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- 1)*(q + 1)*(5*q + 2)/2
Let x = -41 + 62. Let y(k) = -7*k**2 + 13*k - 2. Let r(d) = -36*d**2 + 66*d - 9. Let s(i) = x*y(i) - 4*r(i). Factor s(z).
-3*(z - 2)*(z - 1)
Factor 107 + 4*z**2 + 19*z + 9*z - 30 - 29.
4*(z + 3)*(z + 4)
What is m in 1/5*m**4 + 0*m + 0 - 1/5*m**5 + 4/5*m**3 - 4/5*m**2 = 0?
-2, 0, 1, 2
Suppose -3*z - 2*y + 9 = 0, 3*z = 6*y - 10*y + 9. Determine l so that 3/4*l**z + 3/2 - 3/8*l**4 - 3*l + 9/8*l**2 = 0.
-2, 1, 2
Let v(a) be the second derivative of a**8/3780 + a**7/405 - 31*a**6/6480 + a**5/270 + 7*a**4/12 - 9*a. Let y(q) be the third derivative of v(q). Factor y(z).
(z + 4)*(4*z - 1)**2/9
Let a be 3 + 44 + -4 - -1. Let y = -41 + a. Factor 3/2*l + 3/2*l**2 + 0 - 3/2*l**y - 3/2*l**4.
-3*l*(l - 1)*(l + 1)**2/2
Suppose -43/6*k - 1/6*k**2 + 22/3 = 0. Calculate k.
-44, 1
Let n = -5129 + 5132. Suppose 16/7*g + 12/7*g**n + 0 - 24/7*g**2 - 2/7*g**4 = 0. What is g?
0, 2
Find c, given that -20/7*c + 24/7 - 4/7*c**2 = 0.
-6, 1
Let r be 1/(-3) - ((-1388)/(-12) - 5). Let q = -109 - r. Solve 0*k**3 - 1/6*k**4 + 0 + 1/3*k + 1/2*k**q = 0 for k.
-1, 0, 2
Let m(r) be the third derivative of 0 - 1/15*r**6 + 2/105*r**7 + 5*r**2 + 0*r + 0*r**4 + 1/15*r**5 + 0*r**3. Factor m(u).
4*u**2*(u - 1)**2
Let l(z) be the third derivative of z**8/10080 + z**7/630 + z**6/90 - 7*z**5/60 - 16*z**2. Let u(y) be the third derivative of l(y). Factor u(x).
2*(x + 2)**2
Let o(r) be the first derivative of -r**7/273 - 2*r**6/65 - r**5/10 - 2*r**4/13 - 4*r**3/39 - 23*r + 12. Let p(j) be the first derivative of o(j). Factor p(m).
-2*m*(m + 1)**2*(m + 2)**2/13
Let i(r) be the third derivative of 1/40*r**6 - r**3 + 2*r**2 + 0*r + 3/20*r**5 - 1/70*r**7 + 0 - 1/8*r**4. Factor i(q).
-3*(q - 2)*(q - 1)*(q + 1)**2
Let l(p) be the first derivative of -1331*p**4/8 - 242*p**3 - 132*p**2 - 32*p - 89. Solve l(z) = 0 for z.
-4/11
Let s be (-24)/(-9)*18/3. Let q = -12 + s. Solve 3*p**5 - 6*p**3 + 2*p**4 + 3 + 3*p + p**q + 0 - 6*p**2 + 0*p**4 = 0 for p.
-1, 1
Factor 32/3 - 8/3*r - 20/3*r**2 - 4/3*r**3.
-4*(r - 1)*(r + 2)*(r + 4)/3
Factor 54*j - 23*j**2 + 195 + 534 + 24*j**2.
(j + 27)**2
Let z(v) = 4*v**2 - 222*v - 14636. Let x(n) = -n**2 - 4*n - 1. Let f(a) = 10*x(a) + 2*z(a). Suppose f(l) = 0. What is l?
-121
Let b = -8882/5 + 1777. Let i(f) be the second derivative of -6*f**2 + 0 + 2*f + 3/4*f**4 + 2*f**3 - b*f**5 + 1/10*f**6. Determine h, given that i(h) = 0.
-1, 1, 2
Factor -36 - 61/4*y**2 + 159/2*y + 1/2*y**3.
(y - 24)*(y - 6)*(2*y - 1)/4
Let r(v) be the third derivative of v**6/12 - v**5/10 - v**4/6 + 2*v**2 - 63. Factor r(d).
2*d*(d - 1)*(5*d + 2)
Let i(p) be the second derivative of p**10/15120 + p**9/7560 - p**8/3360 - p**7/1260 + p**4/6 - 14*p. Let y(q) be the third derivative of i(q). Factor y(u).
2*u**2*(u - 1)*(u + 1)**2
Suppose 0 = 50*b - 134*b + 156 + 516. Factor -b*c - 4/3*c**2 + 28/3.
-4*(c - 1)*(c + 7)/3
Let o(l) = -3*l**2 + 102*l - 774. Let u(a) = -9*a**2 + 305*a - 2321. Let x(r) = -17*o(r) + 6*u(r). Let x(d) = 0. Calculate d.
16
Let v(j) be the first derivative of j**3/8 - 21*j**2/8 + 20. Determine k so that v(k) = 0.
0, 14
Let l(w) = -w**2 - 13*w + 3. Let v be l(-12). Factor 3 + 18*s**2 - v - 15*s - 21*s**2.
-3*(s + 1)*(s + 4)
Factor -17*a**3 + 8025*a**4 - 7*a**3 + 13*a**2 - 32*a - 8021*a**4 + 35*a**2.
4*a*(a - 2)**3
Let z(f) = f**4 - f**2 - f - 2. Let t(h) = 4*h**4 - 24*h**3 + 70*h + 36. Let s(i) = t(i) - 6*z(i). Factor s(d).
-2*(d - 2)*(d + 1)**2*(d + 12)
Factor 3/7*o**4 - 12/7*o + 0 + 0*o**2 + 9/7*o**3.
3*o*(o - 1)*(o + 2)**2/7
Let i(p) = -3*p**3 - 3*p**2 + 9*p + 18. Let u(z) = -6*z**3 - 7*z**2 + 20*z + 36. Let n(a) = -5*i(a) + 3*u(a). Factor n(w).
-3*(w - 2)*(w + 1)*(w + 3)
Let d(v) = 15*v**4 + 15*v**3 - 98*v**2 - 195*v - 97. Let q(o) = 5*o**4 + 5*o**3 - 33*o**2 - 65*o - 32. Let h(y) = -2*d(y) + 7*q(y). Factor h(c).
5*(c - 3)*(c + 1)**2*(c + 2)
Let u(p) be the first derivative of -4/21*p**3 + 0*p**5 + 1/2*p**4 + 0*p - 3/7*p**6 + 0*p**2 + 12. What is s in u(s) = 0?
-1, 0, 1/3, 2/3
Let 18/5*h**2 + 13/5*h**3 - 4/5*h - 4/5*h**4 - 3/5*h**5 - 8/5 = 0. Calculate h.
-2, -1, 2/3, 2
Let w = 61303 - 428034/7. Let h = -155 + w. Let h*q**3 + 0*q**2 - 2/7*q + 0 = 0. What is q?
-1, 0, 1
Let s be 3/((-3)/15 + (-13)/10). Let j be (-1)/s + (-6 - (-206)/36). Factor 4/9*g - j*g**2 - 2/9.
-2*(g - 1)**2/9
Let h(i) be the first derivative of i**6/42 - i**5/35 - 2*i**4/7 + 4*i**3/7 + 38. Factor h(c).
c**2*(c - 2)**2*(c + 3)/7
Find i, given that -6/5*i**2 - 2/5*i**3 + 2/5*i**4 + 4/5 + 2/5*i = 0.
-1, 1, 2
Let g = -1/633 - -427/3165. Let k(h) be the second derivative of 7*h + 0*h**3 - 1/3*h**4 + 0*h**2 + 0*h**5 + g*h**6 + 0. Solve k(m) = 0 for m.
-1, 0, 1
Let l(f) be the first derivative of -f**6/24 - 3*f**5/20 + f**3/3 + 28. Solve l(a) = 0 for a.
-2, 0, 1
Let r = 34 - 31. Solve 3*b - 3*b + 0*b**3 + b**2 + b**r = 0.
-1, 0
Find v, given that 0 + 56/3*v + 188/3*v**4 - 104/3*v**2 + 10*v**5 - 170/3*v**3 = 0.
-7, -2/3, 0, 2/5, 1
Suppose 0 = 3*q - c - 5, -39 + 29 = -3*q - 4*c. Suppose -16/7*s**q + 16/7*s + 0 + 4/7*s**3 = 0. What is s?
0, 2
Factor 37/3*v + 1/6*v**2 + 1369/6.
(v + 37)**2/6
Let -775*c**2 - 40*c + 386*c**2 - 100 + 385*c**2 = 0. Calculate c.
-5
Suppose -5*n = 2*z - 85, 4*z - 7*n + 2*n - 185 = 0. Let w = 47 - z. Factor -1/2*f**5 + w - 4*f + 1/2*f**2 - 1/2*f**4 + 5/2*f**3.
-(f - 1)**3*(f + 2)**2/2
Let t(a) = -2*a**2 + 27*a + 7. Let d(u) = -u**2 + u. Let l(m) = -5*d(m) + t(m). Suppose l(n) = 0. Calculate n.
-7, -1/3
Let p(t) be the second derivative of 7/2*t**3 + 33*t + 0 - 2/5*t**6 + 3*t**2 + 3/4*t**4 - 6/5*t**5. Suppose p(j) = 0. What is j?
-2, -1/2, 1
Let m = 184/27 + -812/135. Determine w, given that -32/5*w - 4/5*w**5 - m*w**4 + 16/5 + 4/5*w**2 + 4*w**3 = 0.
-2, 1
Let q(m) be the first derivative of 0*m**3 + 5 - 1/27*m**4 + 1/30*m**5 - 2*m - 1/135*m**6 + 0*m**2. Let b(g) be the first derivative of q(g). Factor b(t).
-2*t**2*(t - 2)*(t - 1)/9
Let n(x) be the first derivative of 2/3*x**3 - x**2 + 0*x - 8. Factor n(k).
2*k*(k - 1)
Suppose 20 = -5*d + 19*w - 14*w, -5*w + 44 = 3*d. Factor -9/4*o**5 - 3/2*o + 0 + 33/4*o**4 - 45/4*o**d + 27/4*o**2.
-3*o*(o - 1)**3*(3*o - 2)/4
Let n(q) be the second derivative of -q**6/10 - 9*q**5/20 + 5*q**4/4 + 3*q**3/2 - 6*q**2 + 12*q - 1. Suppose n(l) = 0. Calculate l.
-4, -1, 1
Suppose -4*p = -139 + 1199. Let b = p + 531/2. Factor -b*l + 0 + 1/2*l**2.
l*(l - 1)/2
Find d, given that 3*d**5 + 232*d**3 + 238*d**3 - 43 - 51*d**2 + 15*d**4 - 27*d - 461*d**3 + 7 - 57*d = 0.
-3, -2, -1, 2
Let -1/9*x**3 + 0 - 1/9*x**2 + 2/9*x = 0. Calculate x.
-2, 0, 1
Let v be (3 - (-1 + -1)) + 3. Let f be (v/6)/(9/54). Factor 5*z**2 + 5*z + f - 3*z**2 - 2*z + 5*z.
2*(z + 2)**2
Let g(o) be the third derivative of 2*o**7/315 + 2*o**6/45 - 2*o**5/45 - 2*o**4/3 + 2*o**3 - 2*o**2 + 10*o. Solve g(i) = 0.
-3, 1
Suppose 3*d = -6*h + 10*h + 4, 3*d = 5*h + 2. Let q(k) be the first derivative of 10 + 3/14*k**h - 2/7*k + 2/21*k**3. Find i such that q(i) = 0.
-2, 1/2
Let x(a) be the second derivative of -2/75*a**6 + 0*a**2 + 0 + 2/15*a**3 - 1/5*a**4 - 36*a + 3/25*a**5. Factor x(l).
-4*l*(l - 1)**3/5
Let a(v) = 3*v + 17. Let o be a(-5). Let 2*p**2 + p**2 - 5*p**o - 2*p + 2 + 2*p**3 = 0. Calculate p.
-1, 1
Let f = 719/42 + -221/14. Find g, given that 0*g - 4/3*g**5 + 0*g**4 + f*g**3 + 0*g**2 + 0 = 0.
-1, 0, 1
Let m(s) be the third derivative of -s**9/30240 + s**8/4480 - s**7/2520 - 11*s**4/24 + 9*s**2. Let i(n) be the second derivative of m(n). What is f in i(f) = 0?
0, 1, 2
Let i(y) be the first derivative of -10*y - 5/8*y**4 - 25/6*y**3 - 10*y**2 + 16. Factor i(k).
-5*(k + 1)*(k + 2)**2/2
Let g(l) be the third derivative of 1/315*l**7 + 0*l**3 - 1/60*l**6 + 0 - 1/18*l**4 + 1/504*l**8 + 0*l - 13*l**2 - 1/18*l**5. Find r such that g(r) = 0.
-1, 0, 2
Let i(d) be the third derivative of d**8/60480 - d**7/2520 + d**6/432 - 4*d**5/15 + 7*d**2. Let g(m) be the third derivative of i(m). Factor g(y).
(y - 5)*(y - 1)/3
Let j be -2*1*91/(-637). Let 4/7 + 2/7*t**3 - 2/7*t + j*t**4 - 6/7*t**2 = 0. What is t?
-2, -1, 1
Factor -36*u**2 + 505*u - 2*u**3 - 21 - 535*u + 89.
-2*(u - 1)*(u + 2)*(u + 17)
Let g(w) be the third derivative of -1/45*w**5 - 1/180*w**6 + 1/36*w**4 + 0 - 14*w**2 + 2/9*w**3 + 0*w. Let g(i) = 0. What is i?
-2, -1, 1
Let v(l) = -l**2 - 80*l - 576. Let b be v(-8). Factor | {
"pile_set_name": "DM Mathematics"
} |
2, -8203, -9920?
67*h**2 - 2320*h + 5
What is the h'th term of -30535, -61067, -91599, -122131, -152663, -183195?
-30532*h - 3
What is the o'th term of 1752, 3386, 4994, 6564, 8084?
-2*o**3 - o**2 + 1651*o + 104
What is the p'th term of 581, 3651, 11689, 27179, 52605, 90451?
414*p**3 + 172*p - 5
What is the m'th term of -62, -148, -328, -650, -1162, -1912, -2948?
-8*m**3 + m**2 - 33*m - 22
What is the y'th term of 3021819, 3021818, 3021817?
-y + 3021820
What is the c'th term of 1115898, 1115897, 1115896, 1115895, 1115894?
-c + 1115899
What is the p'th term of 26019, 104062, 234149, 416292, 650503, 936794, 1275177, 1665664?
2*p**3 + 26010*p**2 - p + 8
What is the b'th term of 2273, 2292, 2337, 2420, 2553?
2*b**3 + b**2 + 2*b + 2268
What is the k'th term of -400417, -400410, -400401, -400390, -400377, -400362, -400345?
k**2 + 4*k - 400422
What is the z'th term of 28, 144, 262, 382, 504, 628?
z**2 + 113*z - 86
What is the p'th term of 72870, 72857, 72810, 72711, 72542, 72285?
-3*p**3 + p**2 + 5*p + 72867
What is the w'th term of -9301, -9349, -9393, -9433, -9469, -9501?
2*w**2 - 54*w - 9249
What is the p'th term of 12916, 12925, 12940, 12961, 12988?
3*p**2 + 12913
What is the u'th term of 68730, 274861, 618412, 1099383, 1717774, 2473585, 3366816?
68710*u**2 + u + 19
What is the i'th term of 36, 157, 342, 585, 880, 1221, 1602, 2017?
-i**3 + 38*i**2 + 14*i - 15
What is the w'th term of -1482, -1674, -1854, -2016, -2154, -2262, -2334, -2364?
w**3 - 199*w - 1284
What is the m'th term of 23030, 23028, 23024, 23018, 23010, 23000, 22988?
-m**2 + m + 23030
What is the o'th term of 1337, 61, -1217, -2497, -3779, -5063?
-o**2 - 1273*o + 2611
What is the s'th term of -1303, -5213, -11735, -20875, -32639?
-s**3 - 1300*s**2 - 3*s + 1
What is the w'th term of 895, 3481, 7797, 13849, 21643?
w**3 + 859*w**2 + 2*w + 33
What is the g'th term of 374, 722, 1028, 1274, 1442, 1514, 1472?
-3*g**3 - 3*g**2 + 378*g + 2
What is the z'th term of 50759, 50756, 50753, 50750, 50747?
-3*z + 50762
What is the v'th term of -181, -79, 23, 125, 227?
102*v - 283
What is the g'th term of 812, 861, 902, 935?
-4*g**2 + 61*g + 755
What is the q'th term of 1109, 1142, 1227, 1388, 1649, 2034, 2567?
4*q**3 + 2*q**2 - q + 1104
What is the i'th term of 1147, 1179, 1231, 1303, 1395?
10*i**2 + 2*i + 1135
What is the k'th term of 3158, 3095, 2984, 2819, 2594?
-k**3 - 18*k**2 - 2*k + 3179
What is the d'th term of -1208, -2391, -3574, -4757, -5940?
-1183*d - 25
What is the n'th term of -89, -228, -427, -698, -1053, -1504?
-2*n**3 - 18*n**2 - 71*n + 2
What is the h'th term of -1089, -4375, -9847, -17499, -27325, -39319, -53475, -69787?
h**3 - 1099*h**2 + 4*h + 5
What is the p'th term of -382314, -764627, -1146940?
-382313*p - 1
What is the c'th term of -966, -1054, -1142?
-88*c - 878
What is the u'th term of 4072, 4058, 4034, 4000, 3956, 3902?
-5*u**2 + u + 4076
What is the r'th term of 643, 1447, 2415, 3547, 4843?
82*r**2 + 558*r + 3
What is the j'th term of 46654, 46653, 46652?
-j + 46655
What is the v'th term of 246, 441, 592, 699, 762?
-22*v**2 + 261*v + 7
What is the l'th term of 68, 218, 440, 734, 1100, 1538?
36*l**2 + 42*l - 10
What is the b'th term of -126041, -126035, -126025, -126011?
2*b**2 - 126043
What is the f'th term of 213, 952, 2181, 3900, 6109?
245*f**2 + 4*f - 36
What is the s'th term of -998, -1025, -1052, -1079, -1106, -1133?
-27*s - 971
What is the y'th term of -13717, -27432, -41147?
-13715*y - 2
What is the r'th term of -45391, -90783, -136175, -181567, -226959?
-45392*r + 1
What is the p'th term of -52219, -104438, -156655, -208870, -261083?
p**2 - 52222*p + 2
What is the s'th term of 1327, 5313, 11957, 21259, 33219?
1329*s**2 - s - 1
What is the p'th term of 2222, 2152, 2024, 1838, 1594, 1292, 932?
-29*p**2 + 17*p + 2234
What is the p'th term of -900, -909, -918?
-9*p - 891
What is the h'th term of -278, -317, -352, -383, -410, -433?
2*h**2 - 45*h - 235
What is the b'th term of -696, -1381, -2062, -2739, -3412, -4081?
2*b**2 - 691*b - 7
What is the a'th term of -10032, -20085, -30138?
-10053*a + 21
What is the k'th term of 47, 65, 69, 59, 35, -3?
-7*k**2 + 39*k + 15
What is the k'th term of 485, 1317, 2499, 4031?
175*k**2 + 307*k + 3
What is the h'th term of 2009, 2366, 2961, 3794, 4865, 6174?
119*h**2 + 1890
What is the f'th term of 1376, 1310, 1244, 1178, 1112?
-66*f + 1442
What is the s'th term of -396, -444, -566, -798, -1176, -1736, -2514?
-6*s**3 - s**2 - 3*s - 386
What is the c'th term of -3456, -3432, -3408, -3384?
24*c - 3480
What is the l'th term of 4612, 9247, 13884, 18523?
l**2 + 4632*l - 21
What is the i'th term of 1348, 5054, 11240, 19912, 31076, 44738, 60904?
i**3 + 1234*i**2 - 3*i + 116
What is the p'th term of 218808, 218810, 218812, 218814, 218816, 218818?
2*p + 218806
What is the l'th term of 239670, 239669, 239668, 239667?
-l + 239671
What is the d'th term of 7081, 7162, 7243, 7324?
81*d + 7000
What is the v'th term of 375, 1470, 3287, 5820, 9063, 13010, 17655?
-v**3 + 367*v**2 + v + 8
What is the c'th term of 1201, 1193, 1167, 1111, 1013?
-2*c**3 + 3*c**2 - 3*c + 1203
What is the b'th term of -18286, -18286, -18278, -18256, -18214, -18146, -18046?
b**3 - 2*b**2 - b - 18284
What is the z'th term of 406, 435, 452, 451, 426?
-z**3 + 36*z + 371
What is the t'th term of 2002, 4259, 6516, 8773, 11030?
2257*t - 255
What is the k'th term of 724, 1515, 2378, 3313?
36*k**2 + 683*k + 5
What is the p'th term of -1038140, -2076276, -3114412, -4152548?
-1038136*p - 4
What is the s'th term of -1181, -2343, -3489, -4619, -5733, -6831?
8*s**2 - 1186*s - 3
What is the y'th term of 69, 167, 331, 561?
33*y**2 - y + 37
What is the z'th term of -2153, -4225, -6295, -8363, -10429?
z**2 - 2075*z - 79
What is the j'th term of 2485, 9919, 22289, 39577, 61765, 88835, 120769?
-3*j**3 + 2486*j**2 - 3*j + 5
What is the x'th term of 2818, 2824, 2828, 2830?
-x**2 + 9*x + 2810
What is the x'th term of 4572, 4569, 4566, 4563, 4560?
-3*x + 4575
What is the p'th term of 386, 492, 600, 710, 822, 936, 1052?
p**2 + 103*p + 282
What is the o'th term of 37, 291, 969, 2275, 4413, 7587?
34*o**3 + 8*o**2 - 8*o + 3
What is the g'th term of -2295, -4593, -6869, -9111, -11307, -13445, -15513?
2*g**3 - g**2 - 2309*g + 13
What is the d'th term of 442, 446, 450?
4*d + 438
What is the f'th term of -5440, -10455, -15482, -20527, -25596, -30695?
-f**3 - 5008*f - 431
What is the w'th term of -276, -2131, -7142, -16887, -32944, -56891?
-263*w**3 - 14*w + 1
What is the i'th term of -2208, -4294, -6380, -8466?
-2086*i - 122
What is the h'th term of -127, -652, -1527, -2752, -4327, -6252?
-175*h**2 + 48
What is the w'th term of 383649, 767300, 1150953, 1534608, 1918265, 2301924?
w**2 + 383648*w
What is the d'th term of 799, 1662, 2525, 3388, 4251?
863*d - 64
What is the j'th term of -86, -426, -768, -1112?
-j**2 - 337*j + 252
What is the c'th term of 1472, 2923, 4370, 5813?
-2*c**2 + 1457*c + 17
What is the p'th term of 18700, 18726, 18768, 18826?
8*p**2 + 2*p + 18690
What is the r'th term of -379, -3030, -10261, -24364, -47631, -82354, -130825, -195336?
-382*r**3 + 2*r**2 + 17*r - 16
What is the n'th term of 355, 738, 1125, 1516, 1911?
2*n**2 + 377*n - 24
What is the a'th term of -33, -436, -1613, -3960, -7873, -13748?
-66*a**3 + 9*a**2 + 32*a - 8
What is the a'th term of -1393, -1658, -2101, -2722, -3521, -4498?
-89*a**2 + 2*a - 1306
What is the v'th term of -40557, -81097, -121627, -162147, -202657?
5*v**2 - 40555*v - 7
What is the h'th term of -5323, -5338, -5361, -5392, -5431, -5478, -5533?
-4*h**2 - 3*h - 5316
What is the f'th term of -110514, -110512, -110510?
2*f - 110516
What is the t'th term of 4633, 4626, 4605, 4564, 4497, 4398?
-t**3 - t**2 + 3*t + 4632
What is the r'th term of -637, -615, -567, -487, -369, -207, 5, 273?
r**3 + 7*r**2 - 6*r - 639
What is the c'th term of -5949, -11893, -17825, -23739, -29629, -35489?
c**3 - 5951*c + 1
What is the i'th term of 2420, 4794, 7170, 9548, 11928, 14310?
i**2 + 2371*i + 48
What is the z'th term of 1937, 4095, 6253?
2158*z - 221
What is the i'th term of -19132, -38264, -57396, -76528?
-19132*i
What is the y'th term of -37, -91, -163, -253, -361?
-9*y**2 - 27*y - 1
What is the x'th term of 390, 865, 1340?
475*x - 85
What is the n'th term of 6252, 124 | {
"pile_set_name": "DM Mathematics"
} |
11)*k*k/(k/k**3*k)*k) assuming k is positive.
k**(-42/11)
Simplify ((d/(d**(-2)/d))**(-2/119))**(-1/2) assuming d is positive.
d**(4/119)
Simplify (f*f*f/(f/((f**10*f)/f))*(f**(2/7)/f)/f)**29 assuming f is positive.
f**(2088/7)
Simplify s*s**19*s*s**(-2/15) assuming s is positive.
s**(313/15)
Simplify (k**(4/3)/k)**(-3) assuming k is positive.
1/k
Simplify (v**(3/8))**(-1/5) assuming v is positive.
v**(-3/40)
Simplify (v**(-13/3))**(-1/50) assuming v is positive.
v**(13/150)
Simplify (w/(w*w/(w*w**(-1/22))*w))**(-28) assuming w is positive.
w**(322/11)
Simplify b/(b/(b/b**(-11)))*b*b**(4/7) assuming b is positive.
b**(95/7)
Simplify ((y/(y*y/(y*y**(-3))*y))**31)**30 assuming y is positive.
y**(-3720)
Simplify (i**(-1/4)*i*i)**(2/11)/(i/(i/i**3)*i/(i/((i*(i*i**(-1/3)*i)/i*i)/i))*i*i*i) assuming i is positive.
i**(-485/66)
Simplify (r/(r/r**0))**(-35) assuming r is positive.
1
Simplify w*(w**(-1/5)/w*w)/w*w**(-4/7)*w**(2/7)/w**(-1/2) assuming w is positive.
w**(1/70)
Simplify (n/(n/n**(-6))*n)/n**(-13) assuming n is positive.
n**8
Simplify (((a/(a*a**(1/2)/a*a))/a)/a)**(-12)*(a/(a*a**(-1)*a))/(a/(a/a**4)*a) assuming a is positive.
a**25
Simplify w**(-1)*w**(-3/5)*(w/(w*w**2/w))**(-23) assuming w is positive.
w**(107/5)
Simplify (r/r**(2/13))**22 assuming r is positive.
r**(242/13)
Simplify b**(-2/27)*(b/((b**1/b)/b)*b)/b assuming b is positive.
b**(52/27)
Simplify ((i/(i*((i**(2/3)/i)/i)/i))/i*i**(-2))**(-8/9) assuming i is positive.
i**(16/27)
Simplify x**(-15)*x**(-17) assuming x is positive.
x**(-32)
Simplify ((j/(j*j*j**(-7)))/j**4)/(j/(j*j/j**2*j)*j)**21 assuming j is positive.
j**(-19)
Simplify (c*c/((c*c**(-2/3))/c))**(-1/2)/((c/c**(-1/4))/c*c)**(-15/7) assuming c is positive.
c**(113/84)
Simplify p**(-3/2)*p**(-6)*(p/(p/(p/(p*p**0*p))))/p*p**(-4/3) assuming p is positive.
p**(-65/6)
Simplify y**(-15/4)/y**36 assuming y is positive.
y**(-159/4)
Simplify n/(n/((n**19/n)/n))*n*n*n*n**36*n assuming n is positive.
n**57
Simplify (y*(y/(y*y**(4/7)))/y*y*y**(-2)/y)/(y**1/y)**32 assuming y is positive.
y**(-18/7)
Simplify (d*d*(d*d**(-2/33))/d)/d**5 assuming d is positive.
d**(-101/33)
Simplify m/m**(2/11)*m*m*m/m**(5/4)*m*m*m*(m*m**(-5)*m)/(m/(m*m**(1/3))) assuming m is positive.
m**(383/132)
Simplify ((n**(-1/2)*n*n)/n)**(-32)/(n*n**(1/8)*n/(n/(n*n**(-3)))*n*n) assuming n is positive.
n**(-137/8)
Simplify ((n/n**(-1/4))/n**(-9))**30 assuming n is positive.
n**(615/2)
Simplify i**(-2/3)*i*i*i*i**1 assuming i is positive.
i**(10/3)
Simplify (p/(p/(((p*p**0)/p)/p)))/p**5*(p**(-2/7))**(4/5) assuming p is positive.
p**(-218/35)
Simplify (v**(-6)*v**7)**(-1/3) assuming v is positive.
v**(-1/3)
Simplify (z*z**(1/2))**(-21)/(z*z/(z*(z**4*z*z*z)/z)*z**0) assuming z is positive.
z**(-53/2)
Simplify (n/((n/n**(4/19))/n))/(n*n**(4/7)/n*n) assuming n is positive.
n**(-48/133)
Simplify (w**(2/7)/w)**(-23)/((w*w*w*w**(-4)*w)/(w/w**(1/5))) assuming w is positive.
w**(603/35)
Simplify (d/(d*(d/(d**(-3)/d))/d)*d)/((((d*d**(2/3))/d)/d)/d)*(d*d**3*d)/d**(-1/11) assuming d is positive.
d**(113/33)
Simplify (y/y**(-9))/y*(y*(y/(y**(-2/29)*y))/y*y)/y*y*y**(-8)*y**2*y*y assuming y is positive.
y**(176/29)
Simplify (g**12*g)/(g*g*g*g/g**(1/4)) assuming g is positive.
g**(37/4)
Simplify n*n**29*n**(-5) assuming n is positive.
n**25
Simplify (z/(z/z**(-4/5)*z))**(-11/4) assuming z is positive.
z**(99/20)
Simplify (h**(-3/5)*h**(2/19))/((h**(-1/6)*h)/h**1) assuming h is positive.
h**(-187/570)
Simplify (p**(-6/5))**(-13) assuming p is positive.
p**(78/5)
Simplify (q**(-5)*q/q**(4/7))/(((q/(q**(-4/5)*q))/q)/q**(-1/5)) assuming q is positive.
q**(-32/7)
Simplify (l**(1/2)/l)**(2/43)*((l/l**(2/11)*l)/l)/(l*l**(2/11)) assuming l is positive.
l**(-183/473)
Simplify ((m*m*m**(3/7)/m)/m**(1/3))**(5/6) assuming m is positive.
m**(115/126)
Simplify (b**0)**(-16)*b/(b**(2/7)/b)*b*b*b*b**(-1/5) assuming b is positive.
b**(158/35)
Simplify (p/(p*(p*p**(-3/28))/p))/(p/p**17) assuming p is positive.
p**(451/28)
Simplify (p*p**0)**(2/155)/(p**(-1/5)/(p**(-3/5)*p*p)) assuming p is positive.
p**(50/31)
Simplify (s/s**1)**(-5)*s/(s**(-1)*s*s)*s/s**6 assuming s is positive.
s**(-5)
Simplify (h*h**(-7/5))/h**(-8/5) assuming h is positive.
h**(6/5)
Simplify (w**(-6))**(-18) assuming w is positive.
w**108
Simplify p**(-3)*p*p**(-3/10) assuming p is positive.
p**(-23/10)
Simplify q**6/q*(q**(1/8)/q)/q*(q/(q*q*q**(2/7)))**(-3/5) assuming q is positive.
q**(1091/280)
Simplify (f*(f/(f**0/f))/f)**33/((f*((f**(-3)*f)/f)/f*f)/f**(-6)) assuming f is positive.
f**62
Simplify (y**(-2/9)/(y**(-7)*y))**(-13) assuming y is positive.
y**(-676/9)
Simplify (c**(-4/5))**(4/21) assuming c is positive.
c**(-16/105)
Simplify (m/(m*(m**(-2/25)*m)/m*m*m))/(m*m/m**4) assuming m is positive.
m**(2/25)
Simplify (f/f**(2/65))/(f/f**(13/5)) assuming f is positive.
f**(167/65)
Simplify (u**(-2/7))**(-35) assuming u is positive.
u**10
Simplify ((u*u**(-5/3))/u**8)**(4/7) assuming u is positive.
u**(-104/21)
Simplify b**9/b**(-6)*b**(-2/11)/b*b*b*b*b*b/(b*b**(2/7)/b)*b*b assuming b is positive.
b**(1581/77)
Simplify ((r**3)**(-6/5))**(3/11) assuming r is positive.
r**(-54/55)
Simplify (r**13/(r/(((r*r**(1/25))/r)/r)))**(-7) assuming r is positive.
r**(-1932/25)
Simplify (r**(2/31)*r*r/(r**(-1/3)*r))/(r*r**(-1/7)*r**(-7)/r) assuming r is positive.
r**(5560/651)
Simplify r**(-3)*r*r/r**(-9)*r*r assuming r is positive.
r**10
Simplify (y*y**(3/2))**(-2)*y**0*(y*y/(((y*(y/(y/y**(2/11)))/y)/y)/y)*y*y)/y assuming y is positive.
y**(-2/11)
Simplify k*k**(-25)*k/((k**42*k*k*k)/k) assuming k is positive.
k**(-67)
Simplify v**(2/19)*v*v**(2/3)/v assuming v is positive.
v**(44/57)
Simplify p*p**(-2/9)*p**(-4/5)*p**2*p/p**(1/3) assuming p is positive.
p**(119/45)
Simplify (r**(-3/8)/(r*r**(-2/9)))/(r/(r*(r**(-2/7)*r)/r*r))**(-3/4) assuming r is positive.
r**(-851/504)
Simplify i**9/(i*i**(-2/17)/i)*(i/(i/i**1))**(-35) assuming i is positive.
i**(-440/17)
Simplify (b**(-1)*b*b**(4/3))**(3/4) assuming b is positive.
b
Simplify d**(3/11)/d**2 assuming d is positive.
d**(-19/11)
Simplify n**(-4/9)/(n/(n*n**(-15)*n*n)*n*n) assuming n is positive.
n**(-139/9)
Simplify (f**14/f**(-3/10))**(-4) assuming f is positive.
f**(-286/5)
Simplify (j**(1/5))**(-4)*(j/j**(-2/7))**(3/10) assuming j is positive.
j**(-29/70)
Simplify ((g/g**(-16))/g*g)**(-40) assuming g is positive.
g**(-680)
Simplify (r/(r/((r/r**(-2))/r)))**(-8/15) assuming r is positive.
r**(-16/15)
Simplify k*k**(-5/3)*k*k**(-4/13) assuming k is positive.
k**(1/39)
Simplify (t*(t*t/(t*(t**(-1/11)*t)/t))/t*t)/t**(-1/8) assuming t is positive.
t**(195/88)
Simplify (o/(o/((o*o/(o*o*o*o/(o*o*o/(o**13*o*o*o))*o))/o)*o)*o**(-1/4))**31 assuming o is positive.
o**(-2263/4)
Simplify (f**1*f*(f/(f/(f**4/f)))/f*f)/(f**3/(f*(f/((((f/f**(-3/7))/f)/f)/f))/f)) assuming f is positive.
f**(32/7)
Simplify (h/(h**(1/4)*h))**(24/11)/(h/h**1*h**(-3)) assuming h is positive.
h**(27/11)
Simplify c/(c**(-31)*c)*c/(c/(c*c/c**(-1)*c*c*c*c)*c) assuming c is positive.
c**37
Simplify (j*j/j**(4/3)*j*j**(13/4))**(5/18) assuming j is positive.
j**(295/216)
Simplify ((y/(y/(((y/y**(-2/13))/y)/y)))/y**(-7))/(y*y**3*y*y*y*y**6) assuming y is positive.
y**(-89/13)
Simplify ((a**(-3))**(6/25))**(-1/29) assuming a is positive.
a**(18/725)
Simplify (h**(-1)*h)**(-37)*(h**(-1))**(3/8) assuming h is positive.
h**(-3/8)
Simplify ((q**(10/7)*q)/q**(-2/17))**(-11) assuming q is positive.
q**(-3333/119)
Simplify a**(-2/3)/(a*a**(-21)*a) assuming a is positive.
a**(55/3)
Simplify (p*p**1)**(1/4)*(p**1)**(-1/89) assuming p is positive.
p**(87/178)
Simplify b**(-1/10)*b*b**1 assuming b is positive.
b**(19/10)
Simplify ((f/f**(2/7))/f*f/(f/f**(-5)))**(9/4) assuming f is positive.
f**(-333/28)
Simplify ((v*v**(-2/3)*v)/v*v*v**(-5))/((v**(-2/3)*v)/v**(2/5)) assuming v is positive.
v**(-18/5)
Simplify (x/(x**(-1)*x))**(-41)/(x**(2/5)/x*x)**(1/9) assuming x is positive.
x**(-1847/45)
Simplify a**24/a**(-29) assuming a is positive.
a**53
Simplify (f*f**(2/3))**(-24)*f**(1/3)*f*f**3 assuming f is positive.
f**(-107/3)
Simplify (k/(((k*k**1)/k)/k))/k**(-1/2)*(k/(k**(-6)*k*k))/(k/k**7) assuming k is positive.
k**(25/2)
Simplify (o/o**(1/2))**18 assuming o is positive.
o**9
Simplify (d**(2/7)/d*d**(-1/3)/d)**(-12/13) assuming d is pos | {
"pile_set_name": "DM Mathematics"
} |
/((4/(-6))/1). Let d(b) = b**2 + 10. Let g be d(0). Let h = g + -2. Solve -u = -a*y + h, -2*y + 3*u + 4 = 2*y for y.
4
Let i(k) = 9 + 5*k**2 - 10*k**2 + 19*k + 7*k**2. Let h be i(-13). Suppose 4*a + a = h. Solve -5*q = 3*f + 20, -5*q = -4*f + f + a for q.
-4
Suppose -3*x + x + 8 = 2*h, 4*x = -h + 7. Solve -m - 8 = h*f, 20 = 5*m + 2*f - 7*f for m.
1
Let r = -4 + 6. Let p be (1/2)/(r/20). Suppose 0*f = 4*f. Solve p*i - 1 = -3*k - 16, f = 4*k + 2*i + 6 for k.
0
Suppose -3*g = -b - 2*g, 0 = -2*b + g + 3. Let a be 4 + -2 + (2 - -1). Let z be (-6)/(-27) - (-25)/9. Solve 0 = z*d + 3*s, -b*d + d + a*s - 35 = 0 for d.
-5
Let r(k) = -k**3 - 2*k**2 - 2*k - 1. Let j be r(-2). Let i(u) = -u + 3. Let c be i(j). Let g = 9 + -6. Solve c = -4*s + v + 12, -s + 2*v - g*v = -8 for s.
4
Suppose l = 3*l - 10. Solve -5*v = 5*f - 40, -8 - 8 = 3*f - l*v for f.
3
Let h = -2 + 6. Let g = -5 + h. Let f be (-2)/(-4) + g/(-2). Solve 3*j = 2*z + 7 + f, 0 = j for z.
-4
Suppose 5*u + 11 = 71. Solve 3*l - u = 0, -3*i + 3*l - 1 = -l for i.
5
Suppose 3*w - 12 = w. Suppose -4*c + 6 = -w. Solve -2*b - 5*j = -18, c*j = -5*b + 2*j + 22 for b.
4
Suppose -2*h + 4*k + 8 = 3*h, k = 2*h - 5. Solve 2*r = -4*m + 18, 0*m + 17 = r + h*m for r.
1
Suppose 0 = -4*d + 3*t + t + 20, -2 = 2*t. Solve 3*f + 1 = -d*r - 6, -3*f = 3*r + 3 for r.
-4
Let f = 5 + 0. Solve -4*m + 36 = -f*t, -5*t = 5*m - 0*m for t.
-4
Let z be 21/28 + 26/8. Solve -z = -x + 4*j, 4*j + 1 = 2*x + 3*j for x.
0
Suppose d + 0*d + 4*n = 4, -4*n = 3*d - 4. Solve 5*s + 3*k = d, -28 = 2*s - 3*s + 5*k for s.
3
Let f be 35/(-10)*(-2 - -4). Let d = f + 14. Solve -p - i = -d, p + 4*p - 3*i - 11 = 0 for p.
4
Let z(j) = j**3 + 6*j**2 - 6*j + 13. Let d be z(-7). Solve 0 = 5*c - 20, -4*h - c = -d*c + 36 for h.
-4
Let k(d) = d**2 + d - 70. Let a be k(8). Solve a*i = 4*w + 6, -w - 18 = -0*i + 5*i for i.
-3
Let m = 33 - 11. Solve -2*q - 4*w = -0*w + m, 0 = -3*q - 5*w - 30 for q.
-5
Suppose 25 = 2*d + 17. Solve c - 1 = 0, 0 = d*b - b - 3*c - 6 for b.
3
Let v = 10 + 0. Suppose 5*i = v + 10. Suppose z + 8 + 6 = 4*m, 0 = 2*m - i*z. Solve j + 1 = w + 3, -w - j = m for w.
-3
Suppose -3*v + 30 = -0*v. Let d = -2 - 5. Let y = v + d. Solve -x - 2*x - 5*m = 0, -2*x = y*m for x.
0
Let l be -1 + 2/2 - -37. Let h = l - 24. Solve 0 = 5*o - 4*v + h + 2, -9 = -4*o - v for o.
1
Let n = -77 + 80. Solve -2*z = n*g - 9, -g = 4*z + 2*g - 9 for z.
0
Suppose -19 = -2*z + 51. Suppose 3*l + 5*y + 6 = 16, 4*y = -2*l + 8. Let a = l - 0. Solve -5*w - 5*o - z = a, 5*w = 6*o - 3*o - 11 for w.
-4
Suppose -v + 4*q + 7 = 0, -q - 14 = -3*v + 4*q. Suppose 0 = -0*g - v*g + 9. Solve -8 = z - 3*m, -z + 2*m - g = 1 for z.
4
Suppose 0 = -5*a + 10 + 140. Let p = 17 + -8. Solve a - 2 = 4*z - 2*v, -5*z = 4*v - p for z.
5
Let n be 4/10*(223 + -3). Let t be 2/11 - (-72)/n. Solve -3 = 2*w - 3*f, -5*f - t = -16 for w.
3
Suppose -4*m + 49 = 3*o, 2*o + 31 = 3*o + 5*m. Solve -o = 3*d - p, 4*d - 3*p + 15 = -3 for d.
-3
Let m be (1 - (2 - -30))/(-1). Suppose -m - 9 = -2*l. Solve -3*y - g - 7 = -22, 4*y - l = -3*g for y.
5
Let i = 2 + 1. Suppose 1 = -i*z + 5*l, 0 = -4*z - l + 6*l + 2. Solve -15 = -0*t + z*t + x, x + 3 = 0 for t.
-4
Suppose d - 10 = 2*r, -5*d + 3*d + 2*r = -12. Suppose 0*b = -d*b. Let w(n) = -n**3 + 2. Let z be w(b). Solve 4 = -2*f, -z*p = -3*f + 4*f for p.
1
Let q be 10/(-55) - (-101)/11. Suppose a + 14 = 3*l, -2*l + q + 3 = 2*a. Solve -2*i - 3*w = -i - l, w = -4*i - 2 for i.
-1
Suppose -j + 2*j = -5*h + 37, -4*h = 4*j - 20. Suppose -4*c = -2*c - h. Solve -z - 12 = c*t, -2*z = -5*t + z - 15 for t.
-3
Let v = -3 + 39. Solve 5*h = -4*c - v, 6*h - 2*h = -3*c - 28 for c.
-4
Let r(b) = b + 3. Let k(i) = -i. Let v(m) = k(m) - r(m). Let o be v(-4). Solve -3 = -o*u - 3*h + 4*h, 2*h - 2 = 2*u for u.
1
Let s(o) = -o**3 - 6*o**2 - 5*o + 5. Let m be s(-5). Suppose 8 = m*x - 17. Solve -h - 4*w = 13, -3*h + 9 = -x*w + w for h.
-1
Suppose -5*l - u + 15 = -4*l, 0 = -u + 5. Let o = -8 + l. Let a be (-6)/(-8)*4*1. Solve 2*s - a = n - 0*s, -o*s = 2*n + 6 for n.
-3
Suppose -z - 4 = -2*q + 2*z, -8 = -4*q - z. Suppose q*b = -2*b + 20. Solve 0 = 4*x + 3*s, b*x - 6*s = -s + 35 for x.
3
Let x be 4/10*360/12. Solve 3*h - 4*n - x = -0*n, 3 = -n for h.
0
Suppose 2*b + 3 = 3*b. Suppose -3*o + 15 = -b. Let n = o - 3. Solve u + 8 = z, n*z - 9 - 7 = u for z.
4
Suppose -64 = -0*f - 4*f. Suppose f - 4 = 3*i. Solve i = v + v, -3*c = 3*v + 3 for c.
-3
Let s = -4 - -4. Solve -z + 32 = -4*z + 5*b, 2*z - 4*b + 24 = s for z.
-4
Suppose 0 = -5*x - 5*r, -4*r - 23 = -4*x + 1. Solve -3*p + x*y = -3, -2*p + 33 = -4*p - 5*y for p.
-4
Let k(r) = r**3 - 2*r**2 - 26*r - 4. Let y be k(-4). Solve -7 = -a - 2*c, 5*a + y = -4*c + 15 for a.
-1
Let h(n) = -5*n + 32. Let o be h(6). Solve 5*m - o*z + 4*z + 15 = 0, -3*m = -2*z - 7 for m.
-1
Suppose g + 4*j - 4 + 0 = 0, -4 = -g - j. Solve -5*i - 8 = 2*q, q + g = 3*q - i for q.
1
Suppose 4*k - 60 = k. Solve k = -4*g, 5*g - g + 15 = -5*l for l.
1
Suppose 4*b - 14 = 2*b. Let t = b + -4. Suppose 0*y = 2*y + 3*y. Solve y = -3*h - 2*h + 10, -k + h - t = 0 for k.
-1
Let d(w) = -2*w**2 - 5*w + 6*w - 2 + 3*w**2. Let x be d(-2). Let t be 0 + x + 2 + 38. Solve 5*k - t = -5*q, 5*q - 4*k + 10 = k for q.
3
Suppose -v - 4*d + 13 = -2*d, 2*d = 10. Solve 5*k + 2*c + v + 7 = 0, -k - 2*c = 2 for k.
-2
Suppose 4 + 3 = 2*i + j, 0 = 2*i + 2*j - 6. Solve i*k + 4 = 4*p - 4, 5 = 4*p - k for p.
1
Let q be 8/3 + (-6)/(-18). Solve -5*w + 10 = -w - q*h, -11 = -w + 5*h for w.
1
Let r be 6/(-15) - 12/(-5). Suppose 20 = r*c + 4. Solve 3*h - v = v + c, 4 = h - v for h.
0
Let s(f) = -f**3 - 5*f**2 - 6*f - 3. Let p be s(-4). Let o be 2/(-10) - (-384)/(-30). Let m = o - -16. Solve 0*y = 4*y + 4*r + 8, 14 = -p*y - m*r for y.
-4
Suppose 0*s = 4*s + 12. Let m = 3 + s. Suppose m*x = -3*x + 9. Solve -x*y = -3*t, -4 - 1 = -4*t + 5*y for t.
-5
Let j be 26 + 2/(0 - -2). Suppose 2*n = m + 12 + 42, -n = 5*m - j. Solve -2 = 5*c - n, f + 4*c - 15 = 0 for f.
-5
Let y(a) = -a. Suppose -3 = 3*r + 3. Let t be y(r). Solve -l = t*p - 2, -3*l - p + 8 + 3 = 0 for l.
4
Let n be (6/4)/(6/20). Let i(d) = d. Let p be i(2). Suppose -5*a + a = 3*v - 11, -p*v + 4*a = -14. Solve v*b - 8 = s + 2*b, n*b = -4*s + 36 for s.
4
Suppose 16 = 4*p + 8. Solve -p*r + 5*w - 2 = 2*w, -3*w = 3*r - 27 for r.
5
Suppose 0*z - 2*z + 3*c - 1 = 0, -5 = -4*z - c. Suppose z = -q + 3. Solve 5*h = -2*p - 6, 3*p = 2*h - 7 - q for p.
-3
Let l be (1/2)/(4/16) + 1. Solve 12 = 3*i, 0*z + i - 16 = -l*z for z.
4
Suppose -3*v + g + 9 = 0, 3*v + 15 = 8*v + 2*g. Solve v*d = -c - 5, c + 0*d = -d - 3 for c.
-2
Suppose 0*w = 4*w. Let k = 3 + w. Suppose -3*a - 3*u + 30 = 0, 3*a - 20 = -0*a + 2*u. Solve 4*j + 27 + a = k*r, 3*j - 3*r = -30 for j.
-5
Suppose 9 = 3*q - 0*q. Solve -10 = 2*b - 0*b, 0 = q*c - b - 2 for c.
-1
Suppose -d + 0*d = 0. Solve 0 = 2*o + 2*o - 3*u + 20, d = -o - 2*u - 5 for o.
-5
Let z = 145 + -144. Let v be (1 + -2)*-2 + 9. Solve 4*y - 15 = -x, -y = 3*x + v - z for x.
-5
Suppose 4*o - 11 - 61 = -4*n, 74 = 5*o - 3*n. Suppose -6*z + 4*y = -8*z + 24, -y - o = -5*z. Solve 0*v - 5*v + w - 30 = 0, -v + 15 = z*w for v.
-5
Suppose 5*g - 35 = -5*l, 5*l - 34 = -3*g - 5. Solve 3*v - 12 = -v + l*j, 2*v - 12 = -4*j for v.
4
Let x = 55 - 45. Solve 4*l - 3*f = -0*l - 8, f = 5*l + x for l.
-2
Suppose 0*j + 2 = 2*j, c - 5*j + 2 = 0. Solve -4*v + 0*k + k + 24 = 0, 0 = -c*v - 4*k - 1 for v.
5
Suppose -3*q + 1 = -4*q. Let a be q/2 - (-14)/4. Solve 11 = -a*y - 4*z, -7 = 2*y - z + 4 for y.
-5
Let t = -7 + 1. Let z = 10 + t. Solve -3*d + d + 12 = z*a, 8 = d + 3*a for d.
2
Let i(h) be the second derivative of -h**5/2 - h**4/12 + h**3/6 + h**2/2 - 5*h. Let l be i(-1). Solve -4*r - t - 4 = l, -2*t = -r - 10 for r.
-4
Suppose -7*w - 13 = -48. Solve -4 = 2*y - w*h + 6, h = -5*y + 2 for y.
0
Suppose -25 = -2*s - 3*s. Suppose s*l - 5 = -4*m, 5*m - 2*l = l - 3. Let i = m + 0. Solve -x = -1, -5*n - 2*x - 1 - 7 = i for n.
-2
Let a be 35/21 - (-2)/6. Solve a*m - 3*f - 9 = 0, f = -2*m - 6 + 3 for m.
0
Suppose -5*f = -3*f. Suppose -2*t = -5*t + 15. Suppose -3*d = x - 1, -4 + 5 = -x - t*d. Solve 0 + 4 = k + 3*h, x*k + 2*h - 16 = f for k.
4
Let g be (-4 + 4)*(-2 - -1). Suppose -t = 3*v - g*t - 4, 4*t - 4 = 0. Suppose l - v = 3. Solve -5*z + 5*k + 0*k - 20 = 0, 0 = l*z + k + 21 for z.
-5
Let c(v) = -v | {
"pile_set_name": "DM Mathematics"
} |
452, 3450?
-2*u + 3458
What is the z'th term of -1086, -1072, -1058, -1044, -1030, -1016?
14*z - 1100
What is the w'th term of 15, 35, 57, 81?
w**2 + 17*w - 3
What is the u'th term of -15, -40, -75, -120, -175?
-5*u**2 - 10*u
What is the n'th term of -31, 0, 51, 122?
10*n**2 + n - 42
What is the y'th term of 87, 160, 221, 270, 307, 332?
-6*y**2 + 91*y + 2
What is the l'th term of 114, 447, 990, 1731, 2658?
-2*l**3 + 117*l**2 - 4*l + 3
What is the n'th term of -66, -65, -64, -63, -62, -61?
n - 67
What is the l'th term of 239, 236, 231, 224, 215, 204?
-l**2 + 240
What is the b'th term of -20, -11, -2, 7?
9*b - 29
What is the p'th term of 624, 625, 626, 627?
p + 623
What is the l'th term of -26, -54, -84, -116?
-l**2 - 25*l
What is the n'th term of 2041, 4081, 6121, 8161?
2040*n + 1
What is the j'th term of 29, 39, 69, 131, 237, 399, 629?
2*j**3 - 2*j**2 + 2*j + 27
What is the n'th term of -45, -31, 7, 81, 203, 385, 639, 977?
2*n**3 - 47
What is the h'th term of 161, 160, 159, 158?
-h + 162
What is the w'th term of -53, -47, -39, -29, -17?
w**2 + 3*w - 57
What is the q'th term of -70, -158, -272, -424, -626, -890, -1228, -1652?
-2*q**3 - q**2 - 71*q + 4
What is the f'th term of -48, -58, -66, -72, -76?
f**2 - 13*f - 36
What is the w'th term of 386, 388, 402, 434, 490, 576, 698?
w**3 - 5*w + 390
What is the y'th term of 57, 66, 81, 102, 129, 162?
3*y**2 + 54
What is the a'th term of -14789, -14790, -14791?
-a - 14788
What is the w'th term of 11561, 11550, 11525, 11480, 11409, 11306, 11165?
-w**3 - w**2 - w + 11564
What is the y'th term of -100, -238, -462, -772, -1168?
-43*y**2 - 9*y - 48
What is the r'th term of -16, -28, -48, -76, -112?
-4*r**2 - 12
What is the a'th term of 4, -60, -242, -602, -1200, -2096?
-10*a**3 + a**2 + 3*a + 10
What is the k'th term of 8935, 8942, 8961, 8998, 9059, 9150, 9277?
k**3 + 8934
What is the v'th term of 115, 258, 459, 748, 1155, 1710, 2443?
5*v**3 - v**2 + 111*v
What is the p'th term of -7, -40, -93, -166?
-10*p**2 - 3*p + 6
What is the n'th term of -13900, -27799, -41698, -55597, -69496, -83395?
-13899*n - 1
What is the u'th term of 248, 243, 236, 227, 216?
-u**2 - 2*u + 251
What is the g'th term of -30, -77, -124, -171, -218?
-47*g + 17
What is the d'th term of -279, -563, -855, -1155, -1463, -1779, -2103?
-4*d**2 - 272*d - 3
What is the v'th term of -61, -120, -175, -226, -273, -316?
2*v**2 - 65*v + 2
What is the g'th term of 4, -51, -158, -329, -576, -911, -1346, -1893?
-2*g**3 - 14*g**2 + g + 19
What is the x'th term of 16, 32, 48, 64?
16*x
What is the x'th term of -49, -513, -1777, -4243, -8313, -14389, -22873?
-67*x**3 + 2*x**2 - x + 17
What is the d'th term of 71, 40, -25, -142, -329, -604, -985, -1490?
-3*d**3 + d**2 - 13*d + 86
What is the h'th term of 31, 191, 457, 829, 1307, 1891, 2581?
53*h**2 + h - 23
What is the l'th term of -453, -906, -1363, -1830, -2313?
-l**3 + 4*l**2 - 458*l + 2
What is the g'th term of 81, 113, 133, 135, 113, 61, -27?
-g**3 + 39*g + 43
What is the t'th term of -85, -169, -253, -337, -421, -505?
-84*t - 1
What is the d'th term of 120, 234, 346, 456, 564, 670?
-d**2 + 117*d + 4
What is the o'th term of 23, 72, 157, 278, 435, 628?
18*o**2 - 5*o + 10
What is the a'th term of -12, -18, -16, -6, 12, 38?
4*a**2 - 18*a + 2
What is the w'th term of -398, -394, -390, -386, -382, -378?
4*w - 402
What is the n'th term of 111, 234, 357?
123*n - 12
What is the q'th term of 69, 148, 225, 300?
-q**2 + 82*q - 12
What is the a'th term of 717, 712, 717, 738, 781, 852, 957?
a**3 - a**2 - 9*a + 726
What is the a'th term of 112, 225, 338, 451, 564, 677?
113*a - 1
What is the z'th term of -56, -308, -994, -2330, -4532, -7816, -12398, -18494?
-36*z**3 - z**2 + 3*z - 22
What is the h'th term of 298, 592, 884, 1174?
-h**2 + 297*h + 2
What is the r'th term of -25, -69, -133, -217, -321, -445, -589?
-10*r**2 - 14*r - 1
What is the l'th term of 1035, 1030, 1023, 1014?
-l**2 - 2*l + 1038
What is the g'th term of 100, 345, 744, 1303, 2028, 2925?
g**3 + 71*g**2 + 25*g + 3
What is the s'th term of -131, -251, -373, -497, -623, -751, -881?
-s**2 - 117*s - 13
What is the l'th term of -55, -53, -51, -49?
2*l - 57
What is the t'th term of -33, 59, 213, 429, 707?
31*t**2 - t - 63
What is the s'th term of 78, 62, 48, 36, 26, 18, 12?
s**2 - 19*s + 96
What is the k'th term of -48, -66, -96, -138, -192, -258?
-6*k**2 - 42
What is the k'th term of -2488, -2483, -2468, -2437, -2384, -2303?
k**3 - k**2 + k - 2489
What is the q'th term of 135, 285, 457, 663, 915, 1225?
2*q**3 - q**2 + 139*q - 5
What is the a'th term of 15, 40, 67, 96, 127, 160, 195?
a**2 + 22*a - 8
What is the b'th term of 460, 458, 456, 454?
-2*b + 462
What is the r'th term of 36, 46, 60, 78, 100, 126?
2*r**2 + 4*r + 30
What is the s'th term of 37, 2, -107, -332, -715?
-7*s**3 + 5*s**2 - s + 40
What is the m'th term of -62, -127, -192?
-65*m + 3
What is the z'th term of 17, 53, 97, 137, 161, 157, 113?
-2*z**3 + 16*z**2 + 2*z + 1
What is the z'th term of -93, -67, -21, 51, 155?
z**3 + 4*z**2 + 7*z - 105
What is the x'th term of 133, 125, 105, 67, 5, -87?
-x**3 - x + 135
What is the c'th term of -550, -1085, -1612, -2125, -2618, -3085, -3520, -3917?
c**3 - 2*c**2 - 536*c - 13
What is the t'th term of 2, 84, 324, 800, 1590?
13*t**3 + t**2 - 12*t
What is the b'th term of 49, 128, 271, 490, 797?
2*b**3 + 20*b**2 + 5*b + 22
What is the h'th term of -558, -567, -578, -591, -606, -623, -642?
-h**2 - 6*h - 551
What is the c'th term of 822, 1631, 2440, 3249, 4058, 4867?
809*c + 13
What is the x'th term of 4, 2, -40, -152, -364, -706, -1208?
-5*x**3 + 10*x**2 + 3*x - 4
What is the g'th term of 70, 61, 46, 25, -2?
-3*g**2 + 73
What is the k'th term of 59, 37, -21, -133, -317?
-3*k**3 - k + 63
What is the d'th term of 25, 33, 55, 97, 165?
d**3 + d**2 - 2*d + 25
What is the g'th term of 64, 126, 188, 250?
62*g + 2
What is the m'th term of -666, -671, -680, -693?
-2*m**2 + m - 665
What is the u'th term of 445, 887, 1323, 1753?
-3*u**2 + 451*u - 3
What is the l'th term of -10, -13, -26, -55, -106?
-l**3 + l**2 + l - 11
What is the a'th term of -25, -34, -43?
-9*a - 16
What is the y'th term of -147, -178, -197, -198, -175, -122, -33?
y**3 - 38*y - 110
What is the v'th term of -63, -118, -171, -222?
v**2 - 58*v - 6
What is the h'th term of -43, -34, -23, -10, 5, 22, 41?
h**2 + 6*h - 50
What is the h'th term of -66, -92, -166, -312, -554?
-4*h**3 + 2*h - 64
What is the l'th term of -568, -566, -564, -562, -560, -558?
2*l - 570
What is the p'th term of 22, 18, 14?
-4*p + 26
What is the o'th term of 58, 46, 34, 28, 34?
o**3 - 6*o**2 - o + 64
What is the q'th term of -275, -242, -197, -134, -47, 70, 223?
q**3 + 26*q - 302
What is the g'th term of -72, -136, -204, -276, -352, -432, -516?
-2*g**2 - 58*g - 12
What is the v'th term of -262, -513, -748, -961, -1146, -1297?
v**3 + 2*v**2 - 264*v - 1
What is the w'th term of -5, -6, -1, 10, 27?
3*w**2 - 10*w + 2
What is the f'th term of -396, -385, -362, -321, -256, -161, -30?
f**3 + 4*f - 401
What is the z'th term of -36, -74, -146, -258, -416?
-z**3 - 11*z**2 + 2*z - 26
What is the o'th term of 2430, 4866, 7304, 9744, 12186, 14630, 17076?
o**2 + 2433*o - 4
What is the t'th term of 178, 180, 184, 190, 198, 208?
t**2 - t + 178
What is the h'th term of 6389, 6390, 6391, 6392?
h + 6388
What is the v'th term of -450, -463, -484, -513, -550?
-4*v**2 - v - 445
What is the n'th term of 45, 178, 399, 708, 1105, 1590, 2163?
44*n**2 + n
What is the u'th term of -273, -281, -293, -309, -329?
-2*u**2 - 2*u - 269
What is the v'th term of -118, -122, -126, -130, -134?
-4*v - 114
What is the r'th term of 24, 31, 38?
7*r + 17
What is the a'th term of -29, -59, -91, -125, -161, -199, -239?
-a**2 - 27*a - 1
What is the y'th term of 5, -5, -29, -67, -119?
-7*y**2 + 11*y + 1
What is the s'th term of 40, 112, 240, 430, 688, 1020, 1432?
s**3 + 22*s**2 - s + 18
What is the j'th term of 204, 822, 1852, 3294, 5148, 7414?
206*j**2 - 2
What is the b'th term of -402, -400, -398, -396?
2*b - 404
What is the b'th term of 59, 107, 159, 215?
2*b**2 + 42*b + 15
What is the q'th term of 871, 861, 847, 829?
-2*q**2 - 4*q + 877
What is the k'th term of -30, -44, -64, -90, -122, -160?
-3*k**2 - 5*k - 22
What is the k'th term of -181, -373, -565?
-192*k + 11
What | {
"pile_set_name": "DM Mathematics"
} |
e nearest one thousand.
29000
Let a = -688 + 320. Let q = a - -367.22. What is q rounded to 1 dp?
-0.8
Let m = -123304.766209228 - 0.236190772. Let n = m + 123257. Let u = n - -48. Round u to four dps.
-0.0024
Let b = -14577 + 14576.9999917474. Round b to 7 dps.
-0.0000083
Let r(z) = -310*z - 90. Suppose 5*c + o + 55 = 0, -21*o = 5*c - 22*o + 55. Let a be r(c). What is a rounded to the nearest 100?
3300
Let t = -684.3 + 684.2987431. Round t to five dps.
-0.00126
Let g = -161 - -160.591. Let w = g - -0.71. What is w rounded to one decimal place?
0.3
Let u = 27294 + -27014.73. Let n = -281 + u. Round n to 0 decimal places.
-2
Let i = -303 - -302.688. Let s = i + 0.30747. What is s rounded to 4 dps?
-0.0045
Let w = 521.4 + -541.25. Round w to the nearest 10.
-20
Let c(a) = 20451*a + 83. Let g be c(8). Suppose 10*l = -34641 + g. Let j = l - 48805. What is j rounded to the nearest ten thousand?
-40000
Let g = -2416.3505 + 2413. Round g to two decimal places.
-3.35
Let p = 548 - 547.7881. Let s = p - 244.6119. What is s rounded to the nearest ten?
-240
Let v be (8642/4)/((-36)/(-144)). Suppose -v = -5*u + 158. Round u to the nearest 100.
1800
Let j(k) = 382*k**3 + 16*k**2 - 29*k + 37. Suppose 29*a = 25*a - 84. Let x be j(a). Round x to the nearest one million.
-4000000
Let q = -41 + 46. Suppose 2*k + 2*k - 4*a = 90862316, q*a = 4*k - 90862313. Suppose -k - 9284418 = 10*l. Round l to the nearest 1000000.
-3000000
Let m = -2039 + 2022.66. Let u = 16.3401121 + m. Round u to five decimal places.
0.00011
Let v = 7110.9508 - 7097.6. What is v rounded to one decimal place?
13.4
Let i = 275 + -273.8. Let b = -1.20244 + i. What is b rounded to 3 dps?
-0.002
Let k = 37 + -22. Suppose 0*h = 5*h - k. Suppose -h*s = -3*c - 8399988, -3*s + 4*c + 393490 = -8006494. What is s rounded to the nearest 100000?
2800000
Let v = -516.66 - -513. Let j = 4.226 + v. What is j rounded to 1 dp?
0.6
Let j = 131.67 - 131.67022688. Round j to five decimal places.
-0.00023
Let i = 11968.4 + -11968.3924219. What is i rounded to four decimal places?
0.0076
Let u = -106 - -89. Let o = u - -13.5. Let m = o + 1.17. What is m rounded to one dp?
-2.3
Let s = -2974.9 - -2974.9024542. What is s rounded to 4 decimal places?
0.0025
Let i be 9/(18/8) - (-2 + 0). Suppose 9*s + i = 33. Let d(a) = -1230*a - 10. Let h be d(s). What is h rounded to the nearest 10000?
0
Let h = 0.17711 + -10.23011. Let q = h + 0.053. Let x = -9.99926 - q. What is x rounded to four decimal places?
0.0007
Let r = 72 - 51. Let p be r/12 - (-5)/20. Let x be p/5 - (-540000018)/(-45). Round x to the nearest 1000000.
-12000000
Suppose 4*c = -v + 7333605, 0 = 76*c - 77*c + 3*v + 1833385. Round c to the nearest one hundred thousand.
1800000
Let h = 1398 + -3957. Let y = -2559.1351 - h. Round y to 2 decimal places.
-0.14
Let p = -1359 - -865. Let n = -249 + p. What is n rounded to the nearest one hundred?
-700
Let v = -28.113 + 28. Let f = 30.387 - v. Round f to the nearest integer.
31
Let h = 659 - 666.81. Let w = h - -0.41. Let s = w + 7.3725. What is s rounded to 3 decimal places?
-0.028
Let p(j) = 5*j**2 + 8*j + 5. Let b be p(-2). Let m(t) = 5765*t**2 + t + 3. Let d be m(b). Let c = 166977 - d. What is c rounded to the nearest one million?
0
Let h = 180250793.13447 - 180249992. Let b = h + 0.16553. Round b to the nearest 10.
800
Suppose -b - h + 1 = 0, -2*b + 2*h = 3*b + 2. Suppose -18 = -3*y - 3*t, b = 4*y + 3*t + 2*t - 28. Suppose 0 = s + s + y. What is s rounded to one decimal place?
-1
Let a = 9026.29892187 - 9026.3. What is a rounded to six dps?
-0.001078
Let r be (-2)/6*11909*-3. Let c = 8583 + -13792. Let y = r + c. What is y rounded to the nearest 1000?
7000
Suppose s - 32809 = -a, 2*s + 69110 + 62096 = 4*a. Suppose 6404 = -5*p + a. Let i = -29880 + p. Round i to the nearest 10000.
-20000
Let p = 72191.000052321 - 72191. Round p to five dps.
0.00005
Let q = -27943 - -27942.9944693. Round q to 4 decimal places.
-0.0055
Let w = 0.02 - 13.72. Let z = 88.7 + w. Let s = z - 75.0066. What is s rounded to three decimal places?
-0.007
Let i = -26953.72569 + 27521.728. Let o = -124 - -692. Let c = i - o. What is c rounded to 4 decimal places?
0.0023
Let m = 663.2 - 1226.3. Round m to the nearest one hundred.
-600
Let c = 198 - -38. Let j = c + -235.9768. Round j to two decimal places.
0.02
Let z = 1572516 - 69203516. What is z rounded to the nearest 1000000?
-68000000
Let m = -3857.95396 - -3858. Round m to 3 decimal places.
0.046
Let g = 3905.9999994857 + -3906. Round g to seven dps.
-0.0000005
Let c = -169 - -171. Suppose -2*g - 630 = -c*d, 236 = 5*g + 2*d + 1846. Round g to the nearest ten.
-320
Suppose 30 = 7*c - 54. Suppose -c*i - 243293 + 882893 = 0. Round i to the nearest 1000.
53000
Let x = -18.84 + 0.76. Let r = x + 19. Let j = r + -0.920062. What is j rounded to five dps?
-0.00006
Let c = -362.93 - -364.850954. Let a = 7.920958 - c. Let m = a - 6. Round m to six decimal places.
0.000004
Let b = 10036.7387 - 10038. Let r = -1.32 - b. What is r rounded to three decimal places?
-0.059
Let z be (-175)/(-10) - 6/(-12). Let d(m) = -m**3 + 18*m**2 + m - 20. Let q be d(z). What is q rounded to the nearest integer?
-2
Let f = 2.2015 - -0.1775. Let k = -3.2 + 5.92. Let o = k - f. Round o to two decimal places.
0.34
Let r be (12 - 581)*88/11. Round r to the nearest 1000.
-5000
Let p be (-300)/45*606822/(-95). What is p rounded to the nearest one hundred?
42600
Suppose -5*t + 6 = 1. Suppose 2*c + f - t = 0, 3*c - 2*f + 0 = 19. Suppose 5*s - c*x = 9512, 3*s + 4*x - 3784 = s. Round s to the nearest one hundred.
1900
Let q = 3.553497 + -3.5736. Let a = -55.0205 + 55. Let d = a - q. What is d rounded to four dps?
-0.0004
Let k = 121685.967 + -121736. What is k rounded to 1 dp?
-50
Let l = -0.066 - -31.066. Let a = 4709440 + -4709471.000368. Let i = a + l. Round i to five dps.
-0.00037
Let v = -172.999978756 + 173. What is v rounded to 7 decimal places?
0.0000212
Let j = -16339.3 + 13146. Round j to the nearest 10.
-3190
Let l be 2 + (0 - (1 - 2)). Suppose 3*r - 7*g = -4*g - 984012, l*g = -3*r - 983988. Round r to the nearest ten thousand.
-330000
Let y(m) = -2*m**2 + 10*m - 14. Let n be y(-39). Let j = n - -2373. What is j rounded to the nearest one hundred?
-1100
Suppose 3*h - 5393 = 2227. Suppose h = -0*w + 4*w. Let m be w*125*(-13 - 3). Round m to the nearest one hundred thousand.
-1300000
Let c = 1115 - 961.8. Let v = c + -153.3307. Round v to two dps.
-0.13
Let i = -1038 + 449. Let o = -365 - i. Let q = 226.46 - o. Round q to one dp.
2.5
Let n = -46923 + 46920.2753. What is n rounded to 2 decimal places?
-2.72
Let c = -461.806 - -0.806. Let s = c - -461.000001092. Round s to seven dps.
0.0000011
Let y be (762/8)/(51/476). Let k = y - 1563. Round k to the nearest one hundred.
-700
Let t = -77.37 - -57.905. What is t rounded to zero decimal places?
-19
Let o be (-5)/(-5) - (-2 - 31). Let h be (-108358)/o + 3/(-1). Round h to the nearest 1000.
-3000
Suppose 83560810 = -158*g + 261*g. Round g to the nearest 1000.
811000
Let h = 0.2871 - 0.0062. Let y = h - 0.0094. Round y to 2 decimal places.
0.27
Suppose 4*i - 876280 = o, 41*i - 40*i = 5*o + 4381495. Round o to the nearest one hundred thousand.
-900000
Let s = -29.15 - 0.55. Let v = s - -7.7. Let x = -22.000002 - v. What is x rounded to five decimal places?
0
Let o = 1.1936 + -0.0436. Let d = o + -16.25. Round d to the nearest integer.
-15
Let t = 5931 + -5930.99998317. What is t rounded to 7 decimal places?
0.0000168
Let o = 19103.623275 - 19104. Let b = o - 65.632175. Let g = 66 + b. Round g to three dps.
-0.009
Let i = 1347.999988649 - 1348. Round i to six dps.
-0.000011
Let s = 18743.3588 - 18747. What is s rounded to 1 decimal place?
-3.6
Suppose -4*p - 12 = -8*p, 5*c + 92295579 = 3*p. Let a = c + -8980886. What is a rounded to the nearest 1000000?
-27000000
Let w = 6.168502 + -6.146. Round w to 3 dps.
0.023
Let m(v) = v**3 + 10*v**2 + 21*v - 5. Let c be m(-6). Let y be (-14040)/c*(-3800)/6. Round y to the nearest 10000.
680000
Let p = -0.0817 + 0.4187. Let z = p + -0.955. Round z to 1 dp.
-0.6
Let h = -105858.99893 - -105858. Let g = -1 + 2. Let b = h + g. What is b rounded to four decimal places?
0.0011
Let u = -0.382 + -215.618. Let y = 333 + u. Let h = -116.862 | {
"pile_set_name": "DM Mathematics"
} |
*t**2 + 7*t - 4. Let k be d(7). What are the prime factors of k/w + -1 + 4?
2, 3
Suppose -4*a - 4*v + 104 = 0, 3*a = 4*v - 6*v + 73. Let i be 24/(-21)*a/(-6). Let h(d) = 11*d + 16. List the prime factors of h(i).
2, 3, 5
Let z(x) = 3*x**2 + 8*x - 20. Let l be z(4). Let q be 1/(0 + -1)*34. Let w = l + q. List the prime factors of w.
2, 13
Suppose -5597 = -10*j + 27243. What are the prime factors of j?
2, 821
Let m be -3 + 4*3/4. Suppose 0*a - 3*a + 6 = m. Suppose -4*l = -2*p + 56, a*p + 4*l - 58 = 6*l. List the prime factors of p.
2, 3, 5
Let k = 718 + -318. List the prime factors of k.
2, 5
List the prime factors of (-2 - (5240 - 0))*(-4)/8.
2621
Let x(f) = f**2 - 3*f + 4. Let z be x(3). Suppose z*w - 102 = 386. Let u = w - 83. What are the prime factors of u?
3, 13
Let c(k) = k**3 + 5*k**2 - 2. Let u be c(-4). Suppose 0 = 4*p - 6 - u. Suppose 4*h = p*i + 157, -2*i = -h - 1 + 41. What are the prime factors of h?
2, 19
Suppose -h - 1904 = -8*h. What are the prime factors of h?
2, 17
Let i(a) = -a + 30. Let p be (-2)/(-8) - 14/56. What are the prime factors of i(p)?
2, 3, 5
Let t be 12/(6/(-2)) - -4. Suppose -5*i + t*y = 3*y - 73, -2*y = 3*i - 43. Let o(g) = g**3 - 18*g**2 + 18*g - 5. List the prime factors of o(i).
2, 3
Suppose -35*o = -24*o - 1628. List the prime factors of o.
2, 37
Suppose 10*o = 7*o + 15. Suppose -240 = -b + 4*y, o*b - 3*y = -2*y + 1295. List the prime factors of b.
2, 5, 13
Suppose -15 = 5*r + 3*s, 5*r - 9*s + 5 = -10*s. Suppose -3*u + 216 = 3*f, r*u + 5*u - 356 = -4*f. List the prime factors of u.
2, 17
Let z(c) = 3*c**3 - 22*c**2 + 4*c + 1. List the prime factors of z(13).
2, 7, 11, 19
Let r(s) = s**3 + 6*s**2 + 4*s + 4. Let t be r(-5). Let o = -5 + t. List the prime factors of -3 + o + 15 - 2.
2, 7
Let b be 1/((-4)/12) + 8. Suppose 39 = 3*g - i, 0*g + 5*i - 45 = -b*g. What are the prime factors of g?
2, 3
Let s = -206 - -480. What are the prime factors of s?
2, 137
Let v(q) = 13 + 11 - 2*q - 1. What are the prime factors of v(-17)?
3, 19
Let i(h) = -2*h**2 - 58 - 11*h**2 + 14*h**2 + 11*h. What are the prime factors of i(-18)?
2, 17
Let g = 52 + -39. Let q(s) = 6*s - 1. Let o be q(1). Suppose -w + 155 = o*b + 2*w, -3*w = -b + g. What are the prime factors of b?
2, 7
Let t = -454 + 642. Suppose 5*m + n = 211, t = 4*m + 2*n - 6*n. What are the prime factors of m?
43
Suppose 5*n - 580 = -240. Suppose -s + 30 = 4*s. What are the prime factors of (-1)/3 + n/s?
11
Let f = 4 + 16. Suppose -72*r - 10 = -74*r. Suppose -q - f = -r*q, -q = d - 24. What are the prime factors of d?
19
Let y = -9 + 9. Let r(s) = -2*s**3 - 6*s + 7 - 5*s**3 + y*s**3 + 7*s**2 + 6*s**3. List the prime factors of r(6).
7
Let m(s) = 8*s**2 - 3*s - 2. Let o(u) = u**3 - 12*u**2 - 12*u - 14. Let f be o(13). List the prime factors of m(f).
3
Suppose 4*v - 8 = -0*v. Let s = 0 + v. Suppose -s*j - 2*j = 4*r - 44, 5*j + 3*r = 65. List the prime factors of j.
2
Let j(n) = -n**3 + n**2 + 5*n + 6. Suppose -p = 10 - 7. What are the prime factors of j(p)?
3
Let q(l) = l**3 + 6*l**2 + l + 7. Let x be q(-6). Let o be 8/(-10)*(6 - x). Let s = 15 - o. What are the prime factors of s?
19
Let a(u) = 4*u**2 - 6*u - 1. Let b be a(3). Let j = -56 + b. Let n = j - -68. What are the prime factors of n?
29
Let c(m) = -11*m + 2*m**2 + 19 - 3*m**2 + 2*m - m**3 + 13*m**2. List the prime factors of c(11).
41
Let i(y) = -2*y**2 - 23*y + 4. Let c(f) = -f**3 + f**2 + 5*f - 7. Let o be c(3). List the prime factors of i(o).
2, 17
What are the prime factors of (5 + (-771)/21)/((-3)/63)?
2, 3, 37
Let x(z) = -z**3 + 11*z**2 + 3*z - 13. Let g = 54 + -44. List the prime factors of x(g).
3, 13
Let c = -22 - -70. Suppose t = 29 + c. Let x = t - 52. What are the prime factors of x?
5
List the prime factors of (-2559 + 6)*((-52)/(-12) - 5).
2, 23, 37
Let g be ((-2)/(-7))/((-3)/(-21))*4. Suppose g*p - 2*p = 390. What are the prime factors of p?
5, 13
Let f be 2*(-3)/8*-4. Suppose 0 = 3*d - 0*p + f*p + 12, 5*p + 11 = -4*d. What are the prime factors of -2*d/6 - -3?
2, 3
Let a = -217 - -224. Let n(r) be the second derivative of r**3/3 - 2*r**2 + 2*r. What are the prime factors of n(a)?
2, 5
Suppose -f + 2*l = -1690, 43*l - 1705 = -f + 40*l. List the prime factors of f.
2, 53
Let j(c) = 99*c + 86*c + 9 - 167*c. List the prime factors of j(4).
3
Suppose 35*k - 44 = 31*k. Let a(d) = d**2 - 4*d + 5. List the prime factors of a(k).
2, 41
Let o(v) = -279*v - 386. List the prime factors of o(-6).
2, 7, 23
Let y(i) = 59*i**2 + 10*i + 26. What are the prime factors of y(-6)?
2, 5, 11, 19
Let o be -4*(-75)/6 - -4. Let c = o + -39. What are the prime factors of c?
3, 5
Suppose -4*r - 840 = 2*u - 3878, 6*r + u - 4563 = 0. What are the prime factors of r?
761
Let q be (10/(-6))/((-6)/(-18)*-1). Suppose q*u = 10*u - 110. What are the prime factors of u?
2, 11
Suppose -2*a = 3*a - 25, 0 = 2*x + 3*a - 23. Suppose x*i = 68 + 64. List the prime factors of i.
3, 11
Let p(d) = -d**3 + 8*d**2 - 6*d - 9. Let t be p(7). List the prime factors of t - (0 - 4) - -11.
13
What are the prime factors of 9324/20 - (-8)/10?
467
Let u = 39 - 45. List the prime factors of ((-9)/6)/(3/u).
3
Let p = 43 + -22. Suppose 0 = 8*g - 7*g - p. List the prime factors of g.
3, 7
Let c(u) = -5*u**2 - 4*u - 6. Let a(y) = -3*y**2 - 2*y - 3. Let n(j) = -7*a(j) + 3*c(j). List the prime factors of n(-4).
7, 13
Suppose 5*m + 11 = 3*m - y, -2*m + 2*y = 8. Suppose -f + 2*f - 2 = 0. List the prime factors of (f/m)/(9/(-90)).
2
Let v(j) = -3*j**3 + 1. Let k be v(-1). Suppose d + 0*d = -2*n + k, 3*d - 5*n = 1. Suppose -d*w = -31 - 15. What are the prime factors of w?
23
Let b be (82 - -4)/((-4)/(-6)). Suppose -4*t = 17 - b. Suppose -5*v + t + 122 = 0. What are the prime factors of v?
2, 3, 5
Let z = 1136 + -345. What are the prime factors of z?
7, 113
Suppose -2*z + 1421 = -1195. List the prime factors of z.
2, 3, 109
Let z = -67 - -99. Let p be 2/(-6) - z/12. Let l(b) = -5*b + 4. What are the prime factors of l(p)?
19
Suppose 4*v - 3*v - 3 = 0. Suppose -16 = -2*w + 4*h, v*h - 2*h = 4*w - 11. List the prime factors of w.
2
Let l(w) = -4*w - 13. Let z be l(-14). Suppose 34*s = z*s - 864. What are the prime factors of s?
2, 3
Suppose -10 = -5*m - 5. List the prime factors of 58 + (m - 5) + 5.
59
Let x(b) = 48*b + 2. Let t be x(-3). What are the prime factors of (-2)/7 + t/(-7)?
2, 5
Suppose 9*v = -3*w + 4*v + 300, 5*w + 2*v = 500. Let l = w + -63. List the prime factors of l.
37
Let u(i) = 6*i - 1 - 2*i - 5*i - 1. Let d be ((-18)/(-7))/(3/(-14)). List the prime factors of u(d).
2, 5
Let f be 6/(1 - -1)*1. Suppose -d + f*o - 4 = -10, -5*d = 2*o - 47. What are the prime factors of d?
3
Let a be (-5 - -2) + 3 + 3. Suppose 3*q = -7*i + 4*i + 984, -4*i = -a*q - 1305. List the prime factors of i/15 + (-2)/(-10).
2, 11
Let m = 9 - 6. Suppose 0 = m*b - 0 - 15. Suppose -5*k - s + 6*s - b = 0, 0 = 3*s - 12. What are the prime factors of k?
3
Let k(t) = 4*t**2 + 2*t - 1. Let c be k(1). Suppose c*w - 55 = -10. What are the prime factors of (9/6)/(w/42)?
7
Let i = 11 + -16. Let h = i + 5. What are the prime factors of 29 - -10 - (h - -4)?
5, 7
Suppose 0 = 4*u - 404 + 152. Let l = -9 - -24. Suppose 3 - l = 4*p, -2*i = -3*p - u. List the prime factors of i.
3
Let w(c) be the first derivative of -c**4/2 + 2*c**3/3 - c**2 - 2*c - 6. List the prime factors of w(-3).
2, 19
Let l = 6301 + -3605. List the prime factors of l.
2, 337
Let x(y) = -2*y**3 + 49*y**2 + 50*y + 48. What are the prime factors of x(25)?
673
What are the prime factors of -1 + 489 - ((-36)/(-6) + -2)?
2, 11
Let u be 108/(-8)*(-64)/(-12). Suppose -5*j + 6*g - 108 = 2*g, j = -3*g - 14. Let i = j - u. What are the prime factors of i?
2, 13
Suppose 0 = -5*c - u + 23, -2*c - u = -8 - 0. Let b = 0 + c. Suppose 3*t = 3*q + 9, 2*t - 3*t + b*q = 5. What are the prime factors of t?
5
What are the prime factors of (-313)/(-4*5/20)?
313
Suppose -21 - 149 = 5*t. Let j = 75 - t. What are the prime factors of j?
109
Let p = -71 - -90. What are the prime factors of p?
19
Let p(x) = 629*x**3 - x**2. What are the prime factors of p(1)?
2, 157
Let k be 2/(-4) - (-199)/2. Let p = 47 + -44. Suppose -p*f = 33 - k. List the prime factors of f.
2, 11
Let v be (-2 - 0)*(-15)/10. Suppose 3*d = -9, v*y - d = 7 + 2. Suppose -y*a = -13 | {
"pile_set_name": "DM Mathematics"
} |
ive.
q**(-1061/209)
Simplify ((v**0/v**(-1/2))**(-22))**(-45) assuming v is positive.
v**495
Simplify ((a**2/(a/(a/a**3)))/((a*a**(-3)/a*a*a)/a*a*(a/a**(-2/11))/a))**(-2/97) assuming a is positive.
a**(4/1067)
Simplify (n/n**2*n)**(-1/2)/((n**1*n)/(n*n**(4/15))) assuming n is positive.
n**(-11/15)
Simplify (m/m**(-3/13)*m**(-6)*m)/(m/m**(-8)*m/(m/(((m*m**3)/m)/m*m))*m) assuming m is positive.
m**(-218/13)
Simplify (r*r**(-3)*r**(-3/2)/r)/(r*r**(3/11)/r*r)**(-22/3) assuming r is positive.
r**(29/6)
Simplify (p/(p**1/p))**15*p*p**9*p*p*p*p**1/p assuming p is positive.
p**28
Simplify ((c**2*c*c**(-2/15))**17)**48 assuming c is positive.
c**(11696/5)
Simplify (o*o**1/o)/(o**(-10/11)/o)*(o**(-5/6)*o)/(o**27/o) assuming o is positive.
o**(-1513/66)
Simplify ((((y**3*y)/y)**(-38))**(-16/3))**(-1/11) assuming y is positive.
y**(-608/11)
Simplify (p**(1/4)*p)**1/(((p*p**(-5/3))/p*p)/p*p*p**(-16/7)*p) assuming p is positive.
p**(269/84)
Simplify (((d*d*d**4)/(d*d/(d/((d*d**(2/3)*d)/d))))**(-43))**(-24) assuming d is positive.
d**3440
Simplify ((r/r**10)/r**(-6/5))/(r*(r*r*r**(4/9))/r*r**(1/7)*r) assuming r is positive.
r**(-3587/315)
Simplify v/v**(-1/17)*v*(v**5/v)/v*v*v/v**(-1/3)*v/(v**(1/8)*v) assuming v is positive.
v**(2965/408)
Simplify (((a/a**(-23))/a)/(a*a**(-1/39)*a))/(a*a/a**(-1))**16 assuming a is positive.
a**(-1052/39)
Simplify ((o**2)**(-9)*(o**1*o)/(o/o**(-8)))**(2/37) assuming o is positive.
o**(-50/37)
Simplify ((b/b**(1/2))**49*(b**(-2/7))**(3/5))**(-1/9) assuming b is positive.
b**(-1703/630)
Simplify k/(k/(k/k**(8/11)))*k**19*k**(18/5)*k**(-22) assuming k is positive.
k**(48/55)
Simplify (y**(-10)*y*y)**(-2/5)*y**(-6)/(y/(y/(y/(y**(3/16)/y)))) assuming y is positive.
y**(-369/80)
Simplify ((y/(y**30*y)*y)/y**12)/(y/y**(-15))**(5/8) assuming y is positive.
y**(-51)
Simplify (l/(l/l**5))**(-1/5)*(l/(((l/(l**17/l))/l)/l))/((l/(l*l/(l*l**21/l))*l)/l) assuming l is positive.
l**(-3)
Simplify o**13*o**3*(o**(2/7))**(-20) assuming o is positive.
o**(72/7)
Simplify (k/(k*k**(-12)))**(-6/11)/(k**(17/2)*k/(((k/(k/(k/(k**(1/33)/k)*k)))/k)/k)) assuming k is positive.
k**(-995/66)
Simplify ((((i*i/(i/(i*i**(-6))))/i)/i)/i**9)/(i**(1/4)/i*i**(-1)) assuming i is positive.
i**(-53/4)
Simplify (((w**(-2))**(35/6))**45)**(-2) assuming w is positive.
w**1050
Simplify m*m**(-9)*m*m/(m*m**(-1/16))*(m*m**4)**42 assuming m is positive.
m**(3249/16)
Simplify (((s**(-3)/s)/(s/s**(-11/4)))**(-3/17))**(1/41) assuming s is positive.
s**(93/2788)
Simplify (z*z**(-6))/z**(2/7)*(z*z**3)**(-10) assuming z is positive.
z**(-317/7)
Simplify (i**(2/5))**(-14/3)/(i**(2/23)*i)**(-19/6) assuming i is positive.
i**(1087/690)
Simplify (c*c*(c**2*c)/c*c*c*c)/c**(-2)*c**(-2/9)*c/(c/c**(1/2)) assuming c is positive.
c**(167/18)
Simplify ((z*z*z**(-25)/z*z*z)**(5/9))**(11/6) assuming z is positive.
z**(-605/27)
Simplify (n**(1/4)/n)**(1/4)*n**(-1/11)*n/(n/n**6*n) assuming n is positive.
n**(831/176)
Simplify (j**(1/8))**24*j**(-6/5)/(j**(1/10)/j) assuming j is positive.
j**(27/10)
Simplify (x**0)**16*(x*(x/x**(1/4)*x)/x)/(x*x**(5/2)) assuming x is positive.
x**(-7/4)
Simplify (d**(3/7)/d)/(d**(5/4)/d)*d/(d*d**(1/3))*d*d/(d/d**(2/5)) assuming d is positive.
d**(103/420)
Simplify ((d*d*d*d**26/d*d*d**22/d*d)**(-7))**15 assuming d is positive.
d**(-5355)
Simplify (t**(-1)/t)**(4/27)*t*t**(3/10)*t/(t*t*t/t**6*t*t*t)*t assuming t is positive.
t**(811/270)
Simplify (u**(-3/4)*u*(u**(-2/3)*u)/u*(u/u**(2/13))/(u/u**(3/5)))**(-1/22) assuming u is positive.
u**(-23/17160)
Simplify (g**(-4))**(-1)/(g**(-15)*g**5) assuming g is positive.
g**14
Simplify (h**(-25))**(1/7)/(h*h**(-10))**(-17) assuming h is positive.
h**(-1096/7)
Simplify ((j**(-1))**(-23))**2 assuming j is positive.
j**46
Simplify (t**4/(t**(-1/19)/t))/((t/(t*t*t**(-2/9)*t))/t**(-23)) assuming t is positive.
t**(-2765/171)
Simplify f*f*f**12/f*f*f*f**(-1)*f*f**(-2/9)*f**6 assuming f is positive.
f**(187/9)
Simplify (((x**4/x)**(-31))**(-2))**45 assuming x is positive.
x**8370
Simplify (l**(-1/4))**(33/5)*l**11/l*l**18 assuming l is positive.
l**(527/20)
Simplify (y*y*y*y**(-6))**(-1/6)/((y/y**(-4/3)*y*y*y)/y**(-6)) assuming y is positive.
y**(-65/6)
Simplify ((((z**(-8/5)/z*z)/z)/z)/z*z*z*z**(-12)*z)/(z*z/(z*z*z**(2/13)))**49 assuming z is positive.
z**(-394/65)
Simplify ((j*j**(-2/9))/j)**(13/6)/(j/j**5)**48 assuming j is positive.
j**(5171/27)
Simplify ((((a*a**(-2/5))/a)/(a*a**9))/((a*a**(2/17)/a)/((a*a*a**8)/a)))**(18/7) assuming a is positive.
a**(-2322/595)
Simplify ((a/(a*a**9))/(a/(a/a**4)))/(a**(-1/4)*a/(a/(a/(a**(-4)*a))*a)*a) assuming a is positive.
a**(-67/4)
Simplify (z**6)**(-49)/(z*z**(-4/5)*z)**(1/2) assuming z is positive.
z**(-1473/5)
Simplify (i*i**(-19)*i**(-38)*i)/(i**5)**17 assuming i is positive.
i**(-140)
Simplify (d**(-28)/d*d*d**(-22))**(-27/2) assuming d is positive.
d**675
Simplify (h**(-19)*(h**30/h)/h)**(42/5) assuming h is positive.
h**(378/5)
Simplify (k**(2/95)/(k**34*k))**(-4/25) assuming k is positive.
k**(13292/2375)
Simplify a/a**(-7)*a**15*a**(-8/3)*a*a**(-1)*a assuming a is positive.
a**(64/3)
Simplify ((o*(o/o**(-8/3))/o)/(o/(o/(o/(o/o**(2/31))*o))))/((o/((((o*(o*o/(o**(-9/4)*o))/o)/o*o)/o*o)/o))/(o/o**(3/4)*o)) assuming o is positive.
o**(949/186)
Simplify (w**(-10)*w/w**(1/6))/((w*w**(-10/3))/(w/(w**(-8)*w))) assuming w is positive.
w**(7/6)
Simplify (v**0*v**(1/9)*v)/(v**(-7)*(v*v/v**(-2/45))/v) assuming v is positive.
v**(106/15)
Simplify (((w**(-1/5))**8)**(14/3))**(-1/33) assuming w is positive.
w**(112/495)
Simplify ((c/(c/c**6*c))/((((c**(2/7)*c*c)/c)/c)/c*c))/(c/(c**(-2)*c*c)*c/(c*c*((c/(c**(-10/7)/c))/c)/c*c*c)) assuming c is positive.
c**(57/7)
Simplify h**(-3/17)/h*h*h**(2/11)*(h**(-1/7))**(4/13) assuming h is positive.
h**(-657/17017)
Simplify (h*(h*(h/(h/(h/((h/(h/(h*h/((((h*h**13/h)/h)/h)/h))))/h))*h))/h*h)/h)**7*(h**1/h)**(-27) assuming h is positive.
h**70
Simplify ((o/(o*o/o**(-9/4)))/((o**(1/16)/o)/o)*(o**8*o*o*o)/(o/((o*o/(o/(o/o**(1/3))))/o)))**(2/123) assuming o is positive.
o**(449/2952)
Simplify ((l/l**(-14)*l*l)/(l*l/l**(-14/11)*l*l*l))/(l**16)**(-12) assuming l is positive.
l**(2230/11)
Simplify (t/t**(-3/7))**(12/7)*(t**(-4))**(-22) assuming t is positive.
t**(4432/49)
Simplify ((f**1)**47/(f**(6/5)*f**(1/8)))**(2/157) assuming f is positive.
f**(1827/3140)
Simplify w**(1/4)*w/(w*w/(w*w*w**(10/3)/w)*w)*w**(3/7)/w**(-1/13) assuming w is positive.
w**(3373/1092)
Simplify ((r**12)**(-41))**42 assuming r is positive.
r**(-20664)
Simplify (v*v/v**(-28))**(-1/84)/(v**3)**16 assuming v is positive.
v**(-677/14)
Simplify (j/j**(2/13)*j)/j**(-15)*j/(j*j*j/((j/(j**(12/5)/j)*j)/j))*j*j/(j**(-1/8)*j)*j assuming j is positive.
j**(8617/520)
Simplify c**(-10/7)/(c/(c*c**(-4/5)*c))*((c**3/c)/c*c)**(2/71) assuming c is positive.
c**(-2913/2485)
Simplify (x*(x*x*(x*x**3)/x)/x*x)**26*(((x*x*x/(x*x**(-10)*x))/x)/x)/x*x/((x/(x**(-12)*x))/x)*x*x assuming x is positive.
x**156
Simplify (((w**(-1/2)/w)/(w/w**0*w))**31)**(-1/55) assuming w is positive.
w**(217/110)
Simplify (n/n**5)**(4/27)*n**(-3)*n**23 assuming n is positive.
n**(524/27)
Simplify (l*l**20*l)/(l*l**17)*(l**(1/19))**(-3/19) assuming l is positive.
l**(1441/361)
Simplify ((k*k/(k/(k*k**(1/6)/k)))/k*(k*k**(-2/15))/k)/((k*(k/(k**(1/3)/k))/k)/(k/(k**26*k))) assuming k is positive.
k**(-829/30)
Simplify (w**5*w*w**7)/((w/(w/w**(-17)))/(w*(w*w**1)/w)) assuming w is positive.
w**32
Simplify (z/z**(-3))**(-38)/(z**(-3)*z*z)**(-15) assuming z is positive.
z**(-167)
Simplify (s**(-3/16)/s**6)**(-5) assuming s is positive.
s**(495/16)
Simplify ((i**(-2/7)/(i*i/i**(-4)))**47)**(11/7) assuming i is positive.
i**(-22748/49)
Simplify (z**(-1/4)*z)**(-8/5)*(z/z**(-19))/(((z**19*z)/z)/z) assuming z is positive.
z**(4/5)
Simplify (o*o*o**(-22)*o*o*o*(o*o*(o*o**(-1/44)*o)/o*o)/o*o*o)**(-27) assuming o is positive.
o**(14283/44)
Simplify (z**(2/7)*((z**5*z)/z)/z)**(-5) assuming z is positive.
z**(-150/7)
Simplify c**(-13)*c**4*(c*c**(1/2))**(-44) assuming c is positive.
c**(-75)
Simplify (y*y*(y/y**0)/y*y)/y*y/y**(-5)*y*y/y**(4/9)*y**(7/3) assuming y is positive.
y**(107/9)
Simplify ((v**(1/30)/v)/v**(2/17))/((v*v**(4/11)*v)/((v*v/(v/(v/((((v*v**(11/2))/v)/v)/v))*v))/v)) assuming v is positive.
v**(-19489/2805)
Simplify (k**(-2/3 | {
"pile_set_name": "DM Mathematics"
} |
3, 53
What are the prime factors of 3583?
3583
What are the prime factors of 10019?
43, 233
List the prime factors of 40985.
5, 7, 1171
What are the prime factors of 7387?
83, 89
What are the prime factors of 34502?
2, 13, 1327
What are the prime factors of 29697?
3, 19, 521
What are the prime factors of 150?
2, 3, 5
What are the prime factors of 3635?
5, 727
What are the prime factors of 108814?
2, 41, 1327
List the prime factors of 1381.
1381
What are the prime factors of 9331?
7, 31, 43
What are the prime factors of 1538?
2, 769
What are the prime factors of 14907?
3, 4969
List the prime factors of 3490.
2, 5, 349
What are the prime factors of 5791?
5791
What are the prime factors of 6781?
6781
List the prime factors of 423.
3, 47
What are the prime factors of 5658?
2, 3, 23, 41
List the prime factors of 5006.
2, 2503
What are the prime factors of 788?
2, 197
What are the prime factors of 308?
2, 7, 11
What are the prime factors of 314?
2, 157
List the prime factors of 3708.
2, 3, 103
What are the prime factors of 27?
3
List the prime factors of 2593.
2593
What are the prime factors of 56851?
139, 409
What are the prime factors of 2005?
5, 401
What are the prime factors of 2754?
2, 3, 17
What are the prime factors of 3411?
3, 379
What are the prime factors of 18937?
29, 653
List the prime factors of 4655.
5, 7, 19
What are the prime factors of 5591?
5591
What are the prime factors of 36356?
2, 61, 149
List the prime factors of 41315.
5, 8263
List the prime factors of 30310.
2, 5, 7, 433
List the prime factors of 17521.
7, 2503
What are the prime factors of 25590?
2, 3, 5, 853
What are the prime factors of 2438?
2, 23, 53
What are the prime factors of 6576?
2, 3, 137
What are the prime factors of 3956?
2, 23, 43
List the prime factors of 18645.
3, 5, 11, 113
What are the prime factors of 9708?
2, 3, 809
What are the prime factors of 3665?
5, 733
List the prime factors of 85198.
2, 41, 1039
List the prime factors of 7936.
2, 31
List the prime factors of 34998.
2, 3, 19, 307
List the prime factors of 21769.
11, 1979
What are the prime factors of 184620?
2, 3, 5, 17, 181
List the prime factors of 15101.
15101
What are the prime factors of 1052?
2, 263
List the prime factors of 391.
17, 23
List the prime factors of 958.
2, 479
What are the prime factors of 88461?
3, 9829
What are the prime factors of 604?
2, 151
What are the prime factors of 12685?
5, 43, 59
What are the prime factors of 2772?
2, 3, 7, 11
What are the prime factors of 3064?
2, 383
What are the prime factors of 43760?
2, 5, 547
What are the prime factors of 12101?
12101
List the prime factors of 37.
37
List the prime factors of 3811.
37, 103
What are the prime factors of 26456?
2, 3307
What are the prime factors of 125076?
2, 3, 7, 1489
List the prime factors of 3531.
3, 11, 107
List the prime factors of 10660.
2, 5, 13, 41
What are the prime factors of 1480?
2, 5, 37
List the prime factors of 5189.
5189
List the prime factors of 24474.
2, 3, 4079
What are the prime factors of 19121?
19121
What are the prime factors of 28004?
2, 7001
What are the prime factors of 997?
997
List the prime factors of 5838.
2, 3, 7, 139
List the prime factors of 4546.
2, 2273
List the prime factors of 2828.
2, 7, 101
List the prime factors of 1204.
2, 7, 43
What are the prime factors of 5425?
5, 7, 31
List the prime factors of 1835.
5, 367
List the prime factors of 9758.
2, 7, 17, 41
List the prime factors of 35940.
2, 3, 5, 599
What are the prime factors of 82489?
11, 7499
What are the prime factors of 1482?
2, 3, 13, 19
What are the prime factors of 127251?
3, 1571
List the prime factors of 1905.
3, 5, 127
What are the prime factors of 3751?
11, 31
What are the prime factors of 36573?
3, 73, 167
What are the prime factors of 31805?
5, 6361
List the prime factors of 54835.
5, 11, 997
What are the prime factors of 1757?
7, 251
List the prime factors of 3761.
3761
List the prime factors of 694.
2, 347
What are the prime factors of 371?
7, 53
What are the prime factors of 1052?
2, 263
List the prime factors of 50056.
2, 6257
What are the prime factors of 3524?
2, 881
What are the prime factors of 1533?
3, 7, 73
What are the prime factors of 21542?
2, 10771
List the prime factors of 488.
2, 61
List the prime factors of 707.
7, 101
What are the prime factors of 7867?
7867
What are the prime factors of 6539?
13, 503
List the prime factors of 3377.
11, 307
What are the prime factors of 2019?
3, 673
What are the prime factors of 50977?
19, 2683
List the prime factors of 2232.
2, 3, 31
List the prime factors of 59322.
2, 3, 9887
List the prime factors of 28317.
3, 9439
List the prime factors of 8257.
23, 359
List the prime factors of 10336.
2, 17, 19
List the prime factors of 13172.
2, 37, 89
What are the prime factors of 417?
3, 139
List the prime factors of 2320.
2, 5, 29
What are the prime factors of 3175?
5, 127
List the prime factors of 4015.
5, 11, 73
What are the prime factors of 16548?
2, 3, 7, 197
List the prime factors of 489.
3, 163
What are the prime factors of 2887?
2887
List the prime factors of 22182.
2, 3, 3697
List the prime factors of 78068.
2, 29, 673
List the prime factors of 35.
5, 7
What are the prime factors of 887?
887
What are the prime factors of 93866?
2, 46933
List the prime factors of 9915.
3, 5, 661
What are the prime factors of 8405?
5, 41
List the prime factors of 6436.
2, 1609
List the prime factors of 45323.
61, 743
What are the prime factors of 4415?
5, 883
List the prime factors of 645.
3, 5, 43
What are the prime factors of 25859?
19, 1361
List the prime factors of 3183.
3, 1061
List the prime factors of 11642.
2, 5821
What are the prime factors of 14488?
2, 1811
What are the prime factors of 15813?
3, 7, 251
List the prime factors of 102915.
3, 5, 2287
List the prime factors of 1268.
2, 317
List the prime factors of 938.
2, 7, 67
List the prime factors of 10678.
2, 19, 281
List the prime factors of 15386.
2, 7, 157
List the prime factors of 2287.
2287
List the prime factors of 4417.
7, 631
List the prime factors of 1561.
7, 223
What are the prime factors of 11188?
2, 2797
What are the prime factors of 63462?
2, 3, 7, 1511
What are the prime factors of 2844?
2, 3, 79
List the prime factors of 32856.
2, 3, 37
List the prime factors of 5068.
2, 7, 181
List the prime factors of 3342.
2, 3, 557
What are the prime factors of 22626?
2, 3, 419
List the prime factors of 86754.
2, 3, 19, 761
What are the prime factors of 35622?
2, 3, 1979
List the prime factors of 5544.
2, 3, 7, 11
What are the prime factors of 27222?
2, 3, 13, 349
List the prime factors of 197837.
197837
List the prime factors of 24645.
3, 5, 31, 53
List the prime factors of 3892.
2, 7, 139
List the prime factors of 13871.
11, 13, 97
What are the prime factors of 6230?
2, 5, 7, 89
List the prime factors of 362.
2, 181
List the prime factors of 22463.
7, 3209
List the prime factors of 781.
11, 71
What are the prime factors of 8079?
3, 2693
What are the prime factors of 36085?
5, 7, 1031
What are the prime factors of 42861?
3, 7, 13, 157
List the prime factors of 51249.
3, 11, 1553
What are the prime factors of 26?
2, 13
What are the prime factors of 15996?
2, 3, 31, 43
What are the prime factors of 14087?
14087
What are the prime factors of 12430?
2, 5, 11, 113
What are the prime factors of 7797?
3, 23, 113
List the prime factors of 28281.
3, 11, 857
What are the prime factors of 891?
3, 11
What are the prime factors of 40645?
5, 11, 739
What are the prime factors of 83733?
3, 13, 19, 113
What are the prime factors of 2516?
2, 17, 37
List the prime factors of 45314.
2, 139, 163
List the prime factors of 3946.
2, 1973
List the prime factors of 33220.
2, 5, 11, 151
List the prime factors of 3062.
2, 1531
List the prime factors of 1754.
2, 877
List the prime factors of 9617.
59, 163
What are the prime factors of 5986?
2, 41, 73
List the prime factors of 13914.
2, 3, 773
What are the prime factors of 4365?
3, 5, 97
List the prime factors of 66670.
2, 5, 59, 113
List the prime factors of 5878.
2, 2939
What are the prime factors of 1489?
1489
What are the prime factors of 2988?
2, 3, 83
List the prime factors of 12842.
2, 6421
What are the prime factors of 569?
569
What are the prime factors of 9246?
2, 3, 23, 67
W | {
"pile_set_name": "DM Mathematics"
} |
37 = u, -u + h = -33 - 12. What are the prime factors of u?
43
Suppose -3*d + 24 + 3 = 0. Let j = -8 + d. What are the prime factors of (-5)/(-10)*16*j?
2
Let p = 22 - 3. Suppose -49 = 4*h + p. Let b = h - -24. List the prime factors of b.
7
Suppose 4*a - 8*a + 5*c = -643, a + 4*c = 187. What are the prime factors of a?
167
Let h be (-2)/(-10) + (-19)/(-5). Suppose 6*t - 4 = h*t. Suppose 0 = -o + t. What are the prime factors of o?
2
Let v be 326/22 + (-2)/(-11). Let s be 20/v + 2/3. List the prime factors of 0 + (2 - s) + 6.
2, 3
Suppose 4*q - 90 = 46. List the prime factors of q.
2, 17
Suppose 4*q - 200 = 2*v, 3*v = -3*q + 6*v + 150. List the prime factors of q.
2, 5
Suppose -4*z + 1232 = -3*u, 5*z + u = -3*u + 1509. What are the prime factors of z?
5, 61
Let v(k) = 33*k - 50. What are the prime factors of v(10)?
2, 5, 7
Let b(s) = -s**3 - 9*s**2 + 9*s + 7. List the prime factors of b(-11).
2, 3, 5
Suppose -96 = z + 3*z. List the prime factors of (-1 + 6)/((-8)/z).
3, 5
List the prime factors of (-1)/(-4) + 5031/36.
2, 5, 7
Suppose -11*f - 3 = -10*f. Let p(r) = -r**2 - 4*r. List the prime factors of p(f).
3
Let k be (9 + -2)/(2/6). List the prime factors of 6/k - (-33)/7.
5
List the prime factors of (8/14)/4 + 17464/56.
2, 3, 13
What are the prime factors of -2 + (-72)/(-5) + 4/(-10)?
2, 3
Let y(z) = -9*z + 3. What are the prime factors of y(-2)?
3, 7
Let o(q) be the first derivative of -4*q**2 - 4. What are the prime factors of o(-2)?
2
Suppose -4*m - m + 5*u + 885 = 0, 5*u - 663 = -4*m. What are the prime factors of m?
2, 43
Suppose 14*x = 11*x + 318. What are the prime factors of x?
2, 53
Let k(m) = m**3 + 11*m**2 + 9*m - 1. Let i be k(-10). Let j = i + 1. List the prime factors of (-8)/20 - (-94)/j.
3
Let s be (0 + 0)/(-1 - -2). Suppose 0*n - 5*n + 15 = s. Suppose 0 = n*k - 0*k - 9. What are the prime factors of k?
3
Suppose 4 = -f - f. List the prime factors of (4 - 0/f)/2.
2
Let x = 9 + -5. Suppose x*p + r = -80 - 10, -5*p - 108 = -r. Let w = -9 - p. List the prime factors of w.
13
Suppose 2*d + 16 = 6*d. Suppose 0 = d*g - 7*g + 93. What are the prime factors of g?
31
Let t(r) = r**3 + 8*r**2 + 3*r - 4. What are the prime factors of t(-4)?
2, 3
Suppose 40 = 2*k - 0. What are the prime factors of k?
2, 5
Let z = 671 + -373. List the prime factors of z.
2, 149
Let i(q) = -2*q**3 - 5*q**2 - q - 10. What are the prime factors of i(-6)?
2, 31
Let i(y) = -3*y - 5. Let b(x) = -15*x - 24. Let r(n) = -5*b(n) + 24*i(n). What are the prime factors of r(3)?
3
What are the prime factors of (10/(-15))/((-2)/117)?
3, 13
Let b = 12 + -19. Let t be 2 + 0/3 + b. What are the prime factors of (-96)/(-15) + 2/t?
2, 3
Suppose 6*p - 5*p - 4 = 0. Suppose 5*t + 17 = p*r, -r + 3*t + 2 = -4. Suppose 6*a - 4*a + 4*w - 20 = 0, 0 = -3*a + r*w + 21. What are the prime factors of a?
2
Let g(f) = 6*f**2 - 3*f + 2. What are the prime factors of g(2)?
2, 5
Let f = 1 + -1. Suppose 0 = 4*x - f*x + 5*b - 62, 4*b + 26 = x. List the prime factors of x.
2, 3
Let p = 0 + -1. Let k = 2 + p. Let r = 5 + k. List the prime factors of r.
2, 3
Let k be (0 + 1)/(1/4). Suppose 3*g - 2*q - 4 = 0, k*g + 0*g + 5*q = 13. Suppose 0*n - 2*a = g*n - 36, -4*a = 5*n - 95. List the prime factors of n.
23
List the prime factors of (-8)/24 - 70/(-3).
23
Suppose -29 = 4*h + 5*l - 7, -4*l = -4*h - 4. Let x be 4/(-10) + 124/10. Let j = h + x. What are the prime factors of j?
3
Let u(d) = -2*d**3 + 2*d**2 + 3*d + 2. Let t be u(-2). Suppose 0 = 4*x + t, 5*k = 2*x - 6*x - 30. List the prime factors of k/5 - (-107)/5.
3, 7
Suppose 12 = -f - 4. What are the prime factors of f/(-5)*(7 + -2)?
2
Let v(w) = -2*w + 0 + 3 - 5 + 1. Let b be v(-3). Suppose b*d - 2 = 53. List the prime factors of d.
11
Suppose -2*y + 3 = -9. Let o(z) = -z + 1. Let s(w) = -3*w + 5. Let h(c) = 6*o(c) - 3*s(c). List the prime factors of h(y).
3
Let j be (9/6)/(6/8). Suppose j*r - 43 = 3. What are the prime factors of r?
23
Let c = -40 + 25. Let v = -8 - c. List the prime factors of v.
7
Let i(j) = 3*j - 3. Let x(n) = n**2 - 7*n + 4. Let l be x(3). Let t be (-18)/l + 2/(-8). List the prime factors of i(t).
3
Let w be (4/(-12))/((-2)/(-18)). Let z be -1 + 1/(-1) + w. List the prime factors of 1*(0/(-3) - z).
5
Suppose -381 = -7*r + 172. What are the prime factors of r?
79
Let t(p) = 7*p - 8. List the prime factors of t(9).
5, 11
Let w(i) = i**3 - 3*i**2 - 4*i - 2. Let l be w(4). Let r be -2*((-10)/(-4) + 0). Let z = l - r. List the prime factors of z.
3
Suppose 5*s + 5*x + 196 - 16 = 0, -39 = s - 2*x. Let r = 9 - s. Let k = -32 + r. List the prime factors of k.
2, 7
What are the prime factors of (-22)/(-121) + 4218/33?
2
Let t(x) be the third derivative of x**6/120 - 11*x**5/60 - x**4/2 - 4*x**3/3 - x**2. Let q be t(12). What are the prime factors of ((-42)/(-8))/(-3)*q?
2, 7
Let f = -2 + 5. Let u(s) = -1 - 2 + 2 + 3*s. What are the prime factors of u(f)?
2
Let f(n) = -5*n - 18. Let z(u) = -u - 8*u - 2*u - 37. Let s(i) = -13*f(i) + 6*z(i). List the prime factors of s(7).
5
Let a be ((-6)/(-4))/((-15)/20). Let t = a + 5. Suppose 5*p + c = -0*c + 51, t = 3*c. What are the prime factors of p?
2, 5
Suppose -4*n - 46 = -6*n. List the prime factors of n.
23
Suppose -i = 4*n - 2*i - 758, -3*n - 5*i + 557 = 0. Suppose 0 = -4*a - v + 111, n = 5*a - v + 48. Suppose -a = c - 5*c. List the prime factors of c.
7
Suppose -2*n = -8 - 78. What are the prime factors of n?
43
Let q = -5 + 9. List the prime factors of -1 + q + (-2)/(-2).
2
Let o(j) be the first derivative of 6*j**4 - j**3/3 - j**2/2 + 4. Let u be o(-1). Let y = u + 43. List the prime factors of y.
19
Suppose 2*y + 0*y = 120. Suppose 2*g = 5*g - y. What are the prime factors of g?
2, 5
Suppose -q + 3*f + 6 = 4*f, 0 = 5*f - 20. Suppose -2*k + 3*x + 1 = -0, 3*k + q*x = 21. List the prime factors of k.
5
Let m = 104 - 48. List the prime factors of m.
2, 7
Let j(w) = -w + 2 - 6 + 2 + 0*w**2 + 4*w**2. List the prime factors of j(2).
2, 3
Suppose -152 = -5*l + 33. List the prime factors of l.
37
List the prime factors of 3/(15/265 + 0).
53
Let k(f) = -11*f - 37. List the prime factors of k(-16).
139
Let i(n) = -4*n - 4 + 4*n - 4*n. List the prime factors of i(-4).
2, 3
Let k(a) = -a**3 - 2*a**2 + 3*a - 2. Let p be k(2). List the prime factors of (2 + p/16)*4.
5
Let b be -4*(51/(-12) - 0). Let h = b - 12. List the prime factors of h.
5
Let w(c) be the third derivative of 0*c + c**2 - 3/2*c**3 + 1/8*c**4 + 0. List the prime factors of w(6).
3
Suppose -2*o + 3*a = -111, 0 = 2*a + 3*a - 5. What are the prime factors of o?
3, 19
Suppose 204 = 29*k - 25*k. List the prime factors of k.
3, 17
Let p(m) = -m + 8. Let c be p(11). List the prime factors of (200/(-6))/(2/c).
2, 5
Let s(q) = -q**3 + 11*q**2 + 8*q + 12. List the prime factors of s(11).
2, 5
Suppose 0 = 4*r + 2*u - 51 - 1061, -r + 4*u + 278 = 0. What are the prime factors of r?
2, 139
List the prime factors of 70/(-3)*(-198)/55.
2, 3, 7
Let j(i) = i**3 + 5*i**2 - 6*i + 7. Let k be j(-6). Let a = k + 1. List the prime factors of a.
2
Let v = -17 - -71. What are the prime factors of v?
2, 3
Let k = -8 + 6. Let s be (-122 + -1)*k/6. Let d = s - 29. What are the prime factors of d?
2, 3
Let y(l) = l**2 - 7*l - 12. List the prime factors of y(9).
2, 3
Let i be (-7 - 2/(-1)) + -2. Let x = i + 9. Suppose 2*j + 5*m = 38, j + 76 = 5*j + x*m. What are the prime factors of j?
19
Let u(i) = i**2 - 9*i + 11. Suppose 3*b = 4*b - 4. Let c(x) = -3*x**2 + 27*x - 32. Let y(s) = b*c(s) + 11*u(s). What are the prime factors of y(6)?
11
Let s(n) = n**2 + 5*n + 2. What are the prime factors of s(-6)?
2
Suppose 4*q + 3*p - 136 = -q, -4*q - 3*p = -107. List the prime factors of q.
29
Suppose 0 = -3*j + 4*h + 4, -2 = 5*j + 3*h + 1. Suppose j = 5*q - 10. List the prime factors of (q - 0) + (-4)/(-2).
2
Suppose -3*n + 13 = -4*d, 3*d = -2 - 1. Let v(k) = 7*k - 3. List the prime factors of v(n).
2, 3
Let z = -54 - -82. List the prime factors of z.
2, 7
What are the prime factors of ((-236)/10)/((-30)/150)?
2, 59
Let a(p) = -24*p + 6 - 6. What are the prime factors of a(-1)?
2, 3
What are the prime factors of 11/(55/(-14))*-25?
2, 5, 7
Let o be (-3)/((-4)/(20/3)). Suppose v - 20 = 2*y, 0*v - 37 = o*y + 4*v. Let f(g) = g**2 + 8*g - 1. What are the prime factors of f( | {
"pile_set_name": "DM Mathematics"
} |
+ 126.088. Let q = x - 0.1078. Round q to 3 decimal places.
-0.02
Let r(i) = -263*i**3 + i**2 + 3*i + 10. Let k be r(-7). Let w be -6 + 3 + k + -1. Let b = 949757 + w. What is b rounded to the nearest 100000?
1000000
Let k = -97 + 85. Let m(c) = -c**2 + 4*c - 3. Let y be m(5). Let r be 1118/y + 3/k. Round r to the nearest 100.
-100
Let h = 35.6 + 705.4. Let q = h + -740.999153. Round q to 4 dps.
0.0008
Let y = -35973.0135 - -36036. Let i = 0.357 + 62.643. Let z = y - i. What is z rounded to three dps?
-0.014
Suppose 0 = -4*u + 12 - 0. Suppose -6*t + u*t = -6060. Suppose g = 3*g + t. What is g rounded to the nearest one hundred?
-1000
Suppose -2*d - 40830 = -4*t, 0 = -9*d + 6*d + 15. Round t to the nearest 1000.
10000
Let v = 36034 - 36040.0062. Let a = v - -6. What is a rounded to 3 dps?
-0.006
Let v = -53 - -50.6. Let q = -85 + 81.3. Let n = q - v. Round n to the nearest integer.
-1
Let s(j) = -3002870*j - 90. Let t be s(-7). Round t to the nearest one million.
21000000
Let w = 0.0568 - 12.1288. Let q = -12 - w. What is q rounded to 2 dps?
0.07
Let j = -5 + -14. Let k = -10 - j. Let h(t) = 666667*t - 3. Let o be h(k). Round o to the nearest 1000000.
6000000
Let u(m) = m**2 - 6*m - 8. Let q be u(7). Let a be q/(-3)*54/2. Let o = a - 50. Round o to the nearest ten.
-40
Suppose 2*c + 4*r = -64, 4*r - 32 = 3*c + 54. Let q be (-930018)/c - (-3)/(-5). Round q to the nearest ten thousand.
30000
Let x(t) = -3*t**2 + t. Let z be x(1). Let j be (7/21)/(z/30). Round j to the nearest ten.
-10
Let f be (-8 - -3) + -8273 + -2. What is f rounded to the nearest one thousand?
-8000
Suppose -14651 = -6*y - y. Suppose -2*l - y = 3*l + w, 2*l = w - 840. Round l to the nearest 10.
-420
Suppose 0 = -6*s - 2840 + 67340. What is s rounded to the nearest one hundred?
10800
Let v be (-14137 - -1)*(-20)/15. Suppose -3*t - 29452 = v. Round t to the nearest one thousand.
-16000
Suppose 0 = 647*p - 644*p + 5622000. What is p rounded to the nearest ten thousand?
-1870000
Let t = -1356463 + 1431640.68. Let m = t - 75177.64000003. Let v = m + -0.04. What is v rounded to seven decimal places?
0
Suppose -2*o + 2*w + 2696010 = 0, 6*o - 7*o + 2*w = -1348010. Round o to the nearest 100000.
1300000
Let w = -81.0361 - -81. Let d = -67 + 66.971. Let g = d - w. Round g to 3 dps.
0.007
Let h = 0.042 + -0.042. Let c = h + -0.65. Round c to 1 dp.
-0.7
Let p = 126.3151 - 127.51. Let q = 3 + -4.22. Let w = p - q. What is w rounded to three dps?
0.025
Let v = -1128475.622 - -1207117. Let l = v + -78555. Let i = 86 - l. Round i to two decimal places.
-0.38
Let h = -8655227759 - -8654443584.000064. Let u = h + 784200. Let y = u - 25. What is y rounded to five decimal places?
0.00006
Let w = 47.06 - 1.06. Let d = -38.447699 - -84.44778. Let t = d - w. Round t to 5 dps.
0.00008
Let d = -85.7644152 + 4.7645642. Let k = d - -81. Round k to 5 dps.
0.00015
Let s = -1362.1797 + 1362. What is s rounded to one decimal place?
-0.2
Suppose -2*n = 2*q + 266, -2*q - q = -3*n - 411. Let s = n + -148. What is s rounded to the nearest ten?
-280
Let p(u) = 2*u - 24. Let k be p(15). Suppose 3*x - 2220000 = k*x. What is x rounded to the nearest one hundred thousand?
-700000
Let x = -15 - -15.02. Let r = -4.02 + x. Let j = 0.1 + r. What is j rounded to zero decimal places?
-4
Let m = -269 + 269.0093. What is m rounded to 2 dps?
0.01
Suppose -20 = -3*k + k. Let d be ((-20)/25)/((-4)/k). Suppose 5*s + 4*q = 109992, d*s - 49309 = 4*q - 5301. Round s to the nearest 10000.
20000
Let n = 1.287 + 0.053. Let s = n - 1.3399666. Round s to five decimal places.
0.00003
Let g = 50 - 60. Let u(c) = -10 - 856*c - 1272*c + 365*c + 372*c. Let s be u(g). What is s rounded to the nearest one thousand?
14000
Let f = 0.0212 - 0.02112506. Round f to 5 dps.
0.00007
Let w = 36014 + -24579. Let q = w + 4720. Let g = 23845 + q. Round g to the nearest 100000.
0
Let q(c) = 15235*c**3 - 6*c**2 + 7*c + 8. Let w be q(8). Suppose -4*g = -g + w. Round g to the nearest 1000000.
-3000000
Let j be -4 + (-4 - 4)/(-4) + -62098. Round j to the nearest 10000.
-60000
Let f = 22.91937 + -22.91. Round f to 3 decimal places.
0.009
Let t = 1574 + -1624.5. What is t rounded to 0 decimal places?
-51
Let u = 1 + -1.018. Let h = u + 0.089. What is h rounded to two decimal places?
0.07
Let a = 6597.75 + -6541.8787. Let n = a + -55.9. What is n rounded to 3 decimal places?
-0.029
Let g be (-12)/15*(-15)/2. Let c be 15600002/4 + (-3)/g. Suppose -6*r + r + c = 0. What is r rounded to the nearest 100000?
800000
Let w(n) = 4*n**2 - 2*n + 5. Let j be w(-7). Let v be 1*5000*j*-2. Round v to the nearest 100000.
-2200000
Let n = -33096150.00183 + 33095941. Let m = 501 - 292. Let c = n + m. What is c rounded to four decimal places?
-0.0018
Let b = 10 + -10.18. Let y = b + 37.58. Let p = y - 36. Round p to the nearest integer.
1
Let v = -0.39 + 11.39. Let s = 7.2 - v. What is s rounded to zero decimal places?
-4
Let q = -74970234.8100169 - -74970238. Let k = 3.19 - q. Round k to six decimal places.
0.000017
Let o = -13 + 12.999991. What is o rounded to five dps?
-0.00001
Suppose -9*y - 21853529 + 821053529 = 0. What is y rounded to the nearest one million?
89000000
Let n be 2 - 4*2/(-4). Suppose -4*h + n*y = 2*y - 6, -3*h + 8 = 2*y. Suppose 4*k + h - 486 = 0. What is k rounded to the nearest ten?
120
Suppose -10 - 5 = -5*g. Suppose p - 24 = -g*w, 4*p - 33 = -4*w + w. Suppose w*y + 2040000 = 3*y. What is y rounded to the nearest one hundred thousand?
-500000
Let g = 370 + -318.21. Let c = 1.21 + g. Let z = 52.9999957 - c. What is z rounded to 6 dps?
-0.000004
Let c = 20.2556 + -0.0756. Let z = c + -20. Let x = 0.01 - z. What is x rounded to one decimal place?
-0.2
Suppose -7*f - 50238138 - 39291862 = 0. Round f to the nearest one hundred thousand.
-12800000
Suppose 0 = -719*p + 717*p - 6740000. What is p rounded to the nearest one hundred thousand?
-3400000
Let v = 251 - -287. Let y be v - (1 + (3 - 6)). Suppose 0*f + 2*f - y = 0. What is f rounded to the nearest 100?
300
Let w = 74 + -72. Suppose 0 = -w*y - 5*t - 1832000, -y + 0*y - 2*t = 916000. What is y rounded to the nearest 100000?
-900000
Let g = -195.38 - -197. Let z = g + 15.58. Round z to the nearest 10.
20
Suppose 2*n + 8*m = 3*m + 19, -n = m - 5. Let v = n + -5. Let g be 6/(-9) - 153002/v. Round g to the nearest ten thousand.
50000
Let j = 3.274 - 3.274000603. Round j to seven dps.
-0.0000006
Let q = 556 - 555.99999682. Round q to six dps.
0.000003
Let p = -77 - -77.51. Round p to 1 dp.
0.5
Let n = -3.75 - -0.35. Let k = 28.5 - n. Let b = 29 - k. What is b rounded to the nearest integer?
-3
Let x = 17770.4962 + -17774. Let t = x - -3.5. What is t rounded to 3 decimal places?
-0.004
Let m = -3.941 - -3.9. Let k = m - 153.959. Let f = k + 153.9999823. What is f rounded to 6 decimal places?
-0.000018
Let a = -4.18345 + 4.18. What is a rounded to four dps?
-0.0035
Let o = 1.5108817 - 1.511. Round o to 5 decimal places.
-0.00012
Suppose 18*f - 22080 = 2*f. Round f to the nearest 100.
1400
Let x be 148*1 - (0 + 1). Suppose -5*z + 295 = 2*i, -63 = -3*z - 2*i + 110. Suppose -2*q - x = z. Round q to the nearest 10.
-100
Let i = 1112.25 - 1073. Round i to the nearest integer.
39
Let w = 0.08 - 2.48. Let j = w + 2.416. What is j rounded to 2 dps?
0.02
Let x = -115.8904 - -116. Let y = x - 0.12. Round y to three decimal places.
-0.01
Suppose -2*r = -4*x + 16019992, 4*x - 9612791 = -4*r - 41652799. Round r to the nearest one hundred thousand.
-8000000
Let u = 14884.4 - -4780.6. Let s = u + -19675.957. Let o = s - -11. What is o rounded to 2 dps?
0.04
Let q = 326 - 305.3. Let m = 0.0325522 - -20.6557478. Let r = m - q. What is r rounded to three dps?
-0.012
Let v = -5462787.2269887 - -5462787. Let o = 0.227 + v. Round o to 6 dps.
0.000011
Let j = 1012.999138 + -1013. Round j to four dps.
-0.0009
Let t = 0.124 - 1.802. What is t rounded to 1 decimal place?
-1.7
Let a = 2.28 - -226.72. Let q = a + -229.00000294. What is q rounded to six dps?
-0.000003
Let l = 99.800461 + -99.8. What is l rounded to four dps?
0.0005
Let d = -2.099818 + 2.1. Round d to five decimal places.
0.00018
Let h = 0.008049 - 0.008. Round h to 5 dps.
0.00005
Suppose -4*j - x + 4190 = 0, 2*j - 443 - 1659 = 3*x. Suppose 3*n + j = c - 87, -4*n + c = | {
"pile_set_name": "DM Mathematics"
} |
s**(6287/119)
Simplify ((y**(-1/3))**14*y**1*y**(-8)/y)/((y*y/(y**(2/3)*y))**(-39)/(y**1/y)**37) assuming y is positive.
y**(1/3)
Simplify (((f/((f/f**(5/7))/f))/f*f*f/(f*((f/(f**(-2/7)*f*f*f))/f)/f*f)*f*f)/((f/(f/f**(4/5))*f)/(f**(-16)/f)))**(-18) assuming f is positive.
f**(7794/35)
Simplify (d*d/(d/((d/(d/(d*(d**(1/15)*d)/d)))/d*d)*d*d)*d)**3/(d**(-39)/d*d**(4/3)) assuming d is positive.
d**(628/15)
Simplify (k/(k**(-1/46)*k))**(-33)*(k*k**47)/k**(-3/26) assuming k is positive.
k**(14172/299)
Simplify (((r/((r/r**(-6/13))/r)*(r**(-29)/r*r*r*r)/r)**(-8/9))**21)**(2/19) assuming r is positive.
r**(13328/247)
Simplify (b**(-5/3)*b*b/(b**(-3/7)/b*b)*b*b**(-1/5)*(b/(b/((b*b*(b*b**5)/b)/b)))/b)/((b**(-1)/b**(-1/2))/(b**8/(b/(b/b**(-5))))) assuming b is positive.
b**(4213/210)
Simplify ((a**(2/7)*a)**(-21/2))**(-20)*((a*a**(7/2)*a)/a**(-2/5))**(-1/4) assuming a is positive.
a**(10741/40)
Simplify (a**4*a*a**(2/13)/a)/((a*a**(-5/2))/(a**(1/3)/a*a))*(((a*a**1)/a)/a*a)**(3/13)/((a**(-7)/a)/a*a**(3/8)) assuming a is positive.
a**(4631/312)
Simplify ((s*s*s/(s*s**0/s)*((s*s*s*s**3/s)/s)/s)/(s**6*s**8))/(((s**0*s*s)/s*s/s**(-1/4)*s)/((s/(s**(-3/8)/s))/(s*s**6/s))) assuming s is positive.
s**(-119/8)
Simplify s**5*(s**(-2/5)*s)/s*(s*s*s**(-2/7)*s)**26*((s**(-1)/s)/s)**19*s**(-6)/s**(-1) assuming s is positive.
s**(461/35)
Simplify ((d**(-2/25))**(-18/5)*(d/((d*(d**(-15)/d)/d)/d))/((d*d*d**(-1/3))/d))**44 assuming d is positive.
d**(290752/375)
Simplify ((y/y**(-2/5))**(3/31))**7/(y*y*y**(-1/13)/y*y**2/y)**(-30) assuming y is positive.
y**(118161/2015)
Simplify ((c*c**(2/7))**(2/77))**29/((c**(2/7))**(-35/2)*c**(-6)*c**6) assuming c is positive.
c**(3217/539)
Simplify (((c/((c*c**(-1))/c))**(-1/8)/(c/c**(1/3))**(1/21))**13)**47 assuming c is positive.
c**(-43381/252)
Simplify ((((d**(-1/4))**(-15))**(3/16))**(-5/11))**(22/9) assuming d is positive.
d**(-25/32)
Simplify ((m/(m/m**(-3/2)))/m**0)**(39/5)*m*m**(2/11)*m*m*m/((m*m**(-2/9))/m*m)*(m**(1/2)*m)**(7/4) assuming m is positive.
m**(-22457/3960)
Simplify ((m*m*m*m*m/(m**(-10/3)/m)*m)/m*m*(((m*m/(m**4/m))/m)/m)/m)**(-8/15)/(((m*m/m**(1/4))/m*m**(-3/7)/m)/(m*m**(-1))**(-9/5)) assuming m is positive.
m**(-3401/1260)
Simplify (v/(v**(-1)/v)*v*v)**(3/14)*((v*v**1)/v)**(-2/31)*(v*v**4*(v/v**(1/3))/v)/(v**(1/3)*v)**(-33) assuming v is positive.
v**(64675/1302)
Simplify ((t**1)**(-15)*t*t*t/((t/(t**(-2/17)*t))/t)*t*t**(6/11))/((t**0)**36)**(-29) assuming t is positive.
t**(-1790/187)
Simplify (m/m**(-1)*m/(m*m**(-4/7))*m*m**0*m**(-2)*m)/((m**(-2))**(-34)/((m/m**(-2))/m**(-8))) assuming m is positive.
m**(-381/7)
Simplify (l*l**(-2/3)*l**3)**(19/2)*((l/(l**(1/2)/l))/l)**23/(l**8*l**(3/7)) assuming l is positive.
l**(1459/42)
Simplify (u*u**(-3/4)*u*u*u**(-4)*u*u*u**6*u*u**3*u*u)/(u**(-3/10)*u*u**3)**(15/7) assuming u is positive.
u**(121/28)
Simplify (((x**(-13))**10)**44)**(5/7) assuming x is positive.
x**(-28600/7)
Simplify g**(-1/11)*g*g**(-4)*g**(1/5)*(g/g**(-9))/g*(g**(-1)*g*g**(1/3))/(g/g**6*g**(-2/13)) assuming g is positive.
g**(24874/2145)
Simplify t**7*t*t**(-16)/t*t*(t**(1/4)/t)**(-4) assuming t is positive.
t**(-5)
Simplify (((q*q**(-1/22))/(((q**(-17/3)*q)/q)/q))/((q/(((q*q**27)/q)/q*q))/(q/(q*q**(2/131)))))**(-18) assuming q is positive.
q**(-871671/1441)
Simplify (((d**(-2)*d*d**(-6))/((d/d**(-3))/d)**(2/79))**(-2/29))**50 assuming d is positive.
d**(55900/2291)
Simplify r**(-1/3)*r/(r/(r**(-2)*r))*r*(r/((r/(r*r**(-2/5)))/r))/r*r**(-5)/r*r*((r**(2/9))**29)**(-9) assuming r is positive.
r**(-941/15)
Simplify ((q/(q*q**(-2/3)))**(18/11))**2*(((q*(q/(q*q*q*q**(-1/4)/q*q*q*q*q*q))/q*q)/q)/q**(-7))**0 assuming q is positive.
q**(24/11)
Simplify ((z*z**(-2/5))/z*(z**(-5)*z)/z)/(z/z**(-1/3)*z)**36*((z*z*z**(-4)*z)/z**1)**(-2/9) assuming z is positive.
z**(-4003/45)
Simplify (c/(c*c**(-2/3)))**(14/3)*c*(((c/(c/c**(3/5)*c)*c)/c)/c)/c*c**(-1)*c**(-2/9)*c*c**(2/5)/c*c*(c*c**(1/2))/c*c**(-1) assuming c is positive.
c**(25/18)
Simplify ((h/h**1*h)/h)**(-34)/(h**(-2/25)*h*(((h**(-2/9)*h)/h)/h)/h*h*h)*((h/(h*h**(-1/3)*h))/(h**5/h))/(h/((h**(2/3)*h)/h)*h**(3/5)*h) assuming h is positive.
h**(-1642/225)
Simplify ((i*i/i**(-2/49))**(1/9)/(i**(2/37))**(-1/25))**(-21) assuming i is positive.
i**(-93382/19425)
Simplify (((o*o**(2/21))/(o*o*o*o**(-1/3)/o*o*o*o))/(o**2/((o*o*o**(-8)*o*o*o)/o)))**(7/3) assuming o is positive.
o**(-67/3)
Simplify (o*o/o**12*o*o/((o/(o**(-5/6)*o)*o)/o))**(1/19)*(o**13/o*o*(o*o**(3/2))/o)**(24/11) assuming o is positive.
o**(39089/1254)
Simplify r*r**(4/11)*r**(7/4)*(((r*r*r*r/r**(-40)*r*r)/r)/r)/(r/(r**(2/37)*r)*r) assuming r is positive.
r**(75161/1628)
Simplify (z**(-4)*z)/z**(-1/7)*(z/((z/z**(1/4))/z))/z**(-3)*((z*z/z**(-2))/z)**(-41)/(z*z/(z*z*z/(z**(-4)*z)*z)*z*((z*z**1/z*z)/z)/z) assuming z is positive.
z**(-3293/28)
Simplify (d**(1/5)/((d**(5/3)*d)/d))/(d**(-1)/d**0)*((d/d**0*d)**(-7/5))**(-20/3) assuming d is positive.
d**(91/5)
Simplify ((b**(-1/2))**(-11)/((b*b/(((b/(b/b**(-1))*b)/b)/b))/b)**(-5))**10 assuming b is positive.
b**205
Simplify (((k**3/k**(-2))/(k**0*k)**(-1/4))**(6/19))**(-35) assuming k is positive.
k**(-2205/38)
Simplify ((((h*h*h*(h/(h/(h*h**1)*h))/h*h*h)/(((h/(h*h*h**(1/11)))/h)/h))**(1/6))**(-1))**15 assuming h is positive.
h**(-445/22)
Simplify (q*q**(2/19)*q**(-4/15)*q/(q*q/q**(-12)*q)*q/(q/q**3))**(-1) assuming q is positive.
q**(2896/285)
Simplify ((i**(5/4)*i*(i*i**(-5)/i)/i*i)/(i**(-2)*i**(-1)))/(i**(-2/5)/(i*i**(-4/7))*(i**(-1/2))**42) assuming i is positive.
i**(3091/140)
Simplify (((g**(-2)/g**(2/13))/(g**0)**(4/5))**(-15/2))**(-3/23) assuming g is positive.
g**(-630/299)
Simplify (w*w/(w**(-3/8)*w)*w**5/w)/(w**(1/3))**(-40)*(w**(-1/8)*w*w**13)**22 assuming w is positive.
w**(7775/24)
Simplify ((j/(j/(j*j**20)))**(-4)*j**34*j**(-16/9))**(-2/27) assuming j is positive.
j**(932/243)
Simplify (((t*t/(t/(t*t/t**(-1))*t))/t**(2/3))/(t**(-2))**(-29))/((t*t*t**(-1))**48*(t/(t/t**2))**1) assuming t is positive.
t**(-317/3)
Simplify ((u**8*u*u**(-3))/(u/(u**4/u)*u*u**(2/3)*u))/(u**(-6)*u*u/(u*(u**11/u)/u*u*u))**(2/5) assuming u is positive.
u**(176/15)
Simplify (k**(-1/3))**(-3/4)/((k*k*k*k**(-5))/(k**(1/6)/k))*(k*k*(k**(-1)*k)/k*k)**(8/3)*k**(-1/15)*(k*k/k**2*k)/k assuming k is positive.
k**(401/60)
Simplify i/(i/(i**(16/7)*i))*i**8*(i/(i**(-10/7)*i))**(-35) assuming i is positive.
i**(-271/7)
Simplify (((g**(2/9)/g*g/(g/g**(-8)))**15)**(-1/40))**6 assuming g is positive.
g**(79/4)
Simplify ((u**3/u)**(-25/4)/(u*u**(-1)*u*u)**(-4/25))**(-6/23) assuming u is positive.
u**(1827/575)
Simplify ((x**(1/45)*x**(-3/22))**30)**50 assuming x is positive.
x**(-5650/33)
Simplify ((((p**7)**(-3/20))**(-4/15))**(10/7))**(2/19) assuming p is positive.
p**(4/95)
Simplify ((m/(m**(1/7)/m))/(m*m/((m*m**8)/m*m))*m*m**(-2/7)*m*m*(m*m*m**(-2/9)*m*m)/m)/(((m**7*m)/m)/m**(2/9)*m**(-4/5)*m/m**(-8)) assuming m is positive.
m**(-22/35)
Simplify ((n/(n**3/n))/(n*n*n*(n*n**(-2/15)*n)/n*n*n))**(-11/2)/((n*n**(-2/21)*n**(3/7)*n)/(n**(-7)/(n*n**(-2)*n))) assuming n is positive.
n**(853/30)
Simplify (((w/(w*w/(w/(w/w**(-2)))))/w*w)**(25/7))**(-4)/(w/(w*w/(w/((w**(1/7)/w)/w)))*w*w**2*(w*w**(-1/3)*w)/(w*w**4*w)) assuming w is positive.
w**(127/3)
Simplify (s**(1/2)*s)**(-8/11)*(s*s**(-4/9)*s*s)/(s*s**(-1/7)*s)*(s**(-4)*s/s**(-2))/(s**(1/5))**5 assuming s is positive.
s**(-1658/693)
Simplify (a**(1/3))**50/(a**(-13))**(11/3) assuming a is positive.
a**(193/3)
Simplify ((q/(q*q**(3/4)))/q**2*(q**(-1))**(2/19))/((q*q**4*q)**(2/21))**(-48) assuming q is positive.
q**(13073/532)
Simplify q**(2/7)*q*q**(-3)*(q**0)**7*((q*q**(-1)/q)/q*q)**(-50)*q*(q/q**3)/q*q*q**(-5)/q assuming q is positive.
q**(289/7)
Simplify ((q*(q/(q/((q/(q**(-2/5)*q))/q)))/q*q)/(q**(-32)*q)*(q**(17/4))**(-35))**(1/28) assuming q is positive.
q**(-2347/560)
Simplify ((a/a**(-3)*a**(-4/5))/(a/a**(-2/7))**(3/8))/((a*a**(-2)/a*a*a*(a*a**(2/5)/a*a*a)/a)/(a**5*a/(a**(1/3)*a))) assuming a is positive.
a**(5027/840)
Simplify ((x**(-4))**47*x*x**(1/6)/x*x*x*(x*x/(((x/x**(-4))/x*x)/x))/x*x*x)**(1/30) assuming x is positive.
x**(-1121/180)
Simplify ((f**(-1/4))**14)**(-8/11)*(f**(2/11)*f**(3/8))**(-44) assuming f is positive.
f**(-483/22)
Simplify ((t*t*t**(-27/5)*t)/t)/t*t**(-32)*(t**(-40)/t)**(1/5) assuming t is positive.
t**(-2 | {
"pile_set_name": "DM Mathematics"
} |
*l
Differentiate 8*k**3*l + 917*k**3 + k**2*l**3 - 5*k*l wrt l.
8*k**3 + 3*k**2*l**2 - 5*k
Find the second derivative of -2160*q**2 - 774*q + 1.
-4320
What is the second derivative of 28209*f**2*n**2 - 10287*f**2*n + 2*n wrt n?
56418*f**2
Differentiate 2*f**3 + 176*f + 849 with respect to f.
6*f**2 + 176
What is the second derivative of -1791*j**2 - 1212*j?
-3582
Find the second derivative of 7*v**3 - 2*v**2 - 1111*v.
42*v - 4
What is the second derivative of -113*b**2*k**3 - 2*b*k**3 - 31*k**3 - 2*k**2 wrt b?
-226*k**3
Find the second derivative of -81*j**2*r**3 + 8*j**2*r**2 + 2*j**2*r + 12*j**2 wrt r.
