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1*p = -12*p - 1198, -3*o = 5*p + 1190. Let a be 1/(-8) - 8050/o. Solve -4*x - 15 = 5*r + 1, a = -5*x - 5*r for x.
-4
Let w = 21375 + -21374. Solve -3*i - 2*b = 2*i + 14, -i - b = w for i.
-4
Let g be (-6)/4*140/(-15)*2. Let y = -26 + g. Solve -3*v - 2*p = -10, 6 = y*v + 3*p - 2*p for v.
2
Suppose 4*d = 3*d - 2*n + 8, 0 = -5*d + 3*n + 14. Suppose 7 - 3 = 4*x + d*j, -5*j - 7 = 2*x. Solve -2*a + b - 1 = 0, -x*b + 13 = 4*a - b for a.
1
Suppose 2*w + 18 = 4*o + 70, 49 = 2*w - o. Solve 22*k - w*k + 3*c + 16 = 0, 4*c + 26 = 5*k for k.
2
Let c be -1 + 1/5 + (-16)/(-20). Suppose -6*f + 2*o = -3*f - 16, c = -3*f + 5*o + 31. Solve 0 = -3*r + 3, -3*r - 3 = f*q - 0 for q.
-3
Let x(d) = 16*d + 324. Let t be x(-20). Solve -15 = 5*w + t*o - 3*o, -w = -4*o + 24 for w.
-4
Let l be (6/12)/((-3)/(-84)) - 0. Suppose 4*u + 42 = 2*v, -5*v + l*u = 12*u - 105. Solve -2*g - g = 3*w + v, 5*g + 25 = 0 for w.
-2
Suppose -42*n - 141 + 267 = 0. Solve 2*v - 17 = 5*h, -2*v - n - 15 = 2*h for h.
-5
Suppose 382 = 203*n - 633. Solve -n*z - 2*s = -2*z + 14, -7 = 3*z - 5*s for z.
-4
Suppose 20*m - 3*m + 2873 = 0. Let j = 169 + m. Solve -k - 4 = 2*x, 2*k = 2*x - j + 16 for x.
-4
Let p be 6/(-8)*2*(990/27)/(-11). Solve p = 5*m + 5*t - 30, 3*m + 6*t = 30 for m.
4
Let f(r) = 2*r**2 + 88*r + 393. Let q be f(-39). Solve -3*j = -q, -2*n + 3*j + 3 = -2 for n.
4
Suppose -3*d - 7*i - 1 = -3*i, 4*d + 4*i = 4. Suppose 5*t = -15, -41 = -d*n + 3*n - 3*t. Solve n = 5*m - 2*u, u + 20 = 8*m - 3*m for m.
3
Suppose -5*y - 795 + 40 = 0. Let a = y + 157. Solve -2*s - 2*c = -a, -2*s + 6 = -4*c + 3*c for s.
3
Suppose 0 = -2*i + 15*i + 1001. Let r = 79 + i. Solve 1 = -z - 2, 4*h = r*z + 14 for h.
2
Suppose -20*f = -17*f - 30. Suppose 0 = -2*r - 2*h - 16, -2*r + 4*h - 47 = -7. Let i be f*((-9)/r)/3*2. Solve 3*y - 2*v - 5 = 0, i = y + y - 3*v for y.
1
Let m = 9047 + -9041. Solve m*i = 3*h + 5*i - 19, 3*h - 35 = 5*i for h.
5
Suppose -3*z + 5*z = 5*z. Let d be 0 - (-14 + (-5 - z)). Suppose 22*g - 9 = d*g. Solve -4*f + 0*f = -2*m + 4, 0 = -g*m - 5*f - 27 for m.
-4
Let g(s) = -s**3 - 7*s**2 + 10*s + 18. Let o be g(-8). Suppose -4*j + 30 = -0*j - 2*h, -5*h - 15 = o*j. Solve 12 = 5*n + 2, -2*u - j*n = -8 for u.
-1
Let h = 512 + -485. Suppose 0*z = 5*z - 105. Suppose -8*v + z = -h. Solve -4*g + v = 22, -4*o + 5*g = -32 for o.
3
Suppose 3*s - 8*s = 10*v - 60, 2*v + 5*s = 44. Solve 0 = -2*n - v*u + 16, n = -5*u + 373 - 349 for n.
4
Let c = 190 - 190. Let l = -23 + 26. Let j = l + 0. Solve c = 2*r + 2*s + j*s, -2*r + 2 = 4*s for r.
5
Let b(g) = 11*g + 641. Let y be b(-58). Suppose -4*w - 13 = 4*c + w, -2*w - 13 = -c. Suppose 0 = 4*p + p - 15. Solve -d - c*d + p = -a, y*a + 4*d = -9 for a.
-3
Let q be ((-8)/(-6))/(2/6). Let r be -8*(-3)/42 - (-60)/42*1. Solve n - 5*d + 3 = -9, -r*n - q*d + 18 = 0 for n.
3
Let w = 267 + -249. Suppose 3*b + 4*f = 5*f + 5, -2*b = 3*f - w. Solve 3*v = -b*t, 2*v - 8 = 5*t + 5*v for t.
-4
Suppose -368*y + 2172 = 84*y - 88. Solve r + 14 = 5*f, -5*r - 24 = y*f - 74 for f.
4
Let g be (2 - -1)/((-156)/(-208)). Suppose -d + 4*q = 2*d - 52, 2*d + 5*q = g. Solve -5*y - 3*o - d = -0, -2*y + 20 = -5*o for y.
0
Let g be ((-28)/(-63)*(-63)/42)/(4/(-30)). Solve r + 53*j - 56*j = -11, g*j = 2*r + 17 for r.
4
Let w be ((-14)/(-42))/(2/66). Suppose -w*r + 18 = -2*r. Solve 0 = r*f - 2*u + 4*u, -5*f = u - 20 for f.
5
Suppose 440 = -3*p + 446. Suppose 2*x - 2*u = -u + 12, 0 = -p*x - 3*u - 4. Solve -5*d = -h + 12, 2*d = -d + x*h + 3 for d.
-3
Let z(k) = -11*k - 84. Let p be z(-9). Solve -p*d = 5*u - 10*d + 10, 0 = -2*u - 3*d - 6 for u.
0
Let x be ((-4)/8 - -1)*10. Suppose -v + 21 = -j, -21 = -x*j - 6. Suppose -b + v = 5*b. Solve n + m - 4 + 0 = 0, 3*n + 9 = b*m for n.
1
Let l = -2 - 1. Let k(d) = -d**2 - 6*d - 4. Let z be k(l). Suppose -10*w = -31*w + 588. Solve -2*a - 27 = z*c, -4*a + 9 - w = 3*c for c.
-5
Let r(u) = 2*u**2 - 25*u + 18. Let x be r(12). Solve -k - x = n - 3, -5 = 3*k + n for k.
-1
Let g(q) = 3*q - 16. Let f be g(8). Suppose f*x - 24 = 2*x. Suppose -4*b = -3*a + 14 - 46, -b - x*a - 11 = 0. Solve 2 = 3*c + y + 4, y + 2 = -b*c for c.
0
Suppose 47*v = -26 + 100 + 67. Solve -v*j = -4*b + 1, -3*b = -3*j + 1 + 2 for b.
4
Let u(f) = f**3 + 33*f**2 + 272*f + 35. Let r be u(-15). Solve k - 3*w = -r, k - w = -4 + 1 for k.
-2
Let b = -443 - -445. Solve -2*f = b*l + 19 - 27, 18 = 3*f + 5*l for f.
1
Let o = -19107 + 19126. Solve -4*v = -5*j - 33, 5*j - o = 3*v + 10*j for v.
2
Suppose 7*m = 5*m + 10. Let s = -40 + 45. Let f(i) = -2*i**2 + 10*i + 5. Let y be f(s). Solve 4*c + 5*w - 16 = 19, 0 = y*c - m*w - 10 for c.
5
Let f = 280 - 277. Let n(b) = -2*b**2 + 4*b + 8. Let y be n(f). Solve 0 = 4*j - 4*p + 28, -24 = 3*j - 2*p - y*p for j.
-4
Suppose 25 = 4*r + 5*s, 22 = 2*r - 2*s + 14. Suppose 0*j - 3*j + r*u = -43, -u = -1. Solve 0 = -5*y + 4*h + j, -5*y - 4*h = -20 - 4 for y.
4
Let w be 2/11 + (-4494)/33. Let b = w - -138. Solve v + 7 = 5*f, -5*v - 14 + 2 = -b*f for v.
-2
Let j(k) = -3*k - 25. Let t be j(-10). Let z(x) = x**2 + 9*x + 4. Let r be z(-10). Suppose 0 = r*d - 4*d - 50. Solve -3*c + t = d*a + 21, -a = -2*c - 2 for c.
-2
Let b = -7653 - -7656. Solve b*g = -5*n - 17, 5*g + 5*n = -78 + 63 for g.
1
Let v(n) = 2*n**3 - 20*n**2 + 2*n - 20. Let s be v(10). Suppose s*y = -y - y. Solve -3*m - m - 4 = y, -5*a + 4*m = -19 for a.
3
Let a(s) = -7*s**3 + 4*s**2 + 8*s + 2. Let i be a(-1). Solve -r + 19 = -5*g, i*g = 8*g + 3*r + 15 for g.
-4
Let i(c) = c**2 - 2*c - 4. Let v = 5 - 7. Let t be i(v). Suppose 1 = w, t*m + 0*w = 5*w + 11. Solve -3*s - 6 = x + 2*x, -2*x - m*s - 12 = 0 for x.
2
Suppose 0 = 8*y - 3*y - 60. Let m be (y + -24)*(-1 + (-6)/(-9)). Solve -3*d + 13 = 5*u + m, 15 = 5*u for d.
-2
Let z = 1133 + -1129. Solve z*v - 22 = 5*t - 5, 0 = 3*t + 15 for v.
-2
Let c(n) be the second derivative of -n**3/3 - 23*n**2/2 + n - 31. Let f be c(-13). Solve 0 = -3*a - p - f, -2*p = 2*p for a.
-1
Suppose 30*s + 374 - 482 = 12*s. Solve -4*g = -3*q - 11 + s, 4*q = 4*g - 4 for q.
1
Let h be 6*((-30)/(-12) - 2). Let g = 9 - h. Solve 2*u - 4*s = -22, 0 = 2*u - 3*s + g*s - 13 for u.
-1
Let u(a) = -a**2 + 139*a + 4678. Let w be u(-28). Solve 2*h = 3*h - 4, w*x + 24 = 5*h for x.
-2
Let c be 1/2*16/(-20)*-5. Suppose -26 = g + 4*t, c*t + 3*t = 20. Let o = -39 - g. Solve -4*s = -3*s + x + 4, 0 = 5*s - o*x - 4 for s.
-1
Suppose 310*p - 273*p = 6956. Solve 3*f - 2*d - 189 = -p, d - 2 = 4*f for f.
-1
Let s be (-10)/(-15) + (4 - 4) - (-32)/24. Solve 5 = j + b, s*b + 65 = 75 for j.
0
Let k = -217 + 221. Suppose 0 = -k*z + 4*f + 12, -z = 3*z + 3*f - 19. Solve -z*r + 17 = i, -2*i - 2*r + 11 = -i for i.
5
Let n be (-531)/(-21) + (204/(-28) - -7). Solve 4*a - 20 = -4*d, -a = 2*d - 7*d + n for a.
0
Suppose -572*v + 857 = -859. Let q(i) = 5*i. Let x = 4 + -2. Let s be q(x). Solve 0 = -5*y - v*j - 29, -y - s = -j + 3*j for y.
-4
Let h be (-4)/(-16)*(66 - 22). Solve 9*a + 20 = 13*a, j - h = -2*a for j.
1
Let u be 492/44 + -1 - (-10)/(-55). Solve -2*l - 29*y + 25*y = u, -3*y = 5*l - 10 for l.
5
Let c be (-119)/21 + 6 - (-174)/(-9). Let z(d) = d**3 + 23*d**2 + 76*d + 3. Let s be z(c). Solve m - 4*g + 1 = 0, -3*m - s = -0*m + g for m.
-1
Let x be (-5 + 12/4)*(5 + -7). Let m be ((-16)/3)/(2/6). Let g(v) = v**3 + 16*v**2 + 18. Let i be g(m). Solve -h + x*f = -3*h, -i = -2*h + 5*f for h.
4
Let p(m) = -m**2 - 8*m - 9. Let l be p(-6). Suppose 55*o = 50*o - 5*u + 40, 3*o + 18 = 3*u. Solve r - l*x = -3, 0 = -3*r - 0*x + 4*x + o for r.
3
Let t = -10762 - -10765. Solve -5*g + 2*m = -2, 7*g + t*m = 8*g + 10 for g.
2
Let p be (-8)/(-12)*(1 + 8). Solve g - 2 + 11 = -4*x, x = g - p for g.
3
Let b = -67 + 72. Suppose b*z - 6 = 4. Let a be (-65)/(-20) + z/(-8). Solve -d = -s - 3*d + 3, -a*d + 22 = -2*s for s.
-5
Let x(h) be the second derivative of h**5/20 - 7*h**4/6 + 17*h**3/6 - 51*h**2/2 + 3*h + 3. Let y be x(13). Solve -z + 5*v - 10 = 0, 0 = 4*v - 13 + y for z.
5
Let o be 11*-3*(-4 + 238/21). Let v be (-440)/o + (-2)/(-11). Solve -3*m - v*g - 2 = -g, -m - 5*g = 10 for m.
0
Let h(f) = -4*f**2 + 409*f - 497. Let u be h(101). Solve u = -4*j - 194*z + 198*z, -2*j + 5*z = -5 for j.
-5
Let c(g) = -g. Let s be c(2). Let a = 14 - s. Let t be -1 + 2 - (-82 - -83). Solve -2*m + a = -3*b + 2*m, t = 5*m - 20 for b.
0
Let i(f) = -f**3 - 167*f**2 + 7*f + 1175. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ifth biggest value? (a) -5 (b) -321 (c) -2 (d) 254 (e) 3
b
What is the third biggest value in -0.2, 0.4, 1/4, -15, 2/799, 2.7?
1/4
What is the smallest value in 1/11, 0, 641666, -4/7?
-4/7
Which is the third smallest value? (a) -1.95 (b) 5/2 (c) -2 (d) -191/13
a
Which is the second biggest value? (a) 64 (b) -1/5 (c) -4 (d) -0.43 (e) -7 (f) 83 (g) 0.2
a
What is the third biggest value in 588, -7, -17?
-17
What is the second smallest value in -1/2, 3, 3497875.5?
3
Which is the biggest value? (a) 0.004 (b) 3 (c) -1/55 (d) -0.1 (e) 1.6 (f) 0
b
What is the third biggest value in -3, -0.4, 10, 2/19, 20/23979?
20/23979
Which is the fourth biggest value? (a) -10967 (b) 36/5 (c) -0.04 (d) 3
a
Which is the second smallest value? (a) -19090 (b) 106 (c) -0.04
c
Which is the biggest value? (a) -2/7 (b) -1/7 (c) 1.324 (d) -3/5 (e) 479 (f) 2
e
What is the second biggest value in 1/2, 0.3, 57/14, 0.1903, -1/11?
1/2
What is the fourth biggest value in 10, 9/4, 35/12, -3, -0.23?
-0.23
Which is the third biggest value? (a) -0.01 (b) 0.1 (c) -7.7081
c
What is the third biggest value in -31, -2, 0.2531, 4, -5?
-2
What is the second smallest value in 0.24, 1081, 4, -1/33, -6?
-1/33
Which is the biggest value? (a) -239 (b) 8/7 (c) -1/68 (d) -4 (e) -5
b
Which is the fifth biggest value? (a) 0.5 (b) 3/10 (c) -0.1 (d) 43 (e) -945
e
What is the second smallest value in 0.04, 55/1729, -1, 0?
0
Which is the second smallest value? (a) -0.33 (b) -2/13 (c) -4.9 (d) -1
d
Which is the biggest value? (a) 15/11 (b) -0.1 (c) 22382
c
What is the third smallest value in 0.05, 0.15, -5, 1/5, 64733, 0.4?
0.15
What is the fifth smallest value in -1, 10, -41, -0.04, 2/19, 0.025, 2?
2/19
Which is the third biggest value? (a) 21 (b) -2/5 (c) -5152 (d) -0.1
b
Which is the smallest value? (a) 2/3 (b) -0.05 (c) 0.2 (d) 5/2 (e) 1814 (f) -2
f
What is the smallest value in 4171, -4/3, -0.5, -0.3, 5, 0.1, 3?
-4/3
What is the biggest value in -5398, -6, 1/5, -2/79, 0.4, 4, 5?
5
Which is the fourth smallest value? (a) 0.5 (b) -0.15 (c) 14419 (d) 4/5
c
Which is the third smallest value? (a) 1 (b) 0.2 (c) -0.5 (d) -89 (e) 1054
b
What is the seventh biggest value in 2/21, 3/8, 0.5, 4, -0.19, 22, 2?
-0.19
What is the third smallest value in -0.3, -3, -2/9, -238/141, 2, -1?
-1
Which is the second biggest value? (a) 5 (b) 8545720 (c) 1
a
Which is the fourth biggest value? (a) 3 (b) -2 (c) 4/1043 (d) -66/19
d
Which is the sixth smallest value? (a) -1/4 (b) 0 (c) 1 (d) -73/4 (e) -54/19 (f) 2 (g) 5
f
Which is the fourth biggest value? (a) -0.1 (b) 5682 (c) 1/4 (d) -1
d
Which is the fourth biggest value? (a) -4/7 (b) -2/13 (c) 2890846 (d) -0.4
a
Which is the third smallest value? (a) 2/7 (b) -69.31 (c) 1 (d) 6 (e) -1 (f) -29 (g) 5
e
Which is the fifth smallest value? (a) 2/21 (b) 5 (c) -2 (d) -0.235 (e) -2090.2
b
Which is the fourth biggest value? (a) 1 (b) -183/7 (c) 0.062 (d) 3/2 (e) -2
e
Which is the seventh biggest value? (a) 1/2 (b) 4 (c) -1/9 (d) -2/17 (e) -0.00082 (f) -5 (g) 2/31
f
Which is the fourth smallest value? (a) 2 (b) -595/8 (c) 5 (d) 2687
d
What is the fourth smallest value in 8/11, -0.4, 0.3, 0.2, 5, -171?
0.3
Which is the second smallest value? (a) -1 (b) -0.4 (c) -422 (d) 3 (e) 7 (f) -1/28 (g) -17
g
What is the second smallest value in -1/3, 224, 6, -0.052, 4, 2/3, 2/13?
-0.052
What is the smallest value in -13/740, -3/2, 1/6, 15?
-3/2
Which is the biggest value? (a) 147 (b) 106 (c) 0.73
a
Which is the third biggest value? (a) -28060 (b) -1 (c) -10 (d) 2/13
c
What is the third smallest value in -4/7, 2, 11, -11380?
2
What is the seventh smallest value in 2/3, -1, 0, -1/5, 91/15, -2, 4525?
4525
What is the biggest value in 2/3, 1/2540, 44, 4, 0.3, 5, -0.38?
44
Which is the fifth biggest value? (a) -8.8 (b) 1/3 (c) -4/33 (d) -2.1 (e) 4 (f) 1 (g) -0.5
g
Which is the fifth biggest value? (a) -18 (b) -1/2 (c) 84955 (d) -0.07 (e) 0.5
a
Which is the fourth smallest value? (a) -2 (b) -0.03 (c) 16 (d) 2.2 (e) -3 (f) 1.7
f
What is the biggest value in 2/9, 3, -3, 2.018969, 4?
4
Which is the biggest value? (a) -0.46125 (b) -1/10 (c) 0.21
c
Which is the fourth smallest value? (a) 3/4 (b) 0.8642 (c) 19 (d) -0.1
c
Which is the smallest value? (a) -0.3 (b) 2 (c) -1.726038
c
Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 60.7 (d) 11.4
b
What is the second biggest value in 0.01, -1/2, 3/5, -8, 1, -4, -3/2?
3/5
What is the third biggest value in -3/4, -1389, 0.2, 4, -35?
-3/4
What is the fourth biggest value in 1/15, -1/21, -1/3, -4/11, 3, -6, 5?
-1/21
What is the third smallest value in 14, 626, -4, -0.1, 1/4, 3?
1/4
What is the fourth biggest value in -5, -253, -20/7, -1, 1.1?
-5
What is the fourth smallest value in 1/4, -4253, 0.1, 5?
5
What is the third smallest value in -0.7, 2858759, -2?
2858759
Which is the second biggest value? (a) -0.3 (b) -0.4 (c) 0 (d) 2668/3 (e) -1/6 (f) -0.08
c
Which is the third biggest value? (a) -0.876 (b) 2/3 (c) 110 (d) -4/5
d
What is the second smallest value in -0.4, -5309063, -4?
-4
Which is the biggest value? (a) -0.5 (b) 1/5 (c) -1 (d) 78 (e) -17475
d
Which is the smallest value? (a) -86718 (b) -13 (c) -1 (d) 0.4 (e) -4
a
What is the fifth smallest value in -0.3, 0.03, 2/3, 0, 20, 2737/8?
20
What is the third biggest value in -1/2, -0.3, -1/41, 0.2, 30, 2, 0.5?
0.5
What is the fifth biggest value in 0.001, -11285, 0.5, -2/5, 0.1?
-11285
Which is the third smallest value? (a) 0.5 (b) 10 (c) -37 (d) 15 (e) -2/75
a
Which is the fourth smallest value? (a) 2 (b) 0.2 (c) -1/5 (d) 0.1742 (e) 1
e
Which is the fifth biggest value? (a) -0.02 (b) 1/21 (c) 2 (d) -5 (e) 3007
d
Which is the second biggest value? (a) -2 (b) 3/8 (c) 0.11 (d) -1/48 (e) -1.2 (f) -454
c
What is the smallest value in 0, 68049/16, 8?
0
Which is the third smallest value? (a) -1/6 (b) 1/25 (c) -3/13 (d) 0.06 (e) 73 (f) -1/3
a
Which is the fourth smallest value? (a) 10179 (b) -5 (c) -3/2 (d) -1/6 (e) -1 (f) 3
d
Which is the smallest value? (a) -0.1 (b) 0.1 (c) 5542 (d) -2/11 (e) -77 (f) 5
e
Which is the smallest value? (a) 3 (b) -1917 (c) -606
b
Which is the second smallest value? (a) 0.3 (b) 11/4 (c) 6232 (d) -0.26
a
What is the fifth biggest value in 4/5, -4770, -62, 0.4, 2?
-4770
Which is the second smallest value? (a) -2 (b) -2.31486 (c) -5.9
b
What is the fifth smallest value in 4, -46, -4, 1, -6/7, -4/7, -5/4?
-4/7
What is the third biggest value in 0.5, 0.8, -1, -34, -514, -31?
-1
Which is the smallest value? (a) 13/2 (b) 0.1 (c) -0.15 (d) 172 (e) 1/5
c
What is the second smallest value in -3, -42/29, 13705?
-42/29
What is the third biggest value in -46, -4/7, 3, -15856, 2/13, 0.1?
0.1
What is the second smallest value in -0.1, -1/3, 1/9, 0.2, -1.6, -2.02?
-1.6
What is the fourth smallest value in 2, 3990/11, -0.0886, -0.4, 2/19?
2
Which is the second biggest value? (a) 2 (b) 0.04 (c) 4/5 (d) -4 (e) 276 (f) 4.92
f
Which is the sixth biggest value? (a) 2/21 (b) -1/22 (c) 245 (d) 2/13 (e) 5 (f) 4
b
What is the third biggest value in 906, -5, 73206?
-5
Which is the biggest value? (a) 11 (b) 0.02 (c) -0.4 (d) 2372 (e) 180
d
Which is the fourth smallest value? (a) 1/3 (b) 14111 (c) 0.06 (d) 2
b
What is the biggest value in 1, 1/5, 0.04, -29, -3/2, -0.21, 4/9?
1
Which is the fourth smallest value? (a) -43 (b) -5 (c) -16 (d) 57 (e) -6
b
Which is the fifth biggest value? (a) 7 (b) -0.03 (c) -0.5 (d) -34 (e) 42
d
What is the second biggest value in 7, 2/3777, 0.9, 14, 18?
14
Which is the second smallest value? (a) 2 (b) -1/373 (c) -1.5 (d) -8
c
What is the biggest value in -2, -576, 4, -2/15, 0.1, -3, -5?
4
What is the second smallest value in 304, 2, 2/11, 8, 11, 1/2?
1/2
Which is the fourth biggest value? (a) 79 (b) 1/11 (c) -12/11 (d) 6.4
c
Which is the fourth smallest value? (a) -34 (b) 0.1 (c) -8/35 (d) 0.5
d
What is the fifth smallest value in 0.001, 2/17, -2046/7, -3, -2/11?
2/17
What is the fourth biggest value in 47876, -2, 0.4, -18, -4/5, 5?
-4/5
Which is the smallest value? (a) 1 (b) -1/6 (c) -2/5
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(6) + 1 + sqrt(325) + -5)**2.
-280*sqrt(13) + 15936
Simplify sqrt(539)*2*-5 + sqrt(77)/(sqrt(42)/(-4*sqrt(6))).
-74*sqrt(11)
Simplify -4*(-1*sqrt(567))**2*-6*-5.
-68040
Simplify (sqrt(320) - (4*(1 + sqrt(320)))**2) + (1 + sqrt(320))*-2 - ((sqrt(320) - (sqrt(320) + 0)**2) + 5 - (sqrt(320) + 1)**2*2).
-4181 - 240*sqrt(5)
Simplify (sqrt(931) + 5 + sqrt(931) + -4)**2*-5*3.
-55875 - 420*sqrt(19)
Simplify 5 + (2 + 2 + sqrt(468))**2 + 5.
48*sqrt(13) + 494
Simplify (sqrt(4320) - (sqrt(4320)*-2 + sqrt(4320)))/(-2*sqrt(40)) - (sqrt(30) + -5*sqrt(120)/sqrt(4))/((sqrt(10) - sqrt(10)*-2)*4).
-17*sqrt(3)/3
Simplify ((sqrt(693)/(4*sqrt(55)/sqrt(5)))/((sqrt(144) - (sqrt(144) - (sqrt(144)*1 + sqrt(144) + sqrt(144))) - sqrt(144))*-5))**2.
7/25600
Simplify (3*(3 + -1*sqrt(19))**2 - (-1 + 0 + sqrt(2299))**2)*1.
-2216 + 4*sqrt(19)
Simplify ((sqrt(76) - ((sqrt(76)*1 - sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76))*6) + sqrt(76))/((sqrt(264)/sqrt(6))/sqrt(11)).
-4*sqrt(19)
Simplify (6*1*sqrt(88) + sqrt(88))/(2*(sqrt(8) - sqrt(72))).
-7*sqrt(11)/4
Simplify ((sqrt(128) + 2*sqrt(128)*-4)*6)**2 - -6*(3 + (sqrt(128) + 2*sqrt(128))**2).
232722
Simplify 1 + 6*(-6*sqrt(605)*3)**2.
1176121
Simplify ((6*(-2*sqrt(5))**2 - ((sqrt(80) + 0)**2 - sqrt(80) - sqrt(5))) + (sqrt(320) + 2)**2 + (sqrt(605)*-1)**2)*6.
222*sqrt(5) + 5814
Simplify -5*(1*-1*(2*(sqrt(1053) + 0) + 5))**2.
-21185 - 900*sqrt(13)
Simplify (sqrt(405) + 0)**2*5 - sqrt(15)/(sqrt(147) - ((sqrt(147)*2 - sqrt(147)) + sqrt(147)) - sqrt(147) - sqrt(147)).
sqrt(5)/21 + 2025
Simplify (sqrt(13) + -2*(sqrt(13) - sqrt(13)*1) + sqrt(117) + 1 + sqrt(117) + 1 - (1 + -1 + sqrt(1053) + 1))**2.
-4*sqrt(13) + 53
Simplify (2*sqrt(75)*6)**2 - (sqrt(363)*1 + sqrt(48)*3).
-23*sqrt(3) + 10800
Simplify (((sqrt(171) - 5*1*sqrt(171))*-3)/(sqrt(108)/(sqrt(48)/sqrt(4)) + sqrt(900) + sqrt(900)*1)*-1)**2.
304/49
Simplify 1 + 4 + ((sqrt(20) + -4 + sqrt(80) + 0)**2 - ((sqrt(720) + 1)*4)**2).
-11335 - 432*sqrt(5)
Simplify 2*sqrt(4)/sqrt(2)*1 + (2*-1*sqrt(10)/sqrt(5))**2.
2*sqrt(2) + 8
Simplify 4*5*(sqrt(3) + sqrt(3) + sqrt(147) + -2 + sqrt(3)) + 5.
-35 + 200*sqrt(3)
Simplify (-6*(-1*sqrt(91) - sqrt(91)))/((-4*sqrt(28) - sqrt(28)) + sqrt(7)).
-4*sqrt(13)/3
Simplify (6*-1*(sqrt(18) + 0 + sqrt(18) - sqrt(18))*2)**2 + 2.
2594
Simplify (4 + 1 + sqrt(405) + sqrt(605) + (4 + sqrt(605))*5)**2.
3750*sqrt(5) + 28750
Simplify (1*-2*sqrt(66)*-6)/(((sqrt(192) - (-1*sqrt(192) + sqrt(192))) + sqrt(192))/sqrt(2))*-2.
-3*sqrt(11)
Simplify (sqrt(162) + (sqrt(162)*3 - sqrt(162)) + sqrt(162) + -3 - (-5 + sqrt(162)*3))**2 + -5.
36*sqrt(2) + 161
Simplify ((sqrt(40)/(sqrt(5) - sqrt(80)))/(sqrt(16)/(-3*sqrt(4))))**2.
2
Simplify -2 + ((-3*(sqrt(1200) + (sqrt(1200)*-2 - sqrt(1200))) + sqrt(1200))*4)**2*-4.
-3763202
Simplify (3 + -1*sqrt(1573) + 3*(sqrt(1573) - sqrt(1573)*2))**2 - (1*sqrt(52)*4)/(-1*sqrt(4)*-1).
-268*sqrt(13) + 25177
Simplify sqrt(175) + (sqrt(175) - (sqrt(175)*-1 + -4)) + -2 + sqrt(175)*-2 + 1 + sqrt(175)*-1 + (sqrt(175) - (sqrt(175) - (1*sqrt(175) - sqrt(175))**2))*6.
3
Simplify sqrt(405) + 0 + ((sqrt(50) - sqrt(200))/sqrt(10))**2 + 5 + sqrt(245) + 2*sqrt(245).
10 + 30*sqrt(5)
Simplify 5 + 6*((-3 + -1 + sqrt(1053) + sqrt(1053) - sqrt(1053)) + 5).
11 + 54*sqrt(13)
Simplify (4*(sqrt(13) - (sqrt(13) - sqrt(91)/sqrt(7)*-5) - 1*sqrt(26)/sqrt(2)) + 1)**2.
-48*sqrt(13) + 7489
Simplify (2 + (-4*(sqrt(77) - sqrt(77)*2) + sqrt(77) - 4*(sqrt(77)*-1 + sqrt(77)))/(sqrt(343) + sqrt(343)*-1 + sqrt(7) + (2*sqrt(77))/sqrt(11)))**2.
20*sqrt(11)/3 + 311/9
Simplify (sqrt(12)/((sqrt(12)*2)/sqrt(3)) - (sqrt(3) + sqrt(3) + sqrt(6)/sqrt(2) + sqrt(3) + -2 - sqrt(81)/sqrt(3)))**2*-6.
-57/2 + 12*sqrt(3)
Simplify (sqrt(147) + -3 - sqrt(147))**2 + -3 + (-3*sqrt(3)*-2 - (sqrt(12) + -2)).
4*sqrt(3) + 8
Simplify (-5 + sqrt(180) + -4 + 2)**2*2.
-168*sqrt(5) + 458
Simplify 1*(sqrt(35) + (-4*sqrt(3500) - sqrt(35)))/(sqrt(2880) + sqrt(5)).
-8*sqrt(7)/5
Simplify 4 + ((sqrt(693)*-3)/sqrt(11))/(sqrt(9) + (sqrt(9) - (sqrt(9) + sqrt(225) + 5*sqrt(225) - sqrt(9)))).
3*sqrt(7)/28 + 4
Simplify 3 + -2 + (sqrt(448) - sqrt(7)) + (sqrt(7) + sqrt(35)/(sqrt(5)*3))**2.
121/9 + 7*sqrt(7)
Simplify (-4 + sqrt(1800)*-2 + 5)*6.
-360*sqrt(2) + 6
Simplify ((-2 + sqrt(19))*1 + sqrt(19) - sqrt(19) - (3 + sqrt(19) + 1)) + 2*sqrt(931) + 2.
-4 + 14*sqrt(19)
Simplify (6*-1*sqrt(3) + 2 + sqrt(12))**2 - sqrt(15)/(sqrt(40)/(-3*sqrt(8) + sqrt(8))).
-14*sqrt(3) + 52
Simplify 6*((sqrt(19) - sqrt(2299)*1) + -5 - (sqrt(19) - 2*sqrt(76) - (sqrt(1539) + -2 - sqrt(1539))))**2.
588*sqrt(19) + 5880
Simplify (-5 + 5*1*-1*sqrt(2)*-1)**2*6.
-300*sqrt(2) + 450
Simplify 3*(-4 + (sqrt(17) - (3*sqrt(2057))**2 - (0 + sqrt(85)/sqrt(5)))).
-55551
Simplify 2*((5 + sqrt(11)*-5 + -5)*2)**2*6.
13200
Simplify (-2*sqrt(4860)*-5)/(-3*(sqrt(12) - sqrt(12)*-1)*4).
-15*sqrt(5)/4
Simplify -4 + (1*sqrt(162) - sqrt(162))*1 + ((0 + 2*sqrt(162) + sqrt(162))**2 - (sqrt(162) - (4 + -1*sqrt(162))**2 - sqrt(162))).
-72*sqrt(2) + 1632
Simplify (sqrt(220)/sqrt(16) - (sqrt(55) - sqrt(165)/(sqrt(12)/sqrt(4))))/(-1*sqrt(180)*-6).
sqrt(11)/72
Simplify (sqrt(847)*2 + -4 + -3)**2 + -6*(sqrt(847) + sqrt(847) + 1)**2*-5.
1012*sqrt(7) + 105107
Simplify (sqrt(6)/(sqrt(3)*1*2) - 3*sqrt(8)/sqrt(4)*4)**2.
529/2
Simplify 1*((2*sqrt(2178) - sqrt(18))/((2*sqrt(9) + sqrt(9))*-2))**2.
49/2
Simplify (-1*sqrt(70)*-4)/(sqrt(540)/sqrt(6)).
4*sqrt(7)/3
Simplify (2 + (sqrt(52) + 3 - (2 + sqrt(1872))) + -4)**2 + -1.
20*sqrt(13) + 1300
Simplify 4 + ((5*(-1 + sqrt(2448)))**2 - (5 + 3*sqrt(153))).
-609*sqrt(17) + 61224
Simplify (5 + -1*sqrt(320) - (sqrt(320) + -1*2*sqrt(320)))**2.
25
Simplify -2*sqrt(33)/(-1*sqrt(3)) - (sqrt(66)/(sqrt(24)/sqrt(4)) + (sqrt(1584) - (sqrt(1584) + -1 + sqrt(1584))))**2.
-1332 + 24*sqrt(11)
Simplify (2 + sqrt(450)/(sqrt(70)/(2*sqrt(7))) + sqrt(4500) + sqrt(4500) + -1*sqrt(4500) + (sqrt(540)*-2)/sqrt(12))**2.
120*sqrt(5) + 4504
Simplify (5 + ((sqrt(108)*-3)/sqrt(9))/(sqrt(6) - -3*sqrt(294)))**2.
-15*sqrt(2)/11 + 6059/242
Simplify -1 + 1*sqrt(1573) - sqrt(117)/(-2*sqrt(9)*-3).
-1 + 65*sqrt(13)/6
Simplify ((-3*sqrt(1176) + sqrt(1176))/(sqrt(192)/sqrt(6)) + 0)*-1.
7*sqrt(3)
Simplify (((sqrt(5) + -1)*-4 - 5*sqrt(20)/sqrt(4))**2 - sqrt(55)/((2*sqrt(33))/sqrt(3) - sqrt(11))) + -2.
-73*sqrt(5) + 419
Simplify (-4 + (4 + sqrt(252) + 1 + sqrt(252))**2 - (3 + (sqrt(252) + -1)*-1)**2) + -3.
168*sqrt(7) + 758
Simplify sqrt(76)/((1*sqrt(20))/sqrt(5)) - (sqrt(38)/(-1*sqrt(2)) + 2)**2.
-23 + 5*sqrt(19)
Simplify (sqrt(425) + -3*sqrt(425) + 3)**2 + (-3 + sqrt(425)*-3)**2.
30*sqrt(17) + 5543
Simplify (sqrt(147) + -4*sqrt(147))*4 - ((sqrt(147) + (sqrt(147) - (4 + sqrt(147))))**2 + 0 + sqrt(147)).
-163 - 35*sqrt(3)
Simplify (sqrt(3264) + (sqrt(3264) - 1*sqrt(3264)) + sqrt(3264) - -1*sqrt(2499))/(sqrt(48)*3 - sqrt(15)/(sqrt(5)*-1)).
23*sqrt(17)/13
Simplify 6*(sqrt(1584) + 2 + sqrt(1584))*-6 - 4*(-5 + -1 + sqrt(1331) + sqrt(1331) + sqrt(1331))**2.
-48132 + 720*sqrt(11)
Simplify (5 + 4*(sqrt(1377)*-2 + -4))**2.
1584*sqrt(17) + 88249
Simplify (sqrt(6)/(sqrt(4)/sqrt(2))*-6*-5*-5*3)**2 + 1.
607501
Simplify (sqrt(1620)*-2)/((-5*sqrt(90))/sqrt(9)).
18*sqrt(2)/5
Simplify (sqrt(128) + (sqrt(128) - -1*sqrt(128) - sqrt(128)) + (sqrt(80)*1)/sqrt(10))/(sqrt(484) - -6*-1*sqrt(484) - sqrt(484) - sqrt(484)).
-9*sqrt(2)/77
Simplify 5 + 6*(-4 + (sqrt(17) - sqrt(34)/sqrt(2))) + -3.
-22
Simplify (-5*sqrt(480)/(2*sqrt(80)/sqrt(8)))**2.
300
Simplify (sqrt(416)*2)/(6*(sqrt(72) + sqrt(2)) - sqrt(2))*-3.
-24*sqrt(13)/41
Simplify ((1 + sqrt(98)*-4 + 5)*3*-2)**2.
-12096*sqrt(2) + 57744
Simplify (sqrt(38) + -3*(sqrt(38) + sqrt(152)) + sqrt(38) + sqrt(38) + (sqrt(38) - (sqrt(152) + sqrt(38)))*-3)/(-6*sqrt(200)*-2).
0
Simplify 5 + (sqrt(704)*2)**2 + -3*((sqrt(11)*-1)**2 + sqrt(11)) + -1.
-3*sqrt(11) + 2787
Simplify ((sqrt(34) + 2*sqrt(34) + sqrt(34) - sqrt(34))*-4)/sqrt(2) - ((sqrt(17) + -1)*4 + sqrt(816)/sqrt(3) + sqrt(17)).
-21*sqrt(17) + 4
Simplify (-4*((0 + sqrt(1377))*6 - sqrt(1377)) - (-1 + -1 + -2*sqrt(1377)))**2 + -5.
-648*sqrt(17) + 446147
Simplify ((-3 + (sqrt(1584) - (sqrt(1584) + 0 - sqrt(1584))) + -1 + 5)*1)**2.
24*sqrt(11) + 1585
Simplify (1 + (sqrt(363) + 6*(sqrt(363) + 1 - sqrt(363)) - sqrt(363)) + -3*sqrt(363)*2 + (sqrt(363) - ((sqrt(363) + 0)*-2 - sqrt(363))))**2.
-308*sqrt(3) + 1501
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
?
True
Suppose -3*i = 4*f - 4447, f = -2*f - 15. Suppose 4*m = -141 + i. Is m a composite number?
False
Let u(v) = -v + 5. Let q be u(4). Suppose -q - 9 = 2*a + 4*d, -d = -3*a - 1. Is (a - (-1 + 1))*-13 prime?
True
Let t = 17 + -12. Suppose -3*d + 17 + 5 = -5*y, 0 = t*d + 5*y - 90. Is d composite?
True
Let y be (-11600)/(-45) + 2/9. Let g = y - 165. Is g a composite number?
True
Is 180 + (-8)/(2 + 2) prime?
False
Suppose -77 + 23 = -3*g. Suppose 5*y - 2 = g. Is (14/y)/((-1)/(-10)) a prime number?
False
Let u be 14/(-6)*(3 - -36). Let i = u - -165. Suppose 2*m - i = -r, r - 39 = -4*m + 105. Is m prime?
False
Let m be (-1*(-1 - -1))/2. Suppose -5*j + 10 = -m. Suppose -132 = -2*v + u, 0*v - j*v - u + 136 = 0. Is v a prime number?
True
Is (-12)/42 + (-1782)/(-14) prime?
True
Let s = 765 - 542. Is s a composite number?
False
Let f(h) = h - 2. Let a = 6 + -3. Suppose -5*w = -a*p + 15, -p - 2*w = -5*w - 5. Is f(p) a composite number?
False
Let p(s) = 28*s - 9. Let t be (1/3)/((-2)/(-30)). Is p(t) a prime number?
True
Suppose 4*j - 56 = 2*m, 0*j - m + 44 = 4*j. Suppose d = -j + 34. Is d prime?
False
Suppose 3*z + 5*r - 19 = 0, -z - 3*r = -4*r + 7. Is (5/20)/(z/(-664)) a prime number?
True
Let x(l) = -9*l**2 - 6*l + 1. Let u(p) = 19*p**2 + 13*p - 2. Let a(q) = -6*u(q) - 13*x(q). Let i be a(1). Suppose 0 = 4*c - i*c - 20. Is c a prime number?
False
Is 32/(-48) - (-1211)/3 a composite number?
True
Let f be (-2 - -1)/(-1)*2. Let g(b) = -b + 3*b**2 - 2*b + 8*b - 3 + 0*b**f. Is g(-5) prime?
True
Let p(q) = q**3 - 5*q**2 - 5*q - 3. Let f be p(6). Suppose -3 = -f*v + 9. Is v prime?
False
Let j = 97 + -8. Is j prime?
True
Let o(s) = 3*s + 1. Let p be o(1). Suppose -3*n + p = -5. Suppose -x + 1 = 0, 18 = -3*j + n*x + 54. Is j a composite number?
False
Suppose -5*w + 4*l + 414 - 74 = 0, w - 5*l - 47 = 0. Let n = -23 + w. Is 0 + (2 - 0) + n prime?
False
Let h(j) = 43*j. Let w be h(3). Let v = 4 + w. Is v a composite number?
True
Let m be (-220)/(-6)*24/16. Suppose -m = -5*y + 15. Is y a prime number?
False
Suppose -5*q + 10 = 0, 2*m - q = -m - 104. Let l = m - -101. Is l a prime number?
True
Let l be 0*(6/4 - 1). Suppose l = -4*y + 41 + 103. Let o = y - 2. Is o a composite number?
True
Suppose 5*a = 2*p + 87, a + 4*a - 99 = -p. Is a a prime number?
True
Is (17/51)/(2/11442) prime?
True
Suppose -4*b + 37 + 15 = 0. Let x(u) = -8*u**3 - 12*u**2 + 16*u + 9. Let y(t) = 17*t**3 + 25*t**2 - 33*t - 18. Let v(r) = b*x(r) + 6*y(r). Is v(-7) prime?
True
Let l = -3 + 9. Let j be (-94)/(-18) - l/27. Suppose -v - 140 = -j*v. Is v prime?
False
Let u(z) = 8*z - 2. Let p(a) = -7*a + 1. Let f(h) = 6*p(h) + 5*u(h). Let i be f(-5). Let d(j) = -j**3 + 7*j**2 - 4*j - 2. Is d(i) prime?
False
Let b be -2 - (-2 + 0/3). Let v = 2 + b. Suppose -l + d + 31 = -d, 0 = -3*l - v*d + 109. Is l a composite number?
True
Suppose 5*x = -254 - 241. Let a = -22 - x. Is a a prime number?
False
Suppose 2*q = -4*k + 504, 6 = 2*k - 0. Suppose -7*s = -797 - q. Is s prime?
True
Let q(t) = -t**2 + 17*t - 22. Let u be q(15). Let m(g) = -g**3 + 7*g**2 + 14*g - 10. Is m(u) a prime number?
False
Is ((-4)/(-5))/(-2 - (-1132)/565) prime?
False
Let t(c) = -c**3 - 11*c**2 - 8*c + 14. Let v be 2*-4 + 2*-1. Let g be t(v). Is -3*(116/g + -3) a composite number?
False
Let z(b) = 8*b - 1. Let g be z(1). Suppose 0 = 3*i - 55 + g. Suppose 5*l - 4*q = 503 - i, -6 = 2*q. Is l a prime number?
False
Let t(y) = 4*y**3 - 4*y**2 - y - 4. Let v(d) = 3*d**3 - 4*d**2 - d - 5. Let a(p) = 5*t(p) - 4*v(p). Is a(3) a prime number?
False
Suppose -4*j + 66 = -458. Is j prime?
True
Suppose 3 = 2*c - 5*j, 0*c = c - 4*j. Suppose 0 = -b + c*b. Suppose b*x + 202 = 3*h - 4*x, 2*h + 5*x - 173 = 0. Is h prime?
False
Let r be (-2)/((-2)/(-1))*-102. Suppose -a + 4*a - r = 4*n, 3*a - 102 = 5*n. Let f = 56 - a. Is f prime?
False
Let t(z) = z**2 + 2*z + 497. Let g be t(0). Let b = 102 + g. Is b prime?
True
Suppose -5*i + 2*v = -38, 2*v - 13 - 3 = -4*i. Suppose -h + 17 = 3*w - i*h, -7 = -w + 3*h. Suppose 2*m + w*r - 50 = 0, 6*r = 5*m + 4*r - 101. Is m composite?
True
Is (46298/35)/(6/15) composite?
False
Let d(c) = -82*c**2 - 2*c - 1. Let r(n) = -n**2 - n. Let a(h) = 2*h**2 + 3*h. Let t(y) = a(y) + 3*r(y). Let k(z) = -d(z) + 2*t(z). Is k(-1) prime?
True
Let c(v) = v**3 - 7*v**2 - 2*v + 3. Let l(i) = i**2 + 4*i - 6. Let b be l(-6). Let s be c(b). Let x = 67 + s. Is x prime?
False
Let i(f) = -f**3 + 10*f**2 + 12*f - 10. Is i(9) a composite number?
False
Suppose m - 12 = 5*q - 108, -3*m + 92 = 4*q. Suppose -3*s = 0, -2*o - 3*s - q = -130. Is o composite?
True
Suppose 0 = -2*q + 57 + 57. Is q prime?
False
Let u be 2 + 2 + (-1 - 2). Suppose -2*v + 3*d - 6 = 0, 4*d + u = 17. Suppose l = -v*l + 56. Is l a composite number?
True
Let v(p) = p**3 + 8*p**2 + p + 1. Let l be v(-7). Suppose -l = -2*y + y. Is y prime?
True
Let v(c) = 10*c**2 + c + 2. Is v(7) prime?
True
Let h be 328/3 - (-3)/(-9). Let v(u) = -u**3 - 7*u**2 + 7*u - 7. Let c be v(-7). Let z = c + h. Is z composite?
False
Suppose -3*i - 6 = 0, -3*i = -4*f - f + 36. Suppose -f*t + 5*t + 127 = 0. Is t a prime number?
True
Let b = -18 - -15. Let m = 36 - 138. Is b + (-4 - -2 - m) a prime number?
True
Let j(x) = 141*x + 5. Is j(6) a composite number?
True
Let n = 296 + -78. Is n a prime number?
False
Is (-3)/6*4 - -113 composite?
True
Suppose 34 = 5*v + 14. Suppose v*g = 54 + 38. Is g a prime number?
True
Let k be ((-16)/24)/(1/(-27)). Suppose -3*b = -b - k. Is b a composite number?
True
Let r = -20 - -25. Suppose -z + 150 = 2*z - n, 236 = r*z + 3*n. Is z a prime number?
False
Suppose 5*d + 0*k + 2*k + 18 = 0, 0 = -4*k - 16. Let r = 39 + d. Suppose -g + r = -0*g. Is g a composite number?
False
Is (-6)/(-27) + (-8428)/(-63) a composite number?
True
Suppose -5*g + 295 - 45 = -3*p, 42 = g + p. Is g prime?
True
Let g(z) = -z**2 - 3*z**2 + 6*z**2 - 3*z**2. Let k be g(0). Suppose k*r - r + 58 = 0. Is r a composite number?
True
Suppose -932 = 5*i - 9*i. Is i a composite number?
False
Is 1*(9572/4)/(-1 - -2) a prime number?
True
Suppose 0 = -36*c + 39*c - 25557. Is c a prime number?
False
Suppose 5*o = -0*o + 2225. Let q = -230 + o. Suppose -5*m = -10*m + q. Is m composite?
False
Suppose 3*t + o - 10 = 0, -2*o - 2 = -5*t - 0*o. Suppose t*f = -f + 18. Let m(u) = 11*u - 1. Is m(f) a composite number?
True
Suppose -4*w + 14939 = -3*s, 2*w + 3*w - 18691 = -2*s. Is w composite?
True
Suppose 2*l = 5*i - 2213, -3*i - 3*l = -22 - 1310. Is i a prime number?
True
Let j(m) = 1929*m**2 - m + 1. Is j(-1) composite?
False
Let x(k) = 23*k**3 - 26*k**2 + 14*k + 26. Let d(m) = -8*m**3 + 9*m**2 - 5*m - 9. Let v(u) = 11*d(u) + 4*x(u). Is v(4) prime?
False
Let x(y) = 9*y**2 + 2*y + 7. Let l = 13 + -19. Is x(l) a prime number?
False
Suppose -145 = 4*w - 2645. Let z(r) = -8*r**2 - 2*r + 10. Let q be z(-7). Let t = w + q. Is t a prime number?
True
Let y = 17 - 12. Suppose y*m + 261 = 3*t - 0*m, t - 5*m - 97 = 0. Is t a prime number?
False
Let a = -8 + 45. Is a prime?
True
Let x = 45 + -9. Let s be -6*(20/(-8))/5. Suppose 0*v + v + 5*z - x = 0, -s*v + 78 = 5*z. Is v composite?
True
Let d be (16/20)/((-2)/(-10)). Suppose 0 = d*q - 4*s - 43 - 149, 0 = -s + 3. Is q prime?
False
Suppose -1224 = -3*t + 333. Is t prime?
False
Let v = 1047 - 158. Is v prime?
False
Let g be (16/(-6))/((-4)/6). Let u be 1 + (g/(-2) - -3376). Is 4/22 + u/11 a composite number?
False
Suppose 24 = -0*m - 4*m. Is (131*1)/(m + 7) a composite number?
False
Suppose 2*x = 3*r + 216, -4*x = -6*r + r - 436. Suppose -i + x = 2*i. Is i a composite number?
True
Suppose 802 = 16*m - 15*m. Is m a prime number?
False
Let h(t) = t + 9. Let f be h(7). Suppose -a + 9 = -0*s - 3*s, -2*s + 4*a - f = 0. Is s/(-3 - (-381)/129) a prime number?
True
Suppose -3*v + 824 = -1669. Is v prime?
False
Let f(y) = 194*y**3 + 4*y**2 - 5*y + 5. Is f(2) prime?
False
Let d = 417 - 163. Is d composite?
True
Suppose -h + 15 + 6 = 3*l, -4*h + l = -19. Suppose j + h = 16. Is j prime?
False
Let s(b) = b**3 - b + 19. Is s(14) composite?
False
Let x = 20 - -46. Is 6/(-4) + x/4 prime?
False
Let k(u) = -u**2 + 6*u + 4. Let j be k(6). Suppose 3*z + j*x - 197 = 0, -66 = 2*z - 2*x - 202. Is z composite?
False
Let g(j) = -j**2 - 5*j + 7. Let a be g(-6). Let s(l) = 20*l**2 + l. Is s(a) prime?
False
Let p(d) =
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming y is positive.
y**(-470/1197)
Simplify (i**(-6))**(1/3)/((i*i**(2/9))/(i**(-1/8)/i)) assuming i is positive.
i**(-313/72)
Simplify (f*f/((f/(f/f**(-6)))/f)*f)**(-13/3)/((f/(f/(f/(f**(-5)/f))))/f**(11/3)) assuming f is positive.
f**(-140/3)
Simplify (((w*(w*w**(-3/2))/w)/w**(-4))**(-37))**20 assuming w is positive.
w**(-2590)
Simplify (f*f**(-3/4))/(f/(f*f**(-8/3)))*(f/((f/(f**3*f*f)*f)/f))**19 assuming f is positive.
f**(1111/12)
Simplify (c/c**25)**(-39)*c**(-3)*(c/(c/((c/(c*c*c**(1/2)*c*c))/c)))/c assuming c is positive.
c**(1855/2)
Simplify ((f/((f**(1/19)/f)/f)*f)/f)/((f**5*f)/f)*f**(1/5)/(f*f/f**(-2)*f) assuming f is positive.
f**(-651/95)
Simplify (((c*c**(2/23))/(c/c**0))**(-37))**49 assuming c is positive.
c**(-3626/23)
Simplify (z**(-2/7))**(-20/13)/(z**2*z**(-1/12)) assuming z is positive.
z**(-1613/1092)
Simplify c*c**(-6)*c**(2/13)*c**(1/15)*c*c**(-13) assuming c is positive.
c**(-3272/195)
Simplify (b/((b**(1/11)*b)/b)*b/(b/b**(-37)*b))**(-2/9) assuming b is positive.
b**(272/33)
Simplify (j**(-2/19)/j)**(7/2)*j**(2/75)/(j/(j**(-5)/j)) assuming j is positive.
j**(-30899/2850)
Simplify (h**1/h**(-3/19))/(h/h**12)**12 assuming h is positive.
h**(2530/19)
Simplify (g*(g*g/g**(-1/9))/g)**(-6/17)/(g/(g*g**35)*g**(2/11)/g*g) assuming g is positive.
g**(19115/561)
Simplify (k**(1/2))**(-3/16)/(((k*k**(-2)*k)/k)/k**(-5)) assuming k is positive.
k**(-131/32)
Simplify (((n/n**(2/37))/n)/((n*n**(-20))/n))**(8/13) assuming n is positive.
n**(5904/481)
Simplify (o*o**(-3))**(-18)/(o**2)**3 assuming o is positive.
o**30
Simplify (((u*u**4*u)**47)**23)**44 assuming u is positive.
u**285384
Simplify (o*o**(-12)*o/(o*o*o**(3/4)*o))/((o/o**8*o)/o**(3/4)) assuming o is positive.
o**(-7)
Simplify f**(1/9)*f/f**(2/23)*(f/(f**(-7)/f)*f)**34 assuming f is positive.
f**(70592/207)
Simplify (r**(-9)*r**22/r*r)/(r**(1/13)/r)**(-14) assuming r is positive.
r**(1/13)
Simplify (n*n**(-19)*n)/((n*n**(3/20)*n)/n)*n**(-3/13)/(n/(n/n**(-22))) assuming n is positive.
n**(941/260)
Simplify ((b*b**(1/29))/(b/b**(-2/33)))/((b**(9/2)/b)/((b*b**5)/b*b)) assuming b is positive.
b**(4735/1914)
Simplify (y**(-19)*y*y**(1/10)/y)**(-16) assuming y is positive.
y**(1512/5)
Simplify (b*b**(3/7))**(-15)/(b/((((b/(b/(b/b**(2/19))))/b)/b)/b*b))**(-45) assuming b is positive.
b**(9750/133)
Simplify ((z**(1/4)/(z*z**(-2/23)*z*z))/(z**(2/9))**(-50))**44 assuming z is positive.
z**(76945/207)
Simplify (k**3)**5*(k/(k**(-14/5)*k))/(k*k**9) assuming k is positive.
k**(39/5)
Simplify (z**31*z*z/(z**(4/9)/z)*z)/(((z**(-13/5)/z)/z*z)/z)**(1/2) assuming z is positive.
z**(3317/90)
Simplify ((x*x/(x/(x/(x**(-2/5)*x))))/x*x*x/(x/(x*(x/(x*(x/(((x/x**(-1/2))/x*x)/x))/x)*x*x)/x)*x))**(-2/5) assuming x is positive.
x**(-29/25)
Simplify (y**21/y**23)/(y*y**(2/5))**22 assuming y is positive.
y**(-164/5)
Simplify p**(-4)/(p*p*p/((p/(p**(-8)/p))/p))*p/p**(21/4)*p*p*p**25*p assuming p is positive.
p**(103/4)
Simplify (g**(-1/4)*g**(1/5))/(g/(g/(g*g*g/g**(-2))*g)*g**(-2/21)/g) assuming g is positive.
g**(-1241/420)
Simplify ((p**(-4/5)/p**0)/(p*p**(-2/5)*p*p*p/(p/p**(-1/8))*p*p))**(-28) assuming p is positive.
p**(1477/10)
Simplify (a/(a*a/(a/a**(2/19)))*a/a**(2/11)*a*(a**(-1))**(2/19))**(1/10) assuming a is positive.
a**(168/1045)
Simplify a/(a**4/a)*a*(a*a**1/a*a*a)/a*(a**(-1/3))**20 assuming a is positive.
a**(-17/3)
Simplify (s*s/(s**12/s)*s**(-2)*s)/(s**(-16)/(s*s**(1/8))) assuming s is positive.
s**(57/8)
Simplify b**(-14)*b*b*(b**(-16/7)/b)/b*b*(b**(3/2)/b)/b*b**(-2) assuming b is positive.
b**(-249/14)
Simplify ((b/(b*b**31))/b*b)/b**(-1/9)*(b*b*b*b**(-13))**(-4/15) assuming b is positive.
b**(-254/9)
Simplify o/(o*(o**(-3/14)*o)/o)*o**(2/13)*(o/((o**(-1)/o)/o*o*o))**(1/29) assuming o is positive.
o**(2307/5278)
Simplify (y**29*y**19*y)**(-9/5) assuming y is positive.
y**(-441/5)
Simplify g*(g/(g*g**(1/3)))/g*g*g*g/(g/(g/(g*g*(g*g/g**1)/g*g)*g*g))*g/((g*g**(-6)*g)/g)*g*g**1 assuming g is positive.
g**(29/3)
Simplify r**(-7/8)/(r/r**(-4))*(r**(-1/39)/r*r)/r*r**(1/42) assuming r is positive.
r**(-15019/2184)
Simplify ((l**11*l/(l**(-8)/l))**(-6))**21 assuming l is positive.
l**(-2646)
Simplify (f**(-2)*f)**(-9)/(f**(3/10)*f**(-5/6)*f) assuming f is positive.
f**(128/15)
Simplify (w/w**(4/3)*w/w**4)/(w**(2/41)*w**(2/11)) assuming w is positive.
w**(-4822/1353)
Simplify (z**(1/2)/z**(-10/9))/(((z*z**0*z*z*z)/z)/z**(1/3)) assuming z is positive.
z**(-19/18)
Simplify d**(-1/11)*d**10/d*d**(-1/2)*d**(6/11)/d assuming d is positive.
d**(175/22)
Simplify (o*(((o/(o**(6/11)/o))/o)/o)/o)**23*(o**(-2/3))**43 assuming o is positive.
o**(-1360/33)
Simplify ((x*x*x**0*x)**(6/17)/(x**0*x**(-1)))**(-1/39) assuming x is positive.
x**(-35/663)
Simplify z**(-1)*z**(-10)*z**(2/9)/(z/z**(1/12)) assuming z is positive.
z**(-421/36)
Simplify (i**5)**(1/45)*(i*i*i**(5/3))**(-33) assuming i is positive.
i**(-1088/9)
Simplify (p**(3/10))**24/(p**(-24/11))**4 assuming p is positive.
p**(876/55)
Simplify r**15/r*r/r**(-1/3)*(r**(-3))**12 assuming r is positive.
r**(-62/3)
Simplify (l**(12/5)/l)**(-37)/(((l**(-1/11)/l)/l)/l*l**(-13)) assuming l is positive.
l**(-1964/55)
Simplify (((d*d**(-1)*d*d)/d)**43/((d**(-10)*d)/(d/((d*d**(-2))/d)*d)))**(1/10) assuming d is positive.
d**(28/5)
Simplify i**(-24)*i**(-4/17)*i*i*i*i*i*i**(-25)*i**(10/3)/i assuming i is positive.
i**(-2137/51)
Simplify ((n**(-3/4)*n**(-4/5)/n)**(1/21))**(-3/23) assuming n is positive.
n**(51/3220)
Simplify (((h**(-1))**49)**(11/6))**41 assuming h is positive.
h**(-22099/6)
Simplify ((b/(b/(b*b**0*b)))**(19/4)/(b**6*((b/(b*b*b**1))/b)/b))**(2/19) assuming b is positive.
b**(15/19)
Simplify (l**(-6/5))**(-26)/(((l/((l*l**(23/4))/l))/l)/l)**37 assuming l is positive.
l**(5619/20)
Simplify (c**(-26)/(c*c**(-21)))**26 assuming c is positive.
c**(-156)
Simplify v**(-2/67)*v**(-8)*v/(v/(v*v/v**(-11)))*v*v*v/(v*v*(v/(v*v*v*v/v**(-10)))/v*v*v) assuming v is positive.
v**(1204/67)
Simplify (a/(a**15/a)*a*a/a**(1/16))/(a**(2/19)/(a/(a*(a**14*a)/a))) assuming a is positive.
a**(-7651/304)
Simplify ((g/(g/(g**(-4)/g)))/g)**(-1/45)/(g/g**(2/3))**(-17) assuming g is positive.
g**(29/5)
Simplify u**(6/7)*u/(u*u/(u/(u/(u*u**(-2/3)/u)))*u)*u*(((u**11*u)/u*u*u*u)/u)**(-8/3) assuming u is positive.
u**(-745/21)
Simplify (c**(-1/2)/(c**(-4)/c)*c**1/(c/c**(-2)))**(1/46) assuming c is positive.
c**(5/92)
Simplify ((i/i**(2/9))/i*((i*i*i**(2/41))/i*i*i)/i)/((i**(1/30)/i)/i**(-20/7)) assuming i is positive.
i**(-1651/25830)
Simplify (m*m**(-3/13)*m*m**(8/9))/(m**(-1)*m*m*m*m*m*(m**(-3/5)*m)/m*m*m*m) assuming m is positive.
m**(-2189/585)
Simplify ((l**(-8)/(l/(l**(1/9)*l)))/(l**(5/6)/(l*(((l**(1/2)*l)/l)/l)/l)))**7 assuming l is positive.
l**(-581/9)
Simplify (s*s**(2/9)*s**8)/(s**(-2))**(1/42) assuming s is positive.
s**(584/63)
Simplify (w**(-5)/w)/((w**(-8)/w)/w)*(w**(-1))**(-12) assuming w is positive.
w**16
Simplify (b/((b*b**(-1/5))/b))**12/(b/(b/((b/(b*b/b**(-2/5)))/b)))**(-3/23) assuming b is positive.
b**(324/23)
Simplify (l*l**(-3/10)/l)/(l/(l**(-3/2)/l))*l**(-3)*l**(-12) assuming l is positive.
l**(-94/5)
Simplify ((d/(d**16*d))/d**(10/9))/(d*d**(-8/5)*d*d**(-5)/d) assuming d is positive.
d**(-518/45)
Simplify (q/(q*q**(-2/13)))**35*q*q**(2/11)/q*q**2 assuming q is positive.
q**(1082/143)
Simplify (((v**(2/5)*v)/v)/(v*v**(2/7))*v**(-11)/(v*(v/v**4)/v))**(-5) assuming v is positive.
v**(311/7)
Simplify (b**(-14/9)/((b*b**(-24))/b))/(b**(-28)/b*b*(b*b**(-1/13))/b) assuming b is positive.
b**(5911/117)
Simplify (((o*o**(-5))/o)**(-9))**15 assuming o is positive.
o**675
Simplify (r**(-5)*r)**(-5/2)/(r**(-3/7)/((r**(-1/9)/r)/r*r)) assuming r is positive.
r**(587/63)
Simplify ((g**1*g)/g)**17*g*g*g/(g/g**(-1/4))*(((g/((g*(g/(g**7/g))/g*g)/g))/g)/g)/g assuming g is positive.
g**(87/4)
Simplify (a/a**7)/a**(8/3)*a/(((a**(3/4)*a)/a)/a)*a**(1/9)*a assuming a is positive.
a**(-227/36)
Simplify (n/(((n/(n**(5/4)*n))/n)/n))/n*n**(4/23)*n**(3/2)/n*n**(-7) assuming n is positive.
n**(-283/92)
Simplify ((d**(1/2)*d)/d**(-3/7)*(d**(-1))**(1/11))**6 assuming d is positive.
d**(849/77)
Simplify (w/w**(-1/3))**(2/131)/((w**(-2/27)*w)/(w*w**(1/20)/w)) assuming w is positive.
w**(-60523/70740)
Simplify (((b**(3/28)*b)/b)/b*b*b**(-7))/(((b*b*b**(-11)*b)/b)/b*b*b**(-27)) assu
|
{
"pile_set_name": "DM Mathematics"
}
|
site number?
False
Is 441667 a composite number?
False
Is 1510279 a composite number?
False
Is 3299 a composite number?
False
Is 187333 prime?
False
Is 18385 composite?
True
Is 22189 prime?
True
Is 33523 a composite number?
True
Is 4369 a composite number?
True
Is 3607 prime?
True
Is 25477 composite?
True
Is 664291 a prime number?
False
Is 157931 composite?
False
Is 331763 composite?
True
Is 31345 composite?
True
Is 30269 a composite number?
False
Is 28009 prime?
False
Is 1382 composite?
True
Is 16249 composite?
False
Is 38271 a prime number?
False
Is 7831 a composite number?
True
Is 110771 a prime number?
True
Is 254557 a composite number?
False
Is 1849391 a prime number?
True
Is 52853 prime?
False
Is 12659 prime?
True
Is 3977 a prime number?
False
Is 66043 a composite number?
True
Is 85642 prime?
False
Is 198013 prime?
True
Is 223 composite?
False
Is 12929 a prime number?
False
Is 89753 composite?
False
Is 702671 composite?
False
Is 192461 composite?
False
Is 8311 composite?
False
Is 447527 a prime number?
True
Is 11863 prime?
True
Is 8761 prime?
True
Is 275021 a prime number?
False
Is 2053 prime?
True
Is 11141 a prime number?
False
Is 7753 prime?
True
Is 46006 a composite number?
True
Is 257731 a prime number?
True
Is 87573 a composite number?
True
Is 12689 a prime number?
True
Is 1015931 a prime number?
False
Is 31351 a composite number?
True
Is 339785 composite?
True
Is 9637 prime?
False
Is 143945 a composite number?
True
Is 38993 prime?
True
Is 28789 composite?
False
Is 12086 prime?
False
Is 19289 composite?
False
Is 8191 a composite number?
False
Is 14369 a composite number?
False
Is 17783 prime?
True
Is 35729 a composite number?
False
Is 163973 a prime number?
True
Is 7058 a prime number?
False
Is 1377463 composite?
True
Is 592531 prime?
True
Is 21859 a prime number?
True
Is 16157 a prime number?
False
Is 18833 composite?
True
Is 3031 composite?
True
Is 40091 prime?
False
Is 1841 a prime number?
False
Is 29833 a prime number?
True
Is 38953 a prime number?
True
Is 181721 prime?
True
Is 25703 composite?
False
Is 644267 a prime number?
False
Is 41333 composite?
False
Is 221297 a prime number?
False
Is 57979 composite?
True
Is 7183 composite?
True
Is 5318579 composite?
True
Is 27311 a prime number?
False
Is 279511 composite?
False
Is 5857 composite?
False
Is 55429 composite?
True
Is 875353 a prime number?
False
Is 7283 a composite number?
False
Is 1468631 a prime number?
True
Is 54539 a composite number?
False
Is 523759 a prime number?
True
Is 33249 a composite number?
True
Is 18661 a composite number?
False
Is 939823 a composite number?
False
Is 59369 a prime number?
True
Is 2759 composite?
True
Is 48851 a prime number?
False
Is 36961 a prime number?
False
Is 571187 a prime number?
False
Is 65137 composite?
True
Is 8899 a prime number?
False
Is 52489 composite?
False
Is 345179 a prime number?
False
Is 209881 a composite number?
True
Is 1636529 composite?
False
Is 454501 a composite number?
False
Is 252571 composite?
True
Is 22045 prime?
False
Is 179519 a composite number?
False
Is 4322 a prime number?
False
Is 6907 composite?
False
Is 177 a prime number?
False
Is 273311 a composite number?
False
Is 297649 composite?
True
Is 7379 a prime number?
False
Is 4091 composite?
False
Is 1087 a prime number?
True
Is 144559 prime?
False
Is 32491 a composite number?
False
Is 485105 a prime number?
False
Is 6239 a composite number?
True
Is 64969 composite?
False
Is 206749 composite?
False
Is 43213 a prime number?
False
Is 310306 a prime number?
False
Is 1465 prime?
False
Is 97523 prime?
True
Is 4918 prime?
False
Is 379081 a composite number?
False
Is 450197 a composite number?
True
Is 4271 prime?
True
Is 355 a prime number?
False
Is 15071 a prime number?
False
Is 178961 a prime number?
False
Is 172421 composite?
False
Is 5639 a prime number?
True
Is 6947 a prime number?
True
Is 4547 prime?
True
Is 15701 composite?
True
Is 338993 a composite number?
False
Is 162753 a composite number?
True
Is 4258 a composite number?
True
Is 1806613 composite?
True
Is 71387 a composite number?
False
Is 1400939 a composite number?
False
Is 100819 a composite number?
True
Is 229247 a prime number?
True
Is 140521 composite?
False
Is 96853 a prime number?
False
Is 499 a prime number?
True
Is 5380015 a prime number?
False
Is 914053 prime?
False
Is 167149 a prime number?
True
Is 128987 a prime number?
True
Is 77071 composite?
True
Is 97763 a prime number?
False
Is 1753 a prime number?
True
Is 112589 a composite number?
False
Is 83651 a prime number?
False
Is 150481 a prime number?
False
Is 1481527 prime?
True
Is 15227 composite?
False
Is 425939 prime?
True
Is 11081 a composite number?
True
Is 3067 composite?
False
Is 308989 prime?
True
Is 17521 prime?
False
Is 1281649 composite?
False
Is 4703 prime?
True
Is 396563 a prime number?
True
Is 6527 a composite number?
True
Is 2998703 a prime number?
False
Is 18779 a composite number?
True
Is 508631 composite?
True
Is 214495 prime?
False
Is 43517 a composite number?
False
Is 87157 a composite number?
True
Is 517 a composite number?
True
Is 2389 prime?
True
Is 1079 composite?
True
Is 163061 prime?
True
Is 144203 prime?
True
Is 143779 a prime number?
True
Is 4985 a prime number?
False
Is 1264709 composite?
True
Is 44483 prime?
True
Is 15539 a composite number?
True
Is 410899 prime?
True
Is 693839 composite?
True
Is 96113 composite?
True
Is 102191 composite?
False
Is 25219 a prime number?
True
Is 58759 a composite number?
True
Is 3403 a prime number?
False
Is 322501 prime?
True
Is 14981 prime?
False
Is 904726 a composite number?
True
Is 7781 a prime number?
False
Is 919 a composite number?
False
Is 16183 a prime number?
True
Is 216743 a prime number?
True
Is 67087 a composite number?
True
Is 1561837 prime?
False
Is 8059 prime?
True
Is 5139949 composite?
False
Is 21631 a prime number?
False
Is 348827 prime?
True
Is 109961 a prime number?
True
Is 10495 a composite number?
True
Is 369535 composite?
True
Is 8513 prime?
True
Is 11923 prime?
True
Is 176621 a composite number?
True
Is 199891 a composite number?
True
Is 1437 prime?
False
Is 246143 composite?
True
Is 30505 a composite number?
True
Is 34777 prime?
False
Is 66221 a prime number?
True
Is 210109 composite?
False
Is 56999 prime?
True
Is 633037 composite?
False
Is 1259 composite?
False
Is 176387 a composite number?
True
Is 20323 prime?
True
Is 8506 prime?
False
Is 180491 composite?
False
Is 51999 prime?
False
Is 37291 a composite number?
True
Is 1381857 a composite number?
True
Is 2321 prime?
False
Is 17291 prime?
True
Is 18933 prime?
False
Is 134727 a prime number?
False
Is 24989 a prime number?
True
Is 314953 a prime number?
True
Is 6068161 prime?
False
Is 113401 a prime number?
False
Is 8419 a prime number?
True
Is 5087 composite?
False
Is 6379 composite?
False
Is 25945 a prime number?
False
Is 326507 composite?
True
Is 2749 composite?
False
Is 269897 a prime number?
True
Is 17218 a composite number?
True
Is 1203 a composite number?
True
Is 3407 a composite number?
False
Is 310382 composite?
True
Is 1174319 prime?
True
Is 419702 composite?
True
Is 189307 a prime number?
True
Is 17693 a prime number?
False
Is 1145 a composite number?
True
Is 307 prime?
True
Is 859 a prime number?
True
Is 250949 a prime number?
True
Is 6421 a prime number?
True
Is 302249 composite?
True
Is 65479 composite?
False
Is 149269 a composite number?
False
Is 5471 prime?
True
Is 3491 a composite number?
False
Is 385789 prime?
False
Is 188999 prime?
True
Is 10289 composite?
False
Is 467 composite?
False
Is 4201 a prime number?
True
Is 15443 prime?
True
Is 39931 prime?
False
Is 51139 a prime number?
False
Is 629 a prime number?
False
Is 575551 a prime number?
True
Is 47303 a composite number?
False
Is 686213 a composite number?
True
Is 1198061 prime?
False
Is 500519 composite?
False
Is 10713 prime?
False
Is 482917 a composite number?
False
Is 100927 prime?
True
Is 26126 a prime number?
False
Is 57103 a prime number?
False
Is 47017 a prime number?
True
Is 18862 prime?
False
Is 2939 a prime number?
True
Is 21011 a prime number?
True
Is 263951 composite?
False
Is 95131 a composite number?
False
Is 1440895 a composite number?
True
Is 48221 prime?
True
Is 514333 prime?
True
Is 16051 a prime number?
False
Is 1
|
{
"pile_set_name": "DM Mathematics"
}
|
9*j**2*z + 393*z**2 + z + 2 with respect to j.
456*j**3*z**2 - 238*j*z
What is the second derivative of 791257*j**2 + 539191*j?
1582514
What is the second derivative of -v**4 - 4379*v**2 + 69356*v?
-12*v**2 - 8758
What is the third derivative of -108914*m**3*n + 2*m**2*n + 3*m*n + 2*m - 2630 wrt m?
-653484*n
What is the first derivative of 14*a*f**2 - 7*a*f + 19*a + 39946*f**2 wrt a?
14*f**2 - 7*f + 19
What is the second derivative of -998*l**3*p**3*x - 314*l**3*x**2 + 2*l**3*x + 42*l*p**3*x + 2*l + 243*p**3*x**2 wrt x?
-628*l**3 + 486*p**3
What is the third derivative of -238781*y**4 - 5929*y**2 + y - 9 wrt y?
-5730744*y
What is the second derivative of 753*m**3*v**2 - 151826*m**3 - 14*m**2*v**2 + 3*m*v**2 + 2*v**2 - v wrt v?
1506*m**3 - 28*m**2 + 6*m + 4
Find the third derivative of -1826*j**4 + 8*j**3 - 4*j**2 + 27903*j.
-43824*j + 48
What is the second derivative of -15*d**2*p**3 - 27407*d**2*p - 3*d*p**3 - 2*d*p**2 + 9481*d - 3*p**3 - 1 wrt d?
-30*p**3 - 54814*p
What is the derivative of -2*d**2*h + 1735*d**2 + 10*d*h + 2*d - 272587*h wrt d?
-4*d*h + 3470*d + 10*h + 2
What is the second derivative of 2694917*s**2 + 28016*s + 5?
5389834
Find the second derivative of -92572*g**5 - 61*g - 1178 wrt g.
-1851440*g**3
Differentiate -5393*t**2 - 14190 wrt t.
-10786*t
What is the derivative of -179*z**2 + 107*z - 29704?
-358*z + 107
Find the second derivative of 2302*p**2*r*u + 4*p**2*r + p**2*u + 2*p**2 + 48*p*r + 303*p - 3*r*u wrt p.
4604*r*u + 8*r + 2*u + 4
Differentiate 2*a*n**3*r + a*n**2 - 2*a*r + 852*a + n**3*r - 4*n**3 - 40*n**2 + 14*n*r with respect to a.
2*n**3*r + n**2 - 2*r + 852
What is the second derivative of 3966392*c*g**2 + 1021*c*g + 132*g wrt g?
7932784*c
What is the third derivative of -10239*a**5 - 386514*a**2 wrt a?
-614340*a**2
Find the second derivative of -17726*i**4 - 142315*i.
-212712*i**2
Find the second derivative of -7*b**5 + 107754*b**2 - 472794*b wrt b.
-140*b**3 + 215508
What is the derivative of -378958*h**2 + 498442 wrt h?
-757916*h
What is the third derivative of 7574*v**6 + 6*v**5 + 71*v**2 - 147?
908880*v**3 + 360*v**2
What is the first derivative of 3*v**4 + 3*v**3 - 417*v + 117?
12*v**3 + 9*v**2 - 417
What is the third derivative of j**3*y - 206416*j**3 - 8*j**2*y - 37*j*y - 15 wrt j?
6*y - 1238496
Find the third derivative of h**2*t**3 + 15*h**2 - 2*h*t**2 + 18*h*t + 50*t**5 + 513*t**3 wrt t.
6*h**2 + 3000*t**2 + 3078
What is the first derivative of 5*k*q**2 + 3205522*k - q**2 + 8567*q wrt q?
10*k*q - 2*q + 8567
Differentiate -5*a*h**2 - 22986*a*h*k**3 - 2*h**2 - 191119*h*k**3 with respect to a.
-5*h**2 - 22986*h*k**3
What is the third derivative of 5*b**4*c + 3*b**3*c**2 - 548*b**3*c - 11813*b**2*c**2 wrt b?
120*b*c + 18*c**2 - 3288*c
What is the third derivative of 2*g**2*p**3 + 2*g**2 + 855*g*i**3*p**3 + 112*g*i**3*p**2 - 2*g*i**2*p**2 + g*p**4 + 48*i*p wrt p?
12*g**2 + 5130*g*i**3 + 24*g*p
Find the third derivative of -22867*b*o**3 + 2*b*o**2 - 2*b*o - 2224*b + 12*o**3 + 61*o wrt o.
-137202*b + 72
What is the derivative of 5*t**3 - 7*t**2 + 1967*t + 179169 wrt t?
15*t**2 - 14*t + 1967
What is the third derivative of 222*m**2*q**5 + 84*m**2*q**2 - 5*m**2 + 58*m*q**2 + 1333*q**6 + q wrt q?
13320*m**2*q**2 + 159960*q**3
What is the second derivative of -163485*b**2 + 50005*b - 1 wrt b?
-326970
What is the second derivative of -1674*v**3*w**2*x**3 - 278*v**3*w**2*x - 2*v**3*w*x**2 - 2122*v*w*x**3 - 2*v*w*x**2 + 48 wrt w?
-3348*v**3*x**3 - 556*v**3*x
What is the second derivative of -350446*a**3 - 843499*a wrt a?
-2102676*a
What is the second derivative of -17*b**4 - 154*b**3 + 17*b + 650 wrt b?
-204*b**2 - 924*b
Differentiate 133*f**3 - 149*f + 43127 wrt f.
399*f**2 - 149
Differentiate 1670*g**3*u + 3*g**2*y + g - 493*u*y - 46*u wrt g.
5010*g**2*u + 6*g*y + 1
Find the third derivative of -225687*s**5 + 2*s**3 - 2*s**2 + 834408 wrt s.
-13541220*s**2 + 12
What is the second derivative of -85*d**2*f**3*y**2 + d**2*f**3 + 9*d**2*y + 84*f**3*y**2 - 190*f**3*y wrt y?
-170*d**2*f**3 + 168*f**3
What is the third derivative of -423211*m**3 - 217540*m**2?
-2539266
Differentiate -80*j**4 + j**3 - 26*j**2 + j + 530472.
-320*j**3 + 3*j**2 - 52*j + 1
Find the third derivative of -72*l**6 + 846*l**5 + 77*l**2 + 2*l - 5045 wrt l.
-8640*l**3 + 50760*l**2
Find the second derivative of 264485*p**5 + 975877*p wrt p.
5289700*p**3
Find the first derivative of -703*o**4 - 132*o**2*x**3 - 128019*x**3 - 2 wrt o.
-2812*o**3 - 264*o*x**3
What is the second derivative of 28041*m**4 + 7059*m wrt m?
336492*m**2
Find the third derivative of 69969*v**3 + 480766*v**2 - 2*v wrt v.
419814
What is the third derivative of 9554*g**3 + 4061*g**2 + 5*g + 3?
57324
What is the second derivative of 148431*h**2*k**2*r + 2*h**2*k*r**2 - 29*h*k + h + 2*k**2*r + 872*k**2 + 2*r**2 wrt h?
296862*k**2*r + 4*k*r**2
Find the second derivative of 261077*k**2 + 3*k - 12846 wrt k.
522154
Find the second derivative of -6*r**5 - 85*r**4 - 5*r**3 - 585*r - 227.
-120*r**3 - 1020*r**2 - 30*r
Differentiate 1457084*k**2 + 225384 with respect to k.
2914168*k
Find the second derivative of -1203566*h**5 + 440970*h wrt h.
-24071320*h**3
Find the third derivative of 106*l**5 - 35*l**4 - 2*l**3 - 538749*l**2 wrt l.
6360*l**2 - 840*l - 12
What is the derivative of 27110*j**3 - 66*j**2*u**2 - 43288*u**2 + 4 wrt j?
81330*j**2 - 132*j*u**2
What is the second derivative of i**2*p**3 - i**2*p - 35*i**2 - 33240*i*p**3 - 2*p**3 + 2*p + 2 wrt p?
6*i**2*p - 199440*i*p - 12*p
Find the second derivative of 3*r**3*t - 15*r**3 + r**2*t + 896*r**2 + r*t - 15*r + t + 1357 wrt r.
18*r*t - 90*r + 2*t + 1792
What is the second derivative of -242412*p**2 + 843690*p?
-484824
What is the third derivative of -161*h**3*m**3*z + 2210*h**3*z**2 + 38507*h**2*m**3*z + 2*h*m**2*z**2 + 2*m**3 wrt h?
-966*m**3*z + 13260*z**2
Find the third derivative of 57*c**3*r**2*z - 595*c**3*r**2 - c**3*r + c**2*r**2 - 273*c**2 + c*r*z + 2*r**2*z wrt c.
342*r**2*z - 3570*r**2 - 6*r
What is the third derivative of -231629*n**4 - 18*n**2 + 620*n + 18 wrt n?
-5559096*n
Find the first derivative of 5*r**4 - 3268*r**3 - 72666.
20*r**3 - 9804*r**2
What is the first derivative of 8317*w**3 - 3*w**2 - w - 361146?
24951*w**2 - 6*w - 1
Find the third derivative of 47647*u**3 - u**2 + 136*u + 635.
285882
What is the first derivative of 6*d**3*g**2 - 697*d**3*g*o + 2*d**3*g - 164*d**3 + 107*d*g**2*o - 2*g wrt o?
-697*d**3*g + 107*d*g**2
Find the second derivative of 38845*s**5 + 18881*s wrt s.
776900*s**3
What is the derivative of -7*c**4 + 5382*c - 555731?
-28*c**3 + 5382
Find the third derivative of 5*c**6 + 4848*c**4 - 7*c**3 - 5223*c**2 - c - 1.
600*c**3 + 116352*c - 42
Find the second derivative of -20*d*o**5 - 65026*d*o**2 + 33*d*o + 225*d + 2*o + 8 wrt o.
-400*d*o**3 - 130052*d
What is the derivative of 122295*j - 9268?
122295
What is the third derivative of 50*y**4 - 1328*y**3 + 14*y**2 - 5723*y wrt y?
1200*y - 7968
Differentiate 144*k*n*z + 2*k*n - 52*k*z + 13*k - 110*n*z - 2*n + z + 31 wrt k.
144*n*z + 2*n - 52*z + 13
What is the second derivative of -4150874*h**4 - 2006523*h?
-49810488*h**2
Differentiate 134143*i*p*s - 26*i*p - 6*i*s + 13*i + 2265 wrt p.
134143*i*s - 26*i
Differentiate -10234*q**2*y + 2*q**2 + 9192*q - 3*y - 4 with respect to y.
-10234*q**2 - 3
Find the third derivative of 127*b**3*q**3 - 3*b**3*q**2 + 8*b**2 - 5150*b*q**3 + 2*b*q**2 + 4405*b wrt q.
762*b**3 - 30900*b
Differentiate 2*d**2*x**2 - 204839*d**2 - 44733*d*x**2 wrt x.
4*d**2*x - 89466*d*x
What is the derivative of -550544*r**4 - 220294 wrt r?
-2202176*r**3
Find the first derivative of 2266*i**3*j**3 - 2*i**3 + 20*j**3 + 1778 wrt j.
6798*i**3*j**2 + 60*j**2
What is the second derivative of -93*o**2*q + 326*o**2 + 57097*o*q wrt o?
-186*q + 652
What is the second derivative of 3462*s**5 - 11*s**4 - 73040*s wrt s?
69240*s**3 - 132*s**2
Find the second derivative of 7*c**2*t**3 - 2*c**2*t - 1101*c**2 + 4629*c*t**3 + 6*c - t**2 - 2*t wrt t.
42*c**2*t + 27774*c*t - 2
Find the third derivative of 171*r**6 - 11346*r**5 + r**3 + 6*r**2 - 24*r + 692.
20520*r**3 - 680760*r**2 + 6
Differentiate -10*i*o**3 - 20*i*o**2 - 4*i*o - 10*i + 3397432*o**3 with respect to i.
-10*o**3 - 20*o**2 - 4*o - 10
What is the second derivative of l**4 - l**3 + 122841*
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 11*u - 12. Let v be o(10). Suppose -4*c + 8*c - 2*q = v, 4*c - 77 = q. What is the remainder when 92 is divided by c?
16
Suppose 4*u = 5*a - 144, -a - 60 = -3*a + 4*u. What is the remainder when a is divided by 10?
8
Let t = 8 + 8. Let k be (4 + (-156)/(-42))*-7. Let n = -25 - k. Calculate the remainder when n is divided by t.
13
Suppose -2*g + 1 = -3*u, -3*g + u + 2 = -3. Suppose -2*c = m - 50, -g*m - 5*c + 85 + 20 = 0. What is the remainder when 119 is divided by m?
39
Suppose -m = -8*m + 7. Let j = 8 + -16. Calculate the remainder when -2*(156/j - m) is divided by 11.
8
Let r = -2054 + 2077. What is the remainder when 895 is divided by r?
21
Let c(y) be the first derivative of -11*y**2 + y - 4. Calculate the remainder when c(-1) is divided by 6.
5
Let t = -201 + 348. Let s(z) = z**2 + z + 3. What is the remainder when t is divided by s(-4)?
12
Suppose -2*o - 175 = -7*o. What is the remainder when o is divided by 4?
3
Suppose 5*s = -5, -3*v - 3*s + 5 = -25. Suppose -9*g + 6*g = -39. Let i = g - v. Calculate the remainder when 5 is divided by i.
1
Let f = 27 + -16. Let n = 21 - f. Suppose 6*o - n*o + 216 = 0. Calculate the remainder when o is divided by 14.
12
Let c(b) = -9*b**3 + 2*b + 1. Let y be c(-1). Let m = -1 + y. Let u = 24 + -22. Calculate the remainder when m is divided by u.
1
Suppose -4*m - 315 = -19*m. Suppose 2*q + 0*x - 43 = x, 3*q = -5*x + 45. Calculate the remainder when q is divided by 12/18*1/(2/m).
6
Let n(j) = -j**2 - 12*j + 51. What is the remainder when 188 is divided by n(-13)?
36
Let k(v) = 1 + 2*v**2 - 3*v**2 - 9 - 8*v. Let g be k(-6). Suppose 2*x + 10 = g*j + 5*x, j + 4*x = -4. Calculate the remainder when 7 is divided by j.
3
Let k be (-24)/36*(-249)/(-2). Let u = 134 + k. What is the remainder when u is divided by 26?
25
Let s(o) = o + 2. Let u be s(5). Let t(g) = g**3 - 5*g**2 + 8*g - 10. Let b be t(u). Suppose -3*f = -f - b. What is the remainder when f is divided by 25?
22
Suppose -2*r - 15 = 3*r, -5*g + 3*r + 144 = 0. Suppose -4*f = -21 - g. Let m = 181 - 148. Calculate the remainder when m is divided by f.
9
Suppose -23256 = 74*y - 142*y. What is the remainder when y is divided by 53?
24
Let x(a) = -4 + 52*a**2 + 4*a - 11 - 51*a**2. Calculate the remainder when 31 is divided by x(-8).
14
Let k = 300 + -168. What is the remainder when 129 is divided by ((-3)/2)/(2/(k/(-3)))?
30
Suppose 4*a = 2*y + 34, -3*a + 5*y + 49 = 13. Let z(l) = 4*l. Calculate the remainder when 111 is divided by z(a).
27
Let y(c) = 6*c + 51. What is the remainder when y(27) is divided by 196?
17
Let a(q) be the first derivative of q**2 + 27*q + 2. Suppose 3*y + 3*f - 10 = -1, -15 = -5*f. Calculate the remainder when 53 is divided by a(y).
26
Let r = -2063 + 2170. Calculate the remainder when r is divided by 14.
9
Suppose -4*v + 74 = -26. Let m(b) = 28*b - 97. What is the remainder when v is divided by m(4)?
10
Let i = 70 - 14. Suppose 0*f - 5*f + 145 = 2*s, i = f - 5*s. What is the remainder when f is divided by 17?
14
Let s = 6 - 6. Suppose -3*a + 39 = 5*d, -25 = -3*d - s*d - a. Suppose 2*g - 5*m = -3, -5*g = 5*m - 45 - 0. What is the remainder when d is divided by g?
3
Suppose 14*q = 19*q + 20. Calculate the remainder when 55 is divided by (q/6)/(2/180*-4).
10
Suppose 0*d - 12 = -4*d. Suppose -2*f = d - 9. What is the remainder when 10 is divided by f?
1
Suppose -4*w + 16 = 2*j, 4*j - 90 - 2 = 4*w. Calculate the remainder when 34 is divided by j.
16
Let u(y) = 10*y**2 - 9*y + 7. Let k be u(3). Suppose -2*s - 3*s + k = 0. Calculate the remainder when 54 is divided by s.
12
Let q(o) = -95*o**2 - 98*o - 2. Suppose -5*j + 4 + 1 = 0. Calculate the remainder when j/(-2)*(-3 + -1) is divided by q(-1).
0
Let n be (-2)/(-1)*(-70)/4. Suppose b + b - v = 182, -2*b = v - 186. Let u = n + b. Calculate the remainder when u is divided by 20.
17
Suppose -11*i = -i - 3210. Calculate the remainder when i is divided by 47.
39
Let s = -49 + 53. Suppose -57 = -2*g - 5*t, -2*t = 5*g - s*t - 99. What is the remainder when g is divided by 11?
10
Let g(n) = -n**3 - 8*n + 7*n + 1 - 108*n**2 + 114*n**2. Calculate the remainder when g(5) is divided by 4.
1
Suppose -2 + 30 = 3*v + 5*z, 3*v - 5*z = 38. Calculate the remainder when 84 is divided by v.
7
Suppose -2*o - 5*z = -2 + 3, z = 2*o - 29. Calculate the remainder when -9 + (-79)/(-9) + 632/9 is divided by o.
10
Suppose 67 = 3*v + v + s, -s = -5*v + 86. Let o = v - 12. Calculate the remainder when o is divided by (-22)/(-6) + 3/9.
1
Let c = -181 - -353. Let z = -45 + c. Calculate the remainder when z is divided by 33.
28
Suppose 23*u + 2*r + 595 = 26*u, -4*u + 792 = -4*r. Calculate the remainder when u is divided by 16.
7
Let z = 4 - -12. Suppose 0 = 15*r - z*r + 58. Calculate the remainder when r is divided by 23.
12
Let g be (0 - 1)*(-3 + 2). Let o = -37 - g. Let f = -23 - o. What is the remainder when 87 is divided by f?
12
Let z be (2/(-4))/((-1)/434). Suppose -4*g + w + z - 76 = 0, -3*g = -2*w - 107. Calculate the remainder when g is divided by (4/(-11))/((-68)/3366).
17
Let h = -20 - -24. Let p be ((-2)/h)/((-14)/(-1596)). Let q = 94 + p. What is the remainder when q is divided by 20?
17
Let x be (-200)/(-3)*180/8. What is the remainder when 1/(3*4/x) is divided by ((-4)/5)/(3/(-6))*20?
29
Let k = -4 - -6. Let d(w) = -11*w - 5 + k - 1 - 1. What is the remainder when d(-4) is divided by 14?
11
Suppose 5*y - 28 = y. Suppose -2*t + 11 = 4*u - 9, -3*u + 12 = 0. Calculate the remainder when 113/6 + t/12 is divided by y.
5
Let m(p) = -16*p**2 + 5 - p**3 + 0*p**3 + 4 + 17*p. Let z be -34*(3 + (-25)/10). Calculate the remainder when 15 is divided by m(z).
6
Let l(b) = b**2 + 39*b - 40. Let h(u) = u + 4. Let s(i) = -i**2 + 10*i - 2. Let a be s(9). Calculate the remainder when l(-41) is divided by h(a).
9
Let j(w) = w + 4. Let i be j(-5). Suppose 4*b + 2 = 3*b. What is the remainder when 1/i*(-37 - b) is divided by 18?
17
Let t = 4 - -40. Calculate the remainder when t is divided by 23.
21
Let n(q) = -q**2 + q + 106. Calculate the remainder when 205 is divided by n(-7).
5
Let s(g) = -4*g + 1. Let d = -17 - -20. Calculate the remainder when s(-2) is divided by 3/(-9) - (d + (-76)/12).
0
Suppose -40 - 57 = -11*g - 31. Let n(v) = -v**3 + 8*v**2 + 2*v - 2. What is the remainder when n(8) is divided by g?
2
Suppose -29*i + 18*i + 1463 = 0. Calculate the remainder when i is divided by 27.
25
Let n = 169 - 123. Suppose 0 = -5*s + 5, -s - 4*s = -3*i + 43. Calculate the remainder when n is divided by i.
14
Let h = 23 + -17. Suppose 8*t - h*t - 38 = 0. Suppose 2*b + 0 = 20. What is the remainder when t is divided by b?
9
Suppose 0*u = -3*u. Suppose u = -4*g + 2*t + t + 25, -5*g + 23 = -t. Calculate the remainder when 21 is divided by (g/5)/(16/120).
3
Suppose 262 = 10*t - 28. What is the remainder when t is divided by 5?
4
Suppose 7*b - 48 = b. What is the remainder when 1/2 - (-636)/b is divided by 21?
17
Suppose 2*y + 116 = 3*u, -3*y - 30 - 163 = -5*u. What is the remainder when 173 is divided by u?
21
Let z be -3 + 2/4 + (-4)/8. Calculate the remainder when 13 is divided by 11*1 - (-12)/z.
6
Suppose 14*d = 831 + 317. What is the remainder when d is divided by 12?
10
Let x(d) = d**3 - 2*d**2 + 4*d + 3. What is the remainder when x(5) is divided by 20?
18
Let p = 67 - 43. Suppose -4*o + p = -0*o. Suppose -t = -o*t + 50. What is the remainder when 17 is divided by t?
7
Let b(c) = -c**3 + 21*c**2 + 23*c - 5. Calculate the remainder when 40 is divided by b(22).
6
Let g = -453 + 455. Calculate the remainder when 25 is divided by g.
1
Suppose -69 + 15 = -3*h. Let q = -26 + 35. What is the remainder when h is divided by 2*(-3)/q*-15?
8
Let v(f) = -f**3 - 9*f**2 - 17*f + 3. Let i be v(-7). Let g = 31 - i. What is the remainder when 26 is divided by g?
5
Suppose -d + 4*g = -3, -g + 0*g = 5*d - 15. Suppose -j - 23 = -6. Let m = j - -28. What is the remainder when m is divided by d?
2
Let v(f) be the first derivative of 1 + 12*f + 1/2*f**2. Calculate the remainder when 27 is divided by v(-6).
3
Suppose 7*q - 13*q = -354. Calculate the remainder when q is divided by 30.
29
Suppose -2*l = -3*p - 7 - 19, 5*p - 10 = -2*l. Calculate the remainder when 219 is divided by l.
9
Suppose 5*f + 4*c = 129, 4*f - 112 = -0*f - c. Suppose f
|
{
"pile_set_name": "DM Mathematics"
}
|
-22?
24
Which is the biggest value? (a) 2 (b) -2028.627 (c) 4
c
Which is the second smallest value? (a) 8 (b) 0.918 (c) 3 (d) 7
c
What is the smallest value in 1, 4, 0.5, -18, 3?
-18
Which is the second biggest value? (a) 4 (b) -34 (c) -1/2 (d) -8 (e) 4/17
e
Which is the biggest value? (a) -0.5 (b) 0 (c) -1 (d) -25756
b
Which is the smallest value? (a) 13.16 (b) 3 (c) 20/11 (d) -2/7
d
Which is the second smallest value? (a) -8 (b) -5.88 (c) -2 (d) 0.4
b
What is the fourth smallest value in -0.58, 18, 1/36, 1/6?
18
What is the smallest value in 5, 6/11, -290?
-290
What is the sixth smallest value in 2/29, -0.5, 224, -5/4, -1, -2?
224
What is the biggest value in 5, -1, -0.0366, 2?
5
Which is the second smallest value? (a) -4 (b) 0.4 (c) -2/185 (d) 2/25
c
What is the second smallest value in -0.4, 1/5, 2/19, -5, 3/4?
-0.4
What is the second smallest value in -67, -2/59, 1, 0.1?
-2/59
Which is the fourth smallest value? (a) -4 (b) 2 (c) -0.1051 (d) -0.19
b
Which is the third biggest value? (a) -0.3 (b) 0.3 (c) -3369/5
c
Which is the third biggest value? (a) 46 (b) 1/4 (c) -5 (d) -0.1 (e) 493 (f) -0.4
b
What is the biggest value in 0.6, 4/17, 2, -2/11, 1?
2
Which is the third smallest value? (a) -1 (b) -0.09 (c) 0.04 (d) 78.5
c
Which is the smallest value? (a) 2 (b) 0.3 (c) 137
b
What is the second smallest value in -38/119, 3/7, -4, 5?
-38/119
Which is the second biggest value? (a) 5/8 (b) -10/3 (c) 2712
a
What is the fifth smallest value in -8, 0.4, -1/4, 1, -15/2?
1
Which is the sixth biggest value? (a) -63 (b) -2 (c) 41 (d) 0.2 (e) -1/4 (f) -2/13
a
Which is the fourth biggest value? (a) -4/3 (b) -151 (c) 1 (d) 0.07 (e) 2
a
Which is the fourth smallest value? (a) -2 (b) 25 (c) -13 (d) 3 (e) 0.5 (f) 92
d
Which is the third biggest value? (a) 0.4 (b) 3 (c) -25/3 (d) 2/173
d
Which is the smallest value? (a) -11 (b) 26/33 (c) -3
a
What is the fifth biggest value in 36, -0.224, -2/5, -1, -5?
-5
What is the smallest value in -0.2, 2, -4, 0.07, -2, -3?
-4
Which is the biggest value? (a) 1/5 (b) -46 (c) 0 (d) 422 (e) -3 (f) 1/3
d
What is the biggest value in 10, 15/56, 0.1?
10
Which is the biggest value? (a) -0.23 (b) -0.04629 (c) -3
b
What is the second smallest value in -0.2, 2/11, 5123?
2/11
What is the smallest value in 3, 2, 766, -0.079, 0, 5?
-0.079
What is the fifth smallest value in -3/7, -0.2, -13, 0.6, -2/489?
0.6
What is the third biggest value in -5, 0.2, 1/18, -327, 0?
0
Which is the third smallest value? (a) 890 (b) -0.4 (c) -3 (d) -4/7 (e) 0
b
What is the third smallest value in 2, 2/21, -2/181?
2
Which is the biggest value? (a) 2 (b) -0.14 (c) 3 (d) 50 (e) -5
d
Which is the smallest value? (a) 12 (b) 1 (c) 19
b
What is the fifth biggest value in 0.06, 3/4, 24.66, -0.4, 4?
-0.4
Which is the third smallest value? (a) -24/97 (b) -49 (c) 1
c
Which is the second smallest value? (a) -1/5 (b) 1/10 (c) -499 (d) -5
d
What is the third biggest value in -2/19, 0.1, 2, 1/6, -12/7?
0.1
Which is the third smallest value? (a) 3 (b) 1/8 (c) -6/1661
a
What is the biggest value in 4, 0.1, -1/5, -1278/19?
4
Which is the fourth smallest value? (a) 1/6 (b) 2 (c) -3 (d) 6/11 (e) 3/7
d
What is the second biggest value in 0.04605, -1/4, -2/19, 0.2?
0.04605
Which is the second smallest value? (a) -9/10 (b) 0.3 (c) -2/363
c
What is the second smallest value in 24/599, 0, 0.2, -0.3?
0
Which is the second biggest value? (a) 0.3 (b) -0.3 (c) -5/6 (d) -122/29 (e) 0.06
e
What is the smallest value in 0.02, -4, 2/11, 2/53, -2/5?
-4
What is the sixth smallest value in 0, -4, -2, 3484, 1, -5/3?
3484
What is the third biggest value in -1/5, -9555, -0.1, -1?
-1
Which is the third smallest value? (a) -1.9 (b) -100 (c) -2 (d) 0.3 (e) 3
a
Which is the third biggest value? (a) -0.07 (b) 1 (c) 1/3 (d) 36062
c
Which is the third smallest value? (a) 1/5 (b) -707 (c) -8
a
What is the second biggest value in 11, -23, -0.178?
-0.178
Which is the fourth smallest value? (a) -0.4 (b) -2.322 (c) -2/3 (d) 1 (e) 2
d
What is the biggest value in -367, 0.2, 0, 2, 125?
125
Which is the second smallest value? (a) -4 (b) -2 (c) 0.5 (d) 1/12 (e) 194
b
What is the smallest value in -2067, -0.18, 1?
-2067
Which is the biggest value? (a) -1 (b) -1/7 (c) -93 (d) 0.5 (e) 2 (f) -7/2
e
What is the third smallest value in -4/3, -140, 8, 11, 4/9?
4/9
Which is the biggest value? (a) 0.12 (b) 0.08 (c) 19
c
What is the smallest value in -2/3, -2, 2/2903, 5, -0.15?
-2
What is the fifth biggest value in -0.4, 0, -793, -3, 1?
-793
Which is the fourth smallest value? (a) 1 (b) -4 (c) 3 (d) 0.3 (e) 2.8 (f) 11
e
What is the sixth smallest value in -3/17, -5, -0.1, -2, 3, -0.13?
3
What is the third biggest value in -163089, 0.4, 11?
-163089
Which is the fourth biggest value? (a) 0.4 (b) 5/23 (c) -0.16 (d) 40
c
What is the third biggest value in 1, -1/9, 33/25, -2/3?
-1/9
What is the fourth smallest value in 0.6, -0.16, -2/3, 0.186?
0.6
Which is the third smallest value? (a) -1 (b) 1 (c) 4 (d) 754 (e) -0.4
b
Which is the smallest value? (a) -0.03 (b) -1 (c) -138 (d) 0.1 (e) 2/9
c
Which is the second biggest value? (a) -2 (b) 235 (c) -33 (d) -5 (e) -0.18
e
Which is the biggest value? (a) -18 (b) -0.202 (c) -23
b
What is the smallest value in 2/131, -3/92, 5?
-3/92
Which is the sixth smallest value? (a) -118 (b) 0 (c) -2/7 (d) 0.1 (e) -0.05 (f) -6/5
d
What is the second smallest value in -1/4, -260, 2/3, -5?
-5
What is the second smallest value in -9, -734, 4.1, -3?
-9
What is the third smallest value in 3, -7, -0.2, -0.57?
-0.2
What is the fifth biggest value in -4, 6/191, 1/7, -10/37, -1/4?
-4
Which is the second smallest value? (a) 101 (b) 3 (c) 23
c
Which is the fourth smallest value? (a) -156 (b) 6/11 (c) 2 (d) -1/5
c
What is the fourth smallest value in 2, -5/3, 10, 1, 0.5?
2
Which is the fourth smallest value? (a) 565.2 (b) -4 (c) -5 (d) 3/8 (e) 0.3 (f) -0.3
e
What is the third biggest value in -2, 8/5, 177/4?
-2
What is the third smallest value in 0.04, 2/11, -85, 1/20?
1/20
What is the biggest value in -3, -0.01, 1, 0.13, 168?
168
What is the sixth smallest value in -0.1, -2, -9, -4, -0.01, 5?
5
What is the second smallest value in -1.2, -0.5, 5.9, -2/7, 0?
-0.5
What is the fourth smallest value in -0.1, 2, 5, 0.07?
5
What is the fourth smallest value in 1, 739, -2, 0.292?
739
What is the fourth biggest value in -570, 3, 5, 0?
-570
What is the second biggest value in 4, 1.5, 0, 5, -1/2, 0.2?
4
Which is the fourth smallest value? (a) -7 (b) 2/1259 (c) 2 (d) 3
d
Which is the biggest value? (a) 1/5 (b) -0.2 (c) -1/38 (d) -12 (e) 1/2
e
Which is the fifth smallest value? (a) 1/4 (b) 65 (c) 21 (d) -3 (e) -1
b
Which is the fifth biggest value? (a) -17 (b) 1 (c) -0.5 (d) 0.02 (e) 4 (f) 3/5
c
What is the third smallest value in 0, 11, 1/8, 184, -5, -1/4?
0
What is the third biggest value in 4/9, -0.1, -4, -44.871?
-4
What is the fourth biggest value in -11/3, 0.3, 2, 24/25?
-11/3
Which is the third biggest value? (a) -381/4 (b) 22 (c) -1.6
a
What is the second biggest value in -3369/2, -0.2, -2.8?
-2.8
What is the third biggest value in 0.5, -59, 3, -4, -14?
-4
Which is the third smallest value? (a) -66159 (b) -2/9 (c) -0.1 (d) -0.4
b
Which is the biggest value? (a) -564 (b) 48 (c) 4
b
What is the second smallest value in -6, -0.4, -0.5, 0, -0.91?
-0.91
What is the third smallest value in -30/13, -0.08, 0?
0
Which is the smallest value? (a) 29 (b) -17 (c) 339
b
Which is the second biggest value? (a) 4 (b) 2 (c) 38 (d) -4 (e) -0.2 (f) -7
a
Which is the fourth smallest value? (a) 0 (b) 0.4 (c) 7 (d) -2/977 (e) 4
e
Which is the third biggest value? (a) -1/40 (b) -1/7 (c) -5 (d) -0.1 (e) 5 (f) -2.8
d
What is the fifth smallest value in 17/12, 1, -5, 0.05, -3/5?
17/12
What is the sixth biggest value in -8/7, 3131, 2, -3, -0.5, 8?
-3
Which is the smallest value? (a) 1/4 (b) -0.2 (c) -35476 (d) -1
c
What is the second biggest value in 15, 1, -0.1, -0.2, -41?
1
What is the second biggest value in -0.07, 7, 5.3, -2/9, 50?
7
Which is the second smallest value? (a) 3/5 (
|
{
"pile_set_name": "DM Mathematics"
}
|
x**7/630 - x**6/720 + x**5/20 + x**4/6 + 42*x. Let s(j) be the third derivative of f(j). Is s(5) composite?
True
Is (7 - 1) + 35545/(-15)*(-3)/1 a composite number?
True
Let d be -3 + (-15)/(-6) + 18/4. Is ((-30)/(-15))/(d/15578) a prime number?
True
Let c = 8679 + -4502. Is c prime?
True
Let h be (-18 - -19)*98*(-89)/(-2). Suppose -7*w + h + 6216 = 0. Is w prime?
True
Suppose 4*f + 0*f - 5*a = 326625, 2*f + 4*a = 163280. Suppose -38170 = -12*v + f. Is v prime?
False
Suppose 3*c + 9106 = 1768. Suppose -11*n = -14*n - 873. Let p = n - c. Is p prime?
False
Suppose -114235 = -41*d + 36*d. Suppose -2*c + d = 9*c. Is c a composite number?
True
Let s = -171 - -179. Is 66475/s + ((-42)/16)/7 a prime number?
False
Suppose 5*h = 15 - 5, 2*u - 16 = -3*h. Suppose u*k - 39082 = 8923. Is k a composite number?
False
Let w(v) = 1186*v**2 - 5*v - 103. Is w(-8) composite?
True
Suppose 2*n - 498 = 376. Suppose n = -2*j - 919. Let h = j - -1243. Is h prime?
False
Let h(x) = 21691*x**3 - 3*x**2 + 6*x + 10. Let o(l) = l**3 - l**2 + 1. Let y(w) = -h(w) + 5*o(w). Is y(-1) prime?
False
Suppose 12*m - 15759458 = -131*m. Is m a prime number?
False
Let u be (12/5)/((-57)/(-95570)). Is (10/(-4) + 2)/((-2)/u) prime?
False
Let q(b) be the third derivative of b**6/15 + 11*b**5/60 + b**4/12 - 11*b**3/2 - 117*b**2. Is q(8) a composite number?
False
Let w be 7/(21/12)*30/40. Suppose w*j - 5935 = 2720. Is j a composite number?
True
Suppose -56*f = -39*f - 361573. Is f composite?
False
Suppose 4*m = 3*m + 10907. Suppose 8*z + 5*z - m = 0. Is z composite?
False
Suppose -k = -2*k + 3*c - 8, 0 = -3*k + 5*c - 16. Let x be k/(4 + -6)*0. Suppose 0 = -x*i + 3*i - 885. Is i a prime number?
False
Is (-20)/(-50)*-10 - -28971 a prime number?
False
Let n(a) be the first derivative of 4 + 5/4*a**4 - 5/3*a**3 - 11*a + a**2. Is n(4) a prime number?
False
Let k = 13600 + 26059. Is k a prime number?
True
Suppose 47*z - 2095508 + 603133 = 658768. Is z composite?
True
Is 1041811 - (-11 - -26 - (7 + 0)) a prime number?
False
Let b = -31 - -31. Suppose b = f - 3*f - 72. Is ((-120)/f)/(3/((-63)/(-2))) prime?
False
Suppose -11*l = -22*l + 106997. Is l a prime number?
False
Suppose 0 = 5*m - j - 21913 - 4426, -3*m - 5*j + 15837 = 0. Is m composite?
True
Suppose -86*t - 107*t + 68588322 = -53045489. Is t a composite number?
True
Suppose -x + 1547 = -208. Suppose 9449 - x = 2*n. Is n a prime number?
True
Let c = 927688 - 403769. Is c prime?
False
Let h(o) = -o**3 + 19*o**2 + 426*o + 47. Is h(-22) prime?
False
Let z(f) be the third derivative of f**6/120 + f**5/15 - f**4/24 - f**3/3 - 3*f**2. Let a be z(-2). Suppose a*c = 3*c + 6005. Is c composite?
False
Suppose 0*y + y = 1, 0 = -4*d + 5*y - 761. Let l = 1163 + d. Is l a prime number?
False
Let c(f) = 35*f**2 - 15*f - 7. Let h be c(-11). Let z = 1342 - h. Let l = -1780 - z. Is l prime?
False
Suppose -19*i + 16*i - 5*q = -71913, 4*i + 4*q - 95884 = 0. Is i prime?
True
Suppose 2*b + 31080 = 14*b. Suppose 3*z + 3*c - 4*c = 1942, 0 = -4*z + 2*c + b. Is z a prime number?
True
Suppose -6*i + 54 = -18. Let b(v) = 25*v + 17 + 27 - 13. Is b(i) prime?
True
Let m(i) = 14*i - 62. Let z be m(-18). Let p = 457 + z. Is p prime?
False
Let m = -89347 + 162648. Is m a prime number?
False
Suppose -7*q + 115 = 16*q. Suppose -q*o - 3487 = -j - 0*j, -2*j = 2*o - 6974. Is j a prime number?
False
Suppose 4*b + 4 = 6*b. Let t(s) = -47*s**3 + s**2 - s + 3. Let d be t(-2). Suppose -b*p = 5*p - d. Is p a prime number?
False
Suppose -4 = 4*j + 4*s, 2*j - 7*s + 4*s + 22 = 0. Let q be (63/(-35))/(-9) - (-1)/j. Suppose q = v - 11 - 24. Is v composite?
True
Suppose -4*u = -2*u - w - 12, 0 = 4*w. Suppose u*q = 7*q - 2075. Suppose d = z + 3*z + 675, 2*z + q = 3*d. Is d a composite number?
True
Let j(b) be the second derivative of 7*b**5/10 + b**4/2 + 10*b**3/3 + 27*b**2/2 - 65*b. Is j(11) a prime number?
False
Suppose 10*q + 12690 = 20*q. Let l = q + 1684. Is l a composite number?
False
Suppose -a + 16427 = 2*t - 2078, -a + 18498 = -5*t. Is a a composite number?
False
Suppose 2154440 = 41*f - f. Is f prime?
True
Suppose 30*j = 25*j + 32970. Suppose t + 7*y - 3289 = 2*y, -2*y = 2*t - j. Is t a prime number?
True
Let q be -59 - (-7 + 6)*5. Is 17320/36 + 6/q a prime number?
False
Let q = -288 + 293. Suppose 2*d - 26195 - 14337 = -4*j, q*j + 5*d = 50665. Is j prime?
True
Let l(i) be the second derivative of -71*i**3/6 - 4*i**2 + 3*i + 38. Is l(-9) composite?
False
Suppose 1758 = 17*i - 16*i + 4*v, 3*i - 5278 = -8*v. Is i prime?
False
Let k = 264281 + -156054. Is k composite?
True
Suppose 4*b = 2746 + 802. Suppose 0 = 34*n - 37*n + 24, -5338 = -3*r - 5*n. Let p = r - b. Is p composite?
True
Let b = 1069 - 2768. Let x = b - -4060. Suppose 0*p = 3*p - x. Is p prime?
True
Suppose 0*f = -2*f - 3*x + 275, 3*f - 365 = 5*x. Let t = -128 + f. Suppose 0 = t*c - 36 - 26. Is c a prime number?
True
Let s(m) = -m + 1. Let n(a) = -a**3 - 8*a**2 - 6*a - 6. Let d(f) = -n(f) + s(f). Let c(h) = h**3 - 9*h**2 + 11*h + 38. Let b be c(5). Is d(b) prime?
False
Suppose -4*l - 4*l + 280 = 0. Let o be 21 - l - (1 - 3). Is (365/(-2))/(6/o) a composite number?
True
Let b(a) = -25*a + 156. Let k be b(6). Is -1*(-9662 + -7 + k) a composite number?
True
Let m = 17 + -15. Suppose -l + 6 = m. Is 878 + (7 - l) + -4 composite?
False
Let u(k) = 205*k**2 - 41*k + 1283. Is u(-46) composite?
True
Let c(h) = 12*h**2 - h. Let s be c(2). Let m = 51 - s. Suppose 3*d - m*u = 2402, d + d - 3*u - 1600 = 0. Is d a prime number?
False
Let s be -3 - (-7 + 4 + -1). Is s*(-220494)/4*22/(-33) composite?
False
Suppose 0 = 4*z + 3*z - 35. Suppose z*s + 930 = -365. Is (-3)/((-12)/(-4))*s composite?
True
Let c = 51 - 47. Let v be 54/45*(c - -1). Suppose -1402 = v*a - 8*a. Is a a composite number?
False
Suppose 7*v + v = -72. Let y be (v + -1 + -2 + 4)/(-2). Suppose -i + y*i = 12867. Is i prime?
True
Let a(g) = 2*g**3 - 4*g**2 - 7*g + 3. Suppose -12 = -3*m, 0 = -2*b - 2*m - 0 + 18. Let x be a(b). Suppose 1238 + x = 6*t. Is t composite?
True
Let o = 7295 - 14762. Let c = 12778 + o. Is c composite?
True
Let z be (-20)/(-6)*(2 + 0 + 1). Suppose -z - 44 = -3*h. Is 1839/2 + h/12 a composite number?
True
Let v(i) = 6*i + 13. Suppose 5*j - 3*f = -0*f - 24, -4*j - 3*f - 3 = 0. Let x be v(j). Let a(b) = -238*b - 16. Is a(x) a composite number?
True
Let r(l) = -l + 15. Let b be r(17). Is (2 - (-40)/(-25))/(b/(-21005)) composite?
False
Suppose -2*c = 13*m - 4*m - 114397, 3*c - 5*m = 171688. Is c a prime number?
True
Let r(k) = 2*k + 1. Let p(s) = 2054*s**3 + s**2 - 8*s - 9. Let d(g) = -p(g) - 2*r(g). Is d(-2) prime?
True
Let m(b) = -4*b**3 - 12*b**2 - 3*b + 4. Let u be -1*3 + -16 + 6. Is m(u) prime?
True
Let n(f) = -29 - 37 + 987*f + 57. Let i be n(4). Suppose -293 + i = 2*x. Is x composite?
False
Let p(q) = -2*q**2 + 30*q + 39. Let w be p(-11). Let s = -120 - 228. Let c = s - w. Is c prime?
False
Let s be 2285 - (4/6 - 16/(-12)). Suppose -5*o = 2*h - 7562, 0 = -3*h - 3*o + 9078 + s. Is h a composite number?
True
Let n = 73 + -93. Let h = n - -229. Is h a prime number?
False
Suppose -2*w - 7 = 3. Let a be ((9 - 4)/w)/((-2)/6). Suppose a*b + 2*m + 73 = 312, 4*b - m = 337. Is b prime?
True
Suppose 0 = -b + 3*b + 4. Let i be 12*(b - (-3)/4). Is ((-2158)/39)/(2/i) prime?
False
Let h(b) = 318*b - 61. Let l(t) = 2*t - 2. Let i be l(8). Is h(i) prime?
True
Let s be (-24)/(-8) + -104*1. Let b = 57 + s. Let h = b - -279. Is h a prime number?
False
Suppose 3*v + 3*g = 1296342, 30*v + 2*g + 1296377 = 33*v. Is v a prime number?
True
Let s(a) = 96*a**3 + a**2 - 3*a - 20. Let n(v) = 288*v**3 + 4*v**2 - 7*v - 58. Let g(k) = -3*n(k) + 8*s(k). Is g(-3) a composite number?
False
Suppose 2*f + b - 999 = 2406, 0 = -f + 3*b + 1720. Suppose -s + f = 4*a, 5*a + 6 = 26. Is s a composite number?
True
Let b = -146 - -151. Suppose 0 = -b*g + 9878 + 1347. Is g a composite number?
True
Let s(h) = -h**3 - 8*h**2 - 4*h - 12. Let d be s(-8). Suppose 3*z + 5 = 4*l, 0*z + 2*l = -2*z + d. Let j(x) = x**3 + 6*x**2 - 6*x + 6. Is j(z) composite?
False
Let b(i) = 55*i**2 - 5*i + 2. Let r be b(-6). Let n = r + -39. Is n a composite number?
False
Suppose -78*c = -77*c + 8096. Let u = -4413 - c. Is u prime?
False
Let m(o) be the second derivative of o**3/3 + 1063*o**2/2 + 23*o. Let s be m(0). Su
|
{
"pile_set_name": "DM Mathematics"
}
|
l is divided by i.
30
Let d(i) = -i**2 + 107*i - 2340. What is the remainder when 111 is divided by d(31)?
15
Let r = 50 + -43. Suppose -u - 6*u = -r. Calculate the remainder when (u + 3 + -3)*10 is divided by 7.
3
Suppose 11*i = 33*i - 44. Suppose -49*c + 51*c - 242 = i*t, 5*c - 603 = 3*t. What is the remainder when c is divided by 27?
12
Let p(h) = -h**2 + 81*h - 606. Calculate the remainder when 155 is divided by p(9).
29
Suppose 28 - 3 = 5*m + 5*j, j + 4 = 2*m. Suppose -m*l = 3*o - 39, o - 2*l - l - 9 = 0. What is the remainder when 43 is divided by o?
7
Let k = -12962 + 13194. Calculate the remainder when 9740 is divided by k.
228
Let j = -191 - -281. Suppose 330 - 298 = 4*b. What is the remainder when j is divided by b?
2
Calculate the remainder when 315 is divided by 37 + (-60)/(-12) + -9.
18
Let f(j) = 88*j**2 + 2*j + 1. Suppose l - 235 = p, -18*p + 17*p = 5*l + 265. Let y = -218 - p. What is the remainder when f(-1) is divided by y?
21
Suppose 4*x - 5*u - 147 = 0, u = 5*x - 125 - 85. What is the remainder when x is divided by 14?
1
Suppose -484*h + 441*h = -2193. Calculate the remainder when 164 is divided by h.
11
Suppose 5*d - 4*x = -6*x + 21, 0 = 2*x - 6. Let i = d - 40. Let w = i + 48. What is the remainder when 38 is divided by w?
5
Let q(y) = -y**2 - 2*y + 1309. Calculate the remainder when 1183 is divided by q(34).
78
Suppose 0 = -5*y + 5*f - 55865, 6*y - 2*f + 55880 = y. Let l(p) = 4*p + 2. Calculate the remainder when (y/(-405))/((-7)/(-5) - 1) is divided by l(5).
3
Suppose 0 = -k + i + 25, 19*k - 23*k = -2*i - 94. Suppose 4*y - 525 = -4*v + 3*y, -v + 150 = 4*y. Calculate the remainder when v is divided by k.
20
Suppose 762*l = 114*l - 420*l + 190104. Suppose -5*q + 2*f = -f - 174, -3*q + 3*f = -102. What is the remainder when l is divided by q?
34
Let y = 87 - -414. Let j(z) = -z**2 + 35*z + 1479. Calculate the remainder when y is divided by j(59).
60
Let a(w) = -w**3 + w**2 + 3*w + 2. Let s be a(-1). What is the remainder when 149/5 - ((-18)/(-10) + -2) is divided by (1 - 4) + (s - -13)?
8
Suppose -5*t = -5*o + 9*o - 1483, 2*t - 6 = 0. Calculate the remainder when 1070 is divided by o.
336
Let r(i) = -i**3 - 16*i**2 - 66*i - 35. Calculate the remainder when r(-10) is divided by 12.
1
Suppose -2*d + 72 = -98. Let f(y) = y**2 - 11*y - 220. Suppose 4*o + 2*m - 86 - 6 = 0, 136 = 6*o + 2*m. What is the remainder when d is divided by f(o)?
19
What is the remainder when (-24)/((-238)/(-1008) - 2/8) is divided by 19?
18
Suppose 360*n - 309630 - 359871 = -152181. Calculate the remainder when n is divided by 7.
2
Suppose 4*s + t = 13, -s + 144 = -5*t + 125. Let z(p) be the first derivative of -p**3/3 + 3*p**2 - 5*p - 6. What is the remainder when s is divided by z(4)?
1
Suppose -10*j = -11*j + 739. Suppose 4*n + n + l - j = 0, -3 = 3*l. Calculate the remainder when n is divided by 19.
15
Suppose -8*g + 5*p = -12*g + 145872, 0 = 4*g - 4*p - 145944. Calculate the remainder when g is divided by 192.
190
Suppose -3 = -4*l + 5. Let q(f) = 3*f**2 + 3*f - 6. Let p be q(-4). Suppose -5*o = 3*d - p, d = -2*o - l*d + 21. What is the remainder when 3 is divided by o?
0
Let w = -35031 + 35694. What is the remainder when 677 is divided by w?
14
Suppose 0 = -5*l - 2*c + 283, 22*l + 3*c = 26*l - 254. Calculate the remainder when 186 is divided by l.
9
Let n = -34549 - -34639. Calculate the remainder when 314 is divided by n.
44
Let i = 201 - 199. Let l(z) = 5*z**2 - 28*z + 54. What is the remainder when 88 is divided by l(i)?
16
Suppose 29 + 1903 = 24*b - b. What is the remainder when 912 is divided by b?
72
Suppose h - 63 = 8*h. Suppose 0 = -2*l - 3*l + 20. Calculate the remainder when ((-6)/5)/(h/135) is divided by l.
2
Let q(a) = a**2 - 8*a - 18. Let o be q(-2). Suppose 3*h = 3*k - 45, -3*k + 17 = -o*h + 6*h. Calculate the remainder when 21 is divided by k.
10
Let v = 2311 - 1787. Calculate the remainder when v is divided by 7.
6
Let f(r) = -r**2 - 8*r + 2. Let z be (4 - (-111 + -4)) + 16/4. Suppose 4*h - 4*d - z = 125, -3*d + 124 = 2*h. What is the remainder when h is divided by f(-7)?
8
Let h = -553 + 543. Let r(n) = -n**2 - 27*n - 16. Calculate the remainder when r(h) is divided by 53.
48
Suppose -4*m + 3*p = 28, 13*m - 12*m + 26 = -4*p. Let z(j) = -j**2 + 2*j + 127. What is the remainder when 145 is divided by z(m)?
5
Calculate the remainder when (4/(-2) + 0)*22/((-352)/8664) is divided by 536.
11
Suppose 4*z + 244 = 8*z. Let k = 55 - z. Let d(a) = -a**3 - a**2 + 9*a + 3. Calculate the remainder when d(k) is divided by 22.
19
Let t = -132 + 143. Suppose 0 = -0*l - t*l + 165. Let x(y) = 5*y - 7. What is the remainder when x(7) is divided by l?
13
Suppose 12*z - 15 = 13*z. Let t = 51 - z. Suppose -3*r - t = -5*r. What is the remainder when r is divided by 14?
5
Suppose -435 = -5*i + 5*b + 220, -3*i + 389 = b. What is the remainder when i is divided by 109?
21
Let j = -59 - -62. Suppose 5 = j*o - 2*o. Suppose -4*i = 3*w - o*i - 44, 2*w - 6 = -4*i. Calculate the remainder when 49 is divided by w.
10
Let l(i) = -664*i + 9326. Calculate the remainder when 43917 is divided by l(14).
27
Suppose -2345 + 23219 = 71*j. Calculate the remainder when j is divided by 23.
18
Let k(n) = 70*n**2 + 35*n + 45. Calculate the remainder when k(-4) is divided by 103.
98
Suppose -122*p + 32*p = 76*p - 3652. Calculate the remainder when 72 is divided by p.
6
Let p be 4 + 0 + -8 - (-1 + 1083). What is the remainder when p/(-4)*(-14)/(-21) is divided by (-43)/(-9) + -5 - (-119)/9?
12
Suppose -m - 3 = -3*j, j - 3*j + 4*m = -12. Suppose 2*a - 8*a + 96 = j. Let y = -226 + 282. Calculate the remainder when y is divided by a.
8
Let x be (6/24)/(14/712)*7. Suppose 87*s = 5*q + x*s - 2381, 0 = -4*q - s + 1903. Calculate the remainder when q is divided by 30.
25
Let b be 9/(-1*5/45). Let m = b + 72. What is the remainder when (-12)/m*(58 - 4) is divided by 26?
20
What is the remainder when 12247 is divided by (-4620)/(-99) - (-30)/9?
47
Let a(o) = -17*o - 108. Let c be a(-8). What is the remainder when 87 is divided by (-1135)/(-35) - c/(-49)?
21
Let k(i) = 4*i**2 - 8*i - 15. Let g be k(-2). Suppose -120 = -g*m + 135. What is the remainder when (-6)/2*(-40)/3 is divided by m?
10
Calculate the remainder when 88/28 + -3 + -3 + (-11030)/(-14) is divided by 133.
120
Let w be (-25)/(-175) + (-181)/(-7). Let a(b) = -28 + b**2 + 37 + w - 7*b. What is the remainder when a(7) is divided by 9?
8
Let l(t) = t**3 + 151*t**2 + 283*t - 1754. What is the remainder when l(-149) is divided by 75?
31
Let q = 7099 - 6122. What is the remainder when q is divided by 21?
11
Suppose 58 + 1642 = 25*t. Calculate the remainder when 511 is divided by t.
35
Suppose -4*q + 36 = 44. What is the remainder when 66 is divided by (-6 - (-1165)/40) + q/16?
20
Let b = -41462 - -41482. Suppose -m + 368 = 3*m + 4*f, -5 = f. What is the remainder when m is divided by b?
17
Let q(y) = -28*y - 3845. Let j(k) be the first derivative of -3*k**4/4 + k**3/3 + k**2/2 - 2*k - 3. Calculate the remainder when q(-139) is divided by j(-2).
23
Let g(o) = 43*o + 751. What is the remainder when g(59) is divided by 47?
45
Suppose 13*x - 445 = 1427. Suppose -5*v + z = -x, 2*v + z = v + 30. Calculate the remainder when 166 is divided by v.
21
Suppose 24*j = 15*j + 648. Let m = 148 - j. Calculate the remainder when m is divided by 14.
6
Suppose -u - 7*q = 1211 - 1545, -716 = -2*u - 2*q. Let k(c) = 5*c - 2. Calculate the remainder when u is divided by k(3).
11
Let b be 9/3 + -3*1. Suppose -l + 167 = 2*p - 105, -l - 4*p + 268 = b. Calculate the remainder when 33 is divided by l/15 - 10/25.
15
Suppose -4*f - h = -107, 5*f - 2*h + 0*h = 124. Let l = 184 + f. Calculate the remainder when l is divided by 65.
15
Suppose 54*r = 254 + 718. What is the remainder when 71 is divided by r?
17
Let m be -33 + 0*(-3)/6. Let p = m + 65. Calculate the remainder when p is divided by 9.
5
Suppose 5*l = -5*z + 180, -z - 60 = -3*l + 32. Calculate the remainder when 7998 is divided by l.
30
Let l(h) = -h**2 + 32*h + 27. Let y be l(16). Suppose 6*i - y - 461 = 0. What is the remainder when i is divided by 43?
38
Let v = 4484 + -4413. Calculate the remainder when 371 is divided by v.
16
Suppose -l + 5*m = -11, 12*l - 4*m = 5*l + 201. What is the remaind
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 1299629 and 79?
79
Calculate the highest common factor of 79228 and 7424.
116
Calculate the greatest common factor of 731 and 3225.
43
Calculate the highest common divisor of 1040 and 10266360.
520
What is the greatest common divisor of 143 and 27731?
11
What is the highest common divisor of 1041775 and 175?
175
Calculate the greatest common factor of 734452 and 32.
4
What is the greatest common divisor of 7976219 and 19?
19
What is the greatest common factor of 13559 and 7?
7
Calculate the greatest common divisor of 196 and 109144.
28
What is the highest common factor of 43330 and 1085?
35
What is the greatest common factor of 2205571 and 3711?
1237
What is the greatest common divisor of 8215 and 4505?
265
What is the highest common factor of 8173 and 176?
11
What is the greatest common factor of 44 and 8756?
44
What is the greatest common divisor of 4662 and 468?
18
Calculate the highest common divisor of 1431 and 42.
3
Calculate the highest common factor of 14 and 773311.
7
Calculate the highest common factor of 169 and 5447.
13
What is the highest common divisor of 845 and 63830?
65
Calculate the highest common factor of 2504 and 41320.
8
Calculate the highest common factor of 1188568 and 1616.
808
What is the greatest common divisor of 488 and 5000?
8
What is the greatest common factor of 12192 and 7152?
48
Calculate the highest common divisor of 1974 and 81357.
141
Calculate the highest common factor of 11032 and 1008.
56
What is the highest common divisor of 140 and 1943880?
20
Calculate the highest common divisor of 1230 and 54858.
246
Calculate the greatest common factor of 1739 and 799.
47
What is the greatest common divisor of 20049 and 326?
163
What is the greatest common divisor of 212 and 163770?
106
Calculate the highest common divisor of 4900 and 595.
35
What is the greatest common divisor of 43362 and 44?
22
Calculate the highest common factor of 385 and 45023.
11
What is the greatest common factor of 1661 and 10014169?
1661
Calculate the greatest common divisor of 568 and 1192.
8
Calculate the highest common factor of 50028 and 264.
132
What is the greatest common factor of 86394 and 176?
22
What is the greatest common factor of 27307 and 45073?
329
What is the greatest common divisor of 260 and 914420?
260
What is the highest common factor of 162242 and 782?
46
What is the greatest common factor of 515 and 3270?
5
What is the greatest common factor of 152438 and 369?
41
What is the greatest common factor of 544400 and 320?
80
What is the greatest common factor of 408 and 1930452?
204
What is the highest common divisor of 5592 and 6846006?
1398
Calculate the greatest common divisor of 905 and 1055.
5
What is the highest common factor of 20 and 6701780?
20
Calculate the highest common factor of 16704 and 158166.
522
What is the highest common factor of 24 and 1257976?
8
Calculate the highest common divisor of 8 and 36648.
8
Calculate the greatest common factor of 102488 and 368.
184
What is the greatest common factor of 19 and 334989?
19
What is the greatest common factor of 135 and 369?
9
Calculate the highest common factor of 195 and 29589.
3
What is the highest common divisor of 19110 and 3402?
42
What is the greatest common factor of 9984 and 4641?
39
Calculate the greatest common factor of 44 and 6011478.
22
What is the greatest common divisor of 1271 and 2419?
41
Calculate the greatest common divisor of 27339 and 104.
13
What is the highest common divisor of 55230 and 343?
7
What is the highest common divisor of 15 and 812745?
15
Calculate the greatest common factor of 1092 and 903.
21
What is the highest common factor of 927 and 1956897?
927
Calculate the greatest common divisor of 131 and 113053.
131
What is the highest common factor of 152 and 15672?
8
Calculate the highest common factor of 48 and 240984.
24
What is the highest common factor of 4152 and 4?
4
Calculate the highest common divisor of 2635 and 465.
155
Calculate the highest common factor of 17760 and 15860.
20
Calculate the highest common factor of 1315 and 11520.
5
Calculate the highest common divisor of 5146 and 930.
62
What is the greatest common divisor of 518160 and 272?
272
What is the highest common divisor of 97 and 4748635?
97
What is the highest common divisor of 36133 and 168097?
1571
What is the highest common factor of 8793 and 9?
9
What is the greatest common divisor of 28512 and 738?
18
What is the highest common divisor of 63 and 439467?
21
What is the greatest common factor of 5909 and 703?
19
Calculate the highest common factor of 5185732 and 802.
802
What is the greatest common factor of 103558 and 182?
182
Calculate the greatest common factor of 1256644 and 8.
4
What is the greatest common divisor of 1378 and 139602?
106
Calculate the highest common factor of 117 and 17173.
13
Calculate the greatest common factor of 400 and 1325200.
400
What is the greatest common factor of 5412 and 36?
12
Calculate the greatest common factor of 60 and 2094.
6
What is the highest common divisor of 138020 and 560?
20
What is the greatest common factor of 2724 and 9042?
6
Calculate the highest common factor of 28260 and 900.
180
Calculate the greatest common divisor of 60 and 9490.
10
What is the greatest common factor of 335321 and 7?
7
What is the greatest common factor of 245 and 301595?
245
What is the highest common divisor of 1288 and 881153?
161
What is the greatest common divisor of 30919 and 245?
49
Calculate the highest common factor of 4959 and 5472.
171
What is the highest common factor of 61776 and 520?
104
What is the highest common divisor of 4024095 and 295?
295
What is the greatest common factor of 1481992 and 1734?
578
Calculate the greatest common divisor of 24940 and 43430.
430
Calculate the highest common factor of 49501 and 16697.
59
Calculate the greatest common divisor of 107 and 158574.
107
What is the greatest common factor of 316 and 25517?
79
What is the highest common divisor of 63657 and 297?
99
Calculate the greatest common divisor of 8496 and 18864.
144
Calculate the highest common divisor of 84 and 8988.
84
What is the highest common divisor of 176 and 23984?
16
Calculate the highest common factor of 26 and 913861.
13
What is the highest common divisor of 23439 and 12714?
39
What is the highest common factor of 14763 and 9975?
399
Calculate the highest common factor of 2922 and 210.
6
Calculate the greatest common divisor of 126 and 997110.
18
What is the greatest common divisor of 306 and 2907?
153
Calculate the greatest common divisor of 13000 and 425.
25
What is the highest common factor of 108 and 5472?
36
Calculate the highest common factor of 4084116 and 12.
12
Calculate the highest common divisor of 1496 and 9656.
136
Calculate the highest common factor of 17116 and 66.
22
Calculate the greatest common factor of 204 and 222428.
68
What is the greatest common divisor of 103268 and 110?
22
Calculate the highest common divisor of 74306 and 318.
106
What is the greatest common divisor of 182917 and 21?
7
Calculate the highest common divisor of 56 and 183368.
8
What is the greatest common factor of 2208 and 832?
32
Calculate the highest common factor of 3852 and 4293.
9
Calculate the highest common divisor of 59900 and 500.
100
What is the highest common divisor of 23272 and 8?
8
What is the highest common factor of 2895 and 33750?
15
What is the highest common divisor of 345835 and 410?
205
Calculate the greatest common factor of 14748 and 5484.
12
Calculate the greatest common divisor of 318 and 45686.
106
What is the greatest common divisor of 1672 and 6574?
38
Calculate the greatest common divisor of 72 and 270252.
36
What is the highest common divisor of 1086231 and 381?
381
Calculate the greatest common divisor of 105586 and 31.
31
What is the greatest common divisor of 59871 and 462?
21
Calculate the highest common divisor of 30 and 10488615.
15
Calculate the greatest common factor of 378 and 3861.
27
Calculate the greatest common factor of 13188 and 3612.
84
What is the greatest common divisor of 72 and 9336?
24
Calculate the highest common factor of 15993 and 9.
9
What is the greatest common divisor of 13165 and 1385?
5
Calculate the greatest common factor of 181 and 995681.
181
What is the grea
|
{
"pile_set_name": "DM Mathematics"
}
|
s).
2
Let c = 15 + -12. Suppose 4 = d - c*d. Let b(w) = -38*w + 23. Let p(f) = -13*f + 8. Let s(j) = 6*b(j) - 17*p(j). Determine s(d).
16
Let w(d) = d**2 - 2*d - 2. Let t be w(-1). Let l(y) = 1 + 0 + t + 4*y. Determine l(-3).
-10
Let q(l) = 2*l**3 - 3*l**2. Let m be 5 - ((-5)/((-30)/6) + 2). Give q(m).
4
Let u(j) = -3*j - 3*j**2 + 2*j + j**3 + j**3 + 2. Let q be 1/6 - (-61)/(-6). Let d be 4/(-10) + (-24)/q. Give u(d).
4
Let r be (23 - 22)/(-2 - 13/(-7)). Let l(g) = -g**2 - 5*g + 8. Determine l(r).
-6
Let b(s) = -s**3 + s + 5. Suppose -3*j + 5*i - 3*i - 6 = 0, 6 = -4*j + 2*i. Determine b(j).
5
Let l(b) = -42*b + 46. Let m(y) = 13*y - 14. Let p(t) = -3*l(t) - 10*m(t). Give p(10).
-38
Suppose -r - 3*r = 12. Let f(j) = -16*j - 82. Let u(d) = 9*d + 51. Let i(y) = -5*f(y) - 8*u(y). Calculate i(r).
-22
Let n(b) = 23*b - 17. Let k(y) = 8*y - 6. Let d(c) = -17*k(c) + 6*n(c). Suppose 2*v + 3*a = v + 3, 2*a + 24 = -5*v. Let f be 12/(-3) + (-3 - v). Calculate d(f).
-2
Suppose -3*c = -4*j - 10, -4*j + 4*c - 7*c + 2 = 0. Let w(t) = 10*t. Determine w(j).
-10
Let q(y) = y - 1. Suppose 13 = -3*c + 3*t + 4, c - 5*t = 5. Give q(c).
-6
Let j(i) = -i**2 - 2*i + 5. Let m(b) be the second derivative of -b**3/6 + 4*b**2 - 6*b. Let o be m(8). Suppose 3*c - c + 8 = o. Calculate j(c).
-3
Let i(y) = 40*y**3 + 2*y + 1. Let p(r) = -2*r + 13. Let z be p(7). Give i(z).
-41
Suppose 5*p - 5*f - 27 + 162 = 0, -p + 3*f = 35. Let s(q) = q**3 + 24*q**2 + 24*q + 22. What is s(p)?
-1
Suppose -s - 3*s = 2*f + 28, 4*f + 32 = -2*s. Suppose -3 = -6*x + 9*x. Let j be f/(-6) + 1*x. Let t(o) = -o**3 - o**2 + o - 7. Give t(j).
-7
Let x(q) = 0 + 10*q - 7*q - 8. Calculate x(2).
-2
Let s(q) = -q**2 - 8*q - 5. Suppose n - 25 = 4*f, 4*f + 10 - 255 = -5*n. Suppose -n = 2*z - 29. Give s(z).
-5
Let c(y) be the third derivative of y**5/60 + y**4/3 + 8*y**3/3 - 344*y**2. Give c(-6).
4
Suppose -32 = 8*k - 7*k. Let f = k - -31. Let g(c) = -3*c**2 + 2*c. Let z(o) = 4*o**2 - 2*o. Let w(b) = -5*g(b) - 4*z(b). Give w(f).
1
Let q(f) = 2*f - 2. Let m(t) = -t**2 + 13*t - 7. Let k(z) = -m(z) + 6*q(z). What is k(5)?
15
Let g be (36/2)/(96/12 - 10). Let b(a) = a**3 + 9*a**2 + 2*a + 9. Determine b(g).
-9
Let o = -113 - -119. Let y(c) = -c**3 + 4*c**2 + 7*c + 1. Calculate y(o).
-29
Let c(m) = m**2 - 2*m + 10. Suppose 7*x + x = -12*x. Calculate c(x).
10
Let d(h) = 26*h - 1. Suppose -13*x + 9 = -4. Determine d(x).
25
Let t = 108 + -106. Let q(k) = -11*k - 9*k + t*k**2 + 26*k. Determine q(-5).
20
Let u(f) = -2*f + 2. Suppose -3 = -32*x + 31*x. Calculate u(x).
-4
Let x = 190 - 192. Let g(i) = -i**2 - 2*i + 2. What is g(x)?
2
Let q(i) = 5*i**3 + 2*i**2 + i. Let d(s) = 11*s**3 + 4*s**2 + 3*s - 1. Let r(p) = 4*d(p) - 9*q(p). Calculate r(-3).
-4
Let h(x) = 3*x + 20. Let t(m) = 3*m + 21. Let g(w) = 6*h(w) - 5*t(w). Give g(-4).
3
Let s(p) be the second derivative of -p**3/3 + 3*p**2/2 - 27*p. What is s(-1)?
