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1. Let b be i(2). Let m be (2/6)/((-2)/6). Let v be (-3 - -7)*m/(-2). Is b at least v? False Suppose 2*o - 3*k - 40 = 0, -2*k + 25 = 4*o - 23. Is o < 13? False Let b = 12 + -4. Which is smaller: b or 7? 7 Let g = 5 + -6. Let q = g + 0. Does 0 = q? False Suppose -2*j + k = -7, -4*j - 3*k + 25 = 6. Suppose 0 = -j*w - 5*c - 19, 2*w + w = 2*c - 20. Which is smaller: -7 or w? -7 Let d = -74.1 + 74. Which is smaller: d or 34? d Let k = 0.015 + -0.215. Let q(m) = -m - 1. Let w be q(0). Which is smaller: w or k? w Let m(n) = n**3 + n**2 + n - 1. Let s be m(0). Which is bigger: s or -0.09? -0.09 Let d = -252 + 767/3. Which is smaller: 4 or d? d Let b be (-2 - 1)*2/(-6). Let i(a) = a + 4. Let w be i(-3). Is b less than or equal to w? True Let v = -1.82 + 2.12. Let x = -3.1 + 3. Let w = 0 - x. Are w and v equal? False Suppose 298 + 341 = -9*d. Is -71 equal to d? True Let v = 0.02 + -0.42. Let p = 0.4 + v. Let o = -0.1 + p. Which is smaller: 0.2 or o? o Let m = 6 - 17/3. Let v be 2*14/30 + -1. Let o = v - m. Which is smaller: o or -2? -2 Suppose 5*u + 8 = 33. Suppose 8 + 17 = -u*z. Is -4 >= z? True Let x(r) = r**2 - 7*r + 11. Let o be x(5). Which is greater: -3/10 or o? o Suppose 4*l = 108 + 4. Let w = l + -139/5. Is -1 greater than or equal to w? False Let b be 35/6*16/(-15). Is b at most -5? True Let q = -0.2 - -0.6. Is q equal to 10? False Let q be (-1 + 2)*1/(-1). Which is smaller: q or 0? q Suppose -4 = 5*q - 14. Let g be 0*((-1)/q + 1). Which is smaller: 1 or g? g Let g = 2/93 - 2143/186. Are g and -11 non-equal? True Let x = 32 - 35. Which is smaller: -22 or x? -22 Suppose 3*r - 3*a - 18 = -2*a, 3*r - 6 = 5*a. Let c = -5 + r. Which is smaller: 7/3 or c? c Let k = 63 - 57. Which is greater: 13/2 or k? 13/2 Suppose 2*r + 544 = -d, -2*d = r + 313 + 787. Let w be d/(-56) - (-1)/7. Which is bigger: 8 or w? w Let h(o) = -o - 4 - 1 + 12. Let y be h(7). Which is bigger: y or 2/17? 2/17 Let v be (1 - 3/6)*12. Let y be 2/1 + (-10)/v. Let z = 101/35 + -13/5. Which is smaller: y or z? z Let b = -1 - -1.5. Let g = b - 0.8. Which is smaller: g or 0? g Let o be (2 + -4 + 133)*1. Let k = -1443/11 + o. Let v(g) = g + 4. Let l be v(-5). Is l > k? False Let b = 0 - 3. Let n be (-37)/b + 2/(-6). Let m be 2*(-1 - n/(-11)). Is m less than or equal to 0? False Let r(l) = -3*l + 4. Let h be r(3). Let a(s) = s**3 + 4*s**2 - 7*s - 7. Let f be a(h). Suppose 4*v = v - f. Is 1/3 less than v? False Let b be (-8)/10*(-2)/(-4). Let g = 0 + -0.4. Let t = g + 0.5. Is t greater than or equal to b? True Let d be (4/(-6))/((-6)/(-477)). Is -53 at least as big as d? True Let k be (1/(-3))/(3/9). Let n(d) = -d**3 + d**2. Let p be n(k). Which is smaller: 4/5 or p? 4/5 Let z be 2/425*5/(-1). Which is greater: 0 or z? 0 Let u be ((-1)/2)/(1/12). Let r = -4 - u. Let y be (2/3)/(r/(-6)). Which is smaller: 0 or y? y Let c = -5 + 5.05. Let v = c + 5.95. Let m = v + -6. Is m greater than 0.2? False Let a = -15 - -13. Let r = -1 - 1. Is a at least as big as r? True Let r = -907/5 - -182. Is -0.11 bigger than r? False Suppose -10*g + 5*g = -15. Is -2/7 <= g? True Let q(s) = s**3 + 12*s**2 + 20*s - 4. Let g be q(-10). Are g and -3 unequal? True Suppose 2*u + 3 = 19. Let c be (u/(-10))/((-5)/(-25)). Is -4 <= c? True Suppose 8*j = 6*j + 8, 4*l + 4*j - 12 = 0. Let x = -9803/37 + 265. Which is greater: l or x? x Let q = -5/26 + 97/234. Let r(h) = -h + 9. Let t be r(8). Which is bigger: q or t? t Let k = -0.02 - -0.42. Let u = 0.1 - k. Let i = 1 + 0. Which is smaller: i or u? u Let u be 2/(-1*32/(-12) + -2). Is 2 greater than u? False Suppose -39 = -p + 4*o, 3*o = -2*p - o + 42. Is p greater than or equal to 25? True Let a(w) = -w**3 - 8*w**2 + 2. Let v be a(-8). Which is bigger: v or 3? 3 Let j be (-4)/(-10) - 3/(-5). Which is bigger: j or 2/39? j Let b(v) be the second derivative of v**3/6 - 3*v**2 - v. Let i be b(7). Let u(q) = -q - 2. Let o be u(-4). Which is bigger: i or o? o Let y = 0.15 + -2.15. Is y less than -0.4? True Let m = 2381/9 - 265. Which is smaller: 1 or m? m Let u = 16 - 22. Let x = u + 4. Let v be x*-3*3/(-18). Is -2/5 > v? True Suppose 0 = 5*s - s + 40. Let m be 99/(-30) - (-2)/s. Is -3 not equal to m? True Let c = 24649/19 - 1297. Are 1 and c unequal? True Suppose 0 = 2*i + 3*c - 14, 3*c - 14 = -2. Suppose -l = -2*l - i. Let g be ((0 - -2) + -2)/l. Is 0 less than g? False Let r = -1.04 - -0.5. Let w = r - 0.06. Let n = w + 0.3. Which is bigger: 0.1 or n? 0.1 Suppose -3*d + 4*d + 2 = -3*y, -y - 44 = -4*d. Let b = d + -7. Suppose -b*r = r - 8. Is r > 4? False Let r = -39 - -40. Which is bigger: r or -1? r Let k = 3 + -2. Let o = -8.5 + 9. Are o and k non-equal? True Let n(b) = -4*b - 13. Let u be n(-3). Is -1/4 greater than u? True Suppose 5*y + 251 = 3*j, y = 2*y + 3*j + 61. Which is smaller: y or -51? y Let m = -1987/35385 + -1/1011. Is 1 greater than or equal to m? True Let k = 18 - 18.02. Which is greater: -1 or k? k Let l(i) = i**3 - 12*i**2. Let u be l(12). Which is smaller: 1/5 or u? u Suppose -c + 5 - 10 = 0. Let k = -7 - c. Is 0 smaller than k? False Suppose -3*c - 4 - 5 = 0. Let n be (-7)/6 - c/6. Are -1 and n nonequal? True Suppose 0 = -a - 41 + 5. Let h = a + 250/7. Which is smaller: h or 0? h Let h = 0.8 - 0. Let c = h - 1.1. Which is greater: c or -0.1? -0.1 Let r = 0.783 - -0.017. Which is greater: r or 0.2? r Let z be 6/(-4) + 13/(-26). Is 2 > z? True Let m(b) = 6*b - b**2 + 37 - 18 - 23. Let v be m(5). Which is greater: 1/3 or v? v Let g = 15 - 14.6. Which is smaller: g or 5? g Let n(y) = -y**2 + 3*y + 3. Let z be n(4). Suppose f = -3*l - 11, 4*f = -6*l + 8*l + 12. Is z bigger than f? False Let c be ((-2)/(-28))/(6/(-36)). Let p = 10 - 11. Which is greater: c or p? c Let z be 1/((-3)/(-3) - 0). Let x be (z/3)/(2/(-6)). Let s be (1 + x - 0)/1. Is s equal to -1? False Let k = -19 - 7. Which is smaller: k or 2/3? k Let w = 1/44 + 83/220. Let p(n) = -n**2 + 6*n + 3. Let i be p(7). Which is greater: i or w? w Suppose 5*f = 5*k - 9*k + 3, -k - 3 = 5*f. Let i be ((-1)/(-2))/((-2)/12). Is f not equal to i? True Let a(y) = -y**2 - 9*y - 9. Let t be a(-8). Let g be 0 + 0 + 2/(-4). Which is smaller: t or g? t Let i = -582 + 1766/3. Which is smaller: i or 6? 6 Let l = -2.196 - 0.184. Let j = l + 2.5. Is j greater than 1? False Let b be (-16)/(-12)*(-3)/2. Let n = -1 - b. Is 2 equal to n? False Suppose -13*h + 166 = -393. Is h bigger than 45? False Let w = -2327 + 9237/4. Are w and -17 nonequal? True Let f(z) = -z**2 - 3*z - 5. Let a be f(-4). Are a and -42/5 nonequal? True Let a = -57 + 57. Is a <= 3/34? True Let p = 6812/601 + -2/1803. Do p and -2/7 have the same value? False Let r(i) = i**3 + i**2 - 2*i - 1. Let v be r(2). Suppose 0 = -d + v - 4. Let s(j) = j + 11. Let y be s(-8). Is d less than or equal to y? True Let j = 5.8 + -7. Let c = -1.1 - j. Which is greater: 3 or c? 3 Suppose y - 5 = -3*d, 4*y = 3*d + 21 - 1. Is 7 < d? False Let a(k) = -k**2 - 10*k - 16. Let h be a(-3). Let c(y) = 4*y**2 + 3*y + 2. Let p be c(-2). Let z = h - p. Are z and -6 equal? False Let q(p) = -p**2 - p - 3. Suppose -w + 8 - 1 = -4*h, -2*h = 5*w + 9. Let v be q(h). Are -5 and v non-equal? False Let s = 6.1 - 6. Let h = -0.12 - -8.12. Let c = h - 9. Is c >= s? False Let d = 0.06 - -0.14. Let s = d - 7.2. Is s at least 1? False Let s = 2.7 + 0.3. Let p = s + -2.96. Do p and -1 have the same value? False Let x be 1*-3 + 6 + -7 + 3. Are 1/142 and x equal? False Let c be 51/13 + 2/(-3)*6. Which is greater: 0 or c? 0 Let u be (-12)/(-2)*(-3)/(-6). Let n(y) = y**2 + 5*y - 3. Let a be n(-6). Is u less than or equal to a? True Let i = -0.04 + 2.04. Let z = 1.9 - i. Is 1/5 equal to z? False Let v = 12.1 - 12. Let y = 1.8 - 0.8. Which is greater: v or y? y Let h = 1/3 - 7/12. Let v(c) = c**3 - 2*c**2 + 2*c - 3. Let s be v(2). Suppose 0 = -g - s. Are h and g non-equal? True Let f(v) = -v**2 - 3*v + 4. Let u be f(-4). Let t = 45 - 139/3. Is u less than t? False Let n = -71 + 72. Which is greater: 2/137 or n? n Let u = -5 - -8. Is 4 <= u? False Let t(o) = -o**2 + 9*o - 5. Let c = 17 + -9. Let p be t(c). Let i be (-2)/3*p/2. Which is smaller: -2/17 or i? i Suppose 3*u + 2 = -4*t, 0 = -2*u + 2*t + t - 7. Is -10/9 equal to u? False Suppose -2*d - 5*u = 3, -4 = -d - 4*d - u. Suppose 3*m - 1 = 4*o + 39, 32
{ "pile_set_name": "DM Mathematics" }
visor of v and b? 7 Let g be -2 - -1 - (-69)/(-6)*-2. What is the highest common divisor of 154 and g? 22 Suppose -2*a - 15 = -7*a. Calculate the highest common factor of 12 and a. 3 Suppose 0*s + 4*s - 168 = 0. What is the greatest common divisor of 21 and s? 21 Let c = 51 + -30. Calculate the highest common factor of c and 3. 3 Let i(h) be the first derivative of -3 - 9/2*h**2 + 0*h. Let p be i(-2). What is the greatest common factor of p and 9? 9 Let g(a) = -a + 9. Let q be g(0). Suppose -5*t + q = -61. Let i(o) = 2*o - 6. Let c be i(4). Calculate the greatest common factor of t and c. 2 Suppose 6*y - 82 = 4*y. Suppose -15 = -3*x + 4*w, 4*x = -2*w + y + 1. What is the greatest common divisor of x and 1? 1 Suppose 15 = -2*v + 5*v. Calculate the highest common factor of v and 5. 5 Suppose 8 = -2*c + 2*n + 54, -32 = -c + 4*n. Suppose -3*y + 240 = y. What is the highest common divisor of y and c? 20 Let y be (2/(-3)*12)/(-1 + 0). What is the greatest common factor of y and 8? 8 Let p be (-2)/(2/1)*0. Let t be 3 + p + 19 + 3. What is the highest common factor of t and 10? 5 Let u(f) = -14*f + 8 - f**3 - 7*f + 10*f**2 + 12*f. Let m be u(9). Suppose -6*w + 200 = -w. What is the highest common divisor of m and w? 8 Suppose 3*r = r + 4. Suppose -2*l = 2*n - 56, 5*n - 76 - 70 = -r*l. Let j be ((-22)/6)/((-2)/n). Calculate the greatest common divisor of 11 and j. 11 Suppose 2*p = -2*n + 10, 5 = 4*n + 3*p - 13. Calculate the highest common divisor of 15 and n. 3 Suppose 29*c + 630 = 34*c. What is the greatest common divisor of c and 84? 42 Suppose 16 = 5*h - 14. Let z be h/(-24) + (-42)/(-8). Calculate the greatest common divisor of 55 and z. 5 Let b = -7 - -12. Suppose b = -t - 1. Let h be 37/3 + 2/t. What is the highest common divisor of h and 48? 12 Suppose -n + 8 = -7. Let j(s) = -18*s - 6. Let i be j(-4). Suppose k - 9 = i. Calculate the highest common factor of n and k. 15 Let v(a) = -4*a + 2. Suppose -3 = w - 2. Let s be v(w). What is the highest common factor of 48 and s? 6 Let i(t) = 13*t + 5. Let g be i(4). Let b be (2 - g/15)*-5. Suppose -2*x + 86 = 4*k - 20, -5*k = 4*x - 131. What is the greatest common divisor of b and k? 9 Suppose 25 = -0*a + a. Suppose 0*t + t = 5. Calculate the highest common divisor of a and t. 5 Let z be (-2)/2 - (5 - 8). Suppose -z*c + 260 = 64. Calculate the greatest common factor of c and 14. 14 Let g(v) = 2*v**2 + 7*v - 2. Let a be g(-6). What is the highest common divisor of a and 7? 7 Let p(w) = -1 - 5*w + w**3 - 3*w**2 + 5 + 2. Let d be p(4). Calculate the highest common divisor of 1 and d. 1 Let z(o) = -7*o + 17. Let b be z(-7). Calculate the greatest common factor of 33 and b. 33 Let l be (-12)/(-2) - (-4)/2. Let i = 1 - -9. Let g be i/1 - (0 + 2). What is the highest common factor of g and l? 8 Let l(v) = -v**3 - 5*v**2 + 4*v. Let r = 23 + 7. Suppose -6*b = -b + r. Let i be l(b). What is the highest common divisor of 12 and i? 12 Suppose -5*f - l + 2624 - 757 = 0, 0 = 2*f - 5*l - 736. Suppose 3*k = 2*h - f, 4*k - 236 = -2*h + 116. Calculate the highest common factor of h and 26. 26 Let s(v) = -v**2 + 12*v - 15. Let x be s(10). Suppose x*u - 684 = u. What is the highest common divisor of 19 and u? 19 Let q(j) = 4*j - 5*j**2 - 5*j + 2 + 3*j + j**3. Let d = -8 - -13. Let c be q(d). Calculate the highest common factor of c and 108. 12 Let n = 21 + -20. Let z be (-51)/(-15) - (-4)/(-10). Suppose -n - z = -t. What is the highest common divisor of 6 and t? 2 Let h(r) = 5*r - 44. Let x be h(13). Calculate the greatest common factor of 42 and x. 21 Let h(g) = 9*g - 39. Let m be h(6). Calculate the greatest common divisor of 165 and m. 15 Suppose 0 = -3*h + r + 136, 4*h + 2 - 177 = -5*r. Calculate the highest common factor of h and 105. 15 Suppose 5*u - 42 = -z, 6*z - 2*z = -4*u + 200. Calculate the highest common factor of 26 and z. 26 Suppose -2*y - 9 = -y. Let l = -4 - y. Let i = l + -3. Calculate the highest common divisor of i and 16. 2 Suppose -2*w = -6*w + 44. Calculate the highest common divisor of w and 55. 11 Let k be 8/32 - 1/4. Suppose -70 = -t - k*t. Calculate the highest common divisor of 10 and t. 10 Suppose 4*v + 12 + 4 = 0. Let j be 128/9 + v/18. Let s = -8 + j. Calculate the greatest common factor of 24 and s. 6 Let l be (-1)/(-2) - 34/(-4). Let s(c) = -c**3 - 6*c**2 - 9*c - 9. Let b be s(-6). Calculate the greatest common divisor of l and b. 9 Suppose 4*i - 2*i = 24. What is the greatest common divisor of 8 and i? 4 Let f(h) = 8*h**2 - h. Let r be f(1). What is the greatest common divisor of r and 35? 7 Suppose -4*c = 2*a - 66, 2*c = -3*a + a + 32. Suppose b - 14 = -3*i + c, -52 = -4*i - 4*b. Let k = 30 + -21. Calculate the highest common divisor of i and k. 9 Suppose 2*s = -s. Suppose s = 4*n + n. Suppose -4*c + 35 + 49 = n. What is the greatest common divisor of c and 21? 21 Let b(o) = -o**3 - 15*o**2 - 18*o + 16. Let k be b(-14). Calculate the greatest common factor of 8 and k. 8 Suppose 101 + 76 = -3*d. Let g = d - -101. Calculate the greatest common divisor of 21 and g. 21 Let t be (((-48)/15)/2)/((-5)/50). What is the highest common factor of 40 and t? 8 Let f = 43 + -39. Suppose -4 = -3*v + 2. Suppose 3*k = 5*o + 36, v*k = -2*o + 17 + 7. What is the highest common factor of k and f? 4 Let c(g) = -42*g - 1. Let t be c(-1). Let w = -14 + t. Calculate the greatest common divisor of 18 and w. 9 Let i = -35 + 41. Calculate the greatest common factor of i and 66. 6 Let s = 45 + -25. Calculate the greatest common divisor of s and 10. 10 Let v = -4 - -4. Let g be (1 - v)/(4/60). Let z = g + -5. Calculate the highest common divisor of z and 20. 10 Suppose 2*m + 4*m - 408 = 0. What is the highest common divisor of 4 and m? 4 Let s(n) = -n**3 - 12*n**2 - 5*n - 16. Let h be s(-12). What is the greatest common factor of h and 4? 4 Let v = 12 - 9. Calculate the highest common factor of v and 3. 3 Let b(m) = 2*m - 5. Let j be b(6). Suppose -p = -r - 3, r + 3*p - 10 - 7 = 0. Suppose -7 = -r*u + u. Calculate the highest common factor of u and j. 7 Let m(t) = t**2 - t - 5. Let j(s) = 2*s**2 - 7*s + 3. Let r be j(5). Let a be 188/36 - 4/r. Let d be m(a). What is the highest common factor of d and 15? 15 Let s(a) = a**3 - 18*a**2 + 28. Let i be s(18). Calculate the greatest common divisor of 196 and i. 28 Let k = 2 - 0. Suppose x + k*x = 0. Suppose 31 = b - w - 2*w, x = 4*w - 12. Calculate the highest common factor of b and 8. 8 Suppose 0*k + 8 = 2*k. Suppose k*s - 13 = -2*o + 11, 5*o - s - 49 = 0. Let f be (-2)/(-3) + 148/3. Calculate the highest common factor of f and o. 10 Let l = -6 + 8. Suppose 4*k - l*k = 12. Suppose -n = -5*y - 22, 6*n - 2*n - 4*y = 24. What is the highest common divisor of n and k? 2 Suppose -4*t = -3*k + 87, 3*k + 2*k - 110 = -5*t. Calculate the greatest common factor of 10 and k. 5 Let j(a) = -4*a**2 - 1. Let b be j(-1). Let t be ((-4)/b)/(3/75). Calculate the greatest common divisor of t and 4. 4 Let i = 12 + -10. Calculate the highest common factor of 22 and i. 2 Let x(n) = n**2 - 2*n + 8. Let m be x(-6). Let y be 4*1 + (-6 - -9). Calculate the highest common factor of m and y. 7 Suppose n - 528 = -5*n. Calculate the greatest common factor of n and 11. 11 Suppose 12 = -0*m + 3*m. Suppose -m*y = -49 - 59. Let i = 27 + -18. Calculate the greatest common factor of i and y. 9 Suppose -2*d = y + 3*y - 336, -4*y - 4*d + 340 = 0. Suppose 5*s - y = -18. What is the highest common factor of 117 and s? 13 Suppose 0 = 9*q - 10*q - 3. Suppose -11 = -j + 3. Let i = j + q. Calculate the greatest common factor of 22 and i. 11 Let o = 32 + -23. What is the highest common divisor of 45 and o? 9 Suppose -3*h + 480 = 129. Let z = h + -60. Calculate the greatest common divisor of z and 19. 19 Suppose -5*b + 6*y - 2*y + 238 = 0, -4*b = -5*y - 194. Suppose 2*q - b = -v, -51 - 15 = -v + 2*q. Calculate the highest common factor of 14 and v. 14 Let s = -35 - -62. Let k = -17 + s. Calculate the greatest common factor of 80 and k. 10 Let j = 17 + -14. Suppose 0*v = j*v - k - 16, 0 = 2*k + 2. What is the highest common factor of 5 and v? 5 Let o(h) = -1 - 13 - 3*h - 1. Let m be o(-10). What is the highest common factor of m and 15? 15 Let x(g) = 2*g - 4. Let s be x(3). Let d(z) = 7*z - 1. Let f be d(-2). L
{ "pile_set_name": "DM Mathematics" }
picking 4 p? 1/210 What is prob of picking 1 b and 1 w when two letters picked without replacement from pfbpw? 1/10 What is prob of picking 1 c, 1 d, and 1 h when three letters picked without replacement from {f: 1, c: 2, h: 3, d: 1}? 6/35 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, c: 3, w: 5}. 5/36 What is prob of picking 2 k and 1 o when three letters picked without replacement from {k: 2, a: 1, o: 1}? 1/4 Four letters picked without replacement from {x: 4, v: 3}. What is prob of picking 3 x and 1 v? 12/35 Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, u: 7, y: 9}. 4/17 Two letters picked without replacement from {o: 1, e: 1, c: 1, i: 1, b: 1}. What is prob of picking 1 o and 1 e? 1/10 What is prob of picking 1 h and 3 i when four letters picked without replacement from ihhii? 2/5 Four letters picked without replacement from {d: 2, s: 2, r: 1, g: 4, n: 1}. Give prob of picking 2 g, 1 n, and 1 s. 2/35 Three letters picked without replacement from {l: 3, e: 5}. What is prob of picking 2 e and 1 l? 15/28 Two letters picked without replacement from ciwcicwiwiwcii. Give prob of picking 1 i and 1 c. 24/91 Two letters picked without replacement from krhhhhhhkkkkhhhhhhhh. What is prob of picking 1 h and 1 k? 7/19 Two letters picked without replacement from {d: 1, i: 3, c: 3, l: 7, r: 2, v: 1}. Give prob of picking 1 l and 1 v. 7/136 Calculate prob of picking 3 z when three letters picked without replacement from {z: 10, e: 4}. 30/91 Two letters picked without replacement from {s: 3, t: 3, k: 1, u: 2, b: 1}. What is prob of picking 1 s and 1 k? 1/15 What is prob of picking 2 i and 1 y when three letters picked without replacement from {q: 1, y: 3, i: 16}? 6/19 Two letters picked without replacement from {m: 17, j: 3}. Give prob of picking 1 m and 1 j. 51/190 Three letters picked without replacement from {r: 3, u: 6, c: 1, v: 3}. What is prob of picking 2 v and 1 u? 9/143 Calculate prob of picking 3 q when three letters picked without replacement from qeeedxqmeeqm. 1/220 Four letters picked without replacement from {r: 7}. Give prob of picking 4 r. 1 Three letters picked without replacement from {i: 2, r: 1, j: 1, s: 2, l: 1, v: 1}. What is prob of picking 1 v and 2 s? 1/56 Three letters picked without replacement from {t: 1, m: 1, c: 2, l: 10}. Give prob of picking 1 c, 1 t, and 1 m. 1/182 Three letters picked without replacement from glmlmlrmvv. Give prob of picking 1 l, 1 m, and 1 g. 3/40 Two letters picked without replacement from kkkkzkkkkkkkzkzkkz. Give prob of picking 2 k. 91/153 Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 2, l: 1}. 2/3 Three letters picked without replacement from mvvvtkvmtavvtvffmtat. What is prob of picking 2 f and 1 k? 1/1140 What is prob of picking 2 g when two letters picked without replacement from {g: 4, s: 1, l: 5}? 2/15 What is prob of picking 3 p when three letters picked without replacement from {p: 10}? 1 What is prob of picking 2 x and 1 v when three letters picked without replacement from {u: 1, e: 2, h: 1, x: 3, v: 3}? 3/40 Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {j: 7, n: 12}. 84/323 What is prob of picking 2 h and 1 n when three letters picked without replacement from {n: 4, h: 3, k: 5}? 3/55 What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 7, c: 7, u: 2}? 49/120 Three letters picked without replacement from mmmmaalmymmmlaalmmm. Give prob of picking 1 a, 1 y, and 1 m. 44/969 Two letters picked without replacement from gggggaggga. Give prob of picking 2 g. 28/45 Two letters picked without replacement from enwpnjjpjp. What is prob of picking 1 e and 1 w? 1/45 Two letters picked without replacement from trrtrtr. What is prob of picking 2 t? 1/7 Two letters picked without replacement from {q: 2, j: 9}. Give prob of picking 2 q. 1/55 What is prob of picking 3 d when three letters picked without replacement from hhaadahdada? 1/165 Two letters picked without replacement from {k: 11, d: 5}. What is prob of picking 2 k? 11/24 What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 1, j: 2, p: 4, q: 2}? 1/18 Four letters picked without replacement from {a: 12, e: 2, p: 4, m: 2}. What is prob of picking 3 p and 1 a? 16/1615 What is prob of picking 2 q and 1 m when three letters picked without replacement from qmqmqmmmmqmam? 24/143 Two letters picked without replacement from {y: 1, o: 1, r: 1, i: 1, u: 1}. What is prob of picking 1 i and 1 y? 1/10 Calculate prob of picking 2 n and 1 w when three letters picked without replacement from awnwznanaanananan. 21/340 Three letters picked without replacement from {r: 1, t: 11, i: 3, x: 2, d: 1}. Give prob of picking 1 i, 1 x, and 1 r. 1/136 Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, y: 1}. 1/2 Two letters picked without replacement from lzgz. Give prob of picking 1 g and 1 z. 1/3 Two letters picked without replacement from {q: 11, o: 2, v: 1, z: 1, i: 3}. What is prob of picking 1 o and 1 q? 22/153 Calculate prob of picking 1 f and 3 p when four letters picked without replacement from pfpppfpfpfff. 8/33 Calculate prob of picking 3 r and 1 f when four letters picked without replacement from rxfgx. 0 Three letters picked without replacement from {a: 9}. What is prob of picking 3 a? 1 Two letters picked without replacement from oppaoairjopp. What is prob of picking 2 p? 1/11 What is prob of picking 2 o when two letters picked without replacement from crgzczgccgoccrgzz? 0 Three letters picked without replacement from {y: 2, r: 3, z: 5, v: 5}. Give prob of picking 1 v and 2 z. 10/91 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 2, l: 4, t: 2, m: 1, k: 1}. 2/45 Calculate prob of picking 2 c when two letters picked without replacement from {u: 2, c: 9}. 36/55 Four letters picked without replacement from {q: 4, g: 3, b: 2}. Give prob of picking 2 g and 2 q. 1/7 What is prob of picking 2 r and 2 t when four letters picked without replacement from {r: 3, t: 2}? 3/5 What is prob of picking 1 u and 3 q when four letters picked without replacement from {s: 1, u: 7, d: 2, n: 4, q: 4}? 7/765 Two letters picked without replacement from qqwsw. Give prob of picking 2 w. 1/10 Four letters picked without replacement from {a: 3, v: 2, x: 6, w: 8}. What is prob of picking 1 w, 1 v, and 2 a? 4/323 Calculate prob of picking 2 b and 1 u when three letters picked without replacement from {k: 1, u: 1, m: 1, b: 2}. 1/10 What is prob of picking 1 v and 2 f when three letters picked without replacement from fvfqflfffqfvffqqfff? 44/323 Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {n: 2, d: 4, m: 1}. 4/21 Calculate prob of picking 1 s and 2 c when three letters picked without replacement from {u: 1, l: 4, s: 1, d: 2, c: 2}. 1/120 Two letters picked without replacement from {k: 1, c: 2, u: 1, i: 1, t: 2, q: 2}. Give prob of picking 1 q and 1 c. 1/9 What is prob of picking 1 p and 2 y when three letters picked without replacement from jpppppppypyyypppy? 11/68 Three letters picked without replacement from {m: 7, l: 1, u: 4, j: 2, s: 1, z: 4}. Give prob of picking 1 z, 1 l, and 1 s. 4/969 What is prob of picking 3 u when three letters picked without replacement from xewuewueewwuwieuwwxd? 1/285 Three letters picked without replacement from wwwam. What is prob of picking 3 w? 1/10 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from nxxxqxxqqxqqnxqqqq. 2/17 Four letters picked without replacement from eweooofoowwoeoeh. What is prob of picking 1 h, 2 e, and 1 w? 9/910 Three letters picked without replacement from ffbbbqfbfbbfbibbb. What is prob of picking 1 f, 1 b, and 1 q? 5/68 Calculate prob of picking 2 q and 1 p when three letters picked without replacement from {q: 3, r: 3, y: 2, g: 1, p: 4, t: 2}. 12/455 Four letters picked without replacement from {h: 6, u: 5, g: 2}. Give prob of picking 1 h, 1 g, and 2 u. 24/143 Calculate prob of picking 1 e and 3 z when four letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
qrt(2) Simplify (0 + sqrt(108))**2 + -2. 106 Simplify (3*sqrt(14)*-5)/sqrt(7). -15*sqrt(2) Simplify (sqrt(12)/sqrt(6))**2*-3 + 0. -6 Simplify -2 + 1*sqrt(13) + 3. 1 + sqrt(13) Simplify sqrt(30)/sqrt(6)*4 + (sqrt(5) - sqrt(80)/sqrt(4)). 3*sqrt(5) Simplify (sqrt(11)*5 + 2)*4. 8 + 20*sqrt(11) Simplify -2 + sqrt(2156). -2 + 14*sqrt(11) Simplify 2 + (2 + sqrt(72))**2. 24*sqrt(2) + 78 Simplify 1*(sqrt(11) + sqrt(11) + 2)*5*-6. -60*sqrt(11) - 60 Simplify 6*((sqrt(7) - 6*-2*sqrt(7))**2 + (sqrt(7) - (sqrt(1008)*-1)**2)). 6*sqrt(7) + 1050 Simplify 3 + (sqrt(343) - (2*sqrt(343) - sqrt(343))**2)*5. -1712 + 35*sqrt(7) Simplify (-1*sqrt(513) - sqrt(57))/(sqrt(147)*-2 - sqrt(3)). 4*sqrt(19)/15 Simplify -3*(-3*sqrt(44)/sqrt(4) + sqrt(704)*-1)*5. 165*sqrt(11) Simplify -4 + 4 + sqrt(19)*2 + ((sqrt(57)/sqrt(3) - sqrt(19)) + -2)**2. 4 + 2*sqrt(19) Simplify ((sqrt(350) - sqrt(350)*-1 - sqrt(350)) + sqrt(350))/sqrt(7). 10*sqrt(2) Simplify ((sqrt(133)*-2*1)/sqrt(7))**2. 76 Simplify (-2*sqrt(5))**2*-3 - sqrt(40)/(sqrt(24)/sqrt(3)). -60 - sqrt(5) Simplify 0 + sqrt(1584) + 2. 2 + 12*sqrt(11) Simplify ((sqrt(1539) - (sqrt(1539) - sqrt(1539)*1))*4)**2. 24624 Simplify 3*sqrt(21)/sqrt(3)*1. 3*sqrt(7) Simplify (2*sqrt(121))/sqrt(11) - (2 + sqrt(44)). -2 Simplify (sqrt(72) + (sqrt(72) - 4*sqrt(72)) + 4 + sqrt(72))**2. -48*sqrt(2) + 88 Simplify 5 + ((sqrt(3) - (1 + (sqrt(27))**2)) + sqrt(3) + sqrt(3) - -5*sqrt(3)*-3). -23 - 12*sqrt(3) Simplify (2 + (sqrt(5) - sqrt(180)*3))**2. -68*sqrt(5) + 1449 Simplify 2*sqrt(51)/(sqrt(3) + (-3*sqrt(3) - sqrt(3)) + sqrt(3)). -sqrt(17) Simplify -5 + (-2*sqrt(85)*-2)/sqrt(5) + -5. -10 + 4*sqrt(17) Simplify sqrt(4)/sqrt(2) + -1 + sqrt(72)*2 + -1. -2 + 13*sqrt(2) Simplify 3*(-2 + sqrt(1053)) - sqrt(1053). -6 + 18*sqrt(13) Simplify sqrt(18)*-4 - (sqrt(12)/sqrt(6) + 3). -13*sqrt(2) - 3 Simplify (-1*sqrt(190)*5 + sqrt(190) + sqrt(190))/sqrt(10)*-4. 12*sqrt(19) Simplify sqrt(57)/(sqrt(75)*-1). -sqrt(19)/5 Simplify ((-2*sqrt(88))/sqrt(2))/(3*sqrt(4)*5 - sqrt(4) - sqrt(4)). -2*sqrt(11)/13 Simplify (-1 + sqrt(700) + 5 - (-1 + sqrt(700) + 1))**2. 16 Simplify 4*(5*sqrt(112) - sqrt(7) - sqrt(7) - ((sqrt(7) - (sqrt(7) + 0))*-2)**2). 72*sqrt(7) Simplify (sqrt(150)/sqrt(5))/sqrt(6) + (-3*(sqrt(5) + sqrt(45) + sqrt(5)))**2. sqrt(5) + 1125 Simplify (-1*sqrt(2000) - sqrt(2000))/sqrt(10). -20*sqrt(2) Simplify ((sqrt(128) + sqrt(2) + (sqrt(2) + sqrt(2)*-2 - sqrt(2)) + 2)*4)**2. 448*sqrt(2) + 1632 Simplify sqrt(3) + ((2 + sqrt(3))*3)**2 + sqrt(3) + 0. 63 + 38*sqrt(3) Simplify 5*(-1 + sqrt(11)) + 0. -5 + 5*sqrt(11) Simplify -2 + sqrt(110)/(sqrt(110)/sqrt(99)). -2 + 3*sqrt(11) Simplify (sqrt(18)/(sqrt(9) + sqrt(45)/(sqrt(30)/sqrt(6) + sqrt(5))))**2*4. 32/9 Simplify sqrt(1573) + (sqrt(1573) + 0)*-3. -22*sqrt(13) Simplify (-1*-1*sqrt(156))/(1*sqrt(12)*-4). -sqrt(13)/4 Simplify sqrt(7) + sqrt(672)/sqrt(6) - (-1*sqrt(63))**2. -63 + 5*sqrt(7) Simplify (-5*(sqrt(1872) + 2*sqrt(1872) - sqrt(1872) - sqrt(1872))*1)**2. 46800 Simplify (sqrt(48)/(sqrt(12) - sqrt(12)*-1) - sqrt(4))/sqrt(2). -sqrt(2)/2 Simplify ((sqrt(1700) - 1*(3 + sqrt(1700)))**2 + sqrt(1700))*4. 36 + 40*sqrt(17) Simplify -5*(sqrt(5) - sqrt(20)/sqrt(4))*6. 0 Simplify -1*(sqrt(98) + -1)*-6. -6 + 42*sqrt(2) Simplify (-3*sqrt(132)*-2)/(sqrt(300) - 2*sqrt(300)). -6*sqrt(11)/5 Simplify sqrt(132)/(2*(sqrt(12) + sqrt(24)/sqrt(2))). sqrt(11)/4 Simplify ((sqrt(152) + sqrt(152)*-2 + sqrt(152))*-5)/sqrt(8). 0 Simplify sqrt(700) + -5 - (-6*(sqrt(28)/sqrt(4))**2 - sqrt(7)). 11*sqrt(7) + 37 Simplify (-5*(sqrt(75)/sqrt(3) + sqrt(25)))/(-3*sqrt(5)*-1). -10*sqrt(5)/3 Simplify (sqrt(270)/sqrt(5))/sqrt(2). 3*sqrt(3) Simplify -4*2*-4*-1*sqrt(180). -192*sqrt(5) Simplify (sqrt(99) + 0 + sqrt(99) + sqrt(99))**2 - (sqrt(99) + (-5*sqrt(99) - sqrt(99)))/sqrt(9). 5*sqrt(11) + 891 Simplify -3 + (sqrt(1980)/sqrt(11))**2. 177 Simplify (-3 + sqrt(1573) + -3 + sqrt(1573) + 0)**2. -264*sqrt(13) + 6328 Simplify ((sqrt(119) - 1*sqrt(119) - sqrt(119) - sqrt(119))*5)/(sqrt(84)/(2*sqrt(12))). -20*sqrt(17) Simplify (sqrt(5324)*-1)/(sqrt(36)/(sqrt(36) + sqrt(9) + sqrt(9))). -44*sqrt(11) Simplify 1 + (4 + sqrt(5)*3)**2 + sqrt(30)/sqrt(6)*6. 62 + 30*sqrt(5) Simplify (sqrt(39) + (-2*sqrt(78) + sqrt(78))/sqrt(2) - sqrt(39))/(sqrt(36)/(sqrt(48)/sqrt(4))). -sqrt(13) Simplify (sqrt(567) - (0 + sqrt(567) + -1))**2. 1 Simplify (((sqrt(55) + sqrt(165)/sqrt(3) + sqrt(55))/sqrt(5) + sqrt(11))**2 - (sqrt(176) + 4)) + 0 + -1*sqrt(1584). -16*sqrt(11) + 172 Simplify 2 + 2 + sqrt(252). 4 + 6*sqrt(7) Simplify (5 + sqrt(76)/sqrt(4)*-4)**2. -40*sqrt(19) + 329 Simplify (sqrt(11) - (sqrt(11) + 4 + -4)) + 4. 4 Simplify sqrt(60)/(sqrt(36)/sqrt(3)*-1). -sqrt(5) Simplify (sqrt(605) + -1*sqrt(605) + sqrt(605) + 3 + -1 + sqrt(605) + (sqrt(605) - (sqrt(605)*-1 - sqrt(605))) + sqrt(605))**2. 264*sqrt(5) + 21784 Simplify sqrt(6)/sqrt(2)*2*4. 8*sqrt(3) Simplify ((sqrt(35) - (sqrt(1715) + sqrt(1715)*-1))/((sqrt(960) - sqrt(60))/sqrt(12)))**2. 7/9 Simplify (sqrt(117) + 4*sqrt(117)*2)/sqrt(9) + 0. 9*sqrt(13) Simplify -1 + (-4*(sqrt(2057)*-3 + sqrt(2057)))**2 + sqrt(2057) + sqrt(2057). 22*sqrt(17) + 131647 Simplify (((2*sqrt(70))/sqrt(10) - sqrt(70)/(sqrt(10) + sqrt(10)*1))*-3)**2. 567/4 Simplify (sqrt(6)/((sqrt(36)*-2)/sqrt(12)))**2. 1/2 Simplify 5 + -2 + 1*sqrt(5) + -2. 1 + sqrt(5) Simplify (sqrt(99) + 2 + -2)**2 - ((sqrt(11) - (-2 + sqrt(11) + -1)) + sqrt(121)/(sqrt(33)/sqrt(3)))**2. -6*sqrt(11) + 79 Simplify -2 + -3*-3*sqrt(19). -2 + 9*sqrt(19) Simplify (sqrt(2106) + sqrt(2106) + (sqrt(2106) - (sqrt(2106)*-1 - sqrt(2106))) + sqrt(2106))/(sqrt(2) - sqrt(128)*1). -54*sqrt(13)/7 Simplify ((sqrt(76) - sqrt(19)) + 5 + sqrt(19) + -2 + sqrt(19)*2)**2. 24*sqrt(19) + 313 Simplify (-3 + sqrt(34)/sqrt(2) - (sqrt(272) + -5))**2*1. -12*sqrt(17) + 157 Simplify ((sqrt(88)*1 - sqrt(88))/sqrt(8))**2 + (sqrt(1331) - sqrt(1331)*1)**2. 0 Simplify (sqrt(2) + 3*sqrt(2) + 0)**2 + -4. 28 Simplify 3 + (((sqrt(99)*1 + sqrt(99))*-3)/sqrt(9))**2. 399 Simplify sqrt(931)*-1*5. -35*sqrt(19) Simplify 3 + (sqrt(396)/sqrt(4))**2. 102 Simplify 2*(sqrt(13) + -1) + sqrt(39)/sqrt(3) + 3. 1 + 3*sqrt(13) Simplify (-4*sqrt(96)/sqrt(72))**2. 64/3 Simplify (0 + sqrt(1573))*-1. -11*sqrt(13) Simplify (sqrt(4608) + sqrt(4608) + sqrt(4608)*-2 + 0 - ((sqrt(4608) - -2*sqrt(4608)) + sqrt(4608) + sqrt(4608) + 5))**2. 2400*sqrt(2) + 115225 Simplify -1*sqrt(240)/(sqrt(5) - (2*sqrt(245) + sqrt(245))). sqrt(3)/5 Simplify (5*sqrt(25))/sqrt(5) + 3. 3 + 5*sqrt(5) Simplify 1*(sqrt(1573) + 1)*-4. -44*sqrt(13) - 4 Simplify -1 + (sqrt(70) + 5*sqrt(70)*2)/sqrt(10). -1 + 11*sqrt(7) Simplify -1 + -5 + sqrt(76)/sqrt(4). -6 + sqrt(19) Simplify -1 + sqrt(5808) - (0 + sqrt(5808)). -1 Simplify ((sqrt(4320) - (2*sqrt(4320) - sqrt(4320)))/sqrt(6))**2. 0 Simplify ((-2*sqrt(1700) - sqrt(1700))*1*2*6)**2. 2203200 Simplify (5*sqrt(209)/(sqrt(22)/sqrt(2))*1)**2. 475 Simplify (sqrt(66) + sqrt(66) + 5*2*sqrt(66))/sqrt(6). 12*sqrt(11) Simplify ((sqrt(15) - (6*1*sqrt(15) + sqrt(15) + sqrt(15)))/((sqrt(99)/sqrt(3))/sqrt(11)))**2. 245 Simplify -5*(sqrt(931) + 0 + sqrt(931)) + sqrt(931) + (sqrt(931) + 6*sqrt(931)*-1 + sqrt(931))**2. -63*sqrt(19) + 14896 Simplify 5 + (-1 + sqrt(5) + 3)**2. 4*sqrt(5) + 14 Simplify (-1*sqrt(14)*-1 - sqrt(14))/sqrt(7). 0 Simplify ((-2*sqrt(39))/sqrt(3) + 2)**2. -8*sqrt(13) + 56 Simplify 4 + (sqrt(8)*2)/sqrt(4). 2*sqrt(2) + 4 Simplify sqrt(19) - (sqrt(152)/(4*sqrt(8) + sqrt(8)))**2 - (sqrt(228)*1)/sqrt(12). -19/25 Simplify (-2*sqrt(112)*3 + 4)**2*1. -192*sqrt(7) + 4048 Simplify (sqrt(1216)*-4 + sqrt(1216) + sqrt(1216))**2 - (sqrt(1216) + sqrt(1216) + (-4*sqrt(1216))**2). -14592 - 16*sqrt(19) Simplify ((sqrt(2) - 5*-2*sqrt(2))**2 - (sqrt(32) + 2)) + 1. -4*sqrt(2) + 241 Simplify (sqrt(26) - 1*(sqrt(936) - sqrt(26)))/sqrt(2). -4*sqrt(13) Simplify sqrt(405) - (sqrt(405) + -2 + -4). 6 Simplify 0 + -1 + sqrt(153). -1 + 3*sqrt(17) Simplify -1 + sqrt(5) + 5 + sqrt(15)/(sqrt(3)*-1 - sqrt(3) - sqrt(3)). 2*sqrt(5)/3 + 4 Simplify (sqrt(176) + 1 - sqrt(11) - (sqrt(33) + -2*sqrt(33))/sqrt(3))**2 + 3. 8*sqrt(11) + 180 Simplify ((1*sqrt(121) + sqrt(121))*-1)/(sqrt(11) + sqrt(704)*2 + sqrt(11) - sqrt(11)). -2*sqrt(11)/17 Simplify sqrt(117)/(sqrt(27)/sqrt(3)*1) - sqrt(26)/((sqrt(12)*-2)/sqrt(6)). 3*sqrt(13)/2 Simplify (-1*sqrt(130)*-1 + sqrt(130)
{ "pile_set_name": "DM Mathematics" }
4 for j. 4 Solve 15*q = -38*q - 53 for q. -1 Solve 0 = 7*b + 39 - 60 for b. 3 Solve -11*p - 32*p = -43 for p. 1 Solve 32*t = 36*t for t. 0 Solve -20 = 41*v - 46*v for v. 4 Solve -8*c + 7*c = 4 for c. -4 Solve 0 = -15*l - 60 + 165 for l. 7 Solve 1077*y - 1082*y = -25 for y. 5 Solve 7*a + 26 = -2 for a. -4 Solve -11 = 100*m - 111 for m. 1 Solve 0 = -4*w - 0*w + 20 for w. 5 Solve 4354*z - 4370*z + 176 = 0 for z. 11 Solve 13*v = 15*v + 10 for v. -5 Solve 69 = -68*b + 45*b for b. -3 Solve -115 = -14*f - 73 for f. 3 Solve -612 = 106*z - 82 for z. -5 Solve 1 = -19*v + 58 for v. 3 Solve 81 = -7*y + 130 for y. 7 Solve 2*i - 4*i - 8 = 0 for i. -4 Solve 0 = 7*a - 2*a for a. 0 Solve 16*g - 12*g + 12 = 0 for g. -3 Solve -3*x + 99 = 87 for x. 4 Solve -88 + 49 = 13*m for m. -3 Solve -80*t = -56*t - 144 for t. 6 Solve 2*q = -6*q - 24 for q. -3 Solve 0*k - 6*k = k for k. 0 Solve 0 = 10*c + 14*c + 144 for c. -6 Solve 9*u + 31*u + 80 = 0 for u. -2 Solve -c + 66 = 67 for c. -1 Solve 0 = 2*j + 5 - 7 for j. 1 Solve -34 = 5*x - 59 for x. 5 Solve -9*n - 2*n + 22 = 0 for n. 2 Solve 2*u = 5*u - 0*u for u. 0 Solve -41*v + 35*v + 18 = 0 for v. 3 Solve -8*x = 3*x - 33 for x. 3 Solve 0 = 5*q - 10 for q. 2 Solve 58 = h + 54 for h. 4 Solve -8*q - 3 = -5*q for q. -1 Solve 4*o = -4 - 16 for o. -5 Solve 2*r - r + 2 = 0 for r. -2 Solve 4*l = -7*l + 44 for l. 4 Solve 8*j + 13 = -19 for j. -4 Solve -173*d = -159*d + 98 for d. -7 Solve -60 = -40*y + 25*y for y. 4 Solve -69 = 2*c - 69 for c. 0 Solve -8*w = -5*w - 15 for w. 5 Solve -4*b - 1284 + 1264 = 0 for b. -5 Solve 478*l - 490*l = 84 for l. -7 Solve -3 = 15*g - 12*g for g. -1 Solve 9*z + 3 = -15 for z. -2 Solve 3*q - 31 = -16 for q. 5 Solve 365*r = 364*r + 3 for r. 3 Solve 8*z + 8 = 6*z for z. -4 Solve 4*d + 603 = 631 for d. 7 Solve -b - 1 = 2 for b. -3 Solve -4*g + 0*g = -4 for g. 1 Solve 30*t - 187 = 113 for t. 10 Solve -8*z = -3*z + 15 for z. -3 Solve 5*h - 34*h = 87 for h. -3 Solve 17*v - 40 + 57 = 0 for v. -1 Solve 285 = 4*q + 257 for q. 7 Solve -1 = -10*l - 11 for l. -1 Solve 6 = 7*j - 10*j for j. -2 Solve -6*m - 3 = 9 for m. -2 Solve 0 = -21*j + 5*j + 48 for j. 3 Solve -992 = -d - 987 for d. 5 Solve 10 = -4*j + 30 for j. 5 Solve 2238 - 2278 = -8*u for u. 5 Solve -5 = 10*x + 25 for x. -3 Solve 4*r + 22 = 6 for r. -4 Solve 21 = -17*g + 14*g for g. -7 Solve -3*x - 11 = -8 for x. -1 Solve -5*m = 5*m + 20 for m. -2 Solve 28*l + 128 = -68 for l. -7 Solve -40*y = 103 - 423 for y. 8 Solve -182*a + 15*a = -501 for a. 3 Solve -25 = 19*p + 32 for p. -3 Solve -50 = 13*g + 2 for g. -4 Solve -87 + 101 = 2*v for v. 7 Solve 0*y = 8*y - 32 for y. 4 Solve 0 = -40*f + 5 - 125 for f. -3 Solve 7*q = -19 + 19 for q. 0 Solve -82 = 8*o - 138 for o. 7 Solve 10 = 3*n - 5 for n. 5 Solve 31 = 3*m + 22 for m. 3 Solve 11*b + 0*b = -11 for b. -1 Solve 350*x - 325*x + 175 = 0 for x. -7 Solve 1080*n = 1074*n - 48 for n. -8 Solve -6 = -i - 3 for i. 3 Solve 228*n - 211*n = 0 for n. 0 Solve -36 = 3*j - 27 for j. -3 Solve 0 = 30*i - 8*i for i. 0 Solve -97*g + 344 = -11*g for g. 4 Solve -276*i + 268*i = 0 for i. 0 Solve 9*o = 22 - 4 for o. 2 Solve 4 = -13*v + 9*v for v. -1 Solve 181*j = 161*j - 40 for j. -2 Solve -9*s - 4*s + 91 = 0 for s. 7 Solve -57*i + 82 = -32 for i. 2 Solve 0 = 23*u - 10 - 128 for u. 6 Solve 751*k = 754*k + 18 for k. -6 Solve 0 = -3*m - 19*m - 66 for m. -3 Solve 4*x - 8 = -4 for x. 1 Solve 1 - 29 = 14*l for l. -2 Solve -2 = 3*b + 1 for b. -1 Solve -1112*s = -1111*s - 6 for s. 6 Solve 57*i - 61*i = 24 for i. -6 Solve l = 23 - 27 for l. -4 Solve 9*d + 16 = -2 for d. -2 Solve 1265*s = 1272*s for s. 0 Solve 0 = -3*g - 11 + 5 for g. -2 Solve 10*m + 126 = 31*m for m. 6 Solve -12*i = -3*i + i for i. 0 Solve 33*i + 40 = 13*i for i. -2 Solve 29*d - 30 = 44*d for d. -2 Solve 7*t = 10*t - 9 for t. 3 Solve 19*c + 66 = 8*c for c. -6 Solve -5*j - 152 = -142 for j. -2 Solve 12*t = -11*t for t. 0 Solve 20 = -19*k + 9*k for k. -2 Solve 216*f - 219*f - 6 = 0 for f. -2 Solve -76*a + 110 = -131*a for a. -2 Solve 0 = 5*g - 8 - 17 for g. 5 Solve -6 = -2*s + 5*s for s. -2 Solve -6 = -60*g + 63*g for g. -2 Solve -7*m + 2*m = -11*m for m. 0 Solve 113 + 62 = 25*y for y. 7 Solve 17*s + 1188 = 1239 for s. 3 Solve 5*v - 16 = v for v. 4 Solve -60 - 115 = 25*v for v. -7 Solve 116*x + 424 - 76 = 0 for x. -3 Solve -22*l + 22 = -66 for l. 4 Solve -595*j = -597*j - 6 for j. -3 Solve 5*k - 32 = -27 for k. 1 Solve 9*i = 14 - 77 for i. -7 Solve -2 = -3*x + 1 for x. 1 Solve -2*y - 3*y = -2*y for y. 0 Solve -205*n = -200*n - 5 for n. 1 Solve 72*h - 74*h + 6 = 0 for h. 3 Solve -5 = 47*x - 42*x for x. -1 Solve -24*q + 31 = 7*q for q. 1 Solve 2*q + 52 = 62 for q. 5 Solve 3174*t = 3170*t - 36 for t. -9 Solve -3*k + 84 = 108 for k. -8 Solve -21*b + 26*b + 10 = 0 for b. -2 Solve -3*h - 3316 = -3298 for h. -6 Solve 1286*a = 1290*a - 24 for a. 6 Solve 11 - 14 = i for i. -3 Solve 3*w - 15 = -30 for w. -5 Solve -12 = 5*t - 2 for t. -2 Solve 9*z - 33 = 30 for z. 7 Solve 9*i + 1022 = 1049 for i. 3 Solve -3*p + 19 = 10 for p. 3 Solve 156*m + 18 = 147*m for m. -2 Solve -22 + 14 = -2*a for a. 4 Solve 22 - 74 = 13*s for s. -4 Solve 21*s = 9 + 12 for s. 1 Solve -95*h + 132 = -83*h for h. 11 Solve 0 = 108*s + 1275 - 411 for s. -8 Solve -13*s = -32*s + 152 for s. 8 Solve 0 = v - 10 + 5 for v. 5 Solve -29*d - 142 = -287 for d. 5 Solve 7*b = 10*b for b. 0 Solve -3*k + 8*k = -25 for k. -5 Solve -32*c = -240 + 80 for c. 5 Solve 10*p + 6 = -4 for p. -1 Solve -20*b + 21*b - 10 = 0 for b. 10 Solve -11*q = -q - 30 for q. 3 Solve 55*a - 58*a = 15 for a. -5 Solve -41*y - 39 = 84 for y. -3 Solve 91*r = -38*r - 387 for r. -3 Solve -156*f = -153*f + 9 for f. -3 Solve 0 = 26*k - 42*k for k. 0 Solve 0 = 54*d - 51*d + 6 for d. -2 Solve -82*w + 86*w + 20 = 0 for w. -5 Solve -65*z = -69*z - 12 for z. -3 Solve 3*z + 8 - 20 = 0 for z. 4 Solve 0 = -12*q + 566 - 602 for q. -3 Solve -10 = -19*t + 9*t for t. 1 Solve 0 = 37*m - 30*m + 35 for m. -5 Solve 0 = 29*z - 44*z + 105 for z. 7 Solve -25*r = -22*r + 12 for r. -4 Solve 0 = m + 2*m - 9 for m. 3 Solve 4*t + 4 = 20 for t. 4 Solve -70 = -23*t + 58*t for t. -2 Solve 0*l - 5*l = 15 for l. -3 Solve 10*f + 5 - 35 = 0 for f. 3 Solve 3*j + 2*j = 15 for j. 3 Solve 0 = -65*q + 54*q + 66 for q. 6 Solve -7*p + 2*p + 25 = 0 for p. 5 Solve -11*s = -38 - 6 for s. 4 Solve -47*m = -36*m + 11 for m. -1 Solve -5 = -3*c + 8*c for c. -1 Solve 2186*v - 2191*v = -25 for v. 5 Solve 0 = 41*l - 61*l - 120 for l. -6 Solve -30 = -3*w - 39 for w. -3 Solve 0 = m - 13 + 18 for m. -5 Solve 15 - 19 = -2*o for o. 2 Solve 130*v = 9*v + 605 for v. 5 Solve -225 = -41*t + 144 for t. 9 Solve 0 = y + 5 - 7 for y. 2 Solve 26 = -9*z - 19 for z. -5 Solve 0 = 30*v + 12*v + 210 for v. -5 Solve -h - 5 = -10 for h. 5 Solve 62*i + 640 = 142*i for i. 8 Solve 22*t + 35 = 101 for t. 3 Solve 5 = 4*i + 9 for i. -1 Solve 0 = -m + 57*m + 280 for m. -5 Solve 4*m = m + 8*m for m. 0 Solve 22*o - 9*o = 13 for o. 1 Solve -100 + 28 = -9*o for o. 8 Solve 13*y + 2 = -11 for y. -1 Solve -12*d + 11*d = -2 for d. 2 Solve 1630*m = 1627*m + 15 for m. 5 Solve 6 = 39*d - 42*d for d. -2 Solve 204 = 68*z - 340 for z. 8 Solve -7 = 58*x - 65*x for x. 1 Solve -8335*v - 54 = -8341*v for v. 9 Solve b - 1 = 4 for b. 5 Solve -171*r + 174*r = 6 for r. 2 Solve 15 = -9*p + 4*p for p. -3 Solve 8 = 2*z + 14 for z. -3 Solve 10*q = -0*q + 10 for q. 1 Solve 4*i - 2*i = 0 for i. 0 Solve 1 = 3*j + 13 for j. -4 Solve -4 = 12*g - 11*g for g. -4 Solve -20*g - 107 = -27 for g. -4 Solve 0 = 11*x - 0*x + 66 for x. -6 Solve 0 = f + 13 - 11 for f. -2 Solve -334 + 59 = 25*f for f. -11 Solve 2*c = -4*c - 30 for c. -5 Solve -92*r + 95*r = 21 for r. 7 Solve 5*o + 9 = 29 for o. 4 Solve -31 = s - 38 for s. 7 Solve -347 = 13*f - 373 for f. 2 Solve -18*l = -21*l for l. 0 Solve -28*k + 208 = -80*k for k. -4 Solve 11*n = -1 + 1 for n. 0 Solve 8*g + 9*g = -3*g for g. 0 Solve -12*k = 213 - 285 for k. 6 Solve 0 = 7*c + 1 + 6 for c. -1 Solve -5*p + 15 = -10*p for p. -3 Solve 10*a + 5 = -15 for a. -2 Solve 0 = 3*b - 2*b - 2*b for b. 0 Solve 3*a = a + 2 for a. 1 Solve -18*a - 27 = -153 for a. 7 Solve -6*k = 3 - 9 for k. 1 Solve 10*x - 3*x = 35 for x. 5 Solve 2*l - 7*l + 5 = 0 for l. 1 Solve -29*v = -7*v for v. 0 Solve -7*k - 9*k - 64 = 0 for k. -4 Solve 7101*p + 24 = 7095*
{ "pile_set_name": "DM Mathematics" }
19/4) Simplify (y*y/(y*y**(-12)*y))/(y*y/y**3)*y**(-18/5)/(y/(y**(-12)*y)) assuming y is positive. y**(-13/5) Simplify ((h/(h*h/h**(-4)*h*h))/h**(2/19))**48 assuming h is positive. h**(-6480/19) Simplify ((g/((g**(-9)*g*g)/g))/(g/((g**(-2/25)/g)/g)))/(g*g*g/((g**(-3/8)/g)/g))**(6/5) assuming g is positive. g**(-53/100) Simplify ((z/z**(-3/4))**(-3/34)/(z**(3/5)*z**(-7/3)/z))**(1/37) assuming z is positive. z**(5261/75480) Simplify ((n*n**(-21))/n*n*n/n**(6/25)*n)/((n**(2/43)*n*n)/n**(1/8)) assuming n is positive. n**(-173389/8600) Simplify (o**(-1/7)*o**(-1/26))/((o*o*o**3*o)/o**7) assuming o is positive. o**(149/182) Simplify (a**(-2)*a*((a*a*a*a/((a/a**29)/a))/a)/a)/(a**(-15)/((a**(2/9)/a*a)/a)) assuming a is positive. a**(398/9) Simplify (k*k*k*k**(2/33))/k**10*k/(k**(-2/25)/k*k)*k**9 assuming k is positive. k**(2591/825) Simplify ((j**(1/2))**(-2)/(j**(1/3))**16)**(-35) assuming j is positive. j**(665/3) Simplify g*g*(g*g/(g*g**(-19)*g))/g*g*g**(-3/8)*((((g/(g**8*g*g*g))/g)/g)/g)**(1/5) assuming g is positive. g**(721/40) Simplify c**0*c*c/c**(-12)*c*(c**(-5)/c)/c*c**(-15) assuming c is positive. c**(-7) Simplify p**(-11)*p/(p**(-13)/p)*p*(p*p**(-2/13))/(p/(p**(-4/21)/p)) assuming p is positive. p**(998/273) Simplify (g**(-17)*g**24)/((g*g*g/(g*(g**(-2/17)*g)/g)*g)/g*g*g*g**(-2/29)) assuming g is positive. g**(1455/493) Simplify g**22*g/(g*g**(-1)*g)*g*(((g/g**(-1))/g)/g)/((g*g**(-24))/g) assuming g is positive. g**47 Simplify ((t**(-8/9)*t**(-13))**(2/75))**(1/5) assuming t is positive. t**(-2/27) Simplify w/w**(-7)*(w/w**(1/8))/w*w*w/(w*w**7)*w/(w**0/w) assuming w is positive. w**(31/8) Simplify (z**12/z)/(z/(z/(z/(z/z**(4/9)))))*(z**13)**(-4/7) assuming z is positive. z**(197/63) Simplify ((c*c*c**(-1/3)*c*c)/(c**6*c))/(c/(c*c*c**1/c*c*c))**13 assuming c is positive. c**(107/3) Simplify j**3/j**11*j**15*(j*j*j/j**(2/19)*j*j)/j assuming j is positive. j**(207/19) Simplify ((k**(-1/2)*k*k)**(4/7))**(-31) assuming k is positive. k**(-186/7) Simplify w*w/(w*w*w**(-1/12)*w)*w*w*w**(-22)/w*(w/w**(-27)*w)/(w/(w/(w**(12/7)*w))) assuming w is positive. w**(367/84) Simplify t/(t/(t**(-5/6)*t)*t)*t*((t*t**14*t)/t)/t*t**(6/7)/(t*t*t*(t*t*t/(t**(-15)*t))/t*t*t*t) assuming t is positive. t**(-293/42) Simplify (b/(b/(b*b/b**16)*b))**(-2/35)*b**(-22)/(b*b/b**23*b) assuming b is positive. b**(-8/7) Simplify (t**(2/13)*t*t)/t**(-12)*t**(-8)*t**8/t assuming t is positive. t**(171/13) Simplify q**(-25)*(q**(1/43)*q)/q*q**15*q*(q/(q/q**(9/4)))/q assuming q is positive. q**(-1329/172) Simplify d**(1/23)/d*d*d*d**(-2/5)*d*(d/(d*d**(-1)*d))**12 assuming d is positive. d**(189/115) Simplify (a**3)**42/((a/(a**(-2/5)*a))/a)**(2/13) assuming a is positive. a**(8196/65) Simplify ((q**(2/7)*q**(-1/9))/(q**(1/4)*q**(5/2)))**4 assuming q is positive. q**(-649/63) Simplify (((s/s**(-1/2))/(s/(s*(s/s**(2/7))/s)))/(s**(-1/4)/s)**(-5/3))**(-1/44) assuming s is positive. s**(73/3696) Simplify (q**(-12)/(q/(q/q**(-13))))/(q**(-1/28)/q*q**(-18)) assuming q is positive. q**(561/28) Simplify ((o**(8/7)/(o**(-9)/o))/((o/(o*o**(6/7)/o))/o**4))**(-17/2) assuming o is positive. o**(-255/2) Simplify ((w**(2/11)/w*w**7)/((w**(-5)/w)/(w/((w*w/(w*w**(-5)))/w))))**(-6) assuming w is positive. w**(-540/11) Simplify y*y*y*y**(2/55)*(y/y**2)/y*(y*y/(y*y**(1/4)*y)*y)**34 assuming y is positive. y**(2919/110) Simplify ((k/(k*k*k**(-1))*k**10)**(-5/2))**5 assuming k is positive. k**(-125) Simplify (o/((o**(-1/13)/o)/o*o)*o)/(o/(o**(-3/4)/o))*(o**(-3))**(2/63) assuming o is positive. o**(253/1092) Simplify (s**2*s**(-6))/(s**(1/3)/s**(3/13)) assuming s is positive. s**(-160/39) Simplify (k*k/((k*k/k**(-1/4)*k*k)/k))**48/(k*k**5)**(6/11) assuming k is positive. k**(-696/11) Simplify (d*d**15)**(-3/10)*((d/(d/(d*((d/d**(-9)*d)/d)/d)))/d)**(1/16) assuming d is positive. d**(-339/80) Simplify v*v**(-2/9)*v*v**(-2/21)*v*(v/(((v*v**(-25))/v)/v))/v**(-2/5) assuming v is positive. v**(9476/315) Simplify (j/(j/((j*j*j/(j*j/(((j*j**(17/4))/j)/j))*j)/j))*j)/(j/(j**(-4/25)/j))*((j/j**2)/j)/(j/j**(-1/7)) assuming j is positive. j**(-37/700) Simplify (((s/s**15)/s)/s**28)/(s*s**12)**3 assuming s is positive. s**(-82) Simplify ((o/(o**(3/8)/o*o))/(o**1/o))/(o**(-2/9)*o**(-2/7)) assuming o is positive. o**(571/504) Simplify ((t**(1/4)*t*t**(2/17))/(t*t**(-2))**(-18))**(10/7) assuming t is positive. t**(-5655/238) Simplify (c**(-2/61)*c**(-1/3))/(c**(-1/7))**(1/30) assuming c is positive. c**(-1543/4270) Simplify ((y**(-19)/y)/y**(-4/7))/(y**(-1/3)*y**(-35)) assuming y is positive. y**(334/21) Simplify ((f/((f/f**(-1/5))/f)*f*f**1)/(f**0)**(4/5))**(-9) assuming f is positive. f**(-126/5) Simplify (x*(x*(x/x**1)/x)/x*x**4)/(x/(x**(-9)/x))**(1/21) assuming x is positive. x**(73/21) Simplify (i/i**(-1/39)*i**(-2/5))/(i*i**(-18)*(i*(((i/(i/((i/(i*(i/(i*(i**(2/25)*i)/i))/i))/i*i)))/i)/i)/i)/i) assuming i is positive. i**(19057/975) Simplify (((q/q**(-1/4)*q)**(-6/17))**(-2/47))**(39/2) assuming q is positive. q**(1053/1598) Simplify ((g**(-1/5))**(-1/13))**(12/11) assuming g is positive. g**(12/715) Simplify (m/(m*m/(m*m**0*m)))**(1/23)*(m/(m*m*m*(m*m**(-12)*m)/m*m))/(m/(m*m*m**(-2/5)*m)) assuming m is positive. m**(1109/115) Simplify (c**(2/141)*c**32*c)/(c**(-8)/c**(6/23)) assuming c is positive. c**(133855/3243) Simplify ((d**(-1/3)*d)**(-5/7)*(d/((d/(d**3/d))/d))/d**(-3/4))**(-2/67) assuming d is positive. d**(-275/2814) Simplify ((t*(t/t**(-2/3)*t)/t)/t)**(-5/9)/((t/t**(-1/5))/(t/(t**(1/12)/t))) assuming t is positive. t**(-113/540) Simplify (((v/v**(2/9)*v)/v**(-2/7))/(v**(-1)*v**(4/9)))**(26/7) assuming v is positive. v**(1430/147) Simplify (((u*u/u**(-12))/u**5)/((u*u/u**(-2/7)*u)/(u/u**(9/2))))**35 assuming u is positive. u**(155/2) Simplify (((m**(-1/13)*m)/m)/(m*((m*(m**(4/3)*m)/m)/m)/m))/(m*(m/m**(-1/4))/m)**(-37) assuming m is positive. m**(6995/156) Simplify (u**(-6))**(3/25)/(u**17/(u**24/u)) assuming u is positive. u**(132/25) Simplify n**(-5)/n**17*(n**(-6))**17 assuming n is positive. n**(-124) Simplify ((g/(g*g*g**25))/(g/((g/((g*(g/(g**(-3/16)*g))/g)/g)*g)/g)))/(g**(-6)*g**(-17)) assuming g is positive. g**(-35/16) Simplify (n*n*n*n/(n/(n**(-21)*n)))/(n/n**(-16))*(n*n**(7/4)*n)**(3/22) assuming n is positive. n**(-2947/88) Simplify ((l*l/l**(1/4))**42*l**(5/6)*l**5)**(-41) assuming l is positive. l**(-9758/3) Simplify ((b/b**(-1)*b)**(22/3)/((b**(-1)*b)/b)**0)**36 assuming b is positive. b**792 Simplify ((t**(-2/5)/t*t)**(-38))**(1/25) assuming t is positive. t**(76/125) Simplify ((t*(t**9*t)/t*(t*t**(-10)*t*t)/t*t*t*t)**(3/10))**(-38) assuming t is positive. t**(-57) Simplify (u**(7/6)/u)/((u/u**(-3/14))/u*u)*(u/(u**(2/5)/u))/(((((u**(-20/9)*u)/u)/u)/u)/u) assuming u is positive. u**(1819/315) Simplify f**(-19)*(f**(-24)/f)/f*f/(f**(-10/7)/f*f)*f*f**(11/3) assuming f is positive. f**(-796/21) Simplify v**16/v**(2/63)*v**18/(((v**11/v)/v)/v) assuming v is positive. v**(1636/63) Simplify ((w/(w*w*w**(-4/3)))/(w/w**(2/51)))/(w**(2/3)*w*w*w/w**(-2/5)) assuming w is positive. w**(-399/85) Simplify (((q/q**(6/13))/((q**(-6/5)/q)/q))**(4/7))**7 assuming q is positive. q**(972/65) Simplify (((n**(-33)*n)/n*n)/(((n*n*n/n**(5/4))/n)/n))/((n/n**(-2/9))/n**11) assuming n is positive. n**(-791/36) Simplify (v**3/v)**(-16/3)/((v*v**(-2/23)/v)/(v*v**(1/13))) assuming v is positive. v**(-8524/897) Simplify (m**(-16)*m*(m/(m*m**16))/m)/((m*m/m**37*m*m)/(m*m**(-6/11)*m*m*m)) assuming m is positive. m**(49/11) Simplify (k*k**13)/(k**3/k)*k/(k**(-17/4)*k)*k**26*k assuming k is positive. k**(173/4) Simplify (s**(-2/35)*s)**(-1)*(s*s**5)**(-1/66) assuming s is positive. s**(-398/385) Simplify ((d**(-7)*d**9)**(6/13))**(1/11) assuming d is positive. d**(12/143) Simplify ((u**0)**28/(u**10/(u*u**(-8))))**(-1/28) assuming u is positive. u**(17/28) Simplify j*j**5*j/(j*j**12)*(j**(-2)*j)**(-2/33) assuming j is positive. j**(-196/33) Simplify (w*w**16)**(-7)*w**(4/29)*w/(w/(w*w**(-2/57))) assuming w is positive. w**(-194884/1653) Simplify y*y*y**10*y*y**(-13)*(y*y/y**(3/5)*y)**28 assuming y is positive. y**(336/5) Simplify a**13/a**(-2/9)*(a*((a/(a*a/((a/(a**(-2/3)/a))/a)*a))/a)/a)**(-3/2) assuming a is positive. a**(137/9) Simplify r**(5/2)/(r/(r*r**(-7)))*r/r**(-3)*r/(r/(r**3/r)) assuming r is positive. r**(3/2)
{ "pile_set_name": "DM Mathematics" }
d + r. Is d composite? True Let a(p) = -p**3 - 2*p - 3. Let b be a(0). Let g be (2/6)/(1/b) - -5. Let i(d) = 23*d**3 + 4*d**2 + 4*d + 7. Is i(g) composite? False Suppose 3*h + 17*p = 19*p + 18519, -h = -3*p - 6180. Let j = h - 3976. Is j prime? False Suppose 27 = 9*s - 9. Let f(q) = 7693*q + 1. Is f(s) a prime number? True Let w(h) = 690*h**3 - 7*h**2 + 27*h + 15. Is w(13) prime? False Let c(i) be the third derivative of 985*i**5/6 - 5*i**4/8 - 7*i**3/3 + 197*i**2. Is c(-1) a prime number? True Let o(r) = -11097*r - 391. Is o(-20) composite? False Suppose -2*a - 43048 = -3*j, 8*j = 13*j - 5*a - 71740. Let n = j - 6983. Is n a composite number? False Suppose -11*u + 0*u + 11 = 0. Is (1330 + (2 - -5))*u prime? False Let f be 23 + -15 + 2 - 1*5. Suppose f*v - 16893 = -n + 48700, 5*n = v - 13129. Is v a composite number? True Let v = 1005 - 583. Suppose 4*a - v = 2*a + 2*l, 3*a + 2*l = 633. Is a composite? False Is (3 + 0)*644172/36 a composite number? False Let x(b) = -11*b**3 - 16*b**2 - 21*b - 83. Let r be x(-13). Suppose 4*p = -20, 2*d - r = -6*p + p. Is d composite? True Suppose -3*i - 31 = -2*b - 2*i, b + 4*i = -7. Let n(g) = 8*g + 8*g + 14*g + 6 - 44*g + 14*g**2 + 12*g - g**3. Is n(b) a prime number? True Suppose -5*u + 23 = -7. Is -182014*(4/u - (-224)/(-192)) composite? True Suppose 18 = 3*u + 5*b - 15, 30 = 4*u + 2*b. Suppose -i + u*i + i = 0. Suppose 0 = -5*x + 3*a + 4567, 0 = -4*x - i*x + 3*a + 3656. Is x a prime number? True Let t be 4 - (-5 - 770) - 0. Suppose 7*h - t = 3799. Let l = 2365 - h. Is l a prime number? False Let a be 36667 - (22/44)/(2/(-4)). Suppose 18*x - 17314 - a = 0. Is x a composite number? False Let w = 839 - 329. Suppose q + 4*m = 453, -3*q + w = -4*m - 833. Is q composite? False Let a be 6 + (-1 - -7380 - -6). Let q = a + -3434. Is q a composite number? True Is (-1)/4 + 674631216/1472 a composite number? False Suppose -566*a = -565*a - 1312. Let i = a + 309. Is i prime? True Suppose 288974 = 4*q - 4*i - 3498, -q + 73136 = 5*i. Is q prime? True Is (8 + -3 - -33428) + -1*0/3 a prime number? False Let g = -27 - -32. Let v = g + 0. Suppose 2*w - 2*k + 104 = 676, -k = -v*w + 1434. Is w prime? False Suppose 360 + 3726 = -3*d. Let o = d - -2141. Is o prime? False Let s(i) = -15*i - 31*i**2 + 28*i - 9*i + 108*i**2 - 5. Is s(-6) a composite number? True Let g(q) be the third derivative of q**6/60 - q**5/20 + q**4/6 - 13*q**3/6 - 2093*q**2. Suppose 2*n - 4*f + 32 = 6*n, -10 = -5*f. Is g(n) a prime number? False Let h(t) = -10*t**2 - 3*t**2 + 6*t**2 + 6*t + 4*t**3 - 7. Let b be h(4). Suppose s - b = 90. Is s a composite number? False Let x = -683 - -1340. Let c(k) = 2 + x*k + 11 + 8 - 15. Is c(3) composite? True Suppose 8 = -43*l + 47*l. Suppose 0 = q + o - 4, -l*o - 2*o - 38 = -5*q. Suppose 0 = -4*j + 10*p - q*p + 9628, 0 = -5*p + 20. Is j a prime number? True Let s(v) = -v**3 - 21*v**2 + 16*v + 18. Let c be s(-10). Let g = c + 1759. Is g a composite number? True Let b be (-28)/126 - 29023/9. Let o be (2126/5)/(2/(-10)). Let j = o - b. Is j composite? True Let g = 22620 + 48973. Is g a prime number? True Is 10/6 + (-3488)/327 + 212786 a prime number? True Suppose 66*x - 17727564 = 20814440 - 13053794. Is x a composite number? True Let p = -62405 + 136716. Is p composite? False Suppose 50*f = 32*f + 693774. Is f a prime number? True Let t = 206797 + -114060. Is t composite? False Suppose 5*l + 509 - 5644 = 0. Suppose -d - 4*n + 2919 = 0, -2*d - 2*n + l = -4817. Is d a prime number? False Suppose 16*u + 72*u + 743920340 = 428*u. Is u a composite number? False Let i = 3 - 2. Let l be 14/(-21) + 22/6 + i. Is 1/((-6376)/19164 + l/12) a prime number? True Let v(b) = -b**3 - 6*b**2 - 99*b + 67. Is v(-58) a composite number? True Is ((-8)/4)/((-26)/373763) composite? False Let g = -3135 + 9043. Let a(s) = s**2 + 3*s - 4. Let q be a(-4). Suppose 18*h - 22*h + g = q. Is h prime? False Let b(s) = -208*s - 31. Let x(m) = 35*m + m**2 - 2*m**2 - 26*m + 13 + 2*m**2. Let k be x(-6). Is b(k) composite? False Let c(w) = 3*w**2 - 27*w - 43. Let v(i) = -i**2. Let n(o) = c(o) - 2*v(o). Suppose -108 = -193*b + 199*b. Is n(b) a composite number? False Is 196970 + (-16)/((-160)/(-30)) composite? True Suppose 1321830 - 883129 + 1608239 = 20*c. Is c a composite number? True Suppose -26*o + 260959 = -117500 - 164499. Is o a composite number? True Let m(b) = 70*b**3 + 7*b**2 + 12*b + 27. Let c(z) = -70*z**3 - 7*z**2 - 13*z - 28. Let w(x) = 4*c(x) + 5*m(x). Is w(6) a composite number? False Let g = -37 - -80. Suppose m = -g + 52. Is (-9)/(-6)*(-3)/(m/(-1682)) a prime number? False Let i = 574879 + -313908. Is i a prime number? False Let r(i) be the third derivative of -i**6/120 - i**5/30 - i**4/8 - i**3/2 + 18*i**2. Let t be r(-2). Suppose t*h - 1431 - 1488 = 0. Is h a composite number? True Let g(f) = 9*f**2 + 91*f - 1429. Is g(96) a prime number? False Let f(s) = s**3 + s**2 - 8*s. Let n be f(-3). Let o(r) = 131*r + 1. Is o(n) a prime number? True Let m(b) = b**3 + 3*b**2 - 9*b + 4. Let i be m(-5). Is 6 + (-4 + i)*-271 prime? True Is (1/((-1)/1))/(-27 + 7159804/265178) a composite number? False Suppose 5*z - z = 8. Suppose -869 = -3*b + z*x, b = -b - x + 570. Is b composite? True Let j(x) = -x**3 - 12*x**2 + 13. Let u be j(-12). Suppose t = 3*g + 4 - u, 0 = 2*t + 4*g - 12. Suppose 7*r - 14*r + 18011 = t. Is r a composite number? True Suppose -6*o + 3*o + 35 = 5*w, 2*w = -3*o + 23. Suppose -o*v + 10479 = 3694. Is v prime? False Let g(c) = c**2 + 37*c - 53. Let r be g(-40). Suppose 2*k = 5*k - 438. Let n = k - r. Is n composite? False Let f(o) = -7*o - 3*o**2 - 2*o**2 - 24 - 4*o + 4*o**2. Let u be f(-4). Suppose 6*s + 2*m - 12616 = 2*s, s - u*m = 3163. Is s a prime number? False Let y(n) be the first derivative of 571*n**3/3 + 13*n**2/2 - 11*n + 156. Is y(-4) prime? False Let m = 55806 - 25826. Let n = m + -14819. Is n prime? True Let w(b) = -b**2 - 10*b. Let a be w(-10). Suppose -5*l + 0*l + 455 = a. Let y = l - -1078. Is y a prime number? False Let u(c) = -13*c**3 - 31*c**2 - 51*c - 71. Is u(-26) a composite number? False Let x(j) = -j - 21. Let q be x(-12). Let a = 11 + q. Suppose 1 = 3*m + 7, -4*l = a*m - 1456. Is l a composite number? True Suppose 0 = -3*m + 6*m + n - 10, -2*m - 12 = -4*n. Suppose -m*x = 3*s - 7093, -10*x + 2*s - 14198 = -14*x. Is x a composite number? True Let c = -3402 + 6768. Suppose 4*z - 2*z = -4*s - 4766, 4*z + 9562 = 2*s. Let x = c + z. Is x a prime number? True Let y(p) = 5*p - 53. Let g be y(11). Let o(h) = -4*h**2 + 5*h - 8. Let i be o(g). Is 586/((-8)/i*63/18) a composite number? False Suppose 4*h + 11*h = 31*h - 2766928. Is h prime? True Let t(w) = w**3 + 10*w**2 - 21*w + 11. Suppose 24 = -2*g - g. Is t(g) prime? True Let u(k) = -78*k**2 + 8 - 436*k + 194*k**2 + 454*k. Let l be u(-9). Suppose -l = 96*c - 98*c. Is c a composite number? False Let n = 187954 + -31013. Is n prime? True Let a(l) = l**3 - l**2 + 3*l + 21. Let h be a(0). Suppose z + h = 28. Let q(b) = b**3 - 4*b**2 - 3*b + 1. Is q(z) composite? False Suppose 275*h = 160*h + 18413265 + 52072420. Is h a composite number? True Suppose -6422 = 27*k + 4432. Let j = k - -613. Is j a prime number? True Let q(v) = 5*v**2 + 88*v + 2. Let n be q(-18). Suppose -n*s + 46934 = -7*s. Is s prime? False Let m(r) = 17*r**3 - 27*r**2 - 31*r - 93. Let v(l) = -5*l**3 + 9*l**2 + 10*l + 31. Let d(o) = -2*m(o) - 7*v(o). Is d(18) a composite number? False Suppose 2*v + 0*v = 6. Let l(o) = -o**3 + 122*o**2 - 913*o + 129. Let k be l(114). Suppose -m + 3*c + 883 = m, 0 = -v*c + k. Is m a prime number? True Let d be (-2)/(-4) + (-489253)/(-82). Suppose d = p + 4*h, -11*p - h - 17849 = -14*p. Is p a prime number? False Let l = -4143 + 45742. Is l a composite number? True Suppose -46*k = -52*k + 74490. Suppose -4*n - k + 3735 = 0. Let m = -1283 - n. Is m a composite number? False Suppose -23*k + 310154 + 146557 = 0. Suppose 0 = -57*t + 60*t - k. Is t composite? False Let t = -6 - -10. Let k = 1904 + -1900. Suppose -t*q + k*n + 503 = 71, 5*n - 364 = -3*q. Is q prime? True Suppose 6 = -7*f + 27. Let r(j) = 457*j - 10. Is r(f) prime? True Let w = 242 + -237. Suppose -36*r + 113939 = w*r. Is r a composite number? True Suppose -2*u - q = 122440, 5*u - 10*u = 3*q + 306099. Let v = 97018 +
{ "pile_set_name": "DM Mathematics" }
c be ((-12600)/108)/(4/6). Let h = -397 + 274. Let u = h - c. What is the tens digit of u? 5 Let u = -10 - -95. What is the tens digit of u? 8 Suppose 3*b + 44 = 1922. What is the tens digit of b? 2 Let t be (-6)/24 + 30/(-8). Let h = -76 + 45. Let z = t - h. What is the tens digit of z? 2 What is the thousands digit of (4 - 4)/(-5) - (-3 + -2617)? 2 Let q be -24*(-3)/24*10. Suppose -6*g = -126 - q. What is the tens digit of g? 2 Let x = 1926 - 485. What is the hundreds digit of x? 4 Let i = 5 + -5. Let h = 0 + i. Let z = 4 - h. What is the units digit of z? 4 Let h(a) = -a**2 - 8*a + 6. Let c be h(-8). Let u = -8 - c. Let n = 44 + u. What is the units digit of n? 0 Let y be 1/(3/(-606)*-2). Suppose 2*r - 63 = -z, -r + 2*r = 2*z - y. What is the tens digit of z? 5 Let g be 2 + 0 + 1*-4. Let k be g/2 - (2 + -33). Suppose -3*b + 0*b + k = 0. What is the units digit of b? 0 Suppose 12 = 7*s - 3*s + v, s - 5*v - 3 = 0. What is the tens digit of 232 - (0/s)/(-4)? 3 Suppose -3*x = -3*h - 9 - 6, 4*x - 3*h = 25. Suppose j - x + 49 = 0. Let c = 62 + j. What is the tens digit of c? 2 Suppose n - 7 = -4. Suppose l = 54 + n. What is the units digit of l? 7 What is the units digit of 1310*(66/12 + -5)? 5 Let p = -5 + 10. Suppose -3*x - x = -m - 97, p*x - 5*m - 140 = 0. What is the tens digit of x? 2 Let k(r) be the first derivative of 2*r**2 + 1 - 1/4*r**4 - 4/3*r**3 - 4*r. What is the units digit of k(-5)? 1 Let s = 2117 + -1314. What is the hundreds digit of s? 8 Suppose 3*m = 5*l - 15947, -l + 3203 = -5*m + m. What is the tens digit of l? 8 Let i = 171 - 153. Let x = -14 - -3. Let z = i + x. What is the units digit of z? 7 What is the hundreds digit of 3572/36 + 1 - (-8)/(-36)? 1 What is the units digit of 3/9*939*4? 2 Suppose 4*c - 4 = 16. Suppose 4*v + 46 = c*n, -15 = 4*v + 4*n + 13. Let a = v + 34. What is the tens digit of a? 2 Suppose 1 = 3*w + 10. What is the units digit of 10 + (-4 + 10)/w? 8 Let y(s) = -372*s**3 + 2*s**2 - 5*s - 7. What is the units digit of y(-1)? 2 Suppose 45*s - 38*s = 16513. What is the units digit of s? 9 Suppose -r = -4*b - 958, 0 = r - 26*b + 28*b - 982. What is the hundreds digit of r? 9 Suppose 0 = 16*f - 17519 - 16817. What is the units digit of f? 6 Suppose -11425 = -13*w - 2806. What is the hundreds digit of w? 6 Let u(i) = i**3 - 5*i**2 - 5*i - 3. Let l be u(6). Suppose -l*r + 5*m + 237 = r, 0 = -r + m + 59. What is the units digit of r? 8 Suppose 9*v - 441 = 2214. What is the hundreds digit of v? 2 Let v(i) = 10*i - 2*i - 5*i + 1 + 7*i. What is the units digit of v(3)? 1 Let x(q) = -q**2 - 5*q. Let d be x(-6). Let z be d/4*4/(-3). Suppose z*s + 60 = 4*s. What is the units digit of s? 0 Let l(v) = -139*v + 2. Let r(s) = 93*s - 1. Let a(x) = 5*l(x) + 7*r(x). What is the units digit of a(-1)? 7 Suppose 5*h - b = b, 3*h + 2*b = 0. Suppose m - 34 = -h. Suppose m = 2*z + 4. What is the tens digit of z? 1 Let c = 1116 - 1105. Suppose 0 + 25 = 5*k. Let l = c + k. What is the tens digit of l? 1 Let l = -148 + 175. What is the tens digit of l? 2 Let d = 165 + -57. Suppose 28*s - 27*s - d = 0. Suppose -18*n = -15*n - s. What is the units digit of n? 6 Let w be 9/(-5*(-3)/15). What is the units digit of (0 + 70/(-3))*(w + -12)? 0 Suppose 3*k - 10 = -2*k, -2*j - 22 = -5*k. Let n = 7 + j. What is the tens digit of n - -2 - 462/(-14)? 3 Let x = -8 + 2. Let u be (-5 - -3)/(x/9). Suppose u*q + 2*s - 25 = -2*s, -4*q - s + 16 = 0. What is the units digit of q? 3 Let a = 1417 + -868. What is the hundreds digit of a? 5 What is the hundreds digit of (-35 + 34)/(-2 - (-11235)/5619)? 8 Suppose 4*v = -3*v. Suppose 5*i - 60 = -v*i. What is the tens digit of i? 1 Suppose 6 = -3*g, 3*j - 2*j + 432 = 3*g. What is the tens digit of ((-1)/2)/(3/j)? 7 Let u be (-2)/(-3) - (-11)/(-3). Let b(m) = -16*m + 9*m + 2*m - 17*m. What is the tens digit of b(u)? 6 Suppose -5291 = -15*v + 2*v. What is the hundreds digit of v? 4 Let n(l) be the second derivative of l**4/12 - 2*l**2 - l. Suppose 47 = -17*p + 22*p - 3*t, -5*p + 51 = -4*t. What is the units digit of n(p)? 5 Let w(i) = 3*i - 3. Let n be w(7). What is the units digit of n/45 + (-128)/(-5)? 6 Suppose 0 = -j - i + 55, 19 = j - i - 44. What is the tens digit of j? 5 Let n(d) = 14*d**2 - 19*d + 6. What is the hundreds digit of n(5)? 2 Let t(w) = 9*w - 17. Let k be t(4). Suppose 16*n + 264 = k*n. What is the units digit of n? 8 Suppose -z - 752 = -3*w + 4*w, -z + 1501 = -2*w. Let v = -450 - w. What is the hundreds digit of v? 3 Let t = -19 + 19. Suppose -3*x - 3*x + 150 = t. What is the units digit of x? 5 Suppose -3*s + 8 = 2*m - 5, 5*s - 4*m = 7. Let q(p) = 6*p - 190. Let r be q(32). Suppose 4*x = -3*b + 52, -s*x = -0*x - r*b - 22. What is the units digit of x? 0 What is the tens digit of (10 - (-7 + 20)) + 2*101? 9 Let b(x) = 11*x - 3. Let w(d) = d + 1. Let a(q) = -b(q) + 4*w(q). Let n(u) = -20*u + 20. Let t(f) = -11*a(f) + 4*n(f). What is the units digit of t(-7)? 4 Let k be (1 + 2)*(-72 + 5 + -1). Let t = k + 299. What is the tens digit of t? 9 Let o(v) = -v**3 - 16*v**2 - 14*v + 16. Let d be o(-15). What is the units digit of (1 - d)/3 - -20? 0 Let c = -315 + 457. What is the tens digit of c? 4 Let x = 1243 - 878. What is the tens digit of x? 6 Let n be -2*(-2 + -1 + 2). Let r be (40 - 7) + n + -2. Let l = r + -15. What is the units digit of l? 8 Let q(r) = -1007*r - 341. What is the tens digit of q(-3)? 8 Let l = -547 - -609. Let k(x) = -3*x**2 - 2*x + 1. Let q be k(-2). Let t = q + l. What is the units digit of t? 5 Let f = 543 + -78. What is the units digit of f? 5 Let r = 3424 + -1840. What is the units digit of r? 4 Let q be 7 - (-1)/(4/16). Suppose -q*c = -13*c + 28. What is the units digit of c? 4 Suppose 0 = -s + 2 - 3, -s - 171 = 5*b. Let t be b/221 - (-2)/13. What is the tens digit of (39 + -1 - t) + -4? 3 Let r(o) be the third derivative of -o**6/120 + o**5/6 + 13*o**4/24 + 11*o**3/6 + 22*o**2. What is the units digit of r(9)? 9 Suppose f + 0*f - 5 = 0. Suppose 2*h = f*n - 19, -n + 3*h + 15 = 2*n. Let d(q) = 15*q + 2. What is the tens digit of d(n)? 4 Let c = 7 + 1. Suppose -4*t + 2*u = 8, 3*u + 20 = 3*t + c*u. Suppose 2*j - 4*k - 52 = -16, -3*j - 2*k + 78 = t. What is the tens digit of j? 2 Let d = 13 - 9. What is the units digit of 9/(-18) + 86/d? 1 Let k(c) = -7*c + 4*c + 2*c + c**2 + 7. What is the tens digit of k(-4)? 2 Let y(w) = -w - 3*w**2 + 4*w + w**3 - 2*w**2 + 2*w**2 - 1. Let i be y(3). What is the tens digit of (-6)/i*(3 + -35)? 2 Let j = -14 - -423. What is the units digit of j? 9 What is the hundreds digit of (-260 + -12)*14/(-4)? 9 Suppose -12*c = 2420 - 16496. What is the thousands digit of c? 1 Suppose 3*z + 11125 = 3*b + 2677, -5*b - 4*z + 14116 = 0. What is the thousands digit of b? 2 Let p(b) = 10*b**2 + 10*b + 245. What is the hundreds digit of p(19)? 0 What is the hundreds digit of 5 - (74/259 - 20402/14)? 4 Let f(x) = 4*x - 10. Let p be f(7). Let s = p - 15. Suppose -s*b + 5*c = -19, b + 4*c + c + 7 = 0. What is the units digit of b? 3 Let k(z) = 11 + 13 + 3*z - 7*z + 3*z. Let m be k(10). Suppose 0*j - m = -j. What is the units digit of j? 4 Let t = 35 - 35. Suppose t = -5*q - 2*q + 231. What is the tens digit of q? 3 What is the thousands digit of 10731*(1 + 10)/33? 3 Let t = -2 - -5. Suppose 0*x + 8 = t*q + x, 0 = 5*q + 5*x. What is the units digit of q? 4 Let c(t) = 4*t**2 - t - 1. Let l be c(-1). Suppose -99 = -q + l*f, 0 = -f - f - 2. What is the units digit of ((-6)/(-30))/(1/q)? 9 Let d(l) = l**3 - 6*l**2 + 2*l + 5. Let x be d(5). Let y = 10 - 5. Let f = y - x. What is the tens digit of f? 1 Suppose f = 3*g + 2, g - 2*g = -3*f + 6. Let b(q) = 4*q**2 - 2 - 7*q**f + q + q**3 - 1 - 3*q**2. What is the units digit of b(6)? 3 What is the tens digit of ((-427)/(-14))/(4*5/600)? 1 Let m be 0/(-5)*1/(-2). Let o be (m - -12)/(15/20). Suppose o = -3*z + 58. What is the units digit of z? 4 Let a(m) = 5*m - 1. Let x be a(1). Suppose -60 = -x*y + 24. What is the units digit of y? 1 Let n(t) = -5*t + 17. Let y(d) = d. Let w(p) = n(p) + 4*y(p). What is the units digit of w(-18)? 5 What is the tens digit of 3/6 - 119/(-2)? 6 Suppose 500 = 2*r + 2*b, -4*b + 1223 = 5*r - 8*b. What is the tens digit of r? 4 Let y(n) = n**2 - 3 + n**2 - 3*n**2 + 6*n**2 + 2*n - n**3. Let
{ "pile_set_name": "DM Mathematics" }
hat is prob of picking 2 z when two letters picked without replacement from {c: 3, z: 1, i: 1, w: 2}? 0 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, f: 16}. 1/153 Calculate prob of picking 3 p when three letters picked without replacement from cgccapmamppbagm. 1/455 What is prob of picking 2 j when two letters picked without replacement from {j: 4, h: 2, s: 1, a: 7, r: 6}? 3/95 Two letters picked without replacement from xbubvbc. What is prob of picking 2 b? 1/7 What is prob of picking 2 g and 2 e when four letters picked without replacement from {g: 3, e: 4}? 18/35 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from djdijddddilj. 1/22 What is prob of picking 2 r when two letters picked without replacement from rrrirrrirrrirrr? 22/35 What is prob of picking 2 r when two letters picked without replacement from krrk? 1/6 Two letters picked without replacement from zzpgpgeppbepgep. Give prob of picking 1 g and 1 e. 3/35 What is prob of picking 1 h and 3 r when four letters picked without replacement from qzzoooohrooloo? 0 Two letters picked without replacement from {e: 1, a: 1, r: 2, d: 4, l: 5, q: 2}. Give prob of picking 2 l. 2/21 Four letters picked without replacement from jjjjjjjjjjjjjjbjjjjj. Give prob of picking 4 j. 4/5 Two letters picked without replacement from ouuuovhuuououvuuouoo. Give prob of picking 1 u and 1 h. 1/19 Two letters picked without replacement from {x: 5, g: 9}. What is prob of picking 2 x? 10/91 What is prob of picking 2 o, 1 s, and 1 v when four letters picked without replacement from {o: 4, s: 3, v: 4}? 12/55 Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, c: 7}. 4/165 Three letters picked without replacement from nvubjnjujbvvv. Give prob of picking 1 b and 2 j. 3/143 Three letters picked without replacement from fanftonofnnon. Give prob of picking 1 o, 1 t, and 1 a. 3/286 What is prob of picking 1 b and 1 o when two letters picked without replacement from bbbbobobbo? 7/15 What is prob of picking 2 f when two letters picked without replacement from mmfzmfzzzzmzfff? 2/21 Four letters picked without replacement from {l: 2, p: 1, f: 4, m: 1, r: 5, y: 2}. What is prob of picking 2 f, 1 r, and 1 m? 2/91 Four letters picked without replacement from {e: 5, v: 3}. What is prob of picking 4 e? 1/14 Four letters picked without replacement from {w: 14, v: 5}. What is prob of picking 4 v? 5/3876 Two letters picked without replacement from ndfolof. What is prob of picking 1 f and 1 o? 4/21 Two letters picked without replacement from {j: 1, t: 1, i: 1, g: 1, q: 4}. Give prob of picking 1 g and 1 t. 1/28 Three letters picked without replacement from {f: 1, v: 1, l: 3, s: 5, k: 2, a: 3}. Give prob of picking 1 v and 2 l. 3/455 What is prob of picking 1 s, 2 b, and 1 a when four letters picked without replacement from baabaabssseaaaaaaau? 33/1292 Three letters picked without replacement from {q: 1, s: 1, a: 1, o: 2, x: 1, h: 1}. Give prob of picking 1 h, 1 q, and 1 s. 1/35 What is prob of picking 1 d and 2 g when three letters picked without replacement from ggdggggdgg? 7/15 Two letters picked without replacement from {j: 1, m: 1, o: 1, i: 2}. What is prob of picking 1 j and 1 m? 1/10 What is prob of picking 2 c, 1 i, and 1 s when four letters picked without replacement from {c: 8, i: 1, s: 2, r: 1, d: 5}? 2/85 Four letters picked without replacement from {l: 1, x: 2, i: 3, c: 1}. Give prob of picking 1 c, 1 x, and 2 i. 6/35 Four letters picked without replacement from {w: 2, t: 2}. What is prob of picking 3 t and 1 w? 0 Calculate prob of picking 1 v and 3 t when four letters picked without replacement from {v: 2, a: 1, t: 1}. 0 Four letters picked without replacement from gzxgxggzsxxxxgssghgx. Give prob of picking 1 h and 3 x. 7/969 Calculate prob of picking 4 i when four letters picked without replacement from xjnininnnnssijdinss. 1/3876 Three letters picked without replacement from qaanntktna. Give prob of picking 1 q, 1 a, and 1 n. 3/40 Three letters picked without replacement from zzzzzzzzvzpzzzzuupz. What is prob of picking 1 p and 2 u? 2/969 Three letters picked without replacement from jhvtrtfjjhrjj. Give prob of picking 2 h and 1 r. 1/143 Three letters picked without replacement from nqyiqvg. Give prob of picking 1 v, 1 i, and 1 n. 1/35 Three letters picked without replacement from vvyvooo. What is prob of picking 3 o? 1/35 Four letters picked without replacement from {y: 1, k: 1, r: 2, g: 1, b: 2}. Give prob of picking 1 k, 1 y, 1 b, and 1 g. 2/35 Four letters picked without replacement from {e: 4, u: 5, w: 5, s: 1, v: 4}. Give prob of picking 3 w and 1 v. 10/969 Four letters picked without replacement from {h: 10, t: 1, i: 7}. Give prob of picking 2 h, 1 t, and 1 i. 7/68 Two letters picked without replacement from hrhhrhhll. What is prob of picking 1 l and 1 h? 5/18 Two letters picked without replacement from okooossosrcj. What is prob of picking 1 r and 1 o? 5/66 Calculate prob of picking 1 g, 2 a, and 1 e when four letters picked without replacement from {g: 2, i: 7, a: 2, e: 7}. 7/1530 What is prob of picking 3 u and 1 p when four letters picked without replacement from {p: 1, u: 14}? 4/15 What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 7, t: 9}? 21/40 What is prob of picking 1 r, 1 s, and 1 z when three letters picked without replacement from tzzozstotztrsm? 2/91 Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {d: 3, x: 2, j: 6, p: 1, e: 1}. 1/26 Calculate prob of picking 1 z, 2 c, and 1 g when four letters picked without replacement from hgnccppzn. 1/126 What is prob of picking 2 d and 1 i when three letters picked without replacement from {i: 2, d: 3}? 3/5 Calculate prob of picking 4 w when four letters picked without replacement from wwkwwk. 1/15 What is prob of picking 2 p when two letters picked without replacement from {g: 6, p: 7}? 7/26 What is prob of picking 2 k when two letters picked without replacement from nzznzmkkkk? 2/15 Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, l: 1, p: 1}. 1/3 What is prob of picking 2 e and 1 v when three letters picked without replacement from {d: 3, v: 1, e: 4}? 3/28 Two letters picked without replacement from ehr. Give prob of picking 1 e and 1 h. 1/3 What is prob of picking 4 f when four letters picked without replacement from {x: 2, w: 1, f: 4, i: 2}? 1/126 Two letters picked without replacement from jmwojpcmmjmccjjj. What is prob of picking 1 o and 1 j? 1/20 Three letters picked without replacement from kzexezpk. What is prob of picking 1 p and 2 e? 1/56 Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {g: 3, d: 5}. 3/7 Three letters picked without replacement from {w: 3, v: 4, o: 4, b: 2, a: 1}. What is prob of picking 2 v and 1 w? 9/182 What is prob of picking 1 c, 1 o, 1 d, and 1 a when four letters picked without replacement from coaxd? 1/5 Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {u: 3, t: 8, o: 2, i: 6}. 2/323 Four letters picked without replacement from {l: 12, s: 2, d: 3}. Give prob of picking 4 l. 99/476 Two letters picked without replacement from iizay. Give prob of picking 1 z and 1 i. 1/5 What is prob of picking 1 v and 1 y when two letters picked without replacement from yvgvvgvvgvgyv? 7/39 Three letters picked without replacement from ioiowwwfoiwiwwg. Give prob of picking 3 i. 4/455 Three letters picked without replacement from {i: 17, f: 2}. What is prob of picking 2 f and 1 i? 1/57 Four letters picked without replacement from wdddddwddddddddddd. Give prob of picking 3 d and 1 w. 56/153 Calculate prob of picking 1 n, 1 a, 1 p, and 1 k when four letters picked without replacement from aaanmjpaknjaajnj. 9/910 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 2, t: 1, k: 9, f: 2}. 2/91 Three letters picked without replacement from {j: 3, s: 2, o: 5}. Give prob of picking 1 s and 2 j. 1/20 Four letters picked without replacement from {q: 13, s: 1, e: 3}. What is prob of picking 3 e and 1 s? 1/23
{ "pile_set_name": "DM Mathematics" }
ment from bfrbfffzzzz. Give prob of picking 1 b and 1 f. 8/55 What is prob of picking 2 i and 2 q when four letters picked without replacement from iqeeqi? 1/15 Three letters picked without replacement from {v: 6, y: 1, a: 3, w: 3, c: 1}. Give prob of picking 2 v and 1 y. 15/364 Two letters picked without replacement from xqqfqss. Give prob of picking 1 s and 1 q. 2/7 Three letters picked without replacement from seulluullsell. Give prob of picking 2 l and 1 e. 15/143 What is prob of picking 1 j and 2 n when three letters picked without replacement from dataajtjnandandaadda? 1/190 Two letters picked without replacement from {w: 1, s: 1, v: 1, p: 2}. What is prob of picking 1 w and 1 v? 1/10 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from dxlwxxyyxxaaaxwxxw. 1/51 Two letters picked without replacement from xxxxxyvyvy. What is prob of picking 1 v and 1 y? 2/15 Three letters picked without replacement from nnoonooons. What is prob of picking 1 s and 2 o? 1/12 Four letters picked without replacement from nlnnlnzuldzn. Give prob of picking 2 n, 1 l, and 1 z. 4/33 Four letters picked without replacement from wppwwvwvywvwypwwwvvw. Give prob of picking 1 v, 1 y, and 2 p. 2/323 Calculate prob of picking 1 t, 1 g, and 2 d when four letters picked without replacement from {j: 2, t: 1, z: 1, d: 2, n: 1, g: 2}. 1/63 Calculate prob of picking 1 h, 2 k, and 1 a when four letters picked without replacement from flhkklkkfalffff. 2/455 Three letters picked without replacement from {l: 1, k: 2, d: 5, h: 1}. Give prob of picking 2 d and 1 k. 5/21 What is prob of picking 3 y when three letters picked without replacement from yyyyyyyykkykyy? 165/364 What is prob of picking 3 d when three letters picked without replacement from {m: 5, b: 1, l: 1, g: 2, d: 5, j: 1}? 2/91 What is prob of picking 3 s and 1 w when four letters picked without replacement from cswwwswscs? 8/105 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 1, q: 7}. 1/4 What is prob of picking 1 u and 1 n when two letters picked without replacement from hunuu? 3/10 Three letters picked without replacement from {c: 2, z: 2, b: 4}. Give prob of picking 2 b and 1 c. 3/14 Calculate prob of picking 2 k and 1 y when three letters picked without replacement from yykkl. 1/5 Two letters picked without replacement from {p: 4, r: 2, v: 2, k: 1}. Give prob of picking 1 v and 1 k. 1/18 Two letters picked without replacement from sdsssssisdiqdddiosoo. Give prob of picking 1 q and 1 i. 3/190 What is prob of picking 3 s when three letters picked without replacement from syseuuhxyusxsyu? 4/455 What is prob of picking 1 d, 1 p, and 1 k when three letters picked without replacement from dkdqquqdpukkkgpp? 9/140 Calculate prob of picking 1 k and 3 t when four letters picked without replacement from {k: 2, t: 7}. 5/9 What is prob of picking 2 q when two letters picked without replacement from qcuquccuqcqcqqcqu? 21/136 What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, r: 8}? 24/55 Four letters picked without replacement from {x: 6, p: 1, y: 1, s: 1}. Give prob of picking 1 x, 1 s, 1 y, and 1 p. 1/21 Three letters picked without replacement from {z: 5, j: 1, d: 3, a: 2, x: 8, o: 1}. Give prob of picking 1 z, 1 j, and 1 d. 1/76 What is prob of picking 1 h and 3 u when four letters picked without replacement from suusshhushhs? 4/495 Two letters picked without replacement from fuufuuuuuluflffffl. What is prob of picking 1 u and 1 f? 56/153 Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zzzzzzzzzzzzzzzzzeez. 18/95 Two letters picked without replacement from nqnnnnnnnnqnnqqnnn. Give prob of picking 2 q. 2/51 Calculate prob of picking 2 z when two letters picked without replacement from dzdzzz. 2/5 Two letters picked without replacement from rcccgcrcmcmcfcfgr. Give prob of picking 2 m. 1/136 Two letters picked without replacement from {f: 4, w: 3, s: 2}. Give prob of picking 1 f and 1 w. 1/3 What is prob of picking 2 y when two letters picked without replacement from {q: 2, y: 5, t: 4}? 2/11 Calculate prob of picking 2 k when two letters picked without replacement from kssskjks. 3/28 Three letters picked without replacement from {n: 1, a: 2, z: 1, h: 1}. Give prob of picking 2 a and 1 h. 1/10 Three letters picked without replacement from {e: 11, z: 9}. Give prob of picking 1 e and 2 z. 33/95 Four letters picked without replacement from {c: 5, n: 4, a: 2}. Give prob of picking 2 c and 2 n. 2/11 What is prob of picking 1 b and 1 u when two letters picked without replacement from {l: 2, u: 12, g: 2, b: 2}? 8/51 Four letters picked without replacement from iuuuuuuuuiuu. What is prob of picking 2 i and 2 u? 1/11 Calculate prob of picking 1 v and 2 f when three letters picked without replacement from fffffffvvvf. 28/55 Two letters picked without replacement from tttdddttwtttttt. Give prob of picking 1 d and 1 w. 1/35 Two letters picked without replacement from ududuuuu. Give prob of picking 2 d. 1/28 Two letters picked without replacement from {j: 7, b: 1, y: 8, a: 2, w: 2}. What is prob of picking 1 a and 1 b? 1/95 What is prob of picking 1 r and 1 u when two letters picked without replacement from {i: 1, d: 1, u: 1, r: 1, k: 1}? 1/10 What is prob of picking 1 t and 1 s when two letters picked without replacement from tiiiisistdiispsti? 3/34 Four letters picked without replacement from {c: 3, q: 3, m: 8, y: 3}. What is prob of picking 1 m, 2 q, and 1 c? 18/595 Calculate prob of picking 4 e when four letters picked without replacement from xeeeeeeexeeeexeexeee. 364/969 Four letters picked without replacement from ppttgptgp. Give prob of picking 2 p and 2 g. 1/21 Calculate prob of picking 1 t, 1 s, and 1 c when three letters picked without replacement from {b: 1, t: 1, s: 2, r: 2, c: 1, u: 1}. 1/28 Three letters picked without replacement from oxehl. What is prob of picking 1 x, 1 h, and 1 e? 1/10 Three letters picked without replacement from pkphwkhhwh. Give prob of picking 3 h. 1/30 Three letters picked without replacement from fffkxffefffffk. What is prob of picking 1 x and 2 f? 45/364 Two letters picked without replacement from {a: 4, m: 2, z: 2}. What is prob of picking 2 z? 1/28 What is prob of picking 2 b when two letters picked without replacement from eebzdezezzdbdb? 3/91 Calculate prob of picking 2 i and 1 j when three letters picked without replacement from {a: 2, y: 4, d: 1, h: 4, j: 2, i: 7}. 7/190 Two letters picked without replacement from uuouoruuokrfuk. What is prob of picking 1 k and 1 o? 6/91 What is prob of picking 3 k when three letters picked without replacement from kqkvvqkkkvkkvkkqqqk? 40/323 Three letters picked without replacement from mttttmaaamamtm. Give prob of picking 1 a and 2 m. 10/91 Two letters picked without replacement from {c: 8, h: 2, f: 7, m: 1}. Give prob of picking 1 c and 1 h. 16/153 Three letters picked without replacement from {k: 2, l: 1, n: 3, v: 1}. Give prob of picking 2 n and 1 k. 6/35 What is prob of picking 2 v and 2 c when four letters picked without replacement from vzccnvcvnvccnmv? 20/273 Four letters picked without replacement from dduuuu. Give prob of picking 1 d and 3 u. 8/15 Calculate prob of picking 1 t, 1 s, and 1 m when three letters picked without replacement from {r: 4, m: 1, s: 4, t: 9, j: 2}. 3/95 Two letters picked without replacement from {v: 1, l: 1, o: 1, u: 1, w: 1}. Give prob of picking 1 l and 1 w. 1/10 Two letters picked without replacement from rzzktpzzmmpzzzz. Give prob of picking 1 z and 1 t. 8/105 Three letters picked without replacement from {n: 1, z: 2, x: 1, p: 1, q: 2, o: 1}. What is prob of picking 1 p, 1 n, and 1 z? 1/28 What is prob of picking 1 w and 1 l when two letters picked without replacement from {f: 1, w: 2, l: 3, h: 4}? 2/15 Calculate prob of picking 2 g when two letters picked without replacement from gfgfuuugu. 1/12 Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {d: 4, k: 9, e: 1}. 27/182 Two letters picked without replacement from {s: 11, h: 5}. What is prob of picking 1 s and 1 h? 11/24 Two letters picked without replacement from {a: 3,
{ "pile_set_name": "DM Mathematics" }
28184 What is the t'th term of 745, 784, 841, 910, 985, 1060? -t**3 + 15*t**2 + t + 730 What is the i'th term of -55, -200, -373, -520, -587? 9*i**3 - 68*i**2 - 4*i + 8 What is the m'th term of -8201, -16415, -24629, -32843, -41057, -49271? -8214*m + 13 What is the k'th term of -1343, -2691, -4035, -5381, -6735, -8103? -k**3 + 8*k**2 - 1365*k + 15 What is the j'th term of -25650, -25658, -25668, -25680, -25694, -25710, -25728? -j**2 - 5*j - 25644 What is the t'th term of 25812, 51613, 77414, 103215, 129016? 25801*t + 11 What is the b'th term of 8381, 8369, 8349, 8321, 8285, 8241? -4*b**2 + 8385 What is the q'th term of -75, -346, -817, -1488? -100*q**2 + 29*q - 4 What is the w'th term of -181147, -181148, -181151, -181156, -181163? -w**2 + 2*w - 181148 What is the o'th term of -228073, -456143, -684213, -912283? -228070*o - 3 What is the b'th term of -11501, -23006, -34511, -46016? -11505*b + 4 What is the n'th term of 233247, 466491, 699735, 932979? 233244*n + 3 What is the w'th term of 5373, 10768, 16163, 21558? 5395*w - 22 What is the v'th term of 983, 2144, 3327, 4544, 5807, 7128? 2*v**3 - v**2 + 1150*v - 168 What is the p'th term of 92, 119, 174, 263, 392? p**3 + 8*p**2 - 4*p + 87 What is the j'th term of 382, 662, 942, 1222? 280*j + 102 What is the a'th term of 150559, 150482, 150353, 150172, 149939? -26*a**2 + a + 150584 What is the a'th term of 2871, 2778, 2685? -93*a + 2964 What is the n'th term of 106, 393, 684, 979, 1278, 1581? 2*n**2 + 281*n - 177 What is the n'th term of -4323, -8626, -12905, -17148, -21343, -25478? 2*n**3 - 4317*n - 8 What is the n'th term of 265371, 265370, 265369, 265368? -n + 265372 What is the j'th term of -79243, -79237, -79217, -79177, -79111, -79013, -78877, -78697? j**3 + j**2 - 4*j - 79241 What is the g'th term of -43, -96, -159, -238, -339, -468? -g**3 + g**2 - 49*g + 6 What is the n'th term of -11166, -44662, -100490, -178650, -279142, -401966, -547122? -11166*n**2 + 2*n - 2 What is the s'th term of -1687, -1707, -1739, -1789, -1863? -s**3 - 13*s - 1673 What is the y'th term of -190, -29, 406, 1253, 2650, 4735? 23*y**3 - y**2 + 3*y - 215 What is the h'th term of -543, -1083, -1597, -2079, -2523, -2923, -3273? h**3 + 7*h**2 - 568*h + 17 What is the t'th term of 152, 216, 284, 362, 456? t**3 - 4*t**2 + 69*t + 86 What is the u'th term of 25, 811, 1597, 2383, 3169? 786*u - 761 What is the p'th term of -1914, -3824, -5728, -7620, -9494, -11344, -13164, -14948? p**3 - 3*p**2 - 1908*p - 4 What is the q'th term of 1171, 941, 711, 481? -230*q + 1401 What is the c'th term of -12940, -51752, -116438, -206998, -323432, -465740? -12937*c**2 - c - 2 What is the n'th term of -1942, -3873, -5804? -1931*n - 11 What is the h'th term of 8543, 8541, 8539, 8537, 8535? -2*h + 8545 What is the u'th term of -311, -610, -901, -1178, -1435, -1666, -1865, -2026? u**3 - 2*u**2 - 300*u - 10 What is the z'th term of -7483, -7318, -7051, -6688, -6235, -5698, -5083, -4396? -z**3 + 57*z**2 + z - 7540 What is the x'th term of -1539840, -1539839, -1539838, -1539837, -1539836? x - 1539841 What is the w'th term of 3028, 2331, 1634? -697*w + 3725 What is the s'th term of -6484, -6466, -6448, -6424, -6388, -6334? s**3 - 6*s**2 + 29*s - 6508 What is the s'th term of -1613, -3171, -4727, -6281, -7833, -9383, -10931? s**2 - 1561*s - 53 What is the w'th term of -75, -145, -193, -207, -175, -85, 75? 2*w**3 - w**2 - 81*w + 5 What is the v'th term of -13995, -13996, -13997, -13998? -v - 13994 What is the t'th term of 12, 51, 106, 177, 264? 8*t**2 + 15*t - 11 What is the v'th term of 164, 554, 1592, 3602, 6908, 11834? 54*v**3 + 12*v + 98 What is the h'th term of -15693, -31370, -47039, -62694, -78329, -93938, -109515, -125054? h**3 - 2*h**2 - 15678*h - 14 What is the c'th term of -187231, -374461, -561691, -748921, -936151? -187230*c - 1 What is the l'th term of -4376, -8854, -13332? -4478*l + 102 What is the t'th term of 45, 261, 805, 1833, 3501, 5965? 26*t**3 + 8*t**2 + 10*t + 1 What is the i'th term of -531973, -1063939, -1595905, -2127871? -531966*i - 7 What is the g'th term of 582, 897, 1226, 1575, 1950? g**3 + g**2 + 305*g + 275 What is the n'th term of -1183, -2362, -3537, -4708, -5875, -7038? 2*n**2 - 1185*n What is the g'th term of 2929, 3209, 3979, 5485, 7973, 11689, 16879, 23789? 41*g**3 - g**2 - 4*g + 2893 What is the o'th term of -2465, -2530, -2595, -2660, -2725, -2790? -65*o - 2400 What is the k'th term of -112763, -112762, -112761, -112760, -112759? k - 112764 What is the w'th term of 107, 575, 1043, 1511, 1979? 468*w - 361 What is the s'th term of 231, 477, 733, 999, 1275, 1561? 5*s**2 + 231*s - 5 What is the p'th term of 5620, 22531, 50716, 90175, 140908, 202915, 276196? 5637*p**2 - 17 What is the v'th term of -46832, -93704, -140562, -187400, -234212, -280992, -327734, -374432? v**3 + v**2 - 46882*v + 48 What is the m'th term of 6614, 6615, 6618, 6623, 6630, 6639, 6650? m**2 - 2*m + 6615 What is the j'th term of -62385, -124753, -187109, -249453? 6*j**2 - 62386*j - 5 What is the l'th term of 94, 59, 24, -11, -46? -35*l + 129 What is the g'th term of 6883331, 6883332, 6883333, 6883334, 6883335? g + 6883330 What is the f'th term of 191, 750, 1685, 2996, 4683, 6746, 9185? 188*f**2 - 5*f + 8 What is the r'th term of -3170, -12782, -28840, -51344, -80294, -115690, -157532? -3223*r**2 + 57*r - 4 What is the h'th term of -2950, -11800, -26550, -47200? -2950*h**2 What is the j'th term of 147, 366, 655, 1014? 35*j**2 + 114*j - 2 What is the o'th term of -738, -746, -760, -780, -806, -838, -876? -3*o**2 + o - 736 What is the m'th term of -731, -762, -783, -788, -771, -726, -647? m**3 - m**2 - 35*m - 696 What is the v'th term of -10, -22, -46, -88, -154, -250, -382? -v**3 - 5*v - 4 What is the f'th term of 494, 1907, 4238, 7487, 11654? 459*f**2 + 36*f - 1 What is the s'th term of -3806, -15391, -34700, -61733, -96490, -138971, -189176? -3862*s**2 + s + 55 What is the q'th term of -21, -99, -223, -393? -23*q**2 - 9*q + 11 What is the o'th term of 60, 83, 120, 171, 236, 315, 408? 7*o**2 + 2*o + 51 What is the t'th term of -14662, -58634, -131916, -234508, -366410, -527622, -718144? -14655*t**2 - 7*t What is the s'th term of 79, 74, 49, -8, -109, -266, -491? -2*s**3 + 2*s**2 + 3*s + 76 What is the p'th term of 29, -109, -525, -1357, -2743, -4821, -7729? -23*p**3 - p**2 + 26*p + 27 What is the x'th term of -11, -43, -115, -245, -451, -751? -3*x**3 - 2*x**2 - 5*x - 1 What is the o'th term of -14, -86, -158, -230? -72*o + 58 What is the s'th term of -27, -111, -277, -567, -1023? -7*s**3 + s**2 - 38*s + 17 What is the b'th term of 98, 197, 314, 461, 650? 2*b**3 - 3*b**2 + 94*b + 5 What is the y'th term of -156, -557, -1186, -2031, -3080, -4321, -5742, -7331? 2*y**3 - 126*y**2 - 37*y + 5 What is the v'th term of 1368, 2943, 4518, 6093, 7668? 1575*v - 207 What is the d'th term of -97, -476, -1231, -2464, -4277, -6772, -10051, -14216? -17*d**3 - 86*d**2 - 2*d + 8 What is the d'th term of 102, -112, -470, -972, -1618, -2408? -72*d**2 + 2*d + 172 What is the d'th term of 6284, 6261, 6200, 6083, 5892, 5609, 5216, 4695? -3*d**3 - d**2 + d + 6287 What is the h'th term of 1666, 3155, 4644, 6133, 7622, 9111? 1489*h + 177 What is the m'th term of -120, -433, -938, -1635, -2524, -3605, -4878? -96*m**2 - 25*m + 1 What is the t'th term of 12794, 12805, 12832, 12881, 12958, 13069? t**3 + 2*t**2 - 2*t + 12793 What is the a'th term of 12897, 25786, 38671, 51558, 64453, 77362, 90291, 103246? a**3 - 8*a**2 + 12906*a - 2 What is the c'th term of 456, 485, 520, 561, 608, 661? 3*c**2 + 20*c + 433 What is the o'th term of -2435, -4510, -6585, -8660, -10735, -12810? -2075*o - 360 What is the b'th term of 690, 2719, 6100, 10833, 16918? 676*b**2 + b + 13 What is the n'th term of -22782, -45555, -68328, -91101? -22773*n - 9 What is the g'th term of 475, 470, 503, 610, 827? 6*g**3 - 17*g**2 + 4*g + 482 What is the g'th term of -824, -267, 290, 847, 1404, 1961? 557*g - 1381 What is the i'th term of 380569, 761139, 1141709? 380570*i - 1 What is the t'th term of -97309, -194619, -291927, -389233, -486537, -583839, -681139? t**2 - 97313*t + 3 What is the x'th term of -44621, -89236, -133847, -178454, -223057, -267656? 2*x**2 - 44621*x - 2 What is the s'th term of -311, -293
{ "pile_set_name": "DM Mathematics" }
o l*j**2 + h*j**4 + i + y*j + u*j**3 and give h. 13 Express -2*r - r - r + (4*r - 3*r + r)*(3 - 3 + 1) + (2 - 5 + 0)*(-4*r + 9*r + 4*r) in the form t*r + k and give t. -29 Express (-2*h + 3*h - 2*h)*(h**3 + 2*h**3 + h**3) + (-2*h + h - h)*(-2*h**3 + 2*h**3 + 2*h**3) as i + b*h**2 + l*h**3 + j*h**4 + u*h and give j. -8 Rearrange 2*w + 4*w**3 - 2*w + (5*w + 0*w - 2*w)*(-2 + 0*w**2 + 5*w**2 - 3*w**2) to q + z*w**3 + i*w**2 + a*w and give a. -6 Express -61*m + 110*m - 19*m as x + a*m and give a. 30 Rearrange 5 - 2 - 55*n**2 - 2*n**4 - n + 58*n**2 - n**3 to the form p + x*n**2 + b*n + c*n**3 + y*n**4 and give p. 3 Rearrange 14*z + 29*z + 65*z - 13*z to k + t*z and give k. 0 Express -4*r**2 + 21 + 0*r - 8*r**2 + 10*r**2 + r in the form l*r**2 + f + q*r and give l. -2 Rearrange (o - o - 3*o)*(-6 + 3 + 1)*(-2 + 2 - 3)*(o**2 - 4*o**2 + 5*o**2 - 6*o) to the form i + q*o + u*o**2 + s*o**3 and give s. -36 Rearrange 39*m - 7*m - 17*m + 2 - 2*m - 2 + (2 - 2 + 2)*(-3*m - m + 2*m) to v*m + b and give v. 9 Express v - 4*v - 2*v as l*v + y and give y. 0 Rearrange -166*f**2 - f**4 + 0*f + 165*f**2 - 2*f to the form a*f + c*f**4 + z + g*f**3 + n*f**2 and give n. -1 Express 5*z + 14*z + 15 - 18*z in the form g*z + a and give a. 15 Express -5 + z**2 + 0*z**2 - z - 2*z**3 + 3*z**3 as x + i*z**2 + s*z**3 + u*z and give x. -5 Express 3 - 2*n**3 - 20 - 2*n**4 + 7*n**4 - 2*n**4 in the form c*n**3 + i + q*n + l*n**2 + b*n**4 and give i. -17 Rearrange (6 - 3 - 2)*(5*c**2 + 2*c**2 + 0*c**2) to d*c**2 + r*c + h and give d. 7 Rearrange (w + 0*w - 3*w + (1 - 1 + 2)*(2*w + 0*w + 0*w) - 4 - 7*w + 4)*(-2 - 2 + 7)*(-3 + 7*w + 3) to y*w**2 + j*w + g and give g. 0 Rearrange -4*q**4 + 7*q**4 + 2*q**3 - 6*q**2 + 5*q**2 to r*q**4 + n*q**3 + a + y*q**2 + w*q and give w. 0 Express 108 - 108 + 176*r as z*r + n and give z. 176 Express (-5 + 8 + 19)*(-2*a**3 + 0*a + 0*a) as z*a + d*a**2 + f*a**3 + s and give f. -44 Express -2 - 3*l**2 + 2 + 0*l**2 as o + i*l**2 + c*l and give i. -3 Rearrange (-2*y + 1 - 1)*(-3*y**2 + 3*y**2 + y**3) - y**4 - 5*y**4 - 2*y**4 to n*y**3 + f*y**2 + o*y + w + s*y**4 and give s. -10 Express ((4*i - i - i)*(0 + 0 + 2) + 2*i - 4 + 4 - 2 + 2 - i - 5*i - i + 4*i)*(14 + 20*i - 14) in the form w*i + k*i**2 + p and give k. 60 Rearrange -10 - 13 + 2*t**2 - 21*t + 23 to the form y*t**2 + j + o*t and give y. 2 Rearrange b**2 - b**2 + 21 + 2*b**2 - 4*b**2 to k + w*b**2 + h*b and give w. -2 Express (1 + 3 - 2)*(1 + 3 - 5)*(-3*l**3 + 19*l**3 + 19*l**3) in the form x + y*l + m*l**2 + t*l**3 and give t. -70 Express 12*g**2 - 8*g**2 + 5 - 3*g**3 - 5 - 4*g in the form r*g**2 + x + b*g**3 + w*g and give x. 0 Rearrange (1 - 4 + 2)*(0*x + x + 2*x) - 3*x + 0*x + 4*x - 2*x - 2 - 4*x + 4 to v*x + z and give z. 2 Express 8 - 9 - 2*c - 1 - c**2 + 0*c**4 - 2*c**4 as o + d*c**3 + z*c + b*c**4 + w*c**2 and give w. -1 Express 6 - 6*f - 6 - 18*f in the form p*f + s and give s. 0 Express (1 - 1 - 1)*(-39 + 39 + 11*m**2 + m + (2 + 1 - 1)*(0 - m**2 + 0)) as c*m + g*m**2 + n and give g. -9 Rearrange 5*t**3 - t**4 - 2*t**2 + 5 - 6 + 0*t**4 - 1 to the form u*t**4 + c + v*t + j*t**3 + h*t**2 and give j. 5 Rearrange -1 + 8*u - 3*u**3 + 0*u + 5*u**3 - 3*u**4 - 6*u to the form o*u + g*u**4 + m*u**3 + j*u**2 + w and give j. 0 Express (5 - 4 - 4)*(4*a - 4*a + 3*a**4) + (2*a**2 - a**2 + 4*a**2)*(-6*a**2 + 3*a**2 + 4*a**2) in the form q + n*a + w*a**3 + i*a**2 + z*a**4 and give z. -4 Rearrange -3*f + 13*f + 6*f to the form c + g*f and give g. 16 Express (-f**2 - 2*f**2 + 2*f**2)*(-14*f**2 + 41*f**2 + 0*f**2) as g*f**3 + r + c*f**2 + m*f + b*f**4 and give b. -27 Rearrange (2 - 7 - 6)*(13 - 13 - 6*d)*(4 + d - 4 + 1) to r*d**2 + b*d + f and give r. 66 Rearrange -5*y**2 + 3*y**3 + 5*y**2 - 4 + 0*y**2 to the form f*y + o*y**3 + h*y**2 + p and give p. -4 Express (-4*d - 2 + d + d)*(4*d**3 - 4*d**3 + 3*d**3) + (-d**2 + 3*d**2 + d**2)*(-3*d**2 - 3*d**2 + 4*d**2) as s + m*d**3 + q*d**2 + b*d**4 + p*d and give m. -6 Express (3*r + 0*r - r)*(2 + 1 + 1) + 3*r - 3*r - 3*r + 0*r - 3*r + 3 - 5 in the form m*r + n and give n. -2 Rearrange (2 - 1 + 1)*(b + 4*b - 3*b) - 2 - 9*b + 7*b + b to the form u*b + r and give r. -2 Rearrange b**2 - 8*b**3 + 2*b**3 + 14*b**3 + b**2 to the form c + h*b**2 + a*b**3 + r*b and give h. 2 Express 4 - 12*i - 4 in the form s + p*i and give p. -12 Rearrange 3*a**4 + 5 - 5 + (4*a + a - 3*a)*(-a**3 - a**3 - 3*a**3) + 2*a**4 + 3 - 3 to m*a**4 + j*a**3 + h*a + c*a**2 + t and give m. -5 Rearrange (-1 - 4 + 6)*(-3 - 1 + 3)*(0 + 0 + a) to h*a + b and give h. -1 Express (4*d**2 - 5*d**2 + 0*d**2)*(-d + d + 3*d)*(2*d - 5 + 5) in the form j*d**3 + q*d**2 + t + o*d**4 + m*d and give o. -6 Rearrange -12 + 12 - 13*i to h + x*i and give x. -13 Rearrange (4*h**2 + 2*h**2 - 4*h**2)*(2*h - h + 0*h) + 21*h + 3*h**3 + 3 - 12*h - 10*h to the form n*h**2 + j*h**3 + t*h + k and give j. 5 Express -4*i + 2*i - 7*i + (-2 + 2 - 2*i)*(1 + 1 + 0) + 3*i - 4*i + 0*i in the form r + n*i and give n. -14 Express (30 - 30 - 9*o + (-4*o + 6*o + 0*o)*(3 - 5 + 1))*(-6*o + 4*o + 3*o - 2) in the form r*o + m*o**2 + n and give r. 22 Rearrange 0*t + 3*t - 4*t + 0*t + 2*t + 3*t + (-4*t + 4*t + 2*t)*(1 - 1 + 3) to j*t + p and give j. 10 Rearrange (-1 + 5 - 2)*(3*h**2 - 3*h**2 - 9*h**4) - 4*h**4 + 2*h**4 + 6*h**4 to x*h**4 + j + c*h**3 + m*h**2 + q*h and give x. -14 Rearrange (-n**4 + 0*n**3 - 2*n**3 + 3*n**4)*(10 + 27 + 0) to the form z + k*n**2 + i*n + v*n**3 + t*n**4 and give v. -74 Rearrange 11*i**3 - 3*i**2 - 6*i**3 - 2*i**3 + 3*i to k*i + d*i**3 + w*i**2 + n and give k. 3 Express 2*l**2 - 1 - 135*l + 135*l as x*l + o*l**2 + s and give s. -1 Rearrange (-p + 0 + 0)*(-3*p + p**2 - p + 2*p + 3) to w*p**3 + k*p + n + d*p**2 and give k. -3 Express -4*i**2 + 5*i**2 - 2*i**2 - 3 as c*i + o + b*i**2 and give b. -1 Express 26*z + 8*z - 14*z as c + j*z and give j. 20 Express (-1 + 1 - 1)*(x + 0*x - 3*x) + 2*x - 2*x + x - 2*x + 4*x + 0*x + 48 - 48 + 9*x + 5*x - 6*x - x as t + p*x and give p. 12 Express c**4 + 11 - 28 + 4 - 2*c**2 + 11 as x*c**4 + w*c + v*c**2 + f*c**3 + j and give j. -2 Rearrange (j**2 + j - j)*(4*j - 3*j + j) + (4 - 4 + 2*j)*(5*j**2 + 13*j**2 + j**2) to the form n*j**2 + d + t*j**3 + x*j and give t. 40 Express r + 230 - 8*r**2 - 230 as s*r**2 + x*r + a and give s. -8 Rearrange (-1 - 1 + 3)*(0 - 2*h + 0 + (-1 + h + 1)*(-3 + 5 - 1) - 2*h + 4*h + 6*h) - 2*h + 3*h - 3*h to q*h + z and give q. 5 Rearrange -1109*k - 2 + 2*k**2 - 3*k**2 + 1113*k - 2*k**4 to x*k + n*k**4 + q*k**3 + b + g*k**2 and give x. 4 Express -4*w**3 + 1 + 1 - w**3 + 6*w**3 - 5*w in the form c*w**2 + t*w + s*w**3 + q and give t. -5 Rearrange -v**2 + 5 - 2 + 0 - v + v**4 - 5 to the form y*v**3 + d*v + p*v**2 + o + t*v**4 and give d. -1 Express 5*p + 7*p - 6*p in the form z*p + m and give z. 6 Express -3*g**3 + 3 + 2*g - 1 + g**3 - 6 as d*g**3 + w*g + a*g**2 + p and give d. -2 Rearrange (4*f**3 - 2*f**3 + 0*f**3)*(-12*f + 4*f - 17*f) to p*f**4 + w + c*f**2 + h*f**3 + b*f and give h. 0 Rearrange 41*z**3 - 36*z**3 - 19*z**3 + (-2*z + 2*z + 2*z**2)*(-z - 3 + 3) to t*z**3 + j*z + i*z**2 + g and give t. -16 Express -39*j + 64*j + 48*j as c + x*j and give x. 73 Express 50 + l**2 - 50 + 3*l as g*l**2 + t*l + w and give t. 3 Express (-1 + 1 + 7)*(-2*x + 5*x + x) as n + w*x and give n. 0 Rearrange (-25 + 25 + 13*l**2)*(2*l + 0 + 0)*(-2 - 1 + 4) to t*l**3 + y + g*l + x*l**2 and give t. 26 Express 3*a + a + 5*a**2 - 5*a as v*a + w*a**2 + s and give w. 5 Rearrange (-7 - 3 - 8)*(-t + 0*t + 0*t)*(-2 - 2 + 2) to b*t + w and give b. -36 Express 9*i**4 - 7*i**4 + 4 + 0 - i as a*i + b*i**3 + y*i**4 + r + h*i**2 and give y. 2 Express -3*u - 2*u + 3*u + (2 + 0 + 0)*(2*u - 3*u + 2*u) - 2 + 2*u + 2 + 4 - 5*u - u + 3*u as f*u + i and give f. -1 Rearrange 25*o + 2 + 0 - 22*o + 2 to the form l + u*o and give l. 4 Rearrange -3*u - 11*u**2 - 17*u**2 - 15*u**2 + 44*u**2 - 4 + 3*u**3 to the form h*u**3 + v + f*u**2 + x*u and give h. 3 Express -80*y**3 + 78*y**3 + 33*y + 1 + 5*y as s*y**3 + n*y**2 + q + b*y and give s. -2 Express 13 - 17*f - 13 in the form i + u*f and give u. -17 Express t**3 + 4*t - t**3 + 5*t**3 - 6*t**3 in the form w*t + x*t**3 + v + j*t**2 and give w. 4 Express (3*g - 3*g + 2*g)*(-7*g - g + 3*g)*(0*g + 3*g - 2*g) as m*g**3 + h*g**2 + b + p*g and give m. -10 Express 3
{ "pile_set_name": "DM Mathematics" }
4 + 9 + -1 -4 (-2 - 5 - -3) + 5 1 -14 + -7 + 10 + 8 -3 What is -10 - (9 + (6 - 23))? -2 What is the value of 3 + (9 - 12 - -2)? 2 What is the value of (1 - 2) + (4 + -11 - -9)? 1 What is the value of (3 - (7 - 1)) + 6? 3 Calculate 4 + 0 + -4 + (-7 - -2). -5 What is the value of 5 - ((-33 - -36) + -1 + 0)? 3 Evaluate -1 - 10 - (40 - 47). -4 Calculate (1 - 2) + -3 + 0. -4 What is the value of 12 - (0 + 1) - 12? -1 -2 - (-2 - (-4 + -2)) -6 What is the value of 3 + -3 - -2 - -1? 3 What is 2 - -15 - 4 - 6? 7 What is the value of (-1 - (-1 + 2)) + 6? 4 What is 2 + -2 + 0 + 1 + 2? 3 What is -11 + (18 - -9) - 9? 7 What is -10 + 5 + -2 - (-4 - 9)? 6 (-80 - -77) + -4 + 0 -7 What is the value of 5 - (2 + 8 + -5)? 0 Calculate 3 - -2 - (-1 - -5) - -4. 5 Calculate (24 - 27 - (1 - 9)) + 2. 7 Calculate 0 - -4 - -14 - 9. 9 Calculate -5 + (-2 + 7 - 2). -2 Calculate (-1 - 1) + 3 + -3 + 4. 2 What is 2 + -7 + 8 + -4? -1 What is the value of -17 + 20 - (0 - -1 - 1)? 3 3 - (2 + 3 + 0) -2 Calculate (0 + -1 - 0) + 1 - -2. 2 0 + 3 + 0 + -2 1 Evaluate -12 - ((0 - 5) + 0). -7 -5 - -4 - -8 - 2 5 What is (-11 + 5 - -4) + -1? -3 Evaluate -3 - (-6 + 3 + -5). 5 What is the value of -9 + 8 + 2 + -49 + 43? -5 Calculate 10 - -2 - (9 - 4) - 7. 0 What is (2 - 0) + -5 + 5 + -7? -5 Calculate 5 - (0 + -6 - -8). 3 What is the value of 1 + -8 - (8 - (-9 - -21))? -3 -5 + 6 + -5 + 6 2 What is the value of (2 - -3) + (-29 - -23)? -1 What is the value of -7 + 1 + (19 - 2) + -4? 7 Calculate 3 + -5 - 1 - (-1 - 1). -1 Evaluate 0 + (1 - 1) - 1 - 3. -4 Evaluate 3 + -1 - (2 - 2). 2 What is 22 + (-13 - -4) + -4? 9 Calculate 7 - (-4 + 15) - (0 + -2). -2 Evaluate (0 - (-3 + 1 - 4)) + -3. 3 What is -8 + (0 - -9) + (42 - 50)? -7 (0 + (-1 - -2) - 1) + 1 1 Evaluate -2 - (27 + -30 + -2 + 0). 3 -1 + -9 + 1 + 8 -1 What is the value of 11 + (1 - 9 - -3)? 6 Calculate (3 - 2) + (2 - (-1 + -1)). 5 What is the value of -9 + (-2 - -7) + 8? 4 What is (4 - (-4 + 2 - -1)) + -5? 0 What is the value of 5 + -6 + 1 - 5? -5 Calculate -4 + 3 + (-9 - -5). -5 What is 4 - ((0 - 2 - 2) + 8)? 0 What is the value of -1 + 3 - (4 + 2 + 1)? -5 Calculate -2 + -6 + 5 + 1 + -2. -4 Calculate 6 + 1 + 8 + -6 + -10. -1 Evaluate -3 + -4 + 6 + 2. 1 Calculate 1 - (10 + -11 + (0 - 1)). 3 What is the value of -7 + (-4 + 16 - 6)? -1 What is the value of -3 - (12 + -19 + 7 + 6)? -9 -36 + 42 - (2 + -5 - -3) 6 What is the value of 6 - 6 - (2 + -4)? 2 Calculate 10 + -8 + -1 + 3 + 3. 7 What is the value of -3 - (4 - ((-3 - 3) + 10))? -3 5 + -1 - (6 + 0 - -3) -5 What is the value of 2 - (0 + -3 - -5 - 2)? 2 Evaluate (6 - (4 + -6)) + -5. 3 What is the value of -1 - -6 - (5 + 2 + 0)? -2 Calculate -3 + 2 + (-8 + 1 - -4). -4 What is the value of -12 + 2 - (14 + -18) - -12? 6 What is the value of (0 - 23) + 8 + 7? -8 Evaluate -4 + 3 + -4 + 0. -5 What is the value of 4 + (3 + 1 - 2) - 7? -1 Calculate -1 - -5 - (0 + 15 - 17). 6 -4 + (7 - 3) + (-5 - -2) -3 Evaluate (61 - 57) + (-2 - 0). 2 What is 4 - (-5 - (-6 - 3))? 0 2 + ((2 - 1) + -2 - 1) 0 (4 - (6 - 3 - -1)) + -2 -2 Calculate (-3 - -1) + 5 + -3 + -4. -4 What is -3 - (-4 - -4) - -1? -2 Calculate 5 + -11 + 9 - (3 + -1). 1 Calculate 0 - (-8 - (-10 + 1)). -1 Calculate -5 - ((-54 - -58) + (-2 - 0)). -7 What is 4 + (-4 - -3 - 5) + -3? -5 What is the value of -5 - (3 - 5) - (0 - -3)? -6 -99 + 96 + 0 + 0 -3 Calculate -9 + (-9 - (-14 - 2)). -2 What is the value of -2 + 11 + -7 + -3? -1 -1 + 1 + 7 + 4 + -8 3 Evaluate 7 + -3 - (-2 - (0 - 2)). 4 Evaluate (6 - 14) + 1 + 3. -4 What is (-10 - -2 - -4) + 6 + -3? -1 What is -5 - (2 + -3 + -6)? 2 Calculate -14 + 0 - (209 - 212). -11 Calculate (-3 - 8) + 7 - (-1 + 2). -5 (77 - 76) + -1 + 0 0 (-13 - -6) + 3 + -2 -6 Evaluate (-8 - -7 - 2 - 1) + 6. 2 -61 + 51 - (-3 - 1) -6 Calculate -4 + (-7 + 8 + 6 - 14). -11 Calculate -7 + (-3 + 2 - -6). -2 What is the value of -6 + (14 - 6) + -5? -3 What is the value of 1 + 0 + 1 + -3 + 2? 1 What is 2 + 2 - (-17 - -22)? -1 -5 + (-6 - -3) - -5 -3 Evaluate -10 - (-4 - (-2 - -2)). -6 Evaluate 1 + -27 + 23 + 1 + 2. 0 -9 + 17 + -15 + 5 -2 Evaluate -6 + -2 - (53 + -55). -6 What is -1 - -6 - (4 + -3)? 4 Evaluate 1 + (-18 + 3 - -9). -5 What is the value of 0 - (5 + -7 + 4 - 1)? -1 What is the value of -14 + 1 + 5 - -3? -5 What is the value of 3 + (-10 + 1 + 2 - 1)? -5 Evaluate (6 - 13 - 3) + 8 + 12. 10 What is 4 - ((1 - 2) + 2)? 3 What is 2 - 3 - (10 + -12) - 0? 1 Calculate (2 + (0 - 3) - 0) + -3. -4 What is the value of 8 - 2 - (-5 - (-9 - -4))? 6 What is the value of 11 - ((13 - 9) + 7)? 0 What is the value of 13 - 21 - 2 - -6? -4 What is the value of (-3 - -4 - (5 - 0)) + 3? -1 Calculate (-14 - 5) + (3 - 2) - -8. -10 Evaluate 4 + (1 + -15 - -4). -6 1 + (10 - 3) + -4 4 What is 1 + 0 + 4 - (-35 - -44)? -4 Evaluate 3 + (-2 - (-4 - -7)). -2 What is the value of 5 - (8 - 3 - (-7 + 10))? 3 What is the value of (4 - 5) + -6 + 3? -4 What is 1 - (1 + 0 + 1)? -1 Evaluate -4 - ((5 - 3) + -2). -4 -5 - (9 + -2 + -4) - -3 -5 What is the value of -2 + -5 + 8 - -4? 5 3 + (-6 - -3) - 1 -1 What is 2 + (-2 - 6) + 2? -4 Calculate -3 + (2 - (3 - -1 - 3)). -2 What is the value of -1 + -14 + 5 + 3 + 2? -5 What is -2 - (-1 - (5 + 1 + -1))? 4 -8 + 0 + 8 - 2 -2 -29 - (-52 + 26) - (-1 - -7) -9 What is the value of 3 + -1 + (-2 - (-2 + 1))? 1 Evaluate 16 + -14 + 9 + -5. 6 What is the value of -5 - ((-4 - 2) + 5 + -7)? 3 Evaluate -2 + (3 - 3) - (0 + -5). 3 What is (8 - 4) + 1 + 0 - -2? 7 What is -3 - (3 - 3) - (-1 - -2)? -4 5 + (3 - 6 - (1 - 0)) 1 What is the value of -1 + (2 - -1 - 0 - 2)? 0 What is (4 - (5 - -13)) + 18? 4 -7 + (3 - 4 - -8) 0 What is 9 + (-70 - -63 - (1 - 2))? 3 Evaluate 9 - (15 - (-6 + 13)). 1 Evaluate 2 - (0 - -4) - 0. -2 Evaluate 7 - ((-1 - -8) + -4 - -4). 0 Evaluate (-7 - 4) + 1 + 2 - -3. -5 -1 - ((-8 - 2) + 6) 3 Evaluate 9 - (4 - 6 - -7). 4 Evaluate 3 + 4 + -4 + 0 + 0. 3 What is -5 + 2 + 0 + -1? -4 What is 10 + -9 + 9 - 7? 3 Evaluate 3 - (-4 + (-3 - -6) + 0). 4 Calculate 1 + -5 - (-4 + -5). 5 Calculate (4 - 2) + -6 - -2. -2 What is (9 + -17 - -7) + 3? 2 -2 - -1 - 3 - -5 1 What is 2 + -1 + (2 - 2)? 1 Calculate -21 - -17 - (0 + -1 + -7). 4 What is the value of -13 + 23 + -12 - (3 - 11)? 6 Calculate 17 - 21 - (0 + -5 - -2). -1 Evaluate -91 + 80 - (-7 - 0). -4 Calculate -2 + -1 - (-2 + -1 + 2). -2 4 - (6 - -2 - (0 - -2)) -2 What is the value of (-3 - -8 - 7) + (-2 - -2)? -2 What is the value of (6 - 3 - 6) + (3 - 3)? -3 Evaluate -5 + 4 - (-2 + 7 - 0). -6 What is -4 + 5 + -1 - -1? 1 What is -3 + 9 + (-2 - -3) + -4? 3 Calculate 3 + -4 - (-1 + 3 + -1). -2 Calculate -2 - -8 - (-11 - -15). 2 What is the value of -3 - (-6 - -13 - 13)? 3 1 + -4 + 2 + -3 -4 Calculate 0 - (2 + -4 - (-1 - 2)). -1 What is -7 + 5 + 2 + 3? 3 Evaluate 3 + 0 + -1 + -4 + -1. -3 What is the value of -6 + -11 - -12 - (1 + 2)? -8 What is the value of -7 - -6 - (-9 + 8)? 0 What is the value of (-4 - (-2 - 8)) + 3? 9 -2 + 1 - -4 - -7 10 Evaluate 12 + -5 + (-1 - 5) + 1. 2 Evaluate 0 - (-4 + 5 + 3) - -3. -1 Evaluate 29 + -16 + -16 + (-2 - -5). 0 What is -2 + (-5 - -9) - -2? 4 What is the value of 2 + -10 - -6 - -1? -1 What is the value of 3 - (-4 - (5 - (8 + 5)))? -1 Calculate -2 - -2 - (-2 - 6). 8 What is 6 + 1 + -3 + 20 + -18? 6 What is the value of 1 + 4 + 5 + 6 + -13? 3 11 + 9 + -6 + -5 9 Evaluate (-20 - -15) + 4 + -1. -2 What is 7 + -13 + 13 + -8? -1 (-4 + 11 - 13) + 6 0 Calculate (-8 - (-1 - 3)) + 0. -4 What is (-15 - -4) + (-7 - (-16 - -7))? -9 What is the value of (-6 - -11) + 1 - 7? -1 Evaluate 8 - ((-10 + 4 - -1) + 9). 4 Evaluate (2 - -2) + -4 + 5. 5 What is the value of (3 - -1) + (9 - (-7 - -15))? 5 5 - (7 + -3 + -3) 4 Calculate 9 - 9 - (2 + 3). -5 Evaluate -1 + -1 + 5 - (0 - -7). -4 -48 + 52 - (-1 - -13) -8 Evaluate -4 - 7 - -6 - -8. 3 What is 3 + (-1 - 0) - (9 + -5)? -2 3 + 2 + (1 + 3 - 4) 5 2 + -7 + -9 - -8 -6 Calculate 21 + -21 - (-7 - -1). 6 What is -4 + -6 + 17 + -6? 1 What is (-3 - 1) + (7 - 2)? 1 What is 8 + -14 + 12 + -3? 3 What is the value of 2 - (-10 + 8 + 4)? 0 Calculate (-2 - -3) + (-6 - -1). -4 Calculate (5 - -4) + (6 - 3) + -6. 6 What is the value of (-1 - 1 - (-9 + 5)) + -1? 1 Calculate 4 + -8 + 4 - 5. -5 -4 - (16 + -14 - (0 - 2)) -8 Evaluate 6 + -1 - (-13 + 17). 1 Calculate 0 + 6 + -1 + 1 - 6. 0 -62 + 76 - (2 - -9) 3 What is -1 - (2 - 16) - 5? 8 (7 - (-5 +
