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scaling_mia_the_pile_00_DM_Mathematics

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(-220)/(-33))/(4/18*r). What is the first derivative of -s*y**3 - 7 + 0*y + 0*y + 11 wrt y? -30*y**2 Let s = 4 + -1. Differentiate -49*d**s - 48*d**3 + 23*d**3 - 22 wrt d. -222*d**2 Let n(c) be the third derivative of -1079*c**5/30 - 1625*c**4/24 - 823*c**2 + 2. What is the second derivative of n(t) wrt t? -4316 Let s(n) be the first derivative of -2698*n**5/5 - 199*n**3 + n + 1173. Find the third derivative of s(r) wrt r. -64752*r Let c(m) = 2209*m**4 + 4*m**3 + 4364*m**2 - 4*m. Let z(h) = -2*h**4 - h**3 + h. Let k(f) = c(f) + 4*z(f). What is the third derivative of k(w) wrt w? 52824*w Suppose 3*x + 3*j - 12 = 0, 0 = -x - 2*j - 0*j + 5. What is the third derivative of -7*q**5 - 37*q**2 - 1 + 9*q**5 - 12*q**6 + 63*q**2 - x*q**6 + 0*q**6 wrt q? -1800*q**3 + 120*q**2 Find the third derivative of 35*k**2 + 18*k**2 - 1596*k**3 - 60*k**2 + 2 + 24*k**2 wrt k. -9576 Suppose -630*k + 2 = -629*k. Let u(h) = 2*h**2 + 3*h - 4. Let a be u(-3). What is the second derivative of -2*o**2 + 20*o - 7*o**2 + k*o**a + 9*o**2 wrt o? 40*o**3 Let i(z) = 53*z**2 - z + 2. Let r be i(1). Let k be 1/3 + 684/r. Find the first derivative of -2*p + 3*p + k - 5*p - 7*p wrt p. -11 Let j(h) be the first derivative of -4561*h**7/7 - h**3/3 + 449*h**2/2 - 4*h + 3175. What is the third derivative of j(b) wrt b? -547320*b**3 What is the second derivative of -4879*l + 4409 - 447*l**2 - 1875*l**2 + 4880*l - 1018*l**2 wrt l? -6680 Differentiate 48*i - 1670 + 1533*i + 880*i + 832*i + 425*i with respect to i. 3718 Differentiate -44 + 1179 - 7337*w + 2405*w - 630 + 1701 wrt w. -4932 Let h(s) = s**2 + 3*s + 3. Let l be h(-5). Suppose -k - 5*t = -l, -t + 9 = -k + 2*k. What is the third derivative of -13 + 13 - k*c**2 + 18*c**3 wrt c? 108 Suppose -5*z - 3*c = -100, 4*c + 2 = -18. Let x = -18 + z. Find the third derivative of -13*y**2 - 4*y**3 + x*y**3 + 7*y**3 wrt y. 48 Find the second derivative of 47*r**5 + 5*r**2 - 137544*r + 137542*r - 44*r**5 wrt r. 60*r**3 + 10 Let a(i) = 2791*i - 3020. Let x(c) = 44655*c - 48300. Let j(f) = 33*a(f) - 2*x(f). Differentiate j(h) with respect to h. 2793 Find the first derivative of -541775*v**2 + 7908 + 8293*v - 2279*v + 541773*v**2 wrt v. -4*v + 6014 Find the second derivative of -o**3 + 466*o + o**3 + 79*o**5 - 321*o + 170*o**5 wrt o. 4980*o**3 Let n(c) = 77*c**2 - c - 7. Let v be n(8). Find the third derivative of 22*o**2 - 147*o**3 + 4913 - v wrt o. -882 Let w(m) be the first derivative of -54 - 1/5*m**5 + 78*m + 19/3*m**3 + 0*m**4 + 0*m**2. What is the derivative of w(o) wrt o? -4*o**3 + 38*o Let y(v) = -1275*v**3 - 843*v**2 - 6*v - 2. Let p(z) = -2549*z**3 - 1687*z**2 - 15*z - 5. Let c(k) = 2*p(k) - 5*y(k). Find the third derivative of c(f) wrt f. 7662 Let s be -1 - (-9)/(-36)*12*-6. Let x(p) be the first derivative of 0*p**4 + 0*p - s - 4*p**3 - 9/5*p**5 + 0*p**2. Find the third derivative of x(r) wrt r. -216*r Suppose 26 = 3*t + 44. Let x(h) = -101*h + 86. Let c(w) = -202*w + 172. Let m(j) = t*c(j) + 11*x(j). What is the first derivative of m(s) wrt s? 101 Suppose -11*h + 18 = -6*h - 3*d, 0 = -2*h - 4*d + 2. What is the derivative of 0*g**3 + 42 - 7*g**h - 39 - 61 - 13*g**2 wrt g? -21*g**2 - 26*g Let c = -526 + 530. What is the second derivative of 31*s - 7*s**c + 1 + 30*s - 86*s**4 - 16*s**4 + s**3 wrt s? -1308*s**2 + 6*s Find the second derivative of -5542*g**2 + 1086*g - 103*g + 493*g + 259*g wrt g. -11084 Let o(p) be the third derivative of -521*p**8/168 - p**7/210 - p**5/15 - 1745*p**3/6 - p**2 + 165*p. What is the third derivative of o(f) wrt f? -62520*f**2 - 24*f What is the derivative of -1499*t**3 - 509 + 103 + 113 + 103 + 116 wrt t? -4497*t**2 Let z = 18 - 2. Let t = z - 7. Find the second derivative of -t*h - 19*h**2 - 5*h + 2*h + 4*h wrt h. -38 Let w(q) = q**3 + 9*q**2 + 4*q - 12. Let n be w(-8). Let z be (n/8)/((-2)/(-1 + -11)). Differentiate z - 14 + 4*l + 0*l + 13 with respect to l. 4 Let s(q) = -35*q**3 + 25*q**2 + 82*q + 3245. Let j(r) = -12*r**3 + 9*r**2 + 26*r + 1081. Let l(g) = -8*j(g) + 3*s(g). Differentiate l(p) wrt p. -27*p**2 + 6*p + 38 Let g(o) be the first derivative of o**5/10 + 2*o**3/3 + 161*o**2/2 + 88*o + 40. Let d(f) be the first derivative of g(f). Differentiate d(q) with respect to q. 6*q**2 + 4 Find the third derivative of 2*v**2 - 314259*v**4 - 5 + 310790*v**4 + 3 + 120*v wrt v. -83256*v Suppose -2*c = -0*c - 24. What is the third derivative of 32*v**3 - v**2 + c*v**3 - 26*v**2 - 16*v**3 wrt v? 168 What is the second derivative of -13993*d + 11*d**2 - 5*d**2 + 213*d**5 + 2681*d - 2 + 2 wrt d? 4260*d**3 + 12 Let k(u) = -u**2 + 16*u - 28. Let r be k(14). Suppose 0 = -4*t - r*t + 48. Find the third derivative of 20*i**2 - t*i**2 + 10*i**5 + 20*i**2 wrt i. 600*i**2 Suppose -40 - 85 = -5*t. Suppose z + t = 6*z. What is the derivative of -11 - 11*m - m - z*m wrt m? -17 Let i(u) be the third derivative of u**7/210 + 5*u**6/2 + u**5/20 - 1231*u**3 + 22*u**2. Differentiate i(y) wrt y. 4*y**3 + 900*y**2 + 6*y Let q(h) = -68470*h - 10988. Let c(k) = -2074*k - 333. Let d(u) = -164*c(u) + 5*q(u). What is the first derivative of d(s) wrt s? -2214 Let t(o) be the second derivative of o**5/20 - 17*o**4/12 + 49*o**3/6 - 1923*o**2/2 - 559*o + 1. Differentiate t(q) with respect to q. 3*q**2 - 34*q + 49 Let s be -2 + (-3)/(-12) + (-137215)/(-20). Find the third derivative of 54*n**3 - 6859*n + 63*n**2 + s*n wrt n. 324 What is the second derivative of 24783924*s**5 - 2353*s + 8573*s - 24783938*s**5 - 58*s**4 wrt s? -280*s**3 - 696*s**2 Let s(v) be the second derivative of 1/14*v**8 + 0*v**3 - 17 + 2/15*v**6 + 0*v**5 + 4/3*v**4 + 0*v**2 + 0*v**7 - 2*v. Find the third derivative of s(o) wrt o. 480*o**3 + 96*o Suppose 5*a + 182 = 3*s, 10*a - 188 = -3*s + 12*a. What is the first derivative of -60*j**3 - s*j**3 + 7 - 95 wrt j? -372*j**2 Let q(m) = -852*m - 202. Let z(d) = -2549*d - 607. Let a(x) = -11*q(x) + 4*z(x). What is the derivative of a(i) wrt i? -824 What is the second derivative of 960*h**2 + 340*h**2 - 257*h + 263*h**2 + 643*h**2 - 950*h wrt h? 4412 Let v(w) be the second derivative of 104*w**7/7 + 118*w**3 - 117*w. Find the second derivative of v(n) wrt n. 12480*n**3 Let h(k) = 300*k**2 + 52*k - 9. Suppose 6 + 8 = -2*v. Let i(w) = 449*w**2 + 79*w - 13. Let p(d) = v*h(d) + 5*i(d). Find the second derivative of p(s) wrt s. 290 Let f(t) = 743*t**2 + 326*t - 9. Let k(j) = -739*j**2 - 329*j + 8. Let d(v) = 6*f(v) + 7*k(v). What is the second derivative of d(i) wrt i? -1430 What is the second derivative of -b**3 - 10*b**3 - 3696*b - 3*b**3 + 7*b**3 + 778*b**2 + 5*b**3 wrt b? -12*b + 1556 Find the second derivative of -2366*s - 6*s**4 - 10*s**3 + 58*s**3 + 14*s**4 + 4*s**3 + 14*s**4 wrt s. 264*s**2 + 312*s Let i(h) be the second derivative of 0*h**2 - 22 - 61/15*h**6 + 0*h**5 - 2*h - 37/6*h**3 + 0*h**4. Find the second derivative of i(s) wrt s. -1464*s**2 Let z(n) be the third derivative of n**8/48 + 37*n**6/20 - n**5/60 - 143*n**4/12 + n**3/6 - 27*n**2 + 8. Find the third derivative of z(t) wrt t. 420*t**2 + 1332 Let o(m) be the first derivative of -250*m**3 - 56*m**2 + m - 4432. Find the second derivative of o(b) wrt b. -1500 Suppose 7*a = 14 + 49. Suppose -a*h = -4*h - 890. What is the second derivative of h*o + 13*o**4 - 189*o + 0*o**4 wrt o? 156*o**2 Let t(z) = z**2 - 19*z + 72. Let i be t(14). Differentiate i*y**2 - 20*y**3 - 17 + y**2 - 3*y**2 with respect to y. -60*y**2 Let m be (-2)/(-4)*(1 + -1). Suppose m*z - 2*z + 33 = c, -2*z + 5*c = -3. What is the third derivative of z*s**2 - 20*s**3 - 8*s**3 - 2*s**2 + s**3 wrt s? -162 Let o(y) be the first derivative of -1164*y**2 + 631*y + 3332. Differentiate o(d) with respect to d. -2328 Let s(l) = 2*l + 33. Let h be s(0). Find the third derivative of -3*j**5 + 0*j**5 + 2*j**6 + h*j**2 + 25*j**2 + 0*j**6 wrt j. 240*j**3 - 180*j**2 Let o be -5 + (-2 - (-406)/21) - 8. Let a(y) be the first derivative of -19/2*y**2 + 0*y - o*y**3 - 11. Find the second derivative of a(d) wrt d. -26 Suppose 0 = -9*y + 35 - 17. What is the second derivative of 3*g**3 + 3*g - 20*g**2 - 5*g**3 - 13*g**y - 2 wrt g? -12*g - 66 Let j(f) = -f**2 + 4*f + 1. Let b(r) = -690*r**2 + 276*r + 5. Let k(g) = -b(g) + 5*j(g). Find the second derivative of k(o) wrt o. 1370 Let f(w) be the second derivative of 1/
{ "pile_set_name": "DM Mathematics" }
d**2*m**6 - d**2*m**2 - 59*d**2 + 7 wrt m. -1308240*d**2*m**3 What is the first derivative of 3363*u**4 - 1620? 13452*u**3 What is the second derivative of 179*p**5 + 133*p wrt p? 3580*p**3 Find the first derivative of 136*r**3*v + 2*r**3 - 37*r**2 wrt v. 136*r**3 What is the third derivative of 3152*o**2*r**3 - o**2*r + o*r**4 + 3*o*r**2 - 256*r wrt r? 18912*o**2 + 24*o*r Find the third derivative of -q**2*w*z**3 + 2*q**2*w*z - 2951*q*z**3 + 3*w*z**3 - w*z**2 + 238*w wrt z. -6*q**2*w - 17706*q + 18*w What is the derivative of 5*b*u - 194*b + 11*u + 2 wrt u? 5*b + 11 Find the second derivative of 3*i**5*y + 245*i**5 + i*y - 2*i + 31*y - 1 wrt i. 60*i**3*y + 4900*i**3 What is the second derivative of -1772*h**2*s*w**2 - h*s*w - 2*h*w**2 + 15*s*w**2 - 2*s wrt h? -3544*s*w**2 Differentiate -9*o**2*y - 96*o**2 - y**4 with respect to y. -9*o**2 - 4*y**3 Find the third derivative of 314*d**6 - 5*d**2 - 4 wrt d. 37680*d**3 Find the third derivative of -7726*k**3 + 4*k**2 + 3*k wrt k. -46356 Find the third derivative of 559*c**4 - 7407*c**2 wrt c. 13416*c What is the third derivative of -2*k**4*q*z - 3*k**3*q*z + k**3*q - k**2*z + 4*k*q*z + 6*k*q + 30*q*z wrt k? -48*k*q*z - 18*q*z + 6*q What is the third derivative of -22*d**2*r**6 + 414*d**2*r**2 + 2*d**2*r - 20*d*r**6 wrt r? -2640*d**2*r**3 - 2400*d*r**3 Find the second derivative of 2210*c**4 - 2*c**2 + 4938*c. 26520*c**2 - 4 What is the third derivative of 822*k**3 + 115*k**2 + 1? 4932 What is the derivative of 16*a*n + 6*a*x*z + 2*a*x - 146*n*x - n*z + 2*n wrt a? 16*n + 6*x*z + 2*x Find the third derivative of g*o*q**4 - 9*g*o*q**3 - 2*g*o*q**2 + g*q**3 - 10*g*q - 3*o wrt q. 24*g*o*q - 54*g*o + 6*g What is the third derivative of -5*a**6 + 8*a**3 - 3*a**2 + 501*a wrt a? -600*a**3 + 48 What is the derivative of -66*f*i**2 - 7*f*i + 5115*f wrt i? -132*f*i - 7*f What is the first derivative of -j**3 - 269*j**2 + 6? -3*j**2 - 538*j What is the second derivative of -c**2*n**2 - 1902*c**2 - c*n**2 - 3*c*n + 145*n**2 wrt c? -2*n**2 - 3804 Find the third derivative of 2*a**6 + 15*a**4 - 285*a**3 - 16477*a**2 wrt a. 240*a**3 + 360*a - 1710 What is the derivative of -529*i + 1516 wrt i? -529 What is the second derivative of -3*q**3*x**2 + 247*q**3*x - 1797*q*x**2 + 2*q wrt q? -18*q*x**2 + 1482*q*x Differentiate 487*a*s*v - 135*a*v wrt s. 487*a*v What is the third derivative of 65*z**4 - 9*z**3 - 964*z**2 wrt z? 1560*z - 54 Find the second derivative of 30*f**4 - 37*f wrt f. 360*f**2 What is the second derivative of -422*b**5*l**2 + b**5*l + 826*b*l**2 wrt b? -8440*b**3*l**2 + 20*b**3*l What is the second derivative of 3*r*x**3 - 3*r*x + 6*r - 135*x**4 - 221*x wrt x? 18*r*x - 1620*x**2 Differentiate 1930*l**2*n**2 + 1147*l**2 + 5*l*n**4 + 8*l with respect to n. 3860*l**2*n + 20*l*n**3 Find the third derivative of -3*k**3*p**3*r**2 - k**3*r**3 - 2*k**2*r**3 + 49*k*p*r**3 + 3*p**3*r wrt k. -18*p**3*r**2 - 6*r**3 What is the third derivative of 18*b**3*p**3 + 3*b**3*p - 26*b*p**2 - 4*p**4 wrt p? 108*b**3 - 96*p What is the second derivative of 1599*o**2*q**2 - 8*o*q**2 + 2*o*q - 19*q wrt o? 3198*q**2 Find the second derivative of f*k**2*x - 29*f*k**2 - 9*f*k*x - 5*f*k + 2*f*x wrt k. 2*f*x - 58*f Differentiate -11*f**2 - 9*f - 18 wrt f. -22*f - 9 What is the third derivative of -84*m**2*o**3 + 20*m**2 + 4*m*o**2 wrt o? -504*m**2 Find the third derivative of -5785*l**5 - 389*l**2 wrt l. -347100*l**2 Find the third derivative of -377*f**5 + 1429*f**2 wrt f. -22620*f**2 What is the second derivative of 1268*r**4 + r**2 + 12892*r - 1? 15216*r**2 + 2 Differentiate 1492*u**4*v + 2*u**2*v**3 - 15*v**3 + 9*v + 9 wrt u. 5968*u**3*v + 4*u*v**3 Find the third derivative of -101*p**3 + 119*p**2. -606 What is the second derivative of 2*d**3*f**2 + 42*d**3*f*n + 2*d**3*f + 6*d*f**2*n - d*f**2 + 3*d*f + n wrt d? 12*d*f**2 + 252*d*f*n + 12*d*f Find the third derivative of 482*w**4 + w**2 + 75*w wrt w. 11568*w What is the second derivative of 766*q**2*y**2 + q**2*y - 189*q*y wrt y? 1532*q**2 Find the third derivative of 4*b**6 - 16*b**5 + 65*b**2 wrt b. 480*b**3 - 960*b**2 Differentiate -94*p**4 + 48. -376*p**3 Find the second derivative of m**5 + 2*m**3*x**3 - 4*m**2*x + 6*m*x**3 - 2*m + 3*x**3 wrt m. 20*m**3 + 12*m*x**3 - 8*x Differentiate -209*u**4 - 376 wrt u. -836*u**3 What is the third derivative of -2*g**6 + 322*g**3 + 1827*g**2 wrt g? -240*g**3 + 1932 Find the second derivative of 5*u**2*v**2 + 3*u**2*v + 139*u*v**3 - 29*u*v + v wrt v. 10*u**2 + 834*u*v Find the second derivative of 3195*f**5 + 4669*f. 63900*f**3 What is the first derivative of -335*d*m**3 + 14*m**3 - 12*m wrt d? -335*m**3 What is the third derivative of 1172*a**3 - 9082*a**2? 7032 What is the derivative of 4*q**2*x**4 + q**2*x**2 + q**2 + 2*q - 93*x + 707 wrt x? 16*q**2*x**3 + 2*q**2*x - 93 Differentiate f**2*v**2 + 2*f*t**2 + 75*f*t*v**3 + t**2*v - t*v + 130*v**3 wrt f. 2*f*v**2 + 2*t**2 + 75*t*v**3 Differentiate 44*j*w**3*x - 2*j*w**2*x - j*w + 40*j + 2*w**3 wrt x. 44*j*w**3 - 2*j*w**2 Differentiate -213*c*d*g + 2*c*d + 35*c*g - 3*d**2*g - 10*g with respect to d. -213*c*g + 2*c - 6*d*g Find the second derivative of 2*h**3*t**2*y - 160*h**3 + h**2*y**2 - h*t**2*y**2 + 2*h*t**2*y - 8*h*t*y**2 + 2*h wrt h. 12*h*t**2*y - 960*h + 2*y**2 What is the third derivative of -36*h*q**3 + 729*h*q**2 - 10*q**3 wrt q? -216*h - 60 What is the third derivative of -4476*l**2*w**3 + 73*l**2*w**2 - 53*l**2*w + w**3 wrt w? -26856*l**2 + 6 Find the second derivative of 3*o**2*y**5 - 4*o**2*y - 12*o*y**5 - 5*o*y - o wrt y. 60*o**2*y**3 - 240*o*y**3 What is the second derivative of -1087*a**5 - a**2 - 694*a wrt a? -21740*a**3 - 2 Find the third derivative of a*k**6 - 46*a + 130*k**6 - k**2 wrt k. 120*a*k**3 + 15600*k**3 What is the second derivative of -j**3*v**2 - 11*j**3*v + 2*j**2*v - 106*j*v + 2*v**2 wrt j? -6*j*v**2 - 66*j*v + 4*v What is the second derivative of -99*s**3*t - 2*s**3 - 3*s*t + 2*t - 2 wrt s? -594*s*t - 12*s What is the first derivative of -35*d**3*h**2 - 17*d**2 + 1286*h**2 wrt d? -105*d**2*h**2 - 34*d Find the third derivative of 4*g**4*n**2 + 11*g**3*l + g**3*n**2 - 6*g**2*n**2 + 2*g**2*n + 3*g*l*n + 2*n**2 wrt g. 96*g*n**2 + 66*l + 6*n**2 What is the first derivative of 2155*c*g*p*s**2 + 3*c*g*p - c*p*s**2 + 878*p*s**2 wrt g? 2155*c*p*s**2 + 3*c*p Find the second derivative of 602*m*r**2*u**2 - 31*m*r*u**2 - 2*m + 2*r wrt r. 1204*m*u**2 Find the first derivative of 18061*d**2 + 2303. 36122*d What is the second derivative of 215*k**5 + k**3 + 24*k - 7 wrt k? 4300*k**3 + 6*k What is the third derivative of 359*c**4*t**2*y + 2*c**3*t**2*y + 2*c**2*t**2*y - 2*c**2*y + 2*t**2 + y - 1470 wrt c? 8616*c*t**2*y + 12*t**2*y What is the derivative of 5*q*u**3 + 30*q - 3*u**3 - 66*u**2 wrt q? 5*u**3 + 30 What is the third derivative of 14890*o**3 - 15014*o**2 wrt o? 89340 What is the second derivative of 2021*u**2 - 4220*u? 4042 Find the first derivative of 54*j**4 - j**2 + 142. 216*j**3 - 2*j What is the derivative of -2*l*n**4 - l*n**3 - 128*l - 3*n wrt n? -8*l*n**3 - 3*l*n**2 - 3 Find the third derivative of 83*k**2*r**3 + 3*k**2*r**2 + 505*k*r**2 + 25*r**3 - r**2 wrt r. 498*k**2 + 150 Find the third derivative of -2*d**6 + d**4*z - 608*d**3*z**2 + 14*d**2*z**2 - 104*d**2 wrt d. -240*d**3 + 24*d*z - 3648*z**2 What is the third derivative of s**5 - 57*s**4 + 1159*s**2 + 2 wrt s? 60*s**2 - 1368*s Find the third derivative of 95*j**3*m**2*y**2 + 2*j**2*m**2*y - 2*j**2*m - j*m*y**2 + 4*m**2 wrt j. 570*m**2*y**2 Differentiate -2185*h*q**3 + 2*q**3 - 2*q**2 + 82 with respect to h. -2185*q**3 Differentiate 3*f**3*r*v**2 - 22*f**3*r + f**3*v**2 - f**2*v**2 - 2*f*r + 694*v**2 with respect to r. 3*f**3*v**2 - 22*f**3 - 2*f Find the second derivative of -561*o**2*q**2 - 10*o*q**2 + 2*o*q - 4*o wrt o. -1122*q**2 Find the third derivative of -8*b**4*j*r - 2*b**3*j**2 - 3*b**3*r**3 + 12*b**2*j**2*r**2 - b**2*r + 2*b*j - r**3 wrt b. -192*b*j*r - 12*j**2 - 18*r**3 What is the second derivative of 3*g*o**2 + 2*g*o + g + 190*o**2 - 422 wrt o? 6*g + 380 What is the first derivative of 1146*n**3 - 749? 3438*n**2 Find the second derivative of -247*b**3 + 463*b wrt b. -1482*b Find the second derivative of 106*j**3*k**2*u**3 + 2*j**3*k + j**2*k*u - 18*k*u**3 wrt k. 212*j**3*u*
{ "pile_set_name": "DM Mathematics" }
0 Let o = 467 - 462.69. Round o to one dp. 4.3 Let h = 3 + 1. Suppose h*l + 4*v + 195 = 5375, v = -5*l + 6495. Suppose 2*t + l = -3*t. Round t to the nearest one hundred. -300 Let d = 0.6892012844 + -0.6892. What is d rounded to 7 dps? 0.0000013 Let c = -842.3384577 + 965.338427. Let x = c - 123. Round x to six dps. -0.000031 Let k = -32 + 35. Suppose 2*h + 2*j + 5400004 = -2*j, 3*j + k = 0. What is h rounded to the nearest one million? -3000000 Let k = -1.563243 - 0.436756. Let l = 7 + -9. Let b = l - k. Round b to 6 dps. -0.000001 Let t = -484.96 - -503. Let j = -5.86 - t. What is j rounded to zero decimal places? -24 Suppose 4*x - 23421762 - 20858238 = 0. What is x rounded to the nearest one million? 11000000 Let c = -217.9 + 1573.9. Let f = 1355.99999253 - c. Round f to 6 decimal places. -0.000007 Suppose 6 = 2*l, 0 = -2*k + 2*l - 5316 + 32956. Suppose -17297 = 8*h + k. Round h to the nearest 100. -3900 Let y = -344.797 - -345. Let d = y - 35.803. Let w = d + 20. What is w rounded to the nearest integer? -16 Let w = -0.0063 + -0.02626. What is w rounded to two dps? -0.03 Let c = -2.6 - -20.6. Let t = c - 17.999988. Round t to five decimal places. 0.00001 Let t = 473.35 + -458. What is t rounded to 0 decimal places? 15 Suppose 50*f - 27096 = -74396. Round f to the nearest 10. -950 Let h be (3/(-6)*6)/(-3). Let f be ((-96)/(-20))/(h/11770835). Suppose 5*w - 4*u = f, 2*w + u - 243144 = 22356854. What is w rounded to the nearest one million? 11000000 Let h = 763231859 + -763231714.9999964. Let r = h - 144. What is r rounded to six dps? 0.000004 Let w = 1427 + -609. Round w to the nearest 10. 820 Suppose 679401 = 7*c - 3800515. Suppose -v + 319997 = -f - f, 4*v - c = 4*f. Round f to the nearest ten thousand. -160000 Suppose j = 2*a, 0*j = -2*j - a + 5. Suppose -v + 2*t = -3*v - 51402, j*v + 51399 = t. Round v to the nearest 1000. -26000 Let i = -243.999752 - -244. Round i to 5 decimal places. 0.00025 Let b be -1 + 16334970/(-27) + 3/(-27). Round b to the nearest ten thousand. -610000 Let s = 3.9 + -6.6. Let v = s - -1.8. Let n = 0.903 + v. What is n rounded to 2 decimal places? 0 Let a = 123.66798 + -145.663568. Let l = a + -0.004662. Let r = l + 22. Round r to 4 decimal places. -0.0003 Let w = 4.6 - -0.4. Let s = -4.6 + w. Let i = s - 1.2. What is i rounded to the nearest integer? -1 Let x be (-9)/6*461800000/(-30). What is x rounded to the nearest 1000000? 23000000 Let n(k) = -13*k + 4. Let g(c) be the third derivative of -c**4/8 - 5*c**3/6 + 5*c**2. Let p be g(-4). Let v be n(p). Round v to the nearest ten. -90 Let y = -268.00000267 + 268. What is y rounded to seven dps? -0.0000027 Let u = 20 + -17. Let s(p) = -1 + 7 - 2 + 504*p**3 - 4*p. Let m be s(u). Round m to the nearest one thousand. 14000 Let t = -88.9999878 + 89. Round t to five decimal places. 0.00001 Let d = -15874127.93311 - -15874331. Let z = d + -201.9869001. Let c = -1.08 + z. What is c rounded to six dps? -0.00001 Let b = 37489422676076.53590137 + -37486676722307.5359. Let v = 2745954086 - b. Let q = v - 317. Round q to 7 decimal places. -0.0000014 Let u(c) = -98*c**2 - 5*c - 15. Let r be u(-8). What is r rounded to the nearest one thousand? -6000 Let l = 55.519 + -55. Let n = l - 8.5215. Let b = -8 - n. Round b to 3 dps. 0.003 Let i = 5523072 - 5523058.000002. Let m = i + -14. What is m rounded to 5 decimal places? 0 Let d = -0.2365 + 0.23655985. What is d rounded to five dps? 0.00006 Let p = 0.35 + 2.01. Let a = p + -124.36. Let k = a - -122.0057. What is k rounded to 3 decimal places? 0.006 Let r(q) = 90*q**2 - 6*q + 8. Let j(k) = 2*k**2 - 5*k + 4. Let w be j(2). Let f be -1 + (-4 - -6) + w. Let l be r(f). What is l rounded to the nearest 100? 800 Let z = 660 + -665.66. What is z rounded to 1 decimal place? -5.7 Let m = 0.155 + -0.154026. Round m to 4 decimal places. 0.001 Let g = 1038051169181.549923 + -1038050151674. Let i = g - 1017506. Let w = i + -1.55. What is w rounded to 5 decimal places? -0.00008 Let n = 60596974892.0359885 + -60596989112. Let k = n - -14223.364. Let a = k + -3.4. What is a rounded to 6 dps? -0.000012 Let o(b) = b + 9. Let m be o(-15). Let a(w) = 197*w + 12. Let y be a(m). Round y to the nearest one hundred. -1200 Let m = 31 + -190. Let s = m - -162.54. What is s rounded to the nearest integer? 4 Let r = 174375830.0031 - -2507.9969. Let y = 174378339.09999993 - r. Let g = y + -1.1. What is g rounded to seven decimal places? -0.0000001 Let n = -3391536 + 4829266. Let o = 1281090 + -273360. Let k = n - o. What is k rounded to the nearest 100000? 400000 Let i = 953 + -951.658. Let l = -2.061 + i. What is l rounded to two dps? -0.72 Let x = -38.001333 + 38. Round x to 4 dps. -0.0013 Let b(x) = x. Let m(w) = -874994*w - 1. Let s(t) = -10*b(t) + 2*m(t). Let u be s(1). What is u rounded to the nearest one hundred thousand? -1800000 Let b = 2596.9999885 + -2597. Round b to four dps. 0 Let c = 98.0656736 + 3.9341844. Let g = 102 - c. What is g rounded to four dps? 0.0001 Let u = -511.5 - -1059.6. What is u rounded to the nearest ten? 550 Let y = -279.54 - -272. Let i = y + 8.2. Let t = i + -1.75. What is t rounded to one decimal place? -1.1 Let c = -4475.5634 - -4475. What is c rounded to one decimal place? -0.6 Let m = -48 - -96.7. Let p = -48.700211 + m. What is p rounded to five decimal places? -0.00021 Suppose 0 = 5*f - 5*q - 105, -2*q = -4*f + q + 79. Let l be 199999985/40 + 6/f. What is l rounded to the nearest one million? 5000000 Let d = 571.1 - 610.11. Let a = d + 39. Round a to one dp. 0 Let b = -324.8 - -322.504. What is b rounded to the nearest integer? -2 Let y = 10.26 - 4.63. What is y rounded to the nearest integer? 6 Let o = -1080 + 1091.62. Let y = o - 13. Round y to one dp. -1.4 Suppose -5*a - 2530 = -2*p, 0 = 5*p + a - 3409 - 2943. Suppose -4*h + 3*h = p. Round h to the nearest one hundred. -1300 Let i = 18728056296.909988 + -18728094169. Let r = i + 37872. Let m = r + 0.09. What is m rounded to 5 dps? -0.00001 Let q be ((-4)/6)/(22/1429593). Let s = 24321 + q. What is s rounded to the nearest 10000? -20000 Let t = 0.2 - -10.8. Let h = -105241764 + 105241752.9999942. Let f = t + h. What is f rounded to 6 decimal places? -0.000006 Let q = 3 - 1. Suppose -q*g + 46 = -w, g = 3*w - g + 154. Let n be (3000/(-9))/(3/w). What is n rounded to the nearest 1000? 6000 Let c = -0.7102925 - -0.71. What is c rounded to 5 decimal places? -0.00029 Let r = -21.727 - -6.883. Let w = 15 + r. Round w to 1 decimal place. 0.2 Let q = 167914 - 168672.79. Let i = q - -753. What is i rounded to 0 dps? -6 Let u = -131.0871 - 15.8949. Let j = u - 0.018. Let t = 147.00071 + j. Round t to four decimal places. 0.0007 Let b(f) = f + 12. Let i be 2/((-1)/(-8)*-2). Let h be b(i). Let g be (-18)/(-4) - h/(-8). Round g to the nearest 10. 10 Let i = -0.2123008792 + 0.2123. What is i rounded to seven dps? -0.0000009 Let k(w) = 4*w - 9. Let x be k(7). Suppose -16*u + 112800000 = -x*u. What is u rounded to the nearest one million? -38000000 Suppose -2*z + 5*b + 44 = -0*z, -z = -b - 19. Let x = 87 - z. Suppose -4*d = 3*k - x + 20, 0 = -2*k + 3*d + 22. Round k to the nearest ten. 10 Let l = -194.7 + 37.7. Let z = -156.99999823 - l. Round z to 6 decimal places. 0.000002 Let u = -0.46 + 114.46. Let l = 114.00000083 - u. Round l to seven dps. 0.0000008 Let r be 0/(-12)*1/4. Suppose -3*l = -3*a - 2*l + 6001, r = -3*a - l + 5999. What is a rounded to the nearest ten thousand? 0 Let j = -33.96 - -0.21. Let h = -33 - j. What is h rounded to one dp? 0.8 Let r = 149 + -105. Let k be 48/32*r/3. Let s be (k/(-8) - 0)*4. Round s to the nearest ten. -10 Let i = -4 + 4.01. Let a = -0.847 + 0.9. Let k = i - a. What is k rounded to 2 decimal places? -0.04 Let o = 9.709 - -0.041. Let b = -10 + o. Let n = b - -0.18. What is n rounded to 1 decimal place? -0.1 Let r = 71 - 71.00000817. Round r to six decimal places. -0.000008 Let c = 64.3 + 20.7. Let y = c - 82.32. Let f = y - 2. What is f rounded to 1 decimal place? 0.7 Let w = -341698347 + 341698519.000073. Let q = -139 + -33. Let k = q + w. Round k to 5 decimal places. 0.00007 Let r = -25 + -7. Let n = r + 34.44. Round n to one decimal place. 2.4 Let t = -131.975 + 250.9. Let n = 0.075 + t. Let j = 119.047 - n. What is j rounded to two dec
{ "pile_set_name": "DM Mathematics" }
*2 + 1 + q**2 + 4*q**2 + (q**2 - 2*q**2 - q**2)*(1 + q**2 - 1) - q + q - q**4. -5*q**4 + 4*q**2 + 1 Expand (0 + 3 - 2)*(-z**4 - 2 + 2) - 4*z**4 - z**3 + z**3 - 18*z**4 - 2*z**4 + 5*z**4 + (5*z**3 - 2*z**3 - 2*z**3)*(-4*z + 4*z + 2*z). -18*z**4 Expand (-6*i + 12*i - 9*i)*(139*i**3 - 46782 + 46782) + 0 - 2*i**4 + 0. -419*i**4 Expand ((1 - 1 + 2)*(2 - 2 + t) + (-5 + 2 + 2)*(0 + 0 + t))*(11 - 10 - 4). -3*t Expand 18 - 3*a**2 - 18 + (6*a - 2*a - 2*a)*(-2 - 4*a + 2) + (9 + 55 + 13)*(-2*a + 2 - 2)*(5*a - 3*a - a). -165*a**2 Expand (-r - r + 4*r)*(-r**2 + 2*r**2 - 3*r**2) - 2*r**2 + 2*r**2 + r**3 + (-4*r**2 + 5*r**2 + 2*r + 2*r**2)*(2*r - 4*r + r). -6*r**3 - 2*r**2 Expand (3 - w - 3)*(-2*w**2 - 2*w**2 + w**2)*(2*w**2 + 5*w**2 - 4*w**2). 9*w**5 Expand 2*m - 2*m - m**4 - 2*m**4 + 0 + 0 + (2*m + m - 2*m)*(7367*m + 181*m**3 - 7367*m). 178*m**4 Expand (-79 + 107 + 141)*(-10*u - 14 - 17 + 30). -1690*u - 169 Expand (618*c - 306*c - 311*c + 24*c**2)*(4*c + 2*c**3 - 4*c). 48*c**5 + 2*c**4 Expand (3*n**2 + 3*n**3 - 3*n**2)*(4 - 4 + n) + 3119*n**4 + 15*n**2 + 16*n**2 - 3123*n**4. -n**4 + 31*n**2 Expand (0*j**2 + 4*j**2 - 6*j**2 - 6)*(47 - 48 - 7*j + 19*j)*(0 + 0 + 1). -24*j**3 + 2*j**2 - 72*j + 6 Expand (-10*j**3 - 15*j**3 + 13*j**3)*(68 - 68 - 15*j**2). 180*j**5 Expand -2 + 2 + s**5 - 3*s**5 + 2*s**5 + 3*s**5 + (s**4 - 3*s**4 + 0*s**4)*(-1 + 1 + 2*s) - 462*s**3 + 94*s**5 + 462*s**3. 93*s**5 Expand (-3*z**3 - 2*z**4 + 3*z**3)*(-2*z + z + 0*z) + (4*z + 4*z - 2 + 7*z)*(0*z**4 + z**4 - 5*z**4). -58*z**5 + 8*z**4 Expand (-3*d**3 - 2*d**3 + 3*d**3)*(-91*d**2 - 66*d**2 + 41*d**2) + (-3 + 3 - d**4)*(-d + d + 2*d) + 3*d**2 - 3*d**2 - 3*d**5. 227*d**5 Expand 93*j**4 - 43*j**2 + 43*j**2 + (2 - 2 - 2*j)*(2*j**3 - j**3 + 0*j**3) - 2*j**4 - 2*j + 2*j + 2*j - 2*j + 2*j**4 + (-2*j**3 + j**3 + 2*j**3)*(-3 - j + 3). 90*j**4 Expand 12*g**2 - 8*g**2 + 12*g**2 + (4*g + 1 - 1)*(-3 + 2*g + 3) + 0*g**2 - g**2 + 0*g**2. 23*g**2 Expand (-p**2 + 4*p**2 - 4*p**2)*(1728*p**2 - 616*p**2 + 633*p**2). -1745*p**4 Expand ((0*h + 0*h + h)*(-2*h**2 + 5*h**3 + 2*h**2) + (h**2 + 5 - 5)*(-5*h - h**2 + 5*h))*(-h - h + 5*h). 12*h**5 Expand 2*f**3 - 2*f**4 - 2*f**3 + (-2*f + f + 0*f)*(-f**3 + 2*f**3 - 2*f**3) - 44 + 42*f**4 + 44 + (1 - 2*f**3 - 1)*(0*f + 3*f - 4*f). 43*f**4 Expand (12 + 14 - 7)*(4*b**2 - 5*b**2 + 0*b**2) - 5*b**2 - 3 + 4*b**2 + 7*b**2. -13*b**2 - 3 Expand 6*p**2 - 5*p**3 + 4 - 6*p**2 + 2 - p**3 - 2 + (2*p + 2*p**3 - 2*p)*(-2 - 4 + 5) - 2*p - 2*p**3 + 2*p. -10*p**3 + 4 Expand (3*m + 0*m - 2*m)*(5*m**4 + 0*m**4 - 3*m**4) + (-15*m**2 + 15*m**2 - 75*m**2)*(-5 + 5 - 9*m**3). 677*m**5 Expand -3*r**4 - 6*r**4 + 8*r**4 + r**3 - r**4 - r**3 + (-2*r**3 - 3*r**3 + r**3)*(5*r - r - 3*r). -6*r**4 Expand -23*n - 19*n**4 + 23*n + (-3*n**3 + 3*n**3 - 3*n**4)*(-4 + 1 + 4) + (1 + n - 1)*(-2*n**3 + n**2 - n**2). -24*n**4 Expand ((0 + 3 - 2)*(-3*q - 3*q + 3*q) + 3*q + 0*q - 4*q)*(-338 + 218 + 176 + 2*q). -8*q**2 - 224*q Expand (2*s - 5*s + 4*s)*(1387*s - 158*s - 482*s + 1005*s). 1752*s**2 Expand (-j**2 + 0*j**2 - j**2)*(-18*j + 50*j + 65 - 37*j). 10*j**3 - 130*j**2 Expand q**2 - 2 + 2 + (-16 + 13*q + 16)*(-2*q + q + 4*q) + q - q - q**2 + (4*q - 3*q + 0*q)*(-5*q + 2*q + q) + 3*q**2 - 3*q**2 - q**2. 36*q**2 Expand (-3 + 3 - 2)*(-6*g - 3*g + 4*g) + (3*g - 7*g + 2*g)*(-2 + 3 - 2). 12*g Expand (d + 3*d - d)*((-2 + 2*d + 2)*(9 - 4*d - 9) - 5*d**2 - 37*d**2 - 4*d**2). -162*d**3 Expand (-5*z**2 + 4*z**2 + 0*z**2)*((-z + 3*z - z)*(-6 + 4 + 3) - 2 + z + 2 + 2*z + 10*z + 2*z + (-z - 2 + 2)*(6 - 2 - 3))*(0 + 0 - 2). 30*z**3 Expand (8*l - 9*l - 45*l)*(l + 0 + 0 + (-3 + 1 + 0)*(4*l + 0*l - 3*l) + l + 0*l + l)*(-2 - 2*l - l + 4*l). -46*l**3 + 92*l**2 Expand ((-1 + 0 - 4)*(2 + 1 - 2)*(2 - a - 2) + (-4 + 4 - 2)*(-2*a - 10*a + 3*a))*(5 - 5 - a**4). -23*a**5 Expand (2 - 1 + 1)*(4*o + o - 2*o)*(-55 + 27 - 75). -618*o Expand (-14357 - 10*g - 12*g**2 + 14357)*(-3 - 5*g**3 + 3). 60*g**5 + 50*g**4 Expand (r**2 - r**2 - 1 + 4*r**2 - 3*r)*(3 - 1 - 8) + 5*r**2 - 2*r**2 - 2*r**2. -23*r**2 + 18*r + 6 Expand (-21*m**3 - 27*m**3 + 25*m**3)*(4*m - 5*m - m)*((-2 - 1 + 2)*(-m + 2*m + 0*m) - 3*m + 0 + 0). -184*m**5 Expand (2*n + 4*n + 0*n + (-1 + 4 - 1)*(-3*n + n + 4*n) - 4*n - n + 3*n)*(39 - 39 + 8*n**2). 64*n**3 Expand ((-1 - 1 + 0)*(3 + 0 - 1) - 4 + 0 + 2)*(5*v - v - 5*v)*(3 - 3 - 2*v). -12*v**2 Expand (1 - 3 + 3 - 1 + 1 + 2 + (0 - 1 + 3)*(2 - 5 + 2))*(0*s**2 + 0*s**2 - 2*s**2 - 5*s**2 + 4*s**2 + 2*s**2 + (-s + s - 2*s)*(0 + 0 + 3*s)). -7*s**2 Expand -2*i - 2 + 2 + (3 + 6 - 4)*(29*i + 22*i + 7*i). 288*i Expand (-4 + 2*l**4 + 4)*(-18 + 18 - 11*l)*(0 - 1 - 1). 44*l**5 Expand (15 + 64 - 41)*(0 + 0 + 1)*(v**3 - 2*v**3 - 2*v**3). -114*v**3 Expand (-3*g**2 - 7*g**2 + 0*g**2)*((2*g**2 + 0*g**2 - g**2)*(-6*g + 0*g + 4*g) - 7 + 7 - 3*g**3). 50*g**5 Expand (489 - 330 - 274)*(4*y - y - 2*y)*(1 - 2 - 1). 230*y Expand (-5 + 4 + 0)*(-17*u + 44*u + 47*u). -74*u Expand (6 + 5*j - 6)*(5*j + j - 2*j)*(-6*j - 6 + 5 - j). -140*j**3 - 20*j**2 Expand -2*l - 33*l + 14*l - 3 + 2*l + 3 + (-2 + 1 + 3)*(-3*l + 0*l + l). -23*l Expand s**3 + 0*s**2 + 0*s**2 + (4 - 4 + 2*s**2)*(s + 2*s - s) + 4 - 4 - s**3 + 60 - 86*s + 88*s - s**2 + 2*s**2 - 2*s**3. 2*s**3 + s**2 + 2*s + 60 Expand (-2*o + 0*o + o)*(-2 + 0 - 1) + (6 - 2 - 3)*(2*o + o - 16*o). -10*o Expand -6*j - 19*j**4 + 51*j**4 + 4*j + (2*j**2 - j**2 + 0*j**2)*(0 + 0 + 2*j**2). 34*j**4 - 2*j Expand -34*c**4 - 2*c**3 + c - 13*c**4 + 10*c**4 + (4*c - 4*c + 2*c**2)*(-6*c**2 + 5*c**2 - c**2). -41*c**4 - 2*c**3 + c Expand (47*i - 2*i - 37 + 34)*(-2*i - 3*i + 4*i). -45*i**2 + 3*i Expand 3*r + 2*r - 3*r - 5*r + r + r + (-4 + 1 - 1)*(-2 + 2 + r). -5*r Expand (-1 - 1 + 1)*(-47*u**2 - 3*u - 3 + 52*u**2 + 4)*(3*u**2 - u - 4*u**2 - u**2). 10*u**4 - u**3 - u**2 + u Expand -3*a**3 + 2*a**2 - 2*a**2 + (7*a - a - 2*a)*(2 - 2 - a**2) - 12*a**3 + 79*a**3 - 28*a**3. 32*a**3 Expand (49 - 113 + 26)*(o**5 + 0*o**5 - 4*o**5). 114*o**5 Expand (5 - w**2 - w**3 - 5 + (-1 + 0 + 2)*(0*w**3 + 0*w**3 - 2*w**3))*(-29*w + 13*w + 24*w). -24*w**4 - 8*w**3 Expand -4*n**5 - 5*n**5 + 6*n**5 + (4*n**2 - 8*n**2 - 5*n**2)*(-2*n**3 + 0*n**3 - 3*n**3). 42*n**5 Expand (4*b - b + 5*b)*(-3*b**2 + 6*b**2 + b**2)*(-4 - 3 + 4). -96*b**3 Expand (2*f**3 + 31 - 16 - 5)*(-1 - 1 - 2 + (-4 + 0 + 2)*(-2 + 0 + 0) + 1 - 5 + 3). -2*f**3 - 10 Expand (0 + 0 - 2)*(-8*i - i + 2*i) + 2 - 12*i + 0 + 0 + (1 + 2*i - 1)*(1 + 3 - 3). 4*i + 2 Expand (-3 + 7 + 2)*(-2*q**5 + 3*q - 3*q) + (6 - 2 - 2)*(18*q**5 - 19*q**5 - 29*q**5). -72*q**5 Expand 4*w**2 - w**2 - w**2 + 3*w + 2*w**2 - 3*w + (1 - 1 + 1)*(w**2 + 4*w**2 - 3*w**2) + (-1 + 1 - 4*w**2)*(-24 - 22 - 7). 218*w**2 Expand (-3*p**2 + 2*p**2 + 0*p**2)*(6*p**3 - 9*p**3 - 6*p**3) + (3*p**3 - p**3 + 0*p**3)*(-3*p**2 - p**2 + 0*p**2). p**5 Expand (-28*m + 2*m + 13*m)*(-2*m + 6*m**2 + 3*m**2 - 6*m**2)*(2 + 0 + 2). -156*m**3 + 104*m**2 Expand (-4*k + 0*k + 2*k)*(30*k - 10*k - 10*k) - 3 - 10*k**2 + k**2 + 6*k**2 + k. -23*k**2 + k - 3 Expand -33 - 40 + 76 + 8*y - 2*y + 0*y + y + (-2*y + 4*y + 0*y)*(-1 - 1 + 0). 3*y + 3 Expand ((8*o**3 - 3*o**3 + 3*o**3)*(-5*o + 6*o - 3*o) + (0*o**2 + o**2 + o**2)*(-2*o + 2*o**2 + 2*o))*((-2 + 1 - 1)*(-2 - o + 2) + 4*o - o - 2*o). -36*o**5 Expand (5 - 12*j - 10*j + 23*j + 3*j**3)*(-2*j + j + 2*j)*(13*j + 6*j - j). 54*j**5 + 18*j**3 + 90*j**2 Expand (410*k**2 + 409*k**2 + 6*k - 830*k**2)*(-3*k + 5*k + 2*k**2 - k). -22*k**4 + k**3 + 6*k**2 Expand (j + j + j)*(-1 + 3 + 7) + (5 + 0 - 4)*(-6*j + 3*j + j). 25*j Expand (-6*f - 80*f + 10*f)*((-1 - 2 + 0)*(6 - 3 - 1) + 4 - 4 + 1). 380*f Expand 3*d**3 - 3*d**3 + 2*d**5 + (0*d**3 + 0*d**3 + d**3)*(112*d**2 - 1 - 164*d**2 - 2). -50*d**5 - 3*d**3 Expand (-2*f**4 - 8*f**2 + 8*f**2 + (0 - f + 0)*(0*f**3 + 5*f**3 - 6*f**3))*(25 - 32 + 41). -34*f**4 Expand (1 + 0 - 2)*(-2*i + 4*i - i) + 12*i + 0*i + 27*i. 38*i Expand (38*h + 11 - 14 + 4)*(-h**2 + 2*h**2 + 0*h**2). 38*h**3 + h**2 Expand -4 + 4 - 4*g**5 + (196*g + 167*g - 8*g)*(-g**4 - 2*g**4 + 4*g**4). 351*g**5 Expand -2*n + 2*n**3 + 2*n + (2 - 3 - 1)*(-2*n**3 - 2*n**3 + 5*n**3) + n**3 - n**3 - 2*n**3 - 2*n**2 + n**3 + 2*n**2 - 13*n**3 + 26*n**3 - 4*n**3. 8*n**3 Expand ((6 - 3 - 4)*(-1 - 2 + 4) + (-12 - 8 + 11)*(5 - 2 - 2) + 2 + 0 - 3)*(-4*s - 3*s + 4*s). 33*s Expand (0 + 0 + 4)*(-33 + 33 + 43*p)*(-7*p**3 + 3*p**3 + 2*p*
{ "pile_set_name": "DM Mathematics" }
-3*a - 1170. Let q = a - -626. Suppose 0 + q*o**2 - 24/5*o - 21/5*o**3 = 0. Calculate o. 0, 2/7, 4 Solve 1296*m**2 - 1/2*m**5 + 0 + 0*m + 22*m**4 - 306*m**3 = 0. 0, 8, 18 Suppose -312*x = -609*x + 320*x - 69. Determine y so that 0 + 4/5*y**2 + 0*y + 0*y**x - 1/5*y**5 - 3/5*y**4 = 0. -2, 0, 1 Let p(m) = -m**3 + 6*m**2 - 3*m - 16. Let x be p(4). Let -3*f**4 + 0*f**x + 171*f**2 - 165*f**2 - 2 - 1 = 0. Calculate f. -1, 1 Let i(g) be the second derivative of g**6/255 - 81*g**5/17 + 54675*g**4/34 - 1079*g + 1. Factor i(t). 2*t**2*(t - 405)**2/17 Let n be 6/9 - 0 - 39/(-9). Suppose n*r + 3 = 4*j, 2*j - 5*r - 2 = -3*r. Determine a, given that -a - 2*a**j - 12*a**2 + 12*a**2 + 1 = 0. -1, 1/2 Determine n, given that -288*n + 486*n**2 + 2*n**5 - 64215*n**4 - 198*n**3 + 64254*n**4 + 243 - 5*n**5 - 279*n = 0. 1, 3 Let f(j) be the third derivative of 25*j**8/28 - 169*j**7/7 + 31321*j**6/160 - 22417*j**5/80 - 155*j**4/2 - 8*j**3 - j**2 - 403*j. Solve f(m) = 0 for m. -1/20, 1, 8 Let j(f) be the third derivative of f**5/105 + 17*f**4/21 + 160*f**3/7 + 109*f**2 + 2. Let j(w) = 0. What is w? -24, -10 Suppose 0 = 5*k - p - 245, 34*p - 35*p + 187 = 4*k. Suppose -k*g + 33*g = -60. Factor -2/5*d**2 + 0 - 2/5*d**3 + 2/5*d**g + 2/5*d. 2*d*(d - 1)**2*(d + 1)/5 Suppose 52 + 164*v**4 - 52 + 216*v + 3*v**5 - 13*v**5 - 402*v**3 + 360*v**2 - 48*v**4 = 0. What is v? -2/5, 0, 3, 6 Find s such that 1320/7*s - 200/7*s**2 - 2178/7 = 0. 33/10 Suppose 129/5*d**2 + 3/5*d**3 + 351/5 + 477/5*d = 0. Calculate d. -39, -3, -1 Suppose -2624/7*o - 2/21*o**5 + 1920/7 - 256/7*o**3 + 3784/21*o**2 + 22/7*o**4 = 0. What is o? 2, 5, 12 Let z(o) be the third derivative of 0*o + 0 - 32*o**2 + 1/20*o**5 - 5/8*o**4 + 0*o**3. Factor z(i). 3*i*(i - 5) Suppose 4*c - 12*h + 4834 = -14*h, 0 = -3*c + 3*h - 3648. Let d = c + 1214. Factor 15/2*v**d + 0 + 3*v + 17/2*v**2 + 2*v**4. v*(v + 1)*(v + 2)*(4*v + 3)/2 Let f(k) be the first derivative of k**4 + 1456*k**3/3 + 4314*k**2 + 12888*k - 5445. Determine g so that f(g) = 0. -358, -3 Let q = 1594 + -1575. Suppose 0 = g - 19 + q. Suppose 63/2*v**2 + g + 9/2*v**5 + 99/2*v**3 + 6*v + 57/2*v**4 = 0. What is v? -4, -1, -1/3, 0 Let g = 55 + -53. Factor -g*v**2 - 3*v + v - v**2 - 7*v. -3*v*(v + 3) Let m(u) be the third derivative of u**7/70 + u**6/40 - 3*u**5/5 + 647*u**2. Determine q, given that m(q) = 0. -4, 0, 3 Suppose 0 = 65181*s - 65196*s + 60. Let v(d) be the second derivative of 1/60*d**s + 1/100*d**5 + 0*d**2 + 0 + 14*d - 1/150*d**6 - 1/30*d**3. Factor v(k). -k*(k - 1)**2*(k + 1)/5 Let d(s) be the first derivative of s**5/5 - 13*s**4 - 109*s**3/3 + 26*s**2 + 108*s + 3790. What is u in d(u) = 0? -2, -1, 1, 54 Let q(k) be the second derivative of k**5/60 + 5*k**4/3 + 227*k**3/18 + 28*k**2 + 15*k + 16. Factor q(i). (i + 1)*(i + 3)*(i + 56)/3 Suppose -3*a + 2*b - 3*b - 227 = 0, -384 = 5*a - 4*b. Let c = a + 79. Suppose -5*s**5 + 3*s - 3*s - 5*s**3 + 20*s**4 - 15*s**c = 0. Calculate s. 0, 2 Let p(s) be the first derivative of -5*s**8/336 + s**6/24 + 179*s**2/2 - 65. Let x(q) be the second derivative of p(q). Let x(a) = 0. What is a? -1, 0, 1 Let n = -46262 - -46264. Factor 0 - 4/9*k**4 + 4/9*k**3 + 0*k + 8/9*k**n. -4*k**2*(k - 2)*(k + 1)/9 Suppose -32*b = -14829 + 941. Suppose 2 = -433*g + b*g. Suppose -77/4*u**3 - 33/2*u**g + 49/4*u**4 + 13*u - 2 = 0. Calculate u. -1, 2/7, 2 Suppose 0 = 27*m - 25 - 110. Suppose d + m*l = -4*d + 15, 5*l + 9 = d. Factor 0 + 0*o + 1/3*o**d - 1/6*o**5 + 0*o**2 - 1/6*o**3. -o**3*(o - 1)**2/6 Let y(h) = 5*h**3 + 11*h + 6. Let u be y(6). Let l = u - 9167/8. Factor 0 + 1/8*c**4 + 0*c + l*c**2 + 7/4*c**3. c**2*(c + 7)**2/8 Let b(n) be the second derivative of -5*n**7/168 - 17*n**6/3 - 867*n**5/2 - 49130*n**4/3 - 835210*n**3/3 + 52*n - 1. Factor b(r). -5*r*(r + 34)**4/4 Let h(v) = -12*v**3 - 17*v**2 + 680*v + 2430. Let x(c) = 12*c**3 + 18*c**2 - 680*c - 2434. Let o(s) = -4*h(s) - 5*x(s). Determine m, given that o(m) = 0. -5, 49/6 Suppose -403*u**2 + 94*u**2 + 45 + 85*u**4 - 15*u**5 + 105*u - 90*u**3 + 179*u**2 = 0. What is u? -1, -1/3, 1, 3 Suppose 57*r - 64*r = 8379. Let p = -1193 - r. Let -2/15*i**p - 14/15*i**2 + 4/3*i + 2/15*i**5 - 22/15*i**3 + 16/15 = 0. Calculate i. -2, -1, 1, 4 Let i(p) = -p**4 - 3*p**3 + p**2 + p - 1. Let b(m) = 36*m**5 + 384*m**4 - 1304*m**3 + 1808*m**2 - 1060*m + 244. Let x(v) = b(v) + 36*i(v). Solve x(d) = 0. -13, 2/3, 1 What is i in 4/5*i**5 + 456620*i**2 + 0 + 1012/5*i**4 - 982600*i + 16932*i**3 = 0? -85, 0, 2 Let i be ((-4)/(-3))/(224/8016) - 14/(-1). Find q, given that 2/7*q**3 + 36/7*q**2 + 216/7*q + i = 0. -6 Let i(j) be the third derivative of j**5/270 + j**4/4 + 140*j**3/27 - 2*j**2 - 2478*j + 1. Factor i(y). 2*(y + 7)*(y + 20)/9 Let p(x) be the first derivative of -4*x**3/3 + 86*x**2 - 480*x - 2753. Suppose p(m) = 0. What is m? 3, 40 Let c(o) be the first derivative of -1/480*o**5 + 0*o + 0*o**2 + 14 - 1/1440*o**6 - 8/3*o**3 + 0*o**4. Let t(z) be the third derivative of c(z). Solve t(u) = 0. -1, 0 Let f = -8685 + 43567/5. Let r = -1472/55 + f. Suppose -2/11*i**3 + 32/11 - 48/11*i + r*i**2 = 0. What is i? 1, 4 Let n(y) be the third derivative of -y**6/60 + 7*y**5/30 + 40*y**4/3 - 1300*y**3/3 - 36*y**2 - 12*y - 2. Find i, given that n(i) = 0. -13, 10 Let l(q) be the third derivative of -q**6/300 - 182*q**5/5 - 165620*q**4 - 1205713600*q**3/3 + 24*q**2 + 2*q - 4. Let l(x) = 0. What is x? -1820 Let v(o) be the first derivative of 2*o**3/9 - 2*o**2 - 48*o + 1495. Factor v(d). 2*(d - 12)*(d + 6)/3 Let v = 111/44 - 14/11. Let u = -157080 - -628335/4. Factor -u + v*p**2 - 5/2*p. 5*(p - 3)*(p + 1)/4 Let l(t) be the second derivative of -t**6/150 + 29*t**5/20 + 148*t**4/15 + 298*t**3/15 + 3696*t. Factor l(w). -w*(w - 149)*(w + 2)**2/5 Let r be 522/(-8)*(-96)/(-1584). Let x = 60/11 + r. Solve 3*i**3 + 0 + 9/2*i**2 + 0*i - x*i**4 = 0. -1, 0, 3 Let y(o) = -41*o**2 + 147*o - 46. Let s(k) = -27*k**2 + 99*k - 30. Let r(v) = -7*s(v) + 5*y(v). Solve r(a) = 0. 5/8, 2 Let o be (24/28)/((-3)/273). Let n = -53 - o. Let i(a) = 5*a**3 + 55*a. Let w(m) = m**2 - m. Let s(h) = n*w(h) + i(h). Let s(b) = 0. Calculate b. -3, -2, 0 Let y = -66 - -71. Let c(a) be the first derivative of -4/13*a**2 + 0*a - 21 + 67/26*a**4 + 0*a**3 - 126/65*a**y. Determine d, given that c(d) = 0. -2/9, 0, 2/7, 1 Let s(b) be the first derivative of -b**6/12 - 12*b**5/5 - 33*b**4/2 - 109*b**3/3 + 69*b**2/4 + 153*b - 1874. Find o, given that s(o) = 0. -17, -3, -2, 1 Let u(r) be the second derivative of r**7/8820 + 11*r**6/2520 + r**5/42 - 7*r**4/12 + 3*r**2/2 + 4*r - 3. Let b(h) be the third derivative of u(h). Factor b(z). 2*(z + 1)*(z + 10)/7 Let v(d) = -81*d**3 + 407*d**2 - 12*d + 14. Let c be v(5). Find w, given that -2/3*w**4 - 38/3*w - 14*w**2 - 6*w**3 - c = 0. -6, -1 Let w be (36/48)/(3/8). Determine v so that 2 + 65*v**2 - 1 - 6 - 3*v + 5*v**3 - 2*v - 60*v**w = 0. -1, 1 Let t(y) be the third derivative of y**6/60 + 11*y**5/5 - 34*y**4/3 + 253*y**2 - 5*y. Factor t(u). 2*u*(u - 2)*(u + 68) Let v(h) be the second derivative of h**5/540 + 13*h**4/36 + 169*h**3/6 - 64*h**2 - 127*h. Let x(n) be the first derivative of v(n). Factor x(k). (k + 39)**2/9 Let w(d) = -d**3 - d**2 + 2*d + 1. Let n(s) = s**3 + 41*s**2 - 92*s + 54. Let m(o) = n(o) + 6*w(o). Factor m(x). -5*(x - 3)*(x - 2)**2 Let n(b) = -157*b - 12558. Let w be n(-80). Determine g so that 72/13 + 120/13*g + 74/13*g**w + 2/13*g**4 + 20/13*g**3 = 0. -3, -2 Suppose 0 = -101*l + 187 + 217. Let o(b) be the third derivative of -4/3*b**3 + 2/15*b**5 - 1/2*b**l + 0*b + 0 + 5*b**2. Factor o(m). 4*(m - 2)*(2*m + 1) Let n(z) be the first derivative of z**5/660 - z**4/264 - 50*z**2 - z + 104. Let w(r) be the second derivative of n(r). Solve w(o) = 0 for o. 0, 1 Suppose 5*u + 33 = 78. Suppose 17 = 3*z + u*j - 10*j, -2*z - 4*j = 12. Factor 0*o**3 + 0 + 1/3*o**z + 0*o - 4/3*o**2. o**2*(o - 2)*(o + 2)/3 Let z(g) be the second derivative of g**5/150 + 151*g**4/45 - 914*g. Factor z(u). 2*u**2*(u + 302)/15 Let d(v) = -2*v**4 + 176*v**3 + 4316*v**2 + 22400*v - 4. Let o(n) = 12*n**4 - 881*n**3 - 21578*n**2 - 112000*n + 22. Let i(j) = -22*d(j) - 4*o(j). Factor i(m). -4*m*(m + 7)*(m + 40)**2 Let u(c) be the second derivative of -1 - 1/10*c**5 - 13/15*c**6 + 0*c**3 + 13/6*c**4 + 1/21*c**7 - 165*c + 0*c**2. Find s
{ "pile_set_name": "DM Mathematics" }
+ 2*i - 3, -3 = -3*w - x*i + 3 for w. -3 Suppose 3*v - t = 4, 3*t - 4*t = -2*v + 2. Suppose -v*k = 1 - 7. Suppose 8 - 17 = -k*f. Solve f*x - 4*x = 5*i + 16, -5*i - 20 = 5*x for x. -1 Let u(z) = -z**3 - 5*z**2 - 4*z - 15. Let s be u(-5). Solve 0 = p - s*c - 25, c - 3*c - 18 = -2*p for p. 5 Let x be 1/2*(6 - -32). Let g = x - 16. Solve -g*q - 2 = -p, 2*q - 17 = 3*p - 6*p for q. 1 Suppose 0 = -13*o + 1251 - 133. Let d = o + -86. Solve -5*b - 12 = -d*b - w, 10 = 5*w for b. -2 Let o be -2 + 8 - (2 - 2). Solve 4*q + 6 = -y + o*y, 4 = 4*y - 3*q for y. -2 Let f(b) = -b**2 + 13*b + 35. Let d be f(15). Suppose -2*v - d*w - 8 = 2*v, -3*v - 3*w - 3 = 0. Solve -3*a - v + 1 = -z, z - 6 = -a for z. 5 Let c(o) be the third derivative of o**6/120 - o**5/20 - o**4/24 + 7*o**3/6 - 15*o**2. Let u be c(3). Solve 3*b - x + 2*x = -1, -5*x = -u*b + 5 for b. 0 Let g(i) = 4*i**3 - 29*i**2 + 6*i + 9. Let q be g(7). Solve p + 8 = -5*y, -q*p + 3*y - 1 = -2*y for p. -3 Let s = 14 - 8. Suppose 36 = 24*a - 18*a. Let l = s - a. Solve -2*r + l*q = 3*q + 6, -2*q = r + 3 for r. -3 Let k(o) = -3*o**3 - 6*o**2 - 8. Let f(v) = -2*v**3 - 5*v**2 - 7. Let s(r) = -7*f(r) + 6*k(r). Let g be s(-1). Solve 4*j = -g*a, -a - 2*j = -0*j - 4 for a. -4 Suppose -4*c + 34 = -0*c - f, 4*c = -2*f + 28. Suppose 4*g - c - 8 = 0. Solve g*x - 6*x = 4*t + 6, 3*x + 5 = -2*t for x. -1 Let b be -13 + 20 + 8/(-2)*1. Solve r - 3*i - 3 = 0, -b*r + 5*i - 9 = -6*r for r. 3 Let z be (-4)/22 - 158/(-22). Suppose 5*i - z = 8. Solve 6*w + 23 = w - 3*x, 9 = -i*w + 3*x for w. -4 Let r be 3*4 - (-120)/(-24). Solve -d + 10 + r = -3*p, 16 = p + 4*d for p. -4 Suppose -3*z - r + 3 = 0, z - 4*r - 22 = -4*z. Solve 0*c = 3*j - 2*c + 15, z*j = -2*c for j. -3 Suppose 0 = q + 6*u - 7*u + 4, 3*q + 2*u = 8. Solve 5*z + 5*o + 15 = q, 8*o + 16 = -4*z + 3*o for z. 1 Let x(u) = u**2 - 6*u + 8. Let f be (-2 - -2)/4 - -5. Let o be x(f). Suppose 4*r - 9 = o. Solve 4*p - 3*z + 35 = 2*z, 0 = -2*p + r*z - 19 for p. -5 Let c(a) = a**3 - 4*a**2 + 3*a + 2. Let g be c(3). Let i(f) = -f**2 - 7*f + 3. Let d be i(-7). Solve 5*s + 3*x = -0*s + 16, -d*s + 21 = -g*x for s. 5 Let s(u) = -u**3 + 6*u**2 + 15*u + 6. Let l be s(-2). Solve 2*f + l = -5*q + 1, -3*q - 21 = -3*f for q. -3 Let i = -145 + 151. Solve -s = 2*r - i*r - 8, -5*r + 7 = 3*s for s. 4 Let r(j) be the third derivative of j**6/120 + 11*j**5/60 - 5*j**4/12 + 9*j**3/2 - 5*j**2. Let f be r(-12). Solve i + f*i = 3*q - 24, 0 = -3*i - 9 for q. 4 Let o(z) = z**3 - 7*z**2 - 2*z + 16. Let v(t) = t**2 - 15*t + 21. Let w be v(14). Let q be o(w). Solve 2*s = -5 + 3, -2 = c - q*s for c. -4 Let y be (-88)/(-56) - (-3)/7. Solve 3*f - 14 = j, -5*f + y = 2*j - 14 for f. 4 Suppose 0 = -5*w - 3*h + 4, -2*h + 1 = 4*w - 1. Let n be (-1548)/96 - w/8. Let t = 19 + n. Solve 2 = 2*d - 3*d - 2*q, -t = 3*q for d. 0 Suppose 5*r - 2*c = 17, c = 2*r + 3*c - 4. Let x = 5 + r. Solve -u + 9 = -2*k, x*u - 5*k = 4*u + 30 for u. 5 Suppose 0 = 13*q + 7*q - 60. Solve 0 = -3*j + j + 4*h, -2*j + q*h = -1 for j. 2 Let g = 2 + 0. Let y be 1/4*(7 - 4 - -5). Suppose 5*m + 0*m = 10. Solve -y*u + m = -4*i, -u - i = -2*i + g for u. -5 Suppose -3 = -4*w + 17. Suppose -w*j = -0*j - 30. Suppose 3 = -m + j. Solve 0*y - 23 = 2*c - m*y, 3*c + 37 = 5*y for c. -4 Let j(b) = -b**3 - 8*b**2 - 7*b + 43. Let y be j(-5). Solve -5*a - 4 = 3*d, 0 = -y*a + 4 - 1 for d. -3 Suppose -4*i = -2*d - 10, i = -d - 5 - 6. Let f(a) = a**3 + 10*a**2 + 9*a. Let g be f(d). Let n = -5 - -14. Solve -4*u = -5*x - g*u + 22, 3*u + n = 0 for x. 2 Suppose -147 = -6*d - 45. Suppose 5*v = -d + 77. Solve -5*c = 3*z + 14 - 46, -2*c = z - v for c. 4 Let w(h) = h + 14. Let f(g) = -g - 19. Let j be f(-9). Let c be w(j). Solve -5 = -5*s - c*v - 1, -v = -1 for s. 0 Let z(k) = -2*k**2 + 7*k - 6. Let v be (-18)/12*16/(-6). Let s be z(v). Let l = s - -13. Solve 21 = -2*j + 3*a, -4*j + l = 2*a + 5 for j. -3 Let c be (216/(-594))/(1/(-11)). Solve -4 = 2*g + c*m, m - 12 = g - 13 for g. 0 Suppose 4*v - 20 = -v. Suppose 0 = -4*n - 0*n - 4*t - 4, -v*t = 5*n + 1. Solve 0 = d + n*i - 8, -5*i + 16 = -i for d. -4 Let d(y) = 2*y**2 - 2*y - 11. Let j be d(-3). Solve 2 = -5*q + 4*v - 9, -4*q - j = v for q. -3 Let o = -9 + 21. Let z = -6 - -9. Solve 0 = 2*k + 4*q - o, 3*q = -4*k + k + z for k. -4 Suppose 5*k + 36 = -4*y, -6*y + 4*k = -2*y. Let g be 1*y*(-18)/24. Solve -5*u = -g*m - 20, 6*m - m = -5*u + 20 for m. 0 Let s(u) = -u**2 - 16*u - 24. Let w be s(-14). Solve 0 = 2*l - 3*h + 3, w*l + 6*h = h - 17 for l. -3 Let r(p) = -8*p - 17. Let c(b) = -7*b - 16. Let y(z) = 6*c(z) - 5*r(z). Let s be y(-7). Solve 0 = -4*q - 3*d + 1, d = 3*q - s*d - 32 for q. 4 Suppose -3*z - 4*n + 21 = 5, z - 5*n - 18 = 0. Solve 8 = -4*v, 0 = k + 3*v - z*v - 12 for k. 2 Suppose 0*q + 4 = -2*q - s, -5*q = 4*s + 16. Suppose 4*g = n - 29, g + 4*g + 15 = 0. Let w = n + q. Solve f - 2*f = 4*i - 17, -5*f = 3*i - w for f. 1 Suppose 3*t = -d - t - 13, 3*d = 3*t + 21. Solve -5*g = -5, -2 - d = -l - g for l. 4 Suppose -10*u + 14*u = 108. Solve 4*s - u = 5*p, 9*s + 4*p = 5*s for s. 3 Let l(q) = q**2 + 5*q + 7. Let x be l(-4). Solve 3*j + p = 4*p - x, j + 4*p = 19 for j. 3 Suppose f + 3*f = -3*d + 47, 5*f - 4*d - 51 = 0. Let g = -26 - -39. Solve 18 = -5*b + m - f, -b - g = -2*m for b. -5 Suppose 0 = -h + 2, 2*h = -2*t + 5*h - 54. Let v = 28 + t. Solve -4*p + v*b + 1 = 17, b = 5 for p. 1 Suppose -5*s + 5*z = -5, 5*z - 13 + 6 = -s. Suppose -15 = 3*t, -5 = b + 4*t + 15. Solve -3*n + 0*n + 3*k + 18 = 0, s*n + 2*k = b for n. 3 Let u = -814 + 821. Solve -13 = -d + 3*l, l + 2 = -2*d - u for d. -2 Let c(y) = -4*y - 12. Let v be c(-9). Suppose -34*l - v = -36*l. Solve 0 = 4*g - 3*i + 5*i - l, 5*i = 2*g + 6 for g. 2 Suppose 5*g + 148 = -3*l + 54, -69 = 2*l - 3*g. Let n = 38 + l. Solve -12 - n = 5*d - 4*c, 5*c = -3*d - 25 for d. -5 Let o = -111 + 120. Suppose -q + 18 = o*g - 5*g, 0 = -4*q + 8. Solve 3*v + 15 = -g*s, -s = -2*v - 0*s + 1 for v. -1 Let y = -288 - -291. Solve -2 = c + 3*t, -y*c - 2*c = t + 24 for c. -5 Suppose 76 = 3*o - 4*v, 4*v = -6*o + 5*o + 4. Solve 4*a = o, 0 = 2*k - 3*a - 3 + 26 for k. -4 Let z = 109 - 106. Solve 2*b - z*j + 1 = b, -5*b + 21 = -2*j for b. 5 Suppose 0 = m + 5*w - 25, -w = -5*m + 3*w - 20. Suppose 4*d - 3*s = 21, -d + 6*s + 2 = 2*s. Let i = d - -2. Solve -i = -2*r - 2*y, r = 2*y - m + 1 for r. 3 Suppose 13 = 2*o + 5. Let w be (-9 - -7)*-2*(-5)/4. Let l = w + 8. Solve -4*b + 0*b - l*g = -23, -4 = -o*g for b. 5 Let m(c) = 4*c - 191. Let f be m(49). Solve -5*o + o - 5*r - 7 = 0, o - r = f for o. 2 Suppose -17 = -5*x + k, 5*k = 4*x - 7*x - 1. Solve -d = 2*o + 4, o + 5*d = x*o + 16 for o. -3 Suppose -2*z - 134 + 42 = 2*o, 2*o = z + 34. Let p = -17 - z. Suppose 21 = i + 2*i. Solve 2*h = -5*c - 3*h + p, -3*c + h = -i for c. 3 Let i(a) = 3*a**2 - 14*a. Let f be i(0). Solve f = -2*t + 4*b - 10 - 0, 0 = 5*b - 20 for t. 3 Let k = 156 + -151. Solve -2*w + 6 = -k*c, -w + 2 = -2*c - 1 for w. 3 Let s(f) = 31*f + 19 + 4 - 34*f. Let c be s(6). Solve c*g - 10 = 0, 3*x = -2*x + g + 13 for x. 3 Suppose 69 - 25 = 11*d. Solve d*k + 4 = 6*k - 3*m, 4*k = -5*m - 36 for k. -4 Suppose -3*q - 5*a + 16 + 27 = 0, -q - a + 11 = 0. Let m = q + -3. Let r be 4 - -3*(-1)/m. Solve -r*c = -4*c - 3, 3*k - 5*c - 30 = 0 for k. 5 Let y(k) = k**3 - 16*k**2 - 34*k + 293. Let h be y(17). Solve -5*d = h*o, 25 = o - 0*o - 5*d for o. 5 Let y = 2235 + -2232. Let b = 12 + -7. Solve i - w = -i + 12, y*w + 32 = b*i for i. 4 Let m be (21/(-5))/((-267)/890). Solve 12 = -4*z, -5*z + 2 = -3*j + m for j. -1 Suppose -340*t = -335*t - 10. Solve v + 4*j + t = -15, 5*v + 5*j = -25 for v. -1 Suppose 4*o = 3*o + b + 1, 8 = -2*o + 4*b. Suppose 0 = -3*m, -20 = -o*h + h + 3*m. Solve -n - 10 = -0*w - 3*w, -h*n = 2*w + 12 for w. 2 Suppose -5*h + 18 = 3*l, 5*l + 7 = 4*h - 0*h. Let q(g) = 3*g**2 - 7*g - 4. Let n be q(h). Solve 2*j + n*p + 8 = -0*j, 4*j = -5*p - 17 for j. -3 Let f be ((-5)/15)/((-3)/27). Suppose -f*b = -4*b + 6. Suppose 24 = 5*j - b. Solve 2*u = 5*t, 0 = 5*u - 3*t + j*t for u. 0 Suppose -5*a + 4*o = 97, 3*a + 53 = 5*o - 0*o. Let h = 33 + a. Suppose -h = -4*k - 0*k. Solve -12 = -4*s + 5*z, -4*z = -s + 17 - k for s. -2 Suppose 52 = 2*w - 10. Suppose w = -4*l - 21. Let t(s) = -s**2 - 13*s + 5. Let q be t(l). Solve g - 2 = p, 0 = 4*g - 3*g + q*p + 4 for g. 1
{ "pile_set_name": "DM Mathematics" }
mes next: -4308, -8614, -12920, -17226? -21532 What comes next: 19983, 19994, 20019, 20064, 20135, 20238? 20379 What is the next term in 179, 195, 211? 227 What is the next term in -553, -562, -583, -622, -685, -778? -907 What is next in 2, -7, -30, -67, -118, -183, -262? -355 What is the next term in 3, 12, 41, 102, 207, 368, 597, 906? 1307 What is next in 123, 213, 287, 339, 363, 353? 303 What comes next: 51, 67, 101, 159, 247, 371, 537? 751 What is next in -5384, -10766, -16148, -21530, -26912, -32294? -37676 What comes next: -32, -107, -182, -257, -332? -407 What comes next: -1939, -1933, -1925, -1915, -1903, -1889? -1873 What is next in -61, -67, -77, -91, -109, -131, -157? -187 What is the next term in 144, 182, 252, 360, 512, 714? 972 What is the next term in -18, -39, -60, -81? -102 What is the next term in 6412, 6413, 6414, 6415, 6416? 6417 What comes next: -112, -230, -350, -472, -596? -722 What is the next term in 52, 138, 282, 484? 744 What is next in 303, 294, 261, 192, 75? 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-2330 What is next in 1, -14, -55, -134, -263, -454, -719, -1070? -1519 What is the next term in -46, -93, -140, -187? -234 What comes next: -18, -29, -48, -81, -134? -213 What is the next term in -1515, -1527, -1553, -1599, -1671, -1775? -1917 What comes next: -33, -45, -23, 51, 195, 427? 765 What is next in -29, -58, -87, -116? -145 What comes next: -27, -31, -45, -75, -127, -207, -321? -475 What is next in -29, 47, 123, 199, 275, 351? 427 What is next in -10, -13, -2, 35, 110, 235, 422? 683 What is next in -2207, -2206, -2205, -2204? -2203 What comes next: 28254, 56509, 84764? 113019 What is next in 548, 541, 530, 515, 496, 473? 446 What comes next: -51, -214, -483, -858, -1339, -1926? -2619 What is the next term in -8, -14, -34, -74, -140, -238? -374 What is next in -3682, -3689, -3698, -3709, -3722? -3737 What comes next: -172, -331, -490, -649? -808 What comes next: -8381, -8393, -8431, -8507, -8633, -8821? -9083 What comes next: -1469, -1468, -1467? -1466 What is next in -13, -8, 7, 38, 91? 172 What is next in -178, -357, -536? -715 What comes next: 71, 82, 97, 116, 139? 166 What is next in 138, 273, 406, 537, 666, 793? 918 What comes next: -17, -36, -55, -74? -93 What is the next term in 16, 68, 154, 274, 428, 616, 838? 1094 What comes next: -22, -29, -32, -31, -26? -17 What is next in 57, 236, 533, 948, 1481? 2132 What comes next: -20, -38, -46, -38, -8, 50? 142 What is next in 258, 516, 774, 1032? 1290 What comes next: 3742, 7484, 11224, 14962, 18698? 22432 What is the next term in -126, -132, -150, -186, -246, -336, -462, -630? -846 What is the next term in 146, 275, 404, 533? 662 What is next in -143, -566, -1271, -2258? -3527 What is the next term in 2429, 2433, 2439, 2447, 2457, 2469? 2483 What is next in -24, -91, -222, -435, -748, -1179? -1746 What is the next term in -83, -163, -243, -323? -403 What is next in -93, -111, -147, -207, -297? -423 What is next in 2908, 2911, 2916, 2923, 2932? 2943 What is next in -59, -38, -19, -2? 13 What comes next: 60, 55, 40, 9, -44, -125, -240? -395 What is next in -1860, -1853, -1842, -1827? -1808 What is the next term in 19266, 19265, 19264, 19263, 19262? 19261 What is next in -129, -123, -111, -93? -69 What comes next: -66, -143, -232, -333, -446, -571, -708? -857 What is next in -18, -46, -84, -138, -214, -318? -456 What is next in -2570, -5142, -7714? -10286 What is next in -112, -60, 32, 170, 360? 608 What comes next: -9, -7, -3, 3, 11, 21? 33 What comes next: -78, -121, -164, -207, -250, -293? -336 What is the next term in 1522, 3043, 4564? 6085 What is the next term in 205, 422, 655, 910, 1193? 1510 What is next in -19, -27, -21, 11, 81, 201, 383, 639? 981 What is next in 242, 258, 276, 296, 318? 342 What is next in 73, 31, -47, -167, -335, -557? -839 What is the next term in -35, -104, -225, -404, -647, -960, -1349? -1820 What comes next: 0, 1, 4, 9, 16? 25 What comes next: -23, -31, -39, -47, -55, -63? -71 What comes next: 9, 10, 9, 6, 1? -6 What comes next: 967, 1936, 2905, 3874, 4843, 5812? 6781 What comes next: -40, -30, -14, 8, 36, 70? 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{ "pile_set_name": "DM Mathematics" }
lify (sqrt(19) - (sqrt(19) + sqrt(19)*-3 + 3))**2 - (3 + sqrt(76)). -20*sqrt(19) + 177 Simplify (5*(3*-1*sqrt(133))/sqrt(7))**2. 4275 Simplify sqrt(2736) + 0 + 0. 12*sqrt(19) Simplify -5*(sqrt(17) - sqrt(68)/sqrt(4)*-1). -10*sqrt(17) Simplify (-5*(sqrt(2057) - (sqrt(2057) - (sqrt(2057) + -1))))**2. -550*sqrt(17) + 51450 Simplify (sqrt(110) - (sqrt(110) + (sqrt(110)*1 - sqrt(110)))*4)/(sqrt(810)*1). -sqrt(11)/3 Simplify 6*(-4 + (sqrt(5) + sqrt(5)*2)*-1 + -4). -48 - 18*sqrt(5) Simplify (sqrt(418)/((sqrt(11) - sqrt(44)/sqrt(4)) + sqrt(11)))/((1*sqrt(2) + sqrt(2))*5). sqrt(19)/10 Simplify (-1*(sqrt(300) + sqrt(300)*-1 + sqrt(300)) + -1 + sqrt(300) + -4 + sqrt(300))**2*-4. -1300 + 400*sqrt(3) Simplify (2*sqrt(20)/(sqrt(8)/sqrt(2)*-2))**2. 5 Simplify sqrt(320) + -4 - (sqrt(5) - (sqrt(20) + -3)**2). -5*sqrt(5) + 25 Simplify (sqrt(15) - (sqrt(15) - sqrt(1215)*1))/(sqrt(75) + sqrt(75) + sqrt(75)*-1). 9*sqrt(5)/5 Simplify (-4 + (1 + -1 + sqrt(175) + sqrt(175) - (-3*-1*sqrt(175) + sqrt(175))))**2. 80*sqrt(7) + 716 Simplify -1 + 0 + sqrt(117)/(sqrt(45)/sqrt(5) - sqrt(9) - sqrt(9)). -sqrt(13) - 1 Simplify -2 + (sqrt(22)/(sqrt(10)/sqrt(5)))**2. 9 Simplify (sqrt(7) + sqrt(56)/(1*sqrt(8)) - sqrt(7)) + sqrt(7) + 0. 2*sqrt(7) Simplify (sqrt(38) - (sqrt(114)/(sqrt(3)*1) - sqrt(38)))/sqrt(2). sqrt(19) Simplify sqrt(84)/sqrt(3) + 5. 5 + 2*sqrt(7) Simplify ((2*sqrt(187))/sqrt(11) + -5 + sqrt(17) + 0 + sqrt(17))**2. -40*sqrt(17) + 297 Simplify (sqrt(18) - -1*(sqrt(36)/sqrt(2) - sqrt(18)))/(sqrt(192)/sqrt(8)). sqrt(3)/2 Simplify -4 + sqrt(5) + 2*sqrt(5)*-1 + sqrt(5) + -4. -8 Simplify (-3*sqrt(175) + 3 - sqrt(175))**2 + -2. -120*sqrt(7) + 2807 Simplify (sqrt(245)*-1 + -1 - (sqrt(245) + (sqrt(245) - 2*sqrt(245)) + 5))**2 + -2. 84*sqrt(5) + 279 Simplify (sqrt(1539) - (-3*sqrt(1539)*2 - sqrt(1539)))**2. 98496 Simplify -4 + 1 + ((sqrt(343)*-2)**2 + 3 - sqrt(343)). -7*sqrt(7) + 1372 Simplify -1*(sqrt(13) - (sqrt(208) + -5)). -5 + 3*sqrt(13) Simplify sqrt(51)/sqrt(48) - (sqrt(153))**2*6. -918 + sqrt(17)/4 Simplify 1 + (-1*sqrt(1008) + -3 + sqrt(1008))**2. 10 Simplify (3*sqrt(288))/sqrt(6). 12*sqrt(3) Simplify 1*sqrt(170)/sqrt(160). sqrt(17)/4 Simplify (-2*sqrt(17)*3)**2 + sqrt(51)/sqrt(3) + sqrt(17) + -3. 2*sqrt(17) + 609 Simplify 4*((-4*sqrt(304)*3)**2 + sqrt(304) - sqrt(304)). 175104 Simplify ((sqrt(60)/sqrt(4)*1)/(sqrt(3) - 6*sqrt(6)/sqrt(2)))**2. 1/5 Simplify (sqrt(441)/(sqrt(7)*2) - (sqrt(63) + 2 + sqrt(6300)))**2. 126*sqrt(7) + 27799/4 Simplify (sqrt(34)/sqrt(18) - (sqrt(2057) + (sqrt(2057) - 2*sqrt(2057))**2))*-6. 64*sqrt(17) + 12342 Simplify (sqrt(104) + (sqrt(104)*-2 - sqrt(104)) + sqrt(104))/sqrt(8)*-2 + 3. 3 + 2*sqrt(13) Simplify 5*sqrt(13)*-1*4. -20*sqrt(13) Simplify (-1*1*sqrt(110))/(3*-1*sqrt(10)). sqrt(11)/3 Simplify -5 + -5*(sqrt(2) - sqrt(242)) + 2. -3 + 50*sqrt(2) Simplify (-6*-1*sqrt(204))/(sqrt(1452)*3 + sqrt(12)). 3*sqrt(17)/17 Simplify (sqrt(21)/sqrt(7))**2 + -5 + (2*sqrt(243))**2. 970 Simplify (sqrt(88) - ((sqrt(88)*-2 - sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88))*3)/sqrt(8)*-5. -65*sqrt(11) Simplify (-5*(-1*sqrt(200) - sqrt(200)) - sqrt(200) - 6*2*sqrt(200))**2. 1800 Simplify (2*sqrt(363) + 2 + 3)*2. 10 + 44*sqrt(3) Simplify (sqrt(245)*-4 + 3*sqrt(125) + sqrt(125))**2. 320 Simplify (sqrt(7) + 0)*-4 - -6*(sqrt(7) - (sqrt(7) + -2)). -4*sqrt(7) + 12 Simplify (sqrt(209) - 2*sqrt(209)*2)/(sqrt(1331) + -3*sqrt(1331)). 3*sqrt(19)/22 Simplify ((2*sqrt(567) + 0 + sqrt(567) + (sqrt(567) + -1)*6)*6)**2. -34992*sqrt(7) + 1654668 Simplify (((sqrt(42) + sqrt(1050))*5)/(sqrt(72)/sqrt(108)))**2. 56700 Simplify sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243)*-1 + 2)**2) + sqrt(243) + 4. -243 + 72*sqrt(3) Simplify 5 + -1 + sqrt(1377) + 2 + (sqrt(1377) - (sqrt(1377) - (2 + sqrt(1377)))). 8 + 18*sqrt(17) Simplify (sqrt(56) - (sqrt(56) + sqrt(392)/sqrt(7))*-4)/(sqrt(32) + sqrt(96)/sqrt(3) + sqrt(32)). 3*sqrt(7)/2 Simplify ((sqrt(204) - (3*(3*sqrt(204) - sqrt(204)) - sqrt(204)))/sqrt(12))**2. 272 Simplify (sqrt(1872) - sqrt(1872)*-1)/(sqrt(324)*3 + sqrt(4) - sqrt(4)). 4*sqrt(13)/9 Simplify (sqrt(19) - sqrt(57)/(sqrt(15)/sqrt(5))) + (sqrt(38)/sqrt(2) + sqrt(19))*-5 + -2. -10*sqrt(19) - 2 Simplify (sqrt(1573)*1)**2 + (sqrt(52)/(sqrt(20)/sqrt(5)))**2. 1586 Simplify (3*3*(sqrt(7) + 3*sqrt(7)))**2. 9072 Simplify (sqrt(931)*3*-4)**2. 134064 Simplify (sqrt(80) + sqrt(80) + sqrt(80) + 2 + sqrt(80) + sqrt(80))**2*-2 + 5. -4003 - 160*sqrt(5) Simplify -1*-2*sqrt(12). 4*sqrt(3) Simplify 3 + 6*sqrt(605)*-1. -66*sqrt(5) + 3 Simplify ((sqrt(60)/sqrt(432) + -1 + (sqrt(30)/sqrt(6) - sqrt(5)))*-2)**2. -4*sqrt(5)/3 + 41/9 Simplify (-2*(1 + sqrt(684)))**2. 48*sqrt(19) + 2740 Simplify 1*sqrt(13) + 2 - 2*sqrt(208). -7*sqrt(13) + 2 Simplify 0 + sqrt(2057) + 1*2*sqrt(17). 13*sqrt(17) Simplify (sqrt(8)/(sqrt(2) + 1*sqrt(2) + sqrt(2) + sqrt(2)))/sqrt(2) + 2. sqrt(2)/4 + 2 Simplify (sqrt(12) - (sqrt(12) - sqrt(588))*-1)/sqrt(4). -5*sqrt(3) Simplify sqrt(2299) + 1 + 4 + -5*(-1*sqrt(2299))**2. -11490 + 11*sqrt(19) Simplify (sqrt(45)/(sqrt(45)/sqrt(605)))**2 + -4. 601 Simplify ((sqrt(121) - (-2*sqrt(121) + sqrt(121)))/sqrt(11) - ((1*sqrt(77))/sqrt(7))**2)*-6. -12*sqrt(11) + 66 Simplify (5*sqrt(76)*-2)/(sqrt(576)*1) + 4. -5*sqrt(19)/6 + 4 Simplify (sqrt(77) - (((sqrt(77)*-3 - sqrt(77)) + sqrt(77))*-1 - sqrt(77) - sqrt(77) - sqrt(77)))/sqrt(11). sqrt(7) Simplify -1*sqrt(95)/(sqrt(5) + sqrt(5) + sqrt(15)/sqrt(3)) + -5. -5 - sqrt(19)/3 Simplify (sqrt(5) - (sqrt(5) - (sqrt(10) + (-4*sqrt(10) - sqrt(10)))/sqrt(2))**2) + (sqrt(500)*3)**2. sqrt(5) + 4375 Simplify -2 + sqrt(1008)*-3 + sqrt(1008) + 1*-2*sqrt(1008). -48*sqrt(7) - 2 Simplify (sqrt(75) - -5*(4 + sqrt(75)))**2 + -2. 1200*sqrt(3) + 3098 Simplify (-2 + sqrt(208))**2*-4 + 3. -845 + 64*sqrt(13) Simplify (-2 + -3 + -2*sqrt(13))**2. 20*sqrt(13) + 77 Simplify -3*((sqrt(320)*-1)**2 + sqrt(5)). -960 - 3*sqrt(5) Simplify 2*sqrt(162) - (sqrt(2)*-3 + -5). 5 + 21*sqrt(2) Simplify (sqrt(102) - -6*sqrt(102)*2)/sqrt(6) + -5*2*sqrt(68). -7*sqrt(17) Simplify (sqrt(2) + -5 + sqrt(72))**2 + (-4*sqrt(2))**2*6. -70*sqrt(2) + 315 Simplify 1 + (1 + sqrt(180)*2)**2. 24*sqrt(5) + 722 Simplify -3 + (-1 + sqrt(27))*-4. -12*sqrt(3) + 1 Simplify sqrt(44)*2 - sqrt(44) - (sqrt(704) + -2)**2. -708 + 34*sqrt(11) Simplify (-1*sqrt(68)*6)/(2*sqrt(64)). -3*sqrt(17)/4 Simplify ((sqrt(13) + 2 + 0)*6)**2. 144*sqrt(13) + 612 Simplify (sqrt(17) + 2 + -3 - (-2 + sqrt(17) + sqrt(17))*-3)**2*-5. -4410 + 490*sqrt(17) Simplify (sqrt(102) + (sqrt(102)*-5*1 + sqrt(102) - sqrt(102)))/sqrt(6). -4*sqrt(17) Simplify (sqrt(55)/(5*-2*sqrt(11)))**2. 1/20 Simplify (sqrt(132)*-1)/sqrt(12) - sqrt(176)*-5. 19*sqrt(11) Simplify ((-1*sqrt(405) + sqrt(405) + -5)*5)**2. 625 Simplify -3*(sqrt(128)*2)**2*6 + -3. -9219 Simplify (3 + sqrt(1377) + 2*sqrt(1377) + sqrt(1377) - (2*-1*sqrt(1377) - sqrt(1377)))**2. 378*sqrt(17) + 67482 Simplify (-2*sqrt(363) + 0)**2. 1452 Simplify 1*sqrt(34)/(sqrt(2)*1). sqrt(17) Simplify sqrt(98) + -1 + 3. 2 + 7*sqrt(2) Simplify 4*-1*(-1 + sqrt(76)/sqrt(4)). -4*sqrt(19) + 4 Simplify 3*(sqrt(60)/(sqrt(24)/sqrt(4)))/(sqrt(720)/sqrt(9)). 3*sqrt(2)/4 Simplify (-1*sqrt(425) + 3 + 2*(sqrt(425) + -2))**2. -10*sqrt(17) + 426 Simplify ((-3*1*sqrt(130))/(sqrt(160) + sqrt(40)))**2. 13/4 Simplify 4 + sqrt(612) - (0 + sqrt(2057)). -5*sqrt(17) + 4 Simplify (((-2*sqrt(286))/sqrt(11))/(-2*sqrt(18) + sqrt(18)))**2*5. 260/9 Simplify 2 + sqrt(17) + 3 + 3. sqrt(17) + 8 Simplify (sqrt(77)*1*1)/(sqrt(700)*-3). -sqrt(11)/30 Simplify 5 + (sqrt(125) + -3 + (sqrt(125) + 1*sqrt(125) - sqrt(125)))**2 + -1*(sqrt(125) - (sqrt(125)*1)**2). -65*sqrt(5) + 639 Simplify (-5 + sqrt(13) + 2 + 3)**2. 13 Simplify -2 + 0 + sqrt(13) + -1 + 0. -3 + sqrt(13) Simplify (((sqrt(448) + (sqrt(448) - (sqrt(448) + 0 - sqrt(448))) + -4 - sqrt(448)) + sqrt(448) + 0)*6)**2. -4608*sqrt(7) + 65088 Simplify (sqrt(78)/(sqrt(42)/sqrt(7))*2)**2. 52 Simplify -3*(6*(sqrt(72) + -1)**2 - (-1*sqrt(72) + 0)). -1314 + 198*sqrt(2) Simplify -4 + sqrt(76) + (sqrt(19) + sqrt(19) + sqrt(304) + 1)**2. 14*sqrt(19) + 681 Simplify (-5*(2*sqrt(625))/sqrt(5))**2. 12500 Simplify sqrt(605) + -4*(sqrt(605) - (sqrt(605) + 0 + sqrt(605))) + 5. 5 + 55*sqrt(5) Simplify (-5*((sqrt(121) + (sqrt(121) - -1*sqrt(121)) + sqrt(121) - sqrt(121)) + sq
{ "pile_set_name": "DM Mathematics" }
s the next term in -385, -708, -1031, -1354, -1677? -2000 What comes next: 143, 139, 133, 125, 115, 103? 89 What is the next term in 427, 424, 419, 412? 403 What is the next term in 67, 59, 37, -5, -73? -173 What comes next: 213, 435, 665, 909, 1173, 1463, 1785? 2145 What is next in -2825, -2841, -2873, -2927, -3009, -3125? -3281 What comes next: 48, 255, 666, 1335, 2316? 3663 What is next in -12, -22, -36, -60, -100, -162? -252 What is next in 92, 248, 452, 710, 1028, 1412, 1868, 2402? 3020 What is the next term in 314, 423, 534, 647, 762? 879 What is the next term in -866, -867, -868, -869, -870, -871? -872 What is next in 107, 109, 111, 113, 115? 117 What is the next term in 1, -32, -115, -272, -527, -904, -1427, -2120? -3007 What comes next: 3, -13, -57, -135, -253? -417 What is the next term in -26, -10, 18, 58, 110, 174? 250 What is next in -71, -110, -149, -188, -227? -266 What is the next term in 34, 52, 60, 58, 46, 24, -8? -50 What comes next: -3, -16, -43, -90, -163, -268, -411, -598? -835 What is the next term in 335, 338, 335, 320, 287, 230, 143? 20 What is the next term in -15127, -15130, -15133, -15136, -15139? -15142 What is next in 91, 92, 93, 94, 95, 96? 97 What is the next term in -77, -123, -193, -299, -453? -667 What is next in 517, 1028, 1525, 2002, 2453? 2872 What is next in -53, -81, -95, -89, -57, 7, 109, 255? 451 What comes next: 2942, 2937, 2932? 2927 What comes next: 40, 11, -18, -47, -76, -105? -134 What is the next term in -1189, -2377, -3565, -4753, -5941, -7129? -8317 What comes next: 103, 120, 149, 190, 243, 308? 385 What is the next term in -1683, -1686, -1689, -1692? -1695 What comes next: -61, -260, -585, -1030, -1589? -2256 What comes next: 118, 114, 100, 70, 18, -62, -176, -330? -530 What is next in 2575, 2574, 2573, 2572, 2571, 2570? 2569 What is next in -1022, -2045, -3070, -4097, -5126, -6157, -7190? -8225 What comes next: -27, -56, -111, -204, -347, -552, -831, -1196? -1659 What is the next term in -244, -249, -254? -259 What is the next term in 2, 4, 8, 14, 22? 32 What is next in 77, 126, 217, 356, 549, 802, 1121? 1512 What comes next: -6937, -6933, -6927, -6919, -6909? -6897 What comes next: 347, 792, 1247, 1718, 2211? 2732 What comes next: -267, -275, -287, -303, -323? -347 What is next in 905, 1925, 2955, 4001, 5069? 6165 What is next in -371, -363, -351, -335? -315 What is the next term in -71, -76, -81? -86 What is the next term in -21, -5, 23, 69, 139, 239, 375, 553? 779 What is next in -11, 5, 21, 37, 53, 69? 85 What is the next term in 39, 153, 343, 609, 951, 1369? 1863 What is the next term in -1, 5, 11, 17? 23 What comes next: 113, 406, 903, 1610, 2533, 3678, 5051, 6658? 8505 What is next in 5, 9, 15, 23, 33? 45 What comes next: -37, -49, -73, -115, -181? -277 What comes next: -435, -863, -1287, -1707, -2123? -2535 What is next in 22, -38, -146, -308, -530, -818? -1178 What is next in 35, 24, -13, -88, -213? -400 What comes next: 14, 66, 156, 290, 474, 714, 1016? 1386 What comes next: -137, -305, -471, -635, -797, -957? -1115 What is next in 949, 1899, 2847, 3793, 4737, 5679? 6619 What comes next: 143, 274, 403, 530, 655, 778, 899? 1018 What is the next term in -8, -28, -60, -104, -160, -228, -308? -400 What is next in -15394, -15388, -15378, -15364, -15346, -15324? -15298 What is the next term in 1697, 1700, 1703? 1706 What is the next term in 13, 37, 83, 157, 265, 413? 607 What is the next term in 11, 3, -7, -19, -33? -49 What comes next: -697, -700, -705, -712, -721, -732, -745? -760 What comes next: -17, -75, -171, -305, -477, -687, -935? -1221 What is the next term in 29, 26, 25, 26, 29, 34? 41 What is the next term in -12, -49, -86, -123? -160 What is next in 41, 201, 467, 839, 1317? 1901 What is the next term in 249, 247, 245, 243? 241 What is next in 110, 116, 124, 134, 146? 160 What is next in 391, 783, 1179, 1579, 1983, 2391? 2803 What comes next: -17, -111, -371, -881, -1725? -2987 What is next in 47, 90, 131, 170, 207, 242, 275? 306 What is next in 5313, 5311, 5309, 5307, 5305, 5303? 5301 What is next in 639, 624, 593, 540, 459, 344, 189? -12 What comes next: 160, 662, 1498, 2668, 4172? 6010 What is next in -39, -100, -201, -342, -523, -744, -1005? -1306 What is next in 257, 493, 727, 959, 1189? 1417 What is the next term in -7371, -14741, -22111, -29481? -36851 What is next in -2721, -2720, -2719, -2718? -2717 What is the next term in -7, 22, 91, 218, 421? 718 What is the next term in 9, 36, 115, 270, 525, 904? 1431 What is the next term in -7, -88, -185, -304, -451, -632, -853, -1120? -1439 What is the next term in -30, 4, 54, 114, 178, 240, 294? 334 What is next in 29, 40, 51? 62 What is next in -494, -1004, -1524, -2060, -2618, -3204, -3824? -4484 What is next in 78, 83, 90, 99, 110, 123, 138? 155 What is next in 71, 144, 217, 290, 363? 436 What is next in 174, 387, 600? 813 What is the next term in 285, 562, 831, 1092, 1345? 1590 What comes next: -79, -78, -75, -70? -63 What is the next term in 1, 16, 47, 100, 181, 296, 451? 652 What is next in 31, 63, 97, 133, 171, 211? 253 What comes next: 16185, 16193, 16215, 16257, 16325, 16425? 16563 What is next in 126, 146, 178, 228, 302, 406, 546? 728 What is next in 15, -64, -195, -378, -613? -900 What is next in -59, -131, -201, -263, -311? -339 What comes next: 526, 1050, 1574, 2098? 2622 What comes next: 1809, 1800, 1781, 1746, 1689, 1604, 1485? 1326 What is the next term in 21, 40, 55, 66? 73 What is the next term in 310, 629, 962, 1315, 1694, 2105, 2554, 3047? 3590 What is the next term in -1, 12, 51, 128, 255, 444, 707? 1056 What is next in 489, 490, 491, 492, 493, 494? 495 What comes next: 181, 170, 143, 94, 17, -94? -245 What is next in 261, 232, 155, 6, -239? -604 What comes next: -76, -310, -700, -1246, -1948, -2806? -3820 What is the next term in -44, -129, -256, -413, -588, -769? -944 What is the next term in 9, 35, 67, 99, 125, 139? 135 What is next in -10, -40, -120, -274, -526, -900, -1420, -2110? -2994 What is next in -13, -165, -591, -1429, -2817, -4893, -7795, -11661? -16629 What is the next term in -102, -77, -52, -27, -2? 23 What is the next term in -73, -76, -79, -82, -85? -88 What is the next term in -8, -19, -34, -53, -76, -103, -134? -169 What is the next term in -91, -123, -159, -199, -243, -291, -343? -399 What is next in 228, 660, 1374, 2364, 3624, 5148? 6930 What comes next: 14, 17, 22, 29, 38? 49 What comes next: -10, -22, -34, -40, -34? -10 What is the next term in -81, -80, -79, -78? -77 What is next in -1143, -1165, -1199, -1251, -1327, -1433, -1575, -1759? -1991 What is next in -11279, -22560, -33841, -45122? -56403 What is next in 1089, 1091, 1095, 1101? 1109 What is next in 5632, 5630, 5628, 5626, 5624? 5622 What is next in -658, -680, -706, -730, -746, -748, -730, -686? -610 What is the next term in -14724, -14722, -14720, -14718, -14716, -14714? -14712 What is next in 673, 672, 661, 634, 585, 508, 397? 246 What is next in 30, 130, 398, 918, 1774, 3050, 4830, 7198? 10238 What is the next term in 1441, 1438, 1435, 1432, 1429? 1426 What is the next term in -5, -19, -67, -167, -337, -595, -959? -1447 What is the next term in -813, -816, -819, -822, -825? -828 What comes next: 16, 38, 60, 82, 104? 126 What is the next term in -9, -23, -23, 3, 67, 181, 357, 607? 943 What is the next term in -19, -40, -61, -76, -79, -64, -25? 44 What is the next term in -145, -166, -223, -334, -517, -790, -1171? -1678 What is next in 32, 79, 152, 245, 352, 467? 584 What comes next: 44, 80, 118, 164, 224, 304, 410? 548 What is the next term in -77, -65, -39, 7, 79, 183, 325, 511? 747 What comes next: 1074, 2145, 3216, 4287, 5358? 6429 What is next in 2, 14, 34, 62, 98, 142, 194? 254 What is next in -58, 59, 248, 503, 818, 1187? 1604 What is the next term in -24, -13, -16, -39, -88, -169, -288? -451 What comes next: 52, 175, 386, 691, 1096? 1607 What is next in -2, -1, 0? 1 What is next in -911, -913, -923, -947, -991, -1061? -1163 What is the next term in 18, 6, -52, -180, -402, -742? -1224 What comes next: -643, -1301, -1961, -2623, -3287, -3953? -4621 What is next in 11, -56, -195, -406, -689, -1044, -1471? -1970 What is next in -5, -20, -27, -20, 7, 60, 145, 268? 435 What is the next term in -42, -32, -10, 30, 94?