5
Suppose -4*n - b - b = 26, 4*n + b = -29. Let c(o) = o**2 + 9*o - 8. Calculate c(n).
-16
Let z(w) be the first derivative of -w**3/3 - 5*w**2/2 + 2*w + 215. Calculate z(-6).
-4
Let s(d) be the first derivative of -d**3 - 2*d**2 - 4*d + 297. What is s(-4)?
-36
Suppose 3*z - 5*z = 0. Let b(t) = -2 + z + 4 - 3*t + 2. Suppose h - 1 = 4. What is b(h)?
-11
Let r(d) be the first derivative of -d**2/2 - 6*d + 750. Let t = -16 + 10. Give r(t).
0
Suppose 2*y - 10 = -2*s, 15 = 3*s + 3*y - y. Suppose s = 8*n - 3*n. Suppose -n = 7*i - 6*i. Let j(g) = -5*g**3 + g**2 + g. Give j(i).
5
Let r(t) = t**3 + 4*t**2 - 3*t - 6. Let h be 424/40 + 3/(-5). Let p = 3 + -1. Suppose 2*i + 2*k + 0 = -2, -4*i = p*k + h. Give r(i).
6
Let y(k) = k**2 + 13*k - 19. Let p(a) = -15*a**3 - a**2 + 47*a - 46. Let d be p(1). Give y(d).
11
Let k = -2 - -8. Let s(p) = -2*p**3 + 4*p**2 + k - 2 - 3*p - 2. Let z(q) = -11*q - 42. Let w be z(-4). What is s(w)?
-4
Let w(k) = 14*k + 171. Let z be w(-12). Let x(q) = -2*q**2 + 2*q - 2. Calculate x(z).
-14
Let o(i) = 5*i + 4. Let q(t) = 6*t + 5. Let z(r) = 4*o(r) - 3*q(r). Suppose 0 = 2*f - 171 + 165. What is z(f)?
7
Let s be (34/(-8) + 4)/(1/(-4)). Let u(k) = -k**2 + k. Let z(q) = -4*q**2 + 3*q. Let c(o) = -3*u(o) + z(o). Calculate c(s).
-1
Let g(c) be the third derivative of 0*c**3 + c**2 + 1/15*c**5 + 0 + 0*c + 1/120*c**6 + 1/24*c**4. Calculate g(-4).
-4
Let l(k) be the third derivative of -k**5/60 + k**4/24 + 2*k**3/3 - k**2 - k. Calculate l(4).
-8
Let i(a) be the first derivative of -a**4/4 - a**3/3 + 3*a**2/2 + 2*a + 8. Suppose 3*t - d + 3*d - 40 = 0, 10 = 3*t - 4*d. Let s = t + -12. Determine i(s).
0
Let m = -6 - -10. Let p(h) be the first derivative of h**5/60 - 5*h**4/24 - 5*h**3/3 + 7. Let r(l) be the third derivative of p(l). Give r(m).
3
Let z(g) = 4 + 2 - 2*g - 6 - 2*g. Calculate z(-5).
20
Let q(k) = -2*k - k**2 - k**2 - 10 + 22 - 13 + 8*k**3. Let y = -15 - -14. Determine q(y).
-9
Let p(j) = -2*j + 5. Suppose 106 = -3*s - 2*s - 4*h, -4*s + 5*h = 93. Let z = -17 - s. Give p(z).
-5
Let v = -532 - -540. Let y(f) = 2*f + 8. What is y(v)?
24
Let h(s) = s**2 - 3*s + 3. Let j(d) = 2*d + 4. Let v(l) = -h(l) + 4*j(l). What is v(12)?
1
Let t = -20 + 20. Let q(w) = t*w + 0*w + w - 1 + 2*w. Determine q(3).
8
Let f(w) = -13*w + 1. Let g(d) = -7*d + 1. Let s(p) = -6*f(p) + 11*g(p). Calculate s(-9).
-4
Suppose 22 = -2*g - 2*w, -w = w + 10. Let t(r) be the first derivative of r**4/4 + 5*r**3/3 - 7*r**2/2 - 4*r + 258. Determine t(g).
2
Let a(o) = -5*o - 16. Let g be a(-4). Suppose 2*k - 8 = g. Let s(x) = -x**2 + 8*x - 5. Determine s(k).
7
Let y = 104 - 103. Let o(d) = 20*d**3 + d**2 - 1. Determine o(y).
20
Let f(j) = 6*j + 3. Let d be ((-8)/(-24))/((-2)/(-12)). Let s be d/9 + (-180)/81. Calculate f(s).
-9
Let v(m) be the second derivative of m**5/20 + 5*m**4/6 - 5*m**3/3 + 7*m**2 + 2*m + 7. Give v(-11).
3
Let j be ((-84)/(-70))/(3/10). Let d(g) = g**2 - 6*g + 1. Let o be d(j). Let y(n) = n**3 + 8*n**2 + 5*n - 6. Calculate y(o).
8
Let m(w) = -w**3 + 6*w**2 - 2*w - 3. Let a be 4*-3*3/(-9). Calculate m(a).
21
Let h(f) be the first derivative of f**4/4 + 7*f**3/3 - f**2/2 - 7*f - 211. Give h(-7).
0
Let h(b) = -b**2 + 7*b + 1. Let g be h(7). Let x = -60 - -62. Let k(w) = -14*w**2 + 1 - 5*w**2 - 2*w**3 - w + 18*w**x. What is k(g)?
-3
Let z(h) = h**2 + 4*h - 6. Suppose -4*s + 2*w + 34 = 0, 0*s = s - 4*w - 26. Suppose -2*x - 23 = 5*k, 0*k - s = k - x. Calculate z(k).
-1
Let d(c) be the second derivative of 3*c**3 - c**2/2 - 106*c. Let j(h) = h + 4. Let u be j(-5). Give d(u).
-19
Let o(v) = v**3 - v**2 + v - 1. Let j(i) = -2*i**3 + 7*i**2 - 3*i - 2. Let q = 0 - -3. Let a(w) = q*o(w) + j(w). Determine a(-4).
-5
Let n(f) = -f**2 + 4*f - 7. Let b be n(3). Let w(k) = -8*k - 8. Let i be w(b). Suppose 9 = 3*j + i. Let q(m) = m**2 + 5*m - 7. What is q(j)?
-7
Let z(m) = m**3 + 2*m**2 + 3*m + 2. Let v be z(0). Let h(s) be the first derivative of -v*s**2 + 1/3*s**3 - 5*s + 5. Determine h(6).
7
Let i(m) = -m**2 + 5*m + 18. Let c be i(7). Let a(y) = -3*y - 5. Calculate a(c).
-17
Let r(o) = 5*o - 2. Let w(s) be the second derivative of s**3/6 - s**2/2 + s. Suppose 0 = k - 358 + 352. Let j(q) = k*w(q) - 2*r(q). Determine j(2).
-10
Let w = -1 + -1. Let k = -1 - w. Let d(p) = 238*p + 3*p**2 + 51*p - 288*p. What is d(k)?
4
Let c(w) = w + 4. Suppose 4*n + 20 = 5*t - 439, -2*n - 237 = 5*t. Let p be (-12)/90 + n/30. Determine c(p).
0
Let j(f) = f**3 - f**2 - 1. Let a be -9*(-4 + 5 + 15/(-9)). Let c(w) = 2*w**3 + 8*w**2 + w + 6. Let g(o) = a*j(o) + c(o). Give g(-1).
-7
Let g(y) be the first derivative of y**3/3 - 3*y**2 - 10*y - 5. Suppose 22*t + 5*s - 24 = 20*t, -4*s = -4*t + 20. Determine g(t).
-3
Suppose 0 = -3*o + 3 + 15. Let l(p) = p. Let u(m) = m - 1. Suppose 0 = 2*j + 5*c - 13, -4*j - 1 + 12 = -5*c. Let i(g) = j*l(g) - 3*u(g). Give i(o).
9
Let m be 1*(4 - (-12)/(-4)). Let u be ((-1)/(-2))/(4/16). Let v(h) = h**u + h**2 - h**2 - h. Calculate v(m).
0
Let w(s) = s**3 - 3*s**2 + s. Let a = 28 - -3. Suppose 3*u - f - 19 = 0, -3*u = f - 5*f - a. Suppose -3*d = -u*d + 4. Determine w(d).
-2
Let i(y) = -y**3 + y**2 - y - 1. Let u(n) = -5*n**3 - n**2 + 2*n - 18. Let o(v) = 4*i(v) - u(v). What is o(-6)?
14
Let d(t) = -t + 13. Let s = -228 - -237. Give d(s).
4
Let b(c) = 11*c + 10. Let s(d) = -20*d - 19. Let z(h) = -11*b(h) - 6*s(h). Suppose -o + 17 = -w
|
{
"pile_set_name": "DM Mathematics"
}
|
186901)/37388). Let t = r + 176/9. Find the common denominator of 27/5 and t.
5
Let f = -1890 - 62. Let l = f + 3457. What is the common denominator of -1 - -1 - (l/(-231) - -4) and -28/15?
165
Let i = 46 + -42. Suppose 208 = 9*k + i*k. What is the smallest common multiple of k and 154?
1232
Let g = -261221 - -67395137/258. What is the common denominator of g and -71/903?
1806
Let r = 80 + -124. Calculate the common denominator of 40/33 and 4/r*(-960)/(-36).
33
Let m(n) = -n**3 + 4*n**2 + 12*n + 12. Let o be m(6). Let w(z) = -5*z + 64. What is the lowest common multiple of w(o) and 6?
12
Let u be (-15 - -1)/(-1) + 5. Calculate the common denominator of (-159)/u*16/144 and -139/18.
342
Suppose -6900*i + 116098 = -6875*i + 2098. Calculate the least common multiple of i and 4560.
4560
Calculate the smallest common multiple of 32*((-208)/(-13))/2 and 640.
1280
Let g be (-2 + 8/5)/(1/(-10)). Suppose 2*z + 44 = x, g*x - 2*x - 76 = z. Calculate the common denominator of -163/30 and (3/(-90))/(-1 - x/(-37)).
30
Let p = 528/79 - 5326/395. Find the common denominator of -31/909 and p.
4545
Let h = 36329/557172 + -2/5159. Calculate the common denominator of 59/24 and h.
216
Calculate the lowest common multiple of 400 and ((-63)/6)/((1674/(-900))/31).
2800
Suppose 4*f + 8 = -2*j - 4, 0 = -4*f - 20. Let t be (-75 - (-2 + 7))*j. What is the common denominator of 71/40 and 390/t + 0/(-2)?
160
Find the common denominator of (866/18)/((-15910)/120) - 1/(-3) and 93/296.
12728
Calculate the lowest common multiple of ((-28)/630*-30)/(268/(-270) + 1) and 312.
4680
Let p = 244893290664074333/1637704 + -149534525570. Let a = -6/4993 - p. Let y = -13141/2296 + a. Calculate the common denominator of y and 8/5.
35
Let s = -3 - -8. Let u = 1674 + -1629. Calculate the lowest common multiple of u and s.
45
Suppose 3*y + 88 = -4*m, -6*m + 3*y = -3*m + 87. Find the common denominator of 1 + ((-5050)/(-36))/m and -33/20.
180
Let l(j) = 2*j + 58. Let b be l(-28). Suppose m = 3*c - 58, -b*m - 9 = -c + 2. Suppose 4*x - 3*x = 6. Calculate the least common multiple of c and x.
42
Calculate the common denominator of 487/(-65) - -2 - (-8 + 10/5) and 18/6025.
78325
Let n = 1305 - 782. Let a = n - 338. Suppose 13*t - a = 49. Calculate the lowest common multiple of 48 and t.
144
Suppose -10*i = -45*i + 11*i + 8880. What is the smallest common multiple of i and 11?
4070
Suppose 2*u + 2026 = -200*s + 204*s, -1523 = -3*s - 2*u. What is the lowest common multiple of s and 195?
2535
Suppose 3*n = -5*b + 27, 0 = -4*b - 2*n + 8 + 12. Suppose -b*u - 3 = 5*i, 2*u + 0*u + 1 = -3*i. Calculate the smallest common multiple of u and 34.
68
Suppose -15*q = -10*q - 360. Calculate the smallest common multiple of (-12)/30 - q/(-5) and 836/171 - (-2)/18 - -17.
154
Let i = 60725035 - 123149966053/2028. Let x = -599/3 + i. Find the common denominator of -23/10 and x.
3380
Let i = -2695 + -5197. Let u be 5 - 828085/(-105) - (4 - 2). Let h = i + u. Find the common denominator of h and 11/24.
168
Let v(b) = 5*b**3 - 14*b**2 - 18*b + 108. What is the smallest common multiple of 8 and v(10)?
3528
Suppose -2*c = 4*s - 2520, 0 = 4*c - 5*s - 6182 + 1064. What is the smallest common multiple of 30 and c?
6360
Let w be (-2)/14 - 29/(-7). What is the lowest common multiple of (-7 - (-18)/2)/((-2)/(-4)) and ((-12)/7)/(w/(-14))?
12
Let y = 244 + 33. Let d = y + -1011/4. Find the common denominator of d and (((-42809)/(-780))/(-37))/(1/(-3)).
20
Let q = 23 + 0. Suppose q*v - 24*v + 8 = 0. Suppose -15 = 3*k - v*k, 0 = -o - 5*k + 25. What is the smallest common multiple of 7 and o?
70
Suppose 0 = 2*m + m - 270. Suppose p = -4*p + m. What is the lowest common multiple of p and (3 - 24)*134/(-469)?
18
Let g = -294617/145230 + 429/206. Find the common denominator of -73/45 and g.
2115
Let u be (-12)/(-4) - (-3696545)/(-2060730). Let l = u - -1/6542. What is the common denominator of l and 64/33?
693
Let o(a) = 0*a**2 + 2*a**2 + 5*a + 3 - 6. Suppose -286*v = -272*v - 140. Calculate the lowest common multiple of v and o(-5).
110
Suppose 4 = -4*o + 5*o. Suppose -5*s + 1200 = -5*x, x - s + 210 = -6*s. Let w = -135 - x. What is the lowest common multiple of o and w?
100
Let u = -519877/28 - -18563. Find the common denominator of -9/28 and u.
28
Calculate the least common multiple of 175 and (-3 - 15 - 19)*(0 + -35).
6475
Let t = -164827 + 232123. Suppose -4*y + t = -2*z, 5 = 4*z - 3. Let b = y + -336433/20. Find the common denominator of b and -57/22.
220
Suppose 2*p - 4*d - 2126 = 1422, -3*d = 2*p - 3534. Calculate the least common multiple of p and 99.
58410
Let t(x) = -13*x - 10. Let p be t(-2). Let c be (-72)/p*(-22)/3. Find the common denominator of -47/2 and c/(-34) - (-3 - (-2 - 2)).
34
Let c = -14115/1108 + -3/277. Find the common denominator of c and 345/100 + 226/(-3955).
28
Suppose -342*j = -328*j - 616. Suppose v - 6*v + 36 = 2*t, 3*v - 22 = -t. Calculate the smallest common multiple of v and j.
88
Let h = -15 + 20. Suppose 226 = h*u + 2*o, 5*o = -3*u + 66 + 81. Let x = u + -38. Calculate the lowest common multiple of 54 and x.
54
Let f be ((-8)/3)/((-2)/(-57)). Let r = 1453 + -1450. What is the common denominator of 5 - 9 - r/9*f and -7/24?
24
Suppose 3*m + 49 = 10*m. Calculate the common denominator of 107/36 and m + 178/(-24) - 2.
36
Let y = -1039/337 - -31171/6066. Let r = -1 - 3. Calculate the common denominator of y and (-121)/10 - r/(-10).
18
Let z = -51 + 62. Let t = 38 - 39. Calculate the smallest common multiple of (-2)/8*t + (-55)/(-20) and z.
33
Let a = 36 - -26. Suppose -2*s - 5*p = -30, -3*s = p - 2*p - 62. What is the least common multiple of a and s?
620
Let w = 10169521/38390 - 2649/10. Let t = -31067/23034 + w. Find the common denominator of 1/10 and t.
330
Let z(b) = 6*b - 38. Let f be z(6). Let d = -2/151 - -6497/302. Find the common denominator of f*15/(-56) - (-28 + 27) and d.
28
Suppose -20*o + 50 = -15*o. What is the lowest common multiple of o and (3 - 5 - -8)/(90/60)?
20
Suppose -30*g + 57 = -27*g. Suppose -g*d = -22*d + 117. Find the common denominator of 12/10*(-1)/((-120)/d) and -117/10.
100
Suppose z + 4*n - 124 = 0, -12*n + 42 = -6*n. What is the lowest common multiple of z and 348?
2784
Calculate the smallest common multiple of 15 and (61 + -33)*-1*225/(-12).
525
Let o(i) = -2*i**2 - 29*i - 22. Let a be o(-14). Find the common denominator of 59/10 and (-1)/(4 + 12/a).
10
Let d = -732 - -753. Let u(s) = -s**3 - 6*s**2 - 5*s - 3. What is the smallest common multiple of u(-6) and d?
189
Let a be (0 - 1/3) + (-281 - -5). Let x = a + 1789/6. What is the common denominator of x and (-115)/18 + 2 - 1?
18
Let g(f) = -f - 2. Let y be g(5). Let a(s) = s**3 - 41*s**2 + 15. Let l be a(41). Let m = l - y. What is the least common multiple of 8 and m?
88
Suppose 0 = j - 5*t - 26 + 3, -3*j - 11 = 5*t. Calculate the smallest common multiple of -111*(-3 + (1 - -1)) and j.
111
Let r = 65 + -65. Suppose r = 22*k - 262 - 266. Calculate the least common multiple of 24 and k.
24
What is the lowest common multiple of 119*7 - 15/((-150)/70) and 27?
7560
Let j(n) be the second derivative of -2*n**3/3 + 37*n**2/2 + 2*n. Calculate the least common multiple of 40*(-2 + 24/10) and j(8).
80
Let m = 5 - 5. Let w = 14 - m. Let s(p) = -10*p**3 - 4*p**2 - 6*p - 2. Calculate the least common multiple of w and s(-1).
70
Let w = 5739 + -5715. Calculate the smallest common multiple of (-4)/(-6)*(10 + 2) and w.
24
Let l(u) = 16*u**2 + 9*u - 11. Let w be l(3). Calculate the common denominator of 47/10 and w/(-64)*(-346)/210.
210
Let o(l) = l + 74. Let r be ((-9)/27)/(614/(-123) - -5). Suppose -2*a - 75 = -0*v - 3*v, 0 = a - 3. What is the lowest common multiple of o(r) and v?
297
Find the common denominator of (-962)/296*(-22)/(-300) and 37/120.
600
Let w = -4 + 0. Let h be 4 + -5 + (-4)/w. Calculate the lowest common multiple of 5*-3*(h - 2/3) and 8.
40
Let c = -1373958/151 + 9099. Let x = -5763/2114 + c. Find the common denominator of 436/(-32) + 3/2 and x.
56
What is the least common multiple of 110 and (-12)/14*490/(-14)?
330
Let v = 46 + -44. Suppose -2*o + 42 = 2*t, -v*o + 0*t - 3*t = -44. Let h = o - 15. Calculate the smallest common multiple of 6 and h.
12
Let n be 41/(-4) + 15/12 + -2. What is the lowest common
|
{
"pile_set_name": "DM Mathematics"
}
|
1/15
Three letters picked without replacement from {l: 2, d: 2, i: 6, p: 2}. Give prob of sequence ppl.
1/330
Two letters picked without replacement from nnpnpnnnnnppnn. What is prob of sequence nn?
45/91
What is prob of sequence oa when two letters picked without replacement from {t: 1, o: 1, a: 1}?
1/6
Three letters picked without replacement from uzcay. What is prob of sequence zzc?
0
What is prob of sequence pap when three letters picked without replacement from {p: 3, d: 5, v: 4, a: 4}?
1/140
Calculate prob of sequence uil when three letters picked without replacement from lulljji.
1/70
Two letters picked without replacement from tooqnaaqonqoqtqtqqqo. Give prob of sequence oa.
1/38
Two letters picked without replacement from aaaaaaa. Give prob of sequence aa.
1
What is prob of sequence ir when two letters picked without replacement from {i: 2, m: 1, r: 1}?
1/6
What is prob of sequence bt when two letters picked without replacement from qtwwwwtvvvbwvwwwwv?
1/153
What is prob of sequence xgy when three letters picked without replacement from yxxpgcpyr?
1/126
Two letters picked without replacement from xajadaaaa. What is prob of sequence aj?
1/12
Four letters picked without replacement from {q: 1, x: 7, b: 4, l: 3, d: 1}. What is prob of sequence dbqb?
1/3640
Four letters picked without replacement from wbbjbwwbjwwew. Give prob of sequence wjbb.
6/715
Calculate prob of sequence oa when two letters picked without replacement from afoofpocfcs.
3/110
Calculate prob of sequence nnp when three letters picked without replacement from {v: 6, n: 10, p: 2}.
5/136
Calculate prob of sequence xxav when four letters picked without replacement from xxxaxxvxvxaxxx.
15/1001
What is prob of sequence hp when two letters picked without replacement from {r: 1, h: 1, p: 1}?
1/6
What is prob of sequence imgm when four letters picked without replacement from {g: 4, i: 3, m: 2}?
1/126
Two letters picked without replacement from llulluuqlilqlllqiq. Give prob of sequence uu.
1/51
Two letters picked without replacement from gizgszgcgzgz. What is prob of sequence gs?
5/132
Two letters picked without replacement from {p: 1, d: 1, s: 1, m: 1, u: 1}. Give prob of sequence md.
1/20
Calculate prob of sequence xe when two letters picked without replacement from jxxkkjxkxxkkkkexx.
7/272
Two letters picked without replacement from hczhhhqhz. What is prob of sequence cq?
1/72
Three letters picked without replacement from {h: 1, q: 1, l: 1, d: 1, t: 1}. Give prob of sequence lhq.
1/60
What is prob of sequence ei when two letters picked without replacement from {e: 2, i: 2, b: 11}?
2/105
What is prob of sequence xxu when three letters picked without replacement from xbubxp?
1/60
Two letters picked without replacement from ibzbibiiiibiiibbiz. What is prob of sequence zb?
2/51
Three letters picked without replacement from iwiiiiiwiiw. Give prob of sequence iwi.
28/165
What is prob of sequence cm when two letters picked without replacement from cmf?
1/6
What is prob of sequence wvlo when four letters picked without replacement from vwklkkvkokoxkk?
1/6006
Calculate prob of sequence md when two letters picked without replacement from bdqdxbbmbqdm.
1/22
Calculate prob of sequence pp when two letters picked without replacement from {p: 4, h: 3}.
2/7
What is prob of sequence ymm when three letters picked without replacement from mymyy?
1/10
Calculate prob of sequence yyyx when four letters picked without replacement from ccyx.
0
Two letters picked without replacement from {h: 19, t: 1}. What is prob of sequence ht?
1/20
Three letters picked without replacement from ghcgvcrgvccco. What is prob of sequence vrg?
1/286
Calculate prob of sequence bb when two letters picked without replacement from {f: 15, b: 3}.
1/51
What is prob of sequence osp when three letters picked without replacement from opxszzo?
1/105
Three letters picked without replacement from bbjbxxxbbxx. Give prob of sequence jxx.
2/99
Three letters picked without replacement from {n: 1, g: 3, o: 5, p: 1, t: 1}. Give prob of sequence not.
1/198
What is prob of sequence waaw when four letters picked without replacement from aawwwaawwwwwwwwwww?
91/3060
Three letters picked without replacement from {t: 3, k: 2, p: 5, l: 1, e: 5}. What is prob of sequence ktl?
1/560
What is prob of sequence nvf when three letters picked without replacement from nnnnfnnnnnvvvnnnn?
13/1360
Calculate prob of sequence vv when two letters picked without replacement from voookdvkodnwwwk.
1/105
Calculate prob of sequence wg when two letters picked without replacement from bqqgwubz.
1/56
Two letters picked without replacement from {p: 3, w: 2, y: 6, x: 2}. Give prob of sequence yy.
5/26
Two letters picked without replacement from {i: 9, d: 2, v: 5, u: 2}. What is prob of sequence dd?
1/153
Three letters picked without replacement from {m: 2, n: 2, x: 1, i: 1, h: 1, u: 1}. What is prob of sequence nxn?
1/168
Two letters picked without replacement from vqarvvqavqqaaqa. Give prob of sequence qq.
2/21
Calculate prob of sequence yh when two letters picked without replacement from {y: 1, h: 1, u: 3}.
1/20
Three letters picked without replacement from rixqnnx. What is prob of sequence xrn?
2/105
Calculate prob of sequence kfa when three letters picked without replacement from qkakkffkfkffkff.
1/65
Four letters picked without replacement from {a: 2, l: 3, c: 3, v: 12}. Give prob of sequence lcal.
1/3230
Calculate prob of sequence od when two letters picked without replacement from dldnaod.
1/14
Four letters picked without replacement from {v: 2, a: 1, l: 3, x: 4, q: 3, t: 2}. What is prob of sequence vvxq?
1/1365
Calculate prob of sequence be when two letters picked without replacement from {b: 6, q: 6, e: 7}.
7/57
Four letters picked without replacement from sddsmmmsdstkmsktmm. Give prob of sequence stks.
1/918
Calculate prob of sequence ft when two letters picked without replacement from {v: 2, f: 1, t: 4}.
2/21
Calculate prob of sequence pjk when three letters picked without replacement from kikipjiiikjkikiiik.
1/408
Three letters picked without replacement from jtupzxpupzxjxpuuuu. Give prob of sequence xjz.
1/408
Three letters picked without replacement from {e: 3, c: 3, r: 1}. What is prob of sequence cee?
3/35
Three letters picked without replacement from vfuvyfgufyfygwffvf. Give prob of sequence gwy.
1/816
Calculate prob of sequence sss when three letters picked without replacement from sss.
1
Calculate prob of sequence zbb when three letters picked without replacement from {b: 3, z: 1}.
1/4
What is prob of sequence yy when two letters picked without replacement from wooohhyhooyo?
1/66
Three letters picked without replacement from {v: 1, x: 14}. Give prob of sequence vxx.
1/15
Four letters picked without replacement from {r: 5, e: 5}. Give prob of sequence eeer.
5/84
Three letters picked without replacement from {n: 3, r: 4, t: 1}. Give prob of sequence rnn.
1/14
Calculate prob of sequence mz when two letters picked without replacement from mzhhjzzhmhmhk.
3/52
What is prob of sequence uuiu when four letters picked without replacement from uvbiuuzuz?
1/126
What is prob of sequence dgt when three letters picked without replacement from gkktttutkuddkkdtku?
5/1632
Calculate prob of sequence uuu when three letters picked without replacement from uvvuuuuvvuvvvu.
5/52
Calculate prob of sequence xxtx when four letters picked without replacement from {t: 17, x: 3}.
1/1140
Three letters picked without replacement from ooooqroqobqobobroqqo. Give prob of sequence qrq.
1/171
Three letters picked without replacement from zsslzzzzzlszllzlzls. What is prob of sequence zsz?
16/323
Four letters picked without replacement from ggogggggggoggggggo. What is prob of sequence goog?
7/408
Two letters picked without replacement from jjyj. What is prob of sequence yy?
0
What is prob of sequence aaa when three letters picked without replacement from {i: 4, a: 14}?
91/204
Calculate prob of sequence wkk when three letters picked without replacement from ekw.
0
Four letters picked without replacement from {m: 1, o: 12, a: 3}. What is prob of sequence aaoo?
33/1820
Two letters picked without replacement from {x: 1, l: 1, c: 1, d: 2, u: 1, p: 1}. What is prob of sequence xu?
1/42
What
|
{
"pile_set_name": "DM Mathematics"
}
|
remainder when 915 is divided by 71.
63
Calculate the remainder when 2160 is divided by 41.
28
Calculate the remainder when 288 is divided by 14.
8
Calculate the remainder when 77 is divided by 41.
36
Calculate the remainder when 159 is divided by 144.
15
What is the remainder when 116 is divided by 20?
16
Calculate the remainder when 408 is divided by 107.
87
What is the remainder when 763 is divided by 51?
49
Calculate the remainder when 6259 is divided by 29.
24
What is the remainder when 2153 is divided by 45?
38
What is the remainder when 872 is divided by 73?
69
What is the remainder when 27 is divided by 6?
3
What is the remainder when 1539 is divided by 18?
9
Calculate the remainder when 146 is divided by 4.
2
What is the remainder when 582 is divided by 12?
6
Calculate the remainder when 46 is divided by 8.
6
What is the remainder when 31 is divided by 18?
13
What is the remainder when 28312 is divided by 33?
31
What is the remainder when 599 is divided by 122?
111
Calculate the remainder when 243 is divided by 163.
80
What is the remainder when 256 is divided by 13?
9
What is the remainder when 4726 is divided by 472?
6
What is the remainder when 254 is divided by 76?
26
Calculate the remainder when 751 is divided by 126.
121
What is the remainder when 56 is divided by 6?
2
What is the remainder when 98 is divided by 45?
8
What is the remainder when 1081 is divided by 201?
76
What is the remainder when 97 is divided by 61?
36
What is the remainder when 2623 is divided by 105?
103
What is the remainder when 999 is divided by 50?
49
Calculate the remainder when 1177 is divided by 391.
4
What is the remainder when 284 is divided by 16?
12
Calculate the remainder when 85 is divided by 29.
27
Calculate the remainder when 2444 is divided by 34.
30
Calculate the remainder when 98 is divided by 37.
24
What is the remainder when 412 is divided by 289?
123
Calculate the remainder when 61 is divided by 5.
1
Calculate the remainder when 576 is divided by 116.
112
Calculate the remainder when 129 is divided by 15.
9
What is the remainder when 107 is divided by 27?
26
What is the remainder when 139 is divided by 20?
19
Calculate the remainder when 17217 is divided by 21.
18
What is the remainder when 701 is divided by 42?
29
Calculate the remainder when 708 is divided by 225.
33
Calculate the remainder when 1285 is divided by 15.
10
What is the remainder when 388 is divided by 44?
36
What is the remainder when 81 is divided by 30?
21
Calculate the remainder when 1622 is divided by 8.
6
What is the remainder when 431 is divided by 144?
143
Calculate the remainder when 23 is divided by 10.
3
Calculate the remainder when 1060 is divided by 15.
10
Calculate the remainder when 3305 is divided by 36.
29
Calculate the remainder when 216 is divided by 110.
106
Calculate the remainder when 27 is divided by 18.
9
Calculate the remainder when 550 is divided by 29.
28
Calculate the remainder when 12766 is divided by 129.
124
Calculate the remainder when 777 is divided by 242.
51
Calculate the remainder when 40 is divided by 25.
15
What is the remainder when 64 is divided by 60?
4
Calculate the remainder when 1135 is divided by 130.
95
Calculate the remainder when 2607 is divided by 45.
42
What is the remainder when 226 is divided by 110?
6
What is the remainder when 944 is divided by 134?
6
What is the remainder when 244 is divided by 113?
18
What is the remainder when 109 is divided by 39?
31
What is the remainder when 1230 is divided by 56?
54
Calculate the remainder when 3513 is divided by 27.
3
What is the remainder when 5735 is divided by 48?
23
Calculate the remainder when 9 is divided by 6.
3
What is the remainder when 6607 is divided by 118?
117
Calculate the remainder when 648 is divided by 10.
8
Calculate the remainder when 104 is divided by 21.
20
What is the remainder when 80 is divided by 2?
0
What is the remainder when 113 is divided by 25?
13
What is the remainder when 72 is divided by 23?
3
What is the remainder when 212 is divided by 8?
4
Calculate the remainder when 92 is divided by 31.
30
Calculate the remainder when 2378 is divided by 56.
26
Calculate the remainder when 617 is divided by 20.
17
What is the remainder when 389 is divided by 127?
8
What is the remainder when 31 is divided by 23?
8
Calculate the remainder when 18522 is divided by 95.
92
Calculate the remainder when 1096 is divided by 208.
56
Calculate the remainder when 4476 is divided by 636.
24
What is the remainder when 142 is divided by 66?
10
Calculate the remainder when 3324 is divided by 128.
124
Calculate the remainder when 950 is divided by 33.
26
What is the remainder when 1399 is divided by 459?
22
What is the remainder when 472 is divided by 148?
28
Calculate the remainder when 167 is divided by 8.
7
What is the remainder when 580 is divided by 27?
13
What is the remainder when 616 is divided by 23?
18
Calculate the remainder when 412 is divided by 18.
16
Calculate the remainder when 33 is divided by 7.
5
Calculate the remainder when 179 is divided by 14.
11
Calculate the remainder when 1079 is divided by 181.
174
What is the remainder when 369 is divided by 121?
6
What is the remainder when 29 is divided by 2?
1
What is the remainder when 220 is divided by 36?
4
What is the remainder when 711 is divided by 34?
31
Calculate the remainder when 597 is divided by 154.
135
What is the remainder when 13352 is divided by 84?
80
What is the remainder when 2584 is divided by 24?
16
What is the remainder when 1175 is divided by 14?
13
What is the remainder when 5416 is divided by 126?
124
What is the remainder when 628 is divided by 119?
33
What is the remainder when 1744 is divided by 50?
44
Calculate the remainder when 1763 is divided by 151.
102
What is the remainder when 641 is divided by 313?
15
Calculate the remainder when 513 is divided by 81.
27
Calculate the remainder when 5357 is divided by 141.
140
Calculate the remainder when 105 is divided by 72.
33
Calculate the remainder when 504 is divided by 43.
31
Calculate the remainder when 2349 is divided by 90.
9
Calculate the remainder when 1118 is divided by 19.
16
What is the remainder when 484 is divided by 101?
80
Calculate the remainder when 382 is divided by 79.
66
Calculate the remainder when 2830 is divided by 31.
9
Calculate the remainder when 88 is divided by 48.
40
Calculate the remainder when 13 is divided by 8.
5
What is the remainder when 159 is divided by 48?
15
Calculate the remainder when 36 is divided by 14.
8
What is the remainder when 649 is divided by 82?
75
What is the remainder when 422 is divided by 16?
6
What is the remainder when 1421 is divided by 84?
77
What is the remainder when 576 is divided by 17?
15
What is the remainder when 429 is divided by 217?
212
What is the remainder when 310 is divided by 84?
58
Calculate the remainder when 4417 is divided by 85.
82
What is the remainder when 96 is divided by 11?
8
What is the remainder when 54 is divided by 47?
7
What is the remainder when 9047 is divided by 26?
25
What is the remainder when 222 is divided by 191?
31
What is the remainder when 1872 is divided by 5?
2
What is the remainder when 16 is divided by 9?
7
Calculate the remainder when 1308 is divided by 326.
4
Calculate the remainder when 432 is divided by 207.
18
What is the remainder when 51 is divided by 5?
1
Calculate the remainder when 67 is divided by 62.
5
What is the remainder when 394 is divided by 32?
10
Calculate the remainder when 357 is divided by 177.
3
Calculate the remainder when 24751 is divided by 111.
109
What is the remainder when 6611 is divided by 12?
11
What is the remainder when 1052 is divided by 59?
49
Calculate the remainder when 2103 is divided by 26.
23
What is the remainder when 1129 is divided by 18?
13
Calculate the remainder when 1239 is divided by 40.
39
What is the remainder when 581 is divided by 101?
76
Calculate the remainder when 335 is divided by 68.
63
Calculate the remainder when 2666 is divided by 12.
2
Calculate the remainder when 128 is divided by 40.
8
Calculate the remainder when 18865 is divided by 89.
86
What is the remainder when 231 is divided by 9?
6
What is the remainder when 1124 is divided by 292?
248
Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
.25690838
Sum -16653 and 145374206.
145357553
Sum 425478650521935 and -3.
425478650521932
What is 69451 plus 7760259.393?
7829710.393
What is the difference between 21884799 and -1264738.7?
23149537.7
Subtract 1280 from 2.887853699.
-1277.112146301
2310691.406 - -69774
2380465.406
What is the difference between -124 and -0.19747187157?
123.80252812843
-206627.4952188 + -129
-206756.4952188
What is -371217.6665 minus -1395?
-369822.6665
108472786 + 345
108473131
Calculate 0.10755 - -0.067965511.
0.175515511
Calculate 44422282736 - 4.1.
44422282731.9
Calculate 187416.4942356 - 0.52.
187415.9742356
What is the distance between -503879 and -67.369?
503811.631
What is -11847.1542702282 plus -3?
-11850.1542702282
Calculate -18.127 + 9602617937.8.
9602617919.673
What is 1.549 less than -227.939957699?
-229.488957699
Subtract -239565.9 from 165814606.
166054171.9
Add together 2147007 and -2939.
2144068
53180+37.567992
53217.567992
What is -149 - -52184.0047?
52035.0047
Subtract 101111183810 from -16.
-101111183826
What is -1 minus 1.1418783164?
-2.1418783164
1.49491 - 117980211
-117980209.50509
What is -42002295 plus -0.07664?
-42002295.07664
What is the distance between -754.1684 and 0.079419?
754.247819
Work out 3365294727230 - -5.
3365294727235
Add 27197.958754599 and -0.04.
27197.918754599
Total of -9792602 and -2096.
-9794698
-3702034761.3+-0.02
-3702034761.32
Subtract 185348382088 from -3310.
-185348385398
Sum 1.6 and -17948312541.
-17948312539.4
Add together 144796464468 and -0.5.
144796464467.5
Sum 0.16 and 725204193.
725204193.16
-444200.9 - 98690027
-99134227.9
Sum 814549 and -28515697.
-27701148
Calculate 706 + -24946224845.
-24946224139
Total of 0.3 and 1696030121429.
1696030121429.3
What is 27235.743675 minus 29.74?
27206.003675
What is -4.49898 take away 288293056?
-288293060.49898
What is 1 plus 0.244526792859?
1.244526792859
317234 + -438097854
-437780620
Subtract -28242860 from -536245.
27706615
What is 5 take away 7875418194538?
-7875418194533
Add 145 and -47949412.
-47949267
What is 0.8 plus -0.0903376372411?
0.7096623627589
What is the distance between 1004376975 and 40?
1004376935
Work out 143926.578196 - 0.3.
143926.278196
Work out -9063526 - 2860.5.
-9066386.5
Work out 18225789667357 - 4.
18225789667353
94116602+4046
94120648
What is the distance between -2401.3680917 and -4?
2397.3680917
Put together -675.267 and 267.63.
-407.637
Total of 1237 and 1682095.1506.
1683332.1506
Work out -36.148 + 924.04231.
887.89431
Add -13412676 and 0.106558.
-13412675.893442
Subtract 242.91366873543 from 5.
-237.91366873543
Sum -0.393745 and 304454945.
304454944.606255
Calculate -1979 - -534.47368239.
-1444.52631761
What is the distance between 3.2 and -8.065724034?
11.265724034
Sum -566354238 and -7.03.
-566354245.03
Sum -1433.99 and 2304867.
2303433.01
What is 762.813793653 minus 4.2?
758.613793653
What is 2 - -73728869385?
73728869387
Add 781447 and 67.611275.
781514.611275
65734939.722 - -1.19
65734940.912
Add together -1324 and 282616272.
282614948
Calculate 22788454447735 - -0.6.
22788454447735.6
Work out 743826653401 - -0.04.
743826653401.04
Total of -203670317331 and 0.3.
-203670317330.7
What is 24403 less than 933684.817?
909281.817
Total of -298092 and -67944.
-366036
Put together 3521.759 and -216.033.
3305.726
-255506610526 + 3
-255506610523
Work out -18064.37 - 2368.755.
-20433.125
Subtract 29186168 from 7748.51.
-29178419.49
Subtract -7362 from -546354416.
-546347054
What is -8092547972.81 less than -1.8?
8092547971.01
Subtract 144.18736 from -1.769.
-145.95636
Subtract -3359863 from -3363973.
-4110
What is -163930209353 minus -2.6?
-163930209350.4
What is -190250022 take away 16.59?
-190250038.59
What is the difference between -9 and 28825066056?
28825066065
Work out -0.0323037241584 + 31.
30.9676962758416
What is -2.73 less than 1849296016?
1849296018.73
-243492 - -0.034989872
-243491.965010128
Calculate -7.9107521 - 1834.
-1841.9107521
Calculate 3263461717669 + 0.12.
3263461717669.12
Work out 1220905932775 + 0.002.
1220905932775.002
Add -124920.42 and -1126539.
-1251459.42
Put together 45345.801 and -15752.
29593.801
-1672+-631632527847
-631632529519
Work out 33 - -57048.46047659.
57081.46047659
Work out -0.09344096606 - 5.
-5.09344096606
Calculate 4 - -67908796699.
67908796703
0+-2063130984.94
-2063130984.94
What is -23 plus 0.3202625002483?
-22.6797374997517
Calculate -35612.50078 - -373.
-35239.50078
Total of 144994516 and -177992.
144816524
Work out -141287065.4 - -42.
-141287023.4
-0.01+13161.6128192
13161.6028192
Sum 5.0772 and 5731875.
5731880.0772
Total of 40284418 and -0.17871.
40284417.82129
What is 110444320 + 151.02?
110444471.02
Calculate -17334749539 - 0.0008.
-17334749539.0008
-4247982035 - 65.095
-4247982100.095
Work out -682838926 - 308.
-682839234
-12441357 + 0.0133228
-12441356.9866772
Work out -200975 + 71364155.
71163180
Work out -1412882386673 + 0.3.
-1412882386672.7
Put together 0.1144 and 6175130.
6175130.1144
Put together 12 and -23733552798.
-23733552786
Work out -29.577581143 - 0.0635.
-29.641081143
Total of 9.228948531255 and 0.07.
9.298948531255
Subtract -0.14638572 from 459.91.
460.05638572
Put together -786 and 2763.76855.
1977.76855
Add together 4636.8 and 1.332241448.
4638.132241448
6 + -33806703163
-33806703157
What is 801876821 - 1081.6?
801875739.4
What is the difference between -120219892637 and -0.0759?
120219892636.9241
What is -275.56023 + -17.3?
-292.86023
Total of 90.53 and 5781163088.
5781163178.53
What is -962245612.34 take away -2?
-962245610.34
Put together 2317018 and 29572306.
31889324
Work out 4.2652 - -25.091527.
29.356727
What is the distance between -6.055873309 and 148?
154.055873309
What is the distance between 0.4 and 232025957068?
232025957067.6
What is the distance between 429017470.1254 and 1.9?
429017468.2254
-254096+-60331
-314427
What is 35.0780023443 plus -0.78?
34.2980023443
Work out -89.96 - 9534408.
-9534497.96
What is -403 plus 86215062.088?
86214659.088
Sum -101.2689 and -1979.6.
-2080.8689
Subtract 18.11 from -18961156394.
-18961156412.11
What is the difference between -1758275 and -8746.2?
1749528.8
What is 46 - -104635817?
104635863
What is 13 minus -21.51847219?
34.51847219
0.396 - -1979228430
1979228430.396
Work out -196067 + 26.93365.
-196040.06635
What is -0.3 plus -6217.507314?
-6217.807314
14428725819576+0.4
14428725819576.4
What is -437216373575 - -0.75?
-437216373574.25
Work out 0.116764 - -0.0427891.
0.1595531
Calculate 1681.4351 + -4020.
-2338.5649
What is 107278590 minus 14873?
107263717
Work out -0.2 + -16628923929.
-16628923929.2
Work out 0.000535476 + 195832.
195832.000535476
Work out -530850942 - 0.09105.
-530850942.09105
What is 1.32183285 take away -5017?
5018.32183285
What is the difference between -0.1269761875 and -84557?
84556.8730238125
What is -2 less than 7557359677?
7557359679
What is the distance between 5003155041 and -508?
5003155549
-186675 - -167.776464
-186507.223536
Subtract 4250906 from 455910.
-3794996
What is 5843570451271 plus 0.5?
5843570451271.5
-2760479.159697+0.4
-2760478.759697
What is 0.2986701 take away 4725.5?
-4725.2013299
What is -7.49 plus 478070534?
478070526.51
Add together -1865812221537 and -0.2.
-1865812221537.2
Subtract 25878056512.9 from -1.
-25878056513.9
What is the distance between -1778 and -134678326959?
134678325181
What is -76537681.196 + 26.89?
-76537654.306
Subtract -15034 from -19809970.
-19794936
-257+-3701986031.29
-3701986288.29
Add -21227195.3739 and -143.
-21227338.3739
Put together 1966031774249 and -1.06.
1966031774247.94
What is 350321.496827 plus -4.18?
350317.316827
Calculate 0.0349 - -32.2327697.
32.2676697
What is -21000.72 less than -205.03026?
20795.68974
Work out 6987.108 - -191380.
198367.108
Calculate -9120402123 - 0.104.
-9120402123.104
Sum -16424 and -115318.
-131742
What is -1 plus -27288777.84?
-27288778.84
What is 2144.2617 - -0.0302854?
2144.2919854
What is the difference between 145083481662 and 628?
145083481034
Add together -0.448698 and 41184703.
41184702.551302
-3044 - -52292.701
49248.701
Calculate -0.027402246 + 2404.
2403.972597754
Total of 110621255805039 and -2.
110621255805037
Put together 43950.97 and 8515.9.
52466.87
What is 1581647 take away -315.913?
1581
|
{
"pile_set_name": "DM Mathematics"
}
|
tors of s(5)?
5
What are the prime factors of (3 - 92/28) + (-1724)/(-7)?
2, 3, 41
Let n(z) = -22*z**2 - 2*z + 1. Let w be n(1). Let l = w - -30. List the prime factors of l.
7
Let x(j) = -2*j**2 + 465. Let v be x(0). Let l = v + -268. What are the prime factors of l?
197
Let v be (9 - -1)*(-5)/(-10). Suppose -2*s = -v*s. List the prime factors of s + 1 + 1/1.
2
Let z be -2*((-2)/6)/((-8)/(-1548)). Suppose -4*d - d + 105 = 5*f, 4*d - 5*f = z. List the prime factors of d.
2, 13
Suppose 39*f + 1566 - 4335 = 0. What are the prime factors of f?
71
Let x(j) = 2*j + 18. Suppose -5*a - 80 = 5*a. What are the prime factors of x(a)?
2
Let n be (0 - 1)/(-1) - -3. Suppose 0 = -1180*h + 1175*h + 840. Suppose 0*s = -n*s + h. What are the prime factors of s?
2, 3, 7
Suppose 0 = 68*x - 64*x - 2*j - 14214, 2*x + 5*j = 7137. What are the prime factors of x?
2, 7, 127
Suppose 8 = -3*o + 2. Let d(w) = 25*w**2 + 11*w + 5. Let y(n) = -5*n**2 - 2*n - 1. Let j(b) = -2*d(b) - 11*y(b). List the prime factors of j(o).
3, 7
What are the prime factors of (726 + -5)/(-2 + (-56)/(-24))?
3, 7, 103
Let s = -15 + 11. Let o = s - -6. Suppose -3*v + 40 = -b, -5*b + 10 = o*v - 3*v. What are the prime factors of v?
3, 5
List the prime factors of (-16548)/(-35) + 20/(-25).
2, 59
List the prime factors of (225/(-3))/(((-1)/(-1))/(-1)).
3, 5
What are the prime factors of 87 + 10/(-10 + 0)?
2, 43
Suppose 74*i - 6336 = 66*i. What are the prime factors of i?
2, 3, 11
Let d(b) = 3*b**2 - 16*b + 49. Let v be d(5). Suppose 0 = -v*x + 36*x + 496. List the prime factors of x.
2, 31
Let b be -3*(-92)/12*-1*-5. Suppose -b = -6*d + 11. List the prime factors of d.
3, 7
Let d be 29/(-9) + 18/81. Let x(m) = -22*m + 4. Let a be x(d). Suppose -2*p + 29 = h, 0*p = -5*h + 5*p + a. List the prime factors of h.
19
Let z(f) = 113*f + 67. List the prime factors of z(3).
2, 7, 29
Suppose -476*n = -473*n - 105. What are the prime factors of n?
5, 7
Suppose 0 = -23*f - 31*f + 78462. What are the prime factors of f?
1453
Let u(k) = -k**3 - 14*k**2 + 18*k - 7. What are the prime factors of u(-16)?
7, 31
Suppose -4*m - 3*x = 7, -3*m - 10 = 2*m + 4*x. Let i be 3/(-12) + 17/4. Suppose 5*d - 4*b - 11 = 3, i*b + m = -d. List the prime factors of d.
2
Let a(u) = -u**3 + 10*u**2 + 2*u - 3. Suppose 2*m = -3 - 5, 3*b = -3*m + 18. Suppose -3*p = -2*p - b. List the prime factors of a(p).
17
Let b = -3556 + 6020. List the prime factors of b.
2, 7, 11
Let r(p) = 38*p + 19. List the prime factors of r(14).
19, 29
Suppose -4*w + 3*w - 130 = 0. List the prime factors of 113/(w/(-91) + 6/(-14)).
113
Let n(h) = h**3 + 6*h**2 - 6*h + 1. Let v be n(-7). Let g be v/((-27)/6 + 3). Suppose -81 = l - g*l. List the prime factors of l.
3
Suppose -8274 = -18*r - 3*r. What are the prime factors of r?
2, 197
Let c = -6 - -24. Suppose -c = -5*g + 3*v + 1, -3*g = 3*v + 3. Suppose -g*z = 3*b + 3*z - 55, -3*b + 25 = -z. List the prime factors of b.
2, 5
Suppose 0 = -500*t + 496*t + 3632. List the prime factors of t.
2, 227
Suppose -88*j + 92*j - 4*y = 19708, 2*y - 24635 = -5*j. What are the prime factors of j?
13, 379
List the prime factors of -2*(-2229)/12*2.
743
Let w(u) = u - 10. Let d be w(7). Let b be 767/7 + d/(-7). Suppose h + 4*h = b. What are the prime factors of h?
2, 11
Let p(x) = x**3 + 6*x**2 + 5*x + 3. Let k be p(-5). Suppose 2*l - 405 = -k*l. List the prime factors of l.
3
Suppose -448 = -3*m - 22. Let b = 380 - m. List the prime factors of b.
2, 7, 17
Let u = 2 + 0. Suppose -u*q + t + 16 = -39, 3*q = -2*t + 93. Suppose -q = -5*x - a + 3*a, -x + 7 = -a. What are the prime factors of x?
5
Let p(i) = i**2 - 12*i + 11. Let m be p(11). Suppose m = 6*j - 2*j - 4. List the prime factors of 2*j + 19 + -12.
3
Let x be 15/10*34/3. Let c = x + -13. Suppose -c*o + 3*h + 124 = 0, 0 = 5*o + 3*h + 17 - 145. What are the prime factors of o?
2, 7
Suppose 0*a + 5*a - 30 = 0. Suppose -2*k = -a*k + 16. Suppose 3*x - k = 2. What are the prime factors of x?
2
Suppose 10 = j - 5. Let b = 40 - j. What are the prime factors of b?
5
Let g(b) = -154*b + 145. What are the prime factors of g(-8)?
3, 17
Let v(g) = g**2 + g + 2. Let y(d) = -15*d - 30. Let l(q) = 2*v(q) + y(q). List the prime factors of l(-10).
2, 19
Let m be -2*(1 + 1 + -4). Suppose 6*v - m*v - 18 = 0. What are the prime factors of 54/v + 2/(-1)?
2
Suppose -3*t = -u + 2*u - 49, -4*u - 76 = -4*t. Suppose -2*n - t = -3*n. What are the prime factors of n?
17
Suppose -z - 35 = r - 136, -2*r + 8 = 0. List the prime factors of z.
97
Let o = 54 + 600. What are the prime factors of o?
2, 3, 109
Let q(j) = -483*j + 752. List the prime factors of q(-5).
3167
Suppose 987 = 2*p + 243. What are the prime factors of p?
2, 3, 31
Let w(o) = -o**2 + 5*o + 9*o + 2 - 8*o + o**3. What are the prime factors of w(3)?
2, 19
Let b(u) = -u**3 - 19*u**2 + 22*u - 46. What are the prime factors of b(-25)?
2, 19, 83
Let l(d) = 677*d + 218. List the prime factors of l(6).
2, 5, 107
Suppose -q = 2*v + 338, q - 12 = -2*q. Let s = v + 370. What are the prime factors of s?
199
Let d = -15 + 20. Let c = d + 62. List the prime factors of c.
67
Let u(s) = 3*s - 3. Let w be u(-5). Let x(p) = -p**2 - p. Let k be x(3). List the prime factors of (-321)/w - 2/k.
2, 3
Suppose 3*a = 6*a + b + 72, 5*b - 24 = a. Let r be (-4)/5*60/a. Suppose r = -5*j + 147. List the prime factors of j.
29
Let l be (-2)/(6/72639) - (-1 + 3). List the prime factors of l/(-116) + (-3)/4.
2, 13
Let y(g) = g**3 - 13*g**2 - 50*g + 36. Let k be y(16). Let v(o) = o - o**3 + 8*o**2 + 3*o - o**2 - 2. What are the prime factors of v(k)?
2, 31
Suppose 0 = 6*o + 175 + 5. Let m be ((-10)/6)/(25/o). List the prime factors of (-9)/(-3*m/24).
2, 3
Let a = -54 - -95. Suppose -a = -12*i + 13*i. Let t = -27 - i. List the prime factors of t.
2, 7
Let y be 3/(-9) + (-50)/(-15). Suppose -70 = -y*i + 29. List the prime factors of i + 1 + (-4)/2.
2
Suppose -8330 = -34*p + 52428. List the prime factors of p.
1787
Suppose 12 = 2*f + 6. Suppose -f*m - g + 82 = -140, 2*g = -5*m + 370. What are the prime factors of m?
2, 37
Let a = -42 + -250. Let x = a - -532. List the prime factors of x.
2, 3, 5
Let h = 5549 + -2887. List the prime factors of h.
2, 11
Let q = -31 - -61. Let l = q - 26. Suppose 40 = 2*r + 3*o, 4*r + l*o - 80 = -o. List the prime factors of r.
2, 5
Let a(h) be the third derivative of 7*h**4/24 - h**3/3 - 2*h**2. Let c be a(1). Suppose 0 = -3*g + 4*g - c. List the prime factors of g.
5
Suppose 3*h + 2071 = 4*l, -10*h + 12*h = l - 519. List the prime factors of l.
11, 47
Let u(w) = 45*w**3 - 3*w**2 - 3*w + 6. List the prime factors of u(2).
2, 3, 29
List the prime factors of ((-6001)/68 - 2)/((-1)/16).
2, 19
Let s(q) = -2*q - 4. Let d be s(-10). Suppose 4*a + d = 256. Suppose 2*m - a = -8. What are the prime factors of m?
2, 13
Let k = 4 + 13. Suppose -20*l + k*l = -405. List the prime factors of l.
3, 5
List the prime factors of 8/(-14) + (7774/(-7))/(-1).
2, 3, 5, 37
Let r(m) = m + 4. Let k = 0 - -6. Let v be r(k). List the prime factors of (84/9)/(v/15).
2, 7
Suppose -5*s = -4*o + 267, -s + 102 = -5*o + 420. Let z = -12 + o. What are the prime factors of z?
3, 17
Suppose 6*v = 2*v + 28. Let l(u) = -u**2 + 9*u - 2. Let x be l(v). What are the prime factors of x/8*76/3?
2, 19
Let o(j) be the third derivative of -j**7/1260 + 11*j**6/720 - j**5/60 + 4*j**2. Let r(i) be the third derivative of o(i). List the prime factors of r(-8).
43
Suppose c = 4*w - 12024, -2*c - 15023 = -5*w + c. List the prime factors of w.
31, 97
Let k(c) = -36*c + 9. Let s be k(2). Let v = 11 - s. List the prime factors of v.
2, 37
Let j(g) = -83*g - 44. List the prime factors of j(-4).
2, 3
Let q(p) = -26*p + 19. What are the prime factors of q(-3)?
97
Let t = -32 + 34. Suppose -5*z + 3*n = -41 + 14, 3*z + 3*n = 21. What are the prime factors of (t/(-4))/(z/(-444))?
37
Suppose 2*f - 6*b = -3*b + 29, -3 = -4*f - 5*b. Let s = f - 0. Suppose -6*a - 29 = -s*a. What are the prime factors of a?
29
Suppose 0 = -22*u + 24*u. Suppose u = 14*z - 9*z - 110. What are the prime factors of z?
2, 11
Let n be 4/((-4)/1)*7. Let l = n + 10. Suppose 0 = 3*k + 4*r - 11 - 29, -l*r - 21 = -2*k. List the prime factors of k.
2, 3
Let f(w) = w**2 + 6*w - 7. Let o be f(-7). Suppose -85 = -3*s + 2*d + 3*d, s + 2*d
|
{
"pile_set_name": "DM Mathematics"
}
|
379*x + 302. What is a(49)?
-41
Let l(w) = -11*w**2 + 229*w - 420. What is l(6)?
558
Let u(l) = -10026*l + 20048. Determine u(2).
-4
Let i(z) = z**3 - 1342*z - 15299. Calculate i(-13).
-50
Let z(y) = 11*y**2 - 3734*y + 63651. Give z(18).
3
Let t(z) = -z**2 - 9710*z + 3344315. What is t(333)?
-4
Let u(n) = 21*n**3 - 81*n + 82. Determine u(1).
22
Let g(x) = 38458*x - 423538. Give g(11).
-500
Let w(s) = -s**2 + 67686*s + 270764. Determine w(-4).
4
Let p(s) = 28358*s - 5643248. Determine p(199).
-6
Let l(y) = -10*y**3 - 2*y**2 - 52*y - 170. What is l(-4)?
646
Let b(q) = -28*q**2 + 16155*q + 147669. Calculate b(-9).
6
Let f(r) = 113*r + 909. What is f(-7)?
118
Let i(l) = -3*l**3 - 8*l**2 - 2418*l - 7281. What is i(-3)?
-18
Let k(o) = -o**2 + o + 30985. Determine k(-179).
-1235
Let u(i) = i**3 + 1051*i**2 + 238316*i - 2863. Give u(-720).
17
Let j(h) = 6462*h + 226168. Determine j(-35).
-2
Let s(a) = 311*a**2 + 143682*a - 15. Calculate s(-462).
-15
Let x(k) = -84*k**2 + 13587*k - 10148. Determine x(161).
-5
Let s(b) = 973*b + 12120. Determine s(-10).
2390
Let p(d) = 29*d**2 + 3008*d - 6908. Give p(-106).
88
Let t(a) = -46*a**3 + 140*a**2 + 59*a - 217. Determine t(4).
-685
Let q(r) = -r**3 + 20*r**2 - 32*r + 788. Give q(18).
860
Let f(i) = 59*i**3 + 1125*i**2 + 75*i - 20. What is f(-19)?
-1
Let p(d) = -d**3 + 3*d**2 - 20*d - 158. Give p(-7).
472
Let h(d) = d**2 - 1308*d - 47023. Give h(-35).
-18
Let w(u) = -236967*u + 78673041. Give w(332).
-3
Let x(o) = 35*o**2 + 1299*o + 152. Give x(-37).
4
Let l(c) = 8*c**3 + 122*c**2 - 15*c - 786. What is l(-15)?
-111
Let f(a) = -a**2 - 349*a + 21294. Give f(53).
-12
Let o(g) = -117833*g + 7541317. What is o(64)?
5
Let i(c) = c**3 + 40*c**2 - 38*c + 186. What is i(-41)?
63
Let v(l) = -423110*l + 11000849. Calculate v(26).
-11
Let z(i) = 3*i**3 + 31*i**2 + 545*i + 3313. Determine z(-7).
-12
Let k(g) = 6*g**2 - 3195*g - 624265. Calculate k(-152).
-1
Let f(w) = -5*w + 766. Give f(157).
-19
Let b(a) = 136*a**2 - 3248*a - 29. Give b(24).
355
Let u(f) = -4*f**3 - 524*f**2 - 1040*f + 1. Determine u(-2).
17
Let x(l) = -4*l**3 + 6*l**2 - 18*l - 187. What is x(-4)?
237
Let y(v) = -1692*v + 1115023. What is y(659)?
-5
Let j(x) = 14940*x + 149408. Give j(-10).
8
Let j(i) = i**3 - 54*i**2 - 402*i + 1145. What is j(61)?
2670
Let v(c) = 18519*c - 3777819. Calculate v(204).
57
Let u(l) = 171*l - 40374. Calculate u(236).
-18
Let c(k) = 5*k**3 - 14*k**2 + 41*k + 111. What is c(7)?
1427
Let h(k) = 62*k**2 - 806*k + 1731. Determine h(9).
-501
Let f(c) = -20*c**3 - 1522*c**2 - 153*c - 95. Give f(-76).
-19
Let p(b) = 6*b - 1358. Give p(224).
-14
Let d(v) = 25*v + 93. Calculate d(38).
1043
Let n(f) = -f**2 + 62*f + 60. Calculate n(11).
621
Let q(v) = -2*v**3 - 361*v**2 + 149*v - 5824. What is q(-181)?
-32
Let f(i) = -250*i - 33524. Calculate f(-134).
-24
Let a(i) = 13*i**2 + 343*i + 296. Give a(-25).
-154
Let a(r) = -4086*r - 8514. Calculate a(-2).
-342
Let n(j) = -21*j**2 + 3105*j + 3698. Calculate n(149).
122
Let l(s) = -s**3 - 54*s**2 - 154*s - 5271. What is l(-53)?
82
Let b(i) = -986*i**2 + 5911*i + 25. Calculate b(6).
-5
Let c(o) = 281*o**2 + 9831*o - 73. What is c(-35)?
67
Let o(r) = -20*r + 7665. Determine o(383).
5
Let k(r) = 69528*r + 695392. Determine k(-10).
112
Let y(z) = -2*z**3 - 531*z**2 - 24652*z + 451. Calculate y(-60).
-29
Let x(i) = -2*i**3 - 266*i**2 - 1345*i + 7. Calculate x(-5).
332
Let z(h) = 48*h - 5971. Give z(124).
-19
Let y(f) = 2*f**3 + 13*f**2 - 35*f + 45. Determine y(4).
241
Let y(q) = 216948*q - 433879. Give y(2).
17
Let w(c) = -c**3 - 22*c**2 - 279*c - 5936. What is w(-22)?
202
Let b(w) = -24*w + 699. Give b(19).
243
Let v(p) = 13*p**2 + 1410*p + 12776. Calculate v(-10).
-24
Let b(q) = q**3 + 43*q**2 + 4446*q + 21275. Determine b(-5).
-5
Let t(f) = -9*f**2 + 815*f + 4398. Give t(96).
-306
Let m(f) = 2*f**3 + 5*f**2 - 647*f - 3235. Give m(19).
-5
Let g(v) = -7*v - 893. Give g(6).
-935
Let h(t) = -42*t**3 + 6382*t**2 + 312*t - 1206. Calculate h(152).
10
Let l(z) = 73*z - 15713. Calculate l(223).
566
Let z(v) = 8*v**3 + 4*v**2 - 99*v + 353. What is z(4)?
533
Let j(w) = -26784*w + 3776535. Calculate j(141).
-9
Let z(u) = -249*u - 1787. Give z(-7).
-44
Let u(i) = -312*i - 23333. Determine u(-75).
67
Let b(j) = 2*j**3 + 97*j**2 + 731*j - 273. Calculate b(-39).
117
Let k(v) = 3794*v**2 - 121409*v + 38. Give k(32).
6
Let m(b) = 247912*b + 1487483. Determine m(-6).
11
Let d(w) = -74*w**2 + 267*w + 613. What is d(5)?
98
Let q(d) = -3*d**3 + 1939*d**2 - 195491*d - 1132. Give q(125).
-7
Let t(q) = 3*q**3 - 395*q**2 - 1189*q - 8. Calculate t(-3).
-77
Let s(p) = -49561*p - 2478050. Determine s(-50).
0
Let q(t) = t**3 + 16*t**2 - 33*t - 882. Give q(-14).
-28
Let x(q) = q**3 + 52*q**2 + 628*q + 57. Determine x(-19).
38
Let w(z) = -1802*z - 64867. Determine w(-36).
5
Let d(u) = 1419*u + 35464. Give d(-25).
-11
Let q(w) = 132729*w + 2123505. Give q(-16).
-159
Let s(k) = 14*k**3 + k**2 + 90957*k + 90957. Determine s(-1).
-13
Let a(d) = -620*d**2 + 1251*d + 1. Determine a(2).
23
Let w(m) = 222*m - 45301. Give w(205).
209
Let x(b) = -b**3 - 48*b**2 + 21*b + 373. Give x(-49).
1745
Let t(o) = o**2 + 1340*o + 162668. Determine t(-135).
-7
Let y(p) = -5*p**2 + 12346*p + 5381202. Calculate y(-378).
-6
Let v(r) = r**2 - 82133*r + 1395991. What is v(17)?
19
Let v(s) = s**2 + 152*s - 1607. Calculate v(9).
-158
Let i(h) = -2*h**2 + 7984*h + 885593. Give i(-108).
-7
Let u(n) = 386*n + 13062. What is u(-34)?
-62
Let k(s) = -35623*s + 1068693. Calculate k(30).
3
Let o(v) = -419*v**2 + 7138*v - 200. Calculate o(17).
55
Let m(v) = -v**3 - 44*v**2 - 112*v + 757. What is m(-37)?
-4682
Let q(x) = -x**3 - 26*x**2 - 48*x - 1937. Calculate q(-27).
88
Let v(t) = -762423*t - 2287275. Give v(-3).
-6
Let b(j) = -j**3 + 73*j**2 - 178*j + 209. Give b(71).
-2347
Let m(f) = -f**3 + 41*f**2 - 11*f + 342. What is m(40)?
1502
Let y(w) = -2*w**2 - 12*w + 5834. What is y(-53)?
852
Let w(j) = 13*j**2 - 2585*j - 146458. What is w(-46)?
-40
Let y(r) = -5*r**3 + 209*r**2 + 282*r - 1219. What is y(43)?
-187
Let j(y) = 3*y**2 - 1725*y + 8443. What is j(570)?
-107
Let p(o) = -742*o + 140236. What is p(189)?
-2
Let n(g) = -1668*g - 21951. What is n(-13)?
-267
Let t(h) = -h**2 + 2123*h - 139774. What is t(68)?
-34
Let u(z) = 105*z**2 - 18*z - 11. What is u(-2)?
445
Let t(q) = -46*q**2 + 365*q - 1. What is t(-3)?
-1510
Let y(d) = 5130*d - 20631. What is y(4)?
-111
Let j(q) = -27420*q + 109685. What is j(4)?
5
Let a(o) = 5953*o - 4345687. What is a(730)?
3
Let a(c) = -215*c + 10362. Calculate a(48).
42
Let l(t) = t**2 + 2359*t + 1182828. What is l(-723)?
0
Let c(q) = 2635*q + 90002. Give c(-34).
412
Let x(w) = 106*w**2 + 3676*w + 20475. Determine x(-7).
-63
Let a(z) = 9823*z + 9985. Calculate a(-1).
162
Let r(j) = 15657*j - 94166. Calculate r(6).
-224
Let i(b) = 3*b**3 + 75*b**2 - 109*b - 830. Calculate i(-25).
1895
Let z(u) = 2*u**3 + 106*u**2 - 29*u - 1750. Determine z(-53).
-213
Let l(g) = -g**2 - 157*g - 1193. Calculate l(-148).
139
Let h(q) = q**3 + 27*q**2 + 171*q + 142. Determine h(-18).
-20
Let s(f) = -f**3 + 60*f**2 - 363*f - 484. Give s(53).
-60
Let h(s) = -435440*s - 1741766. What is h(-4)?
-6
Let v(r) = -2*r**3 - 183*r**2 + 1299*r + 2453. Calculate v(-98).
3
Let t(c) = 15*c**2 - 2265*c - 14131. Calculate t(157).
-1
Let p(v) = -62430*v - 62445. What is p(-1)?
-15
Let y(g) = g**3 - 135*g**2 + 3696*g - 289. Calculate y(38).
91
Let q(h) = -h**3 - 45*h**2 + 837*h - 151. Determine q(14).
3
Let u(b) = 1145*b + 172716. Calculate u(-151).
-179
Let u(a) = 190*a - 788. Give u(9).
922
Let i(t) = 6*t**3 + 4*t**2 + 222*t - 1148. Calculate i(5).
812
Let x(k) = -59377*k + 10272229. Determine x(173).
8
Let w(x) = x**3 + x**2 - 4*x + 2. What is w(1)?
0
Let l(h) = 54*h**2 + 715*h + 1. Give l(-14).
575
Let x(h) = 51*h - 1304. Give x(25).
-29
Let q(d) = d**2 - 185*d + 8433. Give q(88).
-103
Let o(y) = -9146*y + 54921. Give o(6).
45
Let l(t) = 751*t**2 - 38297*t - 110. What is l(51)?
94
Let v(g) = g**3 - 9*g**2 + 149*g + 84. Calculate v(0).
84
Let w(s) = -s**2 + 945*s - 54775. What is w(62)?
-29
Let c(t) = 27*t**3 + 20*t**2 + 63*t - 151. Calculate c(-4).
-1811
Let y(v) = 3902792*v + 3902800. Give y(-1).
8
Let x(a) = -847814*a - 4239082. Calculate x(-5).
-12
Let o(y) = 1225*
|
{
"pile_set_name": "DM Mathematics"
}
|
0*v + 0*v**4 + 0*v**3 + 4/15*v**6 - 14*v**2 - 17/30*v**5 + 0. Find the third derivative of k(p) wrt p.
192
Let k = -322 + 322. Let w(p) be the second derivative of k + 0*p**4 + 2*p - 2*p**2 + 0*p**3 - 1/5*p**5. Differentiate w(r) wrt r.
-12*r**2
Let j(o) be the second derivative of 0 + 3*o - 7/6*o**3 - 1/12*o**4 + 0*o**2. What is the second derivative of j(n) wrt n?
-2
Let l be (-90)/(-20)*-6*(-6)/81. What is the third derivative of -10*d**5 - 4*d**4 - 3*d + 54*d**2 - 58*d**l + d wrt d?
-600*d**2 - 96*d
Let f(w) = 81*w**2 - 22*w - 5. Let t(n) = -82*n**2 + 22*n + 6. Let j(k) = 4*f(k) + 3*t(k). Find the second derivative of j(g) wrt g.
156
Let s(a) = 27*a**3 - 16*a**2 - 196*a. Let k(y) = -29*y**3 + 14*y**2 + 198*y. Let q(d) = -7*k(d) - 6*s(d). What is the second derivative of q(o) wrt o?
246*o - 4
Let o(a) be the second derivative of -109*a**5/20 + 11*a**4/12 - 2*a + 99. What is the third derivative of o(m) wrt m?
-654
Let m(z) = -4 + 42*z**2 - 43*z**2 - 9*z - z. Let v be m(-9). What is the first derivative of -v*t**2 - 2 - 6 + 2 wrt t?
-10*t
Let b(i) = 93*i**4 - 2*i**3 + 15*i**2. Let x(r) = -186*r**4 + 5*r**3 - 31*r**2. Let v(y) = 5*b(y) + 2*x(y). Find the third derivative of v(n) wrt n.
2232*n
What is the third derivative of 4*z - 13*z**2 + 2074 + 160*z**6 - 2072 - 4*z wrt z?
19200*z**3
Let m(f) = 4*f - 4*f + 13 - f. Let v be m(7). Differentiate -v*c + 4*c + 1 + 2*c + 4*c**2 wrt c.
8*c
Let h(m) = -m**3 + 5*m**2 - 4*m. Let n be h(4). Let d = 66 - 58. What is the third derivative of -d*p**4 + p**2 + n*p**2 - 7*p**2 + 12*p**4 wrt p?
96*p
Differentiate -7234*y**2 + 114 + 3*y + 7263*y**2 + 123 wrt y.
58*y + 3
Let y(h) be the second derivative of -1/5*h**5 - 11/2*h**2 + 0*h**3 + 0*h**4 + 0 - 4*h. Differentiate y(f) wrt f.
-12*f**2
Let f(s) be the first derivative of -241*s**4/4 + 89*s - 220. What is the first derivative of f(m) wrt m?
-723*m**2
Suppose 54*f - 33*f = 21. Let s(y) be the first derivative of 0*y**4 + 0*y**3 + 0*y**2 + 5*y + f + 6/5*y**5. What is the derivative of s(t) wrt t?
24*t**3
What is the second derivative of j**5 - 4*j**5 - 108690*j**2 + 108690*j**2 + 64*j wrt j?
-60*j**3
Find the third derivative of -132*i**6 - 9595*i**5 + 9*i + 2*i**2 + 9595*i**5 wrt i.
-15840*i**3
Let b(z) be the first derivative of -9*z**8/56 + 7*z**4/6 + 7*z + 11. Let y(f) be the first derivative of b(f). What is the third derivative of y(p) wrt p?
-1080*p**3
Let q(r) = -r**2 + 25*r - 134. Let w be q(8). Let d(y) be the first derivative of 0*y**w + 2 + 0*y**3 + 5*y + 3/2*y**4. Find the first derivative of d(j) wrt j.
18*j**2
Let k(f) be the second derivative of 833*f**6/30 + 5*f**3/6 - f**2 - 243*f. Find the second derivative of k(t) wrt t.
9996*t**2
Suppose 623*i = 627*i. Let d(n) be the second derivative of 5*n + i + 0*n**3 - 7/2*n**2 - 3/4*n**4. What is the derivative of d(s) wrt s?
-18*s
Let m be 62/4 + (-3)/(-6). Suppose -4*u + 4 = -m. Find the third derivative of -4 + 4 + 6*w**2 - 7*w**u wrt w.
-420*w**2
Let i(m) be the third derivative of -1/2*m**5 + 0 + 0*m + 0*m**3 - 16*m**2 - 13/8*m**4. Find the second derivative of i(p) wrt p.
-60
Find the first derivative of -55*l**3 + 77 + 45 - 200 wrt l.
-165*l**2
Let t(h) be the first derivative of -11*h**4/12 + 3*h**3 - 9*h - 9. Let k(g) be the first derivative of t(g). What is the second derivative of k(p) wrt p?
-22
Let b(l) = l**3 + 6*l**2 - 134*l + 18. Let p be b(-15). Let x(f) be the second derivative of 1/6*f**p - 11/2*f**2 + 0 + 8*f. Differentiate x(z) wrt z.
1
Let j(t) be the second derivative of -t**6/6 - 13*t**5/10 - 17*t**4/12 - 3*t**2/2 + 440*t. Find the third derivative of j(z) wrt z.
-120*z - 156
What is the third derivative of -792*o - 89*o**2 - 26*o**5 - 796*o + 1587*o wrt o?
-1560*o**2
What is the second derivative of -52*g + 175*g + 25*g**2 + 0*g**4 + 2*g**4 - 8*g**2 wrt g?
24*g**2 + 34
Let v be 7*((-38)/(-35) + (-32)/40). Differentiate -226*r**v + r**3 - 2*r**3 + 50 + 229*r**2 with respect to r.
-3*r**2 + 6*r
Differentiate 10*o - 70 - 213 + 4*o - 230 + 4*o**4 wrt o.
16*o**3 + 14
Let w(m) be the third derivative of -m**7/70 + m**6/24 - 21*m**5/10 - m**4/12 - 117*m**2. What is the third derivative of w(s) wrt s?
-72*s + 30
Let a(j) be the third derivative of j**8/336 - 131*j**6/60 - j**5/30 + 35*j**3/3 - 187*j**2. What is the third derivative of a(d) wrt d?
60*d**2 - 1572
Let h(o) be the first derivative of 0*o + 0*o**3 + 5*o**2 - 19 + 12/5*o**5 + 0*o**4. What is the second derivative of h(t) wrt t?
144*t**2
Let m(t) = -4*t**3 + 6*t - 16. Let g(r) = r**3 - r + 3. Suppose 2*y - 64 = -2*y. Let i(h) = y*g(h) + 3*m(h). What is the second derivative of i(l) wrt l?
24*l
Let n = 1555 + -1549. Let o(v) be the third derivative of 0*v**5 + 0*v + 0 + 1/120*v**n + v**2 + 0*v**4 + 7/6*v**3. What is the first derivative of o(z) wrt z?
3*z**2
Suppose 3*o - 3 = 2*o. Find the third derivative of -16*a**o - 2*a**2 + 3*a**2 + 2*a**2 + 6*a**2 wrt a.
-96
Suppose 0 = -v + 4, -5*v = 2*j + j - 65. Suppose -5*h = 4*f - j, 0 = h + 2*f - f - 3. Differentiate 103 + 2*g**3 - 90 - 3*g**h with respect to g.
-3*g**2
Let d be 3766/8 + 4/16. Let r = d - 35. What is the derivative of -436*y - 3*y**3 + r*y + 6 wrt y?
-9*y**2
Let g be (-3)/(-9 + 2 + 6). Let m(c) be the third derivative of 0*c**4 + 1/3*c**g + 7/60*c**5 + 0 + 0*c + 3*c**2. Differentiate m(s) wrt s.
14*s
Let m(k) be the first derivative of 0*k**2 + 1 + 0*k**6 + 0*k + 14/3*k**3 + 0*k**5 + 0*k**4 - 17/7*k**7. What is the third derivative of m(r) wrt r?
-2040*r**3
Let w(d) be the third derivative of 7*d**2 - 1/30*d**5 - 1/40*d**6 + 0 + 0*d + 0*d**3 + 0*d**4. Find the third derivative of w(z) wrt z.
-18
Find the third derivative of 27*x**2 + 3*x**3 + 1 + 31315*x - 31315*x wrt x.
18
Let d(u) = 444*u**2 - 32*u. Let h(x) = -89*x**2 + 5*x. Let q(n) = 6*d(n) + 28*h(n). Find the second derivative of q(g) wrt g.
344
Let k(g) be the third derivative of -53*g**6/120 + 26*g**3/3 - 117*g**2. Differentiate k(w) wrt w.
-159*w**2
Let v(m) = 9*m + 31. Let b(a) = -5*a - 16. Let p(z) = -7*b(z) - 4*v(z). Let q be p(-14). Find the third derivative of 6*f**2 - f**2 + q*f**6 - 2*f**2 wrt f.
240*f**3
Suppose -34 = -7*l + 120. Find the first derivative of 36*i - 25 - 31*i + l*i wrt i.
27
Let p = 65 - 62. Differentiate p*a**4 - 3*a**4 + 8*a**4 - a**4 + 13 wrt a.
28*a**3
Suppose 0 = 2*d + 5 - 39. Let n be -5 + d + 1*-4. What is the first derivative of -n + c - 7*c - c wrt c?
-7
What is the third derivative of -60*l**5 + 405*l**2 + 9*l**5 - 463*l**2 wrt l?
-3060*l**2
Let z(b) = b - 1. Let j be z(3). Let w(u) = -2*u + 22. Let d be w(10). Find the second derivative of 17*k**d - 6*k - 6*k**4 - 17*k**j wrt k.
-72*k**2
Let b(s) = 20*s**2 + 134*s - 247. Let g(l) = 6*l**2 + 44*l - 82. Let y(x) = -2*b(x) + 7*g(x). Differentiate y(z) wrt z.
4*z + 40
Let m(g) = g**3 - g - 1. Let y(w) = 49 - 7*w**3 - 47 - 6*w - w**3. Let j(x) = 2*m(x) + y(x). Find the second derivative of j(f) wrt f.
-36*f
Find the second derivative of 995*o**2 + 926*o**2 + o + 7 - 2010*o**2 wrt o.
-178
Let i be (-3 - 0/(-2)) + (1 - -7). Let s(m) = m**2 + m - 5. Let p(x) = x - 1. Let h(n) = i*p(n) - s(n). Find the second derivative of h(w) wrt w.
-2
Let a(r) = -r**3 - 6*r**2 - 202*r - 482. Let c(k) = k**3 + 2*k**2 - k. Let x(m) = -a(m) - 3*c(m). What is the derivative of x(s) wrt s?
-6*s**2 + 205
Differentiate -57*h**3 + 508*h**2 - 33 - 508*h**2 wrt h.
-171*h**2
Let v(q) = 1565*q**3 + 967*q**2 + 8. Let b(m) = 522*m**3 + 323*m**2 + 3. Let k(r) = 8*b(r) - 3*v(r). Find the third derivative of k(z) wrt z.
-3114
Let j = -4 + 7. Differentiate 16 - 4*f - j*f - f - 13*f with respect to f.
-21
Suppose -5*c + 5*m = -180 - 385, 5*m = 4*c - 456. Let h = 15 + -14. Find the first derivative of 10 + c*y - 117*y + h wrt y.
-8
Let x(v) be the third derivative of 5*v**9/168 + 7*v**5/15 + v**4/8 + 91*v**2 - v. Find the third derivative of x(y) wrt y.
1800*y**3
Find the second derivative of 26*s**4 + 360*s + 185*s**5 - 5*s + s**4 - 27*s**4 wrt s.
3700*s**3
Let x(b) = -b**2 + 23*b - 39. Let l be x(21). What is the third derivative of 59*v**2 - v**l + 2*v**3 + 0*v**3 - 71*v**2 wrt v?
6
Let s(j) = -224*j + 49. Let p(o) = -221*o + 50. Let w(c) = 4*p(c) - 3*s(c). Differentiate w(g) with respect to g.
-212
Let m = 14 + -7. Let h be 6*(-1)/2 + m. Find the fir
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{
"pile_set_name": "DM Mathematics"
}
|
he second derivative of 10*a**3 - a**2 + 3*a**2 + j - 14*a**3 + 6*a**3 - 5*a wrt a.
12*a + 4
Let w = -665 - -667. Let r be ((-18)/(-15))/(4/10). What is the third derivative of -2 + 15*l**r + 19*l**w + 2 - 34*l**3 wrt l?
-114
Suppose 2*w - 2 = 0, -13 = -4*h + w - 2*w. Differentiate -4*s**h + 294 - 183 + 19*s**2 - 169 with respect to s.
-12*s**2 + 38*s
Let r(x) be the second derivative of 287*x**4/2 - 1263*x**3/2 - 61*x + 16. What is the second derivative of r(l) wrt l?
3444
Suppose -7*s - 40 = -27*s. Suppose -3*w - 42 = -141. What is the third derivative of -4*v**s - 11*v**2 - 24*v**4 + w*v**4 wrt v?
216*v
Suppose 2*q - 4 = t, 2*t - 2 - 2 = 0. What is the second derivative of -q*j**3 - 619*j - 3*j**3 + 847*j wrt j?
-36*j
Let g(f) = 82*f + 59. Let x(r) = -28*r + 50. Let d be x(2). Let c(w) = -81*w - 62. Let i(j) = d*g(j) - 5*c(j). Find the first derivative of i(h) wrt h.
-87
Let z(t) = -t + 4. Let j(l) = -l + 5. Let y(o) = 121*o + 96. Let k(q) = -4*j(q) + y(q). Let g(h) = -2*k(h) + 6*z(h). What is the first derivative of g(i) wrt i?
-256
Suppose -16 + 6 = -2*p. Find the third derivative of -20*r**2 + 33*r**2 - p*r - 63*r**3 - 12*r**2 + 18*r wrt r.
-378
Let z(h) be the first derivative of -828*h**5/5 + h**4/2 - 32*h**3/3 + 11*h**2 + 2*h + 1155. What is the third derivative of z(k) wrt k?
-19872*k + 12
Let w(x) = -3*x**4 + 2*x**3 - x**2. Let j(h) = 135*h**4 + 7*h**3 - 2*h**2 - 602. Let s(u) = -j(u) + 2*w(u). What is the derivative of s(n) wrt n?
-564*n**3 - 9*n**2
Let y(n) = -915*n**3 - 12*n**2 - 7581. Let x(k) = -914*k**3 - 18*k**2 - 7582. Let r(j) = -2*x(j) + 3*y(j). Find the first derivative of r(o) wrt o.
-2751*o**2
Let m(x) be the second derivative of 2*x**7/21 + 259*x**6/15 - x**4/12 + x**3/3 - 314*x**2 + 4421*x. Find the second derivative of m(f) wrt f.
80*f**3 + 6216*f**2 - 2
Let x(h) be the first derivative of 1485*h**3 + h**2 + 4378*h - 2643. What is the derivative of x(r) wrt r?
8910*r + 2
Suppose 3100 = 84*z - 74*z. Find the second derivative of 17*g**4 - z*g**3 - 39*g - 136*g + 314*g**3 wrt g.
204*g**2 + 24*g
Let f be (-31155)/(-62)*(-4)/(-10). Find the first derivative of -50 + 59 + 71 - 15*r + f - 10*r + 4*r**4 wrt r.
16*r**3 - 25
Let u be ((-4)/7)/((-128)/1456). Let i(w) be the second derivative of 0*w**3 - u*w**2 + 15*w + 0 - 7/20*w**5 + 0*w**4. Differentiate i(s) with respect to s.
-21*s**2
Let d(k) be the third derivative of 7*k**5/3 + 5*k**3/6 + 10*k**2 - 15*k. Differentiate d(o) wrt o.
280*o
Let w(c) = c**2 + 6*c - 2. Let z(p) = -842*p**3 + 8*p**2 - 92*p - 6. Let h(i) = 3*w(i) - z(i). Find the third derivative of h(v) wrt v.
5052
Let i be 2/(-7) + -4*(-4)/56. Suppose i = a - 4*o - 13, -3 + 5 = -o. What is the second derivative of -9*g**a + 26*g**5 - g - 10*g**5 wrt g?
140*g**3
Let s(i) be the third derivative of 1765*i**5/12 - 3689*i**4/12 - i**2 + 172*i + 1. What is the second derivative of s(a) wrt a?
17650
Let t(z) be the first derivative of 23*z**5/5 - 69*z**4/2 + 316*z**3/3 - z + 7299. What is the third derivative of t(q) wrt q?
552*q - 828
Suppose -7*y = -2*y - 2*l - 17960, 2*y = 4*l + 7168. What is the second derivative of 3*v - 3615 - 62*v**2 + y + 3*v**2 wrt v?
-118
What is the third derivative of 115*q**3 - 281*q**4 + 2109*q**2 + 453*q**4 - 169*q**4 wrt q?
72*q + 690
Let i(q) = 2696*q**4 - 5*q**3 + 45*q**2 - 49. Let t(p) = -p**4 + p**3 + 2*p**2 + 13. Let h(b) = -i(b) - 4*t(b). What is the third derivative of h(l) wrt l?
-64608*l + 6
Suppose j = u + 46, -4*j + 3*u + 191 = 7. What is the first derivative of j*k - 52*k - 79919 + 79598 + 127*k wrt k?
121
Let v = 111 + -83. Let h = 48 - v. What is the second derivative of -22*x - 159 - h*x**2 + 159 wrt x?
-40
Let l = 65 + -60. Find the third derivative of -1 - 5718*j**5 + 1 + 5899*j**l - 161*j**2 wrt j.
10860*j**2
Let p(m) be the second derivative of 2433*m**5/20 + 4681*m**4/12 - 3*m + 440. What is the third derivative of p(n) wrt n?
14598
Let b(i) = -4*i**3 - 18*i**2 + 18*i - 11. Let p be b(-19). What is the derivative of -1 + p*n**2 + 83 - 20678*n**2 wrt n?
-186*n
Suppose 5*i - 4*l = 105 + 2, -50 = -2*i + 4*l. Let y(p) = 8*p - 77. Let m be y(i). Find the second derivative of -15*w + 49*w**2 - 2 - 17*w**2 - m*w**2 wrt w.
-86
Let m be 0 + 4/((-4)/1). Let x(w) = -w - 5. Let f(r) = -119*r**2 - 6*r - 70. Let c(l) = m*f(l) + 6*x(l). Find the first derivative of c(v) wrt v.
238*v
Let m(d) be the second derivative of d**6/30 + 1201*d**3/3 + 3744*d**2 + 1532*d + 2. Differentiate m(u) with respect to u.
4*u**3 + 2402
Let g(v) = 3*v + 25. Let h(r) = 2*r + 13. Let o(y) = -6*g(y) + 10*h(y). Let c be o(10). Differentiate 1 + c + 3 + 3*n**2 + 2 with respect to n.
6*n
Find the second derivative of -60*m - 17*m + 1660*m**2 + 40 - 40 wrt m.
3320
Let u(o) be the first derivative of -1 + 0*o**3 + o + 0*o**4 - 41/5*o**5 + 3*o**2. What is the second derivative of u(k) wrt k?
-492*k**2
Let c(j) = -2*j + 44. Let t be c(21). What is the first derivative of 2*r**3 - 1 + 4 - t*r**3 - 83*r**4 + r**2 + 79*r**4 wrt r?
-16*r**3 + 2*r
Find the third derivative of 87*z**2 + 78 - 78 - 4*z - 713*z**4 - 276*z**4 wrt z.
-23736*z
What is the third derivative of 441*l**4 - 2*l + 74171*l**2 + 234*l**4 - 76773*l**2 wrt l?
16200*l
Suppose -32 = -5*y - 7. Let z = -107 + 114. Find the second derivative of 7*u**5 - 8*u + z*u**5 - 7*u**y - 12*u wrt u.
140*u**3
Let l(w) be the second derivative of 5579*w**5/10 - 155*w**3/6 - 3*w**2/2 - 5*w - 30. Find the second derivative of l(u) wrt u.
66948*u
Let w = 9 + -15. Let z(y) = -2*y - 8. Let s be z(w). What is the derivative of -s + 6 - 3 + 3 - 9*l**3 wrt l?
-27*l**2
Let q(k) be the third derivative of -136*k**2 + 0 - 5/3*k**4 + 0*k - 233/6*k**3. What is the first derivative of q(f) wrt f?
-40
What is the second derivative of -3*d**3 - 47*d**2 + 933*d - 585*d + 0*d**3 + 4*d**3 + 747*d wrt d?
6*d - 94
Let t = -16 - -20. Suppose -2*y = -t - 2. What is the third derivative of -24*d**3 + 2*d**3 - 3*d**2 - y*d**3 wrt d?
-150
Let s(i) = 10543*i**4 + 6*i**2 - 12*i + 14542. Let p(r) = r**4 + r**2 - 2*r - 14. Let u(w) = 6*p(w) - s(w). Find the first derivative of u(m) wrt m.
-42148*m**3
Suppose -8 - 16 = -2*s. What is the second derivative of 3*r**2 + 21*r**3 + s*r**2 - 19*r**3 - 18*r wrt r?
12*r + 30
Find the second derivative of -6 - 26*a - 132*a**4 + 19*a**3 + 29*a - 52 + 115*a**4 wrt a.
-204*a**2 + 114*a
Let j(r) be the first derivative of 11/6*r**3 + 1/2*r**2 - 9*r - 1. Let k(x) be the first derivative of j(x). Find the first derivative of k(u) wrt u.
11
Suppose 2*u + 12 = 6*u. Suppose -u = 10*y - 63. Find the third derivative of 25*x**y + 1710*x**2 - 1694*x**2 - 6*x**6 wrt x.
2280*x**3
Find the third derivative of -8*x**5 + 44 + 23 + 539*x**2 - 13*x**5 - 68 + 19*x**6 wrt x.
2280*x**3 - 1260*x**2
Find the first derivative of -202 - 2608*z**2 - 210 + 140 - 102 wrt z.
-5216*z
Let o(a) = 4*a**3 + a**2 - 4*a + 3. Let w be o(1). Differentiate 17 - 54*r**3 + 24 + w - 6 wrt r.
-162*r**2
Let z(g) be the third derivative of 91*g**6/120 - g**5/60 + 784*g**3/3 + 3974*g**2. Differentiate z(d) wrt d.
273*d**2 - 2*d
Let f be -1*(2304/30)/6*-20. What is the first derivative of -78 + 13389*d - 13371*d + f wrt d?
18
Let u(r) be the first derivative of 36*r**5/5 + r**3 + 9*r**2/2 - 34*r + 350. What is the second derivative of u(p) wrt p?
432*p**2 + 6
What is the second derivative of -13*r**4 + r**3 - r**2 + 7*r**3 + 4653*r - 9*r**3 + 4306*r - 1047*r wrt r?
-156*r**2 - 6*r - 2
Let f(c) be the second derivative of -2203*c**5/20 - 73*c**3/2 - 1466*c. What is the second derivative of f(q) wrt q?
-13218*q
Suppose -2*j = -3*s + 10, -2*j = -2*s + 3*j - 8. What is the third derivative of -d**6 + 18306*d + 25 - 18306*d + 3*d**s - 2*d**2 - 2*d**3 wrt d?
240*d**3 - 12
Find the second derivative of -338*v - 534*v - 2 + 5081*v + 2 + 7616*v**4 wrt v.
91392*v**2
Let g(y) be the second derivative of 43*y**6/3 + 547*y**4/12 - 437*y - 2. Find the third derivative of g(q) wrt q.
10320*q
Let x(a) = 3*a**3 - 1. Let h(s) = 635*s**4 - 9*s**3 + 2267*s + 3. Let t(d) = h(d) + 3*x(d). Find the second derivative of t(o) wrt o.
7620*o**2
Let g(x) be the second derivative of 4*x + 0*x**3 + 7*x**4 - 26*x**2 - 1/10*x**5 + 4. Find the first derivative of g(q) wrt q.
-6*q**2 + 168*q
Let j = 47 - 45. What is the third der
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{
"pile_set_name": "DM Mathematics"
}
|
*3
Find the second derivative of 666*y - 654*y - 27*y**5 - 4 + 4 wrt y.
-540*y**3
Let u(n) be the first derivative of n**8/168 + n**4/6 + n**2/2 - 5. Let i(c) be the second derivative of u(c). What is the second derivative of i(x) wrt x?
40*x**3
Suppose 0 = 5*d - 1 + 6, -4*w + 17 = 3*d. What is the third derivative of -2*r**w + 3*r**2 + 4*r**5 - r**2 - 4*r**5 wrt r?
-120*r**2
Let s(u) be the first derivative of u**2/2 - u + 1. Let b(d) = -2 + 4 + 0. Let x(v) = -b(v) - 3*s(v). Find the first derivative of x(f) wrt f.
-3
Differentiate 3*r**4 + 17 - 4*r**4 + 26*r**2 - 20 with respect to r.
-4*r**3 + 52*r
Let v(h) = 11*h**3 + 26*h + 14. Let r(i) = 12*i**3 + 26*i + 12. Let p(t) = -7*r(t) + 6*v(t). Find the second derivative of p(d) wrt d.
-108*d
Let x(d) be the first derivative of -7*d**3/3 + 9*d**2/2 - 3. What is the second derivative of x(a) wrt a?
-14
Let r(a) be the second derivative of -4*a**6/15 + a**4/6 - 2*a. What is the third derivative of r(g) wrt g?
-192*g
Let h(r) = r + 1. Let z be h(4). Let u = z + 0. What is the third derivative of -4*a**u + a**2 + 3*a**5 + a**2 + 0*a**5 wrt a?
-60*a**2
Let a(b) be the second derivative of -3*b**8/28 - 5*b**4/12 + 8*b. What is the third derivative of a(x) wrt x?
-720*x**3
What is the second derivative of -9*b - 27*b - 11*b + 8*b + 39*b**4 wrt b?
468*b**2
Let h(r) = -2*r + 15*r**2 - 15*r**2 - 3*r**3. Let d(f) = -2*f**3 - f. Let w(p) = -5*d(p) + 4*h(p). Find the second derivative of w(t) wrt t.
-12*t
Let k(n) = -n + 5. Let x be k(5). What is the derivative of -2*l**4 + x + l**3 + 3 - l**3 wrt l?
-8*l**3
Let g(t) = t**3 + 3*t**2 - t. Let o be g(-3). What is the second derivative of 1 + r**2 + 4*r - o*r - 1 wrt r?
2
What is the first derivative of 123*z - 235*z + 1 + 115*z wrt z?
3
Let w(n) be the third derivative of n**7/210 - n**4/6 + 7*n**2. Find the second derivative of w(c) wrt c.
12*c**2
Find the third derivative of -3*o**4 - 2*o**4 + 0*o**4 + 0*o**4 - 12*o**2 wrt o.
-120*o
Let t(i) be the first derivative of 14*i**5/5 + 33*i**2/2 + 36. Find the second derivative of t(o) wrt o.
168*o**2
Let q(m) = m**2 - 7*m + 9. Let c be q(6). Suppose 5*k = -20, -3*k - 12 = 3*b - 0*k. Differentiate -c - h + b*h - h wrt h.
-2
Differentiate -21*w**4 + 5 + 6 + 13 - 2 wrt w.
-84*w**3
Suppose 2 = -3*a - 2*w + 3, 3*a = -w + 5. Find the first derivative of -a + 0 - b + 6 wrt b.
-1
Let f(g) = -2*g**2 - 9*g + 7. Let t be f(-5). Find the third derivative of -10*u**3 + 0*u**3 + 8*u**t + 8*u**3 wrt u.
-12
Find the first derivative of 7 - 40 + 16*x + 4*x wrt x.
20
Suppose 0 = -0*n - 3*n - 9. Let j be n*2*3/(-9). What is the first derivative of -j*k + 3 - 3 + 2 wrt k?
-2
Let h(g) = -g**3 + 4*g**2 - 2*g + 3. Let z be h(3). Find the third derivative of 8*n**6 + 12*n**2 - 2*n**z - 8*n**2 wrt n.
720*n**3
Suppose 0 = -2*j + 5 + 5. Suppose -i = 0, 5*i + 0 = j*r - 15. What is the second derivative of 3*s**3 - s**3 - 3*s**r + 2*s wrt s?
-6*s
Suppose 2*t + 3*t = 10. Suppose -7*k - 4*d = -t*k - 25, -7 = 3*k - 2*d. What is the first derivative of 5*m - 5*m - k + 3*m**2 wrt m?
6*m
Let v be -2*4/(16/(-6)). Find the third derivative of -2*d**v + 3*d**2 + d**2 - 4*d**2 - d**2 wrt d.
-12
Differentiate 194*t**2 - 4*t**4 - 13*t**4 - 19 - 194*t**2 wrt t.
-68*t**3
Let r be 0 - 1 - (-11 - 0). Suppose 3*k = 5*b - r, 4*k - b - 35 = -4*b. What is the third derivative of -2*t**2 + t**2 + 3*t**2 + 3*t**k wrt t?
180*t**2
Let l(a) be the second derivative of -a**3/6 - a**2/2 - a. Let b be l(-3). Differentiate 2 - 5*g**2 - 4 + 4*g**b with respect to g.
-2*g
Let q = 7 - 3. What is the first derivative of 7*a**4 + 1 - 4*a**q - a**4 wrt a?
8*a**3
Let x(q) = q**2 - 2. Let j be x(-2). Suppose 0 = -4*z - j*n + 5 + 5, 4*z + 5*n + 5 = 0. What is the third derivative of -z*w - 3*w**3 + 5*w - 4*w**2 wrt w?
-18
Let l(j) be the third derivative of 3*j**6/40 + 3*j**3/2 + 12*j**2. Find the first derivative of l(c) wrt c.
27*c**2
Suppose w - 4*w = t + 7, t - 3*w = 5. Let f = 1 - t. Differentiate 0 - 1 - f*g**3 + 4*g**3 wrt g.
6*g**2
Let q(n) be the second derivative of -n**10/840 + n**6/90 - n**3/6 + 5*n. Let h(u) be the second derivative of q(u). Find the third derivative of h(v) wrt v.
-720*v**3
Let g(b) = -b**6 - b**5 + b**4 - b. Let w(k) = 10*k**6 + k**5 - k**4 - 10*k**2 + k. Let h(f) = g(f) + w(f). Find the third derivative of h(i) wrt i.
1080*i**3
Let g(v) = 9*v + 8. Let i(c) = 46*c + 41. Let a(j) = -11*g(j) + 2*i(j). Find the first derivative of a(n) wrt n.
-7
Let t(o) be the first derivative of -2*o**2 + 19*o - 14. What is the derivative of t(m) wrt m?
-4
Let c(m) be the first derivative of -m**3 - 14*m - 14. What is the derivative of c(u) wrt u?
-6*u
Let j(v) be the first derivative of v**7/840 + v**5/40 + v**3 - 1. Let l(c) be the third derivative of j(c). What is the second derivative of l(x) wrt x?
6*x
Let x(i) = -4*i**3 - 4*i**2 - i - 1. Let t(f) = f**3 + f**2 - f - 1. Let c(s) = -t(s) + x(s). Find the third derivative of c(q) wrt q.
-30
Let n(q) = -q**3 - q**2 - q + 2. Let k be n(0). Find the third derivative of -2*c**2 + c**5 + k*c**5 + 3*c**2 - 6*c**5 wrt c.
-180*c**2
Let u(z) be the second derivative of -z**4 + 7*z**3/3 - 8*z. What is the second derivative of u(w) wrt w?
-24
Let i(b) be the first derivative of 0*b + 0*b**3 + 5/4*b**4 + 5/2*b**2 - 3. What is the second derivative of i(w) wrt w?
30*w
Let g = -3 - -2. Let m be (g/(-3))/((-1)/(-6)). What is the first derivative of -1 - 2 + 2 - m*d**2 wrt d?
-4*d
Let s = 5 + 0. Let a(g) = g - 5. Let f be a(s). Find the second derivative of f*u**3 + 4*u - 2*u - u**3 wrt u.
-6*u
Let j be 4/6*6/2. What is the second derivative of -2*t**2 + 4*t**2 + 3*t + t**j - 2*t**2 wrt t?
2
Let f(z) = -5*z + 2 - 12 + 11*z + 2*z**2. Let w(n) = 3*n**2 + 5*n - 10. Let c(x) = -5*f(x) + 6*w(x). Differentiate c(a) with respect to a.
16*a
Let l(x) = -x**2 - 7*x - 7. Let c be l(-5). Find the second derivative of c*s**2 + 5*s - 2*s - 7*s**2 wrt s.
-8
Suppose -d - 10 = -5*f, -5*f + 7*d - 3*d + 25 = 0. What is the first derivative of -f + 2 - 3 - 2*t**4 - t**4 wrt t?
-12*t**3
Let t(p) = 20*p + 1. Let j be t(1). Suppose -d - 4 = -3*g - 0*g, 3*d - j = -2*g. What is the second derivative of -x**3 + g*x**2 - 3*x - 3*x**2 wrt x?
-6*x
Let i(n) be the third derivative of -2/3*n**3 + 1/8*n**4 + 3*n**2 + 0*n + 0. What is the derivative of i(y) wrt y?
3
Suppose 7*d - 3*d - 20 = 0. What is the derivative of -2*g + g + d*g + 3 - 2*g wrt g?
2
Let q = 9 - 5. Find the third derivative of q*v**2 - 2*v**3 + 5*v**3 - 2*v**2 wrt v.
18
Find the second derivative of 35*u**2 - 14*u - 18*u - 13*u + 10*u wrt u.
70
What is the second derivative of 12*m**3 - 6*m + 4*m**3 - 16*m**3 + 2 + 21*m**4 wrt m?
252*m**2
Let j(q) be the second derivative of -5*q**4/12 + 17*q**2/2 - 22*q. What is the first derivative of j(u) wrt u?
-10*u
Let o(m) be the third derivative of -m**6/8 + 11*m**3/6 - 12*m**2. Differentiate o(v) wrt v.
-45*v**2
What is the first derivative of j + 0 + 8*j + 0 - 2 wrt j?
9
Let s(m) be the third derivative of m**10/2520 - m**6/120 + m**3/3 - m**2. Let z(t) be the first derivative of s(t). What is the third derivative of z(v) wrt v?
240*v**3
Let y(o) be the first derivative of o**3 + o**2/2 + 3. Find the second derivative of y(z) wrt z.
6
Let y = 26 - 22. Let q(o) be the second derivative of o**2 + 0 + 0*o**y + 2*o - 1/10*o**5 + 0*o**3. What is the derivative of q(n) wrt n?
-6*n**2
Let p(g) be the third derivative of g**7/280 - g**5/120 + g**3/3 - 3*g**2. Let z(o) be the first derivative of p(o). Find the second derivative of z(x) wrt x.
18*x
Let z(o) = o**2 - o + 1. Let u = 9 + -14. Let p(w) = -6*w**2 + 8*w - 5. Let d(y) = u*z(y) - p(y). Find the second derivative of d(x) wrt x.
2
Suppose w = 3*w - 10. Suppose -11 - 4 = -5*u. What is the third derivative of -u*z**w + 0*z**2 + 3*z**2 - 2*z**2 wrt z?
-180*z**2
Let z(c) be the first derivative of -4 + 2*c + 0 + 3*c - 2*c**2 + c. Find the first derivative of z(m) wrt m.
-4
Let w = -15 + 17. Differentiate w*m**2 + 19 + 3*m**4 - 2*m**2 - 28 wrt m.
12*m**3
Let r(m) = 2*m + 1. Let q(y) be the second derivative of y**6/30 - y**3/6 + y**2/2 + 9*y. Let u(f) = q(f) - r(f). Find the second derivative of u(b) wrt b.
12*b**2
Let m be (-37)/(-7) - 2/7. What is the second derivative of -3*d**m - d + 8*d - 3*d**5
|
{
"pile_set_name": "DM Mathematics"
}
|
9678096875
How many years are there in one fifth of a millennium?
200
How many millilitres are there in 29/2 of a litre?
14500
Convert 0.8345655 kilometers to centimeters.
83456.55
How many milligrams are there in 114206.8ng?
0.1142068
What is twenty-one fifths of a century in decades?
42
What is 0.4043311um in centimeters?
0.00004043311
How many millilitres are there in 3/50 of a litre?
60
Convert 5522.265l to millilitres.
5522265
What is 48/5 of a decade in years?
96
What is 3/50 of a litre in millilitres?
60
How many nanograms are there in three tenths of a microgram?
300
How many kilograms are there in 3879.238 tonnes?
3879238
Convert 5046.024l to millilitres.
5046024
How many nanograms are there in 5075.137kg?
5075137000000000
What is three eighths of a hour in seconds?
1350
How many micrograms are there in 49/4 of a milligram?
12250
How many minutes are there in eleven quarters of a week?
27720
How many millimeters are there in 50843.72 centimeters?
508437.2
What is five eighths of a tonne in kilograms?
625
What is thirty-seven fifths of a microsecond in nanoseconds?
7400
How many months are there in fifteen quarters of a century?
4500
What is 0.9242304 millimeters in kilometers?
0.0000009242304
How many nanograms are there in one sixteenth of a milligram?
62500
How many milligrams are there in 3/25 of a gram?
120
Convert 48.35628 decades to years.
483.5628
How many millilitres are there in 55325.5 litres?
55325500
How many micrometers are there in thirty-four fifths of a centimeter?
68000
Convert 1408.7379 months to centuries.
1.17394825
How many millilitres are there in 0.9510943 litres?
951.0943
Convert 12.9941l to millilitres.
12994.1
What is 29/5 of a centimeter in micrometers?
58000
How many kilograms are there in seven halves of a tonne?
3500
How many millilitres are there in 9399.12 litres?
9399120
How many seconds are there in 1/80 of a hour?
45
How many weeks are there in 8.128575 hours?
0.048384375
How many minutes are there in seventy-two fifths of a day?
20736
What is 6.935142 milliseconds in microseconds?
6935.142
How many days are there in 4/7 of a week?
4
What is seven eighths of a litre in millilitres?
875
How many months are there in 4/3 of a year?
16
How many litres are there in 1641.416ml?
1.641416
How many months are there in 81.15819 years?
973.89828
What is 34/5 of a millennium in decades?
680
What is fifty-seven fifths of a litre in millilitres?
11400
How many micrometers are there in 1/10 of a meter?
100000
How many milligrams are there in 45/8 of a gram?
5625
How many millilitres are there in 64/5 of a litre?
12800
What is 1/10 of a day in seconds?
8640
How many seconds are there in 0.3328909 weeks?
201332.41632
What is one fifth of a centimeter in millimeters?
2
What is 3/8 of a kilometer in meters?
375
What is 146.8972nm in kilometers?
0.0000000001468972
What is 7/8 of a gram in milligrams?
875
What is 9.429356 grams in kilograms?
0.009429356
What is 11/4 of a decade in months?
330
How many tonnes are there in 350982.1 kilograms?
350.9821
How many nanometers are there in 0.2714771 millimeters?
271477.1
Convert 12661.06464ns to weeks.
0.0000000000209343
How many millilitres are there in one quarter of a litre?
250
What is 1.6557192us in hours?
0.000000000459922
What is thirty-two fifths of a millimeter in micrometers?
6400
How many months are there in 7/2 of a year?
42
What is 0.661299 hours in microseconds?
2380676400
How many kilograms are there in 49/4 of a tonne?
12250
What is 7/2 of a litre in millilitres?
3500
How many seconds are there in 18/5 of a hour?
12960
What is 734.9564 millilitres in litres?
0.7349564
What is 0.4098343 years in decades?
0.04098343
How many centuries are there in 44.9276 decades?
4.49276
What is 1/4 of a decade in months?
30
How many kilometers are there in 97.3059 meters?
0.0973059
What is one tenth of a century in decades?
1
How many litres are there in 996.2537 millilitres?
0.9962537
How many litres are there in 0.5881354ml?
0.0005881354
How many months are there in three tenths of a century?
360
What is 7/2 of a microgram in nanograms?
3500
Convert 62.02453 meters to kilometers.
0.06202453
Convert 97086880.8ns to weeks.
0.00000016052725
Convert 0.0205601 days to hours.
0.4934424
How many kilograms are there in 3211.044g?
3.211044
How many millilitres are there in twenty-one fifths of a litre?
4200
How many nanometers are there in 1/16 of a millimeter?
62500
What is 2.85234 months in centuries?
0.00237695
What is 6/5 of a millennium in years?
1200
How many microseconds are there in fourty-five quarters of a millisecond?
11250
What is 1/30 of a day in minutes?
48
What is 4.711886 years in decades?
0.4711886
What is seven halves of a minute in seconds?
210
What is 48.00375ml in litres?
0.04800375
What is 94000.38 nanograms in grams?
0.00009400038
What is thirty-four fifths of a minute in seconds?
408
How many years are there in 46/5 of a millennium?
9200
How many nanograms are there in twenty-one fifths of a microgram?
4200
How many hours are there in 799.5034 weeks?
134316.5712
What is seven eighths of a kilogram in grams?
875
What is 3/25 of a meter in millimeters?
120
What is 5/8 of a decade in months?
75
How many months are there in 1/6 of a millennium?
2000
What is 89167.5 millilitres in litres?
89.1675
What is thirty-one fifths of a millennium in months?
74400
How many grams are there in thirteen quarters of a kilogram?
3250
What is 7/2 of a millimeter in micrometers?
3500
What is 77927.7 months in millennia?
6.493975
How many micrograms are there in 5289.429 grams?
5289429000
What is twenty-two ninths of a week in minutes?
24640
How many months are there in 59.8295 years?
717.954
How many months are there in 6/5 of a millennium?
14400
How many centimeters are there in 434626.2 millimeters?
43462.62
How many micrometers are there in three tenths of a centimeter?
3000
What is twenty-one fifths of a litre in millilitres?
4200
What is 426.389 years in millennia?
0.426389
How many millilitres are there in 54/5 of a litre?
10800
How many centimeters are there in 569150.6 millimeters?
56915.06
Convert 153.72114ms to minutes.
0.002562019
How many grams are there in 1/5 of a kilogram?
200
How many millilitres are there in 0.6674128l?
667.4128
Convert 7901.804mg to tonnes.
0.000007901804
Convert 2564.687 years to months.
30776.244
How many milliseconds are there in 3/5 of a second?
600
How many months are there in 12/25 of a millennium?
5760
Convert 532.898541us to weeks.
0.0000000008811153125
What is 0.7833418 weeks in hours?
131.6014224
How many millilitres are there in fifteen quarters of a litre?
3750
How many decades are there in 84.16515 millennia?
8416.515
What is 1/45 of a week in minutes?
224
How many millilitres are there in 8/25 of a litre?
320
How many years are there in 3/5 of a century?
60
Convert 503.0613ml to litres.
0.5030613
What is eighty-one quarters of a meter in centimeters?
2025
How many micrograms are there in 6.251903kg?
6251903000
What is 3/25 of a millennium in years?
120
How many micrograms are there in 45/8 of a milligram?
5625
What is 98.20925 minutes in seconds?
5892.555
What is 14978309.4 nanoseconds in days?
0.0000001733600625
How many millilitres are there in 3/5 of a litre?
600
What is 21/5 of a millimeter in micrometers?
4200
What is 3.597956 millennia in years?
3597.956
How many microseconds are there in 389939.2 nanoseconds?
389.9392
How many minutes are there in 7/2 of a hour?
210
What is 21/2 of a meter in millimeters?
10500
How many milliseconds are there in 68.9752 days?
5959457280
What is 59/5 of a kilometer in meters?
11800
How many millilitres are there in 69/2 of a litre?
34500
What is eleven eighths of a second in milliseconds?
1375
What is 0.3951035 hours in minutes?
23.70621
What is 3922.949 millilitres in litres?
3.922949
Convert 1.695156m to nanometers.
1695156000
What is 1/30 of a minute in milliseconds?
2000
How many millimeters are there in 4.239559nm?
0.000004239559
Convert 455.7032 decades to centuries.
45.57032
What is seventeen halves of a year in months?
102
How many seconds are there in 6528.34 nanoseconds?
0.00000652834
How many seconds are there in 2/27 of a day?
6400
How many minutes are there in five sixths of a we
|
{
"pile_set_name": "DM Mathematics"
}
|
ate u(o(c)).
4*c
Let g(k) = k. Let v(i) = -14*i**2 + 8*i + 5. Let y(c) = 14*c**2 - 7*c - 4. Let o(m) = 4*v(m) + 5*y(m). Determine g(o(j)).
14*j**2 - 3*j
Let o(b) be the second derivative of -b**4/4 + 2*b. Let y(d) = -2*d**3 - 1. Let a be y(-1). Let g(l) = -3 + 2 + a + 2*l. Calculate o(g(z)).
-12*z**2
Let p(f) = -105*f**2 - 11*f. Let n(l) = -12*l. Determine n(p(z)).
1260*z**2 + 132*z
Let j(g) = 95*g**2. Let y(b) = -337*b + 112*b + 110*b + 113*b. Give y(j(m)).
-190*m**2
Let t(s) = -8*s. Let n(w) = 4*w**2 + 69*w - 30. Calculate t(n(q)).
-32*q**2 - 552*q + 240
Let c(n) = 11*n - 4. Let t(y) = 25*y - 9. Let d(a) = -9*c(a) + 4*t(a). Let o(w) = 43*w + 2. Determine o(d(s)).
43*s + 2
Let w(l) be the third derivative of l**4/24 + l**2 + 18*l. Let r(u) = -119*u. Determine w(r(b)).
-119*b
Let o(i) = -1697*i**2 + 858*i**2 + 864*i**2. Let x(b) = -15*b. What is o(x(s))?
5625*s**2
Let w(n) = n**2. Let d(r) = -4*r**2 - 4*r**2 + 5*r**2 + 0*r**2. Let z(m) = -d(m) - 6*w(m). Let p(a) = -6*a**2. Calculate p(z(g)).
-54*g**4
Let j(r) be the second derivative of 5*r**3/6 - 16*r. Let z(l) be the third derivative of -4*l**2 + 1/60*l**5 + 0*l + 0*l**3 + 0*l**4 + 0. Calculate z(j(d)).
25*d**2
Let z(v) = v. Let y(g) be the first derivative of 172*g**3/3 + 107. Calculate y(z(k)).
172*k**2
Let w(n) = 4*n. Let x(i) = -69*i - 54*i + 104*i. Give x(w(d)).
-76*d
Let b(v) be the first derivative of -v**2/2 - 113. Let g(y) = -48*y**2. Calculate g(b(j)).
-48*j**2
Let t(r) = 163*r**2 + 44*r. Let i(o) = -5*o**2. What is t(i(y))?
4075*y**4 - 220*y**2
Let l(u) = -2*u. Suppose 5*c - 5 = -5*t, -5 = 4*c - 5*c + t. Let k(j) be the first derivative of -2/3*j**c - 2 + 0*j + 0*j**2. Give l(k(w)).
4*w**2
Let x(a) = 2*a. Let p(f) be the second derivative of 29*f**3/2 - 148*f. Give x(p(g)).
174*g
Let m(t) = -9*t. Let u(l) = 8*l. Let i(h) = 6*m(h) + 7*u(h). Let p(f) be the third derivative of 33*f**2 + 0*f + 1/6*f**4 + 0*f**3 + 0. Give i(p(z)).
8*z
Let d(n) = -18*n**2 + 762. Let w(a) = 2*a**2. Determine d(w(h)).
-72*h**4 + 762
Let d(g) = 8*g. Let h(l) = 2844*l**2. What is h(d(p))?
182016*p**2
Suppose -r + 0*r + 2158 = -q, r - 2*q = 2156. Let l(t) = -3*t - 2160 + r. Let c(b) = 2*b**2 + 4 - 4. Determine c(l(y)).
18*y**2
Let v(c) = c**2. Let x(u) be the first derivative of 7*u**2 + 170. Determine v(x(w)).
196*w**2
Let m(p) = -p**2. Let w(r) = 207268*r. Determine w(m(u)).
-207268*u**2
Let j(f) be the third derivative of -7*f**5/20 + f**2. Let g(z) = 83152 - z - 83152. Give j(g(i)).
-21*i**2
Let j(c) be the third derivative of -c**4/3 + c**3/6 - 174*c**2. Let f(p) = p**2. What is j(f(g))?
-8*g**2 + 1
Let v(b) = -b**2 - 182559. Let c(u) = -u. Give v(c(x)).
-x**2 - 182559
Let o(z) = 9*z**2 - 3*z. Let l(q) = -10*q**2 + 2*q. Let i(r) = 6*l(r) + 4*o(r). Let c(x) = 16*x**2. Determine i(c(m)).
-6144*m**4
Let r(m) = 19*m. Let u(j) = 6*j + 4. Let l(c) = 7*c + 5. Let i(o) = 4*l(o) - 5*u(o). Calculate r(i(k)).
-38*k
Let a(v) = -40*v. Let q(w) = 11*w + 84. Calculate a(q(x)).
-440*x - 3360
Let r(j) = 3*j. Let g(p) = -3*p. Let d(z) be the first derivative of -8*z**2 - 70. Suppose -5*h + 10 = -0*h. Let a(f) = h*d(f) - 11*g(f). What is r(a(u))?
3*u
Let l(o) = -o. Let a(t) be the third derivative of t**8/1120 - 8*t**5/15 - 10*t**2. Let v(k) be the third derivative of a(k). What is v(l(g))?
18*g**2
Let w(z) = -518*z**2. Let t(k) = k - 14. Calculate t(w(c)).
-518*c**2 - 14
Let z(v) = 16*v**2 + 1. Let y(a) be the first derivative of -a**2/2 - 199. Calculate z(y(k)).
16*k**2 + 1
Let y(f) = 1617*f**2. Let m(l) = -5*l. Give y(m(w)).
40425*w**2
Let d(u) = 1545*u**2 - 12*u. Let m(y) = -6*y. Calculate m(d(x)).
-9270*x**2 + 72*x
Let q(r) = -501*r + 30. Let a(c) = -2*c - 9. What is a(q(h))?
1002*h - 69
Let n(u) = 1704*u**2. Let w(y) = 2*y + 14. Determine w(n(p)).
3408*p**2 + 14
Let x(z) = 13*z**2 - 9*z. Let d(w) = -w**2 - 4*w + 1. Let a be d(-5). Let m(c) = 3*c**2 - 2*c. Let j(u) = a*x(u) + 18*m(u). Let g(b) = -b + 12. What is j(g(l))?
2*l**2 - 48*l + 288
Let b(s) = 3*s**2 + 8. Let i(z) = -4. Let n(f) = -b(f) - 2*i(f). Let u(q) be the third derivative of -q**5/60 - 2*q**2. Determine u(n(d)).
-9*d**4
Let g = -2 + 4. Let k(r) = -4*r**g - 4*r + 4*r + 0*r. Let q(c) = c**2 - 4*c**2 + 2*c**2 + 0*c**2. What is k(q(b))?
-4*b**4
Let v(q) = 8*q**2 - 1. Let y(i) = -2*i - 640. What is v(y(k))?
32*k**2 + 20480*k + 3276799
Let l(x) = -2*x. Let w(u) = -85929*u**2. Calculate w(l(v)).
-343716*v**2
Let o(b) = 241*b + 13. Let g(h) = -2*h**2. What is o(g(c))?
-482*c**2 + 13
Let q(i) = i**2 - i + 1. Let u(z) = 12 - 5 + 1 + 3*z**2 - 6 - 2*z. Let y = 2 - 3. Let f(p) = y*u(p) + 2*q(p). Let m(l) = 15*l. Determine f(m(s)).
-225*s**2
Let q(x) = 5*x. Let o(l) = 5*l. Let w(n) = -3*o(n) + 4*q(n). Let p(y) = -6 - 5 + 11 - 8*y. Determine w(p(i)).
-40*i
Let z(o) = 55*o + 3. Let m(b) = 383*b + 1257*b - 210*b + 77. Let g(n) = 3*m(n) - 77*z(n). Let f(s) = 2*s**2. Determine f(g(t)).
6050*t**2
Let d(j) = 11*j + 6. Let l(i) = -12*i - 8. Let h(a) = -3*d(a) - 4*l(a). Let o(y) = -y**2. Give h(o(b)).
-15*b**2 + 14
Let p(q) be the third derivative of q**5/20 + 11*q**2. Let d(u) = -3. Let g(i) = -3 + i + 2 + 1 - 5. Let n(l) = -5*d(l) + 3*g(l). What is p(n(v))?
27*v**2
Let f(a) = -20332*a**2 - 1656*a - 552. Let l(g) = -184*g**2 - 15*g - 5. Let r(b) = -5*f(b) + 552*l(b). Let x(w) = -w. What is r(x(k))?
92*k**2
Let x(g) be the second derivative of -5*g**4/12 + 3*g**2/2 + 4*g. Let m(j) = 110*j**2 - 65. Let w(c) = 6*m(c) + 130*x(c). Let h(t) = -3*t. Give h(w(f)).
-30*f**2
Let k(a) = -8*a. Let l(f) = -29*f**2 + 6*f + 4. Let r(c) = -32*c**2 + 7*c + 5. Let i(y) = -7*l(y) + 6*r(y). What is k(i(p))?
-88*p**2 - 16
Let b(j) = j. Let n(m) = 752784*m. What is b(n(a))?
752784*a
Let p(x) = 3*x**2 + 46*x. Let h(y) = -206*y. Give p(h(k)).
127308*k**2 - 9476*k
Let i(c) = -2*c. Let q(n) = 1974*n + 506. What is q(i(o))?
-3948*o + 506
Let l(r) = -3*r. Let u(h) = -17*h**2 + 7*h**2 + 3*h**2 + 6*h**2 + 6*h**2. Give u(l(w)).
45*w**2
Let c(l) = -526*l. Let u(x) = -3*x**2 - 80. Determine c(u(v)).
1578*v**2 + 42080
Let x(p) = -2*p. Suppose -3*a = -q + 2*q - 5, -15 = -5*q - 5*a. Suppose -q*t - 10 = -7*t. Let y(u) = 196 + t*u - 196. Give y(x(l)).
-4*l
Let f(g) = g. Let o(s) = -33*s + 1162. What is f(o(l))?
-33*l + 1162
Let v(r) = -12*r + 2*r + 12*r + 3*r**2. Let q(s) = 6*s**2 + 5*s. Let k(z) = 6*q(z) - 15*v(z). Let l(h) = 2*h. Give k(l(o)).
-36*o**2
Let m(i) be the third derivative of 0 + 1/15*i**5 - i**2 + 0*i**3 + 0*i**4 + 0*i. Let y(a) be the second derivative of a**4/4 + 2*a + 1266. Give y(m(k)).
48*k**4
Let m(j) = 22*j. Let a(k) = 8*k**2 - k + 173. Determine m(a(q)).
176*q**2 - 22*q + 3806
Let v(w) = -7*w**2. Let y be ((-679)/(-77) - 5) + (-2)/(-11). Let n(o) be the third derivative of 1/60*o**5 + 0 + 0*o + 0*o**y - 5*o**2 + 0*o**3. Give n(v(d)).
49*d**4
Let c(v) = -v. Let d be (-65)/(-39)*(13 - -2). Let z(h) = -3*h**2 + 2. Let l(m) = m**2 + 22 - 36*m**2 + 3. Let q(y) = d*z(y) - 2*l(y). Calculate q(c(u)).
-5*u**2
Let x(o) = 3*o. Let l(a) be the second derivative of 2*a**4/3 + 3*a + 3. Determine x(l(d)).
24*d**2
Let n(i) = -2*i - 33. Let c(z) = -z - 18. Let q(b) = -11*c(b) + 6*n(b). Let f(h) = -46*h**2. Calculate q(f(v)).
46*v**2
Let c(f) = -f**2. Suppose -6*b + 8*b = 0. Let a(x) be the first derivative of b*x**2 + 0*x + 1/3*x**3 + 5. Give c(a(v)).
-v**4
Let m(x) be the third derivative of 5*x**4/2 + x**2. Let s(i) = 20*i**2 + 6*i + 12. Let w(t) = 3*t**2 + t + 2. Let z(b) = -s(b) + 6*w(b). Give m(z(p)).
-120*p**2
Let f(t) = 2*t**2. Suppose 3*c + x + 4*x - 14 = 0, 4*c + 4*x = 16. Let g(k) be the third derivative of -5/8*k**4 + 0 + 0*k**c + 0*k - 3*k**2. Determine f(g(p)).
450*p**2
Let k(t) = -2*t. Let a(w) = -691*w**2 - 691*w + 691. Let z(n) = n - 1. Let p(m) = -a(m) - 691*z(m). Calculate p(k(g)).
2764*g**2
Let l(t) = 15*t - 124. Let o(q) = 3*q. Calculate o(l(j)).
45*j - 372
Let j(o) = -23*o. Let z(i) = 6262*i. Determine j(z(k)).
-144026*k
Let r(g) = -2*g**2. Suppose -10*f + 0*f = -100. Let z = 17 - 5. Let k(t) = 17*t + 2 + f - z. Calculate r(k(p)).
-578*p**2
Let k(p) = -8*p - 6. Let h(w) = -5 - 13*w + 3*w + 3*w. Let u(f) = 6*h(f) - 5*k(f). Let m(s) = s**2. Calculate u(m(i)).
-2*i**2
Let j(i) = -2*i**2. Let x be ((-26)/4)/(7/(-14)). Let d = x - 9. Let v(q) = 4*q + 6*q + q - d*q. Determine v(j(r)).
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{
"pile_set_name": "DM Mathematics"
}
|
Let g(o) = 8*o - 5. Let f(y) = -64 - 16*y - 7*y + 43 + 35. What is m*f(b) + 17*g(b)?
-2*b - 1
Let i(f) = -11*f - 15. Suppose 2*j - 6*j - 40 = 4*m, -3*j = -3*m - 48. Let w(p) = -5*p - 7. Give m*w(r) + 6*i(r).
-r + 1
Let i(p) = -3*p**3 - 7*p**2 - 7*p - 9. Let o be (-29)/4 + (-1)/(-4). Let t(k) = -7*k**2 + 8*k**2 - 4*k - 2*k**3 - 5 - 4*k**2 - k**2. Calculate o*t(x) + 4*i(x).
2*x**3 - 1
Let p(f) = -5*f - 9. Let r(k) = -2*k - 4. Let b be 2/2 - (-2 + 0). Let t(j) = -5*j + 4*j + 3*j + 17 - 4. Let u be t(-10). Give b*p(h) + u*r(h).
-h + 1
Let t(x) = -x - 15. Let j be t(-7). Let y(o) = 6*o**2 + 8*o - 9. Let k(v) = 2*v**2 + 3*v - 3. What is j*k(s) + 3*y(s)?
2*s**2 - 3
Let a(v) = -v + 4. Let h(f) = f - 5. Let r(o) = 13*o - 7*o - 11*o - o**2. Let l be r(-4). Calculate l*h(w) + 5*a(w).
-w
Let f(h) be the first derivative of -21*h**2/2 + 11*h + 2. Let w(n) = -4*n + 2. Let v be (11/(-4))/(2/(-8)). Calculate v*w(q) - 2*f(q).
-2*q
Let s(a) = 4*a**2 - 5. Let g(q) = 9 - 2*q - 10 + 0*q. Let c be g(-3). Let k(h) = 3*h**2 - 4. What is c*k(j) - 4*s(j)?
-j**2
Let k(c) = 4*c + 4. Let l(f) = 4*f + 5. Let h(j) = 3*k(j) - 2*l(j). Let s be (-5)/(5/(-4)) - -1. Let r(d) = -6*d - 3. Give s*r(y) + 8*h(y).
2*y + 1
Let s(a) = 5*a**3 - a + 7. Let q(h) = -2*h**3 - 3. What is 7*q(p) + 3*s(p)?
p**3 - 3*p
Let v(g) = 96*g**2 + 24*g + 24. Let i(u) = 19*u**2 + 5*u + 5. Calculate -24*i(q) + 5*v(q).
24*q**2
Let o(z) be the third derivative of -z**6/720 + z**5/12 - 4*z**2. Let p(q) be the third derivative of o(q). Let y(h) = -2*h - 4. Calculate -4*p(m) + y(m).
-2*m
Let b(i) = -i**2 + i. Let v(p) = -2*p + 184 - 183 + 6*p**2 - p. What is 4*b(h) + v(h)?
2*h**2 + h + 1
Let h(a) = a**2 - 1. Let p(j) = -2*j**3. Let o(y) = -2*h(y) - p(y). Let d(w) = w**3 - w**2 + 1. Let k = 2 + -1. Calculate k*d(b) - o(b).
-b**3 + b**2 - 1
Let q(n) = 2*n - 2. Let g = -1 - -1. Let a(d) = -2*d - 4 + g*d**3 - 3*d**3 + 7*d + 4*d**3. Calculate 2*a(j) - 5*q(j).
2*j**3 + 2
Let c(l) = 4*l**2 - 3. Suppose 4*u = 5*u. Let x(b) = 2*b**2 + 0 + 9*b**2 + u - 8. Determine 8*c(d) - 3*x(d).
-d**2
Let v(r) = -60*r - 5. Let j(x) = -61*x - 6. What is -4*j(h) + 5*v(h)?
-56*h - 1
Let t(r) = 3*r**3 + 4*r**2 + r + 2. Let j(n) = 3*n**3 + 5*n**2 + n + 2. What is 4*j(y) - 5*t(y)?
-3*y**3 - y - 2
Suppose 2 - 14 = 2*m. Let h(r) = -10*r + 7. Let l(k) = -9*k + 6. Calculate m*l(x) + 5*h(x).
4*x - 1
Let g(o) = -6*o**2 - 4*o - 4. Let k(a) = a**2 + a + 1. Suppose 0 = 3*b + 18 - 30. Calculate b*k(j) + g(j).
-2*j**2
Let o(v) = 3*v + 8. Let t(y) = -13*y - 33. Calculate -18*o(g) - 4*t(g).
-2*g - 12
Let s(i) = i**3 + 3*i**2 + 3*i - 2. Let c(a) = 2*a**3 + 4*a**2 + 3*a - 3. What is -4*c(u) + 6*s(u)?
-2*u**3 + 2*u**2 + 6*u
Let o(g) = -20*g**2 - 2. Let d(r) = 41*r**2 + 5. Determine -4*d(l) - 9*o(l).
16*l**2 - 2
Let o(g) = -11*g. Let l(t) = 5*t. Let p(i) = -5*l(i) - 2*o(i). Let b(m) = m**3 + 6*m**2 - 8*m - 3. Let c be b(-7). Let s(q) = -3*q. Give c*s(n) - 3*p(n).
-3*n
Let o(k) = 9*k**2 + 9*k - 11. Let b(j) be the first derivative of 5*j**3/3 + 5*j**2/2 - 6*j - 11. Give -11*b(u) + 6*o(u).
-u**2 - u
Let y(k) = 3*k**3 - 5*k**2 + 3*k - 5. Let z(n) = -3*n**3 + 6*n**2 - 4*n + 6. Suppose -4*q = -11*p + 8*p + 20, 0 = 4*p - 2*q - 20. What is p*y(l) + 3*z(l)?
3*l**3 - 2*l**2 - 2
Let d(z) = -z. Let x(v) = 4*v. What is 20*d(f) - x(f)?
-24*f
Let k(p) = -6*p - 8. Let t(g) = 13*g + 17. Give -7*k(i) - 3*t(i).
3*i + 5
Let d(f) = 18*f**2 + 16*f - 13. Let o(r) = -9*r**2 - 8*r + 6. What is 6*d(b) + 13*o(b)?
-9*b**2 - 8*b
Suppose 3*y - 3 = 18. Let i(h) = 8*h**3 + 6*h**2 - 7*h - 7. Let l = 0 + 6. Let t(q) = -7*q**3 - 5*q**2 + 6*q + 6. Determine l*i(j) + y*t(j).
-j**3 + j**2
Let j = 64 - -90. Let l(x) = -2 - j*x + 4*x**2 + 149*x - 5*x**2. Let z(a) = 3*a**2 + 14*a + 6. Determine 8*l(m) + 3*z(m).
m**2 + 2*m + 2
Let s(j) = -22*j**2 + 6*j. Let v(g) = -44*g**2 + 11*g. Calculate 11*s(w) - 6*v(w).
22*w**2
Let d(n) = -3*n**3 - 2*n**2 + 9*n + 4. Let i(s) = 16*s**3 + 11*s**2 - 44*s - 21. Calculate -11*d(u) - 2*i(u).
u**3 - 11*u - 2
Let f(j) = 30*j + 21. Let r(l) = 6*l + 4. Let c(z) = 2*f(z) - 11*r(z). Let q = 3 + 3. Let o(y) = -5*y - 2. What is q*c(n) - 7*o(n)?
-n + 2
Let v(l) = -2 - 9*l**3 - 5*l**2 - 5 + 0*l**2. Let n = -3 + 8. Let k(o) = -13*o**3 - 7*o**2 - 10. Calculate n*k(z) - 7*v(z).
-2*z**3 - 1
Let u(j) = -6*j**2 + 3*j + 14. Let m(a) = -7*a**2 + 4*a + 14. Calculate -3*m(t) + 4*u(t).
-3*t**2 + 14
Let c(u) = -4*u**3 - 3*u**2 + 4*u + 2. Let n(j) = -21*j**3 - 15*j**2 + 19*j + 11. Give 11*c(h) - 2*n(h).
-2*h**3 - 3*h**2 + 6*h
Suppose 45 = 5*d + 4*g + g, -3*d + 31 = 4*g. Let b(n) = 3*n - 8. Let m(y) = y - 1. Determine d*m(a) - b(a).
2*a + 3
Let m(r) = 3*r**3 + 2*r**2 - 2. Let n = 0 - -2. Let u(y) = 4*y**3 + 3*y**2 - 3. Suppose -11*b - 27 = -2*b. Calculate b*m(w) + n*u(w).
-w**3
Let l(w) = -7*w**2 + 3*w + 7. Let o(u) = u**2 + 21*u + 26. Let i be o(-20). Let r(g) = g**2 - 1. Calculate i*r(q) + l(q).
-q**2 + 3*q + 1
Let m(c) = 1. Let i(x) = x - 5. Let s(b) = -i(b) - 5*m(b). Suppose -5*f = -2*f - 4*z - 25, f = -2*z + 5. Let d(l) = -2*l. Give f*s(p) - 4*d(p).
p
Let o(q) = 9*q**2 + 7*q - 3. Let j(k) = -4*k**2 - 3*k + 2. Determine 7*j(v) + 3*o(v).
-v**2 + 5
Let w(d) = 6*d**3 + 5*d - 4. Let b(g) = 18*g**3 + 14*g - 11. Calculate 4*b(t) - 11*w(t).
6*t**3 + t
Let q(p) = p + 1. Let f(z) = 18*z + 4. What is -f(l) + 4*q(l)?
-14*l
Let w = 3 - -1. Let l(s) = -7*s**2 - 3*s - 8. Let p(f) = 3*f**2 + 2*f + 4. Let a(k) = -2*l(k) - 5*p(k). Let q(y) = 2*y**2 + 7*y + 7. Determine w*q(x) + 7*a(x).
x**2
Let a(p) = -p**2 + p. Let y(s) = 34*s. Give -34*a(u) + y(u).
34*u**2
Let z(n) be the first derivative of 7/2*n**4 - 7*n**2 + 8*n + 0*n**3 + 2. Let t(u) = -9*u**3 + 9*u - 5. Give 8*t(c) + 5*z(c).
-2*c**3 + 2*c
Let x(i) = i**2 - 3*i + 0*i + 9*i - 6. Let v(o) = -o + 1. Give -6*v(m) - x(m).
-m**2
Let v(c) be the second derivative of c**2/2 + 60*c. Let l(j) = j - 9. What is -4*l(u) - 36*v(u)?
-4*u
Let f(j) = -8*j + 7. Let l(u) = -7*u + 1. Let q(g) = -7*g + 2. Let y(b) = -4*l(b) + 5*q(b). What is -6*f(h) + 7*y(h)?
-h
Let x(m) = 3*m**3 + 4*m**2 + 6*m + 4. Let i = 20 + -24. Let c(g) = 7*g**3 + 9*g**2 + 13*g + 9. Calculate i*c(p) + 9*x(p).
-p**3 + 2*p
Let c(n) = -3*n**2 - 17*n - 10. Let m(a) = 2*a**2 + 9*a + 5. What is 3*c(z) + 5*m(z)?
z**2 - 6*z - 5
Let q be -1 - -9 - (-4 + 3). Let k = 13 - q. Let z(w) = w**2 + 0*w**2 - k + w**2 + 4*w. Let y(b) = -5*b**2 - 9*b + 9. Determine 4*y(a) + 9*z(a).
-2*a**2
Let i(j) = j + 1. Let k(b) = 2*b - 4. Let p(w) = -1. Let n(g) = k(g) - 6*p(g). Let d(a) = 3*i(a) - 2*n(a). Let y(r) = -1. Determine d(t) - y(t).
-t
Let d(y) = y**2 - 2*y - 2. Suppose -3*k - 183 = -30. Let p(r) = 8*r**2 - 17*r - 17. Calculate k*d(a) + 6*p(a).
-3*a**2
Let v(r) = -2*r**2 - 4*r - 1. Let a(t) = -6*t**2 - 11*t - 3. Let q be (-1)/(14/(-8) + 2). Determine q*a(d) + 11*v(d).
2*d**2 + 1
Let j(q) = 9*q**3 + 2*q + 1. Let b(o) = -26*o**3 - 6*o - 3. Give 3*b(y) + 8*j(y).
-6*y**3 - 2*y - 1
Let l(c) = 10*c**3 + 9*c**2 - 5*c + 9. Let i(y) = 15*y**3 + 13*y**2 - 7*y + 13. Calculate -5*i(g) + 7*l(g).
-5*g**3 - 2*g**2 - 2
Let s(r) = 1. Let j(p) = 14*p - 2 - 11*p - 5*p. Suppose -2*c + 5 = -4*t + 5*t, 12 = 4*c. Give t*j(f) - 2*s(f).
2*f
Let z(v) = v. Let w(f) = -f - 19. Give w(u) + 3*z(u).
2*u - 19
Let t(d) = 4*d**3 - 2*d**2 + 5. Let n(p) = p**2 - p - 1. Let x(b) = -6*b**3 - 2*b**2 + 5*b - 2. Let v(c) = -5*n(c) - x(c). Calculate 7*t(s) - 5*v(s).
-2*s**3 + s**2
Let q(h) = 7*h + 7. Let z(v) be the third derivative of -5*v**4/8 - 5*v**3/2 + 7*v**2. Calculate 13*q(a) + 6*z(a).
a + 1
Let y(l) = l**3 - l. Let u(q) = 7*q**3 + q**2 - 4*q + 4. Determine u(v) - 4*y(v).
3*v**3 + v**2 + 4
Let u(r) = 6*r**2 - 2*r + 1. Let f be u(1). Let v(i) = -4*i**3 - 9*i**2 - 3. Let l(b) = -6*b**3 - 13*b**2 - 4. What is f*l(p) - 7*v(p)?
-2*p**3 - 2*p**2 + 1
Let h = 2 - -1. Suppose -8 = -z - h. Let m(l) = 6*l + 2. Let o be (1/2)/(2/16). Let q(s) = -7*s - 2. Determine o*q(w) + z*m(w).
2*w + 2
Let l(r) = -2*r - 14. Suppose 0 = 4*k - b + 19, 5*k - 4*b - 14 = 7*k. Let c(t) = t + 5. Calculate k*l(d) - 14*c(d).
-4*d
Suppose 26 = 3*v - 4*x, -8*v = -3*v + 3*x - 24. Let k(g) = -9*g**2 + 6*g. Let d(p) = 8*p**2 - 5*p. Give v*k(b) + 7*d(b).
2*b**2 + b
Let v(b) = -b**2 - 2*b + 1. Let g(l) = -l**2 - 6*l**2 - 1 + 4 + 3*l**2 - 7*l. Calculate 2*g(q) - 7*v(q).
-q**2 - 1
Let
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{
"pile_set_name": "DM Mathematics"
}
|
32*j + 30 = 35*j for j.
10
Solve 0 = -97*x + 124*x + 216 for x.
-8
Solve -56 = -27*f - 137 for f.
-3
Solve 14*y = 90 + 8 for y.
7
Solve 23*u = 16*u - 35 for u.
-5
Solve 0 = 22*d - 24*d + 6 for d.
3
Solve 92*o + 442 = -202 for o.
-7
Solve 22 = -36*b + 166 for b.
4
Solve 13*a = 5*a for a.
0
Solve 14*j = 97 - 41 for j.
4
Solve -111*s = -108*s + 6 for s.
-2
Solve 2*b = 143 - 149 for b.
-3
Solve 12 + 13 = -5*t for t.
-5
Solve -33*m + 5 = -34*m for m.
-5
Solve 6 = -25*f + 106 for f.
4
Solve 66*m + 70 = 31*m for m.
-2
Solve 39 = 6*w + 21 for w.
3
Solve -3*g = 6*g - 54 for g.
6
Solve -114 = 55*y - 36*y for y.
-6
Solve 2*a + 176 = 176 for a.
0
Solve 5*b = -49 + 69 for b.
4
Solve 28*s = 24*s - 8 for s.
-2
Solve 0 = 2*q - 8 + 16 for q.
-4
Solve 102*a - 118*a = 48 for a.
-3
Solve -30*w + 5 - 35 = 0 for w.
-1
Solve -5*d + 3*d - 8 = 0 for d.
-4
Solve 7 = -20*u - 93 for u.
-5
Solve 304*f = 315*f - 22 for f.
2
Solve -33*a + 144 = -49*a for a.
-9
Solve -24*f + 38*f - 17*f = 0 for f.
0
Solve 3*s = -2*s for s.
0
Solve -13*c + 16 = -10 for c.
2
Solve 6 = -13*p - 59 for p.
-5
Solve -37*m + 158 = 42*m for m.
2
Solve 13*t + 4580 - 4554 = 0 for t.
-2
Solve -159 + 167 = -x for x.
-8
Solve 45*r - 70 = 59*r for r.
-5
Solve -7 = -11*g - 40 for g.
-3
Solve 0 = 4*a - 29 + 53 for a.
-6
Solve 14*o + 10 + 60 = 0 for o.
-5
Solve 46 = 34*o - 22 for o.
2
Solve -109*w = -99*w - 50 for w.
5
Solve -50 = 10*y - 160 for y.
11
Solve -4*y - 2*y = -30 for y.