-486*j**2*r + 16*j**2
What is the third derivative of 2*r**5 + 27*r**4 + 3*r**2 - 29*r?
120*r**2 + 648*r
What is the second derivative of 2*i**3 + i**2*n**3 - 138*i**2*n - i*n**3 + 4*i*n - 3*n**3 wrt i?
12*i + 2*n**3 - 276*n
Find the second derivative of -17*d**2*j**2 + 2*d**2*j - d*j**2 - 6*d wrt d.
-34*j**2 + 4*j
What is the derivative of 1739*o*p - 1603*p - 1 wrt o?
1739*p
Differentiate 13*w**3*y - w**2*y**3 + 13*w*y**2 + 14*y**3 - 4 with respect to w.
39*w**2*y - 2*w*y**3 + 13*y**2
What is the derivative of 2*a*i*x**3*y + 2*a*i*y - 348*a*i - 29*a*x**3 + 3*a*x*y + a wrt i?
2*a*x**3*y + 2*a*y - 348*a
Find the third derivative of -22211*w**3 - 4*w**2 + 2*w - 131 wrt w.
-133266
Differentiate 68*s**4*y**2 + 19*s**3*y**2 + 2503*y**2 with respect to s.
272*s**3*y**2 + 57*s**2*y**2
Find the second derivative of 322*z**4 - 523*z - 2 wrt z.
3864*z**2
Differentiate 9*m*q*y - 8*m*q + 2*q*y + q wrt y.
9*m*q + 2*q
What is the third derivative of -2*o*s**4 + 2*o*s**2 - 2*o*s + 2000*s**6 - 33*s**2 - 3 wrt s?
-48*o*s + 240000*s**3
What is the derivative of -63*w**3 - w**2*y**3 + 2*w*y**2 - 1839*y**3 + 2 wrt w?
-189*w**2 - 2*w*y**3 + 2*y**2
Differentiate -30*k*m**2*q**2 + 2*k*m**2 - 7*k*q - 7*k - 2*m*q**3 + 3 wrt q.
-60*k*m**2*q - 7*k - 6*m*q**2
Find the second derivative of -3*g**3*x**2*z**2 + 8*g**3*x**2*z + 52*g**3*x*z**2 + 2*g**3 - 8*z wrt z.
-6*g**3*x**2 + 104*g**3*x
What is the third derivative of -174*s**6 - s**5 + s**2 - 264*s wrt s?
-20880*s**3 - 60*s**2
Differentiate -2*n*t**3*v + 30*n*t**3*w - 3*n*t**2*v*w - t**3*v - 7*t**2 - 9*v with respect to w.
30*n*t**3 - 3*n*t**2*v
Find the second derivative of 219*p**2*u**2 - 7*p**2*u + 15*u wrt u.
438*p**2
What is the second derivative of 3*l*s**5 + l*s**4 - 6*l*s**3 - l*s + 102*s wrt s?
60*l*s**3 + 12*l*s**2 - 36*l*s
What is the third derivative of -31*l**4 + l**3 - 12059*l**2?
-744*l + 6
What is the second derivative of -1597*f**3 - 2*f + 3044 wrt f?
-9582*f
Find the third derivative of 1033*u*w**3 - 10*u*w**2 - 2*u*w - w**3 + 26*w wrt w.
6198*u - 6
Find the second derivative of -2*f*v**2*y**2 + 1778*f*v**2 + 2*f*v*y**2 + 2*f*v + 2*f*y - 38*v*y**2 - 4*y wrt v.
-4*f*y**2 + 3556*f
Find the second derivative of 2*c**4*r + 56*c**3*r**3 + 2*c**2 + 126*c*r**3 + c*r wrt c.
24*c**2*r + 336*c*r**3 + 4
Differentiate -17*r**3 - 12*r**2 - 1574 with respect to r.
-51*r**2 - 24*r
What is the derivative of 15167*x + 15043 wrt x?
15167
What is the second derivative of 3*z**5 + 103*z**3 - 312*z wrt z?
60*z**3 + 618*z
What is the first derivative of -2*c**3*p + 20*c**2*p - c**2 - 490*p wrt c?
-6*c**2*p + 40*c*p - 2*c
What is the third derivative of 461*f**3*g + 18*f**3 - 3*f**2*g + 9*f + 15*g wrt f?
2766*g + 108
What is the third derivative of -q**4 + 2980*q**3 + 2*q**2 - 242?
-24*q + 17880
Find the second derivative of 4*j**5 + 19*j**3 - 3322*j wrt j.
80*j**3 + 114*j
Differentiate -2*p**4 + 3769*p**3 + 1771.
-8*p**3 + 11307*p**2
What is the second derivative of -27*m**3 + m**2 - 77*m wrt m?
-162*m + 2
What is the second derivative of 174*c**4 - 2*c**3 - 1614*c wrt c?
2088*c**2 - 12*c
What is the second derivative of -171*i**4*y + 76*i*y - 2*i wrt i?
-2052*i**2*y
What is the first derivative of 4*h*j**2*o**2 + 35*h*o**2 - 3*h*x - 1126*j**2*o**2 - j*o**2*x wrt h?
4*j**2*o**2 + 35*o**2 - 3*x
Differentiate -7639*d - 8597 with respect to d.
-7639
Differentiate -1152*p + 634.
-1152
Find the third derivative of -1558*o**6 - 6*o**2 - 8*o.
-186960*o**3
Find the third derivative of 2697*x**5 + 38*x**2 + 2*x + 11.
161820*x**2
What is the third derivative of 51*x**6 + x**4 - 12*x**2 - 2*x?
6120*x**3 + 24*x
What is the second derivative of -n**2*p*y - 4*n**2*y**2 + 120*n**2*y - 3*n*p**3*y**2 - 21*p**3*y**2 - 2*p**3*y wrt y?
-8*n**2 - 6*n*p**3 - 42*p**3
What is the derivative of -3*g**4 - 6*g**2 + 146?
-12*g**3 - 12*g
What is the third derivative of -15*a**4 + 18*a**3 - 470*a**2 + 1 wrt a?
-360*a + 108
What is the second derivative of -2845*n**5 + 27*n + 8 wrt n?
-56900*n**3
Differentiate 107*h - 22 wrt h.
107
Find the first derivative of f**2*u + 44*f*m**3*u**2 - 31*f*m**3 - 771*m**3*u + 8*m*u**2 wrt f.
2*f*u + 44*m**3*u**2 - 31*m**3
What is the third derivative of 38*h**3*p**5 + 171*h**3*p**3 + 1633*h**3*p**2 - 2*h**3 + 2*p**2 wrt p?
2280*h**3*p**2 + 1026*h**3
What is the second derivative of 404*w**2 + 126*w?
808
What is the first derivative of 517*c**4 + 480 wrt c?
2068*c**3
Find the first derivative of 2*m*n**3 + 4308*m*n**2 + m + 36 wrt n.
6*m*n**2 + 8616*m*n
What is the third derivative of -6*d**5 + 15*d**4 + 4*d**2 - 3*d?
-360*d**2 + 360*d
What is the third derivative of -91*b**5 - 3*b**4 + 79*b**2 wrt b?
-5460*b**2 - 72*b
What is the second derivative of -40*i*k**2*r + 2*i*k**2 + 2*i*k*r**2 + 19*k**2*r**2 + 4*k*r + 2*r**2 wrt r?
4*i*k + 38*k**2 + 4
Find the second derivative of 3*k*w**2 - 142*k*w + 17*w**2 wrt w.
6*k + 34
What is the third derivative of -2*c**4*t - 5*c**4 - 2*c**3 + 252*c**2*t - 2*c*t wrt c?
-48*c*t - 120*c - 12
Find the third derivative of 587*r*x**3 - 515*r*x**2 + 2*r*x - 2*x**3 wrt x.
3522*r - 12
Find the third derivative of -188*k**3*s**2*t**3 - 4*k**3*s*t**3 + k**2*s**2*t**3 + 2*s*t**3 - 388*s*t wrt k.
-1128*s**2*t**3 - 24*s*t**3
Find the second derivative of -785*x**5 - 2*x**2 - 4807*x - 2 wrt x.
-15700*x**3 - 4
What is the third derivative of 17*q**3 + 2*q**2 - 17 wrt q?
102
Find the second derivative of -2*u**2*z + 80*u**2 + 4*u - 32*z wrt u.
-4*z + 160
What is the derivative of -226*r - 501 wrt r?
-226
What is the first derivative of -2*j*x**3 + 74*j*x - 764*j - x**3 wrt x?
-6*j*x**2 + 74*j - 3*x**2
Find the third derivative of -b**5*y**3 + 509*b**5 - 147*b**2*y**2 - y**3 wrt b.
-60*b**2*y**3 + 30540*b**2
Differentiate 19*s**4*v**2 - 48*s*v**2 - 1452*v**2 wrt s.
76*s**3*v**2 - 48*v**2
Find the second derivative of 6049*u**2 - 8*u + 256 wrt u.
12098
What is the second derivative of 53*f*i**3 - 5*f*i + 416*f + i**2 wrt i?
318*f*i + 2
What is the third derivative of -1422*a**2*l**5 + 2*a**2*l**2 - 26*a**2 - 25 wrt l?
-85320*a**2*l**2
Find the third derivative of -2*n*t**4 - 3*n*t**3 - n*t**2 - 2*n + 108*t**5 + 1082*t**2 + 1 wrt t.
-48*n*t - 18*n + 6480*t**2
What is the derivative of -3*t**3*w**2 - 4*t**3*w + 2*t**3 - 20*t - 37*w**2 - 10 wrt w?
-6*t**3*w - 4*t**3 - 74*w
What is the second derivative of c**3*q**2 + 17*c**2*q**3 + c*q**3 + 33*c*q - 6 wrt c?
6*c*q**2 + 34*q**3
Find the third derivative of 12*m*y**3 - m + 40*y**4 + y**2 + 1 wrt y.
72*m + 960*y
What is the third derivative of -1437*n**3*w**3 + 10*n**3*w**2 + 86*n**3 wrt w?
-8622*n**3
What is the first derivative of 5*q*u**3*v - q*u**3 + 432*q*u*v**2 + 62*u**3 - 2*u*v**2 - 3*u*v + 1 wrt q?
5*u**3*v - u**3 + 432*u*v**2
What is the first derivative of 3649*r**3 - 2105?
10947*r**2
What is the first derivative of -12684*h**2 + 32311 wrt h?
-25368*h
What is the second derivative of 40*l**3*m**2 + l**3*m - 1349*l**3 - 10*l**2*m**3 - m**2 wrt m?
80*l**3 - 60*l**2*m - 2
Find the first derivative of -42*i**4 + 2*i*r - 3*i + 244*r + 27 wrt i.
-168*i**3 + 2*r - 3
Differentiate -6663*q**2*w + 4*q**2 - 2*w**4 - 914 wrt w.
-6663*q**2 - 8*w**3
What is the derivative of -n**3*o + 12*n**3 - 10*n*o**2 - 296*o**2 wrt n?
-3*n**2*o + 36*n**2 - 10*o**2
What is the derivative of -2072*n + 4239?
-2072
Differentiate 206*u - 211 with respect to u.
206
Find the second derivative of -524*c**2 + 69*c - 2 wrt c.
-1048
Differentiate 187*m**4*s**2 - 2*m**2*s**3 - 66*s**3 - s**2 wrt m.
748*m**3*s**2 - 4*m*s**3
Differentiate 359*v**3 - 2*v + 5255 with respect to v.
1077*v**2 - 2
Differentiate 979*d*m**2 - 394*m**2 wrt d.
979*m**2
What is the second derivative of 482*q**2 | {
"pile_set_name": "DM Mathematics"
} |
litres.
0.007352638
How many kilograms are there in five quarters of a tonne?
1250
What is 5916.292 micrograms in tonnes?
0.000000005916292
What is 0.66259 days in nanoseconds?
57247776000000
Convert 4.570201 litres to millilitres.
4570.201
What is 93.54028 days in minutes?
134698.0032
What is twenty-one fifths of a litre in millilitres?
4200
How many millilitres are there in 7/8 of a litre?
875
What is 5.965187 millennia in years?
5965.187
What is 0.5083752ng in micrograms?
0.0005083752
How many decades are there in 2.1238239 months?
0.0176985325
What is 0.212127l in millilitres?
212.127
How many millimeters are there in fifteen quarters of a meter?
3750
How many grams are there in 98.41456 milligrams?
0.09841456
Convert 3027.33 kilograms to tonnes.
3.02733
How many nanometers are there in 1874.315km?
1874315000000000
Convert 213970.4 milligrams to kilograms.
0.2139704
Convert 9.538072 millimeters to kilometers.
0.000009538072
How many litres are there in 6876.995ml?
6.876995
What is 0.7908184 kilograms in tonnes?
0.0007908184
How many years are there in eleven halves of a decade?
55
How many millilitres are there in thirty-seven fifths of a litre?
7400
Convert 861.4682 millilitres to litres.
0.8614682
How many minutes are there in thirteen fifths of a day?
3744
Convert 284123.3 millennia to years.
284123300
Convert 0.1411722 tonnes to kilograms.
141.1722
What is 0.0560601 hours in seconds?
201.81636
How many nanometers are there in 4.345323 kilometers?
4345323000000
What is 51/4 of a minute in seconds?
765
How many months are there in 53/4 of a decade?
1590
What is 3/5 of a day in seconds?
51840
How many centimeters are there in 5/4 of a meter?
125
Convert 41947.39mg to kilograms.
0.04194739
What is 697348.8 minutes in seconds?
41840928
What is fifty-five quarters of a kilometer in meters?
13750
What is 37/5 of a century in months?
8880
Convert 484.0686 years to months.
5808.8232
How many centuries are there in 107596.89 months?
89.664075
How many kilograms are there in 7/2 of a tonne?
3500
How many millilitres are there in 45/4 of a litre?
11250
What is 924061.2 centimeters in meters?
9240.612
What is 635.31 nanometers in kilometers?
0.00000000063531
What is 6/25 of a litre in millilitres?
240
How many millilitres are there in 13002.7 litres?
13002700
What is thirty-one fifths of a century in decades?
62
What is seven thirds of a day in hours?
56
What is four fifteenths of a hour in seconds?
960
What is 45/4 of a second in milliseconds?
11250
What is 13/4 of a litre in millilitres?
3250
What is 31/5 of a litre in millilitres?
6200
How many decades are there in thirteen quarters of a millennium?
325
What is 1363.64949 minutes in weeks?
0.1352826875
Convert 1095.77um to centimeters.
0.109577
Convert 6.093852ml to litres.
0.006093852
What is 5.680871kg in milligrams?
5680871
Convert 90743.21 kilometers to millimeters.
90743210000
Convert 4.317271 micrometers to centimeters.
0.0004317271
How many litres are there in 0.7359116ml?
0.0007359116
How many nanoseconds are there in 65036.28ms?
65036280000
What is three eighths of a meter in millimeters?
375
What is 11.04026 grams in tonnes?
0.00001104026
What is 0.4770596ng in kilograms?
0.0000000000004770596
What is 3/50 of a second in milliseconds?
60
What is seven halves of a litre in millilitres?
3500
What is 2.453063m in centimeters?
245.3063
What is 4893.495g in nanograms?
4893495000000
What is 0.4735434ml in litres?
0.0004735434
How many decades are there in seventy-six fifths of a century?
152
What is 10.5573 centimeters in nanometers?
105573000
How many meters are there in 2604.208 nanometers?
0.000002604208
How many nanoseconds are there in 34/5 of a microsecond?
6800
Convert 483.664 weeks to minutes.
4875333.12
What is 4759.369km in centimeters?
475936900
Convert 0.3929369mm to kilometers.
0.0000003929369
How many kilometers are there in 417.22um?
0.00000041722
Convert 568360.8ml to litres.
568.3608
What is one sixth of a hour in minutes?
10
How many nanoseconds are there in one quarter of a microsecond?
250
How many grams are there in 33324.6 tonnes?
33324600000
How many centimeters are there in 1/4 of a kilometer?
25000
How many centuries are there in 9136.12 years?
91.3612
What is 34/5 of a micrometer in nanometers?
6800
What is 3/10 of a day in seconds?
25920
What is 2757.186s in nanoseconds?
2757186000000
Convert 0.4203138 micrometers to millimeters.
0.0004203138
Convert 0.4828543ml to litres.
0.0004828543
Convert 767699.7 litres to millilitres.
767699700
Convert 13.20533 weeks to nanoseconds.
7986583584000000
How many minutes are there in 2053.889 weeks?
20703201.12
How many minutes are there in 11/10 of a week?
11088
How many millilitres are there in eleven halves of a litre?
5500
What is eleven tenths of a century in years?
110
How many seconds are there in 29/2 of a minute?
870
How many millilitres are there in one tenth of a litre?
100
What is sixty-four fifths of a litre in millilitres?
12800
Convert 0.5853904 decades to years.
5.853904
How many months are there in 5/6 of a year?
10
How many millimeters are there in thirty-one halves of a meter?
15500
What is fifty-four fifths of a tonne in kilograms?
10800
Convert 0.952157 centuries to decades.
9.52157
How many nanoseconds are there in twenty-one halves of a microsecond?
10500
What is 19266.72 litres in millilitres?
19266720
What is one quarter of a kilometer in centimeters?
25000
What is 3/25 of a kilometer in centimeters?
12000
Convert 4785.761m to millimeters.
4785761
What is three tenths of a millennium in decades?
30
Convert 6.524501 centuries to years.
652.4501
How many litres are there in 0.570266ml?
0.000570266
What is 12633.456 months in centuries?
10.52788
What is 25/2 of a tonne in kilograms?
12500
What is 2913242.4 seconds in hours?
809.234
What is 25/2 of a kilogram in grams?
12500
Convert 346.464 months to centuries.
0.28872
How many seconds are there in 65/3 of a hour?
78000
How many millilitres are there in 7.15929l?
7159.29
What is 27745.28 micrograms in milligrams?
27.74528
How many nanometers are there in 27159.07 centimeters?
271590700000
What is 2/7 of a week in hours?
48
What is 88.00265ml in litres?
0.08800265
How many kilograms are there in 1/20 of a tonne?
50
How many millimeters are there in 649.177m?
649177
How many months are there in 739.3728 centuries?
887247.36
How many months are there in one fifth of a millennium?
2400
What is 87.58685l in millilitres?
87586.85
How many seconds are there in 17/2 of a minute?
510
Convert 72.24273 meters to millimeters.
72242.73
How many millimeters are there in 600.5406cm?
6005.406
How many months are there in 19/4 of a millennium?
57000
What is 2/15 of a week in minutes?
1344
How many millilitres are there in 943.156l?
943156
What is six fifths of a decade in years?
12
What is two ninths of a week in minutes?
2240
What is twenty-one quarters of a day in hours?
126
Convert 0.1938744 litres to millilitres.
193.8744
What is 144.116t in grams?
144116000
How many years are there in fourty-two fifths of a century?
840
What is 45/2 of a litre in millilitres?
22500
What is seventy-six fifths of a litre in millilitres?
15200
What is 0.8571948 centuries in months?
1028.63376
What is twenty-nine halves of a centimeter in millimeters?
145
How many millilitres are there in 3/25 of a litre?
120
Convert 96.27397ml to litres.
0.09627397
Convert 597.8062 millilitres to litres.
0.5978062
How many centuries are there in twenty-six fifths of a millennium?
52
What is seven halves of a hour in seconds?
12600
Convert 52.05909 litres to millilitres.
52059.09
How many millilitres are there in eleven quarters of a litre?
2750
How many millilitres are there in 18/5 of a litre?
3600
What is 25/2 of a kilogram in grams?
12500
How many grams are there in 1/10 of a kilogram?
100
How many millilitres are there in eleven eighths of a litre?
1375
Convert 0.36535 decades to years.
3.6535
What is eleven sevenths of a week in days?
11
How many years are there in one quarter of a millennium?
250
What is fourty-two fifths of a litre in millilitres?
8400
What is twenty-three sixths of a hour in seconds?
13800
What is 9.257849kg in milligrams?
9257849
How many decades are there in 59/5 of a millenn | {
"pile_set_name": "DM Mathematics"
} |
What is the closest to -2 in 1/5, -0.1, 5?
-0.1
Which is the closest to 0.1? (a) 0.06 (b) 211 (c) 5
a
What is the closest to -2/7 in -6, -0.1, -0.2, 0.056?
-0.2
Which is the closest to -0.2? (a) 0.2 (b) 58 (c) -5
a
Which is the closest to -0.2? (a) -7 (b) 1 (c) 9
b
What is the nearest to 0 in 4, -3.7, -0.3?
-0.3
Which is the nearest to 1/3? (a) 1 (b) -6 (c) 3/8 (d) -3/5
c
What is the closest to 0.3 in 1/7, 3/4, 16?
1/7
What is the nearest to 1 in 7, -2/23, -2/3, -0.2?
-2/23
What is the nearest to 3 in -1, -1/5, -0.4?
-1/5
Which is the nearest to 0? (a) -6 (b) -0.3 (c) -2/9 (d) 0
d
What is the closest to -1/3 in 1/171, -1/4, 0.3, -2/7?
-2/7
Which is the nearest to -0.03? (a) 3/4 (b) 3 (c) -9
a
Which is the nearest to 1/2? (a) 134 (b) 4 (c) -6/11
c
Which is the closest to 0.1? (a) 3/7 (b) -92 (c) 2/7 (d) 1/2
c
What is the closest to 0 in -2, -5, 2/9, 85?
2/9
What is the nearest to -0.1 in -1/4, 0.1, 6, -19?
-1/4
Which is the nearest to -3? (a) 2/15 (b) 2/3 (c) -2/3 (d) 7
c
What is the nearest to 0.2 in -2/7, 49, -5?
-2/7
Which is the closest to -1? (a) 2/3 (b) -5 (c) 1.5
a
What is the closest to -4 in -1.1, -1, 2/5?
-1.1
What is the nearest to 0.2 in -3, -0.2, 9?
-0.2
Which is the closest to -2/7? (a) -1/10 (b) 1/2 (c) -3/17 (d) 10
c
What is the nearest to 4/17 in 0.03, -4, 5, 2?
0.03
What is the nearest to -10 in -2/7, -2, 1/4, 15?
-2
Which is the nearest to -0.035? (a) 4 (b) -0.4 (c) 0.2 (d) -4/5
c
What is the closest to 1 in 3, -1/19, -0.1, -0.7?
-1/19
Which is the nearest to -1? (a) -3/2 (b) -1 (c) -0.7 (d) 7
b
Which is the closest to 1/7? (a) -1 (b) 2 (c) 0.3 (d) -3
c
Which is the closest to 0.1? (a) 5 (b) 4 (c) -37
b
Which is the closest to -0.3? (a) 3 (b) -0.5 (c) -4
b
Which is the nearest to -0.1? (a) 1/217 (b) 2/5 (c) -2/9
a
Which is the closest to 2? (a) 0.5 (b) 0.7 (c) 1 (d) 0.4
c
Which is the closest to 4? (a) -0.3 (b) 7/8 (c) -7
b
What is the closest to 10 in 0.5, -3, -20, 1?
1
Which is the nearest to 2/37? (a) 2 (b) -6 (c) -3 (d) 0.4
d
Which is the closest to 711? (a) 2/7 (b) 0.3 (c) 3 (d) -5
c
Which is the closest to 0.02? (a) 1/4 (b) -5 (c) 0.08 (d) 2/7
c
What is the nearest to 16 in -4, 3, -5?
3
Which is the closest to 1? (a) -1 (b) 2/33 (c) -4 (d) 3/5
d
What is the nearest to -12 in -3, -0.5, 2/11?
-3
What is the closest to 2/5 in -2/5, -45, 3/8?
3/8
Which is the nearest to -1.4? (a) 1/4 (b) 6 (c) 2/9 (d) -4
c
What is the closest to 5 in 2/7, 6/5, 5?
5
Which is the closest to -2/7? (a) 1.53 (b) -2/23 (c) -3 (d) 2
b
Which is the closest to -61? (a) -2 (b) -2/15 (c) 5
a
Which is the closest to 1? (a) 19 (b) -2 (c) -14 (d) 0.1
d
What is the closest to 1/4 in 0.044, 2/9, -2, 1?
2/9
What is the closest to -0.2 in 14, 6, 2, -3?
2
Which is the closest to 0.1? (a) 3 (b) -10 (c) 0.1
c
What is the nearest to 0 in -0.3, -4/13, -1/5, -2/15?
-2/15
What is the closest to -45/8 in -5, 0.4, 4/3?
-5
What is the closest to 9 in 4/7, 2/21, 2?
2
What is the nearest to 0.1 in -1/4, -0.6, 5, -3?
-1/4
Which is the nearest to -0.2? (a) -5 (b) -0.4 (c) -5/7 (d) 0.3
b
What is the closest to -1 in -0.7, 4, 2/9?
-0.7
What is the closest to -1 in 2/3, 2.44, 0.5, 0?
0
What is the closest to -2 in 0, -1, 0.1?
-1
What is the closest to 0 in -0.38, 0, -0.3?
0
Which is the nearest to -10? (a) -2/5 (b) 8 (c) 2
a
What is the closest to -1/3 in -5, 2, 9/7, 4?
9/7
What is the nearest to 2/7 in 0.1, -3, -4, 0.5?
0.1
What is the nearest to 10 in -8, -2/9, -0.2?
-0.2
What is the closest to -11/5 in -4, -2/7, -1/8?
-4
What is the closest to 2/3 in 1/4, 0.1, -0.1, -1/4?
1/4
Which is the nearest to -0.2? (a) -2/9 (b) -2/19 (c) -7
a
What is the nearest to 0 in 0.5, -2, -3, -5?
0.5
Which is the closest to -6/11? (a) 3 (b) -5 (c) -4
c
Which is the nearest to 0.1? (a) -3/5 (b) -2 (c) -0.041 (d) 0.1
d
What is the nearest to 0.7 in -5, -2/7, 2/21, -2/19?
2/21
Which is the nearest to -2/3? (a) 2 (b) -2/19 (c) -1/2
c
What is the nearest to 1/2 in -1/2, 0.4, 0.3, -5?
0.4
What is the closest to 1 in -5, 3, -1/3, -0.1?
-0.1
Which is the nearest to 0.1? (a) -7/6 (b) -4 (c) -0.3
c
Which is the closest to -1? (a) -17 (b) 1/2 (c) -0.5 (d) 1/4
c
What is the closest to -0.1 in -0.8, 4, 0?
0
What is the nearest to -1 in 23, -0.6, -1/2, -0.2?
-0.6
What is the nearest to 0.17 in 0, -1/9, 2, -1?
0
Which is the closest to 3? (a) 0 (b) -5 (c) 70
a
What is the closest to -18 in 0, -1, 4, 0.4?
-1
What is the nearest to 0.1 in 0.1, 79, 3?
0.1
Which is the closest to 1? (a) 0 (b) -4/7 (c) 0.079 (d) -1
c
What is the closest to 1 in 0.3, -0.03, -0.3?
0.3
What is the closest to 3 in -0.1, 17, -5, 3?
3
Which is the closest to 1? (a) -0.2 (b) 2 (c) 2/9 (d) 0.08
c
Which is the nearest to -3.7? (a) 4 (b) 46 (c) -4
c
What is the closest to 0.2 in 1, 2/31, 5, -0.5?
2/31
What is the nearest to -1 in -18/17, -0.4, 1?
-18/17
What is the nearest to 36/5 in -3, -6, -1/4, 3?
3
Which is the nearest to -2? (a) -12 (b) 1 (c) -1/152
c
What is the nearest to -12 in -2/13, 2/9, -580?
-2/13
Which is the closest to 6/7? (a) 3 (b) 4 (c) 0.2
c
What is the closest to -15 in 0.4, 31, -5, 0.5?
-5
What is the nearest to -3 in 34, 2, 0.1?
0.1
What is the nearest to 7 in -0.2, -1, 4, -5?
4
Which is the closest to 0? (a) 0.08 (b) 1/3 (c) 0.4
a
Which is the nearest to 6? (a) 5/3 (b) -5/6 (c) 5 (d) 1/3
c
Which is the closest to 1? (a) 2 (b) -0.4 (c) 1 (d) 2/33
c
What is the nearest to 2/7 in -4, 4, 0.5, 207?
0.5
What is the closest to -24 in 0.1, -0.1, 10, -3?
-3
Which is the nearest to -3? (a) -1/6 (b) -4 (c) 279
b
Which is the nearest to 2? (a) 0.5 (b) -1/4 (c) 2
c
What is the closest to -0.5 in -0.5, 2/5, -0.2, 21?
-0.5
Which is the closest to 91? (a) -1/3 (b) -0.3 (c) -2
b
Which is the closest to -1? (a) 0.099 (b) 8 (c) 0
c
What is the closest to 3 in 0, -0.5, 0.03, 1/3?
1/3
What is the nearest to -0.1 in -0.126, -13, 0.2?
-0.126
Which is the closest to 2/3? (a) 0.2 (b) 5 (c) -0.1 (d) -1
a
What is the closest to 2 in -14, -5, -5/3, 3.1?
3.1
What is the closest to 1 in 0.1, 2/7, 3/2?
3/2
What is the nearest to -0.36 in -5/13, -2/3, 0.5?
-5/13
What is the nearest to 0.2 in 0.066, 0, 3?
0.066
What is the closest to 9 in 0.5, 1/4, 0.11, -3?
0.5
What is the nearest to 0 in 2/9, -0.22, -2/3?
-0.22
Which is the nearest to 7? (a) -2 (b) -1/4 (c) 1
c
Which is the nearest to 2? (a) -45 (b) 0.2 (c) 1
c
Which is the nearest to 98/3? (a) -2/5 (b) 5 (c) 1
b
Which is the nearest to 0? (a) 7 (b) 8 (c) 12
a
What is the closest to -0.1 in 0.352, -1, 1/11?
1/11
Which is the nearest to 1/5? (a) 2/11 (b) -1/17 (c) 1/12 (d) -0.4
a
Which is the nearest to 1? (a) 0 (b) -0.6 (c) 4/9 (d) 4
c
What is the closest to -1 in -0.3, -24, -10, -2/5?
-2/5
What is the nearest to 2/5 in 0.1, 1, 2/5, -0.1?
2/5
Which is the closest to 2? (a) -4.42 (b) -0.5 (c) -2/5 (d) 2/3
d
What is the closest to -3/5 in 0.5, -2, 5/6, -2/11?
-2/11
What is the nearest to 22 in -1, -3, -5, -2?
-1
What is the closest to -35 in 5, -0.2, -1?
-1
Which is the closest to -0.1? (a) 4 (b) 0.04 (c) 46
b
What is the nearest to -2/7 in 24, -3, -16, 0?
0
Which is the nearest to 2? (a) -1/11 (b) 0 (c) 22
b
What is the closest to 0 in 4, -5, -0.1, -3/7?
-0.1
What is the closest to 52 in -3, -4/3, 3/8?
3/8
Which is the nearest to 0? (a) -2 (b) 2/15 (c) -1/3 (d) 56
b
Which is the nearest to -0.1? (a) -1/2 (b) -39/2 (c) -2/3 (d) -0.4
d
What is the nearest to -3/4 in -2/3, -2, -6, -0.3?
-2/3
What is the closest to -11/8 in 0.3, -1/3, -0.4?
-0.4
Which is the closest to 0? (a) -0.3 (b) -2 (c) -0.03
c
Which is the closest to -4? (a) 3 (b) -0.37 (c) -4
c
Which is the nearest to 0.4? (a) -1 (b) -1/15 (c) -6
b
Which is the nearest to 0.1? (a) 0.9 (b) -6 (c) -3/4
a
What is the nearest to 0.1 in 0.2, -12/7, -0.1, -1/4?
0.2
What is the nearest to 1 in -0.03, -1, -16?
-0.03
What is the nearest to 23 in -1/15, 0, 1?
1
What is the nearest to -1/1077 in 4, 0.1, 3?
0.1
What is the nearest to 10 in 2/7, -2/5, -3?
2/7
Which is the nearest to -0.9? (a) 0.3 (b) -3 (c) -2
c
What is the nearest to -1 in 19/3, -18, 0.3?
0.3
What is the nearest to 1 in -5, -0.18, -0.02?
-0.02
What is the close | {
"pile_set_name": "DM Mathematics"
} |
x - 5
What is the v'th term of -40, -108, -204, -328?
-14*v**2 - 26*v
What is the y'th term of 724, 730, 742, 760, 784?
3*y**2 - 3*y + 724
What is the q'th term of 374, 372, 370?
-2*q + 376
What is the w'th term of 9, 33, 75, 135?
9*w**2 - 3*w + 3
What is the w'th term of 148, 299, 450, 601, 752, 903?
151*w - 3
What is the j'th term of -111, -372, -807, -1416, -2199?
-87*j**2 - 24
What is the n'th term of 92, 79, 58, 29, -8, -53?
-4*n**2 - n + 97
What is the a'th term of 1593, 1603, 1613?
10*a + 1583
What is the l'th term of 4, -4, -18, -38?
-3*l**2 + l + 6
What is the r'th term of 57, 67, 101, 171, 289, 467?
2*r**3 - 4*r + 59
What is the g'th term of -313, -544, -775?
-231*g - 82
What is the n'th term of 1598, 3200, 4802?
1602*n - 4
What is the a'th term of 105, 103, 101, 99?
-2*a + 107
What is the d'th term of -5, -12, -29, -62, -117?
-d**3 + d**2 - 3*d - 2
What is the b'th term of -14, -27, -40, -53, -66, -79?
-13*b - 1
What is the y'th term of -614, -612, -610, -608?
2*y - 616
What is the c'th term of 6, -11, -58, -141, -266, -439, -666?
-c**3 - 9*c**2 + 17*c - 1
What is the p'th term of -762, -1526, -2290, -3054, -3818?
-764*p + 2
What is the r'th term of 49, 79, 99, 103, 85?
-r**3 + r**2 + 34*r + 15
What is the m'th term of 32, 17, 2, -13, -28?
-15*m + 47
What is the v'th term of -242, -460, -676, -890, -1102?
v**2 - 221*v - 22
What is the t'th term of 17, 24, 41, 74, 129?
t**3 - t**2 + 3*t + 14
What is the v'th term of -2, -4, -8, -14?
-v**2 + v - 2
What is the x'th term of 83, 101, 119, 137?
18*x + 65
What is the c'th term of -8024, -8023, -8022, -8021, -8020, -8019?
c - 8025
What is the s'th term of 839, 847, 867, 905, 967?
s**3 + s + 837
What is the h'th term of -54, -139, -268, -447, -682, -979, -1344, -1783?
-h**3 - 16*h**2 - 30*h - 7
What is the a'th term of -13, -44, -99, -184, -305?
-a**3 - 6*a**2 - 6*a
What is the g'th term of -52, -86, -158, -280, -464?
-2*g**3 - 7*g**2 + g - 44
What is the v'th term of -10964, -10966, -10968, -10970?
-2*v - 10962
What is the n'th term of -16, -16, -4, 26, 80, 164?
n**3 - 7*n - 10
What is the o'th term of 35, 32, 25, 14, -1, -20?
-2*o**2 + 3*o + 34
What is the m'th term of -20, -42, -64, -86, -108?
-22*m + 2
What is the w'th term of -921, -919, -917, -915, -913, -911?
2*w - 923
What is the o'th term of 58, 59, 62, 67, 74?
o**2 - 2*o + 59
What is the n'th term of 23, 41, 63, 89, 119, 153?
2*n**2 + 12*n + 9
What is the k'th term of 85, 173, 269, 379, 509, 665, 853, 1079?
k**3 - 2*k**2 + 87*k - 1
What is the x'th term of -11, -25, -37, -47, -55, -61?
x**2 - 17*x + 5
What is the l'th term of -1, 2, 19, 62, 143, 274, 467?
2*l**3 - 5*l**2 + 4*l - 2
What is the h'th term of -25, -54, -79, -100?
2*h**2 - 35*h + 8
What is the c'th term of 74, 59, 46, 35, 26, 19, 14?
c**2 - 18*c + 91
What is the i'th term of 8508, 8507, 8506, 8505, 8504, 8503?
-i + 8509
What is the v'th term of 73, 149, 259, 409, 605, 853, 1159, 1529?
v**3 + 11*v**2 + 36*v + 25
What is the p'th term of 4254, 8492, 12720, 16932, 21122, 25284, 29412?
-p**3 + p**2 + 4242*p + 12
What is the g'th term of 16, 12, 6, -8, -36?
-g**3 + 5*g**2 - 12*g + 24
What is the r'th term of 74, 81, 92, 107, 126?
2*r**2 + r + 71
What is the h'th term of -1292, -2594, -3896?
-1302*h + 10
What is the y'th term of 301, 286, 261, 226?
-5*y**2 + 306
What is the t'th term of 865, 1741, 2617, 3493?
876*t - 11
What is the o'th term of -11, -26, -43, -62, -83, -106, -131?
-o**2 - 12*o + 2
What is the r'th term of 1515, 1516, 1527, 1554, 1603, 1680?
r**3 - r**2 - 3*r + 1518
What is the l'th term of 3420, 13682, 30786, 54732, 85520, 123150?
3421*l**2 - l
What is the v'th term of -150, -160, -182, -222, -286, -380?
-v**3 - 3*v - 146
What is the b'th term of -257, -255, -259, -275, -309?
-b**3 + 3*b**2 - 259
What is the h'th term of 223, 235, 247?
12*h + 211
What is the n'th term of -17, -37, -57, -77, -97, -117?
-20*n + 3
What is the m'th term of -317, -322, -341, -380, -445, -542, -677, -856?
-m**3 - m**2 + 5*m - 320
What is the i'th term of -90, -160, -198, -198, -154, -60, 90, 302?
i**3 + 10*i**2 - 107*i + 6
What is the u'th term of 16, 29, 46, 67, 92, 121?
2*u**2 + 7*u + 7
What is the d'th term of 67, 131, 197, 265?
d**2 + 61*d + 5
What is the w'th term of -134, -120, -88, -32, 54, 176, 340?
w**3 + 3*w**2 - 2*w - 136
What is the h'th term of -15, -30, -57, -102, -171?
-h**3 - 8*h - 6
What is the c'th term of -69, 44, 349, 942, 1919, 3376, 5409?
16*c**3 + c - 86
What is the h'th term of 35, 77, 125, 179, 239, 305?
3*h**2 + 33*h - 1
What is the g'th term of -24, 11, 70, 153, 260?
12*g**2 - g - 35
What is the y'th term of -65, -143, -221, -299, -377, -455?
-78*y + 13
What is the c'th term of -458, -463, -468, -473, -478, -483?
-5*c - 453
What is the j'th term of 5, -31, -89, -181, -319, -515, -781, -1129?
-2*j**3 + j**2 - 25*j + 31
What is the l'th term of -20, -8, 4, 16, 28?
12*l - 32
What is the w'th term of 118, 121, 126, 133, 142, 153, 166?
w**2 + 117
What is the u'th term of -331, -327, -321, -313, -303?
u**2 + u - 333
What is the i'th term of 232, 475, 718?
243*i - 11
What is the l'th term of 937, 1878, 2819?
941*l - 4
What is the l'th term of 623, 630, 637, 644, 651?
7*l + 616
What is the x'th term of 1312, 1319, 1338, 1375, 1436, 1527, 1654, 1823?
x**3 + 1311
What is the y'th term of -230, -232, -234, -236, -238?
-2*y - 228
What is the r'th term of 238, 184, 94, -32, -194, -392?
-18*r**2 + 256
What is the g'th term of 44, 70, 96, 122?
26*g + 18
What is the v'th term of -49, -169, -369, -649, -1009, -1449?
-40*v**2 - 9
What is the z'th term of 110, 438, 990, 1772, 2790, 4050, 5558, 7320?
z**3 + 106*z**2 + 3*z
What is the s'th term of -920, -919, -916, -911, -904, -895, -884?
s**2 - 2*s - 919
What is the j'th term of -28, -130, -300, -538, -844, -1218, -1660?
-34*j**2 + 6
What is the u'th term of -146, -294, -442, -590?
-148*u + 2
What is the b'th term of 6, 9, 8, 3, -6, -19?
-2*b**2 + 9*b - 1
What is the f'th term of -9, -12, -15, -18?
-3*f - 6
What is the q'th term of 230, 231, 232, 233, 234?
q + 229
What is the o'th term of 16, 36, 66, 106, 156?
5*o**2 + 5*o + 6
What is the x'th term of 173, 177, 177, 173, 165?
-2*x**2 + 10*x + 165
What is the z'th term of 41, 37, 45, 77, 145, 261, 437, 685?
2*z**3 - 6*z**2 + 45
What is the a'th term of 431, 858, 1287, 1718, 2151?
a**2 + 424*a + 6
What is the y'th term of 239, 209, 179, 149, 119, 89?
-30*y + 269
What is the a'th term of 48, 94, 140, 186?
46*a + 2
What is the n'th term of -4465, -4467, -4469, -4471?
-2*n - 4463
What is the o'th term of 126, 253, 380, 507, 634?
127*o - 1
What is the i'th term of 159, 317, 475, 633, 791, 949?
158*i + 1
What is the h'th term of 147, 301, 457, 615, 775, 937, 1101?
h**2 + 151*h - 5
What is the h'th term of -1872, -3744, -5616?
-1872*h
What is the s'th term of -159, -290, -421, -552?
-131*s - 28
What is the j'th term of -57, -110, -159, -204, -245?
2*j**2 - 59*j
What is the w'th term of -115, -245, -373, -499, -623?
w**2 - 133*w + 17
What is the x'th term of 2715, 2721, 2729, 2739, 2751, 2765?
x**2 + 3*x + 2711
What is the h'th term of -981, -980, -979, -978?
h - 982
What is the o'th term of 32, 31, 20, -7, -56, -133, -244, -395?
-o**3 + o**2 + 3*o + 29
What is the n'th term of 48, 44, 44, 54, 80, 128, 204?
n**3 - 4*n**2 + n + 50
What is the f'th term of 6, 31, 80, 159, 274, 431, 636?
f**3 + 6*f**2 - 1
What is the z'th term of -57, -104, -163, -240, -341, -472?
-z**3 - 40*z - 16
What is the g'th term of -2, 17, 48, 91, 146?
6*g**2 + g - 9
What is the o'th term of -38, -38, -46, -68, -110, -178, -278, -416?
-o**3 + 2*o**2 + o - 40
What is the y'th term of 1793, 1795, 1797, 1799, 1801?
2*y + 1791
What is the n'th term of 4198, 8399, 12600, 16801, 21002?
4201*n - 3
What is the z'th term of -3, -39, -109, -219, -375?
-z**3 - 11*z**2 + 4*z + 5
What is the z'th term of 53, 44, 33, 20, 5, -12?
-z**2 - 6*z + 60
What is the r'th term of 100, 193, 284, 373?
-r**2 + 96*r + 5
What is the o'th term of -219, -437, -655?
-218*o - 1
What is the p'th term of 38, 76, 114, 152, 190, 228?
38*p
What is the y'th term of 206, 209, 214, 221, 230?
y**2 + 205
What is the o'th term of 17, 54, 75, 50, -51, -258, -601?
-5*o**3 + 22*o**2 + 6*o - 6
What is the u'th term of 73, 209, 437, 757, 1169, 1673?
46*u* | {
"pile_set_name": "DM Mathematics"
} |
1 - 11 = 0. Suppose o - 120 = -2*o. Suppose 0 = -i*r - r + o. What is the greatest common divisor of r and 30?
10
Let y(v) = 2*v**3 - v**2 + 3*v - 1. Let i be y(2). Let z = i - 8. Let j be 3 + -5 + -1 + 9. What is the highest common factor of j and z?
3
Let z = 21 + -19. Let o be (-27)/(4/((-8)/3)). Suppose 3*l - 12 - o = 0. What is the greatest common factor of l and z?
2
Let j = 155 + -106. Calculate the highest common divisor of 49 and j.
49
Suppose 7*q - 2*q + 4*y - 700 = 0, 3*q = -y + 427. Calculate the highest common factor of q and 16.
16
Let o(s) = -s**2 - 12*s - 16. Let c be o(-4). What is the greatest common divisor of c and 112?
16
Suppose 16 = j + 4*r, 8 = 5*j - 0*r - 4*r. Let i be 1*9/6*j. Suppose 26 = 2*b - 5*a, b + 1 = -0*b - a. What is the greatest common divisor of b and i?
3
Let s = -50 - -27. Let t = s - -38. Calculate the greatest common factor of t and 45.
15
Suppose -12 = -2*x - 5*m, -4*x = 4*m - 13 - 11. Let o be (x/1)/((-6)/(-4)). What is the highest common divisor of o and 32?
4
Suppose 38 = q - 2. Let j = -47 + 107. Calculate the greatest common divisor of q and j.
20
Let k = 1 - -2. Let s be -3 + (1 + 92)/k. Calculate the highest common divisor of s and 140.
28
Suppose -3*n - 9 = 0, -4*s - 2*n + 19 = -3*n. Suppose -5*d + 6*d = s*v - 97, 0 = 5*v - 3*d - 116. What is the greatest common factor of v and 10?
5
Suppose -432 = -3*t - t. Calculate the greatest common divisor of 72 and t.
36
Let k(w) = w**2 + 19*w + 29. Let z be k(-18). Let v = 16 - 5. Calculate the greatest common factor of z and v.
11
Let t(p) = p**3 + 7*p**2 - 8*p + 5. Let m be t(-8). Suppose m*f - 5 - 145 = 0. What is the greatest common divisor of f and 15?
15
Let g = 70 + -49. Calculate the greatest common divisor of g and 21.
21
Suppose 18 + 7 = 5*o. Let k = o - 3. Calculate the highest common factor of k and 14.
2
Let q be (5*(-3)/(-12))/((-7)/(-84)). Let g(o) = o - 1. Let a be g(6). What is the highest common factor of q and a?
5
Let d = -10 + -1. Let g = 3 - d. What is the greatest common divisor of 28 and g?
14
Let s be 17 + (-2 + 3)*-2. Let j be (-3)/15 - (-183)/s. Let f be (42/(-5))/(1/(-10)). What is the highest common factor of j and f?
12
Let v be (-921)/(-12) - (-2)/8. Suppose -2*g = 2*g - 44. What is the highest common divisor of g and v?
11
Let u be (29/2)/((-3)/(-6)). Let p = u + 19. Calculate the highest common factor of 8 and p.
8
Let o be 15/9*6/2. Suppose 3*n - o*y = 393, -y = 3*y - 12. Let f be (1/1)/((-1)/(-17)). What is the highest common divisor of n and f?
17
Let a(r) = 17 + 0*r - r - 5. Let g be a(9). Suppose 2*j = -g*j + 130. Calculate the highest common divisor of j and 39.
13
Suppose -3*c + 13 = 1. Suppose 2*s = -4*a + 142, -37 = -a - s + 2*s. What is the greatest common factor of a and c?
4
Suppose -45 = -3*d + 5*f, 0 = -2*d - 2*d - 4*f + 28. What is the highest common factor of d and 90?
10
Let m be (-4)/10 + (-312)/(-30). Calculate the greatest common factor of 25 and m.
5
Suppose 0 = -16*h + 113 + 255. Calculate the highest common factor of 46 and h.
23
Suppose 0 = -5*w - 2*j - 132, 2*w - 2 = 4*j - 50. Let u = w + 37. Calculate the greatest common factor of 77 and u.
11
Let k be (2/(-4))/(3/(-36)). Let f(q) = -q + 8. Let v be f(k). Calculate the greatest common divisor of v and 2.
2
Suppose -2*h - 6 = -2*s, -4*s - s + 3*h + 5 = 0. Let r = s + 4. What is the highest common divisor of 8 and r?
2
Let x = 351 - 343. Let b(v) = v**2 - 5*v - 5. Let i be b(6). Calculate the highest common factor of i and x.
1
Suppose 2*z = -5*y + 10, 5*y - 3*z + z = 30. Calculate the greatest common factor of 10 and y.
2
Suppose -836 = -2*w + 6. Let v = 613 - w. What is the greatest common divisor of v and 24?
24
Suppose -5*i - 160 = -3*j, 3*i + 0 = -6. What is the greatest common factor of j and 10?
10
Let f be (-4*3)/(-2) + -2. Suppose 0 = 2*k - f*n + 92, -k - k - 2*n = 62. Let y be 8/k - 184/(-18). Calculate the greatest common factor of 25 and y.
5
Suppose 4*x - 2*f - 10 = 0, -x + 6*x - 40 = -3*f. What is the greatest common divisor of x and 5?
5
Let h = 67 - -9. Let q = h + 65. Let x = q - 93. What is the highest common divisor of x and 6?
6
Let q be -2*4/(-24) - 280/(-15). Calculate the greatest common divisor of 38 and q.
19
Suppose l - 4*r - 15 = -2, 13 = 2*l + 5*r. Let z be 6/63*l*21. Calculate the highest common divisor of z and 72.
18
Let m = -72 + 160. What is the greatest common divisor of m and 22?
22
Suppose -4*r - 5*g = -3*g - 100, 4*r = g + 112. Let x = -20 + r. What is the highest common divisor of 7 and x?
7
Suppose 0 = -y - 0 + 11. Suppose -y + 51 = -4*n. Let m be (-4)/n + 1269/15. What is the highest common factor of m and 17?
17
Let m = -133 - -263. Calculate the greatest common divisor of 52 and m.
26
Let y(q) = -12*q + 96*q - 8*q. Let x be y(5). Let u be x/16 + 2/8. What is the greatest common factor of 3 and u?
3
Suppose k + 4*u = u + 5, 0 = -5*k - 2*u + 12. Suppose 0 = 2*v + k*v. Suppose v = 2*b + 3*b - 75. What is the greatest common factor of 105 and b?
15
Let b(g) = -3*g + 24. Let x(a) = 7*a - 49. Let i(p) = 5*b(p) + 2*x(p). Let r be i(9). What is the greatest common factor of r and 91?
13
Suppose -2*b = -94 - 236. What is the greatest common factor of b and 66?
33
Let b = -10 - -20. Let k = -2 - -4. Suppose -54 = -k*n - 4. Calculate the greatest common factor of b and n.
5
Suppose 2*z + 3*t = 449 + 292, 5*z + t - 1820 = 0. Calculate the greatest common divisor of 33 and z.
33
Suppose 0 = -3*m + 4*u - 12, 0*m + 5*m - 2*u + 6 = 0. Suppose 2*o - 1 + 3 = m. Let h = o - -6. Calculate the highest common divisor of h and 35.
5
Let y(q) = q**2 + 7. Let g be y(-7). Calculate the greatest common factor of g and 8.
8
Let z be 0 + 99/((-9)/(-3)). Suppose -5*l = z - 108. Calculate the highest common divisor of l and 120.
15
Let w(q) = -2*q + 6. Let n be w(-3). Suppose 161 = 4*k - 287. Let l = 220 - k. What is the highest common factor of n and l?
12
Let z be 76/3 - 8/24. Suppose -o = 2*f + f - z, -3*o - 5*f = -71. Calculate the greatest common factor of 88 and o.
22
Let o(u) = -12*u + 1. Let b be o(-10). Suppose 0 = -5*g + b - 41. What is the greatest common divisor of g and 80?
16
Let z = 25 + 1. What is the greatest common divisor of z and 39?
13
Let o be (-3 - -3)/(2 - 1). Suppose -3*a = 5*n, o = -2*n + 2 - 8. Suppose -y - 2*u + 6 = 2*u, -y - 5*u = -a. What is the greatest common divisor of y and 90?
10
Let v = -3 - 0. Let q = v - -63. What is the greatest common factor of q and 150?
30
Suppose 2*r + 60 = 4*x, r - 29 = -5*x + 32. Calculate the highest common divisor of 65 and x.
13
Let b(n) = -n**2 + 5*n + 1. Let v be b(5). Let m be (3/(-9))/(2/(-6)). Calculate the highest common factor of v and m.
1
Let q(n) = n**2 + 5*n - 4. Let c be q(3). Suppose -35 + 135 = 2*b. What is the highest common divisor of c and b?
10
Suppose 13*s = 9*s + 8. What is the highest common divisor of 22 and s?
2
Suppose 68 = 3*a - 4*j, -2*a - 12 = -2*j - 60. Calculate the highest common factor of a and 28.
28
Let h(k) = k**3 - 2*k**2 - 5*k. Let x be h(5). Let t = -9 - -19. Suppose -p = p - t. Calculate the greatest common factor of p and x.
5
Let z(w) = -40*w**3 - w**2 - 2*w - 1. Let a be z(-1). What is the greatest common divisor of 280 and a?
40
Let v(g) = -2 + 8*g - g**2 + 5 + 0*g**2. Let y be v(8). Let h = 5 - -19. Calculate the highest common factor of y and h.
3
Let y(a) = 3*a**2 - 3*a - 4. Let r be y(4). Let c(d) = d**2 - 2*d + 5. Let g be c(5). Suppose -z - 4*z = -g. Calculate the highest common divisor of r and z.
4
Let j = 7 - 5. Let r be 18/((-4)/j*-1). Calculate the highest common factor of r and 3.
3
Let p(i) be the second derivative of i**3/6 + 9*i**2/2 + i. Let d be p(-7). Let c be -12*2/(-8)*2. Calculate the greatest common divisor of c and d.
2
Suppose -m + 4 = -8. Let u be (84/14)/(6/4). Calculate the greatest common factor of m and u.
4
Let d(c) = 2*c**2 + 1 + c**3 + 3*c + c - 6*c**2. Let k be d(4). Calculate the highest common factor of 187 and k.
17
Let q = 57 + -33. Let w be (28/8)/(4/q). What is the greatest common divisor of 168 and w?
21
Let h = -167 + 171. Calculate the highest common divisor of h and 4.
4
Suppose 54 = 9*n - 6*n. Let u = -9 + 5. Let v be (1 - 0 - u) + 1. Calculate the highest common divisor of v and n. | {
"pile_set_name": "DM Mathematics"
} |
common denominator of h and 48/11.
77
Let k = 5112/7 + -727. Let o(x) = -2*x. Let w be o(-8). Calculate the common denominator of k and 84/(-80)*w/(-6).
35
Suppose -21*c + 14*c = -84. Calculate the least common multiple of 6 and c.
12
Let p = 7110/11 + -28481/44. What is the common denominator of -19/12 and p?
132
Let k = -35 - -68. Calculate the least common multiple of 15 and k.
165
Let v = -3 + -5. What is the common denominator of -111/22 and (-4)/v*59/7?
154
Let y = -106 - -57. Let a(f) = -f**3 - f**2 - f + 3. Let v be a(0). Let i = v + y. Calculate the common denominator of -91/2 and i.
2
Let p = 6 - -4. Let d = p - -8. Suppose 0 = 4*u - 5*y - 77, 0*u + 4*y - 68 = -4*u. Calculate the least common multiple of u and d.
18
Suppose 14 = -4*x + 2*y, -2*x + 7*x + 4*y = 15. Calculate the common denominator of ((-413)/63)/((-2)/(-6)) and x/(9/(-68)) + -1.
9
Let m be 21/(-4)*(19 - 3). Calculate the common denominator of (-4)/(-14) + 10/m and 39/7.
42
Let i = -6 + 12. Suppose i - 14 = -4*d. Calculate the smallest common multiple of (-4)/(1*2/(-10)) and d.
20
Suppose 3*f - 25 = -5*j, -4*j + 8 = -2*f - 12. Suppose f*a + 66 = -3*a. Let u = -2636/1233 + -42/137. Find the common denominator of a and u.
9
What is the smallest common multiple of (-990)/(-54) - (-1)/(-3) and 4?
36
Suppose -3*q = -0*q - 21. Let p(z) = -z**3 + 5*z**2 + 7*z + 10. Find the common denominator of p(q) and -48.
1
Suppose 5*n - 10 = 4*c - 2*c, -2*c - 5*n + 30 = 0. Suppose u = c, -3*y + 48 = -7*y + 4*u. Let i = y + 19. Calculate the least common multiple of i and 22.
132
Suppose -3 = -3*g + 3. Suppose 7*u - 40 = 2*u. Calculate the smallest common multiple of g and u.
8
Let h(w) = w**2 + 7*w - 2. Let x(b) = b**2 + 5*b - 7. Let n be x(-5). Let u be h(n). Let g = 12 + u. Calculate the smallest common multiple of g and 20.
20
Find the common denominator of 4/(32/282)*2/54 and -75/22.
396
Let m = -180 + 382. Calculate the common denominator of 2/(-7) + 1850/252 and (m/(-3))/(1 + 3).
18
Suppose -a - 176 = 3*a + 2*n, -4*n = 2*a + 76. Find the common denominator of a and (112/(-147))/((-6)/(-45)).
7
Find the common denominator of ((-66)/(-10))/((-10)/(-25)) and -25/9.
18
Let g = -208/7 - -22. Find the common denominator of 167/42 - (-6)/36 and g.
7
Let o be 2/2*11*2. Suppose -2*c - 2 = -o. Calculate the least common multiple of c and (-1 + -2)/((-3)/4).
20
Let w be (-9300926)/(-396) + 10/45. Let n = w + -23483. Let p = 2/2871 + 238273/28710. Find the common denominator of p and n.
110
Suppose 0 = o - 19 + 4. Calculate the common denominator of o and 18.
1
What is the common denominator of 43/2 and (-4)/(-14) - (-4710)/1400?
20
Suppose 5*z = -4*o + 14, -o - 3 = z - 5. Suppose -z*t = -t - 15. What is the lowest common multiple of t and 2?
6
Let c = -2/209 - -850/1463. What is the common denominator of (-2)/(-6) + (-1903)/(-726) and c?
154
What is the least common multiple of (4/7)/((-16)/(-56)) and 18?
18
Let c = -7 - -11. Let v = 1 - 0. Let n = v - -2. Calculate the lowest common multiple of n and c.
12
Calculate the least common multiple of 210 and ((-22)/(-8))/((1*-2)/(-16)).
2310
Suppose 2*t + 3*n - 29 = 0, -3*n + n = t - 14. Suppose 2*z - 13 = -5. Calculate the least common multiple of t and z.
16
Calculate the common denominator of (7 - 30)/(3 + 2) and -16/11.
55
Let c = -3 - -6. Suppose -7*a = -3*a + 96. Calculate the smallest common multiple of c and a*(-1)/3*1.
24
Let d(c) = -c + 91. Let x be d(0). Let a = 44 - x. What is the common denominator of a and (3/2)/(60/710)?
4
Let z = 66742/9 - 7424. Calculate the common denominator of 4 + 282/(-9) + 2 and z.
9
Let v(g) be the third derivative of 0 + 37/24*g**4 + g**2 + 0*g**3 + 0*g. Find the common denominator of v(-1) and -49/8.
8
Suppose 0 = 4*l - 0*i - i + 25, -4*l - 4*i = 40. What is the common denominator of 2/l - (-963)/(-252) and -59/14?
28
Let l(f) = -f**2 - 16*f - 14. Suppose -3*i = -2*s - 57, -5*i + 3*s + 38 = -57. Let g = i - 11. What is the least common multiple of l(-15) and g?
8
Suppose 12 = f - m + 1, -2*f + 26 = 2*m. What is the least common multiple of 4 and f?
12
Let v be (-2)/(-8) - 27/12. What is the lowest common multiple of v + 4 - 6/6 and 8?
8
Suppose 0*c - 107 = -c. Let f = 1036/9 - c. Calculate the common denominator of f and 13.
9
Let q = 768 - 3087/4. Calculate the common denominator of -121/20 and q.
20
Let k(x) = x**2 - 3*x - 1. Let l = 15 - 11. Let r be k(l). Suppose 0 = -2*i - 2*c, r*i + 5*c = -1 - 1. What is the least common multiple of 6 and i?
6
Let c = 98 + 2. Suppose -2*v - 3*v + c = 0. What is the least common multiple of 14 and v?
140
Let u = -94 - 16. Calculate the common denominator of 33/u*76/(-6) and 46/7.
35
Let r be (-1)/(1/(76/(-9))). Let p = 44/9 + r. What is the common denominator of p and 37/6?
6
Let r(q) = -3*q - 25. Suppose 3*o + 2*h + 33 = -0*h, -h = 5*o + 62. What is the least common multiple of 14 and r(o)?
14
Let w(f) = f**3 + 9*f**2 + 8*f + 11. Let h(k) = 5*k - 1. Calculate the smallest common multiple of h(2) and w(-8).
99
Let h = 13 + -8. Calculate the smallest common multiple of h and 11.
55
Let h = -11 + 6. Find the common denominator of 939/60 - (-2)/h and 35.
4
Let x = 2 + 5. Suppose -3*g + x = -5. What is the smallest common multiple of 11 and g?
44
Let n = -28789/15 - -1920. What is the common denominator of n and 137/30?
30
Suppose -1 = -5*o + 29. Suppose -5*g = o - 36. Calculate the lowest common multiple of g and 9.
18
Let r(f) = f**2 + 8*f + 13. Let g = 16 - 25. Suppose 4*w - 5 = 3. What is the least common multiple of w and r(g)?
22
Let h = -2/129 - -331/13029. What is the common denominator of 73/4 and h?
404
Suppose -4*q = -q. Suppose q = d - 2*d - 1. Find the common denominator of 45/14 and 79/2 + (d - -2).
14
Suppose -2*j - 4 = -10. Suppose 2*w - 9 = -d, -5*d = -0*w - 2*w + j. Calculate the least common multiple of 5 and d.
5
Let s = 38 + -27. Suppose 4 = 3*j - j. Let a = j + -1. Calculate the smallest common multiple of s and a.
11
Let d(h) = -h**2 - 7*h - 4. Let z(s) = s**2 - 7*s - 6. Let n be z(6). Let w be 3/n + 38/(-8). What is the least common multiple of d(w) and 12?
12
Let d = 3192 + -2122. Let o = -4365/4 + d. Find the common denominator of 73/10 and o.
20
Let f be ((-6)/(-8))/(1/688). What is the common denominator of 111/10 and f/(-16)*2/12?
40
Suppose -z + 4 = z, -c + 3*z + 20 = 0. Calculate the smallest common multiple of c and 6.
78
Let i = -2525/152 + 489/19. Calculate the common denominator of 107/6 and i.
24
Let x = -229/54 - -43/54. Find the common denominator of x and 3*(-3)/(-81)*1.
9
Let n(r) = -r**2 - 16*r - 21. Let a be n(-14). Find the common denominator of 37/7 and 2/(-18)*(a + -5).
63
Let f(d) = 1 - 4 - d - 3*d**3 - 6*d. Let i(u) = -u**3 - u**2 + 1. Let k(m) = f(m) - 4*i(m). Calculate the smallest common multiple of k(-5) and 5.
15
Suppose f + y = 3*f - 44, 3*f = 3*y + 72. Let c(d) = 3*d**2 - d - 2. Calculate the lowest common multiple of c(-2) and f.
60
Let d = 3 - 18. Let a = -13 - d. Calculate the least common multiple of 2 and a.
2
Suppose 5*j = 39 + 76. Let h = j + -15. Let s = 24 - 14. Calculate the least common multiple of s and h.
40
Let g = -2504665/5372 + -15/2686. Let s = g + 482. Calculate the common denominator of -2/5 and s.
20
Suppose -10 = -2*z + 10. What is the least common multiple of 6*-3*(-2)/4 and z?
90
Let k(y) = 8*y - 1. Suppose 0 = -a + 2*a - 3. Suppose 2*p + p + 2*z = a, -4*z = 4*p. Calculate the lowest common multiple of p and k(1).
21
Let h be 3/(-6) - (-23)/(-2). Let x = -5 - h. What is the smallest common multiple of x and 9?
63
Suppose -3*f = -f. Suppose -60 = -3*r - 2*i - f*i, -5*i + 7 = r. What is the smallest common multiple of r and 62?
682
Calculate the least common multiple of 44 and 36 + (-25)/(-5) + -1.
440
Let o = 8401/820 + 1/205. Find the common denominator of o and 139/6.
12
Let l(n) = -5*n**3 + 3*n**2 + 3*n - 4. Let q be l(4). Suppose 0*t = -4*t - 24. What is the lowest common multiple of 6 and t/10 - q/40?
6
Let w(n) = -n**3 - 4*n**2 - 5*n - 4. Let b be w(-3). Suppose -6 + 24 = b*o. What is the smallest common multiple of 5 and o?
45
Calculate the least common multiple of (-14)/7 + (0 - -5) and 4.
12
Find the common denominator of (5*-14 - -1)/(-4) and 52/5.
20
Let u(t) be the first derivativ | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 850745?
5, 7, 109, 223
What are the prime factors of 942894?
2, 3, 19, 919
What are the prime factors of 361456?
2, 19, 29, 41
What are the prime factors of 1454345?
5, 290869
List the prime factors of 1088980.
2, 5, 54449
List the prime factors of 290216.
2, 36277
List the prime factors of 244193.
113, 2161
What are the prime factors of 254575?
5, 17, 599
What are the prime factors of 3863546?
2, 1931773
What are the prime factors of 475789?
475789
List the prime factors of 260987.
260987
List the prime factors of 568377.
3, 2339
List the prime factors of 1754013.
3, 43, 13597
List the prime factors of 480398.
2, 401, 599
List the prime factors of 34719.
3, 71, 163
List the prime factors of 1122825.
3, 5, 11, 1361
List the prime factors of 11334288.
2, 3, 7, 61, 79
List the prime factors of 451490.
2, 5, 13, 23, 151
What are the prime factors of 589539?
3, 41, 4793
What are the prime factors of 374037?
3, 124679
What are the prime factors of 32960147?
11, 2996377
List the prime factors of 845928.
2, 3, 31, 379
List the prime factors of 904855.
5, 7, 103, 251
What are the prime factors of 9874951?
9874951
List the prime factors of 239895.
3, 5, 1777
List the prime factors of 1138022.
2, 569011
What are the prime factors of 534968?
2, 7, 41, 233
List the prime factors of 7109145.
3, 5, 17, 9293
What are the prime factors of 3666172?
2, 113, 8111
List the prime factors of 8526197.
17, 263, 1907
List the prime factors of 7468154.
2, 37, 43, 2347
List the prime factors of 418915.
5, 7, 11969
What are the prime factors of 1364413?
257, 5309
What are the prime factors of 1029504?
2, 3, 7, 383
What are the prime factors of 124243?
7, 17749
What are the prime factors of 230077?
230077
What are the prime factors of 83730?
2, 3, 5, 2791
List the prime factors of 6835736.
2, 854467
What are the prime factors of 1932039?
3, 163, 439
List the prime factors of 408782.
2, 11, 17, 1093
What are the prime factors of 1484232?
2, 3, 61843
List the prime factors of 4915325.
5, 196613
List the prime factors of 18094770.
2, 3, 5, 107, 1879
What are the prime factors of 126917?
7, 18131
List the prime factors of 37440527.
23, 1627849
What are the prime factors of 20637227?
13, 31, 41, 1249
List the prime factors of 5892784.
2, 23, 67, 239
What are the prime factors of 1709319?
3, 569773
List the prime factors of 274717.
29, 9473
What are the prime factors of 4993115?
5, 998623
List the prime factors of 5328054.
2, 3, 29, 59, 173
What are the prime factors of 708001?
7, 14449
List the prime factors of 209719.
209719
What are the prime factors of 1446870?
2, 3, 5, 17, 2837
List the prime factors of 207973.
207973
List the prime factors of 583114.
2, 7, 41651
List the prime factors of 411546.
2, 3, 113, 607
List the prime factors of 153430.
2, 5, 67, 229
What are the prime factors of 936562?
2, 11, 42571
List the prime factors of 2838052.
2, 7, 101359
What are the prime factors of 533194?
2, 29, 317
List the prime factors of 58134.
2, 3, 9689
What are the prime factors of 757411?
139, 5449
What are the prime factors of 329292?
2, 3, 3049
List the prime factors of 10503390.
2, 3, 5, 19, 18427
List the prime factors of 524554.
2, 41, 6397
What are the prime factors of 1759272?
2, 3, 73303
List the prime factors of 18364188.
2, 3, 1530349
List the prime factors of 1042585.
5, 109, 1913
List the prime factors of 217044.
2, 3, 6029
List the prime factors of 12274449.
3, 11, 431, 863
List the prime factors of 67920.
2, 3, 5, 283
What are the prime factors of 219496?
2, 27437
List the prime factors of 619059.
3, 7, 41, 719
What are the prime factors of 236038?
2, 11, 10729
List the prime factors of 145045.
5, 29009
What are the prime factors of 769980?
2, 3, 5, 41, 313
What are the prime factors of 3860003?
7, 17, 163, 199
What are the prime factors of 44624?
2, 2789
List the prime factors of 37421148.
2, 3, 17, 183437
What are the prime factors of 17357265?
3, 5, 367, 1051
What are the prime factors of 2048274?
2, 3, 83, 457
What are the prime factors of 425839?
425839
What are the prime factors of 8838777?
3, 2946259
List the prime factors of 238066.
2, 119033
What are the prime factors of 181607?
181607
What are the prime factors of 107399?
211, 509
What are the prime factors of 10909748?
2, 2727437
List the prime factors of 1127741.
1127741
List the prime factors of 2498065.
5, 17, 29389
What are the prime factors of 489038?
2, 11, 22229
What are the prime factors of 6905190?
2, 3, 5, 29, 7937
What are the prime factors of 3336581?
107, 31183
List the prime factors of 150799.
11, 13709
What are the prime factors of 5256107?
79, 66533
List the prime factors of 610394.
2, 19, 16063
List the prime factors of 967033.
61, 83, 191
What are the prime factors of 2021460?
2, 3, 5, 7, 4813
What are the prime factors of 424996?
2, 11, 13, 743
What are the prime factors of 1979459?
151, 13109
What are the prime factors of 1582149?
3, 19, 41, 677
What are the prime factors of 37295654?
2, 11, 17, 99721
List the prime factors of 3915225.
3, 5, 17401
What are the prime factors of 105579?
3, 11731
List the prime factors of 5751.
3, 71
List the prime factors of 454597.
11, 13, 17
What are the prime factors of 1557378?
2, 3, 31, 2791
List the prime factors of 10925060.
2, 5, 546253
What are the prime factors of 69323?
181, 383
List the prime factors of 4089877.
11, 17, 21871
List the prime factors of 114621.
3, 13, 2939
List the prime factors of 1046329.
1046329
What are the prime factors of 322292?
2, 197, 409
List the prime factors of 2509476.
2, 3, 209123
List the prime factors of 2638481.
163, 16187
List the prime factors of 8083056.
2, 3, 19, 8863
List the prime factors of 71781.
3, 71, 337
List the prime factors of 12586208.
2, 19, 127, 163
List the prime factors of 665525.
5, 7, 3803
What are the prime factors of 966248?
2, 269, 449
What are the prime factors of 2221901?
11, 73, 2767
What are the prime factors of 360976?
2, 7, 11, 293
List the prime factors of 983257.
11, 89387
What are the prime factors of 558237?
3, 317, 587
List the prime factors of 358071.
3, 7, 17, 59
List the prime factors of 132610.
2, 5, 89, 149
What are the prime factors of 234675?
3, 5, 7, 149
List the prime factors of 5035353.
3, 89, 18859
What are the prime factors of 4999780?
2, 5, 249989
What are the prime factors of 11697188?
2, 263, 11119
List the prime factors of 4391087.
4391087
List the prime factors of 443150.
2, 5, 8863
What are the prime factors of 82170?
2, 3, 5, 11, 83
List the prime factors of 11991970.
2, 5, 17, 23, 3067
List the prime factors of 8993.
17, 23
List the prime factors of 2727657.
3, 303073
What are the prime factors of 190923?
3, 23, 2767
List the prime factors of 8985276.
2, 3, 271, 307
What are the prime factors of 19348038?
2, 3, 358297
What are the prime factors of 942854?
2, 11, 17, 2521
List the prime factors of 66580.
2, 5, 3329
List the prime factors of 1062446.
2, 7, 11, 6899
What are the prime factors of 1710420?
2, 3, 5, 29, 983
List the prime factors of 172438.
2, 7, 109, 113
List the prime factors of 13363570.
2, 5, 11, 121487
What are the prime factors of 207347?
7, 19, 1559
What are the prime factors of 590585?
5, 29, 4073
List the prime factors of 1840415.
5, 368083
List the prime factors of 38783.
38783
What are the prime factors of 703343?
281, 2503
List the prime factors of 6894638.
2, 3447319
What are the prime factors of 1543275?
3, 5, 19
What are the prime factors of 118265?
5, 7, 31, 109
What are the prime factors of 1725466?
2, 17, 19, 2671
List the prime factors of 8048201.
7, 164249
What are the prime factors of 887147?
67, 13241
What are the prime factors of 9819810?
2, 3, 5, 7, 11, 13, 109
What are the prime factors of 5711798?
2, 2855899
List the prime factors of 286394.
2, 143197
List the prime factors of 2887882.
2, 1443941
What are the prime factors of 186169?
83, 2243
What are the prime factors of 220555?
5, 44111
List the prime factors of 18035188.
2, 4508797
List the prime factors of 15713868.
2, 3, 883, 1483
What are the prime factors of 291621?
3, 11, 8837
What are the prime factors of 178229?
37, 4817
What are the prime factors of 240220?
2, 5, 12011
What are the prime factors of 296377?
296377
What are the | {
"pile_set_name": "DM Mathematics"
} |
a gram?
600
What is 577.7939um in nanometers?
577793.9
How many litres are there in 85263.19 millilitres?
85.26319
What is 6/5 of a microgram in nanograms?
1200
What is fourty-four fifths of a litre in millilitres?
8800
Convert 6039.752g to tonnes.
0.006039752
What is 7/6 of a year in months?
14
What is 3/25 of a centimeter in micrometers?
1200
What is 1.7098569s in hours?
0.00047496025
What is 19/4 of a litre in millilitres?
4750
What is 4.392318ml in litres?
0.004392318
How many micrograms are there in 3.884807 milligrams?
3884.807
What is 103568.871 hours in weeks?
616.481375
Convert 376.9082ng to milligrams.
0.0003769082
How many years are there in 3/5 of a millennium?
600
Convert 0.7753322 millilitres to litres.
0.0007753322
Convert 16.4334 centuries to millennia.
1.64334
What is 71/4 of a litre in millilitres?
17750
What is three eighths of a micrometer in nanometers?
375
What is 1/4 of a kilogram in grams?
250
What is 3/8 of a tonne in kilograms?
375
How many litres are there in 72467.85 millilitres?
72.46785
What is 11/2 of a century in months?
6600
Convert 37.78384 centuries to years.
3778.384
How many millilitres are there in 3/25 of a litre?
120
How many years are there in 9/10 of a century?
90
Convert 0.6276836ns to microseconds.
0.0006276836
What is 17/2 of a milligram in micrograms?
8500
How many millilitres are there in 5.214897l?
5214.897
What is 3/50 of a litre in millilitres?
60
What is 238.763 micrograms in grams?
0.000238763
Convert 27919.21us to nanoseconds.
27919210
How many years are there in 4.59828 months?
0.38319
How many years are there in 5/4 of a millennium?
1250
How many millilitres are there in 62.37645l?
62376.45
How many tonnes are there in 0.9801351mg?
0.0000000009801351
What is 7097.347 millilitres in litres?
7.097347
What is 120.1994 milliseconds in nanoseconds?
120199400
How many months are there in 46/5 of a decade?
1104
How many millilitres are there in 49/5 of a litre?
9800
What is 8/3 of a century in months?
3200
What is 35540.586ms in hours?
0.009872385
How many millilitres are there in 7/2 of a litre?
3500
What is 8.958928 weeks in microseconds?
5418359654400
What is 15/4 of a microgram in nanograms?
3750
How many decades are there in 18.607104 months?
0.1550592
How many grams are there in eleven tenths of a kilogram?
1100
How many seconds are there in 844435.6 microseconds?
0.8444356
How many millennia are there in 13.206198 months?
0.0011005165
How many seconds are there in 3.464222 microseconds?
0.000003464222
What is 39.71514mm in kilometers?
0.00003971514
What is 55/4 of a kilogram in grams?
13750
Convert 8800.728 millennia to years.
8800728
Convert 529935.9 weeks to hours.
89029231.2
What is 68.22873l in millilitres?
68228.73
How many millilitres are there in 146.4055l?
146405.5
What is 46/5 of a tonne in kilograms?
9200
How many months are there in 10/3 of a decade?
400
What is three tenths of a decade in months?
36
Convert 999760.6 kilometers to meters.
999760600
How many centimeters are there in 0.0637034um?
0.00000637034
What is 10/3 of a year in months?
40
How many grams are there in 7351.866 milligrams?
7.351866
How many months are there in 7/4 of a year?
21
What is 27/4 of a centimeter in micrometers?
67500
Convert 7.0495893s to days.
0.00008159246875
Convert 0.77548 days to microseconds.
67001472000
How many micrograms are there in 6/5 of a milligram?
1200
What is 11793.43368 seconds in weeks?
0.019499725
How many kilograms are there in eighteen fifths of a tonne?
3600
What is 99.87244 kilograms in micrograms?
99872440000
What is 26236.07 meters in centimeters?
2623607
What is fifteen quarters of a centimeter in micrometers?
37500
What is 0.9387207 meters in millimeters?
938.7207
What is 68263.14 nanometers in meters?
0.00006826314
What is 57/2 of a microgram in nanograms?
28500
What is 18/5 of a litre in millilitres?
3600
How many milligrams are there in 43/2 of a gram?
21500
How many meters are there in 11/4 of a kilometer?
2750
What is 1/4 of a minute in seconds?
15
How many millilitres are there in five quarters of a litre?
1250
What is 28/3 of a century in months?
11200
How many micrometers are there in fourty-nine fifths of a centimeter?
98000
What is 1/4 of a micrometer in nanometers?
250
How many nanometers are there in one quarter of a micrometer?
250
What is 32/5 of a microsecond in nanoseconds?
6400
How many millilitres are there in thirty-two fifths of a litre?
6400
What is 1/4 of a minute in milliseconds?
15000
Convert 0.2116077 kilograms to nanograms.
211607700000
What is 1/36 of a day in seconds?
2400
How many years are there in 55258.68 decades?
552586.8
How many micrometers are there in seven quarters of a centimeter?
17500
How many decades are there in 253.38927 months?
2.11157725
What is one twentieth of a gram in milligrams?
50
Convert 0.8280957 years to months.
9.9371484
What is 51.3122 millennia in months?
615746.4
What is 6/5 of a meter in millimeters?
1200
What is 2432.957 millilitres in litres?
2.432957
What is 0.6502348 nanometers in kilometers?
0.0000000000006502348
What is 21/2 of a milligram in micrograms?
10500
What is 45.79755 years in months?
549.5706
Convert 0.0135949ng to kilograms.
0.0000000000000135949
What is 1.316263mg in grams?
0.001316263
What is twenty-one fifths of a centimeter in millimeters?
42
How many millilitres are there in 6/5 of a litre?
1200
What is 11/4 of a litre in millilitres?
2750
How many micrograms are there in 1/4 of a milligram?
250
What is 27/2 of a millennium in centuries?
135
What is 9442.193l in millilitres?
9442193
How many centuries are there in 48/5 of a millennium?
96
Convert 157080.2 hours to nanoseconds.
565488720000000000
What is 3/5 of a meter in millimeters?
600
Convert 882961.5l to millilitres.
882961500
How many grams are there in seven eighths of a kilogram?
875
What is 196122.627 microseconds in days?
0.0000022699378125
What is twenty-nine sixths of a millennium in months?
58000
What is thirteen quarters of a second in milliseconds?
3250
What is 1/5 of a day in seconds?
17280
What is 0.7566971 grams in nanograms?
756697100
How many millimeters are there in 165.887cm?
1658.87
How many years are there in fourty-three quarters of a millennium?
10750
How many hours are there in 18.352635 minutes?
0.30587725
What is 26/5 of a week in minutes?
52416
What is 18/5 of a centimeter in millimeters?
36
How many decades are there in 13208.71 centuries?
132087.1
How many hours are there in 696.75849ms?
0.000193544025
What is twenty-one halves of a micrometer in nanometers?
10500
Convert 59.41809 nanometers to centimeters.
0.000005941809
Convert 21508.38mm to meters.
21.50838
Convert 88.75953 minutes to microseconds.
5325571800
How many centimeters are there in one fifth of a kilometer?
20000
What is 3/25 of a meter in millimeters?
120
How many micrometers are there in 21/5 of a millimeter?
4200
How many millilitres are there in 0.453062 litres?
453.062
How many milliseconds are there in 319082.3 weeks?
192980975040000
How many centimeters are there in twenty-one halves of a meter?
1050
What is one sixteenth of a kilometer in centimeters?
6250
What is fifteen quarters of a litre in millilitres?
3750
How many millilitres are there in 13/4 of a litre?
3250
Convert 92486.9 weeks to seconds.
55936077120
What is 10/7 of a week in minutes?
14400
How many micrometers are there in three fifths of a millimeter?
600
How many seconds are there in 6/5 of a hour?
4320
How many hours are there in 3626.595 days?
87038.28
What is 57/2 of a century in decades?
285
How many litres are there in 2.673215 millilitres?
0.002673215
How many years are there in 99.18948 millennia?
99189.48
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is 59415.33km in nanometers?
59415330000000000
How many kilograms are there in 446.3998ng?
0.0000000004463998
How many hours are there in 12/7 of a week?
288
Convert 460.37376ms to weeks.
0.0000007612
Convert 58950.7 days to nanoseconds.
5093340480000000000
How many centimeters are there in seventeen halves of a meter?
850
Convert 9.856108 kilometers to millimeters.
9856108
How many hours are there in seven quarters of a day?
42
How many seconds are there in 33.46307 minutes?
2007.7842 | {
"pile_set_name": "DM Mathematics"
} |
j be r/2 - (-2)/(-4). Suppose 3*f + 2*b = 62, 0 = 6*f - 4*f + 3*b - j. Does 11 divide f?
True
Let w(s) = -s**3 - 6*s**2 - 6*s - 3. Let g be w(-5). Suppose -3 = 2*t - 3*t. Suppose 5*k = -15, -3 = t*r + g*k + 3*k. Is r even?
True
Let l(c) = c - 3. Let h = 10 - 1. Is 2 a factor of l(h)?
True
Suppose -1140 = -11*m - 8*m. Does 15 divide m?
True
Let o(d) = -d**2 - 17*d + 6. Does 13 divide o(-9)?
True
Suppose 3 + 0 = g. Suppose -7*u + g*u = 48. Is ((-12)/(-10))/(u/(-320)) a multiple of 15?
False
Let n(b) = -11*b**3 + b**2 + 2*b. Let c be n(-2). Let m(r) = 22*r + 23. Let l be m(4). Suppose 4*o + 2*a - c = 0, -5*o - 4*a = -2*a - l. Is o a multiple of 14?
False
Suppose -9*t + 1600 = -t. Is 16 a factor of t?
False
Let f be -15*(24/10 - 0). Let w = -16 - -90. Let u = f + w. Is 11 a factor of u?
False
Let a be -2 - 4/((-8)/18). Suppose -a*k + 3*k = -60. Is 5 a factor of k?
True
Let b be 3/((-8)/(-5) + -1). Let l = -4 + b. Suppose 0 = -5*i + l + 49. Does 3 divide i?
False
Suppose 0 = -4*z - 6*t + t + 225, 4*z = -t + 237. Is z a multiple of 30?
True
Let w = -175 - -257. Does 12 divide w?
False
Suppose -2*q + 26 + 2 = 0. Let t = q + 28. Is 21 a factor of t?
True
Is (-134)/3*5/(10/(-3)) a multiple of 38?
False
Let m = 141 + -77. Does 23 divide m?
False
Let c = 123 - 80. Is c a multiple of 8?
False
Let z be ((-8)/10)/(2/(-20)). Suppose -s + 2*a = z, 6*a - a = 25. Is s a multiple of 2?
True
Is 4/(-26) - 342/(-26) a multiple of 10?
False
Let f(o) = o**2 + 3*o - 5. Let t = 13 + -9. Let g(h) = -2*h**2 - 6*h + 11. Let m(z) = t*g(z) + 9*f(z). Does 7 divide m(3)?
False
Suppose -4 = 5*t - 19. Suppose -t*r + 2*r + 13 = 0. Is 13 a factor of r?
True
Let k = 137 - 97. Is k a multiple of 8?
True
Let h be 2 - 4 - (0 + -2). Suppose 20 = -r + 4*r + 2*k, k - 4 = h. Suppose s + 19 = 4*m, -5*m - r*s + 14 = -2*s. Does 4 divide m?
True
Suppose -5*v = 2*r - 64, 5*r = 3*v - 8*v + 55. Is v a multiple of 5?
False
Suppose -6*f + 589 = -71. Is f a multiple of 19?
False
Let j be (-9 - (1 - 2)) + 2. Suppose -3*h = 5*b + 9, 2*b + 6 = -0*b. Does 6 divide (j + 0)/(h/(-2))?
True
Suppose 0 = 4*z - 0*z. Suppose 3*u - 63 - 25 = -2*i, u = z. Let o = i + -28. Is o a multiple of 7?
False
Does 10 divide (-10)/(-25)*(-400)/(-4)?
True
Let x(d) = -5*d**3 - 4*d**2 + 7*d - 4. Is x(-4) a multiple of 8?
True
Suppose b = -5, -2*i + b = -0*b - 305. Does 39 divide i?
False
Suppose -3*n - 18 + 75 = 0. Is 7 a factor of n?
False
Let s = 70 - -30. Is s a multiple of 25?
True
Let b(x) = 12*x + 7. Let i(v) = -v**2 - 5*v + 5. Let o be i(-5). Is 24 a factor of b(o)?
False
Suppose -h + 2 = -39. Is h a multiple of 9?
False
Suppose 13 = n - 2*v, 3*n - 12 = -2*v - 5. Suppose -n*p = 7*l - 3*l - 24, 5*l + 4 = -2*p. Does 4 divide p?
True
Let p = 16 - 12. Suppose -p*a - 15 = -9*a. Is a even?
False
Let q(d) = -d**3 + 9*d**2 - 6*d - 4. Is q(7) a multiple of 26?
True
Let a(m) = -m + 9. Let v be a(5). Suppose -3*r = -0*r, -v*y + 2*r = -112. Is 14 a factor of y?
True
Let k(m) be the second derivative of 7*m**5/10 + m**2/2 - 4*m. Is k(1) a multiple of 9?
False
Let p(y) = -y**3 - 7*y**2 + 2*y - 4. Let d(n) = n + 3. Let x be d(-3). Suppose x*s - s = 8. Is 17 a factor of p(s)?
False
Suppose -5*j + 2 = -3*b + 13, -4*b + 2*j = -10. Does 9 divide (-2)/(b*2/(-46))?
False
Suppose -2*c - 4*v = -5*c + 12, -c + 4 = 3*v. Is 4 a factor of c?
True
Suppose -5*l - c + 287 = 0, -l = -5*l - 3*c + 223. Does 23 divide l?
False
Suppose -w = c - 11 - 19, -c = 4. Is w a multiple of 8?
False
Let v be 0 + (-17 + 3)/1. Let q be 21/v*(1 + -5). Suppose q*k - 68 = 2*k. Does 6 divide k?
False
Suppose 0 = -7*f + 3*f + 92. Let v = f + 7. Is 23 a factor of v?
False
Suppose 0 = -5*w + s + 154, -5*w + 10 = -4*w + 5*s. Is 10 a factor of w?
True
Let r(f) = 2 - 3 - 2 + f**2 - 2 - 7*f. Let k be r(-4). Suppose k = 4*z - 89. Is z a multiple of 11?
False
Let i = 200 + -93. Suppose -i = 4*n + 13. Is 9 a factor of 10/4*(-252)/n?
False
Let z = -11 - -4. Let f(y) = 4 + y + 12 - 6. Is 2 a factor of f(z)?
False
Let k(g) = 4*g**3 - 8*g**2 - 4*g - 8. Is 13 a factor of k(4)?
True
Suppose 0*l = 2*l + 12. Let i = -9 - -6. Let u = i - l. Is 3 a factor of u?
True
Let p be (3 - 0) + (1 - -1). Suppose -2*u + 114 = p*y, y - 116 = -2*u - 3*y. Is 23 a factor of u?
False
Let f(o) = -o**3 + 5*o**2 - 5*o + 7. Let k be f(5). Does 6 divide (-4)/k - (-156)/27?
True
Suppose 5*b = 9*b - 984. Does 41 divide b?
True
Let c(i) = i. Let z(l) = l - 5. Let b be z(8). Let r be c(b). Let x(p) = 4*p + 1. Is 11 a factor of x(r)?
False
Suppose -8*q = 4*q - 3936. Does 18 divide q?
False
Let t = -74 - -93. Is t a multiple of 2?
False
Let w be (1/2)/((-6)/12). Is w/(3/(-15)) - -2 a multiple of 7?
True
Does 10 divide (-1)/1 + -3*(-286)/3?
False
Let p = 35 - 20. Is p a multiple of 3?
True
Does 9 divide (-34)/(-4) + (-1)/(-2)?
True
Let n = -24 + 180. Is n a multiple of 26?
True
Let o(p) = -p**3 + 7*p**2 + 2*p + 10. Suppose 30 = 4*l + z - 2*z, l + 4*z = -1. Is 8 a factor of o(l)?
True
Let w(l) = 125*l**2 + l + 3. Let i be w(-2). Is i/12 + (-1)/(-4) a multiple of 14?
True
Let m be ((-2)/3)/(4/24). Does 4 divide (-1)/(-3)*(m - -34)?
False
Suppose 0*h - 2 = -h. Suppose i + v = 37, 75 = -h*i + 4*i + v. Is 22 a factor of i?
False
Let s(b) = -b**2 - 8*b - 1. Let i be s(-6). Suppose 0 = a - i - 25. Suppose 2*l = 2*q + 8 - 0, -3*l = 3*q - a. Is l a multiple of 4?
True
Suppose -5*f = -0*f - 100. Suppose 10*r = 5*r + f. Does 13 divide (2 - 21/r)*-4?
True
Let y(o) = 16*o. Suppose -5*a + 0*a = -15. Let u(v) = 33*v. Let s(c) = a*u(c) - 7*y(c). Does 13 divide s(-1)?
True
Let o(y) be the third derivative of -y**7/2520 - y**6/144 - y**5/60 + y**4/8 + y**2. Let p(f) be the second derivative of o(f). Is 4 a factor of p(-2)?
True
Let u = -229 - -393. Is u a multiple of 31?
False
Let x = -61 + 121. Is 10 a factor of x?
True
Let l(k) = k**3 + 12*k**2 + 28*k - 2. Is 33 a factor of l(-5)?
True
Suppose -200 = -4*o + c, 5*c + 50 = -0*o + o. Is 24 a factor of o?
False
Let o be 1 + 3 + 0 + 0. Suppose 2*l - 46 = 3*c, 0 = -o*l + 4*c - 32 + 128. Is (2 + l/(-3))*-3 a multiple of 10?
True
Let j(c) = -c**2 - 5*c. Let d be j(-5). Suppose 2*l - 3*w = 2, d = -l - 0*l + 3*w - 5. Suppose -22 = -2*x - l*i + 3*i, -115 = -5*x + 2*i. Does 13 divide x?
False
Suppose -10 = 5*n, -166 = 4*f - 6*f - 3*n. Let i = f + -31. Does 19 divide i?
False
Let l(s) be the third derivative of s**6/120 + s**5/5 + s**4/4 - 13*s**3/6 - 4*s**2. Let z be l(-11). Let t = z + 0. Does 21 divide t?
True
Let h(s) = -s**3 + 6*s**2 - 7*s + 7. Let k be h(5). Let n be (-2)/6 - 61/k. Suppose 3*p - p = x, x = -2*p + n. Is 5 a factor of x?
True
Suppose 10 = 3*s - 20. Suppose -2*m = -6 - s. Is 7 a factor of m?
False
Does 13 divide 6425/125 - (-1 - (-4)/10)?
True
Let c(y) = -y**2 - 10*y + 6. Let s be c(-9). Let r(d) = 5*d - 8. Let f be r(-8). Is 10 a factor of (10/s)/((-2)/f)?
False
Let i(t) = 92*t - 11. Let k(s) = -31*s + 4. Let b(g) = 3*i(g) + 8*k(g). Is b(1) a multiple of 13?
False
Suppose 2*z + 11 = -3*x, -x + 3*z - 12 = 4*x. Let k be -2 - 1/(x/15). Suppose -2*m + 19 = -0*f - k*f, 0 = -5*m - 3*f + 58. Is 11 a factor of m?
True
Let c = -10 + 10. Suppose 5*t + p - 53 = c, -5*t + p = -p - 59. Does 8 divide t?
False
Suppose -y + 5*y = 20. Suppose -y*s + 128 = -2. Is s a multiple of 11?
False
Suppose 15*c + 1494 = 21*c. Is c a multiple of 54?
False
Let j(k) = -k**3 + k + 1. Let u(p) = 3*p**3 + 8*p**2 - 6*p - 12. Let z(o) = 2*j(o) + u(o). Does 11 divide z(-8)?
True
Let h(a) = 3*a**2 - 7 + 3*a**2 - 2*a - 9*a**3 + 11*a**3. Let w be h(-5). Let m = -46 - w. Is 13 a factor of m?
False
Let n be (-16)/(-6)*(-156)/(-8). Does 10 divide (-18)/12*n/(-3)?
False
Is 2 + (0 - (-39 - -3)) a multiple of 11?
False
Let x be (4/8)/(1/6). Suppose x*t = t + 48. Is t a multiple of 8?
True
Suppose -4*b = -y + 111, 5*b - 195 - 155 = -3*y. Is 24 a factor of y?
False
Suppose 5*m = 3*y + 95, 3*m = -2*y + 16 + 60. Suppose -m - 8 = -5*g. Is g a multiple of 6?
True
Let h(a) = a**2 + a + 9. Let u be h(7). Suppose 0 = 5*d - 2*q - u, 4*d = 2*q + 51 + 3. Does 11 divide d?
True
Suppose q = 1 + 15. Suppose 3*p + 2*z = q, -4*z - z + 13 = 3*p. Is (p/(-10))/((-5)/75) a multiple of 9?
True
Let d(h) = 5*h + 34. Is d(9) a multiple of 12?
False
Suppose -5*u + 3*u + 78 = 0. Let l = u - 2. Is 13 a factor of l?
False
Let g be 6 + -1 + 1 | {
"pile_set_name": "DM Mathematics"
} |
**2 wrt z.
-312*z
Suppose -43*f - 32*f = 0. Let w(c) be the third derivative of 0*c**4 - c**3 + f + 0*c - 7/60*c**5 + 13*c**2. What is the derivative of w(d) wrt d?
-14*d
Suppose 6 = 4*s - 2. Let l be ((-12)/(-20))/(8 + (-429)/55). Find the third derivative of -122*g**l - 27*g**5 + s*g**2 + 122*g**3 + 0*g**2 wrt g.
-1620*g**2
Let k(x) = -x**2 - 2*x. Let t(p) = -144*p**4 + 493*p**2 - 10*p - 3. Let l(y) = 5*k(y) - t(y). Find the third derivative of l(m) wrt m.
3456*m
Suppose -3*n + 16 = 2*u, -6*u = -4*u + 5*n - 16. Let k be (4/(-8))/((-1)/u). What is the derivative of -6 + 8*s**k - 9 + 7*s**4 wrt s?
60*s**3
Let d be (-22)/(-4)*(-1100)/(-10). Suppose -7*z = -d - 459. What is the derivative of -4*u - z*u**4 + 136*u**4 + 12 + 4*u wrt u?
-64*u**3
Let m = 6 + 133. Find the third derivative of 12*u**2 - m*u**2 - 137*u**3 - 315 + 315 wrt u.
-822
Find the second derivative of 1558*y**3 + 13982 + 605*y - 13981 - 207*y**3 wrt y.
8106*y
Let a(m) = -2995*m**2 + 30*m - 8727. Let j(z) = -4489*z**2 + 48*z - 13090. Let g(r) = -8*a(r) + 5*j(r). Differentiate g(f) with respect to f.
3030*f
Let q be 46/161 - 38/(-14). Suppose 0 = -4*y + 5*c + 536, -145 = 3*y - 5*c - 547. What is the third derivative of -y*o**2 + 129*o**2 - 2*o**3 - o**q wrt o?
-18
What is the second derivative of -2294*l + 364332 + 6920*l - 6356*l**3 - 364332 wrt l?
-38136*l
What is the third derivative of -1374*u**2 - 25 - 61 + 21*u**4 + 86 - u**3 - 432*u**2 wrt u?
504*u - 6
Let n(h) be the first derivative of 256*h**3 - 476*h + 1247. Differentiate n(r) wrt r.
1536*r
What is the third derivative of -123*j**3 + 62 - 127 + 65 + 2679*j**2 - 2765*j**3 wrt j?
-17328
What is the second derivative of 33 - 3*f**2 - 28*f**3 + 560*f + 812*f - f**4 - 1421*f wrt f?
-12*f**2 - 168*f - 6
Find the third derivative of 12*u**3 + 10*u**4 + 125*u**4 - 5*u**2 - 7*u**4 - 249834*u + 249201*u wrt u.
3072*u + 72
Find the first derivative of -534 + 2961 - 3340*p - 398 - 152*p + 1542 wrt p.
-3492
Let o = 9 + -2. Let q(y) = -6*y**2 + 25*y - 16. Let f be q(3). What is the second derivative of 2*u + f*u**4 - 6*u + 8*u**4 - o*u wrt u?
156*u**2
Suppose 3*s = -4*c + 636, 3*s = -2*c + 28 + 296. Let l = 3 - 0. What is the first derivative of -156*v + 3 - 15*v**l + c*v wrt v?
-45*v**2
Let x = -22 - -46. Suppose -x = -8*t - 0*t. What is the third derivative of 3*p**t - 4*p**2 + 6*p**2 + p**2 wrt p?
18
Let c be (-4)/(-4 - 8)*1887. What is the second derivative of 11*f + 74*f - c*f**3 + 737*f**3 wrt f?
648*f
Suppose -135 = 25*k - 860. Find the third derivative of k*w**3 + 2312 - 2312 - 5*w**2 wrt w.
174
Suppose -2*c + 39 = -4*v - 33, 12 = 4*v. Suppose -10*l + c = 4*l. Find the third derivative of -10*p**l - 12*p**3 + 39*p**2 - 74*p**2 + 31*p**2 wrt p.
-132
Suppose 0 = t - 5*t. Suppose 3*x - x - 14 = t. Find the first derivative of 11 + 2*p**3 + 12*p**3 - x + 9 wrt p.
42*p**2
Suppose 35 = 2*x + h, -13*x = -9*x - 4*h - 52. Let s(f) be the first derivative of 15 + 0*f**2 + x*f - 3/4*f**4 + 0*f**3. What is the derivative of s(w) wrt w?
-9*w**2
Let t be 1/(-4) + 7605/(-60). Let c = 149 - t. What is the derivative of 152 + 156 - c + 16*l wrt l?
16
What is the second derivative of -773*a**5 - 91*a**3 + 223*a**3 - 134*a**3 + 3471*a wrt a?
-15460*a**3 - 12*a
Let o(r) be the second derivative of -r**5/10 - 7*r**4/4 - 85*r**3/6 - 4292*r**2 - 5*r - 990. What is the derivative of o(s) wrt s?
-6*s**2 - 42*s - 85
Let f(n) be the third derivative of 371*n**6/15 - n**4/8 - 1867*n**3/3 - 6*n**2 - 365*n. Differentiate f(l) wrt l.
8904*l**2 - 3
Let a(w) = -w**3 - w**2 + 3*w + 2. Let j(d) = 3*d**3 - 412*d**2 - 3*d + 353. Let m(i) = -2*a(i) - 2*j(i). Differentiate m(r) with respect to r.
-12*r**2 + 1652*r
Find the first derivative of 1003 - 67*l**2 + 7*l**2 + 3659 - 920 wrt l.
-120*l
Let p(v) be the third derivative of v**7/210 + 757*v**5/60 - 5*v**4/24 + 2*v**3 - 108*v**2 - 8. Find the second derivative of p(g) wrt g.
12*g**2 + 1514
Let i(h) = 22*h**3 - 32*h**2 + 166*h + 18826. Let v(t) = -9*t**3 + 16*t**2 - 83*t - 9414. Let l(o) = -2*i(o) - 5*v(o). Differentiate l(m) with respect to m.
3*m**2 - 32*m + 83
Let p(x) be the first derivative of -6864*x**7/7 + x**3 - 95*x**2/2 - x + 7341. What is the third derivative of p(s) wrt s?
-823680*s**3
Let g(t) be the second derivative of -2419*t**6/30 + t**5/10 + 2947*t**4/12 + t**3/2 + 11820*t. Find the third derivative of g(c) wrt c.
-58056*c + 12
Let f = -35 + 37. Let r be ((f/(-4))/(-1))/((-18)/(-72)). Differentiate -12 - 9*o**2 + 73*o - 73*o - 4*o**r wrt o.
-26*o
Let c(t) be the first derivative of -5*t**6/6 - 8*t**5/5 - 20*t**3/3 + 7739*t**2/2 + 5496. What is the second derivative of c(q) wrt q?
-100*q**3 - 96*q**2 - 40
Find the third derivative of 3364*m**5 - 7*m + 265*m**2 + 7*m - 1903*m**2 - m + 8984*m**5 wrt m.
740880*m**2
Let u be 1/(-7) + (-211)/(-7). What is the third derivative of -28*r**6 - 37*r**2 + r - 5 - r + 205*r**6 + u*r**2 wrt r?
21240*r**3
Let k(b) = 17*b**2 + 25. Suppose -5*t + 2*t + l - 10 = 0, -l = -t. Let z(o) = 11*o**2 + 17. Let v(p) = t*k(p) + 8*z(p). Find the first derivative of v(q) wrt q.
6*q
Let n = 289 + -284. Find the third derivative of -4*y**n + 42*y**2 - 32*y**2 + 2*y**5 - 3*y**3 + 3 - 26*y**2 wrt y.
-120*y**2 - 18
Suppose -16*w = 9*w - 2925. Differentiate -179 - w + 143*t + 131 with respect to t.
143
Let l(w) be the third derivative of w**6/15 + 13*w**5/30 - 7*w**4/24 + 667*w**3/3 - 12*w**2 + 47. What is the derivative of l(m) wrt m?
24*m**2 + 52*m - 7
Let c be (1/(-2))/((-2)/40). Suppose -l - c = 3*i, -3*i - 8 = -i. What is the second derivative of -9*u**3 - u + l*u + 3*u wrt u?
-54*u
Find the third derivative of 12731*l**2 + 7*l**4 + 31*l + 12740*l**2 - 25494*l**2 - 24*l**3 wrt l.
168*l - 144
Let s = 157 - 23. Let j = 486 + -484. What is the second derivative of s*q**2 + j*q - 134*q**2 - 14*q**3 wrt q?
-84*q
Let v(c) = 671*c - 951. Let r(i) = -658*i + 952. Let z(g) = -3*r(g) - 4*v(g). Differentiate z(y) with respect to y.
-710
Suppose 3*i - 423 = -3*g, 0*g = -3*i + g + 407. Find the second derivative of 1 - i*d + 139*d - 77 + 65*d**2 wrt d.
130
Let f(m) = -24*m**3 - 29*m**2 + 11*m - 274. Let i(j) = -25*j**3 - 27*j**2 + 7*j - 272. Let h(p) = -3*f(p) + 4*i(p). What is the second derivative of h(n) wrt n?
-168*n - 42
Find the second derivative of -21*j - 459*j**3 - 476*j**3 - 55*j - 9 wrt j.
-5610*j
What is the third derivative of -2 + 3657*x**2 + 3*x - 3*x - 673*x**3 + 3665*x**2 - 7256*x**2 wrt x?
-4038
Let a(n) be the third derivative of -71/6*n**3 - 12 + 37/60*n**5 + 0*n - 2*n**2 + 0*n**4 + 1/120*n**6. Differentiate a(y) wrt y.
3*y**2 + 74*y
Let w(i) be the first derivative of -1378*i**3/3 - 705*i**2 - 22. What is the second derivative of w(z) wrt z?
-2756
Let k(v) be the third derivative of 425*v**8/336 + v**6/60 - 229*v**4/24 - 748*v**2. What is the second derivative of k(g) wrt g?
8500*g**3 + 12*g
What is the first derivative of 2155915*i + 4518 - 6396*i**4 - 2155915*i wrt i?
-25584*i**3
Let q = 104 + -102. Find the third derivative of 152*z**2 - 178*z**q + 4*z**3 + 42*z**3 wrt z.
276
Let q = 9 + -7. Suppose -1 - 9 = -5*k. What is the third derivative of -10*t**5 - 11*t**5 + 12*t**k - 3*t**q + 38*t**5 wrt t?
1020*t**2
What is the derivative of 1468*r**4 + 123424*r + 305 - 229*r**4 - 123426*r wrt r?
4956*r**3 - 2
Suppose 0 = 3*u - 15*u + 24. Find the third derivative of 1699*f**u + 4*f - 28*f**3 - 1696*f**2 + 4*f wrt f.
-168
Let c = 333 + -329. Find the third derivative of 12*x**4 + 10*x**c + 12*x**3 - 39*x**2 - 10*x**2 - 21*x**4 + 4*x**3 wrt x.
24*x + 96
Let h(f) be the second derivative of 27 + 0*f**2 + 0*f**3 - 25/3*f**4 + 3/10*f**5 + 5/6*f**6 - 2*f. Find the third derivative of h(o) wrt o.
600*o + 36
Let x(f) be the second derivative of 2501*f**6/10 + 6271*f**2 - f + 334. What is the first derivative of x(n) wrt n?
30012*n**3
Differentiate -1137*m - 110*m + 266*m + 5892 - 5534 wrt m.
-981
Let f(w) be the third derivative of 0*w**5 + 2*w + 1/40*w**6 + 0 + 16*w**2 + 1/8*w**4 + 17/3*w**3. Find the first derivative of f(u) wrt u.
9*u**2 + 3
Suppose -13*q + 16*q + 15 = 0. Let h(y) = y**2 + 3*y - 4. Let r be h(q). Differentiate 6 + 32*p**2 - 22 - 6*p + r*p wrt p.
64*p
Differentiate 15*y**3 - 220*y + 950*y**2 - 4765 + 220*y - 10*y**3 - 3*y**3 with respect to y.
6*y**2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
a(-1). Let k = r - l. Solve -2*d = k*d for d.
0
Suppose -a - 2*a + 24 = 0. Let l(b) = b**3 - 8*b**2 - b + 8. Let d be l(a). Solve 5*g - g + 12 = d for g.
-3
Let r(z) = z**3 - 11*z**2 - z + 16. Let n be r(11). Let b(g) = -g**2 + 7*g - 7. Let i be b(n). Solve -i*a - 4 = -a for a.
-2
Let p(m) = 7 + m + 9*m - 11*m. Suppose 0 = n + 4, 0 = 5*y + 3*n + 50 + 7. Let g be p(y). Solve -x - 3*x + g = 0 for x.
4
Let z = 11 - 5. Suppose 0 = z*b - 12. Solve i - b*i = -1 for i.
1
Let b = -136 - -137. Solve -4*h + 5 - b = 0 for h.
1
Let a = 6 - -8. Suppose -a = -2*u - 4. Solve -u = -o - 0 for o.
5
Let o(i) = i. Let z be o(4). Let l(d) = d**3 - 5*d**2 + 4*d. Let b be l(z). Suppose -4 = -2*s - b*s. Solve 3*c + 5 = -s*c for c.
-1
Let p(r) = r - 2. Let k be p(2). Suppose k = -2*d - 5*i + 10, -2*d - 3 = i - 5. Solve -4*f + 3*f - 2 = d for f.
-2
Let d be (-3)/5 + (-6)/(-10). Suppose -5*x + 65 = 5*y, 4*y - 2 = -x + 14. Let i = x - d. Solve 8 = -4*h - i for h.
-5
Let u = -46 - -54. Solve 0*x = -4*x - u for x.
-2
Let h be 364/70 - (-1)/(-5). Solve -o = -6*o + h for o.
1
Let i(r) = 29*r - 1. Let q be i(1). Suppose s = 3*f, 9 - q = -5*s - 4*f. Suppose s*p = 2 + 7. Solve -2*n = -n + p for n.
-3
Let n be -3*(-6)/(-63) + 112/49. Solve -3*a + n = -a for a.
1
Suppose -3*u + 29 = -2*u. Let t = -6 + u. Suppose t = 2*m + 3*q, -22 - 25 = -2*m + 5*q. Solve 9 = 5*v - m for v.
5
Let c be -1*3*(-16)/6. Let p(s) = 13 - s - 3*s - 3 + 3*s. Let a be p(c). Solve -a = 2*t - 6 for t.
2
Let m be (2/(-4) - 2)*16/(-20). Solve 2*j = -m - 4 for j.
-3
Let c(k) = 7*k**2 - 2*k - 2. Let g(q) = -q**2 - 6*q + 2. Let u be g(-6). Let r be c(u). Suppose -3*n = z - r, 0 = 3*n - 8 - 4. Solve z = 5*j - 5 for j.
3
Suppose -18 = -9*t + 3*t. Solve -t*b = -4*b + 4 for b.
4
Suppose 15 + 5 = 4*u. Suppose 0 = 3*c - u*i - 2, 16 = 6*c - 4*c + 4*i. Solve -c = -4*j - 20 for j.
-4
Suppose -27*i + 33*i = 12. Solve -i*r - r = 0 for r.
0
Suppose -3*u + 16 = u. Let y = u + -4. Solve y = -9*f + 4*f + 25 for f.
5
Let v be 9/6 - (-2)/4. Solve v*o + 10 = 2 for o.
-4
Let z = 6 - -2. Solve x + x = -z for x.
-4
Suppose -2*z = 2*z + 8. Let r be 49/(-14) - 3/z. Let g be 1 + 1 + (-4 - r). Solve -l + 1 + 0 = g for l.
1
Suppose 4*x + 53 = 3*r, 2*x = -r - 0*r + 11. Suppose -6*f = -f - r. Solve 3*u = -f - 3 for u.
-2
Suppose -2*b - 5*o = -5*b + 68, -b + o = -22. Solve -b = -5*w + 4 for w.
5
Let x be (-6)/(-30) + 24/5. Solve 0 = -x*w + 6*w for w.
0
Let s be (-1)/2 - 6/4. Let v(c) = c + 5. Let u be v(s). Solve -u*o = -12 - 0 for o.
4
Suppose -x + 27 = 5*o, -2*x + 42 = x + 2*o. Suppose 3*t - 11 = -c + 7, -3*t + 12 = -c. Suppose 0 = 4*z + q - 12, -c = z - 2*z + 3*q. Solve 0*f - x = -z*f for f.
4
Suppose -5*j = 5*y - 90, -y - 3*j - 4 + 26 = 0. Solve 5*p - 6 = -y for p.
-2
Let h = -66 - -71. Solve h*j - 4 = 11 for j.
3
Let x = 2 - -3. Suppose -2*k + 3 + x = 0. Solve k = -h - 0*h for h.
-4
Let x be (-8)/(-14)*(-28)/(-8). Suppose 4*c - 10 = x. Solve 2 = -5*o - c for o.
-1
Let b be (1 + -1)/3 + 2. Suppose -7 = -4*d - 27, y - 2 = -d. Suppose 6*l + 8 = y*l. Solve -b*r = -0 + l for r.
-4
Let k be (-83)/(-9) + 6/(-27). Suppose g - 2*i - k + 3 = 0, -6 = g + 2*i. Solve 0 = a - g + 2 for a.
-2
Let a = -10 - -21. Let z = 12 - a. Solve -4*t - z + 13 = 0 for t.
3
Let t = 42 + -36. Solve 5*o = -4 - t for o.
-2
Suppose 0 = 3*n - o - o - 8, -10 = -4*n + 2*o. Solve -n*f - f = 9 for f.
-3
Let z = -6 + -10. Let t be ((-4)/6)/(z/24). Solve 0 = f + t - 3 for f.
2
Suppose 4*i = -5 - 7. Let n be (i - -1 - -2)/(-1). Solve -b - b - 4 = n for b.
-2
Let w = 11 + -9. Suppose t = -w*t + 18. Solve -2 + t = 2*q for q.
2
Suppose 5*l = -t - 3, 2*t + 1 = -3*l + 2. Let r = 0 + 3. Solve t = -r*a - 1 for a.
-1
Let q be 10/(-85) - 38/(-34). Solve 0 = y - q for y.
1
Let d be 5 + (-5)/(15/(-9)). Solve 4*z + 0 = -d for z.
-2
Let n be ((-48)/(-8))/((-1)/(-1)). Let r be (-1 + -2)/(1/(-3)). Let m be n/r*-3*-1. Solve 2*s = 8 + m for s.
5
Let j be (16/10)/((-8)/(-20)). Let i = j + -2. Solve 10 = i*k - 0 for k.
5
Let k be -2 - ((-3 - 1) + -7). Solve k*s - 4*s = -10 for s.
-2
Let f(u) = -8*u + 3*u**2 + 13*u + u**2 - u**2. Let y be f(5). Suppose -k + y = 3*k. Solve -5 = -5*m - k for m.
-4
Let h = -13 + 31. Let x be h/(-30) - 38/(-5). Solve -x*a + 2*a = -15 for a.
3
Suppose w - 30 = -4*w. Suppose 0 = -2*r + w*r - 16. Solve 0 = -r*l + 6 + 14 for l.
5
Let u = 29 - 27. Solve -u*t + 0 = 2 for t.
-1
Let c = 0 - 6. Let i be 2 + 0 - (c + 8). Solve -2*z + i + 8 = 0 for z.
4
Let g = -1 - 0. Let s = 2 - g. Solve 2 = -s*f + 5*f for f.
1
Let d = 23 - -5. Suppose 5*c - d = -4*q, 0*q = -q - c + 6. Solve 3*a + q*a = -10 for a.
-2
Suppose 5*m = -3*s + 5*s - 33, -3 = s + 4*m. Suppose -16 = -s*x + 7*x. Solve -3*w - 1 = x for w.
-3
Let t = 51 + -31. Solve -t = -3*u - 5 for u.
5
Suppose -3*j = j. Solve j = d + 4*d - 10 for d.
2
Suppose -6 + 1 = -n. Suppose -4*j + n*j = 3. Solve -3*v + j = -6 for v.
3
Let y be 4/(-3)*48/(-32). Suppose c - y = 3*n + 11, -3*c + 7 = -n. Solve c + 7 = -4*l for l.
-2
Let h be (-5 + 102/24)*(-1 + -3). Let n = -30 - -43. Let f = 21 - n. Solve k - f = -h*k for k.
2
Let z be 2/(-5) - 124/(-10). Solve -z = 4*t - 32 for t.
5
Let z(i) = -8*i - 3. Let q be z(-1). Solve -9 = -q*r + 16 for r.
5
Let a = -13 + 8. Let g = a + 8. Solve -g*r + 12 = r for r.
3
Suppose 0*q = -3*q. Let k = -12 - -17. Let z = q + k. Solve z = -2*o + 7*o for o.
1
Let b = 1 - 1. Let m be (-1 + 1)/(2 + -4). Solve m = -b*q - q for q.
0
Suppose 3*x + 3*g - 18 = 0, 4*x - x + 2*g = 17. Suppose -2*k + 11 = x*m, -25 = -4*k - 3*m - 10. Suppose -k*t + 2 = -10. Solve 4 = t*r - 0 for r.
1
Suppose 60*i = 64*i - 8. Solve 5*m = -i - 3 for m.
-1
Suppose -14*n + 29 = -27. Solve 1 = n*j + 5 for j.
-1
Let f be (-3)/(-9) + (-32)/(-3). Suppose 2*l + 10*g = 5*g - f, -4*g + 5 = -3*l. Let u be (-3 - 0)/(l/2). Solve -u*n = -4*n for n.
0
Suppose -4*f = 5*u - 25, -5*f = u - 3*u - 23. Let c(x) = -4*x + 0*x**2 + x**2 + u + 3*x. Let a be c(1). Solve -a + 7 = 3*h for h.
2
Let k be 5/1 - (-2 + 2). Solve 2*x - k*x = 15 for x.
-5
Let c be 2/(-4)*(5 - (-5 + 20)). Solve -6*v = -v - c for v.
1
Let v = 1 - 5. Let b be 8/6 - v/6. Solve 12 = -b*a - 2*a for a.
-3
Let i be (-46)/4*(3 - 5). Suppose 4*w + 3*l - i = 0, 0*w + 21 = 4*w + l. Let r be (1 - 1)/(-2 + 1). Solve -w*g + g + 12 = r for g.
3
Let k = -48 + 68. Solve k - 4 = 4*j for j.
4
Let x = 3 - -1. Suppose 2*m + 0*m = 0, x*m - 9 = -3*y. Suppose 0 = -y*n + n. Solve 4*f + 0*f - 4 = n for f.
1
Suppose 3*f - 3*m = m + 9, 5*f = -3*m + 15. Suppose -f = -3*o + 9. Suppose 4*q - 60 = o*c, 0*q - 5*c = 5*q - 75. Solve 3*i - q = 8*i for i.
-3
Let m = 92 + -87. Solve -2*i + 15 = -m*i for i.
-5
Suppose 0 = -3*q + 2*f - 4, -2*q + f + 0 - 1 = 0. Let b(r) = -r**3 - 3*r**2 - r + 1. Let p be b(-2). Let s be (p/(-3))/((-5)/(-75)). Solve s*d + q = -18 for d.
-4
Let f(p) = p**2 - 8*p + 10. Let x be f(7). Let v = x + 0. Solve -v*i = -i + 8 for i.
-4
Let d(c) = -c**2 - 3*c + 5. Let p(n) = 3*n + 2. Let t be p(-2). Let j be d(t). Let k = j + 20. Solve 5*l = 4 + k for l.
5
Suppose 2*j - 2*y - 8 = 0, -2*y - 2*y = -5*j + 20. Suppose -9 = 3*z - 3. Let s be (36/(-42))/(z/14). Solve 2 + s = -j*t for t.
-2
Let x(o) = 2*o + 17. Let c(u) = 3*u + 25. Suppose 3*i + 25 = -2*i. Let p(n) = i*c(n) + 8*x(n). Let b be p(-6). Solve -3*g = -b*g + 2 for g.
1
Let v be 5/(-1 + 6/4). Suppose -v + 5 = -a. Suppose -k = -a*k. Solve k*g - g + 1 = 0 for g.
1
Let a = 9 - 4. Solve 4*i - a = 15 for i.
5
Let a be (-1)/(-1 + (-2)/(-4)). Let h(b) = -b**3 + 7*b**2 - 10*b + 6. Let v be h(5). Solve -a*u + v*u = 0 for u.
0
Let w = -7 + 9. Let k be (0 - w)/(-1) + 4. Solve -3*t - 6 = k for t.
-4
Let j(t) = t**2 + 2*t - 3. Suppose q - 4*q = -2*o + 13, -2*q = -5*o + 16. Let y be j(o). Let d = -5 + y. Solve 2*l + d*l = -10 for l.
-5
Let p = -26 - -38. Let z be 4/14 + p/(-42). Solve z = -5*c + c - 8 for c.
-2
Suppose 0 = g - 9 + 1. Suppose m + g = 3*m. Suppose -4*z + s - 28 = -5*z, s = -5*z + 120. Solve -3 + z = m*n for n.
5
Suppose 4*d + 25 = -d. Let f = -2 - d. Suppose -k + 2*k - 2 = 0. Solve -f*q = k*q - 5 for q.
1
Let x be (-10)/(-6) + 10/30. Suppose u = 4*r + 8, x*r - 11 = 2*u - 27. Solve -4*f - u = -0*f for f.
-2
Suppose -4*h - 8 + 0 = -5*y, 4*h - 32 = -5*y. Suppose -g + 2 = -h*x, 3*x + 2*x - 4*g + 15 = 0. Let k = x + 1. Solve s = -s - k for s.
-1
Let p(z) = -z** | {
"pile_set_name": "DM Mathematics"
} |
**1/w)/w))**(-35)*(w/(w**(-2/7)*w))/w**(2/15) assuming w is positive.
w**(-7334/105)
Simplify (f/(f*f/f**(7/2)*f*f)*f/((f*((f/(f/(f/f**(2/11))))/f)/f)/f))/((f/f**(3/8))/(f**1/f)) assuming f is positive.
f**(181/88)
Simplify (((w**(2/43)*w)/(w/(w*w**(-1/17))))**(-4/15))**(-3/17) assuming w is positive.
w**(2888/62135)
Simplify (k/((k**(-7/3)/k)/k)*k*k/(k**(1/7)/k))/(k*k**(-6/17)*k**(-11)/k) assuming k is positive.
k**(6977/357)
Simplify k/(k*k**7)*k*k**(-4)*k**3/k*k**(-2/5)*k assuming k is positive.
k**(-37/5)
Simplify ((m/(m*m**10/m)*m/m**(1/8))**(-6/5))**(6/23) assuming m is positive.
m**(117/46)
Simplify (s**(1/4))**27*(s/(s/(s/s**(2/43)*s)))/s**(-12/5) assuming s is positive.
s**(9549/860)
Simplify (a**(-1/25))**(14/9)/((a/((a/a**12)/a)*a)/(a/((a/(a/a**24))/a))) assuming a is positive.
a**(-8114/225)
Simplify ((y**4/(y/((y/y**(3/7))/y)))/(y/(y*y**(-1/2)))**(2/41))**12 assuming y is positive.
y**(8772/287)
Simplify (s/(s/s**9)*s/s**(-6))/(s**(-1/12))**46 assuming s is positive.
s**(119/6)
Simplify (((u**31*u)/u)/(u/u**(12/13)))/(u/u**(-4/7))**(15/2) assuming u is positive.
u**(3483/182)
Simplify (z**(2/7)/z)**(6/13)*(z**0)**(-33/4) assuming z is positive.
z**(-30/91)
Simplify (o/(o/(o*o*o**(12/5))))**31/(o*o*o/(o/o**23)*o**(10/3)/o*o) assuming o is positive.
o**(1621/15)
Simplify o**1/(o**(2/7)*o)*(o*o/(o/o**23))/(o**(4/27)*o) assuming o is positive.
o**(4265/189)
Simplify (z**(-1/2)/z)**(-36)/(z/(z*z**1))**(-10) assuming z is positive.
z**44
Simplify ((r*r**(-12/7)*r*r)/r)/(r**(3/4)/r)*r**(-20)*r*r*r**(1/31)*r assuming r is positive.
r**(-14263/868)
Simplify (p*p**(2/11))**(-40)*(p**4)**(-2) assuming p is positive.
p**(-608/11)
Simplify (i*i/(i*i*(i/i**0)/i*i*i*i*i)*i)**(4/29)*i**(3/10)*i*i*i/i**(3/11) assuming i is positive.
i**(8337/3190)
Simplify d**0/((d**1*d)/d)*((d/(d/d**3*d))/d)**(-43) assuming d is positive.
d**(-44)
Simplify (j**(1/9)*j**0*j**(-2)*j**(1/7))**8 assuming j is positive.
j**(-880/63)
Simplify b**(-12)*b**(2/7)*b**(2/5)*b**(-5/7)*b assuming b is positive.
b**(-386/35)
Simplify (a**(3/10))**49/(a*a*a*a*a*(a**23/a)/a)**(4/11) assuming a is positive.
a**(577/110)
Simplify ((k*k**(4/7)/k*k*k)/(k/k**(-1/8)))/(((k**(3/4)*k)/k)/(k/k**(-12))) assuming k is positive.
k**(767/56)
Simplify (g/(g/g**(-1/21)))**(-46)/(g/((g*g**15*g*g)/g))**7 assuming g is positive.
g**(2398/21)
Simplify (i*(i**4*i)/i)**(18/13)/(i/i**(-5))**39 assuming i is positive.
i**(-2952/13)
Simplify (o/(o*o**(-2))*o*o/(o/(o*o**4)))**45 assuming o is positive.
o**360
Simplify (q**3/((q/(q**3*q))/q)*(q/q**2)/q**5)**30 assuming q is positive.
q**30
Simplify (p**(-2))**1/((p*p/p**(9/2)*p*p)/p**(2/9)) assuming p is positive.
p**(-23/18)
Simplify (j/((j*j**(-12/7))/j)*(j*j**(-10/3))/j)**29 assuming j is positive.
j**(-377/21)
Simplify (x/x**(-2/3)*x/x**(-2/11)*(x*x/(x*x**(-2/7)*x)*x*x)**37)**(-25) assuming x is positive.
x**(-504850/231)
Simplify h**(-3/2)*(h**(1/18)*h*h)/h*(h/h**(-8/3))**(-21/2) assuming h is positive.
h**(-701/18)
Simplify (((x*x**18)/(x/(x**6*x)))**45)**(-1/8) assuming x is positive.
x**(-1125/8)
Simplify (a/((a/(a/(a/(a/(a*a**32*a*a)))))/a))/(a*a/((a/(a**(-11/5)*a)*a)/a))*(a*a**(-22))**(-3/16) assuming a is positive.
a**(-2309/80)
Simplify t**(-4/9)*t/(t/((t*t**1*t)/t))*t**(-1/4)/t**(-2/15) assuming t is positive.
t**(259/180)
Simplify y/(y/((y**(-34)/y*y)/y*y))*y**(1/11)*y**17/y**(-30) assuming y is positive.
y**(144/11)
Simplify (((q/q**(-2/11))/q*q*q/q**(-6/7)*q)/(q**(-1/4))**(-10))**(2/183) assuming q is positive.
q**(79/4697)
Simplify ((z/(z/(z/(z**(-7)/z)*z))*((z*((z**(-4)*z)/z)/z)/z)/z*z)/(z**(1/3))**(-6/11))**(-40) assuming z is positive.
z**(-2280/11)
Simplify ((u**(-2)*u**(5/3)/u*u)/((u/(u/(u**(-9)/u)))/(u/u**(-1))))**21 assuming u is positive.
u**245
Simplify (n**(-5)*n*n**6*((n/(n/n**(2/5))*n*n)/n)**(-1/8))**(-3/2) assuming n is positive.
n**(-219/80)
Simplify (j**(-14)*j*j**(1/5))/(((j/(j*j*j*(j/((j*(j/(j/(j*j**(-20))))/j)/j))/j*j*j))/j)/(((((j*j/(j/(j/(j**20/j))))/j)/j)/j)/j)) assuming j is positive.
j**(-44/5)
Simplify (x*x**(-7))**(-6)*(x*(x/x**12)/x)**(1/68) assuming x is positive.
x**(2437/68)
Simplify ((o**4*o*o)/(o*o**(-2/5)*o*o))/(o/(o/o**(-2))*o*o*o*o**(-1/3)) assuming o is positive.
o**(41/15)
Simplify ((i**(4/3)/i**(-11))**(-8))**(2/55) assuming i is positive.
i**(-592/165)
Simplify (g/g**(-1))**(7/5)/(g*g**5*g**6) assuming g is positive.
g**(-46/5)
Simplify (i**(-14)/(i**(-5)/i*i))/(i*i**(-9)*(i/(i*((i/(i/(i/((i**(4/7)/i*i)/i))))/i)/i))/i) assuming i is positive.
i**(-4/7)
Simplify (((a*a/(a*a**0))/(a/(a/((((a/a**(-2/9))/a)/a)/a))))**(2/61))**(1/9) assuming a is positive.
a**(50/4941)
Simplify (o/(o**(-3/11)/o))/(o**(4/7)*o)*((o*o*o*o/(o/(o/(((o/o**15)/o*o)/o))*o)*o*o)/o)/((o/(((o**(3/11)/o)/o)/o))/o) assuming o is positive.
o**(1307/77)
Simplify (n/(n/(n*n**(-13)*n*n)))/n**(-2/21)*(n**(-2/3))**(-27) assuming n is positive.
n**(170/21)
Simplify (k/(k*k**(-2/29)))/(k*k*k*k**6)*(k/(k*k**(-2)*k))**(9/4) assuming k is positive.
k**(-775/116)
Simplify ((k*k**(-5)*k*k*k**(2/7))**(-1/4))**(-49) assuming k is positive.
k**(-21)
Simplify (j*j/(j**(9/5)/j))/((j*j**(3/13)/j)/j)*(j/j**(-2/7))/(j*j**(-16)*j) assuming j is positive.
j**(7851/455)
Simplify ((o*o/(o*o/(o*o**(2/35)/o))*o)/o*o**(1/3))/((((o**(3/5)*o)/o)/o)/(o/o**(1/12))) assuming o is positive.
o**(239/140)
Simplify ((q**6*q**(-4/13))/(q**2)**(-5/6))**28 assuming q is positive.
q**(8036/39)
Simplify (l*l*l**2*l*l*l**(-4)*l*((l*(l**(-1/2)*l)/l*l)/l)**(4/7))**45 assuming l is positive.
l**(1035/7)
Simplify (((y*y/y**0)/(y/(y*y**5)*y*y))/(y**(-2/3))**33)**(-8/3) assuming y is positive.
y**(-72)
Simplify (x/(x**(-1/7)*x*x)*x)/(x*x/(((x*x**7*x)/x)/x))*(x/(x**(-1)*x)*x)/(x**(1/14)/x) assuming x is positive.
x**(113/14)
Simplify (y*y/y**4*y/y**6*y*y**6/y*y**(3/4))**11 assuming y is positive.
y**(-11/4)
Simplify x**3/(x*x/x**(1/4))*(x*x**(-32))/(x**(2/13)*x) assuming x is positive.
x**(-1607/52)
Simplify ((u*u/(u/(u**1*u))*u)**(-48)/(u*u**2*u/u**(-2/5)))**42 assuming u is positive.
u**(-41244/5)
Simplify (m**(-8)/m)/m**10*(m**1)**(-3/7) assuming m is positive.
m**(-136/7)
Simplify (u/u**(-17/2)*u*u**8*u*u)/((u*u*(u*u*u/(u**(-1/8)/u)*u)/u)/(u**(1/5)*u)) assuming u is positive.
u**(623/40)
Simplify (((i*i**2*i*i)**(-23/3))**(-7))**35 assuming i is positive.
i**(28175/3)
Simplify ((t**(-13/2))**(-30/11))**(-2/37) assuming t is positive.
t**(-390/407)
Simplify (q*q*q**7)**(1/10)*(q**(-4))**(-24) assuming q is positive.
q**(969/10)
Simplify x**21/x*x*x**(1/14)*x*x/(x/(x**12*x))*x**(3/20) assuming x is positive.
x**(4931/140)
Simplify (y*y*y**(2/21)/y*y)**(-24)/(y/y**(-2/41))**(-49) assuming y is positive.
y**(317/287)
Simplify (t**5)**(-26)*t/(t*t**25/t*t)*t*t**11 assuming t is positive.
t**(-143)
Simplify y**10*y**2/y*y**(-2/63)/y*y/(y**(-11)*y)*y*y assuming y is positive.
y**(1447/63)
Simplify u**(-1)/u**(-12)*u*u**4*u*(u/(u**(-29)*u))/u assuming u is positive.
u**45
Simplify (((v/v**(-3/8))/(v/(v*v**(-5))))/(v**12*v*(v*v*v/v**(-2/7))/v))**(-34) assuming v is positive.
v**(18003/28)
Simplify c**(-18)*c**(-10)*(c**(-1))**(5/6) assuming c is positive.
c**(-173/6)
Simplify (q**(-3/5)*(q*(q*q/q**(-8))/q*q)/q)/((q**(-1/3)/q*q)/q)**(2/167) assuming q is positive.
q**(23587/2505)
Simplify ((l**2/l*l**(-2/7)*l)**(-9/13))**(2/27) assuming l is positive.
l**(-8/91)
Simplify (v/(v/(v*v**(-2/7))))**50/(v**(-12)/((v*v**7)/v)) assuming v is positive.
v**(383/7)
Simplify (v**(32/3)/v**(2/53))**(-8/7) assuming v is positive.
v**(-13520/1113)
Simplify (w**34/w)**12*(w**(4/15)*w*w)/(w*w**(-22)*w) assuming w is positive.
w**(6274/15)
Simplify (s**(-7/5)/s*((s/(s/s**3))/s)/s)/(s*s**(3/7)*s**(3/2)) assuming s is positive.
s**(-303/70)
Simplify ((s**(-2/13)*(s/(s/((s*s*s**6)/s))*s)/s)**(10/7))**46 assuming s is positive.
s**(40940/91)
Simplify (c**5/(c**(-3)/c)*(c*c*c*c**(-4)*c)/c*c*c**(-4/5))**(2/5) assuming c is positive.
c**(82/25)
Simplify ((o**(-5)/(o**(3/11)*o))**44)**4 assuming o is positive.
o**(-1104)
Simplify (((h/(h/(h*h**8*h)))/h)/h**(-12/11))/((h/((h*(h*h/(h**(3/4)/h)*h)/h)/h))/h*h/(h*h**8)) assuming h is positive.
h**(895/44)
Simplify ((k/(k*k/k**35*k*k*k))/k)/(k/(k*k*k/(k/k**22)))*(k/(k*k**13/k*k))/k**(-30) assuming k is positive.
k**70
Simplify (((j/j**(-3/5))/j)/j)/j**(-8)*(j/(j*j/j | {
"pile_set_name": "DM Mathematics"
} |
1*u**2 + 34*u - 57. What is d(-9)?
-120
Let r(h) = -3*h**3 + 211*h**2 - 673*h + 217. Determine r(67).
16
Let p(u) = -u**2 - 7*u + 49. Calculate p(-13).
-29
Let w(o) = -8*o**3 + o**2 - 12*o - 15. Give w(-1).
6
Let q(a) = -a**2 - 67*a - 463. Give q(-40).
617
Let m(l) = 32*l + 736. What is m(-23)?
0
Let m(u) = 78*u - 782. Give m(10).
-2
Let r(c) = c**3 + 14*c**2 - 51*c - 2. Give r(3).
-2
Let j(c) = 156*c + 157. What is j(-3)?
-311
Let x(a) = 2*a**3 + 4*a**2 - 2*a - 23. Calculate x(-3).
-35
Let g(m) = m**3 + 2*m**2 + m - 116. Determine g(4).
-16
Let t(o) = o**2 + 1312*o + 18185. What is t(-14)?
13
Let b(z) = -z**2 - 47*z + 204. Give b(-50).
54
Let x(c) = 2*c**2 - c - 7. Determine x(7).
84
Let m(f) = -228*f**2 + 6*f + 11. Calculate m(-1).
-223
Let t(w) = w**2 + 45*w + 290. Determine t(-8).
-6
Let r(j) = 3772*j - 18929. Give r(5).
-69
Let v(d) = -3*d**3 + 68*d**2 + 222*d - 13. Give v(-3).
14
Let r(l) = 2*l**2 + 16*l - 154. Calculate r(-12).
-58
Let a(h) = h**3 - 12*h**2 + 18*h + 58. Give a(10).
38
Let h(u) = u**2 + 279*u + 833. What is h(-3)?
5
Let f(b) = -2*b**3 + 57*b**2 - 30*b + 56. What is f(28)?
0
Let t(b) = -2*b**2 - 17*b - 75. Determine t(-7).
-54
Let k(y) = 3*y**2 + 4713*y + 14134. Calculate k(-3).
22
Let z(s) = -3*s**2 - 770*s - 2288. Calculate z(-3).
-5
Let q(r) = 3*r**2 - 255*r - 3167. Determine q(-11).
1
Let r(y) = -2*y**2 + 738*y - 22788. Determine r(34).
-8
Let k(d) = -d**3 + 17*d**2 + 170*d - 52. Determine k(24).
-4
Let u(z) = 94*z + 3933. Calculate u(-42).
-15
Let x(j) = -j**3 + 16*j**2 - 164*j + 1391. Determine x(12).
-1
Let c(r) = r**3 - 31*r**2 + 131*r - 18. Calculate c(26).
8
Let f(y) = -2*y**3 - 84*y**2 - 152*y + 288. Calculate f(-40).
-32
Let w(c) = 179*c + 353. What is w(-2)?
-5
Let z(b) = -b**3 - 15*b**2 - 36*b + 3. What is z(-11)?
-85
Let c(z) = 55*z**2 - 655*z - 63. Give c(12).
-3
Let j(q) = -3*q**3 + 66*q**2 + 23*q - 514. What is j(22)?
-8
Let s(n) = 5*n**2 + 394*n - 488. Calculate s(-80).
-8
Let d(h) = -h**3 - 4*h**2 + 5*h + 16. Calculate d(-4).
-4
Let m(z) = 184*z - 10697. Give m(58).
-25
Let i(f) = 97*f + 378. What is i(-5)?
-107
Let j(v) = 17*v - 1233. Give j(76).
59
Let k(o) = -o**3 + 29*o - 42. Determine k(0).
-42
Let g(q) = -8*q - 227. Give g(26).
-435
Let d(x) = x**3 + 121*x**2 + 242*x + 465. Calculate d(-119).
-11
Let n(i) = 2508*i - 22571. What is n(9)?
1
Let k(r) = r**2 - 213*r + 424. Calculate k(2).
2
Let z(u) = -639*u + 700. Calculate z(1).
61
Let z(o) = o**3 - 17*o**2 + 5*o - 22. What is z(17)?
63
Let b(c) = c**2 - 27*c + 198. Calculate b(14).
16
Let x(j) = -314*j + 28. What is x(0)?
28
Let h(c) = -50*c - 2958. Determine h(-58).
-58
Let y(w) = 9*w**2 + 431*w - 48. What is y(-48)?
0
Let y(m) = m**3 - 31*m**2 + 54*m + 69. Give y(29).
-47
Let w(s) = s**3 - 13*s**2 + 24*s + 10. Calculate w(3).
-8
Let s(y) = 14*y + 17. Calculate s(-2).
-11
Let w(l) = -7*l - 98. Give w(-65).
357
Let c(a) = -83*a - 1504. Give c(-18).
-10
Let m(z) = -z**3 + 46*z**2 + 24*z - 1078. Calculate m(46).
26
Let c(n) = -n**2 - 43*n - 414. Calculate c(-41).
-332
Let n(m) = 2*m**3 - 143*m**2 + 80*m - 645. Determine n(71).
-6
Let g(h) = -190*h**2 - 1712*h - 13. Give g(-9).
5
Let n(l) = 9*l**3 - 62*l**2 + 29*l - 266. Give n(7).
-14
Let c(q) = -q**3 - 11*q**2 - 13*q + 29. Give c(-10).
59
Let b(q) = -73*q - 2051. Give b(-28).
-7
Let c(h) = -84*h**2 - 223*h - 104. Calculate c(-2).
6
Let m(z) = z**3 + 22*z**2 - 104*z + 30. What is m(-26)?
30
Let b(k) = k**3 - 27*k**2 - 191*k - 95. Give b(33).
136
Let y(g) = 8*g**2 + 51*g + 69. Determine y(-4).
-7
Let z(t) = 5*t**2 - 29*t - 127. Calculate z(-6).
227
Let b(d) = 2831*d - 53791. Determine b(19).
-2
Let h(z) = 102*z**2 + 50*z - 8. Calculate h(2).
500
Let m(j) = -j**2 - 8*j + 92. Determine m(-16).
-36
Let d(p) = -11*p**2 - 20*p + 31. Determine d(1).
0
Let y(q) = -8*q**3 + 8*q**2 - 21*q + 14. Calculate y(1).
-7
Let j(z) = -2*z**3 + 33*z**2 - 16*z + 118. Calculate j(16).
118
Let x(z) = -348*z + 4399. What is x(13)?
-125
Let b(a) = a**3 - 14*a**2 - 30*a - 29. Calculate b(16).
3
Let u(l) = 171*l - 1018. Give u(6).
8
Let l(g) = -4*g**2 + g + 81. Determine l(8).
-167
Let u(i) = -19*i - 117. Give u(-6).
-3
Let g(b) = 26*b**2 - 3459*b + 145. Determine g(133).
12
Let m(l) = l**3 + 17*l**2 + 35*l - 139. Calculate m(-14).
-41
Let l(n) = -3*n**2 - 109*n + 449. What is l(4)?
-35
Let j(w) = 4*w**2 + 45*w - 267. Determine j(7).
244
Let o(d) = d**3 + 8*d**2 - 10*d - 8. Give o(-7).
111
Let d(a) = -45*a + 17. Determine d(3).
-118
Let m(f) = -5*f**2 + 1070*f - 2141. Give m(2).
-21
Let z(x) = -x**2 - 24*x - 43. What is z(-22)?
1
Let w(r) = -r**3 - 36*r**2 - 162*r - 228. Give w(-31).
-11
Let y(x) = -x**3 + 18*x**2 - 58*x + 11. Determine y(14).
-17
Let r(i) = -i**3 - 4*i**2 + 43*i - 101. Determine r(-10).
69
Let v(s) = 65*s + 6364. Determine v(-98).
-6
Let m(b) = 24*b - 164. Determine m(7).
4
Let c(p) = -8*p**2 + 92*p + 45. What is c(12)?
-3
Let a(x) = -249*x + 7500. What is a(30)?
30
Let u(w) = -815*w - 5708. What is u(-7)?
-3
Let s(m) = 2*m**3 - 305*m**2 - 158*m + 399. Determine s(153).
-366
Let x(f) = -197*f**2 - 10*f. What is x(-1)?
-187
Let r(p) = -30767*p + 16. Calculate r(0).
16
Let d(r) = -11*r**2 + 14*r + 40. What is d(-3)?
-101
Let w(d) = 2*d**2 + 5*d + 4. What is w(-1)?
1
Let p(b) = 5*b - 190. Calculate p(-43).
-405
Let a(y) = -70*y**3 - 27*y**2 + 21*y + 6. Determine a(1).
-70
Let t(z) = -6*z**2 - 15*z - 57. What is t(-6)?
-183
Let p(n) = -2*n**2 + 167*n + 10053. What is p(124)?
9
Let u(m) = -19*m**2 - 1. Give u(1).
-20
Let j(c) = c**3 - 18*c**2 + 45*c - 12. What is j(15)?
-12
Let y(r) = 52*r + 15. What is y(3)?
171
Let n(d) = 2*d**2 + 13*d - 391. What is n(13)?
116
Let w(i) = 19*i + 183. Calculate w(-6).
69
Let r(m) = -m**3 + 12*m**2 - 40. What is r(0)?
-40
Let t(v) = -23*v - 3776. Give t(-164).
-4
Let n(r) = r**3 + 6*r**2 + 14*r - 15. What is n(-2)?
-27
Let x(j) = -j**3 + 107*j**2 - 702*j + 180. Give x(100).
-20
Let o(c) = -c**3 - 21*c**2 + 24*c + 447. Determine o(-21).
-57
Let s(o) = -o**3 - 18*o**2 - 7*o - 138. Calculate s(-18).
-12
Let w(u) = 10*u**2 - 202*u + 9. Calculate w(19).
-219
Let c(r) = -r**2 + 4*r + 1765. What is c(-42)?
-167
Let o(r) = 7*r**2 + 31*r - 5. Calculate o(-3).
-35
Let l(a) = 75*a**2 - 10883*a + 1166. Calculate l(145).
6
Let g(c) = -2*c**2 - 14*c - 3. Give g(0).
-3
Let x(a) = 498*a - 20933. Give x(42).
-17
Let k(y) = -172*y + 6026. Calculate k(35).
6
Let o(c) = -480*c + 60475. What is o(126)?
-5
Let f(a) = a**3 - 42*a**2 + 275*a - 57. Calculate f(34).
45
Let l(b) = 9*b - 329. Determine l(34).
-23
Let r(a) = 8*a - 93. Determine r(-16).
-221
Let z(g) = -19*g**3 + 117*g**2 - 64*g + 283. Give z(6).
7
Let b(o) = -92*o**2 + 2391*o + 32. Determine b(26).
6
Let f(o) = -o**2 + 525*o + 1581. Determine f(-3).
-3
Let k(x) = 199*x - 1059. What is k(6)?
135
Let q(h) = -h**2 - 148*h + 1244. Calculate q(8).
-4
Let i(a) = 5*a**3 - 3*a - 3. Calculate i(-2).
-37
Let t(a) = 21*a**2 - 185*a - 32. Give t(9).
4
Let j(s) = 88*s**2 - 55*s - 51. Calculate j(-1).
92
Let j(w) = -386*w - 4636. Determine j(-12).