{ "pile_set_name": "DM Mathematics" }
-2 + 1)*6/o. Solve 0 = -3*u - 0 + p for u. 1 Suppose 13 - 41 = 4*p. Let x be (8 + p)/(2/(-30)). Let y be (-32)/(-10) - (-3)/x. Solve 3 = -y*v + 6 for v. 1 Let j(q) = -q**3 - 6*q**2 - q - 7. Let k be j(-6). Let w(u) = 3 - 2 + 0 - u. Let l be w(k). Solve 0 = 2*o + 2 + l for o. -2 Let q(o) = o**2 - 2. Let g(y) = -y**2 + 5*y. Let i be g(5). Let w be q(i). Let v be (w + 3 - 2)*-2. Solve l - v*l = -2 for l. 2 Suppose 5*l - 40 = -5. Solve l + 1 = -4*g for g. -2 Let u = -5 + 7. Solve -3*i = u*i + 25 for i. -5 Let w = 3 + -1. Solve -w*g = -0*g for g. 0 Let j = 3 + -3. Solve j*g = -4*g - 4 for g. -1 Let k(b) = -b**2 - 12*b + 6. Let g(r) = -r. Let a be g(12). Let f be k(a). Solve -4*h + 2*h = -f for h. 3 Let y = 0 + -12. Let l = y - -14. Solve 3*c - 1 = l*c for c. 1 Suppose 35 = 2*t - 5. Let z be 3/(1 - -2) + -4. Let v = z - -7. Solve t = -0*r + v*r for r. 5 Suppose -r - 5*a + 31 = 8, r + 22 = 4*a. Let o(j) = -5*j + 1. Let z be o(r). Solve -4*u = -z + 31 for u. -5 Let k = 15 + -13. Solve 7 = k*y + 3 for y. 2 Suppose 4*a - g + 7 = 24, 2 = -a - g. Let b = 4 - -8. Let m be ((-50)/6)/((-4)/b). Solve a*p + 2*p = -m for p. -5 Suppose 0 = 5*i + 2*u + 19, u = i + 11 - 3. Let r(j) = j**3 + 4*j**2 - 7*j - 5. Let h be r(i). Solve h = 4*g + 1 for g. 1 Let y(l) = l**2 + 10*l + 12. Let o be y(-9). Solve 2*c - 20 = -o*c for c. 4 Let q(g) = g**2 - 4*g + 6. Let u be q(3). Solve 0 = 2*h + u*h for h. 0 Let j = 5 + 0. Suppose -12 = -j*q - 3*y, -4*y + 1 = 5. Solve -12 = 7*a - q*a for a. -3 Let f be 26/6 - (-2)/(-6). Let k = 69 + -46. Let s = -22 + k. Solve -f*b - s = 3 for b. -1 Let f be (5 + -4)*(-1 + 2). Let j(w) = -7*w**2 - w + 1. Let v be j(f). Let a = 32 + v. Solve -5*s + 0*s + a = 0 for s. 5 Let l = 3 - 0. Let c = -18 - -24. Solve -c = -l*o - 3 for o. 1 Let m(x) = -x - 2. Let t be m(-6). Solve 0 = 4*d - 0*d + t for d. -1 Let u be 15/5 - (1 - 2). Solve u*m + 2 = 18 for m. 4 Let u(m) = -m**3 + 4*m**2 + 5*m + 1. Let v be u(5). Suppose 8 = 3*t + w + 2, -5*w + 20 = 5*t. Let b = t - -3. Solve -v = -i + b for i. 5 Let x be ((-3)/(-9))/((-6)/(-36)). Let l be 0/(2 + 4 + -5). Solve x*h - 6*h = l for h. 0 Suppose v + 5 - 9 = 0. Solve z = v*z for z. 0 Suppose 2*n - 3*i - 48 = -5*i, 2*i = 2*n - 28. Solve 4*f + 3 = n for f. 4 Let s(q) = -q - 12. Let l be s(-12). Solve l*p + 5 = -p for p. -5 Let t be ((-30)/4)/((-6)/8). Suppose 0*z + t = 2*z. Solve 3*i + 4 = -z for i. -3 Suppose -m = -11 - 6. Suppose -m = -2*v - v + f, 18 = 4*v + f. Solve -7 = 4*x + v for x. -3 Suppose 16 = 2*u + 38. Let d be (1 - (-2 - -2))*u. Let m(s) = s + 15. Let r be m(d). Solve 5*q - r*q - 1 = 0 for q. 1 Let k(x) = -4*x - 3. Let b(f) = f + 4. Let w be b(-6). Let c be k(w). Let y = 17 + -10. Solve 0 = -2*m + y*m - c for m. 1 Let p be (-5)/5*(-2 - 2). Solve -f - f = -p for f. 2 Suppose -m + 4 = 3*m. Let c = m - 0. Solve -5 = 3*a + c for a. -2 Suppose -5*k = -4*a - a - 20, 16 = -5*a + 4*k. Suppose -u = 4*p - 13, a*u - 8 = -2*u + p. Let s = u - 3. Solve 0 = -s*h + 4 - 14 for h. -5 Let n(i) be the second derivative of 2/3*i**4 - 5*i - 1/20*i**5 - 7/6*i**3 + 9/2*i**2 + 0. Let a be n(7). Solve 11 + a = 4*b for b. 5 Let b(q) = -q**2 - 9*q - 7. Let y be b(-7). Suppose s + 24 = -y. Let d = -22 - s. Solve -1 = 2*j - d for j. 4 Suppose 2 = -3*m + b + 5, 4*m = 2*b + 2. Let n be (6/9 + -2)/(6/(-27)). Solve -m*t = -0*t - n for t. 3 Suppose -53 - 87 = -7*o. Let d be (-1)/(-2 + 1) - -2. Suppose o = d*h + h. Solve -3*y + 2 = h for y. -1 Suppose -5*t - 2 = -4*a, 5*a - 2*t + t = -8. Let k = a - -4. Let g be 9/6 + k/4. Solve 0 = -g*n + 8 - 4 for n. 2 Let v be (-15)/(-6) - 4/(-8). Suppose -9 = d + 6*f - 2*f, 3*d = -v*f. Solve -d*y = -1 - 8 for y. 3 Let x be (9/(-12))/(9/(-24)). Suppose 0 = 2*h + 4*l - 3*l - 11, 4*l = -x*h - 4. Solve -2 = -3*i - h for i. -2 Let q be (-6)/(-33) + 62/22. Solve -q*y = -0*y + 6 for y. -2 Let t(c) = c**3 + 5*c**2 - 7*c. Let w(v) = -v**3 - 3*v**2 + 3*v + 3. Let h be w(-3). Let s be t(h). Solve 0 = -s*n + n for n. 0 Suppose 2*a - 5*m = -27, 5*m - 6 - 39 = 5*a. Let y be a*(-1 + 0) + 1. Solve z + 2 = y for z. 5 Suppose 5*b - 7 = 3, 54 = 4*x - 3*b. Let k = 18 - x. Solve 2 - k = r for r. -1 Suppose -3*k = -2*c + 15, k = -2*c - 2*c + 65. Solve -4*s = s + c for s. -3 Let h(l) = -l**3 - l**2 - 3*l - 5. Let n be h(-2). Solve n*s = s - 4 for s. -1 Let q(l) = 0*l - l + l - 2*l + 26. Let s be q(13). Solve 5*y + s = -10 for y. -2 Suppose 3*i = 6*i - 9*i. Solve 0*g - 4*g = i for g. 0 Let b = 11 + -11. Solve 0 = 5*h - b - 5 for h. 1 Let o = -3 + 7. Let g be 3/(-2)*o/6. Let t be (1/(-3))/(g/15). Solve -2 = -t*i + 18 for i. 4 Suppose 4 + 4 = 4*x. Let o be 1/(3*(-2)/(-18)). Let r be (-2)/((-2)/o) - 0. Solve x*u + r = 5 for u. 1 Let u be 0 - (-2)/3*3. Solve 3*d - 1 = u for d. 1 Let x(m) = 4*m - 5. Let d be x(2). Solve 7*h = d*h - 8 for h. -2 Let s(q) = -q**2 + 1. Let u(o) = 2*o**2 - o - 4. Let j(f) = -5*s(f) - u(f). Let c be j(1). Suppose 0 = x + c*x - 8. Solve 0 = -x*a - a for a. 0 Let m = 0 + -3. Let w be 3*(-1 + (-5)/m). Suppose 25 = 5*a + 5*y, -w*y = -2*a + y + 5. Solve x + a = -0 for x. -4 Suppose 3*g - 6*g + 18 = 0. Suppose n + 10 = 4*d, n + 46 = g*n + 4*d. Solve i + i - n = 0 for i. 3 Let o = 17 + -13. Solve -9*d = -o*d for d. 0 Suppose -2*f + 7*f - j - 4 = 0, 4*f + 4*j = -16. Suppose d + 4*d - 20 = -5*b, f = -d + b. Solve -d*c = 2 - 0 for c. -1 Let r(q) = -q**2 - 7*q + 11. Let j be r(-8). Suppose -j*g - 7 = -43. Solve 3*n + n = -g for n. -3 Let g be ((2 - 0)/2)/1. Let j be (g*2)/((-8)/(-12)). Let r = -1 + j. Solve 0 = -y + 1 + r for y. 3 Let l = 7 - 6. Let a = l + 2. Solve -a*b = b - 20 for b. 5 Suppose 0 = 7*n + 11*n - 90. Solve -9*g + n*g = -12 for g. 3 Let p = 6 - 4. Suppose 0 = w + 4*d - 20, 2*d - 7 = 1. Suppose -2*l + 10 = -3*i, -5*i = l + w*l. Solve -p*b = l*b - 20 for b. 5 Suppose 7*h - 2*h = 5*q + 40, -5*h = 5*q - 30. Solve -2*c + 3 = h for c. -2 Let f be (1 - 3 - -2) + 1. Suppose -2*u = -0*u - 2*i - 6, -2*u - f = 5*i. Solve -u*p + 0 - 4 = 0 for p. -2 Let i = 115 + -108. Solve a - 3 = -i for a. -4 Let z be 10 + -2 - 4*12/16. Let g be 2*(-2)/6*-3. Let t = -18 + 19. Solve t = -g*j + z for j. 2 Let o(q) = -q**3 + 7*q**2 + q. Let z be o(7). Let t be z - (0 - 3)*-1. Solve t*p + p = 0 for p. 0 Suppose -2 = -0*x + x - 4*v, -x + v = -1. Solve x*j = -2*j for j. 0 Suppose -4*u - 21 = -41. Solve -l + 2*l - u = 0 for l. 5 Suppose -q - 10 = -2*q. Solve -3*o - q = 2 for o. -4 Let l = 15 - 14. Let z(s) = -s + 1. Let r be z(l). Solve 0*h - 5*h - 5 = r for h. -1 Let z = 55 - 55. Solve -3*h = -z*h - 6 for h. 2 Suppose 3*d = -5*v - 12, 5*d + 2*v + 0*v = -20. Let n = -4 - d. Solve -3*m - 2*m = n for m. 0 Suppose 3*y = 2*w, -4*y - w - 14 = w. Let z = y - -2. Suppose 5*x + 3 = 83. Solve z = -5*h + h + x for h. 4 Let n(b) = -2*b + 7. Let c be n(-6). Let k = -17 + c. Solve t - k - 1 = 0 for t. 3 Let f be 28/5 - (-27)/(-45). Solve -f = -2*a - 3*a for a. 1 Let c(n) = n**3 + 6*n**2 + 4*n + 3. Let x(o) = 3*o - 4*o + 6*o. Let a be x(-1). Let k be c(a). Solve -k - 12 = -4*r for r. 5 Let g be -2 - 22/(-6) - 5/(-15). Solve 2*x + 12 = g for x. -5 Let v be ((-2)/6)/(8/(-120)). Suppose -u - 9 = 4*n - n, 2*n = -v*u + 7. Let o be (-2)/(-1 - (0 - -1)). Solve 5 = -u*h - o for h. -2 Suppose 0 = -2*c + 5 + 9. Let h(u) = -1. Let k(j) = -j + 1. Let w(q) = -6*h(q) + k(q). Let l be w(c). Solve 0 = -l*s + s for s. 0 Let d = -7 + 7. Let l be d + 1 - 0/(-1). Solve 5 - l = -q for q. -4 Suppose i - 3 + 0 = -3*p, 3*i = 2*p - 13. Suppose -x - 9 = -5*a, 3*x = a + p*a - 3. Solve -2*j = 11 - x for j. -5 Let q = 16 + -16. Solve 2 = -q*w + w for w. 2 Let t = 25 + -23. Solve -t*b - 8 = -0*b for b. -4 Let a(q) = q**3 - q**2 - q + 2. Let n be a(2). Suppose -k = -0*k + 5*x - 5, -n*k + 20 = x. Solve -3 - 12 = k*m for m. -3 Let i = -27 - -31. Solve -i = -3*g + 5 for g. 3 Let s be -5 - -2 - 4/(-2). Let g be s/2*4*-1. Solve 3 + g = p for p. 5 Let g = 16 - 10. Suppose -2*m - 2*x = -g*x - 20, 4*x = 3*m - 20. Solve m = d + 2*d for d. 0 Suppose 0 = -4*j + 7*j - 12. Solve 15 = l + j*l for l. 3 Suppose -2*t + 16 = j, -t + 3*t + 4 = 4*j. Suppose t*r = r + 45. Suppose -r = -2*k - 3. Solve -2*q = q - k for q. 1 Let b be ((-8)/(-16))/((-2)/(-8)). Let a(x) = 2*x - 5. Let u be a(4). Solve -b*s = u + 1 for s. -2 Let b(t) be the second derivative of -t**4/12 + 4*t**3/3 - 5*t**2/2 +
{ "pile_set_name": "DM Mathematics" }
j + 2 for j. 5 Suppose -28 = -4*q + 8. Let f = -4 + q. Solve -f*l = -22 + 2 for l. 4 Suppose 0 = 2*m - 2*f - 4, 4*m - 4*f + 7*f - 43 = 0. Suppose -m*d + 12 = -2. Solve -2 - 2 = d*o for o. -2 Let n(q) = q**2 + 12*q + 5. Let a be n(-12). Suppose 0 = -5*f - c + 149 - 43, -3*f + 62 = c. Solve -f + 7 = -a*k for k. 3 Let b(y) = y + 2. Let x be b(4). Solve x = -u + 2 for u. -4 Let g(r) = -r**2 - 8*r + 6. Let p be g(-8). Solve 0 = -5*y + 1 - p for y. -1 Suppose -3*v = 9, -3*b + v - 2 = -23. Let u be (6/(-4) + 2)*2. Let n = 2 + u. Solve b = n*y + 3 for y. 1 Let m be 4 + 49 + 0/(-3). Suppose 21 - m = -4*z. Solve 4*g + 12 = -z for g. -5 Suppose -2*w - 2 + 0 = 0. Let x be 0*(0 + w)/1. Suppose 0 = -x*b + 2*b + 3*z - 15, -20 = 4*b - 4*z. Solve -5*q + b = -5 for q. 1 Let z = -9 - -15. Let k(o) = o**2 + 7*o + 9. Let g be k(-6). Suppose g*n - 6 = n. Solve n*r = r - z for r. -3 Let t = 111 + -104. Solve 5*i - t*i + 4 = 0 for i. 2 Let y(q) = -2*q**2 - 9*q - 9. Let k be y(-7). Let i = k - -25. Let d = 27 + i. Solve 0*t + 4*t = d for t. 2 Let c be (16/(-4) - -8) + 0. Solve 5*x + 4 = c*x for x. -4 Suppose -102 = -3*b - 5*k - 39, -k + 83 = 5*b. Let i(c) = -c - 4. Let q be i(-6). Solve -2*j + b = q*j for j. 4 Suppose 3*w - 4*y = 19, 3*w - 2*y - 10 = w. Solve 0 = -q - w + 5 for q. 4 Suppose -3*a + 10 = -x - 21, x = 5*a - 49. Let t be (-19)/(-3) + 3/(-9). Let c = a - t. Solve -3*u - c + 6 = 0 for u. 1 Let z = 7 - 7. Suppose 2*n = -z*n + 50. Solve 5*t + n = -0 for t. -5 Suppose -5*r + 20 = 10. Solve r*b = -0*b - 6 for b. -3 Let u = 31 + -23. Solve 0 = -2*g - 0*g + u for g. 4 Suppose 5*c - 3*c = 14. Let m = c - 0. Suppose -2*f + m*f = 10. Solve 4 = 2*g + f for g. 1 Let w be (-4)/(-3 - (-2 + 1)). Suppose 0 + 10 = 5*f. Suppose -41 = -3*i + 5*x, 2*i = -3*x + 4 - f. Solve 5*d - w = -i for d. -1 Suppose -5 = 3*i + 4. Let m be -1*i/(3/5). Suppose -m*a = -5*j - 10, -3*a + 7 - 1 = -5*j. Solve -3*q + 5 = a*q for q. 1 Suppose -2*y = 4*s - 22, -2 = 2*y - 4*s + 2*s. Solve 0 = -l - y*l - 16 for l. -4 Let d = 8 + -4. Let r be (d + -2)*(1 - 0). Solve 10 = 2*t + r for t. 4 Let g = 144 + -139. Solve -g*q = -3*q for q. 0 Let l = 14 - 8. Let y(g) = g**2 - 6*g - 5. Let k be y(l). Let a(f) = f**2 + 5*f + 5. Let t be a(k). Solve j = -0*j - t for j. -5 Let y be (1 + -31)/(1 - 1*3). Solve 6*o + y = 3*o for o. -5 Suppose -2*z = -4*z - 3*o + 6, 0 = -2*z + 3*o + 6. Let r be (0/3)/3 - z. Let i be 1/2*(-24)/r. Solve 3*m + 16 = i for m. -4 Suppose -k - m + 15 = 0, -k + 3*k = -3*m + 27. Let q be k/4*8/12. Suppose 2*x = q*x. Solve x = -l + 1 + 3 for l. 4 Let y(z) = -z**3 + 6*z**2 - 6*z + 7. Let a be y(5). Let q(m) = m + 1. Let k be q(a). Solve -2 = -k*r + 1 for r. 1 Let q = 4 - -5. Solve -q*u + 14*u - 20 = 0 for u. 4 Let d(p) = -p + 2. Let l be d(0). Suppose 129 = -l*z - 1. Let a be z/(-7) + (-8)/28. Solve 2*r = a - 1 for r. 4 Let g(q) = -q - 3. Let h be g(-7). Solve h + 1 = v for v. 5 Suppose 24 + 9 = 11*d. Solve d*j + 5 = 20 for j. 5 Suppose -x - 2*x + 72 = 5*n, -5*x = -5*n + 80. Solve 2*b = -b - n for b. -5 Suppose -4*d + s = d - 102, s = -2. Solve -d = 3*u - 8 for u. -4 Suppose -4*f = -16, y = -f + 5*f - 1. Let w be (15/9)/(1/3). Solve w*d - 2*d = y for d. 5 Let n(i) = -i - 5. Let c(u) = -2*u - 5. Let a(m) = -3*c(m) + 4*n(m). Let w be a(5). Solve 2 - w = 3*f for f. -1 Let q(i) = -i**3 + 4*i**2 + 5*i + 5. Let c be q(5). Suppose 33 = 4*t - 39. Suppose 0 = -c*r + 32 + t. Solve 5*d - r = -0*d for d. 2 Let q be 3*(-1)/(-3) - -2. Suppose -q*x + 6*m - 10 = 2*m, -5*m + 3 = x. Let n = -1 - x. Solve -u + 0 = n for u. -1 Let c(l) = -2*l + 24. Let y be c(11). Solve -3*t - 15 = y*t for t. -3 Suppose -5*c + 290 = 60. Let o(a) = -a**3 + 7*a**2 - 6*a. Let d be o(6). Suppose d = -5*p + c + 4. Solve -5*u + 0*u = p for u. -2 Suppose 4*y - 76 = -4*p + 6*y, -5*y = 20. Let u = -14 + p. Solve -u*g + 0 = 3 for g. -1 Suppose 2*f = 7*f - 30. Let b = -2 + f. Solve -b*w - w - 20 = 0 for w. -4 Let q = 3 - 0. Suppose 3*z = 7*z. Solve -q*w + 4*w + 2 = z for w. -2 Let u be ((-10)/(-6))/(2/6). Suppose -b + u*r + 6 = -10, -5*r - 48 = -3*b. Solve 3*w + w + b = 0 for w. -4 Suppose 45 = -5*a - 5*w, -4*a + 2*w - 14 = 10. Let x be (a/28)/((-2)/16). Solve x*f - 6 = -0*f for f. 3 Let l(d) = -d**2 + d - 22. Let c be l(0). Let a = 24 + c. Solve 0 = -a*h + 5*h for h. 0 Suppose 2*i + 5 = -i + 5*r, 2*i - 2*r + 2 = 0. Solve i = -h - h - 10 for h. -5 Let h(p) = -p. Let v be h(-5). Suppose 4*i + 17 = v*w, i + 4*w - w = 0. Let a = i + 5. Solve -f - a = -2*f for f. 2 Let v(x) = x**2 - 12*x - 25. Let p be v(14). Solve 2*y - 1 = p*y for y. -1 Let v be (-2)/(2/3) - -6. Suppose -w + 6 = -v. Solve -4*c = -w*c for c. 0 Let b = -8 - -10. Solve b*a = a for a. 0 Let r(b) be the second derivative of -b**4/12 + 5*b**3/3 + 3*b**2 + 4*b. Suppose 16 = 4*t + 5*y, 3*t + 5*y - 3 = 4. Let o be r(t). Solve 4*s + 3 = o for s. 3 Let g(o) = -o**3 + 4*o**2 + 4*o + 11. Let j be g(5). Solve 0 = -0*z + 3*z - j for z. 2 Let d be 2/7 + 684/(-42). Let x be (-140)/d - 6/8. Solve 4*h = x - 0 for h. 2 Let h be (2 + 1)/(-1) + 3. Solve h*p - 2*p = 4 for p. -2 Let o = 8 - 4. Suppose 7*c = 2*c + l + 9, -2*l = -2*c + 10. Suppose c = r - o. Solve -r = -4*t + 3 for t. 2 Suppose 4 = 4*a - 12. Solve -a*j + 1 = -11 for j. 3 Let z = 5 - -1. Suppose 4 = 9*v - 7*v. Solve 0 = -v*p + z*p for p. 0 Suppose b + 4*b - 4*c + 20 = 0, 2*b - 5*c = -8. Let s = b - -8. Suppose 0*o + s = o. Solve 0 = o*x - 2*x - 6 for x. 3 Let p be 5 - (-2 + 5 - 1). Suppose 2*l - 5*c - 26 = 0, 0*c + 21 = p*l - 3*c. Solve -l*s - 5 = -2 for s. -1 Let y be 18/(-90) - (-2)/10. Let z be 4 - (1 - (-2 - -1)). Solve -7*f + z*f = y for f. 0 Let n(k) = -13*k + 2. Let o be n(2). Let s be (3/(-2))/(12/o). Solve -s*t - t = -12 for t. 3 Suppose -4*y + 10 = y + 4*w, 4*y + 2*w - 8 = 0. Let f(z) = 2*z**3 - 4*z**2 + 2*z**2 - z**2. Let i be f(y). Solve -t = i*t - 15 for t. 3 Suppose -t - v - v = -16, 3*v = -4*t + 49. Suppose -3*p = -7*p + 112. Suppose -2*q = -p + t. Solve -4*l + q = -11 for l. 5 Let n be 6*(-12)/(-18) - 4. Solve -5*x + n*x + 15 = 0 for x. 3 Let b be 0/(10/65 - 33/(-39)). Solve b = 5*d - 4*d for d. 0 Let r(z) = -3*z**2 + 1. Let f(p) = -16*p**2 + p + 5. Let a(j) = -2*f(j) + 11*r(j). Let l be a(-3). Let k = 2 + l. Solve v - 5*v = k for v. 0 Let y(a) = a**2 + 2*a - 8. Let r be y(2). Solve r = -3*t + 3 - 18 for t. -5 Let c = 10 - 10. Solve c = 2*u - 6*u + 20 for u. 5 Let v be ((-6)/8)/(4/(-16)). Suppose r = -0 + v. Solve 0*w = -3*w + r for w. 1 Let w = -2 + 4. Let t be 0/(1 + -1*w). Suppose t*f = -4*f + 28. Solve -4*d = f - 19 for d. 3 Let v = 3 + -2. Let n(b) = 3*b**2 + 2*b + 1. Let k be n(-1). Suppose k*o - 3 = v. Solve g = o*g + 5 for g. -5 Suppose 4*s - 5 = 4*k - k, 2*k = -4*s + 10. Solve s*c - 4 = -2*c for c. 1 Let c(q) = -4*q**3 + 1. Let w be c(-1). Let v be 1/(1 - w/6). Solve 0 = v*n - 4*n + 8 for n. -4 Suppose 10 = -3*t - 14. Let w be ((-5)/(-10))/((-2)/t). Solve 10 = -0*o - w*o for o. -5 Let w = 29 - 21. Suppose m = -m + w. Suppose 0*s + 30 = 3*s - 3*b, -3*b = -6. Solve m*q + 0*q = s for q. 3 Suppose -5*z - 14 = -4. Let c be (-768)/(-54) + z/9. Solve 4*x - 2 = c for x. 4 Let u(j) = -3*j - 5. Let q be u(-4). Solve -4*y - q = -3 for y. -1 Suppose 0 = -6*g + 2*g. Suppose -4*s - 5*a = -5*s - 10, -4*s = -a + 2. Solve g = -j - s - 3 for j. -3 Suppose 4*j + 0*j = -4*p, j - 3*p = 12. Solve -8 = -j*v + v for v. 4 Suppose 0 = -3*q + 3*z + 81 - 24, -4*z - 12 = 0. Suppose 0 = 4*o - 8. Let n = 2 + o. Solve 0 = 4*b + n - q for b. 3 Suppose -j - v = 4*j + 11, -2*j - 1 = -3*v. Let c be (j - -3)*-10 + 1. Let l be (-1)/(-5) + c/(-5). Solve 0 = 2*o - 4*o - l for o. -1 Suppose 2*a - 15 = 4*l + 9, 4*a - l - 13 = 0. Solve a*w + 3 = -w for w. -1 Suppose -7*g = -4*g - 6. Let y be 1*(g/1 - 0). Let a = 2 - 2. Solve y*p = -a*p + 10 for p. 5 Suppose -p + 2*p = -8. Let v = p - -13. Solve -7 = v*c - 27 for c. 4 Let i be (-12)/(1*(-6)/4). Suppose -2*z + i + 0 = 0. Suppose -2*b - 24 = -z*b. Solve -3*o - o = b for o. -3 Let k = 4 - 2. Let v(q) = -3*q - 11. Let o be v(-5). Solve 0 = i + k - o for i. 2 Let f(y) = 4*y + 8. Let g be f(0). Solve 2*z - g = -2 for z. 3 Let f be (2 - 1)/(5/35). Let c = f + -5. Solve 5*r - 13 = c for r. 3 Let m be 9 - (3 - (2 - 1)). Suppose -f = -0*f - m. Suppose -f*o + 2*o + 100 = 0. Solve -o = 6*r - r for r. -4 Let c(l)
{ "pile_set_name": "DM Mathematics" }
(d) -4 (e) 5 e What is the nearest to 0.1 in 2/22689, -2, -1992, 3? 2/22689 What is the closest to 1 in -154, -1245, -5? -5 What is the closest to -2/9 in -132/5, 1205, 0, 2? 0 Which is the nearest to 3/7? (a) 2/7 (b) 6335.7 (c) 4 (d) -0.4 a Which is the closest to 0.1? (a) -17 (b) 5/21 (c) -478 (d) 6 b Which is the nearest to 2? (a) -0.2 (b) 1660 (c) 0.5 (d) -9 c Which is the closest to 1/3? (a) 0 (b) -2/125 (c) 155/8 (d) 2 a What is the nearest to -1 in -5, -69624, -0.2? -0.2 What is the closest to 2 in 311/5, 22/3, 11? 22/3 Which is the closest to 0.1? (a) -16/3 (b) 5 (c) 222 (d) -88 b What is the closest to 7.14 in -5, 2/9, 4/63, 1? 1 Which is the nearest to 0? (a) 2 (b) 3 (c) -25 (d) 33/4 (e) 1 (f) -2/9 f Which is the closest to -0.14? (a) -0.4 (b) -6/13 (c) 6 (d) -6 (e) 1 (f) 5 a What is the nearest to -1.8 in -177/6794, 0.4, 2/9? -177/6794 What is the nearest to 2 in 11, 0.1, -5, -3, 295, -0.1199? 0.1 What is the nearest to -2.2 in -6, -0.05, 4/161? -0.05 Which is the nearest to -0.02? (a) 4 (b) -70 (c) 60/19 (d) -2 d Which is the closest to -5/18? (a) -5 (b) -1/172 (c) -2 (d) -155 b What is the nearest to 1/2 in 3567.3, -2/9, 1/5, 4? 1/5 Which is the closest to 0? (a) -18568 (b) -5 (c) 44 (d) 4 (e) -5/2 e What is the closest to -1/4 in -226, -0.01, 2, -26, 2/3? -0.01 Which is the nearest to -3/7? (a) 20 (b) -871 (c) 1207 a What is the nearest to -18 in 0.03, 25, -82/13? -82/13 What is the nearest to -2/9 in -2/109, 2/13, -113? -2/109 Which is the closest to 12/83? (a) 1749 (b) 0.1 (c) 1/6 (d) -2/9 (e) 4 (f) -0.4 c Which is the closest to 0? (a) 5.5 (b) 1/3 (c) -305502 b Which is the nearest to -23/3? (a) 36 (b) -0.9 (c) -1285 b Which is the closest to 1? (a) 1 (b) -1 (c) 0.6 (d) -1528 a What is the nearest to 0.1 in 105, 425, -1/8, -3? -1/8 What is the closest to 0.1 in -1413223, -0.4, -2/15, 5? -2/15 What is the nearest to -4.53 in -2, -2/11, -0.9, 0.4, -5, 11? -5 What is the nearest to -1 in 500, 1460, 1, -0.4? -0.4 Which is the closest to 2/5? (a) -0.154161 (b) 1/46 (c) -0.1 (d) -2/7 b Which is the closest to -674/13? (a) 60 (b) 2/19 (c) -5 c What is the nearest to -1/2 in 1/16, -398.5, 0.2, -4, -1/3? -1/3 What is the closest to 1/4 in -1, -1/8, 1/5, -0.0376? 1/5 Which is the nearest to -0.31? (a) -360 (b) 0.3 (c) -3 (d) 2/33 d Which is the closest to 5? (a) 0.02 (b) -4.31 (c) -0.01 (d) -26 (e) 5/14 e What is the nearest to -87 in 8, 51, 2/19, 3? 2/19 What is the nearest to -3/14 in 141, -4, -0.4? -0.4 What is the closest to 0 in 0, -0.04, 0.18, 21/53? 0 What is the nearest to -1/2 in -234, -5/193, 1/11? -5/193 Which is the closest to 3/26? (a) -2/31 (b) -2/5 (c) 1/1706 (d) 23 c Which is the closest to 3/35? (a) -2/3 (b) 1 (c) 2/5 (d) 566 (e) -2 (f) -2/9 f What is the closest to 1/2 in -0.2, -16, 1, -10/7, 5, 10? 1 Which is the closest to -2/50555? (a) 0.08 (b) -8/25 (c) 0.3 (d) -4/5 (e) -2/7 a Which is the nearest to -7.3? (a) -1 (b) 4/3 (c) 478 a Which is the nearest to 0? (a) 2/9 (b) 4 (c) 33 (d) 5 (e) 1631 a Which is the closest to -5/8? (a) 2/3 (b) 29 (c) -0.4 (d) -8 (e) -3.52 c What is the nearest to 1 in 4, -4889, 0.7? 0.7 What is the nearest to 20 in -2, 13, 185.3, -0.3? 13 What is the nearest to -2566 in -5, -2, 0.1, -10? -10 Which is the closest to 0.088? (a) 0.2 (b) -918 (c) 7/2 (d) 1/8 d What is the closest to -0.4 in 6, -0.059, 4004? -0.059 Which is the closest to 1? (a) -1 (b) 4 (c) 2 (d) 1.73005 (e) 9 d What is the nearest to 1 in -9/5, -2/13, -2/7, 12, -30? -2/13 What is the nearest to 0.026 in -0.21, 5, 0.064? 0.064 Which is the closest to -123? (a) 14 (b) -3/10 (c) -2 (d) 10 (e) 0.6 (f) -1/2 c Which is the closest to 5/2? (a) -0.00886 (b) 5 (c) -1/5 (d) -14 b Which is the closest to -16/3? (a) 60.2 (b) 0.05 (c) 0.02 (d) -2/5 (e) 2/7 d Which is the closest to 771? (a) -4 (b) -2/13 (c) 0.815 (d) -5 c What is the nearest to 27 in -1/8, 3/8, 5, 1/5, 9? 9 What is the nearest to 96 in 0.6, -1/3, 0, -2, 187? 187 Which is the closest to -0.02? (a) 0 (b) -115/7 (c) 0.3 (d) -4 (e) 12/5 a What is the closest to 126288.8 in 3/7, -1/3, -3? 3/7 Which is the closest to -2/41? (a) -10 (b) 1 (c) -4/7 (d) 63914 c What is the nearest to -4910 in -6, -4/5, 93? -6 What is the closest to 77.838 in -43, 0.5, -1? 0.5 What is the closest to 0.85 in 2, -273, -16? 2 Which is the nearest to -77/8? (a) 15 (b) 0.052 (c) -3 (d) 0.5 (e) -2 c Which is the nearest to 3/5? (a) -1 (b) -8/21 (c) 3 (d) -106.8 b Which is the nearest to -1773? (a) -20/13 (b) -1/7 (c) -5 c What is the closest to 1 in -0.1, 6, -2064, 41, -1/3? -0.1 What is the closest to -1.3 in -1, 278885/3, 0.3? -1 What is the closest to 0 in 115, 8, 5, 3/5, -3, -535? 3/5 What is the nearest to 2 in 0.6, 1/1849, 3, 140? 3 What is the nearest to 0.2 in -4/3, 2/4943, 1/2, -2/7, 59? 2/4943 What is the closest to -21 in -2/11, -2.216, 0.4? -2.216 What is the nearest to -263 in 1675, -0.1, -0.4? -0.4 Which is the closest to 0.8? (a) 2055 (b) 0.7 (c) 1/3 b What is the nearest to 0.11 in 4, -24, -1/4, -0.059? -0.059 Which is the closest to 117? (a) -1 (b) 2 (c) -2 (d) 7/9 (e) 15/82 (f) 0.3 b What is the nearest to -20 in 2/19, 1/3, -6/89, -5, -2? -5 What is the closest to 38 in 5, 3, 4/7, -17? 5 Which is the nearest to 1? (a) 4 (b) -31 (c) -320 (d) 6 a Which is the closest to -15.8? (a) 1.5 (b) 2/5 (c) -1 (d) -1/2 c What is the nearest to 0.4 in 0.3, 0.2, -0.1, -6, 67/45, 3/2? 0.3 Which is the nearest to 0? (a) -13 (b) 85 (c) 5 (d) 289 (e) 0.2 (f) 0.4 e Which is the nearest to 1? (a) 49/25 (b) 34 (c) -11/7 a What is the closest to 3 in -3/23, -135/4, -0.09, 0.1, 0.5, 97? 0.5 What is the closest to 1/1060 in -1, -183, 0.3, -0.03? -0.03 What is the nearest to -23/3 in -0.3, -3, -0.2, -24, -1/1175? -3 Which is the closest to 1/2? (a) 1.24 (b) -38/9 (c) -0.7 (d) 2 (e) -7 a Which is the nearest to 493? (a) 5 (b) -0.3 (c) 532 c What is the nearest to 6/11 in -105, -62, -141? -62 What is the closest to -1.97 in 0.5, 12, 5, 133? 0.5 What is the closest to -170 in -6/7, -40324, 3? -6/7 What is the nearest to -1 in 1, 6, -1/2, -0.04? -1/2 What is the nearest to -66 in -2, 50, -0.13, -5/7, 0.1? -2 What is the closest to -1 in 0, -4/9, 0.2, 2, -3, 132? -4/9 What is the closest to -9/11 in -5, 0.3, -1182/17, -3? 0.3 Which is the closest to -5? (a) 78 (b) -6 (c) 0.2 (d) 5 (e) -2/9 b What is the closest to -0.1 in -4, -2, 1, 2/5, 630771, 0.2? 0.2 What is the nearest to 12 in 2, 1087, 0.32, -1? 2 Which is the closest to 1371? (a) 3/7 (b) 0.39 (c) -4/87 a What is the nearest to -1 in -0.1, 0.5, -19918? -0.1 What is the closest to -1.9 in 0.3, -1/3, 50, -3? -3 Which is the nearest to -1197? (a) 9/7 (b) 2 (c) 207 a What is the nearest to -67 in 5, -0.12, 21/11, 1/3, -16? -16 What is the closest to 3 in -0.2, -3742, 0.2, 1/47, 1? 1 What is the nearest to -1 in 1.185, 1, -15.65, -5? 1 What is the closest to 83/5 in 0.0317, -2/17, 0, -5? 0.0317 Which is the closest to 1? (a) -0.14 (b) -1 (c) 51 (d) -19/6 a Which is the nearest to 0.27? (a) 10 (b) 0.062 (c) -49 b What is the nearest to -22/697 in 5, 15, 0.4, 1/6, -1/6? -1/6 What is the nearest to -198 in 4, -0.1, -2/9, -3/5, 996? -3/5 What is the nearest to -7 in 4, -0.58, -0.23, 8? -0.58 Which is the nearest to -2/9? (a) 1/2 (b) -5 (c) -0.34 (d) 2/5 (e) -1/55 (f) -0.02 c What is the nearest to -0.46 in 6, -5, 2/7, 8, -59? 2/7 What is the nearest to 14 in -351, 0, -0.61, -4/3? 0 What is the closest to -603/4 in -2/13, -1, 3.4, 0? -1 What is the closest to 77 in 4, -2, 2/6291, 1, -0.3? 4 What is the closest to 0.76 in -9.8, 3.38, -3? 3.38 What is the closest to 1.1 in 0.1, 13, -1/8, -3608? 0.1 What is the nearest to 4 in 1.7, 1/2, -516, 4, -6? 4 What is the nearest to 225 in 1/10, -2/3, 1626, -2/7, 0.5? 0.5 What is the nearest to 1 in -0.01, -2, 16681, -20? -0.01 Which is the nearest to -17700? (a) 2 (b) 5 (c) -60 c What is the nearest to 2/191 in -0.5, -0.3, -0.61, -8? -0.3 Which is the closest to 2/47? (a) -143 (b) -2/13 (c) 0.04 c Which is the closest to 0? (a) 5 (b) -0.79 (c) -491201 b What is the nearest to 2 in 1334, -0.15, 383? -0.15 W
{ "pile_set_name": "DM Mathematics" }
*q - 4 Collect the terms in 55*c**3 - 51*c - 77*c**3 + 51*c. -22*c**3 Collect the terms in 7*s**2 - 13*s**2 + 9*s**2 + s**2. 4*s**2 Collect the terms in -206 + 417 - 211 - 29*y**3. -29*y**3 Collect the terms in 2243*u + 1727*u + 3168*u. 7138*u Collect the terms in 3*v**2 - 16*v**2 - 9*v**2. -22*v**2 Collect the terms in -968*d + 487*d + 484*d. 3*d Collect the terms in -7*h - 18*h - 12*h - h. -38*h Collect the terms in 23*f - 13*f - 13*f. -3*f Collect the terms in 446*u + 1 - 1. 446*u Collect the terms in -b - 3*b + 7*b. 3*b Collect the terms in 3*d**2 - 18711*d + 18711*d. 3*d**2 Collect the terms in -9*l - 4*l**2 + 2*l + 7*l. -4*l**2 Collect the terms in -50*a - a + 21*a + 9*a. -21*a Collect the terms in j - 9*j + 7*j. -j Collect the terms in 101*a + 104*a + 18*a**3 - 205*a. 18*a**3 Collect the terms in -12*m**2 - 193 + 99 + 94. -12*m**2 Collect the terms in -2044*d**3 + 4095*d**3 - 2053*d**3. -2*d**3 Collect the terms in -51849769*s - 2*s**3 + 51849769*s. -2*s**3 Collect the terms in 13*s + 3*s**2 - 12*s - s. 3*s**2 Collect the terms in -5*p**3 - 3*p + 0*p - 2*p**3. -7*p**3 - 3*p Collect the terms in -25*s - 16*s + 9*s. -32*s Collect the terms in -7 + 7 + t - 4*t**2. -4*t**2 + t Collect the terms in -22278 + 22278 + 3*g**2. 3*g**2 Collect the terms in -1952*r**2 + 650*r**2 + 653*r**2 + 650*r**2. r**2 Collect the terms in -2*k**2 + k**2 + 3*k**2 + 9*k**2 - 4*k**2. 7*k**2 Collect the terms in 1 - 10 + 0 + 21*j + 0. 21*j - 9 Collect the terms in 2*u + 2*u + 2*u - 9*u. -3*u Collect the terms in 40*w - 2 - 13*w - 13*w - 17*w. -3*w - 2 Collect the terms in -2*s**3 + 35*s**2 + 12*s**3 - 35*s**2. 10*s**3 Collect the terms in 2 - 28*j - 13*j**2 + 17*j + 11*j. -13*j**2 + 2 Collect the terms in -10*t - 8*t + 18*t - 2*t**3. -2*t**3 Collect the terms in -358*g**2 + 1337*g - 1337*g. -358*g**2 Collect the terms in -193*j**2 - 9*j**3 - 187*j**2 - 189*j**2 + 569*j**2. -9*j**3 Collect the terms in 3*i**3 + 3*i**3 - 6*i**3 + 3*i**3 - 5*i**3. -2*i**3 Collect the terms in 0*c**3 - c**3 - 5*c**3 + 4*c**3. -2*c**3 Collect the terms in 6*c**3 + 51*c**2 - 51*c**2 - 15*c**3. -9*c**3 Collect the terms in 50 + 234 + 2*t**2 - 61. 2*t**2 + 223 Collect the terms in 17*x - 11*x + 22*x. 28*x Collect the terms in 40410*v - 6*v**2 - 40410*v. -6*v**2 Collect the terms in 144*d**2 - 13*d**3 - 144*d**2. -13*d**3 Collect the terms in 51 - 55*n**2 - 51 + 49*n**2. -6*n**2 Collect the terms in 0*x**3 + 13*x**3 - 2*x**3 - 2*x**3. 9*x**3 Collect the terms in 1 - 1 + 38*t**2 - 30*t**2. 8*t**2 Collect the terms in -52*z + z**2 + 52*z. z**2 Collect the terms in v + v - 1508 + 1508. 2*v Collect the terms in 114813 - d - 114813. -d Collect the terms in 101*x**2 + 105*x**2 - 17*x**3 - 206*x**2. -17*x**3 Collect the terms in -14*p**3 - 15*p**3 + 21*p**3. -8*p**3 Collect the terms in -3*n**2 + 9*n**2 + 0*n**2 - n**2. 5*n**2 Collect the terms in -8 - 6*b**2 + 18 - 10 + 2*b**3. 2*b**3 - 6*b**2 Collect the terms in 4*q + 12*q**2 - q**2 - 5*q + q. 11*q**2 Collect the terms in -7*k**3 + 2 + 4*k**3 - 21*k**3. -24*k**3 + 2 Collect the terms in -4*l**2 + 5*l**2 + 16 - 1. l**2 + 15 Collect the terms in 4*a**3 + 3*a**3 - 3*a**3 + 0*a**3. 4*a**3 Collect the terms in 113*p**2 - 41*p**2 - 77*p**2. -5*p**2 Collect the terms in -3*r**3 - 8*r**3 + 8*r**3. -3*r**3 Collect the terms in 1 - 169*y + 169*y - 103*y**2. -103*y**2 + 1 Collect the terms in -21 - r**2 + 89 - 151 + 83. -r**2 Collect the terms in 0*g**3 + 4*g**3 + 2*g**3 + 57*g**3. 63*g**3 Collect the terms in -w - 46*w + 8*w. -39*w Collect the terms in -3 + 6*i**3 + 2 - 10 - 16. 6*i**3 - 27 Collect the terms in -2*i + 92 - 92. -2*i Collect the terms in -6*v + 31 - 31. -6*v Collect the terms in -722*a - 721*a + 2*a**3 + 1443*a. 2*a**3 Collect the terms in -11*w**3 - 6*w**3 + 15*w**3 - w**2 + w**2. -2*w**3 Collect the terms in -7169 + 19*j**3 + 7169. 19*j**3 Collect the terms in 2 + 6*t + 4*t - 13*t - 2. -3*t Collect the terms in -43*d - 93*d - 47*d + 182*d. -d Collect the terms in 44265 + 2*u**2 - 44265. 2*u**2 Collect the terms in 4*p**3 + 3*p**3 - 25*p**2 + 23*p**2 - 9*p**3. -2*p**3 - 2*p**2 Collect the terms in 170 + 16*s - 170 + 15*s. 31*s Collect the terms in 3*l**2 + 2*l - 606 - 2*l. 3*l**2 - 606 Collect the terms in -2 + 5 + 10*p**3 + 11*p**3. 21*p**3 + 3 Collect the terms in -96*r**2 + 166*r**2 - 95*r**2. -25*r**2 Collect the terms in -x - 24*x - 6*x. -31*x Collect the terms in -22*k + 19*k - 3*k**3 + 3*k. -3*k**3 Collect the terms in 840 - 840 + 7*y. 7*y Collect the terms in 295 - 140 - 155 + b**2. b**2 Collect the terms in -359913*t**2 - 10*t**3 + 359913*t**2. -10*t**3 Collect the terms in 52 - 16*x + 51 - 103. -16*x Collect the terms in 4*p + 199 - 199 - 2*p. 2*p Collect the terms in -23*u**2 + 36*u**2 - 9*u**2. 4*u**2 Collect the terms in 5 - 2*y + y + y - y. -y + 5 Collect the terms in 286*o**2 - 2*o - 2*o + 4*o. 286*o**2 Collect the terms in 6*t + 5*t**2 - 3*t**2 - 6*t. 2*t**2 Collect the terms in -28*k**3 - 169*k**2 + 169*k**2. -28*k**3 Collect the terms in -29 + 2*s**2 - 21 + 9. 2*s**2 - 41 Collect the terms in 2*h**2 - 6777 + 6777. 2*h**2 Collect the terms in 220*b + b**3 - b**3 + 2*b**3. 2*b**3 + 220*b Collect the terms in 86*c**3 + 112*c**3 - 200*c**3. -2*c**3 Collect the terms in -2243 + 2243 - 2*r**2. -2*r**2 Collect the terms in -60*v**3 + 30*v**3 + 24*v**3 + 25*v**3. 19*v**3 Collect the terms in -10*r + 5689 - 5689. -10*r Collect the terms in 54*w - 223*w + 45*w + 57*w + 52*w. -15*w Collect the terms in -5*x**2 + 34*x**3 - 39*x**3 + 3*x**2. -5*x**3 - 2*x**2 Collect the terms in -198*b + 198*b + 35*b**3 - 67*b**3 + 36*b**3. 4*b**3 Collect the terms in -6*i + 400248 - 400248. -6*i Collect the terms in 20*o - 20*o - 11*o**2 + 25*o**2. 14*o**2 Collect the terms in 1 - 5 - 2*v + 3. -2*v - 1 Collect the terms in -6*c**2 + 2*c**2 - c**2 + 2*c**2. -3*c**2 Collect the terms in -3 + 3 + 9441*p**2 - 9434*p**2. 7*p**2 Collect the terms in -3*i**2 + i**2 + 0*i**2 + 16 + 22. -2*i**2 + 38 Collect the terms in -33*j**2 + 12*j**3 + 33*j**2. 12*j**3 Collect the terms in -10*k + 6*k - 7*k. -11*k Collect the terms in 42*r**2 - 87*r**2 + 33*r**2. -12*r**2 Collect the terms in -4*j**3 - 5 + 15 - 10. -4*j**3 Collect the terms in 168 - 10*r - 168. -10*r Collect the terms in -z - 2*z - 6 + 6 + 0. -3*z Collect the terms in 9*i - i - 8*i + 4*i. 4*i Collect the terms in -2*d**3 + 6*d**3 + 2*d**3. 6*d**3 Collect the terms in 1847*h**2 + 16*h**3 - 1847*h**2. 16*h**3 Collect the terms in 8*r**2 - 27*r**2 - 4*r**2 + 6*r**2. -17*r**2 Collect the terms in 0*h + 6*h - 3*h**2 - 6*h. -3*h**2 Collect the terms in -24*z - 24*z + 46*z. -2*z Collect the terms in 29*i + 3*i - 11*i + 2*i - 10*i. 13*i Collect the terms in 107*t**3 + 123*t**3 - 373*t**3 + 127*t**3. -16*t**3 Collect the terms in -y**2 - 2*y**2 + 4*y**2 - 5*y. y**2 - 5*y Collect the terms in 1562*u**3 - 3131*u**3 + 1568*u**3. -u**3 Collect the terms in 34*k**2 + 2*k + 476*k**2 + 25*k**2 + 20*k**2. 555*k**2 + 2*k Collect the terms in -3 + 2 - z**2 + 4 - 3. -z**2 Collect the terms in -5*x - 184*x**2 + 5*x. -184*x**2 Collect the terms in 2*h + 19*h**3 - 2*h + 11*h**3 - 33*h**3. -3*h**3 Collect the terms in 17*f**3 - 6*f**3 + 11*f**3. 22*f**3 Collect the terms in 6*j**3 + 4*j**3 - 18*j**3. -8*j**3 Collect the terms in 221 + 2*o - 111 - 110. 2*o Collect the terms in -7825 + 7825 - 3*s. -3*s Collect the terms in -979*k - 58*k**2 + 979*k. -58*k**2 Collect the terms in 2 + 57*c - 2. 57*c Collect the terms in 17*s**3 + 34*s**3 - 19*s**3. 32*s**3 Collect the terms in 767*m - 380*m - 387*m - 5*m**2. -5*m**2 Collect the terms in -78*i**2 + 27*i**2 + 28*i**2 + 26*i**2. 3*i**2 Collect the terms in 7*z**2 - 29*z**2 + 14*z**2 + 9*z**2. z**2 Collect the terms in 4 + 9*p**2 + 2 - 4 - 50*p**2. -41*p**2 + 2 Collect the terms in 4*n**2 - 1 + 4*n + 1 - 6*n**2. -2*n**2 + 4*n Collect the terms in 3 + 0*w - w - 3. -w Collect the terms in -47*d**2 - 34*d**2 - 124*d**2 - 46*d**2. -251*d**2 Collect the terms in 38*q**3 + 5*q**3 + 2*q**3. 45*q**3 Collect the terms in -6857*y + 13710*y - 6853*y - 3*y**2. -3*y**2 Collect the terms in -1 - 11 + 18 - 12*y - 6. -12*y Collect the terms in 15*a**2 + 22 - 54*a**2 - 22. -39*a**2 Collect the terms in -350*u**2 + 204*u**2 + 212*u**2. 66*u**2 Collect the terms in 48 - 135 + 3*c + 42 + 45. 3*c Col
{ "pile_set_name": "DM Mathematics" }
t = 1.4 + h. Which is greater: t or 6? 6 Let w = 386/885 - 10/59. Which is smaller: 1 or w? w Let g be (6/9)/(2/(-6)). Let v be (5/(-2))/5*g. Let c = -1 + 1. Is c less than v? True Let c = 6 + -6. Let v be ((-1)/(-45))/(1/(-1378)). Let l = v - -152/5. Is l > c? False Let c = -51 - -52. Which is bigger: 2/25 or c? c Suppose 10*v - 13*v - 3 = 0. Is 2/21 >= v? True Let v = -222 + 2440/11. Is 0.4 <= v? False Suppose 0 = -3*m - 5*l + 27 - 9, 0 = -3*m + 5*l - 12. Suppose 2*s - s = m. Which is greater: -1/3 or s? s Let b be (-5)/(10/6) - -15. Suppose 28 = 5*o - b. Suppose -i = i + o. Which is smaller: -5 or i? -5 Suppose 7 = 3*n - 17. Let a be 2*1/3*336/32. Which is smaller: n or a? a Let s = 547/2 + -16969/62. Is s equal to -1? False Let x = 2/193 - -153/3860. Which is smaller: x or -1? -1 Let w = 93/287 - -180/41. Which is smaller: w or 4? 4 Let k = 15.81 - -0.19. Let i = k - 16. Which is bigger: i or -4? i Suppose 2*d + 22 = 2*j, 0 = -5*j + 3*d - 5*d + 34. Let c = j - 6. Is 1/2 at least c? False Let p = -0.1 - -0.2. Let m = -2 - -1.96. Which is greater: p or m? p Let d be (-85)/25 - 2/(-5). Let s = 2 + d. Which is smaller: 1/2 or s? s Suppose -5*c + q - 4 = 0, -4*c - 4*q = -5*c + 3. Let i = 11 + -8. Let y be 12/8 + i*c. Is y at least as big as -1? False Let s be 13/(-91) - 2/(-210). Which is bigger: s or -1? s Let i be (-5)/(-2)*(5 - 3). Let o = i - 6. Is o at least 1/4? False Let g be (-32)/(-14) + 2/(-7). Suppose -2*d + 4*d = 4. Is g <= d? True Let y be 2/3*(-216)/48. Which is bigger: y or -2? -2 Let t(p) = -p**3 + 8*p**2 - p + 6. Let b be t(8). Let w = 6737/4 + -1638. Let f = w - 47. Which is smaller: f or b? b Suppose 2*m - 3 = -7. Is -7/3 at most m? True Let v = 9 - 8. Is -2/31 smaller than v? True Suppose 12 = -3*l, -4*l - 8 = 4*j + l. Suppose -15 + 1 = 5*z + j*n, -2*z - 10 = -n. Let f = -20 - -16. Is f less than z? False Let b = 4 + -6. Let k be 1/(b*3/(-18)). Suppose -k*h + 12 = 2*h - 3*c, 4*h - c = 4. Is -1 less than h? True Let k = 48351/79 + -612. Which is smaller: 0 or k? 0 Let b be -4*(-1)/(1 - 0). Let k be -1 - 0 - 1*-2. Suppose -u = -h - k, -2*h + 7*u = 2*u - b. Do h and -3 have different values? False Let b = 444 + -3124/7. Which is smaller: b or -3? -3 Let z = 2 - 1. Suppose 2*m + 4*d - 4 = 0, -4*m + 0*m + 3*d - 3 = 0. Is z > m? True Let u be 3 + -2*(-23)/(-18). Suppose 0 = 5*r + 4*w - 7, 2*r + r = 3*w - 12. Which is greater: u or r? u Suppose 11*r = 6*r. Let p = -0.14 - -0.08. Which is bigger: r or p? r Suppose -202 = -3*h - l, 3*h - 6*l + 4*l - 217 = 0. Suppose -h = -5*r + m, -2*m = -5*r - 0*m + 73. Which is smaller: r or 14? r Suppose 5*q + 0*q - 3*m - 37 = 0, 2*q + 2*m - 2 = 0. Suppose 7*l - q*l + 4 = 0. Which is smaller: -2/3 or l? l Let i be -8 + 5 - 18/(-2). Suppose 0 = -d + 3*d + i, 0 = 2*v + 5*d + 1. Is 7 at most v? True Let b = -6 + 5. Let p = b - -4. Which is bigger: p or 0? p Let v = 1.3 - 1.2. Do -7 and v have different values? True Let r be (-10)/(-4)*(-40)/(-50). Is r > 1? True Let y = 87 + -88. Which is smaller: y or 2/151? y Let b(h) = -4*h**3 - 8 + 7*h + 7*h**3 + 9*h**2 - 2*h**3. Let x be b(-8). Which is smaller: 2/9 or x? x Let j = 0.39 + -0.29. Which is smaller: -6 or j? -6 Let t be (2 - 1)*((-64)/12 + 5). Let n = 13 + -9. Are t and n nonequal? True Let i = -3 + 3. Suppose 7*q - 2*q = i. Is q at least as big as -1/2? True Let n be 19/22 - (-3 + 3). Let k = 4/11 - n. Let q = 6 - 6. Is k >= q? False Let l be (0/(-1))/((-2)/(-1)). Let o be 8/(-38)*(-1)/(-2). Which is smaller: l or o? o Let g = 649798/27115 - -164/2805. Let h = g - -38/29. Let m = h - 842/33. Which is smaller: m or 0? m Let f be -1*1 + (-3 - -4). Suppose 3*i = 4*r + 28, f = -r + 6*r - 5*i + 30. Let y be (4/r)/(4 - 1). Which is bigger: y or -1? y Let j be ((-7)/(-42))/(1/2). Which is greater: j or 1? 1 Let x = -4.34 + 0.34. Let y = 0.02 + -4.02. Let o = x - y. Is o bigger than -1/2? True Let u(i) = -i. Let k be u(-7). Is 7 greater than k? False Let i = 29/148 + 2/37. Which is smaller: i or 0? 0 Let d be (-10)/(2/8*4) + 2. Which is greater: -3 or d? -3 Suppose -2*l = 2*w - 0*l + 2, 0 = 5*w - 5*l + 5. Which is smaller: w or -5/8? w Let o = 6 + -8. Let v = o + -1. Is v smaller than 0? True Let h(y) = -11*y**2 - 4*y. Let w be h(4). Let o be 88/w + 2/6. Which is smaller: o or 0? o Let q = -6 + -1. Let x = -7 - q. Is x not equal to -9? True Suppose 0 = 2*g - 0*g + 5*y + 39, 0 = 5*g - y + 57. Is -13 < g? True Suppose 2*m - 29 = -3*g - 2*g, -4*m = -4*g + 12. Let u = 51 - 50. Which is smaller: g or u? u Let x be (-6)/(-10) + (-30)/50. Let g(m) = m**2 - 2*m + 1. Let h be g(1). Are x and h nonequal? False Suppose 0 = -2*u + 4, -4*u = v - 4 - 3. Which is smaller: -4/9 or v? v Suppose -4*a = 13 + 11. Let t be (a/4)/(9/(-12)). Let k be (3/((-3)/2))/t. Which is smaller: 2/5 or k? k Let q be 1*(1*-2 + 3). Let b be (-3)/(((-9)/(-2))/(-3)). Let z be (-4)/(-7)*b - q. Which is smaller: -1 or z? -1 Suppose -1 = c - 0. Let b be 6/(-9)*6*-1. Let x = b - 5. Is x greater than c? False Let x = -3.1 - -3. Are -13 and x equal? False Let s be 49/(-1) - (5 + -9). Which is smaller: s or -44? s Let m(u) = u - 5. Let n = 21 + -15. Let y be m(n). Let d = 1 + y. Is d < 1? False Let h be (3/(-1))/(1161/(-6)). Which is smaller: 0 or h? 0 Let s be (28/(-24))/(-2*(-6)/8). Which is smaller: -1 or s? -1 Let y = -1 + 3. Is 3 greater than or equal to y? True Let r(w) = -w - 2. Let n be r(-3). Suppose -5*v + 12 = -13. Suppose -v*h + 0*h = 0. Is h at least n? False Let n = -2.6 + 3.7. Let p = 0.1 - n. Let a = -0.9 - p. Is a less than -0.2? False Suppose -1 - 15 = -4*k. Suppose -c = n + 12, -k*c + 2*c = 5*n + 45. Is -7 greater than or equal to n? True Let o = -23 + 12. Let w = -6 - 3. Which is smaller: w or o? o Suppose 2*v - v - 61 = -m, -2*m = -v - 116. Which is smaller: 58 or m? 58 Let a be (-279)/(-21) - 4/14. Which is bigger: a or 11? a Let c = 4 + 0. Suppose -3*t = c*z - 43, -4 = 4*z + 2*t - 42. Suppose -3*q - 1 + z = 0. Which is smaller: 3/5 or q? 3/5 Let r be ((-8)/(-132))/((-2)/(-30)). Which is smaller: 1 or r? r Let p = 14.04 - 14. Let v = -9 + 8.86. Let k = p + v. Which is greater: k or 2/5? 2/5 Let g(q) = -q**2 + 11*q + 46. Let h be g(14). Is h at least -4? True Suppose -3*j + 7 - 28 = 0. Let u = j - -4. Let r = -4 - u. Which is bigger: 1 or r? 1 Suppose n + 2*b = 3*n + 62, -2*b = -4*n - 116. Which is bigger: -26 or n? -26 Suppose 5*p - 3*o = 11, 1 - 7 = -2*o. Let x = p - 1. Suppose 6*q - 3*q + x = 0. Which is smaller: 2/9 or q? q Let t = 46 + -45. Which is bigger: 3 or t? 3 Let x = 5 - 7. Let p be 2/(-24)*-2 + -1. Is p smaller than x? False Let x = -0.01 + 7.01. Let c = 16 - x. Let z = 12 - c. Which is bigger: -1 or z? z Let a be -17 + (12/(-4))/(-3). Let t = a + 21. Is t greater than 5? False Let r be (-5 + 1)*(-2)/2. Let z be r/18 + 8/(-36). Which is bigger: 3 or z? 3 Let j be ((-18)/(-948))/(1/4). Which is bigger: j or -1? j Suppose -1 - 1 = -2*y. Let w = 1.3 + -2.5. Let u = 1 + w. Which is bigger: u or y? y Suppose -3*i + 72 = -i. Let m be (i/21)/((-6)/(-21)). Which is bigger: 5 or m? m Let a = 0.087 + -0.587. Which is smaller: 0.2 or a? a Let i = -10 + 12. Which is smaller: 7/8 or i? 7/8 Let h = -3 + -51. Is h at most -2/7? True Let v be 4/((-352)/166) - 0. Let m = 18/11 + v. Which is smaller: -1 or m? -1 Let c = -62 - -60. Which is smaller: 3 or c? c Let t(j) = j**3 - 6*j**2 - 6*j - 3. Let v be t(7). Let k = 4 - v. Let i be (-12)/18 - (-1)/3. Is k greater than i? True Let l be 2/(-5) - (-156)/(-10). Is -117/7 at least as big as l? False Suppose -4*z - z = -20. Suppose z = v - 2*o - 10, -4*o = -v + 24. Which is greater: 5 or v? 5 Let y be 0 + 2 + (-35)/15. Is 0 greater than y? True Let z(q) = 4*q. Let j be z(-1). Let a = 2 + j. Is a less than 0.2? True Let s be (-1)/(-1) + (-10 - -9). Let j(f) = 2*f + 3. Let a be j(-3). Let h be s/(0/a - -1). Is 0 smaller than h? False Let v(c) = c - 2. Let z be v(4). Let g be (-2)/z + 3 + -4. Which is greater: -8/3 or g? g Suppose -5*p = -10*p + 125. Is p bigger than 25? False Let h = -20 - -13. Let j = h + 8. Is 1 bigger than j? False Let d(l) = l**3 + 7*l**2 + 5*l - 1. Let g be d(-6). Suppose -2*u + 1 = g. Let k = 4 + u. Which is bigger: 3 or k? 3 Let o = 29/5 + -314/55. Let m(p) = -p**2 + 9*p + 14. Let u be m(10). Suppose 3*b + 4*j +
{ "pile_set_name": "DM Mathematics" }
284440 divided by 761480 -3 Divide 98048 by 10. 49024/5 Divide -4 by 216425. -4/216425 Calculate -22440 divided by 440. -51 Calculate -36 divided by 295. -36/295 Divide 241080 by -1960. -123 -241170 divided by -120585 2 Calculate -188262 divided by -31377. 6 Divide -54203 by 54203. -1 Divide 1222 by -251. -1222/251 -536447 divided by -4 536447/4 What is 4 divided by -13895? -4/13895 Calculate 356 divided by -51. -356/51 -192608 divided by 48152 -4 Divide 1653872 by 4. 413468 -4 divided by 314939 -4/314939 Divide 5 by 27102. 5/27102 -71779 divided by 16 -71779/16 -48816 divided by -4068 12 Divide 10836 by 256. 2709/64 Calculate 82424 divided by 41212. 2 -1846 divided by 52 -71/2 What is -21942 divided by -46? 477 Calculate -963 divided by -19. 963/19 Calculate -431373 divided by -6. 143791/2 Divide -269601 by 4. -269601/4 Divide 5474 by -17. -322 Calculate 3 divided by 15435. 1/5145 What is -1351 divided by 938? -193/134 Divide 216370 by -1967. -110 -1383910 divided by 6017 -230 What is -1412768 divided by -1696? 833 Divide 94598 by 6757. 14 Divide 35400 by 4. 8850 -919285 divided by 17345 -53 Divide 2596 by -44. -59 What is 257428 divided by 6? 128714/3 Calculate 7 divided by -4370. -7/4370 186 divided by -51 -62/17 Calculate -16 divided by 25. -16/25 Calculate 497 divided by -268. -497/268 Divide -478293 by -3. 159431 Calculate 129960 divided by 24. 5415 What is -2095 divided by -569? 2095/569 Calculate -1 divided by 128518. -1/128518 What is -249200 divided by 89? -2800 418722 divided by -2 -209361 What is -4923 divided by -8? 4923/8 295492 divided by -147746 -2 Divide 10687 by 6. 10687/6 Divide 16191 by -5. -16191/5 -33726 divided by -803 42 321678 divided by 189 1702 Calculate -26438 divided by -5. 26438/5 What is 10640 divided by 8? 1330 Calculate -2 divided by -42783. 2/42783 1006748 divided by 8 251687/2 Calculate -528 divided by -31. 528/31 Calculate -585432 divided by -1692. 346 What is 11 divided by 20656? 11/20656 What is -30412 divided by 20? -7603/5 Divide -107508 by -8959. 12 Divide 109303 by -3. -109303/3 Calculate 252548 divided by 2. 126274 Calculate -99572 divided by 9052. -11 What is 535 divided by -24? -535/24 Calculate 6022 divided by 4. 3011/2 4 divided by 11613 4/11613 What is -2 divided by 14762? -1/7381 26851 divided by 5 26851/5 Calculate -1306370 divided by 845. -1546 Divide -16 by 33309. -16/33309 What is -1333600 divided by 100? -13336 -1 divided by 13107 -1/13107 Divide -4938 by 2469. -2 Divide -311635 by -6. 311635/6 -4 divided by 312408 -1/78102 What is -15436 divided by 17? -908 -67 divided by 12950 -67/12950 What is 95 divided by 916? 95/916 What is -15 divided by 186776? -15/186776 Calculate 766116 divided by -21281. -36 Calculate -275 divided by 275. -1 -6346 divided by 162 -3173/81 4 divided by 19329 4/19329 Calculate -17874 divided by 94. -8937/47 Calculate 17 divided by 127159. 17/127159 Calculate -66332 divided by 46. -1442 568695 divided by -113739 -5 Calculate 0 divided by 19404. 0 -3939 divided by 7 -3939/7 Calculate 91 divided by -707. -13/101 Divide 0 by -11761. 0 What is 1336 divided by 12? 334/3 Calculate -1070 divided by -39. 1070/39 Divide 16323 by -38. -16323/38 Calculate 213780 divided by 84. 2545 What is 325550 divided by 425? 766 What is 2 divided by -624423? -2/624423 -10 divided by -5798 5/2899 Divide 3070 by 1. 3070 563459 divided by -1 -563459 -86445 divided by -86445 1 Divide 2171 by 106. 2171/106 Divide -6584 by -3292. 2 Calculate 320 divided by 570. 32/57 15 divided by 12306 5/4102 What is 42140 divided by 35? 1204 -235931 divided by -3 235931/3 Calculate 1 divided by -99550. -1/99550 Calculate 330471 divided by 36719. 9 What is 2569776 divided by 41448? 62 What is -180790 divided by -1790? 101 Calculate 202180 divided by -5. -40436 Calculate 5739738 divided by 98961. 58 What is 2759 divided by -24? -2759/24 Calculate 2 divided by -2573. -2/2573 Calculate -485790 divided by -1. 485790 What is -24956 divided by 50? -12478/25 Calculate -43277 divided by 13. -3329 103805 divided by -5 -20761 1816 divided by -347 -1816/347 Divide 736575 by 35. 21045 Divide -103986 by 477. -218 Calculate 4158220 divided by 2. 2079110 Divide -7 by 514121. -7/514121 Calculate 14251 divided by 2. 14251/2 -18408 divided by 1534 -12 Divide -42032 by -296. 142 What is -5 divided by 341078? -5/341078 Calculate -62040 divided by -12408. 5 -2189488 divided by 2422 -904 -2 divided by -86295 2/86295 -50 divided by -7338 25/3669 Calculate 16 divided by -2563. -16/2563 -10845 divided by 10845 -1 1 divided by 4951 1/4951 6 divided by -11455 -6/11455 Calculate 114 divided by 1270. 57/635 What is 2147 divided by 6? 2147/6 What is 13 divided by -178557? -13/178557 Divide 18100 by -50. -362 1 divided by -210821 -1/210821 Divide 1871422 by 133673. 14 What is 4 divided by -16571? -4/16571 What is -804 divided by -46? 402/23 Divide 91 by 13764. 91/13764 Divide -109134 by 3. -36378 What is 63969 divided by 8? 63969/8 Divide 3645 by -45. -81 What is -4 divided by -1106? 2/553 What is 277 divided by 29? 277/29 Calculate 1007555 divided by -201511. -5 Calculate 20608 divided by -2944. -7 Divide 0 by 155101. 0 What is 115 divided by 33? 115/33 Calculate 26160 divided by -327. -80 71 divided by 187 71/187 123695 divided by 143 865 What is 2702745 divided by 255? 10599 -320 divided by 4052 -80/1013 Divide 69923 by -7. -9989 679505 divided by -679505 -1 Calculate -22561 divided by -3. 22561/3 Divide -89560 by -2. 44780 -61 divided by 4153 -61/4153 247212 divided by 126 1962 Divide 335597 by -1. -335597 What is 5 divided by -64174? -5/64174 -57096 divided by -78 732 What is -583 divided by -124? 583/124 What is 28188 divided by 9? 3132 Calculate -132048 divided by 2. -66024 2739 divided by -38 -2739/38 Divide 6 by 3233. 6/3233 What is 0 divided by 24176? 0 Divide -13664 by 32. -427 What is 9314 divided by 197? 9314/197 -1294193 divided by 6 -1294193/6 Divide 336150 by 4150. 81 Divide 20777 by -20777. -1 -2 divided by 72914 -1/36457 What is 184002 divided by -2? -92001 What is -8639388 divided by -6? 1439898 Calculate 79296 divided by -19824. -4 What is -5865 divided by 61? -5865/61 Calculate -41182 divided by 118. -349 Divide -10428660 by -4. 2607165 What is -42115 divided by -42115? 1 Calculate 6687 divided by -17. -6687/17 What is -1 divided by 45031? -1/45031 What is 20761 divided by -3? -20761/3 -25976 divided by -1528 17 Divide -45120 by -3760. 12 Calculate 228732 divided by 2. 114366 Calculate 192608 divided by -463. -416 Divide -1015035 by 6. -338345/2 What is -461 divided by 3498? -461/3498 What is 1736640 divided by -1005? -1728 Divide 0 by -640829. 0 Calculate 401 divided by 883. 401/883 Divide -144 by -6201. 16/689 -11028 divided by 1 -11028 Divide 1430 by 10. 143 What is 115650 divided by -23130? -5 Divide -267 by -7105. 267/7105 -83224 divided by -1 83224 15094 divided by -4 -7547/2 Calculate 245544 divided by 4722. 52 -34440 divided by -120 287 Divide -4 by 4855. -4/4855 Divide 159764 by -7262. -22 What is -2305125 divided by 3? -768375 What is -90 divided by 37? -90/37 What is -90884 divided by 4? -22721 What is -104263 divided by 2? -104263/2 Divide 1067 by -2. -1067/2 Calculate -124585 divided by 1. -124585 Divide -70840 by -385. 184 Calculate -42840 divided by 1785. -24 What is 3 divided by 118770? 1/39590 Calculate 219339 divided by 1. 219339 Calculate -4200965 divided by -155. 27103 Divide -27552 by 168. -164 Calculate 36543 divided by 12181. 3 -745606 divided by 7 -745606/7 Divide 5 by -6214. -5/6214 144 divided by 791 144/791 What is -2 divided by 12259? -2/12259 Calculate -134680 divided by 26936. -5 Calculate 1 divided by -11819. -1/11819 109347 divided by 287 381 Divide -164 by -4027. 164/4027 62440 divided by -15610 -4 Divide -181308 by 174. -1042 3 divided by 6335 3/6335 -51224 divided by 4 -12806 Divide -1600 by 628. -400/157 Calculate -423375 divided by -15. 28225 Calculate -273 divided by 76. -273/76 Calculate 5 divided by -1910. -1/382 What is 4 divided by 7702? 2/3851 -3 divided by -16899 1/5633 107028 divided by 108 991 Divide -1339776 by -74432. 18 150400 divided by -640 -235 54776 divided by -13694 -4 Divide -89 by -821. 89/821 What is -1314 divided by 3357? -146/373 Divide -16800 by -105. 160 -9
{ "pile_set_name": "DM Mathematics" }
-1, 0, 1, 24 What is g in 2*g**5 - 16*g**4 + 44*g**3 - 56*g**2 + 34*g - 8 = 0? 1, 4 Factor -5*j**4 - 75*j**3 - 395*j**2 - 825*j - 500. -5*(j + 1)*(j + 4)*(j + 5)**2 Determine h so that 2*h**3/5 - 62*h/5 + 12 = 0. -6, 1, 5 Find c, given that -3*c**3 - 63*c**2 + 135*c - 69 = 0. -23, 1 Factor -3*o**3 - 12*o**2 + 153*o + 162. -3*(o - 6)*(o + 1)*(o + 9) Solve -k**3/4 + 245*k**2/4 - 121*k/2 - 122 = 0. -1, 2, 244 Factor -5*u**4 + 30*u**3 - 65*u**2 + 60*u - 20. -5*(u - 2)**2*(u - 1)**2 Let -3*o**2/4 + 117*o/4 + 483/2 = 0. Calculate o. -7, 46 Factor 2*g**2 - 790*g - 2388. 2*(g - 398)*(g + 3) Factor 3*l**3 - 7*l**2 + 2*l. l*(l - 2)*(3*l - 1) Determine z, given that -4*z**4 - 584*z**3 - 21312*z**2 + 584*z + 21316 = 0. -73, -1, 1 Find o, given that o**3 + 302*o**2 - o - 302 = 0. -302, -1, 1 Let -3*v**2 + 744*v + 3024 = 0. What is v? -4, 252 Factor -5*q**2 + 10*q + 40. -5*(q - 4)*(q + 2) Suppose 80*y**2 + y/3 = 0. Calculate y. -1/240, 0 Factor a**2 - 106*a + 408. (a - 102)*(a - 4) Determine h so that -4*h**5/3 - 4*h**4/3 + 52*h**3/3 + 100*h**2/3 + 16*h = 0. -3, -1, 0, 4 Factor 5*d**3 - 175*d**2 - 365*d - 185. 5*(d - 37)*(d + 1)**2 Let 5*d**5 + 45*d**4 - 15*d**3 - 145*d**2 - 90*d = 0. Calculate d. -9, -1, 0, 2 Factor -3*l**2/2 + 15*l/2 + 21. -3*(l - 7)*(l + 2)/2 Let 2*g**3/5 + 4*g**2/5 - 6*g/5 = 0. What is g? -3, 0, 1 Factor -b**4/2 - 2*b**3 + 5*b**2/2. -b**2*(b - 1)*(b + 5)/2 Factor 3*o**2 - 1164*o + 112908. 3*(o - 194)**2 Factor 121*j**3 + 572*j**2 - 651*j/4 + 45/4. (j + 5)*(22*j - 3)**2/4 Factor -5*q**4 - 60*q**3 - 115*q**2 + 180*q. -5*q*(q - 1)*(q + 4)*(q + 9) Suppose -2*r**3 + 32*r**2 - 82*r + 52 = 0. What is r? 1, 2, 13 Solve -5*x**3 + 495*x**2 - 13395*x + 55225 = 0 for x. 5, 47 Find d such that 9*d**5 - 249*d**4 + 1593*d**3 - 2151*d**2 + 798*d = 0. 0, 2/3, 1, 7, 19 Factor -3*n**4 + 69*n**3 + 147*n**2 + 75*n. -3*n*(n - 25)*(n + 1)**2 Suppose 3*u**3 + 1671*u**2 - 1674*u = 0. Calculate u. -558, 0, 1 Factor -4*p**4 - 30*p**3 - 48*p**2 + 32*p. -2*p*(p + 4)**2*(2*p - 1) Factor 2*s**2/5 + 62*s/5 - 132/5. 2*(s - 2)*(s + 33)/5 Factor -5*t**2 - 710*t - 25205. -5*(t + 71)**2 Factor 2*c**2/3 - 14*c/3 + 20/3. 2*(c - 5)*(c - 2)/3 Suppose -16*b**4 - 358*b**3 - 1780*b**2 + 1398*b + 756 = 0. Calculate b. -14, -9, -3/8, 1 Factor -7*i**4 - 26*i**3 + 43*i**2 - 10*i. -i*(i - 1)*(i + 5)*(7*i - 2) Solve -4*j**4 - 172*j**3 + 5908*j**2 + 12316*j + 6240 = 0. -65, -1, 24 Find l, given that 48*l**4 + 7080*l**3 + 10539*l**2 + 3945*l + 438 = 0. -146, -1, -1/4 Determine w, given that 3*w**4 - 172*w**3 + 3052*w**2 - 15168*w - 11520 = 0. -2/3, 10, 24 Factor -3*d**2/4 + 27*d/4 - 21/2. -3*(d - 7)*(d - 2)/4 Factor -4*w**5/3 - 92*w**4/3 - 652*w**3/3 - 1444*w**2/3 - 1280*w/3 - 400/3. -4*(w + 1)**3*(w + 10)**2/3 Find p such that -p**2 + 182*p - 8281 = 0. 91 Let 3*a**4 - 72*a**3 + 429*a**2 + 72*a - 432 = 0. What is a? -1, 1, 12 Factor 28*d**3 - 120*d**2 + 32*d. 4*d*(d - 4)*(7*d - 2) Let -r**3/5 - 87*r**2/5 + 268*r/5 - 36 = 0. Calculate r. -90, 1, 2 Factor -t**3/4 - 9*t**2/4 - 11*t/4 + 21/4. -(t - 1)*(t + 3)*(t + 7)/4 Determine x, given that 2*x**3/5 - 236*x**2/5 + 6962*x/5 = 0. 0, 59 Determine f so that 3*f**3 + 480*f**2 + 5733*f = 0. -147, -13, 0 Factor -4*x**3 - 452*x**2 + 456*x. -4*x*(x - 1)*(x + 114) Factor -r**3/8 - 53*r**2/8 - 403*r/8 + 8649/8. -(r - 9)*(r + 31)**2/8 Find t such that 4*t**4/7 + 60*t**3/7 = 0. -15, 0 Factor -3*t**3 + 81*t**2 + 171*t + 87. -3*(t - 29)*(t + 1)**2 Solve -3*p**4 + 12*p**3 + 36*p**2 - 192*p + 192 = 0 for p. -4, 2, 4 Determine h so that -2*h**4/3 - 26*h**3/3 - 80*h**2/3 - 24*h = 0. -9, -2, 0 Let -3*r**3 + 189*r**2 - 2526*r + 4320 = 0. What is r? 2, 16, 45 Factor -3*z**2 + 16*z + 35. -(z - 7)*(3*z + 5) Factor -5*b**3 - 140*b**2 + 665*b + 800. -5*(b - 5)*(b + 1)*(b + 32) Solve -2*j**3/15 - 8*j**2/3 + 1224*j/5 = 0. -54, 0, 34 Factor 2*k**4/7 + 22*k**3 - 316*k**2/7. 2*k**2*(k - 2)*(k + 79)/7 Find w such that -2*w**4/3 - 26*w**3/3 + 22*w**2 + 30*w = 0. -15, -1, 0, 3 Factor -4*v**2 + 72*v. -4*v*(v - 18) Factor 2*c**4 - 600*c**3 - 6*c**2 + 1804*c - 1200. 2*(c - 300)*(c - 1)**2*(c + 2) What is y in 26*y**5 + 56*y**4/3 - 56*y**3 + 64*y**2/3 = 0? -2, 0, 8/13, 2/3 Factor -2*c**3/9 + 592*c**2/3 - 394*c + 1772/9. -2*(c - 886)*(c - 1)**2/9 Find r, given that r**2/8 + 47*r + 4418 = 0. -188 Find z such that -172*z**5 - 852*z**4 - 1508*z**3 - 1132*z**2 - 288*z + 16 = 0. -2, -1, 2/43 Let 15*o**4 + 165*o**3 - 12*o**2/5 - 132*o/5 = 0. What is o? -11, -2/5, 0, 2/5 Suppose -f**4/4 + 31*f**3/2 - 207*f**2 - 2079*f/2 - 3267/4 = 0. What is f? -3, -1, 33 Suppose 4*s**4 + 36*s**3 - 4*s**2 - 36*s = 0. What is s? -9, -1, 0, 1 Let -3*b**4 + 21*b**3 - 15*b**2 - 21*b + 18 = 0. Calculate b. -1, 1, 6 Factor -2*k**2/5 - 54*k/5 - 20. -2*(k + 2)*(k + 25)/5 Determine w, given that 3*w**2/7 - 804*w/7 - 807/7 = 0. -1, 269 Determine k so that -k**4 + 225*k**3 - 224*k**2 = 0. 0, 1, 224 Suppose 3564*l**2 - 2388*l + 8 = 0. What is l? 1/297, 2/3 Factor -3*b**2 - 26*b + 9. -(b + 9)*(3*b - 1) Determine c so that 42*c**2/5 - 2042*c + 972/5 = 0. 2/21, 243 Find w such that w**4/4 - 2*w**3 - 3*w**2/4 + 13*w/2 - 4 = 0. -2, 1, 8 Factor -4*z**4 - 36*z**3 - 56*z**2 + 96*z. -4*z*(z - 1)*(z + 4)*(z + 6) Determine z so that 5*z**2/8 - z/4 - 3/8 = 0. -3/5, 1 Factor 2*u**2/13 + 852*u/13 + 90738/13. 2*(u + 213)**2/13 Factor -2*p**4/13 + 24*p**3/13 - 70*p**2/13. -2*p**2*(p - 7)*(p - 5)/13 Find y such that 4*y**5/5 + 44*y**4/5 + 28*y**3/5 - 572*y**2/5 + 224*y/5 + 784/5 = 0. -7, -1, 2 Solve z**5 + 9*z**4 + 29*z**3 + 43*z**2 + 30*z + 8 = 0. -4, -2, -1 Suppose 11697*x**3 + 16668*x**2 + 4953*x - 18 = 0. Calculate x. -1, -3/7, 2/557 Find g such that 4*g**5 + 12*g**4 + 4*g**3 - 12*g**2 - 8*g = 0. -2, -1, 0, 1 Factor 1014*j**2/11 + 49296*j/11 + 599136/11. 6*(13*j + 316)**2/11 Find m, given that -2*m**5 - 272*m**4 - 8968*m**3 + 19316*m**2 + 8970*m - 19044 = 0. -69, -1, 1, 2 Factor -y**2 - 93*y + 94. -(y - 1)*(y + 94) Factor 2*c**3 - 150*c**2 + 2016*c - 7552. 2*(c - 59)*(c - 8)**2 Factor 3*a**5/4 - 9*a**4 + 36*a**3 - 48*a**2. 3*a**2*(a - 4)**3/4 Factor 3*d**2/2 - 15*d + 75/2. 3*(d - 5)**2/2 Suppose -784*z**5 + 7308*z**4 - 8492*z**3 + 1568*z**2 + 528*z - 128 = 0. What is z? -1/4, 2/7, 1, 8 Let -12*a**4/5 - 172*a**3/5 + 124*a**2/5 + 12*a = 0. What is a? -15, -1/3, 0, 1 Solve -3*s**4 + 72*s**3 - 303*s**2 - 918*s = 0 for s. -2, 0, 9, 17 Factor 3*p**5 + 366*p**4 - 3852*p**3 + 14094*p**2 - 21303*p + 10692. 3*(p - 3)**3*(p - 1)*(p + 132) Solve 3*x**3/4 + 12*x**2 + 123*x/4 + 39/2 = 0 for x. -13, -2, -1 Determine g so that 2*g**4/11 - 96*g**3/11 - 514*g**2/11 - 840*g/11 - 424/11 = 0. -2, -1, 53 Factor 5*p**4 - 155*p**3 + 720*p**2 + 8100*p. 5*p*(p - 18)**2*(p + 5) What is h in 5*h**2 + 5*h = 0? -1, 0 Factor -3*i**3 - 3*i**2 + 768*i + 768. -3*(i - 16)*(i + 1)*(i + 16) Suppose 6*p**4/7 - 3560*p**3/7 + 4734*p**2/7 + 1188*p/7 - 2368/7 = 0. What is p? -2/3, 1, 592 Find n such that -36*n**3/5 + 316*n**2 - 1544*n/5 = 0. 0, 1, 386/9 Let 18*i**5/7 + 804*i**4/7 + 8420*i**3/7 - 1800*i**2 + 1242*i/7 + 2116/7 = 0. Calculate i. -23, -1/3, 2/3, 1 Determine q so that -3*q**3/8 - 45*q**2/4 - 675*q/8 = 0. -15, 0 Factor 3*j**2 + 450*j + 16875. 3*(j + 75)**2 Find v such that 25*v**3/2 - 249*v**2/4 - 305*v/4 - 3/2 = 0. -1, -1/50, 6 Let 5*l**5 + 65*l**4 + 150*l**3 - 610*l**2 - 1435*l - 735 = 0. What is l? -7, -1, 3 Let -3*d**3 - 3*d**2 + 24*d + 36 = 0. Calculate d. -2, 3 What is s in 16*s**4/11 - 50*s**3/11 - 180*s**2/11 + 50*s/11 + 164/11 = 0? -2, -1, 1, 41/8 What is f in -21*f**3/2 + 39*f**2 + 348*f + 96 = 0? -4, -2/7, 8 Determine b so that 4*b**4/3 + 8*b**3/3 - 20*b**2 + 16*b/3 + 80/3 = 0. -5, -1, 2 Factor 4*h**2 + 10444*h + 20872. 4*(h + 2)*(h + 2609) Factor 2*u**3/9 - 856*u**2/9 - 3448*u/9 - 384. 2*(u - 432)*(u + 2)**2/9 Solve -u**4 + 33*u**3 + 36*u**2 - 68*u = 0 for u. -2, 0, 1, 34 Find d, given that 2*d**3/11 + 42*d**2/11 + 232*d/11 + 192/11 = 0. -12, -8, -1 Factor -2*x**4/7 + 6072*x**3/7 - 4602572*x**2/7 - 1317624*x - 659246. -2*(x - 1519)**2*(x + 1)**2/7 Factor y**3 - 1943*y**2 + 946720*y - 2822700. (y - 970)**2*(y - 3) Let l**4/7 + 102*l**3/7 + 3105*l**2/7 + 24300*l/7 = 0. What is l? -45, -12, 0 Find k such that -5*k**2 - 4240*k - 898880 = 0. -424 Let -3*h**3/2 - 19*h**2/4 - 3*h/4 = 0. What is h? -3, -1/6, 0 Solve 5*v**5 - 2225*v**4 - 11210*v**3
{ "pile_set_name": "DM Mathematics" }
2 - 2*u**3 - 8*u**2 - 865 + 847 - 18*u. Let i be d(10). Round i to the nearest 100. -800 Let j = 0.177 - 0.092. Let c = j - -7.515. What is c rounded to 0 dps? 8 Let l = 30211461.9423064 - 30211472. Let d = -106.9422354 + l. Let k = d - -117. What is k rounded to 5 dps? 0.00007 Let p = -5074.99999317 - -5075. Round p to 6 dps. 0.000007 Let d = -58.8 + -119.2. Let k = 57926488.0999628 - 57926666.1. Let i = k - d. What is i rounded to six dps? -0.000037 Let q = 562737987239882 + -562737993166406.06999942. Let i = 5926524 + q. Let f = -0.07 - i. Round f to seven dps. -0.0000006 Let p = 5053191.3794947 + -5053192. Let q = p - 264.3811247. Let r = q + 265. Round r to 4 decimal places. -0.0016 Let j = 288 - 93. Let d = j + -244.8. Round d to the nearest ten. -50 Let l = -66.3 - -65. Let h = -54.3 - l. Let r = 53.21 + h. Round r to one dp. 0.2 Let x = -454157236.186 - -976602.186. Let h = x + 453180881.0000401. Let t = -247 + h. What is t rounded to 6 dps? 0.00004 Suppose 3*f + 2*w = 4*f - 788994, 0 = -3*w + 9. What is f rounded to the nearest one million? 1000000 Let q = 944.11 - -4.29. What is q rounded to the nearest one hundred? 900 Let s = 81.911 - 435.95875. Let b = s + 354. Round b to two dps. -0.05 Suppose -4*l - 37 = -3*c, -2*l = 2*l + 16. Suppose 23549741 = c*x - 67030259. Round x to the nearest 1000000. 13000000 Suppose 5 = 2*h + 5. Let z be ((-14)/(-4) + h)*2. Let n(q) = -118950*q**3 - 4*q**2 + 7*q - 3. Let j be n(z). What is j rounded to the nearest one million? -41000000 Let t = -7.49 + 686.49. Let x = t + -679.000001212. Round x to seven decimal places. -0.0000012 Let o = -31.15 - -30. Let m = o - -135.15. Let k = m + -101.4. What is k rounded to the nearest 10? 30 Let b = 14517 - 14517.0000924. What is b rounded to four decimal places? -0.0001 Let g = -7331 - -7330.999948645. Round g to seven decimal places. -0.0000514 Let m(i) be the second derivative of 2375*i**4/6 - i**3/2 - 9*i**2 + 27*i. Let s be m(-6). What is s rounded to the nearest ten thousand? 170000 Let b(n) = 19*n**3 - 9*n**2 - 25*n + 22. Let j be b(13). Let z = j - 16659. What is z rounded to the nearest one thousand? 23000 Let s = 2040.00008168 - 2040. Round s to five dps. 0.00008 Let b = 11.49 + -6.77. Let h = b - 4.71997948. Round h to 6 dps. 0.000021 Let k = 9.23 + -65.13. Let q = -22.5 - k. Let d = -33 + q. Round d to zero dps. 0 Let b = -182 - -109. Let w = 73.00769 + b. What is w rounded to 3 decimal places? 0.008 Let l = -2.8116929476 + 2.8117. Round l to six dps. 0.000007 Let a = -0.88032 + 0.7908. What is a rounded to two decimal places? -0.09 Let j = -1824.99723 - -1825. What is j rounded to 3 dps? 0.003 Let d = 0.5020066 + -2822638.5020066. Let v = 2822642.100006 + d. Let q = -4.1 + v. Round q to five decimal places. 0.00001 Let v be (1 - 4)*120/(-7 - -1). Let m = v + -62. Let f be (-2 - (-1984 + m)) + 4/(-1). Round f to the nearest one hundred. 2000 Let i(j) = j - 5. Let l be i(-13). Let s(n) = 207*n + 136. Let z be s(l). Round z to the nearest one hundred. -3600 Suppose q = -2*m + 27197996, -17116078 = 2*m - 3*q - 44314090. Round m to the nearest 100000. 13600000 Let m = -351311.400002 - -351312. Let y = 10 + -10.6. Let w = m + y. What is w rounded to 5 decimal places? 0 Suppose 180 = -11*k - 18. Let g(m) = -2001*m**2 + 5*m + 14. Let a be g(k). Round a to the nearest 100000. -600000 Let i = 3284.478 + -3284. Round i to two dps. 0.48 Let r = -0.06897935 - 0.01382466. Let j = 0.0828 + r. What is j rounded to six decimal places? -0.000004 Let z = 1.331 + 1.814. Let q = z + -0.345. What is q rounded to the nearest integer? 3 Let k = 31087.7 + -36185. Round k to the nearest 100. -5100 Suppose 78*a + 3754520 = -32*a. What is a rounded to the nearest 1000? -34000 Let a(d) = -372999*d**2 - 5*d. Let z be a(5). Round z to the nearest 100000. -9300000 Let q = 28147.8824 + -28151. What is q rounded to 1 dp? -3.1 Let y = -723 + 722.94832. Let o = -0.02529 - y. Round o to three dps. 0.026 Let p(g) = 9671991*g - 1811. Let n be p(21). What is n rounded to the nearest 1000000? 203000000 Let i = -1.079022208 + 1.079. Round i to 6 decimal places. -0.000022 Suppose 7*w - 28 = 7. Let q(b) = b**2 + b - 20. Let v be q(0). Let t be (-1344002)/8 - w/v. Round t to the nearest ten thousand. -170000 Let a = 4506.4 - 4004. Round a to the nearest 1000. 1000 Let i = -248542 - -247430.11. Let y = i + 1125. Round y to 1 decimal place. 13.1 Let f be ((-260372)/(-21))/(5 - (-236)/(-48)). Suppose -148820 = 4*m + 5*c, 3*m - 7*m = -4*c + f. Round m to the nearest 1000. -37000 Let j = 121 + -121.004201. What is j rounded to 3 decimal places? -0.004 Let r = -1773.0632 + 1774. What is r rounded to the nearest integer? 1 Let t = -13927.046042 + 13927. What is t rounded to two decimal places? -0.05 Let u = -30.6 + 30.5695. Let n = u + 0.02631. What is n rounded to four decimal places? -0.0042 Let k = 96.99 - 98. Let d = -51.99 + k. Let c = d - -41.6. What is c rounded to zero decimal places? -11 Let l be (-16)/2 - (20929888/7 + 8). Round l to the nearest 1000000. -3000000 Let q = 735278.96499931 + -735279. Let d = 13 + -12.965. Let c = q + d. What is c rounded to 7 decimal places? -0.0000007 Let z = -6917 - -4577. Let o = 2340.01599 + z. What is o rounded to four decimal places? 0.016 Let f = 16675 + -16679.2825. Round f to the nearest integer. -4 Let f = 616.7 - 119.7. Let v = -3105 - -2580.9. Let z = v + f. What is z rounded to the nearest integer? -27 Let p = -3026 + 3011.39. Let h = -0.39 + p. Let w = h + 13.87. What is w rounded to the nearest integer? -1 Let w = -287 + 300. Suppose t - 8*l - 176 = -w*l, -5*t + 932 = -l. What is t rounded to the nearest 100? 200 Let u = 2182.00000030856 - 2182. What is u rounded to seven decimal places? 0.0000003 Let q be (-27)/(-12)*(17 + 3). Let g be q/(-10)*599984/(-6). Suppose -5*k - v + 449997 = -0*v, -5*k + g = 4*v. Round k to the nearest one hundred thousand. 100000 Let k = -2934116 - -2934116.1268073. Let s = k - 0.12747. Round s to four decimal places. -0.0007 Let u be -88455 + (6 - (-32)/(-8)). Let p = u + 24653. Round p to the nearest one thousand. -64000 Suppose 0 = 2*b - 4*a + 387058, -b - a - 137922 = 55625. What is b rounded to the nearest one thousand? -194000 Let r = -0.041 - -27.041. Let q = r + -26.973. Let l = q - 0.297. Round l to 1 decimal place. -0.3 Let c = -7911.1 + 8562. Round c to the nearest one hundred. 700 Let z(j) = 107188*j**3 - 3*j + 6 - 3*j**2 + 15 + 7. Let h be z(4). Round h to the nearest 1000000. 7000000 Let w = -117 + 117.07. Let t = 24.73 + w. What is t rounded to 0 dps? 25 Let m(c) = -4897362*c - 25. Let w be m(-10). Let b = -33973595 + w. Round b to the nearest one million. 15000000 Let x = -58566 + 105877. Round x to the nearest one thousand. 47000 Let a = -9482 + 9904.71. Let q = 424 - a. Round q to zero dps. 1 Let m = -259.88 + 335.4. Let w = 3.62 - m. What is w rounded to the nearest ten? -70 Suppose 4*q - 4 - 12 = 0. Suppose -q*p + 22 = 2. Suppose -p*l - 8880000 = l. What is l rounded to the nearest one hundred thousand? -1500000 Let q be (-2)/((-30)/546080787) - 5/(-25). Suppose 3*u + q + 8191114 = 0. Let y = 9034500 - u. Round y to the nearest one million. 24000000 Let b = -47808 - 52792. Round b to the nearest ten thousand. -100000 Let x = -408 + 149. Let a = x + 258.431. What is a rounded to 1 decimal place? -0.6 Suppose -13513722754 - 810535239 - 6821812007 = -330*k. What is k rounded to the nearest 1000000? 64000000 Let o(z) = -2*z**2 + 36*z + 102. Let q be o(-37). Let f = 548 + q. What is f rounded to the nearest one hundred? -3400 Let j = 1.801 - 40.201. Let s = 14.73 - -23.6346. Let o = j + s. What is o rounded to two dps? -0.04 Let p = 46 - 85.57. What is p rounded to the nearest 10? -40 Let h = -4 - 28. Let f = -746905470 - -746905437.9999999. Let i = h - f. What is i rounded to 6 dps? 0 Suppose 2*g + 698 = 5*o + g, o - 2*g - 145 = 0. Let p be o + (-6)/(6/(-3)). Round p to the nearest ten. 140 Let c be -136*(((-8500)/208)/17 + 12/78). What is c rounded to the nearest ten? 310 Suppose 0 = 22*x - 11*x + 187. Let o be -1 - (-2 + -3) - x/(-17). Suppose 4*v + v + 860 = 5*m, -4*m - 488 = o*v. Round v to the nearest 10. -170 Suppose -43*l = -9*l - 15796400. What is l rounded to the nearest 10000? 460000 Let
{ "pile_set_name": "DM Mathematics" }
Suppose o = 8*u - 15. Suppose 4*k = -d + 29, -d + 38 = 5*k + 2*d. Solve -3*z - u = -k for z. -4 Let y(r) = 2*r + 21. Let v(x) = -4*x - 43. Let a(u) = 3*v(u) + 5*y(u). Let o be a(-13). Solve o*t = 3*t for t. 0 Suppose -6*b = -37 - 47. Let q be 230/70 - 4/b. Solve -11 = q*v + 4 for v. -5 Suppose 0 = 4*r - 3*g - 2*g - 16, -5*r + 20 = 4*g. Suppose -3*m + 8 = -r*f, 5*m - 2*m - 3*f - 9 = 0. Let v = 282 - 280. Solve -v*z - 6 = -m*z for z. 3 Suppose 2*x = -6 + 10. Suppose -1 + 5 = -x*d. Let v be (d/6)/((-6)/36). Solve -v*g = -g for g. 0 Suppose 705 = 85*r - 80*r. Solve 10 = r*f - 136*f for f. 2 Let z = -437 - -454. Solve 0 = 16*h - z*h - 1 for h. -1 Suppose -5*a - 25 = -2*q, -3*a - 10 = -a. Let n(s) = 3*s**2 + 3*s + 4. Let g be n(-1). Solve -d - 9 + g = q for d. -5 Let g be ((-120)/18)/((-36)/54). Solve -g*a + 9*a - 2 = 0 for a. -2 Suppose -k = -4*f - 6*k + 117, -f - 2*k = -30. Solve -f*j = -26*j for j. 0 Let r = 460 + -460. Solve -5*t - 120 + 140 = r for t. 4 Let v be 921/6 + 4/(-8). Suppose -3 - v = 5*a - 2*g, 0 = 5*a - 5*g + 165. Let b be (-2)/(-2 - 55/a). Solve -13 = -5*c + b for c. 5 Let n = 276 + -272. Solve -6*g - 4 = -n for g. 0 Let p be (-2 - -3 - 0) + 3*23. Let u = p - 70. Solve t - 3*t - 8 = u for t. -4 Suppose 466*d - 470*d + 20 = 0. Solve 0 = -3*y + 11 - d for y. 2 Suppose 3*w - 7*w + 5*n - 12 = 0, -3*n = w - 14. Suppose 0 = 2*t + g - 26, -6*t + 2*t = 4*g - 56. Let x = t + -9. Solve x*i = 2*i - w for i. -2 Suppose -4*h + 5 - 1 = -g, 3*g - 2*h + 2 = 0. Suppose 3*j + c = -g*j + 1, 5*c - 5 = -3*j. Solve j = q + q - 6 for q. 3 Let r = 21 - 19. Suppose r = 3*l - 22. Solve -l*c + 5 = -3*c for c. 1 Let d be 3/8 + 51/(-136). Suppose m - 70 = -5*j - 2*m, d = m. Solve 3*n = -1 - j for n. -5 Suppose -121 = 27*q - 310. Solve -9*g = -q*g + 4 for g. -2 Let g(m) = -m - 5. Let z be g(9). Let p = -8 - z. Let k be (-152)/(-32) - p/8. Solve 0 = 5*r + 1 + k for r. -1 Let i be (728/35)/(6/15). Let n = i + -50. Solve 5 + 1 = n*z for z. 3 Let k be 5 + 12/16*4. Suppose k*s = 5*s. Solve s = t + t + 10 for t. -5 Suppose 0 = 7*t - 12*t. Suppose 51 = 3*l - l - 3*y, t = 4*l - 4*y - 100. Suppose 3*m + m = l. Solve m = -0*k + 2*k for k. 3 Let c = 5 - 2. Let y be (c/(-6)*0)/2. Let w be (-6)/9 + (-68)/(-12) - 2. Solve -w*z + 2*z + 4 = y for z. 4 Let h(n) = n**3 - n. Let a be h(0). Let c(s) = s**2 - 1. Let f(t) = 4*t**2 + 8*t - 8. Let b(o) = 5*c(o) - f(o). Let z be b(0). Solve -y - z*y - 8 = a for y. -2 Let w = 1041 + -1015. Solve 0 = w*y - 28*y + 4 for y. 2 Suppose 47 + 41 = 11*w. Solve 2 = -7*j + w*j for j. 2 Let c(z) be the third derivative of z**5/60 - z**4/24 - 2*z**3 - 17*z**2. Let a be c(-4). Solve 2 = 2*w - a for w. 5 Let t be (-12)/(-60) + -1 + 4/5. Solve t = 9*i - 4*i - 25 for i. 5 Let r(o) = 17*o + 37. Let y(u) = 8*u + 18. Let l(s) = 4*r(s) - 9*y(s). Let c be l(-4). Solve c*z = 3*z - 2 for z. 2 Let w(i) = 7*i - 61. Let f be w(10). Solve 7*a - f*a - 2 = 0 for a. -1 Let h(a) = a**3 - 4*a**2 - a - 5. Let y be h(5). Suppose -4*n + 36 = -4*p - 0*p, 18 = 2*n + 2*p. Suppose -15 = -n*b + 4*b. Solve -b*l = -6*l + y for l. 5 Suppose -2*t = t - 24. Suppose 3*s - 64 + 232 = 0. Let h = 61 + s. Solve h*u - t = u for u. 2 Let u(y) = 14*y + 2*y**2 + 1 + 5 - 22*y. Let s be u(4). Suppose s*m = 9*m. Solve 4*f + 0 + 12 = m for f. -3 Let m be (-51)/(-9) + -3 + 196/(-294). Let r be (-4)/18 - (-4)/18. Suppose 3*q + 0*q - 5*z = 1, 0 = 2*q + z - 5. Solve r = -m*h + q for h. 1 Suppose 11*j - 7*j = 8. Suppose j*k = -4*b, 3*b + k = 2*b - 1. Solve 4*w + b = -7 for w. -2 Let j be (6 - 9) + 0/(-2). Let r be 22 + -8 - (-1 - j). Suppose 0*i = 4*i - r. Solve 4*n - n = i for n. 1 Suppose l = -2*v + 78, -l + 2*v = -4*l + 218. Solve 2*p - l = -66 for p. 2 Suppose 0 = -4*s + s + 12. Let i(c) = c**2 - c - 8. Let x be i(s). Solve -x*z - 10 = 10 for z. -5 Let r be (-2)/(-7) - (18/14 + -1). Solve -5*p = -r*p - 5 for p. 1 Let b be -3 + 2 + 16/(-2). Let o = 11 + b. Solve 0*f + 4 = o*f for f. 2 Suppose 0 = -13*c + 10*c + 9. Solve 53*h = 50*h - c for h. -1 Let g(m) = m**2 - m - 1. Let i be g(3). Solve 4*u = i - 25 for u. -5 Suppose -4 = -j + 3. Suppose 0 = -2*l + j*l - 15. Solve 4*x - 1 = l*x for x. 1 Let f(p) = -p**2 - 20*p - 39. Let r be f(-16). Solve -4*t = t + r for t. -5 Let m be 8*6 + 6/(-2). Let t = -25 + m. Let w(a) = a**3 - 5*a**2. Let n be w(5). Solve -x - 3*x - t = n for x. -5 Let w be (-3 - (0 + 47))/(-2). Let c = w + -9. Let u = c - 13. Solve -2*j + 1 - u = 0 for j. -1 Let a = 32 - 18. Let g be a/2*(-4 + 5). Suppose h + g = 4*h + 2*z, 2*z + 2 = 0. Solve -h - 5 = -4*p for p. 2 Let d = -366 - -367. Solve 19 = 10*z - d for z. 2 Suppose -4*n = f - 12, 0 = 5*n - 6*n + 5*f - 18. Let w be 2/(-3)*-9 + 1. Suppose 3*t - w - n = 0. Solve t - 4 = -u for u. 1 Suppose 53 = 3*h - 115. Suppose 60*c - 16 = h*c. Solve -c*s + 2*s = -8 for s. 4 Let z(a) be the third derivative of -a**4/12 - a**3/2 - 5*a**2. Suppose 2*o + 19 = -5*v, 4*v - 4*o = -0*o - 4. Let w be z(v). Solve 8*b = w*b for b. 0 Let d be (-2 + -1 + 1)*1. Let b(k) = -k**3 - 3*k**2 - 2*k. Let m be b(d). Let h(q) = q**3 + q + 15. Let t be h(m). Solve -4*p + 9*p = t for p. 3 Suppose 0 = -5*b - 5*g, -15 - 15 = -4*b + 2*g. Suppose b*x - 2 = 18. Solve -9 = -s - x for s. 5 Suppose 4*t = 57 + 27. Suppose -6*f + 6 = -4*f, t = 3*l + 4*f. Let m(o) = -o**3 + 4*o**2 - o - 3. Let q be m(l). Solve -b = q*b for b. 0 Let f(q) = -q**2 + 19*q - 54. Let z be f(15). Solve 14*c = 8*c + z for c. 1 Let v = -48 - -51. Let k be (6*v/45)/(1/5). Solve -1 = -c + k for c. 3 Let a = 324 + -320. Solve -a*g + 6*g + 2 = 0 for g. -1 Let v be 418/15 - ((-224)/240)/7. Solve -30*z - v = -16*z for z. -2 Suppose -26*p = -84*p + 232. Solve 4 = p*s - 16 for s. 5 Let m be (-35)/(-7) - (-61 + 10). Solve 0 = 9*b + 29 - m for b. 3 Suppose 0*x + 40 = 6*y - 2*x, 5*y = 4*x + 45. Solve 0 = -y*j + 3 + 2 for j. 1 Let q(u) = u**3 + 3*u**2 - 4*u. Let s be q(-4). Let z be -2 - (4 - (7 + 4)). Let w = z - s. Solve -3*d + w = -7 for d. 4 Let t = -15 + 15. Suppose m + t = 1. Solve -b = -0*b - m for b. 1 Let q be (6/(-9))/(1 - (-17)/(-15)). Solve q*k - 12 = k for k. 3 Let s be -9*16/(-60)*10. Solve -s = -5*i - 14 for i. 2 Let y(o) = 5*o**3 + 5*o**2 + 3*o - 3. Let s be y(-2). Let q = -27 - s. Solve -q*f + 0 = -4 for f. 2 Let k be 4*(1 + 1/(-4)). Suppose 0 = 4*g + k*f - 15, 3*f - 1 = 2*f. Suppose -2*b + 4 = 2*b - 2*x, -6 = g*b + 3*x. Solve -5*n = -b*n for n. 0 Suppose 5*c = -3*y + 90 + 32, -3*c - y + 70 = 0. Solve m + c = 21 for m. -1 Let c be 26 + -17 + 2 + 3. Solve -c - 7 = 7*z for z. -3 Let p(y) be the first derivative of y**3/3 + 3*y**2/2 + 4*y + 6. Let z be p(-3). Suppose 11 = 4*g + u - 0*u, z*u + 20 = 0. Solve g*v - 3 = -7 for v. -1 Let v(h) be the second derivative of -h**3/6 + 9*h**2/2 - 4*h. Let b be v(4). Solve 4*k - b*k + 5 = 0 for k. 5 Let r(w) = 6*w**3 + w - 2. Let i be r(1). Suppose -4*o = 4*s + 8, 23 = -2*o - 5*s + 13. Solve o = -10*f + i*f for f. 0 Suppose -2*x + 4*q = -10, 14*q = 2*x + 19*q - 1. Solve x*n = n + 8 for n. 4 Let x = 9 - 7. Suppose -2 = o, 3*a - x*o = 7 + 3. Let y = -2 + a. Solve d + y*d = -3 for d. -3 Suppose 4*y = o + 19, -y + 24 = 3*y + 4*o. Let t be y + (-8)/(0 + -4). Solve t*w = 3*w - 4 for w. -1 Let b(x) = 2*x**2 - 17*x + 100. Let j be b(10). Solve j*i = 127*i - 6 for i. -2 Let u = -379 - -402. Solve 0 = 7*t + 2 - u for t. 3 Suppose 0 = -2*k + 5*c + 29, -k = -5*c - 11 - 1. Solve 0 = -23*v + k*v - 30 for v. -5 Let v(w) = 9*w + 38. Let f be v(-4). Solve 0 = 2*c + f*c - 20 for c. 5 Let i be ((-27)/12)/((-1)/8). Let r be (14/42)/(2/i). Solve 0*h - 15 = r*h for h. -5 Suppose 4*f - 5*i + 5 = 54, -15 = -f + 4*i. Suppose 0 = f*d - d. Solve 3 + d = 3*t for t. 1 Let u be (-17)/(-7) - 3/7. Suppose d - 8 = -3*v, 6*d = 2*v + u*d - 10. Solve 0*y - y = v for y. -3 Suppose -11*u + 20 = -6*u. Solve -20 = u*z + z for z. -4 Suppose i = -i. Let m(n) be the second derivative of -n**3/3 - 35*n**2/2 - 14*n. Let t be m(-20). Solve i*z - z = t for z. -5 Let z(i) = i**3 - i**2 - i. Let f(y) = -4*y**3 - 4*y**2 - 4*y - 7. Let w(r) = f(r) + 5*z(r). Let u be w(10). Let g = u + 2. Solve -2*v - 12 = -g*v for v. 4 Let v be 234/(-15)*20/(-6). Let r = v - 50. Solve 5*w + 6 = r*w for w. -2 Let c(d) = -d**3 + 39*d**2 - 38*d + 7. Let u be c(38). Solve u + 43 = 10*y for y. 5 Let v = 87 + -44. Let p = v + -41.
{ "pile_set_name": "DM Mathematics" }
2)/5 + 289/(-510). Which is the second biggest value? (a) 4 (b) k (c) m b Let q = -0.82 - 4.18. Which is the third biggest value? (a) q (b) -3 (c) 0.2 a Suppose 4*v - 55 = -7. Let p be ((-8)/v)/(2/5). Let i = 2 + p. Which is the second smallest value? (a) -2/11 (b) i (c) -4 a Let d be (-18)/18 + (-1)/(-1). Let h = -7 - -8. Suppose d + h = -v. Which is the smallest value? (a) -1/2 (b) 0.3 (c) v c Let j = -1.78 - -5.78. Which is the biggest value? (a) -2/11 (b) j (c) 0.46 b Suppose q + 5 = 2*q. Let o be 988/(-28) - 4/(-14). Let d be (-8)/o - (-1)/q. Which is the smallest value? (a) d (b) 0 (c) -5 c Let u = 33.64 - 33.6. What is the smallest value in 3, u, 1/2, 5? u Let u = -65 + 61. Which is the biggest value? (a) 0.2 (b) -28 (c) u (d) 0.5 d Let p = -14.16 + 19.246. Let m = -0.086 + p. What is the second smallest value in m, 2, 4? 4 Suppose 0 = 5*i - 12 - 13, -5*v + 45 = 4*i. Let u = 3 - 0. Let m = -20 + 17. Which is the third smallest value? (a) u (b) m (c) v c Let k = 0.405 - 0.705. Let t = 6 - 7. What is the second biggest value in t, -0.2, k, -4? k Let n = 3.8643 + 0.1357. What is the smallest value in -0.2, -0.3, n, 4/25? -0.3 Suppose 7*g + 2 = o + 8*g, 2*g - 1 = -5*o. Which is the third smallest value? (a) 2/21 (b) 2/3 (c) o (d) -5 a Let y = 2.2 - -2.8. Let n = -1/53 + -95/583. Which is the fourth biggest value? (a) -0.1 (b) y (c) -2 (d) n c Let s = -73/341 + 1/31. Let d = 2.8 + -2.9. Which is the third smallest value? (a) d (b) s (c) 0.2 c Let c be -346*(-12)/(-9099) - 0. Let u = -4/337 - c. What is the third smallest value in 0.4, u, 0? u Suppose t - 3*g = 3*t + 29, 0 = -2*g - 10. Let i be 2/7 + t + (-574)/(-49). Which is the third smallest value? (a) -2/35 (b) 1/3 (c) i c Let d(l) = -l**2 + 3*l - 3. Let q be d(4). Let u be 2/12 + q/(-3). Suppose -88*j + 89*j + 5 = 0. Which is the second biggest value? (a) 1 (b) j (c) u a Let h = 0.03 + -2.03. Let t = 66/13 - 515/104. Let w = t + -43/24. What is the biggest value in -1, w, h? -1 Let q = 7/143 + -2393/2145. Let x be (1 - (-405)/10)/(-60). Let r = x - q. What is the second smallest value in -0.4, 2, r? r Let q = 0.109 - 0.064. Let o = q - -0.455. Which is the second biggest value? (a) o (b) 0.2 (c) 4/5 a Suppose 7 = 2*d + 3*r - 4, -d + r = 7. Let q be d/((-36)/50) - 3. Let o = 20 - 20. What is the third smallest value in q, o, -0.4? o Let g = -293 - -305.9. Let d = 13 - g. Let i = 0 + 3. What is the third smallest value in i, 0, d? i Let a = 3.61 - -0.39. What is the biggest value in a, 2, 1? a Let v = -136 - -12. Let q = -188 - v. Let l = q + 703/11. What is the third biggest value in 5, 2, l? l Let m = -2.96 - 0.04. Let b = 1059 + -1057. What is the second smallest value in -1, -2, b, m? -2 Let u = -27 + 12. Let g = 20 + u. Suppose 4*d - 2*k = 2, 4*k - 7 = -19. Which is the second biggest value? (a) g (b) -4 (c) d c Let p = 2399 + -2397. Which is the third smallest value? (a) -0.3 (b) 10 (c) p b Let v = 0.0699 + -1.0899. Which is the smallest value? (a) -2 (b) v (c) 0.3 a Let z = 2.8 - 18.4. Let r = z - -16. Let o = -1/232 - -473/2088. What is the third biggest value in o, 1/6, r? 1/6 Let s = 0.1 + -0.32. Let n(y) = -y**3 - 38*y**2 - 38*y - 35. Let h be n(-37). What is the second biggest value in -3, h, s? s Let h = 27 - 27.1. Let y be (-1 - 10/(-6))/((-8)/(-3)). What is the fourth biggest value in y, -2/13, h, -1? -1 Let k = -41 + 54. Suppose k*w = 17*w + 32. Let q = -191/8 - -24. Which is the second biggest value? (a) -5 (b) w (c) q a Suppose -2*b + 4*x = 3*b - 381, 4*b + 3*x - 311 = 0. Let n = b + -74. What is the third smallest value in 10, 0.1, n? 10 Let j = 18.5 + -19. Which is the smallest value? (a) -4 (b) j (c) -1 (d) -0.4 a Let q = 6 - 46.8. Let f = q + 41. Let m = 2 + -1. Which is the smallest value? (a) -0.3 (b) f (c) m a Let i = 0.17 - 10.17. Let z = 5 + i. Let f = -0.06 - -3.06. Which is the third biggest value? (a) 2/11 (b) f (c) z c Let a = -0.6 - -0.54. Let f = 3.3 + -3. Let k = 2.38 + -1.98. What is the smallest value in a, k, f? a Let s = -7 + 2. Let o be (-2306)/90 + (-14)/14. Let g = -132/5 - o. Which is the second smallest value? (a) 4 (b) s (c) g c Let j(c) = -18*c - 3. Let a be j(-1). Let x be (3/15 + (-32)/60)*a. What is the third smallest value in -2, x, 0? 0 Let b = -143.5 + 143. Let t = -12/11 + 18/11. Let o be ((-2)/(-14))/(-4 + 5). What is the second smallest value in o, t, b? o Let q = -2/137 - -5087/1233. Let r = 12 - 8. Let d = q - r. Which is the smallest value? (a) 4/9 (b) d (c) -0.5 c Let u = -1 + -1.6. Let n = u - -1.6. Which is the third smallest value? (a) 4 (b) -4/5 (c) n a Let n = -560 - -519.1. Let x = n - -41. Which is the third smallest value? (a) -0.2 (b) x (c) 0 b Let c(w) = w**2 - 4*w - 2. Let a be c(-4). Let z be (2/(-3))/((-4)/a). Suppose v - z = -2. What is the second biggest value in -9, v, 5? v Let d = -30139 - -30145. Let a be (3/(-22))/((-6)/8). What is the second smallest value in a, d, -2? a Let y be 1/(-1)*(-16)/80. Which is the biggest value? (a) y (b) 3 (c) -0.08 b Let k = -362.7 + 347. Let f = k - -16. Which is the smallest value? (a) f (b) -4/7 (c) 6/13 b Suppose -2*y - 2*a - 482 = 0, 366 - 1337 = 4*y - 3*a. Let m = y - -2664/11. Let q be (-4)/(-10) - 24/50. What is the smallest value in q, -1/3, m? -1/3 Suppose 0*h - 20 = -5*h. Suppose -2*y + h = -y. Which is the smallest value? (a) -3/2 (b) 1 (c) y a Let y be 8*(-417)/1170 + 2. Let u = 2/39 + y. What is the biggest value in -2/11, -2/3, u? -2/11 Let l = 3 + -2.5. Let p = -409 - -405. Which is the third biggest value? (a) 2 (b) p (c) l (d) -3/7 d Let n = -0.026 + 0.426. What is the third biggest value in 1/8, -2, n? -2 Suppose 4*d + 2*a = 76, 12*a + 19 = d + 15*a. What is the smallest value in 0, 1.3, 0.3, d? 0 Let o = -661 - -663. Suppose -k + 3*x = -x + 13, -4*k + 3*x = 0. What is the biggest value in o, k, -6, -2/5? k Let f = -2 + -3. Let z = 29/2 - 59/4. Let q be 4/10*3/(-6). Which is the third smallest value? (a) q (b) z (c) f a Let k = -353.752 + -1.248. Which is the biggest value? (a) -1 (b) -2/9 (c) -2/7 (d) k b Let m = 496 - 501. Which is the third biggest value? (a) m (b) -2/15 (c) 3 (d) -1 d Let q = -518 - -518. What is the smallest value in 5, q, 2/3, 0.9? q Let z = 2303461/217 - 10615. Let n = z - -8/31. What is the second smallest value in -0.1, 2/3, 1, n? n Let b = 3 + -2.5. Let y be 85/561 + (-4)/24*2. What is the fourth biggest value in y, 0, -3/4, b? -3/4 Let l be (3/(-9))/((-1)/(-3)). Let m be (-1)/((-35)/36) + 339/(-791). Which is the smallest value? (a) -4 (b) l (c) m a Suppose -20*y + 23*y = 0. What is the third smallest value in -0.2, 1/8, y? 1/8 Let j = -0.3392 + 0.2192. What is the second smallest value in -2/27, -1, j, 1/3? j Suppose -1192 = -3*i + o, -2*i + 2*o - 6*o = -818. Let y be (-5983)/15 + (2 - 2). Let p = y + i. Which is the second smallest value? (a) p (b) 3 (c) 0.4 c Let c = 2843 - 2687.7. Let k = c - 172. Let r = -17 - k. What is the biggest value in 0.1, 1, r? 1 Let n = 1.7 + 11.3. Let i = -16 + n. Let m = i - -8. Which is the smallest value? (a) 4 (b) m (c) -0.2 c Let r = 0.002 - 0.002. Let y = 1.12 - -0.18. Let u = -0.3 + y. Which is the second biggest value? (a) u (b) r (c) -4 b Let k be 10/(-2) + (-4 - -5). Let c = 1379/10 + -138. Suppose 24*s = 5*h + 21*s - 14, -4*h + 3*s = -13. What is the third smallest value in k, h, c? h Let t = 289.89 + -290. Which is the smallest value? (a) 0 (b) t (c) 2/3 b Let k = 245/1062 - 1/118. Let j = -23 - -23.1. Which is the second smallest value? (a) k (b) -1 (c) j (d) -4 b Suppose 28*y = -9*y + 37. Which is the fourth biggest value? (a) 2/71 (b) y (c) -1/5 (d) 3 c Let k be (-2)/(-6) + 1/(-2). Let w = 18 - 11. Suppose -7 = -7*m + w. What is the smallest value in m, k, -3/2? -3/2 Let y = -2 + 6. Let b = 40 - 45. Let v = -2.9 - -3. What is the second smallest value in v, b, y? v Let w = 9.7 - 12. Let q = w - -2. Let d = -92 + 95. What is the smallest value in q, -0.4, d? -0.4 Let r be 6/(-32)*7275/(-495). Let j = 1/176 - r. Let t = -0.3 + -0.7. What is the third biggest value in j, t, 3? j Let q = -2 + 2.4. Let c = -2496.2 + 2496. What is the third smallest value in -4, q, c
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 1 b, 2 r, and 1 k when four letters picked without replacement from hbkgrrf. 1/35 Four letters picked without replacement from kykyy. What is prob of picking 1 k and 3 y? 2/5 Two letters picked without replacement from bbpbpb. What is prob of picking 2 p? 1/15 Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {j: 2, n: 3, r: 3}. 9/28 Calculate prob of picking 1 k, 1 n, and 1 v when three letters picked without replacement from {m: 3, v: 3, c: 2, k: 2, n: 6}. 9/140 Calculate prob of picking 1 h and 1 y when two letters picked without replacement from ywhqxiiy. 1/14 Calculate prob of picking 2 m when two letters picked without replacement from {m: 6, u: 4, p: 7}. 15/136 Two letters picked without replacement from jjuyyoooojjdtojooyuo. Give prob of picking 1 y and 1 t. 3/190 What is prob of picking 2 b and 1 k when three letters picked without replacement from bewwewwewwkwwkwbeww? 2/969 Three letters picked without replacement from yyfyyyfyyyfyyyyfyy. What is prob of picking 3 y? 91/204 Two letters picked without replacement from xgfwxw. Give prob of picking 2 x. 1/15 Three letters picked without replacement from {f: 1, j: 1, z: 1, k: 1, e: 1}. What is prob of picking 1 k, 1 f, and 1 z? 1/10 Three letters picked without replacement from {f: 7}. Give prob of picking 3 f. 1 Three letters picked without replacement from {a: 12, x: 3}. What is prob of picking 2 x and 1 a? 36/455 Four letters picked without replacement from {p: 3, m: 4, y: 1, h: 2, o: 1}. Give prob of picking 1 p, 1 y, and 2 m. 3/55 What is prob of picking 4 p when four letters picked without replacement from ppppppp? 1 Four letters picked without replacement from mmmmpmpmmmpm. Give prob of picking 2 p and 2 m. 12/55 Four letters picked without replacement from kveas. Give prob of picking 2 k and 2 v. 0 Four letters picked without replacement from {f: 5, k: 9, x: 2}. What is prob of picking 3 k and 1 x? 6/65 What is prob of picking 1 b and 2 v when three letters picked without replacement from vbrrbtrvvtrrdrvtvr? 5/204 Two letters picked without replacement from pppppp. What is prob of picking 2 p? 1 What is prob of picking 2 x when two letters picked without replacement from {x: 4}? 1 Two letters picked without replacement from nzznzznnnznz. Give prob of picking 2 n. 5/22 Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {m: 2, k: 2, n: 1, h: 1}. 2/15 Calculate prob of picking 2 m, 1 p, and 1 r when four letters picked without replacement from mprmrphh. 2/35 Calculate prob of picking 1 x, 1 u, and 1 n when three letters picked without replacement from xnmunhn. 3/35 Four letters picked without replacement from {d: 4, w: 7}. What is prob of picking 3 w and 1 d? 14/33 Two letters picked without replacement from lvvlll. Give prob of picking 2 l. 2/5 What is prob of picking 4 w when four letters picked without replacement from {w: 7}? 1 Three letters picked without replacement from cxycdfxcycfw. What is prob of picking 1 w, 1 d, and 1 f? 1/110 What is prob of picking 3 a when three letters picked without replacement from {a: 3, x: 7}? 1/120 Calculate prob of picking 2 w when two letters picked without replacement from {w: 1, p: 1, l: 1, i: 1, t: 1}. 0 What is prob of picking 2 w and 2 a when four letters picked without replacement from waaeaaweaeaaaawaaaa? 39/646 Three letters picked without replacement from hhhhhhihhhhhhhihhi. Give prob of picking 2 i and 1 h. 15/272 Two letters picked without replacement from fqcfe. What is prob of picking 1 e and 1 f? 1/5 Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, e: 3, a: 1, x: 3}. 6/55 What is prob of picking 3 f when three letters picked without replacement from kkfkkkkkkkfkfkffkf? 5/204 Four letters picked without replacement from rccccccccjrrcccc. Give prob of picking 2 c, 1 j, and 1 r. 99/910 Four letters picked without replacement from {c: 4, s: 1, o: 3, f: 2, i: 1, u: 1}. What is prob of picking 3 o and 1 f? 2/495 Calculate prob of picking 2 p when two letters picked without replacement from {s: 2, p: 10}. 15/22 Three letters picked without replacement from kdkokookkkkoono. Give prob of picking 1 n, 1 d, and 1 k. 1/65 Four letters picked without replacement from oooooooxxoo. What is prob of picking 4 o? 21/55 What is prob of picking 1 i and 1 f when two letters picked without replacement from fijym? 1/10 Two letters picked without replacement from kklklkklhkkh. Give prob of picking 2 k. 7/22 What is prob of picking 3 i when three letters picked without replacement from uffffiffiifffff? 1/455 Two letters picked without replacement from zoozzozzzzzozzzzoz. What is prob of picking 2 z? 26/51 What is prob of picking 1 g, 1 s, and 2 r when four letters picked without replacement from mmrrsrmrmxgrrmsmgrs? 21/646 Four letters picked without replacement from {d: 5, i: 1, a: 3, o: 1}. What is prob of picking 1 i, 2 d, and 1 o? 1/21 What is prob of picking 2 c and 2 w when four letters picked without replacement from wwwwwwwcwwcww? 1/13 Calculate prob of picking 1 k, 1 g, and 2 v when four letters picked without replacement from {k: 2, g: 15, v: 3}. 6/323 Two letters picked without replacement from {b: 1, w: 2, e: 1, x: 1, c: 1, m: 1}. Give prob of picking 1 c and 1 e. 1/21 Calculate prob of picking 2 h and 1 l when three letters picked without replacement from hhkxlll. 3/35 Four letters picked without replacement from wpppwbppbpwbp. What is prob of picking 3 p and 1 b? 21/143 What is prob of picking 2 w, 1 l, and 1 c when four letters picked without replacement from {c: 1, n: 7, w: 2, a: 2, l: 1, t: 2}? 1/1365 What is prob of picking 1 w and 2 p when three letters picked without replacement from {m: 2, x: 1, p: 7, w: 6, f: 2, r: 1}? 42/323 Two letters picked without replacement from fqydfyffc. What is prob of picking 1 c and 1 d? 1/36 What is prob of picking 2 a when two letters picked without replacement from amla? 1/6 Two letters picked without replacement from vvujv. Give prob of picking 1 j and 1 u. 1/10 Three letters picked without replacement from {z: 2, q: 2, t: 2, k: 2, d: 1, x: 3}. Give prob of picking 1 z, 1 d, and 1 x. 3/110 Two letters picked without replacement from omrooorro. What is prob of picking 1 m and 1 o? 5/36 Four letters picked without replacement from bbbbb. What is prob of picking 4 b? 1 What is prob of picking 2 h and 2 s when four letters picked without replacement from issiahsiiihis? 6/715 Two letters picked without replacement from {f: 2, i: 2, v: 1, c: 1, o: 1}. Give prob of picking 1 o and 1 f. 2/21 Four letters picked without replacement from {o: 9}. Give prob of picking 4 o. 1 What is prob of picking 1 x, 1 g, and 1 o when three letters picked without replacement from {i: 4, g: 1, f: 3, x: 1, o: 1, m: 2}? 1/220 Three letters picked without replacement from {y: 2, u: 5}. Give prob of picking 3 u. 2/7 What is prob of picking 1 b, 1 a, 1 f, and 1 y when four letters picked without replacement from fybaffafbfybabna? 8/91 Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {c: 13, q: 1, a: 2, w: 2, z: 1, y: 1}. 1/570 Four letters picked without replacement from mmcmccqczz. Give prob of picking 2 m, 1 c, and 1 q. 2/35 What is prob of picking 2 v when two letters picked without replacement from {i: 1, m: 1, v: 2, z: 1}? 1/10 Two letters picked without replacement from {g: 1, r: 3, u: 3, m: 4, f: 7}. Give prob of picking 1 u and 1 r. 1/17 What is prob of picking 1 h and 3 a when four letters picked without replacement from {h: 2, a: 4, e: 6}? 8/495 Four letters picked without replacement from {m: 4, f: 2}. What is prob of picking 4 m? 1/15 Three letters picked without replacement from {f: 3, o: 1, e: 4, j: 1, d: 2}. Give prob of picking 1 j, 1 f, and 1 e. 4/55 Three letters picked without replacement from {r: 1, p: 4, d: 2, u: 7, n: 1}. Give prob of picking 1 p and 2 d. 4/455 Two letters picked without replacement from {m: 3, c: 4, y: 1, q: 1, f: 6}. Give prob of picking 1 f and 1 y. 2/35 Three letters picked without replacement from {v: 1, h: 2, k: 3, c: 2, x: 4, l: 2}. Give prob of picking 1 h, 1 k, and 1 v. 3/182 Calculate prob of picking 2 c a
{ "pile_set_name": "DM Mathematics" }
)**(15/7)/((s*s/(s/(s*s/(s*s**(-2/7))*s)))/s**3)*(s**1*s/s**14)**(-14) assuming s is positive. s**(1189/7) Simplify ((t/t**(9/5)*t*t/t**11)/(t*t**(2/15))**(-4/17))**44 assuming t is positive. t**(-6292/15) Simplify (((t**5/t)/t**(-11))/(t**(-5)*t*t*t*t*t**(3/4)/t))**(2/127) assuming t is positive. t**(65/254) Simplify (((s*(s**(8/5)*s)/s*s)/s)/s)/(s**(2/7)/s*s)*s/s**(-36)*s*s**(-40)*s assuming s is positive. s**(11/35) Simplify ((z*z/(z*z/(z**(21/4)*z))*z**(1/6))/((z*(z/(z**(-6)*z))/z)/(z/(z/z**(-4))*z)))**(-2/69) assuming z is positive. z**(31/414) Simplify (g**6*g*g**(-1/7))/(g**(-2/11)/(g/(g*g**0)))*(g**(-2)/g)/g*((g*g**(4/7))/g)/g*g**(-1/4)/g*g*g/g**0 assuming g is positive. g**(1035/308) Simplify (h*h/h**(2/17)*h*h**(1/6))/((h**31/h)/h*h*(h**(-22)/h)/h) assuming h is positive. h**(-301/102) Simplify ((c**0/c)**(-3/32))**(-48)/((c/(c**(-2/7)*c))**(-16/3)/(c**(-4/7)/(c*c*c/(c**2*c)))) assuming c is positive. c**(-149/42) Simplify (((q**(-1/2)*q)/(q/(q/(((q*q/((q*q**(3/5))/q))/q)/q))))/(q**(-1)/q)**7)/(q*q**(-1/2)*q**(-1/7))**(-42) assuming q is positive. q**(301/10) Simplify ((d**(2/7))**0)**(23/2)*d**(2/13)*d/(d*d**(2/5)*d*d)*(d**(-2/3))**39 assuming d is positive. d**(-1836/65) Simplify ((y*(y/((y**1/y)/y))/y)/(y*y**(1/4)))/((y*y**(-2/11))/(y*(y**(2/3)*y)/y))*(y*(y**1/y)/y)**26/(y**(-3)/(y/(y/(y*y**5)))) assuming y is positive. y**(1399/132) Simplify (m**28)**(3/20)*m**(-4/17)/(m/m**(-1/28)) assuming m is positive. m**(6971/2380) Simplify ((o**(1/2))**(2/53))**(-34)/((((o**(2/7)*o*o)/o)/(o**(2/9)/o))/((o/((o/o**0)/o)*o*o)/o**2)) assuming o is positive. o**(-5693/3339) Simplify (a**37)**47/((a*(a/a**27)/a*a)/(a/a**(6/13))) assuming a is positive. a**(22939/13) Simplify (((x/(x/x**0))**39/(x**11/x**(-5)))**20)**(14/13) assuming x is positive. x**(-4480/13) Simplify (u**(2/11)*u/u**(-6))**15/(u*u/(u**(7/4)/u*u*u)*u*u**4)**(8/3) assuming u is positive. u**(3181/33) Simplify v**2/(v*v**(1/12))*(v**(3/4)/v)/v*(v*v**(2/7))/v*((v**(2/5)/v*v)/(v**(2/25)*v))/(v**0)**(-1/4) assuming v is positive. v**(-382/525) Simplify ((g/(((g*g**(-4))/g)/g))/g**8)**(-11)*((g**1)**(-2/13))**(-7) assuming g is positive. g**(300/13) Simplify ((c**14*c*c**(-1/4)*c)/(c*c**1)**(42/11))**(-16) assuming c is positive. c**(-1428/11) Simplify ((k**(-8/3)/(k**6*k))/(k**12/(k**(2/7)/k)))**(10/7) assuming k is positive. k**(-4700/147) Simplify (((q*q**(-1/2)*q*q**(-1/7)*q)/(q**(-2/3)/q*q*q**(-2/5)/q))**(-28))**(-1/3) assuming q is positive. q**(1858/45) Simplify (((t**11/t)/((t/t**(-4/9))/t))/((t*t**(2/9)/t)/t*t)**(-2))**(-47) assuming t is positive. t**(-470) Simplify (((a/(a*((a/(a/(a/(a*a**25)))*a)/a*a)/a))/(a/(a/(a*a**23)*a)))/(a**(-2/59)/a**(-22)))**(-5/6) assuming a is positive. a**(2945/177) Simplify (g**9*g*g/(g**(2/3)*g*g)*(g**(-3/8)*g)**(-23))**47 assuming g is positive. g**(-6815/24) Simplify ((k/k**(3/8))/k*k*k*k**(1/4)/k)/(k*k*k/k**(-2/7)*k)**(3/13)*((k**(-2)/k)/k*k**6/k*k)**(-13/3) assuming k is positive. k**(-19177/2184) Simplify ((q**(-1/41)/q)/(q*q**14)*(q/(((q**(-38)/q)/q)/q*q))/(q/q**(1/49)))**22 assuming q is positive. q**(1060576/2009) Simplify ((n**(-1/4)*n)**(-34)*(n**(-7)/n)/n*n**(1/4)*n)/(((n/n**(-3))/n**(-3/10))/(n**(-4/3)*n**(-7))) assuming n is positive. n**(-2753/60) Simplify (j/j**(-2/5)*j*j/j**3*j*j*j)/((j*j**(-5)*j)/(j/(j**0/j)*j))*(j**(-1))**(-19)/(j/(j*j/j**(-1)))**40 assuming j is positive. j**(542/5) Simplify (s**6/s*s**(-6))**(-1/74)*((s*s/s**(-6))/s**(6/7))**(3/4) assuming s is positive. s**(1391/259) Simplify ((f/(f/(f/(f/(f**(-2/49)*f))*f))*f**(-2)*(f**(-4/7)/f)/(f**11*f))**(-9))**(-11/4) assuming f is positive. f**(-66033/196) Simplify (i**(-4/7)*i**(3/4)*(i*i**(1/12))/i**(-13))**(-48) assuming i is positive. i**(-4792/7) Simplify ((((j/(j*j**1))**(-1))**(6/17))**(-2/37))**(2/145) assuming j is positive. j**(-24/91205) Simplify ((f/(f*f**(1/3)))**27)**(6/25)/(f**8/(f**(-2/5)*f))**(2/75) assuming f is positive. f**(-884/375) Simplify ((p**0)**47*(p**3/p*p)/p**(3/8))/((p/(p*p*p**(2/3)))/((p*p/(((p*p/(p**(-2/3)/p))/p)/p))/p))**(-5) assuming p is positive. p**(-19/8) Simplify (s*s*s/(((s*(s/(s**5*s))/s)/s*s)/s)*s/(s*(s*s**(-3))/s*s))**(4/11)*(s**5*s/s**(-1))**(-22) assuming s is positive. s**(-150) Simplify (((o**0*o)/o)**(2/113)/((o**6/o)/(o/(o**(-1)*o))))/(((((o*o/((o/(o**0/o))/o)*o)/o)/o)/o)**(3/10)/(o**(-6)*o*o**(-6/7))) assuming o is positive. o**(-669/70) Simplify w**(-3)/(w*w/(w*w**(-2/19)))*(w/(w*w**(-5/4)))/(w/(w/w**(1/4)))*(w/(w*w**2))**(2/9)*(w/w**(-1/2))**(-36) assuming w is positive. w**(-9841/171) Simplify ((((d*d/d**(-8)*d)**29)**(-31))**(-49))**(-43) assuming d is positive. d**(-20836123) Simplify ((o/o**(-2))**2/(o**(-1/5)/o)**1)**34 assuming o is positive. o**(1224/5) Simplify ((x*x*x**8/x)/x*x/x**(-8))**12*(x/x**(-1)*x**(2/11))**(-22/3) assuming x is positive. x**188 Simplify f/(f**7*f)*f*f**9*f*f/f**4*f**1*(f**(-1/25)*f**(-12))**(5/7) assuming f is positive. f**(-33/5) Simplify b/((b*b/((b**(2/5)*b)/b*b))/b)*b*b**(2/13)*b*((b**(1/4)*b)/b*b*b)**(1/17)*((b*b**(3/8))/b)/(b*b*b**(6/7))*(b*b**(1/3))**(-32/7) assuming b is positive. b**(-907999/185640) Simplify (((j**(-1)*j)/j)**23/((j*j*j**(-7/2))/(j/(j*j*j**2*j)*j*j*j)))**34 assuming j is positive. j**(-765) Simplify (u**(-1)*u)**(6/13)*(u/(u*(u**(-1/6)/u)/u))/u**(-3/2)*((u/(u/u**(-1/2)*u)*u)**(-43))**9 assuming u is positive. u**(1183/6) Simplify ((y**(-8/7)*y/(y/y**(-2/27)*y*y*y))/(y**(-8)/((y**6*y)/y*y)))**42 assuming y is positive. y**(4076/9) Simplify c*c/(c/(c*c**5*c))*(c*(c**(2/9)/c*c)/c)/c*c**(-1)/c*c*c**(-3)*c*c*c*(c/c**7*c**(-6))**(4/5) assuming c is positive. c**(-152/45) Simplify (b**(-2/3)*b**3)**(-2)*(((b**0/b)/b)/b*b)**(9/8)/(b**(-2)/b)**(1/12) assuming b is positive. b**(-20/3) Simplify ((k*k*k/k**0*k)/k*k**(-4)/k*k)**17/((k**(-4/5)*k*k*(k/k**(-4))/k)/(k**0/(k**(2/7)/k))) assuming k is positive. k**(-752/35) Simplify (r**(2/3)/r**(-2/7))**(-38)*(r**(3/4)*r**(-2/3))/(r**(-1)/r*r**(-1)) assuming r is positive. r**(-927/28) Simplify (q**(-4))**27*(q*q/(q*q**(3/5)*q)*q*q*q)**(1/2) assuming q is positive. q**(-534/5) Simplify ((h*h**(-30)*h*h*(h*h**(-11))/h*h)/(h/(h*h/(((h**(2/15)*h)/h)/h)))**34)**17 assuming h is positive. h**(6749/15) Simplify (l**0/l*l*l**(2/35)*(l*l*l/l**7*l)/(l*l*l**5))**(2/23) assuming l is positive. l**(-696/805) Simplify (k**(-5)/(k*k**(-4))*((k**(-1/2)/k)/k)**(29/3))/((k*k**(3/7)*k)/(k/(k/k**6)))**(-2/139) assuming k is positive. k**(-153061/5838) Simplify ((b/(b*b**(-3/4)))/(b**(2/3)*b))/(b/b**(-2))**(-20)*(b**(-1/3))**(-46)/(b**(1/4))**(-42) assuming b is positive. b**(1019/12) Simplify (o**(1/3)/o*o/(o**(-1/3)/o)*o*(o*o**(-6/11)/o*o)**15)**18 assuming o is positive. o**(1878/11) Simplify (v/v**(-1/3))**(3/5)/(v**0*(v/v**(1/7))/v)*((v**(-4)*v)/v*v*v*v**1)**(2/5) assuming v is positive. v**(19/35) Simplify (((p*p*p**8*p/(p/(p**(5/3)/p))*p)**(-41))**(-30))**14 assuming p is positive. p**200900 Simplify (k*k**(4/23))/k**9*(k*k*k**44)/(k**(-8/3)/k) assuming k is positive. k**(2887/69) Simplify (t**(-3/5)/((t**(1/4)/t)/t))/((t**(-2/5)/t)/t**(-2/5))*(t**(6/11)*t)/t**(-1)*t**(-1/2)/t**(-2) assuming t is positive. t**(1363/220) Simplify (((h*h/(h**(-5)/h)*h*h)/h)/((h**4*h)/h)*h**(1/5)*h**(-2/15))/((h/(h*h*h*h/(h/h**1)*h)*h)**(9/11)/(h**3*h**(-1))) assuming h is positive. h**(1571/165) Simplify (m**(-15))**35/(m/(m*m**(-1/63))*m)**(17/2) assuming m is positive. m**(-33619/63) Simplify (y**1/y**(6/13)*(y**(8/13))**(2/49))**(-47) assuming y is positive. y**(-16873/637) Simplify (((g*g**3*g*g)**(3/4)*(((g/(((g/(g/(g**(-1/6)*g)))/g)/g))/g)/g)/g**(1/5))**(-1/41))**5 assuming g is positive. g**(-67/123) Simplify ((z**(3/5)*z/(z*((z**(-16)/z)/z)/z*z))/((z/(z*z**(-16))*z)/z**13))**(-34) assuming z is positive. z**(-2482/5) Simplify ((s**(2/7))**(-6/25)/(s/(s*s/s**(-1/4)))**(-25))/(s*s**(-6)*s*s**6*s**(-1/8)*s**(4/7)) assuming s is positive. s**(-6753/200) Simplify ((a*(a*a**(-2/3))/a*a*a)**9/(a**(-2)*a*a)**(-4/27))/(((a**(-8)/a)/a*a**0)/(a**(-3/5)/a**2)) assuming a is positive. a**(142/5) Simplify (v/((v/(v*v**(-3)/v))/v)*v**(-5)*(v/(v*v**(2/3)))/(v/v**(5/3)))/((v*v**(-3)*v*v)/v**(1/5)*(v*(v/(v*v**1/v*v)*v*v)/v)**(-4/15)) assuming v is positive. v**(-98/15) Simplify ((((s*s**(-2/11)/s*s)/s*s)/s)/(s/s**(-6)))**37/((s*(s*s/((s*s**(6/5)/s*s)/s*s)*s*s
{ "pile_set_name": "DM Mathematics" }
*f + 807040*f in the form h*f + s*f**2 + k and give s. 1987 Rearrange 30886*j + 397 - 15449*j - 15440*j to the form c + i*j and give c. 397 Express 23*t**3 - 4*t + 95*t**4 - 97*t**4 + t**2 - 100*t**3 - 2*t**3 + 2 in the form z*t + c*t**2 + v + y*t**3 + a*t**4 and give c. 1 Rearrange 35*t**3 - 74*t**3 + 12*t**3 + 2 + 17*t**3 - 1110*t + 11*t**3 to v*t**2 + n*t**3 + a + s*t and give s. -1110 Express -453 - 580 + 4458*s**2 - 4462*s**2 - 2*s as v + b*s + z*s**2 and give v. -1033 Express w + 5*w - 24*w + 10*w + 10*w**4 - 14*w**3 + 10*w as h*w**4 + s*w + m*w**2 + l + v*w**3 and give v. -14 Rearrange -550695 + 18*f**3 + 550695 + f + 50*f**4 to the form o*f + p*f**3 + l*f**2 + y*f**4 + s and give o. 1 Express 2133 - 2133 - 14043*m + 3540*m as o + u*m and give u. -10503 Rearrange 256*v - 10*v**2 + 168*v - 440*v + 4 to the form t*v**2 + i + h*v and give h. -16 Express (l + 0*l - 2*l)*(-l - l**2 + l) - 5117*l**2 + 5117*l**2 - 11*l**3 - 3 + 43*l**3 + 22*l**3 - 14*l**3 as x*l**3 + w*l**2 + g*l + r and give r. -3 Express 41 - 6 - 94 + 4*u - 39*u + 4 in the form g*u + j and give j. -55 Express (-6136*t**3 + 9377*t**3 + 7592*t**3 + 2909*t**3)*(-t + t - t) in the form o + d*t**3 + x*t + f*t**4 + n*t**2 and give n. 0 Express (-168 + 225 + 159)*(-7*f - 2 + 2 + (-4*f - f + 4*f)*(-3 + 3 - 2)) in the form w*f + r and give w. -1080 Rearrange -1574*d + 5 + 3200*d - 1527*d + d**2 + 0*d**2 to the form a*d + q*d**2 + i and give i. 5 Express (-3 - 2 + 3)*(-21 + 19 - 23)*(-7*x**3 + 102 - 102) in the form f + i*x**3 + j*x + w*x**2 and give i. -350 Express (-n**2 - n**2 + 0*n**2)*(302 - 27*n - 633 - 37*n + 308) in the form l + j*n**3 + a*n + v*n**2 and give v. 46 Express (-10*u**3 + 3*u**3 - 7*u**3 + (4*u - u**2 - 4*u)*(-6*u + u + 3*u))*(33 + 92*u - 33) in the form b*u**3 + s*u + k + a*u**4 + o*u**2 and give a. -1104 Rearrange 28328 + 28330 + 2*m + 66*m**2 - 56656 to the form j + h*m + z*m**2 and give z. 66 Rearrange 1 + 3295*j - 1 - 1255*j + 1217*j to the form p*j + o and give p. 3257 Express (-3*f - 6 + 6)*(0 + 2*f + 0) + (27206*f + 4 + 27224*f - 54511*f)*(0*f - 3*f + 2*f) as g + n*f + s*f**2 and give n. -4 Rearrange 1478*f**4 - 33 + 3*f**2 + 20*f - 1480*f**4 - 13 - 2*f**3 to the form l*f**3 + p + c*f + m*f**4 + o*f**2 and give m. -2 Express 35*l - 334*l + 39*l + 2*l**2 - 2 - 3*l**2 as x + b*l**2 + f*l and give b. -1 Express 9 - 3*q**2 - q**4 - 49*q - 2 + 6*q**3 - 8 - 1 in the form z*q**2 + r*q + g*q**4 + f + v*q**3 and give r. -49 Rearrange -545*a - 2885*a - 1843*a to the form v*a + z and give v. -5273 Express -614*k**3 - 590*k**3 - 1 - 5*k**2 + 1166*k**3 - 1 + 3*k**2 - 4*k**4 as b*k**3 + z*k**2 + g + i*k**4 + w*k and give b. -38 Express -6885*t - 14560*t - 1843*t as p + u*t and give u. -23288 Rearrange -5 + 303*s - 4 + 2 + 5 to the form q*s + j and give q. 303 Rearrange 7010*g - 18939 + 18939 to the form m + z*g and give z. 7010 Express -86088*s**2 + 172178*s**2 + 1 - 86096*s**2 + 333*s in the form u + k*s**2 + w*s and give w. 333 Rearrange -45*h - 118 + 22*h + 19*h - 131 to the form a*h + z and give a. -4 Rearrange (2*m**3 - 2 + 2)*(4 - 6 - 1) + (3*m - 3*m - 3*m**2)*(-18629 - 181*m + 18629) to the form a + x*m**2 + s*m**3 + k*m and give s. 537 Rearrange -62 + 37*v + 33*v + 43*v + 31*v - 159*v to k + l*v and give k. -62 Rearrange (5 - 12 - 117200*m**2 - 143678*m + 143678*m + 7)*(2*m**2 + 2*m**2 - 5*m**2) to k + r*m**2 + z*m**4 + u*m**3 + p*m and give p. 0 Rearrange 6852*c - 1099*c**3 - 13709*c + c**2 - 2 + 6858*c + 0*c**2 to the form d*c**2 + q*c + j*c**3 + p and give j. -1099 Rearrange -93*r - 312 + 45*r + 50*r + 1055 + 3415 to k + z*r and give z. 2 Express 8134 - 8134 + 1111*l + 2354*l + 730*l in the form i + j*l and give j. 4195 Rearrange 2 + 7*g - 3 + 147829*g**2 - 147821*g**2 - 5*g + 0*g - 70*g**3 to n + o*g + w*g**3 + r*g**2 and give n. -1 Rearrange (-1 + 2 + 1)*(-227*f + 341*f + 68*f + 596*f) to the form v + g*f and give g. 1556 Express 11561*m + 3238 - 3238 + (-m + 2*m - 3*m)*(-1 + 4 - 1) as r + l*m and give l. 11557 Express -9*d**4 + 81*d**2 - 81*d**2 - 98*d + 44572 - 44570 in the form t + s*d**3 + k*d + p*d**2 + f*d**4 and give t. 2 Express (9*s - 7*s + 11*s)*(-127 + 1142 - 113) as t*s + r and give t. 11726 Rearrange 333*z - 659*z + 217*z + 2 + 18 to the form o*z + s and give o. -109 Rearrange 4 - 4 + 5 + 10 + 34 + 5*q**3 to b*q**2 + h + c*q + n*q**3 and give n. 5 Express -50*p**3 + 6 + 54*p**3 - 16 - 3*p - p**2 - 1 + 24 in the form n*p**3 + v + c*p + s*p**2 and give n. 4 Rearrange -5 + 3 - 113*v + 236*v + 171*v + 666*v to the form m*v + b and give b. -2 Express 6*m**3 + 52*m**2 - 54*m**2 - 292 - 238*m**4 + 240*m**4 in the form k*m**2 + o*m**3 + j + b*m + h*m**4 and give j. -292 Express 2163*k**3 - 16 + 3*k + 15*k - 2165*k**3 as a*k**3 + b*k + x*k**2 + i and give i. -16 Express -30*t**3 - 33*t**3 + 4*t**4 - 35*t**3 + 4*t**2 + 101*t**3 in the form v*t**3 + u*t**4 + b*t + h + l*t**2 and give l. 4 Rearrange 2 + 4 - 15 - 8*f**2 + 4*f**4 - 5*f - 2*f**3 + 8 to z*f + a*f**4 + r*f**2 + n + x*f**3 and give n. -1 Rearrange 9*s - 2*s**3 + 7563 + 0*s**2 + 5*s**2 - 7518 to the form x + r*s + m*s**3 + n*s**2 and give m. -2 Express 640 - 95*l**3 + 232*l**3 - 122*l**3 + 3*l + 138 - 2*l in the form x + s*l**2 + b*l**3 + f*l and give b. 15 Express (-1 - 1 + 3)*(-24 - 6 + 626*p**3 + 32) as s + o*p + v*p**3 + u*p**2 and give v. 626 Express 47*h**3 - 726*h**3 - 41*h - h**2 + 41*h in the form a*h + c + k*h**3 + w*h**2 and give w. -1 Express (1 - 26 - 4)*(-139 - 88 - 153 - 12)*(t**3 + 3*t**3 - 6*t**3) in the form a*t**2 + c + p*t + z*t**3 and give c. 0 Express 258*f - 135*f - 123*f - 1692*f**2 in the form v*f**2 + j*f + w and give j. 0 Express -2194 - l - 44*l**2 + 164*l**2 - 43*l**2 - 79*l**2 as d + n*l + m*l**2 and give d. -2194 Rearrange 16*v**4 - 4 + 3*v + 7*v**3 - 3*v + 0 + 5*v - 3*v to n*v**3 + w*v + p + h*v**2 + f*v**4 and give n. 7 Express (-6 - 5 - 2*r + 4)*(0*r - 33*r + 4*r)*(3 + 0 - 4) as g*r + j + q*r**2 and give q. -58 Express (-188 - 199 + 477)*(-2*h + 0*h + 4*h + (-3 + 2 + 3)*(3*h - 5*h + 0*h)) + 129 + 130 + 31*h - 257 in the form y + u*h and give y. 2 Express (416 + 716 - 464)*(-2 + 2 + 3*a + (0*a - 2*a + 4*a)*(2 + 0 - 1) + 8 + 2*a - 8) as z + s*a and give s. 4676 Rearrange (-2 + 6 - 2)*(0*f - 2*f + 4*f + (-4 + 3 - 1)*(-4*f + 4*f - f) + 0*f + 2*f + 0*f + 160 + 17*f - 14*f + 61) to j*f + q and give q. 442 Rearrange 521*v - 520*v + 5608*v**2 - 1597*v**2 to the form p*v + n*v**2 + s and give n. 4011 Express (68*o - 3205 - 14*o + 3160)*(2*o**2 + o**2 - 5*o**2) in the form q + m*o**2 + y*o + p*o**3 and give p. -108 Express -17590 + 35182 - 4*z**3 - 17593 + 17*z in the form r*z**3 + w + j*z**2 + u*z and give r. -4 Express -2856*g + 2856*g - 4590*g**2 as o*g + n*g**2 + l and give n. -4590 Rearrange -221*k + 0*k**3 + 110*k + k**3 - 152*k**2 + 29 + 111*k to n*k + q*k**2 + z + p*k**3 and give q. -152 Rearrange (2 + 1 + 0)*(50*l + 28*l + 51*l)*(6*l**2 - 3*l**2 - 2*l**2)*(-4*l + l + l) to x*l + s*l**4 + p*l**3 + c + d*l**2 and give s. -774 Rearrange (-30 - 7*g + 30)*(-3136 - 3123 - 236*g**3 + 6250) to u + j*g**4 + i*g**2 + k*g**3 + o*g and give j. 1652 Rearrange (4*u - 6*u + 3*u)*(3339 + 2682 + 120) to b*u + h and give b. 6141 Express (-35 + 35 - 13*n)*(-81 - 76 + 139) in the form a*n + q and give a. 234 Express 195*x**3 + 4 + 3*x - 2 - 201*x**3 - 20 in the form q + z*x**3 + w*x + a*x**2 and give a. 0 Express 1708*n**4 + 53*n**3 + 248*n**3 - 1707*n**4 + 0*n**2 + 2 - n**2 - n in the form w*n**2 + i*n**3 + m*n**4 + s + a*n and give i. 301 Rearrange (30 + 18 - 41)*(5*i - 2*i - 2*i) + (-112*i + 239*i - 114*i)*(4 + 1 + 0) to a + l*i and give l. 72 Rearrange 17*n + 3*n + 19*n - n - 4 + 4 + (3 + 2 - 3)*(4*n - 4*n + n) - 2*n + 3*n + 0*n - 4*n - 4*n + n to s*n + o and give o. 0 Express 46 - 95 + 51 + a**4 + a**4 + 0*a**4 + 800*a**3 as u + r*a**4 + m*a**3 + q*a + p*a**2 and give r. 2 Rearrange (2 - 2 - 1)*(8273*k + 2939*k + 4422*k + 12766*k + 7345*k + 5005*k) to the form y*k + s and give y. -40750 Rearrange (11*j - 4*j + 2*j)*(-337300 + 272*j + 337300) - 4*j**2 - 4*j + 4*j to the form u + i*j**2 + t*j and give i. 2444 Express 2*x**4 - 39*x**3 - 3203 + 1598 + 1604 + 112*x**2 + 2*x - x**4 as y*x**3 + l + k*x + n*x**2 + d*x**4 and give k. 2 Express -4*s**2 - 10*s**3 + 566*s + 12*s**3 + 1
{ "pile_set_name": "DM Mathematics" }
ppose -4*k + 6 = 10. What is r(k)? -6 Let u(s) be the third derivative of s**5/20 + s**3/6 + s**2. Let z = -3 + 6. Suppose -k - 4*m = 3*k, 3 = z*m. Give u(k). 4 Let n(p) = -p**2 + 8*p - 8. Let l(z) = z**3. Suppose r - 6*o = -3*o - 1, -r - 1 = o. Let u be l(r). Let v be (-5)/((-5)/(-6))*u. What is n(v)? 4 Suppose 29 = 2*j - 5*k + 3, -4*k = 16. Let v(c) be the first derivative of 1/2*c**2 - j*c + 1. Calculate v(3). 0 Let q(w) be the second derivative of -w**5/20 + w**4/3 + w**3 - w - 52. Let r be 0 - (-1)/(1/4). Suppose -r*a + 10 = -10. What is q(a)? 5 Let y(m) = 269 - 269 + 3*m**2 - m. Let t(l) = -l**3 - 5*l**2 - 3*l + 3. Let q be t(-4). What is y(q)? 4 Let q(t) = t**2 + 10*t + 8. Let j be q(-9). Let b(v) = 8*v**2 + 4. Let x be (-4)/(-16) + 10/(-8). Let o(r) = r**2 + 1. Let p(u) = x*b(u) + 4*o(u). What is p(j)? -4 Let m(h) = -h + 9. Let z be (0 - 6) + (-2)/2. Let n be 16/2*(-3)/2. Let c = z - n. What is m(c)? 4 Let u(r) = -2*r**2 - 2*r - 1. Let j be -1 + 0 - 5/5. Let b = j + 3. Suppose -4*x - 3 = b. What is u(x)? -1 Let m = 6 + -4. Let q(f) = 0 - m + 3*f - 3*f + f. What is q(-4)? -6 Let q(g) = g**2 + 4*g. Suppose -k + 20 = -5*k. Calculate q(k). 5 Let y(u) = -2*u + 1. Let i be (-46)/(0 - (0 - -2)). Let b = i + -20. Calculate y(b). -5 Let y(k) = -k. Let j(s) = -6*s - 2. Let v(b) = -j(b) + 3*y(b). What is v(-2)? -4 Let a(p) = -p**2 - p - 8. Suppose 0 = -2*y + 2*o + 12, -4*o + 27 = 5*y - 3. Suppose -3*l + 4*l - 3*c = 6, -5*l - 3*c = y. What is a(l)? -8 Let j(l) = -l**3 - 4*l**2 + 5*l + 6. Suppose 4*g - v + 15 = 0, -3*g - 36 + 6 = 3*v. Give j(g). 6 Let w(m) be the second derivative of -m**5/20 - 5*m**4/12 + 7*m**3/6 + m**2/2 + 7*m. Determine w(-6). -5 Let a(c) = 7*c**2 + 9*c + 9. Let p(l) = 3*l**2 + 4*l + 4. Let j(k) = 4*a(k) - 9*p(k). Let f be (3/9)/((-1)/(-9)). Let q be 8/(-6) + 1/f. Determine j(q). 1 Let j(k) = k**3 - 3*k**2 - 5*k + 3. Suppose -2*f = -3*f - 6. Let b(t) = -t**2 - 8*t - 8. Let u be b(f). What is j(u)? -1 Let h(g) be the first derivative of g**2/2 - 5*g + 1. What is h(6)? 1 Let a(j) be the second derivative of j**6/120 + j**5/15 - j**4/12 - 2*j**3/3 - j**2/2 + 3*j. Let p(h) be the first derivative of a(h). What is p(-4)? 4 Let f(s) = 2*s - 2. Let y = -42 - -39. Calculate f(y). -8 Let j(d) = d**2 + 6*d - 4. Let n be j(-7). Suppose 0 = -o + n. Let h(m) = m**3 - 2*m**2 - 4*m + 3. Give h(o). 0 Let p(k) be the second derivative of 0*k**3 + 0*k**2 - 4*k + 0 + 1/12*k**4. What is p(-2)? 4 Let k(w) = 7*w**3 + 8*w**2 - 15*w + 3. Let o(j) = 4*j**3 + 4*j**2 - 8*j + 1. Let t = -2 + -1. Let s(p) = t*k(p) + 5*o(p). Determine s(-5). -4 Suppose -4*s + 1 = -3*z + 2, -4*z - s + 14 = 0. Let j(x) = -x + 3. Calculate j(z). 0 Let s be 2/(-6)*(-78)/(-52) - -1. Let g(z) be the first derivative of s*z**2 - 3 + 5*z. What is g(-5)? 0 Suppose -4*g + 5 = -d, 2*g - 5*g = 5*d - 21. Let r(b) = 2*b - 3*b + g - 2 - 1. Determine r(-3). 2 Let p(o) = -o - 5. Let f = 3 - 4. Let l be f/((-3)/(-21) + 0). Calculate p(l). 2 Let s(r) = -r**3 + 4*r**2 + r - 5. Let t be s(4). Let o(h) = -8*h - 6*h**2 + 2*h + 5*h + 2*h. Give o(t). -7 Suppose 3*s - 6*s = 18. Let d(f) = f**2 + 4*f - 6. Determine d(s). 6 Suppose -2*g - 10 = -4*h, -2*g - 5*h + 12 = 4. Let v(s) = s + 1. Let p(r) = -5. Let l(q) = -p(q) - 6*v(q). Calculate l(g). 5 Let p(m) = 10*m + 64. Let d be p(-6). Let o(h) be the second derivative of d*h + 0 + 1/6*h**3 - h**2. What is o(6)? 4 Let h = 20 + -12. Let n be 4/h*(-1 + 7). Let r(m) be the second derivative of -m**5/20 + m**4/4 + m**3/6 + 3*m**2/2 - m. What is r(n)? 6 Let m(t) = 10*t. Let r(d) = 2*d**2 - 1. Let a(o) = -o**2 - 3*o + 1. Let v be a(-3). Let z be r(v). Give m(z). 10 Let i(b) = b**3 + 6*b**2 + 6. Let d(f) = -3*f - 6. Let l be d(0). Give i(l). 6 Let w(i) = -6*i + 1. Let d = -3 - -8. Let c = -2 + d. Let m(g) = 7*g - 1. Let s(y) = c*m(y) + 4*w(y). Give s(1). -2 Let y(r) = r**2 + 7*r - 10. Let j(x) = 2*x**2 - 2*x - 9. Let i be j(0). Determine y(i). 8 Let p(n) = -4*n**3 + 6*n**2 + 6*n + 7. Let c(s) = 5*s**3 - 7*s**2 - 7*s - 8. Let d(z) = -3*c(z) - 4*p(z). Give d(4). 0 Let i(h) = -11*h**2 - 7*h + 12. Let r(l) = -4*l**2 - 2*l + 4. Let f be 24/(0 - 3/(-3)). Suppose -f = -2*n - n. Let q(k) = n*r(k) - 3*i(k). Determine q(-5). -4 Let q(d) = -d + 7. Suppose -14 = -3*c + 4. Let l be ((-4)/c)/((-3)/27). What is q(l)? 1 Let v = -5 - -5. Let n(h) = -h - 3. Let i(s) = -1. Let r(g) = 2*i(g) + n(g). What is r(v)? -5 Let n(c) be the third derivative of -c**6/360 + c**4/24 - 3*c**2. Let s(r) be the second derivative of n(r). Determine s(-1). 2 Let n(v) = 2*v**2 - v**2 + 23*v - 31*v + 6. Determine n(6). -6 Let p = 33 + -25. Let a(c) = -c**3 + 8*c**2 - c + 4. Determine a(p). -4 Let x = 2 - -1. Let i(u) be the second derivative of -u**3/6 + u**2 - 4*u. Calculate i(x). -1 Let h(l) = -l**2. Let j(u) = -u**3 + 6*u**2 - 1. Let b be j(6). Let o(w) = -w**3 - 2*w - 7. Let n(a) = b*o(a) - 6*h(a). Give n(-6). -5 Let s be (-2)/(-15) - 4/30. Let r(o) = -o - 5. Determine r(s). -5 Suppose -5*f - 9 = -3*d, -2*d - d + f + 9 = 0. Let g(a) = a**2 - 3*a - 1. What is g(d)? -1 Let d(f) = -7*f**2 + 4*f**3 + 6 + 3 - 6*f + 15*f - 5*f**3. What is d(-8)? 1 Suppose 5*x = -5*x + 6*x. Let r(u) = -5*u - u**2 + 4*u - 5 + 0*u. What is r(x)? -5 Suppose 16 = 8*i - 24. Let m(u) = -5*u. Let c(t) = -6*t. Let w(s) = 3*c(s) - 4*m(s). Determine w(i). 10 Let d(s) = -13*s + 5*s + 9*s + 10 - 3. Determine d(-4). 3 Let w(y) = -y + 19. Let n be w(13). Suppose -n - 2 = 4*r. Let k(m) = 2*m**3 + 3*m**3 + 2 + 2*m**2 - 3*m**3 + m. What is k(r)? -8 Let t(a) = -a**3 - 5*a**2 + a + 1. Suppose n + 55 = 4*c + c, 3*n = -2*c + 5. Let k be (-1)/5 + (-48)/c. Calculate t(k). -4 Let j(q) = q + 4 - q - q**3 - 3*q - 4*q**2. Let r be 1/(-6) + 65/30. Let p be r + -2 + 0 - 3. What is j(p)? 4 Suppose 5*r - 8 = 7. Let n(a) = -a**2 + r - a + 4*a - a. Suppose 0 = -3*g + 8*g - 20. What is n(g)? -5 Let i(o) = 2*o**2 - 5*o + 4 - 8*o**2 + 4*o**2 + o**3. Give i(4). 16 Let r(q) = 2*q + 4. Let h be 40/6*(-6)/4. Let l be ((-4)/(-10))/(h/100). Give r(l). -4 Let v(d) = 2*d**3 + 4*d**2 + d - 2. Let o(b) be the second derivative of 0 + 1/20*b**5 + 7/12*b**4 - 9/2*b**2 - b - 1/6*b**3. Let q be o(-7). Determine v(q). -4 Suppose 15 = 2*m + 3*m. Let n = 4 - m. Let x(a) = 9*a + 17. Let w(j) = j + 2. Let q(p) = 51*w(p) - 6*x(p). Give q(n). -3 Let r(z) = z**3 - 7*z**2 + 4*z - 7. Let o(y) = -2*y**3 + 15*y**2 - 9*y + 15. Let d(j) = -3*o(j) - 7*r(j). Give d(4). 0 Let i = -1 - -3. Let m be i - (0 + 0 + -2). Suppose -2*f = c - 8, 0 = 3*c + m*f - 2*f - 4. Let q(k) = k**3 + 2*k**2 - 3*k - 3. Give q(c). 3 Let b(f) = -3*f + 9. Let v(r) = r - 2. Let t(d) = 2*b(d) + 9*v(d). Let l(x) = -x**3 - 3*x**2 - 1. Let n be l(-3). What is t(n)? -3 Let h(j) = -j**3 + 6*j**2 - 6*j + 7. Let f = -6 - -11. Calculate h(f). 2 Let b(k) = k**3 + 2*k + 5*k**2 - 2*k**3 - 5*k. Let n = 12 + -9. Suppose 3 = -4*i + i, -n*i = 3*o - 9. What is b(o)? 4 Let n(i) = i**2 - 2*i - 4. Let a be 1 - (-5)/(10/8). Suppose -a = 3*l + 10. Let p be (l/((-5)/(-8)))/(-2). Determine n(p). 4 Let j(r) be the second derivative of -r**3/6 + 3*r**2/2 - 14*r. Give j(-4). 7 Let q(n) = n**2 + 3*n - 7. Let z be ((-4)/(-3))/((-10)/(-60)). Let t = 3 - z. What is q(t)? 3 Let v(a) = a**3 - a**2 - 8 - 3 - 1. Let u(o) = -o**2 - 1. Let m(h) = 6*u(h) - v(h). Determine m(-5). 6 Let j(w) = 2*w**2 + 1. Suppose -p + 10 = -0*l + 3*l, 0 = -2*l + 4. Suppose c - 5 = -p*c. What is j(c)? 3 Suppose -10*k + 10 = -9*k. Let o(g) = -5 + k*g - 6*g - 3*g. Determine o(4). -1 Let u(x) be the second derivative of x**5/4 - x**4/6 + x**2/2 - 3*x. Suppose -3*v - 3 = 0, 1 = 5*f + 3*v - 1. Determine u(f). 4 Suppose 0*p = -3*p - 18. Let a = p + 7. Let m(j) = -7*j + 1. What is m(a)? -6 Let h = -3 - -3. Suppose -q + h = -2. Let z(k) = q*k - k**2 + 4*k**3 - 4*k + 3*k - 12*k**3 + 1. Determine z(-1). 7 Let a(m) = m**3 + 3*m**2 - 1. Let g be a(-3). Let h(b) be the third derivative of b**5/30 + b**3/6 - 3*b**2. Determine h(g). 3 Let i be ((-1)/2)/((-14)/364). Let t = i - 7. Let d(g) = -3*g + 6. Determine d(t). -12 Let d be (16/20)/((-4)/30*-3). Let w(n) = n**3 - 2*n**2 + 3*n - 1. Determine w(d). 5 Let i(w) = -3*w**2 + 16*w + 15. Let x be i(-1). Let q(y) = -y + 5. Let j = -8 + 11. Let d(m) = -1. Let f(g) = j*d(g) + q(g). Give f(x). 6 Let v(d) = -4*d**2 + 24*d - 4. Let c b