5
Solve -3*k + 4 - 10 = 0 for k.
-2
Solve -14*c + 50 = -4*c for c.
5
Solve -11*s + 12 = -17*s for s.
-2
Solve 603*l - 24 = 597*l for l.
4
Solve j + 4*j + 15 = 0 for j.
-3
Solve 0 = 7*v - 50 + 78 for v.
-4
Solve 17*g = -6 - 28 for g.
-2
Solve -15 = 61*x - 64*x for x.
5
Solve -8*p + 4 = 68 for p.
-8
Solve 8*l - 6*l + 6 = 0 for l.
-3
Solve -19*s + 36 + 2 = 0 for s.
2
Solve -46*x = -61*x - 15 for x.
-1
Solve 12*v = 6*v for v.
0
Solve 3 = -12*q + 13*q for q.
3
Solve 7*m + 2*m = -9 for m.
-1
Solve -36 = 3*v - 42 for v.
2
Solve 71*b = 82*b - 66 for b.
6
Solve -24*z - 30 = -14*z for z.
-3
Solve 54*j - 38*j + 160 = 0 for j.
-10
Solve -14*w - 27 = 29 for w.
-4
Solve 39*c - 5 = 40*c for c.
-5
Solve 0 = 3*q - 579 + 588 for q.
-3
Solve -3*q = -10 + 7 for q.
1
Solve 8*b - 40 = -12*b for b.
2
Solve -15*d - 50 = -5*d for d.
-5
Solve -6*m + 5 - 17 = 0 for m.
-2
Solve q - 2*q = -5*q for q.
0
Solve -t - 125 = -127 for t.
2
Solve 11 = -16*k - 5 for k.
-1
Solve -15*u = -9*u + 12 for u.
-2
Solve -1511 = 6*k - 1523 for k.
2
Solve -3*j + 3 = -2*j for j.
3
Solve 27*u = -148 - 41 for u.
-7
Solve 0 = 100*b - 101*b + 2 for b.
2
Solve -40 = 36*f - 4 for f.
-1
Solve -46*a = -82*a - 288 for a.
-8
Solve -29 = 10*a + 11 for a.
-4
Solve -3*w = w + 16 for w.
-4
Solve -26*f = -142*f - 464 for f.
-4
Solve -18*x = -104 - 40 for x.
8
Solve -14 + 92 = -13*q for q.
-6
Solve -14 = 9*b - 2*b for b.
-2
Solve 24*d = 28*d - 20 for d.
5
Solve 0*k - 2*k = k for k.
0
Solve -26*o + 10*o = -80 for o.
5
Solve -14 - 358 = -62*z for z.
6
Solve -57*y + 23 = -91 for y.
2
Solve -6*v = -3*v - 12 for v.
4
Solve -269*p - 28 = -265*p for p.
-7
Solve 221 = -5*x + 196 for x.
-5
Solve 11*y + 53 = -13 for y.
-6
Solve -4*a = 10 + 6 for a.
-4
Solve 74*f - 5 = 79*f for f.
-1
Solve 309 + 19 = -41*p for p.
-8
Solve 4*l + 41 = 17 for l.
-6
Solve v + 321 - 326 = 0 for v.
5
Solve 0 = -14*g + 7*g + 35 for g.
5
Solve 0 = -86*o + 98*o - 48 for o.
4
Solve -10*t = 6*t + 96 for t.
-6
Solve 0 = -26*i + 21*i for i.
0
Solve 38*j - 41*j = 0 for j.
0
Solve -88*x + 28 = -81*x for x.
4
Solve 13*h - 12*h = -5 for h.
-5
Solve 0 = 8*z - 306 + 258 for z.
6
Solve -5*y - 55 = -40 for y.
-3
Solve -1352*p = -1345*p + 28 for p.
-4
Solve -2*x - 36 = -22 for x.
-7
Solve 7529*h + 48 = 7535*h for h.
8
Solve -33*y + 17*y = 96 for y.
-6
Solve -8*g + 14*g = -36 for g.
-6
Solve 2777*u + 162 = 2795*u for u.
9
Solve 2*p = 11 - 19 for p.
-4
Solve -27 = -21*x + 57 for x.
4
Solve -22*f + 13*f + 9 = 0 for f.
1
Solve 22*n + 6 = -126 for n.
-6
Solve -15*m = 13*m for m.
0
Solve -b = -4*b - 9 for b.
-3
Solve -2*u = -18*u + 32 for u.
2
Solve 5*n = 2*n - 6 for n.
-2
Solve 138*m = 926 + 454 for m.
10
Solve -152 + 575 = 47*g for g.
9
Solve -34*p - 141 = 63 for p.
-6
Solve -3402*v - 25 = -3407*v for v.
5
Solve -3*t = -t for t.
0
Solve -111*h = -103*h + 16 for h.
-2
Solve 6*l = -29 + 23 for l.
-1
Solve -6*k = -70 + 70 for k.
0
Solve -29*g - 54 = -11*g for g.
-3
Solve -35*o + 412 - 97 = 0 for o.
9
Solve 9 = b - 4*b for b.
-3
Solve -2819*q + 2828*q - 18 = 0 for q.
2
Solve -52*j + 154 + 106 = 0 for j.
5
Solve 12*l = 18*l - 18 for l.
3
Solve 0 = 21*d - 28*d + 7 for d.
1
Solve -29*f + 43 - 72 = 0 for f.
-1
Solve 68 = -5*x + 78 for x.
2
Solve 0 = 1966*m - 1976*m - 40 for m.
-4
Solve w = 22 - 21 for w.
1
Solve -36*u + 92 = -13*u for u.
4
Solve 0 = -51*l - 195 - 111 for l.
-6
Solve -24 = 11*m - 79 for m.
5
Solve -11 = -28*s + 17*s for s.
1
Solve 11*r + 63 = 32*r for r.
3
Solve 0 = 3*d - 87 + 78 for d.
3
Solve 8*l - 114 = -122 for l.
-1
Solve -6 = -95*o + 93*o for o.
3
Solve 0 = -5*x - 0*x + 25 for x.
5
Solve 507 = 2*c + 501 for c.
3
Solve j + 82 = 86 for j.
4
Solve -67*s = -73*s - 36 for s.
-6
Solve -135 + 145 = -5*c for c.
-2
Solve 19*q = 16*q - 6 for q.
-2
Solve -2*n = 646 - 638 for n.
-4
Solve 0 = -3*b + b - 12 for b.
-6
Solve -11*r - 84 = 10*r for r.
-4
Solve 0 = 130*z - 158*z + 140 for z.
5
Solve -3 + 0 = -u for u.
3
Solve 6*r - 30 + 72 = 0 for r.
-7
Solve 2*w + 12 - 4 = 0 for w.
-4
Solve 202 - 22 = 20*s for s.
9
Solve 0 = -6*o + 35 - 11 for o.
4
Solve 884*f = 882*f + 12 for f.
6
Solve 56*q + 29 + 27 = 0 for q.
-1
Solve -460*u = -446*u + 56 for u.
-4
Solve 4706*w - 12 = 4694*w for w.
1
Solve 7*n = 3*n + 12 for n.
3
Solve 36*f - 159 = -17*f for f.
3
Solve 77*a = 2*a - 450 for a.
-6
Solve 0 = 4*j - 0*j + 8 for j.
-2
Solve 0 = -19*r + 46 + 11 for r.
3
Solve -4*p + 318 = 290 for p.
7
Solve 7754*d - 7770*d = -48 for d.
3
Solve -4 = 2*l + 2 for l.
-3
Solve 17*j = 12*j for j.
0
Solve 5*l + 41 = 16 for l.
-5
Solve -26*r = 6*r + 128 for r.
-4
Solve -5 = 5*y - 10*y for y.
1
Solve 8*r - 6*r = -10 for r.
-5
Solve 0 + 0 = -5*t for t.
0
Solve -9*n + 5*n = 20 for n.
-5
Solve 0 = -154*g + 155*g + 6 for g.
-6
Solve -60 - 220 = 40*f for f.
-7
Solve 0 = 6*t + 15 - 21 for t.
1
Solve -36*z + 40*z - 12 = 0 for z.
3
Solve -50 - 65 = 23*t for t.
-5
Solve 4*a - 6*a = 2 for a.
-1
Solve -7*k + 18 = -10 for k.
4
Solve 27*o = 44*o + 51 for o.
-3
Solve -6*n = -14*n - 32 for n.
-4
Solve 8 = -10*i - 32 for i.
-4
Solve 21 = 30*d - 51*d for d.
-1
Solve -37*q - 171 = 51 for q.
-6
Solve -1466*j - 88 = -1488*j for j.
4
Solve 468 = -11*m + 589 for m.
11
Solve -5*y = -13 - 7 for y.
4
Solve 19*w - 2*w = -34 for w.
-2
Solve -7*u + 133 = 154 for u.
-3
Solve 6*c = 184 - 166 for c.
3
Solve 21 = 23*i + 44 for i.
-1
Solve -106*k + 128*k = -110 for k.
-5
Solve 8*k = 16*k - 16 for k.
2
Solve 0 = 182*p - 190*p + 24 for p.
3
Solve -6*y + 7*y = 0 for y.
0
Solve 202*z = 200*z + 8 for z.
4
Solve -5 = -83*n + 88*n for n.
-1
Solve 2*f = -3 - 7 for f.
-5
Solve -8*f - 16 = -48 for f.
4
Solve 10*n + 18*n - 56 = 0 for n.
2
Solve 0 = 32*z + 59*z + 182 for z.
-2
Solve 2452*d + 1 = 2451*d for d.
-1
Solve 3*c = -4*c - 7 for c.
-1
Solve -m + 230 = -47*m for m.
-5
Solve -3*k - 3*k = -2*k for k.
0
Solve 0 = 61*l - 58*l - 12 for l.
4
Solve 68*g = 305 + 171 for g.
7
Solve 124 = -4*j + 104 for j.
-5
Solve 0*k + 6*k = -18 for k.
-3
Solve 0 = -5*q + 8 - 43 for q.
-7
Solve 26 = 7*z - 2 for z.
4
Solve -5*t - 1 = -1 for t.
0
Solve 0 = 42*r - 10*r + 32 for r.
-1
Solve -141 = -53*n + 336 for n.
9
Solve -3*s - 17 + 23 = 0 for s.
2
Solve -4*s = -5 - 7 for s.
3
Solve 30*u = 24*u - 24 for u.
-4
Solve -14*l - 8*l - 88 = 0 for l.
-4
Solve -l = -10*l + l for l.
0
Solve 3*d - 16*d - 65 = 0 for d.
-5
Solve 2*i - 1 = -5 for i.
-2
Solve l + 10 = 14 for l.
4
Solve -6*k + 13 - 7 = 0 for k.
1
Solve 1145*h - 1147*h - 6 = 0 for h.
-3
Solve -3*l = 487 - 481 for l.
-2
Solve 3*d + d = 6*d for d.
0
Solve -207*p = -231*p - 120 for p.
-5
Solve -38*n - 21 = 17 for n.
-1
Solve 23*y + 80 = 7*y for y.
-5
Solve -4*b - 5 = -9 for b.
1
Solve 3*y = -2*y - 10 for y.
-2
Solve 4*v - 9 = -21 for v.
-3
Solve 0 = 44*n + 8*n + 520 for n.
-10
Solve -7*h = 8*h - 75 for h.
5
Solve 26*q = 12*q for q.
0
Solve 1 + 4 = 5*n for n.
1
Solve 13*m - 1 + 14 = 0 for m.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
est common divisor of 23 and v?
23
Suppose -203 = 5*p - 783. Suppose -11 = -2*d + 47. Calculate the greatest common divisor of p and d.
29
Suppose 624 = 16*r - 352. What is the greatest common divisor of r and 183?
61
Let o be ((-56)/10 - -2)*(-40)/24. Calculate the highest common factor of 39 and o.
3
Let i be 58 + -1 + 2 + 1. Let m = -21 - -24. Suppose v - m*j = -j + 22, 2*v - 5*j = 43. Calculate the greatest common factor of v and i.
12
Let a = 127 - 122. Calculate the highest common divisor of a and 2.
1
Let z be 5 + 19*(-3 + 22). Suppose -299 = -5*n + z. What is the greatest common divisor of 19 and n?
19
Let p(w) = -28*w - 242. Let j be p(-10). Suppose -3*q = -3*v - 276, 3*q + 5*v = -2*q + 490. Calculate the greatest common factor of j and q.
19
Suppose 5*r = 65 - 10. Let m be -2*44*(0 + -1). Let g = 187 - m. Calculate the highest common divisor of g and r.
11
Let t(i) = 3*i + 2*i**2 - 3 - 1 - 4. Let o be t(-4). Suppose 0 = 2*h - 76 + o. Calculate the highest common divisor of 8 and h.
8
Suppose 0 = -4*v - 2201 + 5613. Let f be 20/190 - v/(-19). Calculate the highest common factor of f and 15.
15
Let o(g) = -9*g + 40. Let f be o(5). Let n be ((-26)/f)/(1 - (-136)/(-140)). What is the highest common divisor of 26 and n?
26
Suppose 9*o - 3*q = 14*o - 122, 4*q = 16. What is the greatest common factor of 1034 and o?
22
Let m(u) = -u**3 + 5*u**2 - 3*u + 2. Let y be m(4). Let s be (-5 - -35)*y/5. Let q = s - 16. What is the highest common factor of 40 and q?
20
Let j = -578 - -753. Calculate the greatest common factor of 275 and j.
25
Let i(b) = -b**3 - 12*b**2 - 9*b + 24. Let f be i(-11). Suppose -4*m = -3*g - 713 + 182, -399 = -3*m + f*g. Calculate the highest common factor of 45 and m.
45
Let h = -148 - -172. Calculate the highest common divisor of h and 84.
12
Suppose 2*b - 81 = 3*w, 7*b - 2*b - 4*w - 213 = 0. Calculate the highest common factor of 735 and b.
15
Let n = 89 - 23. Suppose -592 + 614 = q. What is the greatest common factor of n and q?
22
Let q be 50 - (32/8 + -4 + -2). Calculate the greatest common divisor of 442 and q.
26
Let f be ((-261)/(-58))/(1/8). Calculate the highest common divisor of 132 and f.
12
Let g(n) = -n**2 + 8*n - 9. Let r be g(8). Let z = r + 8. Let j be 245/14 + z/(-2). What is the greatest common factor of 12 and j?
6
Suppose 5 = 4*f - 3*f. Suppose 0*d = -f*d + 525. Suppose 4*o - 7*o = -d. Calculate the greatest common divisor of o and 7.
7
Let h = -21 - -24. Suppose -1 + 3 = -2*b, h*b - 13 = -4*n. Suppose n*m - 32 - 25 = -5*g, m = 3. Calculate the greatest common factor of 9 and g.
9
Suppose -5*i = -i - 5*k - 31, 4*i - k = 19. Suppose 0*l = -4*l + i. Let n = 2 - l. Calculate the highest common factor of 5 and n.
1
Suppose 60*t = 64*t - 1584. Calculate the highest common divisor of t and 72.
36
Let k be -33 - (-9 + -1 + 6). Let h = 124 + -65. Let g = h + k. What is the greatest common divisor of 20 and g?
10
Let j(m) = 38*m + 2. Let w be j(1). What is the greatest common factor of w and 50?
10
Let l be 98/3*(-5)/(70/(-36)). Calculate the greatest common divisor of l and 6.
6
Let l = 29 - 26. Suppose l*h - 7 = -1. Suppose -h*r = -3*b - 78, r - b = b + 38. What is the greatest common factor of 6 and r?
6
Let w(i) be the third derivative of -11*i**4/24 - 2*i**3/3 - 15*i**2. Let z be w(-11). Calculate the highest common divisor of z and 13.
13
Let p(x) = -x**3 - 19*x**2 + 20*x. Let s be p(-20). Suppose -10*l + 4*l + 450 = s. What is the highest common factor of l and 30?
15
Suppose 2*h + 5*w - 3 = -0, 2*h - 24 = 2*w. Suppose 5*i - 2*s = h + 22, 0 = -s + 2. Calculate the greatest common factor of i and 1.
1
Let j(g) = 2*g**2 + 19. Let l be j(0). Suppose -l - 11 = -2*t. Let d be (1 - 0)/(4/12). What is the greatest common divisor of t and d?
3
Let r be ((-24)/15)/(3/(-30)). Let t be (-5796)/(-180) + 1/(-5). What is the highest common factor of t and r?
16
Let r = 822 + -792. Calculate the greatest common factor of 900 and r.
30
Suppose 5*v + 2*t = 9 + 287, 178 = 3*v + t. Let s = v + 55. Let b be s*2/4*2. What is the highest common factor of 23 and b?
23
Let h(x) = 8*x - 75. Let z be h(10). Suppose 720 = 5*b + 3*l, z*b - 466 - 254 = 3*l. Calculate the greatest common factor of 9 and b.
9
Let d = -20 + 53. Let z = d + 6. Calculate the greatest common divisor of 65 and z.
13
Let n = 606 + -386. What is the highest common factor of 20 and n?
20
Suppose -5*b + 5*l + 4285 = 0, -4*b + 4*l + 3416 = 6*l. What is the highest common factor of b and 95?
95
Let w be 60/(-8 - -4)*3/(-5). Suppose 3*r + w = 0, -86 = -n + 2*r + 41. Calculate the greatest common divisor of n and 11.
11
Let p(y) = -43*y - 3*y**3 + 50*y - 13 - 9*y**2 + 2*y**3. Let m be p(-10). Calculate the highest common divisor of m and 119.
17
Let s = -33 - -66. Let g = s - 18. Calculate the greatest common factor of g and 75.
15
Suppose -3*x = 3*l + 47 - 206, -2*x + 118 = -2*l. Let s = 8 - 0. What is the greatest common factor of s and x?
8
Let x = 750 + -561. What is the highest common factor of 105 and x?
21
Let n be (-2794)/(-4) - (-13)/((-208)/24). What is the greatest common divisor of n and 41?
41
Suppose -s - 1866 = -3*z - 6*s, -3*s = -4*z + 2517. Calculate the highest common factor of z and 57.
57
Let c be (3/(-6))/((-8)/224). Let u = -6 + c. Suppose -4*n - l = -83 - 140, n + l = 55. What is the greatest common factor of n and u?
8
Let g be (-6 - 0)*30/(-45). Suppose -26 = -g*c + 14. What is the greatest common divisor of c and 4?
2
Let d = -634 + 655. What is the greatest common divisor of d and 119?
7
Suppose q - f = f + 43, -5*q = 3*f - 228. Calculate the greatest common factor of q and 55.
5
Let t = 58 + -41. Suppose -w = -37 + t. What is the greatest common divisor of w and 30?
10
Suppose -2*a + 4*u + 277 = -u, -5*a = -4*u - 684. Calculate the greatest common divisor of 459 and a.
17
Let z = -1165 + 1203. What is the highest common factor of 152 and z?
38
Suppose 721*d - 719*d - 986 = 0. What is the greatest common divisor of 17 and d?
17
Let j be (890/20)/((-1)/2). Let z = j + 131. Suppose 91 = 4*t + 35. Calculate the highest common divisor of z and t.
14
Suppose -13*a + 2049 = -1071. Calculate the highest common divisor of 144 and a.
48
Let y be (-85)/(-15) + 4/(-6). Suppose 0 = 20*i - 784 - 16. What is the highest common divisor of i and y?
5
Let c = -12 - -3. Let g = -166 - -176. Let p = c + g. Calculate the greatest common factor of p and 1.
1
Let d = 12 - 8. Let m = -11 + d. Let q = m + 16. What is the greatest common factor of q and 6?
3
Suppose 0 = -2*r - k + 3 - 6, -2*r + 2*k = 0. Let g be (r/3*4)/(12/(-54)). What is the highest common factor of 18 and g?
6
Suppose -26*g = -20*g - 72. Let j(p) = 2*p**2 + 3*p + 10. Let u be j(-4). Calculate the highest common factor of g and u.
6
Suppose 3*a + a = 44. Suppose -2*v - u + 9 = v, 2*v - u - a = 0. Let f(c) = 10*c - 168. Let m be f(18). Calculate the highest common factor of v and m.
4
Let u = 1057 - 391. What is the greatest common divisor of 18 and u?
18
Suppose -k = -d - 5, 2*k + 35 = 6*k + d. Let g = -4 - -36. Calculate the greatest common divisor of k and g.
8
Let y = 11 + -6. Suppose 18 = 4*d - y*d. Let g be (2 - -10)*(-6)/d. Calculate the greatest common factor of 2 and g.
2
Suppose 0 = -5*q + 4*x - 80, 3*x + 9 = -2*q - 0*x. Let u = q + 14. Suppose -8*p + 108 = -u*p. Calculate the greatest common divisor of p and 18.
18
Let y(l) = l**2 - 9*l + 14. Suppose 0 = 4*o - 9 - 59. Let z = -7 + o. Let h be y(z). Calculate the greatest common divisor of h and 6.
6
Let u be 3/(-5 + 6) - 1. What is the greatest common divisor of 86 and u?
2
Let n be (22/7)/((-5)/(-35)) + -4. Let i be (n + 4/(-1))/1. What is the greatest common factor of i and 140?
14
Suppose 0 = 122*u - 125*u + 144. Calculate the greatest common divisor of 3 and u.
3
Let l(x) = 2*x**2 + x - 1. Let z be l(-3). Let q(h) = -31*h. Let y be q(-2). Let c = y - -92. What is the greatest common factor of z and c?
14
Let u = 552 - 128. Calculate the highest common divisor of 8 and u.
8
Let l = 141 + 41. Suppose 29*z + 24 = 33*z. Suppose z*b = 8*b - 52. What is the highest common factor of b and l?
26
Let f be 749/4 + (-33)/132. What is the highest common factor of f and 33?
11
Let v be 258/8 - (-3 + 26/8). Suppose -v*x = -35*x + 96. What
|
{
"pile_set_name": "DM Mathematics"
}
|
s the fourth smallest value in 206/5, 0.5, 0.4, -4, -1/4?
0.5
Which is the smallest value? (a) -1 (b) 6 (c) -2/19 (d) -567
d
Which is the fourth biggest value? (a) -67/2 (b) -4/5 (c) 0.2 (d) 5 (e) -2/3
b
Which is the second biggest value? (a) -9.5 (b) 3 (c) 11839
b
What is the second smallest value in -3/8, 1/9, -0.6743, -3?
-0.6743
What is the fourth smallest value in 4/103, -0.1, 0.2, -4/7, 0.01?
4/103
Which is the second smallest value? (a) 2/137 (b) 2/13 (c) 17
b
Which is the fifth biggest value? (a) -4 (b) -8 (c) 3346 (d) 3 (e) 4
b
What is the sixth smallest value in 17, -3, -0.55, -0.3, 0.6, 2?
17
What is the biggest value in 0.51, 0.5, -0.3, 2/5, -2/47, -1?
0.51
What is the fifth biggest value in -3, 6/5, 59, -1/4, 3, -0.3?
-0.3
Which is the smallest value? (a) -0.3 (b) -0.0317 (c) -50 (d) 4 (e) -2 (f) 2
c
What is the smallest value in -5, -4, -15, 0, -481?
-481
What is the fourth biggest value in 4/7, -3, -3/7, -366/11?
-366/11
Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 0.137 (d) 4
b
What is the third biggest value in -0.05, 1, -3710, -3?
-3
Which is the third biggest value? (a) 877 (b) -0.3 (c) -1
c
What is the second biggest value in -0.5, -0.053, -75, -3/5?
-0.5
What is the third biggest value in -5/2, -129.74, 293?
-129.74
Which is the second biggest value? (a) 10 (b) 0 (c) 9.8 (d) 0.5
c
Which is the fifth biggest value? (a) 1/2 (b) -836.82 (c) 0.3 (d) -1/7 (e) 2/5
b
Which is the fourth smallest value? (a) 0.2 (b) -13 (c) 2 (d) -4 (e) 1.5
e
What is the second smallest value in -0.06, -1/7, -0.11, 3/16, 11?
-0.11
Which is the second smallest value? (a) 1/11 (b) 2 (c) 26 (d) -0.026
a
What is the fifth biggest value in 1/8, -2, -1.37, 3, 6/19, 0.5?
-1.37
What is the biggest value in -0.2, 54/17, -2.4?
54/17
What is the fifth smallest value in 11, -1/3, -2, -0.0356, 0.1?
11
Which is the second smallest value? (a) 8/7 (b) 2 (c) -3
a
Which is the third smallest value? (a) 2/7 (b) 7/10 (c) 0 (d) 6
b
Which is the third smallest value? (a) 1/232 (b) 56/3 (c) -0.2 (d) -2/5 (e) -5 (f) -2/7
f
What is the fifth smallest value in -0.5, -25, 1, 3, -10, -3/5?
1
Which is the third biggest value? (a) 0.4 (b) -90 (c) -96
c
Which is the third smallest value? (a) 4 (b) 2 (c) -1 (d) 0.52 (e) 1/11 (f) 54
d
Which is the fourth smallest value? (a) 0.1 (b) 1/11 (c) -229 (d) -1/8 (e) -1/2
b
What is the fourth smallest value in 3532, -0.11, 2, -0.2?
3532
Which is the third biggest value? (a) 59 (b) 4 (c) 1.5 (d) 0 (e) -1/7
c
What is the second biggest value in 3, -0.5, -3, -5, 5?
3
What is the second biggest value in -992, 4, -8, 2/5, 1?
1
What is the smallest value in 1, -3, -5, -0.09, -2/11, -2/51?
-5
Which is the biggest value? (a) 2/5 (b) -128 (c) -5/2 (d) 0.04 (e) 0.2
a
Which is the biggest value? (a) -24 (b) -98 (c) 0.4 (d) 0 (e) 4/9
e
Which is the smallest value? (a) -89/2 (b) -5 (c) 20 (d) -0.04
a
What is the sixth biggest value in -13/269, -0.3, -0.1, 1, 1/4, 0?
-0.3
Which is the smallest value? (a) -7 (b) 1/2 (c) -47.6
c
Which is the second biggest value? (a) -4 (b) -3/4 (c) -6 (d) -1/254 (e) 0.2
d
Which is the fourth biggest value? (a) 1/25 (b) 135/16 (c) -3/2 (d) 0.5
c
What is the second smallest value in 2194, 4, 24?
24
What is the second smallest value in -5, -1/2334, 34?
-1/2334
What is the second smallest value in 3/5, 3, 6.1, -2/13?
3/5
What is the smallest value in 2, 157, 1/4, 21/5?
1/4
Which is the third biggest value? (a) 5 (b) -2 (c) -2/11 (d) 0.4 (e) 2488
d
What is the second smallest value in -2, -3, 1/5, 1/1201?
-2
Which is the second biggest value? (a) 22 (b) 2/5 (c) -0.022
b
Which is the smallest value? (a) -2/9 (b) 0.5 (c) -4 (d) -10 (e) -294
e
What is the fifth smallest value in -4, 4, -1, 0.25, -2?
4
Which is the fourth biggest value? (a) 0.3 (b) 0.007 (c) 1/7 (d) -0.22
d
Which is the third smallest value? (a) -202 (b) -0.1 (c) -0.3 (d) -4/7
c
Which is the sixth smallest value? (a) -4 (b) 2/5 (c) -22/5 (d) -1 (e) -17/5 (f) 3
f
Which is the third biggest value? (a) -3.75 (b) -3.17 (c) -0.4
a
Which is the second smallest value? (a) -16 (b) 7651 (c) 8
c
What is the biggest value in -7/5, 0.0774, -0.03?
0.0774
Which is the smallest value? (a) -0.4 (b) -3 (c) -0.175 (d) 12 (e) 4 (f) 0.3
b
What is the biggest value in 46, -1, 0, 1/5, 2, -0.1?
46
Which is the third smallest value? (a) 0.1 (b) -10 (c) 244
c
What is the smallest value in 5/2, -4/5, -0.09, -406/11?
-406/11
Which is the fifth biggest value? (a) 594 (b) 2 (c) -2/7 (d) -32 (e) -0.3 (f) -2
f
Which is the second smallest value? (a) 17 (b) -3 (c) -1/4 (d) 3 (e) -2/65
c
Which is the fourth smallest value? (a) -1/7 (b) -3/5 (c) -1/127 (d) 5 (e) -5
c
What is the fifth biggest value in 0.3, 1/5, -9, -46, 9?
-46
Which is the biggest value? (a) 22821 (b) 2 (c) 0
a
What is the second biggest value in -19, 2967, 15?
15
What is the biggest value in 2/7, -0.5728, 7/4?
7/4
What is the third smallest value in 2/3, -4/7, 103/6, 2/17?
2/3
Which is the fourth biggest value? (a) -1/3 (b) 1.7 (c) -8/23 (d) 0.1
c
Which is the fifth smallest value? (a) -0.8 (b) -8.9 (c) -5 (d) 5 (e) 0.09
d
Which is the third smallest value? (a) -2/369 (b) 9 (c) -129 (d) 1/3
d
Which is the fifth biggest value? (a) -1/4 (b) 0.9 (c) 5 (d) -9 (e) 0 (f) 76
a
Which is the second smallest value? (a) -1 (b) 17 (c) 5 (d) 2/15 (e) 161
d
What is the smallest value in -3, 0.2, -41, 1/3, 0.1?
-41
What is the fifth smallest value in -1/6, 11/2, -12.75, 0.4, 0.3?
11/2
Which is the smallest value? (a) 4 (b) -206 (c) -3/5
b
Which is the second smallest value? (a) -5 (b) -0.02 (c) 1 (d) -57 (e) 2
a
What is the sixth smallest value in 5, 1/4, 11, -8, 4, -191?
11
What is the second biggest value in 1, 0.324, 3/7, -0.26, 1.1?
1
Which is the second smallest value? (a) 4 (b) -5 (c) -0.4 (d) 258
c
What is the fourth smallest value in -2, -3, -26/7, -2.7, -5?
-2.7
Which is the fourth smallest value? (a) -1 (b) -362 (c) 3/4 (d) -0.07 (e) 1.4
c
What is the sixth biggest value in -34, -8, -156, -0.3, 5, 4?
-156
Which is the fourth smallest value? (a) 3/65 (b) -223 (c) 0.3 (d) 0.1
c
Which is the fourth smallest value? (a) 3 (b) 1 (c) 104 (d) 7 (e) -1 (f) -12
a
Which is the fourth smallest value? (a) -3/2 (b) -1/385 (c) -5/7 (d) -1/5
b
What is the fourth smallest value in -2/61, 81, 2/17, 0.5, 0.01?
0.5
What is the third biggest value in -10, -3, -2.17?
-10
Which is the sixth smallest value? (a) 36 (b) -2 (c) -4 (d) -0.4 (e) 0 (f) 9
a
What is the biggest value in 1/19, 0, -1?
1/19
Which is the smallest value? (a) -0.3 (b) 2.3 (c) -1/5 (d) -2
d
What is the fifth biggest value in 1, -0.06, -4, -0.12, -0.5?
-4
What is the fifth biggest value in 1, 5, -0.5, -8860, -4?
-8860
Which is the fifth biggest value? (a) 2/49 (b) -8 (c) 1/3 (d) 0 (e) 2/7
b
Which is the fourth smallest value? (a) 0 (b) 0.02 (c) 0.5 (d) 4 (e) -254
c
What is the fifth smallest value in -5, 22, -1, 1, 8?
22
What is the third smallest value in 0.04, -3/38, -0.2?
0.04
What is the third smallest value in 4/5, 3, 20103?
20103
Which is the second biggest value? (a) -6 (b) 0.5 (c) -45.3
a
What is the third biggest value in -3, 3, 0, 1/249?
0
What is the third biggest value in -3, 2, -9, -1/15, 7?
-1/15
What is the third biggest value in -0.4, 5, -54, 0.03?
-0.4
What is the fifth biggest value in 16/9, 0.06, -1/6, -0.4, 0.05, -4/5?
-0.4
Which is the smallest value? (a) 0.3 (b) 3/2 (c) -1/19361
c
Which is the smallest value? (a) -1 (b) -2.3908 (c) 0 (d) -0.4 (e) 1 (f) 2/3
b
Which is the third biggest value? (a) -4 (b) 5 (c) -1 (d) -0.04 (e) 3
d
What is the second biggest value in 5, 474, -1, -655?
5
What is the third biggest value in -3, 0.1092, 5, 0?
0
What is the second smallest value in 539, -0.107, -0.3, 5/6?
-0.107
Which is the biggest value? (a) -1 (b) -0.140046 (c) -2/7
b
Which is the fourth biggest value? (a) 1 (b) 8.3 (c) -1 (d) 3.8 (e) 0.2
e
What is the fifth biggest value in 2, -264, 16, 0.6, -0.3, -3/5?
-3/5
What is the third biggest value in 5/4, -2/5, -3/7, -0.046?
-2/5
Which is the biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
*x**4 + w*x + i*x**2 + d*x**3 + p and give p.
0
Rearrange -2 + 4 - 1291*w**2 + 49*w + 1293*w**2 to the form y*w + g*w**2 + k and give g.
2
Express (2 + 14 - 1)*(2*t + 2*t + 2 - 2*t - 3 + 3 - t + 0*t - 3*t + 2*t + (2*t - 2*t - t)*(1 + 0 + 0) + 3*t + t - 5*t - 3*t + 2*t - 2*t) as c + g*t and give g.
-75
Express (16 + 1 + 4)*(-12*p + 25*p - 17*p) - 2*p + p - p - 5*p + 3*p + p + (1 - 2*p - 1)*(-2 + 2 + 1) as i*p + c and give i.
-89
Express -12*g**2 + g - 32*g**3 + 0*g**4 - 3*g**2 + 13*g**2 - 1 + g**4 as o + j*g**4 + q*g + i*g**2 + u*g**3 and give i.
-2
Express ((-1 - 2 + 1)*(4 - 3 + 0) + 3 + 0 - 1 + (-2 + 0 + 0)*(3 - 3 + 2))*(48*b + 32*b - 15*b)*(-b - 2*b + 5*b) in the form z*b + u*b**2 + o and give o.
0
Rearrange (2 + 64*u - 2)*(2*u**3 - 4*u**3 - u**3) to z*u**3 + d*u**2 + p*u**4 + r*u + a and give p.
-192
Rearrange (-6*y + 2*y + 2*y)*(51*y**2 + 221*y**2 - 18*y**2) + (2*y - 3*y + 3*y)*(-2*y**2 - 2*y**2 + 2*y**2) to the form s*y**2 + g + u*y + t*y**3 and give t.
-512
Rearrange (-s**3 + s**3 - s**3)*((3 - 1 - 8)*(-1 - 2 + 2) + (-1 + 1 - 4)*(2 + 5 - 3)*(-1 + 0 - 1)) to the form o*s**3 + u + d*s**2 + p*s and give o.
-38
Rearrange 1 + 2*v**3 - 2*v - 8*v**4 - 3*v**2 + 5*v**4 + 4*v**2 - 2*v**2 - 6 to t + b*v**4 + r*v**2 + d*v + w*v**3 and give d.
-2
Rearrange (0 + 0 + l)*(1 + 12 + 167) to the form r*l + p and give r.
180
Rearrange 4 - 44*j**2 - 7 + 46*j**2 + 2 + 19*j**3 to n*j**3 + u*j**2 + y*j + w and give n.
19
Rearrange 3*p**3 - 2*p + 3*p**2 + 0*p + 2 + 0*p**2 + 0*p + 3*p to the form f*p + n*p**2 + j*p**3 + h and give j.
3
Express (z - z**2 - 13*z**2 + 4*z**2)*(3*z + z + 2*z) as i*z**2 + q*z**3 + p + d*z and give q.
-60
Rearrange 139119 + 320*l**2 - 139119 to k*l**2 + n + v*l and give k.
320
Express 7 - 2*g**2 + g**4 + g**4 - 5110*g**3 + 5107*g**3 - 2*g in the form b*g + f + k*g**4 + x*g**3 + l*g**2 and give x.
-3
Express 892*s**2 + 40*s**2 + 546*s**2 as p + g*s + x*s**2 and give x.
1478
Express (-120*s + 1 + 1 + 294*s)*(4*s**3 - 2*s**3 - 4*s**3) in the form k*s**4 + t + r*s**2 + j*s + l*s**3 and give l.
-4
Express (-7 + 1 - 5)*(-2 + 2 + 8)*(-5*m + 5*m - 2*m) in the form w*m + b and give w.
176
Rearrange 25*r**4 - 19*r**4 - 201 - 3*r**4 - r**2 to t*r**4 + j*r + n + w*r**2 + h*r**3 and give n.
-201
Express -5 - 10*p - 5*p - 14*p**2 - 2*p + 15*p + 13*p**2 - 26*p**3 as t*p**2 + a + b*p + w*p**3 and give b.
-2
Rearrange (1 - 1 - 2*v**2)*(-331*v + 556*v + 546*v) to the form i*v + d*v**2 + m*v**3 + g and give m.
-1542
Express 1 - 65*n + 4 - 5 + 197*n as s + i*n and give i.
132
Express (1992 - 1992 + 228*z)*(-3*z + 0 + 0) + 2*z**2 + 2*z**2 - 6*z**2 as n*z + g*z**2 + a and give g.
-686
Rearrange 4*j + 37*j + 24*j - 9*j to z*j + d and give z.
56
Express (0 - 2*c**2 + 0)*(-66*c**2 - 2259*c**2 + 3*c - 871*c**2 - 3*c) as z*c + j*c**4 + r*c**3 + y*c**2 + i and give j.
6392
Express -106*d - 63*d + 86*d - 44*d - 3*d**2 - 4*d**2 in the form f*d**2 + r*d + a and give f.
-7
Rearrange (72*d + 2080 - 2080)*(3 - 1 + 0) + (0 + 0 - 2*d)*(3 + 1 - 3) - 9*d + 0*d + 2*d - d + 4 - 4 to i*d + k and give i.
134
Express -14*q - 5 + 10 - 3 + 13*q - 25*q**3 as i*q + k*q**3 + n + a*q**2 and give i.
-1
Rearrange (17 + 46 - 129)*(c - 1 + 1) to g + y*c and give y.
-66
Rearrange (-3*u - 5*u + 2 + 3*u)*(-4 + 1 + 2) + (3*u - 10*u + 6*u)*(-5 + 2 + 4) to the form y + g*u and give y.
-2
Rearrange 182*p + 514*p - 134*p + 393*p to j + h*p and give j.
0
Express 2*h**3 + 1 - 65*h**2 + 0 + 7*h**2 + 2 in the form u*h**3 + s + r*h**2 + y*h and give r.
-58
Rearrange -4*o - o + 2*o + 0 - 2*o + 0 + (0*o + o + 0*o)*(-1 - 1 + 0) - 2*o + 0*o - 23*o - 15*o - 13*o + o to the form h + s*o and give s.
-59
Express (-199 - 129*k + 128*k + 239)*(-2*k + k + 3*k) as f + d*k**2 + p*k and give d.
-2
Rearrange 5*s**4 + 2 + 2*s - 4*s**4 - 5 + 1 + 3 to the form m*s**2 + n*s**4 + q*s**3 + h*s + p and give h.
2
Rearrange 291*w - 375*w + 195*w to the form o*w + y and give o.
111
Rearrange (-15 - 27 + 71)*(-2 - 4*s**3 - 1 + 2*s**3 - 2*s) to q*s + o + d*s**3 + z*s**2 and give z.
0
Express (-50*k - 9 + 8 + 0)*(-1769 - 49*k + 1769) as y*k + i*k**2 + s and give i.
2450
Express (1 + 1 - 4 + (3 - 2 + 0)*(3 - 3 + 2) + 5 + 1 - 4)*(405 - 219 - 9)*(-4*l**2 + 4*l**2 + l**3) in the form k*l**2 + i*l**3 + b + w*l and give i.
354
Express (5*x + 4*x - x + (3 - 2*x - 3)*(-5 + 5 + 6))*(9 + 0 - 1)*(-2*x - 2*x + 6*x) as u*x + c*x**2 + b and give c.
-64
Rearrange -18*s + 2*s**3 - 332*s**2 + 169*s**2 + 3*s**3 + 163*s**2 to the form z*s + g + q*s**2 + h*s**3 and give h.
5
Rearrange -2*f + 3*f - 191295*f**2 + 191297*f**2 + 2 + f**3 to the form b + d*f + h*f**3 + p*f**2 and give h.
1
Rearrange 69 - 146 + 77 - 220*c to m*c + u and give m.
-220
Rearrange (-4 - 3 + 1)*(37 - 12 + g - 16*g) to the form y + d*g and give d.
90
Express 15*d**2 - 2*d**3 - 66*d**2 - 64*d**2 + 130*d + 1 + 19*d**2 - 128*d as q*d**3 + z + i*d**2 + y*d and give i.
-96
Rearrange 66*d**2 + 1 - 97*d**2 + 14*d**3 - 15*d**3 to r*d + b + m*d**2 + s*d**3 and give b.
1
Rearrange (184*c**2 - 59*c**2 + 115*c**2)*(c - c - 7*c) to o*c + i*c**2 + h + n*c**3 and give n.
-1680
Express -68 - 10 + 6 - 10 + g + 0*g in the form b*g + o and give b.
1
Rearrange (-h + h - h**3)*(3 - h - 3) + (-h - 144*h**2 + 143*h**2 + 17*h)*(-50*h - 14*h**2 + 50*h) to o*h**3 + d*h**4 + g*h + v + k*h**2 and give d.
15
Express -r**4 + 0 + 37*r - 4 - 2 - 3 in the form x*r**4 + o + w*r**3 + z*r**2 + p*r and give x.
-1
Rearrange 122 - 7801*b + 7799*b + 31 - 3*b + 4*b + b + (-2*b - 2*b + 2*b)*(2 - 1 - 3) + (b - b + b)*(-5 + 6 + 4) to v*b + n and give v.
9
Express (0 + 1 + 2*u - u)*(-609 + 169 - 76 - 601) as s + c*u and give c.
-1117
Express (4*m + 4*m - 2*m)*(-4*m + 5*m + m + m - 4*m + 4*m + (3*m - 8*m + 2*m)*(3 - 5 + 1))*(-1 + 2 - 2) in the form y*m + b*m**2 + r and give b.
-36
Rearrange -8*a**3 - 2*a**4 + 3 + 7*a**3 - 16*a**2 + 7*a**2 to the form t*a + v*a**4 + j + y*a**2 + s*a**3 and give j.
3
Rearrange 2*w + 0*w - 6*w + 0*w**2 + w**2 - 6*w**2 to r*w + k + j*w**2 and give r.
-4
Rearrange (-18 - 23*a - 52*a**2 + 54*a**2 + 16*a)*(-5*a + 0*a + 4*a) to q*a**2 + m*a + h*a**3 + p and give h.
-2
Express 3 - 6*w - 3 + 0*w + 2*w - w + (4 - 6 + 0)*(-2 + 2 + 4*w) + 4*w - 3*w - 2*w in the form x + u*w and give u.
-14
Rearrange 1 + j**2 + 0*j**3 + 0 - 2 + 3*j - 2*j**3 + 8*j**4 to h*j + b*j**3 + n*j**4 + y + x*j**2 and give h.
3
Express 1950*j - 1896*j - 6 + 3 in the form n + u*j and give n.
-3
Rearrange -664*f + 57 - 38 - 19 to the form q + a*f and give a.
-664
Express -27*f**2 - 20*f**2 - 612*f + 48*f**2 in the form v*f + d + u*f**2 and give d.
0
Express (-6*y + 2*y + 3*y)*((2 - 4 - 2)*(-3*y + 3*y + 2*y**2) + (-4*y**2 - 17*y**2 + y**2)*(1 - 3 + 3)) as p*y + t*y**2 + f + q*y**3 and give q.
28
Express (-3333*y + 58*y**2 + 3333*y)*(3*y + 2*y - y) as l + o*y**2 + z*y + u*y**3 and give o.
0
Express -386*b**2 + 257 - 257 in the form h*b + m + c*b**2 and give c.
-386
Express ((0 - 2*z + 0)*(6 - 4 - 1) + 0*z + 0*z - 2*z - 287 + 287 + 57*z)*(3*z - 7*z + 5*z) in the form j*z**2 + p + f*z and give j.
53
Rearrange (0 + 0 - 1)*(4*d**2 - 2*d**2 + 4*d**2) + (-6*d + 3*d + d)*(3*d - d - d) + 1626 - 9*d**2 - 1626 to n + u*d + r*d**2 and give u.
0
Rearrange (-3*b**2 - b**2 + 6*b**2)*(27 - 59 - 137) to the form o*b**2 + f*b + d and give o.
-338
Rearrange -107*i**2 - 3*i + 8 + 10 - 44*i**3 - 18 + 111*i**2 to the form j*i**2 + p*i + d*i**3 + f and give d.
-44
Express -293*z**2 + 588*z**2 + z**3 - 294*z**2 - 13 in the form o*z + l*z**3 + s + p*z**2 and give s.
-13
Express ((-3 + 4 - 3)*(4 - 7 - 17) + (5 - 3 - 4)*(-5 + 2 + 2))*(4*f - 2*f + 0*f) - 6 - 3 + 19*f - 20*f as z*f + q and give q.
-9
Rearrange ((-z - z + 4*z)*(-4 + 5 - 2) - z - z + 3*z - 10 - 3*z + 10)*(5 - 5 + 4*z**2) to k*z**3 + v*z + m*z**2 + o and give k.
-16
Rearrange (-5 + 3 + 0*i**2 - 2*i**2)*(-11 - 42 - 49) to the form o + j*i**2 + t*i and give j.
204
Rearrange 2*n + 2*n - 5*n + (n + n + 0*n)*(-6 - 5 + 4) + 2*n + 4*n + n to r + j*n and give j.
-8
Rearrange (9217 - 9217 + 211*u)*(0*u**2 - 2*u**3 + 0*u**2) to j*u**4 + g*u**3 + l + h*u**2 + y*u and give j.
-422
Rearrange ((2*x - x - 5*x)*(1 - 7 + 2) - x + x - x)*(-2*x - 2*x**2 + 2*x + (-x - 2*x + 2*x)*(3*x + 2*x - 6*x)) to a*x**3 + l*x**2 + z + b*x and give a.
-15
Rearrange -9*m**3 - 2*m**4 + m**3 + 7*m**4 - 3*m**4 + 1 + m**2 + m to t
|
{
"pile_set_name": "DM Mathematics"
}
|
f -30, -10, 10, 30, 50, 70?
20*l - 50
What is the a'th term of 37, 43, 49, 55, 61?
6*a + 31
What is the o'th term of 1029, 1032, 1045, 1074, 1125, 1204, 1317?
o**3 - o**2 - o + 1030
What is the p'th term of -101, -102, -103, -104?
-p - 100
What is the o'th term of -55, -103, -151, -199, -247?
-48*o - 7
What is the x'th term of -53, -55, -51, -35, -1, 57?
x**3 - 3*x**2 - 51
What is the i'th term of -224, -218, -212, -206, -200?
6*i - 230
What is the r'th term of -137, -562, -1279, -2294, -3613, -5242, -7187?
-r**3 - 140*r**2 + 2*r + 2
What is the l'th term of -140, -293, -450, -611?
-2*l**2 - 147*l + 9
What is the n'th term of 107, 187, 267?
80*n + 27
What is the o'th term of -2, 2, 2, -2, -10?
-2*o**2 + 10*o - 10
What is the t'th term of 17, 120, 415, 1004, 1989, 3472, 5555?
17*t**3 - 6*t**2 + 2*t + 4
What is the g'th term of -660, -1318, -1976?
-658*g - 2
What is the f'th term of -25, -6, 15, 38, 63, 90?
f**2 + 16*f - 42
What is the z'th term of 183, 179, 171, 159, 143?
-2*z**2 + 2*z + 183
What is the k'th term of -34, -24, 0, 44, 114, 216, 356?
k**3 + k**2 - 36
What is the h'th term of 609, 610, 621, 648, 697, 774?
h**3 - h**2 - 3*h + 612
What is the m'th term of -197, -458, -719, -980, -1241, -1502?
-261*m + 64
What is the h'th term of -19, -76, -171, -304, -475, -684?
-19*h**2
What is the h'th term of -77, -75, -73, -71, -69?
2*h - 79
What is the x'th term of 5, 13, 27, 47, 73, 105?
3*x**2 - x + 3
What is the l'th term of 1, -7, -21, -41, -67, -99, -137?
-3*l**2 + l + 3
What is the p'th term of -19, -35, -77, -157, -287, -479, -745, -1097?
-2*p**3 - p**2 + p - 17
What is the z'th term of 78, 64, 54, 48, 46, 48?
2*z**2 - 20*z + 96
What is the r'th term of -2103, -4204, -6303, -8400, -10495, -12588?
r**2 - 2104*r
What is the z'th term of 39, 60, 71, 54, -9, -136, -345?
-3*z**3 + 13*z**2 + 3*z + 26
What is the q'th term of 723, 1452, 2181?
729*q - 6
What is the k'th term of -9, -1, 13, 33?
3*k**2 - k - 11
What is the a'th term of 82, 95, 104, 103, 86, 47, -20?
-a**3 + 4*a**2 + 8*a + 71
What is the b'th term of 8, 31, 60, 95, 136?
3*b**2 + 14*b - 9
What is the g'th term of -18, -84, -260, -600, -1158, -1988, -3144?
-9*g**3 - g**2 - 8
What is the m'th term of 8, -5, -30, -67, -116, -177, -250?
-6*m**2 + 5*m + 9
What is the a'th term of 369, 362, 357, 360, 377?
a**3 - 5*a**2 + a + 372
What is the u'th term of -58, -62, -70, -82, -98?
-2*u**2 + 2*u - 58
What is the p'th term of 249, 235, 211, 177, 133, 79, 15?
-5*p**2 + p + 253
What is the t'th term of 1818, 3634, 5450, 7266, 9082?
1816*t + 2
What is the y'th term of 43, 33, 17, -5, -33?
-3*y**2 - y + 47
What is the d'th term of -94, -364, -814, -1444, -2254, -3244, -4414?
-90*d**2 - 4
What is the h'th term of 882, 1766, 2650?
884*h - 2
What is the s'th term of -513, -1023, -1529, -2031, -2529, -3023, -3513?
2*s**2 - 516*s + 1
What is the r'th term of 275, 548, 821, 1094, 1367?
273*r + 2
What is the s'th term of 110, 460, 1052, 1892, 2986, 4340?
s**3 + 115*s**2 - 2*s - 4
What is the n'th term of -24, -142, -448, -1032, -1984, -3394, -5352, -7948?
-15*n**3 - 4*n**2 - n - 4
What is the i'th term of -1, -13, -39, -85, -157, -261?
-i**3 - i**2 - 2*i + 3
What is the d'th term of 31, 128, 289, 514, 803, 1156?
32*d**2 + d - 2
What is the b'th term of -11567, -11568, -11569, -11570, -11571, -11572?
-b - 11566
What is the p'th term of 326, 319, 314, 311, 310?
p**2 - 10*p + 335
What is the z'th term of -33, -41, -53, -75, -113?
-z**3 + 4*z**2 - 13*z - 23
What is the b'th term of 32, 118, 262, 464, 724?
29*b**2 - b + 4
What is the k'th term of -15, -55, -115, -195, -295?
-10*k**2 - 10*k + 5
What is the j'th term of -121, -122, -123, -124, -125?
-j - 120
What is the y'th term of 1640, 1642, 1644?
2*y + 1638
What is the m'th term of 138, 259, 378, 495, 610?
-m**2 + 124*m + 15
What is the k'th term of -9, -22, -33, -42?
k**2 - 16*k + 6
What is the b'th term of -107, -279, -451?
-172*b + 65
What is the c'th term of -173, -160, -123, -50, 71, 252, 505?
2*c**3 - c - 174
What is the s'th term of 31, 65, 97, 127?
-s**2 + 37*s - 5
What is the r'th term of -53, -96, -169, -272, -405, -568, -761?
-15*r**2 + 2*r - 40
What is the t'th term of -4, -60, -168, -328, -540, -804?
-26*t**2 + 22*t
What is the r'th term of 67, 131, 195, 259, 323, 387?
64*r + 3
What is the r'th term of 145, 123, 103, 85?
r**2 - 25*r + 169
What is the u'th term of 69, 189, 357, 573, 837?
24*u**2 + 48*u - 3
What is the q'th term of 89, 360, 811, 1442?
90*q**2 + q - 2
What is the t'th term of -6, 24, 74, 144, 234, 344?
10*t**2 - 16
What is the q'th term of -461, -459, -459, -461?
-q**2 + 5*q - 465
What is the f'th term of -36, -78, -128, -186, -252, -326?
-4*f**2 - 30*f - 2
What is the w'th term of -86, -73, -60?
13*w - 99
What is the c'th term of -28, -41, -52, -61, -68, -73?
c**2 - 16*c - 13
What is the v'th term of -133, -129, -139, -175, -249, -373, -559, -819?
-2*v**3 + 5*v**2 + 3*v - 139
What is the k'th term of -60, -297, -684, -1215, -1884, -2685, -3612, -4659?
k**3 - 81*k**2 - k + 21
What is the y'th term of 3039, 6085, 9131, 12177?
3046*y - 7
What is the q'th term of -3884, -7765, -11642, -15515, -19384, -23249, -27110?
2*q**2 - 3887*q + 1
What is the y'th term of -48, -97, -146, -195?
-49*y + 1
What is the g'th term of -18, -49, -94, -147, -202, -253, -294, -319?
g**3 - 13*g**2 + g - 7
What is the b'th term of -62147, -62148, -62149, -62150?
-b - 62146
What is the i'th term of -78, -106, -172, -294, -490, -778, -1176?
-3*i**3 - i**2 - 4*i - 70
What is the k'th term of 119, 118, 117?
-k + 120
What is the k'th term of -1117, -2234, -3349, -4462, -5573, -6682, -7789?
k**2 - 1120*k + 2
What is the m'th term of 2978, 5951, 8922, 11891?
-m**2 + 2976*m + 3
What is the g'th term of -2014, -2008, -2002?
6*g - 2020
What is the x'th term of 10, 8, 4, -2?
-x**2 + x + 10
What is the u'th term of -1, -26, -69, -130, -209?
-9*u**2 + 2*u + 6
What is the i'th term of -118, -219, -318, -415, -510?
i**2 - 104*i - 15
What is the o'th term of -86, -143, -188, -215, -218, -191, -128?
o**3 - 64*o - 23
What is the y'th term of -49, -34, -19, -4?
15*y - 64
What is the k'th term of -67, -157, -247, -337?
-90*k + 23
What is the d'th term of 12275, 24550, 36825?
12275*d
What is the h'th term of -2097, -4188, -6277, -8364, -10449?
h**2 - 2094*h - 4
What is the y'th term of 404, 405, 406, 407?
y + 403
What is the z'th term of 162, 325, 492, 663?
2*z**2 + 157*z + 3
What is the q'th term of -561, -560, -557, -552, -545, -536?
q**2 - 2*q - 560
What is the m'th term of 100, 398, 908, 1642, 2612, 3830?
2*m**3 + 94*m**2 + 2*m + 2
What is the s'th term of -2542, -5082, -7622?
-2540*s - 2
What is the x'th term of -35, -10, 15, 40, 65?
25*x - 60
What is the b'th term of 1176, 1174, 1170, 1164, 1156, 1146, 1134?
-b**2 + b + 1176
What is the f'th term of 36, 67, 94, 117?
-2*f**2 + 37*f + 1
What is the m'th term of 74, 160, 246, 332?
86*m - 12
What is the x'th term of 470, 935, 1414, 1913, 2438?
x**3 + x**2 + 455*x + 13
What is the j'th term of -1578, -1567, -1540, -1491, -1414, -1303?
j**3 + 2*j**2 - 2*j - 1579
What is the y'th term of 242, 228, 198, 146, 66, -48, -202?
-y**3 - 2*y**2 - y + 246
What is the l'th term of -14, -11, 22, 97, 226, 421, 694, 1057?
2*l**3 + 3*l**2 - 20*l + 1
What is the s'th term of -468, -1871, -4210, -7485, -11696?
-468*s**2 + s - 1
What is the l'th term of -38, -82, -156, -260, -394?
-15*l**2 + l - 24
What is the v'th term of 38, 45, 50, 53, 54, 53, 50?
-v**2 + 10*v + 29
What is the a'th term of 84, 99, 114?
15*a + 69
What is the m'th term of 5, 13, 43, 107, 217, 385?
2*m**3 - m**2 - 3*m + 7
What is the b'th term of -7839, -7840, -7841, -7842?
-b - 7838
What is the n'th term of 3, 11, 47, 123, 251, 443, 711?
2*n**3 + 2*n**2 - 12*n + 11
What is the x'th term of -582, -1162, -1742?
-580*x - 2
What is the u'th term of 14, 39, 90, 179, 318, 519?
2*u**3 + u**2 + 8*u + 3
What is the g'th term of -11, -12, -11, -8?
g**2 - 4*g - 8
What is the f'th term of 64, 69, 68, 55, 24, -31?
-f**3 + 3*f**2 + 3*f + 59
What is the b'th term of 202, 207, 212, 217?
5*b + 197
What is the p'th term of -617, -1213, -1799, -2369, -2917, -3437, -3923?
p**3 - p**2 - 600*p - 17
What is the k'th term of 28, 88, 182, 310, 472, 668, 898?
17*k**2 + 9*k + 2
What is the y'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*l = -25, -5*l - 61 - 14 = -5*z. Suppose -w = -6*w + z. Let p(h) = -h**2 - 6*h + 47. Let k be p(-10). Solve 23 = -w*g + k for g.
-4
Let n(s) = s**3 + 8*s**2 + 2. Let j be n(-8). Suppose 2*d - 17 = -4*f + 1, j*f = 3*d - 3. Solve r - 8 + d = 0 for r.
5
Suppose 5*g + 23 = c + 2*c, -16 = 4*g. Solve 5*j + 9 = -c for j.
-2
Let h(l) = -3*l**3 - l**2 - l - 2. Let f be h(-2). Let c(t) = 6*t - 10. Let i be c(3). Let z be (-5)/(-2) - (-4)/i. Solve -2*g = z*g + f for g.
-4
Suppose 2*h - 18 - 2 = 0. Let w(m) = 2*m**3 + 5*m**2 + 11. Let s be w(-3). Suppose -h - s = -3*z. Solve 0 = q - 1 + z for q.
-3
Let c(i) = 4*i**2 + 56*i + 52. Let m be c(-13). Solve -9*s + 21*s = m for s.
0
Let c(i) = -i**3 - 9*i**2 + i + 11. Let u(w) = -w**3 - 11*w**2 - 2*w - 2. Let b be u(-11). Let y = 11 - b. Let j be c(y). Solve m + j*m = -12 for m.
-4
Let g be (-16)/(-10) + (-12)/(-5) + -2. Let c be ((-64)/(-80))/(g/10). Solve 5*d = c + 6 for d.
2
Let p(h) be the first derivative of h**2/2 + 23*h + 8. Let q be p(-17). Solve 5*d + 1 = q for d.
1
Suppose -3*s - 109 = -4*o, 2*o - s - 68 + 15 = 0. Solve -2*a = -7*a + o for a.
5
Let z(h) = -h**3 + 2*h**2 + h + 8. Let k(a) = 2*a**3 - 5*a**2 - 2*a - 17. Let x(v) = -6*k(v) - 13*z(v). Let u be x(-4). Solve 3*l + u = 4*l for l.
2
Let y = 286 + -283. Solve 0*m - y*m = -7*m for m.
0
Let x = 215 + -207. Solve 16 = 4*h - x*h for h.
-4
Let r be 2/8 + 272/(-64). Let j be (13/5 + -3)/(r/120). Solve -2*l + j = -5*l for l.
-4
Let w = -31 + 66. Suppose -3*i + 142 = 2*v + 2*v, -4*i = 2*v - 66. Let y = v - w. Solve 2 = 4*q - y for q.
1
Suppose -v - 2*l + 5*l = -43, -3*v - l = -159. Solve -v*x - 15 = -67*x for x.
1
Suppose -51*h - 973 = -3268. Solve -5*p - h = 4*p for p.
-5
Suppose 11*o = -18*o + 3*o. Solve u = -o*u + 4 for u.
4
Let q = -91 - -98. Solve -4*h + q*h = 6 for h.
2
Let v(b) be the second derivative of b**5/20 - b**4 + 13*b**3/6 - 17*b**2/2 - 3*b. Let u be v(11). Solve u*r = -4 - 11 for r.
-3
Let a = 3 + -3. Let u be ((-2)/4*a)/(-1). Suppose -1259 = 3*o - 1265. Solve u = -o*q - 9 - 1 for q.
-5
Let d = 399 + -379. Solve d*k = 18*k + 10 for k.
5
Let m = -338 + 343. Solve -m + 7 = -b for b.
-2
Suppose 90*i - 12 = 12 + 66. Let z(o) = -o + 5. Let a be z(0). Solve -i = -a*n - 6 for n.
-1
Let s(o) = -o**2 + 6*o - 4. Let f be s(4). Let x = -546 - -555. Solve -z - x = -f*z for z.
3
Let w be (-2)/32*-4*4. Let l be w/4 + 1/(-4). Solve l*x + x = 4 for x.
4
Let u be (0 - 1)*0*(-6)/(-36). Solve u + 1 = -o for o.
-1
Suppose -8 = j - 4*j + f, 4*f = -5*j + 2. Let x = 24 - 20. Solve -j*n + x + 2 = 0 for n.
3
Let o be -1*(-24)/(-9)*-3. Solve 0 = -12*d + 10*d + o for d.
4
Let b(o) = 16*o + 458. Let g be b(-27). Solve -23*r - 3 = -g*r for r.
1
Suppose -73*d = -24*d - 343. Solve 0 = -14*m + d*m + 28 for m.
4
Suppose 2*n = 5*n. Suppose h = 3*x + 15, n*h - 3*h = -2*x - 17. Let u(g) = -g**2 - 2*g + 38. Let m be u(5). Solve m = h*y - 3 for y.
2
Let l(m) = -m**2 + 8*m + 243. Let q be l(-12). Solve -5 = -q*w - 2 for w.
1
Let n = -8 - -8. Suppose 4*z - 4*p - 7 = -5*p, z - 5*p - 7 = n. Suppose -12 = -2*y - z*y. Solve 2*x = y*x for x.
0
Let n(t) be the second derivative of -t**4/12 - 2*t**3/3 + 3*t**2/2 + 9*t. Let y be n(-4). Solve 7 - 1 = -y*d for d.
-2
Suppose 101*x - 107*x = -18. Solve -3 = x*r - 6 for r.
1
Suppose 5*r = -3*y + 15, 5*y = -3*r + 67 - 26. Solve -7*u + y*u + 9 = 0 for u.
-3
Let i(r) = -r**3 + 8*r**2 - 12*r - 1. Let b be i(3). Solve b = -0*t + 4*t for t.
2
Suppose 4*q = -4*t + 35 + 49, -4*q + 79 = -t. Suppose 4 = 12*j - q. Solve 0 = -j*p - 3*p for p.
0
Let y = -58 - -68. Solve -y = b - 3*b for b.
5
Let g = -24 + 84. Suppose r = 4*r - g. Let c = r - 12. Solve 2*o - c = -2*o for o.
2
Let n(c) = -2*c**2 + 4. Suppose -s + 0 = -3*b - 2, -5*s - 28 = 4*b. Let a be n(b). Let d = 6 + a. Solve -d*k = -1 - 3 for k.
2
Let m = -2 - 6. Let r be 2/((-28)/(-21)*(-3)/m). Solve -u - r*u + 20 = 0 for u.
4
Let b(t) = t**2 - 3*t - 199. Let j be b(16). Solve j*w - 7*w = -4 for w.
-2
Let b = -8 - -15. Suppose 5*p + 22 = 3*o, p = 7*o - 6*o - 6. Let z be (-4)/(-20) + (-64)/(-5). Solve -o*v - b = z for v.
-5
Suppose 0 = -5*l + 43 + 77. Suppose 11*a - 9*a = l. Suppose -2 - 10 = -3*y - h, -4*h = -3*y + a. Solve d - 1 = y for d.
5
Let x(u) = -4*u + 25. Let l be x(4). Solve -5*s + l*s - 8 = 0 for s.
2
Suppose 0 = 5*t - 10*t. Solve 7*z + 28 = -t*z for z.
-4
Suppose -5*x = -2*c + 11 + 14, 0 = -3*c - 5*x. Suppose -2*k + 3*j + c = 4*j, 3*k = -j + 9. Suppose 5*f - 9 = 2*f. Solve -k = -f*q + 5 for q.
3
Suppose 2*r - 3*x - 5 = 0, -38 = -2*r + x - 23. Solve -36 = r*b + 2*b for b.
-3
Suppose -5*x = -0 - 5. Suppose 0 = 5*f - 3*f - 2*l - 18, -l - 13 = -2*f. Let i be 6/f*-26*(-4)/12. Solve x - i = -3*h for h.
4
Suppose -4 = 2*r - 3*r. Let x = 7 - 8. Let c(g) = -g**3 - g**2 - g - 1. Let h be c(x). Solve -2*t + 8 - r = h for t.
2
Let a = 28 - 10. Suppose -8*g - 2 = -a. Suppose -n + 57 = g*n. Solve -4*c - 1 = n for c.
-5
Suppose -5*c - 9 - 11 = 0. Suppose 3*m - 311 + 323 = 0. Let f = m - c. Solve f*b + 4*b = 0 for b.
0
Let o be 6/5*(-40)/(-6). Suppose 2*c - 8 = 2*i - i, 4*i + o = 2*c. Solve -2*z = -4*z + c for z.
2
Let g = -45 + 48. Let w be (g/(-2) + 108/8)/2. Solve -4*k + w = 2 for k.
1
Let t(r) = -3*r**3 - 10*r**2 + 7*r + 9. Let b be t(-4). Solve 4*z - b = -21 for z.
-2
Suppose 8 = -14*o + 16*o. Suppose 0 = -o*t + 9 + 11. Solve 0*y + 5*y + t = 0 for y.
-1
Let i(a) = -7*a - 3. Let s be i(-2). Suppose -y - n = y - s, -3*y = -4*n - 11. Solve 0 = 3*z - y*z - 6 for z.
-3
Suppose c = 5*g - 13, c - 2 = 3*c - 2*g. Let f be (64/(-16))/(-1*(4 - c)). Solve 5 - f = -k for k.
-3
Let x = 12 + -6. Suppose -30 = -5*t + 5*u, -3*t + 25 = 2*u + 22. Solve x*d - 15 = t*d for d.
5
Suppose -2 = 3*x - 8, 3*s - 2*x - 8 = 0. Let i = -332 - -352. Suppose -4*v = -4*b + 16, v = -5*b - s*v + i. Solve b = -4*y + 2*y for y.
-2
Suppose 5 = -4*n + 33. Suppose -5 = -4*d - s, -4*d + 16 = -5*s - n. Solve 8 = 2*y - d for y.
5
Suppose 7*r - 11 = -4*o + 8*r, -21 = o - 5*r. Suppose k + 2*k - 5*n + 20 = 0, 3*k + o = n. Solve 4*u + 0 + 4 = k for u.
-1
Suppose -5*y = -0*y - 65. Suppose 2*s - 2*k + 6 = 0, -s - k = 2*k - y. Solve 0*p = p - s for p.
1
Suppose 4*n + y = 39, 5*y = -n + 2*y - 4. Solve -n*w = 12 - 34 for w.
2
Let b = 326 - 326. Solve 5*n - 3*n = b for n.
0
Let j be (-9)/(-6) - 3/(-2). Suppose j*i - 85 = -13. Suppose -5*b - 2*x + i = -3*x, -3*b + 10 = -5*x. Solve b*z = -7 + 17 for z.
2
Let w(a) = -a**3 - a**2 - 7*a + 25. Let d be w(5). Let c = d - -168. Let n(x) = 29*x - 1. Let h be n(1). Solve h - c = 4*p for p.
5
Suppose -12*y + 7*y = 30. Let a be 3/(y/(-2)) + 0. Let g be ((-28)/(-12) - a)*3. Solve g*j - 15 = 1 for j.
4
Suppose 12*f - 14 = 46. Let x(a) = 2*a**3 - 12*a**2 + 10*a + 3. Let n be x(f). Solve 0 = j - 0 + n for j.
-3
Let u = 126 + -126. Suppose 0 = -5*x + 2*x. Solve x = -u*r + r + 5 for r.
-5
Let x = 230 - 226. Solve 0 = -5*p + 3*p + x for p.
2
Let m = 46 - 43. Solve -3*j - m = 6 for j.
-3
Let v be (-55)/20*(-21 - -1). Let t be (-9)/(-2) - 2/(-4). Suppose 2 = n, -3*n - v = -t*p - 8*n. Solve -p*k = -4*k + 5 for k.
-1
Let c = -57 - -192. Let p be (-27)/c - (-1 + (-12)/10). Solve 3 + p = n for n.
5
Let x be -4 - (-1 - (-9 + 0)). Let d be (36/10)/(x/(-40)). Let t be (-4)/d - (-13)/3. Solve -t*m - 5 - 7 = 0 for m.
-3
Let u be (-4)/(-2)*1 + 2. Let p be (-3)/6 - (-4 + (-695)/10). Suppose -7 - p = -4*m. Solve 0 = -u*n - n - m for n.
-4
Let q = 4 + -4. Suppose -3*j - n = 3, j + 0*n = -n - 3. Let w be (-9)/(-1)*(1 + j). Solve -2*m - m + w = q for m.
3
Let m = 13 + -9. Let g(u) = u**3 + 3*u**2 + 2*u + 2. Let k be g(-3). Let q be (34 - k)*(-1)/(-2). Solve m = -3*j + q for j.
5
Suppose s = 3 + 3. Let x be -18 + 4 + (2 - -2). Let z be 34/10 - (-4)/x. Solve z*c + s = -3 for c.
-3
Let u(s) = -s**2 - 2*s + 4. Let n be u(1). Suppose -7*b + n = -34. Solve -o + b = -0 for o.
5
Let r be 1*((-3 - -4)*1 + 11). Let g be 4/6 - (-52)/r. Solve 5*f = 15 + g for f.
4
Suppose 2 = t - 1. Let f be (t + 0 + -5)*-2. Solve s = f*s for s.
0
Let g be (1 + -1 + 2)/(20/30). Solve 5*c = g + 12 for c.
3
Suppose 128*y - 2056 = 632. Solve 0 = 15*v - 66 + y for v.
3
Suppose -2*p - 14 = b, 0 = -5*b + 2*p + p - 70. Let w(o) = o**3 + 13*o**2 - 14*o + 3. Let v be w(b). Let i = 5 - -1. Solve 6*r = v*r - i for r.
-2
Let h = -6 + 12. Suppose -5*g + 3*z = -44, 4*g
|
{
"pile_set_name": "DM Mathematics"
}
|
d 26?
13
Calculate the greatest common factor of 4455 and 54.
27
Calculate the highest common factor of 28608 and 24.
24
Calculate the highest common factor of 427 and 21.
7
Calculate the greatest common factor of 1668 and 5282.
278
Calculate the greatest common divisor of 23 and 1380.
23
Calculate the highest common divisor of 176 and 8.
8
Calculate the greatest common factor of 30 and 8130.
30
Calculate the greatest common factor of 45 and 20.
5
Calculate the greatest common factor of 27 and 288.
9
Calculate the greatest common factor of 107 and 5.
1
What is the greatest common divisor of 6302 and 138?
46
What is the greatest common divisor of 86 and 1462?
86
Calculate the greatest common factor of 861 and 246.
123
What is the highest common divisor of 5 and 7?
1
Calculate the highest common factor of 117 and 26.
13
Calculate the highest common divisor of 6660 and 20.
20
Calculate the highest common factor of 21 and 153.
3
What is the greatest common divisor of 40 and 170?
10
What is the greatest common divisor of 12 and 102?
6
What is the greatest common factor of 714 and 8211?
357
Calculate the greatest common factor of 10320 and 10.
10
What is the highest common divisor of 488 and 24?
8
Calculate the greatest common divisor of 6233 and 23.
23
What is the greatest common factor of 12992 and 128?
64
Calculate the greatest common divisor of 590 and 19352.
118
What is the greatest common divisor of 230 and 4715?
115
Calculate the greatest common divisor of 7380 and 135.
45
Calculate the highest common divisor of 38 and 29906.
38
What is the greatest common factor of 1754 and 2?
2
What is the highest common factor of 428 and 1391?
107
What is the highest common factor of 944 and 48?
16
Calculate the highest common factor of 4 and 5.
1
Calculate the greatest common factor of 35152 and 208.
208
What is the highest common factor of 160 and 19440?
80
What is the highest common factor of 70696 and 8?
8
Calculate the greatest common factor of 154 and 182.
14
Calculate the highest common divisor of 252 and 4356.
36
What is the greatest common factor of 4037 and 367?
367
What is the highest common divisor of 2572 and 1?
1
What is the highest common factor of 24 and 39?
3
What is the highest common divisor of 284 and 8?
4
Calculate the highest common factor of 5011 and 1.
1
Calculate the highest common factor of 370 and 814.
74
What is the highest common divisor of 783 and 174?
87
Calculate the highest common divisor of 21 and 336.
21
What is the highest common factor of 550 and 110?
110
Calculate the highest common divisor of 369 and 54981.
369
What is the greatest common factor of 3155 and 10?
5
What is the greatest common factor of 5254 and 111?
37
What is the highest common divisor of 80 and 1360?
80
Calculate the highest common divisor of 4 and 758.
2
Calculate the greatest common divisor of 400 and 1920.
80
Calculate the highest common divisor of 60 and 100.
20
What is the greatest common divisor of 48 and 16?
16
Calculate the highest common factor of 2921 and 115.
23
What is the greatest common divisor of 36 and 1692?
36
What is the greatest common divisor of 3355 and 55?
55
What is the greatest common factor of 9 and 1233?
9
Calculate the highest common factor of 864 and 135.
27
What is the greatest common factor of 136 and 1224?
136
Calculate the greatest common factor of 1349 and 171.
19
What is the highest common divisor of 675 and 1200?
75
What is the greatest common factor of 21 and 98?
7
Calculate the greatest common factor of 39 and 338.
13
What is the highest common divisor of 54 and 126?
18
Calculate the greatest common divisor of 21 and 1344.
21
Calculate the highest common factor of 315 and 280.
35
Calculate the greatest common divisor of 384 and 108.
12
Calculate the highest common divisor of 30 and 103470.
30
Calculate the highest common divisor of 4 and 80.
4
Calculate the highest common divisor of 20 and 56.
4
Calculate the greatest common divisor of 145 and 493.
29
What is the greatest common divisor of 219 and 15549?
219
What is the greatest common divisor of 2 and 566?
2
What is the highest common divisor of 28 and 224?
28
What is the highest common divisor of 3285 and 9?
9
Calculate the highest common divisor of 704 and 11.
11
Calculate the greatest common factor of 24 and 3.
3
Calculate the greatest common divisor of 825 and 1150.
25
What is the greatest common divisor of 16 and 12?
4
Calculate the highest common factor of 1200 and 270.
30
What is the highest common factor of 60 and 10020?
60
What is the highest common divisor of 6 and 81?
3
Calculate the highest common factor of 156 and 780.
156
Calculate the highest common divisor of 24 and 12.
12
What is the greatest common factor of 39 and 2743?
13
Calculate the highest common divisor of 4640 and 145.
145
What is the greatest common factor of 36 and 31836?
12
Calculate the greatest common divisor of 130 and 290.
10
Calculate the highest common divisor of 949 and 247.
13
Calculate the greatest common divisor of 216 and 12258.
54
Calculate the greatest common divisor of 17025 and 75.
75
Calculate the highest common factor of 669 and 13826.
223
Calculate the highest common divisor of 8 and 424.
8
What is the highest common factor of 2200 and 176?
88
What is the highest common divisor of 60 and 412?
4
Calculate the greatest common divisor of 55 and 891.
11
Calculate the highest common divisor of 37 and 1591.
37
Calculate the greatest common divisor of 15 and 5.
5
What is the highest common factor of 250 and 150?
50
Calculate the greatest common factor of 2464 and 28.
28
What is the greatest common divisor of 456 and 114?
114
What is the greatest common factor of 1107 and 135?
27
Calculate the greatest common factor of 2874 and 36.
6
What is the greatest common factor of 48 and 7248?
48
Calculate the greatest common divisor of 434 and 17143.
217
Calculate the highest common divisor of 480 and 1536.
96
What is the greatest common factor of 143 and 33?
11
What is the highest common factor of 12700 and 350?
50
What is the greatest common factor of 5148 and 3042?
234
Calculate the highest common divisor of 8342 and 388.
194
What is the highest common divisor of 2366 and 546?
182
What is the greatest common divisor of 310 and 450?
10
Calculate the highest common factor of 30 and 40.
10
What is the greatest common factor of 390 and 234?
78
What is the highest common divisor of 456 and 7448?
152
What is the highest common factor of 2 and 8?
2
Calculate the highest common factor of 11400 and 75.
75
What is the greatest common factor of 484 and 44?
44
Calculate the greatest common divisor of 5614 and 56.
14
Calculate the highest common divisor of 258 and 1434.
6
What is the highest common divisor of 35 and 5880?
35
What is the highest common divisor of 4176 and 203?
29
Calculate the highest common divisor of 90 and 130.
10
What is the greatest common divisor of 407 and 1073?
37
What is the highest common divisor of 65 and 455?
65
What is the highest common divisor of 20 and 85?
5
What is the highest common divisor of 4250 and 1870?
170
What is the highest common factor of 20 and 79?
1
Calculate the greatest common factor of 8 and 390.
2
What is the greatest common divisor of 1479 and 609?
87
Calculate the greatest common factor of 230 and 5382.
46
What is the highest common divisor of 105 and 21?
21
What is the greatest common divisor of 168 and 672?
168
Calculate the greatest common divisor of 1081 and 423.
47
What is the highest common divisor of 16 and 1808?
16
Calculate the greatest common factor of 51 and 27.
3
What is the greatest common factor of 128 and 272?
16
What is the highest common factor of 7 and 2310?
7
Calculate the greatest common divisor of 2875 and 23.
23
What is the highest common divisor of 64 and 928?
32
Calculate the greatest common divisor of 2599 and 904.
113
Calculate the greatest common factor of 3078 and 162.
162
Calculate the highest common divisor of 4551 and 246.
123
What is the greatest common factor of 9559 and 158?
79
Calculate the highest common divisor of 14359 and 83.
83
Calculate the greatest common divisor of 386 and 2.
2
What is the highest common divisor of 10 and 53930?
10
Calculate the greatest common factor of 4704 and 7938.
294
Calcul
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{
"pile_set_name": "DM Mathematics"
}
|
*4 + 410*u**3 + 420*u**2 - 410*u - 415 = 0.
-1, 1, 83
Suppose 9*s**4/4 + 73857*s**3/2 + 602143321*s**2/4 - 8107529080*s + 108451662400 = 0. Calculate s.
-8233, 80/3
Suppose 3*s**2 - 75630*s + 476658075 = 0. Calculate s.
12605
Suppose 15*o**5 + 215*o**4 - 665*o**3 + 265*o**2 + 170*o = 0. Calculate o.
-17, -1/3, 0, 1, 2
Determine o, given that 4*o**3/5 + 408*o**2/5 + 11972*o/5 + 107616/5 = 0.
-59, -24, -19
Find r such that -r**5/2 + 25195*r**4/2 - 158709603*r**3/2 + 158684409*r**2/2 = 0.
0, 1, 12597
Factor 3*o**4/7 + 393*o**3 + 5490*o**2/7.
3*o**2*(o + 2)*(o + 915)/7
Solve h**5 + 585*h**4 + 34251*h**3 - 1757*h**2 - 103932*h - 68508 = 0 for h.
-519, -66, -1, 2
Factor -2*q**4/7 + 48*q**3/7 + 51840*q**2/7 + 3974400*q/7 + 88128000/7.
-2*(q - 204)*(q + 60)**3/7
Suppose -2*w**3 + 16352*w**2 + 953462*w + 13849588 = 0. What is w?
-29, 8234
What is t in -t**2/2 - 1185*t = 0?
-2370, 0
Factor -2*d**4/3 - 8972*d**3 - 90585794*d**2/3 - 60363616*d - 90531968/3.
-2*(d + 1)**2*(d + 6728)**2/3
What is z in 3*z**3/8 - 243*z**2/2 + 77751*z/8 + 79707/4 = 0?
-2, 163
What is q in 2*q**4/5 + 122*q**3/5 + 1402*q**2/5 - 1778*q/5 - 612 = 0?
-45, -17, -1, 2
Factor -t**4 + 2*t**3 + 249*t**2 + 702*t.
-t*(t - 18)*(t + 3)*(t + 13)
Solve 56*u**4 + 138282*u**3 + 597922462*u**2/7 + 447655680*u/7 - 149299200/7 = 0 for u.
-8640/7, -1, 1/4
Determine h so that 50*h**4/13 + 98940*h**3/13 + 177978*h**2/13 + 94904*h/13 + 15816/13 = 0.
-1977, -1, -2/5
Factor j**4 - 669*j**3 + 127662*j**2 - 5120192*j + 14229600.
(j - 308)**2*(j - 50)*(j - 3)
Solve -c**2/2 + 143743*c - 20662050049/2 = 0 for c.
143743
What is k in -2*k**2/13 - 21426*k - 278536/13 = 0?
-139268, -1
Factor v**2/2 + 16097*v/2 + 8048.
(v + 1)*(v + 16096)/2
Let 22*d**3 + 61332*d**2 - 72510*d + 11156 = 0. What is d?
-2789, 2/11, 1
Factor o**2 + 3815*o + 79674.
(o + 21)*(o + 3794)
Let -v**4/4 - 7*v**3/4 + 43*v**2/4 - 17*v/4 - 33/2 = 0. What is v?
-11, -1, 2, 3
Solve 690533284*y**2/3 + 210224*y/3 + 16/3 = 0 for y.
-2/13139
Factor 2*u**2/9 - 46*u/3 - 216.
2*(u - 81)*(u + 12)/9
Determine z so that -4*z**2/5 - 808*z/5 - 3168/5 = 0.
-198, -4
Determine r, given that 414*r**4/7 - 754*r**3/7 - 14642*r**2/7 - 2582*r/7 + 20 = 0.
-5, -2/9, 1/23, 7
Factor 2*v**3 + 1464*v**2 - 1470*v - 2932.
2*(v - 2)*(v + 1)*(v + 733)
Factor 3*i**2 - 2788470*i + 647963745075.
3*(i - 464745)**2
Let 105*x**2/4 + 643757*x/4 + 6131/2 = 0. What is x?
-6131, -2/105
Let 1715*y**4 - 152855255*y**3 + 65509185*y**2 - 9358445*y + 445640 = 0. What is y?
1/7, 89128
Factor -4*a**2 + 798236*a - 798232.
-4*(a - 199558)*(a - 1)
Factor i**3 - 86*i**2 - 835*i - 1900.
(i - 95)*(i + 4)*(i + 5)
Factor -4*z**2 + 157116*z - 1099616.
-4*(z - 39272)*(z - 7)
Factor -496*w**2 + 5476*w - 220.
-4*(w - 11)*(124*w - 5)
Factor 2*b**4/5 - 244*b**3/5 + 9506*b**2/5 - 115248*b/5.
2*b*(b - 49)**2*(b - 24)/5
Factor -51*k**2 - 228*k + 468.
-3*(k + 6)*(17*k - 26)
Solve x**3 - 1745*x**2 - 1788*x + 73332 = 0.
-7, 6, 1746
Factor -5*h**3/3 + 10620*h**2.
-5*h**2*(h - 6372)/3
Determine r, given that -1083*r**5/2 - 20463*r**4 - 107229*r**3/2 - 25935*r**2 + 7338*r - 420 = 0.
-35, -2, -1, 2/19
Factor 3*c**2/5 - 3399*c/5 - 65664/5.
3*(c - 1152)*(c + 19)/5
Determine b, given that 2*b**5/11 - 4*b**4/11 - 120*b**3/11 + 144*b**2/11 + 1728*b/11 = 0.
-6, -4, 0, 6
Let 3*o**2 - 27141*o + 244026 = 0. What is o?
9, 9038
Factor o**3/6 + 14384*o**2/3 + 143821*o/6 + 28763.
(o + 2)*(o + 3)*(o + 28763)/6
Suppose 2*h**2/5 - 62682*h/5 + 188028/5 = 0. Calculate h.
3, 31338
Find w such that 5*w**4/4 + 95*w**3/4 + 105*w**2/2 - 530*w - 560 = 0.
-14, -8, -1, 4
Let -8*z**5 - 9788*z**4 - 3010968*z**3 - 10428548*z**2 - 2962160*z + 4465200 = 0. Calculate z.
-610, -3, -1, 1/2
Factor 2*d**3/7 + 3616*d**2/7 + 186030*d/7.
2*d*(d + 53)*(d + 1755)/7
Find l such that 19*l**3/10 + 553*l**2/5 + 12119*l/10 - 6622/5 = 0.
-43, -308/19, 1
Suppose -2*b**3/5 + 74*b**2 + 11504*b/5 - 11872/5 = 0. What is b?
-28, 1, 212
Let 3*q**3/5 - 711*q**2/5 + 13077*q/5 - 12369/5 = 0. Calculate q.
1, 19, 217
Find i such that 77*i**3/5 - 6618*i**2/5 + 6201*i/5 + 68 = 0.
-4/77, 1, 85
What is b in 4*b**4 - 2824*b**3 - 2868*b**2 + 28312*b - 22624 = 0?
-4, 1, 2, 707
Solve -4*u**5/3 + 308*u**4/3 - 732*u**3 - 396*u**2 + 8280*u = 0.
-3, 0, 5, 6, 69
Factor -2*s**2/11 + 29364*s/11 + 8010.
-2*(s - 14685)*(s + 3)/11
Factor 3*j**5/2 - 4599*j**4/2 - 9207*j**3/2 - 4605*j**2/2.
3*j**2*(j - 1535)*(j + 1)**2/2
Solve 5*q**3 - 117810*q**2 - 471300*q - 471320 = 0.
-2, 23566
Factor -5*s**2 + 1775*s - 157380.
-5*(s - 183)*(s - 172)
Find l such that 4*l**3 - 1188*l**2 + 66912*l + 3335104 = 0.
-31, 164
Solve 4*j**3 + 160*j**2 + 1364*j - 3400 = 0.
-25, -17, 2
Factor c**3/5 - 516*c**2/5 + 2549*c/5 + 3066/5.
(c - 511)*(c - 6)*(c + 1)/5
Factor 4*r**4 - 12592*r**3 + 9947608*r**2 - 59346096*r + 88849476.
4*(r - 1571)**2*(r - 3)**2
Let -g**3/3 + 62*g**2/3 + 329*g/3 + 134 = 0. What is g?
-3, -2, 67
Factor 5*y**2 + 20945*y + 1421400.
5*(y + 69)*(y + 4120)
Solve -4*w**4 + 372*w**3 + 7560*w**2 + 47088*w + 95904 = 0 for w.
-6, 111
Factor 5*j**2 + 622015*j.
5*j*(j + 124403)
Solve 5*n**4/6 + 292925*n**3 + 154447342565*n**2/6 - 51483326300*n + 77225428840/3 = 0.
-175756, 1
Let -2*v**2/13 + 3118*v/13 - 9336/13 = 0. What is v?
3, 1556
Let y**4/6 + 329*y**3/6 - 1247*y**2/2 - 329*y/6 + 1870/3 = 0. What is y?
-340, -1, 1, 11
Determine n so that 2*n**2/5 + 10218*n/5 - 133172/5 = 0.
-5122, 13
Factor -112148480*z**3 - 112290560*z**2 - 142125*z - 45.
-5*(z + 1)*(4736*z + 3)**2
Let -n**5/2 + 7*n**4/2 + 191*n**3/2 + 733*n**2/2 - 185*n - 1900 = 0. Calculate n.
-5, -4, 2, 19
Factor -15*c**2 - 137260*c + 45755.
-5*(c + 9151)*(3*c - 1)
Solve -2*f**2/13 + 13420*f/13 + 53712/13 = 0 for f.
-4, 6714
Solve -2*z**2/23 - 900776*z/23 - 101424675272/23 = 0.
-225194
Factor 2*n**2 - 440*n + 3392.
2*(n - 212)*(n - 8)
Factor -4849*x**2 + 12*x.
-x*(4849*x - 12)
Factor -o**2/4 - 19379*o/4 + 4845.
-(o - 1)*(o + 19380)/4
Solve -2*k**4/5 - 12434*k**3/5 + 12436*k**2/5 = 0.
-6218, 0, 1
Solve -2*a**4/3 - 182*a**3/3 - 976*a**2 + 72200*a/3 + 680000/3 = 0 for a.
-50, -8, 17
What is x in -2*x**2/7 - 960*x - 806400 = 0?
-1680
Let 934*s**5/5 - 5608*s**4/5 - 182*s**3 + 5608*s**2/5 - 24*s/5 = 0. Calculate s.
-1, 0, 2/467, 1, 6
Let -5*c**4 - 32340*c**3 - 64660*c**2 = 0. Calculate c.
-6466, -2, 0
Let -y**3/4 - 3202*y**2 - 10259205*y - 40985604 = 0. Calculate y.
-6402, -4
Factor 3*y**3 - 171*y**2.
3*y**2*(y - 57)
Let 3*v**2 - 228510*v + 4351401675 = 0. Calculate v.
38085
Factor a**3/3 - 80*a**2/3 + 431*a - 1062.
(a - 59)*(a - 18)*(a - 3)/3
Determine w, given that -4*w**2/7 + 404*w/7 + 5928/7 = 0.
-13, 114
Solve -z**3/6 - 358*z**2/3 - 14144*z + 2774400 = 0.
-408, 100
Solve -2*u**3/7 + 12*u**2 + 2358*u/7 - 2440/7 = 0.
-20, 1, 61
Factor -x**2 + 16638*x - 49905.
-(x - 16635)*(x - 3)
Let -3*a**3 - 66*a**2 - 57*a + 126 = 0. Calculate a.
-21, -2, 1
Suppose -2*o**4/9 - 386*o**3/9 + 4082*o**2/9 + 4466*o/9 = 0. Calculate o.
-203, -1, 0, 11
Factor 2*t**3/9 + 3626*t**2/9 + 7238*t/9 - 3622/3.
2*(t - 1)*(t + 3)*(t + 1811)/9
What is y in -2*y**4/3 - 10*y**3 + 62*y**2 + 2470*y/3 - 2704 = 0?
-13, 3, 8
Find n such that -2*n**3 - 4058*n**2 - 20248*n - 16192 = 0.
-2024, -4, -1
Let 26*t**4/3 + 350*t**3/3 + 1586*t**2/3 + 870*t + 300 = 0. What is t?
-5, -3, -6/13
Factor 3*u**3 - 2320*u**2/3 + 599*u + 514/3.
(u - 257)*(u - 1)*(9*u + 2)/3
Factor 15*s**3 + 11000*s**2 + 25585*s.
5*s*(s + 731)*(3*s + 7)
Factor -4*o**3/7 - 4104*o**2/7 + 2352*o - 16480/7.
-4*(o - 2)**2*(o + 1030)/7
Determine d so that -d**5/7 - 24030*d**4/7 + 48068*d**3/7 + 96120*d**2/7 - 192256*d/7 = 0.
-24032, -2, 0, 2
Find j, given that -5*j**3 + 1890*j**2 - 144525*j - 6724000 = 0.
-32, 205
Factor 5*i**2 + 1895*i + 176790.
5*(i + 166)*(i + 213)
Let -236*c**3 + 23140*c**2 + 70332*c - 3636 = 0. Calculate c.
-3, 3/59, 101
Let -5*i**5/3 - 55*i**4/3 + 25*i**3/3 + 1175*i**2/3 - 20*i/3 - 1120/3 = 0. What is i?
-8, -7, -1, 1, 4
Find x such that 1323*x**3/2 - 210*x**2 + 50*x/3 = 0.
0, 10/63
Solve 4*d**3/7 + 6484*d**2/7 + 159496*d/7 - 23712 = 0 for d.
-1596, -26, 1
Determine l, given that 2*l**4 + 698*l**3 + 15232*l**2 + 77128*l + 62592 = 0.
-326, -16, -6, -1
Factor -x**2 + 250651*x/7 - 71614/7.
-(x - 35807)*(7*x - 2)/7
Suppose 5*h**5 + 13935*h**4 + 9757775*h**3 + 67553625*h**2 - 49345000*h - 724537500 = 0. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-11, 1/4, 18, 787
Factor -h**3/3 + 27413*h**2/3.
-h**2*(h - 27413)/3
Let -6*m**4/13 - 5056*m**3/13 - 1098854*m**2/13 - 14131036*m/13 - 687216 = 0. Calculate m.
-417, -412, -13, -2/3
Suppose 2*j**5/5 - 127876*j**4/5 + 2044289656*j**3/5 - 8175496316*j**2/5 + 6131334534*j/5 = 0. What is j?
0, 1, 3, 31967
Let 2*p**3/7 + 63332*p**2/7 + 19437570*p/7 - 14110200 = 0. Calculate p.
-31356, -315, 5
Find w such that 3*w**4/5 - 249*w**3/5 + 7026*w**2/5 - 15648*w + 53280 = 0.
6, 20, 37
Factor -3*t**2/2 + 4668114*t - 28008657/2.
-3*(t - 3112073)*(t - 3)/2
Suppose -2*s**4 - 2506*s**3 + 15170*s**2 + 77986*s - 90648 = 0. What is s?
-1259, -4, 1, 9
Solve -l**3/5 + 96*l**2/5 - 409*l + 390 = 0.
1, 30, 65
Let t**3 - 79882*t**2 - 878799*t - 1917432 = 0. Calculate t.
-8, -3, 79893
What is w in -38*w**3 - 114562*w**2 + 138728*w - 24128 = 0?
-3016, 4/19, 1
Let h**4/2 - 2536*h**3 - 220035*h**2/2 + 230175*h = 0. What is h?
-45, 0, 2, 5115
Find k, given that 2*k**4 - 1118142*k**3 + 156279632448*k**2 + 156280750592*k = 0.
-1, 0, 279536
Factor 3*z**3 + 4434*z**2 + 1654896*z + 19225440.
3*(z + 12)*(z + 676)*(z + 790)
Factor 2*d**2/7 - 898270*d/7.
2*d*(d - 449135)/7
What is c in c**3 - 481090*c**2 + 2886509*c - 2405420 = 0?
1, 5, 481084
Let 5*h**4 - 292550*h**3 - 105*h**2 + 6143650*h - 5851000 = 0. What is h?
-5, 1, 4, 58510
Find c, given that -5*c**4 - 8570*c**3 - 135225*c**2 + 1043280*c - 1681020 = 0.
-1698, -22, 3
Let -2*p**3/7 - 1202*p**2/7 - 181576*p/7 - 358360/7 = 0. What is p?
-310, -289, -2
Factor 5*x**2 + 4546350*x - 4546355.
5*(x - 1)*(x + 909271)
Suppose -5*h**4 - 521425*h**3 + 3650180*h**2 - 4171760*h - 8343360 = 0. What is h?
-104292, -1, 4
Let x**5/4 - 37*x**4/4 - 1095*x**3/4 - 2675*x**2/4 + 3067*x/2 + 1938 = 0. What is x?
-17, -4, -1, 2, 57
Find b, given that 2*b**2/7 - 12293412*b/7 - 36880254/7 = 0.
-3, 6146709
Solve 2*f**4/13 + 7180*f**3/13 - 3878*f**2 - 201472*f/13 - 143880/13 = 0.
-3597, -2, -1, 10
Factor 3*u**3/4 - 7988085*u**2/4 + 23964174*u - 71892441.
3*(u - 2662683)*(u - 6)**2/4
Solve 2*j**2/7 - 446336*j/7 + 446322 = 0 for j.
7, 223161
Factor 9785*c**3/4 - 25284439*c**2/8 + 2041718207*c/2 + 104329/2.
(c - 646)**2*(19570*c + 1)/8
Find b, given that b**2/7 - 24569*b + 1719730/7 = 0.
10, 171973
Suppose 4*s**3 - 19676*s**2 + 23459900*s - 23440228 = 0. What is s?
1, 2027, 2891
Find w, given that w**5/3 + 5*w**4 - 7*w**3 - 799*w**2/3 - 404*w + 672 = 0.
-12, -8, -3, 1, 7
Suppose -2*r**3 - 235002*r**2 - 2349852*r - 3759712 = 0. Calculate r.
-117491, -8, -2
Factor h**2/3 - 50473*h/3 + 2218876/3.
(h - 50429)*(h - 44)/3
Solve -j**2 + 9822650*j - 24121113255625 = 0.
4911325
Determine m, given that -36*m**2/11 + 114834*m/11 + 5004426/11 = 0.
-43, 19397/6
Factor 2*c**3 + 42716*c**2 - 2742146*c - 2784860.
2*(c - 65)*(c + 1)*(c + 21422)
Factor 4*n**3 + 145968*n**2 - 4089780*n + 16799200.
4*(n - 23)*(n - 5)*(n + 36520)
Determine s so that 2*s**2/15 - 18572224*s/15 + 43115938038272/15 = 0.
4643056
Factor 3*g**3 + 901857*g**2 + 67761247737*g - 2644060564197.
3*(g - 39)*(g + 150329)**2
Solve v**5/8 - 697*v**4/8 - 125705*v**3/8 + 2208873*v**2/8 + 1198017*v/2 + 614547/2 = 0 for v.
-162, -1, 18, 843
Let 32*y**3/3 + 715590032*y**2/3 - 357795034*y + 134173140 = 0. What is y?
-22362190, 3/4
Solve 2*o**3/3 + 1790*o**2/3 + 36784*o/3 + 66424/3 = 0.
-874, -19, -2
Solve l**4/3 - 529*l**3 + 25678*l**2 - 282808*l/3 = 0 for l.
0, 4, 46, 1537
Factor -7*f**2 - 167341*f + 23906.
-(f + 23906)*(7*f - 1)
Factor 4*m**2 - 9424*m + 5533312.
4*(m - 1244)*(m - 1112)
Find j, given that -j**2/5 - 52913752*j/5 - 699966287679376/5 = 0.
-26456876
Find y such that y**2/6 - 13007*y/2 + 604345/3 = 0.
31, 38990
Determine c, given that 3*c**4/7 - 4542*c**3/7 + 586296*c**2/7 - 17654466*c/7 - 21982125 = 0.
-7, 73, 1375
Find m such that -3*m**5/5 - 5694*m**4/5 + 11484*m**3/5 + 159738*m**2/5 + 262263*m/5 + 23940 = 0.
-1900, -3, -1, 7
Determine i so that -2*i**2 - 93133556*i - 1084232406650642 = 0.
-23283389
Find l, given that -135*l**2/2 + 648635*l/2 + 96100 = 0.
-8/27, 4805
Factor 252*o**2 - 52713*o - 35254.
(3*o + 2)*(84*o - 17627)
What is t in 395*t**4 + 1041219*t**3 - 4172256*t**2 + 4181756*t - 10560 = 0?
-2640, 1/395, 2
Let 972*l**5/19 + 31518*l**4/19 - 125000*l**3/19 + 2304*l**2/19 = 0. Calculate l.
-36, 0, 1/54, 32/9
Find v such that 16*v**4 + 12639264*v**3 - 25278612*v**2 - 15799120*v = 0.
-789956, -1/2, 0, 5/2
Factor -4*y**3 - 34908*y**2 + 384360*y - 978656.
-4*(y - 7)*(y - 4)*(y + 8738)
Let 3*r**5/2 - 11616*r**4 + 23211*r**3/2 + 69687*r**2 = 0. What is r?
-2, 0, 3, 7743
Factor -3*d**3 - 4380*d**2 - 207561*d - 203184.
-3*(d + 1)*(d + 48)*(d + 1411)
Determine d, given that 3*d**5/8 - 67779*d**4/8 + 383002125*d**3/8 - 1913248761*d**2/8 - 47875266*d + 478329135/2 = 0.
-1, 1, 5, 11294
Let 2*v**2 + 62908*v + 20233850 = 0. Calculate v.
-31129, -325
Factor -o**2/3 + 710630*o/3 - 11132467.
-(o - 710583)*(o - 47)/3
Suppose n**4/2 - 9198*n**3 + 44599439*n**2 - 21135504726*n + 5280054878569/2 = 0. Calculate n.
257, 8941
Factor -3*r**2 - 74168214*r + 148336440.
-3*(r - 2)*(r + 24722740)
Suppose 2*z**4 - 978*z**3 - 79716*z**2 - 2002264*z - 16349520 = 0. What is z?
-30, -22, 563
Factor -5*x**3 + 245885*x**2 + 245890*x.
-5*x*(x - 49178)*(x + 1)
Factor 5*j**3 + 1154425*j**2 - 9235640*j + 18471440.
5*(j - 4)**2*(j + 230893)
Determine t so that -t**5/2 + 464*t**4 + 46*t**3 - 42760*t**2 + 66496*t + 296960 = 0.
-10, -2, 4, 8, 928
Determine r so that r**5 - 72*r**4 + 1463*r**3 - 5856*r**2 - 40464*r + 44928 = 0.
-4, 1, 12, 24, 39
Determine f so that -f**2/5 + 69424*f/5 + 624897/5 = 0.
-9, 69433
Factor p**2 - 6556262*p + 10746142853161.
(p - 3278131)**2
Solve -12*r**2 + 20787*r - 370278 = 0.
18, 6857/4
Factor 2*y**2/17 - 1313458*y/17 - 17075292/17.
2*(y - 656742)*(y + 13)/17
Determine a, given that -2*a**4/3 + 36667826*a**3/3 - 220006812*a**2 + 1320040584*a - 2640080880 = 0.
6, 18333895
Factor -c**3/4 + 2365*c**2/4 + 70361725*c/4 - 292708050625/4.
-(c - 5695)**2*(c + 9025)/4
Factor -2*x**2/9 - 1016*x/3 + 520490/9.
-2*(x - 155)*(x + 1679)/9
Find v such that -4*v**3 + 920*v**2 + 41964*v = 0.
-39, 0, 269
Factor -a**2/4 + 2360*a + 861696.
-(a - 9792)*(a + 352)/4
Determine l so that 3*l**4 + 39486*l**3 + 20364879*l**2 + 2618146872*l - 16450549740 = 0.
-12630, -269, 6
Determine a, given that -a**4 - 2476*a**3 + 108317*a**2 = 0.
-2519, 0, 43
Solve 2*u**2/5 - 1980692*u/5 - 3565278 = 0.
-9, 990355
Factor 2111209*t**3/3 + 707611*t**2/3 - 1877920*t/3 - 940900/3.
(t - 1)*(1453*t + 970)**2/3
Let -2*q**4/5 + 378*q**3/5 - 6286*q**2/5 - 128634*q/5 - 121968/5 = 0. Calculate q.
-11, -1, 33, 168
Find s, given that 5*s**4 - 325*s**3 + 6960*s**2 - 51440*s + 44800 = 0.
1, 16, 20, 28
Solve 4*m**3 + 11377200*m**2 + 68263088*m + 91017408 = 0 for m.
-2844294, -4, -2
Suppose z**2/11 + 4506115*z/11 + 54073236/11 = 0. Calculate z.
-4506103, -12
Let z**3/6 - 5543*z**2/6 + 5062988*z/3 - 1013149480 = 0. Calculate z.
1455, 2044
Determine z, given that -4*z**2/9 + 1449545672*z/9 - 131323915950870724/9 = 0.
181193209
What is j in -84*j**4 - 5025460*j**3 - 75161677096*j**2 + 82325481808*j - 7158779168 = 0?
-29914, 2/21, 1
Factor -3*j**2 + 1212123*j + 9697176.
-3*(j - 404049)*(j + 8)
Suppose 4*w**3 + 3812*w**2 - 106212*w - 12134340 = 0. What is w?
-977, -45, 69
Find j such that j**3/5 + 2806*j**2/5 + 88768*j/5 = 0.
-2774, -32, 0
Find l, given that -2*l**2 - 5422*l - 863940 = 0.
-2541, -170
Let 5*w**5/4 - 24005*w**4/4 + 19670945*w**3/4 - 19598955*w**2/4 - 19646955*w/2 = 0. What is w?
-1, 0, 2, 1047, 3753
Solve 3*c**5 + 13644324*c**4 + 81865791*c**3 - 204664566*c**2 + 109154448*c = 0.
-4548102, -8, 0, 1
Suppose 7*b**5/8 - 129*b**4/8 + 225*b**3/4 + 925*b**2/2 - 3159*b + 4248 = 0. What is b?
-6, 2, 6, 8, 59/7
Determine i, given that 3*i**4/7 - 56532*i**3 + 13055328633*i**2/7 - 52175364120*i - 54040467600 = 0.
-1, 29, 65940
Factor -h**2/2 + 5266684*h.
-h*(h - 10533368)/2
Solve -45*u**4 + 503360*u**3 - 1417077640*u**2 + 52813872960*u + 11806400880 = 0 for u.
-2/9, 38, 5574
Find o such that 27*o**5 - 2613*o**4 + 66405*o**3 - 225063*o**2 - 822552*o - 170940 = 0.
-2, -2/9, 7, 37, 55
Suppose -j**5 + 233*j**4 + 38816*j**3 - 531816*j**2 + 1994832*j - 1502064 = 0. Calculate j.
-122, 1, 6, 342
Find z, given that -2*z**3/13 + 1218*z**2/13 + 6356624*z/13 + 44436000/13
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.5 (b) y (c) d
c
Let q = 3.09 - 0.09. Let v = q + -6. Which is the smallest value? (a) v (b) -0.3 (c) 0
a
Let l = 5.1 + -2.3. Let d = l + -3. Which is the third smallest value? (a) d (b) 4/7 (c) -2
b
Let i(o) = o + 12. Let p be i(-8). Which is the third smallest value? (a) -5 (b) p (c) -2
b
Let f(x) = -x - 6. Let j be f(-5). What is the second smallest value in j, -0.1, 1?
-0.1
Suppose -2*m - 36 = 4*w - 8, -3*w - 27 = 3*m. Which is the second biggest value? (a) w (b) -0.3 (c) 3
b
Let p = -5.6 - -4.6. Which is the second biggest value? (a) p (b) -3 (c) 17
a
Let a = 56 - 56.4. What is the third smallest value in 0.3, a, -6?
0.3
Let l = -11 - -10. Which is the smallest value? (a) 5 (b) l (c) -1/3
b
Let g = -0.0198 + 5.0798. Let t = 0.06 - g. Let s be 2/7 + (-12)/21. What is the smallest value in -2, t, s?
t
Let w = 0.04 - 3.04. Let d = w + 2. Which is the third smallest value? (a) 0 (b) 4 (c) d
b
Let z = -2 - 10. What is the third biggest value in z, 1, 0.4?
z
Let t = 53 + -58. What is the fourth biggest value in 0.3, -1/3, t, -3?
t
Let q = 7 + -8. Let u be (-12 - -3) + 1 + q. Let x be (-6)/(-27)*u/6. What is the smallest value in 0.3, 1, x?
x
Let k = -7/5 - -6/5. What is the second smallest value in 0, k, 0.4?
0
Let l = -703 - -698.91. Let k = -0.09 - l. Let i = 7 - k. Which is the second biggest value? (a) -2 (b) i (c) 2
c
Let r(h) = -h + 6. Let l be r(6). Let q = -24.3 + 24. Which is the smallest value? (a) -5 (b) l (c) q
a
Let o(g) = g - 2. Let r be o(6). Suppose -8 = r*y - 2*y. Let f = -2.2 + 2.6. Which is the third biggest value? (a) f (b) y (c) 1
b
Let p(l) = -l - 6*l + l**2 + 6 - 8. Let w be p(7). Let c be 1 + 1 + 49/(-21). What is the third smallest value in 0.5, w, c?
0.5
Let x = 31.01 - 0.01. Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) x (d) -0.5
d
Let t = -0.01 - -0.21. Which is the third biggest value? (a) 0.3 (b) -0.08 (c) t
b
Let s = 0.3 - 0.5. Let u = 29 - 117/4. Which is the smallest value? (a) s (b) u (c) 1
b
Let f be (-4)/(-3)*18/(-12). Let s(c) = -3*c. Let o be s(-1). Let h = -0.2 - -0.1. What is the third biggest value in f, h, o?
f
Suppose 2*p + p = 0. Suppose p = 4*i - 0*i - 4. Which is the third biggest value? (a) i (b) -2 (c) -1
b
Let w = -0.134 - 12.666. Let m = 13 + w. What is the smallest value in -0.2, -1/6, m?
-0.2
Let s be 99/21 + 2/7. Let b be 4/10 + 142/(-5). Let n be (-17)/b - (-5)/35. What is the third biggest value in -4, n, s?
-4
Suppose -5*x - 28 = -3, -422 = -4*r - 2*x. Let c be (-1)/4 + (-45)/r. Let s be ((-6)/(-8))/((-3)/(-2)). What is the second smallest value in s, 1, c?
s
Let s = 0.05 - -0.05. Let x = 216 + -2806/13. What is the third smallest value in -4/5, x, s?
x
Suppose 4*y + 19 = q, -2*q = 3*y + 2*y + 40. Let t be (-24)/27 + (-4)/y. Which is the smallest value? (a) 0 (b) t (c) -1
c
Let v(p) = -9 - 3*p - 4*p + 5*p. Let z be 6/((-9)/(-3) + -4). Let i be v(z). Which is the third smallest value? (a) i (b) -3/4 (c) 1/4
a
Let f = 181 + -1269/7. Which is the smallest value? (a) f (b) 2 (c) 2/3
a
Let g = 2 + 2. Suppose g = -w - w. Let h be (5/1)/((-8)/w). What is the third smallest value in 0, h, -0.5?
h
Let d = -6.2 + 7.2. Let z = 1 - 1. What is the smallest value in -3, d, z?
-3
Let n = 21 - 22.5. Which is the second smallest value? (a) 0.4 (b) -5 (c) n
c
Let q = -7.04 - -7. Let i = q + -0.26. Which is the smallest value? (a) -5 (b) i (c) 0.3
a
Let v be (64/15)/((-8)/(-48)). Let n = -26 + v. Which is the third biggest value? (a) -6 (b) n (c) -0.2
a
Let i = 1.3 + 0.7. Which is the third smallest value? (a) 5 (b) -6 (c) i (d) -1
c
Let w = 0.22 + -3.18. Let g = -0.1 - -0.14. Let y = g - w. Which is the second biggest value? (a) y (b) -1 (c) -1/2
c
Let r be (-10)/(-2)*4/(-30). Let g = 6 - 4. Let f = 2 - g. Which is the smallest value? (a) r (b) f (c) -4
c
Suppose -58 = 3*u + 2*c - 7*c, -c = -2. Let k = u + 17. What is the second biggest value in k, -0.5, -0.06?
-0.06
Let g = 20 - 22.5. Let z = g - -2.4. What is the third biggest value in z, 3, 2?
z
Let r = 24/5 - 52/15. Which is the second biggest value? (a) r (b) -1/11 (c) -3 (d) -0.2
b
Let v = 17.6 - 18.43. Let c = 0.28 + v. Let a = c - -0.05. What is the second biggest value in 5, a, 0?
0
Let z = -81 + 485/6. Suppose -v + 6*v - 13 = -3*f, 0 = -3*f + 3*v - 3. What is the second biggest value in z, f, 5?
f
Let v = -0.1 - -0.2. Let g = -4.006 - -0.006. What is the third biggest value in v, -1, g?
g
Suppose 3*w - 1 = 4*w, 3*r + 3*w = 456. Let m be 4/(-18) + 289/r. Which is the smallest value? (a) 4 (b) m (c) 0.3
c
Let m = 34.9 - 35. Which is the second smallest value? (a) -3 (b) 2/7 (c) m
c
Let t = 0.555 - 0.055. Let n = -0.2 - -0.3. What is the second biggest value in 0, n, t?
n
Let n = 2/7 + -4/63. What is the third smallest value in n, 5, 0.5, 1?
1
Let u be 77/(-35) - 2/(-1). What is the smallest value in -3/2, u, 1/2?
-3/2
Suppose 3*h = j - 5, 0 = -3*j + h - 1 - 0. Let x = -6 - -11. Which is the biggest value? (a) -2 (b) x (c) j
b
Let k = 9 + -13. Let o = -3 - k. What is the biggest value in 2/11, o, -1/2?
o
Suppose 7 = -2*u + 3*u - 2*x, -4*u = 3*x - 6. Let g = 6 + -9. Which is the biggest value? (a) u (b) 1 (c) g
a
Suppose -2*u + 15 = u. Let g = 10 + u. Let r be (-2)/12*12/g. Which is the second smallest value? (a) -2/3 (b) r (c) -6/5
a
Let j be (-2)/10 + (-2)/5. Let v = j - -14/15. What is the third smallest value in -4, 0, v?
v
Let x be (8/12)/((-2)/(-15)). Which is the second smallest value? (a) 1/5 (b) x (c) -5
a
Let l = 29 - 23.7. Let a = l + -5. Let c be (4 - 1)*(-8)/6. What is the second smallest value in a, c, -2?
-2
Let g = 32 + -30. Which is the second smallest value? (a) g (b) -0.5 (c) -3
b
Let m = -1/19 - 33/95. Let r = m + 1/15. Which is the second smallest value? (a) 3 (b) r (c) -5
b
Let n = -18.8 - -27. Let p = n - 9. Which is the second biggest value? (a) 0.1 (b) p (c) 0.4
a
Let x = 26.3 - 24. Let y = -0.7 - x. What is the third smallest value in y, -5, -2/3?
-2/3
Let f(n) = n**2 + 3*n - 6. Let j be f(-6). Let i = j + -23. Which is the third biggest value? (a) -1/4 (b) 0.1 (c) i
c
Let f = -4 + 7. Let p = -8 + f. Let z be (10 - 5)*(2 + -1). Which is the second smallest value? (a) z (b) p (c) -1
c
Let d = -0.26 + -13.44. Let b = -14 - d. What is the third smallest value in b, -1/4, -3?
-1/4
Let p = 2.1 - 0.1. Let k = -15 - -17. Let a = k + -1.6. What is the second biggest value in -0.2, p, a?
a
Let j(d) = 4*d**3 + 17*d**2 + 3*d - 1. Let q be j(-4). Let w = 12.86 + -14.8. Let o = -0.06 + w. What is the third smallest value in -2/15, q, o?
q
Let r = 6.92 + -0.04. Let f = r - -0.12. Let i = -7.2 + f. Which is the smallest value? (a) -1/10 (b) i (c) 0
b
Suppose -30 - 152 = 5*i + 4*s, 5*i + 176 = -2*s. Which is the smallest value? (a) 0.2 (b) i (c) -3 (d) 2/13
b
Let c = -98 - -103. Let z = 24 + -47/2. What is the third smallest value in z, c, 3?
c
Let t = 1/73 - -214/365. Which is the third biggest value? (a) -3 (b) -1 (c) t
a
Let v(s) = -s**3 + 4*s**2 - 4. Let d be v(4). What is the smallest value in d, 1.8, 0.5?
d
Let m be -6 + (-3 - 1)/(-4). Which is the second biggest value? (a) -0.2 (b) 4/5 (c) 3 (d) m
b
Let q = 3 - 6. Let w = -10 - -5. Let t = 119/4 + -30. Which is the smallest value? (a) w (b) q (c) t
a
Let p = 0.88 + 0.12. Which is the second smallest value? (a) 12 (b) p (c) 3
c
Let f = -64 - -63. What is the third smallest value in 1, 2/9, f?
1
Let z(p) = 2*p + 1. Let o be z(-2). Suppose -6*s + 8 = -2*s. Let x be (-24)/(-9) - 1*s. Which is the second biggest value? (a) x (b) o (c) 4
a
Let k be ((-8)/(-10))/((-27)/(-5)). Let i = 101/135 - k. Let h = -3.2 - -0.2. What is the smallest value in h, i, -5?
-5
Let c = -6 + 9. Let q be 1*-2*c/54. What is the second biggest value in -0.5, 0, q?
q
Let m = -0.55 + -2.45. What is the third smallest value in -5, m, -4, 2?
m
Let r = 5.99 - 2.92. Let w = -0.07 + r. What is the third biggest value in 0, w, 1/5?
0
Let t = 1048 + -36683/35. Let m = t - 2/35. What is the biggest value in -4, 0.3, m?
0.3
Let w = -0.139 + -0.061. Which is the smallest value? (a) -1/3 (b) w (c) -2 (d) -0.3
c
Let t = 0.56 - 0.76. Which is the third biggest value? (a) -8
|
{
"pile_set_name": "DM Mathematics"
}
|
f(i).
-5
Let i(x) = -x**3 - 19*x**2 - 38*x - 58. Let j be i(-17). Let h(z) = -3*z + 23. Determine h(j).
-7
Let y be 15/(-35) + (-87)/(-7). Suppose -4*r = -y*r + 16. Let a(s) = -3*s**2 + s - 2. Calculate a(r).
-12
Let k(a) be the second derivative of 5/6*a**3 + 4*a + 3/2*a**2 - 1/24*a**4 + 0. Let y(d) be the first derivative of k(d). Calculate y(6).
-1
Let l = -249 + 245. Let m(o) = o**2 + o - 7. Calculate m(l).
5
Let a(z) be the second derivative of z**3/2 + 10*z**2 + 399*z. Determine a(-6).
2
Let p(t) = -11*t**2 + 2*t. Let l(c) = -c**2 + c. Let v(w) = 5*l(w) - p(w). Determine v(-2).
18
Let x(i) = -3*i + 1. Let q(m) be the first derivative of -2 - 2*m**2 - 1 + 11 + 3*m**2 + 11*m. Let z be q(-4). What is x(z)?
-8
Let f be 3/12*4*-1. Let s(l) = 2*l**2 - 2*l - 2. Let o be s(f). Let x(t) = -t**3 + t**2 + 2*t. Give x(o).
0
Suppose 13*t - 18 = 11*t. Let u(f) = -f**3 + 8*f**2 + 7*f + 7. What is u(t)?
-11
Let t(w) = -708*w - 712*w + 1417*w - 7. Determine t(-7).
14
Let n(h) = -7*h + 11. Let f(s) = 8*s - 9. Let q(k) = 6*f(k) + 5*n(k). Determine q(-1).
-12
Let b = 27 + -25. Let d(l) = 3*l + 0*l**b + 3*l - 1 + 3 + l**2. Determine d(-5).
-3
Let z(u) = -u**3 - 4*u**2 + 3*u + 5. Suppose 3*l - 30*b + 15 = -28*b, -9 = 5*l + 2*b. Calculate z(l).
-13
Let s(y) = 12*y - 2. Suppose 22 = -11*f + 22*f. Give s(f).
22
Let o(x) be the third derivative of -x**5/60 - 3*x**4/8 - 7*x**3/6 - 109*x**2. Give o(-5).
13
Let c(z) be the first derivative of 5*z**2 + 27*z + 613. Determine c(-3).
-3
Suppose -11*q - 3 = 41. Let f(z) = z**3 + 3*z**2 - 5*z + 5. Calculate f(q).
9
Suppose -163 = 5*s - 128. Let r(t) = -t - 14. What is r(s)?
-7
Let p(m) = m**2 - 9*m + 12. Let l be p(8). Let n(f) = -f + l*f - f + 9 + 0*f. Suppose 0 = -3*k + k - 5*h + 3, 4*h = -k + 6. Give n(k).
-3
Let g be -2*-22*(-6)/(-24). Let n(j) = j**3 - 10*j**2 - 10*j - 8. Give n(g).
3
Suppose 18 = 15*v - 12*v. Let k(x) = x**3 - 6*x**2 - 6. What is k(v)?
-6
Let a be 4/3 - (-6)/9. Let p(t) = 0*t + t**2 - t - a - 2*t. Let v(d) = -d**3 + 11*d**2 + 2*d - 25. Let y be v(11). Calculate p(y).
16
Let k(f) be the third derivative of -f**5/15 + f**4/24 + 7*f**3/3 - 24*f**2. Let u(m) be the first derivative of k(m). Calculate u(1).
-7
Let m(t) = t**2 - 2*t. Suppose 0 = -5*j - 2*y + 9, -19*j = -21*j - 5*y - 9. Calculate m(j).
3
Let p(k) = k**3 + 8*k**2 + 5*k - 10. Let s = 1558 - 1565. Give p(s).
4
Let g(m) = -2*m + 70 + 5*m - 133 + 67. Calculate g(-6).
-14
Let a(w) be the first derivative of -w**3/3 - w**2 - 3*w + 43. Suppose -3*v + 6*v = -3, 0 = -5*j - v - 11. Let t be (6/j)/(-2 + 3). Determine a(t).
-6
Let k(g) be the second derivative of g**4/12 + 2*g**3/3 + 3*g**2/2 + 3*g. Let y be k(-4). Let v(w) = w + 0 + w**2 - 2*w - 1. Give v(y).
5
Let w be -4 + 0 + -1*2. Let y(h) be the second derivative of h**4/12 + 2*h**3/3 - 7*h**2/2 - 36*h. What is y(w)?
5
Suppose -4*p = 2*z + 6, -3*p = z - 1 + 7. Suppose -27*r + 28*r = -z. Let i(t) be the second derivative of t**4/12 + t**2 + t. Give i(r).
11
Let t(j) = j**3 + 12*j**2 + 15*j + 9. Suppose 33 = 97*o - 100*o. Give t(o).
-35
Suppose -5*i + 3 = -7. Let h(g) = -3*g**3 - 1 + 3*g**2 + 4*g - i*g**2 + 0*g**2 - 5*g. What is h(-1)?
4
Let o(l) = l**3 + 7*l**2 + 9*l - 5. Let f be o(-5). Let a(m) = m + 7. Determine a(f).
7
Let g(p) = 13*p**3 - 7*p**2 + p - 4. Let l(u) = 24*u**3 - 14*u**2 + 2*u - 8. Let w(x) = -11*g(x) + 6*l(x). Calculate w(5).
-49
Let s(t) = -t**2 + 2*t - 1. Suppose 3*w + 3*w = 9*w. Calculate s(w).
-1
Let u(l) be the third derivative of -1/30*l**5 - 1/12*l**4 + 0 + 0*l + 1/144*l**6 + 6*l**2 + 0*l**3. Let a(w) be the second derivative of u(w). What is a(3)?
11
Let c(y) = -4 + 3*y + 9*y + 3 - 37*y + 11*y. Determine c(-1).
13
Let u(g) = g**2 + 8*g + 4. Suppose -f = 9*f + 60. Give u(f).
-8
Let o be ((-1)/(-2))/(-39 - -40). Let b(k) be the first derivative of -k + 8 - o*k**2. Calculate b(6).
-7
Let n(w) = -2*w + 33. Let x be n(15). Let k(o) = -4 + 3 - o**3 - 3 + 10*o + 11*o**2 + 2*o**x. What is k(-10)?
-4
Suppose -5*c + 105 = 5*f, 14 = 2*c + 4*f - 26. Suppose -18 - c = -4*u. Let j be ((-12)/u)/((-3)/10). Let d(g) = g**2 - g - 3. What is d(j)?
9
Let y(j) = j**3 + j**2 + j. Suppose 0 = -k + 4*m - 7, -k - m + 0*m = 2. Let c(l) = 2*l**3 + 8*l**2 + 2*l + 5. Let n(s) = k*y(s) + c(s). Give n(4).
17
Let l(u) = u**3 - 11*u**2 - 11*u - 1. Let x(d) = -d**3 - d**2 - d - 5. Let b be x(-2). Let y(n) = n**2 + n - 1. Let g(f) = b*l(f) + 6*y(f). Determine g(6).
-1
Let c(d) = 13*d**3 - 13*d**2 + 29*d - 18. Let w(m) = -7*m**3 + 6*m**2 - 15*m + 9. Let i(v) = 6*c(v) + 11*w(v). Give i(11).
-31
Let o be 12/(-1) - (22 - 28). Let z(j) = -j**3 - 5*j**2 + 8*j + 1. What is z(o)?
-11
Let g(q) = -4*q - 24. Let n be g(-8). Suppose j = n*j - 21. Let l(h) = -h**3 + 3*h**2 + 3*h - 3. Determine l(j).
6
Let c = -48 + 50. Let f(j) = j + 8*j - 9 - 9*j + 6*j - j**c. Let v = 12 + -6. Give f(v).
-9
Let j(d) = 5*d**3 + 7*d**2 - 6*d - 3. Let o be 10/(6/2 - 5). Let v(q) = -6*q**3 - 8*q**2 + 7*q + 4. Suppose c + 4 = -0. Let a(h) = c*v(h) + o*j(h). Give a(-4).
7
Let j = -447 + 454. Let c(q) = -q**2 + 2*q + 9. Determine c(j).
-26
Let f(m) be the third derivative of m**7/840 - m**6/360 - m**5/120 - m**4/6 - 4*m**3/3 - 4*m**2. Let j(v) be the first derivative of f(v). Calculate j(0).
-4
Let i(j) be the first derivative of 1/2*j**2 + 2 + j. Calculate i(-4).
-3
Let l(q) be the first derivative of 6*q**4 - q**3/3 + q**2/2 + q - 86. What is l(-1)?
-25
Let l(i) = -886*i - 9 + 442*i + 443*i. Calculate l(-10).
1
Let h(s) = -10*s + 37. Let b(j) = 5*j - 20. Let l(o) = -11*b(o) - 6*h(o). Let a(n) = 3*n**3 - 1. Suppose 0 = z - 1. Let f be a(z). Calculate l(f).
8
Let j(k) = -99 + 321 + 2*k - 100 - 111. Calculate j(-7).
-3
Let n(y) = -y**3 + 11*y**2 - 10*y - 12. Suppose -3*o = -3*l - 15, -2*o - 5 = -l - 4*l. What is n(o)?
-12
Let h = 51 + -38. Let f(y) = -4 + 6 + h*y - 7*y. Let m(i) = i**2 - 6*i + 2. Let l be m(6). Calculate f(l).
14
Let n(a) = -19*a. Let z(b) = 9*b + 30. Let x be z(-3). Suppose 2*m + 10 = 0, -x*m = f - m + 9. Determine n(f).
-19
Let a be (2 - 5)*(-1)/(-1) - -5. Suppose a - 6 = 2*l. Let c(q) be the second derivative of -q**4/6 + q**3/6 + q**2/2 - 4*q. Calculate c(l).
-9
Let s = -6 + 6. Let q(w) = w. Calculate q(s).
0
Let t(d) = d - 9. Suppose 6*j + 2 = 5*j. Let h = j - -2. Determine t(h).
-9
Let u(x) = 2*x**2 + 11*x + 5. Suppose -4*f = 5*d + 47, -5*d + 0*d + 4*f = 23. Give u(d).
26
Let a(m) be the third derivative of -m**5/60 + m**4/24 + m**3/3 - 3*m**2 - 12*m. Let y = 3 - 0. Suppose y*n = -n. Determine a(n).
2
Let n(w) = w**2 + 0*w**3 - 11*w - 2*w**2 + 5*w**2 + 18*w - 3 - w**3. Determine n(5).
7
Let q(i) = -11*i**2 - i + 1. Suppose -2*y = -4*x - 14, -5*y + 4*y = -4*x - 13. Determine q(y).
-11
Suppose 145 = 42*a - 71*a. Let v(u) = u**3 + u**2. Let i(z) = -4*z**3 + z**2 + z + 7. Let b(s) = i(s) + 5*v(s). Calculate b(a).
27
Let a(f) = 21*f - 10 - 13*f - 9*f. Suppose 0 = -4*x + 4*t, 5*x = -0*x - t. Calculate a(x).
-10
Let u(d) = d**3 + 3*d**2 - 3*d + 2. Let k = -94 + 88. Let v be 0 - (2 - (4 + k)). Calculate u(v).
-2
Let z(g) be the first derivative of g**6/120 - g**5/15 + 2*g**3/3 + 3*g**2/2 - 14. Let f(t) be the second derivative of z(t). What is f(3)?
-5
Let k(h) = 5*h + 4*h + 6 - 3*h - 4*h. Give k(-5).
-4
Let m be 29/2 + (-8)/(-16). Let r = -14 + m. Let a(y) be the third derivative of y**5/15 + y**4/24 + y**2. Calculate a(r).
5
Let g(k) = 9*k + 8. Let n(u) = -u - 1. Let m(d) = -3*g(d) - 24*n(d). Calculate m(8).
-24
Let l(q) = -11*q**3 - 19*q**2 - 22*q - 28. Let b(d) = 7*d**3 + 13*d**2 + 15*d + 19. Let s(m) = -8*b(m) - 5*l(m). Let a be 25/(-3) - (-7)/21. Give s(a).
4
Suppose z - 20 = 3*j, -4*z - 1 - 10 = j. Let a(g) = -2*g**2 - 8*g. Calculate a(j).
-42
Let s be (-12)/((16/10)/(-4)). Suppose -15*q = -10*q + s. Let h(z) = z**3 + 5*z**2 - 6*z - 1. Calculate h(q).
-1
Let p(b) be the first derivative of b**2/2 + 4*b - 21. Calculate p(-9).
-5
Let k(o) = -314 - o + 2*o + 309. Let x = -4 + 7. What is k(x)?
-2
Let n(q) = q**3 + 7*q**2 + 8*q + 5. Suppose -186 = 14*s + 17*s. Determine n(s).
-7
Let y be (6/(-9))/((-2)/3). Suppose -d = -y, 2*p + 2*p - 17 = 3*d. Suppose 0 = t + 2*m - 2, p*m + 4 = 2*t - 0. Let q(n) = 5*n - 3. Give q(t).
7
Let b(d) = -2*d**3 - 4*d - 1. Let z(n) = 5*n**3 - n**2 + 11*n + 3. Let u(i) = -8*b(i) - 3*z(i). Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
v?
20/91
Four letters picked without replacement from llylyybrlbjle. Give prob of picking 1 e, 1 l, 1 j, and 1 y.
3/143
Two letters picked without replacement from {i: 4, g: 4, f: 4, l: 8}. What is prob of picking 2 l?
14/95
Four letters picked without replacement from btttwiusbwutt. What is prob of picking 1 b, 2 t, and 1 i?
4/143
Three letters picked without replacement from {t: 4, y: 6}. Give prob of picking 3 t.
1/30
Two letters picked without replacement from {r: 3, n: 3}. What is prob of picking 2 r?
1/5
Calculate prob of picking 1 x, 1 l, and 2 k when four letters picked without replacement from xllxxxlxlkxkllllxxl.
6/323
Two letters picked without replacement from {a: 1, w: 1, x: 1, f: 6, p: 1, r: 3}. Give prob of picking 2 f.
5/26
Three letters picked without replacement from unkkkounookkkykuu. What is prob of picking 2 u and 1 k?
21/340
Two letters picked without replacement from {o: 1, e: 3, m: 2, y: 1}. Give prob of picking 1 y and 1 e.
1/7
Calculate prob of picking 1 f and 2 y when three letters picked without replacement from yyfyyfyyyyy.
24/55
Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 1, k: 1, r: 2}.
1/4
Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {y: 2, a: 3, b: 3, l: 3, d: 1, j: 1}.
3/26
Three letters picked without replacement from paakappkakpapppk. What is prob of picking 2 k and 1 p?
3/40
Two letters picked without replacement from tottcqovccvcccccvr. What is prob of picking 1 v and 1 o?
2/51
What is prob of picking 4 y when four letters picked without replacement from {y: 6, q: 2}?
3/14
Calculate prob of picking 3 x when three letters picked without replacement from {m: 1, n: 3, f: 2, a: 4, z: 2, x: 6}.
5/204
What is prob of picking 1 e and 1 h when two letters picked without replacement from eekhpkhkkpkpkkkhpkk?
2/57
Three letters picked without replacement from ddhhjud. Give prob of picking 1 j and 2 h.
1/35
Two letters picked without replacement from {a: 1, v: 11}. Give prob of picking 2 a.
0
Two letters picked without replacement from looooooolllll. What is prob of picking 2 l?
5/26
What is prob of picking 1 h and 2 b when three letters picked without replacement from hbwwbbbbhwwhwhw?
8/91
Three letters picked without replacement from {v: 13, u: 3}. Give prob of picking 3 v.
143/280
What is prob of picking 1 c and 2 y when three letters picked without replacement from ccccccccccycc?
0
What is prob of picking 3 y and 1 k when four letters picked without replacement from {k: 2, y: 4, b: 4}?
4/105
Four letters picked without replacement from bbbhhdhd. Give prob of picking 3 b and 1 d.
1/35
Calculate prob of picking 1 c, 1 l, and 2 p when four letters picked without replacement from ilddllcipdplll.
6/1001
Two letters picked without replacement from iiiiiiiii. Give prob of picking 2 i.
1
Two letters picked without replacement from {v: 5, o: 2, e: 3}. What is prob of picking 1 e and 1 o?
2/15
Four letters picked without replacement from yylbylylkllp. Give prob of picking 1 p, 2 y, and 1 l.
2/33
Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {a: 3, j: 4}.
4/7
Three letters picked without replacement from sexgxsxiietxgst. What is prob of picking 1 x and 2 s?
12/455
Four letters picked without replacement from {h: 1, y: 5, w: 3, x: 2, d: 1, r: 1}. What is prob of picking 1 x, 1 r, and 2 y?
4/143
Four letters picked without replacement from heeeeeeheeeheee. What is prob of picking 3 h and 1 e?
4/455
Three letters picked without replacement from {n: 7, l: 12}. Give prob of picking 2 n and 1 l.
84/323
What is prob of picking 1 f and 1 e when two letters picked without replacement from xqwwfeh?
1/21
Three letters picked without replacement from {j: 4, c: 2, k: 7}. What is prob of picking 2 j and 1 k?
21/143
Calculate prob of picking 2 l when two letters picked without replacement from {s: 3, d: 4, g: 2, l: 2}.
1/55
What is prob of picking 1 k and 2 h when three letters picked without replacement from {h: 8, k: 3}?
28/55
What is prob of picking 1 d, 2 q, and 1 w when four letters picked without replacement from ttqjwtdttq?
1/210
Calculate prob of picking 2 w when two letters picked without replacement from cwcccccccwwccccc.
1/40
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from uugg.
2/3
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eiii.
1/2
Four letters picked without replacement from {w: 1, f: 4, x: 2, u: 3}. What is prob of picking 1 x, 2 u, and 1 f?
4/35
Two letters picked without replacement from {i: 5, q: 2, o: 2, c: 9}. What is prob of picking 1 c and 1 o?
2/17
Two letters picked without replacement from ppuuuupqpuuupupuqu. Give prob of picking 2 p.
5/51
Two letters picked without replacement from {y: 7, g: 7, h: 4}. Give prob of picking 2 y.
7/51
Calculate prob of picking 2 v and 2 i when four letters picked without replacement from ivvivvkvi.
5/21
What is prob of picking 1 u and 1 q when two letters picked without replacement from cuuhuccqcccuhuhccccc?
1/38
Two letters picked without replacement from {n: 2, j: 9}. What is prob of picking 2 j?
36/55
Four letters picked without replacement from beebwtkbetsb. Give prob of picking 1 k, 1 s, 1 e, and 1 t.
2/165
Two letters picked without replacement from {s: 1, c: 2, b: 2, x: 1, l: 1}. What is prob of picking 1 x and 1 c?
2/21
Four letters picked without replacement from {i: 5, z: 8}. Give prob of picking 3 z and 1 i.
56/143
Two letters picked without replacement from iizzzzzzzzzzz. Give prob of picking 2 z.
55/78
Three letters picked without replacement from {y: 5, g: 13}. What is prob of picking 3 g?
143/408
Calculate prob of picking 2 k and 1 u when three letters picked without replacement from ttakakkatttuatk.
6/455
Two letters picked without replacement from xxxfxiixfifxxfi. What is prob of picking 2 i?
2/35
Four letters picked without replacement from pzpp. What is prob of picking 4 z?
0
Four letters picked without replacement from ggggggggugu. What is prob of picking 4 g?
21/55
What is prob of picking 3 u when three letters picked without replacement from hbububeeunuhvhehneee?
1/285
Four letters picked without replacement from iiiiififiiif. What is prob of picking 2 i and 2 f?
12/55
Three letters picked without replacement from {a: 5, z: 14}. Give prob of picking 3 z.
364/969
Three letters picked without replacement from {e: 1, y: 2, t: 1, m: 1, v: 1, z: 2}. What is prob of picking 2 z and 1 m?
1/56
Four letters picked without replacement from {a: 1, h: 1, b: 2, i: 1, o: 1, v: 2}. Give prob of picking 1 h, 1 o, 1 i, and 1 v.
1/35
Four letters picked without replacement from {g: 7, m: 3}. Give prob of picking 2 m and 2 g.
3/10
What is prob of picking 2 u when two letters picked without replacement from hhhhhhhhuhhhhuhuuuu?
5/57
Three letters picked without replacement from pompoommmk. What is prob of picking 1 k and 2 m?
1/20
Two letters picked without replacement from qyqvyvqvyyvyyqq. What is prob of picking 1 q and 1 v?
4/21
Calculate prob of picking 3 c when three letters picked without replacement from {c: 7, y: 5, n: 1}.
35/286
Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {z: 1, a: 1, t: 2, x: 1}.
1/10
What is prob of picking 2 f when two letters picked without replacement from ffffbbffbbbb?
5/22
Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, z: 3}.
1/5
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {z: 1, j: 1, q: 1, d: 3, i: 2, y: 5}.
5/78
Three letters picked without replacement from {f: 3, d: 2, r: 4}. Give prob of picking 2 r and 1 f.
3/14
Calculate prob of picking 2 l when two letters picked without replacement from clcbblztcccctcctcsc.
1/171
Calculate prob of picking 2 o when two letters picked without replacement from {c: 3, h: 1, s: 2, x: 1, o: 10}.
45/136
What is prob of picking 2 z when two letters picked without replacement from {s: 9, e: 4, z: 4, q: 3}?
3/95
Four letters picked without replacement from lpghpppcp. What is prob of picking 1 l and 3 p?
5/63
Calculate prob of picking 1 i and 1 a when two letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
o*z + 36 = -14 for z.
-2
Let y(a) = -a**2 + 25*a + 36. Let i be y(26). Suppose 3*q + 3*u = 9, 1 - i = -2*q - 5*u. Solve -x + 6 = q*x for x.
2
Let s = 5097 + -5097. Solve 0*g + 24*g + 144 = s for g.
-6
Let i(g) = -g**3 - 15*g**2 - 2*g - 18. Let d be i(-15). Suppose -4*w + 3*w + 4*t - 11 = 0, 0 = -3*t + d. Solve 0*s - w*s - 15 = 0 for s.
-3
Let g(q) = 64*q - 51. Let o be g(-5). Let w = 403 + o. Solve -35*a = -w*a - 9 for a.
3
Suppose o - 5 = -3*y, -9*o + 2*y - 22 = -12*o. Suppose -15 - 1 = -o*z. Solve -w = 5 - z for w.
-3
Let d(o) = 6*o - 25. Let w be d(5). Suppose -3*q = -2*h - 3, -5*h = q - w*q - 3. Solve -s = q*s for s.
0
Suppose -284*i + 1764 = -263*i. Solve 0 = -t + 29*t + i for t.
-3
Suppose 2*y + 25 = 7*y. Let t(o) = -174*o - 7 + 89*o - o**2 + 92*o. Let k be t(y). Solve -1 = -k*q + 4*q for q.
-1
Let r = -2851 + 2974. Solve r*l - 4 = 121*l for l.
2
Let a(i) = -2*i + 33. Let q be a(15). Suppose 4*m + 2*t = 90, q*t - 35 = -m - m. Suppose -p = 4*p - m. Solve -p*x + 3*x = -10 for x.
5
Let s(k) = -2*k + 29. Let x be s(12). Suppose -11 - 24 = -x*q. Solve q*n = 5*n for n.
0
Suppose r - 5*s - 102 = 0, -s = 5*r - 4*s - 400. Let x = r + -74. Solve -2 = -x*f + 7 for f.
3
Let f(x) = -7*x - 8. Let p be f(-4). Suppose 10*l - 5*l = p. Solve 14*g - 10*g = l for g.
1
Let x(p) = -2*p**2 + 14*p + 18. Let k be x(9). Let f be -1 - ((3 - 16) + k/(-6)). Solve 5*u + f = 2*u for u.
-3
Suppose -15*k + 20*k = -3*i + 99, 3*k - 65 = -i. Solve 0 = 67*v - 55*v + k for v.
-2
Suppose -5*q + 2*y + 397 = -y, -q - y + 81 = 0. Suppose -2*k = 4*o - 40, -4*k = -4*o + q - 16. Solve j - 13 = -o for j.
1
Let t(d) = 2*d + 9. Suppose 3*f = -q, -f - f = -3*q - 11. Let r be t(q). Solve r*s + 6 = -0*s for s.
-2
Let c be 20/(-80) + (-21)/(-4). Suppose -19 = -x + 3*p, p - c + 6 = -x. Solve 6 - 10 = x*l for l.
-1
Suppose -10 = -76*p + 78*p. Let g be 1/p - (-12)/(420/217). Solve -4 = -g*d + 14 for d.
3
Suppose 73 = 7*t - 8*t. Let s be (t - -72)*(-1)/((-2)/(-8)). Solve 3 = -s*m + 11 for m.
2
Suppose 3*q + 36*x - 1 = 37*x, 0 = -q + 4*x - 18. Suppose k + q*d = 8, 5*k + 6*d - 8 = 4*d. Solve k = -2*c - 4 - 6 for c.
-5
Let k be (-4)/16*-8 + 9. Solve 7*l - 4 = -k for l.
-1
Suppose -56 = -6*i - 2*i. Suppose -10 = i*b - 9*b. Suppose 10*d - 5*d = b. Solve 2*g - g = -d for g.
-1
Let i(m) = -4*m**2 - 390*m - 1368. Let g be i(-93). Solve 92*b - 126*b + g = 0 for b.
9
Suppose -4*z - 173 - 139 = 3*f, 4*f + 5*z = -416. Let y = 108 + f. Solve 0*t = -y*t + 12 for t.
3
Let a(b) be the second derivative of 3*b**3/2 - 3*b**2/2 - 180*b. Let k be a(1). Solve k*t - 4 = 10*t for t.
-1
Let j(t) = -t**3 - 18*t**2 + t + 22. Suppose i - 4*f = -38, 3*f - 77 = 5*i + 28. Let l be j(i). Solve -5*a - l = -9 for a.
1
Let u(d) be the second derivative of -d**4/6 - d**3/6 + 9*d**2/2 + 9*d. Let f(k) be the first derivative of u(k). Let p be f(-1). Solve -2*i + 3*i = -p for i.
-3
Let q be 6*(-1)/4*40/(-6). Let v = q - 8. Let a = 1 + v. Solve a*r + 0 = -3 for r.
-1
Suppose 8*x - 12 = 4*x + 4*h, -3 = 2*x + h. Solve 0*w - w = -x*w for w.
0
Let g(w) = -11*w + 103. Let j = 108 - 99. Let h be g(j). Solve h*s + 9 = 5 for s.
-1
Let n(q) = -4*q**3 - q. Let x be n(-1). Let v be 3 + 5/10 + 6/(-4). Solve -v*b + x*b - 12 = 0 for b.
4
Suppose -f + 15 = a, 2*f - f - 4 = 0. Solve -m = a*m + 48 for m.
-4
Suppose 5*n - 20 = -5*f, 0 = -2*f + 5*f + 2*n - 10. Let k(u) = 3*u - 27 + u**f - 9*u + 40 + 0*u. Let x be k(4). Solve -4*j + 3 = -x for j.