-4
Let i(n) = n**3 + 21*n**2 + 31*n - 73. Determine i(-3).
-4
Let w(u) = -u**3 - 55*u**2 - 376*u - 5. What is w(-47)?
-5
Let k(a) = a**2 + 36*a - 678. Calculate k(14).
22
Let i(u) = u**2 + 21*u + 53. Give i(-14).
-45
Let j(p) = -p**2 + 362*p - 13683. Calculate j(43).
34
Let q(t) = -13*t + 80. Determine q(14).
-102
Let p(m) = -3*m - 114. Calculate p(-27).
-33
Let y(j) = -j**3 + 3*j**2 + 6*j + 14. Give y(4).
22
Let h(k) = -495*k - 1188. Calculate h(-4).
792
Let w(i) = -461*i**2 - 1844*i - 6. Give w(-4).
-6
Let s(u) = -62*u**2 - 401*u + 754. Give s(-8).
-6
Let q(u) = 2*u**3 + 48*u**2 - 512*u + 5. Determine q(-32).
5
Let l(w) = -68*w - 1489. Determine l(-22).
7
Let m(g) = 10*g**2 + 47*g - 9. Determine m(-5).
6
Let r(t) = t**3 + 35*t**2 - 31*t + 189. Give r(-36).
9
Let d(q) = -49*q + 733. Give d(14).
47
Let q(u) = -u**3 - 7*u**2 - 13*u - 194. What is q(-7)?
-103
Let r(o) = -5*o**2 + 95*o - 297. Determine r(4).
3
Let b(i) = -2412*i - 31353. Determine b(-13).
3
Let d(v) = 258*v - 1937. Give d(7).
-131
Let h(q) = 84*q - 1038. Determine h(12).
-30
Let o(i) = 2*i**2 + 33*i - 96. What is o(-20)?
44
Let z(d) = 217*d**2 + 3*d - 123. What is z(0)?
-123
Let n(t) = -t**2 - 160*t + 4016. What is n(22)?
12
Let j(m) = 9*m**3 + | {
"pile_set_name": "DM Mathematics"
} |
st integer?
4
What is 204 to the power of 1/4, to the nearest integer?
4
What is the eighth root of 46 to the nearest integer?
2
What is 634 to the power of 1/4, to the nearest integer?
5
What is 62851 to the power of 1/3, to the nearest integer?
40
What is the seventh root of 16397 to the nearest integer?
4
What is the fourth root of 28271 to the nearest integer?
13
What is 944 to the power of 1/5, to the nearest integer?
4
What is 49847 to the power of 1/3, to the nearest integer?
37
What is the third root of 5449 to the nearest integer?
18
What is 2231 to the power of 1/3, to the nearest integer?
13
What is the seventh root of 48 to the nearest integer?
2
What is the cube root of 1782 to the nearest integer?
12
What is the fourth root of 3867 to the nearest integer?
8
What is the square root of 5699 to the nearest integer?
75
What is 3928 to the power of 1/2, to the nearest integer?
63
What is 58033 to the power of 1/9, to the nearest integer?
3
What is the cube root of 2029 to the nearest integer?
13
What is the seventh root of 4623 to the nearest integer?
3
What is the square root of 36530 to the nearest integer?
191
What is the fourth root of 1814 to the nearest integer?
7
What is the square root of 30600 to the nearest integer?
175
What is the square root of 8391 to the nearest integer?
92
What is 43647 to the power of 1/2, to the nearest integer?
209
What is 1825 to the power of 1/2, to the nearest integer?
43
What is 68 to the power of 1/3, to the nearest integer?
4
What is the square root of 10964 to the nearest integer?
105
What is the seventh root of 2141 to the nearest integer?
3
What is the square root of 59844 to the nearest integer?
245
What is the square root of 1987 to the nearest integer?
45
What is 3868 to the power of 1/2, to the nearest integer?
62
What is the fifth root of 3365 to the nearest integer?
5
What is the third root of 6686 to the nearest integer?
19
What is 19350 to the power of 1/6, to the nearest integer?
5
What is the cube root of 3052 to the nearest integer?
15
What is the seventh root of 55838 to the nearest integer?
5
What is the third root of 2804 to the nearest integer?
14
What is the eighth root of 1043 to the nearest integer?
2
What is the cube root of 68727 to the nearest integer?
41
What is the ninth root of 2174 to the nearest integer?
2
What is the square root of 39572 to the nearest integer?
199
What is the cube root of 831 to the nearest integer?
9
What is the square root of 9728 to the nearest integer?
99
What is the eighth root of 84 to the nearest integer?
2
What is the square root of 3914 to the nearest integer?
63
What is 40496 to the power of 1/3, to the nearest integer?
34
What is 10464 to the power of 1/2, to the nearest integer?
102
What is 164 to the power of 1/2, to the nearest integer?
13
What is the tenth root of 13590 to the nearest integer?
3
What is 50455 to the power of 1/2, to the nearest integer?
225
What is 8133 to the power of 1/2, to the nearest integer?
90
What is the square root of 26382 to the nearest integer?
162
What is the third root of 303 to the nearest integer?
7
What is the seventh root of 7534 to the nearest integer?
4
What is 685 to the power of 1/3, to the nearest integer?
9
What is 740 to the power of 1/2, to the nearest integer?
27
What is the square root of 157380 to the nearest integer?
397
What is the square root of 3585 to the nearest integer?
60
What is 14548 to the power of 1/10, to the nearest integer?
3
What is the square root of 4656 to the nearest integer?
68
What is the eighth root of 16188 to the nearest integer?
3
What is the ninth root of 981 to the nearest integer?
2
What is the cube root of 11517 to the nearest integer?
23
What is 1325 to the power of 1/3, to the nearest integer?
11
What is 135806 to the power of 1/8, to the nearest integer?
4
What is 10111 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 4551 to the nearest integer?
8
What is 112979 to the power of 1/3, to the nearest integer?
48
What is the cube root of 930 to the nearest integer?
10
What is 98453 to the power of 1/3, to the nearest integer?
46
What is the square root of 1403 to the nearest integer?
37
What is the square root of 98577 to the nearest integer?
314
What is the sixth root of 32635 to the nearest integer?
6
What is 6672 to the power of 1/9, to the nearest integer?
3
What is 1909 to the power of 1/6, to the nearest integer?
4
What is the square root of 24676 to the nearest integer?
157
What is 23144 to the power of 1/3, to the nearest integer?
28
What is the square root of 11177 to the nearest integer?
106
What is 115784 to the power of 1/6, to the nearest integer?
7
What is the square root of 56876 to the nearest integer?
238
What is the cube root of 8265 to the nearest integer?
20
What is 6989 to the power of 1/2, to the nearest integer?
84
What is 456 to the power of 1/2, to the nearest integer?
21
What is the fourth root of 1806 to the nearest integer?
7
What is the third root of 36194 to the nearest integer?
33
What is 149583 to the power of 1/3, to the nearest integer?
53
What is the third root of 2891 to the nearest integer?
14
What is 121 to the power of 1/6, to the nearest integer?
2
What is 12521 to the power of 1/3, to the nearest integer?
23
What is the cube root of 79293 to the nearest integer?
43
What is 47509 to the power of 1/3, to the nearest integer?
36
What is 2916 to the power of 1/4, to the nearest integer?
7
What is 9947 to the power of 1/3, to the nearest integer?
22
What is 36785 to the power of 1/2, to the nearest integer?
192
What is the cube root of 2958 to the nearest integer?
14
What is 58050 to the power of 1/6, to the nearest integer?
6
What is the square root of 95459 to the nearest integer?
309
What is 10364 to the power of 1/3, to the nearest integer?
22
What is 34512 to the power of 1/5, to the nearest integer?
8
What is 5421 to the power of 1/10, to the nearest integer?
2
What is 5624 to the power of 1/9, to the nearest integer?
3
What is the square root of 28700 to the nearest integer?
169
What is 359 to the power of 1/9, to the nearest integer?
2
What is the cube root of 90712 to the nearest integer?
45
What is the cube root of 90516 to the nearest integer?
45
What is the eighth root of 9133 to the nearest integer?
3
What is the tenth root of 1466 to the nearest integer?
2
What is the eighth root of 16655 to the nearest integer?
3
What is 90734 to the power of 1/8, to the nearest integer?
4
What is the fifth root of 2888 to the nearest integer?
5
What is the cube root of 3717 to the nearest integer?
15
What is 3152 to the power of 1/3, to the nearest integer?
15
What is the fifth root of 70507 to the nearest integer?
9
What is 2067 to the power of 1/3, to the nearest integer?
13
What is the square root of 1556 to the nearest integer?
39
What is the fifth root of 533 to the nearest integer?
4
What is the seventh root of 6743 to the nearest integer?
4
What is 6581 to the power of 1/10, to the nearest integer?
2
What is the cube root of 1192 to the nearest integer?
11
What is 12245 to the power of 1/3, to the nearest integer?
23
What is the square root of 17489 to the nearest integer?
132
What is the seventh root of 713 to the nearest integer?
3
What is the seventh root of 7508 to the nearest integer?
4
What is the fourth root of 1435 to the nearest integer?
6
What is 2136 to the power of 1/4, to the nearest integer?
7
What is 72572 to the power of 1/2, to the nearest integer?
269
What is the third root of 6269 to the nearest integer?
18
What is 760 to the power of 1/2, to the nearest integer?
28
What is the tenth root of 27932 to the nearest integer?
3
What is 281 to the power of 1/2, to the nearest integer?
17
What is the fourth root of 753 to the nearest integer?
5
What is the square root of 38999 to the nearest integer?
197
What is 3275 to the power of 1/2, to the nearest integer?
57
What is the square root of 33855 to the nearest integer?
184
What is 1927 to the power of 1/2, to the nearest integer?
44
What is the third root of 1268 to the nearest integer?
11
What is 5639 to the power of 1/9, to the nearest integer?
3
What is the cube root of 72553 to the nearest integer?
42
What is 1701 to th | {
"pile_set_name": "DM Mathematics"
} |
u**2 - 1032243*u + 1027179.
3*(u - 183)*(u - 1)*(u + 1871)
Factor 5*c**2/3 + 82249570*c/3 + 338249588259245/3.
5*(c + 8224957)**2/3
Let 737555*h**5 + 4425320*h**4 - 8113165*h**3 - 44253190*h**2 + 73756100*h - 1000 = 0. What is h?
-5, 2/147511, 2
Determine v, given that -791*v**4/3 + 10954*v**3/3 - 24424*v**2/3 - 3946*v/3 - 11 = 0.
-1/7, -1/113, 3, 11
Factor 2*s**2/9 - 19885612*s/3 + 59656834/9.
2*(s - 29828417)*(s - 1)/9
Suppose -3*g**5 - 18*g**4 + 1173*g**3 + 1668*g**2 - 95220*g + 92400 = 0. What is g?
-20, -11, 1, 10, 14
Factor a**3/2 + 151*a**2 + 5136*a + 31680.
(a + 8)*(a + 30)*(a + 264)/2
Factor -3*n**2 - 262755*n + 2102232.
-3*(n - 8)*(n + 87593)
Determine u so that -25*u**2/4 + 6942055*u/4 + 1388415 = 0.
-4/5, 277683
Factor o**3/5 + 17597*o**2 - 703929*o/5 + 263979.
(o - 5)*(o - 3)*(o + 87993)/5
Determine m, given that 3*m**4 + 25437*m**3 + 53601765*m**2 + 107127231*m + 53550900 = 0.
-4577, -3900, -1
Determine a so that -a**4/5 + 14734*a**3/5 - 54901824*a**2/5 + 4629529696*a/5 - 12015578624 = 0.
16, 70, 7324
Determine b, given that -1355*b**5 - 62255*b**4 - 50750*b**3 + 303810*b**2 - 199575*b + 10125 = 0.
-45, -3, 15/271, 1
Factor 312*o**2 - 22626243*o/8 + 27195/8.
3*(o - 9065)*(832*o - 1)/8
Let a**2/4 - 81483603*a/2 + 6639577557861609/4 = 0. Calculate a.
81483603
Factor i**2/8 + 6300526*i + 79393255753352.
(i + 25202104)**2/8
Factor d**3 - 2142068*d**2 - 10710365*d.
d*(d - 2142073)*(d + 5)
Let -4*l**3 - 4442612*l**2 + 39983800*l - 35541184 = 0. Calculate l.
-1110662, 1, 8
Factor o**3/7 - 28989*o**2/7 + 2891400*o/7 - 10317500.
(o - 28889)*(o - 50)**2/7
Determine p, given that -12*p**2/5 - 400396*p/5 + 533968 = 0.
-33373, 20/3
Solve 5*z**5 - 12790*z**4 + 89375*z**3 - 229690*z**2 + 255140*z - 102040 = 0 for z.
1, 2, 2551
Suppose -460*i**3 + 605208*i**2 + 200512*i - 631680 = 0. What is i?
-6/5, 20/23, 1316
Factor -v**2/3 + 14500527*v - 43501580/3.
-(v - 43501580)*(v - 1)/3
Factor 180*g**2 + 201*g - 318.
3*(g + 2)*(60*g - 53)
Let 27*v**4 - 30681*v**3 - 2164209*v**2 - 1432575*v - 238194 = 0. Calculate v.
-66, -1/3, 1203
Factor 3*o**2/4 + 512613*o/4 - 512625.
3*(o - 4)*(o + 170875)/4
Factor 305*i**2/6 + 9327515*i/6 + 25485.
5*(i + 30582)*(61*i + 1)/6
Find r such that -3*r**5/2 + 7239*r**4/2 - 4230681*r**3/2 - 164717175*r**2/2 - 567236250*r = 0.
-28, -9, 0, 1225
Suppose -3*b**5 + 10212*b**4 + 133263*b**3 = 0. Calculate b.
-13, 0, 3417
Factor -q**3 - 936*q**2 - 121325*q + 761862.
-(q - 6)*(q + 163)*(q + 779)
Let 286*o**5/15 + 512986*o**4/5 + 24444368*o**3/5 + 175288312*o**2/3 - 8875648*o/5 - 8191488/5 = 0. What is o?
-5333, -24, -2/13, 2/11
Find p such that 2*p**3/9 + 4409428*p**2/9 - 194017736*p/9 + 2134205744/9 = 0.
-2204758, 22
Factor f**2/3 + 8720*f/3 - 228748.
(f - 78)*(f + 8798)/3
Factor -x**2/2 + 4577769*x/2 - 2288884.
-(x - 4577768)*(x - 1)/2
What is o in 4*o**3 - 22856*o**2 + 205436*o - 319480 = 0?
2, 7, 5705
Find l such that 9*l**5/4 - 106275*l**4/2 - 549300*l**3 - 1311285*l**2/2 - 637929*l/4 = 0.
-9, -1, -1/3, 0, 23627
What is r in -2*r**2/5 - 158654*r/5 - 8403044/5 = 0?
-79274, -53
Factor 3*p**2/7 + 7668*p/7 + 650727.
3*(p + 939)*(p + 1617)/7
Determine g, given that -g**2/4 + 10533*g/2 - 4895285/4 = 0.
235, 20831
Suppose -160*r**3 - 131336*r**2 - 98432*r - 16402 = 0. What is r?
-8201/10, -1/2, -1/4
Suppose l**4 + 8770*l**3 + 435999*l**2 - 8770*l - 436000 = 0. Calculate l.
-8720, -50, -1, 1
Factor -2*q**2 + 5461950*q - 27309700.
-2*(q - 2730970)*(q - 5)
Solve -3*i**2 + 1069938*i - 43862415 = 0 for i.
41, 356605
Suppose -2*i**5/13 - 316*i**4/13 + 3124*i**3 + 1723016*i**2/13 - 40610*i/13 - 1722700/13 = 0. What is i?
-230, -35, -1, 1, 107
Let 2*j**4/3 - 2262*j**3 + 5164892*j**2/3 + 341653368*j + 4994828720/3 = 0. Calculate j.
-158, -5, 1778
Factor d**3/7 - 5320535*d**2/7 + 7077015190747*d/7 + 21231093457083/7.
(d - 2660269)**2*(d + 3)/7
Solve -2*p**3 + 264098*p**2 - 8718601248*p + 8718337152 = 0 for p.
1, 66024
Let 29*c**3/3 + 22092*c**2 + 1856659*c/3 - 640988 = 0. Calculate c.
-2257, -852/29, 1
What is i in -2*i**2 - 7926*i - 2035224 = 0?
-3687, -276
Let 3*a**2 - 60488880*a - 60488883 = 0. Calculate a.
-1, 20162961
Let -2*k**4/13 + 96366*k**3/13 + 3471120*k**2/13 + 31245912*k/13 = 0. Calculate k.
-18, 0, 48219
What is m in -16*m**5 - 350*m**4 - 432*m**3 + 18136*m**2 - 14272*m - 99456 = 0?
-14, -111/8, -2, 4
Suppose -2*l**3/7 - 22234*l**2/7 - 155420*l/7 + 1333200/7 = 0. What is l?
-11110, -12, 5
Factor -4*l**3 - 252*l**2 + 1300*l + 50700.
-4*(l - 15)*(l + 13)*(l + 65)
Factor 4*p**3 + 172988*p**2 - 6579476*p - 6752460.
4*(p - 39)*(p + 1)*(p + 43285)
What is a in 28*a**5 - 2696*a**4 + 62228*a**3 - 203368*a**2 - 1132320*a + 338688 = 0?
-3, 2/7, 8, 28, 63
Determine s, given that -20*s**5 + 20422*s**4 - 63108*s**3 - 8182*s**2 + 38672*s + 12216 = 0.
-1/2, -2/5, 1, 3, 1018
Solve -5*m**4 + 8640*m**3 + 453905*m**2 - 462540*m = 0.
-52, 0, 1, 1779
Factor -625*s**3/4 - 397825*s**2/2 - 71307736*s - 4920411240.
-(s + 90)*(25*s + 14788)**2/4
Suppose -g**5/5 - 80*g**4 + 9312*g**3/5 + 11698*g**2/5 - 49727*g/5 + 29118/5 = 0. What is g?
-422, -3, 1, 23
Factor 2*t**2/3 + 636784432*t/3 + 50686801604695328/3.
2*(t + 159196108)**2/3
Find p such that -2*p**4/3 + 5160674*p**3/3 - 5160670*p**2 + 15482006*p/3 - 5160668/3 = 0.
1, 2580334
Suppose -5*g**2 - 12430*g - 5645120 = 0. What is g?
-1888, -598
Factor o**2/3 - 2366*o/3 + 791089/3.
(o - 1963)*(o - 403)/3
Let -2*z**2/11 + 21056*z/11 + 167910 = 0. Calculate z.
-87, 10615
Solve 3*p**3 + 10971036*p**2 + 32913087*p + 21942054 = 0 for p.
-3657009, -2, -1
Factor 2*j**3 + 1775688*j**2 + 394026921288*j - 47308803917760.
2*(j - 120)*(j + 443982)**2
Find p, given that p**3/2 + 2027*p**2 - 130617*p/2 + 275805 = 0.
-4086, 5, 27
Suppose 7*u**3/4 - 729668*u**2 + 14593213*u/4 - 2918637 = 0. What is u?
1, 4, 2918637/7
Let g**3/4 - 195*g**2/2 - 64009*g/4 - 94245/2 = 0. What is g?
-122, -3, 515
Factor l**3/2 - 11831*l**2/2 - 308113*l/2 - 2003833/2.
(l - 11857)*(l + 13)**2/2
Determine h so that 3*h**3/2 + 1927305*h**2/2 - 6745653*h - 7709304 = 0.
-642442, -1, 8
Find f such that -5*f**4 + 533390*f**3 + 163033560*f**2 + 12358258290*f - 12521825235 = 0.
-153, 1, 106983
Let 3*w**3/7 + 62001*w**2/7 + 185814*w = 0. Calculate w.
-20646, -21, 0
Solve -4*r**4 - 1904*r**3 + 872428*r**2 + 410075864*r - 2491446144 = 0.
-473, 6, 464
Factor 5*j**3 + 1236220*j**2 - 3708695*j + 2472470.
5*(j - 2)*(j - 1)*(j + 247247)
Solve 5*l**3 - 76575*l**2 - 1456640*l - 1380060 = 0 for l.
-18, -1, 15334
Factor i**4 + 228330*i**3 + 13032277173*i**2 - 156411986580*i + 469260620676.
(i - 6)**2*(i + 114171)**2
Suppose m**4/7 + 21295201*m**3/7 = 0. What is m?
-21295201, 0
Factor 3*t**2/8 - 146193*t/4 - 16675749/8.
3*(t - 97519)*(t + 57)/8
Suppose -3*d**4/2 - 90255*d**3 - 1082871*d**2/2 + 2436642*d = 0. What is d?
-60164, -9, 0, 3
Suppose 44*z**2 - 6852144*z - 9966848 = 0. What is z?
-16/11, 155732
Let 5*q**2 - 8030480*q + 8030475 = 0. Calculate q.
1, 1606095
Find s, given that -2*s**3 + 333064*s**2 - 333062*s = 0.
0, 1, 166531
Factor q**2/2 + 5257*q/2 + 677960.
(q + 272)*(q + 4985)/2
Factor 2631*x**2/2 + 290722*x - 1547/2.
(x + 221)*(2631*x - 7)/2
Let -20020756495936*c**2 - 447445600*c - 2500 = 0. What is c?
-25/2237228
Factor o**5 - 1015742*o**4 + 2031481*o**3 - 1015740*o**2.
o**2*(o - 1015740)*(o - 1)**2
What is r in -7*r**5 - 1111*r**4 - 27749*r**3 - 113981*r**2 + 553068*r - 410220 = 0?
-129, -159/7, -10, 1, 2
Find g, given that -g**2 + 36115*g - 2810886 = 0.
78, 36037
Factor -2*d**2/11 + 97566*d/11 + 1854476/11.
-2*(d - 48802)*(d + 19)/11
Suppose w**4/7 - 1911*w**3 - 3*w**2/7 + 40133*w/7 - 3822 = 0. What is w?
-2, 1, 13377
Suppose -5*k**4 + 37222440*k**3 - 69275539200110*k**2 + 138550966732920*k - 69275464755245 = 0. Calculate k.
1, 3722243
Let 93479566445*u**3 + 186924949640*u**2 - 68363375*u + 6250 = 0. What is u?
-2, 25/136733
Factor 2*z**2 + 3570*z - 1904900.
2*(z - 430)*(z + 2215)
Let -3*h**5/2 - 918*h**4 - 141393*h**3/2 - 459378*h**2 - 643290*h = 0. What is h?
-523, -82, -5, -2, 0
Let -2*u**3/11 - 494*u**2/11 + 3937100*u/11 + 51261392/11 = 0. Calculate u.
-1526, -13, 1292
Factor -8*v**2 + 12854*v - 38490.
-2*(v - 3)*(4*v - 6415)
Find x, given that 34*x**3/5 + 448162*x**2/5 - 337512*x + 316440 = 0.
-13185, 30/17, 2
Find o, given that -3*o**2 + 88334 | {
"pile_set_name": "DM Mathematics"
} |
o, 4*o - a - 4 = 0 for o.
0
Solve 0 = 4*q - 16, -2*g - 311 = -3*q - 297 for g.
-1
Solve 38*a - 41*a + 2*t = 10 - 0, -3*a - 6 = -3*t for a.
-6
Solve -4*s = 2*k - 6*s + 10, 4*k - 5*s = -26 for k.
1
Solve 4*u + 87 = 8*h - 3*h, u = -3*h - 9 for h.
3
Solve 3*d = z - 94, 34*z + 5*d + 20 = 6 for z.
4
Solve 9*v - 4*x - 69 = 0, 705*v - 704*v = 5*x + 76 for v.
1
Solve -20 = 4*d, -32*y + 29 = -28*y - 5*d for y.
1
Solve -1566*m = -1570*m - 5*g + 6, 2*g = 6*m + 10 for m.
-1
Solve -37 = 67*u - 68*u - 5*k, 3*u = -k - 1 for u.
-3
Solve -32*j = 3*g - 33*j + 28, 8*g = 2*j - 14 - 58 for g.
-8
Solve -5*p + 8*v = -22, -10*p - 4*v - 8 = -14*p for p.
-2
Solve 23*v = 25*v + 10, -2*p - 5*v = 29 for p.
-2
Solve 34*d = 38*d - 28, -50 = 3*g + 78*d - 83*d for g.
-5
Solve -917*b + 30 = -912*b + n, 3*b - 18 = 2*n for b.
6
Solve -3*s + 10*y = 12*y + 25, 2*y + 31 = -5*s for s.
-3
Solve -3*a - q = -26, -178 + 173 = 5*q for a.
9
Solve g = 5*j - 14, -2*g = -117*j + 120*j + 2 for g.
-4
Solve 32 = -4*g + 4*a, 0 = 2*g - 5*a - 129 + 160 for g.
-3
Solve -4*n - 4529 = u - 4508, n - 3*u = -15 for n.
-6
Solve -3*q + 5*s - 20 = 0, q - 14 = 9037*s - 9025*s for q.
-10
Solve -16*z = -v - 68, 3*v + 42 - 14 = 4*z for z.
4
Solve 3*f - 2*u + 13 = -7*u, -4*f + 3*u + 31 = 0 for f.
4
Solve -239*k = -243*k - 5*p + 38, -4*k = p - 14 for k.
2
Solve 492*s - 4*g - 16 = 488*s, -2*g + 6 = 5*s for s.
2
Solve -856 + 790 = 2*u - 4*m, m + 6 = -4*u for u.
-5
Solve -4*q - 12 = -4*g, 2*g + 18704*q - 2 = 18708*q for g.
5
Solve -3*k + k - 12 = -2*h, 0 = k + 2*h - 3 for k.
-3
Solve 23*i - 20*i - 2*b - 23 = 0, 5*i - 30 = 5*b for i.
11
Solve 1 = -4*g - a, 3*g - 3*a + 23 = -11*g for g.
-1
Solve -3*z = -2*v - 9, -4*v = -v - 3*z + 12 for v.
-3
Solve 0 = -y - 3*l - 5578 + 5567, -4*y + 20 = -4*l for y.
1
Solve -4*i = q + 16 - 26, q + 10*i + 5 = 11*i for q.
-2
Solve -22*t + 14 = -6*d - 20*t, -5*d + 3*t = 9 for d.
-3
Solve 2*m = -f + 5*f - 24, 0 = -11*m - 5*f - 51 for m.
-6
Solve 24*g = 23*g - 4, -12*l + 7*l + 2*g = 37 for l.
-9
Solve 0*f + 5*f - 35 = 0, -95*y - 45 = -97*y - 5*f for y.
5
Solve 2*l + 43 = -5*t, 51*t + 53*l = 55*l - 349 for t.
-7
Solve 0 = -3*p + 3*b + 899 - 884, 5*p = 2*b + 19 for p.
3
Solve 0 = -5*t + 4*i - 13, 3*t + 179*i + 1 = 178*i for t.
-1
Solve 0 = -4*f - 8, -2*m = 4*f - 9*f - 12 for m.
1
Solve 0 = -w + 5*d - 9, -w + 3 = -d + 8 for w.
-4
Solve -5*m = 5*v - 45, 5*m + v = -5298 + 5303 for m.
-1
Solve 198*o + 20 = 196*o + 3*w, -o + 2*w - 12 = 0 for o.
-4
Solve -2*k + 7*k + o = -40, 3*o + o = -22 + 2 for k.
-7
Solve 2*q - 2*t = 22, -5*t + 46 = -3*q + 89 for q.
6
Solve 2*o + 14 = -5*p, -271*o = -267*o + 8 for p.
-2
Solve -2*a - 3*a + 4*a - 12 = -3*q, -2*a = 10*q - 40 for a.
0
Solve -a = -5*x + 85, 249*a - 246*a + 39 = 3*x for x.
18
Solve -5*v = 946*l - 947*l + 2, 3*l + 2*v = -11 for l.
-3
Solve 4*w - 3*y = 31, 3*w + 5*y = -74 + 61 for w.
4
Solve -3*u = 5*z - 8*u + 50, 2*u - 14 = z for z.
-6
Solve -2*k - 36 = 192*w - 193*w, 4*w = -k - 36 for w.
-4
Solve 0 = -4*o + 20, 29 = -2*v - o + 30 for v.
-2
Solve 218*j - 213*j - 3*p = -3, 5*p + 11 = 3*j for j.
-3
Solve 5*v = -3*f - 18, 5*v - 3*f - 23 + 35 = 0 for v.
-3
Solve 4*q + 63 = 5*o, 405*q = 406*q - 2*o + 27 for q.
3
Solve 3*d - 26 = -4*z, 2*d - 4*z = -33 + 17 for d.
2
Solve 3*l + 3*o = -9, 2233*o - 2228*o = l - 27 for l.
2
Solve -4*q = -4*j - 60, -85 = 5*j - 368*q + 362*q for j.
-5
Solve -5 = -5*i + 5*d, -5*i + 9*d - 14*d + 15 = 0 for i.
2
Solve -10 = 5*n + 5*t, -3 = 24*n - 25*n + 4*t for n.
-1
Solve -4*l + 8 = -3*q, 21*q = -5*l + 25*q + 11 for l.
-1
Solve d + 5*d - 7*d + 30 = 5*a + 10, -4*a = 4*d for a.
5
Solve -16*d + 8*d - 45 = -5*g, 4*g + 4*d - 36 = 0 for g.
9
Solve -51*l + 90*l - 201 = -2*d, -5*l = -5*d - 10 for l.
5
Solve 5*y - y - 17 = -5*v, 0 = 3*y - 3*v - 1 - 5 for y.
3
Solve -5*x - h = -14, 264*x = 260*x - h + 11 for x.
3
Solve -10 = -3*j + 5*j - 2*p, 2*p = 12 for j.
1
Solve -888*x = -5*y - 893*x - 35, -2*y + 4 = -4*x for y.
-4
Solve 34*z + w - 1 = 39*z, -2*z = -4*w + 4 for z.
0
Solve 5*g - 23 = -4*c + 2*g, -411*g + 409*g = 4*c - 22 for c.
5
Solve -3 = -0*y + y - 0*y + k, 4*y = 2*k for y.
-1
Solve -4*o - 3*h = h - 16, o + 203*h = 207*h - 41 for o.
-5
Solve -11*h = -3*j - 8*h + 21, -5*h - 35 = j for j.
0
Solve 3*q + 3*d - 12 = 0, 0 = -5*q + 28*d + 306 - 154 for q.
8
Solve -4*o - 40 + 46 = -w, -5*o = 2*w + 25 for o.
-1
Solve -o - 2210 + 2220 = -5*r, 4*o + 23 = -r for r.
-3
Solve 1008*q + 2*g + 40 = 1010*q, -4*q + 32 = -g for q.
4
Solve 0 = y - f - 14, -136*f = -133*f + 27 for y.
5
Solve 0 = -18*o + 20*o + 15*o - 2*t + 106, 4 = 2*t for o.
-6
Solve 2*l = -2*r - 14, 0 = -26*r + 23*r - 10*l - 35 for r.
-5
Solve -73*o - 12 = -r - 69*o, 5*r + 9 = -3*o for r.
0
Solve k + 2*b = -1, -2*k - 42*b + 34*b = -6 for k.
-5
Solve -33 = 4*r - 19*t + 14*t, -5 = -5*t for r.
-7
Solve 0 = 376*b - 380*b - 5*p - 26, -428 = 4*b + 72*p for b.
1
Solve 4*b + 10422 = -5*m + 10426, 3*m + 2*b = 4 for m.
4
Solve 0 = -10*y - 9*y + o + 39, -2*o = -y + 6*y - 8 for y.
2
Solve -v - 4*d - 16 = 0, 89574*d = 4*v + 89572*d + 64 for v.
-16
Solve -3*o + 28142 = -3*h + 28145, 3 = 3*o for h.
2
Solve -5*k - 5*y = -476 + 526, 5*k - 3*y = -18 for k.
-6
Solve t - 5*i = 3*i + 21, i - 139 = 5*t - 166 for t.
5
Solve 3*a - 15 = 0, 3*u - 5*a = -51 + 20 for u.
-2
Solve 53 = 9*k - 16*k - 5*o, -3*o = 5*k + 31 for k.
1
Solve -2*k = 5*i + 38, 60*k - 51*k = 2*i - 24 for k.
-4
Solve 0 = 4*l + 3*z - 22, 487*z + 8 = 2*l + 488*z for l.
1
Solve -j - 11 = -852*q + 855*q, -3*j + 4*q + 32 = 0 for j.
4
Solve 0 = -2*a - 5*r - 1, 10*r - 10 = 5*a + 15*r for a.
-3
Solve -42*i + 43*i = -2*g + 15, 0 = -3*g - 2*i + 22 for g.
8
Solve -a = 2*d - 10, 29*d + 28 = 33*d - 2*a for d.
6
Solve -48*z + 20 = -4*c, 21 = 2*z - 3*c + 40 for z.
1
Solve 2*s = -u - 12 + 19, -5*s + 19 = 2*u for u.
-3
Solve -172*z + 169*z - 5*o = 20, 5*o - 5 = 2*z for z.
-5
Solve -579 = -5*h + 3*s - 425, 0 = s - 2 for h.
32
Solve -t - 19*n + 3 = -17*n, -5*t = 5*n - 10 for t.
1
Solve 0 = -n + f - 10, 44*n = 48*n - 2*f + 42 for n.
-11
Solve 30*p - 29*p = 2*i - 21, -3*i + 9 = 6*p for p.
-3
Solve 5*i = -3*b + 57, 51*b - i = 47*b - 16 for b.
-1
Solve 9*a + 4*c = 10*a - 1, -29 = -5*a - 4*c for a.
5
Solve 3*j = -3*s, 0 = 49*j - 52*j - 5*s + 6 for j.
-3
Solve -4*b = -12, q + 5 = 20*b - 18*b for q.
1
Solve 5*l = -3*i - 5, -297*i + 3 = -299*i - 3*l for i.
0
Solve 2*w + 91956 - 91964 = -2*o, 5*w - 26 = -2*o for o.
-2
Solve 4*f - 26 = -2*r, -5*r + 55*f = 53*f - 29 for r.
7
Solve 41*w - 45*w = -6*x - 16, 5*x + 20 = 2*w for w.
-5
Solve -6*f = 3*v - 21, -13*f + 25 = 4*v - 8*f for v.
5
Solve -243*c + 246*c - 1 = -4*b, c = 4*b + 11 for b.
-2
Solve 3*c + 7*p - 20 = 0, 2103*c - 5 = 2099*c - 5*p for c.
-5
Solve -2*n = -446*u + 447*u + 4, -n + 4*u - 2 = 0 for n.
-2
Solve 8*s - 3*t - 36 = 0, -3*s - 5*t - 8400 = -8389 for s.
3
Solve 4*v + 855 = 3*x + 853, 0 = 10*x + 2*v - 22 for x.
2
Solve t + 4*c + 24 = 0, -14*t + 9 = -10*t - 5*c for t.
-4
Solve 0 = -2*b - 5*l - 47, 43774*l - 6 = 4*b + 43776*l for b.
4
Solve -31*y + t - 14 = -32*y, y = -5*t + 22 for y.
12
Solve 4*b - 16 = -2*q, 4*q - 2 = 6400*b - 6402*b for q.
-2
Solve -2*q - 5 = -3*z, 174*q + 17 = 171*q - 5*z for q.
-4
Solve 5*t = -70, 756*t + 53 = -3*r + 752*t for r.
1
Solve 2*a - 8 = -60*p + 56*p, p = 4*a - 7 for a.
2
Solve -20 = -2*l, 12*a = 9*a - l + 25 for a.
5
Solve -2*i - 31 + 17 = -6*h + 2*i - 40, -5*i = -10 for h.
-3
Solve -2*w - 7*b + 10*b + 11 = 0, -b + 1 = 4*w for w.
1
Solve 4*x = 4*c - x + x - 12, -3*x + 23 - 32 = 0 for c.
0
Solve -2*o = -m, 22 = 3*m - 75*o + 80*o for m.
4
Solve s + 17 = -2*g + 6, -5*g - 20 = s for g.
-3
Solve 2*f + 45 = -t + 50, 3 = 3*t - 6*f for t.
3
Solve -5*h = -5, -h - 16 = -56*g + 59*g - 41 for g.
8
Solve -3*h = a + 28, 61*a - 16 = 59*a + 3*h for a.
-4
Solve 0 = -349*r + 344*r - 2*w + 74, 0 = 3*r - 2*w - 38 for r.
14
Solve 298*g + 2 + 3 = -4*u + 297*g, -u + 4*g = -20 for u.
0
Solve 5*s = -5*j + 25, -265*s = -269*s - 2*j + 12 for s.
1
Solve 2376 - 2322 = 5*s - 2*x, -11*s + 106 = 2*x for s.
10
Solve -8*g - 47 = -3*f, -5*g + 1113*f = 1114*f + 15 for g.
-4
Solve 6*h = 5*o - 35, h - 13 + 19 = o for h.
-5
Solve -5*k - g = -12, g + 408 - 406 = 2*k for k.
2
Solve 4*i + 76*n - 71*n + 30 = 0, 0 = 2*i + 3*n + 14 for i.
-10
Solve 0 = -z + 5*y - 15, z - 3*y - 3 = -4*y for z.
0
Solve -711*n = -712*n - 5*j | {
"pile_set_name": "DM Mathematics"
} |
te -2620 divided by -2620.
1
Divide -18 by 2.
-9
Divide -71 by 6.
-71/6
7 divided by -65
-7/65
What is -4844 divided by 2?
-2422
What is 3 divided by 731?
3/731
64 divided by 4
16
5433 divided by -3
-1811
Divide -3213 by 51.
-63
-7630 divided by 5
-1526
Divide -2 by -5971.
2/5971
Calculate 1120 divided by 9.
1120/9
What is 4293 divided by -4?
-4293/4
Calculate 4 divided by 35.
4/35
What is 2150 divided by -7?
-2150/7
What is 547 divided by -5?
-547/5
Divide -470 by 14.
-235/7
Calculate -3720 divided by 31.
-120
Divide 1600 by -32.
-50
Divide -192 by 192.
-1
Calculate 13 divided by -13.
-1
What is 50 divided by 2?
25
Divide 2619 by 27.
97
Calculate -6 divided by 1154.
-3/577
What is -27 divided by 2?
-27/2
Calculate 3 divided by -1467.
-1/489
-1052 divided by 3
-1052/3
440 divided by 2
220
What is 16415 divided by 6?
16415/6
Calculate -820 divided by -4.
205
What is 123 divided by 123?
1
Calculate -6 divided by 2.
-3
Divide 828 by -276.
-3
Calculate 554 divided by -1.
-554
Calculate -24252 divided by 8084.
-3
Calculate 1359 divided by 151.
9
-2 divided by -18
1/9
Calculate 81 divided by -14.
-81/14
Divide 318 by 6.
53
Divide -135 by 27.
-5
Divide 32 by -12.
-8/3
What is 430 divided by 10?
43
Divide 700 by -175.
-4
What is -1224 divided by 6?
-204
What is 1952 divided by 32?
61
2940 divided by 294
10
Divide 9824 by 4.
2456
Calculate -53 divided by -53.
1
Divide 5 by 347.
5/347
Divide 11 by -210.
-11/210
Divide -22 by 11.
-2
-1224 divided by -5
1224/5
What is -720 divided by 144?
-5
Divide -1778 by -889.
2
-206 divided by -6
103/3
647 divided by -5
-647/5
What is 70 divided by 14?
5
Divide -856 by 107.
-8
-5 divided by 503
-5/503
-60 divided by 60
-1
Calculate -2959 divided by 2959.
-1
What is 0 divided by -61?
0
What is 7 divided by 311?
7/311
494 divided by -494
-1
What is 649 divided by 1?
649
What is 1 divided by -1349?
-1/1349
What is -874 divided by -1?
874
Divide 24 by 30.
4/5
Divide 3534 by -38.
-93
Calculate -134 divided by 1.
-134
-1227 divided by 6
-409/2
110 divided by -22
-5
51 divided by 12
17/4
Calculate 3 divided by -83.
-3/83
Calculate 10 divided by -3090.
-1/309
Divide -136 by 142.
-68/71
What is 0 divided by 44?
0
-2650 divided by -6
1325/3
Divide -2245 by -2.
2245/2
Calculate -2085 divided by 5.
-417
What is 0 divided by -39?
0
Calculate 0 divided by 30.
0
236 divided by -2
-118
What is 36 divided by 9?
4
Calculate -532 divided by 3.
-532/3
Divide 245 by -5.
-49
What is 1276 divided by 22?
58
Calculate -1080 divided by -6.
180
1 divided by 1514
1/1514
What is 16 divided by 4?
4
What is 320 divided by 64?
5
What is -9 divided by -3?
3
What is 5 divided by 443?
5/443
Divide -84650 by -5.
16930
Calculate -213 divided by -16.
213/16
-10279 divided by 2
-10279/2
Divide 312 by 78.
4
-14 divided by 19
-14/19
5 divided by 710
1/142
What is -30 divided by 29?
-30/29
Divide 0 by -603.
0
Divide -4257 by 43.
-99
Divide 66 by -3.
-22
-19716 divided by -4
4929
Divide 345 by 69.
5
Divide -192 by -12.
16
What is 44 divided by -4?
-11
Calculate 1 divided by 24.
1/24
Calculate -40 divided by 8.
-5
Calculate 8 divided by -41.
-8/41
Calculate 476 divided by -7.
-68
Divide 38 by -56.
-19/28
Calculate -3326 divided by 1663.
-2
Calculate -19 divided by 8.
-19/8
-420 divided by 21
-20
What is -16 divided by 39?
-16/39
Calculate 462 divided by -6.
-77
Divide 91 by -2.
-91/2
What is -1300 divided by -130?
10
Divide -16770 by -5590.
3
What is -8393 divided by 1199?
-7
Calculate -3708 divided by 2.
-1854
Calculate 315 divided by 35.
9
Calculate -576 divided by 48.
-12
Divide 300 by 12.
25
Divide -787 by -1.
787
15 divided by -4
-15/4
Calculate -3480 divided by -6.
580
8112 divided by 4056
2
Calculate -268 divided by 67.
-4
4913 divided by -6
-4913/6
678 divided by 226
3
Divide 26 by 2.
13
What is 124 divided by 2?
62
156 divided by 2
78
Divide -2139 by -3.
713
Calculate -2532 divided by -5.
2532/5
What is -9089 divided by 149?
-61
-2 divided by 1484
-1/742
Calculate 534 divided by -6.
-89
Calculate -418 divided by -3.
418/3
Calculate 471 divided by 2.
471/2
What is -156 divided by 4?
-39
-3395 divided by -5
679
Calculate 49 divided by 2.
49/2
Calculate -5 divided by -873.
5/873
Divide 6 by -52.
-3/26
Divide 1905 by 381.
5
5 divided by -1306
-5/1306
Divide -3 by -161.
3/161
Calculate 1600 divided by -5.
-320
Calculate 1 divided by -2834.
-1/2834
What is 185 divided by 185?
1
What is 13734 divided by 2?
6867
Divide 390 by 15.
26
Calculate 7134 divided by -6.
-1189
Calculate 25 divided by -19.
-25/19
Divide -895 by -179.
5
Calculate -204 divided by 3.
-68
Calculate -2388 divided by 6.
-398
What is 5 divided by -70?
-1/14
-1 divided by 1789
-1/1789
-3712 divided by -928
4
4512 divided by 6
752
What is -113 divided by 1?
-113
Divide 2691 by 1.
2691
Calculate 19 divided by -5.
-19/5
Divide -580 by -145.
4
Divide -3 by -4.
3/4
What is 25908 divided by 6?
4318
What is -396 divided by 3?
-132
-4 divided by -1
4
What is -4524 divided by -5?
4524/5
Divide -109365 by -5.
21873
Calculate 99 divided by 4.
99/4
Calculate -2 divided by 6.
-1/3
What is 224 divided by 4?
56
Divide -5 by -73.
5/73
Calculate 78 divided by 1.
78
What is -2550 divided by 6?
-425
What is 3 divided by -233?
-3/233
Calculate 6305 divided by -1261.
-5
What is 293 divided by -293?
-1
Calculate 2 divided by -1557.
-2/1557
Divide 15 by -9.
-5/3
Calculate 5 divided by -38.
-5/38
Calculate 1362 divided by -6.
-227
-2 divided by -33
2/33
Divide -1 by 164.
-1/164
Divide 0 by 19.
0
Calculate 232 divided by -14.
-116/7
3 divided by 95
3/95
What is 14 divided by -5?
-14/5
Calculate 9232 divided by -4.
-2308
550 divided by 5
110
Calculate 4 divided by 2377.
4/2377
Divide -76 by 19.
-4
Divide -9 by -368.
9/368
Divide -1638 by 42.
-39
115 divided by -23
-5
-14949 divided by 453
-33
Calculate 11 divided by -172.
-11/172
What is 1128 divided by -47?
-24
Calculate -10 divided by 20.
-1/2
-12 divided by -4
3
3096 divided by -387
-8
Divide 40 by 20.
2
Calculate -32886 divided by -1827.
18
What is 4380 divided by -146?
-30
Divide 1455 by -291.
-5
7 divided by 4
7/4
What is -20244 divided by 7?
-2892
What is 3 divided by -1136?
-3/1136
-708 divided by -59
12
What is 46752 divided by 6?
7792
What is 244 divided by -1?
-244
Calculate -32 divided by 35.
-32/35
What is -1974 divided by -658?
3
Calculate 3039 divided by 3.
1013
Divide -192 by -4.
48
-13 divided by 3
-13/3
Divide -1069 by 2.
-1069/2
Divide 68 by -17.
-4
-28 divided by 6
-14/3
What is -10360 divided by 5?
-2072
What is 350 divided by -2?
-175
0 divided by 258
0
-1 divided by 1961
-1/1961
What is -1 divided by -7852?
1/7852
5 divided by 634
5/634
What is -11 divided by 997?
-11/997
Calculate -5610 divided by 102.
-55
Calculate -135 divided by -1.
135
-3 divided by -414
1/138
Divide 5 by -107.
-5/107
What is -1714 divided by 1714?
-1
What is -582 divided by -97?
6
What is 207 divided by 7?
207/7
-1 divided by 555
-1/555
Calculate 0 divided by -4626.
0
Divide -8470 by -1210.
7
What is -8612 divided by -1?
8612
Calculate -2 divided by 35.
-2/35
Divide -34616 by 8654.
-4
Calculate -6 divided by 1296.
-1/216
Calculate 21110 divided by -3.
-21110/3
What is -280 divided by -56?
5
-275 divided by 55
-5
What is -6 divided by 195?
-2/65
Calculate -4 divided by 839.
-4/839
Calculate -1 divided by -3359.
1/3359
Divide 519 by 173.
3
-4 divided by -194
2/97
Calculate -229 divided by -3.
229/3
What is 0 divided by -100?
0
Divide 85 by -17.
-5
What is 650 divided by -10?
-65
What is 1 divided by -288?
-1/288
What is 1 divided by 97?
1/97
What is 2991 divided by 1?
2991
Calculate -18228 divided by -124.
147
Divide 88 by -44.
-2
Calculate -6 divided by 450.
-1/75
Calculate 3606 divided by 3.
1202
Calculate 48 divided by -24.
-2
3 divided by 13
3/13
140 divided by 70
2
-15 divided by 3
-5
What is 4 divided by 10?
2/5
What is 0 divided by -443?
0
Divide -36 by 151.
-36/151
Divide -51 by 9.
-17/3
-4 divided by -330
2/165
What is 2 divided by 6?
1/3
Divide -31 by 31.
-1
What is 9914 divided by -1?
-9914
Divide -345 by -3.
115
Calculate -260 divided by -5.
52
-1224 divided by 102
-12
Calculate -67861 divided by 4.
-67861/4
Divide -3157 by 11.
-287
Calculate 2844 divided by -6.
-474
-1224 divided by 8
-153
Divide 40 by -1.
-40
What is 5 divided by 239?
5/239
-58 divided by 15 | {
"pile_set_name": "DM Mathematics"
} |
(-242))/((-5)/(-5)).
-2/11
Calculate (20/480*-2)/(1/(-8)).
2/3
Calculate (-2)/(-2)*-2*(-20)/(-24).
-5/3
Calculate 1*35/21*36/40.
3/2
Evaluate ((-2)/1)/4*106/53.
-1
What is the value of (-7)/((-70)/25)*(-12)/(-10)?
3
Calculate ((-15)/135*3)/(2/6).
-1
What is the value of ((-5)/1)/(-5)*(-4)/(-7)?
4/7
Calculate (-3)/(-3)*(-180)/36.
-5
What is (-15)/20*(-24)/(-63)?
-2/7
Calculate (-6)/(-9*5/(-15)).
-2
What is ((-5)/7)/(100/(-40))?
2/7
What is the value of (1/3)/(36/(-81))?
-3/4
1/5*(-185)/148
-1/4
((-135)/105)/(9/6)
-6/7
(-6)/(-44)*(24/1)/(-6)
-6/11
Calculate ((-1)/(-3))/(44/12).
1/11
Calculate 3*(-2)/((-10)/1).
3/5
What is the value of 0*-4*12/(-48)?
0
What is the value of (-10)/4*20/125?
-2/5
(-9)/(-12)*116/957
1/11
What is ((-18)/12)/(45/(-12))?
2/5
Calculate (15/(-5))/(-6)*-10.
-5
Evaluate 8/5*(-5)/2.
-4
What is ((-80)/140)/((-46)/7)?
2/23
What is ((-17)/(-102))/(3/(-24))?
-4/3
What is the value of 2/6*(-222)/(-37)?
2
Calculate 2/(5/((-30)/(-6))*-19).
-2/19
(90/(-6))/3*1
-5
Evaluate 21*((-88)/(-24))/(-11).
-7
What is 3*(-8)/32*-4?
3
Evaluate 340/(-102)*(-12)/(-70).
-4/7
Evaluate (8/(-5))/((-14)/35*-1).
-4
What is the value of (((-162)/9)/9)/16?
-1/8
What is the value of 1*((-2)/(-5))/((-248)/(-155))?
1/4
What is the value of (-3)/3*(-72)/(-18)?
-4
Calculate (-120)/16*4/(-6).
5
Calculate ((6/3)/6)/((-6)/90).
-5
What is the value of (-24)/3*5/50*5?
-4
(2/(-2))/(-2)*0/(-37)
0
What is the value of (-44)/(-11)*7/(-14)?
-2
Calculate (-1)/(-2*((-54)/(-6))/144).
8
What is (-12)/(-42)*-3*(-21)/(-3)?
-6
What is ((-8)/18)/(2/(-3))?
2/3
Calculate 42/9*207/(-138).
-7
Calculate (20/16)/(-5)*0/5.
0
What is (-91)/(-39)*6/7?
2
(-2*-2*6/(-12))/8
-1/4
(2/(-5))/((-20)/(-100))
-2
Calculate (4/24)/((-6)/((-36)/6)).
1/6
What is the value of ((-51)/102)/((-11)/(-12)*-2)?
3/11
-2*1*2*144/96
-6
Evaluate 3/6*-8*8/(-32).
1
6/(-36)*5*(-6)/(-45)
-1/9
300/80*2/5
3/2
What is the value of ((-54)/9)/(5*9/30)?
-4
What is (1/(-28))/(21/(-49))?
1/12
(-2)/(-4)*35/(-14)
-5/4
Evaluate ((-24)/(-154))/3*2030/(-580).
-2/11
What is ((12/(-3))/12)/(-3)?
1/9
(11/(165/2))/((-2)/20)
-4/3
What is the value of (-105)/21*4/10?
-2
What is (-39)/13*10/6?
-5
Evaluate 15/(-1)*5/15.
-5
Calculate 2/(5/(75/10)).
3
Evaluate ((-21)/28)/((-39)/104).
2
-4*(3/4)/(-1)
3
What is the value of (-9)/168*(-16)/(-12)?
-1/14
What is 11/(-88)*4*-2?
1
What is (8/2)/12*-9?
-3
What is the value of (-52)/(-910)*14/6?
2/15
What is (22/((-1870)/153))/(1/(-5))?
9
Calculate (8/10)/(((-120)/(-50))/(-12)).
-4
Calculate (3/(-2))/(((-108)/16)/(-9)).
-2
Evaluate (((-567)/18)/21)/((-69)/(-4)).
-2/23
Evaluate ((-1)/(-1))/((-11)/(-44)).
4
Calculate (((-5)/(-3))/5)/((-76)/1140).
-5
Evaluate 0/(-2)*2/(24/6).
0
What is (518/(-6993))/(1/6)?
-4/9
What is 2/(-3)*3/(-19)?
2/19
Evaluate (-52)/(-468)*(-15)/2.
-5/6
What is 2*(200/48)/(-5)?
-5/3
What is the value of ((15/12)/5)/(4/80)?
5
What is the value of 8*(153/18)/17?
4
Calculate (-6)/(-9)*(-324)/360.
-3/5
What is the value of (3/15)/(9/45)?
1
Evaluate ((-1)/(-50)*5)/(18/30).
1/6
What is the value of (-5)/(((-30)/5)/(-6))?
-5
What is -5*(-3)/(-15)*2?
-2
Calculate ((-2)/(-3))/(3/((-126)/(-28))).
1
What is 13/1430*22*2/6?
1/15
What is ((-7)/(-35)*2/(-2))/(-2)?
1/10
1*-10*(-94)/235
4
What is (2/(-7))/((-9)/(315/20))?
1/2
Calculate 86/1505*(-14)/6.
-2/15
What is the value of ((12/(-33))/(-1))/((-16)/(-88))?
2
((-3)/(-27))/((-4)/12)
-1/3
((2/(-21))/1)/(68/(-306))
3/7
Calculate ((-4)/30)/((-24)/60).
1/3
What is (86/344)/(15/(-18))?
-3/10
What is (6/(-60)*4)/((-8)/5)?
1/4
Evaluate (-1)/(((-36)/(-10))/(4/10)).
-1/9
Calculate (-2)/(11/((-44)/(-8))).
-1
What is the value of ((20/(-25))/((-90)/25))/1?
2/9
Calculate ((49/105)/7)/((-2)/(-2)).
1/15
What is 0/2*1*87/(-87)?
0
Calculate ((-80)/(-12))/(12/9).
5
(-4*(-9)/468)/(-1)
-1/13
What is the value of ((36/15)/(-2))/((-18)/60)?
4
What is the value of (48/(-20))/((-2)/5)?
6
0*-3*2/24
0
Evaluate 2/(-6)*10/((-140)/21).
1/2
Evaluate 1*22/(-44)*(-8)/(-22).
-2/11
What is ((-8)/14)/(3/147*7)?
-4
What is the value of 30/(-35)*(-4)/(-24)?
-1/7
Evaluate (-3)/(-12)*(-6)/(-5)*2.
3/5
What is the value of 1/(-22)*136/(-34)?
2/11
What is the value of (-1*1)/(12/(112/(-28)))?
1/3
Calculate (22/22)/((-18)/(-6)).
1/3
Evaluate (2/(-2))/((-8)/(32/(-22))).
-2/11
(-78)/(-91)*4/6
4/7
10*((-2)/10)/(10/(-20))
4
Evaluate ((-20)/90)/((-1)/(3/2)).
1/3
What is the value of (2/(-18))/((-16)/(-96))?
-2/3
What is ((-150)/75)/(1/((-1)/2))?
1
Calculate (18/(-12))/(1/(-2)*-1).
-3
What is the value of (-2*(-11)/(-385))/(3/5)?
-2/21
What is ((-24)/(-504))/(1*(-3)/18)?
-2/7
What is (-3)/(-36)*(-68)/(-17)?
1/3
Evaluate 3/(-2)*(-9)/((-9)/2).
-3
What is (8/(-24)*3)/1?
-1
Evaluate (-9)/126*9/(-3)*-2.
-3/7
What is (2/(-10)*3)/((-312)/390)?
3/4
Evaluate 1*-1*(-74)/481.
2/13
What is the value of (12/10)/((-14)/35)?
-3
3*(-6)/9*15/10
-3
What is 1/((-2)/(-48)*4)?
6
What is the value of 2*57/(-38)*(-4)/(-3)?
-4
Evaluate (-3)/(18/8)*(-6)/(-4).
-2
What is (((-48)/40)/((-12)/(-30)))/5?
-3/5
What is (-36)/(12/6)*1/(-2)?
9
Evaluate (3/54)/(((-14)/8)/(-7)).
2/9
((-8)/78)/(322/483)
-2/13
What is the value of ((-4)/10)/(136/(-510))?
3/2
Evaluate ((700/42)/(-10))/((-5)/18).
6
What is the value of (-9)/12*8/(-21)?
2/7
What is the value of ((-50)/(-2)*6/15)/(-2)?
-5
(-4)/(-2)*((-7)/1)/42
-1/3
11/((-11)/(-1))*-2
-2
What is the value of 36/6*2/(-8)*-1?
3/2
What is 4/10*(-425)/(-34)?
5
What is (81/(-36))/((-15)/(-8))?
-6/5
Calculate ((-3)/(-2))/(18/6).
1/2
Calculate 2*(-21)/(21/(-4)).
8
(10*(-5)/(-15))/((-4)/6)
-5
What is (-102)/119*(-3)/((-72)/(-21))?
3/4
Calculate 408/272*(-2)/4.
-3/4
Calculate ((-10)/4*(-8)/20)/1.
1
What is the value of ((-5)/90)/(2/6)?
-1/6
What is ((-4)/(-5)*-1)/(1/5)?
-4
What is the value of (1*(-1)/33)/((-23)/138)?
2/11
4/6*684/1140
2/5
What is the value of ((-12)/28)/(18/(-28))?
2/3
What is 4/(-10)*(-75)/120?
1/4
Evaluate ((-18)/135)/(16/(-40)).
1/3
Evaluate ((8/50)/(-2))/(179/895).
-2/5
(-11)/(-22)*2/3
1/3
Evaluate (-4)/(-1)*30/(-24).
-5
What is (-1*3/6)/(33/(-330))?
5
What is (27/81)/((-1)/2*-2)?
1/3
Evaluate (-16)/(-40)*9/(-6)*-5.
3
Calculate 12/(-10)*45/(-18).
3
What is (-3)/(-2)*((-36)/2)/9?
-3
What is the value of ((-18)/168*-4)/((-3)/(-21))?
3
What is the value of (-5)/(-2)*-2*(-24)/(-30)?
-4
Evaluate 117/26*(-9)/((-243)/12).
2
(712/(-89))/(1/(-1))
8
What is ((-6)/(-15))/((-128)/(-80))?
1/4
96/(-48)*(-1)/(-18)
-1/9
320/(-40)*(-1)/2
4
Evaluate (10/75)/((-5)/30).
-4/5
What is (-10)/3*(-36)/96*-4?
-5
Calculate (10/15)/(22/(-132)).
-4
What is the value of (-2*1/2)/((-26)/(-4))?
-2/13
What is ((-22)/(-33))/(2/(-6))?
-2
((-3)/(-6))/(3/((-24)/28))
-1/7
Calculate (((-21)/(-2))/7)/(54/(-8)).
-2/9
What is 4/(((-2)/4)/((-88)/(-13024)))?
-2/37
(-30)/35*(-14)/(-3)
-4
Evaluate 50/(-20)*(-32)/680.
2/17
Calculate (15/(-105))/((-8)/7).
1/8
Calculate ((-98)/84)/(7/(-3)).
1/2
(-4)/((-72)/9)*12
6
What is the value of (4/(-9))/((-66)/33)?
2/9
(-4)/20*3*25/5
-3
What is (2/(8*-2))/((-54)/(-360))?
-5/6
What is 5*((-2)/(-3))/(12/18)?
5
Calculate -3*(4/(-14))/((-135)/(-63)).
2/5
Calculate 6/(-2)*(-27)/(-162).
-1/2
What is 3/1*152/342?
4/3
((8/10)/4)/(2/(-6))
-3/5
Calculate 17/34*(1/1)/2.
1/4
Evaluate 3/7*10/(-15).
-2/7
What is (2/6)/((-30)/(-15))*3?
1/2
What is the value of ((-20)/6)/(10/15)?
-5
Evaluate (-10)/(-12)*24/30*12.
8
What is the value of ((-12)/(-15)*-1)/((-6)/(-30))?
-4
What is the value of (-30)/9*6/45*9?
-4
What is (36/80)/3*26/(-39)?
-1/10
Calculate 1/2*2/(-7).
-1/7
What is (((-180)/(-5))/(-6))/(6/(-8))?
8
Calculate 16/(-64)*((-8)/22)/1.
1/11
What is (6/4)/(8/(-16))?
-3
What is 2/1*4/40?
1/5
Calculate (-11)/(-55)*6/2.
3/5
Evaluate (-14)/56*0/4.
0
Evaluate (-4)/30*295/(-59).
2/3
What is ((-1)/(-2))/(1/(-8))?
-4
What is the value of 5/((-75)/6)*10/(-16)?
1/4
Evaluate 3/(-9)*(-12)/28.
1/7
What is the value of (-24)/(-63)*(-14)/12?
-4/9
What is (-2)/(-2)*0/5?
0
What is the value of (4/(-15))/(2*1/3)?
-2/5
(15*(-2)/(-18))/((-2)/(-6))
5
What is the value of (4/(-14))/(7/392*-4)?
4
Evaluate (216/(-810))/((6/(-9))/(-1)).
-2/5
(-8)/6*((-729)/(-252))/(-27)
1/7
What is the value of (-12)/(-63)*(-6)/2?
-4/7
What is the value of (1*-5)/((-49)/(-49))?
-5
Calculate (-2)/(-2)*(24/(-14))/(-6).
2/7
Evaluate 3/2*2/(-12)*-1.
1/4
What is ((-20)/(-50))/(2/20)?
4
Evaluate ((-70)/(-77))/(12/33).
5/2
What is | {
"pile_set_name": "DM Mathematics"
} |
ment from {x: 9, y: 11}. What is prob of sequence yxyy?
99/1292
Two letters picked without replacement from oroov. What is prob of sequence ro?
3/20
Four letters picked without replacement from dbwqqdqtqwdqq. What is prob of sequence qqdd?
3/286
Three letters picked without replacement from gyykrmeg. Give prob of sequence mky.
1/168
Three letters picked without replacement from {o: 1, s: 1, x: 1, h: 2}. What is prob of sequence xho?
1/30
Three letters picked without replacement from svtyktlvs. What is prob of sequence sst?
1/126
Two letters picked without replacement from ccpqiic. Give prob of sequence ip.
1/21
Calculate prob of sequence ff when two letters picked without replacement from ffffhhfffff.
36/55
What is prob of sequence al when two letters picked without replacement from aaalqaq?
2/21
Four letters picked without replacement from wppiprd. What is prob of sequence rppd?
1/140
Three letters picked without replacement from cocpoopcppoooooooooo. Give prob of sequence cpo.
13/570
Four letters picked without replacement from flifclf. Give prob of sequence ffll.
1/70
Calculate prob of sequence ng when two letters picked without replacement from ujngjua.
1/42
Two letters picked without replacement from lppfplpvjf. What is prob of sequence lj?
1/45
Two letters picked without replacement from {k: 1, i: 1, l: 8, a: 3, v: 1, n: 2}. What is prob of sequence iv?
1/240
Three letters picked without replacement from bpbpbppbbbpbbppbbppp. What is prob of sequence pbb?
5/38
Three letters picked without replacement from {o: 4, u: 4, x: 1, c: 1}. Give prob of sequence ouo.
1/15
Four letters picked without replacement from sppzspzpa. Give prob of sequence pazs.
1/189
Four letters picked without replacement from {o: 1, e: 1, l: 2, a: 2, h: 4, f: 5}. Give prob of sequence flle.
1/3276
Two letters picked without replacement from ije. Give prob of sequence ij.
1/6
Calculate prob of sequence qj when two letters picked without replacement from {m: 1, q: 4, f: 2, p: 1, j: 1}.
1/18
Calculate prob of sequence koyw when four letters picked without replacement from {l: 2, w: 2, o: 2, y: 2, k: 4}.
4/1485
What is prob of sequence ipig when four letters picked without replacement from iivvvvvvgiipjigv?
1/1092
Three letters picked without replacement from zccow. Give prob of sequence woc.
1/30
Four letters picked without replacement from ytytyyttyyyttyyt. What is prob of sequence tyyy?
21/260
Two letters picked without replacement from {a: 1, v: 2, f: 1, z: 1}. Give prob of sequence va.
1/10
What is prob of sequence beb when three letters picked without replacement from xbxxgexexxeb?
1/220
What is prob of sequence ihii when four letters picked without replacement from oohohiihiiohohiiii?
7/306
Three letters picked without replacement from izfnnfnnfmfmin. What is prob of sequence fzf?
1/182
Four letters picked without replacement from yllaac. Give prob of sequence cala.
1/90
Four letters picked without replacement from dddadddddddaaaaddd. Give prob of sequence adaa.
13/1224
Calculate prob of sequence ff when two letters picked without replacement from {f: 5}.
1
Two letters picked without replacement from ccaaaaaneceeadacnuea. What is prob of sequence au?
2/95
Three letters picked without replacement from dfkddxdfdffgkfikk. Give prob of sequence gfd.
5/816
Calculate prob of sequence rtg when three letters picked without replacement from gagaeaegeeraet.
1/728
What is prob of sequence yssq when four letters picked without replacement from {q: 4, r: 3, s: 4, y: 1, a: 1}?
2/715
Four letters picked without replacement from iictutccctccct. What is prob of sequence utct?
1/286
What is prob of sequence memm when four letters picked without replacement from mmmeeme?
3/35
Calculate prob of sequence ihhi when four letters picked without replacement from {h: 6, i: 6}.
5/66
What is prob of sequence ksh when three letters picked without replacement from {k: 1, s: 2, x: 1, h: 4, b: 2}?
1/90
Calculate prob of sequence pxp when three letters picked without replacement from epexeepp.
1/56
Three letters picked without replacement from {j: 1, d: 1, v: 2, f: 2}. What is prob of sequence vfd?
1/30
Four letters picked without replacement from zezzzzezzzzzzzzzezee. What is prob of sequence zzzz?
91/323
What is prob of sequence phg when three letters picked without replacement from {g: 2, h: 1, p: 2}?
1/15
Calculate prob of sequence nqt when three letters picked without replacement from {n: 1, q: 12, t: 3, f: 2, b: 2}.
1/190
Calculate prob of sequence egk when three letters picked without replacement from eegkkegkkeeeekggeek.
12/323
Calculate prob of sequence ggk when three letters picked without replacement from {g: 7, k: 7}.
7/52
Three letters picked without replacement from {u: 2, z: 3, l: 5, c: 1, h: 8}. What is prob of sequence lhu?
40/2907
Calculate prob of sequence zexx when four letters picked without replacement from {e: 1, k: 1, x: 2, z: 1}.
1/60
Two letters picked without replacement from qjjolliloiihojloo. Give prob of sequence lq.
1/68
Two letters picked without replacement from yogbbpgbygeg. Give prob of sequence yp.
1/66
What is prob of sequence sw when two letters picked without replacement from ssswjsswwwswjswwssj?
7/38
What is prob of sequence ee when two letters picked without replacement from eeebebb?
2/7
Three letters picked without replacement from {v: 3, k: 11, x: 1, o: 5}. Give prob of sequence kko.
55/684
Four letters picked without replacement from {s: 2, u: 1, x: 1, i: 1, j: 5}. What is prob of sequence juji?
1/252
What is prob of sequence ogn when three letters picked without replacement from ngoggggngg?
7/360
Two letters picked without replacement from ppupuepuupp. Give prob of sequence up.
12/55
Calculate prob of sequence uu when two letters picked without replacement from uub.
1/3
Three letters picked without replacement from kckpckkpkpcbppcpcpk. Give prob of sequence pkp.
14/323
Two letters picked without replacement from {c: 3, b: 2, g: 9, a: 2, n: 1}. Give prob of sequence aa.
1/136
Calculate prob of sequence grt when three letters picked without replacement from ytgutrt.
1/70
Calculate prob of sequence cqy when three letters picked without replacement from lcrqlyllr.
1/504
What is prob of sequence xwcx when four letters picked without replacement from {c: 5, w: 2, x: 5}?
5/297
What is prob of sequence hr when two letters picked without replacement from {k: 1, h: 4, r: 1, v: 6, n: 3}?
2/105
What is prob of sequence bdb when three letters picked without replacement from {b: 8, d: 2}?
7/45
Three letters picked without replacement from xzmhnzzhnh. What is prob of sequence znm?
1/120
Four letters picked without replacement from kkkkkkpkkkkkkkkkkk. What is prob of sequence kkpk?
1/18
What is prob of sequence hh when two letters picked without replacement from {h: 3, i: 1, o: 1, b: 1, c: 1}?
1/7
Calculate prob of sequence eet when three letters picked without replacement from ketevvvvvuev.
1/220
Two letters picked without replacement from {h: 5, r: 4, m: 4, u: 6}. What is prob of sequence uh?
5/57
Three letters picked without replacement from {n: 5, a: 3}. Give prob of sequence nan.
5/28
Four letters picked without replacement from ygisstiistiiys. What is prob of sequence ysgg?
0
Calculate prob of sequence cc when two letters picked without replacement from dcdcd.
1/10
Two letters picked without replacement from {j: 1, r: 1, l: 1, e: 2}. What is prob of sequence ee?
1/10
Calculate prob of sequence htt when three letters picked without replacement from tvht.
1/12
Four letters picked without replacement from eekkeekkkkkkkekkkek. What is prob of sequence keek?
65/1292
Two letters picked without replacement from {g: 2, u: 12, w: 5}. What is prob of sequence wu?
10/57
What is prob of sequence ccn when three letters picked without replacement from {n: 1, f: 1, c: 2, b: 2}?
1/60
Two letters picked without replacement from mpneanmrmeermrneenna. What is prob of sequence rm?
3/95
Two letters picked without replacement from gbbbqngbb. Give prob of sequence gg.
1/36
Two letters picked without replacement from pppyyppyvypvffpyppfp. Give prob of sequence fv.
3/190
Two letters picked without replacement from {i: 1, m: 1, y: 1, z: 4, a: 5}. What is prob of sequence ya?
5/132
Two | {
"pile_set_name": "DM Mathematics"
} |
or x?
s
Let w = -10.71 + -0.29. Let o = 17102 + -17101.6. Which is bigger: w or o?
o
Let q be 848/472 - (4 + -2). Do q and 1 have different values?
True
Suppose 2*m = -0*m - 2. Let a be (2 + 6*m)*-4. Are 16 and a non-equal?
False
Let p = 1/1018 + 30503/37666. Let z be (651/(-259))/(4/(-18)). Let u = z - p. Which is smaller: u or 11?
u
Let u(w) = -w + 17. Suppose -2*k = 5*t - 5, -3*k = -2*k - 3*t - 19. Let q be u(k). Let a = -10 + q. Is -4 <= a?
True
Let q(y) = y**2 - 3*y + 2. Let j be q(3). Let b be (2/2)/(1 - j). Which is greater: 2/47 or b?
2/47
Let z(q) = -q**2 + 6*q + 1. Let o be z(8). Let d be 162/o - (-24)/30. Suppose -3*i + 45 = -8*i. Which is bigger: d or i?
i
Let q(l) = 39*l**2 - 14*l - 51. Let y be q(-3). Which is bigger: y or -2?
y
Let t = 1.77 + -28.07. Let l = 1.3 + t. Is l at least -0.1?
False
Let p(f) = f**3 + 4*f**2 - f - 2. Suppose -3*n = -2*u + 20, 0 = -3*n + 4*u - 3*u - 16. Let d be p(n). Suppose -b = -0 - d. Does b = 9/4?
False
Let g be (156/8)/(-2 + 1461/708). Let k = 308 - g. Let z be 2/3*6/4. Does z = k?
False
Let u = 22 - -6. Let b be 7/u - (-61)/(-276). Which is greater: b or 1?
1
Let g = 58/249 + -9307/166. Is -56 <= g?
True
Let r = -167/8 + 173/8. Which is greater: r or -28?
r
Let r = 30 + -19. Let s(j) = j**2 - 11*j - 15. Let w be s(r). Let m = w - -6. Which is bigger: -10 or m?
m
Suppose -2*k + 0*k + 10 = 0. Suppose -2*x - x = -k*x. Is x greater than or equal to -2/141?
True
Let f = 4619/616 - -29/77. Which is smaller: f or 8?
f
Let g = 5.03 + -1.33. Which is greater: g or 1/5?
g
Suppose -b + 273 - 606 = 0. Which is bigger: b or -332?
-332
Let i(t) = t**3 + 4*t**2 - 2*t - 3. Let w be i(-4). Let v = 0.25 - 0.09. Let o = v - -0.04. Is w >= o?
True
Let v = 1143 + -1165. Let b = 5 - 4. Let s be b/2*(-16)/28. Which is smaller: v or s?
v
Let p = 1908/2795 + -32/43. Do -1/2 and p have different values?
True
Suppose -3*z + 4*x + 1 = 0, -2*z - 2*x = -5*z - 1. Let q be 56/35*z/28. Let j be (-1)/(-3*(-1)/3). Does j = q?
False
Let h = 0.041 + 2.859. Let y = h - 3.19. Which is bigger: y or -1/4?
-1/4
Let q be (-46)/(-8) - (-7)/(-14). Suppose t - 11 = 13. Let k be (-16)/(-6) + t/18. Which is bigger: q or k?
q
Let w be ((-4)/(-24))/((-2)/116). Let t = 3427 - 3437. Is w greater than t?
True
Suppose -x = x - 2*g + 10, -5*g + 17 = 3*x. Let b be (-3 - x)/((-35)/(-14)). Let y = -37/2 + 19. Which is smaller: b or y?
b
Let g = 41906/35 + -9455/7. Let p = g + 154. Which is smaller: p or 2/3?
p
Suppose -z + 9 - 4 = 0. Let k = z - 4. Let p be ((-4)/2)/(16 - 40). Which is smaller: k or p?
p
Let d be 2*(-6 + (-3 - -4)). Let i be (5/d)/((-3)/2). Is i < -0.1?
False
Let g = -3.69 - -1.69. Which is greater: g or -1/48?
-1/48
Let n be (6/1)/(2/3). Suppose 15 = -6*a - n. Is -7 equal to a?
False
Let u(x) = -3*x. Let b(n) = -n. Let w(t) = -5*b(t) + 2*u(t). Let m = -10 + 6. Let j be w(m). Which is bigger: j or 5?
5
Let i be 1/(10/25) - (-1790)/(-140). Is i != -10?
True
Let p = 17 + -32. Let l be ((-4)/10)/((-63)/p). Is -2/11 > l?
False
Let x = -106185 + 11892609/112. Let t = 17/16 + x. Let s = 1 - 0. Is t >= s?
False
Let m(s) = s**3 - 10*s**2 + 8*s + 8. Let i be 6/21 + (-8)/28. Suppose t - 16 = -2*c - t, -4*c + t + 37 = i. Let p be m(c). Which is smaller: p or -2/7?
p
Let g = -0.0487 - -0.0387. Which is smaller: -0.2 or g?
-0.2
Let c be 1 + -6 - (-19 + 15). Which is greater: c or 2/1065?
2/1065
Let w be (-5)/(165/156) - (-8)/4. Which is smaller: w or -3?
-3
Let b(q) = -3 + 20 - 774*q + 777*q - q**2. Let s be b(7). Which is bigger: 1 or s?
1
Let d be (-50)/15*42/5. Let o = d + 19. Let q be 9/(-12)*(-3)/o. Is -0.2 at most as big as q?
False
Suppose -70 = -5*v + 4*u, 2*v = u - 2*u + 15. Which is bigger: -22 or v?
v
Suppose p = -p + 2. Let g = -4 + -19. Let l = g - -26. Is p at least l?
False
Let o be 4 - 4/(-6)*53. Is 39 less than or equal to o?
True
Let p(z) = -z**3 - 5*z**2 + 5*z + 4. Let a be p(-5). Let n(d) = 34*d + 14. Let h be n(-1). Is a != h?
True
Let q = -5 - -5. Suppose q = 2*g - 0*o + 3*o - 8, -2*o - 4 = -g. Which is greater: 0 or g?
g
Let r = 186/121 + -207148/134915. Which is greater: -1 or r?
r
Suppose 0 = 3*g - 5*n - 14, n = -4*g - 0*n + 11. Suppose 2*u - g*u = 3. Which is smaller: -17/4 or u?
-17/4
Let j be 8/10*9080/(-16). Let z = j + 4072/9. Is -2 smaller than z?
True
Let s be 16/(-80) + (-34)/(-70) + (-24 - -24). Let j = -20 + 13. Let x = j - -4. Which is bigger: s or x?
s
Let m = -97/13 + 875/117. Which is greater: 1 or m?
1
Suppose -5*y + y = -5*i + 140, i - 2*y = 34. Which is greater: 21 or i?
i
Let p = -7.1 - 6.9. Are -0.1 and p nonequal?
True
Let p be ((-9)/(-6))/((-6)/8). Let u = -215.8 - -159. Let b = u + 57. Which is greater: p or b?
b
Suppose -4*q = -5*y + 100, -3*q - 28 = -2*y + q. Let h be (-2)/(-4) + (-300)/y. Are -12 and h non-equal?
False
Let n = 9 - -3. Suppose 5*z + n = -13. Let w be 216/(-40) + 3/z. Which is bigger: -5 or w?
-5
Let j = -184 + 62. Which is greater: -123 or j?
j
Let n(y) = -3*y - 7. Let j(f) = -f - 2. Let m(r) = 8*j(r) - 3*n(r). Let i be m(-5). Let z be 13 + (4 - 10) + -2. Is z at most as big as i?
False
Let j be ((-7)/(-4))/((-3)/24). Suppose -6*o - 48 = -3*o. Let b be (24/o)/((-2)/(-20)). Which is smaller: j or b?
b
Suppose 2*u + 140 = 4*r, 0 = 6*r - 3*r - u - 107. Suppose 41*t - 4 = r*t. Let x(d) = d**3 - 3*d**2 - 3*d - 2. Let s be x(4). Which is smaller: t or s?
t
Let u be ((-3)/(-2))/((-30)/16). Let f(x) = 0 + 2*x**3 - x - 6*x**3 + 3*x**3 + 10*x**2 + 9. Let w be f(10). Which is bigger: w or u?
u
Let x = -5/1308 + 49789/22236. Which is smaller: 2/7 or x?
2/7
Let j = -16.017 + 16. Let o = 0.017 + j. Let m be (-4)/6*(1 + 1). Is o <= m?
False
Let s = 13 + -11. Let y = 0.54 - -0.46. Which is smaller: s or y?
y
Suppose -2*z + 119 = -5*m, 0*z = 4*z - 5*m - 213. Which is smaller: 48 or z?
z
Suppose -5*r + 159 = 19. Let k = -20 + r. Suppose -2*c + k = g + g, -4 = -4*g. Which is smaller: 8/5 or c?
8/5
Let g = 17.357 + -13.357. Suppose 4*o - 1 = 11. Which is smaller: g or o?
o
Let b be 3/1*-1 - 72/(-26). Let o be 3*(-1)/(2/(-2)). Let v be (-6 + o)/(-3)*-1. Which is greater: v or b?
b
Let v = 55 + -55. Let r be v*((-2)/(-8)*2 - 1). Which is smaller: r or 2/335?
r
Let f = 517 + -537. Which is smaller: 3 or f?
f
Let l(a) be the first derivative of a**4/2 - a**3/3 - a**2 - a - 6. Let s be (1 + -2)*1 - 0. Let q be l(s). Is q greater than -1?
False
Let b be (-3)/(-12) - 11/12. Let m be (0 + -2)*(5 + 75/2). Let n = m - -79. Is b less than n?
False
Suppose 0 = 3*x + 9, -4*x + 69 = b + 77. Which is greater: b or -11?
b
Let j = -50233/27 - -1861. Which is greater: 2 or j?
2
Suppose 14 = -3*a - 5*u, -4*a + 5*u = -2*a - 24. Suppose 0*q - 78 = -a*q - 4*j, 4*j + 54 = 2*q. Is q at most 32?
False
Let v be (2784/36)/(6/9). Is v at most as big as 116?
True
Let r = -0.031 + 16.031. Let w = -13 + r. Which is bigger: -2/13 or w?
w
Let g(y) = -y**2 + 9*y + 4. Let m be g(9). Let q be (-2)/m*(-25 - -23). Is q at most 24/11?
True
Let v(z) = -z**2 + 11*z - 13. Let w be v(9). Suppose h = -w*r + 55, 2*r + 4 = 5*h - 1. Suppose -r = -d - d. Which is smaller: 3 or d?
3
Let u(k) = 10*k**2 - 1. Let f be u(1). Let j = -2 - f. Is -7 < j?
False
Suppose 2873*a = 2881*a - 32. Let m(f) = 2*f**2 - 2*f**2 + 7*f + 11 - f**2. Let w be m(8). Are w and a equal?
False
Let a be (-3 - (-51)/15)*-50. Let u = 32 + a. Let f be u/30*10/(-14). Which is greater: f or 0.3?
0.3
Let a be ((-27)/63)/((-5)/(-35)). Let k = -24 + 13. Is a greater than or equal to k?
True
Let s = -1.1 + 0.1. Let z = -54718/7 - -7817. Is s > z?
False
Suppose 4*r + 0*r + 4*p = 92, -p - 97 = -5*r. Let j(i) = 27*i + 2772. Let t be j(-102). Which is bigger: t or r?
r
Let m = 42 + 14. Let c = m + -55.9. Which is smaller: c or -9?
-9
Let i = -0.522 - -0.622. Which is greater: -30.9 or i?
i
Let d = 18 + -9. Let q = 5.05 + -0.05. Let s = q - d. Which is bigger: 1 or s?
1
Let x be 20/45*(-18)/(-4) + 0. Let r be x - (-6 - -11) - (-354)/117. Suppose -4*i = -2*o + 6, 3*i = 3*o + o - 7. Which is smaller: r or o?
r
Let m = 411 - 413. Which is smaller: m or -5/3?
m
Let l = 8.8 - -7.6. Let f = 17 - l. Which is smaller: -0.1 or f?
-0.1
Let f = -341 - -270. Which is greater: f or -72?
f
Let b = -716 - -732.91. Let z = 17 - b. Let i = -0.201 + 0.301. Which is greater: z or i?
i
Let c be 82/(-3)*12/(- | {
"pile_set_name": "DM Mathematics"
} |
92, 459554, 459536, 459544, 459584, 459662, 459784?
x**3 + x**2 - 62*x + 459704
What is the o'th term of 21871, 43771, 65683, 87613, 109567, 131551?
o**3 + 21893*o - 23
What is the w'th term of 183, 192, 203, 216, 231?
w**2 + 6*w + 176
What is the u'th term of 37, 172, 543, 1270, 2473, 4272, 6787?
20*u**3 - 2*u**2 + u + 18
What is the p'th term of 294, 696, 1112, 1548, 2010, 2504, 3036?
p**3 + p**2 + 392*p - 100
What is the s'th term of -1706, -3375, -5032, -6677, -8310?
6*s**2 - 1687*s - 25
What is the g'th term of -2999, -6050, -9101, -12152?
-3051*g + 52
What is the j'th term of 73, 202, 409, 682, 1009, 1378, 1777, 2194?
-2*j**3 + 51*j**2 - 10*j + 34
What is the r'th term of -24, 17, 136, 345, 656, 1081?
2*r**3 + 27*r**2 - 54*r + 1
What is the v'th term of -5319, -5324, -5329, -5334, -5339?
-5*v - 5314
What is the g'th term of -2816, -2851, -2922, -3041, -3220?
-2*g**3 - 6*g**2 - 3*g - 2805
What is the d'th term of 2797, 2652, 2507, 2362, 2217?
-145*d + 2942
What is the v'th term of 252, 362, 586, 930, 1400, 2002, 2742?
v**3 + 51*v**2 - 50*v + 250
What is the b'th term of -4254, -4255, -4256, -4257, -4258, -4259?
-b - 4253
What is the g'th term of 3287, 3257, 3227, 3197, 3167?
-30*g + 3317
What is the a'th term of 1877, 3728, 5593, 7478, 9389, 11332, 13313?
a**3 + a**2 + 1841*a + 34
What is the n'th term of -72, -293, -698, -1317, -2180, -3317, -4758, -6533?
-5*n**3 - 62*n**2 - 5
What is the r'th term of -106, -134, -190, -286, -434?
-2*r**3 - 2*r**2 - 8*r - 94
What is the y'th term of -48, -65, -82, -99, -116?
-17*y - 31
What is the c'th term of -256, -1109, -2528, -4513?
-283*c**2 - 4*c + 31
What is the p'th term of 11211155, 11211154, 11211153?
-p + 11211156
What is the u'th term of 374, 1674, 3856, 6908, 10818, 15574?
-2*u**3 + 453*u**2 - 45*u - 32
What is the v'th term of -3250079, -6500162, -9750247, -13000334?
-v**2 - 3250080*v + 2
What is the x'th term of -56, 72, 560, 1594, 3360, 6044, 9832, 14910?
31*x**3 - 6*x**2 - 71*x - 10
What is the u'th term of -5052, -20212, -45480, -80856, -126340, -181932, -247632?
-5054*u**2 + 2*u
What is the m'th term of -267, -434, -607, -786, -971, -1162?
-3*m**2 - 158*m - 106
What is the d'th term of -37951, -75906, -113861, -151816, -189771?
-37955*d + 4
What is the m'th term of 3733, 3691, 3567, 3319, 2905?
-7*m**3 + m**2 + 4*m + 3735
What is the z'th term of -6504, -6495, -6486, -6477?
9*z - 6513
What is the l'th term of 57043, 114069, 171093, 228115, 285135, 342153?
-l**2 + 57029*l + 15
What is the p'th term of -26, -138, -422, -956, -1818?
-13*p**3 - 8*p**2 + 3*p - 8
What is the j'th term of 7589, 60799, 205243, 486539, 950305, 1642159?
7603*j**3 - j**2 - 8*j - 5
What is the i'th term of -199, -400, -671, -1012, -1423, -1904?
-35*i**2 - 96*i - 68
What is the d'th term of -1842, -6968, -15524, -27516, -42950, -61832, -84168?
-d**3 - 1709*d**2 + 8*d - 140
What is the f'th term of -725, -1475, -2243, -3035, -3857, -4715?
-f**3 - 3*f**2 - 734*f + 13
What is the m'th term of 30813, 123228, 277257, 492906, 770181, 1109088, 1509633?
m**3 + 30801*m**2 + 5*m + 6
What is the n'th term of -151415, -151414, -151413, -151412?
n - 151416
What is the f'th term of -4084, -16343, -36774, -65377, -102152?
-4086*f**2 - f + 3
What is the f'th term of 31, -2, -93, -242, -449?
-29*f**2 + 54*f + 6
What is the r'th term of 1058, 791, 316, -391, -1354, -2597?
-4*r**3 - 80*r**2 + r + 1141
What is the q'th term of -1071, -1076, -1077, -1074?
2*q**2 - 11*q - 1062
What is the u'th term of -1771, -1849, -1927, -2005?
-78*u - 1693
What is the y'th term of -3946, -3973, -4018, -4081, -4162?
-9*y**2 - 3937
What is the a'th term of 88200, 88201, 88202, 88203, 88204, 88205?
a + 88199
What is the u'th term of -4691, -9376, -14061?
-4685*u - 6
What is the r'th term of -552622, -552623, -552624, -552625?
-r - 552621
What is the j'th term of 929, 1848, 2765, 3680?
-j**2 + 922*j + 8
What is the i'th term of -7886, -7768, -7652, -7538?
-i**2 + 121*i - 8006
What is the w'th term of -321129, -321130, -321131, -321132?
-w - 321128
What is the j'th term of -489, -1059, -1629, -2199, -2769, -3339?
-570*j + 81
What is the m'th term of 195, 64, -65, -192, -317, -440?
m**2 - 134*m + 328
What is the z'th term of 6724, 6764, 6804, 6844?
40*z + 6684
What is the n'th term of 4150, 8202, 12254, 16306?
4052*n + 98
What is the i'th term of 8028, 8057, 8086, 8115, 8144?
29*i + 7999
What is the r'th term of 5465, 5580, 5695, 5810, 5925, 6040?
115*r + 5350
What is the g'th term of -6581, -26274, -59089, -105032, -164109?
-g**3 - 6555*g**2 - 21*g - 4
What is the f'th term of 4954, 4811, 4662, 4507, 4346, 4179?
-3*f**2 - 134*f + 5091
What is the w'th term of -22, -57, -130, -259, -462?
-3*w**3 - w**2 - 11*w - 7
What is the b'th term of -15, -23, -35, -45, -47?
b**3 - 8*b**2 + 9*b - 17
What is the q'th term of -268270, -536537, -804804, -1073071, -1341338?
-268267*q - 3
What is the c'th term of 124, 473, 1062, 1897, 2984, 4329, 5938, 7817?
c**3 + 114*c**2 + 9
What is the p'th term of -5527, -11047, -16565, -22081, -27595, -33107?
p**2 - 5523*p - 5
What is the v'th term of -24, -410, -1428, -3384, -6584, -11334, -17940?
-51*v**3 - 10*v**2 + v + 36
What is the i'th term of -222, -193, -164, -135?
29*i - 251
What is the n'th term of 935, 2030, 3125, 4220?
1095*n - 160
What is the i'th term of -4894, -9585, -14278, -18973, -23670, -28369, -33070?
-i**2 - 4688*i - 205
What is the s'th term of 655, 1330, 2139, 3148, 4423?
11*s**3 + s**2 + 595*s + 48
What is the c'th term of -5355, -42926, -144899, -343476, -670859?
-5367*c**3 + c**2 - 5*c + 16
What is the a'th term of -1025, -4093, -9205, -16355, -25537, -36745?
a**3 - 1028*a**2 + 9*a - 7
What is the m'th term of -34, -85, -142, -199, -250?
m**3 - 9*m**2 - 31*m + 5
What is the q'th term of -119, -103, -13, 157, 413, 761?
q**3 + 31*q**2 - 84*q - 67
What is the l'th term of 10945, 10924, 10867, 10756, 10573, 10300, 9919?
-3*l**3 + 10948
What is the t'th term of 215, 126, 25, -88, -213, -350?
-6*t**2 - 71*t + 292
What is the g'th term of 1335, 2660, 3991, 5328, 6671?
3*g**2 + 1316*g + 16
What is the o'th term of -98342, -98340, -98336, -98330, -98322?
o**2 - o - 98342
What is the a'th term of -8278, -16561, -24854, -33157, -41470, -49793?
-5*a**2 - 8268*a - 5
What is the k'th term of -1056, -2113, -3170, -4227, -5284, -6341?
-1057*k + 1
What is the v'th term of -424, -3341, -11268, -26713, -52184?
-418*v**3 + 3*v**2 - 9
What is the f'th term of -5346, -5371, -5396?
-25*f - 5321
What is the h'th term of 186, 809, 1844, 3297, 5174, 7481?
h**3 + 200*h**2 + 16*h - 31
What is the s'th term of -48181, -48185, -48189, -48193, -48197, -48201?
-4*s - 48177
What is the s'th term of 54, 619, 2170, 5199, 10198, 17659, 28074, 41935?
82*s**3 + s**2 - 12*s - 17
What is the o'th term of 1219921, 2439847, 3659763, 4879663, 6099541, 7319391, 8539207, 9758983?
-o**3 + o**2 + 1219930*o - 9
What is the h'th term of 16745, 16736, 16727, 16718?
-9*h + 16754
What is the w'th term of 99, 402, 909, 1620, 2535, 3654?
102*w**2 - 3*w
What is the m'th term of -2766, -4735, -6700, -8661?
2*m**2 - 1975*m - 793
What is the y'th term of 48949, 97900, 146851, 195802, 244753?
48951*y - 2
What is the u'th term of 91, 124, 175, 244, 331, 436, 559?
9*u**2 + 6*u + 76
What is the s'th term of -90605, -90603, -90599, -90593, -90585?
s**2 - s - 90605
What is the r'th term of -436, -529, -686, -907?
-32*r**2 + 3*r - 407
What is the c'th term of 160, 208, 256, 304, 352?
48*c + 112
What is the a'th term of -1624, -3233, -4826, -6403, -7964, -9509?
8*a**2 - 1633*a + 1
What is the j'th term of 14, 71, 174, 329, 542, 819?
j**3 + 17*j**2 - j - 3
What is the a'th term of 12037, 24079, 36121, 48163?
12042*a - 5
What is the b'th term of 89, 823, 2829, 6743, 13201, 22839?
106*b**3 - 8*b - 9
What is the f'th term of 321, 1287, 2867, 5037, 7773, 11051?
-4*f**3 + 331*f**2 + f - 7
What is the b'th term of 109, 132, 127, 88, 9, -116, -293?
-b**3 - 8*b**2 + 54*b + 64
What is the t'th term of -1425, -5712, -12853, -22848, -35697?
-1427*t**2 - 6*t + 8
What is the x'th term of 63618, 63625, 63642, 63675, 63730, 63813, 63930?
x**3 - x**2 + 3*x + 63615
What is the y'th term of 58, 92, 122, 148?
-2*y**2 + 40*y + 20
What is the r'th term of -5349, -5400, -5481, -5598, -5757?
| {
"pile_set_name": "DM Mathematics"
} |
qrt(19))**2.
-36*sqrt(19) + 1543
Simplify (-4*-2*sqrt(243)/(sqrt(9)*1))/(4*((sqrt(90) + (-1*sqrt(90) - sqrt(90)))/sqrt(10) + sqrt(99)/sqrt(176)))*1.
-8*sqrt(3)/3
Simplify 5*((sqrt(72) - (sqrt(72) - (sqrt(72) + (4*sqrt(72) - sqrt(72)))) - sqrt(72))*1)/((sqrt(324) - (-2*sqrt(324) - sqrt(324))*6) + sqrt(324) + sqrt(324)).
5*sqrt(2)/21
Simplify ((1 + -3 + (sqrt(363) - (sqrt(363)*3 - sqrt(363))) + 1 + -3 + -2 + sqrt(363))**2 + 4)*-3.
-120
Simplify 2 + 5 + 4 + ((sqrt(325) - (sqrt(325) + -1))*-5 - (2 + sqrt(325)*-1))**2 + 2.
-70*sqrt(13) + 387
Simplify -2*(sqrt(3) + -4)*-4*-5 + (sqrt(48)*-1*4*3)**2.
-40*sqrt(3) + 7072
Simplify (sqrt(539) - sqrt(539)*1 - sqrt(539))**2 + 0 + -2*(sqrt(539) - sqrt(539)*-1) + sqrt(539) + 2*(-4*sqrt(66)*-2 + sqrt(66))/(-1*sqrt(216)).
-24*sqrt(11) + 539
Simplify ((sqrt(156) + sqrt(156) + sqrt(156)*3*-6 - sqrt(156)*-2*3)*-5)/((sqrt(108) + 3*-1*sqrt(108) + sqrt(108))/(sqrt(225)*3)).
-750*sqrt(13)
Simplify 2*(0 + sqrt(17)) + (sqrt(17) + (-3*sqrt(17) + 1)**2 - sqrt(17)) + (5*-1*sqrt(17) - sqrt(17))*-1*5.
26*sqrt(17) + 154
Simplify (2 + sqrt(10)/(sqrt(8) + sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)))*1 + (2*-2*sqrt(80) - sqrt(80) - sqrt(80))/sqrt(4)*-3.
2 + 289*sqrt(5)/8
Simplify (sqrt(12)*2*-5)**2*5 + -2 + ((0 + sqrt(300) + sqrt(300))*5)**2.
35998
Simplify ((-4 + 0 + sqrt(468) - (sqrt(468) + 1 + sqrt(468) + -5))**2 + (6*sqrt(468)*2)**2 + 4)*-3.
-203592
Simplify 5 + ((-5 + 0 + ((0 + sqrt(99))*5 - (sqrt(99) - (-6*(sqrt(99) - (sqrt(99) - (sqrt(99) + 1 + sqrt(99)))) - sqrt(99)))))*3 + -1)**2.
5508*sqrt(11) + 73332
Simplify -3 + ((sqrt(140) + sqrt(140)*-2*5 - sqrt(140) - sqrt(140))/sqrt(5))/(-2*((sqrt(4)*-3*-1 - sqrt(4)) + sqrt(4))).
-3 + 11*sqrt(7)/6
Simplify ((-3*sqrt(110)/sqrt(5) - sqrt(22) - sqrt(1408)*-2)*3)/(sqrt(110)/(-3*sqrt(10)) + -3*sqrt(176)).
-108*sqrt(2)/37
Simplify ((1*(sqrt(1377) - -4*sqrt(1377)))**2 + 1 - ((sqrt(17) - sqrt(102)/sqrt(6)*1) + 0 + -4))*2.
68860
Simplify -5*(-2 + ((sqrt(500) - (2 + -2*sqrt(500)))**2*-6 - ((0 + sqrt(500) + -1)**2 - (1*(1*sqrt(500) + sqrt(500)))**2))).
-3700*sqrt(5) + 127635
Simplify (-5 + -4 + (-4*sqrt(891) - sqrt(891)) + 5*-2*-6*sqrt(891))**2 + -4 + 1.
-8910*sqrt(11) + 2695353
Simplify (2*(-6*((sqrt(75) - (1 + (2*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)))) + -2 + 1*sqrt(75) + sqrt(75)) + 3) + -4)**2.
1444
Simplify (2*(2 + sqrt(117) + 1) - ((2 + 0 + sqrt(117) - sqrt(117))**2 + sqrt(117) + 1 + -5))*4.
24 + 12*sqrt(13)
Simplify (((sqrt(560) + -2*sqrt(560))*-4)/(1*sqrt(640)))/(((-3*sqrt(8) - sqrt(8)) + sqrt(8))*4 + sqrt(32)*2).
-sqrt(7)/16
Simplify -1*(-5 + (sqrt(1300) - (sqrt(1300)*-2 + 1 - sqrt(1300))) + (sqrt(1300) - (sqrt(1300) + 5*(4*sqrt(1300) + sqrt(1300)))**2))*4.
-200*sqrt(13) + 3515224
Simplify (((sqrt(304) - 2*sqrt(304))**2 + (sqrt(190) + sqrt(190) + sqrt(190) + (2*sqrt(190) - sqrt(190)))/sqrt(10) + 2)*6 + 0)*1 + -3.
24*sqrt(19) + 1833
Simplify (-4 + (sqrt(1872) - (-2 + sqrt(1872))) + -1 + 5 + sqrt(39)/(sqrt(432) - (sqrt(432) + 1*sqrt(432)) - sqrt(3)) + -5 + 2)**2.
2*sqrt(13)/13 + 14/13
Simplify (3*(-4 + (-1 + sqrt(605) + -1 - (-4 + sqrt(5) + -1)*6)) + -5)**2.
2010*sqrt(5) + 5614
Simplify 5*2*((4*(sqrt(432) + 2)*-2)**2 - (sqrt(432)*-1 + -4 + 3)**2).
30480*sqrt(3) + 274710
Simplify (-1*(sqrt(1539) + (sqrt(1539) - (3 + 4 + sqrt(1539))) + sqrt(1539) + ((0 + sqrt(1539))*2 - sqrt(1539)) + sqrt(1539)))**2 + -2.
-504*sqrt(19) + 24671
Simplify 4*(-4 + sqrt(847) + -4 + (sqrt(847) - (sqrt(847) + (sqrt(847) + sqrt(847) + 0 - sqrt(847)))) + sqrt(847) + 5)**2*6*-2.
-41088 + 3168*sqrt(7)
Simplify (2 + 5 + (1*sqrt(99))**2)*4 - (5 + -1 + sqrt(1584) - sqrt(1584)*2*-2)**2.
-39192 - 480*sqrt(11)
Simplify (-3 + -2*sqrt(252) + 5 + -5 + sqrt(252)*-3*2 + -3 + -1*sqrt(252) + 3)**2.
324*sqrt(7) + 20421
Simplify (4 + (sqrt(272) - (sqrt(272) - ((sqrt(272)*-2 - sqrt(272)) + -2) - sqrt(272))) + (sqrt(272) - sqrt(272)*1)*-6 + 1 + -5 + 5 + sqrt(272)*1)**2.
-24*sqrt(17) + 281
Simplify (-4*(-3 + 3 + (sqrt(3) - sqrt(6)/sqrt(2))) + 5 + (0 + (sqrt(192) + 1)*-1)*4)**2.
-64*sqrt(3) + 3073
Simplify -6*-4*((1*(sqrt(300) + sqrt(300)*-2) - -3*(sqrt(300) + -2)) + (-4 + sqrt(300) + 2 + sqrt(300) - sqrt(300)) + -4).
-288 + 720*sqrt(3)
Simplify -6*(5 + (-2 + (sqrt(117) - (-4 + sqrt(117) + 2*sqrt(117)))*-4)**2)*-2*2.
-20736*sqrt(13) + 187608
Simplify 4*(6*6*(sqrt(88)/(sqrt(8)*1) + sqrt(33)/sqrt(3)*4 + -2 + sqrt(11) + (-2 + sqrt(11))*6))**2.
-1741824*sqrt(11) + 9227520
Simplify (5*(sqrt(242) + (sqrt(242) + (sqrt(242)*-1 - sqrt(242))*-4 - sqrt(242))) + -5 + 4)**2 + 2 + 2.
-990*sqrt(2) + 490055
Simplify (-1*sqrt(208) + -5 + sqrt(208))**2*-1 - ((sqrt(208) - (-3 + sqrt(208)))*-2*3)**2.
-349
Simplify ((6*(sqrt(250) + sqrt(250) + -2*sqrt(250)))/(sqrt(5)*-1*-3) - 2*(sqrt(50) - (sqrt(1250) + -4))*-6)**2.
-23040*sqrt(2) + 117504
Simplify (1 + sqrt(1100) + 1 + (sqrt(1100)*2 - sqrt(1100)) - (-4 + 2*sqrt(1100))*1)**2 + 4.
40
Simplify (-3 + (-4*(1 + sqrt(432)*1 + (-1*(-4 + sqrt(432) - sqrt(432)) - sqrt(432)))*3)**2)*5.
17985
Simplify (-4 + -5*-4*(sqrt(612) - (sqrt(612) + (sqrt(612) + 1)**2)) - (-3 + -4*(-2 + -1 + sqrt(612) + sqrt(612))**2))*-5.
2640*sqrt(17) + 12165
Simplify 2*((sqrt(70)/((sqrt(110) + sqrt(110)*1)/sqrt(11) - sqrt(10)))**2*-1 - (5*(-1 + sqrt(700) + 5))**2).
-35814 - 4000*sqrt(7)
Simplify (-4*((sqrt(7) - sqrt(28)) + 1 + -2))**2 + (3*sqrt(21))/sqrt(3) + sqrt(252)*-1 + -2.
29*sqrt(7) + 126
Simplify (6*(1 + 1*(-4 + -2*-1*2*sqrt(2448) + -5)))**2.
-27648*sqrt(17) + 1412352
Simplify (sqrt(567) - (sqrt(567) + sqrt(567) + 0 + -2) - (2 + 0 + sqrt(567)))**2 + -4 - -3*((sqrt(77) - (sqrt(77) - sqrt(77)*-2))*-4)/(-2*sqrt(176)).
-3*sqrt(7) + 2264
Simplify (sqrt(1872) + ((sqrt(1872) - (1 + sqrt(1872))) + sqrt(1872) + 1)**2)*3 - ((sqrt(1573) + 2)**2 + (sqrt(13) + (0 + sqrt(13))**2)*-4).
-4*sqrt(13) + 4091
Simplify (2*sqrt(121)*-6*5)/(sqrt(55)/(sqrt(40)/sqrt(8))*-1) + -1.
-1 + 60*sqrt(11)
Simplify (-3*(sqrt(210) + sqrt(210)*-1 + sqrt(210))/sqrt(7)*3)/(sqrt(108)/sqrt(2) - (sqrt(6) - sqrt(726)*4)).
-9*sqrt(5)/46
Simplify (((sqrt(65)*-1 - sqrt(65))*-2 - sqrt(65))/(sqrt(125)*-1) - -3*(5 + 1*sqrt(468) + sqrt(13)))**2.
612*sqrt(13) + 140877/25
Simplify 3*(3 + 2 + (sqrt(98)*-1)**2*4 + sqrt(98))*4*-1.
-4764 - 84*sqrt(2)
Simplify ((2*sqrt(121) - sqrt(121))*-5)/(sqrt(539) + (sqrt(539)*-2 - sqrt(539) - sqrt(539))) - ((sqrt(1100) - sqrt(1100)*-1) + 5 + sqrt(1100)*-3*5).
-5 + 2735*sqrt(11)/21
Simplify (-2 + ((2 + 5*(sqrt(272) - (sqrt(272) + 1)))*1)**2 + -5)*-6*-2.
24
Simplify (-5*sqrt(80)*-2)**2*2 - (((sqrt(405) + -2)*3)**2 + 3).
324*sqrt(5) + 12316
Simplify -1 + ((sqrt(180)/sqrt(3) - sqrt(15)) + -2*sqrt(375))/((1*(sqrt(405)*-1 + sqrt(405) + sqrt(405)) + sqrt(405))*4).
-1 - sqrt(3)/8
Simplify (((sqrt(192)*1)/sqrt(4))/(sqrt(18) - -2*sqrt(18)))/(1*(sqrt(40)/(1*sqrt(5)) - sqrt(64)/(-1*sqrt(8)))).
sqrt(3)/18
Simplify (sqrt(27)*-4*-1 - 3*sqrt(2700))/(sqrt(324)*2*-4*2).
13*sqrt(3)/48
Simplify -6*((sqrt(195)/sqrt(5)*-4)/(sqrt(363) + -5*sqrt(363)) + 0).
-6*sqrt(13)/11
Simplify -1*sqrt(102)/sqrt(726)*-4 - ((sqrt(612) - (2 + sqrt(612) + 0)) + 4).
-2 + 4*sqrt(17)/11
Simplify ((-1 + sqrt(320) + 1 + 2 + 5 + sqrt(320)*1 + -5)*-2 + -4)**2.
512*sqrt(5) + 5184
Simplify (1*sqrt(3000)*2*-5)/(sqrt(1210) - ((sqrt(1210) - sqrt(1210)*1) + sqrt(1210)) - (sqrt(10) + 6*(sqrt(10) - sqrt(10)*3))).
-100*sqrt(3)/11
Simplify ((sqrt(65)*4 - sqrt(65))*1 + ((sqrt(65)*-4 - sqrt(65)) + sqrt(65) - sqrt(65))*5 + sqrt(65))/(sqrt(20) - sqrt(100)/sqrt(5) - sqrt(30)/(sqrt(6)*1)).
21*sqrt(13)
Simplify 1*(-5*((-2*sqrt(513))/((sqrt(54)/sqrt(2))/sqrt(9)))**2 + (sqrt(19) + -4*-2*sqrt(19) - (-3 + sqrt(19)*3))**2*-6).
-7578 - 216*sqrt(19)
Simplify (sqrt(432) + -1 + sqrt(432) + 4 + -2)**2 - (sqrt(1800)*1)/(sqrt(72)/sqrt(3)).
43*sqrt(3) + 1729
Simplify (3*-5*(sqrt(605) - (-1*sqrt(605) + 1))*-2*4*-3)**2.
-5702400*sqrt(5) + 313761600
Simplify (-6*(sqrt(220) + sqrt(55))/sqrt(5) - ((sqrt(396) + -1)*-3)**2)*2 + -1.
-7147 + 180*sqrt(11)
Simplify 1*(2 + (-4 + 5 + (sqrt(475) - -3*sqrt(475)) + sqrt(475) + 1 + 1)**2).
150*sqrt(19) + 11886
Simplify (-6*6*(-5 + 2 + (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100))*2 + -5 + 2*sqrt(1100) + (0 + sqrt(1100) + 1 - sqrt(1100))))**2.
-1451520*sqrt(11) + 91301904
Simplify ((6*sqrt(168)*-2)/(sqrt(7) + sqrt(448)))/(5*(2*sqrt(32) - sqrt(96)/(sqrt(12)*-1))).
-4*sqrt(3)/75
Simplify 0 + | {
"pile_set_name": "DM Mathematics"
} |
= 92 + z. List the prime factors of n.
59
Let u = 15549 - 8187. What are the prime factors of u?
2, 3, 409
Let s(h) be the second derivative of h**5/20 - 5*h**4/12 + h**3/2 + h**2/2 + 10*h. Let p be s(6). Let z = p + -15. What are the prime factors of z?
2, 5
Suppose -37310 = 429*s - 443*s. List the prime factors of s.
5, 13, 41
Let k(u) = u**2 - 10*u - 35. Let s be k(17). Let x = s + -84. Suppose 4*o = -3*d + 200 + 12, x = 5*d + 3*o - 346. List the prime factors of d.
2, 17
Let d(f) = f**2 - 2*f - 832. Let j be d(0). Let k = -447 - j. What are the prime factors of k?
5, 7, 11
Let s(p) = 5*p**3 - 44*p**2 + 23*p + 34. Let c(m) = -11*m**3 + 87*m**2 - 47*m - 69. Let h(k) = -3*c(k) - 7*s(k). List the prime factors of h(23).
2, 19
Suppose -3*h - 12 - 18 = 0. Let q(z) = z**3 + 12*z**2 + 20*z + 3. Let w be q(h). Suppose -2*m + 4*m = 5*n + 207, -m + 102 = -w*n. List the prime factors of m.
3, 37
Let q be (-695162)/104 - ((-3)/(-4))/(-3). List the prime factors of q/(-4) + 5 + -10.
2, 7, 17
Suppose -14*y + 16*y = 3806. Let x = y - -281. Suppose x + 300 = 12*m. What are the prime factors of m?
3, 23
Let n(q) = 3*q**3 - 15*q**2 - 6*q + 34. Suppose 81*d = 42*d + 390. What are the prime factors of n(d)?
2, 11, 67
Let g(h) = -h**3 + 84*h**2 + 185*h + 20. List the prime factors of g(85).
2, 3, 5, 71
Let q(g) = 11*g**2 - 13*g + 61. Let z be q(8). Suppose -r - 26 = -z. What are the prime factors of r?
5, 127
Let s(u) = -u**3 - 16*u**2 - 11*u + 71. Let n be s(-15). Let l(g) = g**3 - 11*g**2 + 5*g + 75. What are the prime factors of l(n)?
2, 5, 13
Suppose -18 = -19*l + 10*l. What are the prime factors of (-16)/(-10)*-185*(-3)/l?
2, 3, 37
Suppose 2*k + l = -3*l - 2, -13 = -5*k - l. Suppose k*x - 4*x + 408 = g, -g - 408 = -x. Suppose 0 = 4*a - x + 36. List the prime factors of a.
3, 31
Suppose 434119 - 527722 = -75*g + 1078047. What are the prime factors of g?
2, 73, 107
Suppose 0 = -2*q, -3*t - 5*q + 1008 = -6*t. Let a = 27 - t. What are the prime factors of a?
3, 11
Let x be (1 + (-20)/12)/((-2)/21). Let m = -12 + x. Let s(a) = a**2 - 4*a + 14. What are the prime factors of s(m)?
59
Suppose 181 = 5*h - 344. Suppose -d + h + 1 = -4*g, d - 118 = g. Suppose 0*s + 96 = 4*s - 2*m, -5*s = -2*m - d. What are the prime factors of s?
2, 13
Suppose -2*s = -0*s - 3862. Suppose 9*l - 1453 - s = 0. What are the prime factors of l?
2, 47
Suppose 4*k - 332 - 108 = 0. Let a = -1560 + 1629. Let h = k - a. List the prime factors of h.
41
Suppose -106*t - 1152 = -114*t. Let b = t + -40. List the prime factors of b.
2, 13
Let l = -12275 - -20441. List the prime factors of l.
2, 3, 1361
Let x(h) = -40*h**2 - 2*h + 1. Let o be x(2). Let a = -228 - o. Let b = 130 + a. What are the prime factors of b?
5, 13
Suppose 0 = 281*a - 273*a - 32. Suppose 4*i + o = 1737, a*o - 934 = 5*i - 3079. List the prime factors of i.
433
Let v(k) = 2*k + 319. Let w be v(57). Suppose 4*h - 3734 = -1222. Let q = h - w. What are the prime factors of q?
3, 5, 13
Suppose -112*z + 1863 = -310841. List the prime factors of z.
2, 349
Let o = -54 - -54. Let p = -60 + o. Let z = p + 346. What are the prime factors of z?
2, 11, 13
Let l = 190 - -1153. Let z = l - 997. What are the prime factors of z?
2, 173
Suppose 33*a - 31*a = -22. List the prime factors of a/((-1208)/172 - -7).
11, 43
Suppose -r = r - b - 12779, -3*r + 4*b + 19166 = 0. What are the prime factors of r?
2, 3, 5, 71
Suppose -15 = z - 4*z. Let d(u) = u + 87. Let k be d(-34). Suppose -4*a + z*a = k. What are the prime factors of a?
53
Suppose 31*w - 129 = 28*w. Suppose -w*r + 40*r = -24. Let g = r + -4. What are the prime factors of g?
2
Suppose 0 = -3*i - w + 13, -4*i - 6*w + 32 = -w. Suppose 0*m + 15 = i*m. Suppose -m*l - 3*j + 81 = -j, -2*l + 4*j = -42. What are the prime factors of l?
17
Suppose -4*a + 175712 = -4*v, 31*a = 27*a + 3*v + 175719. List the prime factors of a.
3, 5, 29, 101
Let j = -32 + 39. Suppose -j*i + 6*i = 3*s + 353, 0 = 4*s + 2*i + 474. Let r = 204 + s. What are the prime factors of r?
2, 11
Let c(v) = -8*v**2 - 32 - 2*v**2 + 39*v + 5*v**3 - 2*v**3 + v**2 - 4*v**3. List the prime factors of c(-14).
2, 3, 67
Suppose -15797 = -4*a + s, -9*s = 2*a - 11*s - 7912. List the prime factors of a.
3947
Suppose -5*j + 126 = -5*g - 119, -j - g = -51. Suppose -2*r + j = 4*o - 174, -r = 3*o - 115. Let c = r - 21. List the prime factors of c.
5, 17
Let u(d) = 906*d**3 - d**2 - 5*d + 4. List the prime factors of u(2).
2, 7, 11, 47
Suppose 0*b - 5*b + 12 = -3*j, -4*j - 16 = -2*b. Suppose b*d - 21*d + 2289 = 0. List the prime factors of d.
109
Suppose 14295 - 1825 + 3093 = p. List the prime factors of p.
79, 197
Let l be 8/(-3)*(-3)/2. Let r = -281 + 297. Suppose -l*a - r + 80 = 0. What are the prime factors of a?
2
Let s(n) = 4736*n + 2855. List the prime factors of s(7).
36007
Let r(d) = -2*d**3 - 15*d**2 + 8*d - 30. What are the prime factors of r(-13)?
3, 5, 23
Let b(c) = -c**3 + 7*c**2 + 7*c - 14. Let o be b(7). Suppose -4*l = 7 - 63. Suppose l*h - o = 7*h. What are the prime factors of h?
5
Let f(c) = 433*c**2 + 53*c - 271. What are the prime factors of f(10)?
43, 1013
Let p = 9244 + -3091. What are the prime factors of p?
3, 7, 293
Let d = 4033 + 8782. List the prime factors of d.
5, 11, 233
Suppose 0 = 3*r - 0*r - 13229 - 44389. List the prime factors of r.
2, 3, 11, 97
What are the prime factors of 10452 - (135/9 + -7)?
2, 7, 373
Suppose -7*y = -16*y + 61740. Suppose -y = -17*h + 1453. What are the prime factors of h?
3, 163
Suppose -p + 3*i = i + 9, -5*p = 4*i + 73. Let h be (-120)/(-21)*(5 + 39/(-26)). Let j = h + p. List the prime factors of j.
7
List the prime factors of (-57618)/(-4) - 45/(-18).
14407
Suppose 0 = 4*z + 152 + 1940. Let w = z + 1395. List the prime factors of w.
2, 109
Suppose -2*y - 2 = -o - 8, 0 = 2*y - 2*o - 4. Suppose -4*a + 1501 = 3*b, 9*a - y*a - 1879 = -b. What are the prime factors of a?
2, 47
Suppose -8450 = -5*q - 5*a, 4*q + 0*q - a = 6770. List the prime factors of q.
2, 3, 47
Let a(x) = -x**3 + 31*x**2 + 66*x + 11. Let r be a(33). Suppose -4*c - 5*s + 4234 = 0, 0 = 3*c + 14*s - r*s - 3174. List the prime factors of c.
2, 3, 11
Let a = -4 - -42. Let o be (-349)/(-7) - 3*(-5)/105. Let d = o - a. What are the prime factors of d?
2, 3
Let m be (60/6)/((-4)/2). Let l(u) = u**3 + 6*u**2 + 4*u - 1. Let r be l(m). Suppose -k + r*z + 7 = -12, -3*z - 3 = 3*k. List the prime factors of k.
3
Let s = 932 - 1335. Let r = s - -795. List the prime factors of r.
2, 7
Suppose -30*z + 165281 + 63409 = 0. What are the prime factors of z?
3, 7, 11
Let i be (15/2)/5 - (-30433)/26. Let a = -740 + i. What are the prime factors of a?
2, 3
Suppose -68237 - 257313 = -25*o. What are the prime factors of o?
2, 17, 383
Let p(k) be the second derivative of -3*k**2 + 1/2*k**3 - 7/6*k**4 - 3/20*k**5 + 20*k + 0. What are the prime factors of p(-6)?
2, 3, 5
Let k(u) = u - 12. Let x be 3*(2 + 4) + 0. Let l be k(x). Suppose -2*r - j + l*j = -258, -4*r - 3*j = -542. List the prime factors of r.
2, 67
Suppose 19 = 5*y - 1, -4*y - 3578 = 3*m. Let q = -853 - m. List the prime factors of q.
3, 5, 23
Suppose 0 = -62*j + 88*j - 49556. List the prime factors of j.
2, 953
Suppose 4*y = 1381 + 9791. Suppose -5*j - 3*l - y = -8*j, 4*l = -5*j + 4664. List the prime factors of j.
2, 233
List the prime factors of 52/(-286) + (991504/44 - 0).
2, 19, 593
Let m = 5577 + -3833. What are the prime factors of m?
2, 109
Let d(n) = 78*n**2 - 13*n - 41. List the prime factors of d(-3).
2, 5, 7
Let p(n) = -11*n**3 - 176*n**2 - 46*n + 31. What are the prime factors of p(-19)?
2, 13, 17, 29
Suppose 3*p = 2*g - 11786, 17712 = 3*g + 2*p - p. List the prime factors of g.
2, 13, 227
Suppose 0 = -i + 482 + 2591. List the prime factors of i.
7, 439
Let z(s) = 3*s**3 + 6*s**2 - 3*s - 5. Let n be 10/(-90)*3 - (-16)/3. What are the prime factors of z(n)?
5, 101
Let p = -25 + 31. Suppose -p = -5*y - 4*n, 0*y + 4*n + 2 = -y. Suppose -y*z = -210 + 2. List the prime factors of z.
2, 13
Suppose 0 = 4*o + 39 - 27. Let u be o*(4 + -3) - 47*5. List the prime factors of (u/(-3))/(140/15 + -9).
2, 7, 17
Let v = -402 - -406. List the prime factors of (60/(-14))/(-1*v/224).
2, 3, 5
Let m be 284 + -10*(-1)/(-2). Let c = -145 + m. List the prime factors of c.
2, 67
Let z(j) = -j**2 - | {
"pile_set_name": "DM Mathematics"
} |
)/5161?
3/13
What is (-30)/14*119*(-178)/4539?
10
Evaluate ((-200)/138)/(-5)*(-981)/(-654).
10/23
What is 70/35*(-1)/(-4)*418/55*-5?
-19
What is the value of (828688/465080)/(2/55)?
49
Calculate (7/(-1232)*-28)/(((-1869)/(-18))/89).
3/22
Evaluate 7/((-70)/(-100))*(-117)/(-546)*-35.
-75
Calculate 123/((-3813)/124)*243/12.
-81
((10274/1868)/(22/14))/(-2)
-7/4
(-29)/(290/40)*-66*(-2)/(-16)
33
What is ((7791/7)/53)/((-14)/(-4)*1)?
6
What is (-763)/(-109)*(-13)/(1352/16)?
-14/13
What is the value of (((-465)/60)/(-31))/((6/(-259))/(808/(-707)))?
37/3
What is ((-2)/(-40))/((-28579)/86308580)?
-151
Evaluate (1102/29)/(7*14/(-49)).
-19
What is the value of 11*35/1386*(-6)/(-30)?
1/18
Calculate ((-3)/2)/((64/(-80))/4)*-6.
-45
What is the value of ((-57095)/(-9015))/((-2)/(-12))?
38
What is the value of (0/(774/18))/9?
0
Evaluate (466/(-1398))/(6/414).
-23
What is the value of ((-1)/9*1)/((-28252)/(-24216))?
-2/21
(-48852)/2832*6/(-69)*(-152)/(-3)
76
What is the value of (-33)/(-198)*-9*(52/30)/1*40?
-104
What is (471/43960*1225)/((-6)/(-16))?
35
Calculate -5*(-10)/125*(-542)/542.
-2/5
Evaluate ((-24232)/(-1165))/((-1)/(-5)*-2).
-52
What is ((-30)/(-3)*(-118)/2950)/((-48)/(-420))?
-7/2
((3192/(-171))/((-315)/27))/((-12)/(-2))
4/15
What is the value of ((-7528)/(-10351))/((-180)/22)?
-4/45
What is (15/(-300))/((-20)/550)?
11/8
6/7*(11840/14208)/(-1*5/(-28))
4
What is the value of (25/2)/((-163)/(-652))?
50
Evaluate ((-108)/24)/(((-6)/20)/(154/(-55))).
-42
Evaluate ((-120)/228)/((25515/648)/63).
-16/19
What is the value of (-8)/(-128)*8*6/(-4)*744/(-9)?
62
Evaluate (2/8)/((-114)/110124*-345).
7/10
Calculate (-296390)/681697*(3/(-6)*2)/((-2)/(-6)).
30/23
Calculate (-1768)/39*19/((-456)/18).
34
Calculate ((-2520)/48)/(-35)*-14.
-21
What is the value of (-11410)/1630*(-16)/(-6)*(-135)/(-17220)?
-6/41
((-684)/2280)/((-21)/7)
1/10
Evaluate (-42)/(-14)*1/(-20)*-52*4/(-6).
-26/5
What is ((-2)/(-19))/(7188/136572)?
2
What is the value of 54/90*17010/2673?
42/11
Evaluate 7573/68157*(-32*1)/1.
-32/9
-4*(-8)/336*(-777)/444
-1/6
What is (-22)/(-3)*(-12)/(-16)*28398/(-4733)?
-33
Evaluate ((-58230)/7764)/(18/8).
-10/3
Calculate -1*-57*66/418*1/(-9).
-1
((-45)/6)/(-5)*(-3)/(138/2944*32)
-3
5/679*2646/945
2/97
Evaluate (-2*(-11)/(-2))/(-62)*1308/2398.
3/31
What is 19/(266/(-77))*1/3*2?
-11/3
16/(1952/305)*8/(-10)*-2
4
What is ((212/(-3))/(18/(-27)))/((-4094)/2047)?
-53
Evaluate ((-9486)/527)/(((-1)/3)/(10/105*7)).
36
Calculate ((-155)/25)/(17/85).
-31
Evaluate 14/2*(491/14239)/((-7)/(-2117)).
73
What is the value of ((-248)/155)/(38/(-285))?
12
What is the value of 7/28*31*(-88)/22?
-31
What is the value of (3*(-1)/2*-2)/((-20688)/(-89648))?
13
Calculate -11*(-162)/1485*5/(-3675)*-25.
2/49
-14*(-4964)/21896*23
73
What is (30/(-20))/((-336)/588)?
21/8
-1*1*(-656820)/(-426933)
-20/13
(8/(72/(-15)))/(((-2)/(-60))/((-486)/1350))
18
What is 6*((-55)/(-5))/(92/46)?
33
Evaluate -7*4*(12/(-56))/(7*42/343).
7
((-624)/(-384))/((-9)/216)
-39
Calculate (((-5)/(-10))/((-42)/20))/(2/(72/(-6))).
10/7
(1249/(-6245))/(11/(-35))
7/11
What is the value of (3/(-18))/(((-2745)/189)/61)*(-8)/(-140)?
1/25
Calculate (((-3)/(-6))/1)/(104/104).
1/2
Calculate -3*(-8)/1278*(-2007)/153870*-23.
2/355
49293/32862*(640/112)/(-2*1/1)
-30/7
What is 64*54/315*-5*(105/12)/(-5)?
96
What is (-17)/((-408)/168)*(-25)/140*-4?
5
Calculate 44/((9568/207)/52)*-1*(-2)/(-12).
-33/4
What is (4/(-3))/((-6)/(-45))*3/((-180)/(-210))?
-35
What is ((-1548)/(-27))/4*33/(-11)?
-43
What is the value of ((-7)/63)/((-3)/(-57))*3*2034/(-226)?
57
Calculate -25*(9/(-72))/((-3)/24).
-25
Evaluate ((-3)/(-1)*((-783)/2106)/(-29))/1.
1/26
Evaluate 17220/(-205)*((-2)/4)/(252/(-56)).
-28/3
Evaluate ((-66)/(-10))/(2497/1135).
3
64/7*(-16835)/4810
-32
((-36)/105)/(47043/146356)
-16/15
Evaluate ((2/(-5))/((-68)/(-85)))/(1369/(-30118)).
11
What is the value of ((-604)/((-10419)/69))/(4/78)?
78
What is the value of (-31)/3*(90/4725*126)/((-8)/(-10))?
-31
Evaluate 2/(((-156)/(-162162)*-21)/(2/(-6))).
33
What is (348/9)/((5850/(-135))/(-65))?
58
Evaluate 35*(-12)/(-504)*12/(-4).
-5/2
Calculate (2121/25452*4*2)/(1/(-60)).
-40
Evaluate ((-34)/(-374)*77)/(-1).
-7
What is (86/1161*-9)/((3*3/(-12))/18)?
16
What is the value of ((-39)/51)/(381/(-6477))?
13
What is the value of (35/(-5600)*-112)/(2/(-7)*133/76)?
-7/5
What is the value of (((-4)/7)/(8/28))/(-11*(-48)/2376)?
-9
Evaluate (-260)/(-26)*55/(-50).
-11
What is the value of 58/3*((-39933)/102)/87?
-87
Calculate ((-6)/(-7)*256/(-1152))/(24/28).
-2/9
(((-3)/27)/((-24)/(-235296)*86))/(2/(-6))
38
Calculate (3250/(-5200))/(3/(-36)*-1).
-15/2
What is the value of (12/231)/((-1924)/(-1703702))?
46
What is the value of (((-25)/15)/(1/(-9)))/(11*75/2200)?
40
Evaluate ((-1393)/(-5572))/((-2)/536).
-67
(18/21*(-336)/(-64)*-5)/(3/6)
-45
What is the value of (-7044)/(-15262)*(1664/12)/1?
64
Evaluate (84/(-40))/1*12*(-32)/(-896).
-9/10
5508/(-35802)*27*-13
54
Evaluate ((-376)/1786)/(19/361).
-4
Calculate (-3)/(((15/3)/(-40))/(110/660)).
4
Evaluate ((-960)/3200)/(5/50*3*2).
-1/2
What is (-2968)/(-159)*165/1540?
2
-1*3/(-1)*((-1210)/(-121))/(6/10)
50
Evaluate (-31*244/(-1891))/((-6)/4).
-8/3
What is the value of (135/(-240))/(3/4)*-52*26/95316?
1/94
((-5)/((-330)/(-36)))/(1192/(-1639))
3/4
What is the value of (-2)/((-114)/(-54549)*198)?
-29/6
((78432/(-2964))/(-344))/(4/(1768/6))
17/3
40/(760/(-513))*1
-27
Calculate ((-3630)/2178)/((-5)/(-348)).
-116
What is the value of 135201/(-5302)*(-4)/(-10)?
-51/5
(570/(-8))/(-5)*(-3)/((-261)/928*8)
19
What is the value of ((-528)/(-18))/(-11)*(-25)/600?
1/9
Evaluate (-34256)/4282*495/(-40).
99
Calculate ((-390)/(-90))/(35/(-105)).
-13
What is the value of ((-117)/(11232/(-160)))/((-1)/33)?
-55
What is 6400/(-1664)*208/(-440)?
20/11
What is 3*(-31)/(-620)*-2?
-3/10
What is the value of (19966/(-11324))/((-16)/(-608))?
-67
What is the value of 195*(-2)/24*48/30?
-26
Calculate 39/104*-2*(-70)/21*(-204)/(-5).
102
6*(12544/3087)/(-128)
-4/21
What is 2/323*33041/10434?
1/51
What is the value of 1/(((-32)/24)/2*(-1)/35*-45)?
-7/6
Calculate (-768)/864*(162/156)/(-3).
4/13
Evaluate 24/(-5)*94500/(-7560).
60
Calculate ((-6228)/(-519))/(-1*8/(-18)).
27
Calculate ((-12)/486*27*(-1)/(-5))/1.
-2/15
What is the value of (-28)/161*2408/(-62608)?
2/299
Calculate ((-9*(-15)/(-945))/((-2)/7))/(14/(-192)).
-48/7
Evaluate ((-35)/((-525)/(-990)))/((-72)/36*(-9)/24).
-88
Evaluate (-200)/45*9/2.
-20
What is the value of ((12/8)/1)/(-12*21/8400)?
-50
Calculate (2916/756)/(((-18)/63)/2).
-27
What is 12/135*(-54)/(-4)?
6/5
What is 6965/9751*12/15?
4/7
Calculate -6*(131/4585*-7)/(246/10).
2/41
What is (129/(67338/(-464)))/((-2)/54)?
24
What is 5/(-2)*546840/7350*(-5)/(-15)?
-62
Evaluate 12*(-5)/(-1540)*1232/528.
1/11
24144/(-4527)*(-14)/(-35)*(-75)/(-8)
-20
What is the value of 1729/(-182)*2484/(-342)?
69
What is (-256)/2752*(-11)/(-14)*(-10)/(-110)?
-2/301
Calculate 3*(-8)/(-45)*-12*(-15)/(-80).
-6/5
What is the value of (((-8)/210)/((-1320)/(-825)))/((120/(-28))/5)?
1/36
Calculate (2/4)/(((-59)/((-9558)/(-36)))/((-40)/(-42))).
-15/7
Calculate (6/80)/((-126)/70*1).
-1/24
What is the value of (((-5)/45)/((-1)/2))/((1275/(-90))/85)?
-4/3
What is (-96)/(-48)*588/42?
28
Evaluate (1680/(-672))/(220/(-192)).
24/11
What is ((-188)/(-7050))/(249/(-415))?
-2/45
Evaluate ((252/(-10))/(-3))/((-6276)/52300).
-70
(4/8)/(21/72*-1*(-132)/3080)
40
What is (1/((-770)/20))/(9*7/(2646/72))?
-1/66
What is (((-52)/78)/(-1))/(-2)*1212/4?
-101
((-15018)/(-2503))/((-11)/(660/8))
-45
(-19786)/(-5327)*(-14)/24
-13/6
Evaluate ((273/18)/(-13))/(59/1062).
-21
Evaluate ((-48)/14)/(299/(-598)*2/(-14)).
-48
(640/64*(-18)/(-105))/((124/(-7))/(-2))
6/31
Evaluate -33*(-2)/(-16)*(-4185)/1674*4/15.
11/4
What is the value of ((-60)/((-156)/(-13)))/((-5)/(25/10))*-14?
-35
((-399)/210)/((-33)/(-330))
-19
Calculate ((-672)/384)/((-63)/(-1728)).
-48
What is (-30*171/(-225))/((-15)/(-100)*-4)?
-38
Calculate (2/98)/((-5)/25*(-10)/280*8).
5/14
Calculate (-203)/14*((-4)/(-14))/((-40)/280).
29
What is the value of ((-6)/57)/((-26)/5434*11)*(-162)/12?
-27
What is 1830/4*-38*45/(-12825)?
61
Evaluate (588/21)/((2736/646)/(-18)).
-119
Evaluate ((-3)/(-110))/((-185)/1850).
-3/11
Calculate 6/(-5)*83*1960/8134.
-24
What is the value of (5/12 | {
"pile_set_name": "DM Mathematics"
} |
(0 - 1 + 3)*(-4 + 1 + 2)*(i - 3*i + 7*i).
-10*i
Expand (0 - 1 + 0)*(-5*k - 3*k + 2*k) + 0*k + k - 2*k.
5*k
Expand (-5*c**3 + 6*c**3 - 3*c**3)*(0*c + 2*c - c) + 3*c**4 + 3*c**3 - 5*c**3 - 3*c**3.
c**4 - 5*c**3
Expand 2*j**4 + 0*j**3 + 0*j**3 + (-j + j + 2*j**2)*(7*j**2 + 7*j**2 + j**2).
32*j**4
Expand (2*p + p - 2*p)*(-2*p + 3*p + 0*p) - 2*p**2 + p**2 + 3*p**2 + 0*p**2 + 0*p**2 - 2*p**2 + (p + 2 - 2)*(-3*p - p + 2*p) + 3*p**2 - 1 + 1.
2*p**2
Expand 1 - 2*t - 1 + (6 - 6 + 10)*(t - t - t).
-12*t
Expand (-4*g + 6*g + 0*g + (6 - 1 + 2)*(1 - 1 + g))*((2*g**3 + 0*g + 0*g)*(g + 2*g - 2*g) + 2*g**4 - g**4 + g**4 - 4 + 4 + g**4).
45*g**5
Expand (2*l + l**2 - 2*l)*(4 - 2 - 1)*(-1 + 1 + 2).
2*l**2
Expand (-3*d + 2*d + 3*d)*(-d - 2*d + d)*(d**3 - 2 + 2).
-4*d**5
Expand -c**3 + 0*c**3 + 2*c**4 + 0*c**4 - 4*c**4 + c**4 + c**4 + (2*c**3 - 3*c**2 + 3*c**2)*(-2*c + 6*c - 2*c) - 2*c**2 + 2*c**2 - c**4 - 2*c**4 + c**4 - c**4.
c**4 - c**3
Expand -u + 3*u**5 - 7*u**5 - 14*u**5 - 3*u**5 + 5*u**5 - u**5 + (-2*u + 0*u + u)*(4*u**3 - 4*u**3 - u**4).
-16*u**5 - u
Expand (4*r**2 + 2*r**3 - 4*r**2)*(-3 - 4 + 0)*(r**2 - 2*r + 2*r).
-14*r**5
Expand (-2 + 4 + 0)*(3*m**2 - 3*m**2 - 2*m**3) - 2*m**3 + m**2 - m**2 + (-1 + 1 + 2*m)*(-2*m**2 + 3*m - 3*m).
-10*m**3
Expand q**5 - 3*q**5 + 4*q**5 + (-q**4 - 3*q**4 + 5*q**4)*(2*q + q - 10*q).
-5*q**5
Expand (-2*p - 9*p + 4*p)*(0 + 3 - 1)*(-p + p + 2*p)*(p + 0 + 0).
-28*p**3
Expand c**4 + c - c + (-2*c**3 + 0*c + 0*c)*(3 - 3 + 3*c)*(1 + 3 - 6).
13*c**4
Expand (6 - 3 - 1)*(-5 + 3 - 1)*(-3 + 1 - 1)*(i - 4 + 4).
18*i
Expand (-2*o**3 + 2*o**3 + o**3)*(-o + 0 - 3 + 4).
-o**4 + o**3
Expand 5*r**2 - 5*r**2 - 3*r**2 + (2 - 3 - 3)*(3*r - 3*r + 2*r)*(0*r + 3*r - 4*r).
5*r**2
Expand (1 - 1 + 2*o)*(0 + 0 + 3*o**3) + 7*o**4 - 15*o**4 - 2*o**4.
-4*o**4
Expand (k**2 - 27 + 27 + 9*k)*(6*k**2 - 5 + 5).
6*k**4 + 54*k**3
Expand -l**3 - 20*l - 2*l**2 + 3 + 20*l + (-3*l + l + 0*l)*(0 + 0 + l**2) - 3*l**3 + 3*l**3 - 3*l**3.
-6*l**3 - 2*l**2 + 3
Expand (-6 + 1 + 4)*(1 - 6 + 4)*(l**2 + 4*l**2 - 3*l**2)*(-3*l + l + l).
-2*l**3
Expand (-4*x**2 - 3*x**2 + 5*x**2)*(4*x**3 - 4*x + x - 3*x**3).
-2*x**5 + 6*x**3
Expand (-4*k - 3*k + 3*k)*(6 - 3 + k - 2).
-4*k**2 - 4*k
Expand u**2 - u**2 - 6*u**4 + (3 - 3 - 2*u)*(-u**3 - 2 + 2) - 2*u**4 + u - u.
-6*u**4
Expand 0*b - 2*b + b + 3*b - 2*b - 2*b - 4*b + 2*b + 3*b + (-3 + 0 + 4)*(b - 7*b + 4*b) + (-2*b - 1 + 1)*(-11 - 2 - 7).
37*b
Expand -5*n**3 + 5*n**3 - 4*n**4 + (0*n + 0*n - 2*n**3)*(-3*n + 3*n + 2*n).
-8*n**4
Expand (0*o**2 - 4*o**2 + 6*o**2)*(-o**2 + 3*o**2 + 0*o**2) + 0*o**4 - 3*o**4 + 2*o**4 + 24*o**3 - 4*o**4 - 24*o**3.
-o**4
Expand 2*r**3 + r**3 - 2*r**3 - 2*r + 3*r**3 + 2*r + 4*r**3 + 3*r**3 + 0*r**3 + (0 + 1 - 2)*(2*r + r**3 - 2*r) - r**2 - r**3 + r**2.
9*r**3
Expand (0 + 2 + 0 + 0 - 2 + 0 + (3 + 0 - 2)*(4 - 2 + 0) + 0 - 1 + 4 + 2 - 2 + 1)*(4*p - 4*p - 2*p**4).
-12*p**4
Expand r**4 + 3*r**4 - 3*r**4 + (r + 5*r - 2*r)*(2*r**3 + r**3 - r**3).
9*r**4
Expand -5*x**2 + 4*x**2 - x**2 + (-2 + 2*x + 2)*(5*x - 5*x + 8*x).
14*x**2
Expand -3*c**2 + 3*c**2 + 3*c**2 + (-c - 1 + 1)*(-5*c - c + 4*c) + 0 + 0 - 2*c**2 - 3*c**2 - 3*c**2 + c**2.
-2*c**2
Expand i**3 - 4*i + 4*i + 111 - 111 + 15*i**3 + (-4*i**2 + 6*i**2 + 2*i**2)*(-2*i + i + 0*i).
12*i**3
Expand (-1 + 0 - 8)*((4 - 3 - 6)*(3*a + 0*a - 2*a) - 4*a + a - 5 + 4).
72*a + 9
Expand 3*g**5 - 5*g**5 + g**5 + (2*g**4 + 3*g - 3*g)*(-6*g - 7*g - 3*g).
-33*g**5
Expand -z - z + z + 4*z + 0*z + 0*z + 2*z - 2*z + 2*z + (-3 - 3 + 5)*(3*z - 2*z - 4*z).
8*z
Expand -2*i - i**3 + 2*i + (-5*i + 8*i - 3*i**2 + 5*i**2)*(-i + 2*i + 3*i).
7*i**3 + 12*i**2
Expand 14 - 28*b**2 - 14 - 5*b**2 - b**2 + 5*b**2 + (2*b + 2 - 2)*(-3*b + 4*b - 2*b).
-31*b**2
Expand 10*g - 10*g**3 - 12*g + 0*g + g**2 - 1 + 1 + g**3 + g + 2*g**3 - g + (-2*g**3 - 2*g + 2*g)*(0 - 5 + 3).
-3*g**3 + g**2 - 2*g
Expand (-p**3 + 0*p**3 + 2*p**3)*(-2 + 0 + 0) + (-2*p + 2*p**2 + 2*p)*(2*p - 3 + 3).
2*p**3
Expand (-5 + 2 + 5)*(-2 + 3*p - 2*p - 5*p).
-8*p - 4
Expand (-9*s - 4 + 4)*(0*s + 0*s + 2*s**2).
-18*s**3
Expand (2 + 2*y - 2 - 9)*(0*y**3 + y**3 + 0*y**3 + (-y**2 - 1 + 1)*(0 - 2*y + 0)).
6*y**4 - 27*y**3
Expand 1 + 2 - 5 - 3*r**3 - r**3 + 0*r**3 - r**3 + (2*r + 0*r + 0*r)*(3*r**2 - r**2 + 2*r**2).
3*r**3 - 2
Expand -90 + 90 - 6*n**3 + (-2 - 2 + 3)*(-2*n**2 + 2*n**2 + n**3) - n**2 + n**2 - n**3.
-8*n**3
Expand (-2*h + 5*h - h - 2*h**2)*(2*h + 2*h + 0*h)*(3 - 4 - 1).
16*h**3 - 16*h**2
Expand -865 - 56*o**5 + 865 - o**5 + 3*o**5 + 0*o**5 + (4*o**3 - o**3 - 5*o**3)*(-3*o + 3*o - o**2) - 2*o**4 + 2*o**4 + 2*o**5.
-50*o**5
Expand -2*o - 1 + 1 + 0 - 2*o + 0 + (-1 + 0 + 0)*(1 - 1 - o) + 3 - o - 3 + (3*o - 2*o - 3*o)*(2 - 6 + 3).
-2*o
Expand (111 + 163 - 348)*(-2*w**2 - 2*w**2 + 2*w**2).
148*w**2
Expand 0 + 4*w**3 - w**3 + 1 + (w**2 + 2*w**2 - 4*w**2)*(-w - w + 4*w).
w**3 + 1
Expand -6*j**4 + 7*j**4 + 5*j**4 + (1 - j**3 - 1)*(j - 2 + 2).
5*j**4
Expand (22*s - 73*s + 33*s)*(-2 + 3 - 2)*(-3 + 5 - 1).
18*s
Expand (0 - l + 0)*(-3*l + 3*l - 2*l**2) - 2*l**3 + l**3 + 3*l**3 + 6*l**3 - l**3 + 0*l**3.
9*l**3
Expand (-m + 2*m**2 + m)*(-4*m**3 + 2*m**3 + 0*m**3) + 17*m + 11*m**5 - 17*m.
7*m**5
Expand 0*q**3 - 3*q**3 + 2*q**3 + (-q - 3*q - 3*q)*(0*q + 2*q**2 + 0*q) + 3 - q**3 - 3.
-16*q**3
Expand (3 + 3 - 3)*(2*p - 2 + 2) + (-2 + 0 + 4)*(p + 0 + 0).
8*p
Expand (1 + 2 - 2)*(-a**5 + 3 - 3) + 6*a**5 + 4 - 4 + 9*a**5 - 4*a**5 + a**5.
11*a**5
Expand (-7*t + 15*t + 1 - 10*t)*(4 + 0 - 6)*(t**4 + t - t).
4*t**5 - 2*t**4
Expand s**5 + 0*s**3 + 0*s**3 - 4*s**4 + 4*s**4 + 3*s**5 + (-3*s + 2*s**4 + 3*s)*(-s + 3*s - 4*s) - 3*s**5 - 4*s**4 + 4*s**4.
-3*s**5
Expand (-3 - 2 + 29*f - 27*f)*(-f + 0*f + 3*f)*(-3*f + 6*f - 2*f).
4*f**3 - 10*f**2
Expand (37*x**2 - 37*x**2 - 8*x**3)*(-2 - 4*x + 2*x + x).
8*x**4 + 16*x**3
Expand 92 - 92 + 13*h**2 + (-2 - 2 + 6)*(5*h**2 - h**2 - 2*h**2).
17*h**2
Expand -2*g**3 + 6*g**3 - g**3 + (2*g + 2*g - 2*g)*(-2*g**2 - 2*g**2 + 3*g**2) - 5*g**3 + 4*g**3 + 0*g**3 - 3*g**3 - 2*g**3 + 2*g**3 + g**2 - g**2 - 2*g**3.