{ "pile_set_name": "DM Mathematics" }
49518126? 7 What is the units digit of 190104951? 1 What is the tens digit of 812290919? 1 What is the units digit of 163994274? 4 What is the thousands digit of 89156343? 6 What is the tens digit of 406960992? 9 What is the hundred millions digit of 1014845150? 0 What is the ten thousands digit of 13112360? 1 What is the billions digit of 3002354175? 3 What is the hundred thousands digit of 135258890? 2 What is the hundred thousands digit of 214631422? 6 What is the hundreds digit of 468284091? 0 What is the ten thousands digit of 746286928? 8 What is the ten millions digit of 67779598? 6 What is the millions digit of 76354603? 6 What is the units digit of 73095384? 4 What is the billions digit of 1788908374? 1 What is the ten millions digit of 72232728? 7 What is the tens digit of 192325893? 9 What is the millions digit of 1868110888? 8 What is the ten millions digit of 107390371? 0 What is the thousands digit of 1398504999? 4 What is the ten thousands digit of 841262419? 6 What is the hundreds digit of 34583552? 5 What is the tens digit of 133631783? 8 What is the hundred millions digit of 1178696201? 1 What is the tens digit of 319666295? 9 What is the thousands digit of 85162529? 2 What is the hundreds digit of 378848552? 5 What is the ten millions digit of 5036843216? 3 What is the hundreds digit of 28347816? 8 What is the tens digit of 1270701280? 8 What is the ten millions digit of 156867821? 5 What is the hundred thousands digit of 72511891? 5 What is the tens digit of 304387276? 7 What is the millions digit of 99490757? 9 What is the ten millions digit of 82999002? 8 What is the thousands digit of 75164570? 4 What is the ten millions digit of 70321745? 7 What is the tens digit of 77521560? 6 What is the ten thousands digit of 2706518193? 1 What is the ten millions digit of 303606730? 0 What is the thousands digit of 66020? 6 What is the tens digit of 14308808? 0 What is the thousands digit of 6950951659? 1 What is the tens digit of 16203223? 2 What is the millions digit of 46536470? 6 What is the hundred thousands digit of 7112434436? 4 What is the hundred thousands digit of 60629495? 6 What is the millions digit of 894283425? 4 What is the thousands digit of 16585142? 5 What is the tens digit of 4893854693? 9 What is the units digit of 330560765? 5 What is the tens digit of 545553848? 4 What is the thousands digit of 44949193? 9 What is the tens digit of 2789905732? 3 What is the hundreds digit of 66025009? 0 What is the ten thousands digit of 8465466? 6 What is the hundreds digit of 174976? 9 What is the hundreds digit of 103410635? 6 What is the ten thousands digit of 4675669180? 6 What is the units digit of 1719455241? 1 What is the hundreds digit of 10772027? 0 What is the ten millions digit of 175450302? 7 What is the ten millions digit of 105796378? 0 What is the ten millions digit of 864206356? 6 What is the tens digit of 85697059? 5 What is the ten thousands digit of 1047216483? 1 What is the ten millions digit of 499861427? 9 What is the hundreds digit of 13151518? 5 What is the units digit of 929114543? 3 What is the hundred thousands digit of 41202934? 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{ "pile_set_name": "DM Mathematics" }
*c**4 + 0*c + 1/60*c**5 - 7*c**2. Find the third derivative of w(q) wrt q. 384*q Find the second derivative of z**2 + 11*z**2 - 37*z**3 - 20*z**2 + 33 + 3*z + 9*z**2 wrt z. -222*z + 2 Find the third derivative of 384*d**5 - 103*d**2 + 46*d**2 + 52*d**2 wrt d. 23040*d**2 Let v = -347 + 347. Let x(u) be the third derivative of 0*u**5 - 1/30*u**6 + 1/12*u**4 - 9*u**2 + 0*u + v*u**3 + 0. Find the second derivative of x(t) wrt t. -24*t Let h = -561 + 561. Let o(j) be the second derivative of 0*j**2 - 5*j + h + 5/6*j**3 + 1/3*j**4. Find the second derivative of o(i) wrt i. 8 Suppose -z - 2*z + 4*g - 26 = 0, -z + 3*g = 17. Let t(f) = 2*f**2 - 3. Let i be t(z). What is the third derivative of -6*q**i - 93*q + 2*q**2 + 93*q wrt q? -360*q**2 Let m(l) be the second derivative of 139*l**6/5 + 13*l**3/3 - 7*l**2/2 - 37*l. Find the second derivative of m(f) wrt f. 10008*f**2 What is the third derivative of 4*l + 25*l**2 - 156*l**3 - 4*l + 76*l**3 wrt l? -480 Let q(m) be the first derivative of -m**10/1680 - 2*m**6/45 - 2*m**3 + 13. Let b(v) be the third derivative of q(v). What is the third derivative of b(z) wrt z? -360*z**3 Let f(t) be the second derivative of -79*t**4/12 + t**3/3 + 73*t**2 - 29*t + 1. Find the first derivative of f(k) wrt k. -158*k + 2 Let j(w) be the second derivative of -73*w**7/42 - w**4/12 - 49*w**3/2 - 94*w. Find the second derivative of j(f) wrt f. -1460*f**3 - 2 Let w(t) be the third derivative of t**9/2160 - 19*t**5/120 - 7*t**4/8 - 19*t**2. Let a(p) be the second derivative of w(p). Differentiate a(g) wrt g. 28*g**3 What is the second derivative of -m**5 - 20*m**3 - 48*m**2 + 20*m**3 - 7*m**2 + 147*m wrt m? -20*m**3 - 110 Let w(d) = -d**2 - 9*d. Let f = -25 - -18. Let z be w(f). What is the first derivative of -4 + 8*o + 4*o - z*o wrt o? -2 Let w(u) be the second derivative of -42*u**6/5 - 171*u**2/2 + 160*u. Differentiate w(l) with respect to l. -1008*l**3 Let u(d) be the third derivative of -37*d**8/168 + d**5/20 + 13*d**3/6 - 6*d**2 + 2*d. Find the third derivative of u(v) wrt v. -4440*v**2 Let h(j) = -j + 1. Let n(b) = 142*b**3 + 6*b + 7. Let d(f) = -2*h(f) - n(f). What is the second derivative of d(i) wrt i? -852*i Let b = -27 - -29. Suppose -b*o + 0 = -4. Find the third derivative of -5*a - 10*a**2 + 5*a**o + 5*a - 7*a**5 wrt a. -420*a**2 Let f(s) be the first derivative of 7*s**5/5 + s**4/2 - 526*s - 329. What is the derivative of f(u) wrt u? 28*u**3 + 6*u**2 Let s(t) = -t**4 + t**3 - t - 1. Let u(g) = -111*g**4 + 2*g**3 - 2*g - 47. Let h(q) = 2*s(q) - u(q). Differentiate h(a) with respect to a. 436*a**3 What is the second derivative of -795*r - 577455*r**2 - 599*r**3 + 577455*r**2 wrt r? -3594*r What is the third derivative of -162*z**3 + 31*z**4 + 74*z**3 - 68*z**2 + 91*z**3 wrt z? 744*z + 18 Suppose 13*v - 5*v = 0. Let y(j) be the third derivative of 0*j - 2/3*j**3 + 0 + 2/15*j**5 + 5*j**2 + v*j**4. Differentiate y(n) wrt n. 16*n Let z(p) be the second derivative of p**4/6 + 7*p**3/3 + 107*p**2/2 - 182*p. Differentiate z(b) with respect to b. 4*b + 14 Let p be (-6)/(-4)*(-156)/(-18). What is the second derivative of 13 + 13*s**2 - s - p wrt s? 26 Let n(h) be the third derivative of 0*h**3 + 0 + 13/336*h**8 - 4/15*h**5 + 0*h**7 + 0*h + 10*h**2 + 0*h**6 + 0*h**4. What is the third derivative of n(r) wrt r? 780*r**2 Let y(d) be the second derivative of -5*d**4/2 + d**3/6 - 141*d**2 - 152*d. Differentiate y(r) wrt r. -60*r + 1 Let o = 3 - -2. Let q(g) = -9*g**3 + 5*g**2 - 6*g. Let t(s) = -10*s**3 + 6*s**2 - 7*s. Let b(z) = o*t(z) - 6*q(z). Find the second derivative of b(u) wrt u. 24*u Let a(i) = -i**3 + 10*i**2 - i + 17. Let k be a(10). Differentiate -5 + 4*r**2 - k + 8 - 2*r**2 wrt r. 4*r Let t(d) = 3*d - 4*d - 3*d - d**2 - 5 - 3*d. Let r be t(-5). Find the first derivative of 8*a + 1 - 4 - r*a wrt a. 3 Let s = 2 + 5. Suppose -6 = q + 2*c, -q + s = -c - 2. What is the third derivative of -5*d**q + d**4 + 4*d**2 + 4*d**4 + 4*d**4 wrt d? 96*d Let g(z) = -15*z**4 + 3*z**2 - 40*z + 3. Let t(q) = 43*q**4 - 8*q**2 + 120*q - 8. Let j(a) = -8*g(a) - 3*t(a). Find the second derivative of j(w) wrt w. -108*w**2 What is the second derivative of 5*k**4 - 10*k**3 - 129*k - 10*k**4 + 12*k**4 + 8*k**3 wrt k? 84*k**2 - 12*k Find the third derivative of -2*g - 68*g**3 - 2*g**5 + 10*g - 133*g**3 + 4*g**2 - 11*g**3 - 85*g**3 wrt g. -120*g**2 - 1782 Let y be 34/10 + 9/15. Suppose g = m - 2 + y, -g + 20 = 5*m. Find the third derivative of -j**2 - 3*j**3 - m*j**2 + 12*j**2 wrt j. -18 Let f(b) be the second derivative of 99*b**7/14 + 15*b**4 + 2*b - 90. Find the third derivative of f(x) wrt x. 17820*x**2 Let c(y) = 5 + 7 + 2*y - 9. Let n(s) = -s - 2. Let h(v) = 3*c(v) + 5*n(v). What is the first derivative of h(z) wrt z? 1 Differentiate 131 + 760*t**2 - 558 - 213*t**2 + 85*t**2 - 129 wrt t. 1264*t Let s(z) be the first derivative of -17*z**5/120 - z**4/24 + 13*z**3/3 - 24. Let a(f) be the third derivative of s(f). Differentiate a(p) with respect to p. -17 Find the third derivative of -88*t**2 + 138*t**5 + 141*t**3 - 141*t**3 wrt t. 8280*t**2 Let j = -16 + 18. Suppose -3*h - 5*b = -3*b - 52, -j*h - 4*b + 32 = 0. Differentiate -36 + 13 + h + 2*w wrt w. 2 Let p(r) = -43*r**4 - 2*r**2 + 65*r - 2. Let f(h) = 87*h**4 + 5*h**2 - 130*h + 5. Let g(q) = 2*f(q) + 5*p(q). Find the second derivative of g(l) wrt l. -492*l**2 Find the second derivative of -5629 - 60*t + 2814 + 666*t**4 + 2813 wrt t. 7992*t**2 Let j be (6/(-9))/((-1)/3). Suppose 0 = -2*s + 7*s. What is the first derivative of -1 + s*y**2 - y**2 - 2*y**2 - j wrt y? -6*y What is the first derivative of 4*v - 265 + 2*v**3 + 0*v**3 - 4*v + 16*v**2 + 22 wrt v? 6*v**2 + 32*v Let y(x) = -14*x**3 + 3*x**2 - 6*x + 373. Let q(o) = -2*o**3 + o**2 - o - 1. Let a(k) = -6*q(k) + y(k). Differentiate a(v) wrt v. -6*v**2 - 6*v Suppose 4*l - 11 = -3. Suppose -3*d - l + 33 = 5*n, 3*d - 4*n + 14 = 0. Differentiate -5*h**d + 2*h**2 + 0*h**2 - 2*h**2 - 4 wrt h. -10*h Let j(i) = 2*i**2 - 17*i - 17. Let v(s) = 3*s**2 - 16*s - 17. Let z(l) = 5*j(l) - 6*v(l). Let o(w) be the first derivative of z(w). Differentiate o(g) wrt g. -16 Let l(r) be the first derivative of 7*r**6/15 + 17*r**3/6 + 13*r - 25. Let z(w) be the first derivative of l(w). What is the second derivative of z(c) wrt c? 168*c**2 Suppose 0*w - 5*w = -15. Suppose 5*y - 26 = 4*a, -2*a + 3*a + 10 = w*y. Find the second derivative of 9*q**5 + 3*q - 2*q**5 - y*q**5 - 2*q wrt q. 100*q**3 Let f(m) be the second derivative of m**6/15 - 8*m**3/3 + 87*m**2 - 31*m + 7. Find the first derivative of f(h) wrt h. 8*h**3 - 16 Let h(f) be the first derivative of 2*f**3/3 + 191*f**2 - 169*f - 94. Differentiate h(q) wrt q. 4*q + 382 What is the third derivative of -n - 789*n**2 - 26317*n**3 + 25736*n**3 + n wrt n? -3486 Let c(b) be the first derivative of 7*b**6/15 - 10*b**2 - 14*b + 21. Let n(l) be the first derivative of c(l). Find the first derivative of n(p) wrt p. 56*p**3 Let t be ((-2)/3)/(1/3). Let l be (-1)/3*(t + -4). What is the second derivative of 16*p**2 - 16*p**l + p + 4*p - 5*p**4 wrt p? -60*p**2 Let g be -3*(-5)/15 - -1. Differentiate -2 - 5 - 23*f**2 + 48*f**g with respect to f. 50*f Find the third derivative of 338*r**4 + 1787662*r - 1787662*r - 514*r**2 - 2*r**3 wrt r. 8112*r - 12 Let g(a) be the second derivative of 0*a**3 + 0*a**4 + 0 + 6*a**2 + 0*a**5 - 3/10*a**6 - 12*a. Differentiate g(c) wrt c. -36*c**3 What is the third derivative of -10*w**2 - 16*w**5 - 48*w**2 + 152*w**4 - 4*w**2 + 14*w**5 wrt w? -120*w**2 + 3648*w Let w(s) be the second derivative of 28*s + 0*s**3 + 9/10*s**5 + 11/2*s**2 + 0*s**4 + 0. What is the first derivative of w(h) wrt h? 54*h**2 Suppose 4*z + 9 - 33 = 4*j, -3*j = -5*z + 16. Let l(k) = k**2 + 6*k - 3. Let g be l(j). What is the third derivative of 3*p + 8*p**g - 4*p - p**2 + p wrt p? 192*p Let q be 166/18 - 2/9. What is the second derivative of q*p**2 - 17*p - 8*p**3 - 9*p**2 + 4*p wrt p? -48*p Find the third derivative of -945*y + 522*y**2 - 818*y**3 + 1881*y - 936*y wrt y. -4908 What is the second derivative of -3 + 186*j + 2 - 247*j + 148*j**3 + 0 wrt j? 888*j Let r(n) be the third derivative of n**7/105 - 7*n**6/120 + 11*n**4/24 + 207*n**2 + 2*n. Find the second derivative of r(b) wrt b. 24*b**2 - 42*b What is the
{ "pile_set_name": "DM Mathematics" }
077123, -13615685, -18154247, -22692809, -27231371? -4538562*c + 1 What is the u'th term of 364102, 728212, 1092322? 364110*u - 8 What is the u'th term of 52868031, 105736055, 158604079, 211472103, 264340127? 52868024*u + 7 What is the q'th term of 6116629, 6116609, 6116589, 6116569, 6116549? -20*q + 6116649 What is the t'th term of -755, -2380, -5247, -9362, -14731, -21360? -t**3 - 615*t**2 + 227*t - 366 What is the o'th term of -10055658, -10055659, -10055660, -10055661? -o - 10055657 What is the u'th term of 49918699, 49918694, 49918689, 49918684, 49918679? -5*u + 49918704 What is the a'th term of 283744, 283745, 283744, 283741, 283736, 283729? -a**2 + 4*a + 283741 What is the v'th term of -614848, -614900, -614982, -615100, -615260? -v**3 - 9*v**2 - 18*v - 614820 What is the y'th term of 34803990, 69607978, 104411960, 139215936? -3*y**2 + 34803997*y - 4 What is the a'th term of 19972, 22190, 24408, 26626? 2218*a + 17754 What is the y'th term of -2235292, -4470589, -6705886, -8941183, -11176480, -13411777? -2235297*y + 5 What is the t'th term of -263036, -263017, -262998, -262979, -262960? 19*t - 263055 What is the l'th term of 3311, 5745, 9783, 15425, 22671? 802*l**2 + 28*l + 2481 What is the i'th term of 893161, 1786313, 2679465, 3572617? 893152*i + 9 What is the v'th term of -14817, -28354, -41891, -55428, -68965? -13537*v - 1280 What is the d'th term of 26945, 26861, 26763, 26651? -7*d**2 - 63*d + 27015 What is the v'th term of -11784, -46350, -103960, -184614, -288312, -415054? -11522*v**2 - 262 What is the r'th term of 52029, 52279, 52529, 52779, 53029? 250*r + 51779 What is the w'th term of -2113902, -4227513, -6341124, -8454735? -2113611*w - 291 What is the h'th term of -18206, -22130, -28668, -37820, -49586, -63966, -80960? -1307*h**2 - 3*h - 16896 What is the o'th term of -15600, -31331, -47068, -62811, -78560, -94315? -3*o**2 - 15722*o + 125 What is the a'th term of 5244, 7973, 10702, 13431, 16160? 2729*a + 2515 What is the p'th term of -2871, -10859, -24175, -42819? -2664*p**2 + 4*p - 211 What is the n'th term of -4, -902, -2530, -4996, -8408, -12874? -18*n**3 - 257*n**2 - n + 272 What is the z'th term of -6906267, -13812536, -20718805, -27625074, -34531343? -6906269*z + 2 What is the c'th term of -978, -526, 228, 1284, 2642, 4302, 6264? 151*c**2 - c - 1128 What is the p'th term of -1002, -2116, -3624, -5730, -8638, -12552? -34*p**3 + 7*p**2 - 897*p - 78 What is the y'th term of -66374768, -66374765, -66374762, -66374759? 3*y - 66374771 What is the r'th term of -4236, -17190, -38822, -69132? -4339*r**2 + 63*r + 40 What is the f'th term of -653976, -653986, -653996, -654006? -10*f - 653966 What is the x'th term of 10097222, 20194439, 30291654, 40388867, 50486078, 60583287, 70680494? -x**2 + 10097220*x + 3 What is the i'th term of 7499547, 29998202, 67495963, 119992830? 7499553*i**2 - 4*i - 2 What is the f'th term of 36641, 146887, 330631, 587873, 918613? 36749*f**2 - f - 107 What is the k'th term of -364821200, -729642400, -1094463600, -1459284800, -1824106000, -2188927200? -364821200*k What is the k'th term of 5683, 45403, 153197, 363103, 709159, 1225403, 1945873, 2904607? 5673*k**3 - k**2 + 12*k - 1 What is the m'th term of -467395, -934658, -1401921? -467263*m - 132 What is the u'th term of -4637753, -18551018, -41739789, -74204060, -115943825, -166959078, -227249813, -296816024? u**3 - 4637759*u**2 + 5*u What is the i'th term of 28704, 62239, 95774? 33535*i - 4831 What is the k'th term of -704027, -704210, -704391, -704570? k**2 - 186*k - 703842 What is the d'th term of 4101424, 16405632, 36912646, 65622466? 4101403*d**2 - d + 22 What is the h'th term of -58175, -116241, -174321, -232409, -290499, -348585? h**3 - 13*h**2 - 58034*h - 129 What is the x'th term of -516847035, -1033694068, -1550541101, -2067388134, -2584235167? -516847033*x - 2 What is the i'th term of 35636457, 35636465, 35636475, 35636487, 35636501, 35636517? i**2 + 5*i + 35636451 What is the y'th term of 568801, 568660, 568425, 568096, 567673? -47*y**2 + 568848 What is the l'th term of -3383064, -3383056, -3383052, -3383058, -3383080? -l**3 + 4*l**2 + 3*l - 3383070 What is the x'th term of -14146970, -14146978, -14146986? -8*x - 14146962 What is the y'th term of 2416420, 4832837, 7249254, 9665671, 12082088? 2416417*y + 3 What is the t'th term of 55578, 56260, 56942, 57624? 682*t + 54896 What is the b'th term of -4624126, -4624122, -4624118, -4624114? 4*b - 4624130 What is the t'th term of -6882679, -13765360, -20648043, -27530728, -34413415? -t**2 - 6882678*t What is the o'th term of 259, 957, 2105, 3715, 5799, 8369? 2*o**3 + 213*o**2 + 45*o - 1 What is the p'th term of -8522953, -17045918, -25568891, -34091872? -4*p**2 - 8522953*p + 4 What is the i'th term of -2024293, -4048547, -6072801? -2024254*i - 39 What is the u'th term of 662, 3880, 9244, 16754, 26410, 38212? 1073*u**2 - u - 410 What is the l'th term of -741474, -742252, -743546, -745356? -258*l**2 - 4*l - 741212 What is the i'th term of 3510069, 7020078, 10530085, 14040090, 17550093, 21060094, 24570093? -i**2 + 3510012*i + 58 What is the j'th term of 77614, 151925, 226236, 300547, 374858, 449169? 74311*j + 3303 What is the n'th term of -51762, -102587, -153412? -50825*n - 937 What is the s'th term of -1530414, -1530414, -1530416, -1530420, -1530426? -s**2 + 3*s - 1530416 What is the s'th term of 3336503, 3336504, 3336505, 3336506? s + 3336502 What is the q'th term of -3702905, -7405808, -11108711? -3702903*q - 2 What is the y'th term of -3463303, -6926578, -10389849, -13853116, -17316379, -20779638? 2*y**2 - 3463281*y - 24 What is the q'th term of -40773, -72002, -103231, -134460? -31229*q - 9544 What is the a'th term of -17473, -34814, -52147, -69472, -86789, -104098, -121399? 4*a**2 - 17353*a - 124 What is the n'th term of -7111201, -14222399, -21333597, -28444795, -35555993, -42667191? -7111198*n - 3 What is the m'th term of -1551, -3356, -5411, -7710, -10247, -13016, -16011? m**3 - 131*m**2 - 1419*m - 2 What is the z'th term of 73, 653, 1791, 3625, 6293, 9933? 23*z**3 + 141*z**2 - 4*z - 87 What is the f'th term of 621901, 1243826, 1865751, 2487676, 3109601? 621925*f - 24 What is the r'th term of 46371, 46462, 46553, 46644? 91*r + 46280 What is the s'th term of 1057, 2681, 4305? 1624*s - 567 What is the h'th term of -2524863, -5049703, -7574483, -10099173, -12623743, -15148163, -17672403? 5*h**3 - 2524875*h + 7 What is the g'th term of 49375968, 49375973, 49375978? 5*g + 49375963 What is the t'th term of -18147, -40155, -62163, -84171? -22008*t + 3861 What is the l'th term of 3689, 5620, 8849, 13376, 19201, 26324? 649*l**2 - 16*l + 3056 What is the w'th term of -78261, -314152, -707303, -1257714? -78630*w**2 - w + 370 What is the n'th term of -25180, -49724, -74268, -98812, -123356, -147900? -24544*n - 636 What is the n'th term of 88, 144, 252, 424, 672, 1008, 1444, 1992? 2*n**3 + 14*n**2 + 72 What is the n'th term of 2419, 4733, 7055, 9385, 11723? 4*n**2 + 2302*n + 113 What is the p'th term of -67210, -67233, -67256? -23*p - 67187 What is the d'th term of -217682, -217847, -218012? -165*d - 217517 What is the p'th term of 2819, 5627, 8397, 11117, 13775, 16359? -2*p**3 - 7*p**2 + 2843*p - 15 What is the r'th term of 1146, 1357, 1576, 1803, 2038, 2281? 4*r**2 + 199*r + 943 What is the a'th term of -44112, -84934, -125756, -166578, -207400? -40822*a - 3290 What is the i'th term of 17295, 17002, 16525, 15870, 15043, 14050? i**3 - 98*i**2 - 6*i + 17398 What is the o'th term of 1056389, 1056169, 1055949, 1055729? -220*o + 1056609 What is the d'th term of 2265125, 4530340, 6795555, 9060770, 11325985, 13591200? 2265215*d - 90 What is the d'th term of -4096277, -16385093, -36866451, -65540351? -4096271*d**2 - 3*d - 3 What is the w'th term of -366582968, -366582971, -366582974? -3*w - 366582965 What is the a'th term of -1197, 13714, 60821, 156222, 316015, 556298, 893169? 2683*a**3 - 3870*a - 10 What is the w'th term of -2781, -2676, -2481, -2184, -1773? 2*w**3 + 33*w**2 - 8*w - 2808 What is the v'th term of -109435, -218952, -328465, -437974, -547479, -656980, -766477? 2*v**2 - 109523*v + 86 What is the b'th term of 94, -54, -420, -1112, -2238? -18*b**3 - b**2 - 19*b + 132 What is the i'th term of 2574
{ "pile_set_name": "DM Mathematics" }
: i or p? i Let o(y) = -49*y**3 + y. Let s be o(-1). Let i = 49 - s. Which is smaller: i or -3/62? -3/62 Suppose -1237 = -4*n + 323. Let h be 5*4/n*2. Which is bigger: h or 1? 1 Let t = 15 - -18. Let v = 32.9 - t. Which is smaller: -39 or v? -39 Suppose -5*n - 11 = -1. Let o be (n/9)/(1/(-759)). Let p = -166 + o. Which is bigger: 2 or p? p Let q = -116/33 + 1948/429. Let c = q + 4/13. Let b = 23 - 21. Which is smaller: c or b? c Suppose -18*w + 224 = -4*w + 2*w. Let t be 24*(-1 + (-9)/(-6)). Is w smaller than t? False Suppose -13*d + 6 = -11*d. Let l be d/12 - (1 - 4/16). Which is smaller: l or -2/195? l Let u be 90/6*(-6)/(-10). Suppose 2*t - 3 - u = 0. Let j be (2 - 3)*(-1 + t). Is -5 equal to j? True Let l = 92 + -125. Let x = l - -34. Which is bigger: -41 or x? x Let z = 33.02 - 33. Let t = z - 3.32. Is 0 != t? True Let d be ((-1)/(-2))/(1625/270 + -6). Which is greater: d or 31? 31 Suppose 96 = u - n, 0 = 5*u - 4*n + n - 476. Let c = u + -102. Is -3 less than c? False Let h be (1 + -3)/((-14)/(-21)). Let k be (-3)/4 - 5/h. Let r = k + -2/3. Is 1/4 less than r? False Let a be (-1)/4 + 1*3070/13240. Which is greater: 0 or a? 0 Suppose t + 3*t + 12 = 0. Suppose -3 = -f - 0. Suppose -z + 2*s - 1 = -f*s, z + 1 = 3*s. Is t equal to z? False Let x be (216/(-90))/(6/(-20)). Suppose 0 = x*m - 9*m. Is m > 0.22? False Suppose 0 = 30*f - 51*f + 126. Are f and 16 equal? False Suppose -4*f = -d - 36 - 0, 2*f - 10 = 0. Is d at least as big as -1/2? False Let p be (3/6)/((-3)/(-30)). Suppose 60 = p*v + 4*b - 0*b, 0 = 2*v + b - 24. Suppose 4*j - q - 4 = 5*j, 3*j + q = -v. Which is greater: j or -3? -3 Let n(d) = d**3 + 3*d**2 - 4*d. Let z be n(-4). Suppose 4*p + z = 24. Suppose 4*x + 6 = p*x. Which is bigger: x or 4? 4 Suppose 0 = -3*s + 8*g - 6*g, 5*s + 3*g = 0. Let o = 13 + -9. Let i be (o/21)/(2/3). Are s and i equal? False Suppose 4*n + n + o - 9 = 0, -2*n - 5*o = 1. Suppose -27*p - n = -29*p. Which is greater: 9/4 or p? 9/4 Let a(l) = 3*l - 15. Let y = 21 + -16. Let z be a(y). Which is smaller: z or -2/121? -2/121 Suppose 5*b + 533 = -3*o, -341 = 2*b + 2*o - 127. Which is greater: -107 or b? b Let b(w) = w - 1. Let n = -17 - -14. Let h be b(n). Let p be (-8)/(-84)*6/h. Which is bigger: -1 or p? p Let u = -0.5 + 0.4. Let o = -205 - -218. Which is bigger: o or u? o Let t(i) = -10*i + 213. Let h be t(-4). Which is bigger: h or 252? h Let d(y) = -y**2 + 19*y + 66. Let t be d(22). Which is bigger: t or 11? 11 Suppose 0 = -3*r + w + 3*w - 88, 5*w = 3*r + 89. Let f = 39 + r. Suppose -2*u - 2 = 0, 2*b = -2*u - 3 + 21. Is f less than or equal to b? False Let c(h) = h**3 - 7*h**2 - 2*h + 13. Let m be c(7). Which is greater: -25 or m? m Let t = -67 - -22. Let l = 45 + t. Is l at least 2/183? False Let f be (-505)/2 + (-1)/(-2). Let u = 311/2 + 565/6. Let r = f + u. Which is smaller: r or -1? r Let q = -127 - -126. Let p(a) = a + 3. Let d be p(-4). Is q greater than or equal to d? True Let j(f) = 4*f + 14. Let x be j(-4). Which is smaller: x or 7? x Let i(q) = -q**3 - 6*q**2 - 4*q + 7. Let b be i(-5). Suppose 4*c + 228 = 4*z, -37 - 32 = -z - 3*c. Let j = z - 55. Is b at least j? False Let y = 5 - 4. Let c = 943/3906 + -13/62. Which is smaller: c or y? c Let k = -48 + 49. Let m = -0.1 + -0.66. Let i = -0.04 + m. Which is smaller: k or i? i Let h = 32 + -38. Let r be 13/(-4) - (-7 - h). Is -0.3 equal to r? False Let h(d) = -d**3 - 8*d**2 - 7*d + 2. Let r be h(-7). Suppose 0 = r*a + 2 - 0. Let z be 1224/176 - (3 - (-16)/4). Do z and a have different values? True Let f(w) = -w**2 - 9*w - 4. Let m be f(-4). Let h = 6 + -8. Let u = h + 19. Are m and u unequal? True Let u(s) be the first derivative of -s**4/4 + 3*s**3 - 7*s**2/2 - 9*s + 26. Let w be u(8). Let c be 4/(-35)*15/18. Which is greater: c or w? c Suppose 4*a - 12 = 0, -5*a = 4*q - a + 4. Suppose -3*k + 4*k = 4*x + 20, 4*x + 36 = 3*k. Let g be q/16 - 22/k. Is 0 not equal to g? True Let z = 2 - 3. Let a be 3 - 0/(0 + z). Suppose 0 = -r + 4*n + a, 3*r + 2*n - 12 = -r. Which is bigger: 6 or r? 6 Suppose -5*w - 53 = u, 2*w + u = -u - 26. Let z be 21 + 1 + (-20)/w. Which is smaller: 25 or z? z Let o be ((-3)/24*6)/((-9)/(-36)). Do -25 and o have different values? True Let n(a) = 2*a + 9. Let m be n(-7). Let q = -4 - -9. Suppose -q*g - 19 = -0*g - 4*b, 0 = -2*g - 4*b - 2. Is g <= m? False Let l(m) = -m**2 - 13*m + 218. Let n be l(-24). Let t be -48 - -6*(-1)/(-2). Which is smaller: t or n? n Let t(p) = -2*p + 1. Let j(y) = y - 1. Let x(k) = -11*j(k) - 6*t(k). Let o be x(-5). Let l = 21 - 23. Which is smaller: o or l? l Suppose -950*u = -952*u + 2. Which is smaller: u or -3/25? -3/25 Let j = -23.7 + 23.5. Is j not equal to 2/123? True Suppose -18*o - 9339 = 15*o. Is o at most as big as -283? True Let x(t) = -21*t - 126. Let l be x(-8). Which is smaller: 3/2 or l? 3/2 Let n = 32 + -30. Suppose c - 12 = -3*o - 2, n*o = 4*c - 12. Is -1 greater than c? False Let o = -33 - -32. Are o and 17.8 nonequal? True Suppose 0 = 4*q - g + 61, -2*g - 80 = 5*q - 4*g. Suppose 5*s + 40 = -3*b, 3*b = 3*s - 2*s - 46. Let f = b - q. Are f and -1 equal? True Let q = 75.7 + -77. Let v = q + 0.3. Is v bigger than 14? False Let k(i) = i + 2. Let m be k(-2). Let s(v) be the second derivative of -v**3/6 + 7*v**2/2 - 5*v. Let w be s(3). Which is smaller: w or m? m Let h be (4/6)/(6/10). Let i(g) = -35*g**3 + 2*g**2 + 3*g + 2. Let t be i(-1). Suppose -1 = -t*o + 35*o. Which is bigger: o or h? h Suppose -11*c + 10*c + 4 = 0. Let l = c - 8. Let m be (l/(-8))/((-3)/66). Which is bigger: m or 0? 0 Suppose -3*v + 8 = -7*v, -4*q + 5*v - 42 = 0. Let o be (-2)/6 + (-176)/12. Let m = o - q. Which is bigger: -3 or m? m Suppose -2*y - 2*t - 12 = 0, 0 = -2*y - 5*t - 6. Let d be (y/10)/(2/5). Suppose 7 + 1 = -4*x. Is d equal to x? True Let k(w) = w**3 + 22*w**2 - 48*w + 21. Let n be k(-24). Let f be (n + -11)/((-1)/(-4)). Is 38 at least f? False Let f = 16416083/837 + -19613. Let a = f - -257/9207. Which is bigger: -1 or a? a Let j(x) = -4 + 0 + 2 + 0*x - 2*x. Let i be j(-3). Suppose -d = i*d. Which is smaller: 2/3 or d? d Let a = -682.1323 + 0.1323. Is a equal to -0.1? False Let d(i) = -i**3 + 4*i**2 - 2*i + 7. Let x be d(5). Let b be (-132)/(-14) - (-12)/x. Suppose -3 = 3*u + b. Is u greater than -5? True Suppose -5*g - 103 = 3*z, -46*z + 50*z - 2*g + 94 = 0. Is -82/3 smaller than z? True Let h = 4 + 1. Let p(k) = k**3 - 4*k**2 - 5*k + 1. Let b be p(h). Suppose l - 5 = -b. Is l > 3? True Let i(r) be the third derivative of -r**4/8 - 5*r**3/6 + 7*r**2. Let c be i(-4). Suppose 5*f = 4*w - 12, 4*f = 4*w - c*w - 22. Is 1 less than or equal to f? False Suppose 32*i - 13*i = -247. Let l = -0.9 + 4.9. Is i not equal to l? True Let f be (((-18)/44)/(-1))/((-204)/544). Which is smaller: 0 or f? f Let h = -0.566 + 0.53. Let a = h - -0.636. Is a != 8? True Let j(o) = 3*o - 6. Suppose 16 - 4 = 2*v. Let d be j(v). Suppose 238 = -40*f + 758. Which is smaller: d or f? d Let a = -3 - -2. Let r be (a - -1 - -1)/1. Let p = -53257/104 + 4097/8. Which is greater: r or p? r Suppose 16 = -3*y + 82. Suppose 5*i - 60 = -5*f, 3*f - y = 2*f - 3*i. Let q = 6 - f. Which is bigger: q or -9/4? q Let h be (-91)/(-84)*(-3 - -7). Let g be (72/48)/(1/2). Is g < h? True Let v(d) = -d**3 - 1. Let y be v(-2). Suppose 20 = -3*x + y*x. Suppose 3*i + 2*i + x = 0. Which is smaller: i or 4/9? i Let y = -72 + 162. Let p be (4/10)/(102/y). Which is smaller: 1 or p? p Suppose 5*o = 3*f + 122, 66*f - 172 = 69*f + 5*o. Are f and -193/4 nonequal? True Suppose -20 = 46*v - 36*v. Which is greater: v or -0.8? -0.8 Let z = 133/6 + -44/3. Suppose 0 = -6*x + x + 55. Suppose 0 = h + 2 - x. Is z not equal to h? True Suppose 5*f + 29 = 5*u - 16, -3*f - 7 = 2*u. Let h be (4/(-6))/(6/45). Is f at most as big as h? True Let x = -106 - -107. Is 4/9 less than or equal to x? True Let p be -6 + 3/((-9)/3). Let l(c) = 2*c - 15. Let x be l(4). Let k be (-12)/x - 2/p. Is 0 bigger than k? False Let l be (3/222)/((-10)/40). Suppose 2*u - 6 = -3*t - u, 37 = 5*t - 4*u. Let g = t + -4. Which is smaller: g or l? l Let o = 61 - 45. Suppose 0 = o*k - 14*k. Let a(w) = -4*w + 3. Let l be a(2). Which is greater: l or k? k Let l be (-1)/2*(2 - 2). Let a = 4.423 + -0.623. Which is greater: l or a? a Let u(k) = 4 + 17401*k - 17403*
{ "pile_set_name": "DM Mathematics" }
rue Is 6103 a composite number? True Is 222001 a composite number? True Is 189463 composite? False Is 1494833 composite? True Is 1636997 composite? False Is 34415 a composite number? True Is 31511 composite? False Is 10301 a prime number? True Is 175223 composite? True Is 14317 composite? True Is 3079 prime? True Is 12869 a composite number? True Is 1883 a prime number? False Is 25969 prime? True Is 29819 a composite number? False Is 3421 prime? False Is 304477 a prime number? True Is 9979 prime? False Is 8039 composite? False Is 1399 a composite number? False Is 27923 composite? True Is 26389 prime? False Is 135637 composite? False Is 23015 a composite number? True Is 7729 a composite number? True Is 3027 a composite number? True Is 324713 prime? False Is 562661 a composite number? True Is 14719 a composite number? True Is 148021 composite? False Is 16649 a prime number? True Is 26351 prime? False Is 9277 prime? True Is 83339 a prime number? True Is 31687 a prime number? True Is 30829 a prime number? True Is 531071 prime? True Is 170081 prime? True Is 58831 prime? True Is 456371 a composite number? True Is 21269 composite? False Is 1363 a prime number? False Is 130519 a prime number? False Is 409 a prime number? True Is 532409 a prime number? False Is 51279 a composite number? True Is 6119 prime? False Is 647911 a composite number? True Is 703 prime? False Is 623291 prime? True Is 21439 prime? False Is 106847 prime? False Is 78077 prime? False Is 6469 a composite number? False Is 188569 a prime number? False Is 2581121 a composite number? False Is 1459703 a composite number? True Is 334319 composite? False Is 145385 a prime number? False Is 58831 a prime number? True Is 570449 a prime number? False Is 194359 composite? True Is 19003 a composite number? True Is 21377 a prime number? True Is 13001 prime? True Is 62039 a prime number? True Is 85402 a composite number? True Is 73009 a prime number? True Is 829289 prime? True Is 415463 a composite number? True Is 2629 a composite number? True Is 49091 a composite number? True Is 114997 composite? False Is 42737 a prime number? True Is 5981 composite? False Is 47053 a prime number? False Is 461431 composite? True Is 92129 prime? False Is 461845 a prime number? False Is 190751 a composite number? True Is 21859 a prime number? True Is 75271 composite? True Is 3763 composite? True Is 411527 composite? False Is 20323 a composite number? False Is 62119 composite? False Is 794 prime? False Is 8501 composite? False Is 93871 composite? False Is 160807 composite? False Is 18077 a composite number? False Is 209431 a composite number? False Is 739657 composite? True Is 68431 a prime number? False Is 169063 a composite number? False Is 30505 a composite number? True Is 489529 composite? False Is 104827 a composite number? False Is 1759 a composite number? False Is 71737 prime? False Is 263 composite? False Is 389 prime? True Is 3921863 a prime number? False Is 1178839 a prime number? False Is 424813 a composite number? True Is 19235 a prime number? False Is 263951 composite? False Is 3761 prime? True Is 105295 a composite number? True Is 737158 composite? True Is 13093 prime? True Is 424079 prime? True Is 105097 a prime number? True Is 1847 a composite number? False Is 19553 prime? True Is 82237 a composite number? False Is 80939 a prime number? False Is 543589 a prime number? False Is 103585 prime? False Is 317 composite? False Is 87829 a composite number? True Is 3151 composite? True Is 28169 a composite number? True Is 41493 a composite number? True Is 388727 a prime number? True Is 26023 prime? False Is 11566 a prime number? False Is 873413 composite? True Is 132151 a prime number? True Is 23423 composite? True Is 744409 a prime number? True Is 260317 a prime number? True Is 649561 composite? True Is 1151279 composite? True Is 815891 prime? True Is 105845 prime? False Is 31819 prime? False Is 36373 a composite number? False Is 2437 a prime number? True Is 4561 composite? False Is 37211 a composite number? True Is 53123 a prime number? False Is 26977 prime? False Is 1239643 a composite number? False Is 64882 composite? True Is 38431 a prime number? True Is 37211 a prime number? False Is 49817 composite? True Is 331658 a prime number? False Is 18505 prime? False Is 60657 composite? True Is 27947 composite? False Is 15046 a composite number? True Is 153199 composite? True Is 213485 a prime number? False Is 40286 prime? False Is 19939 prime? False Is 73237 prime? True Is 507466 composite? True Is 815 prime? False Is 56843 prime? True Is 38029 a composite number? True Is 8509 composite? True Is 293863 composite? False Is 52667 a prime number? True Is 22045 prime? False Is 512965 a composite number? True Is 998311 a prime number? True Is 80999 a composite number? True Is 29813 a composite number? True Is 56519 prime? True Is 1763 a prime number? False Is 1914883 a prime number? True Is 185357 prime? False Is 1397 a prime number? False Is 4121 a composite number? True Is 71453 prime? True Is 107039 prime? False Is 668549 composite? True Is 25582 composite? True Is 19711 prime? False Is 123323 a composite number? False Is 24439 a composite number? False Is 1283181 prime? False Is 81479 a composite number? True Is 186887 prime? False Is 485753 a composite number? False Is 9133 composite? False Is 396401 a composite number? True Is 114407 prime? True Is 43661 composite? False Is 39683 a composite number? True Is 646487 a composite number? True Is 25763 a prime number? True Is 25835 prime? False Is 627649 a prime number? False Is 10903 composite? False Is 5131 composite? True Is 14029 composite? False Is 16855 prime? False Is 107441 composite? False Is 750413 prime? True Is 313613 prime? True Is 91493 a composite number? False Is 953 a composite number? False Is 72679 a prime number? True Is 3827305 a composite number? True Is 126583 a prime number? True Is 61441 a prime number? True Is 269251 a composite number? False Is 1303565 prime? False Is 44633 a prime number? True Is 221021 a composite number? False Is 484019 a prime number? True Is 309113 a prime number? False Is 4373 composite? False Is 3361739 composite? False Is 25409 a prime number? True Is 23089 composite? True Is 166457 composite? False Is 1006351 prime? True Is 30237 composite? True Is 25657 prime? True Is 3821 prime? True Is 232955 composite? True Is 379 a prime number? True Is 3593 a prime number? True Is 169583 composite? False Is 29765 a composite number? True Is 827327 composite? False Is 1943 a prime number? False Is 13553 composite? False Is 453538 composite? True Is 57061 composite? True Is 9523 composite? True Is 21647 a composite number? False Is 29231 prime? True Is 51109 a composite number? False Is 5311 a composite number? True Is 2531 prime? True Is 249703 composite? False Is 454759 prime? True Is 257729 a prime number? False Is 20571 composite? True Is 50741 a composite number? False Is 562231 a prime number? True Is 65257 prime? True Is 248377 prime? False Is 914 a prime number? False Is 95619 a composite number? True Is 45707 a prime number? True Is 261817 a prime number? False Is 18451 composite? False Is 418553 prime? True Is 552635 a composite number? True Is 8651 a composite number? True Is 35759 a composite number? False Is 18947 prime? True Is 28403 composite? False Is 78467 composite? False Is 31307 composite? False Is 21621 composite? True Is 270397 prime? False Is 18933 prime? False Is 1811 a prime number? True Is 21806 a prime number? False Is 38173 a composite number? True Is 249433 a composite number? False Is 58997 a composite number? False Is 685291 composite? True Is 4049 a composite number? False Is 107833 composite? True Is 18199 prime? True Is 47933 a composite number? False Is 90583 a composite number? False Is 9527 a composite number? True Is 22853 a prime number? True Is 7249 prime? False Is 3089 a prime number? True Is 1188947 a composite number? False Is 1226179 prime? True Is 629 a composite number? True Is 440203 a prime number? True Is 34793 a prime number? False Is 2478011 a composite number? False Is 44471 prime? False Is 4091 a composite number? False Is 14437 a prime number? True Is 1571597 a prime n
{ "pile_set_name": "DM Mathematics" }
e u*r = 12 - 2. Suppose 3*v = -5*t - 13, -2*t - r = -3*v + 4*v. Calculate g(v). -10 Let q(l) = 3*l - 7. Let g(m) = 2*m - 4. Let z(s) = -10*g(s) + 6*q(s). Suppose -2*a + 33*p = 32*p + 4, -p = -5*a - 16. Calculate z(a). 6 Let f(q) be the third derivative of -q**4/24 - q**3/6 + q**2. Suppose 9 = -5*k + 2*a - 4, 5*a - 18 = -2*k. Give f(k). 0 Let c(r) be the second derivative of 0*r**3 + 0 + 9*r - 1/5*r**5 + 1/2*r**2 + 0*r**4. Suppose -13 = d + 4*p - 6, -5*p = -3*d + 13. Determine c(d). -3 Let n(p) = -4*p**3 + 9*p**2 - 2*p - 7. Let y be (-9)/9 + 1*5. Let g(c) = 3*c**3 - 8*c**2 + c + 6. Let u(x) = y*n(x) + 5*g(x). Give u(-4). 14 Suppose -4*n + 12 = -n. Let i(b) = -b**2 + 2*b - 5. Give i(n). -13 Suppose 8 = -2*b - 3*w, -b = -3*b - 5*w - 16. Let z = 1 + -1. Let p(v) = 3 - 4 + v + z*v - b*v. What is p(-1)? 0 Let t(z) = 4*z**2 + 7*z - 5. Let q(g) = -g**2 - g + 1. Let y(h) = 5*q(h) + t(h). Give y(3). -3 Let d(n) be the second derivative of n**4/4 + n**3/2 + n**2 + 11*n. What is d(-2)? 8 Suppose 24 = 2*h + 4*h. Let a(z) = z**3 - 3*z**2 - 2*z - 1. Calculate a(h). 7 Let s(w) = -2*w**2 - 1. Let z(b) = b**3 - 7*b**2 - 1. Let h be z(7). Give s(h). -3 Let p(h) = h. Let t be (-4)/(-6) + (-3)/(-9). Let c(z) = 4*z + 5. Let g(w) = -7*w - 10. Let o(d) = -11*c(d) - 6*g(d). Let n(y) = t*o(y) + 3*p(y). What is n(-4)? 1 Let t(n) = -n + 13. Let l be t(9). Let m(o) = -o - 1. Calculate m(l). -5 Let i(w) = 2*w**2 - 1. Let q(g) = g**2 - g - 1. Let k(f) = i(f) - 3*q(f). Give k(3). 2 Let u(f) = f**2 + 2*f. Let c(v) = -v**2 - 2*v - 1. Let i(n) = 4*c(n) + 3*u(n). Give i(-4). -12 Let m(k) be the first derivative of -k**3/3 + 7*k**2/2 + 3*k - 11. Suppose -w = w - 12. Give m(w). 9 Suppose -5*q = 20, -5*a = -7*q + 2*q - 45. Let o(h) = h**3 - 6*h**2 + 6*h + 1. Let c be o(a). Let w(d) = -1 - 4*d - c - 2*d**2 + 4. Determine w(-2). -3 Let o(h) be the third derivative of h**5/60 - h**4/12 + h**3 + 7*h**2. Determine o(5). 21 Let d be 2/(-4) - 55/(-22). Let f(j) = 2*j**2 - j - 2. What is f(d)? 4 Let f = -15 + 11. Let z(u) = -2*u**2 - 5*u - 5. What is z(f)? -17 Let v(g) = -4*g - g**2 + 2*g**3 - g**3 + 1 - 2. Let b = 3 - 1. Let a be b/(-4) + 28/8. Determine v(a). 5 Let t be 44/(-10) + (-2)/(-5). Let n = 8 - 7. Let q(i) = -n + 0 - 4 - 3*i. Give q(t). 7 Let v(r) = r**2 + r + 1. Let y(i) = 5*i**2 + 2*i + 5. Let g(o) = -4*v(o) + y(o). Calculate g(4). 9 Let n(k) = -k**2 - 5*k + 4. Suppose -5*p + q + 7 = -7, 3*q = p - 14. Let b be 1*26*(-1)/(-2). Suppose -5*s = p*c, c - 4*s + 0*s + b = 0. Calculate n(c). 4 Let j(i) = i**2 - i - 2. Let w(h) = -h**2 - 8*h - 10. Let g be w(-6). Calculate j(g). 0 Let s(p) = 7*p**3 - 10*p**2 + 11*p - 1. Let v(z) = 3*z**3 - 5*z**2 + 5*z. Let k(n) = -4*s(n) + 9*v(n). What is k(-4)? -16 Let x(u) be the third derivative of -u**4/24 + u**3/2 - u**2 - 8. Calculate x(-4). 7 Let g(h) = 3*h**3 - 10*h**2 + 17*h + 6. Let f(v) = -4*v**3 + 15*v**2 - 25*v - 9. Let x(i) = -5*f(i) - 7*g(i). Suppose 2*c + 14 = 2. Determine x(c). 3 Let m(s) be the second derivative of -s**3/6 + 3*s. Let c(n) = -4*n + 1. Let g(a) = c(a) - 3*m(a). Give g(-4). 5 Let v(o) = -o**3 + o**2 + o + 1. Suppose 5*n + 2 = -s, 6 = -s - 2*s. What is v(n)? 1 Let g(w) = 2*w**2 - w - 2. Suppose -5*b = -3 - 7. Suppose 0*f = b*f. Let q = f + 2. Calculate g(q). 4 Suppose -4*i - 5*w + 12 = 0, -5*i + 3*w - 22 = -0*w. Let m(f) = -10*f + 1. Let b(n) = -19*n + 2. Let o(q) = -3*b(q) + 5*m(q). Give o(i). -15 Let d be (-6)/(-2) + (3 - 2). Let v(t) = d*t - 1 + 1. Let a be (-8)/(-20) + (-12)/5. Calculate v(a). -8 Let s(n) = -n**3 + 3*n**2 + 2*n - 2. Let g be s(3). Let o be g/(-1)*(-1 + 2). Let k = 9 + o. Let v(l) = -l + 2. What is v(k)? -3 Let r(i) be the second derivative of -1/20*i**5 - 3/2*i**2 + 5/6*i**3 + 0*i**4 + 0 - 4*i. Calculate r(3). -15 Let d(h) = 1 - 118*h + h**3 - h**2 + 118*h. Let l(i) = -3*i**3 + 2 - i**2 - 2*i**2 + 6*i**3 + i. Let y(o) = 2*d(o) - l(o). Give y(1). -1 Let m(d) = 2*d**2 + 4*d + 3. Let y = -13 + 11. Calculate m(y). 3 Suppose -5*j + 3*z = -21, j - 13 = z + 4*z. Let g be j/(-9) + 55/(-15). Let k(c) = 4*c + 6. Give k(g). -10 Let k = -4 - -16. Let w(t) = -5*t - k*t**2 + 3*t + 11*t**2 - 6 + t. Determine w(0). -6 Let d = 3 - -1. Let t(r) = 1 + 0*r + 2 - 4*r + 3*r. Give t(d). -1 Let k(v) = -78*v**3 + 153*v**3 - 2*v**2 - 71*v**3 - v. Give k(-1). -5 Let l be (-2)/3*3/6*-18. Let t(c) be the third derivative of c**4/24 - 2*c**3 - c**2. Calculate t(l). -6 Suppose 2*p = v + 3, 0 = -0*v + v + 3*p - 17. Let d(i) = -i - 3. Determine d(v). -8 Let y(i) = 2*i**2 - 4*i + 3. Let l(s) = -s + s**2 + 4*s - s. Let o be l(-2). Let u be 1 + o + (-2)/(-2). Give y(u). 3 Let c(h) = -h + 2. Let y(u) = 2*u**2 + 2*u - 1. Let f be y(-2). Let v = f - 8. Calculate c(v). 7 Suppose 5*h + 22 = -f, -4*h - 12 - 11 = -f. Let b(w) = w**2 + 4*w. Calculate b(h). 5 Let q be 34/10 - ((-14)/(-35) + -1). Let g(a) = -2 + a**2 + 3 + a - 6*a**2 + a**3. Determine g(q). -11 Let p(i) be the second derivative of i**5/20 + i**3/6 + 4*i**2 - i. Suppose -2*h + n - 10 = 0, -5*h + 3*n - 25 = 5*n. Let r = h - -5. What is p(r)? 8 Suppose -3 = -2*f + 9. Let w(g) = -7*g + 1. Let y(v) = -15*v + 2. Let n(a) = f*y(a) - 13*w(a). Let o = 0 + 0. What is n(o)? -1 Let l(x) be the second derivative of -x**3/3 - x**2/2 - 3*x. Calculate l(-3). 5 Let h(o) = 3*o**2 + 3*o + 4. Let z = 7 + -6. Let w(b) = b**2 + b + 1. Let l(k) = z*h(k) - 4*w(k). Calculate l(-4). -12 Let j(k) = -3*k**2 - 3*k - 1. Let b(c) be the second derivative of c**3/6 + 3*c**2/2 + 4*c. Let r be b(-5). Give j(r). -7 Suppose 0 = -3*n + 4*j + 26, 3*n = 2*j - 8 + 30. Let b(l) = -l**2 + 3*l + 8. Calculate b(n). -10 Let c = 2 - -1. Let b be c*(3 + 33/(-9)). Let z(g) = 2*g. Calculate z(b). -4 Suppose a - 3*l = -2*a + 27, 0 = 5*l + 15. Let w(s) = -s**2 + 7*s + 5. Let k be w(6). Let x = k - a. Let n(h) = -h**3 + 6*h**2 - 4*h + 1. Give n(x). 6 Let v be 0 - 2*-1 - 2. Let g(t) = t**2 + v*t - t + t + 4*t. Give g(-4). 0 Suppose 0 = 4*w - 4, -a - 1 = 4*w - 8. Let b(p) = -4 - p**3 + 2*p**3 + 5*p + 7*p**2 - a. Determine b(-6). -1 Let u(c) = -4*c**3 + 7*c + 5 - 1 + 5*c**3 - 8*c**2. Calculate u(7). 4 Let c be 33/(-44)*8/(-3). Let d(y) = y**3 - y + 1. Calculate d(c). 7 Let h(x) = -1. Let i(s) = -5*s**2 - 12*s - 11. Let q(l) = 3*l**2 + 6*l + 6. Let o(p) = 4*i(p) + 7*q(p). Let b = -8 - -7. Let c(f) = b*h(f) - o(f). What is c(5)? 8 Let a(r) be the third derivative of -r**6/120 + r**5/20 - r**4/24 + 5*r**3/6 - 2*r**2 - 36. Calculate a(4). -15 Let j = -7 - -9. Let x(h) = h - h**3 + 1 + 0*h - j*h - h**2 + 2*h. Determine x(-2). 3 Let v(q) = -5*q**3 - 4*q**2 - 7*q - 9. Let r(i) = -4*i**3 - 4*i**2 - 6*i - 8. Let j(p) = 6*r(p) - 5*v(p). Let f = -3 - -7. What is j(f)? -7 Let b(r) = -6*r + 2 + r**2 + 4*r**2 - r**3 + r**2. Let w = 39 + 1. Let y be ((-5)/4)/((-10)/w). Determine b(y). -3 Suppose c = -3*c + 40. Suppose -2*s = -0*s - c. Suppose 0*f + s*f - 3*j = 0, f + 2*j = 13. Let d(q) = -2*q**2 + 5*q - 2. Determine d(f). -5 Let l = 26 - 27. Let c(h) be the first derivative of -1/2*h**2 - h - 1/3*h**3 - 1. What is c(l)? -1 Let t = -4 + 4. Let j(g) be the first derivative of 2 - 2*g**2 + g**2 + 2 + t. Calculate j(-2). 4 Let q(w) be the first derivative of -w**3 - 3*w**2/2 - 4. Let y(s) = -6*s + 0*s**2 + s**2 + 2 + 4. Let a be y(4). Give q(a). -6 Let r(d) = -2*d**3 + 2*d**2. Suppose -w - 4 = -3*w. Determine r(w). -8 Let l(v) = 3*v - 3. Suppose 0 = 5*a + 2*q - 15 - 2, a + q = 4. Suppose a*g - 6 = -2*b, 2*g - 2*b = -2*g + 8. Let j be (g/(-3))/(2/(-9)). Determine l(j). 6 Let i(b) = 12*b + 2. Let l(x) = -6*x - 1. Let f(j) = 3*i(j) + 5*l(j). Suppose -4*p + 5 = 1. What is f(p)? 7 Suppose -u = 1, -u = r - 0*u + 3. Let h be -8 + (1 - 1 - r). Let z(g) = -g - 3. Give z(h). 3 Let m be (-14)/(-6)*(1 + -4). Let s(j) be the third derivative of 9*j**2 + 1/3*j**3 + 1/24*j**4 + 0 + 0*j. Give s(m). -5 Let d = 20 - 17. Let y(r) = 4 + 4 - d + 2*r. Determine y(4). 13 Let b(w) be the first derivative of 1/2*w**2 - 5 + 3*w. Calculate b(0). 3 Let l(i) = i**2 - 4*i + 4. Suppose 4 = 3*w - 2*a, -5*w - a + 26 = 2. Determine l(w). 4 Let u(j) = 6*j**2 + 3*j + 10. Let x(c) = 0 + 5*c**2 + 9 + 0 + 2*c. Let a(t) = -6*u(t) + 7*x(t). Calculate a(-5). -2 Suppose 0*o = -o + 3. Let p(c) be the second derivative of c**3/6 - 7*c**2/2 - 14*c. Give p(o). -4 Let h(r) = -4 - r**2 - 4*r +
{ "pile_set_name": "DM Mathematics" }
. 5430414 Calculate the least common multiple of 939050 and 536600. 3756200 Calculate the lowest common multiple of 472384 and 320. 2361920 What is the common denominator of 35/86791302 and 19/10712? 347165208 Find the common denominator of -77/376 and 32/135089. 50793464 Find the common denominator of 93/498260 and 39/196. 3487820 Calculate the lowest common multiple of 215906 and 689846. 28283686 Calculate the lowest common multiple of 821 and 525440. 525440 What is the smallest common multiple of 715780 and 16105050? 32210100 What is the smallest common multiple of 1080 and 694890? 8338680 What is the common denominator of -113/11050 and 35/18926? 104566150 Calculate the common denominator of 79/284256 and -113/1835568. 172543392 Calculate the least common multiple of 11349 and 167713. 1509417 What is the lowest common multiple of 10111248 and 212336208? 212336208 Calculate the lowest common multiple of 807 and 35436. 9532284 What is the least common multiple of 1753056 and 5184? 10518336 What is the common denominator of 47/356614 and 19/534921? 1069842 What is the lowest common multiple of 915760 and 400? 4578800 Calculate the smallest common multiple of 1047 and 218115. 76122135 Calculate the common denominator of -137/194479340 and -54/55. 194479340 Find the common denominator of 155/2953614 and 101/11300784. 259918032 Calculate the smallest common multiple of 297558 and 854. 2082906 What is the smallest common multiple of 2345 and 6313075? 44191525 What is the lowest common multiple of 2232312 and 1692? 6696936 What is the smallest common multiple of 425466 and 94548? 850932 What is the least common multiple of 5841 and 229451? 22715649 Find the common denominator of 21/2203360 and -43/222680. 41863840 Calculate the least common multiple of 5072 and 5054882. 40439056 Calculate the lowest common multiple of 7337 and 14314487. 14314487 Calculate the least common multiple of 200 and 111175875. 889407000 Calculate the lowest common multiple of 1214274 and 69. 27928302 What is the least common multiple of 56 and 76678735? 613429880 What is the common denominator of -95/414648 and -93/16? 829296 What is the common denominator of 64/2044047 and 4/7494839? 22484517 Calculate the common denominator of -10/4600571 and -5/1256. 36804568 What is the least common multiple of 231 and 1496775? 16464525 Calculate the least common multiple of 6 and 9102799. 54616794 Calculate the least common multiple of 4530 and 233845. 211863570 Find the common denominator of -97/1309412 and -25/27118. 9165884 Calculate the lowest common multiple of 1498302 and 1726114. 295165494 What is the least common multiple of 328 and 58630? 234520 Find the common denominator of 53/14976 and 125/37849344. 113548032 Calculate the common denominator of 99/1969552 and -53/416. 3939104 Find the common denominator of 107/251108760 and 11/126. 753326280 What is the common denominator of 50/3 and -83/15878178? 15878178 Calculate the least common multiple of 12680 and 23982. 152045880 Calculate the least common multiple of 32 and 2722792. 10891168 Calculate the lowest common multiple of 480 and 92415616. 1386234240 Calculate the smallest common multiple of 51280 and 9102200. 18204400 Calculate the smallest common multiple of 15011 and 113811636. 1934797812 What is the lowest common multiple of 54850988 and 137127470? 274254940 Find the common denominator of -43/13676 and -73/44148. 11610924 Find the common denominator of -85/782472 and -47/120. 3912360 Calculate the least common multiple of 17217 and 19794. 113597766 Find the common denominator of -55/468 and -93/1015696. 118836432 Find the common denominator of -49/2 and -121/198393890. 198393890 What is the common denominator of -5/300756 and -62/22929? 2298678108 What is the common denominator of 63/2197780 and 97/6630? 112086780 Find the common denominator of -16/4167 and 161/16200. 7500600 Find the common denominator of 151/42 and 83/35990024. 107970072 What is the least common multiple of 157657364 and 506? 1734231004 Calculate the least common multiple of 290465 and 280. 2323720 Calculate the common denominator of 87/7100 and 67/41740. 14817700 What is the lowest common multiple of 1221 and 388870? 12832710 What is the smallest common multiple of 8607870 and 120? 34431480 Calculate the lowest common multiple of 8448 and 948288. 3793152 What is the least common multiple of 24 and 8724435? 69795480 Calculate the smallest common multiple of 683161 and 126384785. 126384785 Find the common denominator of -31/346052 and 62/2274783. 154685244 What is the common denominator of 53/624192 and 31/728224? 4369344 Find the common denominator of 26/7 and -46/831147. 5818029 Calculate the lowest common multiple of 7140 and 13005. 364140 What is the smallest common multiple of 13 and 20038117? 260495521 What is the lowest common multiple of 78 and 81136133? 486816798 Calculate the common denominator of 41/620319 and -71/70. 6203190 Calculate the lowest common multiple of 25170 and 742785. 1246393230 What is the smallest common multiple of 35 and 25029395? 175205765 What is the common denominator of 36/21998251 and -23/248? 175986008 Calculate the least common multiple of 41943 and 69905. 209715 What is the lowest common multiple of 28272380 and 214320? 339268560 What is the smallest common multiple of 1814632 and 436? 1814632 Calculate the common denominator of -109/26683440 and -17/240. 26683440 Calculate the common denominator of -115/2543436 and -127/12978. 261973908 What is the smallest common multiple of 6315537 and 49493? 271568091 Calculate the least common multiple of 960 and 942. 150720 Calculate the smallest common multiple of 100318 and 29493492. 29493492 What is the common denominator of 37/6519150 and 109/6519150? 6519150 Find the common denominator of -67/14390 and -44/10667307. 106673070 Calculate the smallest common multiple of 103334736 and 275559296. 826677888 Calculate the smallest common multiple of 52311564 and 1824822. 156934692 Calculate the least common multiple of 66141212 and 44. 727553332 Calculate the common denominator of -95/752224 and -11/2393440. 26327840 Find the common denominator of -52/537891 and -26/13935. 2689455 Calculate the common denominator of 72/3153605 and -52/1015. 3153605 Calculate the least common multiple of 50286 and 5304. 2614872 Find the common denominator of 61/600 and -103/5824. 436800 Find the common denominator of -37/11876 and 59/2822. 16757036 Calculate the least common multiple of 246135 and 69. 5661105 What is the common denominator of -67/9 and 32/476379? 476379 What is the least common multiple of 1165 and 46880? 10923040 Calculate the lowest common multiple of 128388 and 355536. 4621968 What is the least common multiple of 16307841 and 12? 65231364 Calculate the common denominator of 56/3010599 and 25/2676088. 24084792 Calculate the common denominator of -43/8482992 and -95/24. 8482992 What is the lowest common multiple of 7199775 and 3272625? 35998875 What is the common denominator of 71/780 and -73/75? 3900 Calculate the lowest common multiple of 714825 and 300. 2859300 Calculate the common denominator of 181/62460 and 127/9990. 6933060 What is the lowest common multiple of 9463644 and 618228? 123027372 What is the least common multiple of 2259806 and 4297336? 262137496 Find the common denominator of 51/4886 and 43/3063871. 42894194 Find the common denominator of 95/6 and 68/2642877. 5285754 Find the common denominator of 47/10 and 18/229835. 459670 Calculate the least common multiple of 113524 and 88678. 49837036 Find the common denominator of -38/559119 and 161/132. 2236476 Calculate the common denominator of -95/2864 and 49/46533556. 186134224 Calculate the common denominator of -123/20 and -43/84278. 842780 Calculate the least common multiple of 8688 and 535680. 96958080 Calculate the lowest common multiple of 53042800 and 16. 53042800 Find the common denominator of -35/547338 and -19/274946122. 824838366 Calculate the least common multiple of 38544 and 7366722. 58933776 What is the least common multiple of 370260 and 45764136? 228820680 What is the smallest common multiple of 514815 and 735450? 5148150 What is the least common multiple of 14243775 and 91? 14243775 Find t
{ "pile_set_name": "DM Mathematics" }
Suppose -2*k = -r*k + f. Does 14 divide k? False Suppose p - 2*t + 8 = -7, 43 = -5*p + 2*t. Let u(x) = -x - 8. Let j be u(p). Does 27 divide 67 - (j + 1)/3? False Let b(s) = -s**2 + 7*s + 3. Let f be b(6). Suppose 117 = -6*i + f*i. Does 13 divide i? True Suppose -4*s - 888 = -3*x, 4*s = -4*x - 61 + 1273. Suppose -8*o + x = -3*o. Suppose -d = d - o. Is 15 a factor of d? True Suppose -38*x = 43227 - 130399. Is 31 a factor of x? True Suppose w - 393 = -3*l, 2*l + 378 - 10 = w. Is 21 a factor of w? True Suppose 0 = 5*n - 9*n + 600. Let r = -297 + n. Let j = -81 - r. Is j a multiple of 22? True Is 9 a factor of 117/156*(51 + 1)? False Suppose 0 = -3*n - 4*m + 125, -4 + 29 = 5*m. Does 5 divide n? True Let u(m) = m**3 + 3*m**2 + 25*m - 17. Does 58 divide u(10)? False Let x(t) = 23*t**2 - 16*t + 35. Is x(5) a multiple of 14? False Let h be (-8)/(-6)*(-12)/(-8). Suppose 0 = -h*u - 5 + 15. Is u a multiple of 2? False Let u be 4/2 - -1*14/(-2). Let f = 78 + u. Does 9 divide f? False Let c = -879 - -1483. Is 6 a factor of c? False Is 14058/6 - (-15)/(-5) a multiple of 52? True Is 20 a factor of 32020/50 - 10/25? True Suppose 0*o + r = o + 9, o = -5*r - 15. Let j = o + 12. Suppose j*v + 2*s = v + 16, 2*v - 4*s - 48 = 0. Does 20 divide v? True Let c be ((-1)/(-1))/(15/435). Let s = -34 + c. Is 11 a factor of 42 + s*10/(-25)? True Suppose -11*r = -6*r - 25. Suppose -4*d - d - 43 = -g, r*g - d - 95 = 0. Does 12 divide (g/4)/(13/104)? True Let z(j) = -19*j + 18. Is 41 a factor of z(-12)? True Let i(f) = f**3 - 9*f**2 + 11*f + 2. Is 42 a factor of i(11)? False Let a(k) = -k + 39. Suppose 2*j = -0*j + 38. Is a(j) a multiple of 8? False Let n = -27 + 29. Is ((-4)/(-8))/(n*1/752) a multiple of 12? False Suppose 4*a + 12*a - 512 = 0. Suppose 0 = 3*x - 17 - 1. Suppose h = -5*p + a, 3*h - x*p = -3*p + 78. Is h a multiple of 9? True Let i(b) = -15*b - 9. Let t be i(14). Let f = 362 + t. Is 11 a factor of f? True Let m = -61 - -2. Let u = m + 83. Does 12 divide u? True Let t(n) = n**3 - 6*n**2 + 7*n + 2. Let k be t(6). Suppose -2*p - 4*q = -0*p - k, -4*q = 3*p - 66. Does 22 divide p? True Let g be (-171)/21 - (-3)/21. Is g/36 - (-368)/36 a multiple of 10? True Let y = 14 + -12. Let s(n) = -1 + 0 + y*n**2 + n + 4*n - 4*n. Is s(-5) a multiple of 11? True Let t = 15 + -18. Let w be -3*(t - 7/(-3)). Suppose -w*a + 0*o = 2*o - 52, 0 = -4*a + o + 94. Is a a multiple of 4? True Suppose 0*j = -2*j. Suppose 3*d + 2*o = -3, j*d - 2*o = d + 5. Let m(q) = 34*q + 1. Does 7 divide m(d)? True Let y be -2*(-2 - (-21)/6). Is 33 a factor of 3 + y + 3 + 41? False Suppose -7*k = -28*k + 9786. Is 4 a factor of k? False Let b = -14 + 17. Suppose 2*w - w - b*r - 46 = 0, -3*w + 82 = 5*r. Is w a multiple of 20? False Let w(d) = 18*d**2 + 7*d - 18. Is w(6) a multiple of 14? True Let t = -392 + 698. Does 18 divide t? True Let h = -337 + 188. Let u = -33 - h. Suppose 3*d + d = -2*c + 72, 0 = 4*c + d - u. Is c a multiple of 14? True Suppose -271 = -3*o - 5*z, 4*o - 2*z = -0*z + 370. Suppose -v = -0*v - o. Is 23 a factor of v? True Is 18 a factor of 8/(-52) + -1 + (-25980)/(-39)? False Let j(k) = 2*k**2 + 5*k - 6. Let l be j(-6). Let s = 80 - l. Let d = s - 28. Is d a multiple of 7? False Let x be (24/16)/(1/48). Let g = x - 18. Is 39 a factor of g? False Suppose -3*g + 4*q + 908 = 0, g = -0*g + q + 302. Does 12 divide g? True Let i(a) = 52*a. Suppose 0 = 3*g - 6*g + 6. Let b be i(g). Suppose -4*u + b = -2*u. Is u a multiple of 26? True Let a(c) = 14*c - 5*c**2 - 7*c + 4 - c**3 + 3*c. Let f be a(-7). Let o = -22 + f. Does 3 divide o? False Let w be 0 + -1 + 15/(-5). Let r be (-1 + 2)*(0 - w). Suppose -5*l + r*q + 102 = 0, -6*l + 120 = -l + 5*q. Does 7 divide l? False Let s = -32 + 72. Let d be (-476)/(-10) + 16/s. Does 12 divide (d/10)/(9/45)? True Suppose 0 = -6*s + 2*s + 8. Suppose -s*h = 4*h - 252. Is 6 a factor of h? True Let y(k) = 44*k**3 + 4*k**2 - 19*k + 5. Does 16 divide y(4)? False Let p(z) = -z - 11. Let r(b) = b - 32. Let f be r(0). Let h = f + 18. Does 3 divide p(h)? True Let t = -322 - -1041. Does 16 divide t? False Let o = 2117 + -2016. Does 4 divide o? False Is (-22 - -10)*(-18)/4 a multiple of 24? False Is (-6 - -8)*17/4*10 a multiple of 10? False Suppose 2 = -2*o - 4*p + 118, -2*o = -4*p - 100. Suppose -21*l + o = -18*l. Is l a multiple of 9? True Suppose 0 = -15*x + 674 + 856. Is 6 a factor of x? True Suppose 2*o - 1004 = -12*u + 8*u, -4*o + 3*u = -2019. Does 42 divide o? True Let u(r) = 2*r - 9. Let z be u(5). Let c(j) = j + 4*j + z - 8*j + 13. Is 11 a factor of c(-7)? False Let i be ((-1)/(-1))/(14/(-3052)). Let g = i - -456. Does 17 divide g? True Suppose 0 = -0*w + 3*w - 15. Suppose -k + 26 = -w*p, 5*p - 2*k + 14 = 2*k. Does 15 divide (-305)/(-10) + 3/p? True Let x be 2/3 - (-6)/(-9). Suppose p - 38 = -4*u + 2*u, 3*p - 72 = -4*u. Suppose -m + v + u = x, -5*m = -2*m - 4*v - 63. Is 8 a factor of m? False Let r(o) = -o**2 + 1. Let k be r(-1). Suppose 3*y = -k*j + 4*j - 155, 94 = 2*j + 4*y. Does 5 divide j? False Let r = 29 + 560. Is 13 a factor of r? False Let y = 12 - -3. Let i = y + -11. Suppose 7*w = i*w + 165. Is 15 a factor of w? False Let g(o) = 116*o**3 - 17*o + 13. Is g(3) a multiple of 28? False Let z(y) = -62*y - 5. Does 23 divide z(-4)? False Suppose 174960 = 38*j + 2*j. Is j a multiple of 9? True Let c be (-1 - (2 - 1))/1. Let m(f) = f + f**2 + 7*f**2 - f**2 + 1 - 3*f**2. Does 13 divide m(c)? False Let c be (0 + 1)*(5 + -4 - -28). Suppose 10*n = 41 + c. Does 2 divide n? False Suppose -16*u = -0*u - 688. Let p = 145 - u. Is 34 a factor of p? True Suppose 3106 = 29*z - 2056. Is 2 a factor of z? True Suppose -9 = 5*y + 1. Let i = y + 7. Suppose -i*g + 230 = -0*g. Is g a multiple of 23? True Suppose -4*i = -16 - 76. Let g = i + 27. Suppose 2*l + 2*j - g = -2*j, 20 = -5*j. Is 25 a factor of l? False Suppose -5*m = -643 + 88. Let o be 2*(-10)/(-4 - 1). Suppose -g = -o*g + m. Does 12 divide g? False Let q(r) = -r**3 - r**2 + 133. Suppose -5*n = 2*u + 10, -2*n = -5*u - 0 + 4. Let b be q(u). Let x = b + -76. Does 12 divide x? False Suppose 0 = -21*f - 2*f + 71346. Does 32 divide f? False Let f(d) = -3*d**3 + 155*d**2 - 53*d - 28. Is f(51) a multiple of 7? True Suppose 4*n = 0, 5*z - 3*n = 2*z + 585. Does 15 divide z? True Let a(t) = t**3 + 31*t**2 + 58*t + 12. Let o be a(-29). Let k(w) be the first derivative of -w**3/3 + 7*w**2 + 24*w - 1. Does 6 divide k(o)? True Suppose 2*n - 47 - 97 = 0. Is n/(-21)*35/(-10) a multiple of 11? False Suppose -19*i = -22*i + 219. Is 5 a factor of i? False Let m be 4/10 + 4/(-10). Suppose 2*c + 578 = -5*l + l, -5*l = -5*c + 760. Does 11 divide l/6*(-2 - m)? False Is 10 a factor of 15/2*(8 - -20)? True Let c be ((4420/12)/1)/((-3)/(-18)). Suppose 258 = -8*o + c. Does 13 divide o? False Suppose -5*b + 8*u + 8941 = 6*u, -3*b + 5377 = 5*u. Is b a multiple of 9? False Let n = 548 + -328. Suppose -5*i = -5*d - n, -2*d = -2*i + 2*d + 88. Is i a multiple of 12? False Suppose -2*w + 5*w + d = 1254, 5*w = -d + 2092. Is w a multiple of 63? False Is 47 a factor of (-17)/(139/282 + 14/(-28))? True Is (-553)/(-14)*(-5 + 15) a multiple of 79? True Let r(x) = 77*x**3 + 12*x**2 - 22*x - 4. Is r(3) a multiple of 73? True Suppose 4*b - 84 + 0 = 0. Let t = 55 + b. Is 10 a factor of t? False Suppose u - 2*u + 15 = 3*a, 0 = 3*u + 2*a - 10. Suppose 2*m - 5*m + 129 = u. Is m a multiple of 13? False Let r(x) = x**3 + x**2 + x + 13. Let g be r(0). Suppose 437 = g*n + 34. Does 26 divide n? False Let v be 6/(-30) - 208/10. Let x be 159/21 + 12/v. Does 6 divide (-1 + 4)*(15 - x)? True Suppose 4*n - 3 = 9. Suppose 95 = n*p - 319. Suppose -m + 4*m = p. Does 23 divide m? True Let i(x) be the third derivative of 19*x**5/60 - x**4/24 + x**3/3 - 13*x**2. Does 2 divide i(1)? True Let r = 8 - 6. Let n(w) = -3*w - 7 + 0*w + r*w + 7*w. Is n(4) a multiple of 8? False Let r(i) = 5*i + 652. Is r(-18) a multiple of 23? False Suppose 143 + 4 = 3*z. Suppose 66 = 5*y - z. Is y a multiple of 6? False Let j be (-2905)/(-28) - (1/4)/(-1). Suppose l + l - j = 0. Is 13 a factor of l? True Does 3 divide ((-4116)/(-8))/7*12/7? True Suppose k + 24*k = 14350. Is 41 a factor of k? True Let r(l) = 6*l**2 + 51*l + 1. Is r(5) a multiple of 14? True Suppose -x = -73 - 465. Suppose -5*m + l = -663
{ "pile_set_name": "DM Mathematics" }
Sort -103, 1, -4, 5, -1 in ascending order. -103, -4, -1, 1, 5 Put 0.583, 3, 4/5, 2, -1 in descending order. 3, 2, 4/5, 0.583, -1 Sort -1099, 1/2, -2/7 in descending order. 1/2, -2/7, -1099 Put -1/2, 0, -0.3, 1/69 in increasing order. -1/2, -0.3, 0, 1/69 Put 295, 2, 1, 4/7 in ascending order. 4/7, 1, 2, 295 Sort -2/5, -4/11, 1, -2, -1/4 in increasing order. -2, -2/5, -4/11, -1/4, 1 Sort -31, 0, -0.5, 4 in increasing order. -31, -0.5, 0, 4 Put 0.07, 4, 5/3 in descending order. 4, 5/3, 0.07 Sort -1/3, 3, -11, -50 in decreasing order. 3, -1/3, -11, -50 Put -1, -9, -135, 4 in descending order. 4, -1, -9, -135 Put 5, -1, -3, 314 in ascending order. -3, -1, 5, 314 Sort 1/12, 1.9, 0.2, 5/4 in descending order. 1.9, 5/4, 0.2, 1/12 Put -0.1, -4/3, -4, 0.4, 2 in descending order. 2, 0.4, -0.1, -4/3, -4 Put -2/11, -3, -0.3, 12, 0.1 in decreasing order. 12, 0.1, -2/11, -0.3, -3 Sort -5, 5/6, -1/10 in increasing order. -5, -1/10, 5/6 Put -1, 1, -3, -90, 5 in decreasing order. 5, 1, -1, -3, -90 Put 1, 224, 5 in increasing order. 1, 5, 224 Sort -3, 0, 10, -2. -3, -2, 0, 10 Put -2/11, 9, 8 in increasing order. -2/11, 8, 9 Put -2, -2/5, 1/4, 0.2 in ascending order. -2, -2/5, 0.2, 1/4 Sort 7, 33, -5. -5, 7, 33 Sort -2, 3/2, 81, -0.5 in increasing order. -2, -0.5, 3/2, 81 Sort -86, 3, 0, -3. -86, -3, 0, 3 Put 21, 5, 1, 4, -4 in ascending order. -4, 1, 4, 5, 21 Put 0, 7, -6, 0.5 in descending order. 7, 0.5, 0, -6 Sort -5, -3, 86, 1 in decreasing order. 86, 1, -3, -5 Sort 5, -4, -5, 0, -260 in decreasing order. 5, 0, -4, -5, -260 Put 19, 0.5, -19 in descending order. 19, 0.5, -19 Sort 1, 11, 0, 5, -39. -39, 0, 1, 5, 11 Sort 2/5, -7, 5, -0.1, -19 in descending order. 5, 2/5, -0.1, -7, -19 Sort -374, -0.4, 2, 0 in increasing order. -374, -0.4, 0, 2 Put 2, -39, 5 in descending order. 5, 2, -39 Sort 5, 2, 0, -7, -3 in descending order. 5, 2, 0, -3, -7 Sort -1/3, 1/7, -10/11, 1 in descending order. 1, 1/7, -1/3, -10/11 Sort 2/3, -5/2, -1/7 in increasing order. -5/2, -1/7, 2/3 Sort -1/4, 0.1, 1.9 in ascending order. -1/4, 0.1, 1.9 Sort 2, -64, -4 in decreasing order. 2, -4, -64 Sort -2, 1/3, 1.5 in decreasing order. 1.5, 1/3, -2 Sort 0, -3, -681 in descending order. 0, -3, -681 Put -2, -1009, -0.2 in descending order. -0.2, -2, -1009 Sort -1/5, 2/5, 1, 83 in ascending order. -1/5, 2/5, 1, 83 Put 5, 470, -5 in descending order. 470, 5, -5 Put 0.5, 0.2, 76, 4 in descending order. 76, 4, 0.5, 0.2 Sort 4114, -4, 0.5 in decreasing order. 4114, 0.5, -4 Sort -1/4, 0.2, -4, -0.3, -0.1. -4, -0.3, -1/4, -0.1, 0.2 Put -1, -0.14, 0.1, -2/47, -0.1 in descending order. 0.1, -2/47, -0.1, -0.14, -1 Put -1, -34, -6, 0 in decreasing order. 0, -1, -6, -34 Sort -3, 2, 1, -2/29 in descending order. 2, 1, -2/29, -3 Sort -1, 44, -28 in increasing order. -28, -1, 44 Put -3, 1, -1, 55 in decreasing order. 55, 1, -1, -3 Put 0.1, 3, 0.02, 3/4 in decreasing order. 3, 3/4, 0.1, 0.02 Sort -19, -2, 4 in descending order. 4, -2, -19 Put 12, 71, -8 in decreasing order. 71, 12, -8 Sort 2, 14/61, -0.5 in decreasing order. 2, 14/61, -0.5 Sort 0.2, 5, 2/15, -0.5, 0. -0.5, 0, 2/15, 0.2, 5 Sort -54, 1, -11 in descending order. 1, -11, -54 Sort -5, 9, 1, -12, -4 in increasing order. -12, -5, -4, 1, 9 Put 3, 2, -9/2, 1, -1/2 in increasing order. -9/2, -1/2, 1, 2, 3 Sort 0.5, -5, -1/4, -4, -7. -7, -5, -4, -1/4, 0.5 Put 1, 13, -2, -5 in descending order. 13, 1, -2, -5 Sort -23, 158, 1. -23, 1, 158 Sort 378, -0.3, 1/2 in descending order. 378, 1/2, -0.3 Put 4, 2, -2, 1.3 in decreasing order. 4, 2, 1.3, -2 Sort 3, -54, -3 in decreasing order. 3, -3, -54 Sort -0.26, -1, -5. -5, -1, -0.26 Put -2, -5, 12, -1, 1 in descending order. 12, 1, -1, -2, -5 Sort -22, -4, 4, 1, -10 in decreasing order. 4, 1, -4, -10, -22 Put 1, 46, 4 in increasing order. 1, 4, 46 Put -3/7, 14, 23/10 in ascending order. -3/7, 23/10, 14 Put 4, 5, 17 in increasing order. 4, 5, 17 Sort -2, 5, 6, 4. -2, 4, 5, 6 Sort -110, 2, 6 in increasing order. -110, 2, 6 Sort -2, -6, 3 in increasing order. -6, -2, 3 Put -5, -196, 2/11 in decreasing order. 2/11, -5, -196 Put 3, -11, -3, -2 in descending order. 3, -2, -3, -11 Sort 1, 3/7, -3, 1/2. -3, 3/7, 1/2, 1 Sort 1, 0.048, -1/10 in increasing order. -1/10, 0.048, 1 Sort 5, -2/25, 0.05, 1 in decreasing order. 5, 1, 0.05, -2/25 Put -2, 31, 4, -63 in descending order. 31, 4, -2, -63 Put 0.2, -0.13, -2/5 in descending order. 0.2, -0.13, -2/5 Sort 2/5, 0.3, 2/3, 1.2. 0.3, 2/5, 2/3, 1.2 Put 0.3, 8, -209 in increasing order. -209, 0.3, 8 Sort 2/17, -4, 2, 2/3 in decreasing order. 2, 2/3, 2/17, -4 Put 1, 26, -3, 3 in increasing order. -3, 1, 3, 26 Put 0, -2/17, -27, -1 in descending order. 0, -2/17, -1, -27 Sort 2, 6, -9 in ascending order. -9, 2, 6 Sort 2, 7, 0, 3, -1 in decreasing order. 7, 3, 2, 0, -1 Sort -2, 1, -4/11, -1/5. -2, -4/11, -1/5, 1 Sort 5, -2/5, -179, 3/7 in decreasing order. 5, 3/7, -2/5, -179 Put -6678, 0, -4 in increasing order. -6678, -4, 0 Sort -0.07, 2/161, 17/3 in descending order. 17/3, 2/161, -0.07 Sort -1, -5, -2, -4 in ascending order. -5, -4, -2, -1 Sort 4, 1, -7, -5, -2 in decreasing order. 4, 1, -2, -5, -7 Sort -0.5, 0.2, 3/5, -2.1 in descending order. 3/5, 0.2, -0.5, -2.1 Put 11, -25, 4 in increasing order. -25, 4, 11 Sort 0.5, -0.4, -1 in increasing order. -1, -0.4, 0.5 Sort -0.02, -2/15, -2, 28.4. -2, -2/15, -0.02, 28.4 Sort -2/15, 11, 3, -5 in descending order. 11, 3, -2/15, -5 Sort 4/3, -3, 2/15, -39 in ascending order. -39, -3, 2/15, 4/3 Put 3, 5, 18, -14 in ascending order. -14, 3, 5, 18 Sort 4, 37, 1 in decreasing order. 37, 4, 1 Sort 3/31, -4, -0.5, 2/3 in increasing order. -4, -0.5, 3/31, 2/3 Sort -9, 1, 4, 9 in descending order. 9, 4, 1, -9 Put -2, -1, 2/17, 0.25, 0.2 in ascending order. -2, -1, 2/17, 0.2, 0.25 Put -7, -1, -6, 2 in decreasing order. 2, -1, -6, -7 Sort -0.5, -95, 5, -0.7 in ascending order. -95, -0.7, -0.5, 5 Put -3, 4, -1, 38 in decreasing order. 38, 4, -1, -3 Sort 2, 18, -2, -5, 3. -5, -2, 2, 3, 18 Sort 0.15, 0.1, 0.5, 75 in decreasing order. 75, 0.5, 0.15, 0.1 Sort 0.93, -1/9, -54, 3/4 in descending order. 0.93, 3/4, -1/9, -54 Sort 10, -30, -1 in descending order. 10, -1, -30 Put -6, -60, 0 in descending order. 0, -6, -60 Sort 0.32, -2, 0 in increasing order. -2, 0, 0.32 Put 0.07, -2/3, -0.84 in increasing order. -0.84, -2/3, 0.07 Sort -23, 6, 1. -23, 1, 6 Put -18, -0.1, -1/5, -2 in decreasing order. -0.1, -1/5, -2, -18 Sort -8, 134, -3 in ascending order. -8, -3, 134 Sort 2, 1/3, 0.5, -17 in ascending order. -17, 1/3, 0.5, 2 Put 1, 586, -2 in ascending order. -2, 1, 586 Sort 0.06, -2/15, 0.1 in descending order. 0.1, 0.06, -2/15 Sort -1, -23, 2, 3 in ascending order. -23, -1, 2, 3 Put 0, -1, 5, 12, -3 in descending order. 12, 5, 0, -1, -3 Sort 0, -2, -504 in descending order. 0, -2, -504 Put -4, -2/3, 3, -7 in ascending order. -7, -4, -2/3, 3 Put -4, -23, 3 in decreasing order. 3, -4, -23 Put 0.5, 42/13, 1 in decreasing order. 42/13, 1, 0.5 Put 40, 3, 4 in descending order. 40, 4, 3 Sort 0, -4, -2208, -5 in decreasing order. 0, -4, -5, -2208 Put -2/17, 2/5, 5, 3, 1 in descending order. 5, 3, 1, 2/5, -2/17 Sort -1/2, 19, 0.2, 1 in descending order. 19, 1, 0.2, -1/2 Sort 3/4, -0.3, 0.5, -5. -5, -0.3, 0.5, 3/4 Put 6/7, 0.3, 4173, -5 in ascending order. -5, 0.3, 6/7, 4173 Sort -1/86, 4, 0 in decreasing order. 4, 0, -1/86 Put 0.3, 4, -6, 10, 2 in decreasing order. 10, 4, 2, 0.3, -6 Sort 4, 4384, -5 in ascending order. -5, 4, 4384 Sort 5, -4, -5 in ascending order. -5, -4, 5 Sort 0.09, -1, 8. -1, 0.09, 8 Sort 9, -5, -1, 4 in decreasing order. 9, 4, -1, -5 Sort -5, -184, -2 in increasing order. -184, -5, -2 Put -1.5, -3, -4/7, 2/17, 3 in ascending order. -3, -1.5, -4/7, 2/17, 3 Sort -5, -2, 41, 5 in descending order. 41, 5, -2, -5 Sort -13, -5, -4 in descending order. -4, -5, -13 Put -5/4, -3, -1/3, 0.09 in decreasing order. 0.09, -1/3, -5/4, -3 Sort 4, 0.4, 0.2, 12/5. 0.2, 0.4, 12/5, 4 Put 3, 2, 728 in descending order. 728, 3, 2 Put -4, 9, 4, -3 in decreasing order. 9, 4, -3, -4 Sort -3, -978, 3 in increasing order. -978, -3, 3 Sort 9, 5, 18 in increasing order. 5, 9, 18 Sort -1, 237, -5, -3. -5, -3, -1, 237 Sort 8, -0.3, 1/3, -0.5, 3. -0.5, -0.3, 1/3, 3, 8 Put 0, -5, 5, -12 in increasing order. -12, -5, 0, 5 Sort 0.5, -2/7, -2082 in ascending order. -208
{ "pile_set_name": "DM Mathematics" }
f. Is s a multiple of 43? True Let z be (-493)/(8 - (8 + -1)). Let x = 1045 + z. Is x a multiple of 6? True Let b be -6*(-12)/9 - -25. Suppose -168 = 4*v - 4*k, -4*v - 4*k = 62 + 130. Let p = b - v. Is 26 a factor of p? True Suppose 0 = -4*x - 0 - 104. Let h(y) = -y - 24. Let u be h(x). Suppose -u*j = -184 - 104. Does 18 divide j? True Let w(v) = -2*v - 9. Let c be w(-14). Suppose m = -c*f + 15*f + 5751, 0 = -5*f - 3*m + 7187. Is 20 a factor of f? False Suppose p - 12896 = -m, 0 = 4*m + 62*p - 60*p - 51590. Does 46 divide m? False Suppose 86871 = -13*a + 7*a + 29*a. Is 8 a factor of a? False Let v = 24698 + 19087. Is v a multiple of 139? True Let r(x) = -231*x + 695. Let w be r(3). Suppose -39 = 4*h - 415. Suppose -b + 362 = 4*m, -m - w*b + 0*b = -h. Is m a multiple of 30? True Let d(h) = -6*h**2 - 4*h - 4. Let s be d(-2). Let j = s - -58. Suppose -3*x + 61 = 3*p + 13, 3*p - j = 2*x. Is p a multiple of 7? True Let i(d) = -3*d**3 - 19*d**2 + 21*d + 28. Let o(s) = 2*s**3 + 12*s**2 - 13*s - 19. Let u(v) = 5*i(v) + 8*o(v). Let h = -11 + 16. Is u(h) a multiple of 13? True Suppose 0 = 5*y - 2*v + 4316, -4*y + 8*v = 3*v + 3446. Let z = -338 - y. Suppose 4*x + x = -j + z, -4*x = -5*j - 415. Does 35 divide x? True Let x be (-36)/(-15) - (1 - 56/35). Suppose 4*u + f = 572, 45 + 87 = u + x*f. Is 9 a factor of u? True Let q = 598 - 133. Is 31 a factor of (q/(-20))/(6/(-40))? True Let x(h) = 35*h**2 + 10*h - 38. Let l be x(7). Suppose 0 = 5*m + y - l, 2*m + 2*m - 1415 = 5*y. Is m a multiple of 7? True Is 93 a factor of 9/(-90) + (-164302)/(-20) + -10? False Suppose 0 = -6*m + 11*m - 2*g - 1439, -5*g - 871 = -3*m. Suppose -6*o - 429 = -3*o. Let x = o + m. Is x a multiple of 12? True Let n be 57/11 + (0 - 4/22). Suppose 7*x = 4*d + 2*x + 2, n*x - 12 = -d. Suppose -l - 30 = -d*l. Is 19 a factor of l? False Suppose 40585 = 15*k - 43655. Is 5 a factor of k? False Does 64 divide 11/1 + 2 - -6757? False Suppose -41*q = 31*q - 96*q. Suppose 0 = 3*v - 634 - 1256. Suppose 7*s - v = -q*s. Is 30 a factor of s? True Let g = 50 - 50. Suppose g = -0*j + j + 68. Let d = 16 - j. Is d a multiple of 28? True Suppose -4*v - 2*j + 6 = -0*v, -v + 4*j - 12 = 0. Suppose 3*h - 25*h + 5456 = v. Is h a multiple of 62? True Let v = -7465 - -12728. Does 115 divide v? False Let f be (1 + -1)/(5 + -1 + -5). Suppose 3*b = -5*v + 1335, f = 3*v - b - 0*b - 815. Is v a multiple of 9? True Let s = -8285 - -11935. Is 73 a factor of s? True Suppose 6 = -2*d + 4*y, 0*d - 4*y + 3 = -3*d. Suppose 0 = d*j - 2294 + 836. Is 18 a factor of j? True Let v be ((-11)/(44/24))/(-2) + -1. Suppose 3 = 3*q + 18, -v*q + 104 = 3*i. Does 10 divide i? False Let d(n) = 212*n**3 - 2*n**2 + 5*n - 4. Let s = -265 + 266. Is d(s) a multiple of 11? False Suppose -260 = -2*w + 2*p, 391 = 3*w + 37*p - 39*p. Is w even? False Suppose -6*t + 115 - 7 = 0. Suppose -t*r - 80 = -23*r. Is r even? True Let s = 2611 - -9549. Is s a multiple of 80? True Suppose -5508 = -d - 3*c, d + 0*c - 5444 = 5*c. Does 216 divide d? False Suppose -5*m + 825 = 2*w, -496 = -m - 2*m - w. Suppose 8*c - 4*c + 3*p = 475, 227 = 2*c + 5*p. Let v = m - c. Is 17 a factor of v? False Suppose 7*x + 13 = 55. Suppose -x*n + n + 40 = y, -5*y + 345 = -4*n. Let b = y - 60. Is 5 a factor of b? True Suppose -3*g = 4*b - 356, 2*g - 7*g = 2*b - 598. Let w = g + -84. Does 18 divide w? True Let s(c) be the first derivative of -57*c**2/2 - 114*c + 27. Is 27 a factor of s(-5)? False Suppose -27*s - 25 = -700. Does 25 divide (1 - (-627)/5)/(10/s)? False Let d be 5/((-90)/(-88) - 1). Suppose -19*b + b - 6 = -20*b. Suppose -4*j - m + 347 = 0, 42 + d = b*j - m. Is 15 a factor of j? False Let g = 949 - -78. Suppose -g = -4*y + 3*i, -5*y + 1250 = 3*i - 0*i. Is y a multiple of 15? False Is 6636/(-56)*(-48)/18 a multiple of 5? False Let q(i) = 34*i**2 + 3. Let h be q(-3). Let c(r) = -r**3 - 11*r**2 - 4*r - 19. Let f be c(-8). Let z = f + h. Does 30 divide z? False Let q be 758 - ((-5)/(5 + 0) - 0). Let b = q + -457. Is 7 a factor of b? False Let w = -1 - -1. Let i be 3/((-2)/(-2) - w/(-2)). Suppose -a + 81 = p - 6*a, -3*p - i*a = -297. Is p a multiple of 32? True Suppose 5 = -5*t + 25. Let p = 7 - t. Suppose -2*d - o + 64 = 4*o, 3*d - 75 = p*o. Is d a multiple of 3? True Let w = -445 - -1233. Suppose -n + 2*u + 398 = 0, 21*u = -2*n + 23*u + w. Is 65 a factor of n? True Let k = 3392 - 1614. Suppose 8*m - 702 = k. Suppose 135 + m = 5*n. Is 21 a factor of n? False Suppose 5*a - a = 5*u - 25, -4*a = 3*u + 17. Let b(y) = 2*y**2 + y - 1. Let v(t) = t**3 - 5*t**2 + t + 7. Let g(h) = 6*b(h) + v(h). Does 3 divide g(a)? False Suppose g = m - 3*m + 661, -2*g = -m + 338. Let x = m + -157. Is x a multiple of 5? True Is 55/(-22)*(-286752)/120 a multiple of 42? False Let h = -30 + 65. Suppose -17 = -4*o + h. Does 17 divide 72*(o/(-4) + 4)? False Let u(h) = -11 - 3*h + 32*h + 52*h - 2*h - 2*h. Does 11 divide u(16)? True Let v(x) = -41*x**2 + 45*x**2 - 6*x + 2 - 5. Does 8 divide v(5)? False Suppose 0 = 5*f - 13*c + 11*c - 503, c + 4 = 0. Let s = f - -16. Is 4 a factor of s? False Let f = 128217 + -76418. Does 17 divide f? True Suppose -12*d + 15312 = -8028. Does 88 divide d? False Let w = -3497 - -4897. Does 20 divide w? True Let j(t) = 2*t**2 + 14*t + 11. Let k = 81 - 31. Suppose -n = n - 5*s - 3, 5*n - s = -k. Is j(n) a multiple of 39? False Let y(s) = 9*s + 20. Let r(k) = -10*k - 20. Let j(t) = 6*r(t) + 7*y(t). Let a be j(-10). Let q(h) = h**3 + 10*h**2 - 4*h - 1. Does 8 divide q(a)? False Let a be (-2 - 6361)/(-3) - 1. Let i be 7 + 3 + 1 + 7. Is 8 a factor of (-3)/i + a/48? False Let k = -4370 + 9587. Is 141 a factor of k? True Suppose -2 = -a - 0. Let k = -107 + a. Is (-4)/(-30) - (1876/k + 4) a multiple of 3? False Suppose 0 = -632*t + 629*t + 2358. Suppose -16*l - t = -3346. Is l a multiple of 7? False Let b = -115 - -107. Is (-349)/b + (-27)/(-72) a multiple of 9? False Let m(h) = 8*h - 31. Let l be m(19). Suppose -l - 1499 = -5*r. Suppose -3*v - 3*i + 202 = 10, -5*v = 3*i - r. Is v a multiple of 6? True Let l = 71 - 65. Is 9/l*(-2580)/(-5) a multiple of 9? True Suppose 5*u - 9*u + 564 = 4*p, 0 = -2*p + 3*u + 312. Is p a multiple of 10? False Let j(w) = 4 - w - 7 - w + 33. Let s be j(9). Is -3*(-704)/s + 2 a multiple of 34? False Suppose 7*m - 100 = 1048. Suppose m = -8*u + 12*u. Let z = u + -13. Is 12 a factor of z? False Let q = -726 + 1346. Is 6/4*q/(-18)*-15 a multiple of 55? False Let i(s) = -s**3 + 13*s**2 - 30*s + 3. Let m be i(4). Let u be 130/(-18) - 2/(-9). Does 29 divide m*3 + u + 5? False Let w = 356 + -328. Suppose -w*x = -34966 - 146. Is x a multiple of 19? True Suppose 2*o = 5 - 35. Let r(f) = 2*f**3 + 34*f**2 + 59*f + 42. Let q(v) = v**3 + 17*v**2 + 30*v + 21. Let p(x) = -5*q(x) + 2*r(x). Is 9 a factor of p(o)? True Suppose -380713 - 380626 = -108*o - 24563. Is 24 a factor of o? False Is (22368/(-400)*5 + -1*4)*-60 a multiple of 24? True Suppose 0 = -u + 4*s - 0*s + 17, -s + 7 = 2*u. Let z(f) = -f**2 - 23*f - 81. Let o be z(-10). Let h = o - u. Is h a multiple of 19? False Suppose -9*y + 228 = -6*y. Suppose 3*q + q - 16 = 0. Suppose q*l - 100 - y = 0. Does 9 divide l? False Let h be -4*2/(-44) + 582/66. Is (837/h)/(3 - (-54)/(-20)) a multiple of 17? False Let l = -2302 - -2942. Does 10 divide l? True Let s be 33/(-198) - (-25)/6. Is (-1)/s - 5288/(-32) a multiple of 18? False Let g(b) = 624*b**3 + 4*b**2 - 5*b + 3. Is g(1) a multiple of 11? False Suppose 41*y + 8 = 45*y. Let n be (-618)/(-12) - (-2)/4. Suppose 2*b - 116 = -y*f, f = b + b + n. Is f a multiple of 15? False Suppose 29*j - 397414 - 306242 = 0. Does 54 divide j? False Let k = 560 + -555. Suppose -2*z = 5*i - 1037, -z - 36 + 562 = -k*i. Is 6 a factor of z? False Let f(y) = 10*y + 130. Suppose -4*m = 7 - 23, 2*m = 4*a - 84. Is 12 a factor of f(a)? True Let s = -62 - 292. Let c = 54 - s. Does 17 divide c? True Suppose 6*i = -2*i. Suppose i = -2*a - 6, l + 3*a - a - 8 = 0. Suppose -17*z = -l*z - 240. Does 8 divide z? True Let v = 88913 - 49865. Is v a multiple of 18? False Let y(j) = 243*j + 551. Is 12 a factor of y(5)? False Let a = -7981 - -17296. Is 27 a factor of a? True Let g = -36 + 3867. Suppose -12*o + 1569 = -g. Does 15 divide o? True Suppose x + 10*x = -55. Let g(m) = 26*m**2 + 6*m + 23. Is g(x) a
{ "pile_set_name": "DM Mathematics" }
, 0, g, i Let i = -21772 + 21753. Sort -3, 4, -2, -21, i in ascending order. -21, i, -3, -2, 4 Let l be (3*-2)/((-1170)/156). Let g be 0 - 1*43*-3. Sort g, 1/7, l. 1/7, l, g Suppose 36*i + 11*i - 470 = 0. Put 9, -2, i, 4, -5 in ascending order. -5, -2, 4, 9, i Let h(t) = 3*t + 24. Let c(i) = i**2 - 3*i - 25. Let k be c(6). Let y be h(k). Sort y, 1, -3, 4. -3, 1, y, 4 Let o = 22 - 19. Suppose -2*s + 11 = -3*d, -o*s - 4*d + 8 = -0. Let z be -2 + (12/(-14))/(22/(-77)). Sort s, z, -5 in ascending order. -5, z, s Let u = -6614 - -6613. Sort -5, u, 4, 2, 1 in increasing order. -5, u, 1, 2, 4 Let m be (554/(-92))/(3/6) + 2. Let d = m + 26/69. Let b = 139/15 + d. Sort b, 0.1, 3/5, 1/2 in increasing order. b, 0.1, 1/2, 3/5 Let n(p) = -p**3 + 2*p**2 - 220*p + 907. Let u be n(4). Sort -2, -1, u, 1, 2. u, -2, -1, 1, 2 Let a = -0.237 + -193.763. Let u = a + 200. Sort 3, u, 5 in decreasing order. u, 5, 3 Let n = 20.6 - 21. Let a = n - 0. Suppose -f + 8*f = 14. Sort 32, a, f. a, f, 32 Suppose -18*m + 10851 = 56*m - 1063. Put 5, m, 1, -1 in increasing order. -1, 1, 5, m Let y be -164 + 8/(-2) + (-5 - -5 - -6). Put y, -3/5, -3 in descending order. -3/5, -3, y Let q = -2184.6 - -2185. Sort 1/4, 4, q, 0.37 in decreasing order. 4, q, 0.37, 1/4 Let s(u) = -u**2 - 13*u - 17. Let x be s(-12). Let h = -1/799 - -1611/10387. Sort h, 4, x, -3 in increasing order. x, -3, h, 4 Let g be (-9)/27*(-58 + 67). Sort -254, 5, g. -254, g, 5 Let h be (-39)/(-2)*(-38 + 36). Put 1, h, 4 in increasing order. h, 1, 4 Let s be (-337 - -328) + (-4)/(-1). Sort -1, s, -9, -7 in decreasing order. -1, s, -7, -9 Let h(o) = -4*o**2 - 11*o + 18. Let b be h(4). Let g be 2/(-9) + (-5)/b*-86. Sort g, 1, -0.1 in ascending order. g, -0.1, 1 Let t = 15.75 + -17.75. Put t, -2/11, 0, -0.8, -4 in descending order. 0, -2/11, -0.8, t, -4 Let k(c) be the third derivative of -c**5/60 + c**4/3 + 40*c**3/3 + 121*c**2 + 2*c. Let g be k(14). Sort 9, 3, g, -5 in descending order. 9, 3, g, -5 Let o(j) = -j**3 - 21*j**2 - 3*j - 52. Let q be o(-21). Suppose -4*b - 10 = 3*n - n, 0 = -n - 5*b - q. Sort n, 5, -15 in descending order. 5, n, -15 Let k = -0.71 + 0.61. Let f = -12.59 + 50.29. Put k, 2/11, f in ascending order. k, 2/11, f Let d = -283 + 295. Let x = -323.1 + 323. Sort -6, d, x. -6, x, d Let i be 12 + -2*(-238)/(-28). Sort i, -775, -2 in descending order. -2, i, -775 Let o = -6.8 - 44.2. Let h = -9.1 + 64.1. Let f = -60 + h. Put f, o, 2 in decreasing order. 2, f, o Let h be (-5095)/(-40) - 15/40. Let a = h + -131. Let w be (21/(-12))/(3/a). Sort 0, -1/4, w in descending order. w, 0, -1/4 Let y = -7.04 - -7.0876. Let d = y - 0.0476. Let m = -163/56 - -21/8. Sort -1/5, d, -1, m in ascending order. -1, m, -1/5, d Let v = 22/1229 + 1185/2458. Sort 3, v, 0.07 in decreasing order. 3, v, 0.07 Suppose 4*u + 3*w + 48 = 0, -380*u + 381*u + 5*w + 29 = 0. Sort u, -121, -4, -2 in decreasing order. -2, -4, u, -121 Let v(l) = -l**2 - 4*l + 1. Let k be v(-4). Suppose -3*z + 2 = -19. Let x(u) = u + 19. Let y be x(-20). Sort k, z, y in increasing order. y, k, z Let v(m) = m - 2. Let q be v(4). Suppose 94*g = 20*g - 1184. Let c be ((-5)/(-2))/((-4)/8). Sort q, g, c in increasing order. g, c, q Let k(l) = 53*l - 55. Let d be k(1). Sort 3, d, -209, 2 in decreasing order. 3, 2, d, -209 Suppose 1363*g - 1282*g + 729 = 0. Sort -236, 2/3, g in decreasing order. 2/3, g, -236 Let u be (84/6 + -12)*1/7. Put -67, -5, u in increasing order. -67, -5, u Let b = 1817 - 7219/4. Let j = b - 13. Let u be ((-12)/171)/(5/((-30)/4)). Sort 2/5, u, j in decreasing order. 2/5, u, j Suppose 3*x - 10 = -c, 2*c - 4*c = -5*x + 2. Suppose 3*d - 5*a = -16, 15*d = 16*d - 2*a + 6. Sort 5, d, x in decreasing order. 5, x, d Let p(g) = -134*g**2 + 1074*g - 11. Let x be p(8). Let z = -2 + 1. Sort x, -49, z in decreasing order. x, z, -49 Let f be (66/77)/(21/245). Sort 5, f, -7 in increasing order. -7, 5, f Let v = -1486 + 1489. Suppose -3*d + 15 - v = 2*o, o = -3*d + 12. Let b be ((-4)/(-9))/(4/(-6)). Put o, b, 5, 2 in increasing order. b, o, 2, 5 Let w be 303/(-18) + (-391)/2346. Suppose 4*z - 14 = -2*y + 2, -4*y - 4 = -4*z. Sort -5, z, 4, w in descending order. 4, z, -5, w Let y(o) be the second derivative of o**3/3 + o**2 + 258*o. Let b be y(1). Let n = -7 + 3. Sort b, 8, n. n, b, 8 Let y be (-10)/(-1) - (-14 - -22). Let b be (3 + (3 - 7))*-5. Put y, -1, -2, b in increasing order. -2, -1, y, b Let i = 353.16 + -353.06. Put 3/2, i, -0.3, 5, -56 in ascending order. -56, -0.3, i, 3/2, 5 Let g be 12*(-1)/(-2)*285/(-342). Sort 3, g, 0, 178, -3 in descending order. 178, 3, 0, -3, g Suppose 7*y - 3*y = -0*y. Suppose -47*i + i + 46 = y. Sort 2, 20, i in decreasing order. 20, 2, i Let h be 1187/18 + (12 - (-3225)/(-270)). Sort -4, 1, 5, -1, h in decreasing order. h, 5, 1, -1, -4 Let j = 3862 - 3830. Sort j, -3, 5, 1, -2 in descending order. j, 5, 1, -2, -3 Suppose -26*n + 0 = 598. Sort n, -1, -6, 4 in decreasing order. 4, -1, -6, n Let o be 1/(-18)*2/3*(-3024)/(-1344). Put -2/55, -6, o in ascending order. -6, o, -2/55 Let p = 73 + -76. Let i(z) = 7*z - 4. Let r be i(4). Suppose 5 = -r*v + 19*v. Sort p, v, 5, -2. p, -2, v, 5 Suppose -2*t - 5*t = -3*t. Suppose t = 2*s + u + 8, -3*u = -s + u - 4. Suppose -4*z + 3 + 5 = 0. Sort -1, s, z, 7 in ascending order. s, -1, z, 7 Let q be -1 - (-3 - (3 + -7)). Let m be 25 - 38 - (-13)/1. Put -1, m, q, -6 in decreasing order. m, -1, q, -6 Suppose 24*l + 40 = -93 + 13. Sort l, 280, -6, -3, -2. -6, l, -3, -2, 280 Let h = -143 - -1003/7. Let m = 313 + 255. Let z = m - 568.5. Sort -1/9, z, -0.3, h in descending order. h, -1/9, -0.3, z Let x = -108.1 + 108. Let q = 22 + 28. Let g = 42 - q. Put g, x, 1/4, 3 in decreasing order. 3, 1/4, x, g Let s = -750 - -754. Suppose -5*j - 5*y + 20 = 0, -s*y + 14 = 5*j - 6. Sort 2, j, -9 in decreasing order. j, 2, -9 Let f be 16/(-14)*((-2162)/184 - -12). Let n = 0 + 0. Let v = 0.2 - 1.2. Put v, -5, n, f in ascending order. -5, v, f, n Let b be 468*-14*(-3)/111. Let s = b + -177. Sort s, 0, -2/3, 3/5. -2/3, 0, s, 3/5 Suppose -34*x + 31*x - 3*i + 42 = 0, -x + 4*i = -4. Put -5, 6, -3, x in increasing order. -5, -3, 6, x Suppose 0*y = -2*g + 2*y - 66, -4*g - 5*y - 96 = 0. Let i = -189 + 167. Let d = i - g. Sort -5, 3, d, -4. -5, -4, 3, d Let p = -22.6 - -158.6. Let t = -138.4 + p. Let g = 0.04 + 0.16. Put t, g, 0.4 in ascending order. t, g, 0.4 Suppose 0 = 3*s + 2*i - 4*i + 10, -s = -4*i + 10. Suppose 23478 = 57*f + 22167. Sort 0, s, f in descending order. f, 0, s Suppose 3*t - 34 = 7*x, 7 + 5 = 4*t - x. Sort 3, t, -143 in ascending order. -143, t, 3 Let q(k) = -k**2 + k + 5. Let j be q(0). Let g = 51974 - 51979. Sort -21, g, j. -21, g, j Let o = 8374 - 8372. Put o, 3, -18, -1, 7 in descending order. 7, 3, o, -1, -18 Suppose -3368*y = -3369*y + 5. Put -5, y, -124 in descending order. y, -5, -124 Let n be 1 + 0 - (-70)/(-90). Let m be -4 + 2 - (3 + -4). Let v be -3*(m/(-4) - (-133)/(-228)). Put 2, n, v, -2 in descending order. 2, v, n, -2 Let v(x) = -6*x**2 - 33*x + 15. Let j be v(-5). Let d be 4 + (-16)/(128/j). Sort -5/2, 200/7, d. -5/2, d, 200/7 Let s be 4/(-42) - 3/((-1638)/1144). Put s, -5, 496 in ascending order. -5, s, 496 Let k(g) = -g**2 - 6*g - 7. Suppose 0 = x + 11 - 4. Let u(q) = -2*q**2 - 14*q - 2. Let d be u(x). Let t be k(d). Put t, -1, 0, -2 in ascending order. -2, -1, 0, t Suppose -g + n - 2 = -8, -2*g = -3*n - 18. Let b(u) = -3*u + 6. Let r be b(8). Let c be (-12)/r + 46/(-6). Put g, 2, c, 3 in ascending order. c, g, 2, 3 Let d(g) = -5*g**2 - 3*g - 5. Let a be d(-2). Let w = a - -14. Let v be 67/(-268) + (-5)/12. Put v, 3, w in ascending order. w, v, 3 Suppose -9*h - 21 = 105*h + 207. Suppose -c + 10 = -2*c. Sort c, 0, -3, h in increasing order. c, -3, h, 0 Suppose 6*n + 8 = 7*n + d, -d + 23 = 4*n. Suppose 0 = -4*a - a. Let p = -49 - -60. Sort p, a, n in descending order. p, n, a Let b be 8/(-6)*3 - -1623*(-1)/(-3). Sort -5, b, 0.3 in descending order. b, 0.3, -5 Suppose -65*k = -122*k + 69*k + 492. Put -8, k, 2 in ascending order. k, -8, 2 Let y = 5096 - 5095. Put -1, -4, 0, y in descending order. y, 0, -1, -4 Suppose 4*n - c = -0*c - 4, 14 = 3*n - 5*c. Let h be 10/n - (-36)/(36/9). Put -34, 2, h in descending order. h, 2, -34 Suppose 24*f = 165 + 387. Put 3, 6, f, -1 in ascendi
{ "pile_set_name": "DM Mathematics" }
1572*f - 4*q for f. -3 Solve -2*o = -10*m + 2, 625*m = 622*m - 3*o - 3 for m. 0 Solve -4*w - 9122 = 5*v - 9094, -4*w = 3*v + 20 for w. -2 Solve -5*f + 2*w + 1165 - 1144 = 0, 0 = -3*f - 12*w + 39 for f. 5 Solve 4*w - 7*p + 9 = 0, 5*p = 133 - 118 for w. 3 Solve 4*q + 18*b = 15*b - 2, 3*q + 3*b = 0 for q. -2 Solve -2*l = -z + 4, 89 - 61 = 3*z + 2*l for z. 8 Solve -5*h + 4*d = 5, 4*d = -19*h + 3*d + 62 for h. 3 Solve -52*c + 5*z + 56 = -38*c, -2*c + 2*z = -8 for c. 4 Solve -3*m = -7*a + 2*a + 20, 0 = 2*a - 4 - 4 for m. 0 Solve -562*a - 30 = -557*a - t, 2*a + t + 12 = 0 for a. -6 Solve -2*p + 3*c = 63*c - 124, -5*p - 5*c + 20 = 0 for p. 2 Solve -10*a = 2*o + a, 15*o - 2*a = 14*o for o. 0 Solve -d - 18 = 5093*o - 5096*o, -4*o - 5*d = -43 for o. 7 Solve 5*x + 520*r + 70 = 515*r, 2*x - 4*r + 10 = 0 for x. -11 Solve -4*b - 3*f = 20, -3*b - 5*f - 188 = -173 for b. -5 Solve 2*k = 2*n - 12, 1443*n - 5*k = 1440*n + 26 for n. 2 Solve -l = -4*q, -10*q + 15*q - l = -0*q + 3 for q. 3 Solve 0 = -2*x + i + 7, -21*i + 19*i = -5*x + 17 for x. 3 Solve n = 3*b - 8, 0 = 199*n - 203*n + 4*b - 24 for n. -5 Solve 7*q - 2*p = 5*q, -p - 10 = -6*p for q. 2 Solve -7 = -2*d - 5*f, 14 + 53 = -16*d + f for d. -4 Solve -89*n = 405*h - 400*h - 94, -4*n + h + 3 = 0 for n. 1 Solve -h = 4*j - 15, -985*h = -984*h - 15 for j. 0 Solve 3*m - 6 = -4*b, -3*m + 65 = -b + 59 for b. 0 Solve 0 = -5*q + 11*y + 43, 0 = -19*y + 14*y - 15 for q. 2 Solve 5*x = 2*j - 3, 2*x = -7*j - 86 + 77 for x. -1 Solve -4*u = 4*r + 44, -6*u = -13*u + 5*r - 41 for u. -8 Solve 0 = 2*v - 144*h + 148*h, -4*h - 11 = 5*v + 1 for v. -4 Solve 9*l - 66 = -3*w, w + 14 = 2*w + w - 0*w for l. 5 Solve 32 = -131*z + 135*z + 4*m, 0 = -4*z + 4*m for z. 4 Solve -465*z = 2*k - 469*z + 4, 19 = k + 5*z for k. 4 Solve 12 = -2*i - 5*o, -5149 + 5186 = -3*i + 2*o for i. -11 Solve 0 = 2*a + 11*c - 7*c + 30, -5*a = c + 3 for a. 1 Solve -177*b + 179*b - 14 = 5*a - 0, 2*a + 3*b - 2 = 0 for a. -2 Solve -r = -3*w - 5, 4*r + 117 = -w + 98 for r. -4 Solve 0 = 11*j - 8*j + 6*o + 12, 0 = j - 2*o + 12 for j. -8 Solve -3*x + 69 = -5*f, -4*f + 10556*x - 57 = 10553*x for f. -12 Solve -26244*z - 4*g - 24 = -26237*z, 23 = -5*z + 3*g for z. -4 Solve 4*t + 13 = -12*c - 11, 0 = -3*t - 4*c - 28 for t. -12 Solve s + 4 = 0, 0 = 4*g + 1120*s - 1117*s for g. 3 Solve -5*v - 9686 = -4*k - 9691, -22 = -2*k - 4*v + 8 for k. 5 Solve 6067*h - 6066*h + 4*l = -22, 0 = 3*h + 2*l + 16 for h. -2 Solve 0 = -2*a + 3*f - 4, 5*a = 4*f + 7440 - 7443 for a. 1 Solve 5*j - 39 = -4*v, -244246 = -2*v + 3*j - 244243 for v. 6 Solve 246880 - 246871 = -2*n + 3*d, -d = -n - 6 for n. -9 Solve -45 = -3*h + 14*v, 2*h - 6*h = -7*v - 25 for h. 1 Solve -10*b + 0*i + 45 = -i, 4*b + 624 = -i + 635 for b. 4 Solve v - 7 = 4*d, -52*v + 47*v = -d + 3 for d. -2 Solve 24*b + 4*t = 28*b + 16, 3*t = 2*b + 10 for b. -2 Solve -417 + 429 = 2*h - 5*j, 36 = -5*h - 4*j for h. -4 Solve -4*m - 44 = 3*n, 4*m + 41 = -3 for n. 0 Solve 3*r = -2*z + 89 - 88, 28*r - 30 = 2*z for r. 1 Solve 4*z - 19 = 3*q, z + 13031*q + 19 = 13027*q for z. 1 Solve n - 5*l + 18 = 0, -267*n + 269*n = -5*l + 24 for n. 2 Solve 36 = 4*r + 4*o, -193*r - o = -194*r + 3 for r. 6 Solve 0 = 3*x - 0*x, 12*u - 15*x + 8*x + 9*x - 24 = 0 for u. 2 Solve 456 = 90*r - 2*l, 5*l = -904*r + 899*r + 10 for r. 5 Solve 5*y - 4*w = -50, 267*y - 272*y + 3*w - 45 = 0 for y. -6 Solve 16*a - 21*a - 43 = 3*h, -4*h - 4 = -4*a for h. -6 Solve -4*c + 4 = -5778*v + 5780*v, -4*c - 12 = -6*v for c. 0 Solve -21 = -r - 8*m, m + 1051 = -4*r + 1073 for r. 5 Solve 0 = d + 30*u - 52, -d - 132*u = -128*u - 26 for d. 22 Solve k + 4789*o - 4786*o - 6 = 0, -k = -2*o + 4 for k. 0 Solve 2*b + 16 = -2*q, -55*q + 54*q + 5*b + 22 = 0 for q. -3 Solve 16*x + 5 = 17*x - 2*y, 5*y = 5*x - 20 for x. 3 Solve 0 = -7*o - 35, -23*h - 2*o = -26*h + 1 for h. -3 Solve -4*c - 86*d + 9 = -87*d, 2*c - d + 1 = 0 for c. 5 Solve 5*u = -4*g + 85, -244*u = -245*u + g + 17 for u. 17 Solve 60095 = 2*i - 5*c + 60087, 0 = -5*i - 5*c + 20 for i. 4 Solve 2*b = -3*a + 20, 158*a - 32 = -3*b + 153*a for b. 4 Solve -2*u - 251*m - 18 = -255*m, 3*m = -3*u for u. -3 Solve -2*w + 2*j - 18 = 0, 29 = -9*w - 18*j + 14*j for w. -5 Solve -8 = -4*z + 2*k, 14476*z - 14479*z + 6 = -5*k for z. 2 Solve 5*u + 613*q - 615*q + 19 = 0, 2*u = -q - 4 for u. -3 Solve -7 = 5*q + 3*u, -2094*q + 2093*q - 6 = -4*u for q. -2 Solve 0 = -2*i - 5*s + 22, -22*i + 18*i - 5*s = -14 for i. -4 Solve -2*q - 1 = 3*d - 3, 8 = 2*d - 2*q for d. 2 Solve 0*h = 4*n - 3*h, 146 = -n - 2*h + 135 for n. -3 Solve 0 = -5*b - 0*b - 2*g + 23, b - 1 = -4*g for b. 5 Solve 3*m - 10 = 8*p, -216*p + 214*p = 2*m + 8 for m. -2 Solve 14*o - 12 = 5*v + 11*o, -2*o = -8 for v. 0 Solve 2*v - 8 = 4*g, 33*v - 31*v + 6 = -3*g for v. 0 Solve 0 = 2*y + 3*f + 2, 4*f - 242 = -522 + 264 for y. 5 Solve 5*z + 17 = -j, 245*z - 249*z - 3*j - 18 = 0 for z. -3 Solve 2*p + 3*p - 5 = -3*g - g, 2*p = 2 for g. 0 Solve 3*b + 7 = 554*q - 552*q, 4*q = -4*b + 44 for b. 3 Solve -3*o = 4*b - 29, 113*b - 110*b = 5*o for o. 3 Solve -5*u = 20*v, 2*u - 10*v = -7*v + 2*v for u. 0 Solve 3*v + 5*k + 8 = 0, -39*v = -48*v - 3*k + 24 for v. 4 Solve -3*h = 304*g - 298*g + 15, -5*h = -3*g - 5 - 22 for g. -4 Solve 5*s - 2*n = 6197 - 6150, -15*s = 4*n - 181 for s. 11 Solve -103 = 5*n - 4*y - 147, 5*n - y = 11 for n. 0 Solve -211*c - 4 = 4*g - 212*c, 12 = 3*g + 3*c for g. 0 Solve 3*g - 5*o + 66 = 0, 1360*g + 110 = 1355*g - 2*o for g. -22 Solve -5*x + 52 = -4*d, 659*d = 660*d + x - 5 for d. -3 Solve 17 = 5*j + g, 0 = -2*j + g - 2352 + 2356 for j. 3 Solve -3*s - 377 + 356 = 0, 9*z = 5*s - 10 for z. -5 Solve -20 = -s - 5*f, 433*s - 2*f + 21 = 436*s for s. 5 Solve 0 = -2*r - 10, -11 = -3*q - 1157*r + 1161*r for q. -3 Solve -4*a - 47 = -5*h, 45*h + 2*a + 7 = 42*h for h. 3 Solve 4 = -3*j + 4069*g - 4068*g, -19 = 8*j - g for j. -3 Solve 0 = 3*i - 2*q - 15, -7*i + 2*q = -391 + 364 for i. 3 Solve -4576*v = -4576*v - 3*q - 66, -5*q = -3*v + 122 for v. 4 Solve 4*m - 57 = -215*q + 210*q, -5*q = -7*m + 31 for q. 5 Solve 5*y + 2*w + 9 = 0, -w = -7*y + 10*y + 7 for y. -5 Solve 0 = -4*n - 26*u - 22, -5*n + 4*u = -69 + 60 for n. 1 Solve j + 9 - 35 = -14*d, -2*j = -5*d + 14 for j. -2 Solve -5*d + 7*d = 2*o, d + 12 = 4*o + 18 for o. -2 Solve -11*k + 15*k + 2*s = 0, 3*k + 3*s - 15 = 0 for k. -5 Solve 3*t - 21 = -3*j, 0 = 4*t + 145*j - 147*j + 2 for t. 2 Solve 19 = 4*t + c, 17*t - 3*c + 41 = 129 for t. 5 Solve 3*q - 44 = -3*a - 29, 0 = -2*q + 5*a + 3 for q. 4 Solve 5*u + 6*i = 4, 5*u = 3*i - 6*i - 8 for u. -4 Solve 3*s - 7*b = 26, -5*b - 67 = 2*s - 36 for s. -3 Solve 0 = -5*y - t - 4, 0 = -2*y - 3*t + 889 - 888 for y. -1 Solve u + 3 = 2*h, -5*h = -68*u + 70*u + 15 for h. -1 Solve 3*i = -4*w - 12, 77*w - 4*i + 9 = 74*w for w. -3 Solve -3*v - 23 = l - 9, 0 = l - 1 for v. -5 Solve -35*m + 7*p - 19 = -36*m, m - 5*p = -5 for m. 5 Solve 5*t + 61 - 77 = -3*g, 2*t = -5*g + 14 for g. 2 Solve -287*w + 285*w - 5*v = 1, -4*v + 4 = 4*w for w. 2 Solve 4*n = 2*d - 2, -n - 38 = 3*d - 55 for n. 2 Solve 357*r - 2 = 358*r + 4*y, -4*r + 4*y = -32 for r. 6 Solve 5*f + 7 = v, 79*v - 75*v + 3*f - 28 = 0 for v. 7 Solve -8 = -4*w, -s = -41*w + 40*w - 3 for s. 5 Solve 0 = -3*p + 12, -5*n - 2*p - 368 = -371 for n. -1 Solve 4*x = 5*q + 44, -661 + 637 = 3*q - 2*x for q. -4 Solve -649*r = -651*r + 4*v - 84, -4*v = -3*r - 80 for r. 4 Solve n + 4*w = -10, -25 = 5*n - 2396*w + 2391*w for n. -6 Solve 0 = -2*g + 6*g, 15*g - 19*g + 5 = d for d. 5 Solve r = -4*g - 13, 3*r = -69*g + 71*g - 11 for r. -5 Solve -3*q - 5*f + 20 = 29, 0 = -5*q - 10*f - 15 for q. -3 Solve 2*i - 5*g = -26940 + 26887, 59 = i + 7*g for i. -4 Solve o - 7 = -w, -673*w = -672*w + 4*o - 25 for w. 1 Solve 5*j - 8648*n + 35 = -8653*n, 0 = 4*n + 48 for j. 5 Solve 41*b - 34*b = -x - 32, 5*x + b + 58 = 0 for x. -11 Solve -3*g - m = -5*g - 25 + 24, 8*g - 3*m + 9 = 0 for g. -3 Solve -134*m - 12 = -130*m, -3*i = 2*m for i. 2 Solve -92*m - 6 = -87*m - b, 4*m + 5*b = 1 for m. -1 Solve 3*n - 75 = -2*m - 76, -2*m = -5*n - 23 for m. 4 Solve 4*g - 81*l + 84*l + 26 = 0, 0 = -g + 2*l + 10 for g. -2 Solve 2*i + 4 = h, -20 = -5*h - 58*i + 60*i for h. 4 Solve 2*a + i = 5, -2*a + 303 - 342 = -3*i for a. -3 Solve -125*n + 126*n = -2*s - 3, -2*n - 6 = s for s. 0 Solve -y = 2*x - 12, -4*x + 1034*y + 30 = 1039*y f
{ "pile_set_name": "DM Mathematics" }
p: 2, r: 1}? 1/3 Three letters picked without replacement from {v: 1, f: 2, w: 2}. What is prob of picking 1 v and 2 w? 1/10 What is prob of picking 1 g, 1 n, and 2 s when four letters picked without replacement from {g: 1, s: 4, j: 6, n: 3}? 18/1001 Three letters picked without replacement from blbmlblblblllbbmblvl. What is prob of picking 2 m and 1 b? 2/285 What is prob of picking 1 d and 3 k when four letters picked without replacement from diiiidkhksdkhidhidi? 5/3876 Two letters picked without replacement from {p: 1, s: 2, k: 14, w: 2}. Give prob of picking 1 p and 1 w. 2/171 Two letters picked without replacement from xxxhhxxwxwxx. Give prob of picking 2 h. 1/66 What is prob of picking 2 z and 2 k when four letters picked without replacement from {h: 4, z: 6, k: 4}? 90/1001 Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {z: 4, y: 2, q: 3, t: 1}. 3/20 Four letters picked without replacement from rexrereheheer. Give prob of picking 1 r, 1 x, and 2 h. 4/715 What is prob of picking 1 n, 1 a, 1 d, and 1 i when four letters picked without replacement from nindniixaiin? 4/99 Three letters picked without replacement from {i: 4, g: 2, w: 1, x: 4}. What is prob of picking 3 x? 4/165 What is prob of picking 1 r and 1 t when two letters picked without replacement from {u: 3, r: 3, t: 2, h: 12}? 3/95 Two letters picked without replacement from pqqqiyqi. What is prob of picking 1 y and 1 i? 1/14 Calculate prob of picking 2 k when two letters picked without replacement from kkttkt. 1/5 Two letters picked without replacement from {x: 3, u: 10, e: 1, w: 1}. Give prob of picking 2 u. 3/7 Calculate prob of picking 2 h and 1 d when three letters picked without replacement from dddddhdddddddhhdhdd. 30/323 Two letters picked without replacement from wbhwwhwwhh. Give prob of picking 2 w. 2/9 Four letters picked without replacement from {b: 4, d: 14}. What is prob of picking 4 b? 1/3060 Four letters picked without replacement from {c: 4, o: 7, s: 4}. Give prob of picking 3 o and 1 c. 4/39 Two letters picked without replacement from rytgl. What is prob of picking 1 l and 1 g? 1/10 What is prob of picking 1 j, 1 t, and 1 y when three letters picked without replacement from itttjcyityycttiyy? 3/68 Three letters picked without replacement from {e: 8, i: 1, u: 4, d: 7}. Give prob of picking 2 u and 1 d. 7/190 Two letters picked without replacement from sxiljlllllisllixjls. Give prob of picking 1 j and 1 l. 2/19 Calculate prob of picking 1 h, 1 j, and 1 e when three letters picked without replacement from {h: 6, e: 10, j: 2}. 5/34 Three letters picked without replacement from {i: 1, m: 1, v: 1, u: 1, j: 1}. What is prob of picking 1 i, 1 m, and 1 j? 1/10 Four letters picked without replacement from uyyjyyljjy. Give prob of picking 1 j, 1 l, and 2 y. 1/7 What is prob of picking 1 k, 2 l, and 1 u when four letters picked without replacement from fdfflffuluudfk? 3/1001 Four letters picked without replacement from {o: 6, s: 2, e: 3, m: 2, p: 4, a: 1}. Give prob of picking 2 s, 1 m, and 1 e. 1/510 Three letters picked without replacement from aagaatiiata. Give prob of picking 1 i and 2 a. 2/11 Calculate prob of picking 1 m, 1 n, and 2 j when four letters picked without replacement from mqjjmmjqvnt. 3/110 Four letters picked without replacement from booqllbbsolrool. Give prob of picking 3 o and 1 r. 2/273 Three letters picked without replacement from {l: 6, x: 1, y: 8, j: 3}. What is prob of picking 2 y and 1 x? 7/204 Four letters picked without replacement from {g: 2, p: 2, s: 1, q: 1, l: 1, f: 1}. What is prob of picking 2 g, 1 l, and 1 f? 1/70 Calculate prob of picking 4 l when four letters picked without replacement from llkllyyllyy. 1/22 Calculate prob of picking 1 w, 2 n, and 1 j when four letters picked without replacement from wqjjnnj. 3/35 What is prob of picking 1 s and 3 q when four letters picked without replacement from {c: 4, q: 4, s: 2, t: 1}? 4/165 Two letters picked without replacement from ssssggfogsgsvvfgf. What is prob of picking 1 g and 1 f? 15/136 Four letters picked without replacement from {d: 16, b: 4}. What is prob of picking 2 b and 2 d? 48/323 Three letters picked without replacement from czzz. Give prob of picking 3 c. 0 Calculate prob of picking 3 q and 1 k when four letters picked without replacement from qkqqp. 1/5 Calculate prob of picking 2 i when two letters picked without replacement from iiibybm. 1/7 Three letters picked without replacement from rhckrhkrctrrkkkk. What is prob of picking 2 k and 1 r? 15/112 Two letters picked without replacement from kcokkokccokfc. Give prob of picking 1 c and 1 k. 10/39 Four letters picked without replacement from {u: 1, i: 12, n: 1, z: 1}. What is prob of picking 1 z and 3 i? 44/273 Calculate prob of picking 1 v, 2 e, and 1 l when four letters picked without replacement from veaeleeev. 10/63 Calculate prob of picking 3 x when three letters picked without replacement from xmmmxxxumxxxxmsxxssx. 11/76 Calculate prob of picking 3 j when three letters picked without replacement from yyjyjjyyhq. 1/120 Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 2, b: 1, m: 1, o: 1, z: 2}. 2/21 Three letters picked without replacement from rardareaeeardaa. What is prob of picking 3 e? 1/455 Four letters picked without replacement from {d: 3, j: 6, b: 2, w: 1}. What is prob of picking 3 d and 1 w? 1/495 What is prob of picking 1 g and 1 i when two letters picked without replacement from {t: 1, i: 5, y: 6, g: 1, m: 6}? 5/171 Two letters picked without replacement from dibzkkiidiki. What is prob of picking 1 z and 1 b? 1/66 Four letters picked without replacement from {j: 3, z: 3, p: 10, r: 4}. What is prob of picking 1 r, 1 p, and 2 z? 8/323 Four letters picked without replacement from {e: 5, a: 3, h: 5}. What is prob of picking 1 a and 3 h? 6/143 What is prob of picking 1 o and 2 q when three letters picked without replacement from {r: 1, o: 2, n: 1, q: 2}? 1/10 Calculate prob of picking 2 y and 2 d when four letters picked without replacement from {w: 2, y: 2, d: 8, z: 2}. 4/143 Four letters picked without replacement from wwkkkywy. What is prob of picking 2 w and 2 k? 9/70 Two letters picked without replacement from {f: 3, y: 2, d: 2, n: 5}. Give prob of picking 2 d. 1/66 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from srxxsxssxx. 4/9 Three letters picked without replacement from {u: 3, h: 1, i: 6, t: 9}. What is prob of picking 3 u? 1/969 Two letters picked without replacement from {m: 5, p: 1, a: 5, b: 1, j: 1, s: 1}. Give prob of picking 1 p and 1 s. 1/91 Four letters picked without replacement from {w: 7, u: 2}. What is prob of picking 2 w and 2 u? 1/6 What is prob of picking 1 x and 2 o when three letters picked without replacement from {h: 3, q: 1, x: 4, o: 5}? 20/143 Three letters picked without replacement from {v: 1, k: 1, s: 1, r: 2, i: 2, h: 1}. What is prob of picking 1 r, 1 k, and 1 v? 1/28 What is prob of picking 2 s and 2 n when four letters picked without replacement from {s: 9, n: 5}? 360/1001 Three letters picked without replacement from {s: 7, o: 5, b: 1}. Give prob of picking 3 o. 5/143 Two letters picked without replacement from {z: 4, n: 10}. What is prob of picking 2 z? 6/91 Calculate prob of picking 1 i and 3 c when four letters picked without replacement from {v: 9, i: 2, c: 8}. 28/969 Three letters picked without replacement from {e: 3, x: 2, c: 1, y: 4, g: 2, z: 2}. Give prob of picking 1 c and 2 z. 1/364 What is prob of picking 1 s, 1 r, and 1 z when three letters picked without replacement from {s: 2, x: 2, r: 6, z: 1, n: 4}? 12/455 Three letters picked without replacement from ypedeqzpdzzdzpz. Give prob of picking 2 y and 1 p. 0 Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {m: 1, y: 2, r: 1, i: 1}. 1/10 What is prob of picking 3 b when three letters picked without replacement from wbllyygz? 0 Two letters picked without replacement from jlj. What is prob of picking 2 j? 1/3 Calculate prob of picking 2 a and 1 w when three letters picked without replacement from wwawwwwawaa. 14/55 What is prob of picking 1 f and 1 d when two
{ "pile_set_name": "DM Mathematics" }
5*b for b. 3 Suppose i - 4 = 2*u, -2*u + 5*i = i - 2. Let r = u - -8. Suppose -3*b - 15 = 0, 4*b + r = -0*t - 3*t. Solve -t*n + 5 = -0 for n. 1 Suppose -j + 4*j - 6 = 0. Suppose -a + y + 13 = j*a, -2*y = -5*a + 21. Suppose -g + 0*b - b - 2 = 0, -a*b = -4*g + 19. Solve -g - 15 = -4*c for c. 4 Let j(o) = 20*o + 3. Let x be j(3). Let f be 329/x - 4/18. Solve f*s = -4 + 24 for s. 4 Let k = -1 + 1. Suppose -3 - 7 = -5*s. Suppose -14 = -4*n + s. Solve k = 6*b - n*b for b. 0 Let y(t) = t**2 - 14*t - 22. Let f be y(16). Solve 2 - f = 2*j for j. -4 Suppose 9 = 17*h - 14*h. Suppose h = 3*p - 0. Solve -p = -4*r + 3 for r. 1 Let u be (-2)/3*(-18)/4. Suppose z = -u*z. Let a(r) = r**2 - 4*r + 8. Let b be a(2). Solve 8 = b*x - z*x for x. 2 Suppose -12 = -96*j + 93*j. Solve -2*w = -j*w for w. 0 Suppose -15 = -4*v + 13. Let l = -2 + v. Let k be (6/(-4))/((-1)/2). Solve 4*h - k = l for h. 2 Let g be (4 - -1)*48/40. Suppose 5*i - 4*i = g. Solve 12 = -3*a + i*a for a. 4 Suppose -2 = -3*h + 10. Solve 0*d - 4 = h*d for d. -1 Suppose -4*c + 0*c = 0. Solve h - 5 = -c*h for h. 5 Let d(f) = -13*f**2 - 9*f - 4. Let i(w) = -7*w**2 - 5*w - 2. Let x(o) = -6*d(o) + 11*i(o). Let u be x(0). Solve u = -r + 3*r for r. 1 Let m = 40 - 10. Let a = m + -4. Solve -5*d + 1 = a for d. -5 Let z(o) = 10*o**2 - 2*o + 1. Let a be z(1). Let j = 6 + -4. Let p(i) = i**2 - 3*i + 3. Let s be p(j). Solve a = -2*f - s for f. -5 Suppose -6*p + 20 = -p, 23 = d + 5*p. Solve d = 4*c + 23 for c. -5 Suppose h = 4*v - 3*v - 3, h = 2*v - 5. Suppose 0 = w + 5*s - 16, w - 4*s - 10 = -2*w. Solve w*p - v*p = -4 for p. -1 Let m be 25 + -28 - (-3 + 0). Solve 3*f = -m*f - 12 for f. -4 Let k(b) = b**2 + 16*b - 14. Let i be k(-17). Solve -i - 3 = -3*z for z. 2 Suppose 0 = -l + 3*t + 19, -2*l - 2*t - t + 2 = 0. Let a = l - 3. Solve -y + a = 3 for y. 1 Suppose -4*q = l - 2*l + 5, -7 = -3*l + 4*q. Let n be l*(0/(-1))/2. Solve -3*v = -n*v for v. 0 Let o be ((-4)/6)/((-2)/30). Let p(d) = -d**3 - d**2 + d + 3. Let z be p(-2). Solve -5*t + o + z = 0 for t. 3 Let o be 3*(2 - 3)/1. Let z be 19 - ((-1 - o) + -2). Solve -3*x + z = 7 for x. 4 Suppose -2*c + 20 = -3*d, 4*c - 3*d - 34 = -0*c. Let v = c - 1. Let l be (14/2)/(v + -5). Solve l*i = 4*i + 9 for i. 3 Suppose -2*r = -4*r. Let i be (1 + -2*1)*r. Solve i = 3*z - 5 + 2 for z. 1 Suppose 2*r + g = 8, -3*g + 12 = 4*r - 0*g. Suppose -r*h = -2*h. Solve 3*a - 7*a - 4 = h for a. -1 Let o(a) = -a**2 - 4*a + 2. Let l be o(-5). Let j = 3 + l. Let v(q) = -q + 5. Let g be v(5). Solve g = 4*k - j*k for k. 0 Suppose -4*w + 21 = l, 0*w + 2 = w - 3*l. Suppose i = w*u + 10, 4*i + i + 38 = 3*u. Let m be -1*2*25/i. Solve g = m*g + 12 for g. -3 Let a(b) be the second derivative of 5*b**3/6 - b**2/2 - 3*b. Let g be a(1). Let s be 2*(3 - (3 + -1)). Solve -s*x = -0*x + g for x. -2 Let n = 10 + -5. Suppose 0 = k, -n*l + k - 2*k = -25. Suppose 0 = l*z - 20 + 5. Solve -z*m = -3 - 0 for m. 1 Suppose 2*s = -g + 9 - 1, -s + 14 = 3*g. Let q = -13 + 33. Suppose 2*w - 3*w + 5 = 4*m, -q = -4*m + 4*w. Solve 0*t - m*t - g = 0 for t. -2 Suppose -2*o = 9 - 13. Solve -o*p - 1 = 3 for p. -2 Let w = 8 - 5. Suppose -3*a + t = w, -3 = 3*t + 6. Let d be 0 - 4/(a - -1). Solve 0 = d*u - 3 - 9 for u. 3 Let j be (-10)/(-1)*2/5. Let l be (2/(-2))/(5/(-15)). Let w = -3 + l. Solve j*h + 8 = -w*h for h. -2 Let g be 22/(-3) + (-2)/(-6). Let j = 10 + g. Solve -3*a = j - 15 for a. 4 Let f = -134 - -136. Solve 14 = -f*g + 4 for g. -5 Let b = -2 - -6. Let f = 13 - 14. Let l = b + f. Solve 2*c = -l*c + 15 for c. 3 Let q(u) = 5 - 2 - 3*u + 2*u + 4. Let k be q(-6). Solve k = -5*g - 12 for g. -5 Suppose -2*o - 4*c = -22, -o + 2*o = -4*c + 19. Suppose -o*q - 2*q = -45. Solve q = -4*d - 7 for d. -4 Let o be 1/2 + 358/4. Let k be 8/10*o/12. Let u(v) = -2*v - 3. Let z be u(-4). Solve z*l + k + 14 = 0 for l. -4 Let t(v) = -v**3 + 2*v**2. Let p be t(2). Let s be p + (-4)/(-2) + -2. Solve -h + s = 2 for h. -2 Let m(b) = -b - 8. Let a be -3 + -1 + (-28)/4. Let o be m(a). Solve 5*s - o = 2*s for s. 1 Suppose -5*u + 3*t + 115 = 0, -5*t + 2 + 67 = 3*u. Let a = 15 - u. Let k be a/4*(-1 + 0). Solve 0 = m - k for m. 2 Suppose -53 = -6*i + 7. Solve i = -2*l + 4*l for l. 5 Suppose -3 = 3*o + d - 15, -5*o + 5*d = 0. Solve -c - o = 2*c for c. -1 Let k be (3 + -2)/((-2)/(-16)) - -3. Solve -1 - k = 3*m for m. -4 Let f(s) = -s - 3. Let y be f(-3). Solve -4*u = -y*u - 8 for u. 2 Let y(u) = -u**2 + 5*u + 3. Let f be y(6). Let t = 6 + f. Solve 0 = -t*g - 5 - 4 for g. -3 Suppose -5*j + 3 = 2*i, -4*i + 3*j = -2*j - 21. Suppose 3*d + i*v + 8 = 36, -2*v = 3*d - 20. Let h be -1 - (2 + (-24)/4). Solve c + h*c = d for c. 1 Let a be -3 + ((-24)/4)/(-1). Solve 0*p - a = -p for p. 3 Let w be 0/(1*(-2)/1). Let x = 2 - w. Suppose -5*y - 20 = -2*m, 20 = 5*m - 0*y - 5*y. Solve -x*v - 6 + 0 = m for v. -3 Let d = 6 + -15. Let l(o) = -o**3 - 8*o**2 + 7*o - 12. Let a be l(d). Solve h - a*h - 10 = 0 for h. -2 Let b(s) = -s - 7. Let u be b(-8). Let o(j) = -j + 1. Let f be o(u). Let h(q) = q**2 + 8. Let m be h(f). Solve 2*l = 6*l - m for l. 2 Suppose -4*i = -2*h + 10, -1 = -3*h + 14. Solve -4*p + 12 + i = 0 for p. 3 Let s = 4 - 3. Solve v = -s - 0 for v. -1 Suppose -33*t + 34*t - 2 = 0. Let h(r) = -2*r**2 - 2*r + 2. Let f be h(-3). Let p be 34/10 - (-4)/f. Solve t = 4*k - p*k for k. 2 Let y be 30/18 + 2/6. Solve 0 = y*n + 9 - 3 for n. -3 Let d(q) = q + 6. Suppose 9*y + 4 = 10*y. Let u be d(y). Solve -p - p = -u for p. 5 Suppose d + 2 = -q, -7*q + 3*q - 20 = 0. Suppose -32 = -4*l + h, 0*l - l = 2*h - 8. Solve -d*o = o + l for o. -2 Suppose -4*h = u - 7, -h + 21 = 4*u - u. Solve u = 2*v + 1 for v. 3 Let d(w) = w**2 + 6*w + 3. Let o be d(-5). Let r be 4 + (-2 - -6)/(-4). Let f be r + -1 + 0 - o. Solve f*h + 10 + 2 = 0 for h. -3 Let l be ((-27)/9)/((-6)/(-4)). Let p(s) = -2 + 2 - s**2 - 4*s. Let b be p(l). Solve -b*t = -2*t - 2 for t. 1 Let q(d) = d**2 + 6*d + 2. Let z be q(-6). Let p be (z/5)/(4/40). Solve f - p*f = 6 for f. -2 Let w = 45 - 40. Solve 2*i - w*i - 15 = 0 for i. -5 Suppose 4*d = j - d - 19, 23 = 5*j - d. Let y(i) = 3*i + 3 - i + 0*i. Let v be y(9). Solve -v + 9 = -j*g for g. 3 Suppose 3*k = -k. Solve h + 1 - 2 = k for h. 1 Let j be 4 - (-5 - (1 - -2)). Solve 2*i = -2*i + j for i. 3 Suppose 0 = -4*s - 3*r + 3 + 3, 0 = -5*s + r - 2. Solve s = -5*f + 10 for f. 2 Let s be ((-7)/(-1) - 3) + -2. Let x(l) = l**3 - l**2 + l - 1. Let g be x(s). Solve 2 = -p + g for p. 3 Suppose 3*a - 9 = -h, 4*a - 5*h + 12 = 43. Solve -12 + a = 4*p for p. -2 Suppose 0 = 2*p + 9 - 1. Let d = -3 - p. Solve -d = -f + 1 for f. 2 Let i(q) = q + 2 - 10 - 4*q + 2*q. Let n be i(-8). Suppose -t = -3 - n. Solve 0 = -o + 2 + t for o. 5 Let j(k) = -2*k - 20. Let h be j(-10). Solve h = 2*m - 9 - 1 for m. 5 Let d be ((-8)/10)/((-2)/10). Let s be 5/2 + (-6)/d. Solve -s = 4*z - 5 for z. 1 Let w(b) = b**3 - 7*b**2 + 7*b + 6. Let i be w(6). Suppose -3*p + 0 = -i. Solve 2*v = 3*v - p for v. 4 Let t = 15 - 11. Suppose 0 = -2*n + n + t*c - 8, 5*c = -2*n + 10. Solve 2*p + 0*p + 10 = n for p. -5 Suppose 2*t = -t. Suppose t = -6*w + 2*w + 8. Suppose 0 = -2*y + 4*s, w*y + 2*y = -s. Solve -m - m = y for m. 0 Let d = 160 + -160. Solve d*v - v = 2 for v. -2 Let v(q) = 3*q**2 + 2. Let l(a) be the third derivative of -a**5/6 - 7*a**3/6 + 3*a**2. Let c(w) = 2*l(w) + 7*v(w). Let h be c(-5). Solve k - 6*k = h for k. -5 Suppose 7*f = 35 - 14. Solve 6 = f*l - 6 for l. 4 Suppose -5*v + 2 = -48. Suppose 4*l - 3*l = 2*p - v, 4*p + 4*l = -4. Suppose 2*y = 1 + 15. Solve y = -5*k + p*k for k. -4 Let n(f) = 10*f + 3. Let b be n(3). Suppose 0*u + b = -u. Let v = -13 - u. Solve j = -3*j - v for j. -5 Let b = 11 - 8. Solve -b*q = -2*q for q. 0 Let y(h) = -h**2 - 13*h - 13. Let g be y(-12). Let o be g + (-18)/(-1 + -2). Solve o = -5*i - 0 for i. -1 Let k(t) = -2*t**3 + 2*t**2. Let i be k(2). Let p = 14 + i. Solve -3*l - 9 = p for l. -5 Let k = -39 - -44. Solve -k*l - 9 = -4 for l. -1 Suppose 0 = 2*l - 11 - 1. Solve -c = -l*c + 5 for c. 1 Let k be (-4)/(1 - -1) - 1. Let g be 0/2 - 9/k. Solve 5 = g*t - 1 for t. 2 Let y(i) = i**3 - 6*i**2 + 5*i + 1. Let x(h) = -h**2 + 10*h - 4. Let p be x(9). Let l be y(p). Let j be l - (4 + -2 + -6). Solve -j = -d - 0*d for d. 5 Suppose -5*j + 30 = -0*j. Let h = 0 - -15. Suppose 3*z - h = -0*z.