2
Let r be 4/24*-3*-8. Let s(f) = f**3 - 6*f**2 + 10*f - 8. Let m be s(r). Suppose m = -4*d - 3*v + 23, 7*d - 30 = 2*d - 5*v. Solve 4*i - 5*i + d = 0 for i.
5
Suppose a + 28 + 10 = -w, 2*a = -4*w - 142. Let d = w - -43. Solve -4 = d*i - 24 for i.
2
Let i(y) = -y**2 + 7*y - 6. Let w be i(6). Suppose -1 = -5*d + 19, -3*d = 5*z - 32. Suppose -5*j + 15 = 0, -4*g + 22 + 10 = z*j. Solve 5*s + 0*s + g = w for s.
-1
Suppose 6*q - 2*q - 60 = 0. Suppose 0*z = -3*z + q. Solve -2*v = -z*v - 9 for v.
-3
Suppose -4*l = 3*v - 47, v + 6 = 3*l - 13. Solve 0 = j + j - l for j.
4
Let h(p) = -p**2 + 2*p + 19. Let c be h(5). Let k be (125/(-10) - c)*-2. Suppose 0 = -36*z + k*z. Solve z = -2*x + x for x.
0
Let b(u) = -u**2 - 16*u + 18. Let z be b(-17). Suppose s + 5*l + z - 14 = 0, -2*s = -5*l - 11. Suppose -9*a = -s*a - 4. Solve -i - 25 = a*i for i.
-5
Let n(c) = 6*c**3 - 60*c**2 - 2*c + 24. Let j be n(10). Let w be (-16)/6 + 2/(-6). Let q = w - -7. Solve -j*l = -0 + q for l.
-1
Let w = -64 + 70. Let k be 180/(-8)*((-4)/w)/1. Let d be (k - 2) + -2 - (0 + -2). Solve d = 5*h + 28 for h.
-3
Suppose 0*b = -2*b + 106. Suppose -27 = -20*q + b. Solve -q*i - 40 = -24 for i.
-4
Suppose 130 = 10*g - 0*g. Suppose 4*u - 27 = -3*v - 4, 0 = -3*u + 2*v + g. Solve -6*a + u = -1 for a.
1
Let d = 29614 + -29584. Solve -15*s = d*s for s.
0
Let p = -1554 + 1579. Solve -20*o + p*o + 35 = 0 for o.
-7
Let a(g) = 11*g**2 - 1 - 47*g + 3*g**3 + 36*g - 5*g**3. Let d be a(6). Let j = d + 107. Solve -9*o + j*o - 25 = 0 for o.
-5
Let p = -47 + 53. Let k(w) = w**2 + 7*w + 6. Let i be k(p). Suppose -4*x + 8*x - i = 0. Solve 5*a = 4 + x for a.
5
Suppose n - 5*u + 224 = -2*n, 302 = -4*n + 5*u. Let l = n + 98. Solve 4*h = -4 + l for h.
4
Let d(t) = t**2 - 12*t - 19. Let n be d(13). Let o(r) = 2*r**2 + 10*r - 4. Let p be o(n). Suppose -k - p + 16 = 0. Solve -k*x = -3*x for x.
0
Suppose -335*u - 9620 = -345*u. Solve 8*n = -u + 970 for n.
1
Suppose 0 = -5*b + 225 - 235, 5*b - 2 = -3*i. Let q be ((-180)/(-63))/(2/7). Solve -2*l + q = -i*l for l.
-5
Suppose -29*b + 120 = -9*b. Suppose d + 2*v = b, 7*v = 2*d + 2*v - 3. Suppose 4*p - 2*p = 0. Solve p = -0*k - d*k for k.
0
Let y be (-8)/(-20) + (246/10 - 1). Let d be (-1 - 4)/(-5)*97. Suppose y = -95*t + d*t. Solve -t*l - 15 = -7*l for l.
-3
Suppose 0 = -u + 2*k - 5*k + 17, 0 = 2*k - 6. Let a(h) = 6*h**2 + h**3 - 5*h**2 + u*h - 8*h. Let s be a(-1). Solve 0 = m - s*m - 3 for m.
3
Let u(y) = 2*y**3 + 165*y**2 - 104*y - 1738. Let d be u(-83). Suppose -4*z + z - 12 = 0, -z - 58 = -3*n. Let h = 3 - -4. Solve -h = -d*x + n for x.
5
Suppose 4*t + 7*x - 55 = 2*x, -47 = -5*t + x. Solve t - 30 = -4*u for u.
5
Suppose -11*v + 279 = 59. Suppose -7 = c + 3*f, 4*f = -3*c + 7*c - v. Suppose 0 = -4*w - 5*r - 10 + 36, -4 = -2*w + c*r. Solve -w*u = u + 15 for u.
-3
Suppose m + 18 = -2*a + 1, 5*m + 37 = 2*a. Let k be m/3 - (-10 + 7). Let c = k + 3. Solve c*l - 3 - 6 = 0 for l.
3
Suppose -12*j = -3*j + 3*j. Let k be 7 + j + (1 - 5). Solve 0 = 5*i + 12 + k for i.
-3
Suppose -3*k + 2*i = -191, 4*k + 2*i - 77 = 173. Solve k = o + 64 for o.
-1
Let g be ((-468)/(-30))/(18/60). Solve 36*v - g*v = 16 for v.
-1
Let v = -7642 - -7646. Solve -43*z + 44*z - v = 0 for z.
4
Suppose -214*g + 454*g + 586*g = -851*g. Let c be 1*4 + (-3 - -3). Let r be 0 - 0/(-2) - 0. Solve r = -c*w - g*w for w.
0
Let b = 3047 - 3028. Solve -b*n + 31 = -45 for n.
4
Let f be (84/(-16))/((-45)/120). Let k(g) = g**2 - 16*g + 35. Let c be k(f). Solve -6*r - 3 = -c*r for r.
3
Let j(v) be the third derivative of 0 + 2*v**2 - 5/6*v**3 + 0*v - 1/24*v**4. Let n be j(-9). Solve 3*i + n = 5*i for i.
2
Let q be 29 + (-11 + 3 - -3). Suppose 2*f = -q + 28. Solve -9 = -f*u + 1 for u.
5
Suppose -s + 24*j = 22*j - 6, -2*s = -j - 30. Solve -s*t = -25 - 65 for t.
5
Let d(u) = -3*u + 29. Let n = -129 - -137. Let b be d(n). Solve 2*z = 1 + b for z.
3
Let r be 2/(-3) + 8/3. Let n be (-16)/(-14) + 42/49. Suppose h = -n, -u + 4*h + 4 = -8. Solve u*w + 14 = -r for w.
-4
Suppose 8*y = -714 - 3054. Let m = -460 - y. Suppose 0*j + 6 = 2*j. Solve -4*c + j = m for c.
-2
Suppose -15*r - 18 = -24*r. Suppose -r*y - 6 = 2*z, 4*y - 9 = z + 7*y. Solve z = -7*l + 2*l - 15 for l.
-3
Let b(v) = -2*v**3 + 3*v**2 - 8*v + 2. Let l be b(3). Let n = l - -44. Let m = n - -5. Solve m = 5*w + 1 + 19 for w.
-4
Let y be -236 + 3/(24/(-32)). Let r be y/(-150)*5/4. Solve 2*m = -r + 6 for m.
2
Let u = -199 + 204. Suppose u*m + 4*i - 57 = 0, -m - 2*i - i + 7 = 0. Solve -1 = -4*q - m for q.
-3
Let d(j) = -j**2 - 39*j + 4554. Let l be d(50). Solve -1066*m + 1053*m = l for m.
-8
Suppose 4 = m - 8*c + 9*c, 5*c = 0. Let p = 46 - 12. Suppose 0 = -5*z - 4*o + p - 7, -3*o + 24 = 5*z. Solve z*q - m = -q for q.
1
Suppose -8*k - 4*k - 5808 = 0. Let l = k - -526. Solve 0 = l*n - 43*n - 4 for n.
-4
Let a(c) = c**2 - 4*c + 13. Let f
|
{
"pile_set_name": "DM Mathematics"
}
|
/h)**(-5) assuming h is positive.
h**(585/2)
Simplify (((t*t*(t/(t*t**(-2/11))*t)/t)/t**(-1))/(t/((t/((t*t**(-1))/t*t))/t)*t)**20)**40 assuming t is positive.
t**(-16200/11)
Simplify (w**(-1/3)/w*w**(21/2))/(w/w**(-2/21))**(9/11) assuming w is positive.
w**(3821/462)
Simplify ((n**(-1/4)/(n/n**(1/4)))**(-33))**(1/10) assuming n is positive.
n**(33/10)
Simplify (o**(7/3)/(o*o**(-22)*o*o))**(-7) assuming o is positive.
o**(-448/3)
Simplify ((((o/(o*o**(-1/4)*o*o)*o)/o*o)/o*o)**24*o**(-2/5)/o*o/((o**(-2/21)*o)/o))**(6/25) assuming o is positive.
o**(-3844/875)
Simplify (d**19*d*d/((d/d**(-6/13))/d))/((d*(d*d/d**(7/2)*d*d)/d)/d**(-7/3)) assuming d is positive.
d**(1381/78)
Simplify ((a**(-3/8))**(-5/8))**(-34) assuming a is positive.
a**(-255/32)
Simplify (l**(3/5)*l**19)/(l**(1/3)/l**1) assuming l is positive.
l**(304/15)
Simplify (c*c/(c*c**1))**(22/9)*(c*c*c**(-1/4))**(-2/149) assuming c is positive.
c**(-7/298)
Simplify ((y**(3/5))**(-4))**46 assuming y is positive.
y**(-552/5)
Simplify (((((n**(1/5)/n)/n*n)/n)/n)**(7/13))**(-37) assuming n is positive.
n**(3626/65)
Simplify (l**(6/17))**45/(l**(16/5)/l**(-23)) assuming l is positive.
l**(-877/85)
Simplify ((i/i**(-1/27))/(i*i/i**(-1/17)*i*i*i))/(i**14)**(2/13) assuming i is positive.
i**(-36850/5967)
Simplify i**(-2/19)/i*i**2*i*(i*i*i**6)/(i*i/i**(2/5)) assuming i is positive.
i**(788/95)
Simplify ((r*r**(1/3))**(11/5)/(r**(-2/5)/r)**7)**(2/7) assuming r is positive.
r**(382/105)
Simplify (n**(-1/6))**(-2/23)/(n**(-11)/n*n**3) assuming n is positive.
n**(622/69)
Simplify ((h**8*h)/(h/h**(-27)))/(h/((h**3/h)/h))**9 assuming h is positive.
h**(-19)
Simplify ((d*d**16*d**26)**(-29))**(-24) assuming d is positive.
d**29928
Simplify (p/(((p/p**(-4/11)*p)/p)/p*p))**(1/41)/(p**(-3/23)/p**(1/5)) assuming p is positive.
p**(16678/51865)
Simplify s**(-6/11)/((s*s**(1/7))/s*s)*(s**(-4/3))**(-50) assuming s is positive.
s**(15010/231)
Simplify ((h*h**(-1/3)*h)**48*h/h**(-8)*h/(h**(-6)*h))**(-45) assuming h is positive.
h**(-4275)
Simplify ((o/(o*o/(o*(o*o**(-3))/o)))/o)/(o*(o**(-2)*o*o)/o)*o**(-32)*(o*o*o**(-8/7))/o assuming o is positive.
o**(-253/7)
Simplify (f*(f/f**(2/11))/f)**(-20)*f**(1/12)/f**(11/4) assuming f is positive.
f**(-628/33)
Simplify ((k/((k/k**(-2/3))/k))/(k**(-11)*k))/(k*k**(-2/13)*k**(1/5)/k*k) assuming k is positive.
k**(1811/195)
Simplify (k/k**9*k/(k/(k/((k/(k**(6/7)/k))/k)*k*k)*k)*k*k)/(k**(-8)/k*k*k)**40 assuming k is positive.
k**(1931/7)
Simplify (((q**3)**(1/38))**(8/13))**4 assuming q is positive.
q**(48/247)
Simplify ((h**(-1))**(1/14)/(((h*h**(-7))/h)/h**1))**(2/73) assuming h is positive.
h**(111/511)
Simplify (d/(d**(-1/18)*d))/(d/d**(-2))*d/d**(2/17)*d**(-15)/d assuming d is positive.
d**(-5527/306)
Simplify (i/(i*i*i/(i/(i*i**(-2/11)*i)))*i**(1/3)*i*i*i*i**(3/2)/i*i/i**(-4))**10 assuming i is positive.
i**(1985/33)
Simplify (f**8/f**(-2/9))/((f*f*f/(f/f**(-5)))/(f*f*f*(f**(3/11)*f)/f*f*f)) assuming f is positive.
f**(1633/99)
Simplify (x/((x**(4/5)*x)/x))**(-9/5)/(x**(-1/2)*x**(2/17)/x) assuming x is positive.
x**(869/850)
Simplify (h/(h*h*(h/(h**11*h))/h*h*h*h))**(-3/2)/(h*h/((h/h**24)/h)*h)**24 assuming h is positive.
h**(-660)
Simplify (q**(3/4))**(1/18)*(q/q**(-19))/(q/(q/((q/(q*q**(-6/11))*q)/q*q))) assuming q is positive.
q**(4883/264)
Simplify d/((d*(d/(d/((d/(d**(2/37)*d))/d))*d)/d)/d)*d**(-6)*d**(-17)/(d/((d/d**(-5/7))/d)) assuming d is positive.
d**(-5499/259)
Simplify ((r/(r/(r*(r/(r*(r/r**(1/2))/r*r*r*r*r))/r)))**(-30)*r**(2/5)/r*r**8)**(-5/3) assuming r is positive.
r**(-562/3)
Simplify ((u**6/((u*u**(-1/3)/u)/u))**(-1/4))**(-19) assuming u is positive.
u**(209/6)
Simplify ((z**(-20)*z)/(z/z**(-17)))**(-25) assuming z is positive.
z**925
Simplify ((x/x**(-2/19))/(x/(x**(-8/9)*x)))/(x**(-3/14)*x*x**(-17)*x) assuming x is positive.
x**(36941/2394)
Simplify (r*r**9*r)/((r*r*r**17)/r)*r*(r/r**(2/3))/r*(r*r**(-14))/r*r assuming r is positive.
r**(-59/3)
Simplify p/(p*p**(-16))*p**15*p**(-3)*p**(-1/19) assuming p is positive.
p**(531/19)
Simplify (((v/(v**(-5)*v*v))/(v*v*v**(-2)))**(-8))**6 assuming v is positive.
v**(-192)
Simplify j/j**(-13)*j*j**(-1/3)/j*j**(-1/4)/(j/j**(-3/2)) assuming j is positive.
j**(131/12)
Simplify (h/h**(-20))/h**26*((h*((h*h*h**14*h*h)/h)/h)/h*h)**(-6/31) assuming h is positive.
h**(-257/31)
Simplify ((l*l**(-3/4))**34*l/(l*l/((l*l**10)/l)*l)*l**(-1/4)*l)**38 assuming l is positive.
l**(1311/2)
Simplify (o/((o*o/o**(7/3))/o))**(-1/8)*(o**(-2/7))**12 assuming o is positive.
o**(-625/168)
Simplify (a/(a*a**(-2/27))*a)**(-23)/(a*a*a**21*a**(5/12)) assuming a is positive.
a**(-5197/108)
Simplify (r*r**(2/31))**(-2/9)/(r*r*r**34*r*r*r**(1/11)) assuming r is positive.
r**(-39209/1023)
Simplify (s*s**(-4)*s)/s**(-5)*(s*s*s**(1/3))**(-13) assuming s is positive.
s**(-82/3)
Simplify (w**(-3/5)/w**(13/7))**(-27) assuming w is positive.
w**(2322/35)
Simplify ((h**2/(h/((h/(h**(-4)*h))/h)*h*h*h*h*h))**15)**(-1/51) assuming h is positive.
h**(5/17)
Simplify (y*y*y*y**(-14/9)*y*y**(1/29))/(y**4)**(-31/4) assuming y is positive.
y**(8738/261)
Simplify ((a*a**(-1/2))**(-1/59)/((a/(a**(-2/11)/a)*a)/a**(-1/2)))**(-26/7) assuming a is positive.
a**(62270/4543)
Simplify (c**(-14)/(c*c/c**(8/11)*c))**6 assuming c is positive.
c**(-1074/11)
Simplify (y**(-4/23)/((y*y**(-12))/y))**(-34/5) assuming y is positive.
y**(-9248/115)
Simplify ((v*v*v**(-1/3)*v)**(-2/27)/(v/v**(-1/3))**3)**(1/6) assuming v is positive.
v**(-170/243)
Simplify (u**12/(u*u**10))**(-2/67) assuming u is positive.
u**(-2/67)
Simplify ((k**(4/7))**(-19))**(22/7) assuming k is positive.
k**(-1672/49)
Simplify (((c/c**(1/4))/(c/((c**(-2)/c)/c)))/(c**0)**39)**(-24) assuming c is positive.
c**102
Simplify ((t**(-2/7)*t)**(2/31)*(t**5/t)/(t**6*t))**(3/22) assuming t is positive.
t**(-1923/4774)
Simplify (((b/b**5)/b*b**(1/7)*b)/(b*b**(-2/5))**(-3/2))**(-11/6) assuming b is positive.
b**(759/140)
Simplify x**3/(x**(1/4)/x)*(((x/(x/(x/x**(3/2)*x)*x))/x)/x*x)/x**(2/33) assuming x is positive.
x**(289/132)
Simplify (s**(1/13)*s**(-4/5))/((s/(s**(-1/9)/s))/(s**(-11)/s*s*s*s)) assuming s is positive.
s**(-6923/585)
Simplify a**9/(a**(-1/2)*a)*((a/a**(11/6))/a)/a**(-27) assuming a is positive.
a**(101/3)
Simplify (n/(n**(-1)/n))**(-1/5)*n**(7/5)*n**10 assuming n is positive.
n**(54/5)
Simplify ((a/(a/((((a/a**23)/a)/a)/a)))/a**(-5/8))**(2/3) assuming a is positive.
a**(-65/4)
Simplify ((z/(z**(-16)*z))/z*z**13)/((z/z**(-2/7))/((z*(z*z/z**(1/6)*z)/z)/z)) assuming z is positive.
z**(1199/42)
Simplify (((p*p**13*p)/p*p)/(p*p**9))/(p*p/(p*p*p/(p*p**(-4/3)/p)*p*p)*p/(p/(p/p**(-9/4)))) assuming p is positive.
p**(73/12)
Simplify (j**13*j**(-2/55))/(j**(-19)*j**(4/17)) assuming j is positive.
j**(29666/935)
Simplify a**7*a*a/(a*a*a**(-13)/a)*(a*a**(4/5))**(-42) assuming a is positive.
a**(-273/5)
Simplify ((i**(-3/2))**(-35/6)*((i/i**(-6))/i)/(i**0*i))**(-1/6) assuming i is positive.
i**(-55/24)
Simplify (p**(4/3)*p**(-3)*p**(1/3)/((p/p**(4/7))/p))**4 assuming p is positive.
p**(-64/21)
Simplify (w/(w*w**14))/w**(1/7)*((w*w*w**(-3/7)*w)/w)**(49/2) assuming w is positive.
w**(341/14)
Simplify (g*g**(2/9)*g)/(g/(g/g**11))*g**(2/7)/g*g/(g**(8/3)*g) assuming g is positive.
g**(-766/63)
Simplify (b/(b/((b*(b*(b*b/(b*b/b**(6/11))*b)/b)/b)/b))*b*b**(-1/7)*b)/(b**(-2)*b**(-23/3)) assuming b is positive.
b**(2788/231)
Simplify b**9*(b**(3/5)/b)/b*(b*b**26)/b*b**(3/16)/b*b assuming b is positive.
b**(2703/80)
Simplify (s**(-6))**(2/25)/(((s/((s*s**(1/3))/s))/s)/(s/((s/s**(6/7)*s)/s)*s)) assuming s is positive.
s**(898/525)
Simplify (((v**2)**(-30))**29)**(-7/6) assuming v is positive.
v**2030
Simplify (d**17*d**(-13))**(14/5) assuming d is positive.
d**(56/5)
Simplify (((j**10/j)/j)/j*j**(-34)/j)/(j/(j*j/(j**(-31)/j*j))*j*j**(5/2)) assuming j is positive.
sqrt(j)
Simplify ((n/(n*n**(-2)/n)*n)**(1/5))**(3/13) assuming n is positive.
n**(12/65)
Simplify (d**1)**40/(d**(-27)*d/(d/(d*(d/(d/d**25)*d*d)/d))) assuming d is positive.
d**40
Simplify ((w**(2/9))**(-34)*w**(-2/5)*w**7)**(-15) assuming w is positive.
w**(43/3)
Simplify (h/(h/(h*h**(1/3))*h*h)*h**(-19))/(h**(6/13)*h**(-1)) assuming h is positive.
h**(-746/39)
Simplify (f*f**2)**(-2/53)*(((f/f**(-3/10))/f)/f)/(f/(f*(f*f/(f**5*f))/f)) assuming f is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 264 minutes after 3:38 PM?
8:02 PM
What is 90 minutes after 5:40 PM?
7:10 PM
What is 398 minutes after 10:48 PM?
5:26 AM
What is 71 minutes after 12:01 PM?
1:12 PM
How many minutes are there between 7:25 PM and 1:53 AM?
388
How many minutes are there between 7:53 AM and 4:59 PM?
546
How many minutes are there between 1:53 AM and 8:05 AM?
372
How many minutes are there between 12:16 AM and 5:34 AM?
318
How many minutes are there between 6:52 AM and 8:35 AM?
103
What is 33 minutes after 2:47 AM?
3:20 AM
How many minutes are there between 10:35 AM and 12:06 PM?
91
How many minutes are there between 12:21 AM and 1:58 AM?
97
What is 710 minutes before 7:39 AM?
7:49 PM
How many minutes are there between 1:31 PM and 1:17 AM?
706
What is 538 minutes before 9:14 PM?
12:16 PM
What is 2 minutes after 2:53 AM?
2:55 AM
How many minutes are there between 4:21 AM and 11:21 AM?
420
What is 472 minutes before 7:23 PM?
11:31 AM
How many minutes are there between 9:50 AM and 9:17 PM?
687
What is 669 minutes before 3:30 AM?
4:21 PM
What is 646 minutes before 10:20 AM?
11:34 PM
How many minutes are there between 7:01 AM and 7:53 AM?
52
How many minutes are there between 7:59 AM and 5:41 PM?
582
What is 474 minutes after 8:05 PM?
3:59 AM
What is 152 minutes after 8:46 PM?
11:18 PM
How many minutes are there between 4:15 PM and 6:37 PM?
142
How many minutes are there between 7:06 AM and 12:06 PM?
300
What is 697 minutes before 11:46 AM?
12:09 AM
How many minutes are there between 4:23 PM and 6:39 PM?
136
How many minutes are there between 5:36 PM and 6:12 PM?
36
What is 485 minutes after 12:50 AM?
8:55 AM
What is 430 minutes after 5:15 AM?
12:25 PM
How many minutes are there between 9:13 AM and 10:13 AM?
60
What is 238 minutes after 2:48 AM?
6:46 AM
How many minutes are there between 4:42 AM and 8:13 AM?
211
How many minutes are there between 11:31 PM and 6:57 AM?
446
What is 617 minutes before 5:32 AM?
7:15 PM
What is 708 minutes after 9:27 PM?
9:15 AM
How many minutes are there between 6:20 PM and 9:16 PM?
176
How many minutes are there between 1:04 PM and 5:38 PM?
274
How many minutes are there between 10:02 PM and 8:19 AM?
617
How many minutes are there between 8:18 AM and 9:12 AM?
54
How many minutes are there between 3:25 PM and 5:22 PM?
117
How many minutes are there between 12:56 PM and 5:47 PM?
291
What is 578 minutes before 11:26 PM?
1:48 PM
How many minutes are there between 5:27 AM and 3:09 PM?
582
How many minutes are there between 3:33 PM and 6:25 PM?
172
How many minutes are there between 1:25 AM and 1:05 PM?
700
How many minutes are there between 4:40 PM and 12:40 AM?
480
What is 582 minutes before 2:49 PM?
5:07 AM
How many minutes are there between 8:05 PM and 8:04 AM?
719
How many minutes are there between 10:59 AM and 3:23 PM?
264
What is 253 minutes before 11:19 AM?
7:06 AM
What is 293 minutes before 3:12 AM?
10:19 PM
What is 526 minutes after 4:28 AM?
1:14 PM
How many minutes are there between 10:13 PM and 11:16 PM?
63
What is 185 minutes after 5:47 PM?
8:52 PM
How many minutes are there between 8:21 AM and 2:35 PM?
374
How many minutes are there between 6:06 PM and 12:51 AM?
405
What is 302 minutes after 2:23 AM?
7:25 AM
What is 652 minutes after 8:56 AM?
7:48 PM
How many minutes are there between 1:54 AM and 2:57 AM?
63
How many minutes are there between 12:45 AM and 6:40 AM?
355
How many minutes are there between 11:13 PM and 4:41 AM?
328
How many minutes are there between 3:55 PM and 8:25 PM?
270
How many minutes are there between 11:17 PM and 11:16 AM?
719
How many minutes are there between 2:42 PM and 8:24 PM?
342
How many minutes are there between 8:15 PM and 10:43 PM?
148
What is 250 minutes after 9:59 PM?
2:09 AM
What is 19 minutes after 5:22 PM?
5:41 PM
How many minutes are there between 5:18 PM and 12:18 AM?
420
What is 414 minutes after 11:20 AM?
6:14 PM
What is 251 minutes before 11:24 AM?
7:13 AM
How many minutes are there between 10:31 PM and 4:47 AM?
376
What is 530 minutes before 11:55 PM?
3:05 PM
What is 432 minutes after 7:24 PM?
2:36 AM
What is 115 minutes before 1:20 AM?
11:25 PM
What is 703 minutes after 4:00 AM?
3:43 PM
How many minutes are there between 6:16 AM and 12:27 PM?
371
What is 439 minutes after 10:28 PM?
5:47 AM
What is 103 minutes before 12:05 PM?
10:22 AM
How many minutes are there between 2:40 AM and 6:49 AM?
249
What is 444 minutes after 2:10 PM?
9:34 PM
How many minutes are there between 4:08 PM and 12:35 AM?
507
What is 488 minutes after 10:08 AM?
6:16 PM
What is 553 minutes before 1:34 PM?
4:21 AM
How many minutes are there between 12:46 PM and 11:03 PM?
617
How many minutes are there between 1:40 PM and 4:31 PM?
171
How many minutes are there between 10:59 AM and 11:39 AM?
40
What is 197 minutes before 3:49 PM?
12:32 PM
What is 341 minutes before 9:55 AM?
4:14 AM
How many minutes are there between 11:46 AM and 2:18 PM?
152
What is 584 minutes after 1:36 PM?
11:20 PM
What is 139 minutes after 7:54 PM?
10:13 PM
What is 295 minutes after 7:34 PM?
12:29 AM
How many minutes are there between 5:13 PM and 6:06 PM?
53
What is 678 minutes before 10:52 AM?
11:34 PM
How many minutes are there between 9:36 PM and 7:41 AM?
605
What is 120 minutes after 2:55 AM?
4:55 AM
How many minutes are there between 5:29 PM and 8:53 PM?
204
How many minutes are there between 6:34 AM and 4:50 PM?
616
What is 490 minutes before 11:25 AM?
3:15 AM
How many minutes are there between 11:35 PM and 2:27 AM?
172
How many minutes are there between 5:56 AM and 8:02 AM?
126
What is 252 minutes after 3:28 AM?
7:40 AM
How many minutes are there between 9:32 AM and 12:33 PM?
181
How many minutes are there between 2:48 PM and 10:34 PM?
466
How many minutes are there between 6:02 PM and 9:29 PM?
207
What is 88 minutes before 8:33 PM?
7:05 PM
How many minutes are there between 12:40 PM and 4:44 PM?
244
How many minutes are there between 1:42 AM and 6:35 AM?
293
What is 535 minutes before 4:01 PM?
7:06 AM
What is 609 minutes after 2:00 AM?
12:09 PM
What is 501 minutes before 4:55 AM?
8:34 PM
What is 410 minutes before 12:28 AM?
5:38 PM
What is 428 minutes after 3:28 PM?
10:36 PM
How many minutes are there between 1:43 AM and 10:28 AM?
525
What is 104 minutes before 9:33 PM?
7:49 PM
What is 345 minutes before 9:55 AM?
4:10 AM
What is 474 minutes after 7:29 PM?
3:23 AM
What is 530 minutes before 12:27 PM?
3:37 AM
What is 596 minutes after 4:15 PM?
2:11 AM
How many minutes are there between 1:27 PM and 6:40 PM?
313
How many minutes are there between 6:23 AM and 7:30 AM?
67
What is 249 minutes after 7:49 AM?
11:58 AM
What is 97 minutes after 4:25 PM?
6:02 PM
How many minutes are there between 8:55 PM and 7:31 AM?
636
What is 128 minutes after 7:46 AM?
9:54 AM
How many minutes are there between 4:10 AM and 5:26 AM?
76
What is 507 minutes after 3:21 PM?
11:48 PM
How many minutes are there between 3:43 PM and 7:58 PM?
255
What is 14 minutes after 10:22 PM?
10:36 PM
What is 191 minutes before 6:33 PM?
3:22 PM
What is 181 minutes before 11:10 AM?
8:09 AM
How many minutes are there between 3:59 AM and 7:30 AM?
211
How many minutes are there between 4:52 AM and 2:01 PM?
549
What is 703 minutes after 3:15 PM?
2:58 AM
What is 39 minutes after 7:55 PM?
8:34 PM
What is 552 minutes after 2:22 AM?
11:34 AM
What is 538 minutes after 10:41 AM?
7:39 PM
How many minutes are there between 11:50 AM and 1:57 PM?
127
What is 96 minutes before 2:24 AM?
12:48 AM
What is 186 minutes before 3:33 PM?
12:27 PM
How many minutes are there between 1:57 PM and 12:06 AM?
609
How many minutes are there between 7:57 AM and 10:26 AM?
149
What is 145 minutes after 5:04 PM?
7:29 PM
What is 12 minutes before 4:10 AM?
3:58 AM
How many minutes are there between 4:44 AM and 2:49 PM?
605
What is 166 minutes after 4:50 PM?
7:36 PM
What is 543 minutes after 8:06 PM?
5:09 AM
What is 647 minutes before 10:32 AM?
11:45 PM
How many minutes are there between 10:22 PM and 7:46 AM?
564
How many minutes are there between 5:09 AM and 10:12 AM?
303
How many minutes are there between 5:50 PM and 12:31 AM?
401
What is 458 minutes after 8:25 AM?
4:03 PM
How many minutes are there between 9:46 PM and 7:22 AM?
576
How many minutes are there between 9:05 PM and 7:52 AM?
647
What is 27 minutes before
|
{
"pile_set_name": "DM Mathematics"
}
|
-63
Calculate 1986 divided by -9.
-662/3
Calculate -340 divided by 8.
-85/2
18296 divided by -4574
-4
Calculate -216 divided by 54.
-4
Calculate -61 divided by 61.
-1
Divide -675 by 135.
-5
-199 divided by -41
199/41
What is 68 divided by -17?
-4
What is 53 divided by -448?
-53/448
2 divided by -331
-2/331
What is 365 divided by -5?
-73
What is -7 divided by 644?
-1/92
Calculate -1 divided by -137.
1/137
What is -5 divided by 70?
-1/14
175 divided by 51
175/51
Calculate -198 divided by -2.
99
What is -385 divided by -77?
5
What is -5550 divided by -10?
555
Calculate -3357 divided by 3.
-1119
What is 9 divided by -30?
-3/10
Calculate -3718 divided by -143.
26
What is 54000 divided by 6?
9000
Divide -712 by -9.
712/9
Divide 10 by -43.
-10/43
What is 28 divided by -44?
-7/11
Divide 419 by 19.
419/19
-2 divided by 11
-2/11
What is 14460 divided by -12?
-1205
Divide 48 by -76.
-12/19
Calculate 2 divided by -15.
-2/15
9784 divided by -8
-1223
2 divided by 672
1/336
What is 29391 divided by -3?
-9797
Calculate -312 divided by 12.
-26
Calculate 1250 divided by -5.
-250
Calculate -64 divided by -50.
32/25
Calculate 79 divided by 5.
79/5
Divide -503 by -7.
503/7
Calculate -2 divided by 58.
-1/29
What is -1864 divided by -466?
4
Calculate 1 divided by 792.
1/792
What is 598 divided by 6?
299/3
Calculate 5 divided by -61.
-5/61
-2 divided by 430
-1/215
Calculate -20 divided by -4.
5
-111 divided by 37
-3
550 divided by 2
275
-35058 divided by 6
-5843
Calculate 558 divided by 3.
186
Calculate 45 divided by -19.
-45/19
252 divided by 3
84
Calculate -1848 divided by -33.
56
Calculate -673 divided by -4.
673/4
Calculate -194 divided by -2.
97
-4 divided by -340
1/85
39 divided by -5
-39/5
-94 divided by 3
-94/3
What is -289 divided by -6?
289/6
Calculate 6 divided by -4.
-3/2
1220 divided by 4
305
What is -999 divided by 9?
-111
What is 430 divided by 7?
430/7
Divide 2 by -141.
-2/141
Divide 2744 by -7.
-392
Calculate 159 divided by -1.
-159
-17 divided by -1
17
What is 4 divided by -66?
-2/33
Calculate 24696 divided by 12.
2058
What is 1817 divided by -5?
-1817/5
Calculate -41 divided by 1.
-41
Divide 0 by 1799.
0
Calculate -26 divided by 23.
-26/23
What is -39 divided by 13?
-3
70 divided by -6
-35/3
Calculate 0 divided by -44.
0
What is 702 divided by 117?
6
2 divided by 1764
1/882
-9224 divided by -2306
4
What is -3913 divided by -7?
559
What is -2 divided by 153?
-2/153
-572 divided by -52
11
-294 divided by -98
3
0 divided by 1419
0
-6118 divided by 874
-7
Calculate 139 divided by -4.
-139/4
14 divided by 7
2
Calculate 42970 divided by 8594.
5
Calculate 31023 divided by 4.
31023/4
16 divided by -6
-8/3
Calculate -1365 divided by 91.
-15
What is -364 divided by -26?
14
Divide 0 by 1401.
0
Divide 15 by 18.
5/6
5 divided by -2999
-5/2999
Calculate 3 divided by -35.
-3/35
Calculate 4848 divided by 4.
1212
Calculate -546 divided by -13.
42
Divide -288 by -72.
4
Calculate -735 divided by 35.
-21
Divide 20 by -2.
-10
Divide 3 by -352.
-3/352
Calculate -156 divided by 10.
-78/5
Divide 288 by 288.
1
Divide 162 by 3.
54
Calculate 2 divided by 5.
2/5
Divide -5 by 5837.
-5/5837
What is -3 divided by -273?
1/91
Calculate -780 divided by 6.
-130
Divide 686 by 4.
343/2
Calculate 132 divided by 1.
132
Divide -6908 by 4.
-1727
Calculate 0 divided by 25.
0
-2048 divided by -4
512
What is -30 divided by 4?
-15/2
Divide -1732 by -6.
866/3
Calculate 700 divided by 3.
700/3
Divide 0 by 29.
0
-96 divided by 24
-4
What is 1512 divided by 84?
18
What is 0 divided by -228?
0
Calculate 36 divided by 1.
36
What is 1 divided by 2505?
1/2505
Divide 69 by 159.
23/53
Divide -5 by 876.
-5/876
What is 588 divided by 2?
294
-510 divided by -30
17
-179060 divided by -5
35812
348 divided by 58
6
What is -9190 divided by -1838?
5
Calculate 5358 divided by -6.
-893
-73 divided by 6
-73/6
Calculate 4 divided by -5830.
-2/2915
Calculate -37 divided by -33.
37/33
What is 834 divided by 139?
6
Divide 45 by 5.
9
Divide 0 by -201.
0
368 divided by -92
-4
-234 divided by -2
117
Divide 5352 by -4.
-1338
Divide 5082 by -1.
-5082
What is -3385 divided by 1?
-3385
What is 2124 divided by 531?
4
210 divided by 35
6
Calculate -31 divided by 8.
-31/8
1533 divided by 3
511
Calculate -2500 divided by -500.
5
2 divided by 110
1/55
Calculate 4818 divided by -1606.
-3
-169 divided by -169
1
3 divided by -3
-1
Calculate 10332 divided by 3.
3444
Divide 0 by 2384.
0
0 divided by -23
0
What is 2 divided by -816?
-1/408
What is 10 divided by 86?
5/43
Calculate -4 divided by -36.
1/9
Divide -58 by 1.
-58
Calculate 42 divided by 6.
7
What is 812 divided by 1?
812
Divide 410 by 5.
82
Divide -4 by -1446.
2/723
Calculate -5 divided by -1252.
5/1252
What is -778 divided by -389?
2
What is -9 divided by -8?
9/8
Divide -133 by 88.
-133/88
What is 7250 divided by -5?
-1450
Calculate 291 divided by -3.
-97
What is -103 divided by 24?
-103/24
2 divided by -1023
-2/1023
What is -1115 divided by 1?
-1115
Divide -12942 by 2157.
-6
What is 4 divided by 2425?
4/2425
Divide 1 by 47.
1/47
76 divided by -2
-38
-33 divided by 6
-11/2
Calculate 63 divided by -2.
-63/2
240 divided by -5
-48
What is 270 divided by 54?
5
Calculate -2 divided by -98.
1/49
Divide -330 by -66.
5
What is 27 divided by -4?
-27/4
-2 divided by 31
-2/31
What is -8784 divided by -6?
1464
Divide -24 by -4.
6
What is 14924 divided by -182?
-82
Divide -25 by -5.
5
-2472 divided by 2
-1236
0 divided by 113
0
What is -2 divided by 136?
-1/68
What is 2628 divided by 18?
146
Divide -17 by 543.
-17/543
Divide 33 by -257.
-33/257
Divide 15 by -33.
-5/11
What is -552 divided by -3?
184
Calculate 4 divided by -2361.
-4/2361
Divide 176 by -11.
-16
Divide 157 by 2.
157/2
What is -38638 divided by 2?
-19319
Calculate -90315 divided by -5.
18063
Calculate 104 divided by -6.
-52/3
What is 11248 divided by 148?
76
What is 11920 divided by -2980?
-4
Divide 8 by -2.
-4
Calculate -1 divided by 22.
-1/22
Divide -3314 by -1657.
2
Divide -4020 by 5.
-804
Calculate -15 divided by 91.
-15/91
-7455 divided by 5
-1491
Calculate -3000 divided by -30.
100
39 divided by 13
3
1 divided by 251
1/251
Calculate -3230 divided by -17.
190
Divide -1424 by -16.
89
What is -44 divided by -5?
44/5
4 divided by 1092
1/273
Divide -782 by 782.
-1
What is -687 divided by 4?
-687/4
Divide 3836 by -5.
-3836/5
Calculate -7644 divided by 42.
-182
61 divided by 13
61/13
Divide -5 by -86.
5/86
-704 divided by -4
176
81 divided by 27
3
Divide -1350 by 75.
-18
What is 0 divided by 66?
0
What is -12 divided by 4?
-3
What is -4851 divided by 147?
-33
What is -3 divided by -17?
3/17
What is -2563 divided by -2563?
1
Divide 21 by 4.
21/4
-336 divided by 168
-2
What is 15138 divided by -3?
-5046
1625 divided by 2
1625/2
Divide 5 by 5.
1
Divide -62 by -5.
62/5
What is 18 divided by 60?
3/10
Calculate 73 divided by -5.
-73/5
Divide -6620 by 2.
-3310
Divide 3072 by 3.
1024
Calculate -136 divided by 8.
-17
What is -5 divided by -1116?
5/1116
What is 2448 divided by 6?
408
Calculate 9196 divided by 4598.
2
Divide 96 by -8.
-12
Divide 0 by -125.
0
Calculate 0 divided by 1142.
0
Divide 1510 by -302.
-5
21776 divided by -8
-2722
What is -4224 divided by 132?
-32
What is 2050 divided by -2?
-1025
-1 divided by -928
1/928
What is -321 divided by 3?
-107
What is 246 divided by 6?
41
Divide -13 by 8.
-13/8
23 divided by 4
23/4
What is -90 divided by -280?
9/28
What is 22 divided by -6?
-11/3
Divide 2784 by -464.
-6
486 divided by 2
243
5676 divided by -6
-946
492 divided by -1
-492
What is -112 divided by -11?
112/11
7353 divided by 3
2451
Divide 6 by 1036.
3/518
3 divided by -267
-1/89
-17388 divided by -644
27
What is -3743 divided by -6?
3743/6
Divide 7434 by 1239.
6
4 divided by 14
2/7
What is -660 divided by -6?
110
Calculate -1261 divided by -1.
1261
Calculate -2516 divided by -68.
37
Calculate -1900 divided by -10.
190
Divide 204 by 12.
17
Divide 86 by -43.
-2
Divide -588 by -12.
49
Divide 335 by -67.
-5
Divide -1 by -33.
1/33
What is 294 divided by 3?
98
What is 3 divided by 3782?
3/3782
Calculate 0 divided by 30.
0
Calculate 116 divided by 4.
29
What is 3 divided by 49?
3/49
What is 5 divided by 31?
5/31
70 divided by 244
35/122
What is 1224 divided by -1?
-1224
What is -152 divided by 3?
-152/3
Calculate 130 divide
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 - 1 - h + 3 - h**2. Let r be j(-2). Suppose r = -u - b + 1199997, -4*u - b + 2*b + 4800003 = 0. Round u to the nearest 100000.
1200000
Let r = 0.01 + -0.01000065. Round r to seven decimal places.
-0.0000007
Let v(r) = 13*r**2 + 4*r - 4. Let x be v(3). Suppose -3*h + 2 = 11. Let c be (x*16)/(h/(-210)). Round c to the nearest 100000.
100000
Let v = 58.3 + -65. Let i = 6 + v. Let f = -0.702 - i. Round f to three decimal places.
-0.002
Suppose -4*m = -m + 285375. Let u be ((-195)/(-3))/(3/2775). Let a = u + m. Round a to the nearest ten thousand.
-40000
Let z = 65063 + -65055.9941. Let o = 7 - z. What is o rounded to three dps?
-0.006
Suppose 6*r - 2*r = -3000. What is r rounded to the nearest one hundred?
-800
Let y = -96.1 - 11.9. Let h = y - -130.3. What is h rounded to the nearest integer?
22
Let b = 2 + -2. Suppose b*y - y = -5. Let t(d) = -d**3 + 5*d**2 - 5*d + 7. Let a be t(y). Round a to the nearest ten.
-20
Suppose 4*z - 20 = -3*a - 0, 4*a = -3*z + 22. Suppose 21 = d - z*d. Round d to the nearest 10.
-20
Suppose 3*g - 1352995 = -3782995. What is g rounded to the nearest 100000?
-800000
Let q(o) be the third derivative of -37*o**5/20 - o**4/12 + 3*o**3/2 + 2*o**2. Let t be q(9). Round t to the nearest 10000.
-10000
Let n be (-7)/(21/(-3330002)) - (-4)/(-6). What is n rounded to the nearest 100000?
1100000
Let r(a) = -a**2 + a + 126000. Let x be r(0). Round x to the nearest ten thousand.
130000
Let h(v) = 3*v - 15. Let n be h(6). Suppose -3*s - n*d = 28799994, -3*s + 2*d = -7198149 + 35998153. What is s rounded to the nearest 1000000?
-10000000
Suppose 0 = 4*g - 16, 2*g = -4*y + 3*y + 500075. Suppose y = -4*a - 299933. Round a to the nearest one million.
0
Let u = 243.9 + -223.902. Let j = 20 - u. What is j rounded to 2 dps?
0
Let k = -0.51 - -0.50954. Round k to four dps.
-0.0005
Let t = 1056209 + -5756209. What is t rounded to the nearest 1000000?
-5000000
Suppose -5*z = -6*z + 3. Suppose 2*y - z*y - 3*x = -86379, -3*y = -3*x - 259197. Let h be y/27 + 2/9. What is h rounded to the nearest 1000?
3000
Let x be (-2 + (-3)/2)*62. Round x to the nearest 10.
-220
Let u = -14 + 21. Let n = 3 - u. Let d(t) = -3751*t**2 - 4*t. Let i be d(n). Round i to the nearest 10000.
-60000
Let l = -1.329992 + 1.33. What is l rounded to 5 decimal places?
0.00001
Let q = 113 + -113.00106. Round q to four decimal places.
-0.0011
Let w = -126 - -127.17. What is w rounded to one dp?
1.2
Let i = 634224 + -134224. What is i rounded to the nearest 1000000?
1000000
Let r = 0.291 + -0.29099509. Round r to 6 decimal places.
0.000005
Let j = 61772.0704 - 63824.07. Let w = j + 2050. Let h = -2 - w. What is h rounded to three decimal places?
0
Suppose 554921 + 3395079 = 5*v. Round v to the nearest 100000.
800000
Suppose 0 = 4*q - q - 2*p - 45008, q - 5*p = 15020. Round q to the nearest ten thousand.
20000
Let h = 37.076 - 0.076. Let f = 5411 - 5447.81. Let j = f + h. Round j to one dp.
0.2
Let b = -5308650 - -9108650. What is b rounded to the nearest 1000000?
4000000
Let l = 1099.21620047541 + 29585033.78379532459. Let c = -29586163 + l. Let n = -30 - c. What is n rounded to 6 decimal places?
0.000004
Suppose 0*d + 2*d + 1409992 = 3*h, -5*d - 939980 = -2*h. Round h to the nearest one hundred thousand.
500000
Let i = -1 - -5. Suppose d + 33 = -5*t + i*d, 2*d = -t - 17. Round t to the nearest integer.
-9
Let f(j) = 5800*j. Let z be f(-2). What is z rounded to the nearest one thousand?
-12000
Let r(a) = 5*a. Let v be r(1). Suppose v*n - 378592 = -3592. Round n to the nearest ten thousand.
80000
Let n = 76899.6 + -76769.6053. Let v = n - 130. Round v to three decimal places.
-0.005
Let g = 10436.811 - 10444. Let a = -7.94 - g. Let l = 0.69 + a. Round l to two dps.
-0.06
Suppose 0 = 2*x - 10 + 186. Round x to the nearest 10.
-90
Let a be -7 + 8 - (0 - -15401). What is a rounded to the nearest 1000?
-15000
Let a be ((-8)/12)/(-1)*-1125. Round a to the nearest 100.
-800
Let l = -1.21 - -1.3. Let t = l + -0.083. What is t rounded to 2 decimal places?
0.01
Suppose 7 = -2*p + 11. Suppose -p*q = 5*u + 1965, 575 = -q + 4*u - 401. Round q to the nearest 100.
-1000
Let f = -1.27 + 0.17. Let h = 1.1028 + f. Round h to three decimal places.
0.003
Let z = -32 - -30.7. Let n = 16.7 - z. Let y = 16.9 - n. Round y to 0 dps.
-1
Let v = -14303 + 40385. Suppose -3*m + 78268 = -2*w, v = 2*m - m + 3*w. Suppose -4*n - 145912 - m = 0. What is n rounded to the nearest ten thousand?
-40000
Let m(c) = c**3 + 2*c**2 + 5*c - 1. Let n be m(4). Suppose -5*t + n = -60. Suppose -5*p - 133 = -3*j - t, p + 10 = 3*j. Round p to the nearest ten.
-20
Let w(t) = -t**2 - 11*t - 14. Let y be w(-10). Let z be (-226)/(-4) + 2/y. Round z to the nearest 10.
60
Let n = 3.4 + -3.4000153. What is n rounded to six dps?
-0.000015
Suppose -3 = q - 6. Let h be (-2)/q + (-8010006)/(-9). Round h to the nearest one hundred thousand.
900000
Let w = 10.8 + 3.8. Let d = 12 - 1. Let s = w - d. Round s to zero dps.
4
Let r = 462507 + -859124. Let y = -166617 - r. What is y rounded to the nearest 100000?
200000
Let z = -6.10276 + 6.1. Round z to 4 decimal places.
-0.0028
Let i = 62.166 + -0.066. Round i to 0 dps.
62
Let l = 8.9364 + 33.076. Let q = 42 - l. Round q to three dps.
-0.012
Let w = 78.8 + -67. Round w to zero decimal places.
12
Suppose -h + 4*g = 173172 - 22152, -g = -5. What is h rounded to the nearest 10000?
-150000
Let x = 5535580 - 3515580. What is x rounded to the nearest 100000?
2000000
Let v(c) = -216*c**2 - 8*c + 8. Let u be v(6). Let n = u - -13716. Let r be (4 - 6004)/(6/n). What is r rounded to the nearest 1000000?
-6000000
Let k = -0.0696 - 5.8604. Let z = -0.07 + k. Let x = 6.000018 + z. Round x to five dps.
0.00002
Let h = -5969111781 + 2522258770. Let s = -3446853071.99999959 - h. Let n = s - -61. Round n to 7 dps.
0.0000004
Let v = -626 + 661.9. Let d = -30 + v. What is d rounded to 0 dps?
6
Let r = -0.29 + -2.81. Let l = -3.27 - r. Let u = 0.17028 + l. What is u rounded to 4 decimal places?
0.0003
Let s = 58454.9000032 - 58455. Let f = s - -0.1. What is f rounded to six decimal places?
0.000003
Let b = 1 + -10. Let z = b - -7. Let a = z - -1.99995. What is a rounded to four dps?
-0.0001
Let p = 6 - 5.9999995. Round p to 6 dps.
0.000001
Let c = -53.2 + 6. Let m = c - -57. What is m rounded to zero decimal places?
10
Let h = -62.016 - -70. Let a = 8 - h. What is a rounded to 2 dps?
0.02
Let j = -11.33 + 10.667. Let k = j - -0.003. Round k to 1 dp.
-0.7
Let u(a) = -2435*a**3 + 2*a**2 + 5*a + 4. Let v be u(-3). Suppose 0 = -2*r - v - 46248. What is r rounded to the nearest ten thousand?
-60000
Let p = 5.0398 + -0.0098. Let t = p - -1.67. Round t to the nearest integer.
7
Let y = 4447476 + 8352524. Round y to the nearest 1000000.
13000000
Let k = 1.98 - 2.361. Let w = -0.38099843 - k. Round w to seven decimal places.
0.0000016
Let c = -0.1 + -0.2. Let o = c + 0.2996. Round o to three decimal places.
0
Suppose -2*k + y = -2582807 - 2137195, 2*k - 5*y - 4720010 = 0. Round k to the nearest one hundred thousand.
2400000
Suppose -4 = l + 5*c - 24, l + 8 = 2*c. Suppose -2*d + 11 - 5 = l, -d = -3*x - 1890003. What is x rounded to the nearest 100000?
-600000
Let b = -77.99911 + 78. Round b to four dps.
0.0009
Let b = 59383683.64813359 + 1.35186641. Let m = b + -59383660.0000104. Let n = m + -25. Round n to six decimal places.
-0.00001
Let j = 0.234 - 0.024. Let z = j + -22.21. Let u = z + 22.00000068. What is u rounded to seven decimal places?
0.0000007
Let t = 0.14 + -0.140285. What is t rounded to 4 dps?
-0.0003
Let n = 12952649468 - 12952649527.00000027. Let h = 59 + n. What is h rounded to seven decimal places?
-0.0000003
Let g be ((-15)/6)/((-1)/2). Suppose -3*c + 0*c = -g*w + 6900012, -5*c - 4140020 = -3*w. Round w to the nearest one hundred thousand.
1400000
Let o(y) = -y**2 + 7*y - 7. Let m be o(6). Let s be 2 - (-1 - (m - -1)). Suppose s*g + 0*g - 13200000 = 0. What is g rounded to the nearest 1000000?
4000000
Let k = 10 - 7.95. What is k rounded to one decimal place?
2.1
Let k = -5 - -7. Let v be (-5040002)/(-12) + k/(-12). Suppose f + 3*f = -v. What is f rounded to the nearest 10000?
-110000
Suppose -3 = -3*q, -5*j + 29 = -0*q + 4*q. Suppose j*b - 420 = -5*r, 0 = 2*r + 4*b - 7*b - 158. What is r roun
|
{
"pile_set_name": "DM Mathematics"
}
|
What is -8*a(o) - 3*p(o)?
-2*o**3 - 3598*o - 2
Let j(z) = 10*z**3 - 36*z**2 - 16*z + 708. Let g(s) = -2*s**3 + 7*s**2 + 3*s - 143. Give 16*g(n) + 3*j(n).
-2*n**3 + 4*n**2 - 164
Suppose 19*m = 22*m + 3. Let c(a) = a**2 - 6*a + 12. Let v(d) = -2*d + 3. Let t(l) = m*c(l) + 3*v(l). Let o(n) = 1. What is 5*o(i) + 2*t(i)?
-2*i**2 - 1
Let j(n) = -9565*n + 2. Let k(s) = 38345*s - 9. Calculate -9*j(l) - 2*k(l).
9395*l
Let i(k) = -4*k - 8. Let r(f) = -4*f - 7. Let b(d) = 8*d + 14. Let p(s) = 5*b(s) + 11*r(s). What is -4*i(u) + 5*p(u)?
-4*u - 3
Let l(i) = 16*i**3 + 5*i**2 + 58*i + 2. Let m(q) = q**3 + q**2. Calculate -l(p) + 6*m(p).
-10*p**3 + p**2 - 58*p - 2
Let g = 12955 + -12961. Let x(t) = 66*t**2 + 11. Let n(u) = 13*u**2 + 2. What is g*x(a) + 33*n(a)?
33*a**2
Let z(j) = -1. Suppose 0 = 3*v + 5*f + 18, -5*v - 94 = 5*f - 84. Let c(k) = 21*k + 3. Calculate v*z(w) + c(w).
21*w - 1
Suppose -3*m = n - 1 - 11, -4*m = -n + 19. Suppose -21*o + 36 = -n*o. Let p(r) = 7*r - 5*r + r - o*r. Let z(q) = 13*q + 1. Determine -9*p(y) - 2*z(y).
y - 2
Let t(j) = -144*j**2 + 33*j. Let v(a) = -4183*a**2 + 4192*a**2 + 47*a - 49*a. Determine -2*t(b) - 33*v(b).
-9*b**2
Let m(j) = -2014 + 6044 - 2022 - 2012 + 2*j. Let c(t) = -3*t + 5. Suppose 3*u - 12 = -u. Let a be (-2)/(-1*2/4). Calculate a*m(f) + u*c(f).
-f - 1
Let j(x) = -x**2 + x - 1. Let t be (-5)/2*(-32)/20. Let s be t*1 + ((-18)/3 - -38). Let v(k) = s - 4*k - 31 + 6*k**2 - k. Give 5*j(d) + v(d).
d**2
Let p(a) = 14*a**3 + 3*a**2 - 3*a. Let s(g) = 3*g**3 + 83*g**2 - 22*g - 70. Let d be s(-28). Let w(b) = -561*b**3 - 119*b**2 + 119*b. Determine d*p(y) - 6*w(y).
34*y**3
Let b(s) = 3*s - 2. Suppose 6*k = 35*k - 145. Let m(h) = 87*h + 94*h + 86*h - 3 - 261*h. Determine k*b(a) - 3*m(a).
-3*a - 1
Let b(k) = 48*k**3 + 36*k**2. Let v(s) = -s**3 - s**2. Suppose h + 3*h = 144. Let a = -21931 - -21932. What is a*b(y) + h*v(y)?
12*y**3
Let v(k) = -14 - k + 4 - 5*k. Let d be 1*-7*12/(-14). Let c(u) = -20*u - 54. Let o(w) = 5*w + 13. Let m(r) = 2*c(r) + 9*o(r). Give d*v(g) + 7*m(g).
-g + 3
Suppose -c - 2*c = -5*z - 4, 4*z + 3*c = 13. Let h(b) = b**3 + b**2 + b - 1. Let i(a) = 2*a**2 + 2*a - 5 - 3*a**3 - 5 + 0*a + 8. Determine z*i(u) - 2*h(u).
-5*u**3
Suppose 2*k - 28 = -18. Let f(s) be the first derivative of -3 + s**2 - 2 - 3*s - 1. Let v(l) = 2*l - 4. Determine k*f(p) - 4*v(p).
2*p + 1
Let a(v) = -3*v**3 - 42*v**2 + 20*v - 703. Let p(q) = q**3 + 15*q**2 - 7*q + 234. Give -5*a(z) - 14*p(z).
z**3 - 2*z + 239
Let z(w) = -18*w - 164. Let t(u) = -2*u - 13. Calculate 33*t(o) - 3*z(o).
-12*o + 63
Let p = -243 - -250. Let c(i) = -7*i + 6. Let y(q) = q + q - 7 + 6*q. Determine p*c(t) + 6*y(t).
-t
Let v(d) = d - 7. Let u(r) = -r**2 - 6*r - 1898. What is u(q) + 6*v(q)?
-q**2 - 1940
Let i(w) = -3*w - 7. Suppose 3*v + 4*a = 0, -5*v + 16 - 39 = -a. Let p be 1*1/(-8) + (-110)/16. Let r(d) = 5*d + 13. Calculate p*i(m) + v*r(m).
m - 3
Let s(q) = 15*q**2 - 5*q + 1. Let l = 159 - 161. Let h(u) = 7*u**2 - 2*u. Suppose 0 = -2*o - 2*o + 5*b + 35, -4*b = -o + 17. Determine l*s(k) + o*h(k).
5*k**2 - 2
Let t(r) = 40*r + 46. Let i(s) = -4*s - 10. Determine 6*i(f) + t(f).
16*f - 14
Let m(z) = -443*z**3 - 8*z**2 - 4*z + 4. Let d(i) = 882*i**3 + 18*i**2 + 9*i - 9. Determine -4*d(x) - 9*m(x).
459*x**3
Let r(k) be the first derivative of -5*k**3/3 + 4*k + 1714. Let g(u) = 9*u**2 - u - 8. Calculate -2*g(a) - 5*r(a).
7*a**2 + 2*a - 4
Let k(o) = 15*o - 7. Let u(c) = 15*c - 6. Suppose 0 = -17*q - 3*q - 120. What is q*u(m) + 5*k(m)?
-15*m + 1
Let t(w) = 3*w**3 + 4*w**2 - 2. Let k(s) = -13 - 9 + s - 11 + 52. Let g be k(-18). Let h(r) = -r**3 - r**2 + 1. What is g*t(i) + 4*h(i)?
-i**3 + 2
Let o(u) = 6*u + 4. Let b(c) = -4 + 3 - 5*c - 2 + 6 - 6. Determine -7*b(t) - 6*o(t).
-t - 3
Let o(v) be the third derivative of -v**5/15 + v**4/12 - 5*v**3/3 + 4*v**2 + 235*v. Let y(z) = 2*z**2 - z + 5. Give 3*o(u) + 5*y(u).
-2*u**2 + u - 5
Let r(g) = -5 + 3*g + 6*g - 1. Let w(z) be the first derivative of 4*z**2 - 5*z - 1670. Give 4*r(c) - 5*w(c).
-4*c + 1
Let m(w) = w**3 + 2*w - 8. Let v(i) = 84*i - 759. Let j be v(9). Let r(t) = 0*t - 3*t - 25*t**3 + 23*t**3 + 9. Give j*m(p) - 2*r(p).
p**3 + 6
Let p(k) = -k**2 - k. Suppose 12 = 3*t + 386*z - 387*z, 0 = 2*t - 4*z - 38. Let f(a) = -270*a**2 - 225*a. Determine t*f(g) - 225*p(g).
-45*g**2
Let n(g) = -3*g**2 + 211*g - 275. Let p be n(69). Let y(i) = i**2 - 1. Let b(q) = -4*q + 12*q**2 - 4 + 4*q. Calculate p*b(k) - 5*y(k).
7*k**2 + 1
Let s(m) = -4*m**2 - 2*m + 9. Let i(d) = -3*d**2 + 7 + 1 + d - 3*d. Let c(z) = 2*z**3 - 5*z**2 + 150*z - 290. Let x be c(2). Determine x*s(h) - 7*i(h).
-3*h**2 + 2*h - 2
Let q(a) be the third derivative of -11*a**5/12 - 11*a**3/3 + 35678*a**2. Let w be 33/(-2)*4/3. Let z(r) = -8*r**2 - 3. Calculate w*z(p) + 3*q(p).
11*p**2
Let j(n) = 6*n + 5. Let c(u) = -u - 1. Suppose 396*f = 452*f + 168. What is f*j(o) - 21*c(o)?
3*o + 6
Let b(l) = 568*l**3 + 4*l**2 + 13*l + 11. Let v(c) = -284*c**3 - 2*c**2 - 6*c - 5. Give 4*b(o) + 9*v(o).
-284*o**3 - 2*o**2 - 2*o - 1
Let z(x) = 18*x**2 + 38*x**2 + 35*x**2 - 128*x**2 + 36*x**2 - 6. Let q(m) = -m**2 - m - 1. Give -2*q(i) + z(i).
i**2 + 2*i - 4
Let r(y) = 256337*y**2 - 2 - 3*y - 512672*y**2 + 256337*y**2. Let s = 1 - 0. Let o(c) = c**2 - c. Calculate s*r(t) - 4*o(t).
-2*t**2 + t - 2
Let v(m) = m - 7. Let x = -98 + 89. Let l = x - -12. Let t(a) = -2. Let n(b) = -1. Let i(d) = -3*n(d) + 3*t(d). Give l*v(j) - 7*i(j).
3*j
Let t(b) = -2*b. Let v(c) = 5*c. Let d be -1*(-1 - 0)*0. Let y be -11 - 71 - (1 + d). Let z = -88 - y. What is z*t(l) - v(l)?
5*l
Let z(k) = -10*k + 3. Let x(r) = 481*r - 143. Let h = -6286 - -6572. Calculate h*z(y) + 6*x(y).
26*y
Let c(m) = -1. Let k(n) = 2. Let x(a) = 2*c(a) + 3*k(a). Suppose -4*i = -2*p - 58, -241*p - 76 = -5*i - 238*p. Let s(l) = l - 21. Give i*x(b) + 2*s(b).
2*b + 2
Let n(x) = -x**3 + x - 2. Let d(g) = -125*g**3 + 3*g**2 - 4*g + 12. What is d(k) + 5*n(k)?
-130*k**3 + 3*k**2 + k + 2
Let c(b) = -7*b - 24. Let j(s) = 4*s + 24. Let t(f) = 2*c(f) + 3*j(f). Let n(o) = 3*o - 36. Determine -5*n(i) - 7*t(i).
-i + 12
Let m(h) = -112*h**2 + 10*h - 5. Let v(f) = -2*f + 1. What is -m(t) - 5*v(t)?
112*t**2
Let s(f) = 13*f**2 + 158*f + 95. Let h(d) = -20*d**2 - 219*d - 142. Let t(z) = -5*h(z) - 7*s(z). Let a(r) = 4*r**2 - 5*r + 22. Calculate -7*a(b) + 3*t(b).
-b**2 + 2*b - 19
Let r(q) = 12*q**2 + 42*q + 25. Let h(c) = c**2 + 4*c + 1. What is -10*h(l) + r(l)?
2*l**2 + 2*l + 15
Let w(u) be the third derivative of -u**5/60 - u**4/24 + 6942*u**2. Let n(c) = 78*c. What is -n(d) - 78*w(d)?
78*d**2
Let c(a) = 92*a**3 + 15*a**2 + 33*a + 3. Let h(x) = 66*x**3 + 10*x**2 + 22*x + 2. Give -5*c(p) + 7*h(p).
2*p**3 - 5*p**2 - 11*p - 1
Let r(i) = -36*i - 9. Suppose -103*n + 2*n + 6*n = -855. Let v(p) = -p - 1. Calculate n*v(d) - r(d).
27*d
Let f(j) = -20020*j - 293. Let y(u) = 2860*u + 39. Give -2*f(o) - 15*y(o).
-2860*o + 1
Let u(s) = 41*s**3 - 2*s**2 - 2*s. Let h(p) = -3*p**2 - 3*p - 438*p**3 + 233*p**3 + 246*p**3. What is 2*h(d) - 3*u(d)?
-41*d**3
Let i(d) = -20*d - 8. Let l(q) = 85*q + 12. Let b(t) = -183*t - 25. Let s(o) = 5*b(o) + 11*l(o). Give -6*i(z) - 7*s(z).
-20*z - 1
Let j = -13 + 18. Suppose -6*s = j + 7. Let p(h) = -27 - 16*h + 9 + 44. Let i(b) = -3*b + 5. Give s*p(u) + 11*i(u).
-u + 3
Let j(g) = -42*g**3 + 12*g**2 - 3*g + 1. Let i(h) = 38*h**3 - 15*h**2 + 4*h - 1. What is 3*i(m) + 4*j(m)?
-54*m**3 + 3*m**2 + 1
Let d(g) be the first derivative of 53*g**3 + 3. Let y be 3*5*((-9450)/250 + 40). Let f(p) = -10*p**2. Give y*f(s) + 2*d(s).
-12*s**2
Let s be (-8)/5*((-24)/(-56) + (-246)/84). Let o(f) = 24*f**2. Let q(y) = 217*y**2. Calculate s*q(u) - 35*o(u).
28*u**2
Let t(u) = -1. Let p(n) = -n**2. Let j be ((-8)/(48/12))/2. Determine j*p(c) - 3*t(c).
c**2 + 3
Let p = 72 + -32. Let g = 35 - p. Let h(i) = -9*i + 7. Let m(a) = -4*a + 3. Let r(u) = g*m(u) + 2*h(u). Let k(w) = w**2 + w. Determine k(j) - r(j).
j**2 - j + 1
Let h(c) = -7*c**2 + c + 1. Let k(g) = g**3 - 12*g**2 + 15*g - 47. Let x be k(11). Let o(v) = 8*v**2 - v - 1. Calculate x*h(p) - 4*o(p).
-11*p**2 + p + 1
Let m(l) = -l + 11. Let g(c) = -27*c + 1461. Let q(o) = -11*o + 606. Let i(t) = 5*g(t) - 12*q(t). Determine 6*i(u) - 17*m(u).
-u + 11
Let g(n) = -71*n + 192. Let p(c) = -99*c + 288. Give 7*
|
{
"pile_set_name": "DM Mathematics"
}
|
-7*a + 3. Let h be b(-1). Let p be 3 - 2 - (-7 + (h - 5)). Suppose p*n + 1071 = 12*n. List the prime factors of n.
7, 17
Let u = 42 + -40. Suppose -5*p = -0*j - 5*j + 3085, u*p - 602 = -j. What are the prime factors of j?
2, 3, 17
What are the prime factors of 2/(-18) + (-130)/40 + 18455805/324?
7, 79, 103
Let a(p) = p**2 - 5*p + 2. Let f be a(0). Suppose -l - 3*u = -498, l - f*l + 514 = -5*u. What are the prime factors of l?
2, 3, 7
Let g = 47 - 186. Let f = g + 379. What are the prime factors of f?
2, 3, 5
Let f = 15177 + -7942. What are the prime factors of f?
5, 1447
Let x = -1345 - -3769. What are the prime factors of x?
2, 3, 101
Suppose 609 + 357 = -3*x - 5*j, 5*j = x + 322. Let r = x + 814. What are the prime factors of r?
2, 3, 41
Let n = -18784 - -32190. What are the prime factors of n?
2, 6703
Let l(c) = 23*c**2 - 15*c - 64. Let y be l(-5). Let g = -226 + y. List the prime factors of g.
2, 3, 5
Let r(t) be the second derivative of t**5/20 - 2*t**2 + 10*t. Let h be r(3). Suppose -m + 45 = -h. List the prime factors of m.
2, 17
Suppose 652336 = -72*g + 1414617 + 928711. List the prime factors of g.
2, 11743
Let k(p) = -p**3 + 12*p**2 + 11*p - 42. Let a = -185 + 196. What are the prime factors of k(a)?
2, 5
Suppose 7*y - 47*y = 0. Suppose y = 863*k - 860*k - 1023. List the prime factors of k.
11, 31
Let b(y) = 92*y + 87. Let f(x) = 277*x + 264. Let l(z) = -8*b(z) + 3*f(z). What are the prime factors of l(9)?
3, 317
Let c(r) = r**3 + 14*r**2 - 34*r - 30. Let i be c(-16). List the prime factors of (-6*4/4)/i + 387.
2, 3
Let x(j) = -j - 129. Let h be x(-27). Let z = h + 123. List the prime factors of z.
3, 7
Let h = 269 + -100. Let o = 53 + h. What are the prime factors of o?
2, 3, 37
Let h(a) = 93 - 105 - 8*a - a**2 + 5*a**2 - a**2. Let n be h(16). Suppose -n = -4*f - 44. List the prime factors of f.
2, 73
Let p be (-10)/(-1) - (-8 + 9). Suppose 188 = -p*f + 11*f. Let h = 239 - f. What are the prime factors of h?
5, 29
Suppose 5*h = 4*v + 51587, 9*v - 41278 = -4*h + 8*v. List the prime factors of h.
17, 607
Let t = 52 + -25. Let m = t + -18. Let b(q) = q**2 + q - 6. What are the prime factors of b(m)?
2, 3, 7
What are the prime factors of 95/2*(118 - (14 - 20))?
2, 5, 19, 31
Let f be (3 - (1 + 2)) + (-2 - -2). Suppose 3*g - 2*g + 3 = f, -2*i = -2*g - 16. Suppose -i*x - 90 = -7*x. What are the prime factors of x?
3, 5
Suppose 14*k - 5*k = 8928. List the prime factors of (k*5)/8 - 0.
2, 5, 31
Let d(q) = -57*q + 1. Let s be d(-1). Let l = 106 - s. Suppose -4*h + l = 2*t - 26, 4*h = t - 55. List the prime factors of t.
43
Let b(m) = m**2 + 55*m + 2109. What are the prime factors of b(-71)?
5, 11, 59
Suppose a = 2*u + 6745 + 9773, u = 1. What are the prime factors of a?
2, 5, 7, 59
List the prime factors of (194/24 - 8) + (-2672920)/(-96) + 1.
2, 6961
Let v be ((-17)/2 - -8)*(-4995 - 1). Suppose 4*z = -3*k + 2006, 7*z = 2*z + k + v. What are the prime factors of z?
2, 5
Let d(q) = 8*q + 4. Let r(f) = 1. Let v(h) = -d(h) - 4*r(h). Let b = -8 + 1. List the prime factors of v(b).
2, 3
Let k = -8 - 13. Let w = 23 + k. Suppose 98 + 28 = w*b. List the prime factors of b.
3, 7
Let s be ((-1)/(-2))/(8/(-96)*2). What are the prime factors of s*4/10*9030/(-12)?
3, 7, 43
Suppose -5*q + q = -8. Let z be (-10)/6*354/(-295). Suppose -2*n - q*w = 3*n - 540, z*n = 3*w + 235. What are the prime factors of n?
2, 5, 11
Suppose 0 = 6*n - 7*n - a - 1020, -n + a - 1030 = 0. Let d = n + 1673. What are the prime factors of d?
2, 3
Suppose 2*g = -9 + 17. Suppose g*r = 0, -u + 4*r + 5 - 2 = 0. Suppose 213 = 3*y + u*d, -d = -0*d. List the prime factors of y.
71
Suppose 6 = -3*f, -2*g - 3*f = -4*f - 20880. List the prime factors of g.
11, 13, 73
Suppose 86*d - 77*d - 36 = 0. Suppose 3*x + 2*t - t = 401, d*x - 544 = t. List the prime factors of x.
3, 5
Let r = 455 - 414. Let i be (-125)/(-3 + 6 - 4). Let p = i + r. List the prime factors of p.
2, 83
Let k(t) = -2*t**3 - 24*t + t**3 - 11*t**2 + 0*t**2 - 5 - 3*t**2. What are the prime factors of k(-16)?
3, 11
Suppose 0 = 156*u - 160*u - 3*b + 66062, -u = -b - 16519. What are the prime factors of u?
83, 199
Let r(k) = -k**2 - 14*k + 48. Let m be r(-17). List the prime factors of 7 + -8 + 6*(-54)/m.
107
Let j(b) = b**2 + 18*b. Let c(o) = 2*o - 51*o - 13*o - 10*o - 4*o**2 + 1. Let q(a) = -2*c(a) - 9*j(a). List the prime factors of q(-12).
2, 5, 7
Suppose -268424 = 3*r - 16*r. List the prime factors of r.
2, 29, 89
Let c = 935 - 539. Suppose 4*p = 7*p - c. What are the prime factors of p?
2, 3, 11
Let x be (1 + (-4)/2)*1*-177. Let f = x + -105. What are the prime factors of f?
2, 3
Let x = -189 - -192. What are the prime factors of (1452/18*-7)/((-2)/x)?
7, 11
Let k(v) = 12*v**2 + 5*v + 7*v**2 - 237 + 243. Let i be k(6). Suppose -2*b - 8*b = -i. What are the prime factors of b?
2, 3
Let i be (-3)/12*-28 + -3. Suppose j + 2*v + 596 = i*j, 0 = -v + 2. What are the prime factors of j?
2, 5
Let f = -781 + -380. Let s = f - -1672. What are the prime factors of s?
7, 73
Let w be 6/(-36) - (-42)/36. Let z(p) = 18*p**2 - 4*p - 2. Let v(t) = 53*t**2 - 11*t - 5. Let n(r) = 3*v(r) - 8*z(r). List the prime factors of n(w).
3, 5
Let g(r) = r**3 - 22*r**2 + 28*r + 27. Let d be g(23). Suppose 0 = 5*q + 2*k + 8064, -k = 2*q + 2026 + d. List the prime factors of q/(-10) + 2/(-10) + 1.
2, 3
Let z be (-19 - -19) + 3 + 0. Let w = -7 - -19. List the prime factors of 464/z - (0 - (-8)/w).
2, 7, 11
Let d(x) be the first derivative of 51*x**2/2 + 176*x + 54. List the prime factors of d(15).
941
Let h = -26 - -34. What are the prime factors of 1*h/(-12)*(0 + -1590)?
2, 5, 53
Let c be ((-210)/(-75))/((-2)/(-180)). Let p = c + 136. What are the prime factors of p?
2, 97
Suppose k + 3*b = 8*b + 1437, 7157 = 5*k + 3*b. List the prime factors of k.
2, 179
Suppose -2*d + 18*r = -3123 - 12193, 30398 = 4*d + 3*r. List the prime factors of d.
2, 1901
Let o = 235 - 123. Let c = 114 - o. Suppose -3*k = -5*q - 678, -q - 453 = -c*k + 2*q. List the prime factors of k.
3, 7, 11
Let j(a) = a**3 - 11*a**2 + 16*a + 12. Let r be j(2). Suppose -5*m + n + 350 = 0, 0 = -2*m + 3*n + 81 + 46. Let x = m - r. What are the prime factors of x?
3, 7
List the prime factors of 5103/756*(-1 + 1281).
2, 3, 5
Suppose -15767 = 16*q - 310167. What are the prime factors of q?
2, 5, 23
Let n(s) = s**3 + 8*s**2 + 8*s + 21. Let b be n(-6). Suppose -41*h + b*h = -4*j + 2336, -2*h + 1183 = -j. What are the prime factors of h?
19, 31
Let o(i) = 27*i**2 - 135*i + 11. Suppose 5*t + 136 = 22*t. What are the prime factors of o(t)?
659
Let x(m) = -6*m - 9. Let n(t) = -t**3 + 9*t**2 - 7*t - 22. Let i be n(7). Let l = i - 45. What are the prime factors of x(l)?
3, 11
Suppose 11*o - 4*o + 595 = 0. Let c = o - -90. What are the prime factors of (2 + 3)/c*23*7?
7, 23
Let h(w) = -3*w**3 - 2*w**2 - 7*w - 3. Let y(x) = x**2 + x + 1. Let p be (-39)/(-26) + (-5)/2. Let m(z) = p*y(z) + h(z). What are the prime factors of m(-3)?
2, 37
Suppose 712*v + 200772 = 778*v. List the prime factors of v.
2, 3, 13
Suppose -3*y + 6 = 3*m - 0*y, 4*y - 10 = -5*m. Let f be ((-228)/18 - -6) + m/3. What are the prime factors of 4585/42 - (-1)/f?
109
Suppose -22*v - 5*v - 1957668 = -165*v. What are the prime factors of v?
2, 41, 173
Let u be (-2)/21*-3 + 5562/378. Suppose 12 = -11*x + u*x. Suppose 2*s = -0*s - x*g + 266, 126 = s - 2*g. What are the prime factors of s?
2, 5, 13
Suppose -5*c - 10 = 5*t, -t + 4*t = -15. Let i be 3/(-18) - c/(-18). Suppose a - 5*a - 4 = i, 2*a + 986 = 4*n. What are the prime factors of n?
2, 3, 41
Suppose -216923 = -12*l - 137*w + 142*w, -4*l + 72306 = -2*w. What are the prime factors of l?
101, 179
Suppose 4*o = 11 - 15. List the prime factors of (-4593)/(-9) - o/(-3).
2, 3, 5, 17
Suppose -3*i + 13667 = -1825. What are the prime factors of i?
2, 1291
Let v(x) = x**2 - 23*x + 56. Let y be v(13). Let m = 147 + y. List the prime factors of m.
73
Let z(y) = -10*y**3 - 9*y**2 + 3*y - 5. Suppose -4*a = a - l + 28, -3*a + 4*l - 27 = 0. What are the prime factors of z(a)?
3, 5, 67
Let s be 0/(((-1)/3)/((-1)/3)). List the prime factors of 436 - -1*(1 - s).
19, 23
Let o = 411 - 420. What are the prime factors of 90*o/12*208/(-24)?
3, 5, 13
What are the prime factors of 573560/62 + 459/14229?
11, 29
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 681*u - 695*u + 2*u**2 + 1 to the form z*u**2 + v + x*u and give x.
-14
Express (3472*d - 3165*d + 8100*d + 2122*d)*(4*d**2 + d**2 - 6*d**2) in the form q + u*d**2 + x*d**3 + l*d and give x.
-10529
Rearrange 8*v**3 + 75*v - 77*v - v**4 + 1 + 7*v**2 - 10*v**3 to the form g*v + p*v**2 + y*v**4 + b*v**3 + x and give x.
1
Express (-2*h + h + 2*h)*(23*h**2 + 57 - 57) + h**3 + h**3 - h**3 in the form x*h**2 + n*h**3 + b*h + d and give n.
24
Express n**4 - 65*n - 4*n**2 - 56 + 64*n - 2*n**3 + 52 in the form d + r*n**3 + j*n + m*n**4 + b*n**2 and give m.
1
Rearrange 3*m**2 + 34*m**3 + 3*m**2 - m**4 - m - 39*m**3 + 1 to the form x*m**2 + w*m**4 + i + c*m + h*m**3 and give x.
6
Express 344*i**2 - 39*i**2 + 63*i**2 - 99*i**2 + 299*i**2 as k*i + m*i**2 + l and give m.
568
Express (o + 2*o - o)*(1255*o + 7 + 13 - 20) in the form f*o**2 + u + j*o and give f.
2510
Express (0 + 1 - 3)*(-2*b + 3*b + b) - 175*b + 201*b - 162*b in the form g + d*b and give d.
-140
Express -23*b**2 - 1 + 11*b**2 - 3*b + 6*b**2 - 2 in the form p*b**2 + o*b + m and give p.
-6
Rearrange 8818*b + 4 - 10*b**2 - 4413*b - 3 - 4416*b to the form y*b**2 + q*b + p and give y.
-10
Express -4 + r + 4 + (2 - 2 + 2*r)*(1 - 3 + 0) + (-6 + 6 - 4*r)*(45 - 66 + 83) in the form n*r + h and give n.
-251
Rearrange 7 - 21*a**2 + 32*a**2 - 38 + 11 to the form x + n*a**2 + c*a and give c.
0
Rearrange -4*u + 21503 - 21502 - 2*u**2 - 4*u**2 to r*u + f*u**2 + n and give f.
-6
Rearrange (6 - 5 + 5)*(2*d - 1 + 1 + 1)*(-17*d + 25*d - 36*d) to the form a*d + u + s*d**2 and give s.
-336
Express 2 + 5*d**4 - 2 + (0 - 4 + 3)*(-2*d**4 + d**3 - d**3) - d**4 + 6*d**4 - 3*d**4 - 3*d**4 + d**4 - d**4 as s*d + w*d**4 + b*d**3 + x*d**2 + j and give w.
6
Express 554*b - 1111*b - b**3 - 3*b**3 + 3*b**2 + 5*b**3 + 6 + 558*b in the form z*b**2 + g*b**3 + o + i*b and give i.
1
Express -9 + 5*u**2 - 15 - 9*u**2 + 5*u**2 in the form i*u**2 + l + q*u and give l.
-24
Rearrange 9*j - 3*j**2 - 6*j**2 + 3*j**3 + 7*j**2 to the form s*j**2 + i + l*j + k*j**3 and give l.
9
Rearrange (5 + 3 + 7)*(3 - 3*y**3 - 3) - y**3 - 2 + 2 + (3 - 2 + 1)*(5*y**3 - y**3 - 2*y**3) to the form n + h*y**2 + z*y**3 + b*y and give z.
-42
Express 2*o**2 + 10 - 32 - 8 - o**2 - 4 as b*o**2 + h*o + w and give b.
1
Rearrange 4 - 17*r**3 + 20*r**3 + 0*r**4 + 5*r**2 + 2*r**2 - 6*r**2 + 2*r**4 to the form l + u*r + x*r**2 + o*r**3 + w*r**4 and give w.
2
Rearrange k**2 - 3*k**2 + 2*k**2 - 13*k**4 + 2*k - 17 - 2*k**3 + 9 to m*k**2 + l*k**3 + d*k + q + z*k**4 and give q.
-8
Express -2*w**3 + 5*w**3 - w**3 + 4 - 3*w**3 - 4 + (52*w - 52*w - 5*w**2)*(0 + 0 + 3*w) as b*w + s*w**2 + u*w**3 + f and give u.
-16
Express 79 - o + 0*o + 157 + 0*o as f*o + z and give z.
236
Rearrange 6*q + 3*q**3 - 2*q**2 + 6*q**4 - 3*q**3 - 3*q**4 + 1 - q + 4*q**3 to the form d*q**4 + i*q**2 + x*q**3 + c*q + u and give c.
5
Express 5 + 3*w + 1 - 9 - 25*w in the form v + h*w and give h.
-22
Rearrange -12*l**2 + 29*l**2 - l**3 - 14 - 5*l**2 - 8 - 10*l**2 to the form m*l + u + c*l**3 + b*l**2 and give u.
-22
Rearrange -644*v + 375*v - 1052*v to the form p*v + c and give p.
-1321
Express s**2 + 11*s**2 + 9 - 3*s**2 + 2*s**2 - 1 in the form f*s + c + m*s**2 and give f.
0
Express -125*l**3 + 793*l**4 + 31*l**3 + 95*l**3 + l**2 in the form s*l**4 + d*l + v + a*l**3 + c*l**2 and give c.
1
Rearrange (2*v**2 + 13*v**2 + 6*v**2)*(-1586*v - 134*v**2 + 1586*v) + v**4 - 1 + 1 to c*v**3 + g*v**2 + j*v**4 + a*v + t and give j.
-2813
Express -4 - k - 52*k**4 + 3 + 9 - k - 4 in the form t*k**3 + y*k + u + h*k**2 + i*k**4 and give u.
4
Express -2*y**4 - 675 + 2*y**2 + 675 - 8*y**4 - y**3 in the form x + v*y**4 + i*y**2 + z*y + c*y**3 and give i.
2
Rearrange -65*c - 63*c + 14*c to the form s*c + i and give s.
-114
Express (-3 - 5 + 6)*(-q**2 + q**2 - 5*q**3) + (0 + 0 - 2*q**3)*(3 + 2 - 6) in the form v*q + d + c*q**3 + u*q**2 and give c.
12
Express (-q - 2 + 2)*(72 + 50 + 24) as i + n*q and give n.
-146
Express (2*l**2 + 0*l**2 - l**2)*(6*l - 4*l - 4*l) - 4 + 3*l**2 + 2 - 9*l**3 + 10*l**3 as u*l**3 + v*l + r + z*l**2 and give z.
3
Rearrange (-3 + 3 + 9*l**3)*(1 - 4 + 4)*(2 - 2 - 1) to s*l**2 + c + h*l**3 + x*l and give h.
-9
Express -6263 - 42*y + 6263 as o*y + p and give o.
-42
Rearrange (7 - 6 + 11)*(3*u - 1 + 1) to h*u + t and give h.
36
Express -5*u**3 + u**3 + 5*u**3 + 2*u**3 + 3*u - 3*u + (-3*u - u + 2*u)*(-11*u**2 + 186 - 186) in the form c*u**3 + j*u + t + m*u**2 and give c.
25
Express 5 + 2*q**2 - 8*q**4 + q**4 - 3 - 9*q**3 + 5*q**4 as h + k*q**3 + b*q**2 + a*q + y*q**4 and give k.
-9
Express (-7*l + 8*l - 1 - 1)*(-28*l - 14*l - 12*l) in the form w*l + n + j*l**2 and give j.
-54
Express -g + 2*g - 20 + 3*g + 0*g + 2*g as i + v*g and give v.
6
Rearrange (-1 + 3 + 0)*(-2*q + 3*q - 2*q) + 3 - 3 - q - 8*q + 40 - 40 - 1 + 0 + 3 - 3*q + (0*q + 2*q - 4*q)*(-2 + 5 - 5) to c*q + n and give c.
-10
Express (0 + i**2 + 0)*(-1 + 5 + 4)*(13*i - 14*i - 33*i) as d*i**3 + g*i**2 + h + j*i and give d.
-272
Express (-k**2 - k**2 + 0*k**2)*(-1845 - 3584 + 157 + 535) in the form x + o*k + t*k**2 and give t.
9474
Express 24 - 31 - 9*j**2 + 28 as n + s*j + b*j**2 and give s.
0
Express -4*v**4 - 172 + 6*v - 4*v**2 + 4*v**2 + 171 in the form h*v**2 + n + m*v**4 + r*v + d*v**3 and give n.
-1
Express 1 + 796*i + 0*i**2 + 5*i**3 - 1591*i + 796*i - 2*i**2 in the form d*i**3 + x*i**2 + u + p*i and give p.
1
Express 10*s**3 + 17*s**3 - 6*s**3 + (-s**2 + s**2 + 3*s**2)*(2*s - 5*s + 2*s) - 4*s**2 + 2*s**3 + 4*s**2 in the form a*s**3 + w + m*s**2 + v*s and give a.
20
Express (-14 + 8 - 7 + 2*v)*(5*v - v - 2*v + (2 - 2 - 3)*(-3 + 3 + v)) in the form z + u*v + l*v**2 and give l.
-2
Express -2*q**2 + 3*q**2 + 2*q**2 - q**4 + (-3*q**3 + 4*q**3 + q**3)*(-30*q + 12*q + 12*q) as j*q**3 + d*q**2 + y + k*q + n*q**4 and give n.
-13
Express -10 + j + 67*j**3 - 1 - 126*j**3 + 60*j**3 in the form g*j**3 + x + y*j + p*j**2 and give x.
-11
Express -59*p**2 + 31*p**2 - 19*p**2 - 88*p**2 as c*p**2 + g + x*p and give c.
-135
Express ((4 - 1 - 5)*(-2 - 2 + 3)*(-2*z**2 - 3 + 3) + 58 + 8*z**2 - 58)*(z**2 - 4*z + 0*z**2 + 0*z) as p*z**4 + l*z + t*z**3 + a + i*z**2 and give p.
4
Express (-4 + 2 + 3 + (5 + 0 - 2)*(-3 - 1 + 2) + 3 - 6 + 1)*(57*x - 57*x + 53*x**2) in the form h + q*x + r*x**2 and give r.
-371
Express 1 - 2*n - 13*n - 3*n in the form z + g*n and give z.
1
Express -4232 - 4234 + 8464 + 76*k as s + c*k and give c.
76
Rearrange -2*s + 2*s - 2*s**2 + (-316*s + 25*s - 36*s)*(-3*s - 2*s + s) to j*s + p*s**2 + m and give p.
1306
Express -20 + 35 + 47*b**3 - b**2 - 15 in the form z*b**3 + n*b**2 + s*b + x and give n.
-1
Express (-193*h + 199 - 199)*(1 + 2 - 1)*(-h + h + 2*h)*(-1 - 2 + 2)*(4 - 3 + 1) as y*h + z + m*h**2 and give m.
1544
Rearrange (-9*w + 4 - 4)*(30*w - 8*w + 17*w) + (1 - 1 + w)*(2*w + 0*w - 4*w) + 0*w + 3*w**2 + w - 2*w**2 to f*w**2 + h*w + s and give h.
1
Rearrange (-d + 0*d + 0*d)*(3*d + d - 2*d)*(-6 - 21 + 15)*(15 - 3*d - 3*d + 5*d) to the form s*d**3 + h*d + n + l*d**2 and give s.
-24
Express 25*v + 1178 - 1178 + 21*v as i + g*v and give i.
0
Express 78*q**2 + 80*q**2 + 29*q**2 - 4*q**2 - 20*q**2 in the form v*q + y*q**2 + u and give y.
163
Express -110*a**4 + 223*a**4 + 2*a**2 - 2 + a**3 - 115*a**4 - a as v*a**4 + w*a + l*a**3 + p*a**2 + b and give v.
-2
Express (1141 - 299 + 350)*(r - r + r) as g + i*r and give g.
0
Rearrange -2*h - 2*h - 36*h**3 + 8*h + 2*h**2 - 6*h to the form j*h**2 + i + c*h + o*h**3 and give o.
-36
Rearrange -153*x - 325 + 325 to f*x + c and give f.
-153
Express (-c + 0 + 0)*(-138 - 101 - 98) in the form u + w*c and give w.
337
Express 3*l**3 - 69*l**4 + 11*l**4 - 11*l**4 - 1 - 44*l**4 - l**3 in the form t*l**4 + p + n*l + h*l**3 + b*l**2 and give t.
-113
Express -2 - 331*s + 5 - 4 - 125*s - s as g*s + u and give u.
-1
Rearrange (1 + 0 + 0)*(313*z - 36*z - 65*z) to the form b + d*z and give d.
212
Express -2330*q**2 - 760*q**2 + 391*q**2 as u*q + y*q**2 + d and give y.
-2699
Express -20*j + 19*j**3 + 21*j - 15*j**3 - 87*j**4 + 2*j**2 in the form n*j**4 + m*j**2 + q*j**3 + u*j + c and give q.
4
Rearrange 16*z**2 + 4*z**2 + 17*z**2 to the form t + f*z + v*z**2 and give v.
37
Express (-3 + 4 - 3)*(-2*h + 3*h + 0*h)*(3 + 1 - 6)*(18 + 22 - 12)*(-3 - 2 + 2) as s + x*h and give x.
-336
Express (-2*v**2 + 5*v**2
|
{
"pile_set_name": "DM Mathematics"
}
|
l - 2 for p.
-1
Let k = 18 + -6. Let i = k + -8. Let x(q) = -q**3 + 5*q**2 - 13. Let a be x(4). Solve -2*d - 16 = d + 4*h, i*d + 13 = a*h for d.
-4
Suppose 5*h - n - 4 = 2*n, -9 = -3*h + 4*n. Let w be 2/(-4 - (h + -4)). Solve -10 = -w*v + v + 2*r, 8 = 5*v + 4*r for v.
4
Let p = 64 - 60. Suppose 0 = y + 3*d + p, 3*y + 5*d = -3 - 1. Solve -y*g + 6 = -r, -5*g = -3*g - 4*r + 6 for g.
5
Suppose 4*z + 4*u - 8 = 0, -u - 15 = -13. Solve v - c = 2*v - z, 5*v = 5*c for v.
2
Let z(t) = 2*t + 3. Let s be z(4). Let j(y) = y - 12. Let n be j(s). Let u = n + 1. Solve -r = -3*g - 8 - u, -2*g + 5*r = -12 for g.
-4
Suppose 2*o + 16 = 3*o. Let z = o + -6. Suppose y - 5 + 3 = 0. Solve 2*f - x = -y*x, 0 = f - 2*x - z for f.
2
Let r = 368 - 366. Solve 0 = -4*z - 2*j - r, 3*z - 6*z = -3*j - 12 for z.
1
Suppose 2*t - 22 = 3*y, 4*t - 4*y = -2*y + 28. Suppose p = 2*n - t, -5*n = 5*p - 31 - 19. Solve 0 = -2*r + 2*b + b - 23, -45 = 5*r - n*b for r.
-4
Suppose -3*t - 4*n - 40 = 0, 5*n = -4*t + 4*n - 36. Let v be 48/t*15/(-18). Solve 5*m + 1 = -2*i, -3*m - v*i = m + 11 for m.
1
Let t(r) = r**3 - 50*r**2 + 90*r + 291. Let j be t(48). Solve 5*m + 21 = 2*d - 4*d, 2*m + 15 = -j*d for d.
-3
Let h = 16 - 11. Suppose -3*q + 2*i = 4 - 0, 10 = h*i. Solve q = -3*w - b + 15, 0*w - w + 5*b = 11 for w.
4
Let p = -6 - -8. Suppose -p*v - 12 = -6*v. Let m be (-1 - 2) + v - -2. Solve -2 = m*s, f + 2*f + 2*s + 17 = 0 for f.
-5
Let n be (5 - 65/5) + 8. Solve -5*c + 10*c - 4*k + 7 = n, k = 4*c - 1 for c.
1
Let b = 6 + -5. Let f be ((-4)/(-1)*1)/b. Suppose -12 = -5*a - 32, -4 = -2*h + a. Solve -4 = -f*n - 3*q, 0 = n - h*q - 3*q - 1 for n.
1
Let h(q) = q**3 - q**2 - 12*q + 10. Let c be h(5). Solve -5*y = -5*f - c, 15 = y - f - f for y.
5
Suppose 2*w + 3*d - 6 = 0, -2*w = w - d - 9. Suppose -w*n = -7*n + 12. Solve 2*b + 21 = 5*o, 11 + 1 = -n*b + o for b.
-3
Suppose -39 = 28*h - 347. Solve -t + 8 - 7 = -b, 3*t = -4*b - h for b.
-2
Suppose -23 = -t + 5*j - 13, 5*t - 10 = 5*j. Solve 0 = 4*b + z - 0 + 2, t = -3*b - 2*z + 1 for b.
-1
Let m be ((-3)/(-2))/((-15)/(-50)). Suppose -5*f = m*j - 95, f + 29 = 3*f + 5*j. Solve 2*s + 12 + 16 = 4*c, -3*s + 2*c - f = 0 for s.
-4
Suppose -3*s + 33 = c + 2*c, -7 = -s - 2*c. Solve r + 3 = 4*g, -4*g = -5*r - 7*g - s for r.
-3
Suppose -3*w - w - 3 = p, -12 = 4*p. Let u be 6 + -6 + 0 + w. Solve u = -3*k + 7*k + 5*c - 25, 0 = 5*k - 2*c + 10 for k.
0
Let x be 11 + -1 + 4 + -4. Suppose 7*i - 45 + x = 0. Solve 0 = -2*f - 4*a + 5 + i, -4*a = -2*f - 14 for f.
-1
Suppose -3*q - q = 0. Let u be 6 - (2/(-1) - -2). Suppose 2*p = -4*o + 16 + u, 2*o - p - 9 = 0. Solve q = -o*c - 0*c - t + 9, 0 = -2*t + 8 for c.
1
Suppose 0 = 2*s + 3*x - 18, 0*s + 2*x = 4*s - 4. Solve 3*m + 17 = b, -s*m - b = 2*m + 15 for m.
-4
Suppose -3*x + 12 - 6 = 0. Let t(j) = j**3 + 6*j**2 + j - 20. Let b be t(-5). Solve 2*p - 1 = 3*w, b = x*w - p + 2*p - 11 for w.
3
Let j(f) = f + 2. Let h be j(-7). Let b(v) = v**3 + 4*v**2 - 6*v + 1. Let d be b(h). Suppose 151 = -k + 155. Solve 2*w - d = 4*t - 0*t, k*w = -5*t + 12 for t.
0
Let v = -346 - -353. Solve -3*a + v = -4*q + 3*q, 2 = q for a.
3
Suppose -a = -5*q + 16, -5*a - 4 = -a - 5*q. Let k be 1/(-4) - (-33)/4. Let l = -4 + k. Solve -8 = -l*h + a*x, -5*h = -0*h + 4*x + 26 for h.
-2
Let m = -119 + 122. Solve -3*z + 13 = 7*n - m*n, 0 = z - 2*n - 1 for z.
3
Let k be -6*((0 - -3) + -4). Suppose 4*z = k*z. Solve -5*c + c = -q - 15, 3*c - 3*q - 18 = z for c.
3
Let g = -55 - -58. Suppose z - 12 = -2*l, -3*l + l + 16 = 2*z. Solve -g*p = -o - 17, -z*o + 4*p - 53 = -17 for o.
-5
Suppose 4*k = -a + 11, 2*k + 4*a - 184 = -168. Solve -8 = 4*p - 2*h, -k = -4*p + h - 10 for p.
-2
Let b be -2 + -1 - (7 + -13 - 7). Let x be (27 - b) + (1 - -2). Solve -3*j = q - 7*j - x, 3*q - 5*j - 25 = 0 for q.
0
Suppose 10 = 3*f + 2*i - 4*i, 0 = 4*f + 5*i + 2. Let l = -7363 - -7368. Solve -5*n - l = -5*r, -f*r = r - n - 11 for r.
5
Suppose -4*y - 56 = -4*f, 4*f - 5*y = 1 + 57. Suppose -165 = -67*p + 34*p. Solve -p*h - 18 = 4*n, -5*n - f = 3*h - 2*n for h.
-2
Let b(i) = i**3 - 7*i**2 + i - 2. Let t be b(6). Let u = 38 + t. Solve -4*p = -a + 7, -p - u = -a + 2*p for a.
3
Let f = -1144 - -1146. Solve -3*s = s + 2*i - 26, -2*s - f*i + 18 = 0 for s.
4
Suppose 9*o + 62 = 4*o + 2*w, -4*o - 51 = -3*w. Let r = -8 - o. Let p = 4 + r. Solve 5*n - 5*j = 15, 0 = 3*n + 3*j + 1 + p for n.
0
Let f(y) = -y**2 - 11*y + 7. Let q be f(-11). Let n = q + -4. Let t = 5 - n. Solve -p = -t*h + 6*h - 14, -16 = -2*p - 5*h for p.
-2
Let g be 2*(-9 + (-92)/(-8)). Solve -g*s - 5*p - 7 - 18 = 0, -5*p = -3*s - 7 for s.
-4
Let i be (6/(-5))/((-21)/35). Solve 0 = -i*f + f + 4*r - 2, -5*f + 3*r = -7 for f.
2
Suppose -292 = -8*x - 20. Suppose f + 44 = 3*f. Let y = x - f. Solve 4*t + y = -4*q, 3*q + 2 + 2 = 2*t for q.
-2
Let h be (-4)/14 + 110/(-7). Suppose -1 - 5 = -p. Let u be (-21)/14*h/p. Solve -f + 5 = 4*f - 2*y, 0 = u*f + 3*y - 4 for f.
1
Let u be 6/(-2) - (-4 + -1). Let m(i) = -9 - 7*i + u*i - 6*i + 12*i. Let j be m(13). Solve 0 = 2*k - b + j*b + 5, 4*b = 2*k - 2 for k.
-1
Let h be -4*(-15)/140*(8 - 1). Suppose 21 = f - 3*x, -3*f - h*x + 21 = -2*f. Solve -4*k - 16 = -5*y + f, -3*k = -3*y + 24 for k.
-3
Suppose 12 = 2*j + 2*m, -j - 25*m = -26*m - 2. Solve j*x + 4*i = 2*x + 20, 2*x - 10 = -2*i for x.
0
Let t(o) = -14*o + 5. Let q be t(0). Solve 0 = -l + 2*j + q - 0, l + 4*j = 5 for l.
5
Let j(v) = v**2 + 2*v + 2. Let c be j(-2). Suppose c*s = 7*s. Suppose 4*u + 5*q = -25, u - 3*u - 5*q - 25 = s. Solve -h + 1 = -0*w - 2*w, 3*h + 3 = u for w.
-1
Let c(u) = -u**3 + 7*u**2 - 6*u + 8. Let s be 4/(4 - 0)*6. Let q be c(s). Let x = 13 - q. Solve 0 = -x*i + 3*f + 8, -i - 3*f - 16 = -8*f for i.
4
Suppose 0 = 2*b + 3*p + 4, -2*p = 3 + 5. Solve 4*z - b*q + 8 = 2*z, 5*z + 20 = q for z.
-4
Let n(p) = p - 3. Let b(q) = 2*q - 7. Let t(j) = -4*b(j) + 9*n(j). Let k be t(5). Let c = -8 - -10. Solve 25 = 5*u - 3*m, -c*m + 22 = u - k*m for u.
2
Suppose -17 = q + 4*p - p, 0 = 4*q - 3*p + 113. Let n = 30 + q. Solve -n*x + y = -4, x - 2*y = -6*y + 18 for x.
2
Let a(t) = -5*t**2 + 17*t - 2. Let g be a(3). Solve -4*j = 4*r - 5 - 7, 0 = r + g*j - 15 for r.
-1
Let d = -4 + 9. Suppose -12 = -9*k - 66. Let u be k/((-11)/22 + (-6)/4). Solve u*g = -p - 14, 14 = 3*p - 0*p - d*g for p.
-2
Let f = 1294 - 1280. Solve 4*s + 0*s = x + f, 2*x = -s + 8 for x.
2
Suppose 0 = -5*c + 3 + 17. Suppose 0 = c*g + 40 - 44. Let i be 0 - 0/(0 + -3). Solve r + 2*m + g = 3*m, i = 5*r - m + 5 for r.
-1
Let i = 102 + -99. Let r = 27 - 24. Solve r*f + 4*p + 3 = -12, -i*f - 5*p = 18 for f.
-1
Suppose -4*k = -0*k - 24. Suppose -10*u + k = -7*u. Solve -u*d + a = -0*d - 1, 4 = d - 4*a for d.
0
Let t(m) = 2*m**2 + 99*m + 734. Let k be t(-9). Let i be 20/(1*(0 - -1)). Let l = i - -3. Solve l = -4*a + 2*f - f, -k*a - 40 = -5*f for a.
-5
Suppose -7*a = -3*a + 88. Let i = a + 32. Suppose 7*p = 5*p + i. Solve -2*x - 2*k + 0*k + 20 = 0, 5*k = p*x for x.
5
Let k(h) = h**2 - 7*h + 8. Let c be k(6). Let w = -173 - -176. Solve -w*f = 5*v + 7, 4*v + 10 + 0 = c*f for v.
-2
Let t = -474 + 480. Suppose -w - 3*r = 0, 2*r = r. Solve 5*c + 25 = w, -b - c + 23 = -t*c for b.
-2
Suppose -2*q - q + 269 = 2*o, -485 = -5*q + 4*o. Let v = -85 + q. Solve 4*k - 4*b = v, 0*k - 4*b = -2*k for k.
4
Suppose -10 = 4*t - 6*t. Suppose -b + 27 = t*l, -2*b + 0*b + 43 = -l. Solve 3*v - 2*z - b = 0, -5*v = -2*v + 5*z + 13 for v.
4
Let o(r) = r**3 - 9*r**2 + 9*r - 5. Let b be o(8). Let v = 9 + -10. Let d = 6 + v. Solve b*w - 11 = -d*x + 1, 5*w = 5*x - 20 for w.
-1
Suppose u - 227 = -216. Solve o = g, -3*o - 4*g + 10 = -u for o.
3
Let g(c) be the second derivative of -1/20*c**5 + 0 + 5/6*c**3 - 1/12*c**4 - 2*c + c**2. Let i be g(-3). Solve 2*h = -2*w - 4 - 0, 0 = -i*w + 3*h - 2 for w.
-1
Suppose -f - 15*j = -18*j + 7, 3 = -f + 2*j. Solve 4*g + x - 10 = f, 35 = 3*g - 4*x for g.
5
Let m = 34 + -34. Suppose -5*t = 3*b - 37, 3*t - 5*b + 2 + 3 = m. Solve -3*i + 6 = 0, 1 = -g - 2*g + t*i for g.
3
Let f = 2 - -1. Let j be (-2)/8 + (-21)/(-4). Let o = -1583 - -1604. Solve -o + 4 = s + j*v, 3 = -f*s - 3*v for s.
3
Suppose 15*p = 16*p - 2. Solve 4*y + 6 = -r - r, 3 = -y - p*r for y.
-1
Let s be -1*(16/(-5) - -3)*5. Suppose -s + 3 = -2*f + 2*w, 4*w - 16 = 0. Solve 3 - 1 = -j - 4*c, 0 = j - f*c + 2 for j.
-2
Suppose -15 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
ify -1*sqrt(4608) + -2 + 0 + (((sqrt(224) - sqrt(224)*2) + sqrt(224))*-6)/((sqrt(77) + 2*sqrt(77))/sqrt(11)) + -3.
-48*sqrt(2) - 5
Simplify (-4*2*sqrt(91) - (-5*(-3*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91)))/(5*((-2*sqrt(567) + sqrt(567) + sqrt(567))*-6 + sqrt(567))).
-22*sqrt(13)/45
Simplify (3*2*(2*(sqrt(72) - sqrt(72)*1) + -2*(0 + sqrt(72) - sqrt(72)) - (-5*(sqrt(72)*1 - sqrt(72)) + sqrt(72) + -5*2*sqrt(72))))**2.
209952
Simplify 3 + ((-4*2*sqrt(228) - (sqrt(228) + sqrt(228)*-2)*5)*6)/(((-1*sqrt(300))/sqrt(5))/(sqrt(200)/sqrt(10))).
3 + 36*sqrt(19)
Simplify -6*(4 + -4*(sqrt(125)/sqrt(5) + sqrt(25))/sqrt(5) - (5*sqrt(5)*-1 + (sqrt(60) - sqrt(60)*-4)/sqrt(12)))**2*1.
-2016 + 384*sqrt(5)
Simplify (((sqrt(2695) + 1*sqrt(2695) + sqrt(2695))*-2*1)/(sqrt(500) + -2*sqrt(500)*2 + sqrt(500) + sqrt(500) + -5*(sqrt(500)*1 - sqrt(500))))**2.
4851/25
Simplify (-5*(5*(sqrt(68) + -2) + sqrt(68) + -1 + -5 + 2*sqrt(68)*-3 + 0) + 3)**2.
6889
Simplify (((sqrt(19) + 0)*3 + -1)*-3 - ((sqrt(152)/sqrt(32) - (sqrt(475)*-2 - sqrt(475))**2) + -1))*6.
-57*sqrt(19) + 25674
Simplify ((sqrt(180) + sqrt(180) + 1*sqrt(180) - sqrt(180))/sqrt(6))/(sqrt(6) - 3*sqrt(24)/sqrt(4)) + ((sqrt(640)*1)/sqrt(2)*5)**2 + 2.
-sqrt(5) + 8002
Simplify -5 + -1 + (4 + sqrt(1100) + (sqrt(1100)*3 + 5)**2 + sqrt(1100) - (-1*3*sqrt(1100) + 2)).
350*sqrt(11) + 9921
Simplify ((3*sqrt(270)*-3)/(sqrt(45)/(3*sqrt(5))))/((-3*sqrt(80)*4)/(sqrt(8) - 2*sqrt(8)*4 - sqrt(8))).
-18*sqrt(3)
Simplify (-4 + (sqrt(2736) - (-1 + sqrt(2736) + -2))*1 + 4 + 5)**2*4.
256
Simplify 3*((sqrt(108) - (sqrt(108)*2 + 3 + sqrt(108))) + (-5*sqrt(108)*1)**2 + -2)*-5 + 3.
-40422 + 180*sqrt(3)
Simplify (1*(-3 + (sqrt(432))**2 + -4 + 2) + -4)*1.
423
Simplify 2 + -1 + sqrt(612) + 1 + sqrt(612) + -4 + 5*(-4 + (1*sqrt(612)*-4 + sqrt(612))**2) + 4.
12*sqrt(17) + 27522
Simplify -2 + 3*(6*(sqrt(2) + 2 + 2) + -1*-2*(sqrt(2) - (sqrt(4)/sqrt(2))**2)).
24*sqrt(2) + 58
Simplify (((-2 + sqrt(80)*2 - (sqrt(80) + -1 + sqrt(80) + 1)) + 1*sqrt(80)*5*-2)*5)**2.
4000*sqrt(5) + 200100
Simplify (-3*6*(-2*sqrt(84)*-5 - (sqrt(84) - -2*sqrt(84))*-5)/(sqrt(84)/((sqrt(7) - sqrt(77)/(2*sqrt(11))) + sqrt(7))))**2.
3189375
Simplify -5 + ((sqrt(2) + 3*sqrt(2))*6*-6)**2 + (sqrt(242)*1*-6)**2 + 1.
50180
Simplify sqrt(33)/(sqrt(3)*2) + sqrt(11) - 4*(sqrt(11) + sqrt(11) + 0) - (-3*(sqrt(44) + (0 + sqrt(44))*-3))**2.
-1584 - 13*sqrt(11)/2
Simplify ((-1*(sqrt(85) + (sqrt(85) - 3*sqrt(85))) - sqrt(85)) + (sqrt(85) - (sqrt(85) - sqrt(85)*-1))*-6)/((sqrt(6480) + sqrt(6480)*1)*1).
sqrt(17)/12
Simplify 1*(sqrt(192) + 2 + sqrt(768) + -1)**2 - (4 + (sqrt(9) + (-2*sqrt(900) + sqrt(900) + sqrt(900) - sqrt(900)) + sqrt(9))/(sqrt(192)/sqrt(4))).
50*sqrt(3) + 1725
Simplify ((sqrt(2673) - sqrt(2673)*2 - sqrt(33) - sqrt(33)) + -3*sqrt(2112) + sqrt(2112))/(sqrt(162)/((sqrt(36)/sqrt(2) + sqrt(18))/sqrt(3))).
-18*sqrt(11)
Simplify ((sqrt(120) + 2*sqrt(120)*4)/(sqrt(6) - sqrt(12)/sqrt(2)*-3))/(-5*(sqrt(1440) + sqrt(1440)*2 + sqrt(10))*1).
-9*sqrt(2)/740
Simplify -5*(1*(sqrt(15)/sqrt(405) + (sqrt(486)/sqrt(2))/sqrt(9)) + -2)*-3.
-30 + 140*sqrt(3)/3
Simplify (-6*-6*((0 + sqrt(1573) + 2 + 3)*-3 + 5)*3)**2.
7698240*sqrt(13) + 166293648
Simplify (1*sqrt(209)*-3 - (4*-1*sqrt(209) + sqrt(209)))/(((sqrt(99) - 2*sqrt(99))*-3 + sqrt(99) + sqrt(99))/((sqrt(108)/sqrt(3))/sqrt(4))).
0
Simplify (sqrt(90)/(sqrt(30)/sqrt(5)))/((sqrt(120)/sqrt(5))/sqrt(8)) + ((3*sqrt(605))**2 + -5 - (-3 + sqrt(605))*-5).
56*sqrt(5) + 5425
Simplify -4 + (5*(sqrt(76) - (sqrt(76) - (((sqrt(76)*3 - sqrt(76))*2 - sqrt(76)) + sqrt(76)))))/(5*sqrt(400)*1).
-4 + 2*sqrt(19)/5
Simplify 5 + (-5*(-1 + sqrt(175))*-2 - (-4*(sqrt(175) + sqrt(175) + 1)**2 + sqrt(175))*2)*5.
1000*sqrt(7) + 27995
Simplify (-6*-4*(sqrt(3300) - -2*sqrt(3300)))/(6*sqrt(15)/sqrt(5) - sqrt(12)/sqrt(144)).
864*sqrt(11)/7
Simplify (-5*(sqrt(117) - (sqrt(117)*-1 + sqrt(117))) + 4*sqrt(117)*1)/(2*(sqrt(9) - sqrt(36)) - 3*(sqrt(9) - sqrt(36))).
-sqrt(13)
Simplify ((sqrt(2448) + (0 + sqrt(2448) - sqrt(2448)) + 4 - (-3 + sqrt(2448) + -1*sqrt(2448)) - ((sqrt(187)*-1)/sqrt(11) + 4 + -4))*-5)**2.
4550*sqrt(17) + 73050
Simplify -2 + (4*sqrt(1000) + sqrt(40) + sqrt(40))/sqrt(8) + (sqrt(45)*1)**2*3 + -4 + 3.
22*sqrt(5) + 132
Simplify 1 + (-5 + sqrt(52)/sqrt(4) + ((1*sqrt(156))/sqrt(12) - sqrt(13)) - (-2 + sqrt(1300) + sqrt(13) + 5 + sqrt(637))**2).
-4225 - 107*sqrt(13)
Simplify (-3*sqrt(612) + -3 + 5 - (2 + 5 + -1 + sqrt(612) + sqrt(612)))**2.
240*sqrt(17) + 15316
Simplify 3 + ((4 + -3 + sqrt(425) - (-1 + sqrt(425) + 1)) + (sqrt(425) + -3)*5 + (sqrt(425) + -1 + sqrt(425))*2)**2.
-1440*sqrt(17) + 34684
Simplify (3*((sqrt(112)/sqrt(2) - sqrt(14))*2)/(4*sqrt(28)*1))**2.
9/8
Simplify (sqrt(275) + -1 + -1)**2 + (-1 + (2*sqrt(11))**2 - (sqrt(11) - (sqrt(33)/sqrt(3))**2 - sqrt(11))*1) - 5*5*-2*(sqrt(99) + (sqrt(99) + 0)**2).
130*sqrt(11) + 5283
Simplify 3 + 6*((sqrt(243) - (sqrt(243) - (sqrt(243)*2*-6 + sqrt(243)))) + 1*sqrt(243)*6)/(6*(sqrt(900)*-1 - sqrt(900) - sqrt(900))).
sqrt(3)/2 + 3
Simplify ((5*sqrt(2299)*3 - (5 + sqrt(2299)*4)) + (sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 2)*6) - 5*(2 + sqrt(2299))))**2.
-1188*sqrt(19) + 9925
Simplify (sqrt(99) + 6*(sqrt(99) + 1*sqrt(99)) + 5*((sqrt(99) - (1*sqrt(99) - sqrt(99)) - sqrt(99)) + sqrt(99)))/(-2*-2*(-1*sqrt(441) + sqrt(441) + sqrt(441))).
9*sqrt(11)/14
Simplify 1 + (((sqrt(147) - (1*sqrt(147) + 0) - sqrt(147))**2 - sqrt(147))*3 + 5*((sqrt(3) + -1)*4 - (-1 + sqrt(147))))*6.
-216*sqrt(3) + 2557
Simplify ((-1*-1*sqrt(144))/(6*sqrt(18)/sqrt(3)))/(((sqrt(224)*2 - sqrt(224))*-3)/sqrt(7)) + -1.
-1 - sqrt(3)/36
Simplify ((sqrt(6480) + (sqrt(6480) - 1*sqrt(6480)))*6)/((sqrt(324)*1 + sqrt(324))*3 + sqrt(324)) + 0.
12*sqrt(5)/7
Simplify 0 + (((sqrt(1008)*-2 + sqrt(1008))*3*-1 - (-5 + sqrt(1008)*-2*-2))*-6)**2.
-4320*sqrt(7) + 37188
Simplify -3*((sqrt(3) - (sqrt(3) + -1)*1) + ((sqrt(27)*-2 - sqrt(27))/sqrt(9))**2 - 1*(sqrt(243) + sqrt(243)*2)) + -3.
-87 + 81*sqrt(3)
Simplify 0 + ((4*sqrt(95)*1 + (sqrt(95) - -1*sqrt(95)*-2))/(-1*sqrt(15)/sqrt(3) - (sqrt(5) + sqrt(80))*-4))**2.
9/19
Simplify (5*(1 + sqrt(425) + 2)*4)**2 + (sqrt(153)*-1*-4)/(sqrt(1089) + -2*sqrt(1089) + sqrt(1089) + sqrt(1089)).
132004*sqrt(17)/11 + 173600
Simplify (1*sqrt(1500) - sqrt(1500) - -2*(sqrt(15)*1 + sqrt(15)))/(sqrt(5) + (sqrt(360)/sqrt(6))/sqrt(12) + sqrt(35)/sqrt(7)*-1).
4*sqrt(3)
Simplify -3 + sqrt(175) + -1 + -2 + 3 + sqrt(7) + 2 + sqrt(77)/(sqrt(99) - sqrt(11)) + 3.
2 + 13*sqrt(7)/2
Simplify (-2*sqrt(700) + 4 + 3 + 2 + (-1 + sqrt(700) - sqrt(700))*6 + 1 + sqrt(700) + sqrt(700) + 2 + sqrt(700))**2.
120*sqrt(7) + 736
Simplify (sqrt(114) - (sqrt(114) - ((2*sqrt(114) - sqrt(114)) + sqrt(114))*3))/(1*sqrt(6)*-5) + (sqrt(19) + 5 + sqrt(684) + sqrt(19) - (2*(sqrt(19) + -2))**2).
-87 + 114*sqrt(19)/5
Simplify -4 + (sqrt(119) + (sqrt(119) + sqrt(119)*1)*1 + (sqrt(119)*-1 - sqrt(119))*-3)/((3*sqrt(2688) + sqrt(2688))/sqrt(6)).
-4 + 9*sqrt(17)/32
Simplify (sqrt(693)/(-2*sqrt(1584) + sqrt(11) + sqrt(11)) - sqrt(1008)*-1*4) + -2 + -5.
-7 + 1053*sqrt(7)/22
Simplify (sqrt(162)*-1 + 2)**2 + 5 + 1 - (-6*(-3*(sqrt(162) + 1) - (sqrt(162) + 0 + sqrt(162) + -1)))**2.
-145772 - 6516*sqrt(2)
Simplify (2*(sqrt(216) - (sqrt(216) + sqrt(216)*-2 + sqrt(216))))/(sqrt(192)/sqrt(4)) - (-1 + -2*sqrt(882) + sqrt(882) - (1 + sqrt(882) + 0)).
2 + 45*sqrt(2)
Simplify ((sqrt(1344) + 2*sqrt(1344))*3 + (sqrt(1344)*2 + sqrt(1344))*-4)/(-1*sqrt(7)*2 - (sqrt(1008) + (sqrt(1008) - 5*sqrt(1008)))).
-12*sqrt(3)/17
Simplify -2*(-3*(-1*(1 + 4*sqrt(684)) + (sqrt(684) + -2 + sqrt(684))*-6 + -2))**2.
-3153330 + 31104*sqrt(19)
Simplify (sqrt(45)/((sqrt(21)*3)/sqrt(7))*-3)/(-1*-4*sqrt(720)*5).
-sqrt(3)/240
Simplify 2*(-6*(5*((sqrt(68) + -1)**2 - sqrt(68)) + 2*2*sqrt(68) + 0) + 1).
-4138 + 264*sqrt(17)
Simplify 5 + (5*((sqrt(637) + (sqrt(637) - (sqrt(637) - sqrt(637)*2)) + -3)*-5 - (4*(sqrt(637) - (sqrt(637) - sqrt(637)*2)) - (3*sqrt(637)*2 - sqrt(637)))))**2.
-94500*sqrt(13) + 5165330
Simplify ((2*sqrt(75) - sqrt(3)) + -5 + sqrt(15)/sqrt(5) - (-1*sqrt(270) - sqrt(270))/sqrt(10)*-3)*5.
-40*sqrt(3) - 25
Simplify 3*-2*sqrt(1300) - (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 0) - sqrt(1300))*-3) - (sqrt(13) + sqrt(39)/(sqrt(3)*3) - sqrt(208)*1).
-292*sqrt(13)/3
Simplify -3 + ((2*sqrt(588))/(sqrt(64)*1
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
False
Suppose 4*a - 8*a = -1884. Suppose 4*c - c - a = 0. Is c prime?
True
Let g(d) = d**2 + 5*d - 4. Let t = -11 - -5. Let j be g(t). Suppose 4*u + 3*b = 284, -3*u - 7*b = -j*b - 202. Is u a prime number?
False
Let i(b) = -4*b - 12. Let k be i(-8). Suppose 2*h = k + 26. Is h a composite number?
False
Suppose 0*l + 4*l - 2*i - 1734 = 0, -2*l + 849 = 5*i. Let w = -256 + l. Suppose 0 = 2*z - 4, w - 69 = 5*k + z. Is k prime?
False
Let b be 90 - ((-18)/3)/2. Let s = b + 236. Is s a prime number?
False
Let t be (-1)/(1 - (-9)/(-6)). Suppose -w - t*x + 4*x = -173, -w + 4*x = -183. Is w prime?
True
Suppose 2*u - 461 = 5*o, -7*o + 5*u = -2*o + 455. Let n = 136 + o. Is n prime?
True
Is 1*12437 + (-8 - (-18 + 8)) composite?
True
Let o(k) = k**2 - 2*k - 2. Let x be o(10). Suppose -2*d + x = 2. Is d composite?
True
Suppose 2*l - 79 = 451. Is l a prime number?
False
Suppose 0 = o + 4 - 3. Let h be 1/(3/6) + o. Is (-7)/(-4)*(5 - h) a prime number?
True
Let w(t) = -t**3 - 7 - 3*t**2 - 2*t**2 - 5*t + 16*t**2. Is w(6) composite?
True
Let l = 2472 - 1435. Is l prime?
False
Suppose 0 = -7*q + 10*q - 2181. Is q a composite number?
False
Suppose -3*b + 4*b = -21. Let g = 61 + b. Suppose -g = 2*y - 110. Is y composite?
True
Let l(y) = y + 4. Let u be l(3). Let i be (0 - u)*12/(-14). Let s = i - -4. Is s a composite number?
True
Let d = 5 - 1. Suppose 3*a = d*u + 6, a + 0*a - 4*u = 2. Is (15 - 1)/(a/3) a prime number?
False
Let k = -18 + 37. Suppose 0*y - k = -y. Is y composite?
False
Suppose 2*k - 6 + 2 = 0. Suppose 5 = 3*h + k. Let s(u) = 48*u**3 - u**2. Is s(h) prime?
True
Let b = 2 + 1. Suppose -5*v = -b*h + 396, 0 = -2*v - 6. Is h prime?
True
Let l = 6831 - 3238. Is l prime?
True
Let q = 16 - 9. Suppose -47 = -s + q*g - 3*g, -3*s - 4*g + 141 = 0. Is s composite?
False
Let h = 1151 + -183. Is (h/(-12))/(2/(-3)) composite?
True
Let f be (11*1)/(5/15). Let x = 23 - f. Let s = x + 33. Is s a composite number?
False
Let d(p) = -76*p - 7. Let r be -3 + 1 - 6/2. Is d(r) composite?
False
Let v = 1411 - 420. Is v a composite number?
False
Let p = 1874 - 1087. Is p a composite number?
False
Suppose 2*k - 4*l - 1166 = 0, -5*k + l + 2957 = 5*l. Suppose -5*w + 726 = -k. Is w a prime number?
True
Let f(n) be the third derivative of 7*n**5/60 - n**4/8 + n**3/6 + n**2. Let c be f(-8). Suppose 2*q + c = 3*h, -h + 2*q + 632 = 3*h. Is h prime?
False
Is (-14)/35 + (-2034)/(-10) a prime number?
False
Suppose -2*g + 4*g - 16 = 0. Suppose -3*v = -g*v + 220. Let o = v + -9. Is o prime?
False
Let b = -2 + 5. Suppose 9 = 3*j, b*j - 6 - 15 = -4*f. Suppose 14 = 4*v - f*v. Is v a prime number?
False
Suppose 18 = 5*w - 3*w. Suppose 3*x + w = 0, -3*s - x + 243 = -6*x. Suppose 2*k + 0*k = s. Is k a prime number?
False
Suppose 0 = 2*f - 3*f + 413. Is f prime?
False
Let k be (-1062)/(-8) - 1/(-4). Let w be k/5 - 6/(-15). Let r = w + -4. Is r prime?
True
Let i(a) = 14*a**2 - 4*a - 2. Let h be i(4). Suppose -28 = -p + 5*j + 51, -2*p - 2*j + h = 0. Suppose 4*g - 2*q = 318, -3*g - 2*q + p = -122. Is g prime?
False
Let m = -3698 - -7294. Suppose 0*r = 2*r - m. Suppose -5*u + r = 713. Is u a composite number?
True
Let q = 275 - 90. Is q composite?
True
Let k(x) = -4*x**3 + x**2 + x + 1. Let j be k(-1). Suppose 367 = j*s + 57. Suppose -295 = -3*q + s. Is q composite?
True
Suppose -60 - 127 = -o. Is o a prime number?
False
Let r be 1*-2*2/4. Let k be 3/(-3)*r*-19. Let v = -9 - k. Is v a composite number?
True
Suppose -5*a = -11 + 1. Suppose u - 2*p - 893 = 0, 0*u - a*u = p - 1771. Is u a composite number?
False
Let l(b) = -88*b - 45. Is l(-16) composite?
True
Let h(r) = -3*r**3 + 3*r**2 - 4*r + 9. Is h(-5) composite?
False
Let l = -2 + 54. Let h = -19 + l. Is (h/(-12))/((-3)/84) a composite number?
True
Let h(j) = 225*j + 1. Is h(1) a prime number?
False
Let l = 1857 - 1316. Is l a prime number?
True
Suppose -q + 451 = -48. Is q prime?
True
Suppose -4*u = -3*w - 3, 2 = -5*w + 3*w + 4*u. Let y be w*(1 + 0) + 1. Suppose d = 3*a + 164, y = -d - 2*a - 0*a + 139. Is d a composite number?
False
Let q(z) = 2 - 2 - 3*z - 2*z**3 + z**3 + 2*z**2 + 2. Let w be q(4). Is (w/(-8))/(5/20) composite?
True
Let j(f) = -72*f - 19. Is j(-8) composite?
False
Let f = -6 + 2. Let h = 6 + f. Suppose p - 5*r - 30 = 0, h*r + 2 - 4 = -p. Is p composite?
True
Let a be (-81)/15 + (-4)/(-10). Is 2/a + 344/10 composite?
True
Let c be (3 + -2 - 1)/1. Suppose c = 7*k + 109 - 1250. Is k a composite number?
False
Let i(l) be the second derivative of -2/3*l**4 + 0 + 1/2*l**2 + 4*l - 1/10*l**5 + 1/2*l**3. Is i(-6) a prime number?
True
Suppose 3*p = -2*d + 1889, 2*d - 635 = -p + 4*d. Is p prime?
True
Let j = 23 + 0. Is j composite?
False
Let k = -173 + 250. Is k prime?
False
Let u be (-30)/4 - 27/(-18). Let t = 13 + u. Is t a composite number?
False
Let b(f) = f**3 - 2*f**2 - 2*f + 4. Let v be b(3). Let h = v + 8. Is h a composite number?
True
Let p = 411 - -130. Is p a prime number?
True
Let f be (-2169)/(-21) - (-4)/(-14). Let x = f + -36. Suppose v = 12 + x. Is v a composite number?
False
Let a(w) = 7*w**2 - 9*w + 1. Is a(-7) a composite number?
True
Is 6/27 - (-1900)/36 a prime number?
True
Suppose 5*h + 5*z - 432 - 308 = 0, 3*h - 445 = -2*z. Is h a prime number?
True
Let i be (-3 + 3)/(-2)*-1. Suppose i*z + 251 = q + 2*z, 753 = 3*q - 2*z. Is q prime?
True
Let c = -6 + 12. Let o(g) = 10*g - 1. Is o(c) prime?
True
Let b(v) be the first derivative of -v**7/840 + v**6/72 + v**5/120 - v**4/6 + v**3/3 + 2. Let g(j) be the third derivative of b(j). Is g(-3) a prime number?
False
Let s(l) = 10*l + 3. Let f(u) = u**3 - 3*u**2 + 2*u - 1. Let n be f(3). Is s(n) composite?
False
Is (-149)/((-32)/(-12) + -3) a prime number?
False
Let x(a) = -24*a**2 - 6 + 23 + 23*a**2 + 16. Is x(0) prime?
False
Suppose 14*l - 18218 = 836. Is l prime?
True
Suppose -i + 26 = 158. Is ((-1)/(-2))/((-3)/i) a prime number?
False
Let f = 3773 + -2262. Is f composite?
False
Let n(h) = 17*h**2 - 1. Let l be n(3). Suppose 3*u = -u + l. Let c = u + -27. Is c a prime number?
True
Suppose 5*l = -r + 5*r - 61, -2*l = 5*r - 101. Suppose 0*a + m = -a + 19, -a - 3*m + r = 0. Is a a prime number?
True
Let u(t) be the first derivative of -11*t**2 - 2*t**2 - 1 - 1 + 2*t**2. Is u(-1) a composite number?
True
Let q(m) = 26*m**2 - 2*m. Let w be q(-2). Let v = w - 71. Is v composite?
False
Let l(x) = -137*x. Suppose -2*a = -5*a - 9. Is l(a) composite?
True
Let l(v) = v**3 - 5*v**2 + 6*v + 7. Is l(5) prime?
True
Is (-8194)/(-3) - 6/36*2 a prime number?
True
Suppose 0 = -3*o + 5*d + 15, -2*d - 5 = 4*o + 1. Suppose o = 5*m - 64 - 321. Is m a composite number?
True
Suppose -p - 4*c - 4 = 3*p, 4*p + 3*c = 1. Suppose -p*b + 3*q + 8 = -q, 5*b = -5*q + 30. Suppose -5*y + 2*t + 1 + 113 = 0, 4*y - 80 = -b*t. Is y prime?
False
Suppose 0 = k - 7*k + 2694. Is k composite?
False
Let j = 13 - 5. Let f = -7 + j. Is f/(1*(-3)/(-33)) prime?
True
Suppose 0*u + 100 = -5*u. Let o = u - -71. Is o prime?
False
Let y be 3*(20/12 + -1). Suppose j = 8 + y. Is j a prime number?
False
Let m(o) be the second derivative of o**4/12 - o**3/2 - o**2/2 - 9*o. Is m(-6) composite?
False
Suppose -808 - 149 = -3*y. Is y a prime number?
False
Is (8/2 - 55)*-1 prime?
False
Let i(g) = g**2 + 4*g + 3. Let v be i(-3). Suppose -5*z + z + 316 = v. Is z prime?
True
Let k(i) = i**2 - i + 62. Let b = 4 - 4. Is k(b) prime?
False
Suppose 0*t = 4*t - 3*y - 191, 5*y = 2*t - 99. Suppose -2*o + 9*j + t = 4*j, 2*o + 4*j = 74. Is o prime?
True
Is (-13*223/(-2))/((-4)/(-8)) a composite number?
True
Suppose 2*r - 2*z + 183 = 521, 0 = 3*r - 2*z - 507. Is r composite?
True
Suppose 0 = 6*u - 188 - 664. Is u a composite number?
True
Let r be 10/4*18/15. Let n(x) = r*x + 1 - x + 0 + 2*x. Is n(3) prime?
True
Suppose -s + 1 - 11 = 0. Let k be 2/((s/3)/(-5)). Suppose 74 = 2*a - 4*q, k*a + 2*a - 178 = 3*q. Is a a composite number?
True
Let n be -10*-2*(-3)/4. Let v = n + 4. Let y = 280 + v. Is y composite?
False
Let n(s) = -s + 1. Let y be n(1). Suppose q = 10 - 5, 2*x + 2*q + 110 = y. Let m = x + 131. Is m a composite number?
False
Let w(c) = c**2 - c. Let a be 14/6 - 1/3. Let g be w(a). Suppose -21 = -g*z + 1. Is z a composite number?
False
Let c = 0 - -3. Let s(a) = a**2 + 2*a - 4. Is s(c) a composite number?
False
Suppose 4 = 4*l -
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let z = 242 + -167. What is the units digit of z?
5
Suppose 5*l + 22 = 92. What is the units digit of l?
4
Suppose -2*g = -4*g + 2*o - 2, -4*g - o = -21. Suppose -g*a = -5*u - 24, 3*a - 5*u = 12 + 1. Suppose 4*k = -3 + a. What is the units digit of k?
2
Suppose p + p - 19 = -3*r, -2*p + 5*r + 43 = 0. Suppose h = 5 - p. What is the units digit of (-4)/(-2)*-1 - h?
7
Suppose 3*w + 9 = -9. Let y(l) = -l**2 - 6*l + 2. Let p be y(w). Suppose -6*z + 44 = -p*z. What is the units digit of z?
1
Suppose -4*b = -3*n + 55, -b = n + 2*n - 50. What is the tens digit of n?
1
Let t(m) = -16*m + 9. What is the units digit of t(-4)?
3
Let r(b) = 19*b - 1. Let u be r(2). Suppose 0 = -4*d + 51 + u. Suppose 4*s - d = -3*q, -3*s - 7 = -q - 30. What is the units digit of s?
7
Let u(h) = -14*h**3 + 38. Let o(f) = -5*f**3 + 13. Let t(z) = -17*o(z) + 6*u(z). Let a be 0*(2/(-4))/(-1). What is the units digit of t(a)?
7
Suppose 0 = -5*d + 4*l + 115, 3*d - 148 = -5*l - 42. What is the units digit of d?
7
Suppose 5*o + 6 = 7*o. Suppose t + 2*t - 3*u - 63 = 0, u - 51 = -o*t. What is the tens digit of t?
1
Suppose -4*z - 30 + 6 = 0. Let k = 3 - z. What is the units digit of k?
9
Let p(h) = h**3 - 9*h**2 + 8*h + 2. Let j be p(8). Suppose j*z - 25 = -3*z. What is the units digit of z?
5
Let m(h) = h**3 + 6*h**2 - 5*h - 5. Let n be m(-6). Let p(s) = -s**3 + 10*s**2 + s - 7. Let x be p(10). Suppose -x*o - 2*o = -n. What is the units digit of o?
5
Let n(v) = v**3 - 13*v**2 + 5*v + 4. What is the tens digit of n(13)?
6
Let j(l) = 5*l - 4*l + 2*l. Suppose -2*q + 4 = -0*q. What is the units digit of j(q)?
6
Let z = -58 + 183. What is the tens digit of z?
2
Let m(l) = 2*l + 6. Let c be m(-3). Suppose c = -f + 20 - 2. What is the tens digit of f?
1
Let t(b) = -50*b + 6. What is the units digit of t(-2)?
6
Let y(p) = -2*p - 9. Let j be y(-8). Suppose -43 = -4*g - j. What is the units digit of g?
9
Let y = -12 + 19. What is the units digit of y?
7
Let j(k) = 24*k - 5. What is the units digit of j(3)?
7
Suppose -4*f = -3*i - 453, 224 = 6*f - 4*f - 2*i. What is the units digit of f?
7
Let z = 148 + -60. What is the tens digit of z?
8
Let w(n) = 5*n**3 + n**2 - n - 1. Let m be w(-1). Let d(h) = -5 + 27*h + 0 - 33*h + 0. What is the tens digit of d(m)?
1
Let l = 13 - -11. Let c = -16 + l. What is the units digit of c?
8
Let u = -103 - -410. What is the hundreds digit of u?
3
Suppose 3*b - 4*y = 534, -5*b - 3*y + 861 = -0*y. What is the hundreds digit of b?
1
Suppose 0 = -4*p - 0*p + 12. Let q be (-2 - (p + -3)) + 1. Let r(k) = -13*k**3 - k**2 + k + 1. What is the units digit of r(q)?
2
Suppose 0*p = 5*p - 95. Suppose -p + 7 = -4*s. Suppose s*i - 3 = a, -3*i + 21 = -a + 3*a. What is the units digit of a?
6
Suppose 34 + 17 = g + 3*d, 2*g - 122 = -2*d. What is the tens digit of g?
6
Suppose -12 = -2*v + 76. What is the units digit of v?
4
Suppose 18*r = 20*r - 50. What is the tens digit of r?
2
Suppose 0 = -3*q - 2*u + 6, -5*u + 8 = -7. Suppose 6*z = z + 45. Suppose -3*l = -q*l - z. What is the units digit of l?
3
Let u = -41 + 113. What is the tens digit of u?
7
Let u(x) = -x**2 - 7*x - 3. Let z be u(-6). Suppose -z*m + 6*m - 36 = 0. What is the tens digit of m?
1
Suppose 6*j - 5*v - 20 = j, v = 2*j - 7. Let c = j - -12. What is the tens digit of c?
1
Suppose -3*f - 2*l - l = -18, -3*l = 5*f - 40. Let u = f + 1. What is the tens digit of u?
1
Let m = -2 + 4. Suppose -5*l + 5 = 5*a - m*l, -5*a + l = -5. What is the units digit of -2*(a - (4 + -2))?
2
Let y be ((-136)/10)/((-4)/10). Suppose 4*r - 190 = -y. What is the units digit of r?
9
Suppose 8 = -k + 24. What is the units digit of k?
6
Suppose -24*f + 28*f - 152 = 0. What is the units digit of f?
8
Suppose -4*u - 666 = -5*h - 5*u, 4*u = 4*h - 528. What is the units digit of h?
3
Suppose -1 - 3 = -4*p. Let d(c) = -c - 2. Let h be d(-4). What is the units digit of 1/(h - (p + 0))?
1
Let n(v) = 2*v - 4. Let y be n(4). Suppose -y = 3*s - 97. What is the units digit of s?
1
Let s(o) be the third derivative of -o**4/24 - 2*o**3/3 - o**2. What is the units digit of s(-6)?
2
Let f = 76 + -35. What is the units digit of f?
1
Let u = -4 - -17. What is the units digit of u?
3
Let k = -9 - -14. Let i = k + 0. What is the units digit of i?
5
Suppose 5*d + d = 72. What is the units digit of d?
2
What is the hundreds digit of ((-1424)/32)/((-1)/8)?
3
What is the units digit of 10/(-1 - 5/(-4))?
0
Suppose 4*g - 5*l - 121 = 0, 3*g - 2*g + 2*l = 40. What is the tens digit of g?
3
Let n = -1 - -5. Suppose 0 = 3*t - n*t + 12. What is the tens digit of t?
1
Let a = 46 - 23. Suppose 2*k - a = 15. What is the units digit of k?
9
Suppose 2*y - 4*i = -2*y + 40, 5*y + 5*i = 0. Suppose -2*u + 0*u = d - 17, -71 = -4*d - y*u. What is the units digit of d?
9
Let t(q) = -q + 7. Let a be t(6). Suppose -a = -p + 1. What is the units digit of p?
2
Suppose 5 = 5*h + 2*k, 0 + 2 = -h - k. Suppose 0 = h*t + 2*t - 50. What is the units digit of 88/t + (-3)/(-15)?
9
Suppose -3*x + p = -152, 4*x + 4*p - 66 - 110 = 0. What is the tens digit of x?
4
Let i(d) = 3*d - 13. What is the units digit of i(6)?
5
Let t(k) = -8*k - 1. Let f be t(-1). Suppose -23 = -4*q - f. What is the units digit of q?
4
Let m(s) = s**3 - 9*s**2 + 14*s - 4. What is the units digit of m(8)?
4
Let p be ((-24)/10)/((-3)/10). Let d = p - 4. Suppose -19 = -n + 2*n - d*o, 3*o = 5*n + 10. What is the units digit of n?
1
Suppose 0 = 25*o - 23*o - 158. What is the tens digit of o?
7
Let c(n) = n**3 - 6*n**2 - n - 2. Let r be c(7). Suppose 0 - 15 = -3*a. Suppose 0 = -a*u + r + 5. What is the units digit of u?
9
Let f(y) = -y + 1. Let s be f(-4). Suppose 2*r - s = -k, -3*r + 4*k - 6 = k. What is the units digit of r?
1
Suppose -8*v + 17*v - 162 = 0. What is the tens digit of v?
1
Let n be (8/10)/(-2)*5. Let l = 2 - n. What is the units digit of ((-22)/3)/(l/(-6))?
1
Suppose 3*a + 0*p = -p + 37, -12 = -3*p. What is the units digit of a?
1
Suppose -m = 3, 34 = -5*x + 3*m - 6*m. Let j = -3 - x. Suppose -7 = -j*u + 23. What is the tens digit of u?
1
Let q(n) = -2*n + 72. What is the tens digit of q(-24)?
2
Suppose 0 = 2*g + 3*x + 2*x + 2, 5*g - 3*x = 26. Suppose 0 = g*k - 12, 2*q + k - 3*k = 20. What is the units digit of q?
3
Suppose 26*p - 33*p + 1589 = 0. What is the hundreds digit of p?
2
Suppose -3*y + 4*y - 4 = 0. Suppose u - 5*u = 2*t - 42, -54 = -y*u + 2*t. Suppose -p + u = 2*p. What is the units digit of p?
4
Suppose 26*b - 1866 = 20*b. What is the units digit of b?
1
What is the units digit of 36/126 - -3*(-109)/(-7)?
7
Let i(z) = -z - 6. Let g be i(0). Let l(t) be the first derivative of -t**2/2 - 4*t - 12. What is the units digit of l(g)?
2
Suppose 3*s + 2*l = 7, -2*l = s + 3*l + 15. Let u be -2 + (1 + s - -2). Let t = 8 - u. What is the units digit of t?
2
Suppose -9 = -5*k + 2*k. Suppose 0 = k*x - 148 + 46. What is the tens digit of x?
3
Let c(i) = -i - 2. What is the units digit of c(-6)?
4
Let n be ((-30)/4)/((-9)/24). Let t = n - 6. What is the units digit of t?
4
Let c be (-6)/21 - (-116)/14. Suppose u + 4*f = 6*f + c, 2*u - 22 = 2*f. What is the units digit of u?
4
Let g = -86 - -130. What is the tens digit of g?
4
Let n(y) = -5*y + 8. Let p(x) = -11*x + 17. Let k(g) = 13*n(g) - 6*p(g). Suppose 1 = -c + i - 1, i = 4*c + 2. What is the units digit of k(c)?
2
Suppose 6*j = 5*j - 8. Let h = j + 15. What is the units digit of h?
7
Suppose 0*i + 2*i - 2 = 0. Suppose -3*p + 4*z + i = -2, -z = 2*p + 9. Let j(x) = x**2 + x - 1. What is the units digit of j(p)?
5
What is the units digit of 168/20 - (-2)/(-5)?
8
Let i = 74 + -1. What is the tens digit of i?
7
What is the units digit of (-4)/(-24) + (-5)/(-6) - -14?
5
Let x = -297 - -509. What is the tens digit of x?
1
Let t be (-204)/(-33) - 4/22. Suppose -5*f = 2*y - 6, 2*y + f + f - t = 0. What is the units digit of y?
3
Suppose 8*i + 4 = 10*i. Suppose 0*b - i*b = -30. What is the units digit of b?
5
Let f = -32 - -8. What is the units digit of 2/6 + (-640)/f?
7
Let j(m) = 2*m**3 - 14*m**2 + 4*m + 3. Let d be (-7)/1*(-5 - -4). What is the tens digit of j(d)?
3
Let f(c) = c**2 + 4*c - 19. What is the units digit of f(-10)?
1
Let b(u) = -u**2 + 2*u + 20. What is the units digit of b(0)?