{ "pile_set_name": "DM Mathematics" }
c)/c*c**(-4/7) assuming c is positive. c**(79/21) Simplify (f**(-6))**(-3/23) assuming f is positive. f**(18/23) Simplify f**(-5)*f/f**(6/13) assuming f is positive. f**(-58/13) Simplify (v**11/(v*(v**(-4/3)*v)/v))**(1/6) assuming v is positive. v**(17/9) Simplify (r**(-21)/r**(9/8))**(-1/15) assuming r is positive. r**(59/40) Simplify ((((y/y**(-2/11))/y)/y)/y)/(y*y*y**(-1/2)/y)*((y**1*y*y)/y)**(3/16) assuming y is positive. y**(-171/88) Simplify ((z**(-10)*z)**15)**18 assuming z is positive. z**(-2430) Simplify (z**(-2/49)*z)/((z**(1/55)*z*z*z)/z*z) assuming z is positive. z**(-5549/2695) Simplify l*l**(1/3)*l**(-3)*l/(l**0*l)*l**5/l assuming l is positive. l**(7/3) Simplify (t/(t*t/((t**(-1/5)/t)/t)))**(-7/2) assuming t is positive. t**(56/5) Simplify ((a/((a**1*a)/a))/a*a*a)/(a*a**(7/6)*a) assuming a is positive. a**(-13/6) Simplify (h*(h*(h**(-9/7)*h)/h)/h*h)/h**(-8) assuming h is positive. h**(61/7) Simplify w**3*w**(-5/2)*(w**(-4)*w)/(w/(w*w**(-3)/w)*w*w) assuming w is positive. w**(-17/2) Simplify ((s/(s*s*((s/(s/(((s*s**(-4)*s)/s*s*s)/s)))/s)/s))/(s*s**(3/5)*s))**(2/15) assuming s is positive. s**(4/75) Simplify k**(-8)*k/k**(-1/5) assuming k is positive. k**(-34/5) Simplify (d*(d**14/d)/d*d)/d*d*d**(-1/52) assuming d is positive. d**(727/52) Simplify i/(i*i*i**(-13))*i*i*i**6 assuming i is positive. i**20 Simplify ((o**5*o)/(o*o/(o**(-3)*o)))/(o/o**(3/8)*o*o**(-1)/o*o) assuming o is positive. o**(11/8) Simplify b**0/b**11 assuming b is positive. b**(-11) Simplify (m/((m/m**8)/m))**(-1/16) assuming m is positive. m**(-9/16) Simplify (x**1*x*x*x/(x*x**(2/7)/x))**(-2/77) assuming x is positive. x**(-52/539) Simplify (((c/c**(-3/4))/c)/c*c)/(c/(c**(-10)*c)) assuming c is positive. c**(-37/4) Simplify r**(2/13)*r**(-2) assuming r is positive. r**(-24/13) Simplify ((m**(-3))**39)**14 assuming m is positive. m**(-1638) Simplify t**(-4/9)/(t/(t/(t*t**9*t))) assuming t is positive. t**(-103/9) Simplify (n**(20/9)*n*n)/n*n**(-6) assuming n is positive. n**(-25/9) Simplify g**15/g**(2/49) assuming g is positive. g**(733/49) Simplify (j**(-5/2)/j)**(-3/19) assuming j is positive. j**(21/38) Simplify x**(-2/23)*x**(-1/9) assuming x is positive. x**(-41/207) Simplify (h**7*h)**(-48) assuming h is positive. h**(-384) Simplify c**(-1/12)*c**1 assuming c is positive. c**(11/12) Simplify (l**(-2/5)*l)**(-3/5)/(l**(-2/5))**(-5/6) assuming l is positive. l**(-52/75) Simplify (i*i/(i/(i**4*i))*i**(-9))**4 assuming i is positive. i**(-12) Simplify (q*q**(-6)*q*(q/((q**(-2/9)*q)/q))/q*q)**(-40) assuming q is positive. q**(1000/9) Simplify (t/(t/(t**27/t)*t))/(t*t**(-18/11)) assuming t is positive. t**(282/11) Simplify ((a/(a/((a/((a*(a/a**(1/2))/a)/a*a))/a*a*a)))/(a*a**3))/((a**4*a)/(a**7*a)) assuming a is positive. sqrt(a) Simplify (h/h**(1/5))**(1/4) assuming h is positive. h**(1/5) Simplify (x**(-1/2))**(-26)/(x**(3/5)*x**(-4/5)) assuming x is positive. x**(66/5) Simplify (t*t**(-2/7))**27/(t**(-2/3))**15 assuming t is positive. t**(205/7) Simplify ((n/(n/n**(5/7)))/(n**(4/7)/n))**(-13) assuming n is positive. n**(-104/7) Simplify (x**(5/9))**39 assuming x is positive. x**(65/3) Simplify (((h/(h**10*h))/h)/h**(-2/5))/(h/(h/(h*h**(3/7))*h)*h**(2/19)) assuming h is positive. h**(-7404/665) Simplify (o**(1/4))**18*((o*o/((o/o**0)/o)*o)/o)/(o/(o/(o*o**(1/6)))) assuming o is positive. o**(16/3) Simplify (y/(y**(2/5)/y))**44/(y/y**(-2/5))**(5/11) assuming y is positive. y**(3837/55) Simplify ((k*k**(2/9)/k)/(k/(k/k**(-3))))/(k**(2/7))**(4/5) assuming k is positive. k**(943/315) Simplify (j/j**(-1))**(-49)*(j*j**(1/3))**(-14/15) assuming j is positive. j**(-4466/45) Simplify i**(1/2)*i/((i/((i/((i**(2/11)*i)/i))/i))/i*i)*(i/i**(-1/4))**(-8/9) assuming i is positive. i**(-157/198) Simplify (u/(u*u/((u**(-27)*u*u)/u)*u*u*u)*u)/u*u**(7/4)/u assuming u is positive. u**(-117/4) Simplify n**(-25)*n/(n**20*n*n) assuming n is positive. n**(-46) Simplify x/(x**(-12)/x*x)*x/(x*x**6) assuming x is positive. x**7 Simplify ((g/(g**0/g)*g*g)/g*g/(g**(-2/3)*g)*g)/(g**(-2/5)*g**6) assuming g is positive. g**(-14/15) Simplify (z**8/z)/z**(-6/5)*z**(-2/11)*z/(z/z**(-1/7)) assuming z is positive. z**(3032/385) Simplify ((g*g/g**(-2)*g)/(g*g**(-11/5)*g))**(-2/17) assuming g is positive. g**(-52/85) Simplify (s**(-2)/s)**(1/50) assuming s is positive. s**(-3/50) Simplify f**33*f/((f**(-2/9)/f)/f) assuming f is positive. f**(326/9) Simplify (h**0)**(-16)/(h**(-2/21)*h*h**(2/5)) assuming h is positive. h**(-137/105) Simplify (r**(-6)*r**(-4/11)*r)/(r**(-1))**(21/8) assuming r is positive. r**(-241/88) Simplify ((u/(u**5*u*u*u*u))/u**9)/(u**(-7)*u**8) assuming u is positive. u**(-18) Simplify ((c*c*c**0*c*c)/c*c/(c*c*c/(c/c**(-2)))*c)/(((c/(c/c**0))/c)/c*c/((c**6/c)/c)) assuming c is positive. c**10 Simplify (g**(-2/11)/g*g)/(g**(-2)/g)*g**8*g*(g/(g/(g*g**(-4/7)*g*g)))/g assuming g is positive. g**(1020/77) Simplify o/(o/(o/o**2))*o*o*o/(o/(o/(o*o**(-2/37)))) assuming o is positive. o**(39/37) Simplify c*c*(c**4/c*c*c)/c*c**(-1/3)*(c*c**(1/3))**(-2) assuming c is positive. c**3 Simplify ((y/((y*y**(-1))/y))/(y/y**(2/9)))**(-49) assuming y is positive. y**(-539/9) Simplify (q/((q*q**43)/q)*q)/((q**(-38)/q)/q) assuming q is positive. 1/q Simplify (i*i**(-1/6))/(i/(i*i**(2/5)*i*i)) assuming i is positive. i**(97/30) Simplify ((u**0*u)**(-49))**(-1/33) assuming u is positive. u**(49/33) Simplify g*g/g**(4/3)*g**(2/15)*((g/(g/g**4))/g)/((g*g**(2/15))/g) assuming g is positive. g**(11/3) Simplify (i**(-10)*(i/(i/i**(-10))*i*i)/i)/(i*i/(i/(i**2*i)))**37 assuming i is positive. i**(-167) Simplify (f*f*f**(-10)/f*f*f/(f/f**(1/16)))**(-2/113) assuming f is positive. f**(127/904) Simplify (b**(3/4)/(b*b*b/(b/b**(-2/3))))/((b/(b*b*b**4*b))/(b**6/b*b)) assuming b is positive. b**(137/12) Simplify (h/(h**(-2/3)*h*h))**(-6/25)/(h**(-1)*h/h**(-2/17)) assuming h is positive. h**(-16/425) Simplify w**21/((w*w**(6/5))/w*w*w) assuming w is positive. w**(89/5) Simplify r**1/((r*r**(3/2))/r)*(r*r/r**(-1/2))**21 assuming r is positive. r**52 Simplify (s**(-1/4)/((s**(-1/2)*s)/s))**(6/25) assuming s is positive. s**(3/50) Simplify (d**2/d)/(d*d**(-1/10)) assuming d is positive. d**(1/10) Simplify d**(3/2)*d**(4/9) assuming d is positive. d**(35/18) Simplify ((i**(-3/10)*i)**(3/29))**(4/3) assuming i is positive. i**(14/145) Simplify (d/(d**(1/3)*d))**(3/4)/(d*d/(d/(((d/(d*d**(-1/3)/d))/d)/d)))**(-4/3) assuming d is positive. d**(7/36) Simplify (x**9*x*x**5)/((x*x**(-5))/((x/(x/x**(-4))*x)/x)) assuming x is positive. x**15 Simplify (v*(v*v**3*v*v)/v*v*v**(-7))**24 assuming v is positive. 1 Simplify (l**(3/4)*l*l*l**(-2/11))**49 assuming l is positive. l**(5537/44) Simplify (i/((i/(i**(-1/3)/i))/i))**(-46)*(i*i**(-2/5))/(i**3*i) assuming i is positive. i**(179/15) Simplify ((p**(-2/7)/p)**(2/27))**28 assuming p is positive. p**(-8/3) Simplify (((o*o/o**(1/3))/o)**(2/3))**(-44) assuming o is positive. o**(-176/9) Simplify m**0/m*m/m**26 assuming m is positive. m**(-26) Simplify ((w*w/w**(-2/9))/w)**(-24)*(w**(-2/3))**6 assuming w is positive. w**(-100/3) Simplify (r**(3/7))**(-17)/(r**9/r*r**(-2/9)/r) assuming r is positive. r**(-886/63) Simplify (a**(2/13)*a/((a*a**(-2/9)*a*a)/a))**46 assuming a is positive. a**(-3358/117) Simplify (z**(-2/23))**(5/11) assuming z is positive. z**(-10/253) Simplify ((f/((f*f**(-1/2)*f)/f))/f)**38*(f*f/f**(-6))/f**5 assuming f is positive. f**(-16) Simplify o**(-1/37)*o**(-4/3)/o*o assuming o is positive. o**(-151/111) Simplify (s*s/(s/(s*s/s**(-1/10))))**(-18/11) assuming s is positive. s**(-279/55) Simplify ((j*j**(2/3))**23)**(9/8) assuming j is positive. j**(345/8) Simplify b*b*b*b*b**(-1/3)/b*b**1*(b*b**(2/3)*b)**40 assuming b is positive. b**(331/3) Simplify o**(14/3)*o**(-28) assuming o is positive. o**(-70/3) Simplify ((s*s*s/(s**(2/5)*s)*s)**(-4/25))**(-8/5) assuming s is positive. s**(416/625) Simplify (i**(-1))**6 assuming i is positive. i**(-6) Simplify ((y**0/y)**23)**(2/9) assuming y is positive. y**(-46/9) Simplify (g**(1/9)/g**(-12))**27 assuming g is positive. g**327 Simplify s**10*s**(-7) assuming s is positive. s**3 Simplify d**15/d**(-16/3) assuming d is positive. d**(61/3) Simplify (c*(c/(c/(c/(c/(c/c**(2/3)))))*c*c)/c)**13 assuming c is positive. c**(
{ "pile_set_name": "DM Mathematics" }
s w even? False Let n(m) = 2*m**2 + 2*m - 4*m + 3*m. Does 12 divide n(4)? True Let t(v) = v**2 + v + 1. Let k(i) = -3*i**3 - 6*i**2 - 6*i - 6. Let j(h) = k(h) + 5*t(h). Let w be ((-4)/(-6))/((-3)/9). Is j(w) a multiple of 10? False Let y be 26 + 5 + (-5 - -2). Suppose 0*n + y = 2*n. Is 6 a factor of n? False Let w be (-3 + (-3 - -4))/2. Let r(t) = 44*t**2 - 1. Is r(w) a multiple of 11? False Let o(c) = c**2 + 1. Let g be o(4). Let b be 2/3 + 25/3. Let l = g - b. Is 6 a factor of l? False Let w(i) = 6*i + 7. Does 5 divide w(3)? True Let q(y) = -96*y**2 + 2*y. Let w(s) be the third derivative of -4*s**5/5 + s**4/24 + s**2. Let o(g) = -3*q(g) + 5*w(g). Is o(1) a multiple of 16? False Suppose -468 = -2*r - 4*r. Does 6 divide r? True Let j(b) = 11*b - 7. Suppose -d + 6 = 1. Let v be j(d). Suppose 0*n + 4*n = v. Does 11 divide n? False Suppose -90 = 4*f - 9*f. Does 9 divide f? True Let k = -39 - -50. Is k even? False Suppose -4*r + 183 = 4*x + 23, -159 = -4*r - 3*x. Is r a multiple of 8? False Let d(f) = -2*f**2 + 0*f - 3 - 2*f + f**2 - 7*f**3 + 2. Does 3 divide d(-1)? False Let o(l) = 3*l**2 - l. Is 4 a factor of o(-3)? False Let g(c) = -8*c - 1. Is g(-1) a multiple of 2? False Is 22 a factor of (-2034)/(-27) + 2/(-6)? False Let i(a) = a**3 - 9*a**2 - 2*a + 10. Is i(10) a multiple of 20? False Let l(f) = -f**2 + 10*f. Suppose 5*j - 46 = -16. Suppose -9 = -3*h + j. Is 7 a factor of l(h)? False Let o(h) = h**2 - 3*h + 1. Let x be o(3). Is 13 a factor of 154/4 + x/2? True Let q = 1 - -2. Does 2 divide q? False Let y(b) = b**2 - 5*b - 7. Let g(u) = u**3 + 5*u**2 + 4*u + 1. Let v be g(-3). Does 4 divide y(v)? False Suppose -x = 2*c - 0*x - 9, 3*c + 2*x = 11. Suppose c*y = 2*y. Suppose -2*z + 47 = 3*a, y = -a - a + 2*z + 48. Does 15 divide a? False Let i be 8/28 - 303/7. Let m = -4 - i. Does 13 divide m? True Suppose 9*l = 14*l - 75. Is l a multiple of 5? True Let y(u) = 4*u**2 + 5*u - 3. Let g = 2 + 1. Is 16 a factor of y(g)? True Let n(v) = -7*v + 1. Let i = 7 + -12. Let d(p) = p**3 + 5*p**2 + p + 4. Let u be d(i). Is n(u) a multiple of 7? False Let s = -273 + 465. Is s a multiple of 24? True Let n = -72 + 108. Is 12 a factor of n? True Suppose 36 = -0*j + 3*j. Suppose -2*z + j = 2*q, 0 = 2*q + z + 5 - 15. Suppose -2*x = 2*w - 38, -x + q*x + 5*w = 63. Is 8 a factor of x? True Let m(g) = 3*g - 27. Does 6 divide m(11)? True Let i(p) = 2*p**2 - 7*p - 9. Let w be i(7). Let m = w + -10. Suppose 3*v + 0*t - m = 3*t, -2 = -t. Is v a multiple of 6? True Suppose -74*i = -77*i + 24. Does 4 divide i? True Let w(f) = f**3 - 11*f**2 + 12*f - 6. Suppose 6*s = 3*s + 30. Does 4 divide w(s)? False Suppose d + 30 = 5*g, -1 = 4*g + d - 16. Does 4 divide g? False Suppose 3*w - 3*n - 156 = 0, -2*n + 0*n - 200 = -4*w. Does 8 divide w? True Let a(j) = -j + 39. Does 13 divide a(0)? True Let h(w) be the third derivative of -w**5/60 + w**4/8 - 5*w**3/3 + 2*w**2. Let x be h(8). Let z = 90 + x. Is z a multiple of 16? False Suppose -2*j - 5*s + 33 = -47, 20 = -5*s. Does 25 divide j? True Let f(m) be the third derivative of 5*m**4/12 - m**3/3 + 3*m**2. Let s be f(6). Let t = s - 38. Does 10 divide t? True Let n(o) be the third derivative of -1/120*o**6 - 1/24*o**4 - 5/6*o**3 + 0 - 3*o**2 + 0*o + 1/10*o**5. Does 15 divide n(5)? True Let f(t) = t**3 - t**2 - 2*t + 1. Let u be f(-2). Let m = 11 + u. Suppose m*r = 37 - 1. Is r a multiple of 8? False Let w be ((-14)/21)/(4/(-30)). Let d(l) = -l**3 + 6*l**2 - 2*l. Is d(w) a multiple of 5? True Suppose -5*b - 4*h + 15 = 0, -5*h + 0 = -3*b + 9. Let j = 24 - b. Suppose j = 2*c - 3*l, 18 = 2*c - 3*l - l. Is 5 a factor of c? True Suppose -3*y + 401 = 4*w, -y + 202 = 2*w + y. Does 14 divide w? True Let h be 1/2 - (-34)/(-4). Let p = -5 - h. Suppose p = -3*q + 36. Is q a multiple of 4? False Let k(q) = -6*q + 13. Let n(a) = 5*a - 13. Let z(w) = -6*k(w) - 7*n(w). Let t be (3 - (3 + -4)) + -12. Is z(t) a multiple of 5? True Let h = -13 - -37. Does 6 divide h? True Suppose 0*f + 28 = 2*f. Is f a multiple of 14? True Let j(p) = -p**3 - 6*p**2 + 5*p. Does 22 divide j(-8)? True Let m = 113 - 77. Suppose -4*h - m + 232 = 0. Suppose -5*u + h = -6. Is u a multiple of 11? True Suppose -f = 5*x - 29, 4*f + 2 - 49 = 3*x. Suppose f + 14 = o. Does 28 divide o? True Suppose 4*v + 5*f + 0*f + 7 = 0, v = -f - 3. Let t = 24 + v. Is t a multiple of 16? True Suppose 5*w - 3*h = 85, w - h - 15 = -0*w. Is w a multiple of 14? False Let a be 2 + (-5)/(10/4). Suppose a = -4*c + 35 + 41. Suppose c + 16 = 2*j - 5*y, -3*j = 4*y + 5. Is 2 a factor of j? False Let q(x) = -x**2 + 23*x + 9. Is 8 a factor of q(20)? False Let p = 18 - -14. Let s = 50 - p. Suppose -q - q + s = 0. Is 5 a factor of q? False Let q(o) = o**2 - 7*o - 10. Let k be q(8). Is (k + -1)/3*-20 a multiple of 20? True Is (-3)/(-24) - (-1195)/40 a multiple of 9? False Let r(p) = 3*p - 5. Let m be r(5). Is 20 a factor of m/4*20/2? False Suppose -5*l = 5*i - 20, 0 = 5*i - 3*l + 5 + 7. Suppose i = 9*v - 5*v - 56. Suppose -10 - v = -2*b. Is 7 a factor of b? False Suppose -2*l + 8 = 0, 2*f - 28 = -f - l. Suppose 0 = f*j - 4*j - 48. Is 6 a factor of j? True Let l(k) = k. Let d(g) = -2*g - 6. Let y(i) = d(i) + 3*l(i). Let o be y(9). Suppose -a - 3*a = s - 51, 5*s - 51 = -o*a. Does 12 divide a? True Suppose 4*w - 6 = -18, 4*m = 4*w + 84. Suppose 4*v - 14 = -3*n - v, -3*v = 5*n - m. Does 8 divide (-3)/n - 1 - -24? False Suppose 6*n = 2*n + 28. Suppose -4*z = -n*z. Suppose 3*b + 4*i + 6 = 1, -b + 2*i + 15 = z. Is 2 a factor of b? False Let t(y) = -y**3 + 6*y**2 - 5*y + 3. Let b be t(5). Let d(j) = 4*j + 1. Let g be d(1). Suppose 0 = n - 3*r - 25, -2 = -b*n - g*r + 3. Is 10 a factor of n? True Let x(c) be the third derivative of 0*c**5 + 0*c - c**2 + 1/24*c**4 + 0 - 1/30*c**6 + 1/6*c**3. Is x(-1) a multiple of 4? True Is 2/(-4) - 404/(-8) a multiple of 25? True Does 41 divide -2 + -1 - 174/(-1)? False Let k(o) = 5*o - 5*o**2 + 3 - 2*o - 4*o - o**3. Is 2 a factor of k(-5)? True Suppose -2 = -z + 1. Suppose 7 + 200 = z*k. Is 33 a factor of k? False Suppose 2*m - 96 = -5*g, 2*g - m = 3*g - 18. Suppose -3*w - 5*x + g = 0, 0 = 3*w - 0*x - 3*x - 60. Is w a multiple of 5? True Let n(f) = -f**3 - f**2 + 6. Suppose -3*m = -m. Does 2 divide n(m)? True Suppose 3398 = 11*r + 538. Does 13 divide r? True Suppose 0 = 4*i - u + 4*u + 44, 4*u = 16. Let y = i + 23. Is 6 a factor of y? False Suppose -8 = -4*w + w - 5*h, -4*h - 1 = -5*w. Let u(r) = -r + 1. Let o be u(w). Suppose o = t - 2*d - 5 - 3, -4*t + 46 = -d. Does 12 divide t? True Let l = 9 - 3. Does 16 divide (116/(-6))/((-2)/l)? False Let d = -42 + 61. Is 6 a factor of d? False Let b = 23 + -7. Is 2 a factor of b? True Suppose -8 - 4 = -3*s. Suppose 24 = s*k - 8. Suppose -3*v = -k*v + 100. Does 5 divide v? True Let i(b) = -b**2 + 6*b - 6. Let x be i(5). Does 28 divide 27 - 1*(-2 - x)? True Suppose -3*v = -4*y - 185, -3*v - 5*y + 3*y + 173 = 0. Is 6 a factor of (-3)/(-15) + v/5? True Let j(n) = n**3 + 7*n**2 - n + 2. Let o be j(-7). Suppose -g + o = 3. Is g a multiple of 6? True Suppose 0 = -8*h + 5*h - 15. Let z be (0 + h)*48/(-10). Let q = z - 15. Is 4 a factor of q? False Suppose 0*a + 5*a - 195 = 0. Does 10 divide a? False Suppose 7*a + 267 = 10*a. Suppose 25 - a = -2*o. Is 7 a factor of o? False Let q(b) = -3*b + 1. Let x be q(-1). Does 9 divide (-2)/4 - (-102)/x? False Let a(x) = x**2 - 3. Let t be a(6). Suppose t = 5*u + 8. Is 2 a factor of u? False Let h(g) = 8*g - 1. Let x be h(6). Suppose b = -1, 0 - x = -2*w - 5*b. Let t = -9 + w. Is t a multiple of 13? False Let l = -30 - -58. Let u = 7 + l. Is u a multiple of 24? False Suppose -25 = 3*y - 10, 0 = -4*c + 4*y + 92. Suppose 4*g + 4*l = 112, 4*g + 4*l = 5*g - c. Does 13 divide g? True Let z(w) = 60*w + 1. Let q be 2 - (-3)/6*-6. Let b be z(q). Let x = -35 - b. Does 20 divide x? False Let k(u) = u - 4. Is k(15) a multiple of 2? False Suppose 0 = 3*o - s - 396, -o - s + 53 = -79. Is o a multiple of 44? True Let b be (-2 - (-6)/3)*1. Suppose 5*r = -4*w + 15, -3*w - 4*r + 3 + 9 = b. Let t(l) = -l**3 + l**2 + l + 10. Is t(w) a multiple of 10? True Let k be (-9)/6 - 1/2. Is 26 a factor of 0 - 49*(-3 - k)? False Let y be ((-27)/4)/(4/32). Is 50/(-15)*y/4 a multiple of 12? False Let g be (-2 - (-1)/1) + 10. Suppose 4*m = -4*f
{ "pile_set_name": "DM Mathematics" }
510 What is the least common multiple of 351 and 33? 3861 What is the common denominator of 31/189 and 20/147? 1323 Find the common denominator of 17/2 and 53/26. 26 What is the smallest common multiple of 1792 and 320? 8960 What is the lowest common multiple of 2153 and 2? 4306 What is the common denominator of -53/108 and 119/36? 108 Calculate the smallest common multiple of 130 and 5174. 25870 What is the lowest common multiple of 3 and 41? 123 Calculate the smallest common multiple of 68 and 357. 1428 Calculate the common denominator of 127/54 and 179/1230. 11070 What is the common denominator of 109/154 and -61/99? 1386 Calculate the common denominator of 71/1380 and 91/345. 1380 What is the common denominator of -57/8659 and -57/7? 8659 Calculate the common denominator of 7/20 and 61/118. 1180 What is the common denominator of 23/7 and 22/103? 721 Find the common denominator of 127/3230 and 27/2584. 12920 Calculate the lowest common multiple of 3214 and 12856. 12856 What is the smallest common multiple of 6 and 124? 372 Calculate the common denominator of 13/54 and -139/2442. 21978 Calculate the least common multiple of 21 and 1029. 1029 Find the common denominator of 32/35 and -64/875. 875 Calculate the common denominator of -173/300 and -47/420. 2100 Calculate the least common multiple of 8 and 7935. 63480 What is the least common multiple of 312 and 18? 936 Calculate the least common multiple of 387 and 27. 1161 What is the common denominator of -28/505 and -19/101? 505 What is the smallest common multiple of 5 and 88? 440 What is the least common multiple of 12 and 36? 36 What is the least common multiple of 36 and 102? 612 What is the lowest common multiple of 1638 and 3? 1638 Find the common denominator of -29/28 and -53/48. 336 Calculate the least common multiple of 3 and 803. 2409 What is the smallest common multiple of 165 and 6? 330 Find the common denominator of 47/1890 and 1/22. 20790 What is the lowest common multiple of 128 and 448? 896 Calculate the common denominator of -117/50 and -47/18. 450 What is the lowest common multiple of 114 and 6? 114 What is the common denominator of 17/401 and -5/17? 6817 What is the common denominator of -1/6696 and 125/648? 20088 What is the least common multiple of 1682 and 8? 6728 What is the smallest common multiple of 98 and 10? 490 Calculate the common denominator of -11/16926 and 181/546. 16926 Calculate the common denominator of -33/721 and 38/105. 10815 Calculate the least common multiple of 119 and 136. 952 Find the common denominator of -167/990 and -35/16. 7920 What is the lowest common multiple of 64 and 224? 448 Find the common denominator of 53/70 and -9/3605. 7210 Calculate the common denominator of -71/12540 and -193/4560. 50160 Calculate the common denominator of 93/2 and -151/30. 30 Calculate the least common multiple of 90 and 72. 360 What is the least common multiple of 10 and 30? 30 What is the lowest common multiple of 1112 and 973? 7784 Calculate the lowest common multiple of 70 and 160. 1120 What is the least common multiple of 140 and 76? 2660 Calculate the lowest common multiple of 39 and 6. 78 What is the common denominator of -8/461 and 19/8? 3688 Calculate the common denominator of -137/70 and -65/4. 140 Find the common denominator of 97/14 and -8/7. 14 Find the common denominator of -43/108 and 161/90. 540 What is the common denominator of -47/528 and 55/144? 1584 Calculate the least common multiple of 27 and 831. 7479 Find the common denominator of 5/816 and 163/2244. 8976 What is the common denominator of -29/280 and -63/176? 6160 What is the least common multiple of 1330 and 8? 5320 Calculate the common denominator of -85/22 and 101/234. 2574 Calculate the least common multiple of 114 and 24. 456 What is the least common multiple of 791 and 1017? 7119 What is the smallest common multiple of 2412 and 3618? 7236 Find the common denominator of 87/2 and 49/22. 22 What is the smallest common multiple of 5 and 522? 2610 Calculate the lowest common multiple of 5 and 88. 440 What is the smallest common multiple of 27 and 21? 189 Calculate the common denominator of -1/270 and -47/450. 1350 What is the lowest common multiple of 10 and 76? 380 What is the common denominator of -1/468 and -47/9? 468 What is the smallest common multiple of 7 and 115? 805 Find the common denominator of 52/3 and -65/424. 1272 What is the common denominator of 95/96 and -89/2? 96 Calculate the common denominator of -28/243 and 83/420. 34020 What is the common denominator of -65/56 and 93/224? 224 What is the common denominator of 107/42 and 9/1267? 7602 Calculate the common denominator of 64/15 and -31/5940. 5940 Calculate the least common multiple of 5 and 55. 55 What is the common denominator of -29/8 and 79/88? 88 Calculate the common denominator of 28/657 and 77/438. 1314 What is the least common multiple of 684 and 209? 7524 Calculate the lowest common multiple of 54 and 38. 1026 Find the common denominator of -87/1880 and 67/15980. 31960 Calculate the smallest common multiple of 208 and 377. 6032 Calculate the least common multiple of 8 and 105. 840 What is the least common multiple of 231 and 63? 693 Find the common denominator of 7/582 and -13/2910. 2910 Calculate the common denominator of 34/133 and 41/665. 665 Find the common denominator of 41/72 and -25/774. 3096 What is the common denominator of 29/308 and -23/8? 616 Calculate the lowest common multiple of 312 and 264. 3432 Calculate the common denominator of 123/10 and 103/2158. 10790 What is the common denominator of 53/14 and 81/14? 14 What is the common denominator of -59/1120 and -45/16? 1120 Calculate the least common multiple of 64 and 80. 320 What is the least common multiple of 54 and 1764? 5292 Calculate the least common multiple of 987 and 2303. 6909 Find the common denominator of -1/22 and 7/146. 1606 What is the common denominator of -10/19 and 99/76? 76 What is the least common multiple of 300 and 40? 600 Calculate the smallest common multiple of 183 and 183. 183 Calculate the smallest common multiple of 336 and 462. 3696 What is the lowest common multiple of 1050 and 250? 5250 Calculate the least common multiple of 39 and 258. 3354 Calculate the common denominator of 18/371 and 28/41. 15211 Calculate the least common multiple of 31 and 279. 279 What is the common denominator of 41/660 and 17/30? 660 Calculate the common denominator of -31/880 and -71/600. 13200 What is the smallest common multiple of 1463 and 1254? 8778 What is the least common multiple of 957 and 348? 3828 Calculate the least common multiple of 720 and 264. 7920 What is the least common multiple of 6 and 370? 1110 What is the common denominator of 109/24 and 101/52? 312 Find the common denominator of -27/14 and -27/68. 476 Calculate the lowest common multiple of 22 and 1870. 1870 Calculate the common denominator of 103/306 and -139/36. 612 Calculate the lowest common multiple of 10 and 15. 30 Calculate the lowest common multiple of 92 and 27. 2484 What is the least common multiple of 108 and 2? 108 What is the common denominator of -91/30 and 73/30? 30 What is the least common multiple of 12 and 168? 168 What is the common denominator of -23/150 and -53/200? 600 What is the least common multiple of 705 and 2585? 7755 What is the smallest common multiple of 40 and 100? 200 Calculate the smallest common multiple of 300 and 18. 900 Calculate the common denominator of 127/390 and -29/120. 1560 Calculate the smallest common multiple of 183 and 12. 732 What is the common denominator of -39/137 and 97/4? 548 What is the common denominator of 63/338 and -95/22? 3718 What is the smallest common multiple of 110 and 2? 110 Calculate the lowest common multiple of 12006 and 8. 48024 Calculate the smallest common multiple of 1846 and 8307. 16614 What is the common denominator of 35/54 and 11/1510? 40770 Find the common denominator of 41/18 and 79/2542. 22878 Calculate the common denominator of -119/1818 and 137/1818. 1818 Calculate the least common multiple of 6 and 3. 6 What is the smallest common multiple of 12 and 206? 1236 What is the lowest common multiple of 10 and 3650? 3650 What is the least common multiple of 195 and 3770? 11310 What is the commo
{ "pile_set_name": "DM Mathematics" }
(z). What is the units digit of 0 - -16 - (-3)/a? 5 Let h(z) = -z**3 - 8*z**2 - 6*z - 28. Let c be h(-8). What is the units digit of 5/c - (-1677)/12? 0 Let l = -484 - -1046. What is the units digit of l? 2 Let l(b) be the second derivative of -b**5/20 - b**4/6 + b**3 + 3*b**2/2 - 2*b + 10. Suppose 4*u + 0*u + 16 = 0. What is the tens digit of l(u)? 1 Let y(m) = m**2 + 2*m + 3. Suppose 0*k - 4*k = -88. Let v = -27 + k. What is the units digit of y(v)? 8 Suppose 5*f + 41 = -o + 9, o = 4*f + 4. Let i(u) = u**3 + 13*u**2 + 3*u + 9. What is the tens digit of i(o)? 1 Suppose -4*v + 34 = -14. Let m = 4 + v. What is the tens digit of m? 1 Suppose 0*j - 2 = 2*j + 2*f, 3*f = 2*j + 7. What is the units digit of j/5 - (156/(-15) + 6)? 4 Suppose 225*f = 212*f + 4173. What is the hundreds digit of f? 3 Let k = -642 - -1204. What is the hundreds digit of k? 5 Let n = -45 + 55. What is the tens digit of -2*(-113)/n + 12/(-20)? 2 Let c(r) = 5*r**2 - 4*r - 2. Let v be c(6). Let h be 21/5 - ((-66)/(-30) - 2). Suppose -v = -h*l - 2*d, l + d - 157 = -3*l. What is the units digit of l? 0 Let p be 10 - 1 - (0 + 4). Suppose 12 + 416 = 3*c + p*d, -3*c - 4*d = -430. What is the hundreds digit of c? 1 Let h(v) = -v**3 - 6*v**2 - 6*v - 1. Let a be h(-5). Let p be (-86)/4 - a/(-8). What is the units digit of p/6*24/(-14)? 6 Let a(d) = -d**3 - 6*d**2 - 3*d + 12. Let h be a(-5). Suppose -h*j = -0*j - 350. What is the tens digit of j? 7 Let f(w) = -w - 6. Let x be f(-8). Let k(j) = 24 + j**x + 15*j - 2*j - 7. What is the units digit of k(-12)? 5 Suppose -3*l - 5 = -4*l. Suppose 0 = 11*a - l*a - 90. What is the tens digit of a? 1 Let f = 11 + -8. Let v(z) = -z - f*z + 25*z**3 + 3*z. What is the units digit of v(1)? 4 Let b(k) = -2*k + 2. Let o be b(2). Let g = 1 + -1. Let h = g - o. What is the units digit of h? 2 Suppose 518*a - 522*a = -356. What is the tens digit of a? 8 Suppose -3*x + 119 = r - 110, 3*x - 3*r = 225. What is the tens digit of x? 7 Suppose 4*r - 3 = 4*u - 7, u - 2*r = 0. Suppose 0*g = -u*g + 4. What is the units digit of -1 + g + 81/3? 8 Let b(p) = -p**3 + 27*p**2 + 16*p - 92. What is the tens digit of b(27)? 4 Suppose 0 = -9*i + 7*i + 8. Let s(q) = -13 - q**2 - i*q - q**3 + 2*q**2 + 7*q**2. What is the tens digit of s(6)? 3 What is the tens digit of (-2960)/2*(12/4 - 4)? 8 Suppose -5*s + 23*d = 22*d - 16336, -4*s + 3*d + 13060 = 0. What is the units digit of s? 8 Let f(v) = 153*v + 2. Let x be f(2). Suppose -x = -4*t + 32. What is the units digit of t? 5 Suppose 5*l - 10 = -p + 2*l, 0 = -p + 5*l + 50. Suppose 0 = -3*w + 3*r - 0*r - 18, -5*w - 3*r = 6. Let u = w + p. What is the tens digit of u? 2 Let m(w) = -69*w**2 + w + 1. Let n be m(2). What is the tens digit of (n/(-13))/(0 - (-2)/12)? 2 Suppose -4*y + 20 = 0, 0 = 7*l - 2*l - y + 15. Let c(g) = 37*g**2 + 1. What is the hundreds digit of c(l)? 1 Suppose 2*f = 0, 5*f + 228 = 4*m + f. Let v = 22 + m. What is the tens digit of v? 7 Suppose -2 = -4*c + 10. Let s be 120/(-36)*c/(-2). Suppose -5*o + 24 = x, 5*x - 70 = s*o + 50. What is the units digit of x? 4 Suppose 2*l - 2*f = -2*l + 2264, f - 4 = 0. What is the tens digit of l? 6 Suppose -86 = 4*m + 2*n, -5*m - 126 = 5*n - 6. Let x be m/(-2) + (-27)/18. What is the units digit of (-1576)/(-28) - x/28? 6 Suppose -2*t - 2*t = -3*g - 265, -3*t + g + 205 = 0. Suppose 9*y - t - 20 = 0. What is the units digit of y? 0 Suppose -4*k = -5*d - 4 + 37, -2*d + 5*k + 3 = 0. Suppose -d + 7 = -j. What is the tens digit of 29 + -5 + j - 0? 2 Let b = 25 + -40. Let f = b + 117. What is the units digit of f? 2 Let y = 21 + -7. Let p = y + 2. What is the tens digit of p? 1 Suppose 1192 + 2092 = 2*a. What is the thousands digit of a? 1 Let y = -25 - -32. Suppose m - y = -0. Suppose 0 = -m*a + 2*a + 315. What is the tens digit of a? 6 Let a be (-4)/6*(2 + 25/(-2)). Let r(s) = s**3 - 5*s**2 - 8*s + 6. What is the units digit of r(a)? 8 Suppose 4*i - 2*r - r = 33, -3*r + 51 = 3*i. Let w be (1 + 7)*6/i. Suppose 0 = -2*y - w*n + 10, -2*y + 16 = 2*y + 4*n. What is the units digit of y? 3 Let u(a) = -a**3 + 6*a**2 + 5*a - 1. Suppose 14*c - 12*c = 12. What is the tens digit of u(c)? 2 Suppose 5*w + 2*r = 174, -4*r = -3*w - r + 96. Suppose 0*y - 2*y = -w. Suppose 2*h = z - 3*z + 4, -h = -2*z - y. What is the units digit of h? 7 What is the units digit of (-9)/(-15) - (4 - 10810/25)? 9 Let k(d) = d**2 - 4*d - 17. Let o(c) = -c**3 + 5*c**2 + 8*c - 3. Let m be o(6). What is the tens digit of k(m)? 2 Let w = -227 - -239. What is the tens digit of w? 1 Let m(w) = 44*w**2 - 4. Let z be m(-3). Suppose 38*i - 42*i + z = 0. What is the units digit of i? 8 Let g(w) = w**3 - 4*w**2 - w + 8. Let s be g(4). Let t(c) be the first derivative of 5*c**2/2 - 5*c + 2. What is the units digit of t(s)? 5 What is the tens digit of 75/(-10) - -7 - (-5103)/6? 5 Suppose 2*f = -0*w + 3*w + 16, -4*f - 4 = 0. Suppose -s + 12 = 2*s. What is the units digit of (-38)/s*(w + 4)? 9 Suppose -3*t + i + 925 = 5*i, 950 = 3*t - i. Suppose p - 2*j - 17 = 40, -5*p + t = 5*j. What is the units digit of p? 1 Suppose -3*x = -5*f + 16, -2*x + 0 - 4 = -2*f. Suppose 3*i = 4*i - 5*d + x, d = 2*i + 15. Let k = 23 - i. What is the tens digit of k? 3 Suppose 467 = 16*b - 47325. What is the thousands digit of b? 2 Let n = -3289 + 4715. What is the thousands digit of n? 1 Let f(v) = 3*v + 3. Let s be f(0). What is the tens digit of s/(-3)*3*146/(-6)? 7 Suppose -4*z = -98 - 18. Suppose -30*o + 337 = -z*o. What is the units digit of o? 7 Suppose 0 = -n + 5 - 3. Let j(h) = 3*h + 24. Let v be j(-8). Suppose v = m + w - n*w - 22, 5*m = -w + 86. What is the units digit of m? 8 Let x = -48 + 48. Suppose -6*b + 180 + 258 = x. What is the tens digit of b? 7 Let z(n) = -67*n + 82. What is the thousands digit of z(-19)? 1 Let n = -15 + 12. Let d = -19 - -7. What is the tens digit of d/8*26/n? 1 Let i = -2902 - -5074. What is the hundreds digit of i? 1 Let b(i) be the second derivative of -2/3*i**4 - 3*i**2 - 1/20*i**5 + i + 0 + 5/6*i**3. What is the units digit of b(-9)? 0 Suppose 2*y - 7*h - 8 = -6*h, 1 = -3*y - 5*h. Suppose -3*f + 291 = -0*f - y*d, 2*d = -f + 109. What is the hundreds digit of f? 1 Let l(v) = 1. Let d(u) = u - 2. Let x(y) = -d(y) - 4*l(y). Let p be x(2). What is the tens digit of p/(4/(-41)) + -3? 3 Let m(a) = -3*a - 12 + a - 2*a + a**2. Let i = 132 + -137. What is the units digit of m(i)? 3 Let t = 459 + -400. What is the units digit of t? 9 Let m(f) = f**3 - 2*f**2 + 22*f - 19. What is the hundreds digit of m(10)? 0 Let c be (-6 - -6) + 54/1. Let o = c - 26. Suppose -86 = -5*j + 3*x, 0*j - 3*x + o = j. What is the units digit of j? 9 Let h(w) = 2*w - 21. Let q be h(9). What is the units digit of (-2 - q) + (-5 - -69)? 5 Let t = 2 - 18. Let o = t + 17. Let b(z) = 39*z**2 - z + 1. What is the units digit of b(o)? 9 Let u(c) = c**3 + 56*c**2 - 109*c + 184. What is the hundreds digit of u(-57)? 1 Suppose -2*c = 3*c - 35. Let s(b) = -b**2 + 8*b - 7. Let d be s(c). Suppose -3*y + 2*l + 75 = 0, y = -d*y - 4*l + 39. What is the tens digit of y? 2 Suppose -8*i + 32 - 88 = 0. Let u(k) = -k**3 - 6*k**2 + 3*k - 3. What is the units digit of u(i)? 5 Let h(y) = -15*y - 1. Let o(c) be the second derivative of c**4/12 + c**3/3 - c**2/2 + 2*c. Let x be o(-2). What is the tens digit of h(x)? 1 Suppose -2*y - 3*h = -581, 7*h + 1117 = 4*y + 4*h. What is the units digit of y? 3 Suppose -4*y = 5*k + 10, y + 5*k - 2*k + 6 = 0. Let c be (-43)/(129/180)*1*-1. Suppose y = -j - 2*j + c. What is the units digit of j? 0 Let s(i) = -5*i + 13. Let n be s(3). What is the units digit of (-138)/(-3)*(-1)/n? 3 Let y = -251 - -372. Suppose 4*j = 3*w - y, -5*w - 3*j = -248 + 56. Let f = -7 + w. What is the tens digit of f? 3 Suppose 0 = -3*h - 12 + 54. Let i = h - 8. What is the units digit of (-618)/(-18) + 4/i? 5 Let x = 779 - 178. What is the hundreds digit of x? 6 Let m(x) = x**3 + x**2 - x + 1. Let y be m(0). Let f be 2 + y/(2/(-4)). Suppose 5*s + 34 - 179 = f. What is the units digit of s? 9 Let a = -37 + 61. Let z be 2/(-3)*a/(-8). Suppose 4*n - 36 = -z*n. What is the units digit of n? 6 Suppose c + 2*v - 256 = 0, -1244 = -5*c - 3*v + 5*v. What is the tens digit of c? 5 Suppose 0 = -f - 9 - 1. Let c be (-3)/15 + (-52)/f. Suppose 2*q = -2*a + q + 3, 5
{ "pile_set_name": "DM Mathematics" }
12599 + 12629. Let a = 140 - 27. What is the remainder when a is divided by l? 23 Let u = 12341 + -7087. Calculate the remainder when u is divided by 18. 16 Suppose -3*y + 5*a = -477, 8 = -4*a + 20. What is the remainder when y is divided by 83? 81 Suppose 4*o - 304 = 4*t, o + 2*t - 115 = -30. Suppose -11*h + 33 + 209 = 0. What is the remainder when (3 + o)*1/2 is divided by h? 19 Let x(m) = m**3 - 6*m**2 - 3*m + 3. Let d be x(6). Let s be (18 + d)/(6/(-32)). Calculate the remainder when 8 is divided by (-2)/(-2) + (s - -20). 3 Let d(m) = -m**3 + 18*m**2 - 2*m + 14. Let b = 249 - 181. What is the remainder when d(17) is divided by b? 65 Suppose 2*p + 2*p - 12 = 0. Let u(d) = 7*d**2 - 2. Suppose 10 + 22 = m. What is the remainder when u(p) is divided by m? 29 Let g = -134 + 194. What is the remainder when 225 is divided by g? 45 Calculate the remainder when 5541 is divided by (-3260)/(-90)*(-90)/(-20). 162 Suppose -2*f + 2*g - 428 = 732, -3*g - 2884 = 5*f. Let x = f + 585. Calculate the remainder when 76 is divided by x. 6 Suppose -3*z - 2*l + 48 = -246, 3*z - 2*l - 294 = 0. Suppose 92*d + 228 = z*d. Calculate the remainder when d is divided by 5. 3 Suppose 4*s + 24 - 36 = 0. Suppose 0 = 5*f, 2*a + 2*f - 108 = -s*f. Let k(m) = 21*m - 2. What is the remainder when a is divided by k(1)? 16 Let m(j) = -148*j - 4506. Calculate the remainder when 196 is divided by m(-31). 32 Let x = 297 - 263. Let f(o) = -o**3 + 35*o**2 - 35*o + 62. What is the remainder when 88 is divided by f(x)? 4 Let d be ((-24)/(-27))/4 - (-2164)/(-18). Let y = d + 130. What is the remainder when 26 is divided by y? 6 Suppose 5*b + 9*k + 16 = 5*k, -20 = 5*k. Suppose b = 2*l - 189 - 1. What is the remainder when l is divided by 11? 7 Let u = 13201 + -11856. Calculate the remainder when u is divided by 18. 13 Suppose s + 51 = 5*o, 5*s = -o + 2*o + 9. What is the remainder when ((-59)/3)/(104/(-312)) is divided by o? 4 Suppose -2*y - 11168 = -5*x, 123*x + 5*y = 121*x + 4502. What is the remainder when x is divided by 20? 16 Let r be (2 + 1)/(11 - 75/6). Calculate the remainder when 30 is divided by 39*((-12)/9 - r). 4 Calculate the remainder when 101 is divided by (-3)/(-2 - 752/(-384)). 29 Suppose -4*m - 126 = 5*z - 819, -z - 357 = -2*m. Let a = m - 106. Suppose 4*i - 6*i = 3*g - 51, -3*g = -i - 42. What is the remainder when a is divided by g? 11 Let v = 22684 + -22669. Let q = 277 + -57. What is the remainder when q is divided by v? 10 What is the remainder when 36369/513 + (220/(-76) - -3) is divided by 7? 1 Let x(n) = n**3 - 20*n**2 + 84*n + 87. What is the remainder when 1346 is divided by x(15)? 14 Suppose -8*u + 9*u = 111. Suppose u = 4*k + 3*b, 5*k - 113 = 3*b + 46. Calculate the remainder when k + (-6 - -2) - 2/2 is divided by 13. 12 Suppose 23 + 107 = 13*f. What is the remainder when (107 + 0)*f/5 is divided by 9? 7 Let y(x) = x**3 + 10*x**2 + 12*x - 7. What is the remainder when 5/(45/(-324))*(-9)/2 is divided by y(-7)? 50 Let v = 323 + -322. Let y(b) = 29*b + 4. What is the remainder when 77 is divided by y(v)? 11 Suppose 15*i = 11*i + 8. Suppose -2*t + o + 7 = 3*t, i*t - 3*o + 5 = 0. Suppose -3*k + t*y = k - 146, k = y + 34. What is the remainder when k is divided by 14? 11 Let b = 75 - 5. Calculate the remainder when 2 + 1 - (2 + (1 - b)) is divided by 18. 16 Let c = 134 - 28. Let o = c - 85. What is the remainder when o is divided by 4/(-14) - 79/(-7)? 10 Let x(l) = -2*l**3 - 18*l**2 - 36*l - 14. What is the remainder when x(-8) is divided by 114? 32 Suppose 3*l = -4*l + 35. Let p(n) = -n**3 + 30*n**2 - 31*n + 79. Calculate the remainder when p(29) is divided by l. 1 Calculate the remainder when 1046 is divided by (-11)/3 + (-11)/((-132)/(-16)) + 38. 23 Suppose -32*j - 12813 + 14762 = -23299. Calculate the remainder when j is divided by 34. 7 Let t(q) = q + 10. Calculate the remainder when 15448/84*1 + 2/21 is divided by t(17). 22 Suppose 15*t - 10 = 155. Suppose -3*i - 48 = -t*i. Calculate the remainder when 45 is divided by i. 3 Let s(w) = w**3 - 22*w**2 + 36*w + 56. What is the remainder when s(21) is divided by 39? 20 Let j = 35356 + -35260. What is the remainder when 1915 is divided by j? 91 Suppose -59614 = -99*b - 11599. What is the remainder when b is divided by 483? 2 Suppose 2*n + 2 = 0, -11 = -p - 3*p - n. Suppose p*t = -31 + 82. What is the remainder when t is divided by 10? 7 Suppose -6*u + 20456 - 19550 = 0. What is the remainder when u is divided by 54? 43 Let p(k) = -k**2 + 37*k - 202. Suppose 0 = 4*b - 17 - 35. What is the remainder when p(8) is divided by b? 4 Let c(k) = k**3 + 22*k**2 + 51*k - 40. What is the remainder when c(-19) is divided by 11? 8 Let x(w) = w**3 - 17*w**2 - 60*w + 135. Calculate the remainder when 717 is divided by x(20). 42 Suppose 0 = -4*x + 4, 3*p + 0*x - 5*x + 5 = 0. Suppose p*z - 90 = -5*z. Let k = -1596 + 1641. Calculate the remainder when k is divided by z. 9 Suppose 0 = -5*v + 5*r + 890, 158*v - 157*v - 2*r - 177 = 0. Calculate the remainder when v is divided by 19. 8 Let d = -7 + 18. Suppose 48*r - 62*r - 270 = -32*r. What is the remainder when r is divided by d? 4 Suppose 3*y = 4*b + 122, 2*y + 115*b - 110*b = 43. What is the remainder when 199 is divided by y? 29 Let c = 8216 - 8189. Suppose 2*p - 24 = 5*h, -p + h = -0*h - 6. Suppose -4*q + 170 = p*r, -r + 3*q + 2*q = -50. Calculate the remainder when r is divided by c. 21 Suppose 17 = g + 3*l, -3*g + 5*l - 7*l + 86 = 0. Suppose 5*q = -3*c + 68, -6*c + 2*c = -q + g. What is the remainder when 91 is divided by q? 11 What is the remainder when (-3 - 0)*(-301)/42*4 is divided by (1/4*-25)/((-185)/296)? 6 Let l = 119 + -71. Let c = l + 47. What is the remainder when c is divided by (6/9)/(2 + 14 + 334242/(-20925))? 20 Suppose -5*o + 4*h = -399, -4*o + 4*h + 228 = -88. Calculate the remainder when 1153 is divided by o. 74 Suppose 2*x + 2*x = 44. Let f(u) = 7*u - 3. Let l be f(1). Suppose -5*h - l*o = -65, h + h = 5*o - 7. What is the remainder when x is divided by h? 2 Suppose -6*f - 140 = -452. Let c be (-26)/(-8) + (-3)/12. Suppose -2*q = -6, 6*x - c*x + 4*q - 93 = 0. Calculate the remainder when f is divided by x. 25 Let x(z) = -3*z**3 - 4*z**2 - 3*z - 1. Let u(l) = -216*l + 6731. What is the remainder when u(31) is divided by x(-2)? 9 Suppose -640*w + 628*w = -360. Calculate the remainder when 106 is divided by w. 16 Let p be ((-2)/3)/(2/33). Let w(s) = s**3 + 10*s**2 - 12*s - 3. Let i(c) = -648*c + 15. What is the remainder when i(0) is divided by w(p)? 7 Suppose 91 + 39 = -13*j. Let q be ((-6)/(-4))/((-15)/j*1). What is the remainder when 35 is divided by 3/(-36)*-39 - q/4? 2 What is the remainder when 301 is divided by 114*(6 - (-140)/(-24))? 16 Suppose 2*c = 8*c - 66. Suppose -2*k = 5*m - 149, -2*k = m + 3*m - 154. Let d = k + -68. Calculate the remainder when d is divided by c. 8 What is the remainder when (-2)/((-3784)/539 - -7) is divided by 10? 8 Let s = 344 + -347. Let c(d) = -d**3 - 3*d**2 + 12. Calculate the remainder when 66 is divided by c(s). 6 Let j(c) = -7*c - 35. Let u be j(-8). Suppose 120 = -u*g + 834. Calculate the remainder when 164 is divided by g. 28 Let h(x) = 2*x**2 - 1528*x - 15291. Calculate the remainder when h(-10) is divided by 47 - (0 + -1)*1. 45 Suppose 0 = -4*w - 2290 + 2510. Calculate the remainder when 998 is divided by w. 8 Let d = -11785 - -11821. Suppose 0*t = -7*t + 7. What is the remainder when d is divided by t? 0 Let q(s) = 7317*s + 58544. Let a = 6 - 3. Calculate the remainder when 1/a*(-93)/(-1) is divided by q(-8). 7 Let j be -2*(1 + (-2)/1). Suppose 3*b - 635 = -5*f, 2*b = f - j*b - 104. Let y(o) = -21*o**2 - 750*o + 258. What is the remainder when f is divided by y(-36)? 40 Let v be -2*3 + 0/(2 + 2). Let h be v*(20/(-90) - (-16)/18). Let z(r) = -3*r - 7. What is the remainder when 42 is divided by z(h)? 2 Let r = -33 + 68. Suppose i + d = 1, 4*i + 4*d - 1 = i. Suppose -5*v = 2*u + 2, -48 + 9 = -3*u + i*v. What is the remainder when r is divided by u? 8 Let m be 27 + (-3 - (-1 + 0)). Suppose m*o - 220 = 3*o. Let l(q) = 2*q**3 - 5*q**2 + 4*q + 3. What is the remainder when l(4) is divided by o? 7 Suppose 0 = -5*l + 3*a + 22165, -5*l + 11215 = 3*a - 10920. What is the remainder when l is divided by 13? 10 Let n = 12 +
{ "pile_set_name": "DM Mathematics" }
+ 10*r**3 Expand x**2 - x**2 - x**3 + (2*x + 3*x + 2*x)*(2*x**2 - 4 + 4) + x**3 - 2*x**3 + 0*x**3. 12*x**3 Expand -14*i + 2*i**2 + 1 + 12*i + 1 + (27*i - 14 + 14)*(2*i - 3 + 3). 56*i**2 - 2*i + 2 Expand (-2*j**2 - 2*j**2 + 0*j**2)*(7*j - 70 + 70). -28*j**3 Expand (2 - 3 - 2)*(3 + 5 - 6 - 7*j) + 0*j + 0*j - j. 20*j - 6 Expand (-1 + 2*q**3 + 1)*(2 + 2*q**2 + 3*q**2 - 1). 10*q**5 + 2*q**3 Expand -2*r**5 + r**5 + 0*r**5 + (-r + 2*r**3 + r)*(-7*r**2 + 3*r**2 - 4*r**2). -17*r**5 Expand ((1 - s - 1)*(-2 + 3 + 1) - 2*s - 3*s + 4*s + s - s - 2*s - s + 0*s + 3*s + 3*s - 2*s + 0*s - 4*s + 6 - 6)*(1 - 3*s - 1). 18*s**2 Expand (-31 - 2*t + 31)*(-3*t**2 + 2*t**4 + 3*t**2 + (t + 3*t - 3*t)*(2*t**3 + 3*t**3 - 6*t**3)). -2*t**5 Expand (-3 + 4 + 0)*((5*c + 3*c**3 - 5*c)*(-5*c**2 + c - c) - c**5 + 4*c**3 - 4*c**3). -16*c**5 Expand (-2 + 2 - 2*t)*(-3 - 1 + 5) + 4*t - 2*t - 3*t. -3*t Expand -6*k + 6*k - k + 2 + 2*k - 2 + (1 - 1 - 2)*(0*k - 2*k + k) + 2 + 2*k - 2 + (-2*k + k + 2*k)*(-5 + 3 + 1) - 4 + 4 - 3*k + 1 - 1 + 2*k. 3*k Expand (4*y**2 - 6*y**2 + y**2)*(-4*y**2 - 16 + 16). 4*y**4 Expand (0*u - 2*u + 0*u)*(u + 3*u - 3*u) + 9*u**2 + 3*u**2 + 4*u**2 + 1 - u**2 - 1. 13*u**2 Expand ((-1 - 1 + 7)*(4*s + 0*s - 3*s) + 0 + 0 - s)*(-13*s - 1 + 8*s + 6*s). 4*s**2 - 4*s Expand g**2 - 35*g + 35*g - 3 + (-3*g + 2 - 2)*(2*g + 3*g - g). -11*g**2 - 3 Expand -6*k + 4*k + 0*k - 2*k + 6*k + 2*k + (-1 + 1 + 1)*(2*k + k - 2*k) + 0*k + 2*k - 4*k. 3*k Expand 39*v - 39*v + 3*v**5 + (0 + 1 - 2)*(-v**3 - 3*v**5 + v**3). 6*v**5 Expand -m**5 + 2*m**5 + m**5 + (2*m**5 + 2*m**5 + 2*m**5)*(3 - 6 + 1) - 3*m**5 - 3*m**5 + 7*m**5. -9*m**5 Expand (-3*s**3 + 4*s**3 + 9*s**3)*(-13 - 12 + 2). -230*s**3 Expand (-1 - 1 - 1)*(3 + w**2 - 1 - 4*w**2). 9*w**2 - 6 Expand (2*r + 0 + 0)*(-2 - 1 + 1) + 5*r - r - 2*r + (1 - 2 + 2)*(3*r - 10*r + 0*r). -9*r Expand (1 - 1 + 2*o)*(o - 5*o + 0*o) - 5*o**2 + 2*o**2 + 5*o**2 + o - o + 3*o**2. -3*o**2 Expand (-j + 2*j - 4*j)*(4*j**2 - 3*j + 0*j + 2*j). -12*j**3 + 3*j**2 Expand (0*g - 2*g - g)*(0*g + 8*g + g) + (4*g - 3*g - 3*g)*(2*g + 4 - 4) + 3 - 2*g**2 - 3. -33*g**2 Expand (3*t + t - 2*t)*(3 + 5*t - 3 + (0 + 4 - 2)*(3*t - 5*t - t)). -2*t**2 Expand (2 + 2*p**2 - 2)*((1 - 2 + 3)*(-p**2 - p**2 + 4*p**2) + 4 + 2*p - 4 + 3*p**2). 14*p**4 + 4*p**3 Expand (x - x - x + (2 + 1 - 1)*(4 - 4 - 2*x) + 5*x - 4*x + 0*x + 4*x - 3*x + 0*x - 3 + x + 3 + 2*x - 4*x + x)*(2*x - x - 2*x)*(3*x + 0*x + 4*x). 21*x**3 Expand 2*b - 2*b - b**2 + (-6 + 0 + 4)*(2*b**2 + 3*b**2 - 2*b**2). -7*b**2 Expand -m**3 + m**4 - m**4 - 4*m**5 + 0*m**3 + 0*m**3 - m**5 + (5*m**3 - 3*m**3 - 3*m**3)*(-1 + 1 - 2*m**2) - 4*m**5 - 3*m**5 + 5*m**5. -5*m**5 - m**3 Expand -6*k + 3*k + k - 3*k - 2*k - k + (-5*k - 2*k + 5*k)*(1 + 2 - 5). -4*k Expand (-d - d + 0*d + (-3 + 3 + 2*d)*(0 - 3 - 2))*(-4*d + 2*d + 3*d). -12*d**2 Expand -k + 2*k + 2*k - k - 4 + 4 + (4 + 1 - 3)*(2*k - 1 + 1) - 2 + 2 - 2*k. 4*k Expand 0*v**2 + v**4 + 0*v**2 + (1 - 1 + 2*v**3)*(0 + 0 - 2*v) - v**2 + v**4 + v**2 - 8*v**4 + v**4 + v**4. -8*v**4 Expand (-1 + 0 + 2 + 2*p)*(-2*p**2 - 10 + 10). -4*p**3 - 2*p**2 Expand (-1 + 0 + 4)*(-2*t**5 + t**5 + 3*t**5) + 0*t**5 - 6*t**5 + 4*t**5 + t**5 + 0*t**5 + 2*t**5. 7*t**5 Expand (0 + 2 + 2*v + 0)*(0 + 2 - 4). -4*v - 4 Expand (-2*o**4 + 0*o**4 - 2*o**4)*(2 + 1 - 1)*(0*o + 4*o + 5*o). -72*o**5 Expand (2 - 1 + 1)*(-3*a**5 + 2*a**5 - 3*a**5) + 3*a**5 - 2*a**5 + a**5. -6*a**5 Expand (-6*y**2 - y**2 - 16*y**2)*(-y + 0 + 0 + y + 1 - 1 - 2*y - 5*y + 5*y + (-4 - 2 + 4)*(-y + 0*y + 2*y) - 2 + y + 2). 69*y**3 Expand -5*b - 4*b + 4*b + ((2 - 3 + 3)*(3*b - b + 0*b) - b - 4*b + 6*b + b + 0*b + b)*(-1 + 2 - 3). -19*b Expand (0 + 0 + 2*p)*((2 + 1 - 4 + (4 - 2 - 3)*(2 + 3 - 3))*(64 - 64 + 8*p**2) + 0*p**2 + 4*p**2 + 0*p**2). -40*p**3 Expand (-4 + 5 + 2)*(56*r - 14 + 12 + 4). 168*r + 6 Expand (c + 0*c + 0*c)*(-3*c**3 + c**3 + 0*c**3) - 3*c**4 + 1 - 1 + (3 - 3 - 2*c**2)*(c**2 + 2*c**2 - 2*c**2). -7*c**4 Expand (-5*f + 0*f + 3*f)*(-6*f + 6*f - 4*f**3) - f**4 - 3*f**4 + 2*f**4. 6*f**4 Expand (3 - 1 - 4)*(-2*g**2 + 3*g**2 + 2*g**2)*(g + 6*g - g). -36*g**3 Expand -z + 4*z - z + 2 - 2 - z + z + 0*z + 0*z + (0 - 1 + 3)*(0*z + 4*z - 2*z) + 0 + 0 + 2*z + 3*z + 2*z + 7*z. 20*z Expand ((2*q - 2*q**3 - 2*q)*(2*q**2 + 0 + 0) - 13*q + 13*q + 13*q**5)*(0 + 0 + 1). 9*q**5 Expand (4*s - 4 + 4)*(83 - 8*s - 83). -32*s**2 Expand (-7*m - 3*m - 2*m)*(2*m**2 + 3*m**2 - 3*m**2) + m**3 + 0*m**3 - 2*m**3 - 4 + 4 - 2*m**3. -27*m**3 Expand 301*v**4 - 289*v**4 - 132*v**4 + (3*v**2 - 2*v**2 + 0*v**2)*(-2*v**2 - 1 + 1). -122*v**4 Expand (-4*h**2 - 2*h**2 - 3*h**2)*(-2*h**3 + 2*h**3 + h**3 + (0*h + 0*h - 2*h**2)*(2 - 2 + 2*h) - 2*h**3 + 0*h**3 + 4*h**3). 9*h**5 Expand 2 + p - 2 + (-2 + 4 - 3)*(0*p + 3*p - 2*p) + 2 - 2 - p + 3*p + 0 + 2 - 5*p. -3*p + 2 Expand (-n + 1 - 1)*(-8 + 12 - n - 6). n**2 + 2*n Expand (0 + 1 + 4)*(2*j**4 + 5 - 5) + (4*j**2 + 0*j**2 - 2*j**2)*(j**2 + 0*j**2 + j**2). 14*j**4 Expand (-6 + 4 + 1)*(6 + 6*g - 6)*(4 - 3 - 5). 24*g Expand (-2*p - 13*p + 2*p)*(-1 - 1 - 1)*(5 - 3 - 4). -78*p Expand (-6*i**2 - i - 2*i + 8*i**2)*(3 - i - 3)*(3 - 5 - 5). 14*i**3 - 21*i**2 Expand -4*q**4 + 6*q - 6*q + 3 + 2*q**4 - 3 + (2*q**3 + q**3 - 5*q**3)*(3*q + 3*q - 3*q). -8*q**4 Expand (-4 - 2*y**2 + 4)*(-6 + 4*y**3 + 6). -8*y**5 Expand (12*p**3 - 3*p**3 + 3*p**3)*(-4*p + 5*p + p) + 2*p**4 + 0*p**4 + 2*p**4. 28*p**4 Expand (2*r**3 - 3*r**2 + 2*r**3 - 2*r**3)*(-3 + 3 - 3). -6*r**3 + 9*r**2 Expand (4 - l**2 - 4)*(0 + 0 - 2*l**3) + (l**2 - l**2 - 3*l**2)*(-5*l**3 + 2*l**3 + 2*l**3). 5*l**5 Expand (0 - 1 + 0 - m)*(5*m**3 + 0*m**3 - 3*m**3). -2*m**4 - 2*m**3 Expand (8*u - 3*u - 2*u)*(2*u**3 + 2*u**3 - 5*u**3 + (-4*u**3 + 3*u**3 - u**3)*(0 + 1 - 2)). 3*u**4 Expand (-3 + 12 - 6)*(1 + a - 1)*(0 + a + 0). 3*a**2 Expand (5*n - n - 2*n)*(1 + 0 + 1 + (1 + 6 - 5)*(1 + 4 - 2) + 0 + 1 + 0)*(-4*n**2 + 3*n**2 + 3*n**2). 36*n**3 Expand 0*z + z**2 + 0*z + (2*z + 4 - 4)*(4 - 1 - 5)*(-3*z + z + 0*z) + 3*z + 5*z**2 - 3*z. 14*z**2 Expand ((1 + 2 - 4)*(-3*h + 0*h + h) - 5 - h + 5)*(0*h**2 + 6*h**2 + 0*h**2). 6*h**3 Expand (1 + 16*r - 6*r - 9*r)*(0*r**4 + r**4 - 3*r**4). -2*r**5 - 2*r**4 Expand -2*v - 2*v**2 + 5*v + 0*v + (0 + 2 + 8)*(-3*v + 3*v - 2*v**2). -22*v**2 + 3*v Expand (0 + 3 + 2)*(4*y + 0*y - 3*y)*(3*y - 4*y - y). -10*y**2 Expand (2*p**3 - 2*p**3 + 2*p**3)*(-3*p + 3*p - p**2) + 3*p**4 - 3*p**4 + p**5 - p**2 + 3*p**5 + p**2. 2*p**5 Expand (2 - 6 + 1)*(-1 + 1 - 2*x)*(-2*x**2 - 2 + 2). -12*x**3 Expand (-3*x + 8*x + 4*x)*(2*x**3 + 2*x**3 - 3*x**3). 9*x**4 Expand (-3*x - 32 + 32)*(2*x**2 - x**2 - 3*x**2) - 3 + 3 - 2*x**3. 4*x**3 Expand (-2*s - 2*s + 2*s + (2*s + 2*s - 6*s)*(1 - 5 + 5) + 1 + s - 1)*(-6*s + 0*s + 4*s). 6*s**2 Expand 4*m**3 + m - m + (-m - m + 0*m)*(2*m**2 - 2*m + 2*m) - 18*m - 16*m**3 + 18*m. -16*m**3 Expand -x**5 + 3*x**5 + 0*x**5 + (0*x**3 - 2*x**3 - x**3)*(3*x**2 - 6*x**2 - 3*x**2 + (-x - x + x)*(-5*x + x + 3*x)). 17*x**5 Expand 3*o**5 - 2*o**5 - 2*o**5 - o**5 + 6*o**5 + 0*o**5 + (2*o**3 - 5*o**3 + 5*o**3)*(o - o + o**2). 6*o**5 Expand (5*w**2 - 5*w**3 - 5*w**2)*(1 - 3*w - 1 + (0 - 2 + 4)*(-w + w - 2*w) + 0*w - w + 0*w). 40*w**4 Expand (5*p - p - 9*p)*(-2*p + p**2 + 2*p) + 0 + p**3 + 0 + (0*p**2 + p**2 + p**2)*(2*p - 1 + 1) - 2*p**3 - 2*p**3 + 3*p**3. -p**3 Expand (0 + 1 - 2)*(-364*d + 364*d - 2*d**5 - 1 + 3*d**3). 2*d**5 - 3*d**3 + 1 Expand 2*o**2 + 2*o**2 - 5*o**2 + (0*o - 5*o + 3*o)*(-4*o + 6*o - 3*o) + 0*o**2 + 3*o**2 - o**2 + o - o - 2*o**2 - 4*o**2 + 3*o**2 + 4*o**2. 4*o**2 Expand -2*r + 17 - 17 + (0 - 6 + 3)*(-r + 0*r + 2*r) + (1 - 1 - 2*r)*(-6 + 4 + 0). -r Expand (0*h - h + 2*h - 3*h - h + h + (-h - 1 + 1)*(-3 + 1 + 1) + 0 - h + 0)*(-2 - 2 + 3). 2*h Expand 1 + 2*j - 1 + (-3*j - 3*j + 5*j)*(5 - 2 - 5). 4*j Expand (3 + 2 - 4 + (-1 + 6 - 3)*(0 + 2 - 1) - 1 - 2 + 4)*(-6 + 1 + 0)*(0 + 0 + 2*y). -40*y Expand (-2*m**2 - 2*m**2 + 3*m**2)*((-m + 5*m - 3*m)*(0 + 3 - 1) - 3*m - 3 + 3) - 4*m**3 + 4*m**3 + 4*m**3. 5*m**3 Expand (d**3 + 2*d**3 + d**3)*(-5 + 1 + 7*d + 2). 28*d**4 - 8*d**3 Expand (9 + 0 - 3)*(4 - 2 - 3)*(3*n - 2*n + n). -12*n Expand (1 - 1 + t)*(0*t - t - 2*t) + 0*t**2 + 0*t**2 + t**2. -2*t**2 Expand (-10 - 4*o + 10 + (0 + 3 - 4)*(-3 + 3 + 2*o))*(2*o - 3*o + 2*o). -6*o**2 Expand ((0 + 3 - 4)*(0 - 3 + 2) + (4 - 1 - 4)*(-1 + 2 + 1) - 3 + 1 - 2)*(1
{ "pile_set_name": "DM Mathematics" }
.3 a Which is the smallest value? (a) -3 (b) -1/3 (c) -0.347 (d) 5 a What is the smallest value in -0.0296, -0.8, -2/5, 4, 5? -0.8 What is the second smallest value in 0.4, 4, 356, 12? 4 What is the fourth biggest value in -0.5, 6, 1/6, 1/22? -0.5 What is the second smallest value in -0.7, 0, 0.087? 0 What is the smallest value in 3, -0.1, -7, 1/5? -7 Which is the smallest value? (a) -2/41 (b) 8 (c) 0.5 a Which is the smallest value? (a) 0.52 (b) -6 (c) 0.3 b Which is the biggest value? (a) -1/2 (b) -1/3 (c) 1/62 (d) 4/7 d Which is the third biggest value? (a) 4 (b) 0.51 (c) -0.1 (d) -4 (e) 0.2 e Which is the third smallest value? (a) -11 (b) 4 (c) -5 (d) -0.4 d Which is the fourth smallest value? (a) 7/4 (b) 4 (c) 1 (d) -7 b What is the biggest value in 1.8, 2, -1.7, -2? 2 What is the second biggest value in 2, -1/5, 1? 1 What is the biggest value in 1/4, 36, -71? 36 What is the smallest value in -1/8, 2/35, 1, 2/3? -1/8 What is the biggest value in -2, -0.194, 2? 2 What is the third smallest value in -25, 0.3, -1/6, -3? -1/6 Which is the fourth biggest value? (a) 3 (b) 11 (c) -0.01 (d) -0.3 (e) 1/2 c What is the third smallest value in 0.5, -2, 2, -0.1? 0.5 Which is the second biggest value? (a) 0.1 (b) -4 (c) -17 (d) -1 d What is the biggest value in -3, 0, -3/4, -0.011, -2/3? 0 Which is the smallest value? (a) -11408 (b) 3/2 (c) 5 a What is the smallest value in 0, 3, -2/13, 3/5? -2/13 What is the second smallest value in -18/11, -5/4, -48? -18/11 Which is the second biggest value? (a) -0.2 (b) 4 (c) -6 (d) 6 (e) 5 e Which is the biggest value? (a) -33 (b) -0.3 (c) -1/3 (d) -2/3 b Which is the second smallest value? (a) 5 (b) -0.4 (c) 2 (d) -0.046 d What is the third smallest value in -0.09, 0.15, 1/2? 1/2 Which is the second smallest value? (a) 1 (b) 0.3 (c) 100 (d) -2 b What is the fourth smallest value in 1.43, 0.5, 0, 3, -5? 1.43 What is the third smallest value in -83, -14, 3? 3 Which is the fourth biggest value? (a) -3/2 (b) 5 (c) 0.09 (d) -0.2 (e) 4 d What is the biggest value in 0.77, 1/2, 0.2? 0.77 What is the biggest value in 6, 467/6, -2? 467/6 What is the third biggest value in -123, -1/3, 3? -123 What is the biggest value in 2, 0.3, -33, -2/13? 2 Which is the second biggest value? (a) 0.2 (b) 4 (c) -3/4 (d) 20 (e) 3 b What is the third smallest value in 2/7, 4, -20, 0.3, 1/3? 0.3 Which is the third biggest value? (a) -0.1 (b) -276 (c) -1 b Which is the third biggest value? (a) 0 (b) 2/3 (c) -0.1 (d) -1/57 d What is the third biggest value in 0.4, -1/6, -0.4, 510, -1/7? -1/7 What is the biggest value in -4, -2, -3/320? -3/320 What is the smallest value in 0.3, -1/65, -0.05? -0.05 What is the second biggest value in 1/6, 1.6, 5? 1.6 Which is the smallest value? (a) 0.1 (b) 4/3 (c) 0.2 (d) 3/43 d Which is the fourth smallest value? (a) 3/2 (b) 5 (c) 3 (d) 0 (e) -2/121 c Which is the third biggest value? (a) -2/5 (b) 2/41 (c) 1/13 (d) -2/3 (e) -0.5 a Which is the second biggest value? (a) 7 (b) -2/7 (c) -0.4 b What is the second biggest value in 1/40, 0, -0.3, 0.2? 1/40 Which is the biggest value? (a) 0.4 (b) -1 (c) 87 (d) -8 c Which is the biggest value? (a) 51 (b) 9 (c) -4 (d) -0.4 a What is the smallest value in 5, -1, -11.3, 0? -11.3 What is the second biggest value in 22, -0.2, 1/44, 0.05, 5? 5 Which is the smallest value? (a) -1.8 (b) 4 (c) 0.4 a Which is the second smallest value? (a) 25 (b) -6 (c) 5 (d) -1 d Which is the second biggest value? (a) -85 (b) 5 (c) 2 c What is the smallest value in 0.2, 4, 0.1, -13/4, 1/4? -13/4 Which is the third biggest value? (a) -7 (b) 0.02 (c) 1/4 (d) 4 b What is the second biggest value in -2/7, -1, 0, 5? 0 Which is the fourth biggest value? (a) 0 (b) -8 (c) -1 (d) -5/4 (e) -0.129 d What is the third biggest value in -3/2, 3, 3/2, -0.2, -0.6? -0.2 What is the biggest value in -0.5, -4, -3, -103? -0.5 What is the smallest value in 0.4, 5, 22/7, 0? 0 What is the smallest value in -16, -9, 3, -1? -16 Which is the smallest value? (a) -6/5 (b) -4 (c) -1 (d) 0.2 b Which is the fourth biggest value? (a) 0.03 (b) 0 (c) 0.1 (d) -5 d Which is the third smallest value? (a) -11 (b) -0.02 (c) -0.1 b What is the fourth smallest value in 54, 1/6, 0.06, -1/5? 54 Which is the second biggest value? (a) -18/23 (b) 7/3 (c) 4 b What is the fifth smallest value in 74, -0.5, 7, 0, -0.4? 74 Which is the biggest value? (a) -1/5 (b) 1195 (c) 4/5 b Which is the second smallest value? (a) 0.3 (b) 2 (c) 2/13 a Which is the fifth smallest value? (a) 4 (b) -4 (c) 11 (d) -3/16 (e) -0.4 c What is the biggest value in -0.4, 1002, 3, -1? 1002 Which is the third biggest value? (a) 4/11 (b) 0 (c) -6 c What is the second smallest value in -10/9, 26, 0.5? 0.5 What is the biggest value in 0, -0.4, 2, 65, -2? 65 Which is the second smallest value? (a) 3 (b) -1/3 (c) 6 (d) 0.02 d What is the second biggest value in 4, 2/17, 6.1? 4 Which is the second smallest value? (a) 6 (b) -0.2 (c) -4/7 (d) 10 b Which is the fourth biggest value? (a) -5 (b) 4 (c) -1 (d) -2 a Which is the fourth biggest value? (a) -1 (b) -0.5 (c) -2 (d) 3 c What is the smallest value in 3, 2/7, 0? 0 Which is the second biggest value? (a) -4 (b) 3/2 (c) 0.043 c Which is the biggest value? (a) 0.3 (b) 84 (c) -1 b Which is the third biggest value? (a) 4 (b) 0.0422 (c) 0.2 b What is the smallest value in 1/7, -18/61, 2, -1/3? -1/3 Which is the second biggest value? (a) -6 (b) -1 (c) -2/497 b Which is the biggest value? (a) -0.5 (b) -0.07 (c) 39 c What is the second biggest value in -0.7, 2/3, 10, -2/13? 2/3 Which is the fourth biggest value? (a) 2/15 (b) 2 (c) -2 (d) -294 (e) -5 e Which is the biggest value? (a) 1/6 (b) -1 (c) -1/5 (d) 5/2 (e) -2 d What is the biggest value in -4, 1/4, 19? 19 Which is the second biggest value? (a) 0.314 (b) 2/9 (c) -0.2 (d) 4 a Which is the second smallest value? (a) -2 (b) -22 (c) 1/18 (d) -0.3 (e) 4 a Which is the second biggest value? (a) -3 (b) -23 (c) -5 (d) 3 a What is the biggest value in 0.15, 4, 1? 4 Which is the biggest value? (a) 18 (b) -2/7 (c) -1/4 (d) -4/3 (e) 0.5 a Which is the smallest value? (a) -154 (b) -0.03 (c) -0.01 a Which is the third smallest value? (a) -1 (b) 5 (c) -2 (d) 0 d Which is the smallest value? (a) -9 (b) 0.5 (c) 7 (d) -3 a What is the fifth smallest value in 0.4, -0.1, -5, 1/2, 37? 37 What is the second biggest value in -4, 1, 0.4, 97? 1 What is the third smallest value in 0.1, -4, 19, -3/10? 0.1 Which is the second biggest value? (a) 2/3 (b) 1/4 (c) 2/13 (d) -3/44 (e) 3 a Which is the fourth biggest value? (a) 1/2 (b) -0.18 (c) 2/11 (d) 0.15 (e) 1 d What is the second biggest value in 2/5, 271, -1, -3? 2/5 Which is the biggest value? (a) 2/1037 (b) -0.4 (c) -1/4 a Which is the third smallest value? (a) -2/5 (b) 26.4 (c) 1 b Which is the second smallest value? (a) -42/11 (b) 1 (c) -1 (d) 4 c What is the second biggest value in -3, -0.3, 2, 473? 2 Which is the fifth smallest value? (a) 4 (b) -4 (c) 0.2 (d) 2 (e) 1/51 a What is the third smallest value in 5, -0.7, 1/5, 0? 1/5 What is the third smallest value in -7/3, 1/2, -1? 1/2 Which is the third biggest value? (a) -17 (b) 5 (c) -0.12 (d) 3/5 c What is the biggest value in 0.2, 0, -7/9? 0.2 What is the third biggest value in 9, -0.2, 2/7, 2? 2/7 What is the second smallest value in -3, 2535, 2/5, -1/10? -1/10 What is the fourth biggest value in 0, -0.007, -1/6, 0.01? -1/6 What is the second biggest value in -1/12, -24/11, 2.5? -1/12 Which is the third smallest value? (a) -1/2 (b) -2/9 (c) 51 c What is the third smallest value in 1, -6, -0.5? 1 What is the third smallest value in -0.1, -3.09, 2, -2? -0.1 Which is the fifth smallest value? (a) 1 (b) 2 (c) -22 (d) 1/2 (e) -1 b What is the biggest value in 0.4, 7/5, 4/3, -5? 7/5 Which is the biggest value? (a) -511 (b) -3/7 (c) 2/13 c What is the smallest value in -0.1, -601, -2/9? -601 Which is the biggest value? (a) 5 (b) -3 (c) -1/5 a What is the second biggest value in -1/3, 10, -0.12, -1/5? -0.12 Which is the third biggest value? (a) -4
{ "pile_set_name": "DM Mathematics" }
et b(q) = 5*l(q) - 6*t(q). Suppose 15 = 3*x - 0. Determine b(x). 5 Let v(t) = -12*t - 12 - 24*t**2 + 33*t**2 + 0 + t**3. Calculate v(-10). 8 Let o(n) = -2*n - 2. Let j be o(-2). Let y(m) = -4 + 3*m - 9*m + m + m**j. Calculate y(5). -4 Suppose 25 = l - 4*c, -l + 6*l - 41 = -c. Let i(o) = -2*o + 9. Give i(l). -9 Let m(q) = 2*q + 12. Let w(s) = -s**3 - 22*s**2 - 107*s - 34. Let x be w(-15). Calculate m(x). 4 Let p(o) = 10*o**2. Let s(g) = -4*g**2 - 31*g + 46. Let d be s(-9). Determine p(d). 10 Let t(d) = d - 6. Suppose -2*c = 14 - 22. Determine t(c). -2 Let u(t) = 18 - 16 - t - 12 + 2*t - 3. Give u(7). -6 Let l = -3 + -1. Let r(n) be the first derivative of -2*n**2 - 3*n - 11. Give r(l). 13 Let w be 18/162 - 490/(-45). Let p(g) = -3*g + 25. What is p(w)? -8 Let b(g) = -6 - 4*g - g + 8 + 3*g. Calculate b(5). -8 Let k(b) = -5*b + 4*b**2 - 3 - b**2 - 6*b**2. Let t(m) = m - 4 - m - 2*m**2 - 5*m. Let y(i) = 3*k(i) - 4*t(i). Calculate y(6). 1 Let f = 137 - 193. Let y be (f/70)/((-1)/(-5)). Let h(p) = p**2 + 4*p + 3. Let d be h(y). Let i(l) = 2*l**2 - 3*l - 2. Give i(d). 7 Let z(d) = 2*d - 33. Let w(j) = -2*j + 34. Let f(o) = -8*w(o) - 9*z(o). What is f(10)? 5 Let q(n) = -n**3 + 3*n**2 + 30*n + 2. Let k(h) = h**3 - 4*h**2 - 20*h - 2. Let u(p) = -3*k(p) - 2*q(p). Let v be -1*1 - (-1 - 6). What is u(v)? 2 Suppose 4*s - 2*s - 2*t + 18 = 0, 5*t + 5 = 0. Let z = 12 + 0. Let w = s + z. Let f(y) = y**3 + y**2 + 2*y - 1. Give f(w). 15 Let i = -239 + 239. Let a(c) = c + 7. Calculate a(i). 7 Suppose -3*m + 24*i = 19*i + 9, i - 1 = m. Let w(h) = -3*h**3 - 2*h**2 + 3*h - 3. Calculate w(m). -29 Let g = -59 - -29. Let c be (-400)/32*(2 - 3)*2. Let x = c + g. Let t(p) = -p**2 - 5*p - 7. Calculate t(x). -7 Let b(t) = 3*t**2 + 7*t + 12. Let h(q) = 4*q**2 + 7*q + 16. Let u(m) = -3*b(m) + 2*h(m). Give u(-4). 8 Let c(z) = -z**2 + 3*z + 4. Suppose 5*h - 26 = 24. Let p(b) = b**2 - 12*b + 24. Let m be p(h). Determine c(m). 0 Let y(s) = s**3 + s + 12. Let j be 0/(3*-1)*(28 + -29). What is y(j)? 12 Let o(i) = -6*i**2 + i - 1. Suppose 5*j - 84 - 46 = 0. Suppose -8*m - 5*x - 20 = -3*m, 5*x = m - j. Calculate o(m). -6 Let y(d) = -12*d + 36. Let v(l) = -6*l + 21. Let h(g) = -5*v(g) + 3*y(g). What is h(5)? -27 Let o = 453 + -462. Let h(k) = -k**3 - 10*k**2 - 9*k + 4. Give h(o). 4 Let v be ((-6)/(-9) + 3)/(10/(-30)). Let c(f) = -f**2 - 12*f - 9. Calculate c(v). 2 Let d(h) be the first derivative of -3*h**4/4 + h**2 - h - 2. Suppose 2*z + 7*z = 9. Determine d(z). -2 Let q = 482 - 479. Let x(i) = i**3 - 2*i**2 - 3. Calculate x(q). 6 Suppose -k - 3*h = -20, -15*h + 20*h - 15 = 0. Let n(w) = w**2 - 9*w - 5. Give n(k). 17 Let c(q) = 6*q**2 - 259*q + 252*q + 4*q**3 - 5*q**3. What is c(4)? 4 Let r(l) = l**2 + 3*l - 3. Let p = 3 + -1. Suppose 0 = n - p + 6. Let y be r(n). Let q(t) = 4*t**3 + t - 1. Give q(y). 4 Let n(m) = -3*m**2 - 17*m - 13. Let l(d) = -8*d**2 - 36*d - 27. Let r(s) = 2*l(s) - 5*n(s). What is r(12)? 23 Let u = 12 - 11. Let c be 203/14 + u/(-2). Suppose -c = 2*v - 2. Let k(a) = -a**3 - 7*a**2 - 7*a - 3. Determine k(v). 3 Let y(p) = -7*p - 25. Let v(l) = 2*l + 9. Let a(h) = -17*v(h) - 6*y(h). Determine a(2). 13 Let c(q) = -q**2 + 4*q + 5. Let b(w) = w**2 + 2*w + 3. Let s be b(-4). Suppose -35 = 4*k - s*k. Determine c(k). 0 Let f = 34 + -21. Suppose r - f = -5*u, 3*r = 3*u - 0 + 3. Let x(l) = -1 + 11 + u*l - 5. What is x(4)? 13 Let f = -29 - -22. Let b(d) = 3*d**3 + 11*d**2 - 4*d + 21. Let q(t) = -t**3 - 4*t**2 + t - 7. Let v(k) = f*q(k) - 2*b(k). Give v(-6). 1 Let b = -162 - -184. Let f(m) = 2*m - 50. Determine f(b). -6 Let s(j) = j**2 - 2*j + 3. Let l be (7 - 9) + (4 - 0). Suppose -l*i - 3 = -7. Give s(i). 3 Let i(h) = -17*h + 18*h - 7 + 4. Determine i(3). 0 Let i = -1198 + 1201. Let s(f) = 3*f - 1. Determine s(i). 8 Let d = 10 - 9. Let g = 3 - d. Let h(j) = -j**3 - 8*j**2 + 3*j**2 + 4 + 3*j**g. Give h(-3). 13 Suppose -2*q - 546 = -3*x, 0*x = -4*x - 3*q + 711. Let d(l) = 371*l - 1 - 180*l - x*l. What is d(2)? 21 Let n(x) = -x**2 + 2*x + 4. Let q be (-3)/6*-2 - -2. Suppose 0 = p - 3, u - 20 = q*p - 4*p. Let g = u - 14. Determine n(g). 1 Let t(n) = 2*n + 5. Suppose -5*o + 35 = -5*u, 0 = 2*o - 5*o - 5*u + 13. Let z = -2 - -7. Let h be (o/z)/((-3)/15). What is t(h)? -7 Let f(r) be the first derivative of -r**5/10 + r**4/6 + 2*r**3/3 - r**2/2 + r - 19. Let q(u) be the first derivative of f(u). Determine q(3). -25 Suppose -152 = -14*a + 2. Suppose a*o = -26 + 4. Let d(q) = -q**3 - q**2 - 2. Give d(o). 2 Let m(v) = 18*v + 46. Let f be m(-3). Let k(y) = -y**3 - 7*y**2 + 12*y + 2. What is k(f)? -30 Let w(c) = -5*c**2 + 2*c - 3. Let n(o) = 12*o**2 - 7*o + 6. Let d(m) = 3*n(m) + 7*w(m). Calculate d(7). -3 Let v(x) = -x**3 - 7*x**2 + 7*x - 9. Let y be v(-8). Let s(k) = -26*k - 2. Let h be s(y). Let m be (-6)/(-4) - h/16. Let w(c) = c**2 - c - 5. Determine w(m). -5 Let i(t) = t**3 - 3*t**2 - 4*t + 4. Let v be i(4). Suppose -3*c - 21 = -6*c. Let h(s) = -s**2 - 4 - 3 + v*s + c + 1. Give h(5). -4 Let c(u) = u**2 - 3. Let j = 425 - 421. Determine c(j). 13 Let i(r) be the second derivative of -r**3/3 - 5*r**2/2 - 156*r. Calculate i(-7). 9 Let z(i) = 4*i - 1. Let k = 2 - -19. Let h be ((k/2)/(-7))/(6/(-20)). Calculate z(h). 19 Let q(l) = -5*l**3 - 5*l**2 - 7 + 3*l**3 + 3*l**3. Determine q(5). -7 Let o(g) be the third derivative of -1/3*g**3 + 0 + 1/24*g**4 - 8*g**2 + 0*g. Let x = 1 - -1. What is o(x)? 0 Suppose 0*b = 4*b. Let v be b + 0 - 4/2. Let a(r) be the second derivative of r**3/3 + 3*r**2/2 - 410*r. What is a(v)? -1 Let l(j) = 14*j + 10. Let k(u) = u + 1. Let b(i) = -10*k(i) + l(i). What is b(-3)? -12 Let n(z) = z**2 + 7*z - 7. Let d = 90 - 36. Suppose 6*g = -0 - d. Determine n(g). 11 Let v(w) = -2*w - 2 + 4 - 4 + 5*w + w**2. What is v(-3)? -2 Let c(s) be the third derivative of s**6/120 - s**5/10 + s**4/4 - 2*s**2. Let j(o) = 6*o**2 - 31*o + 9. Let a be j(5). Determine c(a). -8 Suppose -5*m + 2*m = -21. Let h(i) be the first derivative of i**2 - 6*i + 6. What is h(m)? 8 Suppose -4*i + 20 = i - 5*q, -4*i + 5*q = -11. Let c(t) = -1 - 4*t + t + i*t - t. Calculate c(3). 14 Let c(k) = 9 + 4 - 3*k + 2 - 13 + 8. Give c(3). 1 Let s = 769/2298 + -1/766. Let m(w) be the third derivative of -3*w**2 + 0 + s*w**3 + 0*w + 1/12*w**5 + 1/120*w**6 - 1/12*w**4. Give m(-5). 12 Let n(j) = j + 6. Let r be n(-15). Let o(y) = -y**2 + 13*y + 7. Let c(g) = 6*g**2 - 67*g - 37. Let a(z) = -2*c(z) - 11*o(z). Calculate a(r). -3 Suppose -2*g = -25 - 5. Let v(m) = -m**2 + 16*m - 14. Let d be v(g). Let c(o) be the second derivative of -17*o**3/6 + o**2/2 + o. Calculate c(d). -16 Let g(v) = -v + v + v - 9*v - 2. Determine g(-4). 30 Let u be (-5)/10 + (-10)/4. Let g(j) = 3*j**3 - 3*j**2 - j + 2. Let v(k) = 6*k**3 - 7*k**2 - 2*k + 5. Let c(t) = u*v(t) + 7*g(t). Determine c(-1). -3 Suppose -v + 1 = -17. Suppose 0 = -0*h + 2*h - v. Let t(p) = p + 1 + 2*p**2 + p + h*p**3 - 4*p. Determine t(1). 10 Suppose -5*b - 6*b = -33. Let g(c) = b + c + 8 - 3 + 0. Calculate g(0). 8 Let z(f) = -f**2 + 7*f + 3. Let q(g) = 2*g**2 - 9*g - 4. Let y(t) = 2*q(t) + 3*z(t). What is y(-5)? 11 Let c(m) = m - 3. Let f be (-3)/((-26)/(-9) - 3). Let r = -22 + f. Determine c(r). 2 Let w(p) = -5*p - 7 + 1 + 7*p - p - 3*p**2 - 1. Calculate w(5). -77 Let l(t) = -8*t + 10 - 14 + 5*t**3 - 2*t**3 - 7*t**2 - 4*t**3. Determine l(-6). 8 Let g(x) = -x - 4. Let z be g(-7). Suppose i = -z*w + 4*i + 27, -31 = -3*w - i. Let o be (4/w)/((-15)/150). Let t(f) = -f**2 - 3*f - 3. Determine t(o). -7 Let y(a) = 21 - 6*a**2 - 2*a - a**3 - 17 + 2*a**2. Suppose 3*x - 18 = 12. Let k be (-12)/30 - 36/x. Give y(k). 12 Suppose -22 = 25*n - 172. Let l(c) = -c**2 + 3*c + 5. Determine l(n). -13 Let o(k) = -16 + 0*k + 12 + k. Let l = -18 + 18. What is o(l)? -4 Let c = -20 + 22. Suppose -d + 4*o + c = 1, 0 = 3*d + 3*o - 18. Let h(j) be the second derivative of -j**3/6 - 3*j**2/2 + 3*j. Calculate h(d). -8 Let m(x) = -2*x**2 + 6*x. Let a be m(4). Let c(v) = -56*v - 3. Let y(p) = 9*p - 1. Let r(w) = -c(w) - 6*y(w). Determine r(a). -7 Suppose 4 = -13*k + 12*k. Let g(j) = 5*j**3 - 10*j**2 + j - 8. Let h(c) = -c**3 + c**2 + 1. Let u(r) = g(r) + 6*h(r). What is u(k)? -6 Let h(f) be the third derivative of -f**4/12 + 4*f**3/3 - 51*f**2. Determine h(6). -4 Let g(c) = 749*c + 7 - 373*c -
{ "pile_set_name": "DM Mathematics" }
9 What is the next term in 241015, 241007, 240997, 240985, 240971, 240955? 240937 What is next in 269, 2235, 7581, 17999, 35181, 60819, 96605, 144231? 205389 What is the next term in -2945, -11778, -26495, -47096? -73581 What is the next term in 5385, 5374, 5341, 5274, 5161, 4990, 4749, 4426? 4009 What is next in 215, -379, -973? -1567 What comes next: 23286, 23287, 23288? 23289 What comes next: -104735, -209470, -314205, -418940, -523675? -628410 What comes next: -93, -160, -327, -642, -1153, -1908, -2955? -4342 What comes next: 9728, 19455, 29182, 38909, 48636? 58363 What is the next term in 1276, 1254, 1212, 1144, 1044? 906 What comes next: -2602, -10308, -23150, -41128, -64242? -92492 What comes next: -1009, -1980, -2903, -3760, -4533, -5204, -5755, -6168? -6425 What comes next: -801, -3130, -7007, -12432, -19405, -27926? -37995 What is next in 1380, 2590, 3800? 5010 What comes next: -22943, -45878, -68813, -91748, -114683, -137618? -160553 What is the next term in 3304, 3301, 3302, 3313, 3340, 3389, 3466, 3577? 3728 What is the next term in 9154, 18296, 27444, 36598? 45758 What is the next term in -35, -379, -1329, -3191, -6271, -10875? -17309 What is next in -377, -378, -379? -380 What comes next: -8411, -16821, -25231? -33641 What is the next term in -5566, -11139, -16712, -22285? -27858 What is the next term in 96, 274, 452? 630 What is the next term in -339, -1318, -2945, -5214, -8119? -11654 What comes next: -4553, -18181, -40897, -72701, -113593, -163573, -222641? -290797 What comes next: -6377, -6362, -6333, -6290? -6233 What is the next term in 1018, 909, 608, 19, -954, -2407, -4436, -7137? -10606 What comes next: -16307, -17437, -18569, -19703, -20839, -21977? -23117 What is the next term in -42228, -42214, -42186, -42138, -42064, -41958, -41814, -41626? -41388 What is the next term in -1377607, -1377610, -1377613, -1377616, -1377619? -1377622 What comes next: -169, -321, -485, -667, -873, -1109, -1381, -1695? -2057 What comes next: -31012, -31017, -31026, -31039? -31056 What is next in -105, 25, 167, 327, 511, 725, 975? 1267 What is next in -313, -1287, -2907, -5167, -8061, -11583? -15727 What comes next: -65, -136, -231, -362, -541, -780, -1091, -1486? -1977 What is the next term in 413008, 413004, 412998, 412990, 412980, 412968, 412954? 412938 What is next in 9752, 9886, 10008, 10112, 10192, 10242? 10256 What comes next: -1295, -1612, -1929, -2246? -2563 What comes next: -433041, -433039, -433035, -433029, -433021? -433011 What is next in 2137, 16899, 56921, 134833, 263265, 454847, 722209, 1077981? 1534793 What is next in -1635, -4708, -9823, -16974, -26155, -37360? -50583 What is next in -7234, -14524, -21920, -29476, -37246? -45284 What comes next: -321, -1885, -6137, -14421, -28081, -48461? -76905 What comes next: -627, -2977, -6891, -12363, -19387, -27957, -38067, -49711? -62883 What comes next: 6039, 12090, 18149, 24222, 30315, 36434? 42585 What is the next term in -469, -4097, -13943, -33115, -64721, -111869? -177667 What is next in -72, -315, -708, -1245, -1920, -2727, -3660, -4713? -5880 What is the next term in -333, -2624, -8815, -20856, -40697? -70288 What is next in 5405, 10834, 16263? 21692 What comes next: 4528, 4493, 4458, 4423, 4388? 4353 What is the next term in 55, 80, -99, -662, -1789? -3660 What is the next term in -1331570, -2663142, -3994714, -5326286? -6657858 What is next in 206, 394, 534, 602, 574? 426 What is the next term in 12277, 24495, 36713? 48931 What comes next: 11, 7, -7, -31, -65? -109 What is the next term in 2052, 2059, 2054, 2025, 1960, 1847? 1674 What comes next: -18139, -36433, -54725, -73015, -91303? -109589 What is the next term in -491, -208, 73, 352, 629, 904? 1177 What is the next term in -436, -463, -532, -667, -892, -1231, -1708? -2347 What is the next term in -7289, -14582, -21875, -29168? -36461 What is next in -1288, -2635, -3982, -5329? -6676 What is next in -2734, -2696, -2602, -2428, -2150, -1744, -1186, -452? 482 What comes next: -19035, -19056, -19077? -19098 What is the next term in -3588, -5558, -7528? -9498 What comes next: -5819, -5799, -5779, -5759? -5739 What comes next: -97884, -195770, -293656, -391542? -489428 What comes next: -29210, -58445, -87692, -116957, -146246, -175565, -204920? -234317 What comes next: 6249, 11963, 17677, 23391, 29105, 34819? 40533 What is next in -116, -242, -412, -626, -884, -1186, -1532? -1922 What is the next term in 40, 85, 156, 265, 424, 645? 940 What comes next: -27328, -54657, -81984, -109309, -136632, -163953? -191272 What comes next: -39886, -40028, -40180, -40348, -40538, -40756, -41008, -41300? -41638 What comes next: -26080, -26088, -26096, -26104, -26112, -26120? -26128 What comes next: -48, -50, -40, -18? 16 What is the next term in -55136, -110363, -165590, -220817? -276044 What is the next term in 11794, 11780, 11762, 11740, 11714, 11684? 11650 What is next in -2217, -2214, -2211, -2208, -2205, -2202? -2199 What comes next: -3370, -4134, -5408, -7192, -9486, -12290, -15604? -19428 What is the next term in 3016, 3026, 3054, 3106, 3188, 3306, 3466, 3674? 3936 What is next in 94612, 189299, 283986, 378673? 473360 What is the next term in 993, 1041, 1091, 1149, 1221? 1313 What is the next term in 64192, 64191, 64190, 64189, 64188? 64187 What comes next: 5040, 9916, 14798, 19692, 24604? 29540 What comes next: -8798, -35186, -79164, -140732, -219890, -316638, -430976? -562904 What is next in 356, 789, 1236, 1697, 2172, 2661, 3164? 3681 What is the next term in -166, 119, 594, 1259? 2114 What comes next: 96, 292, 688, 1332, 2272, 3556, 5232, 7348? 9952 What comes next: 1278, 1161, 1044, 927? 810 What is the next term in -101, -284, -595, -1040, -1625, -2356, -3239, -4280? -5485 What comes next: 4006, 4009, 4012, 4015, 4018? 4021 What comes next: -8124, -16311, -24496, -32679, -40860, -49039, -57216? -65391 What comes next: 2783, 5539, 8281, 11003, 13699, 16363, 18989, 21571? 24103 What is the next term in -856, -1783, -2720, -3673, -4648, -5651, -6688? -7765 What comes next: -25745, -25769, -25793? -25817 What is next in -3203, -3495, -3787? -4079 What is next in -11104, -11093, -11078, -11059, -11036? -11009 What comes next: 1038, 701, -190, -1911, -4738, -8947, -14814, -22615? -32626 What is the next term in 945, 1954, 2977, 4020, 5089, 6190, 7329? 8512 What is the next term in -32464, -64913, -97344, -129757, -162152? -194529 What is the next term in 1051, 948, 783, 562, 291? -24 What is the next term in -351449, -702896, -1054343, -1405790, -1757237, -2108684? -2460131 What is the next term in -161, -190, -253, -362, -529? -766 What is the next term in 2399, 2344, 2275, 2186, 2071, 1924, 1739? 1510 What is the next term in 40701, 40702, 40703, 40704, 40705? 40706 What is next in 1081, 4379, 9893, 17623, 27569? 39731 What is the next term in 49235, 98471, 147707, 196943? 246179 What is the next term in 362, 730, 1098, 1466, 1834? 2202 What comes next: -200, -178, -144, -98, -40, 30, 112? 206 What comes next: -1388, -1421, -1500, -1649, -1892, -2253, -2756, -3425? -4284 What comes next: -694, -1060, -1426, -1792? -2158 What comes next: -784, -869, -1012, -1213, -1472? -1789 What comes next: 2720, 5442, 8164, 10886? 13608 What is next in -387, -576, -563, -348, 69, 688, 1509? 2532 What is next in 52, 248, 606, 1150, 1904, 2892, 4138, 5666? 7500 What is next in -18586, -37164, -55744, -74326? -92910 What is the next term in -460, -1779, -3956, -6985, -10860, -15575, -21124? -27501 What is next in -12538, -25025, -37512? -49999 What is the next term in 211, 270, 367, 502, 675, 886? 1135 What is next in -363, -807, -1337, -1953, -2655, -3443, -4317? -5277 What is next in 396, 365, 320, 267, 212, 161, 120, 95? 92 What is the next term in 45, 287, 779, 1593, 2801? 4475 What is next in -681, -681, -685, -693, -705, -721? -741 What is next in -973861, -1947732, -2921615, -3895516, -4869441, -5843396, -6817387, -7791420? -8765501 What is the next term in 47, 80, 163, 320, 575, 952, 1475, 2168? 3055 What is next in 3006, 2990, 2956, 2898, 2810, 2686, 2520? 2306 What comes next: -49429, -49437, -49445, -49453? -49461 What comes next: 96827, 193655, 290483, 387311, 484139? 580967 What is next in -10, -80, -206, -406, -698, -1100, -163
{ "pile_set_name": "DM Mathematics" }
What is r in -2*r**3/5 + 24*r**2 + 1226*r/5 + 1104/5 = 0? -8, -1, 69 Find f, given that -12*f**5 - 28*f**4 + 312*f**3 + 768*f**2 - 640*f = 0. -4, 0, 2/3, 5 Factor 35*z**2 - 375*z - 110. 5*(z - 11)*(7*z + 2) Determine h so that -2*h**4 + 60*h**3 - 414*h**2 + 756*h = 0. 0, 3, 6, 21 Factor -p**2 + 70*p/3 + 16. -(p - 24)*(3*p + 2)/3 Determine g so that 78*g**2/7 - 54*g - 60/7 = 0. -2/13, 5 Factor 6650*m**3 - 3130*m**2 + 2336*m/19 - 24/19. 2*(7*m - 3)*(95*m - 2)**2/19 Factor -2*y**5 + 32*y**4 - 176*y**3 + 384*y**2 - 288*y. -2*y*(y - 6)**2*(y - 2)**2 Solve -3*l**4 + 1362*l**3 - 166359*l**2 + 2672244*l - 11548332 = 0 for l. 9, 218 Factor 7*o**3/6 - 17*o**2/2 + 28*o/3 - 2. (o - 6)*(o - 1)*(7*o - 2)/6 Factor 4*l**3 + 60*l**2 - 1684*l - 1740. 4*(l - 15)*(l + 1)*(l + 29) Factor -o**5/7 - 24*o**4/7 - 66*o**3/7 - 64*o**2/7 - 3*o. -o*(o + 1)**3*(o + 21)/7 Factor 2*q**3/13 - 22*q**2/13 - 2*q/13 + 22/13. 2*(q - 11)*(q - 1)*(q + 1)/13 Let -t**3/2 - 236*t**2 - 941*t/2 - 235 = 0. Calculate t. -470, -1 Suppose 2*u**5/9 + 4*u**4 + 116*u**3/9 + 16*u**2/3 - 118*u/9 - 28/3 = 0. What is u? -14, -3, -1, 1 Determine r, given that -6*r**5 + 15*r**4 - 12*r**3 + 3*r**2 = 0. 0, 1/2, 1 Suppose -3*t**4/2 - 1617*t**3 + 6477*t**2/2 - 1620*t = 0. What is t? -1080, 0, 1 Let -36*k**5 + 674*k**4 + 212*k**3 - 422*k**2 + 76*k = 0. What is k? -1, 0, 2/9, 1/2, 19 Factor -3*r**2/5 + 9*r. -3*r*(r - 15)/5 Determine m, given that -3*m**2 - 1101*m - 1098 = 0. -366, -1 Solve -3*p**5 - 12*p**4 + 156*p**3 - 240*p**2 = 0 for p. -10, 0, 2, 4 Factor -5*c**3 + 90*c**2 + 425*c + 330. -5*(c - 22)*(c + 1)*(c + 3) Suppose 21*s**3/2 - 660*s**2 + 1113*s/2 + 93 = 0. Calculate s. -1/7, 1, 62 Factor 5*s**3 - 100*s**2 + 585*s - 810. 5*(s - 9)**2*(s - 2) Suppose 2*t**5/5 - 4*t**4/5 - 82*t**3/5 + 84*t**2/5 = 0. Calculate t. -6, 0, 1, 7 Factor -t**3 + 21*t**2. -t**2*(t - 21) Find w, given that 8*w**4 - 10*w**3 - 24*w**2 + 46*w - 20 = 0. -2, 1, 5/4 Factor 2*r**4/7 + 16*r**3/7 + 10*r**2/7 - 4*r. 2*r*(r - 1)*(r + 2)*(r + 7)/7 Suppose -k**2 + 71*k + 72 = 0. Calculate k. -1, 72 Solve 2*x**3 + 118*x**2 - 244*x = 0 for x. -61, 0, 2 Factor -x**4/5 + 11*x**3/5 - 9*x**2/5 - 119*x/5 - 98/5. -(x - 7)**2*(x + 1)*(x + 2)/5 Factor -2*m**4 + 164*m**3 - 1362*m**2 + 3544*m - 2920. -2*(m - 73)*(m - 5)*(m - 2)**2 Let 5*o**5 + 50*o**4 + 120*o**3 + 110*o**2 + 35*o = 0. Calculate o. -7, -1, 0 Factor -2*p**2 - 46*p - 84. -2*(p + 2)*(p + 21) Factor 2*l**4/3 + 24*l**3 + 260*l**2 + 1352*l/3 - 4394. 2*(l - 3)*(l + 13)**3/3 Factor 14*q**2/5 - 26*q/5 + 12/5. 2*(q - 1)*(7*q - 6)/5 Factor -70*j**2 - 284*j - 16. -2*(j + 4)*(35*j + 2) Determine k so that 5*k**4/2 + 55*k**3/2 + 60*k**2 - 90*k = 0. -6, 0, 1 Factor -4*m**3 - 192*m**2 + 396*m - 200. -4*(m - 1)**2*(m + 50) Solve o**2 - 73*o + 210 = 0 for o. 3, 70 Factor -u**2/4 + 26*u - 676. -(u - 52)**2/4 Factor 2*k**3/3 - 18*k**2 - 126*k - 198. 2*(k - 33)*(k + 3)**2/3 Factor m**2/6 + 233*m/2 + 697/3. (m + 2)*(m + 697)/6 Factor m**5 + 11*m**4 + 18*m**3 - 130*m**2 - 275*m + 375. (m - 3)*(m - 1)*(m + 5)**3 Factor 2*i**2/3 - 22*i/3 - 52/3. 2*(i - 13)*(i + 2)/3 What is x in 2*x**4/13 - 32*x**3/13 + 126*x**2/13 - 184*x/13 + 88/13 = 0? 1, 2, 11 Let 6*c**2/5 - 11*c + 9/5 = 0. Calculate c. 1/6, 9 Let 5*b**3 - 80*b**2 + 260*b - 240 = 0. Calculate b. 2, 12 Factor 2*g**3 - 531*g**2 - 267*g + 266. (g - 266)*(g + 1)*(2*g - 1) Factor -u**3/8 + 5*u**2/8 - 7*u/8 + 3/8. -(u - 3)*(u - 1)**2/8 Let -h**5/7 + 20*h**4/7 + 12*h**3/7 - 160*h**2 - 448*h = 0. What is h? -4, 0, 14 Solve 76*o**3 - 60*o**2 - 136*o = 0 for o. -1, 0, 34/19 Solve 5*x**2 - 1610*x + 6360 = 0 for x. 4, 318 Factor 19*f**4 + 880*f**3 + 10327*f**2 + 3174*f. f*(f + 23)**2*(19*f + 6) Solve 3*j**5/2 + 93*j**4/2 + 933*j**3/2 + 2931*j**2/2 - 468*j - 1512 = 0 for j. -12, -7, -1, 1 Solve k**3/4 - 577*k**2/2 = 0 for k. 0, 1154 Solve 3*o**5/5 + 3*o**4/5 - 1527*o**3/5 - 14703*o**2/5 - 2028*o + 26364/5 = 0 for o. -13, -2, 1, 26 Factor 4*m**4 + 8*m**3 - 20*m**2 - 24*m. 4*m*(m - 2)*(m + 1)*(m + 3) Find c such that 5*c**2 - 240*c - 245 = 0. -1, 49 Suppose v**4/5 - 2*v**2 + 9/5 = 0. Calculate v. -3, -1, 1, 3 Find z such that -94559612*z**3/5 + 988428*z**2/5 - 3444*z/5 + 4/5 = 0. 1/287 Factor -a**3/8 + 33*a**2/4 - 129*a/8 + 8. -(a - 64)*(a - 1)**2/8 What is a in -3*a**2 + 213*a - 612 = 0? 3, 68 What is y in -y**3/6 - 7*y**2/3 + 31*y/6 - 8/3 = 0? -16, 1 Factor t**2/3 - 16*t - 100/3. (t - 50)*(t + 2)/3 Factor 2*p**2/5 + 4*p/5 - 6/5. 2*(p - 1)*(p + 3)/5 Factor -4*a**3 - 2516*a**2 - 389276*a + 2009780. -4*(a - 5)*(a + 317)**2 Factor 2*l**3/11 - 48*l**2/11. 2*l**2*(l - 24)/11 Suppose 16*o**5 + 132*o**4 + 134*o**3 - 50*o**2 - 54*o + 14 = 0. Calculate o. -7, -1, 1/4, 1/2 Let c**4/8 + c**3/8 - 33*c**2/8 + 59*c/8 - 7/2 = 0. Calculate c. -7, 1, 4 Let -3*z**2/2 - 105*z - 204 = 0. Calculate z. -68, -2 Factor -i**2/5 - 4862*i/5 - 5909761/5. -(i + 2431)**2/5 Let 35*j**5 - 235*j**4 - 350*j**3 + 3700*j**2 - 3960*j - 1440 = 0. What is j? -4, -2/7, 2, 3, 6 Find l, given that l**5/7 - 153*l**4/7 - 90*l**3 + 302*l**2/7 + 1893*l/7 - 1413/7 = 0. -3, 1, 157 Find r, given that r**5/2 + 5*r**4/6 - 25*r**3/6 + 5*r**2/2 + 5*r/3 - 4/3 = 0. -4, -2/3, 1 Determine i, given that i**4 + 4*i**3 + 5*i**2 + 2*i = 0. -2, -1, 0 Suppose h**3/7 + 50*h**2/7 - 212*h/7 + 216/7 = 0. Calculate h. -54, 2 Find t, given that t**3/10 + 7*t**2/10 + t = 0. -5, -2, 0 Factor -3*l**2 - 171*l - 330. -3*(l + 2)*(l + 55) Let -5*q**2 + 30*q - 40 = 0. What is q? 2, 4 Factor 4*p**4 + 64*p**3 + 248*p**2 + 320*p + 132. 4*(p + 1)**2*(p + 3)*(p + 11) Find n, given that -n**3/2 + 37*n**2/2 - 231*n/2 - 2205/2 = 0. -5, 21 Factor -z**3/2 - 90*z**2. -z**2*(z + 180)/2 Factor j**4/2 + 7*j**3/2 - 3*j**2/2 - 23*j/2 - 7. (j - 2)*(j + 1)**2*(j + 7)/2 Find z, given that z**2/6 - 7*z/3 + 13/6 = 0. 1, 13 Factor -8*v**5 + 100*v**4 + 103*v**3/2 + 13*v**2/2. -v**2*(v - 13)*(4*v + 1)**2/2 Determine a so that -3*a**5 + 521*a**4 - 22005*a**3 - 53329*a**2 - 38544*a - 7744 = 0. -1, -1/3, 88 Determine c, given that c**2 - 104*c - 212 = 0. -2, 106 Factor -c**4 - 1293*c**3. -c**3*(c + 1293) Solve -3*a**3 - 6570*a**2 - 3603636*a - 7181016 = 0. -1094, -2 Factor 3*j**2 - 120*j - 252. 3*(j - 42)*(j + 2) Factor 3*a**3/8 + 45*a**2/8. 3*a**2*(a + 15)/8 Solve 3*z**2 + 36*z + 60 = 0 for z. -10, -2 Suppose 6*g**5 + 23*g**4 + 71*g**3/3 + 4*g**2/3 - 4*g = 0. Calculate g. -2, -3/2, -2/3, 0, 1/3 Factor -44*z**3/3 - 56*z**2 + 32*z/3. -4*z*(z + 4)*(11*z - 2)/3 Factor 2*g**2/3 + 4*g. 2*g*(g + 6)/3 Determine a, given that -3*a**4/8 - 4827*a**3/8 - 323811*a**2 - 58069704*a - 57746496 = 0. -536, -1 Suppose 5*a**4 + 965*a**3 - 4910*a**2 + 7900*a - 3960 = 0. What is a? -198, 1, 2 Factor p**5/5 - 6*p**4/5 - 7*p**3/5. p**3*(p - 7)*(p + 1)/5 Factor 3*x**4 + 12*x**3 - 63*x**2. 3*x**2*(x - 3)*(x + 7) Suppose 50*j**3 - 3910*j**2 - 3152*j - 632 = 0. Calculate j. -2/5, 79 Solve 3*g**4/8 + 531*g**3/8 = 0 for g. -177, 0 What is y in 3*y**5 - 18*y**4 + 12*y**3 + 18*y**2 - 15*y = 0? -1, 0, 1, 5 Find g such that g**4 + 28*g**3 + 278*g**2 + 1148*g + 1617 = 0. -11, -7, -3 Let -3*h**3/5 - 6*h**2/5 + 9*h/5 = 0. Calculate h. -3, 0, 1 Determine j so that -5*j**2 - 60*j - 175 = 0. -7, -5 Solve -n**2 + 522*n - 68121 = 0. 261 Solve -j**3/7 - j**2/7 + 4*j/7 + 4/7 = 0 for j. -2, -1, 2 Suppose -2*g**4 - 10*g**3 - 16*g**2 - 8*g = 0. What is g? -2, -1, 0 Solve 4*w**5 - 72*w**4 + 240*w**3 + 800*w**2 = 0. -2, 0, 10 Factor -2*i**5/5 - 16*i**4 - 78*i**3/5. -2*i**3*(i + 1)*(i + 39)/5 Factor -2*u**2 - 18*u + 20. -2*(u - 1)*(u + 10) Let -m**4/3 + 97*m**3/3 + 100*m**2/3 - 196*m/3 = 0. What is m? -2, 0, 1, 98 Factor 5*w**4 + 75*w**3 - 80*w**2. 5*w**2*(w - 1)*(w + 16) Factor 963*u**2/4 + 1686*u + 21/4. 3*(u + 7)*(321*u + 1)/4 Factor -3*x**3 + 237*x**2 - 4560*x - 4800. -3*(x - 40)**2*(x + 1) Let -m**5/2 + 16*m**4 - 109*m**3 - 340*m**2 + 867*m/2 = 0. Calculate m. -3, 0, 1, 17 Solve -2*y**5/5 - 14*y**4/5 - 18*y**3/5 + 38*y**2/5 + 44*y/5 - 48/5 = 0 for y. -4, -3, -2, 1 Factor -2*n**5/9 - 2*n**4/3 - 2*n**3/3 - 2*n**2/9. -2*n**2*(n + 1)**3/9 Let 5*v**5 + 185*v**4 + 2550*v**3 + 15500*v**2 + 35000*v = 0. What is v? -10, -7, 0 Factor -2*w**5 - 104*w**4 - 1928*w**3 - 14720*w**2 - 38912*w - 32768. -2*(w + 2)**2*(w + 16)**3 Determine n so that n**3 + 6*n**2 + 8*n = 0. -4, -2, 0 Solve 5*i**5 + 65*i**4 + 155*i**3 + 35*i*
{ "pile_set_name": "DM Mathematics" }
scending order. -18, n, s Let u = 1070.88 - 1114. Let r = u - -38. Let p = r - -0.12. Sort p, 1, -0.5 in ascending order. p, -0.5, 1 Let w = 2.034 - 0.114. Let j = w + -0.92. Sort j, -9, -2 in ascending order. -9, -2, j Let x = -2 - -3. Let h be (-3)/x*6/30. Let a = -14.4 - -14. Put h, a, -3/7 in descending order. a, -3/7, h Suppose 11 = -6*p + 71. Sort 4, -2, 1, p in ascending order. -2, 1, 4, p Suppose -1937 = 16*s - 289. Let x = s - -106. Sort 2, -5, x in descending order. x, 2, -5 Let t = -4 - -4. Let p be 3 + -2 + 2 + t. Suppose u = -2*u - p*c + 6, 0 = -2*c. Put u, -5, 1 in increasing order. -5, 1, u Let g = 202 + -205. Sort -5, 3, g in decreasing order. 3, g, -5 Suppose 225*k - 48 = 241*k. Let b be (-1)/(-1) + (-6)/4. Sort b, 1/4, k in ascending order. k, b, 1/4 Let u = 0 - -3. Suppose 3*b = u + 3. Let o(h) = -h**2 + h + 2. Let q be o(b). Sort -4, q, 2 in descending order. 2, q, -4 Let y be (1/2)/(1/10). Suppose 6*k + 9 = 9*k. Suppose -8*x - 5 = -k*x. Sort y, x, -5. -5, x, y Let h = -830 + 779.31. Let r = h + 51. Let l = 0.09 + r. Sort 4, l, -0.1 in increasing order. -0.1, l, 4 Suppose 5*c + 91*q = 92*q - 214, 2*c + 64 = -5*q. Sort 5, c, 1. c, 1, 5 Let b = -22.2 - -27.2. Sort b, 4/17, 2/5 in decreasing order. b, 2/5, 4/17 Let a(m) = m**3 - 22*m**2 + 38*m + 42. Let q be a(20). Sort -30, q, 5. -30, q, 5 Let u(c) = -7*c**2 - 3*c + 2. Let k(f) = f**2 - 1. Let d(n) = -4*k(n) - u(n). Let s be d(-1). Sort 4, -5, s, -3 in descending order. 4, s, -3, -5 Let b = 0.202 + 0.098. Put b, -1/13, -3/2, -0.2 in increasing order. -3/2, -0.2, -1/13, b Let s = 5288 + -5526.1. Let v = s + 228. Let f = -10 - v. Sort f, 4, -1/6 in increasing order. -1/6, f, 4 Let w = 1.99 + 0.01. Suppose -6*c + 54 = -0*c. Let g be 12/c*(-3)/(-18). Sort 4, g, w in increasing order. g, w, 4 Let w be (0 - 4/(-6))*-3. Suppose -15 = -4*o - 7. Let u = -57 - -56. Put u, w, o in ascending order. w, u, o Let h = 12 - 8.5. Let p = 4 - h. Let a(b) = -b**3 + 36*b**2 - 9. Let m be a(36). Sort 4, p, m in ascending order. m, p, 4 Let k = -0.4 + 0.46. Put -2, 1, k in descending order. 1, k, -2 Let n be (-17)/(-42) - (-3)/(21/(-4)). Sort 1/2, n, 8, -3/2 in increasing order. -3/2, n, 1/2, 8 Suppose -3*y + 3*t - 1 - 11 = 0, 0 = 3*y + t. Put -3/2, -5, 5, y in decreasing order. 5, y, -3/2, -5 Let s be (-1 + 4)*40/(-72)*3. Sort s, 1, -1, 2 in increasing order. s, -1, 1, 2 Let p = 41/24 + -13/8. Let h = 403/1020 - -1/204. Sort h, -16, p in descending order. h, p, -16 Let d be ((-44)/(-14))/(-11 + 546/49). Put d, -5, -2 in decreasing order. d, -2, -5 Let w be (3 + 32/(-11))*(-1 + 2). Put w, 0.4, -2/9, -0.5 in ascending order. -0.5, -2/9, w, 0.4 Let k = 1.1 + -1. Suppose -3*s = 3*n + 2*s - 114, 3*s = -9. Let c = -133/3 + n. Put -2, k, c in descending order. k, c, -2 Let l = 971 - 967. Sort -4, 2, 0, l in descending order. l, 2, 0, -4 Suppose -41*j + 64 + 18 = 0. Let m be (-24)/(-14) + (-4)/(-14). Let n be (0/m - 1) + 2. Sort j, n, 0. 0, n, j Let o = -15.2 + 19.2. Sort 23/6, -9, -1, o. -9, -1, 23/6, o Let p = -1/40 + -77/120. Let g = -322 + 201. Let z = g + 117. Put 4, p, z in descending order. 4, p, z Let l(a) = 409*a - 401*a + a**2 + 14 + 4. Let b be l(-6). Sort 0, b, -1 in descending order. b, 0, -1 Let n be 2/((-16)/36 + 213/54). Let j = -3 - -35/11. Put n, -4/5, 0.1, j in ascending order. -4/5, 0.1, j, n Let j = 191 - 195. Put -3, 3, j in descending order. 3, -3, j Let r(p) = -p**3 - 3*p**2 + 6*p + 3. Let t be r(-4). Sort 2, -11, t, -4 in ascending order. -11, t, -4, 2 Let t be (-2)/20 + (-5 - 2358/20). Put -1/5, t, 1 in ascending order. t, -1/5, 1 Let p = -1884 - -1883. Put 6, -7, p in increasing order. -7, p, 6 Let b(c) = -8*c**2 - 9*c - 3. Let k be b(3). Let y be (-2 + k/(-52))*(-12)/(-39). Sort 2, y, 0.2 in decreasing order. 2, 0.2, y Let f be 2628/54 + 2/6. Sort f, 1, -1, 5 in descending order. f, 5, 1, -1 Let m be 7/4*(14 + -16). Let l = 4 + m. Let t be ((-4)/(-6) + -1)*-3. Sort 2/13, t, l in increasing order. 2/13, l, t Let k = 3 - 1. Let o = 5.2 - 1.2. Let r be (3 - 5) + 13/6. Put k, r, o in decreasing order. o, k, r Let j(z) = -3*z + 41. Let h be j(13). Suppose 4*g - 5*p = -g - 15, h*p = -g. Put g, 5, 3 in ascending order. g, 3, 5 Suppose 2*y + 0 - 4 = 0. Suppose -2*b = -b + y. Let v = -402 - -405. Put b, -4, v in increasing order. -4, b, v Let g be (-14 - -15)*(-1)/43*2. Let s = -29/301 + g. Sort -5, -3, s in descending order. s, -3, -5 Let o = -0.284 + 0.034. Let l = o + -0.75. Sort l, -17, -3/4. -17, l, -3/4 Let w = 539 + -401. Sort 0.5, 5, w in descending order. w, 5, 0.5 Suppose 4 = -2*i - 2*q, 0*i + 2*i = -4*q - 12. Sort -0.15, 0.4, i. -0.15, 0.4, i Let q = -16956/301 + 394/7. Sort q, 0.4, 5 in descending order. 5, 0.4, q Let x = -6.98 + 5.98. Put 0, x, 1, 0.02 in increasing order. x, 0, 0.02, 1 Suppose 5*h + 27 = -23. Let r be (6 - 7)/((-2)/h). Let q be (5/4)/(8/32). Put 1, q, r in increasing order. r, 1, q Let h(q) = q**2 + 6*q - 11. Let g be h(-7). Sort g, 4, -1, -2 in descending order. 4, -1, -2, g Let h = -1.96 + 2. Let y = 0.36 + h. Let s = -91.7 + 92. Put y, 1/4, s in descending order. y, s, 1/4 Let f be 76/16 + (-1)/(-4). Suppose -f*i = -21 + 6. Let o = 643 + -647. Sort o, i, 1. o, 1, i Suppose 0 = 25*f + 5*f + 60. Let j = 3 + -2.9. Let m be (-2)/(-8) + (-3)/6. Put j, f, m in descending order. j, m, f Suppose 86 = -12*p + 14. Sort 12, -2, 1, p in decreasing order. 12, 1, -2, p Let q be (0 - -4) + (-1 - -2). Let x = -14 - -10. Let f be 2 + -4*x/16. Sort -3, q, f in decreasing order. q, f, -3 Let c be 3*3/((-1377)/(-6)). Let i = -0.989 - -3.989. Sort i, -1, c in ascending order. -1, c, i Suppose 9*d = 42*d - 132. Put 6, -15, d in descending order. 6, d, -15 Let a = 230.2 + -230. Put a, 0.9, 2/17 in decreasing order. 0.9, a, 2/17 Let l(y) = -y**3 - 3*y**2 - 9*y + 16. Let c be l(-6). Let n = c - 178. Let i = -2 + 5. Sort i, n, 1. n, 1, i Let t = 1640/13 - 126. Let d = 1.2 + -0.9. Sort d, 2/7, t in ascending order. t, 2/7, d Let i be 2 + ((-24)/10 - (-22)/22). Let n be 5/(-4)*(2 + 2). Let v(j) = -j - 1. Let t be v(n). Sort t, 0, i. 0, i, t Let i = 59 + -61. Sort -107, i, 2 in ascending order. -107, i, 2 Let s = -1.38 - -0.98. Let a = -58 - -752/13. Put s, 1.2, a in ascending order. s, a, 1.2 Let w = 518 + -358. Let r = w + -137.1. Let g = -23 + r. Sort -4, 1, g in increasing order. -4, g, 1 Let o = -2020 - -2016. Put 2/9, 1/7, o in ascending order. o, 1/7, 2/9 Let l = -25 + 7. Let x be 4/5 - l/40. Let r = -2 + 3/2. Put x, 0, r in increasing order. r, 0, x Let f = 46 - 44. Suppose -f*a - 11 = -g - 1, -a - 8 = -2*g. Sort a, 0, 1, -1 in descending order. 1, 0, -1, a Suppose -6*g = -2*g - 60. Let d be g/30 - (-1)/(-2). Let v = -8 + 17. Put d, 5, v in increasing order. d, 5, v Let l = 41 - 39. Let s = 42 - 41. Sort 0.1, l, s, 1/6 in descending order. l, s, 1/6, 0.1 Let q be 1*-2*(-88)/16. Let k = 15 - q. Let h(s) = s - 14. Let t be h(12). Put 5, t, k in descending order. 5, k, t Suppose -2*y = 17 - 15. Put -4, -13, 2, y in decreasing order. 2, y, -4, -13 Suppose 0*u + p = -4*u - 25, -4*u + 4*p = 0. Let v = -31 + 35. Suppose 5 + 0 = 5*b - 5*a, -3*b + v*a = -1. Sort b, 2, u in descending order. b, 2, u Let z be (10 + 0 + 2)*(-3)/(-2). Suppose u - 23 = -z. Put 3/5, 0.3, 1, u in ascending order. 0.3, 3/5, 1, u Suppose 22 = 2*w - 5*h, h + 2*h + 6 = 0. Let d be ((-4)/10)/(3/(-90)). Suppose -9 = 3*s - d. Put -4, w, s in ascending order. -4, s, w Let h(o) = -o**2 + 34*o - 260. Let k be h(12). Put -1, 1, k in descending order. k, 1, -1 Suppose -2*h = 3*s - 0*s - 159, -s = -4*h + 353. Let l be 1 - (2 + h/(-60)). Let j = l - -3/10. Put 4, 2, j in decreasing order. 4, 2, j Let y(k) = -2*k**3 + 6*k**2 + 8*k. Let u be y(4). Sort -3/8, 3/7, 0.2, u in descending order. 3/7, 0.2, u, -3/8 Let p = -0.15 - -0.04. Let j = -9.89 + p. Let r = -8 - j. Put r, -4, -1 in decreasing order. r, -1, -4 Let m be ((-2)/(-24))/(4*(-156)/(-32)). Let n = -199/8190 - m. Put n, 3, 0.3, -2/7 in increasing order. -2/7, n, 0.3, 3 Let j be 15/(-160)*2/(-3). Let h = 0.0903 + 4.9097. Sort -2/3, h, j in descending order. h, j, -2/3 Let h = 14.6 - 17. Let l = h + -7.6. Let o = l - -8. Put -3, o, 4 in decreasing order. 4, o, -3 Suppose -2*k - 5*k - 84 = 0. Let n = 11 + k. Sort 1, 3, n. n, 1, 3 Let a be (-1 - 22/(-4))/((-31)/5
{ "pile_set_name": "DM Mathematics" }
/7 Let u = -0.09 - 1.91. Let c = 2/7 + -20/21. Let s = -0.6 + 3.6. What is the closest to c in 5, u, s? u Let s be 0 - 1 - (-117)/123. Let a = s - 37/82. What is the nearest to a in -1, -0.2, 2? -0.2 Let w = 2.6 - 3. Let q = -4.07 - -0.07. Let k = -3.6 - q. Which is the closest to -1? (a) k (b) w (c) 1 b Let t = 5 - 4. Let p = 0.05 + -0.1. Let x = -0.35 + p. What is the nearest to t in x, 1/3, -0.2? 1/3 Let k = 34 - 38. Which is the closest to 3.8? (a) 1 (b) k (c) -1 a Let j = -6 + 8. Suppose -j*z = -z - 1. Which is the nearest to z? (a) -0.4 (b) -1 (c) 2 c Let p = 2.8 + -2.7. Let l = -12 - -7. What is the closest to p in 0.1, 1, l? 0.1 Let d = 4.6 + -5. Let x(o) = o**3 - 7*o**2 + 6*o - 2. Let q be x(6). Suppose -s - 1 = -5. Which is the closest to q? (a) s (b) -2/9 (c) d c Suppose 0*q - 2*q = -6. Suppose -q*f + 0*f = -21. Let x be -1 + -2 + 1 + f. What is the closest to 1/4 in -0.5, x, 0.4? 0.4 Let x be (2/(-25))/((-1)/(-5)). Let f be ((-2)/(-7))/((-8)/(-7)). Let n = -0.1 - 0.4. Which is the nearest to f? (a) 4 (b) n (c) x c Let p = 4 + -4. Let v = 5 - 0. Suppose 2*g - t + 4 = v, 0 = -4*g - 5*t - 5. What is the closest to g in p, 2, 5? p Let y = -42 - -37.8. Let u = 11 + -15. Let n = y - u. Which is the nearest to -0.1? (a) 4 (b) n (c) 2 b Let w = 0.37 + 0.03. Let t = -0.6 + 0.1. Let s = -0.5 + t. What is the nearest to s in 0.1, w, -4? 0.1 Let y = -0.3 + 0.4. Let g = y - -0.9. Let z = 0.08 - -0.92. What is the nearest to g in 0, 5, z? z Let c = 2.3 - 1.3. What is the nearest to c in -0.1, 0.2, -2? 0.2 Suppose -4*a + 20 = 0, 0*a = -u - 2*a + 25. Suppose u + 10 = 5*f. Let s = -0.05 + 2.05. What is the nearest to 0.1 in f, 3, s? s Let b be 4/(-14) + (-96)/56. Let a be (b/15)/(2/(-3)). What is the nearest to a in -0.2, 2/13, -4? 2/13 Let t be (-14)/8 - (-3 - -1). Let f = 4 - 4. What is the nearest to -2 in -1/6, f, t? -1/6 Let q be 6/(-8)*6/(-45). What is the closest to -2/7 in 0, q, 4? 0 Let w = 763/604 - 2/151. Let f = w - 3/4. Which is the closest to f? (a) -4 (b) 0.5 (c) 1/10 b Let c = -148/3 - -49. What is the nearest to c in 0.5, 0.3, 2? 0.3 Let x = 1.92 - -21.18. Let n = x + -23. Which is the closest to n? (a) 1/5 (b) 0.3 (c) 1 a Let v = -7 + 10. Let d = -32.7 - -34. Let a = d - 0.3. What is the closest to a in 0, v, -5? 0 Let v = 71/28 + -16/7. Which is the nearest to v? (a) 1 (b) -4/7 (c) -1 a Let z = -7 - -2. Let v = z - 2. Let h = 7 + v. What is the nearest to h in 3/2, -2, 2/5? 2/5 Let l = -12 + 11. Which is the nearest to l? (a) 1 (b) 0 (c) -10 b Let p = 0.9 - 1. Let x = p + 0.1. Which is the closest to x? (a) -1/3 (b) 2/9 (c) -1 b Let g = -4 + 6. Let t = -66.6 + 67. Which is the nearest to g? (a) 5 (b) 1 (c) t b Let q(s) = -2*s - 2. Let m be q(-4). Let i be (-18)/10 - m/(-3). Let n = -4 - -6. What is the nearest to n in i, 2, 0.1? 2 Let b = -18 + 17.6. Let u = -0.08 + 0.1. Let i = u + 2.98. What is the closest to 2 in -0.5, i, b? i Let y = 0.35 - 0.05. Let p = 58 + -55. Let k = 0.4 - 0.1. Which is the nearest to y? (a) -5 (b) k (c) p b Let n be (-36)/(-21) - (5 + -3). What is the nearest to n in -6, -1/5, 0.2? -1/5 Let t = 122 + -121.9. What is the nearest to 0 in t, -0.22, -5? t Let y = -4 - 5. Let m = -13 - y. Let f = -5 - -8. Which is the closest to 0? (a) f (b) 2/3 (c) m b Let x = -1.33 + 1.33. Let i = 13 + -51/4. Let s = -7 - -11. What is the nearest to x in i, s, 0.4? i Suppose -2*k = -3*k - 1. Let l(g) = g**3 + 3*g**2 + g + 1. Let u be l(-3). Which is the nearest to -0.1? (a) u (b) -2/3 (c) k b Let s = -0.03 - 1.97. What is the closest to 1 in 0, s, 2/15? 2/15 Let h = -0.01 + 1.01. Let z = h + -1. What is the nearest to z in 2, 5, 4? 2 Let i be 3/(-3) - 2537/13. Let x = 196 + i. What is the nearest to -1 in x, -0.2, -1/3? -1/3 Let j = -0.2 + 0.7. Which is the nearest to -5/4? (a) j (b) -4 (c) 1 a Let q = -8.8 - -1.8. Let o = 6.4 + q. Let j = -3.6 - o. Which is the nearest to -2/7? (a) j (b) 5/4 (c) 4/3 b Let o = 0.5 + -0.5. Which is the closest to -2/5? (a) o (b) -0.2 (c) -3 b Let k(d) = d**3 - 2*d**2 - 7*d + 1. Let i be k(5). Let o be i/63 + 4/(-18). What is the nearest to 0.2 in o, 0.1, -1? 0.1 Let z = 1.9 - 9.9. Let l = -7.5 - z. Suppose -4*j - 2*x = -4*x + 12, 0 = 3*x + 12. What is the closest to -0.1 in j, l, -0.2? -0.2 Let z = -5 - -2. Let p be 3/(6/(-4))*-1. Let d = -0.9 + 0.7. What is the nearest to p in -0.3, z, d? d Let w = 532/45 + -58/5. Let x = -0.7 + -0.3. Let d = -245/44 + 75/11. Which is the closest to x? (a) w (b) -1/6 (c) d b Let i = 0.2 + -1.2. Let v = -1.8 - -2.4. Let x = v + i. Which is the closest to -1? (a) -1/2 (b) x (c) -2/3 c Let q = 5 + -9. Let f = -0.31 + -1.59. Let s = 0.9 + f. What is the nearest to s in 5, -3, q? -3 Let s be 8/6 - 8/360*78. Which is the nearest to 1? (a) 3 (b) 15 (c) s c Let d = -37 + 36. Let s be (-9)/(-15) - (0 + 1). Which is the nearest to s? (a) d (b) 0.3 (c) -2 a Let b be -9*33/(3 - 6). Let z be (-4)/b - 2/(-9). What is the closest to -1 in -4, z, -5? z Let q be 1 + (5/(-6) - 0). Let n = 302/51 + -112/17. What is the closest to n in -4, q, 0.2? q Let m = 5 + -3.3. Let v = m + 0.3. Which is the closest to v? (a) 0.2 (b) 2 (c) 1/4 b Suppose -3 - 5 = 4*m. Let d be (m/(-6))/(2/18). What is the closest to -2/5 in d, 3/4, -3? 3/4 Suppose 7 = -3*n + 16. Which is the closest to -3/4? (a) 3/7 (b) 0.3 (c) n b Let u = 137 - 143.3. Let l = u - -7. Let g = 0.6 - l. Which is the nearest to -0.1? (a) -2 (b) g (c) -3 b Let d be (9/(-90))/((-2)/5). What is the closest to -2 in d, 4/3, -2? -2 Let y = 0.12 + -5.12. Let q = 0.224 + -0.024. What is the nearest to q in y, 1/2, 2? 1/2 Let t = 0.8 + -0.6. Let w = t - 0.2. Let s = 1 + -0.7. Which is the nearest to w? (a) 0.5 (b) s (c) -0.4 b Let c(s) = s**2 - 1. Let d be c(-1). Let u = 1.037 + -0.037. What is the closest to -0.1 in d, 4, u? d Let c = -0.6 + 1. Let m = c + -5.4. Let r = -0.1 + 1.1. What is the closest to r in 1/3, m, 3? 1/3 Let p(y) be the third derivative of -y**6/120 + y**4/24 + 3*y**2. Let d be p(1). Suppose d*h - 4 = -4*h. What is the nearest to h in -0.5, 0.1, 2? 0.1 Let m = -10.3 + 10.5. Which is the closest to 1/8? (a) m (b) 2 (c) 2/25 c Let n(f) = 42*f**3 + 1. Let a be n(-1). Let s = -202/5 - a. What is the closest to 0.1 in s, -3, -4/7? s Let i = -2.4 - -2.3. Let v = 15.9 + -12. Let f = 4 - v. Which is the nearest to i? (a) f (b) 3 (c) 1/3 a Suppose 8 = -v + 21. Let m be 14/(-49) - v/(-21). Which is the closest to -0.1? (a) m (b) 0.5 (c) -1 a Let k = -3 - -2.9. Let j = 0.7 + -0.4. Let i = k - j. Which is the closest to 0.1? (a) -1 (b) i (c) 2/7 c Let v(u) = -u**3 + 6*u**2 + 7*u + 10. Let a be v(7). Let p be (a/(-25))/((-26)/10). What is the nearest to 0 in -0.3, p, -3? p Let q = 0.4 - 0.3. Which is the closest to q? (a) -2/5 (b) -0.01 (c) 1 b Let p be 3 + -2 + 10/14 + -2. Which is the closest to p? (a) -2 (b) 0.5 (c) -25 b Let c be 5 + (0 - 85/20). What is the nearest to -9 in 4, c, -2/13? -2/13 Let t be -1 - (0 + 1 + 1). Let l = -3.2 - 0.8. Let s = -61 - -61.3. What is the nearest to 0.1 in l, t, s? s Let y = -14 - -14. What is the closest to -2 in y, -0.1, 2/9? -0.1 Let l = 6 + -8. Let o be -1 - 0/(4/l). Which is the closest to -1? (a) -3/2 (b) o (c) -3/4 b Suppose 0 = -g - 3 - 0. Let n = -0.8 - -1. Let r = 38.5 + -38.4. What is the nearest to r in n, -2, g? n Let r = -0.09 + -0.01. Which is the nearest to -0.1? (a) 2 (b) r (c) -1 b Suppose 10 = -5*s - 2*y, 2*s - s - y + 2 = 0. Which is the nearest to 15? (a) -2/11 (b) 4 (c) s b Let t be (-6)/(6/10 - 1). Let n be 5/t*(-4)/(-3). What is the nearest to -1/2 in 2, 0.3, n? 0.3 Let o = 0.3 + 1.7. Let w be (-3)/6 - 2/12. Which is the nearest to w? (a) o (b) -6 (c) -3 c Let o = 3 + -2.8. Let q = 15.6 + 0.4. Let w = q - 13. Which is the closest to 1? (a) w (b) -5 (c) o c Suppose -9*g - 12 = -m - 13*g, 3*m + 4*g = 12. Let f = 0.2 - 0.2. What is the closest to m in -2/13, -1/8, f? f Let s = 0.4 + -5.4. Let l = 1.8 + 6.2. Let x = s + l. Which is the nearest to 1? (a) x (b) 4/7 (c) -0.4 b Suppose -4*v - 24 = 5*d, -3*v - 1 - 2 = 0. What is the nearest to 1 in d, 2/3, -2? 2/3 Let t = 17 - 38. Let m = t - -187/9. Let b = -0.28 + 0.08. What is the closest to -2 in b, -0
{ "pile_set_name": "DM Mathematics" }