{ "pile_set_name": "DM Mathematics" }
+ 474*o + 41*o**2. 226*o**2 - 5*o Collect the terms in -15*d**3 - d**3 - 304739*d + 20*d**3. 4*d**3 - 304739*d Collect the terms in -67702552*c - 67702501*c + 135405123*c - 2*c**2. -2*c**2 + 70*c Collect the terms in 207*w - 185*w + 247*w + 211*w + 75. 480*w + 75 Collect the terms in 34190*t**2 - 48 - 44 - 55 + 147 - 34189*t**2. t**2 Collect the terms in -1399 + 2*g**3 - 33*g**3 + 1782. -31*g**3 + 383 Collect the terms in 11*g**3 - 10*g**3 - 4*g**3 - 5*g + 4*g - 4*g**3 + 105*g**3 - 59*g**3. 39*g**3 - g Collect the terms in 2 + 404860*r - 352170*r - 2. 52690*r Collect the terms in -234*x**3 + 5990*x - 285*x**3 - 5990*x. -519*x**3 Collect the terms in 21903*g**2 + 21893*g**2 + 21733*g**2 - 65341*g**2. 188*g**2 Collect the terms in -89765*s + 89765*s - 1916*s**2. -1916*s**2 Collect the terms in -61 + 148 + 19*y**3 - 154*y**3 + 137. -135*y**3 + 224 Collect the terms in -2*u + 2073*u**3 - 2090*u**3 - 3*u. -17*u**3 - 5*u Collect the terms in 734454*p**2 - 2 + 7*p**3 - 367221*p**2 - 367233*p**2 + 2. 7*p**3 Collect the terms in -143*n + 1492*n + 127*n + 1560*n. 3036*n Collect the terms in -55 + 1881*d - 1892*d + 55. -11*d Collect the terms in 771326*o**2 - 385676*o**2 - 385685*o**2. -35*o**2 Collect the terms in -5819*c - 2440 - 3417*c + 2440. -9236*c Collect the terms in 203 + 231 - 654 + 221 + 30*z. 30*z + 1 Collect the terms in 170*d**3 + 9*d**2 - 32*d**3 + 156*d**3. 294*d**3 + 9*d**2 Collect the terms in 99840*f - 11*f**3 + 100349*f - 200189*f. -11*f**3 Collect the terms in 139*b**3 + 95*b**3 - 839*b**3 + 655*b**3. 50*b**3 Collect the terms in 261*j**3 - 518 - 787*j**3 + 525*j**3. -j**3 - 518 Collect the terms in -3796*k + 11490*k - 3788*k - 3783*k + 7*k**2. 7*k**2 + 123*k Collect the terms in 787 - 262 - 281 - 4*s**3 - 244. -4*s**3 Collect the terms in -2 + 2 + 18756*h**3 + 84641*h**3 + 10110*h**3. 113507*h**3 Collect the terms in -906*b - 5*b**2 - 895*b + b**2 - 335*b + 576*b. -4*b**2 - 1560*b Collect the terms in 38 + 15478*r - 26 - 9. 15478*r + 3 Collect the terms in 72711*c**2 + 31868*c**2 + 162539*c**2. 267118*c**2 Collect the terms in 25 + 49*k**2 - 76 + 23 + 27 - 87*k**2 + 449*k**2. 411*k**2 - 1 Collect the terms in -7810 + 293*d**2 - 2*d**3 - 23*d**2 - 4958. -2*d**3 + 270*d**2 - 12768 Collect the terms in -3165*v**2 - 7958*v**2 + 14279*v**2 - 3159*v**2. -3*v**2 Collect the terms in 1279332 - 3838072 + 1279366 + 1279374 + 4*s**2. 4*s**2 Collect the terms in -7684993*o**2 + 7680812*o**2 - 2 + 2. -4181*o**2 Collect the terms in 76255*m - 19122*m - 18896*m - 19117*m - 19114*m. 6*m Collect the terms in -15*k**2 - 22945*k + 1446*k + 26*k**2 - 13*k**2. -2*k**2 - 21499*k Collect the terms in 2 + 4*i**2 - 4 - 36886*i**3 - 2*i**2 + 141114*i**3. 104228*i**3 + 2*i**2 - 2 Collect the terms in 7*w + 10 - 10*w - 9 + 11 - 30*w. -33*w + 12 Collect the terms in 305113543 - 305113543 - 5*g**3. -5*g**3 Collect the terms in 180*s + 1278*s - 32046*s - 30363*s. -60951*s Collect the terms in -212210*f**2 + 2 + 105689*f**2 + 106543*f**2. 22*f**2 + 2 Collect the terms in -2272035*v**2 + 115749*v**2 - 610781*v**2 - 1275179*v**2. -4042246*v**2 Collect the terms in -301*j**2 + 407*j**2 - 1046*j**2 - 657*j**2 + 1. -1597*j**2 + 1 Collect the terms in -12197726392 - 5*l + 12197726392. -5*l Collect the terms in -80853*w + 80853*w + 2*w**3 + 11*w**2. 2*w**3 + 11*w**2 Collect the terms in -14 + 14 - 4907827*t**2. -4907827*t**2 Collect the terms in 18*n**2 + 8433787*n - 8433787*n. 18*n**2 Collect the terms in 11779*m - 35577*m + 11828*m + 11829*m - 1. -141*m - 1 Collect the terms in -58 + 14660*c**2 - 34 - 14660*c**2 - c**3 - 14 - 124. -c**3 - 230 Collect the terms in 222 + 129*v - 222 - 30*v**3 - 243*v + 114*v. -30*v**3 Collect the terms in 25277 - 12753 - o**2 - 12552. -o**2 - 28 Collect the terms in 263*y + 7096*y + 597*y. 7956*y Collect the terms in 5*v - 5*v - 1159*v**3 + 379*v**3 - 680*v**3. -1460*v**3 Collect the terms in -6*i**2 - 862891*i**3 - 286363*i**3 + 6*i**2 + 55978*i**3. -1093276*i**3 Collect the terms in 9 + 7 - 26170*a + 26282*a - 16. 112*a Collect the terms in 39999*q**2 - 13304*q**2 - 5*q**3 - 13296*q**2 - 13399*q**2. -5*q**3 Collect the terms in 47*b + 44*b + 54*b + 39*b - 276*b + 23*b + 42*b. -27*b Collect the terms in 144 + 18*v + 138 + 161 - 578 + 135 - 2*v. 16*v Collect the terms in -20799*r**3 - 17 + 62381*r**3 - 20792*r**3 - 20794*r**3. -4*r**3 - 17 Collect the terms in -25*g**3 + 795886026*g**2 - 795886026*g**2. -25*g**3 Collect the terms in 0 - 347*c - 511*c - 2 - 773*c. -1631*c - 2 Collect the terms in 1374*n**2 - 1634*n**2 - 5582*n + 5582*n. -260*n**2 Collect the terms in 4*d - 12949 + 73*d**2 + 6476 - 4*d + 6473. 73*d**2 Collect the terms in 9211*a**2 + 2*a**3 - 15000*a**2 + 2900*a**2 + 2889*a**2. 2*a**3 Collect the terms in -70*j + 75*j - 27*j + 77*j + 53*j. 108*j Collect the terms in -894*v + 3006 - 1504 - 1503. -894*v - 1 Collect the terms in 2*c - c + 30*c**2 + c + 40*c**2 - 40*c**3 + 43*c**3. 3*c**3 + 70*c**2 + 2*c Collect the terms in 2437*q**2 - 3507*q**2 + 2748*q**2. 1678*q**2 Collect the terms in 890*c**3 + 10714*c**2 - 10714*c**2 - 1445*c**3 + 794*c**3. 239*c**3 Collect the terms in 19*v**2 - 19*v**2 + 14253174*v**3 - 14253176*v**3. -2*v**3 Collect the terms in -61 + 127 - 66 + 825*h. 825*h Collect the terms in -266 + 132 + 137 + 1005*r. 1005*r + 3 Collect the terms in 1924*x**3 + 61*x**2 - 61*x**2 + 5900*x**3. 7824*x**3 Collect the terms in 3 - 51184813374*m + 51184813374*m + m**2. m**2 + 3 Collect the terms in 166*f**3 - 6524539618090*f + 64*f**3 + 6524539618090*f. 230*f**3 Collect the terms in 2121892*s - 1061879*s - 1060016*s. -3*s Collect the terms in -265*g**3 + 879*g - 211*g**3 - 68*g**3 - 879*g + 132*g**3. -412*g**3 Collect the terms in -7 - 106395*c**2 + 30*c**3 + 106395*c**2. 30*c**3 - 7 Collect the terms in 44*x - 16906 + 33285 - 16379. 44*x Collect the terms in 147*n + 445*n - 1434*n - 3602*n - 515*n. -4959*n Collect the terms in 117*l**2 + 120*l**2 + 146*l**2 + 152*l**2 - 539*l**2. -4*l**2 Collect the terms in -7405*j**2 - 39245*j**2 - 9 + 9. -46650*j**2 Collect the terms in -6 - 14553*p**2 + 29129*p**2 - 14540*p**2. 36*p**2 - 6 Collect the terms in -52*o + 7*o - 42*o + 11*o - 16*o - 8. -92*o - 8 Collect the terms in -58 + 238233578*s + 0 - 238233578*s + s**3. s**3 - 58 Collect the terms in -542*f**2 - 4*f - 8*f + 160*f**2 - 793*f**2 + 12*f. -1175*f**2 Collect the terms in 2 + 61674*x - 2 + 156790*x + 110017*x. 328481*x Collect the terms in -11628*j - 4041*j + 15556*j. -113*j Collect the terms in 3547*w - 709*w - 712*w - 700*w - 708*w - 719*w. -w Collect the terms in 77177919432*n**2 + n**3 - 77177919432*n**2. n**3 Collect the terms in 1858*s + 5153 - 5153. 1858*s Collect the terms in -y**3 - 910*y + 2565*y - 891*y - 885*y. -y**3 - 121*y Collect the terms in 54*w**3 + 12180405333*w + 45*w**3 - 12180405330*w. 99*w**3 + 3*w Collect the terms in -20522 + 41207 - 20685 - 9*t**3. -9*t**3 Collect the terms in 158*u + 154*u - 644*u + 105*u + 164*u. -63*u Collect the terms in 8999*j - 21821*j + 1 - 494*j - 84964*j. -98280*j + 1 Collect the terms in 210084*i - 210084*i - 84524*i**2. -84524*i**2 Collect the terms in -1803*p**2 + 3325*p**2 + 2657*p**2 - 58*p**2 + 2554*p**2. 6675*p**2 Collect the terms in 3713*n + 121*n + 372*n + 15*n - 1271*n + 3506*n. 6456*n Collect the terms in -42971 + 21464 - 2*i + 21496. -2*i - 11 Collect the terms in 2468*d**3 - 559*d**3 - 639*d**3 - 610*d**3 - 597*d**3. 63*d**3 Collect the terms in 23*b**3 - 193*b - 68*b - 17*b**3 + 140*b. 6*b**3 - 121*b Collect the terms in -40009*f - 369*f**3 + 20003*f + 20006*f. -369*f**3 Collect the terms in 884166*t + 378694 - 378694. 884166*t Collect the terms in -27 - 31 + 56 + 609*u**3. 609*u**3 - 2 Collect the terms in 191210*l + 191188*l - 382394*l. 4*l Collect the terms in -22297 + 11152 - 56*g**3 + 11145 - 6*g**3. -62*g**3 Collect the terms in -4280*x - 123*x + 256*x. -4147*x Collect the terms in 15417935*p**2 + 10533678*p**2 - 3239280*p**2 + 1061315*p**2. 23773648*p**2 Collect the terms in -187905*c**3 + 0*c**2 + 375869*c**3 - 187972*c**3 + 0*c**2. -8*c**3 Collect the terms in 90 + 1836*u**2 - 8*u - 1838*u**2 + u + 4*u + 3*u. -2*u**2 + 90 Collect the terms in 60800 + 297728*w - 60800. 297728*w Collect the terms in -l**2 + 64*l - 3*l**2 - 23*l**2 + 3*l**2
{ "pile_set_name": "DM Mathematics" }
Let r(k) = k**2 - 1 + k**2 + 1. Let x(q) = 52 - 17 - 49*q**2 + 9*q**2. Let f(t) = -7*t**2 + 6. Let a(c) = 35*f(c) - 6*x(c). Calculate r(a(u)). 50*u**4 Let t(s) = 3*s. Suppose 589 = 6*x + 13*x. Let m(u) = -x*u + u - 4*u. Give t(m(h)). -102*h Let s(r) = 151*r. Suppose -8*y + 24*y - 2880 = 0. Let o(f) = y*f - 92*f - 86*f. Give s(o(m)). 302*m Let j(c) = -c. Let x = -49 + 93. Let m = -29 + x. Let i(a) = 17*a + m*a - 24*a. What is j(i(v))? -8*v Let j(b) = b**2 + b + 0*b - b. Let a(c) = -19*c + 69. Let w(t) = -7*t + 22. Let f(g) = -4*a(g) + 11*w(g). Determine j(f(z)). z**2 + 68*z + 1156 Let d(h) = -5*h. Let o(m) be the second derivative of 713*m**4/12 + 1928*m. Calculate o(d(g)). 17825*g**2 Let l(s) = -8*s**2. Let i(c) = 3*c**2 + 51*c + 23321. Give i(l(y)). 192*y**4 - 408*y**2 + 23321 Let o(f) = 8*f**2 - 3*f. Let d(h) = h - 1. Let u(p) = 2. Let n(b) = 11. Let z(w) = n(w) - 5*u(w). Let j(x) = d(x) + z(x). What is j(o(i))? 8*i**2 - 3*i Let m(f) = -f - 238. Let h(b) = -9711*b. Calculate m(h(q)). 9711*q - 238 Let t(u) be the first derivative of 3*u - 1 - 5*u**2 - 3*u + 6*u**2. Let h(k) be the first derivative of -2*k**2 + 199. Determine t(h(i)). -8*i Let m(d) be the first derivative of d**2 + 1. Let i = 439 + -401. Let j(o) = 91*o - i*o - 48*o. Give m(j(h)). 10*h Let o(v) be the third derivative of -1103*v**4/12 - 184*v**2. Let w(m) = m. Determine o(w(d)). -2206*d Let x(v) = -109076*v. Let c(k) = 956*k**2. Give c(x(q)). 11374080529856*q**2 Let h(y) be the third derivative of -11*y**5/60 + 3*y**2 - 662*y. Let g(u) = 18*u**2. Give g(h(k)). 2178*k**4 Suppose -g + 164 = 5*l, 3*l - 2*g - g = 102. Suppose 0 = -0*y - 3*y + l. Let r(t) = -8*t + 44*t - 14*t - y*t. Let x(n) = 2*n**2. Calculate x(r(d)). 242*d**2 Let s(x) = 3*x**2 + 17*x. Suppose 0 = u - 3*q - 71, 4*u = 5*u + q - 67. Let n(i) = u - 142 + 4*i + 74. Give n(s(r)). 12*r**2 + 68*r Let q(r) = -874*r - 5. Let t(g) be the first derivative of 146*g**2 + 2*g + 114. Let j(f) = -4*q(f) - 11*t(f). Let u(y) = y**2. Calculate u(j(m)). 80656*m**2 - 1136*m + 4 Let b(g) = -2*g. Let z(j) = 1737*j - 938 + 484 + 454. Determine b(z(y)). -3474*y Let y(n) = 3*n + 38. Let o(p) = 4*p + 20. Let b(z) = 5*o(z) - 3*y(z). Let d(v) = 13*v. What is d(b(j))? 143*j - 182 Let i(k) = -58*k**2. Let o(p) = 3069 - 3069 - 48*p**2. Give i(o(g)). -133632*g**4 Let s(q) be the first derivative of -q**3/3 - 56. Let y(x) = 2*x - 29*x**2 - 7 + 7. Determine s(y(m)). -841*m**4 + 116*m**3 - 4*m**2 Let a(m) = -141*m**2 + 8*m - 1. Let l(u) be the second derivative of u**3/6 - 192*u - 11. Determine l(a(v)). -141*v**2 + 8*v - 1 Let b(r) = 5*r. Let d(h) = 40*h**2 - 13. Let o(m) = -41*m**2 + 10. Let n(i) = -2*d(i) - 3*o(i). What is n(b(v))? 1075*v**2 - 4 Let h(o) = -3*o. Let m(t) = 17*t + 107. Let q be m(-6). Let g(a) be the third derivative of 0*a**4 + 0 + 0*a**3 + 9*a**2 - 1/15*a**q + 0*a. Determine g(h(p)). -36*p**2 Let a(m) = 571*m - 194*m - 186*m - 193*m + 5. Let p(v) = 3*v**2 + 4*v + 4. Let c(h) = 8*h**2 + 11*h + 11. Let u(q) = 4*c(q) - 11*p(q). What is u(a(g))? -4*g**2 + 20*g - 25 Let c(n) = -2*n**2. Let s(u) be the third derivative of 29*u**4/12 - 4*u**3/3 - 60*u**2 - 10. Calculate c(s(j)). -6728*j**2 + 1856*j - 128 Let m(k) be the first derivative of -k**2/2 + 24*k - 1424. Let v(a) = 33*a**2. Give v(m(h)). 33*h**2 - 1584*h + 19008 Suppose 2*s = -5*w - 3*s + 875, 0 = -5*w + 5*s + 865. Let v(h) = -w*h - 175*h + 37 + 351*h. Let n(p) = -2*p**2. Give v(n(b)). -4*b**2 + 37 Let t(p) = -802*p. Let b(r) = 626*r - 14. Calculate t(b(s)). -502052*s + 11228 Let m(o) = -13*o + 6*o + 3*o + 5*o. Let i(d) be the second derivative of -34*d**3/3 + 157*d + 11. Determine m(i(c)). -68*c Let v(h) = -2*h**2. Suppose j = 3*j - 4. Suppose 3*g - 5 = 17*x - 32, 0 = 5*x - 4*g + 17. Let t(f) = 59*f**2 - x - 2*f - 79*f**j + 3. Calculate t(v(k)). -80*k**4 + 4*k**2 Let x(v) = 4*v. Suppose -4*i - 8 + 34 = 9*i. Suppose -q - q = 8, 28 = 5*n - 2*q. Let d(t) = -n*t**2 - 3*t**2 + t**i. What is d(x(a))? -96*a**2 Let y(j) be the second derivative of j**4/6 - 2272*j - 2. Let g(k) = 177*k + 13. Let v(i) = 88*i + 6. Let f(u) = 6*g(u) - 13*v(u). What is y(f(p))? 13448*p**2 Let f(o) = -17*o**2 - 29*o. Let y(w) be the first derivative of -3*w**2 - 2481. Give y(f(b)). 102*b**2 + 174*b Let y(o) = o**2 - 3*o - 5. Let l be y(6). Let g(w) = -2 + 2 + l*w. Let p(z) be the third derivative of -z**5/60 + 95*z**2 - 1. Determine p(g(k)). -169*k**2 Let m(p) = -113946*p. Let j(n) = -31*n. What is j(m(a))? 3532326*a Let q(b) = 906944*b. Let h(t) = -3*t. Calculate h(q(j)). -2720832*j Let y(w) = w**2. Let s(j) = -111*j + 17. Let l(r) = -332*r + 60. Let b(o) = 2*l(o) - 7*s(o). Determine y(b(f)). 12769*f**2 + 226*f + 1 Let m(g) = -39*g**2 - 32*g + 308. Let f(x) = -61*x**2. Calculate m(f(p)). -145119*p**4 + 1952*p**2 + 308 Let u be (-154)/(-10) - 16/40. Let l(d) = d + 7*d + 3*d - d - u*d. Let g(f) = -72*f. Determine l(g(p)). 360*p Suppose 54*t + 43 = 313. Let m(s) be the third derivative of 0*s - 1/12*s**4 + 0 + 0*s**3 - t*s**2. Let i(b) = 33*b**2. What is m(i(f))? -66*f**2 Let c(b) = -211*b. Let k(i) = 1547331*i**2. Give k(c(u)). 68888723451*u**2 Let c(r) = -3*r**2 + 0 + 9 - 1. Let g(q) = -2*q**2 + 3*q - 81. Let j(m) = m**2 - 2*m + 54. Let z(y) = 4*g(y) + 6*j(y). Calculate c(z(u)). -12*u**4 + 8 Let x(i) be the second derivative of -i**5/60 - 175*i**3/3 - i - 422. Let r(j) be the second derivative of x(j). Let u(a) = -2*a + a - 2*a. Determine u(r(t)). 6*t Let c(p) = -2*p - 32. Let z(w) = 156*w**2 + 455*w. What is c(z(r))? -312*r**2 - 910*r - 32 Let h(b) = -b + b + 1797286*b**2 - 1797213*b**2. Let g(q) = -14*q**2. Give g(h(y)). -74606*y**4 Let u(t) = 8*t**2 - 22*t. Suppose -29*b = -28*b - 4. Let m(y) = -3*y**2 + 8*y. Let f(z) = b*u(z) + 11*m(z). Let i(o) = -16*o + 3. Calculate f(i(a)). -256*a**2 + 96*a - 9 Let y(i) = 527*i - 289. Let u(a) = -11*a + 6. Let q(c) = 289*u(c) + 6*y(c). Let z(g) = -285*g**2 + 589*g**2 - 302*g**2. Give q(z(p)). -34*p**2 Let b(w) = w**2 - 6*w + 2. Let a(m) = -17*m**2 - 4*m - 4. Let y(q) = a(q) + 2*b(q). Let g(k) = k**2. Give y(g(p)). -15*p**4 - 16*p**2 Let j(p) = 392*p**2 + 29*p - 29*p + 400*p**2 - 791*p**2. Let b(w) = -39*w - 47. Give b(j(a)). -39*a**2 - 47 Let l(v) be the first derivative of -278*v**3/3 - 2089. Let p(x) = -2*x. Give l(p(g)). -1112*g**2 Let g(k) = 21*k + 1. Let w(l) = 20*l + 1. Let y(a) = -4*g(a) + 3*w(a). Let z(b) = 7839*b**2 - 4235*b**2 - 3601*b**2. Give z(y(v)). 1728*v**2 + 144*v + 3 Let o(t) = 3*t. Let v(h) = 198859*h. What is v(o(g))? 596577*g Let f(t) = -2*t**3 - 12*t**2 - 13*t - 76. Let d be f(-6). Let z(u) be the first derivative of -23 - 8/3*u**3 + 0*u + 0*u**d. Let o(g) = 3*g**2. What is z(o(b))? -72*b**4 Let g(p) = -284526*p**2 - 2*p - 370. Let i(d) = -3*d. Determine i(g(l)). 853578*l**2 + 6*l + 1110 Let u(i) = 202189*i. Let m(a) = -55*a. Determine u(m(c)). -11120395*c Let l(c) = 10*c**2 - 17. Let b(r) = 1625*r + 3. Give l(b(g)). 26406250*g**2 + 97500*g + 73 Let z(l) be the first derivative of 7*l**3/3 - 38. Let d(r) be the first derivative of 13*r**2/2 + 49. Calculate d(z(k)). 91*k**2 Let a(g) = 3*g. Let o(w) = 216 - 171*w**2 + 201*w**2 - 1191*w**2 - 216. Give o(a(j)). -10449*j**2 Let u(m) = 3*m. Let p(x) = 30496898*x. Determine u(p(j)). 91490694*j Let v(h) = 2*h**2. Let w(i) be the second derivative of -i**4/6 - i**2 + 3*i. Let o(k) = -k**2 + 1. Let l(n) = -10*o(n) - 5*w(n). Determine v(l(g)). 800*g**4 Let b(f) = -913112*f**2. Let d(k) = 916*k**2. What is b(d(r))? -766152102272*r**4 Let o(r) = -r**2. Let x(y) be the first derivative of -353*y**3/3 + 940. Calculate o(x(j)). -124609*j**4 Let v(f) = 2*f + 17. Let i(n) be the second derivative of -5*n**4/12 - n**2/2 + 594*n. What is i(v(t))? -20*t**2 - 340*t - 1446 Let s(l) be the first derivative of -7*l**3 - 30 - l**3 - 22*l**3. Let j(v) = -13*v**2. Let q(n) = 27*j(n) - 4*s(n). Let a(m) = m. Determine a(q(t)). 9*t**2 Let w(y) = 83*y. Let x(j) = -2*j**2 - 4106*j. Calculate x(w(q)). -13778*q**2 - 340798*q Let a = -7 + 9. Let v(b) = -6*b + 2*b - 29*b**a + 4*b. Let h(t) = -22*t + 60. Let f(o) = -9*o + 25. Let q(g) = -12*f(g) + 5*h(g). What is q(v(n))? 58*n**2 Let p(h) = -3*h**2. Let t(o) = -17630*o - 215. Let c(v) = -1150*v - 14. Let m(r) = -215*c(r) + 14*t(r). Calculate p(m(u)). -554700*u**2 Let a(u) = -5
{ "pile_set_name": "DM Mathematics" }
2*w + 3*w + 9 = 0. Suppose 63 = -f*u + 23. Is u >= d? True Let k = 18605 + -18457. Which is bigger: 168 or k? 168 Let q = 1.9 - 2. Let p be (-104)/1092 - (0 - 6890/21). Let z = p + -985/3. Which is greater: z or q? q Suppose 3*f - 3 = 0, -f = -5*i - 6*f - 40. Let d(o) = -o**2 + 14*o - 22. Let a be d(12). Let p = i - a. Is p at least as big as -21/2? False Suppose -5*u = -2*p - 8, -3*u - u - 20 = 5*p. Suppose -4*v = -12, 9*w + 4*v - 33 = 6*w. Let b = u + w. Is 29/5 at most as big as b? True Let g be (30/(-210) + 4/(-21))*-2091. Is g greater than 697? False Let r be (-5250)/(-1470)*(-8)/34. Is r <= -1? False Let i be (4/4 - (-22)/(-18))*-18. Let k(d) = -3*d**2 + d. Let z be k(i). Let j = 158/3 + -52. Which is bigger: j or z? j Suppose 3*x + 3*r - 4*r = -13, -22 = 4*x + r. Let h be 2*(-16)/(-1 - x). Let k be ((-48)/(-44))/(-1)*(-2)/h. Is 2 greater than or equal to k? True Let z be (-77356)/120 + 6/(-36). Let g = z + 645. Is g equal to -1? False Suppose 2*b - b = 6. Suppose -b*v = -3*j - 2*v + 68, 3*j + v - 43 = 0. Suppose -i - 5*u + 10*u = 22, 2*u - j = 4*i. Are i and -2 non-equal? False Suppose 2*t + 4*r - 526 = 0, -10*r - 1026 = -4*t - 5*r. Is -17 greater than or equal to t? False Suppose 15*a + 7*a + 38*a = 3300. Let z(o) = -o**3 - o + 4. Let l be z(0). Suppose -4*n + l*h + 215 = 3*h, 2*n - 103 = 5*h. Which is bigger: a or n? a Let q = -272 - -937. Let o be (-2)/(-5) + 1159/q. Is o >= -1? True Suppose 10*u = 2*z + 13*u + 18293, 4*u - 36536 = 4*z. Do z and -9139 have the same value? True Let t = -0.0883 - 0.0217. Let f = 0.3 - 0.1. Let q = 0.5 - f. Which is smaller: t or q? t Let q be 30/(-18) + 4/6. Let t be (16*q/(-610))/(2/15). Which is greater: t or 1? 1 Suppose 4 = -3*l + 2*s, -3*l = -3*s - s + 2. Let m be 1*(-3 + (6 - (0 - l))). Let z(a) = a - 2. Let h be z(2). Is m at most h? False Let i = 1754 - 1880. Which is bigger: i or 0.2? 0.2 Let q = -8.91264 + -0.08736. Which is smaller: q or -369? -369 Suppose -2*v = -5*w + 7786, 2*w + 2*v - 3841 = -721. Is 1559 bigger than w? True Let c = 3.9 - 77.9. Let f = c + 71.3. Let r = 3.4 + f. Is r bigger than -0.1? True Let x = 1136 + -789. Let m = x - 316. Which is greater: -0.1 or m? m Suppose 0 = -17*n + 16*n + 8. Let z be 75/(-5 + n) + -1. Is 21 < z? True Let v(z) = z**2 + 6*z - 202. Let s be v(-17). Which is greater: -15/8 or s? -15/8 Suppose -2*d - 2*s = -7*s + 169, -71 = d + 2*s. Let l be 0/(22/d + 23/7). Which is bigger: 35/33 or l? 35/33 Suppose -3*x + 2*u = -8, 24 = 4*x - u + 5. Let s be (-3)/x + (-3)/12. Let l(i) = i + 4. Let v be l(-6). Which is smaller: s or v? v Let p be (((-5)/6)/(3/(-1146)))/((-1)/(-3)). Which is smaller: p or 2869/3? p Suppose 3*k + 119 = 95. Let l be ((-18)/k)/(-12 + 108/(-24)). Is l at most as big as -1? False Let s = -0.07 + 0.04. Let b = s + 0.02. Let q be (-33)/6 + ((-84)/(-2))/6. Which is greater: q or b? q Suppose 0 = -5*h - 4*l + 10, 6 = -4*h + 7*h + 2*l. Suppose -7*c = -4*c - h*z - 121, -z + 4 = 0. Suppose c = -3*k - 59. Are k and -32 equal? False Let f = 0 + -1. Let x be ((-1)/(-8) + (-4338)/38160)*(0 - 1). Are x and f equal? False Let w = -604 - -242. Let b(s) = -7*s**2 + 12*s + 66. Let v be b(-7). Does v = w? False Let m = 1598/145 - 308/29. Is m != -3064? True Let k be 16/(-6)*(45 - 3915/90). Let p = -6226/1703 + 96/131. Is p smaller than k? False Let a(w) = 34*w**2 + 4. Let j be a(2). Let z(o) = -4*o**2 - 170*o - 258. Let i be z(-40). Is j at least i? False Let w = -553 - -21569/39. Let s(a) = -a**3 + 9*a**2 + 9*a + 13. Let q be s(10). Which is smaller: w or q? w Suppose 9*b - 21*b - 25*b = 0. Which is smaller: b or -4/1183? -4/1183 Suppose -v - 112 = -475. Let b be 7 + (-4362)/v + (6 - 1). Is b bigger than -1? True Let c(y) = -4*y**3 + 6*y**2 + 85*y + 980. Let z be c(-12). Which is smaller: z or 7737? z Let f(o) = -8*o + 1. Let q be f(-1). Let r be (-10)/20*1*-46. Which is bigger: q or r? r Suppose 2*q - t = 2*t, -4*t = -4*q. Let w be 30/(0 - (-5 + q + 7)). Is w at most as big as -17? False Let r be -4*1 + (-8610)/66. Let n = r - -135. Is 1 greater than or equal to n? True Suppose 0 = 4*j - 4*t + 852, -5*t + 159 = 3*j + 838. Let k(f) = f + 2. Let d be k(-2). Is j != d? True Let a be (4 - 12)/(1 + 0). Suppose 0 = -62*q + 55*q + 35. Suppose 0*t + 5*t - 50 = q*s, -4*s = -5*t + 42. Is a <= s? True Let n = -330487/340 + 22071/20. Which is smaller: 131 or n? 131 Let l be 3/(-132)*-172 - 3. Suppose -k + d = -9, d - 1 = -k + 6. Suppose -2*r - 7*b = -2*b - 4, -4*r = -2*b - k. Which is greater: l or r? r Let y(w) = 2*w**3 + 69*w**2 + 125*w + 5. Let j be y(-33). Is j smaller than 3? True Let p = 20 - 17. Suppose 0 = p*d + m - 21, d + 25 = 6*d + 5*m. Suppose -25*l = -22*l - 24. Is l at least d? True Suppose 2*s - 5*y - 1595 = 0, 2*s + 166*y = 161*y + 1665. Is s at most as big as -2? False Suppose -8*d - 57*d - 93328 = 11*d. Is d bigger than -1230? True Let d be ((-1727)/33)/((-3)/9*-19). Is d at least -9? True Suppose -2*y = y - 6, 4*b - 2*y = -4. Suppose -4*f - f - 20 = b, -x - f = 1. Suppose 8 = -4*u - 4*g, -u = 3*u + 3*g + x. Is 25/6 smaller than u? False Let n = 13826 + -12234. Is n less than 1587? False Let l = 21.912 - 21.8303. Which is bigger: -8 or l? l Suppose 4*v + 3*l = -2486, 423 + 195 = -v + l. Let c = v - -4325/7. Let a = 568 + -571. Which is smaller: a or c? a Let s = -3.2 - -0.2. Let n = -2.8 - s. Let m(z) = -15381*z - 123048. Let q be m(-8). Are n and q unequal? True Let f = -11/31 - -19943/465. Which is bigger: f or 43? 43 Let l be (3/(-75))/((-18)/135) + 5686/380. Which is bigger: l or 15? l Suppose 5*g - 94 + 84 = 0. Let b be g/(465/95 - 5). Which is smaller: 1 or b? b Let s(b) = -b**2 + 13*b - 8. Let a be s(11). Let c be a/(-21) + 235/(-3). Let j = c + 79. Is -3/38 greater than j? False Let j be (101/4)/(-7 + 57/8). Suppose -6*h = j + 170. Is -62 smaller than h? False Let k = -17451 - -32022584/1835. Which is smaller: 0 or k? k Let t(p) = 6*p**2 + 5*p - 744. Let r be t(0). Is -748 greater than r? False Suppose 0 = 2*s - 4*m - 272, 0 = -3*s + 4*m - 35 + 433. Let q be 153/s + 6/(-4). Is q at least 5? False Suppose b - 1247 = -4*o + 4489, 4*o = 3*b - 17288. Is b >= 5756? True Let p be 0 + -2 + (-34)/(-16). Let a = -82668128759/2361 - -35014033. Let b = 2/787 - a. Is p at most b? False Let n be (-15)/7326*196/147. Do n and -1 have the same value? False Let l = -107 - -120.8. Let z = 46.38 - 46.48. Which is smaller: z or l? z Let z(u) = -u**2 + 3*u + 9. Suppose 5*c - 5*b - 8 = 32, -5*c - 5*b = -10. Let m be z(c). Which is greater: 1/107 or m? 1/107 Let p = -0.3679 + 356.5679. Let j = -356 + p. Is j not equal to 3/56? True Suppose 4*h - 868 - 2437 = -5*v, 0 = -5*v + 25. Is h less than 4106/5? True Let h = 456839/408 - -53/408. Let r = -1115 + h. Is 4 smaller than r? True Suppose -2*t + 5*t = -3*f + 1584, 5*t + 3*f - 2644 = 0. Let s be 96/t - (-6 + 155/25). Let d = s - -249/1961. Which is bigger: d or -1? d Let h be (2 - 1) + (-10 - -4 - -2). Let p be (-3 + 5)/((h/12)/1). Let z be (-4)/(-14) - (-360)/(-35). Is p at most as big as z? False Let f(y) = 2*y**3 - 2*y**2 - 3*y + 4 - 5 - y**3. Let k be f(3). Let w = -47261 - -283559/6. Do w and k have the same value? False Let o(g) = -2*g**3 - 17*g**2 + 6*g - 21. Let f be o(-9). Suppose -f*v + v - 135 = -5*c, -5*c + v = -143. Let s = c - 44. Are -15 and s equal? True Let w = 3690 + -3677. Is w smaller than 1.59? False Let h(x) be the first derivative of x**4/4 - 17*x**3/3 + 15*x**2/2 + 25*x + 83. Let k be h(16). Is 2 greater than or equal to k? False Suppose 423 = -4*u - 381. Let c(n) = 63*n - 13. Let i be c(-3). Is u less than or equal to i? False Let i = 132 - 240. Let n = i + 156. Let l = 6957 - 6910. Which is smaller: l or n? l Let f be (-8)/(-1) + 1 + (128 - 3). Which is greater: f or 141? 141 Let a be (471652/18868 - 11) + -14. Is a < 1? True Let h = 45.01 + -44.96. Which is smaller: 525 or h? h Let b = -27/22 + 8/11. Let j = -2465.49 + 2464. Which is smaller: j or b? j Let t be (12/(-18))/((-3)/9). Let w be (t - (1 + 222/224))*10. Which is bigger: w or 1? 1 Let f = 45 + -33. Suppose -f = 2*w - 18. Suppose -9 = -n - 2*n + k, k = -w*n + 3. Which is greater: n or 2/3? n Let a = 470491201/26378 - 35673/2. Is a <= 0? False Let m = -4409/445655 - -13/535. Which is smaller: m or -1? -1 Suppose -3*d - d
{ "pile_set_name": "DM Mathematics" }
? -89*z**2 - 2236*z + 1 What is the q'th term of 543, 1028, 1525, 2040, 2579, 3148, 3753? q**3 + 478*q + 64 What is the c'th term of 36, 351, 1210, 2889, 5664, 9811, 15606? 46*c**3 - 4*c**2 + 5*c - 11 What is the b'th term of -4748, -4762, -4780, -4802? -2*b**2 - 8*b - 4738 What is the d'th term of 159, 248, 231, 54, -337, -996, -1977? -9*d**3 + d**2 + 149*d + 18 What is the i'th term of 2882, 5733, 8584, 11435? 2851*i + 31 What is the y'th term of 150, 153, 174, 225, 318? 2*y**3 - 3*y**2 - 2*y + 153 What is the w'th term of -1842, -3684, -5526, -7368, -9210, -11052? -1842*w What is the m'th term of -1164, -1261, -1526, -2043, -2896, -4169, -5946? -14*m**3 + m - 1151 What is the l'th term of 20362, 20360, 20348, 20320, 20270, 20192, 20080? -l**3 + l**2 + 2*l + 20360 What is the c'th term of 577528, 577526, 577522, 577516, 577508, 577498, 577486? -c**2 + c + 577528 What is the v'th term of -410, -824, -1238, -1652, -2066? -414*v + 4 What is the j'th term of 3861, 7799, 11815, 15915, 20105, 24391? j**3 + 33*j**2 + 3832*j - 5 What is the v'th term of -2782, -5559, -8330, -11095? 3*v**2 - 2786*v + 1 What is the u'th term of -137111, -137115, -137119, -137123, -137127, -137131? -4*u - 137107 What is the p'th term of -2544, -20424, -68954, -163458, -319260, -551684, -876054, -1307694? -2554*p**3 - p**2 + p + 10 What is the s'th term of -474, -1093, -1712? -619*s + 145 What is the c'th term of -5102127, -5102124, -5102119, -5102112, -5102103, -5102092? c**2 - 5102128 What is the j'th term of 21816, 87276, 196376, 349116, 545496, 785516? 21820*j**2 - 4 What is the n'th term of 53701, 214808, 483321, 859240, 1342565? 53703*n**2 - 2*n What is the w'th term of 607, 580, 555, 532? w**2 - 30*w + 636 What is the v'th term of -1037, -4157, -9365, -16667, -26069, -37577, -51197, -66935? -v**3 - 1038*v**2 + v + 1 What is the a'th term of -47596, -95190, -142784, -190378, -237972? -47594*a - 2 What is the z'th term of 1959, 1978, 1997, 2016, 2035? 19*z + 1940 What is the i'th term of -165173, -165175, -165177, -165179? -2*i - 165171 What is the w'th term of 28, 254, 480? 226*w - 198 What is the v'th term of -128, -289, -482, -713, -988, -1313? -v**3 - 10*v**2 - 124*v + 7 What is the z'th term of 4598, 4611, 4632, 4661? 4*z**2 + z + 4593 What is the o'th term of -77, -43, -15, -5, -25, -87, -203? -2*o**3 + 9*o**2 + 21*o - 105 What is the r'th term of -25158, -25169, -25188, -25215, -25250, -25293? -4*r**2 + r - 25155 What is the c'th term of -780640, -1561271, -2341902, -3122533? -780631*c - 9 What is the u'th term of -36, -204, -500, -906, -1404? 3*u**3 - 82*u**2 + 57*u - 14 What is the g'th term of 9250, 18536, 27822, 37108, 46394? 9286*g - 36 What is the f'th term of -231, -447, -657, -855, -1035, -1191, -1317, -1407? f**3 - 3*f**2 - 214*f - 15 What is the a'th term of 49203, 49197, 49187, 49173, 49155, 49133, 49107? -2*a**2 + 49205 What is the d'th term of -1016, -1098, -1180, -1262? -82*d - 934 What is the t'th term of -640, -482, -324, -166? 158*t - 798 What is the b'th term of 33442, 66881, 100320? 33439*b + 3 What is the b'th term of 43070, 86125, 129178, 172235, 215302, 258385, 301490? b**3 - 7*b**2 + 43069*b + 7 What is the r'th term of 1055, 1051, 1047, 1043? -4*r + 1059 What is the d'th term of -4072, -4216, -4360, -4504, -4648, -4792? -144*d - 3928 What is the t'th term of 627, 1095, 1563, 2031, 2499, 2967? 468*t + 159 What is the r'th term of 78197, 78212, 78237, 78272, 78317, 78372? 5*r**2 + 78192 What is the q'th term of -276058, -276054, -276038, -276004, -275946, -275858, -275734? q**3 - 3*q - 276056 What is the v'th term of -22550, -22546, -22542, -22538, -22534, -22530? 4*v - 22554 What is the k'th term of -182, 711, 2198, 4279, 6954, 10223, 14086? 297*k**2 + 2*k - 481 What is the h'th term of 103, 194, 297, 418, 563, 738, 949? h**3 + 84*h + 18 What is the j'th term of -215, 115, 665, 1435, 2425, 3635, 5065? 110*j**2 - 325 What is the q'th term of 241, 647, 1327, 2287, 3533, 5071, 6907? q**3 + 131*q**2 + 6*q + 103 What is the w'th term of 263484, 263493, 263502, 263511, 263520? 9*w + 263475 What is the b'th term of 18696, 18723, 18748, 18771, 18792, 18811? -b**2 + 30*b + 18667 What is the q'th term of 69065, 69148, 69233, 69320, 69409, 69500? q**2 + 80*q + 68984 What is the i'th term of 1600720, 1600719, 1600718? -i + 1600721 What is the k'th term of -4444, -4296, -4052, -3712? 48*k**2 + 4*k - 4496 What is the c'th term of -604, -1227, -1850, -2473, -3096, -3719? -623*c + 19 What is the p'th term of 11286, 11325, 11364, 11403? 39*p + 11247 What is the g'th term of -22314, -22380, -22446, -22512, -22578, -22644? -66*g - 22248 What is the z'th term of 15560, 15578, 15596, 15614, 15632? 18*z + 15542 What is the r'th term of 2953, 5876, 8793, 11704, 14609? -3*r**2 + 2932*r + 24 What is the y'th term of -190255, -190254, -190253? y - 190256 What is the k'th term of 18, 43, 94, 189, 346, 583, 918, 1369? 3*k**3 - 5*k**2 + 19*k + 1 What is the q'th term of 936, 1760, 2586, 3414, 4244, 5076? q**2 + 821*q + 114 What is the c'th term of 531, 365, 83, -321, -853, -1519, -2325, -3277? -c**3 - 52*c**2 - 3*c + 587 What is the l'th term of -339, -196, 43, 378, 809, 1336? 48*l**2 - l - 386 What is the o'th term of 2836569, 5673138, 8509707? 2836569*o What is the t'th term of -206468, -206461, -206454, -206447, -206440? 7*t - 206475 What is the a'th term of 6566, 6647, 6726, 6803, 6878? -a**2 + 84*a + 6483 What is the t'th term of 85, -315, -715? -400*t + 485 What is the h'th term of -1422, -11091, -37334, -88437, -172686, -298367, -473766, -707169? -1381*h**3 - h**2 + h - 41 What is the i'th term of -15156, -15158, -15160, -15162? -2*i - 15154 What is the d'th term of 624, 626, 630, 636, 644, 654, 666? d**2 - d + 624 What is the l'th term of -2856, -5838, -8824, -11814? -2*l**2 - 2976*l + 122 What is the t'th term of 90, 252, 414, 576? 162*t - 72 What is the s'th term of 2107, 8361, 18783, 33373? 2084*s**2 + 2*s + 21 What is the b'th term of 11573, 11503, 11433, 11363, 11293, 11223? -70*b + 11643 What is the o'th term of -2111, -2227, -2343, -2459, -2575? -116*o - 1995 What is the s'th term of 1847, 3660, 5453, 7220, 8955, 10652? -s**3 - 4*s**2 + 1832*s + 20 What is the o'th term of -170, -173, -176? -3*o - 167 What is the g'th term of 195, 184, 115, -30, -269, -620, -1101, -1730? -3*g**3 - 11*g**2 + 43*g + 166 What is the x'th term of -11939, -23816, -35621, -47354, -59015, -70604, -82121? 36*x**2 - 11985*x + 10 What is the q'th term of 20, -61, -398, -1147, -2464, -4505, -7426? -26*q**3 + 28*q**2 + 17*q + 1 What is the p'th term of 3090, 6194, 9298, 12402, 15506? 3104*p - 14 What is the o'th term of 2168, 4503, 6836, 9167, 11496? -o**2 + 2338*o - 169 What is the p'th term of -5442, -21728, -48844, -86772, -135494, -194992, -265248? 3*p**3 - 5433*p**2 - 8*p - 4 What is the d'th term of 142124, 284255, 426386? 142131*d - 7 What is the o'th term of -76435, -305763, -687979, -1223083, -1911075, -2751955, -3745723? -76444*o**2 + 4*o + 5 What is the h'th term of 19492, 19498, 19518, 19558, 19624, 19722, 19858, 20038? h**3 + h**2 - 4*h + 19494 What is the f'th term of 82, 238, 496, 856, 1318, 1882? 51*f**2 + 3*f + 28 What is the j'th term of -241, -493, -739, -979? 3*j**2 - 261*j + 17 What is the j'th term of 287, 582, 913, 1298, 1755, 2302? 3*j**3 + 274*j + 10 What is the p'th term of -492, -1864, -4134, -7314, -11416, -16452, -22434? -2*p**3 - 437*p**2 - 47*p - 6 What is the h'th term of -195, -386, -553, -690, -791, -850, -861, -818? h**3 + 6*h**2 - 216*h + 14 What is the f'th term of 342461, 684919, 1027377, 1369835, 1712293? 342458*f + 3 What is the l'th term of 426854, 853714, 1280572, 1707428, 2134282? -l**2 + 426863*l - 8 What is the y'th term of 168, 651, 1478, 2661, 4212, 6143, 8466, 11193? 2*y**3 + 160*y**2 - 11*y + 17 What is the t'th term of -3989, -4015, -4059, -4121, -4201, -4299? -9*t**2 + t - 3981 What is the i'th term of -11996, -12039, -12084, -12131, -12180, -12231, -12284? -i**2 - 40*i - 11955 What is the k'th term of 129, 532, 1225, 2208, 3481, 5044, 6897? 145*k**2 - 32*k + 16 What is the w'th term of 57, 94, 159, 252, 373, 522? 14*w**2 - 5*w + 48 What is the u'th term of 237, 467, 699, 933? u**2 + 227*u + 9 What is the l'th term of 1564
{ "pile_set_name": "DM Mathematics" }
31/97 What is -3727382 divided by 98089? -38 5 divided by -92330 -1/18466 Divide 5360960 by -12184. -440 Divide -5 by 28657. -5/28657 -1455455 divided by 291091 -5 Divide 88494 by -5. -88494/5 What is -47885 divided by -9577? 5 -584541 divided by 963 -607 What is -1351170 divided by 6? -225195 -61 divided by -959 61/959 Calculate 216150 divided by 19650. 11 What is 2119780 divided by 10? 211978 What is -58191 divided by 1? -58191 Calculate -41109 divided by 3. -13703 Calculate 2958 divided by -3. -986 2 divided by 3587 2/3587 60004 divided by -8572 -7 2058 divided by 686 3 Divide 175479 by 2017. 87 What is 1 divided by 35105? 1/35105 Calculate -78775 divided by 4. -78775/4 -444 divided by -15 148/5 Calculate -8911 divided by -6. 8911/6 Calculate -76964 divided by -71. 1084 -95904 divided by -5328 18 What is -48546 divided by 58? -837 Divide -60455 by -12091. 5 Calculate 16 divided by 1133. 16/1133 Calculate -35283 divided by -11761. 3 Calculate 3191582 divided by 1787. 1786 Calculate 18 divided by 1653. 6/551 What is -5628 divided by 3? -1876 187180 divided by 2 93590 Calculate 94976 divided by 2968. 32 What is -350408 divided by -87602? 4 Calculate 78081 divided by 26027. 3 What is 64 divided by 1706? 32/853 -49980 divided by -15 3332 Divide 1 by -13995. -1/13995 What is 83837 divided by -6? -83837/6 -4 divided by 400867 -4/400867 4305376 divided by -538172 -8 What is 91080 divided by 11? 8280 What is 554610 divided by -110922? -5 149942 divided by -26 -5767 -4 divided by 103559 -4/103559 1504392 divided by -8 -188049 What is -69612 divided by -1? 69612 Calculate 2943 divided by -9. -327 Divide 0 by 478858. 0 Calculate -47305 divided by 11. -47305/11 Calculate -27264 divided by -1136. 24 Calculate 117675 divided by -2. -117675/2 Calculate -8 divided by -27405. 8/27405 -7801 divided by 29 -269 Calculate 656650 divided by 5. 131330 What is -457 divided by 424? -457/424 2798526 divided by 2 1399263 1346892 divided by 4 336723 What is 153023 divided by -1937? -79 Calculate 9048 divided by -8. -1131 -68302 divided by -74 923 What is -37106 divided by -1? 37106 What is 2307293 divided by -6427? -359 Calculate 113400 divided by 36. 3150 42205 divided by 5 8441 What is 5 divided by -837454? -5/837454 Divide -18 by 2006. -9/1003 Calculate 1802807 divided by -4. -1802807/4 4 divided by -11798 -2/5899 What is -173340 divided by 5? -34668 11266 divided by 159 11266/159 Calculate -3 divided by -282239. 3/282239 Calculate -4 divided by -398352. 1/99588 Calculate -55 divided by -544. 55/544 Divide 23436 by -94. -11718/47 -3488774 divided by -17 205222 What is 42381 divided by -42381? -1 What is 4 divided by -4917? -4/4917 Calculate -17248 divided by -1078. 16 Divide 30275 by 6055. 5 1314106 divided by -6 -657053/3 Calculate 1181 divided by -77. -1181/77 Divide -21390 by -690. 31 What is 1269190 divided by -845? -1502 130386 divided by -43 -130386/43 What is -77280 divided by 40? -1932 -6747 divided by -94 6747/94 What is -28 divided by -175? 4/25 What is 336 divided by -287? -48/41 Calculate 268214 divided by 134107. 2 Divide -212436 by -70812. 3 What is 2828578 divided by -2? -1414289 Divide -18224 by 9112. -2 Calculate 1148987 divided by 5. 1148987/5 Divide -7 by -2729. 7/2729 27 divided by 145639 27/145639 Divide 6130 by -5. -1226 -2393 divided by 824 -2393/824 Divide -99 by 3518. -99/3518 Divide -58805 by 11761. -5 Divide 43 by -5717. -43/5717 Calculate 16 divided by 249. 16/249 Calculate 111465 divided by -37155. -3 What is -4071367 divided by 4? -4071367/4 What is 67512 divided by -291? -232 Divide 2702060 by -1. -2702060 -1691724 divided by -845862 2 Calculate 227 divided by -174. -227/174 What is -1911 divided by -1911? 1 -8779 divided by 6 -8779/6 Calculate -24 divided by 6143. -24/6143 Divide -841574 by -1714. 491 Divide -6317 by 1. -6317 Calculate -15111 divided by -657. 23 Divide 6 by 147577. 6/147577 Calculate -2 divided by -21744. 1/10872 679056 divided by -16 -42441 Divide 12 by -1321. -12/1321 Calculate -182928 divided by 15244. -12 Calculate 874980 divided by -87498. -10 Calculate -75714 divided by 2. -37857 Calculate 250099 divided by -3. -250099/3 Divide 5 by 1237355. 1/247471 -17281 divided by -1571 11 Divide 8618 by -139. -62 Divide -467935 by -5. 93587 Divide -2355 by 13. -2355/13 -191 divided by -405 191/405 -508 divided by 605 -508/605 Divide -1460194 by 16979. -86 Calculate -676519 divided by 3. -676519/3 Divide -2664 by 1332. -2 Divide 20759 by -67. -20759/67 -71946 divided by 5139 -14 Divide -632313 by 6387. -99 Divide 1258213 by -1. -1258213 -39742 divided by 6 -19871/3 -9217 divided by 709 -13 19458 divided by 5 19458/5 -6 divided by -375728 3/187864 Calculate -3 divided by -48223. 3/48223 What is 214365 divided by 1? 214365 Divide -1 by -57583. 1/57583 Divide 4280 by -428. -10 What is 43512 divided by 12? 3626 Calculate 30 divided by 6716. 15/3358 -5951 divided by -2 5951/2 Calculate 86196 divided by -11. -7836 -741436 divided by -4 185359 Divide -11383 by -11383. 1 What is -95568 divided by 5973? -16 Calculate 2767789 divided by -95441. -29 Calculate 21 divided by -15026. -21/15026 Divide 17798 by 17798. 1 -116 divided by -1185 116/1185 8 divided by 33676 2/8419 What is -76446 divided by -186? 411 -3 divided by -83613 1/27871 What is -5403 divided by -832? 5403/832 Calculate -408 divided by -204. 2 -37908 divided by 9477 -4 Divide 251820 by 5. 50364 What is 534268 divided by 4? 133567 Divide 448 by 100. 112/25 -16 divided by -7295 16/7295 40000 divided by 64 625 14 divided by 910 1/65 Calculate -84956 divided by -268. 317 What is -75680 divided by -3784? 20 -697047 divided by 3 -232349 Calculate 276 divided by -139. -276/139 What is -1 divided by 528225? -1/528225 What is -10100 divided by -101? 100 What is -13 divided by 1773? -13/1773 Divide -5637288 by -90924. 62 Divide -239 by 231. -239/231 Divide 132642 by -1. -132642 2 divided by -13510 -1/6755 What is 10 divided by -929? -10/929 Calculate -2133 divided by -1. 2133 Calculate 95312 divided by -7. -13616 Divide -37 by 1178. -37/1178 What is 69342 divided by 182? 381 Divide -259 by 16. -259/16 Calculate -90596 divided by 3124. -29 Calculate 54524 divided by 317. 172 Divide -1922790 by -214. 8985 Divide 166150 by 10. 16615 -148 divided by 2355 -148/2355 -35048 divided by 52 -674 673640 divided by 6 336820/3 244849 divided by -22259 -11 Divide 273382 by 6. 136691/3 What is 1600 divided by -91? -1600/91 What is -4879 divided by -15? 4879/15 -224492 divided by 4 -56123 Calculate 342 divided by -315. -38/35 Divide 48550 by -1. -48550 What is -3339 divided by 1266? -1113/422 Calculate 1798236 divided by -6. -299706 What is 126522 divided by 891? 142 4378 divided by -1 -4378 Divide -2581800 by -130. 19860 -13511 divided by -4 13511/4 Calculate 23416 divided by 1. 23416 What is 61 divided by 645? 61/645 What is -897034 divided by -778? 1153 496220 divided by -49622 -10 Divide -5 by -7446. 5/7446 Calculate -140678 divided by -6. 70339/3 What is -466441 divided by 3? -466441/3 2 divided by -17667 -2/17667 What is 4 divided by 130798? 2/65399 What is 256672 divided by -128336? -2 What is -5810 divided by -86? 2905/43 -97110 divided by -2158 45 Calculate 666229 divided by -666229. -1 Divide -11 by -32430. 11/32430 What is -80696 divided by 308? -262 What is -26556 divided by -6? 4426 605619 divided by -67291 -9 Calculate 65340 divided by 5940. 11 -4 divided by -47498 2/23749 Calculate -40 divided by -69. 40/69 What is -1 divided by 34267? -1/34267 3 divided by 7684 3/7684 Calculate 68558 divided by -68558. -1 Divide -41792 by 16. -2612 Calculate 3158 divided by -3158. -1 Divide 2315 by -540. -463/108 Divide 138316 by 458. 302 -654675 divided by 1075 -609 What is -56 divided by 833? -8/119 1 divided by 1043601 1/1043601 Divide -12567 by -34. 12567/34 1 divided by 673817 1/673817 639 divided by 8 639/8 What is -6 divided by -81176? 3/40588 Calculate 959640 divided by -319880. -3 What is 109485 divided by 4? 109485/4 Calculate 29583 divided by 173. 171 Calculate -38058 divided by 2. -19029 What is 3 divided by 4122? 1/1374 Divide 0 by 5899. 0 Divide -2110942 by 2. -1055471 Divide -62310 by -10. 6231 Calculate 1432 divided by -80. -179/10 Divide 9114 by -2. -4557 1104284 divided by -4
{ "pile_set_name": "DM Mathematics" }
by (-12 + 44)*(-4)/(-2). 62 Suppose -10*a + 8 = i - 8*a, 3*a + 33 = i. What is the remainder when 51 is divided by i? 15 Suppose 2*z - 7*z = -3*d - 20, 5*d - 53 = -4*z. Suppose 0 = -3*p - 3*x + 9, -5*p + 11 = -3*p - 3*x. Calculate the remainder when z is divided by p. 3 Calculate the remainder when 80 is divided by ((-23)/5)/((-3)/15). 11 Let b = 8797 - 8780. Suppose 185 = 3*o - 373. Calculate the remainder when o is divided by b. 16 What is the remainder when 4/(-7)*(-2 + 240)/(-2) is divided by (-6)/4*28/(-3)? 12 Calculate the remainder when 3/5 - 9044/(-85) is divided by 22. 19 Suppose 6 = -10*x + 11*x. Let y be 3/(-2) + (-723)/x. Calculate the remainder when (-3)/(-2)*y/(-3) is divided by 32. 29 Let u = 48 + -20. Suppose f + 13 = -7. Let x = u + f. What is the remainder when x is divided by 4? 0 Suppose -l - 4*l - 22 = -2*i, 0 = -i - 4*l + 11. Let x = 13 - 19. What is the remainder when 91/3 + 2/x is divided by i? 8 Let r(t) = 4*t**3 + 14*t**2 + t - 4. What is the remainder when 37 is divided by r(-3)? 4 Let d be 1*(1 + (1 - 1)). Calculate the remainder when 193 is divided by (-1 + 7/2)/(d/26). 63 Let a be (-2)/(-3) + 4/(-6). Suppose -k + 7 = -a*k. Suppose t + 33*o - 37*o = -14, -t - 2*o + 10 = 0. What is the remainder when k is divided by t? 1 Suppose -1980 = -36*t + 6*t. What is the remainder when 193 is divided by t? 61 Suppose -24 = -y - 0*y. Let g = -48 + 56. Suppose g*a - 6*a = 92. What is the remainder when a is divided by y? 22 Suppose -a = -5*f + 2, -8*a + 5*a + 3*f + 30 = 0. Calculate the remainder when 17 is divided by a. 4 Suppose -4*p = -p - 96. Let o be (-7 - -4 - -2)*0. Suppose -2*v + 3*b = -o*v - 8, -v = -b - 5. What is the remainder when p is divided by v? 4 Let r = 11 - -6. Let y = r - -1. Calculate the remainder when y is divided by 5. 3 Let h = 143 - 132. Suppose -h*c + 16*c = -z + 551, -5 = -5*z. What is the remainder when c is divided by 38? 34 Let m(q) = -q**3 - 7*q**2 + 2. Let i be m(-7). Suppose 2*s - 10 = 0, o - i*s - 6 = 7. Calculate the remainder when (-4)/14 - 1250/(-14) is divided by o. 20 Suppose 3*b + s - 41 = 7, -2*s = 0. Let w(r) = -2*r + 24. Let d be w(13). Let x = b + d. What is the remainder when 23 is divided by x? 9 Suppose 2*m - 51 = s, 5*s - 2*s = m - 33. Let v = -5 - -9. Suppose -4*u + 3*f + 0*f + 278 = 0, 2*u - v*f = 134. What is the remainder when u is divided by m? 23 Suppose -34 = -6*g + 176. Calculate the remainder when g is divided by 8. 3 Suppose -2*d = -167 - 81. Calculate the remainder when d is divided by 60. 4 Suppose 5*i + 7*i - 1104 = 0. Let s = i - 61. What is the remainder when s is divided by 13? 5 Suppose 49*f = 16*f + 297. Let y = -25 - -41. Calculate the remainder when y is divided by f. 7 Suppose -144 - 32 = 4*b. Let a = b + 80. Calculate the remainder when a is divided by 20. 16 Let p(f) = f**2 + 2*f - 2. Let j be 550/(-6) + (-20)/(-30). Let b = 96 + j. Calculate the remainder when p(-6) is divided by b. 2 Let p = 39 - 11. What is the remainder when 25 is divided by (-1 + -1)/((-8)/p)? 4 Let s = 726 + -261. What is the remainder when s is divided by 26? 23 Let p = -37 - -42. Suppose 16 - 126 = -p*u. Calculate the remainder when 41 is divided by u. 19 Let j(n) = -n**3 + 11*n**2 - 8*n - 1. Let f be j(10). Let d = 10 + -26. Let x = f - d. Calculate the remainder when x is divided by 12. 11 Let n(y) = -3*y + 3. Let u be n(1). What is the remainder when (u + 0)*-1 - 2*-62 is divided by 42? 40 Let u(y) = -y + 9. Let d(c) = -c**3 - 6*c**2 + 5*c - 17. Let s be d(-7). Calculate the remainder when 31 is divided by u(s). 7 Let x(l) = -3*l - 19. Let p be x(-8). Suppose 4*s + p*t = -1, 2*s + 25 = 7*s + t. What is the remainder when 11 is divided by s? 5 Let s(l) = -l**3 + 9*l**2 - 9*l - 17. What is the remainder when s(5) is divided by 11? 5 Suppose -j + 7 = -4*y, 2*y + 2 = -j + 3. Suppose -3*f - v = -2*v, -3*f + 4*v = 0. Suppose 3*k + 0 - 24 = f. Calculate the remainder when k is divided by j. 2 Suppose -4*p + 233 = 3*v, -8*p = -3*p + 5. Let q = v - -29. Calculate the remainder when q is divided by 22. 20 What is the remainder when (-2)/12 + (-957)/(-18) is divided by 10? 3 Suppose 54*t = 59*t + 60. Let i(o) = 2*o**2 + 23*o - 5. Calculate the remainder when 19 is divided by i(t). 5 Suppose 4*y + 22 = 2*n + 4, 0 = -n + y + 7. What is the remainder when 7 is divided by n? 2 Suppose 39*v - 40*v = -15. Calculate the remainder when 136 is divided by v. 1 Suppose 0 = 15*c - 75 - 45. Suppose -c*k - 22 = -10*k. Calculate the remainder when 21 is divided by k. 10 Let a(i) = i**2 - 24*i - 57. What is the remainder when a(-16) is divided by 8? 7 Suppose 4*s - 8*s = -180. Suppose -5*h = -h - 92. What is the remainder when s is divided by h? 22 Let j(b) = -37*b**3 + 2*b**2 + 2*b. Let n(v) = v**3 + v**2 + 13. Calculate the remainder when j(-1) is divided by n(0). 11 Suppose 1038 = 16*b - 354. Calculate the remainder when b is divided by 10. 7 Let v = 156 - 125. Let s = -54 + 25. Let z = s + v. What is the remainder when 4 is divided by z? 0 Let t be 4/12*-7*-3. Suppose -t*j = -2*j + 15. Calculate the remainder when ((-11)/j)/((-2)/(-36)) is divided by 23. 20 Suppose 24*c + 154 = 46*c. What is the remainder when c is divided by 4? 3 Suppose -3*q + 198 = -45. Let s(w) = -42*w**3 - w**2 + 2*w - 1. Let c be s(1). What is the remainder when q is divided by c/9*(-5 + -1)? 25 Suppose 3*u + 309 - 870 = -2*b, 0 = 4*u + 4*b - 748. Suppose 3*h = u - 115. What is the remainder when 116 is divided by h? 20 Let j = -248 + 472. Calculate the remainder when j is divided by 76. 72 Let f = 376 + -263. What is the remainder when f is divided by ((-2)/6)/(2*5/(-870))? 26 Suppose -5*b = 3*b - 784. What is the remainder when b is divided by 20? 18 Let u = 2 - 1. Let s be 0/1 - (-5 + -1). What is the remainder when s + (5 - 3) + -5 is divided by u? 0 Suppose -65 = -6*l + 31. Let i = l - 13. Suppose 5*q = 3*c - 4*c + 20, c + 12 = i*q. Calculate the remainder when 8 is divided by q. 0 What is the remainder when (-46)/((-1)/(-1))*-1 is divided by ((-1)/4)/(17/(-1224))? 10 Suppose 29*k - 3234 = 18*k. Calculate the remainder when k is divided by 37. 35 Calculate the remainder when (-188 - 61)*4/(-3) is divided by 16. 12 Suppose z - 113 = 4*s, z - 98 = 4*s - 3*s. Suppose -2*c + z = 25. Calculate the remainder when c is divided by 9. 7 Suppose 127 = 6*o - 113. Suppose -28 = -2*c + 130. Calculate the remainder when c is divided by o. 39 Suppose 7*z + 72 = z. What is the remainder when 52 - (z - -11 - 0/1) is divided by 14? 11 Let i = 3493 + -3478. Let b(s) = 10*s + 2. What is the remainder when b(4) is divided by i? 12 Suppose 0 = 6*k - 1425 - 225. Calculate the remainder when k is divided by 40. 35 Let j = 153 + 9. Calculate the remainder when 25/10*j/15 is divided by 8. 3 What is the remainder when -2 + ((2 - -56) + 4)*2 is divided by 25? 22 Suppose -8*k + 527 - 335 = 0. Calculate the remainder when 154 is divided by k. 10 Let t(i) = 2*i**2 + i + 1. Let x(y) = y**3 - 5*y**2 + 5*y - 3. Let u be x(4). Let l(j) = 3*j + 1. Calculate the remainder when t(-2) is divided by l(u). 3 Suppose -a - 11 = -3*g - 4, -g + 6 = -4*a. Suppose g = -0*o + o. Suppose 0 = -f + 16 - o. Calculate the remainder when 54 is divided by f. 12 Suppose 0 = 6*x - 18*x + 876. What is the remainder when 143 is divided by x? 70 Let s = 681 + -500. Calculate the remainder when s is divided by 73. 35 Let u = 25 - 15. What is the remainder when 57 is divided by (-5)/10*0 + 2 + u? 9 Suppose -45*d + 4402 = 26*d. Calculate the remainder when d is divided by 37. 25 Let c(w) = -4*w + 45. Let z be c(0). What is the remainder when 1389/z - 2/(-15) is divided by (-7)/((-21)/54) - 2? 15 Suppose 11*w = 7*w - 20, -4*w = -3*t + 752. Calculate the remainder when t is divided by 64. 52 Let z(p) = -p**3 + 7*p**2 - 4*p + 4. Let c be z(5). Let f = c - 2. What is the remainder when 222 is divided by f? 30 Let c(n) = 4*n**2 - 12*n + 0*n - 12 - 3*n + 2*n + n**3. What is the remainder when c(-5) is divided by 9? 1 Suppose -3*t + 3989 = -m, 5*m = -2*t + 3*t - 19973. Let b be 1/(-6) - m/30. Let w = b - 84. What is the remainder when w is divided by 13? 10 Let z(q) = -q**2 + 23*q + 373. Calculate the remainder when z(31) is divided by 30. 5 Suppose o - 2699 = -5*a, 2*a - 453 = o + 628.
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from ssnmssnn. What is prob of picking 1 s and 1 m? 1/7 Calculate prob of picking 1 r and 3 h when four letters picked without replacement from hkkhhhhhrhhhphih. 33/364 Four letters picked without replacement from dcqccvq. Give prob of picking 2 c and 2 q. 3/35 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vpvpppvppp. 7/15 Two letters picked without replacement from {z: 7, n: 1, d: 4, a: 2}. What is prob of picking 1 a and 1 n? 2/91 Two letters picked without replacement from ililldid. What is prob of picking 2 l? 3/28 Calculate prob of picking 1 i, 2 d, and 1 z when four letters picked without replacement from {i: 4, x: 1, z: 1, d: 2}. 2/35 Calculate prob of picking 3 t when three letters picked without replacement from {q: 6, t: 12}. 55/204 Three letters picked without replacement from {v: 1, b: 1, n: 3, w: 2, j: 3}. Give prob of picking 1 w and 2 n. 1/20 Two letters picked without replacement from gggggkkggkgkkggggggg. What is prob of picking 1 g and 1 k? 15/38 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 1, a: 2, i: 3, b: 3, p: 1}. 1/45 Calculate prob of picking 3 z and 1 b when four letters picked without replacement from jzgzgaajdgbza. 1/715 Two letters picked without replacement from {i: 1, s: 2}. What is prob of picking 2 s? 1/3 Calculate prob of picking 1 z and 1 a when two letters picked without replacement from mnimzanzasaa. 4/33 What is prob of picking 2 a when two letters picked without replacement from oommamoaoomo? 1/66 Two letters picked without replacement from ymcwmdwmpcdwmwydwmcw. What is prob of picking 1 m and 1 w? 3/19 What is prob of picking 1 w, 2 a, and 1 k when four letters picked without replacement from kwwwaaw? 4/35 Three letters picked without replacement from eeeeekek. Give prob of picking 2 e and 1 k. 15/28 Calculate prob of picking 1 g and 3 j when four letters picked without replacement from {j: 4, g: 7}. 14/165 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {w: 6, v: 1, t: 1, r: 4, m: 1}. 1/78 Four letters picked without replacement from jllljjlgggg. What is prob of picking 3 j and 1 g? 2/165 Two letters picked without replacement from fxzpfxgxfpzxzfxf. What is prob of picking 1 g and 1 z? 1/40 Four letters picked without replacement from ddddsgdgddsgss. What is prob of picking 2 d, 1 s, and 1 g? 36/143 Four letters picked without replacement from wwwwddwwwdwddwdwwww. Give prob of picking 4 w. 715/3876 Two letters picked without replacement from {a: 5}. Give prob of picking 2 a. 1 Two letters picked without replacement from zsfaswz. What is prob of picking 1 s and 1 z? 4/21 What is prob of picking 3 v when three letters picked without replacement from {b: 4, v: 10}? 30/91 Four letters picked without replacement from {i: 3, f: 12}. What is prob of picking 4 f? 33/91 What is prob of picking 1 s and 1 w when two letters picked without replacement from {t: 2, x: 1, s: 2, f: 3, w: 6, o: 5}? 4/57 Two letters picked without replacement from xvogs. Give prob of picking 1 o and 1 s. 1/10 What is prob of picking 1 m, 2 r, and 1 d when four letters picked without replacement from crrdgmd? 2/35 Three letters picked without replacement from {q: 3, e: 6, x: 8}. Give prob of picking 2 q and 1 x. 3/85 Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {l: 2, c: 4, n: 1, h: 2, t: 1}. 1/120 Calculate prob of picking 1 v, 2 p, and 1 i when four letters picked without replacement from {p: 2, o: 1, k: 1, v: 2, f: 1, i: 1}. 1/35 Calculate prob of picking 1 d and 1 t when two letters picked without replacement from ddddddddddtdddddddd. 2/19 Two letters picked without replacement from itt. What is prob of picking 2 t? 1/3 Three letters picked without replacement from xxxxxoxoxxxyyoxxyxx. Give prob of picking 3 o. 1/969 Three letters picked without replacement from {h: 1, z: 8, g: 1, c: 1, u: 1}. Give prob of picking 1 z, 1 h, and 1 g. 2/55 What is prob of picking 2 s and 1 q when three letters picked without replacement from bhbqhshhahhsqbhaaha? 2/969 What is prob of picking 2 g, 1 p, and 1 u when four letters picked without replacement from {t: 1, g: 2, p: 1, u: 2, c: 2}? 1/35 Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, h: 8, e: 8}. 3/95 What is prob of picking 1 m, 1 v, and 1 l when three letters picked without replacement from {v: 1, m: 1, e: 2, h: 1, l: 1, s: 1}? 1/35 What is prob of picking 1 v, 2 r, and 1 d when four letters picked without replacement from crfffcvrccvfcdc? 2/1365 Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 2, r: 5}. 10/21 What is prob of picking 3 w when three letters picked without replacement from owowwwwwwwo? 56/165 What is prob of picking 1 p and 2 r when three letters picked without replacement from {p: 1, r: 9, s: 1}? 12/55 What is prob of picking 3 n and 1 h when four letters picked without replacement from hennnhnen? 10/63 Calculate prob of picking 1 d, 1 o, and 2 x when four letters picked without replacement from {d: 5, o: 1, i: 1, x: 2, f: 3}. 1/99 What is prob of picking 3 y and 1 g when four letters picked without replacement from {g: 1, j: 6, y: 3, f: 5}? 1/1365 What is prob of picking 1 a, 1 h, and 1 i when three letters picked without replacement from yigazyh? 1/35 Four letters picked without replacement from yyyyyyyyy. Give prob of picking 4 y. 1 What is prob of picking 1 l and 1 y when two letters picked without replacement from glylgll? 4/21 Four letters picked without replacement from bhbbbbeeebhwewwubbb. What is prob of picking 1 w, 1 b, 1 u, and 1 e? 9/323 What is prob of picking 2 y when two letters picked without replacement from yyqyyvvyyyyvvyvq? 3/10 Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {d: 2, m: 3, p: 2, v: 1, n: 6, g: 1}. 1/35 What is prob of picking 2 x when two letters picked without replacement from vvvvvvvvvvxvxxvvxvv? 2/57 Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 1, k: 3, t: 3}. 1/7 Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {i: 5, p: 1, u: 3}. 1/28 What is prob of picking 1 v, 1 d, and 1 r when three letters picked without replacement from {v: 3, d: 1, r: 2, b: 4}? 1/20 What is prob of picking 1 q, 1 x, and 2 l when four letters picked without replacement from qlsslwswxws? 1/330 Calculate prob of picking 2 v and 1 z when three letters picked without replacement from vvqzvvzq. 3/14 Calculate prob of picking 1 e and 1 f when two letters picked without replacement from egeettgekeekgggtefem. 4/95 What is prob of picking 1 f and 2 x when three letters picked without replacement from {f: 1, n: 1, x: 2, i: 1}? 1/10 Calculate prob of picking 2 q, 1 p, and 1 v when four letters picked without replacement from xpvqpqmx. 1/35 Three letters picked without replacement from bcll. Give prob of picking 1 c and 2 l. 1/4 Two letters picked without replacement from aafarrr. What is prob of picking 2 a? 1/7 Two letters picked without replacement from {q: 4, n: 16}. What is prob of picking 1 n and 1 q? 32/95 Calculate prob of picking 1 l, 1 k, and 2 r when four letters picked without replacement from zrlggrzzffzzk. 1/715 Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {b: 1, i: 1, d: 1, s: 1, x: 4}. 1/28 Two letters picked without replacement from {g: 1, v: 2, e: 2, n: 1, w: 1, p: 1}. Give prob of picking 1 n and 1 e. 1/14 Two letters picked without replacement from {i: 2, h: 4, s: 6, v: 6}. What is prob of picking 2 v? 5/51 What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, u: 2, q: 1, c: 1}? 1/10 Two letters picked without replacement from {u: 1, o: 3, q: 1, d: 2}. What is prob of picking 1 q and 1 u? 1/21 Four letters picked without replacement from {y: 14, a: 4}. Give prob of picking 2 a and 2 y. 91/510 Three letters picked without replacement from eteetwetewteeewe. Give prob of picking 2 t and 1 w. 9/280 What is prob of picking 2 i when two letters picked without replacement from {p:
{ "pile_set_name": "DM Mathematics" }
0 Let g = 419/6 - 103/2. Let a be 2/(-4) - (-15369)/1440. Let v = 1/160 - a. What is the common denominator of v and g? 6 Calculate the common denominator of 23/9 and 24/(-22)*42/(-18). 99 Let q(f) = -2*f - 3. Let o be q(-3). Suppose -5 = -m - 0, o*i + 2*m = 19. Calculate the smallest common multiple of i and 5. 15 Suppose i = -0 + 9. Calculate the least common multiple of 2 and i. 18 Let z be (-2)/(-2995)*15/(-12). Let t = 26053/4193 - z. Calculate the common denominator of t and 59/22. 154 Let g = -59 + 70. What is the least common multiple of 1 and g? 11 Let j(i) = -525*i - 2. Let m be j(-3). Let k be 2*-1 - 28312/18. Let g = k + m. Find the common denominator of g and 23/4. 36 What is the common denominator of ((-15)/40)/((-3)/(-146)) and 95/34? 68 Let z = 4129 - 2940. Let n be 9342/z + 0 + 0. Let m = -1/8323 - n. Find the common denominator of m and 79/4. 28 Suppose 72 = 6*f - 2*f. What is the lowest common multiple of f and 10? 90 Calculate the lowest common multiple of 4/12*(-48)/(-2) and 16. 16 Suppose -74 = -6*c - 14. What is the lowest common multiple of c and 188? 940 Suppose -129 + 41 = -4*g. Suppose -5*z + 2 = -18. What is the smallest common multiple of z and g? 44 Let g = 33 + -26. Calculate the lowest common multiple of g and 6/9 - (-14)/6. 21 Let j(y) = -y**3 - 10*y**2 + 10*y + 9. What is the smallest common multiple of j(-11) and (-1 - 1)*-1*3? 60 Let o(i) = i + 1. Let a be o(-3). What is the lowest common multiple of (3 - 1 - a)*4 and 16? 16 Suppose 1 = 5*p - 29. Suppose 2*v - v + 4*s + p = 0, s = 2*v - 6. Calculate the smallest common multiple of 5 and v. 10 Let f(h) = 10*h + 21. What is the common denominator of -50/19 and f(-6)? 19 Calculate the smallest common multiple of 75/10*8/10 and 16. 48 Let i = -1 - -5. Suppose -43*u + 216 = -39*u. What is the least common multiple of 14 and u/i + 1/2? 14 Calculate the smallest common multiple of 14 and (-6 - -4)/1 + 42. 280 Let q = -2709 + 29779/11. Let f be 12/8 + 462/(-244). Let t = 3109/305 + f. What is the common denominator of q and t? 55 Let h(t) = -17*t**3 - 2*t + 1. Suppose 3 = 2*m + 1. Let l be h(m). Find the common denominator of 1*-4*(-57)/l and -68/3. 3 Let d(a) = -a**2 + a + 9. What is the least common multiple of 1 and d(0)? 9 Let y = 1 + 5. What is the lowest common multiple of 20 and ((-4)/y)/(2/(-24))? 40 Suppose 0 = 5*q + 4*m - 17, -2*m = -3*q - m. Suppose -q = r - 23. Let w = -25 + 33. What is the smallest common multiple of r and w? 88 Let a = 3495 + -5978. Let v = -17418/7 - a. Find the common denominator of 59/2 and v. 14 Suppose 0 = 2*a + 5*o - 4, 0 = -o - 0 - 4. Calculate the least common multiple of 12 and 195/a - 1/4. 48 Let k(g) = -g**3 - 3*g**2 - 3*g - 4. What is the lowest common multiple of k(-3) and 1? 5 Let l = 0 - -2. Suppose 0*p - 32 = -l*p. Calculate the smallest common multiple of p and 8. 16 Let m be 2606/(-140) + 2/(-7). Let t(x) = x**3 + 2*x + 13. Let z be t(0). Let g = z + m. What is the common denominator of g and -3/14? 70 Let s(w) = w**3 - 3*w**2 + 5*w - 4. Let b be s(3). Suppose b = p - 0*p. Calculate the lowest common multiple of (-8 + 4)*((-36)/(-16) + -3) and p. 33 Suppose 4*x = 5*g - 60, x = -2*g + 6*g - 59. Suppose 2*a - g = 2*h + 3*h, a + 3*h = -3. What is the lowest common multiple of 11 and a? 33 Suppose 0 = 2*u - 7*u + 50. What is the smallest common multiple of u and 11? 110 Suppose 2*t - 1841 + 6691 = 0. Let s be (-10)/(-32)*-6*1302. Let p = s - t. Calculate the common denominator of p and -47/14. 28 Suppose 0*j - 5*j = -10. Suppose -3 = -j*g + 1. What is the least common multiple of 6 and g? 6 Let t = -14755/6462 - -2/359. Calculate the common denominator of 1/((-36)/(-82)) - -2 and t. 18 Suppose 2*s - 29 - 15 = 0. Calculate the smallest common multiple of s and 20. 220 Let t = 30/13 - 963/130. Find the common denominator of t and 31/6. 30 Suppose a = -4*p - 302, 3*a - 378 = 4*p - 84. Calculate the common denominator of -41/8 and (-54)/p*110/8. 40 Let t be 1/30*2/529. Let c = -357097/174570 + t. Find the common denominator of c and 87/14. 154 Let n be (-3 - 3/(-9))*3. Let v = n - -10. Calculate the lowest common multiple of 11 and v. 22 Suppose 10*c - 5*c = 0. Suppose 5*f - 10 = -c*f. Suppose 4*b = f*b + 2. Calculate the least common multiple of 10 and b. 10 Let h(j) = 5*j + 4*j + 2 - 5*j. What is the lowest common multiple of h(2) and 5? 10 Suppose 0 = 3*u - 3*b - 22 - 8, -8 = u + 5*b. Let v = 3 + u. Suppose -3*n + 21 = 3*l - n, -l + 4*n = 7. Calculate the smallest common multiple of l and v. 10 Suppose -n - 3 = v + 3, v + 3 = -4*n. Let z = 31 + -15. What is the least common multiple of 4*(-1)/2*v and z? 112 Let m(o) = -4*o + 8. Let b(k) = -5*k + 8. Let t(d) = 3*b(d) - 4*m(d). What is the lowest common multiple of 10 and t(9)? 10 Suppose 5*i - 15 = 0, 3*i + 138 + 9 = 4*r. Suppose o = -o - 3*k + 19, -5*o + k = -r. What is the common denominator of o/(-10)*(-35)/(-6) and -71/3? 3 Suppose -k - 2*k + 28 = 2*w, -45 = -5*k - 5*w. What is the least common multiple of 4 and k? 20 Let f = -2/1103097 + -3238325087/3309291. Let o = -980 - f. Find the common denominator of o and -23/3. 9 Suppose -11 = 3*u + 1. Find the common denominator of -77/2 and u + 4 + (-95)/(-6). 6 Let t = -28 + 18. Let z = 1884 - 16934/9. Calculate the common denominator of z and 134/10*t/(-12). 18 Let m(o) = -o**3 + 3*o**2 + 7*o - 6. Let l = 0 - 5. Calculate the smallest common multiple of m(4) and (90/25)/((-2)/l). 18 Suppose -q + 100 = 2*q + 5*h, -3*h - 52 = -q. Let p = 278/7 - q. Find the common denominator of 1 - 339/30 - 0 and p. 70 Suppose 5 = 3*s - 10. Suppose -2*x - 42 = -48. Suppose -2*m + 7 + s = -x*q, m = 5*q + 6. What is the smallest common multiple of m and 2? 6 Let y = -532 + 2083/4. What is the common denominator of -101/10 and y? 20 Let y = 8402 - 1335. Let c = -42515/6 + y. Calculate the common denominator of c and -137/18. 18 Let s(d) = -d**3 + 8*d**2 - 8*d + 2. Let y be s(6). Let i be -11*(-1)/(-2)*y. What is the common denominator of -9/2 and -2 + 0 + i/(-20)? 20 Find the common denominator of -4/3 and (-25)/(-36) - (-2)/(-8). 9 Let h = -33404/29903 - 1/1759. Let q = h - 783/136. Find the common denominator of -93/16 and q. 16 Suppose 80 = 5*w + 5*k, 3*k + 2*k = 5*w - 120. Let r(y) = y**3 + 5*y**2 + 8. Let p be r(-6). Find the common denominator of 65/9 and w/(-14)*p/(-6). 9 Let q be 8/3 - 2/(-6). Let k = 69781/14 - 4979. What is the common denominator of (-251)/(-60) - 1/q and k? 140 Let z = -2 + 11. What is the lowest common multiple of 9 and z? 9 Suppose o - 3*o + 11 = -l, 0 = -3*l + 3. Calculate the lowest common multiple of o and 24. 24 Let k = 4 - -6. Calculate the smallest common multiple of k and 15. 30 Suppose -2*i + 2 = -5*p, -5*i = 2*p - i + 20. Let g = p - -48. Calculate the common denominator of g/40*-2 - 0 and -85/2. 10 Suppose -5*x + 176 = 4*o - 145, -5*o = -5*x + 285. Let m = 34926 + -279893/8. Let k = x + m. What is the common denominator of 37/5 and k? 40 Let y = 16 - 7. Calculate the least common multiple of 7 and y. 63 Calculate the common denominator of 118*1/(-8)*2 and (4 - 4) + (-131)/6. 6 Let z = 73 + -801/11. Calculate the common denominator of (-143)/6 + 8/(-12) and z. 22 Find the common denominator of (-1754)/288 + (-3 - 50/(-18)) and -83/18. 144 Find the common denominator of (-6)/15 - 606/(-140) and -139/18. 126 Let z(m) be the first derivative of m**2/2 - 3*m - 1. Calculate the smallest common multiple of 2 and z(6). 6 Let n(x) = -x + 5. Let v be n(5). Suppose v = d + 21 - 53. What is the lowest common multiple of d and 20? 160 Let r = 27 + -26. What is the least common multiple of r and 14? 14 Let a(r) = r**3 + 7*r**2 + 6*r - 1. Let n be a(-6). What is the common denominator of -31/20 and (n - (-54)/(-32))/(-1)? 80 Let m(u) = -2 + 1 - u + 7. Let b = 8 - 13. Calculate the least common multiple of 4 and m(b). 44 Let n = 15 + -11. What is the lowest common multiple of 10 and (2/(-4))/(n/(-16))? 10 What is the common denominator of -39/20 and -3 - (12/16 + -3)? 20 Let y = -36319/10 + 3629. Let d = 24734 + -544245/22. Find the common denominator of d and y. 110 Suppose 3*v - 16 = -5*q, 2*v = 7*v - 2*q - 6. Calculate the smallest common multiple of 3 and v. 6 Suppose -b - 3*d - 26 = -5*b, -b = 2*d - 1. Let i(y)
{ "pile_set_name": "DM Mathematics" }
ent from {d: 9, s: 1, f: 1, r: 2, i: 3, m: 3}. What is prob of picking 2 i and 2 d? 9/323 Calculate prob of picking 3 n and 1 q when four letters picked without replacement from pvnnndpnpnnnqvnpnn. 2/51 Calculate prob of picking 2 c when two letters picked without replacement from {c: 17, f: 3}. 68/95 Three letters picked without replacement from hohhooe. Give prob of picking 1 e and 2 o. 3/35 What is prob of picking 2 o when two letters picked without replacement from {o: 2, p: 2}? 1/6 Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {o: 5, e: 3, f: 1}. 5/12 Four letters picked without replacement from {c: 2, i: 5, t: 3}. Give prob of picking 2 i and 2 t. 1/7 What is prob of picking 2 w and 1 g when three letters picked without replacement from dwgudwwdudw? 2/55 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tttttntntnntttntttn. 26/57 What is prob of picking 2 p and 2 g when four letters picked without replacement from {r: 1, d: 3, p: 2, w: 2, g: 2, f: 4}? 1/1001 Calculate prob of picking 2 w when two letters picked without replacement from wwsssew. 1/7 What is prob of picking 1 u, 1 v, and 1 a when three letters picked without replacement from {v: 4, a: 1, r: 1, s: 1, u: 4}? 16/165 What is prob of picking 1 v, 1 k, and 1 f when three letters picked without replacement from {x: 4, f: 3, q: 4, e: 1, v: 2, k: 6}? 3/95 What is prob of picking 2 w when two letters picked without replacement from {z: 1, w: 2, n: 1}? 1/6 Four letters picked without replacement from {p: 3, e: 3, s: 1}. What is prob of picking 2 p and 2 e? 9/35 Two letters picked without replacement from {i: 1, y: 2, g: 2, x: 1}. What is prob of picking 1 g and 1 y? 4/15 Calculate prob of picking 1 i, 1 y, and 1 q when three letters picked without replacement from {z: 4, m: 2, y: 4, i: 8, q: 1}. 32/969 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rzrdr. 3/10 What is prob of picking 2 h and 1 u when three letters picked without replacement from {a: 2, u: 5, v: 1, i: 4, h: 2}? 5/364 What is prob of picking 1 w and 1 j when two letters picked without replacement from {x: 1, e: 4, w: 4, j: 1, z: 4, y: 1}? 4/105 Two letters picked without replacement from bxuuaxaxbbxxuwxbax. Give prob of picking 1 b and 1 a. 4/51 Four letters picked without replacement from {j: 3, f: 2, v: 3, b: 7, s: 4}. What is prob of picking 2 j, 1 v, and 1 f? 3/646 Two letters picked without replacement from ruuuryruryryrury. What is prob of picking 1 u and 1 r? 7/24 Three letters picked without replacement from mgcnpgnpmung. What is prob of picking 2 g and 1 c? 3/220 Two letters picked without replacement from tteetkxxet. What is prob of picking 2 t? 2/15 Three letters picked without replacement from tebubttbothhtttuut. Give prob of picking 1 o and 2 b. 1/272 What is prob of picking 2 u and 1 a when three letters picked without replacement from {a: 2, h: 4, u: 2, n: 1}? 1/42 Calculate prob of picking 1 k, 1 n, and 2 j when four letters picked without replacement from {k: 9, j: 7, n: 2}. 21/170 Two letters picked without replacement from jzzjzjjjjjj. What is prob of picking 2 z? 3/55 Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueuo. 1/3 Four letters picked without replacement from twttww. Give prob of picking 3 t and 1 w. 1/5 Two letters picked without replacement from {r: 3, w: 3, t: 2}. What is prob of picking 2 r? 3/28 What is prob of picking 2 v and 1 j when three letters picked without replacement from {v: 12, g: 1, h: 4, j: 3}? 33/190 Three letters picked without replacement from {k: 1, a: 2, g: 2, w: 7, y: 6, p: 1}. Give prob of picking 1 y, 1 g, and 1 w. 28/323 What is prob of picking 2 m when two letters picked without replacement from {m: 2, z: 9, c: 1, e: 1, w: 5}? 1/153 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from pxmyyxpppppyyyybppx. 8/171 Four letters picked without replacement from {i: 4, n: 2, v: 1, m: 4, t: 5}. Give prob of picking 2 n, 1 t, and 1 v. 1/364 Three letters picked without replacement from {e: 2, x: 5, k: 3}. Give prob of picking 1 k and 2 e. 1/40 Calculate prob of picking 4 d when four letters picked without replacement from {d: 7, s: 1}. 1/2 Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {n: 10, z: 9}. 10/19 Four letters picked without replacement from mteattntaett. What is prob of picking 2 a and 2 t? 1/33 Two letters picked without replacement from kkjj. What is prob of picking 1 k and 1 j? 2/3 What is prob of picking 1 b and 1 i when two letters picked without replacement from tnhsbibi? 1/7 Three letters picked without replacement from {s: 2, t: 5}. Give prob of picking 1 s and 2 t. 4/7 Three letters picked without replacement from {d: 8, y: 4, p: 2}. What is prob of picking 2 p and 1 y? 1/91 Calculate prob of picking 1 j, 1 u, and 2 c when four letters picked without replacement from {k: 3, e: 1, c: 3, u: 2, j: 1}. 1/35 Four letters picked without replacement from upmsaaummasa. Give prob of picking 1 a and 3 m. 4/495 Three letters picked without replacement from lbpbgmp. Give prob of picking 1 l and 2 b. 1/35 Calculate prob of picking 1 v and 1 l when two letters picked without replacement from bbvbvblbbbevbebb. 1/40 Calculate prob of picking 1 l and 2 r when three letters picked without replacement from rrrrrrlrrlrllrrllrr. 156/323 Calculate prob of picking 1 z, 1 w, and 1 g when three letters picked without replacement from wwwzwwgzwgw. 28/165 Calculate prob of picking 2 k and 1 n when three letters picked without replacement from nnnnknnknn. 1/15 What is prob of picking 2 h when two letters picked without replacement from {y: 3, h: 9}? 6/11 What is prob of picking 1 v and 2 b when three letters picked without replacement from bbbbbvbbbbbbbbbbbbbb? 3/20 Calculate prob of picking 4 r when four letters picked without replacement from {r: 3, g: 4}. 0 Calculate prob of picking 1 i and 3 h when four letters picked without replacement from {i: 1, d: 2, v: 9, h: 3, e: 4}. 1/3876 Three letters picked without replacement from {d: 2, s: 2, q: 2}. What is prob of picking 2 s and 1 d? 1/10 Four letters picked without replacement from {n: 3, f: 11}. Give prob of picking 4 f. 30/91 Calculate prob of picking 1 k and 2 f when three letters picked without replacement from fkkpkpkkkkkkfkkkpk. 13/816 Four letters picked without replacement from {t: 3, b: 7}. What is prob of picking 4 b? 1/6 What is prob of picking 2 s, 1 q, and 1 l when four letters picked without replacement from {l: 7, q: 2, z: 7, s: 3}? 7/646 Three letters picked without replacement from {n: 1, z: 1, v: 10, h: 5, x: 2, w: 1}. Give prob of picking 3 h. 1/114 What is prob of picking 1 e, 1 v, and 1 n when three letters picked without replacement from {v: 6, n: 1, o: 1, e: 1}? 1/14 Two letters picked without replacement from jrwjjojloj. Give prob of picking 1 w and 1 l. 1/45 Calculate prob of picking 1 c and 3 w when four letters picked without replacement from {i: 2, c: 4, w: 10}. 24/91 Three letters picked without replacement from jnrrrnn. Give prob of picking 3 r. 1/35 Calculate prob of picking 1 z and 3 m when four letters picked without replacement from zmmzmzmmzmmmmmmzmm. 143/306 Two letters picked without replacement from xxpypqpqqqxayqqqqq. Give prob of picking 1 a and 1 y. 2/153 Four letters picked without replacement from hfhfhfhhhhfhhhfh. What is prob of picking 3 f and 1 h? 11/182 Calculate prob of picking 2 p and 1 i when three letters picked without replacement from oipooiip. 3/56 Three letters picked without replacement from {g: 1, s: 1, m: 2, n: 2, k: 1, d: 1}. Give prob of picking 1 n, 1 k, and 1 s. 1/28 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {q: 4, b: 4, r: 2, i: 1, a: 6}. 1/68 Four letters picked without replacement from {m: 2, h: 2, g: 1, w: 4}. What is prob of picking 1 g, 2 h, and 1 w? 2/63 Two letters picked without replacement from {r: 1, s: 1, k: 1, f: 1, i: 1}. Give prob of picking 1 k and 1 s. 1/10 Four letters picked without replacement from tqqtotqjjwq. Give prob of picking 1 j and 3 t. 1/165 Three letters pic
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -1/3*l**3 - l**2 + 0 + 0*l - 11/12*l**4. Let h be d(1). Is h at least -23? False Let v = 18.1 + 4.9. Let n = v + -14. Let f = n + -9. Which is bigger: -1 or f? f Let z = -218.9 - -219. Are 3.2 and z equal? False Suppose -67 = -5*t - 3*c, 0 = 5*t - 5*c - 37 - 38. Let d(y) = y**3 - 14*y**2 - y + 16. Let h be d(t). Which is smaller: 4 or h? h Let l = 148/345 - 2/69. Let p(z) = -z - 7*z - 19 + 4*z + 2*z. Let o be p(-10). Does o = l? False Let d = -32 + 29. Let m be (-12)/d + -1 + -4. Which is bigger: m or 1/24? 1/24 Let g = 10340014/445 - 23236. Which is smaller: g or -1? -1 Let b(d) = -d + 27. Let i = 11 - 13. Let y be i*8*(-3 - -2). Let o be b(y). Is -0.2 greater than o? False Suppose -30*w + 850 = -5*a - 28*w, 2*a + 311 = -5*w. Is a greater than -168? False Let s be 10*(-5)/780*4. Are -1 and s non-equal? True Let t = -88.59 - -88. Let l = 6556 + -6528.41. Let c = t + l. Which is greater: c or 2/5? c Let c = -114 + 115. Let o = -0.2 + 0. Let x = o - -0.8. Which is smaller: c or x? x Let n = -184 - -2019/11. Which is bigger: 2 or n? 2 Let q = 4 + -5. Let f be (1 - -2) + q + 1. Suppose 5*i = -4*n + 25, -5*i = -f*n - n + 15. Is -3/5 < i? True Let f = 954 + -1609. Is f equal to -656? False Suppose 0 = 10*j - 162 - 38. Is j at least 20? True Let r(z) = z**3 - 4*z**2 + 3*z. Let d be r(2). Let s(a) = a + 4. Let u be s(d). Suppose 0 = -4*p + u*p. Do p and 1/5 have different values? True Let o be (((-7)/(-126))/1)/(2/42). Which is smaller: 1 or o? 1 Let b be 1/5 - (4 - (-10516)/(-2695)). Which is greater: b or 1? 1 Suppose 0 = 62*r - 73*r - 5808. Which is smaller: r or -530? -530 Let p = 55 + -51. Let z be p/(-3)*(-3 - 0). Which is smaller: z or -3/5? -3/5 Let o = -20 + 20. Which is smaller: -1/62 or o? -1/62 Suppose 369 = -3*l + 3*d, 0 = -l - d + 15 - 130. Let h = 118 + l. Let f = -59/2 + 29. Which is greater: f or h? f Let b be 1/(((-4)/(-82))/(-8 + -2)). Let d be b/110 - 6/(-3). Is d >= 0? True Suppose 63*j - 47*j = 352. Are j and -1 nonequal? True Let x be (-187)/34*(10 - 2). Does -0.2 = x? False Suppose 3*o = 2*o - 3*u - 8, -3*o + 4*u - 24 = 0. Let m be 3 - o*3/(-6). Is 14/13 at most m? False Let l(p) = 3*p + 29. Suppose -3*c = 26 + 1. Let k be l(c). Which is smaller: k or 11? k Let y(j) = 9*j - 29. Let i be y(19). Suppose 2*n + 4*k + 70 = 0, -6*n + k = -n + i. Is -29 bigger than n? False Let v = -1.026 + 0.026. Is 31 less than or equal to v? False Let x be (-139*1)/((-2)/(-10)). Let w = x - -2062/3. Is -7 <= w? False Let m = -961/9 + 107. Let a = 108 - 537/5. Is m <= a? True Let q be (-50)/30*120/85. Is q at least as big as -1? False Suppose 0 = -3*j + 3*q + 9, 0 = 5*q - 5. Suppose -2*t = -2*z + 6, 0 = 2*z + 2*t - 16 + 2. Let l = 0 + z. Is j < l? True Let k = 228 - 230. Is k > -38/13? True Let p be (204/207 + -1)/(2/(-84)). Is 0 bigger than p? False Let j = -387 - -127. Let h be 134/(-26) + (-40)/j. Which is bigger: h or -6? h Let s = 32 - 103/3. Let l(k) = 2*k. Let n be l(2). Suppose 2*u = n*u + 5*b - 11, -3*u + 2*b - 12 = 0. Which is smaller: s or u? s Suppose 19 - 25 = -6*f. Is 2/67 at least as big as f? False Let z be 32/144 + (-680)/387. Which is greater: z or -1? -1 Suppose 8*i + 19 = 11. Which is smaller: i or 9/101? i Let d be 7/12 - 1/3. Let n = -6.9954 - 0.0046. Is n at most d? True Let g = -3.8 - -8.8. Let y = -3 + g. Suppose 0*r = r. Which is greater: y or r? y Let c be 0/(-1) + 12/(-1600)*2. Which is smaller: c or 0? c Let f = -11 - -5. Let k(x) = -x**2 - 5*x + 5. Let t be k(f). Let l = 1 - 1. Which is smaller: l or t? t Let z be (10/(-2) + 2)*-3. Let j be ((-24)/20)/(z/30). Let f = j + -1. Is -4 greater than f? True Let o = 8.09 + -8. Let z = 0.79 - o. Let f = 0.6 - z. Which is bigger: 0.4 or f? 0.4 Let t be 2*(3/2 + -2). Let a = 16843/21 + -802. Which is smaller: a or t? t Let z = 1.3 + 5.7. Let u = -244.04 - -251. Let b = u - z. Is b smaller than -0.1? False Let l = 870 - 871. Which is greater: l or -2/169? -2/169 Let z(f) = -f**3 - 11*f**2 - 12*f + 10. Let v be z(-9). Suppose -3*d = -d - 2*w + 90, -2*d + 4*w = 94. Is v >= d? False Let h = 561 + -561. Let o(c) = -16 + 0*c - 3*c + 2*c. Let s be o(h). Which is greater: s or -17? s Suppose 4*h - 3 - 5 = -t, 5*h + 5*t - 25 = 0. Let b(q) = 11*q**3 + q**2 - q - 1. Let j be b(h). Is 9 at least j? False Let l be 46*3/(-6)*-1. Let u = l - -6. Suppose 2*s + 2*y = -30, 3*s = -0*y + y - u. Is -10 smaller than s? False Let c = 0.01 - 6.01. Let t = -6.1 - c. Let x = t + 1.1. Which is smaller: 2 or x? x Let j = 288 - 292. Let r = -14 + 10. Does j = r? True Let j = -0.365 + 0.265. Let y = 5 + -5.1. Let s = j - y. Is s greater than -3/5? True Suppose -n - 4*o = -13, 4*n - 6*o + 5 = -3*o. Suppose 0*b + 2*b = -2, -4*d = 5*b + n. Let l(g) = 4*g + 2. Let j be l(d). Which is greater: j or 8? 8 Suppose 0 = k - 4*k - 12. Let x be (k - 0) + 1 + 1. Let p = -2568 - -2566. Is x >= p? True Suppose -4*n = 9 + 3, -v - n = 33. Let t be (4/20)/(v/(-4)). Do 1 and t have different values? True Let h = 2/43 - -33/215. Which is smaller: 2/9 or h? h Let p be 62 + (-4)/(-16)*40. Are p and 64 unequal? True Let s(p) = p**3 + 9*p**2 + 9*p - 9. Let b be s(-7). Let c = 32 - b. Let u = 10 + -3. Which is bigger: c or u? u Let x(b) = -2*b**2 + 3*b + 7. Let l(j) = -j**2 + 2*j + 3. Let v(g) = 13*l(g) - 6*x(g). Let s be v(5). Is s at least 13? False Suppose 2*a + 0*a + 5*i = 2, 10 = -5*i. Suppose -5*p + 8 = -a*p. Is -4 >= p? True Suppose 0 = -20*h + 24*h - 12. Let t be (-1 + h + 2)*(-1)/(-4). Is -2/21 greater than or equal to t? False Let d(a) = a**3 - 8*a**2 - 2*a + 16. Let z be d(8). Which is smaller: -3/104 or z? -3/104 Let s = -2665 + 3799. Do 1134 and s have the same value? True Suppose 3*q - 6 = 2*q + 3*d, -18 = -q - 3*d. Which is smaller: q or 16? q Let u be (25/(-450)*42)/(2/6) - -13. Let r(s) = s**3 - 6*s**2 + 6*s + 6. Let x be r(5). Suppose -x = -2*l + 1. Is u at most l? True Suppose -2*p - 3*y = -10, 5*p - 3*y - 34 = 3*p. Let i = -7 + p. Suppose 4 = -i*d + 8. Are d and 0 equal? False Let s be ((-1)/(-12))/(147/(-196)). Which is smaller: -0.014 or s? s Let y = 31 + -25. Suppose 14 = -y*b - 22. Let s be ((-2)/b)/((-26)/(-12)). Which is bigger: s or -1? s Suppose -20 = 5*v - 3*q, -2*v - 3*q = -16 + 24. Which is smaller: -19 or v? -19 Let w = 43 - 29. Let t(j) = -j + 8. Let p be t(w). Let r be 20/p*(-18)/10. Which is smaller: r or 4? 4 Let m be (-5)/(-21) + 4/(-6). Let l = -16 - -14. Let p be l/10 - 6/(-30). Which is smaller: m or p? m Suppose 7*d - 3*d + 96 = 0. Let m be -2 + (-2)/3 + d/(-9). Let t = -2/467 - -1012/18213. Do m and t have the same value? False Let s(x) = x - 8. Let o be s(8). Let n = o + 4. Suppose -5*h - 5*v + 20 - 45 = 0, -2 = n*h - 2*v. Which is smaller: h or -3? -3 Let d = -249 - -250. Is 1 >= d? True Suppose -5*b + 5*c - 6*c = 10, c = 2*b + 4. Let t = -251/324 - -2/81. Which is smaller: t or b? b Let p = -240 - -247. Which is bigger: p or -20? p Suppose 5*v = 2*v + 9. Let j be (-9)/v*-3*(-3)/27. Do j and -8/11 have the same value? False Let l be 4*12/(-16) - 173/(-2). Is 85 < l? False Let a(s) = s**2 - 5*s. Let g be a(2). Let p = 10 - 6. Do p and g have the same value? False Let w be (-97)/2 - ((-221)/26 - -11). Are -45 and w nonequal? True Let l(j) be the first derivative of 5*j**2 + 48*j - 16. Let n be l(-6). Which is bigger: -25/2 or n? n Let t be (0 - 5) + 2 - -2. Let l be (-4)/2 - (-14)/(t + 8). Which is smaller: l or -3? -3 Let a = -160 - -135. Which is smaller: 2 or a? a Let p be (-8)/10*95/(-2). Let s = 22 - p. Let w = -18 - s. Which is smaller: -6/5 or w? w Let m = -0.9 + 0.8. Let c = 1269.68 - 1270. Do m and c have the same value? False Suppose -3*x - 7*p + 11 = -2*p, -6 = -2*x - 4*p. Let d = x - 19. Which is greater: -13 or d? d Let j = -429/472 + 2/59. Let m be (2/(-3))/((-6)/(-9)). Which is smaller: j or m? m Suppose -5*z = 2*p - 20, z - 35 - 1 = -2*p. Which is smaller: 6 or p? 6 Let n(w) = -w**2 - 7*w + 11. Let i be n(-8). Suppose 11 + 1 = i*h. Suppose -h = -0*s - s. Which is greater: -1 or s? s Let a = -4.29 - -0.29. Is -1/25 less than a? False Let i = 1081/4 + -270. Let b = -22 + 31. Which is greater: i or b? b Let f = 122 + -143. Is -12 equal to f? False Let y(l) = -l**2 - 5*l - 3. Let m be y(-4). Let t be (-3)/((-3)/5) + (-48)/16. Let k be ((-3)/60)/1*
{ "pile_set_name": "DM Mathematics" }
-66*u Collect the terms in -4779*l**2 - 1683*l**2 - 3050*l**2 - 1093*l**2 + 1653*l**2. -8952*l**2 Collect the terms in 5 + 91*j - 3 - 2 - 64*j**3 - 3*j. -64*j**3 + 88*j Collect the terms in 665291*i + 665114*i - 1330674*i. -269*i Collect the terms in -3*c**2 + 106 - 321 - 3*c**2 + 7*c**2 + 111 - 7*c**2 + 105. -6*c**2 + 1 Collect the terms in 329*p + 80*p**2 - 27*p**2 - 318*p. 53*p**2 + 11*p Collect the terms in -150*a**2 + 14*a**2 + 94*a**2 + 49*a**3. 49*a**3 - 42*a**2 Collect the terms in 1362*z**2 - 456*z**2 - 453*z**2 - 453*z**2 - 480*z**3. -480*z**3 Collect the terms in 402*y + 1923 - 405*y + 273 - 51 + 1864. -3*y + 4009 Collect the terms in 868077*m + 207757*m - 119973*m. 955861*m Collect the terms in -1688*z - 1710*z + 5116*z - 1719*z. -z Collect the terms in -104 - 116*h**3 - 137 + 241 - 8*h**2 + 10*h**3. -106*h**3 - 8*h**2 Collect the terms in 39*j - 1252 - 13*j - 13*j + 0*j - 11*j + 1252. 2*j Collect the terms in 23128 + 285*s - 11576 - 11555. 285*s - 3 Collect the terms in -96917192*l + 48458605*l + 48458594*l. 7*l Collect the terms in -13*z**2 + 329*z - 10*z**2 - 312*z + 23*z**2 + 25*z**3. 25*z**3 + 17*z Collect the terms in -7*f**3 - 4*f**3 + 21*f**3 + 34*f**3 + 47 - 17 - 29. 44*f**3 + 1 Collect the terms in -16*r - 23503 - 23481 + 46984. -16*r Collect the terms in 44 - 1376*l + 704*l + 772*l + 44 - 86. 100*l + 2 Collect the terms in -14*y + 397*y - 602*y - 732*y - 638*y. -1589*y Collect the terms in -7215006 - 7215012 + 3*q**3 - 7215018 + 21645036. 3*q**3 Collect the terms in -75 - 20 - 70 + 2*l + 215 - 73. 2*l - 23 Collect the terms in -192*q**3 - 542*q**3 - 356*q**3 - 313*q**3. -1403*q**3 Collect the terms in 225*o**2 + 81*o**2 - 50*o**2 - 21*o**2. 235*o**2 Collect the terms in -1473412*o + 1473412*o - 701*o**3. -701*o**3 Collect the terms in 33*q - 297 + 49*q + 885 - 290 - 298 - 115*q. -33*q Collect the terms in 2187*c**2 + 2174*c**2 + 2165*c**2 - 6572*c**2. -46*c**2 Collect the terms in -26 + 13 + 57*p - 5 + 18 + 58*p. 115*p Collect the terms in -2*u + 3*u + 541 - 44 + 549 - 155. u + 891 Collect the terms in 106647084*n**3 - 4 - 106646451*n**3 + 4. 633*n**3 Collect the terms in -114*p**2 + 4*p - 375*p**2 + 675*p**2 - 105*p**2 - 4*p - 134*p**2. -53*p**2 Collect the terms in -3*o**2 - 5*o - 11917777 - o + 11917759. -3*o**2 - 6*o - 18 Collect the terms in -37*l**3 - 78*l**2 + 17*l**3 + 151*l**2 - 68*l**2 + 65*l**3. 45*l**3 + 5*l**2 Collect the terms in 10*a**3 - 6*a**3 - 6*a**3 + 2102 - 2*a**3 - 2*a. -4*a**3 - 2*a + 2102 Collect the terms in 17945 - 1355*l**2 - 17945 - 1905*l**2. -3260*l**2 Collect the terms in 9*d + 30*d + 30*d + 26*d - 160*d + 34*d + 27*d. -4*d Collect the terms in -46786*w**2 + 15728*w**2 + 15539*w**2 + 15550*w**2. 31*w**2 Collect the terms in -2 - 8*i**2 - 4 + 2 - 68470*i + 68470*i. -8*i**2 - 4 Collect the terms in 87*i - 18*i + 27*i + 11*i. 107*i Collect the terms in -5104872 - 2*s - 2*s + 5104862. -4*s - 10 Collect the terms in 757925664271*u**3 - 757925664266*u**3 - 1 + 1. 5*u**3 Collect the terms in 95*c - 402*c + 25 + 101*c - 25 + 92*c + 109*c. -5*c Collect the terms in -805267821*k**2 + 805267821*k**2 + 5*k**3 + 14. 5*k**3 + 14 Collect the terms in 256*v + 207 - 290*v - 207 + 37*v. 3*v Collect the terms in -z - 321614 - 321613 - 321620 + 1286474 - 321623. -z + 4 Collect the terms in 27693809175*t**2 - 4*t**3 + 15*t**3 - 27693809177*t**2. 11*t**3 - 2*t**2 Collect the terms in 225*n - 22 + 22 - 121*n + 179*n. 283*n Collect the terms in 101*z - 430*z + 85*z + 74*z + 84*z + 85*z. -z Collect the terms in -237037*b - 381866*b + 90021*b - 57577*b. -586459*b Collect the terms in -3*r - 68 + 85 + 118 - 63. -3*r + 72 Collect the terms in -5386 + 1779 + 1817 + 1788 + 4*m**2. 4*m**2 - 2 Collect the terms in -78*n + 6 - 2 + 22*n + 22*n + 29*n - 1390*n**2. -1390*n**2 - 5*n + 4 Collect the terms in 281*c**2 + 266*c**2 - 154*c + 75*c + 79*c. 547*c**2 Collect the terms in 330252 + 324780 - w**3 - 655032 - w**3. -2*w**3 Collect the terms in -21*y**2 + 4 - 2*y**2 + 2 + 2 + 19*y. -23*y**2 + 19*y + 8 Collect the terms in -1484 - 1484 + 5944 - 1487 + 67*q - 1489. 67*q Collect the terms in -4821 + 19277 - 4818 + 264*x - 4822 - 4813. 264*x + 3 Collect the terms in 164540181322*s**2 - 164540181322*s**2 + 2*s**3. 2*s**3 Collect the terms in 27374*t**2 - 11641*t**2 - 13426*t**2. 2307*t**2 Collect the terms in 9677 - 4725 - 4952 - 99*v. -99*v Collect the terms in 27*k + 49*k**2 + 34*k**2 - 158*k**2 + 24*k**2 - 2*k**3 + 37*k**2 + 34*k**2. -2*k**3 + 20*k**2 + 27*k Collect the terms in -112*n**2 - 4277007857091 + 4277007857091. -112*n**2 Collect the terms in -77724311*q**2 + 38862149*q**2 + 38862153*q**2. -9*q**2 Collect the terms in 104339*v + 7315*v**3 - 104341*v - 20657*v**3. -13342*v**3 - 2*v Collect the terms in -234*c**2 - 137*c**2 - 242*c**2 - 219*c**2 + 830*c**2. -2*c**2 Collect the terms in 919*q - 4 + 15 - 3 - 7 - 1. 919*q Collect the terms in 486101 + 6*s - 4822*s**3 + 4798*s**3 - 486101. -24*s**3 + 6*s Collect the terms in 197 - 593 + 716*o + 203 + 193. 716*o Collect the terms in 208954*h**2 - 543*h + 1096*h - 553*h - 208960*h**2. -6*h**2 Collect the terms in 111525 + 0*u + 6*u + 493042 - 3*u. 3*u + 604567 Collect the terms in 878999*f**2 + 1 + 12789*f - 6393*f - 6396*f - 878995*f**2. 4*f**2 + 1 Collect the terms in -29478*b - 4076*b - 25937*b + 11843*b. -47648*b Collect the terms in -61528*f + 61528*f - 4*f**2 + 78*f**2. 74*f**2 Collect the terms in 444 - 35*f - 218 - 221. -35*f + 5 Collect the terms in 6 + 94*q - 16*q**2 + 155*q - 249*q + 27. -16*q**2 + 33 Collect the terms in 30395*r**2 + 517668*r**2 - 210223*r**2 + 883985*r**2. 1221825*r**2 Collect the terms in -23*i**3 + 5*i**2 - 12*i**3 + 30*i**2 + 39*i**3 - 7*i**2. 4*i**3 + 28*i**2 Collect the terms in 33 + 25 + 535*z**2 - 59 + 1. 535*z**2 Collect the terms in -14152*g**3 - 14152*g**3 - 14187*g**3 - 2 - 14152*g**3 + 56623*g**3. -20*g**3 - 2 Collect the terms in 208*h - 63*h**2 - 252*h + 44*h. -63*h**2 Collect the terms in 10*v**3 + 9*v**2 + 6 - 6 - 539*v**2 + 530*v**2. 10*v**3 Collect the terms in 77 + 0*l**2 + l**2 - 1690 + 275 + 686. l**2 - 652 Collect the terms in 10*t**3 + 656 - 3*t**2 + 665 - 1971 + 3*t**2 + 657. 10*t**3 + 7 Collect the terms in -1278764*l**3 + 639417*l**3 + 639354*l**3. 7*l**3 Collect the terms in -77 - 30 - 20 - 2*x - 20 - 5*x + 159. -7*x + 12 Collect the terms in 277584657*j - 8*j**2 - 277584657*j. -8*j**2 Collect the terms in -328 + 64 + 136 - 1134*f + 63 + 67. -1134*f + 2 Collect the terms in 181 + 3*l - 37 - l - 137. 2*l + 7 Collect the terms in -8*h - 64 - 108 - 137 - 3. -8*h - 312 Collect the terms in -55*g + 7612*g**3 + 14*g - 7611*g**3 + 11*g + 16*g. g**3 - 14*g Collect the terms in -23*u**2 - 112*u**2 + 117 - 10*u + 22*u**2. -113*u**2 - 10*u + 117 Collect the terms in -28365*w**2 + 2*w + 13242*w**2 - 6*w + 15108*w**2. -15*w**2 - 4*w Collect the terms in 194376704*v + 143 - 194376704*v - 143 - 47*v**2. -47*v**2 Collect the terms in -5*f**3 + 0*f**3 + 191*f + 175*f - 601*f + 235*f. -5*f**3 Collect the terms in -15*t - 3 - 25*t - 27*t + 63*t + 2 + 2. -4*t + 1 Collect the terms in -266 + 1124 + 800 - 48*m**2 + 50*m**2. 2*m**2 + 1658 Collect the terms in -2894*o**3 - 9983920289*o + 9983920289*o. -2894*o**3 Collect the terms in 1127*b**2 + 0 - 128751*b + 128751*b + 0. 1127*b**2 Collect the terms in 270*n - 22364*n - 48 + 54 + 921*n. -21173*n + 6 Collect the terms in 126*p + 142*p + 125*p + 132*p + 36 - 523*p. 2*p + 36 Collect the terms in 2*p + 2*p + 0*p - 3*p + p**2 - 24054. p**2 + p - 24054 Collect the terms in -219*n**2 + 118*n**2 - 22*n**3 + 114*n**2. -22*n**3 + 13*n**2 Collect the terms in 866 - 24*h + 243 - 541*h**2 + 539*h**2. -2*h**2 - 24*h + 1109 Collect the terms in -3 - 1337*i + 4843*i - 1757*i + 3 - 1750*i. -i Collect the terms in 63*z**3 + 5*z**2 - 7*z**3 - 15*z**3 - 23*z**3 - 7*z**3 - 15*z**3. -4*z**3 + 5*z**2 Collect the terms in -12*d - 177*d**2 + 89 - 92 + 172*d**2. -5*d**2 - 12*d - 3 Collect the terms in 181731*l + 181514*l - 368370*l. -5125*l Collect the terms in 1490598 + 8*o - 25628 - 9*o. -o + 1464970 Collect the terms in 77783953*c - 155558341*c + 77774386*c. -2*c Collect the terms in 92 - 92 - 44038*r**3. -44038*r**3 Collect the terms in 9*o**2 + 2112 - 3984 + 1873. 9*o**2 + 1 Collect the terms in 35 + 6 + 24
{ "pile_set_name": "DM Mathematics" }
-3 Let h(x) = 24*x**3 - 4*x**2 + 28*x - 26. Let w be h(1). Solve -21*t - 3 = -w*t for t. 3 Let o be 8/18*(-243)/(-54) - (3 + -1). Let r be (24 + 3)*(-2)/(-6). Solve -x + 4*x - r = o for x. 3 Suppose 198 = 108*z + 19*z - 28*z. Suppose 3*m = 5 + 13. Let s(i) = 3*i**2 + i. Let d be s(1). Solve d*v - z*v = -m for v. -3 Suppose 0 = 121*s - 167*s + 7360. Let n = -157 + s. Let o = 1 + -1. Solve 0*i - n*i + 15 = o for i. 5 Suppose 0 = -4*w - 3*h + 63, -5*h + 26 = 4*w - 39. Solve -13*p + 6 = -w*p for p. -3 Let s(v) = v**2 + 73*v - 2200. Let d be s(-96). Solve -8*m - 16 = d for m. -3 Let z = -4420 + 5165. Solve 11*d - 657 + z = 0 for d. -8 Let x(h) = h**3 - h**2 - 35*h - 51. Let f be x(-2). Solve 144 = 31*u - f*u for u. 6 Let c = -3215 + 3253. Solve -8*u - c - 18 = 0 for u. -7 Let u be (121/5)/((-27)/(-135)). Suppose u*q = 111*q. Solve q = -4*y - 5*y - 0*y for y. 0 Let v = 337 - 307. Suppose 52*w = 58*w - v. Solve w*s - 2*s = 0 for s. 0 Suppose 3111 = 55*o - 38*o. Suppose 0 = 48*k - o - 537. Solve -15*f - k = -10*f for f. -3 Suppose 6*d = 48 + 42. Suppose -9*r = d - 69. Solve 0 = 2*n - r*n for n. 0 Let o = 43 + -46. Let a be 0/1 - 1/(o/9). Suppose -a*k - 5*c + 19 = 0, -k + 0*c = 3*c - 9. Solve 0 = -k*b - 1 - 2 for b. -1 Suppose 1434 - 902 = j + 2*m, 5*m = -j + 526. Solve -533*t = -j*t - 24 for t. -8 Suppose -49*m = -46*m. Suppose -2*k - 2 + 4 = m. Solve 0 = 2*j - 3 - k for j. 2 Let q be (4/(-14) - 3/(189/(-2097))) + -1. Solve -q*r = -15*r + 119 for r. -7 Let s = 8428 + -8420. Suppose 2*a = -y - 4, -5*y - a = -6*y + 5. Solve -s = -y*f - 16 for f. -4 Suppose 0 = 3*y - v - 1, 8 = -13*y + 15*y + 3*v. Let j be 155/55 + y - (-10)/55. Solve -11 + 3 = -j*q for q. 2 Let y be (-7 - (-1 + -17)) + -21. Let p(j) = j**3 + 2*j**2 + 3*j. Let o be p(-2). Let i be o + 192/30 + (-196)/y. Solve -2*z + i = 3*z for z. 4 Let k(q) = q**3 - 32*q**2 + 247*q + 5. Let x be k(19). Solve 115 = x*p + 95 for p. 4 Let g(b) = -b**3 + 27*b**2 - 13*b - 321. Let y be g(26). Solve -y*z + 1103 = 1137 for z. -2 Let h be 0*((-9)/(-6) + -2). Suppose 17 = 5*k - 3*j + 7, k = 2*j + 9. Let l be k - (-3)/6*10. Solve l*t + 16 + h = 0 for t. -4 Suppose -20481 = -298*m - 2005. Solve m*g = 57*g - 20 for g. -4 Suppose -4*a - 185 = -4*d + 39, 2*d = -3*a + 117. Let u = d - 46. Solve 0 = -9*m + u*m for m. 0 Let v(w) = -2*w**2 - 14*w - 7. Let p be v(-7). Let b be 1 + (-4)/(-2) - (p - -4). Suppose 10*a = 7*a + b. Solve a = u - 0 for u. 2 Let j = -25025 + 25025. Solve -49*z + 66*z + 68 = j for z. -4 Let b be 18/(-4)*(-8)/3. Let f be (1/(50/60))/(6/40). Suppose 5*w = 3*w + f. Solve w*d = -32 + b for d. -5 Suppose -3*p + 12 = 0, 67*o - 62*o - 71 = p. Solve 302*d + o = 299*d for d. -5 Suppose 4*d + 15 = -3*x + 2, -8 = d - 4*x. Let y be (2 - 2)*(6 - (-26)/d). Solve 5*a - a + 4 = y for a. -1 Let i(k) = 41*k + 52. Let a(q) = 27*q + 35. Let l(v) = -8*a(v) + 5*i(v). Let d be l(6). Let r = -83 - d. Solve r*p + 10 - 1 = 0 for p. -3 Let k(i) = 2*i**3 + 2*i**2 - 5*i. Let q be k(4). Let a = 146 - q. Solve -a*t = -0*t + 18 for t. -3 Let s(m) = 14*m - 1. Let i be s(2). Let u = i - 17. Let l = 4 + u. Solve 0 = 5*w + l + 6 for w. -4 Let k(z) = 7*z**2 + 21*z + 60. Let h(s) = -16*s**2 - 42*s - 121. Let b(p) = 3*h(p) + 7*k(p). Let n be b(-18). Solve 21 + n = 6*u for u. 4 Let o(x) = x**3 + 9*x**2 + 3. Let m be o(-9). Suppose 4 + 8 = m*v. Suppose -15 = 9*f - 51. Solve 0 = -f*g + 3*g - v for g. -4 Suppose -3*h = 4*o - 303, 0 = 2*h - 5*o - 297 + 72. Suppose -119 = t - 14. Let p = h + t. Solve -5*x = -p*x for x. 0 Let d = -10615 + 10750. Solve -139*q - 12 = -d*q for q. -3 Let j be (-3970)/(-100) + 24/80. Solve j*b = 48*b - 8 for b. 1 Let a(s) = s**3 + 6*s**2 - 2*s**2 - 9 - 5*s**3 + 3*s**3. Let n be a(3). Solve n = -3*b - 3 for b. -1 Let j(k) = -3*k - 90. Let i be j(-30). Suppose i = -5*y + 47 - 7. Solve 3*o - y*o = 25 for o. -5 Let x be (2 + -4)/((-34)/289). Solve x = -4*t + 5 for t. -3 Suppose -130*b - 4256 = -19206. Solve -b*h - 90 = -100*h for h. -6 Let z = -176 + 274. Let n = -95 + z. Solve 8 = -5*g + n*g for g. -4 Suppose 5*k - 5 = 0, -5*w - k = -2302 + 786. Solve 78*c - 9 - w = 0 for c. 4 Let w be (2/7)/(-9*2/(-126)). Let a be ((-1)/w)/(-8 + (-632)/(-80)). Solve -v - a = -1 for v. -4 Let q(f) = 2*f**3 - 125*f + 244. Let g be q(2). Let j = -5 - -8. Solve j*v + g = -2*v for v. -2 Let p(x) = -11*x - 164. Let j(f) = 23*f + 328. Let a(g) = 3*j(g) + 7*p(g). Let h be a(-21). Solve h*i + 14 = -2 for i. -4 Let b(w) = -10*w + 4. Let g be b(-3). Let h = -56 + 27. Let o = g + h. Solve -7*a = -o*a for a. 0 Let w be 11/2 - 9/18. Let u(g) = g**2 - 93*g + 1175. Let t be u(78). Solve t*r = 4*r - w for r. -5 Suppose -48 = 2*x - 6*x + 3*z, -5*x - 3*z + 60 = 0. Suppose -32 = -4*q - x. Solve 0 = q*w - 3 + 23 for w. -4 Suppose 1954*c = 1967*c - 78. Solve -16 = -2*f - c*f for f. 2 Let q(o) = 213*o - 1228. Let i be q(6). Solve -i = 5*p - 25 for p. -5 Let d(v) = v - 11 - 4*v - v. Let i be d(-5). Suppose -5*g = 5*x - x - 17, 0 = 2*x + 3*g - i. Solve 9 = -3*h - x for h. -4 Suppose -97 = -6*o + 149. Suppose 2*d + o - 47 = 0. Solve -d*q + 16 = -7*q for q. -4 Let n = 53 - 28. Let p = -18 + n. Let m be (p + -2)*3/15*2. Solve -2 - 6 = -m*i for i. 4 Let r = 13872 - 13858. Solve -r*p = 16 - 2 for p. -1 Suppose -455*m - 360 = -500*m. Let g be (-14)/(-6) - 10/30. Solve -m*u - 6 = g for u. -1 Let h = -6310 + 6324. Solve 39*c = h*c + 25 for c. 1 Let v = -1992 - -1997. Solve -13*a + v = -12*a for a. 5 Let a(g) = -2*g**3 - 2*g**2 - 77*g + 12. Let i be a(0). Solve -i*c + 4 = -20 for c. 2 Let k(d) = 7*d**2 - 7*d - 28. Let p(q) = -q**2 + q + 3. Let o(s) = -k(s) - 6*p(s). Let g be o(-2). Solve 11*x - 7*x = g for x. 1 Let o(p) = -p**3 + 24*p**2 - p + 26. Let m be o(24). Suppose u + m*h = -0*h + 23, u - 3*h - 13 = 0. Solve i - 15 = -u for i. -4 Suppose -3*c = -38*r + 35*r - 120, 8*r - 94 = -c. Solve -13*o = -7 + c for o. -3 Suppose 587 = 13*a + 132. Let j = a - 28. Solve -j*h = -5*h + 4 for h. -2 Suppose -860 = -3*i + 2*u - 798, -7 = u. Let z = 16 + -24. Let f = z - -12. Solve f*h - i = -0*h for h. 4 Suppose 2*w = 7*w + 5*z + 60, 5*w + 4*z = -63. Let m be (3/2)/((-1)/(-14)). Let n = w + m. Solve -n*o = -o for o. 0 Let w(a) = -a**2 - 20*a - 24. Let r be w(-18). Let f = r + -10. Let v = 489 - 487. Solve p = f + v for p. 4 Let z be ((-9)/(-2))/((2/28)/(80/280)). Solve -4*x + z = 30 for x. -3 Suppose 47*g + 555 = 158*g. Solve -g*c = -5*c - c for c. 0 Let a(r) = -3*r**3 + 37*r**2 - 2*r - 119. Let f be a(12). Solve 6*l + f = 7 for l. 1 Suppose 34*s = -45*s. Solve s = 4*y + 55 - 67 for y. 3 Let k be 3/(2*(-3)/(-6)). Let z be 14/(-77)*22 - (0 - 9). Solve k = -z*j + 13 for j. 2 Let c(h) = -h + 9. Let v be ((2 - -1) + -6)/(-3). Let f be (-1)/((-4*v)/28) + 0. Let q be c(f). Solve 1 - 3 = q*m for m. -1 Let d(m) = -3*m**2 + 70*m + 51. Let f be d(24). Solve f*a = -4*a for a. 0 Let u be (-121)/3*(18/(-2) - -6). Solve -63 = 23*b + u for b. -8 Let i(f) = f**3 + 6*f**2 - 45*f - 247. Let w be i(-6). Solve 0 = 4*j + 47 - w for j. -6 Let u(n) = n**3 + 3*n**2 - n - 3. Let d = -78 + 75. Let a be u(d). Let g = -74 + 75. Solve -j - g = -a*j for j. -1 Suppose 41 = 2*a - 5*m, 20 = 2*a + 3*a + 4*m. Let j = a + 6. Suppose 6*b + 2*b = 32. Solve -b*v - j = -2 for v. -3 Suppose -6*t + 102 = -96. Suppose 3*u = 168 - t. Suppose -4*l - 5*a = -18, l + u = 6*l - 5*a. Solve -4 = 8*g - l*g for g. -4 Let v = 14 - 5. Suppose 0 = -8*z + 7*z + 7. Let s = 442 + -438. Solve 0 = -s*w - z - v for w. -4 Suppose 0 = -4*b + 5*v - 3*v + 6, v = -5*b + 11. Let q be (8 - b)/(12/8). Let x be 9*(-15)/(-270)*12. Solve -x = q*g + 2 for g. -2 Suppose -3*v - 18*v + 42 = 0. Suppose -6 = 2*i + 5*q - 3*q, -15 = v*i + 5*q. Solve i = -2*t - 24 + 14 for t. -5 Let n be (-10 + 12)/4 + -30*6/(-24). Solve -n*b = -65*b + 456 for b. 8 Let a(o) = -o**3 + 136*o**2 + 421*o - 397. Let f be a(139). Solve -163*j + f*j = 32 for j. -8 Let a = 3434 + -2973. Solve -8*p = -a + 413 for p. 6 Let d = -293 + 297. Let z be ((-140)/d)/(-7) - 1. Solve -5*f - 1 = -z*f for f. -1 Let d be (((-875)/(-200))/(6/16))/(1/3). Solve 46 + 59 = -d*y for y. -3 Let j be ((-12)/20)/(3/45). Let r be (-1 + -2)/j*3. Let s(h) = h**3 - 12*h**2 - 11*h - 24. Let f be s(13). Solve -f*w + r = -1 for w. 1 Let z(l) = -l**3 - 10*l**2 + 6*l - 2. Let v be z(2). Let p = 43 + v. Solve 1
{ "pile_set_name": "DM Mathematics" }
ative of g(h) wrt h? -4*h What is the second derivative of -9*i**5 + 6*i - 25 + 25 wrt i? -180*i**3 Let s(m) = -m + 5. Let j be s(3). Let t(w) = 4*w**2 - 2*w - 5. Let q(a) = -a. Let u(n) = j*q(n) - t(n). Differentiate u(y) with respect to y. -8*y Let d(r) = r**4 - r**3 - r. Let p(h) = -7*h**5 + 2*h**4 - 2*h**3 + 6*h**2 - 2*h. Let u(z) = -4*d(z) + 2*p(z). Find the third derivative of u(q) wrt q. -840*q**2 Let u(s) be the first derivative of -31*s**5/5 - 19*s**2/2 + 28. Find the second derivative of u(h) wrt h. -372*h**2 Let n(r) be the first derivative of 10*r**3/3 + 8*r + 11. What is the derivative of n(s) wrt s? 20*s Let a be 2/4*(-1 - -11). Suppose 0 = a*d - 5*i - 35, -4*d - i - 3 = -3*d. Find the third derivative of 3*w**2 - 3*w**5 - 4*w**2 - 2*w**d wrt w. -180*w**2 Let n be ((-8)/5)/(4/(-10)). Find the third derivative of -f**6 + 2*f**6 + n*f**2 + f**6 wrt f. 240*f**3 Let p(u) = 4*u**3 - 6*u + 4. Let c(i) = 5*i**3 - 5*i + 4. Let q(v) = -5*c(v) + 4*p(v). Differentiate q(l) wrt l. -27*l**2 + 1 Let j(p) be the first derivative of p**5/30 + p**3/2 + 3*p**2 + 1. Let y(s) be the second derivative of j(s). What is the first derivative of y(i) wrt i? 4*i Let o(u) = -22*u**4 - 3*u**3 - 3*u**2. Let i(w) = -44*w**4 - 7*w**3 - 7*w**2 + w. Let g(y) = 3*i(y) - 7*o(y). Find the second derivative of g(f) wrt f. 264*f**2 What is the derivative of 2*p**3 + 11*p**3 + 11 - 20*p**3 + 11*p**3 wrt p? 12*p**2 Let y = -16 - -10. Let l = y + 8. Differentiate -n**l - 2 + n**2 + n**2 with respect to n. 2*n Let g(a) = 2*a**3 - 6*a**2 - 3*a - 6. Let p(o) = 3*o**3 - 7*o**2 - 3*o - 7. Let w(x) = -7*g(x) + 6*p(x). Find the second derivative of w(b) wrt b. 24*b Find the third derivative of 5*r**2 + r**2 + r**6 - 2*r**6 wrt r. -120*r**3 Let o(d) = d**2 - 7*d + 8. Let b be o(7). Suppose 0 = 3*j + 2 - b. Find the third derivative of -f**5 + 0*f**5 + f**2 + j*f**2 wrt f. -60*f**2 Suppose v - 2*v + g = 0, -16 = -2*v - 2*g. Find the third derivative of -3*j**4 + 2*j**2 + 3*j**2 + 0*j**v wrt j. -72*j Suppose 5*g - 10 = 3*g. Find the third derivative of -6*y**g + 7*y**5 + 0*y**2 - 7*y**2 wrt y. 60*y**2 Let x(b) be the second derivative of b**6/6 + b**4/3 - 6*b. Find the third derivative of x(i) wrt i. 120*i What is the second derivative of 12*f + 11*f**3 + 2*f + 2*f**3 wrt f? 78*f Let v(d) be the second derivative of -1/3*d**3 + 0 + 1/4*d**4 + 3*d + 0*d**2. What is the second derivative of v(r) wrt r? 6 Let t(m) be the second derivative of 11*m**5/20 - 7*m**2 + 30*m. Differentiate t(k) with respect to k. 33*k**2 Let c(v) = v**2 + 6*v + 2. Let w be c(-6). Find the third derivative of 3*o**2 - 5*o**5 + 8*o**5 + 0*o**w wrt o. 180*o**2 Let x(i) be the third derivative of -i**5/120 + i**4/3 + 2*i**3/3 + 3*i**2. Let u(h) be the first derivative of x(h). What is the derivative of u(r) wrt r? -1 Suppose -10 = 2*m - 4*m, -3*f = -2*m + 1. What is the third derivative of 3*w**6 - w**2 + f*w**6 - 3*w**6 wrt w? 360*w**3 Let o(z) = -z**3 + 5*z**2 + z - 3. Let l be o(5). What is the third derivative of -3 - 3*y**l + 3 + 0*y**2 + 3*y**4 wrt y? 72*y Let z(p) = 5*p**4 + 2*p**3 + 2*p - 1. Let c(s) = -81*s**4 - 33*s**3 - 33*s + 15. Let q(k) = -6*c(k) - 99*z(k). Differentiate q(v) with respect to v. -36*v**3 Let n = -6 - -9. Suppose 5*l + 25 = 5*w, -3*w + 2*l = -12 - n. Find the third derivative of 3*t + 2*t**w - 3*t + t**2 + 2*t**2 wrt t. 120*t**2 Let o = 31 + 9. Suppose -26 = -3*q + q - 4*d, o = 5*q + 5*d. What is the first derivative of 2*i + 3*i + q*i - 5*i - 3 wrt i? 3 Let z = 9 + -7. What is the second derivative of z*o**3 + 4*o + 3*o - 2*o - o wrt o? 12*o What is the first derivative of 5*y**2 + 18*y**4 + 5*y**2 - 47 - 10*y**2 wrt y? 72*y**3 Let c(w) = -15*w**2 + 9*w + 9. Let b(g) = -1. Let k(q) = -9*b(q) - c(q). What is the second derivative of k(u) wrt u? 30 Suppose -2*s = -4*x + 2*x - 2, 5*x - 9 = -2*s. What is the first derivative of -s + 6*p + 0*p - 6*p - 3*p**3 wrt p? -9*p**2 Let h be 342/66 + (-2)/11. Let r = 6 - h. Find the third derivative of 0*w**3 + 1 - 3*w**3 + 3*w**2 - r wrt w. -18 Let n(z) be the third derivative of -z**8/560 - z**6/360 - z**3/3 - 2*z**2. Let w(l) be the first derivative of n(l). Find the third derivative of w(x) wrt x. -72*x Let k be (-22)/(-10) - 3/15. What is the third derivative of 2*q**2 - 3*q**2 - q**2 + k*q**6 wrt q? 240*q**3 Let h(f) be the first derivative of -f**6/120 + f**4/24 + 4*f**3/3 - 4. Let g(q) be the third derivative of h(q). Differentiate g(l) with respect to l. -6*l Let s be (-2)/((-9)/(-10) - 1). Let v be s/6 - 10/(-15). What is the second derivative of -2*m - 2*m**4 - m**v + 2*m**4 wrt m? -12*m**2 Let v(d) = d**2 + 6. Let u be 4/(-12) - (-5)/(-3). Let j(f) = -2 - 3 + 4. Let a(y) = u*v(y) - 10*j(y). What is the derivative of a(m) wrt m? -4*m Find the third derivative of 8*n**2 - 10*n**6 - 11*n**2 + 9*n**2 wrt n. -1200*n**3 Let c(f) = -20*f**2 - 26*f - 4. Let w(m) = m**2 - m - 1. Let a(b) = c(b) - 4*w(b). What is the second derivative of a(s) wrt s? -48 Let r(l) = l**3 + 4*l**2 + 2*l - 2. Let b be r(-2). Let d(c) be the second derivative of 0 + 1/6*c**3 - c**b - c. What is the derivative of d(y) wrt y? 1 Let z(q) = 11*q**2 + 2*q + 1. Let r be z(-1). Suppose r + 10 = 5*i. What is the third derivative of 3*v**4 + 5*v**4 - v**i - 4*v**4 - 3*v**2 wrt v? 72*v What is the third derivative of 0*p**5 + 2*p**2 - 3*p**2 - 12*p**5 wrt p? -720*p**2 Let h(w) = -w + 2. Let z be h(2). Suppose -5*r = -z*r - 10. What is the derivative of 2 + r*l**2 - 4*l**2 - 1 wrt l? -4*l Let q = 6 - 6. Let u(h) be the first derivative of h**2 + 2 + q*h - 2/3*h**3. What is the second derivative of u(y) wrt y? -4 Let x(s) = 3*s**3 - 3*s + 1. Let p(m) = -m**4 - m**3 + m - 1. Let u(j) = 3*p(j) + x(j). Differentiate u(y) with respect to y. -12*y**3 What is the third derivative of -10*b + 18*b**4 + 2*b**2 + 10*b - 4*b**4 wrt b? 336*b Suppose 5*a = a + 8. Let y = 4 + -2. What is the third derivative of -3*b**2 + y*b**3 - 2 + a wrt b? 12 Let x(v) be the first derivative of -47*v**2/2 + 60*v + 60. Differentiate x(y) with respect to y. -47 Find the first derivative of 6 + 2 + 4*h + 4 wrt h. 4 Let i(t) = t**2 - 2*t - 1. Let f be i(3). What is the third derivative of -3*u - u - 8*u**3 - 2*u**f + 4*u wrt u? -48 Let p = 21 - 39. Let j be ((-3)/9)/(3/p). Find the third derivative of 5*y**j + y**3 - 5*y**2 - y**2 wrt y. 6 Suppose 0 = 4*f - 3*k - 14, -3*f + 2*k + 6 = -2*f. Suppose 7*x = f*x + 10. What is the third derivative of x*s**3 - 1 + s**2 + 1 wrt s? 12 Let p(g) be the third derivative of g**4/24 - 31*g**3/6 + 13*g**2. What is the derivative of p(z) wrt z? 1 Let p = 9 + -5. What is the third derivative of 17*d**4 + d**2 - 32*d**p + 9*d**5 + 15*d**4 wrt d? 540*d**2 Let z(t) be the second derivative of 47*t**4/12 - 4*t**3/3 + 43*t. Find the second derivative of z(l) wrt l. 94 Suppose 6 = -4*l + 18, 4*v - 2*l - 2 = 0. What is the second derivative of v*a**2 - 4*a**2 - a - 2*a**2 + 4*a wrt a? -8 Let h(a) be the first derivative of 9*a**4/2 - 17*a**3/3 + 7. Find the third derivative of h(u) wrt u. 108 Let a(h) = 55*h**3 - 31*h**2 + 8*h. Let k(t) = 37*t**3 - 21*t**2 + 5*t. Let v(z) = 5*a(z) - 8*k(z). What is the third derivative of v(g) wrt g? -126 Let v be (-29)/(-6) - (-2)/12. Let b = v + -3. Find the first derivative of 2*n - n**2 + 1 - b*n + 3*n**2 wrt n. 4*n Let b(s) = s + 1. Let i(y) = -1. Suppose -3*u - 1 = -d, -2*u - 4 + 12 = -5*d. Let c(f) = d*b(f) - 3*i(f). Differentiate c(x) wrt x. -2 Let z = 11 + -8. Find the third derivative of g**2 - 3*g**3 - 2*g**3 + 2*g**z wrt g. -18 Let d be ((-4)/(-16))/((-3)/(-24)). What is the derivative of 2*v**2 - 6 - 9*v**d + 0 wrt v? -14*v Let o(r) = r**4 + r**3 - r**2 + r - 1. Let k(b) = -84*b**4 - 63*b**3 + 63*b**2 - 63*b + 42. Let f(c) = -k(c) - 63*o(c). Differentiate f(t) wrt t. 84*t**3 Let j(z) be the second derivative of -1/20*z**5 + 0*z**4 + 0 + 0*z**3 + 2*z - 3/2*z**2. Find the first derivative of j(y) wrt y. -3*y**2 Let t(x) be the second derivative of x**7/42 + 4*x**3/3 - x**2/2 + 6*x. Let u(y) be the first derivative of t(y). Find the first derivative of u(r) wrt r. 20*r**3 Let a(g) = g**2 + 4*g - 2*g - 6*g. Let p(r) = -2*r**2 + 4*r. Let h(u) = -3*a(u) - 2*p(u). What is the second derivative of h(c) wrt c? 2 What is the third derivativ