0
Let a = 6 + -16. Let h = 14 + a. Suppose -y = -h + 3. What is the uni
|
{
"pile_set_name": "DM Mathematics"
}
|
15
Three letters picked without replacement from gwgeigugi. What is prob of picking 1 w, 1 u, and 1 g?
1/21
Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {b: 1, h: 1, x: 1, d: 1, a: 1}.
1/10
Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {m: 1, v: 1, c: 3, s: 5}.
1/9
What is prob of picking 2 y when two letters picked without replacement from {g: 2, l: 1, y: 8, e: 5}?
7/30
Three letters picked without replacement from fqhffihhif. What is prob of picking 1 h and 2 i?
1/40
Three letters picked without replacement from {o: 1, s: 12}. What is prob of picking 3 s?
10/13
Calculate prob of picking 3 l when three letters picked without replacement from {l: 6}.
1
Calculate prob of picking 2 z, 1 t, and 1 b when four letters picked without replacement from vzbznbtvqzqbzzzqqzvb.
28/1615
Four letters picked without replacement from {m: 8, z: 2}. Give prob of picking 2 z and 2 m.
2/15
Three letters picked without replacement from cccccc. What is prob of picking 3 c?
1
What is prob of picking 1 j and 1 r when two letters picked without replacement from {r: 2, j: 3}?
3/5
Two letters picked without replacement from issgp. Give prob of picking 1 s and 1 p.
1/5
Two letters picked without replacement from cccccccccc. Give prob of picking 2 c.
1
Two letters picked without replacement from {i: 6, k: 1, y: 4, z: 2, c: 4, u: 1}. Give prob of picking 1 y and 1 c.
16/153
Four letters picked without replacement from quuqquuppqulqpqp. Give prob of picking 1 u, 2 q, and 1 p.
15/91
Calculate prob of picking 3 t when three letters picked without replacement from {t: 8, n: 3}.
56/165
Two letters picked without replacement from {u: 4, f: 6, p: 1, t: 4, j: 2}. What is prob of picking 2 j?
1/136
Two letters picked without replacement from oxoxhh. What is prob of picking 2 x?
1/15
What is prob of picking 1 k and 3 q when four letters picked without replacement from kqtotkiq?
0
What is prob of picking 1 v and 1 z when two letters picked without replacement from {q: 1, p: 2, z: 1, v: 2}?
2/15
Two letters picked without replacement from {n: 4, t: 7, q: 5}. What is prob of picking 2 n?
1/20
Four letters picked without replacement from fdddfdfdfdfd. Give prob of picking 4 f.
1/99
Two letters picked without replacement from pfpfffcffffpfffcff. Give prob of picking 2 p.
1/51
Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, e: 4}.
1/35
What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 4, x: 3, r: 2, p: 1, e: 1, h: 1}?
4/33
Two letters picked without replacement from uvvuuuvuvvvuu. What is prob of picking 1 u and 1 v?
7/13
Three letters picked without replacement from {d: 11, u: 6, z: 2}. What is prob of picking 3 d?
55/323
Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {v: 1, u: 3, m: 5}.
1/126
Three letters picked without replacement from {j: 5, d: 1, m: 5}. What is prob of picking 2 m and 1 d?
2/33
Four letters picked without replacement from vtessttsvssv. Give prob of picking 3 t and 1 e.
1/495
What is prob of picking 1 k and 1 e when two letters picked without replacement from kkktcte?
1/7
Calculate prob of picking 3 d and 1 r when four letters picked without replacement from brrbddbddbddhdnbb.
1/34
Four letters picked without replacement from igfqquuuu. What is prob of picking 1 u, 2 q, and 1 f?
2/63
Four letters picked without replacement from ymmyyybommmgmgrmy. What is prob of picking 2 m, 1 y, and 1 r?
3/68
Calculate prob of picking 3 z when three letters picked without replacement from zdzzzdzzdddzdzzddzdz.
11/76
Three letters picked without replacement from gbfffejfb. Give prob of picking 1 b and 2 f.
1/7
Four letters picked without replacement from {o: 7, i: 2, w: 2, e: 1, y: 2, f: 2}. What is prob of picking 1 e, 2 w, and 1 i?
1/910
Three letters picked without replacement from bxxbbbbxbbbbbbxxbbx. What is prob of picking 1 x and 2 b?
156/323
Four letters picked without replacement from dmddmgmmmgmmdm. What is prob of picking 1 m and 3 d?
32/1001
What is prob of picking 2 k when two letters picked without replacement from {k: 2, m: 4, j: 5}?
1/55
Calculate prob of picking 2 p when two letters picked without replacement from vhjpphpghvvjjhhmh.
3/136
Two letters picked without replacement from {l: 4, u: 2}. What is prob of picking 2 u?
1/15
Three letters picked without replacement from vlavpdppvtta. Give prob of picking 1 l, 1 d, and 1 v.
3/220
What is prob of picking 3 j when three letters picked without replacement from {g: 1, j: 7}?
5/8
Three letters picked without replacement from {b: 2, i: 1, q: 2, t: 1}. Give prob of picking 2 i and 1 t.
0
Calculate prob of picking 3 y when three letters picked without replacement from xxtyttyyyyxxytytyyy.
40/323
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 11, r: 1}.
1/6
Calculate prob of picking 1 p and 1 f when two letters picked without replacement from puuf.
1/6
Four letters picked without replacement from {s: 4, v: 1, d: 7, a: 6}. Give prob of picking 4 d.
7/612
What is prob of picking 2 k when two letters picked without replacement from gkahkfr?
1/21
Three letters picked without replacement from {t: 3, h: 6, d: 1, i: 2}. What is prob of picking 1 d, 1 h, and 1 i?
3/55
What is prob of picking 1 j, 1 t, and 2 p when four letters picked without replacement from bbbttjpjjjp?
4/165
What is prob of picking 1 g, 2 b, and 1 k when four letters picked without replacement from aagbbbbkgo?
2/35
Three letters picked without replacement from ssssssssss. Give prob of picking 3 s.
1
Four letters picked without replacement from {p: 1, w: 2, y: 2, q: 7, d: 4}. Give prob of picking 2 w, 1 y, and 1 d.
2/455
What is prob of picking 1 v, 1 e, and 1 s when three letters picked without replacement from {u: 1, v: 4, e: 2, s: 2}?
4/21
What is prob of picking 2 y when two letters picked without replacement from {y: 6, s: 2}?
15/28
Three letters picked without replacement from jxjxxjxjxjjjxxjjjxx. Give prob of picking 2 x and 1 j.
120/323
Two letters picked without replacement from {r: 6, s: 4, d: 2}. What is prob of picking 2 r?
5/22
What is prob of picking 2 e and 1 n when three letters picked without replacement from ndene?
1/5
Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {s: 1, x: 3, u: 3, p: 3, y: 1, m: 3}.
0
Four letters picked without replacement from jjjvvjjjjvjj. What is prob of picking 3 j and 1 v?
28/55
Three letters picked without replacement from jjyuyyjj. What is prob of picking 1 u and 2 y?
3/56
Three letters picked without replacement from mmqrmqqddqrqqqqmqqmm. Give prob of picking 1 d and 2 q.
3/38
Three letters picked without replacement from mbmffbmm. What is prob of picking 1 m and 2 b?
1/14
Calculate prob of picking 1 v and 2 t when three letters picked without replacement from {t: 4, v: 6}.
3/10
Four letters picked without replacement from {e: 2, m: 1, y: 3, w: 2, i: 4}. Give prob of picking 1 i, 1 m, 1 y, and 1 w.
8/165
Three letters picked without replacement from hiphpqpphqpqqpqhqp. What is prob of picking 3 h?
1/204
Three letters picked without replacement from rtmtmbtxtbbtxtb. What is prob of picking 2 b and 1 t?
36/455
Calculate prob of picking 1 s, 1 e, 1 i, and 1 a when four letters picked without replacement from iaiiaifsiaisafeffaai.
28/1615
Calculate prob of picking 1 k, 1 h, and 1 e when three letters picked without replacement from {y: 4, k: 1, e: 2, o: 1, h: 1}.
1/42
Two letters picked without replacement from bxxbxbxxxxxxxx. Give prob of picking 1 x and 1 b.
33/91
Four letters picked without replacement from {e: 1, x: 17}. Give prob of picking 4 x.
7/9
Calculate prob of picking 1 q and 1 a when two letters picked without replacement from aqjjqaaa.
2/7
Calculate prob of picking 1 g and 2 p when three letters picked without replacement from gxpxp.
1/10
Calculate prob of picking 1 h and 2 i when three letters picked without replacement from iwleeih.
1/35
Calculate prob of picking 3 h and 1 v when four letters picked without replacement from evvvvhhvvhvvvvvvv.
13/2380
Two letters picked without replacement from {h: 1, e: 2, l: 2, m: 3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 102/(-3)). Suppose 3*i - 8*i + v = d, 0 = -3*i. Solve -d*u = -28*u for u.
0
Suppose 18 - 48 = v - 7*v. Solve -7*l - 8*l - v*l = 0 for l.
0
Let z = 0 + 3. Let a(l) = -l**3 - 10*l**2 + 10*l - 9. Let x be 33/6*-1*2. Let j be a(x). Solve -3 = j*o - z*o for o.
3
Suppose 17*r - 337 = -31. Solve r*a + 21 + 51 = 0 for a.
-4
Let g be 1*32*7/(70/(-20)). Let v be (-1)/((-504)/g - 8). Solve -v*b = -4*b + 4 for b.
-1
Let s(m) = 43*m**2 + 677*m - 678. Let y be s(1). Solve -y*r = -53*r - 66 for r.
-6
Let x(g) = -11*g + 77. Let i be x(7). Let a be (-21)/14*8/(-12). Solve -a + i = l for l.
-1
Suppose 19*g - 1188 = 1852. Let i = g - 160. Let w = -4 - -8. Solve 0*b - 4*b + w = i for b.
1
Suppose 2*i = 5*f - 179, -138*f + 137*f + 33 = i. Solve -11*m = -f*m + 120 for m.
5
Suppose 4*n - 4 = 12. Let z be (2 + (n - 6))/2. Let v(k) = 3*k**2 + 2*k + 6. Let b be v(0). Solve -b = -3*i - z*i for i.
2
Let o(h) = h**3 - 12*h**2 - 9*h - 25. Let b be o(13). Let w = -17 + b. Suppose -27 = -w*n + n. Solve 4*v - n*v - 5 = 0 for v.
5
Suppose 0 = -4*f + 58 + 14. Let i(b) = -b**3 + 8*b**2 - 13*b - 4. Let q be i(5). Suppose q*v + 3*v - f = 0. Solve v*t - 10 = -2 for t.
4
Let u = -16 + 23. Let a be (3 - 2)*(-4 + u). Suppose a*b = b + 4. Solve 2*n = b + 8 for n.
5
Let b(t) = 2*t + 13 + 9*t**2 - 10*t**2 + 12*t. Let u be b(14). Suppose -g = 5*h - 2*h - u, 5*h - 40 = 2*g. Solve a + 2 = h for a.
4
Let j(p) = 2*p + 9. Let g be j(-6). Let c be (-4)/g*(-45)/(-6). Solve -4 = 12*k - c*k for k.
-2
Let z(o) = 2*o**2 - 145*o + 867. Let h be z(66). Solve 7*d + h = 58 for d.
7
Let s(h) = 4*h - 71. Let b be (-5)/((-40)/24) + 1*5. Let x be b/6*(-1938)/(-136). Let q be s(x). Solve -3 + q = 2*m for m.
1
Suppose 2*w = -4*t + 178, -7*t - 3*w = -9*t + 77. Solve -i = t - 48 for i.
5
Let z(w) = w**3 - 8*w**2 - 17*w + 73. Let f be z(9). Let q(g) = 10*g**3 + g**2 + g - 3. Let h be q(f). Solve -h = -2*x - 3 for x.
3
Suppose -4*m + 0*m = u - 6, -5*m + u = -21. Let d(p) = p**3 - 2*p**2 - 1. Let o be d(3). Solve w = m*w - o for w.
4
Suppose -428 = 10*f - 148. Let h be (-8)/f + (-136)/(-14). Solve -4*q - h = -9*q for q.
2
Let x(f) = f**2 + 4*f - 1. Let w be x(-2). Let a(v) = v**3 + 4*v**2 - 4*v + 7. Let s be a(w). Let o = 496 + -473. Solve 0 = 5*b - s - o for b.
5
Let x be 672/20 + 2/5. Suppose -57*m - 608 - 1102 = 0. Let z = m + x. Solve 0 = 2*l - 0 + z for l.
-2
Let s(p) = p - 13. Let i be s(9). Let q be (-6)/(-3)*(-2 - i). Suppose 0 = 6*b + q*b - 2*b. Solve 3*w - 6*w + 6 = b for w.
2
Let c = 9759 - 9504. Solve -7*f - c = -248 for f.
-1
Let k = -7642 + 7643. Solve -k = -11*f + 54 for f.
5
Let l = -30 + 33. Let p(f) = 10 + 1 + 3 - l*f**2 + 25*f + 5*f**2. Let x be p(-12). Solve -x*n + 6 = n for n.
2
Let m(z) = -27*z**2 + 7*z + 21. Let w be m(-2). Let f = -99 - w. Solve -5*d = -f*d for d.
0
Let h(r) = 2*r**3 + 6*r**2 - 20*r. Let z be h(-5). Solve -1950*v + 1941*v - 54 = z for v.
-6
Let j = 15 + -15. Suppose -2*t + 0*t + 4*t = j. Suppose 10*u - 8 - 2 = t. Solve 2*w + u + 3 = 0 for w.
-2
Let x(p) = -p**2 - 63*p - 822. Let w be x(-20). Solve 15*t - 138 = w*t for t.
-6
Suppose z + 2*f + 325 = 6*f, 1321 = -4*z - 5*f. Let d = -326 - z. Solve 0 = d*o - 5 + 2 for o.
1
Suppose -3*m + 645 + 1626 = 0. Let y = -757 + m. Solve u - 24 + 26 = y for u.
-2
Let x = -131 + 152. Solve 23 + 61 = -x*z for z.
-4
Suppose -4*v + 46 = 2*a, -55 = -40*a + 35*a + 2*v. Solve a*u + 35 + 17 = 0 for u.
-4
Suppose 2*i = 257 - 931. Let x = 340 + i. Solve -o + 0 = x for o.
-3
Let u(w) = -4*w + 37. Let c be u(18). Let i be (3/((-42)/c))/((-1)/(-6)). Solve 13*m = 10*m - i for m.
-5
Let r(s) = 9*s**2 + 144*s + 6. Let l be r(-16). Solve -20*u = -14*u - l for u.
1
Let v(q) = 9*q**2 - 34 + 14*q**2 + 26 - 23 - 17 + 26*q - q**3. Let l be v(24). Solve l*w = w - 4 for w.
4
Suppose -95*f + 172 = -52*f. Let n = 35 - 26. Solve n*w + 10 = f*w for w.
-2
Suppose 103*r - 592 = -77. Solve r*w = 17*w - 24 for w.
2
Suppose -242*k + 237*k + 98 = 4*m, 4*m + 64 = 4*k. Solve -k*v + 4*v = 42 for v.
-3
Suppose 210*h = 64*h + 4363 - 275. Solve 7*u - h + 84 = 0 for u.
-8
Let u = 3062 - 3023. Solve 5*o + u = 24 for o.
-3
Suppose -5*i - 8*t + 90 = -3*t, -96 = -5*i - 2*t. Suppose -4452 = 16*p + 1948. Let r = -396 - p. Solve -4 = -r*y - i for y.
-4
Let v be 3/(-1)*12*(-5)/(-45). Let s be 1 + 5 + -4 - v. Suppose 6*h + s = 18. Solve h*y + 1 = 7 for y.
3
Let l(n) = 6*n - 3*n - n + 2 - 5 - n. Let u be l(4). Solve 2*a + u - 9 = 0 for a.
4
Suppose 85 = 17*h - 544. Let c = h + -22. Let o(t) = t**3 - t**2 + t - 1. Let x be o(2). Solve 0*s - c = x*s for s.
-3
Let x(j) be the second derivative of j**4/4 - 19*j**3/6 + 11*j**2/2 + 10*j. Let i be x(6). Solve 8 = g - i*g for g.
-2
Let w = 8 - 5. Suppose -l + 5*q + 12 = -3, -5*l + q = -3. Let u be (6/(-10))/(-1)*(5 - l). Solve -w*y + 0*y - u = 0 for y.
-1
Suppose -4*m - 4*z + 52 = 0, -2*m + 4*z - 5 + 7 = 0. Suppose 5*x = m*x - 4. Solve -2*y - 1 - x = 0 for y.
-1
Let y(j) be the second derivative of -j**5/20 - j**4/6 + j**2 - j. Let p = -5036 + 5036. Let r be y(p). Solve -r = q + 1 for q.
-3
Suppose 0 = 5*r - 2*n - 16, 16*n - 20 = -3*r + 12*n. Solve 553*o + r = 555*o for o.
2
Suppose 0*k - 6*k + 2*k + 1592 = 0. Solve -k*s + 52 = -411*s for s.
-4
Let l(w) = -w + 22. Let f be l(-14). Suppose -9*r + 6*r - f = 0. Let i = r - -14. Solve 15 = -3*v - i*v for v.
-3
Suppose 2*x + 176 - 28 = 0. Let p = 79 + x. Let f = p - -5. Solve -5*g + f*g - 25 = 0 for g.
5
Let d(k) = -2*k**3 - 24*k**2 - 2*k - 22. Let g be d(-12). Suppose -q = 4*t - 28, -g*t = 2*t - 20. Let z = -4 + 8. Solve -6*c - q = -z*c for c.
-4
Let o(b) = -3*b - 31. Let s be o(-11). Let d = -2872 - -2878. Solve s*f - d = -10 for f.
-2
Let z be (4/8)/(23/276). Solve 5 = z*y - 1 for y.
1
Suppose 4*h - 10*u + 2169 = -9*u, -5*u = -5*h - 2730. Let k = h - -574. Solve -k*d + 35*d - 10 = 0 for d.
5
Suppose 4*u + 5*p = 4, -3*u - 2 = 4*p - 5. Solve 21 = 5*f + u for f.
4
Let n = -6039 - -6847. Solve -4*c = -n + 832 for c.
-6
Suppose 4287 = 6*n + 19*j - 16*j, -4*n - 5*j + 2873 = 0. Solve 4*t - 696 = -n for t.
-4
Let h(g) = 9*g**2 - 3*g - 11. Let y be h(-2). Let w = y - 22. Solve -w*z + 7*z - 8 = 0 for z.
-4
Let s(f) = -f**3 + 5*f**2 + 2*f + 30. Let g be s(6). Suppose 0 = -2*t - 4, -5*i + 557 = -g*t + 5*t. Solve i*d = 114*d + 3 for d.
-1
Let b(w) = 4*w**3 - w**2 + 4*w - 4. Let s = 4 + -3. Let u be b(s). Let k = -46 + 52. Solve 12 = -u*n + k*n for n.
4
Suppose 0 = -5*g - 3*v + 14, g + 2*v - 6 = 3*v. Let h be (g + -4 - 3)/(-3 + 2). Solve -6 - h = -3*q for q.
3
Suppose -3*s = 43*b - 39*b - 36, 98 = 5*s - 6*b. Solve 5*k - 14 = s for k.
6
Suppose 0 = 6*a + 8*a + 442 - 470. Solve -17*d - a = -15*d for d.
-1
Let i(h) = h**2 - h - 7. Let k be i(8). Let b = -48 + k. Suppose -4 = -2*r - 3*v, r - 3 = -3*v - b. Solve r*j + 3*j + 10 = 0 for j.
-2
Let v(a) = a**2 - 11*a + 6. Let q be v(9). Let z = -12 - q. Suppose -i = 3*u - 3, 12*i + 12 = u + 16*i. Solve u*w + 3*w = z for w.
0
Let a(z) = -3*z**3 - 28*z**2 + 27*z + 11. Let t(d) = d**3 - 1. Let q(v) = a(v) + 4*t(v). Let c be q(27). Solve 0 = -6*u - c - 5 for u.
-2
Let i be 552/132 - 2/11. Suppose 0 = -2*d - i*c + 20, 2*d + 0*c + 3*c - 15 = 0. Suppose d = 12*q - 11*q - 3. Solve 0 = n + q*n + 12 for n.
-3
Let s be -2 + (-1)/(8/(-256)). Let i(v) = -v**2 + 29*v + 35. Let j be i(s). Suppose 25 = -5*x + 100. Solve j*l = -0*l - x for l.
-3
Suppose 0 = 4*w - 934 + 90. Let t = w + -207. Suppose 0 = -0*m - 3*m + 2*j + 17, -3*m + 4*j = -7. Solve m = t*k - 11 for k.
5
Suppose 3*s + 2*x - 140 = 0, 21*s - 20*s + x - 47 = 0. Solve 20*q - s*q + 52 = 0 for q.
2
Suppose 0 = 76*x + 1541 - 7317. Solve 229*b + x = 210*b for b.
-4
Suppose -18 = f - 3*s, -3*f - f + 4*s - 40 = 0. Let h be f*(2/3)/(-1). Let j(z) = -2125*z - 61625. Let i be j(-29). Solve -2*y + 0*y - h = i for y.
-2
Suppose 2*v = 5*p - 25, -2*p + 95 = v + 85. Let d(k) = k**2 + 6*k + 4. Let j be d(-4). Let f be 4/(12/(-3)) - j. Solve v*s = f*s + 15 for s.
-5
Let p = 107 + -98. Let b be (-1 + 0)/((-1)/p - 0). Solve 13*v = b*v - 4 for v.
-1
Suppose 3*w = -5*f - 1421 + 1830, 0 = 3*w + 21. Solve -f*n + 65*n = -42 for n.
2
Suppose 15*y - 5*y = 270. Let u = -27 + y. Let b be ((-27)/36)/((-3)/12). Solve 3 = b*s - u*s for s.
1
Let o be (-13 + 13 + -5)*-1. Let i be 4/(-20) - 26/(-5). Let t = -3 + i. Solve -m = -t*m - o for m.
-5
Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
3*(-30)/o?
False
Suppose -4*y + 4*q = -56216, 6*q + 5 = 7*q. Is y a multiple of 37?
False
Let a(h) = 16*h**2 + 4*h + 9. Suppose -l + 188 = 192. Does 10 divide a(l)?
False
Let v = 81 - 80. Let c be 7/(v/(2 + -1)). Suppose 0 = 2*d + 2*i - 166, 4*d + 4*i + 214 = c*d. Does 29 divide d?
False
Suppose 9*x = 11*x. Let l be x*2/(-4) - -6. Is ((-8)/l)/(4/(-144)) a multiple of 6?
True
Let u(i) = 87*i**2 - 7*i - 307. Is u(-10) a multiple of 273?
True
Suppose 6*z + 79 = -497. Is z/(-15) + (-3)/(-5) a multiple of 2?
False
Let q = -177 - -184. Suppose q*d = -129 + 2551. Is d a multiple of 11?
False
Is (6 + (-12)/15)/((-1)/(-30)) a multiple of 9?
False
Let i(w) = -11*w - 12. Suppose 5*c + 92 - 2 = 0. Let f be i(c). Suppose 3*l = -3*j + f, -3*l = -0*j + 4*j - 188. Is l a multiple of 15?
True
Suppose 0 = -2*j + 9*j - 21. Suppose s = j*w + 6*s - 222, s = 0. Is 5 a factor of w?
False
Let a = -12095 - -21668. Does 143 divide a?
False
Let c(b) be the second derivative of -4*b**3/3 + 39*b**2/2 + 55*b. Is c(-17) a multiple of 20?
False
Suppose 70*h - 14 = 77*h. Is 24 a factor of (3 + h)/((-1)/(-152))?
False
Suppose -4*i = -15*i + 143. Suppose i*g - 2120 = 1936. Is 26 a factor of g?
True
Let y(f) = 3*f**2 - 54*f + 100. Is 7 a factor of y(25)?
False
Suppose -18*t + 6456 = 26*t - 6216. Does 5 divide t?
False
Let k(v) be the third derivative of -v**6/24 - v**4/24 + v**3/2 - v**2 - 18. Is k(-3) a multiple of 47?
True
Suppose 5*a - 418 = -2*t + 8175, 5*t + 2*a - 21472 = 0. Is 15 a factor of t?
False
Suppose -4*u + 6 = 2*f, -87 = 2*u - f - 80. Let v(s) = 101*s**3 - 5*s**2. Let m(h) = 102*h**3 - 4*h**2. Let g(z) = -3*m(z) + 2*v(z). Is 36 a factor of g(u)?
False
Let l(g) = 66*g - 72. Let a be l(2). Suppose -5*n = -2*t + a, -4 + 40 = t - n. Is 8 a factor of t?
True
Let h = -13 - -45. Let d(u) = -u**3 + 33*u**2 - 27*u + 104. Does 44 divide d(h)?
True
Is (10/10)/((-4)/(-76204)) - (2 + -1) a multiple of 127?
True
Let u(a) be the second derivative of a**4/12 - 7*a**3/6 - 3*a**2/2 + 4*a + 2. Suppose 6*z - 55 = z. Does 5 divide u(z)?
False
Suppose -3*s - 18 = -f, -f - 5*s - 16 = -2. Suppose -12 = 2*b - f. Let j(n) = -2*n**3 - n**2 + 3*n + 2. Does 19 divide j(b)?
True
Let b = 534 + -239. Is b - (-8)/(3 + (-3)/3) a multiple of 14?
False
Suppose 0 = 3*b + 5*h - 25921, 53*b - h = 58*b - 43165. Is 52 a factor of b?
True
Let o be 18351/9 - (0 - -3). Suppose 3*x + 3*d = x + o, -2*x + 2028 = -d. Suppose -16*s + 9*s = -x. Is 7 a factor of s?
False
Let l = -869 - -1393. Suppose -12*p - l = -16*p. Let b = -61 + p. Is b a multiple of 14?
True
Let g = 280 - 278. Suppose -151 = -3*c + a, g*c + 5*a = -0*c + 129. Is 13 a factor of c?
True
Let p be (585/(-2))/(-9)*4/2. Let l = 138 - p. Suppose -5*t + 5*a = -360, -2*a - l = -t - 0*t. Does 11 divide t?
False
Suppose 3*w = -b + 141 + 28, -2*w - 4 = 0. Let z = b + -94. Is z a multiple of 9?
True
Suppose -5366*z - 48 = -5382*z. Is z a multiple of 3?
True
Let c(z) be the first derivative of 32*z**3/3 + 5*z**2/2 + 3*z - 15. Let m be c(-1). Does 19 divide ((-456)/10)/(m/(-75))?
True
Is ((-28)/70)/(8/(-99880)) a multiple of 11?
True
Suppose -126*t = -121*t + s - 182739, 3*t - 3*s - 109629 = 0. Does 25 divide t?
False
Let d(w) = -408*w - 7283. Is d(-54) a multiple of 11?
False
Let m = -1213 - -3648. Is 173 a factor of m?
False
Let u(g) = -146*g - 253. Does 25 divide u(-68)?
True
Let v = -276 + 219. Let j = -192 - -106. Let n = v - j. Does 8 divide n?
False
Let p = -51 + 60. Suppose -3*k + d = 2*k - p, 0 = -k + 2*d + 9. Is (k + 10/(-6))*-9*25 a multiple of 13?
False
Let x be -1 + 0 - 247/(-19). Suppose x*g - 771 = 189. Is 16 a factor of g?
True
Suppose -10*z - 84 = -3*z. Is z/(-174) - 12524/(-58) a multiple of 27?
True
Let u be 1892/24 + 4/24. Suppose 3*i + 23 = 4*s, -4*i = -s + 6 + 16. Suppose 25 = -s*l + u. Does 9 divide l?
True
Let q(r) = 71*r - 3. Let p be 58/10 - -2*2/20. Let o(i) = -i - 1. Let a(h) = p*o(h) - q(h). Is 30 a factor of a(-1)?
False
Let s = 3 - 1. Suppose 5*n + 4*g = 29 + 2, -s*g = -4*n + 4. Let y(l) = 20*l**2 + 2*l - 9. Does 48 divide y(n)?
False
Let g(v) = -221*v - 595. Is g(-8) a multiple of 6?
False
Let y(s) = s**2 + 3*s - 10. Let o be y(-5). Suppose -7*g + 0*g - 98 = o. Let c = g + 29. Is 5 a factor of c?
True
Suppose 11*x - 28*x + 3196 = 0. Let p = -167 + x. Is p a multiple of 4?
False
Let p(q) = 4*q**3 + 215*q**2 - 74*q - 126. Is 16 a factor of p(-54)?
False
Let g be ((-46095)/35)/(3/4). Let d = -1180 - g. Is 13 a factor of d?
False
Suppose -5*k + 703 = -3*t, 4*t + 928 = 3*k - k. Let s = -8 - t. Is 51 a factor of s?
False
Let v(c) = 75*c + 5. Let a be 9/2 + (-2)/(-4). Does 8 divide v(a)?
False
Let n(i) = 366*i**2 - i - 4. Let b be n(-2). Suppose 5*z = -3*d + 736, -4*d - 3*z = -b + 488. Is d a multiple of 12?
False
Let r(f) = 6*f**2 - 2*f**2 + 3*f**2 - 23*f**3 + 21*f - 23. Let y(l) = 11*l**3 - 3*l**2 - 10*l + 11. Let h(g) = 4*r(g) + 9*y(g). Does 15 divide h(2)?
False
Let p(u) = 2*u + 48. Let j be p(-25). Does 9 divide 1/(-4)*j*(-2 + 110)?
True
Let b = 1144 + 1362. Suppose -4*v + 3333 = -u, 3*v - 23*u = -21*u + b. Is v a multiple of 35?
False
Is 99 a factor of (-341)/31*11988/((-24)/4)?
True
Suppose 0 = 3*g + 85 - 2857. Suppose 0 = 5*b + 3*r - 2010, 4*r + 311 = 3*b - g. Does 9 divide b?
True
Let y be ((-297)/(-12))/9 - (-6)/(-8). Let k be y/6 - 90/27. Let m(q) = 13*q**2 - q + 10. Is m(k) a multiple of 13?
True
Let f(s) = 288*s + 44. Let j(x) = 6*x. Let r(l) = f(l) + 3*j(l). Is r(3) a multiple of 37?
True
Let b(n) = -19*n + 1259. Is b(-99) a multiple of 79?
False
Does 18 divide (-4)/18 + (0 - 812/(-9))?
True
Suppose -54 = -2*m - 60. Does 24 divide 155*(m/2)/((-3)/18)?
False
Let b = 89379 + -56560. Does 12 divide b?
False
Let n(q) = q**3 + 13*q**2 + 9*q - 26. Let h be n(-12). Let m be h/2 + (-3)/(-3). Suppose m*s - 5*s - 198 = 0. Is s a multiple of 39?
False
Let g = -3238 - -3240. Let o(x) = x**3 - x**2 + 2*x + 1. Let u be o(2). Suppose -5*i + u = -1, -g*i - 951 = -5*p. Does 12 divide p?
False
Suppose 4*p - 4*h + 4 - 20 = 0, -2*h = 0. Is 16 a factor of 10738/70 - p/10?
False
Let p be 1*16/(-20) - (-236)/20. Suppose 5*f = 5*d + 3130, -p*f + d = -12*f + 634. Is f a multiple of 21?
True
Let t(x) = -3*x + 41. Let c be t(13). Suppose 72 = 2*g + c*h, 8*g + h = 11*g - 116. Is 3 a factor of g?
False
Suppose 0 = k - 3*i - 5, -4*i = -5*k + i - 25. Let t(f) be the third derivative of -5*f**4/6 + 31*f**3/6 - 99*f**2 - 5*f. Is t(k) a multiple of 33?
True
Let s be ((-38)/57)/(6/4383). Let w = s + 544. Does 2 divide w?
False
Let v(s) = -s + 5. Let f be v(2). Suppose -2*n - f*p + 170 = 0, -10*p + 12*p - 84 = -n. Is 22 a factor of n?
True
Let i(h) = -17*h**2 + 50*h - 51. Let t(l) = -6*l**2 + 17*l - 17. Let q(c) = 4*i(c) - 11*t(c). Let k be q(4). Suppose -k*v + 14 + 58 = 0. Does 12 divide v?
True
Let l(d) be the third derivative of d**4/12 + 8*d**3/3 + 20*d**2. Let t be l(-6). Suppose 5*a + f = 330, -a - 2*f + 335 = t*a. Does 25 divide a?
False
Let c be (-139)/7*-199 + 150/350. Suppose c = 7*s + 1558. Does 8 divide s?
False
Let d = -849 + 4517. Suppose -d = 16*w - 23*w. Is w a multiple of 32?
False
Let h be 2/3 - 0 - (-553)/3. Let j = h + -159. Is 3 a factor of j?
False
Let z(t) = -t**2 + 5*t + 8. Let p(w) = 2*w**2 + 2*w - 11. Let m be p(-5). Suppose -m + 11 = -6*k. Is z(k) a multiple of 14?
True
Let h = -2624 - -4024. Suppose -39*c - h = -44*c. Let r = c + -142. Is 46 a factor of r?
True
Let y(v) = 3*v**2 + 14*v. Let i be y(-5). Suppose 0 = -0*w + i*w - 615. Let o = 179 - w. Does 3 divide o?
False
Let d(j) be the second derivative of -j**5/20 - 3*j**4/4 + 2*j**3 + 3*j**2 - 9*j. Let y be d(-11). Let s = y - -17. Is 14 a factor of s?
False
Suppose b + 12377 = 2*w - 32310, -b - 111710 = -5*w. Is w a multiple of 13?
False
Let l = 26 + -18. Suppose 0 = 7*n - l*n + 36. Suppose -12*r - n = -15*r. Is r a multiple of 4?
True
Let o be 14/(((-15)/14)/(-15)). Let s = o + -88. Is s a multiple of 12?
True
Is 93 a factor of 3/39 + (-2167541)/(-689)?
False
Suppose 0 = 24*p - 15*p - 62577. Does 11 divide 6*-1*p/(-102)?
False
Let t(g) = -12*g - 7. Let w be t(-5). Suppose -43 + w = 2*d. Suppose d*y = 816 + 219. Does 23 divide y?
True
Let z = -14255 - -26938. Is z a multiple of 17?
False
Let c be 6/78 + (-2128)/(-52). Let f = c - -24. Is f a multiple of 45?
False
Let d
|
{
"pile_set_name": "DM Mathematics"
}
|
t term in 1009, 999, 975, 931, 861, 759, 619?
435
What comes next: 22, 99, 230, 415, 654, 947?
1294
What is the next term in 228, 246, 264, 282?
300
What is the next term in -64, -142, -220, -298?
-376
What comes next: 273, 270, 267, 264, 261?
258
What is the next term in -405, -408, -413, -420, -429, -440?
-453
What is the next term in -6, -32, -74, -132, -206, -296?
-402
What is next in 1051, 1050, 1049, 1048?
1047
What is the next term in -29, -31, -33?
-35
What is the next term in 29, 101, 173, 245, 317?
389
What is next in -51, -114, -179, -246, -315, -386, -459?
-534
What is next in 29, 22, 25, 44, 85, 154?
257
What is next in 15, 53, 151, 339, 647, 1105?
1743
What comes next: -30, -125, -284, -507, -794?
-1145
What is next in -173, -177, -183, -191, -201?
-213
What comes next: -103, -139, -175, -211?
-247
What comes next: 76, 73, 70?
67
What is next in -683, -1347, -1997, -2627, -3231, -3803, -4337?
-4827
What is the next term in -825, -824, -821, -816, -809, -800, -789?
-776
What is the next term in 22, 41, 58, 73?
86
What comes next: 13830, 13829, 13828, 13827, 13826?
13825
What comes next: -70, -217, -454, -775, -1174, -1645?
-2182
What is next in -16, -31, -48, -67, -88, -111, -136?
-163
What is next in -2, -16, -34, -56, -82?
-112
What is the next term in 128, 130, 132?
134
What is the next term in 29, 87, 163, 257, 369, 499?
647
What is next in -262, -522, -782, -1042?
-1302
What is the next term in 159, 147, 127, 99, 63, 19, -33?
-93
What is the next term in 11, 12, 5, -10?
-33
What is the next term in 26, 8, -32, -106, -226, -404, -652, -982?
-1406
What is next in 196, 243, 290, 337, 384, 431?
478
What is the next term in 84, 79, 74, 69, 64?
59
What comes next: -21684, -21683, -21682?
-21681
What is next in 48, 114, 198, 300, 420?
558
What comes next: 195, 216, 265, 354, 495?
700
What is next in 14, 109, 372, 887, 1738, 3009, 4784, 7147?
10182
What comes next: -12, 10, 44, 90, 148, 218?
300
What is the next term in 18, 31, 42, 51, 58?
63
What comes next: 25, 142, 341, 622, 985, 1430, 1957?
2566
What is the next term in 28, 20, 12, 4, -4, -12?
-20
What is next in -44311, -88621, -132931, -177241, -221551?
-265861
What comes next: 33, 62, 105, 168, 257, 378?
537
What comes next: -16, 551, 1502, 2843, 4580, 6719, 9266, 12227?
15608
What is the next term in 387, 391, 397, 405, 415, 427, 441?
457
What is next in -29, -24, -19?
-14
What is the next term in 189, 341, 487, 627, 761, 889?
1011
What is the next term in -10789, -10788, -10787, -10786, -10785, -10784?
-10783
What comes next: -110, -220, -330?
-440
What is next in -16, -133, -454, -1081, -2116, -3661, -5818?
-8689
What is next in 21, 9, -3, -15?
-27
What comes next: 42, 39, 36, 33?
30
What is next in -10930, -10931, -10932, -10933?
-10934
What is the next term in 16, 29, 48, 73, 104, 141, 184?
233
What comes next: 52, 63, 74, 85, 96?
107
What is next in 140, 145, 140, 119, 76?
5
What comes next: -18, 56, 180, 354?
578
What comes next: 27, 105, 227, 387, 579, 797?
1035
What is next in -1499, -2999, -4499, -5999?
-7499
What comes next: -131, -270, -417, -578, -759, -966, -1205, -1482?
-1803
What is next in 537, 545, 563, 597, 653, 737?
855
What is next in 26, 132, 308, 554, 870, 1256, 1712?
2238
What comes next: 73, 168, 289, 448, 657, 928?
1273
What comes next: -1945, -3889, -5833, -7777, -9721, -11665?
-13609
What comes next: 277, 554, 831, 1108, 1385, 1662?
1939
What is next in -2, 6, 16, 28, 42, 58?
76
What comes next: -893, -910, -925, -938, -949, -958, -965?
-970
What is next in -6, -14, -32, -66, -122, -206, -324?
-482
What is the next term in -5, -7, -11, -17, -25?
-35
What is next in 14, -1, -26, -61?
-106
What comes next: 76, 101, 138, 193, 272, 381?
526
What is the next term in -29, -171, -407, -737, -1161?
-1679
What is the next term in -10525, -21054, -31585, -42118, -52653, -63190, -73729?
-84270
What is the next term in 85, 74, 73, 82, 101?
130
What is the next term in 347, 701, 1053, 1403?
1751
What comes next: 99, 197, 293, 387, 479, 569, 657?
743
What is the next term in 123, 126, 129, 132, 135, 138?
141
What is next in 1, 32, 97, 208, 377, 616, 937?
1352
What comes next: 1638, 1633, 1618, 1587, 1534?
1453
What is next in -331, -660, -989, -1318?
-1647
What is the next term in 2123, 2128, 2143, 2174, 2227, 2308, 2423?
2578
What is next in -15, -4, 15, 42, 77?
120
What is the next term in -13, -27, -67, -145, -273?
-463
What is next in 3011, 3012, 3013?
3014
What comes next: -394, -393, -394, -397, -402?
-409
What comes next: 2353, 9426, 21223, 37750, 59013, 85018, 115771, 151278?
191545
What is the next term in -12, -36, -60, -84, -108?
-132
What is next in 5, 12, 21, 32?
45
What is the next term in -35, -373, -1297, -3101, -6079, -10525, -16733?
-24997
What is next in 193, 188, 187, 190, 197, 208?
223
What is next in -172, -334, -486, -622, -736, -822?
-874
What is the next term in -18, -122, -296, -540, -854, -1238?
-1692
What is the next term in -59780, -59779, -59778, -59777, -59776?
-59775
What comes next: -112, -218, -322, -424, -524?
-622
What is next in -28616, -28615, -28614, -28613, -28612, -28611?
-28610
What comes next: 558, 1144, 1732, 2322?
2914
What comes next: 1862, 1863, 1864?
1865
What comes next: 664, 694, 724, 754?
784
What is the next term in -1253, -1255, -1267, -1295, -1345, -1423, -1535?
-1687
What comes next: -958, -960, -952, -928, -882, -808?
-700
What is the next term in 26, 23, 20?
17
What is the next term in -35, 7, 133, 385, 805, 1435, 2317?
3493
What is next in 63, 209, 453, 795, 1235?
1773
What comes next: 1143, 2285, 3427, 4569, 5711?
6853
What is the next term in -17, -15, -11, -5?
3
What comes next: -7, -18, -37, -64, -99, -142?
-193
What is the next term in -57, -58, -59, -60, -61?
-62
What is the next term in 7, -8, -33, -74, -137, -228, -353?
-518
What comes next: 96, 195, 304, 429, 576?
751
What is next in -194, -380, -566?
-752
What is the next term in 282, 289, 298, 309, 322?
337
What is the next term in -19, -63, -135, -235, -363, -519?
-703
What comes next: 83, 204, 365, 566, 807, 1088?
1409
What is the next term in 13, 13, 11, 7?
1
What comes next: -44, -24, 10, 58?
120
What comes next: -15, -17, -9, 15, 61, 135, 243?
391
What comes next: -15, -21, -21, -9, 21, 75, 159, 279?
441
What is the next term in -16, -24, -30, -34, -36?
-36
What is the next term in -233, -472, -711, -950?
-1189
What is next in 87, 95, 109, 129?
155
What comes next: 576, 572, 556, 522, 464, 376, 252, 86?
-128
What is the next term in -8, -19, -32, -47, -64?
-83
What comes next: -77, -60, -43?
-26
What is the next term in -3026, -6049, -9072, -12095, -15118, -18141?
-21164
What is next in 53, 112, 171, 230?
289
What is next in 10, 33, 56, 79?
102
What is the next term in -248, -228, -194, -146, -84, -8, 82?
186
What is next in -23, -16, -7, 4?
17
What comes next: 0, 45, 156, 363, 696, 1185, 1860?
2751
What is the next term in -7, -245, -905, -2203, -4355, -7577?
-12085
What is next in 49, 60, 69, 70, 57?
24
What is the next term in 93, 99, 103, 99, 81, 43?
-21
What comes next: -189, -313, -473, -687, -973, -1349?
-1833
What comes next: 5766, 5765, 5764?
5763
What is the next term in 89, 167, 295, 473, 701, 979?
1307
What is the next term in 61, 115, 169, 223, 277?
331
What is the next term in 188, 761, 1718, 3059, 4784, 6893?
9386
What is next in 22, 58, 132, 256, 442?
702
What is the next term in 194, 180, 166, 158, 162, 184?
230
What is next in 482, 484, 488, 494?
502
What is next in -3332, -3337, -3342, -3347, -3352, -3357?
-3362
What comes next: -2, -26, -50, -74?
-98
What is the next term in 57, 54, 51, 48, 45, 42?
39
What is the next term in -1184, -2367, -3550, -4733?
-5916
What comes next: 3103, 6205, 9307, 12409, 15511?
18613
What comes next: 3, -20, -103, -276, -569, -1012?
-1635
What is the next term in 155, 308, 461, 614, 767?
920
What comes next: -26, 2, 78, 226, 470?
834
What comes next: -44, -155, -346, -623, -992?
-1459
What is the next term in 13, 15, 25, 49, 93, 163, 265, 405?
589
What is the next term in 873, 870, 867, 864, 861?
858
What is the next term in 107, 122, 151, 200, 275, 382, 527, 716?
955
What is the next term in 13, 26, 59, 124, 233, 398?
631
What is next in -32, -71, -108, -143?
-176
What is next in -22,
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*x + s + 142 - 155. Solve 6 - p = x*f for f.
1
Suppose -3 - 5 = -4*a. Suppose 0 = a*c + 1 + 5, -2*g + 18 = -4*c. Solve g*i - 4*i = -5 for i.
5
Let f = -234 - -249. Solve a - f = -2*a for a.
5
Let m(h) = -3*h**2 + 99*h - 93. Let j be m(32). Solve 14*u = -j*u - 17 for u.
-1
Let m be (0 + -1)/(657/(-81) + 8). Solve -m*p = -4*p - 2*p for p.
0
Suppose -3*w = -1 - 8. Suppose 0 = -a + 5*b - 7*b + 3, w*a + 4*b - 7 = 0. Solve -2*u = a + 3 for u.
-2
Suppose 15*y - 7*y - 128 = 0. Solve y = -8*s - 0 for s.
-2
Let d(x) = -x**2 + 46*x - 204. Let c be d(5). Solve 21*k = 20*k - c for k.
-1
Let s = 36 - 56. Let y be (s/6)/((-12)/18). Solve y*h - 2*h = 15 for h.
5
Suppose 5*b - 4*b = -3*s + 27, b = 3*s + 33. Solve 7*k = -8*k + b for k.
2
Let p(j) = j**2 + 14*j - 52. Let d be p(-18). Solve 0 = -d*y + 15*y for y.
0
Let x be (-275)/(-10) - ((-77)/(-14))/11. Solve 2*a + 7*a = -x for a.
-3
Let v = -15 - -17. Suppose -4*y - 3 = -h, v*y = -0*y. Let s be (5 + 1)/(h - 1). Solve f - s = 2 for f.
5
Suppose -11*v + 20*v - 72 = 0. Solve 19*s + v = 15*s for s.
-2
Suppose x + 3*j - 16 = 0, 3*x - 3*j = -x + 4. Suppose -5*m - 2*i + 27 = 0, -4*m - 4*i - 11 = -7*m. Solve x*h - m = 5*h for h.
-5
Suppose -60 = 19*p - 29*p. Solve p*u = 4*u for u.
0
Let o be (104/12)/(4/6). Let w(a) = a. Let x be w(5). Suppose x*y = -15, 3*k = -0*k + 4*y + 21. Solve -5*c = -o + k for c.
2
Let l(j) = j**2 + 30*j - 166. Let s be l(5). Solve -s*g - 12 = -39 for g.
3
Let p = 10 - 13. Let d be (-2)/p*6 - 3. Suppose 0 = -2*q + d + 7. Solve 0 = -q*f + 3*f for f.
0
Let x(v) = v**2 - 3*v - 2. Let y be x(-1). Let p(d) = y + 1 - 2 - 3*d + 2*d. Let u be p(-3). Solve 3*s = u - 1 for s.
1
Let p be 1/3*(4 + 5). Let u be (1 + (-1)/(-2))*(2 - -2). Solve 0 = p*l - l - u for l.
3
Let h(w) be the first derivative of -w**2/2 - w - 1. Let z be h(-8). Let v = z + -3. Solve v*y = y + 12 for y.
4
Let o(s) = s**3 + 5*s**2 + 4*s**2 - 5 - 5*s**2 - 7*s - 2*s**2. Let b be o(-3). Solve b*u - 25 = 2*u for u.
5
Let q be 2*((-213)/6 - -1). Let s be q/(-3) - (-2 - -1). Let r be 1/(s/21 + -1). Solve r*a - 4 = 5*a for a.
2
Let q be (-3)/((-1)/(-2) - 2). Suppose 19 = 5*v + 4*k - 10, 2*v + q*k - 12 = 0. Solve -16 + 6 = v*p for p.
-2
Suppose -1 = -3*h + 2*h + c, -4 = -4*h + 3*c. Solve -2*d + 5 - h = 0 for d.
2
Let y(d) = 2*d - 1. Let x be y(2). Let g(o) = -o**2 + 8*o - 5. Let v be g(7). Suppose 2*s = -v*c - 2*c + 86, 0 = 5*c - 3*s - 124. Solve 5*l = c - x for l.
4
Let v(s) = -4*s + 5. Let u be v(0). Let y = 8 - u. Solve 0 = y*k - 9 for k.
3
Suppose 0 = 4*s + s - 55. Let n = s + -7. Suppose 2*r + 32 = n*r. Solve -2*l - 2*l = r for l.
-4
Let g be (8/3 + -1)*3 - 1. Solve -a + g - 7 = 0 for a.
-3
Let q = -11 - -13. Let k be 1/1 - (-16 - -10) - -3. Let j be 5/k + 2/4. Solve q*l - 11 + j = 0 for l.
5
Let o = -6 - -4. Let c be (o + (-2)/1)/((-18)/45). Solve t + t = c for t.
5
Suppose -41*c + 240 = 7*c. Solve c*y - 4*y = 0 for y.
0
Let t be (9/(-12))/((-3)/12). Suppose 5*c - 5 - 10 = -2*n, 3*n + t*c = 9. Let k be 0/59*(0 + 1). Solve n*u - u = k for u.
0
Suppose 0*w - 5 = w, -59 = -3*r - 5*w. Let h(o) be the first derivative of o**3/3 - o**2 + 13*o - 3. Let q be h(0). Solve -r + q = 3*z for z.
-5
Suppose c = t + 3*c - 2, 3*c - 3 = 3*t. Suppose 5*l - 20 = 2*m - t*m, 5*l + 5*m = 20. Solve l*r - 10 = -r for r.
2
Let h(j) = -j**3 - 14*j**2 - 10*j + 44. Let x be h(-13). Solve -x*d = d for d.
0
Suppose 3*z - 21 + 0 = 0. Solve z*l = -43 + 8 for l.
-5
Suppose 11*t - 10 = 12*t + 2*n, 0 = 3*t + 4*n + 20. Let r(d) = -2*d + 11. Let w be r(4). Solve t = w*i + 8 + 1 for i.
-3
Let l(t) = 5 + 26 - t**2 - 6 - 9*t. Let u be l(-11). Solve 0 = -u*s - 2*s - 5 for s.
-1
Let z(r) = -3*r - 12. Let d be z(-5). Suppose -2*s + 3*w = -s - 54, -d*s - 2*w + 129 = 0. Suppose -s = -4*c + 27. Solve 4*x = -2 + c for x.
4
Let z be (-105)/(-12) - (-7)/(-28)*-1. Solve -z*m - 12 = -6*m for m.
-4
Suppose -5*h - 10 = 0, 2*h + 6 = 3*f + 2. Let d(k) = -2*k + 3. Let z be 3/((-3 + 5 + 1)/(-2)). Let x be d(z). Solve f = 3*y - x + 19 for y.
-4
Let y = -49 - -51. Suppose -4*g + 8 = 5*h - 0*g, -2*h - 4 = -2*g. Let k be 0 + (y - -4) - h. Solve k*v = v for v.
0
Suppose 3*p = -l + 1, -3*l = 3*p - l - 2. Suppose -3*r = -12, -b + 5*b - 4 = r. Let t be (-21)/(-6) + -5 - (-44)/8. Solve p = -b*j + 12 - t for j.
4
Suppose -4*w + 26 = -k + 3*k, 12 = -4*k. Solve -w*o = 7*o - 75 for o.
5
Let x be 6/(-15) + 5/((-175)/(-329)). Solve 4*g + x = 7*g for g.
3
Let a = 871 + -866. Solve -a*j = -2*j - 5*j for j.
0
Let a(p) = -2*p - 10. Let r(w) = 2*w**2 - 2*w - 8. Let l be r(0). Let o be a(l). Solve -d = -o*d - 20 for d.
-4
Let k = -19 - -23. Suppose 0*v - k*v + 5852 = 0. Let p be v/165 + (-2)/(-15). Solve -11 = 4*u + p for u.
-5
Let n(l) = -l**3 + 17*l**2 - 70*l. Let y be n(7). Solve y = 21*u + 16 + 26 for u.
-2
Let h = -23 - -35. Let l = 17 - h. Suppose 0 = -5*m + l + 5. Solve 4*z - 10 = -m for z.
2
Let o(c) = -2*c**2 - 63*c - 28. Let z be o(-31). Solve 3*x - z = 2*x for x.
3
Let z = 22 - 26. Let a be -30 + (2 - -2) + z. Let j = a - -33. Solve p + 2 = -j for p.
-5
Suppose 0 = -0*c - c + 8. Let m(w) = -2*w**2 + 7*w + 20. Let j be m(5). Solve n + j = c for n.
3
Let r(f) = 11*f - 17. Let j be r(7). Let q be (j/(-14))/(-5)*35. Suppose 4*t - 5*m + m = 8, q = 5*t + 5*m. Solve 16 - 4 = -t*a for a.
-3
Suppose 10*h - 45 = h. Suppose 4*j + 0*v = -4*v - 16, 2*v = -8. Suppose l = -0*i - 3*i - 2, j = -2*l + 3*i + 14. Solve -l*t - h = -13 for t.
2
Let n(u) = -2*u - 14. Let p be n(-7). Suppose 0 = 3*b - p - 6. Solve -2*c + 0 - b = 0 for c.
-1
Suppose 470 = 15*o + 5. Solve -o = 2*u - 25 for u.
-3
Suppose 7*m - 20*m + 325 = 0. Solve -5*h + m = 5 for h.
4
Suppose 4*n - h - 137 = 2*h, -3 = h. Let d = -27 + n. Solve 0 = -d*o + o for o.
0
Suppose k + 5*u = 0, 9*k = 7*k - 2*u. Solve 3*f - 3 = -k for f.
1
Suppose -54 = 547*g - 556*g. Suppose -3*f + 16 + 2 = 0. Solve -4*w = g + f for w.
-3
Let r(m) = 3*m + 37. Let b be r(-11). Solve 0 = -5*i + 4*i + b for i.
4
Suppose 0 = 28*s - 25*s - 9. Solve 0 = s*z + 4*z + 7 for z.
-1
Suppose -7*d - 6 = -4*d. Let p be ((-3)/(-4))/(d/(-16)). Let j(y) = 2*y**2 - 10*y - 7. Let a be j(p). Solve a = i + 1 for i.
4
Suppose -2*v - 2*w + 7*w + 33 = 0, 11 = -v - 3*w. Suppose -6*n + v*n = -8. Let d = 7 + -7. Solve -c - c - n = d for c.
-2
Let b(f) = 5*f + 88. Let n be b(-15). Solve n*m - 4 = 11*m for m.
2
Let m = 14 - 9. Suppose -4*d = -2*t + 12, m*t = t - 2*d + 54. Let a = -2 - -4. Solve -a*o + 5*o + t = 0 for o.
-4
Suppose 301 - 364 = -7*w. Solve -9 - w = -9*j for j.
2
Let z be (-12)/(-30) + 72/20. Solve 0 = -3*i - z + 1 for i.
-1
Suppose 2*x = 4*d - d - 106, 173 = -3*x + d. Let b = x + 61. Solve 3*p = -b - 7 for p.
-3
Let w(c) = -c + 2. Let f be w(-12). Solve -2*s + 20 = f for s.
3
Let h be -10 + 11 - -1*3. Suppose 3*o = 3*b + 4*o - 4, b = 2*o - 8. Solve h = 4*x - b*x for x.
1
Suppose 2*z + c - 1 = 2*c, -2*z = 5*c - 7. Let w be (-6)/(-3) - z - (-3 + -8). Solve 2*h = -h + w for h.
4
Let u = 79 - 56. Suppose u*r - 10 = 18*r. Solve -r = 3*q - q for q.
-1
Let d(a) = -9*a**3 - a - 1. Let n be d(-1). Solve -t + n*t = 16 for t.
2
Let r(f) = f**2 + 21*f - 26. Let c be r(-22). Let v be 2/c - 35/(-14). Suppose -4*m + 8 = -2*u, -m + 11 = 7*u - 3*u. Solve v*d + u*d = 0 for d.
0
Let a(o) = -o**3 - 12*o**2 - 18*o + 13. Let s be a(-10). Let g(y) = 5*y + 40. Let u be g(s). Solve 4 = -u*d + 29 for d.
5
Suppose -3*x + 3*f = -9, 2*x - f - 2*f - 6 = 0. Let c = -2 - -12. Solve -x*h + c = -h for h.
5
Let o(l) = l**2 + 7*l + 3. Let w be o(-9). Suppose 2*r - 12 = 4*j, 4*j + w = 4*r + 5. Suppose 0*b - n + 13 = r*b, 31 = 4*b - 3*n. Solve -b = -u - 4 for u.
3
Let m(z) be the first derivative of -z**2/2 + 10*z + 5. Suppose 0 = -3*v + 2*o + 32, -v + 0*v - 3*o = 4. Let a be m(v). Solve -a*h = -5*h - 12 for h.
-4
Suppose -30 = -5*v + 3*v. Solve 5*a - 5 = -v for a.
-2
Let m(w) = -w**2 + 12*w + 20. Let b(l) = -l**2 + 11*l + 20. Let j(h) = 5*b(h) - 4*m(h). Suppose 26 = 5*g - 19. Let s be j(g). Solve -3*f + 1 = -s for f.
1
Let x = 97 + -93. Suppose -11*r + x*r = -14. Solve 0 = -4*i - 6 + r for i.
-1
Let r = 15 + -9. Solve 18 - 30 = -r*n for n.
2
Suppose -89 = -8*d + 199. Suppose 15*k - 9*k = d. Suppose 0 = -2*p - 2*i + 8, 2*p = -3*i + 5 - 0. Solve p*m = k*m + 1 for m.
1
Let m = 482 - 477. Solve -4*x = m*x + 27 for x.
-3
Let n(y) = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
y?
210
Let y(v) be the second derivative of -v**8/56 - v**6/3 - 59*v**4/6 - 8*v + 6. Find the third derivative of y(p) wrt p.
-120*p**3 - 240*p
Let m(y) = -6*y**4 - 5*y**3 - 2*y + 8. Let j(f) = -f**4 - f**3 - f + 1. Let p(i) = -5*j(i) + m(i). Find the second derivative of p(r) wrt r.
-12*r**2
Differentiate 19*b**4 - 21*b**4 + 428*b**4 - 68 + 60*b**4 - 289 wrt b.
1944*b**3
Suppose 0 = j + 5*b - 29, 3*b + 0 = 2*j + 7. Let s(w) = -8*w - 45. Let a be s(-6). Find the second derivative of 4*h**j + 1 + 6*h - 1 - a*h**4 wrt h.
12*h**2
Let w(u) be the second derivative of u**6/30 + 3*u**3 - 57*u**2/2 + 5*u + 5. Find the first derivative of w(p) wrt p.
4*p**3 + 18
Let v(g) = g**3 - 5*g**2 - 5*g - 2. Let x be v(6). Differentiate m**3 + 57*m - x + 16 - 64*m + 6 with respect to m.
3*m**2 - 7
Let a = -1 + 3. What is the third derivative of -g**5 + 3*g**a + 2*g**5 + 3*g**5 wrt g?
240*g**2
Let c(t) be the second derivative of 23*t**8/56 + 4*t**4/3 - t**3/2 - 16*t + 2. What is the third derivative of c(y) wrt y?
2760*y**3
Let x(p) = -185*p + 150. Let j(n) = -370*n + 301. Let v(g) = 3*j(g) - 5*x(g). Differentiate v(d) wrt d.
-185
What is the first derivative of 0*p**2 - 133 + 10*p**2 - 85 - 2*p**2 - 19*p wrt p?
16*p - 19
Let a be (-2)/(4 - 3) - -6. Let x = -44 - -99. What is the second derivative of 0*u - x*u**4 + 42*u**a - 2*u wrt u?
-156*u**2
Let p be (1 - (2 - 4))/(-1). Let u be (4/p)/(2/(-6)). What is the third derivative of -2*a**2 - 2*a**2 - u*a**6 + 0*a**2 wrt a?
-480*a**3
Let l be ((-68)/(-119))/(4/14). Suppose -5*x + 2*x = -12, 0 = l*o + 3*x - 12. What is the first derivative of o - 15 + 7 - 12*a**3 wrt a?
-36*a**2
Let u(b) be the first derivative of -6*b + 1 - 5/6*b**3 - b**2. Let l(g) be the first derivative of u(g). Find the first derivative of l(p) wrt p.
-5
Let m be (-2 - (2 - 6)) + 3. Suppose 3*q - 26 = -m*h, -h + 2*h - 12 = -4*q. What is the third derivative of -5*r**4 + 15*r**4 + 4*r**2 - r**2 - 2*r**q wrt r?
240*r
Let k(m) be the third derivative of m**8/336 - 23*m**6/120 + 31*m**4/6 - 145*m**2. What is the second derivative of k(f) wrt f?
20*f**3 - 138*f
Let a be (-3)/(-1) + (-2 - -1). Suppose 0 = -0*r - 3*r. What is the second derivative of r*g**3 - a*g + 7*g**3 + 3*g wrt g?
42*g
Let a(f) be the first derivative of -f**6/10 - f**4/24 + 7*f**2/2 + 12. Let b(g) be the second derivative of a(g). Find the second derivative of b(d) wrt d.
-72*d
Let l be (-17)/(255/10)*21/(-2). Differentiate l*m + 36*m - 45 + 9*m - 3*m with respect to m.
49
Let w be -3*28/18*-3. Let u = w + -7. What is the first derivative of -2*b**2 - 10 - u*b**4 - 3*b**2 + 5*b**2 wrt b?
-28*b**3
Suppose 0 = 34*z + 124 - 328. Let a(d) be the third derivative of -1/14*d**7 + 0*d - 5*d**2 + 0 + 0*d**5 + 1/3*d**3 + 0*d**z + 0*d**4. Differentiate a(n) wrt n.
-60*n**3
Let u be -17 - -1 - (-4)/(-4). Let z = -11 - u. Find the third derivative of 9*j**2 + z*j**6 + 0*j**2 - 2*j**2 wrt j.
720*j**3
Let k(y) = y**2 - 7. Suppose 2*d - 3*w + 5*w - 12 = 0, d = 3*w - 2. Let p(t) = -d - 2 + 2. Let n(h) = 2*k(h) - 5*p(h). Differentiate n(g) with respect to g.
4*g
Let o(p) = 3*p**3 - p**2 - p + 1. Let r(c) = 196*c**3 + 2*c**2 + 2*c + 322. Let l(v) = -2*o(v) - r(v). Differentiate l(y) wrt y.
-606*y**2
Let v(h) be the third derivative of -3*h**7/7 - h**5/60 - 17*h**3/3 + 2*h**2 - 262*h. Find the third derivative of v(g) wrt g.
-2160*g
Suppose 13 = -4*s + 93. Suppose 0 = 8*x - 3*x - s. Find the second derivative of 0*f - 3*f - x*f + f**3 wrt f.
6*f
Suppose 3*f = -3, -9*f = 5*d - 4*f + 5. Let x(c) be the second derivative of 3/20*c**5 - c**2 + 0*c**4 + 0 + d*c**3 + c. Differentiate x(k) with respect to k.
9*k**2
Let k(l) be the second derivative of -629*l**6/30 + 253*l**3/3 + 623*l. What is the second derivative of k(t) wrt t?
-7548*t**2
Let p(v) = v**2 + 3*v - 1. Let u(q) = -195*q**2 - 15*q - 32. Let f(i) = -5*p(i) - u(i). Find the first derivative of f(a) wrt a.
380*a
Find the second derivative of 672*j + 1325*j - 2503*j + 1290*j - 558*j**2 wrt j.
-1116
Let c(o) = 51*o**3 + 12*o**2 + 6*o + 359. Let r(t) = -50*t**3 - 10*t**2 - 5*t - 357. Let z(j) = -5*c(j) - 6*r(j). Find the first derivative of z(p) wrt p.
135*p**2
Let z(u) = -19*u**2 + 11*u + 39. Let f(w) = 10*w**2 - 6*w - 20. Let s be -2 + 7 - (-3 - -2). Let i(l) = s*z(l) + 11*f(l). Differentiate i(n) wrt n.
-8*n
Let i = -10 + 11. Let m be 2 - (i - 5)/4. Find the second derivative of 0*p**3 + 5*p + 4*p - 3*p**m wrt p.
-18*p
Let n(w) = 4*w**3 - 2*w**2 + 2*w - 3. Let j(l) = -8*l**3 + 5*l**2 - 5*l + 5. Let i be 9/(36/(-16)) - 1. Let u(m) = i*n(m) - 2*j(m). Differentiate u(s) wrt s.
-12*s**2
Let f(z) be the first derivative of 11/4*z**4 + 0*z**2 - 3 + 0*z**3 - 7*z. What is the derivative of f(g) wrt g?
33*g**2
Differentiate 127*h**3 + 118*h**3 + 240*h**3 - 128*h**3 - 60 with respect to h.
1071*h**2
Differentiate 77 - 121*l - 87 + 245 + 60 with respect to l.
-121
Let w(k) be the first derivative of -4/5*k**5 + 0*k - 5 - 7/3*k**3 + 0*k**4 + 0*k**2. What is the third derivative of w(d) wrt d?
-96*d
Let s(y) be the second derivative of -1/2*y**3 + 0*y**6 + 0*y**4 + 0 + 0*y**5 + 0*y**2 - 13/42*y**7 + 12*y. Find the second derivative of s(n) wrt n.
-260*n**3
Let v be ((-3)/(-2))/(1/2). Let s be (-3 + v + -4)*-2. What is the derivative of -14*b**3 + 7*b**3 + s + 3 - 4 wrt b?
-21*b**2
Let p(z) be the second derivative of -8*z + 0 + 2/3*z**4 + 0*z**2 + 1/2*z**3. Find the second derivative of p(x) wrt x.
16
Differentiate -181 - 39277*y**2 + 778 + 39016*y**2 with respect to y.
-522*y
Let u be 2 + 0 + -1 + -1 + 2. Find the first derivative of -8 + u - 8725*h**2 + 8739*h**2 wrt h.
28*h
Let l(r) = 7*r**2 + 2*r - 213. Let i(z) = 7*z**2 + 3*z - 214. Let m(n) = -2*i(n) + 3*l(n). What is the derivative of m(a) wrt a?
14*a
Let a = 45 - 43. Find the third derivative of -16*p**2 + a*p**2 - 5*p**3 + 9*p**2 wrt p.
-30
Suppose 0 = -3*p - 4*q + 35, -10 = -q - 5. Find the second derivative of -4*j - 16*j**2 + p*j + 11*j wrt j.
-32
Let v(g) = -3*g**4 + 17*g**3 + 19*g**2 + 18. Let s(l) = l**4 - l**3 - 3. Let a(t) = -6*s(t) - v(t). What is the third derivative of a(n) wrt n?
-72*n - 66
Let l(k) be the second derivative of 0*k**4 + 0 + 4*k + 8/15*k**6 + 0*k**3 + 7*k**2 + 0*k**5. Differentiate l(y) wrt y.
64*y**3
Let g be (2 + -2)/(8 - 1). Let z(u) be the second derivative of g + 2/5*u**5 + 0*u**2 + 0*u**3 + 2/3*u**4 + 3*u. What is the third derivative of z(i) wrt i?
48
Let t be (-16)/(-6)*(-66)/(-88). Let i = 21 - 13. Find the second derivative of -s**3 - t*s**3 + 4*s**3 - i*s wrt s.
6*s
Let j = -47 - -49. What is the third derivative of -k**4 - 3*k**j + 2*k**2 - 12*k**4 - 2*k**4 + 3*k**3 - 5 wrt k?
-360*k + 18
Suppose -4*j + 0 = -16. Differentiate -10 - j - 9*w**3 + 12 wrt w.
-27*w**2
Let z(f) be the second derivative of 0*f**2 - 24*f + 0*f**6 - 1/21*f**7 + 0*f**5 + 0*f**3 - f**4 + 0. What is the third derivative of z(n) wrt n?
-120*n**2
Let s = -50 + 54. What is the second derivative of s*a**4 - 3*a**5 + 13*a**4 + 3*a - 17*a**4 wrt a?
-60*a**3
Let u(l) = -l**3 - 7*l**2 + 5*l + 5. Let r be u(-7). Let y be 28/6 - 10/r. Find the third derivative of -b**y + 0*b**2 - 2*b**5 - 4*b**2 - b**5 wrt b.
-240*b**2
Suppose -o - 5*l = -18, o - 5*l - 1 = -13. Suppose -31 = -4*g - o*d, -d + 2 + 19 = 4*g. Differentiate 0*w**3 - 5*w**g + 0*w**3 + w**4 - 9 with respect to w.
-16*w**3
Let a = -45 + 50. Differentiate -5*r + 0*r + 2*r - a*r + 10 with respect to r.
-8
Let d(s) be the second derivative of -9*s**5/2 + 97*s**4/12 + 6*s. What is the third derivative of d(t) wrt t?
-540
Let s(z) = 3*z - 2. Let t(g) = -g**3 - 24*g**2 + 13*g - 85. Let n(y) = 4*s(y) - t(y). Find the second derivative of n(x) wrt x.
6*x + 48
Differentiate 84*t**3 - 54 - 195 + 61*t**3 - 19 - 183*t**3 wrt t.
-114*t**2
Let x(k) be the third derivative of -41*k**4/24 - 21*k**3/2 + 2*k**2 - 13*k. Differentiate x(s) wrt s.
-41
Let g(o) be the third derivative of -1/60*o**6 - 5*o**2 + 0 + 0*o**4 + 0*o + 7/60*o**5 + 0*o**3. Find the third derivative of g(y) wrt y.
-12
Let j be 6/18*(12 - 0). Suppose -j = -0*s - s. Find the third derivative of -4*y**2 - 4*y - 4*y**s - 2*y + 6*y wrt y.
-96*y
Let z = -15 + 15. Let x be 1*4 - (z - -1). Find the second derivative of -2*q**2 - x*q**2 - 5*q + q**2 wrt q.
-8
Let p(f) be the third derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*z + 580*r, 0 = 3*z + r + 10 for z.
-2
Solve 4*m - 27 = -5*m, 0 = -u - 0*u - 3*m + m for u.
-6
Solve -8 = -2*d - g, 19*d + 3*g - 32 = 17*d for d.
-2
Solve -20 = 5*o - 3*l, 4*o - 182 = 5*l - 198 for o.
-4
Solve 3*u - 18 = 3*k, 5*k - 4*u - 47 = -75 for k.
-4
Solve -6*g + 10*g + 16 = 0, 0 = -5*a - 5*g - 45 for a.
-5
Solve -9*y - 3*t - 4 = -8*y, -t = 5*y - 50 for y.
11
Solve 678*h + 15 = 675*h, -4 = -r - 0*r + h for r.
-1
Solve -4*w = -12, -m + 3*m = -m - w - 2 + 5 for m.
0
Solve 4*f - 120 + 108 = -2*u, u - f + 3 = 5*u for u.
0
Solve 15*g + 4 = 11*g + 2*t, -g - 1 = -3*t for g.
-1
Solve 24*f = 26*f + 5*l + 73, -17*f = 2*l + 13 for f.
1
Solve -3*c = -3*u + 24, 97*c = 92*c - 2*u + 16 for c.
0
Solve 5*w + i - 16 = 0, 972*i - 977*i = 20 for w.
4
Solve -3*a + 12 = s, -2016*a = -2*s - 2019*a + 21 for s.
9
Solve -456*n = -x - 451*n + 13, -5*x - 2*n = 16 for x.
-2
Solve 3*l - 11 - 1 = -4*z, -4*l + 47 = -5*z for l.
8
Solve 4*t + 254 = -3*c + 279, 14 = 2*c + 2*t for c.
3
Solve -4*l + 4 = 4*b, -l + b + 1 = 2 for l.
0
Solve -100*z - 5*f = -105*z - 45, 3*z - f + 27 = 0 for z.
-9
Solve -2*m = -5*w + 13, -25*m + 21*m = w + 15 for m.
-4
Solve -a + 3*z + 2288 = 2309, 4*z = 16 for a.
-9
Solve 51*z = 55*z + 48*g + 256, 3*z = -2*z + 3*g - 5 for z.
-4
Solve -4*y + 48 = -3*l, -47*l + 23*l + 29*l + 29 = y for y.
9
Solve 0 = 24*s + 3*n - 207, -s = -87*n + 83*n + 144 for s.
4
Solve 0 = 2*q + l + 8, 4*l - 7 = -89*q + 94*q for q.
-3
Solve -26*k + 8*j + 3 = -29*k, 33*j - 12 = -3*k + 30*j for k.
7
Solve 19 = 2*v + 2*q + 1, 4*v - 3*q = 8 for v.
5
Solve -3*p + 8*m + 14 = 3*m + m, -5 = -5*p + 25*m for p.
6
Solve -92 = -3*j - 5*d, 6*j + 347*d - 351*d + 40 = 0 for j.
4
Solve -52*q + 56*q + 3 = s, -2*q - 2*s - 34 = 0 for q.
-4
Solve d = p - 2, 55*d = -3*p + 54*d + 14 for p.
4
Solve 5*w = -5*b - 10, 4 = -3*w - 94*b + 90*b for w.
-4
Solve -4*z - 2*c + 105 - 111 = 0, 5*z = -12*c - 17 for z.
-1
Solve f - 3*s = 0, -42*f + 5*s + 80 = -22*f - 25*f for f.
-12
Solve -o - 6*s = -61, -3*o - 254 + 267 = s for o.
1
Solve 4*s + 20 = 0, 7*p - 2*p + 84*s - 79*s = -60 for p.
-7
Solve 4*a - 3170 = -3*l - 3293, -5*a = -5*l + 110 for a.
-27
Solve -5*m = 5*b + 395 - 425, -98 = -5*b - 39*m for b.
4
Solve 3*u + 26 = 2*n, 3*u + 242 = -2*n + 256 for u.
-2
Solve 0 = -4*b - 2*g - 14, -b + 176 = -5*g + 196 for b.
-5
Solve c - 4*b = 3, -c - 960 = 5*b - 945 for c.
-5
Solve 12*y + 4*t - 26 = 17*y, 4*y + t + 4 = 0 for y.
-2
Solve 6 = -2*m + 2*c, 0 = -6*m + 56*c - 59*c + 9 for m.
0
Solve -8*j = -17 - 15, -5*j = -3*g - 5 for g.
5
Solve -31*h - 5*c = -28*h + 80, -56 = 2*h + 4*c for h.
-20
Solve 9*u + 36 = -4*z, 0 = 5*z + 4*u - 0 + 16 for z.
0
Solve 4*q + 4*u - 8 = 0, 2*q + 95*u - 92*u = 5 for q.
1
Solve b = z - 8, -98*b - 3*z + 28 = -102*b for b.
-4
Solve 0 = 3*j + 4*d - 3, 39 + 1 = 5*j - 5*d for j.
5
Solve -5*i = -4*c - 11, -5*c - 5*i = -6*i + 40 for c.
-9
Solve -3*j - 2*u - 28 = 0, -246 = 3*j - 4*u - 266 for j.
-4
Solve -4*m + 42 = -5*k + 32, 2*k + 7 = m for k.
-6
Solve 0 = -5*y - 3*u - 65, -3*y - u + 264 = 299 for y.
-10
Solve -12 = 5*x - 3*w, -82*x + 87*x - 5*w = -20 for x.
0
Solve -7*f = -3*t + 61, -36*f + 38*f = -2*t - 26 for f.
-10
Solve 40 = -2*h + 2*l + 36, 2*h + 4*l + 4 = 0 for h.
-2
Solve -18 = -2*l - 2*j, -743*l + 744*l = -7*j + 27 for l.
6
Solve -2*t = 2*s + 38, -5*t + 45 = 45*s - 50*s for t.
-5
Solve -j - 690*f + 694*f - 53 = 0, f = -j + 7 for j.
-5
Solve 3*h - 2*l + 24 = 0, 1043*l - 36 = 1039*l for h.
-2
Solve 15 = 4*h - 8*v + 5*v, 2*v + 10 = -12*h for h.
0
Solve 2*t - 8 = -5*h, -603*t + 604*t - 8*h - 4 = 0 for t.
4
Solve -3*c + 4*m = -1, 0 = 4*c - m + 3 + 13 for c.
-5
Solve 5*y - 22*d - 11 = -21*d, 0 = -2*y - 2*d - 10 for y.
1
Solve -3*w = -0*w + 4*q + 21, 3 = -q for w.
-3
Solve 2*p - 18 = -25755*t + 25757*t, 5*t - 15 = -5*p for p.
6
Solve -q = 3*h + 4, -603*h + 12 = -606*h for q.
8
Solve 4*i + 62*k + 12 = 63*k, 3*k - 12 = 0 for i.
-2
Solve -4*i + 30 = -2*y, 3*i = -8*y + 4*y - 60 for i.
0
Solve 5*t = -2*a - 12, -2*t = -138*a + 132*a + 32 for t.
-4
Solve -l - 5*m + 17 = 0, -118*m + 108*m + 28 = 4*l for l.
-3
Solve -4*p + i + 1441 = 1444, -i = -5*p - 3 for p.
0
Solve -2*u + 82 = v + 72, -4*u + 20 = 4*v for u.
5
Solve -34*z = 5*i - 44*z - 45, 4*i = -3*z - 41 for i.
-5
Solve 625*c - 620*c + 12 = 6*d, -5*c - 2*d + 4 = 0 for c.
0
Solve -18 = 3*c - k, -32 = -36*c + 40*c - 4*k for c.
-5
Solve 5*m - 62*k - 41 = -65*k, 21*k = 3*m + 21 for m.
7
Solve -4*s - 43 = -5*a - 100, 2*s = 2*a + 24 for s.
3
Solve 215*c = 4*m + 218*c - 24, c - 8 = -5*m for m.
0
Solve -3*i - 63 + 38 = -5*s, -4*s = i - 20 for s.
5
Solve 0 = -r + 4*j + 27, 0 = r + 7*j - 4*j + 8 for r.
7
Solve -d + 4*d - 6*d + 9 = l, 5*l = 0 for d.
3
Solve 10 = -p - 5*t - 22, 0 = -t - 5 for p.
-7
Solve -7 = -2*w - u, -7*u = -1969*w + 1965*w - 13 for w.
2
Solve -4*u = -2*x + 2, 1007*x - 1009*x - 3*u = 19 for x.
-5
Solve -21 + 18 = -4*v + 3*l, 4*l = -4*v + 24 for v.
3
Solve -x - 4*d - 29 = 0, x + 23*d = 26*d + 13 for x.
-5
Solve -51*q + 52*q = 5*v - 23, 2*q = -7*v + 22 for v.
4
Solve -5*v + 6*f + 10 = 8*f, 2*v - 5*f - 33 = 0 for v.
4
Solve 5*t + 132 = -7*n + 100, -15 = 3*t for n.
-1
Solve -9*u = -4*r - 5*u + 24, 0 = 4*r + 6*u + 16 for r.
2
Solve -4*w + 3 = -7*k, 732*w - 5*k = 729*w + 2 for w.
-1
Solve -32*u + 22 = -30*u - 6*r, 16 = 5*u - 2*r for u.
2
Solve -28 = -10*v - 4*p, -11801 + 11778 = -2*v + 5*p for v.
4
Solve w - 33 = -4*o, 0 = 3*o - 4*w + 29 + 103 for o.
0
Solve 4*y - 17*t - 3 - 10 = 0, 0 = -4*y + 6*t - t + 1 for y.
-1
Solve 4*j - 31*x = -27*x - 48, 4*j = 5*x - 53 for j.
-7
Solve -9*u = -5*o - 15, 0*o - 3*u = -2*o - 6 for o.
-3
Solve 4*n = 2*y - 2, 81*n = 79*n + 4 for y.
5
Solve -5*t - 110*v = -113*v + 3, 0 = 4*v - 4 for t.
0
Solve 5*m + 4*r = 10*r + 18*r + 284, 0 = -4*m + 4*r + 60 for m.
4
Solve 2*f = g - 5, -6 = 3*f + g - 3*g for f.
-4
Solve -2*t - 3 + 2 = 3*i, 5*t + 3*i = -7 for t.
-2
Solve -2*g = -11*h - 56, 0 = 3*g - 80*h + 82*h + 27 for g.
-5
Solve 368 = 3*o + 4*u + 378, -3*o - 5*u = 14 for o.
2
Solve -x + n + 11 = 0, 5*x - 59*n + 62*n - 23 = 0 for x.
7
Solve 90 = -4*h + 98, 3*r - 3*h - 51 = 0 for r.
19
Solve 8025*u = 8018*u - 2*z - 53, 65 = -4*u - 5*z for u.
-5
Solve 0 = 2*k + 8, 30*t + 4 = 34*t + 4*k for t.
5
Solve 15*l - 16*l + 1 = k, 12*l + 4 = -4*k for l.
-1
Solve 3*u - 73 = -5*p - 24, 8*p - 64 = 0 for u.
3
Solve -2*p + 128*j = 131*j + 5, 0 = 3*p - 2*j + 14 for p.
-4
Solve 4819 = -3*c - 7*m + 4887, -m + 12 = c for c.
4
Solve -b + 4*x - 15 = 0, 5*x - 35 = 38*b - 40*b for b.
5
Solve 6*d - 75 = 5*i, -282*d + 11 = 3*i - 280*d for i.
-3
Solve -2*h - 5*j - 38 = 7, 36 = -2*h - 2*j for h.
-15
Solve 0 = 457*t - 456*t + 5*p + 7, 2*p + 13 = 3*t for t.
3
Solve -8 = 2*r - 5*c, 36*r - 5 = 39*r - 4*c for r.
1
Solve 0 = -104*v + 103*v + 2, -y - 5*v - 23 = -37 for y.
4
Solve -367*g + 372*g - 29 = -4*m, -2*m - 2*g + 12 = 0 for m.
1
Solve -4*k - 76*d = -81*d + 3, 15 = 2*k - 3*d + 6*d for k.
3
Solve -20*f + 23*f - 2*v = -1, -32 = f - 7*v for f.
3
Solve 4*v = -4144*c + 4141*c + 11, 3*v = -c + 7 for c.
1
Solve 677*s - 28 = 673*s - 4*z, 4*s + 5*z - 32 = 0 for s.
3
Solve -v - 1379*h + 1 = -1378*h, 0 = -v - 5*h - 11 for v.
4
Solve 0 = 2*h + 3*s + 16, 5*h - 127*s + 130*s = -22 for h.
-2
Solve d + h + 7 - 3 = 0, 5*h = d - 26 for d.
1
Solve -4*n + 3*g = 13, -34*n + 29*n + 4*g - 16 = 0 for n.
-4
Solve -c + 222 = 5*x + 191, 0 = -4*x - 5*c + 8 for x.
7
Solve -5*b + 19574*i - 19571*i = 21, 0 = 3*b - 2*i + 14 for b.
0
Solve 0 = 3*q - 4*o + 8, 5*o - 28 = o - 8 for q.
4
Solve -3*c - 5*k = -3, -4*c + 15*k + 33 = 12*k for c.
6
Solve 3*k + 5*m = 7*m + 19, 2*m = 26*k - 134 for k.
5
Solve -3*w - w + 7 = c, -5*c + 4*w = 37 for c.
-5
Solve 353 - 326 = 2*a + 3*b, -4*a + 3*b - 9 = 0 for a.
3
Solve 7 = 4*q + 3*f, 43*f - 39*f - 14 = -3*q for q.
-2
Solve -4*l + 30 = 3*u, -2*u = -l + 27 - 25 for u.
2
Solve -3*z + 38*i + 7 = 34*i, -84*i - 89 = -5*z for z.
1
Solve -11*k - 35 = -4*x, 2*k - 4*x + 15 = 25 for k.
-5
Solve -5*y + 3*r = -1, 0*r + r = -5*y - 7 for y.
-1
Solve j + 279*k - 277*k = 2, 11 = 2*j - 3*k for j.
4
Solve r - 198 = 2*v - 181, -4*v - 24 = -4*r for v.
-11
Solve -5*w - 10 + 23 = p, 2*w = 6 for p.
-2
Solve 6*d = 3*r + 15, -5*d = 2*r - 16 + 17 for r.
-3
Solve 0*o + o + 2 = -3*y, 4*o - 24*y = 64 for o.
4
Solve -3*a = -5*d + 82, -a - 55 + 73 = d for a.
1
Solve -3*f + 13 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -k**2 + 11 + 6*k + 4*k**2 + k**2 - k**2. Is n(8) a prime number?
True
Suppose 0 = -5*m + 2*v + 797 + 2072, v + 1148 = 2*m. Is m prime?
False
Suppose 3*b + 105 = 3738. Is b prime?
False
Suppose -38 + 509 = 3*q. Is (q/3)/(1/3) a composite number?
False
Suppose -v = 5*x - 6, -6*x + 3*x - 5*v - 14 = 0. Let q(d) = d**2 + 2*d - 3. Let j be q(x). Suppose -5*w + 4*n + 783 = 0, -4*w - 269 = j*n - 879. Is w composite?
True
Suppose 5244 = 9*n - 1515. Is n a composite number?
False
Let w(f) = 7*f**2 - 9*f + 3. Let i be (3/1)/(27/45). Is w(i) prime?
False
Let l(p) = -1867*p**3 + 3*p + 3. Is l(-1) prime?
True
Suppose 0*f + 1004 = 4*f - s, -4*f + 4*s + 1004 = 0. Suppose -4*n = -3*n - 434. Let v = n - f. Is v a prime number?
False
Let a(l) = 205*l**2 - 2*l - 4. Is a(-1) a prime number?
False
Let p = 1321 - -4470. Is p prime?
True
Let u = -4 + 7. Suppose -i - 3*b - 47 = 0, u*i + i + 3*b + 215 = 0. Let n = 11 - i. Is n composite?
False
Let x = 0 + 2. Let n be 2/(-2)*x + 0. Is n/(-7) + (-1102)/(-14) a prime number?
True
Let g(j) = 7*j - 11. Let s be g(-9). Let y be s/(-1) + (-1)/1. Suppose 5*k - 343 = 3*d + 54, -k - d + y = 0. Is k a composite number?
True
Suppose 4*x = 4*g + 4, 3*x + g = -x - 1. Is (1 + -131)/(x + -2) a prime number?
False
Let d be -3*1*(-3)/(-9). Is 36 - 1 - (d - -3) a composite number?
True
Is ((-5)/(-10) - 1)/(1/(-158)) a composite number?
False
Let m be 2 - -11*(-1)/1. Let o(s) = -s**3 - 10*s**2 - 8*s + 12. Let u be o(m). Is 2*u/(-6)*-185 composite?
True
Suppose 2*o - 69 + 23 = 0. Let z(g) = g**2 + 3*g - 3. Let n be z(-4). Is (n - o)/(4/(-6)) a composite number?
True
Let j(c) = -c**2 + c - 1. Let z(g) = -2*g**2 + 2*g + 11. Let f(s) = -2*j(s) - z(s). Is f(7) a prime number?
False
Let n(b) = -b**3 + 16*b**2 - 12*b - 1. Is n(10) composite?
False
Let y be 0 - -2 - (0 - -1). Suppose -5*h = 4*x - 148, -3*h + 16 = h. Let u = x - y. Is u a composite number?
False
Let c(o) = 68*o + 5. Is c(3) prime?
False
Is ((-3014)/3)/(28/(-42)) prime?
False
Let k(n) = n**2 + 9*n + 15. Let o be k(-6). Is (-194)/o*(-6)/(-4) prime?
True
Suppose 0 = u + u - 8. Suppose -u*i + 25 + 15 = 0. Is i composite?
True
Is (-30)/4*(-8)/10 a prime number?
False
Let b(r) = -r + 113. Let n = 2 - 2. Is b(n) composite?
False
Let r(p) be the third derivative of p**5/60 - p**4/24 + 51*p**3 - 4*p**2. Let s be r(0). Suppose 4*b = -70 + s. Is b composite?
False
Let h = -5985 + 8616. Is h a prime number?
False
Let t = 472 - 309. Is t a prime number?
True
Suppose 0 = -0*p + 4*p - 452. Is p a composite number?
False
Let a be -1300 + 0 + -2 - 0. Let d = -546 - a. Is 6/(-10) - d/(-35) a composite number?
True
Let b = -6 + 913. Is b a composite number?
False
Let r = 2295 + 238. Is r a composite number?
True
Suppose 7 = 3*h - 8. Suppose 7*p = 2*p + h. Let r(s) = 38*s**2 + 1. Is r(p) prime?
False
Suppose 2652 = -5*o + 21137. Is o prime?
True
Suppose 0 = -3*t + 4*t. Suppose 4*n = 3*k + 973, 0*n - 3*n + k + 736 = t. Is n composite?
True
Suppose 7*u = 12*u - 3800. Is 2/6 + u/6 a composite number?
False
Suppose -s = -4, 3*h + 24 = -s + 4*s. Let w = h + 3. Let k = 12 + w. Is k a prime number?
True
Let k = 5 + -3. Suppose -308 = -2*i - k*i. Is i a prime number?
False
Suppose -2*y + y + 5*h + 171 = 0, -h = 5*y - 725. Suppose y = 3*x - 409. Is x a composite number?
True
Let d(t) = 0*t - 46*t**3 - 1 + t + 3 - 1. Is d(-1) a composite number?
True
Let a = -30 + 31. Let d(m) = 235*m. Is d(a) a prime number?
False
Let o(d) = 86*d**2 + 4. Let s be o(3). Let m = -405 + s. Is m composite?
False
Let n(y) = -y**3 + y**2 + 1211. Is n(0) prime?
False
Is 2014 + 8/4 + 5 a prime number?
False
Suppose 5*p + 69 = o, -2*o + 3*p - 4*p = -160. Is o composite?
False
Let x(m) = -30*m. Let t be x(-1). Is (-85)/(-2)*36/t a composite number?
True
Suppose -494 = -n + 60. Is n a composite number?
True
Is (4 - -10)/((-6)/(-33)) composite?
True
Suppose -3*f + 16 = -4*c + f, -c - 2*f = -8. Let g = 0 + c. Suppose k + 4*q = 27, -2*q - 1 + 3 = g. Is k a prime number?
True
Is 3204/8 - 2/(-4) a composite number?
False
Let t = 66 - -1901. Is t a composite number?
True
Let b(p) = -1242*p**3 - 2*p - 1. Is b(-1) composite?
True
Let g be 24/30*55/2. Suppose -d + g = -3*r, -r = -3*d + 71 + 35. Is d a prime number?
True
Let w = 328 - -561. Is w prime?
False
Let x = 348 - 230. Is x prime?
False
Let g(b) = b. Let z(t) = -4*t - 1. Let q(r) = 4*g(r) - z(r). Suppose -3*h - 20 = -m - 5, -3*m = -3*h - 21. Is q(m) a prime number?
False
Let b(w) = w**2 - 6*w + 6. Let k be b(4). Let m = k - -4. Is 2/((-36)/21 + m) composite?
False
Let x(i) = 3*i**3 + 2*i**2 - i. Let a be x(1). Suppose -4*v + 5*p + 22 = 0, a*v = -5*p + 3 - 1. Suppose -51 = -v*y + 2*y. Is y a prime number?
False
Let b = 38 + -96. Let w = -33 - b. Suppose 0 = -z + 22 + w. Is z prime?
True
Let v = 160 - -177. Is v a composite number?
False
Let a be (-2)/(-6)*-7*-3. Suppose -s + a + 38 = 0. Is 10/s + (-295)/(-9) a prime number?
False
Suppose 0*s + 8*s = 40312. Is s a composite number?
False
Let u(m) = -5*m. Suppose 2*h = -0*h. Suppose -4*y - 30 = -n, h = -0*y + 5*y - 5*n + 45. Is u(y) prime?
False
Suppose 5*y + 6716 = 4*m - 2*m, 4*m = -2*y + 13408. Is m composite?
True
Let h(p) = -4*p**3 - 6*p**2 + p - 7. Is h(-6) composite?
True
Let l be -2*1/2 - 2. Let c(v) = -5 + 8*v**2 + 3*v - 1 + 2. Is c(l) prime?
True
Suppose -3*r + 18 = -5*v, -v - 5*r - 1 + 3 = 0. Is 2 - (v - (2 - -44)) prime?
False
Let j be (-52)/(-2) - (0 + -2). Suppose -4*x - i + 493 = 4*i, 4*i = -3*x + 371. Suppose x = q + j. Is q a prime number?
True
Suppose -f = -0*f - 3*l - 1684, 5076 = 3*f - l. Is f a prime number?
True
Let m = -200 - -422. Suppose -m = -4*g + 5*r, 0 = -5*g - 0*g - 4*r + 257. Is g composite?
False
Let l(o) = 3*o**3 - 8*o**2 + 10*o - 11. Is l(6) prime?
True
Let j be (-77)/(-5) + 8/(-20). Let h be (j/4)/(2/40). Suppose -198 = -3*i + 3*n - h, -i + 45 = -3*n. Is i a prime number?
False
Let c = 2 - -3. Suppose -5*j + c = -2*v, 0*j - 22 = 5*v - 3*j. Let w(s) = 3*s**2 - 3*s - 1. Is w(v) a prime number?
True
Suppose 0*n + 2*n = 10. Suppose 94 = n*r - 61. Is r prime?
True
Let u = -22 + 36. Let f = 28 - u. Is f a composite number?
True
Suppose i - 2 - 1 = 0. Suppose -j = -0*j - s + 8, i*j - 2*s + 22 = 0. Is ((-130)/4)/(3/j) a prime number?
False
Let o(r) = r**2 + 10*r + 8. Let z be o(-9). Let f be ((-1)/(-2))/z*-6. Suppose i - 25 = f*v, -3*i + 65 = -2*v + 4. Is i prime?
True
Let b = -8207 + 14506. Is b composite?
False
Let u(d) = -81*d + 17. Is u(-6) a prime number?
True
Let n = -8 + 20. Let z be n/5 + 2/(-5). Suppose z*d + 5 = 79. Is d a prime number?
True
Suppose u + 4149 = 3*q, 6*u = 2*q + 2*u - 2766. Is q prime?
False
Let z be (0 - -1) + 1920/(-15). Let g = z - -288. Is g composite?
True
Suppose 5*s + 0*s - 2*x + 54 = 0, -s + 3*x - 3 = 0. Let a = 31 + s. Is a a prime number?
True
Let j(v) = -3*v - 1 + 6 + 0*v + 8*v**2 - 4. Is j(-6) composite?
False
Let s = -61 + 92. Is s a prime number?
True
Let d = 23 + -7. Suppose -12*z - 1828 = -d*z. Is z composite?
False
Let c(b) be the first derivative of 5*b**3/3 - b**2 - 7*b - 2. Let d = 13 + -7. Is c(d) prime?
False
Is 2 - 2 - (-3 + -100) a prime number?
True
Let d(v) be the third derivative of -v**5/60 - v**4/24 + v**3/6 + 2*v**2. Let n be d(2). Let h = 28 + n. Is h composite?
False
Suppose 0*h + h - 23916 = -5*b, -4*h = 2*b - 9570. Is b a composite number?
False
Let w = -62 + 129. Is w prime?
True
Suppose -3*m + 26 = y - 107, -5*y - 3*m = -701. Suppose -4*u + y = -q + 2*q, -5*q + 80 = 2*u. Is u a prime number?
False
Let p = -3 + -5. Is (-397)/(-5) - p/(-20) a composite number?
False
Suppose -2*g + 8 = -g. Let f = g - 10. Is -20*2/f + -1 a prime number?
True
Let o be (269/4)/(2/8). Let h = -102 + o. Is h a composite number?
False
Let w = 2801 - 522. Is w a prime number?
False
Let b(l) = -494*l - 25. Is b(-7) a prime number?
True
Suppose 4*o - 7 = 5. Suppose o*k = 32 + 31. Is k a composite number?
True
Suppose 4*q = 2*q - 742. Let s = -226 - q. Is s a composite number?
True
Let m(t) be the first derivative of t**3/3 - 7*t**2/2 - 2*t + 1. Is m(8) composite?
True
Suppose -s - 2*u + 7*u - 21 = 0, 2*s + 2 = 2*u. Suppose -f - s*i - 755 = -4*f, 5*i = -3*f + 764. Is f prime?
False
Suppose r - 677 = -5*p + 442, 3*r = -2*p + 458. Is p composite?
False
Suppose -11*j = -5*j - 74
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 45?
10
Calculate the remainder when 24272 is divided by 11.
6
What is the remainder when 1029 is divided by 117?
93
Calculate the remainder when 101067 is divided by 20212.
7
Calculate the remainder when 669776 is divided by 122.
118
What is the remainder when 2157 is divided by 136?
117
What is the remainder when 498 is divided by 127?
117
Calculate the remainder when 6828 is divided by 5637.
1191
What is the remainder when 19417 is divided by 571?
3
Calculate the remainder when 100170 is divided by 53.
0
Calculate the remainder when 1407031 is divided by 127.
125
Calculate the remainder when 8734 is divided by 1090.
14
Calculate the remainder when 46502 is divided by 23243.
16
What is the remainder when 102087 is divided by 7851?
24
Calculate the remainder when 1071158 is divided by 8.
6
What is the remainder when 15004 is divided by 516?
40
Calculate the remainder when 6559 is divided by 156.
7
What is the remainder when 3502 is divided by 400?
302
Calculate the remainder when 787639 is divided by 194.
193
What is the remainder when 645708 is divided by 15374?
0
Calculate the remainder when 244739 is divided by 158.
155
What is the remainder when 7381 is divided by 7364?
17
What is the remainder when 269339 is divided by 363?
356
Calculate the remainder when 3848 is divided by 146.
52
What is the remainder when 949179 is divided by 16?
11
Calculate the remainder when 238895 is divided by 237.
236
What is the remainder when 8721 is divided by 610?
181
What is the remainder when 210866 is divided by 11098?
4
Calculate the remainder when 15297 is divided by 395.
287
What is the remainder when 50910 is divided by 20?
10
Calculate the remainder when 76277 is divided by 25406.
59
What is the remainder when 9124 is divided by 44?
16
Calculate the remainder when 50473 is divided by 25.
23
Calculate the remainder when 3993 is divided by 63.
24
Calculate the remainder when 7680 is divided by 3800.
80
What is the remainder when 112149 is divided by 33?
15
What is the remainder when 181 is divided by 34?
11
What is the remainder when 9542 is divided by 562?
550
Calculate the remainder when 26578 is divided by 7.
6
What is the remainder when 5445 is divided by 1279?
329
Calculate the remainder when 6243 is divided by 347.
344
Calculate the remainder when 11361 is divided by 1129.
71
What is the remainder when 2571 is divided by 67?
25
What is the remainder when 6487 is divided by 107?
67
What is the remainder when 1246116 is divided by 147?
144
What is the remainder when 98770 is divided by 42?
28
What is the remainder when 1352388 is divided by 13?
11
What is the remainder when 75888 is divided by 1117?
1049
What is the remainder when 53436 is divided by 53411?
25
What is the remainder when 261772 is divided by 119?
91
What is the remainder when 5784 is divided by 38?
8
What is the remainder when 193166 is divided by 23?
12
Calculate the remainder when 811 is divided by 776.
35
What is the remainder when 3096 is divided by 493?
138
Calculate the remainder when 12222 is divided by 508.
30
What is the remainder when 11340 is divided by 366?
360
What is the remainder when 111981 is divided by 37272?
165
What is the remainder when 10287 is divided by 4?
3
What is the remainder when 7723 is divided by 3856?
11
What is the remainder when 12237931 is divided by 613?
612
What is the remainder when 341 is divided by 36?
17
Calculate the remainder when 1394 is divided by 351.
341
What is the remainder when 45762 is divided by 4572?
42
Calculate the remainder when 1112 is divided by 65.
7
Calculate the remainder when 7950 is divided by 660.
30
What is the remainder when 211605 is divided by 70?
65
Calculate the remainder when 211160 is divided by 16.
8
What is the remainder when 9450 is divided by 1040?
90
What is the remainder when 4016 is divided by 15?
11
Calculate the remainder when 125606 is divided by 4.
2
Calculate the remainder when 8046 is divided by 729.
27
What is the remainder when 3761 is divided by 92?
81
Calculate the remainder when 4322 is divided by 35.
17
Calculate the remainder when 2236 is divided by 41.
22
What is the remainder when 10039 is divided by 205?
199
What is the remainder when 501948 is divided by 25?
23
Calculate the remainder when 588 is divided by 467.
121
What is the remainder when 72426 is divided by 238?
74
Calculate the remainder when 13265 is divided by 40.
25
What is the remainder when 252 is divided by 30?
12
Calculate the remainder when 750812 is divided by 198.
194
What is the remainder when 602820 is divided by 34?
0
What is the remainder when 25596 is divided by 132?
120
What is the remainder when 29640 is divided by 1097?
21
What is the remainder when 2050 is divided by 675?
25
Calculate the remainder when 6111 is divided by 508.
15
What is the remainder when 897294 is divided by 38?
0
What is the remainder when 17016 is divided by 25?
16
What is the remainder when 6442 is divided by 217?
149
What is the remainder when 4747 is divided by 250?
247
Calculate the remainder when 91277 is divided by 1141.
1138
Calculate the remainder when 2661 is divided by 5.
1
What is the remainder when 8483 is divided by 156?
59
What is the remainder when 17566 is divided by 4374?
70
Calculate the remainder when 4599 is divided by 1523.
30
Calculate the remainder when 96069 is divided by 26.
25
What is the remainder when 12041 is divided by 3926?
263
What is the remainder when 5274 is divided by 5246?
28
What is the remainder when 103791 is divided by 63?
30
Calculate the remainder when 23578 is divided by 2942.
42
What is the remainder when 21176 is divided by 275?
1
What is the remainder when 1768 is divided by 117?
13
What is the remainder when 15796 is divided by 588?
508
Calculate the remainder when 973168 is divided by 12.
4
What is the remainder when 49250 is divided by 125?
0
Calculate the remainder when 10991 is divided by 100.
91
What is the remainder when 754 is divided by 34?
6
What is the remainder when 54990 is divided by 214?
206
What is the remainder when 7487 is divided by 682?
667
What is the remainder when 8838788 is divided by 59?
57
What is the remainder when 6711 is divided by 1515?
651
What is the remainder when 28132 is divided by 46?
26
What is the remainder when 69968 is divided by 81?
65
Calculate the remainder when 63002 is divided by 1210.
82
Calculate the remainder when 29835 is divided by 1561.
176
What is the remainder when 6270 is divided by 197?
163
What is the remainder when 1437 is divided by 1008?
429
Calculate the remainder when 7371 is divided by 135.
81
Calculate the remainder when 14407 is divided by 7152.
103
Calculate the remainder when 7472 is divided by 256.
48
Calculate the remainder when 334 is divided by 232.
102
Calculate the remainder when 9696 is divided by 302.
32
What is the remainder when 106674 is divided by 148?
114
What is the remainder when 1091 is divided by 492?
107
What is the remainder when 14828 is divided by 280?
268
Calculate the remainder when 93522 is divided by 202.
198
Calculate the remainder when 3313 is divided by 356.
109
Calculate the remainder when 19314 is divided by 1797.
1344
What is the remainder when 101322 is divided by 84?
18
Calculate the remainder when 562496 is divided by 16071.
11
What is the remainder when 19202 is divided by 97?
93
What is the remainder when 11278 is divided by 536?
22
What is the remainder when 87353 is divided by 210?
203
Calculate the remainder when 16822 is divided by 3364.
2
What is the remainder when 3493875 is divided by 130?
125
What is the remainder when 2882 is divided by 152?
146
Calculate the remainder when 2334 is divided by 35.
24
What is the remainder when 60712 is divided by 17?
5
What is the remainder when 9966 is divided by 28?
26
Calculate the remainder when 82967 is divided by 210.
17
What is the remainder when 6173 is divided by 799?
580
Calculate the remainder when 4039 is divided by 942.
271
Calculate the remainder when 444054 is divided by 94.
92
Calculate the remainder when 67106 is divided by 46.
38
What is the remainder when 60390 is divided by 47?
42
What is the remainder when 1314498 is divided by 41?
38
What is the remainder when 27753 is divided by 27?
24
Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
)
Let n = 16375 - 114581/7. Factor 8*g**2 + 8/7 + 16/7*g**4 - n*g**3 - 2/7*g**5 - 34/7*g.
-2*(g - 4)*(g - 1)**4/7
Let o(k) = 330*k**2 + 1590*k + 2. Let t(g) = -g**3 + 887*g**2 + 4770*g + 7. Let x(s) = 7*o(s) - 2*t(s). Factor x(p).
2*p*(p + 3)*(p + 265)
Let f(b) be the first derivative of 1/12*b**3 - 5/4*b**2 - 65 + 25/4*b. Factor f(i).
(i - 5)**2/4
Factor 187*c**3 - 185*c**3 - 34*c**2 + 10*c**2 - 8*c**2 - 202*c - 168.
2*(c - 21)*(c + 1)*(c + 4)
Let i(r) be the second derivative of -9*r**4/4 + 277*r**3/2 + 93*r**2 + 10971*r. Suppose i(p) = 0. Calculate p.
-2/9, 31
Let y(w) be the second derivative of 13/12*w**4 + 9/2*w**3 - 14 - 6*w + w**2. Factor y(x).
(x + 2)*(13*x + 1)
Let b be (-76)/(-5 - -24) - 33*(-10)/75. Determine q, given that 0 - b*q**2 + 0*q = 0.
0
Let z(c) = -c**4 + c**3 + 1. Let f(s) = -4*s**4 - 6*s**3 - 15*s**2 - 7*s + 3. Let y = 140 - 143. Let d(w) = y*z(w) + f(w). Factor d(a).
-a*(a + 1)**2*(a + 7)
Let v = -4956 - -163550/33. Let a(w) be the first derivative of 0*w**4 + 1 + 0*w + 0*w**2 + v*w**3 - 2/55*w**5. Factor a(r).
-2*r**2*(r - 1)*(r + 1)/11
Let c be (16/28)/(-9 + 130/14). Let i(n) be the second derivative of 15*n - 1/6*n**3 + 0 + 1/3*n**c + 1/36*n**4. Factor i(x).
(x - 2)*(x - 1)/3
Let x = -1233 - -25894/21. Let w(n) be the third derivative of -1/35*n**5 - 14*n**2 - x*n**4 + 2/735*n**7 + 0 + 0*n**6 + 0*n + 0*n**3. Solve w(g) = 0.
-1, 0, 2
Let n(c) be the second derivative of 2*c**7/63 + c**6/90 - 17*c**5/15 + 127*c**4/36 - 22*c**3/9 - 10*c**2/3 + 7*c + 30. Solve n(r) = 0.
-5, -1/4, 1, 2
Let t(f) = -25*f**3 - 26*f**2 + 684*f + 672. Let i(o) = 4*o**3 + 4*o**2 - 114*o - 112. Let g(k) = -26*i(k) - 4*t(k). Factor g(a).
-4*(a - 8)*(a + 1)*(a + 7)
Let y be -2 + 3/12 + (-45)/(-12). Suppose 0 = 5*z - y*x + 3, 3*z - 4*x + 0 = -13. Factor -2*p + 3*p**2 + 4 - z - 4*p.
3*(p - 1)**2
Let t = 261701/5 - 51999. Let o = 342 - t. Factor -4/5*z**3 - o*z**4 + 0 + 4/5*z**5 + 0*z + 4/5*z**2.
4*z**2*(z - 1)**2*(z + 1)/5
Suppose s = -1146*d + 1149*d - 22, -6*s = 132. Factor -1/5*m**3 - 1/5*m**4 + 2*m**2 - 8/5*m + d.
-m*(m - 2)*(m - 1)*(m + 4)/5
Let w = 21 - 21. Suppose 4*l + 0*l - 24 = w. Suppose -15*k + 15*k**3 + l - 1 - 6*k**2 + k**2 = 0. Calculate k.
-1, 1/3, 1
Let l(c) be the first derivative of c**4/14 + 38*c**3/21 + 103*c**2/7 + 330*c/7 + 1719. Factor l(o).
2*(o + 3)*(o + 5)*(o + 11)/7
Suppose 5/4*t**5 + 7598567/4*t + 26645*t**3 - 1143574 - 1564799/2*t**2 - 629/2*t**4 = 0. What is t?
1, 8/5, 83
Let r(n) be the third derivative of -27*n**2 + 20/9*n**3 - 41/18*n**4 + 0 - 2*n + 4/45*n**5. Factor r(c).
4*(c - 10)*(4*c - 1)/3
Suppose 34 = 3*p + 2*b, -4*p - 11803*b = -11806*b. Suppose p*q**2 - 10/3*q - 14/3*q**4 - 4/3 + 10/3*q**3 = 0. Calculate q.
-1, -2/7, 1
Let j(c) be the second derivative of -5*c + 0*c**3 + 0*c**4 + 2/45*c**5 - 2/45*c**6 + 0*c**2 + 0 + 2/189*c**7. Let j(n) = 0. What is n?
0, 1, 2
Let b = -9222 + 9227. Let x(u) be the first derivative of 32*u - b*u**4 - 40*u**2 + 33 + 22*u**3 + 2/5*u**5. Let x(i) = 0. What is i?
1, 4
Let u = 218 + -214. Let k be 9*((5 - (-237)/(-27)) + u). What is y in -3/2*y**k - y - y**3 - 1/4*y**4 - 1/4 = 0?
-1
Let f = 203 + -200. Factor -128*p**2 - 3*p - p**3 - 2*p + 0*p**f - 2 + 124*p**2.
-(p + 1)**2*(p + 2)
Let n(p) be the first derivative of p**8/420 + p**7/35 - p**6/90 - p**5/5 - 127*p**3/3 + 131. Let q(k) be the third derivative of n(k). Factor q(i).
4*i*(i - 1)*(i + 1)*(i + 6)
Solve 33*k + 0 + 3/2*k**2 = 0 for k.
-22, 0
Let -1/3*o**3 - 3*o + 22/3 - 4*o**2 = 0. What is o?
-11, -2, 1
Let i(c) be the second derivative of 0*c**6 - 62*c + 0*c**2 + 0*c**3 + 0*c**4 - 1/42*c**7 + 0 + 1/20*c**5. Determine r so that i(r) = 0.
-1, 0, 1
Suppose 2*j - 479*y - 18 = -473*y, -5*j = -5*y - 15. Factor j + 1/2*v**2 + 7/2*v.
v*(v + 7)/2
Let x = 84 - 81. Determine o so that -7*o**3 + 7*o**2 - 16*o + 12 + o**3 + 0*o**2 + 5*o**x = 0.
2, 3
Let v(d) be the second derivative of -11/15*d**4 + 12/5*d**3 + 1/25*d**5 + 0*d**2 + 62*d + 0. Suppose v(y) = 0. What is y?
0, 2, 9
Let u(f) be the first derivative of f**7/105 - f**6/60 - f**5/15 + 75*f**2/2 - 202. Let s(x) be the second derivative of u(x). Factor s(l).
2*l**2*(l - 2)*(l + 1)
Let c(v) be the third derivative of -v**7/420 - 7*v**6/720 + v**5/20 - v**4/18 - 330*v**2. Find s such that c(s) = 0.
-4, 0, 2/3, 1
Let l be ((-11000)/(-150) + -72)/((-2)/(-16)). Factor l + 146/3*u**2 + 6*u**4 - 112/3*u - 28*u**3.
2*(u - 1)**2*(3*u - 4)**2/3
Let w = -294 + 324. Factor -12*v**3 + w*v**2 - 35*v**2 + 7*v**3.
-5*v**2*(v + 1)
Factor -24/11*g + 10/11*g**2 + 2/11*g**3 - 72/11.
2*(g - 3)*(g + 2)*(g + 6)/11
Let w(s) be the first derivative of -1/2*s**3 + 0*s**2 + 5/16*s**4 + 1/10*s**5 - 1/24*s**6 - 24 + 0*s. Find q, given that w(q) = 0.
-2, 0, 1, 3
Let m(o) = -14*o**4 - 26*o**3 - 126*o**2 + 204*o + 278. Let g(j) = -4*j**4 - 9*j**3 - 42*j**2 + 68*j + 93. Let s(l) = 20*g(l) - 6*m(l). What is i in s(i) = 0?
-3, -1, 2, 8
Let v(a) = 2*a**3 + 8*a**2 + 4*a. Let p(b) = -2*b**3 - b**2 - 2*b. Let h be (-8)/6*(2 + 63/(-18)). Let n(z) = h*p(z) + v(z). Let n(c) = 0. Calculate c.
0, 3
Let s(d) be the second derivative of -1/72*d**4 - 10/3*d**3 - 5 - 9*d - 300*d**2. Factor s(p).
-(p + 60)**2/6
Suppose 0 = 57*g - 68*g + 198. Suppose 1 = -n + 3*k, 3 - g = -5*n - 5*k. Factor -2/25 - 8/25*x**n + 2/5*x.
-2*(x - 1)*(4*x - 1)/25
Find w, given that -1/2*w**2 - 990 + 1981/2*w = 0.
1, 1980
Let x(j) be the second derivative of -j**6/180 - j**5/20 + j**4/3 - 31*j**3/6 - j + 60. Let a(q) be the second derivative of x(q). Factor a(y).
-2*(y - 1)*(y + 4)
Factor -28*k - 245*k**2 - 4/5.
-(35*k + 2)**2/5
Determine y, given that -740*y**3 + 7*y**2 - 22*y**2 - 25*y**5 - 387 + 2277 + 43*y**4 - 435*y**2 + 1485*y - 283*y**4 = 0.
-3, -2, 7/5
Let x(i) = i**3 - 109*i**2 + 292*i + 2756. Let n be x(106). Suppose 19*p - 18*p = 2. Solve 2/17*v**p + n + 22/17*v = 0 for v.
-11, 0
Let c = 44 + -42. Suppose -c = r - 2*r. Find m, given that 2*m - 2*m**r + 5*m**3 - 4*m - 6*m**4 + 0*m + 5*m**3 = 0.
-1/3, 0, 1
Solve 162 - 47*k**4 + 416*k**2 - k**5 - 205*k - 36*k**4 - 158*k**3 - 236*k + 105*k**4 = 0.
1, 2, 9
Let l(h) = 3*h**2 - h. Let m(z) = 6*z + 14*z**2 - 21 + 63 - 3*z + 13*z. Let i(s) = -4*l(s) + m(s). Factor i(d).
2*(d + 3)*(d + 7)
Let z(l) be the first derivative of 2*l**3/21 + l**2 + 141. What is s in z(s) = 0?
-7, 0
Let h(b) be the third derivative of b**7/1155 + 107*b**6/132 - 1073*b**5/330 + 179*b**4/44 - 6222*b**2. Determine x, given that h(x) = 0.
-537, 0, 1
Suppose -23 = 21*s + 922. Let f be (2256/(-47))/(s/2). Suppose -f*c**3 + 2/5*c**2 - 14/15*c**4 + 8/15 + 32/15*c = 0. Calculate c.
-2, -1, -2/7, 1
Suppose 4 = -26*q + 4*q + 24*q. Let p = -136 - -954/7. Factor 1/7*z**3 + 0*z + 0 - p*z**4 + 1/7*z**5 + 0*z**q.
z**3*(z - 1)**2/7
Let o(y) be the second derivative of 270*y**2 + 13/6*y**6 + 67/4*y**5 + 285/4*y**4 + 15 + 5/42*y**7 + 5*y + 180*y**3. Factor o(m).
5*(m + 2)**2*(m + 3)**3
Suppose -31*m**3 - 8474*m - 8455*m + 16888*m - 5*m**4 - 61*m**2 - 6 = 0. What is m?
-3, -2, -1, -1/5
Let b = 3127402/7 + -446771. Factor -v - 1/7*v**4 - b*v**2 + v**3 + 6/7.
-(v - 6)*(v - 1)**2*(v + 1)/7
Let r(m) = m**3 - 539*m**2 + 5822*m - 14863. Let a(c) = -25*c**3 + 14555*c**2 - 157195*c + 401305. Let i(l) = -3*a(l) - 80*r(l). Find y, given that i(y) = 0.
-119, 5
Let t(c) be the second derivative of 1/4*c**5 + 235/12*c**4 + 225/2*c**2 + 29*c - 3 + 455/6*c**3. Factor t(s).
5*(s + 1)**2*(s + 45)
Let r be -1*(5 - 10 - (37 - -3)). Factor 25*u**4 + 70*u**3 + 25*u**5 - r*u**5 + 15*u**5.
-5*u**3*(u - 7)*(u + 2)
Find l, given that 50*l**2 + 95729*l + 1450*l**2 + 165*l**4 - 94969*l + 910*l**3 - 5*l**5 = 0.
-2, -1, 0, 38
Let t(w) = w**2 + 22*w + 77. Let q be t(-11). Let c be (-2)/(-8) + -1*q/16. Suppose 2*o**2 - c*o + 4/3 - 1/3*o**3 = 0. What is o?
1, 4
Let l(t) = -4*t**2 - 3844*t + 2. Let u(o) = -47*o**2 - 42286*o + 23. Let w(d) = 23*l(d) - 2*u(d). Factor w(f).
2*f*(f - 1920)
Let s = -79 + 37. Let h = s + 61. Determine o so that 25*o + h*o - 14*o - 25 - 5*o**2 = 0.
1, 5
Factor 0 - 2/5*k**4 - 44*k**3 + 0*k + 2/5*k**5 + 0*k**2.
2*k**3*(k - 11)*(k + 10)/5
Let d(v) be the second derivative of 98*v - 43/30*v**3 + 0 - 1849/20*v**2 - 1/120*v**4. Factor d(j).
-(j + 43)**2/10
Let l be -7*2*(112 + -90). Let w = 619/2 + l. Factor w*f**3 + 0 + 1/2*f - 2*f**2.
f*(f - 1)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
2*u in the form l + k*u + w*u**2 and give l.
63
Rearrange 481 - 481 + i + 209*i to the form c + j*i and give j.
210
Rearrange -343*t - 64*t - 338*t + 55*t to v + w*t and give w.
-690
Rearrange (-t - 2*t + 0*t)*(-176 + 478 - 102) to the form c*t + v and give c.
-600
Rearrange (-11*y + 21*y - 17*y)*(2*y**2 - 2*y**2 - 2*y**3)*(-2 + 1 + 3) to z + l*y + x*y**3 + g*y**4 + c*y**2 and give c.
0
Rearrange -22*y**2 + 32 - 5 - 2*y**4 - 15 - 14 + 2*y**3 to the form t + h*y**3 + c*y**2 + f*y + n*y**4 and give t.
-2
Rearrange (-4 - 2 + 5)*((1 + 0 + 0)*(-10*y**3 + 6*y**3 - 11*y**3) + (-10 - 1 - 2)*(-y**3 + 2*y**3 + y**3)) to b*y + x*y**3 + z*y**2 + k and give x.
41
Express (1 + 1 - 1)*(-4*q**4 - 104*q**4 - 215*q**4) in the form t*q + x*q**2 + a*q**3 + o*q**4 + y and give o.
-323
Rearrange (148 + 70 + 490)*(4 - 2*i - 4 - 3*i**2) to f*i**2 + l*i + p and give f.
-2124
Express 31 + 0*w**4 + 451*w**2 - 3*w**4 - 453*w**2 - 2*w**4 as h*w**2 + z*w**3 + y + x*w**4 + j*w and give h.
-2
Express -4018 + 2010 - 3*l - 25*l**2 + 2008 in the form j*l + b*l**2 + k and give b.
-25
Rearrange (2*l - 2*l + 2*l**3)*(2 + 4 - 1)*(0 - 2 + 1) + 6*l**3 + l**3 - 43*l**3 to the form t*l**3 + q*l**2 + w + n*l and give t.
-46
Rearrange -2*r + r + 0*r + (3 + 4 - 1)*(5 - 3 - 4)*(28*r - 2*r - 5*r) to the form n*r + d and give d.
0
Rearrange (-4*q**3 - q**3 + q**3)*(0*q - 5*q - 7*q) - 2*q**4 + 5*q**4 - q**4 to the form f*q**3 + g*q**2 + x*q**4 + j*q + a and give x.
50
Rearrange 42 + 19*w**4 + 46 - w**2 + 0*w**3 - 88 - w - w**3 to u*w**3 + d + v*w + h*w**2 + j*w**4 and give v.
-1
Express ((g - g - 2*g)*(-2 - 3 + 4) + g - 1 + 1)*(-72*g + 17428 - 17428) as b*g + f + q*g**2 and give q.
-216
Rearrange -7*n**3 + 2*n - 4*n**2 + 5 + 0*n**3 + 4*n**2 - n**3 to u*n**2 + x*n + s + k*n**3 and give s.
5
Express (-50*q**2 - 2*q - 217 + 217)*(-5*q + 4*q + 0*q) in the form v*q + m + u*q**2 + w*q**3 and give u.
2
Rearrange -5*c + 40*c**2 - 14*c**2 - 28*c**2 - 15*c**2 to the form o + s*c + f*c**2 and give f.
-17
Rearrange -3*r**4 + 6*r**4 + 10*r**4 - r + r + 2*r**4 + (r**3 - 4*r**2 + 4*r**2)*(2*r + 0*r + r) to the form z*r**4 + b*r + t*r**3 + u*r**2 + v and give z.
18
Rearrange (-3 + 3 + 1 - 4 + 34 - 19 + (-2 + 2 - 1)*(1 + 3 - 2))*(0*q + 2*q - q)*(11 - 11 - 2*q) to a + c*q + n*q**2 and give n.
-20
Rearrange -5 - 2*p**3 - 2*p**2 - 5*p**3 + 7 + (-4 + 2*p**2 + 4)*(-4*p + 4*p + 3*p) to n*p**2 + f*p**3 + b + u*p and give n.
-2
Express (-5*q + q + q)*(11 - 11 + 12*q)*(0*q - q**2 + 0*q) as p*q**3 + v + l*q**4 + u*q + s*q**2 and give l.
36
Express (-7*y**3 + 2*y**3 + 4*y**3)*(19*y - 46*y - 26*y) as l + o*y**4 + x*y + z*y**3 + b*y**2 and give o.
53
Express -1 + 4*k**4 + 172*k**2 - 6*k**4 - 169*k**2 + 10*k**3 + 4*k**4 in the form z*k**2 + c*k**4 + j*k + u*k**3 + t and give j.
0
Express ((0 - x + 0)*(0 - 4 + 5) - 4*x - x + 11*x)*(12*x**2 + 20 - 20) in the form k + c*x + w*x**3 + b*x**2 and give w.
60
Rearrange -4*b**2 + 5*b**2 - 3*b**2 + (0*b**2 + 0*b**2 - b**2)*(5 + 0 - 2) + (-6 + 3 - 4)*(-b**2 + 3*b**2 - 3*b**2) to d*b + j + c*b**2 and give j.
0
Rearrange -304*w**2 - 15*w - 11*w + 26*w to the form b*w**2 + i + d*w and give b.
-304
Rearrange -26*q**3 - 54*q + 52*q + 0*q**2 + 3 - 2*q**4 - 2*q**2 + q**2 to the form w + h*q + i*q**4 + v*q**3 + y*q**2 and give h.
-2
Express -72*i - i**4 + 1 + 146*i - 70*i - 2 as v*i**3 + y*i + o + w*i**2 + m*i**4 and give m.
-1
Rearrange (-40 + 63 + 55)*(-x**2 + x**2 - x**2) to the form c + u*x**2 + o*x and give u.
-78
Express -9*i - 6*i - 8*i**3 + 9 - 10 + 13*i**3 in the form s*i**3 + a*i**2 + k + u*i and give u.
-15
Rearrange 0 + 34*g - 5 + 28*g - 23*g to n*g + a and give a.
-5
Express (121*l + 35*l - 14*l)*(-1 - 4 + 2)*(-9 + 13 + 7) as v + w*l and give w.
-4686
Rearrange 110079*x - 110079*x + 3190*x**2 to b + k*x + m*x**2 and give m.
3190
Rearrange (2*l + 3*l - 3*l)*(-85 - 59 + 5 - 5) to the form c + f*l and give f.
-288
Rearrange (-q**2 + 6*q**2 - 3*q**2)*(10*q**2 - 2 - 246*q + 245*q + 1) to h*q**2 + z*q**3 + g*q**4 + f + t*q and give z.
-2
Express (k - 3*k + 3*k)*(6 - 14 - 6) + (3 - 1 + 0)*(-k + 4*k - 2*k) - k - 4 + 4 in the form w + h*k and give h.
-13
Rearrange 35*q**2 - 21*q**2 - 36*q**2 + (8*q - 15*q - 6*q)*(-2*q + 3*q + 0*q) to the form p*q**2 + v*q + s and give p.
-35
Rearrange 77 - 155*p + 308*p - 151*p + 0 + 3*p**3 to m*p**2 + a + l*p**3 + u*p and give a.
77
Rearrange -306*h**2 + 19*h**3 - 21*h**3 - 4*h + 7*h to l*h**3 + v + j*h + q*h**2 and give q.
-306
Rearrange -21*y - 188*y + 32*y - 115*y to the form f*y + q and give f.
-292
Express -1193 + 598 + 269*h + 594 as y + s*h and give y.
-1
Express (5 - 2 - 1)*(0 + 2*n + 0)*(3 - 3 + 1 + 79 - 18 - 34 + (0 - 1 + 2)*(-1 + 3 - 4) + 2 + 0 + 0) in the form w + z*n and give z.
112
Rearrange (-4*w - 4*w - 3*w)*(-2 - 7 - 8) + (-4 + 3 + 2)*(-5*w + 4*w + 8*w) to the form t*w + r and give t.
194
Rearrange -21*h**3 - 2*h**2 + 25*h**2 - 1 + 19*h**3 + 35*h**2 to k + c*h**3 + s*h + q*h**2 and give c.
-2
Express (-23*r - 24*r + 11*r + 2*r - 5*r + r + (2 - 4 + 0)*(-3*r + 3*r + 2*r) + 6*r - 3*r - 4*r)*(3 + 2 - 3) as g + l*r and give l.
-86
Express -30 + 30 + 459*h**2 - 14*h**2 as b*h**2 + o*h + n and give b.
445
Express 19*f - 20*f - 106 + 143 in the form y*f + p and give y.
-1
Express 610*a + 323*a - 52*a - 179*a in the form o*a + u and give o.
702
Express g + 1764*g**3 - 4*g**4 - 1760*g**3 - 2*g**4 - 3 as a*g**4 + s*g + d + j*g**2 + k*g**3 and give j.
0
Rearrange 4*c**2 + 2 + c**3 + 49*c + 5*c**2 + 50*c - 3*c**3 - 105*c to the form r*c**2 + b + p*c + z*c**3 and give p.
-6
Express 4*d + 1 - 1 - d + 0*d - 2*d + d - 3627 + 48*d + 3627 + (0 - 1 + 0)*(-3*d + 5*d - d) in the form p*d + v and give p.
49
Express 0*p**4 - 5*p**4 - p**2 + 3*p**4 + (2 + 2 - 2)*(p - 5*p + 8*p)*(2*p**3 - 2*p**3 + 4*p**3) in the form n*p + c*p**3 + r*p**2 + o*p**4 + k and give o.
30
Express -14054 - 12*v + 14054 - v**2 - 3*v**3 in the form l*v + g*v**3 + s*v**2 + o and give g.
-3
Express (0*k**2 + 0*k**2 - 2*k**2)*(-5459 - 1497*k + 5459) - 1 + 1 + 2*k**3 as x*k**2 + g*k**3 + z + l*k and give z.
0
Express -a**2 - 7*a - 8*a - 5 + 2 + 2*a**2 + 5 + 2*a**3 as h + l*a + x*a**3 + p*a**2 and give x.
2
Rearrange -m**3 + 13*m**4 - 1 + 31*m**4 + 9*m**4 + m to u*m**3 + x + f*m**2 + l*m + i*m**4 and give i.
53
Rearrange 14*t**2 + t**2 - 8*t**2 + t**3 - 8*t**2 - 12 - 12*t**2 to x + p*t**3 + u*t + y*t**2 and give p.
1
Rearrange 4*u**4 - 15*u + 6*u**4 + 2*u**3 - 5*u**2 - 12*u**4 to m*u**2 + c*u**4 + p + s*u + a*u**3 and give m.
-5
Rearrange -4*y**2 - 22*y + 68*y - 22*y - 26*y + 4*y**3 + 2*y**4 + y**2 to the form v*y**3 + o + h*y**4 + r*y**2 + l*y and give r.
-3
Rearrange 3 - 311*i**2 - 3 + 0 - 1130*i**2 to the form m*i**2 + a*i + t and give m.
-1441
Express 4098 + 4115*v - 1364 - 1362 - 1371 - v - 4 + 4 + 4*v - 5*v + 3*v + (-3 + 2 + 0)*(-4 - v + 4) - 2*v - 2*v + 3*v as t + d*v and give d.
4116
Rearrange (-2*q**2 - q + q)*(3 + 0 - 1) + 0*q + 2*q**2 + 0*q - 5*q**2 + 4*q**2 - 3*q**2 + (-3*q + 3*q + 2*q)*(q - 3*q + 3*q) to w*q + l + m*q**2 and give m.
-4
Rearrange (-4*j**2 + 1 - 1)*(-47 + 16*j + 47) + 2*j**3 + 0*j**3 + 0*j**3 to the form v + r*j**3 + t*j + c*j**2 and give r.
-62
Rearrange -123*z**4 + 7*z - 54*z**2 + 201*z**4 + 1 - 76*z**4 to x + l*z**2 + d*z**4 + y*z + g*z**3 and give y.
7
Express -474 + 67*q**2 + 233 + 241 in the form v + u*q**2 + b*q and give u.
67
Rearrange (0 + 2 + 4)*(3 - 2 - 2)*(2 - 4 - 6)*(-16 + 6 - 2*a + 9) to the form z + c*a and give z.
-48
Express 99 - 24*k**4 + k + 27*k**4 - 98 in the form r*k**2 + b*k**3 + d + s*k + x*k**4 and give x.
3
Express ((0*w + 4*w - 3*w)*(-2*w + w + 4*w) + (3*w - w - 3*w)*(-5*w + 0*w + 4*w))*(14 - 3*w - 14) in the form g*w**2 + m + i*w + n*w**3 and give i.
0
Rearrange -w**2 + 2*w + 3*w**2 - 16*w**2 + 0*w - 22*w**4 - 8*w**2 to the form k + r*w + g*w**2 + l*w**3 + c*w**4 and give r.
2
Rearrange 1 - x - 1 - 33 + 8*x + 33 + (-x - 3*x - 5*x)*(-2 - 4 + 3) to o + a*x and give a.
34
Express (-6*f - 31 + 31)*(-6*f + 2*f + 5*f)*(0 + 2 + 27) as p + v*f + d*f**2 and give d.
-174
Express (-7*r**2 - 118 + 114 - 5*r**2)*(2 - 2 - 3 + (3 + 1 - 3)*(2 + 3 - 6) - 2 + 1 + 0) in the form l*r + g + y*r**2 and give y.
60
Rearrange -2 + 2 - 76*q**2 + 158*q**2 + 184*q**2 to the form n*q + w*q**2 + z and give w.
266
Rearrange 631*a - 422320 + 422320 to the form h
|
{
"pile_set_name": "DM Mathematics"
}
|
Give prob of sequence qd.
4/21
Three letters picked without replacement from {a: 2, q: 1, n: 8, s: 3, u: 2, w: 1}. What is prob of sequence sus?
1/340
Calculate prob of sequence vkk when three letters picked without replacement from wmpkmwksv.
1/252
Calculate prob of sequence vcvs when four letters picked without replacement from {v: 5, s: 2, a: 1, f: 7, c: 1}.
1/1092
What is prob of sequence gmmm when four letters picked without replacement from mmmmmmmmmmmgg?
3/26
Two letters picked without replacement from oooooo. What is prob of sequence oo?
1
Calculate prob of sequence rt when two letters picked without replacement from {r: 2, d: 1, t: 3, h: 6, u: 6}.
1/51
Calculate prob of sequence dpd when three letters picked without replacement from dppppdpd.
5/56
Three letters picked without replacement from {o: 3, y: 2, q: 13}. Give prob of sequence oqo.
13/816
What is prob of sequence bgke when four letters picked without replacement from aebajkg?
1/840
Calculate prob of sequence uup when three letters picked without replacement from {p: 5, u: 2, e: 2}.
5/252
Four letters picked without replacement from cvvyvvcvyyvv. Give prob of sequence vvcv.
7/198
Calculate prob of sequence err when three letters picked without replacement from {r: 11, e: 5}.
55/336
Two letters picked without replacement from flaenffnf. Give prob of sequence ae.
1/72
Two letters picked without replacement from ytbbbttytntyyty. Give prob of sequence yn.
1/42
Four letters picked without replacement from vvfvvbvvzxk. Give prob of sequence kfbv.
1/1320
Calculate prob of sequence ggg when three letters picked without replacement from llggllllllllllgly.
1/680
Calculate prob of sequence sjy when three letters picked without replacement from {s: 2, j: 1, y: 1}.
1/12
What is prob of sequence ss when two letters picked without replacement from skkjkjjskkkykkys?
1/40
What is prob of sequence bbr when three letters picked without replacement from {w: 1, r: 2, b: 2, o: 1, g: 1}?
2/105
Calculate prob of sequence mmm when three letters picked without replacement from {m: 3, v: 5}.
1/56
Three letters picked without replacement from puwwuwcwuwwgpwu. What is prob of sequence wcw?
1/65
Four letters picked without replacement from pnni. What is prob of sequence npni?
1/12
What is prob of sequence kgk when three letters picked without replacement from {y: 5, g: 2, k: 2, i: 3}?
1/330
Three letters picked without replacement from {l: 5, y: 1, z: 6, t: 3, n: 3}. Give prob of sequence nzz.
5/272
Two letters picked without replacement from {j: 1, u: 1, a: 1, z: 2, i: 2, m: 1}. What is prob of sequence jz?
1/28
What is prob of sequence xcx when three letters picked without replacement from ccxcccxcxc?
7/120
Four letters picked without replacement from {m: 2, u: 3, v: 4}. Give prob of sequence vvum.
1/42
Two letters picked without replacement from slbpihbi. What is prob of sequence bh?
1/28
Four letters picked without replacement from {x: 3, s: 2, r: 3, g: 1, f: 3, d: 2}. What is prob of sequence dfgf?
1/2002
What is prob of sequence idb when three letters picked without replacement from {n: 11, i: 4, b: 1, d: 3}?
2/969
What is prob of sequence oz when two letters picked without replacement from {h: 6, o: 4, z: 4}?
8/91
Calculate prob of sequence ggyg when four letters picked without replacement from {g: 7, t: 2, y: 4}.
7/143
Calculate prob of sequence tt when two letters picked without replacement from {b: 12, t: 6}.
5/51
Three letters picked without replacement from lxxlxlxllxll. What is prob of sequence lxl?
7/44
What is prob of sequence wt when two letters picked without replacement from tww?
1/3
Calculate prob of sequence kpkk when four letters picked without replacement from pppkpppkpkppkpppppp.
5/1292
Calculate prob of sequence pz when two letters picked without replacement from {w: 1, z: 1, p: 3}.
3/20
Four letters picked without replacement from upuiriu. What is prob of sequence puiu?
1/70
Calculate prob of sequence ze when two letters picked without replacement from {b: 1, z: 1, o: 1, e: 1, a: 1}.
1/20
Two letters picked without replacement from {y: 4, u: 14}. What is prob of sequence yy?
2/51
Two letters picked without replacement from ffffffffffrffrrffrff. What is prob of sequence fr?
16/95
Calculate prob of sequence ggg when three letters picked without replacement from gyvvygvvygvy.
1/220
What is prob of sequence ggkk when four letters picked without replacement from kkkkkkkgkkkkkkkkgkk?
1/171
Four letters picked without replacement from {p: 2, q: 1, o: 4, z: 1, e: 7, a: 3}. What is prob of sequence pqoo?
1/3060
Three letters picked without replacement from {l: 1, v: 1, t: 1, q: 1, e: 1}. Give prob of sequence qvt.
1/60
Calculate prob of sequence vu when two letters picked without replacement from {v: 4, o: 5, u: 7}.
7/60
What is prob of sequence wo when two letters picked without replacement from {w: 2, o: 3}?
3/10
What is prob of sequence xp when two letters picked without replacement from uupsxoe?
1/42
Three letters picked without replacement from {c: 3, k: 1, i: 2, x: 6, b: 2}. Give prob of sequence xxb.
5/182
Two letters picked without replacement from jnjnxuuixjdunjj. What is prob of sequence ij?
1/42
Two letters picked without replacement from wwwjwwvvwwvvwwwvww. Give prob of sequence wj.
2/51
Two letters picked without replacement from {n: 2, x: 1, w: 1, e: 1}. What is prob of sequence ex?
1/20
Four letters picked without replacement from auaat. What is prob of sequence aata?
1/20
Three letters picked without replacement from ddddkdkd. Give prob of sequence ddd.
5/14
What is prob of sequence js when two letters picked without replacement from sbbbbbsanbbabasbjns?
2/171
What is prob of sequence kz when two letters picked without replacement from {k: 3, a: 2, q: 1, g: 4, z: 9}?
3/38
What is prob of sequence ydy when three letters picked without replacement from sydydddyyyy?
4/33
Calculate prob of sequence oy when two letters picked without replacement from {o: 2, g: 1, y: 2, n: 1, w: 1}.
2/21
What is prob of sequence ke when two letters picked without replacement from vqekqxvvivqqv?
1/156
Four letters picked without replacement from {i: 3, t: 3, n: 5, b: 1}. Give prob of sequence innn.
1/66
Two letters picked without replacement from {i: 17, h: 1}. Give prob of sequence ih.
1/18
What is prob of sequence ut when two letters picked without replacement from {j: 1, i: 2, u: 3, t: 5, p: 1, n: 1}?
5/52
What is prob of sequence eq when two letters picked without replacement from eeeeeqpee?
7/72
Two letters picked without replacement from {t: 2, a: 2, k: 1, f: 2, s: 1}. What is prob of sequence kf?
1/28
Three letters picked without replacement from wcywywwsywoo. What is prob of sequence wcs?
1/264
Three letters picked without replacement from {x: 1, h: 1, v: 4, a: 6, p: 2, z: 1}. What is prob of sequence zpx?
1/1365
Calculate prob of sequence rqk when three letters picked without replacement from qrrkoookrr.
1/90
Two letters picked without replacement from {z: 3, j: 1, y: 2, o: 4, g: 2}. What is prob of sequence yj?
1/66
Calculate prob of sequence oso when three letters picked without replacement from sossosssosssoosssso.
65/969
Calculate prob of sequence gkg when three letters picked without replacement from mgkmgcmmmrmgmrggg.
1/136
Calculate prob of sequence cxwb when four letters picked without replacement from ypbxwbbxwcxyxyppbbxb.
1/1938
Calculate prob of sequence ddll when four letters picked without replacement from {d: 9, l: 10}.
45/646
Calculate prob of sequence hh when two letters picked without replacement from {d: 5, h: 8}.
14/39
Calculate prob of sequence cch when three letters picked without replacement from {c: 3, h: 15, d: 2}.
1/76
Two letters picked without replacement from iwiiviwiwrrr. Give prob of sequence ww.
1/22
Two letters picked without replacement from ypeqj. Give prob of sequence jq.
1/20
What is prob of sequence liil when four letters picked without replacement from {i: 2, n: 2, l: 9}?
6/715
Three letters picked without replacement from {f: 1, h: 4, i: 5}. Give prob of sequence ihf.
1/36
Three letters picked without replacement from {q: 1, j: 3}. What is prob of sequence qjj?
1/4
What is prob of sequence asup when four letters picked without replacement from sa
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 3863, 7910, 12143, 16562, 21167?
93*l**2 + 3768*l + 2
What is the v'th term of -8180, -32685, -73528, -130709, -204228, -294085?
-8169*v**2 + 2*v - 13
What is the t'th term of -40370, -40367, -40364?
3*t - 40373
What is the q'th term of -430, -850, -1282, -1732, -2206, -2710?
-q**3 - 413*q - 16
What is the k'th term of 2315, 2319, 2329, 2345, 2367, 2395?
3*k**2 - 5*k + 2317
What is the v'th term of -1818993, -3637985, -5456977?
-1818992*v - 1
What is the t'th term of 164, -258, -956, -1924, -3156?
t**3 - 144*t**2 + 3*t + 304
What is the n'th term of -38, 23, 166, 391?
41*n**2 - 62*n - 17
What is the t'th term of -2484360, -4968722, -7453084, -9937446, -12421808?
-2484362*t + 2
What is the n'th term of 267, 1091, 3041, 6681, 12575, 21287?
94*n**3 - n**2 + 169*n + 5
What is the s'th term of -128, 217, 792, 1597?
115*s**2 - 243
What is the m'th term of -225, -763, -1695, -3015, -4717, -6795, -9243?
m**3 - 203*m**2 + 64*m - 87
What is the c'th term of 13972, 27990, 42008, 56026, 70044?
14018*c - 46
What is the y'th term of -99313, -99311, -99309, -99307?
2*y - 99315
What is the s'th term of -3390, -13559, -30506, -54231?
-3389*s**2 - 2*s + 1
What is the l'th term of -57, -111, -179, -267, -381?
-l**3 - l**2 - 44*l - 11
What is the v'th term of 953, 1416, 2187, 3260, 4629, 6288, 8231?
-v**3 + 160*v**2 - 10*v + 804
What is the h'th term of -684, -1347, -1988, -2595, -3156, -3659, -4092?
2*h**3 - h**2 - 674*h - 11
What is the g'th term of 1381261, 1381262, 1381263, 1381264, 1381265?
g + 1381260
What is the y'th term of -2113, -4263, -6411, -8557?
y**2 - 2153*y + 39
What is the z'th term of 6121, 12262, 18419, 24598, 30805, 37046, 43327?
z**3 + 2*z**2 + 6128*z - 10
What is the u'th term of -9775, -19551, -29319, -39073, -48807?
u**3 - 2*u**2 - 9777*u + 3
What is the c'th term of -4, 44, 156, 344, 620, 996?
2*c**3 + 20*c**2 - 26*c
What is the p'th term of 2502, 5005, 7508, 10011, 12514?
2503*p - 1
What is the b'th term of -326, -591, -750, -755, -558, -111, 634, 1725?
8*b**3 + 5*b**2 - 336*b - 3
What is the h'th term of 40700, 81375, 122024, 162647, 203244, 243815?
-13*h**2 + 40714*h - 1
What is the z'th term of -467, -667, -979, -1397, -1915, -2527?
z**3 - 62*z**2 - 21*z - 385
What is the b'th term of -500, -673, -516, -29, 788, 1935?
165*b**2 - 668*b + 3
What is the h'th term of -653, -693, -733, -773, -813?
-40*h - 613
What is the v'th term of 9370, 18860, 28350, 37840?
9490*v - 120
What is the l'th term of -54199, -54197, -54195, -54193, -54191?
2*l - 54201
What is the q'th term of 3697, 3710, 3733, 3766, 3809?
5*q**2 - 2*q + 3694
What is the w'th term of 2526, 2437, 2208, 1773, 1066, 21, -1428, -3347?
-11*w**3 - 4*w**2 + 2541
What is the b'th term of 51, 29, 13, 15, 47?
2*b**3 - 9*b**2 - 9*b + 67
What is the r'th term of -749, -3185, -7309, -13121, -20621?
-844*r**2 + 96*r - 1
What is the y'th term of -11538, -11580, -11622, -11664?
-42*y - 11496
What is the j'th term of -25, -28, -55, -118, -229, -400, -643?
-2*j**3 + 11*j - 34
What is the n'th term of -465, -586, -701, -810, -913, -1010?
3*n**2 - 130*n - 338
What is the d'th term of 2031350, 4062699, 6094048, 8125397?
2031349*d + 1
What is the i'th term of -3059, -6143, -9241, -12359, -15503, -18679?