gest value? (a) -1 (b) -1/2 (c) 2/17 (d) -30923 a What is the third smallest value in -97338, 2, 41? 41 Which is the biggest value? (a) 196 (b) 9614 (c) 4 b Which is the fourth smallest value? (a) 55 (b) 140 (c) 39 (d) -2/13 b What is the smallest value in -0.005, 2, -2/11, -0.4, 0.4, 57/4? -0.4 What is the sixth biggest value in -5/2, 2579/4, 5, 3/2, -3, 1, -5? -3 What is the fourth biggest value in -0.23, -3, 1/4, -149813? -149813 What is the sixth smallest value in -718, 3/52, -1, 1/4, 2, -3? 2 Which is the smallest value? (a) -4.9 (b) 1/2 (c) 409 (d) 5/6 (e) -6 e What is the second biggest value in -68244, 2/79, -1/5, 1, 4, -0.1? 1 Which is the fifth biggest value? (a) 0.2 (b) 27 (c) 132 (d) -0.5 (e) -4 e Which is the fifth smallest value? (a) -4 (b) 62.12 (c) -5 (d) -0.15 (e) -3 (f) 2/11 (g) -2/5 d What is the biggest value in -46, -1, -0.34, 7, -16/205? 7 Which is the second biggest value? (a) -0.05 (b) 5 (c) -1/759 (d) -3 c What is the fourth biggest value in -4, 15.46, 9, 4/183, -2/11, -0.1? -0.1 Which is the third biggest value? (a) 96553 (b) 4 (c) -4/7 (d) 0.4 (e) 1/7 d What is the fourth smallest value in -6, -4, 2/7, -1, 3, 2, 43? 2/7 What is the second biggest value in -70, 2800/3, 13? 13 What is the sixth biggest value in -2, 0.5, -4352, -1, -4, 69? -4352 Which is the third biggest value? (a) 5 (b) -0.3 (c) 68 (d) 21 (e) -0.2 (f) 0.14 (g) -2/17 a What is the second smallest value in -0.02, -4, 4, 5, 0.4, -20883? -4 Which is the third biggest value? (a) 90/37417 (b) -4 (c) -1/9 (d) 1 c What is the fifth smallest value in -2/9, 5, -0.22, 28, 1/3? 28 Which is the biggest value? (a) 0.37 (b) -10.455 (c) -0.3 a Which is the fourth biggest value? (a) 25733/12 (b) -3 (c) -0.3 (d) -4 d Which is the sixth smallest value? (a) -41 (b) 1 (c) -1656 (d) -1/7 (e) -4 (f) 1/6 b Which is the biggest value? (a) -3 (b) -5 (c) 3 (d) -0.5 (e) 0.4 (f) -13 (g) -64/5 c Which is the seventh biggest value? (a) -160 (b) -1 (c) -15 (d) 0.57 (e) 4 (f) -2 (g) -1/2 a Which is the third smallest value? (a) -559 (b) -0.05 (c) -1.2 (d) -2 c Which is the second smallest value? (a) 7835 (b) 0.1 (c) -0.02 (d) -1 c What is the third biggest value in 12389/4, 2, -51? -51 Which is the biggest value? (a) 705633 (b) -1.7 (c) 1/11 a What is the smallest value in 7, 0.0463, -2, -2/11, -0.5, 0.027, 5? -2 Which is the sixth biggest value? (a) -58 (b) -47 (c) 31 (d) -73 (e) 0.4 (f) -2/15 d What is the second smallest value in -23.1, -0.4, -5613? -23.1 What is the third smallest value in -24226, 0.007, 5? 5 Which is the third smallest value? (a) 57 (b) 14 (c) 0.1 (d) -9 (e) -0.037 c Which is the third biggest value? (a) 3/2 (b) 1/4 (c) -1/4 (d) -26/15 (e) 0.049 (f) 0.4 b What is the seventh smallest value in -26, -0.1, 0.02, 0.2, 3, 0, 145? 145 What is the third biggest value in 2/7, 1/1854, -0.29, 3? 1/1854 What is the fifth biggest value in -0.4, 6, -1/3, -4, 3/2, -5019? -4 What is the second smallest value in -531/5, -16, 2, -4, 3/7? -16 Which is the fourth smallest value? (a) -0.3 (b) 1 (c) 178 (d) 4/9 (e) 73 (f) -1 (g) -4 d What is the biggest value in -993, -0.203, 2, 1.05? 2 What is the second biggest value in 6, 3, -173, 258? 6 Which is the biggest value? (a) 138 (b) -2 (c) 1209 (d) -1/2 (e) -3 c Which is the fourth biggest value? (a) 3/5 (b) 1/4 (c) 9/2 (d) 3184 (e) 204 a What is the fourth biggest value in -0.2, 27, -37412, 0? -37412 Which is the fifth smallest value? (a) 296/135 (b) -0.1 (c) 1/5 (d) 3/7 (e) -2/5 (f) -2/11 d What is the smallest value in -127.5, 6, 190, -1? -127.5 What is the second smallest value in -17/5, -0.1, 0, 4/3, 1/51826, 3/5? -0.1 Which is the third biggest value? (a) 2/15 (b) -5 (c) -2/8311 (d) -267 (e) 3 c Which is the biggest value? (a) -0.4 (b) -7.7 (c) -2/21 (d) -56.98 (e) 1 e Which is the third biggest value? (a) -3 (b) 4854 (c) 0.3 (d) -0.5 (e) 1/2 (f) -2/11 (g) 68 e Which is the third biggest value? (a) -0.5 (b) -0.4 (c) -9 (d) 0.4 (e) 8 (f) -24/4805 (g) -4 f Which is the fourth smallest value? (a) 4 (b) 1/15 (c) 16/3 (d) 5.21343 c What is the fifth biggest value in 9, -0.0111, 125, -2/11, 1, -2? -2/11 Which is the biggest value? (a) -3777.06 (b) -2 (c) 4 (d) -5 c Which is the sixth biggest value? (a) 0.5 (b) 0 (c) 0.43 (d) 15 (e) -1/4538 (f) -5/2 f What is the second biggest value in 9955415/6, -5/9, 3? 3 Which is the fifth smallest value? (a) -0.07 (b) 1 (c) 0.7 (d) -4 (e) 3 e Which is the sixth biggest value? (a) -0.1 (b) -8 (c) -0.0413 (d) 2/9 (e) 4 (f) 1/3 (g) 0 a What is the fifth biggest value in 2/7, -1/11, 3, -115, 0.3, -2/3? -2/3 What is the fifth smallest value in 55, -1/285, 1/4, 7, 1, -3? 7 What is the smallest value in -0.05, 2/13, -5, -3/4, 0.5, 3, -0.1? -5 What is the fifth smallest value in 1, 14444/7, 109, -4, 5? 14444/7 Which is the third smallest value? (a) 2/3 (b) -4/11 (c) 1635 (d) -1 (e) -2/3 (f) -0.2 (g) -0.1 b What is the sixth biggest value in -10241, 2/7, -0.2, -0.5, -5/364, -4? -10241 What is the third smallest value in 24948, -20/3, 10/13, 4/7? 10/13 What is the sixth smallest value in 0.2, -10, 2489, 5, 4, 11? 2489 Which is the third smallest value? (a) 6961 (b) -581 (c) -0.04 a What is the second smallest value in -2/3, -2.4, 40491? -2/3 What is the fourth biggest value in -0.03, 8, -4, 4, -1/9, 3274? -0.03 What is the biggest value in -8, 83269/4, 0.3, 2/7, 4, 5? 83269/4 What is the second smallest value in -5, 3/17, 23.4, -1117? -5 Which is the fifth biggest value? (a) 0.4 (b) 1168/45 (c) 7/4 (d) 4 (e) -2/23 e Which is the second smallest value? (a) 0 (b) 190 (c) -30.14 (d) -1 (e) -8 e Which is the biggest value? (a) -1/2 (b) 1/6 (c) -0.3 (d) -6 (e) -9.5 (f) -5 (g) 0.011 b Which is the smallest value? (a) -2 (b) -1 (c) 6/41 (d) 8 (e) -192 e Which is the fourth biggest value? (a) -62 (b) -3 (c) 3 (d) -2.691 (e) -1 b What is the third biggest value in 1.03, -734, -262? -734 Which is the second biggest value? (a) -1 (b) 363 (c) -2444 (d) -5 (e) 0 e What is the seventh biggest value in 2/7, -3, -44, -0.2, -31438, -0.5, 2? -31438 What is the biggest value in 0, 56.2795, 3, 46? 56.2795 What is the third biggest value in 2/361, -127, -1, 0.3, 2/7, -0.3? 2/361 What is the second smallest value in -25, 0, 4327.02? 0 Which is the biggest value? (a) -0.059 (b) 6.868 (c) -7 b What is the third biggest value in 81, 0.036, -350? -350 What is the second smallest value in 3, 0.2, 961, -16, -0.6? -0.6 Which is the third smallest value? (a) 5/6 (b) 9/7 (c) -2/5 (d) -2/3755 (e) -0.2 d What is the third smallest value in -35, -3, -44674, -4? -4 What is the fourth smallest value in -1/2831, -0.2, -3053, -3? -1/2831 Which is the fifth smallest value? (a) -0.2 (b) -96 (c) 0.5 (d) 48.35 (e) -5 d Which is the second smallest value? (a) -0.3 (b) -0.5 (c) 1.7 (d) 0.66 (e) 8241 (f) 2/3 a What is the fourth biggest value in -0.0442, -9, -3/2, -1579? -1579 Which is the smallest value? (a) -2 (b) -2/3 (c) -1190 (d) -6 (e) 2 (f) -4 c What is the smallest value in 29/462, 3, -0.34? -0.34 What is the sixth smallest value in -3, -3/4, 10, 4, -1/4, -2? 10 Which is the fifth smallest value? (a) 553 (b) -0.1 (c) -6 (d) -5 (e) -16 (f) 10/19 f Which is the second smallest value? (a) 388 (b) -7 (c) 328/33 c Which is the third biggest value? (a) -43.04 (b) -4.3 (c) -1/10 a What is the second smallest value in -1.1841, 0.1, 0.4, -4/7? -4/7 Which is the biggest value? (a) 124 (b) 95 (c) 0.04 a Which is the second biggest value? (a) 24 (b) 0 (c) -459821 b What is the fifth smallest value in 2/605, -19, 0.02, 2, -3? 2 Which is the third biggest value? (a) -5.02 (b) -13486 (c) 3 b Which is the smallest value? (a) -2/5 (b) 0.3 (c) -0.1 (d) -0.15 (e) -4 (f) -368 f Which is the second smallest value? (a) 13/6 (b) -2150 (c) -2 c Which is the third biggest value? (a) -0.1 (b) 5 (c) 223 (d) 3 (e) 1.1 (f) 0.0359 d What is the fourth biggest value in 6/35, 1/3, 36, 0.184, 1/7, 2/5? 0.184 Which is the second biggest value? (a) 168225.4 (b) -54 (c) -2 c What is the biggest val
{ "pile_set_name": "DM Mathematics" }
76, 37280, 46400, 55542? 64712 What comes next: 2312, 7374, 15688, 27242, 42024, 60022, 81224? 105618 What is the next term in -1142, -4418, -9828, -17330, -26882, -38442, -51968? -67418 What comes next: 13090, 17215, 21340? 25465 What is the next term in -2256985, -4513980, -6770977, -9027976, -11284977, -13541980? -15798985 What is next in 12916, 18209, 23502, 28795, 34088? 39381 What comes next: 1244305386, 1244305387, 1244305388, 1244305389, 1244305390, 1244305391? 1244305392 What is the next term in 4520787, 9041580, 13562373? 18083166 What is the next term in 2440, 2467, 2474, 2449, 2380? 2255 What comes next: -8217, -12150, -16083? -20016 What is the next term in 5317621, 5317625, 5317629, 5317633, 5317637, 5317641? 5317645 What is the next term in -462, -370, -260, -132? 14 What is the next term in 32466, 32566, 32666? 32766 What is the next term in -42166, -42093, -42032, -41989, -41970, -41981, -42028, -42117? -42254 What comes next: 1267, 826, 345, -194, -809, -1518, -2339, -3290? -4389 What comes next: -17204505, -17204500, -17204483, -17204448, -17204389, -17204300? -17204175 What comes next: 7832, 31349, 70566, 125513, 196220, 282717, 385034, 503201? 637248 What comes next: -601, -1553, -3037, -5053, -7601, -10681, -14293? -18437 What is the next term in 8350, 22555, 46226, 79363, 121966? 174035 What comes next: -7066, -6768, -6470, -6172? -5874 What is the next term in -995547, -995608, -995709, -995850, -996031? -996252 What comes next: -166268, -665068, -1496400, -2660264? -4156660 What is the next term in -169, -2125, -7669, -18595, -36697? -63769 What is next in 39598, 39674, 39750, 39826, 39902, 39978? 40054 What is next in 8282, 34075, 77060, 137237? 214606 What is the next term in 3375976, 6751952, 10127926, 13503898, 16879868, 20255836, 23631802? 27007766 What comes next: 118884, 238870, 359954, 482136, 605416, 729794, 855270? 981844 What comes next: -38145, -38241, -38337? -38433 What comes next: -538123, -538085, -538047? -538009 What is the next term in -152768, -152839, -152912, -152987? -153064 What is the next term in -91903, -183935, -275963, -367987, -460007, -552023? -644035 What comes next: 1405072, 2810138, 4215204, 5620270, 7025336, 8430402? 9835468 What is the next term in -2687, -5553, -10323, -16991, -25551, -35997, -48323? -62523 What is the next term in -5396, -5512, -5694, -5936, -6232? -6576 What is next in 487498, 487488, 487478? 487468 What is next in -1709040, -3418087, -5127134, -6836181, -8545228, -10254275? -11963322 What is the next term in 299152, 299454, 299756, 300058, 300360, 300662? 300964 What comes next: 6073, 9827, 13581? 17335 What is next in -44108, -88254, -132474, -176804, -221280, -265938? -310814 What comes next: 2945878, 2945872, 2945866, 2945860, 2945854? 2945848 What comes next: -4796, -9730, -14946, -20444, -26224, -32286, -38630? -45256 What is the next term in -11655865, -23311732, -34967599, -46623466? -58279333 What is next in -10394257, -20788516, -31182775, -41577034, -51971293? -62365552 What comes next: 11288725, 22577446, 33866167, 45154888? 56443609 What is next in -597708543, -597708545, -597708547, -597708549? -597708551 What is the next term in 25148224, 50296474, 75444724, 100592974, 125741224? 150889474 What is the next term in 289357005, 578714008, 868071011, 1157428014, 1446785017? 1736142020 What comes next: -659021, -1317961, -1976901, -2635841? -3294781 What is the next term in -1840052504, -1840052503, -1840052502? -1840052501 What is next in 1255, 2346, 3371, 4318, 5175? 5930 What comes next: 5626, 10643, 15662, 20683? 25706 What comes next: 4786, -1448, -7682? -13916 What is next in 78, -149, -1330, -4119, -9170, -17137? -28674 What is next in -8786, -35312, -79500, -141332, -220790, -317856, -432512, -564740? -714522 What comes next: -273, -478, -701, -942, -1201? -1478 What comes next: 453986, 449023, 440752, 429173, 414286, 396091, 374588? 349777 What is next in 117075, 116505, 115937, 115371, 114807, 114245? 113685 What is the next term in -5927905, -5927904, -5927901, -5927896, -5927889? -5927880 What is next in 35747172, 35747174, 35747176? 35747178 What is next in -436494356, -436494354, -436494352, -436494350, -436494348, -436494346? -436494344 What comes next: -407320, -814510, -1221700, -1628890? -2036080 What is next in -23290, -93089, -209422, -372289? -581690 What is next in -109008, -122097, -135186, -148275, -161364? -174453 What comes next: -16338073, -16338072, -16338073, -16338076, -16338081? -16338088 What comes next: -400443, -804049, -1207655? -1611261 What is next in -1490163, -1490163, -1490165, -1490169, -1490175, -1490183? -1490193 What is the next term in 95197402, 95197397, 95197394, 95197393, 95197394, 95197397, 95197402? 95197409 What is next in 1349, 4568, 9603, 16454, 25121, 35604, 47903? 62018 What comes next: 8853828, 8853848, 8853868, 8853888, 8853908, 8853928? 8853948 What is next in -153166, -307859, -462552, -617245, -771938, -926631? -1081324 What comes next: 103, 583, 1817, 4171, 8011, 13703? 21613 What is next in -1249, -1136, -875, -394, 379, 1516, 3089, 5170? 7831 What comes next: -24983, -24864, -24659, -24362, -23967, -23468, -22859? -22134 What is next in 100873722, 201747452, 302621182, 403494912, 504368642? 605242372 What is the next term in 2070, 4133, 6218, 8331, 10478, 12665, 14898, 17183? 19526 What is next in -165909, -165892, -165891, -165912, -165961, -166044, -166167, -166336? -166557 What is next in -3912, -9280, -16106, -24390, -34132? -45332 What is next in -3549207, -7098430, -10647653, -14196876, -17746099? -21295322 What comes next: 132925, 132914, 132881, 132814, 132701, 132530, 132289, 131966? 131549 What is next in -18951010, -37902089, -56853170, -75804253, -94755338, -113706425, -132657514? -151608605 What is the next term in 9234, 36789, 82684, 146919, 229494, 330409? 449664 What comes next: -23413, -23373, -23303, -23203, -23073, -22913, -22723? -22503 What is the next term in 31978767, 31978769, 31978771, 31978773, 31978775, 31978777? 31978779 What is next in -71, -90, -255, -638, -1311? -2346 What is next in -11400, -45664, -102790, -182778, -285628, -411340? -559914 What is next in -68773, -66381, -62397, -56821, -49653, -40893? -30541 What comes next: 75595, 150793, 225991? 301189 What is next in -48641, -40017, -31389, -22757? -14121 What is next in -104351, -208728, -313105, -417482, -521859, -626236? -730613 What is the next term in 13645831, 13645833, 13645835, 13645837, 13645839? 13645841 What is the next term in -1740162, -1740438, -1740714? -1740990 What is the next term in -88361, -353183, -794557, -1412483, -2206961? -3177991 What comes next: 96, -198, -1022, -2640, -5316, -9314, -14898? -22332 What comes next: 462566, 462573, 462580, 462587, 462594, 462601? 462608 What comes next: 148, 853, 1574, 2311, 3064? 3833 What is next in -16011, -16703, -17823, -19377, -21371, -23811, -26703, -30053? -33867 What is the next term in -559330, -2237327, -5033996, -8949337, -13983350, -20136035, -27407392? -35797421 What is next in -223, -473, -663, -763, -743, -573? -223 What is next in -9224658, -18449310, -27673938, -36898530, -46123074? -55347558 What is next in -1998, -2783, -3950, -5493, -7406, -9683, -12318, -15305? -18638 What is the next term in 791131, 1582538, 2373947, 3165358, 3956771, 4748186? 5539603 What comes next: -2861924, -5723865, -8585808, -11447753? -14309700 What is the next term in 3674, 7355, 11050, 14765, 18506, 22279? 26090 What is the next term in 218548, 219148, 220140, 221518, 223276? 225408 What is the next term in -2978, -12135, -27480, -49013? -76734 What is next in 502, 465, 412, 343, 258, 157? 40 What comes next: 3099652, 3099734, 3099878, 3100090, 3100376, 3100742, 3101194, 3101738? 3102380 What is next in 3970, 3552, 2848, 1858? 582 What is the next term in 3520, 6069, 10306, 16225, 23820, 33085, 44014, 56601? 70840 What comes next: 376901, 377178, 377641, 378290, 379125, 380146? 381353 What is the next term in 927, 937, 991, 1089, 1231, 1417, 1647? 1921 What is the next term in -77160, -310692, -700604, -1246908, -1949616, -2808740? -3824292 What comes next: 1671754, 3343548, 5015352, 6687172, 8359014? 10030884 What is next in -110911, -221626,
{ "pile_set_name": "DM Mathematics" }
t: 673654925, 1347309850, 2020964775? 2694619700 What is next in 10223, 41228, 92929, 165320, 258395? 372148 What comes next: -30091, -60415, -90739, -121063, -151387? -181711 What is the next term in -39529, -156808, -352271, -625918, -977749, -1407764? -1915963 What is next in -7, 131, 197, 203, 161, 83, -19? -133 What is next in 61885937, 123771892, 185657847, 247543802? 309429757 What is next in -1458, -5409, -9360? -13311 What is next in -179909, -359555, -538941, -718067, -896933? -1075539 What is the next term in -9297075, -9297079, -9297083, -9297087? -9297091 What is next in 5595, 5333, 4891, 4269, 3467, 2485? 1323 What is the next term in 769, 3079, 9541, 22237, 43249, 74659? 118549 What comes next: 1750076, 3500119, 5250132, 7000115? 8750068 What is next in -18237502, -18237504, -18237506, -18237508, -18237510, -18237512? -18237514 What is the next term in 2462362, 4924661, 7386960? 9849259 What is next in 1264202, 5056695, 11377510, 20226653, 31604130, 45509947, 61944110, 80906625? 102397498 What comes next: 75106, 74947, 74786, 74623, 74458, 74291, 74122? 73951 What comes next: -8327656, -16655313, -24982972, -33310633, -41638296, -49965961, -58293628? -66621297 What is the next term in -66095, -132183, -198341, -264605, -331011? -397595 What comes next: 1490, 3195, 5128, 7301, 9726? 12415 What comes next: 3393101, 3393102, 3393103, 3393104? 3393105 What is next in -5038, -16790, -35466, -61072, -93614, -133098, -179530, -232916? -293262 What is the next term in 121488, 485980, 1093470, 1943958, 3037444, 4373928, 5953410? 7775890 What is next in -27833217, -27833216, -27833215, -27833214? -27833213 What comes next: -173520, -173599, -173744, -173961, -174256, -174635, -175104, -175669? -176336 What is the next term in -4656, -9670, -14790, -20022, -25372, -30846, -36450, -42190? -48072 What is the next term in 379145, 757879, 1136613? 1515347 What comes next: -1635095, -3270252, -4905409, -6540566, -8175723, -9810880? -11446037 What is next in -1331, -4159, -9999, -20369, -36787? -60771 What is next in 1501, 6485, 14805, 26473, 41501, 59901, 81685, 106865? 135453 What comes next: -704050, -704135, -704384, -704881, -705710, -706955, -708700? -711029 What is the next term in 1285, 2281, 3287, 4309, 5353, 6425, 7531? 8677 What is the next term in 8157829, 16315645, 24473461, 32631277? 40789093 What comes next: -1936209, -3872766, -5809323, -7745880, -9682437, -11618994? -13555551 What is next in -19270, -76720, -172352, -306166? -478162 What is next in -1959408, -3918744, -5878080, -7837416? -9796752 What is the next term in -195638, -1566105, -5285946, -12529847, -24472494, -42288573? -67152770 What is next in 13164, 105082, 354478, 840090, 1640656, 2834914, 4501602? 6719458 What is next in -9556, -11128, -12698, -14266? -15832 What comes next: 4509, 8894, 13273, 17646, 22013? 26374 What is next in 39978, 39739, 39500? 39261 What comes next: 347095950, 347095952, 347095954, 347095956? 347095958 What comes next: 8982055, 17964114, 26946173? 35928232 What comes next: -2700, -7430, -15322, -26382, -40616, -58030, -78630? -102422 What is next in -2270, -4241, -5908, -7271, -8330, -9085? -9536 What is next in 17068, 17098, 17116, 17122, 17116, 17098? 17068 What is the next term in 79968, 78567, 77166, 75765, 74364, 72963? 71562 What is the next term in 22827, 22452, 22077? 21702 What is the next term in 35252, 141049, 317368, 564209? 881572 What comes next: -6745398, -6745412, -6745438, -6745482, -6745550? -6745648 What is the next term in -17611, -114539, -276081, -502231, -792983, -1148331? -1568269 What is the next term in 300042, 1200187, 2700430, 4800771, 7501210, 10801747? 14702382 What is the next term in 2049, 1424, 379, -1086, -2971, -5276, -8001? -11146 What is next in 2856, 5774, 8694, 11616, 14540, 17466? 20394 What is the next term in -577, -1350, -2661, -4528, -6969? -10002 What comes next: 9199175, 9199176, 9199177? 9199178 What is next in -231, -1511, -4915, -11505, -22343, -38491, -61011, -90965? -129415 What is next in -6292, -4108, -1924? 260 What is the next term in -144938, -289858, -434776, -579698, -724630, -869578, -1014548, -1159546? -1304578 What comes next: -12606, -26093, -40456, -55701, -71834, -88861? -106788 What is next in 264, 1606, 4026, 7524, 12100, 17754, 24486? 32296 What comes next: -304915220, -304915219, -304915218? -304915217 What comes next: 41020, 41061, 41102, 41143? 41184 What comes next: 21362, 85431, 192210, 341699, 533898, 768807, 1046426? 1366755 What comes next: -6638, -7154, -8004, -9182, -10682, -12498? -14624 What comes next: -1336, -5309, -14720, -32287, -60728, -102761, -161104? -238475 What comes next: -2303574, -2303556, -2303528, -2303490? -2303442 What is the next term in 149966, 1199888, 4049688, 9599306, 18748682, 32397756? 51446468 What is next in 3147, 7343, 11539, 15735? 19931 What is next in 1269, 2404, 4293, 6936, 10333, 14484, 19389? 25048 What is next in -1088533, -2177078, -3265625, -4354174, -5442725? -6531278 What comes next: 10301, 20554, 30705, 40730, 50605, 60306, 69809, 79090? 88125 What is next in -519414, -519491, -519568, -519645, -519722, -519799? -519876 What is the next term in 90121, 90073, 89935, 89659, 89197, 88501? 87523 What is the next term in -16145037, -32290073, -48435109, -64580145, -80725181, -96870217? -113015253 What comes next: -1394678, -5578698, -12552062, -22314770? -34866822 What comes next: 61076, 122371, 183666, 244961, 306256? 367551 What is the next term in -4129, -8843, -14177, -20131, -26705, -33899, -41713? -50147 What comes next: -35994986, -35994984, -35994982, -35994980, -35994978, -35994976? -35994974 What is next in -2579, -5606, -8695, -11852, -15083? -18394 What is next in -87, -1134, -4017, -9636, -18891, -32682, -51909? -77472 What is the next term in 152155425, 304310829, 456466231, 608621631, 760777029, 912932425? 1065087819 What is next in -4082, -4130, -4182, -4232, -4274, -4302, -4310, -4292? -4242 What comes next: 36348, 72429, 108518, 144615, 180720? 216833 What is next in -5769, -23740, -54981, -100548, -161497, -238884, -333765? -447196 What is the next term in 4083074, 8166165, 12249258, 16332353, 20415450, 24498549, 28581650? 32664753 What is next in 33043, 33045, 33053, 33073, 33111? 33173 What is next in -8355952, -8355987, -8356022, -8356057? -8356092 What is next in 9477, 10518, 11557, 12594? 13629 What comes next: 107908, 107338, 106388, 105058, 103348, 101258, 98788? 95938 What comes next: 33485526, 33485528, 33485530, 33485532? 33485534 What is the next term in -51496, -101135, -150764, -200377, -249968? -299531 What comes next: 450040972, 450040975, 450040978, 450040981? 450040984 What is the next term in -3764, -1606, 552, 2710, 4868, 7026? 9184 What is next in 1144, 2510, 4102, 5920, 7964, 10234, 12730? 15452 What is the next term in -88715, -88758, -88801, -88844, -88887, -88930? -88973 What is the next term in -4405, -3942, -3479? -3016 What is next in -102517, -204917, -307317, -409717, -512117? -614517 What is next in 11265, 12481, 15759, 22131, 32629, 48285? 70131 What comes next: 11560210, 11560206, 11560200, 11560192, 11560182? 11560170 What is the next term in -1213, 2674, 9153, 18224, 29887, 44142, 60989? 80428 What comes next: -29151, -17424, 2115, 29460, 64605, 107544, 158271? 216780 What comes next: 840492, 840510, 840530, 840552, 840576? 840602 What comes next: -227123, -227193, -227263, -227333, -227403? -227473 What comes next: 530198, 530126, 530054, 529982, 529910, 529838? 529766 What is next in -68040, -68490, -69240, -70290, -71640, -73290, -75240? -77490 What is next in 35537169, 35537173, 35537179, 35537187? 35537197 What is the next term in -2782, -18195, -43908, -79927, -126258? -182907 What comes next: -145563, -291124, -436689, -582258? -727831 What is the next term in -171929989, -343859977, -515789965, -687719953, -859649941, -1031579929? -1203509917 What is the next term in 7793, 7805, 7815, 7823, 7829, 7833? 7835 What is the next term in -671, -654, -699, -806? -975 What is next in -1166, -1278, -1394, -1514? -1638 What is next in -1557060, -1557084, -1557108, -1557132, -1557156? -1557180 What is next in -3666603, -7333197, -10999799, -14666415, -18333051? -21999713 Wha
{ "pile_set_name": "DM Mathematics" }
686*p*x wrt x? 5446*p**2 What is the second derivative of 36*k*l**3*v**2 + 6*k*l*v**2 - 3*k*l*v - 49*k*l + 3*l**3 + 5*l**2*v**2 wrt l? 216*k*l*v**2 + 18*l + 10*v**2 Find the third derivative of 107*y**4 - 2*y**3 - y**2 + 20. 2568*y - 12 What is the second derivative of -74*o**4 + 115*o wrt o? -888*o**2 What is the third derivative of -7*a*u**4*x + 4*a*u**3 - 2*a*u**2*x + a*u**2 + a*u + 10*u**4*x - 278*u**2 + x wrt u? -168*a*u*x + 24*a + 240*u*x Find the second derivative of 28*d**3*w + 17*d**3 - 443*d*w wrt d. 168*d*w + 102*d Differentiate 200*q*v**3 - 7*q*v**2 + 4*v**3 + 3*v wrt q. 200*v**3 - 7*v**2 Find the second derivative of 308*j**5 - 4*j. 6160*j**3 What is the first derivative of 30*f**2*q**3*u + 8*f**2*q**3 + 4*f**2*q**2*u - 7*f**2*q**2 + f*q**2 wrt u? 30*f**2*q**3 + 4*f**2*q**2 What is the derivative of -227*u**2 + 332? -454*u Find the second derivative of -6*a*f**2*q**4 - 51*a*f**2*q - 3*a*f**2 + a*f + 18*a*q**4 wrt q. -72*a*f**2*q**2 + 216*a*q**2 Find the first derivative of -p*s**3*w + 377*p*s**3 - 6*p*s*w - p*s + 209*p*w - 2*p wrt w. -p*s**3 - 6*p*s + 209*p What is the derivative of 1177*p + 930? 1177 Differentiate -583*l**2 + 12843 wrt l. -1166*l Differentiate 4*a*b**2*u*y - 2*a*b**2*y + 111*a*b**2 - 20*a*u + a*y + 7*b**2*u - 2*b**2 + 2 with respect to u. 4*a*b**2*y - 20*a + 7*b**2 What is the third derivative of -1550*j**6 + 3006*j**2 + 2*j? -186000*j**3 What is the third derivative of 831*z**3 + 134*z**2 - 1? 4986 What is the first derivative of 52*f**2*h + 2*f**2*n**2 + f**2 + 5*h*n**3 + 2*h + 26*n**3 wrt n? 4*f**2*n + 15*h*n**2 + 78*n**2 Find the second derivative of 52*b*t**2*v**3 + 160*b*t**2*v**2*x**3 - b*t*v**3 - 3*b*v**2*x - 2*t*v**2*x**3 - 11*v**3*x + 13*v**2*x**3 wrt t. 104*b*v**3 + 320*b*v**2*x**3 Find the third derivative of -17*f**5 - 12*f**4 + 2*f**3 + 20182*f**2. -1020*f**2 - 288*f + 12 Find the second derivative of -7117*m**2*s**3 - 53*m*s**3 - m*s wrt m. -14234*s**3 Find the second derivative of 6*i**5 + 5*i**4 - 2*i**3 - 12*i + 92 wrt i. 120*i**3 + 60*i**2 - 12*i Find the third derivative of 3*h*o**3 - 12*h*o**2 - 10*h - 6*o**4 - 11*o**3 wrt o. 18*h - 144*o - 66 Differentiate 78*f*r**2*w**3 - f*r**2*w**2 - f*r - 2*r**2*w + 53*r**2 - r*w**3 with respect to f. 78*r**2*w**3 - r**2*w**2 - r Find the third derivative of 6*c**2*f**3 - 2*c**2*f**2 + 8*c*f - 15*f**5 - 11*f**2 wrt f. 36*c**2 - 900*f**2 Differentiate 6*i*y + 6*i + 29*y - 60 with respect to y. 6*i + 29 Find the third derivative of 77*o**3*p**3*z - o**3*p**2 + 119*o*p**2 + 27*p**3*z + 39*p*z wrt p. 462*o**3*z + 162*z Find the second derivative of -191*i**2*k**2 - 17*i**2*z + 2*i*k**2*z + 2*i - 9*k**2*z - 55*k**2 - k wrt i. -382*k**2 - 34*z Find the second derivative of 206*a**2*c**2*r*u**3 - 2*a**2*c**2*u**3 + 3*a*c**2*u**3 - a*c**2*u**2 - 26*a*r*u**2 - 5*r*u**3 wrt a. 412*c**2*r*u**3 - 4*c**2*u**3 Find the second derivative of -62*d**2*j**2*p - 2*d**2*j**2 - d**2*j*p + 2*j**2*p**3 - j + 23*p**3 + p**2 wrt j. -124*d**2*p - 4*d**2 + 4*p**3 What is the second derivative of 157*a**2 - 477*a wrt a? 314 Find the third derivative of 1757*g**4 + 2413*g**2 wrt g. 42168*g What is the derivative of -y**4 + 25*y**2 + 224? -4*y**3 + 50*y What is the second derivative of 10108*p**2 + 8593*p wrt p? 20216 What is the second derivative of 172*k**3 + 71*k wrt k? 1032*k Find the second derivative of -35061*z**2 + z - 607. -70122 Find the second derivative of 2*g**3*t**2 - 2*g**3*t - 2*g**3 - 29*g**2*t**2 - 2*g*t**2 - 10*g + 22*t wrt t. 4*g**3 - 58*g**2 - 4*g Find the second derivative of -18618*r**2 + 234*r - 25. -37236 Find the third derivative of -b**5 + b**3*w**3 - 16*b**3*w - b**2*w**3 + w**3 - 11*w**2 wrt b. -60*b**2 + 6*w**3 - 96*w Find the second derivative of -o**2*x - 122*o**2 + 339*o*x + 2*o wrt o. -2*x - 244 What is the second derivative of 3*m**4 - 44*m**3*y**2 - 12*m**3 + 7227*m*y**2 wrt m? 36*m**2 - 264*m*y**2 - 72*m What is the second derivative of -36*p**2 - 4*p + 31 wrt p? -72 Find the second derivative of 4*a**3*p**2 - 200*a**3*p - 2*a**3 + 19*p**2 - p wrt p. 8*a**3 + 38 Differentiate 531*g**2*h + 3609*g**2 - g*h**2 wrt h. 531*g**2 - 2*g*h Find the second derivative of 1433*b**5 - 1683*b. 28660*b**3 Find the first derivative of 8137*d - 4301 wrt d. 8137 Find the third derivative of -21568*j**3*s**3*y - 16*j**2*s - 2*j*s**3*y + 125*j*s**2*y wrt j. -129408*s**3*y Differentiate 820*c**2*z - 241*c**2 wrt z. 820*c**2 What is the second derivative of 1289*n**2 + 6703*n? 2578 What is the derivative of 2992*x - 1742? 2992 Find the third derivative of -19*h**4*i**2 + 31*h**4*i + h**3*i**2 - 2448*h**2*i**2 wrt h. -456*h*i**2 + 744*h*i + 6*i**2 What is the third derivative of 101*y**6 + 2*y**5 + 96*y**2 - 3 wrt y? 12120*y**3 + 120*y**2 What is the first derivative of 167*s*w + 2*w + 12 wrt s? 167*w What is the third derivative of 4281*c**3 + 508*c**2 wrt c? 25686 Find the first derivative of -2*d**3*s + 16*d**3 + 1946*s + 104 wrt s. -2*d**3 + 1946 What is the second derivative of g**2*t**3 - 12*g**2*t**2 - 2*g**2*t - 367*g**2 + 41*t**4 wrt t? 6*g**2*t - 24*g**2 + 492*t**2 Find the third derivative of 49*g**4*n + 2*g**3*n**2 - 2*g**3 - 6196*g**2 - n**2 wrt g. 1176*g*n + 12*n**2 - 12 What is the third derivative of -5*a**2*n**4 + 4*a**2*n**2 + 22*a**2*n - 11*a*n**4 + n**4 wrt n? -120*a**2*n - 264*a*n + 24*n Differentiate -5*a**3*o - a**3*x - 6*a*x**2 + 29*o*x - 3*x**2 - 2*x with respect to a. -15*a**2*o - 3*a**2*x - 6*x**2 What is the derivative of -8*l**3*n + 10*l**3 - 2*n + 7 wrt l? -24*l**2*n + 30*l**2 Find the second derivative of -98*a**2*t**2 - 3*a*t + 55*t**2 wrt a. -196*t**2 Find the third derivative of 49*n**6*x - 2*n**5*x**2 + 410*n**2*x**2 + 2*x**2 wrt n. 5880*n**3*x - 120*n**2*x**2 What is the second derivative of 8*i*l**4 + i*l**2 + i*l + 2*i + 27*l**5 + 89*l wrt l? 96*i*l**2 + 2*i + 540*l**3 What is the derivative of -k**3*p + 2*k**3*u + 13*k*p*u + 18*p - 2*u wrt u? 2*k**3 + 13*k*p - 2 Find the first derivative of -1361*k + 3962. -1361 Find the second derivative of -3*p**5 - 42*p**4 + 177*p - 2. -60*p**3 - 504*p**2 Differentiate 122*b*p**2*t + 5*b + 27*p**2*t + 391*p**2 with respect to t. 122*b*p**2 + 27*p**2 What is the second derivative of -209*s**2 + 33*s - 3 wrt s? -418 Find the first derivative of -35*m - 131 wrt m. -35 What is the derivative of -124*s**2*u**4 + 1329*s**2 wrt u? -496*s**2*u**3 Differentiate -200*c*m - 320*c with respect to m. -200*c Find the third derivative of 2*k*r**3 + 11*k*r**2 - k - 74*r**5 - 2*r**4 + 6*r**2 wrt r. 12*k - 4440*r**2 - 48*r What is the third derivative of -1009*z**6 + 3*z**5 - 2*z**2 + 229*z wrt z? -121080*z**3 + 180*z**2 What is the second derivative of 1611*i**2*s**2 - 2*i - 138*s**2 + 6 wrt i? 3222*s**2 Find the third derivative of -24*q**3*s**3 + 91*q**3*s**2 - 3*q**2*s**2 + 2*q*s - 5*s**3 - 280*s**2 wrt q. -144*s**3 + 546*s**2 Differentiate 9*a**2*d - 29*a**2 - 2*a*d + d + 8219 with respect to a. 18*a*d - 58*a - 2*d What is the second derivative of -223*d**2 - 212*d? -446 What is the third derivative of -961*i**4*p**3 - 2*i**3*m**2*p**3 - 2*i**2 - 2*i*m**2*p**3 - 16*i*m**2*p wrt i? -23064*i*p**3 - 12*m**2*p**3 Find the second derivative of -34*g*o**2 + g - 5*o**4 - o wrt o. -68*g - 60*o**2 What is the second derivative of 639*a**2*y**3 - 98*a*y**3 wrt a? 1278*y**3 Find the second derivative of -2106*n**2 + 1651*n. -4212 Find the second derivative of -25354*r**4 + 1651*r. -304248*r**2 Differentiate -16413*d*p - 15245*p with respect to d. -16413*p What is the second derivative of -171*p**4 - 2*p + 62? -2052*p**2 Find the second derivative of f**5 - 105*f**4 - 188*f wrt f. 20*f**3 - 1260*f**2 What is the second derivative of -63*p**2 - 335*p wrt p? -126 Find the third derivative of -6177*m**3 - 17370*m**2. -37062 Differentiate 156*d**2*m**2 - 432*d**2 - 2*m**2 wrt m. 312*d**2*m - 4*m Differentiate -479*v*y**2 + 5*y**2 + 18 with respect to v. -479*y**2 What is the third derivative of -1672*d*l**6 - 2*d*l**2 - 4*d*l + 44*d wrt l? -200640*d*l**3 What is the derivative of 773*g**4 + 2683? 3092*g**3 Find the second derivative of 2*p**3*u*v**2 - 5*p**3*u + 12*p**2*u*v**2 + 6*p*v**3 - u*v - 5*u wrt v. 4*p**3*u + 24*p**2*u + 36*p*v Find the third derivative of 1061*v**6 + 1726*v**2. 127320*v**3 What is the third de
{ "pile_set_name": "DM Mathematics" }
**4 + 4*l**3 - 2*l**2 + 1. Let r(x) = 0. Calculate x. 0, 1 Let a(v) = -3*v**2 - 21*v + 23. Let n(f) = f**2 + 10*f - 11. Let o(p) = -2*a(p) - 5*n(p). Let k be o(7). Let -2/7*t**k - 2/7 - 4/7*t = 0. Calculate t. -1 Let n(b) be the third derivative of -b**8/23520 + b**7/3528 + b**6/1260 + 3*b**5/20 - 5*b**2. Let a(l) be the third derivative of n(l). Factor a(w). -2*(w - 2)*(3*w + 1)/7 Let o(y) = y**2 + 1. Let c(s) = -3*s**2 - 2. Let d(f) = -6*c(f) - 15*o(f). Suppose d(l) = 0. Calculate l. -1, 1 Let j(y) be the first derivative of -y**8/3920 + y**7/490 - y**6/168 + y**5/140 - 5*y**3/3 - 2. Let w(z) be the third derivative of j(z). Factor w(o). -3*o*(o - 2)*(o - 1)**2/7 Let u be 1784/28 + 4/14. Let z = u - 190/3. Solve -4/3 - z*f + 2/3*f**2 = 0. -1, 2 Factor 44*u - 26*u + 3*u**2 - 42*u + 21. 3*(u - 7)*(u - 1) Solve 1 + 459*y + 35*y**2 - 1 - 5*y**3 - 509*y = 0 for y. 0, 2, 5 Factor -2/5 - 6/5*r**2 - 2/5*r**3 - 6/5*r. -2*(r + 1)**3/5 Suppose -19 - 1 = -5*y. Suppose -2*f = 5*b - 20, 2*f + 2 = 4*b + 4. Factor 5*u**y - 5*u**2 + 1 - 5*u**2 - u - 2*u**3 + 3*u**f + 4*u**2. (u - 1)*(u + 1)**3*(3*u - 1) Find l, given that 3/2*l - 21/4*l**2 + 21/4*l**4 + 0 - 3/2*l**3 = 0. -1, 0, 2/7, 1 Let j(o) be the first derivative of -o**4/6 + 10*o**3/9 - 8*o**2/3 + 8*o/3 - 16. Determine d, given that j(d) = 0. 1, 2 Let p(f) = f**3 - 3*f**2 + 2*f - 4. Let w be p(3). Suppose -3*s + 3*n - 5 = -w, -2*s + 4*n - 8 = 0. Let -i**3 - 3/2*i**s + 0 + i + 3/2*i**4 = 0. What is i? -1, 0, 2/3, 1 Let a = 1542 + -1540. Solve 32/13*n**a + 2/13 - 16/13*n = 0. 1/4 Let f be 11/14 + -2 + 84/49. Factor f*y + 0 + 1/2*y**2. y*(y + 1)/2 Let g = -15 - -15. Let a(n) be the third derivative of g*n - 2*n**2 + 0*n**3 - 1/240*n**5 + 0 - 1/48*n**4. Factor a(t). -t*(t + 2)/4 Let r(n) be the second derivative of -n**10/60480 - n**9/30240 + n**8/13440 + n**7/5040 - n**4/6 + 3*n. Let s(q) be the third derivative of r(q). Factor s(o). -o**2*(o - 1)*(o + 1)**2/2 Let l(z) = z**3 + 4*z**2 - 5*z + 2. Let a be l(-5). Factor 4 - 4 - a*t + t - t**2. -t*(t + 1) Let u(q) be the third derivative of -q**6/40 + 3*q**5/20 - 3*q**4/8 + q**3/2 + 5*q**2. Factor u(y). -3*(y - 1)**3 Let d be ((-24)/5 - -4)/((-4)/10). Let 1/2 + 1/4*b - 21/4*b**2 + d*b**3 + 7*b**4 = 0. Calculate b. -1, -2/7, 1/2 Let o = 41/15 - 272/105. Solve 0 - o*n**2 + 2/7*n = 0. 0, 2 Factor 2/13*f**2 - 12/13 - 10/13*f. 2*(f - 6)*(f + 1)/13 Let k(l) be the first derivative of -2/25*l**5 + 2/5*l + 1/5*l**4 + 4 - 2/5*l**2 + 0*l**3. Find r, given that k(r) = 0. -1, 1 Let n(f) = -f. Let x(j) = 2*j**4 - 6*j**2 - 10*j. Let v(i) = 12*n(i) - 2*x(i). Factor v(d). -4*d*(d - 2)*(d + 1)**2 Let b(n) = -5*n**3 - 11*n**2 - 11*n - 3. Let j(d) be the second derivative of d**5/20 + d**4/12 + d**3/6 - 2*d. Let h(g) = -b(g) - 2*j(g). Factor h(v). 3*(v + 1)**3 Let u be 0 - 1 - (8 - 16). Let z = 10 - u. Let -2*c**2 - 5*c**z - 2*c**2 + 5*c**2 + 4*c**4 = 0. Calculate c. 0, 1/4, 1 Let m(w) = -11*w**3 + 8*w**2 + w - 6. Let d be (4/(-8))/(3/(-48)). Let a(l) = -7*l**3 + 5*l**2 + l - 4. Let u(z) = d*a(z) - 5*m(z). Solve u(c) = 0 for c. -2, 1 Solve 1/3*m + 5/3*m**3 + 2/3 - 8/3*m**2 = 0 for m. -2/5, 1 Suppose 10*g = 7*g. Let y(v) be the first derivative of 2 + 0*v**3 + 0*v + 1/15*v**6 + g*v**2 - 4/25*v**5 + 1/10*v**4. Factor y(t). 2*t**3*(t - 1)**2/5 Let q(p) be the first derivative of -p**6/3 - 6*p**5/5 - p**4 + 4*p**3/3 + 3*p**2 + 2*p + 7. Suppose q(v) = 0. What is v? -1, 1 Let b(z) be the third derivative of z**5/15 - z**4/3 - 16*z**3/3 + 22*z**2. Factor b(t). 4*(t - 4)*(t + 2) Determine v, given that -19/5*v**2 + 0 - 6/5*v + 7/5*v**3 = 0. -2/7, 0, 3 Let d(c) = c**2 + 209*c + 1729. Let q(n) = -n**2 - 314*n - 2593. Let s(t) = 8*d(t) + 5*q(t). Determine u, given that s(u) = 0. -17 Let b = -197 - -11821/60. Let w(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 3*z**2 - b*z**5 - 1/210*z**7 + 0*z - 1/60*z**6. Let w(i) = 0. What is i? -1, 0 Let f(o) be the third derivative of o**7/455 - o**6/195 - 3*o**5/130 + 3*o**4/26 - 8*o**3/39 - 4*o**2 - 3. Determine x, given that f(x) = 0. -2, 1, 4/3 Factor -27/5*m**3 + 0 - 21/5*m**2 - 3/5*m**5 - 6/5*m - 3*m**4. -3*m*(m + 1)**3*(m + 2)/5 Suppose -t = 1 - 3. Suppose -48*w + 47*w = 0. Factor 2/3*m - 2/3*m**t + w. -2*m*(m - 1)/3 Let v(g) be the first derivative of g**7/315 - g**6/90 + g**5/90 - 3*g**2/2 + 2. Let q(f) be the second derivative of v(f). Suppose q(y) = 0. Calculate y. 0, 1 Let m(l) = 3*l**3 - l**2 + 12*l + 12. Let i(y) = 2*y**3 - y**2 + 11*y + 12. Let r(k) = 4*i(k) - 3*m(k). What is f in r(f) = 0? -2, 3 Factor 0*v**2 + 4*v**2 + 6*v + 4 + 4*v - 2*v. 4*(v + 1)**2 Suppose 0*c + 0 + c**2 + 1/2*c**5 + 5/2*c**3 + 2*c**4 = 0. Calculate c. -2, -1, 0 What is a in -15*a - 2*a**4 - 315*a**3 - 5*a**2 + 10 - 3*a**4 + 330*a**3 = 0? -1, 1, 2 Let x(z) be the first derivative of 3*z**5/4 - 3*z**4/2 - 9*z**3/4 + 3*z**2 + 3*z + 45. Suppose x(y) = 0. What is y? -1, -2/5, 1, 2 Let x(d) be the third derivative of d**6/360 - d**4/24 + d**3/9 - 8*d**2. Determine y so that x(y) = 0. -2, 1 Let n(b) be the second derivative of -1/15*b**6 - 1/12*b**4 + 6*b - 1/84*b**7 + 0*b**3 + 0 + 0*b**2 - 1/8*b**5. Find f such that n(f) = 0. -2, -1, 0 Let c(d) = 8*d**4 + 4*d**3 - 8*d**2 - 9*d + 5. Let u(i) = i**4 + i**3 - i + 1. Suppose -6 = -3*p, 3*a - 5*p = -a - 6. Let r(o) = a*c(o) - 5*u(o). Factor r(x). x*(x - 2)*(x + 1)*(3*x + 2) Suppose 4*b + 35 = -149. Let g = -46 - b. Suppose g - 14/13*q**2 + 4/13*q - 4/13*q**3 + 14/13*q**4 = 0. Calculate q. -1, 0, 2/7, 1 Find v such that -2/3*v + 2/3*v**3 + 0 + 0*v**2 = 0. -1, 0, 1 Let -2/3*q**2 + 0 - q + 1/3*q**3 = 0. Calculate q. -1, 0, 3 Let j(z) be the third derivative of -z**5/40 - z**4/8 - z**3/4 - 7*z**2. Factor j(q). -3*(q + 1)**2/2 Let v = 175 + -347/2. Factor -3/2*i**4 + i**3 + 1/2 + 1/2*i**5 + i**2 - v*i. (i - 1)**4*(i + 1)/2 Let q be 4/(-10)*30/(-8). Solve -q*z**2 + 0*z + 3/2 = 0 for z. -1, 1 Factor v + 0 - 1/5*v**2. -v*(v - 5)/5 Suppose -18*g + 20*g + 2*o + 6 = 0, 4*o + 12 = g. Suppose 2/9*j**2 + g + 4/9*j = 0. Calculate j. -2, 0 Let i(k) be the third derivative of k**6/360 + k**5/90 + k**4/72 + 5*k**2. Find x, given that i(x) = 0. -1, 0 Let s(c) be the second derivative of -c**4/48 + c**3/2 - 9*c**2/2 - 3*c. Solve s(n) = 0. 6 Suppose 34 = 3*j + 28. Let y(b) be the second derivative of 2*b + 1/6*b**3 - 1/42*b**7 - 1/6*b**4 + 0*b**5 + 0*b**j + 1/15*b**6 + 0. Factor y(o). -o*(o - 1)**3*(o + 1) Let y(p) be the third derivative of p**7/105 - p**6/30 + p**5/30 + 4*p**2. Factor y(b). 2*b**2*(b - 1)**2 Solve -12/7*n**2 + 0 + 0*n - 2*n**3 + 6/7*n**4 = 0 for n. -2/3, 0, 3 Let w(g) = -g**2 + g. Let r(z) = 3*z**2 - 10*z - 5. Let x(q) = r(q) + 4*w(q). Factor x(m). -(m + 1)*(m + 5) Let b(d) = -4*d**4 + 8*d**3 + d + 5. Let w(h) = -5*h**4 + 9*h**3 + 2*h + 6. Let x(f) = 6*b(f) - 5*w(f). Determine c, given that x(c) = 0. -2, 0, 1 Let d(h) be the second derivative of -h**4/36 + h**3/18 + h**2 - 18*h. Factor d(k). -(k - 3)*(k + 2)/3 Let z(s) be the first derivative of -s**6/6 + 3*s**5/5 - s**4/2 - 2*s**3/3 + 3*s**2/2 - s - 2. Factor z(y). -(y - 1)**4*(y + 1) Suppose -4*i + 1 = g - 11, 3*g + 9 = 3*i. What is t in t - 3/2*t**2 + 0 + 1/2*t**i = 0? 0, 1, 2 Let b(a) be the second derivative of -a + 0*a**4 + 1/75*a**6 + 0 + 0*a**2 - 1/50*a**5 + 0*a**3. Factor b(k). 2*k**3*(k - 1)/5 Suppose -15*n + 233 = 158. What is i in 0*i**2 + 0*i + 0 + 2/11*i**n - 2/11*i**3 + 0*i**4 = 0? -1, 0, 1 Suppose -a + 12 = 2*a. Factor -2*s**2 + 3 + a*s + 3 - 2 - 6. -2*(s - 1)**2 Let z be (-3)/((-1008)/68) + (-6)/(-8). Let k(g) be the second derivative of 4/7*g**2 + 0 - 3*g - z*g**3 + 25/42*g**4. Factor k(i). 2*(5*i - 2)**2/7 Let b(g) be the third derivative of -g**7/525 + g**6/300 + g**5/75 + 18*g**2. Determine m, given that b(m) = 0. -1, 0, 2 Let f(t) be the first derivative of -t**6/420 + t**4/84 + 5*t**2/2 + 2. Let u(i) be the second derivative of f(i). Factor u(o). -2*o*(o - 1)*(o + 1)/7 Suppose -35 = -5*j - 4*u, 30 = -0*j + 5*j + 3*u. Suppose 9 + 2*a**2 - j*a**2 + 0*a**2 - 2*a**2 + 6*a = 0. Calculate a. -1, 3 Factor 2*q - 1/2*q**2 - 2. -(q - 2)**2/2 Factor -4/11*a + 0 + 2/11*a**3 + 2/11*a**2. 2*a*(a - 1)*(a + 2)/11 Let u be (-2)/(-2) - (-5)/(-7). Let h = 737 - 734. Factor 24/7*c + 16/7 + 12/7*c**2 + u*c**h. 2*(c + 2)**3/7 Let z(q) be the first derivative of -q
{ "pile_set_name": "DM Mathematics" }
398)/(-5929) + (-148)/407. Sort 0.05, 0, t, 0.2, -2/3. -2/3, 0, t, 0.05, 0.2 Let t = 152.97 + -0.97. Let u = 153 - t. Let x = 61 + -61.8. Sort x, u, 0 in descending order. u, 0, x Let p be (255/(-68) + 2/(-1))*-4. Suppose p = -2*d - d + b, 5*d + 3*b = -29. Put d, 4, -2 in increasing order. d, -2, 4 Let w be 3 + 93/36 - (-4)/6. Let t = w + -97/20. Put t, -3/2, -1, -1/9 in increasing order. -3/2, -1, -1/9, t Suppose 5*h = -2*p + 95 + 33, p = -2*h + 50. Sort -11/2, h, 0.5 in decreasing order. h, 0.5, -11/2 Let a be 216/270 - ((0 - -1) + -1). Put 4, 0.45, a in descending order. 4, a, 0.45 Suppose 106 = -228*q - 201 - 149. Put -1, q, -3, 45 in descending order. 45, -1, q, -3 Suppose 3*i + 64 = 4*n, -i + 80 = -22*n + 27*n. Put 0.4, -4, n, -6 in increasing order. -6, -4, 0.4, n Let w = 31 + 25. Let a = -54 + w. Let d = -0.8 + 0.7. Put a, 0.06, d in decreasing order. a, 0.06, d Let h = -734 - -5869/8. Suppose a - 5*a + 20 = 0. Sort h, a, -0.3 in increasing order. h, -0.3, a Let q = -20476 - -20408. Sort -8, 0, q in decreasing order. 0, -8, q Suppose 1 = 2*b - b - 4*g, 4*b - 25 = -5*g. Suppose 2*q + 3 = -3. Let l be 309/206*32/(-6). Sort b, l, q in decreasing order. b, q, l Let o = 16.31 + -19.31. Put o, -5, 2, 28/3 in descending order. 28/3, 2, o, -5 Suppose 6*h + 165 - 27 = 0. Let g(q) = 3*q - 9. Let s be g(-4). Let c = s - h. Put c, 5, -1 in descending order. 5, c, -1 Let z = -12992/3 + 4330. Sort -1/6, 2/85, z, -0.2 in descending order. 2/85, -1/6, -0.2, z Let t(s) = -s - 2. Let j be ((-2)/(-4))/((-1)/8). Let f be t(j). Suppose m = 10, -23*l + 26*l + 4*m - 40 = 0. Sort 3, f, l in increasing order. l, f, 3 Suppose 2*t - l - 1333 = 0, -3*l = 2*t - 6*t + 2663. Let v = -673 + t. Sort -1, 4, v, -59. -59, v, -1, 4 Suppose 28*t - 23*t - 35 = 5*l, -4*t + 4 = 4*l. Let u be (-2 + 1)/(6/2). Sort -3/7, -1/5, u, l in decreasing order. -1/5, u, -3/7, l Let v = 97 - 95. Let q(k) = k**2 - 4*k + 6. Let i be q(v). Put i, 0.04, -0.1, 5 in decreasing order. 5, i, 0.04, -0.1 Let j = 451/5 + -90. Suppose 26*o - 24 = 18*o. Sort -5, -20, o, j in descending order. o, j, -5, -20 Let b = 18156 - 18116. Sort -3/2, b, -2/19. -3/2, -2/19, b Let c = 591 + -399. Let a = c - 166. Sort a, -5, -0.5, -4/3 in descending order. a, -0.5, -4/3, -5 Let a be 0 - ((-3)/(-6))/((-297)/108). Sort a, -454, 1 in decreasing order. 1, a, -454 Let h(k) = 26*k**3 + 19*k - 8*k**2 - 15*k**3 + 4 - 10*k**3. Let w be h(5). Put -4, w, -2 in descending order. w, -2, -4 Let x = 972 + -968. Let a(m) = 4*m**2 + 8*m - 5. Let u be (-20)/(-6)*(-72)/60. Let y be a(u). Put -2, x, y in descending order. y, x, -2 Let c be (28*-2)/(-8) + -1. Suppose 4*o + 12*o + 16 = 0. Put o, c, -4 in decreasing order. c, o, -4 Let j = -44.6 + 40.4. Let k = 64.8 - 72. Let v = k - j. Put 0, v, -5 in increasing order. -5, v, 0 Suppose -r + 75 = 4*f - 10*r, 2*f - 2*r - 50 = 0. Sort f, 1, 47, 4 in descending order. 47, f, 4, 1 Let v be 1*3/2 + 35/10. Let i = -20.6 - -21. Suppose -3*p - 3*p = -9*p. Sort i, v, p, -2. -2, p, i, v Suppose 0 = 52*m + 126 + 30. Let i = -34 - -33. Sort i, -2, 1, m in descending order. 1, i, -2, m Let u = -1141 + 1136. Sort u, 5, -9, 4, -4 in increasing order. -9, u, -4, 4, 5 Let a = -17.54 - 1.76. Let i = 23.3 + a. Put i, 1/5, 11 in descending order. 11, i, 1/5 Let z = -2723 - -2476.8. Let x = z - -255. Sort 0.1, x, 1/7 in descending order. x, 1/7, 0.1 Let h = 2576471/7 + -368696. Let o = -629 - h. Sort 3, 1, o, 9 in descending order. 9, 3, 1, o Let m be 4/(-10) + (-132)/(-30). Suppose -4*g = -m*k + 12, -4*k + 27 = k - g. Let j be (-5 - 24/(-6))/(5/(-5)). Put -1, j, k, -0.5 in ascending order. -1, -0.5, j, k Let x be (-86)/18 + 5 - 0. Sort -1.1, 7, -2/9, 0.1, x in ascending order. -1.1, -2/9, 0.1, x, 7 Suppose 4*a + 7 = 35. Suppose -7 = a*x + 28. Let b be 7/(28/452)*-1. Put b, 2, x in increasing order. b, x, 2 Let f = 2202 - 2191. Let m = 10.92 + -11. Sort -5, m, f in decreasing order. f, m, -5 Let h(a) = -a**2 - 6*a - 5. Let r be h(-4). Suppose -320*u + 4 = 3*w - 325*u, -67*w + 4*u = 126. Let g be ((-18)/(-5))/(3/10). Sort g, r, 4, w. w, r, 4, g Let l be (-11)/28 - 4/(-16). Let o = 2.806 - 2.706. Sort o, l, 2 in ascending order. l, o, 2 Let a be ((-82)/42 + (-82)/(-287))*(-9)/3. Put -3, a, -1, 56 in ascending order. -3, -1, a, 56 Let c = -9 + 6. Let l = 1.1953 + -1.0953. Put 3, l, c in ascending order. c, l, 3 Suppose 2*f - 2 + 0 = 0. Let w be 2*(-45)/(-6)*36. Suppose -95 = 559*c - w*c. Put 8, f, c, -4 in ascending order. c, -4, f, 8 Let x = 5574.6 + -5569.6. Let c = -0.5 + 0.4. Let q = 373/4 - 94. Sort q, x, c in descending order. x, c, q Let r(l) = -l**3 + 6*l**2 - 5*l + 3. Let t be r(5). Let g(m) = 2*m**3 + 38*m**2 + 18*m - 15. Let s be g(-18). Let k = s - 305. Put t, 13, k in decreasing order. 13, k, t Suppose 5*k - 31 + 11 = 0. Let z be (-54)/(-2) - (k + -5). Let d = z + -31. Put 1, d, 4 in ascending order. d, 1, 4 Let i = -0.0026 + 0.4086. Let u = -0.094 - i. Suppose 4*a + 7 = -9. Sort a, u, 2/3 in increasing order. a, u, 2/3 Suppose -4*b = -0*b + 3*r + 66, 4*b = 5*r - 82. Let w be b/(-5) + (-8)/20*-1. Sort -7, 2, w, 1 in ascending order. -7, 1, 2, w Let u = -116/141 - -23/47. Let l be 1 + 2/(10/(-15)). Put l, 4, u, 0.1 in descending order. 4, 0.1, u, l Let g be 10 + 80/(4 + -12). Let z = 1 + 11. Let x = -7 + z. Put x, g, 2 in decreasing order. x, 2, g Let x = -0.4 + 0.4. Let t be (32 + (-2420)/75)/(4/(-6)). Sort -50, t, x in ascending order. -50, x, t Let n = -1063/18 + 119/2. Let t = -7.98 - -11.5. Let r = -0.52 + t. Sort n, 2/11, r. 2/11, n, r Let p(h) = -h - 12. Suppose -2*t + 10 - 24 = 0. Let r be p(t). Sort -8, r, -4 in descending order. -4, r, -8 Let g = -1105.0545 + 0.0545. Let x = g - -1106. Let o = -7 + 33/5. Put x, o, 0.5, -2 in descending order. x, 0.5, o, -2 Let g = 22229 - 22234. Put -3, 7/3, g, -4, -0.3 in decreasing order. 7/3, -0.3, -3, -4, g Let p = -2700 - -2700.5. Put -98, -4, p, 25 in decreasing order. 25, p, -4, -98 Let o = 14429 + -14430. Sort -5, -612, o in increasing order. -612, -5, o Let i = -9 + 0. Let n = i - -4. Let b = 5435 + -5436. Sort b, n, -3 in decreasing order. b, -3, n Let u = 13643 + -13646. Sort -26, u, -4. -26, -4, u Let y be 96/117 - (5/3 - (-46 + 47)). Sort 213, 2, y in ascending order. y, 2, 213 Let v = -0.1 + -0.9. Let c = 0.04 - -0.46. Let h = -755 + 760. Sort v, -2/9, h, c. v, -2/9, c, h Let k = -167 + 95. Let m = 28875 + -202127/7. Sort k, 2/3, m in descending order. 2/3, m, k Let t = -7.275 - -7.375. Put -3, 1, -2/13, t, 0.05 in ascending order. -3, -2/13, 0.05, t, 1 Let d(t) = 0 - 1 + 2*t + 0 + 3. Let l be d(-3). Let h = 371 - 5567/15. Sort h, l, -1/5 in ascending order. l, -1/5, h Let r = -0.874 - 0.026. Let p = 2.9 + r. Let g = -1/7 - 4/21. Put p, g, -2/13, -2 in ascending order. -2, g, -2/13, p Let b = -0.1051 - 261.3949. Let i = 262 + b. Sort 0, -9, 3/2, i in ascending order. -9, 0, i, 3/2 Suppose 0 = 2*l + 8, -5*l = 2*z - 3*l + 12. Let x = -5 - 7. Suppose 2*s = m - 3*s + 10, -3*s = -m - 6. Sort -3, z, x, m. x, -3, z, m Let i = 0.02267 + -0.01267. Put -4/3, 8, -2, i, 2 in decreasing order. 8, 2, i, -4/3, -2 Let u = -0.08289 + -4.91711. Put 1/3, -0.4, 1.1, u, -2/45 in increasing order. u, -0.4, -2/45, 1/3, 1.1 Let n = -10.9 - -10. Let v = 5.9 + n. Suppose -75*g = -71*g + 3*y - 1, -y = 5. Put v, 3, g in descending order. v, g, 3 Let i(n) = 2*n**2 - 32*n - 211. Let g be i(-5). Put -2, g, 2, 6 in ascending order. -2, g, 2, 6 Suppose -101*q - 5*q - 212 = 0. Put q, 37, 2 in decreasing order. 37, 2, q Suppose -9*l - 25 = -4*l. Let x = -12 - -21. Let d = x + -13. Sort l, 11, d. l, d, 11 Let p = 6 + -5.9. Let l be (-2)/14 + (-8)/(-28). Let s = -2010 - -2010. Sort p, l, 5/6, s. s, p, l, 5/6 Let l = -155 + 152. Let n = -0.2162 + 4.2162. Put l, 0.3, -2/9, n in descending order. n, 0.3, -2/9, l Let z = 643 - 642.6. Let p = -56 + 55. Put p, z, 0 in decreasing order. z, 0, p Suppose 0 = 3*b + 4*n - 10 + 3, -5*n + 15 = 5*b. Let u be (2/b)/(16/(-160)). Let a be (8*(-5)/10)/(-6). Put a, u, 2, 0.5 in descending order. 2, a, 0.5, u Suppose -5*x = 4*f - 1 - 11, 0 = -2*x - f + 6. Let v(j) = j**2 - 7*j + 8. Let g be v(6). Let w be g + 0 + -2*1. Sort w, x, -1, -8 in ascending order. -8, -1, w, x Let t be (12 - (-90)/(-8)) + 30/24. Sort -220, 3, -3, 0, t. -220, -3, 0, t
{ "pile_set_name": "DM Mathematics" }
- 2*s**4 + 6*s**3 + 2*s. Factor i(w). 4*w*(w - 3)**2 Suppose 10*p**3 - 3*p**2 + 18*p**4 - 24*p**4 - 2*p + p**2 = 0. Calculate p. -1/3, 0, 1 Let r be -11 - (-4 - -1) - 1. Let b be (r/(-9))/((-2)/(-6)). Factor -1/5*i**b - 3/5*i + 3/5*i**2 + 1/5. -(i - 1)**3/5 Let p(s) = 7*s**3 + 11*s**2 - 5*s - 8. Let t be (10/(-8))/(4/16). Let v(a) = -11*a**3 - 17*a**2 + 8*a + 12. Let b(f) = t*v(f) - 8*p(f). Let b(c) = 0. What is c? -2, 1 Let y(g) be the first derivative of -g**4/6 + g**3/3 + 2*g**2 - 2*g + 1. Let f(n) be the first derivative of y(n). Factor f(o). -2*(o - 2)*(o + 1) Suppose 60/11*s**2 - 50/11*s**3 - 18/11*s + 0 = 0. What is s? 0, 3/5 Factor 1/3*b**2 - 1/6*b**4 - 1/6 - 1/6*b + 1/3*b**3 - 1/6*b**5. -(b - 1)**2*(b + 1)**3/6 Let n(j) be the second derivative of -3*j**5/5 + 32*j**4/3 - 94*j**3/3 + 36*j**2 - 2*j - 12. Factor n(b). -4*(b - 9)*(b - 1)*(3*b - 2) Let g(x) be the second derivative of x**5/90 + x**4/18 - x**3/27 - x**2/3 - x - 23. Suppose g(o) = 0. What is o? -3, -1, 1 Let p = 55 - 53. Determine o so that 2/3*o**p - 4*o + 6 = 0. 3 Suppose -59*c = -48*c. Solve -4/5*f + 0*f**3 + c + 2/5*f**4 - 6/5*f**2 = 0. -1, 0, 2 Let w be 4*(-1 + 3)/4. Suppose -c + c + 6*c**4 + 5*c**w + 6*c**3 + 2*c**5 - 3*c**2 = 0. What is c? -1, 0 Let v(g) be the first derivative of -g**6/2 - 48*g**5/25 - 51*g**4/20 - 6*g**3/5 - 8. Suppose v(u) = 0. Calculate u. -6/5, -1, 0 Let k(m) be the third derivative of 3*m**8/224 - 13*m**7/140 + 19*m**6/80 - 11*m**5/40 + m**4/8 + 15*m**2. Let k(o) = 0. Calculate o. 0, 1/3, 1, 2 Let t(a) be the first derivative of a**4 - 8*a**3/3 + 2*a**2 - 12. Factor t(j). 4*j*(j - 1)**2 Let r(o) be the first derivative of 5*o**6/4 - 12*o**5/5 - 3*o**4/2 + 5*o**3 - 3*o**2/4 - 3*o + 39. Let r(y) = 0. What is y? -1, -2/5, 1 What is j in 9/7*j**4 + 0*j + 0 + 3/7*j**3 - 6/7*j**2 = 0? -1, 0, 2/3 Let j be (-28)/(-6) + (-11)/(-33). Let a(g) be the second derivative of -1/21*g**3 + 0*g**2 - 1/70*g**j + 1/21*g**4 - 2*g + 0. Suppose a(t) = 0. Calculate t. 0, 1 Suppose 2*a - 6 = 2. Suppose -a*x - 3*f = -17, 8*f = 4*x + 3*f + 7. Suppose 4*o**4 + 5*o - 7*o + 0*o**4 + 2*o**3 - 2*o**4 - 2*o**x = 0. Calculate o. -1, 0, 1 Solve -18*v**4 - 19*v**2 - 26*v**3 - 3*v**5 - 17*v**2 - 13*v**3 - 12*v = 0 for v. -2, -1, 0 Suppose 13 = 4*w + 5. Let -35*j**5 - 16*j - 80*j**w - 48*j**3 - 8 + 8 + 116*j**4 = 0. What is j? -2/5, -2/7, 0, 2 Let c = -769/3 + 257. Factor 1/3*z**2 - c + 1/3*z. (z - 1)*(z + 2)/3 Let n = 2 + -5. Let m(k) = -8 - k**2 - k**3 - k + 8. Let t(z) = 4*z**3 + 4*z**2 + 2*z - 1. Let s(r) = n*m(r) - t(r). Find j, given that s(j) = 0. -1, 1 Let y be 143/6 - 4/(-6). Let c = y + -24. Factor 1/2*u**2 - u + c. (u - 1)**2/2 Let q(b) = b**4 - 5*b**3 - 10*b**2 + 4*b + 4. Let z(m) = 6*m**4 - 36*m**3 - 69*m**2 + 27*m + 27. Let d(h) = -27*q(h) + 4*z(h). Determine c, given that d(c) = 0. -2, -1, 0 Let d(t) be the first derivative of t**6/60 - t**5/10 + 5*t**4/24 - t**3/6 + t - 3. Let g(x) be the first derivative of d(x). Factor g(o). o*(o - 2)*(o - 1)**2/2 Let y(q) be the first derivative of q**6/16 + q**5/4 + 3*q**4/8 + q**3/4 + q**2/16 + 32. Factor y(u). u*(u + 1)**3*(3*u + 1)/8 Suppose i = -2 + 6. Suppose -q + 20 = i*q. Determine r, given that 18*r**2 - 2 + q - 8*r**3 - 10*r - 2*r = 0. 1/4, 1 Let c = -16675/3 + 5480. Let r = 79 + c. Determine g so that -r*g + 0 + 0*g**2 + 2/3*g**3 = 0. -1, 0, 1 Let y(m) be the second derivative of -m**6/180 - m**5/30 - m**4/12 - m**3/3 + 2*m. Let s(d) be the second derivative of y(d). Factor s(h). -2*(h + 1)**2 Let j(n) = n**3 + 2*n**2 - n. Let x be 1/(10/(-4) - -2). Let g be j(x). Suppose -2 - g - q**2 + 7 - 2 = 0. What is q? -1, 1 Let a(h) be the first derivative of h**4/2 - 7*h**3/3 + 2*h**2 - 3*h - 1. Let z(v) be the first derivative of a(v). Factor z(o). 2*(o - 2)*(3*o - 1) Let w(x) be the second derivative of -x**5/40 - x**4/3 - 7*x**3/12 + 16*x. Find r, given that w(r) = 0. -7, -1, 0 Let b(d) be the first derivative of d**7/210 + d**6/90 - 2*d**3 + 1. Let z(t) be the third derivative of b(t). Find p such that z(p) = 0. -1, 0 Suppose -4*b + 10 = -b - 4*j, 3*j = -4*b + 5. Find k, given that -2/9*k**3 + 0*k**b + 2/9*k + 0 = 0. -1, 0, 1 Let s be -2 + 0 + 1 + 6. Determine n, given that 0*n**3 - n**5 + 2*n**s + n**5 - 2*n**3 = 0. -1, 0, 1 Let f(p) be the second derivative of 0 - 4*p - 1/6*p**4 + 0*p**2 + 3/20*p**5 + 1/12*p**3 - 1/15*p**6 + 1/84*p**7. Suppose f(q) = 0. What is q? 0, 1 Let m(u) = 48*u**3 + 26*u**2 - 23*u + 3. Let p(i) = -480*i**3 - 261*i**2 + 231*i - 30. Let z(o) = -21*m(o) - 2*p(o). Determine g so that z(g) = 0. -1, 1/4 Let y(r) = -5*r**5 + 30*r**4 - 60*r**3 + 34*r**2. Let k(g) = -5*g**5 + 30*g**4 - 60*g**3 + 33*g**2. Let w(u) = -6*k(u) + 7*y(u). Let w(m) = 0. What is m? 0, 2 Let c(t) = -3*t + 20. Let k be c(5). Let j(u) be the first derivative of 0*u - 3 + 6*u**4 - 8/3*u**3 - 2*u**k + 0*u**2. What is r in j(r) = 0? 0, 2/5, 2 Let l(h) be the first derivative of h**4 + 8*h**3 + 24*h**2 + 32*h - 18. Factor l(d). 4*(d + 2)**3 Let u(h) = 5*h**2 + 2*h + 3. Suppose -2*b + 5*b = -2*s - 2, 0 = -5*b - 2*s + 2. Let x(o) = o**3 - 1. Let g(r) = b*u(r) + 6*x(r). Factor g(d). 2*d*(d + 1)*(3*d + 2) Let o(x) = x**2 - 9*x - 9. Let q be o(10). Let s be (2/(-8)*0)/q. Let s - 1/2*m**4 + 0*m**3 + 0*m**2 + 0*m + 1/2*m**5 = 0. Calculate m. 0, 1 Let r be (-35)/(-14)*(-4)/(-5). Suppose -9*b**2 + 6*b**3 + 3*b**r - 3*b**5 + 17 + 19 - 33 + 3*b**4 - 3*b = 0. Calculate b. -1, 1 Let q(r) be the third derivative of -1/15*r**5 + 1/168*r**8 + 0 + 0*r - 1/30*r**6 + 1/12*r**4 - 3*r**2 + 1/105*r**7 + 1/3*r**3. Solve q(i) = 0. -1, 1 Let t(y) be the second derivative of -1/14*y**4 + 3/7*y**2 + 0 - 3/14*y**3 - 2*y. Factor t(a). -3*(a + 2)*(2*a - 1)/7 Factor -3/2*k**3 + 0*k**2 + 9/2*k - 3. -3*(k - 1)**2*(k + 2)/2 Factor 2 - 2*s**2 - 1/2*s**3 + 1/2*s. -(s - 1)*(s + 1)*(s + 4)/2 Let x(l) be the second derivative of -l**6/5 + 3*l**5/20 + 9*l**4/8 + 11*l**3/8 + 3*l**2/4 - 15*l. Factor x(b). -3*(b - 2)*(2*b + 1)**3/4 Factor 4*u**3 - 104*u**2 + 55*u**2 - 4*u - 4 + 53*u**2. 4*(u - 1)*(u + 1)**2 Suppose -4/3*u**3 + 4/3*u**2 - 4/3*u**4 + 4/3*u + 0 = 0. What is u? -1, 0, 1 Let h = -28 - -30. Let t(v) be the first derivative of 4/3*v + 1/9*v**3 + 2/3*v**h - 1. Suppose t(x) = 0. Calculate x. -2 Let n = 2437/3065 - -3/613. Factor -n - 2/5*f**3 - 2*f - 8/5*f**2. -2*(f + 1)**2*(f + 2)/5 Let d = -112 + 114. Let z(f) be the first derivative of -2*f**3 + 1/2*f**6 + 9/5*f**5 + 3/2*f**4 - 9/2*f**d - 3 - 3*f. Factor z(j). 3*(j - 1)*(j + 1)**4 Let m = -10 + -6. Let a = m + 18. Factor 2/7*i**a + 0*i + 0. 2*i**2/7 Let b(a) be the first derivative of a**4/12 + a**3/2 + 4*a - 3. Let m(c) be the first derivative of b(c). Determine h, given that m(h) = 0. -3, 0 Let x = -12 + 14. Factor 5*j**x - 45*j**3 + 49*j**3 - 4*j - j**2 - 4. 4*(j - 1)*(j + 1)**2 Let z be ((-104)/65)/(-3*(-2)/(-10)). Determine s so that 2/3*s**2 + 8/3*s + z = 0. -2 Let w = -3 - -6. Factor -m + 2*m**w + 3*m - 2*m - m**2. m**2*(2*m - 1) Let y(d) be the second derivative of -11*d**4/30 - 23*d**3/15 - 12*d**2/5 - 2*d + 5. Factor y(m). -2*(m + 1)*(11*m + 12)/5 Let k = 9 - 4. Let o(h) be the first derivative of -8/5*h**k + h**2 - 8/3*h**3 + 1/3*h**6 + 3*h**4 + 0*h + 1. Solve o(n) = 0 for n. 0, 1 Let n(z) be the first derivative of -4*z**5/25 - 3*z**4/10 - 2*z**3/15 + 4. Solve n(o) = 0. -1, -1/2, 0 Let l be ((4 + -1 + -3)/(-3))/(-1). Determine g so that -4/9*g + 10/9*g**2 + l - 8/9*g**3 + 2/9*g**4 = 0. 0, 1, 2 Let q(v) be the first derivative of 4/7*v**2 - 1 + 12/35*v**5 + 13/14*v**4 + 1/21*v**6 + 8/7*v**3 + 0*v. Factor q(f). 2*f*(f + 1)**2*(f + 2)**2/7 Let x(j) = -j**4 - j**3 + 8*j**2 - 6*j - 6. Let i(w) = -w**2 + w + 1. Let k(c) = -6*i(c) - x(c). Let k(v) = 0. Calculate v. -2, 0, 1 Let f(a) be the second derivative of a**9/6048 - a**7/840 + a**5/240 - a**3/2 - a. Let u(w) be the second derivative of f(w). Factor u(k). k*(k - 1)**2*(k + 1)**2/2 Let h(g) = -2 + 4 - 5 - g. Let m be h(-6). Let l**2 - 4 + l**m + 4 = 0. What is l? -1, 0 What is r in -2/7*r + 0 - 6/7*r**2 - 4/7*r**3 = 0? -1, -1/2, 0 Let v be (1 + (-1)/(-5))*1. Let y(l) be the second derivative of 0 + v*l**3 + 2*l - 27/20*l**4 - 2/5*l**2. Factor y(x). -(9*x - 2)**2/5 Let k be 2*4/8*27. Let y = 27 - k. Determine r, given that -1/3 + 1/3*r**2 + y*r = 0. -1, 1 L
{ "pile_set_name": "DM Mathematics" }
19 - 22)*(14 - 14 + 5*g)) to t + n*g and give n. 142 Express -17*p - 4 + 57*p**4 + 0*p**2 + 0 + p**2 - 28*p**4 - 31*p**4 as j*p + u + w*p**4 + t*p**2 + v*p**3 and give w. -2 Express -9*y**4 + 2*y**2 - 1 - 5*y**3 - 84*y + 0*y**2 + 8*y**4 - 6*y as z*y**4 + i*y + g*y**3 + j + l*y**2 and give z. -1 Express (4 + 11 + 3)*(-2*v + v + 0*v)*(19*v**2 - 14*v**2 + 90*v**2) in the form w + m*v + c*v**3 + b*v**2 and give w. 0 Express (3 + 0 - 1)*(9 - 6 - 1)*(-4*t + 9*t - 12 - 7*t)*(-3*t + t + 0*t)*(-5*t + 6*t + 2*t) in the form g + z*t**2 + p*t + c*t**3 and give c. 48 Rearrange -3*z**3 + 21859*z**2 + 2 + 207*z - 21860*z**2 + 2*z**3 - 2*z**4 - 2*z**3 to q + x*z + c*z**3 + s*z**4 + f*z**2 and give x. 207 Rearrange -6792*b**3 + 19 + 5*b + 3389*b**3 + 3409*b**3 to s*b**2 + f*b + c + l*b**3 and give c. 19 Express 43077 - 1820*q - 21538 - 21539 in the form u*q + g and give u. -1820 Rearrange (v - 3*v + 3*v)*(8553 - 8553 - 5974*v**2) to the form j + y*v**3 + c*v**2 + n*v and give y. -5974 Rearrange (-79*y**3 - 35*y**4 + 79*y**3)*(-3 - 21 + 3)*(12 - 11 - 6) to the form m + g*y + u*y**3 + n*y**4 + o*y**2 and give n. -3675 Rearrange 8 - 20 + 2036*l - 1 + 1 + 11 to the form x + q*l and give x. -1 Express -5*h - 399*h**3 + 50*h**2 - 2*h**4 + 3*h**2 + 4*h**4 - 54*h**2 as f*h**4 + k*h + m*h**3 + v*h**2 + d and give f. 2 Rearrange (-5 - 1 - 3 + (-5 + 1 + 3)*(0 + 9 - 5) + 6 + 1 + 1)*(2*r**2 - 2*r**2 - r**2) to f*r + a + h*r**2 and give h. 5 Rearrange 7*y**2 + 3657*y**3 - 7324*y**3 + 3648*y**3 to g*y**2 + v*y**3 + w + o*y and give v. -19 Rearrange 2*t - 1244 - 61*t**2 + 41*t**2 + 1241 to j*t + h + l*t**2 and give h. -3 Express 4*a**2 - 4*a**3 - 25401*a + 5*a**3 + 33 + 25403*a as b*a + x*a**2 + g + z*a**3 and give x. 4 Rearrange -16*m**3 - 2*m + 2 + 21*m**2 + 5*m**4 - 16*m**3 - 18*m**2 + 10*m**3 to w*m**2 + k*m**4 + f*m + u + h*m**3 and give w. 3 Express 22*i - 14*i - 9*i + 17*i**2 + 31*i**2 in the form m*i + o + v*i**2 and give m. -1 Express -31*u**2 - 75*u**2 - 2*u**2 + 2 + (7 + 35*u - 7)*(0*u - 2*u + u) as y*u + m*u**2 + k and give k. 2 Rearrange -3*d - 3 - d - 13629*d**3 + 13628*d**3 + 49*d**2 + 2*d to z*d**2 + t + k*d**3 + g*d and give z. 49 Rearrange o**3 + 0 + 0 + (0 + 0 + 2*o)*(4 - o**2 - 4) + 19 + 32*o**3 + 7*o**3 - 22 to i*o**3 + q + h*o**2 + n*o and give i. 38 Rearrange (7*l**4 + 8*l**4 - 3*l**4)*(255 - 28 - 221 + 490 + 505) to the form u*l**3 + b*l**4 + z*l + m*l**2 + g and give b. 12012 Rearrange (18*u - 6*u - 10*u)*(9 - 9 + 5) - 3*u + 5*u + 0*u to the form b + n*u and give b. 0 Rearrange -557*h**2 + h + 982*h**2 + 1081*h**2 + 1232*h**2 to u*h + z + b*h**2 and give b. 2738 Express 5*d - 2*d - 10*d + (-3*d - d + 5*d)*(1 + 1 - 1) + 3 - d - 3 + (81 - 63 + 134)*(0 + 3 - 2)*(-4 + 4 - 3*d) in the form w*d + i and give w. -463 Rearrange (7*n - 3*n + 9*n)*(177*n - 19*n**2 - 177*n) + 37*n**3 + 3887*n - 3887*n to f*n + s*n**2 + l + a*n**3 and give a. -210 Rearrange 87 + 11*j + 49 - 8*j + 7 + j**2 to the form p + f*j + h*j**2 and give f. 3 Rearrange -81*p + 14*p**3 + 0*p - 7*p**2 + 30*p - 15*p**3 to the form f*p**2 + c*p**3 + o + b*p and give b. -51 Express 15*t**2 - 5*t**2 + 23*t**2 + (-t + 0*t - 4*t)*(-20 + 20 + 2*t) + 4*t - 4*t + 2*t**2 as n*t**2 + m*t + l and give n. 25 Express 3143 + 124*u**3 + 22*u**4 + 3139 + u - 6282 - 43*u**3 as j + h*u**3 + k*u**2 + w*u + s*u**4 and give s. 22 Rearrange 35*o + 10*o**4 - 14*o**4 - 40*o**4 + o**4 - 25*o**4 - 3*o**2 to the form l*o**3 + q*o**4 + m*o**2 + d*o + v and give q. -68 Express (-4 - 5 - 9)*(-114*w**4 - 235*w**4 - 304*w**4) as p*w + m + t*w**3 + v*w**2 + s*w**4 and give s. 11754 Rearrange (10*g**2 - 9*g**2 + 0*g**2)*(26*g + 107*g + 155*g - 40*g - 1) to the form x*g**2 + k*g**3 + j*g + d and give x. -1 Express -447*i**2 + 64 - 64 - 404*i**2 as h*i**2 + c + o*i and give h. -851 Express 0*u - 5*u - 64 + 2*u**3 - 54*u**4 + 65 + 53*u**4 + 7*u - 642*u**2 in the form x*u**4 + t*u + c*u**3 + v + n*u**2 and give v. 1 Express 115*q**2 + 179*q**2 - 24*q**2 + (3*q + 2*q - 6*q)*(-2*q - q - q) + (-3*q + 3*q + q**2)*(2 + 1 - 1) in the form j*q**2 + l*q + g and give j. 276 Rearrange 2*x**4 + 6*x**2 + 1507*x**3 + 12 - 5*x**2 - 1503*x**3 to the form s*x**2 + j*x + m*x**4 + a + y*x**3 and give s. 1 Rearrange (-65*x - 52*x - 123*x)*(-43*x + 20*x + 27*x + 1) to t*x + c*x**2 + k and give t. -240 Express -2*z**4 + z + 10*z**2 + 36712 + 3*z**4 - 36713 in the form b*z**4 + j*z**2 + t*z**3 + o*z + n and give j. 10 Rearrange -a + 0*a + 3*a + (-3 + 1 + 1)*(0*a + 4*a - 6*a) + 2*a - 9*a - 24*a + 62*a + 24*a + 80*a to the form h + l*a and give l. 139 Express -5873771 - 10944*i**2 + 5873771 as w*i**2 + o*i + r and give r. 0 Rearrange -5168*k - 7589*k + 6229*k to o*k + x and give o. -6528 Rearrange (-862*h**2 + 4048*h**2 + 2352*h**2)*(-4 + 3 + 3) to the form j*h + o*h**2 + a and give o. 11076 Express -7*k**2 - 47 + 9*k**3 - 20 - 140*k**3 - 30 + 128*k**3 as z + p*k + f*k**2 + l*k**3 and give f. -7 Rearrange -t**2 + 0*t**2 + 12*t**2 + (-2*t + 6*t - 3*t)*(199 - 83*t - 199) to m*t + v*t**2 + h and give h. 0 Rearrange 2858*z**2 - z**4 - 1 - 2 - z**3 + 14*z - 2857*z**2 to the form u*z**2 + x*z**4 + i*z + g + p*z**3 and give i. 14 Rearrange (27 - 83*o + 40 + 13*o - 34)*(-15 + 7 + 4) to q*o + k and give q. 280 Express -4*i**2 + 2328*i - 2 - 4648*i + 2318*i + 2*i**2 + 634*i**3 as b*i**3 + v*i + m + h*i**2 and give v. -2 Express 53 - 4*o + 380 - 896 in the form v*o + u and give u. -463 Express 22 - 106 - 2*m - 4 as g*m + o and give g. -2 Express -o + 31 + 0*o - 88*o**2 + 173*o**2 + 0*o - 87*o**2 + 13*o**4 + o**3 in the form k*o + j*o**3 + x*o**2 + h*o**4 + l and give l. 31 Rearrange -4*b**3 - 4*b**3 + 5*b**3 + 3*b**3 - 5*b**3 + 4*b**3 + (-b**3 - 2 + 2)*(-553 + 1612 + 238) to w*b + n*b**2 + z + a*b**3 and give n. 0 Rearrange -11828*d + 11619*d**2 + 11828*d to the form v*d**2 + i + k*d and give v. 11619 Express -347171*b + 2*b**3 + 347171*b + 2*b**4 + 1084*b**2 in the form v + s*b**2 + l*b**4 + y*b + p*b**3 and give s. 1084 Express -40*j**2 + 17*j**3 - 12*j**4 + 39*j**2 - 92*j + 91*j in the form w*j**4 + a*j + i*j**3 + x + t*j**2 and give i. 17 Express 253*v**3 + v + 249*v**3 - 453 - 500*v**3 + v as b*v + f*v**3 + o + s*v**2 and give f. 2 Rearrange -1367*k**2 - 3*k - 42*k - 282*k**2 + 46*k - 5*k to the form p*k + a*k**2 + g and give a. -1649 Rearrange -3380 + 6764 + 7135*o - 3384 + 21812*o to the form n*o + v and give n. 28947 Rearrange 5 + 2*f + 0*f**2 - 4 - 4*f**2 + 180*f**3 + f**2 - 178*f**3 to the form v*f**3 + d*f**2 + x*f + r and give d. -3 Express 1652 + 2*r + 885 + 2566 - 1277 - 3*r as x*r + v and give v. 3826 Express -3*z**2 - z**2 - 2696 - 478 - 329 - z**2 in the form x*z + r + v*z**2 and give v. -5 Rearrange (-21*y**2 - 77*y**2 - 21*y**2)*(14 - 17 - 4 - 23*y) to g*y + c*y**2 + p + d*y**3 and give d. 2737 Rearrange 6*w**3 + 4*w**3 - 3*w**3 + (9*w**3 + 31*w**3 - 4*w**3)*(-1 + 3 - 1) to the form j*w**2 + o + a*w + u*w**3 and give u. 43 Express 208 + 2026*m - 409 + 201 as p*m + s and give p. 2026 Express -922806*n**4 + 78*n**2 + 922804*n**4 + 3*n**3 + 81*n**3 as g*n**4 + a*n**3 + u*n + s*n**2 + i and give a. 84 Rearrange -147*b - 1289*b + 235*b to the form a + x*b and give x. -1201 Express (-m**2 - 2*m**2 + 5*m**2 - m)*(-3*m + 2418 - 2418) + (52*m**2 + 49*m**2 - 118*m**2)*(m - 2 + 0 - 1) in the form i*m + q + y*m**2 + b*m**3 and give b. -23 Express 28*b - 154 - 122*b + 158 - 158*b - 300*b as l*b + q and give q. 4 Rearrange 14*u**3 - 82503*u**2 + 2*u + 0 + 0 - u**4 - 12*u**3 + 82175*u**2 to the form d + r*u**4 + t*u**2 + h*u + k*u**3 and give r. -1 Express 2*m - 69*m**3 - 2*m**4 + 72 - 65 + m**2 + 0*m in the form l*m**4 + p*m**3 + b*m + r*m**2 + h and give p. -69 Rearrange -3 + 3*r**4 + 3 + (-49*r + 3*r - 56*r)*(r**3 - 4*r**3 + 6*r**3) to x*r**3 + a + w*r**4 + c*r**2 + q*r and give w. -303 Rearrange 22*a - 1 + 2 - 1 + a - 3*a + 0*a + (-2 - 1 - 4)*(2*a - 7*a + 3*a) + (0*a - a - a)*(1 - 1 + 3) to the form z + s*a and give s. 28 Express (0 + 0 + 3*j)*(166 + 126*j**2 - 115 - 3*j - 46) in the form n*j**3 + h + q*j + x*j**2 and give q. 15 Rearrange (0*y**3 + 0*y**3 - 6*y**4)*(11 + 5 - 7)*(0 + 0 + 3)*(-20 + 5 - 13) to m*y**4 + n*y + o*y**2 + k + p*y**3 and give m. 4536 Rearrange 11*q**2 + 1 + 2*q**3 + 16*q**2 - 25*q**2 - q**2 - 2*q + 17*q**2 to the form a*q**3 + l
{ "pile_set_name": "DM Mathematics" }
) = 2*i**2 - 19*i + 4. Let o be y(9). Let n(d) = -3*d + 4. Calculate o*p(k) + 2*n(k). 4*k - 2 Let i(z) = 13*z - 1. Let l(m) = 11*m - 1. Determine 3*i(w) - 4*l(w). -5*w + 1 Let s(r) = -4*r + 4. Let q(g) = -2*g - 3. Let j(n) = n + 1. Let t(h) = 5*j(h) + 2*q(h). Let f be (-32)/5 - 6/(-15). Determine f*t(b) - 2*s(b). 2*b - 2 Let s(y) = y - 10*y**2 + 19*y**2 - 3*y - 3*y**2. Let p(j) = -7*j**2 + 3*j. What is 2*p(i) + 3*s(i)? 4*i**2 Let o(r) = -18. Let d(f) = f - 20. Calculate -2*d(m) + 3*o(m). -2*m - 14 Let l(t) = 8*t**2 - 106*t + 13. Let k(b) = -2*b**2 + 26*b - 3. Calculate -9*k(j) - 2*l(j). 2*j**2 - 22*j + 1 Let h(d) = 14*d + 2 - 18*d - d. Suppose -3*y = -3 - 3. Let i(m) = 16*m - 6. What is y*i(n) + 7*h(n)? -3*n + 2 Let a(h) = -3*h**3 + 9*h**2 + 2*h - 7. Let v(z) be the third derivative of z**6/120 - z**5/12 - z**4/24 + 2*z**3/3 + 149*z**2 - z. What is -4*a(d) - 7*v(d)? 5*d**3 - d**2 - d Let b(l) = -l**3 - 2*l**2 + 4*l - 2. Let n(m) = -m**3 + m - 1. Let k = -242 + 244. Determine k*n(o) - b(o). -o**3 + 2*o**2 - 2*o Suppose 2*x = -4*m + 6, -x - 9 = -5*m + m. Let t(l) = l + 16 - 16. Let q(p) = 2*p - 70. Let h(r) = -r + 29. Let f(k) = -12*h(k) - 5*q(k). Give x*f(g) + 4*t(g). 2*g - 2 Let d(y) = -3. Let z(g) = 170*g - 14. What is 5*d(t) - z(t)? -170*t - 1 Let d(p) = 60*p**3 - 27*p**2 - 27. Let j(i) = i**3 - i**2 - 1. Determine -2*d(n) + 54*j(n). -66*n**3 Let p(r) be the third derivative of -r**4/3 - r**3/3 - 1829*r**2. Let b(n) = -6*n. Let s(g) = 7*g. Let a(k) = -6*b(k) - 5*s(k). Calculate -5*a(c) - p(c). 3*c + 2 Suppose 0 = 2*t - 6 + 2. Suppose -3*o - 2184 = -15*o. Let y(x) = 183*x + 0 - o*x - 1. Let z(p) = 1. Determine t*y(k) + z(k). 2*k - 1 Let h(t) = -373*t**2 + 39*t - 3. Let l(a) = -371135*a**2 + 38792*a - 2984. Determine -2984*h(b) + 3*l(b). -373*b**2 Let r(k) = -12*k + 4. Let b(j) = 36*j - 12. Give -3*b(p) - 8*r(p). -12*p + 4 Let o(q) = -15*q - 13. Let u = -11 - -18. Let b(w) = 1 - 4 - 3 - u*w + 0. Let n = 36 + -23. What is n*b(s) - 6*o(s)? -s Let b = 66 - 62. Let n(c) = -2*c**2 + 5*c + 3. Let x(j) be the second derivative of j**3/6 + j**2/2 + 5*j. Give b*x(r) - n(r). 2*r**2 - r + 1 Let q be (6/7)/(3/(-21)). Let j(n) be the second derivative of -n**3/3 + 317*n. Let s(l) = 0*l + l + l. What is q*s(z) - 5*j(z)? -2*z Let n(l) = -l**2 - 4*l + 1. Let x(r) = 12*r**2 + 21*r - 2. What is 6*n(y) + x(y)? 6*y**2 - 3*y + 4 Let w(m) = 3*m**3 + 4*m**2 - m + 31. Let q(s) = s**3 + 2*s**2 + s. Give -2*q(l) + w(l). l**3 - 3*l + 31 Let h(u) = 10*u**2 + 4*u - 1. Let x(i) = -9*i**2 - 4*i + 1. Calculate -5*h(n) - 6*x(n). 4*n**2 + 4*n - 1 Let x(g) = 41497*g**2 - 850*g - 85. Let l(d) = 1482*d**2 - 30*d - 3. What is 85*l(r) - 3*x(r)? 1479*r**2 Let i(q) = q**2 - 1. Let z(m) = 2*m**3 - 7*m**2 + 7. Let k be -2 - (1/(-1 - -2) + -4). What is k*z(x) + 5*i(x)? 2*x**3 - 2*x**2 + 2 Let z(v) = v**3 + v + 1. Suppose -3*w + 6*w - 9 = -5*q, -q = 0. Let b(x) = -x**3 - x**2 - 3*x - 3. Determine w*z(a) + b(a). 2*a**3 - a**2 Let g(r) = -2*r**3 + 2*r**2 - 9*r + 8. Let o be g(1). Let a(i) = -i**2 + 4*i**3 + 0*i**2 - 5*i**3. Let s(m) = -3*m**3 - 6*m**2. Determine o*s(y) + 6*a(y). -3*y**3 Let w(n) = 4*n - 3. Let u(m) = 2*m - 2. Let h = -721 + 727. What is h*w(q) - 11*u(q)? 2*q + 4 Let d(s) = -s. Let b = -618 + 619. Let x(z) = -z - 1. What is b*x(k) - 3*d(k)? 2*k - 1 Let y(c) = 7*c**2 + 4*c - 13. Let x(l) = -26*l**2 - 6*l + 21. Let k(n) = 8*n**2 + 2*n - 7. Let f(a) = 7*k(a) + 2*x(a). Give 5*f(v) - 3*y(v). -v**2 - 2*v + 4 Let d(q) = 1102*q**3 - 3. Let p(t) = -t**3 - 1. What is d(f) - 3*p(f)? 1105*f**3 Let l(q) = 5*q**2 + 6*q - 1. Let n(t) = t**2 - 2*t. Determine -l(m) - 3*n(m). -8*m**2 + 1 Suppose -11*o + 162 = -2*o. Let c(z) = 32 - 18 + z - o. Let t(b) = b - 7. Let r(k) = -2*k + 15. Let f(v) = -4*r(v) - 9*t(v). Calculate 5*c(i) + 7*f(i). -2*i + 1 Let i(r) = 9*r + 2*r + 2880 - 4*r - 2872. Let l(h) = 6*h + 7. What is 5*i(a) - 6*l(a)? -a - 2 Let v(b) = 105*b**3 + 20*b**2. Let h(t) = -t**3 + t**2. Give -100*h(o) + 5*v(o). 625*o**3 Let z(m) be the first derivative of -1/3*m**3 - 12 + 5/2*m**2 - 5*m. Let n(o) = -o + 1. Calculate 15*n(i) + 3*z(i). -3*i**2 Let v(f) = 4*f - 5*f + 2*f. Let o(j) = 6*j - 25. Let c(w) = -5*w + 20. Let u(n) = 5*c(n) + 4*o(n). What is 2*u(p) + 6*v(p)? 4*p Let k(j) = 104 + 116 - 330 + 109. Let i be 2/9 + 28/36. Let x(r) = 2*r**2 + r - 1. Let c = -12 + 8. Give c*k(g) + i*x(g). 2*g**2 + g + 3 Let i(x) = -3*x + 3. Let v(w) = 4*w - 4. Let c(h) = -7*i(h) - 5*v(h). Let l(s) = 6*s - 6*s - 6 + 5*s + 1 + s. Determine 11*c(b) - 2*l(b). -b - 1 Let k(r) = r**2 + 1. Let s(u) = -89*u**3 - u**2 + 2*u - 2. What is 2*k(t) + s(t)? -89*t**3 + t**2 + 2*t Let m(w) = -31*w**2 + 9*w**2 + 24*w**2. Let k(q) = -q**2 + q + 1. Give k(g) + m(g). g**2 + g + 1 Let l(k) = -3*k**3 - 4*k**2 - 109. Let q(o) = -o**3 - o**2. Determine -l(p) + 4*q(p). -p**3 + 109 Let j(c) = -111*c - 2. Let z(d) = 2*d + 1. Give j(k) + 3*z(k). -105*k + 1 Let r(j) = -6*j**3 + 12*j**2 - 8*j - 8. Let b be (-27)/3 + 6 + 8/1. Let k(d) = 4*d**3 - 8*d**2 + 5*d + 5. What is b*r(p) + 8*k(p)? 2*p**3 - 4*p**2 Let j(h) = -6152*h + 0 + 6153*h - 4. Let d(t) = 3*t + 9. Let x(q) = q + 4. Let v(s) = -2*d(s) + 5*x(s). Calculate -3*j(c) - 5*v(c). 2*c + 2 Suppose q + 5 = -0. Let y(r) = 8*r**3 - 2*r**2 - 4*r - 6. Let d(k) = 5 - 3*k + 10*k - 8*k**3 - 2*k**3 + 2*k**2 - 4*k + 3*k**3. Calculate q*y(w) - 6*d(w). 2*w**3 - 2*w**2 + 2*w Let i(g) be the second derivative of g**3/2 + 3*g**2 - 16*g. Let o(d) be the second derivative of -d**2/2 - 3*d. What is i(h) + 5*o(h)? 3*h + 1 Let b = 339 - 284. Let l(u) = -242*u**3 - 55*u**2 - 55*u - 55. Let j(z) = -9*z**3 - 2*z**2 - 2*z - 2. What is b*j(t) - 2*l(t)? -11*t**3 Let b(z) = z**3 - z**2 + z. Let n(c) = -c**3 - 9*c**2 + 6*c - 3. Let l(a) = 2*a**3 + 25*a**2 - 17*a + 8. Let u(t) = 3*l(t) + 8*n(t). Calculate -8*b(o) - 3*u(o). -2*o**3 - o**2 + o Let b(g) = 133*g + 56. Let t(u) = 7*u + 3. Suppose 112 = 3*c + 4*a - 68, 68 = c + 4*a. What is c*t(z) - 3*b(z)? -7*z Let h(n) be the first derivative of 3*n**2 + 2. Let f(r) = 5*r + 2*r - 2*r - 8*r + 4*r. Determine f(i) - h(i). -5*i Let i(n) = -38 + 18 - n - 5*n**2 + 24. Let l(v) = -6*v**2 - v + 5. Calculate -5*i(s) + 4*l(s). s**2 + s Let g(w) = -2*w**2 - 2*w - 1. Let q(b) = 2*b**2 - 8*b - 6. Calculate g(s) - q(s). -4*s**2 + 6*s + 5 Let k(t) = -26*t + 10. Let j(y) = 5*y + 1. Calculate -6*j(o) + k(o). -56*o + 4 Let x(j) = 306*j**2 + 153*j + 153. Let m(y) = -y**2 - y - 1. Calculate 765*m(s) + 5*x(s). 765*s**2 Let c(m) = 13*m + 12. Let g(b) = 16*b + 11. What is -4*c(w) + 5*g(w)? 28*w + 7 Let q(u) = -28*u - 208. Let y(t) = -13*t - 104. What is 6*q(l) - 13*y(l)? l + 104 Let n(l) = 64*l**2 + 6*l + 5. Let g(q) = 64*q**2 + 7*q + 7. Determine 3*g(w) - 4*n(w). -64*w**2 - 3*w + 1 Let o(z) = -11*z**2 - 37*z - 70. Let g(w) = -2*w**2 - 9*w - 17. Give -9*g(i) + 2*o(i). -4*i**2 + 7*i + 13 Let d(g) be the second derivative of -g**3/6 - g**2/2 + g. Let c(o) = 6*o + 3. Let u = -32389 - -32391. Give u*d(j) + c(j). 4*j + 1 Let h(u) = -9*u**3 - 15*u**2 - u + 1. Let s(k) = k**3 - 2*k**2 + k - 1. Give -h(f) - s(f). 8*f**3 + 17*f**2 Let l(p) = -9*p + 2. Let u(c) = -20*c + 7. Let m(y) = -y + 2. Let f(o) = -m(o) + u(o). Determine 4*f(x) - 9*l(x). 5*x + 2 Let c(q) = -q**3 + q + 1. Let d(m) = 68*m**3 - m**2 + 4*m + 4. Give -4*c(k) + d(k). 72*k**3 - k**2 Suppose 4*f + 7*f = 22. Suppose 6*a + 52 = f*a. Let x(y) = y + 2*y + 8 - 2*y. Let c(i) = -2*i - 17. Calculate a*x(n) - 6*c(n). -n - 2 Let l(x) = x**3 - x - 1. Let t(w) = -6*w**3 - w**2 + 5. Give -2*l(c) - t(c). 4*c**3 + c**2 + 2*c - 3 Let f(z) = -4*z**2. Let d be 3 + -6 + (1 - -1). Let p = -10 + 12. Let a(w) = -10 - w**p + 10. What is d*f(y) + 3*a(y)? y**2 Let d(b) = -37*b + 3. Let f(l) = 10*l - 1. What is -6*d(j) - 22*f(j)? 2*j + 4 Let o(w) = 495*w + 95. Let k(g) = 124*g + 23. Determine -25*k(u) + 6*o(u). -130*u - 5 Let i(a) = 13*a**2 + 13*a + 9. Let y be (-23)/4 - (-73 + 67). Let x(m) be the second derivative of -m**2 - y*m**4 + m + 0 - 1/2*m**3. Determine 2*i(v) + 9*x(v). -v**2 - v Let x(u) = 242*u + 55. Let o(w) = 232*w + 21. Let h(j) = -43*j - 4. Let c(z) = 11*h(z) + 2*o(z). Determine 55*c(g) + 2*x(g). -11*g Let k(r) = 2*r**3 + r + 8. Let n(i) = 1. Suppose -90*q + 242 + 208 = 0. What is q*n(z) - k(z)? -2*z**3 - z - 3 Let z(t) = 1. Let s(b) = -4*
{ "pile_set_name": "DM Mathematics" }
Let z = 106 - s. What is the highest common factor of z and 30? 6 Let d(f) = f**2 - 6*f - 5. Let n be d(7). Let s = 22 - 20. Calculate the highest common divisor of s and n. 2 Let o = 4 + -4. Suppose o = n + 2. Let v be (-69)/(((-4)/n)/(-2)). What is the highest common factor of 23 and v? 23 Let f(p) = -p**2 + p - 1. Let j(r) = r**3 - r**2 - 2*r + 2. Let g(l) = -6*f(l) - j(l). Let b be g(4). What is the greatest common factor of 24 and b? 12 Let w = 1151 - 821. What is the highest common factor of 66 and w? 66 Let k = 14 + 18. Let d = -1772 - -1804. What is the greatest common factor of k and d? 32 Suppose 683 = 27*m - 721. Calculate the highest common factor of 65 and m. 13 Suppose 875*o - 854*o - 231 = 0. Calculate the highest common factor of 16 and o. 1 Let d(n) = 39*n - 368. Let q be d(10). Let p = 0 + 2. Calculate the highest common divisor of p and q. 2 Suppose -4 = 3*b - 10. Suppose -2*m - 38 = -4*l, b*m + m = -3. What is the greatest common factor of l and 72? 9 Let p(a) = a**3 + 15*a**2 + a + 15. Let g be p(-15). Let f be 60/24*(g + 22). What is the highest common factor of f and 11? 11 Suppose 0 = -76*w + 218 - 66. Calculate the greatest common divisor of w and 59. 1 Let t = -516 + 533. What is the highest common factor of 51 and t? 17 Let v = 183 + -8. What is the highest common factor of v and 35? 35 Suppose 0 = -5*i + 2*i - l + 38, -2*i + 4*l + 16 = 0. Suppose -i = 14*j - 15*j. Calculate the highest common divisor of j and 204. 12 Let t be (-1)/(33/9 - 4). Suppose 20 = 4*z - 3*p + p, -t*z - 5*p - 11 = 0. Calculate the highest common factor of 3 and z. 3 Let n(b) = -7*b - 45. Let p be n(-7). Suppose -542 = 6*w - 11*w + q, -p*q + 424 = 4*w. Calculate the greatest common divisor of w and 81. 27 Let k be 39/10 + (-1)/(-10). Let j be (1 + k/(-3))*-3*55. Suppose 0 = 6*c - c - 55. What is the greatest common divisor of j and c? 11 Let u(z) = 3*z - 4. Let n be u(3). Let k(f) = -f**2 + 8*f - 10. Let g be k(n). Suppose j - 24 = -g. What is the greatest common factor of 152 and j? 19 Let d(u) = 18*u**2 - u + 1. Suppose 5*k - 23 = -m, 26 = m + m + 5*k. Let t be d(m). Calculate the greatest common factor of 40 and t. 40 Let w(j) be the first derivative of 6*j**4 - j**3/3 - j**2/2 + 5. Let v be w(-1). Let a be (-16)/v - (-133)/3. What is the greatest common factor of a and 5? 5 Suppose -72 = 3*f - 12*f. Calculate the greatest common factor of f and 18. 2 Let r(c) = -c**2 - 6*c + 1. Suppose -46 = 5*i - 16. Let y be r(i). Suppose -54*o + 56*o - 18 = 0. Calculate the highest common divisor of y and o. 1 Let j(s) = s**2 - 3*s - 7. Let t be j(5). Suppose -5*g - 2*x + 38 = -20, t*g - 50 = -5*x. Let p be (g/3)/(2/27). What is the highest common divisor of 5 and p? 5 Let t be (-18436)/(-242) + 4/(-22). What is the highest common factor of 19 and t? 19 Suppose 3*s - 9 - 15 = -3*x, 5*s + 20 = 0. Let c = 21 - 18. Suppose -5*g = o - 2*o - 662, -c*o + 522 = 4*g. What is the highest common divisor of g and x? 12 Let o(u) = -7*u - 1. Let r be o(2). Let q = r - -27. Let i be 72/((9 + 1)/5). What is the greatest common factor of i and q? 12 Let x be (-2681)/(-35) + -6*3/30. Calculate the highest common divisor of 190 and x. 38 Suppose 0 = m + 2*n - 0*n - 26, -3*m = 3*n - 63. Suppose f = m + 29. Calculate the greatest common factor of f and 5. 5 Let x(y) = 12*y**3 - 1 + 13*y**3 + 2*y + y**2 - 18*y**3. Let t be x(3). Suppose 0 = -3*n + 283 + t. What is the highest common divisor of 18 and n? 18 Suppose -4*d + w = -310, -3*d + 0*d + 226 = -4*w. What is the highest common factor of d and 30? 6 Suppose -2*s + 15 = s. Suppose 4*i = -n + 30, -3*n - s*i = -42 - 13. Calculate the highest common factor of n and 70. 10 Let t = 52 + -28. Let i be (-80 - 0/((-4)/(-1))) + -2. Let l = -66 - i. What is the highest common divisor of l and t? 8 Suppose 5*x = x + 64. Suppose -2 + x = 2*q. What is the highest common factor of 35 and q? 7 Suppose -j + 8 = -7. Let s(d) = -d**3 - 8*d**2 - 9*d + 1. Let c be s(-7). Let g be ((-6)/c)/1*-150. Calculate the greatest common divisor of j and g. 15 Let l(u) = 3*u**2 + u - 2. Let d be l(1). Suppose 0*z - 3*z = -4*j + 77, d*j + 2*z - 42 = 0. What is the greatest common divisor of j and 10? 10 Let f be 6*(20/3 - 2). What is the greatest common factor of 4 and f? 4 Suppose z + 16*i - 390 = 13*i, -i = -3*z + 1150. Suppose 0*q + 48 = q. What is the greatest common divisor of z and q? 48 Suppose -2*q + 35 = 3*q. Suppose 8*z - q*z - 18 = 0. What is the greatest common divisor of 54 and z? 18 Let a be (-33 + 30)/((-9)/1716). Calculate the greatest common divisor of a and 44. 44 Suppose 11*c = -3*c + 8806. What is the highest common factor of 51 and c? 17 Let t be (-96)/(-1) - (8 + 0 - 5). What is the greatest common divisor of 124 and t? 31 Let p be (14/(-3) + 2)*-33. Let o(f) = 2*f**2 + 14*f + 22. Let a be o(0). Calculate the highest common divisor of p and a. 22 Suppose 2*h - 36 = -4*w, w + 0*h + 2 = 5*h. Suppose 24 = 9*u - 6*u. Calculate the greatest common divisor of u and w. 8 Let u(n) = -39*n - 36. Let c be u(-3). Let r = -9 + 36. What is the greatest common divisor of r and c? 27 Let i be (-5)/1*2/5. Let c(m) = 4 - 4*m**2 - 4*m**3 - m - 2 + 2*m**3. Let p be c(i). Calculate the highest common divisor of 36 and p. 4 Let l(j) = 6*j**2 - 32*j + 142. Let i be l(4). Calculate the highest common divisor of 10 and i. 10 Suppose 0 = -3*q - 4*u - 6, -4*q + 17 = -u - 2*u. Suppose -5 = -q*i - y - 6, 3*y + 15 = 0. Let b be i/7*-9*-42. What is the highest common factor of 12 and b? 12 Suppose -72 = -22*j + 19*j. Let x be 460/6 - -4*2/j. What is the highest common factor of 11 and x? 11 Let g = 36 - -356. Calculate the greatest common divisor of g and 98. 98 Let s be (6/(-8))/(71565/5112 + -14). Calculate the greatest common factor of s and 71. 71 Suppose -3*i + 52 = -5*s + 3*s, -50 = -5*i - 4*s. What is the highest common factor of i and 42? 14 Suppose 27 = 4*y - 5*u, -3*y = u - 3 - 3. Let p be (-2)/y + (-3)/((-54)/1794). Calculate the highest common divisor of p and 11. 11 Let w = 23 - 27. Let q = w + 7. Let y be -24*q*(-4)/36. Calculate the highest common divisor of 88 and y. 8 Let l be 3 + (-62)/(0 + 2). Let k = 34 + l. Suppose 4*y - 2 = 14. Calculate the highest common factor of y and k. 2 Let l = -15 - -35. Let a = l + -12. Let s = 21 + -13. What is the greatest common factor of a and s? 8 Suppose 8 = 4*u, -5*w - 3*u - 29 = -165. Suppose 2*k = w - 8. Calculate the highest common factor of k and 1. 1 Let q be (175/10 - 2)*-8. Let u = q - -133. Calculate the greatest common divisor of 3 and u. 3 Suppose 0 = -8*d + d. Suppose -5*g + 30 = -5*n, d = -4*g - 0*n - 5*n + 69. Let x = -24 + 57. What is the highest common divisor of x and g? 11 Suppose 2*v = -2*o + 112, -4*o + v - 40 + 284 = 0. What is the highest common divisor of 70 and o? 10 Let c(d) = -d**2 + 8*d + 2. Let s be c(6). Let n = -33 + 33. Suppose -y - 6*y + 784 = n. Calculate the highest common factor of s and y. 14 Suppose 2*p - p - 6 = 0. Suppose -b + 180 = p*z - z, 5*b + z = 828. Suppose 5*a - b = -0*a. What is the highest common factor of a and 22? 11 Let y be (-18)/15 + (-2104)/(-20). What is the highest common divisor of 416 and y? 104 Let x = 1693 - 1645. What is the greatest common divisor of x and 294? 6 Let a(i) = 39*i + 10. Let r be a(10). Calculate the greatest common factor of r and 50. 50 Suppose 4 = 5*j - 21. Suppose 3 + 1 = -4*i. Let r = j + i. Calculate the highest common divisor of r and 2. 2 Suppose 31*k - 461 = 407. What is the greatest common divisor of 294 and k? 14 Let o(y) = -y**3 + 10*y**2 + 29*y + 3. Let z be o(12). Let s be ((-63)/15)/(3/(-15)). What is the greatest common divisor of z and s? 21 Let s be 629/6 + -12*(-4)/288. Suppose -5*l + 135 = -0*l. Let b = l - 12. What is the highest common divisor of s and b? 15 Let t = 6 + -2. Suppose -t = -v + 3*v. Let f be (-2)/(1 + v) - -18. Calculate the greatest common factor of 180 and f. 20 Let a(x) = 925*x - 270. Let v be a(4). What is the highest common divisor of v and 10? 10 Let z = 223 - 11. Let x = -77 + z. Calculate the highest common divisor of x and 45. 45 Let k(w) be the third derivative of 0*w - 1/24*w**4 - 4*w**2 + 0 + 0*w**3 + 89/60*w**5. Let t be k(1). What is the greatest common factor of 11 and t? 11 S
{ "pile_set_name": "DM Mathematics" }
se 2*r - 2 + 4 = -3*i, i = -3*r - 3. Suppose 5*y = -0*y + 125. Suppose 5*l - 35 = y. Solve -d - 5*q = -26 + 4, 3*q - l = i for d. 2 Suppose -4*c = g + 61, c = -2*g + 5*g - 12. Let b be 45/c - (-8 - 1). Solve 3*a = 3*y + 3, -2*a + 2 = -2*y - b*a for y. -1 Let t(u) = u. Let q be t(2). Suppose 0 = j + 4*f + 2, q*j + 2 = j - f. Let c be 5/j*12/(-15). Solve c*g - g - 1 = 0, 3*g + 5 = -2*h for h. -4 Let a(h) = 2*h + 7. Let g be a(-4). Let v = 6 + g. Suppose v*x - 5*q - 10 = 0, q = -5*x - 9 + 31. Solve -10 = 3*k - 5*z, -k = 4*k + x*z - 8 for k. 0 Let p(s) = s**3 + s**2 - s + 1. Let h(z) = -2*z**3 - 13*z**2 + 20*z - 9. Let j(f) = h(f) + 3*p(f). Let d be j(8). Solve -d*v - 19 = u - 4, -25 = 5*v for u. -5 Let o be 3 - (-1 + 16/(-2)). Let j be (-16 + o)*(-2)/4. Solve -2*w - 20 = j*w - 2*z, 5*z = 3*w + 22 for w. -4 Suppose -z + 5 = 0, q - 24 - 31 = -4*z. Solve q = 5*i + 3*f, 4*i - 5*f + 10 - 1 = 0 for i. 4 Let f be -4*(-7)/(14/8). Let s be ((-24)/f)/((-3)/(-4)). Let o(k) = -3*k - 3. Let q be o(s). Solve x - 2 = -q*y + 15, -5*x - 15 = -5*y for x. 2 Let m(u) = 2*u - 18. Let l be m(10). Let o be 27/36 + 117/(-12). Let h be 0/(-4 - (o + 2)). Solve 4*v - l*d + 0*d + 2 = h, 4*v = -4*d + 28 for v. 2 Suppose 5*t - 9 = -z, -4*t + 1 = -3*t. Suppose -10 = -3*q + 4*x, z*x - 5*x - 7 = -3*q. Solve 0*n + 6 = -n - 5*i, 4*n = -q*i + 12 for n. 4 Suppose -1 = -h + 3. Suppose y = -y + 58. Solve 0*g = 4*g + 5*c - y, -h*g - 11 = -3*c for g. 1 Let r = -354 - -359. Solve -4*l - r*f - 30 = 0, 5*f + 5 = l - 0*f for l. -5 Let p(g) = -g**2 + 6*g - 2. Let j be 5/4*(5 - 1). Let n be p(j). Solve -3*l + 2*l + 3*m + 1 = 0, 4*l + n*m = 4 for l. 1 Let k be (0/10)/11 - 2*-2. Solve 3*r = 6*r, 3*q + k*r - 12 = 0 for q. 4 Suppose 19*d - 3 = 17*d - 3*n, -4*n = 4. Solve -d*h - 5*m - 15 = 0, 3*h - 5*m + 3*m = 6 for h. 0 Suppose 2*r - 125 = -3*r. Suppose -4*b + 3*b = o + r, -3*o + 2*b = 50. Let c = o + 25. Solve -2*z + 0*z - c*p - 20 = 0, -16 = 3*z + 4*p for z. 0 Let w(h) = -32*h - 442. Let y be w(-14). Solve -t = y*c - c + 7, -3*t = 3*c + 9 for c. -1 Let x(r) = -36*r + 548. Let q be x(15). Solve -2*g + 3*i = 4, q = g + 3*i + 1 for g. 1 Let j(n) = n**3 + 8*n**2 - 22*n - 20. Let b be j(-10). Solve -2*f - 10 = 0, -3*o + 2*o - 2*f - 9 = b for o. 1 Let i(b) = -2*b + 35. Let x be i(8). Suppose -15*j + x*j = 12. Let n be 3/4 + 15/12. Solve -n*f = -j*o + 5, -3*o + 3*f = -2*o - 4 for o. 1 Let q(v) = -v**3 + 9*v**2 + 6*v - 51. Let l be q(9). Solve -r - 3*t + 10 = 0, 6*t - t - 10 = -l*r for r. -5 Let p(t) = -2*t**2 + t**2 - 54*t + 37*t - 26. Let x be p(-15). Solve -f + x*h - 27 = -h, -2*h + 18 = -4*f for f. -2 Suppose 458 = 4*r - 294. Suppose -r*v = -182*v - 30. Solve c = -2*c - 2*y - 5, 0 = v*c - y + 17 for c. -3 Suppose -8 = -2*w - 2*w. Let f be (1 + -2)/(0 + -1). Solve -w*s + 5*v + 35 = 0, -f = -3*s + v + 19 for s. 5 Suppose 2*b + 0 = 10. Suppose -b*f + f = -60. Let i be 5/(f/6) - -2. Solve 0 = 4*d - n + 16, -i*d - d - 13 = -3*n for d. -5 Let a = 70 - 40. Suppose -a = -5*u - 3*b + 16, -2*b + 44 = 5*u. Solve 3*g - 2*v = u, 0 = 8*v - 4*v - 8 for g. 4 Let g(p) = 18*p + 597. Let n be g(-33). Suppose 2*r - 3*r - 2*f - 2 = 0, -2*f = 2. Solve -n*v - 5 = 2*t, v - 15 = -4*t - r for v. -5 Let p be 0*(-1 - 12/(-9)). Suppose 2*f - 4*f - 24 = p. Let v = f + 16. Solve -10 = 2*w, -4*l + l + v*w = -11 for l. -3 Let y = 2 + 8. Let m(p) = p - 7. Let i be m(y). Let h(l) = -27*l + 248. Let g be h(9). Solve -3*u = 3*c + 2*c - 3, -i*c = -g*u + 5 for u. 1 Let r = -99 + 99. Solve r = 2*p + 5*w + 12, -3 = -5*p + 4*w + 33 for p. 4 Suppose 0*t = -4*t + 12. Suppose 10 = 5*z - t*z. Suppose -19 = x + 5*g, -2*x - 5 - 3 = 4*g. Solve -5*q = -2*h - 3, -2*h + h = z*q - x for q. 1 Let f = 9 + -4. Suppose v - f*v = 0. Suppose -5*g - 20 = 0, -3*z + 5*g - 4 = -7*z. Solve -l - r = z, r + 1 = -v*r for l. -5 Let n be 2/6*(-9 + -3 + 18). Solve -2*p - u - n = 1, -2*u = 2 for p. -1 Suppose -v + 5 = -1. Suppose 3*l + 30 = -2*i, -v*i + 3*i - 45 = -l. Let k = -13 - i. Solve -k*f = 2*w + 3*f + 29, 15 = -3*f for w. -2 Suppose -3*y + 51 = -g - 4*g, 3*y = 2*g + 24. Let o = -6 - g. Solve -3*x = 5*p - o, 1 = -3*p - x + 2 for p. 0 Suppose 0*i - 4*i = -3*r - 14, -2*i = r - 12. Suppose 0 = p + 4, p + 4 = -0*j + 3*j. Suppose j*g = g - 24. Solve -r*f - f + 5*s = -g, -5*s = 15 for f. 3 Let u be (0 + 0)/(-2)*(-7)/21. Let c be 18/9 - (u + -2). Solve -z + 4*t + c = -6*z, 2*z = 3*t - 20 for z. -4 Let o = 14 - 14. Let h(s) = 3*s + 3. Let a be h(o). Solve 17 = -a*g + q, -5*q + 5 = 5*g - 0*q for g. -4 Suppose 4*g - 2 = -3*w - 3, 22 = -w + 3*g. Let h be -2 + (3 - 0) + (-5 - w). Solve -3*q + 27 = h*f, 5*q - 33 - 7 = -4*f for f. 5 Let n(g) = -g**3 - 4*g**2 - 3*g + 2. Let t be n(-3). Suppose -4*k = 2*y - 16, -4*k + 5*y - 11 + 27 = 0. Solve q = -0*m - m, k*q - t*m + 30 = 0 for q. -5 Suppose 4*o + 10 = 18. Suppose 0*g + 21 = -t + 3*g, -o*t - 77 = g. Let l be 80/32*t/(-5). Solve -2*y + l = 4*s - 7*s, -4*y - s + 8 = 0 for y. 3 Suppose -34 = -5*g - 2*u, 4*u = 4*g - 24 - 20. Solve 11*j = n + 9*j - g, n = -2*j - 12 for n. -2 Suppose 4*j + j + 25 = 0. Let i(m) = -m + 2. Let w be i(j). Suppose 4 = -0*k + 2*k + u, 0 = 5*k - u - 17. Solve -3*o + 9 = k*h, 10 = 3*h + 5*o - w for h. -1 Suppose -205*b + 214*b = 18. Solve -9 = 3*c + b*r, -3*r + 2 = 2*c + 8 for c. -3 Let p = 2 + -2. Suppose 2*j - 3*q = -q + 24, 5*j = 3*q + 62. Suppose -3*a + j = 1. Solve -5*v - 16 = w + w, p = 4*w - 4*v + a for w. -3 Let o(r) = r + 5. Let u(x) = 3*x + 10. Let n(f) = -5*o(f) + 2*u(f). Let l be n(9). Suppose l*q = q + 15. Solve 3*z - q*h + h = 17, -5*z = 3*h + 20 for z. -1 Let m be 0*((-6)/(-18) - 0). Solve m*p - 4*v = 3*p + 11, -4*p + 2*v = 22 for p. -5 Suppose 0 = -2*i + 4*o - 1 - 3, 0 = i + 5*o + 37. Let w be i/60 + (-42)/(-10). Solve -z = 5*a + 15 + 3, -21 = 3*z + w*a for z. -3 Suppose -11*q - 4 = -37. Suppose 76 = q*v + 4*t, -v + 14 = -t - 9. Solve -2*b = -4*m - v, -4*m + 1 - 21 = -b for b. 4 Let v(d) = d + 8. Let x be v(-3). Let z be (x*-1)/((-4)/(-36)*-3). Solve m + 4*c = z, 5*m + 2 - 20 = -c for m. 3 Let h be (-3 + 1)*(-5 + 0). Suppose -h = -w - w. Let x(m) = m - 10. Let d be x(12). Solve -5*t = d*a - 22, -13 = t - 3*t - w*a for t. 4 Suppose 5*n + 10 = 0, 17*d - 14*d - 35 = n. Solve 0 = j + 3*w + d, 11 = -3*j - 4*w + 6*w for j. -5 Suppose 0*y + 3*y + 4*f = -5, 0 = 3*y - f - 5. Solve -4*b + b - 4 = n, 5*b = 4*n - y for b. -1 Let c(s) = -s - 9. Let d be c(-6). Let g(b) = -b**3 - 3*b**2 - b + 1. Let r be g(d). Solve -5 + 17 = r*q, -v - 5*q = -15 for v. 0 Let m be (1 + -10)*(1 + -2). Solve 10 = -4*b - b + 2*x, -x - m = b for b. -4 Let u(n) = -32*n - 158. Let m be u(-5). Solve -m*p = -5*f + p - 3, -2*p - 17 = 3*f for f. -3 Let a(n) = -n**2 + 3*n + 23. Let u be a(0). Suppose -5*j - 6 + u = -b, 8 = -4*b. Solve 0 = -j*z - 3*h + 9, z + 3*z + 3*h = 14 for z. 5 Let j = -1693 - -1695. Solve -4*h + 2 = -j*t, 2*h = -h + 3*t - 3 for h. 2 Suppose -5*x - 4*k + 2*k = -15, 5*x = -5*k. Let f = 562 + -541. Solve -f = -5*r + p, x*r + p = 6*p + 5 for r. 5 Let f = 14 + -10. Suppose -2*a + 2*q = -a - 8, f*q + 12 = a. Solve -i = -3*y + 11, 0*i = -a*y - 3*i + 32 for y. 5 Let f = 2144 - 2140. Solve -3*r + 15*w - 15 = 16*w, -5*r = -f*w + 25 for r. -5 Let y be 2 - 4/(-4)*4/(-2). Solve -9 + 29 = 4*u - 3*v, u - 5*v - 22 = y for u. 2 Suppose -315 = -173*n + 110*n. Let s(l) = l**2 + 2*l - 2. Let b be s(-3). Solve -2*m = -3*m - b, -3*j + 11 = -n*m for j. 2 Let y = -29 - -65. Suppose -6 + y = 3*j. Solve 0 = -c - 3*p + j, 2*c + c - p - 10 = 0 for c. 4 Let g be 47/4 + (-483)/276. Solve 0 = -2*p + g, -3*p + 0*p + 27 = -3*r for r. -4 Let s(u) = u - 5. Let z be s(5). Solve z = 4*q + 4*a - 0*a + 4, -11 = -4*q - a for q. 4 Suppose 12*y = 4*y + 32. Suppose 0 = -y*t - 3*c + 27, 2*t + 5*c - 37 = -2*t. Solve 0 = r + 2*r + 5*k + 26, -t*r + k = 2 for r. -2 Let h = 557 - 541. Solve 5*l + z + 16 - 36 = 0, 4*l = -4*z + h for l. 4 Let r be 48/80 + 12/5. Solve 0*v = -2*l - 3*v + 8, 4*l = -r*v + 4 for l. -2 Suppose -p - 3*l = -5*p + 25, -2*l = -4*p + 22. Suppose 0*t = p*t. Suppose 4*y + u = 3*u + 4, t = -y + u. Solve n - 1 = 0, -s + y*s - 5*n = -10 for s. -5 Let p be 8*-8*10/(-160). Solve 5*c = o + 8, p*c - 3*o - 14 = -6*o for c. 2 Let w(z) = -z**2 + 13*z + 3. Let y be (3 + 15/(-6))*26. Let u be w(y). Suppose 2*a - u*a = -4. Solve a*h - 35 = 3*v, 7*h
{ "pile_set_name": "DM Mathematics" }
03/128 (c) 5 c What is the sixth smallest value in -95, -5, -4, -0.5, 5642, -3/2? 5642 What is the second biggest value in 9, -199, -675/14? -675/14 What is the third smallest value in 4, -5/2, -716, -0.4, -1, 1? -1 Which is the third smallest value? (a) -1626.143 (b) 1 (c) -2/7 b Which is the fifth smallest value? (a) 4 (b) -1 (c) 47 (d) 0.03 (e) -5/3 (f) -3 (g) -0.05 d What is the fifth biggest value in 2, 7/5, -304, 0.3, -1, -2/5? -1 What is the biggest value in 1/5, -119, -8, 0.1, -9, -1/5, 0? 1/5 What is the third smallest value in -22/7, 17098, -1/4? 17098 What is the fifth biggest value in -1/3, 2, 159074, -4, 7/6? -4 Which is the second smallest value? (a) -0.1 (b) 0.6 (c) -67709 (d) 35 (e) 0.2 a What is the third biggest value in 3/7, 1/2, 474/47, -58, 0.4? 3/7 Which is the fifth smallest value? (a) -129 (b) 17 (c) -0.4 (d) -3 (e) -0.3 (f) 36 (g) 8 g Which is the second biggest value? (a) 0.09 (b) 113.87 (c) 79 c What is the fourth smallest value in -4.934, -0.1, 3/2, -2, -3? -0.1 Which is the third biggest value? (a) -8620049 (b) 0.081 (c) 3 a What is the biggest value in -1/209, -1/7, -1/5, -3, -2? -1/209 Which is the second biggest value? (a) 15 (b) -2/5969 (c) 0.3 (d) 0 (e) 5/32 c Which is the fifth smallest value? (a) 9 (b) -1/5 (c) 0.2 (d) -16 (e) 0 (f) -17 c Which is the fourth smallest value? (a) -8964 (b) 2/55 (c) 0.058 (d) -1 c Which is the second smallest value? (a) 2/5 (b) -4/369 (c) 428614 a What is the fifth smallest value in -2, 3/7, 31, 8, -4, -7, 273? 8 What is the third smallest value in -0.1, 0.2, 0.063, -1/392? 0.063 What is the second biggest value in 0.4, -0.5, 33, -1/3, 1, -14, -25? 1 Which is the smallest value? (a) -509 (b) 0 (c) 526 (d) 1/6 a Which is the second biggest value? (a) -2 (b) -0.09 (c) -0.2 (d) -2/3 (e) -0.21 (f) -107474 c What is the second biggest value in -0.04, -237, 860, -2/3? -0.04 Which is the third biggest value? (a) 2 (b) -5 (c) 59511749 b What is the sixth biggest value in -2, 4/15, 509, -3, -2/3, 53? -3 Which is the smallest value? (a) -2/11 (b) 5/107241 (c) 2/45 a Which is the third biggest value? (a) 0.2 (b) 4 (c) -5/4 (d) -107.05 (e) 5 (f) 1 f What is the second smallest value in -5, -0.2, 1, 1/245, 10291, -0.1? -0.2 Which is the fourth biggest value? (a) -2/21 (b) 15 (c) 7 (d) 55 (e) 1/2 (f) -40 e What is the smallest value in 25, -1/8, -41.2, -4.2, 14? -41.2 What is the second smallest value in 5, 26, -4.8451, 1/17? 1/17 What is the third biggest value in 2/3, 2/1017, 2, -1733? 2/1017 What is the third biggest value in -0.02, 132/7, -2/145, 0, 3/4? 0 What is the smallest value in -43821, 35, 0.15? -43821 Which is the fourth biggest value? (a) 13 (b) -3/142 (c) -313 (d) 0.3 c What is the sixth smallest value in 0.133, 0, -0.4, -5, -47, -4/5, 9? 0.133 What is the sixth smallest value in 3, -0.1, -23.4, 10, 106, 2, 0.4? 10 What is the seventh biggest value in 1/10, -4/3, -2, -0.4, -144.8, 0, -1? -144.8 Which is the seventh biggest value? (a) 5/4 (b) 1/4 (c) 0.3 (d) 0 (e) -5 (f) -4 (g) 22274.1 e What is the second biggest value in 0.04, 0.2, 4, 2308? 4 Which is the fourth biggest value? (a) -5 (b) 3/10 (c) 0.12 (d) -7/17 (e) 3 d Which is the sixth biggest value? (a) -3/8 (b) -4 (c) -0.1 (d) 1 (e) 2 (f) 0.2624 (g) 0.17 a What is the biggest value in 1693, -2/3, -0.3, 51/11, -1? 1693 What is the third smallest value in -7.6798, 26, -2/19? 26 What is the second smallest value in 3, 1/2, -5, -0.4, -239, 2/9? -5 What is the biggest value in -832, 1/5, -36, -1246? 1/5 Which is the sixth smallest value? (a) 1/15174 (b) -4/7 (c) 0.5 (d) -0.5 (e) 0.2 (f) 4 f What is the fourth biggest value in -2, 4/5, -0.4, -2/1819, 1/23, -53? -0.4 Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 2 (d) -2 (e) 0.11 (f) 624 (g) 0 g Which is the smallest value? (a) -4 (b) -0.09 (c) 3325 a Which is the second smallest value? (a) -2/13 (b) 1/4 (c) -23 (d) -2/143 (e) 2/3 (f) -0.4 f What is the third smallest value in -11, 0.3, 3.83, -1, 5.9, -0.4, 5? -0.4 Which is the third smallest value? (a) 183 (b) 3 (c) 4943 (d) 0.05 a What is the third smallest value in 2/3, 5950.7, 3? 5950.7 What is the fourth biggest value in -231, -76, 0, -68, -6, 2/7? -68 Which is the biggest value? (a) -193/7 (b) 3/7 (c) -7/26 (d) -0.1 b What is the second biggest value in 0.3, 0, -10, -1425, -180, -0.1? 0 What is the second biggest value in 2, 1/5, -3607863? 1/5 What is the smallest value in -2/7, 0.1, -1.16, 2/15, -0.5, -0.2, 4? -1.16 What is the third smallest value in -5, -0.21, 4/225, -3/7, 16/3? -0.21 Which is the biggest value? (a) 2 (b) -2/7 (c) -131786 (d) -67/4 a What is the fourth biggest value in 0.9, -24/271, 51, 3? -24/271 What is the third biggest value in -26.33, 33/8, -3, 0.01? -3 Which is the second biggest value? (a) 0.23 (b) -22/5 (c) -4 (d) 4 (e) -3/4 (f) -3 (g) -28 a Which is the smallest value? (a) 777/41 (b) 2/3 (c) -6 (d) -781 d What is the fifth smallest value in -0.3, -36, 563, -2/7, 4/3, 5, 328? 5 Which is the second smallest value? (a) -4 (b) -2/11 (c) 17/6 (d) -0.1 (e) -5 (f) -2125 e Which is the smallest value? (a) -3 (b) 102 (c) -0.1 (d) 111/110 (e) -3/8 a What is the third smallest value in 6/7, 3, 1/97, 1, 0.2, -0.21? 0.2 Which is the fourth smallest value? (a) 1 (b) -18202 (c) -15/8 (d) 5 d What is the biggest value in -3, 10.88, -1.8, -2/17, 7? 10.88 What is the third biggest value in 0.3, 425/4, -1.1, -2/3, -1/2? -1/2 What is the third biggest value in -7.1, -1/7, 2/13, 2/9, -57, -3? -1/7 Which is the third biggest value? (a) -14 (b) 8 (c) -3/2 (d) 2 (e) 0.2 (f) -85 e What is the second smallest value in -0.7, -24691, -35? -35 Which is the second biggest value? (a) -4 (b) 20718/5 (c) -2/57 (d) -1.52 (e) 5 e What is the second biggest value in -2/13, 0.5, -5, 4, -177.4, 137, -0.5? 4 Which is the second biggest value? (a) -7.4 (b) 1/4 (c) -136/59 c Which is the fifth biggest value? (a) 17 (b) 1 (c) -5/101 (d) 5/48 (e) -2/7 (f) -0.4 (g) 0 c Which is the third biggest value? (a) -2/1191 (b) 4 (c) 25 (d) -0.8 (e) -0.2 a Which is the second biggest value? (a) 2/3 (b) -1779 (c) -1 (d) -2/15 (e) -1/59 (f) -1/2 e Which is the smallest value? (a) 0.4 (b) -1/28 (c) 108/625 b What is the third biggest value in -18, -1, -3, -2970, 3, 4, -4? -1 Which is the fourth smallest value? (a) 1/6 (b) -6/5 (c) 2 (d) 3 (e) 5 (f) 304005 (g) -7 c What is the third biggest value in 1/13, 0, -7, 2346, -0.5? 0 What is the third smallest value in 4/7, -0.119, -73, 0.02? 0.02 Which is the second biggest value? (a) -2/4183 (b) 0 (c) 16 (d) 1/15 (e) 3/2 (f) 3 (g) -3 f What is the third smallest value in -2, -368782/25, 1? 1 What is the fourth biggest value in -5, 86/15, 15, 2, -1? -1 Which is the smallest value? (a) 4/77 (b) 205425 (c) 0.2 a What is the second smallest value in 3/2, -0.0242783, -2, 1? -0.0242783 Which is the third smallest value? (a) -35053323 (b) 1/3 (c) 2/9 (d) -0.2 c What is the smallest value in 241594, -11, -0.3? -11 Which is the fourth biggest value? (a) 0.05 (b) -2/5 (c) -1/6 (d) -1/3 (e) -0.2529 (f) 29 e Which is the second biggest value? (a) -0.04703 (b) -112379 (c) -2 c What is the third smallest value in -48.626, 3, 0.1, -1.1, -4, 0.2? -1.1 Which is the biggest value? (a) -2.9 (b) -81 (c) -1 (d) 0.2 (e) -2/7 (f) -0.5 (g) 13 g What is the second biggest value in 829, 2, 4, -262? 4 Which is the second smallest value? (a) -2/9 (b) -73 (c) -1/2 (d) -1/5 c What is the second biggest value in -1/2, 0.5, 82, -1/11, 2, 2/3? 2 Which is the third smallest value? (a) 14271 (b) 459 (c) -4/5 a What is the smallest value in -5, 57.42, 0.3, 2, -21/4? -21/4 What is the third biggest value in 0.1, 586, -117, 2, 85, 1.8? 2 What is the biggest value in 0, 10, 12483628? 12483628 Which is the second biggest value? (a) -4 (b) -13166/9 (c) 13 a What is the third smallest value in 0.1, 1, -1, -2/3, -2, -0.0248, 3/1864? -2/3 Which is the fifth biggest value? (a) 16/65 (b) 108 (c) -12 (d) 0.1 (e) 14 c Which is the fourth smallest value? (a) -2 (b) -12 (c) -2/3 (d) 2/127 (e) 0.03
{ "pile_set_name": "DM Mathematics" }
? b Let m = -4 - -4.1. Let f = -0.3 + m. Are -1 and f nonequal? True Suppose -4*t - t = -5. Let g be 2/(t - 7/3). Suppose 0 = -5*d - 3 - 2. Which is bigger: g or d? d Let x = 0.2 + 7.3. Let o = x - -1.5. Is o != 0.2? True Let u be (-3)/(-10 - 2)*4. Which is bigger: 0 or u? u Let c = -59/2 + 645/22. Which is bigger: 1 or c? 1 Let g be -1 + 4 - 0 - (-7)/(-2). Is -30 > g? False Let k(o) = o**2 - 5*o + 2. Let d(q) = -q**3 - 9*q**2 + 4. Let r = -22 - -13. Let c be d(r). Let j be k(c). Which is bigger: j or -3? j Suppose 13*z = 22*z + 45. Is 10 greater than or equal to z? True Let q be 12/9*4/2. Which is greater: q or 3? 3 Let g = 2 - -1. Suppose 3*x - 18 = -g. Let c be 2/(((-5)/2)/x). Is c less than or equal to -5? False Suppose 2*x + 4 = -2. Let o = -10 + 7. Does o = x? True Suppose 0*y = y - 12. Suppose 0 = v - 4*k - 9, -5*v - k + 2*k - y = 0. Is v greater than or equal to -5/2? False Let h = -19 - -7. Are -12 and h non-equal? False Let v(c) = -c - 1. Let r be v(-1). Let d = 1247/7 + -178. Is d <= r? False Suppose 3*s + 4 = 3*g - 7*g, g = 5*s - 1. Suppose -4*a - 32 = -12. Let q = a - -5. Is q smaller than s? False Let o(j) = -j**3 + j + 2. Let s be o(0). Suppose 0 = -4*m, 3*m + 0 = -s*y + 14. Is 6 bigger than y? False Let s = 56.06 + -40. Let g = s - 16. Which is bigger: -0.1 or g? g Let w(g) = -g**2 + 5*g. Let m be w(5). Let n(a) = -6*a + 3*a**3 + 6*a**2 + 2 - 4*a**3 + 3. Let q be n(5). Is m bigger than q? False Let j be (-20)/(-110) + (-282)/(-22). Is 13 greater than j? False Let l be (-24267)/(-5) - (-3)/5. Let m be l/35 - (-9)/15. Let q = -139 + m. Is q at most 2? True Let b = 24 + -42. Let r be (-12)/b + 7/12. Are 0 and r equal? False Let u(t) = t + 8. Let b be u(-6). Which is greater: b or -1/3? b Let l be 0/(1*(-1 - 0)). Let u = l + 1. Are u and 6/5 non-equal? True Let f = -2.88 - -3. Let s = f + 0.08. Which is bigger: s or -1? s Let l be 0*(1 + ((-7)/2 - -3)). Do l and -2/135 have the same value? False Suppose 0 = 4*q - 2*q. Suppose 4*t + 48 = 2*a, 5*t + 3*a + 107 - 25 = 0. Let j be (12/t)/(q + 2). Which is bigger: j or 0? 0 Let h = 1.1 - 9.1. Let c = 7.96 + h. Which is smaller: 0 or c? c Let d = 0.5 + -2.5. Let y = -0.03 + 4.03. Let s = d + y. Is s less than or equal to -1? False Suppose -7*x = -3*x. Suppose 5*f - 19 - 6 = x. Suppose 0*j = -f*j. Which is greater: j or 1/4? 1/4 Let o(a) = a - 3. Let i be o(3). Suppose -3 = x - i*x. Let p(n) = n - 14. Let t be p(11). Do x and t have the same value? True Let f = -21 - -20.9. Is 11 smaller than f? False Suppose -3*c - 14 = 22. Let y be (-40)/(-18) + c/54. Which is bigger: y or 1/2? y Let j = 82 - 82.1. Is 30 greater than j? True Let h = 3 - 2. Let n = -21/5 + 283/65. Is n at least as big as h? False Suppose -18 + 3 = -5*v. Suppose v*b = -12 + 3. Is b bigger than -4? True Suppose -5*i = -0*i - 10. Let h be (1/i)/(2/(-52)). Which is greater: h or 0? 0 Let k = -5.45 + 5.5. Are k and 0.5 unequal? True Let q(h) = h**3 + 2*h**2. Let s be q(-2). Suppose 0 = -2*w, -2*w = 3*y - s*w. Let z be (-1)/(-2) + 6/(-28). Are y and z nonequal? True Let v = -7/55 + 317/330. Suppose 0 = z - 0*z. Which is bigger: v or z? v Suppose 0 = 5*t - 30. Let j = t + -9. Which is smaller: -4 or j? -4 Let b be (-3)/5 + 280/175. Do b and -1 have the same value? False Suppose 2*n - 8 = -2. Suppose n*c + 12 = -c. Which is greater: -2 or c? -2 Let d(h) = -h**2 - h - 1. Let q be d(0). Do -5/11 and q have the same value? False Let f be 2*((-18)/4 - -1). Let y = -5 - f. Suppose -3*n = y*n - 15. Which is bigger: n or -2? n Suppose -6*s = -5*s + 180. Let n = 3/2486 + 2247329/12430. Let w = s + n. Is w greater than or equal to 0? True Let o = 43 - 39. Let k = 6 + -3. Suppose -o*b = -t + 1, -2*b - 3*b - 3 = -k*t. Is b at least as big as 3/4? False Let y be 6/(-90)*(-1 + 2) - 0. Is y >= 0.2? False Let q = 575 - 22427/39. Let c = 142/273 - q. Which is bigger: 2 or c? 2 Let u(n) = n**2 - n - 5. Let y be u(-4). Let h be y/(-10)*4/6. Is h greater than or equal to -4/5? False Suppose -2*o + 1 + 1 = 0. Suppose 0 = -f + 2*r - o - 3, -2*f + r - 2 = 0. Suppose 2*z - 10 = 5*q, -2*z + 1 = -9. Is q greater than or equal to f? True Suppose 90 = 4*h - 5*p, h - 8*p - 28 = -4*p. Let j be -1*(h/(-8))/(-5). Which is bigger: j or 5? 5 Let n be 322/(-207)*3*(0 + -1). Is n at most 6? True Suppose 0 = -22*t + 15*t - 343. Do t and -47 have the same value? False Suppose -20 = -4*x - 2*n, -n = -2 - 2. Is x at least as big as -13? True Suppose -5*a = -3*z - 69, 1 = -5*z - 14. Let o be 11/3 + (-8)/a. Suppose -4 = o*x + 2. Does x = -1? False Let y = 11 - 38. Let v be (12/(-14))/((-165)/y). Let q = v + -8/55. Which is bigger: q or -1? q Suppose 5*q = 15, -4*t = -q + 55 + 264. Is -78 at most t? False Let o = -11 - -18. Let g = o - 7. Let v = g + -0.4. Is 0 < v? False Suppose 0 = 9*n - 7*n. Are n and 12 equal? False Let h be -2*5*(-1)/2. Suppose -h = -2*c + 3*c. Let a = -4 - c. Which is greater: a or -2/7? a Let k = -45 - -46. Is k at least as big as 15? False Let a(q) = q + 1. Let g be a(-1). Suppose z = -g*z + 1. Is z greater than 3? False Let w be 2*10*(-2)/(-4). Suppose 3*h + w = 2*h - 2*p, -4*h + p = -5. Is h != 1/2? True Let o be 2*(1 + 17/(-10)). Does 0 = o? False Suppose -2*k - 9 - 3 = 0. Let l be (-3)/3 + k/2. Is -4 >= l? True Suppose -15 = -5*t - 2*q, 4*t - 2*q = 5*t - 11. Let x = 1.57 + 0.13. Let b = -0.3 - x. Which is greater: b or t? t Let v be (4/10)/((-16)/24)*5. Is v at least as big as 5? False Let u be (-51955)/119 + (-2)/7. Let m = u + 437. Which is smaller: 0 or m? 0 Let x be (-2)/(-6) + (-26)/6. Let p(h) = h**2 - 8*h + 5*h**3 - 6*h**3 + 6*h**2 + 8. Let u be p(6). Are u and x equal? True Let x be (-2)/(-2)*2*1. Suppose 4 = -x*z - 2*z. Is -2 equal to z? False Suppose 0 = 3*c - 0*c - 9. Suppose c*v - 4 = v. Which is bigger: v or 3/2? v Let o(d) = 2*d - 3*d**2 + d + 1 + 4*d**2 + 0. Let y be o(-1). Is y less than or equal to 3? True Suppose 0 = 4*l - l + 66. Let m = -8 - l. Suppose 0 = -4*x - 3*w - 9, -3*x = -8*x - w - m. Is x at least as big as -4? True Let j be (-21)/28 - (-15)/(-12). Suppose -3*t = 6, 2*i + 3*t = 5*i - 3. Which is bigger: i or j? i Suppose 0 = 4*a - 0*a + s - 3, 0 = 4*a + 4*s + 12. Suppose 0 = j - 3*l - 12, 0 = j + l - a*l - 2. Do 0.3 and j have the same value? False Suppose 3*u = -29 + 83. Which is smaller: 20 or u? u Let h(y) = y**2 + 2*y + 1. Let u be h(-4). Let n be ((-1)/(-2))/(u/6). Is -0.3 smaller than n? True Suppose -2*p + 4*p = -60. Let w be (1 - -1)/(8/p). Let k = 73/10 + w. Is 1 bigger than k? True Let o be (-3 + 6)*(0 + 1). Suppose -o*w - g = -7*w + 4, g - 10 = -3*w. Suppose -w*k = -7*k. Is k at most as big as -1? False Let o = 0.07 + 0.96. Let s = 7 - 6.97. Let b = o - s. Which is greater: 5 or b? 5 Let c(a) = -a**2 + 1. Let x be c(1). Suppose 2*l - 11 = -1. Suppose 4*s + l - 1 = x. Is s at least as big as -1? True Let z = 4 - 0. Suppose z + 0 = -m. Which is smaller: -5 or m? -5 Let a(c) = 17*c**2 + 3*c - 3. Let b be a(-3). Do b and 142 have the same value? False Let b be ((-2)/(-8))/((-21)/(-12)). Is b != 1? True Let z(j) = 2*j - 6. Let k be (-5)/(-4)*(1 - -3). Let i be z(k). Let m be i/(-18)*9/(-12). Which is smaller: m or 0? 0 Suppose -6*c + 0*c = 18. Is -3 greater than or equal to c? True Let l(k) = -2*k - 5. Let o(u) = -5*u - 11. Let n(d) = 9*l(d) - 4*o(d). Let c be n(2). Let h = 0.22 - 0.12. Is h less than c? True Let m = 20 + -20. Which is greater: m or -1/4? m Let u be 44/84 - 3/(-21). Which is bigger: u or 0? u Let i = 19042/35 + -544. Is 1 != i? True Let t be 9/(-2)*8/6. Suppose 3*l = 3 - 0. Let v be (4 - l)/((-63)/t). Which is smaller: v or 1? v Let u = 3 + 11. Which is smaller: 0.1 or u? 0.1 Suppose -v - 3*d = -0*d - 6, -2*d - 21 = -v. Suppose z + z = 5*r - 10, 2*r + v = -3*z. Which is smaller: -4 or z? z Let i = 43 + -24. Is 19 at most as big as i? True Let i = -7 + 6. Let t be ((-1 - i) + 4)/14. Let w = 0.2 - 0.2. Which is smaller: w or t? w Suppose 4*d = 172 - 4. Let w be (1/(-15))/(3/d). Let t = -3/5 - w. Which is smaller: t or 1? t Let t = -68146438/2789 + 24434. Let v = -103853/153395 - t. Let a = v - -3/11. Is 1 < a? False Let v = -305 - -314.87. Let h = v - -0.23. Let c = 10 - h. Is 6/7 smaller than c? False Let j(l) = l**2 + 4*l + 3. Let w be j(-3). Suppose w = -5*q + 2 + 18. Let v(x) = -x - 2