{ "pile_set_name": "DM Mathematics" }
5*u + 1 + o, 3*k - 3*u = 60. What is the tens digit of k? 1 Let q = 741 + -389. What is the units digit of q? 2 Suppose -2*t + 382 = -3*r, 5*t - 3*r = 2*r + 960. What is the units digit of t/6 - 16/(-24)? 3 Suppose 0 = r - 4*r - 45. Suppose -9 - 3 = 4*d. What is the units digit of (-8)/d - (-10)/r? 2 Suppose -10 = 3*s + 2*s + 5*n, -6 = 5*s + n. Let v be 6 + (-1 - 1 - s). Suppose -v*z + 45 = i, 4*z - 45 = i - 0*i. What is the tens digit of z? 1 Suppose 0 = -5*y - 3*q + 22, -6*q = -4*y - 4*q. Suppose 4*h - 239 = 5*w, 3*h - 95 = -y*w + 67. Let z = -35 + h. What is the tens digit of z? 2 Let b(u) = 2*u**3 - 8*u**2 + 6*u + 3. Let j be b(7). Suppose -2*t = 55 - j. Suppose -g - 5*s + 250 = 4*g, 5*s + t = 3*g. What is the tens digit of g? 4 Suppose 184 = -4*i + 3*n, -2*i - 106 = 2*n - 0*n. Suppose -340 = -5*d - 5*y, -4*d + 312 - 43 = 5*y. Let t = d + i. What is the units digit of t? 2 Let g = 27 - 21. Let p(i) = 3*i + 4. What is the tens digit of p(g)? 2 Suppose -8*k = 2*k - 6640. What is the hundreds digit of k? 6 Let w(m) = -m**3 - 25*m**2 - 57*m - 129. What is the thousands digit of w(-26)? 2 Let r be 3/(-5) + 216/(-15). Let f be (-5)/r + (-2)/6. Suppose f = -u - u + 40. What is the units digit of u? 0 Let v = 12 - 12. Let q(n) = n**2 + 3*n + 124. What is the hundreds digit of q(v)? 1 Let o = 615 - -14. What is the hundreds digit of o? 6 What is the tens digit of (-4)/(-7) + (-20052)/(-42)? 7 Let b = -10 - -12. Let d be 2/(b/5) + 1. What is the units digit of (-248)/12*(-9)/d? 1 Let v(k) be the third derivative of -1/24*k**4 + 4/3*k**3 + 0*k - 6*k**2 + 0. What is the tens digit of v(-5)? 1 What is the tens digit of ((-1)/(-4))/(15/120) - -620? 2 Let b = -5 + 18. Let c be (13 - b)*(-2)/(-4). Suppose 3*k - 108 + 27 = c. What is the units digit of k? 7 Let s be (-2)/(-5) + 796/10. Let d(h) = -h**3 + 11*h**2 + 29*h - 37. Let b be d(13). What is the units digit of (3/b)/(6/s)? 0 Let v = 228 + -169. What is the tens digit of v? 5 Let d = -5 + 7. Suppose 0 = -3*s + 4*z + 50, -3*s - 5*z = -6*s + 55. Suppose s = -d*l, -3*r - 4*l + 5 = -20. What is the units digit of r? 5 Let t(l) be the first derivative of 2*l**3/3 - 5*l**2 + 7*l - 3. Let d be t(5). Suppose d - 25 = -2*m. What is the units digit of m? 9 Let h = 6 + -195. Let s = h + 16. Let d = -104 - s. What is the units digit of d? 9 Suppose 7*v = 2*v + 20. Suppose 2*s + 144 = v*s. What is the units digit of s? 2 Let y(o) = 54*o**2 - 4*o + 58. What is the thousands digit of y(8)? 3 Let t = 808 + -467. What is the hundreds digit of t? 3 Let o = -16 + 16. Suppose -5*g = 4*b - 336, o*b + 2*b + g = 168. Suppose -7*w + 3*w + b = 0. What is the tens digit of w? 2 Let n = 62 - 60. Suppose -q + n*l + 217 = 0, -q + 5*l + 154 = -78. What is the tens digit of q? 0 Let p = 21 + -13. Suppose -p*m + 3*m + 282 = x, 3*x = 4*m - 218. Let u = m - 33. What is the tens digit of u? 2 Let s(p) = 8*p - 21. Let q be (-68)/(-11) - 4/22. What is the units digit of s(q)? 7 Suppose 0*t = t - 2*l - 11, 4*l = 4*t - 24. Let q(c) = -11*c + 6. Let f(m) = -12*m + 7. Let b(i) = 5*f(i) - 6*q(i). What is the units digit of b(t)? 5 Suppose 0 = 4*j - 314 - 38. What is the tens digit of j? 8 Let s(v) = 2069*v - 79. What is the hundreds digit of s(2)? 0 Let q be 36/((-36)/(-6)) + 1 + 5. Let f be 5/(1/1)*18. Suppose 3*j + 4*a - f = -q, -4*a - 42 = -j. What is the tens digit of j? 3 Let d = -53 - -53. What is the tens digit of (d + 102)*(-8)/(-16)? 5 Let j(n) = -n**2 + n + 1. Let h be j(0). Let k(c) = 3*c + 1. Let t be k(h). Suppose x = t*q + 29, 97 = -2*x + 7*x + 4*q. What is the units digit of x? 1 Suppose 23 = 2*z + 17. Suppose -2*l - 1 = -z*l. What is the units digit of l? 1 Suppose -2*a - 8 = -q, -5*a = -2*q - 0*a + 18. Suppose -3*i - q*i + 511 = 0. What is the units digit of i? 3 Suppose -3*a + 72 = -7*a. Let t = -25 - a. Let b = 61 + t. What is the tens digit of b? 5 Let u be 3/12 - 1/4. Suppose u = 5*l - 3 - 7. Suppose -z - l = 2*j - 3, 4*j - 2*z = 22. What is the units digit of j? 3 Suppose -22*t + 18*t = -2340. What is the units digit of t? 5 Suppose -6*r - 4 + 10 = 0. What is the units digit of r/4 + ((-765)/(-12))/1? 4 Suppose 1 + 9 = -f. Let z(h) = -5*h - 12*h + 0*h**2 + 4*h - 2 - h**2. What is the units digit of z(f)? 8 Suppose -4*m = -5*x - 592, 5*m - 4*x - 223 - 517 = 0. What is the tens digit of m? 4 Let k = 3387 - 1953. What is the thousands digit of k? 1 Suppose 5*z - 2*z = -6. Suppose -95 = -d - 4*d. Let m = d + z. What is the units digit of m? 7 Suppose 66*o = 85*o - 17993. What is the tens digit of o? 4 Let j(w) = 14*w**2 - 6*w + 35. Let y(r) = 5*r**2 - 2*r + 12. Let t(v) = 6*j(v) - 17*y(v). Let b be t(-5). What is the tens digit of b/((-4)/(224/12))? 4 Let n(m) = -280*m - 1077. What is the units digit of n(-17)? 3 Let q be 80/280 + 2/(28/(-46)). What is the tens digit of (-858)/(-8) - (36/16)/q? 0 Let n(q) = q**2 + 3*q. Let i be n(-3). Suppose -13*m + 11*m + 20 = i. What is the tens digit of m? 1 Let x be (-4)/((-44)/13) - 6/33. What is the tens digit of x/(275/(-92) + 3)? 9 Suppose 3*n - 274 - 56 = 0. Let s = n + -102. What is the units digit of s? 8 Let j(y) = -8*y - 33. Let f be j(-9). Let p = f - -40. What is the units digit of p? 9 Let p(i) = i**3 - 4*i**2 + 2*i - 18. Let d = -3 + 9. What is the units digit of p(d)? 6 Suppose w - 949 = 225. What is the units digit of w? 4 Suppose -u - y = -2*u - 2, 5*u + 2 = 3*y. Let s be (2 + -2)*1/u. Suppose s = 3*m - 1 - 83. What is the units digit of m? 8 Suppose -4*n + 1125 = 3*z - 7*n, 369 = z + 5*n. What is the hundreds digit of z? 3 Let z(c) = -c**3 + 9*c**2 + 3. Let h(j) = 7*j - 5. Let d be h(2). Let y be z(d). Let u(r) = 7*r + 3. What is the tens digit of u(y)? 2 Let l = 6 + -3. Suppose -4*i + 2 = -p - p, -p + 2 = -i. Suppose -l*u - 2 = b, 7 = b - i*u - 21. What is the tens digit of b? 1 Let w(r) be the second derivative of -14*r**3/3 + 43*r**2/2 + 16*r. What is the tens digit of w(-10)? 2 Let s(g) = -g**3 - g**2 + g - 2. Suppose -h = -1, 4*n + 2*h - 1 = 1. Let t be s(n). What is the units digit of t/10 - (-1771)/55? 2 Let d = 2 - -5. Suppose 5*u - d - 3 = 0. Suppose 16 = u*h + 2*o, 0 = h - 3*o + 5*o - 12. What is the units digit of h? 4 What is the hundreds digit of 33/((-1205)/(-170) - 7)? 3 Let d be (-454)/8 - (11/(-4))/(-11). Let o = d + 140. What is the tens digit of o? 8 Let l(h) = 68*h - 17. Let k(z) = 23*z - 6. Let t(c) = -10*c + 1. Let p be t(-1). Let x(o) = p*k(o) - 4*l(o). What is the tens digit of x(-1)? 2 Suppose 0 = -178*v + 181*v - 2139. What is the tens digit of v? 1 Suppose 5*b + z = -15, 4*b - z = 4 - 16. Let t(u) = -u**3 - u**2 + 2*u - 4. Let f be t(b). Let w(y) = y**3 - 7*y**2 - 4*y - 8. What is the tens digit of w(f)? 2 Let v be (2/(-4))/(13/(-806)). Let f = v - 34. What is the units digit of 2 - (9/f - 3)? 8 Let n = -1930 + 3406. What is the hundreds digit of n? 4 Let b(q) = 8*q**2 - 31*q - 402. What is the hundreds digit of b(-12)? 1 Suppose -38*y - 1 = -39*y, -5*y = 5*r - 2265. What is the tens digit of r? 5 Let a be (-2)/(-9) + -1*(-4)/(-18). Suppose -5*c + 0*c + 1530 = a. What is the tens digit of c? 0 Let w(l) = -78*l - 3. Let f be w(-2). Let c(n) = 3*n**2 + 16*n + 22. Let z be c(-8). Let v = f - z. What is the units digit of v? 7 Suppose 0 = -3*l + 585 - 168. Suppose -2*y - 5*t = -l, 0*t - 2*t + 72 = y. What is the tens digit of y? 8 Let n = -9 + 2. Let g be (0/(-2))/(n - -9). Suppose g = -4*k + d + 108, k - 42 = -2*d - 6. What is the units digit of k? 8 Let v(z) = 12*z**2 + 2. Let n = -1 - 2. What is the hundreds digit of v(n)? 1 Let k be 6/((-288)/(-11478)) - (-2)/(-16). Suppose -5 - 5 = -2*g, -2*c + 3*g + k = 0. What is the units digit of c? 7 Let s be (-1 + (-1)/(-2))*0/(-2). Let c = -8 - -12. Suppose s = c*u + 7 - 31. What is the units digit of u? 6 Let s(b) = 3*b - 3. Let o be s(0). Let m be 6/(o + 4 - -1). Suppose -m*r + 22 = x, 0*x - 51 = -2*x + r. What is the tens digit of x? 2 What is the tens digit of (-708)/(30/(-5)) - 6? 1 Let m be (9/(-21))/((-4)/28). Suppose m*b + q = -3*q + 95, 2*q + 65 = 3*b. Suppose 26*n = b*n + 31. What is the tens digit of n? 3 Let k be (2/4)/((-3)/24). Let n = k + 6. What is the units digit of (n/3)/((-14)/(-357))? 7 What is the thousands digit of 2242 + -4 + 8 - (0 - -2)? 2 Suppose 18 = -5*z - o + 7, 3*z +
{ "pile_set_name": "DM Mathematics" }
is f(-6)? -3 Let s(f) = -f**2 + f + 1. Suppose -1 - 7 = -2*t. Suppose -t*o = 5*r + 25, 5 = r + 4*r - 2*o. Give s(r). -1 Let t(z) be the first derivative of 0*z - 2/3*z**3 - 1 - 1/120*z**5 + 0*z**2 - 1/12*z**4. Let j(s) be the third derivative of t(s). Give j(-3). 1 Let z(k) = 14*k + 10*k - 1 + 2 - 21*k. Suppose -r - 4 = -3. Give z(r). -2 Let g(y) = y + 4. Suppose -2*z = 2*z. Calculate g(z). 4 Suppose 2*a + 15 = 7*a. Suppose -a*w = 4*t - 3*t, 4*w = -2*t - 4. Let h(y) = y + 12. What is h(t)? 6 Let m(v) = -1 + 2*v**2 - 5 + 7 - 5*v**2. Determine m(-1). -2 Let u(o) = -o**2 - 8*o - 7. Let c be u(-6). Let j(h) be the second derivative of -h**5/20 + h**4/2 - h**3/2 - 3*h**2 + 17*h. Calculate j(c). 4 Suppose 0 = -6*k + 2*k. Let z(d) = 2*d**3 - 3*d**2 + 2*d - 5. Let n(t) = -t**3 + t**2 - t + 2. Let q(y) = -5*n(y) - 2*z(y). Calculate q(k). 0 Let j(v) be the first derivative of v**5/15 + v**4/24 + v**2/2 - 4. Let y(r) be the second derivative of j(r). Give y(1). 5 Let s = -4 - -8. Let v(n) = n**3 - 4*n**2 + 4*n - 3. Give v(s). 13 Let v(h) = -h**3 - 2*h**2 + 2*h + 2*h**2 + 3*h**2 - 3. Calculate v(2). 5 Let r(y) be the second derivative of -y**5/20 + y**4/6 + y**3/3 + 5*y**2/2 + 6*y. Determine r(4). -19 Let y = 6 + -1. Suppose 5 = h, 0*w - 2*w - y = -h. Let m(j) = -j + 4. What is m(w)? 4 Let d(r) = r**3 - 4*r**2 - 5*r - 5. Suppose -j - 5 = -0*j - t, j + 11 = 3*t. Let w = 7 + j. What is d(w)? -5 Let r be 2 - (-6 - (0 + 3)). Let z = 6 - r. Let b(l) = l**3 + 5*l**2 - 3*l - 5. Give b(z). 10 Let n(r) = r**3 + 5*r**2 - 3*r - 11. Let h be n(-5). Let y(t) = -t**3 + 5*t**2 + t + 2. Determine y(h). 22 Let o(n) = -n**2 + n. Let y = 30 - 26. Determine o(y). -12 Let u(c) be the second derivative of c + 1/2*c**2 + 0 + 5/6*c**3. Calculate u(-1). -4 Let j be 1/(-2 + 82/40). Suppose 6*q = 2*q + j. Let n(p) = p**2 - 5*p + 1. Let o(v) = v**2 - 5*v + 1. Let i(y) = -5*n(y) + 6*o(y). Determine i(q). 1 Let j = 171 - 174. Let l(f) = -f**2 - 4*f. Calculate l(j). 3 Suppose 0 = -4*q - 12, 2*u - 5*q - 3 = -2*u. Let f(o) = 0*o**2 - 24 + 3*o + o**2 - 2*o + 26. Calculate f(u). 8 Let v(o) = 4*o**2 + 2*o - 2. Let h(a) = 3*a**2 + 2*a - 1. Let l(w) = -3*h(w) + 2*v(w). Give l(-3). -4 Let k(g) = -g**3 + 2*g**2 + 4*g - 2. Let t = -8 - -12. Determine k(t). -18 Let b(i) = i**2 + 2*i**2 - 9 + 9 - 1. Suppose 2*g + 3*g - z = 19, 0 = -2*g - 4*z + 12. Suppose g*s + 3*j - 19 = -0*j, -j = -5. What is b(s)? 2 Let x(y) = 2*y - 10. Let g be x(8). Let r(v) = -5*v**3 - 3*v**2 - 2*v + 11. Let a(b) = -9*b**3 - 5*b**2 - 4*b + 21. Let d(l) = g*a(l) - 11*r(l). What is d(-4)? -3 Let w(r) = -7*r - 5. Let s(u) = 13*u + 9. Let y(f) = -6*s(f) - 11*w(f). Let z = 5 + -3. Let h = z + 0. What is y(h)? -1 Let k(q) = q**3 - q - 1. Let s(c) = 4*c**3 + 7*c**2 - 10*c - 2. Let x(v) = 5*k(v) - s(v). Let i(t) = -t**3 + t**2 + t + 6. Let d be i(0). Determine x(d). -9 Let o(s) be the third derivative of s**7/840 - s**6/120 - s**5/24 + s**4/4 + s**3/3 + s**2. Let j(x) be the first derivative of o(x). What is j(4)? 2 Let c be 6/15 + (-39)/(-15). Let h(a) = 2*a - c*a**3 - a**2 - 1 + 0*a**2 + 6*a**3. Give h(1). 3 Let d(s) = 3*s - 7. Let x be ((-9)/6)/((-2)/(-20)). Let k be x*(-3)/9*1. What is d(k)? 8 Let b(v) = -226 + 226 + 2*v + 2*v**2. Calculate b(-2). 4 Let g be (-38)/(-5) + 4/10. Let z(b) = -12 - 11*b + g*b + 4*b. Suppose 3*d = -4*a + 3, -5*a - 20 = 5*d - 6*d. Calculate z(d). -7 Let z(k) = 0*k + 1 - 3 - k. Suppose -22 = -3*i + 2*m, i - 4*m - 7 + 3 = 0. Let a = i + -13. What is z(a)? 3 Let h(v) = v**3 - 3*v**2 + v - 3. Suppose 0 = -2*l - 3 + 5. Let i = l + 2. Determine h(i). 0 Let k(w) = w**2 + 4*w - 7. Let h be k(2). Let m(f) be the second derivative of -1/6*f**3 + 0*f**4 - 1/10*f**h - 1/2*f**2 - f + 0. Give m(-1). 2 Suppose 3*k - 42 = 60. Suppose 4*b - k = 2*o, -b = b + 4*o + 8. Let h(s) = s**2 - 7*s. Give h(b). -6 Suppose 6*x = x - 10. Let k(q) be the third derivative of -q**6/120 + 11*q**2. Give k(x). 8 Let x(f) = f**3 - 15*f**2 + 13*f + 16. Let d be x(14). Let n(a) = -2*a**2 + 1. Calculate n(d). -7 Let v(d) = -10*d**2. Let x(s) = s**3 + 4*s**2 - s + 1. Let z be x(-4). Suppose 5*q - z*l - 20 = -0*l, -5*q + l = 0. Give v(q). -10 Let i(t) = -2*t - 9. Let x be i(-5). Let d(l) = 2*l - l + x - 2. Give d(0). -1 Let g(t) = -t**2 - 6*t - 4. Let f be g(-5). Let d(v) = -v - 4. Let r be d(-5). Let h(j) = -7*j**2 + 4*j**2 + r + 0*j**2 - 5*j**2. Determine h(f). -7 Let b(j) = j. Let d(g) = -g**2 + 3*g + 5. Let c be d(4). Let w = 1 - c. Let v = w - 0. Calculate b(v). 0 Let x(i) be the second derivative of i**5/20 + i**3/6 + i**2/2 - 6*i. Suppose -l - 2*n = 11, -26 = -2*l + 3*l + 5*n. Give x(l). -1 Let c(x) = -x - 6. Let o be c(-8). Let t(l) = -2*l + 0 - 3 - l**3 + 0*l**3 - 5*l**o. Give t(-5). 7 Let r(i) = -2 + 2*i + 4*i + 8 - 5. What is r(-2)? -11 Let c(a) = a - 3. Let z(w) = -2*w + 4. Let r(n) = 5*c(n) + 4*z(n). Suppose 0 = -34*i + 38*i - 12. Calculate r(i). -8 Let v = 107/303 + -2/101. Let l(c) be the second derivative of v*c**3 + 1/6*c**4 - c - c**2 + 0. Calculate l(-2). 2 Let x(y) = y**3 - 3*y**2 - 28*y + 2. Let p be x(7). Let g(l) = -l**2 + 3*l - 3. Give g(p). -1 Let q(u) = 2*u + 2 - u**2 - 2. Let z(s) = s**3 - 3*s**2 + 2. Let w be z(2). Give q(w). -8 Let q(p) = 5*p**3 - 5*p**2 + 7*p - 4. Let a(i) = -11*i**3 + 10*i**2 - 15*i + 9. Let w(d) = 4*a(d) + 9*q(d). Let o = 0 + 2. Determine w(o). -6 Let z(m) = 3*m**2 + 3*m + 3*m**3 - 2*m**3 - 4*m. Suppose 3*p = -4*v + v - 18, 4*v = 0. Let r be ((-6)/(-4))/(p/12). What is z(r)? 3 Let y(c) = 4*c + 4 - c**2 + 1 + 0 - 8*c. What is y(-4)? 5 Let o(x) = x + 6. Let y be o(-6). Suppose -r - 4*r - 24 = -3*p, y = -2*r - 6. Let j(a) = -p - 2 - 5 + a. Give j(0). -10 Let q be 3/18 + (-3)/18. Let n(y) be the third derivative of 0*y**4 - 3*y**2 + 0 + 1/120*y**6 + 1/12*y**5 + q*y + 5/6*y**3. Calculate n(-5). 5 Let m(g) = 4*g**3 + 4*g**2 - 11 - 5*g - 3*g**3 + 5. Give m(-5). -6 Let r(m) be the third derivative of -m**5/60 + 5*m**4/24 - 3*m**2. Let c be r(4). Let f(h) be the first derivative of h**3/3 - h**2 - 2*h + 3. Give f(c). 6 Let v = 53 + -48. Suppose 3*c = 5*a + 2*c - 11, 2*a - c = 5. Let g(s) = -3*s - 7. Let f(q) = -q - 4. Let u(t) = a*g(t) - 5*f(t). Determine u(v). 1 Let j(p) = -2*p - 4. Let u be 0 + ((-4)/2 - -2)/(-2). What is j(u)? -4 Let d(x) = 5*x**2 - 4*x**2 - 3*x + 11 - 8. Determine d(3). 3 Let k(f) = -5*f - 6. Let a(x) = -6*x - 7. Let i(j) = -6*a(j) + 7*k(j). Let o be i(-6). Let s(c) = -c**3 - 6*c**2 + c + 1. Determine s(o). -5 Let o(i) = -i**3 + 7*i**2 - 6*i + 4. Let q be o(6). Let f(h) = h**3 - 4*h**2 + 2*h - 2. What is f(q)? 6 Let m(t) be the first derivative of t**3/3 - 3*t**2/2 - 2*t + 4. Let x = 1 - 1. Suppose -u = 3*f + 5, 5*u - 2*f + 8 = -x. Calculate m(u). 8 Suppose 0 = 2*w + 3*w - 25. Let k = w + -3. Let o = k + -2. Let q(n) = n + 8. What is q(o)? 8 Let y(a) = a**3 + 5. Let q be -1 + 2*12/(-3). Let p be (-3)/(q/(-3)) + 1. What is y(p)? 5 Let a(k) = -k**2 - 7. Let w = 8 + -4. Suppose 1 = 4*i - 5*m + 6, w*i - m + 1 = 0. What is a(i)? -7 Suppose -2*o = 3*o - 15. Suppose -5*c + 2 = -i, -o*i = 4*c + c - 14. Let y(b) = -4*b + 5*b + 0 + i*b + b**2 + 4. What is y(-3)? 1 Let b be 9*(-1 - (-10)/6). Let l be (-15)/b*1*-2. Let p(r) be the first derivative of -r**3/3 + 7*r**2/2 - 6*r + 2. Give p(l). 4 Suppose 0 = -3*i - i - j - 3, -5*j = 2*i + 15. Let h(b) = -4*b + 8. Let c(n) = n. Let m be (-1 + (-2 - -2))*-1. Let p(w) = m*h(w) + 5*c(w). Determine p(i). 8 Let f(b) be the first derivative of -5*b**4/4 - 2*b**3 + b**2 - 8*b - 1. Let y(h) = 3*h**3 + 4*h**2 - h + 5. Let x(w) = 5*f(w) + 8*y(w). What is x(3)? -3 Let t(s) = -2*s. Let v(m) be the second derivative of 1/20*m**5 + m + 0 + 0*m**3 + 1/2*m**2 + 1/12*m**4. Let w be v(0). Give t(w). -2 Let j(p) = p**2 - 2*p - 2. Suppose 2*k - 2 = k. Suppose -q - 2*z - 34 = 0, -3*z + k*z + 81 = -3*q. Let l be q/(-6) + (-8)/12. Calculate j(l). 6 Let p(a) be the third derivative of -2*a**2 + 0 + 0*a + 1/6*a**4 - 1/2*a**3. What is p(3)? 9 Let a(v) = -v**2 - 10*v + 3. Let b be a(-10). Suppose -s + 11 = 3*u, 0 = b*u + u + s - 14. Let w(x) = x**3 - 4*x**2 + 2*x + 1. Determine w(u). -2 Let f = -6 + 9. Let i(t) = 3*t**3 + 2*t - 3 - 2*t**2 - 3*t - 4*t**f + 2. Give i(-2). 1 Let s(j) = 3*j - 38. Let y be s(13). Let i(w) = -w**3 + w**2 - 1. Give i(y). -1 Suppose n + 0*g + 4
{ "pile_set_name": "DM Mathematics" }
2 = 2*p. Suppose -n = g*t - 2039, 3 = 5*n + 8. Is 24 a factor of t? False Let l(k) = -k**2 + 5. Let v be l(-3). Let r = v - -9. Suppose -6*s + 294 = -3*s + 3*t, -r*s + 474 = -3*t. Does 12 divide s? True Suppose 86*g + 155696 = 89*g - 4*t, 0 = 3*g - 5*t - 155695. Is g a multiple of 150? True Suppose -4*v - h = -9*v + 20, -2*v = -4*h + 10. Suppose -v*y = -12*y + 1568. Does 28 divide y? True Let x be ((-146)/(-3))/(10/(-30)). Suppose 0 = 48*c - 30*c + 2304. Let z = c - x. Is z a multiple of 9? True Let g(r) = -11*r - 3. Let s = 60 - 65. Let p be g(s). Suppose 2*n = -2*n + p. Does 4 divide n? False Suppose -5*j - 5*l = -64805, -8275 + 60123 = 4*j + 2*l. Does 87 divide j? True Is 4 a factor of 258/(-86)*(-4)/(-6)*-652? True Does 71 divide (2 - 7/(-2))/((-199)/(-95122))? False Suppose 5*g + 877*y = 880*y + 155788, -g = -3*y - 31148. Does 7 divide g? False Let o be ((-27)/36)/(1/88). Let w = o + 120. Does 7 divide w - (-3 - -2) - (5 + -2)? False Suppose 5*a = 2*a - 3*d - 12, 4*a - 2*d - 14 = 0. Let k(g) = -3 + 7*g + 1 + 3*g. Does 2 divide k(a)? True Let d(l) = 56*l**2 - 4*l - 9. Let j be ((-9)/(-3))/(1 + -2). Is 13 a factor of d(j)? True Suppose -614 = 4*a + 5*j, -4*j - 466 = 3*a - 3*j. Does 7 divide 3536/a*(0 - 3)? False Suppose 109 = 14*z + 25. Suppose 2*k - 2*p = 86, -z*k - 4*p + 86 = -4*k. Does 14 divide k? False Let n = -537 - -852. Let w(u) = u**3 - u**2 - u. Let p be w(2). Suppose d = -p*d + n. Does 15 divide d? True Let t = -26 - -23. Let k(r) = r**2 + 2*r + 3. Let a be k(t). Suppose -a = -3*u + 51. Is u a multiple of 3? False Suppose -4*y - 2*r = -18, 3*y + 0 = -r + 12. Let z(m) = -205 + y*m - 12*m**2 + 190 - 7*m**2 + 5*m + m**3. Is z(19) a multiple of 33? False Suppose -2 = -k - v, 4*k + 3*v + 2 = 15. Suppose z - 6 = k*z. Is 6 a factor of z/(-4) + 87/4? False Suppose 3 = 6*s - 3. Suppose -4*j + 2*w = 2, j - 4*w = -5 + s. Suppose 4*i + 5*l - 141 = 0, -2*i - 2*l + 70 + 2 = j. Does 13 divide i? True Let q be 5 + -1 + 2/1. Does 14 divide 392/(-42)*(-207)/q*1? True Let m = -899 + 5940. Does 42 divide m? False Let n = 71035 - 45109. Does 29 divide n? True Suppose -4*w + 2*c + 11930 = 0, 4*w - 4*c = -76 + 12012. Suppose 4*g = 5*k - w, -k - 2*g + g = -589. Does 65 divide k? False Suppose a - 2*a = -4*x - 43, 3*x + 42 = 4*a. Let m(s) = 6*s**2 + 33*s + 46. Is 11 a factor of m(x)? False Let s = 418 + -416. Does 26 divide 341 + s - (2 + 3 - 0)? True Let u = 127 - 62. Let v = -37 + u. Does 6 divide (45/36)/(1/v)? False Let a(s) = s**3 - 21*s**2 - 23*s + 1. Let g be a(22). Is (14/g)/((-2)/162) a multiple of 5? False Let o(i) be the second derivative of -5*i**3/6 + 21*i**2/2 + 26*i. Let v be o(-7). Is (6*(-1)/(-2))/(3/v) a multiple of 14? True Let j(q) = 2*q + 58. Let p be j(-27). Suppose -17*c = -16*c + p*r - 187, -5*c + 2*r + 869 = 0. Does 64 divide c? False Let q(x) = 88*x + 65. Let h be q(-6). Let s = h - -485. Is 10 a factor of s? False Let j(l) = -l**2 + 4*l + 15. Let c be j(6). Suppose 0 = -2*m - 6*g + c*g + 233, 5*m + 2*g = 566. Is 14 a factor of m? True Let p(c) = 4*c**3 - 14*c**2 + 2*c + 5. Let l be p(7). Let o = l + -432. Is o a multiple of 6? False Let s(c) = -c**2 + 47*c + 13. Let h(m) = m**2 + 12*m + 14. Let x be h(-12). Does 52 divide s(x)? False Let g(t) = 0*t + 13*t - 11 + 17*t + 20*t + 17. Is g(9) a multiple of 57? True Let v(m) = m**2 + 2*m + 19. Let a = -70 - -79. Let r(b) = -b**3 + 10*b**2 - 11*b + 18. Let i be r(a). Does 19 divide v(i)? True Suppose 0 = -26*d + 32*d + 84. Does 5 divide 8/d - 444/(-42)? True Let q be (-683 + (-1 + 0)*3)*-1. Suppose 9*p - q = -5*p. Is 6 a factor of p? False Let m(o) = 4*o - 2*o**2 + o**2 + 3 + 0. Suppose 0 = -2*l + 4*v + 8, -6*l - 5*v = -3*l - 12. Is 2 a factor of m(l)? False Suppose -50 = -3*b + 4*s - 18, 4*b = -3*s + 51. Is (0 + 40)*(4 + (-21)/b) a multiple of 18? True Let t = -40 + 45. Suppose 0 = t*l - 2*b + 7 + 7, 2*b - 8 = 2*l. Is (-150)/4*(20/(-15) + l) a multiple of 21? False Suppose -18 = 2*c - 28. Suppose -a = -c*a + 16. Is 13 a factor of (a/1 + -2)*41? False Let n = 15215 - 7457. Is 18 a factor of n? True Let w(p) = 11*p**2 + 12*p + 19. Let m(o) = -12*o**2 - 14*o - 22. Let j(r) = 5*m(r) + 6*w(r). Let d be 0 + -4 + -6 + 8. Is j(d) a multiple of 17? False Let x be 2*-1 + (4 - 2) + 192. Let g = 320 - x. Is 16 a factor of g? True Suppose 0 = 14*k - 2126 - 25062. Does 31 divide k? False Let t = -334 + 502. Let f(l) = 16*l**3 - 8*l**2 - 8*l. Let u be f(-1). Is 12 a factor of ((-8)/u*-2)/((-1)/t)? True Let t(r) = 316*r + 518. Let y(h) = 106*h + 172. Let f(n) = 3*t(n) - 8*y(n). Does 72 divide f(14)? False Suppose -34*f + 35*f = 273. Let v = f + -158. Does 13 divide v? False Let v = -37 - -40. Suppose 815 = v*y - 61. Suppose 3*t - 192 = -4*x + 108, -4*x - t = -y. Is 18 a factor of x? True Suppose 73099 = 52*a - 56381. Is 13 a factor of a? False Let d = -874 - -1594. Suppose -d = -5*k + k. Is k a multiple of 18? True Suppose 9*s - 27034 = 48944. Is s a multiple of 63? True Let i(a) = 6*a + 84*a + 14 - 12 - 2. Let u be 12/7 - 4/(-14). Does 36 divide i(u)? True Let b be 6/(-2)*(4 + (-35)/7). Suppose o + b*v = 175, -o + 199 = 3*v - 8*v. Let l = o + -127. Is l a multiple of 19? True Let t be (-20)/80*(-15944)/1. Suppose -9*u + 3511 = -t. Does 50 divide u? False Let q be ((-5)/(20/138))/(45/(-210)). Suppose q*z = 169*z - 88. Is 11 a factor of z? True Suppose 375804 = 22*c + 83*c + 129*c. Is c a multiple of 6? False Let q(d) be the first derivative of 6*d**3 + 5*d**2/2 + 33*d + 63. Does 55 divide q(-7)? True Suppose 0 = -4*t + 2*t + k + 387, 0 = 5*t + 4*k - 987. Let d = -34 - -24. Is ((-12)/9)/(d/t) a multiple of 2? True Let f(r) = -117*r + 2601. Does 63 divide f(-70)? False Let b(t) be the second derivative of -t**4/12 + 2*t**2 + 23*t. Let m be b(-3). Is 1/(m - 828/(-165)) a multiple of 6? False Let p(j) be the third derivative of -j**6/20 - j**5/15 + j**4/3 + 3*j**3 - 110*j**2. Is 12 a factor of p(-3)? True Let r(m) = 26 - 12*m - 42 - 12*m**2 - m**3 + 26. Let v be r(-11). Suppose 2*z - v = 7. Is 6 a factor of z? False Let s(g) = -2*g**2 - 15*g + 37. Let m be s(-9). Let i(o) be the third derivative of o**6/120 - 3*o**5/20 + 5*o**4/24 + 25*o**3/6 + o**2. Does 25 divide i(m)? True Let s(l) = 20*l + 91. Let z be s(-30). Let a = -193 - z. Is a a multiple of 24? False Suppose 155*v - 1556569 + 584427 - 1140818 = 0. Is v a multiple of 8? True Suppose r + 2*r + 2*r = 0. Suppose -2*w - 3*y + 8*y - 17 = r, w = -4*y + 24. Suppose 2*n = v - 26, 0 = 5*n - w*n. Is 26 a factor of v? True Suppose -k = a - 3, -14*k + 4*a = -16*k + 12. Suppose 61*q - 67*q + 582 = k. Is q a multiple of 3? False Does 219 divide 104578/8 + ((-342)/24 - -14)? False Let s be -1 + (2 - 1) + 36/(-18). Let l be s/(-3) + (-16)/6 - -3. Is 6*(l/6*118 + -1) a multiple of 28? True Suppose -4*c + 2*r = 20, -2*c - r - 5 = c. Let a(m) = 24*m**2 + 13*m + 33. Is a(c) a multiple of 6? True Suppose 222*n = 221*n - 5*y + 7510, 0 = 4*y - 4. Does 19 divide n? True Suppose 474*d = 11*d - 2479066 + 8356851. Does 39 divide d? False Let f be (-8 - (-350)/40) + (-5938)/(-8). Let m = -94 + f. Does 27 divide m? False Let j(b) = b**2 - 6*b. Let n be j(6). Suppose -3*a = 3*t - 3249, n = 5*a - 0*a - 2*t - 5422. Does 17 divide a? False Let d(m) = 11*m**2 - 93*m - 1236. Does 17 divide d(-22)? False Let f = 84 + -84. Let s be (-948)/10 - (4/20 + f). Let p = s + 162. Is p a multiple of 9? False Let h(n) be the first derivative of 15*n**2 - 41*n + 3204. Suppose 0 = 2*u - 3*u + 9. Does 17 divide h(u)? False Let b be 1/(((-6)/(-4))/3). Let p be (16/20)/(4/(-30)) - (-76 - 4). Suppose -p = -b*u + 4. Is u a multiple of 31? False Let r(k) = 277*k**2 - 3*k + 165. Does 8 divide r(-8)? False Let g be (-56)/(-30) - (117/135 - 1). Suppose 3*h - 2*r = 1396, -r = 4*h - g*r - 1853. Is 11 a factor of h? True Let t(u) = -6*u**2 + 17*u**3 + 15 - 10*u - 4*u**3 - 18*u**3. Does 54 divide t(-5)? True Is (-9)/(-5)*(-2 + (-60)/45) - -208 even? True Suppose 32 = -3*w + i + 4*i, -5*i = -5*w - 40. Is 4 a factor of w - (-4*(-66)/(-3) - -4)? True Let g(c) = c**3 - 41*c**2 + 16*c - 142. Let j be g(41). Let h = -385 + j. Is 2 a factor of h? False Let m(p) = p**3 + 8*p**2 - 3*p - 1. Let x = -13 - -7. Does 17 divide m(x)? False Let n(l) be the third derivative of -l**5/20 + l**4/8 + 3*l**3 - 4*l**2. Let
{ "pile_set_name": "DM Mathematics" }
16 In base 3, what is 0 + 2022? 2022 In base 11, what is -764 + -1? -765 In base 11, what is -4 + 48? 44 In base 14, what is -6 + -18? -20 In base 9, what is 182 + -6? 175 In base 5, what is -10 + -3? -13 In base 9, what is 4 - 37? -33 In base 14, what is 4 + -10a? -106 In base 9, what is 2166 + 4? 2171 In base 2, what is -10010 + 1010? -1000 In base 3, what is -2 - -211? 202 In base 4, what is 33 - -10? 103 In base 8, what is -30 + -14? -44 In base 7, what is 2 - -2066? 2101 In base 5, what is 3334 - -3? 3342 In base 10, what is -663 - 2? -665 In base 5, what is -4202 + -2? -4204 In base 10, what is -14 - 13? -27 In base 11, what is -2236 - -2? -2234 In base 2, what is -1000 + -1010? -10010 In base 13, what is 7 + -48? -41 In base 2, what is 100 - 1111? -1011 In base 15, what is 4 + 6d? 72 In base 16, what is -52b + -4? -52f In base 10, what is -2 - -3184? 3182 In base 13, what is -144c - -4? -1448 In base 5, what is 4041 - 10? 4031 In base 11, what is 286 - -3? 289 In base 11, what is 19a1 + -1? 19a0 In base 7, what is -12 - -13134? 13122 In base 6, what is -221 + 2? -215 In base 2, what is -1 + 1010111110110? 1010111110101 In base 16, what is 5 + 7? c In base 5, what is 10 - 33041? -33031 In base 6, what is 5 - 1134? -1125 In base 14, what is 2 + 8? a In base 12, what is -4969 - -3? -4966 In base 12, what is 5 + -15a? -155 In base 11, what is -1441 - -2? -143a In base 13, what is -6a - 24? -91 In base 13, what is 496 + -13? 483 In base 15, what is 12d6 - -3? 12d9 In base 9, what is 36 + 130? 166 In base 4, what is 1111 + -132? 313 In base 10, what is -4 - 85? -89 In base 3, what is -20000 - 0? -20000 In base 5, what is 2 + -33233? -33231 In base 4, what is 2301 - -20? 2321 In base 15, what is 7 - 11? -9 In base 7, what is 306 - 41? 235 In base 2, what is -10 - 11001? -11011 In base 2, what is -111 - -1010001110? 1010000111 In base 15, what is -20 + c? -13 In base 10, what is 1 + -5066? -5065 In base 7, what is -2101 - 1? -2102 In base 2, what is -11100 - 1000? -100100 In base 8, what is 2 - 166? -164 In base 11, what is -94 - 0? -94 In base 2, what is 10010011101 - 10? 10010011011 In base 16, what is -2c + -4d? -79 In base 6, what is 5 + -252? -243 In base 11, what is -38 + -3a? -77 In base 12, what is -132 + -3? -135 In base 10, what is 107 - 25? 82 In base 4, what is -2 + -31221? -31223 In base 5, what is 1412 - -3? 1420 In base 8, what is -233 - 12? -245 In base 5, what is -11 + -43? -104 In base 3, what is 200 + -2? 121 In base 7, what is 11 - -34? 45 In base 10, what is -3 + 195? 192 In base 16, what is -1563 - 3? -1566 In base 9, what is 2360 + 5? 2365 In base 4, what is -2331 - 11? -3002 In base 11, what is -3 + -13? -16 In base 8, what is 140 + 21? 161 In base 8, what is 2 + -3764? -3762 In base 8, what is -21 + -153? -174 In base 14, what is -20a + -2? -20c In base 11, what is 8 - -14? 21 In base 15, what is -1c - -11? -b In base 14, what is 337 + 1? 338 In base 4, what is -30 + 121? 31 In base 3, what is 100 - -1002? 1102 In base 16, what is 0 + -a0? -a0 In base 10, what is 51 + 17? 68 In base 10, what is -143 - -185? 42 In base 8, what is 322 - -13? 335 In base 10, what is -122 + 3? -119 In base 16, what is -2 + 3? 1 In base 3, what is -211 + 11? -200 In base 16, what is -26 - d? -33 In base 7, what is 105533 - 4? 105526 In base 5, what is -2424 - 10? -2434 In base 14, what is 5a2 - -4? 5a6 In base 5, what is 1012 - 1? 1011 In base 7, what is -143 - 3? -146 In base 6, what is -14 + 1415? 1401 In base 13, what is 3 - 16? -13 In base 3, what is 11 - 102? -21 In base 11, what is 11 + 10? 21 In base 14, what is 3c0 - 8? 3b6 In base 13, what is 6696 - -1? 6697 In base 15, what is a - -c? 17 In base 4, what is -11 + -200320? -200331 In base 2, what is 1 + 101001101? 101001110 In base 14, what is -6d69 + 0? -6d69 In base 9, what is 43065 + 2? 43067 In base 7, what is -2 - -1012? 1010 In base 16, what is 5 - 190? -18b In base 10, what is -2 - -2206? 2204 In base 11, what is -2 + 333? 331 In base 12, what is 26 - 36? -10 In base 12, what is 1391 + 3? 1394 In base 13, what is c35 - 0? c35 In base 14, what is -71d + 1? -71c In base 3, what is 11 - -12110? 12121 In base 15, what is -2 + -6e? -71 In base 5, what is 210 + -21? 134 In base 12, what is 1 - -27? 28 In base 11, what is -2 + 508? 506 In base 5, what is 3 - -230311? 230314 In base 16, what is -c4 + 5? -bf In base 6, what is -4011 + 11? -4000 In base 2, what is 0 - -1011110111? 1011110111 In base 6, what is 5340 + -2? 5334 In base 6, what is 3032 + -1? 3031 In base 10, what is 9379 - 1? 9378 In base 15, what is -1 + 35? 34 In base 10, what is 0 - -184? 184 In base 14, what is -5 + 10? 9 In base 4, what is -20221 + 22? -20133 In base 6, what is -55 - -111? 12 In base 3, what is -11 - 101? -112 In base 13, what is -1 + 0? -1 In base 5, what is 2 + 2103? 2110 In base 10, what is -3795 + 3? -3792 In base 14, what is -5b74 - -3? -5b71 In base 9, what is -50 + 6? -43 In base 15, what is c2 + 12? d4 In base 8, what is -2 - 42? -44 In base 6, what is -5 - 142? -151 In base 8, what is 13 + 0? 13 In base 8, what is 1055 + 106? 1163 In base 13, what is -7 + 228? 221 In base 9, what is 5 - 125? -120 In base 8, what is 33 + -111? -56 In base 16, what is -11 - -3? -e In base 9, what is -4 + 2708? 2704 In base 9, what is 26 + 467? 504 In base 4, what is 1201 + -10? 1131 In base 13, what is -1153 + 5? -114b In base 2, what is -101100 - -111? -100101 In base 10, what is -2 - 12? -14 In base 11, what is 2 - -4980? 4982 In base 9, what is 5760 - 3? 5756 In base 6, what is 4 + -124? -120 In base 12, what is 8 + -144? -138 In base 7, what is 5410 + 3? 5413 In base 16, what is -4eb4 + 5? -4eaf In base 13, what is 173 - -3? 176 In base 6, what is 10 + -40? -30 In base 12, what is 55 - 0? 55 In base 10, what is 0 - 705? -705 In base 9, what is -2 - 128? -131 In base 6, what is -24 + -2? -30 In base 16, what is b - 276? -26b In base 16, what is -9 + 22? 19 In base 11, what is -8 + -a? -17 In base 3, what is 0 + 10002012? 10002012 In base 11, what is 2 + 126a? 1271 In base 10, what is 1 + -951? -950 In base 3, what is -2 - -10221100? 10221021 In base 5, what is -4223 + 12? -4211 In base 8, what is -2 - 170? -172 In base 14, what is 4648 + 4? 464c In base 16, what is -2a + 8? -22 In base 2, what is -1 - -1010101110? 1010101101 In base 10, what is 5 - -91? 96 In base 11, what is -84 + -5? -89 In base 7, what is 136 - 12? 124 In base 9, what is 4 + -148? -144 In base 8, what is -401 + 2? -377 In base 14, what is -12 - 3? -15 In base 3, what is 210 - 212? -2 In base 2, what is -1 + 111111100? 111111011 In base 5, what is -12441 + -1? -12442 In base 7, what is -3 - 261? -264 In base 15, what is 9b + -7? 94 In base 4, what is 321300 - -13? 321313 In base 2, what is -10 + 1010101? 1010011 In base 6, what is 335 + -103? 232 In base 8, what is -4 - 1? -5 In base 14, what is -13 - -11? -2 In base 9, what is 6 - 12? -5 In base 16, what is -4e1 - -4? -4dd In base 3, what is -1 - -120? 112 In base 7, what is -356 - 1? -360 In base 11, what is 1696 + -3? 1693 In base 7, what is -4 + -10? -14 In base 5, what is 1023 + 1? 1024 In base 13, what is ac + 10? bc In base 12, what is -272 + 1? -271 In base 3, what is 1220002 - 12? 1212220 In base 11, what is -507 + 16? -4a1 In base 2, what is 10 + -11100? -11010 In base 10, what is 1124 - 1? 1123 In base 12, what is 4 + 94? 98 In base 3, what is -1020 - -20? -1000 In base 4, what is 0 - -30321? 30321 In base 12, what is -19 + -125? -142 In base 9, what is -2 - 2837? -2840 In base 11, what is -2 + -380? -382 In base 4, what is 10022 + -31? 3331 In base 13, what is -3 - -3? 0 In base 8, what is 16 - -10? 26 In base 13, what is -32 + -2? -34 In base 8, what is -535 - -6? -527 In base 2, what is 10110 + 101? 11011 In base 2, what is -101 + -10011000? -10011101 In base 11, what is 1727 + 4? 1730 In base 7, what is -3 - -24? 21 In base 8, what is -4574 - 13? -4607 In base 16, what is -3 + -e? -11 In base 8, what is 5 + 45? 52 In base 2, what is -110 + 0? -110 In base 12, what is -170 + -46? -1b6 In base 9, what is 5 + -146? -141 In base 2, what is 110 + -1001? -11 In base 12, what is -55 + -34? -89 In base 2, what is -100111 + 110? -100001 In base 3, what is -12 + -2002112? -20022
{ "pile_set_name": "DM Mathematics" }
*(-4/33)*(k**(2/9)*k*k**6)/(k/k**(-1)*(k**(-2/9)/k*k)/k) assuming k is positive. k**(15424/2475) Simplify (((m*(m**(2/3)/m*m)/m)**(2/9)*m**(-4/9)*m*m**7/m)**(-38))**(-38) assuming m is positive. m**(261364/27) Simplify ((((i**6/i*i*i)/i)/(i/((((i*(i*i**(-1/12))/i*i)/i)/i)/i))*((i/(i*(i*i/i**(-2))/i))/i*i)**14)**(4/11))**(-2/13) assuming i is positive. i**(914/429) Simplify ((k/k**1)/(k*k**(1/10)))/(k**0*k*k**(-1/3))*((k/(((k**(4/3)/k)/k)/k))/k*k*k**2)**(-1/2) assuming k is positive. k**(-41/10) Simplify (f*f**(1/3)*f)**(3/8)/((f*f**(2/3)/f)/f)**(-30)*f**3/((f*f/(f**(-3)/f*f)*f)/f)*(f**(-1/4))**(2/49) assuming f is positive. f**(-4365/392) Simplify (x**(-6)*x**(1/8))**20*((x*x**(-1/2))/(x*x**2))/(x**4*x/x**(3/4)) assuming x is positive. x**(-497/4) Simplify (n**(-6)/(n/((n*n*n**(-2/9))/n))*n/n**6*n**2)/((n/(n*(n**(-1)/n)/n*n*n)*n*n/n**(3/2)*n)/(n**(-3/4)/((n/(n*n**(-2/11)))/n))) assuming n is positive. n**(-4615/396) Simplify (((q*q**(-5/2))/q)/q*q**(2/25)/q)/(q**26*q/(q*q*q**(2/11))) assuming q is positive. q**(-16081/550) Simplify ((t**(1/2)/t**4)/(t*t*t/(t*t*t**(2/3)*t))**25)/((t**(-1/2)/t*t)**49/((t/t**(-3))/(t*t*t/t**(-3/7)*t))) assuming t is positive. t**(782/21) Simplify (((i/i**1)/i)/(i/i**(-33))*(i**(1/2)*i*i*i)**10)**14 assuming i is positive. 1 Simplify (d/(d*(d*d*d**(1/2))/d)*d*d*d)**(4/19)*(d**1)**(-18)*((d*d**(-2/19))/d**(2/13))**(-31) assuming d is positive. d**(-10041/247) Simplify (l*l*l/(l/l**(9/2))*(l*l**(-5))/l*((l*l**10)/l)**20)**(5/2) assuming l is positive. l**(2015/4) Simplify (o*o**(4/7)*o**(-2))**(-17)*(o**(-2/7)/(o/o**2*o))**23 assuming o is positive. o**(5/7) Simplify (z**(2/21)*z/(z/z**(-1)*z))/((z**(2/3)*z)/(z/(z/z**(1/4))*z*z))*z*z/((z/((z**3*z*z)/z))/z)*z**(-2/17)*(z**5/z)/((z**(-7)/z)/z) assuming z is positive. z**(8359/476) Simplify ((f*f*f/f**1*f**(2/11)/f*f*(f/f**(-1))/(f/f**(-4)))**(-20/7))**12 assuming f is positive. f**(2160/77) Simplify b/(b*b/((b*b**2)/b*b)*b)*b*b**(2/5)*b**(-2)/(b*b*b**(2/7))*(b**(-2/5))**(-39)*b**(-1)/(b/(b/((b*b**2)/b))) assuming b is positive. b**(75/7) Simplify (q**(-1/7)*q*q/((q/(q*q**(-1)))/q)*q)**20/((q/q**(-1/3))**31)**(2/25) assuming q is positive. q**(28264/525) Simplify (r/((r*r**2*r)/r))**(-2/103)/(r*r**(-20)*r*r)**(-10/9) assuming r is positive. r**(-17474/927) Simplify (((w*w**13*w)/((w*w*w**(-16)/w)/w))/((w**(-14)*w*w)/(w**(-15)*w)))**(-32/7) assuming w is positive. w**(-928/7) Simplify (l**(-1/3))**43/((l/(l/(l/(l*l**(-6)/l*l))*l)*l)/l*(l**(-1/3)/l)/l)*(l/l**(-1))**(2/23)*(l**(-2/3)*l)**(1/2) assuming l is positive. l**(-2299/138) Simplify ((((d/(d/(d/d**(-1/4))))**(-1/12))**32)**(10/11))**20 assuming d is positive. d**(-2000/33) Simplify (((y**(-26)/y**32)**50)**(-1/41))**47 assuming y is positive. y**(136300/41) Simplify (a/a**1)**(-26)/(a**(-1/5)*a*a**5)*(a**0)**11/(a**(-1/4)/(a**(2/7)*a)) assuming a is positive. a**(-597/140) Simplify ((n*((n*(n*n/(n**(-1/4)*n))/n)/n)/n)**(-33))**14*((n**(-3/2)*n)/n*n)/(n/(n/n**6))*n/((n**(-2/7)*n)/n*n)*n*n**(-4) assuming n is positive. n**(-873/7) Simplify ((v/v**10*v*v)**25*v/v**(-4/3)*v**(-2/3)/v)**(-1/3) assuming v is positive. v**(523/9) Simplify (d*d/((d*d**(1/12))/d)*d**(-1/2)*d**10/(d*d**15))**(-1/7) assuming d is positive. d**(55/84) Simplify (((z*z**(-2/7)*z*z*z)**(-19/4))**(4/5))**(2/3) assuming z is positive. z**(-988/105) Simplify (d**(1/4))**(2/17)*(d**(-1))**(-16/5)*((d**(-3/10)*d)/d**(-6))**(26/9) assuming d is positive. d**(6911/306) Simplify (u**(5/3)/(u**(-2/7)*u*u))/(u**1/(u/u**(-3)))*(u*u**(-6)*u/u**(-7))/(u**(-2/27)*u**(-5/6)) assuming u is positive. u**(2593/378) Simplify v**7*v**(-5/8)*(v**(-31)*v)**(-3/26) assuming v is positive. v**(1023/104) Simplify ((l*(l*l**13/l*l)/l*l*l)/l*l*l*(l*l**7*l)/l)**5*(l**(-10)*l*l**(2/23))**(44/3) assuming l is positive. l**(-395/69) Simplify k**(-2/17)*k**1*(k/k**(-3/7)*k)/k**(-1/4)*(k*k/k**(3/4)*k*k)/(k/((k**(4/5)*k)/k*k))*(k*k**(1/8)*k)/(k*k/((k*k*k**1)/k)) assuming k is positive. k**(46343/4760) Simplify (((l*l*l**5*l)/l)/(l**(2/13)/l*l)*l**(-7/5)*l*l**(6/13))**(-36) assuming l is positive. l**(-16164/65) Simplify (((j/j**(2/13)*j)/j*j**(-4))/(j/(j*j**0))**36)**(2/31) assuming j is positive. j**(-82/403) Simplify ((k**4/k)**(17/2)*(k**(-13)*k)/k**(-7))**17 assuming k is positive. k**(697/2) Simplify ((o*o**(2/9)*o*o)/o*o*o*o**(-2/9))**(3/8)/(o**(2/13)*o*o/(o/o**(-3/4))*(o/o**(-2/7))/o*o**(1/4)) assuming o is positive. o**(51/91) Simplify ((c/c**1)/(c/c**(2/17)*c))/(c**(3/5)/(c/(c*c/c**0*c)))*(c*c/c**(-2/5))**(-1/9)*(c/((c*(c/((c/c**(-2/7))/c)*c)/c)/c)*c)**(-9/4) assuming c is positive. c**(-54563/7140) Simplify ((g/(g/(g/((((g**(6/17)/g)/g)/g)/g)))*g)/(g*g*g**(9/5)/g))/(g**(9/2))**(-2/25) assuming g is positive. g**(1363/425) Simplify (i/(i/(i*i*i**4)))/(i/i**6)*(i*i**(-2/3))**(-14)*(i**(1/5))**(-7/6)*i**(-1/5)/(i/i**(-6)) assuming i is positive. i**(-11/10) Simplify (q**(-21)*q/q**(-2/35))/(q/(q*q**(8/9))*q**(-1/21)) assuming q is positive. q**(-5987/315) Simplify (((b/(b/((b*(b*b**7*b*b)/b*b)/b))*b*b**(1/4))**(3/29))**(-3/52))**9 assuming b is positive. b**(-3645/6032) Simplify (((a**(-13))**(6/19))**35)**19 assuming a is positive. a**(-2730) Simplify ((y/(y*y/(y/y**1)*y)*y)**(-22)/((y/(y**(-1/13)/y))/(y*y/(y*y*y**(-7)*y))))/(y*y**(-9/5)*y*y/(y*y**(-1/3)))**(-15) assuming y is positive. y**(441/13) Simplify ((o**(-1/2))**48*o**(2/13)*o*o*(o*o**(1/3))/o)/((o**(2/5)/o)**(-12/7)/((o*o**(-1/7)*o)/(o**(-2/15)/o))) assuming o is positive. o**(-26687/1365) Simplify ((p**(2/39))**(-8)*(p*p/p**12)**(-2/77))**(-16) assuming p is positive. p**(7232/3003) Simplify ((((c/c**(-30))/c)/c*c)/(((c*c**(1/5))/c*c)/c)*c**(-1/3)/c*c/c**25*c*c)**(-1/3) assuming c is positive. c**(-97/45) Simplify (((h**(-1/6)*h)/h**(-1/3))/(h**1)**(-19))/(((h**(2/7)/h)/h)/h**(1/12))**3 assuming h is positive. h**(2147/84) Simplify (((p/p**(-4/11))/(p*(p*p*p**(2/29)*p*p*p*p)/p*p))/(p**(5/6))**(5/2))**(1/8) assuming p is positive. p**(-29815/30624) Simplify (w**(-2/43)/(w/(w*w**(3/16)/w)*w)*(w**(-7)*w)/((w/w**(-8/5))/w))**(2/43) assuming w is positive. w**(-32539/73960) Simplify (v/(v*v**(11/2)*v))/v*v**(-3/4)*(v*v**(-2/55))/v**36 assuming v is positive. v**(-9523/220) Simplify (q**(-1))**28/((q*q/q**(-1/2))/(q*q*q**(-1/5)*q))*((q*q**1*q*q)/q*q)**7/(q**(2/3)*q**(-3)) assuming q is positive. q**(79/30) Simplify ((r*r**(-2/3))/r)/(r/r**(-6))*r/(r**3/r)*r*r**(2/9)*(r/r**(-2/5))**(5/7)/(r**0)**6 assuming r is positive. r**(-58/9) Simplify (f**(4/3)/(f/(f*f**(2/11)/f))*(f**(1/2))**0)/(((f*f**(7/5))/f**6)/(f/(f**(1/3)/f)*f)**(-36)) assuming f is positive. f**(-15161/165) Simplify (((s*s/s**(-4)*s*(((((s/((s*s*s/s**0)/s)*s)/s*s)/s)/s)/s)/s*s*s)**1)**(-20))**(-2/69) assuming s is positive. s**(200/69) Simplify (s/s**(23/2))**2/(s**18*s*s**18/s) assuming s is positive. s**(-57) Simplify ((l**4/l*l*l/((l*l*l**(-2/3)/l)/l)*l*l/(l/(l/(l/(l/(l/(l*l**10*l)))))*l)*l**(-2/15)*l)**(30/13))**29 assuming l is positive. l**(16124/13) Simplify (((a**(-28)/a)/a**(-1/16))/(a**(-14)*a*a**5))**(-26/5) assuming a is positive. a**(871/8) Simplify (((z*z**(8/13))/z)/z)**(-21/2)*(z*z**(-1/7)*z)/z**(4/7) assuming z is positive. z**(969/182) Simplify ((b**(-1))**(-5/8)*((b**1*b)/b)**44)/((b**0*b)**15)**(-32/7) assuming b is positive. b**(6339/56) Simplify ((a*a**(-2/9))**2*a**(-1/5)*a**(5/6))**(-32) assuming a is positive. a**(-3152/45) Simplify (c**(-4/7)*c/(c/(c*(((c/(c/(c**(-5)/c)*c))/c*c)/c)/c*c))*c)**(-9/8)/(c/(c/(c/(c*(c*c**(7/2)/c)/c)))*c**(-4)/c)**46 assuming c is positive. c**(9867/28) Simplify (r/((r/(r**(8/9)/r))/r)*r**10)/(r**(-9)*r/(r/(r*r/r**(-1/51)*r))) assuming r is positive. r**(2581/153) Simplify ((g/(g*g*g/((g/g**(2/3))/g)))**(-2/155))**(1/13)*(g**(-1/5)/(g*g**(-2)*g))/(g**0/g)**(-8) assuming g is positive. g**(-49553/6045) Simplify (f/((f/f**39)/f)*f**(1/4))/(f**(-2)/f)**31 assuming f is positive. f**(533/4) Simplify ((x/(x/x**(-1/5)*x*x*x))/(x/(x*(x/(x**(2/9)/x))/x*x))*(x**(-9))**(1/6))**25 assuming x is positive. x**(-1315/18) Simplify ((b*b*(b/(b**(2/49)*b)*b)/b*b*b*b**(2/15))/(b/(b*b**(-21)*b)*b**(-3/13)*b))**(-1) assuming b is positive. b**(159346/9555) Simplify ((v**0)**34/(v*v**(-2/5)*v)**(4/11))/((v/v**(-1/3)*v*v*v*v/(v*(v*v**(-1)*v)/v)*v*v)/(v**(-5)*v**(-2/3))) assuming v is positive. v**(-692/55) Simplify (
{ "pile_set_name": "DM Mathematics" }
63 (b) -3 (c) -1/3 (d) 2 a What is the closest to -0.32 in 84, 5, 0, -5, 2/29? 0 What is the nearest to -1/4 in 1, 9, -2/5, -455, 3/8? -2/5 Which is the closest to 0? (a) -4/13 (b) 22 (c) 1/7 (d) -6.7 (e) -4 c What is the closest to 1/8 in -0.5, -1.41, -4, 0.3? 0.3 What is the closest to -3 in 20, -1/24, -2/15, -8? -2/15 What is the closest to 24 in 0.03, -1, -0.154, 3? 3 What is the closest to 1 in 11, -1, 6, 3/2, 0? 3/2 Which is the closest to -1? (a) 0.8 (b) -0.4 (c) 2/5 (d) -5 (e) -26.7 b Which is the nearest to 1/3? (a) 56 (b) 0.04 (c) 3/4 (d) -1/5 b What is the closest to 2/7 in -2/9, 17, 4, -969, 0.1? 0.1 Which is the nearest to 3? (a) -12 (b) -20.4 (c) 0.4 (d) -0.5 (e) 2 e Which is the nearest to -392/9? (a) 0.07 (b) -3 (c) 2 b What is the nearest to -2 in 35, 124, -1? -1 What is the nearest to -0.4 in -11.8, 2, -0.4, -0.3? -0.4 Which is the closest to 18.2? (a) 1 (b) 0.2 (c) 0.4 (d) 0 a What is the nearest to 5 in -27, -0.37, 18, 0.1? 0.1 Which is the nearest to -457? (a) -0.5 (b) 2 (c) -0.1 (d) -6 d Which is the closest to -1? (a) -68 (b) 3/10 (c) 2.8 b Which is the closest to -0.2? (a) -2/9 (b) 272 (c) 3 (d) 0.5 a Which is the closest to -337/7? (a) 8 (b) -4 (c) 2/9 (d) -1 b What is the closest to 15 in 63, 0.04, -2/13? 0.04 Which is the nearest to -0.3? (a) -3 (b) 0 (c) 62861/5 b Which is the nearest to 4/23? (a) 3 (b) 1/11 (c) 0.255 (d) 4 c What is the closest to 18 in -66.77, -1, -0.2? -0.2 What is the closest to -145 in -0.3, 6, 2/5, -5? -5 Which is the nearest to -47? (a) 3 (b) -1/2 (c) -0.3 (d) -68 (e) 2/5 d What is the nearest to 766 in 4, 0.6, 0.5? 4 What is the closest to 3 in 0.1, -2.8, -1, 0.03, -0.2? 0.1 What is the nearest to 425 in -0.2, -114.2, -3/2? -0.2 Which is the closest to -12/91? (a) 3 (b) 0.5 (c) 0.4 (d) 28 c Which is the closest to 2/5? (a) 4/35 (b) 0.3 (c) -2 (d) -180 b What is the closest to 9/22 in -1, 2/9, -87? 2/9 What is the nearest to -3 in 3, -2802, 1, -1/3? -1/3 Which is the closest to 5.7? (a) 2/3 (b) 0.5 (c) -30 a Which is the nearest to -20/7? (a) -3 (b) 0.1 (c) -2/441 (d) 5 a Which is the nearest to 1? (a) -2/11 (b) -1632 (c) -0.3 (d) -14 a Which is the nearest to -88? (a) 1/75 (b) -1 (c) -2/5 (d) 2/3 b What is the nearest to -2/7 in -6/67, 0.2, -4, -1, 0.206? -6/67 Which is the nearest to 5? (a) -0.03 (b) -2/15 (c) -5 (d) -1.4 (e) 2 e What is the nearest to 0.06 in -55, 0.26, -5? 0.26 Which is the closest to -2? (a) -42 (b) 3 (c) 0.11 (d) -0.1 d Which is the nearest to -68? (a) -2 (b) 195 (c) -4 c What is the nearest to -0.4 in 20/49, -5/3, 0, 0.1, 1? 0 Which is the nearest to -1/2? (a) -53 (b) -2/33 (c) 151 b Which is the nearest to 60.87? (a) -2/21 (b) -109 (c) 0.1 c Which is the nearest to 0? (a) -35 (b) -0.03 (c) -0.4 (d) -0.1 (e) 16 b Which is the nearest to -12/11? (a) 0.1 (b) 575/6 (c) 0.2 a What is the nearest to 2/5 in -26, -0.24, 0.2, 2/3? 0.2 What is the nearest to -1 in -1/4, -35, 14.3? -1/4 What is the closest to 1/2 in -50/11, -636, -2/13? -2/13 What is the nearest to 0.6 in -1/1251, -5, -1? -1/1251 Which is the nearest to 0.02? (a) 3 (b) -2/5 (c) -5/4 (d) -228 b Which is the closest to -30? (a) -4 (b) -0.5 (c) -7 (d) -1 c Which is the nearest to 0.2? (a) -828/11 (b) -0.15 (c) 0 c What is the nearest to 2 in 56.66, 0.1, 2? 2 What is the nearest to 4 in -2, -73, -3/4, 10/27? 10/27 Which is the closest to 2/5? (a) -6/7 (b) -0.1 (c) -9/2 (d) -1/2 b What is the nearest to 2/7 in 1, 2/5, 1/12, 4/73, -3/50? 2/5 What is the nearest to -3 in -5, 1/2, -19, -4, -0.5? -4 What is the closest to 3 in 83, -0.1, -0.2, -2, -2/13? -0.1 Which is the closest to 11? (a) 1.58 (b) -3 (c) -0.5 a What is the closest to -2/3 in -1, -2/5, 6/5, 15/2? -2/5 What is the nearest to -20 in 19, 4, 0.032? 0.032 Which is the nearest to 2/9? (a) -1795 (b) -0.4 (c) -4 (d) -0.005 d What is the closest to 1/2 in 1/5385, 5, -8, 0.1, 4? 0.1 What is the nearest to -0.2 in 1/4, 107, -0.3, -1? -0.3 What is the nearest to -10 in 0.1, 2, 36, 0.03, 49? 0.03 What is the nearest to -32 in 10, 6, -1/5? -1/5 What is the nearest to -22418 in -2/7, -0.1, -2, 0.5? -2 What is the closest to 42 in 1/2, 0.2, 3, 7? 7 Which is the nearest to 1/4? (a) -55 (b) 4 (c) 14/5 c Which is the nearest to -0.996? (a) 6 (b) 0.09 (c) 2 b Which is the closest to -5/4? (a) 1/13 (b) 0.4 (c) 20 a What is the nearest to -0.38 in -1206, -2/7, -2? -2/7 Which is the nearest to -6? (a) 2/7 (b) -0.1 (c) -13/30 c What is the nearest to 0.041 in -1/4, 15, 1/6? 1/6 Which is the nearest to -20? (a) 1 (b) -3 (c) -5/6 b What is the nearest to 2/7 in -0.3, 3, 1580/191, 5? -0.3 Which is the nearest to -1? (a) 1/6 (b) -0.08 (c) 21 (d) -0.5 (e) -4/7 e What is the nearest to 2/9 in -1905, -25, -5? -5 Which is the closest to 2/5? (a) 0.4 (b) 4 (c) -41 (d) 18/7 a Which is the closest to 3? (a) 19 (b) 87 (c) 4 (d) 0.4 (e) 35 c Which is the closest to 16? (a) -27 (b) -9/11 (c) 2/9 c What is the closest to 1 in -1009, 3, -2/5, -46? -2/5 Which is the closest to -0.2? (a) 330 (b) -134 (c) 4 (d) 1 (e) 5 d Which is the nearest to -0.0441? (a) 0.05 (b) 2/3 (c) 3 (d) -2/5 a Which is the nearest to 2? (a) -2.5 (b) -2 (c) -0.2 (d) 2.9 (e) 1 d What is the closest to -15 in -65, 0.3, 3/5, 1/4, 1/7? 1/7 Which is the nearest to -4? (a) 0.57 (b) 1.527 (c) 0.5 (d) -0.4 d Which is the nearest to -2? (a) 1/5 (b) 54 (c) -9 a What is the nearest to 836 in -0.5, -2/7, -1, 17? 17 What is the closest to -31 in 0, 1/4, -0.5, -0.19? -0.5 What is the closest to -2107 in -4/3, 2, -4/7, 3, 5? -4/3 What is the nearest to 0.1 in -1057, 187, 2/3? 2/3 Which is the nearest to -231/2? (a) 0.2 (b) -14 (c) 0.04 (d) -2/7 (e) 0.4 b What is the closest to 9/2 in 3, -15/2, 1.43? 3 What is the nearest to -0.638 in 0.2, -4, 0.21? 0.2 What is the nearest to -2 in 160, -2/59, 3? -2/59 What is the nearest to -2/11 in -0.0207, 2, 2/19? -0.0207 What is the nearest to 4 in 3, -1, -64? 3 Which is the nearest to -1? (a) -5 (b) 0.01 (c) 2/3 (d) 15/22 b What is the nearest to -1/5 in -2, 1/3, 4, 0.5, -1? 1/3 Which is the nearest to -2/9? (a) -2/7 (b) -9 (c) 4 (d) -4 (e) 3 a What is the closest to 8/21 in -127, 5, 39? 5 Which is the nearest to -2/3? (a) -364 (b) 5/7 (c) 0.5 c What is the nearest to -5/3 in -0.3, 0, -185.18? -0.3 Which is the closest to 4? (a) 1/6 (b) 0 (c) -0.2 (d) 0.8 (e) 28 d What is the closest to -181 in -5, -2, 3, -52? -52 What is the closest to 3 in -2/11, 4, 0, -92, 8? 4 Which is the nearest to -3909? (a) 0.4 (b) -4 (c) 5 b What is the closest to -2/3 in 3, 0.1, -13, 5? 0.1 Which is the nearest to 142? (a) 0.3 (b) -0.2 (c) 2 (d) 2.1 d What is the nearest to -0.2 in 1/7, -6, 7, -1/4, 4? -1/4 What is the nearest to 2/9 in 2/13, -1.11, -9/5, -2? 2/13 What is the closest to -2 in 1944, -0.7, -2/5? -0.7 Which is the closest to -1/4? (a) 0 (b) 72.25 (c) 1 a Which is the nearest to 0? (a) -0.25 (b) -146 (c) -0.3 a What is the nearest to -2/993 in -4, 9, -0.3? -0.3 What is the closest to 4 in -1, 0.1, -2/3, -12/13, 3/4? 3/4 What is the nearest to -0.1 in -2, 2.06, 16, 5/6? 5/6 Which is the nearest to 20/17? (a) 2/57 (b) -3 (c) -2 (d) -0.3 (e) 0.1 e What is the closest to -0.1 in -4/11, 4, 1, 2/15? 2/15 What is the nearest to 0 in -355/11, 5, -1? -1 What is the closest to -3/13 in -6, 1/5, 5/2, 172? 1/5 Which is the nearest to -2/193? (a) -4 (b) -0.01 (c) 1/88 b Which is the nearest to -4? (a) -2 (b) -1.7 (c) 22 (d) -0.2 a What is the nearest to 0.04 in -0.5, -5.1, 2/7? 2/7 What is the closest to 6/13 in -1/3, 0.3, 195? 0.3 Which is the nearest to 8? (a) 52 (b) -2 (c) -2/35 (d) 3 d What is the nearest to -1 in 0, 4/3, -118374? 0 What is the nearest to 2/7 in -1/2, 0, -0.6, -5, -0.28? 0 What is the nearest to -0.012 in -1/10, -0.5, -1, -2/9? -1/10 Which is the nearest to -1/2? (a) 8 (b) 0 (c) -2/17 c What is the closest to 0.2 in -2, -0.8, 5, 1/3, 4? 1/3 What is the nearest to -0.2 in -8, -1, 1, 74? -1 Which is the closest to -6? (a) 4/5 (b) -1 (c) 0.3 (d) 1887 b Which is the nearest to 2/7? (a) -0.1 (b) -11 (c) 5 (d) -2/7 a What is the nearest to -0.788 in 20, 7, -2? -2
{ "pile_set_name": "DM Mathematics" }
to the power of 1/2, to the nearest integer? 47377 What is the square root of 5419961644 to the nearest integer? 73620 What is the third root of 17582312 to the nearest integer? 260 What is the cube root of 222559931 to the nearest integer? 606 What is 618403953 to the power of 1/2, to the nearest integer? 24868 What is 47124770 to the power of 1/5, to the nearest integer? 34 What is 736069282 to the power of 1/2, to the nearest integer? 27131 What is 666235748 to the power of 1/8, to the nearest integer? 13 What is 3781586644 to the power of 1/3, to the nearest integer? 1558 What is 4879194028 to the power of 1/2, to the nearest integer? 69851 What is 93200457 to the power of 1/3, to the nearest integer? 453 What is 610118383 to the power of 1/3, to the nearest integer? 848 What is the cube root of 947929867 to the nearest integer? 982 What is the cube root of 948035440 to the nearest integer? 982 What is the fourth root of 346350606 to the nearest integer? 136 What is the fourth root of 147495936 to the nearest integer? 110 What is 37375621 to the power of 1/4, to the nearest integer? 78 What is the eighth root of 290855764 to the nearest integer? 11 What is 83492322 to the power of 1/2, to the nearest integer? 9137 What is the third root of 936379433 to the nearest integer? 978 What is the square root of 421425619 to the nearest integer? 20529 What is 187074845 to the power of 1/10, to the nearest integer? 7 What is 25057578 to the power of 1/3, to the nearest integer? 293 What is 173645284 to the power of 1/7, to the nearest integer? 15 What is the third root of 27203036 to the nearest integer? 301 What is the third root of 223594514 to the nearest integer? 607 What is 895605817 to the power of 1/10, to the nearest integer? 8 What is 928306523 to the power of 1/2, to the nearest integer? 30468 What is 2825034683 to the power of 1/9, to the nearest integer? 11 What is the cube root of 53872666 to the nearest integer? 378 What is 17212144 to the power of 1/2, to the nearest integer? 4149 What is the third root of 198100781 to the nearest integer? 583 What is 836329720 to the power of 1/3, to the nearest integer? 942 What is 125557791 to the power of 1/8, to the nearest integer? 10 What is the square root of 146459779 to the nearest integer? 12102 What is the ninth root of 104147926 to the nearest integer? 8 What is 60553792 to the power of 1/3, to the nearest integer? 393 What is 62394235 to the power of 1/10, to the nearest integer? 6 What is 381511991 to the power of 1/5, to the nearest integer? 52 What is 582428412 to the power of 1/2, to the nearest integer? 24134 What is 13192071 to the power of 1/7, to the nearest integer? 10 What is 651933609 to the power of 1/3, to the nearest integer? 867 What is the third root of 1146704629 to the nearest integer? 1047 What is 71171091 to the power of 1/7, to the nearest integer? 13 What is the square root of 40014041 to the nearest integer? 6326 What is 973068982 to the power of 1/3, to the nearest integer? 991 What is 206666211 to the power of 1/9, to the nearest integer? 8 What is the fifth root of 622110568 to the nearest integer? 57 What is the sixth root of 107618196 to the nearest integer? 22 What is 6592638790 to the power of 1/2, to the nearest integer? 81195 What is 30064668 to the power of 1/3, to the nearest integer? 311 What is 736825934 to the power of 1/2, to the nearest integer? 27145 What is the square root of 191586768 to the nearest integer? 13841 What is the fifth root of 1160348140 to the nearest integer? 65 What is 3281853212 to the power of 1/2, to the nearest integer? 57287 What is 5345031353 to the power of 1/7, to the nearest integer? 25 What is 179684672 to the power of 1/4, to the nearest integer? 116 What is 11491259 to the power of 1/2, to the nearest integer? 3390 What is 459349781 to the power of 1/3, to the nearest integer? 772 What is the square root of 1820081165 to the nearest integer? 42662 What is 1485683870 to the power of 1/2, to the nearest integer? 38545 What is 272714495 to the power of 1/8, to the nearest integer? 11 What is the ninth root of 407196779 to the nearest integer? 9 What is the third root of 2187238 to the nearest integer? 130 What is 1032012177 to the power of 1/10, to the nearest integer? 8 What is the eighth root of 26863078 to the nearest integer? 8 What is 503754862 to the power of 1/2, to the nearest integer? 22444 What is 434452366 to the power of 1/3, to the nearest integer? 757 What is 160873234 to the power of 1/6, to the nearest integer? 23 What is 84315324 to the power of 1/9, to the nearest integer? 8 What is the square root of 86032581 to the nearest integer? 9275 What is the third root of 298023170 to the nearest integer? 668 What is 68779539 to the power of 1/9, to the nearest integer? 7 What is 54204853 to the power of 1/9, to the nearest integer? 7 What is 2964671358 to the power of 1/2, to the nearest integer? 54449 What is 491997919 to the power of 1/9, to the nearest integer? 9 What is 40746628 to the power of 1/8, to the nearest integer? 9 What is the square root of 518778 to the nearest integer? 720 What is the cube root of 2445713745 to the nearest integer? 1347 What is the cube root of 262526964 to the nearest integer? 640 What is 152098950 to the power of 1/4, to the nearest integer? 111 What is 5089156960 to the power of 1/2, to the nearest integer? 71338 What is the cube root of 1550407936 to the nearest integer? 1157 What is the square root of 26472592 to the nearest integer? 5145 What is the third root of 2091944330 to the nearest integer? 1279 What is the square root of 160681218 to the nearest integer? 12676 What is 2005183337 to the power of 1/6, to the nearest integer? 36 What is the sixth root of 1506732703 to the nearest integer? 34 What is the square root of 35511256 to the nearest integer? 5959 What is the square root of 39862687 to the nearest integer? 6314 What is 295464771 to the power of 1/3, to the nearest integer? 666 What is the square root of 23726444 to the nearest integer? 4871 What is the square root of 669926836 to the nearest integer? 25883 What is 114262262 to the power of 1/3, to the nearest integer? 485 What is the fifth root of 87338770 to the nearest integer? 39 What is the cube root of 14088487 to the nearest integer? 242 What is 148481500 to the power of 1/9, to the nearest integer? 8 What is 20879430 to the power of 1/4, to the nearest integer? 68 What is the sixth root of 587431206 to the nearest integer? 29 What is the third root of 47037670 to the nearest integer? 361 What is the square root of 76907380 to the nearest integer? 8770 What is the fourth root of 336303117 to the nearest integer? 135 What is 1018315915 to the power of 1/10, to the nearest integer? 8 What is the square root of 195154052 to the nearest integer? 13970 What is the fifth root of 558153163 to the nearest integer? 56 What is the square root of 52842157 to the nearest integer? 7269 What is the cube root of 69348810 to the nearest integer? 411 What is the square root of 3181260531 to the nearest integer? 56403 What is 67490480 to the power of 1/2, to the nearest integer? 8215 What is the fifth root of 172374090 to the nearest integer? 44 What is the cube root of 2692737772 to the nearest integer? 1391 What is the square root of 8286808545 to the nearest integer? 91032 What is the square root of 562307242 to the nearest integer? 23713 What is the third root of 44478742 to the nearest integer? 354 What is the third root of 116062894 to the nearest integer? 488 What is 940205331 to the power of 1/6, to the nearest integer? 31 What is 10170695 to the power of 1/2, to the nearest integer? 3189 What is the cube root of 23517051 to the nearest integer? 287 What is 4024181494 to the power of 1/2, to the nearest integer? 63436 What is 112351207 to the power of 1/6, to the nearest integer? 22 What is 1402289052 to the power of 1/10, to the nearest integer? 8 What is 3905136088 to the power of 1/2, to the nearest integer? 62491 What is the square root of 2492851301 to the nearest integer? 49928 What is the fifth root of 119095753 to the nearest integer? 41 What is the third root of 1580400888 to the nearest integer? 11
{ "pile_set_name": "DM Mathematics" }
est to -1 in -0.3, -3, -2? -0.3 Which is the nearest to -31? (a) -1 (b) -2/7 (c) -6 (d) 5 c Which is the nearest to 2? (a) -34 (b) -5 (c) -2/15 c What is the closest to 3 in 2/5, 1/2, -2/177, -0.3? 1/2 What is the nearest to -1/8 in 0.3, 7, -5, -6? 0.3 Which is the closest to 25? (a) 1/6 (b) -0.5 (c) 4/5 c What is the nearest to 0 in 0.4, -1/4, -2, 1/91? 1/91 Which is the nearest to 12? (a) 0 (b) 0.3 (c) 4 c What is the nearest to 311 in 2, -1/6, 2/7? 2 What is the closest to 2 in 2, -0.04, 1? 2 Which is the closest to 1/2? (a) 1 (b) -12/23 (c) -0.5 a Which is the nearest to 1? (a) -2 (b) 4/3 (c) 3 (d) -10 b What is the closest to -1 in 0.1, 47.74, 2/11? 0.1 What is the nearest to 0.5 in -1, 5, 18? -1 What is the closest to -0.1 in -3/5, -1.83, -0.5, -4? -0.5 Which is the nearest to -0.19? (a) -14 (b) -0.4 (c) -31 b What is the closest to 0.1 in 1, -2/13, 3, 0.4? -2/13 What is the nearest to 2/7 in 178, 2, -2/11? -2/11 Which is the closest to -1? (a) -7 (b) 4 (c) 0.04 (d) 63 c Which is the nearest to -6? (a) 0.07 (b) -8 (c) -3 (d) 4/3 b Which is the nearest to -2/7? (a) -3 (b) 0.17 (c) -4 (d) -1/3 d Which is the closest to 1? (a) -10 (b) -2 (c) -3 b Which is the closest to 1? (a) -0.2 (b) 1 (c) 0.5 b What is the closest to -3 in 3/4, 1/7, 0.12, 4? 0.12 Which is the closest to -0.1? (a) 0.2 (b) 0.13 (c) 1 (d) -0.3 d What is the nearest to -0.1 in -181, -4, -0.15, 0? -0.15 Which is the closest to 1? (a) -1 (b) 7 (c) 1/3 (d) -1/5 c What is the closest to -4/7 in 2, -16, -3, -5/2? -5/2 Which is the nearest to -13/2? (a) 0.14 (b) 3 (c) -5 c What is the nearest to 0.1 in -4, -2054, 5? -4 Which is the closest to 11? (a) -0.4 (b) -0.1 (c) -0.01 c Which is the closest to -0.57? (a) 1/3 (b) 2/17 (c) -2/5 c What is the nearest to 7 in 1, -2/7, 1/6, -9? 1 What is the nearest to 1 in -6/11, 43, 0? 0 Which is the nearest to -21? (a) -4 (b) -0.3 (c) 2 a What is the nearest to 1 in 98, 1/3, 1/4? 1/3 Which is the nearest to 0.1? (a) -0.04 (b) -1 (c) 0.3 (d) 3/8 a What is the closest to -1 in 16, 0.5, -0.5, -1? -1 What is the nearest to -2 in 14, -0.3, -0.1, -5? -0.3 Which is the nearest to 0? (a) -4 (b) 0.2 (c) -0.14 (d) 2/11 c Which is the nearest to -1/2? (a) 23 (b) 6/5 (c) -2/9 c Which is the closest to 38? (a) -3 (b) 1/6 (c) 3 c What is the closest to 0 in -1/2, -7/4, -4, 2? -1/2 Which is the closest to -13? (a) -1/2 (b) 1 (c) -0.1 (d) 3 a What is the nearest to 14 in 3, 1/7, 5, -4? 5 What is the nearest to -76 in 3, 0.5, -2? -2 Which is the closest to -2/7? (a) -2 (b) 5 (c) -358 (d) 1 d What is the closest to 5 in 2, -0.1, 3/19, 0.4? 2 What is the closest to 83 in -0.1, -5, -1/2? -0.1 Which is the nearest to -0.1? (a) 11 (b) 2/3 (c) 4 (d) -1.2 b Which is the closest to -1? (a) 3/2 (b) 5 (c) -1 (d) 0.5 c What is the nearest to -1 in 4/49, -5, 1/6? 4/49 What is the closest to -0.1 in 5, -33.6, 1/17? 1/17 What is the closest to 4 in 0, -8, 54? 0 What is the nearest to -25 in -17, 0, -4, 1? -17 What is the nearest to -4 in -0.5, 2, -1/8, 2/11? -0.5 Which is the nearest to 2/7? (a) -1/3 (b) -0.04 (c) -0.5 b What is the closest to -45 in -3, 0.4, 1, -1/6? -3 What is the nearest to 0.17 in -1/6, 10/9, 0.5, -1/4? 0.5 What is the nearest to 0 in 8, -2, -1/9, -3? -1/9 Which is the nearest to -2? (a) 3 (b) 1 (c) -97 (d) 0.5 d What is the closest to 13 in 0.3, 16, -0.1, -3? 16 Which is the closest to -0.1? (a) -2/5 (b) -0.6 (c) 103 (d) 2 a Which is the nearest to -2/7? (a) -3/13 (b) -2 (c) -0.1 a What is the nearest to -6/11 in 3/5, -9, -5? 3/5 What is the nearest to -0.1 in -1/7, 0.054, 0.4? -1/7 Which is the nearest to -20? (a) 0.3 (b) 0.08 (c) 1/5 (d) 2 b What is the nearest to -2/7 in -0.3, -5, 8? -0.3 Which is the closest to 0? (a) -0.4 (b) 9 (c) -4 (d) 1/3 d What is the closest to 1 in -0.2, 389, -5? -0.2 Which is the nearest to -2/25? (a) 1/21 (b) -5 (c) 0 c What is the nearest to -1 in 2/21, 3, -3, 4? 2/21 Which is the nearest to -2? (a) 4 (b) -1/2 (c) 19 b Which is the closest to 9/5? (a) 24 (b) -1/3 (c) -5 b Which is the nearest to -76? (a) 5 (b) 0.5 (c) -3/2 c Which is the closest to -1? (a) -3 (b) 0.01 (c) -2/13 (d) 6 c What is the nearest to -1 in 12, 4, -10, 3? 3 What is the nearest to 0.1 in 5, -1/162, -3/4? -1/162 What is the closest to -7 in 0.2, 0.5, -5, 4? -5 Which is the closest to 25? (a) -0.1 (b) -0.5 (c) 0.03 (d) 3 d Which is the closest to -0.1? (a) -2/15 (b) 2 (c) -39 (d) -1 a Which is the nearest to 0? (a) 4/3 (b) 3/8 (c) 3 b What is the nearest to 0 in 5, 0.03, 1/9, 17? 0.03 What is the closest to -643 in -3, -0.4, -1/2? -3 What is the closest to 2 in 8, -3, 3/8, 11/3? 3/8 Which is the nearest to 2? (a) -0.4 (b) 0.5 (c) -105 b What is the nearest to 32 in -4, -5, 5, 7? 7 What is the nearest to -116.8 in 2/5, -4, -1/6? -4 What is the nearest to 0 in 29, -0.2, 1? -0.2 What is the nearest to 1/25 in 3/4, 2/7, 0.2? 0.2 Which is the nearest to 5/7? (a) -1/2 (b) -1 (c) 2/25 c What is the closest to -11/2 in -3/2, 1/7, -12? -3/2 What is the closest to 1 in 0.4, 2/9, 0.2, 0? 0.4 What is the nearest to 0 in 4, 5, 2/7? 2/7 What is the nearest to 1 in 84, 0.4, -8, -2? 0.4 Which is the nearest to -1/2? (a) -7/15 (b) 0.5 (c) 0 a What is the nearest to -2/3 in -2.9, -18, 0.3? 0.3 Which is the nearest to 1? (a) -1/4 (b) 1/3 (c) 0.4 (d) 4 c What is the closest to 47 in 4, 0, -0.07? 4 What is the nearest to -2 in 2/27, -1, -0.2, -85? -1 What is the nearest to -3 in 1/6, 7, -0.08, 0.5? -0.08 Which is the closest to 0? (a) -2/15 (b) -2/13 (c) -4 (d) -0.4 a What is the nearest to -2/9 in 0.24, 0.5, 1/4, -0.5? -0.5 Which is the closest to -0.2? (a) -2/9 (b) -4 (c) -0.208 c Which is the nearest to 0.1? (a) -0.2 (b) 4/5 (c) -3/28 c What is the closest to 3 in -4, 0.4, 37, 0.2? 0.4 Which is the nearest to -2? (a) 3 (b) 2 (c) -2/3 (d) -1/22 c What is the nearest to -1 in -4/7, 1/24, 1, 0.2? -4/7 Which is the closest to -3? (a) -0.5 (b) -1 (c) 2/101 b Which is the nearest to 0.1? (a) -322/9 (b) 3 (c) 4 b What is the closest to 1 in -2/13, -107/4, 3, 10? -2/13 What is the nearest to 1 in -10, -0.5, -0.09? -0.09 Which is the nearest to 0? (a) 0.2 (b) 2/5 (c) -0.7 a Which is the nearest to 0.8? (a) -0.2 (b) 3/7 (c) -2/3 (d) -9 b Which is the closest to -6/5? (a) -2 (b) -4 (c) -2/13 (d) 3 a What is the closest to 0 in -2/9, 12/13, 1/6? 1/6 Which is the nearest to 6/11? (a) -2 (b) 67 (c) 0.3 c Which is the nearest to -1? (a) -0.3 (b) 3 (c) -8/9 c What is the closest to -2/5 in 4, 2/9, -315, 2? 2/9 Which is the closest to -0.1? (a) 1 (b) -9 (c) -3 (d) -1 d What is the nearest to -2 in 3, -1, 1, -3/7? -1 Which is the nearest to -2/3? (a) -0.3 (b) 2 (c) -15 a What is the nearest to 1/4 in -0.4, -0.6, 0.3, 2/7? 2/7 Which is the nearest to -1/4? (a) -2 (b) -2/9 (c) 1/3 b Which is the nearest to -1? (a) -2 (b) -3/4 (c) -0.4 b Which is the closest to -144? (a) 3 (b) -4 (c) -3 (d) -5 d What is the nearest to 0.8 in -17/4, -5, 1? 1 Which is the nearest to -0.1? (a) 13 (b) -1/2 (c) 2 b What is the closest to 0.18 in 3/2, -0.5, -5/4, -3? -0.5 What is the closest to 0 in -3, 4, 12, -1? -1 What is the closest to -24 in -1, -2/13, 0.5? -1 What is the nearest to -2 in 2/3, -5, -1.723? -1.723 What is the nearest to 0.1 in -1/9, 1/16, 23? 1/16 Which is the closest to 1? (a) 0.1 (b) -4 (c) -5 a What is the closest to 2/5 in 2/15, -0.13, -0.2? 2/15 What is the closest to 1 in 0.4, 5, 15, -1/3? 0.4 What is the nearest to 0 in 44, -2/7, 0.7, -0.3? -2/7 Which is the closest to 3? (a) 3/2 (b) 0.1 (c) 1/3 a Which is the nearest to -1/8? (a) 0.3 (b) 3 (c) 0.2 (d) -5 c Which is the nearest to -1/5? (a) -5/6 (b) -0.03 (c) -4 (d) -0.1 d What is the closest to 0.1 in -5, -58, 2? 2 What is the closest to -1/3 in -0.4, -87, 1? -0.4 What is the closest to -11 in 0.1, 4, 2? 0.1 Which is the nearest to 58? (a) -4 (b) 1 (c) 1/11 b Which is the nearest to 1? (a) -16 (b) 5 (c) -5 (d) -2 d Which is the nearest to -1/5? (a) -3 (b) -0.1 (c) -4 (d) -2/9 d What is the closest to 9 in -1/6, 2/7, 2, 0? 2 What is the nearest to -18 in -2/13, 3, 0, 10? -2/13 Which is the nearest t
{ "pile_set_name": "DM Mathematics" }
2 What is 309992103 to the power of 1/2, to the nearest integer? 17607 What is 615822715 to the power of 1/3, to the nearest integer? 851 What is 113485562 to the power of 1/3, to the nearest integer? 484 What is the square root of 24007727 to the nearest integer? 4900 What is the square root of 257335943 to the nearest integer? 16042 What is the fifth root of 1695179646 to the nearest integer? 70 What is the seventh root of 118284906 to the nearest integer? 14 What is 1013872457 to the power of 1/2, to the nearest integer? 31841 What is 1851533742 to the power of 1/3, to the nearest integer? 1228 What is the square root of 81622027 to the nearest integer? 9034 What is 389202386 to the power of 1/2, to the nearest integer? 19728 What is the tenth root of 1596049603 to the nearest integer? 8 What is 2921356313 to the power of 1/2, to the nearest integer? 54050 What is 3374202 to the power of 1/2, to the nearest integer? 1837 What is the square root of 259748519 to the nearest integer? 16117 What is the fourth root of 60261586 to the nearest integer? 88 What is the third root of 14850874 to the nearest integer? 246 What is 26537001 to the power of 1/4, to the nearest integer? 72 What is 28895575 to the power of 1/3, to the nearest integer? 307 What is 151546324 to the power of 1/6, to the nearest integer? 23 What is the tenth root of 3128761729 to the nearest integer? 9 What is the third root of 501203432 to the nearest integer? 794 What is 183277879 to the power of 1/10, to the nearest integer? 7 What is 553874373 to the power of 1/2, to the nearest integer? 23535 What is the cube root of 1598709657 to the nearest integer? 1169 What is the third root of 94484670 to the nearest integer? 455 What is 6319280970 to the power of 1/3, to the nearest integer? 1849 What is the ninth root of 57323745 to the nearest integer? 7 What is 302842140 to the power of 1/5, to the nearest integer? 50 What is 467892791 to the power of 1/6, to the nearest integer? 28 What is 2499559732 to the power of 1/3, to the nearest integer? 1357 What is 306187673 to the power of 1/10, to the nearest integer? 7 What is the cube root of 24850732 to the nearest integer? 292 What is 146128740 to the power of 1/3, to the nearest integer? 527 What is the eighth root of 522686148 to the nearest integer? 12 What is 259381909 to the power of 1/2, to the nearest integer? 16105 What is the square root of 814988005 to the nearest integer? 28548 What is 203636532 to the power of 1/5, to the nearest integer? 46 What is 68669007 to the power of 1/3, to the nearest integer? 409 What is the cube root of 7386542627 to the nearest integer? 1948 What is 4956277 to the power of 1/9, to the nearest integer? 6 What is the seventh root of 1626260674 to the nearest integer? 21 What is the eighth root of 233332763 to the nearest integer? 11 What is the seventh root of 859169285 to the nearest integer? 19 What is 290912808 to the power of 1/2, to the nearest integer? 17056 What is the third root of 456904512 to the nearest integer? 770 What is 283488048 to the power of 1/3, to the nearest integer? 657 What is 61979332 to the power of 1/6, to the nearest integer? 20 What is 144372541 to the power of 1/6, to the nearest integer? 23 What is 730138780 to the power of 1/7, to the nearest integer? 18 What is the third root of 168497 to the nearest integer? 55 What is 517183041 to the power of 1/8, to the nearest integer? 12 What is the sixth root of 19653203 to the nearest integer? 16 What is the square root of 506988887 to the nearest integer? 22516 What is 1966182962 to the power of 1/3, to the nearest integer? 1253 What is 70207124 to the power of 1/2, to the nearest integer? 8379 What is the cube root of 2273939312 to the nearest integer? 1315 What is the square root of 8981039 to the nearest integer? 2997 What is 219018140 to the power of 1/2, to the nearest integer? 14799 What is 2866160765 to the power of 1/10, to the nearest integer? 9 What is the square root of 362905337 to the nearest integer? 19050 What is 164684899 to the power of 1/3, to the nearest integer? 548 What is the cube root of 42967180 to the nearest integer? 350 What is 154601106 to the power of 1/2, to the nearest integer? 12434 What is 1256918710 to the power of 1/5, to the nearest integer? 66 What is 97419 to the power of 1/2, to the nearest integer? 312 What is the third root of 430288503 to the nearest integer? 755 What is 2922159765 to the power of 1/2, to the nearest integer? 54057 What is the square root of 99022929 to the nearest integer? 9951 What is 66771867 to the power of 1/10, to the nearest integer? 6 What is 1644318925 to the power of 1/3, to the nearest integer? 1180 What is the fourth root of 1466987271 to the nearest integer? 196 What is the third root of 28880272 to the nearest integer? 307 What is 180397688 to the power of 1/3, to the nearest integer? 565 What is the third root of 10371094 to the nearest integer? 218 What is the cube root of 94544509 to the nearest integer? 456 What is 785995169 to the power of 1/10, to the nearest integer? 8 What is the square root of 391270164 to the nearest integer? 19781 What is 662393701 to the power of 1/3, to the nearest integer? 872 What is the fourth root of 43470855 to the nearest integer? 81 What is the third root of 21503415 to the nearest integer? 278 What is the square root of 417888764 to the nearest integer? 20442 What is the square root of 124768478 to the nearest integer? 11170 What is 251817444 to the power of 1/6, to the nearest integer? 25 What is 13292639 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 573699699 to the nearest integer? 29 What is the eighth root of 62047488 to the nearest integer? 9 What is the fourth root of 272836961 to the nearest integer? 129 What is 16720042 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 5005989 to the nearest integer? 13 What is the third root of 227950678 to the nearest integer? 611 What is 41183162 to the power of 1/5, to the nearest integer? 33 What is 10702142 to the power of 1/2, to the nearest integer? 3271 What is the fourth root of 3022286884 to the nearest integer? 234 What is 94706111 to the power of 1/10, to the nearest integer? 6 What is 8302972209 to the power of 1/5, to the nearest integer? 96 What is the third root of 45284423 to the nearest integer? 356 What is the sixth root of 3999922204 to the nearest integer? 40 What is the fifth root of 202027578 to the nearest integer? 46 What is 129521215 to the power of 1/2, to the nearest integer? 11381 What is the tenth root of 2252024336 to the nearest integer? 9 What is the third root of 133803217 to the nearest integer? 511 What is 647900716 to the power of 1/9, to the nearest integer? 10 What is the eighth root of 367686273 to the nearest integer? 12 What is the cube root of 5731363734 to the nearest integer? 1790 What is the tenth root of 4876136779 to the nearest integer? 9 What is the square root of 27661839 to the nearest integer? 5259 What is 68756027 to the power of 1/2, to the nearest integer? 8292 What is the tenth root of 336674304 to the nearest integer? 7 What is the square root of 11420478 to the nearest integer? 3379 What is 25831056 to the power of 1/8, to the nearest integer? 8 What is the sixth root of 292076880 to the nearest integer? 26 What is 1986930821 to the power of 1/9, to the nearest integer? 11 What is 295675047 to the power of 1/9, to the nearest integer? 9 What is the cube root of 137976037 to the nearest integer? 517 What is 39811854 to the power of 1/4, to the nearest integer? 79 What is 8481568028 to the power of 1/3, to the nearest integer? 2039 What is 441151403 to the power of 1/2, to the nearest integer? 21004 What is the tenth root of 1513842521 to the nearest integer? 8 What is the eighth root of 46432644 to the nearest integer? 9 What is the square root of 3684205870 to the nearest integer? 60698 What is the fifth root of 2606823 to the nearest integer? 19 What is the seventh root of 160695778 to the nearest integer? 15 What is the square root of 62653575 to the nearest integer? 7915 What is 103935317 to the power of 1/2, to the nearest integer? 10195 What is 95264
{ "pile_set_name": "DM Mathematics" }
0, what is -11559 - 3? -11562 In base 11, what is -2747 + -242? -2989 In base 3, what is -12 - -22002120112? 22002120100 In base 9, what is -128741 + 5? -128735 In base 10, what is 29 - 12600? -12571 In base 3, what is 1120101011 + 22? 1120101110 In base 16, what is a7a - -10? a8a In base 15, what is 122 - -13d8? 150a In base 12, what is -65 + -4198? -4241 In base 7, what is 0 + 11516? 11516 In base 11, what is -4288 + -175? -4452 In base 14, what is 359 - 6? 353 In base 16, what is 23 + -9543? -9520 In base 3, what is 1 - -22211210? 22211211 In base 12, what is 28a + -3? 287 In base 9, what is -2664 - 348? -3123 In base 9, what is -712 - -31? -671 In base 2, what is -1110110 + -101011001100110? -101011011011100 In base 13, what is -2 + -16b0b? -16b10 In base 3, what is -2202200 - -1? -2202122 In base 15, what is 13ec9 - -18? 13ee2 In base 2, what is 100000101100010011 + -100? 100000101100001111 In base 3, what is -12 + 222001202? 222001120 In base 5, what is 0 - 210412220? -210412220 In base 8, what is -1 + -24260? -24261 In base 13, what is -1835 - 2? -1837 In base 11, what is -50 + 86a? 81a In base 8, what is 2455 + 32? 2507 In base 11, what is 61 + -227? -176 In base 5, what is 1311 - -223? 2034 In base 11, what is 40 - 2469? -2429 In base 7, what is -14342 - 4? -14346 In base 16, what is -289 + bd? -1cc In base 5, what is -3 - -2041000? 2040442 In base 7, what is -516 + 1562? 1043 In base 4, what is 10110020 + 1210? 10111230 In base 8, what is 1 - -2274? 2275 In base 14, what is 2abc + 89? 2b67 In base 2, what is 10 + -11000001100000100? -11000001100000010 In base 3, what is 11211212 - -11? 11212000 In base 6, what is 145 + 401? 550 In base 7, what is 1 + -351606? -351605 In base 11, what is -214 + -16? -22a In base 14, what is -1 - -34cb? 34ca In base 10, what is -2318 - -363? -1955 In base 4, what is 3 + -131332032? -131332023 In base 8, what is 0 + -675610? -675610 In base 15, what is -65 - 4234? -4299 In base 12, what is -2552 + -5? -2557 In base 9, what is 24 + -27622? -27587 In base 2, what is 101111000011 + -11100? 101110100111 In base 11, what is 30 - 4196? -4166 In base 16, what is 4a + 1405? 144f In base 8, what is -262 - -6741? 6457 In base 9, what is -1 - 21406? -21407 In base 10, what is 5245 + 5? 5250 In base 8, what is 720 - -340? 1260 In base 9, what is -5 - -174757? 174752 In base 11, what is -a3 - 11a? -212 In base 14, what is -18187 + -22? -181a9 In base 7, what is -1 + 3565404? 3565403 In base 5, what is -312 + -10123? -10440 In base 7, what is 560 - 1133? -243 In base 4, what is 1 + -12331103? -12331102 In base 7, what is -2 + 326163? 326161 In base 5, what is -10111001 - 33? -10111034 In base 8, what is -26407776 - 4? -26410002 In base 3, what is 2101 + 102122? 112000 In base 2, what is 1011 + 1011000100111? 1011000110010 In base 10, what is 6 - -7637? 7643 In base 13, what is 48 - -2602? 264a In base 11, what is 830701 + 3? 830704 In base 12, what is -1592 + 26? -1568 In base 14, what is 3 + 14389? 1438c In base 3, what is 1001010210 - 1111? 1001002022 In base 8, what is -23 + 7333? 7310 In base 11, what is 17 - a905? -a899 In base 15, what is -22a - -251? 26 In base 6, what is -122413 + -1211? -124024 In base 16, what is 4eb - b? 4e0 In base 13, what is -754b - 42? -7590 In base 13, what is 7615 - 30? 75b5 In base 7, what is 3115 + 2? 3120 In base 5, what is 1230 + 202? 1432 In base 13, what is 1bb788 - -4? 1bb78c In base 14, what is -2 - 122306? -122308 In base 10, what is 1 - -13017? 13018 In base 5, what is 41233204 + -2? 41233202 In base 3, what is -112021010102 - -10? -112021010022 In base 2, what is -100000 - -110101110101? 110101010101 In base 6, what is -53 + 3050? 2553 In base 8, what is -1603160 - 5? -1603165 In base 12, what is 5aa0 - -2? 5aa2 In base 2, what is -11000101011111 + -1000? -11000101100111 In base 10, what is -3 + 110600? 110597 In base 6, what is 2001345 + -5? 2001340 In base 11, what is -3 + 15676? 15673 In base 12, what is 4 - 39372? -3936a In base 7, what is -4114431 - -1? -4114430 In base 5, what is 1 - 3214443? -3214442 In base 2, what is -1010111 - 111011001010? -111100100001 In base 4, what is 20133212131 - 3? 20133212122 In base 4, what is -1031 - 11003? -12100 In base 14, what is 4d + 46d? 4bc In base 15, what is 6 + -37b2? -37ab In base 2, what is -101 - 10100010? -10100111 In base 16, what is -2c5 + -4? -2c9 In base 15, what is -1647b3 + 5? -1647ad In base 13, what is 331564 - 5? 33155c In base 9, what is 14828 + 5? 14834 In base 4, what is 21323 - 12301? 3022 In base 4, what is -2212303 - -2102? -2210201 In base 16, what is 2a8b95 - 3? 2a8b92 In base 4, what is 10010323 + -3? 10010320 In base 13, what is 4 + c4b8? c4bc In base 3, what is -12011022122 + 20? -12011022102 In base 10, what is 13937 + -2? 13935 In base 9, what is -6 - -14131? 14124 In base 15, what is 1cee9 - -1? 1ceea In base 16, what is -4 + -3bf1? -3bf5 In base 3, what is -1202010 + -12012? -1221022 In base 9, what is 4 - 2043741? -2043736 In base 2, what is -1010101011100011100 + 100? -1010101011100011000 In base 5, what is -112321 - -30? -112241 In base 3, what is -21 + 21200220? 21200122 In base 14, what is -283c1 + -1? -283c2 In base 7, what is 263516 - -4? 263523 In base 9, what is 0 + 1007101? 1007101 In base 5, what is -13 + 232322? 232304 In base 5, what is -2 - 1101201? -1101203 In base 10, what is 39 - 82706? -82667 In base 2, what is -100 - -11001011001? 11001010101 In base 15, what is 10 + -13d? -12d In base 6, what is 3332512 + 0? 3332512 In base 12, what is -37 + 6308? 6291 In base 3, what is 12202012001 - 111? 12202011120 In base 5, what is -244111 + 4? -244102 In base 15, what is -3c82 + -5? -3c87 In base 5, what is 10312234240 + -3? 10312234232 In base 5, what is -1 - 1144143? -1144144 In base 4, what is -101 + -113130? -113231 In base 15, what is -4 + 137a14? 137a10 In base 8, what is -5 + 16752? 16745 In base 3, what is -11 + 102212112? 102212101 In base 13, what is 206274 + 4? 206278 In base 3, what is -201211011 - 0? -201211011 In base 7, what is 166416 + 13? 166432 In base 6, what is 555333 + -1? 555332 In base 5, what is -3044 - 1342? -4441 In base 12, what is -355190 + 4? -355188 In base 14, what is -1637 - 30? -1667 In base 8, what is -215 - -16306? 16071 In base 6, what is 3 - -131125? 131132 In base 10, what is -120 - 278? -398 In base 11, what is -15 - -1670? 1656 In base 14, what is 29b + 25? 2c2 In base 14, what is -5101 + 11? -50d0 In base 10, what is -19 - 133? -152 In base 13, what is -1a6 - -7988? 77b2 In base 6, what is 22550 - 3500? 15050 In base 10, what is 345 - -164? 509 In base 2, what is -1111101110111111101 + 1? -1111101110111111100 In base 11, what is -2 + 28629a? 286298 In base 14, what is -41 + -208? -249 In base 8, what is 1362 - 2710? -1326 In base 16, what is -1 + 30618? 30617 In base 16, what is -105 - 2c5? -3ca In base 15, what is -2ac6e - -4? -2ac6a In base 12, what is -1 - -3250? 324b In base 5, what is -3 + -123323031? -123323034 In base 8, what is -4 + 271044? 271040 In base 11, what is 5 - 10259? -10254 In base 7, what is 111 + 33140? 33251 In base 7, what is -20352 - -56? -20263 In base 11, what is 17 + 5663? 567a In base 9, what is -817 + 1256? 338 In base 3, what is -1011 + 12102? 11021 In base 7, what is -13 - 2664? -3010 In base 13, what is 68 + -748? -6b0 In base 15, what is 562 + -3d? 524 In base 4, what is 0 + 102333022? 102333022 In base 10, what is 2347 + 38? 2385 In base 14, what is -27782 - -13? -2776d In base 2, what is 1100000110 - 1101000000? -111010 In base 13, what is 49a9 + -7? 49a2 In base 11, what is 516252 + 2? 516254 In base 7, what is -20632 + 1? -20631 In base 5, what is -234110 + -3? -234113 In base 10, what is 5 + -854553? -854548 In base 10, what is -12179 + 1? -12178 In base 15, what is 1 - 2e1? -2e0 In base 16, what is 21eb5 - b? 21eaa In base 10, what is 4867 - 46? 4821 In base 11, what is -6478 - -32? -6446 In base 2, what is -10010010001100100 - -10? -10010010001100010 In base 8, what is -176 - -541? 343 In base 7, what is 2554050 + -1? 2554046 In base 13, what is -5 - -41cc? 41c7 In base 12, what is 18080 - 2? 1807a In base 4, what is 213311 + 22111? 302022 In base 6, what is 2042410 - -4? 2042414 In base 10, what is -404
{ "pile_set_name": "DM Mathematics" }
Let b(r) = -4*r. What is b(w(u))? 12*u**2 Let i(f) be the second derivative of f**3/6 + f. Suppose 4*y - 72 = 2*g + 38, -2*g + 46 = 2*y. Let w(j) = 0*j - 26 - j + y. What is i(w(m))? -m Let v(i) = -2*i**2. Let h(t) = -29*t. Let y(s) = -s. Let n(c) = -2*h(c) + 14*y(c). Determine n(v(m)). -88*m**2 Let o(d) = -8*d**2. Let b(s) be the first derivative of s**3/3 - 3. Determine o(b(u)). -8*u**4 Let y(h) = -25340*h**2. Let v(n) = 2*n. Determine v(y(d)). -50680*d**2 Let c(q) = -4*q**2. Let a(g) = 2*g + 2*g + 2*g - 3*g. Determine a(c(u)). -12*u**2 Let y(i) = -65*i**2 + 1. Let p(q) = -108*q. Determine y(p(u)). -758160*u**2 + 1 Let v(x) = 4*x. Suppose -18 = -6*d + 3*d. Let s(l) = 9*l**2 + 7. Let n(j) = 4*j**2 + 3. Let y(b) = d*s(b) - 14*n(b). Give v(y(u)). -8*u**2 Let j(l) = 14*l. Let b(y) = -38*y. Give j(b(c)). -532*c Let x(b) = 3*b**2. Let q(g) = 4*g**2 - 3. Let d(f) = 7*f**2 - 5. Let s(c) = 3*d(c) - 5*q(c). What is x(s(z))? 3*z**4 Let u(a) = -2*a. Let z(c) = -39*c + 5 + 1 - 6. Calculate z(u(b)). 78*b Let n(o) = 2*o. Let r(u) = -88*u**2 + 32*u + 32. Let p(m) = 3*m. Let y be p(-1). Let t(f) = -8*f**2 + 3*f + 3. Let a(x) = y*r(x) + 32*t(x). Determine n(a(c)). 16*c**2 Let a(q) = -3*q. Let c(y) = 8*y**2 + 5*y**2 - 6*y**2 - 3*y**2. Determine c(a(l)). 36*l**2 Let d(f) be the third derivative of -f**7/504 + f**4/24 - 3*f**2. Let u(t) be the second derivative of d(t). Let c(s) = 2*s**2. What is c(u(o))? 50*o**4 Let o(r) = 7*r**2. Let n(a) = -25*a**2. Calculate n(o(b)). -1225*b**4 Let y(c) = -10*c. Let b(z) = 5*z + 2*z + z - 3*z. Determine b(y(q)). -50*q Let w(z) be the third derivative of z**5/15 + 11*z**4/24 + 5*z**2. Let j(n) = -2*n**2 - 6*n. Let v(a) = 11*j(a) + 6*w(a). Let c(l) = 2*l. What is v(c(b))? 8*b**2 Let c(h) = -12*h**2 + 4*h - 4. Let l(o) = 13*o**2 - 3*o + 3. Let r(p) = 3*c(p) + 4*l(p). Let k(s) = -2*s**2. Give k(r(d)). -512*d**4 Let c(p) be the second derivative of p**4/6 - p. Let a(b) = 6*b**2 + b**2 - 2*b**2 - b**2. Give c(a(h)). 32*h**4 Let t(k) = -10*k + 2. Let c(n) = 5*n. Calculate c(t(d)). -50*d + 10 Let m = 6 - 4. Let x(s) = -m - 4 + 6 + 3*s**2. Let k(z) = -6*z**2. Calculate x(k(u)). 108*u**4 Let o(n) = 2*n**2. Let m be 0 - ((-8)/3)/4. Let x(z) be the first derivative of -2 + 0*z + 0*z**2 - m*z**3. What is x(o(l))? -8*l**4 Let m(l) = -16*l. Let v(r) be the third derivative of -r**4/12 - 19*r**2 + 3. Give v(m(w)). 32*w Let w(z) = z. Let t(j) = -7*j**2 - 317. Calculate w(t(h)). -7*h**2 - 317 Let p(k) = 3*k + 118. Let v(m) = -2*m**2. Determine p(v(x)). -6*x**2 + 118 Let t(y) = -y. Let l(m) = 2*m**3 - m + 1. Let o be l(1). Let r be 4/4 + -1 + o. Let a(p) = r*p**2 + 0*p**2 + 2*p**2 - 6*p**2. Give a(t(u)). -2*u**2 Let t(n) be the first derivative of 1 + 0*n + 0*n**2 + 2/3*n**3. Let j(w) = -5*w. Calculate t(j(s)). 50*s**2 Let v(h) = 3*h. Let f(t) = -29*t. Determine f(v(y)). -87*y Let s(q) = 2*q**2. Let n(y) = 49*y**2 - 103*y**2 + 23*y**2. Calculate s(n(w)). 1922*w**4 Let y(p) = -2*p. Let g(u) be the third derivative of u**5/15 + u**4/3 - u**2. Let q(a) = -15*a + 6*a + 8*a. Let r(k) = g(k) + 8*q(k). Determine y(r(z)). -8*z**2 Let o(c) = -3*c**2. Let i(a) = 14 - 6*a - 14. Determine o(i(r)). -108*r**2 Let n(i) = 3*i**2 + 17. Let j(t) = -t**2 - 6. Let a(g) = -17*j(g) - 6*n(g). Let h(v) = -5*v. Calculate h(a(r)). 5*r**2 Let t(j) = -2*j**2. Let f(g) be the third derivative of -17*g**5/60 + 20*g**2. Give f(t(v)). -68*v**4 Let r(v) = 11*v - 19. Let q(b) = -3*b + 5. Let w(t) = 9*q(t) + 2*r(t). Let x(m) = 3*m - 4. Let p(g) = -4*w(g) - 7*x(g). Let s(d) = 2*d. Calculate s(p(z)). -2*z Let a(p) = -2*p. Let x(u) = -2339*u. Determine x(a(v)). 4678*v Let c(d) = -d**2. Let u(o) be the second derivative of o**3 + 6*o. Give c(u(z)). -36*z**2 Let f(m) = -3*m**2. Let b(h) be the second derivative of h**4/12 - h**3/6 + h**2/2 + 2*h. Let k(d) = 8*d**2 - 6*d + 6. Let j(x) = -6*b(x) + k(x). Give j(f(w)). 18*w**4 Suppose 0 = -3*x - 4*p + 9, -9 = -0*x - 3*x + p. Let f(y) = 0*y**2 + x*y**2 - 2*y**2. Let z(o) = 11*o**2. Determine f(z(a)). 121*a**4 Let a(m) = -5*m - 4. Let k(z) = -11*z - 9. Let f(c) = 9*a(c) - 4*k(c). Let i(v) = v**2 - 1. Let o(j) = -8*j**2 + 12. Let b(h) = 12*i(h) + o(h). What is f(b(p))? -4*p**2 Let i(m) be the first derivative of 2*m**3/3 + 3. Let h(p) = -10*p. Calculate i(h(s)). 200*s**2 Let p(k) = -k**2. Let z(b) = 136*b**2. Calculate p(z(w)). -18496*w**4 Let f(u) = -5*u**2. Let v(y) = 142*y. Determine v(f(s)). -710*s**2 Let g(f) = -90*f - 6. Let p(w) = -92*w - 5. Let t(j) = -5*g(j) + 6*p(j). Let m(q) = -q. Give t(m(z)). 102*z Suppose 2*o - 24 = 5*r, -2*o - 5*r - 12 = 2*o. Let w(s) = -s**o + s - 3*s + 2*s. Let p(d) be the third derivative of d**4/24 - d**2. Give p(w(t)). -t**2 Let o(m) be the first derivative of 1 - 2 - m**2 + 3. Let z(r) be the first derivative of r**3 - 1. Give z(o(l)). 12*l**2 Let q(s) = -17*s**2. Let x(b) = 35*b. Give x(q(m)). -595*m**2 Let d(o) = -5*o. Let y(x) = -8*x**2 - 90*x. Determine y(d(z)). -200*z**2 + 450*z Let h(j) = 4*j + 0*j - 5*j. Let q(p) = p + 1. Let s(f) = -4*f**2 + 2*f + 2. Let z(a) = 2*q(a) - s(a). Determine z(h(b)). 4*b**2 Let l(v) = 11*v**2 - 9*v**2 + 14*v**2. Let h(a) = 2*a. Determine l(h(w)). 64*w**2 Let m(v) = 435*v. Let q(h) = 3*h. Give q(m(o)). 1305*o Let a(x) = 3*x. Let d(r) = r**2 + 6*r + 5. Let i be d(-5). Suppose 4*q - 1 - 15 = 0. Let p(o) = 2*o + i*o - q*o. Calculate p(a(h)). -6*h Let t(p) be the second derivative of -p**4/6 + 4*p. Let i(a) be the second derivative of -a**4/3 - 2*a. Give i(t(l)). -16*l**4 Let c(h) = -3*h - 3*h + 4*h. Let x(b) be the second derivative of -b**6/360 + b**3/6 - 4*b. Let s(f) be the second derivative of x(f). Give c(s(q)). 2*q**2 Let j = 3 - 0. Let t(u) = j*u - 3*u - 3*u**2. Let r(y) = -5*y - 3. Let z(p) = -14*p - 8. Let i(b) = 8*r(b) - 3*z(b). What is i(t(l))? -6*l**2 Let v(f) = 8 - 8 + 11*f. Let w(g) = -10*g. Let m(h) = -5*v(h) - 6*w(h). Let z(n) = 2*n - 89 + 89. Calculate z(m(t)). 10*t Let u(v) be the first derivative of v**2/2 - 3. Let b(h) = -3*h**2. What is b(u(a))? -3*a**2 Let i(z) = -2*z**2. Let d(j) = -j**3 - 6*j**2 + 6*j - 5. Let s be d(-7). Let c(m) = s*m + 0*m - m + m. Determine i(c(q)). -8*q**2 Let r(x) = 3*x. Let b(n) be the second derivative of -n**4/24 + n**2 + 3*n. Let a(q) be the first derivative of b(q). What is a(r(z))? -3*z Let k(c) = 2*c**2 + 179 - 179. Let o(m) = 38*m. Calculate k(o(y)). 2888*y**2 Let m(l) = -2*l. Let h(a) be the first derivative of -a**3/6 - 3*a - 2. Let k(i) be the first derivative of h(i). Give k(m(d)). 2*d Let d(l) = -6*l - l + 4*l. Let h(w) = -8*w**2. Give d(h(r)). 24*r**2 Let b(s) = -2587*s**2. Let p(g) = g**2. What is p(b(d))? 6692569*d**4 Let v(a) = 64 - a - 32 - 32. Let t(h) = -40*h. Let z(p) = -13*p. Let g(j) = 6*t(j) - 17*z(j). Calculate v(g(l)). 19*l Let d(i) = -i**2 + 2 + 2 + 0*i**2. Let v(w) = w**2 - 5. Let h(z) = 5*d(z) + 4*v(z). Let q(g) be the third derivative of g**4/24 - 2*g**2. What is h(q(r))? -r**2 Let t(x) = 19*x. Let b(u) be the second derivative of u**3/3 - 6*u - 1. Give b(t(h)). 38*h Let b(i) = 2*i. Let r(s) = 17*s**2 + 1. What is b(r(f))? 34*f**2 + 2 Let j(k) = 17*k - 7*k - 12*k. Let n(q) = 24*q**2. Give j(n(d)). -48*d**2 Let x(m) = m**2. Let h(t) be the third derivative of 0*t + 0*t**4 - 1/20*t**5 - 3*t**2 + 0 + 0*t**3. What is h(x(f))? -3*f**4 Let r(j) = -262*j**2 - 1. Let y(t) = t**2. Calculate r(y(o)). -262*o**4 - 1 Let i(s) = s**2. Let u be (-2)/(-12) + 20/24. Let k be ((-4)/(-6))/2*3. Let d(m) = -u - m + k + 0*m. Determine d(i(v)). -v**2 Let y(p) = 3*p. Let v(x) = 27 - 12 - 15 + 5*x. Determine v(y(q)). 15*q Let x(k) be the second derivative of 0 + 1/6*k**3 + 0*k**2 + k. Let l(u) = 2*u + 7. Let g(w) = -w - 3. Let p(a) = -7*g(a) - 3*l(a). Determine p(x(d)). d Let g(n) = -2*n. Let m(j) = -j + 6. Let b(u) = -2*u + 13. Let y(o) = 6*b(o) - 13*m(o). Calculate g(y(v)). -2*v Let r(c) = 30*c**2. Let k(v) = 17*v. Determine k(r(h)). 510*h**2 Let c(t) = 6*t. Let r(n) be the second derivative of n**3/2 + 9*n - 2. What is c(r(s))? 18*s Let i(c) = 14698*c. Let h(g) = -g. Give h(i(n)). -14698*n Let b(r) = -37*r + 15*r + 21*r. Let d(o) = 12*o. What is d(b(u))? -12*u Let m(q) = 3333*q. Let c(s) = -s. What is m(c(b))? -3333*b Let x(m) = m**2. Let f(j) = -35*j**2. Let o(u) = f(u) + 30*x(u). Let a(w) = w. What is a(o(h))
{ "pile_set_name": "DM Mathematics" }
he remainder when 808 is divided by 15? 13 What is the remainder when 129 is divided by 9? 3 What is the remainder when 267 is divided by 47? 32 Calculate the remainder when 1469 is divided by 7. 6 Calculate the remainder when 922 is divided by 891. 31 What is the remainder when 4116 is divided by 10? 6 Calculate the remainder when 8356 is divided by 55. 51 What is the remainder when 360 is divided by 41? 32 Calculate the remainder when 681 is divided by 220. 21 What is the remainder when 299 is divided by 50? 49 Calculate the remainder when 145 is divided by 37. 34 Calculate the remainder when 2059 is divided by 138. 127 Calculate the remainder when 56 is divided by 22. 12 Calculate the remainder when 298 is divided by 148. 2 Calculate the remainder when 168 is divided by 57. 54 Calculate the remainder when 919 is divided by 22. 17 What is the remainder when 60 is divided by 6? 0 What is the remainder when 4675 is divided by 234? 229 What is the remainder when 105 is divided by 18? 15 Calculate the remainder when 2725 is divided by 27. 25 Calculate the remainder when 701 is divided by 11. 8 Calculate the remainder when 1372 is divided by 5. 2 Calculate the remainder when 428 is divided by 58. 22 Calculate the remainder when 4193 is divided by 5. 3 What is the remainder when 252 is divided by 128? 124 What is the remainder when 2869 is divided by 33? 31 Calculate the remainder when 303 is divided by 51. 48 What is the remainder when 8831 is divided by 95? 91 What is the remainder when 1496 is divided by 31? 8 What is the remainder when 81 is divided by 34? 13 What is the remainder when 238 is divided by 21? 7 Calculate the remainder when 5249 is divided by 13. 10 What is the remainder when 2351 is divided by 56? 55 Calculate the remainder when 67 is divided by 14. 11 What is the remainder when 250 is divided by 42? 40 What is the remainder when 6509 is divided by 148? 145 What is the remainder when 309 is divided by 24? 21 What is the remainder when 3254 is divided by 812? 6 Calculate the remainder when 33 is divided by 33. 0 Calculate the remainder when 639 is divided by 16. 15 What is the remainder when 38 is divided by 30? 8 Calculate the remainder when 237 is divided by 43. 22 Calculate the remainder when 95 is divided by 68. 27 What is the remainder when 111 is divided by 26? 7 Calculate the remainder when 37765 is divided by 46. 45 Calculate the remainder when 933 is divided by 78. 75 What is the remainder when 407 is divided by 82? 79 Calculate the remainder when 369 is divided by 154. 61 Calculate the remainder when 1077 is divided by 31. 23 What is the remainder when 470 is divided by 95? 90 Calculate the remainder when 1244 is divided by 115. 94 What is the remainder when 54 is divided by 9? 0 What is the remainder when 4717 is divided by 4? 1 What is the remainder when 485 is divided by 125? 110 Calculate the remainder when 17086 is divided by 33. 25 What is the remainder when 2166 is divided by 197? 196 Calculate the remainder when 33 is divided by 12. 9 What is the remainder when 264 is divided by 67? 63 What is the remainder when 2181 is divided by 21? 18 Calculate the remainder when 327 is divided by 56. 47 What is the remainder when 453 is divided by 216? 21 Calculate the remainder when 363 is divided by 35. 13 Calculate the remainder when 378 is divided by 19. 17 What is the remainder when 101 is divided by 84? 17 What is the remainder when 271 is divided by 153? 118 Calculate the remainder when 645 is divided by 162. 159 What is the remainder when 646 is divided by 558? 88 What is the remainder when 308 is divided by 21? 14 What is the remainder when 353 is divided by 59? 58 Calculate the remainder when 458 is divided by 453. 5 Calculate the remainder when 399 is divided by 122. 33 Calculate the remainder when 56 is divided by 45. 11 Calculate the remainder when 347 is divided by 59. 52 Calculate the remainder when 4744 is divided by 65. 64 What is the remainder when 29 is divided by 11? 7 Calculate the remainder when 989 is divided by 62. 59 Calculate the remainder when 2809 is divided by 21. 16 What is the remainder when 139 is divided by 40? 19 Calculate the remainder when 286 is divided by 18. 16 Calculate the remainder when 89 is divided by 30. 29 What is the remainder when 698 is divided by 69? 8 Calculate the remainder when 614 is divided by 44. 42 Calculate the remainder when 436 is divided by 52. 20 Calculate the remainder when 732 is divided by 241. 9 What is the remainder when 2285 is divided by 13? 10 Calculate the remainder when 310 is divided by 78. 76 What is the remainder when 1531 is divided by 510? 1 Calculate the remainder when 75 is divided by 4. 3 What is the remainder when 32 is divided by 21? 11 Calculate the remainder when 242 is divided by 121. 0 What is the remainder when 261 is divided by 88? 85 Calculate the remainder when 309 is divided by 26. 23 Calculate the remainder when 899 is divided by 30. 29 Calculate the remainder when 167 is divided by 43. 38 What is the remainder when 660 is divided by 173? 141 Calculate the remainder when 5401 is divided by 14. 11 What is the remainder when 25190 is divided by 47? 45 What is the remainder when 3188 is divided by 58? 56 Calculate the remainder when 267 is divided by 58. 35 Calculate the remainder when 1006 is divided by 299. 109 Calculate the remainder when 1915 is divided by 3. 1 What is the remainder when 763 is divided by 204? 151 Calculate the remainder when 34 is divided by 16. 2 What is the remainder when 273 is divided by 55? 53 Calculate the remainder when 1172 is divided by 17. 16 What is the remainder when 14 is divided by 6? 2 Calculate the remainder when 186 is divided by 22. 10 Calculate the remainder when 63 is divided by 16. 15 What is the remainder when 984 is divided by 954? 30 Calculate the remainder when 565 is divided by 25. 15 Calculate the remainder when 508 is divided by 64. 60 Calculate the remainder when 266 is divided by 34. 28 Calculate the remainder when 2526 is divided by 79. 77 Calculate the remainder when 119 is divided by 45. 29 What is the remainder when 131 is divided by 54? 23 Calculate the remainder when 20 is divided by 1. 0 What is the remainder when 867 is divided by 79? 77 Calculate the remainder when 31041 is divided by 4. 1 Calculate the remainder when 1512 is divided by 60. 12 Calculate the remainder when 5015 is divided by 88. 87 What is the remainder when 8623 is divided by 38? 35 What is the remainder when 42 is divided by 27? 15 Calculate the remainder when 261 is divided by 55. 41 Calculate the remainder when 625 is divided by 105. 100 What is the remainder when 177 is divided by 23? 16 What is the remainder when 104 is divided by 47? 10 Calculate the remainder when 1639 is divided by 33. 22 Calculate the remainder when 444 is divided by 154. 136 What is the remainder when 28 is divided by 8? 4 Calculate the remainder when 7890 is divided by 9. 6 Calculate the remainder when 2455 is divided by 124. 99 What is the remainder when 302 is divided by 16? 14 What is the remainder when 22 is divided by 8? 6 What is the remainder when 140 is divided by 40? 20 What is the remainder when 2 is divided by 2? 0 Calculate the remainder when 42 is divided by 9. 6 Calculate the remainder when 771 is divided by 12. 3 Calculate the remainder when 227 is divided by 23. 20 Calculate the remainder when 574 is divided by 102. 64 Calculate the remainder when 13247 is divided by 276. 275 Calculate the remainder when 42 is divided by 11. 9 Calculate the remainder when 313 is divided by 37. 17 What is the remainder when 371 is divided by 177? 17 What is the remainder when 2813 is divided by 400? 13 What is the remainder when 745 is divided by 47? 40 What is the remainder when 1239 is divided by 2? 1 What is the remainder when 694 is divided by 347? 0 Calculate the remainder when 324 is divided by 24. 12 What is the remainder when 1905 is divided by 381? 0 What is the remainder when 100 is divided by 44? 12 Calculate the remainder when 1019 is divided by 30. 29 What is the remainder when 138 is divided by 10? 8 Calculate the remainder when 243 is divided by 41. 38 Calculate the remainder when 111 is divided by 101. 10 Calculate
{ "pile_set_name": "DM Mathematics" }