-i**3 - i**2 - 3074*i + 17
What is the f'th term of -1203, -2472, -3821, -5244, -6735?
f**3 - 46*f**2 - 1138*f - 20
What is the y'th term of 10231, 20468, 30705, 40942?
10237*y - 6
What is the y'th term of -16, 18, 84, 182, 312?
16*y**2 - 14*y - 18
What is the k'th term of 743681, 743683, 743685, 743687?
2*k + 743679
What is the h'th term of -1647, -1622, -1581, -1524, -1451, -1362, -1257?
8*h**2 + h - 1656
What is the n'th term of -11526, -23040, -34554, -46068?
-11514*n - 12
What is the a'th term of -75, -159, -223, -267, -291?
10*a**2 - 114*a + 29
What is the i'th term of -1285970, -1285973, -1285976, -1285979?
-3*i - 1285967
What is the a'th term of -801, -824, -853, -882, -905, -916, -909, -878?
a**3 - 9*a**2 - 3*a - 790
What is the l'th term of 14, 43, 92, 173, 298, 479, 728?
2*l**3 - 2*l**2 + 21*l - 7
What is the r'th term of 23100, 23099, 23098, 23097?
-r + 23101
What is the m'th term of 753, 1100, 1445, 1788, 2129, 2468, 2805?
-m**2 + 350*m + 404
What is the i'th term of 111845, 111854, 111869, 111890?
3*i**2 + 111842
What is the t'th term of 789562, 789559, 789554, 789547?
-t**2 + 789563
What is the h'th term of 551, 216, -119, -454, -789, -1124?
-335*h + 886
What is the p'th term of 3516, 3569, 3622, 3675?
53*p + 3463
What is the j'th term of 151, 132, 103, 64, 15, -44, -113?
-5*j**2 - 4*j + 160
What is the n'th term of -5932, -11846, -17760, -23674, -29588, -35502?
-5914*n - 18
What is the m'th term of 86, 184, 264, 326, 370?
-9*m**2 + 125*m - 30
What is the b'th term of 378551, 757103, 1135655, 1514207?
378552*b - 1
What is the q'th term of -3605, -3619, -3659, -3737, -3865, -4055, -4319, -4669?
-2*q**3 - q**2 + 3*q - 3605
What is the z'th term of 81, 329, 763, 1401, 2261, 3361, 4719, 6353?
3*z**3 + 75*z**2 + 2*z + 1
What is the f'th term of -47, -104, -191, -314, -479, -692, -959, -1286?
-f**3 - 9*f**2 - 23*f - 14
What is the h'th term of -20428, -20419, -20410, -20401, -20392?
9*h - 20437
What is the a'th term of -6249, -12491, -18739, -24987, -31229, -37459, -43671?
a**3 - 9*a**2 - 6222*a - 19
What is the t'th term of -5544, -5553, -5584, -5649, -5760, -5929, -6168?
-2*t**3 + t**2 + 2*t - 5545
What is the p'th term of 2389, 2396, 2409, 2428, 2453, 2484, 2521?
3*p**2 - 2*p + 2388
What is the y'th term of 1786, 1794, 1818, 1864, 1938?
y**3 + 2*y**2 - 5*y + 1788
What is the y'th term of 22848, 91406, 205674, 365652, 571340, 822738, 1119846?
22855*y**2 - 7*y
What is the z'th term of 2090, 2303, 2514, 2723, 2930?
-z**2 + 216*z + 1875
What is the x'th term of -3892, -3820, -3702, -3538, -3328?
23*x**2 + 3*x - 3918
What is the b'th term of -117588, -235174, -352760, -470346, -587932, -705518?
-117586*b - 2
What is the t'th term of 104, 119, 162, 239, 356, 519?
t**3 + 8*t**2 - 16*t + 111
What is the c'th term of 511171, 511173, 511177, 511183?
c**2 - c + 511171
What is the i'th term of 30449, 60898, 91347, 121796, 152245, 182694?
30449*i
What is the u'th term of -4758, -4832, -4958, -5142, -5390, -5708, -6102?
-u**3 - 20*u**2 - 7*u - 4730
What is the q'th term of -90, -141, -192, -243, -294?
-51*q - 39
What is the a'th term of 509, 1047, 1613, 2213, 2853, 3539?
a**3 + 8*a**2 + 507*a - 7
What is the y'th term of 2694, 5428, 8162, 10896, 13630, 16364?
2734*y - 40
What is the m'th term of 862, 812, 760, 706, 650, 592, 532?
-m**2 - 47*m + 910
What is the n'th term of -5276, -21097, -47470, -84407, -131920, -190021?
-2*n**3 - 5264*n**2 - 15*n + 5
What is the p'th term of 81, 307, 683, 1209, 1885, 2711?
75*p**2 + p + 5
What is the j'th term of -5528, -22150, -49852, -88640, -138520, -199498, -271580?
-j**3 - 5534*j**2 - 13*j + 20
What is the p'th term of 72230, 144459, 216688, 288917, 361146, 433375?
72229*p + 1
What is the l'th term of -3138, -6284, -9442, -12612, -15794, -18988, -22194?
-6*l**2 - 3128*l - 4
What is the y'th term of -32459, -64938, -97417?
-32479*y + 20
What is the l'th term of 167, 216, 305, 440, 627, 872, 1181?
l**3 + 14*l**2 + 152
What is the l'th term of 264176, 528350, 792524?
264174*l + 2
What is the u'th term of 3301, 6640, 9979, 13318, 16657?
3339*u - 38
What is the m'th term of 9715, 9724, 9733?
9*m + 9706
What is the n'th term of 177, 211, 267, 345, 445, 567?
11*n**2 + n + 165
What is the h'th term of -884, -3630, -8248, -14738, -23100, -33334, -45440?
-936*h**2 + 62*h - 10
What is the a'th term of -194088, -388173, -582258, -776343, -970428?
-194085*a - 3
What is the d'th term of -1597, -1663, -1777, -1945, -2173, -2467, -2833, -3277?
-d**3 - 18*d**2 - 5*d - 1573
What is the a'th term of -350, -1284, -2874, -5150, -8142, -11880, -16394?
-5*a**3 - 298*a**2 - 5*a - 42
What is the b'th term of -523, -923, -1323, -1723, -2123, -2523?
-400*b - 123
What is the o'th term of -2387, -2527, -2667, -2807, -2947, -3087?
-140*o - 2247
What is the j'th term of -31029, -62031, -93023, -123999, -154953?
j**3 - j**2 - 31006*j - 23
What is the o'th term of -13258, -13261, -13262, -13261?
o**2 - 6*o - 13253
What is the b'th term of 560, 697, 412, -295?
-211*b**2 + 770*b + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
: 4, z: 3, i: 1}. Give prob of sequence zi.
3/56
What is prob of sequence nn when two letters picked without replacement from {r: 1, n: 2}?
1/3
What is prob of sequence pyp when three letters picked without replacement from {q: 3, y: 6, p: 6}?
6/91
What is prob of sequence fmme when four letters picked without replacement from {c: 2, f: 1, m: 9, e: 1}?
3/715
Four letters picked without replacement from {s: 8, a: 2}. What is prob of sequence aass?
1/45
Calculate prob of sequence yr when two letters picked without replacement from ryyyl.
3/20
What is prob of sequence jo when two letters picked without replacement from uosujjjjjjuj?
7/132
Three letters picked without replacement from {i: 1, g: 1, f: 7, t: 4}. Give prob of sequence ffg.
7/286
Calculate prob of sequence gwwh when four letters picked without replacement from wggwghgldl.
1/630
What is prob of sequence io when two letters picked without replacement from nntntottzin?
1/110
Two letters picked without replacement from {d: 2, l: 1, j: 4, g: 6}. What is prob of sequence dl?
1/78
Two letters picked without replacement from {t: 1, u: 17}. What is prob of sequence uu?
8/9
What is prob of sequence gl when two letters picked without replacement from {y: 1, g: 1, l: 2, e: 1}?
1/10
Three letters picked without replacement from ssssgssggss. Give prob of sequence sss.
56/165
Two letters picked without replacement from {w: 1, a: 3, n: 2, r: 2, c: 1, d: 3}. Give prob of sequence wa.
1/44
Two letters picked without replacement from {b: 1, e: 2, t: 9, j: 4}. What is prob of sequence jt?
3/20
Three letters picked without replacement from bbiucbgbci. What is prob of sequence ubc?
1/90
Calculate prob of sequence necc when four letters picked without replacement from {y: 4, o: 5, w: 1, c: 5, e: 1, n: 1}.
1/2856
What is prob of sequence ppd when three letters picked without replacement from {d: 2, z: 3, p: 5, t: 1, r: 1}?
1/33
Two letters picked without replacement from {w: 3, n: 6, o: 3, r: 2, z: 5, p: 1}. Give prob of sequence ow.
9/380
Four letters picked without replacement from {h: 17, j: 2}. Give prob of sequence jhhj.
1/171
Two letters picked without replacement from zbzbzbbzzzbzzbzbzbbz. What is prob of sequence bb?
18/95
Two letters picked without replacement from lqyylyuquyyygllyg. Give prob of sequence ly.
7/68
What is prob of sequence czsy when four letters picked without replacement from zcyshkzk?
1/840
Two letters picked without replacement from xiirgrixrrrixrggxg. What is prob of sequence gx?
8/153
What is prob of sequence pp when two letters picked without replacement from {p: 7, j: 12}?
7/57
Two letters picked without replacement from xjvvxjcxyjvvjj. What is prob of sequence vy?
2/91
Two letters picked without replacement from {y: 2, q: 5, i: 1, j: 1, l: 1}. Give prob of sequence il.
1/90
What is prob of sequence oo when two letters picked without replacement from ccocccco?
1/28
Two letters picked without replacement from {c: 7, o: 3}. What is prob of sequence oo?
1/15
Calculate prob of sequence gqq when three letters picked without replacement from {g: 6, q: 4}.
1/10
Two letters picked without replacement from {z: 2, h: 4, b: 2, w: 3, l: 6}. Give prob of sequence lz.
3/68
Three letters picked without replacement from pujpupjpuujupepqe. Give prob of sequence upq.
1/136
Two letters picked without replacement from {m: 3, z: 2, s: 5, f: 3}. What is prob of sequence zf?
1/26
Three letters picked without replacement from {t: 2, h: 13, p: 5}. Give prob of sequence pth.
13/684
What is prob of sequence oqq when three letters picked without replacement from {q: 14, o: 4}?
91/612
Two letters picked without replacement from {i: 1, q: 2, y: 7}. What is prob of sequence yq?
7/45
Calculate prob of sequence so when two letters picked without replacement from {s: 2, p: 1, j: 7, y: 3, o: 1}.
1/91
What is prob of sequence rvy when three letters picked without replacement from {v: 4, y: 1, l: 9, r: 1}?
2/1365
Two letters picked without replacement from ttfpbfqlflbfqbl. Give prob of sequence ff.
2/35
Two letters picked without replacement from {f: 7}. What is prob of sequence ff?
1
Three letters picked without replacement from juuewuuuurwwurjfu. What is prob of sequence ure?
1/255
What is prob of sequence rqqo when four letters picked without replacement from {q: 2, b: 2, o: 1, n: 9, r: 2, c: 4}?
1/29070
Three letters picked without replacement from {v: 2, k: 1, j: 2}. What is prob of sequence jvv?
1/15
Calculate prob of sequence pd when two letters picked without replacement from {p: 1, b: 1, t: 3, d: 10}.
1/21
Two letters picked without replacement from aczdadrjdzzjdza. What is prob of sequence cz?
2/105
Two letters picked without replacement from yyyyuyuyyyyy. Give prob of sequence uu.
1/66
Two letters picked without replacement from {j: 5, e: 3}. What is prob of sequence ej?
15/56
Three letters picked without replacement from {e: 1, c: 2, g: 12, q: 4}. What is prob of sequence geg?
22/969
Calculate prob of sequence paa when three letters picked without replacement from {a: 6, p: 4}.
1/6
Two letters picked without replacement from {w: 3, p: 1}. What is prob of sequence wp?
1/4
Three letters picked without replacement from hiihiii. What is prob of sequence iih?
4/21
Three letters picked without replacement from ezjedzlzjxzxz. Give prob of sequence djl.
1/858
Four letters picked without replacement from tttttjtjttjtjtjt. What is prob of sequence tttj?
165/1456
Three letters picked without replacement from {u: 7, h: 1, t: 1, r: 3, c: 2}. Give prob of sequence utr.
1/104
What is prob of sequence mun when three letters picked without replacement from muuunmuum?
5/168
Two letters picked without replacement from yyyyygsgcycyycc. Give prob of sequence yc.
16/105
Two letters picked without replacement from yydfyyyfyyffyyyfdyy. Give prob of sequence dy.
4/57
Two letters picked without replacement from {i: 1, b: 2, e: 2, j: 8}. Give prob of sequence jj.
14/39
Four letters picked without replacement from {t: 1, g: 2, m: 2}. Give prob of sequence mggt.
1/30
What is prob of sequence afy when three letters picked without replacement from ceoyacocyfce?
1/660
Three letters picked without replacement from {g: 1, x: 2, l: 1, i: 2, w: 1, o: 8}. What is prob of sequence ixo?
16/1365
Four letters picked without replacement from rsxswxx. What is prob of sequence xrwx?
1/140
Four letters picked without replacement from sssssssssjstsstss. Give prob of sequence stts.
13/2040
Three letters picked without replacement from {g: 2, s: 3, c: 5, h: 1, e: 1, z: 1}. Give prob of sequence zgs.
1/286
Calculate prob of sequence utnb when four letters picked without replacement from {x: 3, n: 2, o: 1, u: 1, t: 2, b: 3}.
1/990
Three letters picked without replacement from {e: 2, y: 8, b: 2, r: 1, g: 1, h: 1}. Give prob of sequence ghb.
1/1365
Calculate prob of sequence xlx when three letters picked without replacement from {w: 4, v: 7, l: 4, x: 3}.
1/204
What is prob of sequence hhz when three letters picked without replacement from hhhzzh?
1/5
What is prob of sequence bmv when three letters picked without replacement from {y: 1, m: 3, q: 1, b: 2, v: 4}?
4/165
Three letters picked without replacement from {x: 1, b: 4, u: 1, h: 2, w: 7}. Give prob of sequence hhb.
4/1365
Calculate prob of sequence qtqs when four letters picked without replacement from {x: 1, u: 1, q: 2, s: 2, t: 1}.
1/210
Calculate prob of sequence ff when two letters picked without replacement from fccccfffcfffffffffff.
21/38
Three letters picked without replacement from xhxxfxlshfshhf. What is prob of sequence xhh?
2/91
Two letters picked without replacement from eweeweeeeeee. What is prob of sequence ww?
1/66
Two letters picked without replacement from {f: 3, v: 15}. Give prob of sequence ff.
1/51
What is prob of sequence rpqq when four letters picked without replacement from xrqxppxxxaqpxap?
1/4095
What is prob of sequence cgg when three letters picked without replacement from {c: 8, g: 2, a: 5}?
8/1365
Three letters picked without replacement from ttkwttzkktktwrktkt. What is prob of sequence ktk?
5/102
Four letters picked without replacement from xwpopyopixoxoo. What is prob of sequence opwy?
5/8008
Two letters picked without replacement from zwbbwwwdwwxdwdzbwe. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 4*j = 5*h + 19, 12*h - 16*h = j + 32. Let o(z) = 2*z - 17. Determine h*o(l) - 3*y(l).
l + 20
Let d(y) = -9680*y**2 - 480*y + 480. Let f(s) = 3*s - 3. Determine -d(t) - 160*f(t).
9680*t**2
Let v(q) = 180*q + 903. Let w be v(-5). Let n(d) = d**2 + d + 1. Let b(i) = 4*i**2 + i + 10. Calculate w*n(g) - b(g).
-g**2 + 2*g - 7
Let w(l) = 12571*l + 5*l**3 - 12571*l + 2 - 7*l**2. Let s(i) = 26*i**3 - 36*i**2 + 11. Determine -2*s(a) + 11*w(a).
3*a**3 - 5*a**2
Let i(t) = -21*t**2 - 13*t + 38. Let h(o) = 13*o**2 + 7*o - 19. What is 5*h(x) + 3*i(x)?
2*x**2 - 4*x + 19
Let q(p) = 35*p + 57*p + 3*p**2 - 4 - 89*p. Let s(a) = -a. Give -q(k) - 3*s(k).
-3*k**2 + 4
Let c(b) = -6*b + 2007. Let h(t) = t - 8. What is c(s) + 3*h(s)?
-3*s + 1983
Let a(u) = -u**3 + 6*u - 1. Suppose 2*f + 5*d + 0*d = 31, -4*f + 2*d = -2. Let j(y) = 3*y. Give f*a(c) - 6*j(c).
-3*c**3 - 3
Let q = 3 - 1. Let w(f) = 2. Let j(g) = -g + 3. Suppose -5*y + 4*o + 8 = 0, -y + 2*o - 10 = -8. Suppose 6 = -y*u - 6. Determine q*j(v) + u*w(v).
-2*v
Let d(h) = 129*h. Let f(n) = 1677*n + 3. What is -54*d(p) + 4*f(p)?
-258*p + 12
Let r(l) = 58*l - 1. Let f(c) = 117*c - 3. Let w = 29046 - 29041. Determine w*r(h) - 2*f(h).
56*h + 1
Suppose -3*t - 94 = 5*d + 14*t, 2*d = -3*t - 11. Let q(g) = g**2 - g. Suppose 7*n + 5*u = 4*n + 7, 10 = 5*u. Let v(c) = 3*c**2 - 2*c. What is d*q(x) + n*v(x)?
2*x**2 - 3*x
Let h(u) = -u**3 - 2*u**2 - u + 6. Let j(k) = -9*k**3 - 20*k**2 - 9*k + 62. What is -21*h(z) + 2*j(z)?
3*z**3 + 2*z**2 + 3*z - 2
Let k(o) = 38*o + 229. Let h(f) = 19*f + 128. Calculate 11*h(b) - 6*k(b).
-19*b + 34
Let o(q) = -18*q**2 + 4*q - 4. Let k be (6/8 - 0) + (-37)/(5032/(-170)). Let a(r) = -6*r**2 + r - 1. What is k*o(p) - 7*a(p)?
6*p**2 + p - 1
Let n(j) = -3484*j - 7. Let r(k) = -10439*k - 18. Determine -8*n(x) + 3*r(x).
-3445*x + 2
Let i(l) = 3*l**3 - 1. Let a(o) = 10*o**3 + 182*o**2 - 2. Give -2*a(u) + 6*i(u).
-2*u**3 - 364*u**2 - 2
Let f(s) = s + 5*s - 4*s. Let m(b) = -b**2 - 73*b + 152. Let x be m(2). Let g(w) be the second derivative of -23*w**3/6 - w**2/2 - 19*w. Give x*g(t) + 22*f(t).
-2*t - 2
Let k(u) = -3*u**2 + 3*u + 4. Suppose 36*l = 304 + 308. Suppose l = -28*g + 45. Let p(t) = -t**2 - t - 1. Calculate g*k(c) + 3*p(c).
-6*c**2 + 1
Let i(y) = -18*y + 88. Let k(l) = -8*l + 1. Give i(v) - 3*k(v).
6*v + 85
Let t(h) be the first derivative of -h**3/3 + h - 930. Suppose -11*j + 8*j + 3 = 0. Let d(f) = -11*f**2 + 4. Give j*d(w) - 4*t(w).
-7*w**2
Let v(k) = 1. Let c(b) = -4 - 5*b**3 - b + 1228646*b**2 - 1228646*b**2. Determine -c(w) - 2*v(w).
5*w**3 + w + 2
Let u(a) = -4*a**2 + 2*a + 1. Suppose -w = 5*z - 9, 154*w = -5*z + 151*w + 17. Let i(h) = -h**2 - h - 1. Determine z*u(k) - 2*i(k).
-2*k**2 + 4*k + 3
Suppose 2*n = -0*n - 280. Let b be 245/n*(1 + 3). Let o(y) = 8*y**3 - 6*y**2 - 7. Let x(g) = -7*g**3 + 5*g**2 + 6. What is b*x(w) - 6*o(w)?
w**3 + w**2
Let o(t) = -25*t - 5. Let a(k) = 75*k + 2. Let r(d) = -42*d - 1. Let j(s) = -4*a(s) - 7*r(s). Calculate -9*j(i) + 2*o(i).
4*i - 1
Let h = -140 - -1. Let b = h - -144. Let c(a) = -a**3 + 5*a - 5. Let s(l) = l - 1. Determine b*s(q) - c(q).
q**3
Let f be 2/(-8) + (-11)/44*(-5 - -28). Let i(t) = 6*t. Let h(a) = -7*a + 1 + 2 - 2. What is f*i(q) - 5*h(q)?
-q - 5
Suppose -4*h - 26 = -6. Let c(f) = 17*f - 62. Let b be c(4). Let u(k) = -691*k + 693*k - 3*k**2 + b*k**2 - 9. Let g(t) = t**2 + t - 4. What is h*g(a) + 2*u(a)?
a**2 - a + 2
Let g(d) = -4*d**2 + 3*d + 1. Let w(t) = -15*t**2 + 11*t + 5. Let q be ((-12)/(-21) + 30/(-21))/(11/77). Determine q*w(l) + 22*g(l).
2*l**2 - 8
Let y(w) = w**3 - w**2 - w. Let t be (-6)/4*14/7. Let l(o) = 3*o + 4 - 2 - 28508*o**2 + 28510*o**2 - o**3. Suppose 5 = -6*u + u. Determine t*y(h) + u*l(h).
-2*h**3 + h**2 - 2
Let o(h) = h + 1. Let w be (-22 - (-6 + -20))/(-2 - (-10)/4). Let j(d) = 3*d + 2. What is w*o(z) - 3*j(z)?
-z + 2
Let i(g) = -g**2 - g + 1. Let p(l) be the second derivative of l**4/12 - l**3/6 + 5*l - 297. Calculate i(h) - p(h).
-2*h**2 + 1
Let w(b) = -2*b**3 + 44*b**2 - 6*b. Let v(h) = 2*h**3 + 14*h**2 + 9*h - 61. Let m be v(-5). Let f(c) = 6*c**3 - 132*c**2 + 17*c. Determine m*f(y) - 17*w(y).
-2*y**3 + 44*y**2
Let y(p) = -3*p + 0*p - 5*p + 1 - p + 3. Let a(o) be the second derivative of -37*o**3/6 + 17*o**2/2 + 49*o. Give 2*a(k) - 9*y(k).
7*k - 2
Let i(q) = 4*q**2 + 7*q + 13. Let n = 4 + 1. Let c(v) = 111*v**2 + v + 5. Let w(h) = 84*h**2 + 2*h + 6. Let l(u) = -3*c(u) + 4*w(u). Give n*i(r) - 7*l(r).
-r**2 + 2
Let x(h) = -h**2 + h - 1. Let o(b) = 6*b**3 + 2*b**2 - 2*b + 1. Suppose -197*l + 260 = -67*l. Give l*x(i) + o(i).
6*i**3 - 1
Let x(m) = -273*m + 65. Let a(f) = 17*f - 24. Let w(v) = 4. Let u = 248 - 253. Let r(g) = u*w(g) - a(g). What is 65*r(z) - 4*x(z)?
-13*z
Let t(q) = q + 1. Let j(w) = -15*w + 57. Let k(p) = 2*p - 7. Let r(x) = -2*j(x) - 18*k(x). What is r(v) + 4*t(v)?
-2*v + 16
Let q(b) = 6*b**3 - 5*b**2 - 5*b + 554. Let g(z) = -7*z**3 + 6*z**2 + 6*z - 556. Calculate 5*g(o) + 6*q(o).
o**3 + 544
Let w(g) = -5*g**2 - 2*g + 2. Let r(i) = -9*i - 6*i**2 - 3*i**2 + 9 - 12*i**2. Suppose -16*o + 17*o = -155. Let m = o - -157. Calculate m*r(k) - 9*w(k).
3*k**2
Let o(c) = -8*c**3 - 6*c**2 + 2*c. Let i(h) = -h**2 + 19*h + 4. Let q be i(0). Let n(u) = -23*u**3 - 17*u**2 + 5*u. Calculate q*n(k) - 11*o(k).
-4*k**3 - 2*k**2 - 2*k
Let m(r) = -8*r**3 + r**2 - 6*r - 6. Let x(k) = -43555*k**3 + 2*k**2 + 0*k - 13*k - 13 + 43538*k**3. Determine -13*m(d) + 6*x(d).
2*d**3 - d**2
Let z(f) = -f**2 - f. Let m(w) = -4 - 87*w + 254*w - 171*w. Give -m(v) + 3*z(v).
-3*v**2 + v + 4
Let i(s) = -1 + 4*s**3 + 2 - 6093*s**2 + 12140*s**2 - 6047*s**2 - 5*s**3. Let q(x) = 0*x**3 - 3*x + 2*x - 3 + x**3. Determine 2*i(m) + q(m).
-m**3 - m - 1
Let y(g) be the third derivative of -5*g**4/24 + 13*g**3/6 + 1206*g**2. Let s(t) = t. Calculate 6*s(f) + y(f).
f + 13
Suppose -474 = 574*m - 653*m. Let y(w) = -13*w**2 + 6*w + 6. Let o be (14 - 0)*(-11)/(-22). Let i(h) = 14*h**2 - 7*h - 7. What is m*i(r) + o*y(r)?
-7*r**2
Let l(t) = -2*t**3 - 9*t**2 - 2*t + 37. Let j(a) = a**3 - a**2 - 2*a + 19. What is -3*j(x) + l(x)?
-5*x**3 - 6*x**2 + 4*x - 20
Let h(q) = -124*q**3. Let m(i) = -41*i**3. Suppose -4*d - 2*n = -8, -40*n - 10 = -5*d - 37*n. What is d*h(k) - 7*m(k)?
39*k**3
Let c(f) = f + 4. Let x(a) = -282*a + 78. Determine -18*c(v) + x(v).
-300*v + 6
Let u(k) = -5*k - 1. Let n = -55 - -66. Let z(v) = 3*v + n*v - 13*v. Determine u(i) + 6*z(i).
i - 1
Let n(u) = -12*u**3 - 14*u**2 + 2*u - 20. Let b(d) = -26*d**3 - 29*d**2 + 6*d - 43. Let o(t) = 4*b(t) - 9*n(t). Let w(m) = -m**2 - m - 1. Give -o(q) - 8*w(q).
-4*q**3 - 2*q**2 + 2*q
Let s(x) = 144*x + 42. Let o(q) = -97*q - 27. Determine -8*o(j) - 5*s(j).
56*j + 6
Let v(n) = -n. Let h(z) = 19*z**2 + 2*z. Let w be 0 + 60/27 + 284/(-1278). Give w*v(b) + h(b).
19*b**2
Let x(s) = -s - 2. Let a(i) = -272*i + 1362. Let c be a(5). Let y(m) = -m - 3. What is c*y(d) - 3*x(d)?
d
Let c(j) = -j**2 - j - 1. Let i(t) = 10*t**2 - 4*t - 6. Let y be 1782/(-90) + 19 + -1 + 12/15. Determine y*i(b) + 4*c(b).
-14*b**2 + 2
Let j(v) = 174*v**2 - 7*v - 6. Let s(u) = -u**2 + 2*u + 3. Calculate j(z) + 3*s(z).
171*z**2 - z + 3
Let q be -25 + 45 + 2 + 3. Let d be 12 - 3 - 12/(-4). Let h(w) = 0*w - q - 8*w - d*w. Let r(b) = b + 1. Give h(v) + 25*r(v).
5*v
Let w = -2 - -3. Let x(h) = -h**2 - h. Let s = -62 - -11. Let n = -47 - s. Let o(u) = 6*u**2 + 4*u - 2. What is n*x(l) + w*o(l)?
2*l**2 - 2
Let v(q) = 8*q**2. Let a(x) be the second derivative of -x**4/12 - x**2/2 + 5667*x. Calculate 4*a(i) + 2*v(i).
12*i**2 - 4
Let r(h) = -93*h**2 - 10*h + 25. Let k(o) = 140*o**2 + 16*o - 38. Give -5*k(i) - 8*r(i).
44*i**2 - 10
Let w(r) be the first derivative of 14*r**3/3 + 7*r**2 + 10*r - 1681. Let y(p) = -p**2 - p - 1. Calculate w(m) + 12*y(m).
2*m**2 + 2*m - 2
Let v(u) = u**2 - u. Let s be ((-30)/75)/((-2)/30). Let h(t) = -3*t**2 - 3*t**3 + 3*t + 295 + 305 - 600. Give s*v(d) + 2*h(d).
-6*d**3
Let i(s) = 2*s - 3 + 0 - s - 3*s + 2*s**2 - 2*s**3 - 2. Let l(r) = r**3 - 3*r**2 + 2*r + 6. What is -3*i(k) - 2*l(k)?
4*k**3 + 2*k + 3
Let b(y) = -38*y**2. Let d = -11531 - -11529. Let f(w) = w**2. Give d*b(n) - 114*f(n).
-38*n**2
Suppose -3*d + 4*d = 2. Let l(z) = 10*z - 1 - 8*z - 3*z + 8*z**d. Let c(o) = 15*o**2 - 2*o - 2. Let p be 135/315*(-77)/(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
7) + 4?
-5
What is the value of 1 + (-2 - (3 - 1 - 0))?
-3
Calculate (-3 + -3 - -8) + -2.
0
What is (-7 - (5 + -3)) + 6?
-3
Evaluate (-5 - -9) + -1 + 2.
5
What is -2 - (-2 + (8 - 8) - 10)?
10
What is the value of -5 - (-4 - -7 - 7)?
-1
Evaluate (2 - -11) + -28 + 7.
-8
Calculate (-1 - -8) + 2 + -1 + 2.
10
What is 1 + (4 - (2 + 6)) + -2?
-5
Evaluate 2 - (-4 + 14) - -5.
-3
What is the value of (0 - 0) + 163 + -165?
-2
(-11 - -14) + 2 + -1
4
Calculate (3 - 0) + -80 + 68.
-9
Calculate 6 - (8 + 0 + -3).
1
Calculate (0 - -12 - 4) + -4 + 0.
4
What is the value of 4 - (11 - (0 + 8))?
1
Evaluate -5 + 2 + 4 - -4.
5
Evaluate (-2 - -1) + -6 + 9 + -4.
-2
What is -1 + 1 + (6 - (1 - -1))?
4
Calculate (1 - 7) + 10 - 8.
-4
Evaluate 2 - ((4 - 11) + 6).
3
What is the value of -9 - (1 + -3) - (22 + -26)?
-3
What is the value of (-11 + 14 - 15) + 16?
4
What is the value of -2 + -2 - (-6 + 4)?
-2
4 - (15 + -5 + (3 - 7))
-2
What is 0 - (7 + 1 + -10)?
2
Evaluate (5 - 6) + -5 - (0 + -2).
-4
(1 - 0) + (-3 - -5)
3
What is the value of (-13 - -15) + (-1 - -3 - 7)?
-3
(-28 + 18 - -3) + 1 + 1
-5
What is the value of -15 + 8 + 3 + -1 - 1?
-6
What is the value of 5 - 1 - 1 - 8?
-5
Evaluate (7 - 2) + 10 + -13.
2
What is (7 - 16) + 1 + 0 + -1?
-9
What is the value of 2 + (0 - -6) - 11?
-3
What is the value of (1 - (0 - -2)) + -1 + -1?
-3
Evaluate -9 + 7 - (-2 + 3) - 0.
-3
What is the value of -1 - (-6 + 5 + 5 + 0)?
-5
Evaluate -3 + 0 - (-37 + 30).
4
-8 - (-9 - (-4 - -10))
7
-3 + -2 + (5 - 0)
0
2 - 0 - (16 + -11)
-3
Evaluate (1 - -2) + 2 + -6 + -2.
-3
4 + 2 + 34 + -39
1
0 + (5 - (2 + -2)) - 2
3
What is 14 - (28 + -17 + (2 - 6))?
7
Calculate -3 + (8 + -5 - (-4 - -8)).
-4
What is 0 + 1 - (11 - (-2 + 9))?
-3
What is -7 - (-11 + 12 - (-2 + 4))?
-6
What is the value of 3 - 0 - (3 - (3 + -2))?
1
What is (0 - -1) + 4 - (16 + -16)?
5
What is the value of 1 + 7 + (40 - 50)?
-2
What is the value of (-5 - -3 - -3) + -5 + 1?
-3
What is -4 + -5 + 6 + (2 - 5)?
-6
Evaluate -4 + 12 + 0 - (0 - -4).
4
What is the value of 10 + (6 - 13) - 4?
-1
Evaluate -1 - (-5 - (8 + -5 + -6)).
1
1 + (0 - -2) - (-22 - -22)
3
What is 3 + -3 + 3 - 6?
-3
Evaluate 5 + -12 - -4 - 0.
-3
What is 12 - (-7 + 9 + (-3 - -4))?
9
Evaluate -16 + 15 - (-1 - -8).
-8
Calculate -1 - -3 - (-2 - 1).
5
0 - (-10 - -20 - 4)
-6
What is -10 - -4 - (-4 + 2)?
-4
What is the value of (1 - 19) + (0 - -9)?
-9
Evaluate (7 - (-8 + 16 + -3)) + -2.
0
What is the value of (2 - (1 - 2 - -3)) + -4?
-4
Calculate -4 + 2 + -2 + 1 + 0.
-3
Calculate (1 + -3 - -2) + (-6 - -10).
4
Calculate -6 + 2 - (1 + -8).
3
What is -4 + (-5 - (5 + -11))?
-3
5 + 1 + 3 + -8
1
What is the value of -2 - ((2 - -2) + -11)?
5
Calculate 11 + -26 + 7 - -3.
-5
4 + (-10 - 10 - (-1 - 6))
-9
Calculate 6 + 15 + -7 - 7.
7
Calculate -6 + 23 + -12 + (-1 - 3).
1
What is the value of (1 - (1 - 8)) + -2?
6
Calculate -5 - (-8 + 9 + -9).
3
Calculate 1 + 1 - -3 - (-41 - -44).
2
What is (-3 + 2 - 5) + (0 - -2)?
-4
Evaluate (-24 - -20) + 5 + 0.
1
14 + -18 + 4 - (2 - 0)
-2
Calculate (8 - 10) + (0 - (1 + -1)).
-2
What is (-132 - -132) + 1 + 0 + 5?
6
Evaluate -3 + -6 + (-5 - -17).
3
Evaluate 0 - (1 + -1 - 4).
4
What is the value of -8 + 4 + (-1 - -11)?
6
Evaluate -1 + 2 + (0 - 0).
1
2 + -1 + -16 + 13
-2
-2 + (-4 - -3) + 8
5
16 + (-5 - 0) + -1
10
Calculate 3 - (-2 - -10 - 9).
4
What is the value of -1 - 0 - 1 - (-16 + 15)?
-1
What is 4 + (4 + -12 - -10)?
6
4 + 3 + 0 + -5
2
(-1 - -1) + (-3 - (-7 + 0))
4
What is the value of -3 + 0 - (10 + -8)?
-5
Calculate (8 - -1) + (-26 - (20 - 32)).
-5
What is the value of 6 + -4 - (3 + -9)?
8
-6 + (-1 - -4 - (1 - 0))
-4
4 - (-6 + 11 + -4)
3
What is (1 - 4) + (1 - -1)?
-1
What is the value of -9 + -2 + (0 - -3) - -3?
-5
What is -14 + 7 - (-8 - 1)?
2
What is the value of -7 - 0 - (-48 - -47)?
-6
What is -8 - -2 - ((-5 - 2) + -1)?
2
2 + (-4 - -6 - -2 - -1)
7
What is 3 - (15 - 9) - -2?
-1
Evaluate 5 + -11 + (3 + -3 - -4).
-2
Calculate 3 + -3 + 2 - (4 - -1).
-3
Calculate (-6 - (7 + -2)) + 4.
-7
What is 5 + -8 + (0 - -7)?
4
-40 - -41 - (0 + -10)
11
What is the value of 0 - 10 - (6 - (-12 + 19))?
-9
What is the value of (-6 - 1) + (14 - 3)?
4
What is 9 + (5 + -29 - -11)?
-4
Evaluate (1 - -5) + 0 + (0 - 3).
3
(10 - 7) + 0 + 1
4
Evaluate -7 + (1 - -4) + 4 - 6.
-4
Evaluate (-4 - (-12 + 2 - 1)) + -2.
5
Calculate 2 + -12 + 6 + 8.
4
Calculate 1 + 4 + 3 + -7.
1
Evaluate 0 + (1 - -3) + -5 + 0.
-1
What is 9 + (10 - (-7 - -23))?
3
-10 + (1 - -12) - 1
2
What is -1 + (1 - 6) - (-8 + 5)?
-3
Calculate -2 - (5 - 1 - 8).
2
What is 2 + (4 - (0 + 4 + 5))?
-3
What is 20 + (14 - 23) + -7?
4
15 - (21 + (-21 - -12))
3
(-2 - 0) + (14 - (23 - 14))
3
Calculate -4 + 5 + -7 + 0.
-6
0 + 1 + (16 - 18)
-1
(-1 - -3 - (-1 - -8)) + 1
-4
Calculate (-10 - -11 - 12) + 9.
-2
Evaluate -76 + 74 + 2 + 0.
0
(-2 - -1) + (3 - (6 - 1))
-3
What is the value of 4 + (-10 - 2 - (-12 + 7))?
-3
0 - (-6 - (-4 - -1))
3
What is the value of 3 - (1 + (1 - -2))?
-1
What is 0 + (-6 - -9 - -5)?
8
Calculate 0 + 0 - 0 - -5.
5
Calculate 3 + 3 - (-1 - -2).
5
(-9 - -9) + (-1 - -3)
2
What is (-14 + 22 - 2) + -12?
-6
Calculate 2 + -8 - ((8 - 14) + 4).
-4
Calculate -2 - (-5 + (-4 - -11)).
-4
What is the value of 12 + (-7 - -1) + -5?
1
Calculate 100 + -99 - (0 + -3).
4
Calculate 11 + -3 + (2 - 5).
5
Evaluate -7 + 6 + -4 + 2 + 1.
-2
What is 6 + (0 - -3) - (30 - 28)?
7
Evaluate (0 - -8) + 3 + -8.
3
Calculate (-5 + 2 - 2 - 0) + 1.
-4
What is the value of 7 - 2 - 5 - (-1 + 1)?
0
Calculate 1 + 0 - -1 - (-2 + 5).
-1
What is the value of 4 + -1 + 3 + -1 - -1?
6
Calculate -5 + -2 + (-9 - -14).
-2
Evaluate 0 + 2 - (4 + (0 - -3)).
-5
Calculate -7 - ((6 - 5) + -6).
-2
What is -62 - -61 - (0 + -12)?
11
1 + (4 - 7 - 5) + 3
-4
What is the value of 12 + (2 - 6) + (-1 - -1)?
8
5 - ((1 - 2) + 1)
5
Calculate (-1 - -2) + (-6 - (-10 + 6)).
-1
Calculate (4 - 9 - 2) + 15.
8
Calculate -9 + 9 + -2 + (-1 - -1).
-2
Evaluate -2 + (-4 + -1 - (-2 - 0)).
-5
Calculate -1 + 7 + 6 + -12.
0
What is the value of -1 + (-9 + 5 - (-2 + 0))?
-3
What is 3 + (0 - 1) - 5?
-3
Evaluate 113 + -98 - (8 + 1).
6
What is -1 + 2 + -1 + (-96 - -100)?
4
What is -3 + 5 + -12 + 4 + 3?
-3
Evaluate 2 + -8 + 1 + 4.
-1
What is -6 + (0 - -2) + (7 - 5)?
-2
What is the value of 2 + 2 - (4 - (-4 + 0))?
-4
What is the value of (1 - 6) + -1 - (2 + -6)?
-2
What is the value of (1 - -14) + (-38 - -34)?
11
Evaluate 0 + 0 - 0 - 5.
-5
Evaluate -10 - (11 + -10) - (-3 + -1).
-7
Calculate 2 - 4 - (4 + -8).
2
Evaluate -4 - ((-1 + 0 - 6) + -1).
4
(3 - 7) + 1 + -20 + 16
-7
What is the value of -1 + -1 + 6 + -2?
2
What is 0 + -2 + 2 + 1?
1
Calculate 140 + -138 - (0 - (0 + -1)).
1
Evaluate 7 + 1 + 0 + -6 + 1.
3
(-13 + 0 - 2) + 7
-8
Calculate 7 + (3 - ((6 - 10) + 9)).
5
Calculate 2 + ((5 - -1) + -3 - 1).
4
What is -4 + 2 - 0 - -4?
2
6 - 2 - (-2 + 1) - 2
3
What is 1 + (4 - 4) + 4?
5
Evaluate 9 - 5 - ((0 - 0) + 1).
3
Evaluate 10 + (7 - 4) + -7.
6
Evaluate -3 + 5 + (-2 - (0 - 0)).
0
(1 - 1) + 4 + -3 + -1
0
What is the value of -2 - (-4 - -3 - 6)?
5
Evaluate 9 + -7 - (-4 + 0) - -2.
8
What is -1 + -7 + 15 - 0 - -3?
10
Evaluate -1 - 6 - (-11 - -5).
-1
What is the value of -5 - (1 - (-8 - (4 - 9)))?
-9
-3 + 9 + -2 + -9
-5
What is -2 + 9 + -5 + -5 + 8?
5
What is the value of (3 + (1 - 4) - 2) + 2?
0
What is 0 + (5 - 0) + 0 + -10?
-5
1 + 1 - (-1 - -3)
0
What is (0 - (-7 + 6)) + -1 + 4?
4
Evaluate 7 + 2 - (-10 - -16).
3
What is (11 - 7) + 1 + 0?
5
2 - (0 + 11 + -6)
-3
Evaluate 2 - -2 - ((-1 - -5) + 0).
0
What is -5 - (7 + (1 - 8) + -1)?
-4
Calculate -3 + (-3 - (1 - -1)) + 3.
-5
1 - (3 - (-5 + 2 + 4))
-1
0 + -6 + 2 - (-1 + 2)
-5
-9 + (-10 - -10) - -14
5
(-11 - -11) + (-4 - 1)
-5
Calculate (2 - (5 + -2)) + -39 + 38.
-2
Calculate -1 + 1 + -14 + 17.
3
Evaluate -3 + (-5 + (-1 - -3) - -2).
-4
Calculate 7 - 2 - (31 - 28).
2
5 + 1 - (-16 - -14)
8
What is the value of 4 + (-1 - -4) - 2?
5
What is (-4 + 1 - -4) + -1 - -4?
4
What is the value of 2 + 5 + -5 + 0 + -1?
1
What is the value of 6 - (-6 + 5 - -2)?
5
0 - (3 - -1) - (-21 - -14)
3
3 + -7 + 10 + -5
1
Evaluate (-4 - -3) + (3 - -1) - 3.
0
What is the value of 2 - 5 - (-1 + -1)?
-1
What is the value of 18 + -18 - (1 + (4 - 2))?
-3
10 + (-9 - 10) - (-4 - -1)
-6
Evaluate -11 + 7 + 23 + -10.
9
What is -4 + 6 + 7 + -5?
4
What is the value of -5 + 15 - 1 - 4?
5
What is the v
|
{
"pile_set_name": "DM Mathematics"
}
|
s of 1053200673.
3, 7, 16717471
What are the prime factors of 44851951?
19, 29, 81401
What are the prime factors of 7520392?
2, 11, 17, 457
What are the prime factors of 524946776?
2, 229, 286543
List the prime factors of 109515272.
2, 199, 68791
List the prime factors of 446077947.
3, 7, 3169, 6703
List the prime factors of 587520468.
2, 3, 383, 42611
What are the prime factors of 198797154?
2, 3, 33132859
List the prime factors of 875027461.
7, 11, 383, 29671
List the prime factors of 100353517.
11, 2729, 3343
What are the prime factors of 7366010?
2, 5, 211, 3491
List the prime factors of 4343813038.
2, 17, 47, 2718281
What are the prime factors of 411845843?
19, 23, 942439
List the prime factors of 344403946.
2, 227, 758599
List the prime factors of 82763874.
2, 3, 4597993
What are the prime factors of 242807316?
2, 3, 20233943
What are the prime factors of 57894188?
2, 11, 701, 1877
List the prime factors of 449857637.
491, 701, 1307
What are the prime factors of 2252469625?
5, 7, 2574251
List the prime factors of 564975266.
2, 23, 1699, 7229
What are the prime factors of 208586717?
1171, 178127
What are the prime factors of 47172477?
3, 11, 1429469
What are the prime factors of 3836638045?
5, 157, 4887437
List the prime factors of 47615118.
2, 3, 7935853
What are the prime factors of 1150868971?
7, 164409853
List the prime factors of 1435669794.
2, 3, 13, 6135341
List the prime factors of 108760415.
5, 653, 33311
List the prime factors of 2483532063.
3, 3853, 23873
What are the prime factors of 10029112?
2, 19, 65981
List the prime factors of 87098657.
967, 90071
What are the prime factors of 98449168?
2, 71, 79, 1097
List the prime factors of 152065826.
2, 11, 2267, 3049
What are the prime factors of 1855991919?
3, 181, 3418033
What are the prime factors of 29653240?
2, 5, 47, 15773
What are the prime factors of 6575111550?
2, 3, 5, 7, 99397
List the prime factors of 1292926010.
2, 5, 129292601
What are the prime factors of 4392532767?
3, 7, 209168227
What are the prime factors of 402074489?
9497, 42337
List the prime factors of 2306641379.
7, 17, 19383541
What are the prime factors of 557539464?
2, 3, 31, 449, 1669
What are the prime factors of 16110557?
23, 700459
What are the prime factors of 166716739?
7, 17, 139, 10079
List the prime factors of 192912436.
2, 97, 497197
List the prime factors of 791063246.
2, 631, 626833
List the prime factors of 836790837.
3, 19, 941, 15601
What are the prime factors of 591202390?
2, 5, 97, 609487
What are the prime factors of 4742306420?
2, 5, 241, 983881
List the prime factors of 1331635257.
3, 147959473
List the prime factors of 19747007.
7, 2821001
What are the prime factors of 120906146?
2, 4051, 14923
What are the prime factors of 385803114?
2, 3, 7879, 8161
List the prime factors of 1437863.
7, 19, 569
What are the prime factors of 460292712?
2, 3, 11, 31, 5113
What are the prime factors of 4061622496?
2, 829, 153107
What are the prime factors of 252728250?
2, 3, 5, 317, 1063
What are the prime factors of 85287108?
2, 3, 7107259
List the prime factors of 176619650.
2, 5, 3532393
What are the prime factors of 48265435?
5, 463, 20849
What are the prime factors of 2264287697?
7, 997, 46349
List the prime factors of 175828134.
2, 3, 29304689
What are the prime factors of 445721680?
2, 5, 47, 118543
What are the prime factors of 5118938475?
3, 5, 7, 71, 191, 719
List the prime factors of 2086183379.
7, 42575171
List the prime factors of 54958466.
2, 4861, 5653
What are the prime factors of 11528012?
2, 163, 17681
What are the prime factors of 4931888?
2, 13, 131, 181
List the prime factors of 86229174.
2, 3, 1873, 7673
List the prime factors of 292265648.
2, 18266603
What are the prime factors of 1927407215?
5, 17, 19, 109, 10949
List the prime factors of 1121572462.
2, 560786231
What are the prime factors of 4582648318?
2, 2291324159
List the prime factors of 62803385.
5, 12560677
What are the prime factors of 5573744232?
2, 3, 7, 37, 896677
What are the prime factors of 5727872940?
2, 3, 5, 29, 3291881
What are the prime factors of 78579948?
2, 3, 6548329
List the prime factors of 106415931.
3, 313, 113329
What are the prime factors of 878981?
643, 1367
What are the prime factors of 309320174?
2, 154660087
List the prime factors of 5621838407.
131, 42914797
List the prime factors of 2696443319.
367, 431, 17047
What are the prime factors of 318933566?
2, 7, 17, 541, 2477
List the prime factors of 4189120834.
2, 37, 79, 107, 181
List the prime factors of 272182537.
11, 907, 27281
List the prime factors of 61256226.
2, 3, 10209371
What are the prime factors of 195212189?
509, 383521
What are the prime factors of 96854005?
5, 181, 107021
What are the prime factors of 825314450?
2, 5, 16506289
List the prime factors of 78176926.
2, 39088463
What are the prime factors of 58494598?
2, 29247299
What are the prime factors of 1367209202?
2, 181, 199, 18979
List the prime factors of 2918101557.
3, 7, 19851031
What are the prime factors of 1765821?
3, 107, 5501
List the prime factors of 1896424231.
13, 29, 5030303
What are the prime factors of 992582968?
2, 13, 734159
List the prime factors of 1886854326.
2, 3, 7, 101, 444803
What are the prime factors of 706607116?
2, 176651779
List the prime factors of 1147887982.
2, 5483, 104677
What are the prime factors of 228671296?
2, 7, 197, 2591
What are the prime factors of 358611404?
2, 5573, 16087
What are the prime factors of 2779481645?
5, 555896329
What are the prime factors of 4429227414?
2, 3, 738204569
What are the prime factors of 282048429?
3, 13, 7232011
What are the prime factors of 656887824?
2, 3, 1657, 2753
List the prime factors of 134556401.
7, 397, 6917
List the prime factors of 4431722598.
2, 3, 557, 147341
List the prime factors of 497023454.
2, 5107, 48661
List the prime factors of 558754507.
558754507
List the prime factors of 909167475.
3, 5, 83, 146051
List the prime factors of 1090136168.
2, 11, 79, 233, 673
List the prime factors of 195703956.
2, 3, 7, 269, 2887
List the prime factors of 794282200.
2, 5, 3971411
What are the prime factors of 310336612?
2, 37, 223, 9403
What are the prime factors of 19372419?
3, 11, 19, 3433
List the prime factors of 652762431.
3, 5843, 12413
What are the prime factors of 2915999597?
7, 19, 173, 126733
What are the prime factors of 2286971317?
877, 2607721
What are the prime factors of 82644109?
31, 2665939
What are the prime factors of 5928603?
3, 1976201
List the prime factors of 310616884.
2, 3229, 24049
What are the prime factors of 100357762?
2, 317, 158293
List the prime factors of 1517993900.
2, 5, 269, 56431
List the prime factors of 58528373.
58528373
List the prime factors of 52724866.
2, 26362433
List the prime factors of 86626874.
2, 43313437
What are the prime factors of 306140597?
7, 19, 239, 9631
What are the prime factors of 76377557?
311, 245587
What are the prime factors of 30263109?
3, 10087703
List the prime factors of 2125921519.
17, 125054207
What are the prime factors of 79153869?
3, 59, 447197
What are the prime factors of 290040374?
2, 13, 11155399
List the prime factors of 143448709.
41, 3498749
What are the prime factors of 5627685864?
2, 3, 234486911
What are the prime factors of 106238283?
3, 47, 753463
What are the prime factors of 5814294977?
101, 57567277
List the prime factors of 13255970.
2, 5, 7, 13, 2081
List the prime factors of 896395461.
3, 13, 809, 28411
What are the prime factors of 72288310?
2, 5, 23, 67, 4691
List the prime factors of 1079740746.
2, 3, 7, 293, 9749
List the prime factors of 1372738828.
2, 19, 179, 100907
What are the prime factors of 1179396640?
2, 5, 349, 21121
List the prime factors of 848200169.
41, 79, 307, 853
What are the prime factors of 1763906313?
3, 13, 45228367
List the prime factors of 61702584.
2, 3, 2570941
List the prime factors of 46848895.
5, 47, 199357
List the prime factors of 53665687.
53665687
List the prime factors of 6946124466.
2, 3, 1157687411
List the prime factors of 1102054131.
3, 19, 23, 280207
What are the prime factors of 579849751?
13, 29, 541, 2843
List the prime factors of 2043506331.
3, 349, 650591
List the prime factors of 1589568350.
2, 5, 31791367
What are the prime factors of 1281370432?
2, 20021413
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
rt 268.0619ml to litres.
0.2680619
What is 1/5 of a kilometer in centimeters?
20000
How many microseconds are there in 81.86571 milliseconds?
81865.71
Convert 263.27655 months to centuries.
0.219397125
What is 92.94524 kilometers in centimeters?
9294524
How many nanometers are there in 12737.42 meters?
12737420000000
Convert 9847.88 kilograms to milligrams.
9847880000
What is 3/5 of a day in seconds?
51840
How many nanoseconds are there in seventeen quarters of a microsecond?
4250
How many months are there in five eighths of a millennium?
7500
What is 0.588394ml in litres?
0.000588394
How many centimeters are there in 94339.2um?
9.43392
What is 3/25 of a week in seconds?
72576
What is fifty-one halves of a litre in millilitres?
25500
How many kilograms are there in 1.139306 nanograms?
0.000000000001139306
What is 0.8663574ng in grams?
0.0000000008663574
How many centuries are there in 161292.78 months?
134.41065
How many kilograms are there in 570.8979ng?
0.0000000005708979
How many milligrams are there in twenty-one eighths of a gram?
2625
What is 2152.6311us in minutes?
0.000035877185
What is 3/50 of a microgram in nanograms?
60
How many tonnes are there in 439.3554 grams?
0.0004393554
How many tonnes are there in 20916.93 grams?
0.02091693
How many milligrams are there in nineteen quarters of a gram?
4750
How many millimeters are there in 93.43954m?
93439.54
Convert 903484.2ug to nanograms.
903484200
How many nanoseconds are there in 8/25 of a microsecond?
320
How many milligrams are there in 26.17622 micrograms?
0.02617622
What is one tenth of a kilometer in centimeters?
10000
How many microseconds are there in 74.87288s?
74872880
Convert 0.812222 meters to micrometers.
812222
How many kilometers are there in 3315.58 millimeters?
0.00331558
What is 4/15 of a decade in months?
32
How many minutes are there in 16/9 of a week?
17920
How many micrograms are there in 64/5 of a milligram?
12800
How many months are there in 50064.5 decades?
6007740
How many nanograms are there in fifteen quarters of a microgram?
3750
What is 692.7141 centuries in decades?
6927.141
How many grams are there in 0.6782734t?
678273.4
How many centimeters are there in seventy-one fifths of a meter?
1420
What is 51/2 of a kilometer in meters?
25500
How many hours are there in 16.962717 minutes?
0.28271195
How many millimeters are there in 6643.835km?
6643835000
How many millilitres are there in 6/5 of a litre?
1200
Convert 61.49127 centuries to months.
73789.524
How many centuries are there in three tenths of a millennium?
3
What is 409.1107 nanograms in grams?
0.0000004091107
What is 19.864 years in centuries?
0.19864
How many years are there in three fifths of a millennium?
600
How many milliseconds are there in seventy-six fifths of a second?
15200
How many micrograms are there in 1/20 of a gram?
50000
What is fifty-nine fifths of a microgram in nanograms?
11800
What is 7/25 of a litre in millilitres?
280
How many millimeters are there in seven halves of a centimeter?
35
Convert 5986.465 millilitres to litres.
5.986465
What is 7.259811 centuries in decades?
72.59811
How many hours are there in 12/7 of a week?
288
How many micrograms are there in eleven quarters of a milligram?
2750
How many centimeters are there in 1/5 of a meter?
20
What is 21/8 of a litre in millilitres?
2625
How many centimeters are there in 3/10 of a kilometer?
30000
What is one fifth of a millennium in decades?
20
What is three eighths of a litre in millilitres?
375
How many litres are there in 646169.2ml?
646.1692
What is 2624.333cm in nanometers?
26243330000
What is 1/15 of a century in months?
80
What is 0.1178291mm in centimeters?
0.01178291
Convert 1235.184 microseconds to minutes.
0.0000205864
How many micrometers are there in eleven halves of a centimeter?
55000
What is one sixteenth of a century in months?
75
What is 54/5 of a kilometer in meters?
10800
How many micrometers are there in 3/25 of a centimeter?
1200
Convert 9812.988 grams to micrograms.
9812988000
What is 32/9 of a week in minutes?
35840
How many minutes are there in 21/4 of a week?
52920
Convert 71983.52 litres to millilitres.
71983520
How many millilitres are there in 57/2 of a litre?
28500
What is 31.141395 microseconds in hours?
0.0000000086503875
How many millilitres are there in 15/4 of a litre?
3750
What is 9/10 of a century in years?
90
What is 3/25 of a millimeter in micrometers?
120
How many nanometers are there in 3/10 of a micrometer?
300
How many micrograms are there in 6.124402g?
6124402
How many millennia are there in 6.813694 decades?
0.06813694
How many millilitres are there in sixty-one halves of a litre?
30500
What is 35904.62 millennia in decades?
3590462
How many millilitres are there in 798.81l?
798810
How many millilitres are there in 37/2 of a litre?
18500
How many micrograms are there in 21/8 of a milligram?
2625
What is 405106.6ng in grams?
0.0004051066
What is 5.22526 millennia in years?
5225.26
What is 1/10 of a kilogram in grams?
100
What is 3/10 of a litre in millilitres?
300
What is three fifths of a day in minutes?
864
How many litres are there in 0.0284985 millilitres?
0.0000284985
Convert 1.250218 weeks to milliseconds.
756131846.4
How many millimeters are there in eleven halves of a meter?
5500
How many millimeters are there in 5538.458 nanometers?
0.005538458
How many millimeters are there in fifty-one eighths of a meter?
6375
What is 3.145578mg in tonnes?
0.000000003145578
How many minutes are there in 5/6 of a hour?
50
Convert 22.36298um to centimeters.
0.002236298
What is eleven halves of a litre in millilitres?
5500
How many nanograms are there in 795917.2t?
795917200000000000000
What is 64/5 of a microgram in nanograms?
12800
How many nanograms are there in 6299.772 tonnes?
6299772000000000000
How many millilitres are there in fifty-three quarters of a litre?
13250
Convert 26.17907 years to centuries.
0.2617907
How many millilitres are there in 13/4 of a litre?
3250
What is 25.49756 centuries in months?
30597.072
What is 14/9 of a day in minutes?
2240
How many decades are there in 3/5 of a century?
6
How many millilitres are there in 27/5 of a litre?
5400
How many grams are there in 7/8 of a kilogram?
875
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in 2977.861 litres?
2977861
What is 5/4 of a milligram in micrograms?
1250
What is 175899.5784 nanoseconds in weeks?
0.00000000029083925
Convert 76.618944 seconds to hours.
0.02128304
How many months are there in thirty-two fifths of a century?
7680
What is 10/21 of a week in minutes?
4800
How many months are there in one quarter of a century?
300
What is twenty-seven halves of a millisecond in microseconds?
13500
What is 52/5 of a millennium in centuries?
104
What is fourty-five quarters of a millimeter in micrometers?
11250
How many micrograms are there in fourty-two fifths of a milligram?
8400
How many millilitres are there in 13/4 of a litre?
3250
What is fourty-five halves of a litre in millilitres?
22500
Convert 6.799745g to micrograms.
6799745
What is 1/10 of a litre in millilitres?
100
What is 21/2 of a milligram in micrograms?
10500
Convert 1.8279711 milliseconds to minutes.
0.000030466185
Convert 4.816884 nanograms to kilograms.
0.000000000004816884
What is 11/8 of a micrometer in nanometers?
1375
How many litres are there in 560.141 millilitres?
0.560141
What is three tenths of a litre in millilitres?
300
What is 7/4 of a microgram in nanograms?
1750
How many decades are there in 6/5 of a century?
12
What is twenty-seven fifths of a litre in millilitres?
5400
How many millilitres are there in twenty-seven quarters of a litre?
6750
How many grams are there in 61/2 of a kilogram?
30500
How many months are there in three tenths of a decade?
36
What is one quarter of a century in months?
300
Convert 1.2549315s to minutes.
0.020915525
Convert 577.9063l to millilitres.
577906.3
What is 76761.41nm in micrometers?
76.76141
What is 408.5484kg in nanograms?
408548400000000
What is 7/4 of a litre in millilitres?
1750
Convert 7982.028kg to grams.
7982028
How many micrograms are there in 40460.9 milligrams?
40460900
How many micrometers are there in 6/5 of a centimeter?
12000
How many ce
|
{
"pile_set_name": "DM Mathematics"
}
|
e 9*j + m = 10*j + 92, -10*m + 5*m + 460 = 6*j for j.
0
Solve -3*c + 45048 - 45052 = -w, -2*w = -7*c - 8 for w.
4
Solve 22*l = -36*g + 27*l + 163, -9*l + 10*l + 47 = 0 for g.
-2
Solve 1314 = 3*b + 6*c + 1335, -5*c - 19 = b for b.
1
Solve -3*i + 2*h + 2 = 2*i, -189186*h = 2*i - 189190*h - 4 for i.
0
Solve -o = -4*s + 21, 228*o - 233*o - 11*s - 14 = 91 for o.
-21
Solve -14*g - 2*h + 7*h - 17 = -18*g, 0 = 14*g - 3*h - 121 for g.
8
Solve -182 = 42*a + s, -36489*a + 36491*a + 66 = 2*s for a.
-5
Solve -42 = -3*a, -1880*c = -1877*c - 20*a + 286 for c.
-2
Solve 10*f + 21271 = -5*z + 21206, -2*f + z + 1 = 0 for f.
-3
Solve 9*m = 5*d + 56, 3*d + 5*m + 8*m = -0*d + 132 for d.
5
Solve 4*c + 50 = -2*g, -241*g + 246*g - 2*c + 5 = 0 for g.
-5
Solve -8*w = o + 53, 5*o + 356 = -30*w + 161 for o.
3
Solve 7*y - 15*p + 120 - 230 - 77 = 121, 3*y - 18 = p for y.
-1
Solve -f - 177 = -5*t - 145, -36*t - f + 132 = 0 for t.
4
Solve -y = 45*r - 6*y - 30, 3*r - y + 716 - 698 = 0 for r.
4
Solve -159*a - 326 = 74*p - 78*p, 5*p = -5*a for p.
2
Solve 21*x + 2*z + 1 = 22*x, -6*x - 3*z = 17*x + 222 for x.
-9
Solve -4183 + 4159 = -4*a + 4*d, 134 = 27*a + d for a.
5
Solve 0 = -3*v - 6868 + 6769, 142 = -5*b - 4*v for b.
-2
Solve 570 = -2*y - 3*j + 592, 2*y - 3*j + 38 = 0 for y.
-4
Solve 2*o + 2*b = 16, b - 3*b + 1 + 31 = -5*o + 5*b for o.
2
Solve -18*m - 25 = -3*f - 122*m + 108*m - 1, 4*f + m - 13 = 0 for f.
4
Solve x = 2*k + 19, 48*x = -5*k + 52*x - 49 for k.
-9
Solve -3*f - 3*m = -5*m + 24, 7*f + 1524 = -2*m + 1488 for f.
-6
Solve 0 = 49692*h - 49688*h - 4*o + 4, -5 = -h - o for h.
2
Solve -4*n = -3*s + 157, -2*s = -5*n + 5911 - 6025 for s.
47
Solve 2*b - 2413*k - 284 = -2401*k, -5*k = 120 for b.
-2
Solve -4*r + 112 = -4*h, 8*r = -2*h + 134 - 170 for h.
-26
Solve 2 = -g, 9214*r + 28 = 9218*r - 5*g + 4*g - 3*g for r.
5
Solve 3*g + 5*f + 27 = 0, -90 = 10*g - 369*f + 370*f for g.
-9
Solve -2*o = 65*o - 3*m + 341 + 188, -o + 4*m - 162 - 190 = 0 for o.
-4
Solve -21*q = 4*x + 117 - 109, 4*q + 4*x = 2*q - 8 for q.
0
Solve -3*u - 26*k = -45 - 149, 7*k - 142 + 93 = 0 for u.
4
Solve 10759*j - 22 = 10757*j - 2*g, 3*j - 8*g + 10*g = 32 for j.
10
Solve -33781*m - 86 = -33782*m - 20*f, -124 = -5*m + 2*f for m.
26
Solve 394*c - 5*u + 75 = 402*c, -2*c + 0*u + 4*u = 377 - 275 for c.
-5
Solve -4*a - 124*r + 127*r - 1 = 13, -6*r - 2 + 15 = -5*a for a.
-5
Solve -101 = 3*t + 4*i, 5*t + 14*i - 515 + 691 = 15*i for t.
-35
Solve 5*q + 3*n + 43 - 52 = 12*n + 54, -3*n = 6 for q.
9
Solve -4*q = 4*t - 48, -4948*q + 4*t + 32 = -4947*q for q.
16
Solve -2*h - 3*d - 3 = -3 + 17, -4*h - 5*d = 31 for h.
-4
Solve 7*x = 3*k - 90, -3*k - 213 = -3*x - 255 for x.
-12
Solve -82 = 5*n - 3*t, 0 = -210*n + 209*n - 3*t + 106 for n.
4
Solve 0 = 2*t + 24*f - 410, -2*f = -354*t + 358*t - 38 for t.
1
Solve 3*x + 4*v = -32, -18697*x - 2*v = -18695*x + 18 for x.
-4
Solve 17 + 115 = 223*t - 227*t, 4*g - 181 = t + 4*t for g.
4
Solve -3*z = -m + 26, 437*z - 413*z + 3*m = -21 for z.
-3
Solve -4*n + b - 624085 = -624032, 7*n - 3*n + 0*n - 152 = -4*b for n.
-3
Solve 4*o + 560 = -372*v, 632*v - 50 = o + 635*v for o.
-47
Solve -2*v = -4*l - 30, 3*l - 29 - 5 = -11*v - 2*v + 16 for v.
5
Solve -5*r = 230*l - 227*l - 30, 882*l = -r + 3867 + 4953 for r.
0
Solve 0 = 110*f + 450 - 55 + 265, 50 = -5*r - 73*f + 68*f for r.
-4
Solve 10 = -y - 2*t, 1034*y + 0*t - 5*t - 28 = 1038*y for y.
-2
Solve 0 = -3*x - 13*w - 124, 2*w - 43 = 5*x + w + 73 for x.
-24
Solve 5*n - 6*b - 20098 = -19989, 0 = -7*n + 2*b + 31 for n.
-1
Solve -123*v + 647*t = 643*t - 512, 0*v = 2*v - 4*t - 28 for v.
4
Solve 70 = -3*s + 4*n, 11334 - 11260 = -s + 4*n for s.
2
Solve -1047*l - 4*v + 19 = -1042*l, l = 7*v - 4 for l.
3
Solve -108 = 3*f + 3*b, 3*f - 648 = 258*b - 240*b for f.
0
Solve n - 5*g = -23, -17652*n = -17535*n - 4*g + 2110 for n.
-18
Solve -v + 19*g + 75 = 0, -2*v - 2*g = -76012 + 76022 for v.
-1
Solve 0 = 4*z + 21*j + 29, 2073*z - 3*j - j = 2071*z for z.
-2
Solve -860*l + 6*d + 22 = -859*l, 17 = 2*l - 3*d for l.
4
Solve 67 = -d - 18*b + 12*b, -4*d - b - 4 = b for d.
5
Solve 15*p + 3*f = 135, 99*p + 2*f = 103*p + 20 for p.
5
Solve -4*c = -f - 1, -3*c - 89 = c + f - 128 for c.
5
Solve 21*f + 18*w = -28*f + 16*w - 69, 4*f + 15 = -f - w for f.
-1
Solve -3*h - 4*n - 65 = 0, 3894*h - 3989*h - 257 = -2*n for h.
-3
Solve -19*j - 16*j = 4*p - 3*p - 33*j - 7, -4*p = -2*j - 38 for p.
9
Solve 49*n - 5*h + 506 = 178, 2*h - h = n - 3*h - 5 for n.
-7
Solve -3*u + 12 = -5*n, 40*n + 32 = 8*u + 37*n for u.
4
Solve 0 = 6*y - 4*y - 4*t + 34, -5*y = -4*t + 6*t - 35 for y.
3
Solve -4*f = -6*j - 7063 + 7085, 2*f - 1 = -j - 0*f for j.
3
Solve -5*d + 0*d = -8*w - 112, -2*d - 8 + 64 = -4*w for d.
0
Solve 3*r = 31*v - 1534, 3*r + 59 + 14 + 187 = 5*v for r.
-5
Solve 0 = 3*a + 4*h - 65, 17445*h - 20 = 3*a - 17442*h + 34886*h for a.
-1
Solve 4*y - 4*d - 619 + 354 + 349 = 0, 4*d - 21 = y for y.
-21
Solve 2*q + 3*i - 20 = 0, 0 = 158*q - 161*q + 10*i - 57 for q.
1
Solve 4*z - 757 = 2*p - 879, 3*p + 9*z - 14*z = 184 for p.
63
Solve f - 2 = d - 10, 4*d = 3*f + 32 for f.
0
Solve -2*w - 24616*g + 24597*g = -105, -10 = 3*w - 5*g for w.
5
Solve 0 = 2*k + 4*u + 7242 - 7226, 3*u = 16*k - 11*k + 92 for k.
-16
Solve 2157214*a - 2157224*a = -5*g - 60, 3*g + a = 13 for g.
2
Solve 0 = 4*x - 3*i + 99, -3*i + 78 = 38742*x - 38739*x for x.
-3
Solve 29 = -5*o - 5181*h + 5180*h, 0 = -2*o + 4*h + 10 + 40 for o.
-3
Solve 5*k + 249661*w - 249663*w - 34 = 0, -3*w - 36 = -5*k for k.
6
Solve -2*g + 68 = 120*s - 132*s, -5*s = -2*g + 33 for g.
4
Solve 5*k - 6 - 2 = 2*h, -3 = 6*h - 4*k + 21 for h.
-4
Solve -5*n + 3*n - 102 = -3*s - 84, 0 = 3*n + 4*s + 61 for n.
-15
Solve 136*n + 3*a - 4*a = 141*n, -6*n = -7*n - a - 10*a - 216 for n.
4
Solve 0 = 3*p + 6*p + p - 2*f + 36, 2*p + 1083*f - 1081*f = -24 for p.
-5
Solve 7*o = a - 62, -4*a - 13*o - 128 = -0*a - 7 for a.
-1
Solve 0 = 4*a - 161*s + 157*s - 68, 73 = 5*a - 11*s for a.
19
Solve 5*x = -4*r - 186, 10*x + 167 = -r + 3*x - 75 for r.
-4
Solve -69*d - 2*y - 13 = -43*d - 31*d, 163 = -d - 51*y + 10*y for d.
1
Solve -8 = -6*r + n, -r + 13 = -43*n + 44*n for r.
3
Solve 5*c - 21773*h - 19 = -21776*h, h = 4*c + 12 for c.
-1
Solve -317*y + 321*y + 3*q + 24 = 2*q, 0 = 55*y + 4*q - 21 for y.
3
Solve -10 - 13 = 39*o - 36*o + 10*p, 4*o = -2*p - 8 for o.
-1
Solve -50*g + 328 = -3*u, 12349*u - 4*g - 32 = 12351*u for u.
-26
Solve 11*l = -10*w + 7*w + 48, 5*w - 26 = w - 2*l for w.
5
Solve -1964 = 4*o + 11*v - 2125, -78 = 3*o - 5*v for o.
-1
Solve -4*h + 146 = 3*n - 4*n, 4*n + 16*h - 21*h + 188 = 0 for n.
-2
Solve y = -2*o - 2*y + 27 - 6, -150*y = -4*o - 142*y - 84 for o.
-3
Solve 5*w - 15*o = -19*o - 22*o - 131, 0 = 6*o - 186 + 222 for w.
5
Solve -4*f + 102 = -2*y, 3*y + 3*f - 16705 = -5*f - 16522 for y.
-3
Solve -5*j - 5*y - 1314 + 1359 = 0, 4*j - 24 = 2*y for j.
7
Solve 3*c - 10 = -4*x, 9*x = 5860*c - 5865*c + 26 for x.
4
Solve r + 62 = -2*x - 46, -2338*x - 701 = -2335*x - 0*r + 7*r for x.
-5
Solve -8 = -4*j + 3*i, 3*i + 2002 = -4*j + 2034 for j.
5
Solve 10*c + 901 = -5*l + 1096, -2*l - 3*c + 61 = 0 for l.
5
Solve 0 = -j - 24*a + 455, -3111*j + 3119*j - 4*a + 84 = 0 for j.
-1
Solve -2*x + 6*x + 119 = 3*v, 65*x - 2*v + 192 = 58*x for x.
-26
Solve 0 = 4*w + o - 15, 29480*w = 29485*w - 8*o - 65 for w.
5
Solve 4*i + 6*k = 6*i + 2*k - 6*k - 100, 7*k = -3*i + 194 for i.
60
Solve -7*y - 20*n + 1552 = 0, 295 - 394 = 5*y - n for y.
-4
Solve 4*c + 5*g = 107, 10068*c + 5*g - 163 = 10062*c for c.
28
Solve -48 = 2*b - 5*r, -r + 6157 = b + 6146 for b.
1
Solve -p - p + 31 + 49 = -0*p - 4*i + 96, 8*i - 32 = 0 for p.
0
Solve 3*o - 18 = 4*u, 18*o - 21*o - 1 = -5*u - 25 for o.
-2
Solve 15*a - 41 = 28*a + 2*v, 8*a = -a + 4*v - 32 + 9 for a.
-3
Solve -44*o - 108 = 3*g - 39*o, 0 = 15*g + 6*o + 84 for g.
4
Solve 3*d + 9 = -0, 6*d = -4*u + 40449 - 40443 for u.
6
Solve -2*f + 21*q - 105*q - 496 = 0, -2*f + 3414*q - 3416*q = -3 + 7 for f.
4
Solve -91*i + 87*i + 208 = 2*j, 10*j - 86 - 56 = -3*i + 5*j for i.
54
Solve 4*l - 4*d - 90 + 86 = 0, -l + 70*d - 8 + 49 = 59*d for l.
-3
Solve 2*j + 66 = -3*x - 39, 0 = 5*j - 245*x + 238*x + 335 for j.
-60
Solve -3*p - 21 = -5*y - 97, 4*p - 16*y + 14*y - 29 = 49 for p.
17
Solve -180*g = -179*g - 2, 19 = v + 5*g + 11 for v.
-2
Solve 26*i = 10*h + 23*i + 54, -4*h + 4*i = -h
|
{
"pile_set_name": "DM Mathematics"
}
|
4.
7632
Find the common denominator of 62/45 and 91/90.
90
What is the common denominator of -93/1298 and -31/50?
32450
Calculate the smallest common multiple of 1491 and 213.
1491
Calculate the lowest common multiple of 184 and 16.
368
What is the lowest common multiple of 4 and 35?
140
What is the lowest common multiple of 221 and 104?
1768
Calculate the common denominator of 131/360 and -17/156.
4680
What is the lowest common multiple of 576 and 54?
1728
What is the smallest common multiple of 27 and 243?
243
Calculate the least common multiple of 774 and 180.
7740
Calculate the common denominator of -101/720 and -55/24.
720
Calculate the lowest common multiple of 3 and 1324.
3972
What is the smallest common multiple of 834 and 624?
86736
Find the common denominator of 125/696 and 47/1392.
1392
Calculate the least common multiple of 8137 and 8.
65096
Calculate the common denominator of -16/481 and 64/65.
2405
Calculate the common denominator of 7/18 and -173/90.
90
Calculate the common denominator of -35/10688 and -49/640.
106880
Find the common denominator of -19/130 and 131/390.
390
Find the common denominator of -83/60 and -59/15.
60
Calculate the common denominator of 43/396 and 71/4.
396
What is the lowest common multiple of 21 and 315?
315
Find the common denominator of 149/5238 and -127/2910.
26190
Calculate the smallest common multiple of 70 and 144.
5040
Calculate the least common multiple of 100 and 14.
700
Find the common denominator of 87/7180 and -45/14.
50260
What is the smallest common multiple of 1644 and 24?
3288
Calculate the common denominator of 71/35 and 73/15.
105
Find the common denominator of 50/11 and -76/201.
2211
What is the smallest common multiple of 720 and 576?
2880
Calculate the common denominator of -17/22 and 77/19808.
217888
Calculate the lowest common multiple of 32 and 288.
288
Calculate the common denominator of -83/16 and 3/22.
176
Find the common denominator of -17/266 and -59/1162.
22078
What is the least common multiple of 16 and 2734?
21872
Find the common denominator of 51/172 and -11/344.
344
What is the smallest common multiple of 5822 and 1136?
46576
Calculate the common denominator of -53/168 and 37/22.
1848
What is the lowest common multiple of 8 and 40?
40
What is the common denominator of -35/174 and -33/134?
11658
What is the common denominator of 7/30 and -35/11229?
112290
Calculate the common denominator of 27/2935 and 79/10.
5870
What is the common denominator of 41/8 and -89/360?
360
What is the smallest common multiple of 110 and 10?
110
What is the smallest common multiple of 8 and 498?
1992
What is the common denominator of -19/30 and 42/115?
690
Calculate the common denominator of -51/427 and -53/2.
854
What is the least common multiple of 1378 and 10?
6890
What is the smallest common multiple of 40 and 116?
1160
Find the common denominator of -17/2385 and 56/39.
31005
Calculate the lowest common multiple of 141 and 1551.
1551
Find the common denominator of -1/82 and -77/82.
82
What is the least common multiple of 2232 and 144?
4464
What is the common denominator of 101/4 and 13/3599?
14396
Calculate the common denominator of 46/337 and -91/2022.
2022
What is the common denominator of -7/96 and -62/123?
3936
Find the common denominator of -17/180 and 179/120.
360
What is the least common multiple of 2896 and 8?
2896
Calculate the common denominator of 47/5748 and 51/12454.
74724
What is the common denominator of -31/180 and -139/210?
1260
What is the smallest common multiple of 10 and 646?
3230
Find the common denominator of -61/832 and 49/124.
25792
What is the smallest common multiple of 464 and 11?
5104
Find the common denominator of -73/480 and -49/72.
1440
What is the lowest common multiple of 4 and 96?
96
What is the common denominator of -107/510 and -31/34?
510
Find the common denominator of 79/6 and -38/105.
210
Calculate the common denominator of -89/5232 and 28/3.
5232
What is the common denominator of -81/20 and 59/188?
940
What is the lowest common multiple of 16 and 44?
176
Calculate the least common multiple of 246 and 432.
17712
What is the common denominator of -103/198 and -37/2464?
22176
What is the smallest common multiple of 48 and 2096?
6288
What is the common denominator of 53/836 and 63/275?
20900
Find the common denominator of 37/900 and 119/18.
900
Find the common denominator of -37/6042 and -61/5035.
30210
Calculate the common denominator of 131/60 and 13/6.
60
What is the common denominator of -15/148 and -11/666?
1332
Find the common denominator of -51/70 and -66/245.
490
What is the least common multiple of 28 and 35?
140
Calculate the smallest common multiple of 24 and 7932.
15864
Find the common denominator of 163/66 and 77/60.
660
What is the lowest common multiple of 10351 and 2823?
31053
Find the common denominator of -7/96 and 25/264.
1056
What is the least common multiple of 11 and 32?
352
Calculate the lowest common multiple of 837 and 6.
1674
Calculate the smallest common multiple of 1016 and 762.
3048
Calculate the lowest common multiple of 16 and 16.
16
Calculate the smallest common multiple of 972 and 2052.
18468
What is the least common multiple of 1683 and 81?
15147
Calculate the lowest common multiple of 422 and 2321.
4642
Calculate the lowest common multiple of 530 and 6.
1590
What is the common denominator of -50/87 and -24/319?
957
What is the common denominator of 32/15 and -37/6?
30
Calculate the smallest common multiple of 152 and 32.
608
What is the common denominator of 103/80 and -7/100?
400
What is the least common multiple of 12 and 417?
1668
Calculate the least common multiple of 2 and 8.
8
Find the common denominator of -73/4 and 7/1542.
3084
Calculate the least common multiple of 603 and 108.
7236
What is the least common multiple of 332 and 1660?
1660
Find the common denominator of -143/150 and -76/435.
4350
What is the lowest common multiple of 1887 and 555?
9435
What is the common denominator of 37/2 and 29/12?
12
What is the common denominator of -179/570 and 5/228?
1140
Calculate the smallest common multiple of 22 and 22.
22
Find the common denominator of 23/24 and -47/1036.
6216
What is the common denominator of 7/2216 and -11/7?
15512
Calculate the least common multiple of 15 and 1055.
3165
Calculate the least common multiple of 231 and 63.
693
What is the smallest common multiple of 11 and 55?
55
Calculate the common denominator of 50/3 and 39/998.
2994
Calculate the common denominator of -10/17729 and -73/2.
35458
Calculate the lowest common multiple of 10790 and 14.
75530
What is the least common multiple of 2196 and 244?
2196
Calculate the smallest common multiple of 760 and 80.
1520
Calculate the least common multiple of 21 and 108.
756
Find the common denominator of -6/175 and -58/575.
4025
Find the common denominator of -103/994 and 75/56.
3976
Calculate the common denominator of 89/820 and -9/32.
6560
What is the least common multiple of 2219 and 49?
15533
Calculate the least common multiple of 70 and 50.
350
Calculate the common denominator of 10/11 and 62/237.
2607
Calculate the common denominator of -39/2492 and -1/8.
4984
Find the common denominator of 137/672 and 97/132.
7392
Calculate the smallest common multiple of 1395 and 35.
9765
Find the common denominator of -25/42 and -1/63.
126
Calculate the common denominator of -29/1925 and -8/525.
5775
Calculate the least common multiple of 76 and 133.
532
Find the common denominator of -37/30 and 55/441.
4410
Find the common denominator of -17/6 and -95/168.
168
What is the smallest common multiple of 98 and 1848?
12936
What is the least common multiple of 14 and 46?
322
Calculate the common denominator of -1/783 and 119/18.
1566
What is the least common multiple of 18 and 6?
18
Calculate the common denominator of -29/390 and -51/52.
780
What is the least common multiple of 56 and 784?
784
What is the common denominator of 47/138 and -95/368?
1104
Calculate the common denominator of -71/46 and 27/10.
230
Calculate the common denominator of 41/64 and -47/160.
320
Calculate the least common multiple of 66 and 968.
2904
What is the common denominator of -179/480 and 75/184?
11040
Calculate the common denominator of 29/9 and -115/678.
2034
Calculate the lea
|
{
"pile_set_name": "DM Mathematics"
}
|
when three letters picked without replacement from xhhppiphxxippip?
3/455
Four letters picked without replacement from ezhhmhzzhzzlhzehhehe. What is prob of sequence zemh?
8/4845
What is prob of sequence ott when three letters picked without replacement from bbobottt?
1/28
Three letters picked without replacement from gjfrfffffhrjfhrhjf. Give prob of sequence jfh.
1/68
What is prob of sequence tt when two letters picked without replacement from lllyytyxooixtloxy?
1/136
Three letters picked without replacement from wwtwkcwww. What is prob of sequence ctk?
1/504
What is prob of sequence hlp when three letters picked without replacement from spshlepsspp?
2/495
Two letters picked without replacement from {j: 3, l: 7}. Give prob of sequence jl.
7/30
Four letters picked without replacement from {s: 3, b: 2}. Give prob of sequence bssb.
1/10
Two letters picked without replacement from wywwwxxwmwxt. What is prob of sequence yx?
1/44
What is prob of sequence cn when two letters picked without replacement from ncccccepncccctcpcpe?
11/171
Calculate prob of sequence id when two letters picked without replacement from {p: 1, q: 1, b: 1, e: 1, d: 2, i: 1}.
1/21
Two letters picked without replacement from {s: 1, t: 2, d: 1, z: 2, f: 1, n: 1}. Give prob of sequence nz.
1/28
Two letters picked without replacement from {n: 1, l: 3, x: 3, v: 2, w: 4, o: 2}. What is prob of sequence vn?
1/105
Four letters picked without replacement from {e: 4, c: 2, x: 7, m: 5, h: 2}. Give prob of sequence xmhe.
7/2907
Calculate prob of sequence jh when two letters picked without replacement from rqkkqjhpkqkkjkkkhk.
2/153
Four letters picked without replacement from {g: 4, n: 9, c: 1}. Give prob of sequence gcng.
9/2002
Calculate prob of sequence err when three letters picked without replacement from ccercececrrce.
2/143
Calculate prob of sequence gwgw when four letters picked without replacement from pgggpwpwp.
1/252
Three letters picked without replacement from {a: 2, i: 2, m: 1, t: 6}. What is prob of sequence ima?
2/495
Two letters picked without replacement from oilljioiiloilyilal. Give prob of sequence ia.
1/51
What is prob of sequence paq when three letters picked without replacement from {k: 1, q: 1, y: 11, p: 1, x: 2, a: 3}?
1/1938
Three letters picked without replacement from fffeexfxxfffefee. What is prob of sequence xfx?
1/70
Two letters picked without replacement from ypppppynzzyzfzkp. Give prob of sequence zz.
1/20
Calculate prob of sequence ib when two letters picked without replacement from ibwpmwm.
1/42
Two letters picked without replacement from sscuulsuucsluuusbbbu. Give prob of sequence lu.
4/95
Four letters picked without replacement from {u: 6, r: 4, a: 7, q: 1}. Give prob of sequence urrq.
1/1020
Two letters picked without replacement from bbbuuuubbuubuuuubuu. What is prob of sequence uu?
22/57
What is prob of sequence ddd when three letters picked without replacement from {d: 9, i: 10}?
28/323
Three letters picked without replacement from {x: 2, e: 3}. What is prob of sequence exe?
1/5
Four letters picked without replacement from wzwiuwuuuiuun. What is prob of sequence wiww?
1/1430
Two letters picked without replacement from vcccvvc. What is prob of sequence cc?
2/7
Calculate prob of sequence js when two letters picked without replacement from zjylzsjszzls.
1/22
Four letters picked without replacement from {i: 2, k: 4, o: 1, l: 2, w: 3}. What is prob of sequence illw?
1/990
Two letters picked without replacement from {g: 4, k: 2, f: 4, i: 1, a: 3}. What is prob of sequence fi?
2/91
Three letters picked without replacement from dgldgldldldgdgddgl. What is prob of sequence ggl?
25/1224
Calculate prob of sequence cjz when three letters picked without replacement from {z: 1, g: 1, c: 2, j: 5, f: 1}.
1/72
What is prob of sequence zh when two letters picked without replacement from hrzzznnnzzznnz?
1/26
What is prob of sequence va when two letters picked without replacement from aavhaaahhhhaavaha?
9/136
Two letters picked without replacement from {q: 3, o: 3, i: 5, c: 1, g: 8}. What is prob of sequence qg?
6/95
Calculate prob of sequence soc when three letters picked without replacement from zozqzczzs.
1/504
Four letters picked without replacement from {l: 5, q: 7}. What is prob of sequence llll?
1/99
Two letters picked without replacement from nvivv. Give prob of sequence in.
1/20
What is prob of sequence rzzr when four letters picked without replacement from zzzzrzzzrz?
1/45
Four letters picked without replacement from {o: 9, y: 10}. Give prob of sequence yyoo.
45/646
Two letters picked without replacement from {n: 1, t: 5, r: 5}. Give prob of sequence tt.
2/11
Two letters picked without replacement from cchkhhchkkchhk. What is prob of sequence ch?
12/91
What is prob of sequence hz when two letters picked without replacement from {z: 7, h: 7}?
7/26
Three letters picked without replacement from ryiiyyyisiiiwywii. What is prob of sequence yyw?
1/102
Three letters picked without replacement from vovovovjvh. Give prob of sequence hjv.
1/144
Three letters picked without replacement from ggjgkjgkjjkgjgtg. Give prob of sequence jgj.
1/24
Four letters picked without replacement from xxxccyx. What is prob of sequence yxxc?
1/35
Two letters picked without replacement from {g: 11, n: 2, u: 1}. Give prob of sequence ng.
11/91
What is prob of sequence yh when two letters picked without replacement from hyoh?
1/6
Calculate prob of sequence het when three letters picked without replacement from {u: 1, h: 1, p: 1, t: 1, e: 1}.
1/60
What is prob of sequence yybb when four letters picked without replacement from {b: 3, y: 9}?
2/55
Two letters picked without replacement from {r: 1, d: 3}. Give prob of sequence dd.
1/2
Three letters picked without replacement from {p: 1, f: 1, i: 1}. Give prob of sequence ipf.
1/6
What is prob of sequence ur when two letters picked without replacement from {u: 2, r: 6}?
3/14
What is prob of sequence hz when two letters picked without replacement from wwhzzzwwhzzzz?
7/78
Four letters picked without replacement from byytztyrfyyybrbryb. What is prob of sequence yyrb?
7/1020
Two letters picked without replacement from stttm. What is prob of sequence tt?
3/10
What is prob of sequence frhd when four letters picked without replacement from {i: 2, d: 1, r: 5, f: 1, h: 1}?
1/1008
Four letters picked without replacement from ssspspsssp. What is prob of sequence spsp?
1/20
What is prob of sequence hhr when three letters picked without replacement from {m: 1, y: 2, h: 7, r: 3, o: 7}?
7/380
Two letters picked without replacement from mvmvvmvvvv. What is prob of sequence mm?
1/15
What is prob of sequence oooj when four letters picked without replacement from {o: 3, q: 3, j: 13}?
13/15504
Two letters picked without replacement from {j: 4, f: 6, h: 4}. Give prob of sequence fh.
12/91
Four letters picked without replacement from {h: 1, s: 3, z: 1, q: 3, l: 3, t: 7}. What is prob of sequence ttth?
7/2448
Calculate prob of sequence ppr when three letters picked without replacement from {t: 2, r: 6, p: 3, a: 1}.
3/110
Calculate prob of sequence fxx when three letters picked without replacement from xffffxfff.
1/36
Calculate prob of sequence gz when two letters picked without replacement from gykkkggzggkgy.
1/26
Three letters picked without replacement from {c: 2, q: 1, v: 1, u: 2, h: 2}. Give prob of sequence hvq.
1/168
Two letters picked without replacement from ououpdpoondnodonn. Give prob of sequence uo.
3/68
Calculate prob of sequence mem when three letters picked without replacement from hhmrihmhrmmermiimm.
7/816
Calculate prob of sequence vv when two letters picked without replacement from vvcvvvvvvvvvvvvvvv.
8/9
Three letters picked without replacement from {h: 4, j: 1, f: 1, u: 3, l: 2}. What is prob of sequence huh?
2/55
Two letters picked without replacement from hjjhjjjj. What is prob of sequence jh?
3/14
Two letters picked without replacement from vkv. Give prob of sequence vk.
1/3
What is prob of sequence bvbf when four letters picked without replacement from xvbxxxbxbvofxxfbfvx?
3/2584
Four letters picked without replacement from {v: 2, b: 3, s: 6, c: 1}. Give prob of sequence cbsb.
1/330
Two letters picked without replacement from {v: 1, q: 2, l:
|
{
"pile_set_name": "DM Mathematics"
}
|
l
Suppose -8 = 2*k, 4*g + 4*k - 2*k + 24 = 0. Let w(s) = -2*s**3 - 2*s + 2. Let r be w(g). Which is bigger: r or 0?
r
Let v = -1020.8 - -1019.73. Which is smaller: 54 or v?
v
Suppose 18 = -516*d + 522*d. Suppose 3*w - 2*g - 40 = 0, -w + 3*g = -d*w + 18. Which is greater: w or 5?
w
Let r = 999/4270 + -39/122. Which is smaller: 1 or r?
r
Suppose 120096 + 43796 = -21*n + 5993. Does n = -7519?
True
Let h = 3840701/804 + -4777. Which is bigger: 1 or h?
1
Let z be (6/3)/(-1 + 121/55). Are 16 and z equal?
False
Let n = -192 - -191.33. Let c = -0.33 + n. Which is smaller: c or 0.14?
c
Let q be ((-174)/(-972167))/((-8)/56). Which is bigger: q or -1?
q
Suppose 15*f - 12*f = -p + 19, 0 = 4*f - 4. Suppose n - 63 = -4*m, 0 = -14*m + 13*m + n + 22. Which is smaller: m or p?
p
Let r = 1751 - 1751. Let c be (-30)/(-36)*1/13. Are r and c non-equal?
True
Suppose -4*n + 43 = -21. Suppose -n*m + 25 = -7. Let u be (-1)/(-36) + 6/(-24). Is u at least m?
False
Let o = -4388 + 4389. Which is bigger: o or -1/2223?
o
Let y = 456.05 - 459. Which is smaller: y or -3/13?
y
Let r(t) be the second derivative of 7*t**3/6 - 7*t**2 - 36*t. Let q be r(-8). Let k = 83 + q. Is k less than 0.2?
False
Suppose 3*t + t + 2*y = 24, -t = y - 8. Suppose 84 = 3*a - 5*h, -3*a + 4*a + t*h - 11 = 0. Let m = 18 - a. Which is smaller: m or 4?
m
Suppose 3*k - 2*n + 1 + 4 = 0, -4*k - 3*n = 35. Let j be k/(35/(-4)) - (-132)/308. Are -3/335 and j unequal?
True
Suppose -28*f + 40*f = 0. Suppose f = -9*i + 48 - 39. Is 2/159 greater than i?
False
Let m(z) = -z**3 + 3*z**2 + 4*z + 1. Let k be m(-4). Let u = k + -97. Let b = 66821/660 + -405/4. Is u at most b?
False
Let k = 1075 - 1916. Let b = k + 836. Which is bigger: b or -3?
-3
Let l = 2425 + -2209.4. Let k = l - 136.6. Let b be (4*(-2)/(-4))/(-7). Are k and b unequal?
True
Let t = 1418 + -951477/671. Let b = t - -4007/12749. Let a = -80201/2 + 40101. Which is greater: b or a?
a
Let f = -1 - -2. Let j = 194.36 - 197. Let a = j - -2.84. Is a bigger than f?
False
Let a(u) = -5*u**3 - 47*u**2 - 5*u + 64. Let f(r) = -9*r**3 - 95*r**2 - 11*r + 129. Let w(s) = -11*a(s) + 6*f(s). Let m be w(53). Which is greater: m or -514?
m
Let z = 38 - 37.92. Let v = -1.26 - -0.31. Let c = -0.05 + v. Which is greater: z or c?
z
Let b = -15637 + 48959. Is -1 smaller than b?
True
Suppose 9*b = 12*b + 15. Let t be (11/(-2) - b)*0. Which is bigger: t or 4?
4
Let d be 1097023/(-2338) - (-17)/2. Which is smaller: -460 or d?
d
Let s be (28/186)/((-2)/(-3)). Let g(i) = i**3 - 2425*i**2 + 9688*i - 17. Let k be g(4). Do k and s have the same value?
False
Let d(g) = g**3 + 15*g**2 - 20*g + 8. Let r be d(-16). Suppose 5*y + r = 4*t, -4*y + 6*y + 2*t + 36 = 0. Suppose -6*l + 2*l = 72. Which is bigger: l or y?
y
Suppose 7*y = 3*y - 204. Let q be (-136)/y*(-3)/(-4). Let f = 531/470 + 8/47. Which is smaller: f or q?
f
Let u(n) = 10*n**2 + n + 2. Let w be u(2). Let c = -16 + w. Suppose -l - 2*a + 27 = 0, 10*l - 123*a = -127*a + 270. Do l and c have the same value?
False
Suppose 3*y + 0*y - 1131 = 0. Suppose -48*f = -12358 - 5738. Is f <= y?
True
Let b = 1968 - 909. Let q = b - 946. Which is greater: 111 or q?
q
Suppose -3*v + 23*v - 760 = 0. Suppose -v*t + 16*t = -22. Which is greater: -2 or t?
t
Let p = 616222 - 10178138770/16517. Which is smaller: -1 or p?
-1
Let h be ((-1)/(-18))/(191/(-764)). Let v = -91 - -59. Let b = v - -30.3. Is b smaller than h?
True
Let v = 41 - 35. Let w be (3/(-1))/(v/8). Let i be -22*(-8)/86 - (-2 - w). Is i smaller than -1?
False
Suppose -2*k - 16 = -16. Let g be 44*(-96)/702 - (-11 - -5). Which is smaller: k or g?
g
Let i = -6794095/3 + 104170327/46. Let q = -126 - i. Is q greater than or equal to 0?
True
Suppose 0 = -41*v + 34*v - 28. Let f be v/(160/12) + -12 + 15. Is f less than 3?
True
Let y = -48405 - -48482. Let o(p) = 5*p**2 - 4. Let k be o(-4). Which is greater: k or y?
y
Let r be 9 + 6/(-33) + (-60)/33. Suppose -r - 11 = -9*h. Suppose h*p = -3*p - 8*p. Which is smaller: p or -0.1?
-0.1
Let k(a) = -a**2 + 3*a + 23. Let x be k(-3). Suppose -3*z + 39 = b - 104, x*z + 4*b - 243 = 0. Let n = 84 + -36. Which is greater: z or n?
n
Let x be 22*(-12)/(-24) + -47. Suppose -6*z + z = 15, 2*z = -3*t. Let d be 3*((-9)/x - t/(-24)). Which is smaller: 7 or d?
d
Let p = 19542 + -19542. Let i be (3/(-10))/((-9)/(-4)). Which is bigger: i or p?
p
Let n = 3954 - 3953. Let a = -4/79 + -489/1264. Is a equal to n?
False
Suppose -2*n + 2*p + 14 = 0, -2*n - 2*p + 2 = -p. Suppose 0 = -n*v + 4*v + 6. Let s be (-352)/(-48) - (-2)/v. Which is greater: 4 or s?
s
Suppose -30*t + 34*t = 72. Suppose 25*k = t*k - 7. Let a(f) = 5*f - 3. Let z be a(k). Is z not equal to -6?
True
Let q(t) = t**3 + 4*t**2 + 2*t + 7. Let n be q(-4). Let j be n*((-5 - -157) + 2). Which is smaller: -152 or j?
j
Let z(q) = 2*q**3 - 69*q**2 - 22*q - 6. Let i be z(35). Which is smaller: 448 or i?
448
Let n = 4348 - 4347.926. Let u = 3.2189 + -0.2929. Let x = n + u. Is 8 less than x?
False
Let a be 34*510/(-137696) + (-3)/(-24). Let t = a - 5186/3679065. Is t greater than or equal to -1?
True
Let w = -267 + 325. Let d be w/(-5829)*(-1)/(-2). Is d >= -1?
True
Suppose 8*r - 5*r = 36. Let s(n) = -16 + 0*n + n - 6*n + 3*n. Let x be s(-14). Is r less than or equal to x?
True
Suppose 0 = -6*t + t. Let l = 258553111765195/179826 - 1437796046. Let g = -1/1462 + l. Which is smaller: t or g?
g
Let h be ((-2)/(-5))/(8/3895) + (-99)/132. Is h smaller than 74?
False
Let l be (-351)/468*1/(-3). Is l greater than or equal to 1.723?
False
Suppose -2*a + 3*w + 3 = -5, -5*a + 20 = 4*w. Let g be -7 + 7 - a/(-254). Let d(q) = q - 8. Let k be d(7). Is g less than or equal to k?
False
Let t be (-4)/(-2) + -8 + 15 + -8. Let h be (-8)/6*t/3. Which is smaller: h or -19?
-19
Let o = -15404 + 15371. Which is smaller: o or 159?
o
Let y = 3614 + -3616. Which is smaller: 2350 or y?
y
Let a = -28 - -28. Let x = -179 + 2683/15. Which is bigger: x or a?
a
Let b(d) = 730*d + 190. Let q be b(-1). Is -541 at least q?
False
Suppose 6 = -4*o - 14, -5*o = -2*d + 273. Let n be 11/((-11)/(-20)) - -4. Let u be -5 + d/n - (-2)/(-12). Which is smaller: u or -3/37?
-3/37
Suppose 9162*o = -c + 9165*o + 23, 2*o + 67 = -c. Suppose -2*s - 13 - 45 = 0. Which is smaller: s or c?
c
Let t be 41*((-1)/(-4))/((-32)/(-128)). Is 241/6 equal to t?
False
Suppose -2*a - 9 - 15 = 0. Let w be (-14)/(-21)*a/(-824). Is 1 greater than w?
True
Let k be ((-159)/265)/(13/10). Which is smaller: k or -1/2?
-1/2
Let q be 30/(-4)*32/(-5 + -11). Which is smaller: q or -72?
-72
Let i(j) = 18*j**3 - 39*j**2 - 9*j - 3. Let h(t) = -37*t**3 + 84*t**2 + 18*t + 6. Let b(d) = 6*h(d) + 13*i(d). Let v be b(-2). Is v less than or equal to -93?
True
Let q be (4/48)/(30/(-182496)). Let w = 507 + q. Which is smaller: -1 or w?
-1
Let h(l) = 9*l - 142. Let z be h(15). Let o be 0 + z/((-140)/(-8)). Let q = -0.1 + -0.9. Is q greater than o?
False
Let f(v) = 4*v**2 - 93*v + 222. Let m be f(42). Is m at least 3372?
True
Let o = 152.603 + 5.397. Are -16/5 and o unequal?
True
Suppose -11*s - 211 - 463 = 173. Is 21 >= s?
True
Let y be (593 + -628 - 622/(-18))*186*6/(-8). Suppose 5*t - 198 = 2*t. Are t and y equal?
False
Let g = -166 - -199. Suppose 0 = 4*f + 139 + g. Which is bigger: 0.2 or f?
0.2
Let h = 187.1 - 39.1. Let m = 147 - h. Which is smaller: m or -4/9?
m
Let d be 1/(-3 - 30/(-9)) + -2. Let j be ((-267)/8)/d + 135/360. Let m(k) = 5*k + 13. Let n be m(-9). Which is greater: j or n?
n
Suppose -42*v + 40721 = -397. Which is greater: 980 or v?
980
Let x(w) = 72*w + 1153. Let m be x(-16). Which is smaller: m or -10/93?
-10/93
Let x be 1*(-20)/150 + (-224224)/(-1676955). Which is greater: x or 0?
x
Suppose -2*v + 2*l = -1564, -454*v - 3908 = -459*v + 3*l. Is v <= 779?
False
Suppose -3*l - 65 + 44 = 0. Let f = l - -19/3. Which is greater: 63 or f?
63
Let i = -5548 + 5548. Which is smaller: -1/388 or i?
-1/388
Let p = 255 - 253. Let g be 301/p*(-4)/(-7). Which is greater: 87 or g?
87
Let d(l) = -3*l**3 - l - 1. Let c(f) = -2*f + 7. Suppose -g = -o - 3, 3*g - 7 = 2*o + 2. Let n be c(g). Let t be d(n). Which is smaller: -6 or t?
-6
Let w = -204.641 - -5.641. Do -10 and w have the same value?
False
Suppose 32 = -2*k + 40. Suppose -8 = 3*z + k, -x + 16 = 3*z. Is x at least 26?
True
Let l(y) = -1
|
{
"pile_set_name": "DM Mathematics"
}
|
7 PM?
4:44 PM
What is 310 minutes before 3:41 PM?
10:31 AM
What is 148 minutes after 6:35 PM?
9:03 PM
How many minutes are there between 1:58 PM and 2:34 PM?
36
How many minutes are there between 7:55 AM and 3:45 PM?
470
How many minutes are there between 12:03 PM and 9:22 PM?
559
What is 126 minutes after 6:00 PM?
8:06 PM
What is 279 minutes after 3:28 PM?
8:07 PM
How many minutes are there between 12:36 AM and 6:43 AM?
367
What is 504 minutes before 10:35 PM?
2:11 PM
How many minutes are there between 12:40 PM and 11:59 PM?
679
How many minutes are there between 7:37 PM and 3:29 AM?
472
What is 473 minutes after 12:20 PM?
8:13 PM
How many minutes are there between 2:41 AM and 7:01 AM?
260
How many minutes are there between 2:20 AM and 5:44 AM?
204
What is 617 minutes after 9:23 PM?
7:40 AM
What is 672 minutes before 1:12 AM?
2:00 PM
How many minutes are there between 7:57 AM and 2:08 PM?
371
What is 482 minutes after 3:10 AM?
11:12 AM
How many minutes are there between 4:15 AM and 9:25 AM?
310
How many minutes are there between 3:08 AM and 2:51 PM?
703
How many minutes are there between 5:12 PM and 12:59 AM?
467
What is 175 minutes before 9:20 AM?
6:25 AM
What is 503 minutes after 9:29 PM?
5:52 AM
How many minutes are there between 12:23 PM and 11:02 PM?
639
How many minutes are there between 1:34 PM and 5:54 PM?
260
How many minutes are there between 11:30 AM and 6:24 PM?
414
How many minutes are there between 4:31 PM and 4:25 AM?
714
How many minutes are there between 6:18 AM and 8:37 AM?
139
How many minutes are there between 4:51 PM and 3:15 AM?
624
How many minutes are there between 4:08 AM and 4:28 AM?
20
How many minutes are there between 9:08 AM and 9:47 AM?
39
How many minutes are there between 6:58 PM and 12:57 AM?
359
What is 473 minutes before 7:56 AM?
12:03 AM
What is 490 minutes after 7:24 AM?
3:34 PM
How many minutes are there between 12:57 AM and 12:01 PM?
664
What is 115 minutes after 11:56 AM?
1:51 PM
How many minutes are there between 9:46 PM and 3:03 AM?
317
How many minutes are there between 8:07 AM and 10:36 AM?
149
How many minutes are there between 7:13 PM and 6:22 AM?
669
How many minutes are there between 3:42 AM and 5:49 AM?
127
What is 719 minutes after 2:30 PM?
2:29 AM
How many minutes are there between 3:02 PM and 5:52 PM?
170
How many minutes are there between 10:09 PM and 10:36 PM?
27
What is 217 minutes after 10:07 AM?
1:44 PM
What is 549 minutes after 9:37 PM?
6:46 AM
What is 342 minutes after 4:23 PM?
10:05 PM
What is 48 minutes before 9:35 AM?
8:47 AM
How many minutes are there between 9:22 PM and 2:24 AM?
302
How many minutes are there between 10:57 AM and 5:22 PM?
385
What is 630 minutes after 4:49 PM?
3:19 AM
What is 558 minutes before 5:16 AM?
7:58 PM
What is 249 minutes before 12:11 AM?
8:02 PM
What is 628 minutes after 7:46 AM?
6:14 PM
How many minutes are there between 3:47 PM and 2:56 AM?
669
How many minutes are there between 6:29 PM and 8:37 PM?
128
How many minutes are there between 10:47 AM and 3:43 PM?
296
How many minutes are there between 1:26 PM and 3:34 PM?
128
What is 293 minutes after 11:06 AM?
3:59 PM
How many minutes are there between 5:35 PM and 10:59 PM?
324
How many minutes are there between 5:06 AM and 10:16 AM?
310
How many minutes are there between 3:12 PM and 4:01 PM?
49
What is 611 minutes after 1:24 AM?
11:35 AM
How many minutes are there between 5:37 AM and 11:51 AM?
374
How many minutes are there between 1:19 AM and 2:12 AM?
53
How many minutes are there between 2:31 PM and 9:40 PM?
429
How many minutes are there between 9:00 AM and 9:51 AM?
51
How many minutes are there between 3:39 PM and 9:53 PM?
374
What is 702 minutes after 4:43 PM?
4:25 AM
What is 128 minutes before 2:18 AM?
12:10 AM
How many minutes are there between 4:38 PM and 5:27 PM?
49
How many minutes are there between 4:55 AM and 1:06 PM?
491
How many minutes are there between 7:55 AM and 3:56 PM?
481
What is 596 minutes before 1:13 PM?
3:17 AM
What is 472 minutes after 1:54 PM?
9:46 PM
How many minutes are there between 5:47 PM and 1:57 AM?
490
What is 596 minutes after 8:54 AM?
6:50 PM
How many minutes are there between 8:41 PM and 1:37 AM?
296
How many minutes are there between 9:43 AM and 3:01 PM?
318
What is 609 minutes before 11:30 PM?
1:21 PM
What is 176 minutes after 3:37 PM?
6:33 PM
What is 652 minutes after 8:26 PM?
7:18 AM
How many minutes are there between 1:30 PM and 12:01 AM?
631
How many minutes are there between 12:05 PM and 7:30 PM?
445
How many minutes are there between 9:22 AM and 2:53 PM?
331
How many minutes are there between 3:44 PM and 10:30 PM?
406
What is 156 minutes after 6:26 PM?
9:02 PM
What is 181 minutes after 11:43 PM?
2:44 AM
How many minutes are there between 3:36 PM and 1:25 AM?
589
What is 292 minutes before 5:39 PM?
12:47 PM
How many minutes are there between 7:21 AM and 3:21 PM?
480
What is 148 minutes before 11:38 PM?
9:10 PM
How many minutes are there between 6:50 PM and 3:40 AM?
530
What is 605 minutes after 7:55 PM?
6:00 AM
How many minutes are there between 9:58 AM and 12:19 PM?
141
What is 468 minutes after 1:35 PM?
9:23 PM
How many minutes are there between 8:29 AM and 4:56 PM?
507
How many minutes are there between 9:07 AM and 3:46 PM?
399
How many minutes are there between 5:47 PM and 3:06 AM?
559
What is 714 minutes before 6:38 PM?
6:44 AM
What is 681 minutes after 8:56 AM?
8:17 PM
What is 709 minutes after 1:26 PM?
1:15 AM
How many minutes are there between 6:52 PM and 10:03 PM?
191
What is 663 minutes before 9:25 AM?
10:22 PM
What is 270 minutes before 12:02 AM?
7:32 PM
What is 467 minutes before 1:39 AM?
5:52 PM
What is 507 minutes before 2:54 PM?
6:27 AM
How many minutes are there between 5:53 AM and 3:37 PM?
584
How many minutes are there between 7:53 PM and 6:40 AM?
647
What is 69 minutes before 7:17 AM?
6:08 AM
What is 186 minutes before 7:21 AM?
4:15 AM
What is 132 minutes before 9:51 PM?
7:39 PM
How many minutes are there between 8:13 PM and 8:33 PM?
20
How many minutes are there between 1:29 AM and 3:48 AM?
139
How many minutes are there between 12:13 PM and 8:00 PM?
467
What is 388 minutes after 9:17 PM?
3:45 AM
What is 631 minutes before 6:35 PM?
8:04 AM
How many minutes are there between 3:38 PM and 6:23 PM?
165
What is 491 minutes before 8:18 AM?
12:07 AM
How many minutes are there between 2:42 PM and 11:41 PM?
539
How many minutes are there between 6:58 PM and 8:39 PM?
101
How many minutes are there between 12:57 AM and 4:03 AM?
186
What is 372 minutes after 11:44 AM?
5:56 PM
How many minutes are there between 6:10 AM and 12:24 PM?
374
What is 240 minutes after 6:50 AM?
10:50 AM
How many minutes are there between 10:34 PM and 7:53 AM?
559
How many minutes are there between 5:29 AM and 1:45 PM?
496
What is 90 minutes before 9:13 PM?
7:43 PM
What is 249 minutes after 12:06 AM?
4:15 AM
How many minutes are there between 10:21 AM and 1:11 PM?
170
How many minutes are there between 4:12 AM and 9:54 AM?
342
How many minutes are there between 3:04 PM and 8:29 PM?
325
What is 345 minutes after 7:04 PM?
12:49 AM
How many minutes are there between 9:41 AM and 11:56 AM?
135
How many minutes are there between 2:57 PM and 6:26 PM?
209
What is 279 minutes after 7:46 PM?
12:25 AM
How many minutes are there between 8:16 AM and 8:15 PM?
719
How many minutes are there between 10:12 AM and 7:57 PM?
585
How many minutes are there between 11:01 PM and 7:09 AM?
488
How many minutes are there between 12:42 PM and 11:47 PM?
665
What is 627 minutes before 3:38 AM?
5:11 PM
What is 706 minutes before 12:22 AM?
12:36 PM
How many minutes are there between 4:07 AM and 3:12 PM?
665
What is 457 minutes after 9:25 AM?
5:02 PM
What is 202 minutes after 12:46 PM?
4:08 PM
How many minutes are there between 5:50 AM and 11:14 AM?
324
How many minutes are there between 3:49 PM and 4:58 PM?
69
How many minutes are there between 2:55 PM and 4:27 PM?
92
How many minutes are there between 4:31 AM and 3:53 PM?
682
How many minutes are there between 10:28 PM and 6:50 AM?
502
How many minutes are there between 5:57 PM and 5:41 AM?
704
What is 680 minutes before 6:46 AM?
7:26 PM
What is 300 minutes before 4:58 PM?
11:58 AM
What is 374 minutes after 7:37 PM?
1:51 AM
How many minutes are there
|
{
"pile_set_name": "DM Mathematics"
}
|
= x*t(r) + 3*a(r). Determine h(-2).
10
Let x(f) = -f + 1. Let r be x(-4). Suppose -3*g - r = 10. Let o(v) = v**3 + 5*v**2 + 6. Determine o(g).
6
Let p(y) be the first derivative of -2*y**2 - 3*y + 1. Let o = -8 - -10. Suppose -5*d = 20, -h + 0*d - o*d - 10 = 0. Give p(h).
5
Let d(c) = -6*c**3 + 2*c**2 - 4*c + 4. Let n(m) = m**3 - m**2 + m - 1. Let z(w) = -d(w) - 5*n(w). Suppose -10*a + 15 = -15*a. Determine z(a).
4
Let x(y) = 0 - y + 1 + 6*y**2 - 2 + 0*y. Calculate x(-1).
6
Let m(k) = k + 3. Let v be m(-3). Let l(g) = -1 + v*g - g + 1. Determine l(-2).
2
Let z(t) be the second derivative of -t**6/360 + t**5/24 - t**4/12 + 5*t**3/6 + 3*t. Let d(o) be the second derivative of z(o). Calculate d(5).
-2
Let m(s) = 3*s + 11. Let i(b) = -b - 4. Let v(w) = 11*i(w) + 4*m(w). Let x(a) = -5*a + 1. Let o(d) = -4*v(d) - x(d). Calculate o(2).
1
Let r be (-8)/(-3) + (-4)/6. Suppose -18 = r*t + 5*g, 4*t = -2*g - 0*g - 20. Let y(w) = w + 9. Give y(t).
5
Suppose v + 2*f = -7, -1 = -3*v + 3*f + 23. Let d = -2 - v. Let g(o) be the first derivative of -o**2/2 - 7*o - 2. What is g(d)?
-2
Let d(s) = s**2 + s. Let l(v) = -v**3 + v**2 + 2*v. Let u(n) = 4*d(n) - l(n). What is u(-3)?
-6
Let c(f) be the first derivative of f**4/4 - 2*f**3 + 2*f**2 - 3*f + 2. Determine c(5).
-8
Let h(p) = p**2 - 6*p - 4. Suppose 10*b - 11*b + 6 = 0. Give h(b).
-4
Suppose 2*l - u = 6*l + 21, -4*l - 2*u = 18. Let i(v) be the third derivative of -v**5/60 - v**4/4 - 5*v**3/6 - 40*v**2. What is i(l)?
-5
Let v(g) = -g**2 - 10*g - 15. Let z = 6 + -14. Let k be v(z). Let l(r) = -r + 1. What is l(k)?
0
Let m(r) = -9*r. Let l be (-2 + (-2 - -5))*1. Let y be l*-1 + 0/1. Give m(y).
9
Let i(p) = -1 + 16*p**2 + 0*p**3 + p**3 - 13*p**2 - 3*p. What is i(-4)?
-5
Let a(p) = -p**2 + 11*p - 8. Suppose -h = f + 3*h + 2, 18 = 3*f + 4*h. Give a(f).
2
Let t(p) = p + 2. Suppose -u + 3*v - 9 = 0, v = -3*v + 20. Let r = -2 + u. Give t(r).
6
Suppose 4*t = 2*i - 0*t - 10, -i + 5 = -t. Suppose i*b - b = 0. Let f = -1 - b. Let a(h) = 5*h**3 + h**2 + 2*h + 1. What is a(f)?
-5
Let s(a) be the first derivative of -3*a**4/2 + 4*a**3/3 - 9*a**2/2 - 4*a - 2. Let p(d) = 5*d**3 - 3*d**2 + 8*d + 4. Let t(n) = 7*p(n) + 6*s(n). Calculate t(4).
-4
Let n(m) = -2*m - 7. Let r(g) = -g**3 + 9*g**2 - 10*g + 10. Let s be r(8). Give n(s).
5
Let a(m) = 3*m**2 - 3*m - 1. Let u = 68 - 71. Give a(u).
35
Suppose 0 = -3*d + 4 - 28. Let s(q) = -q**2 - 8*q - 5. Determine s(d).
-5
Let o(i) = 3*i**2 + 23*i - 2. Let g(f) = f**2 + 8*f - 1. Let h(z) = 8*g(z) - 3*o(z). Let r be h(-4). Let y(a) = -3 - r*a**2 - a + 2*a - 5*a. What is y(-2)?
-3
Let k(c) = -2*c**2 - 4*c - 5. Let v = -71 - -67. What is k(v)?
-21
Let b(f) = f**2 + 3*f + 3. Let g(u) = -u**2 + 8*u - 3. Let r(m) = 3 - 2*m + 3*m + 1. Let t be r(4). Let k be g(t). What is b(k)?
3
Let n(d) be the second derivative of -d**3/6 + d**2/2 - 2*d. Let s(m) = m**3 - 3*m**2 + 3*m - 10. Let c(h) = -5*n(h) - s(h). Calculate c(4).
-3
Let d(l) = l. Let j(t) = t**2 - t - 5. Let w(x) = -2*d(x) - j(x). Suppose 4*k - k - 18 = 0. Let a be (-24)/9*k/4. What is w(a)?
-7
Suppose -4*q + 1 = -7. Suppose 9 - 1 = -q*z. Let h(s) = -s**2 - 2*s + 5. Give h(z).
-3
Let i = -1 + 0. Let z(u) = u - 8. Let a(y) = -10. Let g(l) = 4*a(l) - 5*z(l). Determine g(i).
5
Let g(o) = 13*o**2 + 9*o - 8. Let b(y) = -3*y**2 - 2*y + 2. Let f be 4/(-8) - 3/2. Let r(w) = f*g(w) - 9*b(w). Suppose 2*z + 2*z = 0. Determine r(z).
-2
Let h(p) = -p - 21 + 3*p**2 - 20 + 38 - 3*p + p**3. Let m = 0 - 4. What is h(m)?
-3
Let b be ((-3)/(-9))/(1/6). Let h(m) be the third derivative of -m**6/120 + m**5/15 + m**4/8 - m**3/2 + 34*m**2. What is h(b)?
11
Let l = -4 + 6. Suppose -4 = -d - l. Let q(h) = -5*h**3 + 2*h**3 + d*h**3 + 4*h**2 - 5*h**2. Calculate q(0).
0
Let i = -86 + 90. Let m(w) = -2*w - 3. Give m(i).
-11
Let f(n) be the third derivative of -n**6/360 - n**5/24 - n**4/24 + n**3/3 + 4*n**2. Let s(x) be the first derivative of f(x). Determine s(-5).
-1
Let b(x) = x**3 - 4*x**2 - 3*x - 4. Let r be 44/10 - 12/(-20). What is b(r)?
6
Let t(h) = 5*h**2 + 5 + 3 - 4 - 3*h + h**2 - h**3. Determine t(6).
-14
Let m be (33/22)/(2/20). Suppose -3*z + 5*y - m = 0, 0*z - 2*z - 5*y = -15. Let h(n) = -n**3 + n - 11. Determine h(z).
-11
Let h(u) = -578*u + 580*u + 2*u**2 - 4 + 3. Give h(-4).
23
Let o(j) = 1 + 2*j + 1 + 4. Let n = 7 + -5. Suppose -n*s = -1 + 11. Calculate o(s).
-4
Let z(p) = 2*p - 4. Let t(b) = -b**2 - 5*b - 2. Let c be (1*-3)/(5 - 4). Let k be t(c). Calculate z(k).
4
Let o(p) = -6*p + 2*p**2 + 5*p**2 - 6*p**2 + 5. Give o(6).
5
Let r = -18 - -14. Let a(q) = -q**3 - 4*q**2 + q - 2. Calculate a(r).
-6
Let l(y) = -2*y + 1. Let h be (10/(-12))/((-13)/78). Determine l(h).
-9
Suppose 0 = -2*g + 5*g - 102. Let f = g + -39. Let i(m) be the second derivative of m**3/3 + 3*m**2 + m. Determine i(f).
-4
Let t(k) = -k**2 - 3*k + 5. Suppose a = -6*a - 28. What is t(a)?
1
Let a(w) = 6*w - 2. Let b(c) = c - 1. Let j(m) = -a(m) + 4*b(m). Give j(3).
-8
Let w = 5 + -2. Let l(o) be the second derivative of o**5/20 - o**4/4 + o**3/6 - o**2 - 24*o. Calculate l(w).
1
Let v(l) = 15*l - 11*l - 5*l + 2. Let k(a) = a**3 - 4*a**2 + 3*a + 3. Let d be k(3). Give v(d).
-1
Let t(r) = -6 + 0*r + 6*r**2 + 47*r**3 - 48*r**3 + 7*r. Give t(7).
-6
Let d = 64 + -61. Let k(c) = -c**2 + c. What is k(d)?
-6
Let w be (7/(-21))/(2/24). Let f(k) = -2*k - 2. What is f(w)?
6
Suppose 0 = -2*t - 0*t. Let m(o) = o**2 + 2 + t - 1. Let p = 8 + -6. Calculate m(p).
5
Let f be 44/36 + (-2)/9. Let z(p) = -p. What is z(f)?
-1
Let x(t) = -3*t - 3 + t**2 + 2 + 4. Let g(f) = f**2 - 2*f - 31. Let l be g(7). Calculate x(l).
7
Let o(h) = -h**3 + h**2 + h - 1. Let r(f) = 3*f**3 + 3*f**2 - 2*f + 3. Let t(n) = -2*o(n) - r(n). What is t(-5)?
-1
Let n(q) be the first derivative of -q**3/3 - 7*q**2/2 - 2*q - 3. Suppose -5*j - 5*p = 109 - 4, 67 = -3*j - 2*p. Let v be 4/(-10) + 140/j. Give n(v).
4
Let f(q) = -3*q + 4*q + 6*q - 5*q. Let c be 5*7/(70/(-12)). What is f(c)?
-12
Suppose 3*z = 4*z - 4. Suppose z*v = 12 + 4. Let n(c) = 2*c**2 - 6*c + 2. Determine n(v).
10
Let z(u) = 2*u**3 - 3*u**2 - 11*u - 1. Let d(h) = h**3 - 2*h**2 - 6*h - 1. Let x(i) = 7*d(i) - 4*z(i). Give x(-4).
21
Let w = -14 + 10. Let b(o) = 7*o - 8. Let x(r) = -4*r + 4. Let q be 6/(-2) - (2 - 0). Let j(m) = q*x(m) - 3*b(m). What is j(w)?
8
Suppose 0 = -4*u + 3 + 5. Let j(f) be the first derivative of f**4/4 - 2*f**3/3 + f**2 - f + 3. Give j(u).
3
Let x(d) be the second derivative of -3*d + 1/4*d**4 + 0*d**2 + 0 + 1/6*d**3. Calculate x(-1).
2
Suppose -v - s - 2 = 0, 0 = -2*v + 5*s - 0*s - 11. Let d(m) = m + 2. Give d(v).
-1
Let v be 1 + -2 - 4/(-1). Let r(f) = -6*f + 3. Determine r(v).
-15
Suppose -c = -m, 0 = -0*m - 2*m + 5*c. Suppose m = 4*t + 11 + 5. Let d(p) = p**3 + 4*p**2 + 5. What is d(t)?
5
Let p(v) = v**2 + 11*v + 7. Let y(n) = 6*n + 4. Let z(x) = -3*p(x) + 5*y(x). Determine z(-2).
-7
Let z(u) = -8*u - 5. Let o(g) = g + 1. Let b(w) = -6*o(w) - z(w). Determine b(3).
5
Let v(r) = r - 4. Let a(f) = 11 - 3*f + 3*f - 2*f. Suppose -4*y + 25 = -7. Let i be a(y). What is v(i)?
-9
Let u(l) = -l - 7. Suppose -2*o - 2*o + 28 = 0. Suppose 4*c + 8 = 0, 3*g - 4*c = -0*c - o. Let w be u(g). Let p(f) = -2*f**3 - 2*f**2 + 2*f + 3. What is p(w)?
7
Let u(i) = -i**3 + 6*i**2 - 5*i - 3. Let q = 24 + -18. Suppose -q*x = -3*x - 15. Determine u(x).
-3
Let p(u) = u**2 - 3*u + 3. Let y be p(3). Suppose -y*j - 2*j = -5. Let g(x) = 6*x**3 + x**2 - 2*x + 1. What is g(j)?
6
Let h be 1/3*(-4 - (-4 + 6)). Let r(f) = -3*f + 2. Let l(x) be the first derivative of 11*x**2/2 - 8*x - 1. Let u(o) = h*l(o) - 9*r(o). Calculate u(-2).
-12
Let m(t) = -2 + t**2 + 2*t - 5 + 0. Let v be 29/9 - (-8)/(-36). Suppose 0 = -4*o + 4*y - 40, v*o + 3*y + y = 5. Calculate m(o).
8
Suppose -10*r - 10 = -15*r. Let x(f) = r*f**3 - 3 + 0 + 5 - f**3. Calculate x(2).
10
Let s(t) = -t**3 - 6*t**2 + 2*t + 2. Suppose -3*y + 3*l = -6*y - 9, y = l - 9. Calculate s(y).
-10
Let d be (-3)/12*(3 - 15) + -3. Let u(o) = o**2 + o + 26. Determine u(d).
26
Let q(j) be the first derivative of j**2 - 2*j - 1/3*j**3 + 4. Determine q(4).
-10
Let t be 5/(1 - -29) - 70/(-12). Let a(q) = 4*q - 6. Calculate a(t).
18
Let w(t) = t**2. Suppose o + 1 = -m + 3, -4*o = 2*m - 8. Suppose -10 = -o*u - 0*u. Suppose a = -2*r + 1, a = u
|
{
"pile_set_name": "DM Mathematics"
}
|
0.06
Let n(f) = 2*f**3 + 2*f**2. Let k be n(-1). Let a = 43 + -41. What is the nearest to a in -3, k, -0.2?
k
Let x = -78.9 + 79. Let v = -5.07 - -0.07. Which is the closest to x? (a) v (b) -2/7 (c) -1
b
Let x = 7/2 - 6. Let w = x - -1. Which is the closest to -1? (a) w (b) 1 (c) 1/4
a
Let n = 11.9 - -14.1. Let w = n + -23. What is the closest to 2/5 in w, -0.5, -0.1?
-0.1
Let z = 3.08 - 2.78. Which is the nearest to 0.2? (a) 6/11 (b) 2/7 (c) z (d) -4
b
Let a = 33.29 - -0.71. Let d = -33.9 + a. Let p = -14 + 11. What is the nearest to p in d, 1/8, 0?
0
Let s = 1.3 + 2.7. Let l = -1 - s. What is the closest to 0.2 in l, 2/13, 4?
2/13
Let x = 8.6 - 9. Let h = 26/11 + -516/209. What is the nearest to 2/11 in h, x, 2?
h
Let w be 5800/80*(-2)/(-30) + -4. What is the nearest to w in 1, 0.5, 0.4, 4/7?
1
Let h be (0 + 61)/(0 - -4). Let p = 1045/68 - h. Let a be (-6)/4 + 45/(-18). What is the closest to 0 in p, -5, a?
p
Let z be 14/56*(2 + -3). What is the closest to 1/2 in 0.5, z, -4?
0.5
Let m = -24 + 28. Let h be 12/(-9)*6/m. What is the nearest to h in -1/2, -1, 0.02?
-1
Suppose 0 = 10*y - 6*y - 16. Let o = -38 - -37.4. What is the nearest to 1/3 in 0.5, y, o?
0.5
Let g = 4.745 + -4.7. Let v = g - 4.045. Let s = -5.02 - -0.02. Which is the closest to -0.3? (a) s (b) -1 (c) v
b
Let i be 3/(-2)*(-6)/27. Let d = i - -1/6. Let l = -4.022 - -0.022. What is the closest to -2/5 in d, l, -1?
-1
Let h = -17.12 - -17. Let j = 0.49 - 0.27. Let k = j + h. Which is the closest to 1? (a) -0.3 (b) 2 (c) k
c
Suppose 8*k + 30 = 22. What is the closest to 0.08 in -0.5, 4, k?
-0.5
Let z be -5 - -7 - 1*2. Let g = 4.3 + -5. Let u = 0.2 + g. Which is the nearest to z? (a) -3/7 (b) 4 (c) u
a
Suppose -8*l = 7 - 23. Let u be (5*-6*-1)/l. Which is the nearest to u? (a) 0 (b) 2/9 (c) -0.1
b
Let p = -428 + 423. What is the nearest to 0.4 in -1/4, p, 0.5, 0.2?
0.5
Let f = 8.84 - -0.16. Let y = 3 + -12.4. Let n = f + y. Which is the nearest to 1? (a) 1 (b) n (c) -0.2
a
Let v(r) = r**2 + 5*r + 4. Let b be v(-6). Let j = -2548 - -2545. What is the nearest to b in j, -0.3, -0.4?
-0.3
Let o = -84 - -84.1. Suppose 85 = 3*r + 2*r. Let d = -12 + r. What is the nearest to -1 in d, o, 0.4?
o
Let o = -41.46 + 41. Let z = 0.06 + o. Let p = -5.15 - -4.15. Which is the closest to p? (a) 1 (b) z (c) -1
c
Let q(m) = -m**2 + 2*m - 46. Let d be q(0). Let h = 30 + d. Let l = h - -15. Which is the closest to l? (a) -2/5 (b) -1 (c) -2/11
b
Suppose 0 = 3*o - 0*o + 72. Let q be 61/(-4) - 6/o. Let y be (126/q)/3 - -3. What is the nearest to -1/5 in -1, y, -0.2?
-0.2
Let w be (-96)/840 + ((-36)/10 - -4). What is the nearest to 0 in -5, 3, w, 1/7?
1/7
Let o = -129 + 121.1. What is the closest to 1 in o, -3/2, 0.3?
0.3
Let f = 1/61 + 57/244. Suppose -2*w = 2*i + 51 + 83, 4*i + 2*w = -264. Let v = -197/3 - i. Which is the nearest to v? (a) 0.2 (b) 0.1 (c) f
b
Let f = 0.63 - 0.55. What is the nearest to 2/5 in -1, -3, f, 0.4?
0.4
Let f = 0.47006 + 0.02994. Suppose 5*l + 1 + 9 = 0. Let m = 179/104 - 24/13. What is the closest to 2 in m, f, l?
f
Let t = 191 + -381/2. Let v = 44/115 + 2/115. Which is the nearest to t? (a) v (b) 0.2 (c) -1/4
a
Let j be (0 - -1)*(-10 + 5). Let g(f) = -f**2 - 5*f - 2. Let x be g(j). Let n = -637 + 633. What is the nearest to 1 in -3, x, n?
x
Let t = 613 + -611.9. What is the closest to -2 in -1/5, -2, 4, t?
-2
Let l be 1264/(-3210) + 2/5. Let q = l + -656/2247. Let a be (7 + 7 + 1)/3. What is the nearest to q in 3, 0.3, a?
0.3
Let k = -1 - 1. Let o be (8/32*-10)/(-2*5/12). Which is the nearest to 0? (a) o (b) -0.1 (c) k
b
Let y = -57 - -56.9. Let h = -2 + 1.8. Which is the closest to -1? (a) h (b) 0 (c) y
a
Let y = -999 + 996. Suppose 3*v + 13 = -0*v - 5*f, 5 = 5*v + 3*f. Suppose -j = v, -2*x + 3*j - 7*j = 24. Which is the nearest to -2? (a) y (b) x (c) 1/7
a
Let p = 729.6 - 729.7. Let w = -0.2 + 0.3. What is the closest to w in 0, p, -3/5?
0
Let l = 0.243 + -0.743. Which is the closest to -2? (a) 0.2 (b) 3/2 (c) l
c
Let k = 956 - 958. Let q = 0.05 + 0.05. Which is the closest to k? (a) 2 (b) q (c) 1/26
c
Let z = -2.1 + 1.9. Let q = -11.2 - -12.2. Which is the closest to -9? (a) z (b) q (c) -2/3
c
Suppose 2*i = -f - 18, 6*i = 3*i + 5*f - 14. Which is the nearest to 0.1? (a) 0.4 (b) 2/11 (c) i (d) -0.1
b
Let p be ((-3)/6)/(2*-1). Let m = 0.0223 + 0.2777. Which is the nearest to p? (a) -2/11 (b) m (c) -3/4
b
Let x be ((-28)/36)/(1/15). Let f = x - -10. Let r = 8.5 - 9. Which is the nearest to -1? (a) 0.2 (b) r (c) f
b
Let j be (-176)/88 + 24/9. Let d = -2.8 + 3. Which is the nearest to d? (a) 2/9 (b) -0.2 (c) j
a
Let g = 0.88 + -0.08. Let d = g - 3.8. Which is the closest to d? (a) -1 (b) 0.5 (c) 2/7
a
Suppose 0 = 66*z - 1427 + 173. Which is the nearest to z? (a) -3 (b) -0.2 (c) -5 (d) -1/6
d
Let i = -18.1 + 18. Let w = 13.3 - 14. Let s = -0.2 - w. Which is the nearest to i? (a) 0 (b) -3/7 (c) s
a
Let b be 12 + -18 - 50/(-8). What is the closest to b in -13/7, -1/6, 0?
0
Let s = 192/5 + -38. Suppose q - 209 = -3*m, 274 - 60 = 3*m + 2*q. Let w = m + -135/2. What is the closest to s in -0.5, -3/2, w?
w
Let l = 69 + -346/5. Let m = 109 - 108. Which is the nearest to m? (a) 0.3 (b) l (c) -0.1
a
Let c = 1.1841 + -0.1841. What is the closest to 4 in c, -0.5, -4, -1?
c
Let s be 28/(-6) - ((-8)/1 - -5). What is the nearest to 1/4 in -5, 2/23, s, -1/2?
2/23
Let s = 0.2 - 0.3. Let y = -57 - -98. Let p = y + -37. What is the nearest to s in -2/11, p, -2/5?
-2/11
Let w = -25 + 25. Suppose w = -5*g + 10 - 0. Suppose -5*n = -4*q - 2 - g, -q - 1 = -n. What is the nearest to q in -2, -0.1, -0.3?
-0.3
Let j = -21898/17 - -1288. What is the closest to -18 in -0.4, j, -2/15?
-0.4
Let a(h) = -18*h - 6. Let v be a(-1). Let i be 10/35*21/v. Let x = 14 - 89/6. What is the closest to i in 3, -1, x?
x
Let p = -17.32 + 17. Let m = 0.68 - p. Which is the closest to m? (a) 2/7 (b) 2 (c) -0.4
a
Let x = 9.5 - 10.5. Which is the closest to 0? (a) -2/15 (b) -0.3 (c) 2 (d) x
a
Let w be (-1)/(-3)*6/(-13). Which is the closest to w? (a) -0.3 (b) 0.7 (c) 0
a
Let r = -218 + 214. Which is the nearest to 3? (a) -5 (b) -1/5 (c) -1.9 (d) r
b
Let t = -0.075 + 0.164. Let u = -0.389 + t. Which is the closest to 1? (a) 4/5 (b) -2 (c) u
a
Let m = 1438 + -11505/8. What is the closest to -0.1 in -0.4, m, -2, -1/5?
m
Let y = 8 - 8. Let q = 0.057 + 22.943. Let l = 22.8 - q. Which is the nearest to 3? (a) -3 (b) l (c) y
c
Let n = 8.6 + 31.4. Let p = n + -39.6. Which is the nearest to -0.1? (a) p (b) -0.1 (c) 3
b
Let r be (-76)/19 - 162/(-39). Which is the closest to -16? (a) 0.5 (b) 1/7 (c) r
b
Let g be (17/((-255)/18))/(3/10). Let o = 82/15 - 17/3. Which is the closest to o? (a) 4 (b) 1 (c) g
b
Suppose 2*o = -4*s + 32, -s - 8 = -o + s. Let z be (-4)/(-8)*-2 - o. Let j = z + 17. What is the closest to 0 in j, 2, 3?
2
Let q = 37.35 + -37. Let j = -3.65 - q. Which is the nearest to 0? (a) -9 (b) j (c) -5
b
Let x = 0.06 - 67.06. Let v = x - -67.4. Which is the nearest to -4? (a) v (b) -4 (c) -0.1
b
Let a = 0.1 - 0. Let v = 3.01 - 3.01. Let y be 32/(-66) - 2/(-3). What is the nearest to a in -0.5, y, v?
y
Let n = -2.1 - -2. Let p = -9 + 1. Let i be 0/7 - (-3)/p. Which is the nearest to -0.5? (a) -1/3 (b) i (c) n
b
Let t = -561 - -557.9. Let p = 13 - 14.1. Let d = p - t. Which is the nearest to 0? (a) -4 (b) -3/2 (c) d
b
Let p be (1 - (-7179)/12) + 15/20. Let k be ((-1)/20)/(8/p*10). Which is the nearest to 3? (a) -3 (b) k (c) 2
c
Let z = -4 - -2. Let s(l) = -2*l**2 - 10*l - 3. Let v be s(-7). Let k be v/6 - 2/(-12). Which is the closest to -0.03? (a) -1 (b) z (c) k
a
Let w = 36.3 + -36. Let f be 8/6 + (-5)/15. Which is the closest to f? (a) 1/3 (b) w (c) -3
a
Let r = 0.6 - 1. Let t = 0.3 + r. Let o = 0.4445 + -0.0445. What is the nearest to 1/2 in t, 2/13, o?
o
Let z = 18 - 17.5. What is the closest to -11 in 3, z, -1?
-1
Let r = 181 + -180.9. Which is the nearest to r? (a) -2 (b) 3 (c) 0.2
c
Let v = -1.58 + -0.22. Let u = v - -1.9. Let l be 1*46/(-22) + 2. Which is the closest to 2? (a) l (b) u (c) -2
b
Let f = -6.2 - -3.2. Let r = 9 - 5. Let x = r + -3.7. Which is the nearest to 0.1? (a) 2
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(171) + 2)) - sqrt(171)))**2 + ((-1 + sqrt(171) + 0)**2 - sqrt(171)) + sqrt(171) + 3 + sqrt(171) + -1 + sqrt(171) + 1.
-18*sqrt(19) + 355
Simplify 1 + ((2*((sqrt(190) + sqrt(190) + sqrt(190)*-1)*3 - -2*(sqrt(190)*1 + sqrt(190))))/(sqrt(360)*2 + 4*sqrt(490)))**2.
1331/400
Simplify -1*(-5*(6*sqrt(5)*2 + ((sqrt(120)/sqrt(3))/sqrt(8))**2) - (-2*(-1*sqrt(405) + 5))**2).
-300*sqrt(5) + 1745
Simplify sqrt(832) + -1 - (sqrt(13) - (-5 + sqrt(13) + 0)**2) - (-4*(sqrt(1872) + -1))**2 - (1 + (sqrt(91) + sqrt(91)*-2)/sqrt(7))*4*-5.
-29911 + 361*sqrt(13)
Simplify (-1*(sqrt(110) + sqrt(110)*3 + sqrt(110)) - sqrt(110))/(sqrt(10) + sqrt(120)/(sqrt(24)/sqrt(2))) + (3*-2*sqrt(33))/(-3*(sqrt(3) + sqrt(27))).
-5*sqrt(11)/2
Simplify (-3*(2*sqrt(288) + 1 + -6*-2*sqrt(288)) + 4 + sqrt(288)*2 + -1*-1*sqrt(288))**2*-5.
-2190245 + 4680*sqrt(2)
Simplify (0 + 6*(-5 + (-5 + sqrt(180) + 1 + sqrt(180) - sqrt(180)) + sqrt(180) + (sqrt(180) - (4 + (-3*sqrt(180) - sqrt(180))))))**2.
-39312*sqrt(5) + 323604
Simplify ((sqrt(68) + 0 + 4)*-2 + -1)**2 - (-5*sqrt(51)/(sqrt(36)/(sqrt(24)/sqrt(2))) + 1).
77*sqrt(17) + 352
Simplify (-5*(5 + -6*(0 + sqrt(108)) + -5)*-4*-4)**2.
24883200
Simplify (sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 1))*2 + 4 + sqrt(1584) + -2)**2 - (1 + sqrt(1584) + 0 - (sqrt(1584) + 1 - sqrt(1584))*-4)*-6.
72*sqrt(11) + 14286
Simplify ((3 + -1*-3*sqrt(125) + sqrt(125) + (sqrt(125)*-2*6 - sqrt(125)) + -3)*-1)**2.
10125
Simplify 4*(sqrt(56)/sqrt(4)*6 - sqrt(84)/(-2*sqrt(6)))/((sqrt(448) + 1*sqrt(448) - sqrt(448))*5).
13*sqrt(2)/20
Simplify ((1*sqrt(252)*-1)/((2*sqrt(6) + sqrt(6))*-2))/(1*sqrt(6)*3 + (sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66) + 3*sqrt(66) + sqrt(66))/sqrt(11)).
sqrt(7)/66
Simplify 2 + 5*(sqrt(11)*-1 + sqrt(11) + 0) - (-6*(sqrt(44)/(1*sqrt(4)) + (sqrt(11) + -1 + sqrt(11))*5))**2.
-48814 + 3960*sqrt(11)
Simplify ((sqrt(120)/(6*sqrt(10)) + sqrt(12) + sqrt(60)/sqrt(5)*4)/((sqrt(48) + 1*sqrt(2352))/(sqrt(12) + (sqrt(144)*-1 + sqrt(144) + sqrt(144))/sqrt(12))))**2.
961/192
Simplify (-4 + 2 + 1*(3*-2*sqrt(847) + sqrt(847)) + 1 + -2 + 1)**2.
220*sqrt(7) + 21179
Simplify (3 + -3*sqrt(80) + sqrt(5) + (sqrt(10)/sqrt(2) + sqrt(5) - sqrt(5)) + -4 + sqrt(5))**2 - (sqrt(80)*2 + 5)*2.
2*sqrt(5) + 396
Simplify -2*(5 + (sqrt(13) + 1)**2 + 0 + (sqrt(13) - -2*sqrt(13))) + (((sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91)*-1)))*-2)/(sqrt(567)*-2 + sqrt(7)))**2.
-38 - 10*sqrt(13)
Simplify ((sqrt(130)*-1 + sqrt(130))/sqrt(10)*-2)**2 + -2 + -2 + -2*sqrt(208) + -1.
-8*sqrt(13) - 5
Simplify (-2*(sqrt(7) + (sqrt(112))**2) - (sqrt(7) + (-2*sqrt(42))/sqrt(6))) + -3 - (sqrt(49) - sqrt(196)*4)/(sqrt(35)/(sqrt(5)*-1)).
-227 - 8*sqrt(7)
Simplify 2*((sqrt(171) + sqrt(171) + sqrt(171) + -3*sqrt(171)*3)/(3*(sqrt(9) + 3*sqrt(9)) + sqrt(9)) + 0)*5.
-60*sqrt(19)/13
Simplify -4*((2 + sqrt(2299))*1 + -3 + 2 + sqrt(19) + 2) + 4 + 5.
-48*sqrt(19) - 3
Simplify ((-2 + 2*sqrt(1900))**2 + sqrt(1900) - (3*1*sqrt(304) + sqrt(304))) + 2*4*((sqrt(76)*-3)**2 + 0).