{ "pile_set_name": "DM Mathematics" }
3105*o**2 + 3105*o**2 - 4*o - 26*o**3. -26*o**3 - 4*o Collect the terms in 4*y**2 - 18*y**3 + y**3 - 29 + 29 - 3*y**2. -17*y**3 + y**2 Collect the terms in -3609*g - 1 + 1 + 0. -3609*g Collect the terms in -273*a**2 + 23*a**3 + 88*a**2 + 98*a**2 + 87*a**2. 23*a**3 Collect the terms in 5 - 1864*h + 3635*h - 5 - 1757*h. 14*h Collect the terms in -47*i + 1 + 52*i - 3 + 12*i + 40*i. 57*i - 2 Collect the terms in -86*d + 2180*d**2 + 156*d - 70*d. 2180*d**2 Collect the terms in 12*y**3 + 8*y**3 + 12*y**3 + 17*y**3 + 4*y**3 - 54*y**3. -y**3 Collect the terms in 14*v**2 - 14*v**2 + 148*v**3 + 80*v**3. 228*v**3 Collect the terms in -187691*g**2 - 187184*g**2 + 374878*g**2. 3*g**2 Collect the terms in 7*n**3 - 51*n**2 - 46*n**2 - 52*n**2 + 139*n**2. 7*n**3 - 10*n**2 Collect the terms in -6163*o + 2845*o + 3312*o. -6*o Collect the terms in -l - 19*l**2 - 11*l**2 - 14*l**2 + 79*l**2 - 30*l**2. 5*l**2 - l Collect the terms in -34*j - 17*j + 51*j + 1304*j**3. 1304*j**3 Collect the terms in 0*i**3 + 1646957*i - 1646957*i + i**3. i**3 Collect the terms in -64*w**3 - 88*w**3 + 182*w**3 - 49*w**3. -19*w**3 Collect the terms in -2*r**2 - 58*r**3 + 622*r**3 + 600*r**3. 1164*r**3 - 2*r**2 Collect the terms in 50 - 191 + 2*x + 46 + 95. 2*x Collect the terms in -51 + 51 - 5929*c + 5936*c. 7*c Collect the terms in 61*w**3 + 62249*w - 62249*w. 61*w**3 Collect the terms in 386*p**2 + 106*p**2 + 1114*p**2. 1606*p**2 Collect the terms in 9 - 10*z**3 - 8*z**3 + 18 + 17*z**3 + 11. -z**3 + 38 Collect the terms in -z - 2*z + 456 + 64 - 56 + 320. -3*z + 784 Collect the terms in -145*y + 17*y**3 + 258*y - 109*y. 17*y**3 + 4*y Collect the terms in -6338397*b**2 + 6338397*b**2 + 27*b**3. 27*b**3 Collect the terms in -2*l - 136912 + 136912. -2*l Collect the terms in 4974*v + 7533 + 4975*v - 9947*v - 7533. 2*v Collect the terms in 102*k**3 - 190*k**3 + 130*k**3. 42*k**3 Collect the terms in -151*y + 675*y + 351*y. 875*y Collect the terms in -54*d**2 - 34*d**3 - 23*d**2 + 77*d**2. -34*d**3 Collect the terms in 25 + 161*r + 160*r - 26 - 319*r + 71. 2*r + 70 Collect the terms in -8*h**2 + 6335 + 6323 - 12658. -8*h**2 Collect the terms in 852*g - 1003*g - 1821*g. -1972*g Collect the terms in -178 - 175 + 203*w**3 + 353. 203*w**3 Collect the terms in 38*s**3 + 1347*s**3 - 1381*s**3. 4*s**3 Collect the terms in -13 - x + 25 + 14*x - 7 - 4. 13*x + 1 Collect the terms in -15*h + 2351 + 20*h - 627. 5*h + 1724 Collect the terms in 1269*m - 2532*m - 11*m**2 + 1263*m - 18*m**2. -29*m**2 Collect the terms in 174*l - 219*l - 717*l - 21*l. -783*l Collect the terms in -21*h + 46*h + 23*h**3 - 7*h + 75*h. 23*h**3 + 93*h Collect the terms in -30*s**2 - 14726 - s**2 + 14726. -31*s**2 Collect the terms in 46847*m**3 - m**2 + m**2 - 46845*m**3 - 8*m**2 + 8*m**2. 2*m**3 Collect the terms in 18 - 4 - 12 - 1200*b**2. -1200*b**2 + 2 Collect the terms in -23*l + 109*l + 5*l**3 - 86*l. 5*l**3 Collect the terms in -172*s**2 - 172*s**2 - 167*s**2 + 4*s + 510*s**2 - s. -s**2 + 3*s Collect the terms in 45*f - 66*f**2 + 19*f**2 - 43*f - 2*f. -47*f**2 Collect the terms in -982*d**3 + 1113*d**3 + 1494*d**3. 1625*d**3 Collect the terms in 216*j - 253*j + 35*j + 6*j**2. 6*j**2 - 2*j Collect the terms in 19*o**2 + 28*o**2 + 8*o**2 - 83*o**2 - 2*o. -28*o**2 - 2*o Collect the terms in 13*s**3 - 4*s**3 - 1659 - 6*s**3 + 1659. 3*s**3 Collect the terms in 23*f**2 - 23*f**2 - 89*f**3 + 66*f**3 + 31*f**3. 8*f**3 Collect the terms in -84027*t**3 - 84040*t**3 + 168066*t**3. -t**3 Collect the terms in -12844*r**2 + 6504*r**2 + 6341*r**2. r**2 Collect the terms in -8186*l + 24452*l - 8161*l - 8158*l. -53*l Collect the terms in -822*q**3 - 823*q**3 + 3281*q**3 - 821*q**3 - 819*q**3. -4*q**3 Collect the terms in -2318*n - 2330*n + 4648*n - 103*n**3. -103*n**3 Collect the terms in 19*q**3 + 7623*q**2 - 7625*q**2 + 7*q**3. 26*q**3 - 2*q**2 Collect the terms in -131*v**3 - 139*v**3 + 509*v**3 - 130*v**3 - 106*v**3. 3*v**3 Collect the terms in -5*n - 4*n - 7*n + 20*n - 2*n. 2*n Collect the terms in 12*c**3 - 13*c**3 + 59413*c**2 - 29714*c**2 - 29718*c**2. -c**3 - 19*c**2 Collect the terms in -909 + 909 - 1204*x + 13453*x. 12249*x Collect the terms in 2*y**3 + 27 - 44 + 17 + 11*y**3. 13*y**3 Collect the terms in 216*i**3 - 209*i**3 + 58*i**2 - 32*i**2 - 10*i**3 - 26*i**2. -3*i**3 Collect the terms in -17*g**2 + 0*g**2 - 37*g**2 + 4*g**2. -50*g**2 Collect the terms in 324650*w**2 + 520404*w**2 + 495973*w**2. 1341027*w**2 Collect the terms in 109973849*c + 3*c**2 - 10*c**2 - 109973849*c. -7*c**2 Collect the terms in -462 + 274 - 8*d**2 + 3*d**2. -5*d**2 - 188 Collect the terms in 205*f + 8 - 8 + 722*f - 178*f. 749*f Collect the terms in 2628 - 1318 - 1310 - 11403*j. -11403*j Collect the terms in -152*r**3 - 223*r**3 - r**2 + 26*r**3 - 8*r**2. -349*r**3 - 9*r**2 Collect the terms in 47 + 43 + 16*z - 90. 16*z Collect the terms in 5*i**2 - 74*i**2 + 26*i**2 + 26*i**2 + 20*i**2. 3*i**2 Collect the terms in -8 + 12*s - 1 + 4 - 1 - 3*s. 9*s - 6 Collect the terms in -1576*l**3 + 802*l**3 + 787*l**3. 13*l**3 Collect the terms in 195*b + 190*b + 195*b - 582*b. -2*b Collect the terms in 260409*n - 520826*n + 260418*n. n Collect the terms in -23065*r**2 + 11533*r**2 - 53*r**3 + 11532*r**2. -53*r**3 Collect the terms in -3 + 0 + 0 - 5*t + 8*t + t. 4*t - 3 Collect the terms in 271393 - 271393 - 3*l - l**2. -l**2 - 3*l Collect the terms in k**2 + 23212319044 - 23212319044. k**2 Collect the terms in -2152*s**2 + 4300*s**2 + 13 - 13 - 2155*s**2. -7*s**2 Collect the terms in -1438*f**3 + 16 + 16 - 32. -1438*f**3 Collect the terms in -373673005 - 40*a**2 + 373673005. -40*a**2 Collect the terms in 10 - 20 + 6778*b + 10. 6778*b Collect the terms in -p**3 - 49*p**2 + 59*p**2 - 10*p**2. -p**3 Collect the terms in 184*u + 185*u + 3*u**3 - 15*u**3 - 369*u. -12*u**3 Collect the terms in 2 - 3 - 6729*a**2 + 6728*a**2 + 1. -a**2 Collect the terms in -4 + 2 + 37*b - 2 - 2 + 7. 37*b + 1 Collect the terms in 203*w**3 - 129 - 205*w**3 + 136. -2*w**3 + 7 Collect the terms in 4*d**2 - 99 - 7*d + 99 + 21*d**2. 25*d**2 - 7*d Collect the terms in -10*m + 23*m - 25*m + 14*m + 18*m. 20*m Collect the terms in -86*b + 28 - 26 + 47*b. -39*b + 2 Collect the terms in 3351*l**3 - 12845*l**3 - 1466*l**3. -10960*l**3 Collect the terms in -90*i**2 - 221*i**2 + 6*i**2 - 68*i**2. -373*i**2 Collect the terms in -24 - 2399*p + 2400*p + 2 + 1. p - 21 Collect the terms in 2031026*g**3 - 4062060*g**3 + 2031031*g**3. -3*g**3 Collect the terms in 38 - 66 + 28 + 150*q. 150*q Collect the terms in -233*p**2 - 357*p**2 + 21*p - 21*p. -590*p**2 Collect the terms in 9*f + 6*f + 46*f - 57*f + 42*f. 46*f Collect the terms in -2 + 6644*n**2 + 103*n - 202*n + 97*n. 6644*n**2 - 2*n - 2 Collect the terms in -6*o + 67*o - 18*o - 28*o - 21*o. -6*o Collect the terms in 0*l**2 - 10*l**2 + 26779*l**3 + 10*l**2. 26779*l**3 Collect the terms in 7*a**2 + 1 + 13915*a - 13915*a. 7*a**2 + 1 Collect the terms in c + 1001*c**2 - 422*c**2 - 426*c**2. 153*c**2 + c Collect the terms in 0 + 1882*u - 1845*u - 1. 37*u - 1 Collect the terms in -36*u + 72*u - 246*u - 135*u. -345*u Collect the terms in -8*r**3 - 14*r**3 + 47272210*r**2 + 25*r**3 - 47272210*r**2. 3*r**3 Collect the terms in 4209*w**2 + 4217*w**2 - 12634*w**2 + 4218*w**2. 10*w**2 Collect the terms in 88*x**2 + 5700*x - 5700*x - 88*x**2 + x**3 - 2*x**3. -x**3 Collect the terms in 153*r**2 - 1 - 470*r**2 - 3 + 2. -317*r**2 - 2 Collect the terms in -5*h**3 + 70 - 70 + 113*h. -5*h**3 + 113*h Collect the terms in -4*v - 741*v**3 + 601*v**3 + 5*v. -140*v**3 + v Collect the terms in -2578 - 262*k - 505*k + 2578. -767*k Collect the terms in 12 - 5 - 455*g**2 - 7 - 246*g**2 + 679*g**2. -22*g**2 Collect the terms in 974*q**2 + 10 + 25 + 6 - 7 - 988*q**2. -14*q**2 + 34 Collect the terms in -17778897*f + 17778897*f + 5*f**3 - 15*f**2 + 3*f**2. 5*f**3 - 12*f**2 Collect the terms in 80169 - 160343 - 24*z**3 + 80174 + 74*z**3. 50*z**3 Collect the terms in -4*h + 24 + 8*h - h. 3*h + 24 Collect the terms in -2*h**2 - h**2 + 161*h**3 - 127*h**3. 34*h**3 - 3*h**2 Collect the terms in 1878*f**3 - 391*f**3 - 396*f**3 - 1094*f**3. -3*f**3 Collect the terms in 4 - 1151*m - 3*m**2 + 2296*m - 4 - 1139*m. -3*m**2 + 6*m Collect the terms in -6*b + 3*b + b - 42509 + b. -b - 42509 Co
{ "pile_set_name": "DM Mathematics" }
-l**2 - 9*l + 29153. Calculate r(-155). 6523 Let w(o) = -178*o - 1954. What is w(-14)? 538 Let l(q) = q**3 - 317*q**2 + 989*q - 14756. Determine l(314). 2 Let z(d) = d**2 + 1013*d - 26062. Give z(25). -112 Let f(n) = n**3 - 40*n**2 - 1262*n - 126. What is f(61)? 1033 Let k(p) = -50*p**2 - 217*p + 6789. Give k(-14). 27 Let p(u) = 2*u**3 - 1528*u**2 + 77893*u + 5313. Determine p(55). -22 Let f(s) = -4*s**2 + 613*s + 23721. Calculate f(-32). 9 Let r(l) = 2*l**3 + 16*l**2 - 6*l - 1823. Determine r(0). -1823 Let j(g) = -2735*g - 1893. Determine j(-1). 842 Let v(a) = -13*a**2 - 1879*a + 18938. Give v(-154). -4 Let k(v) = -524151*v - 2096625. Give k(-4). -21 Let p(o) = o**2 - 91889*o - 827076. Give p(-9). 6 Let h(d) = 2*d**3 - 25*d**2 - 224*d + 145. What is h(16)? -1647 Let h(k) = k**2 - 2969*k - 540314. Calculate h(-172). -62 Let q(f) = 133*f**3 + 33*f**2 + 74*f + 6. Calculate q(-2). -1074 Let d(c) = -52*c**3 - 229*c**2 + 176*c + 108. Determine d(-5). 3 Let n(f) = 7284*f + 495323. What is n(-68)? 11 Let y(i) = i**2 + 197519*i - 23. Calculate y(0). -23 Let c(t) = 5*t**3 + 5*t**2 - 431*t - 2451. What is c(-6)? -765 Let g(f) = -284*f - 974. What is g(-9)? 1582 Let x(j) = -2700*j**2 + 27038*j - 421. What is x(10)? -41 Let s(j) = -5446*j + 141599. Determine s(26). 3 Let l(b) = b**3 - 242*b**2 + 2971*b + 73. Give l(13). -5 Let l(f) = -141901*f - 141943. What is l(-1)? -42 Let c(v) = 2*v**3 + 122*v**2 + 103*v + 733. Give c(-60). 1753 Let h(f) = -f**3 - 13*f**2 - 51*f - 121. Calculate h(-5). -66 Let k(h) = 34*h**3 - 8124*h**2 - 536*h + 13867. Calculate k(239). 5 Let w(r) = 7*r**2 - 1737*r - 4869. Calculate w(251). 151 Let l(r) = -3*r**3 - 33*r**2 + 4*r - 193. Calculate l(-9). -715 Let g(u) = 1332025*u - 9324181. What is g(7)? -6 Let v(r) = -r**3 - 5*r**2 + 2648*r + 259. Give v(0). 259 Let c(y) = -y**2 + 936395*y - 6554715. Calculate c(7). 1 Let q(k) = 2322*k + 936273. Calculate q(-403). 507 Let a(o) = 29*o**3 - 262*o**2 - 80*o + 814. Determine a(9). 13 Let q(u) = u**2 + 59301*u - 1898649. Calculate q(32). 7 Let w(k) = 654*k - 18198. What is w(28)? 114 Let k(a) = 15*a**2 - 80*a - 11. Give k(-10). 2289 Let x(k) = -5*k**2 - 725*k - 11710. Give x(-17). -830 Let g(z) = -z**2 + 32768*z + 229447. Give g(-7). 22 Let w(u) = u**3 - 230*u**2 + 1563*u - 621. What is w(223)? -175 Let a(l) = 2*l**2 + 64*l + 507. What is a(-18)? 3 Let t(l) = -15*l**2 - 162*l - 93. Calculate t(-12). -309 Let x(g) = -8*g**2 - 137*g + 33. Give x(-17). 50 Let b(a) = -242*a + 17332. Calculate b(72). -92 Let c(z) = -3*z**3 - 36*z**2 - 94*z + 49. What is c(-4)? 41 Let g(r) = -665*r**2 + 131049*r - 8690. What is g(197)? -22 Let d(v) = -38*v**3 - 16*v**2 + 28*v. Calculate d(2). -312 Let p(d) = -9*d**2 + 336*d + 37. Give p(40). -923 Let c(h) = h**2 - 18833*h + 188218. Give c(10). -12 Let k(s) = -10*s**2 + 1165*s - 11604. Determine k(11). 1 Let q(u) = -350798*u + 2455580. Give q(7). -6 Let v(f) = 2*f**2 - 2012*f - 29577. Give v(-15). 1053 Let r(k) = k**2 + 256*k + 6152. Determine r(-30). -628 Let v(m) = -11247*m - 56181. Give v(-5). 54 Let z(m) = 62*m**2 - 2299*m + 2413. Determine z(36). 1 Let j(a) = -20715*a + 20690. What is j(1)? -25 Let d(k) = -k**3 - 33*k**2 + 187*k + 9164. Give d(-28). 8 Let j(c) = 65448*c + 7853753. What is j(-120)? -7 Let r(z) = 16*z**3 + 94*z**2 - 40*z - 288. What is r(-6)? -120 Let r(d) = -1392*d + 9732. What is r(7)? -12 Let r(q) = -q**3 + 48*q**2 + 92*q - 243. Determine r(50). -643 Let v(i) = -i**2 - 87*i + 4048. Calculate v(-119). 240 Let a(t) = 1909*t - 68731. Calculate a(36). -7 Let n(k) = 4*k**3 - 157*k**2 - 287*k - 77. Determine n(41). -77 Let l(v) = v**3 + 638*v**2 + 5673*v - 381200. Give l(-628). -4 Let v(k) = -8851*k**2 - 389449*k - 208. What is v(-44)? 12 Let x(w) = 2757*w + 38642. What is x(-14)? 44 Let p(g) = -15*g**2 - 855*g - 4608. What is p(-51)? -18 Let d(s) = 14*s**2 + 922*s - 22577. Give d(19). -5 Let o(t) = -272*t + 1201. What is o(3)? 385 Let a(m) = 3*m**3 + 5*m**2 - 12*m - 34. What is a(-6)? -430 Let k(h) = -6093*h**3 - 16*h**2 + 3*h + 19. What is k(-1)? 6093 Let x(g) = -g**3 + 25*g**2 + 1114*g - 1461. Determine x(-24). 27 Let p(i) = 6722*i + 3414769. What is p(-508)? -7 Let j(x) = -5953*x - 41639. Calculate j(-7). 32 Let g(q) = 17*q**2 - 8899*q - 4602. Determine g(524). 114 Let d(s) = -260962*s + 3392511. Determine d(13). 5 Let y(q) = -2*q**3 + 2*q**2 - 3*q - 196. Determine y(0). -196 Let q(t) = 2303*t - 149728. Calculate q(65). -33 Let y(i) = -359*i + 2164. Calculate y(3). 1087 Let z(x) = -x**3 + 12*x**2 - 7622*x + 30367. What is z(4)? 7 Let q(n) = n**3 - 62*n**2 - 1114*n - 2742. Determine q(-3). 15 Let f(h) = h**2 + 1240*h + 258537. Give f(-265). 162 Let l(t) = -10*t**2 + 6332*t - 13815. Calculate l(631). 67 Let k(x) = 8*x**2 + 672*x - 27356. Give k(-114). 4 Let l(s) = 1514*s + 77. Calculate l(2). 3105 Let k(m) = 2*m**2 + 139*m - 2209. Give k(14). 129 Let n(i) = -14606*i + 1066242. Calculate n(73). 4 Let g(p) = -4*p**2 - 5266*p - 36659. Determine g(-7). 7 Let n(b) = 473*b + 88843. Determine n(-188). -81 Let d(x) = 4*x**3 - 930*x**2 + 419*x + 10440. Give d(232). 0 Let v(d) = -6*d**2 + 16109*d + 48389. Determine v(-3). 8 Let i(q) = 6*q**2 + 354*q - 8244. What is i(-77)? 72 Let b(a) = a**3 + 221*a**2 + 93*a + 20553. What is b(-221)? 0 Let s(y) = 91*y**3 + 1247*y**2 - 44*y + 29. Determine s(-14). -4647 Let m(c) = 4*c**2 + 134725*c + 538920. What is m(-4)? 84 Let g(f) = f**3 - 40*f**2 - 155*f - 11013. Give g(48). -21 Let l(w) = 4316*w - 159665. Give l(37). 27 Let o(w) = -526080*w - 8943358. Give o(-17). 2 Let o(d) = 7*d**3 + 10*d**2 - 67*d - 293. What is o(-4)? -313 Let v(j) = -4*j**3 - 45*j**2 - 121*j + 80. What is v(-9)? 440 Let i(h) = -h**2 + 143266*h + 4298875. Give i(-30). -5 Let z(m) = -m**2 - 170*m + 4025. Calculate z(-191). 14 Let c(r) = -523*r**2 + 6*r + 36. Give c(0). 36 Let t(v) = v**3 + 3*v**2 + 52*v - 418. What is t(10)? 1402 Let g(x) = -1336*x + 28191. Give g(21). 135 Let t(a) = 25*a**3 - 1298*a**2 - 2693*a - 1. Calculate t(-2). -7 Let j(q) = -33*q**2 - 292*q + 677. What is j(2)? -39 Let w(p) = -p**2 + 72*p - 1488. Give w(57). -633 Let t(f) = 34497*f + 310489. Determine t(-9). 16 Let s(j) = j**2 + 573*j - 58146. Give s(88). 22 Let s(i) = 13*i**2 + 15*i + 45. Give s(-7). 577 Let y(w) = 19676*w - 865734. What is y(44)? 10 Let k(m) = -814*m + 786309. Give k(966). -15 Let w(j) = -j**2 + 98*j - 2486. Determine w(20). -926 Let y(n) = -4*n**3 - 3*n**2 - 89*n - 418. Calculate y(-7). 1430 Let y(d) = 2*d**2 - 247*d + 2375. What is y(10)? 105 Let p(c) = 115*c + 823. Give p(-6). 133 Let x(u) = u**2 + 7049*u - 14094. What is x(2)? 8 Let k(h) = h**3 + 354*h**2 + 1451*h + 17866. Determine k(-350). 16 Let w(a) = -3694*a - 55492. Determine w(-15). -82 Let k(m) = -76*m + 11479. Calculate k(151). 3 Let p(r) = 54*r - 592. Determine p(25). 758 Let q(y) = -y**2 - 33*y + 1105. Give q(-44). 621 Let i(r) = 8*r**3 - 448*r**2 - 23*r + 959. Determine i(56). -329 Let o(a) = -22578*a + 541857. What is o(24)? -15 Let c(k) = -2960*k - 290107. Calculate c(-98). -27 Let t(j) = 1135*j - 137300. Give t(121). 35 Let f(u) = u**3 - 52*u**2 - 258*u - 1437. Determine f(57). 102 Let s(h) = 13*h**2 - 128*h + 993. Give s(10). 1013 Let x(k) = 2737*k + 11177. What is x(-4)? 229 Let h(r) = -10*r**2 - 22*r + 20. Determine h(-2). 24 Let t(u) = 28*u**2 - 41*u - 2502. Determine t(-9). 135 Let d(k) = 5773*k - 404070. Determine d(70). 40 Let k(f) = -79*f + 5817. Determine k(72). 129 Let f(k) = 8610*k + 490376. Give f(-57). -394 Let y(x) = -1083*x - 3446. Determine y(-4). 886 Let z(k) = -k**2 - 201*k - 8426. Calculate z(-136). 414 Let w(g) = -g**3 - 9*g**2 + 398*g + 4925. What is w(-13)? 427 Let u(d) = 4*d**2 - 70028*d - 1121481. Calculate u(-16). -9 Let m(h) = h**3 + 37*h**2 + 248*h + 56. Determine m(-20). 1896 Let n(q) = -q**3 - 2*q**2 - 68*q + 748. What is n(0)? 748 Let g(s) = s**3 - 18*s**2 - 177*s + 1311. What is g(21)? -1083 Let u(b) = 13325*b**2 - 39997*b + 12. Give u(3). -54 Let u(p) = -22627*p - 22730. Calculate u(-1). -103 Let n(y) = -139122*y + 278245. Give n(2). 1 Let x(s) = -19*s**2 + 220*s - 123. What is x(8)? 421 Let l(j) = -11*j**2 - 7730*j - 106059. Determine l(-14). 5 Let t(y) = 1058*y - 5812. What is t(7)? 1594 Let t(c) = 8*c**2 + 573*c - 3380. Determine t(-77). -69 Le
{ "pile_set_name": "DM Mathematics" }
d + 5350. Round d to the nearest 100. 1100 Let s = 22061 + -21908.976. Let d = s + -0.024. Let t = d + -152.00067. What is t rounded to 4 dps? -0.0007 Let v = 50.41057 + -36.4075. Let p = 39 + -25. Let d = v - p. Round d to 4 dps. 0.0031 Let h = -80.1 - -831.1. Let s = h - 712.2. Round s to the nearest 10. 40 Let q = 25.066 - 14.541. What is q rounded to 0 dps? 11 Let i = 19136262.99829 - 19136453. Let r = 1067 + -1257. Let y = i - r. What is y rounded to four dps? -0.0017 Let t = -40261 + 40193.852. Let q = -374 + 307. Let f = q - t. Round f to one decimal place. 0.1 Let z = 123.5623 - 2.5923. Let y = 122 - z. Let w = y + -1.0382. What is w rounded to three dps? -0.008 Let f = -0.448 + 0.38. Let a = 14.10138031 + -14.03338. Let h = f + a. What is h rounded to 7 dps? 0.0000003 Let n = -182227 + 182047.646. Let y = 181.4 + n. Round y to 1 decimal place. 2 Let w = -1788.13 - -1899.7. What is w rounded to the nearest 100? 100 Suppose 0 = -b + 5*y + 2374, b + 0*y = 3*y + 2364. Let d(f) = 1568*f**2 - 2*f - 1. Let c be d(-1). Let t = b - c. Round t to the nearest 100. 800 Let w = -2833256389.263 - -2833257889.262996869. Let p = 1500 - w. Round p to 7 dps. 0.0000031 Let o = -221.06 + 652.4. What is o rounded to the nearest ten? 430 Let o = 0.06985 + -0.0698516388. What is o rounded to 7 decimal places? -0.0000016 Let h = -22796 + -28886. Let t be h/(-4) + 56/(-112). What is t rounded to the nearest one thousand? 13000 Let x = -18.344 - -34.953. What is x rounded to one decimal place? 16.6 Let m = -3141 - -1630. Let p = m - -1511.00857. What is p rounded to 4 decimal places? 0.0086 Let n = 12592333 - 17872333. Round n to the nearest 100000. -5300000 Let n(o) = 2782*o**2 + 2*o - 4. Let v be (-10)/45 + 0 + 112/18. Let l(g) = g - 10. Let p be l(v). Let z be n(p). Round z to the nearest one thousand. 45000 Suppose -5*g + 28887649 = -74512866. Suppose -34319897 = -2*d + g. What is d rounded to the nearest one million? 28000000 Let h = -71425 - -71456.0046. Let x = 29.26 - -1.74. Let p = x - h. What is p rounded to 3 dps? -0.005 Let k = 0.461 - 33.223. What is k rounded to the nearest integer? -33 Let m(t) = -3211*t**3 - 15*t**2 + 19*t. Let f be m(14). Let b = 2163658 + f. What is b rounded to the nearest one million? -7000000 Let h = 5.365 - 5.4. Let a = h - -2.835. Let b = a - 2.84. Round b to one dp. 0 Let c = 63.280862240366 + -0.168930562766. Let r = c + -0.1119333576. Let h = r + -63. What is h rounded to six decimal places? -0.000002 Let z = 2676648.90587 - 11.90587. Let k = -2676636.998200463 + z. Let i = k - 0.0018. What is i rounded to seven decimal places? -0.0000005 Let q = -2205916 + 2206211.9554. Let i = -0.0446 - q. Let l = i - -296.000123. Round l to five decimal places. 0.00012 Let f = 11016571139 + -11016571132.740001243. Let n = f + -6.26. What is n rounded to seven dps? -0.0000012 Let o = -275.02315 + 274.9. Let b = 0.12 + o. Round b to four dps. -0.0032 Let u = 17.355 + 1.032. What is u rounded to 1 dp? 18.4 Let r = -1040.2 - -1040.199994337. What is r rounded to 5 decimal places? -0.00001 Let c = 486.9 + -460. Let q = 136.8 - 150.1. Let z = c - q. What is z rounded to the nearest ten? 40 Let y = 16.31 + -882.31. Let s = 865.99999713 + y. Round s to 7 dps. -0.0000029 Let c = 2899 - 2899.281. What is c rounded to one decimal place? -0.3 Let u be (-9 + 1 - (0 + -14)) + 51974. Round u to the nearest one thousand. 52000 Let b(s) = 2468520*s + 18. Let w be b(5). Suppose 0 = -14*v + 17*v - w. Suppose v + 109794 = 11*y. What is y rounded to the nearest one hundred thousand? 400000 Let g be (-202853)/(-2) - (34/(-4) + 10). Suppose 3*s + 2*b - 304210 = 0, 0*s - 5*b = s - g. Round s to the nearest one thousand. 101000 Let f = -0.34 + -4.76. Let b = -0.27061 - -5.37091. Let r = f + b. Round r to 4 decimal places. 0.0003 Suppose -2*a + 10 = 0, -5*f - 4*a + 4587914 = -462106. Round f to the nearest 100000. 1000000 Let a = -22950 - -23251.21. What is a rounded to zero dps? 301 Let i = -102 - -43. Let c = 44.5 + -98.8. Let p = i - c. Round p to 0 dps. -5 Let a = 1682460 + -1682447.60457. Let h = -1155.01243 + a. Let t = -1142 - h. What is t rounded to 2 dps? 0.62 Let n = 2717.0031 - 2717. What is n rounded to two decimal places? 0 Suppose 0 = 123*u + 54*u + 13475010. Round u to the nearest 10000. -80000 Let a(o) = -o**3 + 9*o**2 - 3*o - 14. Let y be a(7). Let d be ((y/4)/(-9))/(2/(-40)). Let h = -74 + d. What is h rounded to the nearest 10? -40 Suppose 2*i - 4*f = 2227228, i - 868642 = -2*f + 244944. Round i to the nearest one hundred thousand. 1100000 Let d = -1 - -5. Let b be (-167595)/(-105) + (0 + 1)/(-7). Let l be b/(d + -7) + -2. What is l rounded to the nearest 100? -500 Let u = 10223.0000016507 + -10223. Round u to six decimal places. 0.000002 Let t(h) = -9026917*h + 2 + 0 + 2666161*h. Let x be t(-1). Let p = -8839242 - x. Round p to the nearest one million. -15000000 Let s = 381917 - 381921.0999296. Let t = s - -4.1. Round t to five decimal places. 0.00007 Let v be (-2245319072)/42 - 62/651. Let g be -2 + v/12 - 2/(-12). What is g rounded to the nearest one hundred thousand? -4500000 Suppose -5*f - 154461 = -4*s, -595*f = 4*s - 594*f - 154431. What is s rounded to the nearest 10000? 40000 Let s = -363 + 550. Let i = -192.4637 + 2.8937. Let b = i + s. Round b to one dp. -2.6 Let n = 0.43597 + -0.26684. Let c = n - 11.41813. Let l = -11.2 - c. Round l to 2 dps. 0.05 Let f = 24.61 - -185.79. Let h = f - 185. Let c = 5.8 - h. Round c to 0 decimal places. -20 Let x = 359 + -340.1. Let d = x + 256.6. What is d rounded to the nearest one hundred? 300 Let s be 748/(-14) + (-20)/35. Let y be 360/s*2195*-6. Round y to the nearest 1000. 88000 Let d = -39.113 + 39.11290191. Round d to 5 dps. -0.0001 Let a = 2.593 + 0.007. Let m = a - -95.4. Let n = -97.999973 + m. Round n to 4 decimal places. 0 Suppose 0 = 6*b + 9 + 3. Let z be (-3*b/4)/(3/14). Let r be z/14 - (-13319997)/6. Round r to the nearest one hundred thousand. 2200000 Let j = -153028.99880459 - -153029. What is j rounded to four decimal places? 0.0012 Suppose 2*h - 4*m = -168630, 61515 + 191410 = -3*h + 10*m. Round h to the nearest one hundred. -84300 Let l = 61.7 - 63. Let i = l + 4.7. Let d = i - 6. What is d rounded to the nearest integer? -3 Let x = -1363 + 1412.55. Let g = -44.7 + x. Round g to one decimal place. 4.9 Let i = 3148 + 42821. What is i rounded to the nearest 1000? 46000 Let p = 0.035989 - 0.036029923. Round p to 6 decimal places. -0.000041 Let x = 4520.07 - -521.63. Let j = -4788 + x. Let v = j + -266. Round v to the nearest integer. -12 Let c = 459.9498 + 0.0502. Let w = 460.000000466 - c. Round w to seven dps. 0.0000005 Let k = 6 - 0. Let r be (98 + -1)/(1/(k + -5)). Let x = -61 + r. Round x to the nearest 10. 40 Let v = -1073.278932 - -1073.3. Let w = v - 154.094068. Let s = w + 154. Round s to 2 decimal places. -0.07 Let i = -1.1167 + -3551.7633. Let n = -3603.880019 - i. Let f = n - -51. Round f to five decimal places. -0.00002 Let a = 76 - 77. Let i(t) be the first derivative of 332999*t**3/3 + t**2/2 + 2*t - 7. Let w be i(a). Round w to the nearest one hundred thousand. 300000 Let m = 75.862 - 75. Let a = m - -0.198. What is a rounded to the nearest integer? 1 Let k = -3092 + 3077.461. Let d = 0.061 - k. Let o = d + -14.59999907. Round o to 7 decimal places. 0.0000009 Let x = 5750.799 + -3.799. Let k = 6230.2 - x. Round k to the nearest ten. 480 Let m = -69157 - -68879.21. What is m rounded to the nearest ten? -280 Suppose -c + 10 = 13, 4*y = -3*c - 29. Let n be (-76 + 81)*8*58/y. What is n rounded to the nearest 100? -500 Let w = 440.35 + -5.35. Let u = w + -436.97. Let l = -1.97000273 - u. Round l to 7 dps. -0.0000027 Let b = 126 + -244. Let r = 118.068 + b. Round r to 1 dp. 0.1 Let f = -0.7793 + 0.84436. Round f to three decimal places. 0.065 Let g(b) = -b**3 - 40*b**2 - 43*b - 152. Let x be g(-39). Suppose -x*s = -8*k + 4*k - 29600, -s = 3*k + 22200. Round k to the nearest 100. -7400 Let z(x) = 6383*x**2 - 3*x + 24. Let r be z(9). Round r to the nearest ten thousand. 520000 Let k = -265240642711.999999669 - -265240642229. Let n = 1079 + -596. Let a = k + n. Round a to 7 dps. 0.0000003 Let r(z) be the third derivative of z**5/60 + z**4/4 + z**3 + 19*z**2. Let g b
{ "pile_set_name": "DM Mathematics" }
30423, -98630424, -98630425? -98630426 What is the next term in 3413822, 3413752, 3413682, 3413612? 3413542 What is the next term in 2465, 4541, 6227, 7523, 8429, 8945, 9071? 8807 What comes next: 69937, 280268, 630819, 1121590, 1752581, 2523792? 3435223 What is the next term in -9640, -18782, -27436, -35608, -43304, -50530, -57292? -63596 What is the next term in 5456435, 10912837, 16369239, 21825641? 27282043 What is next in -1087262318, -1087262319, -1087262320, -1087262321? -1087262322 What is next in -53993252, -53993238, -53993224, -53993210? -53993196 What is next in -635, -2300, -5079, -8972? -13979 What is the next term in 116998, 468081, 1053220, 1872415, 2925666? 4212973 What comes next: 414667, 829340, 1244013, 1658686, 2073359, 2488032? 2902705 What is next in 5, -50, -159, -346, -635, -1050, -1615? -2354 What comes next: 10219763, 20439515, 30659259, 40878995, 51098723? 61318443 What comes next: -4175, -6967, -9761, -12557, -15355? -18155 What is the next term in 5597295, 11194595, 16791895? 22389195 What is next in -24167995, -24168013, -24168057, -24168139, -24168271, -24168465, -24168733? -24169087 What is the next term in -252386, -504704, -756968, -1009178? -1261334 What comes next: -5830688, -11661389, -17492104, -23322839, -29153600, -34984393, -40815224? -46646099 What comes next: 1043531, 4173985, 9391409, 16695803? 26087167 What comes next: 85159, 170100, 255043, 339988, 424935, 509884, 594835? 679788 What comes next: 332502282, 665004565, 997506848, 1330009131, 1662511414? 1995013697 What is next in 4634935, 4634939, 4634943, 4634947, 4634951, 4634955? 4634959 What comes next: 271774, 543548, 815330, 1087120, 1358918, 1630724, 1902538? 2174360 What is next in -42168, -84184, -126064, -167820, -209464, -251008, -292464, -333844? -375160 What comes next: -2867, -23333, -79187, -188219, -368219, -636977? -1012283 What is the next term in -239259, -957032, -2153321, -3828126, -5981447? -8613284 What is the next term in -1580, -1700, -1814, -1922, -2024, -2120, -2210? -2294 What comes next: 16923, 33504, 49737, 65622, 81159, 96348, 111189? 125682 What is next in -118107, -118122, -118137, -118152, -118167, -118182? -118197 What is next in -284, -1125, -2674, -4931? -7896 What comes next: -42550, -39165, -35780, -32395, -29010, -25625? -22240 What is the next term in 35183, 35174, 35153, 35114, 35051, 34958? 34829 What is next in 6192, 6564, 6936? 7308 What comes next: 5285346, 5285325, 5285304? 5285283 What comes next: 7067, 7483, 7885, 8267, 8623, 8947, 9233, 9475? 9667 What is the next term in -30052416, -30052394, -30052372, -30052350, -30052328, -30052306? -30052284 What is the next term in -1790281, -1790279, -1790277? -1790275 What is the next term in 181585367, 181585369, 181585371, 181585373, 181585375, 181585377? 181585379 What is the next term in 1053, 838, 493, 18, -587, -1322? -2187 What is the next term in 218337, 437031, 655725, 874419, 1093113? 1311807 What comes next: 94150, 94123, 94082, 94027? 93958 What is the next term in -3625, -14803, -25983, -37165? -48349 What comes next: -138, 717, 2376, 4839, 8106? 12177 What comes next: 1280414, 2560834, 3841254, 5121674, 6402094? 7682514 What comes next: 4615423, 9230798, 13846173, 18461548, 23076923? 27692298 What is next in -2296744, -4593485, -6890192, -9186847, -11483432, -13779929, -16076320, -18372587? -20668712 What is the next term in 57, -357, -879, -1509? -2247 What comes next: -2678897, -10715591, -24110087, -42862391, -66972509? -96440447 What is next in -1208075, -1208021, -1207969, -1207919? -1207871 What is the next term in -169356, -169364, -169374, -169386, -169400, -169416, -169434? -169454 What is next in -2988, -2871, -2588, -2055, -1188, 97? 1884 What comes next: 15426, 19243, 23060, 26877, 30694? 34511 What is the next term in 2749586, 2749581, 2749572, 2749559, 2749542? 2749521 What comes next: 13911415, 13911423, 13911437, 13911457? 13911483 What is next in 1060201218, 1060201220, 1060201222, 1060201224, 1060201226, 1060201228? 1060201230 What comes next: 3178061, 6356119, 9534177, 12712235? 15890293 What is next in 16110, 14868, 13626? 12384 What is next in -6349, -5728, -4693, -3244, -1381, 896? 3587 What is next in 79899, 79920, 79925, 79908, 79863, 79784, 79665, 79500? 79283 What is the next term in -2120, -3545, -4952, -6335, -7688? -9005 What is next in -34318871, -68637746, -102956621, -137275496, -171594371, -205913246? -240232121 What is next in 46432, 46555, 46666, 46759, 46828, 46867, 46870? 46831 What comes next: -49647, -198551, -446719, -794151, -1240847, -1786807? -2432031 What is the next term in 15274, 14916, 14274, 13312, 11994? 10284 What comes next: 787648, 787663, 787678, 787693? 787708 What comes next: -61967579, -61967580, -61967581? -61967582 What is the next term in 295553, 591082, 886611, 1182140, 1477669? 1773198 What is next in -9362, -9177, -8870, -8441, -7890, -7217, -6422? -5505 What comes next: 190, 458, 806, 1234, 1742, 2330, 2998? 3746 What comes next: -162814, -162757, -162700, -162643? -162586 What is the next term in -65214845, -65214851, -65214861, -65214875? -65214893 What comes next: -15364, -60518, -135774, -241132, -376592? -542154 What is the next term in -907498, -907365, -907232, -907099? -906966 What comes next: 12675, 12728, 12829, 12978? 13175 What is next in 580, -192, -952, -1700? -2436 What is the next term in 430, 1044, 1944, 3130, 4602, 6360? 8404 What is next in 16889, 33640, 50427, 67256, 84133? 101064 What is the next term in 62153507, 62153504, 62153501? 62153498 What comes next: 92734040, 92734037, 92734032, 92734025, 92734016? 92734005 What is next in 219107, 218854, 218601, 218348? 218095 What is the next term in 3599, 3497, 3331, 3101, 2807, 2449, 2027? 1541 What is the next term in -4616, -8268, -11920, -15572, -19224, -22876? -26528 What is the next term in -40511, -40530, -40549, -40568, -40587? -40606 What comes next: 262341, 262448, 262555, 262662, 262769? 262876 What is the next term in -4195856, -8391714, -12587572, -16783430? -20979288 What is next in 735, 1626, 2339, 2886, 3279? 3530 What comes next: 335699, 671928, 1008175, 1344446, 1680747, 2017084, 2353463, 2689890? 3026371 What comes next: -1665405, -1665329, -1665289, -1665291, -1665341, -1665445, -1665609? -1665839 What is the next term in 3244, 6488, 9738, 13000, 16280, 19584, 22918, 26288? 29700 What is the next term in -11385, -45502, -102347, -181920, -284221, -409250, -557007? -727492 What comes next: -179, -14481, -53291, -128861, -253443, -439289? -698651 What comes next: 35098, 70165, 105232, 140299, 175366? 210433 What is the next term in -9161, -82013, -282233, -673505, -1319513? -2283941 What is next in -8943, -35740, -80365, -142830, -223147? -321328 What is the next term in -1328, -5496, -12442, -22166, -34668? -49948 What is next in -19751, -39433, -59109, -78779? -98443 What is the next term in 21465535, 42931069, 64396603, 85862137, 107327671? 128793205 What is the next term in 1061, 1690, 2745, 4226? 6133 What comes next: 5315, 8385, 9221, 7823? 4191 What comes next: 24613273, 49226551, 73839829, 98453107, 123066385, 147679663? 172292941 What is next in -55944, -111850, -167706, -223512, -279268, -334974? -390630 What is the next term in -4823790, -4823805, -4823830, -4823865, -4823910, -4823965, -4824030? -4824105 What is next in 2277, 4540, 6767, 8964, 11137? 13292 What is the next term in 855, 181, -567, -1383, -2261, -3195? -4179 What is next in 3223589, 3223585, 3223579, 3223571? 3223561 What is the next term in -1260881, -1260864, -1260847, -1260830, -1260813? -1260796 What is the next term in -7366, -7458, -7612, -7822, -8082? -8386 What is next in 96634, 386289, 868982, 1544659, 2413266, 3474749? 4729054 What comes next: -38, -384, -822, -1256, -1590? -1728 What is next in 23763248, 23763250, 23763252, 23763254? 23763256 What is next in 131150, 524625, 1180424, 2098553, 3279018, 4721825, 6426980? 8394489 What comes next: -150662, -602642, -1355942, -2410562, -3766502, -5423762, -7382342? -9642242 What comes next: 44634, 44432, 44066, 43512, 42746? 41744 What is the next term in -4638, -18601, -41874, -74457? -116350 What is the next term in 6323, 50592, 170841, 405080, 791319, 1367568,
{ "pile_set_name": "DM Mathematics" }
here between 1:06 PM and 8:32 PM? 446 What is 62 minutes before 7:00 PM? 5:58 PM How many minutes are there between 9:36 AM and 5:38 PM? 482 What is 592 minutes before 3:49 PM? 5:57 AM How many minutes are there between 11:16 AM and 10:47 PM? 691 What is 249 minutes after 8:45 PM? 12:54 AM How many minutes are there between 5:45 PM and 3:52 AM? 607 What is 667 minutes before 10:14 PM? 11:07 AM How many minutes are there between 1:38 AM and 12:06 PM? 628 What is 10 minutes after 11:20 PM? 11:30 PM What is 170 minutes before 6:35 AM? 3:45 AM What is 353 minutes after 3:25 PM? 9:18 PM How many minutes are there between 9:31 PM and 6:26 AM? 535 What is 552 minutes before 1:48 PM? 4:36 AM What is 184 minutes before 8:34 PM? 5:30 PM How many minutes are there between 9:23 PM and 10:54 PM? 91 What is 320 minutes after 5:03 PM? 10:23 PM What is 482 minutes before 9:40 AM? 1:38 AM What is 324 minutes before 6:32 AM? 1:08 AM What is 414 minutes before 5:48 PM? 10:54 AM What is 430 minutes before 1:46 PM? 6:36 AM How many minutes are there between 10:27 AM and 11:21 AM? 54 What is 53 minutes before 1:44 PM? 12:51 PM What is 501 minutes before 11:32 PM? 3:11 PM How many minutes are there between 6:16 AM and 4:55 PM? 639 What is 448 minutes after 9:03 AM? 4:31 PM What is 165 minutes after 4:55 PM? 7:40 PM How many minutes are there between 10:31 AM and 3:14 PM? 283 What is 195 minutes before 2:33 AM? 11:18 PM How many minutes are there between 4:34 PM and 8:37 PM? 243 How many minutes are there between 9:33 PM and 7:58 AM? 625 What is 296 minutes after 4:57 AM? 9:53 AM What is 9 minutes after 8:01 AM? 8:10 AM What is 443 minutes after 2:34 PM? 9:57 PM How many minutes are there between 1:50 AM and 1:22 PM? 692 How many minutes are there between 9:44 AM and 4:29 PM? 405 How many minutes are there between 10:19 AM and 10:25 AM? 6 What is 401 minutes after 11:38 PM? 6:19 AM How many minutes are there between 9:08 PM and 9:47 PM? 39 What is 246 minutes after 3:22 PM? 7:28 PM How many minutes are there between 11:46 AM and 1:37 PM? 111 What is 50 minutes before 9:31 AM? 8:41 AM How many minutes are there between 1:48 PM and 11:32 PM? 584 What is 315 minutes after 5:15 AM? 10:30 AM How many minutes are there between 3:22 PM and 2:06 AM? 644 How many minutes are there between 4:34 AM and 9:29 AM? 295 How many minutes are there between 5:00 PM and 5:52 PM? 52 How many minutes are there between 12:21 PM and 8:13 PM? 472 How many minutes are there between 1:10 AM and 8:19 AM? 429 How many minutes are there between 3:35 AM and 2:03 PM? 628 How many minutes are there between 4:37 AM and 8:47 AM? 250 What is 418 minutes before 4:02 AM? 9:04 PM What is 328 minutes after 8:38 PM? 2:06 AM What is 405 minutes after 9:41 PM? 4:26 AM How many minutes are there between 10:30 PM and 7:54 AM? 564 What is 501 minutes before 6:06 AM? 9:45 PM How many minutes are there between 9:06 AM and 2:30 PM? 324 What is 468 minutes before 12:48 PM? 5:00 AM What is 310 minutes after 12:48 AM? 5:58 AM What is 705 minutes before 2:15 PM? 2:30 AM How many minutes are there between 5:44 PM and 11:28 PM? 344 What is 321 minutes before 5:26 AM? 12:05 AM How many minutes are there between 5:51 AM and 11:11 AM? 320 What is 54 minutes before 5:04 AM? 4:10 AM What is 564 minutes after 10:32 PM? 7:56 AM What is 699 minutes before 12:52 PM? 1:13 AM How many minutes are there between 7:02 PM and 4:15 AM? 553 How many minutes are there between 5:39 PM and 8:18 PM? 159 What is 252 minutes after 1:16 AM? 5:28 AM How many minutes are there between 11:15 PM and 5:08 AM? 353 How many minutes are there between 10:30 PM and 5:58 AM? 448 What is 217 minutes after 10:28 AM? 2:05 PM What is 655 minutes before 8:43 AM? 9:48 PM How many minutes are there between 12:15 AM and 11:10 AM? 655 What is 583 minutes after 3:57 PM? 1:40 AM How many minutes are there between 5:48 AM and 11:01 AM? 313 What is 429 minutes before 5:00 PM? 9:51 AM What is 420 minutes after 2:21 PM? 9:21 PM How many minutes are there between 12:44 AM and 8:10 AM? 446 How many minutes are there between 11:02 AM and 10:30 PM? 688 How many minutes are there between 4:24 AM and 6:39 AM? 135 How many minutes are there between 1:13 AM and 9:06 AM? 473 What is 103 minutes after 8:42 AM? 10:25 AM What is 587 minutes after 11:48 AM? 9:35 PM How many minutes are there between 1:37 PM and 3:52 PM? 135 How many minutes are there between 7:41 PM and 6:24 AM? 643 What is 331 minutes after 9:42 AM? 3:13 PM How many minutes are there between 1:21 PM and 6:41 PM? 320 What is 49 minutes after 2:32 AM? 3:21 AM How many minutes are there between 11:49 PM and 10:56 AM? 667 What is 153 minutes before 5:23 PM? 2:50 PM What is 320 minutes before 11:42 PM? 6:22 PM What is 627 minutes before 1:24 PM? 2:57 AM How many minutes are there between 2:47 PM and 12:00 AM? 553 How many minutes are there between 6:58 PM and 12:58 AM? 360 What is 171 minutes after 2:27 PM? 5:18 PM How many minutes are there between 2:29 AM and 12:15 PM? 586 How many minutes are there between 8:19 AM and 1:37 PM? 318 What is 142 minutes after 11:12 AM? 1:34 PM How many minutes are there between 9:39 PM and 8:42 AM? 663 What is 367 minutes before 4:03 PM? 9:56 AM What is 585 minutes before 7:27 PM? 9:42 AM What is 265 minutes before 8:28 PM? 4:03 PM How many minutes are there between 1:10 AM and 9:21 AM? 491 How many minutes are there between 4:40 AM and 12:16 PM? 456 What is 670 minutes after 7:41 AM? 6:51 PM What is 50 minutes after 6:10 PM? 7:00 PM What is 502 minutes before 9:31 PM? 1:09 PM What is 291 minutes after 3:13 PM? 8:04 PM How many minutes are there between 7:42 AM and 11:57 AM? 255 How many minutes are there between 4:03 PM and 7:18 PM? 195 How many minutes are there between 12:37 PM and 10:28 PM? 591 How many minutes are there between 6:54 PM and 4:40 AM? 586 What is 166 minutes before 11:43 AM? 8:57 AM What is 623 minutes before 3:04 AM? 4:41 PM How many minutes are there between 2:56 AM and 8:50 AM? 354 What is 429 minutes after 7:09 AM? 2:18 PM What is 50 minutes before 12:25 AM? 11:35 PM What is 293 minutes before 1:16 PM? 8:23 AM What is 121 minutes before 1:40 PM? 11:39 AM What is 592 minutes before 5:10 PM? 7:18 AM How many minutes are there between 11:33 AM and 6:11 PM? 398 What is 302 minutes after 12:01 PM? 5:03 PM How many minutes are there between 8:43 AM and 7:06 PM? 623 What is 454 minutes before 5:51 PM? 10:17 AM What is 223 minutes after 1:26 AM? 5:09 AM What is 570 minutes after 6:44 PM? 4:14 AM What is 76 minutes after 9:40 AM? 10:56 AM How many minutes are there between 7:00 AM and 12:31 PM? 331 How many minutes are there between 5:47 AM and 1:10 PM? 443 How many minutes are there between 8:06 PM and 8:59 PM? 53 What is 612 minutes before 2:17 AM? 4:05 PM How many minutes are there between 2:56 AM and 11:17 AM? 501 What is 386 minutes after 12:47 AM? 7:13 AM How many minutes are there between 12:38 AM and 1:31 AM? 53 How many minutes are there between 6:05 AM and 7:43 AM? 98 How many minutes are there between 6:22 AM and 9:07 AM? 165 How many minutes are there between 7:37 AM and 5:54 PM? 617 What is 473 minutes before 2:48 PM? 6:55 AM How many minutes are there between 2:04 PM and 4:36 PM? 152 How many minutes are there between 7:30 AM and 5:48 PM? 618 How many minutes are there between 10:20 AM and 8:47 PM? 627 What is 625 minutes before 11:39 AM? 1:14 AM What is 578 minutes before 5:19 AM? 7:41 PM What is 33 minutes after 3:05 PM? 3:38 PM What is 639 minutes before 5:11 AM? 6:32 PM What is 115 minutes after 4:37 AM? 6:32 AM How many minutes are there between 10:31 AM and 7:21 PM? 530 What is 662 minutes after 12:34 AM? 11:36 AM How many minutes are there between 8:19 PM and 10:51 PM? 152 What is 507 minutes after 7:19 PM? 3:46 AM What is 309 minutes before 6:02 AM? 12:53 AM What is 578 minutes before 3:21 AM? 5:43 PM What is 553 minutes after 9:02 AM? 6:15 PM What is 585 minutes after 5:07 PM? 2:52 AM What is 692 minutes before 9:19 PM? 9:47 AM How many minutes are there between 11:57 PM and 12:17 AM? 20 What is 490 minutes after 4:30 AM? 12:40 PM What is 655 minutes after 3:39 PM? 2:34 AM How many minutes are there between 8:12 PM and 5:31 AM? 559 How many minu
{ "pile_set_name": "DM Mathematics" }
e (-3 - -4)/(c/1). Sort 0.3, 0.2, g in increasing order. 0.2, 0.3, g Let g = -24 + 44. Suppose 3*f = -2*f - g. Put 3, 2, f in decreasing order. 3, 2, f Let s = -12 + 7. Let w(c) = -c**3 + 2*c**2 - c - 2. Let g be w(2). Put -1, g, s in ascending order. s, g, -1 Let v = 5.5 + -5.1. Let y = -3 - -2.4. Let s = v - y. Put s, 3, 5 in descending order. 5, 3, s Let p = 2.28 + -2.18. Let k = 0.2 + -1.2. Sort k, 5/4, p. k, p, 5/4 Let p(o) = o**2 + 6*o + 1. Let y be p(-6). Suppose 7*c - 2*c = -3*d + 10, -4*d + 23 = -3*c. Suppose -3*f + u = -d, 3*f - 6*f - u - 5 = 0. Sort y, f, -1. -1, f, y Suppose 2*u + 5*a - 10 = 0, -3*u + 5*a - 3*a = 4. Suppose -y - 1 = -u. Let s be (-4)/(-22) - ((-31)/11 + 8). Sort -4, y, s in descending order. y, -4, s Let j = -186/5 + 467/10. Let q = -97/10 + j. Sort 2, q, -1/2. -1/2, q, 2 Let j be (-1)/(-1 + (-376)/(-370)). Let r = -61 - j. Put 0, 0.5, r in descending order. r, 0.5, 0 Let q = 2569 - 20439/8. Let h = q + -14. Sort -2, 2, h in decreasing order. 2, h, -2 Suppose 5*z = 2*v + 3, -v + 0 = 5*z + 9. Let n = 5 + -9. Let p = -0.2 + -0.3. Sort n, p, z. n, z, p Let r = 0.5 - -1. Let c = r + 0.5. Sort c, 3, 2/11 in decreasing order. 3, c, 2/11 Let m be 2/11 + (-240)/594. Sort -2, 0, m in ascending order. -2, m, 0 Let l = 0 + 0. Let x be (-34)/(-51) + 8/6. Put l, x, -5 in ascending order. -5, l, x Let o = 0.2 - -1.8. Let h be (-1)/(-4 - -3) + -12. Let s = h + 6. Sort s, o, -2/3 in descending order. o, -2/3, s Let c = -18/13 - -7/52. Put -5, -1, c in decreasing order. -1, c, -5 Let q = 5 - 7. Let d be 22/6 + (-2)/(-6). Sort 2, q, d. q, 2, d Suppose -3*j - 2*q = -4*j - 15, q = -3*j - 45. Let t(i) = -i - 17. Let l be t(j). Put l, -0.3, -5 in increasing order. -5, l, -0.3 Let z = 1/7 - -5/14. Let a = -15 - -27. Let d be -4*2/a + 2. Sort -2, z, d in descending order. d, z, -2 Let q be 7/(1/((-1)/(-1))). Let f(c) = -c**2 + 7*c - 1. Let y be f(q). Let i be (-2)/(-4)*y*4. Sort i, 2, 5. i, 2, 5 Let f = -58 - -59. Put f, -5, 0, -1 in descending order. f, 0, -1, -5 Suppose t = 2*t + 1. Let p be (-8)/t - (-9)/(-3). Suppose 0*l + 15 = p*l. Sort 4, -5, l in descending order. 4, l, -5 Let r = -13 + 12.5. Put 1, 1/3, r, -0.2 in descending order. 1, 1/3, -0.2, r Let l = 9 - 7. Suppose -5*p - 22 = -o, 0 = -2*p + p - l*o - 11. Let u be ((-4)/10)/(5/25). Sort p, u, -4 in descending order. u, -4, p Let s be (2 + -1)/(-1 + 2). Let b be (-1)/(1/6) + 0. Let u = b - -10. Sort -1, s, u. -1, s, u Let k = 1 + -2. Let q be 20/8*(2 - 4). Put q, k, 1 in decreasing order. 1, k, q Suppose -6*x + 2*x - 6 = -2*p, -5*p - 37 = 3*x. Put x, -3, -2 in ascending order. x, -3, -2 Let i = -0.48 + 0.5. Let t = -0.98 - i. Let n be 0 - (12/7 - 2). Sort n, t, -0.5 in decreasing order. n, -0.5, t Let k = 0.2 - 2.2. Let v = -1.8 + 2. Sort v, -1/2, k in descending order. v, -1/2, k Let q be 2/70 - 39/91. Let r = -13 + 17. Sort q, -0.5, r in descending order. r, q, -0.5 Let s(w) = 2*w**2 + 2*w - 2. Let z be s(-2). Suppose z*v = 4*v. Put -3, -2, v in decreasing order. v, -2, -3 Suppose -21 = 3*r - 6. Put 0, 2, r in increasing order. r, 0, 2 Let f(b) = b + 1. Let u be f(-1). Let y(j) = j**2 + 5*j + 2. Let t be y(-3). Sort 4, t, u. t, u, 4 Let t(i) = 3*i - 38. Let v be t(13). Sort v, 2, -5, -11. -11, -5, v, 2 Let i = -64 - -446/7. Suppose 0 = 5*n - 2*z + 375, -2*z - 2*z = -3*n - 211. Let k be n/28 - (-6)/8. Sort k, 0, i. k, i, 0 Let z be 4*-1*1/(-2). Let p be (-11)/4 + z/(-8). Put -2, 4, p in descending order. 4, -2, p Let f = -25 - -24.9. Sort f, -1/3, -5 in decreasing order. f, -1/3, -5 Suppose 2*d - 5 = -19. Let f = 11 + d. Let b be 42/(-144) + 2/12. Sort 1/4, b, f in ascending order. b, 1/4, f Let k = -17 - -27. Suppose 3*l + k = h, 2*h + h = -6. Sort -1, 0, l in descending order. 0, -1, l Let v = -21 - -17. Put 1/8, 1, v in ascending order. v, 1/8, 1 Let s be (-2)/8*4 + -3*1. Put -2, -1, s in ascending order. s, -2, -1 Let p = 24.378 + -0.478. Let x = p - 23. Let m = x + -0.4. Put 0, m, -4 in decreasing order. m, 0, -4 Suppose 5*w = 2 + 3. Let o be -1 + (4 - 6)/w. Put -4, o, 5 in decreasing order. 5, o, -4 Let w(a) = -a**3 - 2*a**2 + 2*a - 1. Let j be w(-3). Suppose 5*u + j = 4*v, 2*v + 4*u - 20 = -2*v. Sort v, -4, 4 in ascending order. -4, v, 4 Suppose -m - 3 - 4 = 3*i, -4*m + 8 = 0. Let j(f) = -f**3 + f - 1. Let a(z) = -6*z**3 - 4*z**2 + 3*z - 3. Let d(x) = a(x) - 5*j(x). Let u be d(-2). Sort u, i, 2. i, u, 2 Suppose 0 + 3 = 3*g. Let s = g + 2. Suppose -s*l = -0*l - 9. Sort -5, l, -3 in descending order. l, -3, -5 Let g = -28.1 + 28. Let r = -7 + 6.2. Let v = 0.2 - r. Sort v, g, 2. g, v, 2 Let v = -5.2 - -6. Let w = v + -1.7. Let c = w - -3.9. Sort c, 2, 1 in decreasing order. c, 2, 1 Let f = 106 + -113. Put -4, 0, f in decreasing order. 0, -4, f Let h = 125 + -127. Suppose 0*u = 5*u + 15. Sort u, 15, h in increasing order. u, h, 15 Let c = -96 - -94.94. Let a = c - -0.06. Sort a, 1, 4 in decreasing order. 4, 1, a Let y = 10 - 7. Suppose -o - 4*d = -4*o + 7, -o + d + 3 = 0. Let t be (-30)/(-72)*2/o. Sort y, -5, t. -5, t, y Let f = -78 - -74. Sort f, -2, 1 in decreasing order. 1, -2, f Let i = 0 + 0. Suppose -3*q = -i*q - 3. Put -2, -4, q in decreasing order. q, -2, -4 Let l = -2.8 - 15.2. Sort 0.3, l, 1/8 in ascending order. l, 1/8, 0.3 Let d be 0/((-1)/(-1) + 0). Suppose -4*m - y - 24 = -9, 3*y - 20 = m. Put m, d, 3 in descending order. 3, d, m Suppose -k + 4 = 10. Put k, -3, -2 in descending order. -2, -3, k Let h(f) = -f**3 - 6*f**2 + 8*f + 5. Let n be h(-7). Let x be (44/(-77))/(4/(-2)). Put 0, x, n in increasing order. n, 0, x Suppose 5*n = -z + 3 - 8, 1 = -n - 2*z. Let y = -3 + 2. Let q = 1 + y. Sort n, q, 5. n, q, 5 Let o = -56.2 + 56. Put 0, 1, -3, o in increasing order. -3, o, 0, 1 Suppose 5*p + 2*x - 6 = 0, 0 = 4*p + 2*x - 3*x - 10. Suppose 0 = 2*i + 6. Suppose -4*q = -5*l - 0*q + 19, 2*q = -2. Sort p, i, l in descending order. l, p, i Let w = 1.5 - 2. Let q = 1.44 + -1.49. Let g be (-1*3)/((-1)/(-1)). Put g, w, q in ascending order. g, w, q Let f = 120 + -116. Put f, 1, -2, -4 in decreasing order. f, 1, -2, -4 Let s = -552 - -555.01. Let z = -0.01 + s. Let o = -0.4 + 0.2. Put o, -4, z in decreasing order. z, o, -4 Let v be ((-3)/6)/((-2)/(-28)). Let x = -20 - v. Let j be x/5 + 6/(-15). Put j, 2/11, 0 in descending order. 2/11, 0, j Let x(k) = -k**3 - 15*k**2 - k - 20. Let c be x(-15). Sort c, 4, -1. c, -1, 4 Let a = 6 - 4. Let t = -0.21 + 0.11. Let y be (-6)/8*4*1. Put y, t, a in increasing order. y, t, a Let r = 0 + -4. Let n be (-5 - -4)/(1/7). Let l be (n/28)/((-1)/(-4)). Sort r, l, -3 in increasing order. r, -3, l Let a = -0.1 - 0.1. Put a, 0.4, 0.3 in ascending order. a, 0.3, 0.4 Let q = -2.98 + 3. Let f = 0.02 - q. Sort 2, f, 0.4 in descending order. 2, 0.4, f Let s = -6 + 5. Put 1, -6, s in descending order. 1, s, -6 Suppose -15*x = -10*x - 20. Sort -0.2, 1/4, -1, x in decreasing order. x, 1/4, -0.2, -1 Suppose s - 16 = -5*a, 5*s + 33 = -a - 7. Let k be 1 + (-2 - s/3). Let v = -7 - -12. Put 3, v, k in decreasing order. v, 3, k Let d = -58 - -284/5. Sort d, 4/3, -3, 3. -3, d, 4/3, 3 Let d be ((-3)/(-2))/((-11)/(-66)). Sort 2, -4, d, 1 in decreasing order. d, 2, 1, -4 Let q = 11 - 8. Let c = 5 - 7. Put 4, c, q in ascending order. c, q, 4 Let h(i) = -i**2 + 10*i + 1. Let b be h(10). Sort b, 2, 3. b, 2, 3 Let p be 6/(-4)*(-2 + 4). Let i(r) = -r**3 + 3*r**2 + 2*r + 3. Let n be i(4). Sort n, p, 1 in increasing order. n, p, 1 Let x = 10 - 13. Let d = 1.5 - -1.3. Let o = 3 - d. Sort -3/2, o, x in increasing order. x, -3/2, o Let b = 1.9 - 1.2. Let d = b + -0.3. Sort 0.1, -2, d in decreasing order. d, 0.1, -2 Suppose -2*c - 4*w = 10, 2*c = -3*w + 6*w + 25. Let p(x) = x**3 - 5*x**2 - 2. Let b be p(c). Put b, -5, 3 in descending order. 3, b, -5 Suppose -3*a + 3*u + 12 = 0, u + 8 = 2*a + 2*u. Put -4, a, 0 in decreasing order. a, 0, -4 Suppose 0*q + 16 = 2*q. Let o be (8/(-5))/((-10)/25). Let f = o - q. Put -5, f, -1 in ascending order. -5, f, -1 Let x = -1.5 + -1.5. Let q(l) = -3*l - 1. Let w be q(1). Sort 0.4, x, w in descending order. 0.4, x, w Let m be (-6)/4 + (-2)/4. Let q be (6/(-18))/((5/9)/(-5)). Suppose 9 = 5*r - 1. Sort m, q, r in ascending order. m, r, q Let l(b) = b**2 + 6*b + 4. Suppose g + 5*s = -11, -6*s = -g - 9*s - 9. Let u be l(g). Let r = u - 3.
{ "pile_set_name": "DM Mathematics" }
o - 10. Which is the nearest to k? (a) -1/4 (b) -2/3 (c) -1 a Let q(m) = -6*m**3 - m**2 - 2. Let j be q(-2). Suppose 2527*d = 2501*d + 52. Let g be -2 + 10/d + j/(-10). What is the nearest to g in 3, 5, -0.4? -0.4 Let q = 12811 + -12811. Which is the nearest to 0? (a) q (b) -9 (c) 0.6 a Let i = -5642/5 - -1129. Which is the nearest to i? (a) 2/3 (b) -0.4 (c) -1.7 (d) 2 a Let m = -93 + 647. Let k = m - 554. Let x = -78/11 - -568/77. What is the nearest to k in -1, -12, x? x Let i = -43 - -299/7. Let q = 1.28 - 0.08. Let u = -0.2 + q. What is the closest to i in -8, 2/7, u? 2/7 Let c(w) = -w**3 + 6*w**2 - w + 3. Let j be c(6). Let v be j/12 - (4/48 - 0). Let k = 235/72 + -26/9. What is the closest to -1/3 in k, v, 0.3? v Let i be 2/(-3) + 13/(-3). Let o = -14.1 + 54.1. Let y = -40 + o. What is the closest to y in 1/3, i, 0.1? 0.1 Let d = 128.5 + -129. Let p(n) = 3*n - 38. Let f be p(11). Let h = 0.1 + -1.1. Which is the nearest to h? (a) f (b) d (c) 7 b Let b = -20524/5 + 4104. What is the closest to 4 in -5, 5, -2, b? 5 Let s = -0.1239 + 0.1239. Which is the nearest to 4/13? (a) -3 (b) s (c) 5 (d) 4 b Let n = 59 - 44.6. Let g = n + -18.4. Which is the nearest to 2? (a) g (b) -0.3 (c) -2/5 b Suppose -29 + 79 - 39 = -11*w. Which is the closest to 0? (a) 7 (b) -5 (c) w (d) 136 c Let y be (-5 + -1)/((-3)/(-2)). Suppose 0 = 65*d - 66*d + 21. Let u be -18 + d + -3*1. Which is the closest to u? (a) -8 (b) y (c) 0.5 c Let f = 6682 + -6681.6. Which is the closest to -14? (a) 0.03 (b) 3 (c) -2 (d) f c Let g = 5 - 4.5. Let y = 1.1 - 1.223. Let w = -0.223 - y. What is the nearest to w in 0.3, 3/5, g? 0.3 Suppose 7*i + 31*i + 37*i = -750. Which is the nearest to 2? (a) -4 (b) i (c) -1/8 (d) -1 c Let l be (-6)/4*-199 + 60/120. Suppose -16*j + 789 + l = 0. Let t = 273/4 - j. Which is the closest to 0.2? (a) 0.4 (b) t (c) 0.3 b Let c be (-5)/25 - (-63)/165. Let u = 3182 + -3177. Let y be (-14)/(-12) + 2/(-4). What is the nearest to y in c, -0.03, u? c Let j = 2 - -2. Suppose -2*f = i + 1, 0 = -j*f + i - 3 + 4. Suppose 4*k = 6*k. Which is the nearest to k? (a) -2/9 (b) -5 (c) f c Let h = -12 + 28. Suppose 15*f - h*f = 2. Let p be (-10)/4*f + -10. Which is the nearest to 0.1? (a) -0.5 (b) p (c) -2/3 a Let r = -0.16899 - -3.16899. Which is the nearest to 1/8? (a) r (b) 3/4 (c) 0.057 c Let y = 1.377 - 0.377. Suppose -3*i - 2*q + 3 = 0, -q + 4 = 2*i + 1. Which is the closest to -1? (a) i (b) -11 (c) y c Let q be -18*((-110)/33)/(-5). Let s = 0.037 + -5.037. What is the closest to q in s, 4, 0.1? s Suppose 4*z = -200 + 220. Let q = -86/3 + 29. Let f = 18 + -18.5. Which is the closest to -3/2? (a) q (b) f (c) z b Let m be 1*4/(-80)*-4. Let x = -46 + 52. Suppose 2*v - x*v + 17 = k, 2*k = 5*v - 18. Which is the closest to 0? (a) v (b) 5 (c) m c Let l = 413473 - 5382903/13. Let h = l - -596. Let m = 0.0527 - -0.3473. Which is the closest to h? (a) m (b) -0.3 (c) 1/6 b Let c be 249/(-332) - 1/(-4). Let l = 20 - 35. Let w be (3/9)/(-1)*l. What is the closest to c in -2, -0.4, w? -0.4 Suppose -9 = -2*p + 3*k + 173, -k = 2. Let r be (-11)/(p/32) + (-30)/(-8). Let d = -1 + 4. What is the closest to -0.07 in 2, r, d? r Let j = -1271/7 + 181. Let p = -13/14 + j. Let l = 30.9 - 30.5. Which is the closest to -3/5? (a) p (b) l (c) -2/17 c Let h = 76.2 + -127. Let q = -51 - h. What is the nearest to 1 in q, 0.2, 0.16? 0.2 Let s be (-32)/(-24)*(-77)/16. Let u = s + 27/4. Let r = -2173 - -2177. What is the nearest to 1 in -1/5, u, r? u Let d(w) = -50*w + 449. Let o be d(9). Let p be -17*4/18 + 65 + -61. What is the nearest to o in 5/6, 0, p? 0 Let x = -67.19 + -0.81. Let p = x - -67. Let y = 71 - 499/7. What is the closest to y in p, -0.3, 2/7? -0.3 Suppose 41*h = 40*h + 2. Let k = -68 + 104. Let s = k + -36. Which is the nearest to s? (a) 0.07 (b) 4 (c) h a Suppose 2*h + 3*k = 20, 0 = 55*h - 59*h - 4*k + 32. Let v be (-3)/18*-3*(-16)/12. Which is the nearest to v? (a) 5/4 (b) 1/4 (c) -0.06 (d) h c Let s = -2229 + 430. What is the nearest to 2/9 in 3, -0.1, s? -0.1 Let r = 0.02747 - -4.97253. Which is the closest to 0? (a) r (b) 3 (c) 4/5 (d) -168 c Let y = 1656/7 - 236. Let j = -0.04714 - 9.95286. What is the nearest to -1 in -4/9, y, j? -4/9 Let k = 22.6 + -22.4. What is the closest to -2 in 1/3, -10.6, k, 2/5? k Let f = 8127 + -16253/2. Let z = -0.6 + 0.1. What is the closest to -1 in 1/4, z, 0.3, f? z Suppose 97*k - 275 = -193*k + 15. What is the nearest to 58 in -0.09, 1/2, k? k Let m = -163.03 - -157.03. Which is the nearest to 2/3? (a) -1/4 (b) m (c) -3/4 (d) -1 a Let k = 1484 + -1483. What is the closest to k in -5, 0.3, 3, 2? 0.3 Let t = -6.97 + 7. Let m = -5.03 + t. Let d = 300/59 + -777/118. What is the closest to 0.1 in d, m, 0.2? 0.2 Let k = -0.3 - -0.1. Let p(a) = a**2 - 5*a - 8. Let l be p(6). Let s be (48/15 + l)/((-3)/20). What is the closest to -0.1 in k, s, 2? k Let a be 35/75 + ((-36)/(-15))/(-4). Let s = 13 - -23. Let h = -33 + s. What is the nearest to h in a, 0.5, 0.1? 0.5 Let p = 14.7 + 18. Let n = -33 + p. Let t = -340 - -1361/4. Which is the closest to t? (a) n (b) -0.09 (c) -1 b Suppose 3*s - 8*j - 247 = -9*j, -2*j - 94 = -s. Let l = -167/2 + s. Which is the closest to 0.4? (a) l (b) 2/7 (c) 4/5 a Let d(p) = -p + 17. Let o be d(21). Let u(y) = -13 + 2 - 2 - 3*y. Let f be u(o). What is the nearest to 0 in 4, f, -5? f Let l be (190/1710)/((-2)/18). Suppose 1 + 3 = -4*i. What is the nearest to i in -0.06, l, -0.3, 1/2? l Let o = -6 + 8. Suppose 12*g = 15*g - 9. Let r = 0.62 + 4.38. What is the closest to o in r, -1/2, g? g Suppose -3*r + r + 14 = 5*q, 3 = -3*q - 5*r. Let j be (-147)/210 - 4/(-20). What is the nearest to 3 in q, 1, j? q Suppose 0 = -m + 4*g + 22 + 2, 0 = 2*g + 14. What is the nearest to -1/4 in m, -79, -0.4? -0.4 Let o be 4 - (186/3)/(240/(-33)). Let l = o + -105/8. Which is the closest to l? (a) -3 (b) -1 (c) 2/3 b Let u = 44807 - 134419/3. Which is the nearest to 2/3? (a) 1541 (b) u (c) -2/9 b Let i = 15 - 27. Let s = -16121 - -16106. Let l = i - s. Which is the closest to 0.4? (a) -6/7 (b) l (c) -4 a Let z = 645 + -642. Let y = 230/1463 + -4/77. Which is the nearest to y? (a) -2/11 (b) -0.2 (c) -2/5 (d) z a Let j = 507.33 + -507. Let k = -422.67 - -425. Let t = j - k. Which is the nearest to 0? (a) -3 (b) -2/15 (c) t b Let b = -4.95 - -5. Let h = b - 4.05. Let a = 19/14 + -181/154. What is the closest to a in 5, 2/11, h? 2/11 Let q = -2 + 4. Let i be (1 - -1)*1 - (1363/987 - (-40)/140). What is the closest to -1/4 in 2/7, i, -1/4, q? -1/4 Let x = 4.04043 + -0.04043. Which is the closest to -0.3? (a) x (b) 0.3 (c) 0.5 (d) 1 b Let l = -2577.5 + 2578. Which is the nearest to -2/87? (a) -1/8 (b) 0 (c) -0.4 (d) l b Suppose 5*i + 40 - 200 = 5*u, -31 = -i + 2*u. Suppose -37*d + 26*d - i = 0. Which is the closest to -6? (a) 0.3 (b) -1 (c) d c Let y = -135 - -134. What is the nearest to 16 in 30, 0.4, -5, y? 30 Suppose 0 = 5*d - 5 - 20. Let h = 0 - -0.1. Let u = 0.056647 + -1.056647. Which is the closest to u? (a) 4 (b) h (c) d b Let w be 8 + 0 + 12/(-4). Suppose 4*v - 1 = w*v. Let h = 189 - 187. What is the closest to v in -1/3, 1, h? -1/3 Let n be 16*21/(-420)*(-55)/(-2). Which is the nearest to -1/2? (a) n (b) 3 (c) 1.7 c Let k = 241 - 136. Let r = k + -100. What is the nearest to 2/3 in -2/53, -0.3, r? -2/53 Let s = -2299.3 - -2404. Let i = s + -105. Let g = 0.39 + 0.01. Which is the nearest to -0.03? (a) i (b) g (c) -1 a Suppose -113*s = 32*s + 1015. Which is the closest to -0.1? (a) -8 (b) s (c) -2.9 c Let z = 29 + -29.5. Let m = -11.7 - -12. Let l = -1.7 - m. Which is the closest to 0.2? (a) 2/5 (b) l (c) z a Let f(i) = -2*i + 6. Let g be f(5). Suppose 557*s + 4*x + 66 = 555*s, 13 = 3*s - 2*x. Which is the closest to g? (a) 1 (b) 3/7 (c) -0.1 (d) s d Suppose -3 = 14*k + 81. Let w be (-34)/(-8) - k/24*3. Suppose -5*y - 1 = -f + w, -5 = -4*f + y. Which is the nearest to 1? (a) f (b) 0.2 (c) 5 a Let f = 1084.93 + -1085. Let r = -0.01 + 0.21. What is the closest to f in -0.1, 2, r? -0.1 Let w be (1/45)/((-455)/(-45) + -10). What is the closest to 2/3 in w, 2, 1/4, 11? 1/4 Suppose 21 - 161 = 7*y. Let f be y/20*(1
{ "pile_set_name": "DM Mathematics" }
d**2 + 712*d + 32 = 0. -2, -1, -2/41, 4 Factor 2*n**2/21 - 2*n/3 - 96/7. 2*(n - 16)*(n + 9)/21 Suppose -4*m**4 - 124*m**3 - 1092*m**2 - 3620*m - 3800 = 0. What is m? -19, -5, -2 Determine r so that 4*r**4/7 + 40*r**3/7 - 100*r**2/7 - 40*r/7 + 96/7 = 0. -12, -1, 1, 2 Suppose 3*p**4/8 - 21*p**3/4 + 195*p**2/8 - 93*p/2 + 63/2 = 0. Calculate p. 2, 3, 7 Determine j so that -14*j**4/9 + 178*j**3/9 - 368*j**2/9 - 40*j/3 = 0. -2/7, 0, 3, 10 Factor -j**4 + 33*j**3 - 242*j**2. -j**2*(j - 22)*(j - 11) Determine b, given that -18*b**3/17 - 14*b**2/17 + 40*b/17 - 8/17 = 0. -2, 2/9, 1 Solve 42*r**5/17 + 1090*r**4/17 + 3780*r**3/17 + 2840*r**2/17 + 528*r/17 = 0. -22, -3, -2/3, -2/7, 0 Let -4*c**5/3 + 8*c**4/3 + 64*c**3/3 - 8*c**2/3 - 20*c = 0. What is c? -3, -1, 0, 1, 5 Solve 2*k**2/11 + 12*k/11 - 10 = 0. -11, 5 Factor 2*k**3/7 - 2*k**2/7. 2*k**2*(k - 1)/7 Factor 2*c**4 - 42*c**3 + 250*c**2 - 582*c + 468. 2*(c - 13)*(c - 3)**2*(c - 2) Find v such that v**2/7 + 15*v/7 + 36/7 = 0. -12, -3 Let -2*d**3 - 58*d**2 - 110*d - 54 = 0. What is d? -27, -1 Factor -i**3 + 37*i**2 - 239*i + 203. -(i - 29)*(i - 7)*(i - 1) Solve 2*m**3/3 + 86*m**2/3 - 178*m/3 + 30 = 0. -45, 1 Factor 3*d**3/5 + 66*d**2/5. 3*d**2*(d + 22)/5 Factor d**2/3 + 145*d + 866/3. (d + 2)*(d + 433)/3 Factor 2*j**2/21 - 22*j/21. 2*j*(j - 11)/21 Factor 7*w**3/3 + 16*w**2/3 + 11*w/3 + 2/3. (w + 1)**2*(7*w + 2)/3 Factor -4*z**3/7 - 652*z**2/7 + 4*z/7 + 652/7. -4*(z - 1)*(z + 1)*(z + 163)/7 Solve 3*m**5 + 54*m**4 - 195*m**3 - 90*m**2 + 732*m - 504 = 0 for m. -21, -2, 1, 2 Let -2*k**2/19 + 556*k/19 - 38642/19 = 0. What is k? 139 Factor z**3/3 + 29*z**2/3 + 104*z/3 + 100/3. (z + 2)**2*(z + 25)/3 What is r in r**3 + 2*r**2 - 11*r - 12 = 0? -4, -1, 3 Factor -3*a**4 + 3*a**3 + 21*a**2 - 39*a + 18. -3*(a - 2)*(a - 1)**2*(a + 3) Factor 189*q**2 - 2274*q + 72. 3*(q - 12)*(63*q - 2) Suppose 3*s**2 - 627*s + 624 = 0. What is s? 1, 208 Factor d**4/2 - 37*d**3 + 2029*d**2/2 - 12210*d + 54450. (d - 22)**2*(d - 15)**2/2 Factor 40*l**4 - 175*l**3 + 180*l**2 - 45*l. 5*l*(l - 3)*(l - 1)*(8*l - 3) Factor -4*t**4 + 88*t**3 - 272*t**2 - 2392*t - 2028. -4*(t - 13)**2*(t + 1)*(t + 3) Factor -8*o**5 + 50*o**4 - 84*o**3 + 18*o**2. -2*o**2*(o - 3)**2*(4*o - 1) Determine v so that -2*v**5/5 + 48*v**4/5 - 82*v**3 + 1428*v**2/5 - 1568*v/5 = 0. 0, 2, 7, 8 Determine q so that 2*q**4 + 8*q**3 - 10*q**2 = 0. -5, 0, 1 Factor 45*z**5 - 140*z**4 + 150*z**3 - 60*z**2 + 5*z. 5*z*(z - 1)**3*(9*z - 1) Factor -r**5 + 111*r**4 + 808*r**3 + 2104*r**2 + 2352*r + 944. -(r - 118)*(r + 1)*(r + 2)**3 Factor 2*v**2/3 + 6064*v/3 + 4596512/3. 2*(v + 1516)**2/3 Factor 3*w**3 + 291*w**2 + 9288*w + 97200. 3*(w + 25)*(w + 36)**2 Solve -3*b**4/4 - 261*b**3/2 + 1587*b**2/4 - 531*b/2 = 0. -177, 0, 1, 2 Factor -2*m**2/5 - 424*m/5 - 168. -2*(m + 2)*(m + 210)/5 Solve 4*f**4/5 + 732*f**3/5 + 144*f**2 - 1456*f/5 = 0. -182, -2, 0, 1 Factor -p**3/3 - 106*p**2/3 - 703*p/3 - 330. -(p + 2)*(p + 5)*(p + 99)/3 Factor -2*h**2/3 + 1030*h/3 + 1036. -2*(h - 518)*(h + 3)/3 Factor 9*w**3 + 492*w**2 - 171*w - 330. 3*(w - 1)*(w + 55)*(3*w + 2) Factor -2*m**3/3 - 8*m**2/3 - 8*m/3. -2*m*(m + 2)**2/3 Solve j**3/4 + 189*j**2/4 + 93*j/2 - 94 = 0. -188, -2, 1 Solve 5*w**3 + 190*w**2 + 825*w = 0. -33, -5, 0 Factor 4*f**2 + 616*f - 5184. 4*(f - 8)*(f + 162) Factor 15*k**3/2 - 642*k**2 + 27219*k/2 + 5547. 3*(k - 43)**2*(5*k + 2)/2 Suppose 3*f**5/2 + 57*f**4 + 111*f**3/2 = 0. Calculate f. -37, -1, 0 Let 4*w**2 + 12*w + 5 = 0. What is w? -5/2, -1/2 Factor a**2 + 17*a - 60. (a - 3)*(a + 20) What is n in -n**5 + 7*n**4 - 10*n**3 - 2*n**2 + 11*n - 5 = 0? -1, 1, 5 Find n, given that 2*n**5/5 + 616*n**4/5 - 498*n**3 + 376*n**2 + 2488*n/5 - 2496/5 = 0. -312, -1, 1, 2 Factor -b**3/2 - 9*b**2 - 54*b - 108. -(b + 6)**3/2 Factor z**4/4 - z**3/4 - z**2/4 + z/4. z*(z - 1)**2*(z + 1)/4 Determine j, given that 3*j**3/5 - 18*j**2/5 = 0. 0, 6 Factor c**2 + 822*c + 1640. (c + 2)*(c + 820) Let 5*y**3 - 15*y**2 - 80*y - 60 = 0. Calculate y. -2, -1, 6 Factor -y**5 - 4*y**4 - 3*y**3 + 4*y**2 + 4*y. -y*(y - 1)*(y + 1)*(y + 2)**2 Find z such that -4*z**2 - 7584*z - 3594816 = 0. -948 Suppose 2*o**5 - 72*o**4 + 698*o**3 - 1188*o**2 + 560*o = 0. Calculate o. 0, 1, 14, 20 Factor 3*l**4 + 984*l**3 - 11115*l**2 + 24516*l + 36612. 3*(l - 6)**2*(l + 1)*(l + 339) Determine j, given that -2*j**4/3 + 6*j**3 - 4*j**2/3 - 32*j = 0. -2, 0, 3, 8 Solve 2*k**2/13 + 1088*k/13 - 168 = 0. -546, 2 Factor 40*d**3 + 65*d**2 + 25*d. 5*d*(d + 1)*(8*d + 5) Factor 4*l**3 + 1296*l**2 + 5136*l + 5120. 4*(l + 2)**2*(l + 320) Factor 3*o**4 - 27*o**3 + 45*o**2 - 21*o. 3*o*(o - 7)*(o - 1)**2 Suppose -2*x**2/9 - 4*x/3 + 14/9 = 0. Calculate x. -7, 1 Determine i, given that -2*i**4 - i**3 + 2*i**2 + i = 0. -1, -1/2, 0, 1 Solve 100*d**4 - 7080*d**3 + 128116*d**2 - 99120*d + 19600 = 0. 2/5, 35 Find r, given that -105*r**5 + 65*r**4 + 95*r**3 - 65*r**2 + 10*r = 0. -1, 0, 2/7, 1/3, 1 Find d, given that -16*d**3/11 + 232*d**2/11 - 113*d/11 + 14/11 = 0. 1/4, 14 Let 4*n**2/3 + 688*n/3 + 896 = 0. Calculate n. -168, -4 Let 22*k**4/19 + 1118*k**3/19 + 15636*k**2/19 + 35136*k/19 - 6912/19 = 0. What is k? -24, -3, 2/11 Factor -2*p**2 - 9276*p - 10755522. -2*(p + 2319)**2 Factor 5*h**5/3 - 95*h**4/3 + 710*h**3/3 - 870*h**2 + 1575*h - 1125. 5*(h - 5)**2*(h - 3)**3/3 Factor -9*x**3 - 78*x**2 - 111*x - 42. -3*(x + 1)*(x + 7)*(3*x + 2) Suppose -3*c**2/4 + 1725*c/4 - 861/2 = 0. Calculate c. 1, 574 Factor -3*d**5 + 42*d**4 - 216*d**3 + 480*d**2 - 384*d. -3*d*(d - 4)**3*(d - 2) Factor 1225*z**2 - 35*z + 1/4. (70*z - 1)**2/4 Solve -4*c**3/5 - 4*c**2/5 + 48*c/5 = 0. -4, 0, 3 Factor -2*b**3 + 20*b**2 + 46*b + 24. -2*(b - 12)*(b + 1)**2 Factor 2*p**5/9 + 56*p**4/9 + 194*p**3/9 - 2668*p**2/9 + 6392*p/9 - 4624/9. 2*(p - 2)**3*(p + 17)**2/9 Determine q, given that -2*q**4 - 24*q**3 - 20*q**2 + 24*q + 22 = 0. -11, -1, 1 What is p in -2*p**2 + 2004*p - 2002 = 0? 1, 1001 Suppose 2*z**2/3 + 48*z + 864 = 0. What is z? -36 Factor -n**2/3 + 11*n/3 + 14. -(n - 14)*(n + 3)/3 Factor t**2/8 + 41*t/8 - 33/2. (t - 3)*(t + 44)/8 Factor i**4/5 - 2*i**3/5 - 27*i**2/5 - 52*i/5 - 28/5. (i - 7)*(i + 1)*(i + 2)**2/5 Factor p**3/2 - 11*p**2 - 233*p/2 - 105. (p - 30)*(p + 1)*(p + 7)/2 Factor 5*l**2 - 30*l - 80. 5*(l - 8)*(l + 2) Let -9*a**3 + 1419*a**2 - 943*a + 157 = 0. Calculate a. 1/3, 157 Factor -231*u**2 + 6*u. -3*u*(77*u - 2) Suppose 3*x**3/2 - 75*x**2/2 + 141*x/2 - 69/2 = 0. Calculate x. 1, 23 Determine m, given that -6*m**5/5 + 56*m**4/5 + 112*m**3/5 - 1548*m**2/5 + 406*m/5 + 196 = 0. -5, -2/3, 1, 7 Let -3*o**4/7 - 2*o**3/7 = 0. What is o? -2/3, 0 Solve 5*s**3 + 110*s**2 - 795*s + 1260 = 0. -28, 3 Determine j so that -2*j**4 - 8*j**3 - 12*j**2 - 8*j - 2 = 0. -1 Factor -g**4 - 30*g**3 + 204*g**2 + 13294*g + 103173. -(g - 21)*(g + 17)**3 Factor 5*q**3 - 585*q**2. 5*q**2*(q - 117) Solve -5*c**3 - 75*c**2 - 180*c = 0 for c. -12, -3, 0 Let 242*x**5/7 - 54120*x**4/7 + 3069426*x**3/7 - 4841836*x**2/7 - 2066376*x/7 - 197136/7 = 0. What is x? -2/11, 2, 111 Factor -22*t**2 + 6032*t - 1096. -2*(t - 274)*(11*t - 2) Suppose 2*g**2/9 + 10*g/9 - 56/3 = 0. What is g? -12, 7 Let 5*w**5/3 - 32*w**4/3 + 37*w**3/3 - 10*w**2/3 = 0. What is w? 0, 2/5, 1, 5 Let z**4 + 6*z**3 - z**2 - 30*z = 0. Calculate z. -5, -3, 0, 2 Suppose 5*w**3 + 380*w**2 - 395*w - 770 = 0. Calculate w. -77, -1, 2 Factor -5*h**3 - 80*h**2 - 315*h. -5*h*(h + 7)*(h + 9) Factor -3*w**4 - 15*w**3 + 39*w**2 - 21*w. -3*w*(w - 1)**2*(w + 7) Solve -45*u**4 - 84*u**3 + 690*u**2 - 84*u - 45 = 0. -5, -1/5, 1/3, 3 Factor -28*h**2 - 16080*h - 4592. -4*(h + 574)*(7*h + 2) Factor -4*u**2 - 884*u - 5992. -4*(u + 7)*(u + 214) Determine k, given that -14*k**2 - 204*k - 112 = 0. -14, -4/7 Determine t, given that t**5 - 5*t**4 - 174*t**3 - 968*t**2 - 1952*t - 1152 = 0. -4, -1, 18 Find n such that 5*n**4 + 1075*n**3 - 15*n**2 - 3215*n + 2150 = 0. -215, -2, 1 Solve -2*w**5/5 - 6*w**4/5 + 12*w**3/5 + 16*w**2/5 = 0. -4, -1, 0, 2 Factor 3*y**4/2 - 423*y**3/2 - 429*y**2. 3*y**2*(y - 143)*(y + 2)/2 What is j in -2*j**4 - 188*j**3/3 - 838*j**2/3 - 136*j/3 + 520/3 = 0? -26, -5, -1, 2/3 Determine d, given that 3*d**3 - 30*d**2 + 69*d - 42 = 0. 1, 2, 7 Suppose -5*j**5/4 + 395*j**4/4 - 7595*j**3/4 - 8395*j**2/4 + 1900*j + 2000 = 0. Calculate j. -1, 1, 40 Solve 5*d**2/
{ "pile_set_name": "DM Mathematics" }
divided by c. 1 Suppose 10 = 5*v, -4*k - 5*v + 4*v = -2. Suppose -97 = -3*g - 2*q, g - 4*g + 2*q + 89 = k. What is the remainder when g is divided by 11? 9 Suppose 0 = -2*g - 4*x + 280, -g - x = g - 295. Calculate the remainder when 9 is divided by 2/(-13) + g/(-39) - -9. 4 What is the remainder when 4 - (-28)/(-70)*(0 - 70) is divided by 19? 13 Suppose 0 = 2*w - 0*w + 3*y + 13, 5*y + 21 = -4*w. What is the remainder when 28 is divided by w? 0 Suppose 6*u = u - 40. Let a = u + 11. Suppose 0*w - 8 = -4*l + 2*w, -5*w = -5*l + 5. Calculate the remainder when l is divided by a. 0 Suppose 6 = 8*w - 18. Suppose 2*t = 2*h - 52, 3*t = -w*h + 8*t + 74. Calculate the remainder when h is divided by 10. 8 Let a(s) = s**2 + 6*s + 6. Let b be a(-4). Suppose 4*q - v - 87 = 0, 5*q - 3*v - 124 = -24. What is the remainder when 1393/21 + b/6 is divided by q? 20 Suppose -z + 3*h = -91, 7*z - 309 = 3*z + h. What is the remainder when -7 + 3 + -3 + z is divided by 18? 15 Let f = -68 + 74. What is the remainder when 12 is divided by f? 0 Let o(w) = -8*w - 3. Let n = 59 - 51. Suppose -16 - n = -i. What is the remainder when i is divided by o(-2)? 11 Suppose -5*n - 1165 = -10*n - 2*o, -3*o = -4*n + 955. Calculate the remainder when n is divided by 78. 1 Let o = -243 - -266. What is the remainder when 65 is divided by o? 19 Suppose -20 = 4*j, -16 = w + 4*j - 41. What is the remainder when w is divided by 27? 18 Suppose -g + d = -2, 10 = 2*g - 0*d + d. Suppose 32 = 3*u - g. What is the remainder when 142 is divided by u? 10 Let l = -129 + 221. What is the remainder when l is divided by 19? 16 Let m(c) = 0 + 2*c**2 - 5*c**2 + 0*c**2 + 7*c - 3. Let a be m(5). Let v = a - -84. What is the remainder when v is divided by 11? 8 Let m be 6 - 1 - 3/1. Suppose -3*h - m*g = -100, -2*h - 2*g = -0*h - 64. Calculate the remainder when 69 is divided by h. 33 Let r = -770 - -808. What is the remainder when 74 is divided by r? 36 Let w = 650 + -452. Calculate the remainder when w is divided by 41. 34 Suppose b = 7 + 22. Suppose -5*u = -u - 336. What is the remainder when u is divided by b? 26 Let x be 8/(-14) + 21219/77. Suppose 5*f = 2*p - 93, 0*p - 4*f - x = -5*p. Let a = 37 - 22. Calculate the remainder when p is divided by a. 14 Calculate the remainder when 70 is divided by -1 + (30/6 - -2). 4 Let p(j) = 6*j**3 + 113*j**2 - 21*j + 8. What is the remainder when p(-19) is divided by 8? 6 Let h(r) = 5*r**3 + 21*r**2 - 3*r. What is the remainder when h(4) is divided by 72? 68 Suppose -2*l + g = -7, -4*l + 11 + 2 = -g. Suppose -h + 3*a - l = 0, 2*h - 14 = -a - 3*a. What is the remainder when 21 is divided by h? 0 Calculate the remainder when 970 is divided by -1 - (-28)/16 - 897/(-52). 16 Let t(o) = -o**3 - 9*o**2 - 28*o - 11. Calculate the remainder when 193 is divided by t(-6). 46 Let x(k) = -k**3 - 16*k**2 - 7*k - 6. Suppose -5*y = -10*y + 155. Let s = y + -4. What is the remainder when x(-16) is divided by s? 25 Suppose -2*p - p + 2*a + 34 = 0, -2*a - 2 = p. Let c = -17 + 25. Suppose -4*s = -108 - c. What is the remainder when s is divided by p? 5 Suppose q + 3 = -2. Let t be 6/(-4)*10/(-15). Let u = t - q. Calculate the remainder when 23 is divided by u. 5 Let t(f) = f**3 + 3*f**2 - 3*f + 2. Let a = 92 + -60. Calculate the remainder when a is divided by t(-3). 10 Let q = 6 - 5. Let s be (-6)/(q - (-20)/(-8)). Calculate the remainder when (s + -6)*(-42)/4 is divided by 6. 3 Let p(x) = -x**2 + 13*x + 19. What is the remainder when 2/4 - 34/(-4) is divided by p(14)? 4 Suppose -2*q + 7*q - 345 = 0. Let g = q + -60. Calculate the remainder when 15 is divided by g. 6 Let g(q) = -11*q + 36. Calculate the remainder when 101 is divided by g(0). 29 Let v(x) = -134*x - 1. What is the remainder when v(-1) is divided by 2/((-602)/(-119) + (1 - 6))? 31 Suppose -n = -j - 6*n + 36, 39 = 2*j - n. Calculate the remainder when 40 is divided by j. 19 Let b(v) = v**2 + 4*v. Let u be b(-9). Let l = 30 + u. What is the remainder when l is divided by 26? 23 Suppose 2*m + 4*s = 464, -3*m - 2*m + 5*s + 1160 = 0. What is the remainder when m is divided by 59? 55 Let m(u) = -2*u + 5 - 4 + u**2 + 3*u**3 + 1. What is the remainder when 7 is divided by m(1)? 3 Suppose -8*v - 411 = -3539. Calculate the remainder when v is divided by 28. 27 Suppose -198 = -11*s + 44. Let u = s - -56. Calculate the remainder when u is divided by 20. 18 Suppose -5*z = y - 20, -4*z - z + y = -20. Let m be 2/((-45)/(-12) + -4). What is the remainder when 17 is divided by m/(-1) - (z + -1)? 2 Let c(y) = -y - 5*y + 1 + 3 - y. Calculate the remainder when 35 is divided by c(-2). 17 Suppose 2*t = -3*f + 52, -112 = -3*t - 3*f + 7*f. What is the remainder when 254 is divided by t? 30 Suppose c = -c + 40. Suppose -30*l - 444 + 2754 = 0. Calculate the remainder when l is divided by c. 17 Suppose u - 5*z = -3, -17 = -3*u - 5*z + 34. Suppose 0 = c - 1, -5*f + 24 + 20 = 4*c. What is the remainder when u is divided by f? 4 Suppose -2*k + 9 = -5*k, 0 = -3*z - k + 114. Suppose 14 = 3*j + 4*j. Suppose 9 = -j*p + z. What is the remainder when 57 is divided by p? 12 Let u(z) = z**2 - 13*z - 16. Let l be u(15). Let c = l + 5. Calculate the remainder when c is divided by 7. 5 Let s = -114 - -228. Calculate the remainder when (s/18)/((-2)/(-6)) is divided by 5. 4 Let s = -905 + 918. What is the remainder when 72 is divided by s? 7 Let b = -58 - -58. Suppose 0 = -2*x - 6, x = k - 10 - b. What is the remainder when 47 is divided by k? 5 Suppose 0 = -4*q + 4*p + 176, 2*q + 5*p - 9 = 51. Suppose -25*v + 24*v + 7 = 0. Calculate the remainder when q is divided by v. 5 Let o(q) = q**2 - 8*q + 8. Let m be o(7). Suppose m = -5*h + 31. Let k(z) = 2*z + 13. Calculate the remainder when k(2) is divided by h. 5 Suppose -3*i = 9, 6 = y - i - 3. What is the remainder when 6 is divided by y? 0 Let n(l) = l**2 + 14*l - 213. Calculate the remainder when n(20) is divided by 89. 22 Suppose -p = 4*p + 5*q - 10, -q - 4 = 4*p. Let t = 89 + -48. Calculate the remainder when t is divided by (p/3)/((-10)/165). 8 What is the remainder when 150 is divided by 5/(15/(-4))*(-33)/2? 18 Let s(a) = -7 + 3*a - a**2 + 6 + 0*a**2 + 7*a - 8. Let u = 17 + -10. Calculate the remainder when 58 is divided by s(u). 10 What is the remainder when 102 is divided by ((99/2)/(-11))/(2/(-24))? 48 Suppose 5*m = -5*m + 30. Suppose -5*k = 5*i - 65, -5*k + 72 = m*i + 23. Calculate the remainder when i is divided by 4. 0 Let n(a) = -a**3 + 7*a**2 + 8*a + 11. Let l = 577 + -1597. Calculate the remainder when n(8) is divided by 4/(-14) + l/(-140). 4 Suppose 0 = -29*x + 5*x + 3048. What is the remainder when x is divided by 8? 7 Let z(i) = i**2 + 2*i + 49. What is the remainder when z(-11) is divided by 31? 24 Suppose 2 = -5*p + 3*p. Calculate the remainder when 2 - p - (-57)/2*2 is divided by 16. 12 What is the remainder when 139 is divided by 5*(-18)/30*-13? 22 Let m = 63 + -46. Suppose -m*r = -23*r + 114. Calculate the remainder when 55 is divided by r. 17 Suppose 2*x = 3 - 5. What is the remainder when (2 + x + -2)*-33 is divided by 17? 16 Suppose -4 = -o, -3*i + 5*o = 9*o - 1270. Calculate the remainder when i is divided by 20. 18 Suppose -3*r + 24 = -6. Let k(h) = -h**3 + 6*h**2 + 2*h + 12. Calculate the remainder when k(5) is divided by r. 7 Let d be 10/35 + 523/7. Let h = d - 62. What is the remainder when 35 is divided by h? 9 Suppose -12 + 45 = -3*l. Let f be 82/4 - 9/(-6). Let q = l + f. What is the remainder when 30 is divided by q? 8 Let q(s) = s**2 - 3*s + 5. Let f be q(-8). Suppose 69 = 3*p - f. Suppose 6 = 5*o - p. What is the remainder when o is divided by 5? 2 What is the remainder when 211 is divided by (-3)/2*7172/(-489)? 13 Let m = 459 - 437. Calculate the remainder when 41 is divided by m. 19 Suppose 3*l + j + 207 = 0, 3*l + 5*j - 7*j + 198 = 0. Calculate the remainder when 121 is divided by (l/102)/(2/(-93)). 28 Let r(s) = 9*s - 67. Suppose -38 = -3*q + 4. Calculate the remainder when r(12) is divided by q. 13 Let j = 29 - 14. What is the remainder when 4/(-18) + 16764/594 is divided by j? 13 Suppose -2992 = -38*b - 6*b. What is the remainder when b is divided by 5? 3 What is the remainder when ((-8)/(-4) - -34) + -8 is divided by 12? 4 Suppose 3*v - 3*q - 45 = 0, 3*v - 30 = v - q
{ "pile_set_name": "DM Mathematics" }
)/(h/(-184892)) a composite number? False Let n(g) be the third derivative of g**6/30 - g**5/5 + 5*g**4/6 + g**3/2 - 2*g**2. Let z = 2629 + -2620. Is n(z) composite? True Is (-1 - (-2040732)/8) + (-73)/(-146) composite? True Let o = 61 - 64. Let g(y) = 6*y + 16. Let d be g(o). Is 4/d*(-531)/18 composite? False Suppose 8*c + c - 68949 = 0. Is c a composite number? True Let a(g) = 13*g**3 + 3*g**2 - 3*g + 2. Let f be a(3). Suppose 64 = -w - 0*w. Let y = w + f. Is y composite? False Suppose -2 = -83*b + 84*b. Let h(p) be the third derivative of 73*p**5/20 + p**4/12 - p**3/2 - 16*p**2. Is h(b) prime? False Suppose -4*v = -3*v + 3*j - 23154, 3*v - 69392 = 5*j. Suppose -7689 = -w - 5*n, -3*w - 28*n + 31*n + v = 0. Is w composite? True Let p(v) = 224*v**3 - 6*v**2 + 13*v - 18. Let n be p(3). Suppose 0 = 10*q - 9415 - n. Is q composite? False Let j(a) = -18545*a - 6. Let y(f) = -f - 1. Let h(q) = 2*j(q) - 4*y(q). Is h(-1) a composite number? True Suppose q - 16*q = 193560. Let y = -8799 - q. Is y a prime number? False Let u be (-1582)/56 + (-6)/8 + 1. Let q be (u/(-2))/(-7)*(-2)/(-4). Let c(j) = 793*j**2 + 2*j. Is c(q) prime? False Let t be ((-20)/(-6) - 2)/(15/45). Suppose -t*n + 15834 = -3002. Is n prime? False Let z = 239 + -235. Suppose -z*x = -4*c - 14444, c = -5*x + 2*c + 18039. Is x prime? True Let i(s) = 30*s**2 - 23*s + 90. Let g be i(3). Let y(b) = b**2 + b. Let w be y(-1). Suppose -32*c + 31*c + g = w. Is c a composite number? True Let t be ((-5)/1 - -5) + -2. Is (3 - -40251)/2 + (-2 - t) prime? False Let f = -39165 + 95558. Is f composite? False Suppose 73*b - 69*b = 12, 53843 = 2*f - 5*b. Is f prime? False Suppose -2295*b + 7257020 = -2275*b. Is b a prime number? True Let y = 67 + -58. Suppose 3*x - 3644 = -i, -10*x = -y*x + i - 1218. Is x prime? True Is (-59439360)/(-69) - (1 + -10) composite? True Suppose -2*u + 337899 = -5*f, 656606 + 188059 = 5*u + 4*f. Is u prime? True Let p be -7*(145/35 + -4). Let v(o) = -2630*o**3 + 3*o**2 + 4*o + 2. Is v(p) a prime number? False Suppose 14 = -6*b + 29 + 15. Let o be 554 - (1 - (-2)/(-2)). Suppose o = b*a - 1701. Is a composite? True Suppose 55 = 17*h + 4. Is (9/12)/h*1804 composite? True Suppose n - 654211 = -g, -3*n - 8*g + 1038015 = -924628. Is n a prime number? True Is ((-2)/16)/((-21)/504) - 1012*-100 composite? False Suppose 71 = 9*b + 26. Suppose b*g - 9156 - 20029 = 0. Is g a prime number? False Let c(z) be the third derivative of z**6/60 - 17*z**5/15 + 7*z**4/24 + 14*z**3/3 + 25*z**2 + 3*z. Is c(37) composite? False Is ((-12)/6 - (-296 - -2))*(-320779)/(-388) a prime number? False Let d(k) = 209*k**2 - 7*k - 3. Let g(l) = -2*l + 22. Let a(t) = t + 13. Let b be a(-4). Let v be g(b). Is d(v) composite? False Let s(g) = -8*g**3 + 4*g**2 - 3*g - 4. Let i(u) = -9*u**3 + 4*u**2 - 4*u - 3. Let c(n) = -5*i(n) + 6*s(n). Let l be c(3). Is (-39088)/l - 4/(-6) composite? True Suppose -194*f - 3528 = -202*f. Let o = 3 + -5. Is (f - o) + 6/2 a prime number? False Let t(g) = -8*g + 39. Let x be t(4). Let w(v) = -48*v + 17. Let d(o) = o. Let u(a) = 4*d(a) - w(a). Is u(x) a composite number? False Let j be 3555/75 - 5 - (-2)/(-5). Suppose -j*r + 23*r + 6251 = 0. Is r composite? True Suppose -2*b - 2 = 4*t, -3 = 5*b - 2*b. Suppose s - 4*g - 137 = t, 2*g + 0*g = 2. Suppose s = -y + 548. Is y composite? True Suppose 14936 = -10*i + 14*i. Suppose -10*t + 16611 = -3*t. Let d = i - t. Is d composite? False Suppose 0*h + 4*h = 4*n - 392428, 5*n = 2*h + 490517. Is n composite? False Let j = -511974 + 1296103. Is j a prime number? True Suppose -4*h = -5*k + 15420, 0 = -4*k - 4*h + 12619 - 319. Let q = 5199 - k. Is q a composite number? True Let v = 88 + -88. Suppose -12*y + 4*y = v. Suppose y = 5*n - 56 - 14. Is n a composite number? True Let k = -164 + 181. Suppose k*c = 12*c + 5185. Is c composite? True Suppose 5*d = 2*i - 50, -5*d + 178 = 3*i + 53. Let y be 355/2*56/i. Suppose -7*m + y + 38 = 0. Is m prime? False Let a = 226 + -208. Is (-55)/66 - (-146643)/a composite? True Let o(k) = -k**2 + 68*k + 841. Is o(62) prime? True Suppose -m - 650604 = -5*u + 1509973, 4*m = 3*u - 1296353. Is u a composite number? True Let q(t) = t**3 - 5*t**2 - 27*t + 29. Let b be q(8). Let u(l) = -l**3 + 6*l**2 + 3. Let y be u(6). Suppose f + 3*f - 5377 = -b*d, -y*f = -9. Is d composite? True Let t(q) = -18*q**2 - 2*q - 45. Let j(c) = 19*c**2 + c + 47. Let x(l) = -4*j(l) - 5*t(l). Is x(21) a composite number? False Suppose 2*l = -4, 3*k - 8 = -0*l + 4*l. Suppose 14*h - 182610 - 260252 = k. Is h a composite number? True Let w = 85 + -165. Let v be 4/(-18) + w/(-36). Is (-2110)/(-15)*(-3)/v*-1 prime? True Suppose 0 = -8*y + 16136 + 76272. Is y a prime number? True Suppose -4*s + 10 = -2*s, 3*f - 4*s = -5. Suppose -f*m - 67004 = j, -3*m + 0*j + 3*j - 40206 = 0. Is (-1)/(-4 + 0) - m/12 prime? True Let z = 192 + -176. Let s(h) = h**3 - 12*h**2 - 25*h + 25. Is s(z) composite? True Is (102715830/945)/(((-12)/46)/(-3)) a prime number? False Suppose 6496 = 21*d + 7*d. Suppose -d*q + 228*q + 10052 = 0. Is q a prime number? False Let d = -103 - -106. Suppose -d*q + 5*h = 290, 202 = -2*q - 0*h - h. Let x = 354 - q. Is x a composite number? True Let y be (-296034)/21 + 96/(-84). Let z = -4421 - y. Is z prime? True Let p = 27282 - -26663. Is p a prime number? False Let o(g) = 8*g**3 + 9*g**2 + 5*g - 37. Is o(5) a composite number? False Suppose -a - 321 = -325. Is a*(-3)/24*-1402 composite? False Suppose -6 = -2*z - 298. Let o = 161 - z. Is o composite? False Let r(b) = -2*b**3 - 125*b**2 + 50*b + 3663. Is r(-92) composite? False Let v = 47453 - 27124. Is v prime? False Let n(k) = -25*k + 10. Let i be n(-2). Suppose 59*g = i*g - 11281. Is g composite? True Let k(d) = 69*d**3 - 41*d**2 - 4*d + 289. Is k(21) a prime number? True Let m(t) = -t**2 + 14*t - 37. Let s be m(7). Let j be s/(-102) - (-6)/51. Suppose 5*y - 2750 - 975 = j. Is y a composite number? True Let k be (16/(-48))/((-1)/12). Suppose -2*i + k*n + 3398 = 0, -8*i + 5*i - 4*n = -5067. Is i a composite number? False Let j(w) = -w**3 + 5*w**2 + 3*w - 3. Let r be j(3). Let v(a) = 2*a**2 - 32*a - 5. Is v(r) a prime number? True Let l be 3/3 - 0 - -57. Suppose -6 - 13 = -3*q + 2*j, -2*q + 3*j + 21 = 0. Suppose -q*h + l = -143. Is h prime? True Let s(y) = -5*y**3 + 6*y**2 + 15*y - 11. Let b = -13 + 7. Let o(x) = -9*x**3 + 13*x**2 + 30*x - 22. Let d(g) = b*o(g) + 11*s(g). Is d(-12) a prime number? True Suppose 2*a = -18*s + 14*s + 225158, 4*a - s = 450307. Is a composite? False Suppose 237*p - 13*p - 19978336 = 0. Is p prime? True Let u = -407 - -412. Suppose 20316 = u*g + 7*g. Is g prime? True Let m(g) = g**2 + 9*g - 19. Let f be m(-11). Suppose -5*k - 3*h + 78856 = -k, f*h = -5*k + 98573. Is k a prime number? True Let x(p) be the second derivative of 147*p**5/20 + 7*p**3/6 - p**2/2 + 27*p. Is x(3) prime? True Suppose 5*f - 14052 = 30878. Suppose 2*m + 1596 = f. Is m a prime number? False Let f = -106 + 106. Suppose 0 = -f*b - 2*b + 5398. Is b a prime number? True Suppose -15*z + z + 429758 = 0. Is z a composite number? False Let f = 235533 + -113516. Is f a composite number? True Suppose -3*c - 211 = -5*m - 2*c, 4*m - c - 169 = 0. Is (m/(-12))/7 - 26457/(-6) a prime number? True Suppose 2*v - 3*m = 1094, -4*v + m + 2748 = v. Let z = 1491 - v. Is z composite? False Let b(d) = d**3 - 6*d**2 - 2*d + 10. Let u be b(6). Let q be ((-17471)/u)/((90/12)/15). Suppose 12*z - 6205 = q. Is z a composite number? False Let a = -25993 + 82482. Is a a prime number? True Let l = 8619 + -200. Is l a composite number? False Suppose 0 = 3*l + d - 148357, -24*l + d = -21*l - 148349. Is l prime? True Let z(k) = -9*k - 5. Let o be z(-1). Suppose 1 = -o*x - 3*v - 2, -2*v = -2*x + 2. Suppose x = 2*q - 261 - 637. Is q a prime number? True Let x = -48 + 60. Let m(d) = 349*d - 61. Is m(x) prime? True Let n = -43488 - -112853. Is n a composite number? True Suppose 5*c + 0*f - f = -53, 5*c = -f - 57. Let t(y) = -51*y - 34. Is t(c) a composite number? True Let b(i) = -31*i**3 + 11*i + 32. Let n be b(-5). Let x = 24294 - 12348. Suppose -x - n = -6*s. Is s prime? True Let u = -744848 + 1701613. Is u prime? False Let a = -99 - -102. Suppose 0 = a*w + 12. Is (5 - 1) + w + 2*29 a prime number? False Suppose -5*j - 3 = 17.
{ "pile_set_name": "DM Mathematics" }
m, 3, 5 Let i = -2649 - -2675. Sort 2/13, i, 1, -3. -3, 2/13, 1, i Suppose -5*l - 51 = -66. Put l, 0, 4 in ascending order. 0, l, 4 Let z = -235 + 234. Put 3, -6/11, z in descending order. 3, -6/11, z Let h(m) = 76*m**3 - 1 + 0 + 14*m**2 - 73*m**3 + m**2. Let r be h(-5). Sort -6, 0, r in increasing order. -6, r, 0 Let h = -29.1 + 29.4. Let o = -2 - -2. Let b = -0.4 - o. Put h, 4/3, b in descending order. 4/3, h, b Let g(l) = l**2 + 2*l - 2. Let t be g(1). Suppose v - 3*w - t - 6 = 0, 2 = -2*w. Put 2, v, 7 in descending order. 7, v, 2 Let i = 365/2261 + -6/323. Put -3/5, -2/9, i in decreasing order. i, -2/9, -3/5 Suppose 4*i - 3*o - 1 = -i, -2*i - o + 7 = 0. Suppose 4*u = m + 3*u, -m - 10 = 4*u. Let a(w) = w**3 - 13*w**2 + 14*w - 27. Let f be a(12). Sort m, i, f. f, m, i Let s be ((-8)/(-6))/((-84)/(-63)) + 5. Sort 74, -3, s in descending order. 74, s, -3 Let s(b) = 2*b**2 - 3*b - 4*b**2 - 10*b**2. Let y be s(-2). Let q be 2/7 + 12/y. Sort q, -1, -5 in descending order. q, -1, -5 Let f be 0 - (35/4 + (-6)/8). Let q(x) = -x**2 - 8*x - 2. Let i be q(f). Put 3, i, 9 in increasing order. i, 3, 9 Let i be (-4)/(-7) + 6/14. Let g = -1 + i. Let j be -1 + g + (-45)/(-39). Put -2, j, -4 in descending order. j, -2, -4 Let g = 0.2 - 0.3. Let h = 2912 + -2908. Sort -5, h, g in ascending order. -5, g, h Suppose -5*d + 10 = -10. Let g(u) = u + d + 0*u + u - u. Let y be g(-3). Sort 7, -4, y. -4, y, 7 Let t = -0.4887 - -0.3887. Let r = -5.6 + 0.6. Sort r, t, -8, 4 in decreasing order. 4, t, r, -8 Suppose -10 + 23 = 13*f. Let l(n) = n - 13. Let j be l(9). Sort j, -3, f. j, -3, f Let l = 772 - 771.7. Let w = -28/9 - -718/225. Sort w, -3, -2, l in increasing order. -3, -2, w, l Let c = 1.77 + -1.7. Let k = c - -0.43. Let v = 1116/13 - 86. Sort k, v, 5 in decreasing order. 5, k, v Let m = 30 - 32. Sort -3, m, 0 in decreasing order. 0, m, -3 Let y be 2/(-14) - (-2380)/(-490). Let u = -0.3 + -0.4. Let g = u + 0.4. Sort 6/5, g, y in decreasing order. 6/5, g, y Suppose 4*l = p + 253, 4*l + 2*p = 164 + 74. Sort l, 4, 2 in decreasing order. l, 4, 2 Let x be 2/7 + 24/(-6300)*40. Put x, 32, -4, 0.13 in ascending order. -4, 0.13, x, 32 Let o = 0.133 + 0.007. Let q = 13 + -13.4. Put 5, q, o in ascending order. q, o, 5 Let b = 302 - 300. Sort -4, 4, 5, b in ascending order. -4, b, 4, 5 Let v = -1 + 0. Let x = -2 - v. Let o(p) = p**2 - 318*p - 640. Let w be o(-2). Sort 4, x, w in ascending order. x, w, 4 Suppose -c - 13*d = -10*d - 20, -2*c - 5*d = -35. Put c, 4, 71 in decreasing order. 71, c, 4 Let w = 2 + -2. Let u = -11 + 23. Let n be ((-6)/(-9))/(u/(-54)). Put 2, n, w in decreasing order. 2, w, n Let k = 0.3 - 0.32. Let c = -1.02 - k. Let r = 0.34 + 0.06. Put c, -0.3, r in descending order. r, -0.3, c Suppose -5*y - 16 = 5*z - 7*y, -z - 8 = -2*y. Sort 4, 0, -25, z in descending order. 4, 0, z, -25 Let t = -0.2 + 14. Let v = t - 5.7. Let i = 8 - v. Sort 5, 0.2, i. i, 0.2, 5 Let z(h) = h**3 - h**2 - 3*h + 4. Let c be z(2). Let f be (-1)/(c/1)*30/12. Sort -2, -3, f, -5. -5, -3, -2, f Let q be 2/(-2)*(56/(-21))/(-8). Sort -67, q, 1, -2. -67, -2, q, 1 Suppose -2*u + 7*u + 2*l - 2 = 0, 2*l = -8. Suppose -10 = -u*w + 4*w. Sort w, 26, -4 in decreasing order. 26, -4, w Suppose 75*m + 54 = 81*m. Sort 2, m, -3 in ascending order. -3, 2, m Let o = 3 - 2.6. Suppose 0 = 2*n - 6, -5*s + 2*n + 2*n + 198 = 0. Let w be -2*(s/9)/(-7). Put 0, o, w in descending order. w, o, 0 Suppose -7*g + 15 = -2*g. Let t = 6 + -3. Suppose -x + 8 = -t*x. Sort x, g, 0. x, 0, g Suppose -5*l - 35 = -3*a, a + 4*l = -l + 5. Put -1, a, 1 in increasing order. -1, 1, a Suppose 5*u - 5*s + 81 = -14, 4*u + 106 = -2*s. Put u, -1, 2 in ascending order. u, -1, 2 Let u = -1/2201 + -4387/33015. Sort 1, 5/6, u, 0 in ascending order. u, 0, 5/6, 1 Let g be (-1)/((-3)/(-18)) - -10 - -4. Put -4, 1, g in increasing order. -4, 1, g Let x be 43/(-215) + (-31)/70. Sort 2/5, -0.5, x, -4 in descending order. 2/5, -0.5, x, -4 Let d = 149 - 150. Let k = -2 + 0. Put d, 0, k in decreasing order. 0, d, k Suppose -4*o - 59 - 13 = 0. Let c be (-1 - -1)/((-18)/o). Put 0.6, 4, c in ascending order. c, 0.6, 4 Let n(a) = -a**3 + 5*a**2 + 5*a + 2. Let g be n(6). Suppose 0 = -183*k + 182*k - 5. Put 3, k, g in descending order. 3, g, k Let j be 21/12 - (-1 + 2). Sort -33, j, 3, -2/3 in descending order. 3, j, -2/3, -33 Let m(z) = -z**2 + z. Let f be m(0). Let v = 1.437 - 0.437. Put -0.17, f, 3, v in decreasing order. 3, v, f, -0.17 Let k = -11.8 - -4.9. Let a = 1.1 - k. Let n = -8 + a. Sort n, 1, 0.1 in decreasing order. 1, 0.1, n Let n = 1368 + -1369. Suppose -2*z + 3 - 23 = 0. Sort -4, z, n. z, -4, n Let y = 46 + -97. Let i = -47 - y. Let r be (18/(-15))/(2/(-5)). Sort r, -4, i. -4, r, i Suppose -5*h - 2*b = 20, -2*h + b = 3*h + 20. Put 42, h, -2 in ascending order. h, -2, 42 Let p(d) = -d**3 - 45*d**2 - 131*d - 211. Let k be p(-42). Let x be 3*-1 + (-1)/1. Put x, 5, 4, k in ascending order. x, k, 4, 5 Let q be (-260)/6 - 6/9. Let h be 6/(-42) + q/(-14). Let i(y) = -3*y - 1. Let m be i(-2). Sort h, m, 4. h, 4, m Let l be (-7)/(84/(-9)) + 12/(-8). Let u = 7.8 + -9. Let o = 1 + u. Put l, -0.1, o in decreasing order. -0.1, o, l Let h be (-2 - (-5)/3)/1. Let b = 0.0865 + -1.0865. Sort b, h, -2. -2, b, h Let q = -2816 - -1459. Let n = q + 17665/13. Let o = n + -2. Sort 3, o, -2/9 in ascending order. -2/9, o, 3 Let p = -1069 - -5343/5. Let q = 6 - 8. Let o = q - -3. Sort p, o, 0.1 in increasing order. p, 0.1, o Suppose 7*j - 47 = -33. Put -100, 1, j in increasing order. -100, 1, j Let l = -13 + 1. Let p be -2 + 4 + (-14)/(-2). Let f = p + l. Sort 1, f, -1. f, -1, 1 Let c = -43 - -50. Let l be (-70)/c*(-2)/5. Put l, -0.1, -4 in descending order. l, -0.1, -4 Let a = -241947/868 - -1115/4. Sort 1/6, -0.2, a. -0.2, a, 1/6 Let g = -114 - -124. Put g, 1, 0, -1 in increasing order. -1, 0, 1, g Let b be (-1)/3 + 26 + -25. Let w = -0.16 + -0.04. Put -2/9, b, w in increasing order. -2/9, w, b Let n = -584 - -583. Put -61, n, 2 in descending order. 2, n, -61 Let u(b) = b**2 - 26*b - 86. Let d be u(29). Let l(j) = -j - 2. Let z be l(-8). Suppose 5*m + 2 = z*m. Sort -5, m, d in descending order. m, d, -5 Let z(p) = p**3 - 2*p**2 - 4*p + 5. Let a be z(3). Let u be 0 + a - (2 + -4). Let j be (9/(-12))/(1/u). Sort j, -1, -2 in increasing order. j, -2, -1 Let l be 3/(-4) + -2 + 83/36. Sort -0.5, l, -0.04 in ascending order. -0.5, l, -0.04 Let l = 1247 - 1238. Sort 0.3, 2/23, l, 1 in descending order. l, 1, 0.3, 2/23 Let g = 12 - 10. Suppose 2*t = -0*t + g. Let r(d) = d + 7. Let h be r(-11). Put h, 5, t in descending order. 5, t, h Let i be (760/1330)/(1/(-7)). Suppose 0 = 4*h + 6 + 6. Sort i, h, 1 in descending order. 1, h, i Let b be 124/24 - (-1 - (-14)/12). Put 2/7, 2/13, b, 2/3 in ascending order. 2/13, 2/7, 2/3, b Let h be (((-39)/(-2))/13)/((-1)/(-2)). Let r be (-2)/3 + h/(-9). Suppose -2*x + 3*f - 6 = 0, 3*x + 0*f = f - 2. Sort -5, r, x in decreasing order. x, r, -5 Let v be 1*(-1 - -6) - 3. Let r = -196 - -191. Sort -2, r, v. r, -2, v Let x = 748 + -745. Let i = -0.2 - 0.2. Sort i, 0.4, 1/2, x in increasing order. i, 0.4, 1/2, x Let x(l) = l**2 + 22*l + 112. Let u be x(-9). Sort u, 2, 4, 0 in increasing order. u, 0, 2, 4 Let k = -217/232 - -7/116. Let n = k + 65/56. Sort 0.4, 5, n in decreasing order. 5, 0.4, n Suppose 5412 = 74*c - 62*c. Sort c, -3, 5 in ascending order. -3, 5, c Suppose -2*z + z = 0. Let a(d) = -d - 21. Let h be a(-17). Sort z, h, -5 in descending order. z, h, -5 Let i be (3/15)/(((-21)/6)/7). Sort i, -2, 0 in decreasing order. 0, i, -2 Let x be (-64)/352 + 53/(-11). Let n be x - (-4 - (-1 - 0)). Sort 4, -5, n, 11 in descending order. 11, 4, n, -5 Let q = -18 + 31. Let d = q - 89/7. Sort 4/5, d, -1 in increasing order. -1, d, 4/5 Suppose 3*j - 4*s = -9*s - 30, 5*s - 10 = 5*j. Let f(x) = 4*x**3 - 11*x**2 + 23*x - 9. Let t be f(2). Sort 2, j, t in decreasing order. t, 2, j Let v = 1.5 + -2.5. Let z = 61/2 + -31. Let l = -4 - 0. Sort v, z, l. l, v, z Suppose 3*q - 9*q = -24. Put -20, -2/5, q in increasing order. -20, -2/5, q Let t = -4/519 + -55/346. Sort -0.17, -2/7, t, 0.6 in descending order. 0.6, t, -0.17, -2/7 Let w be 4/(-6) + (-8)/(-6). Let i = -1.75 - -2.25. Sort i, 4, w. i, w, 4 Suppose 5*v - 22 = -2. Let n be (v - 3)*(2 - 0). L
{ "pile_set_name": "DM Mathematics" }
6. Let w be 49152/h + 6/(-39). Are w and 631 non-equal? True Let h be 2/9 + 240/(-108). Let y(k) = 9*k - 2. Let t be y(h). Suppose 32*i - 33*i = x + 16, -3*i + 3*x = 78. Are i and t unequal? True Let h = -8117 + 8275. Which is greater: h or 162? 162 Let b = -495 - -220. Let r = b - -1383/5. Let h(i) = -2*i - 5. Let p be h(-4). Is p at least r? True Let x(a) = 141*a + 4224. Let i be x(-30). Let k = 1 - -1. Suppose k*h = 3*p - 3, -3*p - 2*p - 3*h = -24. Which is bigger: i or p? p Let u = 3299.16 - 44.16. Is 0.1 at most as big as u? True Suppose i = -2*p + 3*p + 1, -3*p + 3 = 0. Suppose 0 = i*v + 5*n - 4*n - 107, 0 = v + n - 53. Which is bigger: v or 53? v Suppose 194025 + 135977 = 102*s - 11494. Is 3348 less than or equal to s? True Let v be (5/50)/((-25)/30). Which is bigger: -1.7 or v? v Suppose 8*u - 114 = -122. Which is smaller: 3823 or u? u Let z = -0.9535 + -0.0465. Which is greater: z or 0.02908? 0.02908 Let k = 12081 + -11618. Is k bigger than 463? False Let w = -171 - -172. Let y = -244.944 + 245. Is w >= y? True Suppose 1 = 2*v - 1. Let u = 1519/8 + -190. Let a = 21/104 + u. Are v and a non-equal? True Suppose -3*p + 3 = -0, -7 = x - 5*p. Let l be (2 + -2)/(3 + 10/x). Which is smaller: l or 1/7? l Let k = 23.764 - 26.464. Do -0.15 and k have different values? True Let w be (-4)/(-4) - -2 - -4. Let o be (w + -7)*(-2)/2. Let h = -97525/59 + 1653. Which is smaller: h or o? o Let b = 1743 + -1798. Is -53 less than or equal to b? False Let j be (-412 + 4)/((-3)/2). Let c = 1356/5 - j. Let v be (1/(-3))/((-1392)/(-72) - 19). Is c < v? False Let q = -1106.8 + 1114.8. Is q less than or equal to 0.0534? False Let d = -13 + 9. Let m(f) = -f**3 - 4*f**2 - 4*f + 5. Let h be m(-4). Let l be d + h + -4 - 2. Which is smaller: l or 8? 8 Suppose 541 + 845 = -18*b. Let l = -4544/59 - b. Is -1 at most as big as l? True Let a = 547 - 37195/68. Let s(l) = -43*l + 4428. Let m be s(103). Which is bigger: m or a? a Suppose 76*q = 262 - 262. Is q greater than 1/1699? False Suppose -l = -0*l - 7*l. Let z(u) = u**3 - 3*u**2 + 2*u - 4. Let a be z(l). Is -49 < a? True Suppose 5*i - 5*n = -1035, -5*n - 92 + 713 = -3*i. Let o = -71 - i. Which is smaller: 273/2 or o? o Let b(t) = 16*t**2 + 5*t + 9. Let u be b(-2). Let n = 25 + u. Let w be 12/(-28)*(1 + (-2)/6). Which is greater: w or n? n Suppose 0 = -61*b + 59*b - 5*v - 100, b - 5*v = -20. Suppose 0 = -2*m + 147 + 57. Let f be m/b + (-40)/(-16). Which is smaller: 0.1 or f? f Suppose 36 = -15*r - 54. Let x be r/(-4) + 1256/(-16). Which is smaller: x or -153/2? x Suppose -b + 8 = -4. Let n be 0/(b/(-5) - 28/(-70)). Let i be (-2)/(-9) - (n - 32/18). Is 2 at least i? True Let w = 31 - 14. Let c = 331 + -316. Suppose 0 = c*q + 5 - 260. Does q = w? True Let s = -792 - -787. Let d be (-48)/10 - s*(13 - 12). Is 0.01 smaller than d? True Suppose -32 = -2*o - 376. Suppose 1998*a + 4*z = 1994*a - 708, 0 = -2*a + 3*z - 324. Which is smaller: o or a? o Let f be -17 - -18 - (-131 + 0/(-2)). Suppose -3*h + f = -126. Suppose 0 = v - o - 32, 3*v - 4*o + 3*o - h = 0. Which is smaller: v or 26? 26 Let s = 3 + -3.1. Let u = s - 7.9. Let x = 646 + -646. Is x smaller than u? False Let q = 1.49 - 92.49. Let a = q + 97. Let j = 0.9 + -1.9. Is a < j? False Let j be 3 + 0 + 52/598 + 5422/69. Is j less than -0.02? False Suppose 0 = -3*g - 2*c + 4*c + 10, -4 = -4*c. Suppose 4*q + 460 = -g*o, 95 = -q + 3*o - 0. Which is smaller: q or -111? -111 Let t be (-2325)/(-175) + 14 + -27. Let k be ((-1)/22)/((-9)/6). Is t not equal to k? True Let n = -651 + 650. Which is smaller: n or 9/200? n Let q = 8/18093 + -4999723/54279. Which is bigger: -93 or q? q Let w be (14/(-44) + 8/(-44))/((-112)/224). Which is smaller: w or 4/245? 4/245 Suppose -z - 3 = -2. Let v be (-45)/4 + 11 + (-780)/(-3376). Which is greater: z or v? v Suppose 5*d + 31 = -3*u, 2*u - 3*d - 48 = -56. Let q be 10*(6/(-4) - -2). Let i = -1 - q. Is i >= u? True Let r = 7817/6 + -1284. Is -1 != r? True Let w = -4 + 4.3. Let h = w - 0.4. Let j = -23655 - -23654.8. Is j smaller than h? True Suppose 0 = 5*x - 84 + 64. Let k = 3 - -2. Suppose 9 = -x*m + k. Which is bigger: 1/22 or m? 1/22 Let v = 12218/385 + -1098/35. Let r(t) = t + 3. Let p be r(-4). Which is smaller: v or p? p Let t be ((-1)/2)/((77/(-602))/11). Let o = 136 - 92. Is o greater than or equal to t? True Let c = 8617 + -10629. Are c and -2 nonequal? True Let j(b) = b**3 - 16*b**2 - 17*b + 62. Let h be j(6). Which is greater: -5 or h? -5 Let o = -28 + 66. Let q = o + -30. Suppose 2*t - 4 = 10. Are t and q non-equal? True Let n be (6/(-12))/1*(-14 - 2474). Is n != 1239? True Suppose 532 - 28 = 8*j. Suppose j*s - 44 = 19*s. Is -9/35 >= s? False Let h = -9.39 - -4.79. Let x be (-3)/36 + 1/3. Is h at least as big as x? False Suppose 6194 = j + 3*c, -4*j + 4*c - 3393 = -28089. Suppose 0 = -16*i + j - 595. Which is smaller: 350 or i? i Let x(y) = -473*y + 3783. Let f be x(8). Is 2/59837 at most as big as f? False Let h = -1082 - -1809. Let x = -727.1 + h. Which is bigger: x or 408? 408 Let t be -4*(889/133 - 3). Is t greater than -1? False Let j = -21.99 + 32.99. Is j != -201? True Let x(p) = p**2 - 38*p - 300. Let d be x(-7). Which is bigger: -7/5 or d? d Suppose -5*r = m - 1000, -m = 4*r + 4*m - 821. Let g = -24 + r. Let c be 2/(-5) + 70/g. Which is bigger: c or -1/7? c Let u = -1953 + 1953.5. Let p = 13.19 - -1.81. Is u > p? False Let g = -1062.91649 + -0.08351. Does 1/4 = g? False Suppose 3*t + 272 = -v, 4*t - 254 = 3*v - 595. Which is greater: t or -5? -5 Let m be 304*((-51)/(-459))/((-2)/(-9)). Which is smaller: 10 or m? 10 Let k(p) = -3*p - 62. Let t be k(-27). Suppose t*s = 12*s + 7. Are 2/281 and s non-equal? True Let w = -168 + 119. Let t = w + 50. Do 5 and t have the same value? False Suppose -5*a = 4*r - 34, 0*a - 5*a + 22 = 2*r. Let k be (-7)/(-63) - (-27699)/27. Let j = 1032 - k. Is r greater than j? False Let u = 9579 + -9756. Which is smaller: u or 12? u Let m be 32189/(-8910) + ((-72)/(-33) - 2). Let z = 5/162 + m. Which is greater: 0 or z? 0 Suppose 0 = -2*l + 3*u + 5371, -l - 173*u = -177*u - 2683. Do 0.1 and l have different values? True Let x(o) = o**3 + 15*o**2 - 35*o - 16. Let z be x(-17). Let r be ((z/1)/33)/((-48)/144). Which is bigger: 3 or r? 3 Suppose -7*n - 12*n = 19. Let y be n*(-14 + 8)/6. Is y < 1/412? False Suppose 2*n + 2 = 2*l + 30, 0 = 2*n + 4*l + 2. Let p(v) = -57*v + 12. Let c be p(n). Let j = -9523/19 - c. Is j < 1? True Let t = -1682 + 1680. Which is smaller: t or 13/4? t Let l = 18706 + -18913. Is l less than or equal to -9? True Let s(k) = k + 14. Let i be s(-8). Let j be -1*4 + -3 + i. Let t be 6/(-9) - (-7)/24. Which is bigger: t or j? t Suppose -333 = 4*x - 85. Let h = -62 - x. Which is smaller: h or 5/48? h Suppose 6*x - 214 = -58. Suppose 7 = -25*k + x*k. Which is greater: 1 or k? k Suppose -2*m = -3*x - 883, -64*m + 2*x = -60*m - 1754. Is m >= 437? True Let m(g) = g**3 - 13*g**2 - g + 13. Let w be m(13). Suppose w = l + 1, 4*n + 8*l = 7*l - 25. Which is greater: n or -7? n Suppose -99*i + 91*i + 24 = 0. Suppose 2*n - 23 = 3*n - l, 5*l = -i*n - 45. Do n and -182/9 have the same value? False Let p be (-1872244)/(-19760) + (-45)/(-15). Let q = p + 1/1235. Is q not equal to 99? True Let g = 102 + -99. Suppose -12 = g*b + 3*l, b + l - 2*l = 4. Suppose b = 12*m + 7 + 5. Which is bigger: -1/2 or m? -1/2 Let v(r) be the second derivative of r**3/2 + 7*r. Let h be v(-2). Let j be 15/h*3/(-675). Which is smaller: 0 or j? 0 Let x = 33397 - 33398. Which is bigger: x or -63/388? -63/388 Let a be 1588/(-6) - (-1 + 16/12). Let r = a - -3443/13. Which is greater: r or 5/9? 5/9 Let i = -28 + 76. Let c = -50 + i. Let d(f) = -f**3 - 4*f**2 - 4*f - 1. Let m be d(-1). Which is smaller: c or m? c Let g be (-2)/(-4) - 738/(-12). Let p(o) be the second derivative of -o**4/12 - 11*o**3/3 - 25*o**2 + 2*o + 32. Let y be p(-14). Are y and g unequal? False Suppose 0 = 4*p - 7*p + 36. Let d = -1240 + 1277. Let a = d - p. Is 25 at most as big as a? True Let u = -256 - -240. Let p(b) = b**2 - 2*b - 13. Let f be p(6). Suppose m + 28 = f. Which is smaller: m or u? m Let b be 188122/6168 - -7 - 4/2. Let w = 1/3084 + b. Let u = w + -777/22. Which is smaller: u or 0? 0 Let q = -9.273 - -9.143. Which is bigger: -38 or q?