-5*g**3
Expand (4 - 1 - 2)*(-4*d**3 + 4*d**3 + 3*d**3)*(3*d - d**2 - 3*d).
-3*d**5
Expand (s + 2*s - 5*s)*(-2*s**3 + 0*s**3 - s**3 + (5*s**2 - 5*s**2 - s**2)*(0 + 0 + 2*s)).
10*s**4
Expand 0*a**4 + a**4 + 0*a**4 + 3*a**4 + 0*a**4 - 2*a**4 + (-2*a**4 + a - a)*(-4 + 2 + 6) - 4*a**3 - a**4 + 4*a**3.
-7*a**4
Expand (w - 4*w + 2*w)*(0 + 2*w + 0)*(-7 + 7 + 8*w**3).
-16*w**5
Expand (-32*b + 72*b - 38*b + 40)*(0*b - b - b)*(1 + 2 - 1).
-8*b**2 - 160*b
Expand (518*t + 71*t**2 - 518*t)*(t + 0 + 0).
71*t**3
Expand -8*w**5 - 19*w**5 + 35*w**5 + (3*w + 0*w - 5*w)*(-3*w**4 + 4*w**4 + w**4) + w**5 + 2*w**5 - w**5.
6*w**5
Expand 7*u**4 - u**4 - 2*u**4 + (-2*u + 4*u - u)*(2*u**3 + 0*u**3 - 4*u**3).
2*u**4
Expand -p**5 - p**5 - p**5 + (0*p**3 + 3*p**3 - 4*p**3)*(2*p - 2*p + p**2) + 2*p - p**5 - 2*p - 3*p**5 + 3*p**5 + p**5.
-4*p**5
Expand (4*p + p - 4*p)*((0 + 0 - 2)*(-2 + 3 - 2) + 1 + 3 - 3 - 1 + 0 - 1 + 0 + 1 + 1)*(-4 + 0 + 2).
-6*p
Expand (-19 - 17 + 32)*(1 - 2*t - 1 - t - 3*t + 2*t + (2 + 0 - 3)*(5*t - t - 5*t)).
12*t
Expand (7*d + 4*d - 5*d)*(8 + 4*d - 8).
24*d**2
Expand (-r - 6 + 6)*(-2*r**4 + 0*r**4 + 0*r**4) - r**5 + 0*r + 0*r.
r**5
Expand (3 + 2 + 1)*(3*i + 3 - 3)*(0*i + i - 2*i)*(-1 + 1 + 2*i**3).
-36*i**5
Expand 1 + 5*m - 5*m + 2*m + (3*m - m - m)*(2 + 0 + 1).
5*m + 1
Expand (-7*x + 56*x**4 + 7*x)*(3 - 3 + x + (1 - 1 + 2*x)*(1 - 1 + 2) - x + 3*x - 3*x).
224*x**5
Expand (0*q + 0*q - q**2)*(2*q - 3 + 3) + (-2*q**2 + 4*q**2 - q**2)*(-q + 2*q + q) - 3*q**3 + 6*q**3 - q**3.
2*q**3
Expand (0*o**5 - 3*o**5 + o**5)*(-2 + 0 + 13).
-22*o**5
Expand (16*h**2 + 7*h**2 - 3*h**2)*(3 + 2 - 3).
40*h**2
Expand o**3 + 3*o**3 - 6*o**3 + (4*o**3 - 5*o**3 - 2*o**3)*(3 - 5 - 1).
7*o**3
Expand 3*l - 2*l + 0*l - 2 - l + 2 + (l - 2*l + 0*l)*(3 - 4 + 2) + 5*l - 4*l - 3*l - 3 + 3 + 4*l + (0 + 0 - 2)*(0*l + 0*l - l).
3*l
Expand (4 - 2*a - 4)*(5*a**4 - a**4 - 3*a**4) + 0*a**5 - 2*a**5 + 0*a**5 - 7*a**5 + 4*a**5 + 2*a**5.
-5*a**5
Expand 17*r - 6*r - 30*r - 4*r + 3*r - r + (-r + 2*r - 2*r)*(6 - 3 - 1) + 2*r - 2*r - r.
-24*r
Expand (-35 + 33 - 25)*(-2*k - k + 4*k + (3 - 4 + 3)*(3 - 3 - 2*k) + 0*k - 3*k + 2*k).
108*k
Expand (-1 + 1 - 1)*(3 - 3 - y + (-4*y + y + y)*(-1 - 4 + 3) - y + 3*y - 3*y).
-2*y
Expand (6*a**2 + 8*a - 8*a)*(-2*a + 0 + 0) + a**3 + 4*a**3 | {
"pile_set_name": "DM Mathematics"
} |
-4*m(k) - 9*v(k). List the prime factors of l(-14).
2, 19
Suppose -15*i = -2*i - 39. Suppose 4*b = -i*c + b + 168, -5*c + 272 = -3*b. What are the prime factors of c?
5, 11
List the prime factors of 8/(96/10332) - 0.
3, 7, 41
Suppose 2*o - 19 + 11 = -b, o = 5*b + 4. Suppose 31*n - 28*n - 2*r - 3405 = b, 3*r + 5675 = 5*n. List the prime factors of n.
5, 227
Let y = -180 - -935. Suppose 3*n + 1484 = 2*q, n = -q - 4*n + y. What are the prime factors of q?
5, 149
Suppose 4*q - 35 = -q. Let p be 130/(-39)*897/(-26). Suppose 8*z - q*z = p. What are the prime factors of z?
5, 23
Suppose h = -4*i + 2504, -5*i = 4*h - 3269 - 6703. Suppose h + 3872 = 6*v. What are the prime factors of v?
2, 5, 53
List the prime factors of (-4706097)/(-117) - (-118)/(-2301).
19, 29, 73
Suppose 4*v + 145 = 109. List the prime factors of (v/(180/16))/(10/(-9025)).
2, 19
Suppose 3*w + 23 = 5*z, w - 6*w - 5 = 0. Suppose z*d = -b + 3, 2*d + 6 = -2*b - 0*b. List the prime factors of (d/4)/((-3)/(-324)).
2, 3
Let y(t) = -14*t**2 - 12*t - 16. Let p be y(-8). List the prime factors of (6/(-4))/(9/p).
2, 17
Let m(i) = -i**2 - 8*i + 57. Let q be m(5). Let j(s) = s**3 + 17*s**2 - 3*s - 21. List the prime factors of j(q).
3, 193
Suppose 0 = -2*g + 12*g + 30. Let v be (-2034)/(-8) - 1/(4/g). Let b = v - 120. List the prime factors of b.
3, 5
Let o be 5/(100/(-92)) - 4/10. Let b = -7 - o. List the prime factors of (-1 - -11)*(3 - 10/b).
2, 5
Suppose 2*s - 5*s - 28882 = 5*u, -5*s + 5*u - 48110 = 0. List the prime factors of (-28)/20 + s/(-10).
31
Let w = -7479 - -25299. What are the prime factors of w?
2, 3, 5, 11
Let y(m) = 110*m + 1 + 8*m**2 - 105*m - 8. List the prime factors of y(6).
311
Let s(v) = 7*v**2 + 3*v - 15. Let x be s(-4). Suppose 88*w - 1845 = x*w. What are the prime factors of w?
3, 5, 41
Let t(b) = 17*b + 24*b + 11*b**2 + 15*b - 59*b + 24. List the prime factors of t(6).
2, 3, 67
Let v(f) = 9*f**2 - 47*f + 9. Suppose -3*t - 56 = -8*t + 4*l, 2*t - 28 = 3*l. Let u be v(t). Let d = u + -4. What are the prime factors of d?
5, 41
Let a(q) = q**2 + 1. Let m(j) = j + 1. Let i(g) = a(g) + m(g). Let s be i(0). Let f(l) = 6*l**3 - 2*l + 1. What are the prime factors of f(s)?
3, 5
Let r be (-227)/7 - 24/(-56). Let n(k) = -k**3 - 34*k**2 - 92*k + 54. List the prime factors of n(r).
2, 5, 19
Suppose -3*b - 4*r = -319, 3*b + 2*b + 5*r = 525. Let k = b + -63. Suppose -5*t - 5*c + 200 = 0, 5*t - 4*c - k = 126. What are the prime factors of t?
2, 3
Let g(w) = 5*w**2 - 10*w + 12. Let s be g(9). Suppose -7*m + 1500 = -s. Let p = -13 + m. What are the prime factors of p?
2, 31
Let w(i) = 22*i**3 + 8*i**2 - 34*i + 105. What are the prime factors of w(6)?
3, 61
Suppose -s - 2 + 8 = q, -2*q - 6 = 0. Suppose 4*f - c - 820 = 0, s*f - 6*f + c - 608 = 0. List the prime factors of f.
2, 3, 17
What are the prime factors of (-864141 - -5)/(-14) + 1 + -5?
2, 5, 1543
Let z be (-4)/14*(-84)/(-12). Suppose -3*o - 3*o = 42. List the prime factors of (o/((-63)/12))/(z/(-57)).
2, 19
Let y = 146 + -144. Let v(h) = 139*h**2 + 7*h - 1. What are the prime factors of v(y)?
569
Let a = -45 - -49. Suppose 2*n = a*n + 6. List the prime factors of 36 - 4/2 - (-12)/n.
2, 3, 5
Suppose 57*c = 5*c - 21*c + 1958590. What are the prime factors of c?
2, 5, 2683
List the prime factors of (-5 - -6)/((-1)/3)*-11122.
2, 3, 67, 83
Let j be (-328)/(-18) + 18/(-81). Suppose j*h - 7609 = 6611. List the prime factors of h.
2, 5, 79
Let l(i) = -27*i + 25. Let m(p) = 1. Let y(u) = -l(u) + m(u). Let q be 2 - (2 + 1 + -10). List the prime factors of y(q).
3, 73
Let j = -18467 + 47391. List the prime factors of j.
2, 7, 1033
Let k be (2/10)/((-1)/5). Let t = k + 6. Suppose -5*h + 5*c = -140, t*h - 45 = 3*c + 99. What are the prime factors of h?
2, 3, 5
Let i = -23011 + 24003. List the prime factors of i.
2, 31
Suppose -454*f = -441*f - 62972. What are the prime factors of f?
2, 7, 173
Let f(p) = -p + 16. Let a be f(7). Suppose -23*j = -a*j - 1876. List the prime factors of j.
2, 67
Let n = 56 + -53. Suppose 0 = -6*h + n*h - 9. List the prime factors of (-361)/h + (-9)/((-108)/8).
11
Let b = 196 + -149. Suppose 0 = -y + 52 + b. List the prime factors of y.
3, 11
Let c(f) = -f**3 - 6*f**2 - 6*f - 25. Suppose 266 = -7*k + 182. List the prime factors of c(k).
911
Let c(p) = 4018*p**3 - p**2 + 128*p - 262. What are the prime factors of c(2)?
2, 16067
Suppose -16*b + 149 = 5. What are the prime factors of (258/b)/(5/270)?
2, 3, 43
Let k be (-19)/57 - 421/(-3). Let j = k + 86. Suppose -5*d = -3*d - j. List the prime factors of d.
113
Let v(l) = l**3 - 16*l**2 - 14*l - 34. Let t be v(17). Suppose -t*z = z - 8280. What are the prime factors of z?
2, 5, 23
List the prime factors of (-17 - 733238/110)/(((-2)/(-5))/(-1)).
3, 5569
Let r(z) = -32*z - 61. Let s be r(20). Let f = s - -1031. List the prime factors of f.
2, 3, 5, 11
List the prime factors of (-18)/39*-13 - (-8731 - 1).
2, 17, 257
Let c(z) = -169*z + 79. Let o be c(-5). List the prime factors of -2 + -1 - (o*5)/(-12).
2, 191
Suppose -m - 4*i = -9, 4*i + i = -m + 9. Suppose 12*c - m*c = -6. List the prime factors of 10127/91 - c/(-7).
3, 37
Let j = -8987 - -24532. What are the prime factors of j?
5, 3109
Let f = 377 + -370. Suppose -f*h + 1082 = -5295. List the prime factors of h.
911
Suppose 12 = 4*d + 2*d. Let t be (46 - 1)/((-4)/d + 3). Suppose 3*n + t = 6*u - 5*u, -35 = -u + n. What are the prime factors of u?
2, 3, 5
Suppose 0 = 35*u - 229555 + 82765. List the prime factors of u.
2, 3, 233
Let j(a) = 5*a**2 - 75*a - 67. Let o(f) = 2*f**2 - 37*f - 34. Let t(x) = 3*j(x) - 5*o(x). List the prime factors of t(18).
11, 79
Suppose -5*c + 6 = -14. Let b(m) = 2*m - 11. Let j be b(c). List the prime factors of (-2760)/(-18) - (-1)/j.
3, 17
Let v = -5 - -9. Suppose 4*b = v*h - 488, 0*h - h + 2*b = -119. Let w = h - 89. List the prime factors of w.
2, 3
Suppose 6*x + 3 = 15. Suppose -x*f + 1 = -f - 3*u, f + 3*u = -5. What are the prime factors of f + (1 + 6)*5?
3, 11
Suppose -341 = 5*o + 129. Let t = o + 97. Suppose -h + t = 0, 0 = -2*s + 4*h + 14 + 14. List the prime factors of s.
2, 5
Let r(k) = 118*k - 433. List the prime factors of r(11).
5, 173
Suppose -5*o + 23540 = 2*y, -23515 = -5*o - 41*y + 44*y. List the prime factors of o.
2, 13, 181
Suppose -4*d - 5*f = -38855, 7 - 22 = -5*f. What are the prime factors of d?
2, 5, 971
Let i(p) = 39*p**2 - 16*p - 28. Let d be i(-7). Suppose d = 12*r - 729. List the prime factors of r.
227
Let l(c) = 31*c**2 - 56*c - 64. List the prime factors of l(21).
31, 401
Let m(s) be the third derivative of -11*s**4/24 - 29*s**3/6 + 15*s**2. Suppose -5*r = 5*l + 60, -4*r - 3*l - 53 = -5. List the prime factors of m(r).
103
Let v(d) = d**3 - 9*d**2 - 29*d + 10. Let f be v(12). Let r = f - 90. Suppose 4*y + 136 = 4*t - 748, r*t + 3*y - 856 = 0. List the prime factors of t.
7, 31
Let k(u) = -532*u - 2674. What are the prime factors of k(-50)?
2, 7, 1709
Let g = 37669 + -31475. List the prime factors of g.
2, 19, 163
Let x be 13/(-22)*2 - (-120)/660. What are the prime factors of (-121)/(-2 + 0 - x)?
11
Let l(i) = 5438*i + 2314. What are the prime factors of l(5)?
2, 461
Suppose -3*s + 12 = 0, 2*s - 5 + 2 = -5*h. What are the prime factors of (0 + h)*(-336 - 0)?
2, 3, 7
Let z(t) = 17*t**2 - 8*t + 8. Let h = 166 + -163. What are the prime factors of z(h)?
137
Let v = -1486 - -3302. Suppose 12*u - 15376 + v = 0. List the prime factors of u.
2, 5, 113
Let d be 14*(6 + (-287)/49). Suppose c + d*c = 3*o - 3657, -5*o - 2*c = -6081. What are the prime factors of o?
1217
Suppose -2*b = 3*b - 1180. Suppose 0 = 7*f - 324 - b. What are the prime factors of (-1)/(-3)*(f*4 - -1)?
107
Let c(t) = t**3 - 10*t**2 - 13*t + 36. Suppose 3*i - 15 = -2*i. Suppose 9 = -i*v, 3*m - 4*v = -2*v + 42. What are the prime factors of c(m)?
2, 3, 7
What are the prime factors of ((-39)/104)/((-6)/90256)?
5641
Let j = 71680 + -45218. List the prime factors of j.
2, 101, 131
Let m be 42/98 - 72/(-28). Suppose m*a + 10*s - 8*s = 4736, a + 2*s - 1580 = 0. List the prime factors of a.
2, 3, 263
Let a = -7 - -1. Let j be (a - -3)/1 - -6. Let x(u) = 4*u**3 - 5*u**2 + 9*u - 7. List the prime factors of x(j).
83
Suppose -3*y - 3 = 4*p + 1, -12 = y + 4*p. Suppose -8*k + 20 = -y*k, 5*r - 560 = -2*k. List | {
"pile_set_name": "DM Mathematics"
} |
s greater: h or -3?
h
Let a = 0 - -1. Let v be (-1)/(a/8)*-2. Suppose -p - 4*t - 8 = 0, 5*p = 2*t - 2 - v. Do p and -4 have different values?
False
Suppose -2*y = -c - 2, 5*c + 4*y = 3 + 1. Suppose c = -5*b - 0 + 5. Which is smaller: 2/3 or b?
2/3
Let f(r) = -r**2 - 5*r - 1. Let k be f(-5). Let z = k + 2. Let s = -11 - -13. Is s less than z?
False
Suppose 2*p - 3 = 3*p. Suppose 0 = -3*v + 12 + 6. Let g be ((-1)/2)/(3/v). Are p and g equal?
False
Let m(r) = r**2 + 13*r + 18. Let j be m(-10). Are j and -11 nonequal?
True
Let f(h) = -h**3 + 6*h**2 + 5. Let v be f(6). Suppose -4*j - 11 = 3*s + 6, s = -v*j - 24. Let b = 3 + -2. Is s < b?
False
Suppose 5*n = -3*z + 6, -5 - 7 = -2*n + 2*z. Let i = 1 - n. Let c be i/(((-8)/(-3))/4). Which is greater: -4 or c?
c
Let w = -3/19 + 59/133. Which is greater: w or 19?
19
Let y(t) = t - 8. Let f = -10 - -26. Suppose f = 3*o - o. Let p be y(o). Which is bigger: p or -1?
p
Suppose 5*d - 11 = -4*p, 3*p = 2*d - 3 - 6. Suppose h - 13 = -3*c + 6, 12 = d*h. Are c and 7 unequal?
True
Suppose -6 = 4*c + 3*t, 4 = -0*c + 2*c - 2*t. Let y = -1 + 0. Which is smaller: c or y?
y
Let i = 76 - 91. Which is bigger: i or 3?
3
Let h = 0.1 - -0.2. Let m = 0.4 - h. Which is greater: -4/5 or m?
m
Let n be ((-50)/30)/((-1)/3). Is n < 3?
False
Let q = 3/2 - 7/4. Let p = -0.89 + 0.69. Which is bigger: q or p?
p
Suppose -5*g - 5*b = -10*g, -2*b = -3*g - 2. Is g at least -2?
True
Let z be 9/(-12) + (-6)/(-8). Let m = 60 + -959/16. Does m = z?
False
Suppose -6*h = 50 + 406. Do -76 and h have the same value?
True
Let s(z) = -z**3 - 3*z**2 + 3*z - 2. Let y be s(2). Let f be 4/y*2*0. Is -3/4 > f?
False
Let x(d) = 2*d**2 + 11*d + 6. Let r be x(-8). Which is bigger: 47 or r?
47
Suppose 4*v + 18 = 3*s, 2*s + 2*v + 2 = -0. Let o = -3 - -2. Let d = s - o. Is 4 >= d?
True
Suppose -12 = -0*f + 3*f - u, 3*u = 0. Let b be -1 + (f - (-1 + 0)). Let g(l) = 3*l. Let m be g(-1). Is b bigger than m?
False
Let j be (-1 + 0)*13/65. Which is greater: j or 0?
0
Let u = 116459/167046 + -1/5062. Let j = u - 4/11. Which is bigger: -1/9 or j?
j
Let c(i) = i - 14. Let l be -1 + 8*(-8)/(-4). Let b be c(l). Which is smaller: -2 or b?
-2
Suppose 0 = 3*z - 5*f - 59 - 16, 5*f = z - 15. Is z less than 30?
False
Let n(y) = y**2 + 6*y + 1. Let i be n(-5). Which is smaller: -13/5 or i?
i
Let b(n) = n**2 + 3*n - 1. Let k be b(-4). Suppose -w + 4 = -3*z - 0, w - z - 8 = 0. Let c = 13 - w. Is k less than or equal to c?
True
Let q = 9 - 6. Let w be (-1)/1 + 0/q. Let b be 3/((-33)/20) - 12/(-6). Which is bigger: b or w?
b
Let n be ((-4)/40)/(1/2). Let g(o) be the third derivative of o**6/120 - 7*o**5/60 + 7*o**4/24 - 5*o**3/6 - 3*o**2. Let q be g(6). Is n bigger than q?
False
Let m be (-1)/(39/(-9) + 4). Is m < 2?
False
Suppose -t - 22 = -4*o, -4 = -4*t - 3*o + 3. Let i be (-1 - t)*1*-1. Which is smaller: 2/7 or i?
i
Let m be (-1)/7 + 6/21. Let n(f) = 4*f - 3. Let a be n(1). Which is bigger: m or a?
a
Let p(f) = -3*f - 6. Let c be p(-4). Is c not equal to 6?
False
Suppose -22*q + 441 = -13*q. Is 51 at least as big as q?
True
Let w = -27 - -19. Let u be (-10)/w - 4/16. Is -5 <= u?
True
Let i be 3 - ((-7)/(7/(-15)) - 4). Is -47/6 greater than i?
True
Let i = -13 - -79/6. Suppose -2*m - 6 + 8 = 0. Does m = i?
False
Let a be 0/3 - 130/(-8). Let b = -577/36 + a. Which is smaller: b or -1?
-1
Let p be 1 + 1*(1 + -3). Let a(b) = -b**3 - 9*b**2 - 4*b + 4. Let h be a(-4). Let z be (-8)/20 + (-14)/h. Which is smaller: z or p?
p
Suppose 0 = 4*d - 9*d + 20. Let s be -1 - -2 - d*1. Let f be -1*((-6)/s - 5). Is f less than 3?
False
Let r be (-5)/10 - (-9)/26. Let l = -6.99 - -7. Let s = -0.01 + l. Which is smaller: r or s?
r
Let y = 1946/9 + -216. Let d = 97 - 98. Is y smaller than d?
False
Let v = 47 + -56. Which is smaller: -2 or v?
v
Let n = -28 + 82/3. Let u = 1.3 + -10.3. Which is greater: u or n?
n
Let x = -59 - -532/9. Which is smaller: x or 1?
x
Let y = -30 + 31. Let p = 10 + -3. Let c = 4 - p. Which is smaller: y or c?
c
Let w be (-6)/(-8) - (-21)/(-12). Suppose -5*c = 4*x + 33, -2*c = x + 3*c + 27. Does x = w?
False
Let j be ((-3)/(-4))/(1/4). Suppose 4*s = j*s + 3. Let i = 6 - s. Which is smaller: 4 or i?
i
Let d be 3 + (-12)/9*-3. Is d less than or equal to 10?
True
Let t = 6 + -78. Is -74 at most t?
True
Let j = 6/11 + 58/55. Let w = -39 + 42. Which is bigger: w or j?
w
Let n be (51/4 + 0)*(-28)/(-7). Which is smaller: n or 50?
50
Let r be (-65)/9 - -7 - (-409)/18. Is 22 >= r?
False
Let a = 56 + -78. Let c = -21 - a. Are c and 1/12 equal?
False
Suppose 7*z - 139 + 118 = 0. Let i(h) = -h**3 + 7*h**2 - 5*h - 5. Let a be i(6). Which is smaller: z or a?
a
Let c(p) = -4*p**2 + p**2 + 4*p**2 + 1 + 8*p**2. Let i be c(-1). Let w = i + -10. Which is smaller: w or 5/4?
w
Let m be (4/(-10))/((-11)/(-220)). Let j(f) = f - 8. Let l be j(0). Is m at least l?
True
Let s = 15629/4 - 3956. Let y = -48 - s. Let g(p) = -p**3 - 7*p**2 + p + 7. Let i be g(-7). Which is bigger: i or y?
y
Suppose 0 = -5*f + 4*m - 2, 10*f - 7*f - 5*m = 4. Which is greater: 7 or f?
7
Let v = 130 + -227. Is v > -0.2?
False
Suppose q = -2*q - 60. Which is bigger: -19 or q?
-19
Let x be 1*-2 + 5 + -1. Suppose -4*q = -2*q + 3*t + 1, 0 = 3*q + 4*t + 3. Let u = x + q. Which is bigger: -1 or u?
-1
Let w(r) = 3*r - 1. Let x = -4 - -5. Let g be w(x). Let k be 2/(g - 4) + -1. Is -3 at most k?
True
Let y(m) be the third derivative of -m**6/120 + m**5/60 + m**3/3 - 8*m**2. Let g be y(2). Is -3 greater than or equal to g?
False
Let t be (-1 - -2)*8/32. Let p = 174586/21 + -8312. Let q = -88/63 + p. Is q >= t?
False
Suppose -5*j + j = -4. Suppose 5*q = 9*q + 8. Let n be 0/((-2)/(q + 1)). Which is smaller: n or j?
n
Suppose 4*c - 6 + 18 = 0. Which is smaller: 0 or c?
c
Let f be -1 + (-1)/(-1) - 1. Suppose 0 = 3*r + 2*r. Is f less than r?
True
Let k = -2 - -2. Let a = 0.1 + k. Let d be (-6)/(-10) + 0 + (-209)/165. Is d at most a?
True
Suppose -22 + 103 = 3*n. Let u = -31 + n. Is -11/4 at most u?
False
Let d be (3/1)/((-2)/(32/12)). Which is smaller: -12 or d?
-12
Let i = 16 + -7. Suppose -i = 6*b - 69. Which is bigger: 9 or b?
b
Suppose 0 = -2*f + 30 - 80. Let v be (-32)/(-2)*22/(-14). Let l = v - f. Which is smaller: l or -1?
-1
Let h be 2/(-6) + (-6)/9. Which is smaller: 2/11 or h?
h
Suppose 3*v + 0 = -15. Let m = v - -2. Is m < -0.2?
True
Let a be 3142*3/(52 + 2). Let q = a - 175. Does q = 0?
False
Suppose 1 = 5*f + 3*l, -2*l + 7 = -2*f + 1. Let y be 8/(-2 - -1)*4. Let d = y + 191/6. Is d != f?
True
Let g = -0.11 - -0.47. Let a = 0.3 - g. Let v = 2.94 - a. Are 1 and v unequal?
True
Let q = -0.14 + 0.24. Is q greater than -2?
True
Let v = 22/3 - 676/93. Is 0 != v?
True
Let n = 18 + -11. Let w = n + -12. Let h = 7 + w. Is -1 less than h?
True
Let c(l) = -l**3 + 2*l**2 - 2*l + 3. Let p be c(2). Let y(m) = m**3 + 9*m**2 + 7*m - 9. Let w be y(-8). Let f be 3 + 36/(-10) - w. Is p equal to f?
False
Let b be (-2)/16 - 8/(-64). Which is greater: b or 2/61?
2/61
Suppose 16*i - 27 = 5. Is i at most 14/5?
True
Let w be (1 + 1)*(2 + -9). Let o = w - -24. Let f be 4/(8/o)*1. Which is bigger: 4 or f?
f
Let j be 3/(-12)*-1 + 0. Do 2 and j have different values?
True
Let l be 4/12*36/(-28). Which is smaller: l or 1?
l
Let p = -66 - -68. Is p at least -5/6?
True
Suppose 0 = 2*w - z - 6 - 5, -5*w - 5*z + 20 = 0. Suppose -3*t - w*g - 6 = 10, 5 = 5*t + 2*g. Which is smaller: t or 4?
t
Let d(q) = 15*q + 12. Let c be d(-4). Is c > -49?
True
Suppose 0 = 2*v - 1 - 3. Let i(q) = -3*q + v*q + q + 3*q + 4. Let t be i(-3). Which is bigger: -6 or t?
t
Suppose w = 3*w + 12. Let n(r) = r**3 + 5*r**2 - 4*r + 7. Let a be n(-6). Is w at least as big as a?
False
Suppose 0 = -x - 4*n + 320 - 65, 1187 = 5*x - 2*n. Let h be (-1)/2 + x/190. Let l = 3/19 - h. Which is bigger: l or -1?
l
Let g = -4 - -8. Let z = 22.2 - 22. Let k = z + -2.2. Which is bigger: g or k?
g
Suppose -7*s + 11*s = 140. Suppose 2*b + s = 7*b. Which is greater: 8 or b?
8
Suppose 0 = -2*v + v + 1. Let j = 2 + -9. Let q = j - -6. Is v at most as big as q?
False
Let v(k) = k. Let p be v(-1). Let f be 15/((-9)/3) + p. Let b = f - -8. Do b and 2 have the same value?
True
Suppose -3*x + 5*x = 2*q - 6, 30 = -4*x - 5*q. Let b(u) = u**2 - 6*u - 6. Let v be b(6). Which is smaller: v or x?
v
Suppose -4*w = | {
"pile_set_name": "DM Mathematics"
} |
08811, -353992, -555585?
-1567*z**3 - 2584*z - 16
What is the o'th term of -32, -1185, -3494, -6959, -11580, -17357, -24290?
-578*o**2 + 581*o - 35
What is the j'th term of 2533, 2657, 2837, 3103, 3485, 4013, 4717, 5627?
5*j**3 - 2*j**2 + 95*j + 2435
What is the m'th term of -77143, -77170, -77197, -77224, -77251?
-27*m - 77116
What is the w'th term of 409, 3325, 11283, 26809, 52429, 90669, 144055?
421*w**3 - 5*w**2 - 16*w + 9
What is the z'th term of 22414, 22458, 22622, 22966, 23550, 24434, 25678?
10*z**3 - 26*z + 22430
What is the k'th term of -19839323, -19839317, -19839311, -19839305, -19839299?
6*k - 19839329
What is the m'th term of -46131577, -46131552, -46131527, -46131502, -46131477?
25*m - 46131602
What is the f'th term of -10448, -78808, -262978, -620864, -1210372, -2089408, -3315878, -4947688?
-9651*f**3 + f**2 - 806*f + 8
What is the o'th term of 66133268, 66133267, 66133266, 66133265?
-o + 66133269
What is the v'th term of 2723554, 5447106, 8170658, 10894210?
2723552*v + 2
What is the t'th term of -742015, -1484080, -2226145, -2968210, -3710275?
-742065*t + 50
What is the i'th term of -330025, -330417, -330809?
-392*i - 329633
What is the m'th term of 16049, 31706, 47363, 63020?
15657*m + 392
What is the p'th term of -1658, -3170, -4650, -6086, -7466, -8778, -10010, -11150?
2*p**3 + 4*p**2 - 1538*p - 126
What is the o'th term of -62245910, -62245907, -62245904?
3*o - 62245913
What is the t'th term of 36183, 72502, 108821, 145140, 181459, 217778?
36319*t - 136
What is the c'th term of 133692, 534970, 1203770, 2140092, 3343936, 4815302, 6554190?
133761*c**2 - 5*c - 64
What is the t'th term of -2270960, -2270964, -2270968, -2270972, -2270976?
-4*t - 2270956
What is the t'th term of 48165, 96318, 144449, 192558, 240645, 288710, 336753?
-11*t**2 + 48186*t - 10
What is the p'th term of 5812, 22303, 49478, 87343, 135904, 195167, 265138, 345823?
p**3 + 5336*p**2 + 476*p - 1
What is the p'th term of 1040, 2147, 3322, 4565, 5876, 7255?
34*p**2 + 1005*p + 1
What is the g'th term of 7456, 19848, 32236, 44620, 57000, 69376, 81748?
-2*g**2 + 12398*g - 4940
What is the q'th term of 639324, 1278682, 1918026, 2557350, 3196648, 3835914, 4475142, 5114326?
-q**3 - q**2 + 639368*q - 42
What is the y'th term of 75143, 150239, 225291, 300299, 375263, 450183?
-22*y**2 + 75162*y + 3
What is the g'th term of 1053, 1968, 2875, 3774, 4665, 5548, 6423?
-4*g**2 + 927*g + 130
What is the h'th term of -10786165, -21572331, -32358501, -43144675, -53930853, -64717035, -75503221?
-2*h**2 - 10786160*h - 3
What is the t'th term of 4022, 32268, 108970, 258362, 504678, 872152, 1385018?
4039*t**3 - 6*t**2 - 9*t - 2
What is the x'th term of 1052, -19, -1804, -4303, -7516, -11443, -16084?
-357*x**2 + 1409
What is the h'th term of -409029, -408791, -408549, -408303, -408053, -407799, -407541?
2*h**2 + 232*h - 409263
What is the j'th term of 8399, 8217, 8035?
-182*j + 8581
What is the f'th term of -62990, -246725, -552950, -981665, -1532870?
-61245*f**2 - 1745
What is the v'th term of 11131214, 22262429, 33393644, 44524859, 55656074?
11131215*v - 1
What is the s'th term of -38805228, -38805232, -38805236, -38805240, -38805244?
-4*s - 38805224
What is the f'th term of 75567, 151013, 226459, 301905, 377351?
75446*f + 121
What is the w'th term of 148, 8903, 34708, 86089, 171572, 299683, 478948, 717893?
1421*w**3 - w**2 - 1189*w - 83
What is the h'th term of -3293895, -3293894, -3293893?
h - 3293896
What is the r'th term of -1025, -3272, -7031, -12302, -19085?
-756*r**2 + 21*r - 290
What is the g'th term of -14033, -13692, -13333, -12956, -12561, -12148, -11717?
9*g**2 + 314*g - 14356
What is the b'th term of -4963, -9191, -13445, -17719, -22007, -26303, -30601, -34895?
b**3 - 19*b**2 - 4178*b - 767
What is the k'th term of -7029948, -7029936, -7029924?
12*k - 7029960
What is the d'th term of 10013, 10126, 10307, 10550, 10849, 11198?
-d**3 + 40*d**2 + 9974
What is the o'th term of 174146621, 348293242, 522439863, 696586484, 870733105, 1044879726?
174146621*o
What is the v'th term of -159576, -159465, -159358, -159255, -159156?
-2*v**2 + 117*v - 159691
What is the z'th term of 20631, 82525, 185683, 330105, 515791?
20632*z**2 - 2*z + 1
What is the s'th term of -203195, -406222, -609249, -812276?
-203027*s - 168
What is the f'th term of -9237333, -9237337, -9237341, -9237345?
-4*f - 9237329
What is the y'th term of -12269, -12809, -13349?
-540*y - 11729
What is the q'th term of 12933, 12881, 12987, 13251?
79*q**2 - 289*q + 13143
What is the k'th term of -2917, -396, 2125, 4646?
2521*k - 5438
What is the s'th term of -18978603, -18978602, -18978599, -18978594, -18978587?
s**2 - 2*s - 18978602
What is the i'th term of 1034, 1692, 1918, 1712, 1074, 4, -1498?
-216*i**2 + 1306*i - 56
What is the k'th term of -23378, -21784, -19130, -15416?
530*k**2 + 4*k - 23912
What is the h'th term of 18321, 73314, 164963, 293262, 458205, 659786?
-h**3 + 18334*h**2 - 2*h - 10
What is the u'th term of -2225, -4460, -6691, -8918, -11141, -13360?
2*u**2 - 2241*u + 14
What is the a'th term of -3537, -3358, -3179, -3000?
179*a - 3716
What is the q'th term of 68939191, 137878381, 206817571, 275756761, 344695951?
68939190*q + 1
What is the q'th term of -8781862, -8781863, -8781864, -8781865, -8781866, -8781867?
-q - 8781861
What is the t'th term of -150903, -301798, -452689, -603582, -754483, -905398, -1056333, -1207294?
-t**3 + 8*t**2 - 150912*t + 2
What is the d'th term of -36456, -63101, -89746, -116391, -143036?
-26645*d - 9811
What is the s'th term of -1423, -2016, -2619, -3244, -3903?
-2*s**3 + 7*s**2 - 600*s - 828
What is the y'th term of 6104, 24396, 54878, 97550, 152412, 219464?
6095*y**2 + 7*y + 2
What is the h'th term of -512383, -2049679, -4611851, -8198905, -12810847?
-h**3 - 512432*h**2 + 7*h + 43
What is the w'th term of 30, -385, -1618, -4077, -8170?
-68*w**3 - w**2 + 64*w + 35
What is the d'th term of 44133, 43555, 42977, 42399?
-578*d + 44711
What is the l'th term of 454, 1570, 3350, 5794?
332*l**2 + 120*l + 2
What is the p'th term of 317853, 317743, 317633?
-110*p + 317963
What is the r'th term of 11600347, 11600350, 11600353, 11600356, 11600359?
3*r + 11600344
What is the z'th term of 433, 1713, 4003, 7417, 12069, 18073?
19*z**3 + 391*z**2 - 26*z + 49
What is the l'th term of 492, 479, 548, 765, 1196, 1907, 2964, 4433?
11*l**3 - 25*l**2 - 15*l + 521
What is the j'th term of -1306, -5306, -11986, -21358, -33434, -48226?
-2*j**3 - 1328*j**2 - 2*j + 26
What is the i'th term of 4, 333, 776, 1333, 2004, 2789, 3688?
57*i**2 + 158*i - 211
What is the f'th term of 26295, 26283, 26263, 26229, 26175, 26095?
-f**3 + 2*f**2 - 11*f + 26305
What is the r'th term of -1606, -893, -180?
713*r - 2319
What is the f'th term of 196731816, 196731817, 196731818, 196731819, 196731820?
f + 196731815
What is the n'th term of -22800, -22950, -23100?
-150*n - 22650
What is the n'th term of -88500, -88311, -88122?
189*n - 88689
What is the u'th term of 2184, 8294, 18494, 32784, 51164?
2045*u**2 - 25*u + 164
What is the l'th term of 910, 232, -400, -962, -1430, -1780, -1988, -2030?
4*l**3 - l**2 - 703*l + 1610
What is the n'th term of -852525, -852490, -852455?
35*n - 852560
What is the w'th term of -62355, -249513, -561441, -998139, -1559607, -2245845?
-62385*w**2 - 3*w + 33
What is the n'th term of 43721, 44331, 44941, 45551?
610*n + 43111
What is the q'th term of -7531, -7779, -8377, -9499, -11319, -14011, -17749, -22707?
-29*q**3 - q**2 - 42*q - 7459
What is the h'th term of -577, -1575, -2623, -3745, -4965, -6307, -7795, -9453?
-4*h**3 - h**2 - 967*h + 395
What is the n'th term of 23097, 46396, 69695, 92994, 116293, 139592?
23299*n - 202
What is the n'th term of 730, 1385, 2814, 5293, 9098, 14505, 21790, 31229?
46*n**3 + 111*n**2 + 573
What is the g'th term of -155617, -622381, -1400325, -2489455, -3889777, -5601297, -7624021, -9957955?
-g**3 - 155584*g**2 - 5*g - 27
What is the j'th term of 119752, 118535, 117322, 116113, 114908, 113707, 112510?
2*j**2 - 1223*j + 120973
What is the l'th term of -228692, -228638, -228548, -228422?
18*l**2 - 228710
What is the y'th term of 1351, 562, -227, -1016, -1805, -2594?
-789*y + 2140
What is the c'th term of 7453, 9734, 12015?
2281*c + 5172
What is the a'th term of | {
"pile_set_name": "DM Mathematics"
} |
0 smaller than -2/565829?
False
Which is smaller: -468 or -4032?
-4032
Is -10/13 at least as big as 0?
False
Do -245526/5 and -49106 have different values?
True
Is -2/341 at least 110.1?
False
Is 14135 at least 14137?
False
Which is bigger: -26965 or 29?
29
Which is greater: -3 or -64793?
-3
Is -67/23124 bigger than -1?
True
Is 150 at most 320/21?
False
Does 3055 = 1/4?
False
Which is bigger: -25 or -2704?
-25
Which is smaller: -4862 or -4875?
-4875
Are -2482 and -0.059 non-equal?
True
Is 11004/107 less than 104?
True
Which is smaller: 6 or 20580?
6
Is -674 at least 1.3?
False
Are -1048/195 and -5 non-equal?
True
Does -9603 = -48012/5?
False
Which is greater: 23682 or 23687?
23687
Does 3558 = 3560?
False
Is 1084 smaller than 1083?
False
Is 4/802551 at most -1?
False
Which is smaller: -81.53 or 0.119?
-81.53
Which is smaller: 19273 or 19085?
19085
Are -4574 and -4338 non-equal?
True
Is -1 >= 0.326755?
False
Which is smaller: -1 or 83/175723?
-1
Which is smaller: 902921 or 3?
3
Which is smaller: 0.1969 or 7.3?
0.1969
Are 1 and 626/1219 non-equal?
True
Which is bigger: 0.1 or 608411?
608411
Is 189467 >= 189468?
False
Which is smaller: 561 or 593?
561
Which is greater: 791 or 783?
791
Which is greater: 9 or -83748?
9
Is 1 smaller than 192/51283?
False
Which is bigger: -54168 or -108335/2?
-108335/2
Is -1 at least as big as -88/12913?
False
Which is smaller: 9905 or 9815?
9815
Is 1931172 != 1931173?
True
Which is smaller: 1 or 44/11503?
44/11503
Does 170/141 = 7?
False
Which is smaller: 81/23 or -17.71?
-17.71
Which is smaller: -43528 or -43533?
-43533
Which is smaller: 0 or -24/344783?
-24/344783
Is -38/167 less than 2?
True
Is -28/80943 at most 0?
True
Which is greater: -939635 or -939632?
-939632
Which is smaller: -276 or -600?
-600
Which is smaller: -3/1507 or 1?
-3/1507
Which is smaller: 1 or 8211992?
1
Which is smaller: 61/3127 or 0?
0
Which is smaller: -524/257 or 2/5?
-524/257
Which is smaller: 0 or -14/237?
-14/237
Is -2733246 >= -2733245?
False
Which is smaller: -120 or -88?
-120
Which is smaller: 4/1728955 or 0?
0
Which is smaller: -35273/6 or -5879?
-5879
Which is bigger: 18000 or -5?
18000
Which is smaller: 828130 or 1?
1
Which is bigger: -0.1 or 168132?
168132
Which is smaller: -0.3 or 206.83?
-0.3
Which is smaller: 9.1 or -7?
-7
Is 1/652407 less than or equal to -1?
False
Is -38030/13 != -2925?
True
Which is bigger: 22/65909 or 1?
1
Is -18 at least as big as 4894?
False
Is -1 at most -2/144977?
True
Does 11723 = 11724?
False
Is -0.1 <= -14.223?
False
Which is greater: 967 or 980?
980
Which is smaller: 1/10 or -112655?
-112655
Which is smaller: -2518 or -1?
-2518
Which is smaller: 0.0689574 or 2/3?
0.0689574
Is -614883 at least -0.1?
False
Is -28280 less than 1?
True
Is -92 at least -586?
True
Does 289/78 = 3?
False
Is 4567/117 smaller than 40?
True
Do 170022 and 170023 have different values?
True
Which is smaller: 213971 or 213966?
213966
Is -308/17 less than or equal to -18?
True
Which is bigger: 2317.6 or -0.1?
2317.6
Which is bigger: 59.68 or 8/9?
59.68
Which is bigger: -1 or -134804?
-1
Is 63/2 at least as big as -0.6093?
True
Which is greater: -25828/199 or -129?
-129
Is 11/41595 at least as big as 1?
False
Is -289805 smaller than -289804?
True
Is -1623 >= -1616?
False
Which is greater: 42 or 78?
78
Is -2707312 greater than -2707312?
False
Which is smaller: -28158 or 2/7?
-28158
Which is bigger: -2/3 or 83/1895?
83/1895
Which is greater: -179099 or -29?
-29
Is 1474 >= 72186/49?
True
Which is bigger: 2921 or 2832?
2921
Is 27936 at most as big as 27937?
True
Is -1 at most -21/8516?
True
Which is bigger: 3590/43 or 82?
3590/43
Is 4877 equal to 4890?
False
Which is smaller: 439804/5 or 87960?
87960
Is 12161 smaller than 11985?
False
Which is smaller: -2375 or 1.8?
-2375
Is 100467 smaller than 100469?
True
Which is smaller: 194535 or 0.1?
0.1
Is 2846 greater than -3?
True
Which is smaller: 1 or 12/313615?
12/313615
Is -0.08 greater than 4438/15?
False
Do -2123766 and -2123766 have different values?
False
Is -28104 at most as big as -252925/9?
True
Which is bigger: 1 or 39/5023?
1
Which is bigger: 20461 or 20455?
20461
Which is smaller: -516/19 or -27?
-516/19
Which is smaller: 82009 or 82020?
82009
Which is smaller: -1 or -283/1621?
-1
Are -7/19877 and 0 equal?
False
Are -1 and -1/6189090 equal?
False
Which is smaller: 0 or -1/40938?
-1/40938
Which is greater: -1 or 266/629?
266/629
Is -1 > 3/125957?
False
Is 2 != 954/527?
True
Which is greater: 91/2728 or -1?
91/2728
Do -1 and -68/15689 have the same value?
False
Is 53336 at least as big as 53339?
False
Which is smaller: -1 or 28/34859?
-1
Which is bigger: -56/3629 or 0?
0
Is 147 > -276?
True
Are -2/23 and -7422/25 nonequal?
True
Which is bigger: -17.692 or 2/29?
2/29
Which is smaller: -242004/13 or -18617?
-18617
Is -233.878 equal to 0?
False
Which is smaller: -0.1 or 7655122?
-0.1
Is 873930 bigger than 873931?
False
Which is smaller: 229542 or 229547?
229542
Does -0.154 = 59?
False
Is 0 bigger than 55/3726?
False
Which is bigger: 46481 or 46457?
46481
Is 124434/53 at least as big as 2348?
False
Which is smaller: -1366676/5 or -273335?
-1366676/5
Which is smaller: -60123 or 2/3?
-60123
Are 86499 and 86499 equal?
True
Are 27850 and 222801/8 non-equal?
True
Which is smaller: -128284 or -128270?
-128284
Is -2 != 874/15?
True
Which is smaller: -2/7 or -2/3021229?
-2/7
Are -0.090322 and 2 equal?
False
Is -49685 <= -49670?
True
Is 18714 at most 280726/15?
True
Is -332684 < -332684?
False
Which is smaller: 19497/7 or 2784?
2784
Which is smaller: 1.9 or -1904?
-1904
Which is bigger: 12/743 or 1?
1
Is 51316 equal to 51318?
False
Which is smaller: 11382 or 2?
2
Which is smaller: -0.1 or 3/20039?
-0.1
Which is smaller: -2345 or -800?
-2345
Which is greater: -140 or 168?
168
Which is smaller: -0.581 or 767?
-0.581
Which is smaller: 89/31 or 3?
89/31
Is 7751/2 smaller than 1/3?
False
Which is smaller: 46 or -1595?
-1595
Is 1299 <= 1278?
False
Which is smaller: 1 or -9/127897?
-9/127897
Is -250357/5 != -50070?
True
Are -0.14 and 4098 non-equal?
True
Which is smaller: -1 or 122632?
-1
Is 0 < 93/2608?
True
Which is bigger: 26/11 or -12/35?
26/11
Is 0 at least as big as -1/262570?
True
Is -1059 smaller than -845?
True
Is -10 != -7977/701?
True
Which is greater: -108894 or -108892?
-108892
Are 200639 and 200636 equal?
False
Which is bigger: -763504 or -763505?
-763504
Are -649 and -684 equal?
False
Is -1 greater than or equal to -1/1236388?
False
Is -237 greater than -284?
True
Which is smaller: 94862 or 94845?
94845
Is 99830 at most 99824?
False
Which is smaller: -4 or 715/3?
-4
Is 317555 smaller than -4?
False
Do 20798 and 103989/5 have different values?
True
Do -45309 and -226547/5 have the same value?
False
Which is bigger: 152 or -327?
152
Is 17191 less than or equal to 51571/3?
False
Do -56031 and -56032 have different values?
True
Which is smaller: -2 or -423545?
-423545
Which is smaller: 1/1213826 or -1?
-1
Are 38743 and -2 equal?
False
Is -1073 smaller than 3468?
True
Is 6348965 >= 6348965?
True
Which is smaller: 2278406 or 0?
0
Which is smaller: -18401 or 179?
-18401
Which is greater: -20/493 or 1?
1
Is -2808 greater than or equal to 83?
False
Which is bigger: 7777 or 7776?
7777
Is 76 > 12258?
False
Is 58688 < 58780?
True
Do -19328 and -19328 have different values?
False
Is 1663/10 <= 167?
True
Is 27 less than 4889?
True
Which is smaller: 417846 or 417844?
417844
Which is smaller: -2955 or -2956?
-2956
Is 7912 bigger than 7914?
False
Is -39 < 1430?
True
Is 151 >= 0.0477?
True
Which is smaller: 162830 or 1139801/7?
1139801/7
Which is greater: 4 or -1445?
4
Is 1 less than or equal to -16/106647?
False
Which is smaller: -29729 or -29720?
-29729
Which is smaller: 32/15 or 4903?
32/15
Is -85688 != -85659?
True
Which is greater: -161 or -20775/128?
-161
Is -902 less than -1031?
False
Are 82/23 and -933 nonequal?
True
Which is greater: 418 or -112?
418
Is 12131 at most as big as 12134?
True
Which is smaller: 25502 or 204017/8?
25502
Do 6 and 0.49779 have the same value?
False
Are -276610 and -276612 unequal?
True
Which is bigger: 11 or -3299?
11
Which is bigger: 140175 or -0.1?
140175
Is -24 at most -1905/79?
False
Is 151679 at most 151660?
False
Is 1 at least -6/6699395?
True
Which is bigg | {
"pile_set_name": "DM Mathematics"
} |
ine w, given that -w**5 - 3159463*w**4 - 2495553191823*w**3 - 2495550032361*w**2 = 0.
-1579731, -1, 0
What is b in 732270*b**3 - 11052082*b**2/15 + 68024*b/15 + 8/15 = 0?
-2/17325, 2/317, 1
Factor -4*j**2 - 16097376*j - 48292092.
-4*(j + 3)*(j + 4024341)
Factor -t**2/6 - 24467*t/6 + 686644/3.
-(t - 56)*(t + 24523)/6
Solve -232*w**3 - 724765*w**2 - 715164*w + 9369 = 0 for w.
-3123, -1, 3/232
Determine w, given that -w**2 - 12889*w + 763932 = 0.
-12948, 59
Find b, given that b**4/3 + 292*b**3/3 - 249394*b**2/3 + 493172*b/3 + 1243955 = 0.
-667, -3, 5, 373
Let -o**5/2 + 12904653*o**4/2 - 20816261857464*o**3 + 20816255405138*o**2 = 0. Calculate o.
0, 1, 6452326
Factor 5*d**2/2 - 5911080*d + 3494086676640.
5*(d - 1182216)**2/2
Determine m so that 156*m**3 - 626504*m**2 + 658468*m - 32120 = 0.
2/39, 1, 4015
Factor 3*x**4/7 - 523398*x**3 + 1118617982031*x**2/7 - 639203994684*x + 4474413307692/7.
3*(x - 610629)**2*(x - 2)**2/7
Let 28*r**5 + 544736*r**4 + 2647493904*r**3 - 18934657672*r**2 + 18559235668*r - 2272616664 = 0. Calculate r.
-9731, 1/7, 1, 6
Suppose -6*w**3/11 - 86208*w**2/11 - 12829950*w/11 - 479857500/11 = 0. What is w?
-14218, -75
Determine p so that 3*p**2 + 71407614*p + 424920611431083 = 0.
-11901269
Factor m**2/7 - 87435*m/7 - 874450/7.
(m - 87445)*(m + 10)/7
Factor -3*m**4 + 6594*m**3 - 434520*m**2.
-3*m**2*(m - 2130)*(m - 68)
Let -v**3 - 124527*v**2 - 3858435840*v + 1141237373300 = 0. Calculate v.
-62410, 293
Suppose -2*h**3/3 + 110926*h**2/3 + 4929424*h + 4892448 = 0. What is h?
-132, -1, 55596
Determine q, given that 2*q**5/19 + 38058*q**4/19 + 241287652*q**3/19 + 26787089912*q**2 - 241859208912*q + 538030125760 = 0.
-6346, 4, 5
Determine s so that 3*s**2 + 15669*s - 12916884 = 0.
-5947, 724
Factor 3*x**3 - 582519*x**2 - 9320880*x - 37284288.
3*(x - 194189)*(x + 8)**2
Factor -27*y**3/5 + 2477502*y**2 + 8258385*y + 6882000.
-3*(y - 458800)*(3*y + 5)**2/5
Determine y, given that -y**2 - 5924444*y - 8774759177284 = 0.
-2962222
Solve r**5/2 + 20585*r**4/2 - 113306*r**3 - 576718*r**2 - 617880*r = 0 for r.
-20596, -2, 0, 15
Solve -127*r**3/6 + 1211*r**2/6 - 353*r - 576 = 0 for r.
-1, 576/127, 6
Determine r so that 4*r**5/5 + 8352*r**4 - 125352*r**3/5 - 75168*r**2 + 1127844*r/5 = 0.
-10443, -3, 0, 3
Find j such that 325*j**4 + 41305*j**3 - 37830*j**2 - 8920*j + 5120 = 0.
-128, -2/5, 4/13, 1
What is t in -40*t**5 - 995*t**4 + 85840*t**3 + 528245*t**2 + 395850*t = 0?
-58, -5, -7/8, 0, 39
Find w such that 63*w**5 - 169840731*w**4 + 1803541677*w**3 - 5313568689*w**2 + 2790229740*w - 404381100 = 0.
2/7, 1/3, 5, 2695874
Factor k**3 + 11473021*k**2 + 32907558453120*k + 32907546980100.
(k + 1)*(k + 5736510)**2
Factor 4*x**3 - 8526424*x**2 + 4543727086340*x + 18175044768400.
4*(x - 1065805)**2*(x + 4)
Determine k so that -4*k**4 - 41822*k**3 - 313388*k**2 + 543278*k - 188064 = 0.
-10448, -9, 1/2, 1
Solve -6*m**4/7 - 597470*m**3/7 - 14873866278*m**2/7 - 4957490730*m/7 + 9915778084/7 = 0 for m.
-49789, -1, 2/3
Let -215*c**4/4 - 102557*c**3/4 + 51254*c**2 + 479*c = 0. What is c?
-479, -2/215, 0, 2
Solve -f**3 + 1597865*f**2 - 638289144875*f - 3191485671125 = 0 for f.
-5, 798935
Solve -2*w**3/7 - 145720*w**2/7 - 582856*w/7 - 83264 = 0 for w.
-72856, -2
Factor -c**2 - 761536*c + 1523076.
-(c - 2)*(c + 761538)
What is m in 3*m**4 - 1449*m**3 - 895392*m**2 - 3564084*m - 3558240 = 0?
-353, -2, 840
Suppose -3*r**4 - 2454*r**3 - 355320*r**2 = 0. Calculate r.
-630, -188, 0
Solve 3*m**2/7 - 1611*m/7 + 4806/7 = 0 for m.
3, 534
Factor 5*c**5/3 + 1496150*c**4 + 13465260*c**3 + 40395690*c**2 + 40395645*c.
5*c*(c + 3)**3*(c + 897681)/3
Factor 2*v**2/3 + 60050228*v/3 + 60050222.
2*(v + 3)*(v + 30025111)/3
Find m, given that 5*m**5/4 + 2735*m**4/2 - 2785*m**3 - 49230*m**2 + 98640*m = 0.
-1096, -6, 0, 2, 6
What is n in -2*n**2/23 + 17024300*n/23 - 36228348811250/23 = 0?
4256075
Factor 36*d**2 - 106202*d + 5900.
2*(d - 2950)*(18*d - 1)
Solve -2*w**3/3 - 537508*w**2/3 - 537506*w/3 = 0.
-268753, -1, 0
Find c, given that -110*c**3 + 2075*c**2 + 28005*c + 3780 = 0.
-9, -3/22, 28
Factor -3*t**2 + 4335*t + 275598.
-3*(t - 1506)*(t + 61)
Factor w**2 + 344812*w - 1724085.
(w - 5)*(w + 344817)
Solve 215*l**2/2 - 131267*l/3 + 7733/6 = 0.
19/645, 407
What is z in 3*z**2 - 183582*z + 6605064 = 0?
36, 61158
Determine s, given that -5*s**2 - 14085435*s - 28170850 = 0.
-2817085, -2
Factor -u**2/2 - 27689*u + 720083/2.
-(u - 13)*(u + 55391)/2
Let -2*c**4/3 + 3230*c**3/3 - 1167322*c**2/3 - 113086358*c/3 - 37305268 = 0. Calculate c.
-78, -1, 847
Determine g so that 2*g**3 + 31880028*g**2 + 127520086*g + 95640060 = 0.
-15940010, -3, -1
Solve -2*s**2/9 + 5318*s/9 + 46816 = 0 for s.
-77, 2736
Solve 25*y**2/4 - 3923979*y/4 + 156959 = 0 for y.
4/25, 156959
Find n such that 19*n**5/7 + 5850*n**4/7 - 24837*n**3/7 - 22136*n**2 + 427920*n/7 + 1123200/7 = 0.
-312, -4, -36/19, 5
Factor r**3 + 144674*r**2 + 5235244729*r + 188281359396.
(r + 36)*(r + 72319)**2
Factor 3*b**3/5 - 8331*b**2/5 + 296028*b/5.
3*b*(b - 2741)*(b - 36)/5
Determine z, given that -4*z**4 + 96732*z**3 + 1451772*z**2 + 2614356*z - 23520456 = 0.
-9, 3, 24198
Factor -3*m**3/2 + 240159*m**2/2 - 8162805*m/2 + 69376473/2.
-3*(m - 80019)*(m - 17)**2/2
Factor s**3/2 + 51837*s**2/2 - 4361281*s/2 + 4309443/2.
(s - 83)*(s - 1)*(s + 51921)/2
Let -18*o**4 + 2631*o**3 + 30669*o**2 - 8247*o - 36267 = 0. What is o?
-11, -1, 7/6, 157
Find t such that -t**3/3 + 1126126*t**2/3 + 1126129*t = 0.
-3, 0, 1126129
Suppose 4*l**2/3 - 16287704*l + 49741744048428 = 0. What is l?
6107889
Factor l**2/2 - 1923*l/2 - 128000.
(l - 2048)*(l + 125)/2
Find q such that -q**5 - 13674*q**4 - 44367224*q**3 - 133019638*q**2 - 132992295*q - 44326208 = 0.
-8384, -5287, -1
Factor 13*q**2/2 - 186423*q - 200767/2.
(q - 28681)*(13*q + 7)/2
What is t in -t**5/4 - 3691*t**4/2 - 47785*t**3 + 213294*t**2 - 220680*t = 0?
-7356, -30, 0, 2
Factor -b**3/4 + 134887*b**2 - 72804441725*b/4 + 3564827205625/2.
-(b - 269725)**2*(b - 98)/4
Determine v, given that 84*v**5 - 1876232*v**4 + 11433764*v**3 - 17953728*v**2 + 9110672*v - 714560 = 0.
2/21, 1, 4, 22330
Factor 3*w**2 - 435555*w - 4355850.
3*(w - 145195)*(w + 10)
Factor 9*x**4 + 72191022*x**3 + 144765053467213*x**2 - 193020167544324*x + 64340066543076.
(x + 4010613)**2*(3*x - 2)**2
Solve -3721*m**3/4 - 14814887*m**2/6 - 1637631632*m + 1092852096 = 0 for m.
-80976/61, 2/3
Factor 3*z**2 - 9371091*z - 37484412.
3*(z - 3123701)*(z + 4)
Solve -2*l**3 + 178874*l**2 + 1431088*l + 2862240 = 0.
-4, 89445
Suppose 3*x**3 - 78744*x**2 + 1336611*x + 30690270 = 0. Calculate x.
-13, 30, 26231
Suppose -3*i**4/8 + 12177*i**3/4 + 880425*i**2/8 + 425937*i/2 - 32350995/2 = 0. Calculate i.
-23, 10, 8154
Let -3*c**3/5 - 281*c**2 + 73739*c/5 - 901131/5 = 0. What is c?
-517, 21, 83/3
Solve -t**3/3 + 37597979*t**2 = 0.
0, 112793937
Solve -x**3 + 1979858*x**2 + 3959719*x + 1979860 = 0 for x.
-1, 1979860
Factor g**4 + 74624*g**3 + 1341212158*g**2 - 1901911516032*g + 649566422747649.
(g - 671)**2*(g + 37983)**2
Factor -4*w**2/7 + 1991012*w/7 - 1991008/7.
-4*(w - 497752)*(w - 1)/7
Factor -k**4 - 2963*k**3 + k**2 + 2963*k.
-k*(k - 1)*(k + 1)*(k + 2963)
Factor -2*a**2/15 + 1139942*a/15 - 75996.
-2*(a - 569970)*(a - 1)/15
Determine c, given that 35*c**5 + 534*c**4 + 178*c**3 - 25296*c**2 - 89613*c - 64638 = 0.
-9, -114/35, -1, 7
Let 16965*n**5 - 251072*n**4 - 68008*n**3 + 251042*n**2 + 51043*n + 30 = 0. What is n?
-1, -1/5, -2/3393, 1, 15
Factor 4*l**2/5 + 8371128*l/5 + 8371124/5.
4*(l + 1)*(l + 2092781)/5
Find x such that -5*x**2 + 166282535*x - 166282530 = 0.
1, 33256506
Let 22*j**3 + 835154*j**2 + 7925744322*j - 3602783610 = 0. Calculate j.
-18981, 5/11
Let -3*z**2/2 + 123178809*z - 5057672995552827/2 = 0. What is z?
41059603
What is t in -2*t**3 - 763160*t**2 - 72790199450*t + 2184392881500 = 0?
-190805, 30
Suppose 2*q**5/5 + 1214*q**4 + 1038540*q**3 + 171829892*q**2 - 346780262*q + 869553078/5 = 0. Calculate q.
-1409, -219, 1
Factor q**2/2 - 1637*q/2 - 13834855.
(q - 6142)*(q + 4505)/2
Solve 2*c**3 + 1486*c**2 + 316950*c + 15451722 = 0.
-377, -297, -69
Factor -3*s**2 + 19745493*s - 177709194.
-3*(s - 6581822)*(s - 9)
Suppose k**2 - 570544*k + 81380113984 = 0. What is k?
285272
Find y, given that -3*y**3 + 3912*y**2 - 925347*y + 921438 = 0.
1, 309, 994
Fa | {
"pile_set_name": "DM Mathematics"
} |
*2*j**5 + 2*h**2*j + 2*h**2 - 215*j**4 + 3*j**2 wrt j?
-60*h**2*j**2 - 5160*j
What is the second derivative of 2*a**3*p + 4*a**3*y**2 - 3*a*j**2*y**2 + 13*a*j*p**2*y + 2*a*p**2 + 2*j**2*p*y + j*p**2*y**2 wrt y?
8*a**3 - 6*a*j**2 + 2*j*p**2
What is the second derivative of 5*b**3*o**5 - 817*b**3*o**2 + 6926*b**3*o - b**3 + 2*b**2*o wrt o?
100*b**3*o**3 - 1634*b**3
Differentiate -2*q*z**2 + 8*q*z - 143*q + 5*z**3 + 3 with respect to z.
-4*q*z + 8*q + 15*z**2
Find the third derivative of -194*b*j*s**3 + 2*b*s**4 + 15*b*s**2 + 3*b - j*s**4 + 4*j*s**2 wrt s.
-1164*b*j + 48*b*s - 24*j*s
Differentiate -356*b**3 - 2*b**2*z**2 - 1588*z**2 + 2*z with respect to b.
-1068*b**2 - 4*b*z**2
Find the third derivative of 112*r**5 - 20*r**2 - r wrt r.
6720*r**2
Find the first derivative of 42*b**3*v**2 - 285*b**3 + 4*b*v**2 + 2*b + 2*v**4 wrt v.
84*b**3*v + 8*b*v + 8*v**3
Find the first derivative of -2*s**4*t + 11*s**4 + 6*s**2*t - 64*t - 23 wrt s.
-8*s**3*t + 44*s**3 + 12*s*t
Find the second derivative of 72*o**3*s**3 + 2*o**3 - 2*o**2 - 45*o*s**3 - 3*s**3 wrt o.
432*o*s**3 + 12*o - 4
Find the second derivative of 116*j**5 - 702*j wrt j.
2320*j**3
What is the third derivative of 233*a**3 - 66*a**2 + a wrt a?
1398
What is the third derivative of 39*u**4 + 6*u**2 + 13?
936*u
What is the derivative of 59*t**3 + 10 wrt t?
177*t**2
What is the derivative of 97*v**4 + 139 wrt v?
388*v**3
Differentiate 2*b**3 - 151*b**2 + 77.
6*b**2 - 302*b
Differentiate 470*o**3 + 2014 with respect to o.
1410*o**2
Find the second derivative of -d**5 + 2443*d**2*y**2 + 5*d*y**2 - 2*d - 11 wrt d.
-20*d**3 + 4886*y**2
Differentiate -10*y - 103 wrt y.
-10
Find the second derivative of -794*z**3 + 233*z.
-4764*z
What is the second derivative of -g*l*v**2 + g*l - 2*g*v**2 - 5*g*v - 4*g + 4*l*v**2 wrt v?
-2*g*l - 4*g + 8*l
Find the first derivative of 5*k**3*o + 208*k*o + o - 1994 wrt k.
15*k**2*o + 208*o
What is the third derivative of -2*a**6*k - 8*a**4 + 26*a**3*k**3 + 3*a**2*k**2 - 10*a*k - 5*k**3 wrt a?
-240*a**3*k - 192*a + 156*k**3
Differentiate -2714*d - 10835.
-2714
What is the third derivative of -63*h**5 + 7*h**3*r - 224*h**2 + h*r wrt h?
-3780*h**2 + 42*r
What is the first derivative of 2*g*i + 119*g*z + 8*g - 692*i*z wrt i?
2*g - 692*z
Differentiate -63*d**3*o**2 + 117*d**3*x - 7*d*o**2*x + 1 wrt x.
117*d**3 - 7*d*o**2
Find the first derivative of -177*k**4 + k**2 + 3184 wrt k.
-708*k**3 + 2*k
What is the first derivative of 946*l**2 - 822?
1892*l
What is the third derivative of -940*l**3 - 2*l**2 - 39*l + 2 wrt l?
-5640
Differentiate -131*n**2*t*z**2 + n*t - 21*t*z - 6*z**2 with respect to n.
-262*n*t*z**2 + t
What is the third derivative of 64*a*r**4 + 29*a*r + 6*a - r**5 - 2*r**3 - 2*r**2 wrt r?
1536*a*r - 60*r**2 - 12
Find the third derivative of 6*n**4 + 66*n**2.
144*n
What is the second derivative of 273*g**5*m + g**5 + 7*g**2 - 1143*g*m + 2*g - 2*m wrt g?
5460*g**3*m + 20*g**3 + 14
What is the second derivative of f**3*g**2 + 289*f**3*g - 564*f**2*g**2 - 2*f*g wrt g?
2*f**3 - 1128*f**2
What is the derivative of -54*f**3*i**2 - 8*f**3 - 6*f**2 + 2*f*i**2 - 11*f*i + 5 wrt i?
-108*f**3*i + 4*f*i - 11*f
Find the third derivative of -57*m*n**3*u**2 - 2*m*n*u**2 - 20*n**3*u**2 + 2*n**2*u**2 - 2*n**2 - 51*n wrt n.
-342*m*u**2 - 120*u**2
Find the first derivative of -1871*u**2 - 81.
-3742*u
What is the second derivative of -5638*b**5 + 3716*b wrt b?
-112760*b**3
What is the first derivative of 696*b**2*f**2 + 511*f**2 wrt b?
1392*b*f**2
Differentiate 9*m**3*t - 3*m**2*t + 69*m**2 + 7*t + 1484 with respect to m.
27*m**2*t - 6*m*t + 138*m
Differentiate -1571*w**4*z**3 + z**3 - 1328 with respect to w.
-6284*w**3*z**3
What is the second derivative of -118*c**5 - 4*c**3 + 9128*c wrt c?
-2360*c**3 - 24*c
Find the third derivative of -1707*p**3 + 1408*p**2 wrt p.
-10242
Find the first derivative of -3*n*t**3 + 2*n*w**3 - 17*t**3*w**3 - t**3*w**2 wrt n.
-3*t**3 + 2*w**3
What is the derivative of 367*s**2 + 2*s*x - 122*x wrt s?
734*s + 2*x
Differentiate -2*g**2*j + 1215*g*j + g + 9668*j with respect to g.
-4*g*j + 1215*j + 1
Differentiate 2236*s**3 - s + 1323 wrt s.
6708*s**2 - 1
What is the third derivative of -907*z**3 - 9*z**2 + 5 wrt z?
-5442
What is the second derivative of -388*l**4 + 279*l wrt l?
-4656*l**2
Find the first derivative of 2418*g*r**2 - 190*r**2 - 2*r + 1 wrt g.
2418*r**2
What is the first derivative of -3*q**2 + 13*q - 336?
-6*q + 13
Find the second derivative of 20*d**3*j**3 + 2*d**3*j + d**3 - 2*d*j + 8*j**3 - 13 wrt d.
120*d*j**3 + 12*d*j + 6*d
What is the second derivative of -13206*k**5 + k + 2993?
-264120*k**3
What is the second derivative of -58*v**5 - 2*v**3 - 26*v**2 + 228*v?
-1160*v**3 - 12*v - 52
Find the third derivative of -6602*g**3 + 3*g**2 - 64*g + 6.
-39612
What is the second derivative of 94*a**5*x - 2*a**3*j*x + 3*a*j - 9*j*x + 8*x wrt a?
1880*a**3*x - 12*a*j*x
What is the derivative of 52*o*v + 8*o - 3186*v wrt o?
52*v + 8
What is the second derivative of 3*o**2*u**4 + 15*o**2*u**2 - o**2*u + 18 wrt u?
36*o**2*u**2 + 30*o**2
Find the first derivative of -4*q**4 + 80*q - 546 wrt q.
-16*q**3 + 80
Differentiate 10409*v**2*z**2 - 40*z**2 - 190*z with respect to v.
20818*v*z**2
What is the second derivative of 16*j**5 - 5*j**3 - 6750*j?
320*j**3 - 30*j
Find the second derivative of -358*i**5 - i**4 - i**3*x + 4*i*x - i + 4*x wrt i.
-7160*i**3 - 12*i**2 - 6*i*x
What is the third derivative of -57*d**4 + 32*d**2?
-1368*d
Find the second derivative of 3*a**3*q**4 - 106*a**3*q**2 - a**3 + 52*a*q - 2*q wrt q.
36*a**3*q**2 - 212*a**3
What is the third derivative of -2001*u**6 + 7*u**2 + 125 wrt u?
-240120*u**3
What is the second derivative of 1184*w**2 - 6*w + 399 wrt w?
2368
What is the third derivative of 14364*c*t**4 + 572*c*t + 2*t**6 - 15*t**2 + 2 wrt t?
344736*c*t + 240*t**3
Find the first derivative of k*n**2*w**3 + 31*k*n**2*w**2 - 3*k*w**3 - 2*k*w**2 + 330*k + 3*n**2 wrt n.
2*k*n*w**3 + 62*k*n*w**2 + 6*n
What is the first derivative of k**2*t + 152*k**2 + 15*k*t**2 wrt t?
k**2 + 30*k*t
What is the third derivative of 32*h**2*p**4 - h**2*p**3 - 8*h**2*p + h*p**2 - 2*p**2 wrt p?
768*h**2*p - 6*h**2
Find the first derivative of 15*f**3*z**2 + 518*f**3 - 28*z**2 wrt z.
30*f**3*z - 56*z
Find the first derivative of g**2 - 68*g + 90 wrt g.
2*g - 68
What is the derivative of 8*n**4 + 69*n - 471?
32*n**3 + 69
Find the second derivative of 513*h**4 + 3*h**2 - 1193*h.
6156*h**2 + 6
What is the second derivative of 16*a*w**3 + 30*a*w**2 + 5*a*w - 2*a + 2*w**3 - 3*w**2 + 62*w - 5 wrt w?
96*a*w + 60*a + 12*w - 6
Find the third derivative of 25007*i**4*l + 1772*i**2*l + 2*i**2 - 3*i*l wrt i.
600168*i*l
Find the first derivative of -6354*o + 3990 wrt o.
-6354
Find the second derivative of -4*m**5*y**2 + 2*m**5 + 17*m**2*y - 2*m*y - y**2 + 14*y wrt m.
-80*m**3*y**2 + 40*m**3 + 34*y
What is the third derivative of -1577*t**4 + 171*t**2 + 4*t wrt t?
-37848*t
Differentiate -165*g + 392.
-165
What is the third derivative of 2*h*u**5 - 17*h*u**3 + 2*h*u**2 + 13*h*u - 2*u**5 - 7*u**2 wrt u?
120*h*u**2 - 102*h - 120*u**2
Differentiate -233*q**2 - q + 1203 with respect to q.
-466*q - 1
Differentiate -o**4*y - 15*o**2*y**3 + y**3 + 5*y**2 wrt o.
-4*o**3*y - 30*o*y**3
Find the first derivative of 1550*w**2 + 1798 wrt w.
3100*w
What is the derivative of 5*b**4 - 34 wrt b?
20*b**3
What is the derivative of -2*s**2 + 6*s - 474 wrt s?
-4*s + 6
What is the first derivative of 4487*h + 5480?
4487
What is the derivative of 1748*l**4 - 2*l**3 + 1402 wrt l?
6992*l**3 - 6*l**2
What is the third derivative of 16*d**5*n - 6*d**5 - d**4 - 2*d**2*n - d**2 - d*n - 122*n wrt d?
960*d**2*n - 360*d**2 - 24*d
What is the first derivative of 542*a**2 + a - 28837 wrt a?
1084*a + 1
Find the second derivative of -153*n**2 - 41*n - 2 wrt n.
-306
Differentiate 3*k**3 + 527*k**2 + 566.
9*k**2 + 1054*k
Find the first derivative of 400*l + 470.
400
Find the third derivative of -54*i*k**2*u**3 - 3*i*k**2 + 2*i*k*u**3 - i*u**3 + 5*k**2*u**2 - k**2 wrt u.
-324*i*k**2 + 12*i*k - 6*i
Find the first derivative of 2*h**4 - 40*h*j - 4*j - 11 wrt h.
8*h**3 - 40*j
Find the third derivative of 5142*h**3 + 32*h**2 - 6 wrt h.
30852
Differentiate -u**4 + 58*u**2 - 2 with respect to u.
-4*u**3 + 116*u
What is | {
"pile_set_name": "DM Mathematics"
} |
or of -65/38 and -29/2.
38
Find the common denominator of 37/99 and -35/9693.
106623
Calculate the common denominator of -16/167 and 22/5.
835
Calculate the least common multiple of 48 and 1836.
7344
Calculate the smallest common multiple of 9 and 25.
225
What is the common denominator of -37/900 and 25/168?
12600
Calculate the smallest common multiple of 56 and 1274.
5096
Calculate the smallest common multiple of 26 and 11.
286
What is the least common multiple of 462 and 22?
462
Calculate the common denominator of 145/192 and -22/81.
5184
What is the common denominator of -34/11 and -19/7?
77
What is the lowest common multiple of 20 and 40?
40
What is the lowest common multiple of 693 and 7623?
7623
Calculate the lowest common multiple of 6 and 4.
12
Calculate the common denominator of 51/10151 and 34/5.
50755
Calculate the lowest common multiple of 1671 and 3.
1671
Calculate the least common multiple of 180 and 210.
1260
Find the common denominator of 37/36 and -25/27.
108
Find the common denominator of -79/98 and -26/77.
1078
Find the common denominator of 107/2400 and -47/600.
2400
What is the smallest common multiple of 42 and 14588?
43764
Find the common denominator of 79/640 and 87/1520.
12160
What is the smallest common multiple of 1908 and 72?
3816
Calculate the common denominator of 95/5232 and 127/2616.
5232
Find the common denominator of 1/13 and -12/73.
949
What is the lowest common multiple of 610 and 732?
3660
Calculate the lowest common multiple of 12 and 96.
96
Calculate the least common multiple of 9 and 26604.
26604
Calculate the common denominator of 77/2 and 13/8982.
8982
What is the lowest common multiple of 36 and 42?
252
Calculate the common denominator of -88/435 and -1/145.
435
What is the least common multiple of 1020 and 2?
1020
What is the common denominator of -103/230 and -131/6?
690
What is the lowest common multiple of 264 and 220?
1320
What is the least common multiple of 36 and 36?
36
What is the smallest common multiple of 2516 and 3145?
12580
Find the common denominator of 133/180 and 119/180.
180
Find the common denominator of -8/3925 and 49/5.
3925
Calculate the lowest common multiple of 21 and 312.
2184
What is the common denominator of 43/11 and -29/365?
4015
Calculate the common denominator of 89/14 and -79/42.
42
Find the common denominator of -47/40 and 95/16.
80
Calculate the lowest common multiple of 261 and 9.
261
What is the common denominator of 7/6 and 131/306?
306
Calculate the common denominator of 7/3835 and -24/9971.
49855
What is the common denominator of -75/8 and -169/90?
360
Calculate the lowest common multiple of 1260 and 4620.
13860
Find the common denominator of 119/4030 and -51/1300.
40300
Calculate the least common multiple of 70 and 80.
560
Calculate the smallest common multiple of 756 and 2646.
5292
Calculate the common denominator of -29/221 and 5/13.
221
What is the least common multiple of 50 and 35?
350
What is the least common multiple of 108 and 108?
108
What is the least common multiple of 1344 and 1456?
17472
Find the common denominator of -65/218 and 37/3.
654
What is the lowest common multiple of 24 and 14?
168
Find the common denominator of -97/88 and -67/56.
616
What is the smallest common multiple of 120 and 116?
3480
Calculate the lowest common multiple of 2523 and 30.
25230
Calculate the common denominator of -137/24 and -94/4905.
39240
Find the common denominator of 21/20 and 111/220.
220
Calculate the smallest common multiple of 9 and 3054.
9162
Calculate the lowest common multiple of 6 and 12.
12
What is the least common multiple of 96 and 32?
96
What is the lowest common multiple of 258 and 88?
11352
Calculate the lowest common multiple of 112 and 3528.
7056
Find the common denominator of 131/12 and 89/4810.
28860
Calculate the least common multiple of 363 and 165.
1815
Calculate the lowest common multiple of 6 and 4.
12
What is the lowest common multiple of 6 and 12?
12
What is the common denominator of 79/8 and -79/44?
88
Calculate the lowest common multiple of 40 and 2.
40
What is the smallest common multiple of 168 and 118?
9912
Find the common denominator of 59/30 and 1/78.
390
What is the least common multiple of 618 and 15?
3090
What is the common denominator of 16/525 and 12/35?
525
Find the common denominator of 71/2975 and 191/2550.
17850
Find the common denominator of -11/434 and 19/16.
3472
What is the least common multiple of 42 and 210?
210
Find the common denominator of -47/70 and -20/7.
70
Calculate the least common multiple of 8 and 620.
1240
What is the common denominator of 26/9 and 39/25?
225
Calculate the smallest common multiple of 92 and 72.
1656
Calculate the lowest common multiple of 3090 and 50.
15450
What is the smallest common multiple of 1086 and 2?
1086
Calculate the lowest common multiple of 213 and 7668.
7668
Calculate the smallest common multiple of 620 and 22.
6820
What is the common denominator of -14/25 and -50/1211?
30275
Calculate the lowest common multiple of 4 and 104.
104
What is the common denominator of 101/1960 and 53/40?
1960
What is the common denominator of 67/186 and 21/527?
3162
Calculate the smallest common multiple of 198 and 10.
990
What is the lowest common multiple of 3942 and 219?
3942
What is the common denominator of 31/3757 and -2/1105?
18785
What is the common denominator of 44/4075 and -94/7335?
36675
Calculate the least common multiple of 57 and 12.
228
What is the least common multiple of 538 and 4842?
4842
Calculate the lowest common multiple of 21 and 210.
210
What is the smallest common multiple of 96 and 1620?
12960
What is the common denominator of 58/1323 and -151/216?
10584
What is the common denominator of 1/228 and -115/18?
684
Calculate the least common multiple of 50 and 1338.
33450
Calculate the lowest common multiple of 3325 and 798.
19950
Find the common denominator of 77/538 and -56/15.
8070
Calculate the common denominator of 9/136 and 43/24.
408
Find the common denominator of -16/2773 and -29/141.
8319
What is the smallest common multiple of 46 and 230?
230
Calculate the common denominator of 149/876 and -49/146.
876
What is the common denominator of 17/4 and 79/4?
4
Calculate the common denominator of 99/1352 and -50/169.
1352
What is the least common multiple of 4 and 32?
32
Find the common denominator of -115/102 and 65/306.
306
Calculate the lowest common multiple of 579 and 39.
7527
Calculate the lowest common multiple of 74 and 14.
518
Calculate the lowest common multiple of 20 and 10746.
107460
Calculate the common denominator of 17/3663 and 25/72.
29304
Find the common denominator of -71/8 and 81/2.
8
Calculate the common denominator of -79/178 and -79/22.
1958
Calculate the lowest common multiple of 40 and 10.
40
What is the lowest common multiple of 18538 and 4433?
203918
Find the common denominator of 59/1426 and -68/2139.
4278
Calculate the smallest common multiple of 1500 and 4.
1500
Calculate the common denominator of -29/915 and -31/183.
915
What is the lowest common multiple of 78 and 117?
234
Calculate the common denominator of -49/120 and -109/140.
840
What is the common denominator of -2/273 and -35/27?
2457
What is the lowest common multiple of 32 and 4?
32
Calculate the lowest common multiple of 312 and 128.
4992
Calculate the smallest common multiple of 487 and 10.
4870
What is the common denominator of -67/54 and -43/2?
54
What is the common denominator of 29/241 and 89/10?
2410
What is the smallest common multiple of 126 and 684?
4788
What is the common denominator of 45/8 and -89/4352?
4352
What is the lowest common multiple of 60 and 18?
180
What is the common denominator of 67/126 and -101/14?
126
What is the least common multiple of 12 and 72?
72
Find the common denominator of -99/130 and 71/3510.
3510
Calculate the least common multiple of 18 and 36.
36
What is the smallest common multiple of 4680 and 18?
4680
Find the common denominator of -19/12 and 87/616.
1848
What is the lowest common multiple of 2295 and 54?
4590
Calculate the smallest common multiple of 49 and 70.
490
Calculate the common denominator of -7/13 and 93/4.
52
What is the least common multiple of 10 and 18?
90
What is the lowest common multiple of 525 and 35?
525
What is the lowes | {
"pile_set_name": "DM Mathematics"
} |
3
Let v = -536 - -536.0000263. Round v to six dps.
0.000026
Suppose 10 = -2*y, 2*t - 4*y + 1 = 31. Suppose t*z = 34 - 9. Suppose -4*l - 5980 = -4*w, -6*l = z*w - 2*l - 7520. What is w rounded to the nearest one thousand?
2000
Let h = -0.047 + 0.046919. What is h rounded to 5 dps?
-0.00008
Let n = -8 + 11. Let a = 7 - n. Suppose -a*y - 14200000 = -6*y. Round y to the nearest one million.
7000000
Let g = -11 - -4. Let s(t) be the second derivative of 2*t**3/3 - 2*t**2 + 5*t. Let y be s(g). What is y rounded to the nearest 10?
-30
Let u = 45.2 + -5.2. Let b = 14 - u. Let s = b + 26.00053. What is s rounded to four dps?
0.0005
Let f = 221187.699996 - 221187. Let z = f - 0.7. What is z rounded to six dps?
-0.000004
Let w(g) = 2*g - 9. Let t be w(6). Suppose -2*f = -t*f - 300000. Round f to the nearest 1000000.
0
Let h = 28.699853 + -28.7. Round h to five dps.
-0.00015
Let u = -83598 + 187598. What is u rounded to the nearest ten thousand?
100000
Let u = 1332369.7 + -1332369.37000085. Let a = u + -0.33. What is a rounded to 7 decimal places?
-0.0000009
Suppose -4*h + 26 = 6. Suppose 3*z = -3*w + 23112, -9968 - 13112 = -3*z + h*w. What is z rounded to the nearest one thousand?
8000
Let h = 24.7219342 + 372.9300733. Let j = 398.452 - h. Let t = 0.8 - j. What is t rounded to six dps?
0.000008
Let n = 40540.4 - 40535.399994. Let t = 6.2 + -11.2. Let w = n + t. Round w to 5 dps.
0.00001
Let u = 199 - 199.1932. Let g = -0.2 - u. Round g to three decimal places.
-0.007
Suppose -4381544 - 2418456 = -2*o. Round o to the nearest one million.
3000000
Let u = -34231 + 74231. Suppose -8*x - u = -10*x. Round x to the nearest 10000.
20000
Let x = -0.2 - 2.2. What is x rounded to 0 decimal places?
-2
Suppose -3*t + 49 = 5*l, 0 = 4*l + 5*t - t - 44. Suppose -s - 3*s = -l. Suppose -2*d = 5*m - 6199980, -m - 2 = s. What is d rounded to the nearest one million?
3000000
Let s = 30262 + -30262.0199998. Let t = -3.5 - -3.48. Let q = s - t. Round q to seven dps.
0.0000002
Let x = 0.2 + -0.3. Let p = 389.8996 + -390. Let g = x - p. Round g to 3 decimal places.
0
Let h = -49 + 48.914. Round h to two dps.
-0.09
Let c = -170.0606297 + 180.16063011. Let z = -10.1 + c. What is z rounded to seven dps?
0.0000004
Let w = -43193 - -89646. Let z = -46453.700024 + w. Let i = z - -0.7. What is i rounded to 5 decimal places?
-0.00002
Let h = -0.035 + -0.103. Round h to two dps.
-0.14
Let v = -174384 + -75616. Round v to the nearest one hundred thousand.
-300000
Let i = -2887 - -7687. What is i rounded to the nearest one thousand?
5000
Let o(l) = -907*l**3 - 7*l**2 + 11*l + 26. Let s be o(14). Round s to the nearest 100000.
-2500000
Let p(w) = -2641*w**2 - 4*w + 5. Let i = -6 - -32. Suppose i = -4*h + 6. Let c be p(h). Round c to the nearest 10000.
-70000
Let j = 0.33 - 0.364. What is j rounded to 2 dps?
-0.03
Let g(i) = -i + 1. Let u be g(-4). Suppose s + 2*s + 7518 = y, -u*s + 3*y = 12530. Let j be -2352*(-1 - s/6). Round j to the nearest one hundred thousand.
-1000000
Let k = 6 + 0. Let q(x) = 201*x - 6. Let a be q(k). Round a to the nearest one thousand.
1000
Let m = 2.09000044 - 2.09. Round m to seven dps.
0.0000004
Let j = -117 + 117.099. What is j rounded to two dps?
0.1
Let u be 158/(-237) - 1/3*-142800047. Let o = -21702024 - -33602030. Suppose -4*r - 4*y = y - u, -r - 2*y + o = 0. Round r to the nearest one million.
12000000
Let p = -189 - -111. Let a = p - -81.7. Round a to the nearest integer.
4
Let i(v) = -39750*v**2 - v - 4. Let x be i(-4). What is x rounded to the nearest 100000?
-600000
Let f = 5921 - 179. Let l = f + -15742. Round l to the nearest one hundred thousand.
0
Let n = 7.6 + -9.44. What is n rounded to one decimal place?
-1.8
Let w = 3.955 + -4. Let t = w - -0.01. Round t to two decimal places.
-0.04
Let j = -99.862 - 0.138. Let u = -99.9949 - j. What is u rounded to three decimal places?
0.005
Let m = 0.159 + -14.759. Let t = m - 48.4. Let n = t - -63.00066. What is n rounded to 4 decimal places?
0.0007
Let w = -9.4999898 - -9.5. What is w rounded to six dps?
0.00001
Let m = -42546 - -15546. What is m rounded to the nearest 1000?
-27000
Let k = 28 + -39. Let s be 2/k + (-426792)/44. Round s to the nearest 1000.
-10000
Let k = 27 - 18. Let l = -8.9965 + k. What is l rounded to 3 dps?
0.004
Let v be 2/12 - (-23)/6. Let a be (-3 - 5/(-2))*v. Let r be a/((9/6900000)/3). What is r rounded to the nearest one million?
-5000000
Let a = 0.30001 + -0.3. Let x = 46 + -46. Let t = x - a. Round t to 4 dps.
0
Suppose -3*k + 4000 = -k. Round k to the nearest 1000.
2000
Let z = 817800222 - 572545572. Let u = 245254605.0000029 - z. Let i = 45 + u. What is i rounded to 6 decimal places?
0.000003
Let j be 320/((-419996)/105000 + 4). What is j rounded to the nearest one million?
8000000
Let t = 35 + -30.7. Round t to the nearest integer.
4
Let w = 0.024 - 4.924. Let a = 0.9 + w. Let l = a + 4.2. What is l rounded to the nearest integer?
0
Let d = 40 - 44.1. Let n = d + 4. Let y = 0.10021 + n. What is y rounded to four decimal places?
0.0002
Let j(d) be the first derivative of 9*d + 399/2*d**2 - 2. Let z be j(9). What is z rounded to the nearest 1000?
4000
Let x = 2825.6 + -2824.95257. Let n = 1.147374 - x. Let d = n - 0.5. Round d to five decimal places.
-0.00006
Let l = 1521794 - 2253794. Round l to the nearest 100000.
-700000
Let w(i) = i + 8. Let x be w(-6). Let p be 6999998/(4*x/4). Let z be -1 + 2 + p/1. What is z rounded to the nearest one million?
4000000
Let q(x) = 8*x**2 - 2*x - 2. Let n be q(-8). What is n rounded to the nearest one hundred?
500
Let a = -17.0084 - -17. What is a rounded to three dps?
-0.008
Let b = 0.21 + -0.02. Let a = 0.11 + b. Round a to 1 decimal place.
0.3
Let f = 0.034 + 1.556. Let l = -0.63 - -0.8. Let k = f + l. Round k to 1 dp.
1.8
Let t = 9655092.5 + -9655094.40000022. Let u = t + 1.9. Round u to 7 dps.
-0.0000002
Let t = 132.4 + -115. Let k = 10 - t. Round k to 0 decimal places.
-7
Let d be 6/(-15) - (-174)/10. Let h = d - 11. Suppose -5*w = b + 480015, 3*w - h*w + 479991 = -b. Round b to the nearest one hundred thousand.
-500000
Let g(z) = -z**3 + 7*z**2 + 7*z - 9. Let h be g(9). Round h to the nearest 10.
-110
Let t be (184/3)/((-4)/(-130434)). Suppose t = 4*i + 3*v, -5*i + 2*v + 198361 = -2301647. Round i to the nearest 100000.
500000
Let v(i) = -i**3 - 13*i**2 - i - 18. Let o be v(-13). Let a(z) = -1879*z**2 + 5*z. Let d be a(o). Round d to the nearest 10000.
-50000
Suppose 0*o = 4*o. Let f = 2 + o. Suppose 7400 = -3*j - f*j. Round j to the nearest one hundred.
-1500
Let n = -2.7 - 25.3. Let w = n - -30.2. Let y = -1.1 + w. What is y rounded to the nearest integer?
1
Let a(d) = 3099*d + 1. Let q(t) = t**3 - 6*t**2 - 7*t + 1. Let w be q(7). Let i be a(w). What is i rounded to the nearest 1000?
3000
Let t = 356426 + -638424. Suppose -2*k - j = 3*k - 969995, -2*k = 3*j - 388011. Let r = k + t. Round r to the nearest ten thousand.
-90000
Let z(j) = -j**2 - j + 2. Let w be z(-2). Suppose -2*s + 3*s - 5000 = w. What is s rounded to the nearest ten thousand?
10000
Let x(z) = 2*z**2 - 126453*z**3 + 51452*z**3 - z - 5*z**2 + z**2. Let n be x(-1). Round n to the nearest ten thousand.
80000
Let d(o) = -o + 10. Let r be d(14). Let p be -900*16000*r/12. Round p to the nearest 1000000.
5000000
Let d = -6989297 + 6989303.4110435. Let w = d - 13.411043. Let n = w - -7. What is n rounded to 7 dps?
0.0000005
Let c = -19 - -7. Let u = -12.0035 - c. Round u to 3 dps.
-0.004
Let k = 107 + -116.2. Let z = k - 5. Round z to zero dps.
-14
Let m = 116357 + -116419.061. Let d = m + 62. What is d rounded to 2 dps?
-0.06
Let m = -19.58 - -20. What is m rounded to 1 dp?
0.4
Let o be -5 - (-1 + (-3 - -3)). Let u be (-1)/o*506*-2. What is u rounded to the nearest ten?
-250
Suppose 12*y + 142000 = 14*y. What is y rounded to the nearest 10000?
70000
Let n = -152.138057741 + -0.095008259. Let o = n - -2.224366. Let f = o + 150. What is f rounded to 3 dps?
-0.009
Suppose -8*w = -9*w - 60000. Round w to the nearest 10000.
-60000
Let h = -212498807.7647868 - -2172580744.7647927. Let j = 1960082052 - h. Let t = -115 + j. Round t to 6 decimal places.
-0.000006
Let d be 4/((-12)/(-185697)) + 1/1. What is d rounded to the nearest one thousand?
62000
Suppose -5*n = -7*y + 2* | {
"pile_set_name": "DM Mathematics"
} |
- 127 = 0. Let s = 43 + d. Calculate the remainder when 69 is divided by s.
15
Let f(v) be the second derivative of -27*v**5/20 - v**4/12 + v**3/6 + v**2/2 + 6*v. Calculate the remainder when 129 is divided by f(-1).
25
Let c(x) = -92*x - 155. Calculate the remainder when c(-4) is divided by 71.
0
Suppose -q - 145 = -2*u, -2*u + 6*u - 287 = -q. Calculate the remainder when 2156 is divided by u.
68
Let h be (5 + -4)*-79 + 0. Let m = h - -138. Calculate the remainder when 176 is divided by m.
58
Let w(m) = -m**3 + m**2 - 4*m + 2. Let o be w(3). Suppose 2*k = 13 + 3. What is the remainder when ((-6)/(-8))/((-1)/o) is divided by k?
5
Let x(z) = -10*z + 9. What is the remainder when x(-10) is divided by 16?
13
Suppose 4*d = 3*a - 35, 4*a + 5*d + 3 + 2 = 0. Let x = a - 2. Let n(q) = 2*q**2 + 4*q - 1. Calculate the remainder when n(-3) is divided by x.
2
Let q(j) = 2*j**2 + 14*j - 13. Calculate the remainder when 319 is divided by q(-8).
1
Let d be (4/((-4)/(-5)))/1. Suppose -9 - 21 = -d*n. Calculate the remainder when 21 is divided by n.
3
Suppose c + i - 5 - 2 = 0, -2*i - 41 = -3*c. Calculate the remainder when 394 is divided by c.
9
Let f = -37 - -37. Suppose f = 5*i - 3*z + 4, -3*i + 5*z = 2*z + 6. What is the remainder when i is divided by 1?
0
Suppose -3*u - i - 1 = 0, -2*u + 3*i = -5*u + 3. Let x(n) = 8*n**2 + 8*n**2 + 2 - 2*n**2 + 2*n - 4*n**2. Calculate the remainder when 27 is divided by x(u).
7
Let f(c) = -c**3 - 6*c**2 + 4*c + 44. Calculate the remainder when f(-9) is divided by 15.
11
Suppose 0 = -2*y - 0 + 2. Let u(d) = 13*d**3 - d + 1. Let h be u(y). Suppose -1 = t - h. What is the remainder when 46 is divided by t?
10
Let k(n) = n**3 - 7*n**2 - 9*n + 9. Let b be k(8). Let c = b - -5. Calculate the remainder when c is divided by 5.
1
Suppose 4*f + 4*w = 88, 2*w = 4*f - 2 - 62. Let b(q) = q**2 + 7*q - 7. What is the remainder when b(-12) is divided by f?
17
Suppose -419*k + 395*k + 672 = 0. What is the remainder when 1/((-2)/(-222)*1) is divided by k?
27
Let c(u) = 3*u + 10. Let i = -20 - -15. Let v be c(i). What is the remainder when 120 is divided by -3 + 47 - (8 + v)?
38
Suppose 3*s + 53 = -2*n + 210, 4*s - 214 = -5*n. Calculate the remainder when s is divided by 28.
23
Let n(a) = a**2 + a - 3. Let o be n(-3). Suppose 0 = o*z - 4*z + 10. Calculate the remainder when 47 is divided by z.
7
Let d(m) = m + 16. Let h be d(-11). Suppose -4*l + 7 = -h, -2*l = -5*j - 196. What is the remainder when (4/1)/((-4)/j) is divided by 13?
12
Suppose 2*c + 14 = -j, -2*j - 5*c = -5*j - 20. Calculate the remainder when 81 is divided by 4/j - 284/(-10).
25
Let c = 2057 + -1460. Calculate the remainder when c is divided by 24.
21
Suppose -6*q + 4*q = f - 8, 0 = 3*q + 5*f - 12. Calculate the remainder when 258 is divided by q.
2
Suppose 3*h + 0*h + 607 = 4*s, 0 = 3*h + 3. What is the remainder when s is divided by 48?
7
Let o(s) = 7*s**3 - 2*s**2 - 5*s + 7. Calculate the remainder when 89 is divided by o(2).
44
Suppose 8*k - 3*k = 0. Let i = k + 2. Suppose -5*h = -i*h - 72. What is the remainder when h is divided by 13?
11
Suppose -55*y + 65*y - 440 = 0. Calculate the remainder when 82 is divided by y.
38
Suppose 8*h = -5*h + 3*h. Suppose 5 = 5*j - h. Calculate the remainder when 6 is divided by j.
0
Let b be 2/(-4) - (0 + 93/(-6)). Let i = 89 - b. What is the remainder when i is divided by 19?
17
Let h(p) = -15*p - 38. Calculate the remainder when h(-8) is divided by 30.
22
Let u be (2*(-1 + -1))/(-2). Suppose -13*q - 2*q + 30 = 0. Suppose -4*c = -u*s - 0*s - 34, -38 = -4*c - q*s. Calculate the remainder when 16 is divided by c.
7
Let l(i) = 6*i**2 - 63*i - 24. What is the remainder when 333 is divided by l(12)?
81
Suppose 16*v - 27 = 7*v. Suppose -51 = -v*o - 12. Calculate the remainder when 34 is divided by o.
8
Let q = -157 + 161. Suppose -n = -4*n + 12. Suppose 2*b - n*p = -8, -q*b = -5*p + 7 - 3. What is the remainder when 5 is divided by b?
1
Let u be (3/2)/(5/(-20)). Let v be (u/(-2) - 1) + 3. Suppose 1 - v = -y. What is the remainder when 12 is divided by y?
0
Let n be (17/(-68))/(1/(-20)). Suppose -x - 4 = -3*a, -8 = -n*a + 2*x - 2. Suppose -4*k - 4 = -28. Calculate the remainder when k is divided by a.
0
Let t = 81 + -77. Suppose j = r - 2*j - 1, t*j = -3*r + 68. Calculate the remainder when 55 is divided by r.
7
Suppose -1769 = 443*h - 444*h. What is the remainder when h is divided by 15?
14
Let c(r) = r**3 - 14*r**2 - r + 17. Let s be c(14). Calculate the remainder when -4 + 9 + s + 0 is divided by 2.
0
Let i(c) = -c**3 - 48*c**2 - 8*c + 34. Calculate the remainder when i(-48) is divided by 105.
103
Let r = 31 - 31. Suppose 2*k - k + 492 = r. Calculate the remainder when 3/(4/k*-9) is divided by 15.
11
Let a(p) = 10*p - 6. Let q be a(-7). Let f = -26 - q. Calculate the remainder when 148 is divided by f.
48
Calculate the remainder when ((-280)/84)/(((-16)/30)/4) is divided by 3.
1
Suppose -4*r = 3*w - w - 432, -216 = -2*r - 3*w. What is the remainder when r is divided by (-5 - 2)/(-7) + 18?
13
Suppose o - 4 = 0, -8*r + 20 = -4*r + 3*o. Suppose 0 = -r*l - f + 211, -2*f + 311 + 217 = 5*l. What is the remainder when l is divided by 12?
10
Suppose -76*l - 32 = -84*l. What is the remainder when 27 is divided by l?
3
Let n = -35 - -38. Let v be (-1)/4 + (-42)/(-8). Suppose -3*a - 55 = -n*q + 8, q - 9 = -v*a. What is the remainder when q is divided by 11?
8
Let f = -64 + 60. Calculate the remainder when 36 is divided by f - 0 - (-1 + -25).
14
Suppose 38*s + 108 = 42*s. What is the remainder when s is divided by 16?
11
Suppose 4*v - 6 = 110. Suppose 2*q = -5*z + 36, -65*q - 2*z + 40 = -61*q. What is the remainder when v is divided by q?
5
Calculate the remainder when 79 is divided by 43 - ((-9)/6 - 7/(-2)).
38
Suppose -z + 2*z = -2. Let q = 5 + z. Suppose -q*c + x + 26 = -x, 3*c + x - 23 = 0. Calculate the remainder when 29 is divided by c.
5
Let u(s) = -s**3 + 15*s**2 - 13*s - 2. Calculate the remainder when u(14) is divided by 8.
4
Suppose 5*i - 698 = -j, 5*i - j = j + 704. Let g = 147 - i. Calculate the remainder when 31 is divided by g.
3
Let t(a) = 49*a**2 + a. Let x be ((-2 + 10)/4)/(-2). Let y be t(x). Suppose 0 = -j + 4*j - y. Calculate the remainder when 62 is divided by j.
14
Let z(g) = -60*g + 25 + 119*g - 60*g. Let y(i) = i**3 + 8*i**2 + 9*i + 7. Calculate the remainder when y(-6) is divided by z(11).
11
Let c = -487 + 491. What is the remainder when 151 is divided by c?
3
Let q(h) = h**3 + 8*h**2 + 13*h + 7. Calculate the remainder when 29 is divided by q(-4).
10
Let c(u) be the second derivative of 19/6*u**3 - 17/12*u**4 - 1/20*u**5 + 8*u + 0 + 10*u**2. What is the remainder when 3 is divided by c(-18)?
1
Suppose -3*t + 6*w - 7 = 2*w, 3*w = -3*t + 21. Suppose -4*c + k = -10, 0*k = 5*c + t*k - 21. Calculate the remainder when 13/(1/(-1 + c)) is divided by 9.
8
Suppose l + 0*s - 13 = -s, 3*l - 3*s - 69 = 0. Let y = l + 21. Calculate the remainder when y is divided by 14.
11
Let r = -11 - -28. Suppose -6*i = -i + 45. Let z = 15 + i. What is the remainder when r is divided by z?
5
Calculate the remainder when 7659/18 - (-45)/(-10) is divided by 84.
1
Let v(o) = -2*o**3 - 6*o**2 + 11*o + 28. What is the remainder when v(-6) is divided by 36?
34
Suppose 435 = 17*c - 1350. Let r(z) = 18*z**3 + 2*z**2 - 3*z + 1. Calculate the remainder when c is divided by r(1).
15
Suppose -9*j + 11*j + 2 = 0. Let l(g) = -g**2 - 2*g + 1. Let y be l(4). What is the remainder when 43 is divided by j/2*(1 + y)?
10
Let l(q) = -q**3 - 38*q**2 - 38*q + 9. What is the remainder when 321 is divided by l(-37)?
45
Suppose 15*w - 1952 = -407. What is the remainder when w is divided by 27?
22
Let j(a) = 5*a**2 - 34*a - 69. What is the remainder when j(10) is divided by 12?
7
Suppose 5*o = 4*w - 8*w + 147, -2*o + 5*w = -39. Let y(q) be the first derivative of q**2/2 + 16*q - 16. What is the remainder when o is divided by y(-9)?
6
Suppose -l = 3*l - 1276. Suppose -2*v - 27 + l = 0. What is the remainder when 34 is divided by 8/(-32) - v/(-8)?
16
Suppose 3*i + 3*n = i - 4, 0 = 3*i + 4*n + 6. What is the remainder when 23 is divided by -3 + (-3 - i)*-17?
9
Let q(f) = f**3 - 3*f**2 - 9*f + 9. Let c be q(5). Calculate the remainder when 32 is divided by (-7)/c - ((-210)/(- | {
"pile_set_name": "DM Mathematics"
} |
hird root of 289829 to the nearest integer?
66
What is 17974826 to the power of 1/9, to the nearest integer?
6
What is 22191013 to the power of 1/2, to the nearest integer?
4711
What is the seventh root of 551674 to the nearest integer?
7
What is the fifth root of 109486 to the nearest integer?
10
What is 12631722 to the power of 1/2, to the nearest integer?
3554
What is 3224872 to the power of 1/10, to the nearest integer?
4
What is the square root of 642284 to the nearest integer?
801
What is the tenth root of 1412205 to the nearest integer?
4
What is 264230 to the power of 1/7, to the nearest integer?
6
What is the cube root of 383532 to the nearest integer?
73
What is the square root of 17153309 to the nearest integer?
4142
What is the cube root of 1489005 to the nearest integer?
114
What is the fourth root of 1812285 to the nearest integer?
37
What is the sixth root of 235334 to the nearest integer?
8
What is 410629 to the power of 1/10, to the nearest integer?
4
What is 10677212 to the power of 1/3, to the nearest integer?
220
What is 7838473 to the power of 1/3, to the nearest integer?
199
What is 10682537 to the power of 1/8, to the nearest integer?
8
What is 5030305 to the power of 1/10, to the nearest integer?
5
What is the tenth root of 942875 to the nearest integer?
4
What is 304777 to the power of 1/4, to the nearest integer?
23
What is the square root of 6398847 to the nearest integer?
2530
What is the seventh root of 104076 to the nearest integer?
5
What is 7333893 to the power of 1/3, to the nearest integer?
194
What is the cube root of 1463231 to the nearest integer?
114
What is 69645 to the power of 1/2, to the nearest integer?
264
What is the square root of 405457 to the nearest integer?
637
What is 14357081 to the power of 1/3, to the nearest integer?
243
What is 5114187 to the power of 1/6, to the nearest integer?
13
What is the cube root of 1660 to the nearest integer?
12
What is 2958245 to the power of 1/2, to the nearest integer?
1720
What is the seventh root of 489827 to the nearest integer?
6
What is 554568 to the power of 1/2, to the nearest integer?
745
What is 71173 to the power of 1/3, to the nearest integer?
41
What is 53775 to the power of 1/2, to the nearest integer?
232
What is 302533 to the power of 1/8, to the nearest integer?
5
What is the eighth root of 8008238 to the nearest integer?
7
What is the cube root of 3515438 to the nearest integer?
152
What is the square root of 3686353 to the nearest integer?
1920
What is the cube root of 12200022 to the nearest integer?
230
What is 13184851 to the power of 1/7, to the nearest integer?
10
What is the square root of 18933078 to the nearest integer?
4351
What is the square root of 8345864 to the nearest integer?
2889
What is the ninth root of 3488812 to the nearest integer?
5
What is the third root of 1926818 to the nearest integer?
124
What is the third root of 1321432 to the nearest integer?
110
What is the cube root of 1188760 to the nearest integer?
106
What is 94334 to the power of 1/2, to the nearest integer?
307
What is 2913708 to the power of 1/4, to the nearest integer?
41
What is 20140744 to the power of 1/6, to the nearest integer?
16
What is 730764 to the power of 1/10, to the nearest integer?
4
What is the third root of 656822 to the nearest integer?
87
What is the square root of 143041 to the nearest integer?
378
What is the cube root of 242356 to the nearest integer?
62
What is 253939 to the power of 1/9, to the nearest integer?
4
What is the eighth root of 3009721 to the nearest integer?
6
What is 6741893 to the power of 1/10, to the nearest integer?
5
What is 495025 to the power of 1/2, to the nearest integer?
704
What is the tenth root of 1233302 to the nearest integer?
4
What is the cube root of 696358 to the nearest integer?
89
What is 1517463 to the power of 1/8, to the nearest integer?
6
What is 330130 to the power of 1/3, to the nearest integer?
69
What is 654518 to the power of 1/8, to the nearest integer?
5
What is 1350951 to the power of 1/9, to the nearest integer?
5
What is 924671 to the power of 1/2, to the nearest integer?
962
What is 149129 to the power of 1/3, to the nearest integer?
53
What is the third root of 1032612 to the nearest integer?
101
What is 202903 to the power of 1/5, to the nearest integer?
12
What is the third root of 18556396 to the nearest integer?
265
What is 14634943 to the power of 1/3, to the nearest integer?
245
What is the ninth root of 454727 to the nearest integer?
4
What is the cube root of 7228056 to the nearest integer?
193
What is the seventh root of 22623198 to the nearest integer?
11
What is the fourth root of 43012671 to the nearest integer?
81
What is 3538636 to the power of 1/3, to the nearest integer?
152
What is 250837 to the power of 1/2, to the nearest integer?
501
What is 10195424 to the power of 1/3, to the nearest integer?
217
What is 1281 to the power of 1/2, to the nearest integer?
36
What is the tenth root of 14378619 to the nearest integer?
5
What is the cube root of 2107830 to the nearest integer?
128
What is 1353521 to the power of 1/2, to the nearest integer?
1163
What is the third root of 1396434 to the nearest integer?
112
What is 9013077 to the power of 1/3, to the nearest integer?
208
What is the fourth root of 359725 to the nearest integer?
24
What is 34635 to the power of 1/6, to the nearest integer?
6
What is 728802 to the power of 1/5, to the nearest integer?
15
What is 28607815 to the power of 1/3, to the nearest integer?
306
What is the sixth root of 6831048 to the nearest integer?
14
What is the cube root of 1247897 to the nearest integer?
108
What is 186752 to the power of 1/3, to the nearest integer?
57
What is the fifth root of 165530 to the nearest integer?
11
What is the sixth root of 1829375 to the nearest integer?
11
What is 1081871 to the power of 1/3, to the nearest integer?
103
What is 3863778 to the power of 1/3, to the nearest integer?
157
What is the ninth root of 1269117 to the nearest integer?
5
What is the sixth root of 13523904 to the nearest integer?
15
What is 344316 to the power of 1/2, to the nearest integer?
587
What is 178791 to the power of 1/9, to the nearest integer?
4
What is the third root of 1363914 to the nearest integer?
111
What is the third root of 607255 to the nearest integer?
85
What is the third root of 145614 to the nearest integer?
53
What is 5377382 to the power of 1/3, to the nearest integer?
175
What is the seventh root of 72310 to the nearest integer?
5
What is the square root of 2100291 to the nearest integer?
1449
What is the square root of 80989 to the nearest integer?
285
What is the cube root of 11042942 to the nearest integer?
223
What is the sixth root of 6708 to the nearest integer?
4
What is 88555 to the power of 1/2, to the nearest integer?
298
What is the third root of 876293 to the nearest integer?
96
What is 29214047 to the power of 1/3, to the nearest integer?
308
What is the sixth root of 127770 to the nearest integer?
7
What is the seventh root of 31756 to the nearest integer?
4
What is 3004797 to the power of 1/3, to the nearest integer?
144
What is 521 to the power of 1/3, to the nearest integer?
8
What is the square root of 646931 to the nearest integer?
804
What is 5943885 to the power of 1/9, to the nearest integer?
6
What is 1044771 to the power of 1/8, to the nearest integer?
6
What is 798640 to the power of 1/2, to the nearest integer?
894
What is the eighth root of 266706 to the nearest integer?
5
What is 62517 to the power of 1/8, to the nearest integer?
4
What is 324743 to the power of 1/3, to the nearest integer?
69
What is 281328 to the power of 1/3, to the nearest integer?
66
What is the fifth root of 374092 to the nearest integer?
13
What is the square root of 472131 to the nearest integer?
687
What is 7379611 to the power of 1/2, to the nearest integer?
2717
What is the cube root of 5506303 to the nearest integer?
177
What is the square root of 63177 to the nearest integer?
251
What is the cube root of 10530888 to the nearest integer?
219
What is the cube root of 929723 to the nearest integer?
98
What is the sixth root of 245984 to the nearest integer?
8
What is the cube root of 7781376 to the | {
"pile_set_name": "DM Mathematics"
} |
= -o, 4*d - 4*u + 32 = 0. Let k be (d/(-10))/(1/6). Solve -2*q = 5*p + 24, -k*q - 5 = 5*p + 21 for p.
-4
Let c(f) = -3*f + 36. Let r be c(11). Solve -3*d = 4*o - 14, -d - r*o = -4*o + 7 for d.
-2
Let t = 13 - 9. Let z be (-4)/(-10) - 16/(-10). Let b(x) = x**3 - 22*x**2 - 25*x + 51. Let c be b(23). Solve -c*m = t*y - 22, 6*y - 19 = y - z*m for y.
3
Let r = -77 + 79. Solve 4*l - 6 = -2*d, -3*l = -r*d + 6 - 14 for l.
2
Let n = -67 + 73. Suppose 3*k - 25 = 2*s, 4*s + 34 + 1 = 3*k. Solve 5*w = -4*t - n, 2 + k = -t - 4*w for t.
1
Suppose -23*u = -21*u - 672. Let g be ((u/(-9))/(-7))/((-1)/(-3)). Solve -4*s - w - 29 = -4*w, 2*s = 2*w - g for s.
-5
Let o = 15 + -21. Let n(c) = -c**2 - 7*c + 4. Let u be n(o). Suppose 2*g + 4 = u. Solve -21 = -g*z - 3*b, -4*b + b = -3*z - 3 for z.
3
Let x be 50/18*1 + (-12)/(-54). Solve x*z - 6*z - 2*v = 2, 4*z - 2 = -5*v for z.
-2
Let f = -146 + 150. Let r be (20/(-30))/(f/(-78)). Solve -4*l = -2*w - 14, 3*l - l + 3*w + r = 0 for l.
1
Suppose -u - 9 = -3*p + 2*u, -7 = -3*p + 5*u. Suppose -4 = -2*r + 8. Suppose 3*o = -3*h - r, h = -p*h + 3*o + 22. Solve 10*f + h*t = 5*f + 5, 0 = 5*t for f.
1
Let n(x) = 2*x - 2. Let a = -143 - -147. Let y be n(a). Solve -p - 20 = -4*j, p = 2*j + y*p + 12 for j.
4
Let t be (0 - -1)/((70/(-259))/(-10)). Suppose 0*f - 9 = -3*f. Suppose -8 + f = -l. Solve 2*g = u - 3*g - 10, l*u + t = -4*g for u.
-5
Let p(v) = 2*v**3 - 4*v**2 - 2. Let a(q) = -q**3 - q + 1. Let z(g) = -3*a(g) - p(g). Let m be z(-4). Let n = m + 18. Solve 2*r + n = 3*y, 3*y - 6 - 1 = r for y.
3
Let k(c) be the first derivative of c**3/3 + c**2 - 23*c - 28. Let t be k(-6). Solve h + 3*n = -t, 3*h + 2*h = -3*n - 17 for h.
-4
Let n be 70/22 - 6/33. Suppose -12 = -0*r - n*r. Let b(u) = 2*u - 5. Let z be b(r). Solve 3 = -3*a, -z*y - 2*a + 1 = -4*y for y.
-3
Let f(d) = d**3 - d**2 + 3. Let l be f(2). Suppose 115 = 2*q - l*q. Let a = 25 + q. Solve -3*k + 15 = z, -3*k - a*k + 5 = -5*z for z.
3
Suppose 4 + 56 = 4*t. Let k = t + -10. Solve d - 4*d + 4 = k*z, -4 = -2*d - 4*z for d.
-2
Let z(r) = 12*r**2 - 9*r - 10. Let d be z(-1). Solve 0 = 5*y - 2*c - 6 - d, -y + 1 = -c for y.
5
Let r = 25 - 0. Suppose 6 = t - 4*k - 17, r = -5*k. Solve -t*y + 6 = 3*b, 0 = b + 3 - 6 for y.
-1
Let n be ((-3)/5)/(10/(-50)). Let b be n/(((-27)/(-6))/3). Let s = b - -2. Solve 4*w + s = -5*x + 2*x, w + 8 = x for x.
4
Let m = 188 + -112. Suppose -m*h = -71*h - 25. Solve -4*i - 6 + 2 = 3*r, h*i + 36 = 4*r for r.
4
Let a = -1165 + 1181. Solve 2*h = -5*y + 29, h + 18 = 20*y - a*y for h.
2
Let k be 18*-8*(-1)/6. Let z be (20/6)/(k/36). Solve -17 = 5*l - m, z*l + 3*m + 0*m = -29 for l.
-4
Let i be (-1 - (-192)/33) + 82/451. Solve 0 = -j + 2*u, -5 = j - 6*j + i*u for j.
2
Suppose 2*o = -3*d + 7, -2*d + 1 + 6 = -o. Let b be (-3 - o)/(3/(-6)). Let x = 7 - b. Solve -2*w = -0*w + 4, -4*g + x*w = -14 for g.
2
Let v be -8*((-52)/(-16) + -4). Suppose -v*x - x = -x. Solve -h - m - 3 = x, 9 = -h - 3*h - 3*m for h.
0
Suppose -2 = t - 3, t = 3*r + 1. Solve r = -5*k - n + 14, 3*k = -5*n - 0 + 4 for k.
3
Let a(z) = -z**3 - 18*z**2 - 15*z + 39. Let r be ((-2)/3 + 0)/((-4)/(-102)). Let q be a(r). Solve -5*d = -w - 13, 1 = -3*w - q*d + 2 for w.
-3
Let v = -12 + 0. Let b be (4/7)/(2 + v/7). Solve 26 - 6 = -5*f - s, b*f + 8 = s for f.
-4
Suppose s + 2*s = 0. Suppose s*k = 3*k. Solve 0 = -3*n + 3*w - 24, -n + k*w = -5*w + 20 for n.
-5
Let c be 7/(-14)*(0 - 0). Suppose -i - i + 2*r = -10, c = -i + 4*r + 8. Solve 5*j - 4*g = 4 + 5, j + i*g + 3 = 0 for j.
1
Suppose -3*q + 5*q - 32 = 0. Let z = q + -6. Solve 0 = -5*i - z, -3*b - i + 3*i + 4 = 0 for b.
0
Let y(a) = 4*a**3 - 29*a**2 - 22*a - 3. Let o be y(8). Solve -o = g - 0*l + 5*l, 5*l - 2 = 4*g for g.
-3
Suppose -5*l + 3*g + 42 = 0, 3*g - 38 = -4*l + g. Solve -4*s + 2*h = -1 - l, 0 = -s - 4*h + 25 for s.
5
Let x be ((-4)/(-6))/(8/60). Suppose -5*l - 64 = -3*o, -4*l - 3*o + o - 38 = 0. Let z = 15 + l. Solve -12 = -x*r - 3*d, 4*r - z*d + 0*d + 16 = 0 for r.
0
Let v(x) = -4*x - 7. Let a be v(-5). Suppose 2 = 14*l - a*l. Let d = 6 - 4. Solve -l*y - y - 3*f = 9, 0 = 2*f + d for y.
-2
Suppose -2*x - 4*j = -52, 0 = 4*x - j + 3*j - 92. Let g = -20 + x. Solve -4*n + 15 = p, -5*n = g*p + p - 24 for p.
3
Let c be 13/(91/(-14))*206/(-4). Let x = c - 101. Solve -3*n = -x*f - 22 + 1, 5*n - 34 = 3*f for f.
-3
Let s be (-2)/(-16) + 30/16. Solve 0 = -5*p - 3*k - 30, -s*p - 2*k - 4 = -4*p for p.
-3
Let l = 368 - 366. Solve 6 = -3*k + l*y - 3, 2*k + 3*y = 7 for k.
-1
Suppose -2*s - 6*s = 48. Let a be (s/(-4) - -1)*(-6)/(-5). Solve -2*p - 3*z - a = -6*p, 0 = -4*p - 2*z + 18 for p.
3
Suppose 2077*o - 2090*o = -65. Solve 0 = 5*p + o*b - 5, -2*b + 2 = 0 for p.
0
Suppose -540 = 4*q - 9*q. Let s = -100 + q. Solve -p + 4*c = -0 - 5, -4*p = -2*c + s for p.
-3
Suppose 15*n - 2*o - 15 = 10*n, 2*n + 5*o - 6 = 0. Solve 3 = 3*g - n*j, 4*j - 14 = -3*g + 10 for g.
4
Let w be 126/35 + (1 - (-9)/(-15)). Suppose -w*c + 12 = -0. Solve 5*v - 3*j = 31, -v + c*j + 26 = 3*v for v.
5
Let q be (81/216)/(1/8). Solve 3*x + 6*n - q = 3*n, 4*x - 3*n - 11 = 0 for x.
2
Suppose -5*h + 3*t + 85 = 0, -4*h - 5*t + 78 = 10. Let g = h + -13. Suppose -o + 29 = g*z + 2*o, 4*z = 5*o + 5. Solve 2*y = -z*f - 31, 3*y = f - 6 + 2 for f.
-5
Let o be 49 + -6 - 0/((-4)/2). Suppose -5*g = 4*x - 22, 0 = 5*g - 5*x + 3 - o. Solve -g = 2*l - 2*s, 5*l = 2*s - 4*s - 1 for l.
-1
Let h(s) = -s - 32. Let r be h(-8). Suppose 0 = -m - 0*m - 9. Let t be 15/10*r/m. Solve t*j = 2*x - 6, j + j = 4*x - 6 for x.
1
Suppose -14*u - n = -15*u + 17, 4*u + 4*n = 52. Solve -2*y + 3*j + u = -0*y, -3*y - 3*j = 0 for y.
3
Let i(v) = v**2 + 5*v + 9. Let k be i(-2). Let g = 1 - -2. Let s(u) = -u**2 - 8*u + 4. Let n be s(-8). Solve -g*t + 2*c - k = c, -n*c = -12 for t.
0
Let r = -2 - -6. Let i be 33/r + 4/(-16). Let n = i + -3. Solve -4*b + 5*m - n = 0, -7*b + 4*m = -2*b + 13 for b.
-5
Suppose -210 = -8*x + 438. Let p = -74 + x. Let r(b) = -2*b - 5. Let z be r(-4). Solve 3*u - 2*i + 1 = -z, 3*u + i = -p for u.
-2
Let q be ((-33)/3 + 12)*0. Solve -4*m = 2*t - 20, q*m + 5 = m for t.
0
Let d(y) = -y**3 - 3*y**2 + 4*y. Let x be d(-4). Suppose x = -4*q - 8 + 28. Suppose -3 = b - 6. Solve -2*n - 3 = -3*w + b, -w + q*n = 11 for w.
4
Suppose -2*s - 22 = -5*b, 3*b - 2*b + s = 3. Let z = b + 1. Let d(k) = 29*k - 12. Let v be d(1). Solve -5*y - 3*a + v = a, -a = z*y - 8 for y.
1
Let k be 7/((-7)/2) + 14. Suppose 4*v + 0*v = k. Solve -2 + 0 = n - 2*r, v*n + 6 = 5*r for n.
-2
Let p = -913 + 918. Solve 8 = p*g + i - 12, -4*i = -g + 25 for g.
5
Let g(b) = b**2 - 8*b - 9. Let s be g(12). Let l = s + -19. Solve -5*i = 5*z - 30, 0 = i + i + 4*z - l for i.
2
Suppose -116 - 28 = -24*m. Solve -5*x - m = -6*x - q, 0 = 3*x - q - 10 for x.
4
Let f = 12 - 6. Suppose -5*m = -2*w - 3*m + f, -5*w - 3*m + 23 = 0. Suppose 4*h - 8 - w = 0. Solve 2*c - 18 = 4*n, -h*c - 2*c + 3*n = -17 for c.
1
Let b(j) = -j**2 + 6*j + 9. Let o be b(7). Let i(c) = o*c**2 + 6 + 3 - 3*c**2 + 2*c**2 - 9*c. Let f be i(9). Solve -h + f = -4*h - 5*d, -d + 9 = -3*h for h.
-3
Suppose 30 = 6*z, -m + 1 + 17 = 3*z. Solve 0 = -j + 3*o - 12, m*o - 8 = 3*j - 2 for j.
3
Let t(c) = c**2 - 3*c - 25. Let o be t(-4). Suppose 9 + 12 = 5*g - b, 4*g + o*b = 32. Solve n = g*j + 9, -10 = 4*j + j for n.
-1
Suppose 2*q + 3*n + 45 - 54 = 0, -4*q + 9 = -3*n. Solve q*l - 8*l + 15 = t, 0 = -5*l + 4*t + 40 for l.
4
Suppose 3*o - 9 = -2*m, 16 = 3*o + m + 4. Solve 4*l - 15 = 3*w + 12, o*l = -3*w for w.
-5
Let q(m) = -m**3 - m. Let g(k) = 4*k**3 - 21*k**2 + 7*k + 44. Let c(d) = g(d) + 5*q(d). Let u be c(-21). Solve -5*p - 6 = u*h - 3*p, -2*h + p = 6 for h.
-3
Let y(t) = t + 38. Let a(k) = -k**2 + 3*k - 3. Let s be a(6). Let m be y(s). Solve -4*d + 3*f - m = 0, -f - 2 = -1 for d.
-5
Let u(t) = -t**3 - 5*t**2 - 4*t + 2. Let r be u(-4). Let a be (2*-22)/(r/(-1)). Suppose 2*i = 5*i + b - 2, i - 5*b = a. Solve l = 1, -3*j + 3*l - 7 = i*l for j.
-2
Let i(h) = -20*h**2 + 14*h**2 + 3*h + 6 - h + 7*h**2. Let p be i(4). Solve 2*d = -8, -6*b - 5*d - p = -b for b.
-2
Let u(h) = -h + 14. Let m be (-10)/(-3) + (-13)/39. Let q = 6 + m. Let o be u(q). Solve 2*a + 5 = 5*t, 0*a - o*a = -t + 1 for t.
1
Let t be (2 - 4/(-6))*3. Suppose 5*v - t = 7. Let i be 1 + 1/3*v. Solve 0 = -i*b + 3*b - 3*s + 8, -2*b - 8 = -2*s for b.
-2
Su | {
"pile_set_name": "DM Mathematics"
} |
*(17/3)/(w*w/w**11) assuming w is positive.
w**(44/3)
Simplify p**(-4)/(p*p/(p*p**(-2)/p*p*p)*p) assuming p is positive.
p**(-7)
Simplify (p**(2/3))**(5/2)*p**(1/5)*p**1 assuming p is positive.
p**(43/15)
Simplify (u**(2/3)/u*u*u**(-1/5))**(2/37) assuming u is positive.
u**(14/555)
Simplify ((((a/a**(6/5))/a)/a)/a)/a**(11/4) assuming a is positive.
a**(-119/20)
Simplify (y*(y/(y**(-22)*y))/y)**(18/13) assuming y is positive.
y**(396/13)
Simplify r/r**23*r**(1/4) assuming r is positive.
r**(-87/4)
Simplify q**(2/29)*q*q*(q*((q/(q*q**(-2/7)))/q*q)/q*q)/q*q*q*(q**(-1/6)*q)/q**(-1/3) assuming q is positive.
q**(6725/1218)
Simplify (y**(-3/16)*y)**32 assuming y is positive.
y**26
Simplify p*p*p*(p/(p*p**17/p))/p*p*p**(-10) assuming p is positive.
p**(-23)
Simplify ((g*g/(g**(-1/4)*g))/g**(-2/9))/(g/g**(2/29)*g/(g/(g/(g/(g/((g*g**5)/g))*g)))) assuming g is positive.
g**(5785/1044)
Simplify d**(-19)*d*d*d/d**(-2/21) assuming d is positive.
d**(-334/21)
Simplify (l**(-6/5)*l)/l**7*l**(1/2)*l**(-2) assuming l is positive.
l**(-87/10)
Simplify (k**(2/23))**(-3/14) assuming k is positive.
k**(-3/161)
Simplify (h/((h*h*h**(1/6)*h)/h))**0 assuming h is positive.
1
Simplify m**(3/5)/m*m*m*(m*m**(8/7)/m)/m assuming m is positive.
m**(61/35)
Simplify (z/((z*z/(z**(-1)/z))/z))**(-4/35)*z**8*z*z/z**(-6) assuming z is positive.
z**(568/35)
Simplify (l/l**(-1/12)*l/l**(5/2))**(-6/19) assuming l is positive.
l**(5/38)
Simplify (o*o**(-18))/o*o**(-13)*o*o assuming o is positive.
o**(-29)
Simplify (n/n**(-2/49))/n**(-19) assuming n is positive.
n**(982/49)
Simplify (i*i**4)/(i/(i*i*i**(2/61)*i*i*i*i)) assuming i is positive.
i**(612/61)
Simplify (f/(f/(f*f**2*f))*f**4*f)**(1/2) assuming f is positive.
f**(9/2)
Simplify ((m**(1/2)*m)/((m/(m**(-1/8)/m*m))/m))**(-4) assuming m is positive.
m**(-11/2)
Simplify (y**(-3/17)/y)/(y/(y*y*y/y**10*y*y*y)) assuming y is positive.
y**(-105/17)
Simplify (v*v*(v/(v**(-16)/v))/v*v**(-3/8)/v*v)**30 assuming v is positive.
v**(2235/4)
Simplify (f**(-16))**(3/31) assuming f is positive.
f**(-48/31)
Simplify i**(-2)/i*i**(2/7) assuming i is positive.
i**(-19/7)
Simplify ((s/s**6)/s**(-3/2))/(((s/s**(-1/2))/s)/s)**(-39) assuming s is positive.
s**(-23)
Simplify p/(p*(((p*p**(-5))/p)/p)/p)*p*p**(-3)*p/(p*p**(3/7)/p*p)*p*(p/p**(-2/33))/p assuming p is positive.
p**(1301/231)
Simplify (r*r*r/r**0)**(-2/11)/(r**(-1)/(r*r/r**5*r*r*r*r)) assuming r is positive.
r**(16/11)
Simplify (p**8/p)/(p*p**(-1/2)) assuming p is positive.
p**(13/2)
Simplify ((r**(-2/3)*r)/r)/(r**(-2/23)*r) assuming r is positive.
r**(-109/69)
Simplify (d**(-2/5)*d/d**(-2/21))**(-23) assuming d is positive.
d**(-1679/105)
Simplify ((h/(h*(((h/(h*(h*h**1)/h*h)*h)/h)/h*h)/h))/h**0)/(((h/(h/((h**(2/37)/h)/h)))/h)/(h*h**(4/7)*h)) assuming h is positive.
h**(2206/259)
Simplify (u**(-3)/(u/u**(1/4)))**(-2/79) assuming u is positive.
u**(15/158)
Simplify w/(w/(w/(w**(2/17)/w)*w))*w**(-6/11)/w assuming w is positive.
w**(250/187)
Simplify (s**(2/5))**(-2/11) assuming s is positive.
s**(-4/55)
Simplify j**(11/5)*j**(-39) assuming j is positive.
j**(-184/5)
Simplify ((k**(2/5))**36)**(-36/5) assuming k is positive.
k**(-2592/25)
Simplify (s*s**2/s*s)/(s*(s*s**5)/s) assuming s is positive.
s**(-3)
Simplify (m*m**(-6)/m*m*m*m**0)**(6/5) assuming m is positive.
m**(-24/5)
Simplify u**(-1/2)/(u**5*u)*u**(-1)/(u/(u/u**(-4/9))) assuming u is positive.
u**(-127/18)
Simplify (s**(-24)*s)/(s**(-11)/s) assuming s is positive.
s**(-11)
Simplify ((h**0*h)/(h**(3/7)*h))**0 assuming h is positive.
1
Simplify (a**(-5/6)/a)**(-3/2) assuming a is positive.
a**(11/4)
Simplify ((s*s/s**5)/s)/((s*s**2)/s*s) assuming s is positive.
s**(-7)
Simplify ((s*s*s*s/(s*s**(-2/7)*s))/s**4)/(s*(s**(-1/2)*s)/s)**(-5/2) assuming s is positive.
s**(-13/28)
Simplify (x*x**(2/5)*x)**(1/31)/(x*x**(4/3)*((x*x/(x/x**2)*x)/x*x)/x) assuming x is positive.
x**(-2444/465)
Simplify x**18/(x**(1/27)*x) assuming x is positive.
x**(458/27)
Simplify ((f*f**(-2/7)/f*f*f*f)**(-42))**(-3/13) assuming f is positive.
f**(342/13)
Simplify (n**(2/39)/n)/(n**0*n) assuming n is positive.
n**(-76/39)
Simplify (m/m**(4/15)*m*m**(-7/4)*m)**(4/7) assuming m is positive.
m**(59/105)
Simplify (x*x/(x*x/(x/x**(1/4))))**(-10/7)*((x/((x*x/(x*x**(-1)))/x))/x)**48 assuming x is positive.
x**(-687/14)
Simplify h/((h**13*h)/h)*h/h**(-25)*h assuming h is positive.
h**15
Simplify (f**(3/2)*f*f/f**(-3))/(f**(-1)*f)**(-41) assuming f is positive.
f**(13/2)
Simplify d**(1/7)/(d**(-47)/d) assuming d is positive.
d**(337/7)
Simplify (c**(-1/4))**(-4/13)*c/(c*c*c*c/(c*c*(c/(c/(((c*c**(1/7))/c)/c)))/c))*c**(-2/3) assuming c is positive.
c**(-941/273)
Simplify (h*h/h**14*h/(h**(-5)/h))**(-2/79) assuming h is positive.
h**(10/79)
Simplify (v**(-1/2)/v)**8*(v*v**(2/3))**(-1/4) assuming v is positive.
v**(-149/12)
Simplify (f**(5/2)/(f/f**(-10)*f*f))/(f/f**(-1/2)*f)**(-3) assuming f is positive.
f**(-3)
Simplify (o**(-1/19)/o)**(-1/4) assuming o is positive.
o**(5/19)
Simplify ((g/(g**(5/2)/g))/g*g*g*g/(g*g*g**(1/3)*g*g))/(g*g*g**(-1)/g*g)**37 assuming g is positive.
g**(-239/6)
Simplify (a/((a*a**(-2/7)/a)/a))**(-2/25)*a**(-5/6)/(a**(-2/7)*a*a) assuming a is positive.
a**(-2867/1050)
Simplify ((((t*t/t**(-3))/t)/t)/t)/t**(-7)*(t*t**8)/(t*(t*t**6)/t*t) assuming t is positive.
t**10
Simplify ((((f*f**(-2/17))/f)/f)/f)/(f**(-19)*f) assuming f is positive.
f**(270/17)
Simplify (c/(c*(c/((c*c**0)/c))/c*c)*c/c**7)/((c/(c*c*(c/c**(-2/7))/c))/(c/(c**(2/5)*c))) assuming c is positive.
c**(-214/35)
Simplify (q**(-6)/q**(4/7))/(q*q/((q**1*q)/q))**(-43) assuming q is positive.
q**(255/7)
Simplify ((i**(-3/2)*i)/i**(2/9))**(1/22) assuming i is positive.
i**(-13/396)
Simplify (q/(q*q/(q*q**(-2/9)*q)*q)*q)**28 assuming q is positive.
q**(196/9)
Simplify (((u*u*u**(2/7))/u)/u)**(-42)*(u/(u**(-1/3)*u))**(12/7) assuming u is positive.
u**(-80/7)
Simplify q*q*q**(-6/13)*q*q**(-1/8)*q assuming q is positive.
q**(355/104)
Simplify (w**(-2/15)*w*w*w**(-1/10))/(w**(-6)*w*w**(-2)) assuming w is positive.
w**(263/30)
Simplify (a*a*a/a**5*a*a/(a**(6/11)*a))**23 assuming a is positive.
a**(-391/11)
Simplify s*s**(-6)*s*s**9/s assuming s is positive.
s**4
Simplify (o*o**(3/4)*o/((o*o*o**0*o*o)/o*o))**(-3/34) assuming o is positive.
o**(15/136)
Simplify l**2*(l*l/(l*l**(2/17))*l)/l*(l**(-2))**(-1/3) assuming l is positive.
l**(181/51)
Simplify (l**(1/7)/(l**(-2/5)*l))**(1/15) assuming l is positive.
l**(-16/525)
Simplify (c/(c**3/c)*c/(c/(c*(c**(-2/21)/c*c)/c*c)*c))/(c*c**(-1))**(-5/2) assuming c is positive.
c**(-23/21)
Simplify ((p/(p*p**(-2)*p))/(p/(p/(p/(p**(-2/11)/p*p*p)))))**(3/20) assuming p is positive.
p**(27/220)
Simplify n**5/n**(2/7)*n/(n/(n**(1/15)*n))*n*n/(n*n/n**8) assuming n is positive.
n**(1447/105)
Simplify (w*w*w/(w*w/w**(-1/4))*w*w*w*w)**42/((((w**(-3/8)/w*w)/w)/w)/w**7) assuming w is positive.
w**(1671/8)
Simplify (q*((q*q*q*q*q*q**(-6)/q)/q*q)/q)**(-47) assuming q is positive.
q**94
Simplify (r**(-2/3)/r)**(-4/19)/(r**5/(r**(2/15)/r)) assuming r is positive.
r**(-524/95)
Simplify c**19*c/c**(4/13) assuming c is positive.
c**(256/13)
Simplify (b**(-9/2)/b)/b**(-1/11) assuming b is positive.
b**(-119/22)
Simplify (v**15*v)/((v*(v**9/v)/v)/v) assuming v is positive.
v**9
Simplify (i*i*i*i*((i/i**(-12/7))/i*i)/i*i)/(i*i*i/i**(2/3)) assuming i is positive.
i**(92/21)
Simplify (x**(-2/7))**34 assuming x is positive.
x**(-68/7)
Simplify (j**(2/5)/j)**(-35)*(j**(-1/2)*j)/j**(3/8) assuming j is positive.
j**(169/8)
Simplify (u**(-1/4)*u**(1/7))/(u/(u*((u/((u*u*u**2/u)/u))/u)/u))**(-28) assuming u is positive.
u**(2349/28)
Simplify ((o/o**(-1/4))/o)**(-32)*(o**(2/9)/o)/o**(2/5) assuming o is positive.
o**(-413/45)
Simplify (h**(-2/3))**(-6) assuming h is positive.
h**4
Simplify (g*g**(2/3)*g/(g*(g**5*g)/g*g))**(-1/43) assuming g is positive.
g**(13/129)
Simplify (s*s**(-2/3))**(15/7)/(s**(-7)/(s/(s*s/(s**(-2/5)*s)))) assuming s is positive.
s**(256/35)
Simplify (l/(l**(1/6)/l))/l**(-8) assuming l is positive.
l**(59/6)
Simplify (((c*c**(3/2)/c)/c)/((c*c**(-5)*c)/c))**(-3/25) assuming c is positive.
c**(-27/50)
Simplify (t**(4/7)/(t*t/(t**1/t)))/(t**0)**49 assuming t is positive.
t**(-10/7)
Simplify l**5*l*(((l*l**(1/2))/l)/l)/l*l*l*((l*l**(1/4))/l*l)/l**(1/2) assuming l is | {
"pile_set_name": "DM Mathematics"
} |
0*q**4 - 95*q**3 - 25*q**2 - q**4 - 2*q**3 + 2*q**3 + (12 - 12 + 5*q**4)*(0 + 2 - 1).
5*q**4 + 2*q**3 - 25*q**2
Expand (5 - 5 - 7*v)*(-80 + 92 + 132 + 163).
-2149*v
Expand 387*p + p**5 - 387*p + 10*p**4 + 0*p - 2*p**5 + 0*p + (-3 + 3 - 2*p**3)*(-3*p**2 + p**2 + 4*p**2).
-5*p**5 + 10*p**4
Expand (2 - 3 - 1)*(-65*y - 79*y + 57*y).
174*y
Expand (-6 + 3 - 6)*(-2 + 1 + 2)*(-10*p + 15*p + 6*p).
-99*p
Expand (-83*n**4 - 69*n**4 - 51*n**4)*(-1 + 3 - 4) - 2*n**4 + 2*n**4 + n**4.
407*n**4
Expand (-3 + 3 - 2*i)*(0*i**2 - i**2 - i**2) - i**3 + 2*i**3 + i**3 + (-2*i**2 - 3*i + 3*i)*(-286 + 286 - 156*i).
318*i**3
Expand (9*r**2 + 7 + 5 - 11)*(-10*r + 9*r - 1 - 1).
-9*r**3 - 18*r**2 - r - 2
Expand 0*c**2 + 0*c**2 + 6*c**5 + (4*c**4 - 3*c**4 - 10*c**4)*(-2*c + 3*c + c).
-12*c**5
Expand (-i**3 - 2*i**3 + 2*i**3)*(52 + 79 - 34)*(1 + 1 + 0).
-194*i**3
Expand -2 + 3 - 9*d - 2 - 2*d + 4*d - 3*d + (-5 + 2 + 1)*(d + 3*d - 5*d) - d - 4*d + 2*d.
-11*d - 1
Expand (-2*d + 4*d - d)*((3*d**2 - 5*d**2 + 3*d**2)*(-1764 + 1764 - 17*d) - 5*d**3 + d**3 + 3*d**3).
-18*d**4
Expand (127*d - 106*d - 102*d - 1)*(0 - 2 - 1).
243*d + 3
Expand -2*w**2 + 2*w**2 + w**4 + (-5*w**2 + 14*w - 14*w)*(0*w**2 - w**2 - w**2) + 3*w**4 - 2*w**4 + 2*w**4.
14*w**4
Expand (g + 2*g - 4*g)*(109*g + 144*g + 7*g) + (2*g + g - 4*g)*(-4*g + 4*g + g).
-261*g**2
Expand (-6*u**2 + 6*u**2 + 20*u**4)*(-2 + 2 + 2)*(4 - 4 + 2*u)*(-7 - 2 + 48).
3120*u**5
Expand (-2 + 2 - 3*o**2)*(2 - o**2 - 5*o**2 + 3*o**2) + (o**2 - o + o)*(-2*o**2 - 2*o + 2*o) - 2*o + 2*o - 2*o**4.
5*o**4 - 6*o**2
Expand (0*o - 4*o + o)*(-4 - o + 4) + (0*o + 4*o - 2*o)*(-9*o + 33*o - 6*o - o - 2 + 2 + (2 + 0 - 1)*(4*o - 2*o - 4*o)).
33*o**2
Expand 161*d**4 - 851*d + 851*d + (0*d**4 - 3*d**4 + d**4)*(-2 + 2 + 2).
157*d**4
Expand 2*y - 6*y + 0*y + (-1 - y + 1)*(-5 + 1 + 2) + 2*y + 0 + 0 - 3013 - 32*y + 3013 + 0*y - 2*y + 4*y.
-30*y
Expand ((-2 + 3 - 3)*(3*y**2 - 3*y**2 - 2*y**2) + (2*y**2 + 2*y - 2*y)*(-4 + 13 + 4))*(6*y**2 - 2*y**2 - 2*y**2).
60*y**4
Expand (-18*i**3 + 210121 + 9*i**2 - 210121)*(2 - 6 + 5)*(6 + 0 - 3).
-54*i**3 + 27*i**2
Expand (21*v**3 - 21*v**3 - 11*v**4)*(v - v - 2*v) - 3*v**2 - v**5 + 3*v**2.
21*v**5
Expand (-7*s**5 + 3*s**5 + s**5)*(0 - 2 + 3 - 1 + 1 + 2 - 6 + 1 + 3 + (-1 - 1 + 0)*(3 + 0 - 5) + 5 - 2 + 0 + 0 + 1 + 3).
-36*s**5
Expand (2*x**3 - 4*x**3 + 4*x**3)*(-7*x + 12 - 12) - x**2 + 4*x**4 - 1 - 1 + 0.
-10*x**4 - x**2 - 2
Expand (-2*h**3 - 2*h**2 + 2*h**2)*(5 + 4 - 5)*(-2 + 0 + 1 + 4 + 1 + 1 + 0 + 1 - 2 + (0 + 0 + 1)*(-3 + 4 + 0) - 1 + 5 - 3 + 1 + 3 - 5).
-40*h**3
Expand 2*v**5 - 8*v**5 + v**5 + 3*v**5 + 0*v**5 - v**5 - v**5 + v**5 + 2*v**5 + (2 - 6 + 2)*(2*v**4 - v**5 - 2*v**4) - 6*v**5 + v**5 - 52*v**5.
-56*v**5
Expand (3*t**2 - 3*t**2 - t**2)*(-72*t + 8*t - 20*t)*(-3 + 3 + t).