-86*sqrt(19) + 13076
Simplify -1*(-3 + (sqrt(6292) + -2*sqrt(6292) - sqrt(416)/sqrt(128))/(sqrt(48)/(-3*((sqrt(12) - -2*sqrt(12)) + sqrt(12) - sqrt(12)) + sqrt(12)))).
-90*sqrt(13) + 3
Simplify (-5*(3 + ((0 + sqrt(700) + 2)*-5 + -5*(sqrt(700) + (0 + sqrt(700))*5))*4))**2.
2590000*sqrt(7) + 343034225
Simplify ((sqrt(5) + (sqrt(720) + 0 - sqrt(720)) + -3)*-6*1)**2 + ((sqrt(80)*2 + sqrt(80) - sqrt(80)) + 3 - -1*sqrt(320)/sqrt(4)).
-204*sqrt(5) + 507
Simplify (4 + 3*(-5 + sqrt(125)*1 + sqrt(125) + 2)*1*5)**2 + 2.
-12300*sqrt(5) + 114183
Simplify (-1 + -1 + sqrt(98))**2 + -3 + ((2*sqrt(216))/(sqrt(21)/(sqrt(7) - sqrt(112))))**2.
-28*sqrt(2) + 2691
Simplify 2*(2 + sqrt(1584) + -1 - (sqrt(1584)*1 + 0) - (-2*sqrt(1584) + 1 + (-1 + sqrt(1584) - sqrt(1584))*1))**2.
96*sqrt(11) + 12674
Simplify (5 + ((sqrt(1377) - (-1 + sqrt(1377))) + 5 + sqrt(1377) + sqrt(1377) - sqrt(1377) - -2*sqrt(1377)*-2) + 6*(sqrt(1377)*3 + 5))**2 + -4.
11070*sqrt(17) + 311502
Simplify -2*((-4*-1*sqrt(99) - (-2 + sqrt(99) + -4))*4*-1 + 0 + 1)**2.
-29570 - 3312*sqrt(11)
Simplify -2*(-5 + (-2*(sqrt(114) - sqrt(114)*3))/(sqrt(1350) + sqrt(6) - sqrt(6))*4*-4).
10 + 128*sqrt(19)/15
Simplify ((sqrt(384) - (sqrt(384) - 2*sqrt(384)*1)) + sqrt(384) - sqrt(384))/(sqrt(2904)/sqrt(2)) + -2.
-2 + 8*sqrt(2)/11
Simplify (-6*2*sqrt(1862))/(sqrt(8) - sqrt(40)/sqrt(5) - 1*sqrt(128)).
21*sqrt(19)/2
Simplify (3*sqrt(66)*-3 - (sqrt(66) + (sqrt(66) - (3*sqrt(66) + sqrt(66)))*-2))/(-1*sqrt(6)*5 - ((sqrt(6) - sqrt(54)*3) + sqrt(6))).
-8*sqrt(11)
Simplify ((sqrt(144)/sqrt(8) + (sqrt(96)/sqrt(8))/sqrt(6))*-5 + (sqrt(98) - (sqrt(98)*1 + -2) - (sqrt(2) + -1*(sqrt(2) + 1 + sqrt(2)))*-6))**2.
208*sqrt(2) + 1368
Simplify ((4*-4*sqrt(308)*4)/(-4*(sqrt(396) - sqrt(396)*2)))**2.
1792/9
Simplify (5*(6*(1 + -1 + sqrt(1700))*5 + -2 + 3))**2.
15000*sqrt(17) + 38250025
Simplify (2*sqrt(85)*2)/(sqrt(5) - (1*sqrt(500) + sqrt(5))) - (-1 + ((3*2*sqrt(833))**2 - sqrt(833))*4).
-119951 + 138*sqrt(17)/5
Simplify (sqrt(2736) + sqrt(2736)*-1 + 4 + sqrt(2736) + 2 + (-1 + 1*sqrt(19) - sqrt(95)/sqrt(5)*6))**2.
70*sqrt(19) + 956
Simplify (4*(1*(sqrt(152) - (sqrt(152) - (sqrt(152)*6 - sqrt(152)) - sqrt(152) - sqrt(152))) - sqrt(152) - sqrt(152))/(3*sqrt(648))*-3)**2.
7600/81
Simplify ((sqrt(3087) + sqrt(3087)*3 - sqrt(63)*-6*-3)/(-3*sqrt(36) - (sqrt(9) - (-5*sqrt(81))/sqrt(9) - sqrt(9))))**2.
700/121
Simplify 5*-6*(((sqrt(480)*-4)/sqrt(12))/(2*sqrt(48)/sqrt(6)) + 2).
-60 + 60*sqrt(5)
Simplify 5 + (2 + sqrt(1584) + 0)*5 + (sqrt(1584) + sqrt(1584) + -2 + 0 + 0)**2*-4.
-25345 + 444*sqrt(11)
Simplify (((1*sqrt(825)*-4)/(-6*(-1*sqrt(192) + sqrt(192) - sqrt(192))) + 0)*-2)**2.
275/36
Simplify (-6*3*sqrt(65) + (sqrt(65)*2 - sqrt(65))*-3)/(2*sqrt(320)*-3 - ((sqrt(320) - sqrt(320)*-1)*4 + sqrt(320))).
7*sqrt(13)/40
Simplify 2*(-5 + sqrt(153) + 0 - sqrt(153)) + 5 + 5*(sqrt(153) - (sqrt(153) + 0))**2*1*-1.
-5
Simplify (sqrt(1053) + -2 + sqrt(1053) + -1 - -2*(sqrt(1053) - (sqrt(1053) + -2))) + (sqrt(1053) - (sqrt(1053) + 1)*6) + 3*(-2 + sqrt(1053)).
-11
Simplify -3 + 0 + (-4*(1 + sqrt(192)) + 4 - ((sqrt(192) - sqrt(192)*1) + -4 - sqrt(192) - (-1 + 1*sqrt(192) + sqrt(192))))**2.
-48*sqrt(3) + 198
Simplify 2 + (-6*(sqrt(891) + -1) - (-2*sqrt(891) + 3 - sqrt(891)) - (-2 + (sqrt(891) + 1 - sqrt(891)) + -2)) + 0.
-27*sqrt(11) + 8
Simplify (5*((sqrt(68) + 5*(sqrt(68) + sqrt(68)*1))*-5*-2)/(6*(sqrt(256) - (sqrt(256)*-2 + sqrt(256)))*-1))**2.
1285625/2304
Simplify ((4*sqrt(196)/sqrt(4))/(sqrt(35)/(sqrt(20)/sqrt(4)) + sqrt(7)) + (-1*sqrt(567) + 4 - (-3 + sqrt(567)*1)))**2.
-224*sqrt(7) + 1841
Simplify ((-2*sqrt(91) - sqrt(91))*-4)/(sqrt(567) + sqrt(7)) - (sqrt(91) + sqrt(91)*-2*3)/(sqrt(7)*-3*-1).
43*sqrt(13)/15
Simplify ((sqrt(104) + (sqrt(104) + sqrt(104)*2)*4)*-4*2)/((-3*sqrt(200) - sqrt(200))*-5*6).
-13*sqrt(13)/75
Simplify (((sqrt(121) + -1*sqrt(121))*4)/(-2*sqrt(1331) - sqrt(1331))*6 + (-6*(sqrt(396) + 0 - sqrt(396)) - (sqrt(176)*-1 + sqrt(33)/sqrt(48))))**2.
2475/16
Simplify 2*(-2 + ((-2 + sqrt(396) + 0)*4)**2)*-2 + 1.
-25591 + 1536*sqrt(11)
Simplify 2*-5*(sqrt(176) - (sqrt(176) + -2*-2*sqrt(176))**2) - (sqrt(176) - (-3 + sqrt(176) + -2*sqrt(176) + sqrt(176)) - (sqrt(176) + 0 + 4))**2.
-40*sqrt(11) + 43999
Simplify (4*(-1 + sqrt(76) + 5 + -4 - (sqrt(76) - ((sqrt(76) + sqrt(76) + 0)*4 - sqrt(76)) - (3*sqrt(76)*2 + sqrt(76)))))**2.
238336
Simplify (((sqrt(68) - sqrt(68)*2)*1 - (sqrt(68) + (-3*1*sqrt(68) - sqrt(68)) + sqrt(68)))*-4)/(-3*sqrt(8)/sqrt(2) + -6*sqrt(12)/sqrt(3)) + 0.
4*sqrt(17)/9
Simplify (-3 + (sqrt(605) + -2)*4 + (5 + sqrt(605))*-3 + 3)**2 + -3.
-506*sqrt(5) + 1131
Simplify 3 + (((sqrt(270) - (sqrt(270) - sqrt(270)*2))*1 - sqrt(270))/(sqrt(20)/sqrt(2)*-4) + -5 + -2)**2.
21*sqrt(3)/2 + 859/16
Simplify (sqrt(684)/sqrt(588) + (1*sqrt(171) - sqrt(171))/sqrt(3))/(sqrt(3) - sqrt(3)*-4*2 - (sqrt(3) + sqrt(75)*5)).
-sqrt(19)/119
Simplify ((sqrt(112) + sqrt(112)*3)*-3)/sqrt(4) + (0 + 3*(sqrt(700) + 0))**2.
-24*sqrt(7) + 6300
Simplify ((sqrt(18)/(sqrt(6)/sqrt(2)))/(1*sqrt(6)/sqrt(2)) - ((sqrt(162) + 1 + sqrt(162) + 1)**2 - (3 + 2*sqrt(162) + sqrt(162)))) + 1.
-648 - 44*sqrt(2)
Simplify ((((sqrt(288)*-1)/sqrt(6) + sqrt(48))/(sqrt(972)*-1))/((6*sqrt(180))/(2*sqrt(360))))**2.
0
Simplify (-1 + -1 + (2 + (sqrt(448) - (-4 + (sqrt(448
|
{
"pile_set_name": "DM Mathematics"
}
|
tors of 4171591?
4171591
What are the prime factors of 501302?
2, 47, 5333
What are the prime factors of 1684991?
7, 11, 79, 277
What are the prime factors of 755010?
2, 3, 5, 8389
List the prime factors of 2238925.
5, 13, 83
What are the prime factors of 151655?
5, 7, 619
List the prime factors of 9446608.
2, 59, 10007
What are the prime factors of 2717967?
3, 7, 29, 4463
List the prime factors of 30475637.
109, 279593
List the prime factors of 14699717.
2593, 5669
List the prime factors of 1239817.
1239817
What are the prime factors of 58469?
59, 991
What are the prime factors of 610586?
2, 397, 769
List the prime factors of 246002.
2, 123001
What are the prime factors of 8236696?
2, 13, 29, 2731
What are the prime factors of 10092170?
2, 5, 11, 23, 3989
List the prime factors of 5240722.
2, 193, 13577
List the prime factors of 546017.
546017
What are the prime factors of 1056008?
2, 132001
What are the prime factors of 346598?
2, 7, 19, 1303
List the prime factors of 8997261.
3, 7, 13, 32957
List the prime factors of 904388.
2, 311, 727
What are the prime factors of 32505358?
2, 103, 157793
List the prime factors of 1930508.
2, 482627
List the prime factors of 23346.
2, 3, 1297
What are the prime factors of 4856466?
2, 3, 409, 1979
List the prime factors of 470255.
5, 163, 577
List the prime factors of 6532989.
3, 23, 73, 1297
What are the prime factors of 189807?
3, 151, 419
List the prime factors of 229282.
2, 114641
List the prime factors of 14913779.
367, 40637
What are the prime factors of 3146986?
2, 199, 7907
What are the prime factors of 335706?
2, 3, 7, 7993
List the prime factors of 40363.
181, 223
What are the prime factors of 115919?
19, 6101
What are the prime factors of 488610?
2, 3, 5, 61, 89
List the prime factors of 186662.
2, 7, 67, 199
What are the prime factors of 68856?
2, 3, 19, 151
What are the prime factors of 38439?
3, 4271
What are the prime factors of 2621903?
2621903
What are the prime factors of 430588?
2, 107647
List the prime factors of 1307501.
13, 43, 2339
What are the prime factors of 516062?
2, 258031
What are the prime factors of 206360?
2, 5, 7, 11, 67
List the prime factors of 27417.
3, 13, 19, 37
What are the prime factors of 244075?
5, 13, 751
What are the prime factors of 3309522?
2, 3, 551587
List the prime factors of 993711.
3, 139, 2383
List the prime factors of 37566.
2, 3, 2087
List the prime factors of 259006.
2, 11, 61, 193
What are the prime factors of 3180?
2, 3, 5, 53
List the prime factors of 4052974.
2, 2026487
What are the prime factors of 799212?
2, 3, 66601
List the prime factors of 1480877.
43, 34439
List the prime factors of 167805.
3, 5, 11, 113
What are the prime factors of 116398?
2, 58199
What are the prime factors of 233359?
7, 17, 37, 53
What are the prime factors of 9374082?
2, 3, 1562347
What are the prime factors of 617249?
617249
List the prime factors of 305989.
67, 4567
List the prime factors of 2149325.
5, 149, 577
What are the prime factors of 897241?
897241
What are the prime factors of 1101527?
7, 37, 4253
List the prime factors of 3525443.
17, 29, 7151
What are the prime factors of 927964?
2, 139, 1669
What are the prime factors of 27967362?
2, 3, 1753, 2659
What are the prime factors of 110924?
2, 11, 2521
What are the prime factors of 56781?
3, 701
What are the prime factors of 35161?
7, 5023
What are the prime factors of 293365?
5, 23, 2551
List the prime factors of 1930846.
2, 965423
What are the prime factors of 3003524?
2, 23, 32647
List the prime factors of 122089.
11, 1009
List the prime factors of 7304609.
13, 211, 2663
What are the prime factors of 16236370?
2, 5, 43, 61, 619
List the prime factors of 5263083.
3, 7, 27847
What are the prime factors of 7160117?
41, 174637
List the prime factors of 6854528.
2, 53551
What are the prime factors of 1253270?
2, 5, 23, 5449
List the prime factors of 1211125.
5, 9689
List the prime factors of 4568850.
2, 3, 5, 11, 13, 71
List the prime factors of 653631.
3, 11, 29, 683
What are the prime factors of 36283?
13, 2791
What are the prime factors of 34804?
2, 7, 11, 113
What are the prime factors of 6665819?
17, 241, 1627
List the prime factors of 7433990.
2, 5, 47, 15817
What are the prime factors of 382395?
3, 5, 13, 37, 53
List the prime factors of 638410.
2, 5, 63841
List the prime factors of 377359.
19, 19861
What are the prime factors of 5389642?
2, 37, 173, 421
List the prime factors of 642476.
2, 160619
What are the prime factors of 464235?
3, 5, 30949
List the prime factors of 487700.
2, 5, 4877
List the prime factors of 288015.
3, 5, 7, 13, 211
List the prime factors of 624694.
2, 7, 44621
List the prime factors of 7565008.
2, 11, 53, 811
What are the prime factors of 25957999?
25957999
What are the prime factors of 14953061?
193, 77477
List the prime factors of 161623.
7, 11, 2099
List the prime factors of 27868713.
3, 9289571
List the prime factors of 326565.
3, 5, 41, 59
What are the prime factors of 3353721?
3, 7, 159701
List the prime factors of 7374670.
2, 5, 41, 17987
List the prime factors of 446755.
5, 199, 449
List the prime factors of 611706.
2, 3, 269, 379
What are the prime factors of 14289643?
613, 23311
What are the prime factors of 737114?
2, 7, 37, 1423
List the prime factors of 22189423.
22189423
List the prime factors of 1716091.
13, 101, 1307
List the prime factors of 559690.
2, 5, 97, 577
What are the prime factors of 250692?
2, 3, 13, 1607
What are the prime factors of 5348?
2, 7, 191
What are the prime factors of 5061031?
5061031
What are the prime factors of 6827915?
5, 1365583
What are the prime factors of 3948926?
2, 461, 4283
What are the prime factors of 22264756?
2, 61, 91249
What are the prime factors of 60337?
60337
What are the prime factors of 3192903?
3, 7, 59, 859
List the prime factors of 230823.
3, 83, 103
What are the prime factors of 191428?
2, 47857
What are the prime factors of 639840?
2, 3, 5, 31, 43
List the prime factors of 2235623.
13, 23, 7477
What are the prime factors of 1213099?
29, 59, 709
What are the prime factors of 15228439?
647, 23537
What are the prime factors of 354284?
2, 7, 12653
What are the prime factors of 3360200?
2, 5, 53, 317
What are the prime factors of 181240?
2, 5, 23, 197
List the prime factors of 585164.
2, 146291
List the prime factors of 2733108.
2, 3, 7, 32537
What are the prime factors of 212205?
3, 5, 7, 43, 47
List the prime factors of 3916797.
3, 1305599
List the prime factors of 196504.
2, 7, 11, 29
What are the prime factors of 8542681?
7, 43, 101, 281
What are the prime factors of 3935810?
2, 5, 393581
List the prime factors of 2425498.
2, 37, 73, 449
List the prime factors of 8064234.
2, 3, 448013
What are the prime factors of 486483?
3, 31, 5231
List the prime factors of 173242.
2, 19, 47, 97
What are the prime factors of 628466?
2, 314233
What are the prime factors of 17701335?
3, 5, 17, 857
What are the prime factors of 282495?
3, 5, 37, 509
List the prime factors of 1007742.
2, 3, 53, 3169
List the prime factors of 387618.
2, 3, 7, 11, 839
List the prime factors of 13755758.
2, 587, 11717
List the prime factors of 2628205.
5, 525641
List the prime factors of 9233512.
2, 271, 4259
List the prime factors of 4626825.
3, 5, 7, 1259
What are the prime factors of 5391974?
2, 7, 385141
List the prime factors of 7366098.
2, 3, 1227683
List the prime factors of 689227.
7, 11, 8951
What are the prime factors of 3998022?
2, 3, 7, 95191
What are the prime factors of 6389011?
1129, 5659
What are the prime factors of 21057?
3, 7019
List the prime factors of 3466362.
2, 3, 71, 79, 103
List the prime factors of 1214071.
53, 22907
What are the prime factors of 2234640?
2, 3, 5, 9311
List the prime factors of 131081.
19, 6899
List the prime factors of 12435273.
3, 1381697
What are the prime factors of 15591593?
53, 294181
What are the prime factors of 90348?
2, 3, 7529
List the prime factors of 64922.
2, 11, 13, 227
List the prime factors of 5401332.
2, 3, 59, 2543
List the prime factors of 124663.
7, 11, 1619
List the prime factors of 726168.
2, 3, 79, 383
List the prime factors of 753929.
11, 68539
List the prime factors of 524251.
7, 13, 823
List the prime factors of 13800838.
2, 17, 71, 5717
What are the prime factors of 7382949?
3, 7,
|
{
"pile_set_name": "DM Mathematics"
}
|
is the v'th term of -1033, -1032, -1031, -1030, -1029?
v - 1034
What is the y'th term of -763, -777, -791, -805, -819?
-14*y - 749
What is the z'th term of -2920, -5837, -8754, -11671?
-2917*z - 3
What is the x'th term of 17, 89, 209, 377?
24*x**2 - 7
What is the d'th term of 4114, 8223, 12332, 16441, 20550, 24659?
4109*d + 5
What is the a'th term of 15, 83, 151, 219, 287?
68*a - 53
What is the m'th term of 2526, 5056, 7586, 10116, 12646?
2530*m - 4
What is the o'th term of -607, -1197, -1771, -2323, -2847, -3337, -3787?
o**3 + 2*o**2 - 603*o - 7
What is the s'th term of -101, -118, -147, -194, -265, -366?
-s**3 - 10*s - 90
What is the q'th term of 292, 1173, 2642, 4699, 7344?
294*q**2 - q - 1
What is the x'th term of 88, 334, 746, 1324?
83*x**2 - 3*x + 8
What is the a'th term of -121, -94, -81, -88, -121?
-a**3 - a**2 + 37*a - 156
What is the c'th term of -346, -348, -352, -358, -366?
-c**2 + c - 346
What is the n'th term of 79, 60, 29, -14, -69?
-6*n**2 - n + 86
What is the z'th term of 236, 237, 238?
z + 235
What is the u'th term of -9, -11, -13, -15, -17?
-2*u - 7
What is the w'th term of 57, 38, 19, 0, -19?
-19*w + 76
What is the a'th term of 41, 82, 123, 164, 205?
41*a
What is the m'th term of -542, -544, -548, -554, -562, -572?
-m**2 + m - 542
What is the p'th term of -559, -1160, -1763, -2368, -2975?
-p**2 - 598*p + 40
What is the y'th term of -30, -59, -88, -117, -146, -175?
-29*y - 1
What is the x'th term of -15, -28, -41, -54?
-13*x - 2
What is the f'th term of 45, 43, 55, 87, 145, 235, 363?
f**3 + f**2 - 12*f + 55
What is the r'th term of 67, 80, 95, 112, 131, 152?
r**2 + 10*r + 56
What is the k'th term of -44, -81, -118?
-37*k - 7
What is the o'th term of -2, 3, 26, 79, 174, 323, 538?
2*o**3 - 3*o**2 - 1
What is the q'th term of -12, -38, -82, -144?
-9*q**2 + q - 4
What is the t'th term of 60, 108, 168, 246, 348, 480?
t**3 + 41*t + 18
What is the m'th term of 400, 399, 398, 397, 396, 395?
-m + 401
What is the z'th term of 72, 158, 244, 330, 416, 502?
86*z - 14
What is the w'th term of 13, 6, -15, -56, -123, -222?
-w**3 - w**2 + 3*w + 12
What is the h'th term of 7, -21, -97, -245, -489?
-4*h**3 + 11
What is the s'th term of -22, -57, -104, -169, -258, -377?
-s**3 - 28*s + 7
What is the r'th term of -227, -220, -201, -164, -103, -12, 115, 284?
r**3 - 228
What is the b'th term of -540, -1082, -1624?
-542*b + 2
What is the n'th term of 1041, 1042, 1053, 1080, 1129, 1206?
n**3 - n**2 - 3*n + 1044
What is the m'th term of -114, -219, -324, -429, -534, -639?
-105*m - 9
What is the m'th term of -76, -86, -82, -58, -8, 74, 194, 358?
m**3 + m**2 - 20*m - 58
What is the c'th term of -625, -1257, -1897, -2551, -3225, -3925, -4657?
-c**3 + 2*c**2 - 631*c + 5
What is the f'th term of -1501, -2998, -4491, -5980?
2*f**2 - 1503*f
What is the u'th term of 8, 46, 120, 236, 400?
u**3 + 12*u**2 - 5*u
What is the u'th term of -43382, -86763, -130144?
-43381*u - 1
What is the q'th term of -30, -66, -102?
-36*q + 6
What is the m'th term of 23, 71, 159, 293, 479?
m**3 + 14*m**2 - m + 9
What is the d'th term of -543, -1077, -1611, -2145, -2679, -3213?
-534*d - 9
What is the y'th term of -68, -128, -184, -236, -284, -328, -368?
2*y**2 - 66*y - 4
What is the w'th term of 32, 68, 106, 146, 188, 232, 278?
w**2 + 33*w - 2
What is the x'th term of -100, -82, -38, 44, 176?
2*x**3 + x**2 + x - 104
What is the z'th term of 6, 22, 58, 120, 214, 346, 522, 748?
z**3 + 4*z**2 - 3*z + 4
What is the h'th term of -27, -26, -33, -54, -95?
-h**3 + 2*h**2 + 2*h - 30
What is the b'th term of 60, 121, 182, 243, 304?
61*b - 1
What is the s'th term of -207, -198, -177, -138, -75, 18, 147?
s**3 + 2*s - 210
What is the n'th term of -24324, -24323, -24322, -24321, -24320, -24319?
n - 24325
What is the o'th term of 39, 29, 19, 9, -1, -11?
-10*o + 49
What is the x'th term of 12, 22, 46, 90, 160, 262?
x**3 + x**2 + 10
What is the i'th term of 608, 1202, 1786, 2354, 2900, 3418?
-i**3 + i**2 + 598*i + 10
What is the i'th term of -185, -396, -607, -818, -1029, -1240?
-211*i + 26
What is the i'th term of -58, -120, -184, -250, -318, -388, -460?
-i**2 - 59*i + 2
What is the h'th term of -91, -186, -281, -376, -471?
-95*h + 4
What is the y'th term of -4789, -9579, -14369, -19159, -23949, -28739?
-4790*y + 1
What is the i'th term of -36, -75, -114?
-39*i + 3
What is the b'th term of 362, 359, 356, 353, 350?
-3*b + 365
What is the i'th term of 773, 807, 841, 875?
34*i + 739
What is the a'th term of -763, -737, -699, -643, -563?
a**3 + 19*a - 783
What is the w'th term of 19, 39, 59, 79?
20*w - 1
What is the f'th term of -369, -355, -323, -267, -181, -59?
f**3 + 3*f**2 - 2*f - 371
What is the l'th term of -112, -147, -182?
-35*l - 77
What is the j'th term of 98, 93, 84, 71, 54, 33?
-2*j**2 + j + 99
What is the t'th term of 401, 405, 409, 413?
4*t + 397
What is the h'th term of 9199, 18390, 27579, 36766, 45951?
-h**2 + 9194*h + 6
What is the s'th term of -21, -15, -7, 3, 15, 29, 45?
s**2 + 3*s - 25
What is the p'th term of -106, -451, -1034, -1855, -2914, -4211, -5746?
-119*p**2 + 12*p + 1
What is the t'th term of -200, -193, -186?
7*t - 207
What is the v'th term of 6, -8, -22, -36?
-14*v + 20
What is the u'th term of 41, 212, 505, 926, 1481, 2176, 3017, 4010?
u**3 + 55*u**2 - u - 14
What is the y'th term of 764, 1480, 2196, 2912?
716*y + 48
What is the v'th term of 32, -7, -48, -91, -136, -183, -232?
-v**2 - 36*v + 69
What is the h'th term of -10, -11, -2, 17?
5*h**2 - 16*h + 1
What is the i'th term of 319, 637, 953, 1267?
-i**2 + 321*i - 1
What is the d'th term of 7, 10, 7, -2?
-3*d**2 + 12*d - 2
What is the b'th term of 575, 2279, 5119, 9095?
568*b**2 + 7
What is the z'th term of 292, 295, 298, 301?
3*z + 289
What is the b'th term of 28, 59, 96, 139?
3*b**2 + 22*b + 3
What is the k'th term of -29, -52, -87, -128, -169?
k**3 - 12*k**2 + 6*k - 24
What is the q'th term of -37040, -37045, -37052, -37061, -37072, -37085?
-q**2 - 2*q - 37037
What is the o'th term of -115, -172, -241, -328, -439?
-o**3 - 50*o - 64
What is the i'th term of 259, 251, 229, 187, 119?
-i**3 - i**2 + 2*i + 259
What is the i'th term of 7, 6, 13, 34, 75, 142, 241, 378?
i**3 - 2*i**2 - 2*i + 10
What is the r'th term of 4878, 4880, 4882, 4884, 4886?
2*r + 4876
What is the c'th term of 4, -24, -58, -92, -120?
c**3 - 9*c**2 - 8*c + 20
What is the x'th term of -104, -209, -314, -419, -524, -629?
-105*x + 1
What is the u'th term of -461, -388, -267, -98, 119, 384?
24*u**2 + u - 486
What is the i'th term of -15, -31, -65, -123, -211, -335?
-i**3 - 3*i**2 - 11
What is the j'th term of -12, -57, -136, -255, -420, -637?
-j**3 - 11*j**2 - 5*j + 5
What is the l'th term of -279, -556, -833, -1110, -1387?
-277*l - 2
What is the a'th term of 344, 649, 958, 1271, 1588?
2*a**2 + 299*a + 43
What is the l'th term of 17, 23, 43, 83, 149?
l**3 + l**2 - 4*l + 19
What is the b'th term of -2712, -2720, -2742, -2784, -2852, -2952, -3090?
-b**3 - b**2 + 2*b - 2712
What is the b'th term of 120, 524, 1192, 2118, 3296?
-b**3 + 138*b**2 - 3*b - 14
What is the f'th term of 4209, 4205, 4201, 4197?
-4*f + 4213
What is the j'th term of -23, -40, -49, -44, -19, 32, 115?
j**3 - 2*j**2 - 18*j - 4
What is the p'th term of -483, -472, -453, -426, -391, -348, -297?
4*p**2 - p - 486
What is the n'th term of 118, 119, 120, 121, 122, 123?
n + 117
What is the k'th term of -9, 15, 39?
24*k - 33
What is the f'th term of -259, -260, -261, -262?
-f - 258
What is the q'th term of 1, -8, -41, -110, -227, -404, -653?
-2*q**3 + 5*q - 2
What is the l'th term of -21, -23, -27, -33?
-l**2 + l - 21
What is the x'th term of 89, 385, 881, 1583, 2497, 3629?
x**3 + 94*x**2 + 7*x - 13
What is the q'th term of -27, -133, -327, -621, -1027, -1557?
-2*q**3 - 32*q**2 + 4*q + 3
What is the f'th term of 214, 851, 1912, 3397, 5306, 7639, 10396?
212*f**2 + f + 1
What is the m'th term of -304, -608, -912?
-304*m
What is the b'th term of 936, 944, 954, 966?
b**2 + 5*b + 930
What is the w'th term of -16, 16, 48, 80, 112, 144?
32*w - 48
What is the v'th term of -83, -237, -487, -827, -1251?
v**3 - 54*v**2 + v - 31
What is the k'th term of 1638, 1623, 1590, 1533, 1446, 1323, 1158?
-k**3 - 3*k**2 + k + 1641
What is the a'th term of -243, -473, -703, -933, -1163, -1393?
-230*a - 13
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
384*r + 322494. Determine m(-233).
22
Let j(q) = -q**3 - 2*q**2 - 149*q - 860. Determine j(-6).
178
Let x(h) = -9892*h - 5846162. Give x(-591).
10
Let x(m) = -405*m**2 + 84717*m - 15071. What is x(209)?
-23
Let r(m) = 13*m**2 + 120*m - 974. Determine r(12).
2338
Let b(z) = -4*z**3 - 43*z**2 + 189*z - 120. What is b(3)?
-48
Let d(k) = 2*k**3 + 772*k**2 - 4703*k + 445. What is d(-392)?
53
Let n(g) = 298*g + 8247. Give n(-35).
-2183
Let q(d) = -231*d + 49614. What is q(215)?
-51
Let o(b) = -56*b**2 + 12764*b + 916. Determine o(228).
4
Let w(z) = 398*z + 81728. What is w(-204)?
536
Let u(m) = 1762*m**2 + 902143*m - 522. Give u(-512).
-10
Let n(t) = -7*t**3 + 59*t**2 - 39*t - 265. Determine n(7).
-48
Let v(b) = 7*b**3 - 177*b**2 - 130*b - 76. What is v(26)?
-76
Let b(h) = 4*h**3 - 66*h**2 + 8288*h - 132038. What is b(16)?
58
Let h(q) = 4*q**3 + 643*q**2 + 2969*q + 910. Calculate h(-156).
130
Let x(z) = -6201*z**2 - 24705*z + 395. Calculate x(-4).
-1
Let r(y) = 25*y**2 + 202*y - 16424. Calculate r(-30).
16
Let q(m) = 119*m**3 - 1070*m**2 - 113*m + 1072. Give q(9).
136
Let m(c) = -86*c**3 + 14*c**2 + 1487*c - 1499. Determine m(1).
-84
Let i(w) = w**3 - 37*w**2 + 4804*w - 18679. Give i(4).
9
Let g(v) = 2*v**3 + 231*v**2 - 584*v + 649. What is g(-118)?
-59
Let a(x) = -1041*x + 32243. Calculate a(31).
-28
Let y(i) = -i**3 - 243*i**2 - 926*i + 7199. Determine y(-239).
29
Let i(a) = 103*a**3 - 77*a**2 + 18*a + 19. Calculate i(-1).
-179
Let b(z) = 109*z**3 - 1632*z**2 - 44*z - 27. What is b(15)?
-12
Let v(o) = 21*o**2 + 130890*o + 130888. Determine v(-1).
19
Let c(d) = -72*d**3 - d**2 + 18*d + 44. What is c(-2)?
580
Let f(q) = -q**2 - 117*q + 30239. Give f(125).
-11
Let a(k) = -43*k**2 - 109*k + 886. Determine a(-6).
-8
Let k(h) = 10*h**2 - 1969*h + 11231. Calculate k(191).
-38
Let w(y) = 1769*y + 10537. Determine w(-6).
-77
Let b(t) = -5*t**2 - 2334*t - 265686. Give b(-270).
-6
Let c(i) = -3297*i + 422019. Determine c(128).
3
Let j(f) = 481*f - 548. What is j(1)?
-67
Let p(n) = -n**2 - 16015*n - 1132033. What is p(-71)?
-9
Let n(s) = 2*s**3 - 1071*s**2 + 1533*s + 36987. Calculate n(534).
141
Let h(j) = -2*j**3 - 296*j**2 + 427*j + 19220. Give h(-149).
-1
Let i(c) = 5*c**3 + 67*c**2 + 447*c - 11. What is i(-10)?
-2781
Let g(h) = 37085*h - 73823. What is g(2)?
347
Let n(d) = -d**3 + 207*d**2 - 193*d - 2719. Determine n(206).
-41
Let r(y) = 14*y**2 + 641*y + 5011. Calculate r(-10).
1
Let f(o) = o**3 + 12*o**2 + 6*o + 31. Give f(-11).
86
Let y(j) = -2*j**2 - 210*j + 2935. Determine y(13).
-133
Let a(w) = 2059*w + 179129. What is a(-87)?
-4
Let j(k) = -2844*k - 36977. Calculate j(-13).
-5
Let y(a) = 3454*a + 8497. Determine y(-3).
-1865
Let j(l) = 4*l**3 + 172*l**2 - 11*l - 487. Calculate j(-43).
-14
Let i(f) = -21*f**2 + 3043*f + 286. Determine i(145).
-4
Let g(z) = -z**3 - 35*z**2 + 1658*z - 84. What is g(27)?
-516
Let a(l) = 49130*l + 540387. Calculate a(-11).
-43
Let f(s) = 9064*s + 99719. Give f(-11).
15
Let d(u) = -1759168*u + 59811716. Give d(34).
4
Let p(v) = -130*v**2 + 33*v - 128. Calculate p(4).
-2076
Let g(h) = -2*h**3 + 105*h**2 + 47*h - 29667. Determine g(46).
3
Let p(g) = -121*g + 2641. Calculate p(54).
-3893
Let z(a) = 526*a + 15547. Determine z(-30).
-233
Let c(l) = -5011*l - 325719. What is c(-65)?
-4
Let g(q) = -2*q**3 - 192*q**2 - 219*q - 3023. Determine g(-95).
-268
Let i(u) = -2*u**3 + 1030*u**2 + 19211*u - 12277. Determine i(533).
-18
Let q(d) = -2*d**3 + 23*d**2 + 841*d - 9375. Give q(11).
-3
Let m(g) = g**3 - 395*g**2 + 1929*g + 142. Calculate m(5).
37
Let i(j) = -15*j**3 + 269*j**2 + 85*j - 1152. Give i(18).
54
Let w(b) = -b**3 + 5*b**2 + 16*b - 63. Give w(6).
-3
Let i(c) = c**3 - 2*c**2 + 121860*c - 853269. What is i(7)?
-4
Let t(q) = q**3 + 109*q**2 - 12*q + 260. Determine t(0).
260
Let t(u) = -24*u**3 - 8807*u**2 + 364*u - 774. What is t(-367)?
327
Let v(k) = -2*k**2 - 175*k - 2017. Give v(-72).
215
Let m(f) = 24*f**3 + 332*f**2 + 216*f + 17. Calculate m(-13).
589
Let j(h) = 9*h**3 + 3*h**2 + 1908*h - 1910. Determine j(1).
10
Let l(i) = i**3 - 656*i - 40. What is l(26)?
480
Let n(a) = a**2 + 125*a - 11377. Calculate n(61).
-31
Let z(h) = -48*h**2 + 681*h + 683. What is z(15)?
98
Let q(b) = b**3 + 27*b**2 - 546*b + 1394. What is q(-41)?
246
Let u(i) = -33218*i**2 - 265740*i + 26. Give u(-8).
-6
Let k(x) = 2*x**3 + 65*x**2 + 130*x + 2939. What is k(-29)?
5056
Let c(x) = -4*x**3 - 47*x**2 + 10*x - 720. Calculate c(-13).
-5
Let z(b) = 21*b - 1083. Determine z(-31).
-1734
Let f(p) = p**3 - 44*p**2 + 163*p + 1298. Determine f(39).
50
Let r(x) = -3*x**3 + 8*x**2 + 1436*x - 4299. Give r(3).
0
Let o(y) = 398*y + 76086. What is o(-191)?
68
Let u(v) = 3*v**3 + 978*v**2 + 1968*v + 7774. Determine u(-324).
-2
Let p(w) = 7*w**3 - 67*w**2 - 3*w - 117. Give p(10).
153
Let y(v) = -142*v + 2817. What is y(20)?
-23
Let q(d) = -d**2 - 2148*d + 45562. Calculate q(21).
13
Let v(t) = -2*t**3 - 31*t**2 - 53*t - 299. What is v(-9)?
-875
Let y(x) = -4532*x + 126885. Calculate y(28).
-11
Let b(v) = 4*v**3 - 242*v**2 + 5573*v - 347386. What is b(61)?
9
Let n(u) = -2299*u**2 - 29892*u - 194. What is n(-13)?
-129
Let v(h) = -h**2 + 939*h + 81503. What is v(-80)?
-17
Let l(k) = 9*k**3 - 640*k**2 - 4136*k + 171. Calculate l(-6).
3
Let s(n) = 2695*n + 5717. Give s(-2).
327
Let v(g) = -383*g - 102378. Determine v(-267).
-117
Let h(s) = -2*s**2 + 722*s + 24311. Determine h(392).
7
Let k(v) = -283*v + 10986. What is k(39)?
-51
Let d(u) = u**2 + 16896*u + 135114. Calculate d(-8).
10
Let p(c) = 104*c - 15260. Determine p(143).
-388
Let m(h) = 9968*h - 2222866. Calculate m(223).
-2
Let g(u) = 68*u**2 + 49*u - 182. Determine g(-2).
-8
Let s(l) = 24*l**2 + 65*l + 98. Give s(1).
187
Let z(k) = 11*k**3 - 25*k**2 - 534*k + 115. Give z(-6).
43
Let l(y) = -2*y**3 + 593*y**2 + 178150*y - 927. Give l(-185).
-2
Let k(j) = j**3 - 43*j**2 - 157*j + 9657. What is k(41)?
-142
Let a(f) = 3*f**2 + 293*f + 2614. Calculate a(-86).
-396
Let u(d) = 10967*d - 372852. Determine u(34).
26
Let r(h) = 6307*h + 132467. What is r(-21)?
20
Let y(d) = d**3 - 987*d**2 + 2586*d + 360140. Determine y(984).
-4
Let r(a) = -4*a**3 - 86*a**2 - 253*a + 59. Calculate r(-18).
77
Let y(n) = -28*n**2 + 383*n - 572. What is y(12)?
-8
Let x(m) = 2314408*m - 6943218. Determine x(3).
6
Let f(i) = 19*i - 1287. Determine f(81).
252
Let a(x) = -3*x**2 + 98*x - 620. What is a(7)?
-81
Let b(s) = -4*s**3 - 80*s**2 + 168*s + 1760. Determine b(-21).
-4
Let g(j) = -37081*j + 28552376. Determine g(770).
6
Let t(p) = -110086*p + 131442688. Give t(1194).
4
Let t(o) = 272*o + 5220. Determine t(-19).
52
Let m(j) = 67890*j - 407351. Determine m(6).
-11
Let h(y) = 783857*y - 1567710. What is h(2)?
4
Let o(i) = -6397*i - 2379710. What is o(-372)?
-26
Let j(h) = 46*h**2 + 1256*h + 5023. Determine j(-4).
735
Let h(s) = 2151*s + 15402. Determine h(-7).
345
Let r(l) = -52*l**2 - 2844*l + 13059. Determine r(-59).
-157
Let q(j) = j**3 - 152*j**2 - 1797*j - 1108. Calculate q(163).
-1760
Let u(n) = n**3 + 37*n**2 - 190*n - 6950. Give u(-37).
80
Let b(y) = -3*y**3 - 352*y**2 - 798*y + 884. Give b(-115).
79
Let q(m) = 70*m**2 + 3256*m - 4972. Calculate q(-48).
20
Let u(f) = -3*f**2 + 660*f - 4504. Give u(213).
-31
Let k(d) = -4*d**2 - 78556*d + 392883. What is k(5)?
3
Let y(s) = 3*s**2 - 9*s - 1634. Give y(-27).
796
Let l(c) = c**2 - 262*c - 13910. Give l(307).
-95
Let y(l) = -l**3 - 104*l**2 - 31*l - 3391. Calculate y(-104).
-167
Let q(n) = -283*n - 18014. Give q(-69).
1513
Let w(n) = n**3 + 9*n**2 + 408*n + 3590. Calculate w(-9).
-82
Let f(u) = -133*u**3 + 2*u**2 - 9*u + 2. Give f(2).
-1072
Let o(w) = -198184*w + 11891035. What is o(60)?
-5
Let h(p) = -1132*p + 42368. Calculate h(37).
484
Let s(g) = 5*g**3 + 191*g**2 + 622*g - 3125. Give s(-34).
3
Let x(h) = -1504*h**3 - 7*h**2 + 116*h + 123. Give x(-1).
1504
Let p(g) = 5451*g - 141489. Give p(26).
237
Let u(t) = 131*t**2 - 63*t - 5. Determine u(2).
393
Let v(y) = -y**2 + 198*y + 19307. Determine v(-67).
1552
Let q(p) = -p**3 - 52*p**2 + 41*p + 33. Give q(-52).
-2099
Let k(r) = r**2 - 141*r - 22095. Calculate k(235).
-5
Let g(d) = 2596*d - 506600. Calculate g(195).
-380
Let c(p) = p**2 - 16004*p + 383481. Give c(24).
-39
Let a(i) = -i**3 + 10*i**2 + 9961*i + 1475. Determine a(105).
5
|
{
"pile_set_name": "DM Mathematics"
}
|
8*w**2. Let h(y) be the first derivative of x(y). Factor h(a).
2*a**2*(a - 1)*(4*a + 1)**2/11
Let z be (-4)/(-26) + (-124740)/(-10192). Let w = -49/4 + z. Factor -1/7*s + 2/7*s**3 + 0*s**2 + 0 - w*s**5 + 0*s**4.
-s*(s - 1)**2*(s + 1)**2/7
Let v(g) be the first derivative of g**3/3 + 30*g**2 - 347. Solve v(c) = 0.
-60, 0
Let o(a) be the second derivative of -a**7/6300 + a**6/900 - 7*a**4/12 - 11*a. Let c(j) be the third derivative of o(j). Find y such that c(y) = 0.
0, 2
Let -63/2*y**2 - 30*y**3 - 9/2*y**4 + 36*y + 30 = 0. Calculate y.
-5, -2, -2/3, 1
Let a(d) = -5*d**5 + 9*d**4 + 4*d**3 - 8*d - 4. Let n(p) = -5*p**5 + 10*p**4 + 5*p**3 - 10*p - 5. Let j(x) = 5*a(x) - 4*n(x). Factor j(k).
-5*k**4*(k - 1)
Suppose 28 = 5*m - 12. What is k in -17*k**3 + m + 16*k**2 - 20*k + 27*k**3 - 14*k**3 = 0?
1, 2
Factor -4*i - 2 - 2*i**3 + 137*i**2 + 4*i + 2*i - 135*i**2.
-2*(i - 1)**2*(i + 1)
Suppose 4*y - 31 = 3*n, 0*y - 3*n - 7 = 2*y. Factor -8*h**2 - 3*h**4 + 12*h**3 - 3*h**4 - 2*h**y + 4*h**4.
-4*h**2*(h - 2)*(h - 1)
Let o(b) be the third derivative of 2*b**7/105 + 2*b**6/15 + b**5/5 - 2*b**4/3 - 8*b**3/3 + 2*b**2 + 7*b. Factor o(n).
4*(n - 1)*(n + 1)*(n + 2)**2
Let f(i) be the first derivative of 2*i**5/35 - i**4/14 - 2*i**3/3 + 13*i**2/7 - 12*i/7 - 120. Find r, given that f(r) = 0.
-3, 1, 2
Let z(o) = 4*o**4 - 29*o**3 + 65*o**2 - 59*o + 20. Let c(a) = a**4 - a**3 - a. Let s = 30 - 31. Let g(d) = s*z(d) - c(d). Factor g(v).
-5*(v - 2)**2*(v - 1)**2
Let r(y) be the third derivative of -2*y**7/105 + 7*y**6/30 + 12*y**5/5 - 26*y**4/3 - 160*y**3/3 + 600*y**2. Suppose r(b) = 0. What is b?
-4, -1, 2, 10
Let o(g) = 2*g**4 + g**3 + g**2 - 4*g + 3. Let u(y) = y**4 - y + 1. Suppose -3*w = x - 0*x - 12, x = 4*w - 23. Let z(t) = x*u(t) + o(t). Factor z(s).
-s*(s - 1)**2*(s + 1)
Let h(s) be the first derivative of s**6/2880 - s**5/80 + 3*s**4/16 + s**3/3 + 20. Let q(j) be the third derivative of h(j). Solve q(g) = 0 for g.
6
Suppose 4*p - z - 149 = 0, 3*z = -2*p + 2*z + 67. Find o such that -55*o**2 - p*o**3 - 144*o + 4*o**4 + 134*o**2 - 16*o**3 + 113*o**2 = 0.
0, 1, 6
Solve 0 + 1/8*q**5 + 9/4*q - 3/8*q**2 - 19/8*q**3 + 3/8*q**4 = 0.
-6, -1, 0, 1, 3
Suppose 5302*x = 5295*x + 42. Let t(h) be the third derivative of 0*h**5 - x*h**2 + 1/160*h**6 + 0*h + 0*h**4 + 0*h**3 + 0 + 1/560*h**7. Factor t(o).
3*o**3*(o + 2)/8
Let n(f) = f**2 + 20*f + 34. Let q be n(-19). Factor 3*u**2 - q*u - 10 - 6*u**2 - 2.
-3*(u + 1)*(u + 4)
Let b = -4901/54 - -545/6. Let s(w) be the first derivative of 2/9*w**2 + 1 - b*w**3 + 0*w. Let s(m) = 0. Calculate m.
0, 2
Let k(q) be the third derivative of q**8/84 + 6*q**7/35 + 7*q**6/30 - 3*q**5/5 - 4*q**4/3 - 5*q**2 + 5. Factor k(o).
4*o*(o - 1)*(o + 1)**2*(o + 8)
Let n(b) be the first derivative of b**5/5 + 3*b**4/4 - 4*b**3/3 - 6*b**2 + 188. Suppose n(t) = 0. What is t?
-3, -2, 0, 2
Find s, given that 2/3*s**3 + 0 + 6144*s + 128*s**2 = 0.
-96, 0
Let z be -4*2/16*-4. Let k(i) be the first derivative of -2*i + z - 2/27*i**3 - 2/3*i**2. Factor k(w).
-2*(w + 3)**2/9
Let w(c) be the first derivative of 4 + 4/13*c**2 + 0*c - 2/39*c**3. Factor w(y).
-2*y*(y - 4)/13
Suppose i - 4*i + 5*k = -5, 1 = 3*i - k. Let a(f) be the third derivative of 0 + 0*f**3 - 3*f**2 - 1/15*f**6 + i*f + 1/12*f**4 + 1/10*f**5. Factor a(v).
-2*v*(v - 1)*(4*v + 1)
Determine y so that -191*y**2 - 21*y**4 - 62 - 169 - 211*y**2 - 1428*y - 54 + 645*y**3 - 75 = 0.
-1, -2/7, 2, 30
Let i(c) be the second derivative of -49*c**6/60 - 119*c**5/20 - 373*c**4/24 - 17*c**3 - 9*c**2 + 185*c. Determine x so that i(x) = 0.
-2, -3/7
Let g(t) be the first derivative of -2/3*t**3 - 2*t**2 + 0*t - 1/16*t**4 + 7. Factor g(s).
-s*(s + 4)**2/4
Let r(a) be the first derivative of 115*a**3/3 - 105*a**2/2 - 10*a + 14. Factor r(t).
5*(t - 1)*(23*t + 2)
Let p(x) be the third derivative of 1/40*x**6 + 0*x**3 + 1/70*x**7 + 0*x**4 + 0 + 0*x**5 + 0*x + 10*x**2. Factor p(n).
3*n**3*(n + 1)
Let v(h) = 2*h**5 + 7*h**4 + 3*h**2 + 3*h - 3. Let p(q) = -14*q**5 - 50*q**4 - 22*q**2 - 22*q + 22. Let b(d) = 6*p(d) + 44*v(d). Factor b(u).
4*u**4*(u + 2)
Let y = 69 - 64. Let u(i) be the second derivative of 3/2*i**4 - 2*i**2 + 1/3*i**6 - y*i + 1/3*i**3 - 13/10*i**5 + 0. Suppose u(p) = 0. Calculate p.
-2/5, 1
Let f(v) = -7*v**2 - 82*v - 127. Suppose -2*t - 2*t - d = -21, 3*d = 4*t - 17. Let y(b) = 5*b**2 + 55*b + 85. Let z(j) = t*f(j) + 8*y(j). Factor z(k).
5*(k + 3)**2
Let p = 231/5 + -4846/105. Let f(x) be the third derivative of 1/84*x**4 + 0 + p*x**3 - 1/210*x**5 - 1/420*x**6 + 4*x**2 + 0*x. Factor f(l).
-2*(l - 1)*(l + 1)**2/7
Suppose 0 = 6*c - 332 + 44. Let x = -28 + c. Determine n, given that -3*n**2 - 6*n - 30*n - 32 - x*n - 9*n**2 = 0.
-4, -2/3
Let s(u) = u**3 - 5*u**2 - 4*u - 9. Let y be s(6). Let x be -32*y*5/(-510). Find w, given that 0 + 2/17*w**4 + x*w**2 - 10/17*w**3 - 8/17*w = 0.
0, 1, 2
Let i(h) be the first derivative of -5*h**4/4 + 10*h**3/3 + 45*h**2/2 - 90*h + 41. Factor i(q).
-5*(q - 3)*(q - 2)*(q + 3)
Let i(o) be the third derivative of o**7/1155 - 7*o**6/660 - 13*o**5/110 - 53*o**4/132 - 2*o**3/3 - 6*o**2 + o. Suppose i(u) = 0. What is u?
-2, -1, 11
Let n(o) be the first derivative of 13*o**3/3 - 11*o**2/2 + 3*o - 23. Let r(p) = -6*p**2 + 6*p - 2. Let u(c) = 2*n(c) + 5*r(c). Solve u(v) = 0 for v.
1
Let l(r) be the second derivative of 0 + 5/12*r**4 + 7*r - 15/2*r**3 - 25*r**2. Suppose l(q) = 0. What is q?
-1, 10
Let i(h) be the second derivative of h**6/630 + h**5/21 + 25*h**4/42 + 10*h**3/3 - 16*h. Let b(r) be the second derivative of i(r). Find u, given that b(u) = 0.
-5
Let c(z) be the third derivative of -z**8/168 + 2*z**7/105 + 2*z**6/15 + z**5/15 - 7*z**4/12 - 4*z**3/3 - 3*z**2 - 29. Determine g so that c(g) = 0.
-1, 1, 4
Let v = -259 + 261. Let l(j) be the first derivative of 0*j**3 - 1/3*j**4 + 0*j**v + 0*j + 2/15*j**5 + 8 + 1/9*j**6. Factor l(n).
2*n**3*(n - 1)*(n + 2)/3
Suppose -6 = 4*b - 2*i, 34*i - 9 = 31*i. Let g(q) be the third derivative of b*q**3 + 0 + 1/8*q**4 + 0*q - 6*q**2 - 1/40*q**5. Factor g(d).
-3*d*(d - 2)/2
Let a(x) be the third derivative of x**5/15 + 5*x**3/6 + x**2. Let r(y) = 3*y**2 + y + 4. Suppose 26 = 5*j + 6. Let c(u) = j*a(u) - 6*r(u). Factor c(v).
-2*(v + 1)*(v + 2)
Let k(j) = -j**3 + j**2 - 2*j - 1. Let x(m) = 6*m**3 + 150*m**2 + 153*m + 39. Let h(l) = -10*k(l) - 5*x(l). Factor h(a).
-5*(a + 37)*(2*a + 1)**2
Factor -8/3*c + 5*c**2 - 1 - 4/3*c**3.
-(c - 3)*(c - 1)*(4*c + 1)/3
Suppose 0 = -43*t + 66*t - 69. Let p(z) be the first derivative of 5 + 0*z + 1/11*z**2 - 4/33*z**t + 1/22*z**4. Factor p(g).
2*g*(g - 1)**2/11
Let x(u) be the third derivative of -u**7/840 + 7*u**6/360 - u**5/20 + 5*u**3/3 - 6*u**2. Let m(t) be the first derivative of x(t). Factor m(a).
-a*(a - 6)*(a - 1)
Let r(o) be the third derivative of o**7/105 - 3*o**6/40 + 11*o**5/60 - 2*o**3/3 + 58*o**2. Determine t so that r(t) = 0.
-1/2, 1, 2
Let y(s) be the first derivative of 2*s**5/5 + 5*s**4/2 - 14*s**3/3 - 5*s**2 + 12*s - 32. Determine i so that y(i) = 0.
-6, -1, 1
Let b(l) be the first derivative of 1/5*l**3 + 3/5*l + 3/5*l**2 - 11. Solve b(r) = 0 for r.
-1
Let k be 11690/(-1503)*(-12)/14. Determine j, given that -k*j + 5/3*j**2 + 5 = 0.
1, 3
Let g = 516 - 512. Factor -7/2*i**3 - 1 + 7/2*i - 3/2*i**2 + 5/2*i**g.
(i - 1)**2*(i + 1)*(5*i - 2)/2
Let g = 744/7 - 3664/35. Find w such that 32/5*w + 12/5*w**2 - g*w**3 + 16/5 - 4/5*w**4 = 0.
-2, -1, 2
Let t(g) = -g**3 - g**2 + g - 1. Let q(l) = -2*l**3 - 9*l**2 + 3*l - 3. Let d(h) = 2*q(h) - 6*t(h). Suppose d(w) = 0. What is w?
0, 6
Let d be -2 - -6*8/12. Factor 4*v**3 + 2*v**2 + v**2 + 2*v**4 - 4*v**d - 3*v**3.
v**2*(v + 1)*(2*v - 1)
Let y(u) be the first derivative of 2*u**3/15 - 3*u**2 + 52*u/5 + 115. Factor y(m).
2*(m - 13)*(m - 2)/5
Suppose -g - 23 = 5*o, 0*g + g = 2*o + 12. Factor 2*l**2 - 5*l**2 + 1 + l**g + 1.
-2*(l - 1)*(l + 1)
Let z = 347/102 + -55/17. Let s(c) be the second derivative of -1/4*c**3 - 1/6*c**4 + 0 - 1/24*c**5 - z*c**2 + 5*c. Factor s(v).
-(v + 1)**2*(5*v + 2)/6
Determine c, given that -72900/7 - 4/7*c**2 + 1080/7*c = 0.
135
Let u(t) be the first derivative of t**6/810 + 4*t**5/135 + 8*t**4/27 + 13*t**3/3 + 1. Let b(z) be the third derivative of u(z). Suppose b(h) = 0. Calculate h.
-4
Let l(f) be the first derivative of -25
|
{
"pile_set_name": "DM Mathematics"
}
|
= q*l - 4 for l.
2
Suppose 14 = 3*m - d, -3*d - 3 = 3. Let w(k) = k. Let l(q) = q - 6. Let v(n) = l(n) + w(n). Let h be v(m). Solve -g + 1 = -h for g.
3
Let n(x) = x**3 + 10*x**2 - x - 10. Let h be n(-10). Suppose 0 = -h*o + 3*o. Solve o*k = 3*k for k.
0
Let y(a) = a**2 + 3*a - 7. Let d be y(-5). Suppose d*z + 11 = b, 41 = -2*b - 2*b - 5*z. Let j be 6*(6/b - -2). Solve -18 + j = 3*q for q.
-5
Let q(f) = 7*f. Let l(y) = -6*y. Let d(o) = -5*l(o) - 4*q(o). Let m be d(1). Solve m*u + 20 = -2*u for u.
-5
Let n = 2 + -2. Suppose n = 4*a - 8*a. Solve a = -6*v + v for v.
0
Let h be -3 + 11 + (-4)/(-2). Solve h*v - 15 = 7*v for v.
5
Suppose -4*b + x - 5*x + 24 = 0, b = -5*x - 2. Let z = b + -13. Let n = 3 - z. Solve -m + n = m for m.
4
Let g(i) = -4*i + 38. Let f be g(7). Let p = 12 + -8. Solve -p*w + f - 2 = 0 for w.
2
Let p(c) = -c**3 + 4*c**2 - 2*c + 2. Let d be p(3). Solve i = -0*i + d for i.
5
Let r(f) = -1. Let t(n) = -n + 8. Suppose y - 5*j = 21, -2*y - 4*j = -3 + 17. Let x(m) = y*t(m) + 2*r(m). Let z be x(6). Solve 5*q + 11 - 26 = z for q.
3
Let n be (-250)/20*8/10. Let s(l) = l**2 + 9*l - 8. Let r be s(n). Solve 0 = r*u + 2 for u.
-1
Suppose 0 = -29*m + 25*m + 12. Solve 2 = m*u - u for u.
1
Let n(s) = -7 - 2*s - 5*s**3 + 4*s**3 + 6*s - 2*s + 5*s**2. Let q be n(5). Suppose 6 = q*t - 3. Solve o = t*o for o.
0
Let c be (3 + -4 - 0)*-5. Suppose 3*y = -5*q + 26, -5*y - c*q = -10 - 20. Solve -y*n + 0 = -4 for n.
2
Let s be 261/(-18) - (-3)/(-2). Let l = s - -16. Solve l*u + 1 = -u for u.
-1
Let w = 11 + 7. Let c(o) = o**2 - 4*o - 8. Let i be c(6). Suppose -8 - i = -4*b. Solve -b*g + w = 3 for g.
5
Let j(k) be the second derivative of k**3/6 - k**2 - k. Let r be j(6). Solve 10 = r*n + 2 for n.
2
Let m = 18 - 7. Suppose -3*h - 2*r = -11, 0*r - r = -4*h + m. Suppose h*l + 0 - 18 = 0. Solve -w = -l*w for w.
0
Let u(d) = d**2 + 5*d. Let o be u(-6). Let f = -5 + o. Suppose -2*p - 6 = -0*p + 2*y, 0 = 3*p - 2*y - 16. Solve -g = -f - p for g.
3
Let d = -21 + 23. Solve -d*m + 10 = 2 for m.
4
Let y be 5/(-2)*8/(-5). Let r be (-10 + y)/((-3)/2). Solve -5*u = -24 + r for u.
4
Let a(v) = -v**3 + 6*v**2 - 4*v - 5. Let g be a(5). Suppose i + c - 2 = g, 14 = 4*i - c + 1. Solve -h + 4 = -i*h for h.
-2
Suppose 4*u - 11 = 405. Let t be (1/(-4))/((-13)/u). Solve -m + 2 + t = 0 for m.
4
Suppose 2*y + 26 = 4*y. Solve 4 = -3*g + y for g.
3
Suppose -46 = -5*q - 4*u, 0 = -q + 2*u - 3*u + 10. Let y = 10 - q. Solve y*m - 12 = -0*m for m.
3
Suppose -2*u + 3 = -5. Let q(k) = -k**2 + 14*k + 3*k**3 - 4*k**3 - 12*k. Let w be q(-2). Solve w*h + u*h = -16 for h.
-4
Suppose -6*f - 2 = -7*f. Solve -f*g = -7*g for g.
0
Suppose -56 = -x - x. Solve 0 = 5*s + 8 - x for s.
4
Let d(w) = -11*w + 68. Let c be d(6). Solve -a = c*a for a.
0
Suppose -5*a - 13 + 103 = 0. Let f = 25 - a. Solve -4*x - f = -27 for x.
5
Suppose 12 = 3*v - 5*w + 3, 5*v + 3*w - 15 = 0. Let h = 6 - v. Solve 0*o = -h*o for o.
0
Let x(n) = -n**3 - 4*n**2 - n + 5. Let m be x(-4). Solve -3*o = -6 - m for o.
5
Let b be (4/(-6))/(4/(-18)). Suppose l + 0*l - 4 = 0. Suppose 0 = -d + l. Solve -b*w + w = -d for w.
2
Let w(g) = g**2 - 8*g + 12. Let s be w(8). Suppose 3*y + c = 2*c, -4*c = -s. Let q(a) = 3*a**3 - a**2 + a. Let b be q(y). Solve b*i - 4*i = 1 for i.
-1
Let l be 3*7/(84/16). Solve -y - l*y = 25 for y.
-5
Let w(i) = -6*i + 4. Let y be w(-2). Solve 1 = 5*f + y for f.
-3
Let o(c) = -c**2 - 2*c - 1. Let y be o(-5). Suppose 6*n - n + 140 = 0. Let g = y - n. Solve 2*r - g = -2*r for r.
3
Let x(z) = -3*z + 17. Let a be x(5). Solve 2*g + a = -4 for g.
-3
Let w be (-2 - -2)*2/(-4). Suppose 0 = -w*t - 5*t. Solve t = -c - 1 - 1 for c.
-2
Let x(z) = z**3 - 6*z**2 + 5. Let c be x(6). Let u(o) = -o**3 + 5*o**2. Let f be 2 + 2 + (3 - 2). Let a be u(f). Solve c*g - 16 - 9 = a for g.
5
Suppose -3*o - 25 = 2*o. Let m(r) be the third derivative of -r**4/24 + r**2. Let x be m(o). Solve -x*f = -2*f for f.
0
Let u = -11 - -14. Let l = u + 3. Solve -4*b + l = -b for b.
2
Let t(d) = -d**2 - 7*d + 3. Let j be t(-7). Let p = 10 + -8. Solve -p*q - j = -9 for q.
3
Suppose -5*h = -3*z - 38, 5*z = 2*z + 12. Suppose 3*p = -2*p + h. Solve 6*u = p*u + 20 for u.
5
Let r be (-2 - (-2 - 0)) + 2. Suppose 0 = r*p + 2*p. Let w be 0 + 6 - (1 + p). Solve 4 = -w*q - 16 for q.
-4
Suppose 7*x = 1 + 20. Solve 0 = 5*t - x*t for t.
0
Let o be 2/6 + 46/6. Solve o = 3*h + h for h.
2
Suppose -5*y = -4*y + 8. Let v be 2/y*(4 - 8). Solve -2*k + 3 = -v for k.
2
Suppose -24 = k + 3*u, -52 = 5*k + 2*u - 4*u. Let w be (4/k)/((-3)/27). Solve w*p + 11 = -4 for p.
-5
Let q = 0 + 8. Let n be -2 - -16 - (-1 - -3). Solve n = -5*r - q for r.
-4
Let c(h) = -h**3 - 2*h**2 + 1. Let x be c(-1). Let n = -7 - -9. Suppose 2*d + 2*i - 16 = -2*i, -13 = -2*d - i. Solve x = -n*o - d - 0 for o.
-3
Suppose 3*r + 7 = 28. Let k = -3 + r. Solve 2*g + 6 + k = 0 for g.
-5
Let b(o) = o**2 - 4. Let n be b(-3). Suppose 30 = 5*g - 0*y - 2*y, 7 = -2*g - 3*y. Suppose -g = -n*x + x. Solve 0 = -2*k + k + x for k.
1
Let z = 26 + -22. Solve z*c = -22 + 6 for c.
-4
Let f be (-85)/(-25) - 6/(-10). Suppose 3*g = 2*y - 4, -g - 2*y + f = -8. Solve -2 = -g*i + 4*i for i.
-1
Suppose -6 = 2*y, -z - 15 = z + 5*y. Let k be z - (-1 - -1 - 3). Solve 0 = 6*n - 3*n + k for n.
-1
Suppose -5 = -6*n + 5*n. Suppose 3*z = -3*q - 3, -3*q + 8*q - n = -3*z. Suppose -a + q = -1. Solve a*d + 0*d + 20 = 0 for d.
-4
Let b = 28 + -23. Solve b*n - n + 20 = 0 for n.
-5
Suppose -2 - 5 = j + 5*u, 0 = 3*j - 5*u - 59. Let k be 4/2 + (-3 - -2). Suppose -z + 4*g - j = -6*z, 2*g - k = 3*z. Solve -z - 1 = 2*m for m.
-1
Let s = 12 + -9. Suppose -2*f = s*f. Suppose f = 4*i - 2*a - 12, a + 6 + 6 = 4*i. Solve i = -g - 0*g for g.
-3
Suppose 3*p = 12*p - 180. Solve -6*s = -s - p for s.
4
Suppose -l = 2*d - 6*d - 16, 5*d + 20 = -4*l. Solve 12*u - 8*u = l for u.
0
Let d(n) = n**2 - 6*n - 4. Let a(q) = q**3 + 7*q**2 + 8*q + 6. Let l be a(-6). Let o = 13 + l. Let z be d(o). Solve 0 = z*s - 4*s + 3 for s.
3
Suppose 3*x - 12 = -0. Suppose x*w - 21 = -5*v, -6*w + 4*v + 8 = -3*w. Suppose -4 = 4*o - 4*l, -3*o - 9 = -4*o - 4*l. Solve w*i + o = 5*i for i.
1
Let x be 0 + (0 - (5 + -2)). Let y be (3 - 1) + -2 + x. Let u be -4*(27/12 + y). Solve 0 = -g - u - 1 for g.
-4
Let t be ((-6)/4)/(9/(-12)). Suppose 0 = -4*m - 4 + 12, 3*u = t*m - 1. Let h = 2 + u. Solve -1 = -h*l + 8 for l.
3
Let a(z) = z**3 + 3*z**2 - 5*z - 1. Suppose -12 = 2*c + c. Let p be a(c). Solve -p*i = -0 - 9 for i.
3
Let h = 94 - 84. Suppose k = -4*k + 10. Solve h = 3*r - k for r.
4
Let q(k) = -k**3 + 5*k**2 + 8*k - 6. Let l = 8 - 2. Let p be q(l). Solve -w - p = 2*w for w.
-2
Suppose 2*g + 3 - 11 = 0. Let t = -5 + g. Let j be (-1 - 2) + 6 - t. Solve 0 = j*k - 4 + 12 for k.
-2
Suppose -z - 2*z = -63. Suppose -5*m + 4*g = -29, 0*m = 4*m - g - z. Solve 0 = -0*d - m*d for d.
0
Suppose -3*j - 3*w = 33, 0 = -3*j + w + 2*w - 45. Let x = 19 + j. Suppose 2*o - x = -o. Solve -o*p + p - 3 = 0 for p.
-3
Let c be (3/(-2))/(-1 + (-8)/(-16)). Solve c*h = -0*h for h.
0
Let v(x) = -x**3 - x**2 + 3*x + 4. Let u be v(-3). Let n = -3 + u. Suppose -d + 4*d - w - 14 = 0, -3*w = -5*d + 30. Solve d*f = 5*f - n for f.
5
Let r(m) = -m + 11. Let d be r(8). Suppose 0 = -z - 3*j + d - 0, z - 3 = -j. Solve -z*w - w = 0 for w.
0
Let j(h) = -h. Let z be j(-1). Suppose -4*b + 8 = -4*s, b - 1 - z = -2*s. Solve s - 12 = 4*n for n.
-3
Suppose -5*l + 56 = 4*a - l, -4*a - 2*l = -52. Let r be (-3)/a + 1/4. Solve -2*n + 2 = -r for n.
1
Suppose g = -4 + 6. Suppose 318 = 5*k - s, 72 = k + 6*s - g*s. Suppose -4*p + k + 0 = 0. Solve -2*n - p = 2*n for n.
-4
Let b be (-8)/(-32) + 54/8. Let x = b - 2. Suppose -2*d - 6 = r, r - 6*r + 2*d = -30. Solve -x*y + r = -3*y for y.
2
Suppose 5*n - 48 = -5*i + 12, -5*i - 6 = -n. Solve 3*z = -2 + n for z.
3
Let s(m) be the first derivative of -m**4/4 + 2*m**3 - 3*m**2 + 7*m - 1. Let o be s(5). Solve -2 = o*d - 8 for d.
3
Suppose 0 = 5*t - 6*t. Suppose 0 = -2*o - t*o + 8. Let q = 5 - 3. Solve 0 = -o*g + 6 - q for g.
1
Let b(a) = -a**2 - 9*a - 8. Let i be (-2)/(-3*3/(-36)). Let m be b(i). Solve -2*o = 2 - m for o.
-1
Suppose 3*k - 12 = -k. Solve 0 = k*c + 11 - 5 for c.
-2
Suppose 3 + 2 = n. Suppose 0*d - 4*b = -d - 40, 0 = -2*b + 4. Let q be d/(-14) + 2/(-7). Solve n*s + 3 = -q for s.
-1
Let q = -2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
t z be f(17). What is the nearest to 0.1 in 2, z, 2/7, 0.201?
z
Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2/11
c
Let z = 9.32 - 9.3. Which is the closest to 0.1? (a) 5 (b) z (c) 2/7 (d) 1
b
Let x = -1/203 + -199/812. Which is the nearest to x? (a) -4 (b) 1 (c) -0.5
c
Let g = 0.69 + -5.69. Let q be (-2)/(-4)*12/(-14). Which is the closest to 21? (a) -0.2 (b) q (c) g
a
Let h be 7/((-1470)/222) + (-12)/(-14). Let j = -0.4 + 0. Which is the nearest to -1/2? (a) -5 (b) h (c) j
c
Let o = 48 - 47. Let n = 2.97 + 0.03. Which is the nearest to 1? (a) -2 (b) o (c) n
b
Let y = -1.3 - 0.7. Let k = 2 - y. Let z = -0.1 - -1.1. What is the nearest to z in -0.5, 0.5, k?
0.5
Let l = 10.6 + -28.4. Let s = l + 12.8. What is the nearest to -0.1 in -4, -4/15, s?
-4/15
Let w be ((-55)/(-100) + 2/10)/1. What is the closest to 1 in -0.4, 16, w?
w
Let v be (-14)/6 + 21/63. Let n be 26/12 - ((0 - -5) + v). Which is the closest to n? (a) 3/5 (b) 2 (c) 0.2
c
Let l = -0.74 - -0.54. Which is the closest to 4? (a) l (b) 4/7 (c) 5
c
Let w = -20/3 + 22/3. Let u = 29.5 + -44. Let r = u - -15. Which is the closest to w? (a) 0 (b) r (c) 2/3
c
Let l = 39 - 38. Let k be l - (-2 + (-52)/40*-2). Which is the nearest to 2? (a) 4 (b) -5 (c) k
c
Let h be 3/2 + 15/10. Let i(t) = -5*t**2 - 3*t**2 - t**h - t + 7*t**2. Let v be i(0). Which is the closest to 2? (a) -0.3 (b) 1 (c) v
b
Let d = 237/4 - 59. Let x = 0.032 + -3.032. What is the closest to 0 in -1/3, x, d?
d
Suppose 4*i - 85 = -93. Let h be (-1 + i + 5)/(3 + -11). What is the nearest to h in 10, 5, -1?
-1
Let k = 0.19 - 0.39. Let a be 0/(-5 - (-2 + 2 - 3)). What is the closest to a in k, 1, -1/4?
k
Let y = 0.33 - -0.07. Let g be (40/14 - -3)/1. Let x = -43/7 + g. What is the nearest to -1 in y, x, -2/3?
-2/3
Let f = 426 - 426. Which is the nearest to 1? (a) -2 (b) 0.4 (c) f
b
Suppose -5*n = -4*t + 3*t + 45, 5*t - 4*n = 120. Suppose 5*u + 4*g = 5*g - 5, -4*g + t = 0. Which is the nearest to u? (a) 0.5 (b) 0 (c) -8
b
Let p = -3.093 + -14.917. Let k = p + 18. Let o = -53 + 52. What is the nearest to o in -4, -5, k?
k
Let s = -133/10 + 29/2. Suppose p + 3*t - 15 = 7*t, -5*t - 3 = 4*p. Which is the nearest to -1? (a) 0.4 (b) p (c) s
a
Let m = 2.9 + -2.4. Let z = -2 + 1.9. Let a(g) = g**3 + 8*g**2 + g + 9. Let p be a(-8). What is the closest to p in -0.5, m, z?
m
Let w = -1 - -1. Let z = 4.27 + -2.27. Let d = -101/3 - -34. Which is the closest to d? (a) w (b) -1 (c) z
a
Let r = 0.76 - 1.76. Let i = -19 - -26. What is the closest to r in 0.2, i, 5?
0.2
Let t be (99/(-132))/(6/(-4)). Which is the closest to t? (a) 2 (b) 5 (c) -7/8 (d) -0.1
d
Let i = -1072.5 - -1072. What is the closest to 0.1 in -0.4, 5, i, 19?
-0.4
Suppose -8*u = -4*u + 12*u. Which is the nearest to u? (a) -1.8 (b) 4/7 (c) -2
b
Let t = 4 - 4.2. What is the closest to -0.1 in 1/6, 2/5, t, -1/6?
-1/6
Let l = 908 + -912. What is the closest to 0.14 in -2/3, l, -2, -0.4?
-0.4
Let q(l) = 2*l**3 + 9*l**2 + 2*l - 8. Let s be q(-4). Suppose s = 6*h - 8*h. Which is the nearest to h? (a) -0.06 (b) -2/13 (c) 2
a
Let t = 9 - 8.8. Let n = 1.3 - t. Let s = n - 0.8. Which is the nearest to 2/5? (a) s (b) -2 (c) -0.5
a
Let w(q) = -34*q + 3. Let o be w(0). What is the closest to -1/4 in -2/15, -13, o, 0.3?
-2/15
Let a = -0.57 - -0.57. Suppose 2*b - k + 5 = b, 9 = -b + 2*k. What is the nearest to 0.1 in b, a, -0.2?
a
Suppose -3*h + 70 - 235 = 0. Let z = -50 - h. Which is the closest to 1? (a) 1.6 (b) 0.1 (c) z
a
Let r = 0.162 - -0.138. Let q = -11.96 + 12. Let v = -1.04 + q. Which is the closest to 0.1? (a) 2 (b) r (c) v
b
Let d be 53/2 - (-2 - 9/(-6)). Suppose 22*v - d*v = 60. What is the closest to -1/3 in v, -1, -0.3?
-0.3
Let y = -6 - -5. Suppose -5*x + 385 - 35 = 0. Let z = x + -488/7. Which is the closest to y? (a) -1/3 (b) z (c) 4
a
Let d be (3/(-6) + 2)*-8. Let o be (-13 - d)*(-2)/((-4)/(-10)). Which is the nearest to -1/3? (a) -2 (b) o (c) -0.32
c
Suppose 19*s - 38 = 38. What is the nearest to 3/8 in 5, -3, s?
-3
Let g be (12/(-8) - 0)*(-6)/(-18). What is the closest to g in -0.2, -73, 1/5?
-0.2
Let l be (-3)/(-8)*-2*6/18. Let t = -15/4 + 87/20. What is the closest to -2/3 in 4, t, l?
l
Let m = -33 + 52. Let y = -15 + m. Which is the nearest to 2? (a) -2 (b) y (c) 2
c
Let d = -2740/3 - -912. What is the closest to -0.1 in 0, -2/25, d, -4?
-2/25
Let t = -1 + 1.02. Let n = t + -0.42. Let p = 4138 - 37240/9. What is the closest to p in -0.2, n, 6/11?
6/11
Let q = -1.2 - 17.8. Let a = q + 11. Let u = a + 7. What is the closest to -1/4 in -1/2, 0.3, u?
-1/2
Suppose 0 = -2*z + 8, -y + 2*y - 4*z = -17. Let u = 0 - -4. Let x = 18.04 + -19.04. Which is the closest to y? (a) u (b) x (c) 0.2
b
Let z = 155 + -156. Let q = -133/4 - -33. What is the closest to z in -2, q, -3?
q
Let s = -283 + 278. Which is the closest to -2/5? (a) 3 (b) 13 (c) s
a
Let r = 3.35 - -12.75. Let y = 16 - r. Suppose 3*i + 6 = -2*f - 1, i - 5*f - 9 = 0. Which is the closest to y? (a) 2 (b) -4 (c) i
c
Let k = -19 + 8. Let t = k - -12. Which is the closest to 1? (a) t (b) 5 (c) 1/13
a
Let k be -2*((-7)/4 + (-7)/28). Let l = -13.2 + 15. What is the closest to l in -1/2, k, -4?
k
Let n = -3.403 - -0.403. What is the closest to -1.2 in 10, -1, 4, n?
-1
Suppose -4*o + 25 = o. Suppose -3*l = -o*l. Let w = l - -3. Which is the closest to -2/7? (a) 0.4 (b) w (c) 0
c
Let y = -1 + 4. Let o = 2.76 - 2.8. Let i = o + -0.06. What is the closest to -3 in y, i, -1/4?
-1/4
Let n = 28.15 - 28.35. Let y = -3.1 - -0.1. What is the nearest to n in y, -5, 2/9?
2/9
Let d be (-42)/110 + (-48)/(-15) + -3. Let x = 0 + -0.3. Which is the nearest to d? (a) -2 (b) -4 (c) x
c
Let q = -1556 + 1557. What is the nearest to 0.1 in 11/5, 0.3, q, -1?
0.3
Let p = -22 - -18. Let l = p - -7. Let n = -33 - -38. Which is the closest to 0? (a) l (b) 5/6 (c) n
b
Let n = 1.908 + -1.708. What is the closest to -7 in n, -2, -3?
-3
Let w = -278.1 - -278. Let u = 0.5 - 0.1. What is the closest to 2 in w, u, 2?
2
Let r = 55/69 + -3/23. Which is the nearest to -2? (a) 5 (b) 93 (c) r
c
Let y be (-3)/2*(-4)/(-24). Suppose 5*r + 11 = -h, 3*r - 4 = -r - 4*h. Let v = -502 - -502.2. Which is the closest to v? (a) y (b) r (c) -0.4
a
Let v = 19255/16494 - 2/2749. What is the closest to 1/3 in 0.1, -13, -1, v?
0.1
Let t = 0 + -0.2. Let y be (((-3)/1)/3)/((-1)/2). Let o be (12 + -4)/(-56)*-2*y. What is the closest to 3 in t, o, -0.5?
o
Let y = -1.8 - -2.5. Let m = 1 - y. Let h(s) = -3*s + 35. Let n be h(11). Which is the closest to n? (a) m (b) -2/3 (c) 1
c
Let u = 3.83 - 4.03. What is the nearest to 2 in 1, -54, 0.4, u?
1
Let w = -1741/2 + 870. Let a = 0.016 + 0.294. Let n = 0.01 - a. What is the closest to w in 6/11, 0, n?
n
Let h = 45 - 44. What is the closest to h in -1/4, 0.5, 2/9?
0.5
Let f = -0.9 + -0.1. Let d = 70 - 71. Let h be 260/70 + (-5 - d). What is the closest to 1 in 1, h, f?
1
Let q = -16.7 - -17.7. Let u = 79/9 + -1519/171. Which is the nearest to -1? (a) u (b) -6 (c) q
a
Let x = -0.95 + 1. Let i = -4.66 + 4.56. What is the nearest to -0.2 in x, 5, i?
i
Let l = -625 + 626. Let k = 5.13 - 0.13. What is the closest to 0.1 in k, l, -3?
l
Let w = -22 - 29. Let o = -50 - w. What is the nearest to -2/3 in 1/7, -5, o?
1/7
Let o = -50 - -55. Let r(q) = -q**2 + 4*q + 1. Let h be r(o). What is the closest to 1 in h, -0.4, 3?
-0.4
Let n = -16.3 - -16. Let k(a) = -a**2 - 2*a + 2. Let v be k(4). Let o = -22 - v. What is the nearest to n in 2, 1/5, o?
o
Let v = -125 + 137. Which is the closest to v? (a) 3/7 (b) -4 (c) 1/2
c
Let v(x) = x**3 + 21*x**2 - 52*x - 141. Let s be v(-23). What is the closest to 2 in 3/5, 2, s, 0.04?
2
Let l(n) = -n**2 + 6*n - 4. Let f be l(4). Let k = -199 + 195. Let h be (-1 + 3)/(0 + -7). What is the closest to -0.1 in k, f, h?
h
Let u(z) = -6*z + 13. Let a be u(3). What is the nearest to 0.2 in -1, 42, a, -4?
-1
Suppose -2*j = -4 - 52. Let w be 25/j + 1/(-7). What is the closest to 0.1 in 1/5, w, 1?
1/5
Let j = 137 - 120. What is the nearest to -1 in j, 1, -0.5?
-0.5
Let f = 674 + -677. What is the closest to -7 in 9, f, -0.2?
f
Let z be (24/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
4*z - 129. What is the greatest common factor of u and 10?
10
Let c(r) = r**3 + 3*r**2 - 3*r - 3. Let x be c(-3). Let q be ((-32)/(-6))/4*x. What is the greatest common factor of 24 and q?
8
Suppose 0 = 5*m + 4*t - 3, m = 2*t - 0*t + 9. Suppose 0 = m*l + l - 8. What is the highest common factor of 16 and l?
2
Let z = -27 + 107. What is the highest common factor of z and 32?
16
Let p = -141 - -204. What is the highest common divisor of p and 42?
21
Let z be (-224)/(-6)*3/1. Let t = -114 - -184. Suppose 4*f + t = 8*f - 3*d, 5*f + 3*d - 74 = 0. Calculate the highest common divisor of f and z.
16
Let u be (-3)/2 - (-243)/18. Calculate the highest common divisor of 120 and u.
12
Suppose -21 = 3*p - 6*p. Suppose 4*f - 5*b - 219 = 58, 3*f + 5*b = 164. What is the highest common divisor of f and p?
7
Let p(g) = -19*g + 7. Let f(i) = 18*i - 6. Let a(o) = 6*f(o) + 5*p(o). Let s be a(1). Suppose 10*x + 14 = 44. Calculate the highest common divisor of x and s.
3
Let b be (-2883)/62*4/(-6). Calculate the highest common divisor of 279 and b.
31
Let n = -13 + 23. Let z(w) = w**2 - 5*w - 14. Let q be z(n). What is the highest common factor of q and 4?
4
Let f be 1/2*0/(-3). Suppose f*s = -s + 2. Let p be 3 + 1 - 2/2. What is the highest common divisor of p and s?
1
Suppose 0 = -2*q - 2*q + 120. What is the greatest common divisor of q and 20?
10
Let q be (12/2)/3 - -2. Suppose 0 = x - q*a - 13, -150 = x - 6*x + 3*a. Calculate the highest common factor of x and 11.
11
Let t be 2/(-8)*0 + 8. Suppose z + 21 = 4*a, -6*z - 20 = -2*z. Suppose 5*y = -2*x + 7, -a*y - 50 - 18 = -3*x. Calculate the greatest common divisor of t and x.
8
Let j be ((-3)/(-9))/(2/54). Let i be 14/(-18) + (-2)/j. Let t = 13 - i. Calculate the greatest common factor of 14 and t.
14
Let u be (-4 + 12)*(4 + -2). Calculate the highest common divisor of u and 144.
16
Let y(q) = -q**3 - q**2 + 2*q + 4. Let c be y(-2). Let u(i) = 15*i. Let t be u(c). Let z = 24 + -9. Calculate the highest common factor of t and z.
15
Let x = 153 - 88. What is the highest common divisor of 13 and x?
13
Let i = 191 + -114. What is the greatest common divisor of i and 7?
7
Let t = 17 + -12. Let i = t + -8. Let r be (-18)/(-15)*(-40)/i. What is the highest common divisor of 48 and r?
16
Suppose 0 = 5*g + 5 - 15. Calculate the greatest common divisor of g and 18.
2
Let g be ((-3)/(-2))/(2/12). What is the highest common factor of g and 3?
3
Let k(o) = 13*o + 4. Let m be k(4). Calculate the greatest common factor of 8 and m.
8
Suppose -y + 5*n - 24 = 0, 3*y + 2*n = -2*n + 4. Let b be (y + -41)*(-2)/3. What is the greatest common divisor of b and 10?
10
Suppose i = -6 + 66. Suppose -i = -4*w + 72. What is the highest common divisor of 11 and w?
11
Suppose -7*y - 5*q = -2*y - 35, -2*y + q + 20 = 0. What is the highest common factor of 3 and y?
3
Suppose 4*o - o = 9. Suppose 4*q = d - 0*q - 10, -3*q = o*d. Let m = -156 + 164. Calculate the greatest common factor of m and d.
2
Suppose 2*g - 15 = g - 4*x, -5*g = -2*x - 9. Suppose g = 3*l - 0, -2*q + 123 = -5*l. What is the highest common factor of 8 and q?
8
Let q = -74 - -110. Let m be (-1)/((2/3)/2). Let l(w) = -w**3 - w**2 + 2*w - 3. Let b be l(m). What is the greatest common divisor of q and b?
9
Suppose 56 = 5*q - 4*p, 0*q - 2*p = -5*q + 58. Suppose 0 = 5*y - 2*d - 234, -5*y = -d + 15 - 252. What is the greatest common factor of q and y?
12
Let s = -9 - -15. Suppose -6 = -2*y + 3*h + 3, -h - 23 = -4*y. Calculate the highest common divisor of s and y.
6
Let p be 3/(6/(-2))*-70. What is the greatest common divisor of 14 and p?
14
Let p = -61 + 36. Let r = p - -50. Calculate the greatest common divisor of r and 125.
25
Let n = -81 + 116. Suppose -38 - 27 = -5*w. Let d = w - 6. What is the greatest common divisor of d and n?
7
Suppose 5*d = d - 252. Let v be 2 - (2 + d)/1. Let j = -34 - -43. What is the highest common divisor of j and v?
9
Suppose -3*o - 26 = -125. What is the greatest common factor of o and 363?
33
Suppose u - 153 = -4*n - 0*u, 4*n + 4*u = 144. Calculate the highest common divisor of 156 and n.
39
Let c(i) = -i**2 + 10*i + 2. Let n be c(8). Let q be 40*(n/15 - -2). Suppose 0 = 4*f + 12, -5*r + 68 = -0*r + 4*f. What is the highest common factor of r and q?
16
Let r(s) = -s**2 + 4*s - 9. Let y be r(8). Let p = y + 66. What is the highest common factor of 5 and p?
5
Let r(b) = b**3 - b**2 - b. Let a be r(2). Let m(v) be the first derivative of v**2/2 + 5*v - 3. Let t be m(-4). What is the highest common factor of t and a?
1
Let v be 2/(-3) + 299/3. Suppose 3*y - 9 = 2*y. Calculate the greatest common factor of v and y.
9
Let j = -106 - -132. Let h(p) = -p**3 + 9*p**2 - 7*p - 1. Let v be h(6). Calculate the highest common divisor of j and v.
13
Let y(a) = 10*a - 3. Let w be y(1). Calculate the highest common divisor of w and 77.
7
Suppose -7 - 1 = 4*u, -5*k + 212 = 4*u. Calculate the greatest common divisor of k and 11.
11
Let s = 4 - -14. Suppose -2*z = -z - 4*b - s, -42 = -5*z - 4*b. Calculate the highest common factor of 1 and z.
1
Let a(o) = -3*o**3 + 1. Let w be a(-1). Let z be (-10)/w*(-264)/30. Calculate the highest common divisor of 11 and z.
11
Let x(y) = 3*y**2 + 12*y + 8. Let q be x(-4). Let w be (-34)/(-9) + 6/27. What is the highest common divisor of w and q?
4
Suppose -4 = -2*n + n. Let h = n - 4. Suppose f = -h*f + 22. What is the highest common factor of 55 and f?
11
Suppose -5*h + 12 = -h + g, h + 5*g = 3. Suppose 2*t + 21 = 23. Calculate the highest common factor of h and t.
1
Let x = 321 + -216. What is the highest common factor of x and 21?
21
Suppose 3*a - 24 = -0*a. Suppose -1 = -3*q + 2. Let h be -2 + (2 + 1)/q. Calculate the greatest common factor of h and a.
1
Suppose 54 = k + 3*b, -k + 264 = 3*k - 4*b. Suppose -3*m - 4*r - 24 = -7*m, 9 = 2*m - 3*r. What is the greatest common factor of k and m?
9
Suppose g - 9 + 3 = 0. Suppose a + 140 = g*a. Suppose 5*x + 3*c - 105 = 0, 0 = 4*x + 5*c - a - 56. What is the highest common factor of x and 7?
7
Let r(y) = -y**3 + 7*y**2 + 6*y + 7. Let u be r(6). Let i = 290 - 51. Suppose 0 = -2*b + i - u. Calculate the highest common divisor of b and 32.
16
Suppose 4*p - 14 = 178. Suppose -4*r - p = -8*r. What is the greatest common factor of 30 and r?
6
Let r(y) = -y**3 - y**2 + 4*y + 3. Let c be r(-3). Calculate the highest common divisor of 99 and c.
9
Suppose 2*q = 3*q - 3. Calculate the greatest common factor of q and 27.
3
Suppose 2*i - 96 = -0*p + 4*p, 0 = -p + 4*i - 38. Let r be p/(-4) + (-3)/(-2). Calculate the highest common divisor of 35 and r.
7
Let w(s) = 32*s + 1. Let n be w(3). Let u be (-6)/(-27) - n/(-9). Calculate the highest common factor of 77 and u.
11
Suppose 2*f + 3*q = -2*q + 20, 4*f + 5*q - 30 = 0. What is the highest common divisor of 5 and f?
5
Suppose 0 = o - 4 - 8. Let a be 46 - 2/(2/(-2)). Calculate the greatest common factor of o and a.
12
Suppose a + 3*a - 64 = 0. Let v = -4 - -36. Calculate the highest common divisor of v and a.
16
Suppose 5*r - 8 = -x, x + 2 = -4*r + 10. Let h = -5 + x. Suppose 5*n - q + 4*q = 65, 0 = -2*n - h*q + 26. What is the highest common factor of 117 and n?
13
Let j = -77 - -82. What is the greatest common factor of 5 and j?
5
Suppose -56 = -5*k + k. Suppose -2*z + 4*s - 6 = 0, 4*z + s + 4*s - k = 0. Let i = 6 - z. Calculate the greatest common divisor of i and 40.
5
Let p(b) be the second derivative of 5*b**3/3 - b. Let j be p(4). Let g = 126 - 116. What is the greatest common divisor of j and g?
10
Let g = -10 + 21. Suppose 12*t = 5*t + 154. Calculate the greatest common divisor of g and t.
11
Let b be (-1 - 4)*5/(100/(-32)). Calculate the greatest common factor of 64 and b.
8
Let q be (11/(-22))/((-2)/(-196)). Let i = q - -337. Calculate the greatest common factor of 36 and i.
36
Let t = 2 - 0. Let y be t/((-2)/(-1)) - 2. Let n be (-16 + (0 - 0))*y. Calculate the greatest common divisor of 2 and n.
2
Suppose -6 = o + 3. Let c = o - -15. Calculate the highest common divisor of c and 54.
6
Let s = 178 + -70. Calculate the greatest common divisor of s and 12.
12
Suppose -4*y + 3*j - 13 + 33 = 0, 5*y + 2*j - 25 = 0. Suppose -y*h + 129 + 48 = -3*d, -5*d - 31 = -h. Calculate the highest common divisor of 9 and h.
9
Let j be (-1)/((-3)/(-102))*-1
|
{
"pile_set_name": "DM Mathematics"
}
|
are the prime factors of 5527?
5527
List the prime factors of 8906123.
8906123
What are the prime factors of 630667?
19, 1747
What are the prime factors of 3520378?
2, 659, 2671
What are the prime factors of 19221811?
7, 97, 28309
List the prime factors of 39626006.
2, 7, 29, 73, 191
List the prime factors of 469021.
7, 67003
List the prime factors of 3635175.
3, 5, 19, 2551
List the prime factors of 1365151.
17, 131, 613
List the prime factors of 166494.
2, 3, 27749
List the prime factors of 7495355.
5, 7, 23, 9311
What are the prime factors of 163283?
269, 607
What are the prime factors of 2630465?
5, 173, 3041
What are the prime factors of 304423?
7, 157, 277
List the prime factors of 657249.
3, 219083
What are the prime factors of 1435121?
1435121
List the prime factors of 1135917.
3, 42071
List the prime factors of 5520020.
2, 5, 11, 2281
What are the prime factors of 11825003?
239, 49477
What are the prime factors of 179492?
2, 23, 1951
List the prime factors of 614271.
3, 7, 29251
What are the prime factors of 21772259?
21772259
What are the prime factors of 341898?
2, 3, 56983
What are the prime factors of 234594?
2, 3, 13033
List the prime factors of 49440.
2, 3, 5, 103
List the prime factors of 309291.
3, 131, 787
List the prime factors of 1178670.
2, 3, 5, 101, 389
What are the prime factors of 6360255?
3, 5, 11, 4283
What are the prime factors of 4328840?
2, 5, 31, 3491
What are the prime factors of 247795?
5, 49559
List the prime factors of 31058478.
2, 3, 11, 29, 601
List the prime factors of 1780220.
2, 5, 13, 41, 167
List the prime factors of 8726429.
179, 48751
What are the prime factors of 8099867?
43, 188369
List the prime factors of 369092.
2, 53, 1741
What are the prime factors of 832015?
5, 166403
List the prime factors of 14129035.
5, 167, 16921
What are the prime factors of 1480256?
2, 101, 229
What are the prime factors of 166549?
17, 97, 101
What are the prime factors of 5835343?
5835343
What are the prime factors of 1796523?
3, 598841
What are the prime factors of 24447592?
2, 13, 31, 7583
What are the prime factors of 985625?
5, 19, 83
List the prime factors of 130409.
130409
List the prime factors of 1303494.
2, 3, 89, 2441
List the prime factors of 7000816.
2, 19, 23029
What are the prime factors of 5111111?
59, 86629
List the prime factors of 630180.
2, 3, 5, 389
What are the prime factors of 96876?
2, 3, 13, 23
List the prime factors of 111337.
111337
What are the prime factors of 33892?
2, 37, 229
What are the prime factors of 1065771?
3, 7, 5639
List the prime factors of 12878383.
7, 1839769
What are the prime factors of 248301?
3, 47, 587
List the prime factors of 2929318.
2, 7, 71, 421
List the prime factors of 11889395.
5, 7, 37, 9181
List the prime factors of 4752799.
223, 21313
List the prime factors of 8729563.
8729563
List the prime factors of 230934.
2, 3, 11, 3499
List the prime factors of 39370.
2, 5, 31, 127
What are the prime factors of 1314124?
2, 7, 46933
What are the prime factors of 627361?
7, 19, 53, 89
List the prime factors of 4431140.
2, 5, 7, 31, 1021
List the prime factors of 4658660.
2, 5, 109, 2137
What are the prime factors of 371425?
5, 83, 179
List the prime factors of 2491230.
2, 3, 5, 7, 11863
List the prime factors of 202624.
2, 1583
List the prime factors of 23204719.
19, 64279
List the prime factors of 4837008.
2, 3, 11, 9161
What are the prime factors of 4728720?
2, 3, 5, 17, 19, 61
What are the prime factors of 4991364?
2, 3, 7, 29, 683
List the prime factors of 576590.
2, 5, 7, 8237
List the prime factors of 1341122.
2, 31, 97, 223
List the prime factors of 85170.
2, 3, 5, 17, 167
What are the prime factors of 64424?
2, 8053
What are the prime factors of 431038?
2, 127, 1697
List the prime factors of 9169148.
2, 43, 53309
List the prime factors of 1999088.
2, 7, 13, 1373
What are the prime factors of 9081768?
2, 3, 378407
What are the prime factors of 169295?
5, 7, 691
What are the prime factors of 1314425?
5, 7, 29, 37
List the prime factors of 1002774.
2, 3, 37, 4517
What are the prime factors of 937116?
2, 3, 8677
What are the prime factors of 530180?
2, 5, 7, 541
List the prime factors of 133886.
2, 66943
List the prime factors of 1497943.
1091, 1373
List the prime factors of 47266.
2, 23633
What are the prime factors of 51587?
79, 653
What are the prime factors of 244740?
2, 3, 5, 4079
What are the prime factors of 433115?
5, 29, 103
What are the prime factors of 3349794?
2, 3, 7, 79757
What are the prime factors of 4287988?
2, 337, 3181
What are the prime factors of 10422641?
37, 43, 6551
What are the prime factors of 15777767?
1783, 8849
List the prime factors of 7301397.
3, 479, 5081
What are the prime factors of 914746?
2, 7, 223, 293
List the prime factors of 205353.
3, 22817
What are the prime factors of 59124?
2, 3, 13, 379
List the prime factors of 310208.
2, 37, 131
What are the prime factors of 465683?
457, 1019
List the prime factors of 5286505.
5, 7, 131, 1153
What are the prime factors of 170042?
2, 85021
List the prime factors of 10046854.
2, 89, 56443
What are the prime factors of 227446?
2, 113723
List the prime factors of 92113.
7, 13159
List the prime factors of 3724230.
2, 3, 5, 43, 2887
What are the prime factors of 3794699?
19, 199721
What are the prime factors of 361722?
2, 3, 19, 167
What are the prime factors of 1229446?
2, 89, 6907
What are the prime factors of 1104145?
5, 7, 31547
List the prime factors of 206885.
5, 7, 23, 257
List the prime factors of 226812.
2, 3, 41, 461
What are the prime factors of 739420?
2, 5, 11, 3361
List the prime factors of 18389439.
3, 967, 2113
List the prime factors of 335181.
3, 7, 11, 1451
List the prime factors of 5091421.
41, 124181
List the prime factors of 597436.
2, 7, 19, 1123
List the prime factors of 2810394.
2, 3, 43, 3631
List the prime factors of 22935494.
2, 563, 20369
List the prime factors of 32073433.
7, 4581919
List the prime factors of 14039848.
2, 199, 8819
List the prime factors of 3348932.
2, 17, 2897
What are the prime factors of 759040?
2, 5, 593
What are the prime factors of 3640288?
2, 113759
List the prime factors of 481158.
2, 3, 26731
What are the prime factors of 658123?
658123
What are the prime factors of 6501009?
3, 2167003
What are the prime factors of 593269?
571, 1039
List the prime factors of 571421.
17, 33613
List the prime factors of 299760.
2, 3, 5, 1249
List the prime factors of 1927436.
2, 7, 19, 3623
What are the prime factors of 6254527?
6254527
List the prime factors of 4865063.
7, 43, 2309
What are the prime factors of 348173?
7, 49739
What are the prime factors of 1320879?
3, 7, 31, 2029
List the prime factors of 13290081.
3, 7, 131, 4831
What are the prime factors of 1804942?
2, 902471
What are the prime factors of 63992?
2, 19, 421
What are the prime factors of 329951?
329951
What are the prime factors of 28748041?
7, 4106863
What are the prime factors of 6144859?
7, 877837
List the prime factors of 3079352.
2, 384919
List the prime factors of 265441.
11, 59, 409
What are the prime factors of 640447?
197, 3251
List the prime factors of 15144441.
3, 13, 388319
List the prime factors of 247489.
11, 149, 151
List the prime factors of 13427104.
2, 419597
What are the prime factors of 9517034?
2, 4758517
What are the prime factors of 20245945?
5, 31, 130619
What are the prime factors of 752915?
5, 150583
What are the prime factors of 27117751?
27117751
What are the prime factors of 1579544?
2, 347, 569
What are the prime factors of 1199751?
3, 7, 57131
What are the prime factors of 1227833?
1227833
What are the prime factors of 332798?
2, 166399
List the prime factors of 506250.
2, 3, 5
What are the prime factors of 251669?
11, 137, 167
List the prime factors of 306527.
13, 17, 19, 73
What are the prime factors of 644175?
3, 5, 7, 409
What are the prime factors of 578806?
2, 251, 1153
What are the prime factors of 276756?
2, 3, 23063
What are the prime factors of 3275797?
7, 66853
List the prime factors of 6924507.
3, 2308169
What are the prime factors of 1163163?
3, 387721
What are the prime factors of 22871313?
3, 43, 113, 523
What are the prime factors of 487293?
3, 19, 83, 103
What are the prime factors of 6195204?
2, 3, 19121
What are the prime factors of 12307
|
{
"pile_set_name": "DM Mathematics"
}
|
g + 1. Let z be x(3). Let q = 4631 + -4636. What is the smallest value in z, 0.2, q?
q
Let y = -27800.7 - -27801. Let w be (9/27)/((-1)/(-9)). Which is the second biggest value? (a) -2 (b) w (c) y
c
Suppose 3*i - 14 = 5*p, -7*p + 10*p + 22 = -5*i. Which is the third biggest value? (a) 18 (b) p (c) -1/2 (d) 1.1
c
Let p = -1122/89 + 5699/445. Which is the third biggest value? (a) -127 (b) -0.6 (c) p
a
Let f be ((-230)/161)/(((-3480)/42)/(-5)). Which is the smallest value? (a) -2 (b) -2/3 (c) f
a
Let r = 2/33 - 19/11. Let j = 560.43 + -555. Let w = -5.03 + j. Which is the smallest value? (a) r (b) -0.2 (c) w (d) 3/7
a
Let f = -4.87246 - 0.12754. Let d = 14.52 + 1.08. What is the smallest value in -2/13, f, d?
f
Let j = 573.69 - 573.49. Let d be (0 - -1)*4/(-2). What is the fourth biggest value in -1/10, j, -29, d?
-29
Let d = -19680 + 19666.393. Let m = d - 0.393. What is the biggest value in m, 0.2, -11?
0.2
Suppose i = 2*l + l - 51, 0 = -5*l + 2*i + 85. Let g = 2938 + -2934. Suppose -1 = g*z - l. What is the third biggest value in -4, z, 3, 0.6?
0.6
Let d be (-2 + 2)/(-5 - 16/(-8)). What is the third smallest value in -1/2, 3, 9, d, 4?
3
Let x be 4/(-10)*6/(-4). Let m = -37 - -372. Let y = -334.7 + m. Which is the third smallest value? (a) -0.2 (b) x (c) 5 (d) y
b
Let g = -219 + 1529/7. What is the fourth biggest value in -2/5, -4, g, 2?
-4
Let n = -7914.97 + 7915. Which is the third smallest value? (a) -19 (b) -0.16 (c) n
c
Let i(s) = 4*s**3 - 15*s**2 - 23*s - 14. Let a be i(5). Let c = 5.4 + -5. What is the smallest value in 1/3, a, c?
a
Let n = 4870 + -4870.4. Let w = -5 + 6. What is the smallest value in n, w, 10?
n
Let c = 5 - 8. Let m(d) = 6*d**2 - 7*d - 211. Let n be m(-13). Let s = 4476/5 - n. What is the biggest value in 4, c, s?
4
Let h = -292.093 + 292. Let z = -76.907 + h. Which is the third smallest value? (a) 0.5 (b) z (c) -0.2
a
Let v = -134 - -137. What is the second smallest value in -2/9, 70, -1/2, v?
-2/9
Let u = -52.94 + 17.94. What is the second smallest value in 4, u, 1/15?
1/15
Suppose 29 = 4*q - 5*m, 1017*m - 1014*m + 15 = 0. What is the biggest value in -2.2, q, 0.2, -11?
q
Let i = 6 - 6.1. Let h = -59865.93 + 59866. What is the third smallest value in i, 0.02, h, 5?
h
Let i = -2.8 - -3. Let y be ((-76)/(-12) - 1) + 12/(-2). Which is the fourth smallest value? (a) y (b) -10/7 (c) -3 (d) i
d
Let f = 9012 - 9012.5. Let j = -3.7 - 1.7. Which is the second biggest value? (a) f (b) 0.2 (c) j (d) 0
d
Let z = 48.42 + -50.42. What is the third biggest value in 2/7, 0.4, 10/31, z, -5?
2/7
Let k = -0.913 - 399.087. Let p = 399.6 + k. Let m = 0.02 + -0.08. Which is the second biggest value? (a) p (b) m (c) 3 (d) -3/2
b
Let x be 15/(-9) + (-3 - -5). Let q = -535.6 + 536.6. Which is the third smallest value? (a) x (b) 5 (c) q (d) 1/11
c
Let t(i) = i**2 + 130*i + 2292. Let n be t(-109). Let y = 2 + -1. Let x = y + -4. Which is the second smallest value? (a) 1/3 (b) x (c) -1/2 (d) n
c
Let b = -2.1266 + 3.1266. What is the third smallest value in 0.3, b, 25/2?
25/2
Let i(u) = -5*u**3 - 32*u**2 - 32*u + 11. Let p be i(-5). Which is the fifth smallest value? (a) 166 (b) p (c) -1 (d) -0.1 (e) -5
a
Let f = -310 + 216. Let n = 0.028 - -90.972. Let s = n + f. What is the fourth biggest value in s, 5, -1/6, -5/4?
s
Suppose 305 = 79*r + 9 - 99. Which is the fifth biggest value? (a) 21/4 (b) 3 (c) r (d) -2 (e) -1/8
d
Let y(f) = -2*f**2 + 70*f - 84. Let p be y(27). Let o = p + -351. Let t = 0.5 - 0.4. What is the fourth biggest value in t, -5, -0.3, o?
-5
Let m = -3.47 - -47.87. Let g = m + -44. What is the second biggest value in g, 0.2, -0.1?
0.2
Let r = 153922.5 - 153922. Let j = 5 - 7.5. What is the biggest value in j, 0.4, r, -0.3?
r
Let w = -54691/59 + 927. Let o = 65/177 - w. Suppose -51 = -18*y - 15. What is the fourth biggest value in -1, o, -2/5, y?
-1
Suppose -2*n - 2*n - b - 5 = 0, 20 = -2*n - 4*b. Let w = -0.47259 + 0.07259. Let o be 15*2/26 + -1. What is the smallest value in n, w, o, -4/3?
-4/3
Let r = -77 + 9.4. Let c = -68 - r. What is the smallest value in -21, c, -2?
-21
Let f = -662 - -3299/5. Let p = -927/1045 + 60/209. What is the second biggest value in 2/3, f, p?
p
Let j = 308 + -389. Let u be ((-279)/j - 3)*6/4. What is the third biggest value in 4, u, -5/2, -0.03?
-0.03
Let t = 2614 + -2880.7. Let i = -267 - t. What is the third smallest value in 1, -2/23, i, 0.4?
0.4
Let p be (-168)/(-40) - (12 + 0 + -8). Which is the fourth smallest value? (a) 5 (b) -5 (c) p (d) 0.8
a
Let m be 102/(-170) - (-5606)/10. Let k = m - 559. Which is the third smallest value? (a) k (b) -3 (c) 0 (d) -0.19
c
Let x = 8129.2 + -8129. Which is the smallest value? (a) 5 (b) 3 (c) x (d) 1/17
d
Let j = 564.78 - -2.22. Let x = j - 567.085. Let l = -0.5 - -0.6. Which is the third smallest value? (a) -5 (b) l (c) x
b
Let d = 3660.529 + -3657. What is the biggest value in -3/7, d, -3?
d
Let u = -0.2344 + 0.1344. Let y = -0.021 + 3.021. Which is the second smallest value? (a) y (b) -0.4 (c) -79 (d) u
b
Let o = 23261/3 + -7754. Which is the third biggest value? (a) 0.2 (b) -1.96 (c) o (d) -1
d
Suppose -11*o = -9*o - 8*b - 112, 0 = -4*o + 2*b + 140. What is the smallest value in -0.5, -0.8, o?
-0.8
Suppose 3*i - 2 - 7 = -v, -2*i + 6 = 0. Suppose v = -3*k - 12 - 0. Let f = -53932.1 + 53932. Which is the third smallest value? (a) 4 (b) 2 (c) k (d) f
b
Let y = -861 - -856. Let p = -150 + 98. Which is the third biggest value? (a) y (b) p (c) -1/7
b
Let y = 143 - 141.93. Let h = -10.57 + y. What is the third smallest value in 2/3, h, -0.1?
2/3
Let q = -1.71 - 3.29. Let h be ((-22)/(-99))/((-6)/9). Which is the third biggest value? (a) q (b) -5/3 (c) h
a
Let l be (-2)/12 - 4/12. Let c = -36232 - -36229. What is the biggest value in l, c, -2?
l
Let g(h) = h**3 - 13*h**2 + 25*h + 20. Let q be g(10). Let n be q/10 - (-17)/5. Which is the second smallest value? (a) -3 (b) 2/9 (c) n (d) -0.06
d
Let m = -8731 - -8734. Which is the smallest value? (a) -1/5 (b) m (c) 40 (d) -4/3 (e) -0.1
d
Let w = 215 + 220. Let i = -431 + w. Let j = 107 - 537/5. What is the smallest value in j, 8, 0.4, i?
j
Suppose 4*b + 5*s - 8 = 0, -15 = -5*s + 5. Let n = -6.37 + 6.33. What is the biggest value in 4/5, b, n?
4/5
Let h = -4 + 6. Let m(n) = -67*n**2 - 5840*n - 953. Let i be m(-87). What is the third biggest value in i, -2, h, -0.2?
-0.2
Let g = -0.89 - 10.61. Let l = g - -10.5. Let u = 0 - -3. Which is the third smallest value? (a) -3 (b) u (c) l
b
Let f = -2.95 + -4.57. Let w = -2.52 - f. Which is the smallest value? (a) w (b) -2 (c) -24
c
Let q = -2099 - -1874.2. Let o = 225 + q. Let t = 1 + -1. Which is the biggest value? (a) 0.1 (b) o (c) -0.3 (d) t
b
Let u = -6878.06 + 6701. Let p = 177 + u. Which is the fourth smallest value? (a) 4 (b) 3 (c) -1/3 (d) p
a
Let d = 6830 - 6835. What is the smallest value in 0.02, d, 53?
d
Let r = -0.0285 - 548.9715. Let a = r - -551. What is the smallest value in -0.4, -1/6, -2, a?
-2
Let h be (8/(-18))/((36/(-99))/(6/(-11))). Which is the fourth biggest value? (a) 21 (b) 4 (c) -2/13 (d) h
d
Let u = -120761 + 120862.958. Let m = u - 102. Let x = m - -0.542. What is the biggest value in 2, x, -1?
2
Let d = -13.624 + 18.624. What is the third smallest value in d, -0.4, 1468, -3, 0.5?
0.5
Suppose -4*q + 2*h = -6*q - 2, -4*h = 5*q. Let u be (-92)/(-64)*q - (4 + 1). What is the third smallest value in -2/5, 4, u?
4
Suppose -522 = 57*j + 194*j + 10*j. Let q = 25 + -21. Let p = -77 + 229/3. What is the fourth biggest value in j, p, q, -0.6?
j
Let w = -1/9069 - 1027817/27207. Let y = 38 + w. Which is the second smallest value? (a) 1/5 (b) y (c) -7
a
Let z be -8*(3 + 0 + 1). Let n be 17*(-92)/(-5865)*5/2. What is the second biggest value in z, n, 1/4?
1/4
Let q(x) = -5*x - 8. Let w(r) = 3*r. Let v(o) = q(o) + 2*w(o). Let l be v(4). Which is the second smallest value? (a) 1/5 (b) l (c) -1/3
c
Let j be ((-9)/315)/((-16)/(-168)). Which is the biggest value? (a) 99 (b) -5 (c) j
a
Let c be (2/6)/(-8 + 175/21). Let r be 0/(-2 + 6 + -7 - c). What is the fourth biggest value in r, -4/5, 11/2, -0.1?
-4/5
Let r = -1172 - -1174. Which is th
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*i = 5*f + 18 - 8, l = i - 3. Calculate v(f).
8
Let r(m) = -m**3 - 6*m**2 - 6*m + 6. Let w(z) = -z**2 - 6*z - 5. Let t be w(-6). Determine r(t).
11
Suppose -47 = -5*c - 5*d + 2*d, 5*c = 3*d + 53. Let m(b) = b**2 - 9*b - 6. Give m(c).
4
Let r(m) be the second derivative of m**4/2 + m**3/6 + m. Let p be 2 + -8 - -3 - -15. Let b = -13 + p. What is r(b)?
5
Suppose 4*i + 4 = -3*u - 12, -2*i - 8 = -3*u. Let c(m) = -m + 21. Determine c(u).
21
Suppose 0*f - 5*f = 0. Let z(c) = c**2 + 3. What is z(f)?
3
Let d(q) = 11*q**2 - 5*q - 5. Let m(i) = 5*i**2 - 3*i - 2. Let h(c) = -4*d(c) + 9*m(c). Calculate h(5).
-8
Let h(y) be the second derivative of y**5/20 - 5*y**4/12 - 3*y**3/2 + 3*y**2 + 14*y. What is h(6)?
-12
Let t(j) = -j**2 + 4. Let x(h) be the first derivative of -h**3/3 - 2*h**2 - 2. Let c be x(-3). Suppose 2*q + c = q. Give t(q).
-5
Suppose -14 = -2*c + 2*x, 27 = 4*c - 5*x - 5. Let d(o) be the second derivative of -o**5/20 + o**4/3 - o**3/6 - o**2 + o. Give d(c).
4
Let c = -6 + 14. Let n = c - 3. Let r(z) = 3*z**2 - n*z**2 + z**2 - 1 - z. Calculate r(-2).
-3
Suppose 2*c = c + 11. Let y(z) = -z**3 + 6*z**2 - 3*z + 3. Let s(w) = 6*w**3 - 31*w**2 + 15*w - 14. Let a(f) = c*y(f) + 2*s(f). What is a(-5)?
-5
Let u be 48/28 + 6/21. Let j(g) = 0 - u*g - 2*g + 3 + g. Give j(-3).
12
Let i(a) be the second derivative of 0 + 6*a + 0*a**2 + 7/20*a**5 - 1/6*a**4 + 1/6*a**3. Give i(1).
6
Let c(d) = -d - 15. Let m be c(-15). Let q(y) = m*y**3 + 6*y - 27*y**2 + y**3 + 3 + 32*y**2. Give q(-4).
-5
Suppose -2*g = -6*g + 8. Let v(s) = -2 + 9 + 8*s**g + s + s**3 - 2. Calculate v(-8).
-3
Let c(h) = -h**2 + 5*h + 5. Suppose -2 = -r - 4. Let t(n) = n**2 + n + 2. Let y be t(r). Calculate c(y).
9
Let w(v) = -v**2 + 8*v - 9. Let b(u) = -3*u - 6. Let g be b(-4). What is w(g)?
3
Let q(a) = a**2 - 5*a. Let t be ((-16)/(-56))/((-2)/(-14)). Let k be (0 - -4 - t)*3. Determine q(k).
6
Let g(x) = 22*x**2 + 4*x - 23*x**2 - 5*x. Calculate g(3).
-12
Suppose 3*t - 3*s = 36, -4*t - 2*s = -0*s - 18. Let f = 5 - t. Let c be (f - 1)*12/9. Let q(a) = 2*a**2 + 6*a + 1. Determine q(c).
9
Let t = -3 + 3. Let d(j) = t*j + j - 1 - 9. Suppose 0 = -3*v - 6, 0*x - 4*v - 3 = x. Determine d(x).
-5
Let v(g) be the second derivative of g**6/360 - g**5/60 - g**4/6 - 4*g**3/3 - 2*g. Let c(k) be the second derivative of v(k). Determine c(4).
4
Suppose 0 = -3*z - 21 + 3. Let k be 12*(15/z)/5. Let m(q) = -q**2 - 6*q - 5. Determine m(k).
-5
Let j(s) be the second derivative of -s**4/6 + s**3/6 - s**2/2 - 5*s. Give j(2).
-7
Let y = 6 - 2. Let m(k) = 10*k**3 + k - 1. Let z be m(1). Suppose -z = y*q - 4*r + 14, -3*q = 3*r - 12. Let l(n) = -8*n**2 - 1. Give l(q).
-9
Let k(v) = -4*v - 2*v**2 - 3 + 2*v - 3*v + v**2. Calculate k(-6).
-9
Let l(f) = 9*f + 1. Let p(z) = 11*z + 2. Let o(s) = -5*l(s) + 4*p(s). Let v = 7 - 3. Determine o(v).
-1
Suppose -5*k = -7*v + 2*v - 30, 6 = -3*v. Let g(f) be the third derivative of -f**5/60 + f**4/6 + 2*f**3/3 + 8*f**2. Determine g(k).
4
Let x(l) = -7*l + 0*l + 7*l + 3*l - 3. Calculate x(4).
9
Let g(f) = -f**2 + 1. Let s(w) = 7*w**2 - 5. Let y be -1*6*25/(-15). Let m(o) = y*g(o) + 2*s(o). Suppose 0 = 2*z + 3*z - 5. Give m(z).
4
Let f(q) = 2*q**2 + 7*q + 5. Let v be f(-4). Suppose -3*a + 2*j - 4*j = -v, -5*a = j - 22. Let n(c) = -2*c + 0*c**2 - c**2 + 7*c - 1. Calculate n(a).
-1
Let x be 99/4 + 1/4. Suppose -c + 30 = x. Let y(u) = u + 3. Let p(o) = -3*o - 6. Let d(z) = -3*p(z) - 7*y(z). Determine d(c).
7
Let q(j) = -3*j**2 + 2. Suppose 3*u - 2*u = f + 25, 3*f + 45 = -3*u. Let x = 18 + f. What is q(x)?
-10
Let g(j) = 2*j - 22. Let p(u) = -3*u - 27. Let y(l) = 5*l + 41. Let f(m) = -8*p(m) - 5*y(m). Let w(x) = 9*f(x) + 4*g(x). Calculate w(6).
5
Let o be 3/(-9) - 60/(-18). Let n(z) be the second derivative of z**4/12 - 5*z**3/6 + 2*z**2 + z. Give n(o).
-2
Let u(g) = g. Let y = 25 - 17. Let l(d) = -d**3 + 8*d**2 - d + 5. Let c be l(y). Determine u(c).
-3
Suppose 3*k = -4*q - k, -q + 3*k = 12. Let y = -5 + q. Let s be ((-10)/y)/((-2)/8). Let g(n) = n**3 + 5*n**2 - 2. Calculate g(s).
-2
Let q = -10 + 2. Let s = q + 5. Let n(j) = 17*j - 8. Let i(r) = -72*r + 33. Let f(v) = -5*i(v) - 21*n(v). Calculate f(s).
-6
Let t(u) = -5*u + 1. Let w(f) = -f**3 + 18*f**2 - 18*f + 16. Let k be w(17). What is t(k)?
6
Let b(q) = 4*q**3 - 24*q**2 - 21*q - 22. Let a = -4 - -2. Let d(c) = -c**3 + 8*c**2 + 7*c + 7. Let v(o) = a*b(o) - 7*d(o). Determine v(-7).
-5
Let t(q) = 2*q + 19. Let w be t(-10). Let v(g) = g + 1. Give v(w).
0
Let i be ((-30)/(-4))/5*2. Suppose n - 6 = i*n. Let y(p) = p**3 + 5*p**2 + 3*p - 1. Determine y(n).
8
Let a be (-3)/(-12) - 7/(-4). Let n(i) = -i**2 + 5 - i**a + 2*i**2 + i**2 - 5*i. Determine n(5).
5
Let q(g) be the first derivative of 0*g - g**3 - 1/2*g**2 + 6 - 1/4*g**4. Determine q(-2).
-2
Suppose -2*f = -p - 17, -3*p + p = 6. Let c be -1*1 + -5 + 4. Let l = c + f. Let z(w) = -w**2 + 5*w - 3. Calculate z(l).
-3
Let b(z) = 7*z + 0 - z**3 + 1 + 0 + 6*z**2 + 5. Let t be b(7). Let l(q) = -t - q + 0 + 0*q + 3. What is l(-5)?
2
Suppose 5*l + 2 = 12. Let d(n) = -9*n + l - n**2 - 2*n**2 + 2*n**2. Let p be d(-9). Let a(z) = 2*z - 3. What is a(p)?
1
Let m(v) = -3*v**2 + 4*v + 4. Let k(w) = -4*w**2 + 5*w + 4. Let f(u) = 2*k(u) - 3*m(u). Let z be -5 - 11/((-44)/8). What is f(z)?
11
Let j be (0 - 2)/2 + 7. Suppose 2*n + 8 = 2*b - j*b, 0 = b + n + 2. Let r(i) = -3*i**3 + 5*i**2 + 2 + 4*i**3 - 2*i**2 + 5*i**3 + 2*i - 4*i**3. Give r(b).
-6
Suppose 3*p = -4*w - p + 8, -w + 4*p = -22. Let t(i) = -w - 7*i + 4 - 2 - i**2 - 1. What is t(-5)?
5
Let r be 30/(-36)*3/(-15). Let q(a) be the third derivative of -r*a**3 - 2*a**2 + 0 + 1/24*a**4 + 0*a. Determine q(2).
1
Let a(t) = t**2 - 10*t + 1. Let h = 13 - 3. Let g be a(h). Let w = g + -7. Let q(v) = v**2 + 6*v - 3. What is q(w)?
-3
Let s = -27 + 33. Let j(i) = i**3 - 5*i**2 - 6*i - 3. What is j(s)?
-3
Let y(u) = -u**3 + 3*u**2 + 2*u - 3. Suppose -1 = d + 2. Let c = d - -6. What is y(c)?
3
Suppose -z + 2*s = -5*z + 12, -5*z + 9 = 4*s. Suppose z*j = 3 + 2. Let c(r) be the first derivative of 5*r**3/3 - r**2 + r - 2. Give c(j).
4
Let s(d) = -d**2 + 5*d + 8. Let x(n) be the third derivative of n**4/24 + n**3/6 - n**2. Let r(k) = s(k) - 6*x(k). Let q = 2 + 0. Calculate r(q).
-4
Let c(o) = -o**2 - 2*o - 5. Suppose 2*w - 5 + 13 = 0. Give c(w).
-13
Let b(r) = -r**3 - 9*r**2 - 8*r + 4. Let f be b(-8). Let a(d) = f*d - d - 2*d. Determine a(5).
5
Let o(f) = -3*f + 2. Let w(u) = 16*u - 10. Let p(t) = 11*o(t) + 2*w(t). Suppose -2 = 5*d - 3*v, d = 4*v - 6 - 8. Give p(d).
0
Let c(p) = p**2 + 1. Let m(z) = 2*z**2 + 4*z - 4. Let l(a) = -c(a) + m(a). Determine l(-6).
7
Let d(m) = -2*m**2 - 7*m + 7. Let l(c) = -c**2. Let v(x) = -d(x) + 3*l(x). What is v(7)?
-7
Let g(y) = -2 - y**3 + 3*y + 4 + 5*y**2 - 6*y - 5. Let n(b) = b**3 + 5*b**2 - 6*b + 4. Let o be n(-6). Give g(o).
1
Suppose -2*f + 40 = 3*f. Let s = -5 + f. Let h be (6/(-4))/(s/4). Let v(y) = y**3 + y**2 + y + 2. What is v(h)?
-4
Let o(h) be the first derivative of -h**2 - 2*h - 4. Let y be (1 - 0)/((-1)/(-2)). What is o(y)?
-6
Let n(r) = -2*r + r + 5 + 2. What is n(11)?
-4
Let r(s) = 5*s + 1. Let o be 2*1/4*10. Suppose -6 = -3*t - 4*n - 1, -o*n - 20 = -5*t. Suppose 25 = 5*k - t*x, 5*k + 2*x = 3*x + 15. What is r(k)?
11
Suppose 6*l + 13 - 1 = 0. Let k(o) = 13*o + 3. Calculate k(l).
-23
Let l(c) be the first derivative of -c**2/2 - c - 4. Determine l(2).
-3
Let q(s) = -2*s + 3 - s + s. Suppose 4 + 0 = c. What is q(c)?
-5
Let g(k) be the first derivative of k**4/4 + k**3/3 - k**2/2 - 8*k + 2. Give g(0).
-8
Suppose 6 = 2*u - 0. Let o(c) = -c**2 - 4*c - 2. Let j be o(-2). Let f(h) = -2 + 5 + 0*h**j - 3*h + 0 + h**2. Determine f(u).
3
Let d(r) = -3*r + 10*r**2 + 12*r**2 - 21*r**2 - r - 1. Give d(3).
-4
Suppose -n + 5*k - 3*k = 0, 0 = 4*k + 8. Let x(g) = -8*g + 27. Let o(p) = -23*p + 76. Let v(i) = -6*o(i) + 17*x(i). Determine v(n).
-5
Suppose -4*f - 14 = 5*m, 0 = 3*m - 0*m - 2*f + 26. Let w(y) = -y**3 - 5*y**2 + 6*y + 1. Give w(m).
1
Let l(g) = -4 - 20*g + 11*g + 12*g + g**2 + 5*g. Determine l(-9).
5
Suppose 4 - 8 = 4*a. Let w(q) = -6*q**3 - 2*q**2 + 1. Determine w(a).
5
Let l(k) = -2*k**2 + 3*k**2 + 0*k + 0*k + 2 + k**3. Let d = 8 - 2. Suppose d*j - 3*j = 0. Give l(j).
2
Let m(z) = -z**3 + 3*z**2 + 5*z. Let p(w) = w
|
{
"pile_set_name": "DM Mathematics"
}
|
t the prime factors of 15527.
15527
What are the prime factors of 48930?
2, 3, 5, 7, 233
What are the prime factors of 2938?
2, 13, 113
What are the prime factors of 12757?
12757
List the prime factors of 384.
2, 3
What are the prime factors of 61122?
2, 3, 61, 167
List the prime factors of 33319.
11, 13, 233
List the prime factors of 61178.
2, 13, 181
What are the prime factors of 770?
2, 5, 7, 11
What are the prime factors of 6920?
2, 5, 173
What are the prime factors of 65014?
2, 32507
List the prime factors of 1050.
2, 3, 5, 7
What are the prime factors of 330?
2, 3, 5, 11
What are the prime factors of 18695?
5, 3739
What are the prime factors of 32006?
2, 13, 1231
What are the prime factors of 24083?
24083
List the prime factors of 14338.
2, 67, 107
What are the prime factors of 7875?
3, 5, 7
What are the prime factors of 1557?
3, 173
List the prime factors of 100044.
2, 3, 7, 397
What are the prime factors of 133070?
2, 5, 7, 1901
What are the prime factors of 202?
2, 101
List the prime factors of 751.
751
List the prime factors of 4977.
3, 7, 79
What are the prime factors of 35545?
5, 7109
List the prime factors of 424.
2, 53
List the prime factors of 2467.
2467
List the prime factors of 13529.
83, 163
What are the prime factors of 6856?
2, 857
What are the prime factors of 76745?
5, 15349
List the prime factors of 8636.
2, 17, 127
List the prime factors of 7635.
3, 5, 509
What are the prime factors of 8863?
8863
List the prime factors of 755.
5, 151
What are the prime factors of 46015?
5, 9203
What are the prime factors of 656?
2, 41
What are the prime factors of 2074?
2, 17, 61
List the prime factors of 6638.
2, 3319
What are the prime factors of 48269?
13, 47, 79
List the prime factors of 10828.
2, 2707
What are the prime factors of 15807?
3, 11, 479
What are the prime factors of 596?
2, 149
List the prime factors of 1364.
2, 11, 31
List the prime factors of 731.
17, 43
What are the prime factors of 16303?
7, 17, 137
What are the prime factors of 76073?
127, 599
What are the prime factors of 458?
2, 229
List the prime factors of 25331.
73, 347
List the prime factors of 6483.
3, 2161
What are the prime factors of 62424?
2, 3, 17
What are the prime factors of 12078?
2, 3, 11, 61
What are the prime factors of 72635?
5, 73, 199
What are the prime factors of 8963?
8963
What are the prime factors of 126608?
2, 41, 193
What are the prime factors of 9890?
2, 5, 23, 43
What are the prime factors of 4074?
2, 3, 7, 97
What are the prime factors of 13424?
2, 839
What are the prime factors of 17960?
2, 5, 449
List the prime factors of 1010.
2, 5, 101
List the prime factors of 1507.
11, 137
List the prime factors of 63132.
2, 3, 5261
What are the prime factors of 15269?
15269
List the prime factors of 68720.
2, 5, 859
What are the prime factors of 1203?
3, 401
What are the prime factors of 1356?
2, 3, 113
What are the prime factors of 1064?
2, 7, 19
What are the prime factors of 42867?
3, 11, 433
What are the prime factors of 107410?
2, 5, 23, 467
List the prime factors of 771.
3, 257
List the prime factors of 81184.
2, 43, 59
What are the prime factors of 161295?
3, 5, 10753
List the prime factors of 3505.
5, 701
What are the prime factors of 8976?
2, 3, 11, 17
List the prime factors of 671.
11, 61
List the prime factors of 49158.
2, 3, 2731
What are the prime factors of 57433?
79, 727
List the prime factors of 66960.
2, 3, 5, 31
List the prime factors of 1985.
5, 397
What are the prime factors of 325?
5, 13
List the prime factors of 1768.
2, 13, 17
List the prime factors of 4799.
4799
What are the prime factors of 214?
2, 107
What are the prime factors of 76814?
2, 193, 199
What are the prime factors of 77376?
2, 3, 13, 31
List the prime factors of 1216.
2, 19
List the prime factors of 4363.
4363
What are the prime factors of 5390?
2, 5, 7, 11
What are the prime factors of 4065?
3, 5, 271
List the prime factors of 22338.
2, 3, 17, 73
What are the prime factors of 3276?
2, 3, 7, 13
List the prime factors of 53627.
7, 47, 163
What are the prime factors of 4829?
11, 439
List the prime factors of 28808.
2, 13, 277
List the prime factors of 107.
107
List the prime factors of 1157.
13, 89
What are the prime factors of 2258?
2, 1129
List the prime factors of 286.
2, 11, 13
List the prime factors of 129964.
2, 32491
List the prime factors of 2305.
5, 461
List the prime factors of 67080.
2, 3, 5, 13, 43
List the prime factors of 5503.
5503
List the prime factors of 35517.
3, 11839
What are the prime factors of 2163?
3, 7, 103
What are the prime factors of 71939?
7, 43, 239
List the prime factors of 64182.
2, 3, 19, 563
What are the prime factors of 4754?
2, 2377
List the prime factors of 3279.
3, 1093
What are the prime factors of 4603?
4603
What are the prime factors of 16300?
2, 5, 163
List the prime factors of 24160.
2, 5, 151
What are the prime factors of 720?
2, 3, 5
What are the prime factors of 3169?
3169
What are the prime factors of 40567?
113, 359
List the prime factors of 39685.
5, 7937
List the prime factors of 4055.
5, 811
List the prime factors of 9252.
2, 3, 257
List the prime factors of 4615.
5, 13, 71
What are the prime factors of 73950?
2, 3, 5, 17, 29
What are the prime factors of 4205?
5, 29
What are the prime factors of 355?
5, 71
List the prime factors of 1871.
1871
What are the prime factors of 18721?
97, 193
What are the prime factors of 782?
2, 17, 23
List the prime factors of 1037.
17, 61
List the prime factors of 70747.
263, 269
List the prime factors of 77618.
2, 197
List the prime factors of 781.
11, 71
What are the prime factors of 263?
263
What are the prime factors of 116693?
61, 1913
List the prime factors of 26188.
2, 6547
List the prime factors of 254.
2, 127
What are the prime factors of 1219?
23, 53
List the prime factors of 843.
3, 281
List the prime factors of 481.
13, 37
What are the prime factors of 9936?
2, 3, 23
List the prime factors of 150.
2, 3, 5
What are the prime factors of 25729?
11, 2339
List the prime factors of 43752.
2, 3, 1823
What are the prime factors of 500?
2, 5
List the prime factors of 2324.
2, 7, 83
What are the prime factors of 1346?
2, 673
List the prime factors of 14962.
2, 7481
What are the prime factors of 11902?
2, 11, 541
What are the prime factors of 21506?
2, 10753
List the prime factors of 643.
643
List the prime factors of 1002.
2, 3, 167
List the prime factors of 1496.
2, 11, 17
What are the prime factors of 7100?
2, 5, 71
List the prime factors of 103995.
3, 5, 2311
What are the prime factors of 578?
2, 17
List the prime factors of 1930.
2, 5, 193
What are the prime factors of 928?
2, 29
What are the prime factors of 14657?
14657
List the prime factors of 505.
5, 101
What are the prime factors of 7076?
2, 29, 61
List the prime factors of 27827.
27827
List the prime factors of 8511.
3, 2837
List the prime factors of 23712.
2, 3, 13, 19
List the prime factors of 570.
2, 3, 5, 19
What are the prime factors of 1826?
2, 11, 83
What are the prime factors of 2930?
2, 5, 293
List the prime factors of 11369.
11369
List the prime factors of 340.
2, 5, 17
What are the prime factors of 1621?
1621
What are the prime factors of 61250?
2, 5, 7
List the prime factors of 5241.
3, 1747
List the prime factors of 989.
23, 43
What are the prime factors of 3218?
2, 1609
What are the prime factors of 21309?
3, 7103
List the prime factors of 2213.
2213
List the prime factors of 1371.
3, 457
What are the prime factors of 6248?
2, 11, 71
List the prime factors of 51268.
2, 7, 1831
List the prime factors of 1428.
2, 3, 7, 17
List the prime factors of 784.
2, 7
What are the prime factors of 271?
271
List the prime factors of 37823.
109, 347
What are the prime factors of 1329?
3, 443
What are the prime factors of 705?
3, 5, 47
What are the prime factors of 115?
5, 23
What are the prime factors of 4471?
17, 263
What are the prime factors of 2189?
11, 199
List the prime factors of 6795.
3, 5, 151
List the prime factors of 182194.
2, 91097
What are the prime factors of 444?
2, 3, 37
List the prime factors of 21048.
2, 3, 877
What are the prime factors of 1339?
13, 103
What are the prime factors of 1882?
2, 941
What are the prime factors of 5651?
5651
What are the prime factors of 7503?
3, 41, 61
What are th
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let v = -2 - d. Calculate the lowest common multiple of ((-10)/3)/(3/(-9)) and v.
10
Suppose -2*m = 3*m + 21045. Let r = m - -50425/12. What is the common denominator of 2 - (-1 - (-339)/(-18)) and r?
12
Suppose 0 = 2*q - 2*t + t - 3, -5*t = q - 18. What is the least common multiple of 36 and q?
36
What is the common denominator of 1*2 + (-553)/(-84) + -7 and -89/12?
12
Let s = -1/4 + 5/6. Calculate the common denominator of 113/6 and s.
12
Let r = -1890 - -30173/16. Let z = 810/7 + -6333/56. What is the common denominator of r and z?
16
Suppose 4*h = y - 0*y + 14, 1 = -4*y + 5*h. Suppose 4*l - 29 - 8 = -3*a, -l + 11 = -a. Calculate the least common multiple of l and y.
30
Let c(t) = t**3 + t**2 - 4. Let y(z) = z**2 - 7*z - 8. Let l be y(8). Let w be c(l). What is the smallest common multiple of (-6)/w - (-1)/2 and 1?
2
Calculate the common denominator of 164/14*(-54)/(-360) and -121/18.
630
What is the common denominator of 4/2*(1095/200 - 4) and 53/50?
100
Let v(t) = -31*t**2. Let s be v(-1). Let h = s + 15. Let f = -5 - h. Calculate the lowest common multiple of f and 9.
99
Let z be (2/(-32))/((-1)/138319). Let b = z + -8648. Let m = 177/139 + -23897/2502. Find the common denominator of m and b.
144
Let c = 23104 + -508203/22. Find the common denominator of (7/(-6))/((-8)/6) and c.
88
Let s(g) = -3*g + 3. Let p be s(7). What is the smallest common multiple of (-3)/((4 + -1)/p) and (-5)/(-1) - 3 - -16?
18
Let g = 349/36 + 50/9. Calculate the common denominator of g and -71/3.
12
Let j(w) = -w**3 - 4*w**2 + 5*w + 5. Let q be j(-5). Suppose -r - q = 4*r. What is the common denominator of -17/22 and ((-25)/(-22))/r - -2?
22
Suppose -213 = -10*a - 53. What is the smallest common multiple of 36 and a?
144
Calculate the lowest common multiple of ((-30)/(-4))/((-1)/(-2)) - -1 and 32.
32
Let s(v) = 2*v**2 - v + 2. Let x(h) = h**3 - h**2 + h. Let i(t) = -s(t) + x(t). What is the smallest common multiple of i(3) and -2*(-1)/1*3?
12
Find the common denominator of 113/10 and -4 - (1 - (-24)/(-9)).
30
Suppose 0 = -w - 4*w - 4*p + 7, -4*p + 12 = 0. Calculate the smallest common multiple of w/(-1*(-1)/(-8)) and 3.
24
Let o be (113/4)/((-2)/(-8)). Suppose 0 = 5*s + q + o, q - 35 = 2*s - 2*q. Let c = s - -36. What is the lowest common multiple of c and 8?
56
Let j(k) = k**2 + 6*k + 8. Calculate the lowest common multiple of 70 and j(-6).
280
Let y(d) = d**3 + 3*d**2 - 6*d - 2. Let v be y(-5). Let z = -13 - v. Calculate the lowest common multiple of z and 6.
18
Let s = -29 + 9. Let h = -19 - s. Calculate the lowest common multiple of h and 7.
7
Let y = 12647/8 - 1583. Let m = -35780808691991/5766 + 6205481894. Let i = -18/961 + m. Find the common denominator of i and y.
24
Let t(o) be the third derivative of o**5/60 - o**4/24 + 4*o**3/3 + o**2. Let r be t(7). Calculate the smallest common multiple of (-1)/4 + r/8 and 16.
48
Suppose -63 = 2*h - 237. Suppose 60 = -4*c - 156. Let p = c + h. Calculate the common denominator of p and -37.
1
Suppose 3*b - 4*g + 4 = 3, -2*g - 2 = -2*b. What is the lowest common multiple of b and -3 - (-3 + 1) - -5?
20
Let i = -33207/20 + 1660. Let f(b) = -2*b**2 + 3*b - 2. Let s be f(2). Calculate the common denominator of i and (-45)/(-8) - (5 + s).
40
What is the lowest common multiple of 46/10 + 54/(-90) and 14?
28
Let c = 3609 + -14349/4. Find the common denominator of 35/16 and c.
16
Suppose -26*y = -22*y - 84. What is the smallest common multiple of y and 21?
21
Let h = 1502 + -5969/4. Let d = 1443/4 - 339. Find the common denominator of h and d.
4
Suppose -20*x + 21 = -19*x. Find the common denominator of (-1)/(-20)*(111 - -2) and 6/x + (-2285)/770.
220
Let c be ((-4)/48)/(11967/2321526). Let i = 2/3989 - c. Find the common denominator of (1/(-2))/((-2)/(-17)) and i.
12
Let n(k) = -k**2 + 13*k + 2. What is the lowest common multiple of 14 and n(9)?
266
Suppose -3*h = 3*z - 15, -2*h - 2*h - 5*z + 19 = 0. What is the smallest common multiple of h and 4?
12
Let b(y) = -7*y + 2. Let f be b(-3). Suppose 2*h = -3*a + f, -4*h + 26 = -h - 4*a. What is the least common multiple of h and 14?
70
What is the common denominator of -21/2 and (-3)/6*2 - (-63)/351?
78
Suppose 8 = 3*d + 4*h + 1, 0 = 2*d + 5*h. What is the common denominator of 1 + ((-64)/(-9) - 0) and ((-21)/(-6))/(d/(-3))?
90
Let y(v) = v**3 + 8*v**2 + 7*v + 6. Let c(o) = o**2 + o + 3. Let s be c(0). Let n = -4 - s. Calculate the least common multiple of 2 and y(n).
6
Let j = -4 + 7. What is the lowest common multiple of 8/((-1)/3*-3) and 3/2*(j + 1)?
24
Suppose m + 3*m - z = 8, 0 = -2*m - 5*z - 18. Let p = 3 - m. Suppose 0 = 2*x - 0*x - 16. Calculate the lowest common multiple of x and p.
8
Let i = -1247/710 - -4/71. Find the common denominator of i and 65/9.
90
Suppose -3*n - 5*d + 73 = 0, -3*n - 3*d = -0*n - 63. What is the least common multiple of 12 and n?
48
Suppose -47 = -2*r + 3*v, -64 + 3 = -3*r - 5*v. Calculate the least common multiple of r and 8.
88
Let i = -122317017/3299 - -37077. Let o = -372751/19794 - i. Let j = -63817/6 - -10611. What is the common denominator of j and o?
6
Let l(i) = 29*i - 8. Let z be l(6). What is the common denominator of 103/6 and ((-2)/40)/(1/z)?
30
Calculate the smallest common multiple of 7 - ((-4 - -6) + 2) and 3.
3
Let f = 126 + -102. What is the lowest common multiple of 33 and f?
264
Calculate the common denominator of (-39)/12 - 1 - 0 and 101/10.
20
Let v = -5 - -2. What is the common denominator of ((-2)/8)/((-36)/(-904)) and v/4*(-85)/(-9)?
36
Suppose -2*l = 3*l - 40. Suppose -4 = -2*k + l. Suppose -3*x - j = -k*j - 35, 5*j = -3*x + 25. Calculate the least common multiple of x and 20.
20
Let y = 33 - 23. Let w = 24 - y. What is the smallest common multiple of 6 and w?
42
Suppose -r = 5*r - 12. Calculate the least common multiple of 0 - (-1)/((-3)/(-18)) and r.
6
Suppose -2 + 10 = 2*z + 4*j, -3*j = 3*z - 9. What is the smallest common multiple of z and 10?
10
Suppose -2*y - 19 + 7 = 0. Let g be y/(-21) + 7010/(-84). Let k = -70 - g. Find the common denominator of -83/20 and k.
60
Let k be 15/(-6) - (-1)/2. Find the common denominator of (37 - k)*3/(-12) and -46/3.
12
Let b = -2747 - 219. Let a = 4775077/10 - 480464. Let x = b - a. Find the common denominator of -30 and x.
10
Let v = 257 + -247. Suppose m = -0 + 9. What is the smallest common multiple of v and m?
90
Let b be (3 + 0/2)/1. Let r(j) = 2*j - 2. Let o be r(7). Suppose -2*s - o = -b*s. Calculate the least common multiple of 18 and s.
36
Suppose 3*s + 5*d + 19 = 0, -2*s + 2*d = 4*d + 6. What is the smallest common multiple of s and 22?
22
Let h(o) = o**2 - 12*o - 12. Let s be h(12). Let k = s - -20. What is the smallest common multiple of 18 and k?
72
Let i(c) be the third derivative of -7/24*c**4 - c**2 + 0*c + 0*c**3 + 0. Calculate the least common multiple of 7 and i(-1).
7
Let x be ((-6)/(-1640))/(2/(-2025)). Let b = x - 7/41. Find the common denominator of b and (2/(-4))/((-9)/94).
72
Let w = -22 + 34. Suppose l - 4*k + w = -8, 2*l + 92 = -5*k. What is the common denominator of (10/l)/(4/(-30)) and 83/20?
60
Let a(x) = x**3 - 4*x**2 + 6*x - 4. Let q be a(4). Find the common denominator of -87/26 and -2 + 22/q*-7.
130
Let t(m) = m - 4. Let s be t(6). Let d = s - 2. Suppose d = -5*i - 7 + 117. Calculate the least common multiple of i and 8.
88
Let s(g) = g**2 + g. Let d be s(2). What is the common denominator of (d/(-9))/(80/(-84)) and -3/7?