{ "pile_set_name": "DM Mathematics" }
5*d + 6. Let i be n(q). Let i*w**2 + 3*w**2 + 5*w**3 - 2*w**3 = 0. What is w? -1, 0 Let b(n) = -n**3 + 7*n**2 - 5*n - 4. Let j be b(6). Suppose -j*h**2 + 2/3*h**3 + 2*h - 2/3 = 0. What is h? 1 Let o(v) be the first derivative of v**6/57 - 12*v**5/95 + 13*v**4/38 - 8*v**3/19 + 4*v**2/19 + 77. Factor o(q). 2*q*(q - 2)**2*(q - 1)**2/19 Let v(p) be the first derivative of -p**4/20 - 19*p**3/15 - 23*p**2/2 - 45*p + 53. Factor v(y). -(y + 5)**2*(y + 9)/5 Let b(m) be the second derivative of -m**4/15 - 4*m**3/15 + 16*m**2/5 + 3*m - 73. Suppose b(y) = 0. What is y? -4, 2 Let 50/7*l**2 + 2/7*l**3 + 726/7 + 374/7*l = 0. Calculate l. -11, -3 Factor -16*s**3 - 92*s - 8*s - 24 - 8*s**2 - 26*s**2 - 78*s**2. -4*(s + 6)*(2*s + 1)**2 Suppose -3*r + x + 8 = 2*x, -5*r = -2*x - 17. Let c(n) be the first derivative of 0*n - 1/5*n**5 + 17/20*n**4 + 2/5*n**2 - 16/15*n**3 + r. Factor c(p). -p*(p - 2)*(p - 1)*(5*p - 2)/5 Let t be (43/7)/((-3)/(-6)). Let y = -704/63 + t. Solve 4/9*c - y*c**4 + 8/3*c**3 - 2*c**2 + 0 = 0. 0, 2/5, 1 Suppose 3*h + h = 0. Suppose 0 = -h*k - 2*k + 12. Factor -3 + x**4 + k*x**2 - 5*x**4 - x**4 + 2*x**4. -3*(x - 1)**2*(x + 1)**2 Let -64*l**2 - 48392*l**3 + 44*l + 3896 + 48388*l**3 - 992 = 0. What is l? -11, 6 Factor 0 - 21/2*k + 10*k**2 + 1/2*k**3. k*(k - 1)*(k + 21)/2 Let y(b) be the first derivative of -12*b**2 + 21 + 969/4*b**4 - 132*b**5 - 99*b**3 + 12*b. Find q, given that y(q) = 0. -2/11, 1/4, 2/5, 1 Let q(x) be the first derivative of x**5/20 + 15*x**4/8 + 193*x**3/12 - 60*x**2 + 64*x - 590. Suppose q(f) = 0. Calculate f. -16, 1 Determine l, given that 11*l**2 + 43*l**3 + 15*l**2 + 95*l + 62*l**3 - 221*l**2 - 5*l**4 = 0. 0, 1, 19 Let i(p) be the third derivative of -p**5/12 + 5*p**4/8 + 25*p**3/3 - 22*p**2. Suppose i(r) = 0. What is r? -2, 5 Let f = -16 - -20. Let d(i) = 5 + 11 - f*i - 14. Let w(g) = g**3 + g - 1. Let m(u) = -2*d(u) - 4*w(u). Factor m(o). -4*o*(o - 1)*(o + 1) Let f(i) be the third derivative of -i**7/6300 + i**6/540 - i**5/300 - i**4/20 - 3*i**3 - 3*i**2. Let n(h) be the first derivative of f(h). Factor n(r). -2*(r - 3)**2*(r + 1)/15 Let l(d) be the third derivative of -d**7/210 - 13*d**6/120 - 11*d**5/60 + 13*d**4/24 + 2*d**3 - 192*d**2. Factor l(f). -(f - 1)*(f + 1)**2*(f + 12) Let j be ((-46)/(-36) - 1) + 32/144. Let i(x) be the first derivative of -j*x - 1/16*x**4 + 1/6*x**3 - 7 + 1/8*x**2. Factor i(t). -(t - 2)*(t - 1)*(t + 1)/4 Let g be (-4)/(-8) - (-30)/4. Suppose -2*s = -w - g, -3*w + 8*w = s - 22. Factor -6*l**5 - 2*l**3 - 3*l**4 - s*l**4 + 3*l**5. -l**3*(l + 1)*(3*l + 2) Let d(r) be the first derivative of 17*r**4/6 + 110*r**3/9 + 46*r**2/3 + 16*r/3 + 183. Suppose d(f) = 0. What is f? -2, -1, -4/17 Let o(p) be the second derivative of -p**7/7560 + p**6/3240 + p**5/270 - p**4/54 - 2*p**3 - 14*p. Let z(g) be the second derivative of o(g). Factor z(i). -(i - 2)*(i - 1)*(i + 2)/9 Factor 39/7*j + 18/7 - 24/7*j**2. -3*(j - 2)*(8*j + 3)/7 Let y be (24/(-8) + 3)*1. Let u(h) be the second derivative of 1/12*h**3 + 4*h + 0*h**2 + y + 1/48*h**4. Determine s, given that u(s) = 0. -2, 0 Let b(x) be the first derivative of -1/6*x**2 + 1/12*x**4 + 0*x**3 - 7 + 0*x. Find h such that b(h) = 0. -1, 0, 1 Let w = 143 - 138. Suppose -7*h - w*h - h = 0. Suppose h*a**3 + 0*a**2 - 3/4*a**5 + 3/4*a**4 + 0*a + 0 = 0. What is a? 0, 1 Let q(d) = 4*d**4 + 8*d**3 + 6*d**2 + 10*d + 8. Let j(x) = x**4 + x**3 - x**2 + x + 2. Let t(i) = -3*j(i) + q(i). Factor t(m). (m + 1)**3*(m + 2) Let u(y) be the first derivative of 0*y + 3/4*y**2 - 15/16*y**4 + 3/4*y**3 + 7. Find q, given that u(q) = 0. -2/5, 0, 1 Suppose 4*q + 3 = 11. Suppose 0*j - 257*j**2 + 0*j + 3*j**3 - j**4 + 255*j**q = 0. Calculate j. 0, 1, 2 Let y be 3*4*(-4)/(-16). Let b = y - -1. Determine c so that -3*c**2 - 12*c - 4*c**2 - 15 + b*c**2 + 3 = 0. -2 Let g(y) be the second derivative of 0 + 1/7*y**2 - 1/42*y**4 + 12*y + 1/42*y**3 - 1/140*y**5. Solve g(m) = 0 for m. -2, -1, 1 Let f be -86*(-2 + 2 + -1). Suppose 4*j + d + 3*d = 320, j = 5*d + f. Factor 285 - 3*u**2 - 349 - j*u**2 + 10*u**3 + 192*u. 2*(u - 4)**2*(5*u - 2) Let l be 15/9 - (-1 + 12/6). Let u(w) be the first derivative of 4 - l*w**3 - 2*w**2 - 2*w. Factor u(j). -2*(j + 1)**2 Let z(s) be the second derivative of 2*s**6/105 - 3*s**5/28 + 4*s**4/21 - s**3/14 - s**2/7 + 34*s - 4. Factor z(x). (x - 2)*(x - 1)**2*(4*x + 1)/7 Let b = -29503/8 - -3688. Factor -b*r**5 + 0 + 0*r + 1/8*r**3 - 1/8*r**2 + 1/8*r**4. -r**2*(r - 1)**2*(r + 1)/8 Determine h so that 10/17*h**2 - 2/17*h**3 - 16/17 - 4/17*h = 0. -1, 2, 4 Let k(v) be the first derivative of v**6/1980 - v**5/660 - v**4/66 - v**3 + 13. Let t(b) be the third derivative of k(b). Factor t(o). 2*(o - 2)*(o + 1)/11 Let i be ((-10)/(-105))/(8/16). Let x(k) be the first derivative of -6 - i*k**3 - 12/7*k - 8/7*k**2. Factor x(t). -4*(t + 1)*(t + 3)/7 Let t(m) be the first derivative of m**7/21 + 4*m**6/15 + 3*m**5/10 + 3*m - 16. Let r(k) be the first derivative of t(k). Factor r(p). 2*p**3*(p + 1)*(p + 3) Let b(f) be the third derivative of f**5/510 + 7*f**4/204 - 8*f**3/51 - 2*f**2 - 22*f. Factor b(l). 2*(l - 1)*(l + 8)/17 Let s(j) be the third derivative of j**7/105 + 91*j**6/240 + 13*j**5/24 - 11*j**4/24 - 23*j**2. Find a, given that s(a) = 0. -22, -1, 0, 1/4 Suppose 7*v - 24*v = 17. Let z be (-90)/(-72) + v/(-4). Find a, given that -3/2*a**4 + 0 + 0*a**3 + 0*a + z*a**2 = 0. -1, 0, 1 Let o = 23832 + -23830. Find m, given that -1/2*m**o + 4 + 7/2*m = 0. -1, 8 Let v(q) be the second derivative of q**6/60 + q**5/40 - 5*q**4/24 + q**3/4 + q - 79. Factor v(r). r*(r - 1)**2*(r + 3)/2 Let u(s) = 10*s**4 + 115*s**3 + 420*s**2 + 645*s + 305. Let v(p) = 5*p**4 + 58*p**3 + 210*p**2 + 323*p + 151. Let x(l) = 3*u(l) - 5*v(l). Factor x(w). 5*(w + 1)*(w + 2)*(w + 4)**2 Let h = -12 - -9. Let z(d) = -d**3 - 2*d**2 + 2*d - 3. Let o be z(h). Suppose -2/5 + 4/5*u**2 + 0*u**3 + o*u - 2/5*u**4 = 0. Calculate u. -1, 1 Let k(s) be the second derivative of s**7/21 - 2*s**6/45 - 3*s**5/10 + 4*s**3/9 - 4*s - 24. Determine m, given that k(m) = 0. -1, 0, 2/3, 2 Let r(t) = -2*t**2 - t - 1. Let i(s) = 10*s**2 - 8*s + 22. Let z(x) = -i(x) - 4*r(x). Factor z(g). -2*(g - 3)**2 Let x(z) be the third derivative of 0*z + 0*z**3 + 0 + 1/60*z**6 + 2/15*z**5 - 1/105*z**7 - 1/3*z**4 + 30*z**2. Find b such that x(b) = 0. -2, 0, 1, 2 Let w = -836 + 838. Factor 3/2*n**w + 3 + 9/2*n. 3*(n + 1)*(n + 2)/2 Let k(i) be the second derivative of i**7/630 + i**6/45 - i**5/6 + i**4/3 - 15*i. Let o(m) be the third derivative of k(m). Determine g, given that o(g) = 0. -5, 1 Let d(g) be the first derivative of 16 + 4/9*g + 1/18*g**4 + 5/9*g**2 + 8/27*g**3. Solve d(l) = 0. -2, -1 Factor -11*h**2 - 9*h**3 + 29*h**3 + 15*h**3 - 5*h**4 - 64*h**2 + 45*h. -5*h*(h - 3)**2*(h - 1) Let h(a) = a**2 + 3*a + 3. Let q be h(0). Let o(x) be the first derivative of 2*x**2 - x**4 + 2/5*x**5 - 2*x + 0*x**q - 8. Factor o(d). 2*(d - 1)**3*(d + 1) Suppose -32/9*d**2 - 2/9*d**3 + 34/9*d + 0 = 0. What is d? -17, 0, 1 Suppose 556/7*q**3 + 220*q**2 + 56 + 1364/7*q - 12/7*q**4 = 0. Calculate q. -1, -2/3, 49 Let i(r) be the first derivative of -4/21*r**3 - 8/7*r + 6/7*r**2 - 22. What is d in i(d) = 0? 1, 2 Let g = 78 - -60. Let m = g + -1516/11. Factor -2/11*w**5 + 0 - m*w + 0*w**2 + 0*w**4 + 4/11*w**3. -2*w*(w - 1)**2*(w + 1)**2/11 Let t(w) be the second derivative of -w**6/30 - 3*w**5/10 - 3*w**4/4 - 2*w**3/3 + 115*w. Factor t(g). -g*(g + 1)**2*(g + 4) Let y(t) = -t**2 - 9*t + 2. Let k be y(-8). Let x = -7 + k. Find i, given that i**2 - x*i + 3*i - 2*i = 0. 0, 2 Suppose -6 = -8*n + 5*n. Let -6*v**3 - 9*v**n + 9*v**3 - 6*v**3 + 12 = 0. Calculate v. -2, 1 Let h be (84/(-280))/(1/(-20)). Let y(b) be the third derivative of 2/3*b**3 + 0*b + 16/5*b**5 + 2*b**4 + 0 + 32/15*b**6 + h*b**2. Factor y(i). 4*(4*i + 1)**3 Let y(l) be the third derivative of -l**6/30 + l**5/15 + l**4/3 + 3*l**2 + 53*l. Determine z so that y(z) = 0. -1, 0, 2 Let c be 5*((-11)/55 - -1). Factor 18/5*j**c + 0 + 3/5*j**5 + 36/5*j**2 + 39/5*j**3 + 12/5*j. 3*j*(j + 1)**2*(j + 2)**2/5 Let u(b) be the third derivative of -b**8/168 + 4*b**7/105 - b**6/20 - 2*b**5/15 + b**4/3 - 24*b**2. Find n such that u(n) = 0. -1, 0, 1, 2 Suppose 3/8*v**4 + 3*v - 3/4*v**3 - 3/2*v**2 + 0 = 0. What is v? -2, 0,
{ "pile_set_name": "DM Mathematics" }
ple of 268? True Is 161 even? False Does 6 divide 64062? True Does 13 divide 68866? False Does 16 divide 54912? True Does 42 divide 42? True Is 137 a factor of 58910? True Is 5925 a multiple of 75? True Is 9 a factor of 610? False Does 17 divide 41165? False Is 9 a factor of 559? False Is 165 even? False Is 36 a factor of 8620? False Is 43 a factor of 17716? True Is 200 a multiple of 20? True Is 6 a multiple of 6? True Is 22 a factor of 1031? False Is 208 a factor of 6132? False Does 91 divide 1183? True Does 19 divide 1005? False Is 770 a multiple of 35? True Is 145 a factor of 50315? True Does 5 divide 405? True Is 525 a multiple of 6? False Is 2774 a multiple of 48? False Does 7 divide 4396? True Is 13 a factor of 1559? False Does 23 divide 18722? True Is 39 a factor of 6468? False Is 14 a factor of 67599? False Is 23052 a multiple of 17? True Is 2179 a multiple of 5? False Is 149 a factor of 15935? False Is 52 a factor of 5320? False Is 20373 a multiple of 195? 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False Does 11 divide 264? True Does 8 divide 34944? True Does 3 divide 9? True Does 35 divide 595? True Does 66 divide 12737? False Is 3 a factor of 586? False Is 19625 a multiple of 20? False Is 189 a factor of 27048? False Is 235 a multiple of 12? False Is 283 a factor of 566? True Does 13 divide 9165? True Is 180 a multiple of 45? True Is 1452 a multiple of 33? True Is 2925 a multiple of 9? True Does 14 divide 3136? True Is 290 a multiple of 27? False Is 35 a factor of 1043? False Is 5280 a multiple of 26? False Is 5292 a multiple of 16? False Is 24 a factor of 552? True Does 47 divide 2090? False Does 10 divide 868? False Does 83 divide 61166? False Is 560 a multiple of 28? True Does 9 divide 657? True Is 22 a factor of 396? True Does 44 divide 1012? True Is 11704 a multiple of 88? True Is 8 a factor of 14688? True Does 3 divide 894? True Does 12 divide 12410? False Does 32 divide 725? False Is 28 a factor of 11270? False Is 157 a multiple of 5? False Is 775 a multiple of 18? False Is 5 a factor of 678? False Does 6 divide 3665? False Does 129 divide 36754? False Is 63 a multiple of 21? True Does 16 divide 1791? False Does 16 divide 420? False Is 42 a factor of 3234? True Is 4669 a multiple of 53? False Does 99 divide 675? False Is 20 a factor of 5658? False Does 191 divide 3690? False Is 4776 a multiple of 6? True Is 1504 a multiple of 8? True Does 9 divide 504? True Does 7 divide 1758? False Does 43 divide 250? False Is 6986 a multiple of 31? False Is 21240 a multiple of 70? False Is 13 a factor of 2037? False Is 160530 a multiple of 15? True Is 32 a factor of 56106? False Is 17240 a multiple of 5? True Is 13 a factor of 2145? True Is 8769 a multiple of 111? True Is 15617 a multiple of 22? False Does 13 divide 434? False Is 54493 a multiple of 204? False Is 762 a multiple of 39? False Is 6593 a multiple of 23? False Is 15078 a multiple of 14? True Is 880 a multiple of 3? False Is 25 a factor of 629? False Does 147 divide 23226? True Does 50 divide 13107? 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False Is 19 a factor of 1045? True Does 8 divide 60704? True Does 85 divide 9095? True Does 43 divide 1376? True Is 1254 a multiple of 40? False Does 30 divide 1860? True Does 46 divide 1777? False Does 14 divide 1554? True Is 11 a multiple of 11? True Does 84 divide 37064? False Is 61 even? False Does 16 divide 14985? False Does 116 divide 42627? False Is 6829 a multiple of 4? False Is 222 even? True Is 1242 a multiple of 54? True Does 34 divide 1360? True Is 25 a factor of 4841? False Is 1243 a multiple of 62? False Does 43 divide 18060? True Is 7142 a multiple of 6? False Does 48 divide 430? False Is 4 a factor of 6330? False Is 51 a factor of 4947? True Does 63 divide 4834? False Is 10105 a multiple of 235? True Does 8 divide 379? False Is 54 a factor of 10152? True Is 13 a factor of 65? True Is 1006 a multiple of 12? False Is 101 a factor of 5457? False Does 213 divide 43658? False Is 2710 a multiple of 102? False Is 3248 a multiple of 8? True Is 44 a factor of 605? False Is 198 a multiple of 22? True Is 2451 a multiple of 57? True Is 6 a factor of 1636? False Does 130 divide 7633? False Does 5 divide 47427? False Is 883 a multiple of 18? False Is 12264 a multiple of 14? True Does 31 divide 732? False Is 7 a factor of 29342? False Is 336 a multiple of 24? True Is 2745 a multiple of 46? False Is 4116 a multiple of 12? True Is 4950 a multiple of 25? True Is 3870 a multiple of 18? True Does 213 divide 34341? False Is 137 a factor of 9727? True Does 9 divide 3439? False Is 17 a factor of 835? False Does 4 divide 812? True Is 1482 a multiple of 37? False Is 3913 a multiple of 43? True Is 390 a multiple of 13? True Is 809 a multiple of 13? False Does 159 divide 27825? True Is 20 a factor of 53? False Is 5972 a multiple of 35? False Is 8 a factor of 977? False Does 238 divide 35224? True Is 710 a multiple of 33? False Does 8 divide 368? True Is 7 a factor of 2381? False Does 107 divide 102613? True Is 47658 a multiple of 47? True Does 74 divide 370? True Is 798 a multiple of 85? False Is 11 a factor of 121? True Is 12174 a multiple of 51? False Is 15302 a multiple of 29? False Is 1001 a multiple of 25? False Is 18 a factor of 918? True Does 175 divide 8575? True Is 11342 a multiple of 56? False Is 5 a factor of 17713? False Is 32 a factor of 6048? True Does 33 divide 51282? True Is 12 a factor of 3276? True Is 1625 a multiple of 25? True Is 8 a factor of 208? True Is 40 a factor of 31040? True Is 5 a factor of 525? True Is 18 a factor of 6012? True Does 5 divide 4202? False Is 2736 a multiple of 4? True Is 11340 a multiple of 10? True Does 26 divide 452? False Does 188 divide 46857? False Is 189 a multiple of 14? False Does 140 divide 13976? False Is 748 a multiple of 4? True Is 232 a multiple of 15? False Does 21 divide 441? True Is 107334 a multiple of 9? True Is 1846 a multiple of 71? True Does 33 divide 540? False Does 42 divide 590? False Is 552 a multiple of 23? True Does 7 divide 20? False Does 12 divide 480? True Is 46 a factor of 5152? True Is 1550 a multiple of 25? True Does 7 divide 240? False Is 4 a factor of 165? False Is 26895 a multiple of 83? False Does 4 divide 827? False Does 3 divide 162? True Is 408 a multiple of 28? False Is 585 a multiple of 13? True Does 9 divide 1175? False I
{ "pile_set_name": "DM Mathematics" }
) = -47*f + 1. Let t(p) = 4*n(p) - 9*w(p). Let d(r) = 4*r - 4. Determine 3*d(a) - 2*t(a). 6*a - 2 Let q(x) = x**3 + x - 1. Let l(z) = 7*z**3 + 5*z - 2. Let g = -375 - -627. Let i be g/(-228) - 2/(-19). What is i*l(h) + 5*q(h)? -2*h**3 - 3 Let i(q) = 9*q - 45. Let n(v) be the third derivative of -v**3/6 + 3*v**2 - 33*v. Give i(p) - 45*n(p). 9*p Let d(f) = 2*f**2. Let k(o) = 92*o**2 - 11*o + 2. What is 5*d(g) - k(g)? -82*g**2 + 11*g - 2 Let o(b) = -52*b**3 + 16*b**2 - 4*b + 16. Let k(r) = 35*r**3 - 11*r**2 + 3*r - 11. Let a(h) = 7*k(h) + 5*o(h). Let n(m) = m**2 + m + 1. Determine a(g) - 3*n(g). -15*g**3 - 2*g Let w(d) = 13*d**3 + 14*d**2 + 7*d + 48. Let t(s) = -27*s**3 - 30*s**2 - 15*s - 98. Give 6*t(j) + 13*w(j). 7*j**3 + 2*j**2 + j + 36 Let q(y) = 8*y + 1. Let m(f) = 11*f - 9. Let j(o) = -m(o) + 2*q(o). Let x(h) = -h + 1. Give -j(l) - 2*x(l). -3*l - 13 Let o(i) = 18*i**2 - 654*i + 4. Let z(n) = 14*n**2 - 657*n + 3. Give 3*o(y) - 4*z(y). -2*y**2 + 666*y Let g(r) = 14*r. Let q(x) = -15*x. Let y = 328 - 332. Determine y*q(k) - 5*g(k). -10*k Let y(b) be the first derivative of -2*b**3/3 + 5*b + 1. Let u(h) = 3 - 3 + 14 + 2*h**2 - 7*h**2. Let g be (-2)/(-6)*(-66 + 54). What is g*u(m) + 11*y(m)? -2*m**2 - 1 Let l(v) = -7*v - 4. Let r(w) = 73*w - 296. Let n(j) = 25*j - 105. Let z(t) = 17*n(t) - 6*r(t). Determine 5*l(f) - 2*z(f). -9*f - 2 Let p(o) = -o**2 + 5*o + 4. Let q(u) = 3*u**2 - 14*u - 11. Let y = -711 - -717. What is y*q(z) + 17*p(z)? z**2 + z + 2 Let q(n) = -251*n - 139. Let v(l) = 252*l + 162. Calculate -7*q(w) - 6*v(w). 245*w + 1 Let j(m) = -50*m**3 - 20*m + 20. Let n = 460 - 463. Let a(t) = 7*t**3 + 3*t - 3. Give n*j(h) - 20*a(h). 10*h**3 Let r(v) = -15*v - 87. Let i(j) = 16*j + 51. Calculate -7*i(z) - 6*r(z). -22*z + 165 Let k(c) = -400 + 798 - 397. Suppose -17*s + 80 - 29 = 0. Let y(n) = -2*n**3 + 4*n**2 - 2*n + 3. Calculate s*k(b) - y(b). 2*b**3 - 4*b**2 + 2*b Let o(c) = -10*c + 4. Let i(v) = 5*v - 2. Let w(n) = -n**3 + 42*n - 39. Let s be w(6). What is s*o(z) - 5*i(z)? 5*z - 2 Let v(p) = 1. Suppose 4*s - 5*d = -15, 4*d = 9*d + 5. Let t(a) = 25*a - 20. Let h(q) = 12*q - 9. Let z(w) = s*h(w) + 2*t(w). What is 5*v(b) - z(b)? 10*b Let y(x) = 9*x. Let t(d) = 1418*d**2 + 11*d + 3. Let w be t(3). Let z(a) = 4*a + 12798 - w. Give -2*y(c) + 5*z(c). 2*c Let r(n) = 7*n**3 - 51*n**2 + 2*n + 10. Let k(c) = -6*c**3 + 50*c**2 - c - 8. Give 5*k(p) + 4*r(p). -2*p**3 + 46*p**2 + 3*p Let j(l) = -30*l + 90. Let r(u) = -1. Let b = 4073 - 4072. Give b*j(q) + 90*r(q). -30*q Let o(b) = -b**3 + b**2 + 9*b + 10. Let i be o(4). Suppose 64*a - 70*a - 6 = 0. Let s(h) = -1. Let m(u) = u**3 + 2*u**2 + 2. What is a*m(r) + i*s(r)? -r**3 - 2*r**2 Let d(t) = -502*t - 213. Let n(q) = 169*q + 74. What is -6*d(p) - 17*n(p)? 139*p + 20 Let d(c) = -7*c + 7. Let f be (-6)/((-2)/4*3). Let x(s) = -f - 2*s - 2*s + 8. Let u = 694 + -700. Calculate u*d(m) + 11*x(m). -2*m + 2 Let a(p) = -8*p**3 - p**2 - 7*p + 396. Let r(o) = -15*o**3 - 2*o**2 - 13*o + 790. What is -9*a(b) + 5*r(b)? -3*b**3 - b**2 - 2*b + 386 Let z(l) = 12253*l - 117. Let c(f) = -18379*f + 187. What is 5*c(s) + 8*z(s)? 6129*s - 1 Let g(n) = -6*n**2 + 60*n + 665. Let t(i) = -2*i**2 + 17*i + 222. Give -2*g(x) + 7*t(x). -2*x**2 - x + 224 Let v(i) = -581*i**2 + 132*i + 12. Let u(y) = -393918*y**2 + 89474*y + 8134. Determine 6*u(s) - 4067*v(s). -581*s**2 Let w(y) = -5*y + 2. Let g be (2/(-3))/((-8)/12)*(395 - 396). Let v(r) = r - 7. Let n(d) = 1. Let x(l) = 6*n(l) + v(l). What is g*w(b) - 3*x(b)? 2*b + 1 Let v(q) = -16*q**3 + 5*q**2 - q - 9. Let m(d) = -376*d**3 - 15*d**2 + 833*d**3 - 417*d**3 + 2*d + 22 + 3*d**2. Determine 5*m(y) + 12*v(y). 8*y**3 - 2*y + 2 Let d(b) = 474*b**3 + 17*b**2 - 26*b. Let s(c) = 158*c**3 + 6*c**2 - 10*c. Calculate 3*d(t) - 8*s(t). 158*t**3 + 3*t**2 + 2*t Let i(c) = 335*c - 34. Let o(f) = 155*f - 17. What is 4*i(r) - 9*o(r)? -55*r + 17 Let p(n) = 7*n**2 - 9*n + 5. Suppose -3*d = -0 + 15. Let k(w) = 10*w**2 - 13*w + 7. Suppose -a + 17 = 9*x - 57, -5*x - 4*a = -79. What is d*k(f) + x*p(f)? -f**2 + 2*f Let z(a) = 1376 + 3*a**2 - 2758 + 1381 + 6*a. Let k(x) = -10*x**2 - 18*x + 3. Give 2*k(y) + 7*z(y). y**2 + 6*y - 1 Let h(m) be the third derivative of -m**6/8 + m**5/60 - m**4/8 + 36*m**2 - m - 2. Let g(x) = -7*x**3 - x. What is 5*g(a) - 2*h(a)? -5*a**3 - 2*a**2 + a Let n(b) = 1819*b**3 + 6*b**2 + 12*b - 24. Let d(w) = -552975*w**3 - 1825*w**2 - 3650*w + 7300. Determine 6*d(k) + 1825*n(k). 1825*k**3 Let g(p) = -6*p**2 - 2*p + 8. Let u(h) = 1. Suppose 4*m - 4 = 0, 6*r - 3*m = 9*r - 6. Calculate r*g(n) - 6*u(n). -6*n**2 - 2*n + 2 Let k(a) = -9*a**2 - 2941*a - 12. Let s(y) = 2*y**2 + y + 3. Give -k(b) - 4*s(b). b**2 + 2937*b Let q(w) = w + 45. Let i(k) = -2*k - 3306. Calculate -i(s) - 4*q(s). -2*s + 3126 Let o(p) be the third derivative of -p**6/20 + p**4/8 - p**3/2 + 43*p**2 + 2. Let h(x) = 5*x - 4 - 4 - 11*x**3 + 3. Calculate -3*h(a) + 5*o(a). 3*a**3 Let n(i) = -i - 10. Let f be n(-6). Let a(w) = -2*w. Let p(k) = -2*k + 5. Let d be p(-2). Let b(s) = 16*s - 6*s - d*s. What is f*a(t) - 6*b(t)? 2*t Let s = -348 - -353. Let a(d) = 22*d + 22. Let h(x) = 9 - 4*x + 7*x + 11*x - 5*x. Calculate s*a(r) - 12*h(r). 2*r + 2 Let l(j) = j**3 - 3*j**2 + 39*j - 3. Let h(d) = d**2. Calculate -3*h(t) - l(t). -t**3 - 39*t + 3 Let a(g) = 0*g - g + 2*g. Let i(s) be the second derivative of 0*s**2 - s**3 + 103*s + 0 - 1/12*s**4. Calculate 6*a(q) + i(q). -q**2 Let i(c) = c + 4. Let h be (-9)/(-36)*-2*14. Let s(z) = -15*z - 5. Let m(f) = -34*f - 8. Let x(j) = h*s(j) + 3*m(j). Determine -11*i(t) + 4*x(t). t Let y(k) be the first derivative of 12*k**2 + 9*k + 883. Let o(w) = 8*w + 3. Determine 11*o(n) - 4*y(n). -8*n - 3 Let t(r) = -5*r**2 - 2*r - 3. Let s(m) = -6*m**2 - 2*m - 3. Suppose 5*l = -2*g - 11, -g = 2*g + l + 10. What is g*s(f) + 4*t(f)? -2*f**2 - 2*f - 3 Let n(j) be the third derivative of -j**3/6 - 3*j**2 - 256*j. Let a(b) = 2*b - 4. Determine a(k) + 8*n(k). 2*k - 12 Let w(k) = 9*k - 3. Let d = 2 - -1. Let p(a) = -145*a - 17396. Let r be p(-120). Let f(h) = -8*h + 4. Determine d*f(y) + r*w(y). 12*y Let j(u) = -2*u + 2887. Let n(i) = -8. What is -j(h) - 2*n(h)? 2*h - 2871 Let j(s) be the first derivative of 3*s**4/2 - 4*s**3/3 + 2*s + 7665. Let o(n) = -n**3 - n**2 + 1. Calculate -j(c) + 3*o(c). -9*c**3 + c**2 + 1 Let r(a) = -16 - 22*a + 21*a + 17. Let i(n) = 105 + 95 - 198 - 2*n. What is 2*i(y) - 6*r(y)? 2*y - 2 Let a(k) = 87*k**3 - 105*k**2 - 22*k - 22. Let h(x) = -65*x**3 + 79*x**2 + 16*x + 16. Calculate -8*a(f) - 11*h(f). 19*f**3 - 29*f**2 Let z(k) = -379437*k**2 - 474*k + 474. Let l(n) = 3994*n**2 + 5*n - 5. Give 474*l(o) + 5*z(o). -4029*o**2 Let b(g) = 7*g**3 + 5*g**2 - 5. Let l(i) be the second derivative of -1/5*i**5 - 5 + i**2 + 0*i**3 - 1/6*i**4 + 2*i. Calculate 2*b(u) + 5*l(u). -6*u**3 Let k = 2025 - 2023. Let b(r) be the first derivative of r**3 + 22 - 7/4*r**4 + 0*r**k - 3*r. Let y(f) = 34*f**3 - 14*f**2 + 14. Calculate -14*b(d) - 3*y(d). -4*d**3 Suppose z - 15 = -12. Let d(u) = -z + 14 - 9. Let q(t) = -6*t - 7. Let p(n) = 7*n + 7. Let a(o) = 5*p(o) + 6*q(o). Calculate -4*a(b) - 14*d(b). 4*b Let j(c) = 7*c**2 + 2. Let m(s) = -209*s + 1050. Let v be m(5). Let y(a) = 14*a**2 + 5. Calculate v*j(l) - 2*y(l). 7*l**2 Let r(a) = 2*a**3 - 16*a**2 - 141*a + 8. Let d(z) = -5*z**3 + 47*z**2 + 425*z - 22. What is -4*d(t) - 11*r(t)? -2*t**3 - 12*t**2 - 149*t Let x(y) = 10*y**3 + 5*y**2 + 8*y - 47. Let l(g) = -2*g**3 - g**2 - g + 9. Give 11*l(q) + 2*x(q). -2*q**3 - q**2 + 5*q + 5 Let c(v) = -v - 3. Let q(y) be the third derivative of 0 + y**2 - 18*y + 1/24*y**4 + 0*y**3. Determine -c(s) - 3*q(s). -2*s + 3 Suppose 4*y = 3*y + 4*c + 105, 4*c + 396 = 4*y. Let j = 98 - y. Let m(v) = v**2 - 1. Let q(n) = 6*n**2 + n - 5. What is j*q(r) - 5*m(r)? r**2 + r Let y(z) = -9*z**2 - 13*z - 1. Let p be 14 - -7*(-171)/133. Let f(b) = 4*b**2 + 6*b + 1. Give p*f(w) + 2*y(w). 2*w**2 + 4*w + 3 Let b(y) = 24*y + 22. Let d(i) = 8*i + 7. Let k(p) = 24*p**2 - 550*p - 51. Let o be k(23). Give o*b(j) + 16*d(j). 8*j + 2 Let h(c) = 11*c**3 + 5*c**2 + 6*c. Let b(r) = 10*r**3 + 4*r**2 + 5*r. Let t(m) = -189*m - 3965. Let w be t(-21). Determine w*h(x) - 5*b(x). -6*x**3 - x Let r(a) = -6*a + 28. Let n(l) = -4*l + 19. Let k(w) = -4*n(w) + 3*r(w).
{ "pile_set_name": "DM Mathematics" }
1. Let h(y) = 5*y - 14. Let b(k) = -h(k) + 4*q(k). Let z be b(6). Suppose -4*m + 104 = -2*s, 8*m + z*s = 3*m + 143. Is m a multiple of 12? False Let c be -7 + -448 - -1 - -3. Let s = 753 + c. Is s a multiple of 32? False Let b(c) = -c**3 + 4*c**2 - 11*c + 44. Let a(r) = 3*r**3 - 13*r**2 + 33*r - 131. Let u(j) = 4*a(j) + 11*b(j). Does 16 divide u(8)? True Let o be -95 - (-3 + -3)/(-2). Suppose -600 - 180 = 10*b. Let j = b - o. Does 5 divide j? True Let t = 1874 + 7765. Does 21 divide t? True Let a be (2 - -2) + (-9)/((-27)/12). Suppose -7809 = a*i - 27*i. Is i a multiple of 22? False Let w(a) = 15*a + 17. Let i be w(6). Suppose 73 = -2*g - i. Let r = 156 + g. Does 33 divide r? True Let j(r) = 2992*r**2 - 223*r + 221. Is 19 a factor of j(1)? False Let x(t) = t + 2. Let k be x(-2). Suppose k*a = p - a - 9, 2*p - 4*a - 20 = 0. Does 6 divide 22/p - 2 - (-133)/4? False Let l = 37702 - 10906. Does 13 divide l? False Suppose 0 = -456*l + 464*l + 4144. Let i = l - -599. Is 27 a factor of i? True Let v = 71 - 68. Let l(i) = -i**2 + 1. Let q(t) = 3*t**2 + 7*t - 25. Let z(f) = -4*l(f) - q(f). Does 9 divide z(v)? True Let c be 176/84 + (-32)/336. Does 13 divide (-1 + c + -20)/((-11)/176)? False Suppose 541 = 4*t - 715. Let q(s) = -22*s - 10. Let m be q(9). Let n = t + m. Does 11 divide n? False Suppose -x - 81*x - 25*x + 107214 = 0. Does 2 divide x? True Suppose -134*g = -5*y - 137*g + 721, -4*y - 5*g + 595 = 0. Is 4 a factor of y? True Let l = 5807 - 2692. Suppose 34*g = 41*g - l. Is 23 a factor of g? False Is (-1)/13 + 81942/39 a multiple of 11? True Suppose -12*h + 33 = -9*h. Let s(w) = 5*w**3 + 51*w**2 - 24*w + 49. Let b(d) = d**3 + 10*d**2 - 5*d + 10. Let v(o) = h*b(o) - 2*s(o). Does 22 divide v(-7)? True Suppose 3*w - 4 = -h, -h + 2*h + 2 = 0. Let l(o) = 27*o + 4. Is 2 a factor of l(w)? True Let x(r) = 15793*r + 229. Is x(2) a multiple of 315? True Let q = -31 + 28. Let g be ((-27)/(-3))/q*(-376)/3. Suppose 0 = 12*n - 548 - g. Is 11 a factor of n? True Let v(o) = -3*o**3 + 144*o**2 + 99*o + 167. Let z(c) = c**3 - 48*c**2 - 33*c - 56. Let x(k) = 2*v(k) + 7*z(k). Does 33 divide x(49)? True Let u(b) = -10*b - 48. Let t be u(-6). Let z(l) = l**2 + 8*l - 7. Is 46 a factor of z(t)? False Let b(p) = 20*p**2 - 169*p - 62. Is 40 a factor of b(10)? False Let y = -269 + 384. Suppose 0 = 12*g - 749 - y. Is 8 a factor of g? True Let i(s) = 5*s**2 + s + 15. Let l(a) = -17*a**2 - 6*a - 46. Let o(t) = 7*i(t) + 2*l(t). Is o(-11) even? False Suppose 26*a = 200255 - 42799. Is 82 a factor of a? False Let f be -1 + (-47)/(-7) + 40/140. Is (-434)/21*f/4*-1 a multiple of 20? False Suppose 2*v + 5*p - 11 = 0, -8 = 4*v - 6*v - 2*p. Suppose 3*r - v*f + 5 + 13 = 0, r = -f + 2. Is (316/(-20) - -3)*15/r a multiple of 8? True Let r(h) = -588*h - 443. Does 14 divide r(-5)? False Let m(c) = -c**3 - 7*c**2 + 4*c + 53. Let i be m(-6). Is 54 a factor of 536 + (3 - 0) + (-7)/i? True Let g = -199 + 651. Suppose -448*m = -g*m + 2384. Is 13 a factor of m? False Suppose 7*t - 222864 = -23819. Does 30 divide t? False Suppose 55*p - 56*p + 13584 = 2*q, 4*q - 5*p - 27196 = 0. Is q a multiple of 76? False Let f(p) = -124*p - 362. Is 22 a factor of f(-54)? False Suppose -6 = 2*o + 4*z, 5 + 16 = 5*o - 2*z. Suppose 5*h + n - 2906 = 0, o*n = -17 + 5. Does 23 divide h? False Let u be 6/(-14) - (-7)/((-98)/(-1350)). Suppose -y = 0, -2*w = -2*y + 424 - u. Let p = w - -299. Does 15 divide p? True Suppose 2*a = -2*w - 10, 4*w + 4 = 2*a - 4. Does 16 divide (-14 - 25)*(-12)/(0 - a)? False Let o(k) = 301*k + 807. Is o(11) a multiple of 17? False Suppose -5*k = 42*z - 40*z - 21310, -2*k = 2*z - 21322. Is z a multiple of 135? True Is 7624 - 0*11/44 a multiple of 92? False Let n be (-89)/4 - 5/(-20). Let b be n*34*(-5)/10. Suppose 4*x + 4*o = 452, -x - b = -4*x + 4*o. Is x a multiple of 23? False Let d(i) = -4*i - 64. Let b be d(-11). Is b/(-90) + 939/27 a multiple of 7? True Let u = 23 - 29. Let a be 5 + u - (-3 - 2). Suppose -12 - 76 = -a*h. Is h a multiple of 3? False Suppose 3*n + 216 = 5*n. Suppose -15*k + n = -14*k. Let g = 162 - k. Is g a multiple of 9? True Let t(m) = m**3 + 8*m**2 - 19*m + 13. Let o be t(-10). Suppose 0*q + 104 = 5*x + 4*q, -q = o*x - 61. Is 5 a factor of x? True Let u = -752 - -8320. Is u a multiple of 44? True Is 118 a factor of 118*(-13)/52*-106? False Let n = 286 + -466. Does 8 divide (6 + n/42)*(-42)/(-3)? True Let s(f) be the third derivative of -29/6*f**3 + 1/4*f**5 + 28 + 2*f**2 + 0*f - 1/120*f**6 + 5/8*f**4. Is s(15) a multiple of 14? True Suppose 0 = -4*g + 16, -13*i - 3*g = -11*i - 13374. Is i a multiple of 9? False Suppose 0 = -p - 3*x + 344, -5*p + x + 1720 = 5*x. Suppose 28*v + 2250 = -2846. Let r = p + v. Does 11 divide r? False Let d be (-4 - (-1 - 3))/5 - 469. Let a = d - -691. Is 6 a factor of a? True Let i = 42 + -84. Let l = 42 + i. Suppose 2*u + 3*d - 66 = l, 2*d = 7*d - 10. Is u a multiple of 3? True Let w be 43121/26 - (2/4 + -1). Is 22 a factor of w/4 + 3 - 11/(-44)? True Suppose 34 - 114 = -16*u. Suppose -g + o + 1601 = 2*g, u*o = g - 543. Is g a multiple of 12? False Suppose 0 = -y + 3*f - 5 - 4, 3*f = 4*y + 9. Suppose -5*x - 2*p + 87 = 0, y = x + 3*x + 2*p - 68. Let r = x + -8. Is r a multiple of 2? False Let d = 0 + 3. Suppose d*n - 4*l = -6, -2*l = -0*n - 4*n + 2. Suppose -5*r + c + 128 = -3*c, 5*r + n*c = 146. Does 5 divide r? False Let h(d) = d**3 - 10*d**2 + 8*d + 9. Let j be h(9). Suppose -10*i + 6*i + 12 = j. Suppose -5*l + u = -u - 804, -i*l = 5*u - 470. Is 32 a factor of l? True Suppose 27*z - 177165 - 105399 = -31059. Is 69 a factor of z? True Suppose -5083 = -6*n + 14069. Does 12 divide n? True Let a be (-25)/5 - (-30)/3. Suppose -a*q = 16 + 29. Let f(c) = 2*c + 51. Is f(q) a multiple of 11? True Let n = -383 + 1193. Suppose -2*u + n = -q + 4*q, -u - 3*q = -411. Is u a multiple of 57? True Suppose -4*m + 9 = -0*y - y, 3*y = -5*m + 24. Suppose 0 = y*j - 2*j - 288. Suppose 4*t = j - 32. Is 10 a factor of t? False Suppose -5*s - 9 - 21 = 0. Let d(y) = -y**3 - 2*y**2 - 15*y - 18. Let t be d(s). Let m = t - 88. Does 24 divide m? False Suppose 3*w = -4*x + 16, 9*w - 12 = 7*w - 2*x. Let c(g) = -g + 63. Is c(w) a multiple of 11? True Let g(x) = 2*x**3 - 4*x**2 + 20*x - 7. Let i(j) = 3*j**3 - 4*j**2 + 20*j - 7. Let y(m) = -4*g(m) + 3*i(m). Let t be y(-7). Does 43 divide 285 + t - (-42)/14? False Let o(w) be the second derivative of 56*w**5/5 - w**4/6 + w**3/3 - 46*w + 2. Is 28 a factor of o(1)? True Let d be 4 + 3 + 1 + -2. Let i be d/(-2)*(-2 + 4). Is -28*(-8)/((-32)/i) a multiple of 14? True Let k(g) = -582*g**2 + 9*g + 8. Let s be k(-1). Does 10 divide (-2)/(-4) + s/(-2)? False Let w(f) = -11*f**2 - 4*f + 22. Let k be w(0). Suppose -4*m + 123 = 371. Let t = k - m. Is t a multiple of 12? True Is (8495775/(-120))/(-15) - (3/(-8))/3 a multiple of 20? True Let x = 13681 - 6646. Does 47 divide x? False Suppose -17*q + 7751 = -5305. Does 22 divide 9/(-2 + 1554/q)? False Let k = -9875 - -18821. Is k a multiple of 63? True Suppose 45544 = -45*a + 212494. Is 106 a factor of a? True Suppose -y + 208980 = -0*y + 17*y. Is 137 a factor of y? False Let i(u) = -7*u**2 + 8*u - 11. Let d(k) = -11*k**2 + 12*k - 16. Let t(w) = -w**2 + 1. Let q be t(-3). Let m(c) = q*i(c) + 5*d(c). Is m(10) a multiple of 8? False Suppose 3*n + z - 1855 = -175, 1112 = 2*n - 2*z. Is n a multiple of 13? True Suppose -21*k - 7131 - 5553 = 0. Let s = k + 1684. Is s a multiple of 30? True Suppose 0 = -5*m - 4*z + 54170, -876*m = -875*m + 3*z - 10845. Is 10 a factor of m? True Suppose -2*x = 2*c - 160, -3*c + 0*c = -12. Suppose x = -3*f - 89. Let s = f + 73. Is s a multiple of 18? True Let s = 3276 + -1129. Is s a multiple of 19? True Let z(c) = -3*c**2 - 11*c - 8. Let o be z(-2). Suppose -h + 12 = -5*n, h + n - 12 = 2*n. Suppose -h*x + o*x + 2210 = 0. Is x a multiple of 13? True Suppose 2*j - 185486 = -5*t, 129383 = 3*t - 5*j + 18048. Does 106 divide t? True Let y(f) be the second derivative of 5*f**3/6 - 5*f**2/2 + f. Let d(k) = 3*k**2 + 7*k + 8. Let r be d(-1). Is 5 a factor of y(r)? True Let o be (-2)/(((-15)/6)/5). Suppose -2*d - 30 = -2*f, -13 - 5 = -2*f - o*d. Suppose f*h - 170 = 8*h. Is h a multiple of 10? False Let a = -102 + 88. Let r be 90/21 + (-3 - 38/a). Suppose r*l - l + 25
{ "pile_set_name": "DM Mathematics" }
) + (-6270)/2280. Determine r*z(v) - 7*b(v). 8*v - 2 Let p(f) = -f**3 - 2*f**2 - 7*f + 3. Let n(s) = -5*s**2 + 5 + 6 - 20*s + 44*s**3 - 23*s**3 - 24*s**3 - 3. Give 4*n(l) - 11*p(l). -l**3 + 2*l**2 - 3*l - 1 Suppose -162*t + 46 = -116. Let q(w) = -w - 1. Let f(c) = -14*c + 8. Calculate t*f(i) + 6*q(i). -20*i + 2 Let f(q) = -2576*q**2 + 207. Let p(u) be the third derivative of -5*u**5/12 + u**3/3 - 537*u**2 + 2*u. Determine 2*f(m) - 207*p(m). 23*m**2 Let g(l) = -6*l**3 - l**2 - 35*l - 62. Let q(m) = 5*m**3 + 2*m**2 + 35*m + 93. Calculate -3*g(o) - 2*q(o). 8*o**3 - o**2 + 35*o Let l(s) = 89*s + 58. Let k(o) = 27*o - 1. Determine -3*k(b) + l(b). 8*b + 61 Let z(t) = -58*t**3 + 4*t**2 + 2*t + 31. Let j(y) = 57*y**3 - 3*y**2 - 2*y - 25. What is 5*j(n) + 4*z(n)? 53*n**3 + n**2 - 2*n - 1 Let n(c) = -c**2 - c. Let q(r) = 7*r**3 + 21*r**2 + 21*r. Let f(z) = -z**2 - 25*z + 60. Let v be f(-28). Let i = 25 + v. What is i*q(h) + 21*n(h)? 7*h**3 Let o(l) = -4*l + 1020. Let b(j) = -3*j + 1022. Give -5*b(x) + 4*o(x). -x - 1030 Let p(b) = b**2. Let m(j) = -3*j + 503*j**2 - 1051*j**2 + 3*j + 510*j**2. What is m(a) + 76*p(a)? 38*a**2 Let y(q) = -q - 2. Let l(w) be the third derivative of -w**4/24 + w**3/6 - 1528*w**2. Give -2*l(j) + y(j). j - 4 Suppose 482 + 73 + 411 = -138*t. Let z(v) = 4*v**3 + 2*v**2 + 2*v + 3. Let l(s) = 12*s**3 + 6*s**2 + 7*s + 9. What is t*z(q) + 2*l(q)? -4*q**3 - 2*q**2 - 3 Let w(l) = 11*l + 581. Let c(m) = -24*m - 1164. Calculate 6*c(q) + 13*w(q). -q + 569 Let h(q) = -11*q - 1. Suppose 11*w - 22*w - 10 - 12 = 0. Let m(x) = -43*x - 4. Determine w*m(j) + 9*h(j). -13*j - 1 Let x(o) = -8*o**3 + 66*o**2 + o - 637. Let j(l) = 7*l**3 - 44*l**2 + 636. Give -3*j(m) - 2*x(m). -5*m**3 - 2*m - 634 Let t(g) = -12*g**2 + 12. Let i(c) = -47*c**2 + c + 45. Let d(s) = -6*i(s) + 22*t(s). Let z(b) = -18*b**2 + 5*b + 5. Calculate -5*d(m) - 6*z(m). 18*m**2 Let q(i) = -153*i**3 + 45*i**2 + 45*i + 45. Let z(k) = -2 - 22*k + 7*k**3 + 49*k - 9*k - 2*k**2 - 20*k. What is -4*q(o) - 90*z(o)? -18*o**3 Let z(q) = 386*q - 39. Let i(w) = 383*w - 35. Determine -8*i(b) + 7*z(b). -362*b + 7 Let b(j) = -32*j**2 + 6*j + 10. Let o(d) = 43*d**2 - 8*d - 14. Determine 9*b(m) + 7*o(m). 13*m**2 - 2*m - 8 Let s(t) = -2 + t + 2. Let o(g) = g - 1. Let c(i) = i**2 - i - 14. Let v be c(5). Suppose 19*a = -v - 13. Calculate a*o(y) + 4*s(y). 3*y + 1 Let r(f) = -353*f - 9. Let l(m) = 193*m + 5. Let h(k) = 11*l(k) + 6*r(k). Let i(b) = -6*b - 1. Determine -3*h(q) - 4*i(q). 9*q + 1 Suppose -479*r + 484*r = 3*i + 22, 3*r - 18 = 3*i. Let d(x) = -5*x + 3. Let q(u) = -11*u + 7. Let m(k) = -6*k + 1. Let n be m(1). What is n*d(j) + r*q(j)? 3*j - 1 Let g(w) = -441*w**2 - 54*w - 8. Let o(t) = t**2 + 10*t + 1. Calculate -g(y) - 6*o(y). 435*y**2 - 6*y + 2 Let a(o) = 1868*o**3 + 3*o + 1. Let c(p) = 3733*p**3 + 5*p + 1. Calculate 5*a(d) - 3*c(d). -1859*d**3 + 2 Let k(m) = 4*m - 6. Suppose 14*c = 12*c - 6. Let u(r) = 2*r**2 - 3*r + 2. Let q(b) = -b**2 + 1. Let w(l) = 3*q(l) + u(l). What is c*k(p) - 4*w(p)? 4*p**2 - 2 Let u(c) = -c**3 + c**2 + 10*c - 19. Let d be u(2). Let g(m) = -11*m**3 - 13*m**2 - 9*m - 4. Let a(p) = -5*p**3 - 6*p**2 - 4*p - 2. Give d*g(i) + 7*a(i). -2*i**3 - 3*i**2 - i - 2 Let g = -3995 + 3994. Let x(k) = -2. Let u(s) = 5. Let b(z) = -3*u(z) - 7*x(z). Let m(q) = 2*q - 7 + 1 + 1. Calculate g*m(y) + 4*b(y). -2*y + 1 Let z be ((10 - 9) + -3)/((-6)/(-21)). Let c(m) = 9*m**3 + 7*m**2 + 16*m - 10. Let v(f) = -6*f**3 - 5*f**2 - 11*f + 7. Give z*v(o) - 5*c(o). -3*o**3 - 3*o + 1 Let r(c) = 3*c**3 + c + 1. Let t(q) = -q**3 - 1. Let m(i) = -i**2 + 101*i - 1291. Let n be m(15). Determine n*r(o) - 6*t(o). 3*o**3 - o + 5 Let d(q) = -3*q + 12. Let g(t) = -t + 3. Let l(n) = n**2 + 1056*n + 2112. Let j be l(-2). Determine j*d(p) - 15*g(p). 3*p + 3 Let u(v) = 4*v - 2. Let b = -131 + 134. Suppose -3*m + 30 = b*m. Let c(s) = -s - 1. Give m*c(r) + u(r). -r - 7 Let j(p) = p**2 - 19*p - 1. Let c(l) = -2736*l**2 + 47652*l + 2508. Calculate -c(g) - 2508*j(g). 228*g**2 Let h(u) = 21*u**3 - 10*u**2 - 6*u + 22. Let w(a) = 40*a**3 - 19*a**2 - 10*a + 30. What is -5*h(o) + 3*w(o)? 15*o**3 - 7*o**2 - 20 Let j(z) = 8*z**3 + z**2 + z. Let d(w) = -23720*w**3 - 2372*w**2 - 2372*w. Give -d(c) - 2372*j(c). 4744*c**3 Let x(g) = 2*g + 1. Let a = -375 - -367. Let t(w) = -5*w - 1. Let j(l) = a*x(l) - 3*t(l). Let v(u) = 3*u + 15. Determine -8*j(p) - 3*v(p). -p - 5 Let b be ((-26)/(-39))/((-4)/30). Let t(p) = p**2. Let o(a) be the first derivative of -1/4*a**4 + 0*a - 4/3*a**3 - a**2 - 4. Determine b*t(c) - o(c). c**3 - c**2 + 2*c Let x(h) = -h**3 + 3*h**2 + 1. Let s(y) be the first derivative of -y**4/2 + 2*y**3/3 + y**2/2 + 2*y + 10836. What is 2*s(g) - 3*x(g)? -g**3 - 5*g**2 + 2*g + 1 Let d(t) = -40*t**3 + 6*t**2 + 6*t + 6. Let j(f) = -f**2 - f - 1. Suppose 50 = -23*i + 27. What is i*d(x) - 6*j(x)? 40*x**3 Let w(l) = -4*l**2 - 6*l + 43. Let n(x) = -5*x**2 - 7*x + 42. Let o = -26463 - -26457. What is o*n(i) + 7*w(i)? 2*i**2 + 49 Let f(g) = -g - 4. Let s(o) = 1. Let p be (-4*(-3)/36)/((-15)/(-90)). Give p*s(a) - f(a). a + 6 Let y(f) = 13*f**2 + 4*f - 6. Suppose -4*w = 8, -36*r - w - 12 = -34*r. Let j(u) = u**2 + u - 1. Determine r*j(m) + y(m). 8*m**2 - m - 1 Let a(l) = -1. Let t(g) = g + 1. Let n be ((-3)/(-9))/(2/102). Let k = -16 + n. Determine k*t(p) + 5*a(p). p - 4 Let p(o) = -14*o**3 - 3*o**2 - 30*o - 5. Let h(b) = -15*b**3 - 4*b**2 - 29*b - 5. What is -3*h(g) + 4*p(g)? -11*g**3 - 33*g - 5 Let s(p) = -12*p**3 + 3*p**2 + 4*p. Let c(h) = 14*h**3 - 3*h**2 - 4*h. Determine -5*c(d) - 6*s(d). 2*d**3 - 3*d**2 - 4*d Let d(j) be the second derivative of -j**5/20 + j**4/3 + 2*j**2 - j. Suppose 13*p + 12421 = 12460. Let b(q) = q**2 + 1. Calculate p*b(v) - d(v). v**3 - v**2 - 1 Let f(t) = 5*t**2 + 2*t. Suppose -5*b - 41 = -11. Let l be b/9*36/(-8). Let p(s) = -4*s**2 - l*s**2 - 3*s**2 - 5*s. Determine 5*f(v) + 2*p(v). 5*v**2 Let y(b) = -b**2 + 4*b - 2. Let g(u) be the second derivative of -u**4/6 + 5*u**3/6 - 3*u**2/2 + 5152*u. Give 2*g(k) - 3*y(k). -k**2 - 2*k Let d(y) = 2*y + 133 - 116 + 0*y + y + 9*y**2 + 6*y**2. Let h(i) = -5*i**2 - i - 6. Calculate 6*d(a) + 17*h(a). 5*a**2 + a Let m(t) = 4*t**2 - 9*t + 4. Let b(h) = h**2 + h + 1. Suppose -13*z = 188 - 38 - 85. What is z*b(u) + m(u)? -u**2 - 14*u - 1 Let a(b) = 2*b + 1. Let v(t) be the first derivative of -t**3/3 - t**2 - 2*t + 5502. Give 6*a(f) + 5*v(f). -5*f**2 + 2*f - 4 Let l(c) = -668*c + 36. Let u(m) = -36*m - 1. Determine l(w) - 16*u(w). -92*w + 52 Let r(j) = 215*j**3 + 129*j**2 + 129*j + 258. Let z(g) = -2*g**3 - g**2 - g - 2. What is r(q) + 129*z(q)? -43*q**3 Let w be 310/3*(-45)/(-75). Let b(d) = -31*d**3 - 3*d**2 + 3. Let a(q) = -651*q**3 - 62*q**2 + 62. Determine w*b(x) - 3*a(x). 31*x**3 Let n(t) = -3*t**3 - 40*t**2 - 2. Let y(x) = -3*x**3 - 38*x**2 - 2. Calculate 5*n(v) - 4*y(v). -3*v**3 - 48*v**2 - 2 Let z(r) = -3*r + 12*r + 5*r + 35 - 3*r. Let g(h) = h + 4. Let a(p) = -36*g(p) + 4*z(p). Let u(j) = -4 - 5 + 23*j - 6*j. Give 13*a(w) - 6*u(w). 2*w + 2 Let f(z) = -17*z. Let h(q) = 13*q - 4. Let w(v) = -27*v + 9. Let x(j) = 9*h(j) + 4*w(j). Suppose 0 = -2*d + 6*d + 28. Let n = 6 + -10. What is d*x(s) + n*f(s)? 5*s Let s(h) = -102*h**3 - 2*h**2 - 13*h + 6. Let u(o) = -510*o**3 - 11*o**2 - 71*o + 31. What is -11*s(l) + 2*u(l)? 102*l**3 + l - 4 Let j(w) = 7*w**3 + w**2 - w + 4. Suppose -5*g - 4*o - 37 = 0, -293*o + 2 = -g - 292*o. Let l(u) = -13*u**3 - 2*u**2 + 3*u - 7. What is g*j(i) - 3*l(i)? 4*i**3 + i**2 - 4*i + 1 Let i(m) = 3*m**3 - 4*m**2 + 4*m + 1. Let l(f) = 2*f**3 - 3*f**2 + 3*f. Let u = -12 + 28. Let k = 14 + u. Let q = k + -27. Calculate q*i(w) - 4*l(w). w**3 + 3 Let v(o) = -17*o**2 + 9*o - 2. Let p(w) = 8*w**2 - 4*w + 1. Let f be ((-118)/(-4))/((-18)/(-72)). Let k = f + -124. What is k*v(r) - 14*p(r)? -10*r**2 + 2*r - 2 Let c(t) = t**3 + 3*t**2 + 3*t - 1. Let w(p) = -3*p**3 - 13*p**2 - 15*p + 13. What is 5*c(k) + w(k)? 2*k**3 + 2*k**2 + 8 Let x(f) = -13*f**3 + 24*f**2 - 5*f - 5643. Let t(p) = -8*p**3 + 15*p**2 - 3*p - 3763. Determine 8*t(g) - 5*x(g). g**3 + g - 1889 Let r(u) = -2*u**2 + 8*u + 2. Let p(j) = -7*j**2 - 5263*j + 5. What is p(c) - 3*r(c)? -c**2 - 5287*c - 1 Let p(s) = -7*s**2 - 38*s - 6. Let i(c) = 15*c**2 + 84*c + 14. Let g(k) = -6*i(k) - 13*p(k
{ "pile_set_name": "DM Mathematics" }
(r) = 5*r**2 - 74. Let w(c) = 7*c. Determine b(w(q)). 245*q**2 - 74 Let b(f) = -f. Let q(s) = 121*s. What is q(b(d))? -121*d Let x(k) = 2*k. Suppose 0*n + 30 = 5*n. Suppose m - n = -1. Let g(l) = -5*l**2 + m*l**2 + 2*l**2. Determine g(x(y)). 8*y**2 Suppose -l = -2 - 2. Let r(c) = -l*c + 2*c + c. Let s(j) = -2*j. What is s(r(h))? 2*h Let a(p) = p**2 + 40*p. Let x(w) = -26*w. Calculate x(a(f)). -26*f**2 - 1040*f Let p(f) = f. Let z(x) = 71*x - 18*x + 30 - 27*x - 25*x. Determine z(p(c)). c + 30 Let u(v) = 0 + v + 0. Let p(z) = -75*z - z**2 + 75*z. Give p(u(s)). -s**2 Let t(b) = 2*b**2. Let h(p) be the second derivative of -5*p**4/3 + 5*p. Give t(h(o)). 800*o**4 Let v(g) = 3*g. Let x(q) = -7*q**2 - 91. Determine x(v(d)). -63*d**2 - 91 Let d(k) = k. Let n(i) = i**2. Let c(s) = -4*s**2. Let b(u) = -c(u) - 2*n(u). Determine b(d(q)). 2*q**2 Let n(t) = 28*t**2 + 1. Let g(z) = -7*z**2. Give g(n(b)). -5488*b**4 - 392*b**2 - 7 Let w(l) = -l**2. Let z(o) = -1. Let g(p) = -p + 1. Let k(x) = 13*x - 3. Let q(u) = -6*g(u) - k(u). Let s(t) = -q(t) + 3*z(t). Determine s(w(r)). -7*r**2 Let a(q) be the first derivative of -1 - 1/2*q**2 + 0*q. Let z(h) be the first derivative of h**3/3 + 6. Give z(a(i)). i**2 Let n(m) = -2*m. Let v(b) be the second derivative of 11*b**6/720 - 7*b**4/12 - 8*b. Let g(z) be the third derivative of v(z). What is g(n(o))? -22*o Let p(t) = 5*t**2. Let v(s) be the first derivative of -s**2/2 - 5. Calculate v(p(u)). -5*u**2 Let p(c) = -2*c - 5. Let k(y) = -y - 2. Let b(r) = -5*k(r) + 2*p(r). Let l(i) = 0*i - 2*i + i. Give b(l(z)). -z Let f(o) = -2*o**2 - 10*o + 10. Let d(u) = u - 1. Let i(c) = -10*d(c) - f(c). Let g(b) be the first derivative of -b**3 + 2. Calculate g(i(j)). -12*j**4 Let q(c) be the first derivative of 2*c**3/3 + 14. Let v(f) = 5*f. Determine v(q(r)). 10*r**2 Let q(w) be the second derivative of w**5/6 - w**2 - 6*w. Let h(n) be the first derivative of q(n). Let s(y) = -2*y**2. Calculate s(h(a)). -200*a**4 Let j(f) = 3*f**2. Let c(o) = -o**2 + 6. Let h(i) = 5. Let t(d) = 5*c(d) - 6*h(d). What is j(t(x))? 75*x**4 Let y(v) = -v**2 + v - v. Let f(g) be the third derivative of g**4/12 - 8*g**2. Give f(y(c)). -2*c**2 Let t(z) = -11*z**2 + 9*z**2 + 0*z**2 + 5*z**2. Let f(w) = -3*w**2. Determine f(t(p)). -27*p**4 Let c(q) = 9*q - 17. Let k(y) be the second derivative of y**3/6 - y**2 - y. Let u(s) = 6*c(s) - 51*k(s). Let j(z) = 2*z**2. Determine j(u(a)). 18*a**2 Let h(m) = 6653*m. Let n(o) = o**2. Give h(n(u)). 6653*u**2 Let l(o) = o**2 + 2*o - 2*o. Let y(x) be the third derivative of 5*x**4/24 + 10*x**2. Calculate y(l(r)). 5*r**2 Let a(p) = -2*p**2. Let i(y) = -9*y - 17. Determine a(i(n)). -162*n**2 - 612*n - 578 Let x(h) be the first derivative of 0*h**2 + 2/3*h**3 - 1 + 0*h. Let r(v) = -6*v**2. Give r(x(m)). -24*m**4 Let g(u) = 2*u. Let d(w) = w - 857. Calculate g(d(t)). 2*t - 1714 Let j(s) = -10*s - 2. Let c(a) = -283*a**2. Determine c(j(f)). -28300*f**2 - 11320*f - 1132 Let b(h) = h. Let w(c) be the first derivative of -2*c**3 + 20. Give b(w(k)). -6*k**2 Let m(y) = 2*y**2. Let u = 9 + -13. Let c be 0/u*(-1)/2. Let j(q) = -4*q**2 + 0*q**2 + c*q**2. Calculate j(m(d)). -16*d**4 Let w(j) = -21*j**2 + 3. Let l(y) = 48*y**2. Determine w(l(k)). -48384*k**4 + 3 Let c(n) = 3*n**2 + n**2 - 2*n**2. Let w(a) = -4*a. Determine w(c(i)). -8*i**2 Let t(g) = -g + 0*g + 0*g. Let d(k) = -1 - 1 + 2 - 2*k. Give d(t(i)). 2*i Let p(q) = -10*q + 4. Let b(l) = 9*l - 3. Let r(n) = 4*b(n) + 3*p(n). Let v(h) = 3*h. Determine r(v(f)). 18*f Let m(f) = 8*f**2. Let z(y) = 7*y**2. Let b(c) = -6*m(c) + 7*z(c). Let x(d) = 2*d**2. What is b(x(l))? 4*l**4 Let c(w) = -4*w**2. Let p(y) = 2*y - 2. Let g(x) = x**2 + 3*x - 3. Let u = -9 + 6. Let r(f) = u*p(f) + 2*g(f). What is r(c(h))? 32*h**4 Let g(r) = 2*r. Let q(c) = 19*c - 72. What is q(g(d))? 38*d - 72 Let d(f) = f + 1. Let z(l) = 2*l**2 - 2*l - 2. Let g(r) = 2*d(r) + z(r). Let p(v) = 8*v. What is p(g(a))? 16*a**2 Let v(x) = -x. Let b(r) be the first derivative of 1 + 2/3*r**3 + 0*r**2 + 0*r. Determine b(v(q)). 2*q**2 Let d(o) = 2*o**2. Let v be (-2)/(-8) - (-9)/12. Let k(f) = 5*f + 6. Let h(q) = q + 1. Let r(u) = v*k(u) - 6*h(u). Determine r(d(i)). -2*i**2 Let h(y) = -16*y + 2*y + 10*y. Let m(s) = -7*s. Give m(h(w)). 28*w Let i(s) = -14*s. Let g(u) = u**2 + 71. What is g(i(m))? 196*m**2 + 71 Let t(d) = -d - 15. Let f(y) = 4*y**2. Calculate t(f(z)). -4*z**2 - 15 Let k(a) = -a**2 - 5*a**2 - 9*a**2 + 12*a**2. Let d(h) = -3*h**2. Calculate k(d(p)). -27*p**4 Let z(l) be the second derivative of -l**3/6 + l. Suppose 3*c + 2*u = 6 - 0, -3*u + 6 = 3*c. Let w(y) = y - 2*y - 3*y + c*y. Give w(z(k)). 2*k Let x(r) = -2*r**2. Let f(l) = -4*l**2 + 3 - 6 + 3. Determine f(x(p)). -16*p**4 Let f(v) = 8*v. Let g(k) = 2*k + 10. Let u(q) = 1. Suppose 0 = d + 5*l - 15, d - 3*l + 35 = 2*l. Let o(b) = d*u(b) + g(b). Determine f(o(t)). 16*t Let c(i) be the third derivative of -i**5/60 - i**2. Let a(v) be the second derivative of -7*v**4/12 - 107*v. Determine a(c(t)). -7*t**4 Let y(z) = z**2 - 43. Let u(j) = 7*j**2. Calculate u(y(q)). 7*q**4 - 602*q**2 + 12943 Let q(a) = 7*a**2. Let j(h) = 3*h. What is q(j(t))? 63*t**2 Let v(i) = -6*i**2. Let p(z) = -7*z**2. Let l(q) = -4*p(q) + 5*v(q). Let s(b) = -9*b. Determine s(l(g)). 18*g**2 Let p(a) be the second derivative of a**4/12 - 2*a. Suppose 0*n - u + 6 = n, -2*u = -4*n + 30. Let c(k) = n*k**2 - 5*k**2 + 2*k**2. Determine c(p(y)). 4*y**4 Let n(h) = -4 + 4 - 40*h. Let u(d) = d. Determine n(u(g)). -40*g Let l(s) = 4*s**2. Let m = 20 + -28. Let f(a) = -a - 6. Let i be f(m). Let h(c) = 2*c**2 - 5*c**2 + i*c**2. Calculate h(l(o)). -16*o**4 Let i(k) = -k + 1. Let n(d) = -5*d + 6. Let f(v) = -6*i(v) + n(v). Let b(r) be the third derivative of -r**4/12 + 2*r**2. What is b(f(o))? -2*o Let r(d) = -d - 72. Let j(t) = -2*t**2. What is r(j(x))? 2*x**2 - 72 Let x(a) = 6*a**2 - 9*a - 9. Let v(n) = 3*n**2 - 4*n - 4. Let m(o) = -9*v(o) + 4*x(o). Let y(i) = i**2. Determine y(m(u)). 9*u**4 Let f(s) = -2*s + 12*s + 14*s. Let g(z) = 3*z**2. Determine g(f(m)). 1728*m**2 Let c(g) = -g - 10. Let t(n) = -n + 12. What is t(c(p))? p + 22 Let r(n) = -3*n. Let g(q) = 163*q. Calculate g(r(h)). -489*h Let r(i) = i**2. Let z(d) = 7*d**2 + 8*d**2 - 7*d**2. What is z(r(u))? 8*u**4 Let s(y) = 4*y**2 + 5*y - 5. Let q(x) = 2*x**2 + 2*x - 2. Let w(v) = 5*q(v) - 2*s(v). Let l(z) be the second derivative of z**4/6 - 5*z + 13. Give w(l(d)). 8*d**4 Let h(l) = -l**2. Let c = -7 + 7. Let t(w) = c + 0 + 40*w**2 - 35*w**2. Calculate h(t(s)). -25*s**4 Let j(v) = v**3 + 2*v**2 - 5*v - 3. Let o be j(-3). Suppose -g + 2*g = o. Let a(l) = l**2 - 3 + g. Let y(k) = -k**2. Give y(a(n)). -n**4 Let c(g) be the first derivative of -127*g + 5 - 2*g**2 + 127*g. Let a(l) = -17*l. Let u(y) = 6*y. Let m(r) = -4*a(r) - 11*u(r). Give m(c(z)). -8*z Let k(h) = 3*h**2 - 2. Let i(q) = -q**2. Calculate k(i(z)). 3*z**4 - 2 Let g be (-14)/(-49) - (-12)/7. Let r(w) = w**2 - 5*w**2 + 3*w**g + 3*w**2. Let p(m) = 5*m**2. What is r(p(i))? 50*i**4 Let l(o) = -2*o**2. Let d(w) be the second derivative of 1/6*w**4 + 0 + 0*w**2 + 0*w**3 - 2*w. Give d(l(n)). 8*n**4 Let n(a) = -27*a**2. Let k(v) = 5*v**2. Calculate k(n(o)). 3645*o**4 Let l(n) = -n**2 + 2*n. Let a(f) = f**2 - 3*f. Let h(x) = -4*a(x) - 6*l(x). Let p(j) = -2*j. Calculate h(p(u)). 8*u**2 Let p(l) = l. Let b(j) = j. Let g(w) = 3*b(w) - 5*p(w). Let n(u) = -14*u. Calculate g(n(i)). 28*i Let c(f) = -2*f**2. Let i(h) = -1043 - 8*h**2 + 1043. Give i(c(d)). -32*d**4 Let s(l) = -5*l**2. Let r(m) = 5*m**2 - 4*m**2 + 0*m**2. What is r(s(d))? 25*d**4 Let g(y) = 20*y - 6. Let t(s) = 21*s - 7. Let l(q) = 7*g(q) - 6*t(q). Let f(u) = u. Give f(l(o)). 14*o Let w(r) be the first derivative of -5*r**3/3 - 6. Let u(d) = -2*d. Calculate w(u(p)). -20*p**2 Let z(o) be the first derivative of 4*o**3/3 + 6. Let t(f) = 3*f**2. Give t(z(s)). 48*s**4 Let s(t) = 21*t - 2. Let c(k) = 51*k**2. Calculate c(s(n)). 22491*n**2 - 4284*n + 204 Let r(t) = 50*t**2. Let h(b) = -63*b**2. Give h(r(g)). -157500*g**4 Let u(k) be the second derivative of -k**3/3 + 3*k. Let z(g) = g. Let r(h) = 3*h**2 - 4*h. Let v(a) = r(a) + 4*z(a). Give v(u(d)). 12*d**2 Let q(b) = 3*b**2. Let y(m) = 4*m**2 - 2*m**2 + m**2 - m**2. What is q(y(a))? 12*a**4 Let v
{ "pile_set_name": "DM Mathematics" }
t(80)*-1 + sqrt(35)/sqrt(28))*-5. 30*sqrt(3)/7 Simplify 2 + ((sqrt(567)*1 - sqrt(567))*6*-1)**2 + (sqrt(315)*2)/(sqrt(220)/sqrt(11)). 2 + 3*sqrt(7) Simplify (-6*((((sqrt(288)*-2)/sqrt(8))/(-1*sqrt(48)) + 1)*6 + 3))**2. 3888*sqrt(3) + 6804 Simplify 6*(2*2*5*(2*(-1 + sqrt(605)) + 4))**2. 211200*sqrt(5) + 5817600 Simplify 2*(2 + sqrt(162))*1 - 1*(sqrt(2) + -3 + 4*sqrt(2) + sqrt(2))*1. 7 + 12*sqrt(2) Simplify 1*((sqrt(275)/(sqrt(11)*-1))/((sqrt(40)/sqrt(4))/sqrt(2) - sqrt(5) - sqrt(5)) + (sqrt(45)*1*3)/(sqrt(144)*-1)). sqrt(5)/4 Simplify (-1*(-2*sqrt(2430) - -1*sqrt(120)/sqrt(4)))/((-1*sqrt(2400) - sqrt(24))/(sqrt(576) - (sqrt(576) - 2*sqrt(576)))). -408*sqrt(5)/11 Simplify ((sqrt(475) + (0 + sqrt(475) - sqrt(475)))*4 - ((-4 + 2*sqrt(19) - sqrt(19)) + -1))**2 - ((-4*2*sqrt(95))/(sqrt(80)*5) + -5). 952*sqrt(19)/5 + 6889 Simplify (-4 + ((sqrt(21) - -1*sqrt(21))*2 - -1*sqrt(189))/(sqrt(28)/(sqrt(72)/sqrt(2))))*5. -20 + 105*sqrt(3) Simplify sqrt(136)/sqrt(512) + (sqrt(136)*-3 + sqrt(136))/sqrt(8) + 4 - ((2*sqrt(136)*-4)/(sqrt(1152) - (4*sqrt(1152) - sqrt(1152))))**2. -15*sqrt(17)/8 + 19/9 Simplify 5*1*(5 + sqrt(684) + -1 - (-3 + sqrt(684) + 3))*4. 80 Simplify (2 + 3 + sqrt(1300) + 5 + 2*sqrt(1300) + (2*sqrt(1053)*-4 - sqrt(1053) - sqrt(1053) - (-4 + sqrt(1053) + -3)))**2. -2346*sqrt(13) + 62182 Simplify 5*((4*sqrt(133)*4)/sqrt(7) - (-3*sqrt(95)/sqrt(5) + -2)). 10 + 95*sqrt(19) Simplify (3*(5 + (0 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + 2 + sqrt(2057)*-2 + -1 + 4 + 3))**2*-5. -100170 + 12870*sqrt(17) Simplify ((((1*sqrt(408) - sqrt(408)) + sqrt(408))*1)/((sqrt(108) + sqrt(108)*-1 - sqrt(108) - sqrt(108) - sqrt(108))/sqrt(9)))/(-2*sqrt(162)*2*6). sqrt(17)/648 Simplify (-6*((-1 + (4 + 1 + (-2*sqrt(1377) - sqrt(1377)) + sqrt(1377))*-2)*3 + 0))**2. -256608*sqrt(17) + 7177572 Simplify (sqrt(84)/(-2*sqrt(588) + sqrt(12))*-2 - (-2 + 2 + sqrt(42)/sqrt(6) + 3))**2. 66*sqrt(7)/13 + 2368/169 Simplify sqrt(4032) + -1 + -5 - (-5*sqrt(140)/sqrt(5))/(sqrt(4) + 1*sqrt(144)). -6 + 173*sqrt(7)/7 Simplify ((sqrt(98)*-4 + sqrt(2) - sqrt(4)/(sqrt(16)/sqrt(8))) + (sqrt(98)*4 - -2*sqrt(2)*2))**2. 32 Simplify 5 + ((-3 + sqrt(1100)*-2 - (0 + sqrt(1100) + -1) - (4 + (sqrt(1100) - 4*sqrt(1100)*1)))*4)**2. 581 Simplify (sqrt(99))**2 + 0 + (sqrt(66)*1)/sqrt(6) - (4 + (sqrt(11) + -2*sqrt(11) - sqrt(11)) - (sqrt(165)/sqrt(5))/sqrt(3))**2. -16 + 25*sqrt(11) Simplify (6*(sqrt(8) - 3*sqrt(8)*-3))**2 - (-5*(sqrt(1568) + -2 - sqrt(1568)))**2. 28700 Simplify -2*(4*(sqrt(1053)*-2)**2 - (3 + sqrt(1053) + -1))*5. -168460 + 90*sqrt(13) Simplify ((-3*(sqrt(3200)*1 - sqrt(3200) - sqrt(3200)))/(-2*(sqrt(10) + (sqrt(90) + sqrt(90)*1 - sqrt(10)))) + -4)**2. 16*sqrt(5) + 36 Simplify (((-3*sqrt(2744) + sqrt(2744))*4 - sqrt(2744))*-2)/(-4*(sqrt(8)*-3 + sqrt(8)) + (sqrt(40) - sqrt(40)*-2)/sqrt(5)). 126*sqrt(7)/11 Simplify ((0 + sqrt(539) + 1 - sqrt(539)) + 4 + 0 + 4 + -3 + 5 + 2 + 1)**2. 196 Simplify (((sqrt(80)*1)/sqrt(4) - sqrt(40)/(sqrt(16)/sqrt(8)))/(2*2*-3*sqrt(1440)))**2. 0 Simplify 5*((-1 + sqrt(7) + -4 + sqrt(7) + sqrt(140)/sqrt(5))*2 + 4 + (sqrt(567) + 1)**2 + 2). 130*sqrt(7) + 2820 Simplify -2 + (6*(4 + sqrt(68) + sqrt(68) + sqrt(68) + sqrt(68) + 4 + sqrt(68)))**2 + 1 + 2. 5760*sqrt(17) + 63505 Simplify 2*((2 + 0 + sqrt(112) + sqrt(112)*2 + sqrt(112))**2 + 6*(sqrt(112) - (sqrt(112) + (sqrt(112)*2)**2)) + 3 + sqrt(112)*-1 + -1). -1780 + 120*sqrt(7) Simplify (-2 + sqrt(1100))**2 + 5 + (sqrt(1100) + 0)**2 + -4 + (-2*(sqrt(1100) + -4*sqrt(1100) + -4)*-1)**2. 920*sqrt(11) + 41869 Simplify ((sqrt(175) + ((sqrt(175) - sqrt(175)*-2)*4 - sqrt(175) - sqrt(175)))/(sqrt(20) + sqrt(180) - sqrt(5)))/(sqrt(56)/(5*2*sqrt(2))). 55*sqrt(5)/7 Simplify 4 + ((sqrt(110) + 2*sqrt(110))/sqrt(10) - sqrt(11)) + (sqrt(176)*-1*-4)**2 - (-6*sqrt(1980) + sqrt(55))/(1*sqrt(5)*-6). -23*sqrt(11)/6 + 2820 Simplify -5*(-2 + (-5 + 6*sqrt(1300)*1)*6)**2 + -1. -8429121 + 115200*sqrt(13) Simplify (sqrt(17) + sqrt(187)/sqrt(396) - (-2 + -4*sqrt(17))) + 2 + (sqrt(425) + 3 + -2 + sqrt(425))**2. 151*sqrt(17)/6 + 1705 Simplify (sqrt(238)/(2*sqrt(7)) - sqrt(1224)*1)/((sqrt(84)/(sqrt(12)/sqrt(2)))/(sqrt(189)/sqrt(3))). -33*sqrt(17)/2 Simplify -3*((sqrt(114)/(sqrt(6)/sqrt(27)))/(sqrt(108) + sqrt(108) + sqrt(108) + -2*sqrt(108)))**2*2. -57/2 Simplify 2*((-1 + 0 + 4*(sqrt(567) - ((sqrt(567) - sqrt(567)*2) + 3 + sqrt(567)))*-4 + -1)**2 + -4). -26496*sqrt(7) + 294528 Simplify -5*((-2*sqrt(130)*-2)/sqrt(10) + -5*(sqrt(1053) + 0) + sqrt(1053))*2. 320*sqrt(13) Simplify 5*(3*(sqrt(204) + sqrt(204)*1 + sqrt(204)) + sqrt(204) - sqrt(204))/sqrt(12) - (3 + sqrt(612)*-2 + (2 + sqrt(17))*-4). 5 + 61*sqrt(17) Simplify -1 + ((-1*sqrt(12)/(sqrt(8)/sqrt(2)))**2 + -3 - (5 + (3*sqrt(336))/sqrt(7))). -12*sqrt(3) - 6 Simplify ((-1*sqrt(297))/sqrt(9) - 2*sqrt(3993))/((sqrt(1331) + sqrt(1331)*-1)*-5 + -1*sqrt(1331)*1). 23*sqrt(3)/11 Simplify ((2 + sqrt(171)*-1 - sqrt(171)) + -2)**2 - ((sqrt(19) + -2*sqrt(19))*-4 + (5*sqrt(38)/sqrt(2) - sqrt(19)))**2. -532 Simplify (sqrt(784)*2 - sqrt(49))/(sqrt(847)*3) - (((2*sqrt(63))/sqrt(9) - (2*sqrt(42))/sqrt(6)) + (sqrt(224)/(sqrt(8)*-2))**2). -7 + 7*sqrt(7)/33 Simplify (-3*sqrt(120))/(sqrt(250) - 2*sqrt(250)) - ((sqrt(12)/(sqrt(8)/sqrt(2)) - 6*sqrt(48)) + 2 + sqrt(108)*2)**2. -367 + 226*sqrt(3)/5 Simplify 3 + ((sqrt(54)/sqrt(9)*5)/(1*sqrt(147))*-5)**2. 1397/49 Simplify (6*((sqrt(171) - 5*sqrt(171)*1) + -1*1*sqrt(171) + sqrt(171)))/((sqrt(225) - (sqrt(225) + sqrt(225) + (sqrt(225) - (sqrt(225) - sqrt(225)*5*-6))))*3). -8*sqrt(19)/145 Simplify ((2 + -2*sqrt(192) + sqrt(192) + 1 - 2*(1*sqrt(192) + -4))*4*3)**2. -76032*sqrt(3) + 266256 Simplify (-1*-1*sqrt(117) + sqrt(117) - sqrt(117) - (sqrt(117)*-2*-5 - sqrt(117)))/(sqrt(36)/(sqrt(8)/sqrt(2)) + (sqrt(81) - sqrt(81)*-2)) + 2. -4*sqrt(13)/5 + 2 Simplify (5*sqrt(500) - (sqrt(2880)*3 - sqrt(2880)))/(4*-1*sqrt(90)*6). -sqrt(2)/72 Simplify (2*sqrt(1078)*3 + sqrt(1078) - -4*sqrt(1078)*-3)/((sqrt(12)/sqrt(2)*3)/(sqrt(21)/(sqrt(7)*-1))). 35*sqrt(11)/3 Simplify (sqrt(25) - sqrt(250)/sqrt(90))/((sqrt(30) - sqrt(750))/sqrt(6)) + (2*sqrt(50)/sqrt(5))/(3*sqrt(200) + sqrt(200)) + -2. -2 - 7*sqrt(5)/60 Simplify -2 + (-2 + sqrt(847))**2 + (0 + sqrt(847) + 1)**2 + (sqrt(420)/sqrt(250))/(sqrt(36)/sqrt(6)*-2). -221*sqrt(7)/10 + 1697 Simplify (-6*4*(sqrt(88) - sqrt(88)*-1))/(sqrt(40)/(sqrt(20) + -3*sqrt(20))). 192*sqrt(11) Simplify ((sqrt(50) + sqrt(100)/sqrt(2)*-3)/(sqrt(5) - sqrt(25)/sqrt(45)))/((sqrt(2430)*1)/((sqrt(180)/sqrt(3))/sqrt(10))). -sqrt(2)/3 Simplify ((6*(2*sqrt(153)*3 + sqrt(153) + (sqrt(153) - (-1 + 0 + sqrt(153)))))**2 + 1)*5. 7560*sqrt(17) + 1349645 Simplify (-1*sqrt(153)*-6 + (sqrt(153)*-2*2)**2)*-3 + (-5 + 5 + -2*sqrt(153))**2 + 5. -6727 - 54*sqrt(17) Simplify -4*((sqrt(1088) - (1 + sqrt(1088)))*-6 + sqrt(1088) - ((sqrt(2057) + 1)**2 + sqrt(17) - ((1 + sqrt(17))*3)**2)). -12*sqrt(17) + 7560 Simplify (((5*1*sqrt(490))/sqrt(10)*-2)/(1*(sqrt(7) + sqrt(63)) + (sqrt(7) - (sqrt(567)*2 + sqrt(567) - sqrt(567)))))**2. 700/169 Simplify (1*5*(sqrt(76) + sqrt(76) + sqrt(76)*5*-1 + sqrt(76)))/(-1*(sqrt(324) - sqrt(324)*2) + sqrt(324)*-2*2). 10*sqrt(19)/27 Simplify (-5*sqrt(70)/sqrt(2) + (sqrt(385) - sqrt(385)*3 - sqrt(385))/sqrt(11))/((sqrt(250)/sqrt(5))/sqrt(10) + sqrt(80) + sqrt(80)*2). -8*sqrt(7)/13 Simplify 5*4*sqrt(363) + (sqrt(363) + 4 + sqrt(363) + 0 + sqrt(363) + sqrt(363))**2 - 5*(1 + 1*sqrt(363) - sqrt(363) - (-1 + (sqrt(363) + 0 + sqrt(363))**2)). 572*sqrt(3) + 13074 Simplify 1*(0 + (sqrt(175) - (-1 + sqrt(175))*-4) + 4 + -3*sqrt(175))**2*4. 2800 Simplify (-6*(-1 + (sqrt(5) - (2*sqrt(5) + sqrt(5)))) - -6*(1*sqrt(180) + sqrt(180)))**2 - -2*(4*((sqrt(80)*2 - sqrt(80)) + -2))**2. 496*sqrt(5) + 38004 Simplify ((5*(sqrt(95) - (sqrt(95) + sqrt(95)*2*2)))/(sqrt(180) + 4*sqrt(180)*-3)*2)**2. 7600/1089 Simplify (1*sqrt(108) + sqrt(24)/(sqrt(6)/sqrt(3)))/(1*sqrt(100)*-1 - sqrt(100)*-1*6). 4*sqrt(3)/25 Simplify (-6*(sqrt(560) - (-2*sqrt(560) - sqrt(560)))*-6)/((sqrt(55)*-1)/sqrt(11) + sqrt(5) + (sqrt(5) + (sqrt(5) - (sqrt(45) - sqrt(5))) + sqrt(5))*4) + -4. -4 + 144*sqrt(7) Simplify ((-2*sqrt(121)*6*-6*-4)/(sqrt(176) + (sqrt(176) - -1*sqrt(176)*-4 - sqrt(176)) - (sqrt(176) - (sqrt(176) + -3*sqrt(176)*1))))**2. 1584 Simplify ((2*sqrt(91) - sqrt(91))*1 - (-5*(sqrt(91)*-1 - sqrt(91)
{ "pile_set_name": "DM Mathematics" }
creasing order. -6, -4, -3/2, -0.18 Sort 1/7, -1/3, 0.1. -1/3, 0.1, 1/7 Put 3, 3/8, -32 in descending order. 3, 3/8, -32 Put 2/183, 0.2, -1, 0.4, -12 in descending order. 0.4, 0.2, 2/183, -1, -12 Put -3.3, -3/4, 1 in ascending order. -3.3, -3/4, 1 Sort 0.4, 4, 55. 0.4, 4, 55 Put -6, 5, 127 in decreasing order. 127, 5, -6 Sort -5, -54, 4, 1 in descending order. 4, 1, -5, -54 Sort 5, -14, 254 in decreasing order. 254, 5, -14 Sort 4.8, -2/17, -4, -10. -10, -4, -2/17, 4.8 Put -1, -5, 1425, 1, 4 in decreasing order. 1425, 4, 1, -1, -5 Sort -1, 3, 15/2 in decreasing order. 15/2, 3, -1 Put -5, -1.3, -4, 3 in descending order. 3, -1.3, -4, -5 Sort -3/8, 0.3, -24, 2/17, -0.2 in descending order. 0.3, 2/17, -0.2, -3/8, -24 Put 0.134, 0.4, 2/17 in descending order. 0.4, 0.134, 2/17 Sort 115, 0, 2, 1 in ascending order. 0, 1, 2, 115 Put -1, 6, 19.6 in ascending order. -1, 6, 19.6 Put -1/15, 14, -5 in decreasing order. 14, -1/15, -5 Sort 1, -0.4, -2/19, 4. -0.4, -2/19, 1, 4 Sort 3, -2.2, 2/9, -3 in descending order. 3, 2/9, -2.2, -3 Put 2, 5, 381 in decreasing order. 381, 5, 2 Sort 0, 54/11, 0.1. 0, 0.1, 54/11 Sort 49, 1, -3 in ascending order. -3, 1, 49 Sort 10/3, -0.5, -0.4, 4 in ascending order. -0.5, -0.4, 10/3, 4 Sort 3/5, 4, 1, -12, -2 in descending order. 4, 1, 3/5, -2, -12 Sort -57, 8, 3 in increasing order. -57, 3, 8 Sort -2, -3/11, 33. -2, -3/11, 33 Put 2, -17, 0, -3, -8 in decreasing order. 2, 0, -3, -8, -17 Sort 4, 3, -5, 18. -5, 3, 4, 18 Put -14, 1, -5 in decreasing order. 1, -5, -14 Sort 0.36, 0, 2, -24 in descending order. 2, 0.36, 0, -24 Put -102, 2, -3, 3 in descending order. 3, 2, -3, -102 Put -2, 2, 1, -27 in decreasing order. 2, 1, -2, -27 Put -5, 11/2, -1 in increasing order. -5, -1, 11/2 Put -4.4, -0.2, -5, 1 in ascending order. -5, -4.4, -0.2, 1 Sort -4, 1, 5, 10 in ascending order. -4, 1, 5, 10 Put -13, 1/7, 1/4 in descending order. 1/4, 1/7, -13 Put 0.53, 5, 2/13, 1 in increasing order. 2/13, 0.53, 1, 5 Sort 0.05, 1, 4/9, 1/3 in decreasing order. 1, 4/9, 1/3, 0.05 Sort -0.68, 2/5, -4, -3, -0.02 in decreasing order. 2/5, -0.02, -0.68, -3, -4 Sort -4, 3, 23. -4, 3, 23 Sort -4, 3, -8, 2 in descending order. 3, 2, -4, -8 Sort -5, -2, -126 in descending order. -2, -5, -126 Put -184, 5, -4 in descending order. 5, -4, -184 Sort 0, -26, -19.5. -26, -19.5, 0 Put 2, -9, 4, 0 in decreasing order. 4, 2, 0, -9 Put 0.03, -5, 0.017 in increasing order. -5, 0.017, 0.03 Put -1/3, 0.4, 1/5, -20, -2 in ascending order. -20, -2, -1/3, 1/5, 0.4 Put 57, 4, -23, -2 in descending order. 57, 4, -2, -23 Put -2, 202, 0, 1 in decreasing order. 202, 1, 0, -2 Put -3/8, -11, -8 in descending order. -3/8, -8, -11 Put 2, 1, -3 in decreasing order. 2, 1, -3 Sort 4, 2, -4, -3 in ascending order. -4, -3, 2, 4 Put -0.2, -3/2, 7.014 in ascending order. -3/2, -0.2, 7.014 Put 0, -5, -158 in increasing order. -158, -5, 0 Sort -5, 0, 1, -2 in descending order. 1, 0, -2, -5 Sort -162, -4, 2. -162, -4, 2 Sort 17, 8, -4 in ascending order. -4, 8, 17 Put 12, 93, -5 in increasing order. -5, 12, 93 Sort -1, -66, 1, -4 in decreasing order. 1, -1, -4, -66 Sort -20, -4, -5, -2 in decreasing order. -2, -4, -5, -20 Sort -6, 3, 71 in decreasing order. 71, 3, -6 Put -8, 3, -1, 2 in descending order. 3, 2, -1, -8 Sort 1, -3, 23 in descending order. 23, 1, -3 Sort -0.3, 10/113, 1/3, 0.04, 1. -0.3, 0.04, 10/113, 1/3, 1 Sort 5, 0, -2/9, -1/14, 2 in decreasing order. 5, 2, 0, -1/14, -2/9 Sort 3, -9, 2/9, -4. -9, -4, 2/9, 3 Put 126, 0, -7 in ascending order. -7, 0, 126 Sort -4/9, -3/5, -2282. -2282, -3/5, -4/9 Put 1536, -1, -2, -0.3 in decreasing order. 1536, -0.3, -1, -2 Sort -7, -2, -23, 4 in decreasing order. 4, -2, -7, -23 Put 0, -5, 14, 7/8 in descending order. 14, 7/8, 0, -5 Sort -81, -3, -5 in ascending order. -81, -5, -3 Sort -4, -19, -0.34 in increasing order. -19, -4, -0.34 Sort 5, 2/3, -4, 2066 in decreasing order. 2066, 5, 2/3, -4 Sort 99, -3/5, -1/8, -1/2. -3/5, -1/2, -1/8, 99 Sort -8, 27, 3 in ascending order. -8, 3, 27 Put 2, -4, 1228 in descending order. 1228, 2, -4 Put 1/4, -1, -35, -1/2 in decreasing order. 1/4, -1/2, -1, -35 Sort -3, 3/4, -4/21, 1 in descending order. 1, 3/4, -4/21, -3 Put -4, -8, 1, 0 in descending order. 1, 0, -4, -8 Sort -5, 3, 54, 2, -2. -5, -2, 2, 3, 54 Put 5, 38, 22, 0.5 in descending order. 38, 22, 5, 0.5 Sort -14, -7, 1 in descending order. 1, -7, -14 Sort -80, 5, -4 in ascending order. -80, -4, 5 Sort -5, 2, -223. -223, -5, 2 Sort -2, -0.5, 23, 1, -3 in decreasing order. 23, 1, -0.5, -2, -3 Sort -14, 0, -3, 1, 3. -14, -3, 0, 1, 3 Sort -0.1, 2/11, -1.5, 0.5, 44 in increasing order. -1.5, -0.1, 2/11, 0.5, 44 Sort 3/8, -4/3, -1/5 in descending order. 3/8, -1/5, -4/3 Sort -17, -11, -5, -2 in ascending order. -17, -11, -5, -2 Put 1/5, -4, 1, -0.2 in decreasing order. 1, 1/5, -0.2, -4 Sort -0.4, -0.3, 0.4, 0.1, 12 in increasing order. -0.4, -0.3, 0.1, 0.4, 12 Put 4, 16, -2, -5 in ascending order. -5, -2, 4, 16 Sort 5, -330, 4, -3. -330, -3, 4, 5 Put -4, 3, -5, -2, -1 in descending order. 3, -1, -2, -4, -5 Put 82, 9, -5 in descending order. 82, 9, -5 Sort -14, -0.24, -4/7, -2/5 in decreasing order. -0.24, -2/5, -4/7, -14 Sort 4, -1/18, -5, -1 in decreasing order. 4, -1/18, -1, -5 Sort 3, 4/5, 1/5, -52/5 in decreasing order. 3, 4/5, 1/5, -52/5 Sort 39, -0.2, 2/5. -0.2, 2/5, 39 Sort 8/15, -0.2, 1/10, -0.5, 5 in ascending order. -0.5, -0.2, 1/10, 8/15, 5 Sort 2/29, 2, 0.11, 4 in decreasing order. 4, 2, 0.11, 2/29 Sort 104/9, 2, -2.5. -2.5, 2, 104/9 Sort 8, 14, -0.4, -0.1. -0.4, -0.1, 8, 14 Sort -4, 0, 2, -3, 6. -4, -3, 0, 2, 6 Put -5, -259, -7 in decreasing order. -5, -7, -259 Sort 7, 15, -2. -2, 7, 15 Sort -4, -3, -19, -1. -19, -4, -3, -1 Sort 4, 2/7, -9, 2/3 in descending order. 4, 2/3, 2/7, -9 Put -7, -5, -3, -44 in increasing order. -44, -7, -5, -3 Put 2, 15, 3, 5 in descending order. 15, 5, 3, 2 Put -2, -5, 154, 5 in increasing order. -5, -2, 5, 154 Sort 2/175, -0.3, 2/7 in descending order. 2/7, 2/175, -0.3 Sort -4, 2, 113, 0.4, -0.1 in descending order. 113, 2, 0.4, -0.1, -4 Sort 2/11, 3/10, 0.05, -4, 5 in ascending order. -4, 0.05, 2/11, 3/10, 5 Put -6, -3, 5 in increasing order. -6, -3, 5 Put 13, -26, -1 in descending order. 13, -1, -26 Sort -0.1, -2/13, 17 in ascending order. -2/13, -0.1, 17 Put 0, -1078, -2, 2 in descending order. 2, 0, -2, -1078 Put -2, 74, 1 in descending order. 74, 1, -2 Sort -4, 2, 16, -3 in ascending order. -4, -3, 2, 16 Put -3, 4, -10 in decreasing order. 4, -3, -10 Sort -36, 2, 3, 0, -4. -36, -4, 0, 2, 3 Sort -9, 0, -114. -114, -9, 0 Sort -222, 5, 2. -222, 2, 5 Put -5, 5, 4, 8 in descending order. 8, 5, 4, -5 Sort -4, -8, -16, 2 in decreasing order. 2, -4, -8, -16 Put 2, 0, -48 in decreasing order. 2, 0, -48 Sort -5, -10, 20 in ascending order. -10, -5, 20 Put -4, -16, -2, 50 in ascending order. -16, -4, -2, 50 Put 1, -3, 40 in decreasing order. 40, 1, -3 Sort -1, 298, -4 in decreasing order. 298, -1, -4 Sort 11, 3, 7, -0.3. -0.3, 3, 7, 11 Sort 22, -26, -2. -26, -2, 22 Put -7, -4, -2, 90 in ascending order. -7, -4, -2, 90 Put 1, -8, -2 in descending order. 1, -2, -8 Sort 13/4, -3, -1/2 in ascending order. -3, -1/2, 13/4 Sort 3, -2, 280, -1, 2 in descending order. 280, 3, 2, -1, -2 Sort -1, 190, -6. -6, -1, 190 Put 4, 88, 27 in increasing order. 4, 27, 88 Put 0.4, -5, 5, 61, 0.5 in increasing order. -5, 0.4, 0.5, 5, 61 Sort 2, -4, -5, 7 in ascending order. -5, -4, 2, 7 Sort -5, 10, -4, 2, 4 in increasing order. -5, -4, 2, 4, 10 Put 4, -5, 45 in descending order. 45, 4, -5 Sort 1, 3, -5, 8, -14 in ascending order. -14, -5, 1, 3, 8 Sort 4, 1, -11, -3 in descending order. 4, 1, -3, -11 Sort 4, 2, -61, -8 in decreasing order. 4, 2, -8, -61 Put 5, 1, 256, 2/7 in decreasing order. 256, 5, 1, 2/7 Put -4, 3, 1, -1, 105 in increasing order. -4, -1, 1, 3, 105 Put -16, 2, -4/7, 0 in increasing order. -16, -4/7, 0, 2 Put 1, 4, 223 in decreasing order. 223, 4, 1 Sort -4, -15, -12 in descending order. -4, -12, -15 Sort 2/7, 1.1, 0.7, 1/19 in descending order. 1.1, 0.7, 2/7, 1/19 Put -22, -2, -1, 4 in descending order. 4, -1, -2, -22 Sort -5, 3, -3, 9, 5 in increasing order. -5, -3, 3, 5, 9 Sort 4, 21, -2. -2, 4, 21 Sort 1, -3, -11 in decreasing order. 1, -3, -11 Put 1.2, -0.09, 0, 3 in decreasing order. 3, 1.2, 0, -0.09 Put 3, 32/5,
{ "pile_set_name": "DM Mathematics" }
4.8 rounded to the nearest one hundred? -26700 What is -39348440 rounded to the nearest one million? -39000000 What is -28414480 rounded to the nearest one million? -28000000 What is 0.0000610309 rounded to seven decimal places? 0.000061 Round 100900610 to the nearest one hundred thousand. 100900000 What is -0.00003376451 rounded to 7 decimal places? -0.0000338 Round -2.0402193 to 3 dps. -2.04 What is -3099.736 rounded to the nearest ten? -3100 Round -0.00204291 to four dps. -0.002 What is -0.0003722466 rounded to 7 decimal places? -0.0003722 What is -0.0000195653 rounded to 6 decimal places? -0.00002 Round -824.0308 to 1 decimal place. -824 What is 0.0303326 rounded to four dps? 0.0303 Round -26002.592 to the nearest one hundred. -26000 Round 9804.2194 to the nearest ten. 9800 Round -15373.152 to the nearest ten. -15370 Round 449052200 to the nearest one hundred thousand. 449100000 What is -546.84747 rounded to 1 dp? -546.8 Round 0.0000086354 to six dps. 0.000009 What is 3353.5 rounded to the nearest 100? 3400 Round -0.000031739 to five decimal places. -0.00003 Round 5.200724 to three dps. 5.201 What is 6.272994 rounded to 2 decimal places? 6.27 What is -2099.2334 rounded to the nearest 10? -2100 What is 55.6109 rounded to the nearest 10? 60 What is -0.001623228 rounded to 4 decimal places? -0.0016 Round 1347431 to the nearest 1000. 1347000 Round 0.000046754 to 6 decimal places. 0.000047 Round 7845.273 to the nearest 10. 7850 Round 38156900 to the nearest one million. 38000000 Round -842608.53 to the nearest one hundred thousand. -800000 Round -4.70709 to zero dps. -5 Round 0.00015770718 to five decimal places. 0.00016 Round 110258 to the nearest 1000. 110000 What is -0.0000774148 rounded to five decimal places? -0.00008 Round 0.000000378811 to seven decimal places. 0.0000004 What is 315219 rounded to the nearest 1000? 315000 Round 0.000057342412 to six decimal places. 0.000057 Round 0.05530853 to four dps. 0.0553 What is -18761708 rounded to the nearest 100000? -18800000 What is 0.0001584918 rounded to five decimal places? 0.00016 What is 2536490 rounded to the nearest one million? 3000000 Round 0.00053694679 to six decimal places. 0.000537 What is -101522380 rounded to the nearest one hundred thousand? -101500000 What is -1.431482 rounded to 2 dps? -1.43 What is -0.00046412744 rounded to 6 decimal places? -0.000464 What is 12618.65 rounded to the nearest one hundred? 12600 What is 0.0013973949 rounded to five dps? 0.0014 What is -10643.3023 rounded to zero decimal places? -10643 What is -3.9652 rounded to 1 dp? -4 What is 379.03 rounded to the nearest ten? 380 What is 1.271952 rounded to 1 decimal place? 1.3 Round 0.000598414 to six dps. 0.000598 What is 0.000017315 rounded to five dps? 0.00002 Round -0.60025 to one decimal place. -0.6 What is -80552.1 rounded to the nearest ten thousand? -80000 Round 15820.42 to the nearest 1000. 16000 What is -11.30764 rounded to the nearest integer? -11 What is 0.02268221 rounded to 4 decimal places? 0.0227 What is -38322720 rounded to the nearest one million? -38000000 Round -3272.2095 to the nearest one hundred. -3300 Round 8746.45 to the nearest one thousand. 9000 Round 105634.4 to the nearest 1000. 106000 Round -137.961 to 0 decimal places. -138 Round -0.0001620647 to 7 dps. -0.0001621 Round -0.0005633985 to five dps. -0.00056 What is 1317.8153 rounded to one decimal place? 1317.8 Round 29.54534 to zero dps. 30 Round -1342720 to the nearest 10000. -1340000 Round -9.3567333 to the nearest integer. -9 What is -109831000 rounded to the nearest 100000? -109800000 What is -67.285233 rounded to two dps? -67.29 What is -0.00088242 rounded to 4 decimal places? -0.0009 Round -0.287554 to three decimal places. -0.288 Round -0.00015934868 to six dps. -0.000159 What is 13545.628 rounded to the nearest one hundred? 13500 Round 3226.087 to the nearest integer. 3226 Round -93001.6 to the nearest 100. -93000 What is 13318200 rounded to the nearest one million? 13000000 What is 474.0119 rounded to the nearest integer? 474 What is -4124581600 rounded to the nearest 1000000? -4125000000 Round 59842.3 to the nearest one hundred. 59800 What is 1682.668 rounded to the nearest 10? 1680 Round -0.000248664 to 4 dps. -0.0002 What is -14453590 rounded to the nearest ten thousand? -14450000 Round -71.53148 to one decimal place. -71.5 What is 0.0014408025 rounded to 3 decimal places? 0.001 What is -622.57 rounded to zero decimal places? -623 What is 32.08975 rounded to the nearest 10? 30 What is -0.006555 rounded to two dps? -0.01 What is -66558400 rounded to the nearest one million? -67000000 What is 0.000494874 rounded to six decimal places? 0.000495 What is -0.0000003974262 rounded to 7 decimal places? -0.0000004 What is 0.11002766 rounded to three dps? 0.11 What is 340412.19 rounded to the nearest one thousand? 340000 What is -7.246409 rounded to one dp? -7.2 What is 0.0068292 rounded to 5 decimal places? 0.00683 What is -4532.3626 rounded to the nearest one hundred? -4500 Round 0.0334101 to three decimal places. 0.033 Round 46730000 to the nearest one million. 47000000 Round -23727.1 to the nearest ten thousand. -20000 Round 0.000190757 to seven dps. 0.0001908 Round 0.00170689 to 5 dps. 0.00171 What is 0.0001036899 rounded to 6 dps? 0.000104 Round -5143.3628 to the nearest ten. -5140 Round -0.0634284 to four dps. -0.0634 What is -122210 rounded to the nearest one hundred thousand? -100000 Round -23182.6 to the nearest one hundred. -23200 Round 254.1497 to 1 decimal place. 254.1 What is 17296900 rounded to the nearest 1000000? 17000000 Round -40103290 to the nearest ten thousand. -40100000 Round 0.00002801872 to 6 decimal places. 0.000028 What is -80283.5 rounded to the nearest 100? -80300 What is 0.0204499 rounded to two decimal places? 0.02 Round 0.0000933308 to 5 decimal places. 0.00009 What is 0.000016167871 rounded to 6 dps? 0.000016 Round -39132.9 to the nearest one thousand. -39000 Round -430614 to the nearest 1000. -431000 What is -0.00011465715 rounded to 7 decimal places? -0.0001147 Round -58296 to the nearest one hundred. -58300 Round -0.0000030843172 to seven dps. -0.0000031 What is -1949.783 rounded to the nearest 10? -1950 What is -23.540103 rounded to zero dps? -24 What is -11932.56 rounded to the nearest 1000? -12000 Round 0.1023397 to two decimal places. 0.1 What is -23345450 rounded to the nearest one hundred thousand? -23300000 What is -3.16002 rounded to the nearest integer? -3 Round -311198600 to the nearest one million. -311000000 Round 76435 to the nearest ten thousand. 80000 What is 0.000000839699 rounded to 7 decimal places? 0.0000008 Round -246.8 to the nearest 100. -200 Round -57.370414 to the nearest 10. -60 Round -1525850 to the nearest one hundred thousand. -1500000 What is -194817 rounded to the nearest 10000? -190000 What is -1.7732636 rounded to one dp? -1.8 What is -1572346.1 rounded to the nearest one thousand? -1572000 Round -10.89 to the nearest integer. -11 What is -544738 rounded to the nearest 10000? -540000 What is -9409020 rounded to the nearest 1000000? -9000000 Round -0.19425825 to two dps. -0.19 Round -0.0555489 to 2 decimal places. -0.06 What is -0.000006227447 rounded to six dps? -0.000006 What is -0.002611604 rounded to six dps? -0.002612 What is -0.1343639 rounded to four decimal places? -0.1344 What is 0.000080197 rounded to 5 dps? 0.00008 What is -7267.862 rounded to the nearest ten? -7270 What is 7.150679 rounded to 0 dps? 7 Round 58699300 to the nearest 1000000. 59000000 Round -0.2874168 to 3 dps. -0.287 What is 0.0462209 rounded to 4 decimal places? 0.0462 What is -2637341 rounded to the nearest 100000? -2600000 Round -0.00587931 to five decimal places. -0.00588 What is -0.0000150703 rounded to seven decimal places? -0.0000151 Round 19285.036 to the nearest ten. 19290 What is 1789.458 rounded to the nearest integer? 1789 Round 423.4259 to the nearest one hundred. 400 What is 0.00010339904 rounded to 5 decimal places? 0.0001 What is -15.852534 rounded to the nearest integer? -16 Round 16.392364 to zero dps. 16 Round 0.262001 to one decimal place. 0.3 Round -115220400 to the nearest one million. -115000000 What is 18035.684 rounded to the nearest 10? 18040 Round -25335
{ "pile_set_name": "DM Mathematics" }
(a) -2 (b) -232 (c) -5 (d) 2/5 (e) 0.1 e What is the nearest to 9 in 16, 2/27, -5, -4, -1? 16 What is the nearest to 1/16 in 3/5, -3, 1674, 1/5, -0.2? 1/5 Which is the nearest to 2/7? (a) 0 (b) -3/7 (c) -139/5 (d) -0.2 (e) -0.4 a What is the closest to -2/7 in -8.4, 0.3, 3, 4/7, -5? 0.3 Which is the closest to 0.3? (a) -11 (b) -4 (c) 1.7 (d) 2/7 d Which is the nearest to 479? (a) -2 (b) 0.3 (c) 6 (d) -25 (e) 0.5 c Which is the nearest to -2? (a) 1491 (b) 0.06 (c) -2 (d) 1 c Which is the nearest to 2? (a) -448 (b) 5 (c) -7 (d) 2/9 d What is the closest to 90 in -5, 127, 0? 127 What is the closest to 6 in -0.2, 6/29, -0.02, 0.3? 0.3 What is the closest to -807 in 0, 4, 0.04, 3/8? 0 What is the nearest to -2/23 in -53, 2, -0.94? -0.94 What is the closest to 7 in 29/4, -7, -13? 29/4 What is the closest to 2 in -1/9, 10.2, -2.1? -1/9 What is the closest to -10 in -1/4, -2/5, -0.2, 0, 5? -2/5 Which is the closest to 197? (a) 5 (b) 140 (c) 3 b What is the closest to -1/8 in 2/53, -3, -571? 2/53 Which is the nearest to 1/3? (a) -2.068 (b) -5 (c) 4 (d) -4 a Which is the closest to 2/5? (a) 1 (b) -2.1 (c) 5.2 a Which is the nearest to -0.1? (a) -2 (b) 7 (c) 4 (d) -0.24 d What is the nearest to -1 in 145, 147, 5? 5 What is the closest to 4 in 11, 0, -166, 1, -5/6? 1 Which is the nearest to 4? (a) 0.3 (b) 0.2 (c) -12.8 (d) 16 a Which is the nearest to 2/37? (a) 1/2 (b) 6/169 (c) -3 b Which is the closest to 2/7? (a) 0 (b) 2/11 (c) 16641 b What is the nearest to 0 in -15, -29, 3, -2/5? -2/5 What is the closest to 2/11 in 0.7, 0, -26/7? 0 Which is the closest to 927? (a) 2 (b) -0.134 (c) -0.8 a What is the closest to 0 in 5, 0.5, 3, -1125/4? 0.5 What is the closest to 2 in 1, 51, 1.3, -3? 1.3 Which is the closest to 6? (a) -0.063 (b) -2/15 (c) -0.3 (d) -0.2 (e) 4 e What is the closest to -1/7 in 2, 3/4, 39/5, -3? 3/4 What is the closest to -10 in -1033, -1/7, -2/23? -1/7 Which is the closest to -2/5? (a) -5 (b) -0.2 (c) 6739 b What is the closest to -0.1 in 27, 218, -2? -2 What is the nearest to 0.2 in 3549, 0.2, 2/5, 4? 0.2 Which is the nearest to 0? (a) 1 (b) -5/177 (c) -35 b Which is the closest to -43/2? (a) -0.5 (b) -9/7 (c) 3 b Which is the nearest to 2? (a) 8/45 (b) -4/9 (c) 1/4 c What is the closest to -2 in -21.9, -0.4, 4, 0.4, 0? -0.4 What is the closest to 1 in 4, -3/8, 0.5, -4? 0.5 What is the nearest to 0.1 in -0.5, 0.804, 0.3, -1/8? 0.3 What is the nearest to 1/3 in 0, -836.46, 5, -2? 0 Which is the nearest to -1? (a) -23 (b) 2 (c) 0.3 c Which is the closest to -0.1? (a) 3 (b) -1444 (c) 2 (d) 4 c Which is the nearest to 0? (a) -0.02 (b) -0.00533 (c) -1 b Which is the closest to -0.1? (a) -293 (b) 2 (c) -4 (d) 1451 b What is the nearest to 5 in 0.4, 3/2, 3, 471? 3 Which is the nearest to -1/2? (a) 0.2 (b) 25 (c) 2/17 (d) 47 c What is the closest to -0.6 in 5118, 1, -4/3, 0.2? -4/3 What is the nearest to 1/3 in 0, -12948.8, -1/3, 2? 0 Which is the nearest to -2/5? (a) -206 (b) -0.3 (c) 2 (d) -312 b What is the closest to 6 in -0.03, -40, 5? 5 What is the nearest to 1 in 742, 13.3, -0.2? -0.2 Which is the closest to -2/1637? (a) 1 (b) -4 (c) 0.4 c What is the closest to -1 in -4, -3, -0.1, -0.3, -0.5? -0.5 What is the nearest to 1 in -545, 1, -7/5? 1 What is the closest to 1.9 in 5, 39, 1/2? 1/2 Which is the closest to 25? (a) -8/15 (b) 0.3 (c) -1 (d) 3 d What is the nearest to -0.11 in -2/7, 190, -1.4? -2/7 What is the closest to -4 in 0.2, 44565, 0.1, 1/3, 3/7? 0.1 What is the closest to 0 in -0.079, -6, 0.1, 0? 0 What is the nearest to 1743 in 3/2, 4, 3, 2/11? 4 Which is the closest to 5? (a) -4 (b) -4/3 (c) -21.802 b What is the closest to -0.1 in 5, 2, -16, 8.3? 2 What is the nearest to 0 in -0.4, -1/8, 3/7, -4, -0.05? -0.05 Which is the nearest to -0.1? (a) -15547 (b) 4 (c) 1/9 (d) 0.3 (e) 3 c What is the nearest to -92 in -2/3, -1.5, 0.3, 0.2, -0.4? -1.5 Which is the nearest to -0.1? (a) 13 (b) 2/11 (c) 7 (d) 133 b What is the nearest to 1 in -3/4, 0.4, -0.1, -12.31? 0.4 Which is the nearest to -1.3? (a) 0.3 (b) 0.393 (c) -2/11 (d) 7 c What is the nearest to 0 in -1/6, -0.4, 1/9, -2/11? 1/9 Which is the nearest to -0.1? (a) 2 (b) 0.4 (c) -0.41 (d) -1 c What is the closest to 13 in 0, -0.14, 18.7, 3? 18.7 Which is the nearest to 0.11? (a) 900 (b) 15 (c) -2 (d) -3 c What is the closest to 0.1 in -0.4, -0.186, -3, -0.52? -0.186 What is the closest to 0 in 1, -621, -1/35? -1/35 What is the closest to 69 in 0.15, 0, -1.3, 4, -1? 4 What is the nearest to 15 in -7, 19/3, 1/11, 5? 19/3 Which is the closest to 14/13? (a) 0.3 (b) 9 (c) 0.1 a What is the closest to 2/11 in -0.056, 2/15, 0.1, -152? 2/15 Which is the closest to -1/2? (a) -4 (b) 29/966 (c) 5 b Which is the closest to -1? (a) 0.5 (b) 0 (c) -17465 b What is the closest to -7 in -3, -2/3, 7/16466, -1? -3 What is the closest to -1 in -4, 48, 0.2, 63.9? 0.2 What is the closest to 9/5 in 0, 7, -2/15, 1/6, 0.2? 0.2 Which is the nearest to -1/3? (a) 9/7 (b) 5 (c) -0.04715 (d) 4 c Which is the closest to -0.07? (a) 1/10 (b) 1.8 (c) 1/2 (d) -1/5 d What is the closest to 1 in 0.2, 0, 2/9, -1/2, 1/64? 2/9 Which is the closest to -4/11? (a) 3/109 (b) -1 (c) -0.1 c Which is the closest to 0? (a) 2/7 (b) -133 (c) 3 (d) -136 a Which is the nearest to -1/614? (a) 32 (b) -5 (c) 0.3 c Which is the nearest to -1? (a) 2 (b) 3/2 (c) -25/4 b What is the closest to 2 in 5/7, -0.2, -2, 5, -5? 5/7 Which is the closest to 1? (a) -4 (b) -4/723 (c) -0.2 b Which is the closest to 0.7? (a) 4 (b) -2/111 (c) -6 b Which is the nearest to -175? (a) 2/3 (b) -3 (c) -7 (d) 6 (e) -2/5 c What is the closest to -1 in -0.074, 0, -3, -20, 3? -0.074 Which is the closest to -1/4? (a) -0.1 (b) 4.4 (c) 4/9 (d) 11 (e) 0.1 a What is the closest to -33/4 in -6, -1, -3, 1? -6 Which is the closest to -2? (a) 2 (b) 0.01 (c) -5 (d) 2.4 b What is the closest to -2/3 in 1/3, 0, 0.5, -98? 0 Which is the closest to -0.1? (a) 0.5 (b) -273.9 (c) 1 (d) 2 a What is the closest to 1 in 5, 0.25, 3627? 0.25 Which is the nearest to 1? (a) -5 (b) 25/18 (c) 0.1 (d) 3/7 b Which is the nearest to 2/5? (a) 3/5 (b) 1 (c) 4/7 (d) 291/5929 c Which is the closest to 1? (a) 1/2 (b) -40/403 (c) 3/7 (d) 3 a Which is the nearest to 3? (a) -5 (b) -15348 (c) 1 c Which is the nearest to 0.2? (a) 0.5 (b) 3/4 (c) -1.5 (d) 0.09 d What is the nearest to 73/4 in -2/29, -4, 0.2? 0.2 Which is the closest to 1? (a) 206 (b) 2 (c) 0.3 (d) -4/7 c What is the closest to -0.5 in 0.1, 3/2, -1, -2? -1 What is the closest to 0 in 4/5, -2/327, -0.016, 0.4, -3? -2/327 What is the nearest to -2/7 in -0.09, -3, 0.13, 1.1? -0.09 What is the closest to -0.15 in -2/9, -1/23, -1, 11, -1/8? -1/8 What is the closest to -0.02 in -0.3, 2/3, -7? -0.3 What is the closest to -0.33 in 0.6, 6/5, -0.47? -0.47 Which is the nearest to -14693? (a) -0.3 (b) 0.1 (c) 1/3 a Which is the nearest to 1/4? (a) -1 (b) -5 (c) 189 (d) -2/3 (e) -65 d What is the nearest to -1.9 in -11, -2, -5? -2 Which is the nearest to 5? (a) -4 (b) -924/5 (c) 3/7 c Which is the closest to 1.01? (a) -2/7 (b) -4 (c) 4 a What is the closest to 0 in -26, 395, 3/5? 3/5 Which is the nearest to -1/2? (a) 1 (b) 13/15 (c) 5 b What is the nearest to 0 in 2/21, 4/3, -4/5, 2/21155, -1/3? 2/21155 What is the nearest to 1/4 in 0.2, 818/13, -5, 2/13? 0.2 Which is the closest to 0? (a) -6.33 (b) -67 (c) 0.4 c What is the nearest to -0.1 in -8, -2/13, -27, -3? -2/13 Which is the closest to 0.1? (a) -2/7895 (b) 0 (c) 1/3 (d) 0.3 b What is the closest to 0.1 in 5, -20/13, -5, -6? -20/13 What is the nearest to 0 in -0.04, 1/76, -4, 44? 1/76 What is the closest to -51 in -0.4, 0.5, -1/6, -2/3, -7? -7 Which is the nearest to -0.02? (a) 3/2 (b) 0 (c) -127/5 b Which is the closest to -75? (a) 1 (b) 1/7 (c) -1/10 (d) 0.2 (e) -5 e Which is the nearest to -2/7? (a) 3.273 (b) 5 (c) -6 a Which is the nearest to -57? (a) 3/8 (b) -5/3 (c) -2 (d) 10 c What is the closest to -0.1 in -1, -0.2, 12.6, -0.01, 6? -0.01 Which is the closest to -1? (a) 3 (b) 1/6 (c) -0.033 (d) 0.3 c Which is the closest to 1? (a) 0.1 (b) -3
{ "pile_set_name": "DM Mathematics" }
hich is the closest to -0.1? (a) -2 (b) m (c) p c Let s = 27.5 + -22.5. Let d = 0.3 - 0.1. What is the closest to -1 in s, d, 2/5? d Let o = -88 + 76. Let y be (-6)/(-15)*((-28)/o)/(-7). What is the closest to -2 in -5, y, -1/6? -1/6 Let v = -658/3 - -219. Which is the closest to -0.1? (a) 1 (b) v (c) -0.5 b Let l = 36.9 + -37. Let p = -2 + -6. Let g = p - -8.1. Which is the nearest to g? (a) -0.4 (b) -5 (c) l c Let o = -48 + 48. What is the nearest to -3/4 in o, -5, 1? o Suppose 4*x + 20 = -4*m - 0, -5*m + 3*x - 9 = 0. What is the closest to 1/4 in 7, 2/11, m? 2/11 Let v be (0 + 0)/(-1 + -3). Suppose 4*d - 9*d + 25 = v. Which is the closest to 2? (a) d (b) -3 (c) -2/7 c Let i = -7 - -6.9. Let x = -9 - -13. Suppose v - 3*j = 1, -4*v - x*j + j - 26 = 0. Which is the nearest to i? (a) 0.3 (b) 5 (c) v a Let l = -0.162 - -0.462. Which is the nearest to 2/3? (a) 0.6 (b) l (c) -0.3 (d) 1/4 a Let v = -77 - -137. Let w = v + -59.8. Let z = -18 + 124/7. Which is the nearest to 2? (a) 0.3 (b) w (c) z a Let o = 920 - 2764/3. Which is the closest to 1/10? (a) 1/3 (b) 1/4 (c) o b Let k = -38 - -41.1. Let r = k + -3. Suppose 0 = 4*j - 0*j + 5*w + 4, 2*w = 0. Which is the nearest to 2/7? (a) 1/2 (b) j (c) r c Let p = 598.9 + -599. Which is the closest to p? (a) -3 (b) 5 (c) -1/2 (d) 0.1 d Let v = -540.1 + 540. Let u = -5 + 4. Which is the closest to -2? (a) u (b) -4 (c) v a Let j = 101.3 - 109. Let d = -7.3 - j. Which is the closest to 0? (a) d (b) 0.5 (c) 2 a Suppose 3*y - 7*p = -3*p + 31, -17 = -y + 3*p. What is the nearest to -5 in 0.5, 3, y? 0.5 Let z = -106.1 - -106.3. What is the nearest to 1/9 in -0.2, 7, z, 1? z Let i = -10143 - -10138. Let u be (-2)/(-12) + 2/3. Which is the nearest to -1? (a) -2 (b) u (c) i a Suppose -5*z - 12 = 3*h, -4*h - 8 = 58*z - 54*z. Let k be -3*(-8)/84*1. Which is the nearest to -1/3? (a) 4 (b) k (c) h b Let q = 1/3 - 1/12. Let n = 7.98 + -9.98. Which is the nearest to 2? (a) q (b) 0.4 (c) n b Let a = 14 - 72/5. Let j = 1.7 - 2. Let t be 8/5 + -4 + 2. What is the closest to a in j, -0.1, t? t Let u = -1067/4 + 268. Let z = 500.3 - 500. Which is the nearest to -0.1? (a) -4 (b) z (c) u b Let w be (11/((-220)/12))/(9/2). Let q be (-44)/96 + (-3)/(-24). Which is the closest to -0.07? (a) w (b) q (c) 0.5 a Let m = -3421 + 3419. Let n = -2.6 + -0.4. What is the nearest to 0.3 in m, -0.03, n? -0.03 Let d be 75/35 + 1 + 3 + -7. Suppose 0 = -3*h - 0*h - 15. What is the closest to -0.1 in h, d, 1? d Let n be (12/(-168))/(2/16). What is the nearest to -3 in 5, 0.06, n? n Let i = -4.209 + 0.209. What is the closest to -2 in -0.1, i, -1/4, 1? -1/4 Let j = -5 - -4. Let g be 10/75 + (-94)/30. What is the nearest to -2/7 in -4, j, g? j Suppose 2*s = -3*b - 12, 4*b - 3*s = -6*s - 17. Let f(x) = -x**2 - 24*x - 95. Let y be f(-19). What is the nearest to b in y, 0.5, -2? -2 Let w = -20.7 - -21. Let p = 2.1 + w. Let q = p - 1.9. What is the nearest to 0.2 in q, 1, -1? q Let g be 105/245 - (-64)/14. Which is the nearest to 1? (a) 1 (b) g (c) -15 a Let r be 2 + ((-9)/(-6) - 2). Let n(x) = x**3 - 6*x**2 - 6*x - 8. Let l be n(7). Let o be 39/(-18) + 7 + -5. What is the nearest to l in r, 1/6, o? o Let f = -1.6 - -9.6. Let l = 7 - 15. Let m = f + l. What is the closest to -0.2 in -0.5, -1/9, m? -1/9 Let o = -130061/4107 + 2/1369. Let r = 32 + o. Let c = 1068/7 - 152. What is the nearest to r in -2/3, -2/15, c? c Let r = 29.5 + -35.556. Let d = r - -0.056. Which is the nearest to 0? (a) d (b) -4/9 (c) 3/8 c Let p = -31 + 35. What is the nearest to 2/7 in -0.4, 9, p? -0.4 Let l = 2.45 - 2.55. Let r = -3 - -2.8. Which is the closest to r? (a) l (b) -3 (c) -1/4 c Let d = -463/2 + 231. Which is the nearest to d? (a) 1/2 (b) -2/11 (c) 3/2 b Suppose -4*y + 5*d + 64 = 0, -4*y + 10*d + 64 = 15*d. Suppose -2*f - y = 2*r, -7 = r + 2*f + 4. Which is the closest to -6? (a) -1 (b) r (c) 4 b Let k = 0.0478 - -16.9522. What is the nearest to -1 in 4, k, -1, -5? -1 Let r = -4.6 + 5. Suppose 0 = -5*o + 58 - 313. Let s = o + 665/13. Which is the nearest to s? (a) r (b) -1/3 (c) -4 a Let w = -13 + 17. Let t(g) = -g**3 - 3*g**2 + 10*g - 1. Let r be t(-5). What is the nearest to r in 35, w, -2? -2 Let s(f) = -10*f - 61. Let c be s(-6). What is the closest to 2/13 in -0.2, c, -0.4? -0.2 Let i = 227/15 - 15. Which is the nearest to 1/3? (a) i (b) 6 (c) 11 a Let r = 801 + -799. Let g = 10 + -7. What is the nearest to r in 1/4, g, -2/3? g Let x = -0.9 + 0.8. Let r = -0.06 + 0.13. Let t = r + -0.07. What is the nearest to t in 2, x, 5? x Let u = 0.67 - -4.23. Let a = u - 5. What is the nearest to a in 5, -2, -4? -2 Let z = -30 - -27. Let b = -7 + 2. Let p = -4.57 - -4.77. What is the nearest to z in p, 1/2, b? b Let q = 0.0097 + 0.4903. What is the nearest to q in -1/6, -1, -32? -1/6 Let b = -22 + 16. Let i be -1*2/9 + 12*(-10)/(-135). What is the closest to -1 in b, -4, i? i Let s = -0.0172 - -4.0172. What is the nearest to -0.1 in -2, 2, s, 0.3? 0.3 Let t = -168 + 169. What is the nearest to -26/15 in -4, t, 4? -4 Let v(r) = r**3 - r**2 - 5*r + 6. Let q be v(3). Which is the closest to -0.4? (a) 2 (b) -5 (c) q a Let o = 2/545 - -1064/7085. Let i = -2/297 + -52/297. What is the nearest to 15 in -0.4, o, i? o Let v be (-7 + 41)/(1*2). Let z = v - 16. Let l = 0.2 + 0.8. What is the closest to l in 0, z, 3/5? z Let s be ((-45)/(-60))/((-3)/(-2)). Let l be (-5)/(-30) - 10/6. Which is the closest to s? (a) -0.03 (b) l (c) 0.4 c Let z = -15639 + 15640. Let t = -0.25 + -0.05. Let w = -0.02 - -6.02. Which is the nearest to w? (a) z (b) 2 (c) t b Let k = -4.0017 + 0.0017. Let j(a) = -a**2 - a + 1. Let g be j(0). Let v = 0 + g. What is the nearest to v in -2/9, k, 5? -2/9 Let g = 93 - 467/5. Let t be ((-20)/15)/((-20)/6). Suppose l = 9*l - 24. What is the closest to t in g, 0.2, l? 0.2 Let g = -1622 - -1624. What is the closest to g in 0.2, -0.149, -1/6? 0.2 Let v = -121 - -115. Which is the nearest to v? (a) 23 (b) -1/9 (c) 0.1 b Let p = -0.339 - 0.061. Which is the nearest to 0.2? (a) p (b) -10 (c) 4 (d) -3/5 a Let l = -9.9 - -10. Let i = l - -10.9. Let r = i - 10.5. Which is the closest to 0.1? (a) 3 (b) r (c) 1 b Let a = 329 + -329. Let l = -2 + 3. Let g(x) = -x**3 - 3*x**2 - 2*x - 4. Let w be g(-3). What is the closest to a in 0.4, w, l? 0.4 Let c = -3.29 + 0.29. What is the nearest to 3/2 in 1/5, 0, c? 1/5 Let o be 2/4*(-8)/(-1). Suppose 0*v - o*x = -5*v + 25, 0 = 2*v + 5*x - 43. Suppose v*j = 4*j - 5. Which is the nearest to j? (a) 0.3 (b) 0.2 (c) -5 b Let g(u) = -4*u - 31. Let s be g(-8). What is the closest to s in -1, 57, -5? -1 Let l = 2 - -1. Suppose 0 = -d - 2*y - 5, 3*d - 2 = d + 2*y. Let v = -0.2 - -0.3. Which is the closest to d? (a) v (b) l (c) -3 a Let b be (9 - 3)*2/4 - 7. Suppose 5*n - 7*n = 2. Suppose -4*h + t = 3 + 1, 0 = 2*h + 4*t + 20. What is the closest to n in h, 0.3, b? h Let f = -0.6 - -4.1. Let x = f + -3.8. What is the closest to -1/4 in -0.4, x, 5? x Let l = 16 - 18. Let c be ((-2)/10)/(40/(-50)). What is the closest to 3 in 0, c, l? c Let u = 162 - 233. Let s = u - -66. What is the closest to 2/3 in -3, s, -0.02? -0.02 Let l = -163/36 - -25/12. Which is the nearest to -1? (a) 1/5 (b) l (c) -0.3 c Let u = -1951 + 1951.07. Which is the closest to 0.2? (a) -0.1 (b) -3 (c) -2 (d) u d Suppose 5*r + 10 - 5 = 0. Which is the nearest to r? (a) -0.14 (b) 2/7 (c) 4 a Let j be -2 - -3 - 2 - -2. Suppose 5*p + 1 = -2*u, 4*p - 6*u + 12 = -2*u. What is the closest to 1 in j, p, 1/2? j Let y = -184.8 + 185. Which is the closest to 1/2? (a) 3 (b) -4 (c) y (d) 4 c Let x = -464.1 - -464. Which is the nearest to -5? (a) x (b) -0.09 (c) 5 a Let l = -32 + 21. Let y = l + 12. Suppose 0 = -0*z - z - y. Which is the nearest to -1? (a) -0.2 (b) z (c) 1 b Let y = -0.8 - 7.2. What is the closest to y in -0.4, 1/12, -1/3? -0.4 Let g be 1 - (5 + -6 - -3). What is the nearest to 0.2 in g, -2/9, 1, -0.3? -2/9 Let u = -1549 + 1549.3. Which is the closest to -1? (a) 4/5 (b) u (c) -77 b Let s = -402 - -401.7. Let h = -1.05 + 0.05. Let c = h - -0.5. What is the closest to 1/4 in -3/8, c, s? s Let o be 2 - (-4 + 114/18). Let p = -4 - -3.2. Let l = -1 - p. Which i
{ "pile_set_name": "DM Mathematics" }
= i. Let v(t) = -t. Let r(z) = 3*j(z) + 2*v(z). Let f(a) be the second derivative of a**3 + 10*a. Calculate f(r(o)). 6*o Let o(n) = -2*n. Let l(g) = -17*g**2 - 13. Let d(y) = 8*y**2 - 4*y**2 + 1 + 2. Let h(q) = 26*d(q) + 6*l(q). Determine o(h(a)). -4*a**2 Let z(d) be the first derivative of -d**2/2 - 8. Let m(q) = -2*q**2. What is z(m(s))? 2*s**2 Let s(p) = -55*p. Let f(y) = 11*y**2. Determine s(f(d)). -605*d**2 Let f(n) = 2*n**2 + 0*n**2 + 0*n**2. Let c(b) = b**2 - 4*b. Let q be c(4). Let j(z) = -3*z**2 + 0 + q. Determine f(j(h)). 18*h**4 Let q(g) = 3*g - g - 4*g. Let l(x) = 7*x - 3. Let y(h) = -1. Let o(n) = -l(n) + 3*y(n). Give q(o(r)). 14*r Let u(h) = -28*h + 10. Let m(k) = 9*k - 3. Let l(b) = 10*m(b) + 3*u(b). Let g(d) = -16*d. Give g(l(r)). -96*r Let i(k) = -3*k. Let o be 3 - -10*1/(-2). Let d(f) = -5*f. Let x(z) = -z. Let r(p) = o*d(p) + 9*x(p). What is r(i(s))? -3*s Let c(d) be the first derivative of d**3/3 - 1. Let g(l) be the first derivative of 2*l**3 + 12. Give g(c(s)). 6*s**4 Let u(x) = 26*x. Let v(g) = 75*g**2. What is u(v(r))? 1950*r**2 Let w(r) = -13*r**2. Let g(t) = 109*t. Give w(g(b)). -154453*b**2 Let u(r) = r. Let m(q) = 388*q. What is m(u(n))? 388*n Let y(m) = 8*m**2 - 11. Let s(n) = 5 + 6*n**2 - 3*n**2 - 9. Let b(o) = 11*s(o) - 4*y(o). Let x(u) = u**2. Give b(x(g)). g**4 Let q(i) = -3*i**2. Let p(z) be the third derivative of 0 + 0*z - 3*z**2 + 0*z**4 - 1/60*z**5 + 0*z**3. What is p(q(b))? -9*b**4 Let k(u) be the first derivative of u**4/12 - u**2 + 1. Let n(q) be the second derivative of k(q). Let z(j) = -2*j. Calculate n(z(i)). -4*i Let k(d) be the second derivative of -d**4/6 + 4*d. Let w(j) = -j. Determine k(w(h)). -2*h**2 Let a(h) = 2*h. Let q(f) = -62*f - 3. Determine a(q(k)). -124*k - 6 Let r(u) = -3*u**2. Let i(d) = 2774*d. Calculate i(r(j)). -8322*j**2 Let a(c) = 6*c. Let m(r) = -r**2 + 3*r**2 + 4 - 4*r**2 - 1. Let k(w) = -w**2 + 1. Let o(y) = 3*k(y) - m(y). Determine o(a(u)). -36*u**2 Let c(r) = -2*r. Let f(q) be the first derivative of 61*q**2/2 - 4. What is f(c(y))? -122*y Let q(z) = 5 - 5 - 3*z. Let k(w) = w**2 - 57*w + 57*w. What is q(k(b))? -3*b**2 Let d(i) = 4*i**2. Let y(k) be the second derivative of -k**4/3 + 6*k. Calculate y(d(m)). -64*m**4 Let o(g) = -31*g**2. Let s(x) = 9*x. What is o(s(d))? -2511*d**2 Let z(b) = 16*b**2 - 4 + 4 - 15*b**2. Let t(x) = -26*x**2. Calculate t(z(k)). -26*k**4 Let o(c) = -2*c. Let w(r) = 4*r. Let d(j) = -9*j. Let y be 5/(35/(-2))*-7. Let q be (-27)/(-2) - 1/y. Let a(m) = q*w(m) + 6*d(m). What is a(o(h))? 4*h Suppose 0*g = -g. Let n(p) = p + 0*p + g*p. Let c(o) = o. What is c(n(u))? u Let y(u) = u**2. Let h(c) = -11*c + c + 2*c. Give h(y(i)). -8*i**2 Let z(x) = -2*x + 4*x + 0*x. Let t(a) = 13*a - 7. Let g(u) = 7*u - 4. Let h(k) = 7*g(k) - 4*t(k). Let j(b) = -b. Let r(n) = 3*h(n) - 12*j(n). Determine r(z(w)). 6*w Let a(v) = 1. Let i(y) = 2*y. Let r(z) = -6*a(z) + i(z). Let n(t) = -2*t**2. What is n(r(q))? -8*q**2 + 48*q - 72 Let k(i) = 3*i. Let t = -17 - -17. Let a(b) be the second derivative of b + 1/6*b**3 + t*b**2 + 0. Calculate k(a(j)). 3*j Let q(t) = 7*t. Let j(p) = 2155*p**2. Give q(j(h)). 15085*h**2 Let m(h) = 2*h**2 + 1076. Let i(g) = 3*g. Determine m(i(s)). 18*s**2 + 1076 Let a(c) = -c. Let m(h) = 813*h**2. Determine m(a(b)). 813*b**2 Let d(z) = -39*z + 27. Let j(n) = 3*n - 2. Let y(c) = -2*d(c) - 27*j(c). Let g(o) = -4*o. Give y(g(l)). 12*l Let x(i) = i**2. Let m(d) be the second derivative of d**4/3 - 4*d. Give m(x(y)). 4*y**4 Let a(f) = 51*f**2. Let t(q) = 0*q**2 + 11*q**2 - 10*q**2. What is t(a(d))? 2601*d**4 Let u(q) = -9*q + 3. Let f(b) = -b - 1. Let w(r) = -r - 2. Let n(c) = 4*f(c) - 2*w(c). Calculate u(n(h)). 18*h + 3 Let d(a) = -483 + 483 + a. Let m(l) = -37*l**2. Give d(m(q)). -37*q**2 Suppose -4*z = 3*s - 15, -2*z + 3*z = -3*s + 15. Suppose 0 = -3*m + a + 8, -m + s*a - 2 = 0. Let r(i) = 0*i - m*i + 5*i. Let u(w) = w. Give u(r(q)). 2*q Let g(p) = p**2 - 3. Let u(j) = 3*j**2 - 8. Let s(v) = 8*g(v) - 3*u(v). Let k(q) = -36*q. Calculate s(k(o)). -1296*o**2 Let c(o) = -3*o**2. Let z(n) = -32*n**2 - 16*n + 32. Let a(t) = -t**2 - t + 2. Let h(b) = -16*a(b) + z(b). Calculate c(h(k)). -768*k**4 Let k(j) = j. Let g(z) = 2*z. Let y(i) = -g(i) + 6*k(i). Let l(d) = 3*d + d**2 - 3*d. Calculate y(l(r)). 4*r**2 Let t(z) = 2*z. Let c(p) = 10*p - 3. Let s(o) = 41*o - 13. Let x(b) = -26*c(b) + 6*s(b). Give x(t(f)). -28*f Let d(l) be the second derivative of -7*l**3/6 - 15*l. Let m(v) = v. Let w(c) = -2*c. Let i(z) = -9*m(z) - 4*w(z). Give i(d(a)). 7*a Let s(x) = 2*x. Let g(i) = 9*i. Let y(t) = 4 + 32*t - 4 - 5*t. Let k(o) = -17*g(o) + 6*y(o). Determine k(s(c)). 18*c Let k(w) = -5*w**2. Let j(a) be the second derivative of -a**4/12 - a**3/6 - a**2/2 + 2*a. Let h(p) = -3*p**2 - 2*p - 2. Let n(t) = h(t) - 2*j(t). Give k(n(r)). -5*r**4 Let a(b) = b. Let j(k) be the second derivative of -k**4 + 7*k**2/2 + k. Let i(n) = -6*n**2 + 3. Let m(x) = -7*i(x) + 3*j(x). Determine a(m(y)). 6*y**2 Let y(n) = 29*n**2. Let p(a) = -2*a. What is y(p(x))? 116*x**2 Let j(x) = -x. Let m(n) = 6*n. Let g(t) = -t**2 - 7*t - 4. Let l be g(-7). Let a(s) = -5*s. Let z(o) = l*a(o) - 3*m(o). Give z(j(f)). -2*f Let h(c) = -850*c**2 - c. Let k(d) = 2*d. What is h(k(j))? -3400*j**2 - 2*j Let l(a) = 22*a. Let w(q) = 0*q + 11*q - 9*q. Determine w(l(c)). 44*c Let f(h) = -h**2 - 12*h. Let k(v) = -3*v. What is k(f(x))? 3*x**2 + 36*x Let y(f) = 11*f**2. Let a(z) = 3*z**2 - 4. Let w(d) = d**2 - 1. Let m(h) = a(h) - 4*w(h). Calculate m(y(g)). -121*g**4 Let h(c) = -49*c**2 + 1. Let o(s) = -4*s. Determine o(h(f)). 196*f**2 - 4 Let z(p) = 9*p. Let j(c) = -c**2 - c - 1. Let t(u) = u**2 + 2*u + 2. Let w(d) = -4*j(d) - 2*t(d). Determine z(w(i)). 18*i**2 Let t(y) = 2*y + y - 4*y. Let j(f) = f**3 - 7*f**2 + 5*f + 8. Let w be j(6). Let n(u) = 4*u**2 + 2*u - w*u. Give t(n(c)). -4*c**2 Let o(f) = 2*f. Let r(t) be the second derivative of -1/24*t**4 + 0*t**3 - 1/2*t**2 + 0 - 3*t. Let y(l) be the first derivative of r(l). Determine o(y(s)). -2*s Let o(d) = 3 + 14*d**2 + 6*d**2 - 3. Let c(z) = 2*z. What is c(o(s))? 40*s**2 Let g(v) = 0*v - 3*v - 2*v + 7*v. Let l(t) = 2*t. Calculate g(l(h)). 4*h Let o(k) be the second derivative of -10*k**3/3 + 5*k. Let c(t) = -2*t**2. Calculate o(c(l)). 40*l**2 Let t(m) = m + 3. Let k(y) = -y - 5. Let s(u) = 3*k(u) + 5*t(u). Let o(b) = 220*b**2 - 117*b**2 + 0 + 0 - 109*b**2. Calculate s(o(w)). -12*w**2 Let o(i) = -4 + 7 - 4 - 8*i. Let n(y) = y**2. What is n(o(h))? 64*h**2 + 16*h + 1 Let v(b) = 3*b**2 + 6*b. Let j(g) = 27*g**2. What is j(v(l))? 243*l**4 + 972*l**3 + 972*l**2 Let v(b) = -82*b - 1. Let n(h) = h. Give n(v(q)). -82*q - 1 Let h(j) = -2*j. Let f(r) = -r - 1. Let u be f(-7). Let m(t) = 3*t - 3*t - u*t. Give m(h(x)). 12*x Let j(z) = -z**3 + 9*z**2 - 9*z - 4. Let x be j(8). Let a = -8 - x. Let v(u) = u + u + a*u. Let d(q) = q**2. Give d(v(g)). 36*g**2 Let u(n) = -34*n - 29*n**2 + 19*n + 15*n. Let h(z) = z**2. Calculate u(h(s)). -29*s**4 Let n(f) = 4*f**2. Let x(q) = 381*q. What is x(n(j))? 1524*j**2 Let u(t) = t**2. Let s(z) be the second derivative of 0*z**2 + 3*z + 0 - 1/6*z**3. Determine u(s(r)). r**2 Let c be (4*(-3 + 2))/(-1). Let r(x) = c*x**2 - 2*x**2 + 0*x**2. Let n(j) = -6*j. Determine r(n(p)). 72*p**2 Let u(r) = 17*r. Let d(o) = o**2. What is d(u(a))? 289*a**2 Let s(z) = -z. Let k(o) = -567*o**2. Calculate k(s(g)). -567*g**2 Let s(l) = -6*l**2. Let r(y) = -2*y**2 + 3*y. Let d(p) = -p**2 + p. Let b(t) = 3*d(t) - r(t). Determine s(b(o)). -6*o**4 Let i(h) = 25*h**2. Let a(p) = -14*p. What is i(a(y))? 4900*y**2 Let q(b) = -5*b**2 - 7*b. Let s(x) = -2*x**2. Let t(r) = r**2. Let n(u) = -3*s(u) - 8*t(u). Determine q(n(w)). -20*w**4 + 14*w**2 Let m(l) = -l**2 + 206*l. Let x(v) = v**2. Determine m(x(r)). -r**4 + 206*r**2 Let u(h) = 11*h. Let w(g) = -g**2 - g + 1. Let o(d) = -4*d**2 - 2*d + 2. Let b(p) = -o(p) + 2*w(p). Determine b(u(y)). 242*y**2 Let y(h) = -18*h. Let q(m) = 6*m - 2*m - 5*m. Determine y(q(c)). 18*c Suppose 0 = 5*v - v - 16. Let a(t) = -v*t + 2 - 2 + 2*t. Let x(m) = -4*m - 2. Let y(u) = 9*u + 5. Let b(q) = -5*x(q) - 2*y(q). Calculate b(a(r)). -4*r Let y(m) = 7*m. Let i(k) = -447*k. Calculate y(i(d)). -3129*d Let s(o) = -o - 3*o + 2*o. Suppose -3*c = c - v - 5, 5*c +
{ "pile_set_name": "DM Mathematics" }
*o - n = -40 for o. -4 Solve -3*n - 26 = -2*r, -185*r = -173*r + 2*n + 4 for r. 1 Solve 0 = -v - 2*c + 16, 4*v - 839 = 7*c - 835 for v. 8 Solve 2799*x = -4*p + 2802*x + 28, -5*p - 34 = -21*x for p. 10 Solve -3*q + 24 = 0, -11*u - 4*q = -7*q + 68 for u. -4 Solve 12*d + 1 = 3*j + 10, 3*d + 2 = -0*d + 5*j for d. 1 Solve 2*a = -3074*u + 3078*u + 20, 5*u = -25 for a. 0 Solve -11*b + 5*s - s = 102, b + 18*s + 18 = 14*s for b. -10 Solve 195 = -9*p + 7*v - v, -p = -v + 22 for p. -21 Solve -321949*x = -321952*x - 4*q + 10, x + q = 3 for x. 2 Solve -15*p = -3*m + 48, 0 = 404*m - 382*m - p - 134 for m. 6 Solve 0 = 5*z - t - 220, 5*z - 2469*t - 2469*t = -4933*t + 220 for z. 44 Solve -3*n + 3*y - 1188169 = -1188037, 2*n - 5*y + 217 = 0 for n. -1 Solve 3*s = 3*q - 15, 507934*q - 4*s = 507931*q + 20 for q. 0 Solve j + 4*u - 32 = 0, 4*u = 10*j + 145 - 113 for j. 0 Solve o = 3*h + 23, -7 = -3*h + 84676*o - 84681*o for h. -6 Solve -6*z - 490*s + 133 = -2*z - 493*s, 3*s = 10*z - 319 for z. 31 Solve 4 - 13 = s - q + 7, -3*q = 6*s + 2*q - 36 for s. -4 Solve 0 = 4*o + k + 102, -113*o + 90*k + 122 = -118*o + 86*k for o. -26 Solve -138 = 163*h - 185*h + 2*f - 0*f + 2*f, 74 = 5*h - 7*f for h. 5 Solve 2*q = -9*a + 136, 0 = -4*a - q - 88939 + 89000 for a. 14 Solve 10*x + 5*h + 180 = 0, -936*h = -938*h - 4 for x. -17 Solve -5*n = -2*n - 58*g - 464, -4*n - 1878*g + 40 = -1883*g for n. 0 Solve 4121*v - 4118*v - k = 28, -29*v + 5*k = -280 for v. 10 Solve v + 5*l + 3 = 0, 0 = 3*v - 5*l + 70 - 21 for v. -13 Solve -17 = -3*a - 126*k + 127*k, -5*k = -74*a + 249 + 249 for a. 7 Solve 4*v - 118 + 118 = 0, -146*v = 4*f + 72 for f. -18 Solve -5580*r + 5601*r + 5*h - 235 = 0, 4*r - 5 = 7*h for r. 10 Solve g = -3*p + p + 12, -6*p - 136*g + 134*g + 18 = 0 for p. -3 Solve 3*x + s = -10, -26018641*s = -x - 26018637*s + 14 for x. -2 Solve -18 = -3*m - 0*x - x, 0 = 1375517*m - 1375515*m + 5*x - 38 for m. 4 Solve 2476*o - 2*c + 3*c + 28 = 2481*o, 0 = -o - 4*c - 4 - 3 for o. 5 Solve 6*k - 4*k + 4*q + 6 = 0, 0 = -5*k - 2*q + q + 2 + 19 for k. 5 Solve 24*l - 44*l + 21 = -4*s - 91, 4*s = -3*l - 181 for s. -43 Solve 0 = 3*s - 11*h + 8*h + 27, -570*h = 4*s - 567*h - 48 for s. 3 Solve 5*l = 5*q + 70, 3*l + q - 10 + 9 = 41 for l. 14 Solve -v + 20980 = 20974, -2*o + 13 = -7*o + 3*v for o. 1 Solve -16*g + 63 = 5*p, g + 0*g + 22*p - 6 = -3*g + 24*p for g. 3 Solve -z + 20 = -3*l - 0*z, -19 - 24 = 2*z + 20 - 67 for l. -6 Solve -o + 50 + 62 = -5*l, 0 = 15*l - 6*l - 4*o + 206 for l. -22 Solve 6271*i = 6273*i - 15*b - 954, 4*b = 5*i - 241 for i. -3 Solve -5*i + 127*x - 101*x - 1062 = 410, -4*x = -4*i - 0*x - 220 for i. 2 Solve 3104*q + 3105*q - 85 = -5*r + 6204*q, -5*r - 19 = -47*q for r. 15 Solve -861*a = -863*a - 2*h - h - 138, 214 = 2*a - 5*h for a. -3 Solve -l + k = 269114 - 268994, -k - 348 = 3*l for l. -117 Solve 0 = a - 11*o - 94, 3*o + 0*o + 21 = -5*a - 31 for a. -5 Solve 3*q = -4*y + 64, 6*q + 129*q - 605 = -5*y - 0*q for y. 13 Solve -42 = -2*t + 2*t + 2*t - 9*j, -56*j - 57*j + 2 = -112*j for t. -12 Solve 5*i - 4*d = -3, 2*d + 3*d = 27*i - 10 - 7 for i. 1 Solve 9*g - 4*g - 2*h + 30 = 0, 5342*g + 2*h = 5345*g + 22 for g. -4 Solve -56 = 2*m - 2*y, 0 = -21796*m + 21792*m - 6*y + 138 for m. -3 Solve 2*v = 6*j - 1343666 + 1343688, 5*j = 4*v - 16 for v. -1 Solve -6*j + 3*j + 6*d - 3 - 3 = 0, -998*j + 994*j = -6*d for j. 6 Solve 3*y + 761 = -389*r + 1524, -2*r - 3*y = 11 for r. 2 Solve 5745*p + 2*g = 5750*p - 23, 5*p - 29 = -4*g for p. 5 Solve -3*r - 65*q = -67*q + 1 + 1, -5*r - 2*q + 2 = 0 for r. 0 Solve p + 36*x - 41*x = -32, -2*p - 958 = -457*x for p. -22 Solve 5*c - 7 = -j, 21*j = 644*c - 640*c + 38 for c. 1 Solve -2*s + 8 = 2*t, 3*t + 58 = -41*s + 32 for t. 5 Solve 4*s - 5*r + 3 = 0, s + r - 31 + 62 = -3 + 31 for s. -2 Solve -q = -a + 87, 10697*q - 10694*q - 2*a - 490 - 151 = -10*a for q. -5 Solve 4*b - 9*k + 66 = -26*b, -15*b + 73 = -10*b + 2*k - 0*k for b. 5 Solve 83 = 12*g + 3*s + 2*s + 257, 82 = 4*g - 3*s for g. -2 Solve -h - 6*f - 13 = 0, -5*h + 57691*f = 57694*f - 16 for h. 5 Solve 3*m = 5*t + 7, -6*t - 7 - 10 = -12*t + 10*t + 9*m for t. -2 Solve -3*d - 7*d + 132*g - 135*g + 88 = 0, 6 = -3*d - g + 32 for d. 10 Solve 12*a - 68 = 3*s + 4, -5*a + 723 = -4*s + 671 for a. 4 Solve 0 = -66*t + i - 4, -t - 2*i + 2353 - 2345 = 0 for t. 0 Solve y - 4*q = -68802 + 68825, -2*y + 5*q + 43 = 0 for y. 19 Solve 15184915*m - 15184914*m - 5*w + 120 = 0, 3*m + 3*w + 414 = 0 for m. -135 Solve 5*g + 48*y - 2215 = -2*y, -6*g = -5*y + 90 + 112 for g. 3 Solve 0 = -17*t - 5*a - 250, -2*t - 6*t + 46 = -4*t - 2*a for t. -5 Solve 748*t = 2*o + 742*t + 70, 22 = 2*t for o. -2 Solve -129*u - o = -633 - 19, -118 = -2*u + 3*o - 129 for u. 5 Solve -402*g + 15*n = -406*g - 110, -6*g - 10 - 14 = -n - 0*n for g. -5 Solve -5*u = 5*r + 30, 81529*u - 81532*u - 20 = 4*r for r. -2 Solve -13673*q + 13662*q + 86 = s, -6 = -q - s for q. 8 Solve -c + 23 = -2*q, 2493 = 8*q - 3*c + 2582 for q. -10 Solve 3*m + 45 = 3*q, -354*m - 5662 = 2068*q - 2070*q for q. -1 Solve -7*m + 19 = -205*h + 208*h, -6*m + 9*h + 30 = 7*h for m. 4 Solve -533*i - 526*i = 4*w - 1058*i + 5, -5*i + 55 = 0 for w. -4 Solve 4*p + 3 = -k, -295*k = -317*k - 5*p + 266 for k. 13 Solve 2*p + 1 = -7, -5*i = 12*p + 3350 - 3212 for i. -18 Solve 0 = 10*q + 3*g - 8*g + 2*g + 174, 5*q + 98 = -4*g for q. -18 Solve -35*x + 24*x - 93 = 3*c - 4*c, -222 + 237 = 3*c for x. -8 Solve o + 37 = 195*d - 198*d, d - 6 = -4*o for d. -14 Solve 5*z - 15 = -2*w, z + 23732*w = 23733*w - 11 for z. -1 Solve -18*j + 24 = -c - 24*j + 10*j, -35 - 34 = 2*c - 11*j for c. 4 Solve -3*b - 6 = -f - 2*f, 2961*b - 3*f = 2959*b - 4 for b. -2 Solve -9395 = 242*p + 19*p + u, 4*p = -17*u + 13*u - 55 - 85 for p. -36 Solve u = 14*q - 6, 5*q - 9*u - 1431 = -690 - 687 for q. 0 Solve 0 = -409085*u + 409088*u + 2*p - 10, p + 28 = 4*u for u. 6 Solve 25*z + 2 = j + 22*z, -3*j - z - 22 = 4*z for j. -4 Solve -4*t - 104 = -2*s, -t - 3*t + 78 = -7*t for s. 0 Solve 0*m - 2*b + 18 = 3*m - 8*m - 0*m - b, -7*b + 126 = 0 for m. 0 Solve -5*y - 7415 = -i - 7265, -3*y = -178*i + 90 for y. -30 Solve 370*n = 7*a + 738*n - 367*n - 102, 4*a + 19*n = 3 for a. 15 Solve 4*d - 3*q = -52, -4700*q + 373 + 659 - 310 = -73*d - 4702*q for d. -10 Solve 0 = -220*v + 247*v - 2*o + 43, o = 5*v + 13 for v. -1 Solve -4*o + 5 = -4*o + o, i + 19*i - 10*i = -5*o + 55 for i. 3 Solve 5*w - 1193*q = -1188*q - 35, -w = 15*q - 73 for w. -2 Solve 4*z - 173 = -17*g, 5*z - g + 108 = -2*z + 9*z + 29 for z. 39 Solve 5*r - 2*w - 3*w = 3 - 49 + 1, 15 = 3*w for r. -4 Solve 4*p - 2*n = 26, 2*p + 2*n - 27392 = -27406 for p. 2 Solve -7*s = -n - 8, 58*n = -2*s - 58*n + 119*n - 2 + 7 for s. 1 Solve f - 17*c - 87 = 0, 4428*f - c = 4431*f - 1 for f. 2 Solve -13*p = -2*v + 570, -49338*p + 49337*p = 3*v + 47 for p. -44 Solve -5*h + 776*d = 771*d + 39 - 4, 10*h - d + 43 = 0 for h. -4 Solve 10*i + 7*h + 44 = 6*i + 5*h, -i + 5*i + 55*h = -256 for i. -9 Solve 0 = -61835*v + 61837*v + 4*c + 36, 0 = -3*v - 4*c - 40 for v. -4 Solve 0 = 3*v - 12, -22288*v + 44578*v + 7 = -3*w + 22288*v for w. -5 Solve -150*g = -t - 146*g + 32, -81 = -4*t + 63*g for t. 36 Solve 2262*p + 40 = 2266*p - 5*r, 0 = -4*p - r - 32 for p. -5 Solve -3*q - 38*k = 4*k - 161 - 134 + 94, 3*q - k = 29 for q. 11 Solve -19*y = 2*i - 24, -5*i - 1 = 4*y + 26 for i. -7 Solve 1573*t - 2*i + 44 = 1576*t, 5*i - 47 = -4*t for t. 18 Solve -4*y + 13*n = -116, 104*n - 55 = -5*y + 109*n for y. 3 Solve 0 = 4*m + 3*o + 13, -1110*m + 554*m + 553*m + 2*o - 31 = 0 for m. -7 Solve -3*i + 9 = 0, -7834*f - 39 = -7835*f - 9*i for f. 12 Solve 2*k + 0*k + 7*i - 28 + 35 = 8*i, -i + 19 = -4*k for k. -6 Solve s = -2*s - 6*u - 9, 395*u - 201*u = 28*s + 198*u + 32 for s. -1 Solve -2*z = -6*a - 262, -2*z = 37*a - 35*a + 74 for z. 5 Solve 3*v - 10 - 17 = -4*h - 76 + 12, 0 = -7*v - 3*h - 61 for v. -7 Solve -8*g - 28 = 4*b, 34*b - 29*b = -3 - 2 for g. -3 Solve -54*s + 19 = i + 116 + 30 + 86, -i = 5*s + 17 for s. -4 Solve 0 = -18310*v + 18316*v + k + 47, -3*v - 23 = k for v. -8 Solve -t + 4*q + 103 = 0, 4*t - 17*q + 37598 = 38037 for t. -5 Solve -5*z + 4*m - 6 = 0, 3*z - 169*m = -188*m - 25 for z. -2 Solve -3*o + 14 = -x + 2*x, -o + 4*x + 2309 - 2323 = -6*o for o. 6 Solve 5*l + 4*l - l + 4*i - 24 = -0*l + 3*l, 0 = 23*l - 4*i - 200 for l. 8 Solve 8