sqrt(3))*-6)**2 - sqrt(3) - (sqrt(243)/sqrt(9) - sqrt(27))/sqrt(9)) + 3. 215*sqrt(3) + 435 Simplify -5*(sqrt(704) + sqrt(704) + 2)*-4*-5. -1600*sqrt(11) - 200 Simplify -5 + ((sqrt(500)*-1 + -3 + -5 + (sqrt(500) + 0 - sqrt(500)))**2 - 1*(sqrt(500) - (sqrt(500) - (sqrt(500) + -1 + sqrt(500))**2)*6)). -11447 + 450*sqrt(5) Simplify ((sqrt(150)/sqrt(3))/sqrt(5))/sqrt(5) + sqrt(24)/(sqrt(3) + sqrt(3) + sqrt(12)/sqrt(4)). 5*sqrt(2)/3 Simplify sqrt(24)/(sqrt(16)/sqrt(2)*-3) + ((4 + -3*sqrt(3))*4)**2. -1153*sqrt(3)/3 + 688 Simplify 1 + ((2 + sqrt(243) + -3 - sqrt(243)) + -3*sqrt(243)*6)**2. 324*sqrt(3) + 78734 Simplify (-3*(2 + (sqrt(51)/sqrt(3) - sqrt(17)) - (0 + sqrt(17) + sqrt(51)/sqrt(3))))**2. -72*sqrt(17) + 648 Simplify (-2*(-5 + sqrt(176) + (sqrt(176) + 0)*5 + sqrt(176))*-6 + 2)**2. -38976*sqrt(11) + 1245220 Simplify (0 + (sqrt(1872) + (sqrt(1872) - (0 + sqrt(1872))*5) + sqrt(1872))*2*-3)**2. 269568 Simplify (sqrt(1331) + -6*-4*sqrt(1331) - (sqrt(1331) - (-4 + (sqrt(1331) - (sqrt(1331) + 3)))))**2*3 + -1. -11088*sqrt(11) + 2300114 Simplify (-2*sqrt(78)*3 + -2*-1*sqrt(78))/((-3*sqrt(378))/sqrt(7)). 4*sqrt(13)/9 Simplify -1 + (sqrt(102)/sqrt(6) + -3 - sqrt(17)) + (-3*sqrt(17) + 3)**2. -18*sqrt(17) + 158 Simplify (sqrt(2178) + sqrt(2178)*1)/(sqrt(99)/(sqrt(33)/sqrt(3)))*-1. -22*sqrt(2) Simplify 4 + (3*(1 + -2 + (sqrt(13) - sqrt(13)*2) + sqrt(13))*4)**2. 148 Simplify ((4*sqrt(468)*1 - sqrt(468) - (1 + sqrt(468) + 2)) + -3)*-5. -60*sqrt(13) + 30 Simplify (3*-3*((sqrt(800) - 2*sqrt(800)) + sqrt(800) - sqrt(800)))**2*-1. -64800 Simplify 3 + -4 + ((1*sqrt(114) - sqrt(114))*2)/(sqrt(6) + (2*sqrt(18) + sqrt(18))/sqrt(3)). -1 Simplify 1 + (-5 + (sqrt(228)*1 - sqrt(228) - sqrt(228))/sqrt(12)*-6)**2. -60*sqrt(19) + 710 Simplify -4*(-4 + sqrt(343) + (1 + sqrt(343))**2 + sqrt(343)) + (sqrt(343) + sqrt(343) + -2 + -4 - (2 + sqrt(343))*1)**2. -953 - 224*sqrt(7) Simplify ((sqrt(144)*-1)/sqrt(2))/((sqrt(384)/(sqrt(8) - sqrt(8)*2 - sqrt(8)))/sqrt(12)). 6*sqrt(2) Simplify (sqrt(275)*-2 + sqrt(176) + 5 - (5 + sqrt(176)/sqrt(4)))**2. 704 Simplify 1*(1 + sqrt(2))*-6 + (sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80)*1 - sqrt(80)) - sqrt(80))))/sqrt(10). -6 Simplify (-3 + (-1 + sqrt(243)*2)*-1)**2. 72*sqrt(3) + 976 Simplify (6*5*(-3*-2*sqrt(13) + -2) + -4)**2. -23040*sqrt(13) + 425296 Simplify ((0 + sqrt(76) + sqrt(76) - -2*sqrt(1539)) + 1*(sqrt(931) + -1))**2. -58*sqrt(19) + 15980 Simplify ((-4*(sqrt(1408) - sqrt(22) - sqrt(22)))/(sqrt(704) + sqrt(704)*2)*-3)**2. 18 Simplify (2*sqrt(33)*-2)/sqrt(11) - (sqrt(192) - (sqrt(192) + 1))*6. -4*sqrt(3) + 6 Simplify (sqrt(36)/(sqrt(1200)*-3 - sqrt(1200)) - (sqrt(3) - 4*2*sqrt(3) - 1*sqrt(3)*6))**2. 808083/1600 Simplify (3*(-1 + (-6*sqrt(343)*-2 - sqrt(343)))*-4)**2. -22176*sqrt(7) + 5976576 Simplify (3*3*sqrt(133) + sqrt(133))/(sqrt(42)/sqrt(54)). 30*sqrt(19) Simplify (3*(-6*sqrt(1539) + sqrt(1539)))**2 + sqrt(38)/(sqrt(320)/sqrt(10)). sqrt(19)/4 + 346275 Simplify (6*((-1*sqrt(1100) - sqrt(1100) - (sqrt(11) + -1 + sqrt(11))*-1) + 1*-2*(1*sqrt(11) + sqrt(11))))**2. 1584*sqrt(11) + 191700 Simplify 6*(2 + sqrt(243) - (sqrt(3)*-1 + 0)**2). -6 + 54*sqrt(3) Simplify (((sqrt(833) + 1)*-6 - (1 + sqrt(68))*-3) + 1 + -1)**2. 216*sqrt(17) + 22041 Simplify 0 + (-4 + (sqrt(208)*-1)**2 + (sqrt(208) - 1*(2*sqrt(208))**2))*-5. -20*sqrt(13) + 3140 Simplify 1 + (sqrt(1088) + -1 + (-1*sqrt(1088) - sqrt(1088)) - ((sqrt(1088)*-1 - sqrt(1088)) + 0))**2. -16*sqrt(17) + 1090 Simplify (1*(-2*sqrt(245))**2 - (3 + (1*sqrt(245))**2)) + ((sqrt(20) + sqrt(80)*-1)/(sqrt(144)*-1))**2. 26357/36 Simplify (-1*sqrt(378)/sqrt(9))/(3*sqrt(486))*3. -sqrt(7)/9 Simplify (6*(sqrt(90) + sqrt(90) + 1*sqrt(90) - sqrt(90))/sqrt(5))/(sqrt(90)/(-2*sqrt(10))*1). -24*sqrt(2) Simplify (2 + 2*sqrt(1300) + sqrt(65)/sqrt(45))**2 + -1 + 5. 244*sqrt(13)/3 + 48445/9 Simplify ((1 + sqrt(500))**2 + -4)*3 + -2. 60*sqrt(5) + 1489 Simplify ((sqrt(13) + sqrt(143)/(sqrt(44)/sqrt(4)))**2 - ((sqrt(13) + (sqrt(65)/sqrt(5) + 1 - sqrt(13)))**2 + sqrt(13)))*-4 + 1. -151 + 12*sqrt(13) Simplify -1*(sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) - -2*sqrt(136)*-1))))/(sqrt(40)/sqrt(5)*-4). sqrt(17)/2 Simplify ((sqrt(2187) + sqrt(2187)*1)*1)/(sqrt(36)/(5*(sqrt(4) + sqrt(36)))). 360*sqrt(3) Simplify (5 + sqrt(19) + sqrt(19) + 2 + sqrt(19) + (2*sqrt(76))**2)*-2 + 4. -618 - 6*sqrt(19) Simplify ((sqrt(121) - (-5*sqrt(121)*1 + sqrt(121))) + 2*sqrt(121)*3)/(1*(sqrt(891) - (sqrt(891) + sqrt(891)*1 + sqrt(891)))). -11*sqrt(11)/18 Simplify (-1*sqrt(102)*-1 + sqrt(102) + sqrt(102) + sqrt(102) - (sqrt(102) + -2*sqrt(102))*-3)/(-1*(1*sqrt(864) + sqrt(864))). -sqrt(17)/24 Simplify (-4*sqrt(1536) - sqrt(24))/((sqrt(8) + sqrt(56)/sqrt(7))*-4 - sqrt(8))*-4. -44*sqrt(3)/3 Simplify (((-1 + sqrt(243) - 1*sqrt(363)) + -1)*-5)**2. 200*sqrt(3) + 400 Simplify ((sqrt(196)/(sqrt(28)/sqrt(4)) + sqrt(56)/sqrt(2)*-4)/(2*(sqrt(4) + sqrt(448)/sqrt(7))))**2. 63/100 Simplify 5*((2 + sqrt(13))**2 + sqrt(13)) + -3 + (sqrt(325) + 1*sqrt(325))**2 + -4. 25*sqrt(13) + 1378 Simplify (-4 + -2*(-2*sqrt(500) + sqrt(20) + 3))**2. -720*sqrt(5) + 6580 Simplify (-4*(sqrt(65)*1 + sqrt(65))*5)/(sqrt(80)*3 - (sqrt(720) - 1*sqrt(720))). -10*sqrt(13)/3 Simplify (3*(sqrt(66) + sqrt(66)*2) + (-1*(sqrt(66) + sqrt(66)*2) - sqrt(66)))/((sqrt(66) + sqrt(66)*-2*2 + sqrt(66))/sqrt(11)). -5*sqrt(11)/2 Simplify (sqrt(76) - (1 + sqrt(76))**2*4 - sqrt(76)) + sqrt(76) + 2 - ((sqrt(76) - (4 + sqrt(76) + 2 + sqrt(76))) + 0)**2. -418 - 38*sqrt(19) Simplify (sqrt(189)/(sqrt(15)/(-5*sqrt(5))))**2*4. 6300 Simplify -3 + (sqrt(832)*2)**2 - (-1*sqrt(117)*2 - sqrt(117))/(sqrt(81)*5). sqrt(13)/5 + 3325 Simplify (2*sqrt(133)*-6)/(sqrt(175) + (sqrt(175)*5 - sqrt(175))). -12*sqrt(19)/25 Simplify 4*(sqrt(153) + -2 + 0 - (sqrt(153) + 0 + -3)). 4 Simplify (sqrt(1512)*-3)/(sqrt(150)*-3 + sqrt(150)). 9*sqrt(7)/5 Simplify (sqrt(50) + sqrt(450)/sqrt(36))/sqrt(10) - (-5 + sqrt(5)*-2*-1). -sqrt(5)/2 + 5 Simplify (sqrt(627)/(sqrt(33)/sqrt(3)) - ((-2*sqrt(228) - sqrt(228))/sqrt(4) - sqrt(57)))/(-2*sqrt(243) + sqrt(3) + (sqrt(108)/sqrt(4))/sqrt(9)). -5*sqrt(19)/16 Simplify (((-1 + sqrt(343))*-2 + 5*(1 + sqrt(343)))*4*-6)**2. 169344*sqrt(7) + 1806336 Simplify (2*sqrt(77)*6 + ((sqrt(77) - 1*sqrt(77))*-6 + sqrt(77) - sqrt(77)))/(sqrt(121)/(sqrt(11)*-2)*4). -6*sqrt(7) Simplify (5*(sqrt(77)*-3 + sqrt(77))*-1)/((sqrt(2401)*-6)/sqrt(7)). -5*sqrt(11)/21 Simplify -4*(((1*(sqrt(133) + (sqrt(133) + -2*sqrt(133) - sqrt(133) - sqrt(133))) + sqrt(133) - sqrt(133)) + sqrt(133))/(sqrt(77)/(sqrt(33)/sqrt(3))) + -1). 4 + 4*sqrt(19) Simplify (sqrt(2352) + (sqrt(2352) - (1 + sqrt(2352))*-5) + sqrt(2352)*-1 + 4 + 3)**2. 4032*sqrt(3) + 84816 Simplify 5 + -2 + ((sqrt(114) + 1*sqrt(114) - sqrt(114))*-2)/(2*sqrt(726) + sqrt(6) + sqrt(6)). -sqrt(19)/12 + 3 Simplify -3*(sqrt(7)*3 + -4)**2 + -5*(sqrt(7) + (sqrt(42)*-3)/sqrt(6))**2. -377 + 72*sqrt(7) Simplify (-5*(3 + sqrt(1088)*-2))**2 - 4*(sqrt(833) + (sqrt(833) + (sqrt(833) - (sqrt(833) + 0)))*-3). -2344*sqrt(17) + 109025 Simplify ((sqrt(50) + 1)*-1)**2 + (-4 + sqrt(128) + 2*sqrt(128) + sqrt(128) + sqrt(128) - sqrt(128))**2. -246*sqrt(2) + 2115 Simplify (3 + 1 + sqrt(1377) - sqrt(1377))**2 + (sqrt(51)/sqrt(27))**2 + 1. 170/9 Simplify (-5 + sqrt(98)*-1 + -5 - 2*(sqrt(98) + 1 + 2 - sqrt(98)))**2. 224*sqrt(2) + 354 Simplify ((-2 + sqrt(98)*1*5 + 5 + (sqrt(98) + 0 - sqrt(98) - sqrt(98)))*1)**2. 168*sqrt(2) + 1577 Simplify ((sqrt(66)*2 - sqrt(66))*-6 - 2*(sqrt(66) + sqrt(66)*-2 + sqrt(66)))/(sqrt(60)/sqrt(250) - (-2*sqrt(30))/sqrt(5)). -30*sqrt(11)/11 Simplify (-5*sqrt(42)/sqrt(2)*3)/(-4*(sqrt(84)/sqrt(3))/sqrt(4)) + 4. 4 + 15*sqrt(3)/4 Simplify 2*(((sqrt(68) - (sqrt(68) - (0 + sqrt(68))))*3 + -5)*-5)**2. -3000*sqrt(17) + 31850 Simplify ((sqrt(175) - 1*sqrt(175)*-3) + -2*(sqrt(175) - (sqrt(175) + (sqrt(175) - (sqrt(175) + 0)))) + -4 + (sqrt(175)*2 - sqrt(175)) + 1)**2. -150*sqrt(7) + 4384 Simplify (-2 + 1*((sqrt(304) - (sqrt(304) - (sqrt(304) - (sqrt(304) + -1*sqrt(304))))) + 4) + 2)**2. 32*sqrt(19) + 320 Simplify (1*(-3*sqrt(117) - sqrt(117)))/(sqrt(576)/sqrt(4))*-6. 6*sqrt(13) Simplify ((sqrt(119) + -1*sqrt(119) - sqrt(119))*-3 - (-1*sqrt(119) + sqrt(119) + sqrt(119))*5)/((sqrt(567)*-2 - sqrt(567))*3). 2*sqrt(17)/81 Simplify -4*((sqrt(2400) - sqrt(240
{ "pile_set_name": "DM Mathematics" }
+ 911.293. What is o rounded to the nearest 10? 60 Let g = -0.525 - 222.175. Round g to the nearest ten. -220 Let o(c) = 417*c**3 + 11*c**2 - 13*c - 4. Let s be o(12). Suppose 242*j - s = 241*j. Round j to the nearest one hundred thousand. 700000 Let p = -56.16 - 861.24. What is p rounded to the nearest ten? -920 Let m = 272.7 - 272.7000028082. Round m to 7 decimal places. -0.0000028 Let g = 250388.357 + -250913. Let c = -525 - g. What is c rounded to 1 dp? -0.4 Let w = 237 - 291. Let r = w - -50.275. What is r rounded to the nearest integer? -4 Let y = 49475.014867 + -49991.91484373. Let a = y - -516.9. Round a to five decimal places. 0.00002 Let l = -7545.0608 - -7703.1. Let q = l + -158. What is q rounded to two dps? 0.04 Suppose -40*u - 432450 = -46*u. Suppose -198725 - u = 2*a. What is a rounded to the nearest ten thousand? -140000 Let h = -102 + 102.05. Let w = h + -0.057. Let u = w + -0.022. What is u rounded to 2 dps? -0.03 Let t = -3466 - -3465.946. Let s = 0.295 - 0.561. Let u = t - s. What is u rounded to two decimal places? 0.21 Let c = -142 - -197.5. Let s = c - 55.49716. What is s rounded to four dps? 0.0028 Let u = -2631 + 3726. Let j be ((-2)/1)/(2 - 2193/u). What is j rounded to the nearest 100? 700 Let m(t) = 16400002*t + 2. Suppose 5*k - 5*y - 3 = -13, -3*y = 3*k. Let c be m(k). What is c rounded to the nearest 1000000? -16000000 Let q be (1 - (-26)/(-14))/(10/(-35)). Suppose d - 76636 = 4*a + 2247359, q*a + 2*d + 1743010 = 0. What is a rounded to the nearest 10000? -580000 Suppose 16*z - 98382846 = 391537154. Round z to the nearest one million. 31000000 Let n = 444466300514 - 444466298372.99998481. Let r = n + -2141. Round r to six decimal places. 0.000015 Let u(y) = -58*y**2 - 50*y + 35. Let i be u(-7). Round i to the nearest 100. -2500 Let c = -10295.9999981418 + 10296. Round c to 7 decimal places. 0.0000019 Let u be 5 + (-35151 - -2 - 2). Let c = -76546 - u. Round c to the nearest ten thousand. -40000 Let a = -5.405 + 5.36. Let t = 0.044096 + a. Round t to four decimal places. -0.0009 Let h = 0 + 16. Let a be 12/h*1004/3. What is a rounded to the nearest 10? 250 Let z = 58.3 + -61.79. Let l = -161.51 + z. Let h = l - -164.07. Round h to 1 dp. -0.9 Let o = -11487.83 + 11362. Round o to the nearest 10. -130 Let h = -7053 - -4384.3. What is h rounded to the nearest one hundred? -2700 Let n be (1/((-15)/(-475)))/((-2)/6). Let k = n - -179. Let i = k + -4. Round i to the nearest 100. 100 Let b = 294.61 - 293.4117. What is b rounded to two decimal places? 1.2 Let v = -6536743 - -13194350. Let q = v + -1897523. Let c = q - 2260084. Round c to the nearest one million. 3000000 Let w = -415.3 + 6.3. Let n = -100114.63 + 100522. Let z = w + n. Round z to 1 dp. -1.6 Let g = 4784.9 + 2.1. Let n = g + -4426.9. Let y = 379 - n. Round y to 0 dps. 19 Let n = 257 - 834. Let r = 577.000000784 + n. Round r to seven decimal places. 0.0000008 Let o = 0.0629 - -0.06054. Round o to three decimal places. 0.123 Let n = 41862.86 + -42701. Let p = -831 - n. Round p to zero dps. 7 Let n(c) = 1348*c**3 + 8*c**2 + 21*c + 6. Suppose 4*w - 34 + 2 = 0. Suppose w = 5*o + 38. Let g be n(o). What is g rounded to the nearest 10000? -290000 Let s(u) = u**2 - 28*u - 385. Let f be s(43). Suppose -k + 55 = -75. Let c = k + f. What is c rounded to the nearest 1000? 0 Let d = -1.2644 - -1418.0644. Round d to the nearest ten. 1420 Let b = -80875.4 + 71349. Round b to the nearest one hundred. -9500 Let g(a) be the first derivative of 59*a**2 + 12*a - 16. Let m be g(-2). Let p = 28 + m. What is p rounded to the nearest 10? -200 Let j = -33983 + 33542.98. Let t = j + 435. What is t rounded to the nearest integer? -5 Let r = -22.005 - 1.365. Round r to zero dps. -23 Let p = -966.1873 + 0.1873. Let s = -966.03715 - p. Round s to 3 decimal places. -0.037 Let f = -5565 + 9879. Let x = 6164 - f. Suppose -34*n = -39*n + x. Round n to the nearest one hundred. 400 Let w = -19.498792 - 0.083408. Round w to the nearest integer. -20 Suppose -1061*b + 1066*b - 182475018 = -2*q, -5*q = 2*b - 72990045. Round b to the nearest one hundred thousand. 36500000 Let d = -261 - -296. Let b = d + -25.99. What is b rounded to one dp? 9 Let m = -18138 + 17791.42. What is m rounded to the nearest 100? -300 Suppose 0 = 8*y + y - 27. Suppose 64025 = -y*v - 37153. Let c = -22426 - v. Round c to the nearest one thousand. 11000 Let w(m) = 47*m**2 + 174*m + 596. Let z be w(47). What is z rounded to the nearest ten thousand? 110000 Let w = 2693.9 + 864.1. Let h = -3557.997727 + w. What is h rounded to 4 dps? 0.0023 Let w = 265369 + 2202931. Round w to the nearest 100000. 2500000 Let a = 207 + -413. Let b = a + 205.999997675. Round b to seven dps. -0.0000023 Let q = -1402.9 + 1402.905689. What is q rounded to four dps? 0.0057 Let i = 2349.997981 + -2350. What is i rounded to three decimal places? -0.002 Let a = 955 + -561. Let p = 393.9999632 - a. What is p rounded to five decimal places? -0.00004 Let n(k) = 4*k**2 + 8*k - 5. Let y be n(-4). Suppose 20*b = y*b + 476. Round b to 0 decimal places. -68 Let u = -328.39 - 9.21. Let k = u - -377. What is k rounded to zero decimal places? 39 Let j(m) = -223*m**3 - 3*m**2 + 2. Let x be j(-1). Let w = x + 518. Round w to the nearest one hundred. 700 Let f = 0.416 + -0.4034. Let b = f + -0.3036. What is b rounded to 2 dps? -0.29 Let j = -20.8397 - -20.714071. Let l = -156.875 - -157. Let s = l + j. What is s rounded to 5 decimal places? -0.00063 Let x = -0.25481289 + 2887.01821289. Let w = x + -2887. What is w rounded to 2 decimal places? -0.24 Let l = -0.20629 + -0.58199. What is l rounded to one decimal place? -0.8 Let f = -3854 - -3856.8875. Round f to two decimal places. 2.89 Let x = -48.264 + 39.0042. Let n = 0.2102 - x. Round n to 1 dp. 9.5 Suppose -3*g = 3*d + 127116, 8*d + 4*g + 301067 = -37945. Round d to the nearest one hundred. -42400 Let f = 25502.99916075 + -25503. Round f to 6 dps. -0.000839 Let h = -7656 - -7600.288. What is h rounded to one decimal place? -55.7 Let d = -28603 - -28601.8146. Round d to one dp. -1.2 Let s = -1123.731 - -1123. Round s to one decimal place. -0.7 Let c = 2867.494 - 2930. What is c rounded to the nearest 10? -60 Let f = 1675.87736 - 2712.88459. Let w = -1.042 - 1035.958. Let p = f - w. Round p to 3 decimal places. -0.007 Let y = -2086.32 + 2076.5113. Let c = -26 + 16.2. Let p = y - c. What is p rounded to two decimal places? -0.01 Let z = -0.7886 - -0.78855211. What is z rounded to 6 decimal places? -0.000048 Let l(m) = -7 - 40*m**3 - 4*m + 23*m**3 + 5 - 61*m**3. Let d be l(-2). What is d rounded to the nearest one hundred? 600 Let d(k) = -2*k**3 - 10*k**2 - 20*k + 20. Let o be d(-18). Suppose -106 - o = 18*p. What is p rounded to the nearest one thousand? 0 Suppose 0*n - 33 = -11*n. Suppose 4*t + 2102992 = -n*s, -3*s + 15*t - 13*t = 2103004. What is s rounded to the nearest one hundred thousand? -700000 Let x = 9994 - 9992.2021. Round x to 1 dp. 1.8 Let k = -1502574.3998 + 1502425. Let f = 155.1 + k. Let p = 5.7 - f. What is p rounded to five dps? -0.0002 Let a = 18333.751 - 18346. Let u = a - -12.4. Let c = 0.15161 - u. What is c rounded to four dps? 0.0006 Let p(f) = -f**3 + f**2 + 11*f - 18. Let l be p(2). Suppose l = -116*k + 105*k + 668800. What is k rounded to the nearest ten thousand? 60000 Let n = 0.168 - -161.832. Let m = 188.9 - n. What is m rounded to zero dps? 27 Suppose 10*h - 260 = 7*h - 5*a, 5*h + 5*a - 430 = 0. Suppose -57200 = h*o - 86*o. What is o rounded to the nearest ten thousand? 60000 Let b be -2*(-1)/2 + (11941 - -2). Let o = b - 7083. Suppose 9*c = -9089 - o. What is c rounded to the nearest one hundred? -1600 Let i = 80980.67320905 + 23150.23379136. Let v = i + -104130.9. Let b = 0.007 - v. Round b to seven dps. -0.0000004 Let b be (3 - 2)*-1*2. Let j be ((-8)/4)/(b/19). Let p = j - 18. What is p rounded to the nearest 10? 0 Let t = 456.129 - 456. Let u = 21.629 - t. What is u rounded to the nearest integer? 22 Let m = 4781 - 4514.1. Let r = m - 267. What is r rounded to the nearest integer? 0 Suppose 0 = 18*n - 14*n - 12. Suppose 3*q - k + 587004 = 4*q, -1760984 = -n*q + 4*k. What is q rounded to the nearest 100000? 600000 Let o(y) = -2 - 9 - 32 + 3870014*y + 1. Let s be o(3). What is
{ "pile_set_name": "DM Mathematics" }
-14*t**2 - 92 - 51 - 164*t**2 wrt t. -356*t Find the third derivative of -348*l**3 - 4*l + 4*l + 248*l**2 + 402*l**2 + 0*l wrt l. -2088 What is the derivative of 28*v**4 - v + 66*v**4 - 79*v**4 + 47 wrt v? 60*v**3 - 1 Find the third derivative of -35*n**5 + 103*n**2 - 7 + 25*n**5 + 4 - 5*n**4 + 3 wrt n. -600*n**2 - 120*n Let w(u) be the second derivative of 0*u**3 + 9/2*u**2 + 0 + 12*u - 1/20*u**5 + 0*u**4. Differentiate w(i) wrt i. -3*i**2 Suppose 0 = -5*q + 2*g + 85, 2*g + 13 = 3. What is the third derivative of -451*u + 451*u - 11*u**2 + q*u**3 wrt u? 90 Let s(r) = -r**2 + 8*r + 4. Let c be 3/3 - (-21)/3. Let m be s(c). What is the derivative of 5 + a - 4 - m wrt a? 1 What is the derivative of 206 + 355*c**2 - 50 - 6*c + 6*c + 108 wrt c? 710*c Let x(z) be the first derivative of -z**9/504 - z**5/6 - 5*z**2 - 2. Let u(v) be the second derivative of x(v). Find the third derivative of u(w) wrt w. -120*w**3 What is the third derivative of -6*u + 456*u**2 - 477*u**4 - 2*u**3 + 4*u - 342*u**2 wrt u? -11448*u - 12 Let b(y) be the second derivative of 37*y**7/21 - y**5/20 + 17*y**3/6 + 15*y**2/2 + 927*y. Find the second derivative of b(j) wrt j. 1480*j**3 - 6*j Differentiate -121*x - 153*x + 17 + 100*x + 222 - 127*x wrt x. -301 Let r = -96 + 130. Find the third derivative of r*o**2 - 2*o**3 + 21*o**3 + o**3 wrt o. 120 Let p(j) be the first derivative of 140*j**3 + 222*j - 723. What is the first derivative of p(a) wrt a? 840*a Suppose 0 = -i + 4*a - 21, 26 = -2*i + 5*a - 1. Let n be (i + -11)*(-10)/30. What is the second derivative of 64 - 64 - n*s - 3*s**3 wrt s? -18*s Let x(t) = t**2 - 17*t + 18. Let b be x(16). Find the second derivative of -r - 877*r**2 + 11*r**5 + 877*r**b wrt r. 220*r**3 Let u be 5 + -1 + -2 - -6. Suppose 0 = -2*c - u + 2, -2*v - 4 = 4*c. What is the derivative of 5*h**3 + 10 - 5*h**3 - 6*h**v - 4 wrt h? -24*h**3 Let c(u) = 150*u + 60. Let b(m) = -75*m - 29. Let n(h) = 13*b(h) + 6*c(h). What is the derivative of n(a) wrt a? -75 Let u = -24 - -23. Let k(m) = 9*m**5 + 9*m**4 + 3*m + 9. Let l(d) = -d**4 + d - 1. Let x(z) = u*k(z) - 9*l(z). Find the second derivative of x(g) wrt g. -180*g**3 Let m be ((-16)/14)/((-204)/714). Let u(q) be the second derivative of -1/2*q**3 + 0*q**2 + 0 + 1/6*q**m + q. What is the second derivative of u(a) wrt a? 4 Let t(k) be the third derivative of 13*k**8/16 + k**4/24 - 19*k**3 - 189*k**2 - k. Find the second derivative of t(y) wrt y. 5460*y**3 Suppose 3*l - 41 - 46 = 0. Suppose l*w - 28*w = 4. Find the first derivative of w*z - 5*z - 4 + 14 - 10*z wrt z. -11 Let r(f) be the second derivative of -f**7/70 + 29*f**6/360 - f**3/3 - 20*f. Let g(c) be the second derivative of r(c). Find the third derivative of g(y) wrt y. -72 Let l(u) be the second derivative of -4*u**5/15 + 37*u**3/6 + 6*u**2 + 11*u. Let o(x) be the first derivative of l(x). Differentiate o(y) with respect to y. -32*y Let b(a) be the first derivative of -52*a**2 + 238*a - 245. Differentiate b(g) with respect to g. -104 Let i(t) be the first derivative of 3*t**3 + 0*t**2 + 0*t**4 + 0*t + 7 + 0*t**5 + 4/3*t**6. What is the third derivative of i(b) wrt b? 480*b**2 Let z(j) be the first derivative of -83*j**5/5 + 121*j**3/3 + 34. What is the third derivative of z(r) wrt r? -1992*r Let z(c) = -81*c**2 - 5*c + 78. Let y(i) = i**2 - i - 1. Let m(b) = 5*y(b) - z(b). What is the derivative of m(t) wrt t? 172*t Let a(v) = -243*v**3 - 352*v - 16. Let j(x) = -487*x**3 - 703*x - 28. Let i(p) = -7*a(p) + 4*j(p). What is the second derivative of i(s) wrt s? -1482*s Let x(n) be the second derivative of -n**7/210 + 7*n**4/8 - 8*n**2 + 15*n. Let o(g) be the first derivative of x(g). Find the second derivative of o(y) wrt y. -12*y**2 Let w(k) be the first derivative of k**8/210 - 7*k**6/360 + 11*k**3/3 + 1. Let p(t) be the third derivative of w(t). What is the third derivative of p(m) wrt m? 192*m Let v(g) be the second derivative of 31*g**5/20 + g**4/6 - g**3/3 - 15*g**2/2 - 36*g. Let j(c) = c**2 - c. Let s(x) = -2*j(x) + v(x). Differentiate s(o) wrt o. 93*o**2 Let z(o) be the third derivative of 17*o**7/210 + 11*o**3 + 86*o**2. What is the first derivative of z(a) wrt a? 68*a**3 Let k(b) be the first derivative of -171*b**4/4 - 8*b**3/3 + 24*b - 303. Find the third derivative of k(n) wrt n. -1026 Let r(z) be the second derivative of 41*z**8/14 - 155*z**4/4 + 5*z - 2. What is the third derivative of r(o) wrt o? 19680*o**3 Let p(u) = -u**2 + u. Let f be p(-2). Let h = 9 + f. Find the third derivative of -5*x**h - 3*x**2 + 7*x**2 - x + x wrt x. -30 Let w(t) = -4*t**4 - 8*t**3 - 8*t**2 + 39*t + 1088. Let a(l) = -2*l**4 - 3*l**3 - 3*l**2 + 13*l + 363. Let j(s) = 8*a(s) - 3*w(s). Differentiate j(z) wrt z. -16*z**3 - 13 Let v(w) = 29*w**2 + 8*w - 90. Let x(q) = -31*q**2 - 7*q + 90. Let f(u) = 5*v(u) + 6*x(u). What is the derivative of f(i) wrt i? -82*i - 2 Let k(d) = d**2 - 3*d + 1. Let t be k(6). What is the second derivative of n**4 + 209*n - 196*n + t*n**5 - n**4 wrt n? 380*n**3 Let o(n) = 8*n**3 + 6*n**2 + 9*n. Let p(i) be the first derivative of i**3/3 + 8. Let u(w) = o(w) - 6*p(w). What is the second derivative of u(v) wrt v? 48*v Suppose -4*v + 42 = 10. What is the second derivative of 9*g**5 - 21*g**5 + v*g**5 + 4*g wrt g? -80*g**3 Let m be (4/3)/((-2)/(-9)*3). Let r(i) be the second derivative of 5*i + 1/4*i**4 + 0*i**3 - 1/2*i**m + 0. Differentiate r(s) wrt s. 6*s Let u(b) be the third derivative of 11*b**8/112 + 35*b**4/12 + 56*b**2. Find the second derivative of u(x) wrt x. 660*x**3 Let i(k) be the third derivative of -2*k**7/7 + k**5/60 - 13*k**4/4 + 92*k**2 - k. Find the second derivative of i(y) wrt y. -720*y**2 + 2 What is the third derivative of -k + 2*k**5 + 2*k**4 + 3*k**2 + 91*k**5 - 13*k**5 wrt k? 4800*k**2 + 48*k Let c be (-1)/((4 - 0)/(-16)). What is the second derivative of -15*k - 2*k**c - 9*k + 15*k wrt k? -24*k**2 Let k be (-1)/(((-6)/9)/(-2)) - -6. What is the second derivative of -22*g + 7*g**3 + 25*g**k + 5*g - 11*g wrt g? 192*g Let p(d) = d**6 + d**4 - 2. Let z(h) = 14*h**6 - h**5 + 9*h**4 + 50*h**2 - 18. Let r(s) = -18*p(s) + 2*z(s). What is the third derivative of r(m) wrt m? 1200*m**3 - 120*m**2 Let x = 76 - 45. Let f = -27 + x. What is the second derivative of 11*k**4 - 7*k + 0*k**4 + 0*k**f wrt k? 132*k**2 Let c(a) = 15*a**5 - a**3 - 3*a**2 - 27*a - 1. Let z(u) = 2*u**3 + u**2 + 1. Let r(f) = c(f) + 3*z(f). Find the second derivative of r(b) wrt b. 300*b**3 + 30*b Let z(i) = -3*i + 15. Let h be z(5). What is the derivative of -14*y**2 - 3 - 10 + 3 + h wrt y? -28*y Let c(z) = 14*z + 132. Let g be c(-9). Let t(v) be the first derivative of 5/3*v**3 + g + 4*v**2 + 0*v. Find the second derivative of t(l) wrt l. 10 Let o(t) be the second derivative of 187*t**4/6 - 239*t**3/6 + 2*t + 189. Find the second derivative of o(u) wrt u. 748 Find the second derivative of 18*r**3 + 24*r**5 - 19*r - 18*r**3 + 68*r**5 wrt r. 1840*r**3 Let b(o) be the second derivative of 16 + 41/2*o**2 + 2/3*o**4 + 1/3*o**3 - 2*o. Differentiate b(x) with respect to x. 16*x + 2 Suppose 4*l + 4*d = -32, l - 4*d = -2*l - 45. Let n(i) = 9*i**2 + 13. Let x(w) = 17*w**2 + 26. Let r(u) = l*n(u) + 6*x(u). Differentiate r(g) with respect to g. 6*g Let q(d) be the third derivative of 0 + 17/40*d**6 + 0*d**4 - 1/2*d**3 + 2*d - 1/15*d**5 + 20*d**2. Find the third derivative of q(n) wrt n. 306 Let z(k) be the third derivative of -13*k**5/30 - 217*k**4/24 + 186*k**2. What is the second derivative of z(v) wrt v? -52 Let b(v) = 205*v**3 - 20*v**2 - 5*v - 4. Let m(k) = 204*k**3 - 19*k**2 - 6*k - 5. Let s(x) = -6*b(x) + 5*m(x). Find the third derivative of s(r) wrt r. -1260 Suppose -y - 18 = -6. Let v be (y/(-48))/(2/16). Find the third derivative of -4*t**2 + 23*t**5 + 2*t**6 + 2*t**v - 23*t**5 wrt t. 240*t**3 Let j(v) = -5*v**2 + 11*v + 6. Let w(p) = -p + 18. Let l be w(12). Let n(i) = -1. Let d(s) = l*n(s) + j(s). What is the second derivative of d(b) wrt b? -10 Suppose -2*d + 1 = -13. Let u(j) = -j**2 + 7*j + 9. Let s be u(d). What is the derivative of 4 + s*g - 2*g + 2 - 5 wrt g? 7 Let h(r) = 8*r**4 - 16*r**2 + 159. Let k(o) = -4*o**4 + 7*o**2 - 79. Let u(q) = 3*h(q) + 7*k(q). What is the derivative of u(v) wrt v? -16*v**3 + 2*v What is the third derivative of 607
{ "pile_set_name": "DM Mathematics" }
*n + 13*n. Solve -13 = n*o + 7 for o. -4 Let y = 41 - 25. Solve 0 = -5*s - 6 + y for s. 2 Let c be 6/9*12 + -2. Solve s = c - 2 for s. 4 Let i = -15 + 18. Solve -4 = -i*y + 4*y for y. -4 Let s = 9 + -1. Suppose -3*l + 4 = -s. Solve l*x = 5*x + 2 for x. -2 Let l be 3 - 2*(-3)/(-6). Let y = l + -2. Solve y*v = -4*v for v. 0 Suppose -3*k + 12 = -0. Suppose 0*o = -k*o + 12. Solve 4*a + o = -13 for a. -4 Suppose -2*p - 5*l + 0 + 13 = 0, -p + 3 = -l. Suppose 2*v = 3*v - 1, -2*d + 14 = p*v. Solve q = d*q - 20 for q. 5 Let g(f) = -f - 1. Let i be g(-2). Suppose -5*p + 0*x = x + i, 2*x = -2*p - 2. Let m = 17 + -12. Solve a - m*a = p for a. 0 Suppose -3*b = 4 + 2. Let l be b*2*36/(-16). Solve -6 = 3*z + l for z. -5 Let b = 7 - 5. Solve -b*w - 9 = w for w. -3 Let m = 31 - 22. Solve 4*t - 1 + m = 0 for t. -2 Let c = -10 + 15. Solve -c*d - 8 - 17 = 0 for d. -5 Let p = 17 - 10. Suppose -g - 5 = w + p, 0 = 3*g - 3*w + 6. Let l = g + 12. Solve 2 = -l*n - 3 for n. -1 Let k be (16 - -8) + 0 + 3. Suppose 2*h = 2*r, 5*r + 0*h = -4*h + k. Solve -r*x - 1 = -16 for x. 5 Let s(w) be the third derivative of w**5/120 - w**4/24 + 2*w**3/3 + 2*w**2. Let b(k) be the first derivative of s(k). Let f be b(5). Solve -f*q + 20 = q for q. 4 Suppose 5*v + y - 10 = 0, 6*y = 3*y - 15. Solve v*o - 1 = 5 for o. 2 Let r = 7 - 5. Suppose -2*h - 2*x - 2 = 0, -2*h + r*x = -10 - 0. Suppose 0 = 5*f - 2*u - 36, 0*u - 4*u + 32 = 3*f. Solve -h*z - 2*z + f = 0 for z. 2 Let x be (-2)/3*(1 + -4). Let p be x/(-2) - (-60)/3. Suppose 0 = -5*s - t + 27, 5*s + 0*t - 3*t = p. Solve j = -s + 4 for j. -1 Let h(f) = f**2 - 2*f - 13. Let g be h(6). Let t = g - 11. Solve -2*o + t + 8 = 0 for o. 4 Let h = 15 + -23. Let r = h + 10. Solve r*y - 10 = -3*y for y. 2 Let g(p) = -2*p - 4. Let r(a) = -4*a - 7. Let q(y) = 7*g(y) - 4*r(y). Let w be q(2). Suppose -15 = 5*v + i - 41, -2*i = -w*v + 32. Solve v + 10 = 4*s for s. 4 Suppose 2*i + 0*w - 22 = -3*w, -3*i + 14 = -5*w. Let n = i - 6. Solve -8 = n*b + 2*b for b. -2 Let j be 3 - 2/(-6 + 4). Solve 0 = 2*w - j*w + 10 for w. 5 Suppose -5*q + 21 = 76. Let j = 17 + q. Solve j = -t - t for t. -3 Suppose -12 = -s - 3*f + 5*f, -2*s + 5*f + 29 = 0. Suppose -4*i + 81 - 1 = 0. Let a be 8/i + 26/10. Solve -b - s*b - a = 0 for b. -1 Let s(m) = -m**3 + 3*m**2 + m + 1. Let w be s(3). Suppose 2*b - w*b + 16 = 4*l, 16 = -2*l + 5*b. Solve 0*h = -l*h for h. 0 Suppose 2*k - 3*k = 3*x - 12, 16 = -3*k + 4*x. Suppose 0 = 8*t - 43 - 5. Solve k = -n - n + t for n. 3 Let w(j) = -j**3 - 5*j**2 - 5*j - 1. Let f be w(-4). Suppose f - 9 = -2*u. Suppose 9 = -x + 3*x + q, 4*q = -u*x + 26. Solve 10 - 4 = -x*y for y. -3 Let k(a) = -a**3 - 9*a**2 - 10*a - 12. Let q be k(-8). Let u(l) = -3*l + q*l + l + 0 - 2. Let g be u(2). Solve g*w = 3*w for w. 0 Let y = 0 + 4. Suppose 2*a + y*m = a - 19, 15 = -5*m. Let b = -4 - a. Solve -x + b*x = 0 for x. 0 Suppose -2*l + 202 = -0*l. Suppose 4*q - l = 5*n - 0*n, 3*q + 4*n = 37. Solve -3*t + q = 7 for t. 4 Let q = -12 + 18. Suppose q = 2*v + v. Let d be (-61)/(-3) - v/6. Solve u = -3*u - d for u. -5 Let u be ((-6)/10)/(3/(-15)). Suppose 2*k - u*k = 0. Solve -2*j - 3 - 3 = k for j. -3 Let l = 5 + -3. Suppose b - 5*a = 29, -2*a + 17 = -l*b - 7*a. Solve b = -s - s for s. -2 Let s = 1 - 1. Solve s = 2*z + 3 - 9 for z. 3 Let k be 1/2 - (-18)/(-4). Let v be (2/k)/(2/(-24)). Suppose 5*h - 3*f = -v*f + 4, 4*h + f - 6 = 0. Solve -h*g = g for g. 0 Let k = 17 - 15. Let n be 13/(-5) + 4/(-10). Let z be 4 + -2 + n + k. Solve g + z = -2 for g. -3 Let z(s) = -s**2 - 9*s - 12. Let y be z(-8). Let t = 4 + y. Suppose t*n - n = -20. Solve -2*f - n = -7*f for f. 4 Let u(z) = -z**2 - 5*z. Let j be u(-5). Let r = j - -4. Suppose 5*m + 12 = -2*n, -7 = n + r*m + 5. Solve 0 = -2*y - 2*y - n for y. -1 Suppose 9 = 4*j - r + 4, -4 = 4*j - 4*r. Solve -2*n + j - 6 = 0 for n. -2 Let x = 64 + -61. Solve -4*p = -x*p + 1 for p. -1 Let c = 7 - 5. Solve 5 - 3 = -c*z for z. -1 Suppose -7 = 3*s - 7. Solve 4*q + s = 8 for q. 2 Suppose -2*n + 3 - 1 = 0. Solve -n = 4*f - 5 for f. 1 Let f(z) = z**2 + z - 3. Suppose -7*u = -3*u + 12. Let k be f(u). Solve k*y = -y - 8 for y. -2 Suppose 2*a = -17 + 3. Suppose -4*t = c, 0 = 5*c - 4*t - 54 - 18. Let y = a + c. Solve -5*q - y = -0 for q. -1 Suppose 19 = 12*r - 29. Solve -y = r*y for y. 0 Let w(s) = s**3 + 5*s**2 + 2*s - 3. Let a be w(-4). Solve -a*r - 4 - 16 = 0 for r. -4 Suppose 0 = -2*x + 10, k - 6 = 2*k - 2*x. Suppose 3 = 4*y - y. Let n be 0 - (1/y + -3). Solve -2*b = n*b + k for b. -1 Let q = 1 - 1. Solve 0 = a - q*a + 4 for a. -4 Let v = -9 + 16. Suppose -3*m + 2 = -1. Let q = m - -2. Solve q*k = v*k - 12 for k. 3 Let f = -2 + -2. Let m(c) = -4*c - 8. Let v be m(f). Solve -3*i + i = -v for i. 4 Suppose 11*p = 12*p. Suppose 4*k - a + 18 = 5*k, 0 = -k + 5*a. Solve 3*h - k + p = 0 for h. 5 Let g be -3 - (-14 + 0 + 4). Let a = -3 + g. Let b be 3 + 0 - (1 - 0). Solve 0 = b*q - a*q + 6 for q. 3 Let x be 9/(-4)*32/(-6). Solve -x = b - 5*b for b. 3 Suppose -4*f + g - 16 = 0, -5*f - 16 = -2*g + 1. Let w = f + 7. Solve -5*s + w*s = -15 for s. 5 Let n(g) = g**3 + 3*g**2 - 12*g + 6. Let y be n(-5). Solve 0 = -m - 3*m + y for m. 4 Let v = -6 - -9. Suppose -40 = -v*b - 2*b. Suppose 3*j + 2*j = 3*f - 12, -4*j = -2*f + b. Solve 3*k - 12 = -j for k. 4 Suppose 2*x - 6 = 4*x, -x = -3*u + 15. Suppose 4*j - 25 = -i, -2*j - 5 = 2*i - 5*i. Let a be -21*(1 + -2)*1. Solve -i*q + a = -u for q. 5 Suppose 5*m = 3*m + 4. Solve 0 = 3*a - 5*a + m for a. 1 Suppose 0 = -4*y - 2*y + 24. Solve 3*j + y = 5*j for j. 2 Let n = 70 + -50. Solve -5*b - n = -b for b. -5 Suppose 4*f + 17 = -5*z, -2*z - 7 = -3*f + 9. Solve f*r + r - 15 = 0 for r. 5 Let k = -8 - -6. Let x = k + 12. Solve -2*w - x = -4*w for w. 5 Let i(g) be the first derivative of g**4/4 + 3*g**3 + 4*g**2 + 5*g - 2. Let p be i(-8). Suppose 6 = -3*t + 4*h, h - p = -2*t + 2. Solve -t*q = -q - 1 for q. 1 Suppose -5*r + 5 + 6 = -n, -n = -3*r + 7. Let a(x) = x + x**3 - 2*x - x + x**2 - 2*x**2. Let v be a(r). Solve -4 + v = 4*b for b. -1 Suppose k - 10 = -4*k. Solve 3*a - 1 = k for a. 1 Suppose 3*u + 2 = 8. Suppose -u*p = -3*k + 15, 2*k - 8 = p + 2. Solve p = -5*w - 0*w - 20 for w. -4 Let b(q) = -q**2 - q + 1. Let o(h) = 2*h**2 - h - 4. Let z(v) = -b(v) - o(v). Let r be z(4). Let p = -1 - r. Solve x = p*x + 9 for x. -3 Let w = 23 + -13. Solve 0*r + w = -2*r for r. -5 Let h be 21 - (12/66 - 48/22). Solve -3 + h = 5*f for f. 4 Let w(o) = o**3 + 12*o**2 - 15*o - 24. Let h be w(-13). Solve -s - h = 1 for s. -3 Let x(h) = h**3 + 10*h**2 + 23*h + 14. Let w be x(-7). Solve w = 21*g - 16*g + 5 for g. -1 Let q(a) = a**2 - 6*a + 3. Let j be q(4). Let t(i) = 6*i - i**2 + 3*i**2 + 8 - 2 - i**2. Let w be t(j). Solve -3 = -4*h + w for h. 1 Let i(v) = v + 2. Let h be i(-5). Let b be 2/h - 6/(-9). Let r(m) = -m + 5. Let j be r(b). Solve -2*s + 3 = j for s. -1 Suppose 3*p = -9, u - 3*p - 13 = 4. Solve 4*b = -u - 0 for b. -2 Let m = -15 - -16. Solve 0 = -2*w + w + m for w. 1 Let g be (-2)/(((-2)/3)/1). Suppose g*v - 13 - 5 = 0. Solve 0 = 3*i - i - v for i. 3 Suppose -5*p = -3*l + 42 + 69, 2*p - l + 44 = 0. Let n = -13 - p. Solve 8 = -4*w - n for w. -4 Let f(n) = n**2 + 3*n - 6. Let h be f(-6). Let j = 155 + -150. Solve 0 = -j*r + h + 3 for r. 3 Let o = -20 + 21. Solve 0*l = l - o for l. 1 Let j = 56 + -24. Suppose 2*t + 2*t - j = 0. Solve t = -4*u + 4 for u. -1 Let m(a) = 2*a - 10. Let k be m(7). Suppose 0 = -4*l + 8 + k. Solve 0 = l*p - 4*p + 3 for p. 3 Suppose -4*j + 22 = 2. Solve -3*z = -4 - j for z. 3 Suppose 5*a - 5*j - 20 = 0, 4*a + 4 = j + 11. Let v be a/1 - -1 - -2. Solve -o + 0*o + v = 0 for o. 4 Let l(n) = n**3 - 5*n**2 + 3. Let d be l(5). Let s(m) = 4*m - 3 + 3*m - d - m**3 + 5*m**2. Let y be s(6). Solve y*h = -h + 1 for h. 1 Suppose -m - 2*m = 3. Let r be 3/(m*9/(-48)). Suppose -2*k + 6*k = r. Solve 0 = 2*f + 12 - k for f. -4 Let d = -2 - -1. Let g be (-14)/(-6) + 38/(-6) + 7. Let t = g + d. Solve 7*n = t*n - 15 for n. -3 Let t = -12 + 12. Solve 8 = -4*d - t*d for d. -2 Let n(x) = -x + 20. Let z be n(0). Suppose r + 3*r - z = 0. Let a(c) = c**3 - 6*c**2 + 6*c - 3. Let b be a(r). Solve -b*p = p for p. 0 Suppose 3*l = 2*b - 0*l - 38, 4*b - 74 = 5*l. Solve 0 = -4*r - b - 4 for r. -5 Let p(i) = -4*i**3 - i**2. Let r be 1/6 - (-14)/(-12). Le
{ "pile_set_name": "DM Mathematics" }
i(k) = 9*k**2 - 92. Let z(c) = -4*f(c) - 25*i(c). What is -2*j(x) + 11*z(x)? -7*x**2 + 2*x - 2 Let p(m) = -4*m**2 + 3*m + 2. Let t = -4 + 6. Suppose 4*u = 3*q + 2*q - 5, t*u - 5*q = -15. Let g(v) = 16 - v + 7*v**2 - 19 - 4*v. Determine u*p(s) + 3*g(s). s**2 + 1 Let l(s) = 4*s**2 - 15*s + 2. Let i(h) = h**2 + 7. Let q(o) = 8*o**2 - 16*o + 24. Let y(b) = 3*i(b) - q(b). Calculate -3*l(f) - 2*y(f). -2*f**2 + 13*f Let t be ((-384)/96)/(1 + 3)*1. Let f(b) = -b. Let x(i) = -i**2 + 5*i + 2. Determine t*x(u) - f(u). u**2 - 4*u - 2 Let r(z) = -9*z - 3. Let p(w) = 17*w + 6. Let f be -2*2/(-2) + (5 - 2). Let k(c) = f*r(c) + 3*p(c). Let j(l) = -5*l - 2. What is 5*j(n) + 4*k(n)? -n + 2 Let m(s) = s**2. Let q(j) = -j**2 + 17*j + 59. Let l be q(20). Let r(f) = -10*f**2 - 1. Calculate l*r(w) - 2*m(w). 8*w**2 + 1 Let p(c) be the first derivative of -c**2/2 + 3*c - 11. Let q(w) = w - 2. Determine -6*p(d) - 4*q(d). 2*d - 10 Let l(b) = -82*b**2 - 291*b + 3. Let r(h) = -24*h**2 - 99*h + 1. Determine 2*l(g) - 7*r(g). 4*g**2 + 111*g - 1 Let x(o) = 702*o**3 - 221. Suppose -171 = 5*u - 201. Let g(v) = 19*v**3 - 6. Determine u*x(d) - 221*g(d). 13*d**3 Let d(s) = 9*s - 10. Let w(p) = -3*p + 3. Suppose -47*i + 30 = 2*t - 43*i, -i - 66 = -3*t. Calculate t*w(q) + 6*d(q). -9*q + 3 Let c(a) = 9*a + 1468. Let v(z) = -3*z - 490. Give 3*c(y) + 8*v(y). 3*y + 484 Let f(q) = 4*q**3. Let d be (-2)/9 - 4141/(-369) - (-15)/(-3). Suppose 4*m + 6 = 90. Let g(k) = -13*k**3. Give d*g(v) + m*f(v). 6*v**3 Let i be (-198)/(-99) - 1/(-1). Let s(k) = 7 - 4*k - 15 - k**2 + 10. Let l(p) = -3*p + 5*p - p. Determine i*l(a) + s(a). -a**2 - a + 2 Let t(m) = -m**3 - m**2 + m - 1. Suppose -3379 + 738 = -139*f. Let z(y) = 19*y**2 - 19*y + 19. Calculate f*t(c) + z(c). -19*c**3 Let t(l) = 3*l**3 - 10*l**2 - 2740*l. Let q(b) = -4*b**3 + 12*b**2 + 2735*b. Determine 5*q(r) + 6*t(r). -2*r**3 - 2765*r Let z(f) = 2*f + 350. Let x(c) = -349. Give -3*x(k) - 4*z(k). -8*k - 353 Let y(s) = -s**3 + s - 1. Let r(v) be the second derivative of -3*v**2 - 1/2*v**4 + 43*v - 1/4*v**5 + 0 + v**3. Give r(i) - 6*y(i). i**3 - 6*i**2 Let a(r) = -6*r**2 - 2*r + 6. Suppose 5*o - 2 = i - 5, 0 = -o - 4*i + 12. Let b(y) = 6*y - 6*y + 2*y**2 + y + o*y - 2. Calculate 2*a(t) + 7*b(t). 2*t**2 + 3*t - 2 Let q(d) = -2*d**2 - 387*d - 61. Let p(z) = -2*z**2 - 394*z - 51. Determine -6*p(h) + 5*q(h). 2*h**2 + 429*h + 1 Suppose -2*d + 67 - 250 = 59*d. Let p(m) be the second derivative of -1/2*m**2 + 1/6*m**3 + m + 0. Let g(o) = -4*o. What is d*p(l) - g(l)? l + 3 Let a(d) = d**3 + 84*d**2 + 161*d - 242. Let h be a(-82). Let o(l) = 3*l + 13. Let z(t) = 3*t + 12. Determine h*o(w) - 5*z(w). -3*w - 8 Let d(y) = -2*y**2 - 2. Let q(a) = -1. Let b be (-4)/(-1) - -39*50/(-325). Determine b*d(v) + 4*q(v). 4*v**2 Let f(t) = 2*t + 3*t - 7*t + 1 - 5 + 4*t + t. Let d(c) = 7. Let z(n) = 6. Let v(x) = 5*d(x) - 6*z(x). What is -f(b) + 5*v(b)? -3*b - 1 Let g(w) = -2*w + 7. Let x(u) = 4*u - 1. Let r(v) = -11*v + 4. Let f(y) = 3*r(y) + 8*x(y). Let p(s) = -2*s**2 + 28*s - 45. Let q be p(12). Give q*g(l) - 5*f(l). -l + 1 Suppose 28*v + 100 + 152 = 0. Let q(d) = d**2 - 9*d + 2. Let u be q(9). Let a(f) = -f**2 - f - 2. Let g(h) = -4*h**2 - 5*h - 9. Give u*g(l) + v*a(l). l**2 - l Let y(h) = -9*h**2 + 4. Let a(s) = -19*s**2 + 8. Let j = 30240 - 30243. Calculate j*a(l) + 7*y(l). -6*l**2 + 4 Let i(w) = 12*w**2 - 6*w - 6. Let q(x) = 23*x**2 - 11*x - 11. Let m = 4198 + -4187. Give m*i(h) - 6*q(h). -6*h**2 Let n(q) = 249*q + 116. Let u(g) = -124*g - 49. Determine -3*n(m) - 7*u(m). 121*m - 5 Let d(t) = 2*t**3 + 2*t**2 - 2*t + 3. Let r(b) = 56*b**3 + 83*b**2 - 20*b + 30. Calculate 10*d(s) - r(s). -36*s**3 - 63*s**2 Let j(d) = 535*d**3 - 4*d**2 - 5*d + 3. Let x(a) = -1610*a**3 + 14*a**2 + 17*a - 10. Determine 10*j(v) + 3*x(v). 520*v**3 + 2*v**2 + v Let a(d) = -2*d**3 - 4*d**2 + 2*d + 6. Let o(w) = -w**2 + w + 1. Let u be 273/117*(3 - (-3)/(-7)). Calculate u*o(s) - a(s). 2*s**3 - 2*s**2 + 4*s Let x(y) = -y**2 + 31*y + 270. Let s be x(30). Let r = s - 303. Let c(t) = -t**3. Let l(o) = -5*o**3 + 3*o**2 + 1. Give r*c(z) + l(z). -2*z**3 + 3*z**2 + 1 Let w(c) = -5*c**2 + 2*c - 6. Let o(t) = -t**3 - 41*t**2 + 520*t + 512. Let j be o(-51). Let r(m) = 4*m**2 - 3*m + 5. What is j*w(a) + 3*r(a)? 2*a**2 - 5*a + 3 Let i(h) = -6*h**2 - 3*h - 7. Let c(l) be the third derivative of -l**5/12 - l**4/12 - l**3 - 11635*l**2. What is -5*c(x) + 4*i(x)? x**2 - 2*x + 2 Let v(j) be the second derivative of -j**4/2 - j**3/2 - j. Suppose 50*z + 19 = -81. Let f(r) = r**2 + r - 1. What is z*f(l) - v(l)? 4*l**2 + l + 2 Let l(i) = 1 - 1 + i - 1 + i**2. Let r(o) = -9*o**2 - o + 4. Let g(m) = 20*m**2 + m - 9. Let d(x) = -2*g(x) - 5*r(x). Calculate 2*d(z) - 6*l(z). 4*z**2 + 2 Let j(u) = 2*u**3 + 6*u**2 + 2*u + 411. Let f(y) = y**3 + 4*y**2 + y + 408. Determine -3*f(w) + 2*j(w). w**3 + w - 402 Let i(j) = j + 1. Suppose o - 4 = 2. Let m(q) = 7 - 2*q - 19 + 11 + 0*q + q. What is o*i(d) + 7*m(d)? -d - 1 Let s(j) = 9*j + 3. Let r be (-1176)/(-189) - (-4)/(-18). Let c(p) = -17*p - 5. Let f(a) = -2*a**2 + 41*a - 154. Let n be f(15). Determine n*s(u) + r*c(u). -3*u + 3 Let o(f) = -2*f**3 + 11*f**2 - 11*f + 6. Let i(l) = -l**3 + 6*l**2 - 6*l + 3. Let m(c) = 13*c + 180. Let y be m(-13). Calculate y*i(h) - 6*o(h). h**3 - 3 Let o(s) = -2*s**3 - 7. Let k = 173 + -165. Suppose 0 = k*z + 6*z + 126. Let m(q) = -5*q**3 - 15. What is z*o(l) + 4*m(l)? -2*l**3 + 3 Let b(q) = 14167*q + 8. Let m(o) = 49102746*o + 27726. Calculate 13863*b(h) - 4*m(h). -13863*h Let u(s) = s - 1. Let b(l) = -18*l**2 + 16*l - 48. Let y(t) = 5*t**2 - 5*t + 15. Let w(a) = 4*b(a) + 13*y(a). What is 2*u(f) + w(f)? -7*f**2 + f + 1 Let q(u) = 205*u**3 - 3*u**2 + u + 6. Let m(h) = -2*h**3 + h**2 - 2. Give -3*m(r) - q(r). -199*r**3 - r Let z(m) = -m**3 - 3. Let p(s) = s**3 - 4*s**2 - 23. Let n(g) = p(g) - 6*z(g). Let x(h) = h**3 - h**2 - 1. Let o = 86 + -81. What is o*x(v) - n(v)? -2*v**3 - v**2 Let t(y) = 3*y - 7. Let w(j) = -2*j + 5. Let o(h) = -5*t(h) - 7*w(h). Let q = 768 + -481. Let s = 283 - q. Let c(p) = 4*p. Calculate s*c(u) - 18*o(u). 2*u Let o(s) be the first derivative of -s**2/2 - 264. Let v(d) = -3*d. Let u(p) = 5 + 5*p**3 + p - 6 - 3*p**3. Let f be u(1). What is f*v(i) - 4*o(i)? -2*i Let i(u) = u**3 - 13*u**2 - 6*u + 11. Let g(l) = 2*l**3 - 27*l**2 - 13*l + 20. Give 6*g(s) - 11*i(s). s**3 - 19*s**2 - 12*s - 1 Let a(u) = -u**2 + 11*u - 26. Let o(y) = 2*y - 3. Give a(b) - 8*o(b). -b**2 - 5*b - 2 Let w(k) = -5*k**3 - 3*k**2 - 3. Let q(h) = -43 + 4*h**2 + 6*h**3 + 22 + 25. Suppose -5*c + 29 = -4*u + 10, -5*c - 4*u + 11 = 0. Give c*q(x) + 4*w(x). -2*x**3 Let v(k) = 8*k**3 - 415*k**2 - 4*k. Let x(d) = -9*d**3 + 415*d**2 + 3*d. Determine -7*v(o) - 6*x(o). -2*o**3 + 415*o**2 + 10*o Let r(z) = -8997*z - 24. Let m(h) = 175378521*h + 467844. What is 2*m(i) + 38987*r(i)? -8997*i Let j(a) = 4*a**3 - 7*a**2 - 5*a - 3. Let x(m) = 4*m**3 - 6*m**2 - 4*m - 4. Calculate -4*j(y) + 3*x(y). -4*y**3 + 10*y**2 + 8*y Let u(g) = -g**3 + 2*g**2 + 9*g - 2. Let d(w) = -5*w**3 - 32*w**2 + 51*w - 12. Calculate -d(v) + 6*u(v). -v**3 + 44*v**2 + 3*v Let v(c) = c + 8. Let j(d) = d + 7. Let r(k) = -7*j(k) + 6*v(k). Suppose -259 - 92 = 55*f - 21. Let l(p) = 2*p + 6. What is f*r(i) - l(i)? 4*i Let p(w) = 337*w + 1809. Let l(m) = -144*m - 904. Calculate 7*l(d) + 3*p(d). 3*d - 901 Let s(h) = 253*h**3 + h**2 - 11*h + 46. Let l(q) = 85*q**3 + q**2 - 4*q + 17. What is -8*l(f) + 3*s(f)? 79*f**3 - 5*f**2 - f + 2 Let y(w) = 2*w**2 - 406*w + 11. Let k(m) = -2*m**2 - m - 3. Determine 2*k(s) + y(s). -2*s**2 - 408*s + 5 Let i(x) = 3*x**2 + 31*x - 28. Let a(n) = 18*n**2 + 169*n - 141. Calculate -2*a(z) + 11*i(z). -3*z**2 + 3*z - 26 Let l(m) = 57*m**3 + 5*m**2 - 26. Let x(k) = -55*k**3 - 3*k**2 + 29. Give 2*l(g) + 3*x(g). -51*g**3 + g**2 + 35 Let u(f) = 83*f**3 + f**2 - 3. Let z(l) = -2*l**3 - 1. Calculate u(p) - 3*z(p). 89*p**3 + p**2 Let h(q) = 4*q**3 - 4*q**2 + 47*q - 28. Let v(b) = 4*b**3 - 5*b**2 + 44*b - 43. Calculate -3*h(c) + 2*v(c). -4*c**3 + 2*c**2 - 53*c - 2 Let u(o) = 72096265*o + 1933935. Let m(k) = -20801*k - 558. Determine -20795*m(q) - 6*u(q). -20795*q Let x(t) = 4*t**3 + t**2 - 9. Let v be (1 + 11)/(12/(-1848)). Let w be (-88)/42 - 11/(v/16). Let y(z) = z**3 - 2. Determine
{ "pile_set_name": "DM Mathematics" }
hat is -2 + 1 - -2 - 5? -4 What is (-6)/36*0*-1 + -7? -7 Calculate ((-42)/18)/(6 + (-51)/9). -7 Evaluate 30/(-105) + 4/14. 0 What is the value of (1/(-13))/((-5)/10)? 2/13 Evaluate (-4)/(-57)*(-2)/(-8)*-6. -2/19 (-1*2/(-18))/(200/400) 2/9 What is the value of 3/(3/2) - 7? -5 Calculate 8/(-24)*(-33)/(-2) + 4. -3/2 What is the value of (-54)/10 - 2/(-5)? -5 What is the value of (-3)/(9*11/99)? -3 What is the value of (-1 + (9 - 2))*(-3)/(-6)? 3 (-54)/(-36) + 1/(-2) 1 What is 39/(-9) + 19/57? -4 (10 - 10) + (-3)/5 -3/5 What is (-14 + 13)/((1 + 0)/(-4))? 4 (-208)/216*6 + 4/(-18) -6 What is the value of ((-12)/(-255))/((-48)/120)? -2/17 Calculate (3/12)/(15/8). 2/15 What is 8/(-14)*(-161)/414? 2/9 What is the value of (-24)/27 + (-3)/(135/(-10))? -2/3 (13/6 + -2)*12/8 1/4 18/(-45) - (32/20 - 0) -2 What is 9/(-6)*-1*8/(-36)? -1/3 What is the value of (6/(-10))/(180/2700)? -9 What is the value of 1664/(-364) - (6/(-7))/(-2)? -5 What is the value of (3 - 4)*(-15)/54*3? 5/6 Evaluate ((-3)/(-6))/((-10)/(-12)). 3/5 Calculate (-17)/(-3) - (-96)/(-16). -1/3 Calculate 198/770 - 1/(-7). 2/5 What is the value of 2 + -2 - 7 - (7 - 11)? -3 (15/(-10))/((-5)/(-2)) -3/5 What is ((-4)/16)/(7/(-28))? 1 Evaluate -3 - ((-42)/(-45))/(6/(-20)). 1/9 Calculate 36/(-24)*(-2)/12. 1/4 Evaluate ((-6)/(-9))/(2/(-9)). -3 (-17)/((-17)/(-2)) - 4/(-12) -5/3 Evaluate 2/10*-1 + (-38)/(-90). 2/9 Evaluate (-52)/(-14) + ((-1106)/(-98) - 11). 4 What is (-50 - -5)/3 - -8? -7 What is (-6 - -8)/((-6)/(-33)) - 2? 9 Calculate 32/(-12) + (-1)/(-2)*4. -2/3 What is (-15)/35 - (-3)/105? -2/5 Calculate 5*(14/(-10) - 3/(-3)). -2 What is the value of ((-6)/38)/(57/38)? -2/19 Evaluate (3/(-5))/(-8*45/300). 1/2 What is -1 + 56/12 - 4? -1/3 (2/(-30))/(2/12) -2/5 (-6 - -5)*(-4 + -5 + 3) 6 What is the value of ((-51)/170)/(-1*(-9)/(-24))? 4/5 What is the value of -5 + ((-93)/(-9) - 6)? -2/3 What is 10/1*(30/25)/3? 4 Evaluate ((15 - -4) + -17)*3*1. 6 (-3)/(-1 + 2) + 880/160 5/2 What is the value of (-144)/40 + 1 - -3? 2/5 Evaluate 290/696 + (-3)/4 + 2. 5/3 What is 21 + -21 - (1/(-1) + 6)? -5 8/6*((-9)/6)/(-1) 2 What is the value of -1*-1*4*(-3)/(-12)? 1 Evaluate 6/(-15) + (-54)/135. -4/5 What is the value of (-10)/(-50) - 3/(-15)? 2/5 What is 6 - ((-1)/(-12) + 12771/2268)? 2/7 Calculate 4 - 3*(-5)/15. 5 What is the value of (-128)/(-56) - (-2)/14*-2? 2 8/(-9)*108/(-24) 4 What is 3*153/(-216) - -2? -1/8 Evaluate -5 - -68*(-4)/(-80). -8/5 What is the value of (28/70)/((-5)/50)? -4 What is (-2)/(-12) + (-444)/72 + 8? 2 Calculate (-832)/(-1170) - 20/18. -2/5 Calculate -1 + (-111)/27 - 2/(-18). -5 Evaluate (247/(-26) - -11)*2/6. 1/2 What is the value of (0 + 2 + -3)/((-2)/(-6))? -3 What is the value of -8 + (-5 - 561/(-44))? -1/4 What is the value of (-5)/(-1) + 231/(-63)? 4/3 ((-666)/540 + 4/3)*-4 -2/5 What is 1 - (-1)/(5*(-3)/(-60))? 5 What is 56 - 57 - (-5)/7? -2/7 What is (-3 + 1)*(2/4 + 1)? -3 Calculate -9 - (11 - (-790)/(-40)). -1/4 What is the value of (0 + -4*1)/((-392)/(-28))? -2/7 What is (-225)/(-810)*(14/(-20) + 1)? 1/12 (-5)/(-1)*(-18)/72 -5/4 What is the value of 8/(-11)*(-19)/(-76)? -2/11 (1 - -1) + (-308)/140 -1/5 What is the value of (-18)/(-35) + 40/(-50)? -2/7 What is -1*((-40)/(-35) + -1)? -1/7 Calculate (-5)/(-12) - 4/6. -1/4 What is the value of -12*(-9)/(-54)*-4? 8 What is 4*2/4 + 2? 4 What is 20/(-16)*10/25? -1/2 Calculate (14/(-6))/((-97)/291). 7 What is the value of 65/26 - (2 + (-2)/(-28))? 3/7 What is (-2)/(-5) + ((-88)/20 - -4)? 0 Calculate (22/(-88))/(0 - 4/16). 1 What is the value of (-8)/(-10) - (-32)/10? 4 What is 4/6*(-3)/8? -1/4 1 - ((-27)/18)/((-2)/4) -2 Evaluate -3*4/12*2/(-20). 1/10 What is 133/28 - (-2)/8? 5 Calculate ((-35)/21)/((-10)/30). 5 Evaluate 3/15 - 260/50. -5 What is the value of (-8)/2 + 2 - (22 + -19)? -5 Calculate 2/((85/68)/(5/(-2))). -4 Calculate (-34)/28 - (-546)/(-1911). -3/2 Calculate 4/(-3)*15/(-10). 2 Calculate (-30)/40 + (-15)/(-20). 0 What is 2/(-6)*15/(3/3)? -5 Calculate (-75)/18 + 7/6 + -1. -4 Calculate ((0 + 1)*-3)/(72/(-48)). 2 What is (171/18 - 15) + (0 - -5)? -1/2 What is (-14)/(-10) - 170/50? -2 (-4)/(-14) - ((-12)/(-3) - 4) 2/7 What is the value of 9/24 - (-255)/(-360)? -1/3 What is the value of (1/((-3)/(-2)))/(42/(-315))? -5 Calculate (-105)/(-9)*90/150. 7 Evaluate 1 + (216/42)/(-4). -2/7 ((-11)/((-385)/20))/(-2) -2/7 (-1)/(-3)*(15 - 14) 1/3 (-4)/14 - 32/(-63) 2/9 20/(-8)*7/((-105)/24) 4 Evaluate 27/45*(-16)/(-24). 2/5 Calculate (-3 - -5)/(2/20*-4). -5 What is (72/(-20))/(8/20)? -9 What is 12/(-4)*40/(-30)? 4 5*135/100 + -7 -1/4 What is the value of ((1 - 3)*1/2)/(-6)? 1/6 Evaluate 2/(4 + (-27)/6). -4 2*(-3 - (-3)/2) -3 (7/(-21))/(6/36) -2 (-3 + -8 + 3)*1/(-2) 4 What is the value of 5/60*(-2 + 5)? 1/4 What is (-14)/(-16) + 16/(-128)? 3/4 Evaluate ((-2 + 0)*2)/(15/(-15)). 4 What is 32/216*18/(-12)? -2/9 Evaluate 15/(-60) - 22/8*1. -3 What is ((-10)/(-5) + (-7 - -3))/(-8)? 1/4 What is the value of (-6)/12 - (-26)/36? 2/9 What is the value of -3 - (-40)/(-152)*(0 - 11)? -2/19 Evaluate -2 + (-116)/(-24) + -3. -1/6 What is (18 + -24)*6/9? -4 What is the value of 15/27*(-27)/90*-2? 1/3 Calculate (-57)/(-38) - (-110)/(-68). -2/17 Evaluate (-16)/66*(9 - (-231)/(-28)). -2/11 Evaluate ((-2)/5 - 447/(-105)) + -4. -1/7 (-70)/(-9) - (-106)/477 8 (-5)/(-5) - 5/3 -2/3 What is the value of (-6)/(-10) + (-184)/40? -4 What is the value of (-7 + -2)*((-20)/(-12))/(-5)? 3 Evaluate (-18)/(-60)*4/3. 2/5 Evaluate 2/14*(55 + -56). -1/7 Calculate 765/(-135) - (-14)/(-6). -8 What is 14*(-4)/240 + 10/25? 1/6 What is (-10)/9*-3*3? 10 Evaluate ((-2)/4)/1*6/3. -1 Evaluate -2 - (-3 - (-4)/24). 5/6 What is the value of 12/21 - (-140)/(-245)? 0 What is 4*(-3)/90*(3 + 2)? -2/3 16 + -18 - -4 - 16/6 -2/3 Evaluate (-228)/220 + 38/1045. -1 1*(24/15 + -2 + 0) -2/5 156/1377*3 - 20/90 2/17 What is the value of (-156)/(-120) - (-10)/(-100)? 6/5 ((-39)/(-819))/((-1)/6) -2/7 What is (3*2)/(2/(12/(-27)))? -4/3 Calculate 0/(6 + -4 - 0)*-1. 0 What is the value of (-4)/(-42)*(148/20 - 6)? 2/15 (2/(-3))/(245/(-147)) 2/5 Evaluate 65/(-40) - 25/(-20). -3/8 Calculate (-2)/(-12)*9*-2. -3 Evaluate 4*(-1)/(-2)*2/(-6). -2/3 What is the value of ((11 + -7)/8)/(1/(-2))? -1 Calculate -3 - -12 - (-24)/(-4). 3 Evaluate (((-63)/54)/7)/((-1)/9). 3/2 What is ((-248)/310)/((-2)/(-10))? -4 Evaluate (-14)/(-56)*(2 + (-76)/46). 2/23 Calculate 15/(-10) + -5*1/(-2). 1 Calculate -17 - -14 - (-6)/1. 3 What is the value of (-4)/(-5)*((-27)/9)/6? -2/5 What is (-2)/(-3)*((-216)/88)/(-9)? 2/11 Calculate (2/(-7))/(13/(273/(-18))). 1/3 What is the value of 62/30 - 14/35? 5/3 What is (-3)/12 + 155/140? 6/7 Calculate 138/135 + (-4)/18. 4/5 Evaluate 10/35 - 48/21. -2 ((-14)/(-1617)*7)/(2/(-12)) -4/11 Evaluate 5/(-7 + 329/42). 6 What is (-10)/5*(2 - 3/2)? -1 What is the value of ((-554)/(-4709))/((-2)/(-17))? 1 What is the value of (0 - (-6)/(-4))*(-120)/36? 5 3/(-5) + (-1 - -1) -3/5 Evaluate (-1 - 9)*(-7 - 626/(-90)). 4/9 What is (-2)/(-10) - (-4 - 21/(-5))? 0 What is the value of 1 + 3/3 - 24/14? 2/7 What is the value of 4/(-14) + 34/119? 0 What is (3/10)/(((-48)/20)/2)? -1/4 Evaluate (-4 + -2 + -3)/(-3). 3 10/(-4)*(2 + 114/(-60)) -1/4 What is ((-14)/12)/(52/(-312))? 7 Calculate -3 + (-1 - -4) + (12 - 8). 4 Calculate (-4 - -2)*(-5)/(-55). -2/11 Calculate (-4)/22 - (-627)/121. 5 What is (-12)/70 - (-14)/(-35)? -4/7 -93 + 104 + (-383)/35 2/35 What is the value of (-9)/(-6) + (-315)/294? 3/7 What is (-85)/(-68)*48/20? 3 8 - (7 + (-18)/3) 7 (3/((-9)/7))/((-43)/129) 7 124/(-224) + 6/14 -1/8 What is (-1)/(-1 - 24/(-20))? -5 Evaluate (-464)/(-312) - (-11)/((-572)/8). 4/3 What is the value of 15 - (-44)/(-11) - 10? 1 What is ((-20)/90)/(3/(-81))? 6 Calculate (1 - (-2)/6)/((-588)/(-126)). 2/7 (-17)/(-170)*(0 - 2) -1/5 Evaluate 2 - -2 - (-54)/(-15). 2/5 What is the value of 5/1*10/200? 1/4 ((-4)/(-5))/(-25 - -23) -2/5 6*(8/(-14) - 62/(-84)) 1 What is (-4)/42*-3 - 247/399? -1/3 Calculate (27/(-12))/(6/(-16)). 6 (-2 - 12 - -7) + 8 1 What is 5/(-20)*56/4? -7/2 -3 + (-75)/(-27) - 200/(-90) 2 6*3/(-42) + 24/7 3 What is the value of ((-22)/(-4) - 6) + (-2)/(-8)? -1/4 6/(-2) + ((-2408)/(-60))/14 -2/15 Calculate (-1)/(-8)*(-41 - -39). -1/4 Calculate 20/48*1*-3. -5/4 Evaluate ((-8)/(-120))/(6/36). 2/5 (-1 + 1)*(-4 + 3) 0 Calculate
{ "pile_set_name": "DM Mathematics" }
9? 11, 73, 683 What are the prime factors of 4792343? 61, 251, 313 What are the prime factors of 31910? 2, 5, 3191 List the prime factors of 8358797. 8358797 List the prime factors of 3636058. 2, 761, 2389 What are the prime factors of 2653173? 3, 17, 17341 List the prime factors of 166430. 2, 5, 11, 17, 89 List the prime factors of 2075821. 11, 188711 What are the prime factors of 12879? 3, 53 What are the prime factors of 1989660? 2, 3, 5, 33161 What are the prime factors of 6909967? 6909967 List the prime factors of 37296245. 5, 7, 151, 7057 What are the prime factors of 205722? 2, 3, 11, 1039 List the prime factors of 128275. 5, 7, 733 List the prime factors of 2146084. 2, 23, 23327 List the prime factors of 8096339. 8096339 What are the prime factors of 1350049? 1350049 What are the prime factors of 1934734? 2, 839, 1153 List the prime factors of 131698. 2, 7, 23, 409 What are the prime factors of 138092? 2, 19, 23, 79 What are the prime factors of 26758859? 19, 31, 181, 251 What are the prime factors of 428784? 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3, 19, 91127 What are the prime factors of 4201727? 4201727 What are the prime factors of 756865? 5, 19, 31, 257 List the prime factors of 1938275. 5, 31, 41, 61 List the prime factors of 580759. 580759 List the prime factors of 172178. 2, 19, 23, 197 List the prime factors of 259340. 2, 5, 12967 List the prime factors of 15465597. 3, 7, 17, 43321 What are the prime factors of 3017044? 2, 29, 31, 839 What are the prime factors of 915132? 2, 3, 76261 List the prime factors of 34208562. 2, 3, 31, 183917 List the prime factors of 11118146. 2, 13, 427621 List the prime factors of 4042880. 2, 5, 6317 List the prime factors of 7600792. 2, 950099 List the prime factors of 4174329. 3, 971, 1433 List the prime factors of 7430629. 7430629 List the prime factors of 17202522. 2, 3, 101, 28387 What are the prime factors of 135081? 3, 5003 What are the prime factors of 538839? 3, 7, 2851 What are the prime factors of 36249? 3, 43, 281 What are the prime factors of 292507? 53, 5519 What are the prime factors of 11901896? 2, 947, 1571 List the prime factors of 887490. 2, 3, 5, 19, 173 What are the prime factors of 10021068? 2, 3, 278363 What are the prime factors of 99739? 17, 5867 What are the prime factors of 29659755? 3, 5, 37, 53441 What are the prime factors of 3515861? 53, 66337 List the prime factors of 12159537. 3, 13, 73, 4271 What are the prime factors of 20121250? 2, 5, 16097 What are the prime factors of 527520? 2, 3, 5, 7, 157 What are the prime factors of 4525263? 3, 502807 List the prime factors of 126156. 2, 3, 10513 List the prime factors of 339229. 11, 30839 List the prime factors of 127009. 107, 1187 What are the prime factors of 3573366? 2, 3, 17, 53, 661 List the prime factors of 14447563. 13, 1111351 What are the prime factors of 3503694? 2, 3, 293, 1993 List the prime factors of 2124771. 3, 11, 31, 67 List the prime factors of 1066017. 3, 355339 List the prime factors of 35958688. 2, 1123709 What are the prime factors of 901050? 2, 3, 5, 6007 What are the prime factors of 798648? 2, 3, 107, 311 What are the prime factors of 7134644? 2, 11, 14741 What are the prime factors of 113570? 2, 5, 41, 277 What are the prime factors of 968107? 7, 19, 29, 251 List the prime factors of 238576. 2, 13, 31, 37 List the prime factors of 379233. 3, 29, 1453 What are the prime factors of 11070995? 5, 13, 17, 43, 233 What are the prime factors of 690241? 59, 11699 What are the prime factors of 17231555? 5, 11, 313301 What are the prime factors of 6737188? 2, 1684297 What are the prime factors of 749648? 2, 46853 What are the prime factors of 1441879? 1441879 What are the prime factors of 1331484? 2, 3, 7, 11, 131 List the prime factors of 892937. 79, 89, 127 List the prime factors of 61683. 3, 29, 709 List the prime factors of 1726981. 83, 20807 What are the prime factors of 6192784? 2, 13, 19, 1567 List the prime factors of 16787260. 2, 5, 7, 19, 6311 What are the prime factors of 212614? 2, 106307 List the prime factors of 317217. 3, 41, 2579 List the prime factors of 173174. 2, 86587 What are the prime factors of 707565? 3, 5, 43, 1097 What are the prime factors of 2003504? 2, 125219 List the prime factors of 133252. 2, 7, 4759 List the prime factors of 4165316. 2, 1041329 List the prime factors of 5953190. 2, 5, 595319 List the prime factors of 1130383. 857, 1319 What are the prime factors of 425660? 2, 5, 21283 List the prime factors of 16702603. 16702603 What are the prime factors of 221590? 2, 5, 22159 What are the prime factors of 22938312? 2, 3, 101, 9463 What are the prime factors of 4658471? 659, 7069 What are the prime factors of 5230018? 2, 61, 163, 263 List the prime factors of 623715. 3, 5, 43, 967 List the prime factors of 201503. 23, 8761 List the prime factors of 117437. 117437 List the prime factors of 5863207. 7, 837601 List the prime factors of 375491. 89, 4219 List the prime factors of 259326. 2, 3, 14407 What are the prime factors of 5584558? 2, 7, 37, 10781 What are the prime factors of 238104? 2, 3, 3307 What are the prime factors of 3536411? 23, 153757 What are the prime factors of 1883315? 5, 7, 7687 List the prime factors of 3375349. 3375349 What are the prime factors of 31422? 2, 3, 5237 List the prime factors of 1538744. 2, 192343 What are the prime factors of 5096072? 2, 211, 3019 What are the prime factors of 2753839? 11, 2069 List the prime factors of 2066859. 3, 29, 7919 What are the prime factors of 3541358? 2, 1770679 List the prime factors of 197775. 3, 5, 293 List the prime factors of 10680984. 2, 3, 53, 311 What are the prime factors of 9689561? 7, 577, 2399 What are the prime factors of 3314861? 11, 31, 9721 What are the prime factors of 736231? 19, 38749 List the prime factors of 214488. 2, 3, 331 List the prime factors of 178005. 3, 5, 11867 What are the prime factors of 20631197? 239, 86323 What are the prime factors of 5711038? 2, 23, 124153 List the prime factors of 961078. 2, 17, 23, 1229 List the prime factors of 3905431. 19, 205549 List the prime factors of 122046. 2, 3, 20341 List the prime factors of 45252. 2, 3, 419 List the prime factors of 17446. 2, 11, 13, 61 What are the prime factors of 1012697? 7, 144671 List the prime factors of 12931901. 281, 46021 What are the prime factors of 13579476? 2, 3, 23, 49201 List the prime factors of 25563737. 89, 287233 List the prime factors of 431704. 2, 7, 13, 593 List the prime factors of 7180475. 5, 287219 List the prime factors of 77446. 2, 38723 List the prime factors of 723616. 2, 22613 What are the prime factors of 1171662? 2, 3, 195277 What are the prime factors of 14230356? 2, 3, 7, 169409 List the prime factors of 9400444. 2, 2350111 What are the prime factors of 22990205? 5, 7, 17, 38639 List the prime factors of 489711. 3, 239, 683 What are the prime factors of 33107? 33107 What are the prime factors of 83438? 2, 41719 What are the prime factors of 300567? 3, 100189 What are the prime factors of 6222805? 5, 277, 4493 List the prime factors of 71682. 2, 3, 13, 919 List the prime factors of 28753602. 2, 3, 547, 8761 List the prime factors of 324600. 2, 3, 5, 541 List
{ "pile_set_name": "DM Mathematics" }
, a, -0.14 in increasing order. a, -0.14, 0, 1 Let z = -5 + 5.6. Let n = -0.3 + 1.3. Let o = z - n. Sort o, -4/7, 2/5 in increasing order. -4/7, o, 2/5 Let d = -35 - -39. Put d, -3, 2 in decreasing order. d, 2, -3 Let z = -2.2 - 2.3. Let u = z + 0.5. Let m = -2 - -2.5. Sort m, u, -5. -5, u, m Let r = -0.4 - -0.3. Let b be 2/((-7)/(21/(-2))). Sort r, -0.3, b in descending order. b, r, -0.3 Suppose -4*u - t + 16 = 0, -4*t - 17 = u - 9*t. Let l be ((-2)/8 + 6/(-8))*3. Sort u, l, 1. l, 1, u Let z = -26 - -24. Sort -5, 1/4, z. -5, z, 1/4 Let y = 13 + -16. Put -11, 3, y, 1 in descending order. 3, 1, y, -11 Let v = -7.2 + 7. Let a = -1 - -3. Sort a, v, -4 in descending order. a, v, -4 Suppose 0*s - 3*s - 2*y + 7 = 0, s - 5*y = 25. Put -3, s, 7, -4/7 in decreasing order. 7, s, -4/7, -3 Let z be (2 - 6) + 8 - 0. Suppose -2*u = z + 2. Put u, 1/3, -1/2 in descending order. 1/3, -1/2, u Suppose -4*q = -2*z + 6, 8*z - 3*z - 3 = 4*q. Sort 0, 4, q in increasing order. q, 0, 4 Let f = -45 - -46. Let m be -3*(-2)/12*0. Suppose -t - 2 + 1 = 0. Put f, m, t in decreasing order. f, m, t Let c(u) = -6*u**2. Let l be c(-1). Let d(f) = f**2 + 6*f + 3. Let j be d(l). Let i = 0.13 - 4.13. Sort j, i, 2 in ascending order. i, 2, j Let m = -33 + 32.6. Let q(x) = -x - 2. Let h be q(2). Sort 4, m, h in descending order. 4, m, h Suppose 0 = -u - 3*s - 6 - 0, 0 = 3*u - 2*s + 7. Sort 0, 5, u in descending order. 5, 0, u Let h = 20 + -32. Let c = h + 12.2. Put c, -2, -0.2 in descending order. c, -0.2, -2 Let g(w) = -24*w + 7. Let a be g(3). Let d = -324/5 - a. Sort 2, d, -5 in descending order. 2, d, -5 Let z = 45 + -42. Let l = -1.8 + 2. Put z, 1, l in decreasing order. z, 1, l Suppose 5*v - 1 - 14 = 5*n, -3*n = 4*v + 9. Sort 0, n, 3. n, 0, 3 Suppose -5*p = 3*h + 16, 3*p + 3*h = -10 - 2. Let a = p - -2. Suppose 19*r - 25*r = -6. Sort r, a, -4 in ascending order. -4, a, r Let k be (-2 + (-2)/2)*-1. Let g be (-4)/6 + (-1)/k. Let f = 0 + 0. Sort f, 2, g in ascending order. g, f, 2 Let p = 0.3 - -4.7. Let d = -0.511 - -0.101. Let g = d - 0.09. Sort -4, g, p. -4, g, p Let k = -0.5 - 0.1. Let u = k + 0.2. Put 3, u, -3 in ascending order. -3, u, 3 Suppose 29 = -3*s - 0*s + 5*o, 2*s = -2*o + 2. Let p = 1 + s. Let q = -3 + 5. Put q, 0.5, p in decreasing order. q, 0.5, p Suppose -13*j + 9 + 56 = 0. Sort 2, -14, j in decreasing order. j, 2, -14 Let b = 0.01 - 3.01. Suppose w = -0 + 2. Sort 0.4, b, w. b, 0.4, w Let p = -14.9 - -14.8. Let c = -15/2 + 7. Sort p, 4, c in decreasing order. 4, p, c Let t be (26/8)/((-5)/20). Let n = t + 9. Sort 2, n, 0 in descending order. 2, 0, n Let d = 157 + -146. Sort 0.2, 0.3, d in decreasing order. d, 0.3, 0.2 Let x be (1 - 2) + 21/15. Sort 1, x, 1/4 in descending order. 1, x, 1/4 Let m = -0.77 - 0.23. Sort m, 4, 0.5 in descending order. 4, 0.5, m Suppose -16 = -9*l + 5*l. Let d be (-2)/1 - (2 + 0). Let y be (-3)/2 + 2/d. Put l, y, 5 in decreasing order. 5, l, y Let o(n) = -2*n - 4. Let w be o(-3). Suppose p + w = 6. Suppose -p*z - 15 = -z. Sort -3, 3, z in descending order. 3, -3, z Let t(b) = b**2 - 7*b + 7. Let v be t(6). Suppose v - 4 = d. Let j = -4 + 4. Sort -4, j, d in increasing order. -4, d, j Let r(v) = v**2 - 5*v - 6. Let c be r(6). Let g be -3 + 0 + 6 + 0. Let h(t) = -t**2 + 3*t + 2. Let z be h(g). Sort c, -1, z in descending order. z, c, -1 Let t = -134 - -132. Put -1, -14, -5, t in descending order. -1, t, -5, -14 Suppose -4 = 2*j, 2*v + 0*v - 5*j - 28 = 0. Put -5, -1, 0, v in ascending order. -5, -1, 0, v Let k = -79/18 - -62/9. Put 0.1, k, -3/5 in descending order. k, 0.1, -3/5 Let y = -0.1 + -2.9. Let d = y - -2.7. Let k = 0.29 - -0.01. Put 4, d, k in increasing order. d, k, 4 Suppose j = 2*h - 1, 0*h + 4*j + 14 = -2*h. Put 5, -4, h in descending order. 5, h, -4 Let i = 11 - 11.02. Let t = 0.42 + i. Sort -0.4, 1, t. -0.4, t, 1 Suppose -u = -5*m - 0*m + 25, 0 = 4*u - 3*m + 32. Put 4, -0.4, 0.5, u in descending order. 4, 0.5, -0.4, u Let g = -4.02 - -0.02. Let j = -1 + 5. Put g, j, -5 in ascending order. -5, g, j Let a = -0.002 - 3.998. Sort 3, -2/5, a in decreasing order. 3, -2/5, a Let q = -0.31 - -0.01. Let x = 29/2 - 89/6. Sort x, q, -3/2. -3/2, x, q Let k(u) = -u**2 - 1. Let x(w) = -7*w**2 + 5*w - 8. Let a(s) = 6*k(s) - x(s). Let l be a(4). Sort l, -3, 4 in increasing order. -3, l, 4 Let u = 3.5 + 0.5. Let i(s) = s**3 - 5*s**2 + 3*s + 4. Let v be i(3). Let c = 5 - 4. Put c, u, v in decreasing order. u, c, v Suppose 6*b = 2*b. Let g be (-5)/5 - (b - 5). Put -1, g, 1 in ascending order. -1, 1, g Suppose 30*g - 31*g = 7. Sort 5, 0.2, g in descending order. 5, 0.2, g Let l = -23 + 21. Sort -2/13, l, 5. l, -2/13, 5 Let w(t) = t**3 + 8*t**2 - t - 11. Let y be w(-8). Let p be (-2)/(-4)*(-4 + 4). Let g be (2 + -5)*1/3. Sort p, g, y in increasing order. y, g, p Let t = 54.9 + -55. Suppose -3*w + 2*o = o, 3*w - 5*o = 0. Let p be -1 + (w - 1)*1. Sort t, -0.4, p in descending order. t, -0.4, p Let s = -0.12 + 7.12. Let g = s + -2. Put -1, -1/2, g in increasing order. -1, -1/2, g Let y be (-3 - -2)/(2/(-18)). Let r be (19/y + -2)*1. Let d = 68 + -65. Sort r, -4, d in descending order. d, r, -4 Suppose 16 = 4*q, -y - 30 = 2*y - 3*q. Let z be (-8)/12 - 10/y. Sort 2, z, 5 in descending order. 5, 2, z Let l = 0.6 - -4.4. Put -0.06, 1, l in ascending order. -0.06, 1, l Let z = 3 - 1. Let l(k) = -k**3 - 7*k**2 + k + 8. Let w be l(-7). Sort -4, z, w in descending order. z, w, -4 Let x = 1.85 - -1.15. Sort x, 4, -0.5 in descending order. 4, x, -0.5 Suppose 2*h - 2*f = -2, -2*h + 3*f - 18 = 5*f. Let o = 4.051 + -0.051. Put o, h, -0.2 in descending order. o, -0.2, h Let f(u) = 5*u**2 - 3*u - 1. Let c be f(-2). Suppose -b = 4*h - 2*h - 15, b = -4*h + c. Sort 3, 2, b in ascending order. 2, 3, b Let u(o) = -o**3 - 9*o**2 - 2. Let q be u(-9). Let b be q + ((-13)/(-15) - -1). Let t = -0.2 + 1.2. Sort b, t, 0.5. b, 0.5, t Suppose -8*m + 9 = -23. Sort m, -1, -34. -34, -1, m Suppose k = 3*j - j - 5, -4*k + j = -8. Let a be 28/5 - (-21)/(-35). Let h(f) = f**3 - f. Let c be h(-1). Sort k, a, c in descending order. a, k, c Suppose -6*g - g - 63 = 0. Let y = -3 - -8. Sort y, 0, g in decreasing order. y, 0, g Suppose 0 = -3*i + 2*y - 4, 2*i + i = -4*y - 10. Let x = 221 - 221.3. Sort 0.5, x, i. i, x, 0.5 Suppose 2*l + 16 - 6 = 0. Let z be 4/26 - 250/(-65). Sort -4, l, z. l, -4, z Suppose s + 0 = -4*b - 2, b - 22 = -4*s. Suppose 5*n = -4*m + 10, 2*m + s = -m + 3*n. Suppose 5*c = -m*c. Put c, -1, -4 in descending order. c, -1, -4 Let i = 6.8 - 7. Put i, 0.04, -3 in ascending order. -3, i, 0.04 Let y = 0.2 + 0.1. Let l = -7 + 6.6. Let i = l + 1.4. Sort y, 1/2, i in decreasing order. i, 1/2, y Let o = 21.5 - 22. Sort -0.4, o, -2 in decreasing order. -0.4, o, -2 Let o(j) = j**3 - 4*j + 3. Let p be o(2). Let x = -58 + 55. Let s be (-32)/(-14) + 6/(-21). Put p, x, s in decreasing order. p, s, x Let q = 23 + -33. Put -5, q, -1, 5 in increasing order. q, -5, -1, 5 Let o = 9/8 + -35/24. Put -1/9, o, 1 in decreasing order. 1, -1/9, o Let z = 142/91 + -24/13. Put 0.01, 0.4, z in descending order. 0.4, 0.01, z Let w be ((-52)/(-10) + -5)*5/(-2). Sort 0, w, 7 in descending order. 7, 0, w Let f = 3 + -2. Suppose 2*p = -3*q, -4*p = p + 2*q. Put f, p, -4 in descending order. f, p, -4 Let v(x) be the third derivative of -23*x**4/24 - 2*x**3/3 - x**2. Let a be v(4). Let u = 765/8 + a. Put -0.5, u, 3 in descending order. 3, u, -0.5 Let b = 16 + -15. Let p = b + 2. Sort 4, p, -1 in descending order. 4, p, -1 Let h(u) = -u**2 + 3. Let a be h(0). Sort 1, a, 5 in decreasing order. 5, a, 1 Let h be ((-7)/(-2))/((-8)/16). Let t be 23/h - 4/(-14). Suppose v - 21 = -5*c, 3*v - 4*v + c = 9. Put t, v, 3 in decreasing order. 3, t, v Let x be (-4)/(-5)*35/(-14). Put 4, 6, x in increasing order. x, 4, 6 Let m = -1 + 3. Suppose m*c + 3 + 1 = 0. Sort -5, -4, c in descending order. c, -4, -5 Let q(y) = -y**2 + 5*y + 1. Let u be q(6). Let k = -4 + 9. Suppose 2*m - k*m + 6 = 0. Sort -3, u, m in descending order. m, -3, u Let l(h) = -14*h + 14. Let u be l(7). Let f be 10/(-84) + (-24)/u. Sort 0, f, 1. 0, f, 1 Let g = 0.43 + -0.03. Let b(m) = m**2 - 7*m + 8. Let i be b(6). Let n be -1 + 2 + -1 + i. Put n, g, 3 in increasing order. g, n, 3 Let u = 0.8 - -8.2. Let k = u + -7. Sort -3, -5/3, k in increasing
{ "pile_set_name": "DM Mathematics" }
ctors of 10/70 + (-2798)/(-14). 2, 5 Let s be (4004/(-66))/((-4)/(-6)). List the prime factors of 1069/7 - 26/s. 3, 17 Suppose 9980 = 4*f - 3*x - 2066, 3*f - 9041 = -x. List the prime factors of f. 23, 131 Suppose -q - a + 56 = a, 2*q = 3*a + 140. What are the prime factors of q? 2 Suppose 0 = -2*j + 105 + 59. List the prime factors of (-18)/72 - j/(-8). 2, 5 Let c(l) = -5*l + 33. Let g be c(6). Let z be 1/(-3) + (-52)/(-12). What are the prime factors of z/6 - (-118)/g? 2, 5 Let j be (-36)/(-14) - 16/28. Suppose 5*v - 12 = j*f + 2*f, -3*f + 6 = 0. Suppose b - 44 = 4*d - d, -v*b + 167 = -3*d. What are the prime factors of b? 41 Suppose -22*t + 23*t - 272 = 0. List the prime factors of t. 2, 17 Let u(o) = 17*o**3 - o**2 + 20*o - 10. What are the prime factors of u(4)? 2, 571 Suppose -39*d + 60835 = -23834. What are the prime factors of d? 13, 167 Let k be -2*(3 + -1 + -3). Suppose -k*w = -y + 3*w + 90, -w - 5 = 0. List the prime factors of y. 5, 13 Let y(s) = -3*s**2 - 53*s + 149. Let w(u) = 4*u**2 + 80*u - 223. Let q(z) = 5*w(z) + 7*y(z). List the prime factors of q(17). 2, 3, 11 Let q(u) = 114*u**2 + 3*u + u + 5 + u**3 - 102*u**2. List the prime factors of q(-11). 2, 41 Suppose 3*k + 4*k - 371 = 0. Let g = 2 + k. List the prime factors of g. 5, 11 Suppose -r - 52 = 4*o, 2*o - o + 4*r = -13. Let u(j) = -8*j + 28. List the prime factors of u(o). 2, 3, 11 Let i(c) = c**3 - 11*c**2 - 11*c + 13. Suppose 5*z - 65 = 5*k, -3*z + 34 + 6 = -4*k. List the prime factors of i(z). 5 Let x = -8 + 9. Let c be (-4)/2 + x + -1. List the prime factors of c/7 - 558/(-42). 13 Suppose q - 30 = -27, -5320 = -d + 2*q. List the prime factors of d. 2, 2663 Let p = 60 - 129. Let d = p + 102. List the prime factors of d. 3, 11 List the prime factors of (-2125)/(-6) - (-10)/(-60). 2, 3, 59 Let p(a) = 16*a**3 + a - 17*a**3 - 3*a + 5*a**2 + 6*a + 9. What are the prime factors of p(5)? 29 Let h be 6/27 - (-80)/45. Suppose 5*b + 2 = 4*i + h*b, 0 = 4*i + 3*b - 14. Suppose i*n + 0 - 140 = 0. What are the prime factors of n? 2, 5, 7 Let g(n) = 35*n - 20. Let y be 1*(4 + 1/(2 - 3)). List the prime factors of g(y). 5, 17 Suppose -69 = -5*z - 124. Let t(f) = -f**3 + 5*f**2 + 2*f + 7. Let s be t(5). Let q = z + s. What are the prime factors of q? 2, 3 Let o(d) = -16*d**3 - 19*d**2 + 36*d + 31. Let h(i) = -3*i**3 - 4*i**2 + 7*i + 6. Let y(r) = -11*h(r) + 2*o(r). What are the prime factors of y(-6)? 2, 13 Suppose -s - s - 2*i = -14, -i - 5 = -5*s. Suppose 270 = 7*d - s*d. List the prime factors of d. 2, 3 Suppose -x - 24 - 29 = 0. Let a = 22 - x. What are the prime factors of a? 3, 5 Let v be 12 + ((-2)/(-1) - 3). Let z(n) = n + 17. List the prime factors of z(v). 2, 7 What are the prime factors of ((-1)/(-2))/(1/50)? 5 List the prime factors of (-1)/(-2)*1390 - (-14 + 16). 3, 7, 11 Let w(k) = k**2 - 17*k + 6. Let m be w(16). Let i = 10 + m. Suppose i*g - 2*g = t - 57, 3*g = 15. List the prime factors of t. 47 Suppose -5*x - 2*d = -1097, 2*d + 217 = 4*x - 3*x. What are the prime factors of x? 3, 73 Suppose -r - 3*s + 865 = 0, 5*r - 3*s - 1287 = 3002. List the prime factors of r. 859 Suppose -4*w + 2468 = 2*b, 3*w - 2457 = -3*b + 1257. List the prime factors of b. 2, 3, 23 What are the prime factors of 21/(-6)*82918/(-77)? 3769 Let w(b) be the third derivative of -b**5/60 - 11*b**4/24 + 11*b**3/6 - 4*b**2. List the prime factors of w(-8). 5, 7 Let j = 138 - -423. List the prime factors of j. 3, 11, 17 Let n be 5 - (42/(-6) - -3). Suppose 2*d + 826 = n*d. List the prime factors of d. 2, 59 Let k(c) = -5*c**3 - 11*c**2 - 14*c + 4. What are the prime factors of k(-5)? 2, 53 Suppose -3*y - 5*h + 1207 = 0, 0 = -3*y + 8*y - 3*h - 1955. What are the prime factors of y? 2, 197 Suppose 216*i - 310352 = 160*i. List the prime factors of i. 2, 17, 163 Let n be 2/(-5) - (-21220)/50. Suppose -l + n = 7*l. List the prime factors of l. 53 Let n = 38 + -4. Let a = -24 + n. Suppose 2*p - a = 28. List the prime factors of p. 19 Let n = -11 - -10. Let u be n*(-2 - (3 - 6)). What are the prime factors of ((-6)/2)/u - -15? 2, 3 Let k = -8 - -2. What are the prime factors of ((-62)/k)/(17/51)? 31 Let w(s) = s**3 - 14*s - 2. Let d be w(-3). Suppose 501 = -10*y + d*y. What are the prime factors of y? 167 What are the prime factors of 818 + (4 - (-20)/(-5))? 2, 409 Let g be (12/(-10))/(45/(-150)). Let q(t) = -t. Let w be q(-3). Suppose -x + w = -g. What are the prime factors of x? 7 Suppose 0 = 7*s + 5 - 5857. What are the prime factors of s? 2, 11, 19 Let b = -287 - -527. What are the prime factors of b? 2, 3, 5 Let u(t) be the first derivative of t**6/15 + t**5/120 + 5*t**3/3 - 5. Let g(j) be the third derivative of u(j). List the prime factors of g(-1). 23 Suppose -5*y + y + 2*o = 10, 2*y + 2*o - 10 = 0. Suppose -4*a + 152 = -y*a. List the prime factors of a. 2, 19 What are the prime factors of 2090*(-4 - (-81)/18)? 5, 11, 19 Suppose 0 = 2*s - 17 + 13. Suppose 0*v + s*u - 138 = -3*v, 4*u = 5*v - 252. What are the prime factors of v? 2, 3 List the prime factors of (-14)/((-54)/13 - -4). 7, 13 Let t = -28 + 30. Suppose t*v + 8 = 0, -2*o = 3*o + 2*v - 242. List the prime factors of o. 2, 5 List the prime factors of 6*((-55)/10)/11 - -1050. 3, 349 Let l = 15 - 13. Suppose 4*y = -2*c + 16, -3*c + l*c = -4. What are the prime factors of 36 - ((-12)/y - -4)? 2, 19 Let u = 1 - -4. Suppose -z + 15 = -4*i, -z + u*i + 7 = -5. List the prime factors of z. 3 Suppose -3*b = -360 - 978. List the prime factors of b. 2, 223 Let n(r) = -r**2 - 3*r + 2. Let d be n(4). Suppose -2*b + 2*f + 8 = 0, 2*b - 5 = 5*f + 9. What are the prime factors of -2 - (4 - b)*d? 2, 5 Suppose -21 = 2*f + 17. Let n = 27 + f. What are the prime factors of n? 2 Suppose p + 4*x - 18 = 0, p + 5*x - 20 = -0*x. Suppose n + p = -g + 5*g, 3*n - g - 3 = 0. Suppose -n*o - o + 51 = 0. What are the prime factors of o? 17 Let n(u) = u**3 + 6*u**2 - 8*u - 13. Let f be n(-7). Let i be ((-4)/f)/((-6)/27). List the prime factors of -3*i/6*18. 3 Suppose -4*m + 9*t - 12*t + 10783 = 0, -3*m = t - 8091. List the prime factors of m. 2, 19, 71 Let l(b) = -29*b**3 + 2*b**2 - 6*b + 1. What are the prime factors of l(-2)? 11, 23 What are the prime factors of 4094/12 + (-12)/72? 11, 31 Suppose -2*v = -4*v + 6. Suppose -3*i - 107 = -4*u + 141, v*i = -3*u + 186. Suppose -2*y - 3*d + u = 2*y, -2*y + 2*d + 38 = 0. What are the prime factors of y? 17 Let f be 1*(2 - -1 - 0). Suppose f*d - 6*d = -213. Let x = -40 + d. What are the prime factors of x? 31 Let t(k) = -k + 2. Let b be t(-1). Suppose -b*j = 15, -j = 5*r - r - 203. What are the prime factors of r? 2, 13 Let w(r) = -r**2 + 6*r - 2. Let c be w(5). Suppose -c*v - 9 = -21. Suppose s - a - 28 = 4*a, 3*s - 84 = v*a. What are the prime factors of s? 2, 7 Let o(m) = 31*m - 9. Let k(r) = 16*r - 4. Let n(a) = -5*k(a) + 2*o(a). Let i be n(1). Let c = -7 - i. What are the prime factors of c? 3 Suppose -8*n + 3204 = 4*n. List the prime factors of n. 3, 89 Suppose -f = -325 - 1071. List the prime factors of f. 2, 349 Let m be -2*1*(2 - 3). Suppose b + 31 = -3*q, 69 = -3*b - m*q - q. List the prime factors of (b + -1)/(1/(-2)). 2, 5 Let i(a) = a**2 + 3*a + 37. Let t be i(-11). Let p = 211 - t. What are the prime factors of p? 2, 43 Let y(d) = d + 112 + 5*d**3 + d - 4*d**3. What are the prime factors of y(0)? 2, 7 Let l(b) be the first derivative of -b**3/3 - 5*b**2 - 16*b + 13. Let r be l(-6). List the prime factors of (-4660)/(-70) + r/(-14). 2, 3, 11 List the prime factors of (-380)/(-152)*3376/10. 2, 211 Let i = -6 - -10. What are the prime factors of (-3 - 2/i)*-6? 3, 7 Suppose -9*j + 490 = -437. Let q = j + -58. List the prime factors of q. 3, 5 Let o(l) = -l**3 + 20*l**2 - 11*l - 17. Let b be o(7). Suppose 451 = 7*v - b. What are the prime factors of v? 2, 71 Let f = -20 - -26. Let k = 3 + f. Suppose -k = j - 38. What are the prime factors of j? 29 Let t be 2/(-4)*(3 - 7). Suppose t*f + 5*f = 350. List the prime factors of f. 2, 5 Suppose 10*p - 2082 = 4*p. List the prime factors of p. 347 Let t be ((-94)/4)/(7/(-42)). List the prime factors of 241/3 + -1 - (-94)/t. 2, 5 Suppose 0 = -2*n - 3*u + 312, 3*n + 3*u - 8*u - 487 = 0. List the prime factors of n. 3, 53 Let b = 2563 + -559. List the prime factors of b. 2, 3, 167 Le
{ "pile_set_name": "DM Mathematics" }
et l = -63 - -63.2. Put l, 7, -5, -4 in descending order. 7, l, -4, -5 Let n = -28.1 - -4.1. Put -2, n, -2/7 in ascending order. n, -2, -2/7 Suppose i + 3*j = -20, -3*j - 10 = -2*i + j. Sort -3, i, -4 in ascending order. i, -4, -3 Let n = -0.02 - -7.02. Let u = -111 - -118.3. Let f = u - n. Put 1, -0.3, f in ascending order. -0.3, f, 1 Let v be 2/(3 + 7 + -3). Put 3, v, 0, 5 in ascending order. 0, v, 3, 5 Suppose 2*u + 3 - 11 = 0. Let f = -4 - 0. Put u, 0, f in ascending order. f, 0, u Let a be 3 - (-10)/(-5)*(-6)/(-4). Sort 3, a, -3, -5. -5, -3, a, 3 Suppose 8 = -7*l + 43. Let o be 20/25*(0 - -15). Suppose 0 = 3*k + o - 0. Put k, -2, l in descending order. l, -2, k Let x be 46/11 + 2/(-11). Sort 1, 2, x in decreasing order. x, 2, 1 Let z = -5.2 + -1.8. Sort -0.4, z, -5 in increasing order. z, -5, -0.4 Let b = -0.06 - 2.94. Suppose h = 5*q + 6, -14 = 4*h + 3*q + 8. Sort h, 1, b in descending order. 1, b, h Let u = -6.2 + -0.8. Let z = u - -11. Put -2/3, z, 0.3 in increasing order. -2/3, 0.3, z Let w = 0.4 - 2.4. Let t = w + 2. Let g = 1 - t. Sort g, 5, 3. g, 3, 5 Let b be (-2)/18 - (4 + -4). Put 2, 0.02, b in decreasing order. 2, 0.02, b Suppose 37 = -5*v - 3. Sort 4, v, 2. v, 2, 4 Suppose 5*j + 17 = -2*b + 3*b, 5 = j - 3*b. Put -1/6, 0.3, j, 4 in ascending order. j, -1/6, 0.3, 4 Let z be 2/(-4)*(-2)/(-7). Let k = -11 + 5. Let f = 6.5 + k. Put f, 2/15, z in descending order. f, 2/15, z Let q = 20 + -18. Put -3, -2, q in increasing order. -3, -2, q Let h = 32 - 29. Put -2, 10, h in decreasing order. 10, h, -2 Suppose -4 = -6*t + 4*t. Put -23, 0, t in decreasing order. t, 0, -23 Let d = 195 - 2533/13. Sort d, -8, 1 in descending order. 1, d, -8 Let q be (0/(-2))/(2/(-2)). Let y(x) = x**3 + 6*x**2 + x + 7. Let u be y(-6). Let s be 3 + (-2)/u - 5. Sort q, 3, s in ascending order. s, q, 3 Let g be (0 - -1)/((-2)/(-10)). Suppose 12 = -21*y + 18*y. Sort 7, g, y in ascending order. y, g, 7 Suppose 0 = -4*c + 4*i - 24, 3*c - 2*i + 4*i = -13. Let f = -22 + 27. Sort -1, f, c in decreasing order. f, -1, c Let h be 33/(-9) + (-3)/9. Let r = 0 + h. Sort 1, 5, r in increasing order. r, 1, 5 Let n = 0.04 - 7.04. Sort n, 3, -0.1. n, -0.1, 3 Let h = -23 + 28. Put h, -1, 11 in decreasing order. 11, h, -1 Let c(t) = t + 9. Let l be c(-6). Sort l, -6, -5 in increasing order. -6, -5, l Let x = 2.1 - 1.5. Let v = -0.1 + x. Sort v, -0.3, 0. -0.3, 0, v Let q(y) = y**2 - 6*y - 12. Let k be q(9). Let f be 4/((-12)/k) + 0. Sort -2/15, 2/9, f. f, -2/15, 2/9 Let w = 53 + -52. Sort -2, -1, w, -3 in decreasing order. w, -1, -2, -3 Let f(b) = b**2 + b - 13. Let m be f(-4). Put -4, 4, m in ascending order. -4, m, 4 Suppose 2*t + 2*t + 64 = 0. Let l be t/(-56) + (-74)/14. Suppose -v + 9 = -2*v - 3*i, -i = -2*v - 4. Put 4, l, v in ascending order. l, v, 4 Let u = -4 - -5. Let o be (24/20)/(u/(-5)). Let h = 10 + o. Put 0, h, -3 in increasing order. -3, 0, h Let s = 2 - 2.5. Let c be (-8)/(-2) + -16*(-27)/(-126). Sort c, 2/11, s in increasing order. s, 2/11, c Let w = 134 + -267/2. Sort w, 3/11, -4, -5. -5, -4, 3/11, w Let l = 3.5 - 3. Let a = -0.9 + l. Put 2/9, a, 2/17 in increasing order. a, 2/17, 2/9 Let t = -5 - -4.4. Let c = -5.6 - t. Let z = c + 5.2. Put z, -5, 3 in descending order. 3, z, -5 Let z be 76/114*(-6)/(-4). Put z, -3, -4, 0 in ascending order. -4, -3, 0, z Suppose -2*l = 2*l + 12. Sort 2, l, 5 in ascending order. l, 2, 5 Let r(y) = y**3 + 10*y**2 + 3*y - 13. Let z(v) = 3*v**3 + 21*v**2 + 7*v - 27. Let q(h) = -5*r(h) + 2*z(h). Let f be q(8). Sort f, -6, -5 in descending order. f, -5, -6 Let g = 0 + 11. Sort -0.2, -4, g in ascending order. -4, -0.2, g Let b = 22 + -16. Let q = 7 - b. Suppose q + 0 = -m. Put -2, m, 0 in decreasing order. 0, m, -2 Let j = -0.11 + 4.11. Let s be 3*-1*2/8. Put -2/15, j, s in decreasing order. j, -2/15, s Let m(d) = -3*d + 16. Let f be m(6). Suppose -2*r = 2*r - 12. Let x be (-9)/r - f*1. Sort 0, -4, x in decreasing order. 0, x, -4 Suppose -3*u + 6*u = 6. Suppose -6 = -2*g - u. Let d be (-5)/((-15)/(-9))*g. Sort -4, 2, d in ascending order. d, -4, 2 Let n = -14 + 11. Let c be (9/6)/(n/4). Let h be 6*(1 - 6/4). Sort h, 2, c in decreasing order. 2, c, h Suppose 3*s - 54 = -2*t + 4*t, -3*t - 71 = -4*s. Let h be 7/((-42)/s)*9. Let g be h/8 + 5/(-20). Put -5, g, -1 in decreasing order. -1, g, -5 Let y(b) = -b**3 + 6*b**2 + 5. Let m be y(6). Suppose -2*f - 4 + 0 = 0. Sort 1/7, f, m. f, 1/7, m Let a = -1 + 1.5. Let x be 2/(-3)*(-6)/(-14). Sort x, a, 3 in increasing order. x, a, 3 Let y(h) = -h**2 + 4*h - 8. Let r be y(4). Let f be 27/(-5) + r/(-20). Put 2/17, -0.2, f in increasing order. f, -0.2, 2/17 Let q(j) = -j**3 - 11*j**2 - 9*j + 5. Let c be (-3)/1 + 2 + -9. Let o be q(c). Let g = 6 + -3. Sort g, -3, o. o, -3, g Let u(x) = -x**3 + 4*x**2 - 3*x + 4. Let l be u(3). Let p = -7 + l. Suppose 0*z + 18 = 4*g + 2*z, g = -4*z + 15. Sort p, 4, g in decreasing order. 4, g, p Let h = -0.9 + 1.5. Let m = 0.8 - h. Sort m, -2, 0. -2, 0, m Let k = -17 + 36. Let b = 19.5 - k. Put 2/7, b, 0 in descending order. b, 2/7, 0 Let y(z) = 2*z - 2. Let i be y(2). Suppose -i*f - f = -12. Put 1, f, -5 in increasing order. -5, 1, f Suppose 5 = -2*k + 3. Suppose 0 = -3*r + q - 5*q + 2, 0 = -4*r + q - 10. Sort 3, r, k in descending order. 3, k, r Let g = 19.9 - 21. Let m = g - -1. Put -0.4, m, -1 in descending order. m, -0.4, -1 Let f be (1 - 1 - 1) + 6. Let n be (4 - f)/(10/8). Let s = -6/67 - 56/871. Sort -0.2, n, s in descending order. s, -0.2, n Suppose -1 = 2*h - 5. Put 0, -5, h in increasing order. -5, 0, h Let v(u) = -u + 2. Let c be v(-2). Suppose p = 2*t - 0*t - 16, -c*p + 2*t = 40. Let g be (-1)/3 - p/6. Put 5, g, 4 in descending order. 5, 4, g Let d = 0.004 + 3.996. Sort d, 11, -2/3 in decreasing order. 11, d, -2/3 Let d = 28.24 + -28. Let g = d + -0.14. Let i = -2 - 2. Put g, 2, i in decreasing order. 2, g, i Let n = -8 + 5. Let i = n + 5. Suppose i*b + 4 = 3*b. Sort b, 5, 1. 1, b, 5 Suppose -2*g + 2*i - 70 = 0, -5*g = 4*i - 5*i + 191. Let p be (g/(-65))/(1/(-5)). Let a = 6/17 - 4/17. Put a, p, -1 in ascending order. p, -1, a Let c be (4 + -1)/3 - -4. Let l be (0 - 1)/((-2)/6). Suppose 0 = l*t - c - 4. Sort t, 5, 1 in ascending order. 1, t, 5 Suppose 0 = -d - 4, -r = 4*r - 2*d + 17. Let h be (1/3)/(r/30). Sort 1, 2, h in increasing order. h, 1, 2 Let z = 4.01 + -0.01. Let n = z + -4. Put -0.4, -0.1, n in decreasing order. n, -0.1, -0.4 Suppose -5*n - 5 = 0, -2*b + n - 8 - 1 = 0. Sort 2, b, 3 in descending order. 3, 2, b Let v(u) = -u**2 - 5*u - 5. Let g be v(-4). Let x be ((-384)/(-189))/(-4) - 8/(-28). Sort x, 1/4, g in increasing order. g, x, 1/4 Suppose 3*p = 26 - 14. Sort p, 2, 0 in descending order. p, 2, 0 Let o be 0 - (5 + (-2 - 1)). Sort 0, 1, o in increasing order. o, 0, 1 Let t = -20 - -11. Let h = 4 + t. Put -2/7, -0.4, h in decreasing order. -2/7, -0.4, h Let v be 13*-8*(-2)/4. Suppose o + v = 4. Let i be ((o/(-14))/3)/(-2). Put i, -1, 3 in increasing order. -1, i, 3 Let l(a) = a - 10. Let d be l(5). Let u = 3 + -2.6. Sort 4, d, u in increasing order. d, u, 4 Suppose -3*l = 5*p + 34, -3*p - 10 = 2*p - 5*l. Let h = p - -2. Suppose 0 = -5*f + 3*i + 15, -7 - 2 = -3*f - 4*i. Sort f, h, 2 in descending order. f, 2, h Let p be 2/(-8) + 19/(-4) + 0. Suppose -3*i + 3 = -5*b, -2*i + 0 = -2*b - 2. Let d = b + 0. Sort 3, p, d. p, d, 3 Suppose 4*k - 7*k = 0. Sort k, 3, 2. k, 2, 3 Let v = -209.7 + 221. Let h = -0.7 - v. Let d = h - -17. Sort 3, d, 2/13. 2/13, 3, d Let x(j) = -j - 1. Let u be x(-1). Let p(y) = y**2 - 12*y + 25. Let m be p(10). Sort -5, m, u. -5, u, m Let j be -6*(-9)/(-6) + 4. Put -10, 2/7, j in increasing order. -10, j, 2/7 Let n be ((-4)/(-6))/(2/6). Let o = -12 + 15. Sort o, -2, n in increasing order. -2, n, o Let r = -85/7 - -12. Let l(v) = 5*v**2. Let m be l(1). Sort m, 4, r in increasing order. r, 4, m Let l be (4 + -5)*((-2)/(-8) - 0). Sort l, 1/3, 2/7 in decreasing order. 1/3, 2/7, l Let w(s) = -s**2 - s + 2. Let x be w(0). Let o = 2 - x. Suppose -5*a - 4*f - 5 = -o*f, 4*a + 5*f = 5. Sort -3, 0, a. a, -3, 0 Let m = 15 + 3. Let c = m - 13. Let i = -5177/15 + 345. Put c, 1/2, i in increasing order. i, 1/2, c Let f = -0.35 + -0.15. Let a = f - -0.3. Put a, 2/19, -3 in increasing order. -3, a, 2/19 Let u be 4 - 2 - (2 - 0). Suppose
{ "pile_set_name": "DM Mathematics" }
* 267. -160.2 357 * 10 3570 Multiply 70 and -52. -3640 What is -1 times -271? 271 Work out -1 * -0.0368. 0.0368 Work out -0.2 * 438. -87.6 Product of 0.53 and -7. -3.71 -0.812 * 0.1 -0.0812 Multiply -4 and 356. -1424 -0.84 * -2 1.68 What is -30.6 times -0.3? 9.18 -39 * 0.3 -11.7 Product of 0.1 and 413. 41.3 -831*15 -12465 What is the product of -286 and -24? 6864 -0.5 times -0.0708 0.0354 Multiply 0.457 and 5. 2.285 What is the product of -326 and 3? -978 What is the product of -1.1 and 8.61? -9.471 Work out -1 * -113. 113 Multiply -0.0128 and 8. -0.1024 Work out -473.2 * -5. 2366 Calculate 1.6*-0.1. -0.16 What is 1 times 0.425? 0.425 -0.4*-547 218.8 What is 29 times -10.1? -292.9 What is the product of 0.45 and 0.4? 0.18 -0.128 * -14 1.792 Multiply -5 and 897. -4485 What is the product of -13 and 3? -39 Product of 59 and 0.8. 47.2 What is the product of 0.5 and -214.5? -107.25 817*0.5 408.5 What is 0.173 times -0.4? -0.0692 -0.0609*0 0 Calculate 0.2*7.1. 1.42 What is -0.4 times -287? 114.8 Product of 1.1 and 0.047. 0.0517 What is the product of 0.2 and -69? -13.8 Multiply 2 and 0.12. 0.24 Calculate -0.0444*0.3. -0.01332 Work out 0.0012 * 0. 0 Product of -0.11627 and 3. -0.34881 Calculate 0*2.04. 0 Work out 0.3376 * 2. 0.6752 5.5*-23 -126.5 -1*-4.8 4.8 Multiply 0.3 and 1963. 588.9 -0.2 * 9.51 -1.902 -0.3 times 0.152 -0.0456 Calculate -13.7*-41. 561.7 Product of 0.2 and -2581. -516.2 0.44 times -218 -95.92 What is 0.47 times -0.1? -0.047 Work out 19.7 * 0.5. 9.85 Calculate 42*-14. -588 Work out 0.3 * 5665. 1699.5 Product of 0.5 and -1451. -725.5 Work out -3 * 468. -1404 -3607 times -1 3607 -5*165 -825 -3 * -177.2 531.6 -1579*0.3 -473.7 Product of -113 and 56. -6328 Work out 1008 * 4. 4032 Calculate 0.7*-0.061. -0.0427 Product of -0.067 and -3. 0.201 Calculate -12*-0.07. 0.84 Calculate 0.7*2954. 2067.8 -0.1 times -2.011 0.2011 -239.1 * 2 -478.2 2*6158 12316 What is the product of -3 and 0.1211? -0.3633 Calculate -284*-0.1. 28.4 What is the product of -0.1 and -71? 7.1 -310.4 times 0.5 -155.2 What is the product of -0.077 and -0.5? 0.0385 3 times 2.528 7.584 Work out 46.6 * -0.08. -3.728 28.98 times 0.4 11.592 0.1 * 23 2.3 Calculate -4*1265. -5060 Work out 5.4 * -0.123. -0.6642 -2150 * -0.6 1290 Calculate 2230*1. 2230 What is the product of 0.03 and 0.13? 0.0039 0.9*-4 -3.6 Work out -4 * -51. 204 0.95 times -0.2 -0.19 -3 * 1.552 -4.656 Multiply -2109 and -7. 14763 21 * -0.04 -0.84 6 times -12 -72 3.3*0.28 0.924 What is the product of -511 and -0.2? 102.2 -0.11*-4 0.44 Calculate 17.3*-165. -2854.5 What is 10 times -2.8? -28 Product of -3 and 0.078. -0.234 Work out -7 * -0.0101. 0.0707 Work out -0.063 * -0.1. 0.0063 80*0.9 72 -0.6*21.2 -12.72 What is the product of 0.003 and -1? -0.003 Calculate 45.9*0.6. 27.54 Multiply -770 and 0. 0 Work out -2 * 13. -26 5235 * -0.2 -1047 What is the product of -0.228 and -0.3? 0.0684 Multiply -0.0264 and -0.4. 0.01056 Calculate 0.5*500. 250 Work out 2 * 55. 110 Multiply 2 and 0.69. 1.38 -26*-0.07 1.82 Work out 10333 * 0.4. 4133.2 543 * 0.09 48.87 -10 * -9 90 What is -0.238 times 12? -2.856 0.3 * -27.5 -8.25 What is the product of -32 and 4? -128 Product of -130 and -0.1. 13 1727 * -0.09 -155.43 What is the product of -4 and -71? 284 Calculate -0.2*-6. 1.2 What is 0.11 times 0.019? 0.00209 Calculate 0.2*-1227. -245.4 Work out -0.2 * -5697. 1139.4 Multiply 273.7 and 2. 547.4 -278.2*-7 1947.4 Work out -0.009 * 2.5. -0.0225 Product of -5 and -63. 315 Multiply 0.5 and 355. 177.5 -21*-1.4 29.4 20507 * -0.4 -8202.8 -4 * 15.5 -62 Product of 0.1 and 33.69. 3.369 Product of -11.6 and 0.3. -3.48 35 times -94 -3290 Calculate -1*0.8. -0.8 2 * 0.022 0.044 What is 3 times -0.264? -0.792 Calculate -0.1*10.6. -1.06 What is the product of 7 and -265? -1855 What is -375 times -0.3? 112.5 -0.0421 * -0.1 0.00421 Multiply 66.67 and -0.5. -33.335 -99*24 -2376 207 * -13 -2691 What is the product of -0.5 and -11.7? 5.85 -1 times -224.7 224.7 What is the product of -0.5 and -4.102? 2.051 -0.165 * 7 -1.155 3.4 times 7 23.8 5*-40 -200 -2.9*-0.33 0.957 0 * 2 0 What is -9 times -32.6? 293.4 Product of 3.2 and -0.03. -0.096 Calculate -0.45*0.1. -0.045 0.8 times -3.4 -2.72 0.57 times 0 0 Work out -6.1 * -0.04. 0.244 Product of 30 and -40. -1200 Calculate -0.89*276. -245.64 Product of -0.03 and -55. 1.65 568*5 2840 Calculate -6.3*-4. 25.2 Work out 0 * -0.175. 0 191 times -51 -9741 -3 * 11.43 -34.29 -0.2*2435 -487 Multiply -2645 and -5. 13225 What is the product of -0.02 and 33? -0.66 Calculate 66*0.4. 26.4 Product of -0.1 and 394. -39.4 Multiply 6 and -0.0562. -0.3372 Product of -7103 and 0.1. -710.3 What is 1206 times 4? 4824 16 * -41 -656 141 * 3 423 -0.3*-1845 553.5 -40 times 0.2 -8 -0.7*-1.2 0.84 -526 times 5 -2630 -76 times -3 228 Product of 16.1 and 1.1. 17.71 29.03 times -5 -145.15 Product of 255 and 2. 510 What is the product of 6.5 and 128? 832 Calculate -107*11. -1177 Work out -162 * -0.1. 16.2 Calculate 71*0.3. 21.3 1.7*-0.0567 -0.09639 Multiply 2 and -14.5. -29 -7 times 10.8 -75.6 Calculate -2.3*3. -6.9 Work out 5 * -0.4. -2 0.5 times 994 497 Product of -0.14 and 11. -1.54 What is 1 times -353? -353 Work out -0.235 * -10. 2.35 Multiply -0.2 and -45. 9 0.29 * 5 1.45 Calculate 0*-180. 0 Work out 4 * -24. -96 What is the product of -109 and 1.9? -207.1 -5*-0.1223 0.6115 -4 times -3438 13752 Calculate 24*-0.1. -2.4 3.8 times 15 57 0.8 times 0.12 0.096 Calculate 5*1958. 9790 Calculate -13*-3. 39 Product of 2061 and -0.3. -618.3 191 times -22 -4202 -0.3 * 5 -1.5 What is 8 times -122? -976 3.3*4 13.2 -0.88 times 1 -0.88 What is the product of 1058 and -3? -3174 What is -48 times -7? 336 Calculate -0.15*0.2. -0.03 What is 0.05 times -7? -0.35 What is the product of 18 and -0.039? -0.702 109.1 times 0.03 3.273 Multiply 280 and 0.5. 140 Calculate -3*331. -993 Work out 465 * 4. 1860 Multiply -1.53 and 0.1. -0.153 Product of -2.28 and 7. -15.96 Work out -306 * 2. -612 Work out -903.3 * -3. 2709.9 What is the product of -0.05 and 1.03? -0.0515 -0.17 times -54 9.18 What is -123 times -31? 3813 300 times 20 6000 Product of 0.5 and -77. -38.5 100.4*3 301.2 Product of 2.7 and -12. -32.4 Multiply 0 and 0.203. 0 Product of 15 and -58. -870 Product of 31 and -4.5. -139.5 What is -0.16 times -3.4? 0.544 Multiply 1224 and -1. -1224 -4 times 0.06261 -0.25044 2*-5169 -10338 -1.365 * 0.3 -0.4095 What is the product of 38 and -2? -76 25 * -0.11 -2.75 -0.5 times -1.5 0.75 What is the product of -2 and 0.1914? -0.3828 0.1*33 3.3 -0.044*5 -0.22 -1*162 -162 What is 0.94 times -1.48? -1.3912 What is the product of 0.01 and -0.04? -0.0004 Calculate -5480*-1. 5480 Multiply 3 and 0.34. 1.02 0.2 * 0.446 0.0892 What is 0.4 times 420? 168 30*-19 -570 -0.3 * 0.16 -0.048 Product of -5.26 and 1. -5.26 421.17 * 2 842.34 -0.5*2.9 -1.45 Multiply -0.4 and 0.607. -0.2428 -4 * -1.4 5.6 What is 2914 times -0.4? -1165.6 -0.13 * -0.6 0.078 Multiply -0.07 and -0.0026. 0.000182 Calculate 0.5*1441. 720.5 59*64 3776 -4435 times -5 22175 What is -0.0101 times -0.5? 0.00505 What is the product of -57.5 and 0.2? -11.5 Work out -21 * -1441. 30261 What is 6 times -29.2? -175.2 Multiply 0.05 and -13. -0.65 What is the product of 9.5 and 0.9? 8.55 -145*-28 4060 What is the product of 0.3375 and -0.4? -0.135 What is -28.6 times -2? 57.2 5.66*0.2 1.132 -0.424*-0.14 0.05936 Calculate -455*-0.05. 22.75 Work out -0.1 * -6.4. 0.64 Multiply 328 and -1. -328 What is 1 times -2122? -2122 Multiply -0.2 and 1.342. -0.2684 Multiply -0.1589 and 0. 0 What is 11.96 times 0.11? 1.3156 897 * 17 15249 Calculate -0.3*-0.077. 0.0231 Calculate -0.01*-3. 0.03 Calculate 0.027*-3. -0.081 Work out -5 * 9.51. -47.55 Multiply 0.075 and -2. -0.15 50 * -3 -150 Multiply -7.024 and 0. 0 15.9 times -31 -492.9 What is the product of -0.2 and -1514? 302.8 Product of 3 and -0.3. -0.9 Calculate -35*-97. 3395 Work out 21 * 0.02. 0.42 Multiply 0.07 and 1.956. 0.13692 Product of 13 and 0.6. 7.8 What is -0.05 times 9? -0.45 Work out -21 * 7.7. -161.7 What is the product of -0.35 and 0.11? -0.0385 -11 * -8 88 -48 * -3 144 Calculate -0.1*-0.35. 0.035 Calculate 3.1*0.0484. 0.15004 -0.1 * -111 11.1 -29 times -0.1 2.9 Calculate -0.1*18. -1.8 Multiply 0.5 and -709. -354.5 Multiply -1.01 and 0.1. -0.101 Work out 5 * 1284. 6420 0.8 *
{ "pile_set_name": "DM Mathematics" }
y (sqrt(176)*-4)**2 + sqrt(264)/(sqrt(42)/sqrt(7)). 2*sqrt(11) + 2816 Simplify (-1*6*(sqrt(209) - -2*sqrt(209)))/(sqrt(891)*1 + -2*sqrt(11)*-4). -18*sqrt(19)/17 Simplify ((3 + sqrt(567)*2 + -5 + sqrt(567) + sqrt(567) + -2 + 2)*-5)**2. -3600*sqrt(7) + 226900 Simplify -6*6*(2*sqrt(3))**2 - ((-2*sqrt(27))/sqrt(9) + sqrt(3) - (sqrt(300) + 1)). -431 + 11*sqrt(3) Simplify (2*(sqrt(77)/(-1*sqrt(11)) + -1)*6)**2*2. 576*sqrt(7) + 2304 Simplify (-5*sqrt(44)/sqrt(2)*-3)/(sqrt(176)*1*6). 5*sqrt(2)/8 Simplify ((sqrt(192) + 0 + 0 - (-1*(2 + sqrt(192)) + sqrt(192) - sqrt(192)))*-5)**2 + 1. 1600*sqrt(3) + 19301 Simplify (sqrt(425)*-4 - ((sqrt(68) + 2)**2 - sqrt(68))) + sqrt(136)/(sqrt(32) + sqrt(8))*-1. -79*sqrt(17)/3 - 72 Simplify (-1*sqrt(2754) - -1*sqrt(850))/(sqrt(162)*-1*5). 4*sqrt(17)/45 Simplify (0 + sqrt(300) + (sqrt(300)*2 - sqrt(300))**2 + -4 + -1)*4 + -3. 40*sqrt(3) + 1177 Simplify 0 + (sqrt(52)*6)**2 + -4 + sqrt(65)/sqrt(5) + (((4*sqrt(78) + sqrt(78))/sqrt(6))**2 - sqrt(13))*5. -4*sqrt(13) + 3493 Simplify ((sqrt(204)/(sqrt(108)*2))**2 - (4 + (sqrt(17) + sqrt(153) + 1)**2))*4. -9955/9 - 32*sqrt(17) Simplify (sqrt(133)*-1*-3*-2)/(sqrt(35)/(-2*sqrt(5)) + -6*sqrt(7)*2). 12*sqrt(19)/25 Simplify ((sqrt(60) + (sqrt(60) - sqrt(240)/sqrt(4)))/sqrt(5)*1)/(sqrt(6)*-1*-4 - sqrt(30)/(-2*sqrt(5) + sqrt(5))). sqrt(2)/5 Simplify ((sqrt(252) - (sqrt(252) + 1))*-1)**2 + (sqrt(252)*2*-3)**2 + sqrt(252) + -5. 6*sqrt(7) + 9068 Simplify 3*((sqrt(3) - ((-3*sqrt(18))/sqrt(6))**2) + -2 + 5*(-1 + 1 + sqrt(3))**2). -42 + 3*sqrt(3) Simplify (2*((sqrt(612) - (sqrt(612) - (sqrt(612) + -2 + sqrt(612)))) + (sqrt(34) + sqrt(136)/sqrt(4))/sqrt(2)))**2. -224*sqrt(17) + 13344 Simplify 4 + 3 + -2 + sqrt(2736) - -5*(-1 + (sqrt(2736) + -1)**2). -108*sqrt(19) + 13685 Simplify ((2*(sqrt(27) + 1*sqrt(27)) - (sqrt(432) - sqrt(27))*4)/(sqrt(1089) - -5*sqrt(1089)*-3))**2. 48/5929 Simplify (1*sqrt(95)*2)/(5*(sqrt(45) + sqrt(5))) - (3*((-1*sqrt(931) - sqrt(931)) + sqrt(931)) + -1)**2. -8380 - 419*sqrt(19)/10 Simplify 5*sqrt(1008)*2 - ((sqrt(70)*4 + sqrt(70) - sqrt(70)) + sqrt(70))/sqrt(10)*-6. 150*sqrt(7) Simplify (5*(3 + 1 + sqrt(76))*2)**2. 1600*sqrt(19) + 9200 Simplify (-3 + ((1*sqrt(612))**2 - sqrt(612)))*-1 - (-6*((sqrt(17) + sqrt(1700) + -1)**2 + sqrt(17)) + -3). -120*sqrt(17) + 11742 Simplify 5*(-2 + -2*-2*sqrt(2)*6 + (sqrt(256) + (sqrt(256)*-1 - sqrt(256) - sqrt(256)))/sqrt(8)). -10 + 80*sqrt(2) Simplify (2 + 2 + 3*sqrt(98) + -3 + 0)**2. 42*sqrt(2) + 883 Simplify (sqrt(168)/(sqrt(144) - sqrt(4)))/(sqrt(216)*-1). -sqrt(7)/30 Simplify (6*(sqrt(78) - (sqrt(78) + sqrt(78)*4) - sqrt(78)))/(sqrt(432)/sqrt(8)). -10*sqrt(13) Simplify -3 + (((3*sqrt(99) + sqrt(99) - sqrt(99))*-2 - sqrt(99))/sqrt(9) - (sqrt(88)/sqrt(8)*-5 + -3)). -2*sqrt(11) Simplify (-3 + (sqrt(300)*-4 - sqrt(300) - (sqrt(300) + sqrt(3))*5))**2. 630*sqrt(3) + 33084 Simplify (-6*(1 + sqrt(833)) + -4 + -2*sqrt(833) + -5)*2. -112*sqrt(17) - 30 Simplify ((5*sqrt(12)/sqrt(4))**2 - sqrt(6)/(sqrt(2)*-1)) + 1 - 6*(sqrt(12)/(sqrt(28)/(sqrt(28)/sqrt(4))))**2. sqrt(3) + 58 Simplify 1 + sqrt(5) + 3*sqrt(125) - ((sqrt(5) + -2*sqrt(5))*1 - sqrt(15)/(sqrt(12)/sqrt(4))). 1 + 18*sqrt(5) Simplify ((sqrt(12) - (sqrt(84)*6)/sqrt(7) - sqrt(12))/(sqrt(576)*2))**2. 3/16 Simplify ((-1*sqrt(12))/sqrt(2) + sqrt(6))/(sqrt(162)*2). 0 Simplify (-1*sqrt(13) + 4 + sqrt(13)*-1 + -4)**2 + 3 + ((-3*(sqrt(130) - (sqrt(130)*2 + sqrt(130))) + sqrt(130))/sqrt(10))**2. 692 Simplify (sqrt(432)/sqrt(2)*-5)/(2*(sqrt(12) - -4*(sqrt(12) + (1*sqrt(12) - sqrt(12)) - sqrt(12)))). -15*sqrt(2)/2 Simplify ((sqrt(605) - (sqrt(605) + (sqrt(605) - -3*(sqrt(605) - (sqrt(605) + 2) - sqrt(605)))) - (sqrt(605) - (sqrt(605) + -2 + 3 + sqrt(605))))**2 + 4)*1. 462*sqrt(5) + 5498 Simplify -2*2*(2*sqrt(3))**2 - (0 + (6*sqrt(300) - sqrt(300) - sqrt(300)))**2. -4848 Simplify ((sqrt(95)*3*3)/(-3*sqrt(605)))**2 + 4. 655/121 Simplify ((-6*sqrt(132)*4 - sqrt(132))/(sqrt(132)/sqrt(44))*-1)**2. 27500 Simplify ((-4 + 1*(0 + sqrt(2299) + -1 + sqrt(2299)) + 4)*-1)**2. -44*sqrt(19) + 9197 Simplify (((sqrt(252) - (-2*(sqrt(252) + sqrt(252)*2) + sqrt(252))) + sqrt(252))/sqrt(12))/(sqrt(33)/(sqrt(11)*2) + (sqrt(12)*2)/sqrt(4)). 14*sqrt(7)/5 Simplify 5 + (-1 + (3*sqrt(891) + sqrt(891))*-5)**2*5. 1800*sqrt(11) + 1782010 Simplify (sqrt(18) + (sqrt(180)*2 + sqrt(180) + sqrt(180) + sqrt(180))/sqrt(10) + sqrt(18) + sqrt(450) + -1*sqrt(450))/(2*(sqrt(294) - -1*sqrt(294))). sqrt(3)/4 Simplify (sqrt(4050) + (sqrt(4050) - 5*(sqrt(4050) - (sqrt(4050) - sqrt(4050)*4)) - sqrt(4050)))/(sqrt(50)/(sqrt(5) - sqrt(315)/sqrt(7))). 342*sqrt(5) Simplify (-2*(5*(sqrt(76) + -1) + (sqrt(76) + -1 + -1 - sqrt(76))))**2. -560*sqrt(19) + 7796 Simplify 1*(sqrt(704) + 1 + 0)**2 + (sqrt(704)*-2 + -1)*5. -64*sqrt(11) + 700 Simplify 2 + (((sqrt(84) + (sqrt(84) + sqrt(84) + 1*sqrt(84) - sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84) + sqrt(84) + sqrt(84))/sqrt(6))/(2*sqrt(98)). 2*sqrt(7)/7 + 2 Simplify -4*((sqrt(1053) - (sqrt(1053) - (sqrt(1053) + 2)*4)**2) + 2) + -4. 1692*sqrt(13) + 38152 Simplify (0 + -3*sqrt(275)*-3 + 3 + 2)**2. 450*sqrt(11) + 22300 Simplify -1 + ((sqrt(65) + sqrt(65)*-1)/sqrt(5) + sqrt(468) + 5)**2. 60*sqrt(13) + 492 Simplify 3 + (1*sqrt(162)*6)**2 + (4 + sqrt(162))**2 + -3. 72*sqrt(2) + 6010 Simplify (sqrt(3800)*-2)/((sqrt(2) - sqrt(2)*2)*1). 20*sqrt(19) Simplify -4 + (4 + (sqrt(588) - sqrt(12)) - sqrt(12))**2*2. 160*sqrt(3) + 628 Simplify 1*((1 + sqrt(171) + 1)**2 + sqrt(171) + 1). 15*sqrt(19) + 176 Simplify -2*sqrt(3)*1 + -3 + sqrt(24)/(sqrt(32)*-2). -9*sqrt(3)/4 - 3 Simplify (sqrt(56) + sqrt(6776)*-2 + -1*sqrt(504))/(-2*(sqrt(80) - (sqrt(80) + (sqrt(80) + -3*sqrt(80) - sqrt(80))))/sqrt(10)). 4*sqrt(7) Simplify ((-4*sqrt(175) + 3)*4 + 4 + 2*(3 + sqrt(175) - sqrt(175)))**2. -3520*sqrt(7) + 45284 Simplify (2*-5*(sqrt(475) + 2) + 0 + 2)**2. 1800*sqrt(19) + 47824 Simplify -1 + -6*(sqrt(112) + (sqrt(112)*2)**2)*-5 + 4. 120*sqrt(7) + 13443 Simplify -1*(sqrt(76) - (-1 + sqrt(76)))**2*2 + (0 + sqrt(1216) - (sqrt(171) - sqrt(19))*-2) + -5. -7 + 12*sqrt(19) Simplify (sqrt(19) - ((sqrt(19) - ((sqrt(19) + sqrt(2299)*2 + sqrt(2299))**2 - sqrt(19))) + sqrt(19))) + 4*-1*sqrt(19) + 6*6*(sqrt(19) + sqrt(19) + sqrt(684)). 282*sqrt(19) + 21964 Simplify (sqrt(1188)*-1 - sqrt(33) - 2*sqrt(1188))/((sqrt(44)/sqrt(2)*3)/sqrt(2)). -19*sqrt(3)/3 Simplify -3 + (sqrt(147) + -1 + sqrt(147) - sqrt(60)/sqrt(5))*-1. -12*sqrt(3) - 2 Simplify -2 + ((sqrt(38) - sqrt(266)/sqrt(7)*4)/(sqrt(882) - sqrt(18) - sqrt(18)))**2 + -3. -106/25 Simplify (-2*sqrt(49)*3)/(-4*sqrt(448)). 3*sqrt(7)/16 Simplify 4 + -4 + (sqrt(1216)*1 + -1)*5. -5 + 40*sqrt(19) Simplify -6*((2 + 0 + sqrt(1700) + -2 + 3)*3)**2. -92286 - 3240*sqrt(17) Simplify 0 + (1 + (sqrt(832) + 0 + sqrt(832))*-6)**2 + -2. -192*sqrt(13) + 119807 Simplify (4*-4*sqrt(15))/(sqrt(3) - sqrt(363)*6). 16*sqrt(5)/65 Simplify (4*sqrt(24)*2*-1)/(sqrt(192) + sqrt(192) + (-2*sqrt(192) - sqrt(192))*-3). -2*sqrt(2)/11 Simplify 5*(-4 + 1*((sqrt(75) - -2*sqrt(75)) + sqrt(75))**2 + -2). 5970 Simplify 2*((1*sqrt(4900))/(sqrt(112)*2 + sqrt(112)))**2. 175/18 Simplify 1*(4 + (sqrt(432) - (sqrt(432) + sqrt(432) + -4*(-2 + sqrt(432)) + sqrt(432))) + 3)**2. -48*sqrt(3) + 1729 Simplify ((1*(sqrt(2662)*-2 - sqrt(2662)))/((sqrt(121) + sqrt(121)*2)/sqrt(11)*1))**2. 242 Simplify 1*(4 + sqrt(7) + -1 - (((sqrt(70) - -1*sqrt(70)) + sqrt(70))/sqrt(10))**2). -60 + sqrt(7) Simplify sqrt(304) + -1 + (-3 + sqrt(684) - sqrt(19)) + 0. -4 + 9*sqrt(19) Simplify -2*(sqrt(95) - sqrt(95)*-2*-6)/(sqrt(45)*2). 11*sqrt(19)/3 Simplify (((sqrt(300) + -4 + sqrt(300)*2)**2 - ((0 + sqrt(300) + sqrt(300) + sqrt(300) + 5 + sqrt(300))**2 + sqrt(300))) + -4)*-5*-4. -42260 - 13000*sqrt(3) Simplify -6*(-2 + sqrt(384)/sqrt(8)) - (sqrt(96)*4 + sqrt(96))/sqrt(2)*-1. -4*sqrt(3) + 12 Simplify -3 + -2 + (sqrt(39) + sqrt(1404)*3)/sqrt(3) + -3. -8 + 19*sqrt(13) Simplify -5 + -1 + sqrt(931) - (sqrt(1539) + 0 + sqrt(1539) - (4 + sqrt(19)*-1))**2. -6881 + 159*sqrt(19) Simplify (-1*-2*(0 + sqrt(7) + sqrt(49)/sqrt(7) + sqrt(7)) + -4)**2. -48*sqrt(7) + 268 Simplify (sqrt(18)*6)**2 + (sqrt(20)*1 + sqrt(20))/sqrt(10) + sqrt(10)/(-1*sqrt(320) - sqrt(5)). 17*sqrt(2)/9 + 648 Simplify (4 + 1 + sqrt(2)*-1 + 4 - 2*-1*sqrt(8)*-6)**2. -450*sqrt(2) + 1331 Simplify -3*(sqrt(11)
{ "pile_set_name": "DM Mathematics" }
second biggest value? (a) q (b) 4/3 (c) 1/4 (d) -257/2 c Let f = 900941/10 - 90094. Let x = -0.8 + 1. What is the second smallest value in f, x, 7? x Let m = 43.85 + -44. Let w be 4/(-26) - 10*(-3)/(-312). Which is the second biggest value? (a) w (b) m (c) -0.3 a Let p = 237.25 + -240.25. Let i = -17/6 - -10/3. Which is the second smallest value? (a) -9 (b) p (c) i (d) -0.5 b Let c = -42584/15 - -14198/5. Suppose n - 51 = 3*j + 4*n, 0 = -4*j - 5*n - 70. What is the second smallest value in c, -0.1, j? -0.1 Let g = -0.264 - 6.736. Let i = 7.1 + g. Which is the biggest value? (a) -1/5 (b) i (c) -7 b Let s = -31.9 + -0.1. Let n(f) = -187*f + 13281. Let w be n(71). Which is the biggest value? (a) s (b) 1/3 (c) w c Let p = -0.4 + 0.8. Let m = -360.102 + 0.102. Let c = 347 + m. What is the third biggest value in -1/3, p, c? c Let r = 17.2 + -4.2. Let t = 36.5 - r. Let n = -23 + t. Which is the third smallest value? (a) n (b) -13 (c) 1/3 a Let w = 0.218 - 154.218. Let s = -158.66 - w. Let j = 0.34 - s. What is the third biggest value in 3, -6, j? -6 Let s(t) = 16*t - 508. Let z be s(32). What is the smallest value in -1, -2/9, 9, 5, z? -1 Let a = -5263 - -5258.9613. Let c = 0.0387 + a. What is the second biggest value in 1, c, -2.4? -2.4 Let k be -1*(55/25 - 5/25). Which is the smallest value? (a) -1 (b) k (c) -846 c Let k = 25.831 + 1.169. Which is the third smallest value? (a) k (b) 21 (c) -2 a Let v = 299 + -299.078. Let r = -0.478 - v. Which is the third biggest value? (a) r (b) -6/11 (c) 3/2 b Let g = 4.90914 - -0.09086. Let r = -0.02 - -0.02. Suppose -2*p - 2 + 14 = 0. Which is the second biggest value? (a) g (b) r (c) p a Let g be (-621)/828 - (2 + 46/(-8)). Which is the third biggest value? (a) g (b) 1.25 (c) -3/5 c Let x = 325.9633 - -0.0367. Let s = 328 - x. What is the second smallest value in 0, s, 1/23? 1/23 Let y = -138.71 - -138. Let t = y - 1.39. Let d = -1.7 - t. What is the second smallest value in d, 5, 1/5? d Let m = 25553 + -25551. Which is the fourth smallest value? (a) 9/8 (b) 19 (c) m (d) 1/2 b Let a = 5569 - 217184/39. What is the biggest value in -4, a, 2? 2 Let o = -3 + 2. Suppose -7*t + 32 = 23*t + 2. Which is the second smallest value? (a) o (b) -2 (c) t a Let f = -2.3 - -2.35. Let k = f + -5.05. Let q be (-8)/(-48)*6/(-3). Which is the second biggest value? (a) k (b) 1/4 (c) q c Let i = -0.14 - -0.04. Suppose 3*z + 117*t - 33 = 114*t, 2*t - 10 = 0. Which is the third biggest value? (a) 4 (b) z (c) i c Suppose -23*l - 6 = -29*l. Let o = 20 - -2. Let g = 26 - o. Which is the second smallest value? (a) -1/6 (b) l (c) g (d) -2 a Let q = 246.37 + -241.37. What is the third biggest value in 2/3, q, 0.00075? 0.00075 Let p = 134 + -260. Let z = 116 + p. Which is the second biggest value? (a) -5 (b) z (c) -0.5 a Let f = -7 + 6.6. Let l = -3.46 - -0.46. Let a = 0.535 - 0.035. What is the biggest value in a, l, f? a Let q = -0.17 + -1.63. Let b = 3825 + -3830. What is the second biggest value in b, -1/3, q, 0.2? -1/3 Let k = -199 + 206. Let f be (8/(-2))/((-238)/k). What is the biggest value in f, 0.3, -0.4, -2/7? 0.3 Let m = 123 - 118. Let t be 2/(-10) + (-29)/5 + 2. What is the third smallest value in t, 8, m? 8 Let h be (-1)/((0 - (-6)/(-4))/12). Let p be h/(-224)*-8*-2. Which is the second smallest value? (a) p (b) 8/5 (c) -2 a Let f = 0.82648 + -0.32648. Which is the second biggest value? (a) 0.4 (b) -1/4 (c) -5/4 (d) 121 (e) f e Let t = 8.2 + -87.2. Let p = t + 88.3. Let l = p - 5.3. Which is the second biggest value? (a) -1/7 (b) -1 (c) 3 (d) l c Let m = 11532.9 + -10887.21. Let z = m - 646. Which is the third smallest value? (a) 3/4 (b) -2 (c) z a Let u = -0.3073 + -0.0927. Let r = 85 - 84.7. Which is the fourth smallest value? (a) -1/4 (b) u (c) -9 (d) r d Let i = -0.88 - -0.18. Let d = i - -1. Suppose y - 9 = -0*y - 2*w, -y - 3*w = -15. What is the second smallest value in -2/13, y, d? -2/13 Let l = 23640 + -23639. What is the second smallest value in 1/167, 0.01, l, 5, -0.5? 1/167 Let s = -2.87 - -5.87. Suppose 8*l - 9*l = 42. What is the second smallest value in l, 1, s? 1 Let m = 2189 + -2194. Let h = 2.74 + -6.74. Which is the fourth smallest value? (a) m (b) 5 (c) -2/49 (d) h b Let w = 20 + -18. Let l = 0.051 - 0.421. Let n = -0.37 - l. Which is the third smallest value? (a) 1/4 (b) n (c) -2/31 (d) w a Let x = -0.6 - -0.1. Let u = -197.41 - -189.41. Which is the smallest value? (a) 4 (b) u (c) x b Let i be 20/(-15)*9/30. Let y = -1400098/88630079 + 6/69623. Let g = -6/67 + y. Which is the smallest value? (a) 0.3 (b) i (c) g (d) -5 d Let k = 6.29 - 6.49. Which is the third smallest value? (a) k (b) -57 (c) -3/2 a Let y = 28.93 - -0.07. Let a = y - 19. Let t = -3 + a. What is the third smallest value in t, 3/7, 2/7? t Let i = -686.7 - -689.7. What is the third biggest value in 0.5, 48/13, i? 0.5 Let m = -3391 - -3390. Let i = -10.2 - -10. What is the biggest value in -7.1, i, m? i Let y be 7/5 - 1 - (-17088)/(-120). Let w = y - -996/7. Let o = 0.8 + -0.9. What is the third biggest value in 0.1, o, w, -5? o Let c = -28.956 - 0.044. Let v = 1033/10 + -7191/70. What is the second biggest value in v, c, -5? -5 Let o be (-3)/30*(-2 - (-3 - -2 - 5)). Which is the second biggest value? (a) -4/25 (b) 3 (c) o (d) 4 (e) -5/3 b Let m = 6842 - 6846. Which is the third biggest value? (a) m (b) 2/5 (c) -946 c Let g = -536/3 + 1073/6. Let p(b) = 33*b + 30. Let h be p(-1). What is the biggest value in g, h, -3.02, 2? 2 Let r = 125 - 124.9. Let i = -3.8 - 20.2. Let k = -20 - i. Which is the second biggest value? (a) k (b) r (c) -0.11 b Let i = 1964 + -1967. What is the biggest value in i, -0.4, 10.7? 10.7 Let l be 6/15 - (-46758)/330. Let a = 142 - l. Let j(o) = -4*o - 59. Let y be j(-15). What is the third biggest value in a, y, 0.2? a Suppose -41*r + 117093 = -4431. Let l be r/3230 - 8/10. Which is the biggest value? (a) l (b) 5 (c) -2/9 b Let v = 5 + -7. Suppose 0 = -5*k - 0*r + 2*r + 148, -2*k - 4*r + 64 = 0. Let z be (60/(-825))/(2 + (-56)/k). Which is the smallest value? (a) v (b) 1 (c) z a Let w = 20.097 + -4535.097. What is the third smallest value in 2/5, 0.1, w? 2/5 Let f = 9267 - 9270. What is the biggest value in f, -0.5, -21/34? -0.5 Let o = 35/1186 + -3037/22534. Which is the biggest value? (a) o (b) 0.336 (c) -0.3 (d) 0.3 (e) 1 e Suppose -4*z = -12, -3*i + 6*i - 5*z + 33 = 0. Let s be 63/i*(-60)/385. Which is the smallest value? (a) 4/3 (b) -4 (c) s (d) -0.5 b Let z = 37 - 332/9. Let r = -0.0489917 + 4.0489917. Which is the biggest value? (a) 1 (b) 0.03 (c) r (d) z c Suppose 2*c = 4*l - 40, 0 = c + 4*l - 2 + 4. Let f be (10 - 14)/((-1)/2*c). What is the third biggest value in -0.1, 1/4, f? f Let h = 1.344 - 1.21. Let u = h + -35.334. Let v = 36 + u. What is the smallest value in -0.1, 0, v? -0.1 Let m = -0.2 + 0.7. Suppose 71 = -5*f - 49. Let v be f/28 - 3/((-6)/2). Which is the second biggest value? (a) v (b) 0.3 (c) m b Let z be 1 + 42/(-9) + 3. Let g(f) = -f**3 + 52*f**2 - 664*f - 74. Let s be g(23). Which is the fourth biggest value? (a) s (b) 2/5 (c) -29 (d) z c Let o = 0.745 + 0.255. Let v = -0.078 - -2.078. What is the biggest value in v, -0.1, o? v Let g = -1672.5 - -1672.592. Let h = -0.062 - -0.05. Let w = g + h. Which is the second biggest value? (a) 4 (b) w (c) -5 b Let z be 14*(49/14 + -4). Let s(x) = x**3 + 5*x**2 - 18*x - 33. Let f be s(z). Which is the smallest value? (a) 2 (b) f (c) -3 (d) -23 d Let u = -219/55 - -19/5. What is the smallest value in u, 4, -19, 0.4? -19 Let w = -1.56 - 85.44. Let k = 86.5 + w. What is the biggest value in 0.07, 2/11, k, -4/5? 2/11 Let x = 22/7 + -571/175. Let z = -10152.4 - -10152. Which is the fourth smallest value? (a) z (b) 1 (c) 3 (d) x c Let m = -4884 - -4875. Which is the biggest value? (a) 0 (b) 7 (c) m (d) 0.1 b Let y be -1*(1 + -11 - -2). Suppose -2*a = 2*d + 6 + 2, y = -d - 3*a. What is the second smallest value in -0.2, 5/2, d? -0.2 Let b = -0.4 - -0.1. Let c = -91.392 - -88.392. Let u = 0.05 - -2.95. What is the third biggest value in u, b, c? c Let f = -37.61 - -36.4. Let y = f + 1.31. Let b = -5 + 3. What is th