70
Suppose h = 4*r - 9, 3*r + 2 = 4*h - 1. Suppose -2*u + i - 6 = 5*i, 0 = -5*u - i + r. Calculate the smallest common multiple of u and 6.
6
Let h(m) = 2*m + 10. Calculate the lowest common multiple of h(4) and (4/(-10))/((-1)/45).
18
Let f = 25 + -23. What is the smallest common multiple of 6 and f?
6
Suppose j - 5 = 4. Calculate the lowest common multiple of (j/(-6))/((-12)/56) and 4.
28
Let a(z) be the second derivative of -z**5/20 + 2*z**4/3 + z**3/3 + 5*z**2/2 - 2*z. Let m be a(8). What is the common denominator of ((-6)/m)/(2/(-5)) and 79/4?
28
Let j = 7 - 1. Suppose 4 = 3*d - 26. What is the smallest common multiple of j and d?
30
Let z = -28 + 36. What is the lowest common multiple of z and 2?
8
Let t = -3 + 7. Suppose 5*b - b + t*c - 16 = 0, -5*c = -4*b + 7. Calculate the least common multiple of b and (-3)/2*2
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 162.
158
What is the remainder when 416 is divided by 21?
17
What is the remainder when 1584 is divided by 92?
20
Calculate the remainder when 205 is divided by 26.
23
Calculate the remainder when 24879 is divided by 16.
15
Calculate the remainder when 198 is divided by 29.
24
What is the remainder when 1899 is divided by 19?
18
Calculate the remainder when 55 is divided by 30.
25
Calculate the remainder when 100 is divided by 22.
12
What is the remainder when 450 is divided by 155?
140
Calculate the remainder when 226 is divided by 82.
62
Calculate the remainder when 8160 is divided by 154.
152
What is the remainder when 184 is divided by 9?
4
Calculate the remainder when 167 is divided by 51.
14
Calculate the remainder when 284 is divided by 95.
94
What is the remainder when 3238 is divided by 108?
106
Calculate the remainder when 4183 is divided by 27.
25
What is the remainder when 565 is divided by 30?
25
What is the remainder when 180 is divided by 136?
44
What is the remainder when 1917 is divided by 1910?
7
What is the remainder when 159 is divided by 23?
21
Calculate the remainder when 60 is divided by 28.
4
Calculate the remainder when 7404 is divided by 46.
44
What is the remainder when 1103 is divided by 137?
7
What is the remainder when 76 is divided by 52?
24
Calculate the remainder when 39865 is divided by 62.
61
What is the remainder when 1028 is divided by 311?
95
Calculate the remainder when 43 is divided by 22.
21
Calculate the remainder when 153 is divided by 14.
13
Calculate the remainder when 252 is divided by 50.
2
Calculate the remainder when 6057 is divided by 12.
9
What is the remainder when 122 is divided by 108?
14
What is the remainder when 197 is divided by 10?
7
Calculate the remainder when 33 is divided by 19.
14
What is the remainder when 594 is divided by 68?
50
What is the remainder when 1853 is divided by 143?
137
Calculate the remainder when 408 is divided by 105.
93
What is the remainder when 1338 is divided by 79?
74
What is the remainder when 434 is divided by 109?
107
What is the remainder when 317 is divided by 74?
21
Calculate the remainder when 978 is divided by 9.
6
Calculate the remainder when 376 is divided by 76.
72
What is the remainder when 1853 is divided by 58?
55
What is the remainder when 88 is divided by 59?
29
What is the remainder when 7258 is divided by 119?
118
What is the remainder when 212 is divided by 73?
66
What is the remainder when 68 is divided by 48?
20
What is the remainder when 191 is divided by 4?
3
Calculate the remainder when 1284 is divided by 143.
140
Calculate the remainder when 174 is divided by 26.
18
Calculate the remainder when 84 is divided by 34.
16
Calculate the remainder when 822 is divided by 121.
96
What is the remainder when 1828 is divided by 46?
34
Calculate the remainder when 304 is divided by 44.
40
Calculate the remainder when 1006 is divided by 84.
82
Calculate the remainder when 18 is divided by 8.
2
Calculate the remainder when 158 is divided by 34.
22
Calculate the remainder when 37 is divided by 21.
16
What is the remainder when 189 is divided by 151?
38
Calculate the remainder when 270 is divided by 137.
133
Calculate the remainder when 121 is divided by 110.
11
Calculate the remainder when 1144 is divided by 451.
242
What is the remainder when 3046 is divided by 92?
10
Calculate the remainder when 132 is divided by 5.
2
Calculate the remainder when 35 is divided by 6.
5
Calculate the remainder when 152 is divided by 42.
26
Calculate the remainder when 1546 is divided by 86.
84
What is the remainder when 127 is divided by 56?
15
Calculate the remainder when 455 is divided by 52.
39
Calculate the remainder when 211 is divided by 89.
33
What is the remainder when 818 is divided by 11?
4
Calculate the remainder when 32 is divided by 3.
2
What is the remainder when 189 is divided by 8?
5
What is the remainder when 9853 is divided by 34?
27
What is the remainder when 7405 is divided by 16?
13
Calculate the remainder when 904 is divided by 904.
0
What is the remainder when 252 is divided by 8?
4
Calculate the remainder when 385 is divided by 34.
11
What is the remainder when 3715 is divided by 925?
15
Calculate the remainder when 5887 is divided by 184.
183
What is the remainder when 642 is divided by 92?
90
Calculate the remainder when 132 is divided by 15.
12
Calculate the remainder when 1745 is divided by 348.
5
What is the remainder when 1726 is divided by 28?
18
Calculate the remainder when 35 is divided by 4.
3
What is the remainder when 355 is divided by 108?
31
Calculate the remainder when 7823 is divided by 174.
167
What is the remainder when 1169 is divided by 166?
7
What is the remainder when 1328 is divided by 3?
2
What is the remainder when 4757 is divided by 136?
133
Calculate the remainder when 1410 is divided by 142.
132
What is the remainder when 265 is divided by 30?
25
Calculate the remainder when 299 is divided by 43.
41
Calculate the remainder when 816 is divided by 757.
59
Calculate the remainder when 370 is divided by 118.
16
Calculate the remainder when 823 is divided by 103.
102
Calculate the remainder when 6597 is divided by 22.
19
What is the remainder when 532 is divided by 5?
2
Calculate the remainder when 1059 is divided by 178.
169
Calculate the remainder when 9262 is divided by 16.
14
Calculate the remainder when 236 is divided by 41.
31
What is the remainder when 86 is divided by 22?
20
What is the remainder when 88 is divided by 7?
4
Calculate the remainder when 1194 is divided by 288.
42
What is the remainder when 601 is divided by 88?
73
What is the remainder when 7808 is divided by 142?
140
What is the remainder when 2529 is divided by 180?
9
What is the remainder when 139 is divided by 22?
7
Calculate the remainder when 1594 is divided by 114.
112
What is the remainder when 35 is divided by 20?
15
Calculate the remainder when 492 is divided by 22.
8
Calculate the remainder when 13285 is divided by 44.
41
What is the remainder when 300 is divided by 78?
66
What is the remainder when 577 is divided by 112?
17
Calculate the remainder when 3419 is divided by 60.
59
Calculate the remainder when 35 is divided by 17.
1
What is the remainder when 533 is divided by 121?
49
Calculate the remainder when 614 is divided by 77.
75
What is the remainder when 1245 is divided by 14?
13
Calculate the remainder when 790 is divided by 259.
13
What is the remainder when 720 is divided by 150?
120
What is the remainder when 149 is divided by 10?
9
What is the remainder when 71 is divided by 8?
7
Calculate the remainder when 38 is divided by 21.
17
What is the remainder when 1989 is divided by 80?
69
Calculate the remainder when 2702 is divided by 90.
2
Calculate the remainder when 127 is divided by 32.
31
Calculate the remainder when 220 is divided by 57.
49
Calculate the remainder when 200 is divided by 1.
0
What is the remainder when 515 is divided by 74?
71
Calculate the remainder when 396 is divided by 30.
6
What is the remainder when 3401 is divided by 677?
16
Calculate the remainder when 479 is divided by 31.
14
Calculate the remainder when 866 is divided by 58.
54
Calculate the remainder when 319 is divided by 13.
7
What is the remainder when 130 is divided by 11?
9
Calculate the remainder when 180 is divided by 177.
3
What is the remainder when 84 is divided by 27?
3
What is the remainder when 915 is divided by 296?
27
What is the remainder when 1480 is divided by 1473?
7
What is the remainder when 647 is divided by 8?
7
What is the remainder when 1582 is divided by 13?
9
What is the remainder when 4407 is divided by 67?
52
Calculate the remainder when 331 is divided by 1.
0
What is the remainder when 507 is divided by 61?
19
What is the remainder when 476 is divided by 58?
12
Calculate the remainder when 2698 is divided by 75.
73
What is the remainder when 248 is divided by 133?
115
What is the remainder when 1239 is divided by 18?
15
What is the remainder when 1570 is divided by 184?
98
What is the remainder when 1025 is divided by 337?
14
What is the remainder when 2477 is divided by 118?
117
What is the remainder when 99 is divided by 17?
14
Calculate the remainder when 11920 is divided by 13.
12
What is the remai
|
{
"pile_set_name": "DM Mathematics"
}
|
t(2)) - sqrt(11))) + -1)**2.
11/9
Simplify (-4 + (((sqrt(4114) - 3*(-1*sqrt(4114) + sqrt(4114))) + sqrt(4114) + sqrt(4114))*-6)/((sqrt(288) - sqrt(288)*-3 - sqrt(288)) + sqrt(288)))*1.
-33*sqrt(17)/8 - 4
Simplify (-6*5*(sqrt(6000) + sqrt(6000) + sqrt(6000) + (sqrt(6000) - (sqrt(6000)*6 - sqrt(6000)) - sqrt(6000))))/(sqrt(768)*-3*2).
-25*sqrt(5)/2
Simplify -4 + ((4*(sqrt(187) - -4*-2*sqrt(187))*-3)/(-2*((sqrt(891) - 2*sqrt(891)*5) + sqrt(891))))**2.
257/144
Simplify (5*(sqrt(192) + 2)*6 + (sqrt(192) - (sqrt(192) - (-4 + sqrt(192)*-4 - sqrt(192))))*3)**2*-4.
-182016 - 46080*sqrt(3)
Simplify -5 + ((2*sqrt(2304))/(sqrt(36)/sqrt(3)*2) - (sqrt(168)/sqrt(7)*-3)/sqrt(8)*5).
-5 + 23*sqrt(3)
Simplify 4*((sqrt(1900) - (4 + sqrt(1900)*1)) + -2) + ((sqrt(152)*-4 + sqrt(152))*-2 - sqrt(152))/(5*sqrt(200)).
-24 + sqrt(19)/5
Simplify 0 + (4*3*((1*sqrt(24))/sqrt(2))/sqrt(6)*2)**2*-3.
-3456
Simplify (sqrt(12)/(sqrt(6)*-3) - (sqrt(72) + 1 + sqrt(72))) + 2 + (sqrt(162))**2 + (2*sqrt(2)*-5)**2.
-37*sqrt(2)/3 + 363
Simplify sqrt(204)/(sqrt(48)/sqrt(4)) + -1 + sqrt(612) + -1*(sqrt(51)/sqrt(3))**2 + -2 - (-2 + -6*((1 + sqrt(1377) - sqrt(1377)) + -4)).
-36 + 7*sqrt(17)
Simplify 6*(sqrt(2816) - (1*sqrt(2816) + -3)**2) - (2*sqrt(176)*5)/((sqrt(24)*2)/sqrt(6)).
-16950 + 662*sqrt(11)
Simplify -5*((2*sqrt(1700) + -4 + -3*(sqrt(1700) + -3))**2 - ((sqrt(1700) - (5 + 0 + sqrt(1700)))**2 + sqrt(1700) + sqrt(1700) + -3 + 0)).
-8515 + 600*sqrt(17)
Simplify 3 + (-1*(sqrt(1216) - (0 + sqrt(1216) + 4)))**2 + ((sqrt(1216)*1*-1 + 3)*5)**2.
-1200*sqrt(19) + 30644
Simplify (-5 + (-3 + 1 + (-5 + sqrt(288) + -5 - 5*(sqrt(288) + 5 + sqrt(288))))**2)*4.
31968*sqrt(2) + 98768
Simplify -3*(-3*(sqrt(104)/sqrt(72) - (sqrt(156)*-1 + sqrt(156) + sqrt(156))/sqrt(3))*5)**2.
-24375
Simplify (-4*(sqrt(196) + 6*sqrt(196)*1 + sqrt(196) + sqrt(196))*5)/((-2*(sqrt(49) + sqrt(441)))/(-1*sqrt(448))).
-360*sqrt(7)
Simplify ((sqrt(120)/(sqrt(54)/sqrt(9)*2))/(-5*-6*sqrt(324)))**2.
1/58320
Simplify 4 + (2*(sqrt(2736) + 2)**2*-3 - (-3 + sqrt(2736)*1 + 3)**2).
-19172 - 288*sqrt(19)
Simplify (sqrt(2156)*-4 - 3*sqrt(44)*3)/((sqrt(36) + (sqrt(1296)*1 - sqrt(1296)))*3).
-37*sqrt(11)/9
Simplify -3*(-2 + (-4 + (sqrt(1377) - (-1 + sqrt(1377))*-1 - sqrt(1377) - ((sqrt(1377) - (sqrt(1377) + -1))*-5 - sqrt(1377)))*2)**2).
-66138 - 864*sqrt(17)
Simplify ((sqrt(720) - (sqrt(720) - 3*-1*sqrt(720)))/(sqrt(24)/sqrt(2)*6))/(sqrt(84)/sqrt(63) - (sqrt(480)/sqrt(10))/sqrt(4)).
3*sqrt(5)/4
Simplify -4 + ((((sqrt(245) - (-4*sqrt(245) - sqrt(245)))*5 + sqrt(245) + sqrt(245))/sqrt(5))/((sqrt(756)*-4)/sqrt(3)))**2.
76/9
Simplify (6*(sqrt(153) - sqrt(153)*-1) + (sqrt(153) - -5*(sqrt(153) - (0 + sqrt(153)))) - (0 + 0 + sqrt(153))*2)**2 + 3.
18516
Simplify -5 + -2 + 2 + (sqrt(19) - (sqrt(19) - sqrt(304))) + (1*sqrt(152)*-4)/((sqrt(8) - sqrt(32))*-3).
-5 + 8*sqrt(19)/3
Simplify 3*((1 + sqrt(2299) + 2)*5 + 1) + 0 + -1.
47 + 165*sqrt(19)
Simplify (-1 + -4*(sqrt(304) + 0) + sqrt(304)*-2*-4)**2 + ((sqrt(19) + sqrt(304) + -3 - sqrt(19)) + sqrt(19) + 1 + sqrt(304) + sqrt(1900)*2*-5)**2.
332*sqrt(19) + 162208
Simplify -6*(1*(sqrt(720) + 2) + -1) + ((sqrt(720) + (2*sqrt(720))**2 + sqrt(720) - sqrt(720))*-6 - ((sqrt(720) - (2*sqrt(720) + 2)**2) + sqrt(720))).
-14402 - 72*sqrt(5)
Simplify ((sqrt(35) + (sqrt(35) - sqrt(175)/sqrt(5)) + sqrt(35))*-2)/(sqrt(14)/sqrt(2)*-5) + -2 + (sqrt(25)/sqrt(5)*4 - 5*(sqrt(10)/sqrt(2))**2).
-27 + 24*sqrt(5)/5
Simplify 4 + 2*(-3 + ((6*-2*sqrt(300) - (sqrt(300) + sqrt(300) + 5 + sqrt(300)*2)) + -5)**2) + -5.
6400*sqrt(3) + 153793
Simplify (sqrt(1216) + 0 + sqrt(95)/(1*sqrt(5)) + sqrt(19) + 3*(-5 + sqrt(1216) + (-4*sqrt(1216) - sqrt(1216))))*1.
-86*sqrt(19) - 15
Simplify ((3 + -2*sqrt(405)*-1 + sqrt(405) + -1 + (sqrt(405) + 1 - sqrt(405))*2)**2 + 4)*3.
648*sqrt(5) + 10995
Simplify (1 + ((sqrt(80) - (-3*sqrt(80) + sqrt(80))) + -1)**2 - (((-3*sqrt(275))/sqrt(11))/sqrt(5) + -4)) + 5.
-21*sqrt(5) + 731
Simplify ((sqrt(198) + sqrt(198) + -2*sqrt(198)*-1)/(1*sqrt(11)*-1))**2*5*6.
8640
Simplify (-3*(-1*sqrt(252) - sqrt(252)) - (sqrt(252) + 4*sqrt(252)*2 - sqrt(252)))/((-3*sqrt(144))/(sqrt(12)/(sqrt(3)*2))).
sqrt(7)/3
Simplify ((-3 + (sqrt(612)*2*-4 - 6*(sqrt(612) + -1)))*2*-2 + 3)**2 + 5.
-6048*sqrt(17) + 1919318
Simplify (-3*(sqrt(1100) + 1 + (1 + sqrt(891) - sqrt(891))) + 3 + 5)**2.
-120*sqrt(11) + 9904
Simplify (-2 + (-1 + sqrt(539))*-3 + 5 + (-5 + -1*sqrt(539) - (sqrt(539) + 1 + 0)))**2.
13475
Simplify ((-6*6*(-4 + sqrt(243)) - (sqrt(243) + 1 + 5 - (5*-2*sqrt(243) - sqrt(243))))*-5)**2.
-2980800*sqrt(3) + 14472900
Simplify (-6*1*sqrt(396) + (sqrt(396) + (sqrt(396) - sqrt(396)*1 - sqrt(396)) + sqrt(396))*3 + sqrt(396) + sqrt(396))/(sqrt(16)/(sqrt(192)/sqrt(3))*4)*-6.
18*sqrt(11)
Simplify 1 + ((sqrt(13) + -2 + 4)**2 - sqrt(26)/sqrt(2)*-2) + ((sqrt(117) + -5*(sqrt(117) + sqrt(117)*-1))/((-1*sqrt(54))/sqrt(6)))**2.
6*sqrt(13) + 31
Simplify (2 + sqrt(1377) + -4)**2 + 4 + (sqrt(357)/(sqrt(56)/sqrt(8)))/sqrt(3)*3.
-33*sqrt(17) + 1385
Simplify ((sqrt(68) - (-3 + sqrt(68) + sqrt(68) - sqrt(68)))*-1 + 5*-3*sqrt(68) - (5 + -3*sqrt(68) - (sqrt(68) + sqrt(68)*-3*-3)))**2.
64*sqrt(17) + 336
Simplify ((sqrt(210) - (1*sqrt(210) - sqrt(210))*6)/(sqrt(56)/sqrt(128)))/(-3*(1*sqrt(810) + sqrt(810) - sqrt(810))*2).
-2*sqrt(3)/27
Simplify (1*-1*sqrt(91)*2*-6)/(-1*sqrt(343) + (sqrt(28) - (sqrt(28) + sqrt(112)))).
-12*sqrt(13)/11
Simplify ((3*(-1*sqrt(432) - sqrt(432)) + 3 + sqrt(432)*-1)*-4)**2 + (-5 + -3*(-1*sqrt(432) + 2))**2 + 5.
-8856*sqrt(3) + 342846
Simplify -3 + ((-5 + sqrt(76) + sqrt(76))**2 + 2 - ((sqrt(76) - 1*sqrt(76)) + 0))*-6.
-1989 + 240*sqrt(19)
Simplify (-6*sqrt(56)*-3 + 3*2*sqrt(56))/((2*sqrt(1960) + sqrt(40))/(1*sqrt(5)*-4)).
-32*sqrt(7)/5
Simplify (-3*sqrt(2000) - (sqrt(1620)*1 + sqrt(20)))/(-4*(sqrt(3600) - sqrt(3600)*4 - sqrt(3600))).
-sqrt(5)/12
Simplify 1 + sqrt(33)/(sqrt(11) - 3*sqrt(1584)) + (sqrt(18)/sqrt(3))/sqrt(2) + -2 + sqrt(3) + -1 + -5.
-7 + 69*sqrt(3)/35
Simplify (-3 + (sqrt(275) - (sqrt(275) + (sqrt(275) - sqrt(275)*-1)*-1)) + -1 + (sqrt(88)/(sqrt(24)/sqrt(3)) - (sqrt(88) + 1*sqrt(88))/sqrt(8)))**2.
-72*sqrt(11) + 907
Simplify 5 + -3 + (sqrt(76) - (3*(-2*sqrt(76))**2 + sqrt(76))) + ((sqrt(76) - 1*sqrt(76) - sqrt(76)) + sqrt(76) + -4)*6.
-934
Simplify (4*(-4*(0 + 3*sqrt(320) + 1 + sqrt(320) + -5) + 0))**2.
-65536*sqrt(5) + 1314816
Simplify (5*((sqrt(1900) + (sqrt(1900) + -2 - sqrt(1900)) - (-5 + sqrt(19)*2)) + 2)*5)**2 + -3.
50000*sqrt(19) + 775622
Simplify (2*sqrt(1512))/(4*-2*sqrt(6)) + -4*(sqrt(28) + -1) + sqrt(28)/(2*sqrt(324)).
-85*sqrt(7)/9 + 4
Simplify (-3 + (-1*-3*sqrt(243) - sqrt(243) - (sqrt(243) - (sqrt(243) - (2 + 2 + sqrt(243)))) - 3*-6*5*-2*sqrt(243)))**2.
22554*sqrt(3) + 7786012
Simplify (sqrt(182)/(sqrt(7)*1) + (sqrt(182)*2)/sqrt(7))/(sqrt(16)/sqrt(128) + sqrt(32)*6)*2.
24*sqrt(13)/97
Simplify (((sqrt(187) - sqrt(187)*1)*-2 + (sqrt(187) + sqrt(187)*1)*-3)*-5)/(6*2*sqrt(275)*-2).
-sqrt(17)/4
Simplify -4*(-3 + 6*(-5 + 3*(sqrt(176) + 1) + (sqrt(176)*-1 + 2)*-4)**2).
-209364 + 13440*sqrt(11)
Simplify (((4*sqrt(605) + 2)**2 - 2*(sqrt(180) + -3)**2) + 2)*-3.
-27924 - 744*sqrt(5)
Simplify 6*3*-6*((sqrt(176)*2 + 4 - (-1 + 1 + sqrt(176))) + -5)**2.
-19116 + 864*sqrt(11)
Simplify sqrt(153)/(sqrt(27)/sqrt(3)) + sqrt(17) + (sqrt(17) - (4 + (sqrt(68)/sqrt(4))**2)) + ((4*sqrt(1088))**2 - (sqrt(17) + sqrt(833) + -2)).
-5*sqrt(17) + 17389
Simplify (-4 + (5*(sqrt(171) - sqrt(171)*2) - sqrt(171))/sqrt(9) + 5 + (0 + sqrt(1216) - (-3 + sqrt(76)) - sqrt(76)/(4*(sqrt(64) - sqrt(4)))))**2.
-2*sqrt(19)/3 + 2323/144
Simplify (4*sqrt(24)*1 + sqrt(24) - -5*sqrt(96))/(sqrt(392)*3*-4 + sqrt(392)) + 4.
-15*sqrt(3)/77 + 4
Simplify (4*(-4*sqrt(38)*-1 + (2*sqrt(152))/sqrt(4)))/(-6*sqrt(14)/((sqrt(112)/sqrt(4) + sqrt(28))/sqrt(4))).
-8*sqrt(19)
Simplify (((1*sqrt(99)*6 + (sqrt(99) - -4*(-1*sqrt(99) - sqrt(99))))*-4)/((sqrt(99) - (sqrt(99) - (sqrt(99)*2*-3 + sqrt(99))))/sqrt(11)*6))**2.
44/225
Simplify 4*(2 + ((sqrt(605)*2)**2 + -3)*-6*-6 + 1).
348060
Simplify -4 + -3*sqrt(208)*4*3 + ((-5 + 1*sqrt(208) - sqrt(208))*5)**2.
-144*sqrt(13) + 621
Simplify (-6*sqrt(63)/(sqrt(9) - -3*sqrt(576)))**2 - (-2 + (sqrt(252) - (sqrt(252) + -1))**2)*-2.
-998/625
Simplify 5*((5*(0 + sqrt(288)) + -3 + sqrt(288) + -1)**2 + 0 + -4)*6.
-17280*sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
d w.
14
Let h be 2 + (3 - (-1 - -12)). Calculate the common denominator of (39/(-12))/(h/(-8)) and 35/4.
12
Let y = -89 - -49. Let u = y + 62. What is the least common multiple of u and 10?
110
Let o(s) = -s**2 - s + 6. Suppose -5*i = 5*h - 30, 0 = -2*h - i - 2*i + 13. Suppose 0 = h*f - f. What is the lowest common multiple of 14 and o(f)?
42
Suppose 5*x + 5 = 3*n, -3*n + x - 21 = 2*n. What is the smallest common multiple of 22 and ((-8)/(-5))/(n/(-25))?
88
Let c(w) = -16*w**3 + w**2 + w. Let q be c(-1). Let j(g) = 2*g**2 + 2*g - 2. Calculate the lowest common multiple of q/4 - 2 - -10 and j(-4).
132
Let b = -14 + 5. Let y = b + 11. Calculate the least common multiple of 18 and 9*-2*(y + -3).
18
Let x(f) = -f - 1. Let g be x(-2). Let q = 10 - 9. Calculate the least common multiple of 1 and g - (1 + -1)*q.
1
Let n(s) = 3*s. Let z be n(1). Calculate the common denominator of 29/11 and (-248)/40 - -1*z.
55
Suppose -24 = -3*h - h. Calculate the smallest common multiple of 13 - -2*(-1)/(-2) and h.
42
Let i = -5 - -12. Let q(m) = 41*m**2 - 4*m + 5. Let g be q(i). Let x = g + -6022/3. Calculate the common denominator of x and 91/8.
24
Let x = 16713/5 + -3330. What is the common denominator of x and 97/8?
40
Let z = 10 + 2. Suppose 5*p = n + 14 + 7, 3*n - 2 = 2*p. Calculate the smallest common multiple of z and n.
12
Let c(r) = -4*r - 26. Calculate the least common multiple of ((-10)/(-4) + 0)*8 and c(-9).
20
Suppose -72 = -6*r + 2*r. Suppose -4*g + 10 = -2*s, -s - 3 = -g - 0. What is the least common multiple of 86/18 - (-4)/r and g?
10
Let t(x) be the third derivative of x**5/60 - x**4/24 - x**3/6 + 10*x**2. Calculate the common denominator of -7/11 and t(2).
11
Suppose -l + 113 = 4*l + j, 4*j - 100 = -4*l. Calculate the smallest common multiple of 7 and l.
154
Let h(q) = q**2 + 5*q - 1. Let m be h(-3). Let y = -3 - m. Calculate the common denominator of -51/10 and y/(-8) - (-178)/44.
110
Let d be 0/(-3) + -18 + 3. Calculate the least common multiple of 8 and d/(-20) + (-61)/(-4).
16
Let k = 15 - 29. Let f = k + 22. What is the smallest common multiple of 11 and f?
88
Suppose -12*v + 10*v + 60 = 0. What is the smallest common multiple of v and 33?
330
Suppose 4 = -3*r + 4*r. Let k(i) = i**3 - 3*i**2 - 2*i - 3. What is the lowest common multiple of 8 and k(r)?
40
Let q(y) = y**2 - 10*y - 11. Let k be q(9). Calculate the common denominator of 267/(-420) + 8/k and -75/4.
28
What is the lowest common multiple of (-7)/14 - 30/(-4) and 6?
42
Let y = 7 - -3. What is the smallest common multiple of y and (-3)/((5 + -2)/(-3))?
30
Suppose -3*c - 132 = c. Calculate the least common multiple of 9 and ((-3)/(-9))/((-1)/c).
99
Let s = -32 - -60. Suppose s = -4*o - 5*y - 33, -2*y + 44 = -2*o. What is the common denominator of (-2)/2 - o/5 and -28/9?
45
Suppose 0*c - 2*p = -2*c + 20, -3*c = -2*p - 30. Calculate the least common multiple of c and 14.
70
Suppose 2*j - 96 = -6*j. What is the smallest common multiple of 14 and j?
84
Suppose 131 = 5*a - 4*r - 100, 0 = 3*a - 3*r - 141. Find the common denominator of 0 - 59*1/8 and a.
8
Let n be (1 - (2 - 2))/1. What is the common denominator of (114/(-16))/n + 0 and -10/11?
88
Suppose 5*x + 5*m + 10 = 2*x, 0 = x + m. Suppose 4*d - x*g + 15 - 40 = 0, -2*g + 56 = 5*d. Calculate the lowest common multiple of 7 and d.
70
Calculate the lowest common multiple of -1 + (-4 - -7*3) and 6.
48
Let x(k) = -14*k. Calculate the least common multiple of x(-1) and 14.
14
Let a(u) = u**2 - 6*u + 9. Let h be a(6). Suppose 2*w = -3*l - 21, -5*l - 60 = -2*w - h. Let j = l + 23. Calculate the lowest common multiple of j and 14.
14
Let g be (-2)/(-13) - 48/(-26). Calculate the common denominator of 201/(-12) + g - 0 and 91/12.
12
What is the smallest common multiple of 2/(-7) + (558/42 - 5) and 2?
8
Let t(c) = c. Let v be t(-5). Let q(y) = -2*y - 7. Let s be q(v). What is the smallest common multiple of 2/s - 21/(-9) and 5?
15
Suppose -6*x = -4*x - 40. What is the least common multiple of x and 6?
60
Let c = -11964779/36 + 332380. Let z = -10181/428 - -4/107. Let l = z + c. Find the common denominator of l and 151/18.
18
Suppose 41 = -0*d + 4*d - h, 4*d = -3*h + 37. Let y be (-2)/3 - (-204)/9. Suppose -z - z = -y. Calculate the lowest common multiple of d and z.
110
Let a = 0 - 1. Suppose -270 = 9*v - 0*v. Calculate the common denominator of v and 25*(-2)/12*a.
6
What is the common denominator of 17*(-4)/18 + 0 and 25/11?
99
Let x be -44 + 2 + 0/(-4). Suppose 256 = 4*n - 0*n. Let t = n + x. What is the least common multiple of 10 and t?
110
Let o be -12*(-12)/9 - 2. Suppose -16 = -5*t + o. Calculate the smallest common multiple of 8 and t.
24
Suppose 9266 = 5*k + 2601. Let m = 4066/3 - k. Let u = 61097/12536 - -2/1567. What is the common denominator of m and u?
24
Let r = 78701041/8368 + -9405. Let m = 232207/41840 + r. Find the common denominator of 3 + 69/(-24) + (-1)/2 and m.
40
Suppose 10 - 8 = 2*p. What is the lowest common multiple of 10 and (3*(-3)/(-9))/p?
10
Let c(f) = 5 + 1 - 5 + 2*f**2 - f**2 + 8*f. Calculate the lowest common multiple of 16 and c(-9).
80
Suppose -2*k - 92 = -5*x, -23 = -x - k + 1. What is the smallest common multiple of x and 20?
20
Let m be (2 + (-20)/8)*0. Suppose -2*w - 2*w - 128 = m. Find the common denominator of -69/4 and w.
4
Let i = 223 + 168. Let v = 2339/6 - i. What is the common denominator of 119/10 and v?
30
Suppose -2*l = -3*l + 6. Let n = -102 + 114. What is the smallest common multiple of n and l?
12
Suppose 0*v + 2125 = -v. Let x = 14921/7 + v. What is the common denominator of x and 23/8?
56
Let q = 83 - 41. Calculate the least common multiple of q and 8.
168
Let k(c) be the first derivative of c**4/4 - 2*c**3/3 - c**2/2 + c + 3. Let y be k(2). What is the lowest common multiple of y + 2 + (-1 - -10) and 6?
30
Let b = -19 + 13. Let k = 14 - b. Calculate the least common multiple of 18 and k.
180
Suppose -69 = -7*w - 6. Suppose -2*h + 1 = 3*n - 13, 5*h - 3*n = -7. Suppose -r + h = -1. Calculate the smallest common multiple of r and w.
18
Let x(q) = -3*q + 5. Let u be x(2). Find the common denominator of -29/2 and (3 - (-37)/2) + u.
2
Let q = -4088 - -32753/8. Calculate the common denominator of 95/18 and q.
72
Let g = -5 + 9. Let c(u) = -u**3 + 6*u**2 + 5*u - 4. Let n be c(8). What is the smallest common multiple of (-2)/(-6) - n/12 and g?
8
Suppose -5*q + 16 = -4*w, 0*w + w + 15 = 4*q. Let g = 111/29 - -427/290. Find the common denominator of 1 + w - (-114)/(-4) and g.
10
Suppose -3*n + 16 - 1 = 0. Let m be (18/(-5))/((-2)/n). Calculate the common denominator of 166/(-6)*m/24 and -81/10.
40
Suppose 2*q = 2*o, 0*q + 4*q = 3*o + 4. Let z = 8 - o. Suppose 3*d = 5*f + d - 1, f + 3*d - 7 = 0. What is the least common multiple of f and z?
4
Let r = 28/19 + -346/209. Calculate the common denominator of r and -89/24.
264
Find the common denominator of -29/20 and (4/288)/(1/(294/(-4))).
240
Let z = -14 + 7. Let l be (16/6)/(z/21). Let g = 9 + l. What is the least common multiple of g and 11?
11
Suppose 3*p + 4*v = 5*p + 28, 2*v = -4*p - 16. Calculate the common denominator of (1/p)/((-6)/(-274)) and -19/20.
180
Let z = -2186/7 + 47637/154. Find the common denominator of z and -2 - (-1 - 3/(-16)).
176
Suppose -30 = -5*d + 3*n, 4*d + 2*n - 19 = 3*d. Let h = 29 - d. What is the least common multiple of h and 20?
20
Let w = -5 - -13. Let s be (3 - (-1 + 3)) + -7. What is the smallest common multiple of w and ((-8)/(-6))/((-2)/s)?
8
Let r = -358 - -7903/22. Find the common denominator of r and -93/14.
154
Suppose -r + 3*r - 2 = 0. Let l = 37 - 34. What is the smallest common multiple of r and l?
3
Find the common denominator of 2/(-15) - 116/(-45) and 5/4.
36
Suppose 3*m = -h + 6*m + 10, -5*h - 1 = 2*m. Let g = 6 + h. What is the lowest common multiple of g and 6?
42
Suppose 0 = -7*b + 146 + 85. What is the smallest common multiple of b and 18?
198
Let x = -31/10 - -3. What is the common denominator of -5*(7 + -2) + 1 and x?
10
Let f = 14 + -8. Calculate the smallest common multiple of 4 and f.
12
Suppose -x - 3 + 2 = 0. Suppose 3*b = 57 - 18. Let v = b - x. What is the smallest common multiple of v and 10?
70
Suppose 3*d - 30 = 8*d. What is the smallest common multiple of 6*(10/d - -3) and 6?
24
Let v(b)
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1953 and 84?
21
What is the highest common divisor of 325 and 1235?
65
Calculate the greatest common factor of 195 and 312.
39
Calculate the highest common factor of 2316 and 3.
3
Calculate the greatest common divisor of 31709 and 148.
37
What is the greatest common divisor of 784 and 184?
8
What is the greatest common factor of 33034 and 332?
166
What is the highest common factor of 2679 and 423?
141
Calculate the greatest common divisor of 21 and 1043.
7
Calculate the highest common factor of 153 and 1.
1
Calculate the highest common divisor of 19620 and 3.
3
Calculate the greatest common divisor of 490 and 50.
10
What is the highest common divisor of 456 and 48?
24
Calculate the highest common divisor of 24 and 1044.
12
Calculate the highest common divisor of 2390 and 120.
10
Calculate the greatest common factor of 589 and 31.
31
Calculate the greatest common factor of 1206 and 134.
134
What is the highest common divisor of 1085 and 868?
217
Calculate the highest common divisor of 101738 and 14.
14
Calculate the greatest common factor of 2077 and 31.
31
What is the highest common divisor of 1593 and 405?
27
What is the highest common factor of 93 and 372?
93
What is the greatest common factor of 26 and 26?
26
What is the greatest common factor of 24 and 456?
24
Calculate the highest common factor of 214 and 10379.
107
Calculate the greatest common divisor of 78 and 494.
26
Calculate the highest common factor of 15 and 27.
3
Calculate the highest common divisor of 64 and 512.
64
Calculate the highest common factor of 3357 and 45.
9
What is the highest common divisor of 5984 and 66?
22
What is the greatest common factor of 2907 and 114?
57
What is the greatest common divisor of 86 and 2?
2
What is the highest common factor of 40 and 6656?
8
Calculate the highest common factor of 341 and 407.
11
Calculate the greatest common divisor of 75 and 100.
25
Calculate the greatest common factor of 23 and 13.
1
What is the highest common factor of 3270 and 30?
30
Calculate the greatest common divisor of 515 and 50.
5
What is the greatest common divisor of 688 and 43?
43
Calculate the greatest common divisor of 210 and 75.
15
Calculate the highest common factor of 161 and 92.
23
What is the greatest common factor of 25 and 28300?
25
Calculate the greatest common divisor of 960 and 15.
15
What is the greatest common factor of 44 and 352?
44
Calculate the highest common divisor of 68 and 221.
17
What is the greatest common factor of 197 and 1?
1
What is the highest common divisor of 70 and 735?
35
Calculate the greatest common divisor of 7638 and 418.
38
What is the greatest common factor of 4 and 14?
2
Calculate the greatest common divisor of 114 and 190.
38
What is the highest common divisor of 170 and 34?
34
Calculate the highest common divisor of 718 and 2.
2
What is the highest common factor of 1272 and 1060?
212
What is the highest common divisor of 24 and 378?
6
What is the highest common factor of 1207 and 85?
17
What is the highest common factor of 245 and 1764?
49
Calculate the highest common divisor of 11685 and 1025.
205
Calculate the greatest common divisor of 413 and 7.
7
Calculate the greatest common divisor of 127 and 127.
127
What is the highest common divisor of 442 and 170?
34
What is the greatest common divisor of 12 and 11964?
12
Calculate the greatest common divisor of 310 and 31.
31
Calculate the greatest common divisor of 312 and 975.
39
Calculate the highest common divisor of 1853 and 51.
17
What is the greatest common factor of 49 and 28?
7
Calculate the highest common factor of 154 and 2134.
22
What is the highest common factor of 798 and 252?
42
What is the greatest common factor of 9950 and 3184?
398
What is the highest common factor of 66 and 12?
6
What is the highest common factor of 9979 and 17?
17
Calculate the highest common divisor of 8 and 128.
8
Calculate the greatest common divisor of 138 and 598.
46
What is the highest common factor of 5772 and 12?
12
What is the highest common factor of 36 and 1056?
12
What is the highest common factor of 20 and 28?
4
What is the greatest common factor of 1242 and 138?
138
What is the greatest common divisor of 15 and 30?
15
Calculate the greatest common divisor of 36 and 180.
36
Calculate the greatest common factor of 72 and 2088.
72
What is the highest common factor of 5321 and 313?
313
What is the greatest common divisor of 148 and 12?
4
Calculate the highest common divisor of 38 and 458.
2
What is the highest common divisor of 11 and 121?
11
What is the greatest common divisor of 112 and 1141?
7
Calculate the greatest common divisor of 4536 and 54.
54
What is the highest common divisor of 225 and 825?
75
What is the highest common factor of 1647 and 108?
27
Calculate the greatest common factor of 2501 and 41.
41
Calculate the highest common factor of 15 and 705.
15
Calculate the greatest common divisor of 2970 and 10.
10
What is the greatest common divisor of 198 and 6336?
198
What is the greatest common factor of 141 and 12?
3
Calculate the greatest common divisor of 192 and 60.
12
What is the highest common divisor of 128 and 208?
16
What is the greatest common factor of 46552 and 88?
88
What is the greatest common factor of 60 and 860?
20
Calculate the highest common factor of 171 and 1425.
57
Calculate the highest common factor of 901 and 51.
17
Calculate the greatest common factor of 1818 and 18.
18
Calculate the highest common factor of 1692 and 900.
36
What is the greatest common divisor of 6049 and 23?
23
Calculate the highest common factor of 230 and 92.
46
Calculate the greatest common divisor of 212 and 1166.
106
Calculate the greatest common divisor of 154 and 5544.
154
What is the highest common factor of 5529 and 57?
57
Calculate the greatest common divisor of 972 and 12.
12
What is the highest common divisor of 40608 and 32?
32
Calculate the highest common factor of 180 and 3810.
30
What is the greatest common factor of 4720 and 10?
10
What is the greatest common divisor of 45 and 315?
45
Calculate the highest common divisor of 12 and 480.
12
What is the highest common factor of 20 and 40?
20
Calculate the highest common factor of 32 and 794.
2
Calculate the greatest common divisor of 68 and 276.
4
What is the highest common divisor of 297 and 243?
27
Calculate the highest common divisor of 27 and 3726.
27
What is the highest common factor of 279 and 310?
31
What is the greatest common factor of 31 and 496?
31
Calculate the highest common divisor of 32 and 1328.
16
Calculate the highest common divisor of 1305 and 15.
15
Calculate the highest common divisor of 122 and 3965.
61
Calculate the highest common divisor of 200 and 8.
8
Calculate the greatest common divisor of 247 and 532.
19
What is the highest common divisor of 26 and 30?
2
Calculate the highest common divisor of 308 and 132.
44
What is the greatest common divisor of 2530 and 330?
110
What is the highest common factor of 52 and 65?
13
What is the highest common factor of 208 and 3354?
26
What is the highest common factor of 36 and 981?
9
What is the highest common divisor of 4498 and 1211?
173
Calculate the highest common factor of 200 and 760.
40
What is the greatest common factor of 392 and 168?
56
Calculate the greatest common factor of 36 and 18.
18
Calculate the greatest common divisor of 165 and 45.
15
What is the greatest common divisor of 125 and 10?
5
Calculate the highest common factor of 1215 and 54.
27
Calculate the greatest common divisor of 1737 and 9.
9
What is the greatest common factor of 244 and 2?
2
What is the highest common factor of 32 and 208?
16
What is the greatest common divisor of 1288 and 1656?
184
Calculate the greatest common factor of 90 and 14895.
45
Calculate the greatest common divisor of 246 and 21.
3
What is the highest common factor of 9 and 63?
9
Calculate the greatest common factor of 355 and 284.
71
Calculate the highest common factor of 6 and 3.
3
What is the highest common factor of 11033 and 68?
17
What is the greatest common factor of 20 and 20?
20
Calculate the greatest common divisor of 1120 and 28.
28
What is the greatest common divisor of 171 and 126?
9
Calculate the greatest common factor of 40 and 790.
10
Calculate the highest common factor of 413
|
{
"pile_set_name": "DM Mathematics"
}
|
2/i - -1069*3/j a multiple of 18?
False
Suppose -n = -2*z - 7782, 35493 - 4351 = 4*n - z. Is 17 a factor of n?
True
Let y = 18147 + 42444. Suppose 41*u + 16*u = y. Is 20 a factor of u?
False
Let v(k) = -k**2 + 10*k - 5. Let q be v(9). Suppose -3*c = -0*c + q*u - 1720, 0 = c - 2*u - 590. Is 8 a factor of c?
False
Let q(z) = -z**3 + 31*z**2 - 32*z - 5. Let b(i) = -10*i**2 + 11*i + 2. Let f(o) = 7*b(o) + 2*q(o). Is f(-8) a multiple of 24?
False
Suppose 0 = 6*a - 521 + 449. Is -8*(-12)/16 - a - -82 a multiple of 17?
False
Is (-2)/10 - (3828448/(-65))/16 a multiple of 157?
False
Let l(k) = -57*k**3 + 3*k**2 + 3. Let r be l(-2). Suppose 6*m + 66 = 876. Suppose m = -6*p + r. Does 12 divide p?
False
Let a(k) be the second derivative of 13*k**3/2 - 5*k**2 + 64*k + 1. Let h be 8/(-12)*-3 + 0. Is a(h) a multiple of 17?
True
Suppose 2 = -4*q + 18, z = -2*q + 10. Suppose l + 0*l + z = 0. Is 213 - (-4 - 2/l) a multiple of 36?
True
Does 12 divide (14/(-1))/(342/(-377055))?
False
Let w(s) = 3*s**2 + 6*s - 7. Let p(n) = 2*n**2 + 6*n - 6. Let t(j) = 4*p(j) - 3*w(j). Let d be t(4). Suppose -d*v + 8*v - 777 = 0. Is 33 a factor of v?
False
Let f(t) = -t**3 + 5*t**2 - 4*t + 4. Suppose 7 = -4*a + 23. Let s be f(a). Is (-240)/5*s/(-3) a multiple of 8?
True
Let g(h) = -h - 2. Let z be g(-4). Let d(t) = t**2 + 1. Let v(y) = -2*y**3 - 9*y**2. Let l(w) = z*d(w) + v(w). Is 3 a factor of l(-4)?
True
Suppose 25*j + 10318 = 39*j. Does 6 divide j?
False
Let w = 1365 + -771. Is 18 a factor of w?
True
Suppose -3*r = -4*g + 23, 5*g - r = 4*g + 7. Let k(b) = -g*b**3 - b**2 + 3 + b - 4 + 3. Is k(-2) a multiple of 5?
False
Let f(o) = 1137*o + 145 - 59 - 985*o. Is 36 a factor of f(3)?
False
Let d be 3 + (12/(-28) - (-113799)/49). Suppose -7*z + 2414 = -d. Is z a multiple of 7?
False
Let a = 10521 - 10008. Does 3 divide a?
True
Let n be 3/(-1) + -1 + (-1)/1. Let q(f) = -2*f**3 - 5*f**2 + 3*f. Is q(n) a multiple of 11?
True
Suppose -4*f = 4*l + 3204, -4*l + 4*f = 7*f + 3201. Let v = l - -1209. Is v a multiple of 14?
False
Suppose -35*s - 4*n = -30*s - 14313, -5715 = -2*s - 5*n. Is s a multiple of 5?
True
Suppose 21 - 1 = 4*h. Let p(b) = -2*b**3 + b + h*b**2 + b**3 - 10 - 4*b - 4*b**2. Is p(-4) a multiple of 12?
False
Suppose 0 = -0*h + 4*h - 2*z - 8, -2*h = 5*z - 28. Suppose h*w + 3*s - 619 - 41 = 0, 3*s - 165 = -w. Let k = w - -105. Does 27 divide k?
True
Let j(k) = 28 + 6*k - 7*k + 11*k - k**2 + 4*k. Let d be -15*4/(-30) + 11 + -1. Is j(d) a multiple of 10?
False
Let v = -274 - -305. Let u(i) = 7*i + 217. Is u(v) a multiple of 7?
True
Suppose -21 = -3*l + 3*h, -11*h = 5*l - 14*h - 35. Let r = l + 170. Does 24 divide r?
False
Let q(f) = 11*f**3 - 4*f**2 + 2*f - 2. Let t(x) = 2*x**3 + x. Let b(j) = q(j) - 5*t(j). Does 20 divide b(13)?
True
Suppose -4*t = 5*p + 1, -4*t = -p + t + 23. Let u(g) = 17*g - 8*g - 3*g + 7 + p*g. Is u(12) a multiple of 25?
False
Let o = -439 - -1069. Suppose -o + 234 = -6*r. Let u = 66 + r. Is 24 a factor of u?
False
Suppose 0*m = 5*h + 6*m - 103256, -3*h + 4*m = -61946. Is 25 a factor of h?
True
Let t(h) = h**2 + h - 15. Suppose -2*k - 6 - 14 = 0. Is 15 a factor of t(k)?
True
Suppose -14 = -3*i + 103. Let q be 6/i + (-345)/(-39). Is 13 - (3 + -1 + -9 + q) even?
False
Let d = 64490 + -38570. Is 162 a factor of d?
True
Suppose b + 0*u - 5*u - 52 = 0, 0 = -3*b + 5*u + 176. Let k be (0 - 6)*b/(-6). Let d = -32 + k. Does 14 divide d?
False
Let a = -63 + 66. Let l be (a - 1084/(-12))*144/28. Suppose -7*q + t + 960 = -3*q, 2*q = -t + l. Is 40 a factor of q?
True
Let h be 2/3 - (-80)/24. Suppose -h*k - 27 = 4*x + k, -5*x - 38 = 2*k. Let w(t) = t**2 + 5*t - 6. Is w(x) a multiple of 6?
True
Let u = -73 + 293. Suppose -138 = -z + u. Let g = z + -255. Does 21 divide g?
False
Let a(s) = -s**2 - 6*s - 6. Let l be a(-6). Suppose -22 = -r - 3*p, 4*p - 2*p = r - 2. Let q = r - l. Does 7 divide q?
False
Suppose -28 = -4*p - 4*y, 2*y = 2*p + y - 5. Let j(m) = 42*m**2 + 13*m - 16. Is j(p) a multiple of 9?
False
Suppose -19*t - 61159 = -265632 - 430887. Does 160 divide t?
True
Let n = -1449 - -8753. Is n a multiple of 11?
True
Suppose -3*m + 10 = -m. Suppose 52 = -4*v + 17*v. Suppose -z - 3*z = m*r - 225, v*r + 12 = 0. Is 6 a factor of z?
True
Let m = 42 - -150. Does 5 divide m?
False
Let d(f) = 32*f + 19. Let o(a) = 9*a + 116. Let b be o(-12). Is 10 a factor of d(b)?
False
Let r = -146 - -129. Let q be (3/1 + -2)/((-1)/r). Suppose q*n - 20*n + 3*u = -84, 4*n - 3*u - 107 = 0. Is 12 a factor of n?
False
Let z(w) = 2*w + 82. Let k be z(4). Is (-2)/9 + 37640/k a multiple of 38?
True
Let g = -65 - -64. Let c be 99 + -5 - (g + 0). Suppose 3*m + 14 = c. Is 9 a factor of m?
True
Suppose k = -5 + 10. Suppose 0 = -k*l + 13*l - 3120. Is 10 a factor of l?
True
Suppose 0 = -5*m + v + 107108, -379*v + 383*v + 32 = 0. Does 73 divide m?
False
Let a be (-2)/(((-4)/6)/(-1 + 7)). Suppose -a = -3*r - 0. Suppose -3*h = 3*c - 90, -4*c + r*h - 2*h = -120. Is c a multiple of 5?
True
Suppose 0 = -3*n - 3*p + 7326, -n - 2*p = -2844 + 399. Is n a multiple of 29?
False
Let f = -47 - -78. Let h = f - 27. Suppose -42 = -x + h*r - 9*r, 2*x - 2*r = 24. Is x a multiple of 10?
False
Let c(j) be the third derivative of 1/8*j**4 + 1/20*j**5 + 0*j + j**3 + 0 - 24*j**2. Does 18 divide c(6)?
False
Let x = -267 + 269. Suppose -4 = -4*m, -x*o + 480 = 5*m - 3*m. Is o a multiple of 8?
False
Let v(u) = 3*u**3 - 11*u**2 - 13*u - 42. Is 64 a factor of v(10)?
True
Let o = 14 + -48. Let v = o - -9. Let q = -3 - v. Is 12 a factor of q?
False
Let l(b) be the third derivative of -b**5/12 + 11*b**4/24 - 7*b**3/2 - 8*b**2 + 2*b. Let u be l(4). Let f = u - -237. Does 30 divide f?
True
Let m(p) = -9*p**3 - 2*p**2 - 4*p - 2. Suppose 5 + 31 = -12*d. Is 47 a factor of m(d)?
True
Suppose 2*s + 13397 - 3695 = 2*b, b - 4831 = -4*s. Does 22 divide b?
False
Let b(q) be the second derivative of 3*q**4 + 13*q**3/6 + 25*q**2/2 + q + 85. Does 61 divide b(-4)?
True
Let x = -41168 + 54278. Does 23 divide x?
True
Let k(l) = 14 + 9*l - 6*l - 4*l + 11. Let y be k(21). Suppose y*b - 25 = m - 2*m, -5*m + 209 = -b. Is m a multiple of 10?
False
Let j(d) = -16*d - 6. Let b be j(-2). Let p = 168 + b. Is 5 a factor of p?
False
Let k = -9034 - -12434. Does 25 divide k?
True
Suppose j + 2*u = -j - 5482, -4*u = 20. Let f = -1254 - j. Is 39 a factor of f?
True
Suppose 0 = -k - q - 1, 3*q - q = -3*k. Let s = -5567 - -5769. Suppose s = k*w - 98. Is 15 a factor of w?
True
Is 7 - 623/91 - 2144695/(-377) a multiple of 113?
False
Let n = 11252 - 9425. Is 15 a factor of n?
False
Let g be (-12)/6 - (-143 - (3 + 0)). Let b = 196 + g. Suppose 0 = -5*i + 5*f + b, 2*f + 208 = 6*i - 3*i. Does 9 divide i?
True
Let i(d) be the third derivative of d**5/60 - 5*d**4/8 - 2*d**3/3 + 25*d**2. Let o be i(11). Is (-32)/o - (-596)/6 a multiple of 20?
True
Let v(n) = 4*n**3 - 2*n**2 + 4*n + 3. Let k be 2*((-24)/(-10) - 46/115). Is 81 a factor of v(k)?
True
Does 10 divide (10676/(-238))/(5/(-280))?
False
Let i = 136 - 107. Let l = i + -25. Suppose l*s + 78 - 330 = 0. Does 3 divide s?
True
Suppose 3*v = v + 70. Let l = -1769 - -1769. Suppose -v = -l*i - i. Does 8 divide i?
False
Let w be 1030/18 + 10/(-45). Let l = w - 51. Let p(n) = 24*n + 12. Does 35 divide p(l)?
False
Suppose -33*b + 36*b - 27 = 0. Suppose 6*s - b*s = -306. Suppose -2*k = 2*y - s, 0*k = -2*k + 4*y + 132. Does 28 divide k?
True
Does 46 divide 180654/8 + 10 + 195/(-20)?
False
Let y be (-9)/(180/(-16))*5. Suppose -178 = y*w - 5378. Suppose 9*t - w = -t. Does 13 divide t?
True
Let k(h) = 18*h**2 + 13. Let w = 114 + -117. Does 5 divide k(w)?
True
Let f(u) = 226*u - 2008. Is 26 a factor of f(9)?
True
Suppose -2*w = 3*n - 67, n = 5*w + 5*n - 164. Let z be 2/(-8) - (-4)/(w/610). Suppose -5*t + 69 = -z. Is 5 a factor of t?
False
Suppose -5*k - 15 = -5*i, 5*k + 4*i = 10 - 34. Let w(s) = s**3 + 6*s**2 + 5*s + 2. Let f be w(-5). Does 28 divide -2 - (f - -180)*2/k?
False
Suppose -3*d = -82 + 79, -3*r - 137 = -2*d. Does 20 divide 120/r*10*(-324)/16?
True
Suppose 4*b - 45 = -0*t - t, -4*b - 80 = -4*t. Let x = 284 - t. Is 11 a factor of x?
False
Let t(y) = 5*y**2 - 133*y - 149. Is 18 a factor of t(30)?
False
Let m(v) = -v**2 + 5*v. Let p = 50 - 26. Suppose -5*f + p - 4 = 0. Is m(f) a multiple of 2?
True
Let w(q) = -47*q - 15 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g = -432527/30 - n. What is the common denominator of -74/35 and g?
210
Suppose -13*n = -6*n - 7. Let k = -108959/15848 - -1/3962. What is the common denominator of 9/((-11340)/4417) + n/5 and k?
72
Let k = 11533 - 11335. What is the lowest common multiple of k and 128?
12672
Let z = 7927 + -1415. Let w = -208309/32 + z. Calculate the common denominator of w and (-3)/(-5)*158/24.
160
Suppose 15978 = 111*d - 11994. Calculate the smallest common multiple of d and 108.
756
Let d = 164 + 291. Let c = -449 + d. What is the smallest common multiple of c and 1?
6
Let r(u) = 4*u + 3. Calculate the smallest common multiple of r(6) and (-366)/61 + 9*(2 - 0).
108
Let b be (-1)/((-3)/60*-5). What is the common denominator of 67/30 and (b/6)/(120/3348*9)?
30
Suppose 33*p - 3579 = 381. What is the lowest common multiple of 996 and p?
9960
Let o(z) = -22*z + 158. Let w = -77 - -117. What is the least common multiple of o(7) and w?
40
What is the common denominator of 921/90 + -9 + (-4 - -9) and 1 + 21/(-24)*14?
60
Suppose -2*r - 8 = -4*a - 22, -a - 21 = 3*r. Calculate the lowest common multiple of 24 and -4 + a/6*-46.
168
Let y(a) = 64*a - 44. What is the lowest common multiple of y(1) and 362?
3620
Calculate the common denominator of 26*(8 + 18339/(-2292)) and 31/2.
382
Find the common denominator of 61/48 and 1070/(-15)*(646/3280 + (-1)/5).
1968
Let c(n) = 3*n**2 + 3*n + 6. Let k be c(-3). Suppose 26*y - k*y = -3*g + 5, -5*y + g + 38 = 0. Calculate the least common multiple of 19 and y.
133
Suppose 5*v + 2318 = 4*k + 652, 2*k = -4*v - 1312. Let l = -1683 - -18525/11. Find the common denominator of l and (6 + 0)/(-2)*170/v.
11
Let w(k) = 14*k**2 + 40*k - 230. What is the least common multiple of 1904 and w(4)?
20944
Let j = -2/1361 + 85759/10888. Let p = 28043 + -53753/2. Let b = p + -1118. Calculate the common denominator of b and j.
8
Let g be ((-3)/6)/((-4)/(-8)). Let i be (-100)/20 + (40 - g). Suppose 5*f + 3*c = 2*f + i, 0 = 5*f - 2*c - 32. What is the lowest common multiple of 14 and f?
56
Let u = -1/43456 - 1498027/52364480. Calculate the common denominator of u and 42/2651.
26510
Let r = 11952325/172 + -69490. Calculate the common denominator of 55/216 and r.
9288
Let i = -11868929/8 - -1491887. Let b = 8281 - i. Find the common denominator of -39/8 and b.
8
Suppose -4*c = -g + 264, -28*c + 25*c = -12. Calculate the lowest common multiple of 800 and g.
5600
Suppose 3*l + 0*u + 10 = -5*u, 5*u = -l - 20. Calculate the smallest common multiple of (7 - (-1 - l)) + -1 and 15.
60
Find the common denominator of 8/85 and 2/3*((-18)/75)/((-1184)/40).
3145
Suppose -16*d - d + 1710 = 21*d. Calculate the least common multiple of d and 30.
90
Let f(y) = y**3 + 31*y**2 + 26*y + 118. Let j be f(-30). Suppose -i + 86 = -3*h, -h + j = 6*i - 3*i. What is the least common multiple of 8 and i?
80
Let k = -69 + 71. Let l be k*(-3 - 1 - -8). Suppose -l*f + 84 = -6*f. What is the least common multiple of f and 20?
420
Suppose 5*g + 105 = -6*w + 5*w, 3*g + 2*w + 63 = 0. What is the common denominator of (g - -27) + (-127)/8 and (1/(-2))/((-10)/54)?
40
Suppose 4*l - 2532 = -4*q, -5*q = -4*l + 1623 + 882. Calculate the lowest common multiple of l and 54.
1890
Let f = 967062241/200874648 - 106/66603. Let c = -151/29 + f. What is the common denominator of c and 81/88?
1144
Let b be 0 - -5 - (-16841)/(-3465). Let i = 22009/29610 + b. Calculate the common denominator of i and 47/4.
188
Let y be (-819835684)/4026 + (-60)/(-180). Let l = y + 203635. What is the common denominator of -34/7 and l?
4697
Let j be (-7 - -298)*(-2)/(-20). Let k = j - 152/5. What is the common denominator of k and -13/2?
10
Suppose 5*p - o - 3*o - 154 = 0, -3*p = -4*o - 86. Suppose 264 = -p*s + 38*s. Calculate the lowest common multiple of 54 and s.
594
Suppose 2115*s - 2096*s = 513. Calculate the lowest common multiple of 594 and s.
594
Let i = 16 - 12. Suppose 0 = i*d + 141 + 163. What is the common denominator of 57/4 and (-18)/(-4)*d/(-120)?
20
Find the common denominator of (220/50)/(74/195 + (-28)/(-182)) and 103/48254.
96508
Find the common denominator of 85/264 and (-1)/(-13) - (-459)/117 - 21214/5280.
2640
Suppose -989*w = -985*w - 4*c - 92, 2*w = -3*c + 41. What is the smallest common multiple of 85 and w?
1870
Let r = -4195/164 + 75/41. Let i = 243361/18 + -10340663/765. Let o = i - -380/51. What is the common denominator of o and r?
20
Let f(o) = -12*o + 0 + 2*o**3 + 19*o + 16*o**2 + 18 - 11*o. Calculate the least common multiple of 100 and f(-8).
100
What is the smallest common multiple of 78476/14 - ((-1)/8 + (-1798)/(-3248)) and 570?
33630
Let a be 0 - (-102 - (5 + -2)). Let q = a + -65. Suppose 264 = -11*u + 53*u - 1416. Calculate the smallest common multiple of q and u.
40
Let d = 42 + -43. Let x = 19 + d. Suppose 2*p - 6 = x. What is the smallest common multiple of p and 6?
12
Let t = -59/4 - 47/4. Let r = -15692 + 15724. Calculate the common denominator of r and t.
2
Let n be (6/18)/(2/(-30)). Let m be 4*(n*13738)/(-5). Let s = m + -3187121/58. Find the common denominator of -81/4 and s.
116
Calculate the least common multiple of (20 - ((-1 - 8) + 14)) + 9/(-3) and (-46)/(-4) + 3/6.
12
Let z = 284692 + -145193093/510. Calculate the common denominator of -46/15 and z.
510
Let p = -406 - -491. Suppose 3*b - p = 188. Calculate the smallest common multiple of 78 and b.
546
Let b(w) = 2*w**2 + 7*w + 14. Let q be (-1 + (-11)/(-5))/(12/(-40)). Calculate the smallest common multiple of b(q) and 12.
36
Let t be ((-2450)/(-172))/(-7) + 2. Let v = 64723337/11029758 - -13/85502. Let h = v + t. What is the common denominator of h and -44/25?
150
Suppose 0 = 4*m - 2*t - 34, -2*m - 4*t + 219 - 207 = 0. Calculate the smallest common multiple of m and 1933.
15464
Let v = 203294303/36 - 5647647. Let j = 586 + v. Calculate the common denominator of -17/18 and j.
36
Let z(s) = 157*s**2 - 2*s - 1. Let g be z(-2). Let w = -571 + g. What is the smallest common multiple of 66 and w?
660
Let r be (1 + 221)*(13 + (4 - 11)). Suppose 96*q = 87*q + r. Calculate the smallest common multiple of 8 and q.
296
Suppose -6 = d - 1, -4*a + 2*d = 3366. Calculate the common denominator of (-2)/(-9) + 265/(-2205) and a/(-20) + 4/(-20).
49
Suppose l = 5*r + 100, 5*r - 13 - 87 = -l. Let o(p) = -p**2 - 22*p - 85. Calculate the least common multiple of o(-15) and l.
100
Suppose -8*j = -4*j - 40. Let o = -1039 + 1295. Calculate the smallest common multiple of o and j.
1280
Let w = 32450 + -8761349/270. Find the common denominator of w and -187/270.
270
Let p = 14823 + -13743. Calculate the lowest common multiple of p and 2268.
22680
Let g(k) = 8*k**3 - 9*k**2 - 58*k + 219. Calculate the lowest common multiple of 110 and g(5).
3520
Let f = -301145833/53286 - -2/26643. Let l = f + 203491/36. What is the common denominator of -38/7 and l?
252
Suppose -50*g + 3870 + 13130 = 0. Calculate the lowest common multiple of 136 and g.
680
Let q be (-1 + 68/60)/((-112)/8376). Let l = 91/15 + q. Find the common denominator of 157/30 and l.
210
Let i = 108 + -105. Suppose -4*y + 0*k + i*k = -16, 0 = -k - 4. What is the least common multiple of 15 and y?
15
Let s be 4 + (36/45)/((-4)/10). Suppose 2*u - 71 = -s*d + 147, 0 = -2*u + 3*d + 243. Calculate the smallest common multiple of 22 and u.
1254
Let z = -14669/170360 + 110182777017/2896120. Let v = -38045 + z. Let p = v - 883/765. Calculate the common denominator of -85/8 and p.
72
Suppose 3*i - 256 = 4*z, 4*i + i = 5*z + 420. Let m(r) = 2*r**2 + 11*r - 2461. Calculate the smallest common multiple of i and m(33).
80
Let u = -13 - -14. Let w = -708637/26 + 27252. What is the common denominator of (822/(-324))/(u/(-3)) and w?
234
Let n = -132 - -913/6. Calculate the common denominator of (36/6885*9)/((-1)/(-5)) and n.
102
Let f(c) = 276*c - 1315. What is the lowest common multiple of 143 and f(5)?
715
Let n = 1607151/242 + -6641. What is the common denominator of n and 113/20?
2420
Suppose 5*w + 4*t = 44, w = 2*t + 7 - 1. What is the least common multiple of 1152 and w?
1152
Let o(a) = -85*a - 11. Suppose -2*p - 5*s + 52 = -18, 0 = -2*s + 12. Calculate the least common multiple of o(-9) and p.
7540
Suppose -327*o + 311*o = -22416. What is the least common multiple of 11 and o?
15411
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Suppose 15 = 6*y - 3. Let u be (-4 - (-6 + y)) + -473. Is (35/(-10))/(3/u) prime?
False
Let u be 0 - -6 - (-75 + -32). Let q = u + 416. Is q a prime number?
False
Let c(o) = -38 - 3*o + o - 3*o + 11. Let d be c(-6). Suppose -d*i + 250 = -197. Is i a composite number?
False
Let d be (-6)/39 - (-8659)/91. Let k = d - 90. Suppose -5*q = -3*z + 8340, -6*q = -5*z - k*q + 13922. Is z a composite number?
True
Suppose 0 = 4*f - 8, -2*t + 2*f - 98 = f. Let x = t + 355. Is x composite?
False
Let k(u) be the second derivative of 3*u**5/10 - 2*u**4/3 - 11*u**3/6 + 21*u**2/2 - 17*u. Let g be k(9). Is 0 - -3 - g/(-6) a prime number?
False
Let n = 31 - 26. Suppose n*t = 2*f + 329, -26*t + 28*t = 2*f + 128. Is t a composite number?
False
Is ((-99)/66)/((-18)/2909028) a prime number?
True
Let w = -21775 + 186254. Is w prime?
False
Suppose 5*g - 8*g - 4*g = 0. Suppose g = -8*u + 19*u - 1342. Is u a prime number?
False
Suppose -5*h = -4*h + 10*h - 57277. Is h prime?
False
Let s(w) = 2*w**2 - 3*w - 7*w**2 + 0*w + 6*w**2 + 2. Let g be s(4). Let m(t) = 41*t - 23. Is m(g) a prime number?
True
Suppose z + 5*r - 17052 = -2*z, 11370 = 2*z + 4*r. Suppose 0 = -2*g + x - 4, -4*x + 9 - 5 = -2*g. Is (g/(-1))/(18/z) a prime number?
True
Let s = 168 + -168. Suppose s = -32*a + 36*a - 12508. Is a a prime number?
False
Let j(d) = 5907*d**2 - 3*d - 7. Is j(-1) a prime number?
True
Suppose -1196 = -x - 5*m, 5*m - 10*m = -15. Suppose 6*k + x = 7*k. Is k prime?
True
Suppose 310*k = 138*k + 214251628. Is k a composite number?
False
Let a = 171 + -167. Suppose 0 = -5*i + 5*f + 33190, -i = -0*i - a*f - 6641. Is i a composite number?
False
Let a = -723 + 727. Suppose 4*p = -3*v + 83563, 0 = a*p + v - 30040 - 53513. Is p a composite number?
False
Let t(a) = 3429*a**2 + 152*a + 859. Is t(-6) prime?
False
Is (-607 + 11549)/(1 - (-6)/(-10)) a prime number?
False
Let h = -100554 - -177815. Is h composite?
False
Suppose p - 3*p + 4732 = 4*j, 4*j = 5*p - 11830. Let n = 17799 - p. Suppose -9*k = -21008 - n. Is k prime?
True
Suppose -18*l - 1078481 = -i - 15*l, -i = -2*l - 1078473. Is i prime?
False
Suppose -12 + 3 = -3*b. Suppose -4*k = 0, 2*c = b*k - 6*k + 17840. Let a = c + -5661. Is a a composite number?
False
Let y(v) = 5206*v**2 + 28 + 35*v - 43 - 19. Is y(1) a composite number?
True
Let k = 133 - 118. Let i be (-5056)/(-12) + (-20)/k. Suppose -15*r - i = -8235. Is r prime?
True
Suppose 317*a = 329*a - 751452. Is a a composite number?
True
Let a = 42 - 39. Suppose -z = a - 0. Is (-1795)/(-4 - (0 + z)) a composite number?
True
Let f be (-654)/(-14) - (-32)/112. Let g = f + -47. Suppose -h + 2*h - 691 = g. Is h a composite number?
False
Suppose -2*k - c + 199948 = 0, -4*k + 4*c - 199966 = -6*k. Is k composite?
False
Let p be 12/9 - (-6)/9. Suppose p*n - 10846 - 15948 = 0. Is n composite?
False
Is 44428 + 21 + -8 - 8/(-1) composite?
False
Is ((-2)/6)/((-12)/13404204*9) a composite number?
True
Let v(r) = -28*r**2 + 55*r - 53. Let z(q) = 29*q**2 - 55*q + 50. Let x(a) = 5*v(a) + 6*z(a). Is x(12) composite?
False
Let a(f) = -5*f - 21. Let y be a(-7). Suppose -y + 45 = 2*r - 5*h, -5*h = -r + 28. Is r/((-9)/(-6693)) + 3 composite?
True
Suppose -4*t - 1 = -v - 2, -2*v - 2 = 0. Suppose -g = 3, t*f + 3*g = f - 10178. Is f a composite number?
False
Let m be 8 - (1690*17)/5. Is (-1 - (m + 3)) + 15/5 a prime number?
True
Let z(x) = 66*x - 61. Let k(n) = 65*n - 59. Let v(i) = -4*k(i) + 3*z(i). Is v(-7) a composite number?
False
Suppose -3*k + 2*o + o = 0, 0 = -k + 5*o - 16. Let h be k/((-16)/9) - (-3)/12. Is (h/(-3))/((20/3495)/2) a composite number?
False
Suppose -4*g - 14852 = 5*b, 4*b + 11857 = 4*g + g. Let x = 4557 + b. Is x a composite number?
True
Let k be 1*-699*7/(-3). Suppose 0 = 4*t + 10*f - 14*f + 3000, 3*t = -f - 2266. Let h = k + t. Is h prime?
True
Suppose 4*r - 441 = z, -r + 53 = z - 51. Let b be r/(3 + 23/(-8)). Let f = -91 + b. Is f composite?
True
Let b(m) be the first derivative of 22*m**3/3 + 9*m**2/2 + 15*m + 244. Suppose -3*c = 6, 14 = p - 6*p + 3*c. Is b(p) prime?
True
Let p(k) = k**3 - 6*k**2 - k + 10. Let n be p(6). Suppose -4*v = n*d + 380, 98 = -d - v + 3*v. Let j = d + 449. Is j a prime number?
True
Suppose 0 = -3*a + 4*a - 1972. Is 4 + (-10)/5 + 2*a composite?
True
Suppose -2*m = 5*s + 53 - 20, -34 = 5*s + m. Let a be (-2)/s + (-133)/(-49). Suppose 307 = -a*h + 1060. Is h a composite number?
False
Let x(q) = 854*q**2 - 5*q + 5. Let i be x(1). Let n = i - 357. Is n a composite number?
True
Let j be ((-28)/35)/(4/(-2))*22865. Let o = j - 6225. Is o a composite number?
True
Suppose 7*z - 5*u - 823 = 5*z, 2*z + 5*u = 793. Suppose -b - 4*t + 151 = 0, 2*b - z = 3*t - 58. Suppose -4*y = -b - 557. Is y prime?
True
Is ((-563742)/(-8))/(-9)*-4 composite?
False
Let l(t) = -176212*t + 905. Is l(-2) prime?
True
Let j be 2/(-10) - (-14901)/5. Let l be (-1 - -4)/(5/(2 - -3)). Suppose -c - l*c = -j. Is c composite?
True
Let u(s) = -63*s**2 + 12 + 116*s**2 - 7. Is u(-6) a prime number?
True
Is (-230417)/(-2) - (-141)/(-94) a composite number?
True
Let t(o) = 3*o**2 + 19*o - 40. Let v(l) = 6*l**2 + 39*l - 81. Let q(j) = 7*t(j) - 3*v(j). Let x = 2512 + -2500. Is q(x) a prime number?
True
Let b(g) = -57*g**2 + 18*g - 34. Let i be b(10). Is i/(-4)*76/38 composite?
False
Suppose -228*u = -293*u + 1233115. Is u composite?
True
Suppose 177373 = 4*v - h, -4519 = -2*v - 4*h + 84145. Suppose 0 = -4*c + 142402 - v. Is c prime?
False
Let q(l) = 693*l - 3. Suppose 5*y + 3*c = 8*y - 33, -2*y + 23 = -3*c. Is q(y) prime?
False
Suppose -24929 + 9333 = -14*k. Let w be (-2 + 1)/((-2)/(-18)). Is (27/(-6))/w*k composite?
False
Suppose 0 = 421*b - 415*b - 219480. Suppose 29*j - 9*j = b. Is j a prime number?
False
Let r = 627 + -381. Suppose -114 = -9*h + r. Suppose 42*v - 4206 = h*v. Is v prime?
False
Let l = -28 + 31. Suppose -l*n = 11 - 44. Is 8/(-2) - (-5467)/n a prime number?
False
Suppose -13*g + 16883 + 2051 + 20157 = 0. Is g prime?
False
Let n be 33/3*(-931)/(-7). Suppose 0 = k - n + 384. Is k composite?
True
Let t(l) = 25*l + 27. Let z be (-2 + 3)*(9 + -3 + 0). Let o be t(z). Suppose -5*b - 2534 = -2*g, 2*b - 1072 = -g + o. Is g prime?
False
Let k be ((-29)/2 + -3)/((-4)/536). Suppose -5*v + k = 3*w, 0*v = 4*w - 4*v - 3148. Is w a prime number?
False
Suppose -9*u = 4*g - 7*u - 488770, 5*g - 610962 = -3*u. Suppose g = 10*p - 91117. Is p a composite number?
True
Suppose 0 = 4*v - 16, -6*q + 5*q = 4*v - 21. Suppose 3*g = 8*g + 5*u - 22675, -2*g + q*u = -9070. Is g a composite number?
True
Suppose -417 - 150 = d - 4*o, 0 = o - 5. Let i be 55/(-3) + 4/12. Is (d/1)/(9/i) a composite number?
True
Let b(s) = 82*s + 8. Let r(o) = o - 1. Let g(v) = -b(v) - 5*r(v). Suppose -174 = 67*w + 228. Is g(w) a composite number?
True
Let m(f) = -79*f - 105. Let q be m(31). Let o = 817 - q. Is o a composite number?
False
Is -8 - (-23176552)/32 - (-4)/(-16) a composite number?
False
Suppose -3*f = -3, -3*f = -6*l - 2*l + 156773. Is l composite?
False
Let i(a) = 6*a - 7 - 3 + 2*a**2 - 10 + 6. Let f be i(-6). Is f - (-2)/4*6 composite?
True
Let n = 1556 - 12226. Let h = n - -22215. Is h prime?
False
Suppose 15*h = 19*h + 31*h - 2566445. Is h a prime number?
True
Suppose -5*r - 13474 = -4*d, -5*d - r + 12387 + 4441 = 0. Suppose -2*a + d = 2*u - 7*a, 0 = -5*u - 4*a + 8382. Is u a composite number?
True
Suppose 16*h = -20*h - 21024. Let i = 1195 + h. Is i a prime number?
False
Let h = -857 + 864. Let y(a) = 157*a**2 + 40*a - 184. Is y(h) prime?
True
Let w(d) = 676*d + 791. Is w(12) prime?
False
Suppose -5*r - 3 = k, 0 = 3*k + 2*r - 2 - 15. Suppose -7 = 6*n - k. Is n/25 - 1*-146 composite?
True
Let q(f) = f + 9. Let z be q(-4). Let i be (z/(-15))/(3/(-18)). Suppose -c - i*p = -651, 1098 = -3*c + 2*p + 3011. Is c a composite number?
False
Let b(q) = 11705*q**2 + 77*q + 487. Is b(-9) composite?
True
Suppose -4*w = -x + 1661 + 1600, -5*x + 16380 = -5*w. Suppose -x = 131*s - 132*s. Is s prime?
False
Suppose -9180209 = 570*n - 715*n + 23001236. Is n a prime number?
True
Let p = 618163 + -421726. Is p a composite number?
True
Is (1 - 3)/(386/(-61903013)) composite?
False
Is 798/1330*(-295990)/(-6) composite?
False
Let v(w) = w**2 - 7*w - 61. Let j be v(17). Suppose 24168 = -85*a + j*a. Is a a prime number?
False
Is -5*(1745574/(-30
|
{
"pile_set_name": "DM Mathematics"
}
|
1/5, -0.0711
Sort 3, 2/77, 1.12, 0.1 in ascending order.
2/77, 0.1, 1.12, 3
Put 0, -898, -1, 5 in ascending order.
-898, -1, 0, 5
Sort 5, 0.2, 130, 0.3, 7.64 in decreasing order.
130, 7.64, 5, 0.3, 0.2
Sort -112791, -2, 7.
-112791, -2, 7
Sort -5, -30, 10, -23 in increasing order.
-30, -23, -5, 10
Put -4394, -2, 0.5, -9 in decreasing order.
0.5, -2, -9, -4394
Sort 3.5, 14, -0.4.
-0.4, 3.5, 14
Sort 14, -14, 9, 4.
-14, 4, 9, 14
Sort -12289, 2, -4, 0.5, -5 in decreasing order.
2, 0.5, -4, -5, -12289
Put 35, -70, -4 in increasing order.
-70, -4, 35
Sort 2, -3065, -888 in decreasing order.
2, -888, -3065
Put 3/32, -0.2, -3, -53.1 in increasing order.
-53.1, -3, -0.2, 3/32
Sort -1, 4/9, -82, 3, 2/21, -7.
-82, -7, -1, 2/21, 4/9, 3
Sort 1, -9, 2, -3, 5, 46.
-9, -3, 1, 2, 5, 46
Sort -703, -2, -4, 1, 4 in increasing order.
-703, -4, -2, 1, 4
Sort -2, 4, 115, 4/7, -0.1 in decreasing order.
115, 4, 4/7, -0.1, -2
Sort 1, 6, 2, 4273, 4 in ascending order.
1, 2, 4, 6, 4273
Sort 1, 10, -18, -128.
-128, -18, 1, 10
Sort 5, -7002, -1/5 in increasing order.
-7002, -1/5, 5
Sort -0.4, 50/7, 10, -1/12, 4 in decreasing order.
10, 50/7, 4, -1/12, -0.4
Sort -4, -0.4, 0.2, 1, -5, -218.
-218, -5, -4, -0.4, 0.2, 1
Sort -18, 1, 11.
-18, 1, 11
Put -2, -5, 184, 4, 7, -2/17 in descending order.
184, 7, 4, -2/17, -2, -5
Sort 123, 5, 2, 4, 1.
1, 2, 4, 5, 123
Sort 2/257, -3, 4/7, 1/12.
-3, 2/257, 1/12, 4/7
Put -8567, -3, -2, 5, -17 in descending order.
5, -2, -3, -17, -8567
Sort -10, 2, 32, 8, 3 in ascending order.
-10, 2, 3, 8, 32
Put -3, -21, 103.906, 4 in decreasing order.
103.906, 4, -3, -21
Put -5, -1/9, 846, 2/7 in increasing order.
-5, -1/9, 2/7, 846
Sort 725, -4/5, 1/26 in decreasing order.
725, 1/26, -4/5
Sort -0.02, -310, -5, -3, -1 in decreasing order.
-0.02, -1, -3, -5, -310
Sort -0.1, 49, -62 in decreasing order.
49, -0.1, -62
Sort -4, 388, -1.
-4, -1, 388
Sort 3, -2/13, -0.049, 3/53 in decreasing order.
3, 3/53, -0.049, -2/13
Sort -11, 1, -5, 9, 145.
-11, -5, 1, 9, 145
Sort 585, 46, -17.
-17, 46, 585
Put 1/7, -4, 233, 2/5, 4, 1/4 in decreasing order.
233, 4, 2/5, 1/4, 1/7, -4
Sort -0.5, 0.4, 0.11, 567.
-0.5, 0.11, 0.4, 567
Sort 156, -0.0447, -0.5, -5, 1 in increasing order.
-5, -0.5, -0.0447, 1, 156
Sort -4.9, 58, 0.4, 4 in decreasing order.
58, 4, 0.4, -4.9
Put 64474, 0, 6, -4 in decreasing order.
64474, 6, 0, -4
Sort -3, -2092, 25.
-2092, -3, 25
Sort -3, -2, 0.2, -4/5, 1.911, 1/9.
-3, -2, -4/5, 1/9, 0.2, 1.911
Sort -1, -79331, -9 in increasing order.
-79331, -9, -1
Sort 1/16, 1, 4, -1/31.
-1/31, 1/16, 1, 4
Sort -6, 4, 5074, 0 in descending order.
5074, 4, 0, -6
Sort -1, -76, -3/76 in decreasing order.
-3/76, -1, -76
Put -0.1, 0.2, 4091 in descending order.
4091, 0.2, -0.1
Put -38, 1, -2, -132 in descending order.
1, -2, -38, -132
Sort 33562, -5, 3.
-5, 3, 33562
Put 1, -7, 2, -200 in decreasing order.
2, 1, -7, -200
Sort -129, 5, -1/33 in ascending order.
-129, -1/33, 5
Sort -2, -4, -664, 3 in descending order.
3, -2, -4, -664
Put 6/7, -17, 0, 2/11, -3/8 in decreasing order.
6/7, 2/11, 0, -3/8, -17
Sort -0.021, 96, 4/5, 3, -0.4 in decreasing order.
96, 3, 4/5, -0.021, -0.4
Put 2, -1165, 1, -5, -1, 4 in increasing order.
-1165, -5, -1, 1, 2, 4
Sort 0.15, -0.2, 0.2, 9.46 in increasing order.
-0.2, 0.15, 0.2, 9.46
Sort 6036, -3, -0.5, -2/11, 3/4, 3.
-3, -0.5, -2/11, 3/4, 3, 6036
Sort 1.2, -0.1, -7, -2.
-7, -2, -0.1, 1.2
Sort 15, -3, 90.
-3, 15, 90
Put 1, -2, -1105, 2 in ascending order.
-1105, -2, 1, 2
Sort 8, -69, -4, -8, 4 in ascending order.
-69, -8, -4, 4, 8
Put -38, 440, 3/5 in increasing order.
-38, 3/5, 440
Sort -2/17, 23, -33/5, 5.
-33/5, -2/17, 5, 23
Sort -5, -6061, 2, -3 in descending order.
2, -3, -5, -6061
Sort 10659, 8, 1 in ascending order.
1, 8, 10659
Put -1, 1/2, -40, 0.29, 3 in increasing order.
-40, -1, 0.29, 1/2, 3
Sort -0.4, -0.5, 62.32, 0.1, -5, 4 in ascending order.
-5, -0.5, -0.4, 0.1, 4, 62.32
Put -24, -6, -3, -2, -1 in decreasing order.
-1, -2, -3, -6, -24
Put 5, 3, 201262 in ascending order.
3, 5, 201262
Put -1, -860, -4/11, -0.1 in increasing order.
-860, -1, -4/11, -0.1
Sort 127, -5, 129 in ascending order.
-5, 127, 129
Sort -1, -28, -67, 3 in descending order.
3, -1, -28, -67
Sort 12657, -11, 5 in descending order.
12657, 5, -11
Sort 91, 0, -4, 31, 1 in increasing order.
-4, 0, 1, 31, 91
Sort 3, -17, -22102.
-22102, -17, 3
Put -0.5, -5/6, 220, 3/5, 3, 158 in ascending order.
-5/6, -0.5, 3/5, 3, 158, 220
Put 4, 2, 13, 77 in increasing order.
2, 4, 13, 77
Sort -1, 1.7, 5, 3 in ascending order.
-1, 1.7, 3, 5
Put 81, 1, -41, 2, -1, 5 in ascending order.
-41, -1, 1, 2, 5, 81
Sort 3, -42, -5, 28, -25 in decreasing order.
28, 3, -5, -25, -42
Sort 2205, 5, -8 in ascending order.
-8, 5, 2205
Put 0.3, 2/189, 2, 0, -2, 18.6 in descending order.
18.6, 2, 0.3, 2/189, 0, -2
Put -3, -4/9, -2, 27 in descending order.
27, -4/9, -2, -3
Sort -1, -35, 1, -65 in increasing order.
-65, -35, -1, 1
Sort 137083, 0, 7 in decreasing order.
137083, 7, 0
Put -316, 2, 4208 in decreasing order.
4208, 2, -316
Put -3848, -60, -3 in increasing order.
-3848, -60, -3
Sort -5, -4, 3, 19664 in descending order.
19664, 3, -4, -5
Sort 3, 6, -6.422, 4, -1/4 in decreasing order.
6, 4, 3, -1/4, -6.422
Put 0.1, 2/9, 4, 137 in increasing order.
0.1, 2/9, 4, 137
Put -900, -1126, 0 in ascending order.
-1126, -900, 0
Sort -4, 13, -2, -133 in decreasing order.
13, -2, -4, -133
Sort -41, 1/5, -499 in ascending order.
-499, -41, 1/5
Sort 7, 4, -1, 1, 694.
-1, 1, 4, 7, 694
Sort 0, 829, 82.
0, 82, 829
Put 5, 407, 2.4, -14 in descending order.
407, 5, 2.4, -14
Sort 887, 131, 4 in decreasing order.
887, 131, 4
Sort -3, 941, 3, 5, -10, 0.
-10, -3, 0, 3, 5, 941
Put 1/128, 1/5, 2, -209/5 in increasing order.
-209/5, 1/128, 1/5, 2
Put 6, 1, -144, -26 in descending order.
6, 1, -26, -144
Sort 200, 2/11, 0.3, -1/8 in ascending order.
-1/8, 2/11, 0.3, 200
Sort -224, -1158, -3, -2.
-1158, -224, -3, -2
Sort 0.29, -33, -1/3, -0.087.
-33, -1/3, -0.087, 0.29
Sort 5, -1124, -10 in decreasing order.
5, -10, -1124
Sort -0.2, -0.3, 0.2, 6.1 in decreasing order.
6.1, 0.2, -0.2, -0.3
Sort -0.3, 102, 4/7, 5, -6, -33.
-33, -6, -0.3, 4/7, 5, 102
Sort -378, 4, -2 in descending order.
4, -2, -378
Put 1078, 0, -43, -3 in decreasing order.
1078, 0, -3, -43
Put 1/4, 0.5, -1, 0.06, 0, 1 in descending order.
1, 0.5, 1/4, 0.06, 0, -1
Sort 5, 2, -118.9 in decreasing order.
5, 2, -118.9
Put -3/5, -1/3, -0.8, -36, 0 in increasing order.
-36, -0.8, -3/5, -1/3, 0
Put 1, -4, 806, -18 in decreasing order.
806, 1, -4, -18
Sort -1, -3, 5, 383 in ascending order.
-3, -1, 5, 383
Sort -1, -36, -7, -1/16, -3 in decreasing order.
-1/16, -1, -3, -7, -36
Put 2/7, 7/2, -0.00852 in descending order.
7/2, 2/7, -0.00852
Put -16.48, -196, -5, -2/3, -2 in ascending order.
-196, -16.48, -5, -2, -2/3
Sort -3, 1/5, 1, -1/2, -1269, -5 in ascending order.
-1269, -5, -3, -1/2, 1/5, 1
Sort 1/2, 127.58, 2/63, -3 in decreasing order.
127.58, 1/2, 2/63, -3
Sort -1, 1/18, 0.1, 5, 1 in descending order.
5, 1, 0.1, 1/18, -1
Sort 3, 0.128, -4, 2, 0.8 in decreasing order.
3, 2, 0.8, 0.128, -4
Sort 0.4, 59, -3, -1901, -3/7.
-1901, -3, -3/7, 0.4, 59
Put 0, -16, -3, 3, -100, -3/2 in descending order.
3, 0, -3/2, -3, -16, -100
Put 4, -2/7, 3, -146, -1, -1/3 in decreasing order.
4, 3, -2/7, -1/3, -1, -146
Sort 1/13, 0.02, -2, 2/7, -28, -0.1.
-28, -2, -0.1, 0.02, 1/13, 2/7
Sort -0.4, 0.5, 0.4, 5, 2/11, 4474 in descending order.
4474, 5, 0.5, 0.4, 2/11, -0.4
Put -4, 0.2, -11874 in descending order.
0.2, -4, -11874
Put 7, -3/2, -5, 0.2, 6, -1/20 in decreasing order.
7, 6, 0.2, -1/20, -3/2, -5
Sort 113, -0.02, 9, -2, 3 in decreasing order.
113, 9, 3, -0.02, -2
Sort 5, -239, 3, 4, 54 in decreasing order.
54, 5, 4, 3, -239
Put -2/7, -184, -2, 4, 1/2, 0.03 in descending order.
4, 1/2, 0.03, -2/7, -2, -184
Sort 78/17, 2, -2/9, 4, 1/7, -0.3 in decreasing order.
78/17, 4, 2, 1/7, -2/9, -0.3
Sort 21, 0, -139 in increasing order.
-139, 0, 21
Sort 758, 14, -2, -4, 2.
-4, -2, 2, 14, 758
Sort 43, 2, 46 in increasing order.
2, 43, 46
Sort 2, -22, -4, -63, -1 in ascending order.
-63, -22, -4, -1, 2
Put -4, 0, -5, 193, -1, 3 in increasing order.
-5, -4, -1, 0, 3, 193
Put 2/7, 0.2, 5, -123, 2/9 in decreasing order.
5, 2/7, 2/9, 0.2, -123
Sort 4, -0.4, -10, -15, 1.4, -2 in incr
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of 813522?
1
What is the thousands digit of 157193?
7
What is the tens digit of 359461?
6
What is the ten thousands digit of 3453430?
5
What is the hundred thousands digit of 37638779?
6
What is the units digit of 17822866?
6
What is the thousands digit of 325676?
5
What is the thousands digit of 894796?
4
What is the tens digit of 153800?
0
What is the hundred thousands digit of 301288?
3
What is the tens digit of 3928843?
4
What is the units digit of 45210?
0
What is the units digit of 30824?
4
What is the ten thousands digit of 69808?
6
What is the ten thousands digit of 1153686?
5
What is the millions digit of 5684691?
5
What is the tens digit of 13750295?
9
What is the ten thousands digit of 286877?
8
What is the tens digit of 97453?
5
What is the thousands digit of 61883?
1
What is the millions digit of 1381404?
1
What is the units digit of 3381258?
8
What is the hundreds digit of 152586?
5
What is the thousands digit of 485839?
5
What is the tens digit of 2559300?
0
What is the units digit of 32670?
0
What is the ten thousands digit of 11950?
1
What is the ten thousands digit of 470408?
7
What is the millions digit of 2833873?
2
What is the units digit of 454413?
3
What is the millions digit of 1095195?
1
What is the thousands digit of 392015?
2
What is the units digit of 280668?
8
What is the ten thousands digit of 1745546?
4
What is the tens digit of 1589029?
2
What is the millions digit of 1716958?
1
What is the millions digit of 6649875?
6
What is the tens digit of 2388221?
2
What is the units digit of 534453?
3
What is the thousands digit of 813951?
3
What is the hundreds digit of 651631?
6
What is the thousands digit of 736939?
6
What is the millions digit of 3569044?
3
What is the tens digit of 17225835?
3
What is the units digit of 394642?
2
What is the millions digit of 4496617?
4
What is the ten thousands digit of 1504405?
0
What is the millions digit of 2819260?
2
What is the hundred thousands digit of 342203?
3
What is the tens digit of 423282?
8
What is the units digit of 962307?
7
What is the hundred thousands digit of 144109?
1
What is the hundreds digit of 83632?
6
What is the units digit of 1392280?
0
What is the hundreds digit of 196823?
8
What is the hundreds digit of 99238?
2
What is the units digit of 1548313?
3
What is the tens digit of 2109460?
6
What is the units digit of 6819970?
0
What is the hundreds digit of 736210?
2
What is the thousands digit of 1522947?
2
What is the tens digit of 18971745?
4
What is the thousands digit of 20256?
0
What is the tens digit of 5972732?
3
What is the tens digit of 19254?
5
What is the tens digit of 587923?
2
What is the ten thousands digit of 31805?
3
What is the tens digit of 4204416?
1
What is the millions digit of 8138128?
8
What is the tens digit of 4500438?
3
What is the hundred thousands digit of 274307?
2
What is the hundreds digit of 594866?
8
What is the tens digit of 21211220?
2
What is the units digit of 272463?
3
What is the hundred thousands digit of 192949?
1
What is the tens digit of 237147?
4
What is the thousands digit of 133503?
3
What is the tens digit of 475176?
7
What is the hundred thousands digit of 216939?
2
What is the millions digit of 1042121?
1
What is the thousands digit of 10093190?
3
What is the units digit of 429209?
9
What is the hundred thousands digit of 410382?
4
What is the tens digit of 3733642?
4
What is the thousands digit of 285252?
5
What is the hundred thousands digit of 14889723?
8
What is the hundreds digit of 2242514?
5
What is the units digit of 1711005?
5
What is the hundred thousands digit of 10288639?
2
What is the thousands digit of 26634752?
4
What is the ten millions digit of 11175932?
1
What is the units digit of 860966?
6
What is the hundreds digit of 268080?
0
What is the tens digit of 32717350?
5
What is the hundreds digit of 84350?
3
What is the millions digit of 9641237?
9
What is the hundreds digit of 66302?
3
What is the units digit of 14205?
5
What is the tens digit of 962821?
2
What is the tens digit of 769492?
9
What is the tens digit of 41611?
1
What is the hundreds digit of 299307?
3
What is the hundreds digit of 7659172?
1
What is the ten thousands digit of 112010?
1
What is the millions digit of 1064329?
1
What is the hundred thousands digit of 450675?
4
What is the tens digit of 1182892?
9
What is the tens digit of 15294817?
1
What is the units digit of 6227620?
0
What is the hundreds digit of 369117?
1
What is the hundred thousands digit of 12266888?
2
What is the thousands digit of 11941784?
1
What is the ten thousands digit of 15203946?
0
What is the hundreds digit of 57948?
9
What is the ten thousands digit of 960841?
6
What is the millions digit of 2591324?
2
What is the ten thousands digit of 22568035?
6
What is the hundreds digit of 543462?
4
What is the hundred thousands digit of 370438?
3
What is the tens digit of 97203?
0
What is the thousands digit of 1779046?
9
What is the hundred thousands digit of 1863373?
8
What is the thousands digit of 3880991?
0
What is the hundred thousands digit of 1202711?
2
What is the units digit of 20080316?
6
What is the ten thousands digit of 3894681?
9
What is the tens digit of 898482?
8
What is the thousands digit of 377170?
7
What is the tens digit of 1591883?
8
What is the hundreds digit of 67735?
7
What is the tens digit of 143742?
4
What is the hundred thousands digit of 10389981?
3
What is the thousands digit of 3656768?
6
What is the hundred thousands digit of 181555?
1
What is the hundreds digit of 839959?
9
What is the tens digit of 21808929?
2
What is the thousands digit of 116377?
6
What is the thousands digit of 8670238?
0
What is the units digit of 55634?
4
What is the ten millions digit of 10977959?
1
What is the thousands digit of 78557?
8
What is the hundreds digit of 4892467?
4
What is the ten thousands digit of 79618?
7
What is the ten millions digit of 29857205?
2
What is the hundred thousands digit of 3249950?
2
What is the tens digit of 52650?
5
What is the thousands digit of 6924439?
4
What is the ten thousands digit of 2822331?
2
What is the units digit of 10776603?
3
What is the ten millions digit of 26329067?
2
What is the ten millions digit of 10231945?
1
What is the hundred thousands digit of 7060620?
0
What is the tens digit of 11251344?
4
What is the units digit of 277187?
7
What is the ten thousands digit of 325165?
2
What is the thousands digit of 7052483?
2
What is the hundreds digit of 73611?
6
What is the hundreds digit of 51723?
7
What is the hundreds digit of 518666?
6
What is the thousands digit of 343018?
3
What is the hundreds digit of 5548039?
0
What is the thousands digit of 204791?
4
What is the hundreds digit of 328245?
2
What is the hundreds digit of 756379?
3
What is the hundred thousands digit of 478363?
4
What is the millions digit of 6100178?
6
What is the hundreds digit of 314216?
2
What is the units digit of 657098?
8
What is the tens digit of 146610?
1
What is the millions digit of 4461954?
4
What is the units digit of 50971?
1
What is the units digit of 85021?
1
What is the units digit of 10189153?
3
What is the units digit of 2139230?
0
What is the tens digit of 506738?
3
What is the tens digit of 291510?
1
What is the hundreds digit of 312703?
7
What is the units digit of 21256373?
3
What is the units digit of 252850?
0
What is the tens digit of 12033?
3
What is the ten thousands digit of 117280?
1
What is the tens digit of 142639?
3
What is the ten thousands digit of 194491?
9
What is the ten thousands digit of 7959282?
5
What is the hundreds digit of 1483162?
1
What is the hundred thousands digit of 625844?
6
What is the millions digit of 1475045?
1
What is the hundred thousands digit of 1941784?
9
What is the thousands digit of 1273764?
3
What is the tens digit of 3041026?
2
What is the hundred thousands digit of 7331303?
3
What is the hundreds digit of 73703?
7
What is the hundreds digit of 158026?
0
What is the tens digit of 2446171?
7
What is the ten thousands digit of 723616?
2
What is the thousands digit of 556601?
6
What is the hundred thousands digit of 10409163?
4
What is the tens digit of 1642835?
3
What is the thousands digit of 549741?
9
What is the tens digit of 6313803?
0
What is the t
|
{
"pile_set_name": "DM Mathematics"
}
|
) be the first derivative of -5*l**3/3 - 2*l**2 - 4*l - 10. Let a be u(-3). Let j = -23 - a. Is 7 a factor of j?
True
Suppose 4*y + 4*x - 92 = 4, 3*y - 44 = 4*x. Does 20 divide y?
True
Let d(z) be the first derivative of -z**7/840 + z**6/40 + z**5/10 + z**4/24 - 2*z**3/3 - 3. Let o(r) be the third derivative of d(r). Is 4 a factor of o(10)?
False
Suppose -4*o = -2972 - 240. Is 32 a factor of o?
False
Suppose 198 = -7*r + 30. Does 24 divide (-6*2)/(4/r)?
True
Let x be 1/((-15)/(-40))*15/4. Let l(f) = f + 6. Is 5 a factor of l(x)?
False
Suppose 0 = 19*f - 6257 + 1640. Is f a multiple of 9?
True
Let l(c) = -c**2 + 72*c - 119. Is 8 a factor of l(25)?
True
Let l = -38 - -37. Let f(w) = -28*w + 3. Is 4 a factor of f(l)?
False
Let p(t) = -t**3 - 5*t**2 + 6*t + 1. Let g be p(-6). Let j be 1*(4 + -2 - g). Suppose -3*a - j + 7 = 5*o, 22 = a - 5*o. Does 2 divide a?
False
Let u(w) = 7 - 1 - w**3 + 2*w - 15*w + 11*w**2. Let k be u(10). Let h = k - -28. Does 4 divide h?
True
Let m(s) = -3 + 80*s - 2 - 90*s - s**2. Let i be m(-9). Suppose -5*q = -2*x - 10, -5*x = 3*q - i*x - 17. Is q even?
True
Let b(j) = -14 + 2*j + 7*j - 10. Does 42 divide b(12)?
True
Let v(o) = -o**3 + 32*o**2 + 8*o - 109. Is 3 a factor of v(32)?
True
Let q = 246 - 406. Is 16 a factor of q/(-12)*12/5?
True
Let q(g) = -7 - 4*g + 0*g**3 - 8*g + 0*g - 12*g**2 - g**3. Let v be q(-11). Suppose -y = -v*o - 31, 101 = 4*y - 2*o - 37. Does 15 divide y?
False
Let t(o) = o**3 - 6*o**2 + 4*o - 3. Let r be t(4). Let c(s) = -s**3 - 6*s**2 - 5*s + 5. Let h be c(-6). Let z = r + h. Does 8 divide z?
True
Let v = -1129 + 624. Is 4 a factor of v/(-45) + 4/(-18)?
False
Suppose 15*l = -35 - 40. Let o(h) = -19*h - 43. Does 46 divide o(l)?
False
Let m = 37 - 51. Is 12 a factor of (188/(-28) - 1)*m/3?
True
Does 6 divide ((-378)/36)/((-4)/40)?
False
Let r(j) = -14*j - 6. Is 8 a factor of r(-23)?
False
Suppose u = 5*q - u - 60, 0 = -5*q + 4*u + 70. Let w be (-56 - (3 + 0))/(-1). Let z = w - q. Is 7 a factor of z?
True
Suppose 5*o = 2*q - 1426, -6*o + 2852 = 4*q - 5*o. Is q a multiple of 31?
True
Suppose 18*m = 60*m - 1260. Is 3 a factor of m?
True
Let g = 0 - -9. Does 18 divide 274/4 - g/(-6)?
False
Suppose 0 = -l + 3*h + 5, h + 38 = 5*l - h. Let z be 4/l + 27/2. Let j(r) = -r**3 + 14*r**2 + 5*r - 13. Is 19 a factor of j(z)?
True
Suppose -5*s - 5*f - 3 = 12, -3*s = -4*f + 23. Let z be (-860)/100 - 3/s. Does 4 divide z/(-2 - 6/(-4))?
True
Let a(w) = 3*w**3 + 2*w + 1. Let f be a(-1). Let r be f/12 - (-40)/12. Suppose -r = p - 2*p. Is 2 a factor of p?
False
Let q = 1220 + -53. Is 74 a factor of q?
False
Let v(q) = -6*q**2 - 29*q + 69. Let g(h) = -4*h**2 - 19*h + 46. Let d(f) = -8*g(f) + 5*v(f). Is 47 a factor of d(-14)?
False
Let s(m) = m**2 - 5*m - 34. Is s(18) a multiple of 50?
True
Let d be 366*2/(-1 + -1). Is (-9)/(-12) + d/(-24) a multiple of 8?
True
Suppose -1098*s = -1088*s - 700. Is s a multiple of 5?
True
Suppose 33*k = -39*k + 202608. Does 92 divide k?
False
Let y = 515 + -155. Is 21 a factor of y?
False
Let z = 59 + -54. Is (-34)/(z/(-10) + 0) a multiple of 5?
False
Let j = 32 - 64. Let b = -12 - j. Is 4 a factor of b?
True
Let u = 44 + -74. Let t = 34 + u. Let a(h) = 2*h**3 - 5*h**2 - h - 8. Is a(t) a multiple of 9?
True
Let j(f) be the second derivative of 17*f**4/12 + f**2 - 10*f. Is j(2) a multiple of 35?
True
Suppose 1 = -5*w - 4*x, 0 = -0*w + 4*w + 4*x + 4. Suppose -w*l - 2*u + 6 = 2*l, -5*l + 16 = -3*u. Suppose -o - l*o = -54. Is 9 a factor of o?
True
Is 577 + ((-18)/(-21))/(2/14) a multiple of 53?
True
Suppose -5*d - 2*i = 31, -19 = 5*d - 4*i + 2*i. Let y = d - -16. Suppose -f - y = -16. Is f a multiple of 4?
False
Let q(k) = k + 9. Let s be q(5). Let m be 4/s - 66/(-14). Suppose 3*o + 0*o = -m*v + 35, v = -5. Is 20 a factor of o?
True
Suppose 11*v = 8*v + 12. Suppose 2*d - 28 = 2*t + 48, 5*d - v*t - 187 = 0. Is d a multiple of 5?
True
Let f(t) = 22*t + 406. Does 16 divide f(-16)?
False
Let z = -2325 - -4066. Is 103 a factor of z?
False
Suppose -19*y + 3*y = -6976. Does 18 divide y?
False
Let y(p) = 32*p**3 - 2*p**2 + 2*p - 1. Let o(q) = -2*q - 3. Let u = 3 - 5. Let x be o(u). Is 21 a factor of y(x)?
False
Suppose -236 = 15*s - 17*s. Does 63 divide s?
False
Suppose 4*z + u - 662 - 428 = 0, -3*z = u - 817. Is 44 a factor of z?
False
Let p(q) = -q**3 - 18*q**2 + 4*q + 3. Suppose -c - 4*o - 3 = 0, -5*c - 4*o - 124 = -45. Does 28 divide p(c)?
False
Let m(p) = 3*p**2 + p + 1. Let g be m(-2). Let i(l) = 3 - l**2 - 2*l**2 + l**3 - 2*l**3 + 3*l + g*l**2. Is 19 a factor of i(8)?
False
Let f(l) = -2*l**3 + 2*l**2 + 3*l + 3. Let z = 17 - 16. Suppose 5*r = 2*a - 11, -r = z + 2. Is f(a) a multiple of 8?
False
Suppose -134 = -4*j + 302. Suppose 0 = 3*p + 6*b - b - j, 0 = -4*p - 2*b + 150. Is p a multiple of 19?
True
Let k(n) be the second derivative of 4*n**3/3 + 2*n**2 + 6*n. Is 9 a factor of k(4)?
True
Let d be 22/(-55) - 14/(-10). Let l(f) = f**3 - 11*f**2 + 9*f + 6. Let a be l(10). Is 10 a factor of -4 - a - -30*d?
True
Let n = 85 + -94. Let h = n - -144. Is 9 a factor of h?
True
Suppose -10*z + 4*z = 12. Is 250 - 3 - (z + 0 + -2) a multiple of 30?
False
Let c = -65 - -86. Suppose 0 = -c*k + 27*k - 288. Does 24 divide k?
True
Suppose -435 = 4*w - 1139. Suppose -2*v + 3*x + 156 = -0*x, -2*v - 2*x = -w. Is 14 a factor of v?
True
Let z(l) = l**2 + 8*l - 7. Let d be z(-8). Is 22 a factor of d + 9 - (-28 - 1)?
False
Let s = 37 + 14. Let v = s - 44. Is v a multiple of 3?
False
Suppose -4*u + 6 = -2*u. Let t(f) = -2*f + 3*f**2 + 251 - 246 + 3*f. Does 11 divide t(u)?
False
Suppose -3*r - 1 = 8. Is r - (-31*2 - 1) a multiple of 15?
True
Let l(v) = -80*v. Let u be l(-1). Let m = u + -62. Is 15 a factor of m?
False
Suppose 0 = 5*l - 8*l + 81. Is 2 + 373/3 + (-9)/l a multiple of 18?
True
Suppose 5*b + h = -18, 3*b - 4*b - 9 = 2*h. Let v be b/4*-4*-1. Is 13 a factor of v/15 + 393/15?
True
Suppose q + 602 = 2*q. Does 7 divide q?
True
Let t be 2/2*(-4 - -7). Suppose -3*a = w + 1, -t*a - 4*w - 3 - 1 = 0. Suppose u - 78 = 2*p, -3*u - 3*p + 6*p + 225 = a. Does 19 divide u?
False
Let r be 2/(-1)*86/(-4). Let k = r + -40. Is k a multiple of 3?
True
Let c(z) = -z**3 + 3*z**2 + 5*z + 3. Let r be c(4). Let o = 24 - r. Is 17 a factor of o?
True
Suppose -4*j + 90 = 2*c + 30, 5*c + 45 = 3*j. Suppose o - 5*y - 50 = 3*o, -o - 30 = 5*y. Is (-3 - 68/o)*j even?
True
Suppose 3*r + 2*o = 612, -r = -o - 296 + 87. Is 103 a factor of r?
True
Suppose -2*w + t + 679 = -623, -5*w + t = -3252. Does 50 divide w?
True
Is 10/(-10) - -721 - -7 a multiple of 56?
False
Suppose 4 = -r + 2. Let c be (r + 9)*8/14. Suppose -c*p + 332 = 92. Is p a multiple of 14?
False
Suppose 3*z + 70 = 5*s, 5*s - 10 = 4*z + 55. Let f be 6/3 + (-8)/(-1 - 3). Let m = s - f. Does 13 divide m?
True
Suppose 357 - 83 = 2*b. Suppose 2*f = b + 13. Is 15 a factor of f?
True
Let c be (96 - 65) + 1 + -1. Suppose 3*a = -2*l + a + 128, 3*l = 2*a + 197. Let q = l - c. Is 34 a factor of q?
True
Let s = -2397 - -5911. Does 55 divide s?
False
Let j(s) = s**3 - 4*s**2 + s - 2. Let o(z) = -z + 2. Suppose 12 = -4*n - 4*h, 2*n + 2*h - 9 = 5*n. Let v be o(n). Is 14 a factor of j(v)?
True
Let i(l) = l + 10. Let d be i(-10). Let f be (d + -1)/(6/(-198)). Let v = 56 - f. Does 9 divide v?
False
Suppose 3*q - 406 = d + 4*d, 0 = 5*q - 5*d - 690. Let f = q + -42. Is f a multiple of 29?
False
Let c = -298 + 741. Is 9 a factor of c?
False
Suppose -5*k = 4*q - 52, -4*k + 5*q - 7 = -3*k. Let n(h) = -h**2 + 15*h - 12. Is 11 a factor of n(k)?
True
Let w = -3 - -42. Let n = w - 79. Is 22 a factor of (n/15)/(4/(-66))?
True
Let u be -13 - -9 - -63*1. Let m = u - 4. Is m a multiple of 11?
True
Suppose 0 = -2*d + u + 3, 0*u + u = 3. Suppose k + d*k = 36. Is k a multiple of 4?
False
Let w = -27 - -31. Suppose v = -w*v + 95. Does 10 divide (-1 - (0 + -3)) + v?
False
Let m = -226 - -357. Suppose -5*w + m = -54. Is w a multiple of 8?
False
Let d be (-3 + 4)*1 - -1. Suppose -89 = -d*s - 2*x + 57, -2*x + 2 = 0. Is s a multiple of 9?
True
Let j = 1384 - 185. Is 109 a factor of j?
True
Suppose 2*x - 138 = -4*d, 5*d = 7*d - 4*x - 84. Does 3 divide d?
True
Let l(b) be the third derivative of 0*b + 7/24*b**4 - 3*b**2 + 0 - 1/6*b**3. Does 6 divide l(1)?
True
Suppose 0 = -4*p + 4*s + 28, 4*s + 10 = 134*p - 132*p. Is p a
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is five sixths of a hour in minutes?
50
What is one fifth of a litre in millilitres?
200
Convert 0.8371606 years to months.
10.0459272
How many kilograms are there in 8982.028ng?
0.000000008982028
How many millilitres are there in nine tenths of a litre?
900
How many milligrams are there in 3/40 of a gram?
75
What is thirty-one halves of a millennium in years?
15500
How many millilitres are there in thirteen quarters of a litre?
3250
How many centimeters are there in thirteen quarters of a meter?
325
What is fifteen quarters of a milligram in micrograms?
3750
What is 1/16 of a day in seconds?
5400
How many milligrams are there in 3.938233 tonnes?
3938233000
How many millilitres are there in 13/8 of a litre?
1625
What is 1/10 of a meter in centimeters?
10
What is 27/2 of a millennium in years?
13500
How many seconds are there in thirty-one fifths of a minute?
372
How many micrograms are there in 2.506343t?
2506343000000
How many nanograms are there in 139.676 kilograms?
139676000000000
What is one quarter of a kilogram in grams?
250
How many millilitres are there in fourty-five halves of a litre?
22500
How many micrograms are there in 0.3021189 kilograms?
302118900
How many millilitres are there in 2247.721l?
2247721
What is 0.1583746 millilitres in litres?
0.0001583746
How many micrometers are there in 8/25 of a millimeter?
320
How many millilitres are there in 91/4 of a litre?
22750
What is 7/4 of a micrometer in nanometers?
1750
How many months are there in seven thirds of a century?
2800
What is 1/5 of a kilometer in centimeters?
20000
Convert 2.877023 micrograms to tonnes.
0.000000000002877023
What is eleven eighths of a kilogram in grams?
1375
How many decades are there in 88.60993 centuries?
886.0993
How many grams are there in 21/5 of a kilogram?
4200
How many micrometers are there in 46/5 of a centimeter?
92000
How many millilitres are there in one tenth of a litre?
100
How many millilitres are there in 1/5 of a litre?
200
Convert 40.08587cm to millimeters.
400.8587
What is 7911.823ns in microseconds?
7.911823
What is 0.1479281ml in litres?
0.0001479281
How many millilitres are there in 934.5399 litres?
934539.9
Convert 661.1341um to meters.
0.0006611341
Convert 0.090621mg to micrograms.
90.621
How many micrograms are there in 3.585167 kilograms?
3585167000
What is seventeen quarters of a meter in centimeters?
425
How many micrometers are there in three fifths of a millimeter?
600
How many seconds are there in two ninths of a hour?
800
What is 1/4 of a gram in milligrams?
250
Convert 1864.132 millilitres to litres.
1.864132
How many microseconds are there in 37.43978 weeks?
22643578944000
How many months are there in fifty-nine thirds of a decade?
2360
What is 6/5 of a kilogram in grams?
1200
Convert 107.062mg to kilograms.
0.000107062
What is six fifths of a litre in millilitres?
1200
What is 1/5 of a litre in millilitres?
200
What is 181.7545 decades in millennia?
1.817545
What is five quarters of a decade in months?
150
What is 21/4 of a millennium in decades?
525
What is 9.114221um in nanometers?
9114.221
What is 536.754l in millilitres?
536754
Convert 1.076117mg to nanograms.
1076117
How many seconds are there in 6134.589 weeks?
3710199427.2
What is 57/2 of a week in hours?
4788
What is twenty-one halves of a tonne in kilograms?
10500
Convert 6.232986km to micrometers.
6232986000
How many millilitres are there in 3/50 of a litre?
60
Convert 753770.88 seconds to days.
8.7242
How many nanograms are there in twenty-seven halves of a microgram?
13500
What is 44209.03 years in centuries?
442.0903
What is 937603.9t in milligrams?
937603900000000
How many centuries are there in fourty-three halves of a millennium?
215
How many millimeters are there in 43/2 of a meter?
21500
How many nanograms are there in 40.38935 kilograms?
40389350000000
Convert 0.665287 micrometers to meters.
0.000000665287
Convert 3.942184 centuries to years.
394.2184
How many milligrams are there in 3/50 of a kilogram?
60000
What is 1/30 of a hour in minutes?
2
How many months are there in 6.025402 millennia?
72304.824
How many centimeters are there in 3/10 of a meter?
30
Convert 3965461.5 hours to weeks.
23603.9375
How many centimeters are there in 8.24698 kilometers?
824698
How many seconds are there in 49/6 of a minute?
490
How many nanograms are there in 3/8 of a microgram?
375
What is one fifth of a kilometer in centimeters?
20000
How many millilitres are there in eleven quarters of a litre?
2750
What is 95.53682 millilitres in litres?
0.09553682
How many nanograms are there in twenty-six fifths of a microgram?
5200
What is 6/5 of a centimeter in millimeters?
12
What is 29482.77 months in centuries?
24.568975
How many litres are there in 0.4558259 millilitres?
0.0004558259
How many months are there in twenty-three eighths of a century?
3450
What is 70268.98 millilitres in litres?
70.26898
What is one twentieth of a litre in millilitres?
50
How many kilograms are there in 668.306t?
668306
How many millimeters are there in 2/125 of a kilometer?
16000
How many litres are there in 499.1957 millilitres?
0.4991957
How many minutes are there in 7.192823 weeks?
72503.65584
What is one tenth of a litre in millilitres?
100
What is 3/50 of a meter in centimeters?
6
How many micrometers are there in fifteen quarters of a millimeter?
3750
What is 27/5 of a litre in millilitres?
5400
What is 37/2 of a kilogram in grams?
18500
How many millimeters are there in 3/10 of a meter?
300
What is 3/5 of a hour in minutes?
36
What is 33281.2nm in centimeters?
0.00332812
How many minutes are there in 1/4 of a hour?
15
What is 599.6611ml in litres?
0.5996611
What is eighteen fifths of a centimeter in millimeters?
36
How many millilitres are there in twenty-seven halves of a litre?
13500
Convert 47.78014ug to tonnes.
0.00000000004778014
What is one fifth of a day in seconds?
17280
What is 44/5 of a meter in millimeters?
8800
What is two sevenths of a week in days?
2
How many minutes are there in twenty-eight thirds of a hour?
560
How many centimeters are there in 15.68691nm?
0.000001568691
Convert 0.1936711t to milligrams.
193671100
What is 43064.49mm in micrometers?
43064490
Convert 5831.217 minutes to weeks.
0.57849375
How many seconds are there in 0.0618266 hours?
222.57576
What is 17/4 of a litre in millilitres?
4250
What is 3/25 of a tonne in kilograms?
120
What is eighty-five quarters of a milligram in micrograms?
21250
Convert 2931.754 minutes to nanoseconds.
175905240000000
What is 54/5 of a litre in millilitres?
10800
How many hours are there in 0.2210709 days?
5.3057016
What is 0.8307121 milligrams in tonnes?
0.0000000008307121
How many meters are there in 592652.7 centimeters?
5926.527
How many kilograms are there in seven halves of a tonne?
3500
Convert 0.7519829 centuries to decades.
7.519829
Convert 1340.5245 months to centuries.
1.11710375
How many millilitres are there in 86.23306l?
86233.06
What is 0.3304314 millennia in centuries?
3.304314
How many months are there in 1/4 of a century?
300
Convert 162.141 minutes to microseconds.
9728460000
What is twenty-nine sixths of a century in months?
5800
How many nanograms are there in 17/2 of a microgram?
8500
How many kilograms are there in eleven quarters of a tonne?
2750
How many grams are there in 4266.269ng?
0.000004266269
How many centimeters are there in 72.04653 meters?
7204.653
What is fifteen quarters of a litre in millilitres?
3750
What is twenty-nine fifths of a gram in milligrams?
5800
How many litres are there in 11.45012 millilitres?
0.01145012
What is 0.8269781 micrograms in nanograms?
826.9781
What is 340909.6 litres in millilitres?
340909600
How many meters are there in 0.044109 nanometers?
0.000000000044109
How many days are there in 18.49527 microseconds?
0.000000000214065625
What is one fifth of a litre in millilitres?
200
How many years are there in one fifth of a decade?
2
What is fifty-one halves of a millennium in centuries?
255
How many centuries are there in 78722.67 millennia?
787226.7
What is 73/5 of a gram in milligrams?
14600
What is three tenths of a millimeter in micrometers?
300
What is 1/20 of a tonne in kilograms?
50
How many years are there in 634965.7 decades?
6349657
How many mill
|
{
"pile_set_name": "DM Mathematics"
}
|
k) = 14*k - 1. Is h(r) a multiple of 18?
False
Suppose -36*l + 10*l = -14274. Is 61 a factor of l?
True
Let j(x) = x**2 - 4*x + 4. Let t be j(2). Suppose t*c + 6*c - 372 = 0. Is c a multiple of 7?
False
Suppose -18*i = -22*i. Suppose 5*o + 19 - 59 = i. Is 4 a factor of o?
True
Let f = 539 + -284. Is f even?
False
Let y(q) = q**2 + 17*q - 17. Let d be y(-20). Suppose d = -4*s + 5*s. Is 43 a factor of s?
True
Let q = -22 + 13. Let t be (24/18)/(2/q). Does 5 divide 9/6*(-20)/t?
True
Let s(f) = -f - 1. Suppose -4*b + 3*u + 5 = 0, u + 6 = -6*b + 3*b. Let o be s(b). Suppose 5*d - 138 = -2*p - 20, -2*p + 8 = o. Is d a multiple of 22?
True
Suppose 2*t + 68 = 4*v + 4*t, -2*v = -2*t - 46. Let n = v - 17. Suppose -15 = -n*j + 9. Is j a multiple of 10?
False
Let h = -225 - -255. Let m be (2 - 1)*-1*-2. Suppose -4*x = -5*n + 44, 3*n - h = x + m. Is 3 a factor of n?
True
Let z(c) = -c**3 - 4*c**2 + 3*c - 7. Let s be z(-5). Suppose 2*u - 52 = o, 8*u - 3*u - 132 = 2*o. Suppose s*k = 97 - u. Is 5 a factor of k?
False
Let y(v) = 22*v - 33. Is 33 a factor of y(6)?
True
Let y(h) = -h**2 + h + 36. Let z be y(0). Let n(t) = t. Let v be n(2). Suppose v*s - z = -12. Is s even?
True
Let n(o) be the first derivative of o**3 + 3*o**2 - 7*o - 6. Let h be n(-6). Suppose 2*c = z - 70, z - h = 4*c + 11. Does 16 divide z?
True
Let u = -35 + 80. Suppose 0 = -3*s + 4*v + 124 - 14, 3*v + u = s. Is s a multiple of 6?
True
Let g = -1020 + 1319. Does 6 divide g?
False
Let f = -73 + 124. Suppose 0 = -5*a + f + 279. Is 6 a factor of a?
True
Let b = 44 + -44. Suppose -4*o = h + 2*h - 3, b = -5*o + 2*h + 21. Does 3 divide o?
True
Is (-1)/(7/42) + (-2 - -312) a multiple of 9?
False
Let b be (10/1)/(26/(-13)). Let z(g) = -5*g - 3. Let h be z(b). Let x = h - -5. Is x a multiple of 9?
True
Let g be 2/12 + (-145)/(-30). Suppose -85 = -g*f - 3*u + 731, 5*f - 837 = 4*u. Does 33 divide f?
True
Suppose -3*t = -0*t + 3*d - 474, 0 = 5*t + 3*d - 788. Is t a multiple of 25?
False
Suppose -145*l - 156 = -133*l. Let m(q) = -q**2 - q - 1. Let z(w) = -w**3 - 10*w**2 + 13*w + 4. Let v(k) = 2*m(k) + z(k). Does 8 divide v(l)?
False
Let c(q) = 8*q**2 - q + 1. Let h = -9 - -11. Let o be c(h). Let m = 8 + o. Is m a multiple of 8?
False
Let t(z) = -15*z + 13. Let b be t(9). Let u = -27 - b. Does 19 divide u?
True
Let v = -89 - -89. Suppose 0 = -5*g - 25, 3*w + 5*g - 72 - 386 = v. Is w a multiple of 23?
True
Let h(k) be the second derivative of k**5/20 - k**4/2 - 5*k**3/6 - k**2 - k. Does 5 divide h(7)?
False
Suppose 21 = 4*b - z, -b = -3*b - 4*z + 24. Let n(o) = 3*o**2 - o - 5. Is n(b) a multiple of 28?
False
Let w(l) = 7*l**2 - l + 4. Let r = 24 + -19. Let v(h) = h**2 - 3*h - 8. Let u be v(r). Is w(u) a multiple of 15?
True
Let g = 2362 + -1621. Does 6 divide g?
False
Suppose -6*r = -2*r - 12. Suppose r*u = -0*u + 15. Suppose -7*h - 5*k = -2*h - 190, 5*h - u*k = 140. Does 11 divide h?
True
Let i be (18/(-8))/(138/(-368)). Let z(j) = -j + 2*j + 3*j. Does 12 divide z(i)?
True
Suppose -11 = -4*g - g + 2*l, 3*g + 3*l = 15. Suppose g*u - 64 = u. Let t = u - 18. Is t a multiple of 7?
True
Suppose -3*w - 14*f = -11*f - 1377, 5*w - 5*f - 2285 = 0. Does 24 divide w?
False
Let n = -85 + 247. Let v = n + -54. Is v a multiple of 40?
False
Suppose 0 = u - 5*h - 32, -u + 4*u = -h + 16. Suppose -5*n + u = -13. Suppose -5*t + n*k = -3 - 187, -t = k - 47. Does 21 divide t?
True
Suppose 0 = 4*v - 2812 - 548. Does 30 divide v?
True
Suppose 804 = -6*c + 198. Let a = 90 - c. Does 13 divide a?
False
Suppose -41*i + 27*i + 1428 = 0. Is i a multiple of 25?
False
Let g = 478 - 147. Suppose 149 = -o - g. Does 11 divide 4/6 - o/9?
False
Suppose 0 = -4*i - 2*k + 130, 0*k = -4*i - k + 133. Suppose 4*d - 5*d = -i. Is 4 a factor of d?
False
Let i(m) = 8*m**2 - 28*m + 32. Is i(9) a multiple of 23?
False
Let g(d) = -d**3 - 9*d**2 - 3*d + 3. Let q(t) = t. Let p(f) = g(f) - 4*q(f). Let z be p(-8). Let w = 11 + z. Is w a multiple of 6?
True
Let m(j) = -20*j + 30. Let q = -64 + 55. Does 12 divide m(q)?
False
Suppose 3*d + 4*j - 56 = -3, 0 = -d + 4*j - 9. Is 3 a factor of d?
False
Suppose -r = -2*m + 14, -r - 2*m = -3*m + 11. Suppose -4*n = -0*n - 32. Is 5 a factor of (-6)/n + (-126)/r?
True
Let l(a) = -4*a - 2. Let k be l(-7). Let v = k - -10. Is v a multiple of 31?
False
Let u(i) be the third derivative of -i**6/40 + i**5/15 + i**4/6 + i**3/3 + i**2. Let s be u(-2). Let f = 70 - s. Is f a multiple of 12?
True
Let p = 1783 - 1166. Is 19 a factor of p?
False
Is ((-36)/9)/((-3)/54) a multiple of 6?
True
Let b(l) = 2*l**2 + 7*l + 1. Let s be 0 + 7/(21/6). Let a be -10 + -1 + s + 2. Does 17 divide b(a)?
False
Let p be (9/3 + -6)*5/(-3). Suppose -4*n + s + 561 = 0, 5*n - p*s = -s + 704. Is 35 a factor of n?
True
Let m(d) = -2*d**2 - 53*d - 26. Let y be m(-23). Let i = y + -107. Is i a multiple of 9?
False
Does 3 divide ((-11 + 9)*-111)/(-2 - -4)?
True
Let d(o) be the second derivative of -6*o**3 - o**2/2 - o. Let f be d(-1). Suppose -5*w = -4*g - 30, f = 4*w - 0*g - g. Does 3 divide w?
False
Let q be (-36)/(-126) + 5626/7. Suppose -v - q = -5*v. Suppose 0 = 5*n + 3*a - v, -n + 4*a = -3*n + 86. Does 7 divide n?
False
Suppose -7*p = -13*p - 30. Let i = p - -29. Does 8 divide i?
True
Suppose 5*d - 143 = 3*v, -v - 32 = 2*d + 23. Let q = v - -99. Does 14 divide q?
False
Let n = 1324 + -826. Is 60 a factor of n?
False
Let v(n) = -24*n - 9. Let y(j) = 77*j - 78*j + 2 - 3. Let d(a) = 2*v(a) - 22*y(a). Is d(-2) a multiple of 14?
True
Let k(y) be the second derivative of 3*y**5/10 - y**4/6 - 5*y**3/6 + 6*y. Let p(i) be the second derivative of k(i). Is p(2) a multiple of 21?
False
Let s(j) = 2*j**2 - 5*j + 1. Suppose c = 3*c - 10, -20 = -5*o - c. Suppose -o*p = -7*p + 16. Is 13 a factor of s(p)?
True
Let y(m) = 2*m**2 + 9*m + 451. Does 58 divide y(0)?
False
Suppose 3 = -3*x, -2*m - 1 - 2 = -3*x. Let b be m/((4/8)/(-1)). Let g(t) = t**2 + 3*t - 9. Is 15 a factor of g(b)?
True
Let p be 18 + (-4 - (-4 - -2)). Suppose p = 5*m + 3*h, 4*m = 6*h - h - 2. Suppose 5*q - 4 = m*x, 5*x - 2*q - 22 = 10. Does 3 divide x?
False
Let l = 75 + -72. Suppose -147 = -l*x - 3*j, -4*x + 2*x + 2*j + 86 = 0. Does 13 divide x?
False
Suppose -3241 = -3*t - 4*t. Is t a multiple of 27?
False
Let r(b) = -10*b - 2 + b + 2*b**2 - 3. Let l(k) = 2*k**2 - 8*k - 4. Let v(a) = 5*l(a) - 4*r(a). Is v(3) a multiple of 2?
True
Let t be 12/5 + 4/(-10). Suppose 3*d + d + 3*v = -6, 8 = t*d - 4*v. Does 18 divide (d + 24)/((-22)/(-33))?
True
Suppose -876 = -7*m + 6*m. Is 13 a factor of (4/6)/(-2 + 1760/m)?
False
Let k be (1 - 48)/((-141)/72 + 2). Does 25 divide 8/(-6) - -1 - k/9?
True
Suppose -2*v = -5*v. Let c(n) = n - 3. Let g be c(v). Let r = 5 - g. Does 5 divide r?
False
Suppose -4*o - j = -10238, 2*j - 10240 = -32*o + 28*o. Is 67 a factor of o?
False
Let c be 27/(-2)*8/(-12). Is 7 a factor of (-54)/45*(-210)/c?
True
Let a = -1818 + 3191. Does 30 divide a?
False
Let g(c) = c**2 - 4*c - 10. Let y be g(5). Let m = 22 + y. Suppose -4*n + 55 + m = 0. Is n a multiple of 9?
True
Let n be 6/21 - (-261)/(-7). Let t be n/(15/4 + -4). Suppose 0 = -2*x + 4*x - 4*z - t, 3*x + 5*z = 189. Does 17 divide x?
True
Let s(u) = 1 - 4 - 6*u**2 + 4*u + 2*u + u**3. Let k be s(5). Suppose m + 5*q = 49, 62 = m + k*q + 10. Does 15 divide m?
False
Is 15 a factor of (0 + 843)*(-17)/(-51)*2?
False
Suppose 0 = -4*t + 2*c + 12, -4*c + 8 = t - 4. Suppose 787 = 4*p - g - 59, -t*p - 3*g = -838. Is 46 a factor of p?
False
Let d(l) = l**2 - 2*l + 7. Let w be d(-7). Suppose -9*f = -11*f + w. Is f a multiple of 7?
True
Let q(y) = -y - 4. Let l be q(6). Let w be 12/(-30) + (-4)/l. Suppose w = 19*i - 18*i - 19. Is 10 a factor of i?
False
Does 7 divide 1 + 468 + (-49)/(-7)?
True
Does 4 divide 3 + 86*(-3)/(-6)?
False
Suppose 4*l - 5*n = -2*n - 60, n = -4*l - 76. Let o be 4/l - 910/(-45). Suppose 0*h + o = 4*h. Is 3 a factor of h?
False
Does 15 divide 405/(-2)*(-24)/36?
True
Does 74 divide (-10841)/(-5) + (2 - (-77)/(-35))?
False
Suppose 21 + 51 = 2*a. Let f = 115 + -31. Let b = f - a. Does 12 divide b?
True
Let i = 11 + -7. Let o be i + -2 + 2 - 0. Suppose o*l - 59 - 73 = 0. Is 11 a factor of l?
True
Let q = 818 - 516. Is 8 a factor of q?
False
Suppose -2*x + 3*x = 2*z, -3*z + 3*x = 0. Does 5 divide ((-33)/(-4))/(6/16 + z)?
False
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Let v be x(-7). Let w = v + -3. What is the units digit of w?
3
Suppose -6 + 1 = 5*g. Let n(r) = r + 8. Let m be n(8). Let q = m + g. What is the units digit of q?
5
Let g = -42 + 85. Let s = g + -7. Suppose -2*o - s = -5*c, -2*c + 4*c - 26 = -5*o. What is the units digit of c?
8
Suppose 149 = 5*o + p + 12, -99 = -3*o + 5*p. What is the units digit of o?
8
Let k(z) = 77*z**3 + z - 2. What is the units digit of k(1)?
6
Suppose -3 = -0*p - p. Suppose 0 = -2*q + 6*q + 2*n - 28, -p*q = -5*n - 8. What is the units digit of -1 + (q - (1 + 1))?
3
Let j(z) = -z**3 - 4*z**2 + 4*z - 4. Suppose -12 = 2*u + g, 0*u - 5*u = -3*g + 19. What is the units digit of j(u)?
1
Let m(i) = i. Let u be m(-3). Let r(n) = 5*n**2 - 2*n - 7. What is the tens digit of r(u)?
4
Suppose 0 = -5*g - 3*y + 21, 2*g + 3*y = -g + 15. Suppose -g - 3 = -3*m. What is the units digit of m - (-6)/(-9)*-3?
4
What is the tens digit of 21351/63 - 4/(-42)?
3
Let u(y) be the second derivative of y**4/12 - 4*y**3/3 - 3*y**2 + 5*y. What is the tens digit of u(10)?
1
Let k(n) be the second derivative of n**4/12 - n**2/2 + 3*n. Let h(a) = 4*a**2 + 4*a. Let x(j) = -h(j) + 5*k(j). What is the units digit of x(6)?
7
Suppose 2*t + 0*t = -46. What is the units digit of (-2)/1*t - 2?
4
Let y = 98 + -81. What is the units digit of y?
7
Suppose 3*f = 2*b + 304, -4*f - 5*b - 114 + 527 = 0. What is the units digit of f?
2
Suppose 0 = 6*b - 5*b - 53. What is the units digit of b?
3
Let c(s) = s**3 - s**2 + 5*s + 4. What is the units digit of c(3)?
7
Let h(y) = 3*y - 1. Let g(s) = -s. Let d(j) = -2*g(j) - h(j). What is the units digit of d(-6)?
7
Suppose -15 = -3*x + 5*l, -2*x + 4*x = 4*l + 10. Suppose 4*n - 16 - 44 = 4*k, -15 = -x*k. Let u = n + -5. What is the units digit of u?
3
Let w(x) = x**3 - 2*x**2 + 2*x + 58. What is the tens digit of w(0)?
5
What is the tens digit of (-2)/(-5) - 4430/(-50)?
8
What is the units digit of (-475)/10*8/(-10)?
8
Let r = -76 - -124. Suppose -5*l + l + r = 0. What is the units digit of (l/(-9))/((-2)/9)?
6
Let u(o) = -o**2 + o - 1. Let x be u(2). What is the units digit of (-7)/(0/x - 1)?
7
Suppose -p = -b + 37, 0 = -b - p + 23 + 12. What is the units digit of b?
6
Let g = 6 + -1. Suppose -6*q = -g*q - 6. What is the units digit of q?
6
Suppose 930 = -14*r + 24*r. What is the units digit of r?
3
Let a(n) be the third derivative of n**6/120 + n**5/12 - n**4/12 - n**3/3 + 4*n**2. What is the tens digit of a(-3)?
2
Let l = -21 + 9. Let w = -1 - l. What is the tens digit of w?
1
Let s be (-2)/(0/(-2) - 2). Let w(o) = -2 - s + 8 - 1 + 4*o. What is the tens digit of w(3)?
1
Suppose -10 + 30 = -4*l, 0 = -3*j - l + 127. What is the units digit of j?
4
What is the units digit of -1 + -1 + (43 - -6)?
7
Let i(f) = 2*f**2 + 13*f + 10. Let l be i(-9). Suppose 5*a - l - 20 = 0. Suppose -5*n - y = -32, -2*y = 2*n + n - a. What is the units digit of n?
7
Let w = 215 - -15. What is the hundreds digit of w?
2
What is the tens digit of (-11764)/(-119) + (-6)/7?
9
Let v = 1 - 2. Let z = 0 + v. What is the units digit of ((-5)/2)/(z/2)?
5
Suppose 0 = 6*a - a + 4*p - 93, 2 = p. Let f = 32 - a. What is the tens digit of f?
1
Let u = 250 + -76. What is the hundreds digit of u?
1
Let q(s) = s**3 + 2*s**2 - s - 1. Let b be q(-1). Let p(i) = 26*i**2 + 1. What is the units digit of p(b)?
7
Suppose 0*f - 1532 = -4*f. What is the tens digit of f?
8
Let l be (3/(-2))/((-4)/8). Suppose -2*d + 8 = 3*n - 0, -l*n - 4*d = -10. What is the units digit of n?
2
Let s(a) = -5*a - 7. What is the units digit of s(-5)?
8
What is the tens digit of -2 - 1729/(-5) - (-12)/60?
4
Let c(w) = w**3 - w + 2. Let t be c(0). Suppose t*o + o - 5*p - 5 = 0, -3*o = -4*p - 10. What is the units digit of o?
0
Let x = -6 + 1. Let o(a) = -a**2 - 5*a + 4. What is the units digit of o(x)?
4
Suppose 3*a - 69 - 6 = 0. What is the units digit of a?
5
Let p(q) = -18*q**3 + q**2 + 2*q + 1. Let v be (-1 + -2)*2/6. Let h be p(v). What is the units digit of (h/15)/(3/10)?
4
Let n(p) = -p**3 - 2*p**2 + p - 3. Suppose -2*d + 5*d + 9 = -2*y, -2*y + d = -3. Suppose -4*s = 5*a + 12, -2*a + 0*a = y. What is the units digit of n(s)?
3
Suppose -76 = -3*c - 22. Suppose 2*s + 3*v = -0*s + c, 0 = -3*v - 6. What is the units digit of s?
2
What is the hundreds digit of (-1)/(-8) - (-9910)/80?
1
Let r be 2 - (-3 - (3 - 2)). Suppose 36 = -3*y + r*y. What is the tens digit of 224/y - (-2)/(-3)?
1
Let g = 11 + -2. What is the units digit of g?
9
Suppose 0 = -5*x - a, a = -3*x - 2*a - 12. What is the units digit of x?
1
Let s(c) be the third derivative of 2*c**2 + 0 + 1/6*c**3 + 0*c - 1/12*c**4. What is the tens digit of s(-5)?
1
Let d(q) = -21*q - 5. What is the tens digit of d(-3)?
5
Suppose 15 + 50 = 5*h. Let n be (-26)/(-6) + 2/(-6). Let w = h - n. What is the units digit of w?
9
Suppose 4*f + 3 = 3*f. Let i be (-103)/(-4) - f/12. Suppose -5*a - 15 = 0, -3*s + 5*a + i = -4. What is the units digit of s?
5
Let p = 3 - 5. Let u = 7 - 2. Let y = p + u. What is the units digit of y?
3
Suppose 0 = 3*x - 24 - 30. What is the units digit of x?
8
Let w be (-3 - -2)*(12 + 3). What is the units digit of (-4)/(4/3) - w?
2
Let j be (-6)/(-2)*1/3. Let i be (2 - -1) + (j - 0). What is the tens digit of (-2)/i*(-38 + 0)?
1
Let j = 107 - 66. What is the tens digit of j?
4
Let d(b) = 4*b - 1. Let f be d(1). Suppose 3 = 2*v - 4*q - 29, 4*v = -4*q + 16. Let r = v + f. What is the units digit of r?
1
Suppose 4*z = -104 + 288. What is the units digit of z?
6
Suppose -17 = -2*p - 5*u + 15, 2*p - 4*u = 32. Suppose p = 4*r, -r + 15 - 44 = -3*v. What is the tens digit of v?
1
Let i(c) be the second derivative of c**3/3 + c**2/2 + c. Let s be i(1). Suppose s*x + 5 = 4*x. What is the units digit of x?
5
Let l(m) = -4*m + 0*m**2 + m**2 - 2*m + 3. Let z be l(6). Suppose -b - 10 = -z*b. What is the units digit of b?
5
Let y(m) = m**2 - 5*m - 6. Let k be y(-5). Suppose -3*u + k = -2*v, -4*u + 37 = v - 40. What is the tens digit of u?
1
Let a be 0/(1 - -1) + 0. Suppose -3*z + 4*z - 5*u + 27 = 0, 2*z + 2*u + 18 = a. What is the units digit of (-4)/z - (-28)/6?
5
Suppose -1588 = -4*c + x, -5*c + 1985 = x - 0*x. What is the tens digit of c?
9
Let o be (2/(-6))/((-3)/27). Let z(n) = -4 + n + 4*n + n. What is the tens digit of z(o)?
1
Suppose k - 280 = -4*p - k, -4*p - 5*k = -292. Suppose 23 - p = -5*j. What is the units digit of j?
9
Let y(b) be the second derivative of b**3/6 + 3*b**2/2 - b. Suppose -15 = 5*k - 55. What is the units digit of y(k)?
1
Suppose -4*s = -7*s + x - 93, -4*s - 2*x - 114 = 0. Let c = s - -43. What is the tens digit of c?
1
Let x be (11 + -2)*7/(-21). Let n(r) = -2*r**3 - 3*r**2 + 3*r - 2. What is the tens digit of n(x)?
1
Suppose 14 - 55 = -i. Suppose 0 = 4*y - 3*y - i. What is the units digit of y?
1
Suppose 0 = -3*o - 2*n + 314, -3*n + 42 = 2*o - 164. What is the tens digit of o?
0
What is the tens digit of 2/(-4)*(2 + -303 + -1)?
5
Let d be -2 + (116 - -4) + 1. Suppose -37 = -3*c + d. What is the tens digit of c?
5
Suppose -18*s = -20*s + 16. Suppose 0 = 4*f - 24 - 4. Suppose 3*y + s = f*y. What is the units digit of y?
2
Suppose -10 = -2*s - 2*h, 7 = 2*s - 0*h + h. What is the units digit of 4/6*(1 + s)?
2
Let q = -17 + 22. What is the units digit of q?
5
Let r be (-4)/(-8) - (-14)/(-4). Let m be 1/r - 17/3. Let b = m - -16. What is the tens digit of b?
1
Let g be (2/(-5))/(4/(-20)). What is the units digit of ((-2)/(-4))/(g/8)?
2
Suppose 6*z - z - 60 = 0. What is the units digit of z?
2
Suppose y = -5*g + 136, 3*g + 190 = 3*y - 200. What is the tens digit of y?
3
Suppose -7*u + 4*u = -99. What is the tens digit of u?
3
Let v(x) = -x**3 + 4*x**2 + 5*x + 4. Let h be v(5). Suppose 0 = -h*k + 5 + 19. Let i = 0 + k. What is the units digit of i?
6
Let x = -6 - -5. Let f be 158/8 - x/4. Let u = -14 + f. What is the units digit of u?
6
Suppose 4*d = 130 - 18. What is the tens digit of d?
2
Let s(k) = 2*k**2 - k. Let c(f) = 3*f**2 + 1. Let h(o) = 5*c(o) - 6*s(o). What is the tens digit of h(-4)?
2
Suppose 5*r - 51 + 21 = 0. What is the units digit of r?
6
Let p(k) = -k**2 + 3*k. Let q be p(6). What is the units digit of (-14)/(-6)*q/(-6)?
7
Suppose 3*v + 26 + 49 = 0. Let b be (-4)/(-3)*(-114)/(-4). Let g = v + b. What is the units digit of g?
3
Let s(x) = -24*
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{
"pile_set_name": "DM Mathematics"
}
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