84*t**4
Expand (0*a - a - a)*(-162*a - 180*a + 385*a) + (3 + 2 - 4)*(-a**2 + 2*a**2 - 2*a**2).
-87*a**2
Expand -6*a**2 + 4*a**2 + 3*a**2 + (2*a - 3*a - a)*(-1 - 2*a + 1) + 6*a**2 - 4*a**2 + 0*a**2 + (0 + 2 - 3)*(4*a**2 - a**2 - a**2) + 2*a**2 - 2*a**2 - 4*a**2.
a**2
Expand (1364 - 1108 - 229 + 1621 + 4152)*(4*t - 2*t + 0*t).
11600*t
Expand (38*a**3 + 5*a**2 - 14*a**4 + 24*a**4 - 9*a**4)*(2*a + 3*a - 3*a).
2*a**5 + 76*a**4 + 10*a**3
Expand (0*r**2 - 2*r**2 + 5*r**2)*(1 - 3*r**2 - 1) - 5*r - 2*r**4 + 5*r + 8*r - 5*r - 92*r**4 + 81*r**4.
-22*r**4 + 3*r
Expand (-2 - 21 - 8)*(5 - 8*c - 5).
248*c
Expand -2*m**2 - 2*m**2 + 5*m**2 + (-6*m - m - 3*m)*(-2*m - 3 + 3).
21*m**2
Expand (2*o**4 - o**2 + o**2)*(-1 - 3 + 3) - 6*o**4 + 3*o**4 + o**4 - 8*o**2 - 3*o**4 + 5*o**2 + 2*o**2.
-7*o**4 - o**2
Expand (5 - 5 - 1)*(1 - 2*k - 1)*(74 + 25*k - 29*k - 4).
-8*k**2 + 140*k
Expand (-4 + 4 + 4*o)*(-o - 2*o + 4*o) + (2 + 4 - 1)*(-2*o**2 + 2*o**2 + 4*o**2).
24*o**2
Expand 2*x**5 - 3*x**5 + 0*x**5 + (x - x + 2*x**3)*(0*x**2 + 4*x**2 - 2*x**2) + 2*x - 51*x**2 + 1 + 229*x**2 - x**5 + 76*x**2.
2*x**5 + 254*x**2 + 2*x + 1
Expand (5*i - 5*i - 2*i)*(-208 - 84 - 134)*((2 + 0 - 3)*(-7 + 1 + 4) + 0 - 3 + 2 + 4 - 3 + 0).
1704*i
Expand (0 - 2 + 0)*(d**2 - 3*d**2 - 2*d**2) + d**2 - 3 + 3 - 25 - 6*d**2 + 25.
3*d**2
Expand (l + 0*l + l)*(-1 - 2 + 1) + 6*l - 3*l - l + 0 - l + 0 + (-7 + 4 - 4)*(-2*l + 2*l + l) + 4 - 4 - l.
-11*l
Expand (15*k - 3*k + 5*k + k - 4*k + 4*k + 0*k - k + 3*k + (3 - 2 - 2)*(1 - 1 - k) + 3*k - 3*k - k - 3*k + 4*k - 2*k)*(1 - 1 + 2).
38*k
Expand (57 - 29 + 297*c - 27 + 263*c)*(-c - 2*c + 2*c).
-560*c**2 - c
Expand (w - 4*w + w)*(10 + 4 - 9 + 3)*(1 + 17*w**4 - 1).
-272*w**5
Expand v**2 + 2*v**2 - 4*v**2 + 26*v**2 + 108*v**2 - 69*v**2 + 6*v**2 - v**2 - 4*v**2 + 0*v + v**2 + 0*v + (-2*v + 4*v + 0*v)*(-2*v - 1 + 1).
62*v**2
Expand (-7*b**3 + 5*b**3 + 3 + 2)*(-b**2 - 3*b**2 + 10*b**2) + 5*b**5 + 5*b**5 - 3*b**5.
-5*b**5 + 30*b**2
Expand (3*x - 2*x + x)*(-12 - 5 + 5)*(-1 + 1 + 1)*(2*x - 3*x - 3*x).
96*x**2
Expand (-2 + 4 - 3)*((-2*x - x + 4*x)*(-2*x + 2*x + x) - 216*x**2 - 251*x**2 + 670*x**2).
-204*x**2
Expand (0*b**3 + 3*b**3 - 5*b**3)*(-b - 3*b + 2*b + (2 + 1 - 2)*(2*b + b - 5*b)).
8*b**4
Expand 21*g**2 - 12*g**2 - 192*g**2 + 3*g**2 - 6*g**2 + g**2 + (-5*g - 4*g + 4*g)*(-g + 2*g - 2*g).
-180*g**2
Expand (-1 + 1 + 621*x - 1448*x)*(-5 + 3 + 3).
-827*x
Expand (0 + 3 + 0)*((-5 + 4 + 0)*(-2 + 0 + 1) - 15 + 51 - 19)*(-2*g**4 + 0*g**4 + 0*g**4 + 2*g**4 + 0*g**4 - 3*g**4 + (-3*g**4 + 5*g**4 - 3*g**4)*(-2 + 2 + 2)).
-270*g**4
Expand (3 - 1 - 3)*(532 - 532 - 4*v + 2*v + 0*v - 4*v + (-2 + 0 + 0)*(2*v - 6*v + 5*v)).
8*v
Expand 148*x + 10 + x**2 + 3*x**4 - 299*x + 150*x + (-1 - 2*x + 1)*(-x**3 - 2*x**3 + 2*x**3).
5*x**4 + x**2 - x + 10
Expand (3*f + 2*f - 2*f)*(713 + 810 - 1440).
249*f
Expand (2 - 1 - 2)*(49*k**4 + 69*k - 69*k).
-49*k**4
Expand -2*l + 3*l - 3*l + (-9*l + 4*l - 20*l)*(4 + 1 - 3) + 2 + l - 2.
-51*l
Expand -311*i**4 + 2795 - 2795 + 933*i**4 + (-4*i - i + 3*i)*(4*i**3 - 3*i**3 + 0*i**3) + i**4 - 5*i**4 + 3*i**4.
619*i**4
Expand (v**3 + v**3 - 6*v**3)*(0*v**2 + 17*v**2 - 4*v**2).
-52*v**5
Expand -4*n**4 + 2*n**4 + n**4 + (42*n + 86*n + 26*n + (-2*n - 4*n + 4*n)*(-5 + 3 + 3))*(n**3 + n**3 - n**3).
151*n**4
Expand -r**3 - 3*r**3 + r**3 + (4*r**2 + 2*r**2 - 4*r**2)*(-10 - 9*r - 2*r + 3*r) + 3*r + 14*r**2 - 14*r**2 + r**3.
-18*r**3 - 20*r**2 + 3*r
Expand (c - 2518 - 2*c + 2529)*(1 + 2 + 2 - 2*c).
2*c**2 - 27*c + 55
Expand (5 - 5 - 3*k**3 + (-4 + 4 - 2*k)*(-2*k**2 + 3*k**2 + 0*k**2) + 2*k**3 + 0*k**3 - 4*k**3)*(3 + 0 - 6) + (-1 - 2*k + 1)*(3*k**2 + 0*k + 0*k).
15*k**3
Expand 4*b - 18*b**5 + 11*b**5 - 3*b**2 + 5*b**5 + (-2 + 3 - 2)*(-5*b**3 + 5*b**3 + b**5).
-3*b**5 - 3*b**2 + 4*b
Expand (-3*c**2 + 0*c**2 + c**2)*(-287 + 43 - 282 + 146).
760*c**2
Expand (o - 3 + 3)*(-o - 1 + 1) + ((-2 + 3 + 2)*(-2*o + 5*o + 0*o) + 5*o - 2*o - 2*o)*(-9*o + o + 3*o).
-51*o**2
Expand (29 - 28 - 33)*(-x + 2*x + x)*(-3*x**2 - x + x).
192*x**3
Expand -4*s**5 + 5*s**5 + 0*s**5 + (168 - 160 + 468)*(-2*s + 2*s + s**5).
477*s**5
Expand -6*q**3 - q**3 + 3*q**3 - 71*q**2 - q**3 + 71*q**2 + (q**2 - q**2 + 2*q**2)*(-2*q + 0*q + 4*q).
-q**3
Expand (-4*r**4 + r**4 + 2*r**4 + (-2*r**3 + r**3 + 2*r**3)*(-2 + 2*r + 2) - 48*r**4 + 152*r**4 - 55*r**4)*(-3 - 2*r + 3)*(3 - 1 - 3).
100*r**5
Expand (-5 + v**4 + 5)*(0 - 2*v + 0) + 2*v**5 - 2*v**5 + 2*v**5 + (-4*v - 2*v + 4*v)*(2*v**4 + 0*v**4 + 0*v**4).
-4*v**5
Expand -26*z + 6*z**4 + 26*z + (3*z**2 - z**4 - 3*z**2)*(-2 + 4 - 1).
5*z**4
Expand (3 - 3 - 5*z)*(30 + 182 + 16).
-1140*z
Expand (9 - 16 - 23)*(-2*b + 3*b + 0*b) - 7*b + 7*b - 4*b.
-34*b
Expand (5 - 3*t - 5)*(3*t - 3*t + 3*t)*(-6*t**3 + 6*t**3 + 6*t**3 - 3*t).
-54*t**5 + 27*t**3
Expand (2 + m - 2)*((m + 4 - 4)*(-5*m + 2*m + 4*m) + (-28 + 28 - 83*m)*(1 - 2*m - 1)).
167*m**3
Expand (-3*c - 3 + 3)*(16 - 7 - 1) - 1 - 2*c + 1 + (-2*c + 5*c - 4*c)*(-3 - 1 + 5) + 0*c + c - 2*c + c + 5 - 5.
-27*c
Expand (2*v + 7*v + 4*v)*(10 - 3 - 1).
78*v
Expand (-37 + 51 + 27)*(2 - 2 + 6)*(-5 - k**2 + 5).
-246*k**2
Expand (-6 + 3 + 0)*(45*s - 26*s - 18*s) + 0 + 0 + s.
-2*s
Expand (-4*v + v**2 + 4*v)*(5 - 5 - 3)*(2 + 4 - 2).
-12*v**2
Expand (-2*o**3 + 3*o**3 - 3*o**3)*(1 - 34 - 3).
72*o**3
Expand (-10 + 5*w + 0*w + 13)*(-w - w + 0*w).
-10*w**2 - 6*w
Expand 1 + f - 1 + (-4 + 4 + f)*(-3 + 1 + 4) + f - 3*f + 3*f + 4 + f - 4 + 120*f + 41*f + 87*f.
253*f
Expand (3 - 3 + l)*(90*l**3 + 236*l**3 - 438*l**3 - 1129*l**3).
-1241*l**4
| {
"pile_set_name": "DM Mathematics"
} |
um -3.2 and 7655.
7651.8
Work out 12.269 - -0.1.
12.369
Work out 0.8 + 656045.
656045.8
What is 0.2 plus 0.284412?
0.484412
Add 3.148 and -0.5.
2.648
Calculate 0.043 - 2228.
-2227.957
-722+0.1
-721.9
What is 101697 less than -6?
-101703
Sum 158 and 10.
168
Work out -2278 - -6030.
3752
-0.0481444+-0.4
-0.4481444
What is -3291 plus 0.4?
-3290.6
Calculate -0.2 + -194757.
-194757.2
Calculate -11402 - -42.
-11360
Sum 0.5294 and -0.2.
0.3294
What is 37.9 + 96?
133.9
What is -0.7786 take away -883?
882.2214
Subtract -0.2 from -228.29.
-228.09
What is -0.2117 less than -0.069?
0.1427
What is 0.04 plus -0.04?
0
What is 0.0441483 take away 2?
-1.9558517
What is 4 minus -10162?
10166
What is -0.4 plus 375969?
375968.6
What is 198.134 + -53?
145.134
Add 16 and -3.3.
12.7
-42.526 - 0.04
-42.566
What is 0.019 minus 0.14?
-0.121
Total of 2.503 and 0.117.
2.62
What is -0.1043 - -61?
60.8957
What is -3.545 - -3.01?
-0.535
0.255 - -1.365
1.62
Subtract 1.231 from -5.
-6.231
What is -51.651 plus 0.08?
-51.571
What is 659.5 less than 4?
-655.5
-2495+-2
-2497
What is 11756 take away 0.13?
11755.87
-335 + 42.5
-292.5
Subtract -1.6 from -16645.
-16643.4
Calculate -187.03 + 5.
-182.03
What is the distance between -1.8 and 56?
57.8
-2+784
782
Work out -19251.5 + 0.03.
-19251.47
What is 0.5 + -97041?
-97040.5
Work out -0.4 + 3704.
3703.6
-578.05+0
-578.05
Add 0.36 and -16334.
-16333.64
What is 817 - -2?
819
What is -2.21 + -0.0346?
-2.2446
What is 4.06 minus -7.8?
11.86
Total of 0.33 and -232.
-231.67
Add -7 and -0.0064.
-7.0064
What is -21 minus -0.175?
-20.825
Add 3444.2 and -2.
3442.2
What is -166 - 25557?
-25723
What is -38 + 23?
-15
What is -0.999 take away 2375?
-2375.999
What is -0.97 minus -0.45?
-0.52
Add -6571800 and -0.5.
-6571800.5
Put together 24 and 1605.
1629
294393 - -2
294395
Total of 149.819 and 28.
177.819
What is -6 minus 754?
-760
Calculate -61 - -3.82.
-57.18
73 - -0.651
73.651
What is the distance between -21997 and 1.4?
21998.4
Put together 11946835 and -0.5.
11946834.5
Calculate -184 + -0.2718.
-184.2718
What is 5464 + 0.4?
5464.4
Put together -1191.6 and -0.1.
-1191.7
Calculate 84790 + 8.
84798
Work out -0.2 - -90.
89.8
Work out 0.03604 + -0.08.
-0.04396
-0.28433 + -0.3
-0.58433
What is -188 plus -261?
-449
What is 0 less than -262.4?
-262.4
Subtract 4 from 2.59.
-1.41
Subtract 27446 from 4.
-27442
What is -10 minus -1238?
1228
What is the difference between 45.95 and 0.2?
45.75
90 - 0.036
89.964
Subtract 177 from 75.4.
-101.6
Put together -25.2 and 1647.
1621.8
Subtract 3 from -4122117.
-4122120
-4129+52.4
-4076.6
Subtract -63 from 112.
175
Calculate 335523 - 0.09.
335522.91
Add together 0.46709 and 0.4.
0.86709
Calculate -1.43 - 1.
-2.43
Work out 2 - -11454.
11456
Put together -79.8 and -49.
-128.8
Add 0.7 and 3.48.
4.18
What is the difference between 5476.2 and 56?
5420.2
Work out 0.452 + -3.6.
-3.148
Add together 14.461 and 7.7.
22.161
Subtract 36.1 from 2.
-34.1
What is the difference between 8.7 and 2.2?
6.5
Add 1 and -0.0219.
0.9781
What is -1492303.2 take away 3?
-1492306.2
What is 0.2315 minus 0.235?
-0.0035
What is -1.0142 take away 7?
-8.0142
Add 27 and 1165.
1192
What is -1 take away 1598?
-1599
What is -54834 + 2.55?
-54831.45
Add together 25 and 11.206.
36.206
What is -0.4 less than -0.16948?
0.23052
What is 33382 less than 0.4?
-33381.6
Calculate -1.194 - 1.16.
-2.354
Add together 29345 and -0.06.
29344.94
What is 0.7 less than -1248?
-1248.7
Work out 1945 + -256.
1689
Subtract -3 from 1203.
1206
-3 - 0.2523
-3.2523
What is the distance between -0.0017 and 11?
11.0017
Calculate -172.2 + 4.
-168.2
What is -2877 plus -17?
-2894
What is -0.1 take away -6845?
6844.9
-331+-44228
-44559
Calculate 3 - 0.68.
2.32
28935+0.5
28935.5
Add together 806709 and 0.3.
806709.3
Calculate 25 + -415.
-390
Add together -904558 and -0.3.
-904558.3
What is -156281 minus 0?
-156281
What is -0.0962 - 0.5?
-0.5962
What is the distance between 0.7 and -0.0669?
0.7669
Total of -53198 and 0.24.
-53197.76
What is 102302 minus -0.17?
102302.17
Work out -2.63 - -0.107.
-2.523
Subtract -21018 from -0.076.
21017.924
What is -0.3 minus -366?
365.7
Put together -0.05533 and 272.
271.94467
What is the difference between -0.03917 and -0.106?
0.06683
What is -4 take away 14.7?
-18.7
Work out 32870 + 3.
32873
-0.1+527764
527763.9
What is -0.2 - -0.103177?
-0.096823
What is 0.126 less than 115?
114.874
What is -0.356 take away -1853?
1852.644
What is the distance between 232 and 5.9?
226.1
11 + -25
-14
Sum 3 and -167279.
-167276
Total of -0.2403 and -0.06.
-0.3003
What is -31.8 - -2?
-29.8
Work out 106.5234 - 0.1.
106.4234
Sum 2836 and 7.
2843
Calculate -0.22 - 65.
-65.22
What is the difference between 0 and -26434?
26434
Calculate 6.237 + 3.
9.237
657.606 + 2.5
660.106
Work out 8156 + -0.5.
8155.5
-31.10194 - -0.5
-30.60194
What is -689.91 take away 1?
-690.91
Put together 701 and 0.1921.
701.1921
Calculate 165 - 423.
-258
What is 5.548 + 0.0564?
5.6044
Put together -1687 and 0.4.
-1686.6
What is -9.832 + -0.02?
-9.852
What is -38.8935 + 1.2?
-37.6935
What is -383 + -1.4?
-384.4
Sum -0.0378 and 5.
4.9622
What is -370 plus 4?
-366
Work out 56788 + 4.
56792
Add together -27.75 and -79.
-106.75
Add 6 and -878.8.
-872.8
Sum -97.9 and 0.082.
-97.818
-0.1598+591
590.8402
What is 7435 less than -0.175?
-7435.175
933 + 96.4
1029.4
0.017 - -239.59
239.607
Subtract 267832 from 7.
-267825
What is 4 take away 56.749?
-52.749
-84+52
-32
38 + 0.063
38.063
Calculate -8 - -6.4.
-1.6
Calculate 15.14 + -1471.
-1455.86
What is 1402 minus 97?
1305
What is -2.4 take away 0.02337?
-2.42337
What is -104 + -0.1372?
-104.1372
Subtract 16942.9 from 0.43.
-16942.47
What is 1 take away -19648.99?
19649.99
Work out -974 - -0.05.
-973.95
Total of 186.6 and -0.4.
186.2
What is the difference between 0.0436171 and 4?
3.9563829
What is 7 less than 153043?
153036
Subtract 56.8 from 30.6.
-26.2
What is 0.2 take away -0.0054?
0.2054
-337+268
-69
What is -1 minus 24.471?
-25.471
What is the distance between 4 and -5.079?
9.079
What is 0.3 + 131?
131.3
What is the difference between -210485 and -0.5?
210484.5
Calculate -0.0412 + -9.1.
-9.1412
What is -0.11881 plus 5?
4.88119
Total of -0.12 and -2680.
-2680.12
Calculate 0.2 + 50535.
50535.2
What is 0.2 less than -604?
-604.2
Work out 0.22 - 769.
-768.78
Total of 119573 and 2.
119575
0.028+-0.5
-0.472
-392+3
-389
-3183 - 66
-3249
-0.028 + -75755
-75755.028
What is the distance between 4.7 and 38?
33.3
Add together 0.4 and -150817.
-150816.6
-0.1+9388
9387.9
-306.66+-1
-307.66
Total of -0.1353 and -0.2.
-0.3353
What is 109.6 less than 0.042?
-109.558
Subtract -241 from -2.2.
238.8
Sum -0.049 and 4.5608.
4.5118
-0.4 - 0.0558476
-0.4558476
What is -0.06 + 24?
23.94
What is 0.5 less than -165050?
-165050.5
What is -15 - -25523?
25508
Subtract -0.1532 from -927.
-926.8468
Add -0.2 and 67719.
67718.8
-0.27 - 1.472
-1.742
0.1 + -33643
-33642.9
Calculate -1.23966 - 0.5.
-1.73966
Calculate 9.4 - -0.4.
9.8
What is -1.25418 minus 0.2?
-1.45418
Sum -701 and -15.
-716
What is -8.09 less than 64.3?
72.39
What is -255.47 take away 22?
-277.47
Sum -0.4043382 and -0.4.
-0.8043382
Put together -2 and -5537.9.
-5539.9
69+-0.01
68.99
Sum 42618 and 3.
42621
-0.37+-3741
-3741.37
Calculate -0.01 - 0.9531.
-0.9631
What is 46 + 528?
574
What is -56 - -3472.3?
3416.3
Add 0.09 and 1112.
1112.09
What is -1 minus 19897?
-19898
What is -3473 plus 158?
-3315
Calculate -0.244 + 0.064.
-0.18
What is the distance between -3 and -3701843?
3701840
What is 1135 - 7?
1128
What is 5 plus -281?
-276
What is 98059 less than 0.2?
-98058.8
Put together -19 and 149.
130
What is 0.1 take away -19227?
19227.1
Calculate -11.62 - 1.3.
-12.92
What is 5610 take away -2?
5612
Total of -9 and 0.0085.
-8.9915
Put together -0.642 and -0.894.
-1.536
Calculate 0.1 - 2.3.
-2.2
-31+98.1
67.1
What is -0.4 minus 421?
-421.4
-520 + 2324
1804
-6607 + 407
-6200
What is -0.311 minus -2.5?
2.189
Add -3339 and -4.
-3343
-4+6.2843
2.2843
Sum 0.4 and -33039.
-33038.6
What is -0.39 take away 55.29?
-55.68
Calculate 11 - -90709.
90720
What is -15923 plus 5?
-15918
-2 + -808
-810
What is -0.49 minus 130?
-130.49
Sum 103 and -0.68.
102.32
What is 23.083 take away -1.5?
24.583
What is the difference between 524882 and 3?
524 | {
"pile_set_name": "DM Mathematics"
} |
/(4/((-696)/(-6)))?
-29
What is the value of ((-925)/40)/1 + (35 - (-4464)/(-128))?
-23
Calculate (-128 + 119416/920)/((-3)/25).
-15
-12 - (-5)/((-170)/153)*(9 + -11)
-3
Calculate 12156/(-79014) + (-1)/(26/(-680)).
26
What is the value of -39 + (21 - -13) - (-100)/10 - 59/13?
6/13
What is -54 - -85 - ((-6)/(-10) - 5243/(-245))?
9
What is the value of 28180/704 + 411/(-4521) - 40?
-1/16
What is (44/(-7) + 5)*((-12)/120 - 209/(-165))?
-3/2
What is (-48)/120 - (39/180 + (-34)/(-255))?
-3/4
What is the value of (-2 + (3114/(-162) + 19 - (-1970)/(-45)))*-1?
46
Evaluate 24960/(-546) - (-21)/(588/(-64)).
-48
Calculate 7/(7/10) + 78 + (-76950)/875.
2/35
(-1905870)/(-37370) - (1 + 2*9)
32
What is 2244/14025 - 7/350*-3142?
63
What is ((-453)/(-9060))/(627/(-88) - -7)?
-2/5
What is the value of (-76)/57 - ((-4312)/33)/14?
8
What is the value of (0 - 61) + ((-18)/39 - 12210/(-1443))?
-53
What is the value of ((-42090)/(-322))/(-61)*189/(-30)?
27/2
What is ((-3256)/46398)/((-36)/38)?
2/27
What is (-2245)/(-55) - ((-248)/(-44))/(-31)?
41
7*2 - (-329226)/(-23310) - 7/(525/5)
-4/21
Calculate (1/(-3) - (-112)/(-24)) + (12 - 39 - 4).
-36
Calculate -1*(-10)/15*(567 + -507).
40
Calculate -3*((102/425)/(98/105))/(6/10).
-9/7
Evaluate (36/(-3))/((-39)/169*(-896)/(-96) - -2).
78
15/1230 + 124083/(-1394)
-89
Evaluate (6/27 - 19/(-36))/((-2775)/(-200)).
2/37
Evaluate 2*((27/(-3))/(1281/((-7)/1)))/3.
2/61
Evaluate ((-45)/(-90))/(-410 - -412).
1/4
What is the value of 372/1984*-1 + 186/(-32)?
-6
Calculate (0 + 2/(-14))/((-11888)/(-478492)) - (3 - 10).
5/4
Calculate -10*(-1)/4*(187460/(-5850) + 30).
-46/9
What is (1110/(-12) - -92)/(2/(-200))?
50
Evaluate ((-13362)/68)/131*64/52.
-24/13
Calculate (-90)/(-351)*-3 - 1810/(-325).
24/5
-4 + (1112/105 - (5155/75 - 69))
48/7
What is the value of (-214 - 94227/(-441))*(1/1 - 271)?
90
What is the value of 12940/(-5176)*((-558)/(-15))/3?
-31
Calculate (-204)/170*20 + -14 + -2 + -5.
-45
4/(-42) - 375476/(-3240867)
2/97
Calculate (-135)/(-495)*((-15)/(1125/120))/((-6)/15).
12/11
((52 - -1) + 5)/((16/(-6))/(2200/1650))
-29
(-12)/(-9) - 0 - (-2011600)/(-451200)
-25/8
Evaluate ((-76680)/(-324))/142*-30.
-50
What is 87*(-4)/(-1755) + (-1614)/10491?
2/45
What is (-49 - 0) + 1677 + -1633?
-5
Calculate -25 - ((-429)/(-13) + -59).
1
What is the value of -10 - 18/(-2) - 36/(-1248)*34?
-1/52
What is ((-236)/224 + (-153)/408)*(-63)/48?
15/8
6716/(-28543)*(-3)/18
2/51
Calculate (-3 - -8) + 2*(-4983)/1914.
-6/29
8610/1230 + (-4)/(176/164)
36/11
What is 39/((-351)/(-36)) - (-1250)/(-25)?
-46
What is the value of (179 - 188) + (-14)/(8/4)?
-16
What is the value of (-76)/(-6)*4275/3800*32/(-6)?
-76
What is (7150/(-225))/(-11)*(-10)/((-60)/54)?
26
Calculate (2/4 + 485/10)/((-28)/(-868)*31).
49
Calculate 54/(99 + -45) + (298/6)/(4/(-12)).
-148
74/(-5) - 18798/3615
-20
Calculate 2298957/377286 - (-30)/156.
44/7
Calculate (-10)/(-235)*291024/288.
43
47/14 - 49/14 - 366/3416
-1/4
What is 48/(-132) - 1278/781?
-2
Evaluate ((-8)/(-4) - 1)/((-19)/8664*-12).
38
What is the value of 16/(-26) + (-963648)/(-434980)?
8/5
Calculate (-560)/(-756)*9*45/10.
30
What is (3 - 1675/201) + (6 - -1)?
5/3
(-6)/768 - 41466/768
-54
What is 320/(-22) + (112/1008)/((-10)/(-1350))?
5/11
What is the value of (165/(-220))/(7*3/42 + (-699)/1380)?
115
What is (-643)/57 - (-92990)/8205?
1/19
What is the value of ((29 - 48)/19)/((-2150)/220 + 10)?
-22/5
What is the value of (1903/(-1925) - -1)/((-2071)/95 + 21)?
-1/70
Calculate 45/(-70)*(-1428)/(-7650)*(-5)/(-8).
-3/40
What is the value of (-121147)/65233 + 3/(21/(-904))?
-131
((-7637)/(-4364))/((-474)/(-4) + -3)
1/66
Calculate 75/(-4) - ((-3)/72)/(18/(-108)).
-19
-13 + ((-10)/4)/((-26)/14144*-40)
-47
(-5 - 19)/168 + ((-1852)/14)/(-2)
66
(-16815)/(-885) + 148/(-6 - -4)
-55
Calculate (-70)/(-28)*(258/75 + -4).
-7/5
Calculate 12/((-10)/5) - (-1034)/47.
16
Calculate -447 + 394 - 69/(-1).
16
Evaluate (-26)/(-2457)*2653 + (-4)/54.
28
What is (-9 + (13 - (-350)/(-98)))/(957/77 - 3)?
1/22
What is ((68/(-5))/(-4) - 2)/(675/23625)?
49
What is (-12)/(-48) - ((-73)/34)/(22*(-35)/385)?
-14/17
What is the value of -91 - 39*(-23)/483*14?
-65
Calculate (-1683)/(-33) - 20490/402.
2/67
Evaluate 25*(-31)/(-1550) - 35/130.
3/13
Evaluate 52*(20185/880 + -23).
-13/4
((-32)/4 - (-507)/26)*((-2 - -10) + -6)
23
Evaluate (4 + (-459)/90)/(30/300) - 59.
-70
Evaluate 14362/1806 + (-10)/2520*-12.
8
What is the value of -10 - (-2007)/324 - 72/96*(-16)/(-27)?
-17/4
Evaluate ((-235)/282)/((-40)/(-144) - (-3)/(-9)).
15
What is 1107/693 - 233/((-84579)/198)?
15/7
What is (-2)/(4/(-170)) + 19/(-323)*0*-1?
85
What is (640575/390)/(-73)*(-4)/(-2)?
-45
What is the value of (-17)/2*(8118/990 - 91/5)?
85
What is the value of ((-6)/4)/(((-231)/14)/3)?
3/11
-1 + (-302)/5 - (-7044)/17610
-61
What is (71577/(-117126))/(2/16)?
-44/9
Evaluate (-1)/(15 - (-285)/(-95) - 370/32).
-16/7
2850/36 + 819/(-54) + 21 + -3*2
79
Evaluate -1*26*6/1092*742.
-106
Evaluate (-160)/12*(-1041)/20820.
2/3
Evaluate (-244)/(-15) - ((-336)/(-8) - 26).
4/15
Calculate (508/32385)/(72/(-60)).
-2/153
Calculate (-12)/696*4 + (18768/493 - -14).
52
What is 3/1*(-39 + 35)*(-568)/(-96)?
-71
Evaluate ((-232)/(-7) + 560/35 + -43)/((-2)/(-14)).
43
Calculate (-10*(-8)/(-280))/(14/784).
-16
What is -27*7/((-2457)/429)?
33
Evaluate 12/34*611/1833.
2/17
What is the value of ((-588)/35)/(18/(-36) - ((-172)/40 + 4))?
84
(-478)/24378 + 5658/(-153)
-37
((2624/(-7))/(-8))/(3536/(-6188))
-82
What is 5/((14/11 - 1) + 4803070/404635)?
7/17
What is (27 + (-402)/15)*(0 - (-20)/(-168))?
-1/42
Calculate (((-18)/(-45))/(8/(-430)) + 4)*48/120.
-7
What is ((177/(-12))/(2016/1152) - 6/(-14)) + -5?
-13
What is 2/((-985)/2364*(-3 + 27/12))?
32/5
Evaluate 3549/(-301665) - 10202/(-170).
60
What is (-140)/(-24) - 25715/3336?
-15/8
What is the value of (-7)/28*(2679/1455 + 918/(-510))?
-1/97
What is 0 - (-38)/(-2) - (-404535)/20115?
10/9
Evaluate 77/((-1309)/1887) + 69.
-42
Evaluate (-4 + (-1656)/(-416))/((-1055)/(-96) - 11).
24/13
What is the value of ((1728/(-28))/(-8))/(411/(-2877))?
-54
Evaluate (-3936)/36 + 62 + 9620/(-156).
-109
What is (-36)/(-16)*((-96210)/540 - -178)?
-3/8
What is the value of ((-28)/(-24))/(-77 + 118 + -13) + (-1799)/(-24)?
75
Calculate ((7 - (-738)/(-96))*4)/((2/(-1))/(-32)).
-44
Evaluate ((-39)/390)/(4/18*(-918)/36 + 5).
3/20
Calculate (-58)/(-66) - (-19)/2736*(-37 - 11).
6/11
((-2860)/180 + 15)*1890/(-60)
28
Evaluate (20/210)/(-2 - 74/14).
-2/153
What is the value of ((-377036)/52877)/(4/(-46))?
82
Calculate -3 + (14 - ((-5670)/1980)/((-4)/22)).
-19/4
((-60)/(-8) - 3431/282)/(6/4)
-28/9
-2*(60/(-40) - (-224)/35)*(-1)/7
7/5
Evaluate -7 + (-5 - 93/(-18))*(21 - 3249/(-153)).
2/51
Evaluate (-2884)/224 - 153/136.
-14
Evaluate (-26)/27*((9 - 144) + 138).
-26/9
Calculate (250/105)/(8/168).
50
What is the value of (448 + -432)*(-31)/(-16)?
31
Evaluate (7/3)/(206360/1608).
1/55
Evaluate (4250/136 + -45)/((-2 - -4)*3/(-24)).
55
What is 33 - (57 - 11990/495)?
2/9
What is 1/(-2)*(-11 + 178 + -93)?
-37
What is (-36)/5850*-130*(-20)/(-1104)?
1/69
Calculate ((19/(798/12))/(45/21))/(4/(-24)).
-4/5
Calculate ((-54)/15)/(64/(-320)) - 19.
-1
What is the value of (25595/66547)/((-28)/468)?
-45/7
What is the value of (49/28)/(1/(116/(-319)))?
-7/11
Calculate 148845/14189890*(11/12 + 0).
1/104
156/(-1365)*-56*30/4
48
Evaluate (8107/737)/(2/15 + 6/30).
33
What is the value of 2*539/(-561) - -2*(-5)/(-5)?
4/51
(((-4620)/(-49))/10)/((-42)/196)
-44
Evaluate 273/(-12) - -22 - (-3)/24*-602.
-76
(11*1236/396 + 340/(-20))/((-4)/(-6))
26
What is (-57)/(-84) + ((-59)/413)/(4/20)?
-1/28
Evaluate (-4)/(-70) - 333/(-3996)*567/245.
1/4
Evaluate (29*42/3248)/(18/(-60)).
-5/4
What is the value of 7 + -1 - (-62 + 87)?
-19
(22/55)/((-8)/(-60))*(-8 + 18 + -18)
-24
Calculate (11 + 5 - 13/(182/196)) + (34 - -1).
37
What is the value of ((70/(-1925))/(-12 - 295/(-25)))/((-32)/(-22))?
1/8
-6*(4/(-14) + (0 - -1)*(-469)/(-98))
-27
(-3)/((7056/931)/48)
-19
What is 20/2 - (-4819440)/(-481010)?
-2/103
What is 9/36*8/(-5)*(-882)/(-14994)?
-2/85
Calculate 4/6*440586/(-7164).
-41
What is the value of (-4 - -19)*((-12)/8)/(7 + (-190)/20)?
9
Evaluate (1353/99 + (-5)/3)/(2*40/8).
6/5
What is the value of (-12705)/70*-5*(-10 + 296*1/30)?
-121
What is 408/132 | {
"pile_set_name": "DM Mathematics"
} |
or i(a).
-(a - 3)*(a + 1)*(a + 2)/3
Let s(y) be the third derivative of -1/21*y**3 + 0 - 2*y**2 + 0*y**4 + 1/210*y**5 + 0*y. Determine d so that s(d) = 0.
-1, 1
Factor 1/3*g**4 - 1/6*g**3 - 1/3*g**2 + 1/6*g**5 + 0*g + 0.
g**2*(g - 1)*(g + 1)*(g + 2)/6
Let h be 6/12 + (-1)/2. Let g(a) = -a + 2. Let c be g(h). Factor -c*q**4 + 3*q**4 + 0*q**4 + 0*q**4.
q**4
Let n(d) be the third derivative of d**7/1680 - d**6/480 - d**5/40 + 5*d**4/24 - d**2. Let v(j) be the second derivative of n(j). What is b in v(b) = 0?
-1, 2
Let s(z) = z**2 + 6*z + 2. Let y be s(-4). Let u be y/4 + (-279)/(-162). What is n in 0*n**3 - 2/9*n**5 + 4/9*n**4 + u*n + 0 - 4/9*n**2 = 0?
-1, 0, 1
Solve -12*w**3 - 16*w**2 - 20*w - 8*w**2 - 3*w**4 - 6 + 6*w**4 - 5*w**4 = 0.
-3, -1
Let l(m) be the third derivative of -1/50*m**5 + 4*m**2 + 4/15*m**3 - 1/300*m**6 + 0 + 0*m**4 + 0*m. Factor l(k).
-2*(k - 1)*(k + 2)**2/5
Factor -2/3*l**2 - 2/3*l**3 + 0 - 2/9*l**4 - 2/9*l.
-2*l*(l + 1)**3/9
Let g be 1*(-1 - (-45)/12). Let h = g - -27/28. Find n, given that -2/7*n**4 + 12/7*n**3 - 8/7 - h*n**2 + 24/7*n = 0.
1, 2
Let i(g) be the third derivative of -g**5/20 - g**4/8 + 5*g**2. Let i(z) = 0. What is z?
-1, 0
Let m(l) = -l**3 + 4*l - 3. Let b be m(2). Let d be b - (2 - (-21)/(-4)). Suppose 3/4*f - 1/4*f**2 - d*f**4 + 1/2 - 3/4*f**3 = 0. Calculate f.
-2, -1, 1
Let t(k) be the second derivative of -2*k**5/75 + k**4/60 + k**3/5 - k**2 - 5*k. Let g(o) be the first derivative of t(o). Factor g(c).
-2*(c - 1)*(4*c + 3)/5
Let c(z) be the third derivative of z**7/1575 + z**6/150 + 2*z**5/75 + z**4/18 + z**3/15 + 7*z**2. Factor c(x).
2*(x + 1)**3*(x + 3)/15
Let k = -47 - -50. Let u(o) be the first derivative of -5/6*o**3 + 0*o - 1/2*o**2 + k - 1/10*o**5 - 1/2*o**4. Factor u(m).
-m*(m + 1)**2*(m + 2)/2
Let m(s) = -s - 4. Let g be m(-3). Let x be -1 + 5 + g + 1. Factor -t - 3*t**3 - x*t**5 + 8*t**5 - 4*t**2 + 4*t**4 + 0*t**3.
t*(t - 1)*(t + 1)*(2*t + 1)**2
Let s = 8 + -4. Let m = 0 + s. Suppose -1/2 + 7/4*j**3 - m*j**2 + 11/4*j = 0. What is j?
2/7, 1
Let y(x) = 1 + x + 0 - 3 + x**2 + 1. Let j(l) = -3*l**2 - 11*l + 9. Let r(o) = -j(o) - 5*y(o). Solve r(g) = 0 for g.
1, 2
Let x(s) = -s**2 - 7*s - 2. Let i be x(-6). Let q(h) = -3*h**2 - 4*h - 4. Let j(b) = 3*b**2 + 5*b + 5. Let t(y) = i*j(y) + 5*q(y). Solve t(v) = 0.
0
Let g(k) = -k - 2. Let n = -5 + 1. Let f be g(n). Factor -z**4 + 2*z**2 - z**f - 1 + z**2.
-(z - 1)**2*(z + 1)**2
Suppose -3*m + 6 = -3. Let f = 4 + -2. Suppose 0 - 2*j**3 - 2*j**m + f - 10*j + 2*j + 10*j**2 = 0. What is j?
1/2, 1
Let b(r) be the first derivative of 4 + 3*r**2 + 0*r**4 + 3*r**3 + 0*r - 3/5*r**5. Factor b(i).
-3*i*(i - 2)*(i + 1)**2
Let w(h) be the second derivative of h**5/30 - h**4/6 + h**3/3 - 3*h**2 + h. Let x(u) be the first derivative of w(u). Solve x(k) = 0.
1
Find q such that -1/2*q**4 + 1/2*q - 1/2*q**3 + 1/2*q**2 + 0 = 0.
-1, 0, 1
Let d = -12 + 14. Solve -q**d - 5*q**5 + 3*q**5 - 4*q**4 + 7*q**4 = 0 for q.
-1/2, 0, 1
Suppose 2*n + 5 = 5*m, m - n = 3*n - 17. Let j be (4/(-10))/(m/(-15)). Factor -1 + 3*c**j - c - 1 + c**3 - c**4 + 0*c.
-(c - 2)*(c - 1)*(c + 1)**2
Find f, given that 1/3*f - 1/3*f**2 - 1/3*f**3 + 0 + 1/3*f**4 = 0.
-1, 0, 1
Let n(x) be the second derivative of -x**8/504 + x**7/315 + x**6/90 + x**2 + x. Let w(a) be the first derivative of n(a). Factor w(u).
-2*u**3*(u - 2)*(u + 1)/3
Let j(c) = 25*c - 223. Let d be j(9). Factor 4/9 - 2/9*n - 2/3*n**d.
-2*(n + 1)*(3*n - 2)/9
Let f(j) be the third derivative of -1/3*j**3 + 0*j**4 + 1/30*j**5 + 0*j + 0 - j**2. Factor f(i).
2*(i - 1)*(i + 1)
Let h be -4 - -2*(-51)/(-24). Let n(t) be the second derivative of -h*t**2 + 0 - 1/12*t**3 + 1/40*t**5 + 1/24*t**4 - t. Find o such that n(o) = 0.
-1, 1
Suppose -h - 30 = -5*a + 4*h, -5*h - 28 = -4*a. Let -a - 7*w + 3*w - 6*w - 2*w - 18*w**2 = 0. What is w?
-1/3
Let h = 825/8 - 103. Let g(d) be the third derivative of 0 - 3*d**2 + 0*d**3 + 0*d - 3/20*d**5 - h*d**4. Determine i so that g(i) = 0.
-1/3, 0
Let m(g) be the first derivative of -g**4/6 - 2*g**3/3 + 3*g**2 - 2*g + 2. Let o(u) be the first derivative of m(u). Factor o(a).
-2*(a - 1)*(a + 3)
Suppose 2*k = -8, 4*p + 2*k + 48 = 3*k. Let f = -3 - p. Solve -7*x + 1 + f*x**2 + 6*x**3 + 12*x**3 - 27*x**5 - 27*x**4 + 0*x = 0 for x.
-1, 1/3
Factor -1/11*m**3 - 4/11*m - 4/11*m**2 + 0.
-m*(m + 2)**2/11
Let 28/17*q + 2/17*q**2 + 98/17 = 0. Calculate q.
-7
Suppose 2 = 4*t - 6. Let 296*i**3 + i**t + i**4 - 299*i**3 + i**2 = 0. What is i?
0, 1, 2
Let v be (-3 - -2)/((-4)/8). Find h such that 0 + 6*h - 6*h**v + 2*h**3 - 2 - 5*h**2 + 5*h**2 = 0.
1
Let y be -8 + (186/36 - -3). Factor 0 + 0*p - 1/6*p**3 + y*p**2.
-p**2*(p - 1)/6
Suppose 0 = 2*g + 2 - 8. Let k(s) be the second derivative of -1/15*s**6 - 1/6*s**4 + 1/5*s**5 - s + 0*s**2 + 0*s**g + 0. Determine h, given that k(h) = 0.
0, 1
Let q = 13 - 9. Let c be (-1 - -5) + (2 - q). Factor d - 1/4 - 3/2*d**c + d**3 - 1/4*d**4.
-(d - 1)**4/4
Let g(v) be the second derivative of -v**7/7 + 3*v**6/10 + 3*v**5/20 - 3*v**4/4 + v**3/2 - 8*v. Find x, given that g(x) = 0.
-1, 0, 1/2, 1
Let b be (-2)/((6/5)/(1/(-5))). Find z such that 0 - z**3 + 1/3*z**5 + 2/3*z - b*z**4 + 1/3*z**2 = 0.
-1, 0, 1, 2
Let t(d) be the third derivative of -d**6/300 - d**5/50 - d**4/30 - 9*d**2. Factor t(x).
-2*x*(x + 1)*(x + 2)/5
Factor -6*j**2 + 8*j**3 + 3*j**4 - 2*j**4 + 2*j**2 - 5*j**4.
-4*j**2*(j - 1)**2
Suppose -4 = 14*x - 16*x. Let z(l) be the third derivative of -1/3*l**3 + 1/20*l**5 - 5/24*l**4 - x*l**2 + 0 + 0*l. Find g, given that z(g) = 0.
-1/3, 2
Let v(f) be the first derivative of 1/4*f**2 + 3 + 1/4*f + 1/12*f**3. Factor v(c).
(c + 1)**2/4
Let t = -14 - -15. Let f(m) be the first derivative of -4/3*m + t - 10/9*m**3 + 7/3*m**2. What is q in f(q) = 0?
2/5, 1
Let b(u) be the third derivative of 1/40*u**6 - 1/36*u**4 - 3/112*u**8 - 2*u**2 - 7/180*u**5 + 0 + 0*u + 3/70*u**7 + 0*u**3. Let b(p) = 0. What is p?
-1/3, 0, 2/3, 1
Suppose -p = 3*p + 56. Let k = p - -16. Factor -9/5*t - 6/5 + 3*t**k.
3*(t - 1)*(5*t + 2)/5
Determine b, given that b**3 + 0 + 0*b - 1/4*b**2 - 3/4*b**4 = 0.
0, 1/3, 1
Find m, given that 1/2*m - 1/4 - 1/2*m**3 + 0*m**2 + 1/4*m**4 = 0.
-1, 1
Let k be (0/(3 + -5))/(-2). Let s(z) be the first derivative of 0*z**2 + 1/6*z**3 + k*z - 1. Let s(v) = 0. What is v?
0
Let h(d) = 4 + d - 16*d + 14*d**2 + d. Let z(a) = 27*a**2 - 28*a + 8. Let p(y) = 7*h(y) - 4*z(y). Solve p(r) = 0.
2/5, 1
Let i(j) = -j**3 + 4*j**2 - 3*j + 2. Let y be i(1). Suppose 0*q = 2*q. Solve -14/9*f**y - 4/9*f + q = 0.
-2/7, 0
Factor -2*a - 2*a**4 - 2*a**3 - 2 + 12*a - 2*a**3 - 8*a + 2*a**5 + 4*a**2.
2*(a - 1)**3*(a + 1)**2
Let u = -1 + 3. Find w such that w - 5*w + u*w**2 - 10 + 10 = 0.
0, 2
Let u(f) = f**3 + 12*f**2 + 10*f - 2. Let n be u(-11). Let i(w) = -w + 9. Let z be i(n). Factor z*x**2 + 0 - 4/3*x**3 + 0*x**4 + 2/3*x + 2/3*x**5.
2*x*(x - 1)**2*(x + 1)**2/3
Factor 8/13*m**2 + 2/13*m**5 + 8/13*m**4 + 0 + 2/13*m + 12/13*m**3.
2*m*(m + 1)**4/13
Let p = -39 - -39. Let d(c) be the first derivative of -1/3*c**3 + 1/8*c**4 + p*c - 3 + 1/4*c**2. Factor d(i).
i*(i - 1)**2/2
Let k(o) = 10*o**4 - 14*o**3 - 10*o**2 + 8*o. Let z(b) = 9*b**4 - 13*b**3 - 9*b**2 + 8*b. Let a(u) = 5*k(u) - 6*z(u). Find d such that a(d) = 0.
-1, 0, 1, 2
Let k = 11 - 3. Let r be (-1)/k*(2 + -4). Solve 1/4*j**3 + r*j**4 + 0*j**2 + 0*j + 0 = 0.
-1, 0
Let o(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 10*p**2 - 7*p. Factor o(x).
-5*(x - 4)*(x - 1)**2
Suppose -5*m + 14 = -2*b, -2*b - 3*m + 11 = 41. Let y be b*(-1)/(-3)*-1. Factor -16/3 - y*z**2 + 8*z + 2/3*z**3.
2*(z - 2)**3/3
Let q(j) = -j + 7. Let o be q(3). Suppose o*i = i + u + 13, 0 = 3*i + 4*u - 8. What is b in -2*b**2 + 4/3*b + 0 + 0*b**3 + 2/3*b**i = 0?
-2, 0, 1
Let v = -4 - -6. Suppose -4*c = -3*q - 8, -2*c + v*q = 6*q - 4. Suppose -2/7*j + 2/7*j**4 + 2/7*j**3 + 0 - 2/7*j**c = 0. What is j?
-1, 0, 1
Let g(b) = b**2 + 5*b - 4. Let u be g(-6). Suppose 4*z - 20 = -q, q - 15 = 5*q - 3*z. Factor 2/3*p**4 + q*p + 0*p**u + 4/9*p**3 + 0.
2*p**3*(3*p + 2)/9
Let h(r) be the second derivative of r**7/63 - 8*r**6/135 + r**5/90 + 4*r**4/27 - 4*r**3/27 - 19*r. Solve h(g) = 0 for g.
-1, 0, 2/3, 1, 2
Let z = -51 + 54. What is i in 0*i**2 + 0 + 2/17*i - 2/17*i**z = 0?
-1, 0, 1
Let u be -3 + 4 + | {
"pile_set_name": "DM Mathematics"
} |
89, 2087, 2787, 3489, 4193?
4899
What comes next: -494, -485, -476, -467, -458?
-449
What comes next: -74, -70, -66, -62?
-58
What comes next: -58, -104, -180, -286?
-422
What is next in 536, 1074, 1612?
2150
What is next in -3, 5, 35, 105, 233, 437, 735, 1145?
1685
What comes next: 545, 1091, 1639, 2189, 2741, 3295, 3851?
4409
What is next in 150, 300, 450, 600, 750?
900
What is next in 1539, 3072, 4617, 6180, 7767?
9384
What is the next term in -4185, -4175, -4151, -4107, -4037, -3935, -3795?
-3611
What is next in 22, 76, 162, 280?
430
What is next in -14, -49, -128, -269, -490, -809?
-1244
What is next in 144, 265, 384, 501, 616?
729
What is the next term in 10, 11, 10, 7, 2, -5?
-14
What comes next: -18, -35, -38, -21, 22?
97
What comes next: -2947, -2950, -2953?
-2956
What is the next term in 498, 497, 496, 495, 494?
493
What is next in -620, -621, -622, -623?
-624
What comes next: 1082, 2164, 3246, 4328, 5410, 6492?
7574
What comes next: -27, -32, -41, -54, -71?
-92
What is next in 62, 65, 68?
71
What is next in -368, -729, -1102, -1493, -1908, -2353, -2834, -3357?
-3928
What is next in -62, -87, -128, -185, -258?
-347
What is next in 8, 7, 8, 11, 16, 23, 32?
43
What comes next: -28, -39, -52, -61, -60, -43?
-4
What is next in -810, -806, -798, -786, -770, -750?
-726
What is next in -292, -300, -320, -358, -420, -512?
-640
What comes next: 21, 135, 441, 1035, 2013, 3471, 5505, 8211?
11685
What is next in 133, 120, 93, 46, -27, -132?
-275
What comes next: 54, 343, 1114, 2607, 5062, 8719, 13818?
20599
What is next in -45, -36, -17, 18, 75?
160
What comes next: -114, -95, -56, 9, 106, 241?
420
What is next in 540, 2135, 4802, 8547, 13376, 19295, 26310, 34427?
43652
What is the next term in -1102, -1100, -1096, -1090, -1082, -1072, -1060?
-1046
What comes next: 56, 72, 88?
104
What comes next: -8, -45, -114, -221, -372?
-573
What is next in -114, -224, -334, -444, -554, -664?
-774
What is next in -73, -71, -69, -67, -65, -63?
-61
What is the next term in 8, 22, 44, 74, 112, 158?
212
What is next in -31, -118, -207, -298, -391, -486?
-583
What comes next: -74, -157, -254, -371, -514, -689, -902, -1159?
-1466
What comes next: -10, -4, -2, -4, -10, -20, -34?
-52
What is the next term in 7, 5, 3, 1, -1?
-3
What is next in 8, 119, 422, 1013, 1988?
3443
What is next in 742, 744, 746, 748, 750, 752?
754
What is the next term in 133, 126, 107, 70, 9, -82?
-209
What comes next: 11, 39, 87, 155, 243, 351, 479?
627
What is the next term in -31, -71, -119, -175?
-239
What is next in 7, 7, 3, -5, -17, -33?
-53
What is the next term in 324, 336, 362, 408, 480, 584?
726
What comes next: 4158, 8319, 12480, 16641?
20802
What comes next: -15, -69, -159, -285, -447, -645, -879?
-1149
What is next in 262, 523, 784, 1045, 1306, 1567?
1828
What is next in 25, 13, -1, -17, -35, -55?
-77
What is next in 895, 1796, 2701, 3610?
4523
What is next in 1264, 1263, 1262, 1261, 1260?
1259
What comes next: 19, 30, 39, 46, 51, 54, 55?
54
What is next in -354, -361, -366, -369?
-370
What is the next term in -274, -256, -238, -220, -202, -184?
-166
What comes next: -200, -205, -212, -221, -232, -245, -260?
-277
What is next in -33, -40, -67, -126, -229, -388, -615?
-922
What is next in 222, 213, 204, 195, 186?
177
What is next in -306, -307, -308?
-309
What comes next: 14, 33, 48, 59, 66, 69?
68
What comes next: 53, 55, 57, 59?
61
What comes next: 1138, 2260, 3382, 4504, 5626?
6748
What is next in -12, -11, -16, -33, -68, -127?
-216
What comes next: -105, -115, -125?
-135
What is next in 3072, 3071, 3070, 3069, 3068?
3067
What comes next: -162, -165, -168, -171, -174, -177?
-180
What is next in 696, 2796, 6296, 11196, 17496, 25196?
34296
What is next in 129, 250, 371, 492?
613
What is the next term in -12, -10, -2, 12?
32
What is the next term in -180, -177, -164, -135, -84, -5, 108?
261
What is the next term in 224, 222, 220, 218, 216, 214?
212
What is the next term in -259, -246, -209, -136, -15, 166, 419?
756
What is the next term in 62, 78, 108, 158, 234?
342
What is next in 64, 135, 206, 277, 348?
419
What comes next: 46, 53, 60, 67, 74, 81?
88
What is next in 17679, 17680, 17681?
17682
What is next in -77, -104, -117, -110, -77, -12, 91, 238?
435
What is the next term in -4900, -4913, -4942, -4993, -5072, -5185, -5338?
-5537
What comes next: 3748, 7492, 11236, 14980, 18724, 22468?
26212
What is next in -451, -453, -455, -457, -459?
-461
What comes next: 776, 779, 782, 785, 788?
791
What is the next term in 9, 4, -7, -24, -47?
-76
What is next in -50, -170, -356, -608?
-926
What is next in 5202, 5205, 5218, 5247, 5298, 5377, 5490?
5643
What comes next: 50, 55, 60?
65
What comes next: 49, 94, 141, 190?
241
What comes next: 32, 58, 70, 62, 28, -38, -142?
-290
What is the next term in -1209, -2413, -3615, -4815, -6013, -7209?
-8403
What is next in -2, 52, 152, 304, 514, 788, 1132, 1552?
2054
What is the next term in 114, 171, 228, 285, 342?
399
What is the next term in -47, -46, -35, -8, 41?
118
What comes next: 48, 100, 152?
204
What is next in 14, 21, 28, 35?
42
What comes next: 160, 161, 162?
163
What is next in -770, -758, -728, -674, -590?
-470
What is next in 4, 22, 44, 70, 100?
134
What is the next term in -1198, -4699, -10542, -18733, -29278, -42183?
-57454
What is next in -2692, -2698, -2706, -2716, -2728?
-2742
What comes next: -76, -99, -136, -181, -228, -271?
-304
What is next in 117, 115, 115, 117, 121, 127, 135?
145
What comes next: -68, -69, -70, -71, -72?
-73
What comes next: 2060, 2064, 2068, 2072?
2076
What is next in 1072, 2144, 3216, 4288?
5360
What comes next: -986, -985, -984?
-983
What comes next: 2802, 5604, 8406, 11208?
14010
What comes next: -270, -541, -812, -1083?
-1354
What is next in -812, -811, -810, -809?
-808
What is the next term in -1452, -2909, -4368, -5829, -7292?
-8757
What is the next term in 79, 129, 213, 331?
483
What comes next: 50, 57, 70, 89, 114, 145?
182
What comes next: -192, -197, -202?
-207
What comes next: 4, 13, 24, 37?
52
What is the next term in 136, 129, 108, 67, 0, -99?
-236
What comes next: -6, -17, -30, -45?
-62
What comes next: -38, -62, -98, -152, -230, -338, -482, -668?
-902
What is next in -38, -51, -74, -107?
-150
What is next in -150, -299, -448, -597?
-746
What is next in 2079, 2080, 2081?
2082
What is the next term in -92, -75, -44, 7, 84, 193?
340
What is next in -129, -528, -1195, -2130, -3333, -4804, -6543?
-8550
What is next in -118, -226, -334, -442, -550?
-658
What comes next: -65, -125, -183, -239, -293?
-345
What comes next: 14, 86, 206, 374, 590, 854, 1166?
1526
What is next in -29, 13, 77, 157, 247?
341
What is the next term in -58, -117, -174, -229, -282?
-333
What comes next: -615, -618, -621?
-624
What is the next term in 74, 44, -44, -220, -514, -956?
-1576
What is the next term in 338, 314, 300, 302, 326, 378, 464, 590?
762
What is next in 3, -3, -17, -45, -93, -167, -273, -417?
-605
What is next in -396, -387, -372, -351, -324, -291, -252?
-207
What is the next term in -42336, -42337, -42338, -42339, -42340?
-42341
What comes next: 1142, 2282, 3422, 4562, 5702, 6842?
7982
What comes next: -2, -12, -34, -74, -138, -232, -362?
-534
What is the next term in 99, 202, 305, 408, 511?
614
What is next in 0, 23, 46, 69?
92
What is the next term in 32, 38, 42, 44?
44
What comes next: 57, 101, 155, 225, 317, 437, 591?
785
What comes next: -30, -37, -20, 33, 134?
295
What comes next: 1296, 1297, 1298, 1299, 1300, 1301?
1302
What is next in 130, 129, 128, 127, 126, 125?
124
What comes next: 99, 93, 83, 69, 51, 29?
3
What is the next term in -8, -9, -10?
-11
What comes next: 18, 25, 42, 75, 130, 213?
330
What comes next: 246, 244, 242, 240?
238
What is next in -113, -148, -183, -218, -253?
-288
What is the next term in -573, -570, -567, -564, -561?
-558
What is next in -3, -113, -413, -999, -1967, -3413?
-5433
What comes next: 62, 46, 30, 14, -2, -18?
-34
What is next in 367, 364, 359, 352, 343, 332?
319
What is the next term in -46, -113, -184, -259?
-338
What is next in -29, -34, -51, -86, -145, -234?
-359
What comes next: -61, -229, -503, -883, -1369, -1961, -2659?
-3463
What is the next term in 71, 138, 209, 284, 363, 446, 533?
624
What is next in -276, -1115, -2514, -4473?
-6992
What is the next te | {
"pile_set_name": "DM Mathematics"
} |
+ 156163?
-16832*s**3
Find the second derivative of -1640*h**2*r**2 + 8*h**2*r + 199*h*r**2 + 2*h*r - 6*h - r**2 wrt h.
-3280*r**2 + 16*r
What is the third derivative of p**3*z**3 - 6*p**3*z - 3*p**3 - 97805*p*z**5 - 3*p*z**2 - 372*p*z wrt z?
6*p**3 - 5868300*p*z**2
Find the second derivative of 54*d*g**2 + 6*d*g + 15*d - 708*g**2 - 236*g wrt g.
108*d - 1416
What is the third derivative of -283741*a**3 - 427031*a**2 wrt a?
-1702446
What is the third derivative of 395409*s**5 + 4*s**3 - 868*s**2 - 5*s - 126?
23724540*s**2 + 24
What is the second derivative of -659517*k**4 - 2113999*k wrt k?
-7914204*k**2
What is the third derivative of 2455798*y**3 + 37474*y**2 + 2*y - 1 wrt y?
14734788
What is the derivative of 169995*u**3 - 649882?
509985*u**2
What is the third derivative of -34431*c**4 - 2*c**3 + 9*c**2 + 9*c + 8?
-826344*c - 12
Find the third derivative of -73*m**5 - 137*m**3 - 2*m**2 - 63*m - 289 wrt m.
-4380*m**2 - 822
Differentiate 41613*c**2 + 45170 wrt c.
83226*c
What is the second derivative of -2*n**4 - 256*n**3 - 4*n**2 + 86881*n wrt n?
-24*n**2 - 1536*n - 8
Differentiate -398917*p**3*z - 617307*p**3 - 4*p**2*z + p - 2*z wrt z.
-398917*p**3 - 4*p**2 - 2
What is the third derivative of -151*j**3*q*s - 3*j**3*q - 9*j**3*s + 30*j**3 - 2983*j**2*q*s - 2*j**2*s - j*s - 30*q wrt j?
-906*q*s - 18*q - 54*s + 180
What is the second derivative of -10*q**2*w + 2278*q**2 - 49*q*w + q - 31*w wrt q?
-20*w + 4556
What is the third derivative of -415*f**3*l - 35*f**3*w - 10*f**2*l*w - 2*f**2*w - 1136*f - 2*l wrt f?
-2490*l - 210*w
What is the first derivative of 590327*s**2 + 145109 wrt s?
1180654*s
Find the second derivative of 350703*m**2 + m - 13758 wrt m.
701406
What is the third derivative of -245642*n**5 - 3*n**2 + 8297*n?
-14738520*n**2
What is the third derivative of -103807*j**4 - 36885*j**2 + 2*j?
-2491368*j
Find the first derivative of 425*f**2 + 1124*f - 492309.
850*f + 1124
Find the second derivative of 78*i**2*k**3*y + 643*i**2*k*y**2 - 1056*i*k**3*y**2 - 2*i*k**2*y - 6*k**3*y wrt i.
156*k**3*y + 1286*k*y**2
What is the third derivative of -41*i*t**3 + 67*i - 41862*t**3 + 9801*t**2 wrt t?
-246*i - 251172
Find the first derivative of 187*z**2 + 1081*z - 786565.
374*z + 1081
Find the third derivative of -25232*d**4 - 49*d**2 - 747*d wrt d.
-605568*d
What is the second derivative of -238*t**3*w + 3*t**3 + 58*t**2*w - t*w - 99*w - 5 wrt t?
-1428*t*w + 18*t + 116*w
Differentiate -137*p**2 + 165*p - 63579.
-274*p + 165
What is the third derivative of -562784*f**4 - 604*f**2 - 290?
-13506816*f
What is the second derivative of -574684*t**2 + 805779*t wrt t?
-1149368
Find the first derivative of 1080289*h**4 + 951029.
4321156*h**3
What is the third derivative of 429359*i**3*m**4 + i**3*m**2 - i**3*m - 5*i**3 + 217*i*m**2 + 28 wrt m?
10304616*i**3*m
Find the third derivative of -135659*o**6 - 17636*o**2 + 4*o wrt o.
-16279080*o**3
Differentiate 33539*b + 7429 wrt b.
33539
Find the third derivative of -61029*d**4 - 124771*d**2.
-1464696*d
What is the third derivative of -2*k**2*q**3 + k**2*t + k*q**3*t + 285*k*q**3 + 2*k*q**2*t - 10*k*q*t + 4*q**3 + q**2*t - 11*q**2 wrt q?
-12*k**2 + 6*k*t + 1710*k + 24
Find the second derivative of 1003*b**2*o**3 + 2*b**2 - 30*b*o**3 - 393838*o wrt o.
6018*b**2*o - 180*b*o
Find the second derivative of -g**2*t**3*x - 119*g**2*t**2 - 5*g**2*x**2 + 8*g*t**3 - 2*g*t - 3*t**2*x + 10*x**2 wrt g.
-2*t**3*x - 238*t**2 - 10*x**2
What is the second derivative of -p**3*w**2 - 3160*p**3*w - 12*p**2 + 94*p*w**2 + 2*p*w - 63*w wrt p?
-6*p*w**2 - 18960*p*w - 24
Find the second derivative of 3081926*k**2 + 227234*k + 5 wrt k.
6163852
Find the third derivative of -26*x**5 - 7394*x**4 + 874991*x**2.
-1560*x**2 - 177456*x
What is the second derivative of -22923*y**3 + 86*y + 162 wrt y?
-137538*y
Find the third derivative of 2263*b**3*t**2*w**3 + 25*b**3*t*w - 5*b**3*w**2 - 5*b**2*t - 52*t**3*w**3 - 95*t**3*w wrt w.
13578*b**3*t**2 - 312*t**3
What is the third derivative of -110*u**5 - 168*u**4 + 2*u**3 - 14190*u**2 + 2*u?
-6600*u**2 - 4032*u + 12
What is the second derivative of -m*z**3 + 5243*m*z**2 - 306204*m*z + m + 8*z**3 wrt z?
-6*m*z + 10486*m + 48*z
Differentiate -381808*w - 197116 with respect to w.
-381808
Find the second derivative of -15*b**4 - 78*b**3 - 29342*b - 3 wrt b.
-180*b**2 - 468*b
Find the third derivative of 1828972*b**2*y**3 + 30*b**2*y**2 - 3*b**2 + 855*y**2 wrt y.
10973832*b**2
What is the second derivative of -114778*m**2 + 126800*m wrt m?
-229556
What is the derivative of -8661*o**4 + 75275?
-34644*o**3
Find the first derivative of -201213*d**3*k + 1465*d**3*w + 3*d**2*k*w**3 - k*w wrt w.
1465*d**3 + 9*d**2*k*w**2 - k
What is the second derivative of -8066*s**2 + 80645*s wrt s?
-16132
Find the second derivative of -105*r**3*z**2 - 79*r**3 + 5*r**2*z**3 - 30*r*z**3 - 2*r*z - 26*z - 1 wrt r.
-630*r*z**2 - 474*r + 10*z**3
What is the second derivative of 2*v**5 + 19964*v**4 + 2572*v - 14?
40*v**3 + 239568*v**2
Find the second derivative of -38*t**2*w**2*z**2 - 6*t**2*w*z - 8*t**2 + t*w**2*z**2 - 13*t*z + 7*w**2*z**2 + 9*w wrt t.
-76*w**2*z**2 - 12*w*z - 16
What is the second derivative of 190114*p**4*t + p**3*t**2 + 21300*p*t**2 - 3*p*t - 2*t wrt p?
2281368*p**2*t + 6*p*t**2
What is the second derivative of -33557*w**4 - 1608*w - 20 wrt w?
-402684*w**2
What is the second derivative of -244896*t**3 - 99164*t + 1?
-1469376*t
What is the third derivative of -2089*w**5 + w**2 + 6596*w?
-125340*w**2
Find the second derivative of 8056*g**3*n**4 + 4*g**3 + 16*g*n - 2*n**4 + 38*n - 2 wrt n.
96672*g**3*n**2 - 24*n**2
What is the third derivative of -122046*g**4 - 3*g**3 - 3*g**2 - 1545*g?
-2929104*g - 18
Find the third derivative of -83*u**5 + 455*u**4 - 80860*u**2 wrt u.
-4980*u**2 + 10920*u
What is the derivative of -9564*u**2 - 6*u + 382331?
-19128*u - 6
Find the second derivative of 3*c**2*d**2*k + 723*c**2*d**2 - 8*c**2 + 118603*c*d + 2*c*k + d**2*k wrt c.
6*d**2*k + 1446*d**2 - 16
What is the third derivative of -28692*c**4 - 27*c**2 - 2384*c - 1 wrt c?
-688608*c
Find the third derivative of b**6 - 750637*b**5 + 190826*b**2 + 4.
120*b**3 - 45038220*b**2
Find the third derivative of 4127538*o**3 - 1772661*o**2 - 2*o.
24765228
Find the first derivative of -70*d**2*k**2 + 34*d**2*k + 2*d*k**2 + 95*k**2 + 321 wrt d.
-140*d*k**2 + 68*d*k + 2*k**2
Find the second derivative of -5887188*b**2 - 26*b - 43181 wrt b.
-11774376
What is the derivative of 679778*f**2*z - 1586338*f**2 wrt z?
679778*f**2
Differentiate 186*o**3*x + 18*o**3 + 3*o**2*x + o + 5*x - 210 with respect to x.
186*o**3 + 3*o**2 + 5
Find the second derivative of 48164*k**2*r**2 + 284277*k**2*r wrt r.
96328*k**2
What is the second derivative of 8*d**3*n - 9*d**3 + 3*d**2*n + 226*d**2 - 3*d*n - 121395*n wrt d?
48*d*n - 54*d + 6*n + 452
What is the second derivative of 20165*k**4 - 2*k**3 + 44*k**2 + 3225848*k wrt k?
241980*k**2 - 12*k + 88
What is the third derivative of -2614536*a**3 + 11*a**2 - a + 1833?
-15687216
Find the third derivative of -31*f**5 + 5*f**4 - 32*f**3 - 5*f**2 + 26110*f wrt f.
-1860*f**2 + 120*f - 192
Find the third derivative of -1195876*v**3 - v**2 - 23066*v.
-7175256
What is the first derivative of 2*q**2*x + 632888*q**2 + 685*q*x + 31*x wrt x?
2*q**2 + 685*q + 31
Find the second derivative of 305219*k**3 + 125690*k.
1831314*k
Differentiate -2*a**2*u - 3*a**2 + 2*a*u**2 - 87*a + 2502*u**2 + u - 27 with respect to a.
-4*a*u - 6*a + 2*u**2 - 87
Find the third derivative of -87*b*d*i**3 + 2*b*d*i**2 - 3315*b*d*i + 46*b*i**3 - d*i + 4*i**3 - 6*i**2 wrt i.
-522*b*d + 276*b + 24
What is the second derivative of 269*m**4*t - 442*m**2*t**3 + m*t**3 - 2*m*t**2 - m*t - 24*m - 299*t**2 wrt m?
3228*m**2*t - 884*t**3
What is the second derivative of 321*y**4 - 5272*y**2 - 1567119*y wrt y?
3852*y**2 - 10544
Find the second derivative of -h**2*n**2 + 279*h**2*n*w + 17*h**2*w**2 + h*n**2*w + 3*h*n*w**2 + 2*h*w - 237*n**2*w - n*w**2 wrt h.
-2*n**2 + 558*n*w + 34*w**2
What is the third derivative of 2*c**2*m*s**2 - 3*c**2*s**3 - 154*c*m*s + 2*c*m + 345*m*s**3 - 29*m*s**2 - 610*s**4 + s**2 wrt s?
-18*c**2 + 2070*m - 14640*s
What is the third derivative of -1298*o*s**4 + o*s**3 + 73*o*s**2 + o*s + o + 9*s**3 - 1849*s**2 - 2 wrt s?
-31152*o*s + | {
"pile_set_name": "DM Mathematics"
} |
9
Solve -19*p = 122*p + 33*p - 1392 for p.
8
Solve -83 + 65 - 510 = 88*i for i.
-6
Solve 2 - 47 = 7*c - 17 for c.
-4
Solve 910 = -208*b - 1778 - 848 for b.
-17
Solve 119*l = 450*l + 7282 for l.
-22
Solve -43*o - 195 = -840 for o.
15
Solve 1581*a - 51358 = -6109 - 2562 for a.
27
Solve 0 = -3620*m - 3625*m + 7240*m + 80 for m.
16
Solve 17 - 710 = 99*i for i.
-7
Solve -1088*p = -1064*p - 432 for p.
18
Solve 30 = -23*h + 27 - 66 for h.
-3
Solve 52 = -0*n - 10*n - 3*n for n.
-4
Solve 4941 = 947*b - 764*b for b.
27
Solve 143*v + 1443 = 32*v for v.
-13
Solve -49 = -183*j - 26 - 23 for j.
0
Solve 30*m + 37*m - 11*m + 840 = 0 for m.
-15
Solve 273*n + 66*n - 4152 = -7*n for n.
12
Solve 37*x = 8775 - 8220 for x.
15
Solve 0 = -33*p + 120 - 217 - 266 for p.
-11
Solve 7*k - 2833 = -2924 for k.
-13
Solve 2*q + 304 = 296 for q.
-4
Solve 0 = 200*n + 999 - 3199 for n.
11
Solve 1837 = -74*t - 93*t for t.
-11
Solve -12*k + 123 = 37 - 226 for k.
26
Solve 169*d - 107*d = 0 for d.
0
Solve 2028*o = 2027*o - 8 for o.
-8
Solve 0 = -834*n + 16934 - 254 for n.
20
Solve 1565*p = -1147*p - 97632 for p.
-36
Solve -69*q - 185 + 267 + 539 = 0 for q.
9
Solve 67*i = -20908 + 19300 for i.
-24
Solve 18547 = 496*z + 595*z for z.
17
Solve 2086*x = 2125*x - 390 for x.
10
Solve 49*r = 49*r + 147*r + 588 for r.
-4
Solve 0 = -843*z - 4434 + 23823 for z.
23
Solve 0 = 20*w - 106 + 66 for w.
2
Solve -1321*f + 1256*f + 715 = 0 for f.
11
Solve 113*v = -33*v - 1168 for v.
-8
Solve 15*i + 18*i - 88 = 25*i for i.
11
Solve -119*a = 114*a - 227*a + 102 for a.
-17
Solve -7255*n + 7154*n - 1717 = 0 for n.
-17
Solve -130*x + 193*x + 2928 = -59*x for x.
-24
Solve -882*o = -831*o + 495 - 87 for o.
-8
Solve 513 - 343 - 278 = 6*a for a.
-18
Solve -15*u + 5*u - 10 = 0 for u.
-1
Solve -8931 + 3590 = -1247*v + 4635 for v.
8
Solve -81*y + 78*y = -33 for y.
11
Solve -58*d - 744 = 97*d - 31*d for d.
-6
Solve 2653 = 147*z + 301 for z.
16
Solve 5*q = -749 + 809 for q.
12
Solve 28*t = -1573*t + 5680 + 7128 for t.
8
Solve -387*s + 396*s + 63 = 0 for s.
-7
Solve -16 = 2*f - 0*f - 4*f for f.
8
Solve -6 = -4*l + 8 + 6 for l.
5
Solve -2*m - 60 = 72 - 124 for m.
-4
Solve -40 - 136 = 57*h - 13*h for h.
-4
Solve 156 + 643 = 58*d + 161 for d.
11
Solve -425*i - 2688 = 1137 for i.
-9
Solve 0 = 203*y - 412 - 2024 for y.
12
Solve -3*y - 51*y - 490 = -166 for y.
-6
Solve 2735 = -125*i + 384*i + 288*i for i.
5
Solve 466 + 1302 = 136*o for o.
13
Solve 3826*x = 3887*x + 1037 for x.
-17
Solve -749 = -19*m - 578 for m.
9
Solve 16*j + 451*j - 2186 - 616 = 0 for j.
6
Solve -r + 42 = 111 - 50 for r.
-19
Solve 423*c = -62*c - 970 for c.
-2
Solve 9*r + 77 - 32 = 0 for r.
-5
Solve -5*x - x - 84 = 6*x for x.
-7
Solve -57*i + 21*i - 51 = -19*i for i.
-3
Solve -461*v = -452*v - 63 for v.
7
Solve 254 = 32*p + 163 - 293 for p.
12
Solve 7*d = -17*d + 274 + 230 for d.
21
Solve -227 - 17 = -57*t - 4*t for t.
4
Solve -91 = -3320*m + 3327*m for m.
-13
Solve 89 - 1055 = -42*a for a.
23
Solve 307 = -399*j - 205*j - 297 for j.
-1
Solve 52*y - 43*y - 30 + 111 = 0 for y.
-9
Solve 2710 = -350*k + 9360 for k.
19
Solve -3874*p - 258 = -3831*p for p.
-6
Solve 25*a - 31*a + a + 135 = 0 for a.
27
Solve -28*h - 47*h + 98 = 173 for h.
-1
Solve -64*n = 126*n + 1794 + 2196 for n.
-21
Solve -4*c + 1958 = 1910 for c.
12
Solve 500 = -15*h + 305 for h.
-13
Solve 3299 + 1349 = -581*w for w.
-8
Solve -296*n + 984 - 263 + 759 = 0 for n.
5
Solve 6*y + 44 = 143 - 33 for y.
11
Solve -14*l - 1476 + 462 = -53*l for l.
26
Solve 11*g + 4*g - 3*g = -168 for g.
-14
Solve -41*o - 29547 = -29834 for o.
7
Solve -4*x + 72 = 4*x - 0*x for x.
9
Solve 577 = 24*k + 625 for k.
-2
Solve 490 = 402*c - 367*c for c.
14
Solve -25*y = 146 + 267 - 88 for y.
-13
Solve 253 + 488 = 40*o + 141 for o.
15
Solve 7*u + 29 = 34 - 26 for u.
-3
Solve 165*y - 24*y = -81*y - 1554 for y.
-7
Solve 60949 = 43*x + 60691 for x.
6
Solve -140 = 153*q + 166 for q.
-2
Solve -3*g - 4 + 25 = -12 for g.
11
Solve 13*o - 40605 = -40501 for o.
8
Solve 245*y + 170*y = -7470 for y.
-18
Solve -315 = -34*h + 35*h - 36*h for h.
9
Solve -261 = -254*j - 1277 for j.
-4
Solve 7*v = -5 - 27 + 4 for v.
-4
Solve 36*n + 2962 - 2818 = 0 for n.
-4
Solve -20*l - 2401 = -2201 for l.
-10
Solve 0 = 1014*j - 1010*j - 96 for j.
24
Solve 4380*y = 4286*y - 1786 for y.
-19
Solve 6*l - 143 = l - 8*l for l.
11
Solve 74*m - 461 = 974 - 399 for m.
14
Solve -195906*r - 60 = -195900*r for r.
-10
Solve 396*k + 47323 = -883*k for k.
-37
Solve -36 = 14*i + 120 + 320 for i.
-34
Solve 0 = 3811*w - 3611*w + 4400 for w.
-22
Solve -5*o + 403 = 318 for o.
17
Solve 30*w + 86947 = 87397 for w.
15
Solve -118 = 218*v - 277*v for v.
2
Solve 124 = -4*o + 92 for o.
-8
Solve 643 = -2*j + j + 631 for j.
-12
Solve 28*g + 39298 = 39242 for g.
-2
Solve 33*r + 42*r = 21*r - 378 for r.
-7
Solve 136*k = 1326 + 442 for k.
13
Solve 54*o - 168*o + 228 = 0 for o.
2
Solve -489 = -0*x - 55*x + 116 for x.
11
Solve -84*z - 144 - 182 = 346 for z.
-8
Solve 72*p + 2492 = 3788 for p.
18
Solve -29 + 54 = 4*l - 3 for l.
7
Solve -12*t + 31*t - 30 = 14*t for t.
6
Solve 0 = 44*b - 21*b for b.
0
Solve -46*x - 180 = 2*x - 12*x for x.
-5
Solve -84*m + 1155 - 63 = 0 for m.
13
Solve -52*c + 385 = -31 for c.
8
Solve 84*q + 1235 = 59*q - 40*q for q.
-19
Solve 2422*k + 3480 = 2770*k for k.
10
Solve -17*p + 50 - 146 = -5*p for p.
-8
Solve 0 = -173*s + 1345 + 1077 for s.
14
Solve -109*x - 20*x + 1015 + 920 = 0 for x.
15
Solve 415*i + 399 = 394*i for i.
-19
Solve -5*s + 5 + 20 = 0 for s.
5
Solve -3009 + 881 = 304*l for l.
-7
Solve 640*s + 10087 = -801*s for s.
-7
Solve 107*l = 213 - 37 + 252 for l.
4
Solve 51*l = -16010 + 16775 for l.
15
Solve 52*i + 98*i + 768 = 22*i for i.
-6
Solve 0 = 349*d - 392*d for d.
0
Solve 1287*d - 1221*d = 396 for d.
6
Solve 3556869*m = 3556913*m + 1804 for m.
-41
Solve 60*u = 112*u + 676 for u.
-13
Solve -179*k + 172*k = -84 for k.
12
Solve q - 138 = -34*q + 2 for q.
4
Solve 26*g = -43956 + 44554 for g.
23
Solve 8*t - 451 + 313 = -322 for t.
-23
Solve -90*y - 879 = 94 + 647 for y.
-18
Solve 266*p + 2771 = 103*p for p.
-17
Solve 9*x = -11964 + 11775 for x.
-21
Solve 292*z + 636 + 5 = -235 for z.
-3
Solve -185*j = 579*j - 3056 for j.
4
Solve 169 = 12*y + 13 for y.
13
Solve -8*u = -2*u - 3*u + 15 for u.
-5
Solve -218*p = -336*p + 1298 for p.
11
Solve 0 = 10575*w - 10498*w - 1771 for w.
23
Solve 91*k - 2529 = 341*k + 1971 for k.
-18
Solve -33 = -13859*v + 13892*v for v.
-1
Solve 18*d = 273*d + 30*d - 1140 for d.
4
Solve 2424*s = 2299*s + 3250 for s.
26
Solve -66*b - 268 + 77 = -1379 for b.
18
Solve -15*f - 29 + 179 = -40*f for f.
-6
Solve 495*s = -16 - 479 for s.
-1
Solve -529*v + 677 - 5967 = 0 for v.
-10
Solve -62 + 129 - 67 = 19*o for o.
0
Solve 7*c + 6*c - 15 = 24 for c.
3
Solve -668 = -143*t - 94*t + 754 for t.
6
Solve 0 = -25*m - 46*m - 250 - 460 for m.
-10
Solve -6*w = -3 + 27 for w.
-4
Solve -94*r - 1148 = 7*r + 63*r for r.
-7
Solve 1497 + 1153 = 144*v + 778 for v.
13
Solve 0 = -649*r + 371*r - 585*r + 31931 for r.
37
Solve -996 = 1516*s + 709 + 5875 for s.
-5
Solve 1050 + 228 = 71*w for w.
18
Solve -89*u - 73*u + 340 = -182*u for u.
-17
Solve 5*x - 71566 + 71506 = 0 for x.
12
Solve 779 = -81*f - 18*f - 211 for f.
-10
Solve -t + 38 - 74 = -48 for t.
12
Solve -1642*k + 1605*k - 222 = 0 for k.
-6
Solve 73 = 49*f + 759 for f.
-14
Solve 46*y = 106 - 520 for y.
-9
Solve 431*x = -436*x + 842*x + 525 for x.
21
Solve -1359 = 24*m - 2942 + 1127 for m.
19
Solve 0 = -18*x + 1655 - 1745 for x.
-5
Solve 0 = -318*i + 172*i + 1022 for i.
7
Solve 399 - 543 = -18*a for a.
8
Solve -21*l + l - 397 = 3 for l.
-20
Solve -230*w = -966 - 2107 - 607 for w.
16
Solve -55*z - 203 - 466 = 266 for z.
-17
Solve -64*i - 84 = 807 - 59 for i.
-13
Solve 111*q = 28*q + 332 for q.
4
Solve 0 = 68*o + 1686 - 2434 for o.
11
Solve 263 = 56*u - 212*u - 49 for u.
-2
Solve -75*y - 15*y = -900 for y.
10
Solve -22 - 491 - 12 = 35*i for i.
-15
Solve -148*u - 6422 = 190*u for u.
-19
Solve 0 = -79*m + 26*m - 460 + 513 for m.
1
Solve 1030 = 21*v + 82*v for v.
10
Solve 0 = 34*n + 345 - 86 + 149 for n.
-12
Solve 278 + 289 + 81 = -162*n for n.
-4
Solve 0 = -78*c - 14361 + 14283 for c.
-1
Solve -605 - 361 = 74*y - 152 for y.
-11
Solve 934*n = -407*n + 14751 for n.
11
Solve 432*p - 923 - 261 - 976 = 0 for p.
5
Solv | {
"pile_set_name": "DM Mathematics"
} |
micrometers are there in 828.0754km?
828075400000
Convert 713.2212 grams to milligrams.
713221.2
How many millimeters are there in 18/5 of a centimeter?
36
How many weeks are there in 5.162913 hours?
0.030731625
How many kilograms are there in thirteen eighths of a tonne?
1625
What is three fifths of a gram in milligrams?
600
How many meters are there in five quarters of a kilometer?
1250
Convert 0.7893669 millennia to decades.
78.93669
What is 82.96013 centuries in millennia?
8.296013
What is thirty-seven halves of a microgram in nanograms?
18500
How many tonnes are there in 8.405318ug?
0.000000000008405318
How many years are there in 11/4 of a millennium?
2750
What is 84.08509km in nanometers?
84085090000000
Convert 506.6772 kilograms to grams.
506677.2
What is 140670715.5 microseconds in weeks?
0.00023259046875
Convert 949591.2 centimeters to kilometers.
9.495912
What is seventy-three fifths of a kilometer in meters?
14600
What is 21/4 of a tonne in kilograms?
5250
How many decades are there in 29.94829 millennia?
2994.829
What is 1/5 of a litre in millilitres?
200
How many millilitres are there in five quarters of a litre?
1250
What is 8.379089 decades in months?
1005.49068
How many millilitres are there in 69.94874l?
69948.74
What is 48/5 of a century in months?
11520
How many micrometers are there in 85.45245cm?
854524.5
What is 15/4 of a meter in centimeters?
375
How many months are there in 13/5 of a millennium?
31200
What is nine tenths of a micrometer in nanometers?
900
How many milligrams are there in seventeen halves of a gram?
8500
Convert 51.32617 millilitres to litres.
0.05132617
How many milligrams are there in fifty-nine fifths of a gram?
11800
Convert 1051.4298 months to years.
87.61915
What is 5/8 of a kilogram in grams?
625
Convert 839494.2mg to grams.
839.4942
Convert 605.451 millilitres to litres.
0.605451
Convert 6.507746 micrograms to milligrams.
0.006507746
Convert 0.3736888ml to litres.
0.0003736888
How many kilograms are there in 6.046704mg?
0.000006046704
What is 674391.15 milliseconds in hours?
0.187330875
What is nine tenths of a litre in millilitres?
900
How many days are there in 23468.67 nanoseconds?
0.000000000271628125
How many kilometers are there in 7777.584m?
7.777584
How many nanometers are there in one sixteenth of a millimeter?
62500
How many minutes are there in 1/24 of a day?
60
Convert 71246.46 grams to micrograms.
71246460000
How many millimeters are there in 21/8 of a meter?
2625
What is 0.389802l in millilitres?
389.802
What is 6809.338ml in litres?
6.809338
Convert 13893975.9us to weeks.
0.00002297284375
Convert 0.3404558um to meters.
0.0000003404558
How many decades are there in 18/5 of a millennium?
360
Convert 2391.84333 seconds to days.
0.027683371875
What is 92369.86ml in litres?
92.36986
How many millilitres are there in 910.9339l?
910933.9
What is 6/25 of a kilometer in centimeters?
24000
Convert 1084.51 centuries to decades.
10845.1
Convert 5093.487 centuries to decades.
50934.87
How many millilitres are there in 1/5 of a litre?
200
What is fifteen quarters of a litre in millilitres?
3750
How many milliseconds are there in 2.809116 seconds?
2809.116
Convert 435040.3 seconds to milliseconds.
435040300
What is 2592.17 milligrams in grams?
2.59217
What is 43.27937 millilitres in litres?
0.04327937
What is 882.3627 micrometers in meters?
0.0008823627
What is 37/2 of a week in hours?
3108
What is eleven tenths of a millennium in months?
13200
Convert 83.29836 decades to millennia.
0.8329836
What is 3/8 of a decade in months?
45
What is 681.3303ml in litres?
0.6813303
What is one tenth of a kilogram in grams?
100
Convert 210310.65 months to decades.
1752.58875
Convert 731.4371t to kilograms.
731437.1
Convert 75104.31s to milliseconds.
75104310
What is 327308.6 tonnes in nanograms?
327308600000000000000
How many hours are there in 45667.63 weeks?
7672161.84
Convert 35941.86mm to meters.
35.94186
What is 5/4 of a litre in millilitres?
1250
How many milligrams are there in one quarter of a gram?
250
Convert 88910.08mg to tonnes.
0.00008891008
How many millilitres are there in 17/2 of a litre?
8500
How many litres are there in 3.567513 millilitres?
0.003567513
What is 1/5 of a milligram in micrograms?
200
What is 3/25 of a litre in millilitres?
120
How many milliseconds are there in 7.061157 weeks?
4270587753.6
What is five quarters of a gram in milligrams?
1250
How many nanograms are there in 25/4 of a microgram?
6250
How many months are there in 0.78953 decades?
94.7436
How many seconds are there in 266.274 minutes?
15976.44
How many months are there in 1/4 of a century?
300
How many minutes are there in thirty-three fifths of a hour?
396
How many years are there in eighteen fifths of a century?
360
What is 198368.8 grams in tonnes?
0.1983688
How many milligrams are there in 3/8 of a gram?
375
How many nanoseconds are there in fourty-six fifths of a microsecond?
9200
How many decades are there in 39041.2 years?
3904.12
What is 2.845095 kilograms in nanograms?
2845095000000
Convert 86.51054 centuries to millennia.
8.651054
What is twenty-five quarters of a week in hours?
1050
What is three sixteenths of a centimeter in micrometers?
1875
How many kilograms are there in eleven quarters of a tonne?
2750
What is 2303.862 weeks in hours?
387048.816
What is 3/10 of a gram in milligrams?
300
How many milliseconds are there in 103081.5 seconds?
103081500
How many micrometers are there in three fifths of a millimeter?
600
How many meters are there in 0.3860529nm?
0.0000000003860529
What is four fifteenths of a hour in seconds?
960
What is eleven tenths of a litre in millilitres?
1100
What is 15.51687 nanometers in meters?
0.00000001551687
What is three eighths of a tonne in kilograms?
375
How many millilitres are there in one fifth of a litre?
200
What is fifty-one halves of a kilogram in grams?
25500
Convert 1.048879 grams to nanograms.
1048879000
What is 67/5 of a century in decades?
134
What is twenty-six fifths of a decade in months?
624
How many millilitres are there in three eighths of a litre?
375
What is 11/4 of a kilometer in meters?
2750
How many litres are there in 57343.68 millilitres?
57.34368
How many meters are there in thirteen fifths of a kilometer?
2600
How many months are there in 4/15 of a millennium?
3200
How many milliseconds are there in 5.211676 days?
450288806.4
Convert 0.8751312l to millilitres.
875.1312
What is 30/7 of a week in minutes?
43200
How many minutes are there in eighteen fifths of a hour?
216
What is 0.1111992 kilograms in tonnes?
0.0001111992
How many millilitres are there in fifteen quarters of a litre?
3750
How many centimeters are there in 6/25 of a kilometer?
24000
What is 316.1184 days in microseconds?
27312629760000
How many hours are there in three sevenths of a week?
72
What is 4.60259ml in litres?
0.00460259
How many years are there in 93.52281 months?
7.7935675
How many kilograms are there in 43143.97 milligrams?
0.04314397
How many milligrams are there in thirteen fifths of a gram?
2600
How many days are there in 673.83216 minutes?
0.467939
Convert 12.3924 millennia to years.
12392.4
How many millilitres are there in 0.9832941 litres?
983.2941
Convert 1964.544ml to litres.
1.964544
What is 47577.86mm in micrometers?
47577860
How many years are there in 954432.5 decades?
9544325
What is 24.50335 millilitres in litres?
0.02450335
What is 7.071701 days in hours?
169.720824
How many decades are there in 0.8052978 months?
0.006710815
How many grams are there in 254168.2 milligrams?
254.1682
How many grams are there in 3/8 of a kilogram?
375
How many nanograms are there in twenty-six fifths of a microgram?
5200
What is three tenths of a tonne in kilograms?
300
How many millilitres are there in 27/2 of a litre?
13500
How many micrograms are there in 3/5 of a milligram?
600
How many nanometers are there in 75/2 of a micrometer?
37500
How many seconds are there in five quarters of a minute?
75
Convert 0.9182469ml to litres.
0.0009182469
How many micrometers are there in fifteen quarters of a millimeter?
3750
What is 3/50 of a kilometer in millimeters?
60000
How many litres are there in 5.831413 millilitres?
0.005831413
What is 5/4 of a millennium in decades?
12 | {
"pile_set_name": "DM Mathematics"
} |
47129, 254175?
1176*a**3 + a**2 + 19*a + 9
What is the r'th term of -1861, -1852, -1833, -1804, -1765, -1716, -1657?
5*r**2 - 6*r - 1860
What is the z'th term of -2978, -2969, -2960, -2951, -2942?
9*z - 2987
What is the d'th term of -169127, -338257, -507387, -676517, -845647?
-169130*d + 3
What is the d'th term of 71, 99, 111, 101, 63, -9, -121, -279?
-d**3 - 2*d**2 + 41*d + 33
What is the g'th term of -125, -365, -767, -1331, -2057, -2945?
-81*g**2 + 3*g - 47
What is the t'th term of -99, -30, 39?
69*t - 168
What is the d'th term of -16812, -33733, -50654, -67575?
-16921*d + 109
What is the j'th term of 3602, 7226, 10902, 14654, 18506, 22482?
4*j**3 + 2*j**2 + 3590*j + 6
What is the d'th term of 1917, 3420, 4923, 6426?
1503*d + 414
What is the g'th term of 1771, 7082, 15933, 28324, 44255, 63726, 86737?
1770*g**2 + g
What is the s'th term of -94, -81, -66, -49, -30, -9?
s**2 + 10*s - 105
What is the q'th term of -726064, -1452125, -2178186, -2904247?
-726061*q - 3
What is the h'th term of -259, -277, -83, 323, 941, 1771?
106*h**2 - 336*h - 29
What is the f'th term of -427, -1629, -3639, -6457, -10083, -14517, -19759?
-404*f**2 + 10*f - 33
What is the r'th term of 6644, 6640, 6636, 6632, 6628, 6624?
-4*r + 6648
What is the s'th term of 1226, 2299, 3362, 4409, 5434?
-s**3 + s**2 + 1077*s + 149
What is the j'th term of 113382, 226761, 340140, 453519, 566898?
113379*j + 3
What is the f'th term of 620, 1364, 3368, 7262, 13676, 23240, 36584?
105*f**3 + 9*f + 506
What is the p'th term of 137, 148, 159?
11*p + 126
What is the c'th term of -64, -200, -426, -742?
-45*c**2 - c - 18
What is the i'th term of -323074, -323079, -323084, -323089, -323094?
-5*i - 323069
What is the z'th term of 2169388, 4338776, 6508164, 8677552, 10846940, 13016328?
2169388*z
What is the r'th term of -3532, -3594, -3698, -3844, -4032, -4262?
-21*r**2 + r - 3512
What is the y'th term of -1712, -13741, -46412, -110045, -214960, -371477, -589916?
-1720*y**3 - y**2 + 14*y - 5
What is the u'th term of -206, -190, -172, -152, -130?
u**2 + 13*u - 220
What is the n'th term of 133, 188, 285, 424, 605?
21*n**2 - 8*n + 120
What is the d'th term of -2014, -1984, -1964, -1960, -1978, -2024, -2104?
-d**3 + d**2 + 34*d - 2048
What is the s'th term of 81, 255, 535, 921, 1413, 2011?
53*s**2 + 15*s + 13
What is the x'th term of -230, -969, -2208, -3947?
-250*x**2 + 11*x + 9
What is the h'th term of 3413241, 6826480, 10239719?
3413239*h + 2
What is the x'th term of -1165, -4643, -10447, -18577, -29033, -41815, -56923?
-1163*x**2 + 11*x - 13
What is the m'th term of 3088, 6172, 9258, 12346?
m**2 + 3081*m + 6
What is the l'th term of 43574, 43588, 43614, 43658, 43726, 43824, 43958?
l**3 + 7*l + 43566
What is the l'th term of -88665, -88670, -88675?
-5*l - 88660
What is the m'th term of -19, 118, 457, 1088, 2101, 3586, 5633?
15*m**3 + 11*m**2 - m - 44
What is the i'th term of -624960, -1249924, -1874890, -2499858, -3124828, -3749800?
-i**2 - 624961*i + 2
What is the v'th term of -25969, -51602, -77223, -102826, -128405?
v**3 - 25640*v - 330
What is the x'th term of 52, 158, 298, 448, 584?
-4*x**3 + 41*x**2 + 11*x + 4
What is the z'th term of -446, -1342, -2676, -4448, -6658?
-219*z**2 - 239*z + 12
What is the u'th term of 724496, 1448992, 2173488, 2897984, 3622480?
724496*u
What is the j'th term of 1083, 2044, 3023, 4026, 5059?
j**3 + 3*j**2 + 945*j + 134
What is the j'th term of -188, -262, -226, -86, 152, 482?
-j**3 + 61*j**2 - 250*j + 2
What is the h'th term of -5723, -5738, -5775, -5846, -5963, -6138, -6383, -6710?
-2*h**3 + h**2 - 4*h - 5718
What is the i'th term of 8675, 8674, 8673, 8672?
-i + 8676
What is the p'th term of -526, -1058, -1592, -2128, -2666?
-p**2 - 529*p + 4
What is the q'th term of -2407, -4822, -7237, -9652, -12067?
-2415*q + 8
What is the f'th term of 1070, 2143, 3216, 4289, 5362?
1073*f - 3
What is the z'th term of -597, -1201, -1801, -2397?
2*z**2 - 610*z + 11
What is the d'th term of 0, 1045, 3888, 9429, 18568, 32205, 51240, 76573?
150*d**3 - d**2 - 2*d - 147
What is the n'th term of -2236, -2266, -2304, -2350?
-4*n**2 - 18*n - 2214
What is the r'th term of -2636, -4941, -7246, -9551?
-2305*r - 331
What is the p'th term of -716033, -716043, -716065, -716105, -716169, -716263?
-p**3 - 3*p - 716029
What is the k'th term of -3864, -3561, -3258?
303*k - 4167
What is the v'th term of 1030, 2612, 4194?
1582*v - 552
What is the o'th term of 47, 110, 195, 296, 407, 522?
-o**3 + 17*o**2 + 19*o + 12
What is the k'th term of 6405, 12808, 19207, 25602?
-2*k**2 + 6409*k - 2
What is the z'th term of 92970, 92963, 92940, 92895, 92822, 92715, 92568?
-z**3 - 2*z**2 + 6*z + 92967
What is the n'th term of 1209357, 2418719, 3628079, 4837437?
-n**2 + 1209365*n - 7
What is the g'th term of -412, -452, -492, -532?
-40*g - 372
What is the g'th term of -71802, -287153, -646072, -1148559, -1794614, -2584237?
-71784*g**2 + g - 19
What is the u'th term of 713, 1410, 2107?
697*u + 16
What is the x'th term of -880, -3712, -8432, -15040, -23536?
-944*x**2 + 64
What is the r'th term of -2031, -4072, -6113?
-2041*r + 10
What is the c'th term of 39809, 79718, 119627, 159536, 199445?
39909*c - 100
What is the d'th term of -45955, -91913, -137871?
-45958*d + 3
What is the z'th term of 161, 576, 1235, 2132, 3261?
-z**3 + 128*z**2 + 38*z - 4
What is the f'th term of 60877, 60875, 60873, 60871, 60869, 60867?
-2*f + 60879
What is the m'th term of -83, -153, -227, -311, -411?
-m**3 + 4*m**2 - 75*m - 11
What is the v'th term of 284668, 569353, 854038?
284685*v - 17
What is the k'th term of 24848, 24850, 24852?
2*k + 24846
What is the q'th term of 300, 182, 64, -54, -172?
-118*q + 418
What is the i'th term of -272, -2351, -4430, -6509, -8588, -10667?
-2079*i + 1807
What is the z'th term of 4495, 4474, 4445, 4402, 4339, 4250?
-z**3 + 2*z**2 - 20*z + 4514
What is the s'th term of -2992, -2978, -2970, -2974, -2996, -3042, -3118, -3230?
-s**3 + 3*s**2 + 12*s - 3006
What is the x'th term of -347, -1439, -3255, -5789, -9035, -12987?
x**3 - 368*x**2 + 5*x + 15
What is the c'th term of -19455, -19452, -19455, -19470, -19503?
-c**3 + 3*c**2 + c - 19458
What is the o'th term of 81, 76, 53, 18, -23, -64?
o**3 - 15*o**2 + 33*o + 62
What is the w'th term of 2701, 5393, 8087, 10783, 13481, 16181, 18883?
w**2 + 2689*w + 11
What is the s'th term of -31296, -31271, -31246?
25*s - 31321
What is the g'th term of -94, -50, 22, 122?
14*g**2 + 2*g - 110
What is the k'th term of -108, -245, -432, -687, -1028?
-3*k**3 - 7*k**2 - 95*k - 3
What is the t'th term of 1374, 1709, 2260, 3021, 3986?
-t**3 + 114*t**2 + 1261
What is the l'th term of -17156, -17147, -17138, -17129?
9*l - 17165
What is the p'th term of -182, -171, -142, -89, -6, 113?
p**3 + 3*p**2 - 5*p - 181
What is the o'th term of 829, 2007, 3481, 5257, 7341?
o**3 + 142*o**2 + 745*o - 59
What is the m'th term of -613, -598, -583?
15*m - 628
What is the n'th term of 6372, 6383, 6396, 6411, 6428, 6447?
n**2 + 8*n + 6363
What is the u'th term of 41375, 82749, 124123, 165497?
41374*u + 1
What is the d'th term of 40, 20, -52, -206, -472?
-5*d**3 + 4*d**2 + 3*d + 38
What is the y'th term of 23, 10, 3, 2, 7?
3*y**2 - 22*y + 42
What is the a'th term of -2198, -2189, -2180, -2171, -2162, -2153?
9*a - 2207
What is the j'th term of 1618, 6502, 14640, 26032, 40678, 58578, 79732?
1627*j**2 + 3*j - 12
What is the h'th term of 1077, 926, 511, -300, -1639, -3638, -6429, -10144?
-22*h**3 + 3*h + 1096
What is the u'th term of 7581020, 7581019, 7581018, 7581017?
-u + 7581021
What is the k'th term of 1737918, 1737915, 1737910, 1737903, 1737894, 1737883, 1737870?
-k**2 + 1737919
What is the b'th term of 612154, 612155, 612156, 612157?
b + 612153
What is the b'th term of 2181, 2305, 2447, 2607, 2785, 2981, 3195?
9*b**2 + 97*b + 2075
What is the i'th term of 198010, 396018, 594026?
198008*i + 2
What is the p'th term of 698, 646, 520, 284, -98?
-6*p**3 - p**2 - 7*p + 712
What is the d'th term of 18, 5, 12, 45, 110, 213, 360?
d**3 + 4*d**2 - 32*d + 45
What is the b'th term of 631, 5473, 18667, 44389, 86815?
696*b**3 - 30*b - 35
What is the t'th term of 8716358, 8716357, 8716356?
-t + 8716359
What is the t'th term of 4341, 8699, 13055, 17409?
-t**2 + 4361*t - 19
What is the a'th term of 33017, 3301 | {
"pile_set_name": "DM Mathematics"
} |
he highest common divisor of 2156 and 30987?
11
Calculate the highest common factor of 42519 and 3.
3
Calculate the highest common divisor of 20 and 18.
2
What is the greatest common factor of 29554 and 42?
14
What is the greatest common factor of 5348 and 49?
7
What is the greatest common factor of 9639 and 819?
63
What is the highest common divisor of 45526 and 170?
34
Calculate the highest common divisor of 66 and 809226.
66
Calculate the greatest common divisor of 1099 and 32499.
157
What is the highest common factor of 32785 and 15355?
415
What is the greatest common divisor of 22688 and 32?
32
Calculate the greatest common divisor of 12712 and 104.
8
What is the highest common divisor of 999 and 2968695?
333
What is the highest common factor of 30392 and 12528?
232
Calculate the highest common factor of 837 and 5177.
31
What is the greatest common divisor of 21 and 2044?
7
Calculate the highest common factor of 5909 and 25099.
19
What is the highest common divisor of 16 and 49224?
8
Calculate the greatest common factor of 48024 and 8758.
58
Calculate the highest common factor of 1746 and 69064.
194
Calculate the highest common divisor of 450 and 33850.
50
What is the greatest common factor of 35 and 321545?
35
What is the highest common divisor of 4210 and 473204?
842
What is the highest common factor of 6139840 and 10?
10
What is the highest common factor of 907061 and 17410?
1741
Calculate the greatest common divisor of 2601074 and 5264.
658
Calculate the greatest common factor of 665 and 46445.
35
What is the highest common factor of 418047 and 1479?
51
Calculate the highest common divisor of 51 and 324343.
17
What is the greatest common divisor of 12283713 and 1742?
871
Calculate the greatest common divisor of 100644 and 24.
12
What is the highest common factor of 62 and 949282?
62
Calculate the highest common divisor of 67608 and 6.
6
What is the greatest common divisor of 1597540 and 448?
28
Calculate the greatest common factor of 18492 and 153564.
804
What is the highest common divisor of 1317 and 8821705?
439
What is the highest common divisor of 5362 and 30506?
14
What is the greatest common factor of 2662 and 1342?
22
What is the highest common factor of 30 and 7242?
6
What is the highest common divisor of 14641 and 352?
11
Calculate the greatest common divisor of 90 and 6418.
2
Calculate the greatest common factor of 4056 and 71318.
338
Calculate the greatest common divisor of 3484 and 97994.
26
Calculate the greatest common factor of 2650 and 420025.
1325
Calculate the greatest common divisor of 1236 and 159032.
412
What is the highest common divisor of 150 and 2157?
3
Calculate the highest common factor of 37727 and 62.
31
Calculate the highest common factor of 825 and 19415.
55
What is the greatest common divisor of 20320 and 159512?
1016
Calculate the highest common divisor of 66 and 66678.
6
Calculate the greatest common factor of 1048 and 100.
4
What is the greatest common factor of 13800 and 4650?
150
What is the highest common divisor of 20 and 7810?
10
What is the greatest common divisor of 159 and 5967?
3
Calculate the highest common factor of 53977 and 385.
77
Calculate the greatest common divisor of 60 and 14340.
60
What is the greatest common divisor of 42 and 808?
2
Calculate the greatest common divisor of 36308 and 788.
4
What is the greatest common factor of 155 and 49817?
31
What is the highest common factor of 25 and 331350?
25
Calculate the greatest common factor of 118 and 865294.
118
What is the highest common divisor of 32435 and 136726?
499
Calculate the highest common factor of 130622 and 5302.
482
Calculate the highest common divisor of 50305 and 175.
5
What is the highest common divisor of 6345 and 16450?
235
What is the greatest common divisor of 486 and 3132?
54
Calculate the greatest common factor of 13282 and 1566.
58
What is the highest common divisor of 508 and 557657?
127
What is the highest common divisor of 298 and 41869?
149
Calculate the greatest common divisor of 9783 and 603.
9
Calculate the greatest common divisor of 56 and 68936.
56
What is the greatest common divisor of 5008104 and 72?
72
Calculate the greatest common divisor of 273 and 29562.
39
Calculate the highest common divisor of 117992 and 43.
43
Calculate the highest common divisor of 58 and 4729436.
58
Calculate the highest common divisor of 3568 and 600.
8
What is the highest common divisor of 12141 and 36352?
71
What is the greatest common factor of 91112 and 84?
28
What is the greatest common factor of 43560 and 5220?
180
Calculate the greatest common divisor of 16300 and 75.
25
What is the greatest common divisor of 162568 and 28?
28
What is the greatest common factor of 114048 and 57420?
396
What is the highest common divisor of 111 and 1149?
3
What is the greatest common divisor of 852 and 238844?
284
What is the highest common divisor of 27688 and 1632?
8
Calculate the greatest common divisor of 354 and 117056.
118
Calculate the greatest common divisor of 825 and 75669.
33
Calculate the highest common factor of 46 and 165853.
23
What is the greatest common factor of 8 and 13727864?
8
What is the highest common factor of 4554 and 1008?
18
What is the greatest common divisor of 654 and 8802?
6
What is the greatest common factor of 1026 and 2014?
38
What is the greatest common divisor of 4797 and 57933?
369
What is the highest common factor of 18975 and 38625?
75
Calculate the highest common divisor of 182 and 495614.
14
What is the highest common factor of 3132 and 432?
108
Calculate the greatest common factor of 156476 and 4.
4
What is the highest common factor of 98 and 203497?
49
What is the highest common divisor of 31250 and 50?
50
What is the greatest common divisor of 140119 and 1036?
259
Calculate the greatest common factor of 81024 and 22656.
384
What is the greatest common factor of 29160 and 280?
40
Calculate the highest common factor of 39639 and 81906.
219
Calculate the greatest common divisor of 20618 and 2028.
338
What is the highest common factor of 2370 and 640690?
790
Calculate the highest common divisor of 13440 and 252.
84
What is the highest common factor of 564 and 39588?
12
What is the highest common divisor of 684579 and 1470?
147
What is the highest common factor of 372 and 12624?
12
Calculate the greatest common divisor of 12 and 335244.
12
What is the highest common divisor of 8318272 and 46?
46
Calculate the greatest common factor of 84148 and 1351.
193
Calculate the greatest common factor of 44 and 7776384.
44
Calculate the highest common factor of 2976 and 2661536.
992
What is the highest common factor of 293806 and 82?
82
Calculate the highest common factor of 209683 and 4203.
467
What is the greatest common divisor of 61860 and 180?
60
Calculate the highest common divisor of 373714 and 88.
22
Calculate the greatest common factor of 1051465 and 1130.
565
Calculate the greatest common factor of 3132 and 49213.
29
What is the greatest common factor of 127 and 471424?
127
What is the greatest common divisor of 256 and 13480?
8
Calculate the highest common factor of 6539 and 86013.
503
What is the greatest common divisor of 13255 and 231?
11
Calculate the highest common factor of 1794 and 1428323.
299
Calculate the highest common divisor of 2079 and 2448171.
297
What is the greatest common divisor of 898 and 13919?
449
Calculate the greatest common factor of 30804 and 284484.
1812
What is the greatest common factor of 67180 and 50?
10
What is the highest common factor of 65 and 1242553?
13
Calculate the highest common factor of 4275 and 17613.
171
Calculate the highest common divisor of 200080 and 82.
82
What is the greatest common factor of 19908 and 27972?
252
Calculate the highest common divisor of 8490 and 1230.
30
What is the greatest common factor of 660 and 39765?
165
What is the greatest common factor of 282315 and 2805?
165
Calculate the highest common factor of 9115050 and 20.
10
Calculate the highest common factor of 1572 and 90228.
12
What is the greatest common factor of 4005 and 12535?
5
What is the greatest common factor of 342184 and 8?
8
Calculate the greatest common divisor of 515 and 23587.
103
Calculate the highest common divisor of 25872 and 441.
147
Calculate the great | {
"pile_set_name": "DM Mathematics"
} |
k or j?
j
Let x be (-2)/11*1 + (-349)/(-187). Let r = x - 24/17. Let g be 2/28*(-3 - -7)/1. Are g and r nonequal?
True
Let n be ((-39)/234*3/(-2))/(15/(-12)). Suppose j = 3*j + 18. Is n smaller than j?
False
Let n(a) = a**3 - 42*a**2 + 6*a - 224. Let i be n(42). Let h be (i/42)/(10/15). Is h greater than -1/134?
True
Let z = -4719 - -283133/60. Let g = 13/180 + z. Is g at most as big as 2?
True
Let h = 2327 - 2327.3. Let d = -16.9 + 17. Let p = -0.28 + d. Which is greater: h or p?
p
Let v(t) = 58 + 23 - 13*t + 22 + 41. Let b be v(11). Which is smaller: b or 5/17?
5/17
Let c = -16837 - -16858.04. Are c and 4 non-equal?
True
Let l(d) = -2*d**3 + 38*d**2 - 37*d + 27. Let y be l(18). Let b be ((-9)/10)/(y/15). Which is smaller: -12 or b?
-12
Let m be (-1)/(-2) - (28/24 - 0/24). Which is bigger: 206 or m?
206
Let d = 87 + -160. Let x = 76.277 + -74.277. Which is smaller: x or d?
d
Let p = -2 + 2.3. Let c = -293 - -278.15. Let h = c - -15. Is h less than or equal to p?
True
Suppose 815 = 2*b - h, 4*b - 3*h + 389 - 2024 = 0. Let t = b + -404. Is t greater than -5?
True
Let v = 95 + -96. Let w be 184/(-12) + v + (-4)/(-12). Which is smaller: w or -18?
-18
Let j = 160591/570 + -1691/6. Let n = -12 + 13. Is j less than or equal to n?
True
Let f be (132/120)/((-36)/8940). Which is smaller: -273 or f?
f
Suppose 60*g = 54*g - 48. Let q = 212 - 229. Are q and g equal?
False
Let b = -2.516 + 2.616. Is b > 1465?
False
Suppose -3*d = 5*u + 219, 0 = u + 2*d - d + 45. Let o be ((-4)/u)/((-4)/(4*-15)). Is o less than -2?
False
Let z(p) = 6*p + 35. Let h be z(-5). Let s be 6/(-75)*h + (-38)/5. Suppose 4*x = -4*k - 32, 15 = -2*k - 4*x - 9. Which is smaller: s or k?
s
Let o = -600597 + 4214829/7. Which is greater: o or 1520?
o
Suppose -154*n + 11911 = -45*n - 8690. Is n at least -14?
True
Let p = -158427137/4112 + 38528. Does 1 = p?
False
Let p = -31/51 + 1300/153. Is 7 less than p?
True
Let u(b) = -b**2 + b + 2. Let a be u(-2). Let o(z) = 2*z + 14. Let w be o(a). Let j be w/22*20/(-6). Which is smaller: 0.2 or j?
j
Let y = -17 + 22. Suppose y = -4*r + 25. Suppose -r*z - 212 = -27. Is z bigger than -37?
False
Let n(a) = -29*a**2 - 726*a - 26. Let u be n(-25). Is u at most -3/11?
True
Let x be ((-8)/(-12))/(226/(-6)). Suppose 5 = 4*o + 31*l - 32*l, -3 = 2*o + 5*l. Is o != x?
True
Let s = -8992/76143 + 2/4479. Let f = 3886/23 - 169. Which is bigger: s or f?
f
Let o = -301.262 - -305.9. Let h = o + -0.638. Let s = 0.7 - -0.3. Which is smaller: s or h?
s
Let r = -346/9 - -115/9. Let n = r + 925/33. Which is greater: 3 or n?
3
Let y = 10536 - 8469. Are y and -2 unequal?
True
Let f = -315.9 + 316. Let j = -183 + 82. Are f and j unequal?
True
Let l = 6781 + -6784.083. Let o = -0.083 - l. Let g = 0 + 0.1. Is g at most as big as o?
True
Let x(w) = w**3 - 73*w**2 + 145*w - 213. Let s be x(71). Let z be 10/(-45) - 64/(-450). Is z greater than s?
False
Let w be (1 - -1) + (-20514987)/3213. Let r = -6383 - w. Let h(y) = -y**2 + 19*y - 71. Let b be h(14). Is r smaller than b?
False
Let m be (-4)/(-14) - (6 + (-280)/49). Suppose 2*s + 5*n + 17 = -1, m = -4*s - n. Which is bigger: s or 1/352?
s
Let v(j) = -j**3 + 18*j**2 - 31*j - 36. Let u be v(16). Let w be ((-146)/u - 6)*-3. Which is greater: -5 or w?
w
Let f(g) = 1. Let p(w) = w - 7. Let k(u) = 4*f(u) + p(u). Let q(t) = -3*t + 11. Let b(y) = -9*k(y) - 2*q(y). Let o be b(0). Is -7 equal to o?
False
Let j be ((-5 + 1)/(-2))/(3 - 854/286). Is j > 140?
True
Let l(y) = 120*y + 35. Let o be l(12). Is 1473 less than o?
True
Let q = 22 - 33. Let v = 14280.1 + -14280. Does q = v?
False
Suppose -8*o + 26*o - 2268 = 0. Let q be (-3 - (-366)/o)*(-3)/36. Which is smaller: q or 1?
q
Let i be 4/3*236/(-33512). Is i equal to 0?
False
Let q be (22/4 + -5)/((-9)/1548). Which is smaller: q or -108?
-108
Let f be (-28)/(-4) + (-8)/(16/377). Does -183 = f?
False
Let l = 54 - 30. Let n = -22 + l. Let p be (-12)/18 + n/(-6) + 1. Which is smaller: p or -2/89?
-2/89
Let x(j) = 4*j - 14. Let y be x(5). Suppose -y*f = -11*f + 40. Suppose 58 = 8*w - 14. Is w >= f?
True
Suppose -3*h + 3*x = 4*x - 42, 70 = 5*h - x. Suppose h*a - 306 = -4*a. Which is smaller: a or 18?
a
Let f = -238 + 232. Let m be (-2900)/(-60)*4/((-16)/f). Is m greater than or equal to -2/3?
True
Let f = 0.4316 - 0.118. Are f and -0.1 nonequal?
True
Let a = -3700 - -3780. Is 79 less than or equal to a?
True
Suppose d = -86 + 247. Suppose -6*a - d = -11. Let s = a - -25. Which is greater: -1/46 or s?
s
Let c be 6 - 132/(10 + 12). Which is greater: 7/527 or c?
7/527
Let j(r) = 1624*r + 11368. Let h be j(-7). Is 12 bigger than h?
True
Let u = 14 - 29. Let b = u + 22. Suppose 4*m - b = -31. Which is greater: -3 or m?
-3
Let y = -17084/6475 - 2/1295. Which is bigger: y or -4?
y
Suppose 4*m - j = 10965, j - 6*j - 25 = 0. Which is smaller: 2741 or m?
m
Suppose 0 = -24*y - 68 - 964. Which is smaller: y or -37?
y
Let s(b) = 52*b - 463. Let w be s(15). Is w bigger than 318?
False
Let v = -8267/2 + 4121. Which is bigger: 6 or v?
6
Let z = -194 + 644. Let x = z + -399. Which is bigger: 5 or x?
x
Let n(s) = 2 - s + 3 + 4. Let w be n(4). Suppose -w*a + a = 0. Which is smaller: 12 or a?
a
Suppose 81*q - 82*q + 3*m + 620 = 0, 4*q = -5*m + 2412. Is q greater than 611?
False
Let i be ((-4)/10)/(1/(-10)). Let j(q) = 6*q + 146. Let k be j(-24). Let n be (-4)/k - 300/(-42). Which is greater: n or i?
n
Let z = 0.03 + -0.061. Let q = z + 25.031. Let y = 9 - q. Which is greater: -1 or y?
-1
Let x be (-3)/15 - 36/(-5). Let y = -3.6193 - -3.62. Let q = -4.9993 - y. Is x < q?
False
Suppose 2*n + 541 = -23*m + 20*m, -5*n - 910 = 5*m. Which is smaller: -129 or m?
m
Suppose 0 = -1090*k + 1068*k + 264. Which is smaller: 85 or k?
k
Suppose 25*y - 22*y = 6. Let f be 4 + 2/(y/(-5)). Let m be f*-3*(2 + 15). Which is smaller: m or 49?
49
Suppose 3615 = 702*u - 717*u. Is u at most -257?
False
Suppose v + 28 = -49. Let q be ((-50)/(-20))/((-4)/(-232)). Let w = -222 + q. Is v > w?
False
Suppose -4*h - 3*x = -171, -6*h = -2*h + 2*x - 166. Let m = 43777 + -481109/11. Are m and h nonequal?
True
Let d be (-49)/(-14)*(-6)/1. Let z = -22 - d. Let s be (z/(-1) - 1) + (-297)/(-77). Are 4 and s nonequal?
True
Let s = -0.8 - 0.2. Let v be ((-2)/(-20)*5)/(9/(-126)). Let o be (v/(-63))/1*7. Is s at least as big as o?
False
Let l = -331921/30 - -11063. Let i = 6029/5820 + l. Which is smaller: i or 1?
i
Suppose 4*r - 382 = 2*v, 2*r + 4*v = -0*v + 166. Let u(y) = y**2 + 601*y - 7889. Let f be u(13). Is r at most f?
True
Let w be ((-16576)/(-935730))/(1 - (-34)/20). Let n = w + -3/281. Which is smaller: n or -1?
-1
Let k(s) = -s**2 - 205. Let l be k(0). Let v be (-2)/(-6)*(-328 + -290). Which is smaller: v or l?
v
Let a be 4/(-6)*(6/(-2))/(-6). Let m = -1282 - -1268. Is m at least as big as a?
False
Let t(k) = k**3 - 23*k**2 + 101*k + 47. Let x be t(14). Is x < -312?
False
Let k = -498/145 - -17/5. Which is smaller: k or -20?
-20
Let s(u) = u**2 + u + 3. Let j be s(2). Let p(i) = -i - 1. Let m be p(j). Let r(c) = -4*c - 38. Let v be r(m). Is 6/5 at most as big as v?
True
Suppose -6*b + 1 = -2*y - 3*b, -y + 4*b = 8. Suppose 18 = -4*v - 2*o, 18 = v + o + y*o. Which is greater: v or -6?
-6
Let n(f) = -74 + 9*f + 34 - 74 - 10. Let g be n(15). Which is bigger: g or 0.08?
g
Let w = 37 - 32. Suppose -3*n - 2 = -w*n. Is n <= -108?
False
Suppose 17*r + 3682 = -1010. Let o = 87 + r. Which is smaller: -190 or o?
-190
Let m = 227 + -221. Let x = 2 - m. Which is smaller: x or -2/3?
x
Let t(x) = x**3 + 3*x**2 - 18*x - 42. Let j be t(-4). Which is smaller: 21 or j?
j
Let x = -2453 - -1331. Let o be (-19669)/x - 4/11. Which is greater: o or 18?
18
Suppose 32 = 28*v - 36*v. Let z be 66/363 - v/(-22). Which is smaller: z or -3/80?
-3/80
Suppose 309 = g - 225. Suppose -14*j - g = -8*j. Do j and -90 have different values?
True
Let b = -218 - -155. Let o be ((-2)/168)/(42/b). Which is greater: o or -1?
o
Let u = -8887 + 13618. Which is greater: 4730 or u?
u
Let s = 868 - 948. Let k be (-60)/s + (-41)/(-4). Is 12 >= k?
True
Suppose 41*c = -3*c + 4752. Suppose -4*x = -2*u + 446, 3*x - 3*u + 0*u + 342 = 0. Let b = c + x. Which is bigger: b or 2/49?
2/49
Let i = 0.034 + -0.014. Let j = 0.18 - i. Let a = j + 0.04. Which is bigger: a or -2?
a
Let g be (9849/216 + 7/ | {
"pile_set_name": "DM Mathematics"
} |
t common factor of 7 and 3269?
7
What is the highest common divisor of 21 and 168?
21
Calculate the greatest common factor of 2 and 331.
1
Calculate the highest common divisor of 54 and 12.
6
What is the greatest common factor of 624 and 468?
156
What is the greatest common factor of 34 and 697?
17
What is the greatest common factor of 576 and 666?
18
Calculate the greatest common divisor of 26 and 20267.
13
What is the greatest common divisor of 18444 and 424?
212
Calculate the greatest common divisor of 11 and 44.
11
What is the greatest common factor of 1465 and 5?
5
Calculate the greatest common divisor of 38 and 152.
38
What is the greatest common divisor of 2025 and 1575?
225
Calculate the greatest common factor of 38770 and 20.
10
Calculate the highest common factor of 162 and 2808.
54
What is the highest common factor of 522 and 290?
58
What is the greatest common divisor of 40 and 180?
20
Calculate the greatest common divisor of 159 and 212.
53
What is the greatest common factor of 1711 and 87?
29
Calculate the highest common divisor of 11 and 770.
11
Calculate the greatest common factor of 67 and 1943.
67
Calculate the highest common factor of 27 and 108.
27
Calculate the highest common factor of 976 and 183.
61
What is the greatest common divisor of 138 and 204?
6
Calculate the greatest common divisor of 923 and 142.
71
What is the highest common factor of 84 and 196?
28
Calculate the highest common divisor of 3921 and 9.
3
Calculate the greatest common divisor of 3577 and 146.
73
Calculate the greatest common factor of 53 and 5830.
53
What is the highest common factor of 3127 and 295?
59
Calculate the highest common factor of 20568 and 72.
24
Calculate the greatest common factor of 5824 and 28.
28
Calculate the greatest common factor of 729 and 9.
9
Calculate the highest common factor of 156 and 6591.
39
Calculate the greatest common divisor of 637 and 182.
91
Calculate the highest common factor of 5989 and 53.
53
Calculate the highest common factor of 357 and 21.
21
Calculate the greatest common factor of 8 and 3736.
8
Calculate the highest common divisor of 2889 and 6099.
321
What is the greatest common factor of 32 and 4?
4
What is the highest common divisor of 175 and 25?
25
What is the greatest common divisor of 64 and 24?
8
What is the greatest common factor of 325 and 13?
13
What is the highest common divisor of 5448 and 24?
24
What is the greatest common factor of 437 and 1824?
19
What is the highest common divisor of 2 and 62?
2
What is the greatest common factor of 106 and 3816?
106
What is the greatest common divisor of 100 and 1160?
20
Calculate the greatest common factor of 99 and 165.
33
Calculate the greatest common factor of 335 and 10.
5
What is the highest common factor of 75 and 39?
3
Calculate the greatest common factor of 20 and 230.
10
Calculate the highest common factor of 264 and 11112.
24
Calculate the highest common factor of 255 and 420.
15
What is the greatest common divisor of 4512 and 96?
96
Calculate the highest common factor of 2162 and 47.
47
Calculate the greatest common divisor of 182 and 6006.
182
Calculate the highest common divisor of 21 and 5061.
21
Calculate the highest common divisor of 110 and 20.
10
Calculate the greatest common factor of 242 and 110.
22
Calculate the highest common factor of 900 and 500.
100
Calculate the greatest common divisor of 42 and 4634.
14
Calculate the highest common divisor of 10 and 1140.
10
What is the highest common factor of 52 and 448?
4
What is the highest common factor of 360 and 960?
120
What is the greatest common factor of 14517 and 36?
9
Calculate the greatest common divisor of 494 and 608.
38
Calculate the highest common divisor of 280 and 105.
35
What is the greatest common divisor of 2940 and 120?
60
Calculate the highest common factor of 18 and 1206.
18
Calculate the highest common divisor of 17 and 544.
17
Calculate the highest common factor of 3096 and 48.
24
What is the highest common divisor of 29 and 203?
29
What is the greatest common divisor of 72 and 264?
24
Calculate the highest common divisor of 1664 and 4056.
104
Calculate the greatest common divisor of 481 and 1157.
13
What is the highest common factor of 15 and 55?
5
What is the greatest common factor of 1512 and 280?
56
Calculate the highest common factor of 10 and 1790.
10
Calculate the greatest common divisor of 198 and 110.
22
What is the greatest common divisor of 3355 and 495?
55
Calculate the greatest common divisor of 13167 and 66.
33
What is the greatest common factor of 2047 and 92?
23
Calculate the greatest common divisor of 7339 and 41.
41
What is the greatest common divisor of 368 and 138?
46
Calculate the greatest common factor of 101 and 3.
1
Calculate the highest common factor of 34 and 2822.
34
Calculate the greatest common divisor of 64 and 48.
16
Calculate the greatest common divisor of 464 and 112.
16
Calculate the greatest common divisor of 710 and 50.
10
What is the greatest common factor of 3757 and 39?
13
Calculate the highest common factor of 583 and 53.
53
What is the highest common factor of 102 and 986?
34
Calculate the greatest common divisor of 1715 and 175.
35
What is the greatest common divisor of 42 and 609?
21
Calculate the greatest common factor of 285 and 195.
15
Calculate the highest common divisor of 25 and 9425.
25
Calculate the greatest common factor of 780 and 455.
65
Calculate the greatest common divisor of 9 and 171.
9
Calculate the highest common divisor of 95 and 456.
19
What is the greatest common divisor of 324 and 48?
12
Calculate the greatest common divisor of 779 and 38.
19
Calculate the highest common factor of 4 and 32.
4
Calculate the greatest common factor of 4690 and 5.
5
What is the greatest common divisor of 329 and 3525?
47
Calculate the highest common factor of 7513 and 33.
11
Calculate the highest common factor of 51 and 646.
17
What is the highest common divisor of 516 and 9460?
172
Calculate the greatest common divisor of 76 and 2748.
4
Calculate the greatest common divisor of 242 and 363.
121
Calculate the greatest common divisor of 205 and 4469.
41
What is the highest common factor of 24 and 3252?
12
Calculate the highest common factor of 177 and 9.
3
What is the greatest common divisor of 12194 and 402?
134
Calculate the highest common divisor of 480 and 192.
96
Calculate the highest common factor of 3604 and 2756.
212
What is the highest common divisor of 50 and 520?
10
Calculate the greatest common divisor of 646 and 34.
34
What is the highest common divisor of 276 and 18124?
92
What is the greatest common divisor of 18 and 174?
6
Calculate the highest common divisor of 2 and 412.
2
Calculate the highest common factor of 3032 and 16.
8
What is the highest common divisor of 5589 and 23?
23
Calculate the highest common divisor of 3703 and 7.
7
Calculate the greatest common factor of 110 and 605.
55
What is the highest common factor of 265 and 20?
5
What is the highest common factor of 222 and 296?
74
What is the highest common factor of 414 and 126?
18
Calculate the greatest common factor of 56 and 3080.
56
Calculate the highest common factor of 292 and 11534.
146
Calculate the highest common factor of 411 and 274.
137
What is the greatest common divisor of 17 and 1462?
17
What is the highest common factor of 453 and 33?
3
What is the highest common factor of 8 and 676?
4
What is the greatest common factor of 1603 and 35?
7
Calculate the greatest common factor of 320 and 1620.
20
What is the highest common factor of 1176 and 108?
12
What is the highest common factor of 3 and 97?
1
What is the highest common factor of 3 and 8?
1
What is the highest common divisor of 819 and 91?
91
Calculate the greatest common factor of 2680 and 40.
40
Calculate the greatest common divisor of 284 and 12.
4
What is the highest common factor of 54 and 990?
18
What is the highest common factor of 40 and 184?
8
What is the highest common factor of 70 and 455?
35
Calculate the highest common factor of 50 and 6950.
50
Calculate the highest common factor of 1330 and 28.
14
Calculate the greatest common factor of 30 and 330.
30
What is the greatest common factor of 2158 and 498?
166
What is the highest common divisor of 300 and 1025?
25
What | {
"pile_set_name": "DM Mathematics"
} |
33 - 68 - 54 - d. Let k be z(20). Let r = 112 + k. Solve -r = 2*g + 1 for g.
-2
Suppose 8*z = -48 - 32. Let m be (-3)/(-6)*(28 + z). Solve -m*y = -8*y + 2 for y.
-2
Suppose 131*j = 110*j. Solve j = -28*f - 9 + 65 for f.
2
Suppose 8*j - 15*j + 21 = 0. Suppose -4*i + 2*c = -58, 0*i - 42 = -3*i + j*c. Solve -i*r = -14*r + 3 for r.
-3
Suppose -17*v - 379 - 1117 = 0. Let t be v/(-8) - 1/1. Solve r - t = -r for r.
5
Let m be 8*(-2 - -40)/((-6)/(-3)). Let s = m - 147. Solve 2*f = -15 + s for f.
-5
Let x = -3231 + 3256. Solve -x = -19*a + 24*a for a.
-5
Let f(p) = 90*p - 39. Let i be f(2). Let t be i/24 + (-22)/(-176). Solve t*o - 11*o = 5 for o.
-1
Let u(c) = c**2 - 14. Suppose -22*j - 9 = 79. Let p be u(j). Solve -2 + 6 = -p*o for o.
-2
Let u be -3 - ((-600)/33 + 8/44). Let z(y) = y + 9. Let d be z(-9). Suppose -5*q - h - 4*h - 5 = d, -2 = -q + 2*h. Solve 5*j + u = -q for j.
-3
Let g be 4/6 + 8/(-12). Let y = -835 + 840. Solve -y*z + z = g for z.
0
Let t be 45*5/30*(-10)/(-3). Solve 96 + 29 = -t*o for o.
-5
Let j = 4051 - 3814. Solve -94*h = -15*h - j for h.
3
Suppose 3*t = -4*s, -s - 2*s = -3*t. Suppose 0 = -3*p + 90 - 276. Let o = 66 + p. Solve t = 2*z - o - 0 for z.
2
Suppose 51*m = 110*m - 31860. Solve 510 = 6*r + m for r.
-5
Let c(q) be the first derivative of 6*q + 14 + 1/4*q**4 + 1/2*q**2 - 4/3*q**3. Let f be c(3). Solve -y = -f*y for y.
0
Let q = -4029 + 4035. Solve 20*l = 19*l - q for l.
-6
Let z be (-9)/(-2) - 7/(-14). Suppose -9 = -4*i - 2*p + 15, i - 3*p - 13 = 0. Solve i = -z*v - 3 for v.
-2
Suppose -5*m + 2*c + 606 = 0, 2*c + 612 = 5*m - 2*c. Suppose -m + 18 = -6*d. Solve 0 = -16*r + d*r for r.
0
Suppose 2*x = -4*l + 16, 14*x - 24 = 12*x + 4*l. Solve 17*v - x*v = 21 for v.
3
Let d = 1140 + -1197. Suppose 2*m + u + 0*u = 116, 0 = 5*m - 4*u - 303. Let g = m + d. Solve 0 = -0*y - g*y + 10 for y.
5
Suppose -l - 9*i = -4*i - 86, 4*i - 264 = -4*l. Solve -585 = l*m - 158 for m.
-7
Suppose 9 + 5 = -553*l + 14. Let d(m) = m**3 - 5*m**2 + 5. Let o be d(5). Solve l*b - 5 = o*b for b.
-1
Let h(w) = -7*w**3 + 9*w**2 - 4*w + 4. Let q(s) = 3*s**3 - 4*s**2 + s - 2. Let g(u) = -2*h(u) - 5*q(u). Let l be g(-2). Solve -16*i + l*i = -20 for i.
5
Suppose 73*n = -z + 72*n + 4198, -z - 4*n = -4174. Solve 0 = 4*c + z - 4230 for c.
6
Let d = -482 + 483. Let s(f) = 9*f**3 + 2*f**2. Let m be s(d). Solve 7*a + m + 17 = 0 for a.
-4
Let q(z) = 35*z - 40. Let u(b) = -72*b + 82. Let d(p) = 5*q(p) + 3*u(p). Let w be d(1). Solve w*n = -0*n - 20 for n.
-4
Let o be 72*(-2)/(0 - 16). Solve -3*g = -24 + o for g.
5
Let c(x) = -5*x - 35. Let d be c(-8). Let t(q) = -q + d + q**2 - 12*q + 9*q. Let v be t(4). Solve v*i = -8 - 2 for i.
-2
Suppose 4*q = -4*v + 1552, 0 = -5*v + 4*q + 1240 + 673. Let m = v + -385. Solve m*x - 4*x = 20 for x.
-5
Suppose -5*b + 3*p + 2*p = -650, 4*b = -4*p + 520. Solve 15*o = -11*o - b for o.
-5
Let b(p) be the second derivative of p**5/20 - 5*p**4/12 - 2*p**3 - 9*p**2/2 - 12*p - 1. Let l be b(7). Solve 0 = -2*a + 3 + l for a.
4
Let l = -14323 - -14360. Solve -18*i + l - 145 = 0 for i.
-6
Let o(z) = 2*z**3 - 113*z**2 + 168*z - 81. Let x be o(55). Solve 53*g - 31 = -x for g.
-1
Suppose 605 = -48*v + 59*v. Suppose -v*h = -60*h + 65. Solve 5*m = 3 - h for m.
-2
Let y = 7194 - 6985. Solve -9*c + y = 173 for c.
4
Let t = 5934 - 5930. Solve 7*c + t*c - 77 = 0 for c.
7
Suppose -117*v + 110*v = -630. Solve -156*h = -141*h + v for h.
-6
Let p be 2*(23 - 8)*2/12. Solve 58*y - p = 59*y for y.
-5
Suppose -p - 10 = -r + 2*p, -85 = -4*r + 3*p. Solve -10*q = 5 + r for q.
-3
Suppose 129*d - 3 = 128*d. Suppose 0 = 5*k - 3*r - 12 + 9, -2*k + d*r = 6. Let j(b) = -b + 5. Let s be j(-6). Solve -k*x + s = 2 for x.
3
Let w(h) be the first derivative of -15*h**2/2 + 20*h - 72. Let d be w(0). Solve 5 = -5*t + d for t.
3
Let n(i) = i**3 - 46*i**2 - 85*i + 1840. Let j be n(47). Solve 18*g + j = -0*g for g.
-3
Let q(f) = 23*f**2 + 20*f + 21. Let o be q(-1). Solve 17*u = -o + 41 for u.
1
Let d = 27 - 17. Let q be ((-4)/18*-3)/((-12)/54). Let k = 3 + q. Solve k = -0*r - 2*r + d for r.
5
Let b(v) = -v**2 + 8*v - 28. Let q(n) = n**2 - 8*n + 26. Let d(m) = 4*b(m) + 5*q(m). Let z be d(4). Solve 0 = c - 0*c + z for c.
-2
Let r be (-7 + (6 - 8))/(-3). Suppose -5*b + r*j - 4*j = -21, 5*b - 19 = j. Solve 8 = b*n - 4 for n.
3
Suppose 6 = 2*l + 4*d - 20, -3*d + 30 = 3*l. Suppose -l*u + 65 = -2*u. Let a = -25246 + 25249. Solve -a*z = u - 1 for z.
-4
Suppose w = -2*i + 3*w + 40, 0 = -3*i + 5*w + 58. Suppose p + 2 = 4, 5*d + 3*p - i = 0. Suppose l - 20 = -4*t, -l + 16 = d*t - 0*l. Solve 0 = m + m + t for m.
-2
Suppose -25*i + 1619 - 1544 = 0. Solve 29 = i*s + 20 for s.
3
Let u(r) be the second derivative of -1/20*r**5 + 1/2*r**4 + 11/6*r**3 - 5*r - 12*r**2 + 0. Let p be u(7). Solve -2*m = -p*m for m.
0
Suppose 4*m - 78 = -t, -290 + 260 = 5*t. Solve -84 = 21*z + m for z.
-5
Let s(v) = -v**2 - v + 3. Let n be s(0). Suppose 0 = 2*l - 2*f - 6, -3*f - 4 - 5 = n*l. Suppose 27*o = 11*o + 48. Solve o*i + 2 + 1 = l for i.
-1
Let r be 105/(-30)*((-2)/14 + -1). Let x be (-87)/(-18) + (-1)/(-6). Suppose 10 = 3*t + r*a - 4, x*t - a = 8. Solve w + 0*w + t = 0 for w.
-2
Let y(c) be the first derivative of c**3/3 - 2*c**2 - 54*c + 165. Let i be y(-6). Solve 4*j = i*j + 4 for j.
-2
Suppose 0 = -4*a + 3*g + 471, -a + 6*g - g = -105. Suppose 5*l = -7*l + a. Solve -l*k - 30 = -4*k for k.
-5
Suppose r + 71 = 3*m, 32*m = 37*m + 2*r - 100. Solve s = m*s for s.
0
Let n = 6039 - 5918. Solve 36 = 115*m - n*m for m.
-6
Let o(v) = -2*v - 16. Let z = 58 + -68. Let b be o(z). Solve -2 = u - b for u.
2
Suppose -1751*k = -1546*k - 41000. Solve -171*n = -k*n + 174 for n.
6
Let a be (-20)/((-500)/1225) + -1 + 8. Solve 18*q + a = -16 for q.
-4
Suppose -4*h - 3*x = -166 - 3, -28 = -h + 4*x. Let j be 2100/132 - (h/44 - 1). Let w(v) = v**2 + v. Let c be w(0). Solve c*l - 4*l - j = 0 for l.
-4
Let n be 1/3 + 2/3. Suppose -2*g = -3*z + 49, -10 = 25*g - 23*g. Solve -12*f - n = -z*f for f.
1
Let s be ((-455)/(-15) - 29)/(4/51). Solve s*x + 10*x = 189 for x.
7
Suppose 0 = 3*b - 5*k - 108 - 214, -4*b = -4*k - 448. Solve -b = 21*v + 7 for v.
-6
Let j be 375 + 26/((-468)/270). Solve 18*d + j = -27*d for d.
-8
Let k be (-51)/(-68) - ((-86)/(-8) - -2). Let l be 1/(-3)*(-18)/k*-8. Solve l*m - 15 = m for m.
5
Suppose -i + 10*i + 46*i = 2255. Solve -i*l - 118 = 5 for l.
-3
Suppose -5*o + 83 = -10*o - j, 2*o + 47 = -5*j. Let u be -4*(200/o - -9). Solve -6 - 36 = -u*x for x.
3
Let x be (-7)/(-14)*(0 + 4). Solve -x + 44 = 7*p for p.
6
Let c(m) = -m**2 + 26*m - 22. Let g be c(25). Suppose n = 5*j - g*n - 10, 5*j + 2*n - 10 = 0. Suppose -1 - j = -3*l. Solve 0 = 2*r - 3*r - l for r.
-1
Let y = 596 + -591. Suppose -16*s = -y - 75. Solve 20 + 0 = s*l for l.
4
Suppose -s - 3*s + 4*k + 16 = 0, 5 = -5*k. Let x(t) = 4*t**3 - 78*t**2 - 116*t - 207. Let j be x(21). Solve -s*g - j = -18 for g.
5
Let n(q) be the first derivative of 25*q**2 + 154*q - 51. Let f be n(-3). Solve -25 = f*m + m for m.
-5
Let x be 3 - (0 - -5)/(-5). Suppose -x*t = -p - 82, 5*t + 8*p = 4*p + 92. Solve 4*f = 9*f - t for f.
4
Suppose -5*c = -4*c. Let p be ((-6)/(-4))/(252/672). Suppose 20 = -5*u + 5*d, d = -2*u + 4*u + 3. Solve m + p + u = c for m.
-5
Suppose 365 = -f - 5*o, 4*f = -15*o + 19*o - 1508. Let d = f + 379. Solve -11*l + d = -10*l for l.
4
Let c(d) = -d**2 - 9*d - 23. Let s be c(-5). Let p(a) = 9*a + 31. Let b be p(s). Suppose 0 = u + 2*m + b, -4*m = 5*u - 0 - 4. Solve z + 8 = u for z.
-4
Suppose 0 = 2*v - 2*p - 24, -3*p - 1002 = -2*v - 975. Solve -11*d + 86 = v for d.
7
Let r(n) be the second derivative of n**5/10 - 11*n**4/12 - n**3 + 30*n. Let d be r(6). Let k be d*(4/(-6) + (-14)/(-12)). Solve k = 2*p - 3 + 5 for p.
-1
Suppose -4*b = w - 10, 4*b = 3*w - 0 + 18. Let d be (-23)/(-3) - (14/(-6) - w). Suppose -d*l = 5*m - 13*l, -4*m + 3*l + 1 = 0. Solve -5*g = -19 - m for g.
4
Suppose 0*b = -l + 3*b - 4, 5*l + 20 = -3*b. Let j be ((434/l)/7)/((-3)/6). Solve -6*k - 7 + j = 0 for k.
4
Let a = -46 + 26. Let z = -5 - a. Suppose 3*v - z = -0. Solve -2*u - v = -1 for u.
-2
Let r(z) = 3*z**2 - 8*z - 8. Let t be r(-4). Let d = -52 + t. Suppose d*f = 13*f. Solve 2*j = 4 - f for j.
2
Let r(a) = 4*a - 24. Suppose k + 364 - 370 = 0. Let j be r(k). Solve -v - v + 2 = j for v.
1
Le | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 1775 and 213.
71
What is the greatest common divisor of 426 and 5751?
213
What is the highest common factor of 1431 and 159?
159
Calculate the greatest common divisor of 2530 and 44.
22
What is the highest common factor of 35 and 1505?
35
What is the highest common divisor of 54 and 216?
54
Calculate the highest common divisor of 130 and 9204.
26
Calculate the greatest common factor of 32 and 1968.
16
Calculate the highest common divisor of 1640 and 40.
40
Calculate the greatest common factor of 156 and 26988.
156
Calculate the greatest common divisor of 1859 and 13.
13
What is the greatest common factor of 12 and 3372?
12
Calculate the greatest common factor of 54 and 3.
3
Calculate the greatest common factor of 10320 and 96.
48
Calculate the highest common factor of 408 and 374.
34
What is the highest common factor of 580 and 2755?
145
What is the greatest common factor of 117 and 52?
13
What is the highest common factor of 604 and 4?
4
What is the greatest common factor of 8716 and 4?
4
Calculate the greatest common divisor of 11 and 99.