{ "pile_set_name": "DM Mathematics" }
Let i(m) = -4*m - 3. Let u(n) = n. Let k be u(-5). Let a(p) = 3*p + 4. Let r(f) = k*i(f) - 4*a(f). Is r(3) a multiple of 18? False Let i = 12 + 9. Suppose 0 = 2*z + k - 21, 45 = 5*z - 2*k - i. Is z a multiple of 6? True Let a be (5 - 166)/(2/2). Let s = -86 - a. Does 25 divide s? True Let a = 10 + -3. Suppose -80 = 2*t - a*t. Suppose -3*k + 29 = -t. Is k a multiple of 9? False Suppose 0 = -2*c - 8, -2*h - 8 = h + 5*c. Does 3 divide h? False Let x(p) = 77*p + 14. Is x(2) a multiple of 12? True Suppose 5*g = h + 353, -5*h - 61 = 2*g - 3*g. Let t = g - 35. Suppose -4*a = -t - 76. Does 11 divide a? False Suppose -14*a + 18*a = 584. Is a a multiple of 27? False Is 10 a factor of (63/(-12))/((-5)/40)? False Let w(o) = -o - 7. Let q be w(-3). Is q*((-33)/6 + 2) a multiple of 7? True Let p = 266 + -145. Does 11 divide p? True Suppose -o = -2*y - 42, -5*o + 186 = -2*y - 0*y. Is o a multiple of 6? True Let a(u) = -u**3 + 4*u**2 + 6*u - 3. Let o be a(5). Let s(i) = 9*i - 3. Is 15 a factor of s(o)? True Let l be 5*(24/(-15) - -2). Let i(j) = l*j**2 - 3*j**3 - j**2 + 0*j**2. Is 2 a factor of i(-1)? True Let q be (2*1)/(1/2). Suppose -2*g + f + 5 = -q, -2*f - 6 = -g. Suppose g*a = 30 + 118. Is 13 a factor of a? False Let u = 3 - -5. Let b be 22/(-10) + u/40. Is 17 a factor of 2*((-65)/b + 1)? False Suppose 0 = -2*f + 6*f. Let z be 128/56 - 4/14. Suppose f = -z*d + 4*d - 10. Does 5 divide d? True Let r = -105 + 158. Is 10 a factor of r? False Suppose -3*h + 2*n + 18 = 0, 3*h = -0*h - n + 9. Is 5 a factor of 32/h - 4/(-2)? True Suppose -5*x + 130 + 5 = 0. Does 3 divide x? True Let w be ((-3)/(-2))/((-1)/(-4)). Let g(k) be the second derivative of -k**4/12 + 3*k**3/2 - 7*k**2/2 - 3*k. Does 4 divide g(w)? False Does 13 divide (-30)/(-7)*35/5? False Is 4/(-10) - (-364)/35 a multiple of 2? True Let q = 0 - 0. Suppose -25 = -o + 5*p, -4*o + o - p + 123 = q. Is o a multiple of 13? False Suppose -3*v + 0*w + 171 = w, -4*v - 2*w + 230 = 0. Suppose 2*q - v - 14 = 0. Suppose -u + q = 2. Is 12 a factor of u? False Let v = -87 + 127. Is 10 a factor of v? True Let s be 0/1 - 6/1. Let a = s + 9. Suppose 0*n + 48 = 4*z + a*n, -n + 4 = 0. Is 4 a factor of z? False Let j(i) = i**2 + 6*i + 7. Let m be j(-5). Let f be (-28)/6*-3*m. Suppose -q + f = -4*r, 4*q - 5*r - 41 = 27. Does 5 divide q? False Let a = -46 - -126. Is a a multiple of 5? True Suppose 421 = 3*x - 4*y + 5*y, -x - 2*y + 142 = 0. Suppose 5*s + 5*w = x, -s + 5*w + 60 = 2*s. Is s a multiple of 9? False Suppose 30 + 30 = 5*t. Suppose -128 = -4*b - t. Suppose -4*u - 2*m + 11 = -b, 44 = 5*u + m. Is u a multiple of 4? True Let d(t) = t**2 - 20*t - 12. Does 14 divide d(24)? True Let v(q) = -16 + 10*q + 3 - q**2 + 1. Let x be v(9). Is 2 a factor of 5*(0/x + 1)? False Let b(g) = 16*g - 4. Is b(7) a multiple of 36? True Is (-984)/(-40) + (-4)/(-10) a multiple of 25? True Suppose 0 = 4*q - 61 - 51. Does 14 divide q? True Let c(p) = -2*p - 1. Let q be c(-2). Suppose -2*f - 62 = -g, 303 = -g + 6*g - q*f. Is 9 a factor of g? False Let a(p) = -2*p + 4. Does 4 divide a(-6)? True Let n(t) = t**3 - 5*t**2 - 4*t - 7. Let o(q) = 2*q**3 - 3*q**2 + q. Let w be o(2). Let g be n(w). Suppose 115 = 5*i + g*u, 3 - 20 = -i + 2*u. Does 7 divide i? True Let q(z) = -28*z - 3. Let b be q(-3). Let u = b - 49. Let i = u + -18. Is i a multiple of 14? True Let u = 74 - 22. Let h = u - 33. Is h a multiple of 5? False Let f be (-16)/(4/42*3). Is (5/(-4))/(2/f) a multiple of 12? False Let f be 9*((-7 - -5) + 8). Let t = -1 - -24. Let j = f - t. Does 9 divide j? False Suppose 5*a = 2*a - 9. Does 11 divide -1 + (a - (-29 - -3))? True Suppose 3*s + 5*w = 34, -5 - 4 = -s - 4*w. Is s a multiple of 13? True Let o(m) = -18*m + 16. Does 14 divide o(-3)? True Suppose -7*j + 4*y = -6*j - 22, 2*j + 1 = -y. Suppose -6*q + 16 = -j*q. Does 4 divide q? True Let g(a) = -8*a**2 - a**3 - 4*a - 4 + 2*a**2 + 0*a**2. Is g(-6) a multiple of 10? True Let k = 84 - 29. Suppose -k = -4*x + 17. Suppose 0 = -b - 4 + x. Is 14 a factor of b? True Suppose 0 = 2*q - q - 57. Is q a multiple of 19? True Let x(g) = -17*g + 1. Is 18 a factor of x(-1)? True Let l = 253 + -100. Does 17 divide l? True Let v be 0 + -3 + (-3)/3. Let c = 7 + v. Does 6 divide (-2)/c + 60/9? True Let g = -83 - -139. Is 10 a factor of g? False Let t be -1*15*1/(-3). Suppose 0 = t*q - q - 148. Does 22 divide q? False Let y(f) = 2*f**3 + 4*f**2 + 5*f + 8. Is y(4) a multiple of 20? True Suppose -q + 83 = -5*k, 0 = -4*q + q - 3*k + 159. Is q a multiple of 13? False Let d = -26 + 44. Suppose p + 9 = -d. Is 13 a factor of (1 - (p + 0)) + -2? True Let s(f) = -99*f - 1. Let u be s(-3). Suppose 3*w = 5*w + u. Let r = -89 - w. Is r a multiple of 17? False Let p(x) = x - 45. Let i be p(0). Let w(u) = u**2 - 6. Let k be w(0). Does 10 divide (8/k)/(6/i)? True Let n = -4 + -5. Is 11 a factor of (6/n)/2*-111? False Let h(t) = -5*t**2 + 3*t + 2. Let f be h(3). Let p = f + 48. Does 10 divide p? False Suppose 0 = s - 8*s + 875. Is s a multiple of 35? False Is 17 a factor of (90/12)/((-3)/(-18))? False Is 2 a factor of 9/(-7) + 1 + (-1060)/(-35)? True Let s be 4/(-18) + (-173)/(-9). Suppose -4*c + 6 - 3 = -j, 3*j = 2*c - s. Let x = j - -17. Does 8 divide x? False Suppose 5*q - 6 = 9. Suppose -7 = -q*p + 5. Is p a multiple of 3? False Let h = 2 + 0. Suppose 5*f - h*f + 6 = 0. Let m = 5 - f. Does 7 divide m? True Suppose 4*c - 4*l = 688, 5*c - 4*l = 569 + 294. Does 25 divide c? True Let o(n) = 24*n**2 + 3. Let w be o(3). Suppose 201 = 5*s - w. Is 28 a factor of s? True Suppose -5*m + 5*b = 3*b + 90, -4*m + 2*b - 74 = 0. Let n = -2 - m. Is n a multiple of 14? True Suppose 3*c - 4*c + 3 = 0. Suppose 43 + 77 = c*a. Is a a multiple of 14? False Suppose 0 = t - 4 + 2. Let c = 2 - t. Suppose 5*a - 150 = -c*a. Is 15 a factor of a? True Suppose c - m - 2*m + 9 = 0, -32 = -4*c - 5*m. Suppose c*n = -5*h + 7, -2*n = -3*h - 4 - 7. Does 3 divide 1/(n/3 - 1)? True Suppose -15*r + 348 = -3*r. Is 9 a factor of r? False Let w(j) = 16*j**3 - j**2 - 2*j + 1. Let d be w(2). Let f = 73 - d. Let b = f + 68. Is b a multiple of 12? False Suppose -3*u - 6 = -39. Let b(h) = 8*h - 5. Let a be b(5). Suppose a = 3*t + u. Is 4 a factor of t? True Suppose -g + 3*g = -3*y + 113, -2*g = -5*y - 89. Suppose 5*v - 5 - 10 = 0. Suppose v*n + g = 5*n. Is n a multiple of 13? True Suppose 3*x + 3*y + 6 = -0*x, -3*y = -5*x + 6. Suppose 0*m - 2*m + 90 = 0. Suppose x*i + m = 5*i. Is i a multiple of 9? True Suppose 8*d = 5*d + 6, 3*a + 4*d = 149. Is a a multiple of 9? False Suppose 0 = -11*c + 6*c + 210. Is c a multiple of 6? True Let p(f) = -9*f + 3. Does 15 divide p(-4)? False Suppose -81 = -5*h + 69. Is h a multiple of 10? True Suppose -5*o - 2 = -7. Let t = o + 29. Is t a multiple of 30? True Let f(x) = -2*x + 13. Let u(n) = -n + 4. Let v(k) = -4*f(k) + 14*u(k). Let j be v(-5). Let g = j - 15. Is 19 a factor of g? True Let s = 5 + -3. Let r(d) = 5*d**2 - 2*d**s + 3 - 8*d + 0. Does 14 divide r(5)? False Let a(y) = -y**2 - 7*y + 11. Let g be a(-8). Suppose 0 = u - g + 1. Does 2 divide u? True Suppose -5*n = -6*n + 14. Let l = n - -19. Does 11 divide l? True Suppose 2*w + 2*z - 67 = z, -5*w = 2*z - 167. Suppose -m + 9 = -2*m. Let g = m + w. Does 12 divide g? True Is 1/1*(35 + 2) a multiple of 3? False Let y be -3*(-4 + (-20)/(-6)). Is 12 a factor of (y + (3 - 3))*21? False Suppose 0 = 4*b - 127 - 33. Is b a multiple of 7? False Let r(g) = g**2 - g - 1. Let q(j) = -2*j**2 - 6*j + 7. Let t(n) = q(n) + r(n). Suppose -2*y - 12 = -0*y. Is t(y) a multiple of 12? True Let h = -3 - -30. Is 13 a factor of h? False Let i be -1 + (0 - -1 - -63). Suppose -u = -4*u - i. Does 10 divide u/(-24)*10*4? False Suppose 7*o - 51 = 4*o. Let x(c) = -c**2 + 9*c + 16. Let z be x(9). Suppose o = 3*q - z. Is 11 a factor of q? True Let k be 1 - (-2 + 3 + -27). Let l = 3 + k. Does 12 divide l? False Let w = 25 - -125. Is w a multiple of 26? False Let y(p) = -p**2 - 13*p + 7. Suppose 45 = -0*l + 5*l. Suppose 4*u + v = 4*v - 43, -u - l = v. Is 16 a factor of y(u)? False Let r be -3*((-8)/6)/4. Let z be r*4*(-156)/(-8). Suppose -z = -2*n - n. Is n a multiple of 13? True Suppose 5*a - 25 - 305 = 0. Does 33 divide a? True Let t = -32 + 92. Is 24 a factor of t? False Suppose 58 + 89 = 4*m - k, 0 = 3*m + k
{ "pile_set_name": "DM Mathematics" }
- 1. Suppose 9 = 2*o - 5. Suppose 4*b = 13 + o. Let j be w(b). Solve -j*c - 2 - 14 = 0 for c. -4 Suppose 10 = 2*t - 2*a, -3*a = 4*t - 6*a - 15. Solve -d + 3 = -t*d for d. 3 Let y(z) = z**3 - 11*z**2 + 2*z - 9. Let q be y(11). Solve 4*d + 5 = q for d. 2 Let w = -28 + 28. Solve w = -0*u - 3*u - 9 for u. -3 Let m be 40/18 - (-6)/(-27). Let w be ((-2)/5)/(6/(-30)). Suppose -3*r - w*v + 51 = 0, -v + 33 = 3*r - 15. Solve 3*c - r = -m*c for c. 3 Suppose 2*p + 0*p = 0. Solve 3*b - 2*b = p for b. 0 Let i be 1 + (-2)/4 + (-1)/2. Solve q + 3*q + 12 = i for q. -3 Suppose k = -2*g - 8, 10 + 10 = -k - 5*g. Let y = 13 - 7. Solve k = 4*j - 2 + y for j. -1 Let q = 52 + -44. Solve b - q = -3*b for b. 2 Let d(j) = -2*j - 2. Let i be d(-7). Suppose 2*l - i = -l. Solve -l*k = -k for k. 0 Let u(s) be the first derivative of s**3/3 - 3*s**2 + 5*s + 1. Let x be u(6). Solve 3*z - x*z = 8 for z. -4 Suppose -3*b + 9 + 12 = -3*k, 21 = 3*b + 4*k. Suppose p + 3*o = -13, -b*p - o + 3 = -3*p. Solve p*f = 3*f + 2 for f. -2 Let j(b) = b**2 + 14*b. Let m be j(-14). Let q be m/(2/(4/(-6))). Solve q = 2*c + 4 - 6 for c. 1 Let i(b) = -3*b - 10. Let f = -23 - -13. Let w be i(f). Solve 4*n + n = w for n. 4 Let n be (1 - 0)/(1/3). Let c be (8/14)/(4/14). Suppose 2*q = -c*q + 28. Solve -n*m - q = -4 for m. -1 Suppose -10*b + 7*b = 0. Solve d + 1 = -b for d. -1 Let a(l) = 3*l + 2*l**2 - 4*l**2 - l**2 + 4*l**2. Let b be a(-5). Solve -4*w = 2 - b for w. 2 Let u = -38 + 42. Solve -u*c + 3 = 7 for c. -1 Let g be (-264)/10 + 8/20. Let c = g + 36. Solve -x = x + c for x. -5 Suppose -4*g = 5*v - 11, 5*g - 4 = -2*v + 3*g. Solve -12 = -0*w - v*w for w. 4 Let i(b) = 3*b - 8. Let o be i(4). Solve o = -k - 0 for k. -4 Suppose 4*i + 34 = 3*v, i - 16 = v - 2*v. Let j = v - 13. Solve -j = -n - 0 for n. 1 Suppose -2*a + 9 = -3*a. Let t be 1 - 2/(2/a). Solve -t = -3*k - 1 for k. 3 Suppose -6*y = -5 - 1. Let t be 96/40 + 4/(-10). Solve 0 = -m + t + y for m. 3 Suppose -48 = 5*g + 7*j - 3*j, -3*j = -2*g - 10. Let y(z) = -z**2 - 8*z. Let a be y(g). Solve -t + 5 = -a*t for t. 5 Suppose 0 = 6*l - 5*l - 3. Suppose l*p - 20 = -2*p. Suppose 3*d = 4*j + 81, 2*j - 98 = -4*d + 4*j. Solve 3 = p*s + d for s. -5 Let q(m) = m**2 + 2*m - 3. Let c be q(2). Suppose c*g - 52 = y + 3*y, y = 4*g - 35. Solve 2*j - g = 4*j for j. -4 Let s(h) = 0*h + h**3 - h + 3 - 3 - 2 + 7*h**2. Let y be s(-7). Solve 6 = -y*u - 14 for u. -4 Let h(o) = o**3 + 4*o**2 - 13*o - 4. Let a be 2/5 + (-256)/40. Let k be h(a). Solve v - 3 = k for v. 5 Let v be (-1 - 9/(-6))*6. Suppose -v*o + 0 + 15 = 0. Solve 5 = o*a - 15 for a. 4 Let z be 0/(4 - (-12)/(-4)). Solve 5*x + 3 + 7 = z for x. -2 Suppose -3*v = -3*f + 9, 0 = 3*f + 2*v + 1 - 5. Solve 2*c = -f*c + 4 for c. 1 Let l(c) = -c**3 - 7*c**2 - 3. Let a be l(-3). Let d be 6/(-4)*52/a. Solve -3*b = -d*b + 2 for b. -2 Let y(t) = -2*t + 0*t**2 + t**2 - 2*t + 3*t. Let m be y(2). Solve -4*a + m = -2*a for a. 1 Let q(a) = a**2 + 5*a + 5. Let x be q(-4). Let d = -10 + 11. Solve k = x + d for k. 2 Let v(c) = -c**2 - c + 2. Let i be v(-2). Solve i = -5*s - 0*s + 5 for s. 1 Let g(f) = f**2 + 5*f - 3. Let v be g(-3). Let u = 19 + v. Suppose 5*b - u - 15 = 4*n, -2*n - 4*b + 20 = 0. Solve n*m = -3*m + 3 for m. 1 Suppose 2*u - 2*w - 10 = 0, 3*u + 10 = 5*u - 3*w. Suppose u*m = 7 + 23. Suppose -3*z = -0 - m. Solve 0*g = g - z for g. 2 Suppose 53 = -4*s + 3*a, -12 + 68 = -3*s - a. Let u = -6 - s. Solve -5*i - 1 = -u for i. 2 Suppose 3 = -2*q + 9. Solve 5 + 4 = q*t for t. 3 Suppose 0 = 8*g - 2 - 22. Solve 0 = 2*q + 1 - g for q. 1 Let o(l) = -l**3 + l**2 - l + 5. Let a be o(0). Let x = 6 + a. Solve -3 = 2*y - x for y. 4 Suppose 2*t + 0*t - 180 = 0. Let k be 4/((-9)/(t/(-8))). Solve 5 - 10 = k*d for d. -1 Let a(v) = v**3 + 16*v**2 + 12*v - 40. Let w be a(-15). Solve w = -4*t + 3*t for t. -5 Suppose -2*i = -3*i. Suppose -9 = -j - 2*j. Suppose j*z = -z. Solve z = -i*d - d + 1 for d. 1 Let c(x) = 2*x - 13. Let d be c(7). Solve 0 = -4*b - 3 - d for b. -1 Suppose 2*r - 1 = 9. Suppose r*f + 8 - 38 = 0. Let i be (f/(-15))/(2/(-40)). Solve 0*o = 2*o + i for o. -4 Let u(c) = 2*c - 1. Let k be u(-1). Let n = k - -5. Solve 3*j = n + 1 for j. 1 Let v be (-17)/3 + (-4)/(-6). Let z(w) = -w**2 - 5*w - 6. Let o be z(v). Let s(b) = -b**3 - 5*b**2 + 4*b - 7. Let p be s(o). Solve 0*n - n - p = 0 for n. -5 Let z be -4*(-3)/6 + 3. Suppose z*l - 2 = 8. Let d be 2 - 4 - 0 - -4. Solve -d*r - l = 8 for r. -5 Let s = 9 - 5. Suppose -2*a + 0*a - 56 = 0. Let g be 74/8 + (-21)/a. Solve g + 6 = -s*f for f. -4 Let r(q) = -4*q - 5. Let p(m) = -m**3 - 7*m**2 - 7*m - 2. Let u be p(-6). Suppose -5*t - 25 = 4*z + 31, -u*z = 16. Let k be r(t). Solve 0 = 5*s + k - 2 for s. -5 Suppose 3*o = 4*n - 10, 2*o + 3*n + 2 = 1. Let r be (4/5)/(o/15). Let z(p) = p**2 + 7*p + 8. Let m be z(r). Solve m*s = 4 + 2 for s. 3 Let d(o) = -o + 13. Let g be d(9). Solve 2 - 10 = g*k for k. -2 Suppose -5*z + 3*z + 68 = 0. Suppose -4*o = -2*o - z. Suppose -4*q + 9*q = -s + 45, -o = q - 5*s. Solve -3*v = -v - q for v. 4 Let h(p) be the third derivative of -p**4/6 + p**3/2 + 2*p**2. Let g(s) = -s**2 - s + 3. Let u be g(-3). Let t be h(u). Solve 0 = -3*l + 6*l - t for l. 5 Let c be (3/(-3))/((5/(-3))/5). Solve 3 = -c*z + 2*z for z. -3 Suppose -4*d + 2*z + 23 = -31, -5*d - 5*z + 45 = 0. Solve -2*v = -6*v - d for v. -3 Let p = 13 + -13. Suppose p = 4*j + j - 20. Solve -2*l - 4 = -j*l for l. 2 Suppose 0*h + u = h - 17, 3*h = 4*u + 53. Solve -2*z - h = -7*z for z. 3 Let i be ((-1)/(-4) + 0)*4. Solve 3*b - i + 4 = 0 for b. -1 Let a(j) = j**3 + 21*j**2 + 20*j + 1. Let q be a(-20). Solve w = -q - 2 for w. -3 Let u(i) = i**2 - 8*i. Let p be u(8). Solve 5*o + p*o = -15 for o. -3 Let t be 56/(-6) + 8/(-12). Let p be (3/(-2))/(1/t). Solve 0 = -0*h + 3*h - p for h. 5 Suppose -95 = -119*u + 114*u. Let z = 7 + -3. Solve z*h - 7 = -u for h. -3 Let k = 16 - 14. Suppose -k = -u - 0*u. Solve u*g - 1 = 7 for g. 4 Let f be (-3)/(-2) - 30/(-4). Let l = -3 + f. Solve -h = -3*h - l for h. -3 Let n be (2*-1 - -2)*-1. Let w = n - 4. Let c = 11 + w. Solve c + 3 = -5*g for g. -2 Let m = -5 - -2. Let s be 1/(m/((-30)/2)). Solve l + s = 2 for l. -3 Let l(p) = p + 5. Let m be l(-5). Suppose m*o = -5*o + 80. Solve -2*b = 2*b + o for b. -4 Let u(r) = r**2 + 10*r. Let s(l) = -l - 1. Let d(x) = 4*s(x) + u(x). Let p be d(-7). Solve -p*b + 7*b = -16 for b. -4 Let a = 2 - -3. Suppose -y - 5*s + 90 = 4*y, 0 = 3*y + 5*s - 58. Solve a*v = v - y for v. -4 Let m be (-8)/(-16) - (-1)/(-2). Solve 6 + m = 3*t for t. 2 Suppose -5*n + 4*f + 120 = 0, 3*n + 0*f - 45 = -3*f. Solve -t + n = 3*t for t. 5 Let c be -2*(-4)/5*5. Suppose -q + 3*m = -8, -4*q + 2*q = -2*m - c. Solve 0*l - 2 = -q*l for l. 1 Let r be -2 + (-12)/(-4) + 3. Solve 3*g - r*g = 3 for g. -3 Let y = 3 - 1. Let t(k) = 5*k + 1. Let d be t(1). Solve -y*v - v = -d for v. 2 Let f = -10 + 17. Let l be 2/14 - (-8)/(-56). Suppose -3*c + f*c - 24 = l. Solve 5*a - 5 = c*a for a. -5 Suppose -28*o + 25 = -23*o. Solve -o*i - 6 = -3*i for i. -3 Let w(c) = 2*c**2 + 9*c + 6. Let a be w(-6). Let u be (-2)/(-4)*(4 + a). Solve u = -5*n - 6 for n. -4 Let a(d) = -3*d**2 + 27*d. Let x(w) = w. Let s(f) = -2*f + 4. Let m be s(3). Let i(t) = m*a(t) + 54*x(t). Let l be i(-1). Solve 0*q = 2*q + l for q. -3 Suppose -3 - 29 = -8*v. Let h(s) = s**2 - 4*s - 2. Let w be h(5). Let q = -2 + 4. Solve q + v = w*x for x. 2 Let p = 3 - 4. Let h be 0 + p + 2 + 1. Suppose 2*f = -h*f + 8. Solve f*y = y for y. 0 Let r be 11*(1 - -3)/(-4). Let v(z) = z + 11. Let q be v(r). Solve q = 2*x + 3 - 9 for x. 3 Suppose j = f - 2 + 3, 4*j + f = -1. Suppose 3*o = s - 22, -5*s + 140 = -6*o + o. Suppose 4*b = c + s - 12, -5*b - 2*c = -14. Solve k - b + 2 = j for k. 2 Suppose 0*i = -4*i + 24. Suppose -16 = 2*o - 3*h, -3*h = o + 2*o - i. Let r = 6 - o. Solve -r*p - 20 = -3*p for p. -4 Suppose -4*a + 14 = -6. Suppose 2*q - a*z + 19 - 4 = 0, -4*z = -12. Let x(j) = -j**3 + 6*j**2 + j - 4. Let u be x(6). Solve u*y + 3*y - 5 = q for y. 1 Suppose 4*j - 14 - 2 = 0. Suppose j*i - 6*i + 18 = 2*l, -3*l + i = -15. Solve l*v - 2 = 4*v for v. 1 Suppose -5*y + 63 = -47. Solve -2 = 4*o - y for o. 5 Let b = -40 + 43. Solve 2 = 4*v - b*v for v. 2 Suppose 0 = 2*h - 4*i + 10, h - 15 = -0*h - 3*i. Solve 0 = h*g - g for g. 0 Suppose 0 = 2
{ "pile_set_name": "DM Mathematics" }
07 divided by 7? 3007/7 1863432 divided by 6 310572 -165 divided by 186 -55/62 Calculate -56108 divided by 1079. -52 What is -2977 divided by -13? 229 Calculate 16 divided by -14205. -16/14205 What is -401793 divided by -7049? 57 69 divided by -843 -23/281 What is -18888 divided by -3? 6296 What is -5780 divided by -2? 2890 What is 17 divided by -56? -17/56 Divide 11 by 13465. 11/13465 -995472 divided by 41478 -24 Divide 190 by -85. -38/17 What is -392115 divided by 130705? -3 31 divided by 76 31/76 Divide 312 by 169. 24/13 43368 divided by 5421 8 What is -2118044 divided by -17081? 124 What is 55 divided by 314? 55/314 Calculate -43182 divided by -21591. 2 What is 1485 divided by -297? -5 2 divided by -23513 -2/23513 What is 0 divided by -3090? 0 Calculate 1745401 divided by 37. 47173 Divide -351512 by 2. -175756 Calculate -281883 divided by 6. -93961/2 Divide -663195 by 3. -221065 What is 0 divided by 9076? 0 -68054 divided by 9722 -7 What is 1 divided by -1261034? -1/1261034 -110400 divided by -4 27600 -135422 divided by 7 -19346 -143004 divided by -4206 34 2856135 divided by -1 -2856135 Divide -21948 by -7316. 3 Divide 53131 by 4087. 13 Calculate 1 divided by -308986. -1/308986 8823 divided by -17 -519 What is 27875 divided by 223? 125 Divide -10602 by 1. -10602 -503 divided by 761 -503/761 Calculate 35 divided by -11993. -35/11993 Calculate 176583 divided by 2. 176583/2 Divide -1319358 by -118. 11181 Calculate 12615 divided by 29. 435 Calculate 18372 divided by -12. -1531 Divide -282430 by -5. 56486 Calculate -1808826 divided by -6. 301471 What is -1697 divided by -22? 1697/22 9894 divided by -2 -4947 11656 divided by 16 1457/2 Divide -142777 by -2. 142777/2 Calculate 1926 divided by 470. 963/235 -501200 divided by 100 -5012 Calculate -561176 divided by 28. -20042 What is -93 divided by -25961? 93/25961 58570 divided by -58570 -1 Divide -1940 by 38. -970/19 Divide -315 by 3942. -35/438 Divide -3027469 by 1. -3027469 Calculate 81435 divided by 305. 267 -7337 divided by -42 7337/42 Calculate -28 divided by -127530. 14/63765 Calculate 344817 divided by 3. 114939 What is 0 divided by 415492? 0 Divide -794952 by 18. -44164 Calculate -174840 divided by 564. -310 Calculate 2 divided by 80243. 2/80243 -92950 divided by -845 110 1786536 divided by -12 -148878 -559772 divided by 5 -559772/5 Calculate 2345409 divided by -1. -2345409 55210 divided by 4 27605/2 Divide -530048 by 4. -132512 3 divided by 713673 1/237891 207969 divided by -69323 -3 713427 divided by -18293 -39 Divide 4240548 by -6. -706758 -3238972 divided by -809743 4 -4 divided by -104378 2/52189 Calculate -2 divided by 51425. -2/51425 Divide 87885 by -3255. -27 What is 87148 divided by 14? 43574/7 What is 9174 divided by 2? 4587 176700 divided by 100 1767 Calculate -5568 divided by -24. 232 What is -65 divided by -470? 13/94 Divide 3 by 13677. 1/4559 Divide 400296 by -5. -400296/5 Calculate 52080 divided by -210. -248 -72055 divided by -3 72055/3 What is 54718 divided by -27359? -2 What is 880 divided by 33? 80/3 Calculate -50790 divided by -8465. 6 Divide 948 by 316. 3 Divide -222013 by 1. -222013 Divide 0 by 10016. 0 Calculate 2204 divided by -116. -19 Calculate 6236 divided by -16. -1559/4 What is -6400 divided by -200? 32 Calculate 1918798 divided by -16261. -118 Divide 5 by 208706. 5/208706 -2164 divided by -727 2164/727 What is -1006740 divided by -10710? 94 -19934 divided by 64 -9967/32 16 divided by 9399 16/9399 Divide -221445 by -1. 221445 Calculate 561213 divided by 187071. 3 Divide 84132 by -18. -4674 -117120 divided by -61 1920 Calculate -186356 divided by -46589. 4 What is 314 divided by 1178? 157/589 Calculate 901 divided by 2. 901/2 Calculate -344440 divided by 17222. -20 What is -1552551 divided by -329? 4719 What is 1476048 divided by -4? -369012 What is -82539 divided by 5? -82539/5 Calculate -123056 divided by -2. 61528 486984 divided by 24 20291 -168809 divided by 1 -168809 13680 divided by -228 -60 What is 121824 divided by 16? 7614 What is -5773 divided by -22? 5773/22 Calculate -19637 divided by -56. 19637/56 Calculate -65 divided by -28. 65/28 -7530 divided by 3 -2510 -88107 divided by -2049 43 What is 2291176 divided by -2? -1145588 What is 219606 divided by -4? -109803/2 Calculate 0 divided by -17726. 0 Divide -1395 by 595. -279/119 What is 20148 divided by 146? 138 Divide 72 by 2. 36 Calculate -85200 divided by -5680. 15 50308 divided by -10 -25154/5 Divide 113 by -385. -113/385 Calculate -2980560 divided by 3. -993520 -2 divided by 3061 -2/3061 Divide 2145968 by 1072984. 2 Divide 0 by -7847. 0 Divide 136942 by -3. -136942/3 Calculate 23217 divided by 23217. 1 Calculate -1 divided by 180035. -1/180035 Divide -398156 by -4. 99539 What is -628864 divided by -289? 2176 Calculate 776963 divided by 20999. 37 -2618148 divided by 1014 -2582 4676 divided by 668 7 What is -55 divided by -7088? 55/7088 117370 divided by -2 -58685 -231886 divided by -3266 71 27090 divided by 1 27090 1800 divided by 144 25/2 Calculate 26818 divided by -1. -26818 Calculate 0 divided by 85921. 0 Divide -385444 by 3. -385444/3 What is 240 divided by -111? -80/37 Calculate 34 divided by -396. -17/198 Calculate 380640 divided by 6. 63440 Divide 1718520 by 10. 171852 Divide -2635578 by -1317789. 2 Calculate -77170 divided by 9. -77170/9 What is 40563 divided by -4507? -9 27 divided by -121 -27/121 What is -4105710 divided by -35? 117306 -146913 divided by 2 -146913/2 What is 5013 divided by 300? 1671/100 Divide -1405 by -668. 1405/668 Divide -855404 by -19441. 44 What is 4 divided by -9057? -4/9057 What is -10656 divided by -148? 72 -5549 divided by 6 -5549/6 Divide 5 by 12220. 1/2444 Divide -45650 by -913. 50 Divide 323 by -69. -323/69 615498 divided by 205166 3 Calculate -2328752 divided by 145547. -16 Divide 4731 by -169. -4731/169 Divide 11790 by -3. -3930 What is -64 divided by 1910? -32/955 Calculate 0 divided by 768402. 0 What is -25824 divided by -25824? 1 -14700 divided by -1470 10 Divide -6967 by 68. -6967/68 Calculate -56435 divided by -49. 56435/49 What is -15 divided by -892? 15/892 Calculate -131560 divided by -230. 572 Divide 9132902 by 2. 4566451 What is 58674 divided by -5? -58674/5 80 divided by -452 -20/113 -59 divided by -23508 59/23508 Calculate 272406 divided by -1. -272406 Divide -8343812 by 3838. -2174 Calculate 4437678 divided by 233562. 19 -248302 divided by -3706 67 -7671 divided by 6 -2557/2 109824 divided by -27456 -4 What is -11651635 divided by -5? 2330327 -2101648 divided by -2 1050824 -132 divided by 132 -1 Calculate 11 divided by 19161. 11/19161 Divide 2930012 by -2. -1465006 Calculate 482 divided by 3332. 241/1666 What is -10 divided by 205444? -5/102722 Divide -2 by 1064. -1/532 What is 0 divided by 301882? 0 What is -209417 divided by 1? -209417 Calculate -21 divided by 4940. -21/4940 What is -1735710 divided by 6? -289285 Calculate 11 divided by -28742. -11/28742 Divide 1315998 by 9. 146222 Calculate -6256 divided by 6. -3128/3 Divide 2 by 1750. 1/875 Calculate 2510748 divided by -12942. -194 Divide 1022 by 33. 1022/33 Divide -127987 by 1. -127987 Calculate 899262 divided by -1281. -702 Divide 2620266 by 70818. 37 Calculate -5632 divided by -352. 16 1872588 divided by 116 16143 -236188 divided by 1 -236188 Divide 6666 by 38. 3333/19 Divide 4 by 11199. 4/11199 Divide 9220 by -461. -20 963214 divided by -749 -1286 -28291 divided by -13 28291/13 Calculate 0 divided by 134496. 0 24 divided by -3047 -24/3047 Calculate 331815 divided by -30165. -11 Calculate -19550 divided by 782. -25 Divide 104 by -2265. -104/2265 0 divided by 2660 0 What is -105876 divided by -52938? 2 111 divided by -205 -111/205 904158 divided by 2 452079 What is 254388 divided by 51? 4988 Calculate 40 divided by -235. -8/47 Divide 26 by 523. 26/523 7 divided by 533 7/533 What is -4 divided by -56890? 2/28445 Divide 3162 by -20. -1581/10 -106212 divided by 3 -35404 Divide 791268 by 849. 932 Calculate -405 divided by -11. 405/11 What is 2421 divided by 6? 807/2 36315 divided by 7263 5 What is -2001828 divided by -69? 29012 -28698 divided by 6 -4783 Calculate 157836 divided by 78918. 2 Divide 642 by 625. 642/625 Divide -1 by -216121. 1/216121 Calculate 5 divided by -18681. -5/18681 Calcu
{ "pile_set_name": "DM Mathematics" }
38 = -3*y. Calculate the greatest common factor of y and 18. 6 Let w be (-7)/21*(-230 - -2). What is the highest common divisor of 988 and w? 76 Let f = -395 + 204. Suppose l + 3 = 344. Let v = l + f. Calculate the highest common divisor of 60 and v. 30 Let n = -25 + 19. Let b = n + 34. What is the greatest common factor of 14 and b? 14 Suppose 2*h = -3*q + 78, -2*h = -5*q + 117 + 29. Calculate the greatest common factor of 70 and q. 14 Suppose 4*r = 3*p + 40, -5*r - 4*p - 23 = -6*r. Let o = 24 + -17. What is the greatest common factor of r and o? 7 Let s be 96/(-5)*680/(-51). Calculate the highest common factor of s and 32. 32 Let m(d) = 2*d + 1. Let u be m(10). Calculate the highest common divisor of u and 147. 21 Suppose 5*o = -2*w + 394, 2*w = -3*o - o + 314. Let p(g) = -37*g - 8. Let k be p(-4). Let n = k - o. What is the highest common factor of n and 20? 20 Let z(h) = 2*h**3 - 3*h**3 - 6 - 10*h + 0*h**3 + h**2 + 11*h. Let o be z(-4). Calculate the greatest common divisor of o and 28. 14 Let f(k) = 4*k**2 + 3*k - 4. Let r be f(-2). Suppose j = 49 - 48. Calculate the highest common divisor of j and r. 1 Suppose -4*d + 7899 = 2*b - 191, -8065 = -4*d + 3*b. Calculate the highest common divisor of d and 20. 20 Let q be (88/55)/((-6)/(-60)). What is the highest common divisor of q and 2032? 16 Let i = 147 + -87. Let t(y) = 22*y**2 + 9*y + 7. Let z be t(-1). Calculate the highest common divisor of i and z. 20 Let c = -18 - -10. Let i = c + 8. Suppose -g = 5*r - 96, -6*g + g - 20 = i. What is the greatest common divisor of r and 10? 10 Let h be 5/6 - 4669/(-42). What is the highest common factor of 4 and h? 4 Let u(c) = -20*c - 141. Let x be u(-10). What is the greatest common factor of x and 885? 59 Let h(n) = -n - 8. Let a be h(-12). Suppose 4*w + 1 = -b - 1, a*w = -4*b + 52. Let k = 11 + -8. What is the greatest common factor of b and k? 3 Let f be (2109 - 9)*20/15. Calculate the highest common factor of 8 and f. 8 Suppose -95 = -6*i + i. Let g = i + 131. Suppose 0*z + 45 = 3*z. Calculate the highest common factor of z and g. 15 Suppose -4*n - 2*s - s + 71 = 0, s - 33 = -2*n. Let y = -9 + n. Suppose 66 + 74 = y*u. Calculate the highest common factor of u and 42. 14 Let o = -5 - -4. Let i be o - (-1)/2*2. Suppose i = -p - 0*p + 3. Calculate the highest common divisor of 2 and p. 1 Suppose 8 = -2*b - 2, 5*w + 3*b + 70 = 0. Let p(z) = -6*z + 4*z + 13 - 2*z + 2*z. Let d be p(w). What is the greatest common divisor of 245 and d? 35 Let r = 304 + -206. Suppose -41 = -5*w + 29. What is the highest common factor of r and w? 14 Let d = 28 - 26. Suppose -d*q = -3*f - 65, -6*q = -2*q + f - 123. Let x = q + -11. What is the highest common divisor of x and 40? 20 Let o(m) be the third derivative of m**2 + 1/12*m**4 + 0*m + 3*m**3 + 0. Let i be o(6). What is the highest common divisor of 12 and i? 6 Let p(x) = 4*x - 24. Let c = 22 - 6. Let f be p(c). Calculate the greatest common factor of 16 and f. 8 Suppose -2*u + 17 + 27 = 0. Suppose -u = 3*t - 5*t. What is the greatest common divisor of 22 and t? 11 Let l(f) = f + 2. Let c be l(-3). Suppose 0 = -83*o + 89*o + 24. Let w be (1 - c)/(o/(-30)). What is the greatest common divisor of w and 105? 15 Let g(l) = 2*l**3 - 9*l**2 + 22*l. Let n be g(4). Calculate the highest common divisor of n and 360. 72 Let i be (-61)/((-256)/36 + 7). Calculate the highest common divisor of 9 and i. 9 Let c(q) = 2*q**3 - 64*q**2 + 31*q - 117. Let t be c(32). What is the greatest common factor of 35 and t? 35 Suppose 3*d + 423 - 447 = 0. What is the greatest common divisor of d and 1? 1 Suppose -5*f = 3*c - 455, -3*f = 2*f - 20. Let r = c + -65. Suppose 0 = -5*n + 3*v + 35, 2*n - 6 - 9 = v. What is the highest common factor of r and n? 10 Suppose p - 53 = -67. Let k be (-3)/((p/(-14))/((-30)/2)). What is the highest common factor of k and 18? 9 Let d(r) = -4*r + 14. Let n be d(0). Calculate the greatest common divisor of n and 147. 7 Suppose 4 = -2*w + 2*b, -33 + 11 = -5*w - 3*b. Let h(z) = z**3 + 2*z**2 + z - 1. Let g be h(w). Calculate the highest common factor of g and 136. 17 Let i be -3 + 1*(-4)/(12/(-15)). Suppose -s = i*s - 60. Calculate the greatest common divisor of s and 10. 10 Suppose 13*s - 49 = 341. Let g = 70 + 35. Calculate the greatest common divisor of g and s. 15 Suppose 22*a = 37*a - 135. Calculate the highest common divisor of a and 39. 3 Suppose 0 = 6*h - 7*h + 63. Suppose 5*p = -2*p + h. Let s be (-8)/(-2)*p/6. Calculate the greatest common factor of s and 66. 6 Suppose -195 = -9*m + 183. Calculate the highest common factor of 147 and m. 21 Let i be (-33 - -4)/1*-3. Let b = i + -63. Calculate the highest common divisor of 8 and b. 8 Let v = 2005 + -1987. Calculate the highest common factor of v and 153. 9 Let h = -3 + 3. Suppose -i - w = h, -i + 4*w + w = -6. Calculate the greatest common factor of 2 and i. 1 Let f(s) = -15*s - 925 - s**2 + 905 + 0*s**2. Suppose -4*a = 24 + 20. Let b be f(a). Calculate the highest common divisor of 264 and b. 24 Let y = 1478 - 318. What is the greatest common factor of 120 and y? 40 Let t be ((-798)/(-171))/(2/42 + 0). Let v = -7 + 8. Let q be (2/1)/(v/7). What is the highest common divisor of q and t? 14 Let u = -24 + 14. Let f(j) = 2*j**2 - 4*j + 8. Let k be f(u). Let i be k/14 - 8/(-28). Calculate the greatest common divisor of i and 198. 18 Let u be (184/(-16))/(1/(-2)). Calculate the greatest common factor of 46 and u. 23 Let h(b) = b**2 - 29*b - 18. Let a be h(30). Suppose 5*s - 4*n + 6*n = 25, s - 3*n + a = 0. Calculate the highest common divisor of s and 6. 3 Suppose 20*x - 3308 = 3172. Calculate the highest common divisor of x and 72. 36 Let c(a) = a**3 - 7*a**2 - 8*a + 5. Let w be c(8). Suppose -j = -w*i - 6*j + 265, 3*j = -4*i + 213. Calculate the highest common factor of i and 6. 6 Let l = 42 + -27. Suppose h - 2*h - 2*m = -83, -2*h + 134 = -4*m. Calculate the highest common factor of h and l. 15 Let k = 111 + -15. Suppose -t + 4 = 0, i = 5*i + 4*t - k. Calculate the greatest common divisor of i and 100. 20 Let f = -8 - -8. Let y be (1 - 2) + f + 2. Let q be y/(2/(-4) + 1). What is the highest common divisor of 8 and q? 2 Suppose -2*w + 455 + 380 = -q, 3*q = -4*w + 1695. Calculate the highest common divisor of 28 and w. 28 Let i = -267 - -268. What is the highest common divisor of i and 31? 1 Let a(x) = x**2 - 41*x - 296. Let o be a(48). Calculate the greatest common divisor of o and 5400. 40 Let j(p) = 257*p**2 - p + 1. Let l be j(1). Let f = -173 + l. Let u be 12 - (0/(-1))/1. Calculate the highest common divisor of u and f. 12 Suppose -u - 4*u + 4*d = -54, -3*u + 4*d = -34. Let b = 17 - u. Suppose -p + 3*r + 3 = 0, 0*p - b = -2*p + 5*r. What is the highest common divisor of 18 and p? 6 Let r = -1182 - -1191. Calculate the greatest common factor of 612 and r. 9 Let x(g) = 4*g**3 + g**2 - 3*g - 2. Suppose 0 = -8*a - 9 + 25. Let s be x(a). What is the greatest common divisor of 70 and s? 14 Suppose 5*n - 9*w = -7*w + 8465, 0 = 4*n - 5*w - 6789. What is the highest common divisor of n and 19? 19 Let y be (-22)/(-8) - (-12)/(-16). Suppose -a + 528 = y*a. Calculate the highest common factor of 16 and a. 16 Let n be (-6)/(-21) + (-215)/(-7). Suppose -3*o + 5*c + n = o, c = -4*o + 13. What is the highest common factor of o and 8? 4 Let s be (4 - 15)*8 - 0/3. Let j = -38 - s. Calculate the highest common divisor of 150 and j. 50 Let a = -28 + 23. Let r be 6*(a + 1 + 88/16). Calculate the highest common divisor of 3 and r. 3 Suppose r - 5*k = 636 - 215, -1247 = -3*r - k. Calculate the greatest common factor of r and 52. 52 Let q(v) = -3*v + 44. Let h be q(0). Suppose 0 = -0*m + 4*m - 1584. Calculate the highest common divisor of h and m. 44 Let z(h) be the first derivative of h**4/4 - h**3/3 + 4*h**2 + 2. Suppose 0 = 6*o - 20 - 4. Let p be z(o). What is the greatest common factor of 16 and p? 16 Let k be -7*(234/(-429) + 10/(-22)). Let b be (-3)/(-12) - (-18)/(-8). Let c = 3 + b. Calculate the greatest common divisor of k and c. 1 Let t be (-92)/207 - (-2744)/18. What is the highest common divisor of 114 and t? 38 Let u(j) = -2*j + 5. Let o be u(-5). Let z(x) = -x - 5 - 2*x + 4*x. Let r be z(10). Calculate the highest common divisor of r and o. 5 Suppose 0 = 4*l
{ "pile_set_name": "DM Mathematics" }
-0.127 Let y = -373 - -370. Sort -34, 0.3, y, -0.4. -34, y, -0.4, 0.3 Let z = -31 + 35. Suppose 4*w + 9 = 4*j + 29, -z*j - 20 = -5*w. Let c = 0.2 - 0.3. Sort -0.2, c, w. -0.2, c, w Let o be 5 - 1 - 3/3. Suppose 0 = 3*y - 3*q + 15, 8*y = o*y - 4*q + 20. Put y, -5, -1 in increasing order. -5, -1, y Let o = -1 - -2. Suppose -2*h = t - o, 2*h - h = 4*t - 31. Suppose 2*k - l + 5 = 0, -4*k + l - 4*l = 5. Put t, k, 3 in ascending order. k, 3, t Let u = 2 - 1.48. Let q = u - 0.02. Let k be (-3)/(-7)*2/3. Sort q, 0.3, k in increasing order. k, 0.3, q Let y = -33 + 31.85. Let f = y + 1.2. Let n = -0.5 - -1.5. Put n, f, -1/2 in descending order. n, f, -1/2 Let s = 365.5 + -366. Let p = 0.03 - -0.27. Let j = p + -2.3. Put j, -4, s in descending order. s, j, -4 Let f = -12.62 + 0.82. Let j = -0.014 + 12.014. Let i = j + f. Put -1/5, i, -3/4 in decreasing order. i, -1/5, -3/4 Let k(t) = t**3 - 8*t**2 - t - 9. Let h be k(4). Let n = h + 79. Suppose 0 = 2*l + l. Sort -2, l, n in increasing order. -2, l, n Let i be 1/(4 - 116/28). Let u = i + 3. Put u, -17, 1 in decreasing order. 1, u, -17 Let r = -702/5 - -140. Let j = -159 - -162. Put j, 0.1, r in ascending order. r, 0.1, j Let u = 241 - 1688/7. Sort u, -4, -0.14. -4, u, -0.14 Let l be ((-143)/(-12) + -12)/(1/3). Let m be (0/(-1))/1 + 4. Let z = m + -6. Sort l, z, -0.5. z, -0.5, l Let r = -6 + 6. Let o = r - -4. Suppose 0*g = -o*g - 12. Put -1, 4, g in descending order. 4, -1, g Let p(u) = u. Let s be p(4). Suppose 0 = -3*d - 5 - s. Let z be (-21)/14*(-20)/(-18). Sort d, -0.4, z in decreasing order. -0.4, z, d Let i = -32 + 10. Let d be 10/(-4)*(i - -24). Sort 3, -15, d in decreasing order. 3, d, -15 Let n = 727 + -760. Put n, -0.2, -3 in ascending order. n, -3, -0.2 Let w(d) = d**3 - 2*d + 3. Let c be w(2). Suppose -c*h + 3*h - 20 = 5*p, -5*h = -4*p - 16. Let b be (0 - (0 - h))/(-2). Sort -3, b, 19. -3, b, 19 Suppose -5*h - 5 = -3*u - 2*u, 0 = -5*u + 2*h - 7. Let v = 24 + -21. Put -1, -4, v, u in ascending order. -4, u, -1, v Let f = 1555 + -1551. Sort 1, -0.3, f in decreasing order. f, 1, -0.3 Let g = -9 - -8.9. Let u = -41 - -27. Let s = 10 + u. Put -5, g, s in increasing order. -5, s, g Suppose 1005*r - 1037*r = 0. Sort -76, r, 8. -76, r, 8 Suppose -4*m - 25 + 27 = -3*u, 5*u = 2*m - 8. Sort -8, -34, u in descending order. u, -8, -34 Let q = 93 - 97. Put 1, q, -2, 3 in descending order. 3, 1, -2, q Let w = -9 - -49/5. Let d = 5 + -5.9. Let g = -0.6 - d. Put g, w, 3 in descending order. 3, w, g Let f be 6*((-10)/(-9))/(16/12). Let s be f/7 + ((-12)/7)/(-6). Let k = 3 - -1. Put k, s, 3 in decreasing order. k, 3, s Let d = 17 + -12. Sort 6/11, 5/6, d, 10 in decreasing order. 10, d, 5/6, 6/11 Let a = -5 - -8. Suppose -4*r + 4 = -4*h, -2*r + a = 5*h + 36. Sort 14, h, -1. h, -1, 14 Suppose -27*h + 314 = -4*d - 30*h, -3*d - 229 = -h. Put -2, d, -4 in descending order. -2, -4, d Let t = 106/3 - 104/3. Sort -1/15, -1/6, t, -2 in ascending order. -2, -1/6, -1/15, t Suppose -5*r + 546 = 3*f, -5*r = -0*f - 5*f - 530. Sort r, 0, -4. -4, 0, r Let b be 24 - -3*6/9. Put b, -3, -4 in decreasing order. b, -3, -4 Suppose -h + 12 = -5*b, 5*h + 32 = 2*h - 2*b. Put 4, h, -3 in descending order. 4, -3, h Let g = -7.67 - -0.37. Let z = -10 - -3. Let p = g - z. Sort 1/8, -3, p in ascending order. -3, p, 1/8 Let u = -92.7 + 93.7. Let d = -0.7 - 0.3. Put 3/11, d, u in ascending order. d, 3/11, u Let z = -0.181 + -0.019. Put -1/2, 2/19, z, 0.4 in decreasing order. 0.4, 2/19, z, -1/2 Let z be -1 + 3/4 + (-51)/(-12). Let k be (2 + (0 - 1))/(1/z). Put k, 8, 2 in decreasing order. 8, k, 2 Let q = -10.4 + 13.4. Put 0.1, q, -2 in decreasing order. q, 0.1, -2 Let y(x) be the second derivative of -x**4/12 - 5*x**3/2 + 8*x**2 + 4*x. Let p be y(-16). Put p, 1, -4 in decreasing order. 1, p, -4 Let x = 30 - 15. Let y = x - 11. Suppose -4*k = y*d + 8, -5*k - 1 = -11. Put 0, 7, d in decreasing order. 7, 0, d Let s be -6 + (-2)/(-2) + 1. Let z(i) = i - 2. Let j(w) = w**2 - 6*w + 9. Let n be j(2). Let v be z(n). Put s, v, 1 in decreasing order. 1, v, s Let m = -33.2 - 6.8. Let s = m - -39.6. Sort s, -1.5, 4/5 in decreasing order. 4/5, s, -1.5 Let q = 5 + -10. Suppose -5*z - 36 = j - 16, -2*j = 0. Suppose 5*w - 7 + 3 = 4*o, 0 = -2*w. Put o, q, z in ascending order. q, z, o Let a = -1.4 + 1.54. Let p = 0.36 + -0.44. Let n = a + p. Sort 2/5, -3, n in decreasing order. 2/5, n, -3 Let o = -0.81 - -0.11. Let h = -0.62 - o. Let n = h - 0.08. Put -0.3, 1, n in ascending order. -0.3, n, 1 Let t(m) = -6*m + 56. Let a be t(9). Suppose -3*l + 16 - 4 = 0. Suppose 0 = -l*w + 5*z + 10, a*z - 4 = -2*w + 4*z. Sort -5, w, 3 in decreasing order. 3, w, -5 Suppose 5*a + 0*a + 15 = 0. Let r be (33*-1)/((-405)/90*(-1)/3). Sort r, a, -0.2 in decreasing order. -0.2, a, r Suppose -2*v = -v + 8. Let g = 10 + v. Let q be (12/(-8))/((-1)/(-2)). Put q, -5, g in increasing order. -5, q, g Suppose -3*i - 18 = -2*i - 5*f, -2*i = 4*f - 20. Let j(o) = -3*o - o**3 - 11 + 6 - 5*o**i + o. Let a be j(-5). Sort -5, a, 9 in ascending order. -5, a, 9 Let t = 86 - 87. Sort -3, 5, 3, t in increasing order. -3, t, 3, 5 Let k = 1.13 + 3.87. Sort 1, -10/11, k in descending order. k, 1, -10/11 Suppose -z - 6 = 2*z. Let q(i) = 12*i**2 + 1. Let c be q(-1). Let s(x) = 2*x - 27. Let t be s(c). Put z, 6, t in decreasing order. 6, t, z Suppose 5*x = 3*m + 4, -12 = x - 2*x - 5*m. Let u be (-7 - -1)*x/(-22). Suppose r - 7 = 3*y - r, y + 4*r = -7. Sort y, 3, u in descending order. 3, u, y Suppose 5*a + 4*o - 16 = 9*a, -a = -2*o. Sort a, 2, 0, -48 in increasing order. -48, a, 0, 2 Let t = -73/450 + -3/50. Sort 5, -0.028, t. t, -0.028, 5 Let u = 368 - 371. Sort 2, u, 10. u, 2, 10 Let l be ((-7)/21 - -5)*2/21. Sort l, 77, -0.1 in ascending order. -0.1, l, 77 Let z = -0.8381 + 0.0381. Put 0.6, z, 0, -4 in decreasing order. 0.6, 0, z, -4 Let j = 3768 + -3770. Suppose 3 - 13 = -5*v. Let w = -12 - -6. Sort j, w, v in decreasing order. v, j, w Let x(f) = 2*f**2 - 8*f - 1. Let l be x(4). Put 2, l, 4 in descending order. 4, 2, l Suppose 2*p - 4*p - 3*j + 15 = 0, -5*p + j + 63 = 0. Suppose 6*q = -0*q + p. Suppose 3*w - q + 5 = 0. Sort w, -4, 3 in increasing order. -4, w, 3 Suppose 5*l + 14 = 4*v + 2, 4*v = -5*l + 12. Suppose 4*q - 11 = -2*r + 5, -q - r + 4 = l. Let h = -5 + q. Put 2, h, 4 in decreasing order. 4, 2, h Suppose -2*t - 17 = a, 0 = -5*t - 3*a - 59 + 16. Let q = t - -12. Let f(j) = 6*j - 112. Let u be f(19). Put q, -4, u in descending order. q, u, -4 Let r = -1.8 - -3.8. Let p = 9.4 - -0.6. Let i = p + -13. Put 4, i, r in decreasing order. 4, r, i Suppose -12*w = -55*w. Sort w, 17, 1. w, 1, 17 Suppose -h - 1 = -2*b, 5*b - 4*h = -19 + 14. Put b, -7, 6, -3 in descending order. 6, b, -3, -7 Let z be (-12)/3*62/8. Let h = z + 32. Sort -2, h, -8 in descending order. h, -2, -8 Let l(x) = x**3 - 2*x**2 + 4*x + 8. Let z be l(2). Sort -36, z, -3. -36, -3, z Let p = -6562 + 6559. Let w be (1 - -2)*(-2)/(-8). Put p, -5/4, w, 3 in ascending order. p, -5/4, w, 3 Suppose -6*w + 8*w = -2, -5*p + 16 = 4*w. Sort -5, 117, p. -5, p, 117 Suppose -34 = 4*u - 5*k - 11, 0 = 4*k - 12. Let i be ((-48)/(-52) + -1)*u. Let b = -1.93 + 0.93. Put i, b, -2 in descending order. i, b, -2 Suppose -t + 6 = 2*t. Suppose 3*h = 4*h - t. Suppose 10 = 6*g - 2*g - h*d, 0 = -2*d + 6. Sort 5/3, g, 2. 5/3, 2, g Suppose 4*h + 6 = -2. Let n be 2/7 - 259/(-49)*-1. Put 2, h, n, 0 in descending order. 2, 0, h, n Let k be ((-21)/(-9))/((-7)/(-6)). Let l = 3 - 3.4. Sort 4, -5, l, k in ascending order. -5, l, k, 4 Let d be 4*3*(-3)/45. Let s = -1 - -0.9. Let u = s + -0.2. Sort u, d, -0.5 in descending order. u, -0.5, d Let x be (-180)/45 - (-46)/12. Let m = -0.26 - 0.14. Put 3, m, x in descending order. 3, x, m Let q = -1 + -4. Suppose 0 = -h - 3, 2*h + 0*h = 4*p - 14. Sort 1/3, p, q in ascending order. q, 1/3, p Suppose 3*b + 21 = -3*f, -2 = -f - 3. Let i be -9 - (b - -4 - 2). Let c(s) = -s**3 + 5*s**2 - 4*s + 5. Let q be c(4). Put i, 3, q in increasing order. i, 3, q Let r be (-12)/(-108) - (-35)/9. Let d(y) = y**2 + 7*y + 8. Let s be d(-6). Sort s, r, -5, 12 in descending order. 12, r, s, -5 Let p = -0.1258 - 21.8742. Sort -3/2, p, -0.3, 1/5 in increasing order. p, -3/2, -0.3, 1/5 Let l be -6 + -164*(-1)/28. Sort -0.4, -5, -2/9, l in descending o
{ "pile_set_name": "DM Mathematics" }
t of 2805 to the nearest integer? 3 What is the third root of 1433 to the nearest integer? 11 What is the square root of 781 to the nearest integer? 28 What is the cube root of 34751 to the nearest integer? 33 What is the fourth root of 92880 to the nearest integer? 17 What is the third root of 70012 to the nearest integer? 41 What is the third root of 82995 to the nearest integer? 44 What is the square root of 16440 to the nearest integer? 128 What is 13749 to the power of 1/3, to the nearest integer? 24 What is the square root of 380 to the nearest integer? 19 What is 2385 to the power of 1/2, to the nearest integer? 49 What is 71248 to the power of 1/3, to the nearest integer? 41 What is 1134 to the power of 1/2, to the nearest integer? 34 What is the cube root of 231 to the nearest integer? 6 What is the third root of 27101 to the nearest integer? 30 What is 122 to the power of 1/2, to the nearest integer? 11 What is 2386 to the power of 1/2, to the nearest integer? 49 What is 7770 to the power of 1/2, to the nearest integer? 88 What is the cube root of 11771 to the nearest integer? 23 What is the seventh root of 23289 to the nearest integer? 4 What is the third root of 3271 to the nearest integer? 15 What is 15848 to the power of 1/2, to the nearest integer? 126 What is 131606 to the power of 1/6, to the nearest integer? 7 What is the third root of 31764 to the nearest integer? 32 What is the cube root of 6720 to the nearest integer? 19 What is 5684 to the power of 1/8, to the nearest integer? 3 What is the square root of 3857 to the nearest integer? 62 What is the ninth root of 1257 to the nearest integer? 2 What is the third root of 24809 to the nearest integer? 29 What is the seventh root of 135 to the nearest integer? 2 What is the sixth root of 12554 to the nearest integer? 5 What is the cube root of 34552 to the nearest integer? 33 What is 5806 to the power of 1/2, to the nearest integer? 76 What is the square root of 17852 to the nearest integer? 134 What is the ninth root of 5492 to the nearest integer? 3 What is the third root of 455 to the nearest integer? 8 What is the cube root of 1074 to the nearest integer? 10 What is the fifth root of 102578 to the nearest integer? 10 What is the cube root of 3383 to the nearest integer? 15 What is 23638 to the power of 1/2, to the nearest integer? 154 What is 4030 to the power of 1/8, to the nearest integer? 3 What is the fifth root of 3789 to the nearest integer? 5 What is the seventh root of 31291 to the nearest integer? 4 What is the square root of 50348 to the nearest integer? 224 What is 191 to the power of 1/6, to the nearest integer? 2 What is the square root of 1363 to the nearest integer? 37 What is 29828 to the power of 1/10, to the nearest integer? 3 What is the third root of 39808 to the nearest integer? 34 What is the fifth root of 733 to the nearest integer? 4 What is 8917 to the power of 1/3, to the nearest integer? 21 What is the ninth root of 2376 to the nearest integer? 2 What is 887 to the power of 1/2, to the nearest integer? 30 What is the third root of 404 to the nearest integer? 7 What is the sixth root of 3370 to the nearest integer? 4 What is 1464 to the power of 1/9, to the nearest integer? 2 What is 2345 to the power of 1/7, to the nearest integer? 3 What is the square root of 26221 to the nearest integer? 162 What is 132552 to the power of 1/2, to the nearest integer? 364 What is 43769 to the power of 1/4, to the nearest integer? 14 What is the square root of 5827 to the nearest integer? 76 What is the square root of 13970 to the nearest integer? 118 What is the square root of 1304 to the nearest integer? 36 What is the square root of 49976 to the nearest integer? 224 What is 2005 to the power of 1/9, to the nearest integer? 2 What is the square root of 18 to the nearest integer? 4 What is 320 to the power of 1/7, to the nearest integer? 2 What is 1830 to the power of 1/10, to the nearest integer? 2 What is the cube root of 9644 to the nearest integer? 21 What is the sixth root of 662 to the nearest integer? 3 What is the cube root of 2108 to the nearest integer? 13 What is the fifth root of 1128 to the nearest integer? 4 What is the square root of 59611 to the nearest integer? 244 What is 633 to the power of 1/3, to the nearest integer? 9 What is 11953 to the power of 1/3, to the nearest integer? 23 What is the eighth root of 2921 to the nearest integer? 3 What is 1413 to the power of 1/3, to the nearest integer? 11 What is the fourth root of 2918 to the nearest integer? 7 What is 706 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 3695 to the nearest integer? 3 What is the fifth root of 4314 to the nearest integer? 5 What is the third root of 2506 to the nearest integer? 14 What is 4949 to the power of 1/3, to the nearest integer? 17 What is 10276 to the power of 1/2, to the nearest integer? 101 What is the sixth root of 5058 to the nearest integer? 4 What is the ninth root of 764 to the nearest integer? 2 What is the third root of 535 to the nearest integer? 8 What is the cube root of 201 to the nearest integer? 6 What is 8968 to the power of 1/6, to the nearest integer? 5 What is the tenth root of 674 to the nearest integer? 2 What is 1941 to the power of 1/2, to the nearest integer? 44 What is 2390 to the power of 1/8, to the nearest integer? 3 What is 10045 to the power of 1/5, to the nearest integer? 6 What is 113101 to the power of 1/3, to the nearest integer? 48 What is the eighth root of 81768 to the nearest integer? 4 What is the eighth root of 1297 to the nearest integer? 2 What is the third root of 114734 to the nearest integer? 49 What is 3042 to the power of 1/4, to the nearest integer? 7 What is the fourth root of 17645 to the nearest integer? 12 What is 46125 to the power of 1/3, to the nearest integer? 36 What is the square root of 1197 to the nearest integer? 35 What is the square root of 1548 to the nearest integer? 39 What is 1025 to the power of 1/3, to the nearest integer? 10 What is the square root of 979 to the nearest integer? 31 What is the ninth root of 24795 to the nearest integer? 3 What is 46459 to the power of 1/2, to the nearest integer? 216 What is 3535 to the power of 1/7, to the nearest integer? 3 What is 898 to the power of 1/8, to the nearest integer? 2 What is 10982 to the power of 1/2, to the nearest integer? 105 What is 8192 to the power of 1/6, to the nearest integer? 4 What is 52845 to the power of 1/3, to the nearest integer? 38 What is the seventh root of 895 to the nearest integer? 3 What is the sixth root of 1441 to the nearest integer? 3 What is 2436 to the power of 1/2, to the nearest integer? 49 What is the sixth root of 2432 to the nearest integer? 4 What is 15290 to the power of 1/3, to the nearest integer? 25 What is the seventh root of 7234 to the nearest integer? 4 What is 1449 to the power of 1/2, to the nearest integer? 38 What is the cube root of 11960 to the nearest integer? 23 What is the third root of 119954 to the nearest integer? 49 What is the cube root of 89793 to the nearest integer? 45 What is 27108 to the power of 1/6, to the nearest integer? 5 What is 11808 to the power of 1/6, to the nearest integer? 5 What is 43450 to the power of 1/2, to the nearest integer? 208 What is the square root of 2269 to the nearest integer? 48 What is 1946 to the power of 1/2, to the nearest integer? 44 What is the third root of 3501 to the nearest integer? 15 What is 17658 to the power of 1/2, to the nearest integer? 133 What is 87980 to the power of 1/5, to the nearest integer? 10 What is 3462 to the power of 1/2, to the nearest integer? 59 What is the third root of 72575 to the nearest integer? 42 What is 1099 to the power of 1/9, to the nearest integer? 2 What is 1435 to the power of 1/2, to the nearest integer? 38 What is the seventh root of 5563 to the nearest integer? 3 What is the sixth root of 122112 to the nearest integer? 7 What is 16081 to the power of 1/7, to the nearest integer? 4 What is the cube root of 323 to the nearest integer? 7 What is the third root of 359 to the nearest integer? 7 What is the sixth root of 5114 to the nearest integer? 4 What is the third root o
{ "pile_set_name": "DM Mathematics" }
)/r*(-3)/(-2). Which is bigger: 31/4 or o? 31/4 Let s = 887863/178 - 4988. Let m = 4.9 - 5. Is m bigger than s? False Let q = -1507226112 - -173719867219935/115258. Let m = q - 10/341. Is m less than or equal to 0? True Suppose -2*a - 4*i - 36 = 0, a - 6 + 38 = 5*i. Let k(f) = -23*f**2 - 14*f + 1 - 14*f + 29*f. Let w be k(-1). Which is smaller: a or w? w Let n = 0 + 0.2. Let q = 0.3 - n. Let x be (-38 + 39)/(1 - 2) - -10. Are q and x non-equal? True Let s(x) = x**3 - 2*x**2 - 3*x - 1. Let j be s(3). Let g be 9 - ((-513)/(-255) + 12 + -5). Is j at least g? False Let u be (-7 - 2) + 3 + -2. Let z be (u/10)/(38/(-95)). Let n be 6/2 + 36/(-42). Is n at most z? False Suppose 127*j = 120*j - 350. Let a be (4 + 0)/(-2)*(-2448)/(-96). Is a greater than j? False Let w(v) = v**3 + 3*v**2 + 3*v + 3. Let m be w(-2). Suppose -5*s + 4*s = -m. Let a be -6*-6*(-8)/(-528). Which is smaller: s or a? a Let y be (-250)/(-4)*616/(-35). Let g be (-380)/y*140105/(-174). Let h = -1669/6 - g. Which is smaller: h or -1? -1 Let b(h) = -111*h + 2551. Let x be b(16). Which is bigger: x or 772? x Let q = -1490 - -1327. Which is greater: -162 or q? -162 Let g be 166 - (-4 - (-4 - 3/1)). Let y = -164 + g. Is -3/115 not equal to y? True Let j = 15585 + -15585. Which is smaller: j or 3/971? j Suppose 32*t = 2*f + 28*t + 16, 3*f + 8 = 2*t. Suppose 4*p + 3*z + 47 = f, -2 = p - 4*z + 5. Which is smaller: 8/9 or p? p Let m be (-4)/(-74) - (1422/(-79) - (-2407)/37). Suppose -t + 33 = 4*d - 2*t, 35 = 5*d + 5*t. Which is greater: m or d? d Suppose 1401*a + 12 = 1398*a. Let l be (-1263)/(-6)*(a - (0 - 2)). Which is bigger: -420 or l? -420 Let p = 487 + -536.5. Let u = p - -49.74. Are -7 and u unequal? True Let n be 16/5*(12 + -7). Let d = n + -17. Let o be 156/(-36) - (-1 - 5/(-3)). Which is bigger: d or o? d Let j = 21 + -3. Suppose 0 = 3*o + 12 - j. Let m(z) = z**3 - z**2 - 2*z. Let y be m(o). Which is bigger: y or -2? y Let j be 20/36*-3*(-4)/30. Let b = -309 + 295.1. Which is greater: j or b? j Let n(p) = -4*p - 8. Let l be n(-5). Let t be l/(-572)*22398/(-27). Let x = 192/11 - t. Which is smaller: x or 0? 0 Let l = 0.017 + 0.783. Is 195 at most as big as l? False Let f = 27.952 + 0.048. Let z = 2351/4 - 608. Let o = -20 - z. Which is bigger: o or f? f Let r be -9*((-1)/(-11) + (-8)/1056). Is -718 != r? True Let i = -39.5755 + -0.9145. Which is smaller: i or -0.2? i Let p = 51047 + -18223760/357. Is p bigger than 0? True Let o = 2054 + -1070136/521. Let b = o + 5743/3126. Which is smaller: b or 0.01? 0.01 Suppose r - 3*g - 1 = 3*r, 2*r - 23 = 5*g. Let y be -46 - (2 - 0) - (-2 + r). Let t = y + 76. Is t < 26? False Let k(q) = -29*q**2 - 46*q - 156. Let j be k(-5). Which is smaller: j or -1949/3? j Let u(h) = 2*h**2 - 17*h - 15. Let l(t) = -t**2 + 6*t + 5. Let d(y) = 8*l(y) + 3*u(y). Let q be d(-2). Is -8 at most q? True Suppose -4*p + 0*p = 0. Let x = -0.13156 - -12.20456. Let v = 0.073 - x. Is p < v? False Let c be (-7 - -29)*(25/(-790) - 0). Which is greater: 0 or c? 0 Let i = 0.953 + -0.548. Let c = i - 108.405. Is c > -2/9? False Suppose 4*i + 138 = -34. Suppose -22 = -10*r + 108. Suppose -17 = c + 5*l, 2*c + r = l - 76. Is c != i? True Suppose -13*r + 3009 = r + 3*r. Which is greater: r or 181? 181 Let w = -3490 - -342017/98. Let t be (69/(-92))/(6*6/288) - -5. Which is bigger: w or t? w Let w be -23 - (27 + (-16081)/65). Which is bigger: w or -0.5? w Let l = 122 - 125. Let b(m) = -2*m**2 + 22. Let n be b(l). Let c = 15 - 22. Is c less than or equal to n? True Let h(i) = -i**2 + 14*i - 5. Let s be h(9). Let r be 94*(-2)/(-6)*(-60)/s. Is -48 bigger than r? False Let m(b) be the third derivative of 7*b**4/24 + 40*b**3/3 - 31*b**2. Let a be m(-20). Is 0 less than or equal to a? False Let r = -87.92 - 0.08. Let x = -2812 + 2905. Let u = r + x. Which is greater: u or -1? u Let u = -3 + 2. Let c = u - -2. Let b be 40/(-36) - 17422/2529. Is b less than c? True Suppose 9707 = -9*y - 14998. Let r = 660/11557 + -31761963/11557. Let z = y - r. Which is smaller: 3 or z? 3 Suppose 50*u = -y + 51*u - 3303, 3*u = 8*y + 26454. Is y greater than or equal to -3308? False Let c = 34/67 + -27405/268. Is -101 equal to c? False Let o be 7 + (2 + -3)*(3 - 1). Let g be -2*(o + 1416/(-282)). Which is bigger: g or 0? g Let f(g) = -3*g - 31. Let w(c) = -c. Let i(z) = -f(z) + 5*w(z). Let t be i(6). Is 14 <= t? True Let p(s) = -s**3 + s**2 - 1. Let o be p(-1). Let g be 19 + -4 - o/(-3). Let c = 290 - 276. Which is smaller: g or c? c Let b = 4749 - 4751. Is 4.7 <= b? False Let a = -1 - -15. Suppose -15*i + a*i + 36 = 0. Suppose -2*g + i = 2. Which is greater: 19 or g? 19 Suppose -152 = -28*w + 67*w - 20*w. Suppose 3*k + k = -56. Let u be 184/(-28) - (-6)/k. Which is smaller: w or u? w Let y be 579/(-9)*(-26)/(-39). Which is bigger: y or -44? y Let c = 115721/4 + -28930. Which is smaller: 26/17 or c? c Let s(g) = g**2 + 33*g - 106. Let d be s(3). Suppose -20 + 28 = d*p. Is p less than or equal to 43? True Let h = -108191/92 + 1176. Suppose 7*g + 3*x + 2 = 11*g, 8 = -2*g - 3*x. Which is smaller: g or h? g Suppose 23 = -4*g - 5*t + 10*t, 0 = t - 3. Let z be (-16)/g + 0 + 47. Which is greater: z or 56? 56 Let b(q) = -4*q**2 - 38*q - 13. Let z be b(-9). Suppose c + 11 = -3*i - 241, -z*i - c - 422 = 0. Which is smaller: -83 or i? i Let f be 20/12*(-4)/42*-93. Let b = -11/7 - f. Is -16 < b? False Suppose -2*a = -3*o + 99, 9*o - 6*o - 5*a - 90 = 0. Let k = o - 52. Is -4 at least as big as k? True Let w(b) = 591*b - 50. Let p be w(-5). Let a = 1372 + p. Let k = 44083/27 + a. Which is smaller: 0 or k? k Let u = -4643 - -18227/4. Which is greater: -87 or u? u Let p be (10917/(-15))/((-228)/(-1710)). Is p at most -5458? True Suppose -34*q = -23*q + 198. Let s be (-9)/(-6)*q/27. Which is smaller: s or -9/5? -9/5 Let f be (25/120)/((-4)/540). Does f = -27? False Let z be (-18)/((-9576)/(-98210)) - 4/(-38). Let f = 22780539691/218 + -104497704. Let n = f + z. Is -1 > n? False Suppose 5*t - 18 - 17 = 0. Let v be 96/(-10)*(2 - t). Suppose -2*d - 2*c = -v, -d = 2*c + 3*c - 16. Is 26 less than or equal to d? True Suppose 173*q - 178*q + 4*o = 470, q + 2*o + 108 = 0. Which is smaller: q or -165? -165 Suppose 0*l + 5*k - 140 = -5*l, 0 = 5*k - 20. Suppose -l*d - 22 = -22*d. Is -19/2 != d? True Let u be ((-57)/(-18) - 3)*(-21 - -156)*22. Do u and 495 have different values? False Let i(r) = r**3 + 14*r**2 - 4*r + 122. Let x be i(-15). Which is greater: x or -310/7? x Let u = -0.02723 + 0.02723. Suppose 3*g = 3*c + 267, 0 = 5*g - 3*c - 290 - 159. Which is bigger: g or u? g Let h = -495 - -514. Suppose -9*p + h*p = 8*p. Are p and -4/51 equal? False Let n be -1 - 5/(25/84). Let d = n - -2092/115. Is d smaller than 0? False Let r = 3124 + 1444. Let m = 4591.97 - r. Let z = 24 - m. Which is greater: z or 0.02? z Let f = 268 - 270. Let g(y) = -y**3 + 7*y**2 - 4*y - 14. Let z be g(6). Is f >= z? True Suppose 10*o + 2*d = 5*o - 27, -4*o = 5*d + 25. Let i be (24/240)/((-6)/o). Which is smaller: -13 or i? -13 Let o(b) = 7*b - 34*b + 4*b**2 - 3*b**2 - 102. Let g be o(30). Let p(a) = a**2 + 6*a - 5. Let q be p(-5). Which is smaller: q or g? g Let c = -0.03855 + 0.15855. Which is greater: 272/5 or c? 272/5 Let d be (-1*625)/((-1)/2). Let z be 41277/33 + 6 + -6. Let q = d - z. Which is bigger: -2 or q? q Let i be ((-7)/(5670/852))/((-2)/10). Is 4 greater than i? False Suppose -11*y = -23*y. Let q(m) = -2*m**3 + m**2 + 4*m. Let x be q(y). Which is smaller: x or 3/47? x Suppose -46356 + 46528 = -43*r. Suppose -16 = 3*i - 3*q - 4, -i + 6 = 4*q. Is r bigger than i? False Let s = -270 + 273.24. Let o = s - 0.04. Let b = -0.2 + 0.1. Is b equal to o? False Let p = 2178/19 + -44702/323. Is -23 at least as big as p? True Let p(q) = -7*q - 68. Let j be p(-23). Let t = 0.002 + -0.002. Is t less than j? True Let n = -2735.7 + 2737. Are n and -2/23 non-equal? True Suppose 2*x + 14*x = -12*x - 252. Suppose 0 = 2*c + 4 + 6. Is c at most x? False Suppose 5*p - 10 = -450. Which is smaller: p or -89? -89 Let r = -25329 - -22717. Are r and -2615 unequal? True Let j = 10.3 + -1.3. Let x = j + 2. Let r = -16095 + 16094.9. Is r smaller than x? True Let m be ((-173527410)/(-8208235))/37 - 1/((-14)/(-8)). Which is smaller: m or 1? m Suppose 0 = -45*v - 53*v + 60
{ "pile_set_name": "DM Mathematics" }
o + 5*r for o. -4 Let q = -221 - -385. Let d = q + -153. Solve -3*u + 13 = -6*o + 2*o, -3*o + u - d = 0 for o. -4 Let v = -37 - -38. Let q be v/1 - (7 + -20). Solve 4*k = -o + 7, -k + 2*k = 5*o - q for k. 1 Let h = 50 + -46. Suppose 5*u = 2*b + 11, 0 = -2*u - 10*b + 6*b + 14. Solve -h*k + 0*j + 11 = u*j, 5*k - 40 = 5*j for k. 5 Let k be -25*((-774)/45 + 17). Solve 0 = 4*f - 8, o - k*o + 2*f + 16 = 0 for o. 5 Let c(n) = -7*n + 6 - 17 + n**2 + 5*n + 6. Let t be c(4). Let f = 17 - 12. Solve -t*r + 4 + 1 = -2*k, 0 = 2*k + f*r + 13 for k. -4 Suppose -2*f = -5*f - 4*h - 8, 45 = 5*f - 5*h. Solve 2*i - 5*o - 22 = i, -5*i - 35 = f*o for i. -3 Suppose 209*h = 203*h + 30. Solve h*m + 21 = -8*q + 11*q, -2*m - 3*q = 0 for m. -3 Suppose -114*f + 119 = -34*f + 39. Solve -4*k - 28 = -4*d, -f = 7*k - 4*k + d for k. -2 Let q = -6734 - -6749. Suppose -6*x + 2*x + 5 = k, 0 = -k + x. Suppose -3*l + 4*m - 6 = -k, l + 2*m - q = 0. Solve y + l*h = 2*y + 8, -2*y - h - 5 = 0 for y. -3 Suppose 397*w = 390*w. Suppose 0*u - 2*u + 26 = 0. Solve w = -3*y - 2*j, -2*y = -j - 2*j - u for y. 2 Suppose 60 = 2*k + 2*k. Suppose 5*m - k - 35 = 0. Let p be (-10665)/(-1422) - 10/4. Solve -p*f + 4*q - 14 = m, 2*q = 2 for f. -4 Suppose 103 = 28*r - 9. Suppose -d + 0*d = -33. Suppose 6*p + 3 - d = 0. Solve 15 = g - p*v, g + r*v + 15 = -v for g. 0 Let a be 1*((-27)/(-6))/9*10. Let g be a/10 - (-1 + 14/(-4)). Solve -10 = 4*l - 2*r, 0 = -5*l + r - 3 - g for l. -1 Let y(l) = -4*l**2 - 187*l + 444. Let c be y(-49). Solve -c = 3*h - 3*k, 9*k = 4*h + 13*k - 12 for h. 1 Let f be (-5)/(-4)*(-5)/(5/(-4)). Solve f*c = 10, 4*a - 3*a - 11 = -4*c for a. 3 Let u(p) = 26*p - 75. Let b be u(3). Suppose -b*c = 6*n - 2*n - 57, -5*c + 72 = -n. Solve -3 = l - 5*l - 3*i, 0 = -4*l + i + c for l. 3 Let y = -400 - -370. Let p be (6/4)/((-15)/y). Solve -2*z + 3 = f, -4*f - 1 = -p*f for z. 2 Suppose 4*f = -5*x + 11 + 60, -3*f - 3*x + 57 = 0. Suppose -69 = -9*h - f. Solve -h*j + 2*n = -16, -3*j - j + 20 = -4*n for j. 2 Let y(d) = -d**2 - 13*d - 40. Let b be y(-7). Let c be (5 - (1 + 4))/((-2)/b). Solve 2*p - o = -2, 0 = -5*p - 2*o - c*o - 5 for p. -1 Let f = 28658 + -28633. Solve -9*g - 5*k + f = -g, -g = -k + 5 for g. 0 Let j(t) = -5*t - 32. Let k be j(-7). Let s be (k - (8 - 3)) + 0 + -102. Let i = 107 + s. Solve -4*l = 2*w - 15 - i, -5*w = 2*l - 29 for w. 5 Suppose 120*d + 300 = 17*d + 815. Solve d*n = -3*j - 34, j + 174*n - 178*n = 17 for j. -3 Let u = -51 - -67. Let c be (-26)/(-7) - u/(-56). Suppose v - 6 = -a, c*v - 39 = -0*v + a. Solve -3*p + 6 = p - 5*t, -p + v = -5*t for p. -1 Let m be 4/18*-6*54/(-12). Let u be 2/m*(-13 - 2). Let d(r) = 5*r + 27. Let c be d(u). Solve -c*h + 2*s = 0, 2*s + 2*s - 5 = 5*h for h. -5 Suppose 4*o = i - 34, 84*o - 11 = 4*i + 89*o. Solve i = -3*k + p, -3*k - 18 = -5*p - 0*p for k. -1 Let b(i) = 5*i**2 - 9*i - 2. Let r(u) = -6*u - 76. Let f be r(-13). Let s be b(f). Solve 3*g - 2 - 4 = s, 0 = -o + 2*g for o. 4 Suppose -13 = -d + 5*f, 19*d - 18*d + 5 = -4*f. Solve 12 = -4*n, -5*n = d*o - 26 + 35 for o. 2 Let x be 84/(-182)*26/(-4). Solve -3*f = -x*w + 27, -2*w - 4 = -3*f - 27 for f. -5 Let f = -3782 + 3790. Solve b = 4*y - f - 12, -15 = -3*y + 5*b for y. 5 Let r = 2336 + -2328. Solve 4*p + 4*n = -r, 0 = -25*p + 23*p - 3*n - 8 for p. 2 Suppose 92 = -45*f + 115 + 67. Solve 13*d - 12*d - 6 = 5*z, d - f*z - 3 = 0 for d. 1 Let s be (0 - -3)*(-4)/((-36)/(-15)) - -9. Solve -a + r - 6 = 0, -s*r = -15 - 1 for a. -2 Suppose -56*v = -68*v + 60. Solve -2*b = 5*i - 7, v*b - 5*i + 34 = -1 for b. -4 Suppose -c + 4 = -2*d + 18, 3*d = 9. Let x = c - -39. Suppose 3*f = 4*s - x, -3*s - 6*f = -3*f + 3. Solve 0 = -5*n - 4*j + 5, 3*j = s*n - j - 4 for n. 1 Let m(r) = -r**2 + r - 24. Let g = -16 + 24. Let j be m(g). Let a be j/(-5) + -5 - 0. Solve 2*t + 0 + a = n, 4*t = 3*n - 23 for n. 1 Let a = -4 - -8. Suppose -4*v - 8 = -v + 16, -30 = -2*f + 3*v. Solve m = -2*z - f + 10, m = z + a for m. 5 Let j be (-8216)/(-234) + (-1)/9. Suppose -2*x + 5*g + 25 = 0, 0 = -11*x + 15*x - 5*g - j. Solve 0 = -x*z + l + 30, -2*z = l + l for z. 5 Let n be (-44)/(-11) - (-13)/(78/12). Suppose -4*u + w - 3*w = -10, -4*u - 20 = -4*w. Solve -2*d + u*d - n = q, d + 4*q + 3 = 0 for d. -3 Suppose -12*p + 15*p = 27, 5*k + p = 14. Solve 0 = h + g - k + 2, 4*g = h + 21 for h. -5 Let m(y) = -2*y - 6. Let z be m(-5). Solve 3*i = -z*c - 2 - 2, -c + 18 = -4*i for c. 2 Suppose -l = -2*l - 3*z - 5, 5*z - 25 = -5*l. Solve -2*r = 4*k + l, r + r = -k - 1 for k. -3 Let y be (93/6)/(2/4). Let h = y + -27. Suppose 5*a - 90 = 5*t, -4*t = 4*a - 0*t - 88. Solve 0 = h*f + a, -2*v + 20 = -7*v - f for v. -3 Let z be (-4)/18 - 1079/(-117). Let k be ((-27)/(-12))/z + 78/8. Suppose -6*o + k + 2 = 0. Solve -o*n + f = 2*f - 6, 4*f = -8 for n. 4 Let m = -166 - -168. Suppose 4*i - 27 - 77 = 0. Solve 5*o - m*o = -5*b + 2, 3*b - 5*o = -i for b. -2 Let v(t) = -1454*t**3 + 1 - 7*t + 0 + 1453*t**3 + 6*t**2. Let d be v(4). Solve -d*o = 5*u - 10 - 15, 5*u - 25 = 2*o for o. 0 Let a(q) = -357*q + 2503. Let z be a(7). Solve 75*l - 8 = 71*l, -k + z*l = 8 for k. 0 Let y be (3 + -4)*1*12. Let j be 3/(y/10)*-2. Suppose -i = -j*i + 8, 0 = 4*b - 2*i - 4. Solve -3*x + 2*a - 14 = 0, -b*a - 2 = 3*x - a for x. -2 Suppose 5*t - 41 = 2*a - 3, t + 19 = -a. Let l = 14 + a. Let f(i) = i**2 - 25. Let c be f(l). Solve -k - 10 = -c*p + 5*p, -k = -p - 8 for k. 5 Let u be (-5)/((2/(-2))/1). Suppose 0 = -2749*d - 2878*d + 5434*d + 772. Solve o + 4 = -3*h, 3 = d*o + 4*h - u for o. 5 Suppose -326*k + 18 = -320*k. Suppose -4*j - 3*y + 43 = 2*y, 4*y + 40 = k*j. Solve -3*i + 24 = 3*t - 6*t, -3*i = t - j for i. 5 Let n be (2/2 + 1)*13916/49. Let y = n - 567. Solve -2*r - 5*g - 10 = 0, -5 = 3*g + y for r. 0 Let u(p) = -94*p**2 + 284*p + 1. Let r be u(3). Solve 7 = -6*h + z - r, -5*z + 8 = h for h. -2 Let l be (-3)/(1/2*(-1)/((-208)/(-48))). Solve -23 = -3*v + 5*d, -d + l = 30 for v. 1 Suppose -4*d - 299 = b, b - 4*d + 307 = -0*b. Let a = b - -319. Solve 2*c + a = -4*x, 3*c = -c + 2*x + 8 for c. 0 Suppose -7*n = 4*a - 3*n, 0 = 4*a + 5*n + 3. Suppose -p + 6*p + a*h = 16, 0 = -3*p + h + 18. Solve 3*b = v + 2*b - p, 0 = -4*v - 3*b - 15 for v. 0 Let u be 365 + (-1 - (-7 + 5)). Let z = -341 + u. Solve 5*v - 3*h = 25, -5*v - 4*h + h = -z for v. 5 Let c(w) = -6*w + 21*w - 168 - 11*w - 6*w - 4*w. Let g be c(-28). Solve 8 = -3*d + t - 2, g = 3*d - 2*t + 11 for d. -3 Suppose 0 = -i + 3*i - 4. Let z(p) = -p**2 + 9*p - 5. Let s be z(5). Suppose 0 = 4*t - t - s. Solve -3*b - t*j - 20 = 0, -b + i*b = -5*j - 10 for b. -5 Let t be 16*60/2240 - (-9)/(-21). Solve -3*m + g - 14 = t, -5*m - 2*g - 2*g = -5 for m. -3 Let w = 296 - 296. Let l(a) = -a**3 + a**2 + 3*a + 1. Let v be l(-2). Solve w = 2*f - 3*u - v, -4*f = -5*u - 4 - 9 for f. 2 Let p(r) = r**2 - 242*r + 273*r + 12 + 2*r**2 + r**3 + 8*r**2. Let u be p(-5). Solve a + 5*s - 2*s = u, -4*s = 2*a - 12 for a. 4 Suppose o = -0*o - 8. Let k(j) = -8*j - 7. Let y be k(o). Suppose -5*q - 10 = -s + 19, 5*s = 3*q + y. Solve h + 15 = -2*h - 5*z, 2*h = -3*z - s for h. 0 Let g = -174 - -156. Let b be 1 - (21/(-2) - (-9)/g). Let t = -5 + 8. Solve -3*l - 1 = -10, -3*q - t*l = -b for q. 1 Suppose 7*z - 9*z = 4*p + 160, -3*p = -12. Let l = z - -111. Solve -5*f + f - 3*j = l, 5*f + 26 = -j for f. -5 Let l = 198 - 180. Let w(r) = -r**2 + 22*r - 72. Let v be w(l). Solve v*z - 25 = -2*z - 5*i, 5*z + 5*i = 40 for z. 5 Suppose 43*m - 38*m = 90. Solve -r - 5*k + m = 0, 0 = 2*r - 7*r + 5*k for r. 3 Let o(m) = 10*m**3 - 4*m**2 - 4*m - 2. Let l be o(-2). Let v = l - -144. Let n = v + -52. Solve 29 = 4*b + 5*h, 0 + 12 = 2*b + n*h for b. 1 Suppose -195 = -82*z + 17*z. Solve -4*o - 4 - 20 = -2*l, 3*o + z*l = -9 for o. -5 Let c(f) = -f**3 + 11*f**2 + 175*f - 1921. Let i be c(11). Solve 3*m + 28 = 6*m + i*s, 4*s = -4*m + 32 for m. 4 Let m = 5109 - 5104. Solve 2*t - 3*t = -m*q + 21, -1 = t for q. 4 Let m = -926 + 929. Suppose 4*x = -b + 3*x + 3, b + 3 = 5*x. Suppose 0 = q + 4*s + 9, -b*q - 5*s = -m*s. Solve 3*h + 3*i - 9 = 0, 5*h - 18 = q*i - 3 for h. 3 Let r = 8 + -12. Let l(z) = z + 4. Let p be l(r). Let s be 336/126 - 1/(-3). Solve p = s*v + g - 14, -g - 3 - 4 = -4*v for v. 3 Let w(u) = -27*u - 45. Let h(j) = 78*j + 136. Let t(k) = 4*h(k) + 11*w(k). Let v be t(-3). Solve n - s = 1,
{ "pile_set_name": "DM Mathematics" }
nding order. 1, -1, z Suppose -4*d + 12 = 2*d. Put 1, d, 4 in descending order. 4, d, 1 Suppose 5*s = -5*t - 30, -9 = 3*t - 2*s - 1. Suppose l - 3*i + 0*i = 14, 14 = 4*l + 2*i. Suppose 2*a - l = -3*a. Put a, 4, t in ascending order. t, a, 4 Let f be (-2)/4 + (-6)/4. Let a be (-10)/14 + f/7. Suppose 28*y - 31*y = 15. Sort y, 2, a. y, a, 2 Let n = -52 - -54. Sort 0.13, 1, n, 0.1 in increasing order. 0.1, 0.13, 1, n Suppose 5*a - 9 = 16. Suppose -5*t = -4*n + 40, -n + 5*t + 12 = -13. Suppose -n*u = g + 10, -a - 12 = 4*g - 3*u. Sort g, 4, -4. g, -4, 4 Suppose -14*r - 2*r = -32. Sort 0, r, -3, 1 in descending order. r, 1, 0, -3 Let v(m) = -1 + 3*m**3 + m - m - 9*m**3. Let h be v(1). Let n = h + 8. Put 4, -4, n in decreasing order. 4, n, -4 Let x be (-5)/(-10)*(-10)/1. Sort -2, 5, x in decreasing order. 5, -2, x Let a = 9 - 9. Suppose 4*y = -2*v + 86, 3*y - 2*v = -0*v + 54. Suppose -j - 4*j = y. Put 5, j, a in increasing order. j, a, 5 Let o = -1/30 + -3/10. Let v = -0.5265 - -0.0265. Sort v, -4/5, o. -4/5, v, o Suppose 7*b - 2*b - 50 = 0. Suppose b = -6*v + v. Put -1, 2, v in descending order. 2, -1, v Let q(j) = -j**3 + 4*j**2 - j + 5. Let h be q(4). Let t = 2 - h. Let p be 7*t/4 - 2. Sort -1/2, p, 0.1 in descending order. 0.1, p, -1/2 Let b = -18.1 - -19. Put -2/7, -1, b in ascending order. -1, -2/7, b Let i = -234/95 + 24/19. Let s = -726 + 725.5. Sort s, 2, i in decreasing order. 2, s, i Suppose 1227 - 302 = -5*m. Let p be (-188)/(-10)*118/(-12). Let t = m - p. Put t, -4/7, -1/8 in increasing order. -4/7, t, -1/8 Let u = 1 + 3. Let c = 1982/11 - 180. Sort c, 2, u in increasing order. c, 2, u Let f = -21 + 20. Put -7, f, -3, 0.3 in decreasing order. 0.3, f, -3, -7 Let k be (-6 - 1) + (-1)/(-1). Let n be (0 - -5) + k/2. Suppose -2 = -z - 5*c, n*c + 3 - 2 = -z. Sort -1, -4, z in descending order. -1, z, -4 Suppose 0*v - v = -16. Let l be (-2 - v/(-6))*-3. Let w be (-4 - -5)/(l/(-8)). Sort 5, -1, w in descending order. 5, w, -1 Let k = 3.2 - 2.8. Put 2/11, k, -0.2 in decreasing order. k, 2/11, -0.2 Suppose 3*f = -5*x + 41, -3*f = -3*x - 10 + 1. Let j = 11 - f. Suppose 3 = 2*c - 3*c, -j*q + 1 = -3*c. Put -5, q, 2 in descending order. 2, q, -5 Let b = 6 + -3. Suppose b*k - 1 = -w + 1, -3*k = -2*w - 5. Let d be (10/(-4))/(w/(-2)). Put 5, d, 0.3 in decreasing order. 5, 0.3, d Suppose 3*t = -i - 9, -i + 12 = -6*i - 4*t. Suppose i*a = -4*a - 8. Let z be -1 + 0 + 0 + 0. Sort a, z, -4 in ascending order. -4, a, z Let v = 24.2 - 24. Sort 2/5, -4/7, v in decreasing order. 2/5, v, -4/7 Suppose 18 = 2*k + 6. Suppose c + c = k. Let l = 0 + 4. Put l, c, -2 in ascending order. -2, c, l Let k = 1.7 + 2.3. Sort 4/7, k, 1/5 in descending order. k, 4/7, 1/5 Let t be ((-3)/6)/((-2)/(-4)). Let d(a) = -4*a**3 + 3*a**2 + 3*a + 1. Let u be d(t). Sort 2, u, 4. 2, 4, u Let s be (24/75)/(36/10). Let k = s + 38/585. Let l = -5.1 - -1.1. Put k, l, 0 in descending order. k, 0, l Let p be -4 + 1 + -6 + 10. Put p, 5, 0 in decreasing order. 5, p, 0 Let y = 1.3 + -1.1. Sort 1, 0.5, -1/2, y. -1/2, y, 0.5, 1 Let m(d) = d**3 + d**2 + d + 5. Suppose 0*g - 3*g = 0. Let z be m(g). Suppose 0*c + 20 = -z*c. Sort -2, 4, c in increasing order. c, -2, 4 Let g(c) = c**3 + c - 1. Let j be g(1). Put 0, 2, j in decreasing order. 2, j, 0 Suppose 0 = t - 3*t + 28. Let g = t + -9. Suppose 2*i + 3*i + 10 = 0. Sort 3, g, i in decreasing order. g, 3, i Let t be 60/(-25) - (-9)/(-15). Put 1/3, t, -4 in increasing order. -4, t, 1/3 Let i be (-30)/(-26) + 1 + -2. Let m be (8/10)/(4/2). Sort -2/9, i, m in decreasing order. m, i, -2/9 Let g = -0.05 + 4.05. Put 0.2, g, -8 in decreasing order. g, 0.2, -8 Suppose 4*p = -4*r - 20, -5*r + 2*p + 4 = 1. Suppose 2*q - 6*q = -3*c + 14, 2*c - 6 = 2*q. Let s be (-2)/6*(6 + 3). Sort r, s, c in descending order. r, c, s Let g = 2 + -3. Put 1/6, -2, g in descending order. 1/6, g, -2 Let i = 181.8 + -165. Let z = 17 - i. Put -0.5, 0.1, z in decreasing order. z, 0.1, -0.5 Suppose d = 4*n + 378 - 73, 5*n = -d - 370. Let t = 644 - 1141/2. Let a = n + t. Sort -2/7, a, 0.4 in decreasing order. 0.4, -2/7, a Suppose -2*p = p. Let s(q) = q + 1. Let r be s(-5). Put p, -3, r in decreasing order. p, -3, r Let d = -2.6 + 3. Let j = 25 - 22. Put -2, j, d in ascending order. -2, d, j Let t = -15.11 - -15. Let u = -4.89 + t. Let d = u - -9. Sort 3, d, 1/6 in decreasing order. d, 3, 1/6 Suppose -4*v + 5*b + 28 = 0, 2*b = 3*b + 4. Let w be (-4)/(-6) + (-6)/9. Suppose 9 = -3*f + 3. Put w, f, v in decreasing order. v, w, f Let l = -4 - -6. Suppose 2*s - 17 - 1 = -m, -4*s - m + 34 = 0. Let x = 5 - s. Sort l, 1, x. x, 1, l Let f = -0.76 + -0.14. Let l = f - -1.3. Put -3, -5, l in descending order. l, -3, -5 Let t = -10.5 + 6.5. Sort -0.09, t, 1, 2. t, -0.09, 1, 2 Let w = -4.9 + -0.1. Sort w, 1/2, 1/6. w, 1/6, 1/2 Let z = -5 - -3. Let g be 1/(1*(-2 + 3)). Let s = -12 - -8. Put s, z, g in increasing order. s, z, g Let g = 47 + -52. Sort g, -3, -2. g, -3, -2 Suppose -2*g - 6 = -4*z + 4, 0 = 5*z - g - 8. Put z, -1/6, 0.07 in increasing order. -1/6, 0.07, z Suppose 0 = 27*p + 10*p + 9*p. Suppose -16 = -0*k + 2*k. Put p, k, -2 in increasing order. k, -2, p Let m = -365/3 + 123. Let y = -0.3 - -0.5. Sort y, m, -0.2 in increasing order. -0.2, y, m Let l = -6 - -11. Let j = 0 + 0. Sort j, -5, l in descending order. l, j, -5 Let j(m) = -m**2 - 5*m + 6. Let l be j(-6). Let a be -2 + (3/(-2))/(5/(-10)). Sort a, l, -0.3 in descending order. a, l, -0.3 Let a = 16 - 16. Let m = a + 2. Sort -3, m, -1/3 in descending order. m, -1/3, -3 Let x = -127 - -129. Put -10, 5, 3, x in descending order. 5, 3, x, -10 Let p be 108/(-5)*(-5)/329. Let x = p + -2/47. Put x, -0.5, -0.05 in increasing order. -0.5, -0.05, x Let i be (0 + 3/6)/1. Let w(h) = h**2 + 6*h - 8. Let v be w(-8). Let z = 7 - v. Sort z, 1, i in increasing order. z, i, 1 Suppose 5*n + t - 11 = 4, 5*n - 3*t = 15. Suppose -1 = 2*x + n. Put 2/5, x, 0.5 in descending order. 0.5, 2/5, x Suppose -8 = 4*x + 2*h, -5*h + 12 - 32 = -2*x. Suppose -o - o = x. Let f = 5 - 8. Sort o, f, -5 in descending order. o, f, -5 Let p(v) = 7*v - 78. Let h be p(11). Let f = 161 - 647/4. Put h, f, 2/5 in ascending order. h, f, 2/5 Let i = 0 + -4. Sort i, 4, 3. i, 3, 4 Let i = -135.9 + 136. Sort 5, -1, 7, i in decreasing order. 7, 5, i, -1 Let u = -2 + 1.9. Let m = -7.4 - -1.4. Let t = 4 + m. Sort -5, u, t in ascending order. -5, t, u Suppose -5*a + 5*m = -5, -5 = -a + 3*m - 4*m. Suppose -1 = -b + a. Sort -5, b, 3. -5, 3, b Let k = 42 + -87/2. Let w be (-62)/255*27/(-6). Let h = -5/17 + w. Sort k, 1/4, h in decreasing order. h, 1/4, k Let z(f) = -2*f. Let p be z(-1). Let w = 0.01 + -0.41. Sort w, p, -1/7 in decreasing order. p, -1/7, w Let u = 0.08 + -5.08. Let s = u - -5. Sort 3, s, -0.4 in ascending order. -0.4, s, 3 Let a = -0.295 + -0.005. Let n = 5.4 - 0.4. Let o = n + -10. Put o, -2/11, a in ascending order. o, a, -2/11 Let k be 0 + (-2 + 2)/2. Let z = 24 + -31. Let s = z - -12. Put s, k, 0.5 in increasing order. k, 0.5, s Suppose 4*a - 3*h = 12, a = -h - 0 + 3. Sort 0.1, 0, a in decreasing order. a, 0.1, 0 Let m = 0 + 0. Let f = -3 - -4. Let k = -1 + 0.7. Sort m, k, f in descending order. f, m, k Let w(n) be the second derivative of n**4/12 + n**3 + 5*n**2/2 - n. Let d be w(-5). Sort 5, 2, d in ascending order. d, 2, 5 Suppose -12 = -5*r - 32. Let a = r + 7. Sort 4, a, 0 in decreasing order. 4, a, 0 Let j = -24 - -37. Let x = j - 18. Put 4, x, 2 in decreasing order. 4, 2, x Let j = -1.3 + 0.9. Sort -1/4, j, 4 in descending order. 4, -1/4, j Let c be (-9)/(-6)*2 - 132/(-2). Put -4, c, 5 in ascending order. -4, 5, c Let y = -2/39 + 5/13. Let v = -7 + 4. Sort 0.4, v, y in increasing order. v, y, 0.4 Let p be (-1)/((-2)/(-4)*1). Let n(x) = x**2 - 1 - 2*x**2 + 3 - x. Let i be n(-3). Sort i, 1, p. i, p, 1 Let g(j) be the second derivative of j**3/2 + 2*j**2 + 2*j. Let b be g(-3). Sort 1, -4, b. b, -4, 1 Let i = 335/3 + -112. Sort -4, 0.1, i, -0.1 in decreasing order. 0.1, -0.1, i, -4 Let u = 17 - 12. Let d = 7 + -4. Sort 1/6, d, u. 1/6, d, u Let q = 13.5 + -13. Let u(p) = p - p - 8 - p. Let v be u(-6). Put v, q, -1/5 in decreasing order. q, -1/5, v Let m = 7 - 7.3. Let g(h) = -2*h - 3. Let w be g(-3). Let b = 7 + -8. Sort w, b, m in decreasing order. w, m, b Let c = 0 + -0.1
{ "pile_set_name": "DM Mathematics" }
aller: g or -1? -1 Let o be ((-3)/(-3))/(1/(-7)). Which is greater: -12 or o? o Let q = 3 + -2.7. Let s(v) = v**3 + 8*v**2 + 10*v + 4. Let y be s(-6). Let a be (-4)/(y/3) + (-7)/(-12). Which is smaller: q or a? a Let k = 0.715 - 2.129. Let g = 0.014 + k. Which is smaller: -0.1 or g? g Let b = -0.029 - -0.053. Which is greater: b or 0? b Let i(z) = z**2 + 4*z + 10. Let f be i(-5). Let q be ((-2)/102)/(f/18). Which is smaller: q or 1? q Let z(p) = -p**2 - 28*p + 51. Let j be z(-30). Let c be (-8)/(1*(1 + 0)). Is c >= j? True Let t = 7.9 + -8. Suppose 678*y = 669*y - 468. Which is bigger: y or t? t Let y = 5.4 - 6. Let l = -6 - -5.6. Let g = y + l. Which is bigger: g or 0.1? 0.1 Suppose 5*b - 13 = -8. Which is bigger: -9/29 or b? b Let p = -1.1 + -0.7. Let o = p + 1.7. Let w = o + 0.1. Which is smaller: w or 1/3? w Let f be (622/(-6) + 7)/((-2)/3). Let a be (-3 - -6) + f/(-49). Let x(m) = m. Let l be x(1). Which is greater: a or l? l Let d(s) = -2*s - 29. Let a be d(-17). Suppose -3*h - 1 = 4*g, a*g - 3*h = h - 9. Is g at least -1/7? False Suppose 4*k - 200 = -176. Are 7 and k non-equal? True Let c = -50/99 - 14699/495. Is c greater than or equal to -31? True Let s be ((-30)/(-8)*-1)/(1/4). Which is bigger: -156/11 or s? -156/11 Let q = -15 + 14. Let h = 0.035 - -23.965. Let v = h - 16. Which is greater: v or q? v Suppose -52*p + 2006 = 7*p. Is p equal to 47? False Suppose 3*y - c + 223 = -123, -5*c + 476 = -4*y. Which is smaller: y or -116? -116 Let m be (24/(-105) + 0)*(-10)/4. Let h(c) = -2*c - 1. Let s be h(-1). Which is smaller: s or m? m Let j = -435/56 - -57/7. Suppose -6 + 1 = 5*z. Which is smaller: z or j? z Let b be (15 - 12) + (-2 - 0). Let f be 0 + (-2 - 1)*b. Which is greater: f or -0.02? -0.02 Suppose -h - 558 = 23*g - 18*g, 2*h = -3*g - 1109. Is -552 > h? True Let w(c) = -2*c**2 + 10*c + 14. Let z be w(6). Suppose z*j - 7 = -5*j. Is 1/22 less than j? True Let k be (-40)/(-180) - (-9)/((-243)/(-210)). Which is greater: 45 or k? 45 Let m be (-4)/22 - 2/(-11). Suppose m = -n + s + 908, -5*n + 3*s + 4536 = -0*n. Let w = -6357/7 + n. Do w and -2 have the same value? False Suppose 29 = 3*k - 0*k + 5*s, 4*s = 2*k + 10. Let f(a) = 2*a - 11. Let h be ((-100)/(-40))/(10/24). Let l be f(h). Which is bigger: l or k? k Suppose 5*z = -4*h - 2, -41*h = -45*h - 12. Which is greater: z or 83? 83 Let t(l) = -2*l**2 + 67*l + 70. Let o be t(35). Is o <= -254/7? False Let y = -65 - -61. Let l = -6.1 + 6. Is l at most as big as y? False Let l = -149 - -446/3. Let r = 41.2 + -39. Is l > r? False Suppose -2*y = -4*d + 12, -3*y + 0*d - 6 = -2*d. Let c be (-105)/14*(1 - -5). Let m be (-506)/252 - -2 - 10/c. Is y equal to m? False Let o be (1/18)/((-3)/(-9))*2. Is o not equal to -25? True Suppose 4*i - 38 = -6. Suppose -i - 24 = 2*o. Let u = 5 + o. Which is greater: -9 or u? -9 Let d = -24 + 24. Let v be (1/2)/((-20)/40). Are d and v unequal? True Let b = 20770 - 20823. Let x be 0 - (1 - (-1 - 50)). Which is smaller: x or b? b Let z be (-94)/8*8/(-2). Let y = 140/3 - z. Suppose -126 = -13*f - 8*f. Which is greater: f or y? f Let u = -230.46 - -230. Let d be (2/(-10))/((-2)/(-5)). Which is greater: u or d? u Let n be ((-70)/7)/((-2)/(-3)). Let p = n - -19. Suppose -1 = -p*b + b + x, -b + 5 = -5*x. Which is smaller: 0.1 or b? b Let d = -25225/7 + 3613. Is 9 at most d? True Let r(c) be the second derivative of -c**4/12 - 13*c**3/6 - c**2 - 22*c. Let g be r(-6). Is 40 < g? False Suppose 422 - 128 = 7*g. Let w = g + -53. Is w equal to -12? False Let q = -15 + 15.01. Let u = -1.99 - q. Let z = 3 + u. Is z greater than -1? True Let u = -2249 + 1278. Is u >= -970? False Let c(v) = v**2 - 8*v + 20. Let r be c(5). Let j(w) be the second derivative of -w**5/20 - 7*w**4/12 + w**3 - 11*w**2/2 + 3*w. Let g be j(-8). Is g < r? False Suppose -q - 1086 = -p, -77*q - 2172 = -75*q + p. Which is greater: -1085 or q? -1085 Let k = -38 + 35. Let l be (-1)/k - (-6)/9. Which is smaller: l or -1/37? -1/37 Let y(x) = 4*x**3 + x**2 - 2*x. Let j be y(-2). Let o(z) = z**3 - 2*z**2 - 2*z + 9. Let s be o(4). Let a = s + j. Are a and 9 unequal? False Let u(k) = 2*k**2 - 13*k + 11. Let f be u(6). Suppose -f*q - 109 = 41. Let t be ((-62)/3)/((-2)/(-3)). Do q and t have the same value? False Suppose -4*q + 234 = -5*h - 174, -3*h - 236 = 2*q. Which is bigger: -79 or h? -79 Let x be (-2 + 28/11)*24/9. Suppose 4 = -4*p + 8. Is p less than x? True Let m be 4/(-30)*-6*1. Let k = -142 - -213. Let c = k + -70. Are c and m nonequal? True Suppose -5*w = -10*w + 80. Suppose 3*b = 2*a + 53, 62*b - 58*b + a = 56. Which is smaller: b or w? b Let q = 450 - 229. Which is smaller: -1 or q? -1 Let f = 53 - 32. Suppose -22*p = -f*p + 46. Is p smaller than -46? False Let a = -15.275 - 0.125. Let f = a + 1.4. Let x = f + 15. Are -7/3 and x non-equal? True Suppose 3*x - 2*x = 2*y + 38, -37 = -x + y. Suppose 8*f - 2*f - x = 0. Let i be f/(-9) - (-28)/6. Is i bigger than 4? False Let n be (-5 + 4)*(-1 + 1). Let l(r) = -11*r - 154. Let u be l(-15). Which is smaller: n or u? n Let h = 26276839/4491 + -5851. Is -1 <= h? True Let h = -41 + 21. Let z(f) = 107*f - 127. Let j be z(1). Is h > j? False Let f = 844 + -1125. Is -283 <= f? True Let h(x) = -7 - 2*x + 1 + 4*x - 2. Let k be h(9). Is 10 <= k? True Let l(a) = 13*a + 13. Let o be l(-5). Let m = -52 - o. Is m at most 2? True Suppose -1292 = -5*h - 14*h. Which is greater: h or 271/4? h Suppose 0 = 2*a - z - 85 - 268, a + 5*z - 171 = 0. Is 176 smaller than a? False Suppose 0 + 25 = -b. Let w = 736.2 + -736. Is w bigger than b? True Suppose 4*i + 11 = -5. Suppose 0 = -w - 5*u + 3*u + 7, 5*w = -3*u. Is i greater than or equal to w? False Let y be (-4 - 1)*((-4)/1 - -3). Suppose 3*a + 2*q + 54 = -y, 4*q + 55 = -3*a. Is a > -23? True Let j be (-9 - -5)/(((-40)/5)/2). Which is smaller: -4/797 or j? -4/797 Let j = 2/6373 - -18931/599062. Is j >= 0? True Let b be (-2)/(-8) + 27/20. Let q be ((-1)/(-6))/(11/33). Which is smaller: q or b? q Let x(c) = -71*c - 497. Let z be x(-7). Let d = -4 - -6. Suppose -o - 2*l = 11, 0 = -3*o + d*o - 4*l - 21. Is o less than z? True Suppose -5*c = -2*z - 13, 5*c - c + 3*z = 15. Suppose -2*i = -3 - c. Suppose -5*b + 2*p = -25, 2*b + p = i*p + 4. Is b > -2? True Let u = 25/48 - 659/1296. Which is bigger: 1 or u? 1 Let f = 3 + 35. Let r be (-16)/(-216)*18*444/16. Which is smaller: f or r? r Let i(n) = -n**2 + 35*n + 453. Let j be i(45). Which is bigger: j or 123? 123 Let n(p) = 0*p - 3 - 2 - 3*p. Let r be n(-3). Let g be (-32)/48*(-18)/4. Is r equal to g? False Let i(v) = v**2 - 10*v - 67. Let j be i(15). Suppose 5*a - b = 23 + 2, -5 = 5*a + 5*b. Suppose -j - a = -3*h. Is h at most as big as 6? True Let i = 141/4 - 2963/84. Suppose -3 + 6 = -3*k. Which is smaller: i or k? k Let x be 65/10 + (-3)/6. Let w = 28929 - 88757/3. Let s = w + 663. Is s equal to x? False Let u(b) = 4*b - 13. Let a be u(6). Let z(y) = -y**2 + 11*y - 6. Let n be z(a). Let h(p) = -p**3 - 7*p**2 - 10*p - 18. Let o be h(n). Is 4 at most as big as o? True Let k = 0.5 + -0.83. Let i = -433 + 434. Which is smaller: k or i? k Let p be (9 - 11)*(3 + (-1390)/463). Are p and 0 nonequal? True Let w be 14/3*(-2)/(10/(-135)). Let a be (2 + -1 - -4)*w/(-35). Which is bigger: a or -19? a Let g = 1.67 - 0.27. Let b = 2.3 - g. Is 0.1 >= b? False Let h = -4893 + 229981/47. Is 0 less than h? True Let h = -17 - -24. Let y = h - -4. Which is bigger: 1 or y? y Suppose 3*q = -5*h - 13, 0 = -2*h - h - q - 7. Let o be 1 + (h - 36/(-4)). Suppose t - o = 3*t. Which is bigger: t or -2? -2 Let c = 164 - 164. Let y = 5/13 + -22/91. Are c and y unequal? True Let l = -2513743/17 + 147751. Let r = l - -116. Which is smaller: 0 or r? r Let s be 3 - 13/((-39)/(-36)). Let f be (-254)/9 + (-2)/s. Are f and -28 unequal? False Let r = -72 + 110. Let x be r/14 - (-5 - -26)/7. Which is smaller: x or 11/3? x Let v be -3*3/5*(-2)/26. Let n = 356/715 + v. Which is smaller: n or 1? n Let a = 298 - 311. Is a at least as big as -6? False Let g be 1 - (-1 - (-5)/2). Suppose 0 = -0*i - 2*i + 2*l, -i - 4*l - 15 = 0. Let p(n) = -n**3 - 2*n**2 + 4*n + 2. Let v be p(i). Is g at most as big as v? False Let v = 70.9 + -70.801. Are v and -2 nonequal? True Let l(w) = -8 - 2*w - 5 - 6 - 3*w. Let m be l(-4). Do -11 and m have
{ "pile_set_name": "DM Mathematics" }
of 1 + (-1)/((-5)/(-11)) and (-4)/((-3)/x - 2/(-4))? 5 Suppose -2*n + 4*n - t - 2 = 0, -2*n + 4*t = 4. Suppose 4*h + 13 = 4*r + 1, -n*h + 2 = 0. Calculate the lowest common multiple of 8 and r. 8 Suppose d + 4*y - 40 = -y, 0 = -5*d + 5*y + 110. Suppose -767 + 47 = -16*c. What is the least common multiple of c and d? 225 Suppose 64 = 2*a - 5*x - 17, -2*x + 159 = 5*a. Calculate the lowest common multiple of 54 and a. 594 Suppose -5*d + 2*f + 108 = -0*d, -f + 1 = 0. Let l(s) = 7*s**2 + 76*s - 8. Calculate the lowest common multiple of l(-11) and d. 66 Suppose -4*f = 3*h - 35, -4*f - 10 = -5*h - f. Suppose -h*n - 4*g = g - 270, 4*n = 4*g + 208. Calculate the lowest common multiple of n and 3. 159 Let k be (-1)/2 + 170/20. Calculate the common denominator of (1 - -12*k)*(-5)/30 and ((-19)/6)/((-6)/(-4)). 18 Let d(k) = 17*k - 20. Let l be d(13). Find the common denominator of 67/10 and (l/(-6))/(2/2). 10 What is the common denominator of (-2)/(-19) - (-1877)/38 and 127/6? 6 Let a(t) = 34*t + 1620. Suppose 5*i - 5*r - 60 = 0, 0 = -r - 2*r. Calculate the smallest common multiple of a(-44) and i. 372 What is the smallest common multiple of 13156/364 + (-1)/7 and 72? 72 Let w = 441975/38 + -11629. Find the common denominator of 89/38 and w. 38 Let a = 8 - 5. Suppose -17 + 9 = -4*i. Calculate the lowest common multiple of a and i. 6 Let c(u) = 5*u + 227. Calculate the smallest common multiple of c(-35) and 8. 104 Suppose -c = -1, -z = z - 5*c + 9. Let y = z - 1. What is the smallest common multiple of (-2 + (-2)/y)*-3 and 16? 16 Suppose -2 = -4*y - 18. Calculate the common denominator of 1*(-2)/((-66)/(-93)) and (y/10)/((-16)/(-1780)). 22 Let p = 39 - 37. Let v(b) = -2*b + 5. Calculate the least common multiple of 6 and v(p). 6 Let o = 76 - 62. Calculate the smallest common multiple of 572 and o. 4004 Let q be ((3770/360)/(-29))/(2/(-3966)). Let u be 478/(1 + 1)*3. Let d = q - u. Calculate the common denominator of 79/12 and d. 12 Suppose 0*s - 3*s + 4*o = -176, 2*o = -s + 62. What is the least common multiple of 40 and s? 120 Calculate the lowest common multiple of 40/(-12) + (-16)/(-12) + 146 and 72. 144 Suppose -r - 17 = r - p, 4*r = 4*p - 36. Calculate the common denominator of r/14 + -3 + (-3845)/(-1155) and 10/51. 561 Find the common denominator of (-1)/4 + ((-295)/100 - 0) and 23/30. 30 Suppose -5*s + 8*s = 0. Let j be 4/8*s + 12. Find the common denominator of -34/11 and j/(-42) - (-422)/56. 44 Let d = -46 - -47. Calculate the common denominator of -2 - ((-564)/64 + d) and 151/60. 240 Let l = -36549/2 - -19325. Let z = -1020 + l. Calculate the common denominator of z and 57/4. 4 Suppose -2*j - 149421 + 32601 = 0. Let o be 12/66 + 110357/j. Let l = -4/531 - o. What is the common denominator of l and 37/10? 10 Let g be 1 + -1 - 11138/(-10). Let r = 1122 - g. Let f = r + -527/60. What is the common denominator of 71/20 and f? 60 Let d = 30583/156 - 2580/13. Calculate the common denominator of d and 41/237. 948 Let c be 4/(-24) + (-52)/(-24). Suppose -5*w = c*n - 50, 25 = -3*n + 8*n. Calculate the least common multiple of 18 and w. 72 Calculate the common denominator of 17/20 and 694/(-2632) + (-3)/(-7). 940 Let w = -416167/133 - -3129. Let c = -5493/532 - w. Find the common denominator of c and -87/2. 4 Suppose -2*k + 44 = 5*l, k + 2*l - 31 = -11. Let m be (-45)/(7/(56/(-12))). Let v = 42 - m. What is the least common multiple of v and k? 12 Let x = -1 + -2. Let j(a) = a**3 + 3*a**2 - a + 5. Let b be j(x). Let u(o) = o**2 - 4*o - 16. Calculate the lowest common multiple of 20 and u(b). 80 What is the smallest common multiple of ((-2)/5)/(5 - (-462)/(-90)) and 18? 18 Suppose 5*o = 3*d + 73, 6*d - 65 = -5*o + d. Suppose -k = -3*c + k + 29, c + 5 = -3*k. What is the lowest common multiple of o and c? 14 Let k be (-18930)/9*(-9)/6*1. Let s = k + -31439/10. What is the common denominator of s and 85/2? 10 Suppose -3*f + 6 = -6. Suppose f*i + 0*i = 16. What is the smallest common multiple of i and (-1 - 0) + (19 - 2)? 16 Suppose 90*d = 82*d + 80. Suppose 2*n = -4*z + 414, 4*z + n - 100 = 319. Calculate the least common multiple of d and z. 530 Suppose 4 = 3*t - 4*t. Calculate the common denominator of t/(-10) - (-219)/165 and 15/14 + 6/4. 77 Find the common denominator of -77/78 and (-1)/12*-6 - 47/60. 780 Let r = -858 - -10303/12. Calculate the common denominator of -23/9 and r. 36 Suppose 3*z + 3*c - 8 = -2, -c + 10 = 5*z. Suppose 4*h = -z - 2. Calculate the least common multiple of h/(-2) + 190/20 and 2. 10 Let b = -641 + 105. What is the common denominator of ((b/(-18))/4)/1 and -79/8? 72 Let c be -6 + 114 - (1 - 4). Let g = c + -71. Calculate the least common multiple of g and 20. 40 Let p = 6 - 2. Let n be (-12)/(-15)*(-90)/(-12). Suppose 0 = -p*h + n + 14. Calculate the lowest common multiple of h and 4. 20 Let g(w) = 1061*w**2 - w + 3. Let a be g(-3). Let q = -360142723/18 - -20017491. Let f = q - a. Find the common denominator of f and 53/22. 198 Let g = 346834/3 + -116697. Let m = 1102 + g. Calculate the common denominator of -133/24 and m. 24 Let x(o) = -o**2 - 6*o + 3. Let h be x(-3). Let f = h + 18. Suppose 5*y = -2*b + f, 0*b = 3*y - 5*b - 18. Calculate the least common multiple of y and 3. 6 Let u be 9/57*3/72. Let b = u - 1445/152. Find the common denominator of (-2907)/180 + (-4)/(-10) and b. 4 Let h(u) = 4*u + 184. What is the smallest common multiple of 282 and h(-37)? 1692 Let s = 6612 - 85906/13. Calculate the common denominator of 69/44 and s. 572 Suppose -2*h - 80 = -4*s, 3*h = -s - 15 + 42. What is the common denominator of 4 + -3*346/108 and 1/s*1710/12? 126 Let r = -252775707/34 - -7433901. Let n = 681 + r. Find the common denominator of -59/22 and n. 374 Suppose 0 = -k - 5, -l - 21 = -4*l + 3*k. Suppose -l = -3*m + 46. Calculate the smallest common multiple of m and 12. 48 Suppose 5*d - 20 = 0, -h + 3*d - 2*d = 6. Let w = 1384 + -9735/7. What is the common denominator of 31/(-4) + 6/h and w? 28 What is the common denominator of 51/4 and ((1024/1100)/(-8))/(3/(-30))? 220 Let i = 5084 + -33910/7. Let z = -33049/140 + i. Find the common denominator of z and -31/20. 20 Suppose 4*q = -2*s + 22 - 8, 0 = 5*s - 5*q + 10. What is the common denominator of (-4)/(-66)*3210/40 and -7*(-11)/6 - s? 66 Let k = 3463/1067 - 15/97. Suppose -o + g + 4452 = o, 0 = -2*o + 3*g + 4452. Let d = 24540/11 - o. Find the common denominator of k and d. 11 What is the common denominator of -29/21 and (-76)/56 + 5 + -2 + -2? 42 Let g = 69 - 62. What is the lowest common multiple of 21 and g? 21 Let l be 0 - (7 - (-1 - 1)). Let b = -2 + l. Calculate the common denominator of -39/22 and (b/(-3))/(2/(-3)). 22 Let k = 8/6925 - 6524/851775. Let l = -1/551267174 + -5941833232499/1356117248040. Let d = l - k. Calculate the common denominator of d and 1/10. 40 Suppose -2*y + 6*t = 4*t + 110, 160 = -3*y + 2*t. Let l = 56 + y. Calculate the lowest common multiple of 22 and l. 66 Suppose 0 = -4*k - 3*f + 350, -3*f = 5*k + f - 438. What is the lowest common multiple of k and 7? 602 Let h = 37829 + -16228648/429. Let i be (-2)/8 + 5734/858. Let m = h + i. What is the common denominator of 45 and m? 12 Suppose -5*y + 10 = -d - 0*d, 0 = d - 4*y + 7. Suppose 2*m + 6 = -m. Let n(i) = 3*i**2 + i. Calculate the least common multiple of d and n(m). 10 Let r = 39331/18 - 2183. What is the common denominator of 3/8 and r? 72 Let w = 6127 - 36397/6. Let u = -65 + w. What is the common denominator of u and -8*(11/14 + 0)? 42 Let v be 15/3 + (-224)/(-4). Suppose v*h + 20 = 71*h. What is the smallest common multiple of h and (-1*1)/((-2)/6)? 6 Let y be (-7)/((-7)/(-93)) + -1. Let t = 102 + y. Calculate the least common multiple of t and 18. 72 Let o be (15 - 3)*(-9)/(-24)*334. Let l = o - 16551/11. Calculate the common denominator of 9/25 and l. 275 Let l be 1 - 8/(-4) - 3. Suppose 3*g + 5*i = 64, -2*g - 6*i + 3*i + 41 = l. Let b = 21 - g. What is the least common multiple of 2 and b? 8 Let j = -4373 - -52429/12. What is the common denominator of j and 650/(-72)*(-1)/5? 36 Find the common denominator of (-5 + (-1132)/(-8))/30 and 892/3640 + (-4)/(-14). 260 Suppose -41*n = 11*n - 24544. What is the lowest common multiple of 16 and n? 944 Find the common denominator of -133/110 an
{ "pile_set_name": "DM Mathematics" }
210 Convert 324 (base 7) to base 11. 140 29 (base 10) to base 11 27 1 (base 5) to base 10 1 0 (base 8) to base 9 0 What is 14 (base 10) in base 12? 12 1112 (base 5) to base 2 10011101 11 (base 5) to base 7 6 Convert -1110 (base 3) to base 16. -27 What is 26 (base 16) in base 10? 38 What is 24 (base 14) in base 6? 52 Convert 5d (base 14) to base 2. 1010011 What is 0 (base 11) in base 9? 0 2 (base 11) to base 2 10 -124 (base 14) to base 10 -228 3 (base 14) to base 16 3 Convert -79 (base 12) to base 9. -113 What is 12 (base 9) in base 14? b -5 (base 14) to base 4 -11 -31 (base 4) to base 16 -d 1000 (base 4) to base 3 2101 Convert 1 (base 9) to base 14. 1 Convert -11 (base 13) to base 5. -24 -105 (base 7) to base 11 -4a What is -4 (base 13) in base 8? -4 6 (base 13) to base 4 12 What is 122 (base 4) in base 9? 28 Convert -5 (base 10) to base 7. -5 Convert 4 (base 5) to base 4. 10 Convert 15 (base 9) to base 10. 14 What is -130 (base 6) in base 12? -46 What is 17 (base 11) in base 15? 13 Convert 260 (base 7) to base 5. 1030 2012 (base 5) to base 13 16a What is 5 (base 8) in base 4? 11 -3 (base 4) to base 12 -3 What is 4 (base 10) in base 12? 4 Convert 23 (base 5) to base 9. 14 Convert 12 (base 11) to base 5. 23 What is -7 (base 10) in base 13? -7 -9 (base 14) to base 10 -9 What is -10100111 (base 2) in base 10? -167 What is -21 (base 3) in base 6? -11 Convert -27 (base 14) to base 6. -55 -1000 (base 3) to base 4 -123 51 (base 8) to base 10 41 Convert 46 (base 14) to base 12. 52 -3 (base 7) to base 9 -3 23 (base 5) to base 10 13 Convert -6 (base 10) to base 15. -6 141 (base 6) to base 8 75 Convert 14 (base 11) to base 15. 10 -25 (base 6) to base 16 -11 Convert -66 (base 9) to base 13. -48 -146 (base 14) to base 12 -196 What is 121 (base 4) in base 15? 1a -3 (base 9) to base 10 -3 What is 176 (base 8) in base 15? 86 0 (base 15) to base 2 0 Convert 4 (base 16) to base 8. 4 Convert 2 (base 9) to base 6. 2 10 (base 3) to base 2 11 Convert -8 (base 13) to base 6. -12 Convert -14 (base 7) to base 5. -21 Convert 40 (base 5) to base 7. 26 4 (base 16) to base 3 11 Convert -27 (base 9) to base 13. -1c Convert -312 (base 5) to base 12. -6a What is 1 (base 9) in base 13? 1 4 (base 7) to base 15 4 101010 (base 2) to base 10 42 Convert -111 (base 2) to base 15. -7 Convert -6 (base 9) to base 14. -6 -2 (base 9) to base 12 -2 What is -1 (base 4) in base 5? -1 Convert 6 (base 7) to base 11. 6 Convert 4 (base 10) to base 16. 4 Convert -1 (base 11) to base 15. -1 Convert -73 (base 11) to base 7. -143 21 (base 12) to base 11 23 What is 35 (base 7) in base 13? 20 Convert -303 (base 5) to base 9. -86 What is 201 (base 7) in base 12? 83 Convert 0 (base 9) to base 14. 0 Convert -ba (base 16) to base 4. -2322 Convert 16 (base 14) to base 9. 22 What is 111011 (base 2) in base 11? 54 2 (base 16) to base 12 2 Convert -10 (base 4) to base 14. -4 Convert -81 (base 15) to base 7. -232 10 (base 2) to base 11 2 Convert 40 (base 16) to base 11. 59 110110 (base 2) to base 5 204 Convert 0 (base 6) to base 4. 0 What is 10 (base 4) in base 15? 4 Convert 0 (base 8) to base 2. 0 -33 (base 6) to base 13 -18 -1120 (base 4) to base 3 -10021 40 (base 10) to base 14 2c Convert 24 (base 5) to base 2. 1110 What is -20220 (base 3) in base 7? -354 0 (base 5) to base 6 0 What is 4 (base 12) in base 6? 4 23 (base 13) to base 11 27 What is -120 (base 15) in base 10? -255 What is 22 (base 11) in base 10? 24 0 (base 2) to base 12 0 -11 (base 3) to base 12 -4 What is 224 (base 5) in base 8? 100 20 (base 16) to base 12 28 Convert b (base 12) to base 8. 13 0 (base 10) to base 3 0 Convert -232 (base 5) to base 8. -103 What is 20 (base 16) in base 5? 112 Convert -2a (base 15) to base 11. -37 Convert 4 (base 5) to base 10. 4 0 (base 10) to base 9 0 Convert 3 (base 6) to base 5. 3 What is 14 (base 14) in base 6? 30 What is 24 (base 6) in base 9? 17 82 (base 12) to base 10 98 68 (base 16) to base 4 1220 What is 8 (base 11) in base 4? 20 -1 (base 8) to base 5 -1 What is 3 (base 14) in base 13? 3 56 (base 16) to base 7 152 -2 (base 15) to base 4 -2 Convert 11 (base 3) to base 11. 4 15 (base 15) to base 3 202 What is -6 (base 14) in base 7? -6 What is -113 (base 5) in base 10? -33 -111 (base 8) to base 14 -53 1 (base 15) to base 12 1 Convert -1122 (base 5) to base 16. -a2 31 (base 4) to base 10 13 Convert 24 (base 11) to base 7. 35 Convert 15 (base 9) to base 11. 13 Convert 12 (base 5) to base 10. 7 What is -20 (base 3) in base 9? -6 Convert 74 (base 9) to base 2. 1000011 Convert 0 (base 16) to base 4. 0 What is 8 (base 16) in base 12? 8 What is 356 (base 7) in base 12? 138 Convert 65 (base 12) to base 14. 57 Convert 3 (base 7) to base 11. 3 What is 8 (base 9) in base 7? 11 -11 (base 4) to base 11 -5 Convert -2 (base 16) to base 11. -2 What is 8 (base 14) in base 9? 8 What is -130 (base 5) in base 2? -101000 Convert 5 (base 15) to base 11. 5 What is 4 (base 13) in base 9? 4 Convert 1 (base 11) to base 3. 1 -a (base 12) to base 10 -10 What is 21 (base 10) in base 4? 111 What is 37 (base 10) in base 13? 2b -1022 (base 3) to base 13 -29 Convert -5 (base 13) to base 14. -5 -45 (base 6) to base 7 -41 What is 0 (base 5) in base 8? 0 What is -245 (base 6) in base 14? -73 Convert -2 (base 6) to base 9. -2 What is -91 (base 11) in base 3? -10201 -14 (base 8) to base 12 -10 71 (base 13) to base 7 161 0 (base 6) to base 13 0 What is -6a (base 13) in base 11? -80 Convert -7 (base 9) to base 14. -7 What is 34 (base 6) in base 10? 22 Convert 2020 (base 3) to base 6. 140 What is 111 (base 2) in base 13? 7 -50 (base 8) to base 14 -2c Convert 16 (base 8) to base 9. 15 What is 54 (base 15) in base 7? 142 -10011 (base 2) to base 6 -31 Convert 7 (base 16) to base 12. 7 What is -35 (base 15) in base 6? -122 Convert -6 (base 10) to base 2. -110 What is -16 (base 11) in base 6? -25 What is -1 (base 3) in base 4? -1 -16 (base 12) to base 14 -14 Convert 5 (base 13) to base 12. 5 1d (base 16) to base 13 23 Convert 21 (base 6) to base 14. d Convert -2 (base 6) to base 2. -10 What is -4 (base 16) in base 15? -4 Convert -a (base 11) to base 14. -a What is 37 (base 11) in base 3? 1111 Convert 100 (base 14) to base 7. 400 Convert -10 (base 3) to base 2. -11 What is 9 (base 11) in base 4? 21 -31 (base 7) to base 6 -34 -c (base 13) to base 9 -13 -1111110 (base 2) to base 16 -7e Convert -8 (base 11) to base 6. -12 -5 (base 6) to base 10 -5 What is 7 (base 10) in base 3? 21 1 (base 5) to base 7 1 -b2 (base 13) to base 3 -12101 What is -1 (base 16) in base 5? -1 91 (base 11) to base 12 84 What is -1 (base 3) in base 4? -1 45 (base 6) to base 16 1d What is -63 (base 11) in base 12? -59 What is 0 (base 13) in base 2? 0 11 (base 9) to base 7 13 What is 4 (base 7) in base 9? 4 What is 2112 (base 4) in base 5? 1100 -47 (base 11) to base 7 -102 Convert -1 (base 3) to base 12. -1 What is -5 (base 11) in base 5? -10 131 (base 8) to base 4 1121 11 (base 5) to base 4 12 Convert -2 (base 9) to base 11. -2 173 (base 10) to base 7 335 Convert -a6 (base 16) to base 13. -ca -1 (base 15) to base 2 -1 37 (base 10) to base 13 2b 2 (base 5) to base 8 2 What is -100101 (base 2) in base 9? -41 What is 64 (base 9) in base 11? 53 Convert 49 (base 11) to base 5. 203 -454 (base 7) to base 6 -1031 What is 2c (base 16) in base 15? 2e What is -10a (base 11) in base 3? -11212 Convert -114 (base 6) to base 10. -46 What is 3 (base 11) in base 14? 3 6 (base 11) to base 2 110 -10 (base 4) to base 2 -100 -1 (base 3) to base 2 -1 Convert 2 (base 16) to base 14. 2 Convert -2 (base 16) to base 9. -2 3 (base 6) to base 2 11 9 (base 12) to base 2 1001 What is 10 (base 2) in base 12? 2 Convert 232 (base 10) to base 8. 350 Convert 18 (base 9) to base 3. 122 What is -12 (base 4) in base 9? -6 a (base 15) to base 3 101 What is 111 (base 2) in base 4? 13 Convert -201 (base 4) to base 6. -53 What is 10 (base 2) in base 14? 2 Convert 2 (base 7) to base 5. 2 What is 11100 (base 2) in base 5? 103 83 (base 11) to base 16 5b What is 245 (base 11) in base 10? 291 What is -1 (base 13) in base 15? -1 What is 6 (base 15) in base 16? 6 Convert 102 (base 6) to base 11. 35 What is 120 (base 4) in base 10? 24 What is -5 (base 12) in base 3? -12 Convert -7 (base 10) to base 11. -7 Convert 2 (base 14)
{ "pile_set_name": "DM Mathematics" }