{ "pile_set_name": "DM Mathematics" }
*1 + sqrt(1573) + -1)) + 2)**2. -352*sqrt(13) + 25188 Simplify (-1*(5 + 5*(-1*sqrt(891)*-4 - -5*(-2 + sqrt(891)))))**2. -36450*sqrt(11) + 1806300 Simplify (5*(sqrt(120)/sqrt(2)*5)/(-5*sqrt(16)/sqrt(4)))/(sqrt(27)/(sqrt(9)*1*-4) - -2*sqrt(768)). -20*sqrt(5)/127 Simplify ((-6*((sqrt(128) - -1*sqrt(128)) + 3) - (-6*sqrt(4)/sqrt(2) + (sqrt(2) + 4)*-6))*6)**2. -36288*sqrt(2) + 509328 Simplify (1 + (-2*-1*sqrt(144))/((sqrt(120)/sqrt(5))/sqrt(3)))*-1. -6*sqrt(2) - 1 Simplify ((3*sqrt(495))/sqrt(11) - (sqrt(3645)*-3 + sqrt(3645)))/((sqrt(72) - 1*sqrt(72) - sqrt(72))/sqrt(8) - sqrt(9) - sqrt(27)/(sqrt(21)/sqrt(7))). -7*sqrt(5) Simplify -2*5*(((5*(sqrt(76) - (sqrt(76)*1 + sqrt(76))) + sqrt(76))*6)/(sqrt(8)/sqrt(2)*1 + 5*sqrt(36)))**2. -855/2 Simplify (6*sqrt(810) + sqrt(810) + sqrt(810) + 5*3*sqrt(10))/(sqrt(45)/(1*sqrt(1296))*4). 261*sqrt(2) Simplify ((2 + ((sqrt(325) - sqrt(325)*-5) + 2 - sqrt(325) - sqrt(325)))**2 - -6*sqrt(325)*1*4) + 4. 280*sqrt(13) + 5220 Simplify -1*sqrt(242) + sqrt(10)/sqrt(5)*-2 + 4 + sqrt(8) + 1 + 2 + -1*sqrt(8). -13*sqrt(2) + 7 Simplify (2*(5 + (sqrt(11)*-1*4 - (sqrt(11) + 1 + 4) - ((sqrt(44) - 4*sqrt(1100)) + sqrt(44)))))**2. 42284 Simplify -2 + -1 + (-5*(3*sqrt(510))/sqrt(10))/((1*sqrt(30))/sqrt(10) + 2*(-1*sqrt(3) + sqrt(3))). -15*sqrt(17) - 3 Simplify -3*-6*(sqrt(76) + 3 + ((sqrt(76) - -1*sqrt(76) - sqrt(76))**2 + sqrt(76) - sqrt(76)) + 5 + (1 + sqrt(76))**2 + -5 + 2). 108*sqrt(19) + 2844 Simplify (((3 + 1 + sqrt(1331) - (2 + sqrt(33)/sqrt(3) + 4 + sqrt(11)*-2))*-1 + 5)*2)**2. -672*sqrt(11) + 6532 Simplify 2*(4*(sqrt(72) + sqrt(72) + (sqrt(72) + 0 + -1 + sqrt(72) - sqrt(72))) + 1 + -5)**2. -2304*sqrt(2) + 20864 Simplify 5 + -1*(2 + sqrt(84)/sqrt(3) + (sqrt(448)*6 - sqrt(28))) + 0. -48*sqrt(7) + 3 Simplify (-3*(-1 + -1 + -5*(sqrt(125) - sqrt(5)) + sqrt(800)/sqrt(10) + -1 + sqrt(5)*-3))**2. 1026*sqrt(5) + 16326 Simplify -2*(1 + -5*(sqrt(612)*4 - sqrt(612)) + (sqrt(612) + -1)*-4 + -3). -4 + 228*sqrt(17) Simplify 4*(-3*(1*sqrt(112) + ((0 + sqrt(7))**2 + sqrt(7))*1) + ((1 + sqrt(252))**2*-4 + sqrt(252))*2). -8180 - 396*sqrt(7) Simplify 5*1*sqrt(325) + -3*sqrt(468)*2 + (sqrt(104)*-1*-1 - sqrt(104))/(sqrt(24)/(sqrt(15)/sqrt(5)) + sqrt(8)). -11*sqrt(13) Simplify (3*((-2*sqrt(484) + sqrt(484))/sqrt(11) + -4 + sqrt(44) + sqrt(44)*-1 - (2 + sqrt(396) + sqrt(11) - (sqrt(275) + sqrt(275) + 1)))*-4)**2. -1440*sqrt(11) + 5184 Simplify (-6*(-4 + (sqrt(4800) + 0)*-2 + 1 + -4))**2. 40320*sqrt(3) + 692964 Simplify 4 + 1 + (-5*-1*sqrt(136)*3)/(sqrt(3200) - sqrt(3200)*2). -3*sqrt(17)/4 + 5 Simplify (((sqrt(325) + (-6*sqrt(325)*-1)**2 - sqrt(325)) + 1 + ((sqrt(325) - (-2*sqrt(325) - sqrt(325))) + sqrt(325) + -3 - (sqrt(325) + 1 + 0))**2)*3 + 0)*-6. -304506 + 2880*sqrt(13) Simplify ((4*(sqrt(77) + (sqrt(77) - ((1*1*sqrt(77) - sqrt(77)) + sqrt(77))))*4)/((3*(sqrt(28) + 1*sqrt(28)))/(sqrt(144)/sqrt(4)))*-1)**2. 704 Simplify (-2*sqrt(171) - sqrt(171))**2 - (sqrt(19) + sqrt(19) + (sqrt(114)/sqrt(54))**2) - ((sqrt(2299) + 2)*2 + 0). -24*sqrt(19) + 13796/9 Simplify (-1*(sqrt(170) + 6*sqrt(170))*5*-6)/((sqrt(1000) + 2*sqrt(1000) - sqrt(10)) + (sqrt(70)/(sqrt(7)*3) - sqrt(10))). 126*sqrt(17)/17 Simplify (3*((sqrt(80) + 2)**2 + sqrt(720) + 2) + 2 + (sqrt(5) - (-3 + sqrt(500))) + 2)*4. 300*sqrt(5) + 1060 Simplify ((sqrt(66)*1*1 + sqrt(66) + sqrt(66) - sqrt(66))/(5*sqrt(11)*-2))/(-1*(sqrt(300) + -3*sqrt(300))*-6). sqrt(2)/600 Simplify (6*3*(1*sqrt(91)*1 - sqrt(91)))/((sqrt(3388)*-1)/((sqrt(40)/sqrt(2))/sqrt(5))). 0 Simplify 2 + (sqrt(11) - (2 + sqrt(275))**2 - ((sqrt(275)/sqrt(5))/sqrt(5))**2) + 5*(sqrt(11) + sqrt(11) + 3) + 4 + -1. -270 - 9*sqrt(11) Simplify (-6*sqrt(60)*2*2)/(-2*sqrt(3)*3 + (sqrt(27)/(sqrt(9) + sqrt(45)/sqrt(5)) - sqrt(3))). 96*sqrt(5)/13 Simplify ((2*(sqrt(70) + sqrt(70)*2 - sqrt(70)))/(-1*sqrt(20)/sqrt(2)))**2 + (2 + sqrt(28) - (4 + 1 + sqrt(7))). sqrt(7) + 109 Simplify ((6*(2 + sqrt(475) - sqrt(475)) - sqrt(475))*1 - (0 + -1 + sqrt(475) + -3)) + -5. -10*sqrt(19) + 11 Simplify (2*sqrt(350)/(-5*sqrt(40)))/((sqrt(196)/sqrt(7))/sqrt(4) - (-6*sqrt(21)/sqrt(3) - sqrt(7))). -sqrt(5)/40 Simplify (-4 + sqrt(52) + sqrt(13))**2 + (sqrt(13) + (sqrt(13) - sqrt(65)/sqrt(5))**2)*-1 - (-3*sqrt(52)/sqrt(4) + sqrt(156)/sqrt(1200) + sqrt(13)). -231*sqrt(13)/10 + 133 Simplify (4*(4 + (-2*sqrt(102)*-3 + -5*sqrt(102)*-1)/(sqrt(864)*2 + sqrt(864) + -3*(sqrt(24)/sqrt(4) + sqrt(6)) + sqrt(6))))**2. 1408*sqrt(17)/31 + 278928/961 Simplify ((-4*(1 + sqrt(75) + 0 + 5) - (0 + sqrt(75) + -1 + 4 + sqrt(75) + 2)) + 0)**2. 1740*sqrt(3) + 3541 Simplify -6*(-4*-1*sqrt(12))/(sqrt(12)/sqrt(27)) + (sqrt(297)*-3)/(sqrt(110)/(sqrt(10)*1)). -81*sqrt(3) Simplify 5*(sqrt(20) + sqrt(980)) - sqrt(160)/sqrt(648) - ((sqrt(720) + (sqrt(720)*2 - sqrt(720)) - sqrt(720)) + 0 + -2). 2 + 610*sqrt(5)/9 Simplify -4*(-5 + 5 + ((sqrt(68) - (sqrt(68) + -4))*4)**2)*3. -3072 Simplify ((5 + 1 + sqrt(1700))**2 + 3 - (1*(-1 + sqrt(1700)) + -1*sqrt(1700)*1)**2)*6 + 0. 720*sqrt(17) + 10428 Simplify 4 + -1 + sqrt(5) + sqrt(5) + (-4 + sqrt(5) + 3)**2 + sqrt(5) + (sqrt(5) - (4*sqrt(45))**2)*3 + -1. -2152 + 4*sqrt(5) Simplify (sqrt(1368)*-3 - sqrt(1368))/(6*sqrt(6)/sqrt(3)) + sqrt(190)/(sqrt(60)/(sqrt(6)*-1)) + (3 + sqrt(2299) + (sqrt(2299) - (-1 + sqrt(2299))))**2. 83*sqrt(19) + 2315 Simplify (-1*(sqrt(960) - sqrt(60)))/((-2*sqrt(120))/sqrt(10)) - -4*(sqrt(245) - (sqrt(245) + 0 + (sqrt(245) + 1)**2)). -984 - 109*sqrt(5)/2 Simplify (4*(-1 + sqrt(405)/sqrt(9)))**2 + (1 + (sqrt(320) - (sqrt(320) + sqrt(320)*3 + sqrt(320) + 3)))**2. 32*sqrt(5) + 5860 Simplify ((-6*(4 + 5*-4*(sqrt(405) - sqrt(405)*1)) + -1)*-5)**2. 15625 Simplify ((6*((sqrt(13) - (sqrt(13) - sqrt(91)/sqrt(7))) + sqrt(13)) + sqrt(13) - (sqrt(1300) - (3 + sqrt(1300)))) + -3 + sqrt(1300)*-2 + sqrt(13) + 1)**2*3. -36*sqrt(13) + 1407 Simplify (sqrt(343) - 1*sqrt(343)*5)*1 + (sqrt(28)/(sqrt(4)*-2) - (sqrt(63) + -1*sqrt(63))/sqrt(9)). -57*sqrt(7)/2 Simplify ((sqrt(6) - sqrt(96))/sqrt(3) + 4 - -5*(sqrt(6)/sqrt(3)*5)**2) + 5*(sqrt(500)/(sqrt(40)/sqrt(4)) + (sqrt(400) - sqrt(400)*1)/sqrt(8))**2. -3*sqrt(2) + 504 Simplify -5*((5 + 6*(-1 + -1*(sqrt(425) + 2)))**2 + 0). -77345 - 3900*sqrt(17) Simplify ((sqrt(1920)*-1 - (sqrt(210)/sqrt(7)*2 + sqrt(30)))/((sqrt(2430)*-1)/(sqrt(432) + -2*sqrt(432))))**2. 1936/3 Simplify 5 + 1*(-1 + sqrt(300))*3*-6*-6*6*3. -1939 + 19440*sqrt(3) Simplify -4*(sqrt(7) + -1*sqrt(28) + -4) + (sqrt(42)/sqrt(6)*6 + (sqrt(112)*-2 + sqrt(112) - sqrt(112)))**2 + -3. 4*sqrt(7) + 41 Simplify 0 + ((4 + sqrt(176)*2 + sqrt(176))**2 - (3 + (sqrt(176)*1 - sqrt(176)) - sqrt(176))) + -4 + sqrt(11)*4 + ((sqrt(440)/sqrt(8))/sqrt(5) + sqrt(11))**2. 104*sqrt(11) + 1637 Simplify (sqrt(6292) + 5*sqrt(6292)*-4 - (4 + 4 + sqrt(6292)))**2*-3. -7550592 - 21120*sqrt(13) Simplify (((sqrt(931) + 0)*-4 + -6*1*sqrt(931))*2 + ((sqrt(931) + (1 + sqrt(931) + sqrt(931))**2)*-3 - (sqrt(931) - ((sqrt(931) - (0 + sqrt(931))) + 0))))*2. -22350 - 504*sqrt(19) Simplify (((-1*sqrt(105)*5)/(sqrt(18)/(sqrt(6) + sqrt(18)/sqrt(3))))/(2*sqrt(80)*-4 - -1*-1*sqrt(80)) + -4)*2. -8 + 5*sqrt(7)/9 Simplify ((sqrt(78)*-1)/sqrt(6) + -5*sqrt(39)/sqrt(3))**2*-4 + (((sqrt(65) + (sqrt(65)*1 - sqrt(65)) - sqrt(65)) + sqrt(65))*-1)/((sqrt(120)/sqrt(4))/sqrt(6)). -1872 - sqrt(13) Simplify 5*(sqrt(13) - sqrt(52))**2 + ((sqrt(13) + 1)**2 + sqrt(13))*-3 + ((sqrt(39)*-1 + sqrt(39))*2)/(sqrt(21)/(sqrt(7)*-1)). -9*sqrt(13) + 23 Simplify 2 + (6*(sqrt(119) - (-6*sqrt(119) + sqrt(119)))*3)/((sqrt(315)*2)/sqrt(5)). 2 + 18*sqrt(17) Simplify 3*(-6*(2*((sqrt(44) + 1 - (2 + sqrt(11)*1 + sqrt(11))) + (0 + sqrt(891) - sqrt(891))*-2) + -2))**2. 1728 Simplify (2*sqrt(2592))/(sqrt(6) + -1*(sqrt(6) + sqrt(294))) + 6*(2 + (sqrt(33) + -3*sqrt(297))/sqrt(11))**2. -1368*sqrt(3)/7 + 1176 Simplify (((sqrt(200) + 1)*6 - ((-1 + sqrt(200))*4 + sqrt(200)))**2 - ((sqrt(200) - (1*sqrt(200) + -5)) + -5))*-4. -1200 - 800*sqrt(2) Simplify 6*((-3 + (sqrt(2) + -3 + 4)**2)*6 + (sqrt(162) + (sqrt(162) + -5 - sqrt(162)) + -3 + sqrt(162))*-5). -468*sqrt(2) + 240 Simplify -5*(-1 + -5 + (sqrt(13)*-2)**2*4 - 3*sqrt(104)/(-3*sqrt(8)*-5)). -1010 + sqrt(13) Simplify ((sqrt(28) + sqrt(112))/sqrt(2))/(sqrt(10)/(sqrt(5)*1)) + sqrt(35)/(sqrt(5) + 1*sqrt(245)) + 1 + sqrt(112). 1 + 57*sqrt(7)/8 Simplify 2*(sqrt(320) + 2) + 5 + (-1 +
{ "pile_set_name": "DM Mathematics" }
c = 249 - 249.314. Let v = c + f. Round v to seven decimal places. 0.0000017 Let o = -1017 + 2248. Let l = -1179.7 + o. Let c = l + -3.6. What is c rounded to zero decimal places? 48 Let a = -760.3087 - -0.9087. Round a to the nearest 10. -760 Let i be ((-52 - -48) + (-1193600)/(-6))*-12. Let m = -4830122 - -742970. Let h = m - i. What is h rounded to the nearest 1000000? -2000000 Let n = 227.4 - 227.399987248. Round n to 7 decimal places. 0.0000128 Let q = 1380 - 799. Let m = q - 575.36. What is m rounded to 1 decimal place? 5.6 Suppose 4*k = -d + 24, -54*k + 4*d = -51*k - 37. Let g(r) = 1285*r**3 + 3*r**2 + 9*r + 35. Let t be g(k). Round t to the nearest 10000. 440000 Let c = -6920569 + 12987669. Round c to the nearest 1000000. 6000000 Let u = -342 + 346. Suppose u*w = l + 330108, -61*l = -62*l + w - 330102. What is l rounded to the nearest 10000? -330000 Let h = 68 + -96. Let k = h + 27.997. Let d = k + 0.002999698. Round d to 7 dps. -0.0000003 Let v = -0.024 - 531.976. Let f = v + 531.9334. What is f rounded to 2 decimal places? -0.07 Let y = 59992 + -34529. Let q(v) = -y*v**3 - 6 - 6 - 8*v - v**2 + 4 + 2*v. Let o be q(-6). Round o to the nearest 1000000. 6000000 Let h = 3.1 + -3.54. Let q = 0.36 + h. Let w = q + 0.15. Round w to two decimal places. 0.07 Let g = 11593002.48 - -840463820.52. Let r = -852056672.0000266 + g. Let b = r + -151. Round b to 6 decimal places. -0.000027 Let k = 1601 - 2016.9. Let l = -439 - k. What is l rounded to zero dps? -23 Let n be (4/2)/((-22)/(-33)). Suppose 0 = -0*w + 5*w - 2*p - 6, 5*w - p = n. Let v be (1124/(-3) - w)/(5/(-375)). Round v to the nearest one thousand. 28000 Let t = -3.66 - 207.34. Let x = 201.3 + t. Let o = x + 9.700049. Round o to four decimal places. 0 Let h = 96.8 - 150. Let j = 53.200843 + h. What is j rounded to four decimal places? 0.0008 Let n = -1637 + 1637.04536. What is n rounded to 2 decimal places? 0.05 Let a(w) = 29816*w**2 + 12*w + 48. Let u be a(-4). Suppose -10*y = -1937056 + u. Round y to the nearest 100000. 100000 Let z = -165.13 + 168. Let m = z - 2.86999395. What is m rounded to seven decimal places? 0.0000061 Let l = -279340.0488 - -279542. Let c = 202 - l. Round c to 2 decimal places. 0.05 Let m = -215.5210697 - -215.512. Round m to 3 dps. -0.009 Let l = -760572 - -341572. What is l rounded to the nearest one million? 0 Let b = -3928 - -5831. Suppose 2*y + 73 = b. Suppose -5*z = -3*l + 2675, 0*z = -l - 3*z + y. Round l to the nearest 100. 900 Let p = -7.8058 + 9.43. Let q = p + -0.1302. What is q rounded to 1 decimal place? 1.5 Let r = 29085.6017 + -29089. Round r to 2 decimal places. -3.4 Let b = -98.0226177 - -0.0259177. Let r = -0.6007 - -98.6007. Let o = r + b. What is o rounded to 4 decimal places? 0.0033 Suppose -7*s = 649 + 12679. Let o = 3494 + s. Let c be 2000/6*-4*o*-1. What is c rounded to the nearest 100000? 2100000 Let o = 705.967 - 665.55. Let t = -469 - -509.2. Let s = o - t. Round s to 2 dps. 0.22 Let r = -2.793 + 29.403. Let f = -0.61 + r. Let o = -0.5 - f. What is o rounded to zero dps? -27 Let p = 33 + -20. Suppose p*m - 19*m = -242760. What is m rounded to the nearest one thousand? 40000 Let s = 4664 + -4694.34. Round s to the nearest 10. -30 Let u = -24.254443 - -24.28. Round u to 2 decimal places. 0.03 Let f = -457 + 456.779. Let j = 0.344 + f. What is j rounded to two decimal places? 0.12 Suppose -4*s + 4*o = 21300, 4*s - 26625 = 9*s + 5*o. Let v be s/(20824/4160 - (-1 - -6)). What is v rounded to the nearest 10000? -920000 Let d = -124.71 + 124.750424. What is d rounded to three dps? 0.04 Let k = 17402 + -9544. Let d = k + -7865.274. Let a = d + 7.1. What is a rounded to two decimal places? -0.17 Let l = -304.00000464 - -304. What is l rounded to six decimal places? -0.000005 Let z be -5*(18*(-9)/(-63))/(5/(-75005)). What is z rounded to the nearest one hundred thousand? 200000 Suppose j + 2*j = 0. Suppose -2*p = 4*u + u + 20, -3*p + 3*u + 12 = j. Suppose p = x + 4*x + 6650000. Round x to the nearest one hundred thousand. -1300000 Suppose -10*o = 4*o - 42. Suppose o*j = -1095 + 195. What is j rounded to the nearest 100? -300 Let l = 97044 + -97043.59017. Round l to three dps. 0.41 Let q(b) = b**2 - 3*b + 1. Let u be q(10). Suppose -4998 = -u*n + 22*n. Round n to the nearest 100. 100 Let b = 213 - 112. Let m = 117.4 - b. Let n = -6.8 + m. What is n rounded to the nearest integer? 10 Suppose 0*g = -5*k - 5*g, 4*k = 2*g. Suppose k = -30*l + 41*l + 8580. Round l to the nearest 1000. -1000 Let q = 13.470000709 - 13.47. Round q to 6 decimal places. 0.000001 Let o = 187802593710 + -187797797515.99974. Let r = -4796236 + o. Let q = r - -42. What is q rounded to 4 dps? 0.0003 Let v = 13.86102 + -708.81092. Let s = v + 695. Round s to two decimal places. 0.05 Let b = -1569.008 + 1559. Let q = b - 131.4. Let n = -142 - q. What is n rounded to 1 decimal place? -0.6 Let o = -8861627 + -3147468. Let m = o + 6959095. What is m rounded to the nearest 1000000? -5000000 Let k(w) = 548847*w + 247. Let u be k(-1). Round u to the nearest one hundred thousand. -500000 Let a = 8 + -4. Let h = -1545109 + 1545104.999949. Let c = a + h. Round c to five dps. -0.00005 Let w = 200 - 200. Let u(c) = -c**3 + c**2 + 4*c + 4240. Let z be u(w). What is z rounded to the nearest one hundred? 4200 Let w = 3.3548 + -3.521. What is w rounded to 1 dp? -0.2 Let j = 3158.996754 - 3159. Round j to three decimal places. -0.003 Suppose i - 2*i = 4*z - 100784, 0 = 4*i + 3*z - 403162. Suppose 5*w + 25190 = 3*y - 2*y, -4*y + 4*w + i = 0. What is y rounded to the nearest one thousand? 25000 Let s = 5558178.20699826 + -5558178. Let r = 0.207 - s. Round r to 6 dps. 0.000002 Suppose m = -2*q - q + 34422, 68836 = 2*m + 4*q. What is m rounded to the nearest 1000? 34000 Let p = -191 + 119.7. Let u = p + -13.7. Let j = u + 85.00000039. What is j rounded to seven dps? 0.0000004 Suppose 0 = -3*x - 11 + 38. Let i(s) = -s + 15. Let v be i(x). Suppose -500000 = t - v*t. Round t to the nearest 1000000. 0 Suppose -4*w + 14766452 = -o, 3*o - 3691626 = -2*w + w. Suppose -451614 + w = -5*i. What is i rounded to the nearest 10000? -650000 Let m = 3603.99988742 - 3604. What is m rounded to six decimal places? -0.000113 Let r = 0 + 0.13. Let q = r - 6.43. Let l = q + 5.91. Round l to 1 decimal place. -0.4 Let m = -0.42 - -0.16. Let u = m + -0.46. Let b = 2.08 + u. What is b rounded to 1 dp? 1.4 Suppose -2*b - 3*y + 8 = -4*y, 14 = b + 2*y. Let u be (3465/(-12) - b)/((-2)/8). Round u to the nearest one hundred. 1200 Let p = -714 + 498. Let f = p + 216.00000405. What is f rounded to 6 decimal places? 0.000004 Let t = -1023.8719 + -0.1281. Let z = t + 1032.09. Round z to the nearest integer. 8 Let r = -32246.0428 - -32255. What is r rounded to 1 decimal place? 9 Let z = -2.2 + 98.2. Let m = 96.00000002 - z. Round m to 6 dps. 0 Let h(y) = 1382976*y + 60. Let a(s) = -6914883*s - 300. Let n(x) = -2*a(x) - 11*h(x). Let w be n(2). What is w rounded to the nearest 100000? -2800000 Let f = 31031.0012924 - 31031. Round f to 3 dps. 0.001 Let t = 15.310001668 + -15.31. What is t rounded to six dps? 0.000002 Let u = -0.49083 - 180.82517. Let o = 6086 - 6267. Let a = o - u. Round a to 2 dps. 0.32 Let d be 0 + (-1)/(-9) - 6245200/2925. What is d rounded to the nearest one hundred? -2100 Let h = -0.0429 + 333.0429. Let q = -332.9999928 + h. Round q to 6 dps. 0.000007 Let v = 10592 - -20589. Let m = v + -31182.7807. Let g = m - -1.77. Round g to three decimal places. -0.011 Let h = -23.65000785 - -23.65. Round h to five decimal places. -0.00001 Let l = -24001.5 - -24910.384. Let h = 860.8 - l. Let j = 48 + h. What is j rounded to two decimal places? -0.08 Let h(y) = -y**2 + 10*y - 6. Let m be ((-108)/21)/(10/(-35)). Let w be h(m). Let r be (-60)/(-3 + 0 - w/52). Round r to the nearest 100. 500 Let r = 276.2105 - 276. Let h = 0.166 - r. Round h to three dps. -0.045 Let r = -13734 - -13734.0013456. What is r rounded to 5 dps? 0.00135 Let t = -4777 + 4776.92414. Round t to 2 decimal places. -0.08 Let m = 8.986946 - 8.909. Let l = 0.077 - m. Round l to four decimal places. -0.0009 Let f = 94.505 - -2.745. Round f to the nearest integer. 97 Let m = -135 - -134.958. Let j = 0.0420055 + m. Round j to 5 decimal places. 0.00001 Let d =
{ "pile_set_name": "DM Mathematics" }
+ w. What is s(n(z))? -4*z**2 Let b = 218 + -218. Let q(n) be the second derivative of 0*n**3 + 0 + b*n**2 - 7/12*n**4 - 4*n. Let y(p) = -2*p. Give y(q(v)). 14*v**2 Let x be -2 - (2 + -4)*2. Let d(s) = 345 - 345 - 3*s**x. Let z(b) = -1 + 1 - 7*b**2. Give d(z(i)). -147*i**4 Let z(i) be the third derivative of i**5/120 - 5*i**3/6 + 16*i**2. Let v(p) be the first derivative of z(p). Let h(r) = -5*r. Give h(v(g)). -5*g Let w(m) be the first derivative of m**3/3 + 74. Let n(h) = -42*h. Let g(b) = 41*b. Let o(i) = -4*g(i) - 3*n(i). Calculate o(w(s)). -38*s**2 Let t(y) = -4*y**2 + 2*y + 553. Let x(d) = -3*d**2. Determine t(x(q)). -36*q**4 - 6*q**2 + 553 Let u(b) = -37*b + 2. Let d(l) = -3958*l. Give d(u(t)). 146446*t - 7916 Let i(k) = -299*k**2. Let x(r) = 10*r**2 - 3*r. Calculate x(i(g)). 894010*g**4 + 897*g**2 Let o(x) = -2*x. Let m(i) = -i**2 + 3*i + 4. Let c be m(3). Let z(y) = 0 - 3*y**2 + 0 - c*y**2. Calculate o(z(h)). 14*h**2 Let f(p) = 2*p**2. Suppose -m + 5*m = -8. Let l be m*(-10)/4 + -4. Let j(h) = l - 11 + 10 - h. Determine j(f(d)). -2*d**2 Let h(k) = 4 + 2398*k - 2342*k - 3. Let d(i) = i**2. Give d(h(t)). 3136*t**2 + 112*t + 1 Let k = 227 - 127. Let h(u) = -8*u**2 - 50*u + k*u - 50*u. Let p(f) = 2*f. Give h(p(w)). -32*w**2 Let w(k) = -13*k + 4. Let d(s) = 3491*s. Give d(w(x)). -45383*x + 13964 Let h(o) be the first derivative of 4*o**2 - 60*o - 326. Let p(d) = 2*d**2. Calculate h(p(g)). 16*g**2 - 60 Let q(n) = 0*n + 2*n - 6*n + n. Let x(g) = 8*g**2. Let z(v) = -4*v**2. Let i(l) = 2*x(l) + 5*z(l). Give i(q(k)). -36*k**2 Let h(m) = 7*m**2. Let y(n) = 5*n - 21. Let z be y(6). Let f(s) = 9*s - z*s - 7*s. Calculate h(f(d)). 343*d**2 Let x(w) = -w**2. Let n = 19 + 71. Let s(d) = 12*d - 34*d**2 - 12*d + n*d**2. Determine s(x(q)). 56*q**4 Let c(t) = -64676*t. Let z(p) = -2*p. Determine c(z(u)). 129352*u Let i(k) = 113*k - 3 - 195*k + 80*k. Let u(g) = -5*g**2. What is i(u(r))? 10*r**2 - 3 Let w(l) = -4933*l. Let g(h) = -6*h**2. Calculate g(w(z)). -146006934*z**2 Let k(s) = 2*s**2. Let o(h) = -30*h - 1. Let p(g) = -1. Let i(q) = -o(q) + 5*p(q). Let a(r) = -10*r + 1. Let c(l) = -7*a(l) - 2*i(l). Determine k(c(v)). 200*v**2 + 40*v + 2 Let u(q) = q**2 + 32. Let r(l) = 2*l**2 - 2*l + 3095. Give r(u(z)). 2*z**4 + 126*z**2 + 5079 Let v(s) = -576*s. Let z(p) = 4050*p. Give z(v(u)). -2332800*u Let a(y) = -y**2. Let s be 2*1 + (10 - 8). Suppose -6*k + s*k = 0. Let i(c) = 10*c - 7 + k + 7. What is i(a(q))? -10*q**2 Let l(t) = -8*t**2. Let h(p) = -7*p - 8*p + 20*p. Calculate h(l(q)). -40*q**2 Let q(g) = 13*g**2 + 23*g + 2. Let b(v) = -7*v**2. Calculate q(b(y)). 637*y**4 - 161*y**2 + 2 Let z(t) = -48*t - 3. Let m(n) = -289*n**2. What is z(m(l))? 13872*l**2 - 3 Let h(b) = 49*b**2 + 7*b. Let u(i) = 3*i + 24. Determine h(u(g)). 441*g**2 + 7077*g + 28392 Let q(s) = -s**2. Let m(r) = 20217 - 20217 + 172*r. Give q(m(l)). -29584*l**2 Let f(u) = 4*u. Let i(s) = -99266*s + 4. What is i(f(p))? -397064*p + 4 Suppose c - 5 = 5*t - 19, -3*c - 2 = 5*t. Let y(b) = -22*b**t + 12*b**2 + 8*b**2. Let u(r) = -6*r**2. Determine y(u(x)). -72*x**4 Let x(m) = -m**2 - 37*m. Let u be x(0). Let c(q) be the second derivative of -1/3*q**4 + 0*q**3 + 0 + u*q**2 + 3*q. Let y(s) = -s. Determine c(y(l)). -4*l**2 Let a(x) = -37*x**2 + 9*x + 3. Let u(c) = 186*c**2 - 48*c - 16. Let l(d) = 16*a(d) + 3*u(d). Let n(h) = 2*h. Determine n(l(f)). -68*f**2 Let r(w) be the second derivative of 17*w + 0 + 1/6*w**3 + 0*w**2. Let z(b) = -1 + 1 + 2*b. Calculate z(r(a)). 2*a Let r(u) = -u**2. Let q(y) be the second derivative of -13*y**5/120 - 5*y**3/6 + 17*y. Let v(k) be the second derivative of q(k). Determine r(v(c)). -169*c**2 Let t(o) = 28*o. Let v(a) be the third derivative of -a**6/180 + 17*a**4/24 - 3*a**2 + 5*a. Let b(c) be the second derivative of v(c). Give b(t(y)). -112*y Let z(m) = 13183*m. Let c(i) = 8*i**2. Determine c(z(s)). 1390331912*s**2 Let n be (-9)/27*(-2 + 8)*-1. Let m(i) = -1061 + 1061 + i**n. Let v(w) = w**2 - 3*w. Let z(c) = 4*c**2 - 11*c. Let a(f) = 22*v(f) - 6*z(f). Give a(m(r)). -2*r**4 Let j(k) = -4*k**2 - 2*k**2 - 19*k**2. Let m(q) = 65*q - 2*q**2 - 33*q - 32*q. Determine j(m(u)). -100*u**4 Let h(f) = 34*f**2 + f. Let t(y) be the third derivative of -y**5/12 + 2*y**2 + 6. Give t(h(b)). -5780*b**4 - 340*b**3 - 5*b**2 Let w(o) = o**2 - 4*o**2 + o**2. Let m(z) = z**2. Let n(s) = -188*s**2 + 375*s**2 - 196*s**2. Let v(r) = 2*m(r) - n(r). Calculate w(v(x)). -242*x**4 Let n(q) = -q**2 - 10*q + 15. Let z(c) = -c**2 - 4*c + 6. Let s(t) = 2*n(t) - 5*z(t). Let b(d) = 6 - 7 - 6*d + 1. Determine s(b(h)). 108*h**2 Let c(s) be the second derivative of -4*s**3/3 + 9*s. Let o(z) = -17*z. Let u(h) = -9*c(h) + 4*o(h). Let n(r) = 3*r. Give u(n(a)). 12*a Let l(z) = -2*z**2 + 16*z + 8. Let u(r) = -2*r - 1. Let y(p) = l(p) + 8*u(p). Let j(n) = -117*n. Determine y(j(q)). -27378*q**2 Let j(p) = -p. Let r(q) = 2*q**2 + 311*q + 351. Determine j(r(b)). -2*b**2 - 311*b - 351 Let j(x) = 3238*x. Let k(c) = -13*c**2 - 3*c. Give k(j(b)). -136300372*b**2 - 9714*b Let w(s) = 5*s. Let p(i) = i + 16. Calculate p(w(k)). 5*k + 16 Let f(g) = -157340*g. Let t(n) = -n. Calculate t(f(c)). 157340*c Let n(j) = 7*j. Let i(k) be the first derivative of -k**5/30 - 21*k**2/2 + 2. Let w(y) be the second derivative of i(y). Calculate n(w(s)). -14*s**2 Let k(b) = -4*b - 2. Let s(p) = -5*p**2 - 267*p + 5. Calculate s(k(x)). -80*x**2 + 988*x + 519 Let v = -140 - -149. Let p(u) = 16 - v*u + 11*u - 16. Let b(j) be the second derivative of j**4/3 + 2*j. Give p(b(f)). 8*f**2 Let d(t) = -2*t**2 + 4*t. Let v(m) = -m**2 + m. Let x(o) = d(o) - 4*v(o). Let y be -2 + 1 + 2 - -2. Let p(b) = -y*b + 2*b + 0*b - 2*b. Give p(x(a)). -6*a**2 Let o be (2/((-4)/19))/((-2)/64). Let x(k) = o - 304 - 5*k. Let v(i) = -4*i**2. Give x(v(n)). 20*n**2 Let a(n) = n**2. Let s(t) = -4*t + 26. Let v be s(6). Let b(i) be the third derivative of -1/20*i**5 + 0*i**3 + 0*i**4 + 0 + 0*i - v*i**2. Calculate b(a(p)). -3*p**4 Let u be ((-18)/8)/((-13)/156). Let o = -24 + u. Let y(j) = 2*j + 0*j + o*j**2 - 2*j. Let n(t) = 13*t**2. Calculate y(n(z)). 507*z**4 Let b(p) = 114*p**2 - 214*p**2 + 105*p**2. Let i(a) = 12*a. Give i(b(k)). 60*k**2 Let q(c) = -2 + 0 + 4 - 1 + c. Suppose 1 + 5 = 3*a. Let j(k) = -3*k**2 - 2*k - 2. Let r(n) = a*q(n) + j(n). Let h(s) = -4*s**2. What is h(r(b))? -36*b**4 Suppose -6*q - 24 = -7*q. Let x(m) = -26*m**2 + 7*m**2 - q*m**2. Let u(k) = -k**2. Determine u(x(l)). -1849*l**4 Let d(c) = 31*c**2. Let z(w) be the first derivative of -2*w**3/3 - 145. Calculate z(d(b)). -1922*b**4 Let m(o) = 11*o. Let a(k) = 6*k + 19. Determine a(m(q)). 66*q + 19 Let c(y) = -18988*y. Let g(o) = 4*o**2. Give c(g(u)). -75952*u**2 Let n(g) = -14*g**2 + 32. Let d(l) = 9*l**2 - 20. Let m(r) = 8*d(r) + 5*n(r). Let y(j) = -15*j - 1. Give y(m(b)). -30*b**2 - 1 Let b(s) = -s**2 + 5*s. Let o be b(5). Let j(i) = o + 0 - 3*i. Let g(v) = 3*v - 13706 + 13706. Determine g(j(a)). -9*a Let b(l) = 42*l. Let s(c) = -10*c + 15. Let y(v) = -5*v + 9. Let k(i) = 3*s(i) - 5*y(i). Calculate k(b(o)). -210*o Let u(d) = 6*d. Let o = -34 - -36. Let n(w) = -17*w**2 + 36*w**o - 20*w**2. What is n(u(h))? -36*h**2 Let q(h) be the third derivative of -2*h**2 + 0*h**3 + 0 - 1/24*h**4 + 0*h. Let k(r) = -5*r**2 - 9*r**2 + 9*r**2 - 5*r**2. What is q(k(f))? 10*f**2 Let q(i) = 3*i**2. Let n(y) be the first derivative of y**2/2 - 85*y - 116. Give n(q(z)). 3*z**2 - 85 Let y(d) = 16*d**2 + d. Let n(l) = -7905*l. What is y(n(x))? 999824400*x**2 - 7905*x Let p(h) be the second derivative of -h**3/2 + 2*h. Let x(d) = d**2 + 1. Let b(k) = k**2 - 2. Let i(l) = -5*b(l) - 10*x(l). Calculate i(p(f)). -135*f**2 Let b be -3*2/(-9)*-3. Let r(j) = 2 - 2*j + 3*j + 0*j. Let q(l) = 2*l + 5. Let x(h) = b*q(h) + 5*r(h). Let a(v) = 9*v. Calculate a(x(o)). 9*o Let m(g) = -6*g. Let a(w) = -17470*w. Calculate a(m(u)). 104820*u Let g(z) = z**2 + 8*z - 16. Let w(b) = b - 2. Let o(c) = 3*g(c) - 24*w(c). Let f(n) be the first derivative of 9*n**2/2 + 6. What is o(f(x))? 243*x**2 Let i(d) = 41*d. Let g(x) = -12*x. Let m(z) = -7*g(z) - 2*i(z). Let j(s) = -s - 98. Determine j(m(l)). -2*l - 98 Let h(a) = a**2. Let r(u) = u**3 + 11*u**2 - u - 3. Let y be r(-11). Let f(k) = y*k - 11*k + 6*k. Give h(f(d)). 9*d**2 Let q(n) = 113933*n
{ "pile_set_name": "DM Mathematics" }
term of 746, 1493, 2240? 747*m - 1 What is the p'th term of -337, -338, -339, -340? -p - 336 What is the a'th term of -747, -753, -749, -729, -687, -617, -513, -369? a**3 - a**2 - 10*a - 737 What is the z'th term of 305, 301, 297, 293, 289? -4*z + 309 What is the i'th term of 193, 137, 83, 31, -19, -67, -113? i**2 - 59*i + 251 What is the g'th term of -43, -108, -209, -340, -495? g**3 - 24*g**2 - 20 What is the v'th term of -35, -111, -227, -383, -579? -20*v**2 - 16*v + 1 What is the k'th term of -6, 1, 8? 7*k - 13 What is the g'th term of 732, 782, 832, 882, 932, 982? 50*g + 682 What is the w'th term of 153, 147, 141, 135, 129? -6*w + 159 What is the r'th term of 177, 202, 275, 420, 661, 1022, 1527, 2200? 4*r**3 - 3*r + 176 What is the g'th term of -18968, -18969, -18970? -g - 18967 What is the b'th term of 3369, 3374, 3379? 5*b + 3364 What is the p'th term of 12, 16, 20? 4*p + 8 What is the m'th term of 91, 164, 235, 304, 371, 436? -m**2 + 76*m + 16 What is the r'th term of 485, 511, 537, 563, 589? 26*r + 459 What is the g'th term of -1, -9, -17, -25, -33? -8*g + 7 What is the z'th term of 109, 112, 109, 100? -3*z**2 + 12*z + 100 What is the o'th term of 29, 31, 33, 35, 37, 39? 2*o + 27 What is the k'th term of 1023, 2042, 3059, 4074? -k**2 + 1022*k + 2 What is the v'th term of -5380, -5378, -5376, -5374, -5372, -5370? 2*v - 5382 What is the z'th term of 323, 322, 321? -z + 324 What is the b'th term of 253, 283, 347, 457, 625, 863? 2*b**3 + 5*b**2 + b + 245 What is the w'th term of -23, -19, 9, 79, 209, 417? 3*w**3 - 6*w**2 + w - 21 What is the q'th term of 19, 5, -17, -53, -109, -191, -305? -q**3 + 2*q**2 - 13*q + 31 What is the v'th term of -3, 30, 93, 192, 333, 522? v**3 + 9*v**2 - v - 12 What is the n'th term of -70, 94, 544, 1424, 2878, 5050, 8084, 12124? 24*n**3 - n**2 - n - 92 What is the j'th term of -29, -56, -109, -206, -365? -3*j**3 + 5*j**2 - 21*j - 10 What is the u'th term of -2, -23, -64, -125, -206, -307, -428? -10*u**2 + 9*u - 1 What is the b'th term of 61, 244, 547, 970, 1513, 2176? 60*b**2 + 3*b - 2 What is the f'th term of -118, -248, -380, -514, -650? -f**2 - 127*f + 10 What is the s'th term of -4767, -4765, -4763, -4761, -4759, -4757? 2*s - 4769 What is the t'th term of -1840, -1841, -1842, -1843, -1844, -1845? -t - 1839 What is the w'th term of 25, 78, 157, 256, 369, 490? -w**3 + 19*w**2 + 3*w + 4 What is the z'th term of -81, -121, -159, -195? z**2 - 43*z - 39 What is the h'th term of -216, -191, -166, -141? 25*h - 241 What is the r'th term of -10, 5, 32, 71, 122, 185, 260? 6*r**2 - 3*r - 13 What is the u'th term of -1007, -2012, -3027, -4058, -5111? -u**3 + u**2 - 1001*u - 6 What is the q'th term of -11437, -11440, -11443, -11446, -11449, -11452? -3*q - 11434 What is the u'th term of 52, 67, 78, 85, 88? -2*u**2 + 21*u + 33 What is the l'th term of -87, -171, -255, -339, -423? -84*l - 3 What is the y'th term of 111, 213, 315? 102*y + 9 What is the r'th term of -4910, -9822, -14734? -4912*r + 2 What is the o'th term of 930, 929, 928? -o + 931 What is the r'th term of 124, 107, 90? -17*r + 141 What is the l'th term of 5203, 5212, 5233, 5272, 5335, 5428? l**3 + 2*l + 5200 What is the m'th term of -18, -113, -272, -495? -32*m**2 + m + 13 What is the o'th term of -58, -234, -528, -940, -1470, -2118? -59*o**2 + o What is the q'th term of 8, 25, 52, 95, 160, 253? q**3 - q**2 + 13*q - 5 What is the n'th term of 299, 308, 329, 368, 431, 524? n**3 + 2*n + 296 What is the l'th term of 8, 3, -6, -19, -36? -2*l**2 + l + 9 What is the n'th term of -23664, -23663, -23662, -23661, -23660? n - 23665 What is the y'th term of 126, 282, 500, 810, 1242? 5*y**3 + y**2 + 118*y + 2 What is the c'th term of -5, 4, 13, 22, 31? 9*c - 14 What is the m'th term of -346, -347, -348, -349, -350? -m - 345 What is the n'th term of -6, -25, -60, -111, -178? -8*n**2 + 5*n - 3 What is the k'th term of -38, -50, -60, -68, -74? k**2 - 15*k - 24 What is the v'th term of -10, -32, -80, -166, -302, -500, -772? -2*v**3 - v**2 - 5*v - 2 What is the x'th term of 25, 75, 173, 331, 561, 875? 2*x**3 + 12*x**2 + 11 What is the i'th term of -32, -139, -318, -569, -892? -36*i**2 + i + 3 What is the x'th term of 94, 198, 314, 448, 606, 794, 1018? x**3 + 97*x - 4 What is the r'th term of -26, -137, -330, -611, -986, -1461, -2042, -2735? -r**3 - 35*r**2 + r + 9 What is the l'th term of -10059, -10062, -10065? -3*l - 10056 What is the d'th term of 355, 350, 347, 346? d**2 - 8*d + 362 What is the d'th term of -28791, -28789, -28787, -28785, -28783, -28781? 2*d - 28793 What is the i'th term of 65, 79, 109, 161, 241? i**3 + 2*i**2 + i + 61 What is the f'th term of -807, -1606, -2407, -3210? -f**2 - 796*f - 10 What is the y'th term of 0, -9, -24, -45, -72? -3*y**2 + 3 What is the s'th term of 24, 116, 266, 474, 740? 29*s**2 + 5*s - 10 What is the c'th term of 176, 203, 252, 329, 440, 591? c**3 + 5*c**2 + 5*c + 165 What is the n'th term of -20, -41, -64, -89, -116? -n**2 - 18*n - 1 What is the a'th term of -333, -457, -581? -124*a - 209 What is the w'th term of -2310, -2325, -2350, -2385, -2430, -2485? -5*w**2 - 2305 What is the s'th term of 2432, 2426, 2420, 2414? -6*s + 2438 What is the b'th term of 221, 447, 677, 911? 2*b**2 + 220*b - 1 What is the a'th term of 1647, 1646, 1645, 1644, 1643, 1642? -a + 1648 What is the l'th term of -280, -278, -276, -274? 2*l - 282 What is the p'th term of 1, 6, 11? 5*p - 4 What is the k'th term of -539, -520, -501, -482? 19*k - 558 What is the l'th term of -34, -46, -76, -130, -214? -l**3 - 3*l**2 + 4*l - 34 What is the n'th term of -110, -118, -132, -152, -178? -3*n**2 + n - 108 What is the n'th term of 2321, 2319, 2317, 2315, 2313? -2*n + 2323 What is the j'th term of 1344, 1342, 1340? -2*j + 1346 What is the m'th term of 57, 438, 1477, 3504, 6849, 11842, 18813? 55*m**3 - m**2 - m + 4 What is the p'th term of 13996, 13997, 13998, 13999? p + 13995 What is the n'th term of 15, 3, -21, -63, -129, -225? -n**3 - 5*n + 21 What is the o'th term of -244, -965, -2160, -3823, -5948? o**3 - 243*o**2 + o - 3 What is the o'th term of 215, 429, 639, 845, 1047, 1245, 1439? -2*o**2 + 220*o - 3 What is the l'th term of -5158, -10321, -15486, -20653, -25822? -l**2 - 5160*l + 3 What is the p'th term of 2, -11, -48, -121, -242, -423, -676? -2*p**3 + p + 3 What is the r'th term of 114, 138, 176, 234, 318? r**3 + r**2 + 14*r + 98 What is the m'th term of 824, 1635, 2446? 811*m + 13 What is the v'th term of 511, 2021, 4535, 8053, 12575, 18101? 502*v**2 + 4*v + 5 What is the y'th term of 89, 145, 211, 293, 397, 529, 695? y**3 - y**2 + 52*y + 37 What is the o'th term of -18, -9, 14, 57, 126, 227, 366, 549? o**3 + o**2 - o - 19 What is the g'th term of 313, 501, 689? 188*g + 125 What is the j'th term of -53, -216, -485, -860? -53*j**2 - 4*j + 4 What is the i'th term of 22, 95, 212, 367, 554, 767, 1000, 1247? -i**3 + 28*i**2 - 4*i - 1 What is the n'th term of 437, 440, 443, 446? 3*n + 434 What is the l'th term of 19, 14, 7, -2, -13, -26? -l**2 - 2*l + 22 What is the c'th term of -49, -41, -55, -97, -173, -289, -451? -c**3 - 5*c**2 + 30*c - 73 What is the t'th term of -410, -412, -414, -416? -2*t - 408 What is the h'th term of 15083, 15082, 15081, 15080? -h + 15084 What is the x'th term of 9, 8, -5, -36, -91, -176, -297, -460? -x**3 + 6*x + 4 What is the x'th term of -811, -1588, -2375, -3178, -4003, -4856, -5743? -x**3 + x**2 - 773*x - 38 What is the p'th term of 2340, 4679, 7018, 9357, 11696? 2339*p + 1 What is the k'th term of -2386, -2388, -2390, -2392? -2*k - 2384 What is the p'th term of 287, 575, 859, 1139, 1415, 1687? -2*p**2 + 294*p - 5 What is the b'th term of 36, 30, 24? -6*b + 42 What is the t'th term of 0, 5, 12, 21, 32, 45, 60? t**2 + 2*t - 3 What is the o'th term of 1485, 1476, 1453, 1410, 1341, 1240? -o**3 - o**2 + o + 1486 What is the s'th term of -794, -1588, -2382, -3176, -3970, -4764? -794*s What is the f'th term of 22, 49, 78, 109? f**2 + 24*f - 3 What is the i'th term of 5, 1, -13, -43, -95, -175? -i**3 + i**2 + 5 What is the z'th term of 8, 7, 4, -1, -8, -17, -28? -z**2 + 2*z + 7 What is the i'th term of 39, 63, 109, 183, 291, 439, 633, 879? i**3 + 5*i**2 + 2*i + 31 What is the p'th term of 272, 1086, 2442, 4340, 6780? 271*p**2 + p What i
{ "pile_set_name": "DM Mathematics" }
Give n(2). -3 Let a(t) = -6*t**2 - 6*t - t**3 + 1 + 4 + 2*t**3. Let o be ((-4)/(-2))/(19/1349). Let y = o - 135. Calculate a(y). 12 Let v(l) = -7*l - 154. Let k(n) = -n - 33. Let i(g) = -14*k(g) + 3*v(g). Let m = -2 + 4. Let b = m - 1. Calculate i(b). -7 Let y(k) = -7*k**2 + 27*k + 17. Let i(o) = -3*o**2 + 13*o + 8. Let x(w) = -9*i(w) + 4*y(w). Suppose -2*d = -6, -4*d + 4 = -21*b + 23*b. Determine x(b). 16 Let p(t) = -t**3 + t**2 + 3. Let u be p(0). Let q(j) be the third derivative of j**6/120 - j**5/15 + j**4/8 + 202*j**2 + 3*j. What is q(u)? 0 Suppose u = 3*u + 14. Let p(l) = -6*l**3 - 3*l**2 - 8*l + 3. Let g(j) = -j**3 + j**2 + 1. Let z(x) = -5*g(x) + p(x). Calculate z(u). 5 Let h(z) = -7*z + 6. Let p(y) = 8*y - 7. Let a(w) = -3*h(w) - 2*p(w). Let b(s) = 1 - 4 + 2. Let r(f) = a(f) - 3*b(f). Calculate r(-1). -6 Suppose q = -4*q + 5. Suppose f = 6 - 4. Let g(t) = -5*t**2 + 4*t**3 + 5 + 3*t**f - 2*t**3 - 4. Determine g(q). 1 Let v(p) = -2*p**3 + 5*p**2 + p - 3. Let r(a) be the first derivative of 9*a**4/4 - 7*a**3 - 2*a**2 + 13*a - 12. Let u(f) = 6*r(f) + 26*v(f). Give u(-2). -4 Let v(n) = -3*n**2 - n - 1. Let l(q) = 14*q**2. Let s(o) = -l(o) - 5*v(o). Determine s(-3). -1 Let i(t) = -t - 8. Suppose 24 = -2*v - 4*p, 0 = 3*v - v + 2*p + 14. Let k(q) = -q**2 - 4*q + 8. Let g be k(-6). Let l = g + v. Give i(l). -2 Suppose 5*h = 3*g - 2*g + 40, 3*g = 3*h - 24. Suppose -11*p + h = -13*p. Let c(b) = b + 6. Give c(p). 2 Let i = -9 + 13. Let h = i + -4. Let c(z) = -z**2 - 4*z + 2. Let x(j) = -j**2 - 3*j + 2. Let s(v) = -4*c(v) + 5*x(v). Calculate s(h). 2 Let p be (2/3)/(10/105). Let u(b) = b - 4 - 5*b - 6*b + 11*b. What is u(p)? 3 Let u be (-36)/(-16) + 6/8. Suppose 0 = 5*b + 20, 40 = 5*p - 5*b - 0. Let c(l) = -p - u*l + 3 + 0. What is c(-1)? 2 Let o(i) be the second derivative of i**4/12 - i**3 + 4*i**2 - 122*i. What is o(4)? 0 Let s = -563 + 561. Let t(k) = 8*k**2 + k. Give t(s). 30 Let t(c) be the second derivative of c**2 + 0 - 1/6*c**3 - 2*c. Let i be (-2)/(5 - 102/18). What is t(i)? -1 Let r be (12 - 1)/((-252)/(-35) - 7). Suppose -3*h - r = 8*h. Let m(a) = a. Give m(h). -5 Suppose o - 1 + 2 = 0. Suppose -3*u - 4 = -22. Let s(c) = -1 - c**3 + u*c**3 - 5*c + 5*c. Calculate s(o). -6 Suppose 5*t = 2*a - 7*a + 25, -3*a + 17 = t. Let v(z) = -z**2 + 2*z - 4. Determine v(a). -28 Let w = 11 - 6. Let b(p) = w*p - 1 + 66*p**2 - 65*p**2 - 7. Calculate b(-6). -2 Let s(r) be the third derivative of -r**4/24 + r**3 - 388*r**2. Determine s(3). 3 Let s(v) = -3*v + 10. Suppose -6*q + 4 = -5*q. Determine s(q). -2 Let s(g) = -3*g + 1. Let i(l) = l**3 - 7*l**2 - 2*l - 15. Let u(z) = -z**3 + 7*z**2 + 3*z + 14. Let m(b) = 4*i(b) + 5*u(b). Let d be m(8). What is s(d)? -5 Suppose 3*b = -2*c - 3*c + 20, -5*c + 15 = 2*b. Let p(n) = -c + 8 + 2*n - 1. Let u = 4 + -9. What is p(u)? -4 Let v(t) = -3*t**2 + 3 - 7*t**3 + t**3 - 2 - 7*t**3 + 0*t**2 + t. Give v(1). -14 Let x(q) be the second derivative of q**6/180 - q**5/40 + q**4/24 + 5*q**3/3 + 16*q. Let v(d) be the second derivative of x(d). Determine v(2). 3 Let x(q) = -q**3 + 3*q**2 - q - 3. Suppose -55*y + 56*y - 2 = 0. What is x(y)? -1 Let x(d) be the second derivative of d**5/24 - d**4/4 - 3*d**3/2 - 17*d. Let r(g) be the second derivative of x(g). What is r(6)? 24 Let l(t) = t**2 + 1. Let y(p) = -6*p**2 + 8*p - 15. Let m(r) = -5*l(r) - y(r). Let v be (-952)/(-102)*(-6)/(-8). Calculate m(v). 3 Let o(n) = n**3 + 4*n**2 + 2*n - 2. Let s(a) = -a**3 + 7*a**2 - 3*a - 17. Let j be s(4). Suppose -l = -16 + j. Determine o(l). 1 Let x(f) = f**2 + 3*f + 4. Let y(t) = -2*t**2 + 5. Suppose -2*h = d + 6, 4*d - 5*h = -d. Let j be y(d). Determine x(j). 4 Let s(i) = -i**3 - 26*i**2 + 2*i + 64. Let x(y) = 5*y**2 - 12. Let h(c) = -2*s(c) - 11*x(c). Determine h(3). 19 Let j(h) be the third derivative of 0 - 14*h**2 - 1/60*h**5 + 1/6*h**3 + 0*h**4 + 0*h. Determine j(0). 1 Let g(l) = 5 - 6 + l**2 + 1. Let h be (-15)/20 + (-234)/8. Let a = h + 29. What is g(a)? 1 Let a(o) = -2*o**3 - 2*o**2 + 2*o. Let y be a(-2). Let q be (-2)/((y/20)/1). Let n = q - -10. Let f(v) = v**2 + v - 6. Calculate f(n). -6 Let b(o) = -12*o**2 + 23*o - 6. Let y(d) = 17*d**2 - 34*d + 11. Let k(s) = -7*b(s) - 5*y(s). What is k(6)? 5 Let m(o) be the second derivative of o**5/20 + 5*o**4/12 + 5*o**3/6 - o**2 - o. Let s(v) = -6*v + 8. Let f be (2 + 4)*3/9. Let k be s(f). Calculate m(k). -6 Let z be 5*1/(-2 - -3). Suppose 23 = z*n + 8. Let s(w) = -1 - 1 + 4 - 6 - n*w. Give s(-3). 5 Let p(j) = 3*j - 4*j - 6 + 5*j - j. What is p(8)? 18 Let p(s) = -s + 9*s - 10*s - 5. Let g(q) = -q - 2. Let c(w) = 5*g(w) - 3*p(w). Give c(-5). 0 Let b(c) = c**3 + 14*c**2 - 16*c - 20. Let v be b(-15). Let s(a) = a - 3. Give s(v). -8 Let u be -1 + 2/(-16) + (-147)/(-24). Let s(m) = 2*m**3 - 19*m**2 - 21*m - 12. Let q(n) = n**3 - 10*n**2 - 11*n - 6. Let d(b) = 11*q(b) - 6*s(b). Give d(u). 6 Let q be 4*(34/(-8) - -2). Let n = q - -13. Let b(x) be the first derivative of x**4/4 - 4*x**3/3 - x**2/2 + 4960. Give b(n). -4 Suppose 0 = -2*a - 0*a + r - 7, -a + 2*r = 5. Let x(d) = 88*d + 10 - 21 - 87*d + 8. What is x(a)? -6 Let b(r) = 9*r + 8*r - r**2 + 3 - 6*r - 27. Let n be b(7). Let k(i) be the first derivative of -i**2/2 + 8*i + 2. Give k(n). 4 Let u(v) = 2*v + 78. Let b(y) = y + 56. Let i(n) = -7*b(n) + 5*u(n). Suppose -3*r + 2*l - 8 - 9 = 0, -3*l = -12. Give i(r). -11 Let g(i) = -i - 5 + 6*i**2 - 5*i**2 + 2*i - 9. Suppose 2*l + 4*u = -12 + 36, 0 = -5*l - u + 87. Suppose -l*n = -17*n. Determine g(n). -14 Let v(j) = -j**3 - 4*j**2 + 6*j + 6. Let s be v(-5). Let x(r) = 3 + r**3 - 2*r**3 + s + 1. Give x(0). 5 Let k(u) = -17*u**2 - 4*u - 7. Let m(p) = 28*p**2 + 9*p + 13. Let x(w) = 5*k(w) + 3*m(w). Determine x(7). 4 Let r(f) = -f**2 + f - 4. Let y be r(0). Let t = 5 + -2. Let v(i) = -3 - 1 - i - 3 + t + 4*i**2 + i**3. Give v(y). 0 Let g be (-37)/(-2) + 1/2. Let o = g + -22. Let m(k) = -k. Determine m(o). 3 Let y = 284 + -84. Let b be (1/2)/(5/y). Let j(x) = -1 - b*x + 17*x - x**2 - 4. Determine j(-5). -15 Suppose -15 = -2*v - d, -3*d + 7*d - 42 = -5*v. Let u(p) = 2*p. What is u(v)? 12 Let v(s) = -s - 2. Let f be v(2). Let h(y) = -7*y. Let c(d) = d. Let r(j) = f*c(j) - h(j). What is r(-3)? -9 Let y be -3 + (-39)/(-4)*24/6. Suppose 11*j + y = 2*j. Let v(h) = 7*h**2 - h + 17. Let x(g) = -4*g**2 + g - 9. Let b(r) = 3*v(r) + 5*x(r). Determine b(j). 14 Let q(z) = 1030*z + 4 + z**2 - 1025*z - 5 - 4. Let a(u) = -u**2 + 10*u - 4. Let l be a(4). Suppose 3*i + l = -i. Give q(i). -5 Let l(q) = 5*q**2 - q. Let z(m) = -26*m**2 + 10*m - 3. Let h(p) = 5*l(p) + z(p). Calculate h(4). 1 Let q(x) = 12*x**2 + 13 - 19*x**3 - 14*x - 11*x**3 - 16*x**3 + 45*x**3. Determine q(11). -20 Let r(v) = -v**2 - 4. Suppose 9*w = 14 + 22. What is r(w)? -20 Let h(k) = 0*k**3 + 2*k**2 + 13*k**3 - k - k**2. Let u = 70 + -72. Let n be -1*((-1)/(-2))/(1/u). What is h(n)? 13 Let r be (-19)/(-5) + 2/10. Let s(m) = -5*m**2 - 4*m - 6. Let f(h) = h**2 + 1. Let q(y) = r*f(y) + s(y). Calculate q(-4). -2 Let b(w) = -105*w + 50*w - 13 - w**2 + 3 + w**3 + 56*w. Let z(j) = j**3 - 4*j**2 + 4*j - 3. Let p be z(3). What is b(p)? -10 Let r(i) = 10 - 3 + 7*i - i - 3*i - 5*i. Let a be ((-2)/6)/((-1)/21). Determine r(a). -7 Let m(a) = -3*a**2 - 10*a + 7. Let t(c) = -8*c + 1 + 19*c - 12*c - c**2. Let g(j) = -m(j) + 4*t(j). Determine g(5). 2 Let t(c) = c**2 - 2*c - 6. Let u be 105/(-30)*4/(-7). Suppose 2*j + u*j = 20. Determine t(j). 9 Let u(q) = q + 2. Let g = 49 + -47. Suppose -3*s - g*s + 20 = 0. What is u(s)? 6 Let v = 5 + -6. Let x(l) = 32*l**2 + 23*l + 37. Let u(i) = 11*i**2 + 8*i + 13. Let c(g) = 17*u(g) - 6*x(g). Determine c(v). -4 Suppose -291*k + 28 = -303*k - 8. Let z(c) be the third derivative of -c**5/20 - c**4/12 + c**2. What is z(k)? -21 Suppose -9*o + 15*o = 54. Let u(r) = r**3 - 7*r**2 - 17*r - 9. Let m be u(o). Let y(x) = -x**2 + x - 8. Calculate y(m). -8 Let d(z) = z**3 + 6*z**2 - 8*z + 1. Let q be d(-7). Let b = 12 - q. Let v = b + -2. Let o(x) = 2*x**3 - 2*x**2 - x - 1. Give o(v). 5 Let n = 41 - 41. Let h be (-4)/(-28)*n - 0/(-1). Let o(l) = -l**2 + l - 10. Let g(j) = -2*j**2 + 2*j - 11. Let s(d) = 2*g(d) - 3*o(d). Determine s(h). 8 Let w be (75/(-30))/((0 - -1)/(-2)). Let k(c) be the first derivative of -w*c + 3 + 1/2*c**2. Calculate k(0
{ "pile_set_name": "DM Mathematics" }
t = -i - 13, 2 = -t. Suppose 3*s + 0*x + 11055 = i*x, -5*s + 3*x = 18435. Round s to the nearest one thousand. -4000 Let o = -0.57 + -33.43. Let a = -34.0000027 - o. What is a rounded to 6 dps? -0.000003 Let j(c) = -3639*c - 227. Let n be j(7). What is n rounded to the nearest 10000? -30000 Let x = 52 + -51.53. Let a = -327.31 + 327. Let v = x + a. Round v to one dp. 0.2 Let w be 4/(-10) + (-53726208)/(-20). Let v = w - 1606307. Suppose 3*y = -2*m - v, -4*y + 3*y = 4*m + 2160001. Round m to the nearest 100000. -500000 Let q = -557.4 - 29.6. Let d = -589.61 - q. What is d rounded to one decimal place? -2.6 Let h = 47 - 93. Let m = 509589.79963 + -509635.8. Let v = m - h. What is v rounded to 4 dps? -0.0004 Let g = 164284137 - 164284125.99999984. Let c = -12.4 + 1.4. Let x = c + g. Round x to 7 decimal places. 0.0000002 Let f = -14.065 - 11.157. Let j = f - -25. Round j to 2 decimal places. -0.22 Let l(t) be the first derivative of 1123*t**4 + t**3 - 6*t**2 + 1. Suppose u - 18 + 10 = 0. Let b be l(u). Round b to the nearest one million. 2000000 Let w = -650 + 649.9999999. Round w to five dps. 0 Let d(f) = -33389*f - 10. Let x be d(-5). Suppose 5*i + s = -2*s - 524678, 4*i + 2*s = -419742. Let o = x + i. Round o to the nearest 10000. 60000 Let v(p) = 311*p**3 + 8*p**2 - 8*p - 9. Let q be v(7). Round q to the nearest 10000. 110000 Suppose -3*x + 9 = -9. Suppose 0 = m - x*m. Let y be 6*-55*(m + 1). What is y rounded to the nearest one hundred? -300 Let a = 144390 - 18886. Suppose -2*i - 9765504 = -a. What is i rounded to the nearest one million? -5000000 Let a = 0.029 + 19.471. Let w = 33 - a. Let d = w - 13.49999893. What is d rounded to 7 dps? 0.0000011 Suppose 14 = y + 9. Suppose y*o + 4*l = -0*l - 40499980, -5*l + 40500025 = -5*o. Round o to the nearest one million. -8000000 Let w = -438 - -138. Let s be (w/(-9) - 0)*480. What is s rounded to the nearest ten thousand? 20000 Suppose -2*u + 12 = u. Let l be 2*(5 - u) + 2298. What is l rounded to the nearest 100? 2300 Let o = 13 + -198. Let r = o + 184.21. What is r rounded to one decimal place? -0.8 Let h = -319.1 - -286. What is h rounded to the nearest ten? -30 Let f = 238.2 - 267. Round f to the nearest integer. -29 Let v = -27 - -26.718. Round v to one decimal place. -0.3 Let i = 616164.813 - 615890. Let k = i - -0.187. Let c = k - 275.0111. Round c to 3 dps. -0.011 Let j = 218.9994424 - 219. What is j rounded to four dps? -0.0006 Let j be 3 + (-2 - -4 - -238074). Suppose -42579 + j = -5*m. Round m to the nearest 1000. -39000 Let c = -0.022 + 0.056. Let i = c - 0.066. What is i rounded to 2 decimal places? -0.03 Let j be (104616 + 4)*((-138)/(-4) + -1). Suppose 4*i = j + 1295230. What is i rounded to the nearest one hundred thousand? 1200000 Let h = -39 - -13. Let l be 2 + 4/(8/h). Let j(v) = 12*v + 2. Let g be j(l). Round g to the nearest 10. -130 Suppose -4*p + p = 3, 0 = -4*l - 3*p - 56107. Let d = l - 9072. Let x be 2/3 - d/3. Round x to the nearest 1000. 8000 Let k = 12 - 20. Let n be (1 - k/(-5))*-10. Suppose -n*x = -x. What is x rounded to the nearest one million? 0 Let b be ((-2)/(-2) - -9)*-29. Let u(y) = -6*y - 100. Let z be u(-25). Let j = z + b. Round j to the nearest one hundred. -200 Suppose -7*r + 2*r + 10 = 0, 5*a - 21 = 2*r. Suppose -3*f + 3*p + 2536 = -p, a*f - 4192 = -2*p. Round f to the nearest 100. 800 Let t = 7.34 - 60.76. Let c = t + 53. Let a = -0.27 - c. Round a to 2 decimal places. 0.15 Let y = -1268.31 - 0.89. Let z = y + 1402. Let j = z + -123. Round j to the nearest integer. 10 Let b be 48/(-9)*-1*(-32 + -1). Let u be (b/(-33))/(9075002/(-4537500) + 2). What is u rounded to the nearest one million? -12000000 Let d = 2303039.69678 - 2303003. Let p = 40.796 - d. Let z = p - 4.1. What is z rounded to four dps? -0.0008 Let i be 6 - -3*(-2)/2. Suppose 3*u + y = -2*u - 459, -2*y + 278 = -i*u. What is u rounded to the nearest 10? -90 Let b = 14 - 12. Suppose -447 = 5*c - 4*z, 0 = 5*c - 7*z + b*z + 445. What is c rounded to the nearest ten? -90 Let c = 0.1334 + 119.4666. Round c to the nearest ten. 120 Let w = -4841.864 - -4862. Let a = w + -20. Round a to 2 dps. 0.14 Let m = -212.03556897 + 0.01266897. Let v = m - -0.0229. Let g = 211.818 + v. What is g rounded to 2 decimal places? -0.18 Let w be (1 - 40)*(-101 - -4). Let m = w + 1117. What is m rounded to the nearest 1000? 5000 Let u = 81 - -96. Let s = -176.999846 + u. Round s to five decimal places. 0.00015 Let l = -678 + 898.4. What is l rounded to the nearest 10? 220 Let t = -0.3096994663 + 0.3097. What is t rounded to seven dps? 0.0000005 Let k be (-23700)/9*(-1 - 826/(-4)). Let b = k + 360150. What is b rounded to the nearest ten thousand? -180000 Suppose 0 = 17*d - 420 - 277. Round d to the nearest integer. 41 Let k be 1560395 + 9/((-27)/(-6)). Let x = -2300397 + k. Round x to the nearest one hundred thousand. -700000 Let t be (-4)/(-14) - ((-128)/(-56) - 4). Suppose -t*u = 2*l + l + 288, -4*u + 364 = -4*l. What is l rounded to the nearest ten? -90 Suppose -1 + 4 = l. Suppose -2*a - 21 = -l*a. Let y = a + -37. What is y rounded to 0 decimal places? -16 Let d = 179.1 - 179.08749. What is d rounded to 3 decimal places? 0.013 Let v = -7.418 - 0.342. Round v to one dp. -7.8 Let u = 33 - 33.38. Let b = u + 0.18. Let y = b - -0.1654. Round y to three decimal places. -0.035 Let h be (-59 - 91443) + (2 - 0). What is h rounded to the nearest 10000? -90000 Let p = 10294 - 5124. What is p rounded to the nearest 1000? 5000 Let j = -6.3236 - 0.0064. What is j rounded to the nearest integer? -6 Let b = -2083 + 1168. What is b rounded to the nearest 100? -900 Let x(t) be the second derivative of -3233333*t**3/6 - t**2/2 + t. Suppose 13*m - 24 = 15. Let y be x(m). Round y to the nearest one million. -10000000 Let o = 73 - 72.9876. Round o to 3 decimal places. 0.012 Suppose -21 + 3 = -3*x. Suppose 5*v = 21 - x, 3*w - 3*v - 945 = 0. Suppose -u + 0*u = -w. What is u rounded to the nearest 10? 320 Let j = -44.5 + 43.727. Round j to one decimal place. -0.8 Let c = 3.72 - 3.34. What is c rounded to 2 dps? 0.38 Let j be ((-6)/(-10))/((-19)/(-3515))*-900. Round j to the nearest one thousand. -100000 Let b = -54 - -56. Let s be 364000002/(-14) + b/14. Round s to the nearest 1000000. -26000000 Let a = -23626926 + 23627060.00071. Let n = -134 + a. What is n rounded to four dps? 0.0007 Suppose -k = 9 + 16. Let b = 29 + k. Let s be 522/(b/(400/(-3))). Round s to the nearest one thousand. -17000 Suppose -3*z + 273 = -3*w, -2*z - z = -4*w - 365. Let g = w - -126. Round g to the nearest 10. 30 Let i = 3650.91 + -3634. Let u = i + -15.2. Round u to one dp. 1.7 Let n = 0.0467 + 106.8533. Round n to the nearest 10. 110 Let g be (-30)/12*42/(-5). Suppose 188 = 5*l - 3*l. Suppose -5*x + g = -l. Round x to the nearest ten. 20 Let g = -1.08000841 - -1.08. What is g rounded to 6 dps? -0.000008 Let i(r) = 141*r**3 - 6*r**2 + 25*r. Let d be i(25). Round d to the nearest one hundred thousand. 2200000 Let m = 0.09 + -4.09. Let a = m + 3.66. Let g = -0.1 - a. Round g to 1 decimal place. 0.2 Let w(d) = -d**2 - 6*d + 4. Let k be w(-7). Let o be (29400009/(-6))/(k/30). Let x be 6/(-4) + o/10. What is x rounded to the nearest one million? 5000000 Let q = -0.0349 + 0.034899923. Round q to seven dps. -0.0000001 Let q = -0.11 + -0.23. Let p = -0.35638 - -0.01368. Let d = p - q. Round d to 3 decimal places. -0.003 Suppose -69640 = 5*k - 5*d, -d + 41759 = -3*k - 3*d. Let w = 30242 + k. Let n = -7519 + w. What is n rounded to the nearest one thousand? 9000 Let b(f) = f**2 - 5*f - 8. Let s be b(7). Let n(w) = -w**2 + 9*w - 6. Let m be n(s). Suppose -7*j + m*j = 13000. What is j rounded to the nearest one thousand? 3000 Let a = -34.89 - 20.03. Round a to the nearest ten. -50 Suppose 3 = j - 4. Suppose -15*d + j*d = 1184. What is d rounded to the nearest 10? -150 Let w be 2529997 - (-1 - -1)/3 - -3. Round w to the nearest 1000000. 3000000 Let d = -563 - -292. Let l = 944 + d. Round l to the nearest 100. 700 Suppose 221000 = -b + u, b = -2*u - 205289 - 15711. Round b to the nearest one hundred thousand. -200000 Let z = -17.3 - -0.3. Let f = 17.07 + z. Let y = f + -0.0699992. What is y rounded to six dps? 0.000001 Let z = -1198 - -1198.000000039. What is z rounded to
{ "pile_set_name": "DM Mathematics" }
(d) 4 (e) 0.71 e What is the fourth smallest value in 0.3, -21, 3, 0.6? 3 Which is the second biggest value? (a) 2/27 (b) 1 (c) 4 (d) 2/21 b Which is the smallest value? (a) 0 (b) 8 (c) 5 (d) -0.01 (e) 2 d Which is the biggest value? (a) 13 (b) 0 (c) 19 c Which is the third biggest value? (a) -3/5 (b) -17/4 (c) 4 b What is the third biggest value in -2, -3/7, -3, -2/5, -1/8? -3/7 What is the biggest value in -0.06, 1, -1/7? 1 Which is the second smallest value? (a) 0.6 (b) -5 (c) 1 (d) -1/9 d What is the third smallest value in 1, 1/3, -0.4, 0.5? 0.5 Which is the smallest value? (a) 2/9 (b) 5 (c) -30 (d) -3 (e) -2/3 c What is the smallest value in -0.4, 2/11, -3.8, -1/8, -2/145? -3.8 What is the second biggest value in 0.2, 5/14, -1/6, 0? 0.2 Which is the second smallest value? (a) 3 (b) 0.2 (c) -4/3 (d) 40/17 (e) 4 b Which is the third biggest value? (a) -3 (b) 0.01 (c) -2 (d) 4/3 c Which is the second smallest value? (a) 1/4 (b) -0.06 (c) 31 a Which is the third biggest value? (a) 1/2 (b) 4 (c) 1/4 c Which is the biggest value? (a) -3/4 (b) -27 (c) -0.5 (d) -0.4 d Which is the second biggest value? (a) -1 (b) 0.37 (c) -8 a What is the second biggest value in 0.4, 2/27, -2? 2/27 What is the second biggest value in 8/7, -3, 0.8, 2/11, 5? 8/7 What is the fourth biggest value in 22/9, -2/9, -4, 5? -4 What is the third biggest value in -4, 34/19, -5, 0.1? -4 What is the third smallest value in 1, 0.014, 0.2? 1 Which is the smallest value? (a) -4 (b) -56 (c) 4 b Which is the second biggest value? (a) 0.1 (b) 5/7 (c) 0 (d) -3 a What is the second smallest value in 0.04, 13, 0.39? 0.39 What is the third smallest value in 0.2, 5, 4, -1/4? 4 What is the third smallest value in 3, 2, 3/5, -4/7? 2 What is the fourth biggest value in 1/4, -1/10, 5, -0.2? -0.2 Which is the third smallest value? (a) 0.5 (b) -0.2607 (c) -1/2 (d) 0 d Which is the smallest value? (a) 9 (b) -3 (c) 0 b What is the biggest value in 0.3, 0.5, -8410? 0.5 Which is the smallest value? (a) -12 (b) -1/9 (c) -19 c What is the smallest value in -23, 0, 2/15? -23 Which is the third smallest value? (a) 6/23 (b) -6 (c) -0.3 a Which is the fourth biggest value? (a) -0.2 (b) -18 (c) -4/5 (d) 3/7 b Which is the second smallest value? (a) -4/5 (b) -5 (c) 1.74 a What is the third biggest value in 800, 0.3, -6, 4? 0.3 Which is the smallest value? (a) 2/7 (b) 0.4 (c) 2.34 a What is the fourth biggest value in 5, 2, -3, 21? -3 Which is the smallest value? (a) 0.2 (b) -2/25 (c) 20 b What is the biggest value in 0, -0.1, -3.4? 0 Which is the third biggest value? (a) 0.06 (b) 3/5 (c) -2/7 c Which is the smallest value? (a) -0.2 (b) 1/48 (c) -1 c Which is the biggest value? (a) 0.8 (b) -37 (c) -2 a Which is the third biggest value? (a) -4 (b) -4/5 (c) -2/11 (d) -2/9 b Which is the third smallest value? (a) 998 (b) 5 (c) -1/4 a What is the second smallest value in -4, -1.2, 1/84, 5? -1.2 Which is the second biggest value? (a) 20 (b) 2 (c) 3 c Which is the biggest value? (a) -1.87 (b) -4 (c) -7 (d) 3 d What is the third biggest value in 3, 132, 2/9? 2/9 Which is the fifth smallest value? (a) 4 (b) -5 (c) -0.4 (d) -2/13 (e) 10/11 a What is the biggest value in -3, -46, -0.7? -0.7 What is the smallest value in 1, -0.5, -967, 0.4? -967 What is the third biggest value in -0.5, -0.026, -4, 0.4? -0.5 Which is the smallest value? (a) 4/11 (b) -5 (c) -1/3 b What is the fourth smallest value in 1/6, 6, 0.2, 4? 6 What is the biggest value in 0, -1, -32? 0 What is the third smallest value in 0.4, -4, -5, -20, -3? -4 What is the third smallest value in -2, -5, 1/21? 1/21 What is the fourth smallest value in 0, 36, -1/6, -5? 36 What is the fifth smallest value in 0.5, -4, -5, 39, -58? 39 Which is the third biggest value? (a) -0.4 (b) 1/2 (c) 1.65 (d) -4 a Which is the fifth biggest value? (a) -1.1 (b) 2 (c) -1 (d) -0.1 (e) 11 a What is the fourth biggest value in -5, -0.4, 0.223, 5? -5 Which is the third smallest value? (a) -2/329 (b) 2/5 (c) 1/3 (d) -8 c Which is the second biggest value? (a) -0.1 (b) -0.091 (c) 2 b What is the third smallest value in -583, 2, -1/5? 2 Which is the third smallest value? (a) -1 (b) -4/3 (c) -1/2 (d) -3 a Which is the third biggest value? (a) -1/6 (b) 51 (c) -2/11 (d) -3/7 c Which is the third biggest value? (a) 5 (b) -5 (c) -0.5 (d) 1 (e) 16 d Which is the second biggest value? (a) -0.08 (b) 3 (c) 6 (d) 0.1 b Which is the biggest value? (a) -2 (b) -57 (c) -6 a Which is the smallest value? (a) -0.4 (b) -1 (c) 1091 b What is the second smallest value in -39, -40, -4? -39 What is the smallest value in 8, 16, 0.1? 0.1 Which is the fourth smallest value? (a) 1 (b) -1 (c) -4 (d) 0.3 a Which is the third biggest value? (a) 41 (b) -4 (c) 246 (d) 3/4 d Which is the second smallest value? (a) 26 (b) 1 (c) 1/4 b What is the smallest value in -0.04, -1, 0.9, 2? -1 Which is the second smallest value? (a) 5 (b) -104 (c) 4 (d) 3 (e) -6 e What is the smallest value in 4, -5/13, -0.1? -5/13 Which is the smallest value? (a) -2/3 (b) -0.072 (c) 0.5 a What is the second smallest value in -3/19, 0.08, 1.1? 0.08 Which is the smallest value? (a) -0.5 (b) 0.1 (c) -11.2 (d) 1/4 c What is the second smallest value in -0.5, -1, -6, -0.108, 0.4? -1 Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -362 (d) 2 d What is the fourth smallest value in 146, 2, 3/2, 10? 146 Which is the third biggest value? (a) -2/7 (b) 0.069 (c) 0.5 (d) -3 (e) 1 b What is the second smallest value in 1, -1/3, 2/13, -15? -1/3 What is the fourth smallest value in -1/2, -2/13, 6, 0.3? 6 What is the third biggest value in -0.01, 3, -9? -9 What is the biggest value in -235, 0.06, 0.1? 0.1 Which is the third biggest value? (a) -2/5 (b) -355 (c) 3 (d) -5 (e) -1/2 e Which is the biggest value? (a) 50 (b) 0 (c) -2 a What is the fifth smallest value in -4, 0, 0.3, 0.08, -2/3? 0.3 What is the second smallest value in -31, 7/3, -0.9? -0.9 Which is the third smallest value? (a) 1.2 (b) 2/3 (c) -15 a Which is the fifth smallest value? (a) 0.3 (b) 0.1 (c) -1 (d) 4 (e) 1/2 d Which is the third smallest value? (a) -2/5 (b) -4 (c) 0.1 (d) -0.294 d What is the fourth biggest value in -0.1, -0.2, 0.083, 2? -0.2 Which is the third biggest value? (a) -12 (b) -1 (c) 114 (d) 2/11 b Which is the smallest value? (a) 0.38 (b) 0.5 (c) 0 c Which is the third smallest value? (a) -1 (b) -1/192 (c) 0.01 c Which is the fourth biggest value? (a) -4 (b) -3 (c) -0.5 (d) 203 (e) -3/2 b Which is the fourth smallest value? (a) -4 (b) -2/5 (c) 8 (d) -3 (e) -1/5 e Which is the biggest value? (a) 1 (b) 0.2 (c) 10/7 c Which is the biggest value? (a) -1/7 (b) 41 (c) -22 b What is the biggest value in -0.7, 11/31, -0.5? 11/31 Which is the third smallest value? (a) 1 (b) -0.4 (c) 26/7 (d) 1/2 a What is the fourth smallest value in 0.3, 1, 3, 136, -0.1? 3 What is the third smallest value in -2/15, -10, -1, -0.1, 8/5? -2/15 Which is the biggest value? (a) -2 (b) -16751 (c) 0.5 c Which is the fifth biggest value? (a) -1/3 (b) -2/5 (c) -118 (d) 0.3 (e) 5 c What is the fourth smallest value in 3, 0.1, 0.5, 0.25? 3 What is the second biggest value in -3, -2, 1/2, -1, 27? 1/2 Which is the third smallest value? (a) 0 (b) -86 (c) -2 (d) -3/2 (e) -5 c Which is the smallest value? (a) 1/3 (b) 0 (c) -0.81 (d) -4 d Which is the third smallest value? (a) 68 (b) 3 (c) -7/4 a Which is the fourth smallest value? (a) 1 (b) 2/7 (c) -1/2 (d) 27/4 d What is the third smallest value in 1, 110, -5? 110 What is the smallest value in -19, 2, 5? -19 Which is the smallest value? (a) -1/4 (b) -1 (c) 3/16 b Which is the biggest value? (a) 0.027 (b) -29 (c) -0.1 (d) 2/7 d Which is the third smallest value? (a) 15 (b) -9 (c) 4 a What is the smallest value in -44, 2, 1? -44 Which is the third smallest value? (a) 1/2 (b) 0.06 (c) 2/7 a What is the smallest value in -2, 2, -0.1, 0.2? -2 Which is the third smallest value? (a) 1 (b) -0.14 (c) 0.46 (d) 4 a Which is the smallest value? (a) -0.045 (b) 0.36 (c) 0 a Which is the third
{ "pile_set_name": "DM Mathematics" }
10 Calculate the lowest common multiple of 2196 and 16. 8784 Calculate the smallest common multiple of 8986 and 10. 44930 Calculate the common denominator of 115/98 and -17/427. 5978 What is the common denominator of -81/4 and 28/27? 108 Find the common denominator of -14/867 and -101/255. 4335 Find the common denominator of 151/60 and 74/9. 180 Find the common denominator of 8/33 and 149/6438. 70818 Find the common denominator of 73/120 and -55/144. 720 Find the common denominator of 117/2324 and 137/1494. 20916 What is the common denominator of 65/9444 and -45/14? 66108 What is the common denominator of 89/1150 and -14/11? 12650 Calculate the smallest common multiple of 1100 and 55. 1100 Calculate the common denominator of 119/594 and -145/36. 1188 What is the common denominator of 11/9 and 32/329? 2961 Calculate the lowest common multiple of 18 and 34. 306 Find the common denominator of 115/1152 and 149/12. 1152 Calculate the lowest common multiple of 88 and 352. 352 What is the smallest common multiple of 3376 and 16? 3376 Find the common denominator of -58/7 and -89/4. 28 What is the least common multiple of 54 and 102? 918 Calculate the least common multiple of 196 and 2180. 106820 What is the least common multiple of 216 and 828? 4968 Calculate the common denominator of 175/858 and 53/16. 6864 What is the smallest common multiple of 258 and 2? 258 Find the common denominator of -71/20 and 143/420. 420 Calculate the common denominator of 111/14 and 67/1454. 10178 What is the smallest common multiple of 225 and 5? 225 What is the common denominator of -167/504 and 107/378? 1512 What is the smallest common multiple of 33 and 10? 330 Calculate the lowest common multiple of 56 and 98. 392 What is the smallest common multiple of 360 and 40? 360 Calculate the lowest common multiple of 132 and 18. 396 What is the lowest common multiple of 4 and 193? 772 Calculate the least common multiple of 92 and 60. 1380 Calculate the lowest common multiple of 448 and 40. 2240 Calculate the smallest common multiple of 77 and 176. 1232 Calculate the common denominator of 82/45 and -77/45. 45 What is the lowest common multiple of 10 and 87? 870 Calculate the least common multiple of 1176 and 28. 1176 Calculate the lowest common multiple of 70 and 21. 210 Calculate the common denominator of -65/6 and -121/1830. 1830 What is the least common multiple of 4552 and 32? 18208 What is the smallest common multiple of 24 and 32? 96 What is the least common multiple of 20 and 92? 460 Calculate the least common multiple of 452 and 36. 4068 What is the lowest common multiple of 20 and 98? 980 Find the common denominator of 83/28 and -9/116. 812 What is the common denominator of -89/8 and -87/104? 104 Find the common denominator of -36/7 and 1/677. 4739 Calculate the common denominator of 67/124 and -3/155. 620 Calculate the smallest common multiple of 820 and 2788. 13940 Calculate the lowest common multiple of 6 and 398. 1194 Find the common denominator of 5/12 and 63/5780. 17340 What is the lowest common multiple of 660 and 528? 2640 What is the common denominator of 39/50 and -133/300? 300 Calculate the least common multiple of 3268 and 285. 49020 Calculate the smallest common multiple of 4 and 43. 172 What is the smallest common multiple of 54 and 18? 54 What is the least common multiple of 4928 and 6? 14784 What is the common denominator of 145/6 and -79/438? 438 Calculate the smallest common multiple of 10032 and 6. 10032 What is the common denominator of -75/2 and 34/47? 94 Calculate the common denominator of 11/40 and -113/2520. 2520 Calculate the lowest common multiple of 320 and 30. 960 What is the least common multiple of 3 and 74? 222 Find the common denominator of -33/50 and 44/125. 250 Find the common denominator of 101/4900 and 31/49. 4900 Calculate the common denominator of -13/18 and 79/30050. 270450 What is the common denominator of -61/3498 and 25/77? 24486 Find the common denominator of -97/10 and -53/4286. 21430 Calculate the least common multiple of 310 and 36. 5580 Find the common denominator of -82/99 and 11/21. 693 Calculate the smallest common multiple of 80 and 100. 400 Find the common denominator of -133/204 and 36/11. 2244 What is the smallest common multiple of 45 and 89? 4005 What is the common denominator of -43/398 and -29/4? 796 Find the common denominator of 17/135 and 17/135. 135 Calculate the lowest common multiple of 234 and 390. 1170 What is the lowest common multiple of 30 and 7923? 79230 Calculate the smallest common multiple of 130 and 265. 6890 Find the common denominator of -19/40 and -23/220. 440 Calculate the lowest common multiple of 1720 and 2236. 22360 Calculate the lowest common multiple of 810 and 282. 38070 Find the common denominator of -19/5 and -179/360. 360 What is the least common multiple of 20 and 66? 660 What is the smallest common multiple of 106 and 54? 2862 What is the least common multiple of 1 and 9? 9 Calculate the common denominator of -46/99 and -18/539. 4851 Find the common denominator of 155/462 and -29/147. 3234 Calculate the smallest common multiple of 172 and 1724. 74132 Calculate the common denominator of -103/732 and 89/732. 732 What is the common denominator of 127/170 and 27/170? 170 Find the common denominator of -71/1656 and 97/168. 11592 What is the common denominator of -25/9 and 23/232? 2088 Calculate the common denominator of 71/9 and -40/2691. 2691 Calculate the least common multiple of 45 and 4245. 12735 What is the common denominator of 113/20 and -11/2160? 2160 Calculate the lowest common multiple of 30 and 33. 330 Calculate the common denominator of 27/10 and 113/396. 1980 What is the smallest common multiple of 1587 and 2277? 52371 Calculate the smallest common multiple of 4095 and 435. 118755 Calculate the common denominator of 123/50 and -8/215. 2150 What is the least common multiple of 35 and 40? 280 Find the common denominator of -49/5 and 29/3. 15 Find the common denominator of 57/20 and -19/11950. 23900 Find the common denominator of -45/2107 and -43/3. 6321 Calculate the common denominator of 31/48 and 155/222. 1776 Calculate the lowest common multiple of 420 and 40. 840 What is the smallest common multiple of 24 and 102? 408 What is the common denominator of -46/11 and -8/129? 1419 Calculate the lowest common multiple of 200 and 255. 10200 What is the least common multiple of 14 and 731? 10234 Calculate the lowest common multiple of 213 and 30. 2130 Calculate the common denominator of 143/42 and 17/147. 294 What is the common denominator of -46/553 and -39/49? 3871 Calculate the common denominator of 47/12 and -47/1358. 8148 Calculate the least common multiple of 25 and 12. 300 What is the least common multiple of 48 and 1242? 9936 What is the common denominator of 68/9 and -23/162? 162 Find the common denominator of 1/4767 and -107/56. 38136 What is the least common multiple of 402 and 4? 804 What is the least common multiple of 4 and 1? 4 Calculate the lowest common multiple of 1205 and 1446. 7230 Calculate the lowest common multiple of 30340 and 5. 30340 Calculate the common denominator of 75/4 and -55/304. 304 Calculate the common denominator of -43/2460 and -95/16. 9840 Calculate the lowest common multiple of 6 and 53. 318 What is the common denominator of 7/1200 and 77/480? 2400 Calculate the common denominator of 95/56 and -48/77. 616 Find the common denominator of 17/1852 and -59/7. 12964 Calculate the smallest common multiple of 77 and 119. 1309 Calculate the smallest common multiple of 128 and 8. 128 Find the common denominator of -119/18 and -87/16696. 150264 What is the common denominator of -33/4 and -45/20758? 41516 What is the smallest common multiple of 396 and 2? 396 Find the common denominator of 29/18 and 16/15387. 92322 Calculate the smallest common multiple of 6 and 18. 18 Calculate the common denominator of 43/1827 and 169/378. 10962 Calculate the lowest common multiple of 780 and 1950. 3900 What is the common denominator of 11/78 and -173/126? 1638 Find the common denominator of -59/10 and 41/40. 40 What is the lowest common multiple of 3102 and 22? 3102 What is the least common multiple of 4948 and 24? 29688 Calculate the common denominator of 19/54
{ "pile_set_name": "DM Mathematics" }
inder when u is divided by 21. 14 Suppose q - 1084 = -1051 + 1763. What is the remainder when q is divided by 44? 36 Suppose -4*m = -5*p - 2*m + 52, -8 = -2*m. Suppose p*k - 9*k = -42. Let g = 5 - k. What is the remainder when 94 is divided by g? 18 Suppose -144*t + 139*t = -10. Suppose t*m = -v + 65, 0*m = -2*m - 4*v + 62. Calculate the remainder when m is divided by 22. 11 Suppose 40*i - 130 = 30. Suppose i*r - 37 = -5*x + 2*r, 2*x + 4*r = 18. Calculate the remainder when 117 is divided by x. 5 Let m(w) = -w + 1. Let v be m(1). Let k(s) = s**3 - s**2 - s + 6. Let b be k(v). Suppose -74 = -b*n + 52. Calculate the remainder when n is divided by 4. 1 Let g be -3*(3 + 28/(-12)) - -262. Let l = g - 235. What is the remainder when 52 is divided by l? 2 Let m(k) be the third derivative of k**5/20 + 5*k**4/12 - 20*k**3/3 - 73*k**2. What is the remainder when 372 is divided by m(-6)? 4 Suppose 0 = 3*k - 2*s - 254, -6*k + 172 = -4*k - 4*s. Calculate the remainder when 130 is divided by k. 46 Calculate the remainder when 26/(-104) - (23673/(-12) - (-3)/2) is divided by 25. 21 Suppose -1 = n, 23*p - 25*p + 1433 = -5*n. What is the remainder when p is divided by 74? 48 Calculate the remainder when (-7)/((-315)/40)*(-264942)/(-164) is divided by 71. 16 Let l(o) = 23*o**2 - 2*o - 1. Calculate the remainder when 346 - ((-2724)/4994)/(-1 + (-19)/(-22)) is divided by l(2). 81 Let q = 18662 + -18650. Let i = 88 - 56. Calculate the remainder when i is divided by q. 8 Suppose -22*m = -8*m - 20650. Suppose 6*j + m = 5*r + 9*j, 0 = 5*r - 5*j - 1475. Calculate the remainder when r is divided by 74. 73 Suppose 0 = 2*n - 6, -4*f + 839 = n - 580. What is the remainder when f is divided by 94? 72 Let d(u) = 61*u + 210. Calculate the remainder when 5033 is divided by d(24). 11 Suppose -3*f + 22 - 10 = 0. Suppose f*d - 4*a - 180 = 2*d, -4*d + 352 = -4*a. What is the remainder when d is divided by 3 + -1*(-21 - -2)? 20 Calculate the remainder when -235 + 1467 + 9*2 is divided by 140. 130 Let h(q) = -52*q**3 - 51*q**3 + 4 - 3*q**2 + 104*q**3 - 6*q. Let s = 110 + -105. What is the remainder when h(s) is divided by 9? 6 Calculate the remainder when 8/(-184) + 33812/46 is divided by 41. 38 Suppose -4*a - u = -3*a - 73, -2*u = a - 72. Let b(n) = -3*n**3 + 44*n**2 - 33*n + 24. Calculate the remainder when b(13) is divided by a. 70 Let j be 1*((-4 - -1 - -1) + -11). Let b = -101 + 145. Let x = b + j. What is the remainder when x is divided by 17? 14 Let m(f) = -f**3 + 4 - 20*f - 1 + 18*f + 8*f**2. Suppose -16*o + 2263 + 745 = 0. What is the remainder when o is divided by m(7)? 36 Let s = 1611 - 1607. Let o = 33 - 18. Calculate the remainder when o is divided by s. 3 Let v(g) = -2*g**3 + 24*g**2 + 35*g - 618. Calculate the remainder when 322 is divided by v(11). 7 Calculate the remainder when 560 is divided by 7 - (7 + 10 - 193). 11 Let r be -19 + 2/(-8) + 25/20. Let p = 72 + r. What is the remainder when p is divided by 24? 6 Suppose -5*a + 3*z + 383 = 0, 164*a - 169*a - 2*z + 403 = 0. What is the remainder when 4895 is divided by a? 76 Let t = -28 + 30. Suppose -t*n = 3*n + 25. Let r = n - -12. What is the remainder when 17 is divided by r? 3 Suppose 0 = -2*q + 73*o - 78*o + 323, -10 = -2*o. What is the remainder when 2084 is divided by q? 147 Let x = -228 + 232. Suppose -29 + 1 = -x*i. Let s = 18 - 10. What is the remainder when s is divided by i? 1 Suppose 6*o - 387 + 429 = 3*d, 0 = -3*d + 2*o + 34. Suppose 2*v + 1 = 7. Calculate the remainder when d is divided by v. 1 Suppose -68 = -2*g + 4*r + 94, 0 = -5*g + 4*r + 423. What is the remainder when 577 is divided by g? 55 What is the remainder when 706 is divided by (2 - 18/12)*24? 10 Let j(r) = 4*r**2 - 5*r + 3. Let o be (-19068)/35*(0 - 5/2). Suppose o + 1358 = 20*k. What is the remainder when k is divided by j(4)? 42 Suppose 452 = 15*h - 478. Calculate the remainder when 5/15*(3 + -11 + 611) is divided by h. 15 Suppose -4*y + 33 + 3 = 4*a, 0 = 4*a - 2*y - 42. Calculate the remainder when 635 is divided by a. 5 Let x(d) = -4*d + 47. Let c be x(15). Let v(h) = 3*h + 10. Let j be v(6). Let s = j + c. What is the remainder when s is divided by 4? 3 Suppose 32 = b + 13. What is the remainder when 3/(-6)*(-264 + 6 + 4) is divided by b? 13 Let m(c) = -2*c + 1. Suppose -6 = -8*g + 11*g, h - 3*g = 24. What is the remainder when h is divided by m(-1)? 0 Suppose 0 = -4*l + 4*s + 6020, 11*l + 3*s - 4521 = 8*l. Let v = 1549 - l. Suppose -n = 3 - 26. Calculate the remainder when v is divided by n. 20 Let p = 567 - 566. What is the remainder when 31 is divided by (p - -1*6)*(-250 + 251)? 3 Suppose -u + 692 = 2*u + 5*n, -1168 = -5*u - n. Suppose o = -5*z + 275, 4*z - 7*o + 5*o - u = 0. What is the remainder when z is divided by 21? 14 Suppose -j = -3*n + 129 - 153, 2*j - 111 = -3*n. What is the remainder when 256 is divided by j? 31 Let f = 256 - 169. Suppose 0 = -5*l - 14 - 126. Let d = l - -51. What is the remainder when f is divided by d? 18 What is the remainder when (16/(-28))/(6/(-7329)) is divided by 177? 167 Calculate the remainder when ((-4026)/55 - 15)/(34/20 - 2) is divided by 292. 2 Let g(z) = -z**2 + z + 4. Let j be g(3). Let h(y) = -4*y. Suppose 4*c - 2*c - r = 13, -12*c = -r - 73. What is the remainder when h(j) is divided by c? 2 Let y be (32/(-24))/((-2)/9). Suppose 0 = -y*k + 15*k - 828. Suppose 0 = -3*o + s + 91, 3*o - k = -0*s + 2*s. What is the remainder when 59 is divided by o? 29 Let u(y) = -16*y + 79. Let c be u(5). What is the remainder when (-60)/50*-270 - (c + -2) is divided by 41? 40 Let u be (-4)/(-7) + 68/(-119). Suppose 2*r - 3*t - 9 = 0, -5*r + 2*t + u*t + 17 = 0. What is the remainder when 22 is divided by r? 1 Suppose -176 = -7*k + 797. Suppose 0 = 7*g - k - 64. Calculate the remainder when 80 is divided by g. 22 Let p = -237 - -254. What is the remainder when 75 is divided by p? 7 Let p be -1 - 1 - -7 - (-7 + 5). Suppose -p*o + 4*o + 20 = -n, o = 4*n + 3. Calculate the remainder when 139 is divided by o. 6 Let o = 12486 + -12310. What is the remainder when o is divided by 85? 6 Let d(u) = -1678*u - 25153. Let q = -71 + 27. Let m = 109 + q. Calculate the remainder when m is divided by d(-15). 14 Suppose -163*z + 113 = -162*z - 5*v, -4*v - 452 = -4*z. Let i = -95 - -173. Let a = z - i. Calculate the remainder when 101 is divided by a. 31 Suppose -1570*z + 253 = -1559*z. What is the remainder when 3858 is divided by z? 17 Suppose 2684 = 25*h + 41*h - 5*h. Calculate the remainder when 262 is divided by h. 42 Let t = 733 - 731. Suppose -970 = t*d - 4*d - 2*m, -4*d + 4*m + 1924 = 0. Calculate the remainder when d is divided by 11. 10 Let x = 1559 - 1532. What is the remainder when 2698 is divided by x? 25 Let a(r) = -r**2 + 6*r - 6. Suppose 2*j - 42 = -4*j. Suppose 10 = k + j. What is the remainder when 26 is divided by a(k)? 2 Let z(t) = 135*t - 1766. Calculate the remainder when z(16) is divided by 108. 70 Suppose i = s, 4*i = 5*s + 8*i. Let g(c) = c**3 - 3*c**2 - c + 70. What is the remainder when g(s) is divided by 38? 32 Suppose -343 = -5*v + 2*s, -36 = -3*v + 2*s + 173. What is the remainder when 159 is divided by v? 25 Let o = -14 + 9. Suppose -14*b + 0*b - 28 = 0. Calculate the remainder when 16 is divided by (-76)/o + b + 2/(-10). 3 Calculate the remainder when (-24)/(-36) + -1466*(-2)/12 is divided by 70. 35 Suppose 6*n - 707 = -n. Let m be (2 - 3)*(50 + 2). Let z = -18 - m. Calculate the remainder when n is divided by z. 33 Suppose 21255 = 144*n + 5991. Calculate the remainder when 247 is divided by n. 35 Suppose 20*b = 21*b - 6. Suppose -3*r = -7*r + 20, -r + 15 = 2*o. Calculate the remainder when o is divided by (2/b)/((-4)/(-12)). 0 Suppose -3*d + 3 = -4*p, -p + 5 = 2. Let f(s) = s**3 + 5*s**2 + 6*s + 12. Calculate the remainder when f(-3) is divided by d. 2 Let w = -368 - -411. Suppose -44*x + w*x = -18. What is the remainder when 24 is divided by x? 6 Let r(c) = -c**3 - 2*c**2 - 6*c + 328. What is the remainder when r(-13) is divided by 11? 10 Suppose 0 = 7*b - 68 - 23. Calculate the remainder when b is divided by 9 + -7 + 5 + 1 + -3. 3 Suppose -l + 2*l = 6*l. Calculate the remainder when (2 - l)*(-8)/(-16) is divided by 1. 0 Let r = 433 - 354. Let j = 387 + -155. Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
r = 0 for r. 0 Let i(v) = v + 8. Let j be i(-7). Solve -f = -6 + j for f. 5 Suppose -x + p = -4, 5*x - 18 = 2*p + 2*p. Let n = -3 - -3. Suppose n*f = -5*f. Solve f*t + 4 = x*t for t. 2 Suppose -2*w - w = v - 18, -4*w + v + 31 = 0. Solve 5*q = -w + 2 for q. -1 Let i be 2/(-4)*(-48)/8. Solve i*m + 3 - 9 = 0 for m. 2 Let z(i) = -i**3 - 15*i**2 + 12*i - 64. Let v be z(-16). Let t(s) = -s**3 + 2*s**2 + 4*s + 1. Let a be t(3). Solve v - a = n for n. -4 Let b = 26 + -17. Let l be (-3*6/b)/1. Let t be 1 + l/(-1) + -3. Solve t = -w + 3*w for w. 0 Let c be 28/(-21) + (-14)/(-6). Solve c - 6 = b for b. -5 Let u(v) = 2*v + 12. Let i be u(-11). Let r be ((-16)/i - 1)*5. Solve -r + 4 = c for c. 1 Let d(w) = w**3 - w. Suppose -2*b - 3*b = 0. Let p be (b/2)/(3 - 2). Let v be d(p). Solve -3*f + 12 = -v*f for f. 4 Let b(k) = -2*k + 5. Let z be b(4). Let t(u) = u**2 + 2*u - 4. Let l be t(z). Let f(p) = -4*p. Let w be f(l). Solve 22 = w*h + 2 for h. 5 Let x(i) = -i**3 + 4*i**2 - 2*i - 3. Let h be 33/9 + 4/(-6). Let o be x(h). Solve o = 3*v - 7*v - 4 for v. -1 Let n(g) = g - 4*g + 3 + 0*g. Let h be n(-8). Let p = h - 18. Solve -3*m = -6*m - p for m. -3 Let c be (20/12)/(1/3). Solve c = -o - 0 for o. -5 Let w(m) be the second derivative of -m**5/20 + 5*m**4/6 - 3*m. Let s be w(10). Solve -4*q = -12 - s for q. 3 Let w = -8 + 17. Suppose -9 = 2*d + m, -5*d + 10 = -0*d - 4*m. Let y = -1 - d. Solve 5*z - w - y = 0 for z. 2 Let g(b) = 3*b**3. Let z be g(1). Suppose -w = 5, -z*l = -3*w - 3 - 27. Solve 3*u - 2 = -l for u. -1 Suppose -6*n = 2 - 38. Solve -2 + n = -2*x for x. -2 Let f be (-150)/(-9) + 3/9. Let t = f + -12. Suppose 0 = -5*x + t, 2*x - 1 = -2*g + x. Solve 0*o + 2*o = g for o. 0 Let l = 32 + -12. Suppose l = 4*g - 60. Let b(c) = c**2 + 2*c + 2. Let r be b(-3). Solve 5*t = -r - g for t. -5 Suppose 0 = -v - v + 6. Suppose -1 = -q + m, 2*q + 3*m = q - v. Solve -2*c + c + 5 = q for c. 5 Let y(h) = 33*h**2 + 2*h + 1. Let x be y(-1). Solve -12 + x = 5*l for l. 4 Suppose 4*x + 2*r = 18, x = -2*r + r + 2. Let k = x - 5. Let l be ((-20)/6)/(k/(-6)). Solve n = -n + l for n. 5 Suppose 3*i = 4*i + 8. Let s = i + 15. Solve 0 = -4*g + s + 1 for g. 2 Let w(v) = 2*v**2 + 3*v - 2. Let x be w(3). Solve 4*r = -r + x for r. 5 Suppose 4 = 2*n + 2*n. Let h be (-1 - 1)/2 + -2. Let c = n - h. Solve -3*g - c = 8 for g. -4 Let w = 3 - 3. Let a(b) = -11*b - 22. Let h be a(-2). Solve w = -h*g - 4*g for g. 0 Suppose 0 = i - 1 - 3. Suppose r + 1 = 11. Solve r = -i*v - 10 for v. -5 Suppose 5*c - 4 = c. Solve 11 = 2*j + c for j. 5 Let s(l) = -l**3 - 8*l**2 - 7*l + 5. Let i be s(-7). Suppose -i*c + 4*y = -8, -2*c + 5*y + 2 = 4*y. Solve -5*q + 15 = -c*q for q. 3 Let k be (30/18)/(1/3). Solve k*x = 24 + 1 for x. 5 Let t(u) = u**2 - 9*u + 10. Let z be t(8). Suppose 6 = y - 3*y + z*v, -5*y + 30 = 4*v. Solve 25 = 3*w + y*w for w. 5 Let k(j) be the third derivative of -4*j**2 + 1/8*j**4 + 0 + 1/10*j**5 + 0*j + 1/3*j**3 - 1/120*j**6. Let x be k(6). Solve 0 = 4*v + v - x for v. 4 Let k be 1*3*(-1)/(-1). Suppose k*a + a - 16 = 0. Suppose -p + 4*p = -5*o + 11, 20 = 2*p - 3*o. Solve -a*v + 9 = -p for v. 4 Let z = 0 + 0. Suppose 3*q + 2*q - 20 = z. Let p be (-12)/(-24)*(1 - 1). Solve -x + q - 2 = p for x. 2 Suppose 0 = t - 2 - 1. Suppose -5*m + 115 = -4*f, -7*f + 106 = t*m - 2*f. Let z be 1/(-2) + m/6. Solve 2*y = -0 - z for y. -2 Suppose 2*h + h - 9 = 0. Let z be -2*(-2)/8*-6. Let p = h + z. Solve p = -0*v + 3*v - 12 for v. 4 Suppose 4*y - s = 4 - 0, 4*y - 2*s = 8. Solve -3*p + 2*p + 2 = y for p. 2 Let o(y) = 3 + 2*y + 13*y + 1 - y**2. Let v be o(14). Solve -5*n = 3 - v for n. 3 Let o = 13 - -2. Suppose 0 = 4*c - 29 - o. Suppose 3*w + 2 = c. Solve -4*p + w = -3*p for p. 3 Suppose 0 = 2*h - 6*h - 4. Let x = 3 - h. Suppose w = -x*w. Solve w*k + 2 = 2*k for k. 1 Suppose y + 2 - 26 = 0. Suppose 0 = -2*c - d + 30, 5*c + 2*d = 7*d + 75. Let s be 5/2*y/c. Solve 0 = -s*h - h - 25 for h. -5 Suppose -4*j + 30 = 6. Solve 0 = 2*r - j for r. 3 Let q(a) = -a**3 + 8*a**2 - 5*a - 10. Let m be q(7). Suppose 5 = k - j, -4*k - m*j - 7 + 43 = 0. Solve k + 13 = -4*b for b. -5 Let a = 0 + 4. Let j be a/(-10) - 154/(-10). Solve 2*c - j = 5*c for c. -5 Let n be 39 + -1 + 3 + -1. Let d be ((-3)/6)/((-1)/n). Solve -3*g = -8*g - d for g. -4 Let d be ((-55)/5)/(2/(-2)). Let l = d + -8. Solve 2*n + l = n for n. -3 Let t(s) = -4*s + 2. Let d(c) = c. Let r(b) = 3*d(b) + t(b). Let z be r(-4). Solve -2*f = -16 + z for f. 5 Suppose 3*t = -5*g - 6, 3*g + 6 = t - 6. Let n(s) = t + 6*s - 3 + 5 - 3 - s**2. Let b be n(6). Solve b*o = 7*o + 10 for o. -2 Let h = -15 - -17. Solve -h*r = -1 - 1 for r. 1 Let v = 6 - 4. Solve -d + v*d = -4 for d. -4 Let x be 4/2*(-4 - 36/(-8)). Solve -x + 5 = -f for f. -4 Suppose -40 = -0*n + 5*n. Let r(l) = l + 12. Let y be r(n). Solve 0*p = p - y for p. 4 Let r(d) = -2*d + 2. Let j be r(3). Let c = j - -7. Suppose c = u - 5. Solve 4*b - u = -0 for b. 2 Let p(q) = q**3 - 2*q**2 - q - 1. Let u be p(3). Solve -r + 0*r = -u for r. 5 Let z = -7 + 10. Solve z*h - 15 = 6*h for h. -5 Let s(n) = 2*n - 10. Let m be s(8). Suppose -3*t + 21 = 3*l, 2*t + l - 6 - m = 0. Solve -t = -2*q + 1 for q. 3 Suppose c + 11 = 5*a - 5, 3*c + 3*a - 24 = 0. Solve 0 = -c*k + k - 12 for k. -4 Suppose -5*r + h + 21 = 0, 0*r + 5*h - 40 = -4*r. Suppose r*o - 6 = 4*s - 21, 0 = -s + o + 4. Solve -s = 4*l + 3 for l. -2 Suppose -9*h = -3*h - 12. Solve -o + h = o for o. 1 Let d(j) = j + 1. Let n(h) = 9*h + 15. Let b(m) = m. Let i(s) = 4*b(s) - n(s). Let x(k) = -6*d(k) - i(k). Let a be x(9). Solve 4*t + a*t + 12 = 0 for t. -3 Suppose k = -3*k + 3*g + 86, -2*k = -3*g - 46. Solve -6*q + q - k = 0 for q. -4 Let k(b) = b + 4. Let f(o) = -1. Let a(s) = -3*f(s) + k(s). Let d be a(-7). Suppose 5*w = 7*w. Solve d = -4*l - w*l for l. 0 Let o = 8 + -4. Solve w - o*w = 0 for w. 0 Let p = 11 - 11. Let h be (-2)/((-2 - -1) + -1). Solve -n = -h - p for n. 1 Let u(l) = -l**2 - 4*l + 3. Let t(p) = p**2 + 4*p - 3. Let s(z) = 4*t(z) + 3*u(z). Let c be s(-5). Suppose -c*a = -a - 3. Solve 0 = 5*i - a*i for i. 0 Let z(g) = g**2 + g - 6. Let w(j) = -j**3 - 5*j**2 + 6*j - 4. Let d be w(-6). Let b be z(d). Solve -c - b = c for c. -3 Suppose 0 = -78*m + 83*m - 55. Solve 2*b + m = 3 for b. -4 Suppose -2*m = -m - 2. Suppose m = 4*r + 5*n, 2*r + 2*n - 8 = -2*r. Solve r*p - 20 = -2*p for p. 4 Suppose 3*z + 4 = -11, b - z = 41. Suppose b = o + 2*o. Let j = o - 7. Solve j*f - 13 + 3 = 0 for f. 2 Suppose 0*u + 36 = 4*y - 2*u, -5*y - 3*u + 45 = 0. Solve -y = 8*l - 5*l for l. -3 Suppose 0 = -0*v - 5*v. Let p = 0 + v. Let w be (-2)/5 + 254/10. Solve 4*j + j + w = p for j. -5 Let x = 57 + -32. Suppose -j + x = 75. Let t be j*1*(-6)/15. Solve 0 = -3*y - 2*y - t for y. -4 Let j = -2 + 4. Let b be (-5)/(-2)*j + 1. Let x be 3/9 + (-22)/(-6). Solve -5*v - b = x for v. -2 Suppose -6 = -q - 0*q. Suppose -5*d + 45 = 5*c, -18 = -2*d - q*c + 3*c. Let n = d - 6. Solve -y = -n*y - 6 for y. -3 Suppose 7*h = 5*h. Let p be (h + 1)*(-1 - -12). Solve -9 = 5*v + p for v. -4 Suppose -n + 29 = 3*i, -2*i + 2*n = -3*n - 8. Let q = i - 6. Suppose 4*l = 3*f - 5, 0 = q*l - 3. Solve x + f*x = -12 for x. -3 Let v(y) be the second derivative of -y**4/12 + 11*y**3/6 + 6*y**2 - 2*y. Let i be v(12). Solve 5*d - 4 - 11 = i for d. 3 Let w(z) = z**2 - z - 2. Let r be w(2). Suppose -3*d + 5*c - 19 = 0, r = d - 2*d + 2*c - 8. Solve d - 7 = -5*u for u. 1 Suppose 0 = -0*p - 2*p + 4*b + 16, 2 = -2*b. Let w be (-2)/p + (-117)/(-27). Solve w = n + 3*n for n. 1 Let j = 34 + -34. Solve 0 = -3*l - j*l + 6 for l. 2 Suppose 5*q = -4*s - 2, 4*s - 5*q + 27 - 5 = 0. Let x be (s/(-2))/(4/8). Solve p + 16 = -x*p for p. -4 Suppose 5*k = -0 + 20. Suppose -g - 24 = -k*g. Let r(o) = -o + 11. Let c be r(g). Solve -3*x + 0 - c = 0 for x. -1 Suppose -5*i + 3*u + 2*u = -15, 0 = -4*i + u. Let d be 0/(i/(-1))*-1. Suppose d*z = -4*z + 8. Solve 0 = n - z*n - 5 for n. -5 Let w(b) be the first derivative of -b**2 - b - 3. Let t be w(-2). Solve 2*u - 15 = -t*u for u. 3 Let z = 1 + 11. Suppose -2*x = -5*c + 18, 4*x = -2*c + 2*x - 4. Solve -6*n - z = -c*n for n. -3 Let n be (-3)/(-4) + 147/28. Solve -6 = 4*q + n for q. -3 Suppose 3*p - 20 = 3*m - 2, -m = 3*p + 6. Let h(j) be the third derivative of j**6/120 + 7*j**5/60 + j**4/4 + j**2. Let k be h(
{ "pile_set_name": "DM Mathematics" }
hird derivative of f**5/30 + 5*f**2. Let o(i) = -2*i. What is s(o(j))? 8*j**2 Let m(u) = -13*u. Let j(b) = -7 + 2 + 5 - 2*b**2. Calculate j(m(y)). -338*y**2 Let m(n) be the third derivative of n**4/8 + 40*n**2. Let l(k) = 16*k**2. Calculate m(l(t)). 48*t**2 Let n(q) = -5*q**2 + 4*q. Let v(a) = 4*a**2 - 3*a. Let c(k) = -3*n(k) - 4*v(k). Let w(t) be the third derivative of t**5/30 + 44*t**2. What is c(w(r))? -4*r**4 Let c(y) = y. Let j(k) = -3*k - 7. Determine c(j(o)). -3*o - 7 Let i(k) = k - 8. Let f(w) = 5*w. Give i(f(y)). 5*y - 8 Let r(o) = -2*o + 1 - 1. Let t be 24/(-32) + (-19)/(-4). Let d(j) = -4*j + 6*j - t*j. Calculate d(r(i)). 4*i Let z(n) = -4*n. Let v(x) = -535*x. Calculate v(z(d)). 2140*d Let w(y) = -4*y**2. Let x(g) = -5*g - 4. Calculate x(w(v)). 20*v**2 - 4 Let n(r) = -9*r**2. Let w = -4 - 3. Let c(y) = 10*y**2. Let o(q) = w*n(q) - 6*c(q). Let a(k) = -k - 2*k + k + 3*k. Give o(a(p)). 3*p**2 Let c(a) = -156*a**2 + 70*a**2 + 77*a**2. Let f(q) = -q. Determine c(f(g)). -9*g**2 Let s(w) = w**2. Let h(x) = 6782*x. What is s(h(m))? 45995524*m**2 Let r(f) = -24*f. Let n(k) = 4*k**2. Give n(r(l)). 2304*l**2 Let b(g) be the second derivative of 0*g**3 + 0*g**2 + 0 + 1/12*g**4 + 2*g. Let o(r) be the second derivative of -r**3/2 + r. Give o(b(y)). -3*y**2 Let j(b) be the first derivative of -1/2*b**2 + 0*b - 2. Let w(o) = -5*o**2. What is j(w(s))? 5*s**2 Let c(j) be the first derivative of 1 + 0*j**2 + 2/3*j**3 + 0*j. Let f(a) be the third derivative of a**4/24 + a**2. Give c(f(z)). 2*z**2 Let b(y) = 60*y. Let z(k) = -40*k. Determine z(b(i)). -2400*i Let h(g) = -5*g. Let b(d) = 12*d**2 - 16*d**2 - 2*d + 2*d. Calculate b(h(z)). -100*z**2 Let o(p) = -4*p. Let h(k) be the first derivative of k**3/3 + 3. Give o(h(r)). -4*r**2 Let z(x) = 2. Let c(r) = r - 3. Let h(a) = 2*c(a) + 3*z(a). Let s(d) be the third derivative of 0 + 2*d**2 + 0*d + 0*d**3 + 1/12*d**4. Calculate s(h(t)). 4*t Let s(c) be the second derivative of -c**3/3 + c. Let f(p) = 6*p. Suppose -y + 20 = 3*y. Let h(l) = l. Let v(a) = y*h(a) - f(a). Calculate s(v(r)). 2*r Let p(b) = 128*b**2. Let w(u) = -2*u**2. What is p(w(h))? 512*h**4 Let r(d) = -3*d - 2. Let p be (-34)/(-10) + 12/(-30). Let x(k) = k + 1. Let c(v) = p*r(v) + 6*x(v). Let u(j) = -j**2. Determine c(u(w)). 3*w**2 Let h(a) = -a + 5*a - 4*a - a. Let z(f) = -4*f**2. Give z(h(c)). -4*c**2 Let v(a) = 56*a - 48. Let u(p) = p - 1. Let y(l) = 48*u(l) - v(l). Let b(o) = -2*o. Give b(y(f)). 16*f Let s(l) = -5*l. Let p(u) be the third derivative of -u**4/8 + 3*u**2. Calculate p(s(y)). 15*y Let m(o) = -21*o. Let p(y) = -3*y. Let x be 1*(3*6 - 3). Let b(h) = x*p(h) - 2*m(h). Let u(i) = -i. Give b(u(l)). 3*l Let v(c) = -2 + 18*c - 5 + 7. Let n(m) = m. Calculate n(v(s)). 18*s Let s(z) be the second derivative of -z**3/3 - 4*z. Let w(p) = 3*p. Calculate s(w(q)). -6*q Let z be (8/4 - 2)*-1. Let a(u) = 0*u - u + 3*u + z*u. Let s(i) = -3*i**2. Calculate s(a(g)). -12*g**2 Let i(y) = y**2 + 2*y - 1. Let g be i(1). Let r(j) = -g*j + 0 + 0. Let z(t) = -t - 1. Let m(s) = 3. Let c(h) = m(h) + 3*z(h). Calculate c(r(l)). 6*l Suppose 0 = -0*u - 3*u + 3, 2*u - 4 = 2*b. Let z be b/((-3)/12 - 0). Let g(r) = -4*r**2 - 4*r + z*r + 6*r**2. Let h(c) = 2*c. What is h(g(n))? 4*n**2 Let p(v) be the first derivative of v**3/3 - 2*v**2 - 2. Let g be p(4). Let o(i) = -4*i + g*i + 3*i. Let r(c) = c**2. Give o(r(l)). -l**2 Let a(g) be the first derivative of 12*g**2 - 5. Let w(s) = 2*s. Calculate a(w(c)). 48*c Let m(v) = -2*v. Let n(l) = -15*l**2. Calculate n(m(u)). -60*u**2 Let j(q) = -q**2. Let v(t) = 11*t**2 + 6*t. Let r(l) = -120*l**2 - 65*l. Let b(p) = -6*r(p) - 65*v(p). Calculate j(b(h)). -25*h**4 Let b(z) = z + 1. Let l(p) = 14*p + 3. Let t(i) = 3*b(i) - l(i). Let n(f) = 2*f. What is t(n(u))? -22*u Let p(d) = -21*d**2 - 5*d. Let w(f) = 17*f. What is w(p(y))? -357*y**2 - 85*y Let u(r) be the third derivative of -5*r**4/24 - 2*r**2. Let g(o) be the second derivative of -1/3*o**3 + 0*o**2 + o + 0. Give g(u(j)). 10*j Let f(w) = -450*w**2 + 2. Let a(g) = 2*g. What is a(f(q))? -900*q**2 + 4 Let m(s) = -8*s**2. Let o(n) be the third derivative of -n**8/10080 + n**5/60 + 7*n**2. Let k(q) be the third derivative of o(q). Calculate k(m(z)). -128*z**4 Let u = 2 + -1. Let p(x) = -2*x - 1 + u. Let j(i) be the first derivative of -i**3 - 3. Calculate j(p(o)). -12*o**2 Suppose 2*w = 2 + 4. Let i(t) = -4*t + w*t - t. Let h(r) be the first derivative of -5*r**2/2 - 52. Give h(i(m)). 10*m Let o(j) = -2*j**2 - 21. Let f(y) = -2*y. Calculate f(o(x)). 4*x**2 + 42 Let x(k) = 9*k**2. Let r(y) = -14*y. Let n(w) = 5*w. Let g(l) = -8*n(l) - 3*r(l). Determine x(g(m)). 36*m**2 Let g(r) be the first derivative of 3*r**2/2 - 2. Let w(d) = 4*d. What is g(w(y))? 12*y Let k(r) = -5*r. Let l(h) = -15*h + 4. Calculate k(l(g)). 75*g - 20 Let h(z) = -35*z**2. Let x(a) = 8*a. What is h(x(u))? -2240*u**2 Let u(t) = 16*t**2. Let v(b) = 4*b**2 + b. Give u(v(o)). 256*o**4 + 128*o**3 + 16*o**2 Let s be (-46)/(-14) + (-2)/7. Let n(h) = -h - s*h + 0*h. Let q(x) = -4*x + 3. Let o(w) = -23*w + 17. Let l(j) = -6*o(j) + 34*q(j). Determine l(n(v)). -8*v Let b(k) = k**2. Let g(x) = 20*x**2. Let u(v) = -15*v**2 + 28*v**2 - 3*v + 3*v. Let l(i) = -5*g(i) + 8*u(i). Calculate b(l(w)). 16*w**4 Let q(r) = -r**2. Let b(z) = -2041*z**2. Give b(q(i)). -2041*i**4 Let k(s) = 10*s. Let t(w) = w + 0*w + 2*w - w. Give k(t(b)). 20*b Let u(w) = 314*w**2. Let o(c) = -c. Calculate u(o(n)). 314*n**2 Let z(w) = 7*w. Let r(k) = 8*k - 7. Let d(n) = n - 1. Let a(v) = 14*d(v) - 2*r(v). Give a(z(l)). -14*l Let h(l) be the second derivative of -l**4/6 - 2*l - 76. Let o(t) = -7*t**2 - 2 + 2. What is h(o(m))? -98*m**4 Let l(g) = 12*g**2. Let y(q) = 46*q. Determine y(l(o)). 552*o**2 Let s(f) = f + 1. Let r(n) = 3*n + 2. Let k(d) = -r(d) + 2*s(d). Let p(l) = -3*l**2 + 13*l. Let y(j) = -j**2 + 6*j. Let q(u) = -6*p(u) + 13*y(u). Give q(k(o)). 5*o**2 Let j(m) = 3*m. Let s(w) be the first derivative of -7*w**2/2 - 1. Give j(s(i)). -21*i Let g(h) = 13*h - 3. Let m(s) = -2*s. What is g(m(x))? -26*x - 3 Suppose 3*x + 0 = 12. Suppose x*k + 65 = 9*k. Let c(f) = 6*f**2. Let q(g) = -14*g**2. Let u(d) = k*c(d) + 6*q(d). Let j(h) = 2*h. What is u(j(p))? -24*p**2 Let d(s) = -2*s. Let z(f) be the first derivative of -f**3/3 - f**2 - 6. Let j(p) = p. Let m(w) = -2*j(w) - z(w). Determine d(m(v)). -2*v**2 Let q(c) = -10*c**2 + 5*c**2 + 7*c**2. Let r(x) = -12*x**2 + 17. Suppose 3*z - 17 = -119. Let u(l) = 2*l**2 - 3. Let i(v) = z*u(v) - 6*r(v). Give q(i(g)). 32*g**4 Let y(p) = 9 - 9 - p**2. Let u = -6 - -8. Let f(a) = -4*a**u - 3*a + 3*a. Give f(y(i)). -4*i**4 Let q(h) = 3*h + 2*h + h - 2*h. Let s(f) = f**2. Give s(q(r)). 16*r**2 Let s(m) = 11*m. Let u(c) = 5*c. Let g(x) = -6*s(x) + 13*u(x). Let a(t) be the second derivative of 11*t**4/12 - t. Determine a(g(y)). 11*y**2 Let n(f) = 3*f. Let x(l) = -1185*l. Determine x(n(j)). -3555*j Let n(x) = -x**2. Let r(b) = -450*b + 2. Determine n(r(w)). -202500*w**2 + 1800*w - 4 Let v(y) = 6*y. Let d(s) be the third derivative of -s**5/10 + 7*s**2. Calculate v(d(z)). -36*z**2 Let g(y) = -459*y. Let c(p) = p. Determine g(c(h)). -459*h Let x(a) = -8*a**2. Let f(t) = 3*t**2 - 10*t - 2*t**2 + 10*t. Determine f(x(w)). 64*w**4 Let u(w) = w. Let k(t) = -413*t. What is u(k(r))? -413*r Let q(j) = -4*j**2. Let z(a) = -a + 7. Determine z(q(h)). 4*h**2 + 7 Let f(l) = -22*l**2. Let m(k) = -17*k. Give m(f(r)). 374*r**2 Let c(x) = -5*x**2. Let a(v) = 2*v - 31. What is a(c(d))? -10*d**2 - 31 Let r(j) = -322*j + 322*j + j**2. Let p(m) = -6*m. Calculate r(p(v)). 36*v**2 Let c(r) = r. Let d(i) = -600*i**2 - 2*i. What is c(d(j))? -600*j**2 - 2*j Let b(z) = -1963*z. Let n(x) = 6*x**2. What is b(n(d))? -11778*d**2 Let c(v) = 55*v. Let y(k) = k + 2. Let f(z) = -4*z - 6. Let m(j) = f(j) + 3*y(j). What is c(m(t))? -55*t Let p(y) = -y**2 - 6*y - 1. Let d be p(-6). Let v(l) = 4*l**2 + l. Let g be v(d). Let s(k) = 3 - g - 4*k. Let x(w) = 2*w**2. Determine s(x(n)). -8*n**2 Let i(r) = 0 - 2*r**2 + 0. Let t(c) be the third derivative of -2*c**2 + 0 + 1/30*c**5 + 0*c + 0*c**4 + 0*c**3. What is t(i(l))? 8*l**4 Let r(t) = -2*t + 2113. Let i(o) = 2*o**2. Calculate i(r(x)). 8*x**2 - 16904*x + 8929538 Let r(g) = 2*g. Let f(o) = 5507*o**2. Calculate r(f
{ "pile_set_name": "DM Mathematics" }
, -0.13, 61/5, -5, -4/7 in ascending order. -5, -4/7, -0.13, 1/2, 61/5 Sort -5, -2, 0, -4, -3, -14599 in descending order. 0, -2, -3, -4, -5, -14599 Sort -13, 11, 1, -2390, 3 in decreasing order. 11, 3, 1, -13, -2390 Sort -4, -6, 29, -5, -12, -2 in ascending order. -12, -6, -5, -4, -2, 29 Sort -191748, -5, -1, 8/21, 0.1. -191748, -5, -1, 0.1, 8/21 Put 359, 2, -0.05, 0.3, -2/245, -4 in decreasing order. 359, 2, 0.3, -2/245, -0.05, -4 Sort -5, 2, 18, -8, -447, 1, -4. -447, -8, -5, -4, 1, 2, 18 Sort -3, 1, 1/14605817, 2 in increasing order. -3, 1/14605817, 1, 2 Sort 15, -5, 4, 1, -67980, 5 in decreasing order. 15, 5, 4, 1, -5, -67980 Put 0.63, 2, -10.7, -2/15, 2/111 in descending order. 2, 0.63, 2/111, -2/15, -10.7 Put 2, 3, -11, -2, 4, 60, -286 in decreasing order. 60, 4, 3, 2, -2, -11, -286 Sort 273, -3, 1607 in increasing order. -3, 273, 1607 Put 17, 4, -41, -2, 103, 3 in descending order. 103, 17, 4, 3, -2, -41 Sort 5, -5, 0, -20550126 in descending order. 5, 0, -5, -20550126 Put -6.2, 1, -132.8, -2/7 in ascending order. -132.8, -6.2, -2/7, 1 Sort 37, -6, -63.0767, 0.4. -63.0767, -6, 0.4, 37 Sort -1, 4007174, 11 in increasing order. -1, 11, 4007174 Sort 2, -2/19, -426211 in increasing order. -426211, -2/19, 2 Put 1, -455, -14095 in descending order. 1, -455, -14095 Put 22, 15, -1, -203, 0, 1, 2 in descending order. 22, 15, 2, 1, 0, -1, -203 Put 399, 2, 4252 in ascending order. 2, 399, 4252 Put -47, 0, -1/13, 7/569 in ascending order. -47, -1/13, 0, 7/569 Sort 25, -4, -2, 3, -5, 13, 11 in ascending order. -5, -4, -2, 3, 11, 13, 25 Put -27, 1, 3, 5, 18, 0.2, -0.14 in decreasing order. 18, 5, 3, 1, 0.2, -0.14, -27 Sort 3/4, -564, 15, -42. -564, -42, 3/4, 15 Put 2, 4, -362, 112, -3 in decreasing order. 112, 4, 2, -3, -362 Sort 0, -14, 1110022 in decreasing order. 1110022, 0, -14 Sort 2, -2/5, -17562.749, -6/5 in descending order. 2, -2/5, -6/5, -17562.749 Sort -4, 5, 2, -621, -217, 0 in decreasing order. 5, 2, 0, -4, -217, -621 Sort 2, -470, 1536, 3, -1 in ascending order. -470, -1, 2, 3, 1536 Sort 9, 2, 1, -3, -226 in increasing order. -226, -3, 1, 2, 9 Sort 3, -2, -5, 32, 2, -784 in decreasing order. 32, 3, 2, -2, -5, -784 Sort -125, 112, 1950 in increasing order. -125, 112, 1950 Sort -22, 1, 0, -9, -28, -49 in descending order. 1, 0, -9, -22, -28, -49 Sort -824, 10, 5, -67, 13, 4 in ascending order. -824, -67, 4, 5, 10, 13 Sort 34, -220898, 12 in decreasing order. 34, 12, -220898 Put -32035, 66, 4 in increasing order. -32035, 4, 66 Sort 13, 2, -28735 in decreasing order. 13, 2, -28735 Put 7, -5, -94146, 46 in ascending order. -94146, -5, 7, 46 Put -167204, -1, 0 in descending order. 0, -1, -167204 Sort 2, -2, 97, 80, -60 in ascending order. -60, -2, 2, 80, 97 Sort 12, -400, 1, 0. -400, 0, 1, 12 Sort 1, 33, -231, -1, 6 in ascending order. -231, -1, 1, 6, 33 Sort 4/13, -19/4, 0.59, -2, 81, -4 in decreasing order. 81, 0.59, 4/13, -2, -4, -19/4 Put 157, 359, 1, 30 in decreasing order. 359, 157, 30, 1 Put 54, -4, -9, 4, -3, -48 in decreasing order. 54, 4, -3, -4, -9, -48 Sort -1, -2, 0, 1, -61, 6, 115 in ascending order. -61, -2, -1, 0, 1, 6, 115 Put 131, -36, 2, 4, 42, -4 in decreasing order. 131, 42, 4, 2, -4, -36 Put 3718, -2, -4, 66 in increasing order. -4, -2, 66, 3718 Put 2, 0.2, 1/69, 0.21, 2/53, -2 in decreasing order. 2, 0.21, 0.2, 2/53, 1/69, -2 Put 0.4, 87150, 1, 2 in decreasing order. 87150, 2, 1, 0.4 Sort 48, 4, -16, -2, -69 in increasing order. -69, -16, -2, 4, 48 Sort 0.499, -5/17, 4, 2/7, 5, -1/4 in ascending order. -5/17, -1/4, 2/7, 0.499, 4, 5 Sort 2, 90, 2.095, 1.4 in descending order. 90, 2.095, 2, 1.4 Sort -3/14, 1.1, 4, 0.7452 in decreasing order. 4, 1.1, 0.7452, -3/14 Put -2191, 717, -8, 3, -1 in ascending order. -2191, -8, -1, 3, 717 Sort -141, 202, 34, 1 in increasing order. -141, 1, 34, 202 Sort 0.3, -982, -819/125. -982, -819/125, 0.3 Put 2, -422, -2, -217, 41, 4 in increasing order. -422, -217, -2, 2, 4, 41 Put 5, 4, 77, -3, 17961 in ascending order. -3, 4, 5, 77, 17961 Sort 2, 638009, -2, 21. -2, 2, 21, 638009 Sort -85, -11, -2, 3, -5, 80, 57 in descending order. 80, 57, 3, -2, -5, -11, -85 Sort -4, -12.267, -38. -38, -12.267, -4 Sort -3, 0, -0.2, -51, 2454, -5. -51, -5, -3, -0.2, 0, 2454 Sort -177, -5, -1, -3, -923 in descending order. -1, -3, -5, -177, -923 Put -1, 7, 0, -3566, 5 in increasing order. -3566, -1, 0, 5, 7 Sort -2, -534, 1332, 1, 7, 4 in descending order. 1332, 7, 4, 1, -2, -534 Sort 3/2, 0, -375, 17, 0.3, 14/3. -375, 0, 0.3, 3/2, 14/3, 17 Put 446, 1.2, -4/15, -0.09 in decreasing order. 446, 1.2, -0.09, -4/15 Sort -5, 5, 147, -21, -2 in descending order. 147, 5, -2, -5, -21 Put 1719.36, 4, 3, 4/3 in increasing order. 4/3, 3, 4, 1719.36 Sort -829270, 5, -1 in descending order. 5, -1, -829270 Put -9, 915, -1.4, 2/215 in decreasing order. 915, 2/215, -1.4, -9 Sort -2, 21, -27998, -3, 5 in ascending order. -27998, -3, -2, 5, 21 Put -535.16, -3, 2/5, -39, 3 in descending order. 3, 2/5, -3, -39, -535.16 Sort 9, 6, 4, 5, 14, -10, -4 in descending order. 14, 9, 6, 5, 4, -4, -10 Sort -27/19, 12, 14.802 in increasing order. -27/19, 12, 14.802 Sort 0, -2/7, -3, 31704, 0.7, 0.3 in increasing order. -3, -2/7, 0, 0.3, 0.7, 31704 Sort 384, 8, 1392 in descending order. 1392, 384, 8 Sort -4, -273466, -39 in decreasing order. -4, -39, -273466 Sort -57/41, -2, -0.5, -12/25, -4. -4, -2, -57/41, -0.5, -12/25 Put -51, 2, 29, 3558 in decreasing order. 3558, 29, 2, -51 Sort -2, 204, -255, 19 in descending order. 204, 19, -2, -255 Sort -769.9, -0.4, -0.0513, -1/10 in descending order. -0.0513, -1/10, -0.4, -769.9 Put -4181, -1381, 1 in ascending order. -4181, -1381, 1 Put 12, 50, 5308/31 in ascending order. 12, 50, 5308/31 Put 5, 88, -1, 1, -7312, 8 in decreasing order. 88, 8, 5, 1, -1, -7312 Sort 5, 104, 126, 8, 0 in increasing order. 0, 5, 8, 104, 126 Sort -2/5, -33849932, -0.13 in descending order. -0.13, -2/5, -33849932 Put -2, 4, -26, 16, 0, -1, -19 in ascending order. -26, -19, -2, -1, 0, 4, 16 Put 0.7, 5, -0.2, -0.2289, 0, -59 in ascending order. -59, -0.2289, -0.2, 0, 0.7, 5 Sort 7, 5, 136, -3, 358. -3, 5, 7, 136, 358 Sort 5, -6, -2, -3, 4, 182 in increasing order. -6, -3, -2, 4, 5, 182 Sort -1, 3, -63, 0, 24, 11, 4. -63, -1, 0, 3, 4, 11, 24 Sort -11386, -1370, -8. -11386, -1370, -8 Sort 640, -6, 1050, -18 in decreasing order. 1050, 640, -6, -18 Sort 600, 0, -21.55, -4 in descending order. 600, 0, -4, -21.55 Put 0, -2, 785, 3, 2, 6 in decreasing order. 785, 6, 3, 2, 0, -2 Sort -24, 211/5, -1.161 in descending order. 211/5, -1.161, -24 Sort -1, 13/928, 1/58 in descending order. 1/58, 13/928, -1 Sort -22, -10, 193077, 4 in decreasing order. 193077, 4, -10, -22 Sort 192, 188, 306 in descending order. 306, 192, 188 Put -8, -8.52926, 1/6 in increasing order. -8.52926, -8, 1/6 Put 1, 5, 5034579 in decreasing order. 5034579, 5, 1 Sort -626, 114193, -3 in increasing order. -626, -3, 114193 Put 1, -1/6, 15/4, -1/20, 5 in decreasing order. 5, 15/4, 1, -1/20, -1/6 Put 11.419, 14/3, 0.2 in ascending order. 0.2, 14/3, 11.419 Sort 4, 1806, -19763 in descending order. 1806, 4, -19763 Sort -1, 2, 262339, 14 in decreasing order. 262339, 14, 2, -1 Put 40, 6, 5, 2151, 0 in decreasing order. 2151, 40, 6, 5, 0 Sort 5, 307, 29, -5, 7, -1, 0 in decreasing order. 307, 29, 7, 5, 0, -1, -5 Sort -32.66, -3/7, -5, 57, 14, 1/3 in decreasing order. 57, 14, 1/3, -3/7, -5, -32.66 Put -4, 0, 512, -37 in descending order. 512, 0, -4, -37 Put 80, -1, -4001, 0, 2, 16, -4 in decreasing order. 80, 16, 2, 0, -1, -4, -4001 Sort 5, 13470999, -1 in decreasing order. 13470999, 5, -1 Sort 173145, 2/17, -0.0252 in increasing order. -0.0252, 2/17, 173145 Sort 4, -187693, -433. -187693, -433, 4 Sort -15.1, -16, 5.8, 3, 2/7 in ascending order. -16, -15.1, 2/7, 3, 5.8 Sort -1033, -5, 2, 10, 4, -1, 0. -1033, -5, -1, 0, 2, 4, 10 Put -5, 3, -950, -2, -8, 4, 5 in descending order. 5, 4, 3, -2, -5, -8, -950 Put 1, -200503, 12, 5 in decreasing order. 12, 5, 1, -200503 Sort 63, 8, 0, 4, 2, -3 in decreasing order. 63, 8, 4, 2, 0, -3 Sort -27, 0, 23366, -7 in decreasing order. 23366, 0, -7, -27 Sort 0.24, -1/180, 2/29, 0.6 in descending order. 0.6, 0.24, 2/29, -1/180 Sort 0, -483/6616, -2, 1.1 in decreasing order. 1.1, 0, -483/6616, -2 Put -0.092, 0.03, 279, 3 in ascending
{ "pile_set_name": "DM Mathematics" }