11
What is the greatest common factor of 2096 and 32?
16
What is the greatest common divisor of 27 and 21537?
9
Calculate the highest common divisor of 106 and 1219.
53
Calculate the greatest common divisor of 4 and 2352.
4
Calculate the highest common factor of 105 and 385.
35
What is the greatest common divisor of 372 and 12?
12
What is the highest common divisor of 4 and 6852?
4
What is the greatest common factor of 664 and 8?
8
Calculate the greatest common factor of 21 and 1379.
7
What is the highest common divisor of 7176 and 26?
26
What is the greatest common factor of 161 and 7?
7
What is the highest common factor of 90 and 54?
18
What is the highest common divisor of 120 and 9480?
120
Calculate the highest common factor of 975 and 7215.
195
What is the highest common divisor of 364 and 65?
13
Calculate the highest common divisor of 1308 and 109.
109
What is the greatest common divisor of 192 and 948?
12
What is the highest common divisor of 32 and 34240?
32
What is the greatest common factor of 380 and 10925?
95
Calculate the highest common factor of 27807 and 93.
93
What is the highest common factor of 1927 and 615?
41
Calculate the highest common divisor of 65 and 3835.
65
What is the highest common factor of 3 and 2019?
3
What is the greatest common factor of 2940 and 60?
60
Calculate the greatest common divisor of 713 and 31.
31
Calculate the highest common factor of 390 and 546.
78
What is the highest common divisor of 5450 and 150?
50
Calculate the highest common divisor of 81 and 1593.
27
Calculate the greatest common divisor of 1 and 118.
1
Calculate the greatest common factor of 3130 and 10.
10
What is the highest common divisor of 45 and 63?
9
What is the greatest common factor of 483 and 21?
21
Calculate the highest common factor of 1 and 3151.
1
What is the greatest common factor of 1242 and 46?
46
What is the greatest common divisor of 87 and 1624?
29
Calculate the greatest common factor of 152 and 342.
38
What is the highest common divisor of 662 and 1?
1
What is the highest common divisor of 404 and 1313?
101
What is the greatest common factor of 8979 and 41?
41
Calculate the highest common divisor of 854 and 7.
7
Calculate the highest common divisor of 154 and 726.
22
What is the highest common factor of 119 and 51?
17
Calculate the greatest common factor of 86 and 1978.
86
Calculate the greatest common divisor of 26 and 299.
13
What is the highest common divisor of 82 and 697?
41
Calculate the highest common divisor of 795 and 15.
15
What is the greatest common divisor of 54 and 432?
54
What is the greatest common factor of 57450 and 30?
30
What is the highest common factor of 3 and 1293?
3
Calculate the highest common divisor of 324 and 180.
36
What is the highest common divisor of 19 and 152?
19
What is the greatest common factor of 1304 and 8?
8
Calculate the greatest common factor of 74 and 1887.
37
What is the greatest common factor of 445 and 89?
89
Calculate the highest common factor of 226 and 1.
1
Calculate the greatest common divisor of 434 and 7688.
62
Calculate the highest common factor of 1479 and 51.
51
What is the highest common factor of 208 and 48?
16
Calculate the highest common factor of 33 and 2915.
11
What is the highest common factor of 210 and 231?
21
What is the highest common divisor of 390 and 325?
65
Calculate the highest common factor of 252 and 306.
18
Calculate the greatest common divisor of 84 and 30597.
21
Calculate the highest common factor of 32 and 4.
4
What is the greatest common divisor of 258 and 645?
129
Calculate the highest common divisor of 42 and 126.
42
Calculate the highest common divisor of 414 and 18.
18
Calculate the highest common divisor of 876 and 84.
12
What is the highest common divisor of 2 and 2?
2
Calculate the greatest common divisor of 32 and 40.
8
What is the greatest common factor of 48 and 1128?
24
Calculate the greatest common divisor of 1552 and 16.
16
Calculate the greatest common factor of 775 and 124.
31
What is the highest common divisor of 114 and 42?
6
What is the highest common factor of 2318 and 244?
122
What is the highest common divisor of 11 and 77649?
11
What is the highest common factor of 18350 and 50?
50
What is the highest common factor of 181 and 9593?
181
What is the greatest common factor of 45 and 5985?
45
Calculate the highest common factor of 561 and 33.
33
What is the highest common divisor of 2193 and 153?
51
Calculate the highest common divisor of 480 and 180.
60
Calculate the greatest common factor of 308 and 112.
28
Calculate the greatest common divisor of 63 and 9576.
63
What is the highest common divisor of 12 and 12312?
12
Calculate the greatest common factor of 230 and 322.
46
What is the highest common divisor of 1081 and 94?
47
What is the highest common divisor of 6 and 516?
6
What is the highest common divisor of 5 and 1945?
5
Calculate the highest common factor of 84 and 60.
12
What is the greatest common factor of 58 and 87?
29
What is the highest common divisor of 7 and 1561?
7
Calculate the highest common factor of 3350 and 201.
67
What is the highest common factor of 4823 and 637?
91
Calculate the highest common divisor of 297 and 385.
11
Calculate the greatest common divisor of 4836 and 975.
39
What is the highest common factor of 312 and 696?
24
Calculate the greatest common factor of 195 and 65.
65
What is the greatest common factor of 132 and 18?
6
Calculate the highest common factor of 12 and 1452.
12
What is the greatest common divisor of 76 and 646?
38
Calculate the greatest common factor of 1430 and 195.
65
What is the greatest common divisor of 25 and 15825?
25
What is the greatest common divisor of 7 and 89?
1
What is the highest common factor of 576 and 336?
48
Calculate the greatest common divisor of 777 and 333.
111
What is the highest common divisor of 736 and 276?
92
What is the greatest common divisor of 2685 and 30?
15
Calculate the greatest common factor of 41 and 369.
41
Calculate the highest common divisor of 20 and 130.
10
Calculate the greatest common divisor of 258 and 30.
6
What is the highest common factor of 534 and 3026?
178
Calculate the greatest common factor of 65 and 169.
13
What is the greatest common divisor of 26 and 19864?
26
Calculate the highest common divisor of 18 and 1458.
18
What is the highest common factor of 18 and 279?
9
What is the greatest common factor of 495 and 1881?
99
What is the highest common divisor of 165 and 15?
15
What is the highest common divisor of 4237 and 3568?
223
Calculate the greatest common factor of 1750 and 84.
14
What is the highest common divisor of 24 and 588?
12
Calculate the highest common divisor of 4 and 2764.
4
What is the highest common factor of 188 and 7802?
94
Calculate the highest common factor of 147 and 3724.
49
Calculate the highest common divisor of 784 and 16.
16
Calculate the highest common factor of 561 and 33.
33
What is the highest common factor of 48 and 114?
6
What is the greatest common divisor of 16 and 36?
4
Calculate the highest common factor of 30 and 21.
3
What is the greatest common divisor of 584 and 365?
73
Calculate the highest common divisor of 316 and 7426. | {
"pile_set_name": "DM Mathematics"
} |
ultiple of 292 and 24.
1752
What is the smallest common multiple of 384 and 192?
384
Calculate the common denominator of 46/567 and 31/7.
567
What is the lowest common multiple of 626 and 64?
20032
Calculate the common denominator of -16/153 and 17/13.
1989
Calculate the smallest common multiple of 180 and 320.
2880
Calculate the smallest common multiple of 486 and 33.
5346
Calculate the smallest common multiple of 660 and 60.
660
Calculate the smallest common multiple of 448 and 28.
448
What is the least common multiple of 59 and 2006?
2006
What is the least common multiple of 38 and 8?
152
Calculate the common denominator of -151/60 and 34/23.
1380
Calculate the smallest common multiple of 121 and 363.
363
What is the common denominator of -49/96 and -181/60?
480
Calculate the smallest common multiple of 126 and 15.
630
What is the smallest common multiple of 4154 and 20?
41540
Calculate the smallest common multiple of 5593 and 7990.
55930
Calculate the common denominator of 37/392 and -9/112.
784
Calculate the smallest common multiple of 16 and 38.
304
Calculate the least common multiple of 10 and 321.
3210
Calculate the lowest common multiple of 128 and 13.
1664
What is the common denominator of 47/6264 and 149/174?
6264
What is the common denominator of 37/175 and 59/250?
1750
What is the common denominator of -51/20 and 77/640?
640
What is the smallest common multiple of 216 and 32?
864
What is the common denominator of -119/36 and 121/10?
180
Calculate the common denominator of 149/102 and -1/62.
3162
What is the lowest common multiple of 85 and 55?
935
Calculate the lowest common multiple of 46 and 276.
276
Find the common denominator of 73/144 and -41/72.
144
What is the smallest common multiple of 130 and 1015?
26390
Calculate the common denominator of 59/810 and 157/90.
810
What is the least common multiple of 8 and 224?
224
Find the common denominator of -59/80 and -79/60.
240
Calculate the smallest common multiple of 34 and 176.
2992
Calculate the least common multiple of 8 and 154.
616
Calculate the common denominator of 58/745 and -23/50.
7450
What is the least common multiple of 330 and 3?
330
What is the common denominator of 93/2 and -5/138?
138
What is the common denominator of 62/135 and -97/9234?
46170
Calculate the least common multiple of 13769 and 5.
68845
What is the lowest common multiple of 4 and 946?
1892
What is the common denominator of 7/99 and 56/45?
495
Calculate the common denominator of -89/252 and 181/420.
1260
Calculate the lowest common multiple of 4 and 2155.
8620
Calculate the least common multiple of 1380 and 828.
4140
Calculate the smallest common multiple of 6 and 138.
138
What is the common denominator of -3/1324 and -61/12?
3972
What is the lowest common multiple of 614 and 6?
1842
Calculate the lowest common multiple of 11 and 183.
2013
What is the least common multiple of 715 and 150?
21450
Calculate the smallest common multiple of 312 and 1350.
70200
Find the common denominator of 63/515 and -34/4635.
4635
Calculate the smallest common multiple of 44 and 88.
88
What is the common denominator of 97/12 and -10/21?
84
What is the common denominator of 31/200 and 131/120?
600
What is the least common multiple of 866 and 20?
8660
What is the least common multiple of 112 and 140?
560
Calculate the smallest common multiple of 560 and 42.
1680
Calculate the common denominator of 113/24 and 95/276.
552
What is the smallest common multiple of 530 and 742?
3710
Find the common denominator of -28/45 and -22/677.
30465
Calculate the common denominator of 51/44 and -127/630.
13860
Calculate the common denominator of -15/1138 and -9/8.
4552
Calculate the lowest common multiple of 248 and 310.
1240
Find the common denominator of 33/26 and -44/13.
26
What is the lowest common multiple of 150 and 177?
8850
What is the common denominator of -89/216 and 76/81?
648
Calculate the common denominator of -103/360 and -49/432.
2160
Calculate the common denominator of 49/4528 and -9/8.
4528
What is the least common multiple of 184 and 15?
2760
What is the smallest common multiple of 232 and 377?
3016
Find the common denominator of -91/282 and -95/732.
34404
Calculate the common denominator of -38/329 and -45/8.
2632
What is the smallest common multiple of 16 and 8?
16
Calculate the least common multiple of 910 and 1690.
11830
What is the common denominator of -89/1080 and -9/272?
36720
Calculate the common denominator of -67/10 and -101/20.
20
What is the common denominator of -133/6 and -13/474?
474
What is the smallest common multiple of 15 and 18?
90
What is the common denominator of -97/594 and -127/108?
1188
Calculate the lowest common multiple of 1526 and 6.
4578
What is the smallest common multiple of 15 and 108?
540
Calculate the common denominator of 36/803 and -51/511.
5621
Find the common denominator of 62/345 and -119/30.
690
What is the common denominator of 55/1982 and 11/18?
17838
What is the common denominator of 9/205 and 82/15?
615
Find the common denominator of 1/416 and 83/832.
832
Calculate the least common multiple of 3410 and 121.
37510
Calculate the common denominator of -71/132 and 1/456.
5016
What is the lowest common multiple of 24 and 1293?
10344
Calculate the common denominator of 13/20 and -107/52.
260
What is the common denominator of 77/90 and 11/68?
3060
Find the common denominator of 83/1014 and 49/5577.
11154
Find the common denominator of -17/16 and -29/6424.
12848
Calculate the common denominator of 28/495 and 67/220.
1980
What is the common denominator of 137/1650 and -31/2?
1650
What is the common denominator of 99/4 and 35/38?
76
Calculate the lowest common multiple of 42 and 28.
84
What is the common denominator of -117/10 and 53/384?
1920
What is the common denominator of 53/28 and -47/35?
140
Calculate the least common multiple of 32 and 160.
160
What is the lowest common multiple of 704 and 13?
9152
What is the least common multiple of 57 and 228?
228
Calculate the smallest common multiple of 154 and 1628.
11396
Calculate the common denominator of -69/40 and 47/634.
12680
What is the common denominator of 77/69 and -41/2001?
2001
Calculate the least common multiple of 18 and 825.
4950
Find the common denominator of 71/104 and -79/117.
936
Find the common denominator of 68/99 and -26/69.
2277
Find the common denominator of -151/84 and 34/9.
252
Calculate the lowest common multiple of 20 and 6484.
32420
Calculate the lowest common multiple of 26 and 143.
286
Find the common denominator of 91/328 and 31/56.
2296
Calculate the common denominator of 8/165 and 8/3.
165
Find the common denominator of -79/24 and -37/147.
1176
What is the lowest common multiple of 63 and 7?
63
What is the least common multiple of 64 and 1016?
8128
What is the smallest common multiple of 22 and 808?
8888
What is the common denominator of 73/420 and -11/54?
3780
Calculate the common denominator of -71/9 and -71/4704.
14112
Calculate the smallest common multiple of 54 and 12.
108
Calculate the common denominator of -19/36 and -139/144.
144
Find the common denominator of -20/2261 and -26/5.
11305
What is the smallest common multiple of 378 and 378?
378
What is the least common multiple of 206 and 2266?
2266
Calculate the common denominator of -74/21 and 127/1086.
7602
Calculate the common denominator of 121/1710 and 151/36.
3420
What is the smallest common multiple of 5722 and 6?
17166
What is the common denominator of -18/77 and -73/66?
462
Calculate the least common multiple of 30 and 710.
2130
Calculate the common denominator of -51/304 and -93/80.
1520
What is the smallest common multiple of 48 and 122?
2928
Calculate the common denominator of -41/24 and -5/36.
72
What is the common denominator of -29/780 and -79/390?
780
What is the least common multiple of 6 and 154?
462
Find the common denominator of -31/680 and 47/20.
680
What is the smallest common multiple of 544 and 340?
2720
Calculate the lowest common multiple of 44 and 10835.
43340
Calculate the common denominator of 61/10 and 71/10.
10
What is the common denominator of -17/658 and 39/94?
658
Calculate the common denominator of 109/450 and -53/250.
2250
Calculate the lowest common multiple of 2050 and 1640.
8200
Calculate the common denomin | {
"pile_set_name": "DM Mathematics"
} |
is greater: 67/7 or v?
v
Let p(n) be the second derivative of n**5/20 - n**4/4 - 3*n**3/2 - n**2 + 5*n. Let j be p(4). Let x be -19*1 - (5 - 3). Which is greater: j or x?
x
Let g = -9880 + 9879. Is -3420 at most g?
True
Suppose -22*f + 17*f = -3*q + 1033, -1412 = -4*q - 2*f. Which is smaller: 2/5 or q?
2/5
Let f be (-11 + -52)/(-9) + -3. Let b = 7.222 + -0.022. Let v = -7 + b. Which is smaller: f or v?
v
Let o = -115517/198 - -817/99. Is o > -574?
False
Let a(s) = 2*s**2 - 8*s - 11. Let w be a(5). Let p be 54971/(-588) + 2/(-8). Let k = p + 278/3. Does k = w?
False
Suppose -3*a = 6*m - 4*m - 1727, 2*m - 4*a = 1706. Let o = 915 - m. Which is bigger: 59 or o?
59
Let f(a) = -a**3 + 2*a**2 - 7*a + 32. Let p be f(3). Suppose -5*r + p*n - 7 = 0, -2*r - 4*n + 1 = -n. Is -15/38 != r?
True
Suppose 2*w = 6*w - 8. Let m = 78285 - 78275. Which is smaller: w or m?
w
Let s = 9120 + -191521/21. Does s = -0.334?
False
Let z = -12 + 0. Let b(i) = -2*i**3 - 19*i**2 + 120*i + 1100. Let n be b(-10). Which is smaller: z or n?
z
Let u(k) = 2*k**2 + 132*k - 257. Let o be u(-58). Which is greater: -1186 or o?
o
Let u(f) = -8*f + 278. Suppose 3*g + 2*x - 54 = 0, 19*x - 18*x = -4*g + 72. Let k be u(g). Is 135 greater than or equal to k?
True
Suppose 12*b - 146*b - 850 = 36*b. Suppose 4*s + s = -5*f + 45, 2*f - 5*s - 25 = 0. Let t be ((-8)/f)/((-3)/(-15)). Do t and b have the same value?
False
Let g = 3.81 - -0.19. Let w = -1.31 - 7.99. Let b = w - -0.3. Which is smaller: g or b?
b
Let z(p) = -p**3 - 13*p**2 - 22*p + 39. Let h be z(-13). Suppose -5*v = -4*r - 777, h = -2*r - 5*v - 86. Is -198 not equal to r?
False
Let q = 462532/3 - 152340. Is 1837 greater than or equal to q?
False
Suppose 2*o - 28 = -4*k, 2*o - 30 = -o - 3*k. Suppose 0 = o*y - 4*y - 68. Suppose u + 3*u - y = -2*n, n + 53 = 5*u. Is -1 at most u?
True
Let r = -5673 - 9342. Is 1/2 at most as big as r?
False
Let k = 3.052 - 4.03. Let r = 0.022 - k. Is r <= -266?
False
Let a = 2392 - 2341. Is a at least as big as 38?
True
Suppose -2*g = -g + x - 2, -2*g - 11 = 5*x. Suppose r = o - g, r = 4*o - r - 32. Let p = -51820/9 - -5758. Which is smaller: p or o?
p
Let v = 1333 + -1331. Suppose -4*p + 45 = -3*p. Which is smaller: p or v?
v
Let c = -73.22 - -0.22. Let s = -88 + c. Which is bigger: 0.1 or s?
0.1
Suppose 34*u + 14*u + 68*u = 0. Does u = 1/4741?
False
Let j = -1028 - -1034. Which is smaller: j or -277?
-277
Let v = 4600.621 + 14.379. Is v > -1/3?
True
Let d = -41976 - -41976. Let m = 175919329/157739760 - -6/219083. Let h = m + -1/240. Which is greater: h or d?
h
Let r = 5952 - 5247. Which is bigger: 704 or r?
r
Suppose -2*l - 3*a = 25, 7*l - 10*l - 39 = 3*a. Let q be 4/8*1316/l. Which is smaller: q or 4?
q
Let k = 45.04 + -30.04. Is -2 bigger than k?
False
Suppose 21*n - 3850 = 392. Let t = 159 - n. Is t at most -43?
True
Let k = -4001960/1059 - -3779. Let t = -5222 + 5221. Is t less than or equal to k?
True
Suppose 517*j = 514*j + u + 3974, -1320 = -j - 2*u. Which is greater: 1323 or j?
j
Let i be 3 - 1 - 43 - 1. Suppose -7*w + 4*w + o + 245 = 0, 5*o - 5 = 0. Suppose -4*t + w = -2*h, -164 = 3*h + h + 4*t. Which is smaller: i or h?
i
Let u = -2431 + 2432. Which is smaller: u or 2/985?
2/985
Suppose n + 72 = -7*n. Let o be (54/n)/(-3 - 87/(-28)). Is -56 at least as big as o?
True
Let i(m) = 24*m + 223. Let t be i(-6). Let x be -2 - (381/(-3))/(t + -8). Do -1 and x have the same value?
False
Suppose 3*d = -4*g - 1568, 0 = -86*d + 83*d + 5*g - 1496. Is d less than -4604/9?
True
Let p be -2 + 2 - 19/(-1). Let r be 99*5*55/25. Let y = r + -1071. Is p at most y?
False
Suppose 5*l - 37 = -4*t, -5*l + 64 - 9 = -5*t. Suppose -l*b - 66 = -3*b. Let w be 31/b + -1 + 4. Which is smaller: w or 2?
w
Let o = -976.5 - -976. Let d(v) = -v**2 - 6*v - 7. Let y be d(-7). Let r = 23 + y. Which is smaller: o or r?
o
Let o be (-2)/1 - (-2 - -33). Let x(z) = 6*z**2 + 1. Let k(u) = -17*u**2 - 29*u - 331. Let y(t) = k(t) + 3*x(t). Let h be y(37). Is o greater than h?
False
Let j(w) = 10*w + 8*w + 11*w - 3 - 25*w + 3*w**2 - w. Let c(u) = -u + 5. Let a be c(4). Let t be j(a). Which is smaller: 16/5 or t?
t
Let s be (58/(-87))/((-2)/(-1764)). Which is greater: s or -585?
-585
Let x be (-85)/(-51)*9/15. Let u = -39 - -29. Let r be 4/u*30/99. Is x equal to r?
False
Let s = 48.9 - 43.7. Which is bigger: -0.07 or s?
s
Let d = 4151 + -4186. Let p(g) = -g**2 + 10*g + 3. Let t be p(13). Which is smaller: t or d?
t
Let i = 2471.8 + -2278. Which is bigger: 0.4 or i?
i
Suppose 0 = 4*y + 24*d + 1136, 3*y = -5*d - 40 - 851. Which is smaller: y or -292?
y
Let v(z) = -z**2 - 8*z - 4. Let i be v(-5). Let r be (-34)/85 + 34/10. Suppose x = r*x - 18. Which is greater: x or i?
i
Suppose h - 5*h = -5*u + 4, -4*h = 4*u + 40. Which is greater: h or -189/26?
h
Let o = -2/13921 + 13927/41763. Which is greater: o or -5274?
o
Let l(o) = o**2 + 7*o - 6. Let g be l(-9). Let q be -36*1/(g - -2). Suppose -14 = m - 4*z, 3*z + 4 - 7 = -3*m. Which is smaller: m or q?
q
Suppose -5*h - 3*i + 70 = -8*i, -5*h + 34 = i. Is 0 less than or equal to h?
True
Let i(p) = p**2 - 19*p - 10. Let g be i(6). Let z = 5.3 - 6.3. Is g equal to z?
False
Let n be 168/184 + (-8)/(-92). Let f = -11 + 10. Let d be (f - 27/(-15)) + 0. Which is bigger: n or d?
n
Suppose -2*q = 0, 0 = -4*z - q - q + 1104. Suppose -4*m + m = -z. Do 90 and m have different values?
True
Let x = -1211.1 - 486.9. Which is smaller: x or 0?
x
Suppose -4*t + 3*r = -1174, -r = 1385*t - 1386*t + 294. Is 316 <= t?
False
Let x be (0 - 0) + (-4 - (-506)/110). Let w = -0.28 - 0.42. Which is smaller: x or w?
w
Let a be ((-153)/16)/(41/738). Which is bigger: -171 or a?
-171
Suppose -h + 5*h = h. Let r(y) = y**2 + 5*y + 19. Let w be r(h). Suppose 4*a - 24 + 10 = 2*p, -p - 2*a - w = 0. Which is smaller: -15 or p?
-15
Let r be ((-3)/2)/(2 + (-15)/6). Suppose r*z = -5*a + 213 + 247, 0 = 2*z + 4*a - 308. Is 149 <= z?
True
Let r(p) = p + 14. Let z be r(-11). Suppose b - 5*c - 2 = 24, -2*b - z = c. Let o be 0*b/(-1 - -3). Which is smaller: -3/73 or o?
-3/73
Let w be 4184/(-262) + (1447 - 1431). Let c be (-1 - -2 - 1)/2. Which is smaller: w or c?
c
Let r = 3.61 - 0.91. Let u = 15.3 - r. Let x = u + -2.6. Are x and -1 unequal?
True
Let u = 207.9 - 34.9. Let t = 91 - u. Let y = t + 79. Is y bigger than 1/9?
False
Suppose -2*v = 5*b + 17, 22*b + 4*v = 20*b + 6. Do b and -201/53 have the same value?
False
Let y = 0 + 0. Let r be 1 - 18/135*489/11. Let s = 26/5 + r. Which is smaller: y or s?
y
Let q = 522 + -1226. Let w = 2110/3 + q. Is 176 bigger than w?
True
Suppose -294*r + 208*r - 86 = 0. Do -20/73 and r have different values?
True
Let z = 2693 + -2040. Which is smaller: 651 or z?
651
Let q = -4839 - -5650. Is q >= 812?
False
Let o = -1976 - -1978. Let f be ((-825)/(-273))/((-2)/(-2)). Let m = f - 30/13. Is m at most as big as o?
True
Suppose 3*b + 152 = -190. Let v be (35/(-2))/(-7)*b/(-5). Let l = v + -56. Which is greater: -5/12 or l?
l
Let u(h) = -h - 6. Let v be u(-5). Let g = -41246/13 + 948671/299. Which is bigger: v or g?
g
Suppose 13*a = 1233 + 2706. Do 303 and a have different values?
False
Let x(f) be the third derivative of 3*f**4/8 + 41*f**2 + f. Let v be x(-12). Which is smaller: -107 or v?
v
Let t = -0.27 + -0.08. Let x = 321422.97 + -321423. Do t and x have the same value?
False
Suppose -7*k + 23889 - 4380 = 0. Let g = k - 1881. Let m be (9/(-12))/(g/(-16)). Which is smaller: -1 or m?
-1
Suppose -14 = m + 4*n, -9*m = -6*m - 2*n. Let q be (44/55)/(m*(-1)/(-10)). Is -7 not equal to q?
True
Let a be (5 - 1)*98/7. Let o = a - 69. Is o equal to 4?
False
Suppose -127 - 35 = 3*p. Let v = -40 - p. Let z be (-26)/143 - (-2)/((-88)/v). Is 0.9 at most as big as z?
False
Let m(n) = 2*n**3 + 138*n**2 - 141*n - 72. Let a be m(-70). Which is bigger: -151.8 or a?
a
Let b be (-3)/141756*-2*4. Which is greater: 0 or b?
b
Let x(b) = 30*b + 734*b**2 - 9*b + 4*b - 733*b**2 - 1. Let p be x(-25). Which is smaller: p or -4/133?
p
Let t be 3764090/209*2/5. Is 7204 bigger than t?
False
Let k be ((-16)/(-8))/((-2)/(-5)). Let o(r) = 20*r + 5. Let i be o(k). Is 105 > i?
False
Let i be (-386)/16 + 56/448 + 9. Is -185 bigger than i?
False
Let l be ((-2)/(-7432568))/((119/41907446)/17). Let h = l - 2001/1898. Let b = -1/89 + h. Is b greater t | {
"pile_set_name": "DM Mathematics"
} |
. What is the remainder when u is divided by l?
5
Let o(c) = -23*c - 20. Let u be o(-5). Let z = -47 + u. Calculate the remainder when z is divided by 14.
6
Suppose 8*s - 590 = 3*s. What is the remainder when s is divided by (-267)/(-9) - 2/(-6)?
28
Calculate the remainder when 196 is divided by 896/50 + (-72)/(-900).
16
Let u(l) = 2*l**2 - 3*l - 4. Suppose 0 = 2*t - 4. Suppose -p - d = -2*p + 7, -t*d - 22 = -4*p. What is the remainder when 29 is divided by u(p)?
13
Suppose -3*k - 4*u = -336, k - 111 = -0*k - u. Calculate the remainder when k is divided by -1 + 2 + 6 + 31.
32
Let k(l) = l**3 + 11*l**2 + l + 26. Suppose -4*m - 64 = 4*j, -j - j - 5*m - 47 = 0. What is the remainder when 58 is divided by k(j)?
13
Suppose 35 = -6*o - o. Let m be -87 + o - (-1 + 1). Let c = -37 - m. Calculate the remainder when c is divided by 14.
13
Let z = -8 + 11. Suppose 78 = -45*o + 213. What is the remainder when o is divided by z?
0
Suppose 3*o + 3*t - 126 = 0, 3*t + 9 = -0*t. What is the remainder when 224 is divided by o?
44
Calculate the remainder when (-22)/(-77) - 278/(-7) is divided by 17.
6
Let y = 1033 + -1029. What is the remainder when 6 is divided by y?
2
Let u be (2497/22)/(2/4). Suppose 4 = 3*j - 5*j, -5*k + u = -j. Suppose -k = -8*s + 3*s. What is the remainder when 15 is divided by s?
6
Let u be (6/5)/(6/80). Suppose -4*g + 4*q + u = q, -3*q - 20 = -5*g. What is the remainder when g is divided by 1?
0
Suppose 4*w - 6 - 10 = 0. Suppose w*r - 74 + 14 = 0. What is the remainder when 29 is divided by r?
14
Let c = 60 + 25. Suppose 8*p - 3*p = c. What is the remainder when p is divided by 5?
2
Suppose -5*o = 2*a - 20, -5*a + 2*o + 35 - 14 = 0. Suppose 14 = 3*r + a. Suppose -r*i = 2*i - 30. What is the remainder when 11 is divided by i?
5
Calculate the remainder when (-261)/((-153)/171 + (-2)/19) is divided by 75.
36
Suppose -6*u = -3*u - 255. Suppose 0 = -3*l + u - 4. Suppose 3*o + 2*y + 14 = 50, o - 3*y = 23. Calculate the remainder when l is divided by o.
13
Let v(r) = r**3 + 5*r**2 - 49*r - 214. What is the remainder when 141 is divided by v(-6)?
9
Suppose -269*a + 272*a - 354 = 0. What is the remainder when a is divided by 20?
18
Let f = -37 + 25. Let b = 13 + f. Suppose r - 5 = -b. Calculate the remainder when 5 is divided by r.
1
Let s = -225 - -242. What is the remainder when 186 is divided by s?
16
Let y = -376 - -411. Calculate the remainder when y is divided by 12.
11
What is the remainder when 84 is divided by ((-8)/(24/159) + 6)/(-1)?
37
Suppose -7*m + 542 = 437. Suppose -4*z - 5*b = -92, 0 = -2*b - 3*b. Calculate the remainder when z is divided by m.
8
Suppose -y + 3 = 2. Let u = 14 + y. Let v = -23 - -81. Calculate the remainder when v is divided by u.
13
Let d be 36 + (-2 - -1) + 1. Let u = 96 + -52. What is the remainder when u is divided by 20/6*d/10?
8
Let p = 262 - 255. What is the remainder when p is divided by 6?
1
Suppose -4*x = 4*r - 124, 3*r + 3*x - 93 = -x. Let u = -26 + r. Suppose 0 = u*i - 2*m - 52, -2*i + 4*m = -20 - 4. What is the remainder when 27 is divided by i?
7
Suppose 41*s = 34*s + 462. Calculate the remainder when 522 is divided by s.
60
Let z be 3/36*9*-28. What is the remainder when (0 - -69)*(-14)/z is divided by 6?
4
Let v = 19 - 13. What is the remainder when (44/(-5))/((-68)/170) is divided by v?
4
Let p(k) = -k + 8. Suppose -6*s = -3*s - 12. What is the remainder when p(0) is divided by s?
0
Let v(h) = -20*h**3 + 3*h**2 - h + 5. What is the remainder when v(-2) is divided by 61?
57
Suppose 0 = 280*c - 261*c - 1653. Calculate the remainder when c is divided by 52.
35
Let m = 21 + -3. Let a be (-40)/(-16)*6/5. Suppose a*w + 2*x - 40 = 52, -4*x = -5*w + 190. Calculate the remainder when w is divided by m.
16
Let w = -6 - -11. Suppose 0 = 4*c - 3*n - 27, 3*c + n - w = -1. Calculate the remainder when 71*c/3 - -2 is divided by 19.
16
Suppose -4*c + 0*c + 8 = 4*a, 5*c + 2*a = 13. Calculate the remainder when (c/6)/((0 + 2)/92) is divided by 10.
3
Let o(w) = -7*w - 14. Let v = -1 - 2. Calculate the remainder when 34 is divided by o(v).
6
Calculate the remainder when 123 is divided by (-1743)/(-70) - (-4)/40.
23
Let o = 8 + 3. Suppose -o*s = -14*s + 78. What is the remainder when s is divided by 14?
12
Let p be (-4)/(-1 - 7)*0 + 1. Suppose w - p = 13. Calculate the remainder when 122 is divided by w.
10
Calculate the remainder when (-1 - 4)*-1 - (-2 + -17) is divided by 12.
0
Let w(k) = -94*k - 92. What is the remainder when w(-4) is divided by 41?
38
Let s(a) = -2*a**3 - 12*a**2 + 18*a + 16. What is the remainder when s(-10) is divided by 64?
60
Let d(y) = -y**2 - 5*y + 10. What is the remainder when 20 is divided by d(-6)?
0
Suppose 545 = 5*r - 3*i, 3*r = 8*r + 3*i - 575. Let h = r - 45. What is the remainder when h is divided by 17?
16
Let c(m) = -m + 3. Let u(n) = 0*n**2 + 5*n + 9*n**3 + 6 + 6*n**2 - 8*n**3. Calculate the remainder when c(-8) is divided by u(-5).
5
Suppose -5*x = 5, -13 = -4*a + 2*x + 25. What is the remainder when 3/(a/75)*1 is divided by 16?
9
Let h(a) = -4*a**3 - 33*a**2 + 18*a + 1. Calculate the remainder when h(-9) is divided by 32.
18
Let t = -40 + 71. Let s = t - 20. What is the remainder when 21 is divided by s?
10
Let a be 5*(1/(-1) + 21/15). Suppose -1 = -a*b + 3, 3*b = u - 27. What is the remainder when 64 is divided by u?
31
Suppose 5*b - 80 = 4*x - 401, -2*b - 380 = -5*x. What is the remainder when 188 is divided by x?
40
Suppose 220 = 5*q - 85. Suppose -o = -0*o - 16. What is the remainder when q is divided by o?
13
Let g(k) = k**2 + k - 8. Let m be g(0). Let v be 5*-4*2/m. Let c(l) = -l**3 + 5*l**2 + 3*l + 1. Calculate the remainder when 45 is divided by c(v).
13
What is the remainder when 2001 is divided by 112/36*279/62?
13
Let w(b) = -b**2 - 12*b + 9. Let j be w(-7). Suppose -22*d = -18*d - j. What is the remainder when 31 is divided by d?
9
Suppose -10 = 5*w - 3*c + 5, -c = -4*w - 12. Calculate the remainder when (w + (-36)/(-8))*4 is divided by ((-4)/(-14))/((-4)/(-56)).
2
Let c = 354 - 248. Let t(w) = 566*w - 3908. What is the remainder when c is divided by t(7)?
52
Suppose -z - 5 = 4*z, 2*z = u + 17. Let v(a) = -5*a - 28. What is the remainder when v(u) is divided by 17?
16
Let a(w) = -2*w - 10. Let p be a(5). Let h be 2/9 + p/9. Calculate the remainder when 5/((-3)/84*h) is divided by 18.
16
Suppose -a - 4*a = -4*t - 100, -2*t + 58 = 2*a. Suppose 0 = 2*p + 4*k - 210, -4*p - 6*k + 3*k = -395. Calculate the remainder when p is divided by a.
23
Suppose -57 = -2*i + i. Let c = -10 - 1. Let f(w) = -w**3 - 11*w**2 - 2*w - 7. What is the remainder when i is divided by f(c)?
12
Let t be -2 - (-11)/2 - (-6)/(-12). Let z(r) = -r + 6*r**3 - 4*r**3 - 1 - 3*r**2 + r**2 + 3. Calculate the remainder when z(t) is divided by 9.
8
Suppose 2*w = -5*x + 34, w - 10 = -2*x + 7. Let p be 212/6 + (-2)/(-3). Calculate the remainder when w is divided by p/(-9)*(-18)/8.
8
Let m(t) = 6*t**3 - t**2 + t. Let r be m(1). Let k be 15/r*(-4)/(-5). Suppose -2 = k*a + n - 7, 15 = -a - 4*n. Calculate the remainder when 14 is divided by a.
4
Let u(s) = s**2 + 10*s - 19. Let l be u(-13). Suppose -i = -l + 7. What is the remainder when 17/(14/6 - 2) is divided by i?
12
Let z(t) = -t**3 + 2*t**2 + 3. Let s be z(3). Let b = s + 9. Calculate the remainder when 41 is divided by 21 - (b + -4*1).
19
What is the remainder when 2*10*(-185)/(-20) is divided by 21?
17
Suppose 20 = 2*q + n, -2*q + 3*n = -38 + 26. Let d(m) = -m**2 + 18*m**2 - m + 2*m. What is the remainder when d(-1) is divided by q?
7
Let x be (-15)/(-4) - (-5)/20. Suppose -x + 6 = o. Suppose d = b - 7, -2*b - 2*d = 4 - 2. What is the remainder when b is divided by o?
1
Let u be (10/7)/((-2)/(-14)). Suppose -a + 4 = -u. What is the remainder when 1*(28 + (-15)/5) is divided by a?
11
Suppose 0 = 27*m + 24*m - 13413. Calculate the remainder when m is divided by 93.
77
Let o(q) = 5*q**2 - 12*q + 30. Let x(k) = k**2 + k. Let l(y) = -o(y) + 6*x(y). What is the remainder when 23 is divided by l(-20)?
3
Let n(h) = -10*h**2 - h + 1. Let t be n(-2). Let s = -19 - t. What is the remainder when 69 is divided by s?
15
Let x = 10 + -5. What is the remainder when (-63)/(-3) - ((-52)/(-4) - 6) is divided by x?
4
Suppose -68*l = -5*f - 71*l + 692, 0 = 2*f - 2*l - | {
"pile_set_name": "DM Mathematics"
} |
2?
2
What is the greatest common factor of 323 and 17?
17
Calculate the highest common divisor of 108 and 180.
36
Calculate the highest common factor of 1701 and 54.
27
Calculate the greatest common factor of 66 and 1419.
33
Calculate the highest common divisor of 14352 and 144.
48
What is the highest common factor of 1897 and 7?
7
What is the greatest common divisor of 250 and 1125?
125
Calculate the greatest common divisor of 128 and 8.
8
Calculate the highest common factor of 785 and 314.
157
What is the highest common divisor of 481 and 37?
37
Calculate the highest common factor of 8 and 2564.
4
Calculate the greatest common factor of 1 and 89.
1
Calculate the highest common factor of 245 and 140.
35
What is the highest common factor of 28 and 2870?
14
Calculate the highest common factor of 124 and 434.
62
What is the greatest common divisor of 625 and 25?
25
What is the highest common factor of 46 and 1081?
23
Calculate the greatest common factor of 286 and 836.
22
Calculate the greatest common divisor of 12 and 4476.
12
Calculate the greatest common divisor of 23984 and 32.
16
What is the greatest common factor of 570 and 18?
6
Calculate the greatest common factor of 153 and 34.
17
Calculate the greatest common factor of 9354 and 6.
6
What is the highest common factor of 3611 and 207?
23
Calculate the greatest common divisor of 403 and 1023.
31
What is the greatest common factor of 88 and 56?
8
Calculate the greatest common divisor of 11 and 649.
11
Calculate the highest common factor of 3465 and 175.
35
Calculate the greatest common factor of 129 and 59727.
129
What is the greatest common divisor of 3 and 141?
3
What is the greatest common divisor of 5508 and 68?
68
What is the highest common divisor of 1849 and 989?
43
Calculate the highest common divisor of 4 and 46.
2
What is the highest common divisor of 189 and 651?
21
What is the greatest common divisor of 385 and 33?
11
Calculate the greatest common divisor of 14 and 164.
2
What is the highest common divisor of 11269 and 118?
59
Calculate the highest common divisor of 11 and 11.
11
Calculate the highest common divisor of 297 and 36.
9
Calculate the highest common divisor of 620 and 1085.
155
Calculate the highest common factor of 654 and 54.
6
Calculate the highest common factor of 180 and 75.
15
What is the greatest common factor of 572 and 154?
22
Calculate the highest common factor of 2125 and 2375.
125
Calculate the highest common factor of 147 and 35.
7
Calculate the highest common factor of 180 and 42.
6
What is the highest common divisor of 816 and 48?
48
What is the greatest common divisor of 9 and 63?
9
What is the highest common factor of 63 and 105?
21
Calculate the greatest common divisor of 43520 and 170.
170
Calculate the greatest common factor of 25 and 2425.
25
What is the greatest common divisor of 7284 and 48?
12
Calculate the greatest common divisor of 18 and 2691.
9
What is the greatest common divisor of 43 and 3?
1
What is the greatest common factor of 1144 and 7592?
104
Calculate the greatest common factor of 208 and 754.
26
Calculate the highest common divisor of 112 and 3024.
112
Calculate the greatest common factor of 35 and 266.
7
Calculate the highest common divisor of 46 and 368.
46
What is the greatest common divisor of 1615 and 95?
95
Calculate the greatest common divisor of 37 and 592.
37
What is the greatest common divisor of 3 and 81?
3
What is the highest common divisor of 2150 and 50?
50
What is the highest common factor of 48 and 138?
6
What is the highest common divisor of 24871 and 418?
209
Calculate the greatest common factor of 190 and 23085.
95
What is the highest common divisor of 472 and 40?
8
What is the highest common factor of 16 and 8?
8
Calculate the highest common factor of 14 and 413.
7
Calculate the greatest common factor of 533 and 205.
41
What is the greatest common divisor of 2485 and 35?
35
What is the greatest common factor of 12228 and 12?
12
What is the highest common factor of 2825 and 25?
25
What is the greatest common factor of 33 and 319?
11
What is the highest common divisor of 48 and 708?
12
What is the greatest common factor of 35 and 1345?
5
Calculate the greatest common divisor of 15 and 21.
3
What is the greatest common factor of 261 and 319?
29
Calculate the highest common divisor of 901 and 2597.
53
Calculate the greatest common divisor of 51 and 918.
51
Calculate the greatest common factor of 230 and 10.
10
Calculate the highest common divisor of 832 and 104.
104
Calculate the highest common divisor of 531 and 7788.
177
What is the greatest common divisor of 108 and 11502?
54
Calculate the greatest common divisor of 160 and 15.
5
Calculate the highest common divisor of 30 and 1140.
30
What is the highest common divisor of 16 and 44?
4
Calculate the greatest common factor of 1581 and 51.
51
Calculate the greatest common factor of 7627 and 290.
29
Calculate the greatest common factor of 16 and 176.
16
What is the highest common divisor of 5289 and 492?
123
What is the highest common divisor of 272 and 2584?
136
Calculate the highest common factor of 276 and 84.
12
What is the highest common factor of 3087 and 63?
63
What is the highest common factor of 9 and 3?
3
Calculate the highest common divisor of 50 and 575.
25
Calculate the highest common divisor of 68 and 595.
17
Calculate the greatest common factor of 1325 and 12455.
265
Calculate the highest common divisor of 8710 and 90.
10
What is the greatest common divisor of 512 and 640?
128
What is the greatest common factor of 3680 and 32?
32
Calculate the highest common factor of 1197 and 36.
9
What is the highest common factor of 517 and 22?
11
What is the highest common divisor of 69 and 1035?
69
What is the greatest common factor of 153 and 24?
3
What is the greatest common factor of 160 and 10?
10
What is the greatest common divisor of 92 and 2484?
92
Calculate the highest common divisor of 976 and 2256.
16
What is the greatest common divisor of 39 and 221?
13
Calculate the greatest common factor of 54 and 189.
27
What is the greatest common factor of 287 and 533?
41
What is the greatest common factor of 4056 and 169?
169
Calculate the highest common divisor of 2744 and 7.
7
Calculate the greatest common divisor of 625 and 400.
25
Calculate the greatest common factor of 56 and 504.
56
What is the greatest common divisor of 69 and 102?
3
Calculate the highest common divisor of 6 and 96.
6
What is the greatest common divisor of 2465 and 2720?
85
Calculate the greatest common divisor of 56 and 140.
28
What is the greatest common factor of 9 and 27?
9
What is the greatest common factor of 48 and 312?
24
What is the greatest common divisor of 63 and 1596?
21
Calculate the greatest common factor of 240 and 1032.
24
Calculate the highest common divisor of 50 and 275.
25
What is the greatest common factor of 24 and 36?
12
Calculate the greatest common factor of 9 and 126.
9
Calculate the greatest common divisor of 209 and 55.
11
What is the greatest common factor of 90 and 200?
10
What is the highest common factor of 50 and 90?
10
What is the greatest common divisor of 50 and 1550?
50
What is the greatest common divisor of 10 and 745?
5
What is the greatest common divisor of 273 and 663?
39
Calculate the greatest common factor of 72 and 378.
18
Calculate the greatest common factor of 19726 and 14.
14
What is the greatest common factor of 1034 and 253?
11
Calculate the greatest common divisor of 207 and 1173.
69
Calculate the greatest common divisor of 2896 and 80.
16
Calculate the highest common divisor of 12901 and 97.
97
What is the highest common divisor of 282 and 8601?
141
Calculate the greatest common factor of 21190 and 65.
65
Calculate the greatest common divisor of 4520 and 104.
8
What is the highest common divisor of 20850 and 10?
10
Calculate the highest common factor of 344 and 8.
8
Calculate the greatest common divisor of 25 and 475.
25
Calculate the highest common factor of 10 and 1790.
10
Calculate the greatest common factor of 15 and 15.
15
What is the highest common divisor of 60 and 10980?
60
Calculate the highest common factor of 630 and 180.
90
Calculate the highest common divisor of 4017 and 39.
39
What is the highest common divisor of 315 | {
"pile_set_name": "DM Mathematics"
} |
pose 2*l = 3*i + 3 - 15, 8 = 2*i - 5*l. Let t be 6 - (-1 + i - 1). List the prime factors of 52/t + -2 + 0.
11
Let v = -6 - -10. Suppose -v*s + 35 = s. What are the prime factors of s?
7
Let f = -79 + 156. List the prime factors of f.
7, 11
Let a(t) = 2*t + 28. What are the prime factors of a(-9)?
2, 5
Let v = -37 + 97. Suppose v = -3*t - t. What are the prime factors of 1/(-2 + (-33)/t)?
5
Let i(a) be the second derivative of -7*a**3/3 - 6*a. List the prime factors of i(-1).
2, 7
Let o(b) = -b**3 + 5*b**2 + 8*b - 6. Let n be o(6). Let g(u) = -u**2 + 9*u - 6. What are the prime factors of g(n)?
2, 3
Let h(c) = 12*c**2 + 2*c + 4. Let z(q) = q**2 - 1. Let j(t) = h(t) + z(t). List the prime factors of j(-2).
3, 17
Let i = 92 + -66. List the prime factors of i.
2, 13
Let a(l) = -14*l - 3. List the prime factors of a(-6).
3
Let w = -48 - -70. What are the prime factors of w?
2, 11
Suppose 15 = -2*r + 127. What are the prime factors of r?
2, 7
Let y = -4 - -3. Suppose 0 = 5*s - 4*m - 22, -3 + 12 = -3*m. List the prime factors of s/3*(-9)/y.
2, 3
Suppose c = -2*g - c + 2, 22 = 4*g - 5*c. Suppose g*u - 33 = -h, h - 3*u - 39 = -h. What are the prime factors of h?
2, 3
Let j(s) be the first derivative of s**4/4 - 5*s**3/3 - s**2 - 3*s - 4. List the prime factors of j(6).
3, 7
What are the prime factors of ((-18)/15)/(1/(-10))?
2, 3
Let t(y) = -12*y - 1. Let a be t(-1). Let h = 17 - a. List the prime factors of h.
2, 3
Suppose 3*c = s - 36, 2*s + 2*c = -0*s + 48. Suppose -53 = -5*o + 2*z + s, -3*o + z + 48 = 0. What are the prime factors of o?
2
Suppose -5*d + 3*d = -x - 16, 62 = 5*d + 3*x. What are the prime factors of d?
2, 5
Let m(t) = 2*t - 9. Let z be m(7). Let o(k) = 2*k**2 - 6*k - 2. List the prime factors of o(z).
2, 3
Suppose 0 = -2*o + 11 - 1. Suppose 0 = -o*t + 190 - 50. What are the prime factors of t?
2, 7
Let s(i) = -2*i - 10. List the prime factors of s(-6).
2
Let w = 76 + -20. List the prime factors of w.
2, 7
List the prime factors of ((-2 - 184/(-12)) + 1)*3.
43
What are the prime factors of (-108)/(-15)*90/12?
2, 3
Let b(l) = -l + 3. Let m be b(3). Suppose -n - 4*h + 13 = -m*n, 5*n + 2*h = 83. List the prime factors of n.
17
What are the prime factors of 18/(-45) - (-282)/5?
2, 7
Let a = 19 + -38. Let f = -11 - a. List the prime factors of f.
2
Suppose c + 42 = -3*x, 2*x = -4*c - 3*x - 147. Let g be (-4)/22 - (-93)/c. List the prime factors of (-4 + 1)*g/1.
3
Suppose -t = -3*t + 4. Suppose 0*s = -t*v + 2*s + 22, -4*v + 12 = 4*s. List the prime factors of v.
7
List the prime factors of 7*20*(-102)/(-85).
2, 3, 7
Let b be 1/6 - 33/(-18). Suppose 0 = -b*h + 2, h = -2*u + 7 - 30. List the prime factors of (-201)/u + (-2)/(-8).
17
What are the prime factors of ((-3)/1 - -2) + 28?
3
Let s(z) = 3*z + 2. Let g be s(2). Suppose -5*y + 23 = g. Suppose 4*f - y*x - 32 = 0, f + 5*x = -1 + 9. List the prime factors of f.
2
Let d(x) = -x**3 + 7*x**2 + 3. Let r be d(7). Suppose 3*c = -j + 32, 5*j + 41 = 3*c - 15. Suppose 0 = r*u - 12 - c. What are the prime factors of u?
2
Suppose 0 = -2*z - 5*o + 104, 3*o + 2*o = 10. Let x be 101/(-3) - 4/(-6). Let p = x + z. List the prime factors of p.
2, 7
Suppose -5*r - 4 = -24. List the prime factors of 35/10*r/2.
7
Suppose 4*j - 26 = 6*j. Let y = 23 + j. List the prime factors of y.
2, 5
Suppose -3*z - 19 = -1. Let s = z - -8. Suppose 2*w - 3*q = -s + 1, -4*w + 8 = -4*q. List the prime factors of w.
7
What are the prime factors of 1*13*6/6?
13
Suppose 5*b + 18 - 3 = 0. Let z(m) = -9*m - 4. List the prime factors of z(b).
23
Let z(b) = b**2 - b - 3. Suppose -71 - 65 = -4*v. Suppose -v = q + 5*f - 11, 2*q - 14 = 5*f. List the prime factors of z(q).
3
Suppose 5*n = -10, n + 0*n - 61 = -3*b. Let m = b - 7. List the prime factors of m.
2, 7
Let w(h) = 3*h**2 - 3*h - 3. Let j be w(-2). Let z = -22 + 48. Let p = z - j. List the prime factors of p.
11
Suppose -15*m - 1014 = -2994. What are the prime factors of m?
2, 3, 11
Let s be 190/6 - (-7)/21. Let y = 50 - s. List the prime factors of y.
2, 3
Suppose 5*a = 6*a - 25. What are the prime factors of a?
5
Let y(x) = -4*x - 1. Let t be y(-1). Suppose t*b - 16 = 8. What are the prime factors of b?
2
Let w(b) = -17*b - 5. What are the prime factors of w(-4)?
3, 7
Suppose -5*n + 14 - 4 = 0. What are the prime factors of n?
2
Suppose 5*o - 70 = u, -6*o + 4*o + 46 = -4*u. Suppose a + 0*a - o = 0. Let v = a + -6. List the prime factors of v.
7
Suppose -z = -9 - 24. List the prime factors of z.
3, 11
Suppose -2*a - 12 = -6*a. Let i(p) = p**2 + 12 - 2*p + 0*p**2 + 3*p - p**a. What are the prime factors of i(0)?
2, 3
Suppose 0 = -5*v + 12 + 33. Let a = 49 - v. Let d = 56 - a. List the prime factors of d.
2
Suppose 6 = 4*h - h. Suppose h*f = -5*x + 22, f = -0*f - 4. What are the prime factors of (-28)/(-8) - (-3)/x?
2
Let q be ((-20)/3)/(2/6). Let v = -10 - q. List the prime factors of v.
2, 5
Suppose q + 4 + 5 = 0. Let p = q - -18. What are the prime factors of p?
3
Let m(n) = -7*n + 9 - 2*n**3 - n**3 + 4*n**3 - 5*n**2. Let s = -1 + 7. What are the prime factors of m(s)?
3
Let s = 6 - 15. Let r(g) = g**3 + 8*g**2 - 12*g + 2. What are the prime factors of r(s)?
29
Suppose -2*g - 10 = -o, -o + 4*g + 2 = -0. Let x = o - 13. List the prime factors of x.
5
Let l(a) be the third derivative of a**4/24 + 4*a**3/3 + 4*a**2. Let v be l(-6). Suppose -v*s + 24 = s. What are the prime factors of s?
2
List the prime factors of (-23)/(-4) - (-4)/16.
2, 3
Suppose -4*l + 166 = 2*z, -4*z - 163 = -4*l - 3. What are the prime factors of l?
41
Let l(j) = -j**3 + j**2 + j + 1. Let r(p) = 5*p**3 - 12*p**2 - p - 9. Let g(f) = 6*l(f) + r(f). List the prime factors of g(-7).
11
Let i be 3/(-2)*(-5 + -1). Let m be 1*i*(-13)/(-3). Suppose 4*y - 9 - m = 0. List the prime factors of y.
2, 3
Let x(g) = -6 + g**2 - 5 - 9*g - 2*g**2 + 1. List the prime factors of x(-7).
2
Suppose -2*x = t - 2, 5*t + 1 + 3 = 4*x. What are the prime factors of (-25 - -2)/(t + -1)?
23
Let d be (0 + 12/8)*(-8)/6. Let n = -20 - -4. List the prime factors of 0/(1 - d) - n.
2
Suppose 5*b + 41 = -34. Suppose 0*o + 2*p - 82 = -3*o, 5*o + 5*p = 145. Let f = b + o. What are the prime factors of f?
3
Let m be 1*3/(-1) + 72. What are the prime factors of m/(-12)*(-8)/2?
23
Suppose g = 5*b + 27, b + 4*b = 5*g - 35. Suppose 2*r = g + 22. Suppose z = 4*p - 14 + 40, r = -4*p. What are the prime factors of z?
2, 7
Let t be (25/(-10))/((-1)/(-14)). Let x = t + -9. Let b = -21 - x. What are the prime factors of b?
23
Let g(o) = -45*o**2 + o. Let s be g(1). Let p be 4/(-10) + s/(-10). Suppose -5*c + 1 = -3*n, 0 = -p*c + 8 + 12. What are the prime factors of n?
2
Suppose -6*x - 21 + 183 = 0. List the prime factors of x.
3
Let p = -8 + 15. Let s = p + -4. What are the prime factors of s?
3
Suppose 3475 = 18*r + 163. List the prime factors of r.
2, 23
Suppose -12*n + 1832 = -4*n. What are the prime factors of n?
229
Suppose 59 = -w + 23. Let s = -22 - w. What are the prime factors of s?
2, 7
Let q = -1 + 1. Suppose o - 4*t + t - 22 = q, -o + 32 = -5*t. List the prime factors of o.
7
Let t(m) = -23*m - 10. Let f(n) = 12*n + 5. Let d(b) = 7*f(b) + 4*t(b). Let r be d(-6). Let a = r + -23. List the prime factors of a.
2, 5
Let f(a) = -a**3 - 4*a**2 + 2*a. Let g be f(-5). Let j = 28 - g. Suppose -s + 4*c + j = 0, 5*s - 5*c + 33 - 98 = 0. List the prime factors of s.
13
Let a(b) = -9*b - 4. Let y(w) = -8*w - 4. Let x(g) = 4*a(g) - 5*y(g). List the prime factors of x(7).
2
Let a = 132 + -90. Suppose 0 = -2*x + 4*l + a, -4*l = 4*x - l - 106. List the prime factors of x.
5
Let k(b) = b**3 + 8*b**2 + 5*b + 6. List the prime factors of k(-7).
2, 5
Let u(o) = -7*o + 3. Let n be u(2). Suppose s - 2*l + 5 + 10 = 0, -4*l - 5 = 3*s. Let f = s - n. List the prime factors of f.
2
Let y be (-20)/(-6) - 3/9. Suppose 0 = -2*z - 2*p + 2, 3*p + 5 = 3*z - 4. Suppose -2*u - c + 17 = 0, y*c - c + z = 2*u. List the prime factors of u.
2, 3
Suppose -u = f - 32 + 2, 5*u + f - 170 = 0. List the prime factors of u.
5, 7
Suppose 0 = -4*h - 3*r - r + 132, -4*r = 5*h - 168. List the prime factors of h.
2, 3
Let b(o) be the first derivative of o**4/4 + 5*o**3/3 - 5*o**2/2 - 3*o - 3. Let c be b(-6). Let i = -3 - c. List the prime factors of i.
2, 3
Let w be 4/(-2) + 11 + -3. What ar | {
"pile_set_name": "DM Mathematics"
} |
4*m - 2*w. Sort -3, -4, m in descending order.
m, -3, -4
Let d be 1/(-3) + 112/(-42). Let o be (d/(-24))/(3/(-4)). Put 1/4, 5, o in decreasing order.
5, 1/4, o
Let i be (10/(-4))/(2/4). Let h(k) = -k - 3. Let s be h(i). Suppose 6*z = 3*z + 4*a - 9, 11 = 2*z + 3*a. Sort s, -4, z.
-4, z, s
Let k = -1.51 - 1.49. Sort -5, k, 0 in decreasing order.
0, k, -5
Suppose -3*u - 4*m = -0 + 16, 0 = 4*m + 4. Let g(l) = l**3 - 22*l**2 + l - 19. Let f be g(22). Sort u, f, 5 in decreasing order.
5, f, u
Let v(p) = p**3 + 10*p**2 - 12*p. Let l be v(-11). Sort 2, l, -2.
-2, 2, l
Let o = -29 + 31. Let m = 4.8 + -5. Put o, -5/2, m in decreasing order.
o, m, -5/2
Let g(a) = a**2 - 7*a + 6. Let d be g(5). Let w be d/40 + (-2)/(-4). Let i = -1/16 + -29/48. Put -1, w, i in descending order.
w, i, -1
Let m be (-6 - 6) + 2*1. Let p = m - -14. Sort 0, -3, p in ascending order.
-3, 0, p
Suppose -m - 5 = 4*m, 3*c = -m - 13. Suppose -20 = -5*x, 0*x + 2*x - 2 = 2*a. Put a, c, 1 in increasing order.
c, 1, a
Let c be 0/(-3)*(-4)/16. Sort 4, c, -1 in decreasing order.
4, c, -1
Let t = 21 - 21.4. Let z = 0.2 + -0.15. Let r = 5.05 - z. Put r, 1, t in decreasing order.
r, 1, t
Let r = -2 - -5. Let h = 0.06 - -0.04. Let c = -5.1 + h. Sort c, r, 2 in descending order.
r, 2, c
Let y = -11 - -15. Let v = y + 0. Let p = 4.4 - v. Put -5, p, 0 in decreasing order.
p, 0, -5
Let o be (0/(3/1))/1. Sort 0.3, -1, o in descending order.
0.3, o, -1
Let k = 19/6 - 11/3. Sort 5, -4, -11/3, k in increasing order.
-4, -11/3, k, 5
Let g = 36 - 35. Sort 2/9, g, 0.1 in ascending order.
0.1, 2/9, g
Let y be (-66)/14 + 4/(-14). Let u(c) = -c**3 + c**2. Let i be u(-1). Suppose -5 - 1 = -i*l. Sort l, 4, y.
y, l, 4
Let h = 2.2 + -3.2. Put h, -4, -4/5 in increasing order.
-4, h, -4/5
Let m = 0.21 - -0.19. Put -4, 7, m in increasing order.
-4, m, 7
Let c(g) = -2*g - 3. Let r be c(-4). Let o be (2/r)/((-1)/(-5)). Put -0.1, o, -3 in increasing order.
-3, -0.1, o
Suppose -4*g - 28 = 4*k, -2*g = -3*k - g - 1. Sort k, 2, -5 in decreasing order.
2, k, -5
Let z be 1/(2 - 18/10). Let w(c) = -c - 7. Let g be w(-6). Put g, 0, z in descending order.
z, 0, g
Suppose -2*q + 70 = -q - 2*v, 3*v + 142 = 2*q. Sort q, -1, 2 in descending order.
q, 2, -1
Let i be (-6)/4 - (-2)/4. Let r(f) = -5*f - 1. Let n be r(-1). Sort -3, i, n in decreasing order.
n, i, -3
Let f be (8/(-3))/(6/9). Let z = -0.04 - -0.44. Sort f, z, -1 in descending order.
z, -1, f
Let z = -0.051 - -4.151. Let m = -0.1 + z. Sort -2/9, 1/4, m in ascending order.
-2/9, 1/4, m
Let b(u) = -u**3. Let v be b(1). Sort v, -2, 5 in increasing order.
-2, v, 5
Let n = -0.07 - -0.074. Let u = 0.434 - n. Let r = u - 0.03. Put 0.5, 0.3, r in ascending order.
0.3, r, 0.5
Let j = -6 + 6. Let h be -2*4/(-1 + 3). Sort -2, h, j in increasing order.
h, -2, j
Suppose -2*i - 4*f - 9 = -i, 2*f + 15 = i. Suppose -5*v - 3*y - 4 + i = 0, -2*y + 2 = -v. Let o = v - -1/2. Sort o, -2, -0.4 in descending order.
o, -0.4, -2
Suppose -2*p + q = -0*q, p + 2*q - 5 = 0. Let c be (15/25)/(p/(-5)). Sort 0, 5, c in descending order.
5, 0, c
Let b be 322/(-84) - (-1)/(-6). Sort b, 2, 1 in decreasing order.
2, 1, b
Let d be (1/3)/(2/(-18)). Suppose -3*v + 2*o - 1 - 10 = 0, -3*v + 3*o = 15. Sort d, v, 1.
d, v, 1
Suppose 4 + 21 = 5*r. Let y(z) = -z**2 + 9*z + 1. Let l be y(9). Put l, r, -3 in ascending order.
-3, l, r
Let c = 3.2 - 3.2. Put 0.5, -1/8, c in descending order.
0.5, c, -1/8
Let x = -1 + 3. Let z = -47 + 45. Let b = x + z. Sort -2/13, b, -0.2 in decreasing order.
b, -2/13, -0.2
Suppose -2*a = -4*c - 11 - 1, 2*a - 2 = -c. Suppose 3 - 2 = q. Sort q, -3, c in descending order.
q, c, -3
Let n be -3 - 220/(-18) - (-6)/(-27). Sort 1, n, -1/7 in ascending order.
-1/7, 1, n
Let n be (-4)/7*(8 - 368/32). Suppose 0*a - 4 = -a. Sort -1, n, a in decreasing order.
a, n, -1
Let x = 20 + -19.8. Sort -4, 1/10, x in descending order.
x, 1/10, -4
Let g be 17/(-7) + (-9)/(-21). Sort 8, -3, g.
-3, g, 8
Suppose 0 = 2*w - 3 + 11. Let c = -7 - -12. Sort -5, w, c in decreasing order.
c, w, -5
Let a = -2 - -5. Let j be 1/a + 50/66. Let u = j + -13/22. Sort 0.4, u, -3 in descending order.
u, 0.4, -3
Let u(d) = d**3 - 4*d**2 + d - 6. Let b be u(4). Sort -5, b, 0 in descending order.
0, b, -5
Let n = -46 + 50. Sort n, 2, -20 in increasing order.
-20, 2, n
Let p = 24 - 27. Put p, 1, -3/5 in descending order.
1, -3/5, p
Suppose 9 = 4*f + 5*h, -3 = 3*f + 5*h - 11. Sort 49, f, 5.
f, 5, 49
Let o = -62.6 - -61.6. Let k = -6 - -4. Sort k, o, -0.4 in decreasing order.
-0.4, o, k
Let c(d) = -d**2 + 7*d + 5. Let l be c(8). Put l, -1, 1 in decreasing order.
1, -1, l
Let z = 1 + -3. Let c be 2/(-2*2/6). Sort c, -4, z.
-4, c, z
Let b = -3 - -2. Let w = -8.2 - -4.2. Let l = b - w. Sort 4, l, 2.
2, l, 4
Let v(r) = r**3 + 5*r**2 + 4*r. Let l be v(-4). Let u = -20.6 + 21. Put u, -3, l in decreasing order.
u, l, -3
Let j = -3.7 + 2.7. Let x = -1 + 4. Sort x, j, 2 in decreasing order.
x, 2, j
Let z = 3 + -5. Let k = z + -1. Put k, 3/4, -2/21 in decreasing order.
3/4, -2/21, k
Let w = -11 + 9.8. Let o = -3.2 - w. Sort o, -2/5, 4 in increasing order.
o, -2/5, 4
Let m = -2 - -7. Suppose 7 = 5*b - 2*f, 2*f = -2*b + 3*f + 2. Suppose 5 = -2*s + b. Put m, s, -5 in increasing order.
-5, s, m
Let t be (1 + (-1)/2)*22. Suppose 5*r - 31 - 9 = 0. Let u = t - r. Sort u, -3, -1 in descending order.
u, -1, -3
Let i = -43 - -39. Sort i, 1, -2, 2.
i, -2, 1, 2
Let l = 26 + -28.4. Let g = -0.4 - l. Sort 4/7, g, -1/3 in ascending order.
-1/3, 4/7, g
Suppose 2 = 9*y - 8*y. Suppose y*s - 3*s = -2*b - 6, s + 6 = -b. Sort -1, 2, s in ascending order.
s, -1, 2
Let h = -401 + 6017/15. Suppose 3*m - 5*f = 15, 5*f + 6 = -9. Let k be (-9)/10 - (-2)/4. Sort k, h, m in descending order.
h, m, k
Let g be (-2 + 0)*8/8. Sort g, 4, 5, 0 in increasing order.
g, 0, 4, 5
Suppose -5*q + 3 + 2 = 0. Suppose -5*y = -2*y - 12. Sort -3, q, y.
-3, q, y
Let h be (3/(-5))/(110/(-525)). Let u = -13267 - -291949/22. Let v = h - u. Put -0.4, -2, v in descending order.
-0.4, v, -2
Let f = -17 - -13. Sort f, -3, 2.
f, -3, 2
Let g = 0.03 - 0.31. Sort -2/5, g, 4 in decreasing order.
4, g, -2/5
Let a = 0.04 - -0.36. Let v = a + -1.4. Let s = -1.1 - v. Put s, -4, -0.4 in ascending order.
-4, -0.4, s
Suppose -5*r = -25 + 5. Let i(h) = -h**2 + 4*h + 2. Let n be i(r). Sort n, 5, 0 in decreasing order.
5, n, 0
Suppose 4*s - 13 = w, -5*w + 6 = 5*s - 4. Let f be (9/s)/((-12)/(-16)). Suppose 18 = -k - f*r, -4*k + 2*r + 23 = -r. Sort -3, k, 3.
-3, k, 3
Let l = -11.86 - 0.14. Let p = -0.16 + -6.84. Let o = p - l. Put o, -1/6, -0.2 in descending order.
o, -1/6, -0.2
Let n = 62 + -101. Let i be -4 - -1 - 111/n. Put -2, 5, i in ascending order.
-2, i, 5
Suppose 0 = 5*r - q + 20, 4*r + 8 = 2*r - 3*q. Let j(t) = t**2 + 9*t + 19. Let w be j(-4). Sort r, w, 2 in descending order.
2, w, r
Suppose -5*n + 3*b + 12 = 0, 2*n + 4 = 6*n - b. Suppose -3*m - 26 = -11. Put n, 1, m in ascending order.
m, n, 1
Let f = -7 + 12. Sort -4, f, -3/4 in descending order.
f, -3/4, -4
Let p be 1/3*(-12)/(-2). Let b = -11 - -8. Suppose 2 = 5*h - 13. Sort h, b, p.
b, p, h
Let p(i) = -i**3 - 13*i**2 + 10*i - 54. Let k be p(-14). Let a(v) be the third derivative of -v**5/30 + v**2. Let h be a(1). Sort h, k, 3 in ascending order.
h, k, 3
Let v be -2*(2 + -3) - -2. Suppose a = 5*a + v. Put a, -3, 4 in ascending order.
-3, a, 4
Suppose 0 = -2*c + 5*g - 36, -4*c - 72 = -4*g + 3*g. Let a = -13 - c. Sort a, 2, 0 in descending order.
a, 2, 0
Let f = 65/3 + -21. Let z = -0.485 + 0.485. Put z, 0.1, f in descending order.
f, 0.1, z
Suppose -4*t + 12 = -2*s - 2, -5 = -5*s + 2*t. Suppose 2 + 1 = 3*m + s*v, 3*m - 11 = -v. Sort m, 3, 0 in increasing order.
0, 3, m
Let k be (-8)/15 - (-3)/15. Let i(t) = 3*t + 4. Let j be i(-3). Let h be 6/(-9) + 8/9. Put j, h, k in ascending order.
j, k, h
Let x = -0.04 + -2.96. Let y = 1 - -2. Let t = 19 + -18.6. Sort y, t, x.
x, t, y
Suppose -b = b - 2*g - 8, 2*b + 4*g - 2 = 0. Suppose 0 = -3*t + p - b*p - 217, -p = -4. Let f = 373/5 + t. Sort f, 3, 1 in decreasing order.
3, 1, f
Let k = -0.8 - 1.2. Let t = k + 2. Let p be 1/(-4)*4/(-9). Put p, t, -2 in descending order.
p, t, -2
Let h = -8 - -5. Let k = 35 + -35. Put 1, h, k in decreasing order.
1, k, h
Suppose -2*c = -3*c - 25. Let f be 60/c + 6/(-10). | {
"pile_set_name": "DM Mathematics"
} |
3 - 5*t + 8. Let j be n(14). Solve j = -q - 2*q for q.
-3
Let w = 0 + 2. Suppose d = 4*s - 6, 6*d - d = -s + 12. Let a be (-8)/(-6)*9/s. Solve w*k = -a + 16 for k.
5
Let z(g) = 10*g - 1. Suppose 0 = -0*r - 2*r + 2. Let n be z(r). Suppose l + 0*l - n = 0. Solve 4*d - l = -1 for d.
2
Suppose 0 = -7*d - 78 + 288. Solve d = -7*a + a for a.
-5
Suppose 39 + 15 = 3*w. Suppose -5*a + 13 = -3*y - 26, 2*y = -4*a + w. Solve 0 = -4*x - a - 2 for x.
-2
Suppose -76 - 34 = -5*h. Solve 0 = h*w - 26*w for w.
0
Let v(x) = -x + 4. Let a be v(4). Suppose -3 = h, -2*p + 5*h + 24 = p. Let w be p + (-1 - a) + -1. Solve -m = -w + 5 for m.
-4
Let u = 76 - 82. Let c(k) be the first derivative of -k**4/4 - 7*k**3/3 - 5*k**2/2 + 7*k - 3. Let t be c(u). Solve 1 = -2*a - t for a.
-1
Let b be 1 - 10 - (-2196)/183. Solve 0 = b*r + 11*r for r.
0
Suppose -42 = -4*m - 2*m. Suppose -14*b + 35 = -m. Solve 3 + 12 = b*z for z.
5
Let t(z) = z**3 + 6*z**2 + 7*z - 2. Let c be t(-5). Let g be c/66 + (-24)/(-11). Suppose g*o - 4*j = 6, j = -3*o - j + 9. Solve o = q - 0*q for q.
3
Let s(t) = -t**3 - 4*t**2 + 4*t + 4. Let r be s(-5). Suppose 3*p + 9 - r = 0. Solve p = 2*u - 3*u - 1 for u.
-1
Suppose -23 = 3*x + 34. Let l = 22 + x. Suppose -2*n + 7 = 5*z - 27, -9 = n - 4*z. Solve l*w - n*w = -20 for w.
5
Suppose -3*u = 2*u - 3*g - 22, -2 = -2*g. Suppose -u*x + 7*x + 12 = i, 3*x = -12. Let r = -19 + 29. Solve i*a - r = 2 for a.
3
Let k(b) = -b - 1. Let u(r) = -r + 9. Let h(j) = -2*k(j) + u(j). Let n be h(-7). Solve -2 - n = -2*p for p.
3
Suppose 10*x - 52 = 78. Suppose 19 + x = 4*t. Solve -3*y = t + 1 for y.
-3
Let l(x) = 5*x - 30. Let b be l(8). Suppose b*m = 16*m - 30. Solve -m = s - 1 for s.
-4
Suppose -4*f = 3*d - 18, 5*d - 5*f + 3 = -2. Suppose 4*h = -x + 14, -2*h = 2*h - 12. Solve j - d*j - x = 0 for j.
-2
Let u be 1*((-2 - 18) + 3). Let o = -12 - u. Solve -4 = o*c + 1 for c.
-1
Suppose -12*q = -178 + 154. Solve 9*n + q = -7 for n.
-1
Suppose 19*z = 22*z - 9. Let a(w) = w**2 + w - 10. Let s be a(z). Solve n = -s*n + 9 for n.
3
Suppose -5*v + 3*g = -34, -4*v - 6 = 2*g - 20. Let w(i) = -5*i + 33. Let d be w(v). Solve -d*t + 12 = -4*t for t.
3
Let l be ((-6)/10)/(1/(-5)). Let j be 1/((-7)/(-2) - l). Let t = -2 + j. Solve 3*y + t + 3 = 0 for y.
-1
Let a(w) = -5*w**3 - 2*w**2 + 2*w + 4. Let i(g) = 9*g**3 + 4*g**2 - 4*g - 8. Let y(t) = 7*a(t) + 4*i(t). Let k be y(-2). Solve x - 4 = -k for x.
4
Let a(i) = -i**3 - 3*i**2 + 3*i - 1. Let j be a(-4). Let h(q) = -61*q - 106. Let d be h(-2). Solve z - d = -j*z for z.
4
Let q be ((-16)/(-20) + -1)/((-6)/(-10))*-9. Let f = 20 + -14. Solve f*w = q*w for w.
0
Let m(i) = -i**3 + 6*i**2 - 3*i + 58. Let l be m(6). Solve -44*j = -l*j for j.
0
Suppose 0 = 4*t + 5*r + 11, 1 = 6*t - 2*t + r. Solve 0*c - c = t for c.
-1
Suppose 0 = m - x, -8 = 2*m + 15*x - 19*x. Solve 0*p - 4 = m*p for p.
-1
Let p = 134 + -131. Let s(u) = -u - 4. Let k be s(-4). Solve -p*y - y = k for y.
0
Suppose 3*c + 14 = 6*c - 2*m, 2*c + 4 = -2*m. Let f be -1*(1*-10 - 0 - 4). Suppose 8*q = f + 10. Solve -q*l = -c*l + 5 for l.
-5
Suppose -10*o + 14*o + m - 39 = 0, m + 27 = 2*o. Let k(q) = -q**3 + 13*q**2 - 19*q - 31. Let f be k(o). Suppose -2*z = 3*z - 15. Solve -f = z*v + 4 for v.
-2
Let g(n) = 9*n - n**2 + 2 - 2*n**2 - 6 + 4*n**2. Let v be g(-10). Let s = v + -6. Solve s*j = -3*j for j.
0
Let c(z) = -z. Let p be c(-5). Suppose 0 = -m + 2*b - 3, 0 = -2*m + 3*b - 2*b + 3. Suppose -x = m*n - 11, -x - 25 + 1 = -4*n. Solve p*q + n = 30 for q.
5
Let r = -28 + 27. Let s = r + 6. Suppose 0 = s*v + 3*z - 10, 6*v - 4*v - z - 4 = 0. Solve 16 = -v*w + 6*w for w.
4
Let h = -1066 - -1085. Solve -h*l - 10 - 9 = 0 for l.
-1
Let q(g) = g**2 - 13*g + 32. Let l be q(3). Let o be ((-1)/(-3))/((-2)/(-18)). Let h = 7 - o. Solve h*j = 2 + l for j.
1
Let r(a) = -a**3 + 2*a**2 + 6*a - 7. Let c be r(4). Let v = -9 + -2. Let k = v - c. Solve -d + 1 = -k for d.
5
Let q be (-66)/(-55) - 12/(-15). Solve q = -u - 1 for u.
-3
Let o(j) = -6*j**3 - 6*j**2 - j + 5. Let w be o(-1). Solve -27 - 3 = w*m for m.
-5
Suppose 3*y - 1 = 5. Solve -1 = y*v + 3 for v.
-2
Suppose 3*k = 2*q - q + 3, -3*q + 1 = k. Suppose 2*r - 8 = 4*g, -4*r = 3*g + 2*g - 29. Solve q = 3*f - 5*f + r for f.
3
Suppose 39 = 4*z - z. Let y(j) = -6*j + 1 + z*j + 7 + j**2 - 4. Let m be y(-7). Solve f + m*f - 20 = 0 for f.
4
Suppose -5*m = 3*p - 26, 21 + 1 = 3*p + 4*m. Suppose 4*i + p*i = 12. Let l = 2 + 1. Solve i + l = -q for q.
-5
Let h(b) = b**3 - 19*b**2 + 19*b - 17. Let l be h(18). Solve -4*z - 13 + l = 0 for z.
-3
Let g(x) = -5*x - 1. Let s(b) = -3*b + 2*b + 7*b. Let i(o) = -7*g(o) - 6*s(o). Let z be i(-5). Solve 0 = l + 2*l - z for l.
4
Suppose 4*h - 26 + 6 = 0. Suppose -13 = -h*y + 7. Suppose 5*g = 2*c - 1 - 1, 22 = y*c - g. Solve -2*o + 2 = c for o.
-2
Suppose -8 = -3*r + 7. Suppose -c + 36 = -2*z, -92 - 93 = -r*c + 5*z. Suppose 4*p = -2*g + c, -2*p - 3*g = -0*p - 25. Solve -2*x = -p - 0 for x.
4
Suppose 0 = 4*g + 4 - 8, 2*b - g + 1 = 0. Suppose b = -u - 2*u + 9. Solve -u*i - 3 = -4*i for i.
3
Suppose -5*t - 2*v + 75 = -4, 2*t + 2*v - 34 = 0. Solve -14*p + 2 = -t*p for p.
-2
Let v(m) = 4*m**3 + m**2 - 1. Let i be v(1). Let l = -24 - -34. Suppose -r = 4*r - l. Solve i*f - r*f = 0 for f.
0
Let r(j) = 10*j + 324. Let t be r(-32). Solve -p - t = 1 for p.
-5
Let l be (1 - 3)*-1*2. Let v = 4 - l. Suppose -k = k. Solve k = -3*r - v*r - 12 for r.
-4
Suppose 9*p + 31 = 12*p - h, -5*p + 54 = -4*h. Solve -6*j = -11*j - p for j.
-2
Suppose 3 = 13*r - 12*r + 3*s, 2*r - s - 20 = 0. Solve r = -15*l - 51 for l.
-4
Suppose -239 = 4*r + 5*v, 0 = 5*r - 3*v + v + 274. Let c = r - -59. Solve -1 = -c*k + 2 for k.
1
Let x(l) = -l - 3 + 0 + 0. Let j be x(-5). Solve j + 3 = z for z.
5
Let r(x) = x**2 - 7*x - 13. Let u be r(9). Suppose -4*t + 3*h - 12 = -3*t, -4*t = u*h - 20. Solve 0 = -t*q + 2*q for q.
0
Suppose -u - 5*o = 0, o = 3*u + u. Suppose 2*f - 13 = 10*s - 7*s, -2*f - 4*s + 6 = 0. Solve u = p - f*p for p.
0
Suppose -10*t + 16 = 4*h - 14*t, -4*h = 3*t - 9. Solve -h*x + 11 = 2 for x.
3
Suppose -3*t = -5*t + 10. Solve t*o - 12 = o for o.
3
Let j(r) = 0*r + 0 + 6 + r. Let t be j(0). Solve q + t = 2 for q.
-4
Let s be (-7 - -1)*72/(-12). Let w = -36 + s. Solve 4 + w = -b for b.
-4
Let i be (-33)/(6/(-2)) - 11. Solve 0 = -i*l + 10*l - 10 for l.
1
Suppose -4*u + 16 = 3*c, -2*u = 2*c - 6*c + 14. Suppose -3*f + c*k + 3 = -0*f, 0 = -f + 4*k + 1. Suppose -6*l + 3*l = -6. Solve -l*i + f + 7 = 0 for i.
4
Let d = 14 - 8. Let l be d/(-8) + 76/16. Let g = 26 + -24. Solve g + l = -2*t for t.
-3
Let h = 55 + -55. Solve h = 2*b - 2 for b.
1
Suppose 2*b - 164 = -4*w, -175 = -5*w + 5*b - 0*b. Let u be 33/(-2)*(-26)/w. Let n = 11 - u. Solve -o + n*o = 5 for o.
-5
Let h = 40 + -56. Let z = h + 2. Let d be (12/z)/(6/(-28)). Solve 0 = 3*m - 5 - d for m.
3
Suppose 10*y - 177 + 17 = 0. Solve -6*p + y*p + 30 = 0 for p.
-3
Let u(g) = -g**3 + 3*g**2 + 11*g - 3. Let m be u(5). Suppose m*j = 3*t - 3, t = -2*j - 0*t + 9. Solve -j*d + 2 = 14 for d.
-4
Let t(o) = -o + 6. Let y be t(3). Suppose y = -5*b + 6*b. Suppose -b*p = 2*p - 50. Solve p*j - 5*j = -15 for j.
-3
Let d = 9 - 14. Let v = 9 + d. Suppose -v*a - 9*l - 2 = -4*l, 2*a - 2 = -l. Solve -a*h + 6 + 4 = 0 for h.
5
Let z be ((-234)/(-91))/((-6)/(-112)) + 6. Solve -3*p - 69 = -z for p.
-5
Suppose 0 = 40*q - 41*q + 1. Solve q = 3*j + 10 for j.
-3
Let m = -444 + 501. Solve 24 = 11*f + m for f.
-3
Suppose 19*p + 18 - 94 = 0. Solve 0 = p*r - 7*r - 6 for r.
-2
Suppose 5*k - 5 = 6*k. Let g(u) = 8*u + 47. Let b be g(k). Solve -4 = -3*y - b for y.
-1
Let l(t) = t**3 + 2*t**2 - 7*t - 8. Let x be l(-1). Solve x = -y + 34 - 34 for y.
0
Let n be (1 + -2)*(0 + 4). Let y(z) = z**2 + 2*z - 6. Let g be y(n). Suppose -3*r = g*r - 10. Solve t - 3 - r = 0 for t.
5
Let x(v) = 9*v - 226. Let w be x(26). Solve -4*k = -w - 8 for k.
4
Suppose -3*t + 63*d + 11 = 68*d, -3*t = 4*d - 13. Solve t*l - l + 3*l = 0 for l.
0
Let v be -7*((-91)/49 + 3/7). Suppose -11*j + 4 = -v*j. Solve j = -4*x - 0*x for x.
-1
Suppose 4*v = -7*v + 429. Suppose 8*k = -5*k + v. Solve -2 - 4 = -k*h for h.
2
Suppose -3*h = -5 - 1. Suppose -g - 1 = -h. Solve -2*v + g = 5 for v.
-2
Let d(n) = 0*n**2 - 2*n - 3*n**2 - 7 + n**3 - n - n**2. Let g be d(5). Solve -1 = -g*m + 5 for m.
2
Let d(q) = 8*q** | {
"pile_set_name": "DM Mathematics"
} |
10*k - 4. Let w be p(-9). Suppose -43 = -w*x - 4*m + 3, -5*x + m = -26. Is x/(-14) + 19670/49 a prime number?
True
Suppose -3*w = -c + 49298, 0 = -67*c + 64*c - 2*w + 147927. Is c composite?
False
Let b(n) = -315*n + 32. Is b(-7) a composite number?
False
Let l = 14580 - 7887. Suppose 32*z = 35*z - l. Is z a composite number?
True
Let t(b) = -b**3 + 5*b**2 + 3. Let u be t(5). Suppose -4*o + 3927 = 3*l + 299, -u*o - 3*l = -2721. Is o prime?
True
Let c be (1 - -4)/(4 + -3). Suppose 3*o - k = -0*o + 96, c*k + 15 = 0. Is o prime?
True
Suppose 0 = -2*l + 4*r - r + 579, 5*r - 619 = -2*l. Suppose -19*w = -15*w + 2600. Let b = l - w. Is b a prime number?
True
Suppose -2*g - h - h = -1746, 0 = 3*g - 3*h - 2589. Suppose -6*y + g = -3170. Is y composite?
False
Let u be (0 - 5)*(1944/20)/(-3). Let s(t) = -t + 11. Let y be s(8). Suppose 357 = 4*m - 3*p, 3*m + u - 432 = y*p. Is m a prime number?
False
Suppose 0 = 4*i - a - 7, -6*i + 5*a + 18 = -3*i. Let r = -4 + i. Is (-15)/r*(-134)/(-10) a prime number?
True
Let y be (-1)/1*(-6)/(-2). Let w = 156 - 156. Is -1*(w + y + -208) composite?
False
Suppose -3*c = -c - 6. Let z(u) = 7 - u - c - u + 40*u**2 - 2. Is z(2) a prime number?
False
Let g(v) = 2147*v + 2. Let s be g(5). Suppose 151 + s = 8*n. Is n composite?
False
Suppose 106 = -3*w - 593. Let j = 104 - w. Is j a composite number?
False
Suppose -60*q = -718882 - 316178. Is q prime?
False
Is 40143 - (0/1 - (20 + -20)) a composite number?
True
Let b(w) = 19*w**3 + 5*w**2 - 32*w + 191. Is b(5) prime?
True
Let s = -35 - -40. Suppose -5*n = 2*z - 6, 4*z + 2 + 4 = -n. Is 1652/20 + n/s a prime number?
True
Suppose 26*x = 28360 + 132762. Is x a composite number?
False
Let r = -3234 + 6031. Suppose 2*f - h - r = 0, -3*h = f - 3*f + 2795. Is f a prime number?
True
Suppose 2*w - 2*r - 6 = 0, w + r - 3 = -4*r. Let s(n) = n + 3*n**w - 2*n**3 - 2*n**3 + 10*n**2 + 1 - 12. Is s(9) prime?
True
Let n = -11604 + 7721. Let x = -218 - n. Is x prime?
False
Let i(n) = -19*n**2 + 2*n + 13. Let c be i(4). Suppose 4*a - a = 1548. Let s = a + c. Is s a prime number?
True
Let m be -2 - (-882)/(4/2). Let j be -236 + (-1)/(-2)*4. Let c = j + m. Is c composite?
True
Suppose -4*u = -9 - 15. Let o be -2 + u + -2 - 7. Let y(h) = h**3 + 7*h**2 + 4*h + 1. Is y(o) a prime number?
True
Suppose 2*s = 2*d - 12, -3*s + 5 = -5*d + 31. Suppose d*c + k - 922 = -82, 4*k = c - 227. Is c composite?
False
Suppose -2*u + 8 = 4. Let g be -2 - ((-10)/(-2) + u). Is 1592/6 + 3/g composite?
True
Suppose p = -3*l + 4*l + 5060, -p + 3*l = -5068. Suppose -6*s + p = -2606. Is s prime?
True
Suppose 17*d = 18*d + 506. Let y = 8 + 821. Let i = y + d. Is i prime?
False
Suppose -z - 1 - 4 = -5*k, 5*k + 15 = 5*z. Suppose 2*d - 62 = z*y - y, d - 38 = -5*y. Is d composite?
True
Suppose 8*m = 131227 - 9683. Is m composite?
False
Suppose -w + 4*w = f - 559, 3*f = -15. Let c = w + 393. Is c a composite number?
True
Let c = 5 + -5. Suppose 0 = -5*h + 3 + 2, c = 2*w + h - 1. Suppose -3*j + 4*a + 81 = w, 105 = 6*j - 3*j + 4*a. Is j a prime number?
True
Is (2/4)/((-255183)/(-25518) + -10) a prime number?
True
Let a(s) = -2*s**3 - 3*s + 5. Let h be a(-4). Is 2/(2/1)*h a prime number?
False
Let t(a) = 3*a - 1318. Let h be t(0). Let i = 1875 + h. Is i composite?
False
Let n be -12 + 12 + -181 + -1. Is (-9426)/(-14) + 0 + 52/n a composite number?
False
Suppose -6 = -2*d, 3*k + 6*d - 4*d = 4323. Is k prime?
True
Let s = 8470 + 112933. Is s prime?
True
Is (2 + 820)*4*(-3)/(-24) a composite number?
True
Suppose 4*g = x + 4272, 5*g + 2*x - 2146 = 3*g. Is g composite?
False
Suppose 10*t + 5*t - 4200 = 0. Suppose 187 = m - t. Is m composite?
False
Suppose t = 5, 4*s - s = -3*t + 4206. Is s prime?
False
Let m be (9/(-2))/(3/(-76)). Let k(b) = -b**3 - 2*b**2 - b + 2. Let a be k(0). Suppose 2*w - m = 4*y, 3*w - 7*y + a*y - 169 = 0. Is w a composite number?
False
Let y(o) = -85*o**3 - 2*o**2 - 14*o - 54. Is y(-7) prime?
True
Let j be (-357 - 12/(-4)) + 3. Let r = 844 + j. Is r a prime number?
False
Suppose -4*j + 3831 = -j. Suppose -346 - j = -3*s. Is s a composite number?
False
Is (-16)/80 - (-2043030)/25 a composite number?
True
Let k = 124 + -271. Let s = k + 77. Let y = 133 - s. Is y composite?
True
Let a = -4581 - -9118. Is a prime?
False
Suppose -25 - 35 = -6*n. Suppose -12*h - 5*o = -n*h - 8509, 0 = 4*h - 5*o - 16973. Is h composite?
True
Let z(m) = -m + 24. Let q be z(4). Suppose -q*u + 13*u + 6139 = 0. Is u composite?
False
Let j(q) = 2952*q**3 + 2*q**2 - 11*q + 10. Is j(1) prime?
True
Let c be (-134)/(-5) + 1/5. Let f be c/5 + (-6)/15. Suppose -f*h - 2*h = -2513. Is h a composite number?
False
Let l = 10187 + -4549. Is l a composite number?
True
Suppose y - 4*y - 4*b = 8, -17 = -3*y + b. Let r(d) = -17*d**3 - 9*d**2 - d + 4. Let f be r(-6). Suppose y*z - f + 618 = 0. Is z a composite number?
True
Is 1740 + (-3)/(21/49) prime?
True
Let k be (-15)/(-3) + -3 - -2. Let l(i) = 1 + i**3 - k*i**2 - 9*i - i**2 + 4*i**2 + 10*i. Is l(6) prime?
False
Suppose -2*r + 7334 = -4*s, 9*r - 8*r - 3681 = -5*s. Is r a prime number?
True
Let j be (18/(-12))/(2/(-16)). Is (208/j)/(4/6) a composite number?
True
Let k = 11 - 6. Suppose -u + 2*u + 644 = k*h, h = 5*u + 148. Suppose -h = -v - 41. Is v a composite number?
True
Let r = -12 - -17. Suppose 2*k + r = 15. Suppose -z = 4*j + 521 - 1554, 0 = 3*j + k*z - 762. Is j a prime number?
False
Let t(z) = -6*z**3 - 6*z**2 - 2*z - 6. Let o(d) = -7*d**3 - 7*d**2 - 2*d - 7. Let q(s) = 3*o(s) - 4*t(s). Is q(4) a prime number?
True
Suppose -44*a + 369833 = 148381. Is a composite?
True
Let l(w) = 3*w**2 - w. Suppose -g + 0*g - y + 6 = 0, 2*g + 3 = -5*y. Let n be l(g). Suppose 0 = -2*d + 2*h - 0*h + 190, -4*d + n = 3*h. Is d composite?
True
Let c = 18 + 731. Is c a prime number?
False
Suppose 0*k - 3*k + 30 = 0. Let z = k - 18. Is z/(-12) + 950/6 prime?
False
Suppose -5*u = 3*v - 0*v - 662161, 2*u - 220721 = -v. Is v a prime number?
False
Let w(o) = -o**3 + o**2 + 2*o + 8663. Is w(0) a composite number?
False
Let n = -31 - -34. Suppose -w + 2*w + 895 = 3*q, -891 = -n*q - 3*w. Is q a composite number?
True
Let y = -48 - -48. Suppose y = -d - 5*p + 611, 3*p = d - 3*d + 1250. Is d prime?
True
Let x(p) = 49*p**2 - 23*p + 17. Is x(-19) prime?
True
Let a = -46 + 62. Is (0 + (-1497)/6)/((-8)/a) a composite number?
False
Let d = 1 - -4. Suppose -t = -5*t - 3*j + 12, -d*t = -j + 4. Suppose -2*x + 46 + 72 = t. Is x prime?
True
Let p = -46 - -43. Is 4/p*(-786)/(-20)*-5 composite?
True
Let b(n) = 28*n**2 - 5*n - 13. Is b(-10) composite?
False
Suppose -a + 3 = -2. Suppose 9*q = a*q + 92. Is q prime?
True
Suppose -299*h + 20471 = -288*h. Is h a composite number?
False
Is ((-32764)/6)/(2/(-3)) a composite number?
False
Let k = 96 - -1951. Is k prime?
False
Let t(r) = 30*r - 53. Let l be t(6). Let p be (-1)/(-4) + (-2613)/(-12). Let x = p - l. Is x a composite number?
True
Let x(z) = 2*z**3 + z**3 - 4*z**3 + 1 - 9*z + 16*z**2 + 18. Is x(15) composite?
False
Let w be 2 + -1 - 36*12. Let u be -3 + 5548/(-5 + 1). Let r = w - u. Is r a composite number?
True
Let r = -11106 + 23947. Is r a prime number?
True
Let d(t) = -3*t. Let s be d(-1). Suppose s*o + 100 = k, -4*o - 258 = -3*k - 9*o. Suppose 2*g = g + k. Is g a composite number?
True
Let r be (3/(-2))/((-36)/48). Suppose -u - 4 = 0, 0*n - 203 = -3*n + r*u. Is n composite?
True
Suppose 3*g + 73 - 1 = 0. Let l = g + -4. Let i = l + 43. Is i composite?
True
Suppose 0*f + f = 4*w - 122, -f - 60 = -2*w. Let j = -27 + w. Is (j/10)/(2/4835) prime?
True
Let p(u) = 652*u**2 + u - 5. Suppose -s - 2*s + 6 = 0. Is p(s) prime?
False
Is (1/(-4))/(19/(-556168)) a prime number?
False
Suppose a + 3567 = 3*g - 0*a, -2*g = -6*a - 2378. Is g a prime number?
False
Let g(t) = t - 2. Let v be g(10). Is v/(-2)*(-2018)/8 prime?
True
Let o(y) be the second derivative of -y**3/3 - 5*y**2/2 + 2*y. Let r be o(-5). Suppose r*w = 20 + 55. Is w composite?
True
Suppose -z = -3*r + 323, -3*r + 849 = -3*z - 90. Let s = z - -519. Is s composite?
False
Let g be (-5)/(-25) - 2/10. Suppose -2*x + 22 - 262 = g. Let q = -35 - x. Is q prime?
False
Suppose -5*s + 8*i + 18793 = 4*i, -5*s = -5*i - 18790. Is s prime?
True
Let y(c) be the second derivative of -c**4/12 + 7*c**3/2 + 7*c**2 - c. Let h be y(12). Let f = h + -55. | {
"pile_set_name": "DM Mathematics"
} |
g(q))?
8*q
Let g(q) = -q. Let y(o) be the second derivative of -o**4/4 - 5*o. Determine g(y(z)).
3*z**2
Let g(c) = 6*c. Let r(d) = -2*d + 80. Determine r(g(o)).
-12*o + 80
Let c(y) = -4*y. Let f(r) = 5*r**2 - 12. Let s(d) = 3*d**2 - 6. Let a(t) = -4*f(t) + 7*s(t). Let n(o) be the first derivative of a(o). What is c(n(g))?
-8*g
Let z(w) = -3*w - 3*w**2 + 3*w + 0*w. Let i(j) be the third derivative of 0*j + 1/12*j**4 + j**2 + 0*j**3 + 0. What is i(z(x))?
-6*x**2
Let y(m) = -3*m. Let o = 14 - 10. Suppose -3*i + o = -i. Let q(w) = -5*w + 2*w + 3*w - i*w. Give y(q(d)).
6*d
Suppose -2*g = -6*g. Let o(d) = d + g*d + 0*d + 4*d. Let t(h) = 2*h**2. Calculate t(o(s)).
50*s**2
Let q(y) = 3*y**2. Suppose -5*c + 15 = 0, 4 + 0 = -b + 2*c. Let g(t) = 0*t**b + 6*t**2 - 5*t**2. Determine q(g(a)).
3*a**4
Let y(g) = 21*g. Let u(t) = 8*t. Let c(b) = -10*b. Let z(n) = 2*c(n) + 3*u(n). Calculate z(y(d)).
84*d
Let h(k) = -28*k. Let z(a) = 47*a**2. Give z(h(u)).
36848*u**2
Let d(u) = 4*u. Let a(b) = -4*b + 3*b - 2*b. Let h(n) = 5*a(n) + 3*d(n). Let x(s) = -2*s**2. Give x(h(r)).
-18*r**2
Let q(w) = -80*w. Let l(o) be the first derivative of -2*o**3/3 - 6. What is l(q(y))?
-12800*y**2
Let b(l) = 4*l. Let y(x) be the second derivative of 1/12*x**4 + 3*x + 0 + 0*x**2 + 0*x**3. Give b(y(j)).
4*j**2
Let t(a) = -9*a - 5. Let m(v) = -5*v - 3. Let n(j) = -5*m(j) + 3*t(j). Let d(w) = 2*w. Let g(f) = 3*d(f) + 2*n(f). Let s(c) = -c. Give s(g(h)).
-2*h
Let x(o) = o**2 - o. Let w be x(-3). Suppose -5*j = -w - 18. Let m(b) = -b - j + 0*b + 6. Let h(i) = -2*i. Determine m(h(p)).
2*p
Let c(f) = 44*f - 10. Let r(v) = 2*v. What is c(r(j))?
88*j - 10
Let a(t) be the third derivative of -3*t**2 + 0 + 0*t**3 + 0*t + 1/8*t**4. Let d(m) = 2*m. Determine d(a(y)).
6*y
Let g(o) = 4*o**2. Suppose -5*w + 21 = -4*l, -3*l + 0*w - 7 = 5*w. Let x(c) = c - 1. Let z(h) = 2*h**2 - 4*h + 4. Let p(b) = l*x(b) - z(b). What is g(p(q))?
16*q**4
Let x(l) be the first derivative of -3*l**3 + 3. Let f(t) be the second derivative of t**3/6 + 14*t. Calculate x(f(a)).
-9*a**2
Let g(x) = -26*x. Let c(n) = 2*n**2 + 5*n - 5. Let p(f) = -3*f**2 - 6*f + 6. Let d(a) = -6*c(a) - 5*p(a). Give d(g(q)).
2028*q**2
Let c(m) = 3*m**2. Let s(h) = h - 368. Calculate s(c(u)).
3*u**2 - 368
Let q(z) = -6*z**2 - 18*z - 18. Let m(c) = c + 1. Let x(l) = 18*m(l) + q(l). Let g(p) = -p + 3. Let u(r) = -1. Let k(n) = -g(n) - 3*u(n). Determine k(x(j)).
-6*j**2
Let w(i) = -4*i**2. Let j(b) be the first derivative of -2*b**2 - 9. Determine j(w(x)).
16*x**2
Let a(q) = -q. Let b(l) = 25 - 25 - 3*l. Give b(a(f)).
3*f
Let g(q) = 17*q**2. Let a(f) = -17*f + 5. Determine g(a(i)).
4913*i**2 - 2890*i + 425
Let c(q) = 8*q. Let y(m) = -8*m. Let l(b) = -4*c(b) - 6*y(b). Let s(p) = 2*p**2. What is l(s(z))?
32*z**2
Let k(d) = -d**2. Let l(j) = -6338*j**2. What is k(l(o))?
-40170244*o**4
Let y(v) = -v**3 - 4*v**2 + 6*v + 7. Let f be y(-5). Let d(w) = 3*w**f + 3*w**2 - 5*w**2. Let b(l) be the second derivative of l**3/3 + 3*l. Determine b(d(z)).
2*z**2
Let g(i) = -2*i. Let a(s) be the third derivative of -s**4/6 - 21*s**2. Calculate a(g(z)).
8*z
Let s(p) = 2*p**2. Let v(b) = 90*b. Let i be (-19 - -19) + (-85 - -1). Let o(d) = 2*d. Let h(m) = i*o(m) + 2*v(m). What is h(s(x))?
24*x**2
Let g(j) = -13*j**2. Let a(o) = -29*o**2 - 27*o**2 + 78*o**2 - 24*o**2. Determine a(g(w)).
-338*w**4
Let i(y) = -y**2. Let d(m) = -18*m**2 + 3*m**2 + 52*m**2 + 50*m**2. Calculate i(d(p)).
-7569*p**4
Let s(m) = m**2 - 3*m. Let g(x) = 2*x - x**2 + 0*x**2 - 9*x + 4*x**2. Let n(t) = -3*g(t) + 7*s(t). Let u(i) = -4*i**2. Calculate n(u(l)).
-32*l**4
Let a(h) = -3*h**2. Let d(l) = -2*l - 4782. What is a(d(z))?
-12*z**2 - 57384*z - 68602572
Let k(j) = -10*j**2 + 6*j**2 - 7*j**2 + 2*j**2. Let t(m) = -7*m. Calculate t(k(g)).
63*g**2
Let t(l) be the second derivative of -l**3/6 - 4*l. Let p(g) = 8*g**2 - 5*g + 5. Let m(c) = 4*c**2 - 2*c + 2. Let z(d) = 5*m(d) - 2*p(d). Calculate z(t(o)).
4*o**2
Let q(y) = -21*y**2. Let m(c) be the second derivative of c**4/6 - 7*c. What is m(q(a))?
882*a**4
Let u(m) = -2*m. Let h(t) = 70*t**2 - 7*t. Let w(y) = -47*y**2 + 5*y. Let f(k) = 5*h(k) + 7*w(k). What is u(f(j))?
-42*j**2
Let l(d) be the third derivative of -d**6/180 + d**3/3 + 5*d**2. Let n(j) be the first derivative of l(j). Let h(b) = -2 - 2*b + 2. Calculate h(n(r)).
4*r**2
Let c(r) = r**2 - r - 1. Let v(u) = -5*u - 5. Let h(w) = 5*c(w) - v(w). Let b(a) be the second derivative of a**3/6 - 8*a. What is b(h(l))?
5*l**2
Let t(o) be the third derivative of -o**4/8 + 3*o**2. Let x(q) = 11*q + 5. Let g(v) = 17*v + 8. Let d(a) = -5*g(a) + 8*x(a). What is t(d(f))?
-9*f
Suppose 4*d - 16 = 2*d. Let o(m) = 0*m - 3*m + d*m. Let g(t) = 2*t. Give g(o(l)).
10*l
Let w(h) = -2*h - 29 - 38 + 67. Let c(y) = -35*y**2. Determine w(c(j)).
70*j**2
Suppose -2*t + 2 = -2*z, 3 + 7 = t + 2*z. Suppose 0 = -f - 4*h + 3, f = -2*f - t*h + 9. Let a(r) = -f*r + 2*r + 0 + 0. Let y(o) = 3*o. Calculate y(a(v)).
-3*v
Let k(w) = 2*w. Let l(j) be the second derivative of -9*j**4/4 - 18*j - 2. Determine l(k(x)).
-108*x**2
Let q(i) = 41*i. Let v(p) = 3*p**2. Give v(q(l)).
5043*l**2
Let s(d) = d**2. Let w(b) = -122*b**2 + 1. Give w(s(o)).
-122*o**4 + 1
Let z(g) = -520*g. Let n(i) = -4*i**2. Calculate z(n(b)).
2080*b**2
Let x(h) = -5*h**2 - 2*h. Let m(r) = 170*r - 1. Determine x(m(n)).
-144500*n**2 + 1360*n - 3
Let g(t) = -t**2. Let l(j) be the third derivative of -j**4/24 - 7*j**3/6 + 2*j**2 + 11. Calculate l(g(d)).
d**2 - 7
Let t(k) = -21*k. Let p(z) = 23*z. Give t(p(o)).
-483*o
Let z(l) = l. Let a(m) be the first derivative of -40*m**3/3 + 16. Determine z(a(v)).
-40*v**2
Let j(u) be the first derivative of 2*u**3/3 + 19. Let c(h) be the second derivative of h**4/3 - 2*h. Give j(c(y)).
32*y**4
Let y(w) = -7*w**2 - 4*w. Let f(d) = 12*d**2. Determine y(f(l)).
-1008*l**4 - 48*l**2
Let h(q) = 155*q**2 - 35*q. Let s(y) = 13*y**2 - 3*y. Let m(i) = -6*h(i) + 70*s(i). Let o(a) = 2*a. Give m(o(x)).
-80*x**2
Let s(q) = q. Let l(n) be the second derivative of -5*n**4/8 + 2*n**2 + 4*n. Let k(p) be the first derivative of l(p). Give k(s(v)).
-15*v
Let p(l) = -13*l. Let r(a) = 6*a - 4. Let x(q) = 24*q - 18. Let b(o) = -9*r(o) + 2*x(o). Calculate p(b(u)).
78*u
Let u(g) = -g. Let y(s) = 2106*s. Give y(u(z)).
-2106*z
Let u(o) = -9*o. Let w(z) = z**2 - 1. Let t(f) = 10*f**2 - 12. Let v(c) = -t(c) + 12*w(c). What is u(v(g))?
-18*g**2
Let d(f) be the first derivative of 0*f**2 - 2/3*f**3 + 0*f - 1. Let b(g) = -3*g. Calculate b(d(v)).
6*v**2
Let q(t) = 184*t**2. Let l(j) = 42*j**2. Determine q(l(x)).
324576*x**4
Let v(t) = t. Let l(r) = 51 + 8*r**2 - 51. What is v(l(x))?
8*x**2
Let s(a) be the first derivative of 2*a**3/3 - 4. Let z(f) be the first derivative of f**2 - 3. What is s(z(p))?
8*p**2
Let m(o) = -26*o. Let t(a) = -2*a. Determine t(m(q)).
52*q
Let j(o) = 2*o. Let d = 8 + -13. Let z(l) = -4*l - 2. Let f(x) = -x + 9*x - x + 2*x + 5. Let y(b) = d*z(b) - 2*f(b). Determine y(j(c)).
4*c
Let p(o) = -60*o**2 + 25*o + 25. Let i(x) = -5*x**2 + 2*x + 2. Let v(b) = -25*i(b) + 2*p(b). Let t(a) = -4*a**2. Calculate t(v(g)).
-100*g**4
Let k(w) = -w + 8. Let x(z) = 3*z - 4. Let n be x(3). Let r be k(n). Let i(h) = -r*h + 7 - 7. Let c(y) = y**2. What is c(i(l))?
9*l**2
Let f(r) = -r**2 - 2*r + 8. Let x be f(-4). Let j(p) be the second derivative of x*p**3 + 0*p**2 - 1/12*p**4 + 0 + 3*p. Let w(b) = -2*b. Determine w(j(l)).
2*l**2
Let p(h) = -1129*h. Let w(q) = 2*q. Give p(w(z)).
-2258*z
Let u(h) = -4*h**2. Let m(w) = -w**2. Let s(q) = -6*m(q) + 2*u(q). Let a(l) be the first derivative of -8*l**3/3 - 2. Give s(a(o)).
-128*o**4
Let k(w) = -w**2 - 2*w**2 - 22*w + 22*w. Let u(d) = d - 2. Let x be u(5). Let j(s) = -2*s + 3 - x. What is k(j(y))?
-12*y**2
Let c(s) = -2*s**2 - 7*s. Let d(v) = -2*v. Determine d(c(a)).
4*a**2 + 14*a
Let x(t) be the first derivative of t**2 - 5. Let i(w) = -11*w**2. Give i(x(f)).
-44*f**2
Let g(l) = -l**2. Let y(c) be the first derivative of -2*c**3/3 - 5. Determine y(g(i)).
-2*i**4
Let n(z) = 140*z**2. Let w(g) = -6*g. Calculate w(n(x)).
-840*x**2
Let v(t) = -t + 3. Let l be v(3). Suppose -f = -l*f. Let b(g) = f*g + 3*g + 0*g. Let m(s) = 2*s. What is b(m(o))?
6*o
Let n(z) be the second derivative of z**4/24 - 3*z**2 - 4*z. Let f(u) be | {
"pile_set_name": "DM Mathematics"
} |
*l, -1971*x + 1974*x + 2*l = 2 for x.
4
Solve -5*c = -4*x + 13, -2*x = 5798*c - 5802*c - 14 for x.
-3
Solve -4*f = -4*w - 12, 0 = 5*w + 530*f - 529*f - 15 for w.
2
Solve 0 = 3*b + 57, -3*w - 277 = -b - 290 for w.
-2
Solve -2*r - 3*q = 8, 9*q = 6*q for r.
-4
Solve 2*f + 30 = -5*q, 5*f + 52 = 688*q - 689*q for f.
-10
Solve -8*h = -4*q - 2*q + 3*q - 132, 60 = 4*h - 3*q for h.
18
Solve -13 = s - 2*m, -3*m + 37 = 47*s - 45*s for s.
5
Solve -749*s = -4*q - 750*s, 34 = -q + 4*s for q.
-2
Solve 43 = d - 33*f + 38*f, 52*d - 2*f - 140 = 0 for d.
3
Solve 8*g - 105 = 5*o, o + 248 = 4*g + 203 for o.
-5
Solve -j + 13 = -4*h, -2*j + 4*h + 32 - 22 = 0 for j.
-3
Solve -1696*k - 87 = -1694*k - 5*s, -6*s = -4*k - 98 for k.
4
Solve -2*n = 4*k - 2324 + 2356, 4*n + 3*k + 69 = 0 for n.
-18
Solve 0 = -3*c + 85*z - 86*z - 9, -3*c + z - 3 = 0 for c.
-2
Solve 4*g - 39 = -3*v, -v + 33*g = 28*g + 44 for v.
1
Solve 6008*t - 4*q = 6004*t - 108, 3*t + 4*q = 94 for t.
-2
Solve m + 1521 = -5*y + 1526, 2*y - 3*m = -15 for y.
0
Solve 4*q = -2*v - 16, -v + 59*q - 4 = 60*q for v.
0
Solve -p - 5 = 0, -35*p + 30*p = 2*c + 35 for c.
-5
Solve -y = 4*p + 68 - 86, 0 = -5*p - 5*y + 30 for p.
4
Solve 2*s - 4061 = 2*r - 4045, -3*r = -2*s + 17 for r.
-1
Solve 0 = -6*q + i - 131 + 106, 0 = -i + 7 for q.
-3
Solve -3*p - 16 = 4*z, 0 = -z + p + 6 - 3 for z.
-1
Solve -60*h + 63*h + 12 = 2*g, -g + 4*h + 11 = 0 for g.
3
Solve 0 = 3*k - 15*z + 12*z - 15, -z - 9 = 0 for k.
-4
Solve 40*y + 4 = -4*h + 44*y, -410 = 2*h - 104*y for h.
3
Solve 5*s - 5*f = 60, -s - 5218*f - 15 = -5216*f for s.
3
Solve -63*g = -4*p - 58*g + 17, 6*p + 4*g = 14 - 0 for p.
3
Solve 2*y - 14 = -r, -35*y + 31*y = -2*r - 36 for r.
-2
Solve 5*t + 67 = 52, 4*t + 12 = 8*a for a.
0
Solve -y = 4*b + 24, -5 = -3*y + 385*b - 386*b for y.
4
Solve -p - 20*q + 14 = -24*q, 8*p = -3*q + 7 for p.
2
Solve -513*u - 3*h = -508*u + 10, 5*h = u + 2 for u.
-2
Solve x - 20 = 53*m - 48*m, 0 = -x - 3*m - 20 for x.
-5
Solve 44*d - 49*d + 7 = -4*x, -5 = -d + 2*x for d.
-1
Solve 5*p - 5*y - 95 = 0, -2*y + 46 = -10551*p + 10553*p for p.
21
Solve m - 2 = 3*z, 5*z + 318 = -4*m + 292 for m.
-4
Solve -3*x + 9 = 307*m - 296*m, -4*x - m = -12 for x.
3
Solve 15 = 4*a + i, -1701*i = -3*a - 1698*i + 30 for a.
5
Solve 3*x + 4 = -h, 3*h + 59 = -7*x + 111 - 58 for h.
5
Solve -4*x = -5*p + 6, 14 = -3*x - 305*p + 304*p for x.
-4
Solve -20*z + 19*z = -g + 4, -5*g = 3*z + 20 for g.
-1
Solve -6 = 2*k + 2*x, -24 = 5*k - 2*x - 65 for k.
5
Solve 827*h - 823*h = -4*d - 16, 3*h - d + 28 = 0 for h.
-8
Solve -11 = -3*q + 11*n - 6*n, 0 = -5*q - 4*n - 31 for q.
-3
Solve -20*h - 21*l + 91 = -22*l, -5*l + 65 = 4*h for h.
5
Solve -2*s = -4, -77*s + 76*s - 22 = -8*g for g.
3
Solve 1410*z = 1409*z - 5*l - 3, -2*l = 5*z + 15 for z.
-3
Solve 0*j - 6 = 2*j, 3*w + 7*j = -12 for w.
3
Solve -2*n + 3*g = 21, 0 = -3590*g + 3589*g + 7 for n.
0
Solve -b + 111 = 2*z + 124, -4*z - 6*b = 38 for z.
-5
Solve -117*p + 112*p = h - 53, 3*p = 4*h + 41 for p.
11
Solve 671*s - 27 = 2*v + 668*s, 4*v = 2*s - 34 for v.
-6
Solve -2*g = z - 12, g - 9 = -z - 1 for g.
4
Solve 4*k + 16 = -5*l, 87*k - 19*l - 79 = 84*k for k.
1
Solve -347*k + 29 = -3*o - 342*k, 3*o + 13 = k for o.
-3
Solve 612 = -2*c + o + 621, 5*c = -2*o for c.
2
Solve 108 = 18*t, 3*t = -2*p - t + 5*t + 4 for p.
5
Solve 0 = -m - l + 3, -2*m - 22 = -24*l + 22*l for m.
-4
Solve 4*j - 216 = 4*s - 168, -2*s = -4*j + 28 for j.
2
Solve 2*d = -5*q - 62, -5*q - 65 = 13*d - 8*d for q.
-12
Solve -t = 3*q + 7, 22*t - 19*t + 21 = 4*q for t.
-7
Solve 187*t + 4 = 4*o + 191*t, 7*o - t = -33 for o.
-4
Solve 44*s + 2*l = 48*s + 10, 2*s - 13 = -5*l for s.
-1
Solve -5*y - 5*u = 0, 3*y - 2*u = -y - 12 for y.
-2
Solve 0 = g - 5*p - 18, -89*g + 2*p + 18 = -85*g for g.
3
Solve 5*u = -2*r + 24, -8*r = 3*u - 10*r - 8 for u.
4
Solve 5*c + 6716 = 3*q + 6684, -c - 8 = -q for c.
-4
Solve u - 3 = 5*g, 162*g = 154*g - 3*u - 14 for g.
-1
Solve -79*n + 84*n = -3*c + 19, -2*c = 10*n - 26 for n.
2
Solve -13 + 17 = 5*v + 2*t, -3*t = 4*v - 13 for v.
-2
Solve 0 = -5*y - 2*x + 17, 0 = 100*y - 89*y - 2*x + 1 for y.
1
Solve -5*l + 5 = 0, 29 = 5*j - l + 50 for j.
-4
Solve -8*o - 16 = 2*r, 386*o = 385*o + 3*r - 2 for o.
-2
Solve 8*w - 7*w + t + 30 = 0, -6*w - t = 45 for w.
-3
Solve 4*k - 51 = -5*l - 67, -8 = 2*k - 5*l for k.
-4
Solve 4*c + 30 = -5*b + 6*c - c, 0 = 3*b + 4*c - 5 for b.
-5
Solve h - 4*t - 12 = 0, -h - 2*t - 1355 = -6*h - 1367 for h.
-4
Solve 0 = -3*h - l - 97 + 92, -2*l - 32 = -5*h for h.
2
Solve -y = 2*n - 14, 4894 = -4*n + 3*y + 4932 for n.
8
Solve 211*l = 208*l - 2*n - 1, -74*l = -5*n + 79 for l.
-1
Solve -2*q = 5*t - 21, -11*t = -9*t + 2*q - 6 for t.
5
Solve 5*i + 2*f + 11 = 0, 158*i - 155*i - 4*f = 61 for i.
3
Solve -35*d + 39 = -32*d + 6*r, -d = -4*r + 5 for d.
7
Solve -2*y = 3*b + 12, 5*y - 1199 + 1206 = 4*b for b.
-2
Solve -p + 10 = k, 0 = 17*k - 21*k - 2*p + 44 for k.
12
Solve 4*q - 11*n + 16*n + 11 = 0, q - n + 5 = 0 for q.
-4
Solve 290*k - 2*w = 287*k, 0 = -2*k - w for k.
0
Solve -4*v = -10*n - 144, 3*v - 3403 = -5*n - 3470 for n.
-14
Solve 304*h = -d + 300*h + 12, 123*d - 486 = 3*h for d.
4
Solve 136*b - 139*b + 6*x - 51 = 0, 4*x - 10 = 2*x for b.
-7
Solve -304*o + 299*o + 3*b - 54 = 0, -3*b = 5*o + 36 for o.
-9
Solve -1 = -3*a + m, 366*m - 370*m - 4 = -2*a for a.
0
Solve 4*v = -v + 7*f - 80, -4*v - f - 31 = 0 for v.
-9
Solve d - 2356*c + 2354*c = -6, 13*d + 15 = 5*c for d.
0
Solve 5*y + 115 = 35*g, -2*g - 26 + 34 = 0 for y.
5
Solve 4*c + 4 = 6*v, -2*v - 17 + 7 = 7*c + 22 for c.
-4
Solve 2*q - 198 = 6*s, 4*s + 88 = 2*q - 44 for s.
-33
Solve 58*o + 2*j = 57*o - 15, o - 17 = 2*j for o.
1
Solve 16*w = -3*u + 7 + 36, -2*u = -5*w - 13 for u.
9
Solve 5*i + 195*o = 200*o - 60, 4*i + 46 = 3*o for i.
-10
Solve 4*q = 3*x + 5, 307*q - 309*q = 2*x - 20 for q.
5
Solve 53 = -3*y + 5*v, 393*y + 2*v = 398*y + 82 for y.
-16
Solve 2*o - 5*o + 10 - 16 = 0, -p + o = 1 for p.
-3
Solve -1 = 22699*d - 22698*d - 5*w, -2 = 2*d - w for d.
-1
Solve -2*f + 742 = -5*p + 757, 2*f - p = -11 for f.
-5
Solve 13 = -d, -706*j + 690*j - 3*d - 103 = 0 for j.
-4
Solve 3*c - 2130 = -2142, -2*m + 14 = -5*c for m.
-3
Solve -i = 5*g - 8135 + 8157, 0 = -2*g + 2*i - 16 for g.
-5
Solve 3*m - x + 9653 = 9645, -28 = 3*m + 4*x for m.
-4
Solve -5*h - 2*m = 0, 42*m = 2*h + 43*m + 1 for h.
2
Solve 0 = -3*o + 5*l + 7043 - 7080, -l + 17 = -3*o for o.
-4
Solve 3*o = -f - 7 + 18, 0 = 4*o - 6*f - 22 for o.
4
Solve 3*r - 6*r = -3*d + r + 60, -3*d + 72 = -5*r for d.
4
Solve 2*p - 52 = s - 49, -3*p = 0 for s.
-3
Solve 10 = 2*f - 3*t, 0 = 4692*f - 4691*f + 4*t + 28 for f.
-4
Solve -4*r + w = 16, -4*w - 26 = -1254*r + 1256*r for r.
-5
Solve 2*x + 2304*l = 2309*l - 29, -x = 4*l - 5 for x.
-7
Solve 0 = -3*g + 2*z - 1, 4 = 3*g + 4*z - 7 for g.
1
Solve 118*r - 4*m + 14 = 117*r, 3*r - 14 = -2*m for r.
2
Solve -4*p + 1339*d + 37 = 1334*d, 0 = p + 6*d - 2 for p.
8
Solve -2*g + 21 = 2*d + 5, -3*d = -5*g + 16 for g.
5
Solve w + 84 - 89 = 0, -55 = -2*x - 9*w for x.
5
Solve 0 = -3*z + 3*p, -1131*z + 10 = -1132*z - p for z.
-5
Solve 2*t + 2*p + 44 = 0, -3704*t + 3703*t = -2*p + 16 for t.
-20
Solve -9*y - 36 = 3*c, -y - 17 + 13 = -2*c for c.
0
Solve 2*n = v + 10, -3*v - 21520 = -2*n - 21506 for v.
-2
Solve 0 = 4*b - 2*k - 44, -674*b + 673*b + 14 = k for b.
12
Solve 15 = 5*s - 3*c, -487 = 5*c - 462 for s.
0
Solve 2016*r - 6*q = 2009*r - 122, -83 = 4*r + q for r.
-20
Solve -4*p - 536*d - 28 = -537*d, p + 26 = 5*d for p.
-6
Solve 2*x - w - 4 = 0, -4 = -103*w + 105*w for x.
1
Solve -5*p - 39 = 2*c, -3*p + 478 = 4*c + 507 for c.
-2
Solve -4*k + 25 - 57 = -5*t, 0 = -3*k - 5*t + 11 for k.
-3
Solve 5*x + h + 12 = 0, -2*x - 63 + 65 = -3*h for x.
-2
Solve -r - 16 = -3*w, 3*w = 5*r + 74 - 42 for r.
-4
Solve g = 6*g + 15, 4*w + 5*g - 5 = 4*w + 4*w for w.
-5
Solve 3*o + 10*p - 41 = -0*o, o + 3*p = 12 for o.
-3
Solve 0 = 3*i - 3*n + 18, 220*n - 223*n = -6*i - 24 for i.
-2
Solve -y + 7*x - 4*x = -6, -5*y - 2*x - 131 = -144 for y.
3
Solve -3*c = 19855*f - 19851*f + 17, 3*f + 3 = c for f.
-2
Solve -4*g + 9 = -22*u + 25*u, 3*g + 9 = 3*u for g.
0
Solve -3*j + 30 = -p, 5*p + 5 = -3*j + 35 for p.
0
Solve 2*j = 3*f + 20, -47*j - 13 = -42*j + 3*f for j.
1
Solve 3*p - 25809*g - 10 = -25808*g, -4*p + 20 = 2*g for p.
4
Solve -4*q + 32 = -4*k, -3*k - 14 = 6* | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence pppu?
11/646
Two letters picked without replacement from {o: 2, b: 1, p: 1, e: 1, l: 1, m: 1}. Give prob of sequence le.
1/42
Two letters picked without replacement from {d: 12, z: 1, x: 3}. Give prob of sequence dx.
3/20
What is prob of sequence xxox when four letters picked without replacement from {x: 3, o: 2}?
1/10
What is prob of sequence hown when four letters picked without replacement from {n: 3, j: 1, w: 2, o: 5, k: 1, h: 8}?
2/969
Calculate prob of sequence cxsc when four letters picked without replacement from cbscsbxxsbsbs.
1/858
What is prob of sequence aaab when four letters picked without replacement from {b: 6, a: 6}?
2/33
Three letters picked without replacement from zdzztxxxrmdxxmrxzxxd. Give prob of sequence zrt.
1/855
Two letters picked without replacement from {y: 1, r: 1, l: 7}. Give prob of sequence rl.
7/72
What is prob of sequence ca when two letters picked without replacement from azbzabazhbbucuz?
1/70
What is prob of sequence klkk when four letters picked without replacement from {l: 1, c: 5, f: 1, k: 5}?
1/198
What is prob of sequence lcg when three letters picked without replacement from {h: 2, l: 7, g: 3, c: 5}?
7/272
What is prob of sequence lwff when four letters picked without replacement from iiiwwwfwwlifgfiiwff?
5/3876
What is prob of sequence ulu when three letters picked without replacement from {m: 3, h: 4, u: 2, p: 3, l: 1, r: 2}?
1/1365
What is prob of sequence mk when two letters picked without replacement from eyymeekttti?
1/110
Calculate prob of sequence nnxv when four letters picked without replacement from xnexnxv.
1/140
What is prob of sequence css when three letters picked without replacement from {s: 2, c: 3}?
1/10
Two letters picked without replacement from {q: 2, b: 11, e: 2, a: 1}. Give prob of sequence ba.
11/240
Two letters picked without replacement from qwqqwwwqqwqwqgwqwwq. What is prob of sequence qg?
1/38
What is prob of sequence yjy when three letters picked without replacement from eeeeeeeyeyejeeey?
1/560
Four letters picked without replacement from niniionnnoninn. What is prob of sequence iiin?
8/1001
Four letters picked without replacement from {q: 3, k: 3, g: 2, y: 8}. What is prob of sequence gkgq?
3/7280
Four letters picked without replacement from {v: 2, q: 5}. Give prob of sequence qvvq.
1/21
Calculate prob of sequence gnn when three letters picked without replacement from fgfrfrrnrrrfrfnfrf.
1/2448
What is prob of sequence gcg when three letters picked without replacement from {c: 2, g: 3}?
1/5
Calculate prob of sequence pd when two letters picked without replacement from {g: 4, r: 1, n: 2, d: 1, u: 3, p: 1}.
1/132
Two letters picked without replacement from {n: 2, v: 4}. What is prob of sequence vv?
2/5
Three letters picked without replacement from tltttttdttttdldtt. Give prob of sequence dll.
1/680
Three letters picked without replacement from {z: 1, q: 1, o: 5, h: 5, b: 2, x: 1}. What is prob of sequence hqx?
1/546
Four letters picked without replacement from {u: 9, t: 7}. What is prob of sequence uuuu?
9/130
What is prob of sequence vchz when four letters picked without replacement from zmzqqvch?
1/840
Three letters picked without replacement from {f: 4}. Give prob of sequence fff.
1
Calculate prob of sequence cfx when three letters picked without replacement from {x: 5, f: 1, c: 7}.
35/1716
What is prob of sequence qqo when three letters picked without replacement from qqoojqojooq?
2/33
Two letters picked without replacement from kqqzgk. What is prob of sequence gk?
1/15
Four letters picked without replacement from {p: 1, v: 2, k: 1, h: 1, m: 1, e: 1}. Give prob of sequence pmve.
1/420
Two letters picked without replacement from uegbkkktktbu. Give prob of sequence ub.
1/33
Calculate prob of sequence gga when three letters picked without replacement from kxagdxg.
1/105
Four letters picked without replacement from aaahuaahahihajhhh. What is prob of sequence haij?
7/8160
Four letters picked without replacement from rrggggggrrgqq. Give prob of sequence rrrr.
1/715
Four letters picked without replacement from {q: 1, x: 2, s: 1, c: 2, e: 1}. Give prob of sequence ecqc.
1/420
What is prob of sequence jdb when three letters picked without replacement from {b: 1, g: 4, d: 1, j: 2}?
1/168
What is prob of sequence uu when two letters picked without replacement from iuddaxxfiuxid?
1/78
What is prob of sequence rc when two letters picked without replacement from {i: 1, v: 1, b: 1, c: 1, r: 1}?
1/20
Calculate prob of sequence vjc when three letters picked without replacement from cvvjvvvjvcjvcjvc.
4/105
Two letters picked without replacement from xmxbixbmfxki. Give prob of sequence bx.
2/33
Calculate prob of sequence oou when three letters picked without replacement from ouuuuuuouuuu.
1/66
Two letters picked without replacement from gggggxggggggggg. Give prob of sequence xg.
1/15
What is prob of sequence yf when two letters picked without replacement from {f: 3, y: 16, t: 1}?
12/95
Two letters picked without replacement from {t: 3, w: 1, d: 3}. What is prob of sequence tt?
1/7
Four letters picked without replacement from ejrjjermmmjerrrjreme. What is prob of sequence mjjr?
4/969
Two letters picked without replacement from gmeg. What is prob of sequence eg?
1/6
Two letters picked without replacement from {h: 4, z: 1, n: 1, m: 2}. Give prob of sequence mn.
1/28
Four letters picked without replacement from {n: 2, g: 1, v: 3, w: 1}. What is prob of sequence nnvw?
1/140
Two letters picked without replacement from {k: 4, a: 1, u: 5, n: 2, o: 2}. Give prob of sequence oo.
1/91
What is prob of sequence ke when two letters picked without replacement from {e: 4, k: 3}?
2/7
Three letters picked without replacement from {c: 2, z: 2, e: 3, l: 2}. Give prob of sequence ecz.
1/42
Three letters picked without replacement from {q: 2, b: 1, k: 1, s: 1, v: 2, m: 1}. What is prob of sequence vqs?
1/84
Calculate prob of sequence et when two letters picked without replacement from {w: 1, t: 1, h: 3, e: 2, f: 2, o: 3}.
1/66
What is prob of sequence qqnn when four letters picked without replacement from nqnnnnnnnnnnnnnnnnqn?
1/190
What is prob of sequence uuu when three letters picked without replacement from {w: 3, c: 1, u: 3, o: 6, j: 3}?
1/560
Four letters picked without replacement from vvvvvvccvvvv. Give prob of sequence cvvv.
4/33
Two letters picked without replacement from okokovvkovok. What is prob of sequence ok?
5/33
Three letters picked without replacement from wwwwspwspwshwswwswss. What is prob of sequence spw?
7/342
Three letters picked without replacement from wwsooz. Give prob of sequence zoo.
1/60
Two letters picked without replacement from {x: 1, c: 1, i: 2, e: 1, r: 1, b: 1}. What is prob of sequence ir?
1/21
Four letters picked without replacement from xvxxvvxx. Give prob of sequence vvvx.
1/56
What is prob of sequence zkkc when four letters picked without replacement from {r: 3, m: 6, k: 5, z: 2, c: 2}?
1/918
Two letters picked without replacement from daddddddadddddddddd. What is prob of sequence aa?
1/171
Two letters picked without replacement from hddaaahadd. Give prob of sequence ad.
8/45
Three letters picked without replacement from svsssvv. What is prob of sequence svv?
4/35
Calculate prob of sequence dd when two letters picked without replacement from {x: 2, d: 4}.
2/5
Calculate prob of sequence np when two letters picked without replacement from {k: 3, p: 1, n: 1}.
1/20
What is prob of sequence ffx when three letters picked without replacement from xfxxfex?
4/105
Four letters picked without replacement from jjjjtsjjjtjstjjt. Give prob of sequence tsss.
0
What is prob of sequence ff when two letters picked without replacement from {y: 4, i: 1, k: 4, f: 4, b: 1, c: 3}?
3/68
Two letters picked without replacement from {b: 6, j: 7}. What is prob of sequence bj?
7/26
Three letters picked without replacement from wyllwwywwy. Give prob of sequence lly.
1/120
Calculate prob of sequence ppp when three letters picked without replacement from {p: 13, x: 3}.
143/280
Two letters picked without replacement from ivpmmiimmirpmrmvv. Give prob of sequence mr.
3/68
Calculate prob of sequence ek when two letters picked without replacement from {e: 1, l: 2, k: 7}.
7/90
Fou | {
"pile_set_name": "DM Mathematics"
} |
ond smallest value? (a) 2/7 (b) x (c) -45
b
Let b = -405.35 - -392. Let h = -14 - b. Let x = h - -0.25. What is the smallest value in 0.16, x, 0?
x
Let m be (-22)/18 + 1 - 4256/(-19665). Which is the smallest value? (a) -3 (b) m (c) -2
a
Let w = -1545.7 - -1725. Let n = -179 + w. Which is the second smallest value? (a) 0.14 (b) -3/5 (c) n (d) -0.5
d
Let u be 222/42 + 30/(-2 + -4). What is the third smallest value in u, 3, 13.2, 0.1, -2/13?
u
Let r = -9 - -103. Let t = -6592/3 - -2290. Let x = t - r. Which is the smallest value? (a) 2 (b) x (c) 3/4
b
Let j = -244.002 + 244. Let s = 0.174 - -2.828. Let m = j + s. Which is the third biggest value? (a) 0.03 (b) -3 (c) m
b
Let n = -744.92 - -745. Let x = 353 - 352. Which is the third biggest value? (a) n (b) x (c) -3 (d) -0.5
d
Let m(o) = 4*o - 127. Let w be m(30). Let l be (-7)/((-7)/(-4))*w/42. Which is the second biggest value? (a) 5 (b) -4 (c) l (d) 0
c
Let v = -67/302 + -42/151. What is the biggest value in 4, 3/5, v, 2, -3/2?
4
Let d = 8731 + -8897. What is the third biggest value in 4, -1, d?
d
Let p = 14.86 - 15.86. What is the third biggest value in p, 0.3, -2/23, -30, -1/6?
-1/6
Suppose -4*u + 1365 = u. Let x be (-264)/10 + (-160)/(-400). Let q be 128/21 + x/u. What is the third biggest value in -4, 0.3, q?
-4
Suppose 194*n = 573 + 13 + 384. Which is the biggest value? (a) 83 (b) n (c) -17
a
Let j = -35.73 - -36. Let y = -3.73 - j. Let x = 9.42 - 11.42. Which is the biggest value? (a) y (b) 3/5 (c) x
b
Let s(v) = 6*v**2 - 4*v - 14. Let w be s(-3). Suppose -6*c + w = 40. Let f = -0.46 + 0.06. What is the biggest value in c, -1/5, f?
c
Let m = 235.02 + -235. Let w = -512 - -8702/17. What is the second smallest value in m, w, 0.05?
m
Let t be (1 - 0)*2/5. Suppose 2*c - 16 = -3*i + 3, -2*i = 4*c - 10. Suppose 4 = q + i. What is the third biggest value in -0.2, q, t?
q
Let t(j) = 3*j + 19. Let w be t(8). Let c = -218/5 + w. Let m be (19/(-57))/(8/30). What is the second biggest value in m, -1/3, c, -5?
c
Let d(i) = i**2 - 2. Let t be d(2). Suppose 4*y + 87 = t*v + 3, 0 = 3*y + 3. Let x be v/140 + ((-2)/(-7) - 0). What is the third smallest value in -6/13, 4, x?
4
Let u = -19.16 - -30.16. What is the fourth biggest value in u, 1, 7/5, 1/2?
1/2
Let w = 29969 + -29974. Let o = 13 - 22. Which is the third biggest value? (a) o (b) 2/9 (c) -2/15 (d) w
d
Let t = -30 - -33. Let l = 120 + -125. Which is the smallest value? (a) -2 (b) l (c) t (d) 1
b
Let x = 643/18 + -71/2. Let g = -0.164 + -9.836. Which is the third biggest value? (a) x (b) 0.5 (c) g
c
Let j = -135 + 309. Let m = 179 - j. Which is the second smallest value? (a) -1 (b) -2/11 (c) m (d) 2
b
Let y = -43.61 - -43.71. Which is the smallest value? (a) 2/27 (b) -10 (c) -4 (d) y
b
Let o = 59.1 - 59. Let f = 187 + -187.079. Let g = f + -0.321. Which is the biggest value? (a) -3 (b) g (c) o
c
Let g = 1.12 - 0.54. Let q be 6*4/16 + 7370/268*(-1)/5. Which is the second biggest value? (a) -2/5 (b) g (c) q (d) -2
a
Let w = 9 + 17. Let r = 0.60171 - 4.60171. Which is the biggest value? (a) -3/5 (b) w (c) r
b
Let c = 171 - 400. Let x = 232 + c. What is the second biggest value in x, -4, -11?
-4
Let t = 2420 + -2425. Let i = 31 + -93. Which is the third biggest value? (a) 1 (b) t (c) i (d) 0
b
Let v = 86.5 - 44. Let g = -276 - -319. Let p = g - v. What is the smallest value in p, -3, 4?
-3
Let g = 0.0696 - 3.0696. What is the fourth smallest value in 2/9, g, 2/21, -2/15?
2/9
Let q(g) = -g**3 - 4*g**2 - 5*g - 5. Let j be q(-2). Let x be ((-581)/(-21))/(1/j). What is the third smallest value in -2, x, 5, -5?
-2
Let j be ((-9)/(126/8))/((-54)/21). Let w = -22.1458 + 0.1458. What is the second smallest value in 0, w, j, 1?
0
Let x = -0.2 + 0.8. Let u = -2.6 + x. Let y = -14/3191 + -9461/25528. What is the biggest value in y, 0, u?
0
Let i = -0.20219 - -0.31219. Which is the third biggest value? (a) 0.4 (b) -4 (c) i (d) -7 (e) -0.5
e
Let l = 4711 - 4713. Let z = 7 + -6.7. What is the biggest value in l, z, -20, 0?
z
Let v = -50 + 42. Let u = 55 + -32. Let r = u + -43/2. Which is the smallest value? (a) r (b) v (c) 3 (d) -0.4
b
Suppose -116 = -4*q - 2*x, 0 = q + q + 4*x - 58. Suppose 5 = -0*n - 5*n + 2*d, 0 = -4*n - 5*d + q. Which is the biggest value? (a) n (b) -0.3 (c) -6
a
Let l = 1 - -4. Let b = 15/1037 + -1067/2074. What is the third smallest value in l, -5, b?
l
Let o = -20983/39 - -6990/13. What is the second biggest value in 0.2, o, 2/3, 0.1, -6/5?
0.2
Let z = 25.5853 - 9.5853. Let q = -7.7 + 8. Which is the second biggest value? (a) z (b) -3/5 (c) q
c
Let u = -112.61 - -116. Let i = 3.8 - u. Let y = i - 0.41. Which is the second biggest value? (a) 1 (b) 0.3 (c) y
b
Let c = 45/1259 + 6205/2518. Let s = -0.46 + 0.06. What is the fourth biggest value in s, -1, 0.12, c?
-1
Let x = 632.663 - 632. Let n = 5.663 - x. Which is the third biggest value? (a) 1/5 (b) n (c) 49
a
Let j = -0.91219 + 0.71219. Let u be (0 + -1)*(-5 - 0). Which is the third smallest value? (a) j (b) u (c) 10 (d) -2
b
Let s be 10 - 12 - ((-322)/105 - -1). Which is the third biggest value? (a) -50 (b) 0.3 (c) -1/3 (d) s
c
Let i = -10 + 11. Let p = i + -5. Let j = -0.015 + -0.285. Which is the smallest value? (a) p (b) j (c) 44
a
Let o = 0.188 + -0.388. Suppose -2*t - 3 = 5. What is the fourth smallest value in 0.26, -2, o, t?
0.26
Let t = 10.3 + -243. Let r = 233 + t. What is the second smallest value in 3/2, 0.18, r, -2/17?
0.18
Let r = 0.41 + -0.01. Let g = 4.4 - r. Let p = 10445 + -10444.9. What is the biggest value in 2/15, g, -0.6, p?
g
Let c = 0.04004 + -0.04004. What is the fourth smallest value in -121, c, 1, -2?
1
Let l = -2271 - -2276. What is the third smallest value in l, -0.086, -5?
l
Let v = 5717/205 + 21/41. Let t = -29 + v. Let s be ((-2 - 0) + -8)/2. What is the fourth smallest value in s, 5, -0.4, t?
5
Let v(z) = z**2 + 4*z - 7. Suppose 15*r + 8 = 14*r. Let i = r + 2. Let l be v(i). Which is the biggest value? (a) 2 (b) 4 (c) -6/11 (d) l
d
Let k = -0.03 - 0.27. Let j = 5340194/7 + -762885. Which is the fourth smallest value? (a) -3 (b) 0.2 (c) j (d) k
b
Let r = -40.94 - -41. Let d = r - 0.26. Let i = -31 - -30.9. Which is the smallest value? (a) i (b) -2.1 (c) d
b
Let s = 177.9 + -189. Let f = s - -10.1. Let w = 0.128 - 0.028. Which is the smallest value? (a) w (b) 1 (c) 5 (d) f
d
Let r = -0.3 + 4.3. Let f = -47 - -52. Let h = 10.95237 - -0.04763. What is the biggest value in r, -0.5, f, h?
h
Let f = -2.3 - -2.7. Let k be (24/(-60))/(147/45 - 3). Which is the biggest value? (a) k (b) f (c) -1 (d) -16
b
Let p = -2.99 + -0.01. Suppose 3*q = 5*g + 480, 4*q - 3*q = -5. Let t = 101 + g. Which is the second smallest value? (a) p (b) t (c) 4
b
Let c = 19609.9 - 19611. Let b = -0.27 + -0.03. What is the second biggest value in -5, 3, b, c?
b
Let s = 1.7 - 1.3. Let u = 3884 + -3887. Which is the third biggest value? (a) s (b) 4 (c) u
c
Let t = 2881 + -2880.8. Which is the second smallest value? (a) -930 (b) 1 (c) t
c
Let t(u) = 123*u + 2456. Let h be t(-20). Which is the smallest value? (a) -1/5 (b) -3 (c) 2/5 (d) -4.4 (e) h
d
Let k = -411 - -411.3. What is the third smallest value in k, 4.2, 28?
28
Let j = -138 + 142. Suppose j*d - 18 = -2*d. What is the third biggest value in 0.5, d, 73?
0.5
Let c = 24210.6 + -24211. Let l = -4.07 + 4. Let z = -6.9 + 7.4. What is the second smallest value in 1, l, z, c?
l
Let x = -4.98782 + -0.01218. What is the second biggest value in 2/19, 3, -2, x?
2/19
Let z = 6 - 4. Let q = 2503.6 + -2504. Which is the third biggest value? (a) 24 (b) z (c) -2 (d) q
d
Let s = -13 + 12.7. Let f be -21*(-13)/364 - 38/8. What is the second smallest value in s, -3, 0.1, f?
-3
Let h be (-1184)/370*5/(-4). What is the fourth biggest value in 2, 0.5, 21, h?
0.5
Let u be 9/24 - (-165)/440. What is the fourth biggest value in 2/19, u, -2/9, 9?
-2/9
Let i = 1311/17 + -77. Let k = 69.2 - 70. Let o = k - -0.6. What is the third smallest value in 3, o, i?
3
Let y = 7/232 - -109/232. Which is the biggest value? (a) -1 (b) y (c) 3
c
Let n be ((-15)/9)/(-27 - 663/(-34)). Which is the smallest value? (a) 4 (b) 15 (c) n (d) -10
d
L | {
"pile_set_name": "DM Mathematics"
} |
+ 2 + 6).
57*a
Expand -z - 43 + 2*z + 35 + z + 2*z + 0*z + (1 + 2*z - 1)*(2 - 2 + 2).
8*z - 8
Expand (2*c - 1 + 1)*(-c - 3*c - 2*c)*(5*c - 5*c - 6*c).
72*c**3
Expand 7*v**3 + 13*v**3 - 6*v**3 + (0*v + 0*v - v)*(-1 + 1 - 2*v**2) - v**3 + 7*v**2 - 7*v**2.
15*v**3
Expand (1 - 16 - 23)*(-2 + 2*t + 2).
-76*t
Expand ((0 + 4 - 3)*(-2 + 2 - l) - 4*l + l + 2*l)*(-6*l + l + 3*l)*(198*l**3 - 575*l**3 + 1642*l**3).
5060*l**5
Expand -5 + 5 - 4*p + 0*p - 5*p + 3*p + 5*p - 3*p - 5*p + 4 - 2*p - 4 + (-1 - 1 + 0)*(3 + p - 3).
-13*p
Expand -45*y - y**2 - y**2 + 44*y - 2 + (-y + 0 + 0)*(y + 2 - 2).
-3*y**2 - y - 2
Expand (0*f - 2*f + 5*f)*(-16 - 32 - 76).