- 2*t wrt m. 53*c**3*t - 6*c**3 - c*t Find the second derivative of -3741*h**2*q**2 - h**2 + h*q + 2*q**2 + 3*q + 74 wrt q. -7482*h**2 + 4 Find the third derivative of -138810*a**2*l**3 - 6567*a**2*l**2 + 2*a**2 + a*l**3 + 2*a wrt l. -832860*a**2 + 6*a What is the third derivative of -z**6 + z**5 - 28504*z**4 + 4*z**2 + 3*z + 4289? -120*z**3 + 60*z**2 - 684096*z Find the second derivative of -2*f**3*i**2*z - 7*f**2*i**2 - 44*f**2*z - 11440*f*i*z - 2*i**2 wrt f. -12*f*i**2*z - 14*i**2 - 88*z What is the first derivative of -2*o**4 - 23952*o**3 + 59479 wrt o? -8*o**3 - 71856*o**2 What is the third derivative of 4*n**4*o**2 + 25386*n**3*o**2 - 414*n**2*o**2 - 23*n**2 + o**2 wrt n? 96*n*o**2 + 152316*o**2 Differentiate -101*j**2*v**2 - 21*j**2 + j + 452*v**4 - 310 with respect to v. -202*j**2*v + 1808*v**3 Find the second derivative of 945*w**4 - 7*w**3 + 2*w**2 + 248*w + 2115. 11340*w**2 - 42*w + 4 What is the second derivative of -61300*u**2 + 31295*u? -122600 What is the first derivative of 412167*x + 1076008? 412167 Find the second derivative of 3*f**3*i - 750726*f**2*i**2 - 73*f*i + 2298*i**2 wrt f. 18*f*i - 1501452*i**2 Find the third derivative of 8*a**5 + a**4 - 3458*a**3 + 44*a**2 - 2*a - 5 wrt a. 480*a**2 + 24*a - 20748 What is the second derivative of 1464132*l**2 + 67778*l wrt l? 2928264 What is the first derivative of -286209*m**3 + 2322? -858627*m**2 Find the first derivative of v**3*w + 128*v*w**2 + 111*v - 2274*w**2 + 3 wrt v. 3*v**2*w + 128*w**2 + 111 What is the derivative of 222717*z + 138481? 222717 Find the third derivative of -163602*h**5 + 2*h**4*j**2 - 7029*h**2*j**2 - 223*j**2 wrt h. -9816120*h**2 + 48*h*j**2 Find the first derivative of 31*r*w**3 - 1262*r*w**2 - 69683*w**3 - 4 wrt r. 31*w**3 - 1262*w**2 What is the third derivative of 61883*r**3 + 2*r**2 - 5994 wrt r? 371298 Find the second derivative of -42109*y**2 + 785*y. -84218 What is the second derivative of k**4 + 14571*k**2 + 9*k + 732? 12*k**2 + 29142 What is the third derivative of -38*v**3*z**3 + 1333*v**3*z**2 + 8*v**2*z - 21525*v*z**3 wrt v? -228*z**3 + 7998*z**2 What is the first derivative of -q**2 + 36851*q + 32132 wrt q? -2*q + 36851 Differentiate -7*b**3*o - b**3*t**2 - 13*b**3*t - 2*b**2*o + b**2*t + 343*b*o*t**2 - 123 wrt o. -7*b**3 - 2*b**2 + 343*b*t**2 Find the third derivative of 37233*p**4 + 26912*p**2 wrt p. 893592*p What is the derivative of -7*q**4 + 189217*q**2 + 3131816? -28*q**3 + 378434*q Find the second derivative of -3672*h**3 + 12*h**2 + 5838*h wrt h. -22032*h + 24 What is the second derivative of 53*g**3*r**3 + 11*g**3*r**2 + 2*g**3*r - 11802*g**2*r - 4*r**4 wrt r? 318*g**3*r + 22*g**3 - 48*r**2 What is the first derivative of -81430*b**4 - 591475? -325720*b**3 Find the second derivative of -8*o**4 - 11547*o**3 - 244921*o. -96*o**2 - 69282*o What is the third derivative of -11*i**4*w**2 + 240*i**4*w + 8*i**4 + 9*i**2*w**2 - i**2*w - 21*i*w**2 - 2*i wrt i? -264*i*w**2 + 5760*i*w + 192*i What is the derivative of -15198*b**4 - 36456 wrt b? -60792*b**3 Find the third derivative of 74035*r*w**4 - 12*r*w**3 - r*w**2 + 283836*r*w wrt w. 1776840*r*w - 72*r Differentiate -53*l**3*o*v - 3*l**3*o + 34*l**2*o**2 - 272*l*o**2 + 173*o**2*v wrt v. -53*l**3*o + 173*o**2 Find the first derivative of 144*k**3*z**4 + 10*k**3*z + 17943*k**3 wrt z. 576*k**3*z**3 + 10*k**3 What is the second derivative of 61594*n**2*w**2 - 34*n*w - 2*n + 33*w**2 + 4*w wrt n? 123188*w**2 What is the third derivative of 302*c**6 + 254*c**5 - c**3 + 2*c**2 - 53478 wrt c? 36240*c**3 + 15240*c**2 - 6 Find the third derivative of 26055*u**6 - 27849*u**2. 3126600*u**3 Differentiate 1108*g**3 + g**2 - 159*g - 5070840 with respect to g. 3324*g**2 + 2*g - 159 What is the first derivative of 67*l**2 + 208*l + 1123946? 134*l + 208 What is the second derivative of 160*l**2*q*x**2 + 442*l**2*x**2 - 2*l*q + l*x**2 + 42219*q wrt l? 320*q*x**2 + 884*x**2 Find the third derivative of -34208*i**6 + 2*i**2 + 9*i - 414. -4104960*i**3 What is the third derivative of -31540*v**2*w**3 - 2*v**2*w + 16*v*w**2 - 39*v + 4*w**3 wrt w? -189240*v**2 + 24 What is the first derivative of 190595*r**3 - 2279239 wrt r? 571785*r**2 What is the third derivative of -3069*m**3*t**2 + 12*m**3*x - m**2*x + 494*t**2*x - 8*t*x + 2*x wrt m? -18414*t**2 + 72*x What is the third derivative of 4*q**3*w**2 + 5537*q**3 - 5704*q**2 + 4*q*w**2 wrt q? 24*w**2 + 33222 Differentiate -2*i*u - 674260*i - 13153*u wrt u. -2*i - 13153 What is the second derivative of 64923*c**3 - 57385*c? 389538*c What is the first derivative of 35*g**3 + 704*g**2 + 2*g - 1474242 wrt g? 105*g**2 + 1408*g + 2 What is the third derivative of -57864*a**5 - 2*a**4 - 2*a**3 + 282541*a**2? -3471840*a**2 - 48*a - 12 What is the third derivative of 3*k**3*r**4 - 41*k**3*r**3 + 12106*k**3*r**2 - 2*k**3*r + 2*r**3 wrt r? 72*k**3*r - 246*k**3 + 12 What is the first derivative of -11554*p + 5819? -11554 What is the second derivative of -33068*i**2 + 9891*i + 2? -66136 What is the third derivative of -1656827*o**5 - 2*o**3 + 149*o**2 - 3*o - 57 wrt o? -99409620*o**2 - 12 What is the third derivative of -13716*i**3*r**3 - 302*i**3*r**2 - 136*i**2*r**2 + 10*r**5 wrt r? -82296*i**3 + 600*r**2 Differentiate 105433*h**2*r*u - 2*h**2 + 12328*r wrt u. 105433*h**2*r Find the third derivative of 2*b*i**3 + 3*b*i**2*r**2 - 9*b*i - 2937*i**3*r**2 + 5*i**3 - 2*i**2*r**2 - 135*i*r**2 - 2*i*r wrt i. 12*b - 17622*r**2 + 30 Find the first derivative of -16*b**4 + 270*b + 28932 wrt b. -64*b**3 + 270 What is the second derivative of -18*v**2*z**2 - 2*v**2*z - 6*v*z**2 + 10139*v*z - 2*z**3 + z**2 - 6*z wrt z? -36*v**2 - 12*v - 12*z + 2 Find the second derivative of -91125*t*v**2 - 6*t*v + t + 2*v - 90 wrt v. -182250*t What is the first derivative of -33*k**2*p**2 - 4*k**2*p + 2*k**2 - 29*p**2 - 86*p - 1 wrt k? -66*k*p**2 - 8*k*p + 4*k Find the third derivative of 1703475*l**5*s**2 + l**3*s**3 - 19*l**2*s**2 + l**2*s - 170*l*s**3 + l + 10*s**3 wrt l. 102208500*l**2*s**2 + 6*s**3 What is the second derivative of -6*k**4 + 4618*k**3 - 2*k + 45340? -72*k**2 + 27708*k Find the second derivative of 3*l**4 - 10778*l**3 + 2*l**2 + 2*l + 17999. 36*l**2 - 64668*l + 4 Differentiate 161351*o**2 - 70774 with respect to o. 322702*o Find the second derivative of 9*p**5*t - 765*p**5 - 2*p*t + 2*p + 49964 wrt p. 180*p**3*t - 15300*p**3 Find the third derivative of 8*o**6 + 804*o**5 + 18*o**4 + 129*o**2 + o + 285. 960*o**3 + 48240*o**2 + 432*o What is the first derivative of -1155615*j + 5123285 wrt j? -1155615 What is the second derivative of -1247*i**2*m*x - 2*i**2*m - 5*i**2*x - 48*i*m*x - 55*i + 2*m*x wrt i? -2494*m*x - 4*m - 10*x Find the second derivative of -168570*b*p**3 + 600*b*p + 15*b wrt p. -1011420*b*p Find the second derivative of 389*k**2*m**2 + 183*k**2 + 24*k*m - k + m**2 + 302*m wrt k. 778*m**2 + 366 What is the second derivative of 17499*f**5 + 3*f**2*q**2 - 2*f*q - 119*q**2 + 96 wrt f? 349980*f**3 + 6*q**2 What is the second derivative of -m*p**2*v + 9908*m*p*v + 4*m*v - p**4 + 9676*p**3*v - 4*p wrt p? -2*m*v - 12*p**2 + 58056*p*v What is the second derivative of 27*p**4*t - 4879*p**4 - 2*p**2 - 3443*p*t + 148*t wrt p? 324*p**2*t - 58548*p**2 - 4 Differentiate -500*u**3 - 45*u**2 - 2*u - 131784 wrt u. -1500*u**2 - 90*u - 2 What is the second derivative of -42379*u**2*x - 66516*u*x wrt u? -84758*x What is the third derivative of 45*q*w**3 - 3*q*w**2 + q*w + 2*q + 33*w**3 - 793*w**2 wrt w? 270*q + 198 What is the first derivative of -438*w**3 - 26*w - 115795? -1314*w**2 - 26 What is the third derivative of 642256*k**3 + 289910*k**2? 3853536 Differentiate -12*c*j**2 + 20*c*j - 21992*c + 8*j**2 - j with respect to j. -24*c*j + 20*c + 16*j - 1 Find the third derivative of -221*r**4 + 1627*r**3 - 384*r**2 - 173*r + 11. -5304*r + 9762 Find the third derivative of 51*d**4*p**2 + 998*d**3*p**3 + 648*d**2*p**2 - 47*d*p**3 wrt d. 1224*d*p**2 + 5988*p**3 What is the third derivative of -g**3*l**4 + g**3*l + 22*g**2*l**2 + 7548*g*l**4 - 2*l**3 + 15*l**2 wrt l? -24*g**3*l + 181152*g*l - 12 What is the third derivative of -163741*c*f**3 - 35*c*f**2 - 43*c*f - c + 3 wrt f? -982446*c What is the second derivative of 29*d*f**4 + d*f - 6323*d + 1847*f**2 + 2*f wrt f? 348*d*f**2 + 3694 What is
{ "pile_set_name": "DM Mathematics" }
to 3 decimal places? -0.002 Round -0.00003496 to seven decimal places. -0.000035 What is -0.000092874 rounded to 6 dps? -0.000093 Round 0.000596 to 5 dps. 0.0006 What is 0.00072658 rounded to four dps? 0.0007 What is -179650 rounded to the nearest one hundred thousand? -200000 Round -44.602 to one dp. -44.6 Round -321970 to the nearest ten thousand. -320000 Round 1326 to the nearest 10. 1330 Round -7572000 to the nearest one hundred thousand. -7600000 What is -1237 rounded to the nearest one hundred? -1200 Round -0.056131 to 2 decimal places. -0.06 What is -1.462 rounded to one decimal place? -1.5 Round -0.33531 to 2 decimal places. -0.34 Round -0.099 to one dp. -0.1 What is -1319.61 rounded to the nearest one hundred? -1300 What is 0.0000008141 rounded to seven dps? 0.0000008 What is 0.011314 rounded to 3 dps? 0.011 What is -0.0002133 rounded to five dps? -0.00021 What is 41.49 rounded to the nearest integer? 41 What is -782500 rounded to the nearest 100000? -800000 What is -0.02822 rounded to 3 decimal places? -0.028 Round -128090 to the nearest ten thousand. -130000 What is 24854 rounded to the nearest ten thousand? 20000 Round 4.311 to the nearest integer. 4 Round -3.448 to the nearest integer. -3 What is 0.000033 rounded to 6 dps? 0.000033 Round -0.000055667 to 5 dps. -0.00006 What is -0.036012 rounded to 4 dps? -0.036 What is -0.0267985 rounded to three dps? -0.027 Round -32300000 to the nearest 1000000. -32000000 Round -16500000 to the nearest 1000000. -17000000 What is -0.00046578 rounded to 5 dps? -0.00047 What is 0.00155052 rounded to 5 dps? 0.00155 What is 233430 rounded to the nearest one thousand? 233000 Round 0.000000148 to seven decimal places. 0.0000001 What is -1.211 rounded to one decimal place? -1.2 Round 0.000005994 to six decimal places. 0.000006 What is -22.29 rounded to 0 decimal places? -22 Round 0.00003072 to six decimal places. 0.000031 What is -0.01686 rounded to 3 dps? -0.017 Round 1010 to the nearest one hundred. 1000 Round -161000 to the nearest 10000. -160000 Round 0.0002674 to 3 dps. 0 Round -63767 to the nearest ten thousand. -60000 What is 63700000 rounded to the nearest 1000000? 64000000 What is -0.00371 rounded to two dps? 0 Round -2.4616 to 1 decimal place. -2.5 What is 0.0000362 rounded to 5 dps? 0.00004 What is -0.0313 rounded to 2 dps? -0.03 What is -0.00000951 rounded to 5 decimal places? -0.00001 Round 0.000011364 to seven dps. 0.0000114 What is -3560 rounded to the nearest 100? -3600 What is 233.02 rounded to 0 dps? 233 Round 23340000 to the nearest one million. 23000000 Round 4.642 to the nearest integer. 5 What is 0.5925 rounded to 2 decimal places? 0.59 Round -0.000855 to 4 decimal places. -0.0009 What is 1065140 rounded to the nearest 100000? 1100000 Round 15698 to the nearest 1000. 16000 Round -32695200 to the nearest one million. -33000000 Round -336000 to the nearest ten thousand. -340000 Round 86841000 to the nearest 100000. 86800000 What is -1361100 rounded to the nearest one hundred thousand? -1400000 Round -0.1781 to three decimal places. -0.178 Round 10028 to the nearest one hundred. 10000 What is -398700 rounded to the nearest 100000? -400000 What is -0.3235 rounded to 2 decimal places? -0.32 What is 91943000 rounded to the nearest 1000000? 92000000 What is 0.000041219 rounded to six dps? 0.000041 Round 1279 to the nearest 10. 1280 Round -206.7 to the nearest 10. -210 What is -0.0001283 rounded to five dps? -0.00013 Round -0.105273 to two decimal places. -0.11 Round -0.0000119568 to six dps. -0.000012 What is -0.00008445 rounded to 6 decimal places? -0.000084 Round 0.00059371 to five decimal places. 0.00059 What is -8005 rounded to the nearest 100? -8000 Round -0.003238 to 4 dps. -0.0032 Round 0.00000398147 to six decimal places. 0.000004 Round 1197.65 to the nearest 100. 1200 What is -22093 rounded to the nearest 100? -22100 Round -0.0008695 to 4 decimal places. -0.0009 Round 141.7 to the nearest ten. 140 What is -58.37 rounded to the nearest 10? -60 What is 2575000 rounded to the nearest 100000? 2600000 What is 0.3145 rounded to 2 decimal places? 0.31 Round 0.0001125 to six dps. 0.000113 What is 0.08605 rounded to 1 dp? 0.1 Round 10887 to the nearest 1000. 11000 Round -0.000019108 to six decimal places. -0.000019 Round 639700 to the nearest 100000. 600000 Round -727400 to the nearest one hundred thousand. -700000 What is 7530000 rounded to the nearest one hundred thousand? 7500000 Round 137 to the nearest 100. 100 What is 5101100 rounded to the nearest one hundred thousand? 5100000 Round -0.23324 to 1 dp. -0.2 Round 0.0000009426 to 6 decimal places. 0.000001 What is 20692.6 rounded to the nearest one hundred? 20700 Round -0.28158 to one decimal place. -0.3 What is -56455 rounded to the nearest ten thousand? -60000 Round 18706.9 to the nearest 1000. 19000 What is 131210 rounded to the nearest 10000? 130000 Round 0.0000147413 to six decimal places. 0.000015 Round 13851 to the nearest one thousand. 14000 What is 0.0001623 rounded to 3 dps? 0 What is -0.10984 rounded to two decimal places? -0.11 What is -77.29 rounded to the nearest integer? -77 What is -5.4193 rounded to 1 dp? -5.4 What is -0.015083 rounded to 3 dps? -0.015 Round -0.00041129 to 5 dps. -0.00041 What is 550.4 rounded to the nearest ten? 550 What is 95508 rounded to the nearest ten thousand? 100000 Round -0.00008516 to 6 decimal places. -0.000085 Round -0.19559 to 3 dps. -0.196 What is 0.00000020525 rounded to 7 decimal places? 0.0000002 Round 0.0066818 to four dps. 0.0067 Round 1631100 to the nearest 100000. 1600000 Round 3229 to the nearest 1000. 3000 What is -0.00006868 rounded to 5 decimal places? -0.00007 What is -1220 rounded to the nearest one hundred? -1200 What is -15130000 rounded to the nearest 1000000? -15000000 What is 0.00282167 rounded to five dps? 0.00282 What is -49.25 rounded to the nearest 10? -50 What is 20.41 rounded to 0 decimal places? 20 What is 0.0024163 rounded to 3 dps? 0.002 Round 0.00034 to 5 dps. 0.00034 What is 0.50192 rounded to three dps? 0.502 Round 0.030507 to 2 dps. 0.03 Round 0.00035812 to 5 decimal places. 0.00036 What is 0.20654 rounded to two dps? 0.21 What is -3499.6 rounded to the nearest 10? -3500 What is 0.0000731 rounded to 5 decimal places? 0.00007 What is 0.000684989 rounded to four dps? 0.0007 What is -0.0000215 rounded to 6 dps? -0.000022 What is -270590 rounded to the nearest 1000? -271000 Round 0.168 to the nearest integer. 0 Round -0.0000052029 to six decimal places. -0.000005 What is 11705000 rounded to the nearest one million? 12000000 Round -0.00004901 to six decimal places. -0.000049 What is 19790900 rounded to the nearest one hundred thousand? 19800000 Round 61840 to the nearest 1000. 62000 What is 26200 rounded to the nearest one hundred thousand? 0 What is -0.00003396 rounded to six dps? -0.000034 What is 991000 rounded to the nearest 100000? 1000000 Round -10.02 to one decimal place. -10 What is 126528 rounded to the nearest ten thousand? 130000 Round -0.000001145 to six decimal places. -0.000001 Round -43.7 to the nearest one hundred. 0 Round 0.0000471 to 5 decimal places. 0.00005 Round -0.000017275 to six decimal places. -0.000017 Round -1268000 to the nearest 10000. -1270000 Round -2438600 to the nearest 100000. -2400000 Round 112791 to the nearest one hundred. 112800 What is -45218000 rounded to the nearest 100000? -45200000 What is 72240000 rounded to the nearest one million? 72000000 Round 35643000 to the nearest one million. 36000000 What is -0.000000156 rounded to 6 decimal places? 0 What is 279.25 rounded to the nearest one hundred? 300 Round -161910000 to the nearest one million. -162000000 What is 12.93 rounded to the nearest integer? 13 What is 13.079 rounded to the nearest integer? 13 What is 214.5 rounded to the nearest 10? 210 What is 6592 rounded to the nearest one thousand? 7000 What is 12370 rounded to the nearest 1000? 12000 What is 3734700 rounded to the nearest 10000? 3730000 Round -1.9311 to zero decimal places. -2 Round -88490 to the nearest 10000. -90000 What is -20570 rounded to the nearest ten thousand? -20000 Round 50266900 to the nearest one hundred thousand. 50300000 What is -8.165 rounded to zero dps? -8 What is -24.357 rounded to t
{ "pile_set_name": "DM Mathematics" }
. Is -3*2/14 - j/21 composite? False Let m be (-5 - -9) + (1 - -1). Suppose -2*j - 8 = -m*j. Suppose -5*g + 1585 = j*f + 3*f, -4*f = 3*g - 1270. Is f a prime number? False Let o = 168 - 88. Suppose 2*d = 1010 + o. Is d a prime number? False Let q(j) = 88*j + 13841. Is q(0) a prime number? True Is 40551/14*10/6*2 a composite number? True Suppose -4*d = -l - 3*l - 4, 4*d = 4. Let c(x) = -x**3 + 3. Let q be c(l). Suppose -4*b = -5*z + 831, 205 = q*z - 2*b - 292. Is z prime? True Suppose 0 = 11*j - 4487 - 7866. Is j a composite number? False Let w(i) = -2*i - 2. Let f be w(-3). Let q(d) = 27*d**3 - 3*d**2 + 7*d - 7. Let c be q(4). Suppose f*k - 3*l - c = -627, 2*k - 3*l = 540. Is k prime? False Let z(c) = 3 - 9*c - 4 + 60*c**2 - 16. Is z(-4) a prime number? False Let c(r) = r**3 + 6*r**2 - 10*r - 5. Let z be c(-6). Suppose w + 12 = -o + 4*w, 0 = -3*o + 4*w - 11. Suppose 2*t + k = o*k + 28, -4*t + z = -5*k. Is t prime? False Let t(q) = 313*q**2 + 13*q - 21. Is t(4) a prime number? True Let w be (-1 - 8/(-4)*-1)/(-1). Is (-6)/(-4) - w/(18/(-3237)) a prime number? True Let t(v) = -v**3 - 2*v**2 - 53*v - 57. Is t(-23) a composite number? True Let d be -50*((-2)/3 + (-16)/30). Suppose 572 = 2*c - 5*x - d, 3*c + 3*x - 990 = 0. Is c a composite number? True Let x = -689 + 1440. Is x a composite number? False Suppose t = 4*t. Let q(m) = -m**3 - m**2 + 67. Is q(t) a prime number? True Suppose 7840 = 14*a - 4242. Is a prime? True Let a be 3 + (1 + 0)/(-1). Suppose 523 = 4*h + o, -4*h + 265 = -a*h - 3*o. Is h composite? False Suppose 0 = -5*m + 1 + 54. Suppose 9*f - m*f = -502. Is f a prime number? True Suppose -2*v + 2197 = n + v, -5*v + 6599 = 3*n. Is n a prime number? True Let w be -1538*(5 - (-1 - -5)). Is (-75)/(-15) - (w + 0) composite? False Let b be (-128)/(-40)*(1 - -4). Let w be (-53)/(-11) + b/88. Suppose w*x - 1015 = 750. Is x a composite number? False Suppose 0 = y - 932 - 302. Let u = y + 43. Is u a prime number? True Let y = 54 + -291. Let p = y - -540. Is p a prime number? False Let m = 284 - 643. Let n = -673 - m. Is (n/(-3))/(4/6) composite? False Let d(g) = 898*g**2 + 1. Is d(-4) composite? False Suppose 4*s - 1452 - 768 = 0. Suppose 2*d + s = 7*d. Is d composite? True Let p(k) = -2*k**2 - 2*k + 2. Let q be p(-3). Let x = q - -10. Is x + 2/(8/4348) a prime number? True Suppose 0 = -3*i + 4*i + 18. Let o be 2 + (i/(-2))/(-3). Is (-1)/(o + (-26)/(-28)) a prime number? False Let g(l) = 9*l**3 + 4*l + 4. Let k be 3/(-60)*-4 - (-14)/5. Is g(k) composite? True Let k = 15769 - 4271. Is k prime? False Suppose 2*u - 1 = 5*p + 3*u, 5*u + 5 = -5*p. Let n(r) = 5*r + 2407. Is n(p) composite? True Let p = -2266 + 9553. Suppose 0*o = 7*o - p. Is o a composite number? True Let m be (-1 + (-4)/(-8))*-10. Suppose -u = 5*j + 4*u - 5, 2*j = -5*u + m. Suppose -2*k + 3*k - 85 = j. Is k composite? True Suppose -3*f + 1164 = 2*t, 0 = -f + t - 0*t + 388. Suppose 154 = 2*b - f. Is b a prime number? True Let x be 286448/(-80) + (-4)/10. Let d = x + 6586. Is d a composite number? True Let b = 6 + -2. Suppose -5*y = 2*j - 0*j - 112, -y = b*j - 206. Is j a prime number? False Let c(p) = -101*p - 30. Let h(u) = 11*u + 4. Let f be h(-1). Is c(f) composite? False Is ((-2892936)/(-60)*5)/2 composite? False Suppose -10 = -0*w - 5*w. Suppose 3 - 9 = -3*m. Is 211 - (w/m - 1) composite? False Suppose -648 = -a - v, -3 + 7 = -4*v. Suppose 10*s - 61 - a = 0. Is s composite? False Is 32434/((-60)/(-6) - 8) a composite number? False Suppose -21*b = -18*b - 9. Let d be (0 - -70) + 2/(-2). Suppose 4*t - b + 13 = 2*n, -t + d = 5*n. Is n a composite number? False Suppose -3*p = -3*u - 3, 2*u = -0*u. Let m(g) = g**3 - p - 42*g**2 - 9*g + 48*g**2 + 2*g**3. Is m(5) a prime number? True Suppose 2*l + 2*n - 542 = 0, -3*l + 1080 = l + 5*n. Suppose 0 = -p + 3*q + 431, 3*p - 2*q + l = 1540. Is p prime? True Let p = 4 - 8. Let t(r) = 7*r**2 + 9*r + 6. Let i be t(p). Is i/2 + 8/(-2) a composite number? False Let m(y) = 16*y**2. Let w be m(1). Suppose 15 = 3*q + 3*k, q + 3*q - w = -2*k. Suppose -q*u + 6*u = -2*o + 325, 0 = 2*u - 3*o - 221. Is u composite? False Suppose 3*m + 4411 = 4*m. Is m composite? True Is (-3)/((-18)/9614) - (-148)/222 a prime number? False Suppose 5664 = 5*a - 181. Is a composite? True Let l = -97 - -5876. Is l a prime number? True Suppose 8*f - 32848 = -8*f. Is f a prime number? True Suppose 3*r - 5*v + 1054 = 2*r, 0 = 4*r - 4*v + 4264. Let y = -620 - r. Is y composite? False Let q = -75 + 54. Let i(u) = 2*u**2 + 26*u - 29. Is i(q) a composite number? False Let i(m) = -7*m - 1. Let j be i(-1). Is (-426)/4*(-28)/j a prime number? False Suppose -10 = -4*r - 2*f, -5*r + 6 = f - 2. Suppose 4*b + r + 3 = 0. Is ((-33)/2)/(b/2) prime? False Let l be ((-4)/(-3))/((-6)/(-27)). Let g be (-588)/(-20) - l/15. Let a = 29 + g. Is a a composite number? True Let c = 6897 + 22469. Is c a composite number? True Let h(r) = -2*r - 15. Let w be h(-10). Suppose 636 = w*n - n. Is n composite? True Suppose -10909 = -3*v + 4*i, i - 1 = 4. Is v prime? True Is (-2)/15 + (-17202)/(-90) composite? False Let c(g) be the third derivative of -g**4/8 - g**3/3 - 4*g**2. Let q be c(-15). Is q + 2 - (-7 + 5) a prime number? True Let l = 1 - 1. Suppose 0 = c + 5*v + 17, l*c - v - 13 = -3*c. Suppose 200 + c = o. Is o a prime number? False Suppose b + 2*s - 4*s - 9 = 0, 0 = 3*b + 4*s - 7. Suppose -b*f + 117 = -2*f. Is -3 + 2 + f - 1 prime? True Let g be (-3)/(-1) + (4 - -18). Suppose 0*d = 5*d - g. Suppose -d*i + 1257 = -2*i. Is i prime? True Let d(u) = 84*u**2 + u. Suppose -5 = -3*c + 2*f, 25 = -3*c + 4*c + 4*f. Suppose s = -4 + c. Is d(s) composite? True Suppose -4*b = 13 - 121. Let d = b - -15. Let j = 73 - d. Is j prime? True Let z(a) = -a**3 - 4*a**2 + 6*a - 5. Let c be z(-5). Let x = c - -13. Is -3 - (1 - 44) - x prime? True Let b(j) = -j**3 + 6*j**2 + 8*j + 5. Let a be b(7). Suppose a = -4*k - 5*z, 0 = -7*z + 3*z - 16. Is (-4 - -3) + 190*k a composite number? False Let b = -2828 - -4251. Is b a composite number? False Suppose 17*g - 21*g + 16 = 0. Suppose g*o = -2*a + 418, o = 4*a + 4*o - 841. Is a composite? False Let f = -65 - -175. Let i(q) = f*q + 118*q - 5 - 53*q + 1. Is i(3) prime? True Is ((-12)/(-24))/(2/(-16)) - -2207 a composite number? False Let f(z) = -22*z + 153. Is f(-7) composite? False Let k = 11974 - -17469. Is k composite? False Let h be -2 + 2 + (-3)/3. Let t be 10 + h + -2 - -3. Suppose 2*f - 384 = -t. Is f prime? False Suppose -972 = -11*g + 6860. Suppose 3*r = -n + g, -2*n + 0*r + 1445 = -r. Is n composite? True Suppose 0 = 5*u - 9 - 56. Suppose u = -0*m - m. Is (-1)/((-2)/m)*-6 composite? True Suppose -2*w - 4*n = 0, w - 4*n = n. Suppose w = -2*f + 3566 + 540. Is f composite? False Let i be 8/(-60)*-5*6. Suppose 2*z = 5*g - 6389, -8*z = -3*g - i*z + 3839. Is g prime? True Let m(q) = 508*q**2 - 24*q - 53. Is m(-7) prime? False Let d(t) = 136*t**2 - 17*t - 56. Is d(-9) a composite number? False Let f(s) = -95*s**3 + 6*s**2 + 7*s + 2. Let b be f(-3). Let c be b/8 - (2 + 1). Let g = -159 + c. Is g a prime number? True Let m(n) = -2*n**2 + 2*n - 6. Let i be m(12). Let k = 721 + i. Is k a composite number? True Let m(j) = 63*j**2 - j - 11. Is m(-7) prime? True Let l(o) = 29*o**2 + 4*o - 132. Is l(-13) composite? True Let z = 9 - 3. Let r be (1 + 6)*z/21. Suppose -3*a + 42 = r*a - 4*s, -s - 28 = -3*a. Is a a composite number? True Suppose 0*n = 3*n - 54. Let p = n + -14. Is 23/p*(34 - 14) composite? True Suppose -2*v + 5*h = -4562, 2832 = v - 3*h + 553. Is v a composite number? True Suppose -5*j - 29581 - 25509 = -5*k, 3*k = -4*j + 33047. Is k composite? True Let j = -4767 - -10178. Is j composite? True Let i(m) = -m**2 + 17*m + 4. Let n be i(16). Let k be 4985/n + 12/16. Suppose 0 = -2*w + 2*c + 244, 4*c + k - 8 = 2*w. Is w composite? True Suppose 23*w - 713106 + 236017 = 0. Is w a composite number? False Let n be (-1)/6 - 102/36. Let z = 6 + n. Is z composite? False Let x(v) = -5*v + 2*v + 2*v + v**3 + 34 + 3*v**2. Is x(7) prime? False Let p(z) = 830*z + 55. Is p(26) a prime number? False Suppose 8 = -4*o + 6*o. Suppose -o*y = y - 5215. Is y a prime number? False Let w = 16 + -12. Let y = w + 27. Is y a prime number? True Suppose -9*c = -11*c. Suppose c = 2*y, -3*x = 2*y - 6*y - 1
{ "pile_set_name": "DM Mathematics" }
mmon divisor of y and m? 20 Let a(b) = 670*b + 2. Let m be a(1). Suppose -12*c + m = -4*c. What is the greatest common divisor of 21 and c? 21 Suppose -71400 = 27*s - 78*s. Calculate the greatest common factor of s and 56. 56 Let h(w) = w**3 - 15*w**2 - 33*w - 7. Let f be h(17). Let j = -6 - -26. What is the greatest common factor of j and f? 10 Let y(o) = 3*o - 6. Let j be y(7). Suppose -148 = -6*d - 88. Calculate the greatest common divisor of j and d. 5 Let a(z) = -z - 17. Let j be a(-20). What is the highest common divisor of 28 and j? 1 Let b be 4/(8/(-42))*(3 + -6). Suppose 0 = -s + 16 + 5. What is the greatest common factor of b and s? 21 Let i = 2 + -1. Let t be 13 - i/1 - 1. Let j = -25137 - -25258. Calculate the highest common divisor of t and j. 11 Let l be -5*((-45)/1)/5. Suppose -3*t - 2*t = -l. Let w(j) = -j**3 + 8*j**2 - 6*j. Let b be w(6). What is the greatest common divisor of b and t? 9 Let p be (16*11)/(3/6). Suppose -99 - 195 = -3*n. Let c = n + -66. Calculate the highest common factor of p and c. 32 Suppose -t - 222 = 3*j, -3*j + 5*j = -5*t - 1045. Let i be (-2)/(-4) - t/2. What is the highest common factor of i and 8? 8 Let j(v) = 24*v**2 + v + 1. Suppose -5*k - 16 = -5*o + 24, 3*o + 12 = -k. Let l = 8 + k. Let c be j(l). What is the highest common divisor of 48 and c? 24 Let y be 506/(-110) + (-3)/(-5) - 0. Let p = 2 + -4. Let z be 22 + y*(-3 - p). What is the greatest common factor of 182 and z? 26 Let z(x) = -17*x**3 - 3*x**2 - 4*x. Suppose 5*s = 3*s + 2*q, -q = -3*s - 4. Let n be z(s). Calculate the highest common factor of n and 12. 12 Let d be -1 + 9/5 - (-22)/10. Suppose 5*y = -4*k + 71, 2*k + 4*y = -k + 52. What is the greatest common divisor of k and d? 3 Let p(l) = 3*l**2 + l + 3. Let h be p(-3). What is the greatest common divisor of h and 153? 9 Let t(y) = y**2 + 6*y - 12. Let p be t(12). Let g(i) = 5*i - 3. Let d be g(3). Calculate the greatest common factor of d and p. 12 Let x = 104 - 77. Suppose l + 4*b = 4 - 7, l - 4 = 3*b. Suppose -4*n + 37 = l. What is the greatest common divisor of x and n? 9 Suppose 8*c = 3*c - 20, -2*a = -3*c - 68. Let z be -3 + ((-144)/(-1) - 1). What is the highest common divisor of z and a? 28 Let u(c) = 3*c**3 - 23*c**2 - 37*c + 20. Let j be u(9). What is the highest common factor of 22 and j? 11 Suppose 3*i = -4*m + 524, 14*i - 3*m + 888 = 19*i. What is the highest common divisor of i and 144? 36 Let a(d) = 5*d - 11. Let h be a(-5). Let l = 39 + h. Suppose q + 6 = 3*v, 0 = q + 2*q - 2*v - 17. Calculate the highest common divisor of l and q. 3 Let c be (-826)/(-35)*-1*-60. What is the highest common divisor of 24 and c? 24 Suppose 48 = -27*o + 31*o. Calculate the greatest common factor of 126 and o. 6 Let i = -30 - -42. Let m(y) = 2*y**2 - 8*y - 2. Let f be m(i). Suppose 19*t - f = 17*t. Calculate the highest common divisor of 19 and t. 19 Suppose 14*h = 19*h - 4*g - 207, 4*h - 159 = g. What is the greatest common factor of h and 1131? 39 Suppose 0 = 127*i - 136*i + 1449. Calculate the greatest common divisor of 437 and i. 23 Let f(y) = y**3 + y**2 - 5*y - 3. Let v be f(-2). Suppose 213 = -v*j + 6*j. Suppose -8*r - j + 775 = 0. What is the highest common divisor of 11 and r? 11 Suppose l - 1 = -5*c, c + 0*c + 19 = -5*l. Let i be 37/4 + c/(-4). Let v = -37 - -73. What is the greatest common factor of i and v? 9 Suppose -4*d + 5*r + 5 = d, 5 = -3*d - 5*r. Let g(c) = c + 159. Let j be g(d). Suppose -4*o + 93 + j = 0. Calculate the highest common divisor of o and 21. 21 Suppose -3*x - 5*q + 235 = 0, 4*q = -3*x + 77 + 159. Calculate the highest common divisor of x and 40. 40 Let j(z) = z**2 + 11*z + 15. Let r(c) = -c**2 + 7*c + 8. Let b be r(9). Let v be j(b). What is the greatest common factor of 20 and v? 5 Let u = 1532 - 1457. Calculate the greatest common divisor of u and 6. 3 Let f = 67 + -31. Suppose 6*y = 3*y + 90. Let t = y + -26. What is the highest common divisor of f and t? 4 Let c = -187 - -330. What is the highest common factor of c and 13? 13 Let x = 17 + -12. Suppose x*i + 2 + 3 = 5*t, t - 7 = -i. What is the highest common factor of i and 3? 3 Suppose 0 = 2*p + 3*f + 3 - 32, -5*p + 3*f + 62 = 0. Let r = 0 - 4. Let m be (-1)/((-2)/(-52))*r. What is the greatest common divisor of p and m? 13 Suppose -16*g = -25*g + 90. Calculate the highest common factor of 810 and g. 10 Suppose -506 - 2510 = -8*u. What is the highest common divisor of u and 13? 13 Let w be (-3 + (-21)/(-6))*4. Suppose 0*a = w*k + 2*a + 6, 2*k - 2*a = 14. Let l be 0/(0 + k) - -8. What is the highest common divisor of l and 8? 8 Let m = 395 - 187. What is the greatest common divisor of m and 48? 16 Suppose -26 = -6*x + 5*x. What is the greatest common divisor of x and 13? 13 Let o be 4/(-26) - (-164)/52. Let u be (-4 - (0 + 6)) + -4. Let a(b) = -2*b - 4. Let d be a(u). What is the highest common factor of o and d? 3 Suppose -3*r = 4*y - 2*r - 228, 2*r = 3*y - 160. Let s = 126 - y. Calculate the greatest common factor of s and 14. 14 Suppose -v = -4*r - 34, 3*r + 2*v + 6 + 14 = 0. Let s = -6 - r. What is the greatest common factor of 2 and s? 2 Let j(r) = -r**3 - 16*r**2 - 29*r + 1. Let l be j(-14). Calculate the greatest common factor of 195 and l. 15 Let w(l) = -77*l + 6. Let y be w(-1). Suppose -4*t + 2*t - 106 = 0. Let n = y + t. Calculate the highest common factor of 12 and n. 6 Let f = -58 - -52. Let k be (-814)/f - 4/6. Calculate the highest common divisor of k and 54. 27 Let p(b) = b + 1. Let g be p(4). Suppose -2*d + 35 = -g*f, 41 = -2*d + 4*d + f. What is the highest common factor of 220 and d? 20 Suppose -35*h = -42*h + 28. Suppose -4*d + h = -l, 7*l + 2*d - 38 = 3*l. What is the highest common factor of l and 8? 8 Let t be (-2)/15 - 5528/(-60). Suppose -t = -2*n - 2*n + 5*r, -3*r - 16 = -n. What is the highest common divisor of 112 and n? 28 Suppose 44*x - 5*x - 2145 = 0. What is the greatest common factor of 55 and x? 55 Let z(d) = 2*d - 9 + 15*d**2 - 14*d**2 + d + d. Let c = -10 + 3. Let y be z(c). What is the highest common divisor of 48 and y? 12 Let v(j) = -j**3 + 29*j**2 - 27*j + 48. Let h be v(28). Calculate the greatest common divisor of h and 4. 4 Let w be 101*(-3)/(-12)*4. Let r = -43 + w. Let a = r + 67. What is the highest common factor of 50 and a? 25 Suppose -5*m = 5*k - 135, m - 2*k = 15 + 27. What is the greatest common factor of m and 56? 8 Suppose m - 4*p = 1105, 7*m - 4476 = 3*m + 2*p. Calculate the highest common divisor of m and 118. 59 Suppose -3*i + 4*i - 543 = -5*m, 5*i - 447 = -4*m. Let r = -1453 + 1465. What is the greatest common factor of r and m? 12 Let i = -23 - -31. Let d be 7 - 7 - i/2. Let h be (-2 - -4)*(-18)/d. What is the greatest common divisor of 45 and h? 9 Suppose -9*u + 119 = -1411. Calculate the highest common factor of 30 and u. 10 Let q(z) = -z + 13. Let v be q(7). Suppose 5*f + 764 = -556. Let l be (-2 - 1/4)*f/9. Calculate the highest common factor of l and v. 6 Let y(d) = -d**3 + 19 - 7 - 2*d + 3*d. Let v be y(0). Suppose -47*a - 768 = -55*a. What is the greatest common divisor of a and v? 12 Suppose 0 = 19*c - 2645 - 1630. What is the highest common factor of 315 and c? 45 Let r(s) = -s**2 - 4*s + 1. Let w be r(-3). Let z(c) = 8*c - 1. Let t be z(w). Calculate the highest common factor of 217 and t. 31 Let d = 2869 + -1311. What is the highest common factor of d and 38? 38 Let h be 21 - ((-16)/(-4) + -6). Suppose -4*x + 0*x + 644 = 0. Calculate the highest common divisor of x and h. 23 Let k = -5 - -43. Let u = k - -74. Let n(x) = x**2 - 3*x + 4. Let o be n(5). Calculate the highest common factor of u and o. 14 Suppose -5*a + 20*a - 45 = 0. Calculate the highest common divisor of a and 6. 3 Let x(n) = 2*n + 22. Let a be x(-6). Suppose -a = -j + 3. Calculate the highest common divisor of j and 117. 13 Suppose -735 = 3*r - 8*r. Suppose -j + 53 = 5*c - 130, j - r = -4*c. Calculate the highest common factor of c and 12. 12 Let z(f) = f**2 + 7*f - 23. Let i be z(-10). Let x = -7 - -5. Let a(o) = -o**2 - 2*o + 1. Let b be a(x). Calculate the greatest common factor of i and b. 1 Let p = -879 + 893. What is the highest common factor of 1022 and p? 14 Let d = -135 + 232. Suppose 264 = 101*c - d*c. What is the highest common divisor of c and 165? 33 Le
{ "pile_set_name": "DM Mathematics" }
-5 + (sqrt(3) - -2*sqrt(3))*1 + -1 - (sqrt(45)/sqrt(12))/sqrt(5)*-3. -6 + 9*sqrt(3)/2 Simplify -2*(-1*sqrt(162) + 1 + (sqrt(162) - 4*(4 + sqrt(162) - sqrt(162))) + -5 + 3)**2. -578 Simplify (3*(sqrt(1872) + 1))**2*2*-3 - (-3 + sqrt(1872)*-1 + 2*-2*sqrt(1872))*-5. -101157 - 1596*sqrt(13) Simplify (-6*(sqrt(77) - (sqrt(77) + 3*sqrt(77))) + -1*sqrt(77)*5)/(sqrt(70)/(-2*sqrt(10)) - sqrt(112)/sqrt(4)). -26*sqrt(11)/5 Simplify (2*sqrt(176)*4 + 0 - (-2*((sqrt(176) - -1*sqrt(176)) + sqrt(176) - sqrt(176)) + sqrt(176) + 5))**2*2. -880*sqrt(11) + 42642 Simplify (-2 + sqrt(1088)*2*5 - ((2*sqrt(1088)*5)**2 + sqrt(1088) + ((sqrt(1088) - ((2*sqrt(1088) - sqrt(1088)) + sqrt(1088)))*1)**2)) + -1. -109891 + 72*sqrt(17) Simplify (0 + ((4 + sqrt(17))*-5 - (2 + sqrt(136)/sqrt(8)))*-1)**2 + -5. 264*sqrt(17) + 1091 Simplify 4 + -2 + ((sqrt(6) - (sqrt(6) - (sqrt(240)/sqrt(4))/sqrt(10)) - sqrt(6))/(sqrt(9)/sqrt(3)*1))**2 + 4. 6 Simplify -2 + (3*(sqrt(153)*1*5 + sqrt(153)))/(4*4*sqrt(9)*4) + 3. 1 + 9*sqrt(17)/32 Simplify (5 + (sqrt(3)*-1 + 1)*3 + (sqrt(243) - (4 + sqrt(243) + -1)) + -4)*2. -6*sqrt(3) + 2 Simplify ((sqrt(24)/(sqrt(8)*-1))**2 + (sqrt(3) - (sqrt(6)/sqrt(2) - sqrt(3))*4) - (2 + (sqrt(3) + 1 + -3 - (-2 + sqrt(3) + -1 + sqrt(3))**2)))*3. -36*sqrt(3) + 72 Simplify (((2*sqrt(108) + sqrt(108))/sqrt(6))/(1*2*sqrt(6)) + 4*4*(sqrt(243) + sqrt(243) + 6*(sqrt(243) + 0 + sqrt(243))))**2. 48843675/4 Simplify ((sqrt(8) + 1*sqrt(128) + (-2*sqrt(128) - sqrt(128)))/((sqrt(1944)*1 + sqrt(1944) + sqrt(1944))/(2*sqrt(24)))*5)**2. 39200/729 Simplify (4*(sqrt(117)*-2 + -2) + sqrt(130)/sqrt(90) + sqrt(208) + -5)**2. 1534*sqrt(13)/3 + 46774/9 Simplify -1 + (-5*(sqrt(612)*-2)**2*-6 - (2*sqrt(102)*-6 + sqrt(102))/(sqrt(6) + -4*sqrt(12)/sqrt(2))). -11*sqrt(17)/3 + 73439 Simplify ((sqrt(60)/(sqrt(10) + -2*sqrt(10)) - sqrt(36)/(-1*sqrt(6)))/((sqrt(108) + -2*sqrt(108))*-1)*4)**2. 0 Simplify (-5*(1 + 4*((4*3*sqrt(832) - sqrt(832)) + (1 + sqrt(832) + -3 - sqrt(832)))))**2. -123200*sqrt(13) + 40270025 Simplify ((-4 + -6*3*1*sqrt(1216) + (2 + sqrt(1216) + -3 - ((sqrt(1216) - (2 + sqrt(1216) + 2)) + sqrt(1216))))*1)**2. 288*sqrt(19) + 393985 Simplify (-3 + (sqrt(931) - sqrt(931)*3) + 1*sqrt(931)*4 - ((-3*sqrt(931) - sqrt(931))*5 - (sqrt(931) + sqrt(931) + -3 + -4)))**2. -3360*sqrt(19) + 536356 Simplify 5*(((sqrt(1200) - ((sqrt(1200) - (sqrt(1200) + 0)) + 5)) + sqrt(1200))*-5 - (-2 + -1 + sqrt(1200) + -2))**2. -66000*sqrt(3) + 730500 Simplify 6*(5 + ((sqrt(114) - sqrt(114)*-2)*-6 + sqrt(114))/(sqrt(432)/sqrt(8)) + ((sqrt(133)*-2 - sqrt(133))*-4)/(-6*sqrt(7)*-1)). -22*sqrt(19) + 30 Simplify (2*sqrt(3024) + sqrt(21)*1*3)/((-6*sqrt(3)*2 - sqrt(15)/(sqrt(10)/sqrt(2)))*-3). 9*sqrt(7)/13 Simplify (-5*(1 + sqrt(612) + 5))**2 + -2*(0 + 1*sqrt(612)) + -4. 1788*sqrt(17) + 16196 Simplify 2 + ((-6*((sqrt(65) - (sqrt(65) + -4*sqrt(65)*-1)) + -2*(sqrt(65) + -1*sqrt(65))))/(2*(sqrt(5) - 3*sqrt(5)) + sqrt(20)/(sqrt(4)*2)))**2. 30050/49 Simplify ((2*(-2*sqrt(304) - sqrt(304)) + -5)*1 + (-1 + sqrt(304))*3 + 2 + sqrt(304)*-1 + -3)*6. -96*sqrt(19) - 54 Simplify -4*(sqrt(90)/(-1*(sqrt(6) - -2*sqrt(6))))/(sqrt(9)/((sqrt(27)/sqrt(3))/sqrt(3)))*-2. -8*sqrt(5)/3 Simplify (1 + 1*((2*sqrt(18)*6)/sqrt(6) - (sqrt(3) + 1 + sqrt(363) + sqrt(9)/sqrt(3) + 1))*6)**2. 132*sqrt(3) + 229 Simplify 3*-3*-4*((2 + sqrt(245)*2)**2 + (sqrt(245)*2 + sqrt(245))**2 + -2) + 5. 2016*sqrt(5) + 114737 Simplify (3*((6*(sqrt(931) + 1) + -3 + sqrt(931)*-2)*-3 - (-1 + ((sqrt(931) - sqrt(931)*-1)*2 + sqrt(931) - (2 + sqrt(931) + sqrt(931) + -2*sqrt(931))))))**2. 12852*sqrt(19) + 2421855 Simplify 6*-1*(sqrt(432) + 1 + 2)**2 - (1 + (sqrt(1089)*2 - sqrt(1089) - sqrt(1089))/(-3*sqrt(3)*1)). -2647 - 432*sqrt(3) Simplify (4*6*(sqrt(95) - -1*3*sqrt(95)))/(-4*(sqrt(180) - ((sqrt(180) - (sqrt(180) - sqrt(180)*1)*-3) + sqrt(180)))). 4*sqrt(19) Simplify (sqrt(154)/(sqrt(7)*-3) + -2*sqrt(22)*4)/(5*((sqrt(704) - sqrt(11)) + 2*sqrt(11)*5)). -5*sqrt(2)/51 Simplify 2*(-2*(1 + (5 + 2*sqrt(700) - (-4 + (sqrt(700) + 0 - sqrt(700)))))*-4)**2. 51200*sqrt(7) + 371200 Simplify -1*(-6*(5 + sqrt(28) + 2) + 0 + sqrt(2268) + sqrt(280)/(sqrt(40) - sqrt(10))). -8*sqrt(7) + 42 Simplify (sqrt(78)/(sqrt(2)*-1))/(sqrt(3) - sqrt(12)/sqrt(4)*-2) + -3*((-2 + sqrt(468)*-2)**2 - sqrt(468)). -5628 - 379*sqrt(13)/3 Simplify ((1*5*(sqrt(1872) + -4 + 1 + 1)*4)**2 + 1)*3. -57600*sqrt(13) + 2251203 Simplify (1*(2*sqrt(1872) + -4)*2)**2 - 4*(-3*(sqrt(143) + sqrt(143)*1))/(sqrt(88)/(2*sqrt(8))). -720*sqrt(13) + 30016 Simplify -1*((((0 + sqrt(891) + 5)*1)**2 - (sqrt(891) + ((sqrt(891) + 1 + sqrt(891) - sqrt(891)) + -2)**2 + -3))*-2 + -4). 58 + 198*sqrt(11) Simplify (sqrt(95)*2*-2)/(sqrt(20)*1) - (5 + (sqrt(1539) - ((sqrt(1539) + -2*sqrt(1539))**2 + 0))). -11*sqrt(19) + 1534 Simplify ((sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95) + (sqrt(95) + sqrt(95)*-2 - sqrt(95))*-2 + sqrt(95)*2*-4)*1)/(4*(-1*sqrt(320) - sqrt(320))*-1). 0 Simplify (1 + 0 + (sqrt(4860) + -2*sqrt(4860) + sqrt(4860) + 1*sqrt(960))/((sqrt(12) - -2*sqrt(48)) + sqrt(588)*-1 + sqrt(588)) + 3)**2. 32*sqrt(5)/5 + 96/5 Simplify -2*-4*((sqrt(567) + (sqrt(567) + sqrt(567) + -4)**2 - sqrt(567)) + -3 - (-3*-4*sqrt(567))**2) + 2. -634934 - 1152*sqrt(7) Simplify sqrt(144)/sqrt(3) + -3 + sqrt(528)/sqrt(176) + sqrt(48) + -5 - 1*-1*sqrt(192)/sqrt(4)*-2. -8 + sqrt(3) Simplify (2 + ((sqrt(612) - sqrt(612)*1) + sqrt(612))*1 + -1 - (4 + 1*sqrt(612) + -5 + 0))**2. 4 Simplify (5*sqrt(637))**2 + sqrt(117)/sqrt(900) + 4*(sqrt(13) + -1*sqrt(1573) + sqrt(13) + -3*sqrt(13)*-2)**2. sqrt(13)/10 + 16393 Simplify ((sqrt(60)/(1*(sqrt(9)/sqrt(3) + sqrt(3)) - sqrt(3)) - (-2 + (sqrt(5) + -5*sqrt(10)/sqrt(2) - sqrt(10)/sqrt(8)))) + 0)**2. 26*sqrt(5) + 861/4 Simplify (-4 + 4 + (sqrt(147) + sqrt(147)*-2 - sqrt(147)) + -3 + 1*(2 + sqrt(3))*-3)**2 + -4. 306*sqrt(3) + 944 Simplify ((-2*sqrt(68) + -1 + sqrt(68)*1*-3)**2 + (-4 + sqrt(68) + sqrt(68) + -1 + sqrt(68))*-3)*-5 + 5. -8575 - 10*sqrt(17) Simplify (-3*((sqrt(108)/(sqrt(150) + sqrt(6))*-2)/(sqrt(18)/sqrt(32) + sqrt(729)*-1) + 1))**2. 24*sqrt(2)/35 + 11057/1225 Simplify ((sqrt(84)/(sqrt(12) + sqrt(12)*-3) + -5)*-5 + 5*(sqrt(567) + 0)*5)**2. 11375*sqrt(7) + 1451675/4 Simplify -3 + (-4*-4*(sqrt(242) + (sqrt(242) - 1*sqrt(242))*3)*-2)**2. 247805 Simplify 4*(-3 + (sqrt(68)/sqrt(4))**2 - (0 + sqrt(1700) - sqrt(1700))**2) + -2 - ((sqrt(2448) + 5*2*sqrt(2448))*6*-1)**2. -10663434 Simplify ((-4*sqrt(1782) + sqrt(88)*3)/(-6*(sqrt(242)*-1 + sqrt(242) - sqrt(24)/(sqrt(192) + sqrt(12)))))**2. 6875 Simplify -5*(sqrt(539) + sqrt(539) + ((-2 + sqrt(539) + sqrt(539))*-6 + sqrt(539))**2 + (-1 + sqrt(44) + -3)**2 + -4) + -3. -327098 + 9250*sqrt(11) Simplify -1*(sqrt(2187) + -2*sqrt(2187))/sqrt(9) + (sqrt(243)*-3 + 3 + -2)**2. -45*sqrt(3) + 2188 Simplify 2*((1*sqrt(3146) + sqrt(3146) - sqrt(3146)) + sqrt(3146))/sqrt(512)*-6*2. -33*sqrt(13) Simplify -2*(4 + ((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*2))*-1 - sqrt(156)))*2)/(-2*sqrt(1728) - sqrt(24)/sqrt(32))). -8 + 48*sqrt(13)/97 Simplify ((2*sqrt(204)*-3)/(-1*sqrt(108)))**2 + (2 + sqrt(612)*-2 + 1*(sqrt(612) + sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + 1))))**2 + 5. 12*sqrt(17) + 686 Simplify (sqrt(91) + 3*sqrt(91) + sqrt(91))/sqrt(7) + sqrt(13) - sqrt(13)*2*-6 - (-3 + (sqrt(104)/(1*sqrt(8)) - -2*sqrt(468))**2). -2194 + 18*sqrt(13) Simplify -6*(-5 + (-6*(sqrt(190)*-1 - sqrt(190))*4)/(-2*(-1*sqrt(250) - sqrt(250))) + 4)**2. -16566/25 + 144*sqrt(19)/5 Simplify (2*((sqrt(65) - -2*sqrt(65)) + sqrt(65)) + (sqrt(65) + -1*sqrt(65))*5)/(5*(sqrt(5) + sqrt(500)*-5)). -8*sqrt(13)/245 Simplify (4*(2*sqrt(325) + sqrt(325)) + sqrt(325) + -2 + 1)**2 + (sqrt(1872) + 0 - (sqrt(156) - sqrt(156)*2)/sqrt(12)). -117*sqrt(13) + 54926 Simplify 1 + ((6*sqrt(4617)*2)/((sqrt(3) - sqrt(9)/sqrt(3) - sqrt(3))*-2 - (sqrt(3) - sqrt(3)*1)*-2) + 2)**2. 216*sqrt(19) + 55409 Simplify sqrt(40)/((2*sqrt(8) - sqrt(8))*-5) + -1 + (sqrt(20)/(sqrt(4) + sqrt(4)*1*6) + -4)**2. -47*sqrt(5)/35 + 740/49 Simplify (((-2*sqrt(243))**2 + sqrt(243))*-2*-3 - (2 + sqrt(12) + (sqrt(12)/sqrt(4) + -5)**2 + 0))*5. 310*sqrt(3) + 29010 Simplify -2*(0 + sqrt(13)) - (-3 + (1 + sqrt(13))**2) - 2*(-2 + sqrt(13) + -1) - (-1*sqrt(52)/(sqrt(16)/sqrt(4)) + 0 + sqrt(208) + -5). -9*sqrt(13) Simplify (sqrt(931) + 4 +
{ "pile_set_name": "DM Mathematics" }
sitive. g**(32/15) Simplify (t**(-1/3))**(8/9)/(t**4*t/t**(1/4)*t) assuming t is positive. t**(-653/108) Simplify (t**(3/4))**(-12)/((t/(t**(-4/7)/t))/(((t**(-10)*t)/t)/t)) assuming t is positive. t**(-158/7) Simplify ((g**(-5))**(-3/49))**16 assuming g is positive. g**(240/49) Simplify (i*i*(i*i*i*i*(i*i**(-13))/i*i)/i)**(-17/6)*i**1*i*i**4/i assuming i is positive. i**(149/6) Simplify ((s**(2/75))**(-25))**(-39) assuming s is positive. s**26 Simplify i**(4/9)/(i/i**4)*i**(2/5)*i*i*(i/i**4)/i assuming i is positive. i**(83/45) Simplify (j/(j**(7/3)/j))**(-16)*j**20*j**(14/5) assuming j is positive. j**(422/15) Simplify ((v*v/(v/v**(-11))*v)/(((v/(v/(v/(v*v**(-11)*v))*v)*v*v)/v)/v)*v**(-3)*v**10/v)**(13/5) assuming v is positive. v**(-156/5) Simplify ((v**1)**24*v/v**(-6)*v**(-7))**20 assuming v is positive. v**480 Simplify ((n**(16/9)/n)/n)/((n*n**(-14))/n)*(n**(2/13))**(-13) assuming n is positive. n**(106/9) Simplify ((o**(1/3)/o*o*o**(1/4)*o*o)/(o/((o/o**(-2/5))/o))**(-2))**(-18) assuming o is positive. o**(-681/10) Simplify a**(1/4)/a*a*a**(-3/4)/a*a**(-1)/(a/a**5) assuming a is positive. a**(3/2) Simplify a/a**(1/2)*a/(a**(-3/8)/a)*a**(-10)/a*a*a*(a*a**(8/7)*a*a)/a assuming a is positive. a**(-167/56) Simplify (q**30/(q*(q*q/(q/(q/(q*q*(q*q**(-24)*q)/q*q))))/q))**(-7/12) assuming q is positive. q**(-14/3) Simplify (t**(-5)/t**(-2))**16 assuming t is positive. t**(-48) Simplify (z**(-2/19)/z)/((z*z/z**0)/z)*z*z*z**0*z*(z/(z/z**10*z))/z*z*z assuming z is positive. z**(207/19) Simplify ((b*b**9)/(b*b/(b**(-20)/b)))/((b*b/((b**(-4/3)*b)/b)*b*b)/b*b*b**(-2)) assuming b is positive. b**(-49/3) Simplify p**8*p**(-2/11)*p*(p/(p*p/(((p*p**(2/5))/p*p)/p*p)))/(p*p*p**(-10)*p) assuming p is positive. p**(892/55) Simplify w**(-8/7)*w*w/(w/w**7)*(w**(-4)*w)/w*w*w*w*w*((w*w*w/(w*w**(-11)*w))/w)/w assuming w is positive. w**(118/7) Simplify ((f**10*f/f**(-8))/((f**(-7/6)*f)/(f*f*f/(f/f**(2/7)))))**(-14/3) assuming f is positive. f**(-901/9) Simplify (((j*j/(j*j**(-25)*j))/j)/j)/j*j*j*j*j**12*j**(-2/3)/(j/j**(-3/17)) assuming j is positive. j**(1793/51) Simplify ((i**(1/3)/(i*i**0/i*i))**(-10/13))**(-31) assuming i is positive. i**(-620/39) Simplify (d**(-2/11)*d)/d**(-14)*(d**(-2))**(-47) assuming d is positive. d**(1197/11) Simplify (p/((p**(-3/8)/p*p*p)/p*p*p*p)*p)**(-1/3)/(p**(-1/24)*p/((p*(p*p*p**24/p)/p*p*p*p)/p)) assuming p is positive. p**(105/4) Simplify (t/t**(2/21)*t/(t*t**(-1/2))*(t*t**(1/2)/t*t)**45)**(-6/7) assuming t is positive. t**(-2894/49) Simplify (d*d**11)/d*d**(-18)*d**(1/5)*d**(27/5) assuming d is positive. d**(-7/5) Simplify (d**(-1/2))**(-1)/(((d/d**(1/30)*d)/d)/(d**13/d)) assuming d is positive. d**(173/15) Simplify ((c*c**(-1/4)/c)/((c/(c**(13/6)*c))/c))**(3/46) assuming c is positive. c**(35/184) Simplify ((((n*n/(n/(((n/n**(-1/18))/n*n)/n)))/n*n)/n**(3/2))**(11/6))**(-46) assuming n is positive. n**(1012/27) Simplify i**(8/9)/(i**(2/53)*i*i)*((i/i**(-6))/i*i)/(i*i**(18/11)) assuming i is positive. i**(16868/5247) Simplify ((((a**(-7)/a)/a)/a**(6/7))**(3/5))**(-2/69) assuming a is positive. a**(6/35) Simplify (u*(u*u*u*u**(11/3)/u*u*u)/u)/((u/(u/u**(-14/3))*u*u)/u)*u**(2/25)/u**(5/4) assuming u is positive. u**(3049/300) Simplify i**(-25)/i**(-17)*(i**(-6/11))**(4/11) assuming i is positive. i**(-992/121) Simplify ((m*m**(-10/9))/(m**2/m))/((((m*m**(1/21)*m)/m)/m*m*m)/(m**11/m*m)) assuming m is positive. m**(494/63) Simplify q**(-4/3)/q**(-15)*q**(-14)*q**(-2/27)*q assuming q is positive. q**(16/27) Simplify (((q**(-2/33)/q*q)/q)/q*q*q**(-7/4))/(q**(-1/9))**(3/20) assuming q is positive. q**(-461/165) Simplify ((h*(h**(1/4)*h)/h*h)/h)**(-6/13)/(h*h*h/(h/(h*h/(h*h**(-6)*h*h*h))*h)*h*(h/h**(1/6))/h) assuming h is positive. h**(-250/39) Simplify (i*i**16*i*i*i*i**29)/(i*i**11*i*i)**(-8/7) assuming i is positive. i**65 Simplify (((d/d**(-1/2))/d**(-2))/(d/d**2)**(-48))**(23/2) assuming d is positive. d**(-2047/4) Simplify (a/(a/(a/a**(-1/34)*a))*a**(-13)*a)/(a**(6/5)*a*a**(-4/23)) assuming a is positive. a**(-46907/3910) Simplify (y/(y**2*y)*y)**46*(y**0)**24 assuming y is positive. y**(-46) Simplify (f*(f/(f/(f*f/(f**(-6/7)*f)*f*f)))/f)/f*f**(10/3)*f**(-5/7)/((f*f*f**(1/32)*f)/f*f) assuming f is positive. f**(1643/672) Simplify (j/(j**(3/5)/j)*j)**(-1/8)*j/(j*j**(2/19)/j*j)*j*(((j/((j*j**(1/13))/j))/j)/j)/j assuming j is positive. j**(-3661/2470) Simplify (((z**(-3/2)/z)/z)**(-24))**(-22) assuming z is positive. z**(-1848) Simplify ((n**(5/6)/n*n*n)/(n/(n*n/n**(-5)*n))*(n/(n*n**(-2/5)))**(-24/7))**(4/3) assuming n is positive. n**(3134/315) Simplify (r**7/((r**(-23)/r)/r))**(1/74) assuming r is positive. r**(16/37) Simplify ((c/(c/(c*c/c**(-1/2))))**(2/39)*c*(c*c/c**0)/c*(c**7*c)/c)**(4/3) assuming c is positive. c**(1424/117) Simplify q**(-16)*q/((q*(q*q**4/q)/q)/q)*q*q*q/(q*q**(-3/10))*q*q**(-10) assuming q is positive. q**(-247/10) Simplify (((z**1/z)/(z/(z*z*z**4)*z))**(-3/11))**(-21) assuming z is positive. z**(252/11) Simplify (y*y**4)**(7/11)/(y*y**(1/7)*y*y**(-6/7)*y) assuming y is positive. y**(69/77) Simplify (((f**(1/2)/f*f)/f*f)**(-2/5)*f**(-1/6)*f**11*f)**(-1) assuming f is positive. f**(-349/30) Simplify (b**(-33)/b**(-13))/(b**(6/11)*b**(24/11)) assuming b is positive. b**(-250/11) Simplify r/r**(-3/10)*r*r**3*(r*r*r*r**(-1/3))/r*r**(3/5) assuming r is positive. r**(227/30) Simplify ((o*o/(o*o/((o*o**(2/23)*o)/o))*o)**14)**(2/9) assuming o is positive. o**(448/69) Simplify (s**(-4/7)*s**(-15/2))**(7/2) assuming s is positive. s**(-113/4) Simplify ((m**(2/13)/m)/m)/m**(3/7)*(((m/(m**(1/4)/m))/m)/m*m)**(-21) assuming m is positive. m**(-6561/364) Simplify m**(-1/37)/(m**(-1)*m)*m**(2/49)*(m*(m*m**(3/11)*m)/m)/m assuming m is positive. m**(25657/19943) Simplify ((n**2)**39*n**(-13)/(n**4*n))**(-4) assuming n is positive. n**(-240) Simplify (((a*a*a*a**2/a)**(2/79))**(-19))**40 assuming a is positive. a**(-6080/79) Simplify u*u*u*u**(4/11)*u/(u*u/(u/(u/u**(-2/25))))*(u/u**6)**(-41) assuming u is positive. u**(57003/275) Simplify (y*y/((y*((y**(2/3)/y)/y)/y)/y))**(-4/5)*y**(-5)*y**(1/16) assuming y is positive. y**(-2017/240) Simplify (i**13/i**(-10/7))/(i/(i/i**(4/5)))**36 assuming i is positive. i**(-503/35) Simplify ((a*a*a**(-10)*a)/(a/(a*a**(-11)*a)))/(a**(1/18)*a**(-2)) assuming a is positive. a**(-271/18) Simplify (r/(r**(-4)/r*r))/r*r*r**(-9)*r**0/(((r*r**(-1/18))/r*r)/r) assuming r is positive. r**(-71/18) Simplify w**(-1/8)*(w**(-2/11)/w)/w*w*(w/w**(2/5))/w*w*w*w**(-6) assuming w is positive. w**(-2511/440) Simplify (z*z*z**2/z)**36*(z/(z/(z**(-3)*z*z)))/z**(7/4) assuming z is positive. z**(421/4) Simplify (t/(t*t**(-4)*t*t))**0*t/(t**(-1)*t)*t*t*t/(t/t**(2/7))*t*t assuming t is positive. t**(37/7) Simplify (((u/u**(-9))/u)/(u/(u**(-1/8)/u*u)*u))/(u**(-2/15)*u/(u/((u*u/u**(1/22)*u)/u))) assuming u is positive. u**(6671/1320) Simplify (k**(-2/19)*k*k**9)/(k**12/k**(-12)) assuming k is positive. k**(-268/19) Simplify (l**(-1/2))**(-30)*l**(-18)*l*l**(1/3) assuming l is positive. l**(-5/3) Simplify d**7/d*d*d*d**(-10)/d*d*((d**(1/5)*d)/d*d)**(-26) assuming d is positive. d**(-166/5) Simplify (v**(-1/8))**(-7/13)*(v**(-1/2))**(-46) assuming v is positive. v**(2399/104) Simplify ((j*j*(j*j*j*j**(-4/3)/j*j*j)/j*j)/(j**(-6/7)/j)*(j**(2/5)/j)**(4/9))**20 assuming j is positive. j**(876/7) Simplify o**(2/35)/o**(-1/5)*(o/((o**5*o)/o))**(-10/3) assuming o is positive. o**(1427/105) Simplify p**7*p*p**14*(p**1/p)**(-2/29) assuming p is positive. p**22 Simplify (r**27*r*r/(r**(-3/2)*r))/(r**(-15))**(-28) assuming r is positive. r**(-781/2) Simplify (((w/w**0*w)**(15/7))**(-1/27))**29 assuming w is positive. w**(-290/63) Simplify (o**(-2))**21/(o**(-1/14)/o**5) assuming o is positive. o**(-517/14) Simplify (((((v/(v/(v*(v**(-4/3)/v)/v)))/v)/v)/v)/(v/(v*v*v**23)))**(6/7) assuming v is positive. v**16 Simplify (r**(-2/11))**(1/6)*(r**1)**(-10) assuming r is positive. r**(-331/33) Simplify b**(-3/2)/(b*b**(-3))*(b/b**(-2/33))/(b*(b*b*b/(b/b**(5/6)))/b) assuming b is positive. b**(-14/11) Simplify (y/y**(2/11))/(y/(y/y**(-13)))*((y/(y*y*y*y**2*y))/y)**46 assuming y is positive. y**(-2884/11) Simplify ((y*y/(y/(y*y*y**(2/13))))/y*y/(y*y*y/y**12*y*y*y))/(y/y**(2/11))**(1/37) assuming y is positive. y**(48316/5291) Simplify
{ "pile_set_name": "DM Mathematics" }
. -14405 - 240*sqrt(5) Simplify 1*((sqrt(1539) + -1)*6 + 5) + (5*sqrt(76) - (2 + sqrt(19) + 2 + sqrt(19)))*3. -13 + 78*sqrt(19) Simplify (5*(sqrt(132) + (-6*(sqrt(132) + sqrt(132) + (sqrt(132) - (sqrt(132)*-1 - sqrt(132)))) - sqrt(132)) - -2*sqrt(132)*-5))/(-4*(sqrt(2352)*2 - sqrt(48))). 25*sqrt(11)/13 Simplify ((2*(4*(sqrt(42)/sqrt(3) + sqrt(14)))/sqrt(7) + 4 + (-4*sqrt(162) + 3 - sqrt(162)))*4)**2. -6496*sqrt(2) + 27696 Simplify 3*((sqrt(133) - (sqrt(133) + sqrt(133)*-1)*5 - sqrt(133))*3)/(((sqrt(56) + sqrt(56)*4 + sqrt(56))/sqrt(2))/sqrt(4)). 0 Simplify -5*(3 + sqrt(55)/(sqrt(11) + (sqrt(132)/sqrt(3))/sqrt(4)) + (sqrt(300)/(2*sqrt(5)))/(sqrt(588) + sqrt(588)*1)). -15 - 75*sqrt(5)/28 Simplify ((((0 + sqrt(125))*-1 - (sqrt(125) - (sqrt(125) + -5 + -1 + sqrt(125) + sqrt(125)))) + sqrt(125) + -1 + 5 + sqrt(125)*3 + 2)*3)**2. 28125 Simplify 0 + (-2 + sqrt(75))*-2 + 6*((-5*-1*sqrt(15))/sqrt(5))**2 + 4. -10*sqrt(3) + 458 Simplify -4 + -6*(sqrt(98)/(-6*1*sqrt(7)))/(sqrt(28)/sqrt(4)*-2 - (-2*sqrt(700) + sqrt(7))). -4 + sqrt(2)/17 Simplify ((-3*(2*(sqrt(1694) + sqrt(1694)*-2) + sqrt(1694)))/((2*sqrt(7)*-5 + (sqrt(168)/sqrt(3))/sqrt(8))*3))**2. 242/81 Simplify (((2*sqrt(99) + sqrt(99))/sqrt(3) - 2*sqrt(825))/(sqrt(363)*3 + (sqrt(12) - sqrt(48))/sqrt(4)))**2. 539/1024 Simplify (2 + (sqrt(96) - sqrt(96)*2 - sqrt(192)/(1*sqrt(8)))/(sqrt(84)/(6*(sqrt(7) + sqrt(21)/sqrt(3)))))**2. -144*sqrt(2) + 2596 Simplify (1 + sqrt(6)/sqrt(98) + 4)**2 + ((sqrt(144)*-2 + sqrt(144))/sqrt(6))/(sqrt(32)/(sqrt(8)/sqrt(2))). 3*sqrt(3)/7 + 1228/49 Simplify -3*-1*(0 + -4 + -2*sqrt(1620) + 0)**2. 864*sqrt(5) + 19488 Simplify (-2*1*(sqrt(65) + -2*sqrt(65))*6)/(2*((sqrt(75)*2 + sqrt(75))/sqrt(5) - sqrt(15))/sqrt(3)). 3*sqrt(13) Simplify ((-2 + 3 + (sqrt(1100) + 0)*6 + -4)*-3*-5)**2. -81000*sqrt(11) + 8912025 Simplify ((-2*(-1*sqrt(187)*-2 - sqrt(187)))/(sqrt(1331)*-3*-2) + 4)*-1. -4 + sqrt(17)/33 Simplify (-2*sqrt(1296) - sqrt(1296) - (sqrt(400) + (sqrt(400)*3 - sqrt(400))))/(sqrt(88)/sqrt(99) - sqrt(64)/(sqrt(24)/sqrt(3)))*-4. -252*sqrt(2) Simplify ((-1*(sqrt(14) + sqrt(42)/sqrt(3)))/(sqrt(8) - -3*sqrt(8)) + (5*sqrt(7)*-5 - sqrt(63)/(sqrt(9)*2)))*-3. 309*sqrt(7)/4 Simplify (sqrt(187)*2*2 + sqrt(187) + 2*sqrt(187)*2)/(-1*(sqrt(704)*-2 - sqrt(704))). 3*sqrt(17)/8 Simplify -4*(-2 + 5 + ((sqrt(605)*-2 + -1)**2 + (sqrt(605) - (sqrt(605) + 0)**2) + -2 - -4*((sqrt(605) + -2*sqrt(605))*-2)**2)). -45988 - 220*sqrt(5) Simplify 1*(5 + 4*(-5 + (((sqrt(68) + sqrt(68)*2)*2)**2 - sqrt(68)) - (-1 + sqrt(68) + -1 - (sqrt(68) + 0)*-1)) + -2). -24*sqrt(17) + 9783 Simplify 3*(5*3*(sqrt(85) + (sqrt(85) - (sqrt(85)*1 - sqrt(85))) + sqrt(85)))/(sqrt(60)/(((sqrt(132)*4 - sqrt(132)) + sqrt(132))/sqrt(11))). 540*sqrt(17) Simplify (6*(1 + (6*(6*(sqrt(34) - sqrt(34)*1) + sqrt(34)))/(6*sqrt(6)/sqrt(27))))**2. 216*sqrt(17) + 5544 Simplify (sqrt(77)/(sqrt(56)/(sqrt(32)/sqrt(4))) - (5*(sqrt(11) - sqrt(22)/sqrt(2))*-4)**2) + (-2*(sqrt(891) + 0 + sqrt(891) + 0 + 5))**2. 721*sqrt(11) + 14356 Simplify 4 + (-4*(-6*-5*sqrt(77)*3)/(-4*sqrt(7)*2 + (sqrt(56)/sqrt(2))/sqrt(4)))**2. 1425796/49 Simplify (4 + 5 + (1*sqrt(539)*-6 - (1 + (sqrt(539) - sqrt(539)*-2)) - (1*sqrt(539)*2 - (-1 + sqrt(539))*2)))**2 + 4. -756*sqrt(11) + 43699 Simplify (5*-1*sqrt(108)*-2)/(4*(sqrt(900) + 4*sqrt(900)*-1)). -sqrt(3)/6 Simplify (-3*sqrt(66)/((3*sqrt(99))/sqrt(9)))/((sqrt(1400)/sqrt(4))/(sqrt(847)*-1)). 11*sqrt(3)/5 Simplify (-5 + (sqrt(136)/(sqrt(24)/sqrt(3)) + (3 + sqrt(833))**2 + 4)*1)*-2. -1682 - 86*sqrt(17) Simplify 4*(((sqrt(68) + sqrt(68) + 1)*-1)**2 + 5 + sqrt(68)*-1 - (-1*sqrt(68) + 5 + ((sqrt(68) + 2)*1)**2)). 804 Simplify -1 + (sqrt(847) + -4*sqrt(847) + 2)**2 - (-1 + (1 + sqrt(7) + 0 - (sqrt(7) + -2 + -4))). -132*sqrt(7) + 7620 Simplify 2*(-5*(3 + sqrt(75) + 1 - -3*(-1 + sqrt(75) - sqrt(75)))**2 - (-1 + sqrt(75) + 1 + 0 + 0)**2). -910 - 100*sqrt(3) Simplify (-5*-1*sqrt(136)*5)/(-6*(sqrt(800) + (sqrt(800) - sqrt(800)*3 - sqrt(800)))). 5*sqrt(17)/24 Simplify 5 + 1 + (sqrt(280) - (3*(sqrt(280) - -6*sqrt(280)) - sqrt(280) - sqrt(280)))/(sqrt(10) + sqrt(4840) - sqrt(10)). -18*sqrt(7)/11 + 6 Simplify (-1*(sqrt(40)/((sqrt(96) - (sqrt(96) + sqrt(96)*-1))/sqrt(12) + sqrt(8)) - sqrt(55)/(sqrt(44)/sqrt(4)*4)) + 4)*-5. -20 + 5*sqrt(5)/4 Simplify 5*(((sqrt(363)/(-2*sqrt(11)) - (2*sqrt(2673) + sqrt(33) + sqrt(33)))/((sqrt(1584)*-1 + sqrt(1584) - sqrt(1584))*-5))**2 + -3). -12719/960 Simplify (-2 + 2*((sqrt(242) - ((sqrt(242) - 4*sqrt(242)) + -5) - sqrt(242))*5 + -4 + -2))**2. 23760*sqrt(2) + 219096 Simplify ((4*(2 + 4 + sqrt(1331) + 1) + -3)*3)**2. 19800*sqrt(11) + 197289 Simplify (((-1 + sqrt(252) - sqrt(252)) + sqrt(252) + 1 - (3 + 0 + sqrt(252))) + (4*-1*sqrt(847) + sqrt(847))*-1)**2. -198*sqrt(7) + 7632 Simplify ((sqrt(500)/sqrt(2) + sqrt(10) - (1*sqrt(10)*2 - sqrt(10)))*-6)/(-2*sqrt(5)*-4*-6*-2). -5*sqrt(2)/16 Simplify ((-2 + sqrt(112) + sqrt(112))*-2 - (3 + sqrt(112) + 0) - (3*4*sqrt(567) + -1))**2. -512*sqrt(7) + 114692 Simplify ((sqrt(1331) - (sqrt(1331) + 1 + sqrt(1331) + sqrt(1331) + 5)) + 3 + sqrt(1331) + -1 + sqrt(1331) + 2 + -4 + 4 + (sqrt(1331) - 4*sqrt(1331)) + -5)**2. 462*sqrt(11) + 12028 Simplify (-4 + (((sqrt(684) - sqrt(684)*2) + 2 - (sqrt(684) + -2*sqrt(684)*-6)) + -1*(sqrt(684) + -2 + -1 + sqrt(684)))*-5*-5)**2. -580800*sqrt(19) + 109454641 Simplify (sqrt(11) + sqrt(275) + sqrt(275) + -2 - (sqrt(539)*-1 + sqrt(539)))**2 + ((-1*1*sqrt(121))/(2*1*sqrt(11)))**2. -44*sqrt(11) + 5351/4 Simplify (4*sqrt(468)*-1*-2)/((3*(sqrt(40) + sqrt(160)))/(sqrt(1000)*-2 + sqrt(1000)))*-4. 320*sqrt(13)/3 Simplify 4 + (-5 + (sqrt(1700) + sqrt(1700)*3 - sqrt(1700) - sqrt(1700))*-5)**2 + (-2*sqrt(1700) + 3 - (sqrt(1700)*-1*-1)**2)*-6. 1120*sqrt(17) + 180211 Simplify (-2*(sqrt(152) + 5*((sqrt(152) - (sqrt(152)*4 - sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152)) - sqrt(152)))/(sqrt(24)/(5*sqrt(3))*-1). -50*sqrt(19) Simplify ((sqrt(108)*-1*-5 + 1*1*sqrt(108))/((sqrt(12) - (-2*sqrt(48))/sqrt(4) - sqrt(12))/(5*sqrt(2)*-1)))**2. 4050 Simplify (sqrt(1539) + 3)**2 - (-2 + sqrt(19) + 3) - ((2*sqrt(228) + sqrt(228))*-2)/((1*sqrt(36))/sqrt(3)). 59*sqrt(19) + 1547 Simplify -6*(((sqrt(91) + 2*sqrt(91))*6 - -5*sqrt(91)*2)/(2*-4*sqrt(112)))**2. -1911/32 Simplify (-6*(3*sqrt(114)*-1 - ((sqrt(114) - sqrt(114)*-1)*2 - sqrt(114))))/(sqrt(24)/(sqrt(484)*1)*2). 198*sqrt(19) Simplify ((sqrt(18) + sqrt(18) + sqrt(72) + -4)**2 - (-2*sqrt(2178) - sqrt(2178)))*-3 + ((sqrt(192)/(sqrt(24)/sqrt(2)))/sqrt(8))**2 + -3*(-1 + sqrt(2) + 3). -916 - 12*sqrt(2) Simplify -4 + sqrt(425) + 1 + sqrt(425) + (sqrt(425) - (-2 + sqrt(425))) + ((-2 + -1 + sqrt(425) + sqrt(425))*-1)**2 + 2. -50*sqrt(17) + 1710 Simplify ((-1*(sqrt(189)*-1)/sqrt(9))/(sqrt(28)/(sqrt(16)/sqrt(4))*-1))**2*-3 + -4. -13 Simplify (sqrt(96)*-2 - sqrt(42)/(sqrt(7)*-2))/(sqrt(27) + (sqrt(108)/(sqrt(4)*-4) - sqrt(27)))*1. 10*sqrt(2) Simplify 4*(((sqrt(120)*2)/sqrt(6) - (0 + sqrt(405) - sqrt(60)/((sqrt(48) - sqrt(12)) + sqrt(12))))**2*-3 + 5). -1195 Simplify 5*((1 + (sqrt(200) - (-3 + sqrt(200) - sqrt(200)) - sqrt(200)))**2*2 - (4 + sqrt(200)*1 + ((sqrt(200) + 1*sqrt(200))**2 - sqrt(200))*5)). -19860 + 200*sqrt(2) Simplify -4 + -1*sqrt(176) - 2*-1*sqrt(176) - 2*((2*sqrt(176)*4)**2 - ((sqrt(176) - sqrt(176)*-2) + -1)). -22534 + 28*sqrt(11) Simplify -5*(((sqrt(64) - (-2*sqrt(64)*2 + sqrt(64)))/(sqrt(18) - sqrt(162)))**2 - ((sqrt(32) + sqrt(32) + 1 + sqrt(64)/sqrt(2))*-5*-6)**2). 108000*sqrt(2) + 11703860/9 Simplify (6*-2*(sqrt(88) + sqrt(88) + (sqrt(88)*-2 - sqrt(88))*6))/(sqrt(8) - 3*(sqrt(8) + sqrt(32)/sqrt(4)) - (sqrt(8) + (sqrt(72) - sqrt(8)))*6). -192*sqrt(11)/23 Simplify (-2*sqrt(224)*-2*-4)/((-6*(-2*sqrt(2) - sqrt(2)) + -1*sqrt(6)/sqrt(3))*4). -16*sqrt(7)/17 Simplify (5 + ((sqrt(352)*1 + sqrt(352))/sqrt(11) - (sqrt(96)/sqrt(2))/sqrt(6)))**2 + 2. 60*sqrt(2) + 99 Simplify (((4*(sqrt(684)*-1 + 0) - ((sqrt(152)/sqrt(4))/sqrt(2) + sqrt(19) + (sqrt(2299) + -1 - sqrt(19)))) + -5)*4)**2. 4608*sqrt(19) + 394240 Simplify (3*(2 + sqrt(28))*6 + 4 - 5*(sqrt(112) + -6*(-1 + sqrt(112))))**2. 2720*sqrt(7) + 129572 Simplify 1*(-5 + (3*2*-2*sqrt(272) - (3 + (sqrt(272) + 0 - sqrt(272)) + 3)))**2. 1056*sqrt(17) + 39289 Simplify (-2*(0 + sqrt(13))*6)**2 + 5 + 5 + (1 + 4*-2*sqrt(1573))*2. -176*sqrt(13) + 1884 Simplify (5*(-2 +
{ "pile_set_name": "DM Mathematics" }
+ 724 Simplify (-4 + -4 + ((sqrt(171) - sqrt(171)*-1) + sqrt(171) + 2)*3)**2. -108*sqrt(19) + 13855 Simplify (3*(4*sqrt(121) - sqrt(121)))/((2*sqrt(132))/sqrt(12)). 9*sqrt(11)/2 Simplify 2*(sqrt(196) - (sqrt(196) + sqrt(196) + sqrt(196)*2)*1)/(sqrt(567)*-2 + sqrt(42)/sqrt(96)). 48*sqrt(7)/71 Simplify 4*((sqrt(245) + -3 + sqrt(245) + -2 + sqrt(245) + sqrt(245))**2 + -1 + (sqrt(245) - (sqrt(245) + 1))). -1120*sqrt(5) + 15772 Simplify (sqrt(171)/(sqrt(324) + (sqrt(324) - -2*sqrt(324))))**2 - (2*(sqrt(1216) + sqrt(1216) + 1 + sqrt(1216) - sqrt(1216)))**2. -11208941/576 - 128*sqrt(19) Simplify (-5 + (sqrt(243) + -1 + sqrt(3)*2 + 1)*-2)**2. 220*sqrt(3) + 1477 Simplify (-2*sqrt(70)*1)/(6*(sqrt(10) - sqrt(10)*2)) - 4*sqrt(6300)*-1. 361*sqrt(7)/3 Simplify ((-1 + -3 + sqrt(117) + sqrt(117) - sqrt(117)) + (sqrt(117) - (sqrt(117) + -1*sqrt(117))*-1))**2*1. -48*sqrt(13) + 484 Simplify 2 + (5*(sqrt(300) + 1 + 0) + 5)**2. 1000*sqrt(3) + 7602 Simplify (sqrt(3) + 1*sqrt(3) + 1 + (sqrt(21) + sqrt(525))/sqrt(7))**2 - (3 + -6*(sqrt(3) + 2))**2. -92*sqrt(3) + 4 Simplify ((sqrt(35) - sqrt(875)*1 - 2*2*sqrt(35))/(2*1*sqrt(7) - 4*sqrt(14)/sqrt(2)))**2. 80 Simplify ((-2 + sqrt(75) + 5)**2 + 4 + (sqrt(12) - sqrt(48)/sqrt(4)))*1. 30*sqrt(3) + 88 Simplify ((3*sqrt(5)*-2)**2 - sqrt(45)/(sqrt(63)/sqrt(7) + sqrt(9))) + (-4 + 2 + -2 + sqrt(20))**2. -33*sqrt(5)/2 + 216 Simplify (sqrt(735) + (sqrt(735) - (sqrt(735) - (sqrt(735) + (sqrt(735)*-1 - sqrt(735))))))/(-2*sqrt(75)). 0 Simplify ((sqrt(100) - sqrt(100)*2 - sqrt(100))/sqrt(10)*-4)/((sqrt(4500)*2)/sqrt(9)). 2*sqrt(2)/5 Simplify -5*((3*2*sqrt(108)*-3)**2 + 3). -174975 Simplify (-4*sqrt(12)/sqrt(4) + sqrt(3) - ((sqrt(3) - sqrt(48)) + -1))*4 + 3. 7 Simplify 4*(4*5*(sqrt(171) + 2) + 2)*2. 336 + 480*sqrt(19) Simplify (3*(1*sqrt(1200) + sqrt(1200) - sqrt(1200) - sqrt(12)))/(sqrt(600) - (sqrt(600) - sqrt(600)*-1)*3 - sqrt(600)). -9*sqrt(2)/20 Simplify 4 + (2*((sqrt(637) + -1*sqrt(637) - sqrt(637)) + 4 + -3)*6)**2. -2016*sqrt(13) + 91876 Simplify (2 + (-5*sqrt(108)/sqrt(4))/(sqrt(45)/sqrt(125)))**2. -100*sqrt(3) + 1879 Simplify 3 + sqrt(891)*-4 - (-1 + sqrt(539)*6)**2. -19402 + 48*sqrt(11) Simplify -4 + (1*-6*sqrt(77)*1)/(-3*(1*sqrt(539) + sqrt(539))). -4 + sqrt(7)/7 Simplify (-1 + sqrt(432) + sqrt(432) + sqrt(432) + 1 + sqrt(432) + (sqrt(432)*2 + sqrt(432))*3 + sqrt(432))**2 + -5. 84667 Simplify sqrt(567) + 1 - (sqrt(7) - (sqrt(847)*2 + sqrt(847) + sqrt(7)))**2 - ((4 + sqrt(21)/sqrt(3))*-6)**2. -8450 - 279*sqrt(7) Simplify -1*sqrt(16)/sqrt(32)*-1 - ((sqrt(216) - (sqrt(216) + 1*(sqrt(216)*-1 - sqrt(216) - sqrt(216)) + sqrt(216)))/sqrt(12))**2. -72 + sqrt(2)/2 Simplify ((sqrt(35) + sqrt(2240)*1)/(sqrt(847)*-2))**2 + 4*(-1 + sqrt(245)) + 0. -1531/484 + 28*sqrt(5) Simplify ((-5*(sqrt(78)/sqrt(3) - sqrt(26))*-2)/((-2*sqrt(128))/sqrt(4)))**2. 0 Simplify 1 + sqrt(2)*1*2 + -4*sqrt(250)/sqrt(5). -18*sqrt(2) + 1 Simplify 5 + 3 + (sqrt(30) - (sqrt(30) + 2*sqrt(3630)))/(-3*-1*sqrt(10)). -22*sqrt(3)/3 + 8 Simplify ((sqrt(5616) - (sqrt(5616)*3 + sqrt(5616)) - sqrt(5616) - sqrt(5616)) + sqrt(5616))/(1*sqrt(18)/sqrt(6)) + -1. -48*sqrt(13) - 1 Simplify (-1*sqrt(245))**2 + sqrt(245) + (sqrt(5) + (sqrt(30) + sqrt(210)/sqrt(7))/sqrt(6))**2 + -4 + ((-1 + sqrt(405))*2)**2. -65*sqrt(5) + 1910 Simplify 3 + -4 + -2*sqrt(3) + (-5 + (0 + sqrt(432) - sqrt(432)))**2. -2*sqrt(3) + 24 Simplify (sqrt(54)/(sqrt(12)/sqrt(4)) - (sqrt(18) + 1*sqrt(882)))/((sqrt(162)*1)/sqrt(2)). -7*sqrt(2)/3 Simplify (((sqrt(272) - (3 + -1 + sqrt(272))) + sqrt(272) + sqrt(272) - 2*sqrt(272)*4) + -5)*1. -24*sqrt(17) - 7 Simplify (3*-3*((sqrt(76) - (sqrt(76) + (-3*(sqrt(76)*-5 + sqrt(76)) - sqrt(76)))) + sqrt(76))*-2)**2. 2462400 Simplify ((sqrt(1372) + -2*sqrt(1372) - sqrt(1372))*-1)/(sqrt(24)/(2*(sqrt(6)*-2 + sqrt(6)) - sqrt(6))). -42*sqrt(7) Simplify (4 + (sqrt(2736) - (4 + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + 0)))) + -4)**2. -192*sqrt(19) + 10960 Simplify (sqrt(252) - (sqrt(252) + 2) - sqrt(252))**2 - sqrt(252) - (sqrt(567) + 2 + -2). 9*sqrt(7) + 256 Simplify (((sqrt(75) - (sqrt(75) + -1 + sqrt(75))) + sqrt(75))**2 - sqrt(12)/(sqrt(196) + sqrt(4))) + 4. -sqrt(3)/8 + 5 Simplify (sqrt(5) + 0)*4 + -2*sqrt(5) + -4 - (2*(sqrt(5) + 2)*-3)**2. -328 - 142*sqrt(5) Simplify (3*sqrt(208) - (-5 + sqrt(13)*-3)) + -5. 15*sqrt(13) Simplify 1*((sqrt(1620)*4)/(sqrt(36)*1))**2 + -3. 717 Simplify -5 + 3 + (sqrt(2057)*2 + 3 + sqrt(2057) + sqrt(2057) + -5*(sqrt(2057) + 2))**2. 154*sqrt(17) + 2104 Simplify (((sqrt(130)*-2 - sqrt(130))/sqrt(10))**2 - (2*sqrt(1300) + sqrt(13))**2) + 1 + sqrt(1053)*-1*6. -5615 - 54*sqrt(13) Simplify (sqrt(209)/(sqrt(176) + sqrt(11)) - sqrt(475)*3 - (sqrt(114) + (4*(sqrt(114)*-1 - sqrt(114)) - sqrt(114)))/(sqrt(726)*1))**2. 11382444/3025 Simplify (6*(sqrt(8)/sqrt(4)*6 + sqrt(2) + (sqrt(2) - (sqrt(8) - sqrt(2)))*3))**2 + -3. 3525 Simplify 2*-2*(-5 + sqrt(39)/sqrt(3) + (3*sqrt(1872))**2). -67372 - 4*sqrt(13) Simplify (2*-4*1*sqrt(1539))**2*5 + 3. 492483 Simplify (0 + (sqrt(140) - (sqrt(140) + (sqrt(140) - (sqrt(140) - -2*(sqrt(140) - (sqrt(140)*-2 - sqrt(140))))) + sqrt(140)))/sqrt(5))**2. 1372 Simplify (-2*sqrt(70)*-1 + -1*sqrt(70)*1)/((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4))*-2) + sqrt(1000)*-1). -sqrt(7)/9 Simplify (sqrt(3) - (2*sqrt(3) + -4)) + (sqrt(3) - -1*sqrt(3)*-5)**2 - sqrt(108)/(sqrt(4) + sqrt(16) - sqrt(4)). -5*sqrt(3)/2 + 52 Simplify (sqrt(112) + (sqrt(112)*-1 + sqrt(112))*1)/(2*-4*sqrt(36)). -sqrt(7)/12 Simplify (sqrt(1584) + 1 + 3)*-5 + 5. -60*sqrt(11) - 15 Simplify sqrt(12)/(sqrt(48)/sqrt(8)*-2)*-1*-5. -5*sqrt(2)/2 Simplify sqrt(252) + (sqrt(252)*-1*5 - sqrt(252))**2 - (sqrt(343) + 1 + sqrt(343) - (sqrt(21) - sqrt(84) - sqrt(21))/sqrt(3)). -10*sqrt(7) + 9071 Simplify (1 + -5 + -1*-2*sqrt(833) + sqrt(119)/sqrt(63) + -1 + (sqrt(17) - sqrt(17)*-1))**2. -490*sqrt(17)/3 + 41042/9 Simplify 3 + ((sqrt(76) + -1)**2 - sqrt(76)) + sqrt(76) + 4 - -5*(sqrt(76) - (sqrt(76) + sqrt(76)*2)**2)*1. -3336 + 6*sqrt(19) Simplify 1 + (-4 + (sqrt(112) + 2 + sqrt(112) + 5)*-1)**2*6. 1056*sqrt(7) + 3415 Simplify (sqrt(2736) - -1*sqrt(2736)*-4) + (sqrt(95)/(sqrt(60)/sqrt(192)))**2. -36*sqrt(19) + 304 Simplify (-2 + (2*sqrt(65))/sqrt(5))*1 + ((sqrt(13) + -1 + sqrt(13))*2 - ((sqrt(13) + 0 - sqrt(13)) + 2 + sqrt(13)))*-6. -16*sqrt(13) + 22 Simplify (((1*sqrt(154) + sqrt(154))*4)/sqrt(11))/((sqrt(972)*-1 - sqrt(972))/sqrt(6)). -4*sqrt(7)/9 Simplify 5*(1 + -3 + sqrt(2) + (3*sqrt(2))**2*-2). -190 + 5*sqrt(2) Simplify -2 + 4 + 0 + sqrt(1377) + sqrt(1377) + (sqrt(833) + sqrt(833)*2)**2*-6 + -2. -44982 + 18*sqrt(17) Simplify (-1*sqrt(1470))/sqrt(6) + (sqrt(245) + 2 + sqrt(245) + 4)**2. 161*sqrt(5) + 1016 Simplify ((1*sqrt(36) + sqrt(36))/sqrt(12) - sqrt(3))*1 + ((sqrt(90)/sqrt(24))/sqrt(5))**2. 3/4 + sqrt(3) Simplify (sqrt(68)*-1*-5 + ((sqrt(68)*-2 + sqrt(68))*-3 - sqrt(68)))/((-3*sqrt(484) - sqrt(484) - sqrt(484))*-3 - sqrt(484)). sqrt(17)/22 Simplify -3*(0 + sqrt(1331) + sqrt(1331)) - (-1 + sqrt(275))*-2. -56*sqrt(11) - 2 Simplify ((5*sqrt(190) + sqrt(190))*-2)/(sqrt(40)/(-5*sqrt(4))). 60*sqrt(19) Simplify (-4 + sqrt(242) + 1 + -4)**2 + -3. -154*sqrt(2) + 288 Simplify (3*(-2*sqrt(104) + sqrt(104)) + -6*-2*sqrt(104))/(sqrt(64)/(sqrt(72)*3 + sqrt(8))). 90*sqrt(13) Simplify 4*(sqrt(432) + (-1*sqrt(432) - sqrt(432)))/(6*(sqrt(6) + sqrt(12)/sqrt(2))). -2*sqrt(2) Simplify sqrt(2)*-1 + -3 - sqrt(2) - -2*sqrt(4)/sqrt(2) - (1 + sqrt(128) + (sqrt(128) - (sqrt(128) + (sqrt(128) + -4 + sqrt(128))**2))). -136*sqrt(2) + 524 Simplify ((sqrt(15) + 6*sqrt(60))/(sqrt(125)*-1))**2 - -6*(2 + -2*sqrt(243))**2. -432*sqrt(3) + 146907/25 Simplify (5*(sqrt(2736) + sqrt(2736)*-1)**2 + 3)*2 + -4. 2 Simplify (sqrt(110)*-2*-4 - sqrt(110))/(sqrt(250) + sqrt(250)*-1 + sqrt(250) + sqrt(250)). 7*sqrt(11)/10 Simplify -4*-2*sqrt(605) - 3*5*sqrt(605). -77*sqrt(5) Simplify ((-5*1*sqrt(7) - sqrt(7))*1 - 6*sqrt(112)*-3)**2. 30492 Simplify ((-3*-6*sqrt(136))/(6*sqrt(968)) + 4)**2. 24*sqrt(17)/11 + 2089/121 Simplify (((sqrt(144)/sqrt(4) - sqrt(36)) + sqrt(36))/sqrt(2)*-6)**2 - (-4 + (sqrt(2) - 1*2*sqrt(2))**2 + -5). 655 Simplify ((6*sqrt(102)*1)/sqrt(6) - ((sqrt(136) - (-3*sqrt(136) - sqrt(136)))/sqrt(8) + -4))**2. 8*sqrt(17) + 33 Simplify (sqrt(14)/sqrt(2) + 0 + (sqrt(168)/sqrt(3))/sqrt(8) + -3*(1 + sqrt(7))*5 + -1)**
{ "pile_set_name": "DM Mathematics" }
-2.1 Round -6940930 to the nearest one hundred thousand. -6900000 What is 0.00010370467273 rounded to 6 decimal places? 0.000104 What is -0.0009530479649 rounded to 5 dps? -0.00095 What is -0.0970050596 rounded to 6 dps? -0.097005 Round -199497.0198 to the nearest one thousand. -199000 What is 0.0000670497411 rounded to five dps? 0.00007 What is 42378.603 rounded to the nearest ten? 42380 What is -54.116948 rounded to 1 decimal place? -54.1 What is 0.001827376611 rounded to five decimal places? 0.00183 What is 6659246.7 rounded to the nearest 100000? 6700000 What is 2765998000 rounded to the nearest one million? 2766000000 What is -552731290 rounded to the nearest one million? -553000000 Round 21374832 to the nearest 1000000. 21000000 Round 0.0913710112 to 3 dps. 0.091 Round -5208680.43 to the nearest 100. -5208700 What is 0.203540613 rounded to 5 dps? 0.20354 What is 0.003814752066 rounded to 4 dps? 0.0038 What is 2016881.193 rounded to the nearest 100000? 2000000 Round -0.000015831511 to 6 decimal places. -0.000016 What is -15356.0042 rounded to the nearest 1000? -15000 Round 0.0233424821 to four dps. 0.0233 Round 0.146127904 to one dp. 0.1 Round 0.0001746719603 to 4 dps. 0.0002 What is 52314655.6 rounded to the nearest one million? 52000000 Round -0.000709554457 to six decimal places. -0.00071 What is 679119.8 rounded to the nearest ten thousand? 680000 What is -0.00353331425 rounded to 6 decimal places? -0.003533 Round 0.0005597295 to three dps. 0.001 What is 0.00002551069376 rounded to seven dps? 0.0000255 What is 0.000469167628 rounded to seven decimal places? 0.0004692 Round -10.02149026 to zero decimal places. -10 Round 0.14477740408 to two dps. 0.14 What is -1848.93908 rounded to the nearest 10? -1850 Round -0.196044934 to 1 decimal place. -0.2 What is -7351.83695 rounded to the nearest ten? -7350 What is -101168.46 rounded to the nearest one thousand? -101000 Round 0.004970586772 to 5 dps. 0.00497 What is -747186608 rounded to the nearest 10000? -747190000 What is -3221532.1351 rounded to the nearest 100? -3221500 What is 6.5387579 rounded to three dps? 6.539 Round 137796912 to the nearest 1000000. 138000000 Round -0.000018829826143 to 7 dps. -0.0000188 What is 1.0694813 rounded to 1 dp? 1.1 What is -834.608131 rounded to the nearest integer? -835 What is 69358.2304 rounded to the nearest one thousand? 69000 Round 548.302374 to the nearest ten. 550 What is 0.0000240257888 rounded to 7 decimal places? 0.000024 What is 0.0000120977241 rounded to 5 dps? 0.00001 Round -230467555.6 to the nearest 100000. -230500000 Round -13.7362194 to three decimal places. -13.736 What is 4553813377 rounded to the nearest one million? 4554000000 Round -0.0003488225307 to 7 decimal places. -0.0003488 Round 139773776.1 to the nearest 1000000. 140000000 Round 4396733.331 to the nearest one hundred. 4396700 What is -1661743200 rounded to the nearest 1000000? -1662000000 What is -0.01592376108 rounded to 5 dps? -0.01592 What is -0.00393987661 rounded to seven dps? -0.0039399 What is -2524651.152 rounded to the nearest one million? -3000000 What is 8597.6439 rounded to the nearest ten? 8600 Round 0.147816313 to two decimal places. 0.15 What is 17.07782138 rounded to 2 decimal places? 17.08 What is 2.49524353 rounded to the nearest integer? 2 Round -835.686825 to the nearest ten. -840 Round 3129121.547 to the nearest 100. 3129100 Round 104329.9888 to the nearest ten thousand. 100000 Round -83.96212052 to three decimal places. -83.962 What is 28685.053 rounded to the nearest 1000? 29000 Round -0.0000003544128434 to seven dps. -0.0000004 What is -0.1092404688 rounded to two decimal places? -0.11 What is -0.91233784 rounded to zero dps? -1 Round -43671.8422 to the nearest one hundred. -43700 Round -473.2744473 to 0 decimal places. -473 What is 32168.4622 rounded to the nearest ten? 32170 Round -416288.0524 to the nearest 100. -416300 What is 50288566.62 rounded to the nearest one thousand? 50289000 Round -0.000100524297 to seven decimal places. -0.0001005 Round 253435.6151 to the nearest one hundred. 253400 What is -3394.3187 rounded to the nearest 1000? -3000 Round 1.3457131 to two decimal places. 1.35 What is -160.071577 rounded to 0 dps? -160 Round 0.00883156105 to 5 dps. 0.00883 Round -89296874 to the nearest one hundred thousand. -89300000 What is 0.0015330671 rounded to 4 dps? 0.0015 Round 0.0004522913372 to six decimal places. 0.000452 Round 805529680 to the nearest 1000000. 806000000 What is 47777717 rounded to the nearest one million? 48000000 What is -0.0000101543358 rounded to seven dps? -0.0000102 Round 4490.830596 to the nearest 1000. 4000 What is 0.00008963786 rounded to 3 decimal places? 0 What is -1.5916647 rounded to 3 decimal places? -1.592 What is -0.004538313138 rounded to four decimal places? -0.0045 Round 897286.226 to the nearest one thousand. 897000 Round -0.00113568429 to 6 dps. -0.001136 Round 376.495357 to two decimal places. 376.5 Round 52440699 to the nearest 100000. 52400000 What is 23349777.3 rounded to the nearest ten thousand? 23350000 Round 31.5544938 to 1 decimal place. 31.6 What is -8722972.4 rounded to the nearest 1000000? -9000000 What is 0.0012699081046 rounded to five dps? 0.00127 Round 0.00125937497 to 4 dps. 0.0013 What is 0.0001145980922 rounded to 5 dps? 0.00011 What is -0.1984407945 rounded to three dps? -0.198 Round 34550678.5 to the nearest one thousand. 34551000 Round -17939733.546 to the nearest one million. -18000000 What is 45359798.9 rounded to the nearest ten thousand? 45360000 What is 8227808500 rounded to the nearest 1000000? 8228000000 Round -0.0000003593132202 to seven decimal places. -0.0000004 Round -2.22919107 to three dps. -2.229 Round -14.62531778 to 2 dps. -14.63 Round 94056.7679 to the nearest one hundred. 94100 Round 0.00104424121 to 7 decimal places. 0.0010442 What is -164014278.05 rounded to the nearest 1000000? -164000000 What is -7469819832 rounded to the nearest one million? -7470000000 What is -3772379.5 rounded to the nearest one million? -4000000 Round 7141.974024 to the nearest one hundred. 7100 Round -807114850 to the nearest one million. -807000000 Round 561091610 to the nearest 100000. 561100000 What is 37.342044 rounded to 0 dps? 37 What is -63.768393 rounded to the nearest one hundred? -100 Round -3658325420 to the nearest 100000. -3658300000 Round -1182799.912 to the nearest 100. -1182800 Round -322463.301 to the nearest 10000. -320000 What is -2.6695671 rounded to one decimal place? -2.7 Round -244.3261598 to the nearest integer. -244 What is 0.00646715043 rounded to 3 decimal places? 0.006 What is -7583.7114 rounded to the nearest one hundred? -7600 What is 240885866 rounded to the nearest 100000? 240900000 Round 65366.3063 to the nearest 10000. 70000 Round 902216.17 to the nearest one thousand. 902000 What is -3580620.1 rounded to the nearest 100000? -3600000 Round 0.0000341161547 to 6 dps. 0.000034 What is 47188.78516 rounded to the nearest ten? 47190 Round 1.24028106 to the nearest integer. 1 What is -690.78504 rounded to the nearest 10? -690 What is -3872.68878 rounded to zero dps? -3873 Round -61539.58212 to the nearest 1000. -62000 What is 192461.46 rounded to the nearest ten thousand? 190000 Round -36.7546929 to 2 dps. -36.75 Round 0.00004537608 to four dps. 0 What is 4556327.49 rounded to the nearest one million? 5000000 What is 2889313.171 rounded to the nearest 10000? 2890000 What is 0.00000335438675 rounded to 7 dps? 0.0000034 Round -311284.94 to the nearest one thousand. -311000 What is -0.0000838306784 rounded to five dps? -0.00008 Round -638310.4214 to the nearest one hundred thousand. -600000 What is -7.13340353 rounded to 3 dps? -7.133 What is 80435912.95 rounded to the nearest 10000? 80440000 What is -118997.804 rounded to the nearest one thousand? -119000 Round 0.00005121620248 to 5 decimal places. 0.00005 Round 0.000000044550321 to seven decimal places. 0 What is -50191.4062 rounded to 0 decimal places? -50191 What is 0.1137298305 rounded to four dps? 0.1137 What is 8838413.52 rounded to the nearest one thousand? 8838000 Round -4823355.82 to the nearest 100. -4823400 Round 531.43172 to 1 decimal place. 531.4 Round 0.00000190595148 to seven decimal places. 0.00
{ "pile_set_name": "DM Mathematics" }
x = 34 - -12. Calculate the remainder when x is divided by 16. 14 Let z be -25 + (1 - -4 - 4). Calculate the remainder when 55 is divided by (-200)/(-14) + z/84. 13 Suppose 2*l + 0 + 2 = 0. Let y be (-8)/2 + 1 + l. What is the remainder when 26 is divided by ((-14)/(-3))/(y/(-12))? 12 Let g = 4 - 0. Suppose 3*v - 62 = 5*a, -g*a = -5*v + 41 + 45. What is the remainder when v is divided by 4? 2 Let n(r) = 41*r**2 - 2*r - 2. Let l be n(2). Suppose x + x = l. What is the remainder when x is divided by 27? 25 Let r(y) = y**3 + 22*y**2 + 20*y + 10. Calculate the remainder when r(-21) is divided by 17. 14 Let z = -14 - -27. Suppose n = 6 - 1, -n - z = -2*k. Let q = 22 - -13. Calculate the remainder when q is divided by k. 8 Let h = 5 + -3. Suppose 0*k = -h*k + 8. Suppose -k*z + 71 = 4*o - 9*z, 4*z - 4 = 0. What is the remainder when o is divided by 11? 8 Let l(r) = r**3 - 2*r**3 + 5*r**2 - 2 + 6. Let k be l(5). Suppose -k*p - p + 60 = 0. What is the remainder when 23 is divided by p? 11 Let t = -6 + 41. Let o(y) = y**2 + 17. Let n be o(0). Let g = n + -5. Calculate the remainder when t is divided by g. 11 Suppose 28 + 0 = 4*c. What is the remainder when 25 is divided by c? 4 What is the remainder when 4*(67/2 + 2) is divided by 9? 7 Let w(h) = 5*h - 3. Let z(d) = d - 1. Let p(c) = -w(c) + 6*z(c). What is the remainder when 11 is divided by p(9)? 5 Let c = -19 + 54. Calculate the remainder when 172 is divided by c. 32 Suppose 5*i - 48 = 2*i. Calculate the remainder when 41 is divided by i. 9 Let f(d) = -2*d**2 - 6*d + 4. Suppose -65 = -2*x - 3*x. Calculate the remainder when x is divided by f(-3). 1 Let h = 6 + 36. Suppose 0*i - i = -11. What is the remainder when h is divided by i? 9 Suppose -2*c + v = 3*v - 336, 4*c - 668 = -3*v. Suppose -2*q = 4*u - 106, 0 = 5*q - q - 4*u - c. Calculate the remainder when q is divided by 23. 22 Suppose 4*v = 3*i - 36 + 7, -3*i - 4*v = -13. Let q be (2 + 8/(-6))*6. Suppose -q = -2*k + 2. Calculate the remainder when i is divided by k. 1 Calculate the remainder when 2 is divided by (1 + -3)*1/(-2). 0 Suppose 0 = 3*z - 4*a - 5, -3*z = -2*z + 2*a - 5. Let v(m) = -z*m - 6 + 3*m + 5*m + 2*m**2. What is the remainder when v(-5) is divided by 7? 5 Let p be ((-235)/(-1))/(2/(-8)). What is the remainder when (-2)/(-5) - p/25 is divided by 20? 18 Let t = -2 + 4. Suppose 6 = 2*j - 2*l, -3*j - 4*l + 15 = 2*j. Calculate the remainder when j is divided by t. 1 Suppose v + 2*v = 15. Suppose -x = -v*x + 76. What is the remainder when x is divided by 7? 5 Let z(k) be the first derivative of 3*k**2/2 - 2*k + 1. Let n(w) = -w**3 - 9*w**2 - 11*w - 4. What is the remainder when n(-8) is divided by z(3)? 6 Let a = -13 + 8. Let g = a - -6. What is the remainder when 3 is divided by g? 0 Let p(a) = -7*a**3 + a + 4. Let b be p(-2). Suppose -x - 3 + 0 = -3*g, -2*g + b = 4*x. Let d = 41 - 7. What is the remainder when d is divided by x? 10 Let k be (-6 + 4)*(0 - 7). Let p(c) = -c**3 + 22*c**2 - 2*c + 57. What is the remainder when (k/2)/(3/21) is divided by p(22)? 10 Let z(x) = -5*x + 1. Let y be z(-1). Let t be 12/2*4/y. Suppose -t*r + 37 = -3. Calculate the remainder when 29 is divided by r. 9 Suppose -3*k + 3*n = -0*k - 27, -5*k + 63 = n. What is the remainder when 35 is divided by k? 11 Let n(g) = g + 7. Let p(v) = 1. Let w(k) = -3*n(k) + 21*p(k). What is the remainder when 29 is divided by w(-5)? 14 Let r = -8 - -8. Suppose r = 2*p + p - 3, 3*p = -2*x + 65. Suppose -5*q + 137 = 3*w, w - 4*w - x = -q. Calculate the remainder when q is divided by 10. 8 Suppose -5*s - 4 - 16 = 5*o, 4*s = 4. Let u(j) = -j - 2. Calculate the remainder when 8 is divided by u(o). 2 Suppose -3*r + 114 = -60. Calculate the remainder when r is divided by 30. 28 Suppose 5*h - 237 + 99 = -2*u, -5*h = 20. Calculate the remainder when u is divided by 8. 7 Suppose -t - 4*q + 9 = -1, -4*t + 2*q = -94. Calculate the remainder when (20/(-8))/((-2)/52) is divided by t. 21 Suppose -3*p = p - 72. Let w = -13 + p. Calculate the remainder when w is divided by 3. 2 Suppose -3*h + 3*i = -2*i - 123, -h + 5*i = -31. Calculate the remainder when h is divided by 16. 14 Suppose 4*f = f + 78. Let t = 5 - -9. Calculate the remainder when f is divided by 132/14 + (-6)/t. 8 Suppose -55 = -2*o - 1. What is the remainder when o is divided by 14? 13 Suppose 0 = -h + 2*h - 14. Let o be (-30)/9*6/5. Calculate the remainder when (o/10)/(2/(-130)) is divided by h. 12 What is the remainder when 214 is divided by (1 + -55)*(-25)/50? 25 Let b(l) = 0*l - 4*l - 5*l**2 + 3*l - l**2. Let d be b(-1). Let t = 39 + d. Calculate the remainder when t is divided by 12. 10 Let w(b) = -b - 1. Let x be w(-6). Let o(g) = g**3 - 5*g**2 + g + 12. What is the remainder when o(x) is divided by 1 + 0/1 - -5? 5 Suppose 8*n + 272 = 16*n. Calculate the remainder when 132 is divided by n. 30 Let g = -6 + 13. Let l = 14 + g. What is the remainder when 82 is divided by l? 19 Let t(s) = -s - 3. Let r be t(-3). Suppose -z = -3*z + 2*p + 10, r = -2*z + 5*p + 13. Calculate the remainder when 14/(1*(-4)/(-2)) is divided by z. 3 Let s = 62 + -110. Let o = 70 + s. Calculate the remainder when 63/6*4/1 is divided by o. 20 Suppose 2*i + 30 = 5*i. Let k = 3 + 0. Suppose -6*w + k*w + 54 = 0. Calculate the remainder when w is divided by i. 8 Let m(b) = 8*b + 49. What is the remainder when 30 is divided by m(-5)? 3 Suppose -3*u - 61 = -4*m + 42, 50 = 2*m - 2*u. What is the remainder when m is divided by -4 + -2 + 20 + 2? 12 Suppose 4*b - 36 = -8. Let k = 24 + -11. What is the remainder when k is divided by b? 6 Suppose -5*i + 0*i + 165 = 0. Let t = i - 18. What is the remainder when 59 is divided by t? 14 Suppose -5*a = -a + 3*m - 60, -4*a = 2*m - 56. What is the remainder when a is divided by 6? 0 Suppose -7*p = -2*p - 40. Calculate the remainder when 14 is divided by p. 6 Let c(n) = -4*n. Let j be c(-1). Suppose -3*i + 73 = -0*h - j*h, -h = i - 15. Calculate the remainder when i is divided by 10. 9 Suppose 4*y = 3*d + 2*y - 295, 5*y + 495 = 5*d. Suppose -d = -3*r - 1. What is the remainder when r is divided by 17? 15 What is the remainder when ((-4)/(-1))/(18/153) is divided by 9? 7 Let w(p) = -p**3 - 4*p**2 - 4*p + 4. Calculate the remainder when w(-4) is divided by 6. 2 Let v = -42 + 77. Suppose -5*k + 5*z + v = 0, -19 = -5*k - z + 34. Calculate the remainder when 29 is divided by k. 9 Let k(s) = -3*s + 4 - 2*s + 2*s. Let i be k(3). Let q = 2 - i. Calculate the remainder when q is divided by 4. 3 Suppose 235 + 80 = 3*m. Suppose -2*w + m = w. Calculate the remainder when w + 1 - (1 - 3) is divided by 10. 8 Let c(l) = 8*l - 20. What is the remainder when 82 is divided by c(4)? 10 Suppose 71 = 4*z - 9. Calculate the remainder when 116 is divided by z. 16 Let u(z) = z**3 - 11*z**2 + 13*z - 22. Suppose 5*l - 21 = -4*m, -2*l = -3*m + 10 - 0. What is the remainder when (-84)/9*(-6)/m is divided by u(10)? 6 Let i = -55 + 184. What is the remainder when i is divided by 26? 25 Suppose 3*i + i - 132 = 0. Let d = 9 + i. What is the remainder when d is divided by 15? 12 Suppose y - 18 = 4*w, -3*w - 2 = 3*y + 4. Calculate the remainder when w/((-16)/68)*5 is divided by 22. 19 Suppose 2*z - 2 - 18 = 0. Calculate the remainder when z is divided by 3. 1 Suppose t = -3*t + 212. Suppose 56 = -i + 5*i. What is the remainder when t is divided by i? 11 Let v(p) be the second derivative of p**5/10 + p**4/2 - p**3/3 + 2*p**2 - 2*p. Let i be v(-5). Calculate the remainder when 34 is divided by 6/(-21) + i/(-7). 10 Suppose -11*t = -17*t + 480. Calculate the remainder when t is divided by 29. 22 Let z = 155 - 88. Calculate the remainder when z is divided by 17. 16 Suppose -k + 19 = -3*s, 0*k + k + s = 7. Let i(c) = 4*c. What is the remainder when k is divided by i(1)? 2 Suppose 2*q + 0*q + 4*s - 68 = 0, q + 5*s - 31 = 0. Calculate the remainder when q is divided by 13. 10 Suppose -44 = -4*y - 0. What is the remainder when 43 is divided by y? 10 Calculate the remainder when 43 is divided by 11/(-3 - 4/(-1)). 10 Let w = -1 + 3. Suppose -w*h - 18 = -5*h. What is the remainder when 1 is divided by (2/h)/(1/3)? 0 Suppose 5*t - 4*b = 0, t - b + 1 = -0*t. Let o be 66 + (2 - 0)/1. Suppose 0 = -t*a + 8*a - o. Calculate the remainder when a is divided by 9. 8 Ca
{ "pile_set_name": "DM Mathematics" }
s (894/(-10))/3*7955/(-1406444) + (-4)/26? 1/68 Evaluate ((-38)/570)/(57/684). -4/5 (-1*5/10)/(259675/4810 + -54) 37 Calculate ((-7940)/5955)/((-8)/(-402)). -67 Calculate 49*-1*(-1)/(-117) + (860/(-90) - -10). 1/39 Evaluate (1 + (-117)/90)/((-28)/2240). 24 (20/(-120))/((-10320)/(-774)) -1/80 What is (52/(-54))/((-195)/5265)? 26 ((-5)/(-6))/((-8967)/26901) -5/2 What is ((-10 - (-493)/34)/(10/8))/(2/(-10))? -18 Calculate 834/12 - (0 + (-216)/(-112) + 20/(-14)). 69 What is the value of 322/(-22) + (-5369)/(-413)? -18/11 Evaluate 441/84*((-77)/21 + 4) - 282/152. -2/19 (26545/(-53090))/(47*1/(-4)) 2/47 Calculate (2 + -24)*710/(-781) - 32. -12 What is (-7)/(-196)*-6 + (-154628)/(-2408)? 64 93 + (-800)/50 - 57 20 Calculate 273/(-105) + 144/(((-1125)/(-20))/(-15)). -41 Evaluate ((-35937)/(-484) + -75)*(4/(-13))/(-1). -3/13 What is the value of (2612/27426)/(20/(-14))? -1/15 (-482139)/7653 + 29/1 -34 Calculate (106 - 154 - 185/(-5)) + -73 + 1. -83 What is the value of ((-12)/9)/(33 - 11910/360)*1? 16 Evaluate ((-22)/3)/((-8530)/(-4265)). -11/3 Calculate -11 + 2/(-1) - (51 - 37 - -5). -32 What is (((-20)/5)/(-1380))/((-69 - -42)/135)? -1/69 Evaluate 10*(315/30 - 11). -5 Calculate (-1 - -14) + -23 + (100793/594)/17. -1/54 What is (732412/(-3772) + 194)*(-4)/14? 2/41 What is the value of (1 + 1)/((72/96)/((-9)/24))? -1 Calculate (6 - (-663)/(-143))*110/10 + -168. -153 (-705)/(-20)*(-3760)/(-1410) - -30 124 What is 555*(-15)/(-540)*((-19)/(-152) + 84/(-160))? -37/6 What is the value of ((-2484)/(-162) - 15)*(-36)/8? -3/2 2 + (-7)/3 - (-98 - (-6363)/189) 64 (903/55 - 392/49)*5 + 23/(-253) 42 Calculate ((-35)/15 + 4)*(-3)/(7 + 16/(-3)). -3 Calculate (-2)/6 + (-4)/(-17) + (-3204824)/(-29534712). 2/191 What is (-109)/(-3597) + -3*(-293)/396? 9/4 Calculate ((-588)/154 + (-6)/33)*(-7)/2. 14 What is the value of (-2)/22 - ((-1042)/88 - -13)? -5/4 Evaluate 833/((-139)/(10286/(-629))). 98 What is the value of -11 - (-143)/869*67? 2/79 (4*14/12)/(4344/3258) 7/2 10260/35055*(6 - (-175)/(-30)) 2/41 Evaluate (-2224)/(-48) - (-130)/(-39). 43 2061/(-458)*(-44)/9 22 What is the value of (136/(-14) + -100 + 110)*(3 + 70/(-24))? 1/42 What is (-76)/133*((-8)/((-16)/(-6)) + -25)? 16 What is the value of ((-35)/56)/(1050/9660)? -23/4 (-32)/10*-1445*26/(-1768) -68 Calculate 1824/76608 - (-836)/(-21000). -2/125 Evaluate ((-7)/((-294)/7) - 2/(-4))*(-24948)/(-504). 33 Calculate ((-152)/(-90) - 472/(-4248))/(4/(-180)). -81 Calculate (40/((-3440)/(-5289)))/(6/(-4)). -41 Evaluate (-4 - -10) + -5 + -30*(-2)/20. 4 What is the value of (105/6 + (-281 - -256))/(-15)? 1/2 What is the value of (-176)/(-2112)*(-4 + 22) + (-31)/8? -19/8 What is the value of 728/(-676) - 14784/(-546)? 26 What is the value of (-500)/140*798/95? -30 Evaluate (-8 - (-287)/(-7)*1) + (12 - 1) + -4. -42 What is the value of 680/26180 + 8553/(-231)? -37 What is (-4)/(480/18)*(-336)/(-504)? -1/10 Calculate 46 - -8016*(-32)/1536. -121 -6*8/(-26664)*71/((-497)/(-154)) 4/101 What is (-78)/65*1615/(-306)*-6? -38 What is (644/(-828))/(((-115)/495)/23)? 77 Calculate 32/288*(-9 - -72). 7 960/480*(-4)/12*-129 86 ((-45)/5 + (-583)/(-106))/((-1)/14) 49 What is -516*((-3514)/(-84) - 42)? 86 (-14*177/70210)/((4 + -1)/(-15)) 3/17 (-1 + 1 - -3)/(-32 + 33) + (-16)/(-12) 13/3 46/(32200/(-2060)) + 6 + -3 2/35 Calculate (-71)/426 + ((-3)/(-12))/((-210)/(-1940)). 15/7 (7/42)/(-1*(-208)/(-156)) -1/8 What is ((-3291351)/3420)/113 - 2/24? -43/5 ((-3240)/(-144))/(513/38) 5/3 Calculate ((-3)/9)/((25 - (-1001)/(-39))*4/(-48)). -6 Evaluate (27/90)/((-48)/32). -1/5 Calculate 1/(-4)*98*348/549927. -2/129 Calculate (146/57 - 2) + ((-414)/38 - 6017/(-547)). 2/3 Calculate (-2952)/(-40296) + 21*10/(-2415). -1/73 Evaluate 1*11 + (18 + (0 - 5))/(551/(-493)). -12/19 What is ((-501872)/(-542201))/((-28)/(-264))? 96/11 (213/(-1136))/(6435/3120) -1/11 Evaluate (-1)/((-2994)/1044 - (-8)/(-144)*3 - -3). 29 Evaluate 619444/464583*(93/(-4) + (0 - 0)). -31 Evaluate (239/478)/(11/(-66) + 41/264). -44 What is the value of 8/(125/(-63375)*104)? -39 Evaluate (-1090)/(-26) + (-12625)/(-164125). 42 (5 + 57/(-12) - (-105)/84)*(-11 + 5) -9 What is the value of (-3)/10 - (5386/(-360) + (-2355)/(-157))*-2? -2/9 What is 1 + 15 + 6 + 13 + (-44)/11? 31 What is -5067 - -4976 - (-40947)/450? -1/150 4914/7938*189/24 39/8 Calculate (-536)/21574*(-777)/(-222). -2/23 Calculate 94 - (62 - 17375/(-550)). 9/22 Calculate 312/(-1144) - (-408)/44. 9 What is 2821/(-806) - -1*292/(-8)? -40 What is ((-4)/19)/(162/(-90) - (-1378)/1060)? 8/19 Evaluate (1 - (-85)/(-25))*(20 + -25) - 13. -1 What is (-86633)/(-4226) + (-3510)/172? 4/43 Calculate 324/(-1458) + 1*(-62)/(-522). -3/29 ((624/56)/(-3) + 6)/(55/77) 16/5 (398 - 560)*(((-55)/10)/(-11))/(-1) 81 (3 + -2)*(0 + -11 - -6*68/(-51)) -19 What is the value of (14 + 15)/(-957)*(12 + 0 + 0)? -4/11 What is 64/(-176) + 16 + 973/(-77) + -43? -40 What is the value of (-43)/129 + (5856/(-864))/(2/12)? -41 (25895/(-370) - (-2 - 26)) + 27 - 30/(-2) 1/74 What is the value of ((-1473)/19640)/((-2)/(-2) + 0)? -3/40 What is -2 + 13 + ((-108)/(-90) - (-1334)/(-110))? 4/55 What is the value of (-19206)/3927 + (-24)/(-136) - -7? 16/7 (166/(-14) + 1)/((-2318)/133 + 16) 38/5 What is the value of (-988)/(-54834) - (-20997)/(-999) - (-675)/32? 3/32 32214/(-1976) - 30/(-2) - 5/(-4) -1/19 Calculate (-1722)/(-2460) + 278/(-340). -2/17 Calculate (-957)/11484*-14*48. 56 What is ((-28)/(-28))/(2/(-2))? -1 Evaluate (13 - (6 - 8))/((-1)/3*1). -45 1414/21*-18*(-33)/(-396) -101 What is (-1290)/(-16 - -59) - 416/(-14)? -2/7 What is (-14)/18*(-117 + 55760/476)? -1/9 Evaluate ((-13)/((-195)/27))/(-21 + (-6919)/(-330)). -54 What is the value of (456/133)/(-4) + (-7)/(-735)*6? -4/5 What is 3/((-12)/8) + -87 + 85 - (0 + 61)? -65 Evaluate 10 + (-352)/(-22) - (29 + -4). 1 Evaluate (388/12)/(1 - (8/(48/50) - 7)). -97 Calculate (-24)/(-63)*43785/(-45870). -4/11 392/28 + 1645/(-35) -33 What is (84/(-84))/(112/80 + 885/(-650))? -26 What is 20 - (240/144)/((-5)/6*(-39)/(-117))? 26 Calculate -13 - ((-6303)/99 + 49). 5/3 Calculate 6/8 - (23 - ((-11529)/(-532) - -1)). 8/19 What is the value of (2/(-9))/(214/(-19260)) - 57? -37 What is ((-5712)/(-14280))/((-9)/480)? -64/3 Evaluate 69750/175950 + 12/(-34). 1/23 (-9)/84*(60 + 3400/(-60)) -5/14 (343/266 - (-44)/209)*(-1)/(-3) 1/2 What is the value of (14 - 0) + -11 + 1403/(-1495) + -2? 4/65 What is the value of (1/(-1074))/(115/552*56/70)? -1/179 Evaluate 80/24 + 18469/(-8760) + (204/(-40) - -5). 9/8 (354/20)/((-26)/((-8710)/(-201))) + 21/(-6) -33 What is ((-1672)/(-55) - 12)*((-315)/(-18) - 15)? 46 Calculate 12/92*(-285)/(-855). 1/23 Evaluate (-5 + (-105)/(-20))*(-50 - -65 - -389). 101 Calculate ((-33)/(-12))/(10302303/(-26664)). -2/281 What is ((-94)/(-517))/((-35)/(-55))? 2/7 Calculate (-155)/((-35340)/(-2128)) - (4 + -18). 14/3 What is (11/572*4)/(240/312)? 1/10 What is the value of 1/15*(-652 + 608)/(24/15)? -11/6 Calculate (9/75 + 546/11700)/(-3). -1/18 Evaluate 283426/12870 - (11 - -2) - 9. 1/45 (-230806)/(-110519) - 7/(-21)*-6 - 12/174 2/103 (64484/(-3087))/(50/(-15) - -6) -47/6 Evaluate (-33)/(-1122)*34*13 + (-23)/2. 3/2 (-4*(-3)/(-14))/(-174*2486/16632 - -26) 108 What is (-208)/(-174) + (-508)/(-3683)? 4/3 Calculate ((-1132461)/6642)/((-11)/(-4)). -62 Calculate (-3)/(6/94) - (-35)/(315/72). -39 Calculate (-1)/(-47)*(-4)/(11*52/(-143)). 1/47 Evaluate (-154)/(-21)*206/824. 11/6 Evaluate (4610/33192)/((-1)/28) - (-3 + 1). -17/9 ((-820)/(-60) + -11)*108/48 - -53 59 Evaluate (60435/36261)/(1/42*5). 14 What is -22 + (-14 - (-4 - -8) - -14)/(-4)? -21 Evaluate (-98)/112*(1653/(-133) - -12). 3/8 Calculate -8*(10 + -10 + 943/(-184)). 41 (-1725)/(-135) - (-39)/(-3) -2/9 (-12)/(-14)*7658/1641*5/(-6) -10/3 Evaluate ((-12)/56)/((-2990)/182 + 17). -3/8 (22/((-8448)/(-3360)))/((-5)/(-44)) 77 Evaluate 2475/330*(3 + (-11)/(-3)). 50 Evaluate 220/(-108)*(-139)/(-278)*(-6 - 0) - 5. 10/9 What is -285*(-196)/(-1190) + 10/(-170)? -47 What is the value of (-3)/(-7)*2016/64*(-748)/(-198)? 51 6/99 - (-146)/(-12045)*-1975 24 Evaluate (-51546)/10366 + (11/22)/(-1*(-1)/10). 2/73 What is (-28)/4*(-18 - (-20 + (-272)/(-119)))*6? 12 Evaluate 261/19 - ((-411)/(-27) + 40/(-180)). -24/19 What is the value of -4*(-25256)/(-2706)*24/(-7)? 128 What is 180/(-33)*(34
{ "pile_set_name": "DM Mathematics" }
0 for c. 2 Solve -28*f = 48*f + 684 for f. -9 Solve -35*h + 30*h + 30 = 0 for h. 6 Solve 0 = -28*d + 89 + 51 for d. 5 Solve 37*m - 39*m = -2 for m. 1 Solve -873*q = -892*q + 133 for q. 7 Solve -18*b - 81 - 9 = 0 for b. -5 Solve -4*x + 1661 = 1693 for x. -8 Solve -313*f = -286*f - 189 for f. 7 Solve 7*p - 26 + 5 = 0 for p. 3 Solve -876*w + 6 = -873*w for w. 2 Solve 68 = 214*f - 231*f for f. -4 Solve 0 = f - 7*f + 12 for f. 2 Solve -92*w + 160 - 436 = 0 for w. -3 Solve 56 = -526*x + 518*x for x. -7 Solve 0 = -15*o - 7*o - 44 for o. -2 Solve 80 = -22*b - 8 for b. -4 Solve -8*v + 28 = 4 for v. 3 Solve 79*n + 396 = 13*n for n. -6 Solve -66*v = -74*v - 48 for v. -6 Solve 0 = 50*m - 158 - 142 for m. 6 Solve -86*w + 77*w + 27 = 0 for w. 3 Solve 87 = -45*w - 138 for w. -5 Solve 0 = 16*o - 7 - 73 for o. 5 Solve -6*k - 23 = -5 for k. -3 Solve 0 = -4*s + 40 - 20 for s. 5 Solve 12*t + 74 = 14 for t. -5 Solve -a - 152 + 154 = 0 for a. 2 Solve 62*r + 55 = 51*r for r. -5 Solve -8*t = 3*t + 33 for t. -3 Solve 71*a - 15 = 76*a for a. -3 Solve -302 = 23*q - 118 for q. -8 Solve -134*r = -96*r + 76 for r. -2 Solve 5*r - 8*r = 3 for r. -1 Solve 0 = 34*p - 23*p for p. 0 Solve -38*m - 57 + 399 = 0 for m. 9 Solve 0 = 11*b - 8*b + 3 for b. -1 Solve -6*z + 39 = 69 for z. -5 Solve -8*k + 231 = 287 for k. -7 Solve -2*s - s = 0 for s. 0 Solve 16*c - 10*c = -77*c for c. 0 Solve -14*l + 561 = 505 for l. 4 Solve -3*x - 1 - 2 = 0 for x. -1 Solve 21*w + 90 - 27 = 0 for w. -3 Solve 25 = -471*g + 466*g for g. -5 Solve 172*p + 134 = 105*p for p. -2 Solve 43*v - 41*v - 8 = 0 for v. 4 Solve -108 = 24*c - 6*c for c. -6 Solve 0 = 5*m + 26 + 4 for m. -6 Solve -441 + 435 = 3*i for i. -2 Solve 15*y - 1 = 14*y for y. 1 Solve -16*d + 42*d - 104 = 0 for d. 4 Solve -7*b - 6 = -b for b. -1 Solve 0 = -7*f - 10 + 3 for f. -1 Solve -65 = 15*g - 140 for g. 5 Solve -98*f - 78 = -72*f for f. -3 Solve -129 = -5*o - 89 for o. 8 Solve -59*s - 300 - 54 = 0 for s. -6 Solve -3*f = -202 + 205 for f. -1 Solve -25*x = -33*x - 8 for x. -1 Solve 0 = 4*c + 8 - 20 for c. 3 Solve 0 = 4*h + 197 - 213 for h. 4 Solve -56*j + 61*j = -20 for j. -4 Solve 0 = -2*n - 4 + 10 for n. 3 Solve -19*x = -28*x - 27 for x. -3 Solve l = 3*l - 7*l for l. 0 Solve 18*g - 16*g - 6 = 0 for g. 3 Solve -52*o = -8 + 216 for o. -4 Solve 15*w = 14*w - 4 for w. -4 Solve 0 = g + 6*g - 14 for g. 2 Solve 46 = -3*i + 43 for i. -1 Solve -25 = -x - 29 for x. -4 Solve -9*f - 14 = -2*f for f. -2 Solve -46*g - 83 = 101 for g. -4 Solve 88*h = 204 + 412 for h. 7 Solve -4*m = m + 3*m for m. 0 Solve -2*v - 3*v + 25 = 0 for v. 5 Solve -376 = -7*f - 348 for f. 4 Solve 20 = -5*d - 0 for d. -4 Solve 0 = -2*m + 1096 - 1100 for m. -2 Solve 39 = w + 44 for w. -5 Solve 0 = -3*i + 22*i + 152 for i. -8 Solve -459*o = -451*o + 32 for o. -4 Solve 0 = 4*f + 2 - 18 for f. 4 Solve 741 - 729 = -4*x for x. -3 Solve -3 = -6*h + 9*h for h. -1 Solve 72*v = 73*v - 6 for v. 6 Solve -11*t = -19*t + 48 for t. 6 Solve 7 = -7*a + 21 for a. 2 Solve -101*s + 94*s = 0 for s. 0 Solve 10 = -19*x + 17*x for x. -5 Solve 22*k - 6*k = 9*k for k. 0 Solve -84 = 20*v - 164 for v. 4 Solve -16 + 17 = -n for n. -1 Solve 77*q - 81*q = 0 for q. 0 Solve -9*u + 29 - 20 = 0 for u. 1 Solve 82 = 5*b + 77 for b. 1 Solve -2*z - 11 = -1 for z. -5 Solve 14*z - 16 - 68 = 0 for z. 6 Solve -941 = o - 946 for o. 5 Solve 0 = 28*k + 12*k for k. 0 Solve 5*a + a = -24 for a. -4 Solve 3*f + 5 = 14 for f. 3 Solve 0 = -94*b + 107*b - 65 for b. 5 Solve 0 = 4*v - 12*v + 24 for v. 3 Solve 0 = 3*g + 12*g - 45 for g. 3 Solve 4 - 4 = -13*r for r. 0 Solve -4*k - 4*k = 8 for k. -1 Solve 14*t = -t - 30 for t. -2 Solve -2*y = 18 - 14 for y. -2 Solve 0 = 20*n - 40*n + 20 for n. 1 Solve 90 = 92*f + 274 for f. -2 Solve 312 = 5*u + 322 for u. -2 Solve 37*v - 10 + 121 = 0 for v. -3 Solve -161 - 7 = 42*p for p. -4 Solve -12*z = -15 - 33 for z. 4 Solve -4*j + 851 = 827 for j. 6 Solve -112*y - 14 = -105*y for y. -2 Solve 1990*q - 1983*q = 14 for q. 2 Solve 6*k = 18*k - 72 for k. 6 Solve 0 = -2*i - 4*i + 24 for i. 4 Solve -3*v = 7*v - 10 for v. 1 Solve -16 + 40 = -4*s for s. -6 Solve 29 + 9 = -19*g for g. -2 Solve -49 = -4*q - 57 for q. -2 Solve -75*n = -60*n + 120 for n. -8 Solve 8*g - 20 = -4 for g. 2 Solve -277 + 394 = -13*v for v. -9 Solve -19*o + 11*o = -8 for o. 1 Solve -32*b - 45 = 19 for b. -2 Solve 8*u = 2*u + u for u. 0 Solve 0 = -18*u + 6*u + 36 for u. 3 Solve -16*r - 20 = -6*r for r. -2 Solve -633 + 545 = 22*b for b. -4 Solve 8 = 33*d - 25*d for d. 1 Solve 17*u - 2*u = 0 for u. 0 Solve 0 = 5*t - 4*t - 2 for t. 2 Solve 48*a = 61*a for a. 0 Solve 304*b - 12 = 316*b for b. -1 Solve -17*l + 10 = -7*l for l. 1 Solve 0 = -4*g - 2 + 22 for g. 5 Solve -48*h + 59 = -325 for h. 8 Solve 0 = -32*l + 582 - 422 for l. 5 Solve -53 = -8*r - 85 for r. -4 Solve -11 + 9 = -2*i for i. 1 Solve -7*q - 3 - 4 = 0 for q. -1 Solve -49 = -12*b - 169 for b. -10 Solve 23*r - 5 = 22*r for r. 5 Solve -369*o - 70 = -355*o for o. -5 Solve -2*f - 8*f = 50 for f. -5 Solve 109*c + 36 = 118*c for c. 4 Solve -2*b - 4*b = 36 for b. -6 Solve -28 + 8 = -5*d for d. 4 Solve 39 - 179 = -20*l for l. 7 Solve -6 - 12 = 18*z for z. -1 Solve 3*f = -0 - 6 for f. -2 Solve 3*a = -6*a for a. 0 Solve 0 = 223*q - 214*q for q. 0 Solve 11*h - h + 30 = 0 for h. -3 Solve 100*j = 111*j + 77 for j. -7 Solve -8*l + 13*l = 5 for l. 1 Solve 22 = 15*d - 38 for d. 4 Solve -8*c + 3*c = -25 for c. 5 Solve 25 = 6*m + 55 for m. -5 Solve 0*a + 11*a = -55 for a. -5 Solve 53*c = 61*c + 16 for c. -2 Solve -22 + 70 = 6*x for x. 8 Solve 5*x - 2*x + 12 = 0 for x. -4 Solve -11*p = -8*p for p. 0 Solve 3*z + 433 - 418 = 0 for z. -5 Solve 0 = 6*d - 8*d + 10 for d. 5 Solve -5*u = 4 + 16 for u. -4 Solve 0 = 5*v - 27 + 47 for v. -4 Solve 3*v + 31 - 22 = 0 for v. -3 Solve -69*k + 60*k + 18 = 0 for k. 2 Solve 2 = -5*g + 12 for g. 2 Solve 0 = -z - 88 + 92 for z. 4 Solve -288*w + 282*w = 12 for w. -2 Solve -26*s + 20 = -16*s for s. 2 Solve -27*n = -28*n for n. 0 Solve 0 = -56*y + 24 + 88 for y. 2 Solve 7*a = -35 - 7 for a. -6 Solve -29*z = -31*z + 8 for z. 4 Solve 6*k - 7*k = -11*k for k. 0 Solve -21*u = -26*u + 5 for u. 1 Solve 17 - 17 = -5*y for y. 0 Solve -2*w - 3 = w for w. -1 Solve 163*t = 157*t - 24 for t. -4 Solve 19 - 74 = 11*v for v. -5 Solve 0 = 28*h - 35*h - 14 for h. -2 Solve -t = -0*t - 4*t for t. 0 Solve -5 + 21 = 16*q for q. 1 Solve 117*l - 105 = 132*l for l. -7 Solve 4*r - 134 = -114 for r. 5 Solve -13*m + 10*m = -12 for m. 4 Solve 0 = 2*r + 22 - 16 for r. -3 Solve 30*h - 27 + 57 = 0 for h. -1 Solve -105 = -8*k - 13*k for k. 5 Solve -2 = -3*y - 8 for y. -2 Solve 34*f - 19*f = -75 for f. -5 Solve 0 = 17*r + 281 - 332 for r. 3 Solve 4*z - 17 = -13 for z. 1 Solve -1988*w + 1995*w = 14 for w. 2 Solve 5*j - 7*j - 6 = 0 for j. -3 Solve 6*n - 43 + 19 = 0 for n. 4 Solve 3*t - 12 + 27 = 0 for t. -5 Solve -54*l + 73 = -143 for l. 4 Solve 0 = 42*s - 40*s + 12 for s. -6 Solve 36 = -31*p + 25*p for p. -6 Solve -59*z + 5 = -60*z for z. -5 Solve -37*t - 10 = -39*t for t. 5 Solve -3*g - 12 - 6 = 0 for g. -6 Solve 11 = 27*p + 200 for p. -7 Solve 112 = -758*v + 730*v for v. -4 Solve 33*i = -28*i + 366 for i. 6 Solve 62 = -97*t + 35*t for t. -1 Solve -4*i - 10 - 6 = 0 for i. -4 Solve 7*h + 21 = 35 for h. 2 Solve -63 = -11*t - 10*t for t. 3 Solve 66 - 45 = -7*c for c. -3 Solve 25 = -5*x - 0 for x. -5 Solve 18 = 14*q + 4 for q. 1 Solve -79*q - 26*q + 420 = 0 for q. 4 Solve -4 = 113*l - 112*l for l. -4 Solve 0 = 7*h + 21 - 7 for h. -2 Solve -255*a = -257*a - 10 for a. -5 Solve 0 = 52*c - 126 - 186 for c. 6 Solve 3*t - 14 = 17*t for t. -1 Solve 5 = -44*s + 39*s for s. -1 Solve 23*o + 316 = -135*o for o. -2 Solve 367*o - 363*o - 16 = 0 for o. 4 Solve 0 = 9*o + 27 - 63 for o. 4 Solve -29*s = -31*s for s. 0 Solve 14*y = 9*y + 25 for y. 5 Solve -89 = w - 88 for w. -1 Solve 0 = -12*s - 78*s - 180 for s. -2 Solve 119*r = 14 - 14 for r. 0 Solve 14*w + 25 - 53 = 0 for w. 2 Solve 19*h - 10 = 21*h for h. -5 Solve 0 = 174*p - 44*p - 1040 for p. 8 Solve 10*s - 314 = -354 for s. -4 Solve -5 = -6*v + 19 for v. 4 Solve -1355*f + 76 = -1374*f for f. -4 Solve -3594 = 13*c - 3555 for c. -3 Solve 12*g = -28*g + 200 for g. 5 Solve -29*c + 32 + 171 = 0 for c. 7 Solve -53 = 36*g + 91 for g. -4 Solve 0 = 26*k - 41 - 63 for k. 4 Solv
{ "pile_set_name": "DM Mathematics" }
3474803 and -35. 236543474768 Total of -35222.08 and -94262115. -94297337.08 Work out -1582319 - -0.1654926. -1582318.8345074 Calculate 5 - -217.13038517262. 222.13038517262 What is the distance between -254927 and -26183772? 25928845 What is -0.04304 - 460156528.8? -460156528.84304 Add -538076233 and 3554. -538072679 -19092072957 - 3.8 -19092072960.8 -2058579 + 4257060 2198481 Subtract -221843478339 from -0.2. 221843478338.8 What is 345336.8 take away -64.947? 345401.747 Calculate -2449064492 - -120805. -2448943687 Add -53983 and -12.587177. -53995.587177 What is 161923 - -15201525? 15363448 What is 3265.36259793 less than 573? -2692.36259793 What is -74579736.8 minus -1.15? -74579735.65 -10022.278+70023422 70013399.722 What is the distance between -0.558556334 and 0.1? 0.658556334 What is 41897563752 less than -2.2? -41897563754.2 Calculate 235.54 - 7932874818. -7932874582.46 What is -19830108.4 plus -53.6? -19830162 Add 0 and 243295160409. 243295160409 Calculate 89 + -225.464392238. -136.464392238 What is 7707565585463 plus -2? 7707565585461 1104587+0.25394 1104587.25394 What is the difference between -4362694 and -1039797? 3322897 Work out -2225745 + -153.57966. -2225898.57966 Calculate 68664525984936 + 0.04. 68664525984936.04 Subtract 13.04893408149 from -1. -14.04893408149 Add together 2.43 and -0.053351580283. 2.376648419717 293080 - 109567 183513 -7.95173193837 - 0.3 -8.25173193837 Subtract -13970098310 from -355. 13970097955 What is 5613970029157 take away 0.4? 5613970029156.6 Work out -1742719.336 - -2. -1742717.336 Calculate -513620699328 - 0.2. -513620699328.2 What is 660197859540 take away -88? 660197859628 Sum -0.117 and 9823991386. 9823991385.883 What is 1480 less than -0.43120201? -1480.43120201 136659316 - -46760 136706076 What is 317 - 756663.0678? -756346.0678 What is -9.473741168 - 9305? -9314.473741168 Add together 6067344449 and 3.9. 6067344452.9 Calculate 1.401 - 5651042109.2. -5651042107.799 What is -965959.94 - 0.13597? -965960.07597 28271400 + 32.801 28271432.801 What is 12133181.2 - 48456? 12084725.2 Subtract 11015 from 30093931. 30082916 What is 9116567804 + -6? 9116567798 Put together 11 and -69587054692. -69587054681 What is 256107272 + -224.3525? 256107047.6475 What is -398 take away 1585622850? -1585623248 -11403.39 - 1906198.4 -1917601.79 What is -0.3510413 minus 2728605? -2728605.3510413 Subtract 128491 from -30053.06. -158544.06 Add together -2704 and -42952233.5. -42954937.5 What is -621.40871286 minus 0.31? -621.71871286 What is the difference between 5 and 195539.212389? 195534.212389 Add together -143406171240887 and -0.4. -143406171240887.4 Put together 0.0409758 and 421123. 421123.0409758 Total of 12951 and -4499392.36. -4486441.36 What is -52 - -850670979061? 850670979009 Sum -0.2 and 2457622096984. 2457622096983.8 Add -20812 and 0.4540147337. -20811.5459852663 Put together -24190 and 7160437. 7136247 What is 46791186 minus -6837.46? 46798023.46 Work out -16461856566 - -4. -16461856562 Total of 0.4 and 22378815692. 22378815692.4 What is -0.0466860239481214 + 2? 1.9533139760518786 What is -45740899.4 minus -0.07148? -45740899.32852 -891030 + -143.92006 -891173.92006 Work out -251409339 - 1514892. -252924231 What is 4530.56 less than -7.870137? -4538.430137 Sum -3 and -6108063544233. -6108063544236 Add -526.3 and 369565637. 369565110.7 Work out -16859 - -0.96609213. -16858.03390787 Add together -0.025365579 and 9.6025. 9.577134421 Add together -0.3 and -162150933.7184. -162150934.0184 What is -130233 take away -124155? -6078 What is the distance between -4386524941 and 0.11? 4386524941.11 Add together 55289504 and -176. 55289328 What is -1948 less than -78440273? -78438325 Calculate 23991488975291 - -0.2. 23991488975291.2 Put together 4669122800 and 0.06479. 4669122800.06479 What is 7848.8 minus 862042672? -862034823.2 What is the distance between -561 and -7326491957? 7326491396 Subtract -17 from -7675760917339. -7675760917322 Total of 396733 and 0.082054. 396733.082054 Work out 12.8745 + 3.0292818. 15.9037818 -339302018783+-0.1 -339302018783.1 What is -0.1475 - -102411094526? 102411094525.8525 Calculate 345.4 + 22775.84079. 23121.24079 -166366893+0.5385 -166366892.4615 What is -116.456896 minus 242.33? -358.786896 232814 + 1174.4082 233988.4082 What is 0.151817 minus 0.02536868? 0.12644832 Calculate 18429.268 + 1.582. 18430.85 What is the difference between 0.84 and 46475263870? 46475263869.16 What is 92238790373 plus 193? 92238790566 Work out 276729813646 + 3. 276729813649 12.752729662 + 67052 67064.752729662 Work out 1999 - 135539569646. -135539567647 Add together -235.2 and -131794796. -131795031.2 Work out -359041150 + 12. -359041138 Put together 37726575714567 and 0.3. 37726575714567.3 Work out 214842871 - 246491. 214596380 What is the distance between 16443 and -6387075912? 6387092355 2023 + 22060.3614 24083.3614 5.7448477+-12741.96 -12736.2151523 Total of 0.221761 and -5495260. -5495259.778239 What is the difference between -0.3 and -1548.3585181162? 1548.0585181162 Work out -740.355 + -607737418. -607738158.355 What is the distance between 0.1815507 and 570031? 570030.8184493 What is -12.19 plus -22032610962? -22032610974.19 Work out -2006 - 320.924625. -2326.924625 Work out 3138050 + -22420503. -19282453 Work out -1937 - 2044384193. -2044386130 What is the distance between 73830.8 and 25832025? 25758194.2 -11571897.97 - 0.152 -11571898.122 -0.0315838 - 0.01953666 -0.05112046 Calculate 65.997872 - 242489. -242423.002128 What is 0.151 + 2590806.12506? 2590806.27606 Subtract 31334 from -1881594. -1912928 Sum -3626 and 11081724.205. 11078098.205 4+-49920.155962 -49916.155962 Work out -55673064 - -24398. -55648666 -25713427880+40 -25713427840 What is -6 - -939891673969? 939891673963 What is 34 plus 29062781298914? 29062781298948 -110.41 + -100269.98 -100380.39 Calculate -121342 + 0.060058547. -121341.939941453 Put together 2 and -50.00479872242. -48.00479872242 Add together 0.138727119 and 0.060704. 0.199431119 Add together 1029298.516 and -1.514. 1029297.002 Calculate 23019.68737 + -821. 22198.68737 What is 0.12312421934 - 50.9? -50.77687578066 Subtract 870569 from -325293. -1195862 Subtract -943545614 from -126. 943545488 Work out -4.509 - -50696241267. 50696241262.491 Put together 3129834 and -11.75. 3129822.25 -11979604740538+14 -11979604740524 161 - 658954855 -658954694 Add 114920.96 and -2232430. -2117509.04 11355.7+-433631.3053 -422275.6053 Put together 3668.5991 and -615. 3053.5991 What is 1.63811663 less than -0.6093? -2.24741663 Put together -0.02870233 and 537874. 537873.97129767 Work out -722.9764419302 + -9. -731.9764419302 -1085301142095 + 11 -1085301142084 Calculate -0.083926612243 + 4. 3.916073387757 Work out -87 - 3161188.873499. -3161275.873499 Work out 0.064460406 - -830991. 830991.064460406 Calculate 706 + -212791758781. -212791758075 What is -4 minus 167431967553? -167431967557 What is the distance between 1311911929 and 118? 1311911811 Total of 0.44629785838 and 0.86. 1.30629785838 What is the difference between -1442.02 and -0.24749909? 1441.77250091 What is -923578748 plus 0.37024? -923578747.62976 What is 15874.35276952 plus 0.4? 15874.75276952 Calculate 0.7478496 - 0.04125082. 0.70659878 Put together 1.893251359 and -102. -100.106748641 What is 0.3 take away -0.0423073234903? 0.3423073234903 Work out -0.7964 + -2508707771. -2508707771.7964 What is -16465.5425 take away -4.2973? -16461.2452 What is 259099770.63 + -1987? 259097783.63 What is -0.2 - 9054156.87102? -9054157.07102 What is -8 minus -338730.8315? 338722.8315 0.1422 + -19457521144 -19457521143.8578 5 + -16142492793363 -16142492793358 What is -7.21 - -7100095928? 7100095920.79 What is the difference between 85200988287 and 51? 85200988236 What is -0.387455 plus 4261.90834? 4261.520885 What is -1467518 minus -19.24213? -1467498.75787 Calculate -66116 + -14896862.29. -14962978.29 -11676.6 + 404358 392681.4 What is -1.7 + 0.00377520079? -1.69622479921 What is -52002354 take away -1426? -52000928 -0.097816443126 + -239 -239.097816443126 Add together -342 and 118559002765. 118559002423 Calculate 5270085.6 - 597283. 4672802.6 What is -2965464911 minus 2361? -2965467272 Subtract -201.460029 from -575. -373.539971 Wha