be ((-186)/8)/(1/(-4)). Let p = 267 + a. Calculate the greatest common divisor of i and p. 40 Suppose 27*u - 4474 + 1153 = 0. What is the highest common factor of 656 and u? 41 Let b = 117 + -115. Suppose -a - 92 = 3*k + 85, b*a = -6. Let y = 69 + k. Calculate the greatest common factor of 88 and y. 11 Let f = 4327 - 4174. What is the highest common divisor of 1020 and f? 51 Let q = -227 + 240. Suppose -q*v + 3338 = -718. Calculate the greatest common divisor of v and 24. 24 Suppose -6957 + 7517 = 40*d. Calculate the greatest common divisor of d and 86. 2 Let i be 23 - (0/2 + -1). Suppose 3620 = 1152*u - 1142*u - 5*n, -u + 3*n + 332 = 0. Calculate the greatest common divisor of i and u. 8 Suppose -3*i - 3*q = -q + 110, i = -5*q - 54. Let a be ((3 - 1) + 5)*i/(-17). Suppose -a = -7*n + 21. What is the highest common factor of n and 2? 1 Suppose 3*c - 7 = 23. Suppose a - c*d = -5*d + 402, -4*d = -2*a + 810. Calculate the greatest common factor of 37 and a. 37 Suppose 184*m + 78 = -20*m + 282. Calculate the greatest common factor of m and 12. 1 Suppose -282 + 84 = -j. Suppose -u + 25*u - 880 = -16*u. Calculate the highest common factor of j and u. 22 Let v = 559 - 297. Let t = -121 + 299. Let b = v - t. What is the highest common factor of 126 and b? 42 Let i(q) = 21*q**2 - 571*q - 81. Let t be i(28). Calculate the greatest common divisor of 3002 and t. 79 Suppose 12 = -4*k, 6*k - 7*k + 303 = -3*q. Let p be (-4 - q/18)*3. Suppose 0 = 5*d + 15, 0 = -4*t - d + 6*d + 115. What is the highest common factor of t and p? 5 Let b = 430 + -428. Let v be 1 - (-56)/16*b. Calculate the greatest common divisor of 20 and v. 4 Let g = 4 - -108. Suppose -3*y = -g + 22. What is the greatest common divisor of y and 120? 30 Suppose 4183*p = 4182*p + 5734. Calculate the highest common factor of 235 and p. 47 Let s = 66 + -55. Let d(z) = -15*z**2 + s + 15*z - 35*z - z**3 + 2*z + 2*z. Let w be d(-14). What is the highest common factor of 39 and w? 39 Suppose 0 = 64*b - 59*b - 155. Suppose 5*q + 0*q + b = p, 5*q + 67 = 2*p. Let z(l) = -l + 9. Let s be z(0). Calculate the highest common divisor of s and p. 9 Let c be ((-28)/(-10))/(6*(-12)/(-15480)). Calculate the highest common divisor of c and 28. 14 Let c(p) = 70*p**3 - 13*p**2 + 36*p - 20. Let v be c(2). Calculate the highest common divisor of v and 980. 140 Let f(w) = 7 - 25*w**3 - 2*w + 44*w**3 - 18*w**3 - 14*w**2. Let d be f(14). Let z be (d - -2 - -2)/(-1). Calculate the highest common divisor of 136 and z. 17 Let b = -2301 + 2401. Calculate the highest common factor of b and 150. 50 Let v(f) = -4*f + 3*f + 2*f + 2*f + 42 + 102. Let j be v(-32). Calculate the highest common divisor of 10 and j. 2 Let w(t) = t**2 + 5*t - 56. Let c(j) = -j**3 + 2*j - 12. Let u be c(-3). Let g be w(u). What is the greatest common divisor of g and 14? 14 Suppose -45172 = -44*z + 179624. What is the greatest common divisor of z and 655? 131 Let n = 26 - 22. Let j(f) = -f**3 + 10*f**2 + 48*f - 404. Let v be j(8). What is the highest common factor of v and n? 4 Suppose -219*a + 224301 + 70161 = 579*a. Calculate the highest common factor of a and 108. 9 Let a(d) = d**3 - 23*d**2 + 2*d + 240. Let o be a(23). Calculate the greatest common factor of o and 234. 26 Suppose -13*w - 569 = -1150 - 1174. What is the highest common divisor of 95 and w? 5 Let j(i) = i**3 - 90*i**2 + 51*i + 2260. Let f be j(92). Calculate the greatest common divisor of f and 48. 24 Suppose -512*d + 510*d + 636 = 0. Calculate the highest common divisor of d and 795. 159 Let v(x) = x**2 + 7. Let s be -3*(-1)/3*(-1 - 4). Let q be v(s). Suppose -73 - q = -5*u. What is the highest common factor of 42 and u? 21 Suppose -69 = -3*p + 123. Let a be (0 - 1676/30) + (-10)/75. Let j = a + 64. Calculate the greatest common factor of p and j. 8 Suppose -30 = 3*d + 2*d. Let a(b) = b**2 - 4*b + 3. Let l be a(d). Let n be (16 + 8 + -3)/(3*1). What is the greatest common divisor of n and l? 7 Let j = 9364 - 8145. What is the greatest common factor of 23 and j? 23 Suppose 253*y = 251*y - 6. Let d be (-10)/30 + y/(27/(-129)). What is the greatest common factor of 322 and d? 14 Suppose -70237 - 40627 = -105*c + 23*c. Calculate the greatest common divisor of c and 312. 104 Let b(o) = -56*o + 15. Let x be b(0). Suppose -x*s + 84 = -411. Calculate the highest common factor of 3 and s. 3 Suppose 4 = 4*n - 4. Let l be ((-1 - -29)/2)/n. Suppose 0 = -3*r - 27, -5*w + 14*r + 367 = 16*r. What is the greatest common divisor of w and l? 7 Suppose -20865 = 8*b - 23*b. Suppose 9*i - 3379 = b. What is the highest common divisor of i and 10? 10 Let x = 115735 + -115710. Suppose -2*r + 36 = -3*p, -5*r - p = p - 71. Calculate the greatest common factor of r and x. 5 Let v = 13353 - 8124. What is the highest common divisor of v and 9? 9 Let q be (-29)/(((-148)/(-210) + 52/(-390))/(-4)). Let r be 1 + -7*(-8)/2. What is the highest common divisor of q and r? 29 Suppose 4626 = -2*q - 7*q. Let z = q + 609. Calculate the highest common divisor of z and 15. 5 Let z = 1324 - 1264. Suppose -5*u + 523 = 103. What is the greatest common divisor of u and z? 12 Suppose -8*g + 10 = -22. Suppose 0 = 2*d + 4*y - 47 + 1, -g*d - 5*y = -98. What is the highest common factor of 36 and d? 9 Let l be 40*(-15 + 105/6). Calculate the greatest common divisor of l and 90. 10 Let n = -34 + 112. Let k be (-1412)/(-12) + (-24)/9 + 2. What is the highest common factor of k and n? 39 Let m be (-1 - -33)*((-19250)/(-56) + 3). Calculate the highest common factor of m and 438. 146 Suppose 0 = -2*t + 3*o + 2619, -t + 527 = -o - 780. Calculate the highest common factor of t and 168. 42 Suppose -17*g + 16 = -1. Let a be (g/(-3))/((-19)/1026). What is the greatest common divisor of a and 54? 18 Let g be ((12 - 10)/6)/((-3)/654)*-51. What is the highest common divisor of g and 68? 34 Let b be (-440)/(-1848) - (-1628)/42. Suppose -3*w + 4*w - 663 = 0. Calculate the greatest common divisor of w and b. 39 Suppose 0*l = -5*l. Let w = -7625 - -7638. Suppose -3*r + w*r - 80 = l. Calculate the highest common factor of r and 40. 8 Let i(f) = -f**3 - 35*f**2 + 17*f + 288. Let j be i(-36). What is the highest common divisor of 1836 and j? 108 Suppose -10*d = -1294 + 274. Let s be (18/(-8))/(6/(-16)). Calculate the greatest common factor of s and d. 6 Suppose -7067*i - 2157 = -7081*i + 811. Calculate the highest common divisor of 477 and i. 53 Suppose w - 4*h = 24 + 52, -4*h + 428 = 5*w. Calculate the greatest common factor of 6426 and w. 42 Let r = 2 - -4. Suppose -4*l = i - 137, l - 3*l - 149 = -i. Let j = i - 133. What is the highest common factor of r and j? 6 Let k(j) = -2*j - 15. Let s be k(-32). Let n be 59246/110 - (-8)/20. What is the greatest common factor of n and s? 49 Let k be 2/(-6) + 1430/15. Let b be ((2205/175)/63)/(0 + (-1)/(-285)). What is the highest common factor of b and k? 19 Let m be (-4 + (6 - 0))/((-3)/(-336)). Calculate the highest common divisor of m and 322. 14 Suppose -39704 = -92*n + 33896. Calculate the highest common divisor of n and 30. 10 Suppose -477*g = -472*g - 100. Let l be (-2)/16 + 7818/(-48). Let t = 303 + l. What is the greatest common factor of g and t? 20 Suppose 3*f - 15345 = 3*c, 4*f - 91*c = -89*c + 20464. Calculate the highest common divisor of f and 119. 119 Suppose -2736 = 34*c - 38*c. Suppose 3*l - 192 = 3*f - c, 5*f - 4*l - 823 = 0. Let q = f - 69. Calculate the greatest common divisor of 14 and q. 14 Let v be (-12)/(-26) + 924/364. Suppose -v*y - 6*h = -2*h - 5030, -5*h + 5032 = 3*y. What is the greatest common factor of 93 and y? 93 Let s = -1158 + 2193. Calculate the greatest common divisor of s and 184. 23 Suppose 3*d - 4*p - 14 = 0, 5*p - 194 + 204 = 0. Calculate the highest common divisor of d and 125. 1 Let o(i) = -3*i**3 - 66*i**2 + i + 25. Let p be o(-22). Suppose -5*w = -p*c - 667, -5*w - 7*c + 4*c = -673. Calculate the highest common factor of w and 201. 67 Suppose -1030 = 19*f - 1714. Suppose -3*n - 4*s = -1288, n + 0*n = 4*s + 440. Calculate the highest common divisor of n and f. 36 Let y = -40 - -42. Suppose -2*i + 392 = -y*c + 14, -3*i = -c - 573. Calculate the highest common divisor of 24 and i. 24 Let t(j) = 2*j**3 + 5*j**2 + 6*j + 3. Let b be t(-2). Let o be (2/b)/(6 + 93/(-15
{ "pile_set_name": "DM Mathematics" }
= 6, 4*h + 10 = 5*b. Suppose j - b*j + 6 = 0. What is the units digit of j? 6 Let c(k) = -5*k + 13. What is the hundreds digit of c(-30)? 1 Let v be 12*((-20)/(-8))/5. Suppose -i - v = -28. What is the units digit of i? 2 Let w = 109 - 105. Suppose -s + 633 = w*r - 6*s, r = -5*s + 152. What is the tens digit of r? 5 Suppose -2070 = -2*q - q + 3*h, 2760 = 4*q - 2*h. What is the units digit of q? 0 Let z = 912 + -644. What is the hundreds digit of z? 2 Let n = -37 + 37. What is the hundreds digit of (2 - n - 55)/((-2)/4)? 1 Let q(v) = -v + 3. Let k be q(-4). Let r = k - 7. Suppose r*a - 2*a = -34. What is the tens digit of a? 1 Let a(j) = -27*j**2 - 7*j + 9. Let d(l) = -52*l**2 - 13*l + 18. Let w(o) = 11*a(o) - 6*d(o). What is the hundreds digit of w(4)? 2 Let k = -11 + 16. Let v = k - 3. Suppose 3*a - v*n - 50 = -0*a, a = -5*n - 6. What is the units digit of a? 4 Let x(a) = -a - 1. Let h(r) = -r - 1. Let q(o) = 2*h(o) - 3*x(o). Let f be q(4). Let k = 23 + f. What is the tens digit of k? 2 Suppose 813 + 7069 = 7*r. What is the tens digit of r? 2 Let p(f) = f**3 - 12*f**2 - 37*f + 30. What is the hundreds digit of p(15)? 1 Let v(q) = -53*q + 36. Suppose -13 = 6*x + 11. What is the tens digit of v(x)? 4 Let y(f) = 159*f - 286. What is the thousands digit of y(9)? 1 Let m be 4/(0 - (2 - 3)). Let w = 8 - m. What is the tens digit of 80/3 - w/6? 2 Let y(r) = -r**3 - 7*r**2 - 2*r + 27. Let v be y(-5). What is the units digit of (v*1)/((4/60)/(-1))? 5 Let u be (94 - 0) + -5 + 7. Suppose 3*t - 6*c = -c + u, -4*t + c = -128. What is the tens digit of t? 3 Let q be 1 + 6 + (1 - 3). Suppose 2*d = 4*c - q - 11, -2*c + 20 = -4*d. What is the tens digit of 11/((-1)/(d/4))? 1 Let o be 5 - -2*(-3)/(-6). Suppose 0 = q + 2*q - o. Suppose 3*u - 3*s = -5*s + 69, -4*u - q*s = -92. What is the tens digit of u? 2 What is the hundreds digit of (1 - 0)/(3 + 13024/(-4344))? 5 Suppose 2*a - 4*o + 21 + 9 = 0, -a - 27 = -5*o. Let h be (-42)/(-3)*(-2)/a. Suppose -h*v - 11 + 87 = 0. What is the units digit of v? 9 Let n(m) = m**2 - 8*m + 10. Let i be n(7). Suppose -i*p + 21 = p + t, 0 = -t + 5. Suppose p*u - 62 = 2*u. What is the tens digit of u? 3 Let o = 20 - 22. What is the tens digit of 332/12 - o/(-3)? 2 Let o = -66 + 58. Let q(b) = -16*b + 32. What is the hundreds digit of q(o)? 1 Suppose -2354 - 18086 = -28*l. What is the hundreds digit of l? 7 Let p(f) = -f**2 - 18*f + 5. Let s be p(-18). Suppose -s*k + 278 = 3*y, 2*y + 0*k - 181 = k. What is the tens digit of y? 9 Let q be 1914/10 - (-12)/20. Suppose -249 = -5*a - 4*p, -5*a = -a - 4*p - q. What is the units digit of a? 9 Let j(h) = -3*h + 13. Let z(n) = 9*n. Let v be z(4). Suppose 0*b + v = -6*b. What is the tens digit of j(b)? 3 Let t = 54 + -51. Let h(s) = 26*s + 2. What is the tens digit of h(t)? 8 Suppose r = 2 + 3. Suppose 0 = 4*h - z - 417, r*h + 4*z = 427 + 110. What is the units digit of h? 5 Suppose x = k, x + 15 = 4*x + 2*k. What is the units digit of 1 + x/6*18? 0 Let p = 169 + 3983. What is the tens digit of p? 5 Suppose -3*j = 4*q + 55 + 17, 5*q + j = -101. Let y = q - -25. What is the units digit of (3/y)/((-9)/(-648))? 4 Suppose 3*f = -x + 18, -2*x + 0 = 2*f - 20. Suppose -4*k + 5*t = -14, 5*k - 3 = 2*t + x. Suppose 3 - k = r, 16 = 2*q - r. What is the units digit of q? 9 Suppose 4*v - 832 = 2*q, -2*q = -6*q + 8. What is the hundreds digit of v? 2 Let f be (-174)/21 - 6/(-21). Let x = f + -98. Let v = 169 + x. What is the units digit of v? 3 Let f(c) = 2*c**2 - 11*c - 295. What is the hundreds digit of f(20)? 2 Suppose -3*p + 5 - 17 = 0. Let v be 118/10 + 3/15. What is the tens digit of 37 - (v/(-3))/p? 3 Let y(n) = -n**2 - 12*n + 8. What is the units digit of y(-12)? 8 What is the tens digit of 681/(9*3/9)? 2 Let r(o) = 620*o**2 + 32*o - 93. What is the hundreds digit of r(3)? 5 Suppose -1 = k - 0. What is the units digit of ((-2)/(-4))/(k/(-102))? 1 Suppose -58 = -2*x - 0*o - 2*o, 0 = 2*x - 4*o - 34. Let s be (16/5)/(5/x). Suppose -k - s = -2*k. What is the units digit of k? 6 What is the hundreds digit of (-790)/(-4) - 2/4? 1 Let i(o) = 10*o**2 - 88*o + 31. What is the tens digit of i(23)? 9 Let i = 18 - 3. Suppose -3*v = -i - 3. What is the tens digit of 44/12*(v - 0)? 2 Let i = -11 + 11. Suppose i = -3*j + 238 + 176. What is the units digit of j? 8 Let l be (-1)/((-6)/39 + (-7)/39). Suppose -h + 5*b + 117 = 0, -h = -l*b + 4*b - 87. What is the tens digit of h? 9 Suppose -90 + 554 = f. What is the hundreds digit of f? 4 Let o = -2690 - -4111. What is the thousands digit of o? 1 Let d be ((-138)/8 - -4)*-8. Let o = d + -36. What is the tens digit of o? 7 Suppose 8 = 5*u + 3*i, 4 = 4*u - 0*u + 3*i. Suppose -o + 2*l = -l - 70, u*l = -o + 70. What is the units digit of o? 0 Let q = 17 + 28. Suppose 3*n - q = -0*n. Let d = -12 + n. What is the units digit of d? 3 Let u be ((-1)/(-3))/(3/9). What is the units digit of u/(1/(3 - (0 + -2)))? 5 Let k be -7*(2 + 2*-4). Let l = k - 36. What is the units digit of l? 6 Let w(t) be the first derivative of 3*t**2/2 + 5*t - 2. Let m = -16 + 21. What is the tens digit of w(m)? 2 Let g be (0 - 3) + -25 + 1. Let x = 29 + g. Suppose 124 = 2*s + x*t, -3*s + s - 5*t = -124. What is the units digit of s? 2 Let b be -47*(48/6 + 1). Let k = b + 599. What is the tens digit of k? 7 Suppose 3*k - g + 3*g - 686 = 0, 2*k - 3*g - 440 = 0. Suppose r = 3*s - 0*r - 355, -2*s - 2*r + k = 0. What is the tens digit of s? 1 Let q(u) = -4 + 4 - 2 + 7 - 4*u - 8*u**2 - u**3. What is the units digit of q(-8)? 7 Let c(a) = -a**3 - 3*a**2 + 11*a - 10. What is the tens digit of c(-9)? 7 Let f be 11/(22/8) - -22*26. Suppose 11*j = -j + f. What is the units digit of j? 8 Let q(o) = -o**3 + 7*o**2 + o - 10. Let v be q(7). Let s be (-3)/v*21/3. Suppose 0 = 2*g - s - 11. What is the units digit of g? 9 Let d be 184/(-10) + 4/10. Let f = -16 - d. Suppose -f*q - 84 = -5*q. What is the tens digit of q? 2 Suppose 2*g - 3*g = 2*q - 2, 8 = -q - 5*g. Suppose z - 5*c = 69, 4*z = -0*z - q*c + 320. What is the tens digit of z? 7 Let a(m) = -m**2 - 10*m + 6. Let r be a(-10). Suppose -4*c = 5*i + 5 + 10, 3*i = -3*c - r. What is the tens digit of (-4228)/(-98) + 1/i? 4 Suppose 2*n - 88 = 122. Suppose -g = u - n, -17 = -5*u + 3. What is the tens digit of g? 0 Suppose 2*q = -5*u + 51, -2*u = -2*q - 2*q - 6. Suppose 6*x = u*x - 12. Suppose -4*w + 2*w = 2*v - 54, -113 = -x*w + v. What is the units digit of w? 8 Let h(s) = s**3 + 2*s - 2. Let m be h(2). Let w be 6/m - 477/(-5). Suppose -2*i = -5*y - 3*i + 76, 5*y - 4*i - w = 0. What is the units digit of y? 6 Suppose -2*a + 6 = a. Suppose 0 = -3*y - 0 + 6. Suppose 3*x + 4*c = 66, -a*c = y*x - 25 - 17. What is the tens digit of x? 1 Let m(o) = -o**3 + 4*o**2 + o + 7. Let f be m(5). Let b = 203 - 180. Let i = b + f. What is the tens digit of i? 1 Suppose -4*q - 9*f + 10*f = -4825, 1230 = q - 5*f. What is the thousands digit of q? 1 Let j(n) = -149*n - 40. What is the units digit of j(-8)? 2 Let y = 231 + 2552. What is the tens digit of y? 8 Let c = -17 + 27. Let b = c + -4. What is the tens digit of 345/10*8/b? 4 Let q(g) = -g**3 + 8*g**2 + 13*g - 9 - 18*g**2 + 2*g**2 - 5*g**2. Let l be (1 - (-19)/5 - 2)*-5. What is the units digit of q(l)? 5 Let a(q) = -24*q + 1. Let m be a(-2). Suppose m*u - 178 = 48*u. What is the hundreds digit of u? 1 Let h(n) = n**3 - 11*n**2 - 22*n + 20. What is the tens digit of h(15)? 9 What is the units digit of 9/(-189)*-9 + 106696/28? 1 Suppose 8*x + 326 = 9*x. What is the hundreds digit of x? 3 Let k(r) = 2*r**2 + 12*r - 48. What is the thousands digit of k(21)? 1 Let u be (15/(-4))/((-9)/24). Let o = 13 - u. Suppose -x - 16 = -o*x. What is the units digit of x? 8 Let r(v) be the third derivative of -v**6/120 + 13*v**5/60 + 4*v**4/3 + 3*v**3 - 37*v**2. What is the units digit of r(15)? 8 Suppose 20*x - 8533 = 3067. What is the tens digit of x? 8 Let i = -743 + 2430. What is the tens digit of i? 8 Let h be -1 + 3 + 0 + 1. Suppose 5*z + 12 = -13, -3*z = -3*i + 36. Suppose -2*a = -i*r + h*r - 80, -3*a - 3*r = -102. What is the tens digit of a? 3 Let w = -1569 - -2580. What is the tens digit of w? 1 Let y be (-60)/18*(-15)/2. Suppose 4*h + y = -63. Let b = 39 + h. What is the units digit of b? 7 Let b(k) = -401 + 401 - 32*k. What is th
{ "pile_set_name": "DM Mathematics" }
+ 11 = 4*a for a. -4 Solve -5*y - 17*l - 39 + 0 = 0, -3*y + 4*l = -5 for y. -1 Solve 14 = -4*x + 2*n, 801*x - 4 = 806*x + 2*n for x. -2 Solve -5*s + 3*t = 11, -3*t - 113928 = -2*s - 113945 for s. 2 Solve 2119 - 2113 = 3*b, 3*b - 24 = -2*y for y. 9 Solve -196*m + 102*m + 90*m - 32 = 4*t, -4*t - 38 = 6*m for m. -3 Solve 4*n - 4284*c + 12 = -4286*c, 2*c + 3 = 5*n for n. -1 Solve 823*m = 3*z - 2*z + 818*m + 22, -4*z = 2*m for z. -2 Solve 38*m - 37*m + 4*b = -16, -5*b = 5*m + 5 for m. 4 Solve p + 195 = -3*y + 254, -5*y - 5*p + 105 = 0 for y. 19 Solve 5*o = -3*q - 25, q = -645*o + 647*o - 1 for o. -2 Solve -25*r = -24*r - 4*m, 0 = -5*m for r. 0 Solve -3*m - 2*x = 31, -23*x + 20*x + 47 = -4*m for m. -11 Solve -22*l = -u - 17*l + 24, -u - 3*l = 16 for u. -1 Solve -5*s + 9 = -d - 2, 0 = -5*d - 4*s + 32 for d. 4 Solve -5570*y - 12 = -4*j - 5576*y, y = -2*j + 6 for j. 3 Solve 2*v - 16 = 5*f, 93*v = 2*f + 98*v - 11 for f. -2 Solve -131*p - 8 = -v - 136*p, 0 = -v + 4*p - 10 for v. -2 Solve 0 = -5*c - 3*y - 25, 1224*y + 25 = -5*c + 1225*y for c. -5 Solve 31*y - 30 = -5*n + 36*y, 0 = -5*y - 35 for n. -1 Solve 5*y + 19*x = 24*x + 50, 2*y + 7 = -x for y. 1 Solve -4*l - 4 = 0, 19*j - 15*j + 2*l = -50 for j. -12 Solve -9 = 2*v - 465*o + 464*o, v + 5*o = 100 for v. 5 Solve -5*m = -2*y - m - 14, -4*m = -6*y - 34 for y. -5 Solve 21 = -7*l - c, -10*l + 2*c = 17*l - 27*l - 3*c for l. -3 Solve -5*t - 25 = 3*l, -1679*t - 5*l = -1677*t + 10 for t. -5 Solve -2*q - 12 = 13*c - 9*c, 12*c + 24 = 0 for q. -2 Solve 22 = -5*b + j, 17 = -b - 1112*j + 1108*j for b. -5 Solve 0 = 2*h - 5*b + 22, 2895*h - 2*b = 2898*h - 24 for h. 4 Solve 2*q = -2*z - 86 + 106, q = 2*z - 23 for z. 11 Solve -7*p = -12*p + k, 2*k + 12 = -2*p for p. -1 Solve -7*c + 21 = 225*k - 230*k, -5*c = 4*k + 38 for c. -2 Solve 4*p = 5*l + 52, -232*l + 250*l + 64 = -p for p. 8 Solve 11 = 5*r - 3*c + 15, 2*c - 7 = -r for r. 1 Solve 2*d - 3643*f + 3646*f = 4, 5*d + 2*f = -12 for d. -4 Solve 5*s + 73*j - 26 = 77*j, 0 = -s - 3*j - 10 for s. 2 Solve 5*t = 8*y - 5*y - 13, y + 9 = -5*t for y. 1 Solve 0 = m - 7, -67*h + 15 = -65*h + m for h. 4 Solve 3*n = 10*q - 71, 100*q - 5*n = 95*q + 60 for q. 5 Solve -47 = -6*y - 2*t - 31, -5*y - t + 14 = 0 for y. 3 Solve 47*c - 5*t + 4 = 45*c, 3*c = 4*t - 6 for c. -2 Solve 12 = 4*r + 5*n, -n + 12 = 4*r - 5*n for r. 3 Solve -2 = 5*g + 4*a, -3*a + 190 = -5*g + 174 for g. -2 Solve 442*h - 10 = 4*w + 439*h, 0 = h - 2 for w. -1 Solve 5*o + f + 4 = 0, -5*f = 144*o - 140*o - 1 for o. -1 Solve -2 = 2*c, 170*a - 13 = 174*a + 5*c for a. -2 Solve 4390*o = 4395*o - 3*t + 13, -3*o + 4*t = -1 for o. -5 Solve 5*q - 20 = p, -3*p - 85 = -2*q - 90 for p. 5 Solve 0 = 2*c - c - 17 + 22, h - 37 = -12*c - 100 for h. -3 Solve -3*i + 5*t + 197 - 202 = 0, 1 = 4*i + t for i. 0 Solve -4*x - 48 + 35 = -3*g, 8*x - 4*g + 20 = 0 for x. -1 Solve 4*f + 5*a = -19, -a - 10652 + 10648 = f for f. -1 Solve 2*t - 3*l = -11, -24*l = 5*t - 28*l + 17 for t. -1 Solve -11 = r, 2*r = 2*z - 4*z - 2*z - 34 for z. -3 Solve 0 = 5*y + 2*p + 15, -y - 39*p + 34*p = 3 for y. -3 Solve 3 = 5*u + 2*c, 0 = 5*u + 3*c + c - 11 for u. -1 Solve 0 = -t - 4*g + 40, -37*t + 2*g - 118 - 52 = 0 for t. -4 Solve r = -3, -26*k - 32*k + 82*k + r = 25*k for k. -3 Solve -39*m + 38*m - 7 = u, -2*m - 5*u - 20 = 0 for m. -5 Solve 631*b = 2*v + 627*b + 10, 4*b - 22 = -v - 15 for v. -1 Solve 2*o = 4*g + 10, 5*g + 72*o - 69*o = -18 for g. -3 Solve 5*n - 4*h = 97 - 74, -3*n - 39 = 2*h for n. -5 Solve -98*w - 10 = -103*w - 5*s, -2*s + 7 = 3*w for w. 3 Solve -6*p = 3*s - 61 + 25, -6 = -s for p. 3 Solve -4*c + 4*w - 26 = -c, -4*w + 20 = 0 for c. -2 Solve -5 = 8*t - y, 4*t + 388*y - 383*y = -19 for t. -1 Solve -3 = -3*m, 104*q - 100*q + 28*m - 20 = 0 for q. -2 Solve 140*j = 136*j - 4*h + 20, 4*j - 5*h = -34 for j. -1 Solve -5*y + 25 = 2*f + 9, -2*f = -4*y + 20 for f. -2 Solve 5*o = 3*b - 25, -b - 78*o + 73*o - 25 = 0 for b. 0 Solve 0 = -2*l + 2*o + 143 - 153, -4 = 2*l - 5*o for l. -7 Solve -2*b - 84*t = -87*t + 23, 5*t = b + 29 for b. -4 Solve -252*h - 2*f - 8 = -251*h, -4*f = 18*h + 16 for h. 0 Solve 0 = 3*d + 4*b + 12, 4*d + 10 + 6 = -2*b for d. -4 Solve -6*u - 2510*r + 32 = -2505*r, 2*u + r = 8 for u. 2 Solve -4*y - 5*c = -4*c, 4*y + y - 64*c = -69*c + 15 for y. -1 Solve -1744*f - 4*v - 84 = -1748*f, 22 = 2*f + 2*v for f. 16 Solve 4*u = -2*k + 4, -25522*u + 25519*u = 2*k - 1 for u. 3 Solve 53*a = 92*a - 2*k - 0*k + 244, 0 = -2*a - 3*k + 3 for a. -6 Solve 0 = 4*p - n - 11, -2*p - 5*n - 217 = -206 for p. 2 Solve u + 4*l = 7, -4*u - l = -1 + 3 for u. -1 Solve 3*h = c + 11 - 19, 4*c + 7 = -h for h. -3 Solve 20 = 5*f + 4*w, 513*f - 517*f - 5 = -w for f. 0 Solve -d + 12*k - 8*k = 0, 0 = 25*d + 4*k - 104 for d. 4 Solve 68 = -13*h + 434*c - 435*c, 3*h - c + 12 = 0 for h. -5 Solve -4*k = -8, 22886*k + 12 = -2*d + 22889*k for d. -3 Solve -w + 16 = 3*y + 36, 3*y = -2*w - 19 for w. 1 Solve 0 = t - 5*o + 24, 0 = -2*t + 4*o - 84 + 66 for t. 1 Solve 0 = 2*s - 5*q - 100, -3*s - 4188*q - 75 = -4183*q for s. 5 Solve 108*u - 105*u + 8*v = 6*v - 13, -2*u = -v + 11 for u. -5 Solve -9592 = -r - 2*t - 9595, 3*t = -2*t - 5 for r. -1 Solve 4*x - 14 = 13*o - 12*o, -207*x + 204*x = 8*o + 7 for o. -2 Solve 0 = x + 2*f, -9*x = -8*x - 2*f + 4 for x. -2 Solve -5*u - 43 = 3*b - 45, -74*b + 4*u + 304 = 0 for b. 4 Solve -13*x - d = 70, d - 24 + 14 = -3*x + 6*d for x. -5 Solve 5*j + 2 = 2*w, 20 = -5*j + 3*j + 4*w for j. 2 Solve -o - 3 + 6 = 0, -81 = -33*m + 11*m - 5*o for m. 3 Solve t - 2*d = 0, 92*t - 3*d + 6 = 89*t for t. -4 Solve -4*t - 4*f = 47434 - 47430, t = -2*f - 5 for t. 3 Solve -14*k = -3*l + 55, -22*k + 23*k + 30 = -5*l for k. -5 Solve 18*m + 23 = 11*i + 20*m, -3*i + 2*m = -19 for i. 3 Solve 18 = -t + 3*f, -4*t + 2*f - 18 = 4 for t. -3 Solve -4*m = -4*a + 341 - 273, -m + 3*a - 9 = 0 for m. -21 Solve 0 = 461*i - 460*i + 5*r - 24, 2*r - 9 = -i for i. -1 Solve -5*v = 11*d - 38, -2103*d - 18 = -3*v - 2108*d for v. 1 Solve -2*j + 4*a = -12, 2004*j - 5*a = 2000*j + 21 for j. 4 Solve -113*x + 109*x - 2*o + 28 = 0, 0 = -5*x - 3*o + 34 for x. 8 Solve 108*h + 28 = -2*d + 106*h, -2*h = -4*d - 26 for d. -9 Solve -4*j + 129*n = 125*n - 36, 3*n + 15 = 0 for j. 4 Solve 5*c = -2*z - 1, -6 = -4*z + 4*c - 22 for z. -3 Solve -33 = -5*d - 4*q, -31*q = -4*d - 35*q + 28 for d. 5 Solve 1006 = -2*d - 2*c + 1000, d + 20*c = -60 for d. 0 Solve -4*w + 46 = -2*i, 256*i = 257*i - 5 for w. 14 Solve 5*t + 8 = -u, -t = -1510*u + 1506*u + 10 for u. 2 Solve 284 = -t - 3*k + 280, 12 = -3*t - 2*k for t. -4 Solve 38*d = 35*d, 0 = -3*k + 5*d + 48 for k. 16 Solve 16*l - 13*l = 3*j, 2*j - 3*l = 7*j - 40 for j. 5 Solve 4*m - 5*a + 67 = 53, 5*m + 5*a = 5 for m. -1 Solve i = -231*y + 233*y - 6, -2*y + 5*i + 22 = 0 for y. 1 Solve p = 0, s + 0*s = -4*s + 2*p - 0 + 5 for s. 1 Solve -4*j = -20, 0 = -5*b - 4*j + 168 - 138 for b. 2 Solve -58*p = -55*p + 2*y - 5, -5*y + 44 = -3*p for p. -3 Solve 3*j - 46*y + 13154 = 13041, 4*j + 20 = -4*y for j. -7 Solve -4*j = 2*u - 14, 755*j + u = 763*j - 3 for j. 1 Solve 2*r - 12 = 99*c - 104*c, 3*r = c - 16 for r. -4 Solve -3 = -3*o - 5*y, 358*o + 3*y + 1 = 359*o for o. 1 Solve -3*h - 15 = -k, 74*h - 72*h + 5*k = 7 for h. -4 Solve -5*r - 4*s = -32, -2*s = 863*r - 862*r - 10 for r. 4 Solve 385*o + 3 = 381*o - i, o + 5*i = -34 for o. 1 Solve -8 = -3*d - 2, 0 = 4*f + 13*d - 54 for f. 7 Solve -n = 2*h + 2, 162 = n - 2*h + 156 for n. 2 Solve -12 = 3*m - 26*d + 24*d - 33*d, -12 = 3*m + 3*d for m. -4 Solve 35*q = k + 42*q - 9, 2*q = 4*k - 6 for k. 2 Solve 0 = 2*o - 2*p - 8, -2*o - 20*p = -44*p - 96 for o. 0 Solve -5*u - w = 53, u - w + 23 = 10 for u. -11 Solve 4*s = 9*w - 22, s - 66 + 75 = 4*w for s. -1 Solve 4*r + 5947 = h + 5936, -3*h = 3*r - 3 for h. 3 Solve 167*w - 169*w = -25*d + 36, -2*w + 4*d = -6 for w. 7 Solve -5*g = 3*y + 58, 5*g + 4*y - 365 = -434 for g. -5 Solve -4*b + 14 = 2*f, 4*b = f - 0*b - 1 for f. 5 Solve r + 9*w = 12*w + 7, -5*r = -3*w + 1 for r. -2 Solve 4*d + 11 = s, -175 + 123 = 4*s + 16*d for s. -1 Solve 13 = -2*a + 3*t, 4*t - 54 = -127*a + 148*a for a. -2 Solve -4*w - 28 = 2*d, -w + 4 = -2*d - 3*d for w. -6 Solve -114 = 7*n + 9*n - d, 0 = 4*d - 11 + 3 for n. -7 Solve -3899*i = 5*f - f - 3898*i - 25, f - 7*i + 1 = 0 for f. 6 Solve 3*s = 5*g - 32, -2*g - 522*s + 525*s + 20 = 0
{ "pile_set_name": "DM Mathematics" }
4 and x? 16 Let d be (0 - -1)/(1/3). Suppose 5*x = -d*b + 19 + 24, -5*b + 5*x + 85 = 0. Suppose -1623*y + 1616*y + 336 = 0. What is the greatest common divisor of b and y? 16 Let a(j) = -j + 6. Let d be a(6). Let o be (-22)/2*-1 - d. Calculate the greatest common factor of o and 11. 11 Let f(p) = p + 4. Let n be f(-4). Suppose n = 6*d - d + 100. Let u be ((-4)/8)/(1/d). What is the greatest common factor of u and 20? 10 Let w be ((-1)/(-2))/((-3)/(-96)). Let l be (-100)/(-28) - (-8)/(-14). Suppose -l*s + 5*s - 4 = 0. What is the greatest common divisor of w and s? 2 Suppose -6 = -5*r - 56. Let v = 22 + r. What is the highest common factor of v and 96? 12 Let f(n) = 0*n + 8*n**2 + 0*n - n. Let a be f(-1). Let k be 0 - (1 + -3 + (-12 - -13)). Calculate the greatest common divisor of a and k. 1 Let w = 143 + -113. Let f(t) = 0 - t**3 + 1 + 2*t**2 + 2*t - 8*t**3. Let s be f(-1). What is the greatest common factor of s and w? 10 Let s = 106 + -104. Let k = 7 + -5. Calculate the greatest common factor of s and k. 2 Let a be (24/(-5))/((-8)/140). Let d be a/10*(-90)/(-12). Let f = 66 + -24. Calculate the greatest common factor of f and d. 21 Let h(w) = w - 2. Let r be h(0). Let q = 13 - r. Let p = 27 - q. Calculate the highest common factor of 132 and p. 12 Suppose 2*q - 138 = -4*i, -5*i = q - 161 - 13. Calculate the highest common divisor of 105 and i. 35 Let a(b) = 193*b - 1. Let h be a(-1). Let o = -29 - h. What is the greatest common factor of 15 and o? 15 Suppose -1 = -b + 1. Suppose b = g + 4. Let u be (3/g)/(3/(-54)). What is the greatest common factor of 3 and u? 3 Let n = 3 - 3. Suppose n*t - t + 35 = 0. Let y(z) = -2*z - 3. Let v be y(-5). Calculate the highest common factor of v and t. 7 Let y be (-2)/4*2*-8. Let z = 462 - 454. What is the greatest common divisor of y and z? 8 Let z be 6/9*-1*9. Let f(o) = -o. Let v be f(z). Let b(u) = u**3 - 7*u**2 - 9*u + 10. Let m be b(8). Calculate the greatest common factor of m and v. 2 Suppose 3*z = 108 + 18. What is the highest common divisor of z and 63? 21 Let d(r) = 2*r**2 - 5*r + 4. Let z(i) = -i - 5. Let j be z(-8). Let s be d(j). What is the highest common factor of 77 and s? 7 Let m = -141 + 356. Suppose 2*f - 6*f + 4 = 0, 5*f = 4*b - m. Calculate the greatest common factor of b and 5. 5 Let f be (1/(-5) + -1)*-15. Suppose 5*s + 433 = -2*c, -4*s - 61 = -5*c + 259. Let o = 5 - s. Calculate the highest common factor of o and f. 18 Let v = 43 + -76. Let t = -14 - v. Suppose -4*i + 432 - 128 = 0. What is the greatest common divisor of t and i? 19 Let h = 1 + 25. Suppose 5*k - 348 = 302. Calculate the greatest common factor of k and h. 26 Let f(j) be the third derivative of -j**4/24 - j**3/6 + j**2. Let l be f(-7). Calculate the highest common divisor of l and 15. 3 Let k(y) = -y**3 - 12*y**2 - 11*y + 9. Let l be k(-11). What is the greatest common factor of 9 and l? 9 Suppose c = -3*c. Suppose c = -5*k + 41 + 39. Calculate the greatest common divisor of k and 40. 8 Suppose -q = -20*l + 16*l + 500, l = -3*q + 138. What is the highest common divisor of l and 36? 18 Suppose 3*v = i + 64, 2*v - 3*i - 112 = -3*v. Calculate the greatest common divisor of v and 50. 10 Let m = -16 - -25. Let g(t) = -t**2 - 3*t - 2. Let o be g(-2). Suppose o = 5*x + 55 - 235. Calculate the highest common factor of x and m. 9 Let a(z) = -14*z - 10. Let s be a(-4). Calculate the greatest common factor of 115 and s. 23 Let r be 19/(-1)*-1 + -1. Suppose l - 3*t = 8 + 25, -4*t = 4*l - 100. What is the highest common factor of l and r? 9 Let h be 3 - 0 - (-2 + 0 - 6). Calculate the highest common divisor of 88 and h. 11 Let f = -60 + 41. Let s be 3/(-3)*(-3 - 68). Let v = s + f. Calculate the highest common factor of v and 13. 13 Let x be (-3 - (-50)/15)*27. Calculate the highest common divisor of 63 and x. 9 Let m be 12/3*18/4. Suppose 5*f - 11 - m = 2*h, -2*f + 5*h + 20 = 0. Calculate the greatest common factor of 2 and f. 1 Let s be -6*((-63)/6)/1. Calculate the highest common factor of s and 9. 9 Let j(r) = -r**2 + 12*r + 15. Let h = -28 - -40. Let i be j(h). What is the highest common factor of i and 15? 15 Suppose -3*x + 20 + 37 = 3*o, -2*o = 10. Calculate the greatest common factor of 3 and x. 3 Let u be (-17)/3 - 6/(-9). Let z(n) = -n + 1. Let s be z(u). Suppose -4*a + 46 + 84 = 5*f, a + 35 = f. What is the greatest common divisor of f and s? 6 Let v(w) = -w. Let q be v(-5). Suppose 0 = -2*k + k + q. Calculate the greatest common divisor of k and 10. 5 Let t = 1 - 1. Suppose 5*j - 4*j - 6 = t. Let c(z) = 2*z**2 + 3*z + 3. Let u be c(-3). Calculate the greatest common factor of u and j. 6 Let b(o) = o + 5. Let r(m) = m + 5. Let h(f) = -4*b(f) + 5*r(f). Let w be h(4). Suppose 0 = p - 24 - 30. Calculate the greatest common divisor of w and p. 9 Suppose -i - 2*t + 207 = 21, -4*i + 708 = -4*t. What is the highest common factor of 20 and i? 20 Suppose -4*r - 66 = -18. Let a be r/8*8/(-3). Suppose -3*p - 5*w + 2 + 11 = 0, 0 = -a*p + w + 25. What is the highest common factor of p and 3? 3 Let i(q) = 4*q. Let c be i(1). Suppose -5*y + 3*u + 4 + 10 = 0, -3*y + 4 = -4*u. Calculate the greatest common factor of y and c. 4 Let n = 6 + -4. Suppose 4 = -h + n*h. Suppose 72 = h*o - 32. What is the highest common factor of 13 and o? 13 Suppose 498*s - 493*s - 135 = 0. Suppose z - 54 = -0*z. What is the highest common factor of z and s? 27 Let k be 0/(-1 - 0) - -15. Let u = k + -25. Let z = u - -22. What is the highest common factor of z and 12? 12 Let c = -1 - 6. Suppose 3*g + 18 = -33. Let z = c - g. Calculate the greatest common divisor of z and 4. 2 Let t be ((-20)/50)/(179/90 - 2). Calculate the highest common factor of 24 and t. 12 Suppose -13 = 5*k - 3. Let v = 14 - k. Calculate the greatest common factor of v and 48. 16 Let l(m) = -2*m - 6. Let q(c) = c - 10. Let w be q(-5). Let v be l(w). Calculate the greatest common divisor of v and 8. 8 Let l be (10/4)/(-5)*-2. Let p = 13 - l. What is the greatest common divisor of 84 and p? 12 Let f = -32 + 82. What is the highest common factor of 75 and f? 25 Let l(z) = 36*z - 75. Let r be l(5). What is the highest common divisor of r and 35? 35 Suppose 3*o = -2*u + 11, 0 = 4*u - o - 4*o - 33. Calculate the greatest common divisor of 7 and u. 7 Let b(a) = a - 2. Let k be b(18). Calculate the highest common factor of 16 and k. 16 Let s = -79 - -83. What is the highest common divisor of s and 44? 4 Suppose -7*s + 12*s = 20. Calculate the highest common factor of 16 and s. 4 Let x = -19 + 23. Suppose 8 = x*u - 20. Calculate the greatest common divisor of u and 49. 7 Suppose 4*q - 5*i + 10 = 0, 3*i + 0*i = 6. Let c = q + 4. What is the greatest common divisor of c and 28? 4 Let r = -31 + 45. Let j be 2/(-9) - 736/9. Let h = -47 - j. What is the highest common factor of h and r? 7 Suppose -2*c = -10, -6 = -2*r + 3*r - 2*c. Suppose 1 = -r*d - 11. Let q be ((-4)/6)/(d/72). Calculate the highest common divisor of q and 144. 16 Suppose 17*c - 14*c - 51 = 0. What is the highest common divisor of c and 51? 17 Let u = -233 - -46. Let x = -82 - u. What is the greatest common factor of x and 15? 15 Suppose -10 = 3*b - 2*b. Let j = b - -12. Calculate the highest common divisor of 14 and j. 2 Suppose -3*k = 4*w + 1, 4*w - 10 = -w. Let a be 78 + -3*2/k. Calculate the highest common factor of 16 and a. 16 Let f(w) = w**3 + 8*w**2 + 7*w + 10. Let x be f(-7). Let b = 19 - x. Suppose 3*r - 9 - b = 0. What is the greatest common divisor of 42 and r? 6 Suppose -3*b + 0 = 9. Let y be 8/((-8 - -2)/b). Let q be (-102)/(-12) - 2/y. What is the greatest common divisor of 56 and q? 8 Suppose -2*w - 17 = d - 143, -3*w = -3*d - 189. What is the greatest common factor of w and 18? 9 Suppose -1 = 5*c - 3*s - 9, 4*c - 5*s + 4 = 0. Let h be (-4)/(-6) - (-68)/6. Calculate the highest common divisor of c and h. 4 Let l(r) = 36*r**2. Suppose 6 - 3 = 3*j. Let u be l(j). What is the highest common divisor of 9 and u? 9 Let j be (-2 - -14) + (12 - 7). Calculate the greatest common divisor of j and 119. 17 Suppose 2*f - 82 = -4*n, -n = f - 9 - 34. Calculate the highest common divisor of 18 and f. 9 Let t be 4*4 - (-12)/(-6). Suppose -i + t = 2*b, -17 = 4*b + i - 41. Let p = -2 + b. Calculate the highest common factor of p and
{ "pile_set_name": "DM Mathematics" }
- 3. Calculate the greatest common divisor of t and 15. 3 Let t(i) = -i**3 + 5*i**2 + 3*i + 1. Let z be t(5). Let a = 38 - z. Calculate the highest common divisor of a and 2. 2 Let r be (1/3)/(10/30). Calculate the greatest common divisor of r and 3. 1 Suppose -4*r + 3 = -2*w - 43, -3*r + 3*w = -27. Calculate the highest common divisor of r and 14. 14 Suppose -6*t + 40 = -32. Let a = -14 - -20. What is the greatest common factor of t and a? 6 Let x = 5 + 29. Calculate the greatest common divisor of 136 and x. 34 Suppose -2*t - 2*y = -9 - 7, 52 = 3*t - 4*y. What is the greatest common divisor of 300 and t? 12 Let u be (0 + 2 - 5)/((-13)/(-65)). Suppose 2*l + 60 = -2*g, l - 3*l + 3*g = 45. Let p = u - l. Calculate the greatest common factor of p and 6. 6 Suppose -5*x - 2 = 48. Let k be (-1 - x) + 48/(-16). What is the highest common divisor of 18 and k? 6 Suppose 0 = -6*u + 35 + 1. Suppose -2*z + 40 = h, -3*z - 70 = -6*z - 4*h. Calculate the greatest common divisor of z and u. 6 Suppose 2*l - 745 + 13 = 0. Let a = -179 + l. Calculate the greatest common factor of 17 and a. 17 Suppose 4*k = -a - 4 - 0, 0 = 4*k - 4*a + 4. Let q = k - -4. What is the highest common divisor of 12 and q? 3 Suppose 0*j - 4*f = -2*j + 28, f = 5*j - 25. Suppose 5*q - 203 - 122 = -4*o, j*q = -2*o + 158. What is the greatest common divisor of 34 and o? 17 Suppose -2*t + 12 - 8 = 0. Calculate the greatest common factor of 14 and t. 2 Let s be 5 - -3*(-6)/9. Let b(q) = 3*q + 0 - 3*q**2 + 5*q**2 - s. Let d be b(-3). Calculate the greatest common divisor of 24 and d. 6 Suppose -4*d = -2*o + 25 + 21, -5*o + 4*d = -139. Let z = o - 19. What is the greatest common divisor of z and 18? 6 Suppose 3 = -m + 27. Let x = m - 17. Let v = x - 1. What is the highest common factor of 54 and v? 6 Suppose -19 = -v + 1. Suppose -6*t + 129 = -51. Calculate the greatest common divisor of v and t. 10 Let a be 548/7 + (-4)/14. Suppose a = 4*q - 174. Let t be 8/(-28) + 65/7. What is the highest common factor of t and q? 9 Suppose -20 = -5*f + 4*f. Let m(h) = h**3 - h**2 - 4*h + 4. Let d be m(6). What is the greatest common divisor of f and d? 20 Let t be 1 + 74 + (3 - 1). Let i(o) = o**3 - 6*o**2 + 5*o + 11. Let a be i(5). Calculate the highest common divisor of a and t. 11 Let v be -2*(-6)/4 - 1. Suppose -a - 4 = 3*a, 193 = 3*i + v*a. What is the highest common factor of i and 13? 13 Suppose 0 = -2*k + 6*k - 88. Suppose h + 4*h - 25 = 0. Suppose 0 = h*n - 4*s - 185, 8*s - 3*s - 8 = -n. Calculate the highest common divisor of k and n. 11 Let v = -3 - -5. Suppose 6*w - 60 = w + 5*l, 3*l = v*w - 29. Calculate the highest common factor of 63 and w. 7 Suppose 0 = 2*r - 8 - 0. Suppose 2*n + r = 0, -5*v + 105 = 3*n - 64. What is the greatest common factor of v and 5? 5 Suppose 3*y = 5*b - 19, -6*b + 5*y + 25 = -b. Let t be -3*(-6)/(-9) + b. Suppose -22 = -t*r - r. What is the highest common divisor of r and 55? 11 Let s be (-1 - -1 - 1) + 3. Let l be (768/(-28))/(1/(-7)). Suppose 2*v - l = -s*v. What is the highest common factor of 6 and v? 6 Let d = -36 + 47. What is the highest common divisor of d and 44? 11 Let h be 3*(1 + (-46)/(-3)). Suppose 0 = -3*f + 16 + 5. Calculate the greatest common factor of f and h. 7 Let a be (-3)/(-15) + (-544)/(-5). Suppose -2*w = 2 - 8. Suppose w*l - 29 = -2*o + 26, a = 4*o + 5*l. What is the highest common factor of o and 65? 13 Let i(d) = 5*d**2 + 4*d. Let t be i(6). Suppose -k + 0*k - 2*f = -64, -3*k + t = 3*f. Calculate the highest common divisor of k and 8. 8 Let y(v) = -v**3 + 6*v**2 + 3*v - 8. Let g = 4 - 0. Suppose 9*d - 30 = g*d. Let l be y(d). What is the highest common factor of 15 and l? 5 Suppose x + 4*i = -3*x + 8, 2*i - 22 = 4*x. Let h be 52/(0 + x + 5). Let t = -15 + 80. What is the highest common factor of t and h? 13 Suppose 3*r = 6 + 36. What is the highest common divisor of r and 70? 14 Let b be (-18)/(-54) + (-196)/(-6). Let o = -16 + b. Calculate the highest common factor of 51 and o. 17 Let f be 5/(75/(-48))*-15. Suppose 2*t = -0*t + f. Calculate the highest common factor of t and 6. 6 Let h = -50 + 36. Let d be 75/7 + (-4)/h. Let p be 78 - 4/2 - -1. What is the highest common divisor of d and p? 11 Let i be 5/((-10)/(-4)) + 22. Calculate the greatest common divisor of 3 and i. 3 Let a(j) = -j**2 - 9*j - 11. Let c be a(-7). What is the highest common factor of 27 and c? 3 Let r(s) = 2*s**2 + 2*s - 3. Let q be r(-4). Calculate the greatest common divisor of q and 42. 21 Suppose -26 - 2 = -2*g. Calculate the greatest common divisor of 2 and g. 2 Let x be (-8)/6 - 190/(-57). Let t(m) = -2*m + 2. Let g be t(-2). Calculate the greatest common divisor of g and x. 2 Let v(n) = 11*n + 10*n + 5*n + 0*n. Let i be v(2). Let p be ((-52)/6)/((-2)/3). What is the highest common factor of p and i? 13 Suppose -15*o + 9*o + 510 = 0. What is the greatest common divisor of o and 17? 17 Let i be ((-162)/15)/(2/(-15)). Let l = i - 3. Calculate the highest common divisor of 26 and l. 26 Suppose 2*l + 0*g = -2*g + 24, 0 = -3*g - 12. Calculate the highest common factor of l and 256. 16 Let i(a) = -3*a**3 - 2*a**2 + 1. Let k(w) = -w**2 - 10*w + 10. Let u be k(-11). Let o be i(u). Calculate the highest common divisor of 10 and o. 2 Suppose 0 = -3*n - 3*o + 93, o - 83 = -0*n - 3*n. What is the greatest common factor of 13 and n? 13 Let l be 0 - (4 - (39 + 3)). What is the highest common factor of l and 95? 19 Let k be 73/(-5) + (-6)/15. Let g be 4/6 - (-76)/(-6). Let y be (g/10)/(3/k). What is the highest common divisor of 6 and y? 6 Let u be 8 + (-5 - -3) + -2. Suppose -u*t + 131 = 3. Calculate the highest common divisor of t and 8. 8 Suppose -8*l + 46 = -10. Let v(x) = 2*x**2 + 3*x + 1. Let a be v(-4). Calculate the highest common divisor of a and l. 7 Let y = -54 - -61. What is the greatest common factor of y and 7? 7 Suppose 4*x + 0 = -3*n + 72, -3*x - 5*n = -54. What is the greatest common divisor of 6 and x? 6 Let v be ((0/(-1))/(-2))/(-2). Suppose -c + 6*c - 20 = v. Suppose -c*j + 136 = 4*q, -3*q - 4 = -q. Calculate the highest common factor of 12 and j. 12 Suppose 3*d = -j + 60, 3*d + 3*j - 100 = -2*d. What is the greatest common divisor of d and 50? 10 Suppose 8*a - 160 = 3*a. What is the highest common divisor of a and 192? 32 Suppose 0 = -4*g - 7*g + 297. Calculate the highest common factor of g and 216. 27 Let c be (1 - (1 + 0)) + 2. Suppose t + c = 7. Calculate the greatest common divisor of t and 5. 5 Suppose -4*w + 45 = -19. Suppose -6 = -x + 2*y + 102, 4*x = -3*y + 476. Let v = x - 68. Calculate the highest common divisor of v and w. 16 Let x(n) be the third derivative of n**4/24 + n**3/3 + n**2. Let o be x(3). Suppose o*p - 190 - 160 = 0. What is the highest common divisor of p and 10? 10 Suppose -41 = -4*f + 4*z + 19, 9 = f - 3*z. Suppose 0*v = -2*v + f. Let u = 3 + v. Calculate the highest common factor of u and 6. 6 Suppose 6*m - m - 10 = 0. Suppose 10*a = 7*a. Let f be m + (-1 - a)*-5. What is the highest common divisor of 21 and f? 7 Let u = -97 + 142. Let i(w) be the first derivative of w**3/3 + w**2/2 + 9*w + 1. Let l be i(0). Calculate the highest common divisor of u and l. 9 Let d = -3 - -10. Suppose d*u = 9*u - 120. Let v = 51 + -27. What is the highest common factor of v and u? 12 Suppose 4*q = 11*q - 1890. Calculate the highest common factor of 30 and q. 30 Suppose 3*i - 3*l - 207 = 0, 0*l = 3*l - 3. Let z = 100 - i. Suppose z = -0*j + 5*j. Calculate the greatest common factor of 18 and j. 6 Let n be (4 - 4)*(-2)/(-4). Suppose -3*i + 77 + 211 = n. Calculate the greatest common factor of i and 12. 12 Suppose 0 = 3*s + 2 - 11. Suppose 0 = -s*q + 6*q - 72. Suppose 3*n - n + 2*m = 120, 2*n + 5*m = 120. Calculate the greatest common divisor of q and n. 12 Let n(a) = 84*a**3 + a**2 - 1. Let c be n(1). What is the highest common divisor of 12 and c? 12 Let y = -23 + 33. Let c be (2/2)/(y/110). What is the greatest common divisor of c and 121? 11 Let m be (10 + -3)*1 - 2. Suppose m*r = w + 8, -5*w - 3*r + 6 + 66 = 0. What is the greatest common divisor of w and 132? 12 Suppose -100 = -4*l - 0*l - 4*x, 4*x - 72 = -3*l. Suppose 2*u - 23 = 3*a - 67, -3*a - 2*u + l = 0. Calculate the highest common factor of 96 and a. 12 Let z be 3/12*-2 - (-578)/4.
{ "pile_set_name": "DM Mathematics" }
0*a**2 Let l(b) = 2*b**2 + b - 2. Let d be l(-2). Let t(a) = -a**3 + a + 2. Let h be t(0). What is the third derivative of -1 + 3*f**4 - d*f**4 - h*f**2 + 1 wrt f? -24*f Let i(b) be the third derivative of -2*b**7/105 - 7*b**3/3 + 7*b**2. Differentiate i(m) with respect to m. -16*m**3 Let v(s) = 2*s**2 - 1. Let d(g) = g**3 + 3*g**2 - 2. Let a(p) = 2*d(p) - 3*v(p). What is the first derivative of a(k) wrt k? 6*k**2 Let d(w) be the second derivative of -w**5/20 - w**4/24 - w**2 + 3*w. Let l(i) be the first derivative of d(i). Find the second derivative of l(r) wrt r. -6 Find the third derivative of 110*x**2 + 0*x**6 - 59*x**2 + 8*x**6 wrt x. 960*x**3 Let f = 1 - -1. Suppose -2*t = f*t - 12. What is the second derivative of 3*v + v - 3*v**5 - t*v wrt v? -60*v**3 What is the derivative of -10*y**2 + 0*y**2 - 3 + 3*y**2 + 2*y**2 wrt y? -10*y Differentiate -2*b + 5 - 3*b + 0 + 3*b wrt b. -2 What is the second derivative of s + 7*s**3 + 10*s**3 - 21*s**3 wrt s? -24*s Let u(n) = 6*n**2 - 4*n + 3. Let c(y) = 6*y**2 - 5*y + 4. Let s(t) = -4*c(t) + 5*u(t). Differentiate s(z) with respect to z. 12*z Let p(f) be the first derivative of f**4/2 + f - 1. Differentiate p(l) wrt l. 6*l**2 Let r(z) = 1. Let p(w) = 3*w**2 + 6. Let f(u) = p(u) - 4*r(u). Find the first derivative of f(i) wrt i. 6*i Let p(z) = -4*z**2 + 3*z - 7. Let y(i) = 2*i**2 - i + 4. Let m(d) = -4*p(d) - 7*y(d). Find the second derivative of m(a) wrt a. 4 Let w(j) = -j + 11. Let t be w(9). Let l(q) be the first derivative of q - 2 - 1/2*q**4 + 0*q**t + 0*q**3. Differentiate l(a) with respect to a. -6*a**2 Let x(f) be the second derivative of f**7/210 - f**3/6 - 3*f**2/2 - 5*f. Let j(c) be the first derivative of x(c). Differentiate j(s) wrt s. 4*s**3 Find the first derivative of -5*d**2 - 1 + 0 + d**2 wrt d. -8*d Let j(l) be the second derivative of -21*l**5/20 + 20*l**3/3 - 30*l. Find the second derivative of j(k) wrt k. -126*k Let m(g) be the third derivative of g**6/36 + g**4/12 - 7*g**3/6 - 3*g**2. Let q(o) be the first derivative of m(o). Differentiate q(l) wrt l. 20*l Let q(r) be the second derivative of r**8/168 + r**5/20 - 3*r**2/2 - 4*r. Let t(x) be the first derivative of q(x). What is the third derivative of t(m) wrt m? 120*m**2 Let s(g) be the first derivative of 4*g**6/3 - 2*g**2 + 12. What is the second derivative of s(p) wrt p? 160*p**3 Let t be (-46)/(-8) + (-6)/(-24). Let x = -3 + t. Find the first derivative of -3 + x*w**2 + 3 + 1 wrt w. 6*w Suppose -5*c = -c. Let w(m) = -m**2 + m + 2. Let x be w(c). Find the third derivative of -u**3 + 2*u**2 - x*u**2 - u**2 wrt u. -6 Let h be -3 + (-2 + 2)/2. Let d be (h + 3 + 1)*2. What is the derivative of 3*o**3 + 4*o**2 + 1 - 2*o**2 - 2*o**d wrt o? 9*o**2 Let k(s) = -3*s + 1. Let y(n) = -n - 1. Let p(v) = v. Let i(x) = 4*p(x) + y(x). Let b(t) = 6*i(t) + 7*k(t). What is the first derivative of b(w) wrt w? -3 Let j(o) be the first derivative of 1/12*o**4 + 0*o**2 + 3 - 2*o + 1/6*o**3. Let u(r) be the first derivative of j(r). Find the second derivative of u(f) wrt f. 2 Let y be (-9)/(-4) - 2/8. Let w be -2 + y + 2 - -2. Differentiate -3*g**2 - 2 + 3 - w wrt g. -6*g Let b(o) = 2*o - 6. Let i be b(4). Suppose -v = i*j - 2*v, j - 4*v = -7. What is the derivative of d**3 + j - 3*d**3 + 0 wrt d? -6*d**2 Let x(f) be the second derivative of 2*f**6/15 + 5*f**3/6 + 2*f. What is the second derivative of x(n) wrt n? 48*n**2 Let t(l) be the second derivative of l**5/4 - 5*l**3/3 + 11*l. What is the second derivative of t(f) wrt f? 30*f Let i(x) be the second derivative of x**6/30 - x**4/6 + 3*x. What is the third derivative of i(g) wrt g? 24*g Let d(o) = o. Let g(h) = -2*h + 1. Let a(v) = 5*d(v) + 3*g(v). Let s be a(3). What is the third derivative of 2*f**3 + 0*f - f**3 + s*f + 2*f**2 wrt f? 6 Find the second derivative of 3*g**2 + 5*g + 40 + 7*g - 40 wrt g. 6 Let t(r) be the second derivative of 0*r**4 - 3*r - 7/2*r**2 + 1/5*r**6 + 0*r**5 + 0*r**3 + 0. Find the first derivative of t(i) wrt i. 24*i**3 Let g = -3 + 3. Suppose g*q + 4*q = 0, -2*q = r - 3. Differentiate -4 - r*d + 0*d + 2 - 1 wrt d. -3 Let c = 19 + -16. Find the first derivative of -10 + 5*k**3 + 6*k**3 - c*k**3 - 2*k**3 wrt k. 18*k**2 Let m(v) = -12*v**3 - 4*v**2 - 10. Let d(t) = t**3 + t**2 - 1. Let y(a) = -4*d(a) - m(a). What is the first derivative of y(i) wrt i? 24*i**2 Let w be 162/21 + 4/14. Find the second derivative of 2 - 3*f**5 - w - 7*f + 6 wrt f. -60*f**3 Let x(k) = 28*k**4 - 6*k**2 - 6*k + 5. Let y(m) = m**4 - m**2 - m. Let o(q) = -x(q) + 6*y(q). What is the derivative of o(t) wrt t? -88*t**3 Let p(u) be the second derivative of -u**9/5040 + u**7/840 + u**4/6 + 3*u. Let q(x) be the third derivative of p(x). Find the third derivative of q(h) wrt h. -72*h Suppose 0 = 3*m - 4*n - 14, 3*m + 12 = 5*m - 4*n. Find the third derivative of 0*q**3 - 4*q**5 + 0*q**3 + 7*q**5 - 2*q**m wrt q. 180*q**2 What is the third derivative of -n**3 + n**2 + 26*n**3 + 0*n**2 + 2*n**2 wrt n? 150 Let u(j) = -4*j - 2. Let d be u(-6). Find the third derivative of -d*h**4 + 22*h**4 + 4*h**5 + 2*h**2 wrt h. 240*h**2 Let d be 14/4 + 1/2. Find the third derivative of -2*t**6 + 12*t**4 - 3*t**2 + 0*t**2 - 12*t**d wrt t. -240*t**3 Let r(j) = j**2 - 3*j + 1. Let t be r(4). Suppose 4*o - 2*o - 6 = 3*y, 3 = o + t*y. What is the first derivative of o*x**2 - 1 + x**2 - 3 wrt x? 8*x Differentiate -3 + 7 - 5 - 6*n**3 - n**3 wrt n. -21*n**2 Let t(c) = -7*c**3 - 16*c**2 - 6*c - 38. Let b(f) = -f**3 - f**2 - f + 1. Let i(v) = -6*b(v) + t(v). Differentiate i(z) wrt z. -3*z**2 - 20*z Let d be 4 + -2 + -2 + 10. Suppose 3*k - d - 5 = 0. What is the second derivative of -3*r + 5*r - r**k + 0*r**5 wrt r? -20*r**3 Let t(b) = -b**2 + 8*b - 4. Let q be t(7). Find the first derivative of q + 2 + x**4 - 7 wrt x. 4*x**3 Suppose 0 = m - 8. Let g = -6 + m. What is the third derivative of 6*h**g - h**2 - 4*h**2 + 3*h**5 wrt h? 180*h**2 What is the second derivative of -3 + 3 - 28*c**4 + 12*c + 6*c**4 wrt c? -264*c**2 Differentiate -14 + 5*z**4 - z**4 + 7*z**4 + z**4 with respect to z. 48*z**3 Let d(t) = -t + 1. Let v(r) = 2*r**2 - 17*r + 6. Let f(k) = 6*d(k) - v(k). What is the second derivative of f(y) wrt y? -4 Let s = 90 - -14. What is the first derivative of -104*i + 7*i**3 + 5 + s*i wrt i? 21*i**2 Let x(y) be the second derivative of 2*y**6/15 - 10*y**2 + 17*y. What is the first derivative of x(g) wrt g? 16*g**3 Find the second derivative of 0*m**3 - 25*m + 0*m + 2*m**3 - 16*m**2 - 12*m**2 wrt m. 12*m - 56 Let f(v) = -v**2 + 8*v - 5. Let t be f(6). Let o = 11 - t. What is the second derivative of s**5 - s + 2*s**5 + s**o - s**4 wrt s? 60*s**3 Let o(i) be the third derivative of 0*i - 1/12*i**4 + 0*i**5 - 4*i**2 + 0 - 1/112*i**8 + 0*i**7 + 0*i**6 + 0*i**3. What is the second derivative of o(d) wrt d? -60*d**3 What is the second derivative of -d**3 - 3*d**3 + 3*d**3 - 12*d**3 + 3*d wrt d? -78*d Let a = -7 + 16. What is the third derivative of -6*u**2 - a*u**5 + 23 - 23 wrt u? -540*u**2 Let g(h) = -h**3 + 12*h**2 + 2*h - 15. Let p be g(12). What is the derivative of 0 + c**4 + 2 - p*c**4 - 1 wrt c? -32*c**3 Let j(a) be the first derivative of a**5/5 - a**3/3 + 2. What is the third derivative of j(k) wrt k? 24*k Find the second derivative of 27*g - 5*g - 12*g**4 - 9*g wrt g. -144*g**2 Let g(b) = 8*b**6 - b**2 - 5*b. Let m(f) = -7*f**6 + 2*f**2 + 4*f. Let x(y) = 4*g(y) + 5*m(y). What is the third derivative of x(n) wrt n? -360*n**3 Differentiate 3*i + 27*i + 2 + 5*i + 19*i with respect to i. 54 Find the second derivative of -6*n**4 - 9*n - 2*n**4 + 2*n wrt n. -96*n**2 Let b(j) = -3*j**3 - 4*j**2 - 4*j - 14. Let p(x) = x**2 + x + 1. Let n(r) = b(r) + 4*p(r). What is the derivative of n(k) wrt k? -9*k**2 Suppose t = 2 - 6. Let m(q) = -q**4 - q - 1. Let c(u) = 2*u + 0*u + 3*u**4 + 0*u**4 + 4. Let b(g) = t*m(g) - c(g). What is the second derivative of b(o) wrt o? 12*o**2 Let y(a) be the first derivative of 4*a**4 - 2*a**3 - 9. What is the third derivative of y(i) wrt i? 96 Let j = -12 - -6. Let a = 9 + j. Find the second derivative of a*r - 4*r**4 + 0*r**4 - r + 3*r**4 wrt r. -12*r**2 Let j(p) = 3*p**4 - 3*p**3 - 3*p**2 - 4*p. Let d(r) = -3*r**4 + 4*r**3 + 4*r**2 + 5*r. Let o(s) = 3*d(s) + 4*j(s). What is the second derivative o
{ "pile_set_name": "DM Mathematics" }
jvkiiffiivkikvl. Give prob of picking 2 v and 1 i. 3/91 Four letters picked without replacement from {q: 8, s: 6, w: 1}. Give prob of picking 3 s and 1 q. 32/273 Four letters picked without replacement from {h: 4, c: 7}. What is prob of picking 1 h and 3 c? 14/33 Calculate prob of picking 2 i when two letters picked without replacement from ikkkikkkiikikkikkk. 5/51 Three letters picked without replacement from {j: 2, d: 1, m: 11, o: 1, z: 1}. What is prob of picking 1 z, 1 o, and 1 m? 11/560 Two letters picked without replacement from {c: 14, e: 2, n: 1, q: 2, g: 1}. What is prob of picking 1 g and 1 e? 1/95 Three letters picked without replacement from bbqqbbbqbbqqqbbq. What is prob of picking 3 b? 3/20 Three letters picked without replacement from {w: 2, p: 1, q: 3, x: 6, n: 2}. Give prob of picking 2 w and 1 x. 3/182 Two letters picked without replacement from hjhjjjjhjjjhjjjjjjj. What is prob of picking 2 h? 2/57 Calculate prob of picking 2 z and 1 l when three letters picked without replacement from lqzqqgzglgulgq. 3/364 Two letters picked without replacement from ucusuucccuc. Give prob of picking 1 u and 1 s. 1/11 Three letters picked without replacement from {d: 5, n: 1, b: 3, m: 3}. What is prob of picking 2 b and 1 n? 3/220 Three letters picked without replacement from {y: 7, t: 5, c: 6, f: 1}. What is prob of picking 1 c and 2 y? 42/323 What is prob of picking 1 s and 1 g when two letters picked without replacement from sgttgtgggqtt? 5/66 Two letters picked without replacement from qxxjzbbk. Give prob of picking 1 x and 1 q. 1/14 What is prob of picking 3 k when three letters picked without replacement from rrkgggkmgjjk? 1/220 Two letters picked without replacement from ddzb. Give prob of picking 1 b and 1 d. 1/3 Calculate prob of picking 1 j and 1 g when two letters picked without replacement from gggdjgggggggddgg. 1/10 Three letters picked without replacement from zekaaemj. Give prob of picking 1 j, 1 m, and 1 e. 1/28 What is prob of picking 1 h and 2 q when three letters picked without replacement from eeeqqejejjeqejjjhe? 1/272 Calculate prob of picking 2 b and 2 z when four letters picked without replacement from {b: 6, z: 12}. 11/34 What is prob of picking 1 t and 1 x when two letters picked without replacement from {s: 1, b: 1, x: 3, t: 1, i: 1}? 1/7 What is prob of picking 1 r, 1 c, and 2 g when four letters picked without replacement from ggggcrvlvrrrgcvgcvu? 15/323 Four letters picked without replacement from mneenttnnmnnmettxn. Give prob of picking 2 n, 1 m, and 1 x. 7/340 Four letters picked without replacement from {i: 1, s: 9, t: 1, a: 6}. Give prob of picking 2 a, 1 s, and 1 i. 27/476 Four letters picked without replacement from {p: 5, i: 9}. Give prob of picking 2 p and 2 i. 360/1001 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 1, w: 1, o: 1, r: 1, g: 1}. 1/10 Calculate prob of picking 3 w and 1 v when four letters picked without replacement from wwvwwwwvwwvwww. 45/91 Two letters picked without replacement from {c: 3, g: 3}. What is prob of picking 2 g? 1/5 Calculate prob of picking 2 r and 1 a when three letters picked without replacement from {r: 4, k: 5, q: 3, a: 1, s: 5}. 1/136 What is prob of picking 4 z when four letters picked without replacement from zsszszsszsszzszs? 1/52 Four letters picked without replacement from {h: 4, k: 1, a: 2, l: 6}. Give prob of picking 2 h and 2 l. 18/143 Two letters picked without replacement from kyykxkkkds. Give prob of picking 1 k and 1 y. 2/9 What is prob of picking 2 r and 2 f when four letters picked without replacement from nrnfnnrffn? 1/70 What is prob of picking 2 e, 1 s, and 1 j when four letters picked without replacement from eeejsersess? 4/33 Three letters picked without replacement from {v: 6, o: 3, g: 1, h: 4}. Give prob of picking 2 h and 1 g. 3/182 Four letters picked without replacement from {l: 2, i: 1, m: 1, f: 2, d: 1}. What is prob of picking 1 f, 1 m, 1 d, and 1 l? 4/35 Four letters picked without replacement from {j: 17, p: 1}. What is prob of picking 3 j and 1 p? 2/9 What is prob of picking 2 h when two letters picked without replacement from hhhhhghhhhhhhhh? 13/15 Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, n: 1, j: 1, u: 2}. 1/15 Three letters picked without replacement from sskskkssskkk. What is prob of picking 2 s and 1 k? 9/22 What is prob of picking 4 a when four letters picked without replacement from aavavavaaaaaaa? 30/91 Four letters picked without replacement from {p: 3, l: 5, b: 1}. Give prob of picking 1 l and 3 p. 5/126 Three letters picked without replacement from {m: 1, r: 5, p: 11, o: 2}. What is prob of picking 3 p? 55/323 Three letters picked without replacement from fbffffufffuffufff. Give prob of picking 2 f and 1 b. 39/340 Three letters picked without replacement from {d: 1, q: 14}. What is prob of picking 2 q and 1 d? 1/5 Calculate prob of picking 3 o when three letters picked without replacement from ohohhaoohhhohooooo. 5/34 Four letters picked without replacement from fofvoyfvvvo. What is prob of picking 2 f and 2 o? 3/110 Four letters picked without replacement from {g: 2, f: 3, l: 7, b: 1, h: 1, y: 3}. What is prob of picking 1 g, 1 l, 1 y, and 1 h? 3/170 Three letters picked without replacement from {h: 1, c: 1, z: 2, o: 2, y: 1, a: 1}. Give prob of picking 1 y, 1 o, and 1 z. 1/14 Two letters picked without replacement from {l: 4, s: 3}. Give prob of picking 2 s. 1/7 What is prob of picking 4 k when four letters picked without replacement from nknqnnkknkffnnnkqff? 5/3876 Calculate prob of picking 1 h, 1 l, and 2 b when four letters picked without replacement from llhlbwwhlwbwllllh. 6/595 Four letters picked without replacement from {e: 10, q: 9}. What is prob of picking 2 q and 2 e? 135/323 What is prob of picking 1 q, 1 r, 1 e, and 1 g when four letters picked without replacement from rgqrggegmgrgg? 21/715 Calculate prob of picking 3 c when three letters picked without replacement from pplcpccpcpccpcccc. 3/17 Calculate prob of picking 1 a and 3 s when four letters picked without replacement from ssasassssasssa. 480/1001 Four letters picked without replacement from vkvkvcvf. What is prob of picking 1 c and 3 k? 0 Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {a: 3, z: 2}. 3/5 Calculate prob of picking 2 o when two letters picked without replacement from llololo. 1/7 What is prob of picking 1 m and 1 u when two letters picked without replacement from gmgqqgglgmqqlu? 2/91 Four letters picked without replacement from {z: 1, b: 1, c: 2, o: 1}. Give prob of picking 1 b, 1 z, 1 c, and 1 o. 2/5 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {n: 2, i: 1, f: 3, v: 3, u: 1, w: 1}. 3/55 Two letters picked without replacement from shhzhssshhsss. What is prob of picking 1 h and 1 z? 5/78 What is prob of picking 1 z, 1 d, and 2 c when four letters picked without replacement from {z: 7, c: 5, w: 1, d: 1}? 10/143 Three letters picked without replacement from annbfnbnff. What is prob of picking 1 a and 2 b? 1/120 Calculate prob of picking 1 q, 1 m, 1 t, and 1 k when four letters picked without replacement from qkmdt. 1/5 Calculate prob of picking 1 a and 2 p when three letters picked without replacement from appf. 1/4 Three letters picked without replacement from {u: 1, y: 2, l: 2, x: 1}. What is prob of picking 1 u, 1 x, and 1 y? 1/10 Four letters picked without replacement from {q: 3, b: 12}. What is prob of picking 2 q and 2 b? 66/455 Calculate prob of picking 3 k when three letters picked without replacement from {b: 6, k: 4}. 1/30 Three letters picked without replacement from kmkmmwkkkekewec. What is prob of picking 1 k and 2 e? 18/455 Two letters picked without replacement from wwuuwuuwwwuuw. Give prob of picking 2 w. 7/26 What is prob of picking 3 u when three letters picked without replacement from {o: 13, u: 5}? 5/408 What is prob of picking 2 i when two letters picked without replacement from {d: 2, i: 2}? 1/6 Four letters picked without replacement from tteqtevqetvetqtqts. Give prob of picking 2 q, 1 e, and 1 s. 2/255 Calculate prob of picking 3 j when three letters
{ "pile_set_name": "DM Mathematics" }
. 9 What is the remainder when 6027 is divided by 1205? 2 What is the remainder when 285334 is divided by 110? 104 Calculate the remainder when 23355 is divided by 4653. 90 What is the remainder when 55063 is divided by 52? 47 What is the remainder when 3795 is divided by 1253? 36 What is the remainder when 4196 is divided by 45? 11 What is the remainder when 8300 is divided by 919? 29 Calculate the remainder when 64906 is divided by 16173. 214 Calculate the remainder when 6114 is divided by 79. 31 What is the remainder when 14428 is divided by 114? 64 What is the remainder when 116688 is divided by 3? 0 Calculate the remainder when 14188 is divided by 66. 64 Calculate the remainder when 2192 is divided by 182. 8 What is the remainder when 19458 is divided by 1767? 21 What is the remainder when 1029401 is divided by 1835? 1801 Calculate the remainder when 10812 is divided by 4861. 1090 Calculate the remainder when 3043 is divided by 119. 68 What is the remainder when 31581 is divided by 16? 13 What is the remainder when 56825 is divided by 902? 901 What is the remainder when 4233 is divided by 169? 8 Calculate the remainder when 551058 is divided by 469. 452 What is the remainder when 1122367 is divided by 109? 103 Calculate the remainder when 76971 is divided by 3207. 3 Calculate the remainder when 12677 is divided by 363. 335 Calculate the remainder when 47997 is divided by 150. 147 Calculate the remainder when 30460 is divided by 247. 79 Calculate the remainder when 6610 is divided by 236. 2 What is the remainder when 822 is divided by 134? 18 What is the remainder when 1322373 is divided by 12? 9 What is the remainder when 415070 is divided by 136? 134 What is the remainder when 756 is divided by 220? 96 What is the remainder when 16258 is divided by 244? 154 What is the remainder when 1921 is divided by 220? 161 Calculate the remainder when 53244 is divided by 106. 32 Calculate the remainder when 10167 is divided by 276. 231 Calculate the remainder when 108481 is divided by 37. 34 What is the remainder when 2903 is divided by 90? 23 Calculate the remainder when 777794 is divided by 194448. 2 Calculate the remainder when 29333 is divided by 1627. 47 What is the remainder when 4126 is divided by 1028? 14 Calculate the remainder when 14018 is divided by 368. 34 Calculate the remainder when 115372 is divided by 8240. 12 What is the remainder when 543821 is divided by 82? 79 Calculate the remainder when 821 is divided by 44. 29 Calculate the remainder when 3236 is divided by 52. 12 What is the remainder when 973534 is divided by 44? 34 What is the remainder when 369239 is divided by 9? 5 What is the remainder when 32617 is divided by 131? 129 What is the remainder when 1444 is divided by 694? 56 Calculate the remainder when 3871 is divided by 1925. 21 What is the remainder when 3373634 is divided by 497? 495 Calculate the remainder when 676606 is divided by 65. 21 What is the remainder when 2095 is divided by 231? 16 What is the remainder when 5898 is divided by 656? 650 What is the remainder when 11411 is divided by 94? 37 Calculate the remainder when 7945 is divided by 1925. 245 What is the remainder when 87182 is divided by 614? 608 What is the remainder when 11552 is divided by 90? 32 What is the remainder when 7336 is divided by 40? 16 Calculate the remainder when 210770 is divided by 667. 665 What is the remainder when 392945 is divided by 509? 506 What is the remainder when 64784 is divided by 32392? 0 What is the remainder when 54471 is divided by 619? 618 What is the remainder when 20898 is divided by 20872? 26 What is the remainder when 245041 is divided by 19? 17 What is the remainder when 28656 is divided by 382? 6 What is the remainder when 54902 is divided by 646? 638 What is the remainder when 14549 is divided by 22? 7 Calculate the remainder when 85656 is divided by 1008. 984 What is the remainder when 40386 is divided by 66? 60 Calculate the remainder when 17256 is divided by 8616. 24 What is the remainder when 402994 is divided by 52? 46 What is the remainder when 19736 is divided by 129? 128 What is the remainder when 1800 is divided by 896? 8 Calculate the remainder when 2877 is divided by 966. 945 What is the remainder when 510142 is divided by 2? 0 Calculate the remainder when 30102 is divided by 45. 42 Calculate the remainder when 2740 is divided by 95. 80 What is the remainder when 7837 is divided by 903? 613 Calculate the remainder when 14816 is divided by 7340. 136 What is the remainder when 161194 is divided by 707? 705 What is the remainder when 1543918 is divided by 23? 20 Calculate the remainder when 151560 is divided by 75780. 0 Calculate the remainder when 4753 is divided by 2274. 205 What is the remainder when 14714 is divided by 32? 26 What is the remainder when 1955891 is divided by 778? 777 Calculate the remainder when 70957 is divided by 285. 277 Calculate the remainder when 320665 is divided by 93. 1 What is the remainder when 18011 is divided by 4? 3 Calculate the remainder when 19540 is divided by 1305. 1270 Calculate the remainder when 231515 is divided by 261. 8 What is the remainder when 71529 is divided by 311? 310 Calculate the remainder when 607 is divided by 41. 33 Calculate the remainder when 845 is divided by 133. 47 Calculate the remainder when 272611 is divided by 121. 119 Calculate the remainder when 8094 is divided by 674. 6 What is the remainder when 1525 is divided by 507? 4 What is the remainder when 13283 is divided by 14? 11 What is the remainder when 14015 is divided by 1999? 22 Calculate the remainder when 911 is divided by 93. 74 What is the remainder when 312911 is divided by 14223? 5 What is the remainder when 93318 is divided by 2222? 2216 What is the remainder when 9396 is divided by 116? 0 Calculate the remainder when 22119 is divided by 7228. 435 What is the remainder when 18131 is divided by 1514? 1477 Calculate the remainder when 1324 is divided by 35. 29 What is the remainder when 16373 is divided by 167? 7 What is the remainder when 8211 is divided by 483? 0 Calculate the remainder when 15937 is divided by 3186. 7 Calculate the remainder when 1557 is divided by 334. 221 Calculate the remainder when 1851803 is divided by 967. 965 What is the remainder when 113038 is divided by 157? 155 What is the remainder when 2828158 is divided by 640? 638 Calculate the remainder when 80376 is divided by 183. 39 What is the remainder when 89097 is divided by 29689? 30 What is the remainder when 254398 is divided by 10? 8 What is the remainder when 6424 is divided by 48? 40 What is the remainder when 4924 is divided by 123? 4 Calculate the remainder when 3242 is divided by 9. 2 What is the remainder when 1520154 is divided by 40? 34 Calculate the remainder when 73519 is divided by 27. 25 Calculate the remainder when 10412 is divided by 101. 9 What is the remainder when 37726 is divided by 5386? 24 What is the remainder when 1629 is divided by 400? 29 What is the remainder when 1470126 is divided by 1164? 1158 Calculate the remainder when 62290 is divided by 13. 7 Calculate the remainder when 51205 is divided by 8534. 1 Calculate the remainder when 51135 is divided by 316. 259 Calculate the remainder when 828 is divided by 36. 0 What is the remainder when 89943 is divided by 40? 23 What is the remainder when 333719 is divided by 40? 39 What is the remainder when 28187 is divided by 66? 5 Calculate the remainder when 41672 is divided by 1736. 8 What is the remainder when 463615 is divided by 11? 9 Calculate the remainder when 21919 is divided by 92. 23 What is the remainder when 12846 is divided by 290? 86 Calculate the remainder when 2060 is divided by 35. 30 What is the remainder when 1012491 is divided by 7? 4 Calculate the remainder when 3550 is divided by 1164. 58 What is the remainder when 3321 is divided by 139? 124 What is the remainder when 29206 is divided by 1825? 6 Calculate the remainder when 105650 is divided by 539. 6 Calculate the remainder when 5830 is divided by 59. 48 What is the remainder when 290 is divided by 43? 32 What is the remainder when 23535 is divided by 449? 187 Calculate the remainder when 1155 is divided by 562. 31 Calculate the remainder when 8569 is di
{ "pile_set_name": "DM Mathematics" }
7/143 Three letters picked without replacement from ririiiiiiiiiriii. Give prob of sequence rri. 13/560 Two letters picked without replacement from zsmxfpp. What is prob of sequence pp? 1/21 Two letters picked without replacement from {q: 2, z: 2, n: 2, e: 4, j: 6, x: 1}. What is prob of sequence zx? 1/136 Two letters picked without replacement from melqeqlzzeezqlewez. What is prob of sequence zz? 2/51 Four letters picked without replacement from gdgssdsggdd. What is prob of sequence sggg? 1/110 What is prob of sequence kuku when four letters picked without replacement from uuuuukukkukuk? 28/429 Three letters picked without replacement from smsowuomsmmsmumu. What is prob of sequence uws? 1/280 Three letters picked without replacement from {c: 1, p: 1, y: 2, n: 2, s: 2, l: 1}. Give prob of sequence pcl. 1/504 What is prob of sequence uu when two letters picked without replacement from uuuqqqqquqqquqxqu? 15/136 Calculate prob of sequence djz when three letters picked without replacement from tzzdtmttdjz. 1/165 Two letters picked without replacement from {o: 3, z: 3, t: 1, i: 1, c: 1, q: 6}. Give prob of sequence qc. 1/35 Two letters picked without replacement from {z: 9, p: 2}. What is prob of sequence zp? 9/55 Four letters picked without replacement from {z: 5, a: 2}. What is prob of sequence zazz? 1/7 What is prob of sequence mddd when four letters picked without replacement from dmddddddddddmm? 45/364 Three letters picked without replacement from {b: 1, l: 5, r: 6, d: 5, w: 2}. Give prob of sequence wwb. 1/2907 Calculate prob of sequence yyy when three letters picked without replacement from {y: 9}. 1 Four letters picked without replacement from ttjcttxtxctxctjctct. Give prob of sequence jjcx. 5/15504 Four letters picked without replacement from dppggggrgogggggopggd. What is prob of sequence opdp? 1/4845 What is prob of sequence ty when two letters picked without replacement from tyyyyyyytyyyy? 11/78 What is prob of sequence wv when two letters picked without replacement from vwgggvwwqygc? 1/22 Calculate prob of sequence yh when two letters picked without replacement from {n: 1, y: 1, h: 1, x: 2, s: 1, l: 2}. 1/56 Two letters picked without replacement from {t: 12, s: 2, m: 3}. Give prob of sequence sm. 3/136 Three letters picked without replacement from uibiuabbbiaiuau. What is prob of sequence aai? 4/455 Two letters picked without replacement from {b: 1, r: 5, u: 3, x: 1}. What is prob of sequence rr? 2/9 Four letters picked without replacement from {d: 2, v: 5, x: 1, h: 2, w: 2, c: 2}. What is prob of sequence dvvh? 10/3003 Calculate prob of sequence ye when two letters picked without replacement from {m: 1, n: 2, y: 1, i: 2, e: 1}. 1/42 Two letters picked without replacement from {a: 3, h: 4}. Give prob of sequence hh. 2/7 Calculate prob of sequence hpwh when four letters picked without replacement from {b: 2, p: 1, j: 1, h: 2, w: 1}. 1/420 What is prob of sequence kk when two letters picked without replacement from {k: 13, s: 2, b: 5}? 39/95 What is prob of sequence llf when three letters picked without replacement from {l: 2, w: 4, f: 1}? 1/105 Three letters picked without replacement from {r: 4, m: 3}. Give prob of sequence rrr. 4/35 Three letters picked without replacement from hqjqwak. What is prob of sequence awh? 1/210 What is prob of sequence cxx when three letters picked without replacement from xccccxccccxccc? 11/364 Three letters picked without replacement from kkk. Give prob of sequence kkk. 1 Three letters picked without replacement from {z: 14, o: 5}. What is prob of sequence ozz? 455/2907 What is prob of sequence yq when two letters picked without replacement from {q: 2, y: 9}? 9/55 What is prob of sequence yiy when three letters picked without replacement from yiyiiyiiiiiiiiii? 13/560 Two letters picked without replacement from nznmfzmx. What is prob of sequence mf? 1/28 Two letters picked without replacement from {a: 1, c: 1, m: 2, y: 4}. Give prob of sequence cm. 1/28 Three letters picked without replacement from {s: 5, c: 3, z: 3}. Give prob of sequence ssz. 2/33 Calculate prob of sequence id when two letters picked without replacement from bbbebeiebeiiebbd. 1/80 Four letters picked without replacement from ttxxneeeteexeexext. Give prob of sequence xxxe. 1/153 What is prob of sequence ttq when three letters picked without replacement from {r: 5, a: 1, q: 5, t: 4}? 2/91 Calculate prob of sequence nvt when three letters picked without replacement from aevants. 1/210 Two letters picked without replacement from xexexxximeixi. Give prob of sequence xx. 5/26 Calculate prob of sequence tte when three letters picked without replacement from {t: 12, e: 1}. 1/13 What is prob of sequence ynyn when four letters picked without replacement from {y: 6, n: 7}? 21/286 What is prob of sequence ssi when three letters picked without replacement from {j: 3, s: 5, r: 5, k: 6, i: 1}? 1/342 What is prob of sequence eeb when three letters picked without replacement from ebeeb? 1/5 Calculate prob of sequence llne when four letters picked without replacement from {d: 3, k: 4, n: 6, v: 3, e: 1, l: 2}. 1/7752 Three letters picked without replacement from vvvfffvvevf. Give prob of sequence ffv. 4/55 Calculate prob of sequence bybb when four letters picked without replacement from {y: 6, b: 4}. 1/35 Three letters picked without replacement from ubabbbddmamubn. What is prob of sequence ubb? 5/273 Three letters picked without replacement from eeemmeeemeeemm. What is prob of sequence mee? 15/91 Two letters picked without replacement from {i: 2, t: 2}. Give prob of sequence ii. 1/6 Three letters picked without replacement from {h: 1, r: 3, y: 3, i: 4, f: 1, e: 5}. What is prob of sequence hfe? 1/816 Four letters picked without replacement from {e: 4, r: 3, c: 2}. What is prob of sequence eecc? 1/126 Three letters picked without replacement from {x: 1, q: 1, r: 2, f: 2, k: 1}. What is prob of sequence qff? 1/105 What is prob of sequence hhr when three letters picked without replacement from {r: 3, c: 9, f: 4, h: 2}? 1/816 Two letters picked without replacement from azcxrjr. What is prob of sequence cz? 1/42 Four letters picked without replacement from {t: 10, g: 3, s: 2}. What is prob of sequence gtsg? 1/273 Calculate prob of sequence mjmb when four letters picked without replacement from {b: 7, q: 1, j: 3, m: 3}. 3/572 Three letters picked without replacement from jvblbblvljlvtvlbl. What is prob of sequence bbj? 1/170 Two letters picked without replacement from {g: 1, z: 3, n: 3, r: 1, t: 2, m: 1}. Give prob of sequence nr. 3/110 Four letters picked without replacement from ooppoooopooppppaooo. Give prob of sequence poao. 385/46512 What is prob of sequence up when two letters picked without replacement from {u: 3, p: 6, h: 4, d: 4}? 9/136 Four letters picked without replacement from lplplplplqfqqfllp. Give prob of sequence fqpp. 1/476 Calculate prob of sequence cc when two letters picked without replacement from cccvcvttc. 5/18 What is prob of sequence yg when two letters picked without replacement from {d: 2, v: 1, g: 1, y: 1}? 1/20 Calculate prob of sequence aa when two letters picked without replacement from {o: 1, b: 4, a: 4, p: 7, k: 2}. 2/51 What is prob of sequence bbkd when four letters picked without replacement from {k: 2, d: 3, b: 5}? 1/42 Two letters picked without replacement from wwwqwwxqxwqwqqww. What is prob of sequence qx? 1/24 What is prob of sequence zz when two letters picked without replacement from kzziik? 1/15 Two letters picked without replacement from emimmqmql. Give prob of sequence ml. 1/18 Two letters picked without replacement from fuaudlg. What is prob of sequence ul? 1/21 Three letters picked without replacement from {g: 3, l: 3, u: 2, k: 5}. What is prob of sequence lgu? 3/286 Four letters picked without replacement from {a: 4, t: 1, i: 6}. Give prob of sequence atii. 1/66 Two letters picked without replacement from {s: 1, q: 1, m: 4, i: 4}. Give prob of sequence qi. 2/45 What is prob of sequence fjku when four letters picked without replacement from {j: 2, n: 1, k: 3, u: 4, f: 1}? 1/330 Three letters picked without replacement from {f: 3, j: 2, l: 5, n: 2}. Give prob of sequence flf. 1/44 What is prob of sequence kx
{ "pile_set_name": "DM Mathematics" }
/4, p, 3/4? -1/4 Let p = 187 - 1679/9. Which is the biggest value? (a) -3/2 (b) p (c) -4 b Let q be 5 - 0 - (-66)/(-15). Let g = 1.2 + -0.2. Which is the second biggest value? (a) g (b) -0.1 (c) q c Let w = -0.091 - 0.889. Let d = w + 1. Which is the smallest value? (a) -4/9 (b) d (c) -5 c Let p(g) = g**3 + 3*g**2 - 4*g + 4. Let y be p(-4). Suppose 2*v - y*r = -v - 6, 0 = 4*r. Let c = -2.997 - 0.003. What is the biggest value in c, 0.3, v? 0.3 Let i = -2.1 + 1.9. Which is the smallest value? (a) -1/4 (b) i (c) -0.12 a Let j = 1.9 + -3.1. What is the second smallest value in -5, -1, j? j Let u = 13 + -14. Let l = 0.95 + u. Which is the second biggest value? (a) l (b) 0.4 (c) 5 b Let m be 1*13/(-6) + 2. Suppose 5*h - 3*z = -6*z - 35, -3*h + z = 35. Let j be 8/h*(-5)/26. What is the third smallest value in j, 2/3, m? 2/3 Let y = 5 - 4.6. Let x = 7/3 - 11/6. Suppose o - 3*o - 4 = 4*g, 5*g - 5*o = -5. Which is the second smallest value? (a) x (b) g (c) y c Let q = -3.068 - 0.032. Let w = q + 0.1. Let z = w - -3. Which is the second biggest value? (a) z (b) -2/19 (c) -3/2 b Let w = -0.69 - 1.81. Let d = -0.5 + 0. Let v = d + w. What is the third biggest value in 4/3, v, 6? v Let l = 1.4 + -1.4. What is the biggest value in -3/4, l, 2/11? 2/11 Let u = 4 + -4. Let f = u - -1.4. Let h = 0.4 - f. Which is the second biggest value? (a) 0.4 (b) 0.2 (c) h b Suppose 6*i + 4 = -a + 3*i, i - 6 = -4*a. Suppose 0 = 3*w + w + 28. Let c = a + w. What is the smallest value in 4, c, 0.1? c Suppose 6*q = 4*q. Let r be 19/12 - (-4)/(-16). What is the biggest value in q, 1/8, r? r Let q = 317/5 - 64. Let d = 0.1 - 0.6. Which is the third smallest value? (a) 2/7 (b) d (c) q a Suppose -4*j - 7*j = 0. What is the third biggest value in j, -1/2, 3? -1/2 Suppose 3*m = -1 - 5. Which is the third smallest value? (a) m (b) -1/4 (c) -5 b Let i = 3/44 - 7/22. Which is the second smallest value? (a) -3 (b) -0.5 (c) i b Let m be (-3)/12 - (-31)/(-4). Let k = -12 - m. Which is the second biggest value? (a) 0 (b) k (c) 3 a Let x be 62/(-65) + (-4)/(-26). Let k = -0.28 + -0.02. Let s be (-2)/(-12) - 35/(-150). Which is the second smallest value? (a) k (b) s (c) x a Let p = 44 - 39. Which is the third smallest value? (a) -10 (b) p (c) -0.1 b Suppose b - 2*b = -5. Suppose 32 = -3*m - m. Let g = 8 + m. What is the smallest value in b, g, -3? -3 Let v be (-2)/(-3) + 5/(-1 + -9). Which is the fourth biggest value? (a) v (b) 1 (c) 2/15 (d) 15 c Let i = -4.22 - -0.22. Which is the second biggest value? (a) 0.3 (b) i (c) -3 c Let t = 0 - 8. Let o = -0.1 - 3.9. Let a = o - t. What is the third smallest value in a, 0.2, 1? a Let s(j) = j**2 - 2 + 0 + 1 + 7*j. Let z be s(-7). Let f be (3 + -5)*z/(-5). What is the second biggest value in 3/2, f, -2/9? -2/9 Let q = -0.54 + 0.5. Let l = q + 0.03. Which is the third smallest value? (a) -1 (b) l (c) -2/9 b Let w = 25.3 - 26. Let d = 0.1 + 0.2. Let r = w + d. What is the second smallest value in 2, 1/3, r? 1/3 Let m(r) = -r**3 - 5*r**2 + 7*r + 8. Let t be m(-6). Let j = 1.3 - 3.3. Let i = j + 1.8. Which is the third biggest value? (a) -5 (b) t (c) i a Let p = 90 - 92.15. Let g = -0.25 + p. Let y = g + 0.4. What is the third biggest value in 1/3, y, -1/2? y Let w = -1.5 - -0.8. Let s = w + 0.3. Which is the second smallest value? (a) s (b) 4/5 (c) 4 b Let u be (0 - 0)/(1*-1). Let d be 18/14 + (u - 1). Let h(o) = 2*o. Let z be h(1). Which is the third biggest value? (a) z (b) d (c) -2 c Let g = -3.1 - -2.8. Which is the second smallest value? (a) -0.1 (b) g (c) -2/9 c Let x = 7 + -10. Which is the third biggest value? (a) -1/2 (b) -4/9 (c) x c Let d = 32 - 31.4. Which is the smallest value? (a) -2 (b) -4/5 (c) d a Let u(a) = a**2 - 4. Let v be u(3). Suppose 2*x = v*x. Let h = -35 - -141/4. What is the second smallest value in -0.5, x, h? x Suppose -k = -2 - 0. Let f be k + (0/2)/(-1). Let h be 12/18*3/f. Which is the second smallest value? (a) -0.2 (b) h (c) -5 a Let l = 3.5 + -3.4. Let v = 0.4 - -0.1. Which is the second smallest value? (a) -0.4 (b) l (c) v b Let o = 3389/22 - 71297/462. Let l = o + 2/21. What is the third biggest value in 3, l, -1/10? l Suppose -5*j = -7*j + 14. Let q = j - 8. What is the biggest value in 1/3, q, -1/3? 1/3 Let a = -105 - -105. What is the third smallest value in -3, a, 1.9? 1.9 Let t = 0.05 - -0.04. Let m = 4.91 + t. Let b = 6 - 6.3. What is the third biggest value in m, -3/4, b? -3/4 Let k = -0.1 - -0.3. Let l = k + -9.2. Let j = l - -11. Which is the biggest value? (a) 0.4 (b) -0.5 (c) j c Let l = -6 + 5.8. Let h = l + 0.4. What is the third smallest value in 0, h, 4? 4 Let p be (-9)/(-6)*12/63. Let k = -15 - -8. Let m = -2 - k. Which is the smallest value? (a) m (b) p (c) -3/5 c Let g = 0 - 10. Let s = g - -5. What is the second smallest value in 1/6, s, 0.5? 1/6 Let y = 0.07 - -2.93. Let l = y - 8. Let n = -45 - -44.9. Which is the second smallest value? (a) n (b) -4 (c) l b Let g = 40 - 39. Which is the third smallest value? (a) 21 (b) -0.4 (c) g a Let i = -7.4 + 7. Suppose -11 = -3*y - 5. Suppose -y = -2*z + 8. Which is the smallest value? (a) z (b) i (c) -1 c Let i be (-2)/4 - 13/(-2). Let y = i - 1. Let l be ((-3)/((-9)/(-6)))/2. What is the second biggest value in y, l, 3/2? 3/2 Let p be (-168)/286 + (-22)/121. Let z = 59/26 + p. Let d = 266 + -3992/15. Which is the second smallest value? (a) 2 (b) z (c) d b Let g = -9 - -13. Suppose 5*z = z. Let x be (28/21)/(4/(-6)). What is the smallest value in g, x, z? x Let p = -12 - -11. What is the third smallest value in -2/3, p, -4? -2/3 Let u = -428/1095 - 2/219. Let o = -0.1 - 0.4. Which is the third biggest value? (a) o (b) 0.03 (c) u a Let i(j) = -j**2 + 11*j + 15. Let z be i(12). Suppose 3 + 6 = z*u. Let f be (2/5)/((-1)/5). Which is the third biggest value? (a) 1 (b) u (c) f c Let i = 3 - 1. Let g = 57 - 58.08. Let z = 0.08 + g. Which is the smallest value? (a) z (b) 1/7 (c) i a Let i(d) = -d**2 + 6*d - 5. Let r be i(6). Let t = -0.25 + 0.05. Let l = 1.6 - -0.4. What is the second smallest value in r, l, t? t Let z be (-8)/(-45) - (-4)/(-10). Let b = -0.963 + -0.037. What is the second smallest value in -2/11, b, z? z Let r = 106/105 + -12/35. Let z = 0.3 + -0.2. Which is the second smallest value? (a) z (b) 0 (c) r a Let j = -0.4 + -1.6. Let n = 9 + j. Let t = n - 4. What is the smallest value in 1, -0.4, t? -0.4 Let y = 3.7 + 0.3. Let m = -4 - -4.02. Let l = m + -0.22. Which is the third biggest value? (a) l (b) -4/7 (c) y b Let s = -97 + 295/3. Which is the third biggest value? (a) 5 (b) -3 (c) s b Let t = 13 + -14. What is the second smallest value in -0.3, 0.3, t? -0.3 Suppose -2*u - m - 18 = m, -5*m - 35 = 3*u. Let o = -13774/5 - -2769. Let b = -14 + o. What is the second biggest value in b, u, -4? -4 Let a(k) = -4*k + 1. Let w be a(1). Let l(u) = u**3 + 3*u**2 - 1. Let o be l(w). What is the third smallest value in o, -4, 0.1? 0.1 Suppose f - 5*h = -0*f + 3, 2*f = -h + 6. Let o = -14 - -7. What is the biggest value in f, -2, o? f Let p be (-6)/(-14) + 3/(-3). Let f = -97 - -875/9. Which is the smallest value? (a) -0.5 (b) f (c) p c Let t be (-1)/(-3) + 92/(-204). Which is the second smallest value? (a) -4 (b) t (c) -2 (d) 6/11 c Let t = 0.32 - -0.18. Which is the third smallest value? (a) -0.2 (b) -1 (c) t (d) 0.4 d Let l = 4 - 3.95. Which is the third biggest value? (a) 5 (b) l (c) 0 c Let p(q) = q**3 + 2*q**2 + q + 4. Let i be p(-2). What is the third smallest value in i, -0.2, -1, -3? -0.2 Suppose 0 = -3*p - 3*v - 6, p + 2*v - 4 = 4*v. Which is the second biggest value? (a) -1/3 (b) 0.4 (c) p c Let z(g) = -g**2 + 10*g - 12. Let a be z(9). Let u be a/((-18)/(-22)) + 3. What is the third biggest value in 0, 5/6, u? u Let g = -6 - -10. Let i = g + -3.6. Let p = -4 + 4.1. What is the third smallest value in i, p, 0.3? i Let k = 7 + -4. Let h be (-14)/(-63) + 14/(-36). Let q = 11.9 - 12. Which is the second biggest value? (a) h (b) q (c) k b Suppose 2 = -3*n + 2*n. What is the third smallest value in 3, n, 0.3, -4? 0.3 Let i be -1 + -3 + (-2 - -7). What is the smallest value in -5, i, -2/3? -5 Let t be 49/(-14)*(-30)/7
{ "pile_set_name": "DM Mathematics" }
m {i: 1, o: 2, c: 10, y: 3, b: 1}. What is prob of sequence co? 5/68 Calculate prob of sequence nnn when three letters picked without replacement from {n: 1, i: 1, q: 3}. 0 What is prob of sequence is when two letters picked without replacement from {i: 2, s: 4}? 4/15 Four letters picked without replacement from llllplppaallllapllll. Give prob of sequence aala. 13/19380 Calculate prob of sequence eq when two letters picked without replacement from qeeeqeeeqqqeeqqqqee. 5/19 Two letters picked without replacement from {n: 1, u: 6, e: 4}. Give prob of sequence un. 3/55 Two letters picked without replacement from {l: 2, h: 2, q: 8}. Give prob of sequence qh. 4/33 Four letters picked without replacement from ddnddaedekkdakdud. What is prob of sequence nkda? 1/1190 What is prob of sequence nf when two letters picked without replacement from {f: 1, n: 1, l: 17}? 1/342 Two letters picked without replacement from {s: 6, u: 1, h: 2, n: 4}. What is prob of sequence su? 1/26 Three letters picked without replacement from xzuaxzzzaxazx. Give prob of sequence uzz. 5/429 What is prob of sequence je when two letters picked without replacement from jej? 1/3 What is prob of sequence jzz when three letters picked without replacement from lljjjzzxzjzllzj? 10/273 Three letters picked without replacement from {a: 9, d: 11}. What is prob of sequence daa? 11/95 Three letters picked without replacement from {h: 1, e: 1, a: 1, x: 1, r: 2, y: 1}. What is prob of sequence yxh? 1/210 What is prob of sequence avtt when four letters picked without replacement from tatogvvgvvvvvbbtvb? 1/1530 Three letters picked without replacement from {h: 1, j: 2, t: 2, r: 2, z: 1}. What is prob of sequence hzt? 1/168 Three letters picked without replacement from hhhhkhqhhqhkqhhq. Give prob of sequence qkk. 1/420 Two letters picked without replacement from zzxzzzpzxzppzpp. What is prob of sequence zp? 4/21 Calculate prob of sequence lv when two letters picked without replacement from zlzvv. 1/10 Three letters picked without replacement from {j: 14, o: 1}. What is prob of sequence jjj? 4/5 Calculate prob of sequence iiic when four letters picked without replacement from {i: 4, c: 15}. 5/1292 Calculate prob of sequence mm when two letters picked without replacement from qyvvyqyymqmqyvqqqfq. 1/171 What is prob of sequence kfk when three letters picked without replacement from yykykfffyyff? 1/132 What is prob of sequence zy when two letters picked without replacement from zzyzyzzyzz? 7/30 Calculate prob of sequence bdb when three letters picked without replacement from {b: 4, d: 2, x: 1}. 4/35 Four letters picked without replacement from eksaeueeeeeeueeeek. What is prob of sequence ekeu? 11/1530 Four letters picked without replacement from xobbkoksbo. What is prob of sequence bkxs? 1/840 Three letters picked without replacement from mxxmxmwmxxm. Give prob of sequence mwm. 2/99 Calculate prob of sequence ntn when three letters picked without replacement from yesynneeteyysyeyye. 1/2448 Two letters picked without replacement from {c: 4, o: 5, m: 1, k: 2, y: 2, f: 1}. What is prob of sequence cy? 4/105 Three letters picked without replacement from {u: 1, e: 4, j: 2, v: 2}. Give prob of sequence ujv. 1/126 Two letters picked without replacement from drrxxxxdddddddq. Give prob of sequence xx. 2/35 What is prob of sequence hjij when four letters picked without replacement from {m: 6, u: 4, h: 1, j: 4, e: 2, i: 1}? 1/6120 Three letters picked without replacement from ododbbbubuooau. Give prob of sequence bdo. 4/273 Two letters picked without replacement from ogggrogogoooo. Give prob of sequence gr. 5/156 What is prob of sequence tejj when four letters picked without replacement from hhjjjteejntt? 1/165 Four letters picked without replacement from {l: 3, s: 3, c: 6, j: 1}. What is prob of sequence jlsl? 3/2860 Three letters picked without replacement from eeccteceeecilelrceee. What is prob of sequence lcc? 1/171 What is prob of sequence aa when two letters picked without replacement from {o: 1, a: 4, c: 2, j: 1}? 3/14 Calculate prob of sequence qt when two letters picked without replacement from tqttqqq. 2/7 Four letters picked without replacement from {a: 3, f: 1, w: 5}. Give prob of sequence fwwa. 5/252 Calculate prob of sequence ukdk when four letters picked without replacement from uquykdqkuaua. 1/1485 Calculate prob of sequence ggwg when four letters picked without replacement from {w: 13, g: 3}. 1/560 Calculate prob of sequence dmmd when four letters picked without replacement from xzdzzxzdmmxzdxxmzmx. 1/1292 Four letters picked without replacement from {c: 7, j: 2, t: 2}. Give prob of sequence tcjj. 7/1980 Four letters picked without replacement from cvvvckcbkklllcccplv. Give prob of sequence vvbk. 1/2584 Two letters picked without replacement from tocffcy. Give prob of sequence co. 1/21 Four letters picked without replacement from {y: 6}. Give prob of sequence yyyy. 1 What is prob of sequence hn when two letters picked without replacement from {n: 11, h: 3}? 33/182 Three letters picked without replacement from sjdssjdj. Give prob of sequence dsd. 1/56 Calculate prob of sequence bpbb when four letters picked without replacement from {b: 4, p: 1, m: 2, k: 2}. 1/126 Four letters picked without replacement from {n: 4, u: 1, g: 3}. Give prob of sequence nung. 3/140 Calculate prob of sequence jzz when three letters picked without replacement from wzzwzzjzzzzzwzzz. 11/280 Calculate prob of sequence em when two letters picked without replacement from {m: 3, e: 1, j: 5}. 1/24 Calculate prob of sequence ga when two letters picked without replacement from ujajjuuffkfkugu. 1/210 Calculate prob of sequence zh when two letters picked without replacement from zzzhzzozozlh. 7/66 Four letters picked without replacement from {z: 12, j: 3}. What is prob of sequence jzzz? 11/91 What is prob of sequence ws when two letters picked without replacement from {n: 1, s: 1, k: 2, c: 2, w: 1}? 1/42 Three letters picked without replacement from {l: 2, n: 2, m: 3, t: 2}. What is prob of sequence mmt? 1/42 Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm. 1 Two letters picked without replacement from ccoxhxxoxhox. Give prob of sequence ch. 1/33 Calculate prob of sequence fffr when four letters picked without replacement from fffrffffrfrfrf. 120/1001 Three letters picked without replacement from {f: 2, y: 7, a: 5, k: 2, s: 4}. What is prob of sequence kfy? 7/1710 Calculate prob of sequence qq when two letters picked without replacement from qssssqqsqq. 2/9 Calculate prob of sequence vj when two letters picked without replacement from amemvedj. 1/56 Two letters picked without replacement from {b: 9}. What is prob of sequence bb? 1 Two letters picked without replacement from qpyfqpftqysfqs. What is prob of sequence tp? 1/91 What is prob of sequence wmxt when four letters picked without replacement from xxxtxxxxxwxmxwx? 11/16380 Four letters picked without replacement from {a: 4, n: 6, r: 3}. Give prob of sequence rara. 3/715 Two letters picked without replacement from {o: 1, a: 1, z: 2}. What is prob of sequence za? 1/6 Three letters picked without replacement from {j: 12, a: 5, h: 2}. Give prob of sequence jja. 110/969 Two letters picked without replacement from bbbdbddfbbbbbbb. Give prob of sequence bb. 11/21 Two letters picked without replacement from {j: 1, f: 3, e: 2, p: 1, n: 8, q: 2}. Give prob of sequence je. 1/136 What is prob of sequence cgee when four letters picked without replacement from tcttctttgecec? 1/2145 Calculate prob of sequence ttj when three letters picked without replacement from tnnjtnnnntnntnntnt. 5/816 What is prob of sequence eqel when four letters picked without replacement from lejeelejelqbql? 20/3003 Calculate prob of sequence jp when two letters picked without replacement from {e: 2, p: 4, k: 2, j: 2, u: 1, w: 1}. 2/33 What is prob of sequence eu when two letters picked without replacement from exqtoqou? 1/56 Three letters picked without replacement from {j: 3, y: 9}. Give prob of sequence jyj. 9/220 Two letters picked without replacement from daxvg. What is prob of sequence gv? 1/20 What is prob of sequence hvh when three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
ue? (a) -107 (b) -3 (c) 5 (d) 9/2 (e) 16 b Which is the second biggest value? (a) 475 (b) 34 (c) -37 (d) -2/3 (e) -4 b What is the fifth biggest value in -0.3, 8, -4/7, 29.01, -5, 1/15? -4/7 Which is the second biggest value? (a) 3/11 (b) 1 (c) -0.213364 a What is the second smallest value in -2/3, 0, 3, 0.01, 2056? 0 Which is the fourth biggest value? (a) 0.08 (b) -2 (c) 0.5 (d) -364 (e) 0.047 (f) 0 (g) 4 e Which is the smallest value? (a) -21 (b) -0.7 (c) 0 (d) 3 (e) 2/5 (f) 10 a Which is the sixth biggest value? (a) 1 (b) 21.61 (c) -1 (d) 3 (e) -3/14 (f) -2 f Which is the biggest value? (a) -27579 (b) -0.3 (c) -4/13 (d) -2/17 (e) -0.5 d What is the sixth biggest value in 23/3, 1/5, -2, -1.3, 0.8, -14? -14 What is the second biggest value in 19, -2.5, 6, 1.2, 2, -2/7, -0.2? 6 Which is the smallest value? (a) -0.5 (b) -6/29 (c) 1/9 (d) -702 (e) -1 (f) 5 d What is the third biggest value in 1/6, -308/17, -48, 12, -1/5? -1/5 What is the fourth biggest value in 958, 0.6, -17, 0.025? -17 What is the fifth biggest value in -0.1, -2394.2, -5, 2/3, 6/5, 3/2? -5 Which is the fifth smallest value? (a) 3 (b) 1/3 (c) -2/23 (d) -18 (e) 12.73 e What is the sixth biggest value in -0.05, 4, -2/3, -2/19, -2.619, 0.5, 0.4? -2/3 Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -3 (d) 95/7 (e) 1/16 (f) 1/33 a Which is the fourth biggest value? (a) 78 (b) 2/17 (c) -0.5 (d) 4 (e) -455 c What is the fourth smallest value in 4.8, -1.8, -0.4, 60? 60 What is the sixth biggest value in -0.5, 0.3, 444, 17/2, 0.2, -11? -11 Which is the second biggest value? (a) 0.571 (b) -4 (c) -1 (d) -0.5 (e) -16 d What is the biggest value in 14/3, 0.21, 5, 4/7, 3, -3, -8.5? 5 Which is the seventh smallest value? (a) 1 (b) -1593 (c) -3 (d) 0.4 (e) 2 (f) -1 (g) 747/2 g What is the second biggest value in 5418/25, -24, -109? -24 What is the biggest value in 1, 1.6, 142, -1.38, -2? 142 What is the third smallest value in 1, 0.662, -12.515? 1 What is the sixth biggest value in -39567/7, -1, 1/11, 0.2, 1, 3/4? -39567/7 What is the sixth biggest value in -1, -0.12, 5, 3, 3/4, 39.1? -1 What is the fifth smallest value in -1.158, -33, -1/2, 0, 12, 5? 5 What is the third smallest value in -27/2, -3/11, -363.9? -3/11 Which is the third biggest value? (a) 0.17 (b) -1487061 (c) 2 b What is the smallest value in 0.4, 3/5, 143, -0.1, -1/5? -1/5 What is the third biggest value in 3, -1, 631, -0.78? -0.78 What is the second biggest value in 4.5, -0.8, 2/3, -4/1747? 2/3 Which is the smallest value? (a) 181 (b) -21 (c) 122 (d) -0.06 b What is the fourth smallest value in 22/12455, 3/2, 9, -1/4, 0.5? 3/2 What is the second smallest value in 2/15, -3/13, 986928? 2/15 What is the third biggest value in 0, -3, 3/8, -36, 11, 3, 2? 2 What is the fourth biggest value in -3/1844, -1/4, 0.14, 6, 3? -3/1844 Which is the second smallest value? (a) 5 (b) 0.043 (c) -10 (d) -1/5 (e) 2 (f) 15 d What is the third biggest value in 3, -122806, -2/7, -2/19, -0.31, -0.2? -0.2 Which is the biggest value? (a) 0.22 (b) 9 (c) -1330 (d) -3 b What is the second biggest value in 7, 2, -2/3, 1/38712? 2 What is the fifth biggest value in 0.06, 1/9, -4/3, 11, -6? -6 Which is the seventh biggest value? (a) 6 (b) -0.3 (c) -0.2 (d) 2 (e) -2/17 (f) -48 (g) -3/8 f What is the second smallest value in -61, 562, 5/4, 5? 5/4 What is the third smallest value in 5/176, 13/2, 5? 13/2 Which is the fifth biggest value? (a) 0.6 (b) 80/17 (c) 3 (d) -51 (e) -7 d What is the smallest value in -4, 6, 17, 4, 2/9, -61/5, 5/6? -61/5 Which is the second smallest value? (a) 362747 (b) -7.2 (c) 0.3 c Which is the fifth smallest value? (a) -5 (b) 9 (c) -0.5 (d) 2 (e) -1/5 (f) -5026 (g) -3/2 e Which is the second biggest value? (a) -0.3 (b) -101 (c) -3/236 (d) -1/9 (e) -2 (f) 0.3 c Which is the third smallest value? (a) -3983 (b) -13677 (c) -3/4 c What is the second smallest value in -3, 3, -0.11286942? -0.11286942 What is the third biggest value in -355672, -3/7, -5, -2/3, 3/2? -2/3 What is the fourth biggest value in 1/61, 0.01, -0.2, 0.3, -5.81? -0.2 Which is the sixth smallest value? (a) -2 (b) -1 (c) -214 (d) -71 (e) 0 (f) 1/2 f What is the seventh smallest value in -0.1, 1.6, -114, -0.3, -2/59, 0.4, 1/5? 1.6 Which is the third biggest value? (a) -1869.8 (b) 5/4 (c) -9/58 (d) -0.9 d Which is the biggest value? (a) 3/7 (b) -40 (c) 2 (d) 67915 d What is the second smallest value in 2, 0, -0.4, -77195/14, 1/3? -0.4 Which is the sixth smallest value? (a) 0 (b) -3 (c) -48/13 (d) 22 (e) -4 (f) 59 f Which is the biggest value? (a) -2/13 (b) 31 (c) -380 (d) -2.53 (e) 4 b Which is the second smallest value? (a) 3/4 (b) 1 (c) 46.9 (d) -7.92 (e) 0 e Which is the biggest value? (a) 23790 (b) -5 (c) -94 a What is the second biggest value in 362944, 0.3, -1/7? 0.3 Which is the sixth biggest value? (a) 1 (b) 63 (c) -2/11 (d) 47 (e) 1/5 (f) -3 f Which is the fourth biggest value? (a) -36/5 (b) 1 (c) 14 (d) 0.043 (e) 3/13 d What is the second biggest value in 2, 986, -3, 3, -863? 3 What is the seventh smallest value in -3, -2/5, 263, -1/4, 1, 13, 0.4? 263 Which is the smallest value? (a) -2 (b) 11/4 (c) -1/8 (d) -85/23 (e) 10 d Which is the second biggest value? (a) -6 (b) 19359 (c) 0.213 c Which is the second smallest value? (a) 5/82 (b) 3 (c) -0.09 (d) 2/407 (e) 0.08 d What is the fifth smallest value in 0.3, -3/5533, 0.9, 2/5, -16? 0.9 What is the second biggest value in 15/2, -4, 0.2, 436, -5? 15/2 Which is the fourth biggest value? (a) -1 (b) 0.1 (c) -197.84785 (d) -1/11 c Which is the third biggest value? (a) 0.4 (b) -2.6 (c) 3/5 (d) -0.4 (e) -2/23 (f) 5 a What is the third smallest value in -2/5, 4, -0.1, 0.2, -1, 0.047363? -0.1 Which is the third biggest value? (a) -12/77 (b) 0.5 (c) 15/2 (d) 1/8 (e) -1/5 d Which is the smallest value? (a) 0.5 (b) 0.2 (c) -0.1 (d) 108/91 (e) 0.3 c What is the third biggest value in -1218, 2, 0.8905? -1218 Which is the second smallest value? (a) 1214 (b) 0 (c) -923 b What is the fourth smallest value in -1, 1, -6458, -2, 0, 5.3? 0 Which is the smallest value? (a) -26 (b) 3 (c) 5 (d) 2/3 (e) 186 (f) 1 (g) 5/6 a Which is the fourth smallest value? (a) 21/2 (b) -73 (c) -1/3 (d) 0.1 (e) -403 d What is the second smallest value in 2/255, -2/9, -0.2, 2, 14, 1/4? -0.2 What is the third biggest value in 3, 2, -6/7, -3, -0.02, -524? -0.02 What is the fourth smallest value in -5235, 3/7, -0.4, 2, -36, 1/2, -1/8? -1/8 Which is the smallest value? (a) -0.1413 (b) 0 (c) -4 (d) 12 c Which is the third biggest value? (a) -0.60068 (b) -0.1 (c) 3 a What is the second biggest value in 24095299, 0.5, -1? 0.5 What is the fifth biggest value in -8/23, -3/5, 0.4, -1, -5, 2/3, -0.09778? -3/5 Which is the fifth smallest value? (a) 0.1 (b) 210 (c) -719 (d) 3 (e) 1/3 (f) 6 f Which is the second smallest value? (a) -9 (b) -5 (c) -121 (d) -1/2 (e) -3/346 a What is the seventh smallest value in 3, -1/4, -2.2, -2, -1831, -1, -5? 3 Which is the third biggest value? (a) -5/4 (b) -579 (c) 56 (d) -0.05 a Which is the sixth biggest value? (a) 5 (b) 19/4 (c) -1/5 (d) 0 (e) 7 (f) 2 (g) -8/173 g Which is the second biggest value? (a) -13857 (b) -1.14 (c) 0.04 b Which is the third biggest value? (a) 712 (b) 2 (c) -43/9 (d) 1.86 d Which is the second smallest value? (a) 1 (b) 23 (c) 948 (d) 1024 (e) -2/7 a Which is the third smallest value? (a) 3 (b) 8.5 (c) 23/1164 b What is the fourth smallest value in 1, -0.1, -0.15311, -4? 1 Which is the third biggest value? (a) 5 (b) -183 (c) -126/125 b Which is the second biggest value? (a) -1 (b) 1352/17 (c) 10952 b What is the fourth biggest value in -2/7, 2/7, -234, -8, 19, 2? -2/7 What is the fourth biggest value in -0.0208, -2/21, 5/6, 2, -1/5? -2/21 Which is the smallest value? (a) -0.5 (b) 6/5 (c) -14 (d) -128992 d What is the biggest value in 125325, 634/7, 1? 125325 Which is the fifth smallest value? (a) -0.4 (b) 1/2 (c) -0.064 (d) 562.6 (e) -1 d What is the smallest value in -271, -12/509, 24? -271 What is the fourth biggest value in 0.2, 3, -
{ "pile_set_name": "DM Mathematics" }
b) -2/19 (c) -5 (d) 17 (e) 0.05 c Which is the nearest to -58? (a) -1/10 (b) 0.071 (c) 0.1 (d) -2/5 (e) 0 d Which is the closest to -0.1? (a) 0 (b) 46/361 (c) -0.1 (d) -4/7 (e) -3 c What is the nearest to 2/11 in -1/5, 0, 363, 2, -3.4, -1/3? 0 Which is the nearest to -2/7? (a) 10 (b) 0.2 (c) 0 (d) 57 (e) 5 (f) 128 c What is the nearest to 2/13 in 3, 0.2, -8406? 0.2 Which is the nearest to -0.1? (a) 19/20 (b) -4/11 (c) -5 (d) 68 (e) 3/2 b What is the closest to -1/8 in -1/6, 20, 121/5, 0.06? -1/6 Which is the nearest to 2/31? (a) 1/4 (b) 3 (c) 83/31 (d) 27 a What is the nearest to 42/23 in 1/2, 1/13, -2, 2.357? 2.357 Which is the nearest to 4? (a) 4 (b) -0.1 (c) 1.4 (d) -0.8 (e) 2738 a Which is the closest to 0.1? (a) -22628/21 (b) -0.2 (c) 1/2 (d) 6 b What is the closest to 118 in -2, 0.2, 2/105, -0.7? 0.2 What is the nearest to 4.1 in 0.08, -1, -2, 0.02, -2/9, -131? 0.08 Which is the closest to 5? (a) -392 (b) -0.14 (c) 2/5 (d) 6 (e) -2/5 d What is the closest to -2/93 in -1, 0.06, -7, 1/9, 1/10? 0.06 Which is the nearest to -517? (a) -5/3 (b) 204 (c) 1 a What is the closest to 1 in 1470, 5, -198, -0.037? -0.037 Which is the nearest to -1/2? (a) 0.091031684 (b) -1 (c) 1 b What is the nearest to 4.89 in -4, -1.03, 443? -1.03 Which is the nearest to 1? (a) -104216 (b) 25/2 (c) 1 c Which is the closest to 2/7? (a) 414 (b) -0.1 (c) -22 (d) -2.25 (e) -0.4 b What is the nearest to -0.79 in 25, 12, -1, -11? -1 Which is the nearest to 0? (a) 14 (b) 1428 (c) -0.6 (d) 5 (e) 6/17 e What is the nearest to 4.9 in -10, -0.1, 4, -6, 4/5, 26? 4 Which is the closest to -2/5? (a) -1/2 (b) -3799 (c) -611 (d) 1/2 a What is the nearest to -2/7 in 3, 0.3, -18.194? 0.3 Which is the nearest to 0? (a) 18 (b) 2 (c) 0.0773 (d) -3 (e) 1 c Which is the closest to -120? (a) -2/7 (b) -5 (c) -1/2457 (d) 1 b Which is the nearest to 50? (a) 0.2 (b) 556.82 (c) 4/7 (d) -3 (e) -0.2 (f) -0.3 c Which is the nearest to -49/3? (a) -2 (b) 48 (c) -9/5 a Which is the closest to 1? (a) 0.2 (b) 660 (c) 2 (d) -5 (e) 1646 (f) 5 a Which is the nearest to -1413? (a) -3 (b) 4/3 (c) 2/9 (d) 50 (e) -2 (f) -2/3 a Which is the closest to 2? (a) 150 (b) 1/7 (c) -1/7 (d) -1666 b What is the closest to -65 in -4, 901, 0.05? -4 What is the closest to 2.7173 in -12/5, 0.4, 0.3, 1, 6? 1 Which is the nearest to -1/3? (a) 0.5 (b) -4/9 (c) 2/25 (d) 0.8 (e) 36/13 b Which is the closest to -3/5? (a) 0.07 (b) 4/9 (c) 292 (d) -0.02 d What is the nearest to -4 in 493, -1.65, 3? -1.65 Which is the nearest to -4409? (a) -5 (b) 1/5 (c) -0.468 (d) -2 a What is the nearest to 0.6 in 0.2, -7, -0.1, -4, 7? 0.2 Which is the closest to 0.1? (a) -1 (b) -5 (c) 125.7 (d) 1 (e) 38 d What is the nearest to 44 in 0.02, -217, 0.6? 0.6 Which is the nearest to 0.1? (a) -67194 (b) -0.1 (c) 3 (d) -5 (e) -13 b Which is the nearest to -0.1? (a) -2/7 (b) -0.242 (c) 2 (d) -17314 b What is the nearest to -3/16 in -0.6, -0.02, 3, 1162, 0.2? -0.02 Which is the closest to -36/11? (a) 13 (b) 2/91 (c) -9 b Which is the closest to 2/3? (a) -0.5 (b) -3 (c) -4 (d) -7 (e) -151 a What is the closest to -0.1 in -3, 1/6, 3/5, 199, 4/49? 4/49 Which is the closest to 584? (a) 3 (b) 1/3 (c) -0.4 (d) -40 a Which is the closest to -1? (a) 47 (b) -9 (c) 3/50 (d) 0.3 c Which is the closest to 1/8? (a) 16/115 (b) -1/15 (c) 1/4 a What is the nearest to -6167 in 4, -6/19, -0.07? -6/19 Which is the nearest to -3487? (a) 113 (b) -2/15 (c) 0.5 (d) -3 d Which is the nearest to -12893? (a) 1/7 (b) 2.97 (c) 1/6 (d) 0.5 (e) -10 e What is the nearest to 60 in -13, -53/21, -10, -0.5? -0.5 Which is the closest to -0.1? (a) 2/11 (b) 0.3 (c) 2.42 (d) -837 a Which is the nearest to -8? (a) -1/28 (b) -15 (c) 0.01 b Which is the nearest to 0.1? (a) -4 (b) 1/20 (c) 37/3 (d) 0.2 (e) -44 b Which is the closest to -0.1? (a) -1 (b) -853 (c) -15 (d) -2/5 (e) 2 (f) -0.5 d Which is the nearest to 0.2? (a) -26/59 (b) -170 (c) 2/7 (d) -1.6 c What is the closest to -0.1 in -204, -4, 0.003, 0.93? 0.003 Which is the nearest to -2/5? (a) -12 (b) 0 (c) 3/10 (d) 154/13 b Which is the closest to 2? (a) -13 (b) 0.5 (c) -0.2 (d) 9/11 (e) 0.272 d Which is the closest to 4/79? (a) -5 (b) -7/6 (c) 2 (d) 6 (e) 9 (f) -0.1 f What is the nearest to -49403 in 5, -0.3, -3? -3 What is the closest to -1/2 in -377, -2, 3/2, 308? -2 What is the closest to 0 in 71, -1, -5693, 2/13? 2/13 Which is the closest to 7.75? (a) -0.3 (b) -11/29 (c) 20/3 (d) 0 c What is the nearest to 12 in -0.2, 4.1993, 0? 4.1993 What is the closest to 7 in 2/5, 295, 2852? 2/5 What is the closest to -0.43 in 15/4, 5.238, -2/3? -2/3 Which is the closest to -0.4? (a) -33/34 (b) 294 (c) 0.3 a Which is the closest to 1/22? (a) -2/101 (b) -2 (c) 5/2 (d) -9 (e) -45 (f) 0.2 a Which is the closest to -1/23? (a) -5 (b) 3/2 (c) 0.2 (d) -4118 c What is the nearest to 814 in -3/7, 367, 35? 367 What is the closest to 2.4 in 1, -0.2, 2.41, 0.0006, -3/7? 2.41 What is the closest to -12 in 2, 0.5, -4, -3/157, 0? -4 What is the nearest to 43 in -2, -3, 4/783, -0.4? 4/783 Which is the nearest to -462? (a) -2/13 (b) 2 (c) -10683 (d) 0.4 a What is the nearest to 0.3 in 1.35, 3/7, 0.2, 2441? 0.2 What is the nearest to -3 in -0.1, 0.5, 4, -2214? -0.1 What is the nearest to 1.6 in -147, 293/2, -4/5, -0.1, 3? 3 What is the nearest to 0.1 in -5/9, -51, 2/21, -0.4? 2/21 Which is the nearest to 3? (a) -0.3 (b) 153.459 (c) 160 a What is the closest to -4844 in -1, 1/9, 7, -3, -4/7? -3 What is the closest to 0.1 in -9, 25, 1.81, -0.01, -2? -0.01 What is the nearest to -1/16 in 0.09, -1, 3/4, -1/108, -0.15, -2/11? -1/108 Which is the closest to 197? (a) -0.4 (b) -3 (c) 5 (d) 34647 c What is the nearest to 409 in -1/3, -5, -1.739, 2? 2 What is the closest to -0.2 in 1/22, -0.3, -1, 3/10, -0.047, -7/4? -0.3 What is the closest to 0.1 in 14, 101, -11089? 14 Which is the nearest to 6? (a) -4 (b) 1 (c) -0.6 (d) 14287 (e) 2 e What is the nearest to 3/5 in -147, 4, 6.73, 0.1, 0.3, -0.3? 0.3 What is the closest to 1 in -1.71, 6.04, -4/5, 1, 0? 1 Which is the closest to 1/84? (a) 1/5 (b) -1113/2 (c) 1/4 (d) 1/3 a Which is the nearest to 4/459? (a) 8.4 (b) 7 (c) -2/5 c Which is the nearest to 34446? (a) 0.2 (b) -0.09 (c) -0.1 a What is the closest to 1/3 in -3, -2/49, 2, -368, -1.5? -2/49 Which is the closest to -0.2? (a) -255.9 (b) -15 (c) 0.3 (d) -2/57 d What is the nearest to -1/4 in -240, 2, 4, -10, -23? 2 What is the nearest to 1 in 80.3775, -0.1, -11? -0.1 Which is the nearest to -0.63? (a) -1/4 (b) -1.8 (c) -0.117 (d) -1 d Which is the nearest to 16? (a) -2 (b) -1068 (c) -0.2 c What is the closest to -195 in -5, -17/29, 2/19, -4, 4? -5 Which is the closest to 0.18? (a) 1 (b) 2 (c) 181 (d) 57 a What is the closest to 0.5 in -2/15, 312/103, 3, -0.5, 4/5? 4/5 Which is the nearest to -2? (a) 2 (b) 3/23 (c) 5 (d) 23 (e) -0.345 e Which is the closest to 0.1? (a) 0.1 (b) 248704 (c) -28 a What is the nearest to 2200 in 2, -4, 1/774? 2 What is the nearest to -1779 in -0.7, 55, -1? -1 What is the nearest to 1/3 in 1522/11, 0.3, 2/9, 438, -4? 0.3 Which is the nearest to -3? (a) 11.6 (b) 1/2 (c) 5 (d) -0.1 (e) -0.4 (f) -734 e Which is the closest to -0.1? (a) -20 (b) -0.5 (c) 2/11 (d) -1/8 (e) 2 (f) -2.65 d What is the closest to -5/12 in 3, -25, 0.29, 8.8? 0.29 Which is the nearest to -1/5? (a) -14 (b) 21/64 (c) -7 (d) -0.2 d What is the closest to -1/11 in 0.47, 2/37, -12? 2/37 What is the closest to 2/5 in 2/9, -0.16, 3335, -0.4, -1? 2/9 Which is the nearest to -2/3? (a) -1.368 (b) -9 (c) -6 (d) 1/14 a What is the nearest to 1/2 in -3, 14, 281/19, -0.02, -1? -0.02 What is the nearest to -2.06 in -2.8, -8, -0.0477? -2.8 What is the closest to -12/6661 in 0, -0.3, -0.16, 2/5? 0 What is the closest to 0 in -0.4, 160, 820, 3, -0.5? -0.4 What is the closest to 1/2 in 17, 341, -7, 0.2? 0.2 Which is the nearest to 186/5? (a) -1800 (b) -0.3 (c) 2 c Which is the nearest to 2? (a) -1/5 (b) -1/51 (c) -292 b Which is the closest to 1/67? (a) 3 (b) -1 (c) -22 (d) -14 b What is the nearest to -2/4
{ "pile_set_name": "DM Mathematics" }