-372*f
Expand -35 + 3*s + 35 + (-5 + 7 + 2)*((2*s - s - 2*s)*(-3 - 1 + 3) - 3*s - 5*s + s).
-21*s
Expand -8*r**5 + 14*r**5 - 7*r**5 - 2*r**4 + 2*r**4 - 14*r**5 + (r**4 + 2*r**4 - 2*r**4)*(2*r - 2*r + 2*r).
-13*r**5
Expand 2*r**5 - r**5 + 2*r**5 + (-2*r**5 - r**5 + 5*r**5)*(-1 + 3 + 1) - 8*r**5 + 9*r**5 + 15*r**5.
25*r**5
Expand -10*c - 6*c - 12*c + 2*c - 3*c + 0*c - 2*c - c + 2*c + (3 + 3 - 5)*(-4*c + 0*c + 2*c) + 2*c - 3*c + 0*c - 11*c + 0*c + 26*c.
-18*c
Expand -250 - 237 - 109*x**4 + 489 + 5*x**4 - 2*x**4 - 2*x**4 + (0*x - 4*x + 2*x)*(x**3 + x**3 - x**3) + 1 - 2*x**4 - 1.
-112*x**4 + 2
Expand (205*a + 7*a**3 - 205*a + 2*a**2)*(4*a - 4 + 4).
28*a**4 + 8*a**3
Expand (-5 + 3 + 3)*(-2 + 2 + l) + 0*l + 2*l + l + (-11 + 0 - 2)*(-2*l - 3 + 3).
30*l
Expand -3*h + 3*h + h**3 + (0*h**2 + 5*h**2 - h**2)*(0 + 2*h + 0) - 2*h**3 + 15*h**3 + 7*h**3 + (-h + 3*h - 4*h)*(1 + 2*h**2 - 1).
25*h**3
Expand (-2005*j + 421*j**3 + 2005*j)*(-3*j + 3*j + j) + 3 - 2*j**4 - 3.
419*j**4
Expand -704*f - 710*f + 55 + 1415*f + (0 - 1 - 1)*(-2*f + 0*f + 4*f) - 2*f + 3*f - 2*f.
-4*f + 55
Expand -3 + 3 + 3*i**4 + (-i**2 + 4*i**2 - i**2)*(2 - 2 - 2*i**2) + (5 - 21 + 7)*(3 + i**4 - 3) - 3*i**4 - 3*i**4 - i**4.
-17*i**4
Expand 4*l - l - l + 5*l - 2*l - l - 2*l - 5*l + 5*l + 0*l + 0*l - l + (1 - l - 1)*(1 + 3 - 2).
-l
Expand 0*q - 4*q + 2*q + (-5*q + 3*q + 3*q)*(-5 + 4 + 0) + (-9*q - 7*q + 2*q)*(-2 + 5 + 3).
-87*q
Expand (-5*q + 4*q + 0*q)*(-27 - 27 - 85) - q - 5*q + 5*q.
138*q
Expand (0 - 18*m + 1698*m**2 - 1701*m**2 - 5)*(0 + 3 - 2) + m**2 - 3*m**2 + 0*m**2.
-5*m**2 - 18*m - 5
Expand (102*b + 25*b + 60*b + 6*b)*(b**2 + 2*b**2 - 2*b**2).
193*b**3
Expand (5 + 92 - 35)*(3*w - 1 + 1).
186*w
Expand (t + 1 - 1)*(0*t**3 - 2*t**3 + t**3) + 0 + 0 + 2*t**4 + (-3*t + 0*t + 4*t)*(-3*t**3 + 2 - 2) + (64 + 70 - 30)*(-5*t**4 + 0*t**4 + 3*t**4).
-210*t**4
Expand (-4 - 3*y + 4)*(-8*y**2 - 26*y**2 - 6*y**2).
120*y**3
Expand (4*a**3 - 3*a**3 - 3*a**3 + 0*a**3 + 0*a**3 + a**3 - a**3 - a**2 + a**2 + (4*a - a - 2*a)*(3 - a**2 - 3) + 2*a**2 - 2*a**2 - 2*a**3)*(2*a + 8*a + 3*a).
-65*a**4
Expand l**2 + 0*l**2 + 6*l**2 + (3*l + 0 + 0)*(0*l - 2*l + 4*l) + (-3*l + l + l)*(5*l - 5*l + 2*l).
11*l**2
Expand (0*r - 2*r + 0*r)*(r**3 - 1 + 1) + (-2*r**2 + 2*r**2 + r**3)*((-6 + 0 + 0)*(-3*r + 7*r - 2*r) - 5*r + 2*r + r).
-16*r**4
Expand (3 + 3 - 3)*(0*w + 3*w - 2*w)*(-32*w**4 + 224*w**4 + 180*w**4).
1116*w**5
Expand (-2*o + 3*o + 0*o)*(o**2 - o**2 + 2*o**4) + 77*o**2 - 17*o**5 - 77*o**2 + (5*o - 5*o + 4*o**4)*(0*o - 2*o + 0*o).
-23*o**5
Expand (467 - 231 - 237 - 179*h)*(-4*h**4 + 2*h**4 + 3*h**4).
-179*h**5 - h**4
Expand (0 - 2 + 1)*(118 - 272 + 123)*(-4*g**3 + 3*g**3 - g**3 + (3*g - 3*g - 2*g**2)*(-g - 4 + 4) + g**3 + 2*g - 2*g).
31*g**3
Expand (38 - 16*b - 78 + 39 + (-b - 2*b + 4*b)*(-5 + 0 + 3))*(0 + 0 + b**2).
-18*b**3 - b**2
Expand (4*f**2 - 7*f + 7*f)*(234*f - 278 + 278).
936*f**3
Expand (-5 - 27 - 7)*(1 - 5*d - 2*d + 4*d)*(2*d - 3 + 3)*(-2*d + 4*d + 0*d)*(-4*d**2 + 4*d**2 + 3*d**2).
1404*d**5 - 468*d**4
Expand (-123 + 16*m + 123)*(3 + 4 - 3).
64*m
Expand (5 - 5 + 2*u)*(3*u**2 - 3*u**2 + u**3) - 22*u**4 - 15*u**4 + 27*u**4.
-8*u**4
Expand (0 + 0 - 3*z)*(-4 + 1 + 0)*(-6 - 8 + 6 + (-4 + 3 - 4)*(1 + 0 + 1)).
-162*z
Expand (2 + 2 + 5)*(21779 + 256*h - 21779).
2304*h
Expand (-n**4 + 0*n + 0*n)*(-51*n - 189*n - 69*n).
309*n**5
Expand -87 + 19 + 2*k - 3*k + k + 2*k - 4*k + (0 + 0 + 1)*(0*k + 2*k - 3*k) + k - k + k.
-2*k - 68
Expand (38 + 49 + 20 + 1)*(-6*f**4 + 5*f**4 - f**4).
-216*f**4
Expand (h - h**2 - h)*(2*h**3 - h**3 + 3*h**3) + 25*h**4 - 25*h**4 - 26*h**5.
-30*h**5
Expand -2*v**3 + 0*v + 0*v + (-v - 3 + 3)*(-20659 + 3*v + 20648 - v + 2*v**2).
-4*v**3 - 2*v**2 + 11*v
Expand (-1 - 3 - 2)*(1 - 1 - 3*k**2)*(-28 - 32 + 48*k**3 + 58).
864*k**5 - 36*k**2
Expand (-114 - 47 - 170 - 35)*(-2*m**2 + m**2 + 3*m**2).
-732*m**2
Expand -2*s**4 - 4*s**4 + 4*s**4 + 2*s**4 - 4*s**4 + 0*s**4 + (3 + 4*s - 3)*(-s**3 - 3*s**2 + 3*s**2) + 0*s**4 + 4*s**4 + 2*s**4.
-2*s**4
Expand -12*g**3 + 22 - 22 + (6 - 3*g - 6)*(2*g**2 - g**2 - 2*g**2).
-9*g**3
Expand ((2 - 2*n - 2)*(5*n - 4*n - 3*n) - 6*n**2 + 3*n**2 + n**2)*(43 + 37 - 12).
136*n**2
Expand (10*f + 7*f - 6*f)*(-3*f**4 - f - f**4 - f).
-44*f**5 - 22*f**2
Expand (13*i**2 - 4 + 4)*(-316 - 16*i + 316).
-208*i**3
Expand (2*g - 3 + 3)*(-1564*g + 781 - 781).
-3128*g**2
Expand (-2 + 1 + 2)*(-339*u - 195*u + 161*u).
-373*u
Expand (37*y - 86*y - 51*y - 93*y)*(57*y**2 - 61*y**2 - y - 3*y).
772*y**3 + 772*y**2
Expand (2*k + 0*k + 3 - 4*k)*(-7*k**2 + 2*k**2 - 10*k**2) + 0*k**3 + 0*k**3 + 4*k**3.
34*k**3 - 45*k**2
Expand (84 - 8*h - 84)*(-3*h**2 + 215*h - 215*h).
24*h**3
Expand (-s + 6 - 6)*(-263*s + 261*s + 563*s)*(-2*s**2 + 0*s**2 + s**2).
561*s**4
Expand (-4*o**3 + 4*o**3 + o**3)*(-1 + 2*o + 1) + o**4 - 4*o**4 + 0*o**4 + (-2*o**3 + 2*o**3 + o**3)*(o + 3*o - o).
2*o**4
Expand -2*c - 2 + 2 + (-11 + 0 - 1)*(2*c - 6*c + c).
34*c
Expand -4*y**4 + 3*y**4 + 0*y**4 + (2*y**4 - 4*y**4 - 2*y**4)*(-7 + 22 + 2) - y + y + 3*y**4.
-66*y**4
Expand (-3*o**3 + 3*o**3 - o**3)*(1 - 1 + 3)*(-9*o - 9*o + 53*o).
-105*o**4
Expand (6 - 2 - 9)*(-48*h + 14 + 15 - 30).
240*h + 5
Expand (1139*g + 1098*g - 2421*g)*((0 + 0 - 1)*(-1 + 1 + g) + 4*g - 4*g - g).
368*g**2
Expand (25 - 13 + 2)*(-6 + 4 + 5)*(g + 7*g - g).
294*g
Expand 3*q - 3*q + q**2 + (0*q + 2*q - 4*q)*(2*q - q + q) - 9*q + 0*q + 33*q - 2*q**2.
-5*q**2 + 24*q
Expand (0*k**2 + k**2 + k**2)*(0 + 0 + 2)*(-3*k + 4*k - 2*k) + (1632*k**3 - 1544*k**3 - 844*k**3)*(-4 - 2 + 4).
1508*k**3
Expand ((-3*u + 0*u + u)*(-5 + 5 + 2) + 4 - 4 + u - 1 + 2 - u + 2*u)*(0 + 0 - 4*u**2).
8*u**3 - 4*u**2
Expand (-3 - 3 + 7)*(61*t**2 - 1683 + 1683).
61*t**2
Expand (-2*c + 3*c - 2*c)*((-2 + 4 + 2)*(-2*c**3 + c**3 - c**3) + 2 + c**3 - 2) + 1371*c**3 + 75*c**4 - 1371*c**3.
82*c**4
Expand (j**2 - 7*j**2 - j**2)*(-3*j**3 - 8*j**3 + 0*j**3) + (-2*j**4 + 3*j**4 - 3*j**4)*(j + 2*j - j) + 3*j**5 + 0*j**5 - j**5.
75*j**5
Expand (2*a**2 + 3 - 3)*(0*a**2 - a**2 + 0*a**2)*(a + 3*a - 1 - 2*a) + (2*a**2 - 5*a**2 - 8*a**2)*(-3*a**3 + 0*a**3 - 3*a**3).
62*a**5 + 2*a**4
Expand (-1210 + 478 + 611)*(-s + 3*s + 0*s).
-242*s
Expand (3*k + 3*k**2 - 3*k)*(5*k - 25*k - 9*k)*(4 - 3 - 3).
174*k**3
Expand (-1 + 1 - 2)*(-253 - 7*b + 253) - b + 2*b + b + 2*b + 4*b - 4*b.
18*b
Expand (-2*z + 4 - 4)*(0 + 7*z - 1 - 2)*(-10 - 18 + 63).
-490*z**2 + 210*z
Expand (-3325 - 2824 + 6610)*(-k**3 + k**3 - 2*k**5).
-922*k**5
Expand (2 - 2 + i)*(-1 - 2 + 2)*(41*i**4 + 48*i**3 - 48*i**3).
-41*i**5
Expand (52 - 52 - l**2)*(l + 8*l**3 - 6*l**3 - 9*l).
-2*l**5 + 8*l**3
Expand (16 - 42 + 22)*(-2 + 4 - 3)*(5*x - 5 + 5).
20*x
Expand (-3*v**2 + 0*v**2 + v**2)*(10*v**2 - 4*v**2 + 3*v**2) + 0*v**4 - 2*v**4 + v**4.
-19*v**4
Expand -q**2 + 2*q**2 + 5*q**3 + 11*q**3 + (0*q + 0*q + q)*(5*q**2 - 2*q**2 + 8*q**2).
27*q**3 + q**2
Expand (4 - 3 + 0)*(-11*c**4 + 167*c**4 + 14*c**4) - 3*c**4 + c**4 + c**4.
169*c**4
Expand (0*g**2 + 2*g**2 - 3*g**2)*(-6*g**3 + 0*g**3 + 4*g**3) + 3*g**5 - 4*g**5 + 3*g**5 + 1122 + g**5 + 200*g**4 - 1122 - g**5 - 4 + 4.
4*g**5 + 200*g**4
Expand (-1 - 2 + 5)*(-4*u**4 + u**4 + 0*u**4) + u**4 - 5*u**4 + 2*u**4 + (4*u + 1 - 1)*(-173*u**3 + 387*u**3 - 148*u**3).
256*u**4
Expand -11*j**2 - 9 + j**2 + j**2 - 2*j**2 - j**2 + 4*j**2 + (-6*j + 4*j + 0*j)*(3*j - 6*j + 2*j).
-6*j**2 - 9
Expand (3 - 3 + 1)*(4*v - v - 2*v) - 4*v - 2*v + 2*v + (0 + 1 + 1)*(3*v + 2*v - 3*v) + v - 3*v + 0*v.
-v
Expand (-2*g**2 + 0 + 0 + (-1 - 3 + 3)*(-g**2 + 0*g**2 + 2*g**2))*(-2 - 1 + 5 + 3 + 0 - 1 + (-1 - 1 + 0)*(5 - 4 + 0) + 2 + 4 - 2)*(-7 - 8 - 2).
306*g**2
Expand (1 + 7 - 4)*(-2 + 1 - 1)*(-1 + 1 - 3*t**4 + | {
"pile_set_name": "DM Mathematics"
} |
y c?
18
Suppose 189 = 13*z + 7. Calculate the remainder when 69 is divided by z.
13
Calculate the remainder when -2 + (-8)/(24/(-171)) is divided by 12.
7
Let y = 36 + -90. What is the remainder when 37 is divided by (-552)/y - 4/18?
7
Let f(t) = t**2 + 6*t + 18. What is the remainder when f(-9) is divided by 24?
21
Suppose 28 = 2*v - 0*v. Let q be ((-70)/(-6))/((-1)/3). Let t = q + 89. What is the remainder when t is divided by v?
12
Let a be (0 - -19) + -1 + 0. Let w be 4/a + 68/18. Suppose -3*o - 4*b + 64 = 0, w*b = -b + 5. Calculate the remainder when o is divided by 11.
9
Suppose 8 = 5*s - 17. What is the remainder when 7 is divided by s?
2
Suppose s + 5*w + 0 = 6, -4*s - 3*w = -24. What is the remainder when 15 is divided by s?
3
Let c(g) = g + 9 - 3 + 0*g + 1. What is the remainder when 22 is divided by c(5)?
10
Let c(k) = 2*k**2 - 5*k + 2. Let p = 10 + -6. Calculate the remainder when c(p) is divided by 8.
6
Let f(x) = 2*x**2 - 5*x + 4. Calculate the remainder when 30 is divided by f(3).
2
Let m(d) = -d**2. Let z(f) = 8*f**2 + 2*f - 3. Let u(t) = 4*m(t) + z(t). What is the remainder when -4*(49/(-4) - 0) is divided by u(2)?
15
Let a(n) = 2*n + 17. Calculate the remainder when a(0) is divided by 6.
5
Let f(h) = 6*h + 4. Suppose -a + 5*x = x + 20, 0 = 2*a - 5*x + 34. Calculate the remainder when f(5) is divided by (3 - 0)/((-3)/a).
10
Suppose 5*v - 4*t - 85 = 0, 4*t = -v - v + 6. What is the remainder when 21 is divided by v?
8
Calculate the remainder when 47 is divided by ((-54)/10)/(84/(-20) + 4).
20
Let w = 12 + -4. Let q(y) = 56*y - 2. Let i be q(2). Calculate the remainder when i/8 + (-1)/(-4) is divided by w.
6
Suppose -33 = -4*u + 7*u. What is the remainder when 51 is divided by (u - -30) + 2/(-2)?
15
Suppose 2*l - 4*l = -18. Calculate the remainder when 60 is divided by l.
6
Let r be ((-15)/6 + 3)*-24. Suppose -3*m + 5*p = -8*m + 145, 0 = 4*m - 2*p - 92. Let i = m - r. Calculate the remainder when i is divided by 13.
11
Let j = -4 + 14. Suppose l - j = -0*l. Let i(m) = 4*m**3 + m**2 + 2*m - 1. What is the remainder when i(2) is divided by l?
9
Let n(d) = d**2 - 5*d + 8. Let g be n(7). Let l = g - 6. What is the remainder when 31 is divided by l?
15
Suppose 142 = 14*h + 2. What is the remainder when 78 is divided by h?
8
Calculate the remainder when 24 is divided by ((-40)/(12/(-3)) - -3)/1.
11
Let h(y) = -y + 2. What is the remainder when h(-7) is divided by 5?
4
Suppose -3*f = 2*f. Suppose d + 1 = y, 6 + 19 = -5*d. Calculate the remainder when 12 is divided by (f + (-2)/y)*10.
2
Suppose -141 = -5*m + 2*m. Suppose 0 = -3*i + m + 55. Calculate the remainder when i is divided by 1/(0 - (-2)/36).
16
Let p(g) be the third derivative of -g**6/120 - g**5/12 + g**4/8 + g**3 + g**2. Calculate the remainder when p(-6) is divided by 1/2*4 - -11.
11
Let t = 26 + -18. Let r(z) be the third derivative of -z**6/120 + z**5/15 + z**4/24 + z**3/2 - 3*z**2. What is the remainder when r(3) is divided by t?
7
Suppose 4*r = -33 + 421. Let p = r - 46. Calculate the remainder when p is divided by 27.
24
Let n = -14 + 26. Suppose 0 = 5*h - 3 - n, 5*h - 119 = -4*o. Suppose -q - 7 = 3*t - 1, q - 5*t = o. Calculate the remainder when 11 is divided by q.
5
Suppose 2*y = -3*y - 10. Let r be ((-10)/y - 0) + 0. Let f = r - -8. What is the remainder when 37 is divided by f?
11
Let x = -34 + 45. Calculate the remainder when x is divided by 3.
2
Let k(z) = 6*z - 1. Let r(j) = -j**2 + 7*j - 3. Let h be r(5). Let x be k(h). Suppose 5*v + 1 = x. What is the remainder when 15 is divided by v?
7
Let l(p) = -p**3 - 5*p**2 + p + 4. Let r be l(-5). Suppose 0 = z + 2*z - 81. What is the remainder when z is divided by 13 - r*(0 + 1)?
13
Let z(a) = 3*a + 3. Let x be z(4). Suppose -5*g = x, -3*g = 3*s + s - 19. Suppose -r = -4 - s. What is the remainder when 31 is divided by r?
9
Let k(z) = -z + 2. Let s = -12 - -4. What is the remainder when 29 is divided by k(s)?
9
Suppose 0*w + 3*w - 132 = 0. What is the remainder when w is divided by 12?
8
Suppose p - 3*p = i - 4, -3*p = 3*i - 3. Suppose -3*g = -2*d + 10, 5*d + 1 = 3*g - 2*g. Let z = 6 + g. What is the remainder when p is divided by z?
1
Let m = 4 + 24. Calculate the remainder when m is divided by 5/(((-21)/(-9))/7).
13
Suppose 4*q - 3*q - 11 = 0. Calculate the remainder when 43 is divided by q.
10
Let z = -9 + -7. Let d(a) = -a**3 - 2*a**2 - 6*a - 1. Let o be d(-3). Let r = z + o. Calculate the remainder when 28 is divided by r.
8
Suppose 5*j - 143 = 5*v + 122, 5*j - 2*v = 271. Let t be (-2)/((-1)/6*3). Let a = t - -15. Calculate the remainder when j is divided by a.
17
Suppose 74*y - 456 = 71*y. Calculate the remainder when y is divided by 26.
22
Suppose 2*j + 1 = 31. Let q = j + -10. Suppose -5*p + 5 = -5. What is the remainder when q is divided by p?
1
Calculate the remainder when (14/(-4))/7*-36 is divided by 7.
4
Let f(d) = -d**2 - 7*d - 4. Let m be f(-6). Suppose -m = 2*p, -h - 3*p - p + 61 = 0. What is the remainder when h is divided by 22?
21
What is the remainder when 5 is divided by (5 - (-65)/(-15))/((-3)/(-18))?
1
Let c(m) = m**2 - 2*m. Let k be c(2). Suppose 4*n + y - 376 + 101 = k, 4*y - 272 = -4*n. What is the remainder when n is divided by 18?
15
Let c be (-1)/(-2 + 21/12). Suppose 2*n = 3*n + 3, -c*n = -o + 16. Calculate the remainder when 10 is divided by o.
2
Let g = -29 - -54. Calculate the remainder when g is divided by 13.
12
Suppose 23 = k + y, -30 - 43 = -3*k + y. Suppose 0 = 4*o - 2*o - k. Calculate the remainder when 46 is divided by o.
10
Let v(g) = -16*g + 2. What is the remainder when v(-2) is divided by 12?
10
Suppose 4*y = 7*y - 147. Calculate the remainder when y is divided by 13.
10
What is the remainder when 88 is divided by (6 + 9)*2/3?
8
Let g(r) = r**2 + 3*r + 9. What is the remainder when g(-9) is divided by 8?
7
Suppose 0 = -h - 2 + 7. Calculate the remainder when 17 is divided by h.
2
Suppose 2*x + 0*x - 2 = 0, 2*x = -3*z + 35. What is the remainder when (-24)/84 + (-284)/(-14) is divided by z?
9
Let j(a) = -2*a**2 + 4*a. Let o be j(-4). Let g = -21 - o. What is the remainder when g is divided by 7?
6
Calculate the remainder when (60/(-16))/(6/(-32)) is divided by 11.
9
Suppose 4*o = -o - 5. What is the remainder when 1/o*4 + 98 is divided by 24?
22
Let t(d) = d + 4. Calculate the remainder when 11 is divided by t(3).
4
Suppose -5*w = -0*w. What is the remainder when (-82)/(2/(-1)) - w is divided by 11?
8
Suppose -3*n = -v + 3, 3*v - 9 = -5*n + 2*n. Suppose 2*f - 3*t - 31 = 0, 0 = -n*f - 3*f - 4*t + 21. What is the remainder when f is divided by 6?
5
Let v(i) = -i**3 + 4*i**2 + 6*i + 6. Let j(s) = -s - 2. Let d be j(-3). Calculate the remainder when (d/(-3) + 0)*-93 is divided by v(5).
9
Let y(z) = z**3 + 5*z**2 - 6*z + 1. Let v be y(-5). Let o = -18 + v. Calculate the remainder when o is divided by 5.
3
Suppose -2*x - 36 = -4*x. What is the remainder when 88 is divided by x?
16
Let f(i) = 0*i**2 + 43 + i**2 - 12 + i. Calculate the remainder when f(0) is divided by 8*(-2)/(-6)*6.
15
Let w(n) = -n + 10. Let k be w(7). Suppose 4*s - 5*t = -2 - k, 3*t = -5*s + 40. Calculate the remainder when 12 is divided by s.
2
Suppose 38 = d - 21. Calculate the remainder when d is divided by 15.
14
Let i = 21 + -14. Suppose -2*u + 24 = -u. Let b = 44 - u. Calculate the remainder when b is divided by i.
6
Suppose 8*d = 1 + 207. Let v = -1 - -8. Calculate the remainder when d is divided by v.
5
Let f(c) = c**2 - 4*c - 7. Let b = -80 - -135. Calculate the remainder when b is divided by f(7).
13
Let m be 12/(-78) - (-56)/26. Let d be (-65)/(-10) + 1/m. Calculate the remainder when (-2)/d + 30/7 is divided by 3.
1
Suppose -9*t + 6*t + i + 135 = 0, -3*t - i = -135. Calculate the remainder when t is divided by 8.
5
Let a(u) = -15*u. Calculate the remainder when 88 is divided by a(-1).
13
Let w = -37 + 62. What is the remainder when 74 is divided by w?
24
Suppose 5*g = -2*o - 21, 44 = -5*o - 3*g - g. Let w(f) = -f**2 - 10*f + 1. Let h = 2 - -4. What is the remainder when w(o) is divided by h?
5
Let w(h) = -h**2 - 10*h - 7. Calculate the remainder when w(-6) is divided by 6.
5
Let v be (1 - 2/(-2)) + 40. Suppose 4*h + 48 = c - 27, 0 = -5*h - 20. Let i = c - v. Calculate the remainder when i is divide | {
"pile_set_name": "DM Mathematics"
} |
ative of 15809731*m**3 + 544*m**2 + 3665*m wrt m?
94858386
Find the third derivative of 208967408*w**3 - 371405046*w**2 wrt w.
1253804448
What is the first derivative of 323*u**2*w + 8304390*u**2 + 123932*u*w**3 + 3*u wrt w?
323*u**2 + 371796*u*w**2
Find the second derivative of 4364*u**4 + 11706*u**3 + 403215*u + 12.
52368*u**2 + 70236*u
Differentiate -12948427*a + 947105 wrt a.
-12948427
Find the first derivative of 197735*a**4 - 49*a**3 + 150396390 wrt a.
790940*a**3 - 147*a**2
What is the second derivative of -99490184*b**5*t**2 + 2*b**2*t**2 - 3*b*t**2 + 4903*b*t + 44*t**2 + 2*t - 11 wrt b?
-1989803680*b**3*t**2 + 4*t**2
Find the second derivative of -1252950614*u**2 + 349*u - 469743.
-2505901228
Find the second derivative of -423197265*p**2 - 183882752*p - 2.
-846394530
Find the third derivative of 8543364*w**3 - 9174135*w**2 wrt w.
51260184
Find the third derivative of 18826110*f*r**3 - 1394*f*r**2 - f*r - f - 536*r wrt r.
112956660*f
Differentiate 35787588*r*s**2*w - 7*r*s*w**3 + 4*s**2 + 43792*s*w**3 - w**3 + 38*w with respect to r.
35787588*s**2*w - 7*s*w**3
What is the second derivative of 33*h*i**3*q**2 - 5*h*i**2*q - 233357*h*q**2 - 172*i**3*q + 80*i**3 - i**2 - 23*q wrt q?
66*h*i**3 - 466714*h
What is the second derivative of -176*q**2*v + 60252*q**2 - 977*q*v - 25*q + 4*v + 3 wrt q?
-352*v + 120504
Find the second derivative of -158419*i**2*n**2 + 791*i**2*n - 4*i**2 - 4*i*n + 6*i + 130*n**5 + 2*n + 2 wrt n.
-316838*i**2 + 2600*n**3
What is the third derivative of 171481*i**3*t**3 + 16*i**3*t**2 - 9*i**2*t - 2*i**2 - i + 2*t**3 + 12374 wrt i?
1028886*t**3 + 96*t**2
Find the third derivative of 38948645*j**5 - 2*j**2 + 17560*j + 284 wrt j.
2336918700*j**2
What is the third derivative of 393*f**4*t + 9*f**4 + 3944*f**3*t + 413*f**2*t - 2*f**2 - f + 5*t - 123 wrt f?
9432*f*t + 216*f + 23664*t
What is the third derivative of -7*r*w**6 + 660845*r*w**3 + 3034*r*w**2 + 22*r*w wrt w?
-840*r*w**3 + 3965070*r
What is the derivative of 53698599*z - 33077491?
53698599
Find the second derivative of 41668781*n*r*z**2 + 5*n*r*z + 2*n*r + 2*n*z - 26*r - 282*z - 2 wrt z.
83337562*n*r
Find the second derivative of 240637533*h**4 + 238120039*h.
2887650396*h**2
What is the second derivative of 44269*c*x**2 + 60857*c*x - c - 271*x**4 - x + 10 wrt x?
88538*c - 3252*x**2
Find the first derivative of -d**3 - 550*d**2 + 161178*d - 672435965.
-3*d**2 - 1100*d + 161178
What is the third derivative of 9979*q**2*x**4 + 13028*q**2*x**3 + 162775625*q**2*x**2 wrt x?
239496*q**2*x + 78168*q**2
What is the derivative of -6225231*y - 11838401?
-6225231
Find the second derivative of -18126898*y**2 - 29658591*y wrt y.
-36253796
Differentiate -76706744*a**2*m**2 + 16281175*m**2 + 1 with respect to a.
-153413488*a*m**2
What is the derivative of -n**2 - 2221345*n + 17463789?
-2*n - 2221345
Find the second derivative of -41*a**2*j**3 + 6627*a**2*j*l**2 - 2*a**2*j + 33*a*j**3 + a*j**2*l + 5*a*j + 3*j**3*l**2 - 3*j**3 + 2*l wrt a.
-82*j**3 + 13254*j*l**2 - 4*j
What is the first derivative of 33329*g*l**3 - 14*g*l**2 - 2*l**3 + 2982*l**2 + 18*l - 1 wrt g?
33329*l**3 - 14*l**2
What is the second derivative of 133*p**4 - 63963*p**3*q**3 + 2144*p*q**3 + 3508*p*q**2 wrt p?
1596*p**2 - 383778*p*q**3
What is the third derivative of -34322151*j**4 + 443*j**2 + j - 3179?
-823731624*j
What is the third derivative of -282032452*m**3 + 3*m**2 - 6*m + 1028470 wrt m?
-1692194712
Differentiate 144361*a*n*o**2 - 2*a*o**2 - 2*a*o + 2*a + 20*n*o**2 - 372*o**2 + 14*o + 18 wrt n.
144361*a*o**2 + 20*o**2
Find the third derivative of 2368*h**3*k**6 - 71*h**3*k**4 + 2*h**3*k**2 + h - 10820944*k**2 wrt k.
284160*h**3*k**3 - 1704*h**3*k
Find the second derivative of -2*y**4 - 75755843*y**3 + 212116532*y wrt y.
-24*y**2 - 454535058*y
What is the second derivative of -2*x**4 - 11*x**3 - 378952*x**2 - 43224802*x?
-24*x**2 - 66*x - 757904
Differentiate 56162790*k**3 + 3*k - 593683558.
168488370*k**2 + 3
Find the second derivative of 70*d**2*l**2*o - 11*d**2*l**2 + 2*d**2*l*o**2 - 181*d**2*o + 2*d*l*o - 71443884*l**2*o**2 - 2*l*o + l wrt o.
4*d**2*l - 142887768*l**2
Find the second derivative of -3437*b*u**2*w - 73*b*u*w*z**3 + 2*b*u*z**3 + 158*b*w*z**2 + 7*b*w + 2*u**2*z**3 + 1142*u**2*z + 11*u*w*z - 2*u*z wrt u.
-6874*b*w + 4*z**3 + 2284*z
Find the third derivative of 49281562*c*g*i**3 + c*i**3 + 411*c*i**2 - 3*c - 3*g*i + 201*g - 3*i**3 + 2*i**2 - 2*i wrt i.
295689372*c*g + 6*c - 18
What is the second derivative of 100*j**3 - 192463*j**2 - 97*j + 983340 wrt j?
600*j - 384926
What is the second derivative of 3*a**3*g - 13412*a**2*g - 11*a**2 - a*g - 4367*a - 78*g - 2 wrt a?
18*a*g - 26824*g - 22
What is the third derivative of -144432449*g*r**6 - 537*g*r**2 - 30*g - r**2 - 222*r wrt r?
-17331893880*g*r**3
Differentiate 11351*a*z**3 + 6*a*z + 373*a + 58540009*z**3 wrt a.
11351*z**3 + 6*z + 373
Find the first derivative of -2720994*f**3 + f**2*k**2 - 2*f + 9399*k**2 - 243 wrt f.
-8162982*f**2 + 2*f*k**2 - 2
What is the second derivative of -1161*g**2*t**2 - 12*g**2*t + 2*g**2 + 9*g*t**2 + 1768*t**2 - 202*t + 931 wrt t?
-2322*g**2 + 18*g + 3536
What is the third derivative of 8289185*d**3 + d**2 + 23373 wrt d?
49735110
What is the third derivative of 38021542*y**5 + 793220*y**2 - 4*y wrt y?
2281292520*y**2
Find the third derivative of 36*f**2*i**3*p - 38722*f**2*i**3 + f**2*i + 3*f**2*p + 407*f*i**2*p - f*i + 55 wrt i.
216*f**2*p - 232332*f**2
Differentiate 2*d**3*r + 44845*d**3 + 483*d**2*r - 1257*d**2 + 1395*r with respect to r.
2*d**3 + 483*d**2 + 1395
What is the first derivative of -i**4*z - 602031*i**4 + 8596408*z wrt i?
-4*i**3*z - 2408124*i**3
What is the second derivative of -299*b**5 + 7815*b**3 - b**2 + 1565315*b + 21 wrt b?
-5980*b**3 + 46890*b - 2
Find the first derivative of 2953820*y**4 + y**2 - 80066553.
11815280*y**3 + 2*y
What is the first derivative of 78*w*x + 917*w + 4402083*x - 57085 wrt x?
78*w + 4402083
Find the third derivative of 3449306*v**6 + 3*v**2 - 2*v - 246998.
413916720*v**3
Find the first derivative of 47677243*g**2*l**2 + 43370691*l**2 wrt g.
95354486*g*l**2
What is the third derivative of 143343*v**4 - 45*v**3 - v**2 - v - 1352030 wrt v?
3440232*v - 270
What is the second derivative of -736340*t**5 - 3*t**3 - 6672653*t wrt t?
-14726800*t**3 - 18*t
Find the second derivative of 6*c**2*u**2 - 406109*c**2*u + 21351*c*u**2 + 4*c*u - 7*u**2 - 2 wrt c.
12*u**2 - 812218*u
Find the second derivative of 67287510*j**2 - 1269*j + 163778.
134575020
Find the third derivative of 621301672*c**5 + c**2 - 515694*c - 4 wrt c.
37278100320*c**2
Find the third derivative of -715576269*z**3 - 204164769*z**2.
-4293457614
Find the second derivative of -88*l**2*x**3 - 12873*l**2*x**2 - 205*l*x**3 + 8*l*x wrt l.
-176*x**3 - 25746*x**2
What is the derivative of 346214266*z**4 + 561677808?
1384857064*z**3
What is the third derivative of -3*z**6 - 614*z**5 + 891*z**3 - z**2 + 43*z + 4609?
-360*z**3 - 36840*z**2 + 5346
Find the second derivative of -271*v**4 - 6151*v**2 - 7360117*v wrt v.
-3252*v**2 - 12302
Find the third derivative of -3177728*a**5*u**2 + a**5 - 53*a**2*u**2 + 4805*a**2*u - u**2 wrt a.
-190663680*a**2*u**2 + 60*a**2
What is the second derivative of -5*m**5 - 2068*m**3 - 5*m**2 - 1243*m + 1382 wrt m?
-100*m**3 - 12408*m - 10
Find the first derivative of 9622820*s - 3912930 wrt s.
9622820
Find the second derivative of -182*g**4 - 8688*g**3 + g**2 + 211*g - 2542 wrt g.
-2184*g**2 - 52128*g + 2
Find the third derivative of 119097680*s**2*u**3 - 83*s**2*u**2 + 356*s - u**2 - 193 wrt u.
714586080*s**2
Find the third derivative of 2*h**3*s + 9129057*h**3 + 19*h**2*s + 4*h*s + 46*h + 15*s + 3 wrt h.
12*s + 54774342
What is the second derivative of o**5 - 632*o**4 + 102*o**2 - 3122501*o - 1 wrt o?
20*o**3 - 7584*o**2 + 204
What is the third derivative of 177*a*r**3 - 659*a*r**2 + 582*r**3 + 890*r**2 - r - 2 wrt r?
1062*a + 3492
What is the third derivative of -30899839*r**5 - 413*r**2 - 35383?
-1853990340*r**2
What is the third derivative of -7*d*l**3*w - 2*d*l**3 - d*l**2*w - 77*d*l**2 + 46*d*l*w + 6*d*w + 2978*l**3*w + l**2 + 1 wrt l?
-42*d*w - 12*d + 17868*w
Find the second derivative of -6410203*x**3 + 2*x**2 - 7592366*x wrt x.
-38461218*x + 4
Differentiate 124750210*j**4 - 159 | {
"pile_set_name": "DM Mathematics"
} |
replacement from {h: 3, u: 4, w: 3, r: 4, k: 2}. What is prob of sequence kh?
1/40
Calculate prob of sequence lxhx when four letters picked without replacement from {h: 2, n: 4, x: 2, m: 3, d: 1, l: 6}.
1/3060
Four letters picked without replacement from {k: 1, p: 10, d: 1, s: 1}. What is prob of sequence kpds?
1/1716
Four letters picked without replacement from {i: 2, f: 7}. Give prob of sequence ifff.
5/36
Two letters picked without replacement from {p: 1, v: 4, l: 1, o: 2, x: 4, h: 2}. What is prob of sequence xo?
4/91
What is prob of sequence aadd when four letters picked without replacement from {d: 9, a: 2}?
1/55
Calculate prob of sequence ylyy when four letters picked without replacement from ylyy.
1/4
Calculate prob of sequence cca when three letters picked without replacement from aaaggaggcggc.
1/165
Calculate prob of sequence pz when two letters picked without replacement from zzpzpppzzppzp.
7/26
Calculate prob of sequence zaa when three letters picked without replacement from azadj.
1/30
Two letters picked without replacement from ooyoooooooyoooooooo. Give prob of sequence oo.
136/171
Calculate prob of sequence kkk when three letters picked without replacement from {n: 9, k: 7}.
1/16
Four letters picked without replacement from {x: 3, i: 4, c: 4, y: 2, f: 3}. What is prob of sequence yxyx?
1/3640
What is prob of sequence dd when two letters picked without replacement from xdvxvdvxxdvvxvvddvdd?
21/190
Calculate prob of sequence yuuy when four letters picked without replacement from uuuuyuuuyyuuuu.
5/182
Four letters picked without replacement from {w: 4, v: 2, b: 2, q: 1}. What is prob of sequence wbqw?
1/126
Four letters picked without replacement from {d: 4, z: 2, a: 4, k: 2}. Give prob of sequence zkdk.
2/1485
What is prob of sequence ir when two letters picked without replacement from {w: 7, g: 3, i: 1, r: 4, y: 1, j: 4}?
1/95
Two letters picked without replacement from zzuuuuuuuuz. Give prob of sequence zu.
12/55
What is prob of sequence kikk when four letters picked without replacement from {i: 13, k: 3}?
1/560
Four letters picked without replacement from {a: 4, k: 1, b: 1, t: 2, n: 1}. Give prob of sequence ttba.
1/378
Four letters picked without replacement from {x: 9, a: 2}. Give prob of sequence axax.
1/55
What is prob of sequence vfkp when four letters picked without replacement from {v: 3, k: 8, f: 4, p: 2}?
2/595
Calculate prob of sequence em when two letters picked without replacement from {e: 1, v: 14, m: 2, w: 2}.
1/171
What is prob of sequence idqq when four letters picked without replacement from qduuquuuuuiuuuddiquu?
1/3230
What is prob of sequence effc when four letters picked without replacement from fcferifrfifrfrrfiirf?
7/14535
Two letters picked without replacement from {u: 5, r: 1, e: 3}. What is prob of sequence uu?
5/18
What is prob of sequence by when two letters picked without replacement from {o: 4, y: 5, b: 1, z: 3}?
5/156
What is prob of sequence av when two letters picked without replacement from {e: 1, v: 6, a: 10}?
15/68
Four letters picked without replacement from vtyatttvvaypuap. Give prob of sequence papv.
1/1820
Four letters picked without replacement from gvcvvpgvvrvc. What is prob of sequence ccgc?
0
Calculate prob of sequence kk when two letters picked without replacement from kkti.
1/6
Two letters picked without replacement from aazoaoaaoaaao. Give prob of sequence oz.
1/39
Calculate prob of sequence cyr when three letters picked without replacement from {c: 1, r: 1, y: 4, t: 2, o: 2}.
1/180
What is prob of sequence ns when two letters picked without replacement from nnanrnoasann?
1/22
Four letters picked without replacement from {f: 2, r: 1, g: 4, q: 1, u: 1}. What is prob of sequence grqu?
1/756
Two letters picked without replacement from {x: 1, g: 2, t: 1, v: 4, p: 3, d: 1}. What is prob of sequence vp?
1/11
Calculate prob of sequence ktt when three letters picked without replacement from {k: 3, t: 13}.
39/280
Three letters picked without replacement from {g: 1, p: 1, m: 1, s: 5, k: 2}. Give prob of sequence gsp.
1/144
Three letters picked without replacement from ooiooooaoijobooo. Give prob of sequence oia.
11/1680
Two letters picked without replacement from {z: 4, o: 1, k: 1, s: 2, h: 1, c: 3}. Give prob of sequence zh.
1/33
Three letters picked without replacement from aaanan. Give prob of sequence nna.
1/15
Calculate prob of sequence iiy when three letters picked without replacement from {y: 1, i: 2}.
1/3
Calculate prob of sequence vg when two letters picked without replacement from {g: 1, b: 1, m: 4, v: 2, j: 2}.
1/45
What is prob of sequence qr when two letters picked without replacement from ssqsssjsrsjsssrrjjss?
3/380
Three letters picked without replacement from {i: 3, r: 3, e: 2, s: 1, p: 1, m: 2}. Give prob of sequence rme.
1/110
What is prob of sequence sy when two letters picked without replacement from {y: 1, z: 6, u: 3, t: 1, m: 1, s: 1}?
1/156
Calculate prob of sequence ny when two letters picked without replacement from {n: 2, y: 6}.
3/14
Three letters picked without replacement from {p: 3, h: 2, u: 4}. Give prob of sequence huu.
1/21
What is prob of sequence tgmm when four letters picked without replacement from uttgmttmtttmqu?
1/572
Three letters picked without replacement from {g: 1, x: 2, o: 1, k: 5}. What is prob of sequence xog?
1/252
Four letters picked without replacement from jjjujjjju. Give prob of sequence jujj.
5/36
What is prob of sequence xzz when three letters picked without replacement from xzzzxzzxxxxxxxxx?
11/168
Three letters picked without replacement from {f: 8, p: 1, q: 8}. Give prob of sequence qfp.
4/255
What is prob of sequence kccc when four letters picked without replacement from {c: 1, k: 3}?
0
Four letters picked without replacement from cpjppppnp. What is prob of sequence ppnp?
5/126
What is prob of sequence yys when three letters picked without replacement from ssysssyysysyyy?
7/52
What is prob of sequence ssas when four letters picked without replacement from {s: 3, y: 1, a: 4}?
1/70
Two letters picked without replacement from mmxnxxxzxxxmxxmzxxx. What is prob of sequence xm?
8/57
Calculate prob of sequence hwwh when four letters picked without replacement from nnnwhhwhhwhnh.
3/286
Three letters picked without replacement from {e: 3, b: 3, n: 1, z: 4, k: 3, t: 2}. What is prob of sequence bnk?
3/1120
Calculate prob of sequence vvv when three letters picked without replacement from {o: 1, v: 4, w: 2, u: 8}.
4/455
Two letters picked without replacement from skssskkskskskskkkskk. Give prob of sequence ss.
18/95
What is prob of sequence uu when two letters picked without replacement from whhuvvh?
0
Two letters picked without replacement from yvyiyyyyivdyy. Give prob of sequence iv.
1/39
Two letters picked without replacement from {i: 3, z: 12}. Give prob of sequence iz.
6/35
Two letters picked without replacement from {z: 3, k: 1, e: 2, j: 6, n: 2}. What is prob of sequence jk?
3/91
What is prob of sequence qfi when three letters picked without replacement from zqzfqzfqfziffffz?
1/160
Two letters picked without replacement from tzczzzgdtzttiizgz. Give prob of sequence ct.
1/68
Three letters picked without replacement from mwmmmmmwmw. What is prob of sequence mmw?
7/40
Two letters picked without replacement from {m: 13, f: 6}. What is prob of sequence fm?
13/57
What is prob of sequence bzgb when four letters picked without replacement from bgzbbgqbgbgbbgbggg?
14/2295
Calculate prob of sequence eeux when four letters picked without replacement from ujemejeuejxe.
1/297
Calculate prob of sequence rrrs when four letters picked without replacement from rrrrrrrrrsrrrrr.
1/15
Four letters picked without replacement from ccgpgccpcpp. Give prob of sequence ppcc.
1/33
Three letters picked without replacement from jjjjnjjnjnjjnjjjnnj. Give prob of sequence jnj.
52/323
Two letters picked without replacement from bbfbfbbbb. What is prob of sequence bb?
7/12
Three letters picked without replacement from {f: 5, m: 2}. Give prob of sequence fmf.
4/21
Three letters picked without replacement from {q: 1, l: 2, f: 2, t: 4, p: 5, s: 1}. What is prob of sequence llp?
1/273
Calculate prob of sequence jp when two letters picked without replacement from {p: 5, e: | {
"pile_set_name": "DM Mathematics"
} |
p. Suppose -85 = -2*y + p. Is 22 a factor of y?
False
Suppose 0 = -28*l + 31*l - 264. Is 5 a factor of l?
False
Let k be (2*(-12)/(-20))/((-7)/105). Let f(z) = 37*z**3 - z**2 - z - 1. Let v be f(-1). Let i = k - v. Is 8 a factor of i?
False
Let h = -294 - -523. Does 21 divide h?
False
Suppose 2*c + 5*p - 240 = 0, 373 = 5*c + 4*p - 227. Suppose 0 = -20*s + 28*s - c. Is s a multiple of 3?
True
Let k be (1 - (-1)/(-2))*12. Let y = k + 27. Suppose -2*b = b - y. Is 7 a factor of b?
False
Let n(x) = x**2 + 4*x + 1. Let l(z) = z**2 - 5*z + 3. Let d be l(3). Let m be n(d). Does 15 divide -2*(0/m - 45)?
True
Let l = 6 + -12. Let f(x) = -20*x - 12. Let o(a) = 30*a + 18. Let q(s) = 8*f(s) + 5*o(s). Is q(l) a multiple of 13?
False
Suppose -2*m = -4*j + 3 - 31, 30 = 5*m - 2*j. Suppose -t = m*p - 33, -4*p + 2*t = -2*p - 24. Is 8 a factor of 174/p + (-3)/9?
False
Suppose 5*r + 971 = 11231. Is 38 a factor of r?
True
Is 39 a factor of (-132*4/(-28))/((-1)/(-7))?
False
Suppose 2*d + 1 = -a, 2 = -d + 3*a + 5. Suppose y - 6*y + 180 = d. Suppose -3*z - f = -38, -3*f - y = -z - 8*f. Does 8 divide z?
False
Suppose 4*j - z = 10, z = 2*j - 6*j + 6. Suppose 12 = j*s - 6. Is s a multiple of 9?
True
Let y = 44 - 24. Let z = -16 + y. Does 17 divide (34/(-4))/(z/(-24))?
True
Let x(u) = u**2 + 7*u + 11. Let f be (0/(-1) - 1)*6. Let p be x(f). Suppose 2*k + 16 = 4*k + p*h, -h = -2. Is k a multiple of 2?
False
Let s be ((-52)/(-12) + 1)*(-9)/(-3). Suppose -11*t - 90 = -s*t. Does 9 divide t?
True
Let k(i) = 70*i - 91. Does 9 divide k(7)?
False
Let y(m) = 78*m**2 + 14*m + 18. Let u(l) = -26*l**2 - 5*l - 6. Let k(d) = 11*u(d) + 4*y(d). Is k(-2) a multiple of 25?
False
Suppose 5*o = 4*w + 5 + 51, w + 14 = 5*o. Let j = w + 160. Let p = j + -82. Is p a multiple of 16?
True
Suppose 2 + 11 = 4*x + 5*b, 2*x = 4*b. Suppose -4*v + w + 336 = -w, v = -x*w + 84. Is v a multiple of 6?
True
Is 109 a factor of 3707 - ((-50)/10 - -6)?
True
Let w be -4*4/(-16) + 1122 - -4. Suppose 175 = -7*o + w. Does 17 divide o?
True
Let h = 28 + 30. Let c = h - 22. Is 9 a factor of c?
True
Let q(m) = 2*m**2 + 3*m - 38. Does 6 divide q(-12)?
False
Suppose 4*r + 3*y - 8*y - 2572 = 0, -2*y = 2*r - 1304. Is r a multiple of 18?
True
Suppose -165 = 3*n - g, -g - 254 = 5*n + 13. Suppose 0 = 2*t + 40 + 176. Let a = n - t. Does 14 divide a?
False
Let n = 1240 + -830. Is 19 a factor of n?
False
Let h = -72 + 76. Is 10 a factor of (2 + 40 - 3) + h?
False
Let d(y) = 2*y**2 - 37*y + 72. Is d(32) a multiple of 8?
True
Let c be 3956/(-10) - (-4)/(-10). Let d = 556 + c. Is (-9)/6*d/(-6) a multiple of 20?
True
Let h(r) = -2*r**3 + 2*r**2 - r. Let c be h(-2). Let v = c - -43. Does 18 divide v?
False
Suppose c - 16 = -3*c. Suppose c*y = -2*w + 28 - 10, -2*y + w = 1. Suppose -3*d = -y*d - 22. Does 11 divide d?
True
Suppose 0 = 5*w - 3*r - 585, 9*w - 215 = 7*w + 5*r. Is 23 a factor of w?
False
Suppose 1655 = 3*w - 3016. Is 99 a factor of w?
False
Let p be 48/10 + 9/45. Suppose p*c - 146 = 119. Is c a multiple of 45?
False
Let j(p) = -p - 9. Let r(b) = -b. Let y(k) = -j(k) - 2*r(k). Is 9 a factor of y(6)?
True
Suppose 0 = 3*k + l + l + 77, 3*k + l + 76 = 0. Let m = -14 - k. Suppose m = 4*r - 13. Does 2 divide r?
True
Let k(q) = 49*q + 168. Is 22 a factor of k(6)?
True
Suppose -12*f + 13*f - 2 = 0. Suppose -f*j - 2*c = -122, 94 = 2*j + c - 24. Is j a multiple of 17?
False
Let k = 34 - 16. Suppose -42 = -3*w + k. Does 13 divide w?
False
Suppose 4*v + u = -3*u + 44, 0 = 2*v + u - 17. Suppose v = p + 5. Suppose -2*g = s - 112, -p = -5*s - 11. Is 16 a factor of g?
False
Suppose -3*n - 138 = -6*n. Let u = 5 + 59. Let y = u - n. Does 18 divide y?
True
Suppose 4*t + 2*a = 1548, 3*t + 65*a = 69*a + 1161. Is t a multiple of 3?
True
Suppose -5*c + 3238 = 4*j, -9*j + 7*j = -c - 1626. Is j a multiple of 16?
False
Suppose -2049*a + 2058*a - 7884 = 0. Does 32 divide a?
False
Suppose 2*j = 4*p - 3*p - 201, 5*p + 3*j - 1005 = 0. Suppose -12*d + p + 2331 = 0. Does 13 divide d?
False
Suppose -13 + 8 = 5*a. Is (-14 - -13)*(a - 90) a multiple of 9?
False
Let x = 578 + -383. Suppose 0 = -3*i - 4*b + b + x, b = -2*i + 127. Is i a multiple of 32?
False
Suppose 5*p = 5*v - 6805, -1302 - 61 = -v + 3*p. Is 7 a factor of v?
False
Suppose -3*d = 2*g + 25 - 248, 0 = 3*g + 2*d - 347. Is 20 a factor of g?
False
Let x = 43 + -34. Let y = -1 + x. Is y a multiple of 3?
False
Let y be (-2 + 3)/(-2 - -1). Let x(h) = 314*h**2 + 1. Let z be x(y). Is 4 a factor of 6/(-10) - z/(-25)?
True
Let t(j) = -12*j**3 + 4*j**2 - j - 4. Let q be t(-3). Suppose -2*f = k - 2*k - q, 4*f - 725 = -5*k. Is 31 a factor of f?
False
Let a = 34 + 344. Is 54 a factor of a?
True
Suppose -3*o - 3*m - 218 - 3415 = 0, -3*o - 4*m - 3636 = 0. Is ((-2)/(-4))/((-4)/o) a multiple of 20?
False
Let i(l) = 15*l - 21. Let s be i(9). Let y = -49 + s. Is 13 a factor of y?
True
Let i(p) = 5*p**2 - 9*p + 2. Let s be i(-7). Suppose -5*z - 2*u = u - s, 2*z - 4*u - 124 = 0. Is z a multiple of 12?
False
Let c be ((-39)/26)/(6/376). Let o = -45 - c. Is o a multiple of 12?
False
Let q(o) = -3 + 3*o**3 - o**2 - 2*o**3 - 2*o**2 - 2*o**3. Let c be q(-3). Is 15 a factor of 3*((-245)/c)/5?
False
Suppose 3*b + 3*k = 4*k, 0 = 5*b - 2*k - 1. Let r(v) = -143*v**3 + v**2 - v - 1. Let s be r(b). Suppose -3*w = -5*w + s. Does 24 divide w?
True
Let a = -952 + 1402. Does 30 divide a?
True
Let s be 4 + 6/(-2) + 0. Let u be (-50)/40*(-3 - s). Suppose 3*p + 493 = 4*q, -1020 = -u*q - 2*p - 421. Is q a multiple of 33?
False
Let g = -11 - -15. Suppose -2*n - 8 = 2*n, -r + g*n + 12 = 0. Suppose -3*t = -r*t - 3*d + 15, -d + 33 = 5*t. Does 3 divide t?
True
Let w be 5/2*(10 - 8). Let t = -3 + w. Suppose -t*v + v = -38. Is 11 a factor of v?
False
Let l = 3 + -1. Suppose 4*j + 190 = l*r, -r = -j - 26 - 22. Let g = j + 72. Is g a multiple of 25?
True
Suppose -13 = -5*u + 17. Let d = 1 + u. Suppose 2*s + 4*t = 36, -4*s - d*t = -3*t - 68. Is 8 a factor of s?
True
Let u be (4 - 0)*(6 - 2 - -2). Let i(g) = g**2 - 9*g - 58. Does 31 divide i(u)?
False
Let j(i) = -i**2 - 8*i - 9. Let y be j(-6). Suppose -y*g + 2 = 2*d + 3, 0 = 2*d - 5*g - 23. Suppose 0 = d*p - 19 - 61. Is 4 a factor of p?
True
Let x(v) = 11 - 4*v**2 - 9 - 6*v**3 + 2*v**2. Does 21 divide x(-2)?
True
Is 11 a factor of -6*2/(-3) + -5 - -311?
False
Suppose 141 + 149 = 2*w. Let j = w + -109. Does 19 divide j?
False
Suppose 5*g + 8*u - 11*u - 6309 = 0, -g + 1257 = u. Does 18 divide g?
True
Let h(t) = t**3 + 18*t**2 - 20*t - 17. Let q be h(-19). Suppose -4*r + 60 = 3*i, -q*i - 3 = 5. Suppose r = -3*a + 4*a. Does 9 divide a?
True
Does 32 divide ((-135)/25)/(24/(-2560))?
True
Suppose -2*v - y + 4592 = 0, -6*v - 2287 = -7*v + 4*y. Does 5 divide v?
True
Let q(l) = -l + 2. Let y be q(0). Suppose 0 = -y*g + 276 + 30. Is 9 a factor of g?
True
Suppose 21 = u - 4*u. Let j = u + 10. Is 3 a factor of j?
True
Let n(s) = 6*s**2 + 0*s + 0*s**2 - 13*s + 5 - 7*s**2. Is n(-12) a multiple of 17?
True
Let d = 3338 + -1263. Does 25 divide d?
True
Suppose -35*d + 14594 = -6476. Does 86 divide d?
True
Let z(c) = c**2 - 4. Let q be z(2). Suppose 16*k - 432 - 160 = q. Does 18 divide k?
False
Let u(j) = 3*j + 12*j**2 - 28*j**2 + 2 + 14*j**2. Let l(r) = 4*r**2 - 5*r - 3. Let s(c) = -6*l(c) - 13*u(c). Is 12 a factor of s(8)?
True
Let y(q) = q**3 - 8*q**2 - 16*q - 7. Suppose -5*n + 7 = -0*p + 2*p, 0 = -2*n - 6. Does 30 divide y(p)?
True
Let d = 35 - 37. Is 208/36 + d/(-9) even?
True
Let h be 26/4 + 6/(-4). Suppose 0 = h*v - 11 - 19. Is 15 a factor of (100/(-6))/((-2)/v)?
False
Suppose -23 = -3*j + 1. Suppose q = j + 2. Is q a multiple of 5?
True
Suppose -n = -6*n + 25. Suppose 11 = -n*z + 41. Suppose z*j - 55 = j. Is j a multiple of 8?
False
Let i(m) = -m**3 - 33*m**2 + 28*m - 195. Does 51 divide i(-35)?
True
Let l(m) = -2*m**3 + 20*m**2 - 17*m - 11. Let d(k) = -k**3 + 10*k**2 - 9*k - 5. Let f(c) = 13*d(c) - 6*l(c). Is 11 a factor of f(6)?
True
Let a(q) = -q**3 + 6*q**2 + q + 1. Let k be a(6). Let v be k - (0 + 1)*2. Suppose -v*l = 0, -j + 5*l + 210 = 4*j. Is j a multiple of 24?
False
Suppose 55 + 17 = 4*i. Suppose i = -5*m + 88. Does 3 divide m?
False
Suppose 2*p = 4*y + 2, 6 - 3 = -p - 2*y. Let s(h) = -19*h + 5*h - 14*h. Does 7 divide s(p)?
True
Let p = -13 + 8. Let o(z) = -9*z + 15. Does 10 divide o(p)?
Tru | {
"pile_set_name": "DM Mathematics"
} |
mine s(p(z)).
12*z**2
Let g(f) = 2*f - 2*f + 2*f**2. Let r(n) = -8*n**2 - 12 - 22*n**2 - 9. Let t(k) = 3*k**2 + 2. Let j(c) = 2*r(c) + 21*t(c). What is j(g(z))?
12*z**4
Let h(u) = 5*u. Let w(n) be the second derivative of -n**6/360 - n**4/2 - 4*n. Let k(r) be the third derivative of w(r). Calculate h(k(i)).
-10*i
Let k(m) = -13*m + 8*m + m. Let s(v) = -36*v**2. Give k(s(b)).
144*b**2
Let r(i) = 4*i - 17. Let y(h) = 54*h**2. Give r(y(j)).
216*j**2 - 17
Suppose 0*t + 4*t - 8 = 0. Let p(z) = 4*z**2 + t - 2 + 0. Let f(c) = -4*c. What is f(p(m))?
-16*m**2
Let p(i) = -2*i. Let n(l) = 2895*l. Determine p(n(y)).
-5790*y
Suppose 6*i - 4*i = 2. Let v(r) be the first derivative of 0*r - 1/3*r**3 + i + 0*r**2. Let h(u) = 2*u**2. Calculate v(h(c)).
-4*c**4
Let p(o) = 3*o. Let d(f) be the third derivative of -f**4/4 + 7*f**2 - 2*f. Calculate p(d(q)).
-18*q
Let x(p) = -5*p. Let o(g) = -10*g. Let k(h) = -3*o(h) + 7*x(h). Let r(w) = -w**2. Calculate k(r(b)).
5*b**2
Let d(z) = -19*z. Let n(x) = -9 - x**2 + 9. Give d(n(y)).
19*y**2
Let i(f) = -f. Let o(k) be the first derivative of -k**4/6 + 3*k + 2. Let m(t) be the first derivative of o(t). Determine m(i(x)).
-2*x**2
Let j(l) be the second derivative of -l**3/6 + l. Let f(m) = -9*m. Calculate j(f(d)).
9*d
Let a(b) = -23*b + 2*b + 11*b. Let s(f) = -6*f. Give a(s(d)).
60*d
Let u(x) = 2*x. Let p(b) = 32439*b. Determine p(u(f)).
64878*f
Let z(d) = 501*d - 247*d - 255*d. Let i(p) = -3*p - 3*p + 3*p. Give z(i(o)).
3*o
Let l be (-6)/4*4/(-3). Let m(t) = -5*t**l + 4*t**2 + t**2 + t**2. Let f(y) = -y + 2*y - 3*y. What is f(m(b))?
-2*b**2
Let c(d) = 2*d. Let r(f) be the third derivative of -f**5/60 + 5*f**2. What is r(c(i))?
-4*i**2
Let k(w) = 7*w**2 - 11. Let g(p) = -31*p. Determine k(g(b)).
6727*b**2 - 11
Suppose 6 = 2*v + v. Let c(r) = -r**2 - v + 1 + 1. Let d(l) = -l. Calculate c(d(a)).
-a**2
Let z(b) = 2*b**2. Suppose -2 = -2*k + 2. Let i(p) = p - 2*p**k - p - 2*p**2. Calculate z(i(x)).
32*x**4
Let o(s) be the second derivative of s**5/60 - 5*s**2/2 - 2*s. Let q(y) be the first derivative of o(y). Let l(x) = -x. Give l(q(a)).
-a**2
Let h(q) = -2 + 4 + 3*q**2 - 2. Let t(c) be the first derivative of c**2/2 - 1. What is h(t(n))?
3*n**2
Let g(b) = -12*b. Let u(f) = -5*f. Give u(g(c)).
60*c
Let x(g) be the third derivative of -g**8/10080 + g**5/30 + g**2. Let i(h) be the third derivative of x(h). Let f(w) = 2*w. Calculate f(i(n)).
-4*n**2
Let r(n) be the second derivative of -n**6/360 - 5*n**3/6 - n. Let q(a) be the second derivative of r(a). Let h(w) = -w. Calculate h(q(t)).
t**2
Let n(h) = h**2. Let o(u) be the third derivative of 0*u + 5*u**2 + 3/8*u**4 + 0 + 0*u**3. Calculate o(n(k)).
9*k**2
Let k(w) = -w. Let g be 19/6 + 14/(-84). Let t(n) = -2 + 2 - g*n**2 + 9*n**2. Determine k(t(f)).
-6*f**2
Let w(g) = -2*g**2. Let i(u) = 13*u + 53. Calculate w(i(r)).
-338*r**2 - 2756*r - 5618
Let q(o) = 456*o - 455*o + 0 + 0. Let j(x) be the third derivative of x**4/12 + x**2. Determine q(j(u)).
2*u
Let k(v) = 2*v**2. Let r(n) = 3*n + 67. What is k(r(h))?
18*h**2 + 804*h + 8978
Let c = -8 + 11. Let n(k) = c*k**2 - 15 + 15. Let t(f) = f**2 + 0*f + 0*f. What is t(n(x))?
9*x**4
Let g = -3 + 5. Let n(y) = -4*y + 4*y + y**g. Let q(z) = -4*z. Give n(q(d)).
16*d**2
Let d(o) = 2*o - 6*o + 5*o. Let l(h) = 48*h**2. Calculate d(l(k)).
48*k**2
Let h(p) = -p. Let m(j) = -126*j. Calculate m(h(a)).
126*a
Let y(n) = -6*n**2. Let o(f) = 11*f**2 + 5. Calculate y(o(u)).
-726*u**4 - 660*u**2 - 150
Let l(w) = 7*w - 4. Let x = 30 + -9. Let s(z) = 36*z - 21. Let b(p) = x*l(p) - 4*s(p). Let g(h) = -3*h**2. Determine b(g(c)).
-9*c**2
Let n(h) = -6*h**2. Let c(d) = 14*d - 64. Give n(c(p)).
-1176*p**2 + 10752*p - 24576
Let g(c) = -7 + c**2 + 7. Suppose -5*x + 24 = 2*b + 4, 3*x - 2*b + 4 = 0. Let h(z) = 2*z**x - 6*z**2 + 5*z**2. Give h(g(m)).
m**4
Let s(t) = 18*t**2. Let l(f) be the second derivative of -f**4/6 - 14*f. Give l(s(m)).
-648*m**4
Let x(j) = -39*j**2. Let k(f) be the third derivative of -f**4/12 - 21*f**2. What is x(k(u))?
-156*u**2
Let r(j) = j**2. Let n(u) be the third derivative of u**5/60 - 5*u**2. What is r(n(l))?
l**4
Let k(q) = -5*q**2. Let j(i) = -i - 3. Let a(m) = 4*m + 14. Suppose -3*u + 5 = t + 4, 0 = -t + u - 19. Let w(h) = t*j(h) - 3*a(h). Determine w(k(r)).
-10*r**2
Let d(h) = 9*h**2 + 4*h. Let y(g) = 0*g**2 + 5*g**2 - 4*g**2. Give d(y(z)).
9*z**4 + 4*z**2
Let i(c) = -207*c**2 - 23*c + 23. Let r(w) = 26*w**2 + 3*w - 3. Let l(s) = -3*i(s) - 23*r(s). Let h(j) = j. Determine h(l(o)).
23*o**2
Let m(b) = -20*b**2 + 5. Let w(f) = 9*f**2. Determine m(w(z)).
-1620*z**4 + 5
Let s(z) = 436*z**2. Let g(v) = -3*v**2. Calculate g(s(t)).
-570288*t**4
Let l(h) = 6*h. Let o(t) be the second derivative of t**4/4 + 21*t. Calculate l(o(u)).
18*u**2
Let z(v) = v. Let t be 20/(-90) + -3 + 47/9. Suppose p - 14 = -p - 5*m, 2 = -3*p + 4*m. Let s(q) = q**2 + 3*q**p - 3*q**2 + q**t. What is s(z(l))?
2*l**2
Let l(r) be the third derivative of r**4/8 - 3*r**2. Let a(o) = 2*o - 8. Let b be a(9). Let h(u) = 2*u**2 + b*u + 8*u - 18*u. What is h(l(z))?
18*z**2
Let o(u) = 2*u. Let s(k) = -k**2 + 7*k + 1. Let d be s(5). Let z(y) = d*y - 11*y - 4*y**2. Calculate o(z(a)).
-8*a**2
Let c(n) = 109*n**2. Let k(f) = 2*f. Give k(c(m)).
218*m**2
Let z(u) = -u**2 + 6*u + 14. Let l(x) = x. Let t(g) = 6*l(g) - z(g). Let j(o) = -2*o**2. What is j(t(q))?
-2*q**4 + 56*q**2 - 392
Let u(k) = 13*k**2 - 19*k**2 + 8*k**2. Let w(c) = 9*c. Calculate w(u(i)).
18*i**2
Let u(f) be the first derivative of -3*f**2/2 + 2. Let v(j) = -5*j + 4*j - 6*j + 5*j. What is u(v(x))?
6*x
Let u(m) = 2*m**2. Let p(f) = f**2 - 713. What is p(u(v))?
4*v**4 - 713
Let l(o) be the third derivative of -5*o**4/12 + 39*o**2. Let j(i) = -2*i**2. Determine l(j(g)).
20*g**2
Let l(d) = 8*d**2 + 14*d. Let m(a) = 8*a**2. What is l(m(w))?
512*w**4 + 112*w**2
Let r(y) = -5*y. Let q(t) = 2*t. What is q(r(l))?
-10*l
Let j(y) be the first derivative of -3*y**3 - 13. Let b(k) = -k. Determine j(b(i)).
-9*i**2
Let z(y) = y**2. Let w(o) = -1. Let v(r) be the second derivative of r**3/2 - 6*r**2 + 2*r. Let f(l) = v(l) - 12*w(l). Give z(f(j)).
9*j**2
Let y(r) = -2*r**2. Let u(m) = 184*m**2. Give y(u(a)).
-67712*a**4
Let u(k) = 3*k**2. Let d(g) = 16*g + 34. Determine d(u(t)).
48*t**2 + 34
Let w(b) = -b. Let g(n) be the first derivative of -2/3*n**3 - 1 + 0*n + 0*n**2. Determine w(g(y)).
2*y**2
Let c(l) = -l. Let y(k) = -3*k. Let o(t) = -t**2 - 7*t - 7. Let g be o(-4). Let b(s) = g*y(s) - 18*c(s). Let x(u) = 2*u**2. Determine x(b(q)).
18*q**2
Let a(i) = -i**2 + 8*i + 12. Let b be a(9). Let p(o) = 7*o - 2*o**2 - 10*o + b*o. Let h(c) = 5*c. Give h(p(j)).
-10*j**2
Let w(b) = -7*b + 8. Let a(s) = -4*s + 5. Let r(o) = 8*a(o) - 5*w(o). Let c(i) = -8*i. Let q(x) = 65*x. Let l(v) = 25*c(v) + 3*q(v). Give l(r(g)).
-15*g
Let o(i) = -2*i**2. Let d(r) be the first derivative of -r**3/3 - 9*r + 6. Let h(c) be the first derivative of d(c). Determine h(o(a)).
4*a**2
Let t(l) = 212*l + 2. Let s(y) = y**2. Give s(t(k)).
44944*k**2 + 848*k + 4
Let l(k) = -72*k. Let w(x) = -6*x. Determine l(w(g)).
432*g
Let n(q) = -4*q**2. Let h(d) = -7*d - 34 + 14*d + 34. Give h(n(r)).
-28*r**2
Let f(g) = -g**2 - g**2 + 3*g**2. Let p(v) = -5*v**2. What is p(f(m))?
-5*m**4
Let s(b) be the first derivative of -2 + 2/3*b**3 + 0*b**2 + 0*b. Let j(k) = 3*k**2. Calculate s(j(l)).
18*l**4
Let x(l) = 2*l. Let y(p) be the first derivative of -2*p**5/15 - 5*p**2/2 + 4. Let t(u) be the second derivative of y(u). What is x(t(g))?
-16*g**2
Let b(t) = 103*t. Let h(i) = -40*i. Determine h(b(c)).
-4120*c
Let i(h) = 21*h**2. Let x(p) = 9*p**2. Calculate x(i(d)).
3969*d**4
Let c(j) = -25*j. Let k(x) be the first derivative of -x**2/2 - 44. Calculate c(k(w)).
25*w
Let v(c) = -4*c + 7. Let o = 39 - 25. Let a(s) = s - 2. Let f(k) = o*a(k) + 4*v(k). Let z(t) = 7*t**2. Calculate f(z(h)).
-14*h**2
Let c(a) = 4*a**2. Let k(f) = 2058*f**2. Give c(k(v)).
16941456*v**4
Let g(h) = -h. Let z(l) = -2149*l. What is z(g(v))?
2149*v
Let m = -15 + 17. Let b(d) = d**m + d**2 + 7 - 7. Let s(n) be the first derivative of 3*n**2/2 - 1. Determine b(s(v)).
18*v**2
Let d(q) = -q. Let z(o) = 211*o. Determine d(z(u)).
-211*u
Let h(z) be the second derivative of z**3/3 + 6*z. Let w(y) be the first deriva | {
"pile_set_name": "DM Mathematics"
} |
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"pile_set_name": "DM Mathematics"
} |
t -4*x**5 + 348*x**4 - 340*x**3 - 348*x**2 + 344*x = 0.
-1, 0, 1, 86
Factor -3*w**3 - 126*w**2 - 864*w - 1632.
-3*(w + 4)**2*(w + 34)
Suppose -3*w**2 - 57*w + 450 = 0. What is w?
-25, 6
Factor w**4/8 + w**3/4 + w**2/8.
w**2*(w + 1)**2/8
Let 2*r**4/5 + 3528*r**3/5 + 1410*r**2 + 3524*r/5 = 0. Calculate r.
-1762, -1, 0
Factor 2*q**2/17 + 80*q/17 + 78/17.
2*(q + 1)*(q + 39)/17
What is n in n**4 + 5*n**3 + 5*n**2 - 5*n - 6 = 0?
-3, -2, -1, 1
Factor 2*f**2/17 - 7924*f/17 + 7848722/17.
2*(f - 1981)**2/17
Suppose -12*u**5 - 52*u**4 + 292*u**3 - 444*u**2 + 280*u - 64 = 0. Calculate u.
-8, 2/3, 1
Solve -o**5/2 + o**3 - o/2 = 0.
-1, 0, 1
Determine i, given that -i**4/6 + 7*i**3/3 + 17*i**2/6 - 5*i = 0.
-2, 0, 1, 15
Solve -t**5/4 + 5*t**4/2 - 6*t**3 = 0 for t.
0, 4, 6
Factor -2*o**5/5 - 48*o**4/5 - 332*o**3/5 - 528*o**2/5 - 242*o/5.
-2*o*(o + 1)**2*(o + 11)**2/5
Find i, given that 125*i**5 + 150*i**4 - 1180*i**3 + 840*i**2 - 160*i = 0.
-4, 0, 2/5, 2
Determine g so that -85*g**5/6 - 107*g**4/3 - 59*g**3/2 - 26*g**2/3 - 2*g/3 = 0.
-1, -2/5, -2/17, 0
Find n, given that 2*n**4/5 + 6*n**3/5 - 2*n**2/5 - 6*n/5 = 0.
-3, -1, 0, 1
Factor -21*y**3 + 78*y**2 - 60*y - 24.
-3*(y - 2)**2*(7*y + 2)
Factor 3*q**4 - 6*q**3 - 12*q**2 + 24*q.
3*q*(q - 2)**2*(q + 2)
Let -5*f**3 - 16990*f**2 - 14433005*f = 0. Calculate f.
-1699, 0
Factor 2*n**3 + 118*n**2/3 + 74*n/3 - 38/3.
2*(n + 1)*(n + 19)*(3*n - 1)/3
Factor -i**2 + 48*i - 176.
-(i - 44)*(i - 4)
Find k such that -5*k**2 + 5600*k - 1568000 = 0.
560
What is m in -m**5/7 - 20*m**4/7 - 128*m**3/7 - 256*m**2/7 = 0?
-8, -4, 0
Factor 4*n**3 + 3920*n**2 - 4*n - 3920.
4*(n - 1)*(n + 1)*(n + 980)
Suppose 2*l**4 - 6*l**3 - 16*l**2 + 24*l + 32 = 0. What is l?
-2, -1, 2, 4
Factor -26*o**4/5 + 74*o**3/5 + 12*o**2/5.
-2*o**2*(o - 3)*(13*o + 2)/5
Factor a**2/5 + 124*a + 19220.
(a + 310)**2/5
Factor 4*m**3 - 396*m**2 + 3272*m - 2880.
4*(m - 90)*(m - 8)*(m - 1)
Suppose 273*i**4/4 - 543*i**3/8 - 3*i**2/8 = 0. What is i?
-1/182, 0, 1
Find p, given that -12*p**3 + 208*p**2 + 1252*p - 440 = 0.
-5, 1/3, 22
Solve 3*k**2/2 - 48*k + 234 = 0.
6, 26
Factor r**4/10 + 21*r**3/10 - 48*r**2/5 + 10*r.
r*(r - 2)**2*(r + 25)/10
Determine a so that 6*a**4/11 - 142*a**3/11 - 364*a**2/11 - 8*a/11 + 208/11 = 0.
-2, -1, 2/3, 26
Find h such that -6*h**2/5 + 3531*h/5 + 1767/5 = 0.
-1/2, 589
Determine n so that 8*n**5/19 - 6*n**4/19 - 34*n**3/19 + 24*n**2/19 + 8*n/19 = 0.
-2, -1/4, 0, 1, 2
Solve 20*z**2 - 1145*z - 870 = 0.
-3/4, 58
Let 3*x**3/2 - 9*x**2 - 21*x/2 = 0. Calculate x.
-1, 0, 7
Find o such that 45*o**2 + 595*o + 130 = 0.
-13, -2/9
Factor -s**4/2 + 839*s**3/2 - 2511*s**2/2 + 2509*s/2 - 418.
-(s - 836)*(s - 1)**3/2
Find p, given that -5*p**3/3 - 440*p**2 - 29900*p - 338000/3 = 0.
-130, -4
Determine z so that 3*z**2 - 69*z - 2040 = 0.
-17, 40
Let r**5/7 + 3*r**4/7 - r**3 - r**2 + 18*r/7 - 8/7 = 0. What is r?
-4, -2, 1
Suppose 2*a**4 + 36*a**3 + 202*a**2 + 264*a - 504 = 0. Calculate a.
-7, -6, 1
Find j, given that 2*j**4/9 - 2*j**3/3 - 10*j**2 - 154*j/9 - 8 = 0.
-4, -1, 9
Determine m so that 3*m**5/7 + 18*m**4/7 + 6*m**3 + 48*m**2/7 + 27*m/7 + 6/7 = 0.
-2, -1
Let -4*y**4 - 104*y**3 - 368*y**2 - 352*y = 0. What is y?
-22, -2, 0
Let -j**4/9 + 10*j**3/9 - 8*j**2/3 - 10*j/9 + 25/9 = 0. Calculate j.
-1, 1, 5
Factor i**3 - 21*i**2 - 16*i + 336.
(i - 21)*(i - 4)*(i + 4)
Factor 4*z**3/7 + 188*z**2/7 + 292*z + 924.
4*(z + 7)**2*(z + 33)/7
Solve 2*r**4/13 + 8*r**3/13 - 76*r**2/13 + 120*r/13 - 54/13 = 0 for r.
-9, 1, 3
Let -24*s**5/5 - 1134*s**4/5 - 6402*s**3/5 - 10386*s**2/5 - 2214*s/5 = 0. What is s?
-41, -3, -1/4, 0
Determine z, given that 14*z**4 + 36*z**3 - 32*z**2 - 36*z + 18 = 0.
-3, -1, 3/7, 1
Determine j so that -4*j**3/7 - 300*j**2/7 - 4800*j/7 + 32000/7 = 0.
-40, 5
Suppose 9*t**4/4 + 285*t**3/4 + 2829*t**2/4 + 8151*t/4 - 1521/2 = 0. What is t?
-13, -6, 1/3
Find s, given that 1168128*s**4 + 1171872*s**3 + 3747*s**2 + 3*s = 0.
-1, -1/624, 0
Find i such that -2*i**2/7 - 54*i/7 - 184/7 = 0.
-23, -4
Solve -5*u**5 - 55*u**4 - 40*u**3 + 100*u**2 = 0 for u.
-10, -2, 0, 1
Solve h**4/6 - h**3/2 - 5*h**2/6 + h/2 + 2/3 = 0 for h.
-1, 1, 4
Factor 4*n**4/5 + 12*n**3/5 + 12*n**2/5 + 4*n/5.
4*n*(n + 1)**3/5
Let -p**4/4 - p**3/4 + 19*p**2/4 + 49*p/4 + 15/2 = 0. What is p?
-3, -2, -1, 5
Suppose 2*w**3/23 - 12*w**2/23 + 10*w/23 = 0. What is w?
0, 1, 5
What is g in -g**2 + 28*g = 0?
0, 28
Let 4*f**4 - 36*f**3 + 68*f**2 + 36*f - 72 = 0. What is f?
-1, 1, 3, 6
Factor -3*s**3 - 6*s**2 + 45*s.
-3*s*(s - 3)*(s + 5)
Determine s, given that 49*s**4/4 + 56*s**3 - 129*s**2/4 - 31*s - 5 = 0.
-5, -2/7, 1
Factor -i**5/3 + 2*i**4/3 + 2*i**3 - 4*i**2/3 - 13*i/3 - 2.
-(i - 3)*(i - 2)*(i + 1)**3/3
Find b, given that -3*b**4 - 42*b**3 + 48*b**2 + 42*b - 45 = 0.
-15, -1, 1
Suppose -z**4/5 - 8*z**3/5 - 18*z**2/5 + 27/5 = 0. What is z?
-3, 1
Suppose -5*p**4 + 45*p**3 - 105*p**2 + 95*p - 30 = 0. Calculate p.
1, 6
Let -r**4/5 + 13*r**3/5 + 3*r**2/5 - 37*r/5 - 26/5 = 0. What is r?
-1, 2, 13
Factor 122*h**4/15 + 242*h**3/15 - 4*h**2/15.
2*h**2*(h + 2)*(61*h - 1)/15
Factor -1682*h**4/11 + 232*h**3 - 88*h**2.
-2*h**2*(29*h - 22)**2/11
Let 4*u**5 + 126*u**4 + 804*u**3 - 3280*u**2 - 2856*u + 5202 = 0. What is u?
-17, -3/2, 1, 3
Factor -4*s**4 + 116*s**3 + 792*s**2 + 1648*s + 1120.
-4*(s - 35)*(s + 2)**3
Factor -11*f**3/8 - 14*f**2 - 119*f/8 - 9/4.
-(f + 1)*(f + 9)*(11*f + 2)/8
Solve w**4/7 - 9*w**3/7 - 36*w**2/7 = 0 for w.
-3, 0, 12
Factor -2*l**5/13 - 18*l**4/13 - 30*l**3/13 + 50*l**2/13.
-2*l**2*(l - 1)*(l + 5)**2/13
Suppose 3*d**3 + 9*d**2 - 48*d + 36 = 0. What is d?
-6, 1, 2
Solve g**3/7 - 78*g**2/7 + 1056*g/7 + 19360/7 = 0 for g.
-10, 44
Factor -k**4/4 + 11*k**3/4 + 13*k**2/4 - 11*k/4 - 3.
-(k - 12)*(k - 1)*(k + 1)**2/4
What is p in -546*p**5/5 + 128*p**4/5 + 4922*p**3/5 - 1152*p**2/5 - 72*p/5 = 0?
-3, -2/39, 0, 2/7, 3
Factor -162*q**3 - 3420*q**2 + 3136*q - 704.
-2*(q + 22)*(9*q - 4)**2
Let -723243*t**2 - 14730*t - 75 = 0. What is t?
-5/491
Determine i, given that i**2 - 49*i = 0.
0, 49
Factor 2*l**4 + 32*l**3 + 130*l**2 + 100*l.
2*l*(l + 1)*(l + 5)*(l + 10)
Let -2*v**4/5 + 8*v**3/5 - 6*v**2/5 = 0. Calculate v.
0, 1, 3
Solve 2*m**2/7 - 32*m/7 + 30/7 = 0.
1, 15
Let -2*k**5 - 74*k**4 - 838*k**3 - 2734*k**2 - 960*k + 4608 = 0. What is k?
-16, -3, 1
Suppose -4*o**4 - 12*o**3 + 16*o**2 + 48*o = 0. What is o?
-3, -2, 0, 2
Determine f so that -f**3 - 25*f**2 + f + 25 = 0.
-25, -1, 1
Factor 7*m**4 + 39*m**3 - 340*m**2 - 2244*m - 1872.
(m + 1)*(m + 6)**2*(7*m - 52)
Determine d, given that 2*d**2 + 132*d = 0.
-66, 0
Factor m**5 - 2*m**4 - m**3 + 2*m**2.
m**2*(m - 2)*(m - 1)*(m + 1)
Factor -2*n**3/5 - 1096*n**2/5 + 4408*n/5 - 4416/5.
-2*(n - 2)**2*(n + 552)/5
Let -2*r**2/11 - 92*r/11 - 1008/11 = 0. Calculate r.
-28, -18
Factor 2*q**3/3 + 20*q**2/3 + 46*q/3 + 28/3.
2*(q + 1)*(q + 2)*(q + 7)/3
Let -2*y**3 - 22*y**2 + 2*y + 22 = 0. What is y?
-11, -1, 1
Solve -12*s**3/5 - 304*s**2 - 988*s/5 + 504 = 0 for s.
-126, -5/3, 1
Suppose 6*c**2 - 140*c - 96 = 0. What is c?
-2/3, 24
Solve -3*h**3/2 - 381*h**2/2 + 780*h - 786 = 0.
-131, 2
Let -3*q**4 + 9*q**3 + 102*q**2 - 324*q + 216 = 0. Calculate q.
-6, 1, 2, 6
Suppose g**5/6 - 8*g**4/3 + 2*g**3 + 25*g**2/3 - 77*g/6 + 5 = 0. Calculate g.
-2, 1, 15
Factor 6*f**2/7 - 22*f/7 - 8/7.
2*(f - 4)*(3*f + 1)/7
Factor 2*t**3/7 - 6*t**2 + 78*t/7 - 38/7.
2*(t - 19)*(t - 1)**2/7
Factor 2*n**2 + 2644*n/11 + 480/11.
2*(n + 120)*(11*n + 2)/11
What is f in -f**5/5 - 8*f**4/5 - 4*f**3/5 + 26*f**2/5 + 37*f/5 + 14/5 = 0?
-7, -1, 2
Determine a, given that -4*a**3 - 572*a**2 - 560*a + 1136 = 0.
-142, -2, 1
Factor 4*k**2 + 72*k - 76.
4*(k - 1)*(k + 19)
Solve -3*o**5/2 - 60*o**4 + 66*o**3 + 183*o**2 - 129*o/2 - 123 = 0.
-41, -1, 1, 2
Factor -15*b**3 + 186*b**2 - 72*b.
-3*b*(b - 12)*(5*b - 2)
Let 5*p**3 - 620*p**2 + 14145*p + 333270 = 0. What is p?
-14, 69
Factor -p**2/2 + 35*p/2 + 57.
-(p - 38)*(p + 3)/2
Factor -n**4/5 + n**3 - 3*n**2/5 - n + 4/5.
-(n - 4)*(n - 1)**2*(n + 1)/5
Factor 4*y**3/7 + 64*y**2/7 - 20*y + 72/7.
4*(y - 1)**2*(y + 18)/7
Solve -2*y**5/13 - 36*y**4/13 - 240*y**3/13 - 736*y**2/13 - 1056*y/13 - 576/13 = 0 for y.
-6, -2
Solve -a**5 - 34*a**4 - 144*a**3 + 46*a**2 + 481*a - 348 = 0.
-29, -4, -3, 1
Factor -2*j**5 + 1080*j**4 - 2154*j**3 + 1076*j**2.
-2*j**2*(j - 538)*(j - 1)** | {
"pile_set_name": "DM Mathematics"
} |
and 376?
8
What is the highest common divisor of 6 and 143394?
6
What is the highest common factor of 33919 and 10379?
107
What is the greatest common divisor of 28522563 and 183?
183
What is the highest common divisor of 18 and 411360?
6
Calculate the greatest common factor of 607613 and 709.
709
What is the greatest common divisor of 5329 and 2336?
73
Calculate the highest common divisor of 300 and 80650.
50
What is the greatest common factor of 499510 and 950?
190
Calculate the greatest common factor of 36 and 52308.
36
What is the highest common divisor of 9245 and 170?
5
Calculate the highest common divisor of 50 and 109350.
50
What is the greatest common factor of 38912 and 128?
128
What is the highest common factor of 96 and 2488?
8
What is the greatest common divisor of 105 and 3192?
21
Calculate the greatest common factor of 172 and 196166.
86
What is the highest common divisor of 32111 and 394?
197
What is the highest common factor of 672 and 20748?
84
Calculate the greatest common divisor of 1352 and 344.
8
What is the highest common divisor of 4543 and 63?
7
Calculate the greatest common divisor of 4277 and 15275.
611
Calculate the greatest common divisor of 2782056 and 380.
76
What is the highest common factor of 134260 and 3425?
685
Calculate the greatest common divisor of 873965 and 235.
235
Calculate the highest common factor of 592 and 109816.
296
What is the greatest common divisor of 3 and 25824?
3
Calculate the greatest common divisor of 156 and 36894.
78
What is the greatest common divisor of 541902 and 185?
37
What is the highest common factor of 24382 and 105878?
334
What is the highest common divisor of 6026 and 64714?
262
What is the greatest common factor of 893925 and 50?
25
What is the highest common divisor of 2637460 and 28?
28
What is the greatest common divisor of 68 and 132532?
68
What is the highest common divisor of 254880 and 59?
59
What is the highest common factor of 8370 and 496?
62
What is the highest common factor of 498364 and 92?
92
Calculate the highest common divisor of 884 and 11804.
52
What is the greatest common divisor of 1120 and 2540?
20
Calculate the highest common divisor of 496 and 448.
16
What is the highest common divisor of 231278 and 1182?
394
What is the highest common divisor of 18 and 2101023?
9
Calculate the greatest common divisor of 32 and 73936.
16
Calculate the highest common divisor of 436522 and 202.
202
Calculate the greatest common factor of 185990 and 70.
70
Calculate the greatest common divisor of 8190 and 6720.
210
What is the greatest common factor of 2351 and 4?
1
Calculate the greatest common factor of 684 and 40052.
76
What is the highest common divisor of 476 and 406476?
28
What is the greatest common factor of 553 and 463651?
79
What is the greatest common factor of 9975 and 273?
21
Calculate the greatest common divisor of 428 and 15040.
4
What is the greatest common factor of 3332 and 9898?
98
What is the highest common divisor of 5881327 and 13735?
2747
What is the highest common factor of 845 and 505?
5
What is the highest common factor of 3920 and 1470?
490
Calculate the highest common divisor of 4272 and 1069424.
1424
What is the greatest common divisor of 1260 and 2537010?
630
Calculate the greatest common divisor of 810936 and 2520.
504
Calculate the highest common factor of 25609 and 8.
1
What is the greatest common factor of 6942 and 13494?
78
What is the highest common divisor of 88141 and 38?
19
What is the highest common divisor of 478289 and 129?
43
Calculate the highest common factor of 10438 and 69689.
307
What is the greatest common factor of 4472 and 650?
26
What is the highest common factor of 34620 and 120?
60
What is the greatest common divisor of 15007 and 86?
43
Calculate the greatest common factor of 252 and 3804.
12
Calculate the highest common divisor of 592216 and 8.
8
Calculate the greatest common factor of 177960 and 2820.
60
What is the greatest common factor of 10852 and 292?
4
Calculate the highest common divisor of 240 and 75160.
40
What is the greatest common factor of 960609 and 3?
3
What is the highest common divisor of 7629 and 3?
3
Calculate the greatest common divisor of 621216 and 192.
96
Calculate the greatest common factor of 242 and 454.
2
What is the greatest common divisor of 16448 and 9766?
514
Calculate the highest common divisor of 8425 and 13143.
337
Calculate the greatest common factor of 2300 and 175.
25
What is the highest common divisor of 1579327 and 647?
647
What is the greatest common divisor of 1243 and 8178940?
1243
Calculate the highest common factor of 275 and 268928.
11
What is the highest common divisor of 2565 and 19035?
135
What is the greatest common factor of 1020 and 65484?
204
What is the greatest common divisor of 1730 and 116429?
173
Calculate the greatest common factor of 1090 and 202304.
218
Calculate the greatest common factor of 1943 and 3973.
29
Calculate the highest common factor of 405 and 522612.
81
What is the greatest common factor of 77224 and 1568?
392
What is the highest common divisor of 2286 and 15494?
254
Calculate the highest common divisor of 151176 and 24.
24
Calculate the highest common divisor of 77736 and 30.
6
Calculate the greatest common divisor of 65661 and 129.
129
Calculate the greatest common factor of 223 and 91207.
223
Calculate the highest common divisor of 8143 and 85.
17
Calculate the highest common factor of 158 and 54115.
79
Calculate the highest common divisor of 120 and 663384.
24
Calculate the greatest common factor of 637908 and 424.
212
What is the highest common factor of 17066 and 14973?
161
Calculate the greatest common divisor of 293150 and 44.
22
What is the highest common divisor of 2 and 85010?
2
Calculate the greatest common divisor of 1917 and 5112.
639
What is the greatest common factor of 16750 and 167366?
134
What is the greatest common factor of 2506 and 644?
14
Calculate the highest common divisor of 198775 and 200.
25
Calculate the greatest common factor of 3835387 and 34.
17
Calculate the greatest common factor of 6693 and 8439.
291
What is the greatest common factor of 160 and 10718?
2
Calculate the greatest common factor of 24700 and 3575.
325
What is the greatest common factor of 24 and 9708?
12
What is the highest common divisor of 144 and 194704?
16
What is the greatest common factor of 608 and 122056?
152
What is the greatest common divisor of 146 and 319302?
146
What is the greatest common factor of 440 and 97768?
88
What is the highest common factor of 2038 and 2?
2
Calculate the greatest common divisor of 484 and 44396.
44
Calculate the greatest common factor of 1308 and 98796.
12
What is the greatest common divisor of 1360 and 317560?
680
Calculate the greatest common divisor of 110964 and 4116.
84
Calculate the greatest common divisor of 33061 and 7.
7
Calculate the greatest common divisor of 76 and 1250770.
38
Calculate the highest common factor of 167 and 61289.
167
What is the greatest common factor of 331 and 94004?
331
What is the greatest common factor of 160038 and 2601?
153
Calculate the greatest common divisor of 57 and 3100857.
57
What is the greatest common factor of 35070 and 3738?
42
Calculate the highest common factor of 36173 and 61.
61
Calculate the greatest common factor of 9 and 56649.
3
Calculate the greatest common divisor of 8 and 215224.
8
Calculate the greatest common factor of 6925 and 1925.
25
Calculate the greatest common factor of 21770 and 3710.
70
Calculate the greatest common factor of 1431 and 21.
3
What is the greatest common divisor of 17220 and 480?
60
What is the greatest common factor of 216349 and 217?
217
Calculate the greatest common divisor of 12573 and 396.
99
Calculate the highest common divisor of 7 and 3342332.
7
Calculate the highest common factor of 3266 and 5382.
46
Calculate the highest common factor of 1533 and 10052.
7
What is the highest common factor of 286 and 218933?
143
Calculate the greatest common divisor of 334 and 192551.
167
Calculate the greatest common factor of 207383 and 153.
17
Calculate the greatest common divisor of 664938 and 24.
6
Calculate the highest common factor of 1623432 and 4416.
552
Calculate the highest common divisor of 4750 and 3250.
250
What is th | {
"pile_set_name": "DM Mathematics"
} |
s greater: d or 0.3?
0.3
Suppose 0 = 2*t - 2*k + 4, -5*t - 2*k - 3*k - 10 = 0. Let p(g) = -g**2 + g + 1. Let s be p(t). Is -6 at least s?
False
Let u be 1 - (12/7 - 1). Suppose -3*g + 13 = 5*d, -3*g - 2 = -4*d + 3. Let w be (g/2)/(5/(-10)). Is u <= w?
False
Let s be (5/((-50)/24))/((-9)/(-30)). Suppose -z + 5*i + 17 = -0*z, -z - 3*i - 23 = 0. Let n = s - z. Which is smaller: -2/17 or n?
-2/17
Suppose -5*s - 3*d = d + 33, -d - 7 = s. Let t = 4 + -7. Is t equal to s?
False
Let i = -1/12 + 5/12. Let n = i - 0. Which is greater: 0 or n?
n
Suppose -3*f - 75 = -6*v + v, -5*v - 4*f + 110 = 0. Suppose 2*y - 74 = v. Let w be y/(-42) - 4/(-6). Which is smaller: 0.1 or w?
w
Let s = -19 + 21. Is s at least 3?
False
Suppose -3*t = -3*v - 18, t - 2 = -0*t. Are 2 and v nonequal?
True
Let x be (-3 + 72/21)*10/(-75). Is x != -1?
True
Let f = 7 + -7. Is f equal to -2/45?
False
Let n(b) = b + 5. Let p be n(-5). Is 3/5 at most p?
False
Let f be ((-1)/9)/(1/(-3)). Let b(j) be the first derivative of j**4/4 - j**3/3 + j + 2. Let d be b(0). Which is bigger: f or d?
d
Let r = 22 - 21. Does -2/41 = r?
False
Let j be (4/6)/(9/(-27)). Which is greater: -1 or j?
-1
Suppose y + 4*u + 0 = 3, y + 2 = u. Suppose v + 3*t = 18, 5*v = -t + 4*t. Let h be 1 + (1 - v/3). Is h less than y?
False
Let c(g) = g**2 + 9*g - 4. Let o be c(-9). Let h be (-2)/o*(-30)/(-3). Is 6 smaller than h?
False
Suppose 3*r + 2*p - 16 = 0, 2*r + 17 = -2*r + 5*p. Suppose -r*k - a - 7 = -3, 2*a = -4. Do 1/9 and k have the same value?
False
Let o = 3 - 3.2. Let b = -2.9 - -3. Are o and b non-equal?
True
Suppose 2*l = -j - 5, -4 + 3 = l + j. Let w be 3 + -9*(-1)/l. Is 1 less than or equal to w?
False
Let n(j) = j**2 - 6*j + 1. Let g be n(6). Suppose d = 2*u - 1, 2*u + 4*d - 4 = 2. Let i be (1 - -2)*g/u. Is 3 equal to i?
True
Let a = -1 + 3. Suppose -8 = -4*s, 6*m + 22 = 4*m - 3*s. Let n be 1/m*(-15 + 3). Is a greater than n?
True
Let w be (8 + -2*1)/2. Let n(v) = -v + 4. Let c be n(w). Suppose 5*u = 6*u. Which is smaller: c or u?
u
Suppose 11 = 2*b + 3. Let t be 1 - 3 - (-9)/b. Is t != -1?
True
Suppose 2*f + 3 = 7. Let b be f/(-3) - (-2)/21. Is b at least as big as -2?
True
Let h be 1*12/(-1)*7/(-14). Which is greater: 7 or h?
7
Let m = -1153 + 95703/83. Are m and 1 non-equal?
True
Let m = 592/33 + -18. Is m < 1?
True
Suppose 3*k + 3 = -0*k. Let j be ((-12)/15)/((-2)/(-10)). Let b be j/(-18) - (-2)/(-90). Which is smaller: k or b?
k
Let b be -2*(15/9)/(-5). Let u = 6.6 - 1.6. Are b and u equal?
False
Let i = -4189 + 7183. Let p = i - 92826/31. Let d = p - -170/279. Which is smaller: -1 or d?
-1
Let n(f) = 9 + f**2 - 3*f + f**2 - 3*f**2. Let t be n(-4). Which is bigger: 19/4 or t?
t
Let l(k) be the second derivative of k**3/6 - k**2/2 - k. Let q be l(0). Let i be 0 + ((-9)/(-12))/3. Which is greater: q or i?
i
Suppose -v = 2*o + 59, -2*o + 206 = -4*v - 50. Let g be ((-2)/14)/(108/v). Is g at most as big as -1?
False
Let o = 4 - 15. Let m = 12 + o. Is -1 at least m?
False
Let i be (-278)/12 + (-2)/12. Let p = 24 + i. Which is smaller: p or 0?
0
Let s = -0.371 + -0.029. Is s less than or equal to -6?
False
Let w = -6 + 5.91. Let v = 4.91 - w. Which is greater: -0.1 or v?
v
Let x = -170 + 169.8. Are 1/6 and x equal?
False
Let y(g) be the third derivative of -g**6/60 - g**5/30 - g**4/8 - g**3/6 - g**2. Let h be y(-2). Is 12 <= h?
True
Suppose -3*h + 4*h = 1. Let j be h - (34/8 - 3). Which is smaller: j or -1?
-1
Let z(n) = n**2 - 4*n. Let v be z(3). Is -3 at most as big as v?
True
Let s = 226542168/451 - 502311. Let b be (2/164)/((-2)/(-4)). Let o = s + b. Are o and -1/4 equal?
False
Let c = -8 + 8.1. Let k = 0.1 - 0.2. Let a = 0 - k. Is c equal to a?
True
Let g be (-2)/(-3)*(-3 - 9). Let k be g/(-20) - (-32)/(-5). Let r = 7 + k. Are r and 0 non-equal?
True
Let q = -12 - -8. Which is greater: -3 or q?
-3
Let z = -60 - -1378/23. Which is smaller: z or -1?
-1
Let u be 12/(-9) - 4/(-6). Is u <= 0?
True
Let z(d) = -1 - d - 3*d + 8 - d**2. Let u be z(-6). Suppose -24 = 4*y - i, -y + i - 6*i = -15. Is u at most y?
True
Let y = 22 + -22. Suppose y = -2*m - m. Which is bigger: -3/4 or m?
m
Let r = 9 + 1. Let u = -9.6 + r. Is -1 greater than u?
False
Let h = -16 - -35. Do 19 and h have different values?
False
Let r be 9 + 1 + (-6)/(-3). Suppose 0 = -0*f + 3*f - r. Which is bigger: f or 5?
5
Suppose 0 = -y - 4*m + 13, -2*y = y - m. Let a(q) = -2*q. Let v be a(y). Is v at most -4?
False
Let m = 1 + -2. Suppose -124 = 4*g - 0*g. Let f = g + 125/4. Is f at most m?
False
Let p = -7 - -7. Let b be p/(-6) + (-3 - -1). Let n be (-1 - 1 - b)/2. Which is bigger: 1/13 or n?
1/13
Let n be -1 + 2 + 0 + -1. Let c(w) = -w**3 - 11*w**2 - 11*w - 8. Let u be c(-10). Suppose 0 = -3*b - u*b - 15. Which is smaller: b or n?
b
Let u(r) = r**2 + 9*r + 10. Let w be u(-8). Which is bigger: 9/8 or w?
w
Let m(v) = -v**2 - 5*v + 3. Let u be m(-5). Is u < 3?
False
Let b(h) = 5*h + 36. Let t be b(-7). Let l = 472 - 8970/19. Is l greater than or equal to t?
False
Let j(g) = g**3 - g**2 + g - 1. Let d = -2 + 2. Suppose m + m = d. Let t be j(m). Which is smaller: t or 3/8?
t
Let g be 2/8 + -1 + 1. Which is greater: 2/9 or g?
g
Suppose u - i = 3*i - 20, 0 = 5*u - 4*i + 20. Which is smaller: -5/9 or u?
-5/9
Let z = 0 + -3. Let t = z - -5. Suppose -t*n = -n. Are 1/3 and n nonequal?
True
Let l = -56 + 55.9. Let h be (2 - -1)/(-3) + 5. Let i be (-32)/20*(-1)/h. Is l bigger than i?
False
Suppose -4*v + 77 = -43. Is v > 32?
False
Let y be ((-4)/5)/((-6)/120). Let s = y + -16. Let x be 1 - 0 - (1 + 0). Is x at least as big as s?
True
Let j(w) = 4*w**2 - w - 1. Let z be j(-1). Let s(o) = o**2 - 4*o + 3. Let a be s(4). Which is smaller: a or z?
a
Suppose 4*m - 46 = -2*i - 0*i, -2*i = 2*m - 26. Suppose -7 - 18 = -5*j. Suppose m = j*f - 0. Does f = 1?
False
Let k be 4 - (3 + -7 + 1). Which is smaller: k or 10?
k
Suppose 3*s = -304 + 40. Is s greater than or equal to -87?
False
Let i be 1/(-3) - (-10)/30. Suppose -3 + 0 = 5*m + r, i = -5*m + 4*r + 12. Is 1 less than m?
False
Let z = 16 + -17. Is 3/20 <= z?
False
Let q be (3 + -70)*(-3)/3. Is q not equal to 67?
False
Suppose 3*v + 63 = -36. Is v greater than -32?
False
Let o = -0.1 + 0.3. Let w = 3.5 + -3.1. Let f = w - o. Is 3/2 less than or equal to f?
False
Let j = -41 + 40. Let q = -175/4 - -1209/28. Let n = q + 1/14. Does j = n?
False
Let h = 99.9 - 100. Which is bigger: h or -4.5?
h
Let m = 3.45 + -0.45. Which is smaller: -0.05 or m?
-0.05
Suppose 0 = 4*b - 2*b. Suppose b = -2*y + 1 + 1. Let w(o) = -o - 3. Let z be w(-5). Is y equal to z?
False
Let y(d) = -2*d + 3 + 4 + 3*d. Let x be y(-4). Let h = 3 - 0. Do x and h have different values?
False
Let r = 26826137/23 - 1167461. Let v = -295549/207 - r. Let j = v - -321. Which is smaller: -1 or j?
-1
Let c = 79/18 - 17/9. Are 3 and c unequal?
True
Let g be (-21)/(-28) + (-535)/4. Which is smaller: g or -134?
-134
Let r = 15 + 59. Let i be r/(-90) + 2/9. Does -1 = i?
False
Suppose 0*t + 2*o + 1 = -3*t, 25 = -5*o. Let c be t/(3/(-6)*3). Let v be (1 - 9/8)*c. Which is smaller: 0.2 or v?
0.2
Suppose 16 = 4*o, 23 = -2*f + f - o. Let r be 112/(-18) - 6/f. Which is smaller: r or 2/7?
r
Let x = 18 + -11. Let i = x + -5. Let n = -5 + i. Which is greater: n or -2?
-2
Let i be (-2)/(-5) + (-224)/10. Let u be 24/(-11) + (-4)/i. Which is bigger: 0 or u?
0
Let z be (-5)/(-2) - (-2)/(-4). Let p be (z/(-4))/(3/(-6)). Which is smaller: p or 2?
p
Let t be 196/4*(3 - 0). Let w = -12 + t. Let h = -1486/11 + w. Which is smaller: h or 0?
h
Let d(q) = -q + 3. Let v be d(0). Suppose -v - 2 = 5*a - 5*l, 5*l - 5 = -5*a. Which is smaller: a or -3/4?
-3/4
Let p(y) = y**2 - 7*y. Suppose 3*j - 11 - 6 = -2*h, 3*j - 4*h - 29 = 0. Let x be p(j). Let k = 1 - 2. Is k > x?
False
Let k = -88 - -88.6. Let a = -2 + 2.1. Is k less than or equal to a?
False
Suppose -7*s - 22 - 6 = 0. Is s greater than 2?
False
Let m = -15/16 + 137/112. Is m at least 3?
False
Let m = -2 - -1.9. Let o(s) = 55*s + 2. Let r be o(5). Let d = 2213/8 - r. Which is smaller: m or d?
d
Let k be (3/(-24))/((-4)/24). Let z = -65/76 + k. Are 0 and z equal?
False
Let a = 8 - 6. Which is smaller: a or -2?
-2
Let s be -4*1/(-6)*3. Suppose 0 = -k - 4*b - 8, -2*b = -3*k - 2 - 8. Let x be k*9/(-12) - 2. Are s and x nonequal?
True
Let m | {
"pile_set_name": "DM Mathematics"
} |
/(-2 - -6). Let k = -7/3 + b. Put k, 0.1, 2 in descending order.
2, 0.1, k
Suppose 0*k + 3*k = 12. Suppose x = 4*t - 0*t + 7, -k*x + 5*t = -6. Suppose -5*h = -2*h. Put x, h, 4 in decreasing order.
4, h, x
Let r = 0 + -0.05. Let d = 0.05 + r. Sort d, 1, 0.5.
d, 0.5, 1
Let k be (-2)/7 + 111/21. Suppose -i + 46 = -5*r, 2*r + 50 = -r - k*i. Let n = r + 6. Put -5, n, -1 in decreasing order.
-1, n, -5
Let s = 9 - 4. Suppose 0 = s*p - 6 - 4. Put 3, -5, p in decreasing order.
3, p, -5
Let k be 0*4/((-12)/3). Sort 1, -2, k.
-2, k, 1
Let h be (1/(-3))/(2/42). Let n = h + 9. Let w be (n/2)/(2/(-10)). Sort w, -3, 2 in descending order.
2, -3, w
Let j(c) be the first derivative of -4/3*c**3 - 2 - 7/2*c**2 + 1/4*c**4 + 7*c. Let k be j(5). Sort 4, k, -5 in descending order.
4, k, -5
Let f = 32/15 + -14/5. Let t = -5 - -9. Let h = t - 4.2. Sort h, 2/9, f.
f, h, 2/9
Let o = 1.6 + 2.4. Put o, 2/11, -0.4 in descending order.
o, 2/11, -0.4
Let b = -1/55 + -2/11. Put b, 3, -10 in ascending order.
-10, b, 3
Let w = -0.2 + 0.3. Let y = w - -4.9. Let p = 3 + -2.8. Sort 1/4, y, p.
p, 1/4, y
Let t = 0.19 - -4.81. Put 0.1, -1/11, t in increasing order.
-1/11, 0.1, t
Let k = -4802/15 - -320. Sort 3, 4, k in decreasing order.
4, 3, k
Let z(j) = j**3 + 4*j**2 - 6*j - 7. Let b be z(-5). Suppose 3*q - 35 = 4*p, 0 = -p + 3*p + 2*q. Put p, b, 5 in ascending order.
p, b, 5
Suppose -3*v = -6*v - 138. Let a = 232/5 + v. Let s = -1/37 - -45/296. Put s, -3, a in ascending order.
-3, s, a
Suppose 0 = 2*h - j + 2*j, 2*j = -h - 3. Let b(z) = z**3 + 6*z**2 - 5. Let x = 6 - 12. Let t be b(x). Put h, t, -4 in decreasing order.
h, -4, t
Let w = 0.14 - -1.86. Sort w, -0.3, 3/7.
-0.3, 3/7, w
Let p = 201.82 + -199. Let u = -0.18 - p. Let v = -0.9 + -0.1. Sort v, 5, u in descending order.
5, v, u
Let n = 265 + -267. Let i = -0.1 - 0.1. Sort n, i, 2/3.
n, i, 2/3
Let p = 9 + -5. Suppose -i = 1, u - 20 = -p*u + 5*i. Let a be (9/12)/((-15)/(-40)). Sort u, -2, a in descending order.
u, a, -2
Let j = -1.92 - -1.42. Sort 2/7, 83, j.
j, 2/7, 83
Let f = -0.08 - -0.08. Let l be ((-1 + 5)*-1)/(-2). Sort -0.2, l, f in descending order.
l, f, -0.2
Let h be (4 + -8)*(-6)/(-4). Let r = h - -5. Put 0.2, -2, r in descending order.
0.2, r, -2
Let d be (-2)/6*(-21)/(-14). Put 0.3, d, 2 in ascending order.
d, 0.3, 2
Let w = 7.1 + -7. Let p = 1.4 - 8.4. Let n = p - -6.7. Sort w, n, 2 in increasing order.
n, w, 2
Suppose 3*s + 3*s + 6 = 0. Put s, 2, 3 in decreasing order.
3, 2, s
Let v be 5 + (-40)/4 + 2. Sort -2/3, -4, 5, v in decreasing order.
5, -2/3, v, -4
Suppose q = 2*d - 2*q + 3, 4*d + 2 = 2*q. Sort d, -12, 3 in descending order.
3, d, -12
Let h = 4.1 - 0.1. Let c = 1 - 4. Let k = c - -5. Sort h, 3, k in ascending order.
k, 3, h
Let w be (-8)/10 - (-140)/100. Let q = -3.4 - -3. Sort w, q, -2 in decreasing order.
w, q, -2
Let j = 4.684 + 0.016. Let m = -0.7 + j. Sort m, -6, 1/4 in ascending order.
-6, 1/4, m
Let c(f) = -2*f + 54. Let r be c(16). Let j = 17 + -6. Let y be 2/j + (-70)/r. Sort -4, y, -5 in descending order.
y, -4, -5
Let w(d) = -d**2 + 9*d - 6. Let b be w(8). Sort -3, 4, -2, b in ascending order.
-3, -2, b, 4
Let d = 7 + -2. Suppose -3*x + 3 = -s - 4*x, 0 = s - x - 5. Suppose 2*b = -9 - s. Put 2, b, d in decreasing order.
d, 2, b
Let l(a) = a - 9. Let o be l(6). Put o, 1, 4 in descending order.
4, 1, o
Let y be -3 + (-1)/(-1) - 1. Sort y, 4, -1, -4 in decreasing order.
4, -1, y, -4
Let b = -16 + 18. Sort b, -1, 0.4 in descending order.
b, 0.4, -1
Suppose 2*p - 25 = 2*m + 7*p, 3*m = 4*p - 3. Sort -3, -2, m in ascending order.
m, -3, -2
Let b = -0.07 + -0.03. Suppose -2*y + 2 = -0. Sort b, 2/15, y in descending order.
y, 2/15, b
Let d = 12 - 10. Sort -5, d, 2/3.
-5, 2/3, d
Let y = -3 - -5. Let a = -14.8 + 15.2. Sort a, 0.1, y in increasing order.
0.1, a, y
Let p = -20 - -23. Sort -5, -4, p.
-5, -4, p
Let h be -1 - (-5)/(-2 + 3). Put h, -6, 1 in ascending order.
-6, 1, h
Let m = -3 + 3.2. Let i = m - 0.4. Let u = -0.129 + -0.171. Put i, u, -0.1 in decreasing order.
-0.1, i, u
Suppose -6*b + 2*b + h = 36, 5*b - 4*h = -45. Sort 1, -3, b.
b, -3, 1
Suppose 4 = -4*z + 2*z. Let d = 0.2 + -0.2. Let i = d + -0.5. Put 2, z, i in decreasing order.
2, i, z
Let w = -16 - -12. Put 0.4, -13, w in descending order.
0.4, w, -13
Let s = 0.02 - 0.08. Let y = s + -2.94. Let a = -3 + 3.1. Put a, 3, y in ascending order.
y, a, 3
Let p = -6.2 - 1.8. Let f = -7.7 - p. Put 3, -1, f in increasing order.
-1, f, 3
Let x = 0 + -1. Let a be -1*((-4)/x)/(-2). Suppose 5*j - 27 = 2*y, j - 3*y - 13 = -j. Put -2, j, a in descending order.
j, a, -2
Let g = -1.2 + 1. Put g, 0.1, 0.5 in decreasing order.
0.5, 0.1, g
Suppose 3*g - 2*f = g + 2, 5*f = 4*g - 1. Let p be -1*(-1 + -3) + 0. Let u = p + -6. Put g, u, 2 in ascending order.
u, 2, g
Let g(w) = -w - 2. Let k be g(0). Sort 3, 1, k in decreasing order.
3, 1, k
Suppose 2*x + 6 = -0*m + 2*m, 5*m - x = -5. Suppose 0 = 2*l - 2*c - 8, 2*c + 5 = -5. Put l, -2/9, m in ascending order.
m, l, -2/9
Let v = -4 + 4. Suppose 2*c = -3*c + 25. Let y = -16 - -11. Put v, y, c in decreasing order.
c, v, y
Let t = -0.7 + 0.3. Let y = -0.28 - -0.38. Sort t, 1, y in ascending order.
t, y, 1
Suppose u = 2*u. Sort -1, 6, u.
-1, u, 6
Let h = 29 - 17. Let n be (-1)/(-2)*h/(-2). Suppose -5 = -v - 4*v. Put n, v, -4 in descending order.
v, n, -4
Let l be -1 + 1 + (-4)/(-14). Let r = -10.18 + 0.18. Let p = -9.9 - r. Sort p, -2/5, l in descending order.
l, p, -2/5
Let p = 7 + -4. Suppose 37 = -4*g - k + 6*k, -5*g = 2*k + 5. Sort g, p, 1/2 in decreasing order.
p, 1/2, g
Let f be (2/6*0)/(-2). Suppose -4 = 2*k - f. Sort k, 0, -4 in descending order.
0, k, -4
Let p = 0 + 2. Let o = 1076/11 + -98. Sort o, -0.4, p in ascending order.
-0.4, o, p
Suppose 4*j - 2*i + 28 = -2, 4*i - 30 = 2*j. Sort -3, j, 3 in ascending order.
j, -3, 3
Suppose 5*k + 51 + 14 = -5*l, 0 = 5*k - 3*l + 49. Let s be 7/(-21) + 21/9. Sort s, -2, k.
k, -2, s
Let o be 5/(-2)*(-10)/25. Let r = 11 - 15. Put r, 3, o in decreasing order.
3, o, r
Let n = -74 - -369/5. Put 0.05, -0.4, n in descending order.
0.05, n, -0.4
Let z = -17.3 + 17. Put z, 4, -0.2 in descending order.
4, -0.2, z
Let i = -3/22 + 89/330. Sort 1, i, 5 in descending order.
5, 1, i
Let v = -18 - -27. Let h = v - 8. Suppose 0 = 4*i - 0*i + 20. Sort h, -3, i in decreasing order.
h, -3, i
Suppose -4 - 4 = -2*n. Let t(j) = j**2 + 11*j + 12. Let g be t(-9). Let a be (-1 - g/3) + -6. Sort n, -2, a in decreasing order.
n, -2, a
Let r = 15 - 28. Put -3, 5, r in decreasing order.
5, -3, r
Let s be (0 + -1)/((-3)/27). Let z = s + -1. Let m = -13 + z. Sort -3, m, -4 in descending order.
-3, -4, m
Suppose -5*g + 0*g = -15. Suppose p + 3*c - 5*c = 11, g*p = 2*c + 17. Let d be (-11)/p - (2 - 5). Put 2/5, 5, d in ascending order.
d, 2/5, 5
Let p(l) = l - 16. Let f be p(19). Sort -3, f, -1.
-3, -1, f
Let s(u) be the third derivative of -13*u**4/12 + u**3/6 - 2*u**2. Let a be s(1). Let v be (12/(-10))/(10/a). Sort -3, -4, v in decreasing order.
v, -3, -4
Let l(b) = -b**2 + 12*b - 5. Let k be l(11). Let z be (k + 1)*(-4 - -3). Let i = -3 - z. Sort 2, i, -2 in increasing order.
-2, 2, i
Let x = -2 - -7. Let c be 3 + (-1 + x)/(-4). Put -2, c, -3 in descending order.
c, -2, -3
Let l = 7 + -5. Let j = -20 + 20.3. Put j, l, 0.04 in decreasing order.
l, j, 0.04
Let s be (4*(-2)/(-20))/((-7)/5). Sort -0.3, s, -5, -12.
-12, -5, -0.3, s
Let g = 17 + -16. Put -3, 4, g in descending order.
4, g, -3
Let a = -14.3 - -14. Sort -13, -0.4, a.
-13, -0.4, a
Let i(y) = y. Let g be i(-7). Let n(z) = z**2 + 7*z - 2. Let d be n(g). Sort d, 4, -9.
-9, d, 4
Suppose 4*r - l + 1 = 0, -5*r + r - 2 = -2*l. Sort r, 5, -3 in descending order.
5, r, -3
Let z be (1/(-3))/((-1)/(-3)). Suppose 3*w - 27 = d - 7, w = 2*d + 15. Let o = -18 - -13. Put z, w, o in decreasing order.
w, z, o
Let l = -27.4 + 24. Let j = -3 - l. Put j, 1, 0 in descending order.
1, j, 0
Let x be (-2)/3 + 170/210. Let i(k) = -k**2 - 5*k. Let c be i(-5). Put -3, c, x in decreasing order.
x, c, -3
Let l = 17 + -14. Put -2, l, 1/10 in increasing order.
-2, 1/10, l
Let s(a) = -a**2 + a - 2. Let g be s(0). Suppose -3*z = 2*z. Put 1, g, z in ascending order.
g, z, 1
Suppose -4 = -29*b + 33*b. Sort b, 2, -4 in descending order.
2, b, -4
Let v be 1 + 0 + (6 - 3). S | {
"pile_set_name": "DM Mathematics"
} |
igit of 13351377?
5
What is the ten thousands digit of 5468165?
6
What is the units digit of 257567?
7
What is the hundreds digit of 2955363?
3
What is the tens digit of 4391001?
0
What is the units digit of 1202297?
7
What is the tens digit of 715859?
5
What is the hundred thousands digit of 286786?
2
What is the units digit of 322243?
3
What is the hundreds digit of 1739156?
1
What is the ten thousands digit of 2201023?
0
What is the thousands digit of 152932?
2
What is the millions digit of 4583742?
4
What is the ten thousands digit of 2890267?
9
What is the millions digit of 1690410?
1
What is the hundred thousands digit of 218188?
2
What is the millions digit of 6910564?
6
What is the hundred thousands digit of 7530410?
5
What is the thousands digit of 278465?
8
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6
What is the thousands digit of 41847?
1
What is the hundreds digit of 2393348?
3
What is the thousands digit of 314719?
4
What is the thousands digit of 14391497?
1
What is the units digit of 26114973?
3
What is the hundreds digit of 16645491?
4
What is the thousands digit of 190867?
0
What is the ten thousands digit of 102194?
0
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5
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0
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1
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4
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4
What is the thousands digit of 1254072?
4
What is the hundreds digit of 1440419?
4
What is the hundreds digit of 912796?
7
What is the tens digit of 724697?
9
What is the millions digit of 13701550?
3
What is the units digit of 74551?
1
What is the units digit of 1258527?
7
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8
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5
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8
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5
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7
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3
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5
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6
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8
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7
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6
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7
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6
What is the hundreds digit of 12432972?
9
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2
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5
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2
What is the ten thousands digit of 12424403?
2
What is the ten thousands digit of 3682456?
8
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7
What is the ten thousands digit of 287637?
8
What is the hundred thousands digit of 319177?
3
What is the ten thousands digit of 1598383?
9
What is the tens digit of 123649?
4
What is the units digit of 7554107?
7
What is the ten thousands digit of 1457817?
5
What is the ten thousands digit of 2582650?
8
What is the thousands digit of 27234842?
4
What is the tens digit of 53552?
5
What is the hundred thousands digit of 4883982?
8
What is the tens digit of 631927?
2
What is the units digit of 280310?
0
What is the ten thousands digit of 542576?
4
What is the ten thousands digit of 19705326?
0
What is the hundred thousands digit of 209899?
2
What is the ten thousands digit of 8944569?
4
What is the tens digit of 19251055?
5
What is the ten thousands digit of 175335?
7
What is the ten thousands digit of 1085931?
8
What is the thousands digit of 5407169?
7
What is the hundreds digit of 72255?
2
What is the hundreds digit of 785638?
6
What is the ten thousands digit of 261263?
6
What is the ten millions digit of 29920397?
2
What is the thousands digit of 119844?
9
What is the ten thousands digit of 5015525?
1
What is the tens digit of 1464396?
9
What is the units digit of 1350051?
1
What is the tens digit of 947410?
1
What is the ten thousands digit of 1861201?
6
What is the hundred thousands digit of 17068030?
0
What is the units digit of 26464953?
3
What is the tens digit of 1006092?
9
What is the units digit of 69074?
4
What is the units digit of 254257?
7
What is the units digit of 2455070?
0
What is the thousands digit of 100238?
0
What is the thousands digit of 669857?
9
What is the ten thousands digit of 177900?
7
What is the hundreds digit of 10576886?
8
What is the hundred thousands digit of 1332479?
3
What is the units digit of 1444785?
5
What is the tens digit of 1075995?
9
What is the hundred thousands digit of 218833?
2
What is the ten thousands digit of 399037?
9
What is the hundred thousands digit of 458977?
4
What is the tens digit of 544264?
6
What is the hundreds digit of 1601300?
3
What is the ten thousands digit of 4237504?
3
What is the units digit of 100702?
2
What is the hundreds digit of 6235556?
5
What is the units digit of 2148311?
1
What is the hundred thousands digit of 150828?
1
What is the thousands digit of 12091?
2
What is the tens digit of 992536?
3
What is the hundred thousands digit of 819808?
8
What is the thousands digit of 27730226?
0
What is the millions digit of 1100866?
1
What is the millions digit of 1039439?
1
What is the ten millions digit of 11750179?
1
What is the hundreds digit of 453655?
6
What is the tens digit of 652423?
2
What is the units digit of 163458?
8
What is the ten thousands digit of 145639?
4
What is the ten thousands digit of 408466?
0
What is the millions digit of 5651304?
5
What is the ten thousands digit of 585053?
8
What is the ten thousands digit of 6847341?
4
What is the thousands digit of 6502151?
2
What is the hundreds digit of 814823?
8
What is the hundreds digit of 607?
6
What is the thousands digit of 315930?
5
What is the ten thousands digit of 644258?
4
What is the units digit of 5399062?
2
What is the ten thousands digit of 2180479?
8
What is the hundred thousands digit of 5116518?
1
What is the hundred thousands digit of 853380?
8
What is the units digit of 344264?
4
What is the ten thousands digit of 9639516?
3
What is the units digit of 1086291?
1
What is the tens digit of 54308?
0
What is the hundred thousands digit of 1331825?
3
What is the thousands digit of 56533?
6
What is the ten thousands digit of 6230651?
3
What is the hundreds digit of 554916?
9
What is the units digit of 14361?
1
What is the tens digit of 59548?
4
What is the units digit of 964447?
7
What is the units digit of 23963244?
4
What is the tens digit of 46742?
4
What is the thousands digit of 113150?
3
What is the ten thousands digit of 2576173?
7
What is the hundred thousands digit of 750486?
7
What is the hundreds digit of 75450?
4
What is the hundred thousands digit of 752457?
7
What is the ten thousands digit of 501011?
0
What is the hundred thousands digit of 2076678?
0
What is the ten thousands digit of 444200?
4
What is the tens digit of 25470373?
7
What is the ten thousands digit of 4249773?
4
What is the hundreds digit of 12868820?
8
What is the ten thousands digit of 436711?
3
What is the ten thousands digit of 296246?
9
What is the units digit of 122855?
5
What is the tens digit of 4259915?
1
What is the hundreds digit of 1829893?
8
What is the hundreds digit of 2944661?
6
What is the thousands digit of 271556?
1
What is the hundreds digit of 2218188?
1
What is the ten thousands digit of 1513736?
1
What is the units digit of 10024158?
8
What is the tens digit of 2720?
2
What is the hundred thousands digit of 9052698?
0
What is the thousands digit of 2367790?
7
What is the hundreds digit of 14842615?
6
What is the thousands digit of 19043579?
3
What is the ten thousands digit of 14978098?
7
What is the ten thousands digit of 8805280?
0
What is the ten thousands digit of 3141159?
4
What is the units digit of 70703?
3
What is the millions digit of 2477319?
2
What is the ten thousands digit of 1771109?
7
What is the hundreds digit of 142009?
0
What is the hundreds digit of 328152?
1
What is the ten millions digit of 15909310?
1
What is the ten thousands digit of 39256781?
5
What is the thousands digit of 1258720?
8
What is the thousands digit of 372065?
2
What is the thousands digit of 72222?
2
What is the ten thousands digit of 513102?
1
What is the tens digit of 4874802?
0
What is the ten thousands digit of 3472101?
7
What is the thousands digit of 268559?
8
What is the units digit of 330568?
8
What is the ten thousands digit of 369 | {
"pile_set_name": "DM Mathematics"
} |
PM and 6:13 AM?
408
What is 59 minutes after 4:40 AM?
5:39 AM
How many minutes are there between 2:03 AM and 9:57 AM?
474
What is 53 minutes before 11:35 PM?
10:42 PM
What is 490 minutes before 4:28 PM?
8:18 AM
How many minutes are there between 3:02 PM and 2:24 AM?
682
What is 252 minutes before 3:10 AM?
10:58 PM
How many minutes are there between 9:07 PM and 11:54 PM?
167
What is 63 minutes before 2:46 PM?
1:43 PM
How many minutes are there between 5:29 PM and 4:13 AM?
644
How many minutes are there between 2:57 AM and 6:28 AM?
211
How many minutes are there between 10:19 PM and 9:19 AM?
660
What is 470 minutes after 5:12 AM?
1:02 PM
What is 89 minutes after 11:36 PM?
1:05 AM
What is 342 minutes after 2:39 AM?
8:21 AM
How many minutes are there between 6:57 PM and 8:06 PM?
69
How many minutes are there between 2:38 AM and 12:56 PM?
618
How many minutes are there between 3:18 AM and 1:42 PM?
624
What is 25 minutes before 9:52 PM?
9:27 PM
How many minutes are there between 4:25 AM and 3:42 PM?
677
How many minutes are there between 2:48 PM and 7:41 PM?
293
How many minutes are there between 7:21 PM and 4:19 AM?
538
How many minutes are there between 9:17 PM and 5:57 AM?
520
How many minutes are there between 6:49 AM and 1:35 PM?
406
How many minutes are there between 6:54 PM and 2:41 AM?
467
What is 667 minutes after 1:16 AM?
12:23 PM
What is 217 minutes after 6:41 AM?
10:18 AM
How many minutes are there between 10:34 AM and 10:14 PM?
700
What is 680 minutes after 7:34 PM?
6:54 AM
How many minutes are there between 1:34 AM and 3:49 AM?
135
How many minutes are there between 11:28 AM and 3:39 PM?
251
What is 676 minutes before 11:39 AM?
12:23 AM
How many minutes are there between 12:07 AM and 12:11 AM?
4
How many minutes are there between 4:51 AM and 5:31 AM?
40
How many minutes are there between 3:04 AM and 8:27 AM?
323
What is 249 minutes before 3:11 AM?
11:02 PM
How many minutes are there between 6:22 PM and 7:53 PM?
91
How many minutes are there between 11:22 PM and 8:08 AM?
526
What is 388 minutes before 10:23 PM?
3:55 PM
How many minutes are there between 12:30 AM and 11:32 AM?
662
How many minutes are there between 3:37 AM and 11:03 AM?
446
How many minutes are there between 11:59 AM and 5:40 PM?
341
What is 481 minutes before 10:52 PM?
2:51 PM
What is 445 minutes after 6:17 PM?
1:42 AM
How many minutes are there between 1:47 AM and 11:52 AM?
605
How many minutes are there between 12:16 PM and 2:38 PM?
142
How many minutes are there between 6:14 PM and 11:14 PM?
300
How many minutes are there between 2:08 AM and 4:30 AM?
142
What is 331 minutes before 7:00 AM?
1:29 AM
What is 398 minutes after 4:50 PM?
11:28 PM
What is 159 minutes after 12:31 AM?
3:10 AM
How many minutes are there between 8:41 AM and 5:50 PM?
549
How many minutes are there between 11:20 PM and 10:23 AM?
663
What is 185 minutes before 3:01 PM?
11:56 AM
How many minutes are there between 11:03 AM and 7:08 PM?
485
How many minutes are there between 12:50 AM and 1:34 AM?
44
How many minutes are there between 2:00 AM and 2:40 AM?
40
How many minutes are there between 9:53 AM and 2:27 PM?
274
What is 625 minutes before 12:16 PM?
1:51 AM
What is 660 minutes after 10:24 PM?
9:24 AM
How many minutes are there between 9:34 PM and 10:09 PM?
35
What is 373 minutes after 4:06 PM?
10:19 PM
How many minutes are there between 2:52 AM and 4:20 AM?
88
What is 9 minutes after 7:11 AM?
7:20 AM
What is 20 minutes after 12:12 AM?
12:32 AM
How many minutes are there between 11:53 AM and 4:05 PM?
252
What is 331 minutes after 10:18 AM?
3:49 PM
What is 693 minutes after 12:25 AM?
11:58 AM
What is 564 minutes after 9:18 AM?
6:42 PM
How many minutes are there between 5:55 PM and 6:46 PM?
51
What is 155 minutes after 5:16 AM?
7:51 AM
What is 625 minutes after 3:46 AM?
2:11 PM
How many minutes are there between 11:05 PM and 9:12 AM?
607
How many minutes are there between 8:23 AM and 6:18 PM?
595
What is 293 minutes after 12:39 PM?
5:32 PM
How many minutes are there between 2:18 AM and 12:41 PM?
623
How many minutes are there between 6:11 PM and 10:37 PM?
266
What is 680 minutes before 12:30 PM?
1:10 AM
How many minutes are there between 5:42 AM and 10:28 AM?
286
What is 36 minutes after 7:53 AM?
8:29 AM
What is 699 minutes before 6:13 AM?
6:34 PM
How many minutes are there between 1:53 PM and 9:46 PM?
473
What is 485 minutes after 1:30 AM?
9:35 AM
How many minutes are there between 3:41 PM and 4:29 PM?
48
What is 123 minutes before 9:36 PM?
7:33 PM
What is 355 minutes before 3:20 PM?
9:25 AM
How many minutes are there between 2:15 PM and 2:55 PM?
40
What is 697 minutes after 1:21 PM?
12:58 AM
What is 583 minutes after 1:35 AM?
11:18 AM
What is 446 minutes before 7:03 AM?
11:37 PM
What is 44 minutes before 8:16 AM?
7:32 AM
What is 6 minutes before 11:08 PM?
11:02 PM
How many minutes are there between 5:55 PM and 6:45 PM?
50
What is 91 minutes after 6:53 AM?
8:24 AM
How many minutes are there between 5:11 AM and 9:36 AM?
265
What is 553 minutes after 4:09 AM?
1:22 PM
What is 458 minutes before 8:16 AM?
12:38 AM
What is 10 minutes before 9:50 PM?
9:40 PM
How many minutes are there between 6:41 AM and 3:18 PM?
517
What is 535 minutes before 1:43 PM?
4:48 AM
How many minutes are there between 11:09 PM and 1:42 AM?
153
How many minutes are there between 4:26 AM and 9:05 AM?
279
What is 572 minutes after 2:02 AM?
11:34 AM
How many minutes are there between 4:40 AM and 8:17 AM?
217
How many minutes are there between 11:03 AM and 12:31 PM?
88
How many minutes are there between 7:06 AM and 10:43 AM?
217
What is 607 minutes before 8:44 AM?
10:37 PM
How many minutes are there between 3:51 AM and 12:49 PM?
538
What is 655 minutes before 2:44 AM?
3:49 PM
What is 557 minutes after 11:00 PM?
8:17 AM
How many minutes are there between 11:56 AM and 8:46 PM?
530
What is 697 minutes after 2:18 AM?
1:55 PM
How many minutes are there between 12:54 PM and 9:42 PM?
528
What is 564 minutes before 11:34 AM?
2:10 AM
How many minutes are there between 6:58 AM and 1:14 PM?
376
What is 38 minutes before 10:16 PM?
9:38 PM
How many minutes are there between 7:31 PM and 7:43 PM?
12
What is 670 minutes before 7:20 AM?
8:10 PM
How many minutes are there between 11:02 PM and 1:48 AM?
166
How many minutes are there between 3:59 PM and 10:26 PM?
387
How many minutes are there between 6:30 AM and 3:16 PM?
526
How many minutes are there between 5:57 AM and 11:22 AM?
325
How many minutes are there between 11:10 PM and 7:56 AM?
526
How many minutes are there between 11:09 PM and 1:34 AM?
145
How many minutes are there between 1:38 PM and 1:20 AM?
702
How many minutes are there between 11:48 AM and 9:57 PM?
609
What is 117 minutes before 3:08 PM?
1:11 PM
How many minutes are there between 9:22 PM and 1:59 AM?
277
How many minutes are there between 1:43 AM and 2:35 AM?
52
How many minutes are there between 3:35 PM and 5:45 PM?
130
How many minutes are there between 1:13 PM and 8:13 PM?
420
What is 558 minutes before 5:47 AM?
8:29 PM
How many minutes are there between 5:40 AM and 7:31 AM?
111
How many minutes are there between 6:54 PM and 9:55 PM?
181
How many minutes are there between 3:23 AM and 6:46 AM?
203
How many minutes are there between 7:16 PM and 11:53 PM?
277
How many minutes are there between 12:48 PM and 5:12 PM?
264
How many minutes are there between 1:55 PM and 2:07 PM?
12
How many minutes are there between 7:11 AM and 8:47 AM?
96
How many minutes are there between 6:38 AM and 8:53 AM?
135
How many minutes are there between 7:34 AM and 12:38 PM?
304
What is 243 minutes after 1:22 PM?
5:25 PM
How many minutes are there between 9:34 AM and 11:21 AM?
107
How many minutes are there between 10:55 AM and 3:10 PM?
255
What is 624 minutes before 4:36 AM?
6:12 PM
What is 298 minutes after 12:29 PM?
5:27 PM
What is 630 minutes before 10:20 PM?
11:50 AM
How many minutes are there between 8:15 AM and 5:43 PM?
568
What is 60 minutes after 1:29 PM?
2:29 PM
How many minutes are there between 10:55 AM and 11:39 AM?
44
What is 586 minutes after 2:12 AM?
11:58 AM
What is 491 minutes after 7:12 PM?
3:23 AM
How many minutes are there between 8:09 PM and 11:01 PM?
172
What is 586 minutes after 11:15 AM?
9:01 PM
How many minutes are there betwe | {
"pile_set_name": "DM Mathematics"
} |
ors of v?
2, 5
Suppose 0 = 14*x - 167 - 2731. List the prime factors of x.
3, 23
Suppose 0 = -t + 59 - 18. List the prime factors of t.
41
Suppose 23 = 2*k - 233. What are the prime factors of k?
2
Let l = -19 + 74. Let v = -33 + l. What are the prime factors of v?
2, 11
Let h = 83 + -57. Let v(l) = l**2 + 3*l - 9. Let o be v(6). Let a = o - h. What are the prime factors of a?
19
Let c = -107 - -189. List the prime factors of c.
2, 41
Let d(n) = n**2 - 4*n + 3. Let f = -4 + 8. Let y be d(f). Let m = 2 + y. What are the prime factors of m?
5
Let h(y) = -9*y - 6. Let d be h(6). Let z = d - -105. Suppose j + z = 4*j. What are the prime factors of j?
3, 5
Let n be (-7)/(-2) + (-4)/(-8). Suppose -d + 58 = 2*q, -4*d + 18 = n*q - 98. Let h = q + -14. What are the prime factors of h?
3, 5
Suppose -272 = -0*c - 2*c - 4*h, 0 = -5*h - 20. What are the prime factors of c?
2, 3
Suppose -170 = -3*k + 5*w, k - 125 = -k + w. List the prime factors of k.
5, 13
Let b(k) = 13*k - 4. Let v be b(8). Suppose 5*i - 3*u - v = 0, -71 = -2*i - 6*u + u. List the prime factors of i.
23
Let m be ((-2)/4)/((-3)/12). Suppose -3*q = -m*q - 13. List the prime factors of q.
13
Suppose f - 2*u = -5*u, u = 3*f. Suppose 2*q = -3*q + 10. Suppose 2*d + q*d - 44 = f. What are the prime factors of d?
11
Let q = 1 + 0. Let t = q + 2. Suppose -2 = -t*v + 34. List the prime factors of v.
2, 3
Let x(l) = 2*l - 3 - 6 + 1. Let y be x(7). Let q = 0 + y. List the prime factors of q.
2, 3
Let n = -3 - -7. Suppose -51 = -5*w - 2*h, 18 = 3*w - n*h + h. Let q = w - 4. List the prime factors of q.
5
Let o(t) = t + 16. Let x be 6/(-15) - (-6)/15. List the prime factors of o(x).
2
Suppose -1 = 3*l - 5*f - 78, -f + 2 = 0. Let m = 17 - l. Let w = -2 - m. What are the prime factors of w?
2, 5
Suppose 9 = 4*p + 1. Suppose 0 = -p*t - t + 57. List the prime factors of t.
19
Let u = 17 + -6. Suppose 0 = 4*z + 2*h + u - 27, 3*z - 4*h - 34 = 0. What are the prime factors of z?
2, 3
Let q(l) be the third derivative of l**4/12 - 5*l**3/6 - 3*l**2. Suppose 5*n - n - 4*r - 32 = 0, 0 = -5*n + 3*r + 38. What are the prime factors of q(n)?
3
Suppose -17 = 4*n + 4*k - 69, 5*n - 73 = 3*k. Let j be (16/n + -2)*7. What are the prime factors of (-22)/(-6) - 2/j?
2
List the prime factors of 4/(3 + -1)*(2 - -9).
2, 11
Let i(k) = 3*k + 13*k**3 - 1 + 2*k - 4*k + k**2. Let g be i(1). Let v = g + -8. List the prime factors of v.
2, 3
Suppose 0*u - 39 = -3*u. Let f = u - -2. Suppose 2*w = 35 - f. What are the prime factors of w?
2, 5
Let w(l) = 5*l - 10. List the prime factors of w(6).
2, 5
List the prime factors of 3050/45 - 4/(-18).
2, 17
Let b be (23*-2 - -3) + -1. Let r = -22 - b. List the prime factors of r.
2, 11
Let l = -55 + 90. Suppose -v = -2*v + 52. Let i = v - l. List the prime factors of i.
17
List the prime factors of 1/4 + (-621)/(-12).
2, 13
Let f be (-1)/(-3)*(2 + -5). Let v(i) be the third derivative of i**5/4 + i**3/6 - 3*i**2. What are the prime factors of v(f)?
2
Let s = -10 - -17. What are the prime factors of s?
7
Let b(q) = -q**3 + 9*q**2 + 3*q - 3. Let m be b(9). What are the prime factors of 582/14 - m/(-56)?
2, 3, 7
Suppose -3*g - 2*f = -0*f + 15, -4*f - 12 = 0. Suppose k = -3*k. Let b = k - g. What are the prime factors of b?
3
Let o be 3/1 + 1 + 121. Suppose 0 = -5*w + 4*m + o, -5*w + 42 = 5*m - 38. List the prime factors of w.
3, 7
Let b be (-6)/(-3)*(-1)/2. What are the prime factors of (2/b + 8)*1?
2, 3
Suppose u - 15 = -2*u. Suppose 0 = -0*o - o + u. List the prime factors of (-14)/o*15/(-3).
2, 7
Let w = 6 - 4. Suppose -4*k = -w*r + 10, -r = -k + 3*k - 9. Let s = 10 - r. What are the prime factors of s?
3
Let n be (-5)/((-10)/(-102)) + 1. Let b = -34 - n. List the prime factors of b.
2
Let a(j) = j - 8. Let t be a(6). Let n = t - -6. Suppose -4*c = n*o, -4*c - o + 2 = 2*o. What are the prime factors of c?
2
Suppose -4*k + 32 = 12, 2*k = -i + 63. List the prime factors of i.
53
Suppose 164 = 5*i + 19. What are the prime factors of i?
29
Let u(h) = -4*h**2 - 10*h + 9. Let k(s) = 3*s**2 + 10*s - 8. Let n(f) = 5*k(f) + 4*u(f). Let i be (-1)/(-4) - 31/(-4). What are the prime factors of n(i)?
2, 3
Let u(p) = -p**2 - 6*p - 4. Let v = 0 + -4. Let j be u(v). Suppose j*q - 22 = 5*w, -23 + 8 = -3*q + 3*w. What are the prime factors of q?
3
Let r(v) = -v - 2. Let f be r(-5). Suppose f*n = 4*s + 1, -n - 5*s + 9 = -23. What are the prime factors of n?
7
Let u(b) = -b**2 - 13*b + 31. List the prime factors of u(-13).
31
Suppose -15 = 5*f, -4*q + f = -f - 786. List the prime factors of q.
3, 5, 13
Suppose -2*p + 4*p - 5*m = 31, -4*p = -5*m - 47. List the prime factors of p.
2
Suppose -2*p = -5*p - 5*y + 31, -3*p + 5*y = 19. Suppose -p*d - 16 = -6*d. Suppose -3*z + 2*c + d = 0, 2 = z + 4*c - 4. What are the prime factors of z?
2
Suppose 4*t - 20 = 3*l + 18, 4*l = -t. Let a = -2 + t. List the prime factors of a.
2, 3
What are the prime factors of (7 - -11) + -1 + 0?
17
Let w(p) = 2*p**2 - 4*p. Let g be w(4). Let j = g + 24. List the prime factors of j.
2, 5
Let i be ((-2)/5)/((-1)/5). Suppose 3*n = -3*k + 21, 4*k - 3*n - 8 = -i*n. Suppose -k*q + 18 = -6. What are the prime factors of q?
2
Let i(j) = 2*j**2 - 2*j + 1. Let o be i(2). Suppose o*l - 20 = 240. Suppose 0 = -5*v - 2*z + l, 2*z + 68 = 4*v - 3*z. What are the prime factors of v?
2, 3
Let i be 1016/28 - 2/7. Let o be -1 - 1/(-1 + 0). Suppose -4*d + o*d + i = 0. What are the prime factors of d?
3
Let h = -22 - -57. List the prime factors of 113/7 - 5/h.
2
Suppose -1 = 2*k + 9, -4*u + 4*k = -40. Let b = -1 + u. Suppose z - b = 4. List the prime factors of z.
2
Let g = -5 + 3. Let o = 4 + g. What are the prime factors of o?
2
Suppose 2*b - 3 = b. Suppose -2*t = -29 + b. What are the prime factors of t?