{ "pile_set_name": "DM Mathematics" }
-2*x + x = -52. Suppose 2*z + 10 = x. Suppose 0 = -4*w + z + 11. Calculate the remainder when 38 is divided by w. 6 What is the remainder when ((-27)/(-5))/(906/1510) is divided by 1? 0 Suppose -4*c + 432 = -15*k + 19*k, -3*k = -5*c + 540. Let s(u) = -u**2 - 21*u - 29. Calculate the remainder when c is divided by s(-16). 6 Let c(w) = w**3 - 20*w**2 + 5*w - 9. Calculate the remainder when 512 is divided by c(20). 57 Let z(h) = -2*h**2 - 27*h + 138. Calculate the remainder when 152 is divided by z(-17). 0 Let m(w) be the second derivative of w**5/5 + w**4/12 + 7*w**3/6 - 27*w**2/2 - 84*w. Calculate the remainder when m(3) is divided by 38. 35 What is the remainder when ((-8)/50)/2 - (-36885)/125 is divided by 8? 7 Suppose 0 = -4*i - 4*x + x + 58, -4*x = 8. What is the remainder when 909 is divided by i? 13 Let g(z) = z**3 + z**2 + 1. Let a(f) = 2*f**3 - 5*f**2 - 20*f - 8. Let n(x) = a(x) - 3*g(x). What is the remainder when n(-7) is divided by 45? 35 Let m(h) = -402*h - 3408. What is the remainder when m(-11) is divided by 11? 2 Let u be ((-4)/(-6) + -1)/(10/60). Let f be (2 + -2)/(2 + u/2). Suppose -k + f*k + 80 = 5*x, k = 3*x - 40. Calculate the remainder when 87 is divided by x. 12 Suppose -14 = 5*y - 59. Let z(v) = v**2 + 2*v - 5. Let m be z(-3). Calculate the remainder when y is divided by ((-40)/(-25))/(m/(-10)). 1 Suppose 0 = 9*f + 81340 - 81412. What is the remainder when (-4)/14 + 410/14 is divided by f? 5 Suppose -82 = 3*j + l, j + 3*l = -18 - 20. Let v = j + 51. Calculate the remainder when 138 is divided by v/2 + 21/14. 12 Let d be 4/(-2) - (1 + 0). Let a = 46423 - 46417. What is the remainder when 82/d*(2 + -5) is divided by a? 4 Suppose 3*r - 5*r + 32 = 0. Let c = 82 - 72. What is the remainder when 1 + (285/c - 2/(-4)) is divided by r? 14 Let z = 8081 + -6777. Calculate the remainder when z is divided by 87. 86 Suppose -65 = -6*x - 683. Let a = x + 115. Calculate the remainder when 35 is divided by a. 11 Suppose -68*r = 71*r - 164*r + 34600. What is the remainder when r is divided by 688? 8 Let b(u) = 35836*u**3 - 35835*u**3 - 15 + 43 - 8*u. What is the remainder when b(6) is divided by 101? 95 What is the remainder when 15181 is divided by 5375/344 + 6/(-32)*(-6 + 4)? 13 Let l(s) = s**2 - s + 35. What is the remainder when l(15) is divided by 50? 45 Let k = 977 - 530. What is the remainder when k is divided by 90? 87 Let w be -4 - -6 - (-6)/1. Suppose -140 = -w*l + 3*l. Suppose -3*p - 7*s + 82 = 0, -13*p - 20 = -18*p + 5*s. Calculate the remainder when l is divided by p. 6 Let g = 18709 + -15866. What is the remainder when g is divided by 931? 50 Let n = -240852 - -240897. Suppose -3*s = 2*s - 1105. What is the remainder when s is divided by n? 41 Let h(f) be the third derivative of -7*f**4/24 + 43*f**3/6 - 141*f**2. Calculate the remainder when 71 is divided by h(4). 11 Suppose 3*a - 6*a = 5*q - 1096, 0 = 2*q - a - 434. Suppose 4*m - q = -3*t - 24, 58 = m - 4*t. Calculate the remainder when m is divided by 18. 14 Let m = 242 + -193. Suppose 54*j = m*j + 95. What is the remainder when 130 is divided by j? 16 Let b(f) = f**2 - 2*f + 16. Let s be 30/8 + 10/8. What is the remainder when 59 is divided by b(s)? 28 Let r(b) = 172 + 46*b - 74 + 7*b**2 - 81. What is the remainder when r(-8) is divided by 11? 9 Suppose 0 = -s - 5*w - 9, -5*w - 17 = 4*s - s. Let v be (1 + 2)/((-6)/s). Calculate the remainder when -5 + v + -3 + (-96)/(-2) is divided by 11. 9 Let y(q) = q - 31. Let f(b) = 1. Let s(t) = -4*f(t) - y(t). Calculate the remainder when 76 is divided by s(7). 16 Let p be -5 + 6 + 5/(-5). Suppose p*b - 3*b - 1357 = -5*s, -4*s - 4*b = -1060. What is the remainder when s is divided by 45? 44 What is the remainder when 1573 is divided by (795/20 + 6)*(-28)/(-21)? 48 Suppose -s + 4*s + 573 = 0. Let h = -423 - s. What is the remainder when 109 is divided by 108/(-162) + (-1 - h/6)? 35 Suppose -9*d + 7235 + 127 = 0. What is the remainder when d is divided by 21? 20 Let y(i) = -2074*i - 12643. What is the remainder when y(-13) is divided by 80? 79 Suppose -2*f - i = -252, f - 119 = 2*i + i. Suppose -22*t + 21*t = -3*b + 86, 0 = -5*b - 2*t + f. Calculate the remainder when 296 is divided by b. 26 Let o = 107 + -261. Let z = o - -207. Calculate the remainder when z is divided by 27. 26 Suppose 2051 - 583 + 1268 = 171*a. Calculate the remainder when 5163 is divided by a. 11 Let d be 6*12*(-1 - 0). Suppose -7*n - 503 = -195. Let z = n - d. What is the remainder when 110 is divided by z? 26 Suppose -143*m + 415918 = -42*m. Calculate the remainder when m is divided by 13. 10 Let l = 349 + -205. Let j = l - 86. Suppose -m = -o - 0*m + 19, 3*o + 5*m = 73. Calculate the remainder when j is divided by o. 16 Let o(j) = -j**2 + 19*j - 35. Let l(t) = 4*t**2 + 21*t - 4. Let c be l(-6). Let y(k) = -4*k - 7. Calculate the remainder when o(c) is divided by y(-5). 9 Let i(q) = q**2 + 15*q - 1503. What is the remainder when i(34) is divided by 108? 55 Let i(j) = 9*j + 27. Let a be i(-3). Suppose 5*g + 146 = 3*q - 696, 5*g - 25 = a. Let d = -178 + q. Calculate the remainder when d is divided by 16. 15 Let w be 2/(-3) - 700/(-42). Suppose w = 4*y - 36. Calculate the remainder when y is divided by 9. 4 Let o(y) = -25*y - 70. Let r(v) = -2*v - 2. Let c(j) = -2*o(j) + 30*r(j). Calculate the remainder when 172 is divided by c(6). 12 Let s be 20*-2*4/(-8). Suppose -s = -4*o + 44. Suppose 6*r = 677 + 73. Calculate the remainder when r is divided by o. 13 Suppose -11*k - 150 = -8*k. Let l = -93 + 66. Let d = l - k. What is the remainder when d is divided by 12? 11 Let a = -17136 - -17169. What is the remainder when 6136 is divided by a? 31 Let a(i) = -i**3 - 11*i**2 - 5*i - 53. Let n be a(-11). Let p = 17 + 5. What is the remainder when ((-654)/(-42))/((n/(-2))/(-7)) is divided by p? 21 Suppose -2*p + 489 = h, 32*p + 2*h - 484 = 30*p. Suppose 3*o - 385 + p = 0. What is the remainder when 177 is divided by o? 39 Let i = 1 + 11. Let g = -54 - -72. Suppose -2*m + 74 = -g. What is the remainder when m is divided by i? 10 Suppose -n - 40 = -5*k, -4*n - 4*k - 12 - 124 = 0. Let z = n + 39. Suppose 2*p - 1 = 3*p + z*j, 53 = 4*p - 3*j. What is the remainder when 32 is divided by p? 10 Suppose 0 = -46*h + 20*h + 11596. What is the remainder when h is divided by 51? 38 Suppose 0 = -3672*z + 3677*z - 105. Calculate the remainder when 260 is divided by z. 8 Let a = 1361 + -1338. Suppose -z - 3*i = -62, 5*i = -0*z + 3*z - 144. Calculate the remainder when z is divided by a. 7 Let z = -173 + 161. What is the remainder when (-2 + (-6)/z)/(1/(-8)) is divided by 4? 0 Calculate the remainder when 586 is divided by (-135)/(4*12/(-32)). 46 Calculate the remainder when (-33)/(-22)*1/((-6)/(-1988)) is divided by 242. 13 Let b(r) = r**3 - 6*r**2 + 13*r - 5. Let j = 486 + -481. What is the remainder when b(j) is divided by 13? 9 Suppose 3*o - 13 = 932. Suppose 5*j + 3*g = 526, -3*j + 7*g + o = 9*g. What is the remainder when j is divided by 10? 7 Let h = 50 - -53. Let p(o) = -2*o**3 - 173*o**2 - 91*o + 185. What is the remainder when p(-86) is divided by h? 100 Suppose 5*t = o - 256, 2*o + 2*t - 33 = 443. Let m(s) = -s**3 - 35*s**2 + s + 62. What is the remainder when o is divided by m(-35)? 25 Suppose -5*p - 5*r + 15 = 0, -5*p - 4*r + 17 = 2. Let x be 1*p/(3/10). What is the remainder when 1142/x + (-4)/20 is divided by 29? 27 Let j(f) = -f**2 + 7*f - 3. Let o be j(6). Let c(w) = -5301*w + 10*w**2 - 3 + 2652*w - 1 + 2650*w. What is the remainder when c(o) is divided by 31? 27 Calculate the remainder when 2246 is divided by (-6 + (-900)/54)/(2/(-66)). 2 Suppose 3*y + 5*f = 342, 2*y + 2*y = f + 433. Let h = 249 + -173. Let v = y - h. Calculate the remainder when 96 is divided by v. 30 Suppose 0 = 2*x + 23 - 9. Calculate the remainder when 9 is divided by (-1)/((-2 - x/4)*2). 1 Suppose 14163 = -30*k + 106473. Calculate the remainder when k is divided by 54. 53 Suppose -3*v + 44 = -2*o - 13, 3*v + o - 66 = 0. Suppose -5*f = -2*t - 3341, 4*t + 23 - 11 = 0. Let s = -563 + f. What is the remainder when s is divided by v? 20 Let f be 64/34 - 42/(-357). Let y(h) = 11*h**2 - 11*h + 23. What is the remainder when 134 is divided by y(f)? 44 Suppose 12 = -3*q, -4*t + 190 = -3*q + 126. Let k(d) = 4*
{ "pile_set_name": "DM Mathematics" }
(-192) Simplify h**(-7)/(h*h**(-5))*h**8*h*h*h/(h*h/((h*h**(-19))/h)) assuming h is positive. h**(-13) Simplify (a**(3/8)*a)**(-1/31)*(a/(a*((a*a**(7/6)/a*a)/a)/a*a)*a)/a**33 assuming a is positive. a**(-24709/744) Simplify (v/(v*v*(v/v**(-2))/v))**(30/13)/(((v/v**0*v)/v)/v)**(-7/10) assuming v is positive. v**(-90/13) Simplify ((a**(-12)*a)**6)**(-38) assuming a is positive. a**2508 Simplify (y*y*y*y**(-1/48)*y*y**(-24))**(-30) assuming y is positive. y**(4805/8) Simplify (q*q**11)/q*q*q**7*q*(q**(-6/5)/q)/q*q*q**(-5) assuming q is positive. q**(64/5) Simplify (v/(v*v**(1/4)*v*v))**(-2/47)/(v**(3/5))**1 assuming v is positive. v**(-237/470) Simplify (d*d**(-4)*d*d/(d**(-12)/d))/(d**(-9)/d**(-6)) assuming d is positive. d**15 Simplify (r*r**(17/3)*r*r**8)/(r/r**(-10))**10 assuming r is positive. r**(-283/3) Simplify (v*v**(2/7))**(-3/50)*v**(-1/4)/v**(-2) assuming v is positive. v**(1171/700) Simplify (t**(-29)/t*t**(-34)/t)/(t**(-3/5))**15 assuming t is positive. t**(-56) Simplify l**19/((l/(l/(l*l**(-4))))/l)*(l/(l*l**(17/3)))/((l*l*(l**5*l)/l*l)/l) assuming l is positive. l**(31/3) Simplify ((o**(-3))**(-22))**(1/11) assuming o is positive. o**6 Simplify (t*t**(-1/16))**(-3)/(t**(-5/8)/t)**1 assuming t is positive. t**(-19/16) Simplify (p**(-8)/((p**(-11)*p)/p))/((p*p**(-15)*p)/p*p**(-4)) assuming p is positive. p**21 Simplify ((x**(3/10)/((x*x/x**(-1))/x))**(-44))**(2/35) assuming x is positive. x**(748/175) Simplify u**(-8)/(u*(u/(u**(-6)*u))/u)*(u*u/(u/u**8))/u*u**(-10) assuming u is positive. u**(-16) Simplify ((h**0*h/(h/(h/((h*h**(-3))/h))))/(h**3*h*h**(2/15)))**(-2) assuming h is positive. h**(4/15) Simplify r**9/(r*r**(2/9))*(r/(r*r*r**(-2/3)*r*r))**(-5/8) assuming r is positive. r**(665/72) Simplify b**23*(b/(b*b**(-2/71)))/b*(b**(-1/10))**(4/31) assuming b is positive. b**(242278/11005) Simplify y**(-10)*y*y/((y*y**(-5))/y)*((y/(y**4/y))/y)/y*y/y**(-1) assuming y is positive. y**(-5) Simplify (o*((o*o/(o*o**3*o))/o)/o*o*o*o**(3/2)*(o/(o*o**(1/5)*o))**(-1))**26 assuming o is positive. o**(91/5) Simplify (h/(h/h**(-2)))**32/(h/(h**3*h)*h*h**8) assuming h is positive. h**(-70) Simplify (k*k**11)**35*(k*k**(-23))/(k*k**(3/7)) assuming k is positive. k**(2776/7) Simplify (f**(-6)/((f**(2/29)*f)/f))/((f/f**(1/3))/(f/f**(-2/5))) assuming f is positive. f**(-2321/435) Simplify (q**(-1/7)/(q*q**(-6/11)/q*q))/(q**7)**(-43) assuming q is positive. q**(23131/77) Simplify ((k/((k*k*k**(-7/2))/k))/(k/(k**(-12/7)*k)))/(k/k**(2/3)*(k/(k*k**(2/11)*k)*k)/k) assuming k is positive. k**(1217/462) Simplify (h*h**(-9)/h)/(h**(-17)/h)*(h/(h/(h/(h**(-1/5)*h))))**(2/29) assuming h is positive. h**(1307/145) Simplify (g**(-1/3))**(-8/5)*g**(2/9)*g**10 assuming g is positive. g**(484/45) Simplify ((r*r**(-5))/r*r)**(-4/17)/(r**(-4)*r)**(-7/3) assuming r is positive. r**(-103/17) Simplify ((h**(-3/10)/h)/h**(-5/3))/((h**(4/7)*h)/h*h*h*h)**(-21/5) assuming h is positive. h**(461/30) Simplify ((w**(-27)/w)/(w/(w*w**27)))**(-3/28) assuming w is positive. w**(3/28) Simplify p**(-2)/p**(1/3)*p/(p*p*p**(-5/7))*p**(-4) assuming p is positive. p**(-139/21) Simplify (g**(1/10)*g)/(g**(-3/16)*g)*g**2/(g**(-1/7)/g) assuming g is positive. g**(1921/560) Simplify ((j**(-7)*j)**(-31))**(-3/11) assuming j is positive. j**(-558/11) Simplify ((j**(-3/5)*(j**(-3)/j)/j)/(j**5/j**(-1/5)))**47 assuming j is positive. j**(-2538/5) Simplify ((((y**(-10)/y)/y*y)/y)/y)/(y**(-4/5)/y)*y**6/((y*(y*(y/y**(1/3))/y)/y)/y) assuming y is positive. y**(-73/15) Simplify (b**14)**21*b**(-26)/b**(-1/4) assuming b is positive. b**(1073/4) Simplify (p**(-5)/p)**(-14)/(((p*p/p**(-5/3)*p)/p)/(p/(p*p**(-12/11)/p))) assuming p is positive. p**(2720/33) Simplify ((((j**(-2/15)*j)/j)/(j**(5/2)*j))/(j/j**(-2))**42)**49 assuming j is positive. j**(-190561/30) Simplify (((h**4)**(6/7))**(-4/5))**(-9/11) assuming h is positive. h**(864/385) Simplify o**0/o*(o/(o**(-4/3)*o)*o)/o*(o/o**(-3/7))/(o*o**(3/2)*o*o) assuming o is positive. o**(-115/42) Simplify (q**(-23)*q*q/q**(-2/39)*q)**(-14/9) assuming q is positive. q**(10892/351) Simplify q**(-3/13)/q**(-6)*q*q*q*q/(q/((q*q**(-20)*q)/q))*q**(-13) assuming q is positive. q**(-302/13) Simplify k*k**28*k**(-8)*(k/(((k*k**(-14)*k)/k)/k))/k**(-26) assuming k is positive. k**62 Simplify (((c**(-1/4))**2)**(4/33))**48 assuming c is positive. c**(-32/11) Simplify (y**(2/57)/y)/(y/((y*y**(-5/4)*y)/y))*(y**(-22)*y)**38 assuming y is positive. y**(-182449/228) Simplify ((r*r**(2/67))/r)/(r/r**(2/9))*r/(r*r**(-24)*r)*r/(r/r**(-2/3)*r) assuming r is positive. r**(12413/603) Simplify (y**(-2))**(-14/15)/((y*y**(-1/3)/y)/y**14) assuming y is positive. y**(81/5) Simplify (((k/(k*k*k**(-12)*k*k))/k)/k)**1/((k/(k/(k**1*k*k)*k))/k*k*k*k*k)**(-7/5) assuming k is positive. k**14 Simplify n**(-7)/n**12*(n**(5/2)/n)**(-1/10) assuming n is positive. n**(-383/20) Simplify (s**(8/11)/(s**(-15)*s))**(-2/49) assuming s is positive. s**(-324/539) Simplify (((k*k**0*k)**2)**26)**(3/7) assuming k is positive. k**(312/7) Simplify (u**(2/29)*u)/u*u**2*(u/u**(-2/5))**(-43) assuming u is positive. u**(-8429/145) Simplify ((w**(11/4)*w)/(((w/(((w*w**(3/7)*w)/w)/w)*w)/w)/w))/(w**(-5)*w*w*(w/w**(1/23))/w*w*w) assuming w is positive. w**(3363/644) Simplify (q**(-2/3))**(-45)*(q/((q*q*q**5)/q))/(q/(q*q*q**(-4/5))) assuming q is positive. q**(126/5) Simplify (u**4*u*u**(-4)/u*u**(-1/4)/((u*u*(((u**1/u*u)/u)/u)/u)/u))**(-11) assuming u is positive. u**(-33/4) Simplify (p*p**(-1/4)*p**(-15))/(p/(p*p**1))**(4/11) assuming p is positive. p**(-611/44) Simplify (d**(2/13)*d**21)/(d**(-2/3)*d*(d/d**(2/47))/d*d*d*d) assuming d is positive. d**(32743/1833) Simplify (((g*g*g**(-2/5)/g*g)/g)/((g/((g*g/(g*(g*g**8)/g))/g))/g))/(g**(-2/17)*g/g**(-3/4)) assuming g is positive. g**(-3071/340) Simplify ((j**(-2)/j**1)/(j**(-1/3)/(j*j**5)))**3 assuming j is positive. j**10 Simplify (j*j/(j*j**7*j)*j*(j/j**(1/13))/j*j*j**(2/5)/(j/(j**(-4/9)/j)))**30 assuming j is positive. j**(-8332/39) Simplify (w/w**(1/31))/w**(6/5)*w**20*w**(1/15) assuming w is positive. w**(9223/465) Simplify ((o*o/o**(-1/16))/o**(-32))**(34/3) assuming o is positive. o**(9265/24) Simplify ((h*h*h**(-2/51))/(h/h**(1/4)))/(h**14/(h/(h/(h**(-3/2)/h)))) assuming h is positive. h**(-3119/204) Simplify (j/j**(-13))**37*(j*(j*j/(j/j**(-17)*j)*j)/j*j)/(j/((j*j*j*j**5*j)/j)) assuming j is positive. j**510 Simplify ((x**(-1/2)*x*x/(x**(-10)*x*x))**(-3/7))**(-9/5) assuming x is positive. x**(513/70) Simplify ((q**2/(q**(-6/11)*q))**(1/25))**(4/5) assuming q is positive. q**(68/1375) Simplify s/(s*s*s**(-2)*s)*(s*s**(2/9))/s*s*((s*s**(-6))/s)**(-38) assuming s is positive. s**(2063/9) Simplify ((z*z**(9/4)/z*z/z**(-1/5))**(2/11))**(-3/8) assuming z is positive. z**(-207/880) Simplify (q**(-14/5)/(q/(q/(((q**(1/11)/q)/q)/q))))**(-2) assuming q is positive. q**(-12/55) Simplify ((d/((d/(d**(-7)/d))/d))/((d/d**(2/13))/d)*d*d**(-3)*d*d*d*d**0)**(-2) assuming d is positive. d**(152/13) Simplify (z**25*z**16*z)/(((z/z**(-11/2))/z)/z**(4/3)) assuming z is positive. z**(227/6) Simplify (h**(-1/23)*h)/((h**(2/25)*h*h*h)/h*h)*(h/(h*h/(h/((((h**(-1/11)*h*h*h)/h)/h)/h))))/(h*h**(-26)) assuming h is positive. h**(145269/6325) Simplify (k**(4/3)*k**(1/4))**(-11) assuming k is positive. k**(-209/12) Simplify (v/(v/(v/v**(-5))))**43/(((v**8*v)/v)/v*v*v*((v/(v**11*v))/v)/v) assuming v is positive. v**262 Simplify (((b/(b*b/((b**(2/7)/b)/b))*b)/b*(b*(b/(b/(b/b**(-1/8))))/b*b*b)/b)/(b**(1/4))**(-13/5))**(-26/7) assuming b is positive. b**(-221/980) Simplify (l**(-1))**(-49)*(l**(5/4))**21 assuming l is positive. l**(301/4) Simplify ((b/(b/b**1))**10/(b*b**(1/14)*b*b*b/(b*(b**(-2/41)/b)/b)))**(38/3) assuming b is positive. b**(53219/861) Simplify (j**(-5)/j**(-10))/(j**(1/3)/j**17) assuming j is positive. j**(65/3) Simplify ((v/v**(-5)*v)/v)/(v/(v*(v*v*v*v/(v/(v**(-1/7)/v)))/v*v))*(v/(v*v/(v*v*v**(-2))))**(-3/7) assuming v is positive. v**(58/7) Simplify (t/(t**(-2/5)/t))**25/((t/(t/(t*t**(2/5))))/(t/t**(-2/43))) assuming t is positive. t**(12824/215) Simplify ((c*c**(-1)/c)**9*c**(-1/14)*c**(-2)/c)**(-10/3) assuming c is positive. c**(845/21) Simplify ((t**(-23)/t)/t*t*t**(-16))/(t*t**(-27)*t*(t*t*t**(-9))/t*t) assuming t is positive. t**(-8) Simplify (w*w**(1/5))/(w*w*w
{ "pile_set_name": "DM Mathematics" }
/(-7)*(-24)/3*-7. -16 Calculate (2/198*-9)/(-1). 1/11 Evaluate (-12)/72*(-5)/(-5)*-30. 5 (-175)/(-70)*48/4*1 30 Calculate ((-14)/(-70))/((-11)/(-55)). 1 What is 1/(126/4)*(-6)/((-84)/98)? 2/9 What is 7541/(-15082)*(2/(-4))/(1/8)? 2 (2/2*(0/13)/7)/(-4) 0 (11/((-792)/60))/((-3)/(-4)*-5) 2/9 What is the value of (9/(-486)*-9)/(6*(-2)/(-80))? 10/9 Evaluate 3*2*49/(2254/(-115)). -15 Evaluate (-3)/13*11/6*(-1928)/(-5302). -2/13 Calculate 13/(1820/460)*-7. -23 (44/(-10))/((-140)/350) 11 ((15/(-50))/((-128)/(-240)))/(15/140) -21/4 Evaluate 30*((-4)/(-15))/(48/(-144)). -24 Evaluate 2016/528*(-2)/(-7). 12/11 165/(-132)*3/(-6) 5/8 What is (-21)/(504/(-32))*12/32? 1/2 (228/(-19))/(((-726)/(-3))/11) -6/11 Calculate ((-26)/(-3)*57/190)/((-2)/5). -13/2 (202/(-303))/(2*8/(-3)) 1/8 What is the value of (28/231*1)/((-3)/9)? -4/11 Evaluate (-6*(-6)/(-45))/(49/((-245)/34)). 2/17 (-16)/(-252)*(-63)/(-54) 2/27 1*(-63)/42*-2 3 Evaluate (-1025)/123*(-9)/15. 5 Calculate (-17)/((-68)/24)*(-12)/(-6). 12 What is the value of (67/(-402))/((14/54)/7)? -9/2 What is the value of -12*9/(-135)*10? 8 (3*(-13)/(-156))/(-1) -1/4 What is the value of ((-41)/(-164))/(((-14)/160)/(-7))? 20 (((-6)/(-84))/((55/50)/11))/(-1) -5/7 What is ((-81)/(-12))/(((-1242)/(-72))/23)? 9 Evaluate 66/(-77)*(-2821)/(-62). -39 (2/(60/26))/((-386)/(-1930)) 13/3 What is the value of (-1617)/63*(-24)/56? 11 Calculate (-4*(-2)/660*5)/(33/121). 2/9 Calculate ((-32)/16)/(-2)*1*-3. -3 Calculate (-1)/10*-5*30/(-9). -5/3 Evaluate (-3024)/324*(-36)/(-21). -16 What is the value of ((-232)/522)/((-60)/(-54))? -2/5 Evaluate ((-1)/3*4/2)/((-104)/(-468)). -3 What is the value of 270/35*56/(-24)? -18 Calculate (18/4)/(((-10152)/(-240))/(-141)). -15 (-144)/(-120)*-1*(-10)/14 6/7 Calculate (-3)/((-6*4/48)/((-2)/(-150))). 2/25 732/(-6222)*2/4 -1/17 Calculate ((36/(-24))/(9/(-6)))/((-3)/3). -1 30/(-25)*(-6)/(-12) -3/5 What is 944/(-3304)*(-119)/2? 17 What is the value of ((-9)/(-126))/((-16)/64)? -2/7 Evaluate (2/(-3))/((-26)/(-195)). -5 What is (2/4)/(((-21)/14)/(13*3))? -13 Evaluate ((-11)/((-4147)/(-39)))/((60/(-8))/5). 2/29 What is the value of (-1)/5*-5*190/70*7? 19 What is the value of (-54)/450*5*(-1)/1? 3/5 Evaluate (1/2)/(4*(-23)/2024). -11 Calculate 19/(950/15)*30/3. 3 Calculate (6/(-5))/(((-48)/84)/(16/56)). 3/5 What is 1*0/(-2)*1079/4316? 0 Calculate (128/576)/((-40)/36). -1/5 Evaluate ((-90)/(-4))/((-3695)/(-4434)). 27 Evaluate (-20*3/(-15))/((-20)/(-3)). 3/5 Calculate 38/76*12/(-3). -2 Calculate 3/((-23)/((-322)/(-6))). -7 What is the value of (260/182)/(9/(-63))? -10 What is (-14)/15*18/21*20/(-64)? 1/4 (-4)/(((-132)/11)/(-36)*4)*9 -27 What is the value of (3740/30)/(-17)*9/6? -11 Evaluate (-7)/(231/(-44))*(-6)/68. -2/17 What is 1/(((-336)/(-35))/8)*-6? -5 Evaluate ((-11)/(-176))/(1/(-2))*(-980)/70. 7/4 (-3)/(6/10)*56/(-1680)*18 3 What is 33/(-55)*5/93? -1/31 (-6)/4*(-2346)/207 17 What is the value of ((-35)/(-4))/(-145*(-26)/12064)? 28 What is (-21)/(-4)*9880/(-1482)? -35 What is the value of 1132/22640*1*-2? -1/10 Calculate ((-12)/9*22/(-88))/((-38)/2850). -25 Evaluate ((-17690)/(-191052))/((-5)/12). -2/9 Evaluate (-7)/2*2/5. -7/5 What is the value of (-42)/(-7)*(-7)/(-28)? 3/2 What is 49/14*1*(-6)/(-9)? 7/3 What is the value of ((9/3)/6)/(117/(-2106))? -9 (11/((-55)/6))/((-9)/(-60)) -8 Evaluate (57/532)/((-13)/(52/15)). -1/35 What is the value of ((-1)/3*(0/4)/14)/(-1)? 0 Evaluate (-2*(-2)/36)/((-79)/(-13509)). 19 What is the value of (-5)/(((-12)/(-30))/(8/(-10)))? 10 (3/3)/((-23)/184) -8 What is 8/20*(-63)/(-28)*25/15? 3/2 Calculate 2745/(-183)*(-1)/21. 5/7 What is ((-3)/10)/(552/1840*-2*7)? 1/14 What is (-6)/4*179/(-537)? 1/2 Evaluate 13*(-25)/500*2/(-13). 1/10 Evaluate 18/(29/(319/22)). 9 What is ((-3)/(-9))/(-8*1/(-4))*-10? -5/3 Calculate (2/(-11))/((-368)/(-552)). -3/11 What is the value of ((-3)/(-4)*10/(-15))/(3/6)? -1 What is (-15)/(1/((-5)/1)*-5)? -15 ((-1092)/(-17836))/(1/7) 3/7 What is 2/(-1)*1/(-2)*(-5)/(-15)? 1/3 Evaluate 4/15*(432/16)/(-108). -1/15 (-1972)/1479*9/(-4) 3 (5/((-10)/(-4)))/(8/640*-10) -16 Evaluate -7*(-4)/7*876/(-1168). -3 What is ((-15)/(-1))/((-3935)/787)? -3 What is the value of 24/(-38)*6707/(-706)? 6 What is the value of ((-8)/204)/(4/24*-2)? 2/17 What is (-1)/(33/209)*3? -19 What is (-720)/(-1980)*11/90? 2/45 Evaluate (-18)/36*(9*3)/((-9)/12). 18 -35*((-27)/45)/3*280/98 20 Calculate ((-657)/(-730))/((-3)/2). -3/5 (-4893)/699*19/7 -19 What is the value of 1*-1*((-3179)/374)/((-2)/(-4))? 17 Evaluate (-162)/9*(-1)/12*2. 3 Calculate (-2*(-3)/4)/(21/(-280)*-5). 4 What is the value of ((-55)/(-9))/(400/(-160))? -22/9 What is the value of ((-192)/(-320))/((-3)/2)? -2/5 What is ((-8)/100)/((-9)/120*-8)? -2/15 What is ((-16)/22*1)/((-1456)/8008)? 4 Calculate -22*7/21*3/2. -11 (-1)/((-10)/6*(-26)/((-9360)/(-918))) -4/17 What is ((-7)/(-12)*(-15)/(-5))/((-234)/(-3744))? 28 Evaluate (4*14/(-84))/(50/30). -2/5 What is (3/(-3)*(-200)/120)/((-2)/6)? -5 1/2*((-100)/(-5))/((-4)/(-2)) 5 What is -4*1*15/(-18)*(-30)/140? -5/7 (-9*(-2)/78)/(9*9/1053) 3 ((3420/210)/(-19))/(-3) 2/7 What is the value of 0/(2/(-10)*(-40)/(-8))? 0 Calculate (-140)/84*(-24)/(-20)*(-15)/(-3). -10 What is -6*(-744)/558*(-2)/(-28)? 4/7 What is ((132/9)/(-1))/(11/(231/(-14)))? 22 Calculate 256/(-24)*9/6. -16 What is the value of ((-1)/6)/(685/28770)? -7 Calculate (6/22)/((-73)/(-803)). 3 What is the value of (((-40)/(-30))/(2/3))/(4*-3)? -1/6 ((6/(-1))/(2/5))/((-6)/4) 10 Calculate (-46)/598*(-8)/(-2). -4/13 What is (-148)/37*(-16)/(-4)? -16 (6*18/12)/((-3)/((-3)/(-1))) -9 What is (-2600)/(-300)*(-6)/4? -13 What is (-49)/(-392)*64/40? 1/5 What is the value of ((-2)/(42/(-5)))/((-24)/(2448/(-85)))? 2/7 What is (3978/(-408))/((3/(-12))/(3/9))? 13 (-4)/2*((-37)/555)/((-1)/(-5)) 2/3 Evaluate (((-192)/12)/240)/(6/9). -1/10 Evaluate ((-4)/(-6)*21/(-49))/((-615)/(-287)). -2/15 What is (3/(-12))/((-1855)/(-1590))? -3/14 ((-170)/34)/(5/3) -3 What is 9/30*(-10)/78*4? -2/13 Evaluate 23/((-1035)/(-110))*18/4. 11 Calculate 27/(-3)*(-40)/24. 15 Calculate (1*5/(-2))/((-2)/12). 15 Calculate 160/60*135/(-12)*-1. 30 What is -1*(-21)/6*8865/(-4137)? -15/2 What is 28/(-18)*1308/(-872)? 7/3 Calculate (240/(-27))/(-4)*1071/(-238). -10 (-42)/(-7)*39*10/90 26 What is the value of 2268/(-864)*(-16)/2? 21 Evaluate ((-319)/(-2))/11*2. 29 What is 2/63*9*-28*2? -16 Calculate ((-24)/(-26))/1*((-4)/(-1))/(-16). -3/13 What is the value of (1134/(-36))/21*1/(-9)? 1/6 (4*(-6)/(-9))/(23/(621/(-198))) -4/11 Evaluate (-12)/792*-2*-6. -2/11 Calculate ((-11253)/(-66))/11*2. 31 Evaluate 5*1*(-4)/((-70)/7*3). 2/3 Evaluate (-4)/(-144)*4*-25*4/10. -10/9 (3/(-4))/(((-13)/(-52))/1) -3 What is the value of ((20/(-15))/(-4))/(((-78)/144)/(-13))? 8 ((-2)/1*(-8)/(-220))/((-31)/(-310)) -8/11 What is the value of 7056/(-19656)*12/(-14)? 4/13 What is (933/(-4665))/((-4)/(120/(-34)))? -3/17 Calculate (1288/5796)/((-2)/(-6)). 2/3 ((-272)/1122*22)/((-10)/6) 16/5 Evaluate (-5)/12*((-432)/45)/(-24). -1/6 What is (12/264*77)/((1/2)/(-1))? -7 Calculate (-105)/(-45)*15/28*-1. -5/4 What is the value of 6/(468/65)*(-30)/5? -5 Calculate (19*3)/(-25*(-48)/400). 19 Calculate (((-660)/75)/(-22))/(14/5). 1/7 What is ((-1200)/128)/(-25)*24/(-3)? -3 Evaluate ((-303)/202)/(1/(-4)). 6 What is 330/198*3/5*-7? -7 ((-75)/(-50))/(-1*(-1)/(-6)) -9 Evaluate (104/(-26))/(((-2)/(-15))/(2/4)). -15 What is 175/130*26*16/(-14)? -40 Calculate (((-54)/(-2580))/(30/(-25)))/((-9)/24). 2/43 What is the value of (-12)/63*3*(-30)/180? 2/21 What is the value of (0*((-5)/(-2))/(-5))/(316/(-79))? 0 What is the value of 20*(-3)/4*(-4)/(-5)? -12 ((-1)/(((-308)/(-16))/11))/(1/(-7)) 4 Calculate 1*(-55)/((-8360)/16). 2/19 Evaluate 600/500*25/(-3). -10 Evaluate ((-1)/3)/((-360)/(-14040)). -13 Calculate (((-4)/1)/(-1))/(6/(-15)*-2). 5 What is 6/(-7)*(833/68)/7? -3/2 Calculate (-9)/30*(-335)/(-2211). -1/22 Calculate 56/1190*(-50)/(-40). 1/17 What is the value of ((-16)/(-10))/4*((-9500)/57)/(-20)? 10/3 Calculate 242/(-33)*138/759. -4/3 What is the value of ((-676)/156)/(39/(-9))? 1 What is (-35)/1*4/10? -14 What is the value of (-28)/364*13*2/14? -1/7 What is 63*(-62)/837*6/4? -7 (1*54/(-15))/(((-2816)/(-55))/(-16)) 9/8 What is the value of 150/125*400/(-840)? -4/7 Evaluate (20/70*(-7)/(-8))/((-43)/(-172)). 1
{ "pile_set_name": "DM Mathematics" }
ive. m**(1474/1953) Simplify j**(-2/47)/(j/j**(-6/11)) assuming j is positive. j**(-821/517) Simplify (b**(3/2)*b*b*b*b/(b/(b**(-2)/b))*b*b)/(b*b**(-4/9)*b*b*b**(-2/3)) assuming b is positive. b**(29/18) Simplify (i**3)**(-7/2)/(i*i**1)**19 assuming i is positive. i**(-97/2) Simplify ((o*o/o**(2/3))/o)**(-17)/(o**4*o/o**(3/4)) assuming o is positive. o**(-119/12) Simplify g**0/(g*(g**4*g*g*g)/g*g)*(g/(g/g**1)*g)/g*g**(-1/11) assuming g is positive. g**(-78/11) Simplify (f**12)**(7/4) assuming f is positive. f**21 Simplify (((l**(-1/3)/l)/l)/l)**41*(l/(l/l**(-4)))/(l*l/(l/l**(-1/4)*l)) assuming l is positive. l**(-1685/12) Simplify b*b**(-9/7)*b**(-20) assuming b is positive. b**(-142/7) Simplify (r**(2/111))**(28/9) assuming r is positive. r**(56/999) Simplify c**(-7/9)/(c/(c**(-32)*c)*c*c) assuming c is positive. c**(-313/9) Simplify z**(-4)/z*z**1 assuming z is positive. z**(-4) Simplify ((r*(r**(-4)*r)/r)/r)**(3/14) assuming r is positive. r**(-6/7) Simplify q**(-4/5)/(q/(q*q**(1/2)/q)) assuming q is positive. q**(-13/10) Simplify (r**(-25)*r)/r*r*r**(3/14)/r assuming r is positive. r**(-347/14) Simplify q**(-3/4)*q**(-8) assuming q is positive. q**(-35/4) Simplify (((o**(-6)/o)/o)/o*o*o*o*o)**(6/5) assuming o is positive. o**(-6) Simplify ((u/(u/(u**(21/4)*u)))/u)/u*u/(u**(-16)*u)*u assuming u is positive. u**(85/4) Simplify w**(-1/2)*w*w**(-1/36) assuming w is positive. w**(17/36) Simplify (c*c**(-5))/(c*c**(-4))*(c/c**(1/4))/c**(-1/12) assuming c is positive. c**(-1/6) Simplify ((q/q**(-2/19))/q*q*(q/(q/((q/(q/(q*q**(-1/10)))*q)/q)))/q)**0 assuming q is positive. 1 Simplify (n**(-10)*(n*n*(n*n**(-4)*n)/n)/n)/((n**9/n*n*n)/(n**6*n)) assuming n is positive. n**(-15) Simplify (n**(-3))**2 assuming n is positive. n**(-6) Simplify (l*l/(((l/((l/l**(-4))/l))/l)/l)*l**(4/5))/(l*l*l**(-2/7)/l)**19 assuming l is positive. l**(-202/35) Simplify (k**5*k/k**3)/(k**(-1/4)/k)**5 assuming k is positive. k**(37/4) Simplify (c*c**(3/8)/c*c/(c/c**(1/4)))**(-2/71) assuming c is positive. c**(-5/284) Simplify m**(1/33)*m*m**18 assuming m is positive. m**(628/33) Simplify (l**(-2/13)/(l/((l**8/l*l)/l)))/(((l/(l/l**(3/4)))/l)/l**7) assuming l is positive. l**(681/52) Simplify d**(-1/22)*d/(d*(d/d**(2/35))/d) assuming d is positive. d**(9/770) Simplify (h**(-1/9)*h*h)/(((h*h/h**(2/83))/h)/h) assuming h is positive. h**(1429/747) Simplify l**(-19/2)/(l/(l/l**0*l)) assuming l is positive. l**(-17/2) Simplify s**(7/2)/(((s*(s*s/(s*s**(-21)))/s)/s)/s) assuming s is positive. s**(-33/2) Simplify ((h*h**(1/13)/h)/(h/h**(-2/9)))**(2/5) assuming h is positive. h**(-268/585) Simplify ((g**(-1))**(-40))**(2/9) assuming g is positive. g**(80/9) Simplify (t**5/t)**(1/35) assuming t is positive. t**(4/35) Simplify (j*j/(j/(j/(j/(j**(-5/2)/j)))*j)*j*j)**(31/5) assuming j is positive. j**(-93/10) Simplify (r**1)**23/((((((r/(r/((r**(-1)*r*r)/r)))/r)/r)/r)/r)/r)**(-1/7) assuming r is positive. r**(156/7) Simplify (i/(i*i**(4/7)/i)*i*i*i**(-2/17))/(i**5/i*i/i**9) assuming i is positive. i**(751/119) Simplify (i/i**20)/(i**43/i) assuming i is positive. i**(-61) Simplify (t/(t**(1/12)/t)*t)**41 assuming t is positive. t**(1435/12) Simplify (q**(-2/9)/q)**22/(q**(1/3))**(-23/6) assuming q is positive. q**(-461/18) Simplify (p*p/(p**(2/11)*p)*(p**(-7)/p)/p*p)**(3/22) assuming p is positive. p**(-237/242) Simplify (a/(a**(-3)/a))**(14/11)*a**(1/21)*a**(1/5) assuming a is positive. a**(7636/1155) Simplify ((d**(6/11)/d)/(d*d*(d/(d/(d*((d/((d**(-6)/d)/d)*d)/d)/d*d)))/d*d*d))**(-4/5) assuming d is positive. d**(592/55) Simplify (j/(j/(j*j*j**9)))/(j*j*j**(-7/5)*j*j)*(j*j/j**8*j)/j*((j/(j*j**(3/10)))/j)/j assuming j is positive. j**(1/10) Simplify v**2/((v**18*v)/v) assuming v is positive. v**(-16) Simplify s/(s*s/(s/s**(1/7)))*s/((s/s**(4/3))/s)*s**(-1/12)/(s/s**(-1/8)) assuming s is positive. s**(55/56) Simplify (n*n**(-7))/n*n*n**(3/7) assuming n is positive. n**(-39/7) Simplify (y**2)**19 assuming y is positive. y**38 Simplify (((f**(3/2)/f)/f)**(-3/29))**(-11/2) assuming f is positive. f**(-33/116) Simplify (o**10/o*o**(-6))**17 assuming o is positive. o**51 Simplify (n/(n**(-1/3)*n)*(n**(3/17)/n)/n)**(-1/8) assuming n is positive. n**(19/102) Simplify ((s*s**(-14/9))/s)/s*s/(s**(2/59)/s*s) assuming s is positive. s**(-844/531) Simplify ((l*l**2)/l*l**(-2/5))/(l**(-1))**(-9/10) assuming l is positive. l**(7/10) Simplify (c**(2/3)/c)**(1/14) assuming c is positive. c**(-1/42) Simplify l**(2/3)/(l*l**(-2)/l)*((l*l*l**(-4))/l)/(l**5*l) assuming l is positive. l**(-19/3) Simplify (q**(-1/4))**(-14/9)*((q*(q*q**1/q)/q)/q)/(q**1/q) assuming q is positive. q**(7/18) Simplify (q**(4/9)*(q*q**(-1/4))/q)**47 assuming q is positive. q**(329/36) Simplify (w/(w/(w*w*((w/w**(-9/5))/w)/w*w*w)))/w**(7/2) assuming w is positive. w**(13/10) Simplify (p**14*p*p/p**(-4/7))**(14/13) assuming p is positive. p**(232/13) Simplify (h/h**(-6)*h)/h**5 assuming h is positive. h**3 Simplify (k/((k**(-27)/k)/k))**(-23) assuming k is positive. k**(-690) Simplify (((r/((r*r**6)/r)*r*r)/r)/r*r**(-13)*r)**(-17/4) assuming r is positive. r**(289/4) Simplify (r*r**7*r)/(r/(r/r**(-3)))*r**1*r**(-7) assuming r is positive. r**6 Simplify (v**(-1/4)*(v/v**2)/v*v)/(v**(-2/7)*v**(-7)) assuming v is positive. v**(169/28) Simplify (n/n**10)/n**(-6)*(n*n**(1/2))**(2/21) assuming n is positive. n**(-20/7) Simplify l*l**10*l*l*l**(-21/8) assuming l is positive. l**(83/8) Simplify u**(4/9)/(u**13*u) assuming u is positive. u**(-122/9) Simplify c/(c/(c*c/c**(5/3)))*c**(-2/19) assuming c is positive. c**(13/57) Simplify p**(-2/13)/(p**(-9/4)*p) assuming p is positive. p**(57/52) Simplify o/o**8*o*o**(5/3)*o*o*o**(6/11)/((o*o**3)/o*o) assuming o is positive. o**(-191/33) Simplify l**(5/4)/l**2*l**(-1/2)/l**(5/3) assuming l is positive. l**(-35/12) Simplify (k**7)**41 assuming k is positive. k**287 Simplify v**(2/15)*v*v*v*v/((v**(-1/3)/v)/v)*v*v**(1/2)/((v**(-6)/v)/v) assuming v is positive. v**(479/30) Simplify (a/(a**(4/11)/a))/((a*a*a**(-2/21)*a*a)/a)*(a**(-2)/a)/a*a**(1/4)*a*a assuming a is positive. a**(-2789/924) Simplify (g**(-3/2)/(g*g**(-3)))**(-4/3) assuming g is positive. g**(-2/3) Simplify (n**8*n)/((n/n**(2/57)*n)/n) assuming n is positive. n**(458/57) Simplify (p/((p**(1/13)/p)/p))/p**(2/75) assuming p is positive. p**(2824/975) Simplify (d**(-1/2)/(d**(-1/4)/d))**27 assuming d is positive. d**(81/4) Simplify a**6*a/((a/(a**(-1/5)/a))/a*a)*a*a/a**1*a*a*a*a**(-2/5) assuming a is positive. a**(42/5) Simplify (r**(1/4))**34/(r**(-3/2)/(r/(r*r*r**2*r))) assuming r is positive. r**6 Simplify (c*c**(1/12)*c)/c*c**(1/41) assuming c is positive. c**(545/492) Simplify z/(z**20/z)*z**(-10) assuming z is positive. z**(-28) Simplify (o/(o*o/o**(1/3)))**(2/65)/((o/(((o/(o/(o/(o*o**6/o))))/o)/o)*o*o)/o**(-3/5)) assuming o is positive. o**(-2071/195) Simplify o**(-20)/(o/(o/o**(1/19)*o)) assuming o is positive. o**(-362/19) Simplify (c**(-7/2)/(c*c**(-5)))/(c**(1/2)*c*c/c**3) assuming c is positive. c Simplify c*c/c**(-1/4)*c*c*((c**(-28/5)/c)/c)/c assuming c is positive. c**(-87/20) Simplify ((f/(f*f**2))/f)/(f/(f*f*f*f**3))*(f**(-2/7)/f)**(28/3) assuming f is positive. f**(-10) Simplify ((m**(-7)/m)/m*m**(-4/7))**(-1/11) assuming m is positive. m**(67/77) Simplify ((f*(f**(-2/9)*f)/f)/f*f/((f/f**(-1))/f))/(f**(2/9))**0 assuming f is positive. f**(-2/9) Simplify (w/(w**(-18)/w))/w*w**(3/2) assuming w is positive. w**(41/2) Simplify a*a*a*a/(a*a/(a*a**(-20)*a))*a*a**(-8) assuming a is positive. a**(-23) Simplify (g**(-37)/g*g)/g*g*g**(-9) assuming g is positive. g**(-46) Simplify l**(-2)/l*l**(-5) assuming l is positive. l**(-8) Simplify (t**(-8/5))**(-25) assuming t is positive. t**40 Simplify (c**(1/3))**29*c/(((c*c*c**(-1/5)*c)/c)/c)*c/c**(-2/9) assuming c is positive. c**(499/45) Simplify (h**(-23)/h)/h*h*h*h*(h*h/h**(-1/3)*h)/h assuming h is positive. h**(-59/3) Simplify (j**0/j)**2/(j*j**1/j)**(-12) assuming j is positive. j**10 Simplify x**5/x*(x/x**0)/x*(x**(-2/5))**(-1/29) assuming x is positive. x**(582/145) Simplify s**9*s**(3/11) assuming s is positive. s**(102/11) Simplify (r*r**21)/(((r*(r*r*r**(-11/3)*r*r)/r)/r)/r) assuming r is positive. r**(71/3) Simplify (g**(-4/13))**43 assuming g is positive. g**(-172/13) S
{ "pile_set_name": "DM Mathematics" }
+ (1/((-6)/36) - -16). Let f = 4 - 4.5. Sort f, m, -5 in ascending order. -5, f, m Let d(y) = y**3 - 2*y**2 - 3*y - 3. Let x be d(3). Suppose k = 3*k - a + 2, 12 = -3*k - 3*a. Let b = -6 - k. Sort b, 5, x. b, x, 5 Let y(d) = d**3 - 27*d**2 + 93*d - 19. Let x be y(23). Sort x, 5, -251 in decreasing order. 5, x, -251 Suppose -2*n + 3*n = 1. Let i(o) = o**2 + 45*o + 264. Let x be i(-38). Put -5, n, x in decreasing order. n, x, -5 Let y = -628.6 - -627. Put -5, y, -0.4 in ascending order. -5, y, -0.4 Let n(i) = -6*i - 145. Let l be n(-25). Suppose -4*s - 9 = -5. Suppose -h = 5*w - 2*h + 14, 5*w + 2*h = -17. Sort l, s, w. w, s, l Let b = -6 - -5. Let a = b + 0.6. Let r = -0.05 + -4.95. Sort a, 3, r. r, a, 3 Let s = 10.96 - -2.04. Sort s, -4, 2/7 in ascending order. -4, 2/7, s Let m(o) = -o**2 - 6*o - 7. Let z be m(-5). Let g be 26/(-6) + 6/(-9). Let l = g + 0. Sort 4, z, l in increasing order. l, z, 4 Let h = 0.16 - 0.32. Let c = -0.16 - h. Let o = 0.29 - 0.4. Sort o, c, -3/4 in ascending order. -3/4, o, c Let n = -32 + 39. Suppose -3*f - 3 = 3*s, 0*f + f = -3*s + n. Suppose 5 = h - 2*y - 3, 5*h - s = y. Put 2, -1, h in increasing order. -1, h, 2 Let q = 1/5 + 13/10. Let m = 10.7 - -0.3. Let s = m + -10.8. Sort q, s, 1/3 in decreasing order. q, 1/3, s Let z = 1.4 - -0.6. Suppose -4*u - 2*q = -2, -5*u + 4*q = -u - 20. Suppose -2*b = -4*b + u. Sort b, z, -1/4 in ascending order. -1/4, b, z Let i be (480/(-600))/(3 + 17/(-5) + 0). Let x = -3/112 - 197/1008. Put x, -1/3, 3, i in descending order. 3, i, x, -1/3 Let i = -11.369 + 11.3. Let h = -0.069 - i. Put h, 2, 5, -5/2 in increasing order. -5/2, h, 2, 5 Let m(q) = q - 5. Let y be m(4). Let t be 4 - -6 - (y - -1). Suppose -3*i + 4 = t. Sort -1, 5, i in descending order. 5, -1, i Let a = -381 + 389. Sort -4, a, 0, -1 in descending order. a, 0, -1, -4 Let a be 13/((-715)/33)*(-1 + (-3)/(-9)). Let v = -2 - -3. Put -6, v, a in decreasing order. v, a, -6 Let a = -33 + 30. Let y be (0 + 5/5)*a/1. Put 31, -2, y, 0 in decreasing order. 31, 0, -2, y Let s = -28 + 32. Suppose 16*h - 2 = 30. Suppose -5 - 10 = -5*j. Put j, h, s in descending order. s, j, h Let b be 6/(-10) + 1022/70. Let i be (10/15 - b/(-15)) + -2. Put i, 2/7, -0.6 in decreasing order. 2/7, i, -0.6 Let t = -72.71 + 73. Sort -0.3, 3/7, t in decreasing order. 3/7, t, -0.3 Suppose 69 = -12*q + 9. Put -3, 4, q in descending order. 4, -3, q Let n be 3000/144 - 2/(-12). Let c = n + -33. Sort 3, c, -5 in increasing order. c, -5, 3 Suppose c + 8 = -2*t, -3*c = 5 + 7. Let d be 0 + (-2 - -2 - 0). Sort t, d, -1 in decreasing order. d, -1, t Suppose -13 + 3 = 5*j. Let k be (j/3)/((-1)/3). Suppose -9 = -m - k*m. Put -3, 0, m in ascending order. -3, 0, m Let i(g) = g + 5. Let l be i(3). Suppose -3*r = -l - 10. Suppose 0 = -s, 9 = -3*b + r*b - 3*s. Sort -5, -2, b. -5, -2, b Let q(p) = p**2 + 6*p + 2. Let c be q(-8). Let j be (-4)/c + 6/27. Sort -5, 9, j in descending order. 9, j, -5 Let i = -1 - 3. Let k(q) be the second derivative of q**3/6 + 5*q**2/2 - 8*q. Let u be k(-7). Sort u, i, -5 in increasing order. -5, i, u Let t = -33 - -88.2. Let q = -54 + t. Sort 0.4, q, 5. 0.4, q, 5 Let t be 33/18 + 6/36. Let g = -1 + 1. Put 3, t, g in ascending order. g, t, 3 Let s be 4/6 - (-64)/(-78). Let m = -0.065 - -1.085. Let p = m - 3.02. Put -3, s, p in ascending order. -3, p, s Let c = -77/155 - -3/31. Put 6/11, -2, c, 1 in descending order. 1, 6/11, c, -2 Suppose 2*p - p + 21 = 0. Let a = p + 35. Put a, 2/3, -2 in ascending order. -2, 2/3, a Suppose 0 = -17*n + 46 - 12. Put -1, 4, n, 14 in decreasing order. 14, 4, n, -1 Let n(f) = -23*f + 200. Let m be n(10). Put -3, m, 39 in decreasing order. 39, -3, m Suppose -491 = -13*c - 426. Sort c, -8, -9 in descending order. c, -8, -9 Let d = -15 - -27. Let f = -31 - -17. Let b = f + d. Put 5, 1/2, b in ascending order. b, 1/2, 5 Let g = 498 + -500.3. Sort 0.5, 2, g, 0.2 in decreasing order. 2, 0.5, 0.2, g Let a = 119 + -121. Put 0.02, a, 3 in ascending order. a, 0.02, 3 Let q be 99/(-132)*40/(-6). Let k(v) = v**3 - 6*v**2 - v + 5. Let u be k(6). Put 2, u, 1, q in increasing order. u, 1, 2, q Let h = -209 - -216. Sort h, 1, 0, 4 in decreasing order. h, 4, 1, 0 Let q = -27.2 - -26.8. Let o = -18.1 - -24. Let n = o - 6. Sort n, 2, q in decreasing order. 2, n, q Let g be 0 - (-2 - (7 + -4)). Let k be ((-1)/g)/(12/24). Sort 4, -16, k in descending order. 4, k, -16 Let v = -3.7 + 3.6. Sort v, -6, 0.3, -2/7. -6, -2/7, v, 0.3 Let g be 5/30*(-72)/16. Sort -0.2, g, -39/4. -39/4, g, -0.2 Let z = 1 - 3. Let a be (-5 + 2)*z/(-3). Let v = -105 + 105. Put v, 2/11, a in ascending order. a, v, 2/11 Suppose 8 = 2*c, -2*n - 2*c = 3*n - 13. Suppose 0 = 2*h - x - 2 + 3, -x - n = -4*h. Sort h, 5, -1. -1, h, 5 Suppose -16 = 2*d - 3*b, 4*d + 8 + 4 = b. Let o be 1*2/(-4)*d. Let g be -1 - 3 - (-3)/o. Sort g, 4, -5 in decreasing order. 4, g, -5 Let x = -5 + 3. Let i = x + -1. Sort 2/5, i, 0.3, -8/5. i, -8/5, 0.3, 2/5 Let y = -3059/8200 - 2/1025. Let t = -4 - -9. Put -0.4, y, t in increasing order. -0.4, y, t Let c = 617 + -616.8. Sort c, 2.3, -5 in ascending order. -5, c, 2.3 Let x(c) = -c**2 + 6*c - 3. Let d be x(4). Suppose 3*g - 6*g + 21 = 0. Suppose -g*h - d = -2*h. Put -2, h, -3 in descending order. h, -2, -3 Let n = 2.48 - 2.68. Sort n, 0.2, -4/13 in decreasing order. 0.2, n, -4/13 Suppose -5*n + 64 + 36 = 0. Let b be (-3)/n - (-3)/(-12). Let v(f) = f**2 - 3*f + 1. Let h be v(2). Sort h, 1/2, b in decreasing order. 1/2, b, h Let c = -1 + 6. Suppose c*u = -2 + 7. Suppose 5*w - u - 34 = 5*g, -2*g - 3*w - 4 = 0. Put 6, 2, g in decreasing order. 6, 2, g Let f(n) = 2*n**2 - 18*n + 8. Let d be f(11). Let s = -52 + d. Sort s, 22, -3. -3, s, 22 Let r be -16 + 3*132/36. Let n be (0 - -3)/(6/(-4)). Suppose -2*c - c = -15. Put c, n, r in ascending order. r, n, c Suppose 4*t + 22 + 12 = -5*p, -2*p = -t - 2. Sort 2, 1, t. t, 1, 2 Let c = 9 + -17/2. Let d be (6/9)/2*-3*1. Sort c, -0.5, d, 0.2. d, -0.5, 0.2, c Suppose -2*f - 5*i + 38 = 0, i + 14 = 2*f - 0*i. Suppose 0 = -5*m - 56 + 11. Let c = m + f. Put -4, -2, c in decreasing order. c, -2, -4 Let b = -2408 + 2412. Let r be (2/3)/((-28)/18). Let a = -3.1 - -3. Sort a, b, r. r, a, b Let w(h) = h**3 - 4*h**2 + 3*h + 3. Let k be w(4). Let t = -1507 - -1511. Sort t, -2/9, k in decreasing order. k, t, -2/9 Let g be ((-5)/10)/((-1)/12). Let m be 139/g*(-3)/11. Let c = m + 42/11. Put c, -5, -0.5 in ascending order. -5, c, -0.5 Let g be (17 - 19)/(-1*1). Suppose -3*q + x - 17 = 0, -14 = -4*q - 5*x - 5. Let j be -2 - -3 - (-6)/(-1). Put j, q, g in decreasing order. g, q, j Let b(x) = x + 3. Let s be b(3). Suppose s*q = -0*q. Sort 3, q, -2, -3/2 in descending order. 3, q, -3/2, -2 Let h(j) = -4*j. Let k be h(1). Let c(n) = -3*n**2 - 213*n - 211. Let b be c(-70). Sort 12, 4, k, b in decreasing order. 12, 4, b, k Suppose -2*b - s = 4, -25*s - 16 = -29*s. Sort -5, -8, -2, b in ascending order. -8, -5, b, -2 Let g(x) = -x**3 - 11*x**2 + 11*x - 9. Let w be g(-12). Suppose 2*y + 4 = 0, o + 5*y + 2 = -w*o. Sort 3, 1, o in descending order. 3, o, 1 Let o = -0.02 + 4.02. Let n be ((-8)/10 + 1)*710/(-639). Sort 1/9, n, o, -2 in decreasing order. o, 1/9, n, -2 Let w = 7 + -2. Let r = 216/541 + 2/2705. Let h = 0.8 + -4.8. Put w, h, r in decreasing order. w, r, h Let w = 0.005 - 0.505. Put 2/9, w, -11, -0.3 in decreasing order. 2/9, -0.3, w, -11 Let m(l) = l**2 + 6*l - 21. Let n be m(-9). Suppose -k - 7 = -n. Sort -2/23, 2/3, k, 2/7 in ascending order. k, -2/23, 2/7, 2/3 Let c be -8 + 965/105 + 1/(-3). Put -5, c, -0.1 in ascending order. -5, -0.1, c Suppose -b - 4*q - 28 = 0, 7*b = 3*b - 4*q - 76. Let j(o) = 2*o + 35. Let u be j(b). Sort -4, u, 1 in descending order. u, 1, -4 Let i(y) = 4*y**2 - 63*y - 21. Let k be i(16). Let t = 61 - 54.3. Let f = -7 + t. Sort 0.2, f, k in decreasing order. 0.2, f, k Let g = -16 - -16.7. Let m = 4.3 + g. Sort 2/9, m, 5/7 in increasing order. 2/9, 5/7, m Let d = -26 - -30. Let y(m) = 2*m - m + 5 - 4. Let t be y(-5). Put 3, t, d in descending order. d, 3, t Let s = 8 - 3. Let o = -7.25 + 0.25. Let p = o + 2. Put s, p, 3 in increasing order. p, 3, s Let l = 24.2 + -27. Let z = l + -3.2. Let n(u) = u**2 - 8*u + 4. Let h be n(7). Put z, 3/8, h in descending order. 3/8, h, z Suppose -4*t - 12 = -4*
{ "pile_set_name": "DM Mathematics" }
208 Simplify sqrt(125)*1 + -4 + 3. -1 + 5*sqrt(5) Simplify (-4 + sqrt(2352))*4. -16 + 112*sqrt(3) Simplify (((sqrt(448) - (sqrt(448) + -5*(-4 + sqrt(448)))) + sqrt(448))*-3)**2. -17280*sqrt(7) + 148752 Simplify 4 + (sqrt(1573) - sqrt(1573)*-2). 4 + 33*sqrt(13) Simplify ((-2 + sqrt(192))*-6*4 + 0)**2. -18432*sqrt(3) + 112896 Simplify ((sqrt(7) - (-2 + sqrt(7))) + 0)*2. 4 Simplify (-5 + sqrt(108) + 2 + sqrt(108))**2 + (sqrt(108) - ((sqrt(108) + 2)*5 + sqrt(108)))**2. 528*sqrt(3) + 3241 Simplify (-6*(sqrt(51) + sqrt(153)/sqrt(3)))/(sqrt(3) - sqrt(288)/sqrt(6)). 4*sqrt(17) Simplify (sqrt(288)*-1)**2*-4. -1152 Simplify (sqrt(9) + 3*(sqrt(27)/sqrt(3) - sqrt(9)))/((sqrt(3) - (sqrt(108) - sqrt(27))) + sqrt(3)). -sqrt(3) Simplify (5*(sqrt(99) + sqrt(99) + -2*sqrt(99) + sqrt(99) + sqrt(99)))/((sqrt(252)/sqrt(7))/sqrt(4)). 10*sqrt(11) Simplify (sqrt(1216) + -5)*5. -25 + 40*sqrt(19) Simplify sqrt(88)/(sqrt(16)/sqrt(98)). 7*sqrt(11) Simplify (2 + sqrt(800))**2. 80*sqrt(2) + 804 Simplify 1*(-1 + sqrt(272)). -1 + 4*sqrt(17) Simplify ((sqrt(24) - sqrt(120)/sqrt(5))/sqrt(12))**2 + (sqrt(56) - sqrt(14))/sqrt(7). sqrt(2) Simplify (-1*sqrt(176))**2 + 3. 179 Simplify (1 + (2*sqrt(30))/sqrt(6) + 0)**2. 4*sqrt(5) + 21 Simplify (sqrt(11) + sqrt(55)/sqrt(5))**2 + 1 - ((sqrt(44)/(-1*sqrt(4)))**2 + sqrt(11)). -sqrt(11) + 34 Simplify (1*sqrt(17))**2 + -3 - sqrt(68)/(sqrt(4)*4). -sqrt(17)/4 + 14 Simplify ((sqrt(125) + -2)**2 + sqrt(125))*-4. -516 + 60*sqrt(5) Simplify sqrt(85)/(sqrt(250)/sqrt(2) - sqrt(5)). sqrt(17)/4 Simplify sqrt(343) + 3 - (sqrt(70)/sqrt(10) + 0). 3 + 6*sqrt(7) Simplify ((sqrt(204) + (sqrt(204)*1*-6 - sqrt(204)) + sqrt(204))/(-4*sqrt(12)*-2))**2. 425/64 Simplify sqrt(49)/(sqrt(7) - (sqrt(7) + (sqrt(49)*4)/sqrt(7))). -sqrt(7)/4 Simplify -2*sqrt(57)/(-2*sqrt(147) - sqrt(147)) + 4. 2*sqrt(19)/21 + 4 Simplify 2 + sqrt(11) + (-4 + sqrt(704))**2 + -3. -63*sqrt(11) + 719 Simplify 2 + -5*(sqrt(11) + sqrt(396))*1. -35*sqrt(11) + 2 Simplify (1*sqrt(78)*1)/(-5*(sqrt(6) - (sqrt(6) - 1*sqrt(6)))). -sqrt(13)/5 Simplify ((sqrt(26)*-2 + sqrt(26))*-1)/(2*sqrt(288)). sqrt(13)/24 Simplify -1 + sqrt(539)*2*-2. -28*sqrt(11) - 1 Simplify (5*sqrt(931) + sqrt(475) + -1)**2. -80*sqrt(19) + 30401 Simplify (2 + 1*sqrt(425))**2. 20*sqrt(17) + 429 Simplify 1*(sqrt(320) + sqrt(20)). 10*sqrt(5) Simplify (sqrt(936) + (sqrt(936) - 4*sqrt(936)))/sqrt(2). -12*sqrt(13) Simplify (2 + (-1*sqrt(128))**2)*-2. -260 Simplify ((((sqrt(385) - sqrt(385)*-2) + sqrt(385) + sqrt(385) - sqrt(385) - sqrt(385)) + sqrt(385))/sqrt(7))/((-1*sqrt(77))/sqrt(7)). -4*sqrt(5) Simplify (sqrt(13) + ((sqrt(208) - -1*sqrt(208) - sqrt(208)) + sqrt(13) - sqrt(13)) + (sqrt(52) - sqrt(208))/sqrt(4))**2. 208 Simplify (2*sqrt(209)*-1)/(sqrt(11) + 1*sqrt(1331)). -sqrt(19)/6 Simplify 5*(sqrt(5) + (-2 + sqrt(5)*2)**2). -35*sqrt(5) + 120 Simplify -1 + sqrt(1900) + -3. -4 + 10*sqrt(19) Simplify (sqrt(171)*-1*6)/sqrt(9) + (1*sqrt(6897) + sqrt(6897))/sqrt(3). 16*sqrt(19) Simplify -2 + (-3*sqrt(27)*-2)/sqrt(9). -2 + 6*sqrt(3) Simplify (sqrt(637) - sqrt(13)) + sqrt(13) + -2 + (-4*sqrt(104) + sqrt(104))/sqrt(8) + sqrt(13). -2 + 5*sqrt(13) Simplify sqrt(20) + 3 + -3*(sqrt(5) - (sqrt(5) - sqrt(50)/sqrt(10))). -sqrt(5) + 3 Simplify (sqrt(66)*2*3 - sqrt(66))/sqrt(6). 5*sqrt(11) Simplify -3 + (1 + sqrt(700) - sqrt(700)) - (sqrt(7) + sqrt(112) + (-2*sqrt(112))**2 + sqrt(112) - (sqrt(567) - (sqrt(567) + 0))). -450 - 9*sqrt(7) Simplify (sqrt(2) - ((sqrt(2450) - sqrt(50)) + sqrt(2)))**2 + 0 + sqrt(2) + 4 + -5. sqrt(2) + 1799 Simplify (0 + sqrt(396) + -1)**2 + -5. -12*sqrt(11) + 392 Simplify (((sqrt(385)/sqrt(11))/sqrt(7) + -4)*4)**2. -128*sqrt(5) + 336 Simplify 4*(sqrt(1216)*-1 + -2). -32*sqrt(19) - 8 Simplify ((sqrt(44)/(sqrt(8)/sqrt(2)))**2 - sqrt(11)) + sqrt(11) + (sqrt(132)/sqrt(108))**2. 110/9 Simplify sqrt(20)/sqrt(4)*4 + -3. -3 + 4*sqrt(5) Simplify ((sqrt(468) + 0 + sqrt(468) + sqrt(468))*1)**2 + 5*sqrt(117)*3. 45*sqrt(13) + 4212 Simplify (sqrt(76)/(-1*sqrt(484) - sqrt(484) - sqrt(484)))**2*2. 38/1089 Simplify (sqrt(1216) + 0 + 2)**2 + sqrt(1216). 40*sqrt(19) + 1220 Simplify ((sqrt(4) - 2*sqrt(36)) + sqrt(4))/(6*(sqrt(50) + sqrt(2)) + sqrt(2)). -4*sqrt(2)/37 Simplify sqrt(8) + -1 + (-2*sqrt(14))/sqrt(7). -1 Simplify 4*(1 + sqrt(45) - sqrt(5)). 4 + 8*sqrt(5) Simplify (sqrt(540)/sqrt(48))/(sqrt(108)/(sqrt(192) + sqrt(12)) - sqrt(9)). -5*sqrt(5)/8 Simplify (1*-3*sqrt(209))/sqrt(11). -3*sqrt(19) Simplify ((-2*sqrt(1300) + 4)*-3)**2. -1440*sqrt(13) + 46944 Simplify 2*sqrt(612) - (sqrt(17) + 2*sqrt(17)*1). 9*sqrt(17) Simplify 0 + (sqrt(432) + -1)*-3. -36*sqrt(3) + 3 Simplify (((sqrt(12)*-3)/sqrt(6))**2 - ((-1*sqrt(10))/sqrt(5))**2) + 4. 20 Simplify 5*((-2*sqrt(931))**2 - sqrt(304)*5). -100*sqrt(19) + 18620 Simplify ((sqrt(66) + sqrt(66)*2)*-6)/(sqrt(24)/sqrt(4)*-2). 9*sqrt(11) Simplify sqrt(144)/sqrt(8) - (1 + 3*sqrt(2) + sqrt(2)). -sqrt(2) - 1 Simplify (sqrt(11)*4*4 - -4*sqrt(1331))**2. 39600 Simplify ((sqrt(156)/sqrt(4) - sqrt(39))/sqrt(3))**2 + -3 + sqrt(208). -3 + 4*sqrt(13) Simplify -1*3*(sqrt(19) + 1). -3*sqrt(19) - 3 Simplify -5*(sqrt(3) + 4)*-4. 20*sqrt(3) + 80 Simplify (sqrt(1700) + sqrt(1700) + 1)**2 + (sqrt(17) + -2)*1 + sqrt(17). 42*sqrt(17) + 6799 Simplify (sqrt(132) - (sqrt(132) - (5*sqrt(132)*-1 + sqrt(132))))/(sqrt(72)/sqrt(6)*-6). 2*sqrt(11)/3 Simplify (sqrt(14)/sqrt(2) + -3)**2 + -5. -6*sqrt(7) + 11 Simplify (5*-2*sqrt(320)*-3)**2. 288000 Simplify (sqrt(171) + sqrt(171) + sqrt(171)*-3*-3 + sqrt(171))/(-3*sqrt(225)). -4*sqrt(19)/5 Simplify (3 + sqrt(18) + sqrt(2) + -3*sqrt(2)*-4)**2. 96*sqrt(2) + 521 Simplify -4 + (sqrt(294) - ((sqrt(294)*2 + sqrt(294) + sqrt(294) - sqrt(294)) + sqrt(294) - sqrt(294)))/sqrt(2). -14*sqrt(3) - 4 Simplify ((5*sqrt(38)/sqrt(2)*1)**2 + -4)*-4. -1884 Simplify ((sqrt(153)*2*-3)/sqrt(9)*-6 + 0)**2. 22032 Simplify -4*-2*sqrt(19)*5. 40*sqrt(19) Simplify -6*(sqrt(112) + -2). -24*sqrt(7) + 12 Simplify (((sqrt(66)*-2 - sqrt(66))*-3)/((sqrt(66) + 2*sqrt(66))/sqrt(11)))**2. 99 Simplify sqrt(275) + sqrt(275) + (sqrt(275) + (sqrt(275)*2)**2)*-1 + 4. -1096 + 5*sqrt(11) Simplify (-1 + sqrt(152)/(sqrt(16)/sqrt(2)) + 3)**2. 4*sqrt(19) + 23 Simplify (2*sqrt(768))/(sqrt(12)/sqrt(8) + sqrt(6)). 32*sqrt(2)/3 Simplify 3*(3 + (sqrt(19) - (sqrt(304) + -4 + sqrt(19))))**2 + -1. -168*sqrt(19) + 1058 Simplify (sqrt(28)/sqrt(4) + 5 - (sqrt(112) + -3))**2. -48*sqrt(7) + 127 Simplify (-2*1*sqrt(931))**2 - (sqrt(931) + (sqrt(931) - 2*sqrt(931)*-6)). -98*sqrt(19) + 3724 Simplify (((1 + sqrt(13))*-6 - sqrt(13)) + 0)**2*4. 336*sqrt(13) + 2692 Simplify -1*sqrt(5)*1 - (-5 + -4*sqrt(5)). 5 + 3*sqrt(5) Simplify 4*sqrt(45)*5*5 + -4. -4 + 300*sqrt(5) Simplify ((sqrt(200)/sqrt(10))**2 + (0 + sqrt(15)/sqrt(3))**2)*5. 125 Simplify (1 + sqrt(5))**2*-2 + sqrt(500)*-1. -14*sqrt(5) - 12 Simplify ((sqrt(605)*-1)**2 - sqrt(605))*6 - (sqrt(605) - (2 + sqrt(605)*-2)). -99*sqrt(5) + 3632 Simplify ((-2*sqrt(33)*1)/(sqrt(3) + 2*sqrt(75)))**2. 4/11 Simplify (sqrt(17) + -5*sqrt(51)/sqrt(3) + 5 + sqrt(272) + sqrt(17))**2. 10*sqrt(17) + 42 Simplify -4*((1 + sqrt(2736)*-1)**2 - (0 + (sqrt(2736)*1)**2 + sqrt(2736))). -4 + 144*sqrt(19) Simplify -4 + (sqrt(3) - (sqrt(3)*1 + 4)**2). -23 - 7*sqrt(3) Simplify -5 + (-2*(0 + sqrt(432)))**2 + -3. 1720 Simplify ((sqrt(80) + sqrt(20))/sqrt(4) + 4*sqrt(10)/sqrt(2))**2*-4. -980 Simplify (-5 + (sqrt(117)*-5 - sqrt(26)/(sqrt(2)*-1)))**2. 140*sqrt(13) + 2573 Simplify sqrt(1331) - ((sqrt(1331) + (sqrt(1331) + 1 - sqrt(1331)) + sqrt(1331))*-6)**2. -191700 - 1573*sqrt(11) Simplify (-1*sqrt(66))/sqrt(6)*-5. 5*sqrt(11) Simplify (sqrt(104)/sqrt(128))**2*4. 13/4 Simplify 3 + (sqrt(25)*3)/sqrt(5) + sqrt(5) + 3. 6 + 4*sqrt(5) Simplify (sqrt(13) - -2*sqrt(1053))*5*4. 380*sqrt(13) Simplify -5*(sqrt(2) + (sqrt(2) + -3 + sqrt(2))*-4). -60 + 35*sqrt(2) Simplify sqrt(24)/(2*sqrt(8)) - (-1*sqrt(3) + 0). 3*sqrt(3)/2 Simplify (-2*sqrt(65)*-1 + sqrt(65))/(-4*sqrt(80)). -3*sqrt(13)/16 Simplify (sqrt(55) + -3*(sqrt(55) + sqrt(165)/sqrt(3)))/(sqrt(5) - (sqrt(10) + sqrt(10) + (sqrt(10)*-2 - sqrt(10)))/sqrt(2)). -5*sqrt(11)/2 Simplify (sqrt(2) + 1 + -5)*4. -16 + 4*sqrt(2) Simplify ((-3*sqrt(1008))/((sqrt(90)*3)/sqrt(10) + sqrt(9) - sqrt(9)))**2. 112 Simplify -1 + sqrt(19) + -1 + 1 + sqrt(684). -1 + 7*sqrt(19) Simplify (sqrt(360) + (
{ "pile_set_name": "DM Mathematics" }
64) - sqrt(64)) + sqrt(64))*3. -9*sqrt(3) Simplify 2*6*(-5 + (-1 + (sqrt(144)/sqrt(4))/sqrt(12))*1*-3*3). -108*sqrt(3) + 48 Simplify ((0 + (sqrt(242) - (-1 + sqrt(242))) - sqrt(242)) + sqrt(242) - -2*((-1 + sqrt(242))**2 - sqrt(242))) + 2 - (1 + 6*(3*(sqrt(242) + 2) + sqrt(242)))**2. -140272 - 19602*sqrt(2) Simplify 2 + ((sqrt(13) + sqrt(13)*1 + 0 - (sqrt(637) + 0) - (-2 + 1 + sqrt(208) + 2))*4)**2. 288*sqrt(13) + 16866 Simplify (2 + (-1 + sqrt(800))*-2)**2 + 4*(3 + (sqrt(1800)*2 + sqrt(1800) - sqrt(1800)) + sqrt(1800) + sqrt(1800)). 160*sqrt(2) + 3228 Simplify (((-1*(sqrt(180)*-1 + sqrt(180)) - sqrt(180))/sqrt(4))/(2*4*sqrt(81)/sqrt(9)))**2. 5/64 Simplify (-2*sqrt(1368) + (sqrt(380) - sqrt(380)*-2)/sqrt(10) + (sqrt(342) + (sqrt(342) - 1*sqrt(342) - sqrt(342)))*-2)/((sqrt(16)*-2*-1)/(sqrt(24)/sqrt(3))). -9*sqrt(19)/2 Simplify (sqrt(1377)*-2*5)**2 + -2 + -4 + ((0 + sqrt(1377)*3 - sqrt(1377))**2 - sqrt(1377) - (0 + (sqrt(1377) - (sqrt(1377) + -3)) + sqrt(1377))**2) + 4. -63*sqrt(17) + 141820 Simplify (-5*((sqrt(720)*-1*-1 + -4 - -4*(sqrt(720) + (sqrt(720) - (-3 + sqrt(720) + sqrt(720) + -2 + sqrt(720))))) + -1 + -3))**2. -21600*sqrt(5) + 165600 Simplify (4*(sqrt(1331) + 3)*4 + -1*sqrt(55)/sqrt(5) + 1 + sqrt(11) + -5)**2. 15488*sqrt(11) + 342672 Simplify -3*(3 + sqrt(1100) + 1 + sqrt(1100))*2 + (sqrt(77)/(sqrt(21)/sqrt(3)) + -4 - (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100) + -2*sqrt(176)))**2. 48*sqrt(11) + 4843 Simplify (1*2*1*sqrt(95))/((-2*sqrt(25))/sqrt(5) + -2*sqrt(20)/sqrt(4)). -sqrt(19)/2 Simplify (-5 + (4*sqrt(187)*2)/sqrt(11) + 0 + ((sqrt(833) - (1 + sqrt(833))) + sqrt(833))*6 + sqrt(85)/(sqrt(560)/sqrt(7)))**2. -2211*sqrt(17)/2 + 688753/16 Simplify ((-1*sqrt(833) + sqrt(833) + -3)*-4 + (1 + 1 + sqrt(1088))*-2)**2. -256*sqrt(17) + 4416 Simplify ((sqrt(378)/sqrt(7) + sqrt(6))/(sqrt(36)/(sqrt(24)/sqrt(2))) + ((2*sqrt(140))/sqrt(7))/(2*sqrt(10)*5))*-4. -84*sqrt(2)/5 Simplify (-1 + sqrt(9)/(sqrt(3)*-2) + (sqrt(3) - (sqrt(3) + sqrt(3)*1*-2)))**2 - (((4*sqrt(24))/sqrt(8))**2 - -1*sqrt(3)*-2). -161/4 - sqrt(3) Simplify (sqrt(170) - sqrt(170)*-1*-6)/(sqrt(640)*2)*6 + (-3*sqrt(68)*4 + sqrt(68))/(sqrt(4) + sqrt(8)/sqrt(50)). -265*sqrt(17)/24 Simplify (-3*((sqrt(891) + sqrt(891) + (sqrt(891) - (sqrt(891) - (2 + sqrt(891)*-1))**2) - sqrt(891)) + -2) + 2)*-6. -64272 + 1620*sqrt(11) Simplify ((sqrt(119) - -2*(sqrt(119) - sqrt(119)*-2) - sqrt(119) - (sqrt(119)*-1*-6 - sqrt(119) - sqrt(119)))/(1*sqrt(1008) + -3*sqrt(7)*1) + -4)*-3. -2*sqrt(17)/3 + 12 Simplify ((-2*((sqrt(91) - sqrt(91)*-6) + sqrt(91))*2*2)/(-1*(sqrt(700) + (sqrt(700) + (1*sqrt(700) - sqrt(700)))*3)))**2. 832/25 Simplify (-6*(sqrt(1053) + -2*(1 + sqrt(1053))) + -4 - (2*sqrt(1053)*-2*-4 + -2))**2. -1800*sqrt(13) + 105400 Simplify (1*-5*sqrt(5)*2 + 4)**2 - (-4 + (sqrt(60)/sqrt(12)*-6)**2 + -3). -80*sqrt(5) + 343 Simplify ((0 + 2 + sqrt(700) - (-2*sqrt(700) + 2)) + (0 + -1 + sqrt(700) - (sqrt(700) + 4*sqrt(700))*2))**2. 120*sqrt(7) + 25201 Simplify -5 + ((-4 + sqrt(2736) + 1 + sqrt(2736))**2 + sqrt(2736)*-2 + sqrt(2736) + -3 - ((2 + -3*sqrt(2736))**2 - ((sqrt(2736)*-2 + sqrt(2736))*-1)**2)). -10947 - 12*sqrt(19) Simplify -5*-3*-1*sqrt(147)*-1 + (3*-2*(sqrt(147) + sqrt(147) + 2 + 5 - sqrt(147)))**2 + 2. 3633*sqrt(3) + 7058 Simplify (-3*sqrt(832) + sqrt(832) + 5)**2*2 - (-1 + -3 + sqrt(52)/sqrt(4) + (-2*sqrt(156))/sqrt(12)). -319*sqrt(13) + 6710 Simplify -5 + ((-1*sqrt(66)*-5 - sqrt(66)) + sqrt(66) + (sqrt(66) + 1*sqrt(66))*-3)/(-6*(sqrt(6) - (sqrt(24) + sqrt(24)*3))). -5 - sqrt(11)/42 Simplify -4 + (sqrt(10)/(sqrt(20)/(sqrt(40)/sqrt(4))) + -5)**2 + sqrt(180)/sqrt(144) + sqrt(20) + (sqrt(20) - sqrt(80)*-6). 26 + 37*sqrt(5)/2 Simplify -5 + ((-5 + (sqrt(99) - sqrt(99)*-1) + 2 + (sqrt(99) - (sqrt(99) + -1 + sqrt(99)))*6)**2 - (5 + (sqrt(99) + (sqrt(99) - -1*sqrt(99))*3)*-3)**2). -42096 + 558*sqrt(11) Simplify (sqrt(4900) - (sqrt(4900) + sqrt(4900)*3*-4 + sqrt(4900)))/((-4*2*sqrt(84))/sqrt(12))*-2. 55*sqrt(7)/2 Simplify -2*(((-1*(sqrt(200) - 2*sqrt(200)))/sqrt(10))/(6*(sqrt(800) - sqrt(50) - sqrt(50))/sqrt(5)))**2. -1/36 Simplify ((sqrt(1368) + sqrt(1368) + 1*sqrt(1368)*-4)/(5*1*sqrt(18)))**2*-5*-3. 912/5 Simplify (5*((5*(sqrt(605) + 1 - sqrt(605)) - 6*(sqrt(605) - -1*sqrt(605) - sqrt(605)) - (sqrt(605) + -4*(sqrt(605) + 1) + -1)) + 2))**2. -19800*sqrt(5) + 139725 Simplify (6*((sqrt(360) - (2*sqrt(360)*5 + sqrt(360))) + sqrt(360) + sqrt(360)))/(2*sqrt(968) + sqrt(8) + sqrt(32)/sqrt(64)). -192*sqrt(5)/31 Simplify (5*(sqrt(66) + -1*sqrt(66)))/(sqrt(66)/(sqrt(11) + sqrt(176))) - (((sqrt(11) - sqrt(539))*6 + sqrt(11) - sqrt(11)) + 1 + -4)**2. -14265 - 216*sqrt(11) Simplify ((4 + (sqrt(396)/(-5*sqrt(9)))/sqrt(4) + (sqrt(5324)*-2)/sqrt(4))*3)**2. -7992*sqrt(11)/5 + 1223379/25 Simplify (((sqrt(162) - (sqrt(162) + 3 + 3 + sqrt(162)))*1 + (sqrt(162) + -4*sqrt(162))*-4 + -4 + -5)*-1)**2. -2970*sqrt(2) + 19827 Simplify 3 + (-4 + -1*sqrt(1100)*-3 + (sqrt(1100) + -2*sqrt(1100))*-5)**2*1 + -2. -640*sqrt(11) + 70417 Simplify ((sqrt(216)/((sqrt(48) + sqrt(3888))/sqrt(4)))/(sqrt(270)/sqrt(5)*4))**2. 1/4800 Simplify (4*-2*sqrt(2904) + (sqrt(2904) - -1*sqrt(2904)*4))/(sqrt(8) + sqrt(8) + 3*sqrt(288) + sqrt(80)/(-3*sqrt(10) - sqrt(10)) + sqrt(8)). -132*sqrt(3)/83 Simplify ((4*sqrt(875))/((2*sqrt(125) - sqrt(125)) + sqrt(125) + sqrt(125))*4)**2*-2. -3584/9 Simplify sqrt(288)*-5*5 + (4 + 5 + (sqrt(8) - sqrt(8)*2))**2. -336*sqrt(2) + 89 Simplify (sqrt(4752) + sqrt(4752)*4 - sqrt(231)/(sqrt(21)/sqrt(3)))/(2*sqrt(891)*2 + 1*sqrt(891)*6). 59*sqrt(3)/90 Simplify 5*((sqrt(66) + (sqrt(66)*-1 - sqrt(66)))*-5 + sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)*-2*3)/(sqrt(24)/((sqrt(120)/sqrt(3) + sqrt(40))/sqrt(10))). 20*sqrt(11) Simplify (-2*-4*sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + (-4*sqrt(88) - sqrt(88)))*6))/((1*sqrt(576) + sqrt(576))/(sqrt(2) - (-1*sqrt(72) + sqrt(72)))). -11*sqrt(11)/12 Simplify ((-1*sqrt(72)*-1 - sqrt(72)*-2*-1)*2 + -5 + (4*(0 + sqrt(72)) - (sqrt(72) + (sqrt(72) - (4 + sqrt(72) + -1)))))**2. -24*sqrt(2) + 76 Simplify ((4*sqrt(280)/sqrt(112)*4)/(-5*(sqrt(32) + 1*sqrt(3872))))**2. 1/180 Simplify -2 + (sqrt(196)/(3*sqrt(7)) + sqrt(700) + sqrt(700)*-3)/(sqrt(40)/(-1*sqrt(10)) - ((sqrt(32) - (sqrt(32) - sqrt(32)*-1))/sqrt(8) + sqrt(4))). -2 + 29*sqrt(7)/3 Simplify (-2*1*sqrt(78) + (sqrt(78) + (sqrt(78) - -2*sqrt(78)) - sqrt(78))*-1)/(sqrt(150)*3*-2*1). sqrt(13)/6 Simplify (sqrt(56)/sqrt(2) + sqrt(7) - (sqrt(7) + ((sqrt(252))**2*4 - sqrt(7)))) + (-5 + -3*sqrt(63)/sqrt(9))*1. -1013 Simplify ((sqrt(84)*5)/sqrt(6)*6)/(sqrt(7) + sqrt(56)/sqrt(72) - sqrt(14)/(1*sqrt(2))). 90*sqrt(2) Simplify ((-2*(((0 + sqrt(1584))*-5 - (sqrt(1584) + 4 + -1 + sqrt(1584))) + 1))**2 + 5)*1. 1344*sqrt(11) + 310485 Simplify 5*(sqrt(2178) + 1*sqrt(2178) + sqrt(2178) + sqrt(2178) + (-4*sqrt(1800) - sqrt(1800)))/(sqrt(225)*3 + (sqrt(9) + sqrt(27)/sqrt(3))*6). -10*sqrt(2)/9 Simplify -1 + (-2 + -6*-6*(sqrt(425) + -4))**2*1. -52560*sqrt(17) + 572115 Simplify (((sqrt(405) - sqrt(405)*4*1) + sqrt(405))*-4)/(sqrt(18)/(sqrt(10)/sqrt(500))). 12*sqrt(5)/5 Simplify (-6*(2*(3*sqrt(187) - sqrt(187)) + sqrt(187))/(sqrt(11) + sqrt(396)*2)*-5)**2. 382500/169 Simplify -3*sqrt(684)*-6 + -1 + (4 + 5 + (sqrt(1539) - (sqrt(1539) + 0)))**2. 80 + 108*sqrt(19) Simplify (0 + (-1*(sqrt(114)*-1 - sqrt(114)) + sqrt(114) + -6*sqrt(114)*1 + sqrt(114))/((sqrt(486) - (sqrt(486) + -2*sqrt(486)))*5 - 2*sqrt(486)*2))**2. 19/729 Simplify 5*1*5*(sqrt(209)/(sqrt(11)*-3) - (sqrt(19) - 5*(-2 + sqrt(19))))**2*2. -11000*sqrt(19)/3 + 159950/9 Simplify 2 + (2*(sqrt(84) + sqrt(84)*-2*-4))/((sqrt(72) + -6*sqrt(72)*1)/sqrt(6)). -18*sqrt(7)/5 + 2 Simplify (sqrt(330)/sqrt(864) - sqrt(495)/sqrt(1089))/(6*(sqrt(5) - sqrt(40)/sqrt(8)) + sqrt(30)/sqrt(6)*-1). sqrt(11)/132 Simplify ((sqrt(1053) - (sqrt(1053)*1 + 2)) + sqrt(1053) - (sqrt(1053)*1 + 2) - 1*(-5 + -2*sqrt(468)*3))**2. 72*sqrt(13) + 16849 Simplify (-1 + ((-1 + sqrt(3) + sqrt(3))*-1 + sqrt(3) - (-1 + sqrt(3)*2)**2) + -4*(sqrt(3) + sqrt(24)/(sqrt(32)/sqrt(4)))*-4)*-1. -35*sqrt(3) + 13 Simplify ((sqrt(11) + -5 + sqrt(44) + 3)**2 - 6*(-2 + 2*sqrt(11))) + ((2*sqrt(99)*-3)/((-3*sqrt(108) + sqrt(108))/sqrt(12) - sqrt(9)))**2. -24*sqrt(11) + 159 Simplify (((sqrt(114) + -2*sqrt(114))*2 - sqrt(114))/((-1*sqrt(72))/sqrt(12) - sqrt(6) -
{ "pile_set_name": "DM Mathematics" }
**3. 84*m**3 Collect the terms in -400*z**3 - 2 - 1249*z**3 - 574*z**3 + 2. -2223*z**3 Collect the terms in 1774*g**3 + 1768*g**3 + 1614*g**3 - 5272*g**3. -116*g**3 Collect the terms in -11799*q + 43467*q + 164825*q. 196493*q Collect the terms in -41859*f**3 - 328*f**3 - 6131*f**3. -48318*f**3 Collect the terms in -1382*q**3 - 28889*q - q**2 + 28893*q - 259*q**3. -1641*q**3 - q**2 + 4*q Collect the terms in -6*t + 48478*t**2 - 11*t**3 - 11 - 48478*t**2 + 11. -11*t**3 - 6*t Collect the terms in 393*z - 251*z + 20864140 - 20864140. 142*z Collect the terms in 59 + 2*f**2 + 59 - 278 + 68 + 62. 2*f**2 - 30 Collect the terms in -1293 + g**2 + 9872*g + 1293. g**2 + 9872*g Collect the terms in 49*v - 2387537 + 4772138 - v**3 - 2384601. -v**3 + 49*v Collect the terms in 1724251 - 4*z**2 - 3448460 + 1724209. -4*z**2 Collect the terms in -3763*a**2 + 17*a + 15*a - 3736*a**2 + 7561*a**2 - 32*a. 62*a**2 Collect the terms in 5*c**3 - 123*c**3 - 69*c**3 + 13*c**3 - c**3 - 67*c**3. -242*c**3 Collect the terms in -14425*t**3 - 7256*t**3 + 1906*t**3. -19775*t**3 Collect the terms in -272*f**2 - 266*f**2 + 38*f**3 + 538*f**2 + 222*f - 39*f**3. -f**3 + 222*f Collect the terms in -9258*i + 3072*i + 3119*i + 3070*i. 3*i Collect the terms in -5828*h + 46224*h - 8685*h. 31711*h Collect the terms in 128*o - o**3 - 17*o**2 - 80*o - 68*o. -o**3 - 17*o**2 - 20*o Collect the terms in -1843713*g**3 - 20*g**2 - 10*g**2 + 1843716*g**3. 3*g**3 - 30*g**2 Collect the terms in -51877*c**3 - 6169*c**3 - 17278*c**3. -75324*c**3 Collect the terms in 4354*b - 879*b + 769*b + 1871*b + 600*b. 6715*b Collect the terms in -2106576*x + 4076183*x - 1969606*x. x Collect the terms in -3*m + 2198143 + 2*m + m + 3*m - 2198207. 3*m - 64 Collect the terms in -7*j**2 + 42249*j**3 + 7*j**2 + 2*j - 42267*j**3. -18*j**3 + 2*j Collect the terms in 12*k**3 + 6 - 1124*k**2 + 41551*k**2 - 4 - 10*k**3. 2*k**3 + 40427*k**2 + 2 Collect the terms in -73890 + 1782837*b + 73890. 1782837*b Collect the terms in 15*w**2 + 0*w**2 + 15*w**2 + 4*w**2 + 10*w**2 + 17*w**2 - 38*w**2. 23*w**2 Collect the terms in -47 + 22 + 12101*x**2 - 2*x**3 + 20. -2*x**3 + 12101*x**2 - 5 Collect the terms in 15948*t**2 - 8000*t**2 + 16399*t - 16399*t - 7973*t**2. -25*t**2 Collect the terms in -168*s + 76*s + 414 + 35 + 91*s. -s + 449 Collect the terms in 17494 - 52534 - 2604*r + 17524 + 17516. -2604*r Collect the terms in 1 + 31*n**2 - 29*n**2 - 29 + 13*n - 13*n. 2*n**2 - 28 Collect the terms in -15*n + 784622*n**3 + 18*n - 783310*n**3. 1312*n**3 + 3*n Collect the terms in -1077 - 38*f + 1077 + 49*f - 7*f - 25*f. -21*f Collect the terms in -895*b + 1612*b - 948*b + 80 + 1443*b + 1723*b. 2935*b + 80 Collect the terms in -141 - 828901*k**3 + 1657793*k**3 - 828888*k**3. 4*k**3 - 141 Collect the terms in 37*q**3 - 255*q**3 + 117*q**2 + 25*q**2 + 33*q**2 + 17*q**2. -218*q**3 + 192*q**2 Collect the terms in -t**3 - 29905018 + 9*t**2 + 10*t**3 + 29905018 - t**2. 9*t**3 + 8*t**2 Collect the terms in 158*j + 723*j + 1125*j + 813*j + 167*j. 2986*j Collect the terms in 11309633*o**3 - 3 + 3 - 11309735*o**3. -102*o**3 Collect the terms in -105 - 113 - 156 - 108 + f + 465. f - 17 Collect the terms in 7596273 + 7596266 - 15192532 - 2*m. -2*m + 7 Collect the terms in -42*z**3 + 2925*z**3 + 267594*z - 267594*z. 2883*z**3 Collect the terms in -16*n + 0*n + 11*n + 11958 + 3*n. -2*n + 11958 Collect the terms in -6151*r**2 + 12620*r**2 - 6482*r**2. -13*r**2 Collect the terms in 2071 + 2073 - 6244 + m + 2102. m + 2 Collect the terms in -162252*s + 2*s**2 + 324582*s - 5*s**2 + 4*s**2 - 162330*s. s**2 Collect the terms in -697*s - 6 - 2 + 201*s - 222*s + 2. -718*s - 6 Collect the terms in -5416*s**3 + 1522*s**3 + 2320*s**3 + 1529*s**3. -45*s**3 Collect the terms in -1870*v**3 - 1160*v**3 - 2156*v**3. -5186*v**3 Collect the terms in -10871*q + 3586*q + 7255*q. -30*q Collect the terms in 88*j**3 + 1786*j**2 + 29*j**3 + 1776*j**2 - 3510*j**2. 117*j**3 + 52*j**2 Collect the terms in -2531650*o - 2531682*o + 17*o**3 + 5063332*o. 17*o**3 Collect the terms in -69*b**3 - 153*b**3 - 156*b**3. -378*b**3 Collect the terms in 0 + 87*i**3 + 18543*i - 18552*i - 5. 87*i**3 - 9*i - 5 Collect the terms in -2191691 + 1095844 + 1113*o - 1144*o + 1095845. -31*o - 2 Collect the terms in -13396*o**3 + 13452*o**3 + 58*o**2 - 122*o**2 - 2 + 64*o**2. 56*o**3 - 2 Collect the terms in 4050*y - 91 + 192 - 101. 4050*y Collect the terms in 99*y**3 + 5335 - 2666 - 2671 + 13*y**3. 112*y**3 - 2 Collect the terms in 7*m - 11*m + 17*m + 2057*m**2 - 13*m. 2057*m**2 Collect the terms in 53*r**2 + 18*r**2 + 82*r**2 + 5*r**2 - 298*r**2 + 6*r**2. -134*r**2 Collect the terms in -634 + 151 - g**2 - 10*g**2 + 147 + 190 + 152. -11*g**2 + 6 Collect the terms in -196*u**3 - 653 + 1306 - 653 - 824*u**3. -1020*u**3 Collect the terms in 377*k**2 - 1774*k**2 + 367*k**2 + 359*k**2 + 182*k**2 + 187*k**2. -302*k**2 Collect the terms in 1678 + 0*a**2 + 2*a**2 + 14267 - 17624 + 1679. 2*a**2 Collect the terms in -22126*r**2 - 40743*r**2 - 3166*r**2. -66035*r**2 Collect the terms in 7*t**3 + 7557 - 3743 - 3809. 7*t**3 + 5 Collect the terms in 3990325*x - 7406065*x - 13253888*x. -16669628*x Collect the terms in -34*v + 1776*v**2 - 35*v - 31*v + 132*v - 32*v. 1776*v**2 Collect the terms in -26*s**3 - 114*s**3 + 142*s**3 - 92*s**2. 2*s**3 - 92*s**2 Collect the terms in 103431*y - 103431*y - 8032*y**3. -8032*y**3 Collect the terms in -508*y**2 + 5*y**3 + 1611*y**2 + 6534*y**2. 5*y**3 + 7637*y**2 Collect the terms in -7*p**3 + 6*p**3 - 18*p**3 + 4699*p - 2294*p - 2405*p. -19*p**3 Collect the terms in 1 + 17*h**2 - 186*h**2 + 40*h**2 + 61*h**2 + 1 - 3. -68*h**2 - 1 Collect the terms in 17495 - 2935 - 2*h + 32033 + 30600 - 7706. -2*h + 69487 Collect the terms in 872*d**2 - 1348*d**2 - 6420*d**2. -6896*d**2 Collect the terms in -1045886 + 1045886 - 9*g**2 + 12*g**2. 3*g**2 Collect the terms in 86838*j**2 + 85633*j**2 + 30058*j**2 - 60316*j**2. 142213*j**2 Collect the terms in 5*k - 8*k + 7*k + 58*k**2 + 8*k**2 - 59*k**2. 7*k**2 + 4*k Collect the terms in 6*y**3 - 672140*y**2 + 672133*y**2 + 26*y**3. 32*y**3 - 7*y**2 Collect the terms in -35*w - 42*w - 36*w - 35*w - 38*w - 33*w + 204*w. -15*w Collect the terms in 18*t - 14*t + t + 10*t - 19*t - 5*t. -9*t Collect the terms in 53486 - 26*l + 53433 + 53477 - 160394. -26*l + 2 Collect the terms in -669 - 143 - d**2 + 707. -d**2 - 105 Collect the terms in 114180*z**3 + z + 2*z**2 + 96116*z**3 - 3*z. 210296*z**3 + 2*z**2 - 2*z Collect the terms in -394*b**2 + 16942*b**2 + 1375*b**2. 17923*b**2 Collect the terms in -17*m - 56 + 30*m + 113 - 47 - 49 + 39. 13*m Collect the terms in -9*a**2 + 133415311788 - 133415311788. -9*a**2 Collect the terms in 12959*v - 9*v**3 + 5*v**3 - 6485*v - 6486*v - 6*v**3. -10*v**3 - 12*v Collect the terms in -8145*t**3 - 7742*t**3 - 642*t + 15888*t**3. t**3 - 642*t Collect the terms in -9663*c**2 - 8271*c**2 - 26183*c**2. -44117*c**2 Collect the terms in -11 + 1 - 15 - 2 + 494503*i. 494503*i - 27 Collect the terms in -1562 + 8354*l - 1514 + 3076. 8354*l Collect the terms in 38*w**3 - w**2 + 33710*w - 33710*w - 85*w**3 + 76*w**3. 29*w**3 - w**2 Collect the terms in 11040 - 3*j + j - 11049 + j - 3*j. -4*j - 9 Collect the terms in 1430 - 1422 - 71941*b - 41163*b + 14368*b. -98736*b + 8 Collect the terms in -98 - 19942*w + 9984*w + 9911*w. -47*w - 98 Collect the terms in 227*x + 245*x - 802*x + 292*x. -38*x Collect the terms in -290321520*a**2 + 8*a + 0*a + 145160773*a**2 + 145160751*a**2 - 8*a. 4*a**2 Collect the terms in -79*b + 18*b + 20*b + 22*b + 28*b - 10*b + 77. -b + 77 Collect the terms in 20704*p**2 + 3*p + 53945*p**2 - 142097*p**2 - 3*p. -67448*p**2 Collect the terms in -222409 - 291*v**2 + 222409 + 292*v**2. v**2 Collect the terms in -552 - 551 - 487 - 12*d**2 + 1590. -12*d**2 Collect the terms in 2389*p + 2720*p + 2388*p - 7551*p. -54*p Collect the terms in -14*a + 154*a**2 - 43 + 13 + 30 - 312*a**2 + 159*a**2. a**2 - 14*a Collect the terms in 7 - 12*v - 2 + 5*v + 6*v + 57 + 23. -v + 85 Collect the terms in 10201*w - 4507*w - 4854*w. 840*w Collect the terms in -2733*b + 5313*b - 2553*b. 27*b Collect the terms in -512891125917*l + 20*l**3 + 512891125917*l - 7*l**3. 13*l**3 Collect the terms in 7761 - 374 - i - 7398. -i - 11 Collect the
{ "pile_set_name": "DM Mathematics" }
xpand (5*l**3 - l**3 - 3*l**3)*(-3*l**2 + 4*l**2 + 0*l**2) + l**5 - l**5 - 2*l**5 - 2*l**2 + 2*l**2 - 2*l**5 + (2*l + 0*l - 4*l)*(4*l**4 - 4*l**4 - 2*l**4). l**5 Expand (-1 - 3 + 1)*(x + 4*x**3 + 5*x**3 - 4*x**3). -15*x**3 - 3*x Expand (-2*u**2 + 3*u**2 - 2*u**2)*(-14 + 46 + 42). -74*u**2 Expand (0*a**2 + 0*a**2 - 2*a**2)*(5*a**3 - 22 + 22) + (2*a - a + 0*a)*(a**4 - a**4 - a**4) + 3*a**5 - 5*a**5 + 0*a**5. -13*a**5 Expand (-11*f**3 - 14*f + 14*f)*(-2*f**2 + 0 + 0) - f**5 - 1 + 2*f**5 + 0*f**5. 23*f**5 - 1 Expand (2*z + z + 0*z)*(4 - 2 - 6)*(-z**3 - z**3 - z**3). 36*z**4 Expand (0 + 2 + 0)*(0*d + 6*d - 3*d)*(0*d**4 - 5*d**4 + 2*d**4). -18*d**5 Expand 11*i**3 - 5*i + 5*i**3 - 20*i**3 + (i**2 + 2*i**2 - i**2)*(-2*i + 2*i - 2*i). -8*i**3 - 5*i Expand (0*j + 0*j + j)*(3 + 7 + 1 + 0). 11*j Expand (-12*c - c + c)*(0 + 4 - 2) + (2*c - 2*c + 2*c)*(-1 + 2 + 1). -20*c Expand (2 - 2 - 6*u**2 + u)*(-5 + 4 + 5). -24*u**2 + 4*u Expand (0*f + 0*f - 2*f)*(-4*f**2 - f**3 + 4*f**2) + (2 - 2 - 2*f)*(-3*f**3 + 4*f**3 - 2*f**3) - 4*f**4 + 7*f**4 + f**4. 8*f**4 Expand (10*n**4 + 3*n**3 - 12*n**4 + 4*n**3)*(0 + 4 - 1). -6*n**4 + 21*n**3 Expand (i - 4 - 5*i + 3*i)*(i**3 - 5*i**2 + 5*i**2) - 2*i**3 + 2*i**3 - 9*i**4. -10*i**4 - 4*i**3 Expand -23 + 23 - 3*k**5 - 4*k - 2*k**5 + 4*k + (4*k**3 + k**3 - 2*k**3)*(0*k + 0*k - 2*k**2). -11*k**5 Expand (-4*l**3 + 2*l**3 - l**3)*(-3*l**2 + 3*l**2 - l**2) - 2*l**4 + 2*l**5 - 2*l**4 - 3*l**5. 2*l**5 - 4*l**4 Expand (-4*u + 3 + 6*u + 0*u)*(-4 + 1 + 0). -6*u - 9 Expand (-5 + 5 - 7*a)*(a + 2*a + a). -28*a**2 Expand (-7 + 21 - 8)*(2*b + 2 - 2)*(3 - 2 + 2). 36*b Expand (-2*d + d - 5 + 3)*((4*d - 2*d - 3*d)*(-2 + 1 + 3) + 2*d + 0*d - d + d + d + 0*d + 2*d - 1 - 5*d - 1). 2*d**2 + 6*d + 4 Expand (-1 + 3 + 0)*(-3 + 5 + 2)*(-3*q - q + q). -24*q Expand ((-6*m**3 + m**3 + 3*m**3)*(3 - 1 - 1) + m**2 - m**2 - 2*m**3)*(22*m - 7*m - 6*m). -36*m**4 Expand (2*p - p + p)*(-1 + 1 + p) + (-11*p + 3*p + 0*p)*(2*p - 4*p + 3*p) + 1 - 1 + p**2. -5*p**2 Expand (2 + 2*x - 2)*(0 + 4 - 6)*(-11*x - 9*x + 6*x). 56*x**2 Expand (4 - 4 - 5)*(t**3 - 2*t + 2*t)*(0*t + 3*t + 0*t). -15*t**4 Expand -20 + 20 + 5*a**4 + (0*a**2 + 0*a**2 - a**3)*(3*a - a - a) - 2*a + 2*a + 2*a**4 - 4*a**4 - a**4 + 3*a**4. 4*a**4 Expand (0*w**3 + 3*w**3 - 2*w**3)*(5*w - 5*w - 3*w**2)*(-4 + 2 + 1). 3*w**5 Expand (l**2 + 2*l**3 - l**2)*(-5 + 2 - 2) - 2*l**3 + l**3 - l**3. -12*l**3 Expand (4*q**4 - q**4 - 5*q**4)*(1 - q - 1) + (-2*q**3 - 4 + 4)*(-q**2 + 0*q**2 - q**2). 6*q**5 Expand (-3*w**2 - 2*w + 2*w)*(-5*w**2 + 4*w**2 + 6*w**2) + w**4 - w**4 + w**4. -14*w**4 Expand (q**3 - q**3 + 2*q**3)*(2*q + 0*q + 4*q) + (q**2 - 4*q**2 + 2*q**2)*(0*q + 0*q + 2*q**2). 10*q**4 Expand (0*u - 2*u + 4*u)*(-2 - 3 + 3) + 2*u - u - 2*u - 3*u + u + u + (6*u + u + 0*u)*(-2 + 2 - 2). -20*u Expand (1 - 3 + 5)*(2*l - 3*l**2 - 2*l). -9*l**2 Expand (-2*t + 4*t - t + (1 + 1 + 0)*(-3 + 3 - t) - 3*t - t + 6*t)*(0 - 3 + 2). -t Expand (5 - 5 - 1)*(-4 + 4 + 2*a)*(a + 2*a - 5*a)*(-a + 14*a - 8*a). 20*a**3 Expand (5*n + 2 - 5*n + 16*n)*(-3 + 3 - n). -16*n**2 - 2*n Expand (2*g**2 + 0*g**2 + 0*g**2)*(-5*g + 0*g + g + 3*g**2). 6*g**4 - 8*g**3 Expand (-2*b**2 - 3 + 3)*(2*b + b - b) - b**3 - 2*b + 2*b. -5*b**3 Expand (-8 - 1 + 7)*(-y**5 + 3*y**5 + 0*y**5). -4*y**5 Expand 0*i**5 + 0*i**5 - i**5 - i**4 + i**5 - 5*i**5 + 2*i**5 + (0 + 0 - 2*i**5)*(-2 + 4 - 1). -5*i**5 - i**4 Expand (-6 + 2 + 3)*(4*p - 2*p + 0*p) + 2*p - 3*p + 4*p - 6*p + 4*p + 3*p. 2*p Expand -141*h + 300*h + 3 - 146*h + (-3 + 3 - 2)*(h + 3*h - 3*h) - h + 4*h - 5*h - 1 + 2*h + 1. 11*h + 3 Expand (3 + 0 - 1)*(-2*d + 2*d + 5*d + (-1 + 3 - 1)*(0*d + 0*d - d) + 3*d + 0*d - d). 12*d Expand (-2*u - u + u)*(-4*u - 2*u + 7*u). -2*u**2 Expand (0*x + 2*x - 3*x)*(26 - 49 + 9). 14*x Expand -c + c - c**2 + (-1 + c + 1)*(-4*c + c + c) - 2*c**2 + 4*c**2 + 0*c**2 + 2*c**2 + 1 - c - 8*c + 8*c. c**2 - c + 1 Expand 2*d**3 + 3*d**3 - 3*d**3 + (0*d + 0*d - 2*d**2)*(0 + 0 + 2*d) - 2*d**3 - 3*d + 3*d - 3*d**3 + 0*d**3 + d**3 + (4*d**2 - 4*d**2 + 2*d**3)*(-11 + 4 - 3). -26*d**3 Expand -5*k**2 - k + 0*k - k + 1 + k**2 - 2*k**2 - k**2 + (-3 + k + 3)*(-3*k + k + k). -8*k**2 - 2*k + 1 Expand (-2 + 1 + 2)*(-5*r + 2*r + 4*r) - 2*r + 3*r - 4*r - 7 + 3*r + 7. r Expand (1 + 1 - 17)*(0 + 0 - 3)*(0 + j + 0). 45*j Expand (-5*b**2 + 3*b**2 + 3*b**2)*(2*b - 4*b + 5*b)*(-2 - 2*b**2 + 2) + b**5 - 2*b**5 + 0*b**5. -7*b**5 Expand 2*p**3 - 3*p**3 + 3*p**3 + (5*p**2 - 3*p**2 - p**2)*(0*p + 3*p + 0*p). 5*p**3 Expand 0*x**2 + 5*x**2 + x**2 + (-2 + x**2 + 2)*(-3 + 0 + 1) + (-4 + 6 - 3)*(-2*x**2 + 2*x**2 - x**2) - x**2 - 6*x**2 + 5*x**2. 3*x**2 Expand (-7*g + 7*g + 3*g)*(-2*g - 3*g + 6*g)*(-2*g**3 - 2*g**3 + 6*g**3). 6*g**5 Expand 4351 - 4351 - 5*r + 5 - 2*r - 5 + (-2*r - 2 + 2)*(1 - 4 + 4). -9*r Expand (10 + 0 - 1 + (-2 + 2 + 1)*(1 - 2 + 0))*(-4*f**2 + 3*f**2 - f**2). -16*f**2 Expand 0*n**2 + 5*n**2 - 3*n**2 + 2*n**2 + 4*n**2 - 4*n**2 + (-4 + 5 + 1)*(0*n**2 - n**2 - n**2) - 1 + 1 + n**2 - 7*n**2 + 8*n**2 + 18*n**2. 20*n**2 Expand (-u**3 - 5*u**3 + 5*u**3)*(-216 - 6*u + 216) + 0*u**3 + 0*u**3 + u**4. 7*u**4 Expand 23 + 207*r - 3 - 206*r + (0 - 1 - 1)*(5*r - r - 3*r) - 2 - 2*r + 2. -3*r + 20 Expand (-1 + 6 - 3)*(1 - 1 + 3*p)*(-p + 8 - 8). -6*p**2 Expand (2*r - 4*r + 4*r)*(0*r**2 - 13*r**2 + 3*r**2)*(-2 + 2*r + 2). -40*r**4 Expand (3*a**3 + a + a + 0*a)*(0*a + 5*a - 3*a)*(2 - 2 - 1). -6*a**4 - 4*a**2 Expand (6*q + 4*q - 6*q)*(q + 0 + 0)*(-q - 3*q + 2*q). -8*q**3 Expand (3*i**4 - i**4 + i**4)*(0 + 0 + 2*i + (-2 - 4 + 4)*(-i + 1 - 1)). 12*i**5 Expand (v + 5*v - 2*v)*(5 + 2 - 1)*(-2 + 2 - 1)*(v + 3*v - 2*v). -48*v**2 Expand (3*b - 2*b - 2*b)*(2 + 3 + 3)*(5*b - 2*b - 5*b). 16*b**2 Expand (1 - 7*p - 2*p + 4*p)*(0*p**3 - 4*p**3 + 3*p**3). 5*p**4 - p**3 Expand (w + 2*w - w)*(4 - 4 - 1) - 2 + 2 - 2*w + 0*w + 2*w - w + (4*w + 0*w - 2*w)*(-2 + 5 - 2). -w Expand 3 + 2*z - 1 - 4*z + (-3*z + z + z)*(-3 + 8 + 3). -10*z + 2 Expand (-2*w + 0*w + 0*w)*(16 + 4*w**2 - 16) - w**3 - w**3 + 4*w**3 + 4*w**3 + 0*w**3 - 2*w**3. -4*w**3 Expand (j + 2*j - 4*j)*(j - 27 + 66 + 42). -j**2 - 81*j Expand 2 - 104*q**2 - 104*q**2 + 210*q**2 + 12*q + (2 + 0 - 3)*(-2*q**2 - 3*q**2 + 3*q**2). 4*q**2 + 12*q + 2 Expand (6 - 5 - 2)*(t + 0*t - 2*t) - t + 5*t - 2*t. 3*t Expand (0*g - 3*g + 0*g)*(3*g + 5*g**2 + 3*g**3 - 5*g**2). -9*g**4 - 9*g**2 Expand (4 - 6 + 1)*(4 + z - 4)*(-z**2 + 3*z**2 - 3*z**2). z**3 Expand (7*q**4 - 3*q**4 - 3*q**4)*(-4*q + 2*q - 4*q). -6*q**5 Expand (-1 + 4 - 3 + 273*c)*(2 + 0 + 0). 546*c Expand -4*w**5 - w**5 + 9*w**5 + (-4*w**3 + 3*w**3 - w**3)*(4*w**2 - 3*w**2 - 2*w**2). 6*w**5 Expand (3 + 0 + 0)*(-x + 0*x + 2*x) - 4*x + x + x. x Expand ((2 - 2 + 1)*(0*s + 0*s + s**2) + 98 + 40*s**2 - 98)*(-s + 4 - 4). -41*s**3 Expand -3*y + 4*y - 2*y + (-1 + 7 - 4)*((0 + 3 - 1)*(3 + 1 - 5) + 40 - 1 - 4)*(2 - 2*y - 2). -133*y Expand (43 - 35 - 24)*(-7*o + o + 3*o). 48*o Expand 12 + 3*c**5 - 13 - 5*c**5 + (c + 0*c + c)*(-2*c**4 + 0*c**3 + 0*c**3) + c**5 - 2*c**5 - 2*c**5. -9*c**5 - 1 Expand (1 + 3*r**2 - 1)*(3*r + 10*r + 2 - 17*r). -12*r**3 + 6*r**2 Expand -13*j**3 - 4*j**2 + 4*j**2 + 4*j**2 - 2*j**3 - 4*j**2 + (-j**2 - 2*j**2 + 4*j**2)*(1 - 1 + j) + (3*j + 2 - 2)*(j + j**2 - j). -11*j**3 Expand (-2*u**3 + 6*u**3 - 3*u**3)*(5 + 1 - 4)*(3 - 5 + 7). 10*u**3 Expand 3 - 7 - 3*z + z + (3 - 3 - 2*z)*(5 - 1 + 0) - 2*z + 4 - 4. -12*z - 4 Expand (-2*d + 0 + 0)*(-3*d + 2 - 2) + d**2 - 2*d + 2*d + d**2 + d - d + 4*d**2 - 3*d**2 - 3*d**2 + (-2*d + 2*d + d**2)*(-2 + 0 + 6) + d**2 - 4 + 4. 11*d**2 Expand (-1 - 2*j + 1)*(10*j**2 + 4*j - 4*j) + 3*j**3 + 0*j**3 + 6*j**3. -11*j**3 Expand n**3 - 2*n**3 + 3*n**3 + (0*n**3 - n**3 + 4*n**3)*(-2 + 5 - 2) - 1 - 6*n**3 + 0 + 25*n**3. 24*n**3 - 1 Expand (-2 + 3 + j + 3*j)*(3 - 4 + 2). 4*j + 1 Expand -14*r**2 - 14*r - 19 + 12*r**2 + 17 + (5*r - 5*r - 2*r)*(2*r + 0*r + 0*r) + 0 + 0 - 2*r**2 + 2*r + 2*r**2 - 2*r. -6*r**2 - 14*r - 2 Expand (5*z - 3*z - 3*z)*(-3*z + 4*z + 0*z) + z**2 - 2*z**2 - z**2 + (2*z + 8*z - 3*z)*(1 - z - 1) + 8 - 6*z**2 - 8. -16*z**2 Expand (-3*a**3 + 2*a**3 + 6*a**3)*(-4 + 4 - 4 + 2*a). 10*a**4 - 20*a**3 Expand (5 - 5 - 5*k)*(0*k**2 + 2*k**2 - k**2)*(3 - 2*k - 3 + (1 - 1 - 2)*(2*k + 2*k - 2*k) + k + 1 - 1 + 3*k + 3*k - 5*k). 20*k**4 Expand (-1 - j + 1)*(-20 - 4 - 5). 29*j Expand (-2*n + 4 - 4)*(-
{ "pile_set_name": "DM Mathematics" }
(40). 9*sqrt(5)/2 Simplify sqrt(34)/sqrt(800)*-1. -sqrt(17)/20 Simplify ((0 + (sqrt(448) - (sqrt(448) - ((sqrt(448) - (sqrt(448) - (sqrt(448) + 1) - sqrt(448) - sqrt(448) - sqrt(448))) + sqrt(448)))) + 3)*-1)**2. 320*sqrt(7) + 11216 Simplify (-4*(sqrt(152) + (-2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152)))/((1*sqrt(64))/sqrt(8)). 8*sqrt(19) Simplify (sqrt(20) - sqrt(40)/sqrt(2))/sqrt(10) + sqrt(2) - (sqrt(8) + 5). -5 - sqrt(2) Simplify (3*(sqrt(20) + (sqrt(20) + sqrt(20)*-1 - sqrt(20)) - sqrt(20)))/(sqrt(4)*-2*-3). -sqrt(5)/2 Simplify (sqrt(1458) + 0)**2 + 4. 1462 Simplify 2*(4 + sqrt(2)) + 5*sqrt(8). 8 + 12*sqrt(2) Simplify 6*sqrt(5)*-2 - (sqrt(5) - (sqrt(5) - (sqrt(245) + 0))**2). -13*sqrt(5) + 180 Simplify (-2*2*sqrt(78))/(sqrt(60)/(sqrt(10)*3)). -12*sqrt(13) Simplify (sqrt(96)/(sqrt(88)/sqrt(11)))/sqrt(4). sqrt(3) Simplify ((-1*sqrt(832) + -1)*-2 + -1)**2. 32*sqrt(13) + 3329 Simplify (5*(sqrt(1053) + 2)*1)**2. 900*sqrt(13) + 26425 Simplify -4*sqrt(44)*1. -8*sqrt(11) Simplify sqrt(50)*-2*1*-3. 30*sqrt(2) Simplify (sqrt(68) - -2*sqrt(68)*3)/(sqrt(108)/sqrt(3)). 7*sqrt(17)/3 Simplify -2*((2*sqrt(15)/sqrt(3))**2 - (((sqrt(5) + 2*sqrt(5) + sqrt(5))*5)**2 - sqrt(5))). -2*sqrt(5) + 3960 Simplify 5 + sqrt(99)*-2*2 + 4. -12*sqrt(11) + 9 Simplify 5*(0 + sqrt(272)). 20*sqrt(17) Simplify sqrt(45)/(-5*sqrt(144)). -sqrt(5)/20 Simplify (sqrt(128) + 0 + 2 + sqrt(128) + (-1 + sqrt(128))*2)**2. 2048 Simplify (5*sqrt(170)*-3)/sqrt(10). -15*sqrt(17) Simplify 2 + sqrt(125) + -3. -1 + 5*sqrt(5) Simplify (5 + -1*sqrt(11))*2 + ((sqrt(110)*-2)/sqrt(10) + sqrt(11)*-2*5)**2. -2*sqrt(11) + 1594 Simplify (2 + (((sqrt(7) - sqrt(14)/sqrt(2)*-3) + sqrt(7))**2 - sqrt(7)))*6. -6*sqrt(7) + 1062 Simplify (sqrt(540)/sqrt(6))/(sqrt(160)/sqrt(2)). 3*sqrt(2)/4 Simplify (6*(sqrt(1573) + -4))**2. -3168*sqrt(13) + 57204 Simplify -4 + 2 + 0 + (sqrt(18)/sqrt(6))**2. 1 Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + -2)*-1))**2 + 0. -96*sqrt(11) + 6340 Simplify sqrt(209)/(-4*(sqrt(44)/sqrt(4) + sqrt(11))). -sqrt(19)/8 Simplify (sqrt(84)*2 - sqrt(84) - sqrt(21))/(sqrt(363)*-1). -sqrt(7)/11 Simplify sqrt(700) + ((sqrt(700) - (sqrt(700) + 2) - sqrt(700))**2 - sqrt(700)) - sqrt(84)/(sqrt(12)*-1 - sqrt(12) - sqrt(12)). 121*sqrt(7)/3 + 704 Simplify sqrt(176)*-3*-1. 12*sqrt(11) Simplify ((2*sqrt(52))/sqrt(2))/(2*sqrt(32)). sqrt(13)/4 Simplify sqrt(1088)*-1 + -5 + sqrt(1088) - sqrt(153)/(sqrt(9) - (sqrt(99)/(sqrt(22)/sqrt(2)) - sqrt(9))). -5 - sqrt(17) Simplify (sqrt(35)/(2*sqrt(112)))**2. 5/64 Simplify (sqrt(931) + -3 + 1*sqrt(931) - (sqrt(931) + 0)*-3)**2. -210*sqrt(19) + 23284 Simplify ((sqrt(1300) + sqrt(1300) + 3)*-3)**2. 1080*sqrt(13) + 46881 Simplify (4 + (-2*sqrt(50))/sqrt(10))*2. -4*sqrt(5) + 8 Simplify (-2 + 2*sqrt(3))*-2. -4*sqrt(3) + 4 Simplify (-3 + -4 + sqrt(24)/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(84)/sqrt(7))))**2. 7*sqrt(2) + 99/2 Simplify (sqrt(228) + -4*-2*sqrt(228))/(sqrt(12) - sqrt(12)*-2*6). 9*sqrt(19)/13 Simplify -4*(1 + sqrt(405) + 2)**2. -1656 - 216*sqrt(5) Simplify (6*(sqrt(70) - -1*sqrt(70)) - sqrt(70))/(sqrt(40)*-6 - sqrt(10)). -11*sqrt(7)/13 Simplify sqrt(171) + -3 + 1 + 1. -1 + 3*sqrt(19) Simplify (4*sqrt(14)/sqrt(7) + sqrt(2))**2 + 4. 54 Simplify (-1*((-1*sqrt(136) - sqrt(136)) + sqrt(136)))/(sqrt(80)/(sqrt(30)/sqrt(3))). sqrt(17) Simplify ((sqrt(1100) + 1)**2*-3 - sqrt(1100)) + sqrt(1100). -3303 - 60*sqrt(11) Simplify 0 + sqrt(637)*-5 + 3. -35*sqrt(13) + 3 Simplify -6*(0 + sqrt(847) + sqrt(847) - sqrt(847))*-5. 330*sqrt(7) Simplify ((sqrt(11) - sqrt(22)/sqrt(2)) + 5)**2 - (-2 + sqrt(1100))**2. -1079 + 40*sqrt(11) Simplify -6*6*(-1 + sqrt(7)). -36*sqrt(7) + 36 Simplify -5 + -5 + sqrt(39)/sqrt(3) + 5 + (sqrt(52))**2. sqrt(13) + 47 Simplify 5*(-1*sqrt(19) + -2 + -1). -5*sqrt(19) - 15 Simplify 0 + sqrt(6)/(sqrt(8)/sqrt(4)) + (sqrt(3) + -1)**2 + 2. -sqrt(3) + 6 Simplify sqrt(15)/sqrt(243) + -2. -2 + sqrt(5)/9 Simplify (3*sqrt(720))/(-6*sqrt(18)/sqrt(2)). -2*sqrt(5) Simplify ((3 + 0 + sqrt(19) - sqrt(19)) + (sqrt(38) + sqrt(38)*1)/sqrt(2))**2. 12*sqrt(19) + 85 Simplify (-1 + sqrt(17) + sqrt(68) + -1)**2. -12*sqrt(17) + 157 Simplify ((sqrt(2695)*1)/(-3*sqrt(45) + sqrt(5)))**2. 539/64 Simplify -4 + (sqrt(152) - sqrt(38))/sqrt(2) + 4 + 2. 2 + sqrt(19) Simplify sqrt(33)/(sqrt(11) + (sqrt(44) - sqrt(11))) - (1*((sqrt(75) - sqrt(3)) + sqrt(3)))**2. -75 + sqrt(3)/2 Simplify sqrt(24)/(sqrt(8) - (sqrt(32) + sqrt(8))) + sqrt(450)/sqrt(6). 9*sqrt(3)/2 Simplify -5*(((-2*sqrt(44) - sqrt(44))/sqrt(4))**2 + 1). -500 Simplify (-2 + sqrt(13))**2*5 + -5. -20*sqrt(13) + 80 Simplify (2 + sqrt(1584))**2 - (sqrt(396)*1)**2. 48*sqrt(11) + 1192 Simplify (3 + (-1 + -2*sqrt(75) + sqrt(75) - sqrt(75))*-3)**2. 360*sqrt(3) + 2736 Simplify (-5*1*sqrt(20))/sqrt(10). -5*sqrt(2) Simplify -5*sqrt(12)*2. -20*sqrt(3) Simplify (-1*(((sqrt(84) + -1*sqrt(84))*6)/sqrt(12) + -5))**2. 25 Simplify (5 + 1*sqrt(114)/sqrt(6)*-1)**2. -10*sqrt(19) + 44 Simplify ((1*sqrt(136)*-4)/(sqrt(16)/sqrt(2)*-4))**2 + -5. 12 Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*3*2) + sqrt(77) - sqrt(77))) - sqrt(77)) - sqrt(77))/(sqrt(891)*1). -2*sqrt(7)/9 Simplify -2 + (-4 + sqrt(10)/sqrt(2))*5. -22 + 5*sqrt(5) Simplify ((5*(sqrt(468) - (0 + sqrt(468))) - sqrt(468))*4)**2. 7488 Simplify (2*sqrt(119)/(sqrt(14)/sqrt(2)))**2 + -3. 65 Simplify 2*sqrt(350)/(sqrt(189)/sqrt(3)). 10*sqrt(2)/3 Simplify 3 + (-5 + (sqrt(700) - (0 + sqrt(700)) - sqrt(700)))**2 + -1. 100*sqrt(7) + 727 Simplify (sqrt(539) - (2 + sqrt(539))*5)*-1. 10 + 28*sqrt(11) Simplify (3 + sqrt(448) + -1 + sqrt(448) + sqrt(448) + sqrt(448))**2. 128*sqrt(7) + 7172 Simplify ((sqrt(231) - -2*sqrt(231))/sqrt(11))/(sqrt(3) - ((sqrt(300)*2 - sqrt(300)) + sqrt(3))). -3*sqrt(7)/10 Simplify sqrt(833) - ((sqrt(833) - ((sqrt(833) + sqrt(833) + 1)**2 + sqrt(833))) + 3). 35*sqrt(17) + 3330 Simplify -4*(4*sqrt(272) + sqrt(17))*-3. 204*sqrt(17) Simplify ((sqrt(1764) - -2*sqrt(1764)) + sqrt(1764) - sqrt(1764) - sqrt(36))/(-3*sqrt(48)/sqrt(4))*-5. 100*sqrt(3)/3 Simplify -1*-2*(sqrt(13) + 3 + -1)**2. 8*sqrt(13) + 34 Simplify -5*(0 + sqrt(11)) + 5. -5*sqrt(11) + 5 Simplify (-6*(2*sqrt(30) + sqrt(30)))/((sqrt(66) - (sqrt(66) - 3*sqrt(66)))/sqrt(11)). -6*sqrt(5) Simplify -1 + (-3*sqrt(475) + sqrt(19))**2. 3723 Simplify (sqrt(153) + sqrt(153)*-1 + sqrt(153))**2 - (sqrt(425) - sqrt(17))*-4. 16*sqrt(17) + 153 Simplify ((sqrt(228)*1 + sqrt(228))*4)/((sqrt(144) - (sqrt(144) + -2*sqrt(144) + sqrt(144)))/sqrt(12))*-6. -48*sqrt(19) Simplify -1 + 2*sqrt(112). -1 + 8*sqrt(7) Simplify -5*((sqrt(11) + -1)*6 + 1 + sqrt(55)/sqrt(5))**2. -2820 + 350*sqrt(11) Simplify (sqrt(243) - sqrt(243)*2*-2)**2. 6075 Simplify ((-3*sqrt(126))/sqrt(2))/(5*sqrt(27)/sqrt(3)). -3*sqrt(7)/5 Simplify -4*sqrt(22)/sqrt(2) + 1 - 2*sqrt(99)*-6. 1 + 32*sqrt(11) Simplify ((0 + sqrt(180) - sqrt(180)) + 3)**2. 9 Simplify (-4*(sqrt(170) + -2*sqrt(170)) - sqrt(170))/(sqrt(250)*-1). -3*sqrt(17)/5 Simplify (sqrt(312)/(sqrt(12)*2))/(sqrt(72)*-2). -sqrt(13)/24 Simplify 1*(6*(sqrt(3)*-1)**2 - (sqrt(27) + -2)**2). -13 + 12*sqrt(3) Simplify 5*(sqrt(468) - (-2 + sqrt(468)))*3. 30 Simplify (sqrt(500) + sqrt(500) + sqrt(500) + (sqrt(500) - ((sqrt(500) - sqrt(500)*2) + sqrt(500) + 4 - sqrt(500))) - (3 + sqrt(500)*1))**2. -560*sqrt(5) + 8049 Simplify sqrt(119)/(-1*sqrt(252)). -sqrt(17)/6 Simplify ((5*sqrt(99)*-2)/(sqrt(9) + sqrt(36)/sqrt(144)))**2. 39600/49 Simplify sqrt(19) + -1 + -3 - (sqrt(2299) - 3*sqrt(2299)). -4 + 23*sqrt(19) Simplify (sqrt(1900) - -3*(sqrt(1900) + (sqrt(1900) + sqrt(1900) + sqrt(1900) + 1 - sqrt(1900))))**2 + -6*(sqrt(19) + (sqrt(19) - sqrt(38)/(1*sqrt(2)))). 594*sqrt(19) + 190009 Simplify sqrt(95)/(-5*1*sqrt(5)). -sqrt(19)/5 Simplify (sqrt(121) - 3*-1*sqrt(121))/(sqrt(825)/sqrt(3)). 4*sqrt(11)/5 Simplify 2*(-5 + (sqrt(1331) + (-5 + sqrt(1331) + -2 - sqrt(1331) - sqrt(1331)))**2). 88 Simplify sqrt(114)/(sqrt(48)/sqrt(8) + sqrt(6)) + sqrt(152)/sqrt(8)*-6. -11*sqrt(19)/2 Simplify ((-2 + sqrt(468) + 1)*3)**2 + 2. -108*sqrt(13) + 4223 Simplify 1 + (sqrt(60)/sqrt(5))**2. 13 Simplify ((-2 + (2*sqrt(114))/sqrt(6) + 0)*-6)**2. -288*sqrt(19) + 2880 Simplify (-2*(0 + sqrt(125) - sqrt(125)) - (1 + sqrt(125) + -2))**2. -10*sqrt(5) + 126 Simplify (-1*(sqrt(704) - (sqrt(704) + (sqrt(704)
{ "pile_set_name": "DM Mathematics" }
z). (z - 1)*(z + 1)*(4*z + 1)/6 Let u be (1 - -9)/((-12)/(-18)). What is m in 5*m**3 + 7*m**4 + 9*m**3 - 3*m**2 - 4*m - u*m**2 + 11*m**4 - 10*m**5 = 0? -1, -1/5, 0, 1, 2 Let g = -17212 + 17214. Let b be (-5)/(-15) + (-2 - -2). Factor 0 + 2/3*f + 4/3*f**3 - 5/3*f**g - b*f**4. -f*(f - 2)*(f - 1)**2/3 Let k be (-618)/(-8) + (-2)/(-16)*-2. Let s = -39 + k. Let -36*o - 9*o**3 + 13*o + s*o**2 - 21*o - 4 + 12 = 0. What is o? 2/9, 2 Determine v so that -17*v + 1481 + 22*v**3 + 319*v - 164*v**2 - 4*v**4 + 1264 - 2397 - 144*v**3 = 0. -29, -2, -1, 3/2 Let b(n) be the first derivative of 2704*n**5/5 + 728*n**4 + 212*n**3/3 + 2*n**2 + 6576. Determine f so that b(f) = 0. -1, -1/26, 0 Let t = -334 - -338. Suppose 4 = t*g - 4*h, -h + 2 = 3*g - 5*h. Factor 4/7*j - 10/7*j**g + 6/7*j**3 + 0 - 2/7*j**5 + 2/7*j**4. -2*j*(j - 1)**3*(j + 2)/7 Find m, given that 323*m - 20*m**4 + 392*m**2 - 751 + 159*m + 88*m - 723 - 44*m**3 + 2*m**5 + 574 = 0. -3, 1, 5, 10 Suppose -33*f**2 + 290/3*f + 1/3*f**3 - 64 = 0. What is f? 1, 2, 96 Suppose -14/9*w**5 + 22*w + 4 + 284/9*w**2 - 32/9*w**4 + 104/9*w**3 = 0. What is w? -3, -1, -2/7, 3 Suppose 3*v + 3*i - 153 = 0, 0 = 5*v + i - 6*i - 265. Let t be 1*(3 - v/16)*-1. Factor -1/4*n**4 + 0 + 5/4*n**2 + t*n**5 - 3/4*n**3 - 1/2*n. n*(n - 1)**3*(n + 2)/4 Let m be ((-546)/52 - -7)/(14/(-8)). Let 4 + 11*s + 5/2*s**m = 0. What is s? -4, -2/5 Let m(h) be the third derivative of -h**6/180 + 13*h**5/90 - 10*h**4/9 - 314*h**2. Solve m(v) = 0. 0, 5, 8 Suppose -90*x = -70*x - 100. Suppose 4 = 4*u - 4*a + a, -4*u + 36 = x*a. Factor 4/5*z - 2/5*z**u + 2/5 - 4/5*z**3 + 0*z**2. -2*(z - 1)*(z + 1)**3/5 Factor 0 - 158/19*v**2 + 156/19*v + 2/19*v**3. 2*v*(v - 78)*(v - 1)/19 Suppose 360 = 5*o + 10*o. What is u in 64 - 37 - 63 - o - 50*u**2 + 5*u**3 - 115*u = 0? -1, 12 Let s be 5390/9240*(-16)/(-14). Let 0 - 4*x + s*x**2 + 2/3*x**3 = 0. Calculate x. -3, 0, 2 Suppose 0 = -5*t - 4*p - 473, 467 = -5*t - 3*p + 2*p. Let g = -89 - t. Factor g - b**5 - b + 4*b**4 + 8*b**3 - b**5 - 8*b**2 - 3*b - 2*b**5. -4*(b - 1)**3*(b + 1)**2 Suppose -2*v - 5*x = -544, -5*v - 2*x + 1360 = -x. Let n = 273 - v. Suppose 1/4*k**3 - n + k**2 - 1/4*k = 0. Calculate k. -4, -1, 1 Determine z, given that -2 + 4*z**4 - 388*z**3 - 188*z + 76*z**3 - 7*z**5 - 10 + 59*z**5 - 440*z**2 = 0. -1, -1/13, 3 Let w(v) be the third derivative of -1/40*v**6 + 0 - 1/4*v**5 - 3/8*v**4 + 0*v + 9/2*v**3 - 55*v**2. Factor w(l). -3*(l - 1)*(l + 3)**2 Factor -83905438 + 3606266*c - 2*c**4 - 7*c**4 - 7810146*c**2 + 14523*c**3 + 1483719475*c - 88442889*c + 551068054. -3*(c - 538)**3*(3*c + 1) Suppose -22*o - 80 = -2*o. Let u(m) = 10*m**2 + 57*m + 62. Let j(s) = 12*s**2 + 56*s + 64. Let q(l) = o*u(l) + 3*j(l). Suppose q(b) = 0. What is b? -14, -1 Let z = 209 - 3341/16. Let r = 119/48 + z. What is u in -4/3*u**5 + r*u**3 + 0*u**2 + 0*u + 4/3*u**4 + 0 = 0? -1, 0, 2 Let o = 15847/282 - 7430/141. Factor 1/2*z**5 + 0*z - 2*z**2 - o*z**3 - z**4 + 0. z**2*(z - 4)*(z + 1)**2/2 Suppose 12 = -3*k - 3*h, -7*k - 5*h = 44 - 34. Let n(v) be the second derivative of -1/10*v**k + 42*v + 5*v**3 + 8*v**2 + v**4 + 0. Factor n(d). -2*(d - 8)*(d + 1)**2 Suppose 9 = 5*a - 21, -v - 6 = -a. Let d(z) be the first derivative of -4 + 1/5*z**5 - 4/3*z**3 + 2*z**2 - 1/4*z**4 + v*z. Factor d(g). g*(g - 2)*(g - 1)*(g + 2) Let y(j) = 11*j**2 - 3572*j + 1065644. Let q(b) = -90*b**2 + 28575*b - 8525151. Let x(v) = -4*q(v) - 33*y(v). Factor x(c). -3*(c - 596)**2 Let y(d) be the second derivative of -7/102*d**4 - 1/34*d**5 - 2/51*d**3 + 36*d + 0 + 0*d**2. Find a such that y(a) = 0. -1, -2/5, 0 Let j(t) be the second derivative of t**6/36 + 34*t**5/45 + 217*t**4/36 - 98*t**3/9 - 57*t**2/2 - 60*t. Let x(f) be the first derivative of j(f). Factor x(m). 2*(m + 7)**2*(5*m - 2)/3 Let o(m) be the first derivative of 17*m**4/6 + 40*m**3/9 + m**2 - 2058. What is a in o(a) = 0? -1, -3/17, 0 Let k be 10/50*10 + (0 - 0). Factor 8636*j**k - 12*j - 20 - 8641*j**2 - 8*j. -5*(j + 2)**2 Let r = 791 - 783. Let s be (25/30)/(1 + 2/r). Factor -8/3*b**3 - 8/3*b + 4*b**2 + s + 2/3*b**4. 2*(b - 1)**4/3 Let w(l) be the second derivative of -l**4/21 + 776*l**3/3 - 526904*l**2 - 18*l + 27. Factor w(i). -4*(i - 1358)**2/7 Suppose -x + 48 = -36. Let z = 87 - x. Find t, given that -1/5*t**4 + 4/5*t + 3/5*t**2 - 4/5 - 2/5*t**z = 0. -2, 1 Let w(o) be the first derivative of 60*o + 4/5*o**5 + 0*o**3 - 6*o**4 - 158 + 44*o**2. Factor w(g). 4*(g - 5)*(g - 3)*(g + 1)**2 Let q(k) be the second derivative of k**4/108 + 4*k**3 + 648*k**2 - 34*k - 16. Find r such that q(r) = 0. -108 Let q(p) be the third derivative of -p**6/1500 - 11*p**5/375 + 79*p**4/300 + 4*p**3/3 - 3077*p**2. Factor q(r). -2*(r - 4)*(r + 1)*(r + 25)/25 Solve -10512 + 1070173*z**2 - 1071317*z**2 + 2193*z + 4*z**3 - 9165*z = 0 for z. -3, 292 Let j(n) be the second derivative of 5*n**4/12 - 5*n**3/3 - 560*n**2 - 55*n + 14. Solve j(v) = 0. -14, 16 Suppose -60 = -14*q + 8*q. Let n be 11/4 + q/40. Factor 2/3*j**2 + 0 - 1/3*j**n + 0*j. -j**2*(j - 2)/3 Let n be 68/6 + 69/(-207). Factor 0*l**2 + 0*l**2 - 12*l**2 + 3*l**2 + 2*l + n*l**2. 2*l*(l + 1) Let r(m) be the third derivative of 0*m**7 - 1/504*m**8 + 0*m**3 - 1/36*m**4 + 0*m**5 + 1/90*m**6 + 0*m + 0 - 76*m**2. Factor r(k). -2*k*(k - 1)**2*(k + 1)**2/3 Suppose h - 15 = -3*i, 5*h - 15 = -i + 6*i. Suppose 0 = -c - 2*y - h, -5*y - 41 = c - 5*c. Factor 30*z**3 + 623*z**c + 1 - 618*z**4 - 1 + 45*z**2. 5*z**2*(z + 3)**2 Find v, given that 3*v**2 - 15*v**2 + 8*v + 0 + 507*v**4 - 255*v**4 + 10 - 8*v**3 - 250*v**4 = 0. -1, 1, 5 Find y such that -48/23*y**2 + 0 - 2/23*y**3 - 126/23*y = 0. -21, -3, 0 Let x = 211 + 29. Suppose 9*u = x + 39. Let 1 + 30*h**5 + 17*h**2 + u*h**2 - 57*h**4 - 12*h - 27*h**3 - 1 = 0. Calculate h. -1, 0, 2/5, 1/2, 2 Let s(g) be the first derivative of -g**5/5 + g**4/4 + g**3/3 + g - 72. Let u(z) = -z**4 + 4*z**3 - 5*z**2 - 2. Let q(h) = -2*s(h) - u(h). Factor q(a). 3*a**2*(a - 1)**2 Suppose 708 + 102*g**2 - 1617/2*g - 3/2*g**3 = 0. What is g? 1, 8, 59 Let p = -553 + 557. Let x = -44 - -685. What is y in 36*y**3 - 14*y**4 - p*y + 609*y**5 + 8*y**2 - x*y**5 + 6*y**4 = 0? -1, -1/2, 0, 1/4, 1 Let w(x) be the third derivative of 1/21*x**7 + 35/24*x**4 + 0 + 19/48*x**6 + 0*x**3 - 2*x - 85*x**2 - 61/24*x**5. Suppose w(n) = 0. What is n? -7, 0, 1/4, 2 Let l = 6/319 + -35421/638. Let d = 225/4 + l. Factor -15/4*s**2 + 0 - 3/2*s - d*s**4 - 3*s**3. -3*s*(s + 1)**2*(s + 2)/4 Factor -90*k**3 + 0 + 1/2*k**5 + 0*k - 31/2*k**4 + 0*k**2. k**3*(k - 36)*(k + 5)/2 Suppose -212/3*l + 80/3 + 14*l**3 + 110/3*l**2 = 0. What is l? -4, 2/3, 5/7 Let r = 913 - 897. Let k be (-15)/(-14 - r) + 2/(-20). Factor 0 + 4/5*j + 6/5*j**3 - 2/5*j**4 - k*j**5 + 2*j**2. -2*j*(j - 2)*(j + 1)**3/5 Let n(h) be the third derivative of h**7/504 + h**6/144 - 5*h**5/4 + 49*h**4/12 - 2*h**2 + 38. Let i(z) be the second derivative of n(z). Factor i(d). 5*(d - 5)*(d + 6) Let p(d) be the third derivative of d**7/1050 - 3*d**6/200 + d**5/30 + 3*d**4/10 - 28*d**3/15 - 68*d**2 + 4*d - 1. Find a such that p(a) = 0. -2, 2, 7 Let v(k) be the third derivative of 2*k**7/105 - k**6/15 - 4*k**5/5 + 3*k**4 + 18*k**3 + 7*k**2 + 83*k. What is i in v(i) = 0? -3, -1, 3 Let -50/11*b**4 + 4698/11*b**2 + 4112/11*b + 1720/11*b**3 + 1184/11 = 0. Calculate b. -1, -4/5, 37 Suppose 22*d = 53*d. Suppose d = a + 3*h + 13, -4*h + 2 = -4*a - 6*h. Factor 4/3*u + 4/3*u**a + 0. 4*u*(u + 1)/3 Determine u so that 32/3 - 908/3*u**2 - 272/3*u**3 + 44*u**4 - 472/3*u = 0. -1, 2/33, 4 Let l(r) = 7*r**3 + 73*r**2 + 76*r - 4. Let k(a) = -190*a**3 - 1970*a**2 - 2055*a + 110. Let x(i) = -2*k(i) - 55*l(i). Find m such that x(m) = 0. -14, -1, 0 Factor 539*b**3 - 522*b**3 + 7*b**2 - 1881*b**3 - 1396*b**3 + b**2. -4*b**2*(815*b - 2) Let m be ((-1)/7)/(792/(-924))*4 + 0. Solve 38/3*d - 40/3*d**2 + m*d**3 + 0 = 0. 0, 1, 19 Let q(v) = -8*v - 4. Let l be q(-13). Suppose -b - 4*b + l = 0. Factor -32 - b*n + 25*n**2 + 60 - 24. (5*n - 2)**2 Let r(l) be the third derivative of l**7/1260 - l**6/30 - l**5/120 + 35*l**4/72 + 4*l**3/3 + 23*l**2 - 5*l + 2. Factor r(q). (q - 24)*(q - 2)*(q + 1)**2/6 Let h = -260840 + 260842. Determine m, given that -3/4*m - 1/4*m**3 - m**h + 0 = 0. -3, -1, 0 Let r(u) = u**4 - 18*u**3 + 24*u**2 + 13*u - 45. Let j(z) = z**4 - 17
{ "pile_set_name": "DM Mathematics" }
b**2 + 138751*b - 500 What is the g'th term of -38839568, -38839573, -38839578, -38839583, -38839588, -38839593? -5*g - 38839563 What is the j'th term of 1463, 12016, 40687, 96530, 188599, 325948, 517631, 772702? 1509*j**3 + 5*j**2 - 25*j - 26 What is the r'th term of -669720, -668968, -668216, -667464? 752*r - 670472 What is the m'th term of -1211215, -4844847, -10900901, -19379377? -1211211*m**2 + m - 5 What is the m'th term of 21383, 42424, 63127, 83492, 103519, 123208, 142559? -169*m**2 + 21548*m + 4 What is the x'th term of 3446535, 6893065, 10339595, 13786125, 17232655, 20679185? 3446530*x + 5 What is the r'th term of 4864, 10252, 15640, 21028? 5388*r - 524 What is the s'th term of 2843, 5388, 7703, 9782, 11619, 13208, 14543, 15618? -s**3 - 109*s**2 + 2879*s + 74 What is the j'th term of -114045984, -228091971, -342137958, -456183945? -114045987*j + 3 What is the s'th term of 72672, 145349, 218026, 290703? 72677*s - 5 What is the u'th term of -58, -410, -1236, -2764, -5222, -8838? -38*u**3 - 9*u**2 - 59*u + 48 What is the d'th term of -89679, -179246, -268701, -358044, -447275? 56*d**2 - 89735*d What is the f'th term of 2133804, 4267517, 6401230? 2133713*f + 91 What is the o'th term of -1603665, -6414663, -14432993, -25658655, -40091649? -1603666*o**2 + 1 What is the d'th term of -138463444, -276926899, -415390354? -138463455*d + 11 What is the m'th term of 389522, 779130, 1168738, 1558346, 1947954? 389608*m - 86 What is the l'th term of -127193, -254270, -381347, -508424? -127077*l - 116 What is the o'th term of -42991, -172064, -387185, -688354, -1075571, -1548836, -2108149? -43024*o**2 - o + 34 What is the t'th term of -3174838, -3174831, -3174824? 7*t - 3174845 What is the n'th term of 454, 689, 738, 595, 254? -n**3 - 87*n**2 + 503*n + 39 What is the z'th term of 2647, 4308, 5967, 7624, 9279? -z**2 + 1664*z + 984 What is the d'th term of -21269, -42473, -63675, -84875, -106073? d**2 - 21207*d - 63 What is the h'th term of 371886, 743678, 1115470? 371792*h + 94 What is the y'th term of -392, -1030, -1892, -2978? -112*y**2 - 302*y + 22 What is the l'th term of 41666, 43069, 44472, 45875? 1403*l + 40263 What is the j'th term of -335552, -1342213, -3019982, -5368859, -8388844, -12079937, -16442138? -335554*j**2 + j + 1 What is the k'th term of -97192, -98305, -99418, -100531, -101644, -102757? -1113*k - 96079 What is the r'th term of -10192010, -10192035, -10192076, -10192133, -10192206, -10192295? -8*r**2 - r - 10192001 What is the c'th term of 52543, 105164, 157785? 52621*c - 78 What is the m'th term of -5334, -20690, -36044, -51396, -66746, -82094, -97440? m**2 - 15359*m + 10024 What is the h'th term of -6232252, -12464504, -18696756, -24929008? -6232252*h What is the w'th term of -36702, -73148, -109594? -36446*w - 256 What is the h'th term of 2795568, 2795573, 2795578, 2795583? 5*h + 2795563 What is the i'th term of -1244343, -1244163, -1243983, -1243803? 180*i - 1244523 What is the r'th term of 15301, 15327, 15353? 26*r + 15275 What is the c'th term of -46289, -80598, -114907, -149216, -183525, -217834? -34309*c - 11980 What is the i'th term of -72875892, -72875896, -72875902, -72875910? -i**2 - i - 72875890 What is the u'th term of 5196, 41223, 139014, 329451, 643416? 5147*u**3 - 2*u + 51 What is the t'th term of 10527297, 21054602, 31581907, 42109212? 10527305*t - 8 What is the g'th term of -265509, -530856, -796203, -1061550, -1326897, -1592244? -265347*g - 162 What is the k'th term of 244042, 244094, 244146, 244198, 244250, 244302? 52*k + 243990 What is the x'th term of -2010, -1690, -1386, -1098? -8*x**2 + 344*x - 2346 What is the a'th term of -2628, -4839, -7084, -9363, -11676, -14023? -17*a**2 - 2160*a - 451 What is the i'th term of -69314, -73368, -77422, -81476, -85530, -89584? -4054*i - 65260 What is the m'th term of 36588275, 36588272, 36588269, 36588266? -3*m + 36588278 What is the a'th term of 2520937, 5041862, 7562787, 10083712, 12604637, 15125562? 2520925*a + 12 What is the o'th term of 442279, 442217, 442155? -62*o + 442341 What is the p'th term of 1696339, 3392393, 5088433, 6784453, 8480447, 10176409, 11872333? -p**3 - p**2 + 1696064*p + 277 What is the q'th term of -34365, -34579, -34935, -35433? -71*q**2 - q - 34293 What is the q'th term of 2363, 2616, 3133, 3992, 5271, 7048, 9401, 12408? 13*q**3 + 54*q**2 + 2296 What is the l'th term of -54204, -108376, -162486, -216498, -270376, -324084? 6*l**3 - 5*l**2 - 54199*l - 6 What is the f'th term of -162, -1217, -2994, -5499, -8738, -12717? -f**3 - 355*f**2 + 17*f + 177 What is the w'th term of -726841, -1453697, -2180553, -2907409, -3634265? -726856*w + 15 What is the i'th term of 340, 1394, 3146, 5602, 8768, 12650, 17254? i**3 + 343*i**2 + 18*i - 22 What is the p'th term of -345, 222, 1135, 2394, 3999, 5950, 8247? 173*p**2 + 48*p - 566 What is the g'th term of -219831757, -439663514, -659495271, -879327028, -1099158785? -219831757*g What is the k'th term of -23746, -47969, -72194, -96421, -120650, -144881? -k**2 - 24220*k + 475 What is the y'th term of -446, -883, -1302, -1703, -2086, -2451, -2798? 9*y**2 - 464*y + 9 What is the i'th term of 2033683, 2033666, 2033625, 2033548, 2033423, 2033238? -2*i**3 - 3*i + 2033688 What is the p'th term of -454395, -908932, -1363471, -1818012, -2272555, -2727100? -p**2 - 454534*p + 140 What is the o'th term of 483322, 966110, 1448898, 1931686, 2414474? 482788*o + 534 What is the n'th term of 19026298, 38052593, 57078888, 76105183, 95131478, 114157773? 19026295*n + 3 What is the h'th term of 1365482, 2730827, 4096172, 5461517? 1365345*h + 137 What is the g'th term of -267787, -267857, -267941, -268045, -268175, -268337, -268537? -g**3 - g**2 - 60*g - 267725 What is the y'th term of 540, -98, -3112, -9690, -21020? -198*y**3 + 748*y - 10 What is the i'th term of -149953, -149988, -150045, -150130, -150249, -150408, -150613, -150870? -i**3 - 5*i**2 - 13*i - 149934 What is the u'th term of -22832, -91256, -205302, -364970, -570260, -821172? -22811*u**2 + 9*u - 30 What is the s'th term of 67448, 59625, 51802, 43979, 36156? -7823*s + 75271 What is the u'th term of 5063315, 10126221, 15189125, 20252027, 25314927, 30377825, 35440721? -u**2 + 5062909*u + 407 What is the j'th term of 180786, 180809, 180832, 180855, 180878? 23*j + 180763 What is the h'th term of 7658, -1646, -10950, -20254? -9304*h + 16962 What is the r'th term of 450299, 450297, 450289, 450275, 450255, 450229? -3*r**2 + 7*r + 450295 What is the o'th term of -124, -911, -2302, -4297? -302*o**2 + 119*o + 59 What is the t'th term of 11829553, 23659098, 35488643, 47318188, 59147733, 70977278? 11829545*t + 8 What is the d'th term of 80607568, 80607566, 80607564, 80607562? -2*d + 80607570 What is the l'th term of -310249, -310248, -310245, -310240? l**2 - 2*l - 310248 What is the y'th term of -19074858, -19074856, -19074854? 2*y - 19074860 What is the y'th term of 162652, 317125, 471598? 154473*y + 8179 What is the f'th term of -13482959, -13482969, -13483001, -13483067, -13483179, -13483349, -13483589, -13483911? -2*f**3 + f**2 + f - 13482959 What is the t'th term of 6204180, 6204160, 6204140, 6204120, 6204100, 6204080? -20*t + 6204200 What is the h'th term of -154102, -154083, -154064, -154045? 19*h - 154121 What is the i'th term of -72, -677, -2500, -6207, -12464, -21937, -35292? -111*i**3 + 57*i**2 + i - 19 What is the h'th term of 12807100, 51228411, 115263928, 204913651, 320177580? 12807103*h**2 + 2*h - 5 What is the q'th term of 1690142, 1690210, 1690294, 1690400, 1690534, 1690702, 1690910, 1691164? q**3 + 2*q**2 + 55*q + 1690084 What is the f'th term of -6001, -1738, 2531, 6806, 11087, 15374? 3*f**2 + 4254*f - 10258 What is the r'th term of 13816778, 27634036, 41451306, 55268594, 69085906, 82903248, 96720626? r**3 + 13817251*r - 474 What is the q'th term of -10178, -20982, -32398, -44426, -57066, -70318, -84182? -306*q**2 - 9886*q + 14 What is the j'th term of -229, -124, 81, 398, 839, 1416? 2*j**3 + 38*j**2 - 23*j - 246 What is the a'th term of -35353180, -35353194, -35353208, -35353222? -14*a - 35353166 What is the j'th term of 2012, 1498, 810, 86, -536? 23*j**3 - 225*j**2 + 2214 What is the f'th term of 2635757, 10543029, 23721809, 42172091, 65893869, 94887137? -f*
{ "pile_set_name": "DM Mathematics" }