13
Let y = -94 + 168. What are the prime factors of y?
2, 37
Suppose -2 = 2*p - 6. Let t be p/(-3) - 112/(-6). Suppose t = q + 2*q. What are the prime factors of q?
2, 3
Suppose -4*t = -1703 + 123. What are the prime factors of t?
5, 79
Suppose 3*m = 3*w + 102, -4*m - 3*w = -2*w - 156. Suppose 5*x - 3*j - m = 0, 5*j + 30 = x + 4*x. What are the prime factors of x?
2, 5
Let c(w) = w**3 - 3*w**2 - 6*w + 2. Let b be c(5). Let j = b - 8. What are the prime factors of j?
2, 7
Suppose 0 = -3*y + 5*s + 45, -2*s = -3*s. Let c = y + -5. What are the prime factors of c?
2, 5
Let h = -24 - -29. Suppose 0 + 14 = 3*q - 2*t, h*q + 4*t - 16 = 0. List the prime factors of q.
2
Suppose a - 5 = -3. Suppose -3*r - a*c - c = -72, c - 111 = -4*r. Let y = r + -11. What are the prime factors of y?
2, 3
Let a be 2*(-7)/(-2) + -2. Suppose 0 = 2*o - a*u - 44, 2*o - 32 = -u - 0. List the prime factors of o.
17
Suppose -6*j + 4*j + 236 = 0. List the prime factors of j.
2, 59
Let r(b) = b**2 + 2*b + 3. Let u(l) = -l**3 - 4*l**2 - 3*l - 1. Let i be u(-2). Let f be r(i). Suppose -3*d = -f*d + 57. What are the prime factors of d?
19
Suppose 180 = 4*v - 88. List the prime factors of v.
67
Suppose 0 = -2*d - 2*d. Suppose 0*a - a = d. Suppose a = 5*z + 40 - 105. List the prime factors of z.
13
Let m(q) = q - 3. Let n be m(5). Suppose 6*h - n*h = 136. List the prime factors of h.
2, 17
Suppose 0*k - 4*k + 12 = 0. What are the prime factors of 8 - 1*(k + -2)?
7
Let p = 465 - 277. What are the prime factors of p?
2, 47
Let y(d) = d**3 + 3*d**2 - d - 2. Let v be (0 + 1)*-2 + -1. Let a be y(v). Suppose -t + 5*f + 25 = 0, -f = t + a - 2. What are the prime factors of t?
5
Let j be (-18)/(-21) + (-3)/(-21). Let v = j - 5. Let d(u) = -4*u + 3. List the prime factors of d(v).
19
Let g = -2 + 6. Let t(v) = 2*v - 5. Let x be t(10). List the prime factors of (54/x)/(g/10).
3
Let j = 0 + 0. Let i = -40 - -45. Suppose -5*c - 22 = -i*r + 2*r, -2*r - 4*c = j. List the prime factors of r.
2
Suppose 4*l - 7*l + 12 = 0. Suppose 11 = f + 3*s - 4, -5*f - l*s = -64. List the prime factors of f.
2, 3
Suppose -n - 123 = -4*n. List the prime factors of n.
41
What are the prime factors of (-9)/3 + 100 + -2?
5, 19
Let i be ((-1)/2)/(2/(-12)). Let s = -6 + 9. Suppose -i*t - 2*t = s*j - 6, 0 = 5*j - 3*t - 44. What are the prime factors of j?
7
Suppose 4 = 4*v, 0*p - 3*v = 3*p - 81. What are the prime factors of p?
2, 13
Let o(j) = -4*j + 1. Let p(r) = -r**2 + 4*r + 3. Let a be p(5). What are the prime factors of o( | {
"pile_set_name": "DM Mathematics"
} |
40*x**2. Find the second derivative of b(k) wrt k.
-2082*k
Let n(f) be the first derivative of 225*f**7/7 + f**5 - f**3 - 88*f + 1604. What is the third derivative of n(m) wrt m?
27000*m**3 + 120*m
What is the third derivative of 172*q**2 + 18*q**2 + 2471*q**2 + 666*q**2 + 2050*q**5 wrt q?
123000*q**2
Suppose -r = r - 4. Suppose -52*v - 53*v + 48 = -97*v. Find the third derivative of 11*p**r + 9*p**2 - v*p**2 - 3*p**2 + 26*p**5 wrt p.
1560*p**2
What is the first derivative of -442 + 63780*y**2 - 54147*y**2 - 1775 wrt y?
19266*y
Let n = 17652 + -17650. Let m(p) be the first derivative of -27 + 0*p + 16/3*p**3 - 31/2*p**n. Find the second derivative of m(f) wrt f.
32
Let p(l) = -2*l**2 - 85*l + 29. Let h be p(-42). Differentiate 351 - 20 - 73 - h*t wrt t.
-71
Let h(r) be the first derivative of 0*r**5 - 4*r - 3/2*r**2 - 1/3*r**3 + 45/2*r**6 + 0*r**4 - 69. What is the second derivative of h(l) wrt l?
2700*l**3 - 2
Suppose -2*o - 94 - 34 = 0. Let p = o + 103. Find the first derivative of 47*h**2 - 47*h**2 - 32*h**4 + p wrt h.
-128*h**3
Let p be (-299)/(-414)*(-3)/(-20). Let u(k) be the third derivative of 0*k**5 - 7/6*k**3 + 5*k**2 - p*k**6 + 0*k + 0 + 0*k**4. Differentiate u(r) wrt r.
-39*r**2
Let q(y) be the first derivative of 239*y**5/5 + y**3 - 4616*y + 3593. Differentiate q(k) wrt k.
956*k**3 + 6*k
Let u(n) = 6*n**3 - 3*n**2 + 5*n - 3. Let i be u(1). What is the second derivative of 1 + 16*o - 41*o + 24*o + 2*o**i - 5 + 2*o**4 + 3 wrt o?
40*o**3 + 24*o**2
Let y(n) = -n**3 - n**2 + n - 2. Let g(x) = -335*x**3 - 3*x**2 + 1269*x - 8. Let z(q) = -g(q) + 4*y(q). Find the third derivative of z(u) wrt u.
1986
Let j be (-1 - 165/9)/(12/(-18)). Suppose -2*s + j = d, 3*s - 2*s - 3*d - 4 = 0. What is the third derivative of s*g**5 + 78*g**2 + g**5 - 99*g**2 wrt g?
840*g**2
Suppose 2*p = -2*p + 20. Let q(m) = -7*m + 105. Let j be q(15). What is the third derivative of -9*a**2 - p*a**6 - 27*a**2 + j*a**2 - 6*a**6 wrt a?
-1320*a**3
Let c = -79 - -81. Differentiate -3*y**2 + 5*y - 5*y**2 - 82 + 9*y**c + 0*y with respect to y.
2*y + 5
Suppose -3*t - 4*l + 5 = -7, 2*l - 6 = -4*t. Let y = 10 - t. Find the first derivative of 17*j - 11*j - y*j**3 - 6*j - 40 wrt j.
-30*j**2
Let d(h) = -4*h**3 - 38*h**2 + 85*h - 31. Let j(b) = 3*b**3 + 21*b**2 - 43*b + 16. Let c(p) = -6*d(p) - 11*j(p). Find the second derivative of c(w) wrt w.
-54*w - 6
Let a(k) = -31*k + 96. Let q be a(3). Let p(x) = x + 3. Let g(u) = -29*u**2 + u - 13. Let c(o) = q*p(o) - 3*g(o). Find the first derivative of c(r) wrt r.
174*r
Let r be ((-20)/40)/((-1)/20). Suppose -5*p = 4*k - r, -5*p = -7 - 3. What is the second derivative of -13*c - 25*c**5 - 7*c + k*c wrt c?
-500*c**3
Suppose 3*x - 4*x - 9 = 0. Let d = 11 + x. What is the third derivative of -2*z + 5*z**d - 5*z**3 + 2*z + 0*z**2 wrt z?
-30
Let s(m) = -14*m**3 - 29*m**2 + 3*m - 3. Let i be s(-3). Let h be (-2)/4 + 6/12. What is the third derivative of 0*r - 15*r**2 + h*r + 87*r**4 - i*r**4 wrt r?
-432*r
Let x be (-270)/(-63)*(-2)/((-12)/70). Find the third derivative of -131*p**2 + 10*p**2 - 31*p**3 - x*p**2 + 4*p**2 + 269*p**3 wrt p.
1428
Let t(a) be the second derivative of -a**5/4 - 41*a**3/6 + 491*a**2 + 1029*a. Differentiate t(i) wrt i.
-15*i**2 - 41
What is the second derivative of 1650115 - 55*w - 3*w - 1650115 + 8878*w**3 - 127*w wrt w?
53268*w
Let o be 4/22 + 471/11. Let b = -36 + o. Find the third derivative of -5*g**4 + g**4 + b*g**2 + 6*g**2 wrt g.
-96*g
Let v(i) be the first derivative of 0*i**2 + 0*i**4 - 2/3*i**3 + 87*i - 43/5*i**5 - 95. Find the first derivative of v(a) wrt a.
-172*a**3 - 4*a
Let m = 5 - -24. Let l = m + -30. Let q(k) = k**2 - 1. Let y(g) = -6*g**2 + 5. Let r(t) = l*y(t) - 3*q(t). Find the first derivative of r(w) wrt w.
6*w
Let t(y) be the second derivative of 1625*y**3/6 + 60*y**2 - 10*y + 3. Find the first derivative of t(n) wrt n.
1625
Let m(r) = -r**3 + 20*r**2 + 46*r - 41. Let w be m(22). What is the third derivative of 1016*f**4 - 514*f**4 - 506*f**4 + 13*f**2 - 7*f**w - 7 wrt f?
-96*f - 42
What is the second derivative of 25966*b**2 - 13999*b**2 + 733*b - 14115*b**2 wrt b?
-4296
Let k be (0 - 0)*(-63)/126. Let h(q) be the third derivative of 1/2*q**4 + 0*q - 5/2*q**3 + q**2 + k. What is the derivative of h(x) wrt x?
12
Suppose -31 = -26*c + 21. Find the second derivative of 54*u - 25*u - 41*u**c - u**3 - 14*u**2 wrt u.
-6*u - 110
Let j(v) be the third derivative of 0 - 13/6*v**4 - 68*v**2 + 0*v - 23/60*v**5 + 0*v**3 + 0*v**6 - 1/70*v**7. What is the second derivative of j(o) wrt o?
-36*o**2 - 46
Let x(q) be the first derivative of -110*q**6/3 + q**4 + 15*q**3 - 3*q + 889. What is the third derivative of x(j) wrt j?
-13200*j**2 + 24
Let p(f) be the first derivative of -1/2*f**2 + 0*f**4 - 164*f + 0*f**3 + 37/5*f**5 - 55. Differentiate p(l) with respect to l.
148*l**3 - 1
Let z(k) be the first derivative of -2167*k**4/4 + 128*k**3/3 - 1772. Find the third derivative of z(f) wrt f.
-13002
Let w be ((-99)/4)/((-18)/216). Find the third derivative of -314*h**2 + w*h**2 + 280*h**3 - 78*h**3 + h wrt h.
1212
Let p(a) = 693*a - 1239. Let f(t) = -5*t + 58. Let d be f(12). Let l(w) = -99*w + 177. Let v(n) = d*p(n) - 15*l(n). What is the first derivative of v(b) wrt b?
99
Let k be 1/(15/432) + (-19)/(-95). What is the second derivative of 1 + 41*z + k*z**2 - 6*z - 9*z - 8*z wrt z?
58
Let f(j) be the second derivative of -212*j**7/21 + 7*j**4/12 - 13*j**2 - 2*j - 954. What is the third derivative of f(n) wrt n?
-25440*n**2
Let o be 165/44 + (-1)/(-4). Let y be 3/(30/o)*(10 - 0). What is the second derivative of -4 + y - 15*r + 6*r**2 + 10*r**2 wrt r?
32
Find the first derivative of 4*h**2 - 701 + 37292*h**4 - 140*h**2 + 336 - 37293*h**4 - 385 wrt h.
-4*h**3 - 272*h
What is the third derivative of 2 + 445757*z**3 + 1655*z**2 - 8096*z**4 - 445757*z**3 wrt z?
-194304*z
Let l(z) = -z**2 + 20*z + 99. Let r be l(24). What is the derivative of -j**r + 2 + 3 + 2 + 3*j + 20 wrt j?
-3*j**2 + 3
Let y be (21/14)/((-3)/(-4)). Find the second derivative of 1433 + 30*d + 2*d**y - 1434 - 2*d**2 - 3*d**4 wrt d.
-36*d**2
Let z be -1*(216/(-2) + (-40)/(-8)). Differentiate 66*r - z + 47*r - 8*r wrt r.
105
Let f = 58 - 56. Find the third derivative of -8*m - f*m**2 - 3*m**2 + 8*m - 151*m**3 + 4 - m**2 wrt m.
-906
Let t(u) be the second derivative of 0*u**2 - 1/3*u**3 + 0*u**5 + 0 - 34*u - 11/5*u**6 + 5/12*u**4. Find the third derivative of t(i) wrt i.
-1584*i
Let q(f) = 30 - 2 + f**2 - 2*f**2 - 25*f + 0*f**2. Let j be q(-26). What is the derivative of 23 - 35*n**2 + 80*n**2 - 37*n**j wrt n?
16*n
Let f be (8/2 - 1)/((-15)/(-10)). What is the third derivative of -169 + 120 - p**f + 88 + 3*p**3 - p**5 wrt p?
-60*p**2 + 18
Let r(s) = -s**2 - 3*s + 5. Let j be r(-3). What is the second derivative of 165*m**5 - m - 164*m**j + 15*m**3 - 6*m wrt m?
20*m**3 + 90*m
Let d be -16 + (-2 - -40 - 20). Let c(f) be the first derivative of 10/3*f**3 + 0*f**d - 14 + 29*f. What is the derivative of c(s) wrt s?
20*s
Let o = 1 - 11. Let g be (-2)/o*(-35)/14*-4. Find the second derivative of 9*c - g*c - c**2 + 12*c**2 + 0*c wrt c.
22
Let q(l) be the second derivative of -356*l**4/3 - 27*l**3/2 - 3*l**2/2 - 230*l + 2. Find the second derivative of q(x) wrt x.
-2848
Let x(n) be the second derivative of -953*n**5/20 - n**4/6 - n**3/6 + 489*n**2/2 + 39*n + 38. What is the second derivative of x(f) wrt f?
-5718*f - 4
Let k be 4 + 0 + (-30)/10 + 30. Find the third derivative of 0*i**3 + 8*i**2 + k*i**3 + 28*i**3 - 8*i + 5*i wrt i.
354
Find the second derivative of 2*p + 169*p**3 - 81 + 3*p**2 - p**4 + 170*p**3 + 185*p**3 + 1155 + 242 wrt p.
-12*p**2 + 3144*p + 6
Let v(a) be the second derivative of 3986*a**6/15 - 6671*a**2/2 + 131*a + 2. Differentiate v(y) wrt y.
31888*y**3
Find the second derivative of -6*o**3 + 744*o**5 - 1054*o - 2222*o**5 + 746*o**5 + 762*o**5 wrt o.
600*o**3 - 36*o
Suppose 3*z - 6 = -2*g, 0 = 5*z - g - 3 - 7. Find the first derivative of -k**4 + 15 + 87 + 16*k**z + 4*k**2 - 28 wrt k.
-4*k**3 + 40*k
Suppose -5*b - 5*j = -0*b + 25, -14 = 4*b - 2*j. Let o be b/(-3)*(196/8 + 1). Find the first derivative of o - 19 - 3*a**3 - 6*a**3 wrt a.
-27*a**2
Suppose 0 = 6*b - 651 - 627. What is the third derivative of -335*z**3 + 173*z**3 + b*z**3 - 1 | {
"pile_set_name": "DM Mathematics"
} |
) = -z**3 + 8*z**2 - z + 4. Let m = -2 - -10. Let i be l(m). Sort 1, -1, i in increasing order.
i, -1, 1
Let z = -176 - -172. Sort z, -3, -7, 0 in descending order.
0, -3, z, -7
Let o = 8 - 9. Suppose -v - 13 = -3*v - 3*x, -5*v = 3*x - 19. Let t be 56/(-35) + 6/(-15). Sort o, t, v in increasing order.
t, o, v
Let b = 840 - 844. Let j(y) = 5*y**2 + y. Let m be j(-1). Let k be (-1 - (-6)/m)*-10. Put k, -0.2, b in increasing order.
k, b, -0.2
Let q = 1 - -1. Let c = -79/200 - 1/200. Put q, c, 0, 7 in decreasing order.
7, q, 0, c
Let o(i) = -i**2 - 23*i + 140. Let k be o(5). Sort 67, -4, k in increasing order.
-4, k, 67
Suppose 4 = 4*i - 16. Suppose 0 = -z + 11 - i. Let v be (5/(-30))/(z/9). Sort 3, -5, v in descending order.
3, v, -5
Let w = -45 - -51. Let p = 22 + -26. Sort w, p, -3 in decreasing order.
w, -3, p
Let g = -1.67 - -1.7. Let o = g - 0.06. Put o, 0.3, -2/5 in descending order.
0.3, o, -2/5
Let q(d) = 11*d**2 - 10*d + 18. Let i be q(3). Sort 2, i, 0 in decreasing order.
i, 2, 0
Suppose 3*o + 5*b - 7 = 2, -o + 4*b = 14. Let g be -2 + 0 + (o - 23/(-5)). Put g, 0.4, 2/9, -4/7 in increasing order.
-4/7, 2/9, 0.4, g
Let g be (32/(-12))/(4/(-6)). Suppose 4*h = 4*b + 16, -2*b + 3*h + 1 = g*h. Let v be 10/(6/(-3)*b). Put -1, 1, v in descending order.
v, 1, -1
Let t = 1.1 + -1.6. Let h = 5.88 + 0.12. Let d = h + -5.9. Sort -5, t, d.
-5, t, d
Let x(q) = 3*q + 86. Let c be x(-27). Sort c, 2, 1, -10.
-10, 1, 2, c
Suppose -m - 2*p + 24 = 3*m, 5*m = -4*p + 30. Suppose 15 = 3*g + m. Let q be ((-18)/21)/2 + 0. Sort q, -2, g in increasing order.
-2, q, g
Let n = 12/53 + -89/159. Put 5/3, 1/11, n, 0.1 in ascending order.
n, 1/11, 0.1, 5/3
Let w be (-3 + -3)*6/(-4). Suppose w + 23 = 8*n. Let t(h) = -h**2 - 5*h + 2. Let o be t(-5). Put -4, o, n in descending order.
n, o, -4
Suppose p = -11 + 16. Sort -17, p, -3, 2 in increasing order.
-17, -3, 2, p
Let u(h) be the first derivative of -h**4/4 - h**3 + h**2 + 2*h - 1. Let n be u(-3). Put n, 2, 5, 0 in decreasing order.
5, 2, 0, n
Let f = -2 - -2. Suppose 7 = -5*n - 23. Let g = n + 1. Put f, -1, g in decreasing order.
f, -1, g
Let m = -2342 + 4683/2. Let g = -3 - -3.04. Let v = -2/7 + 15/28. Put g, v, m in descending order.
v, g, m
Suppose -30*m + 20 = -26*m. Put -2, m, 101 in descending order.
101, m, -2
Let v(u) = 3*u**2 - 3*u - 1. Let t be v(1). Sort t, -1/8, -0.1 in descending order.
-0.1, -1/8, t
Let q = 94 - 88.9. Let h = q - 6.1. Put -3/2, -3, h in descending order.
h, -3/2, -3
Suppose -62 = -5*j + 203. Put 4, 2, j in ascending order.
2, 4, j
Let m = 9 - 5. Suppose 0 = -3*w - 0*w + 5*o + 37, 4*o = -5*w. Let q be ((-2)/w)/((-8)/(-16)). Put m, -5, q in increasing order.
-5, q, m
Let v(c) = -3*c - 45. Let t be v(-16). Sort t, 27, 2 in increasing order.
2, t, 27
Let p = -0.05 + -2.75. Let k = 0.8 + p. Let x be (4/50)/(3/45*-1). Sort x, k, 1 in descending order.
1, x, k
Let p(z) = z**2 - 11*z - 1. Let a be p(10). Let r be 4/2*a/(-2). Sort r, 3, 4 in decreasing order.
r, 4, 3
Let q(z) = -4*z**2 + 243*z + 57. Let v be q(61). Put 13, v, 0, -3 in descending order.
13, 0, -3, v
Let g(k) = k**2 + 22*k + 123. Let i be g(-13). Suppose 3*v + 0*v + 6 = 0. Let f be (v/i)/(5/(-45)). Sort 2, 11, f.
2, f, 11
Let q = 5124 + -5100.89. Let w = -23 + q. Let h = 2.89 + w. Put -1, 1/3, h in increasing order.
-1, 1/3, h
Let d = 2.7 + 0.3. Let j = 2.07 + 0.03. Let c = -0.9 - j. Put c, d, -2/3 in ascending order.
c, -2/3, d
Let i = 7 + -5. Let c be 5/(-2) - (-22)/(-44). Sort c, i, 1.5.
c, 1.5, i
Let i be (-44)/(-10) + (-12)/(-20). Suppose 0 = i*q - b - 12, q - 2*b + 2 = -1. Sort -1, q, -3, -2.
-3, -2, -1, q
Let m = -2735 + 2731. Sort m, -8, 1 in decreasing order.
1, m, -8
Let x(s) = -s + 22. Let g be x(-8). Let l be 1 + g/(-9) + -5. Sort l, -2/5, -0.3 in increasing order.
l, -2/5, -0.3
Let u be 1*2 + (-11)/7. Let b be ((-3)/((-105)/14))/(3 - 2). Sort 3, b, u in increasing order.
b, u, 3
Suppose -3 = -5*b + 2*a + 4, -2*b + a + 2 = 0. Suppose -21*n = -3*n. Put b, 2, n, 1 in descending order.
b, 2, 1, n
Let w be (1700/(-55))/5 + (6 - 0). Sort -166, -4/3, 4/9, w in decreasing order.
4/9, w, -4/3, -166
Let f = 0.49 - 4.19. Let l = 8.7 + f. Put l, 1/2, -0.2 in increasing order.
-0.2, 1/2, l
Suppose 16*q + 5*u = 18*q - 54, -5*u - 37 = -q. Sort 1, -3, 23, q in ascending order.
-3, 1, q, 23
Let r = -1 - -4. Let b = 7195 + -7193. Sort -2/5, r, b in decreasing order.
r, b, -2/5
Let g = -772 - -776. Sort g, -1, -9, -4 in descending order.
g, -1, -4, -9
Let k(o) = -4*o - 1. Let w be k(1). Let f(q) = q**2 - 14*q + 3. Suppose 2*m + 7*x - 8 = 3*x, 5*x = -2*m + 3. Let z be f(m). Sort z, 2, w.
w, 2, z
Suppose 4 = 2*o - 2. Suppose 5*v = 27 - 17. Suppose -v*y + 7*y + 4 = 3*g, 5*y = -3*g + 14. Put 8, o, y in decreasing order.
8, o, y
Let q be 1/4 + 189/144*-4. Put q, -1599, 5 in decreasing order.
5, q, -1599
Let h = -33 - -132. Let c = -98.6 + h. Sort 1/2, 0.2, c.
0.2, c, 1/2
Suppose 0 = -4*z + 4 + 20. Let t = 4 - z. Suppose 0 = -s - 2*s. Put s, -1, t in decreasing order.
s, -1, t
Let v = -193 - -2893/15. Sort 7, 4, v in descending order.
7, 4, v
Let a = 1.5 + -1. Let p(g) = -g - 7. Let i be p(12). Let r = i + 22. Sort r, a, 5 in decreasing order.
5, r, a
Let p be (-25)/(-190)*(-4)/(-5). Let w = 1411/6 - 236. Put p, 4/7, w in decreasing order.
4/7, p, w
Suppose 2*g + 738 = 740. Put 34, g, 0 in descending order.
34, g, 0
Let f(v) = 12*v - 23. Let n be f(2). Let k(x) = -2*x**3 - x**2 + x. Let y be k(n). Sort -5, -3, y in decreasing order.
y, -3, -5
Let x = -125 + 125.3. Sort -0.001, x, 0, 2 in decreasing order.
2, x, 0, -0.001
Let u be 10/4 - 3/6. Let n be 0/((-20)/6*(36/(-10) + 3)). Suppose g + 2 = -g. Sort u, g, n in increasing order.
g, n, u
Let l = -0.69 + 0.79. Let j = l + 4.9. Put -1/4, 0.1, 1, j in decreasing order.
j, 1, 0.1, -1/4
Suppose 0 = 2*p + 4*w - 2*w - 22, 0 = 4*p - 2*w - 26. Suppose -3*k + 25 = -p*k. Suppose 2*i - 12 = 3*m, -4*i - 3*m + 6*m + 12 = 0. Sort k, i, 2.
k, i, 2
Let x = 0.51 - 0.5. Let n = 2.3 - 1.8. Sort x, n, 5.
x, n, 5
Suppose 0 = 2*b - 4 - 34. Let s = 15 - b. Suppose 3*l + 4*r = -l + 4, -l = -4*r + 19. Sort 1, l, s in decreasing order.
1, l, s
Let m = -2328 - -2330. Sort 106, m, 0 in decreasing order.
106, m, 0
Let j(v) = 2*v**3 - 7*v**2 - v + 4. Let u be j(5). Let a = u + -299/4. Sort -0.5, a, -1, -0.2.
-1, a, -0.5, -0.2
Let l = -10 + 22. Let d = l - 5. Suppose d*z + 10 = 2*z. Put -1, 3, z in decreasing order.
3, -1, z
Let n = 1632 + -1629. Put n, 4, -3, -43 in decreasing order.
4, n, -3, -43
Let d = 3 - 8. Let x = -6.6 + 6.489. Let m = x + 0.031. Put m, d, 4 in descending order.
4, m, d
Let y = -45 - -74. Let j = 28 - y. Sort j, -8, 3 in descending order.
3, j, -8
Let u be -1 + (2 - (0 - -1)). Let j = 28 + -25. Sort j, u, -1 in descending order.
j, u, -1
Let g(u) = -5*u - 127*u**2 + 0*u + 0*u - 1 + 3*u. Let t be g(-1). Let c be (-2)/(-7) - (-57)/t. Put c, 0.4, 0.3 in ascending order.
c, 0.3, 0.4
Let d be ((-184)/20 - -4)*-10. Let f be 5/(5 + d/(-10)). Put f, -1, -5, 5 in decreasing order.
5, -1, -5, f
Let w(o) = 77*o + 82. Let l be w(-1). Put l, -4, -5, -9 in decreasing order.
l, -4, -5, -9
Let y(x) = 50*x + 144. Let k be y(-3). Sort -10, -1, 1, k.
-10, k, -1, 1
Let h = -309 + 314. Let z = 0 - -1. Put z, h, -3 in ascending order.
-3, z, h
Suppose -3*o - q + 29 = 0, -25*o - q - 31 = -28*o. Put 2, 0, -1, o in increasing order.
-1, 0, 2, o
Suppose f = 5*f + y - 8, -3*f = -2*y - 17. Suppose 3*h = 2*r - 6*r + 42, r - 51 = -f*h. Let u be (2/h)/((-2)/(-4)). Put -0.5, 2/11, u in increasing order.
-0.5, 2/11, u
Let h be 24/14 - 78/(-273). Let f be (((-33)/(-30))/11)/(1 + -2). Put -0.2, f, h in decreasing order.
h, f, -0.2
Let r = 1703.2 + -1703. Let o = -1 - 4. Let u = -109/8 + 14. Sort r, u, o.
o, r, u
Let v = -262 + 260. Let w = 23 - 33. Put 1/6, v, w in decreasing order.
1/6, v, w
Let c(i) be the first derivative of i**3/3 + 5*i**2 + 12*i - 9. Let o be c(-9). Sort 5, -1, 4, o in ascending order.
-1, o, 4, 5
Let m(y) = 2*y - 8. Let j be m(5). Suppose -2*q + 16 = j*q. Let f = -5 - -4. Sort q, f, 8 in increasing order.
f, q, 8
Let c = -0.2 - 0. Let w(n) = -21*n**2 - 207*n + 26. Let h be w(-10). Put h, 0, c, -2 in decreasing order.
0, c, -2, h
Let d = 10.57 - 11.07. Sort -7, d, -4 in decreasing order.
d, -4, -7
Let d = -10 | {
"pile_set_name": "DM Mathematics"
} |
3, -2, 14, 1, -8 in decreasing order.
14, 3, 1, -2, -8, -10, -122
Sort 0.5, 25, 4, -4, 2.2, 313, -1 in descending order.
313, 25, 4, 2.2, 0.5, -1, -4
Sort 10, -619, 12, 30 in decreasing order.
30, 12, 10, -619
Sort -10, 2, 1, 129138.
-10, 1, 2, 129138
Sort 21, -22, -1089, 3 in increasing order.
-1089, -22, 3, 21
Sort -4, -7, -27, -160, 138 in descending order.
138, -4, -7, -27, -160
Put -3, -4, 8, 5, 293468 in descending order.
293468, 8, 5, -3, -4
Sort -5, -132, -4, 8, -54 in decreasing order.
8, -4, -5, -54, -132
Put -21/2, 0, 2824/11, 3/2, 0.1 in decreasing order.
2824/11, 3/2, 0.1, 0, -21/2
Put 1/6, 916684, 1, 5 in increasing order.
1/6, 1, 5, 916684
Sort 2267, 7, -88 in decreasing order.
2267, 7, -88
Put 22, 2, 31, -79, 17, -1 in descending order.
31, 22, 17, 2, -1, -79
Sort -485698, 10, 3, 5, -5.
-485698, -5, 3, 5, 10
Sort -190, -5, 205, 0, -2, 5 in increasing order.
-190, -5, -2, 0, 5, 205
Sort -28, 5, -9534, 0, 4, -6.
-9534, -28, -6, 0, 4, 5
Sort 4, 9, 47, 11, 2, -17 in increasing order.
-17, 2, 4, 9, 11, 47
Put -3, 9, 2, -1114, 5 in decreasing order.
9, 5, 2, -3, -1114
Put 13, 4, -54, -214, -18 in increasing order.
-214, -54, -18, 4, 13
Sort 22, 4, 27700, 3 in descending order.
27700, 22, 4, 3
Sort 2, 8, 1, -7, 5, -739, 3 in increasing order.
-739, -7, 1, 2, 3, 5, 8
Sort -27759, -2/23, -1 in increasing order.
-27759, -1, -2/23
Put 10, 5, 3, 21, -99504, -2 in decreasing order.
21, 10, 5, 3, -2, -99504
Sort -2555, -99/227, -1/8, -5.
-2555, -5, -99/227, -1/8
Sort 8686, -1/10, -3, 2/13, -0.01 in descending order.
8686, 2/13, -0.01, -1/10, -3
Sort 1, -15984, -10, -1, -4, -8, -3.
-15984, -10, -8, -4, -3, -1, 1
Sort 3, 33, -4/3, 140, -2/5.
-4/3, -2/5, 3, 33, 140
Sort 4, -4, -265, 627, 1.
-265, -4, 1, 4, 627
Put 1, -22, -2, 1192, -1 in decreasing order.
1192, 1, -1, -2, -22
Put 0.1, 0.06473, 14/11, -3.1 in ascending order.
-3.1, 0.06473, 0.1, 14/11
Put 3, -20, -0.7, -2/5271 in increasing order.
-20, -0.7, -2/5271, 3
Sort -91, -2572, -51 in ascending order.
-2572, -91, -51
Sort 2/3, -165, -9, 1/8, 0.1, 3/2 in descending order.
3/2, 2/3, 1/8, 0.1, -9, -165
Put 0.68, -1/3, 4/5, 2729, 3/5 in ascending order.
-1/3, 3/5, 0.68, 4/5, 2729
Put -2, -1, 6, 170, -5, 4, -15 in descending order.
170, 6, 4, -1, -2, -5, -15
Sort 24, -534, -2011, 0 in decreasing order.
24, 0, -534, -2011
Put -5, 5, 6, -3634046, 0 in decreasing order.
6, 5, 0, -5, -3634046
Put -7, 82, 0, 22, 2 in descending order.
82, 22, 2, 0, -7
Put 3, 5, -50, -3, 24, 62, 1 in descending order.
62, 24, 5, 3, 1, -3, -50
Put 1.417, 122.27, 5 in ascending order.
1.417, 5, 122.27
Put -223, 35, -4, 3, 2 in increasing order.
-223, -4, 2, 3, 35
Put -23, -318, -12, -1/2, 0 in descending order.
0, -1/2, -12, -23, -318
Put 0.3, -0.3, -3.2, 11633, -2, 20 in decreasing order.
11633, 20, 0.3, -0.3, -2, -3.2
Put 902, -1206, 0 in decreasing order.
902, 0, -1206
Sort 2865, 2/5, 5/261 in increasing order.
5/261, 2/5, 2865
Put -1, 46, 3, 1, 1555, -32 in ascending order.
-32, -1, 1, 3, 46, 1555
Sort -4, 13, 5, -3, -1514, 15 in increasing order.
-1514, -4, -3, 5, 13, 15
Sort -1216, -2, -225, 37 in ascending order.
-1216, -225, -2, 37
Sort 1, 2, 5, 231, -2, 1480.
-2, 1, 2, 5, 231, 1480
Sort 6.76439, 28, -4, -3 in descending order.
28, 6.76439, -3, -4
Put 1/4, -6898.3, 0.2, -5 in ascending order.
-6898.3, -5, 0.2, 1/4
Sort -1238, -3, 4, -6, 46 in ascending order.
-1238, -6, -3, 4, 46
Sort 3, 5, 20, 24, -2, 19, -10.
-10, -2, 3, 5, 19, 20, 24
Sort 477, 4006, 1, -3 in increasing order.
-3, 1, 477, 4006
Put 3, 2914663, -2 in descending order.
2914663, 3, -2
Sort -5.87056, 20, -3/2 in decreasing order.
20, -3/2, -5.87056
Sort 7, 8, -2, 4, -3, -29, 3 in ascending order.
-29, -3, -2, 3, 4, 7, 8
Sort 164535, -2, 2, -4, 0, -1 in increasing order.
-4, -2, -1, 0, 2, 164535
Sort 5, 4, -2355394 in ascending order.
-2355394, 4, 5
Sort -67, -143, 11 in increasing order.
-143, -67, 11
Sort 22596, -0.119, 2 in descending order.
22596, 2, -0.119
Sort -6, 1362, -2, -82, 5.
-82, -6, -2, 5, 1362
Put 40, 1, 5, 69 in descending order.
69, 40, 5, 1
Put 340, 0.0236, 0.2, 0.02 in decreasing order.
340, 0.2, 0.0236, 0.02
Put -26, -3, 0, -2, 3, 19369 in increasing order.
-26, -3, -2, 0, 3, 19369
Sort 4/9, 2/7, 3/7, -1, 0.8, 31 in increasing order.
-1, 2/7, 3/7, 4/9, 0.8, 31
Sort 1, -9, -326, 7, 4, -5, 0 in ascending order.
-326, -9, -5, 0, 1, 4, 7
Put -7, -5, 0, 187814, -2 in increasing order.
-7, -5, -2, 0, 187814
Sort -15/4, 35, 2, 0.5, 872 in descending order.
872, 35, 2, 0.5, -15/4
Sort 0, -10, -69, -75, 1, -3 in decreasing order.
1, 0, -3, -10, -69, -75
Sort 2, 9, -2, 40, -21, -6, -3 in descending order.
40, 9, 2, -2, -3, -6, -21
Sort -4, -5, -2086, -3, -911.
-2086, -911, -5, -4, -3
Sort 128, 41, 0, 4, -97 in descending order.
128, 41, 4, 0, -97
Put 3, 387, -1, 72, -107 in decreasing order.
387, 72, 3, -1, -107
Put 1, 1/4, 6, 128627 in descending order.
128627, 6, 1, 1/4
Sort 2/11, 9418, -4075 in decreasing order.
9418, 2/11, -4075
Sort 2, -11, 13, 33794, 1.
-11, 1, 2, 13, 33794
Sort -0.1, -35, 206/67, -1, -2 in descending order.
206/67, -0.1, -1, -2, -35
Sort 0.4, 3, 0.01358, -625 in decreasing order.
3, 0.4, 0.01358, -625
Sort -5, 55, -26, -1769, 2 in increasing order.
-1769, -26, -5, 2, 55
Put -2/11, -0.4, 62, 17.9, 1 in decreasing order.
62, 17.9, 1, -2/11, -0.4
Sort -2, 475, -1981 in ascending order.
-1981, -2, 475
Sort 4, -2, 9, -5, -1501, 3, 0 in ascending order.
-1501, -5, -2, 0, 3, 4, 9
Put 24, 13, 19, 7, 0, 5, -5 in increasing order.
-5, 0, 5, 7, 13, 19, 24
Put -2/19, -1/5, -124, -4, 18393/2 in descending order.
18393/2, -2/19, -1/5, -4, -124
Put 2, 235, -293, 5, 4 in decreasing order.
235, 5, 4, 2, -293
Sort -88, -3, 3, -7, -427.
-427, -88, -7, -3, 3
Sort -54, -14, -5, -32, 2 in ascending order.
-54, -32, -14, -5, 2
Sort 5, -7, 19, 293, -9.
-9, -7, 5, 19, 293
Put -11, -2, 430293, 1 in increasing order.
-11, -2, 1, 430293
Put 0.02, 8, -1/2, -8949 in decreasing order.
8, 0.02, -1/2, -8949
Put -1, 37, -2, -8, -1133, 0 in decreasing order.
37, 0, -1, -2, -8, -1133
Sort -7/5, 3.411, 192, 0.2 in decreasing order.
192, 3.411, 0.2, -7/5
Put 187/6, -263043, -0.4 in descending order.
187/6, -0.4, -263043
Put -13, 1, -8, -1, 8, 10, -5 in decreasing order.
10, 8, 1, -1, -5, -8, -13
Sort -192103, -4, 3, 3/2, 4 in decreasing order.
4, 3, 3/2, -4, -192103
Sort -1417, 11/2, 2/3, 5.92.
-1417, 2/3, 11/2, 5.92
Sort 31, 2, -4, -32, -3, -5 in increasing order.
-32, -5, -4, -3, 2, 31
Sort -4, -96, -315499.
-315499, -96, -4
Sort -2, -2/7, -25, -1/3, 19613.
-25, -2, -1/3, -2/7, 19613
Put 10, 7, -4, 0, -3, -656 in ascending order.
-656, -4, -3, 0, 7, 10
Sort 1, 0, 4, -1811, -68 in decreasing order.
4, 1, 0, -68, -1811
Sort 1782, 56, 20 in descending order.
1782, 56, 20
Sort 3, -173598, 14, -2 in descending order.
14, 3, -2, -173598
Put -39, 165, -146 in increasing order.
-146, -39, 165
Sort 41801, 65, 3 in descending order.
41801, 65, 3
Sort -4, -1177552, -15 in descending order.
-4, -15, -1177552
Sort 44, 3, -36711, 4.
-36711, 3, 4, 44
Sort -2/3, 0, 1423, -0.4, 1/40, 707 in decreasing order.
1423, 707, 1/40, 0, -0.4, -2/3
Put -0.294, -1, -4, -0.2, 1, -3 in ascending order.
-4, -3, -1, -0.294, -0.2, 1
Sort -5, -37, 565, 2, 5/6, -4.
-37, -5, -4, 5/6, 2, 565
Sort -34, -1/8, 0.42, 1, -15.
-34, -15, -1/8, 0.42, 1
Sort -5, 6, -61, -6, 2, 262 in descending order.
262, 6, 2, -5, -6, -61
Sort 2, -1698, 0, 1, 8, 4 in ascending order.
-1698, 0, 1, 2, 4, 8
Put -1478, 5, -30, -46 in descending order.
5, -30, -46, -1478
Put -1234, -5, -1, 5, -12, 2, 10 in decreasing order.
10, 5, 2, -1, -5, -12, -1234
Sort -6, -161, -143111 in ascending order.
-143111, -161, -6
Put -327827, 0, 4, 27 in decreasing order.
27, 4, 0, -327827
Sort -4, 5, -5, 12, 117, 24, 8.
-5, -4, 5, 8, 12, 24, 117
Put 1, 8/5, -11, 4, -2/147, 2, 1/4 in increasing order.
-11, -2/147, 1/4, 1, 8/5, 2, 4
Sort 4, 7, 1.2, -853/6, -5, 1 in descending order.
7, 4, 1.2, 1, -5, -853/6
Sort 0.2, -4, 19, 33593, 0.
-4, 0, 0.2, 19, 33593
Put 4, 1/114, 16, -1/8, 1/12, 3/4 in decreasing order.
16, 4, 3/4, 1/12, 1/114, -1/8
Put -5, -27, -7, -299, -6 in descending order.
-5, -6, -7, -27, -299
Put 16, 29, -0.3, 1/6, -0.1, 17/13 in descending order.
29, 16, 17/13, 1/6, -0.1, -0.3
Sort -3, 10, -951, 2, 5, 0, -6.
-9 | {
"pile_set_name": "DM Mathematics"
} |
5. Calculate -7*i(v) - 4*u(v).
16*v + 1
Let x(i) = -7*i**3 - 6*i**2 - 27*i - 6. Let g(y) = -6*y**3 - 5*y**2 - 26*y - 5. Give -6*g(b) + 5*x(b).
b**3 + 21*b
Let f(z) = z**2 + 2*z - 1. Let p(r) = 2*r**3 - 3*r**2 - 6*r - 114. What is 3*f(g) + p(g)?
2*g**3 - 117
Let i(q) be the first derivative of -3*q**2/2 + q + 4. Let z = -103 - -96. Let k(c) = 6*c - 2. Give z*i(u) - 4*k(u).
-3*u + 1
Let n(h) = 5*h**2 + 6*h - 6. Let v be (-2)/3*(-5 + (1 - -1)). Let i(u) = u - 10*u - v*u + 21*u**2 - 30*u**2 + 11. Calculate 6*i(l) + 11*n(l).
l**2
Let n(j) = 6*j**2. Suppose -2*r + 5*i - 137 = -3*r, 0 = -2*r - i + 310. Let d(t) = -r*t + 157*t + t**2. Calculate -14*d(b) + 2*n(b).
-2*b**2
Suppose -56*r + 47*r - 18 = 0. Let f(k) = -8*k + 1. Let o(w) = -16*w + 2. What is r*o(m) + 5*f(m)?
-8*m + 1
Let p(t) = 5*t + 3. Let q(m) = -2*m - 2. Suppose 0 = 11*j + 37 - 81. Give j*p(b) + 9*q(b).
2*b - 6
Let f(o) = -9*o + 3. Let m(s) = 1. Suppose 11*k = -341 + 385. What is k*m(j) - f(j)?
9*j + 1
Suppose 3*d - 180 = -3*z, -3*d = -z + d + 80. Let l = -63 + z. Let k(w) = w**3 + w**2 + 1. Let g(m) = -4*m**2 - m**3 + m**2 + 4*m**2. Determine l*g(t) - k(t).
-2*t**3 - 1
Let t be ((40/(-15))/1)/((-18)/27). Let r(n) = -6*n - 3. Let x(z) = -17*z - 8. Determine t*x(f) - 11*r(f).
-2*f + 1
Let c(s) = -22*s**2 - s - 2. Let z(r) = 2*r**2. Determine c(g) + 2*z(g).
-18*g**2 - g - 2
Let m(i) = -i. Let b(l) = -8 + 6*l - 3 + 15 + 0. Give b(r) + 4*m(r).
2*r + 4
Let n(k) = -k - 2. Let z = 17 - 24. Let b(v) = 4*v - 2. Let u(r) = 3*r - 2. Let q(a) = 4*b(a) - 5*u(a). Determine z*n(p) - 6*q(p).
p + 2
Suppose 2*w + 128*m - 10 = 127*m, -2 = -m. Let v(i) = i + 2. Let n(f) = 4 + 0*f + 3*f + 2. Determine w*n(l) - 11*v(l).
l + 2
Let d(h) = h**2 - h + 1. Let m(v) = 1288*v**2 - 5*v + 5. Calculate -5*d(y) + m(y).
1283*y**2
Let i(g) = -8*g + 6. Suppose 2*k - k = 5. Let j(s) = -s + 1. Determine k*j(a) - i(a).
3*a - 1
Let f(y) = -20*y**2 + 16*y + 4. Let c(d) = 9*d**2 - 7*d - 2. Let i(z) = -13*c(z) - 6*f(z). Let s(w) = -w**2 + 2*w - 1. What is 2*i(n) + 5*s(n)?
n**2 - 1
Let v(h) = -20*h + 29. Let d(w) = -57*w + 86. Determine -6*d(x) + 17*v(x).
2*x - 23
Let f(d) be the third derivative of -5*d**3/6 + d**2. Let z(k) = 93687*k - 187374*k + 93686*k - 1. What is f(t) - 3*z(t)?
3*t - 2
Let t(i) = -4*i**2 - 3*i + 3. Suppose -384 = 2*p - 482. Let a(b) = -63*b**2 - 49*b + 49. Calculate p*t(q) - 3*a(q).
-7*q**2
Let p(k) = 4 + 4 + 6 - 9. Let w(h) = -2*h - 20. Calculate -20*p(n) - 5*w(n).
10*n
Let i(l) = 7*l**2 + l - 9. Suppose 4*k - 2*c + 12 = 0, -k - 5*c + 6*c - 1 = 0. Let x(m) = -4*m**2 - m + 5. Determine k*x(w) - 3*i(w).
-w**2 + 2*w + 2
Let w(h) = -8*h**3 - 5*h**2 - 11. Let j(q) = -1. Let m(v) = 6*j(v) - w(v). Let p(x) = x**3 - 6 + 0 + 3*x**3 - 13*x**3 - 6*x**2. Give 6*m(d) + 5*p(d).
3*d**3
Let c(l) = -4*l**3 + 2*l - 1. Let u(p) = 5*p**3 + p**2 - 3*p + 1. Let y = 86 - 91. Let z be (-5)/y - (-5)/(20/(-16)). Give z*c(k) - 2*u(k).
2*k**3 - 2*k**2 + 1
Let v(d) = -1. Let k(n) = n + 3. Let u(g) = k(g) + 3*v(g). Let p(r) = -6*r. Let w(h) = 14*h + 169. Let l be w(-12). Determine l*p(b) + 4*u(b).
-2*b
Let d(x) = 44*x**2 + 3. Let l(u) = -176*u**2 + u - 13. Give 9*d(k) + 2*l(k).
44*k**2 + 2*k + 1
Let u(c) = 133*c - 2. Let h(o) = -127*o + 2. Determine 4*h(r) + 3*u(r).
-109*r + 2
Let i(q) = -1. Let l(v) = -38*v - 4. Determine -5*i(s) + l(s).
-38*s + 1
Suppose -11*o = -36*o - 800. Let u(q) = 240*q**3 - 32*q**2 + 32*q - 32. Let h(g) = -37*g**3 + 5*g**2 - 5*g + 5. What is o*h(t) - 5*u(t)?
-16*t**3
Let f(m) = -26*m**3 + 15*m + 13. Let h(x) = 13*x**3 - 7*x - 6. Determine 4*f(c) + 9*h(c).
13*c**3 - 3*c - 2
Let k(p) = 28*p**2 + 2*p + 18. Let t(n) = n + 2. Calculate -k(u) + 3*t(u).
-28*u**2 + u - 12
Let n(u) = u**2 + u + 1. Let i(r) = 15*r - 10*r - 3*r - 7*r + 6 + 4*r**2 + r**2. Give i(z) - 4*n(z).
z**2 - 9*z + 2
Let p(a) = -13*a**2 - 4*a - 24. Let w(l) = 28*l**2 + 12*l + 49. Calculate -13*p(q) - 6*w(q).
q**2 - 20*q + 18
Let g(v) = -1 + 399*v - 391*v + 4. Let o(y) = 23*y + 8. What is -17*g(m) + 6*o(m)?
2*m - 3
Let n(l) = -13*l + 206. Let u(t) = -42*t + 618. What is -16*n(h) + 5*u(h)?
-2*h - 206
Suppose -5*o + 11 = 1, -1 = u - o. Let l(m) = m. Let f(r) = 17. Calculate u*f(i) - 2*l(i).
-2*i + 17
Let j(l) = l**3 + l**2 + 4*l + 1. Let t(m) = -m**3 + m**2 + 4*m - 80. Determine j(q) - t(q).
2*q**3 + 81
Let y(q) = 3*q**2 + 3*q + 54. Let k(r) = r**2 - r - 1. Give k(g) + y(g).
4*g**2 + 2*g + 53
Let o(t) = 9*t + 6. Let l(s) = 31 - 95 + 33 + 32. Give 6*l(z) - o(z).
-9*z
Let o(m) = -5*m**3 - 7*m**2 + 122*m + 6. Let x(u) = -u**3 - u**2 + 1. What is o(j) - 6*x(j)?
j**3 - j**2 + 122*j
Let t(v) = 7*v + 4*v - 7 - 7*v + 3. Let n be (-1)/((-22)/10 + 2). Let b(c) = 7*c - 7. Let j = 2 + -5. Calculate j*b(p) + n*t(p).
-p + 1
Let m(w) = 3*w**2 - w - 4. Let c(l) = -5. Let k(j) = -21. Let i(h) = -4*c(h) + k(h). Determine 4*i(t) - m(t).
-3*t**2 + t
Let t(s) = 14*s**2 - 2*s - 2. Let c(m) = -42*m**2 + 7*m + 7. Let l(a) = a**3 + 30*a**2 + 25*a - 114. Let v be l(-29). Determine v*c(x) + 7*t(x).
14*x**2
Let g be (-28)/3*63/(-147). Let q(r) = -5*r - 5. Let y(j) = -j. Give g*y(o) - q(o).
o + 5
Let l(j) = -18*j**2 - 12*j + 10. Let y(h) = -19*h**2 - 13*h + 12. Give 6*l(d) - 5*y(d).
-13*d**2 - 7*d
Let w(h) = -2*h**3 + 3*h**2 - 9*h + 4. Let n(f) = 3*f**3 - 4*f**2 + 9*f - 2. Determine -3*n(b) - 4*w(b).
-b**3 + 9*b - 10
Let z(u) = 1. Let h(y) = 3*y - 22. Let s(l) = -2*l + 10. Let i(d) = -4*h(d) - 9*s(d). Determine -i(q) - 3*z(q).
-6*q - 1
Let x(w) = -w**3 + w**2 + w. Let m(f) = -7*f**3 - 4 + 3*f - 4 + 2*f**2 + 8. Let s be (1 + 15/(-6))/(6/16). Give s*x(u) + m(u).
-3*u**3 - 2*u**2 - u
Let o(f) = 4*f**2 - f + 1. Let k(q) = 27*q**2 - 16*q + 8. Calculate k(t) - 5*o(t).
7*t**2 - 11*t + 3
Let j = 20 + -17. Let f(l) = 2 - 3*l - l - 6 - j*l**2 - l. Let u(s) = 9*s**2 + 14*s + 11. Let z = 0 - -11. Determine z*f(n) + 4*u(n).
3*n**2 + n
Let y(g) = -g - 23. Let f(i) = -2*i - 47. Give 3*f(l) - 5*y(l).
-l - 26
Let j(b) = 9*b - 15. Let n(z) = 14*z - 22. Suppose 49 + 6 = 11*p. Give p*n(s) - 8*j(s).
-2*s + 10
Let f(l) = l + 3. Let c(p) = -2*p - 5 + p - 2 + 1 + 5. Suppose 4*u = q - 7, -4*q - 33 - 2 = 5*u. Calculate u*c(y) - f(y).
2*y
Let b(o) = 2*o + 13. Let u(w) = w + 9. Let m(c) = -2*b(c) + 3*u(c). Let d(a) = 2*a**3 + 10*a - 3. Calculate d(r) + 4*m(r).
2*r**3 + 6*r + 1
Let d(a) = 12*a**2 - 4*a + 4. Suppose -36*x = -67*x + 155. Let i(c) = 12*c**2 - 5*c + 5. Calculate x*d(o) - 4*i(o).
12*o**2
Let i(r) = -r**3 + 1. Let u(g) = -3*g**3 - g + 2. Let c be (-92)/276 - (-7)/3. Let y = -5 + 7. Suppose v = 1 - y. Give c*i(x) + v*u(x).
x**3 + x
Let r(f) = 24*f**3 - 2*f + 3. Let z(g) = -23*g**3 + 2*g - 4. What is -4*r(y) - 3*z(y)?
-27*y**3 + 2*y
Let u(j) be the first derivative of -j**2/2 + j + 150. Let k = 14 + -8. Let a(h) = -8*h + 6. What is k*u(p) - a(p)?
2*p
Let h(x) be the third derivative of -x**4/24 - 14*x**2. Suppose 11*q - 4 = 7. Let p(a) = -6*a + a + a - 1. Calculate q*p(g) - 5*h(g).
g - 1
Let i(r) = 2*r**3 + 2*r**2 - 2*r - 130. Let s(a) = a**2 - a - 1. Determine i(l) - 2*s(l).
2*l**3 - 128
Let z(a) = -462*a - 7. Let d(x) = -460*x - 6. Determine -5*d(f) + 4*z(f).
452*f + 2
Let p(x) = x + 1. Let v(m) = 4*m - 7. Let f(h) = 9 - 1 - 2*h - 3*h. Suppose 10 = -t + 4. Let i(n) = t*f(n) - 7*v(n). Give 3*i(y) - 3*p(y).
3*y
Let u(m) = -m**2 + m + 2. Let w(y) = y**2 - y - 6. Suppose -7 = 5*k - 2. Let s(v) = -1. Let t(p) = k*w(p) + 6*s(p). Calculate -3*t(i) + u(i).
2*i**2 - 2*i + 2
Let f(o) = -o + 1. Let g(x) = -2 - 3 - 204*x**2 + 2*x**3 + 4*x + 204*x**2. Determine -4*f(y) - g(y).
-2*y**3 + 1
Let y(x) = x. Let r(b) = -b**2 + 5*b + 2. Let d = -68 - -113. Let f = 44 - d. Calculate f*r(c) + 4*y(c).
c**2 - c - 2
Let i(j) = -8 - j**3 + 10 + 6*j**2 - 4*j**2. Suppose 0*b = -b. Let t(a) = -3*a**2 - 2 + b*a**3 + 2*a**3 - 1. What is 3*i(f) + 2*t(f)?
f**3
Let j(x) = -4*x**3 + 2*x**2 + 3*x - 57. Let d(v) = 6*v**3 - 3*v**2 - 5*v + 114. Give 3*d(p) + 5*j(p).
-2*p**3 + p**2 + 57
Let t(a) = 16*a - 37. Let n(w) = -24*w + 52. Let u(z) = 5*n(z) + 7*t(z). Let l(x) = 7*x - 1. Determine -6*l(v) - 5*u(v).
-2*v + 1
Let b(r) = r - 8. Let k be b(6). Let o(w) be the third derivative of -w**4/12 - w**3/6 + 2*w**2. Let t(p) = -p**2 + 5*p + 2. What is k*t(u) - 5*o(u)?
2*u**2 + 1
Let i(f) be the second derivative of f**4/2 - f**3/3 + 2*f**2 - | {
"pile_set_name": "DM Mathematics"
} |
remainder when 249 is divided by 14?
11
What is the remainder when 1240 is divided by 205?
10
Calculate the remainder when 1154 is divided by 53.
41
What is the remainder when 121 is divided by 41?
39
What is the remainder when 599 is divided by 32?
23
What is the remainder when 248 is divided by 78?
14
Calculate the remainder when 3823 is divided by 15.
13
Calculate the remainder when 16 is divided by 3.
1
What is the remainder when 94 is divided by 50?
44
What is the remainder when 4239 is divided by 80?
79
Calculate the remainder when 18829 is divided by 88.
85
Calculate the remainder when 7204 is divided by 55.
54
Calculate the remainder when 433 is divided by 110.
103
Calculate the remainder when 1467 is divided by 11.
4
Calculate the remainder when 4712 is divided by 262.
258
Calculate the remainder when 95 is divided by 55.
40
What is the remainder when 671 is divided by 7?
6
What is the remainder when 43 is divided by 17?
9
Calculate the remainder when 393 is divided by 388.
5
Calculate the remainder when 75 is divided by 25.
0
Calculate the remainder when 146 is divided by 31.
22
Calculate the remainder when 5117 is divided by 5.
2
Calculate the remainder when 313 is divided by 106.
101
What is the remainder when 5614 is divided by 144?
142
What is the remainder when 444 is divided by 15?
9
What is the remainder when 174 is divided by 87?
0
Calculate the remainder when 442 is divided by 6.
4
Calculate the remainder when 17 is divided by 17.
0
Calculate the remainder when 1750 is divided by 73.
71
What is the remainder when 22361 is divided by 209?
207
Calculate the remainder when 7651 is divided by 24.
19
What is the remainder when 46 is divided by 15?
1
Calculate the remainder when 695 is divided by 12.
11
What is the remainder when 2869 is divided by 2850?
19
Calculate the remainder when 19 is divided by 16.
3
What is the remainder when 58 is divided by 38?
20
Calculate the remainder when 15 is divided by 10.
5
Calculate the remainder when 606 is divided by 61.
57
What is the remainder when 8251 is divided by 24?
19
What is the remainder when 89 is divided by 23?
20
What is the remainder when 54 is divided by 28?
26
Calculate the remainder when 5756 is divided by 320.
316
Calculate the remainder when 273 is divided by 25.
23
Calculate the remainder when 13502 is divided by 64.
62
Calculate the remainder when 216 is divided by 70.
6
Calculate the remainder when 71 is divided by 13.
6
What is the remainder when 85 is divided by 48?
37
Calculate the remainder when 463 is divided by 96.
79
What is the remainder when 1037 is divided by 20?
17
What is the remainder when 25 is divided by 7?
4
Calculate the remainder when 738 is divided by 13.
10
What is the remainder when 404 is divided by 105?
89
Calculate the remainder when 101 is divided by 5.
1
Calculate the remainder when 397 is divided by 40.
37
What is the remainder when 2698 is divided by 25?
23
What is the remainder when 2879 is divided by 43?
41
Calculate the remainder when 654 is divided by 11.
5
What is the remainder when 216 is divided by 2?
0
What is the remainder when 2249 is divided by 23?
18
What is the remainder when 792 is divided by 109?
29
Calculate the remainder when 187 is divided by 19.
16
Calculate the remainder when 83 is divided by 7.
6
What is the remainder when 860 is divided by 110?
90
What is the remainder when 26022 is divided by 25?
22
What is the remainder when 578 is divided by 191?
5
What is the remainder when 1153 is divided by 76?
13
Calculate the remainder when 68 is divided by 57.
11
Calculate the remainder when 1154 is divided by 22.
10
What is the remainder when 720 is divided by 92?
76
What is the remainder when 3664 is divided by 49?
38
Calculate the remainder when 2576 is divided by 76.
68
What is the remainder when 2766 is divided by 213?
210
What is the remainder when 1303 is divided by 30?
13
Calculate the remainder when 3876 is divided by 393.
339
What is the remainder when 113 is divided by 64?
49
What is the remainder when 3535 is divided by 1176?
7
Calculate the remainder when 1387 is divided by 60.
7
What is the remainder when 4357 is divided by 15?
7
What is the remainder when 77 is divided by 16?
13
Calculate the remainder when 2291 is divided by 12.
11
Calculate the remainder when 1428 is divided by 27.
24
Calculate the remainder when 3037 is divided by 38.
35
Calculate the remainder when 287 is divided by 18.
17
What is the remainder when 999 is divided by 330?
9
Calculate the remainder when 171 is divided by 47.
30
What is the remainder when 115 is divided by 20?
15
What is the remainder when 31 is divided by 5?
1
What is the remainder when 361 is divided by 123?
115
Calculate the remainder when 332 is divided by 87.
71
What is the remainder when 2075 is divided by 20?
15
Calculate the remainder when 74 is divided by 25.
24
Calculate the remainder when 42 is divided by 14.
0
Calculate the remainder when 84 is divided by 56.
28
What is the remainder when 1362 is divided by 171?
165
Calculate the remainder when 2738 is divided by 33.
32
What is the remainder when 560 is divided by 188?
184
Calculate the remainder when 575 is divided by 12.
11
Calculate the remainder when 248 is divided by 10.
8
What is the remainder when 458 is divided by 29?
23
Calculate the remainder when 2136 is divided by 10.
6
What is the remainder when 874 is divided by 13?
3
Calculate the remainder when 66 is divided by 20.
6
Calculate the remainder when 147 is divided by 19.
14
What is the remainder when 916 is divided by 54?
52
Calculate the remainder when 42 is divided by 24.
18
Calculate the remainder when 57 is divided by 31.
26
Calculate the remainder when 609 is divided by 298.
13
What is the remainder when 453 is divided by 146?
15
Calculate the remainder when 120 is divided by 112.
8
What is the remainder when 739 is divided by 26?
11
Calculate the remainder when 185 is divided by 59.
8
Calculate the remainder when 495 is divided by 96.
15
Calculate the remainder when 108 is divided by 43.
22
What is the remainder when 440 is divided by 57?
41
What is the remainder when 1992 is divided by 7?
4
Calculate the remainder when 125 is divided by 68.
57
What is the remainder when 192 is divided by 17?
5
What is the remainder when 1608 is divided by 274?
238
Calculate the remainder when 1702 is divided by 155.
152
Calculate the remainder when 278 is divided by 28.
26
Calculate the remainder when 100 is divided by 17.
15
Calculate the remainder when 1556 is divided by 16.
4
What is the remainder when 1486 is divided by 93?
91
What is the remainder when 475 is divided by 30?
25
What is the remainder when 42 is divided by 13?
3
Calculate the remainder when 167 is divided by 30.
17
What is the remainder when 139 is divided by 33?
7
Calculate the remainder when 1024 is divided by 114.
112
What is the remainder when 439 is divided by 21?
19
Calculate the remainder when 104 is divided by 27.
23
What is the remainder when 448 is divided by 116?
100
Calculate the remainder when 3183 is divided by 6.
3
Calculate the remainder when 792 is divided by 54.
36
Calculate the remainder when 166 is divided by 62.
42
Calculate the remainder when 241 is divided by 199.
42
Calculate the remainder when 42 is divided by 10.
2
Calculate the remainder when 1162 is divided by 12.
10
Calculate the remainder when 20122 is divided by 13.
11
Calculate the remainder when 41 is divided by 22.
19
Calculate the remainder when 8053 is divided by 19.
16
What is the remainder when 4318 is divided by 45?
43
What is the remainder when 164 is divided by 65?
34
Calculate the remainder when 992 is divided by 314.
50
What is the remainder when 98 is divided by 25?
23
Calculate the remainder when 1897 is divided by 312.
25
Calculate the remainder when 245 is divided by 17.
7
Calculate the remainder when 90 is divided by 39.
12
Calculate the remainder when 320 is divided by 52.
8
What is the remainder when 1701 is divided by 11?
7
Calculate the remainder when 259 is divided by 20.
19
Calculate the remainder when 153 is divided by 67.
19
What is the remainder when 5211 is divided by 66?
63
Calculate the remainder when 161 is divided by 57.
47
What is the remainder when 234 is divided by 20?
14
Calcul | {
"pile_set_name": "DM Mathematics"
} |
) + 3.
3 + 2*sqrt(17)
Simplify (sqrt(7) + -6*sqrt(448) - (sqrt(28) + sqrt(28)*5))**2.
24367
Simplify ((sqrt(2) + 1 + sqrt(2))*1 + 2 + sqrt(32) + 1 + sqrt(96)/sqrt(3))**2.
80*sqrt(2) + 216
Simplify (sqrt(1872) + -2 + sqrt(1872) - sqrt(1872))*2 + sqrt(1872) + (5*sqrt(1872)*-3 - sqrt(1872)) + sqrt(1872).
-144*sqrt(13) - 4
Simplify sqrt(288) + (sqrt(288) - ((sqrt(288) - (4*sqrt(288) + sqrt(288))) + 2)**2) + sqrt(288) + 3.
-4609 + 228*sqrt(2)
Simplify 6*(sqrt(3)*-2 + -4).
-24 - 12*sqrt(3)
Simplify (sqrt(119) - (sqrt(119) + (sqrt(119) - (sqrt(119) + -1*sqrt(119)))))/sqrt(7)*5 + -2.
-5*sqrt(17) - 2
Simplify (1 + sqrt(612))**2 + sqrt(17) + 2.
13*sqrt(17) + 615
Simplify 3*sqrt(19)*3 - (sqrt(304) + -3).
3 + 5*sqrt(19)
Simplify (sqrt(65)*1)/sqrt(5) - sqrt(13) - (-1 + sqrt(1872) - sqrt(1872)).
1
Simplify sqrt(10)/(-2*sqrt(18)).
-sqrt(5)/6
Simplify (6*sqrt(5)*1 + 4 + sqrt(5) + sqrt(25)/sqrt(5))**2.
64*sqrt(5) + 336
Simplify sqrt(10)/(-2*sqrt(5)*-6).
sqrt(2)/12
Simplify ((sqrt(156)*-2 + sqrt(156))*3)/((sqrt(120)*-1 - sqrt(120))/sqrt(10)).
3*sqrt(13)/2
Simplify (sqrt(1008) + -1 + sqrt(1008) + sqrt(1008) + -3)**2 + (sqrt(847) - (-1*sqrt(847))**2) + 2.
-277*sqrt(7) + 8243
Simplify (sqrt(18)/sqrt(27))/sqrt(3).
sqrt(2)/3
Simplify sqrt(931)*2 + -3.
-3 + 14*sqrt(19)
Simplify (sqrt(60)/(sqrt(12)*-1))**2 + 4.
9
Simplify (4*-4*1*sqrt(99))**2.
25344
Simplify (4*sqrt(76) - sqrt(76))/sqrt(4)*-6.
-18*sqrt(19)
Simplify ((-2*sqrt(52) + sqrt(52) + -4)*-2)**2.
64*sqrt(13) + 272
Simplify sqrt(35)/(-1*sqrt(80)) - ((sqrt(42)/(sqrt(18)/sqrt(3) + sqrt(6)) - sqrt(7)) + -2).
sqrt(7)/4 + 2
Simplify (-6*(sqrt(405) + -1)*-4)**2.
-10368*sqrt(5) + 233856
Simplify sqrt(70)/(5*sqrt(10)*1).
sqrt(7)/5
Simplify (sqrt(63) - (sqrt(63) - (sqrt(63) + (sqrt(63) - -1*sqrt(4032)))))/(-5*sqrt(9)*2).
-sqrt(7)
Simplify (sqrt(264)/sqrt(12))/sqrt(11) + sqrt(1210)/sqrt(5).
12*sqrt(2)
Simplify -3*(0 + sqrt(2)) + sqrt(16)/sqrt(8) + 3.
-2*sqrt(2) + 3
Simplify (sqrt(162)*1 - 3*sqrt(6)/sqrt(3))**2.
72
Simplify ((2*sqrt(21) + sqrt(21))*2)/(sqrt(77)/(sqrt(11)*1)).
6*sqrt(3)
Simplify ((-1 + sqrt(1100)*-4)*-4)**2.
1280*sqrt(11) + 281616
Simplify (2*2*sqrt(110))/(sqrt(10) - (sqrt(10) + (sqrt(10) + sqrt(40)/sqrt(4))*1) - sqrt(10)).
-4*sqrt(11)/3
Simplify 5 + (sqrt(2448)*-2)**2 + 2.
9799
Simplify sqrt(75) + 2 + -1*sqrt(15)/sqrt(5).
2 + 4*sqrt(3)
Simplify sqrt(70)/(sqrt(10) - (sqrt(160) + sqrt(10)))*1 - (1 + sqrt(378)/sqrt(6)).
-13*sqrt(7)/4 - 1
Simplify sqrt(38)/(-2*sqrt(2)) + (sqrt(19) - ((sqrt(57)/sqrt(3))**2 + -1)).
-18 + sqrt(19)/2
Simplify 1*(4 + sqrt(320)) + sqrt(320).
4 + 16*sqrt(5)
Simplify 3*(2*sqrt(11) - sqrt(11)) - (-1 + sqrt(99)/sqrt(9)).
1 + 2*sqrt(11)
Simplify ((sqrt(171)*4*-3)/sqrt(9))**2.
2736
Simplify (sqrt(11) - (sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*2)) - sqrt(88))/sqrt(8))**2 + -4.
7
Simplify (((sqrt(1080) - sqrt(30) - sqrt(30))/sqrt(3))/(sqrt(8)*3 + sqrt(8) - sqrt(2)))**2.
80/49
Simplify ((sqrt(756) - (sqrt(756) + sqrt(756)*-1 - sqrt(756)))/((sqrt(300) - (sqrt(300)*-2 + sqrt(300) + sqrt(300))) + sqrt(300)))**2.
63/25
Simplify (-2*sqrt(243) - sqrt(27)*1)*2.
-42*sqrt(3)
Simplify 5 + sqrt(11) + -5 + (sqrt(11) + sqrt(11)*-1)**2 + sqrt(11).
2*sqrt(11)
Simplify (-6*(1*sqrt(13) + 3))**2.
216*sqrt(13) + 792
Simplify -5*(sqrt(1377) + (-3*sqrt(1377) - sqrt(1377)))**2.
-61965
Simplify -2 + 4*((sqrt(500) + -1*-1*sqrt(500))**2 + sqrt(500)).
40*sqrt(5) + 7998
Simplify sqrt(51)/(-1*sqrt(3)) - (1 + (sqrt(17) + -3)**2).
-27 + 5*sqrt(17)
Simplify 1 + 3*(1 + sqrt(637) + sqrt(637))*-3.
-126*sqrt(13) - 8
Simplify (((sqrt(102)*3 + sqrt(102) - sqrt(102)) + sqrt(102))*6)/(sqrt(6) + sqrt(600)*-3).
-24*sqrt(17)/29
Simplify (sqrt(343)*-2 + -1)*4.
-56*sqrt(7) - 4
Simplify (((sqrt(153) - 1*sqrt(153))/sqrt(9) - -2*sqrt(833))*4)**2.
53312
Simplify (sqrt(45)/sqrt(3)*-1)/(-2*sqrt(10)/sqrt(2)).
sqrt(3)/2
Simplify -2 + sqrt(110)/(sqrt(10)*-3).
-2 - sqrt(11)/3
Simplify 0 + sqrt(175) + -2 + -5.
-7 + 5*sqrt(7)
Simplify ((sqrt(396) + -1*sqrt(396))*-3*5)**2.
0
Simplify 3 + -2*sqrt(243).
-18*sqrt(3) + 3
Simplify (sqrt(272) - (sqrt(272) + 3))**2*-6*4.
-216
Simplify (sqrt(405) + 5*(-1 + sqrt(405)))**2 - (sqrt(5) - 2*sqrt(80))**2*6.
-540*sqrt(5) + 13135
Simplify ((sqrt(539) + 0)*-1)**2 + 0.
539
Simplify ((sqrt(136)/(-1*sqrt(8)) - sqrt(17)) + 2)**2 + -3*((-1*sqrt(102) - sqrt(102))/sqrt(6) - sqrt(17) - sqrt(17)).
4*sqrt(17) + 72
Simplify 5*(-5 + sqrt(18)/(-1*(sqrt(6) - (sqrt(30)/sqrt(5) + sqrt(6))))).
-25 + 5*sqrt(3)
Simplify ((-2 + sqrt(1700))*5)**2 + -1.
-1000*sqrt(17) + 42599
Simplify -1*((-3 + 1*sqrt(11) + 2)*4)**2.
-192 + 32*sqrt(11)
Simplify (2 + 2 + sqrt(128) + sqrt(128))**2.
128*sqrt(2) + 528
Simplify ((sqrt(12)*-2)/sqrt(3))/(-2*sqrt(72)).
sqrt(2)/6
Simplify sqrt(35)/(sqrt(448)*-2 - sqrt(448)).
-sqrt(5)/24
Simplify (-5 + sqrt(14)/(sqrt(8)/sqrt(4)))*-3.
-3*sqrt(7) + 15
Simplify (1 + -2*sqrt(2))**2 + sqrt(16)/sqrt(32) - (sqrt(1800)*-2 - sqrt(50)).
9 + 123*sqrt(2)/2
Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*2*1)) + sqrt(320))**2.
0
Simplify -3*((sqrt(2736)*2)**2 + -4).
-32820
Simplify sqrt(1872) + -2 + sqrt(1872) - (sqrt(208)*5)**2.
-5202 + 24*sqrt(13)
Simplify 4 + (sqrt(343) + (sqrt(343) + -2 - sqrt(343)) + sqrt(343))*2.
28*sqrt(7)
Simplify (sqrt(112))**2*3 + sqrt(112)*6.
24*sqrt(7) + 336
Simplify (-5*-1*sqrt(75))**2*2.
3750
Simplify (-2*sqrt(68) + sqrt(153) + 1)**2.
-2*sqrt(17) + 18
Simplify sqrt(66)/(sqrt(6)*3) + sqrt(11) + 4.
4 + 4*sqrt(11)/3
Simplify -5*sqrt(30)/(sqrt(24)/sqrt(4)).
-5*sqrt(5)
Simplify 3*(-3 + sqrt(2)) - ((sqrt(32))**2 + 0).
-41 + 3*sqrt(2)
Simplify (sqrt(567) + 0 + -5)**2 + (sqrt(567) - ((3*sqrt(567) - sqrt(567))*-6)**2).
-81056 - 81*sqrt(7)
Simplify 5 + ((6*sqrt(168) - sqrt(168) - sqrt(168))/sqrt(6) - sqrt(28))/sqrt(4).
5 + 3*sqrt(7)
Simplify (-6*(-1 + (sqrt(16)/sqrt(8) - sqrt(2)))*-6)**2.
1296
Simplify sqrt(50)*1 - ((-1 + sqrt(2))*3)**2.
-27 + 23*sqrt(2)
Simplify ((sqrt(1100))**2 + -1)*6.
6594
Simplify ((0 + sqrt(32))*-4)**2.
512
Simplify (-4*sqrt(78)/sqrt(6) + sqrt(13) + (sqrt(117)*-2)/sqrt(9))**2.
325
Simplify (sqrt(180)/sqrt(3)*-3)/(sqrt(12) - (-2*sqrt(192) - sqrt(192))).
-3*sqrt(5)/13
Simplify (3 + (sqrt(272) - (sqrt(272) + (sqrt(272) - (sqrt(272) + 2 + sqrt(272) + sqrt(272)))*-3)))**2.
144*sqrt(17) + 9801
Simplify 1*(-4*sqrt(3)*-2 + sqrt(3) + -3).
-3 + 9*sqrt(3)
Simplify (sqrt(66) + -2*sqrt(66)*2)/(sqrt(6) - (sqrt(864)*-2 - sqrt(6)))*-2.
3*sqrt(11)/13
Simplify ((sqrt(143) - sqrt(143)*2)*-1 + sqrt(143))/((sqrt(11) - (sqrt(539) + sqrt(11)) - sqrt(11))*5).
-sqrt(13)/20
Simplify (1*sqrt(72) + 5)**2.
60*sqrt(2) + 97
Simplify ((sqrt(100)*-2)/sqrt(10))/(sqrt(45)*-3).
2*sqrt(2)/9
Simplify (sqrt(75) + 4)**2*-2.
-182 - 80*sqrt(3)
Simplify 1*((sqrt(2448) - (sqrt(2448) - -1*sqrt(2448))) + sqrt(2448))**2 + 3*sqrt(2448) + sqrt(2448) + 0.
48*sqrt(17)
Simplify 4*(sqrt(11) - sqrt(44))*3 + 2.
-12*sqrt(11) + 2
Simplify -4 + -1*(3 + sqrt(5) + sqrt(5)).
-7 - 2*sqrt(5)
Simplify (1*sqrt(650))/(sqrt(98) + sqrt(98)*-1 + sqrt(98)).
5*sqrt(13)/7
Simplify -2*sqrt(704)/sqrt(4) + -1*sqrt(77)/(sqrt(14)/sqrt(2)).
-9*sqrt(11)
Simplify (6*(-2 + (sqrt(84)/(sqrt(12)*2) - sqrt(7))))**2.
72*sqrt(7) + 207
Simplify (sqrt(88) + -3*sqrt(88)*2)/sqrt(8) + -5.
-5*sqrt(11) - 5
Simplify ((3*-3*sqrt(136) - sqrt(136) - sqrt(136))/(sqrt(56)/sqrt(7)*2))**2.
2057/4
Simplify (4 + (-1 + sqrt(475) + sqrt(475))**2 + sqrt(475) - sqrt(475)) + sqrt(475).
-15*sqrt(19) + 1905
Simplify (0 + sqrt(833) + 1)**2.
14*sqrt(17) + 834
Simplify ((sqrt(20) + sqrt(20)*-1)*-6*-2)**2.
0
Simplify (-2*sqrt(91)*-5 - sqrt(91))/((sqrt(84) + (sqrt(84) - -2*sqrt(84)))/sqrt(12)).
9*sqrt(13)/4
Simplify (-3*-1*sqrt(114) + sqrt(114))/(1*sqrt(96)) + 5.
sqrt(19) + 5
Simplify (4*(0 + sqrt(13)) - (-2 + sqrt(13) + 0))**2.
12*sqrt(13) + 121
Simplify sqrt(190)/(1*sqrt(1210))*-2.
-2*sqrt(19)/11
Simplify sqrt(175) + (sqrt(175) - ((2 + sqrt(175) + 1)**2 + sqrt(175))) + 2*sqrt(175) + 4.
-180 - 15*sqrt(7)
Simplify -3*5*sqrt(12)/sqrt(4).
-15*sqrt(3)
Simplify ((sqrt(330)/sqrt(6))/sqrt(5) + 1 + sqrt(1331))**2.
24*sqrt(11) + 1585
Simplify 5 + (sqrt(99) - (sqrt(99)*2)**2) - (sqrt(4400) + sqrt(4400)*2).
-391 - 57*sqrt(11)
Simplify (sqrt(10)/(sqrt(45)/(sqrt(36)/sqrt(4))))**2.
2
Simplify ((sqrt(240)*-1)/sqrt(8))/(sqrt(70)/(sqrt(7)*2)).
-2*sqrt(3)
Simplify (sqrt(76) + 3*sqrt(76)*3)/((s | {
"pile_set_name": "DM Mathematics"
} |
(3 + 2 - 7)*(3*i + 2*i - 4*i) + 6*i - 21*i + 35*i + 0*i - 4*i + 3*i in the form z*i + h and give z.
17
Rearrange (4 + 2 - 3 + 2 - 1 - 2 + 1 - 1 + 1 + (0 - 1 - 1)*(-3 - 1 + 3))*(-12*m - 6*m + 10*m) to the form k*m + j and give k.
-40
Rearrange (4 + 0 + 0)*(6 - 6*g - 6)*(-3 + 0 + 5) to the form k + v*g and give v.
-48
Rearrange 30*q - q**4 - 15*q - q**4 - 16*q - 8*q**3 + 2 to the form p + s*q + c*q**2 + k*q**3 + v*q**4 and give s.
-1
Express -5 - 4*c**2 + 3*c**2 - 2 in the form h + k*c**2 + f*c and give k.
-1
Rearrange -1 - 77*n**2 - 2*n**4 - n + n**3 + 80*n**2 - n to the form f + b*n**4 + j*n + z*n**2 + r*n**3 and give z.
3
Express (-2 + 3 - 4)*((-o - o + 3*o)*(-3 + 0 + 4) - 1 - 2*o + 1 + 2*o + 0 + 0 + o - 2*o + 3*o) as t + n*o and give t.
0
Rearrange (0 + 4 - 3)*(-2 - 4 + 2)*(2*m - 9*m + 0*m) to h + b*m and give b.
28
Express 20*m**3 - 7*m**3 + 5*m - 4*m in the form p*m + a + t*m**2 + o*m**3 and give o.
13
Rearrange 8*z**2 + z**3 - 9*z**2 + 6*z**2 + 4*z**2 - 2 to the form o + u*z**2 + h*z + w*z**3 and give w.
1
Express (0 - 2*c + 0)*(c**2 - 5*c**2 + 5*c**2) + 8*c**3 - 6*c**3 - 37*c**3 as b*c + q*c**2 + z + n*c**3 and give n.
-37
Express (2*v + v - 5*v)*(1 - 1 + 2) + 3 - 2*v - 3 + 0 + 2*v + 0 + 3 + 3*v - 3 in the form k*v + f and give k.
-1
Rearrange (3 - 4 + 3)*(-34*s + 9*s - 10*s)*(-1 - s + 1) to i*s + r*s**2 + g and give r.
70
Rearrange (-7 + 8 + 11)*((2 + 2 - 5)*(3*j + j - 3*j) + 2 - 2*j - 2 + 4*j - j - 2*j) to n*j + y and give n.
-24
Express 5*v**3 - 13*v - 7*v + 21*v + 9*v**3 in the form c + k*v + a*v**2 + i*v**3 and give k.
1
Rearrange -289 - 52*j**2 + 289 to the form b + z*j**2 + o*j and give z.
-52
Express -67*c - 57*c + 62*c - 75*c as f + n*c and give n.
-137
Express 0*v**4 + 5 - v**4 + 4 + 3*v**4 + 2*v**3 in the form z + o*v**3 + u*v + c*v**4 + h*v**2 and give o.
2
Express (-72 + 72 + 15*q)*(2*q**2 - 5*q**2 + 2*q**2) + (2*q + 4 - 4)*(-3*q**2 - 3*q + 3*q) in the form z*q**2 + a*q**3 + u*q + l and give a.
-21
Rearrange (3*s**2 - 2*s**2 - 2*s**2)*(-8*s - 28*s + s) to p*s**3 + h + k*s + i*s**2 and give i.
0
Express (-7 - 3 + 4)*(-7 + 7 + 4*x) + 0*x - x + 2*x + (-3*x + x + 0*x)*(0 + 3 - 2) + 3*x - 3*x - x as a + z*x and give z.
-26
Rearrange (2 - 1 - 3)*(2*z + 2*z**3 - 2*z) + (-z + 0 + 0)*(-z**2 - 2 + 2) - 2*z**3 - 3*z + 3*z - z**3 + 0 + 0 to the form j + v*z**3 + y*z**2 + r*z and give v.
-6
Express -18*u - u**2 + 33*u + 9 - 15*u in the form q*u**2 + l + t*u and give l.
9
Express (3 - 6 + 1)*(-y - y + 0*y + (1 - 1 - 2)*(y + 0*y + y) + 0*y + 4*y - 2*y)*(-1 + 1 - 3) as s + q*y and give q.
-24
Express (-7 + 3 - 1)*(-2 - 1 + 0)*(-2 + v**2 + 2) as x*v + s + d*v**2 and give d.
15
Express 0 + 0 + 375*w - 393*w as x*w + z and give x.
-18
Rearrange 0 - a + 0 + (-2 - 2 + 7)*(-5 - 2*a + 5) to k*a + b and give k.
-7
Express (-11 + 11 - 26*a)*((4*a - 4*a - 2*a)*(-4 - 1 + 2) - 1 - 3*a + 1) in the form v*a + f*a**2 + o and give f.
-78
Rearrange (-2 + 6 - 2)*(-3*w**4 + w**3 - w**3) + (w**2 - 3 + 3)*(-54 + 10*w**2 + 54) to x*w**2 + d + b*w + j*w**3 + g*w**4 and give b.
0
Express (2 - 3 + 3)*(-2*s - 3*s + 6*s) + 0*s + s + 2*s + 1 - 1 - 2*s + (-4 - 1 + 3)*(-2*s + s - 2*s) in the form v + l*s and give l.
9
Rearrange -149 - 10*s + 149 to the form w + o*s and give o.
-10
Rearrange (-4 + t - t + 2*t)*(0 + 4 + 0) - t - 3*t + 2*t to the form u*t + r and give r.
-16
Express -5*p**3 + 44*p**2 - 47*p**2 + 2 + 6*p**3 in the form y*p**2 + s + r*p + v*p**3 and give s.
2
Rearrange (-6*p + p + 3*p)*(-4 - p + 4) - 20*p**2 - 9*p**2 - 5*p + 4 + 32*p**2 to the form s*p**2 + d*p + x and give d.
-5
Rearrange 7*y**2 + 10 - y - 15 + 12 to the form z*y + s + a*y**2 and give a.
7
Express -c**2 + 0*c + 0*c**3 + 6*c**3 - 3*c - 4*c**3 as k*c + v + g*c**3 + a*c**2 and give g.
2
Express 3*w + 2*w + 0*w + 2*w**2 + w**2 as i + p*w**2 + v*w and give v.
5
Express m**4 - 40 + 19 + 5 + 2*m**3 as z*m + v*m**3 + l + g*m**2 + j*m**4 and give l.
-16
Rearrange 1 + 2194*h - 1 - 2174*h to the form m + w*h and give w.
20
Express -4 - 2*t**2 + 1 - 23*t**2 - t**2 as c + x*t + f*t**2 and give f.
-26
Express -7*r + 3*r + 0*r - 10*r in the form n*r + q and give n.
-14
Express 4*b + b**4 + 3 - 1 - b**3 - b**3 in the form j*b**4 + f + q*b**3 + h*b + z*b**2 and give h.
4
Rearrange -2*v**3 - 6*v**2 - v - v**2 - 2*v + 3*v**2 to p*v + i*v**2 + j*v**3 + o and give p.
-3
Rearrange (3*v + v - 5*v)*(6*v**3 - 4*v**3 + 3*v**3 + (-3*v - 3*v + 2*v)*(2*v**2 + 3 - 3)) to the form j*v**3 + k*v**4 + o + z*v**2 + m*v and give z.
0
Express (4*o**2 - 1 + 1)*(5*o + 35 - 7*o - 36) in the form f*o**2 + y*o + u*o**3 + k and give u.
-8
Rearrange -24*x + 1 - 1 - 37*x to the form h + v*x and give v.
-61
Rearrange -14 + 7*b + 14 to w*b + x and give w.
7
Rearrange -w**2 - 8*w**4 + w**3 + w**3 - 1 - 7*w**4 to the form c*w**3 + r*w**4 + i*w + k + z*w**2 and give z.
-1
Rearrange -6*u**2 + 4*u**2 + u**2 - 8*u**2 to the form z*u + y*u**2 + i and give y.
-9
Rearrange 6 + 5*o - 6 - o + 2*o - 4*o + (3 - 6 + 2)*(3 + 2*o - 3) + 4*o - 3*o - 3*o + o + o - 4*o + 0*o - o + 0*o to l + y*o and give l.
0
Express -5*a**3 + 3*a**3 + 3*a**3 + (-4*a**3 + a**3 + 2*a**3)*(2 - 4 - 1) + 0*a**3 - 2*a**3 + a**3 as k + y*a + x*a**3 + j*a**2 and give x.
3
Rearrange (-z + 0*z - z)*(-4 + 3 + 0)*(0 + 1 - 2 + 10 + 10 - 13 + 7 - 3 - 2 + (2 - 1 - 2)*(-3 + 6 - 2)) to n*z + f and give n.
14
Rearrange (-z - 4*z + 3*z)*(-1 - 2 + 4)*(4*z**2 - 11*z**2 + 0*z**2) to the form r*z**2 + w*z + x + p*z**3 and give p.
14
Rearrange (2*j - 4*j + 0*j)*((-4 - 1 + 2)*(5 - 2 + 1) + (-1 + 5 - 2)*(2 - 5 + 2) + 1 + 2 - 1) to n*j + c and give n.
24
Express (-2 + 1 + 3)*(11*l - 10*l + 22*l)*(-l**3 + l**3 - l**3) in the form w*l + o*l**2 + f*l**4 + z*l**3 + i and give f.
-46
Express 2*p**2 - 11*p + 2*p**2 - 3*p**2 as h*p**2 + f + j*p and give j.
-11
Rearrange 67 + 7*q + q**2 - 5*q + 10*q - 66 + 2*q**4 to the form c*q**2 + o*q**4 + f*q + n + z*q**3 and give o.
2
Express (0*x + 5*x + 1 - 6*x)*(-3 + 8 + 6) as k*x + o and give k.
-11
Express -29*b**2 - 30*b**2 + 1 - 11*b**3 + 59*b**2 as q*b**3 + r*b**2 + f*b + y and give y.
1
Rearrange 15*t + 4 + 0 - 4 to p + i*t and give i.
15
Rearrange 0 - 11*f + 0 + 5*f to k + d*f and give d.
-6
Rearrange (4*d - 4*d**3 - 4*d)*(5*d - 5*d + d) - d**4 + d**4 - d**4 to the form n + i*d**3 + v*d**2 + t*d + s*d**4 and give s.
-5
Rearrange (2*t**4 + 6*t**4 - 4*t**4)*(4 - 1 - 2) to the form f*t + c*t**3 + u*t**4 + p*t**2 + d and give u.
4
Rearrange (7*u**2 + 8*u**2 - 8*u**2)*(0 - 3 + 2) to the form f + p*u + g*u**2 and give g.
-7
Express (2*l - 4*l - 2 + l)*(3 - 1 - 8) in the form o*l + j and give j.
12
Express (-7 + 27 - 7 - 2*k)*((4*k - 3*k + k)*(-k - 2*k + 5*k) - 4*k**2 + 3*k**2 + 0*k**2) in the form d*k + b + s*k**2 + v*k**3 and give s.
39
Express (2 - t - 2)*(0 + 0 - 2*t) + (0*t - t - 5*t)*(-2*t + 0*t + t) in the form c + h*t**2 + a*t and give h.
8
Rearrange 112 + 117 + 7*m - 3*m - 239 to l + k*m and give k.
4
Rearrange (-9*y - 5*y - 7 + 12*y)*(1 + 2 - 6) to v + c*y and give c.
6
Express -t + 1 - 6*t - 3*t - 2*t**3 + 0*t**3 as j*t**3 + w*t + c + n*t**2 and give w.
-10
Express -c**3 - 7*c + 1 - c**2 + c**2 + c**2 as i*c**3 + o + v*c**2 + y*c and give v.
1
Rearrange 23 + 0*i**3 + 3*i**2 + 3*i**3 - 23 + i to d*i**2 + q*i**3 + t*i + a and give d.
3
Express (-2 + 2 - 1)*(-2*d + d + 2*d + (0 - 1 - 1)*(0*d - d + 0*d) + 3*d + 6*d + 0*d) as w*d + o and give w.
-12
Express 5*f + 2*f + 2*f in the form x*f + y and give x.
9
Express s**3 + 5*s + s**3 - 4*s**3 - s**2 + 0*s**2 as w*s**2 + a*s + d + b*s**3 and give a.
5
Express -5*i**3 - i**4 + 2 + 11*i**3 + 3*i**4 - 5*i**3 in the form a*i**4 + q*i**2 + u + d*i + t*i**3 and give d.
0
Express (-22*g - 8*g - 3*g)*(3 - 3*g**2 - 3)*(g - g - 2*g) as a + l*g**4 + r*g**3 + y*g**2 + q*g and give l.
-198
Rearrange (10*l**2 - 22*l**2 + 9*l**2 - 1)*(2 + 1 - 1) to n*l**2 + p + o*l and give p.
-2
Rearrange (-3*x + 0*x + x)*(-39 + 39 + 41*x) + (5*x**2 - 2*x**2 - x**2)*(5 + 3 - 5) to the form j*x + k*x**2 + m and give k.
-76
Rearrange 27*h + 1 - 7*h**2 - 18*h + 9*h**2 to v*h + n + a*h**2 and give a.
2
Express 7*f**2 - 17*f**2 - 4*f**2 - 13*f**2 as w*f**2 + h*f + i and give w.
-27
Rearrange -10*u**3 + 14*u - 14*u + 2*u**3 - u**3 + u**3 + (-3*u + 3*u - 2*u**2)*(5*u - 4*u - 4*u) to a + w*u**2 + i*u**3 + f*u and give i.
-2
Express -2*b**4 + 1 | {
"pile_set_name": "DM Mathematics"
} |
e -2*m = -w*h - 20, -3*m = -5*m - 8. Calculate z(h).
-10
Let t(q) = -q**2 - 17*q - 19. Let r = -1312 - -1295. Calculate t(r).
-19
Let u(h) = h**3 + 2*h**2 + 3*h + 2. Suppose 5*s - 28 + 43 = 0. Determine u(s).
-16
Let g(i) = -i**3 - 8*i**2 + 11*i + 10. Let x be -5 - (5 - (-4 + 5)). What is g(x)?
-8
Let y(i) be the third derivative of i**5/30 - 17*i**4/24 - 23*i**3/6 + 522*i**2. Determine y(10).
7
Let t(y) = y**3 - 2*y**2 - y + 3. Suppose 5*p = -0*p + 25, 3*b = 4*p - 11. Let l(c) = 34*c**2 - 34*c**2 - 3*c**b. Let a be l(-1). Calculate t(a).
9
Let h(l) be the second derivative of -l**3/2 + 95*l. Suppose -4 = 3*z + 2. Determine h(z).
6
Let b be 7/1 + 2/(-2). Let v(g) = -2*g + 5. Let s(f) = -5*f + 16. Let h(t) = s(t) - 3*v(t). What is h(b)?
7
Let t = 84 - 82. Let i(p) = 9 + 0*p**2 + p**3 + 39*p - 47*p - 5*p**t. Determine i(6).
-3
Suppose -21 - 7 = 3*c - 4*y, 5*y + 73 = -3*c. Let x(j) = j**2 + 17*j + 8. Determine x(c).
-8
Let n(w) = -3*w**2 - 5*w + 3. Let k be (-2 + 1)*(10 + -8). Let i(u) = 7*u**2 + 9*u - 6. Let z(p) = k*i(p) - 5*n(p). Calculate z(-8).
5
Suppose 0 = -3*q - 0*o - 2*o + 82, -2*q + 52 = 4*o. Let y(z) = 3 + 11*z + 13*z - q*z. Let x be 0*1/2 + 2. Calculate y(x).
-5
Let n(o) = 15 + 15 + o - 31. Determine n(6).
5
Let i(s) = -s**3 + 10*s**2 + 12*s - 10. Let t be i(11). Let h(z) = 7*z - 6*z - 6*z + z + z. What is h(t)?
-3
Let u(v) be the third derivative of -v**8/6720 - v**7/1260 - v**6/720 - v**5/40 - v**4/6 - 8*v**2. Let b(p) be the second derivative of u(p). Calculate b(-3).
9
Let d(a) = -a + 6. Let o = -143 - -228. Let b = o - 79. Give d(b).
0
Let c(o) be the third derivative of -o**6/120 - o**5/60 - 13*o**2. Give c(0).
0
Let o(s) = s - 14. Let p(q) = q - 14. Let z(y) = 6*o(y) - 5*p(y). Determine z(9).
-5
Let t(z) = -2*z + 1 - 7282*z**2 + 7281*z**2 + z. Determine t(1).
-1
Let k = 6 - 4. Let h(m) = -2*m + 4. Let f be h(-4). Let b(j) = -2*j - j**2 + f - 12. Determine b(k).
-8
Suppose -16*d = 2*t - 21*d + 27, -2*d + 9 = t. Let p(a) = 9*a**3 - 2*a**2 + a + 2. Determine p(t).
-10
Let o = 2249 + -2256. Let y(g) = 2*g**3 + 15*g**2 + 6*g - 10. Give y(o).
-3
Let z = 634 + -636. Let p(o) = -o - 2. Give p(z).
0
Let s(h) be the third derivative of h**4/6 + 5*h**3/2 - 3*h**2 + 2. Let d(n) = -9*n - 31. Let o(g) = -3*d(g) - 7*s(g). Calculate o(0).
-12
Let h = -5 - -7. Let x(q) be the first derivative of -q**2/2 + q + 1693. Determine x(h).
-1
Let i(s) = -7*s - 26. Let l be i(-4). Let w(t) = t**3 - 3*t**2 + 3*t - 1. What is w(l)?
1
Let z = 0 - 1. Let c(h) be the second derivative of 2*h - 1/2*h**2 + 2/3*h**3 + 6. Give c(z).
-5
Let g(u) be the first derivative of -u**3/3 + 3*u**2 + 7*u + 1. Suppose -83 - 127 = -42*v. Give g(v).
12
Suppose -11*l = -6*l - 10. Let p(g) be the first derivative of 4 - g**l - 3*g + 2/3*g**3. Give p(3).
9
Let k(s) = s - 16. Suppose -62 = -4*x - 4*u + 6*u, -2*u - 10 = 0. Give k(x).
-3
Let g(b) be the third derivative of -1/2*b**3 + 0 + 1/12*b**5 + 0*b + b**2 - 1/120*b**6 + 0*b**4. Give g(4).
13
Let s(m) be the first derivative of 6*m**2 + m - 48. Give s(1).
13
Let r(l) be the first derivative of 3*l**2/2 - 2*l + 5. Let n(c) = -5*c + 5. Let o(j) = -4*n(j) - 7*r(j). Suppose 46 = 5*k + 16. Calculate o(k).
-12
Suppose 9*i + 121 = -1175. Let f be i/42 + 3/7. Let d(t) = -2*t - 1 - 2*t + 0. Determine d(f).
11
Let c(o) = -o**2 - 5*o + 2. Let l be c(-4). Let y(m) = -8*m + 2. Let v be ((-1)/(-2))/(5/(-10)). Let i(s) = s + 1. Let x(t) = v*y(t) - 6*i(t). Give x(l).
4
Let u be (-4)/(-2) - 2*-1. Let x be (-2 - -4) + 0/(-2) + 3. Let p(i) = 4*i - 9*i - i + x*i. What is p(u)?
-4
Let b(p) = p**3 - 6*p**2 + 6*p - 2. Let g be b(5). Let r(l) = 0*l + l**2 - l - g*l. Determine r(3).
-3
Suppose -5*s + 3*v - 45 = 0, -v = -0*v - 5. Let j(h) be the second derivative of h**4/12 + h**3 + 3*h**2/2 + 153*h. Determine j(s).
3
Suppose -x = -3, -4*i + 2*x = i + 16. Let w(p) = p**3 + 7*p**2 + 5*p + 1. Give w(i).
11
Let v(f) be the second derivative of f**4/12 - 5*f**3/2 + 33*f**2/2 - 23*f + 2. Give v(11).
-11
Let q(y) be the second derivative of -y**4/12 - 5*y**3/3 + 7*y**2/2 + 8*y. What is q(-6)?
31
Let h(p) = -3*p**3 - 5*p**2 - 2*p - p - 7 + 10*p**3 - 8*p**3. Calculate h(-5).
8
Suppose 17*r - 19 + 19 = 0. Let b(h) = -h**2 + h - 21. Determine b(r).
-21
Let d(l) = l + 1. Suppose -3*q + 6 = -3*i, -2 = -5*i - 3*q - 4. What is d(i)?
0
Let x(z) = z**3 - 3*z**2 + 2*z - 4. Let f = -11 - -17. Suppose -30 = -f*q + 3*q. Let r be 2/q - (-14)/5. Determine x(r).
2
Let s(k) = 2*k**2 - 5*k + 29. Let u(t) = -3*t**2 + 4*t - 36. Let q(y) = -4*s(y) - 3*u(y). Let x = -10 + 2. Determine q(x).
-8
Let n(f) = -3*f + 4. Let a(r) = -r**3 + 4*r**2 + 9. Let j be a(5). Let y(b) = 5*b - 10. Let m be y(6). Let s = j + m. Calculate n(s).
-8
Let h(d) = -d**3 + 7*d**2 - 8*d + 6. Let y be h(6). Let n = y - 0. Let m(j) = 3*j + 2. Let v(r) = 16*r + 11. Let q(f) = 11*m(f) - 2*v(f). Determine q(n).
-6
Let o(d) = -3*d + 1. Let j be 6/4 + -2 + 357/(-6). Let q be 15*((-5)/j)/(1/4). Determine o(q).
-14
Let y(v) = v**3 - 8*v**2 - 33*v + 2. Let w be y(11). Let x = -5 + 8. Let r(z) = x*z + w*z - 4*z + 0*z. Determine r(6).
6
Let m(d) be the second derivative of -d**4/24 + d**3/6 - 11*d. Let w(f) be the second derivative of m(f). Let h(y) = y. Let k(s) = h(s) + w(s). Calculate k(6).
5
Let c(i) = i**3 - 6*i**2 - 6*i - 6. Let r be c(7). Let p be r/(-6) - (-26)/12. Let z(f) = -3*f + 0*f**p - f**2 + 6*f + 6*f**2 + 1. What is z(-2)?
15
Suppose 0 = 3*q - 8 + 2. Let a(k) = -4 + 2 - 2 + q + k. Determine a(0).
-2
Let m be 0 + 1 + -1 - -29. Let j(v) = -33 + 62 - m + 4*v - v**2. Determine j(4).
0
Let n(o) = 2*o - 1. Let i(q) = 7*q + 8. Let p(g) = i(g) - 3*n(g). Let s = 22 - 30. What is p(s)?
3
Let y = -15 - -12. Let r be (-6 + (-1 - -2))/1. Let j(f) = -f - 9. Let m(s) = -s - 6. Let q(v) = r*j(v) + 8*m(v). Calculate q(y).
6
Let n(j) = 2*j**3 - 8*j**2 + 10*j - 5. Suppose 2*o - 4*o + 2*k = -4, o + 13 = -4*k. Let l(y) = y**3 + y**2 + y - 1. Let u(x) = o*l(x) + n(x). What is u(8)?
4
Suppose 0 = 3*x + 4*x - 35. Suppose -x*b + 43 = -92. Let f be (-8)/20 - b/(-5). Let r(p) = p. Give r(f).
5
Let j(g) be the third derivative of g**4/24 + g**2. Let t = -74 + 76. Give j(t).
2
Let m(n) = n**3 - 4*n**2 + 2*n - 3. Let k = 21 - 12. Suppose -5*s - f + 15 = -k, s = 4*f - 12. Give m(s).
5
Let a(b) = 472 + 2*b - 944 + 473 - b**2. Let g = -1 - -3. Suppose -5*t = 4*y - 2*t - 22, g*y = -2*t + 12. Determine a(y).
-7
Let i(h) = h**3 + 5*h**2 - 7*h - 3. Let l = 43 - 31. Let n(g) = -g**2 + 10*g + 17. Let s be n(l). Let q = s + 1. Calculate i(q).
3
Let q(p) = -p**3 - 4*p**2 + p + 1. Let m(w) = -w**3 - 2*w**2 - 2*w - 3. Let x be m(0). Give q(x).
-11
Let a = 197/6 + -32. Let n(k) be the third derivative of a*k**3 + 0 - 1/24*k**4 + k**2 + 0*k. Determine n(0).
5
Let q = -7 - -1. Let s = q - -1. Let k(y) = 3 - 2*y + 3 + 4*y. Determine k(s).
-4
Let b be (0 - -7) + 1*-3. Let g(p) be the first derivative of p**2 - p - 5. Let h(i) = i - 1. Let d(r) = b*h(r) - g(r). What is d(4)?
5
Let r = -11 - -17. Suppose -2*q - 2*u = u - r, -u = 0. Let y(f) = 3*f - 3. Give y(q).
6
Let z = 7 + -4. Let p(n) = 2*n**z - 2*n**2 + n**2 + n**3. Let c = -1740 + 1741. What is p(c)?
2
Let q(p) = 2*p**3 - p**2 + p + 1. Let l(m) = 2*m**2 - 6*m - 1. Let f(r) = -2*r - 3. Let a be f(-3). Let x be l(a). Determine q(x).
-3
Let w be 7 - 5/((-10)/6). Let z be 40/6 + w/(-15). Let c(k) = 3*k + z + 2 - 6. What is c(-3)?
-7
Let z be (-4)/22 + (112/11 - 6). Let t(i) = -3*i**2 + 7*i - 5. What is t(z)?
-25
Let b(k) = 3*k - 6. Suppose 2*t = 3*t + 2. Let s be 3*(-3 + 1)/t. Let g be -2*6/s*-1. What is b(g)?
6
Let z(k) = -6*k - 1 - 4 - 4 - 3*k + k**2. Give z(8).
-17
Let q be (5/(-3))/(1/3). Let p be 25/(-100) + 3/(-4). Let v(a) = -6*a - 11. Let b(f) = f + 1. Let y(z) = p*v(z) - 5*b(z). Calculate y(q).
1
Let r = 4 + -2. Let z(t) = 9 - r*t - 4 + 8*t - 5*t. Calculate z(-4).
1
Suppose -3*b - 4*j + 40 = b, -5*b = -2*j - 22. Let y(r) be the third derivative of -r**5/60 + r**4/8 + 2*r**3/3 + 14*r**2 - 41*r. What is y(b)?
-14
Suppose -d - 1 = -6, 35 = -3*k + 4*d. Let b(r) = r**2 - 4*r + 1. What is b(k)?
46
Let a(c) be the third derivative of -c**4/12 + 7*c**3/6 + 7*c**2 + 6*c. Let t = -3 + 7. Let u = 9 - t. Give a(u).
-3
Let m(j) = -2*j + 6. Let r(t) = -11*t + 13. Let x(q) = 5*q - 6. Let a(h) = 4*r(h) + | {
"pile_set_name": "DM Mathematics"
} |
in -422*h**2 - 56*h**3 + 52*h**3 + 422*h**2.
-4*h**3
Collect the terms in 16 + 11 + 4 + 102*y - 31.
102*y
Collect the terms in -12 - 3*s**2 - 15 + 34 - 3.
-3*s**2 + 4
Collect the terms in -826*x + 2*x**2 + 1 - 421*x + 292*x.
2*x**2 - 955*x + 1
Collect the terms in -95*o**3 + 98*o**3 - 3210*o + 3210*o.
3*o**3
Collect the terms in -4631*h**3 - 4633*h**3 + 9257*h**3.
-7*h**3
Collect the terms in 124 + 27*q + 167 - 291.
27*q
Collect the terms in -4526*h**2 - 13440*h**2 - 10813*h**2 + 9291*h**2.
-19488*h**2
Collect the terms in -71168 - 7*l**3 + 71168.
-7*l**3
Collect the terms in -20*d**2 + 20*d**2 - 6*d**2 + 17*d**2 - 13*d**2.
-2*d**2
Collect the terms in -61*s**2 + 243705*s - 243705*s.
-61*s**2
Collect the terms in 12*c**3 + 7*c**3 + 1 + 2 - 423*c**2 - 21*c**3.
-2*c**3 - 423*c**2 + 3
Collect the terms in -7*u - 42*u + 12*u + 16*u + 11*u + 11*u.
u
Collect the terms in -612*u**3 - 257*u**3 + 125*u**3.
-744*u**3
Collect the terms in 76607 + 173*a**2 - 76607.
173*a**2
Collect the terms in 109*t**3 + 2*t**3 - 124*t**3.
-13*t**3
Collect the terms in -18843*s - 12*s**2 - 14*s**2 + 9419*s + 9424*s.
-26*s**2
Collect the terms in -5*z**2 - 22*z**2 - 19*z**2 - 39*z**2.
-85*z**2
Collect the terms in -23*n**2 + 7026 - 7026.
-23*n**2
Collect the terms in 66*x**2 + 67*x**2 + 66*x**2 + 58*x**2 - 271*x**2.
-14*x**2
Collect the terms in 0*j - 19258*j**2 - j - 19246*j**2 + j + 38528*j**2.
24*j**2
Collect the terms in 79*z**3 + 86*z**3 - 4*z - 298*z**3 + 24*z**3.
-109*z**3 - 4*z
Collect the terms in 374*n**3 + 406*n**3 - 796*n**3.
-16*n**3
Collect the terms in w - 204*w**3 + 5 - w + 247*w**3.
43*w**3 + 5
Collect the terms in 689 + 691 - 2079 + 699 + 436*r.
436*r
Collect the terms in -3625*s - 3624*s + 7240*s.
-9*s
Collect the terms in 2*l**3 + 1771668105*l - 1771668105*l.
2*l**3
Collect the terms in -44292*i**3 - 3579*i**2 + 44300*i**3 + 3579*i**2.
8*i**3
Collect the terms in 129145679916*t - 129145679916*t + 2*t**2.
2*t**2
Collect the terms in -27*r + 29*r - 57 - 7*r - 2*r**2.
-2*r**2 - 5*r - 57
Collect the terms in 35386*c**3 + 3753*c**3 - c + c.
39139*c**3
Collect the terms in -2103784*i**3 + 2103771*i**3 + 5 - 5.
-13*i**3
Collect the terms in 6*y**3 + 1266 + 11*y**3 - 6*y**2 + 6*y**2.
17*y**3 + 1266
Collect the terms in -69*m**3 + 166*m**3 - 70*m**3.
27*m**3
Collect the terms in 1112 - 77*l**2 - 1112 - 47*l**2 + 125*l**2.
l**2
Collect the terms in -9 + 2 + 176*d**2 - 2 + 9.
176*d**2
Collect the terms in 8*l + 41 - 41 - 1046*l**2.
-1046*l**2 + 8*l
Collect the terms in 682*f**3 + 7153*f**3 + 1840*f**3 + 2644*f**3.
12319*f**3
Collect the terms in 341*y**3 - 67*y**3 - 68*y**3 - 207*y**3.
-y**3
Collect the terms in 2*f**3 + 0*f**3 + 28726 - 57447 + 28721.
2*f**3
Collect the terms in -34*u**2 + 7*u**2 + 4 - u**2 + 16*u**2 + 10*u**2.
-2*u**2 + 4
Collect the terms in 34*s + 93*s + 23*s - 3 + 3.
150*s
Collect the terms in -8172*r**2 - 8170*r**2 - 8167*r**2 + 24507*r**2.
-2*r**2
Collect the terms in 214*y**2 - 517*y**2 + 293*y**2 + 2*y - 2*y.
-10*y**2
Collect the terms in 3*j**2 + 36*j**3 + 20*j**2 + 1 + 1.
36*j**3 + 23*j**2 + 2
Collect the terms in -26 + 2*g**2 + 78*g**2 + g**3 - 14*g**2.
g**3 + 66*g**2 - 26
Collect the terms in 5*f - 28*f - 9*f**2 - 44*f - 4*f.
-9*f**2 - 71*f
Collect the terms in -27554 + 13985 + 13569 - 4*c.
-4*c
Collect the terms in -179488*y - 179484*y + 358972*y + 6*y**3 - 4*y**3.
2*y**3
Collect the terms in 88538*j - 1 + 1 + 315547*j.
404085*j
Collect the terms in -2*f + 2 - f - 13 + 6 + 5.
-3*f
Collect the terms in -532 - 5291*i + 532 + 545*i.
-4746*i
Collect the terms in 4 + 18*r - r - 48*r - 82*r.
-113*r + 4
Collect the terms in 136 - 150 - t + 7*t + 2*t.
8*t - 14
Collect the terms in 7*d**3 - 152592 + 50862 - 4*d**3 + 50865 + 50865.
3*d**3
Collect the terms in 81*c**3 - 5*c**3 + 233*c**3.
309*c**3
Collect the terms in -824526*o + 412265*o + 412260*o.
-o
Collect the terms in 1 - 1 + 1072*x - 1768*x - 6572*x.
-7268*x
Collect the terms in -57 - 3*w**3 - 110 - 51 + 218.
-3*w**3
Collect the terms in -110*c**2 - 152*c**2 - 188*c**2.
-450*c**2
Collect the terms in 4290*w - 8583*w + 2*w**3 + 4293*w.
2*w**3
Collect the terms in 21065*v - 10521*v - 10523*v.
21*v
Collect the terms in 240840*p - 240840*p - 225*p**2 + 230*p**2.
5*p**2
Collect the terms in 3315*r + 3090*r - 6012*r.
393*r
Collect the terms in -107*g**2 + 219*g**2 - 111*g**2 - 140.
g**2 - 140
Collect the terms in 0*h - 57*h**3 - 144*h**3 - 2*h - 22*h**2.
-201*h**3 - 22*h**2 - 2*h
Collect the terms in -24*n**2 - 4*n**3 + 4199 - 4199.
-4*n**3 - 24*n**2
Collect the terms in -y**3 + 2*y**3 + 29169 - 10473 + 45630.
y**3 + 64326
Collect the terms in -810 - 389*b**3 + 810.
-389*b**3
Collect the terms in -32 - 32 + 62 + 272*u.
272*u - 2
Collect the terms in 3 + 5 - 139*q - 8 + 141*q.
2*q
Collect the terms in -1193*y + 3 + 36*y**3 - 3 + 1197*y.
36*y**3 + 4*y
Collect the terms in 835235 - 835177 - 3*i**3 + i**3.
-2*i**3 + 58
Collect the terms in 4570*g**2 + 4590*g**2 + 4610*g**2 - 13733*g**2.
37*g**2
Collect the terms in c + 13306343 - 13306343.
c
Collect the terms in 1363*o**2 - 3955*o**3 + 3944*o**3 - 1363*o**2.
-11*o**3
Collect the terms in -6*t - 160*t + 153*t.
-13*t
Collect the terms in -10*y - 495 + 75*y + 495.
65*y
Collect the terms in -528*z**3 + 48*z**3 + 488*z**3.
8*z**3
Collect the terms in 5*n + 48829*n**2 + 0*n + 0 - 48816*n**2 + 0.
13*n**2 + 5*n
Collect the terms in 56*o**2 - 16 - 22*o**2 - 64*o**2 + 488*o**2.
458*o**2 - 16
Collect the terms in -6 - 176*b**2 + 164*b**2 + 6.
-12*b**2
Collect the terms in 11*r**2 - 7*r**3 - 30*r**2 - r**3 - 202*r**2 + 4*r**3.
-4*r**3 - 221*r**2
Collect the terms in 5*t**3 - 244*t**2 + 95*t**2 + 96*t**2 + 53*t**2.
5*t**3
Collect the terms in 32*n - 14*n - 11 + 8 + 7.
18*n + 4
Collect the terms in 67*g + 104*g + 6*g + 187*g + 39*g.
403*g
Collect the terms in 757 + 526 + 655 + 2*u**2.
2*u**2 + 1938
Collect the terms in -424*t**3 + 396*t**3 + 11540*t**2 - 11540*t**2.
-28*t**3
Collect the terms in -623*k + 277*k + 429*k.
83*k
Collect the terms in -56706*x**3 + 56707*x**3 + 81*x - 81*x.
x**3
Collect the terms in 309*q - 152*q - 157*q + 64134*q**2 - 64140*q**2.
-6*q**2
Collect the terms in 4 - 3 - 523*o**3 - 74*o + 1.
-523*o**3 - 74*o + 2
Collect the terms in 692*d**3 + 572*d**3 + 9*d**3.
1273*d**3
Collect the terms in 81 - 81 - 2900*y + 2900*y + 2*y**3.
2*y**3
Collect the terms in -873*c - c**2 + 0*c**2 - 1001*c.
-c**2 - 1874*c
Collect the terms in 311*h - 344*h + 709*h + 561*h.
1237*h
Collect the terms in 10507*v**3 - 5251*v**3 - 5248*v**3.
8*v**3
Collect the terms in -40*k - 3*k + 11*k - 61*k - 29*k.
-122*k
Collect the terms in -15269957*m**2 + 15269957*m**2 - 4*m**3.
-4*m**3
Collect the terms in 23 - 126*z - 23 + 491*z**3 + 128*z.
491*z**3 + 2*z
Collect the terms in 1585*m**2 + 82*m - 82*m + 51*m**2.
1636*m**2
Collect the terms in 277*c**2 - 76*c**2 - 79*c**2 - 125*c**2.
-3*c**2
Collect the terms in -28*a**2 + 10*a - 6*a + 22*a**2 + 2*a**2 + 9*a.
-4*a**2 + 13*a
Collect the terms in -1 + 6161*s + 1 - 19420*s.
-13259*s
Collect the terms in -284*m**2 + 2*m**3 - 209*m**2 + 172*m**2.
2*m**3 - 321*m**2
Collect the terms in -76*p - 75*p - 227 + 220*p - 68*p.
p - 227
Collect the terms in -560*w + 1561*w - 443*w - 561*w.
-3*w
Collect the terms in 10581 + 2*c**3 - 25*c - 10581.
2*c**3 - 25*c
Collect the terms in -1423 + 2805 - 1382 - 247*n.
-247*n
Collect the terms in 59*z + 24 + 2*z**2 - 24.
2*z**2 + 59*z
Collect the terms in 179 - 53*c + 176 - 355.
-53*c
Collect the terms in -8 + 8 + 32801*c.
32801*c
Collect the terms in 66*x - 10*x + 5 - 8*x + 27*x.
75*x + 5
Collect the terms in 26 + 120 - 146 + 4*l**3.
4*l**3
Collect the terms in 1319*u**2 + 1338*u**2 - 2590*u**2 + 2.
67*u**2 + 2
Collect the terms in 79*x + 4*x + 7*x + 18*x.
108*x
Collect the terms in -5*f**2 + f**3 + 653*f + 2 + 6*f**2 - 2.
f**3 + f**2 + 653*f
Collect the terms in 149663*w**2 + 156*w**3 - 149663*w**2 - 134*w**3.
22*w**3
Collect the terms in 628*y + 627*y + 425*y - 1402*y.
278*y
Collect the terms in -11*z - 61*z + 63*z.
-9*z
Collect the terms in 11*p + 967 - 973 + 3*p.
14*p - 6
Collect the terms in 31*a + 39*a + 19*a + 29*a - 136*a.
-18*a
Collect the terms in 6*v**2 + 773*v - 773*v - 10*v**2 + 8*v**2.
4*v**2
Collect the terms in 247331149 - 247331149 - 20*c**2 - 7*c.
-20*c**2 - 7*c
Collect the | {
"pile_set_name": "DM Mathematics"
} |
l in the form x*l**3 + z*l**2 + m*l + j and give x.
-2
Express -213 + 200 - 3*k**3 + 3*k**2 - 5*k**2 in the form r*k**3 + a + t*k**2 + q*k and give r.
-3
Express -3*z**2 + 5*z**2 - z**2 + (z + z - z)*(5*z - 3*z - 4*z) + (-z + z + 2*z)*(-4*z - 3 + 3) + 0*z + 2*z**2 + 0*z in the form l*z + x + g*z**2 and give g.
-7
Express 0*g + 0*g - 2*g**2 - 4*g + 4*g - 7*g**2 + (1 - 3 + 3)*(-2*g**2 + g**2 - g**2) as s + o*g**2 + z*g and give s.
0
Express -4*r**3 + 6 + r**4 - 5 + 0*r**4 + r as g + q*r + d*r**3 + s*r**4 + n*r**2 and give d.
-4
Rearrange -2*w**4 + 3*w**2 - 4*w**2 + 558*w - 588*w - 2*w**3 to the form y*w**4 + h + x*w**3 + r*w + i*w**2 and give y.
-2
Express 17*n**2 + 27*n**2 - 18*n**2 + 27*n**2 as w*n**2 + d + o*n and give w.
53
Rearrange -4*r**2 - 1222 + 1234 + 3*r**2 + 0*r**2 to v*r**2 + k + d*r and give v.
-1
Express ((y**2 - y**2 - y**2)*(-2*y - 4*y + 4*y) - y + y + y**3 + y**2 - y**2 + 2*y**3)*(-1 + 2 + 3) as w*y**2 + s*y + f + k*y**3 and give s.
0
Express (0*l**2 - 2*l**2 + 3*l**2)*(-2*l**2 - 3*l**2 + 6*l**2) + (1 - 1 - l**3)*(3*l + 2*l - 3*l) as o*l**4 + t*l + x*l**3 + a*l**2 + p and give o.
-1
Rearrange -3*k**4 + k**4 + 2 - k + 2*k**4 - 2*k**2 - k**4 to b*k**4 + u + w*k + n*k**3 + c*k**2 and give w.
-1
Rearrange 2 - 2*v**2 + 0*v**2 - 4 - v**4 to g*v + b*v**2 + q + t*v**4 + p*v**3 and give q.
-2
Express 0*z**2 - z**4 - 3*z**2 - z**3 + 4*z**2 - 3 + 2 in the form g + d*z**4 + k*z + q*z**2 + p*z**3 and give p.
-1
Rearrange (-1 - 4*f - 2*f + 5*f)*(0*f + 4*f + 0*f) to z*f + q*f**2 + m and give z.
-4
Rearrange (0*u - 2*u + 5*u)*(-25*u - 5*u - 6*u)*(-2 - 1 + 5) to i*u**2 + j + f*u and give i.
-216
Express -4*o**2 - 14*o**2 - 8*o + 8*o as p*o**2 + r*o + h and give p.
-18
Rearrange (1 + 1 - 1)*(4*t - 25*t - 2*t) - 3 - 2*t + 3 + (t + 0 + 0)*(-1 + 0 - 1) to h + m*t and give m.
-27
Rearrange (-4*i - 2*i + 5*i)*(-7 + 11 - 3 - 3*i - 3 + 2*i + 3 + (-4 + 3 - 1)*(-1 - 2*i + 1)) to b*i**2 + t + w*i and give b.
-3
Express (4*h - 2*h + h)*(-5 + 2 + 2)*(-6*h**3 - 7*h**3 - 9*h**3) in the form k*h + w*h**4 + y*h**3 + n*h**2 + f and give w.
66
Express i**3 + 18*i**3 - 2*i**4 - i - i**3 + i**4 in the form d*i**4 + a + o*i**2 + f*i + w*i**3 and give w.
18
Express (2 + 0 + 1)*(3*i + 3*i + 12*i)*(-1 - 1 + 1) in the form a + v*i and give v.
-54
Express 16*q**2 - 3*q**2 + 7*q**2 as h*q + o*q**2 + y and give o.
20
Rearrange -3*f - 29 + 4*f + 5*f**3 - 6*f**3 to b*f + m + t*f**2 + w*f**3 and give m.
-29
Rearrange 4 - 1 + 0 - 2*x**2 + x**2 to the form q*x**2 + l*x + k and give k.
3
Rearrange -16 + 34*x + 27 - 11 to w*x + v and give w.
34
Rearrange 0*g**2 + 2*g**3 - 4*g - g**2 + 0*g**2 - 22*g**4 + 20*g**4 to f*g**4 + m*g**2 + n*g + z + x*g**3 and give z.
0
Express 3*p**3 + 3*p - 3 - 5*p**3 - 4*p as x*p + m*p**2 + o + z*p**3 and give x.
-1
Express 213 + 4*z - 213 in the form v + j*z and give j.
4
Rearrange -y**2 + 1 + 17*y**4 - y**2 - 3*y - 3*y**3 - 15*y**4 to the form n*y + d + q*y**4 + f*y**2 + v*y**3 and give v.
-3
Rearrange -y + 7*y**2 - 2*y**3 + 3*y**2 + 2*y + 0*y to the form a + p*y**3 + s*y**2 + t*y and give s.
10
Rearrange (6*s - 7*s + 9*s)*(5 - 1 - 1)*(s + 4 - 4) to the form x + j*s**2 + y*s and give j.
24
Rearrange -24 + 24 + 53*a to u + t*a and give t.
53
Rearrange -22*u - 7*u + 16*u to the form k + b*u and give b.
-13
Express -9*w**3 + 5*w**3 - 7 + 2*w**3 in the form j*w**3 + p*w + g*w**2 + x and give x.
-7
Express (h + 2 - 2)*(19*h + 21*h + 14*h) in the form b + n*h + o*h**2 and give o.
54
Express -2 + 2*a**2 + 8 + 22 - 10 in the form k + z*a**2 + q*a and give k.
18
Express (1 - 1 - 3*d)*(-32*d**2 - 60*d**2 + 34*d**2 - 30*d**2) as x*d**3 + w*d + l + p*d**2 and give x.
264
Rearrange 165*v + 9*v**2 - 165*v to y + k*v + u*v**2 and give u.
9
Express 2*d**3 + 2*d**2 - 2*d**2 + 4*d**2 + 2 - d**4 + 0*d**2 as i*d**3 + g*d**4 + n + u*d + t*d**2 and give t.
4
Rearrange -2*z**4 - 9*z**3 + 5*z**3 + z - 17 + 4*z**3 + 2*z**2 to the form b*z**4 + t*z + f + r*z**2 + a*z**3 and give b.
-2
Rearrange -11*x + 3 - 3 + 56*x to g*x + f and give g.
45
Express (0 + 2 - n + 0*n)*(12*n + 8 - 8) in the form h*n + m + f*n**2 and give f.
-12
Rearrange -3*p**2 - 19*p**4 + 16*p**4 - 2*p + 8*p**2 to the form r*p**4 + s*p**2 + b*p + i + n*p**3 and give s.
5
Express -38 + 3*b + 38 - 3*b**2 in the form l*b + i + p*b**2 and give l.
3
Express 2*q**3 - q**3 + 2*q**3 + (-q + 9 - 9)*(0 - 1 + 2*q**2 - 2) as h*q + m + a*q**3 + v*q**2 and give a.
1
Rearrange (8*r - 2*r + 9*r + (5 - 2 - 1)*(6*r - r - 4*r))*(0*r**2 + r**2 - 3*r**2) to the form v + x*r**2 + k*r**3 + d*r and give k.
-34
Rearrange (2*x - x + 0*x)*(x**2 + x - x) + (-32 - 22*x + 32)*(x**2 + 2*x**2 - x**2) to s*x**2 + q*x + m + d*x**3 and give d.
-43
Rearrange 7*k**4 + 0 - 3 + k - 10*k**4 to the form a + i*k + l*k**3 + y*k**2 + s*k**4 and give s.
-3
Express 59*y**3 + 4 + 55*y**3 - 112*y**3 + 6*y - 1 as r*y**2 + j*y + p*y**3 + x and give j.
6
Express -22*l + 4*l - 6*l - 7*l as c*l + i and give c.
-31
Rearrange 7*y**3 - 7*y**3 - 6*y**4 + (4*y - y - 4*y)*(0*y**3 + 5*y**3 - 4*y**3) to j*y**3 + w*y**4 + f*y**2 + q + x*y and give w.
-7
Express (i - 3*i + 4*i)*(-6 + 1 + 2) + 13*i + 11*i - 47*i in the form b*i + h and give h.
0
Rearrange 49*b - 42*b - 25*b to the form f*b + j and give f.
-18
Express 3 - 29 - 903*i**2 + 901*i**2 as n*i**2 + z + v*i and give z.
-26
Express -4*w + 0*w + 3*w + w + 2*w - 6*w + (0*w + 5*w - 4*w)*(4 - 4 - 1) - 4*w + 2*w + 5*w in the form c*w + q and give c.
-2
Rearrange -2*l + 3*l + 2*l + l to p*l + d and give p.
4
Rearrange (-4*d - 20*d - 1 - 11*d)*(-2 + 2 + 2*d**3) to q*d**3 + z*d + l + s*d**2 + v*d**4 and give v.
-70
Rearrange (-7*y - 38*y**2 + 4*y**2 + 5*y)*(4*y**2 - 3*y**2 + 2*y**2 + (-y + 3*y + 0*y)*(-2 + y + 2)) to the form f*y + r + j*y**2 + t*y**4 + k*y**3 and give t.
-170
Rearrange 0*b**2 + 0*b**2 - 11*b**2 to the form x*b + t + d*b**2 and give d.
-11
Rearrange -o**3 - 2 - 6*o**2 - 5*o**2 - 3*o**3 + 3*o**3 to x*o**2 + w + n*o**3 + h*o and give w.
-2
Rearrange 4*z**2 + 2 + z**2 - 4*z**2 + 2*z**2 - 3*z to u*z**2 + h*z + v and give h.
-3
Rearrange (-39*h + 26*h + 19*h)*(1 - 2*h**2 + h - h) to the form p*h**2 + f*h + r*h**3 + z and give r.
-12
Rearrange (-3*z + 2*z + 3*z)*(2 + 3 + 0)*(-4 - 12 - 1) to the form x + n*z and give n.
-170
Express (-6 - 2 + 5)*(-6*o + 1 - 1) in the form s + c*o and give c.
18
Express 1 + 2*p**2 - 15*p - 5*p - 10*p + 36*p + 2*p**3 as y*p**3 + k + b*p**2 + n*p and give n.
6
Express (o - 2 + 2)*(0 + 1 + 1)*(2 - 2 + 3) in the form t*o + f and give t.
6
Rearrange (0*d**2 - d**2 + 3*d**2)*(112*d - 60*d + 101*d + 40*d) to the form k + o*d**3 + g*d + w*d**2 and give o.
386
Express (3*r**2 - 4*r**2 - r**2)*(14*r - 3*r + 3*r) + r**2 - 2 - 6*r**2 + 7*r**2 + 8*r**3 in the form l*r**2 + d + c*r**3 + w*r and give c.
-20
Rearrange (4*g + 10 - 10)*(16*g**2 + 7*g**2 - 8*g**2)*(-1 + 1 + 2*g) to n + s*g + p*g**2 + h*g**3 + z*g**4 and give z.
120
Rearrange -117 - 35*f + 117 to the form m + q*f and give q.
-35
Rearrange -4*j - j - 3*j - 2 - 3*j**2 + 10*j to o*j + t + m*j**2 and give o.
2
Express (-3 - t**2 + 3 + (-1 - 3*t + 1)*(t + t + 0*t))*(0*t**2 + 19*t**2 - 4*t**2) in the form u*t**2 + d + b*t**3 + r*t**4 + j*t and give r.
-105
Rearrange (8*x - 3*x + x)*((2*x + 2*x - 3*x)*(5 - x - 5) - 2*x**2 - 2 + 4 + x**2)*(-2*x - 3*x + 4*x) to q*x**2 + g*x**3 + l*x + j + s*x**4 and give q.
-12
Rearrange d + 4*d**4 - 2*d**4 + d - d**2 to the form w*d**4 + r*d + t*d**3 + a*d**2 + m and give r.
2
Express 9*x + 14 - 14 - 23*x in the form u + f*x and give f.
-14
Express -9*w - 8*w**2 + 2*w**2 + 7*w in the form p + f*w**2 + l*w and give f.
-6
Rearrange -99 + 51 + 48 - 39*g to i + d*g and give d.
-39
Rearrange 0*n**2 + 3 - n**2 + 0*n**2 to the form c*n**2 + l*n + f and give f.
3
Rearrange o**2 + 4*o**2 + 0*o**2 to b*o + m + q*o**2 and give b.
0
Express -2 + 4*v**2 + 3 - 1 as z + m*v + j*v**2 and give z.
0
Rearrange (-2 + 3 + 1 + (-1 - 1 + 0)*(4 + 1 - 1))*(o - 2*o - o) + 11 + 2*o - 11 to the form m + b*o and give b.
14
Express (n**2 - 2*n**2 + 4*n**2)*(-255 + 255 - 16*n) in the form i*n**2 + j*n + r*n**3 + k and give r.
-48
Express 2214 - 2214 + 62*w**2 + (-3 + 0 + 1)*(4*w**2 + 2*w**2 - 4*w**2) as j*w**2 + n + f*w and give j.
58
Rearrange (0*t**2 - 3*t**2 + t**2)*(-23*t + 26*t**2 + 23*t) to the form v*t**4 + n*t**2 + z*t + o + | {
"pile_set_name": "DM Mathematics"
} |
- 8*t - 4. Let h(g) = -7*g**3 - 8*g**2 - 9*g - 4. Let q(z) = 5*h(z) - 6*x(z). Give q(w).
4
Let l = -48 + 63. Let y(b) = -5 + b - l*b + 11*b. Calculate y(-6).
13
Let g(a) = -3*a**2 - 7. Let y be g(5). Let z = y + 89. Let f(c) = c**3 - 5*c**2 - 9*c - 10. Determine f(z).
25
Let g(r) = 39*r**2 - 1 - 26*r**2 - 5 + 29 - r**3 + 23*r - 22*r**2. What is g(-11)?
12
Suppose -855 + 201 = 218*v. Let a(d) = -d**2 + 4*d - 1. Determine a(v).
-22
Suppose 1652 = -86*u + 100*u. Let l be ((-59)/u)/((-1)/(-2)). Let a(i) = 4 + 3*i - 2*i - 5. Determine a(l).
-2
Let v(i) = -i**2 - 4*i + 21. Let x be v(-10). Let n = x + 39. Let m(j) = -6*j**2 + 4*j**3 + 7*j**2 - 6*j**3 + 14 - j + 3*j**3. Give m(n).
14
Let t(w) be the third derivative of 0*w + 4*w**3 + 1/120*w**6 + 13 - 1/24*w**4 + 2*w**2 + 0*w**5. Give t(0).
24
Suppose -2*k - 4*m = -4, 4*k - 6*m + 7*m = 8. Let q(o) = -63*o + 66*o + 0*o**2 - k + o**2. Let j be (4/8)/(2/(-8)). Determine q(j).
-4
Let z(s) = 4*s**2 + 49*s + 141. Let w(f) = -5*f**2 - 51*f - 147. Let b(i) = 2*w(i) + 3*z(i). Calculate b(-19).
-4
Suppose -7*n + 6379 = 6330. Let t(v) be the first derivative of 4*v + 1/2*v**2 + n. Determine t(-4).
0
Let c(p) = 59*p + 118 - 30*p - 14*p - 204. What is c(6)?
4
Let f(t) be the second derivative of -t**5/60 - t**4/4 + 5*t**3/6 + 43*t**2/2 + 6*t - 1. Let j(n) be the first derivative of f(n). Give j(-6).
5
Let c = -380 - -383. Let k(b) = 0*b**c - 8*b**2 - 1431 - b**3 + 1430 - 4*b. Determine k(-7).
-22
Let w(x) = -x + 1. Let u(r) = 10*r - 55. Let t(s) = u(s) + 6*w(s). Determine t(14).
7
Let u(r) be the second derivative of -r**4/4 + 17*r**3/3 + 25*r**2/2 - 22*r. Let v(m) = 2*m**2 - 22*m - 17. Let h(i) = 5*u(i) + 7*v(i). Give h(16).
6
Let g(x) = 3*x**2 + 7*x - 13. Let z be (13 - (26 + -19))*((-3)/9 + 1). Give g(z).
63
Let d(j) = 2*j + 5 - 3*j + 2*j + j. Let w(k) = -4*k - 10. Let m(g) = 7*d(g) + 4*w(g). Suppose 2*u - 12 = -c, 2*u + 53 = 4*c + 45. Determine m(c).
-13
Let u be (1 - 2)/(20/(-15) - -1). Suppose 0 = -3*s - 4*b + 9, 8*s - 6*s - 5 = -u*b. Let h(t) = -t**3 + 7*t**2 + t - 5. Determine h(s).
2
Let x(k) = -k**2 - 16. Let h = -401 + 711. Let w = 310 - h. Give x(w).
-16
Let n(k) = -2*k**2 + 7*k - 2. Let p be 2219/147 + -11 - 2/21. Suppose 0 = 3*h + p*w - 15, 2*w + 10 = 7*h - 5*h. What is n(h)?
-17
Let r(v) be the second derivative of -1/6*v**3 + 86*v - 2 + 0*v**2 - 1/20*v**5 + 1/3*v**4. Determine r(5).
-30
Let f(h) = -h**2 + 8*h - 16. Let y be f(5). Let x(b) = b**2 - 9*b + 11. Let s be x(8). Let q(k) = 4*k**s - 22*k - 2*k**2 + 9*k + 2*k + 10*k. What is q(y)?
-5
Suppose 0 = 50*j - 1902 + 2452. Let p(i) be the third derivative of i**4/24 + 13*i**3/6 + 3*i**2. Calculate p(j).
2
Let x(s) = -9*s + 51 + 55 - 170 + 59. Calculate x(2).
-23
Suppose -2*j = -2*l - 2, -j + 22*l = 18*l + 2. Let t(o) = o**3 + 2*o**2 + o - 6. What is t(j)?
12
Let g(r) be the second derivative of -r**5/20 + r**4/12 - r**3/6 - r**2/2 - r. Let k be 0*(32 + -13)/(-57). What is g(k)?
-1
Suppose -17 = 6*r - 2*r + 5*i, -4*i = 20. Suppose -2*x = -2 - r. Let z(p) = 14 - p + x*p - 16. Calculate z(-2).
-4
Suppose -l = 17*i - 14*i, -i = -5*l. Let j(b) be the second derivative of i*b**2 + 7/6*b**3 - 10*b + 0. Calculate j(1).
7
Let a(r) be the second derivative of -r**3/3 - 8*r**2 - 963*r - 3. Let x = 13 + -24. Determine a(x).
6
Suppose 6*u - 11*u + 2*w - 22 = 0, 24 = -5*u + 4*w. Let l(g) = -4*g + 13. Give l(u).
29
Let n(j) be the first derivative of -2*j**3/3 - 11*j**2/2 - 6*j + 8446. Give n(-4).
6
Suppose 0 = 3*f - 4*v - 1654, v = f - 2*f + 549. Let y = f + -557. Let c(h) = h**3 + 6*h**2 - 6*h + 7. Determine c(y).
0
Let g = 21248 + -21258. Let w(r) be the third derivative of r**6/120 + r**5/6 + 5*r**3/6 - 5*r**2. Calculate w(g).
5
Let o(q) = -q**2 + 5*q + 9. Suppose -8*i + 13 + 43 = 0. Let b(p) = -5*p + 35. Let c be b(i). Suppose w + 4 - 11 = c. Determine o(w).
-5
Suppose -23 - 1 = -8*s. Let l(n) = 3*n - n**s + 13*n - 7*n**2 + 6 - 19*n + 4*n. Calculate l(-7).
-1
Let r(y) = y**2 - 7*y - 5. Let z(f) = 4*f + 3. Let g(v) = 4*r(v) + 7*z(v). Suppose 119*w = 234 + 107 + 16. What is g(w)?
37
Suppose 560 = h + 4*h - 5*m, -110 = -h - m. Let z(o) = -h*o**2 + 228*o**2 - 1 - 113*o**2. What is z(-2)?
15
Let o(u) be the second derivative of u**4/4 - 8*u**3/3 + u**2/2 - 8538*u. Determine o(7).
36
Let r(q) be the second derivative of q**6/720 - q**5/60 - 26*q**4/3 - 4*q + 5. Let v(s) be the third derivative of r(s). Calculate v(-4).
-6
Let w(q) be the second derivative of q**6/40 + q**5/60 - q**3/3 + 70*q**2 - 138*q. Let r(g) be the first derivative of w(g). Calculate r(2).
26
Let w(z) be the third derivative of 23*z**6/120 - z**5/30 - z**4/12 + z**3/2 - 4*z**2. Determine w(1).
22
Suppose -c = -2, 5*p + c = -2 + 4. Suppose -5*q + 12*q - 14 = p. Let b(i) = 7*i - 2*i + q*i + 4*i**2 - 5*i**2 - 4. Calculate b(7).
-4
Let w(y) = -2*y**2 + 27*y - 12. Let p(z) = z**2 - 13*z + 5. Let a(b) = -7*p(b) - 3*w(b). Let f be 9*(-3)/4*(-4)/3. Determine a(f).
10
Let y(u) = -59*u + 1648. Let i be y(28). Let b(m) = m**3 + 3*m**2 - m - 1. Determine b(i).
-13
Let i(x) = x**2 - 6*x - 1. Suppose 5*t + 0*t = 5*z - 50, -2*z - 7*t = 25. Let q = 29 + -12. Suppose q*y + z = 18*y. Calculate i(y).
-6
Suppose -2*x = 5*l - l + 2, 3*l = -x + 1. Let i be (119/(-35) - (-2)/5) + 5. Let n(h) = -h - h + 1 - 82*h**2 + 85*h**2 + 0 - h - i*h**3. What is n(l)?
-9
Let b(k) = -k**3 + 4*k**2 + 2*k + 16. Let j be b(5). Let a(g) = g**2 + g + 1. Let n(z) = z - 1 - 2*z + 0*z + 0*z. Let s(r) = j*a(r) + 2*n(r). Calculate s(2).
1
Let y = -5 - -10. Let f(a) be the second derivative of a**5/120 + a**4/24 - 161*a**3/6 - 119*a. Let m(i) be the second derivative of f(i). What is m(y)?
6
Let c(b) be the third derivative of -b**5/30 - 2*b**3/3 + 5*b**2 + 30*b. Determine c(4).
-36
Let v(j) = 2251*j**2 - 1130*j**2 - 4*j + 3 - 1120*j**2. Let u = 3 - 0. Calculate v(u).
0
Let a(s) = -77*s**2 - 16*s**2 - 76600 + 76602 - 2*s. Give a(1).
-93
Let n(g) = 4*g + 25. Let z(y) = -2*y - 12. Let c(h) = -3*n(h) - 7*z(h). Let s(k) = -k**3 - 118*k**2 + 358*k - 614. Let q be s(-121). Give c(q).
-9
Let k(f) be the third derivative of f**4/24 + 2*f**3/3 - 8*f**2 - f. Suppose 0 = -4*i + 7 + 5. Let q be (-5 - (-5)/(-2))*4/i. Calculate k(q).
-6
Suppose 10*k + 65 = -145. Let t(q) = q**2 + 21*q - 2. Calculate t(k).
-2
Let c(r) = 2*r - 4. Let z be 0 + -4 + (-132)/(-2). Suppose -z*m + 67*m + 245 = 0. Let d = m + 56. Give c(d).
10
Let h(g) = 5 - 4*g**2 - g**3 + 0*g + 2*g + 0*g. Let j = -60796 + 60792. Determine h(j).
-3
Let g(t) = t**2 + 7*t + 1. Let w be g(-7). Let r(i) = -2*i**3 - 10*i**2 + 2. Let o be r(-5). Let l(z) = 10*z**o + 1 - w - 13*z**2 + 2*z - 2. What is l(2)?
-10
Let p(m) = 11*m - 14. Let u(g) = 42*g - 52. Let a(v) = -23*p(v) + 6*u(v). Calculate a(7).
3
Suppose 0 = -2*d + 501 - 487. Let p(w) = w**2 - 8*w + 19. Determine p(d).
12
Let v(n) = 4*n - 4. Let x(y) = -y - 1. Let o(b) = -v(b) - 5*x(b). Suppose 18*z = -0*z. What is o(z)?
9
Let f be 6*(-2)/(-7) - (-6)/21. Let r(u) = 5*u + f + 0*u - 12 + u**2 + 4*u. Give r(-10).
0
Let c be ((-1)/(-2))/(6/(-96)). Let w(a) = 155*a - 72. Let d(f) = -68*f + 31. Let m(o) = 16*d(o) + 7*w(o). Give m(c).
16
Let w(o) = o + 273*o**2 - o - 286*o**2 - 28*o**2 - 5 + 4*o. Calculate w(1).
-42
Let v(o) = 8*o**2 - 2*o + 1. Suppose 268 - 80 = 4*q. Suppose 4*m = -7 + q. Suppose 4*u + 2*z - 10 = 0, -m = 2*u - 2*z - 2*z. What is v(u)?
7
Let j(v) be the third derivative of v**4/12 + v**3/6 + 17*v**2 + v. Let m(b) = 12*b + 12. Let z(n) = 5*j(n) - m(n). Calculate z(-5).
3
Let r(x) be the first derivative of -x**3/3 + 69*x**2/2 + 65*x - 8519. Calculate r(70).
-5
Let n(i) = -i. Let z(k) = 1. Let o(p) = n(p) - 6*z(p). Suppose 3*a + 4*c + 200 = 0, a - 9*c + 6*c = -84. Let h = -67 - a. Calculate o(h).
-11
Let t(r) = 2*r**2 + 14*r + 26. Let d be t(-4). Let l(k) = 21*k + 6. What is l(d)?
48
Suppose 5*c + 74 = 3*z, -5*z + 145 = 2*c - 30. Let k be (-22)/z + (-22)/(-6). Let i(a) = 5 + 5*a**k + 24*a - 4*a**3 - 8*a**2 - 18*a. Give i(7).
-2
Suppose -8*v = -10*v + 68. Let f = -30 + v. Suppose -5*b = 3*y - 10, -b = f*b - 5*y - 10. Let d(l) = -l + 1. Give d(b).
-1
Let i(u) = -u - 8. Suppose 2714 = 24*m - 718. Let w = m - 143. Give i(w).
-8
Let u(x) = -387 - 8*x - 209 + 487. What is u(-16)?
19
Let i(z) = z**3 - 8*z**2 - 12*z + 19. Suppose 11*d - 1842 | {
"pile_set_name": "DM Mathematics"
} |