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stringlengths 518
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-1 = -5*n - h*n + 2*z, -4*z - 8 = -4*n for n.
-1
Let r(n) = -4 - n - n + 9 - 3 + n**2. Let y be r(2). Let x be (3 + -1)*(15/(-6) - -4). Solve 2*d = 4*h - 12, 17 = -7*d + y*d - x*h for d.
-4
Let q = 438 - 605. Let o = 175 + q. Solve o*p = 3*p + h - 13, -2*h = 4 for p.
-3
Let d(k) = k + 11. Let w be d(-7). Suppose -100 = 240*f - 260*f. Solve 4*t + 0*t - 37 = -f*j, 29 = w*j + 3*t for j.
5
Suppose -45*g + 54 = -43*g + 5*s, -g + 5*s = -27. Let b(o) = -4*o + 113. Let u be b(g). Solve -8*h = -6*h + 5*t + 16, u*h + 9 = 3*t for h.
-3
Suppose 69*g - 136*g = -772*g + 5640. Let t = 0 + 0. Solve t = -w + 5*d - d - g, 2*d = 4*w + 4 for w.
0
Let n = -60 + 88. Suppose 8*h - 100 + n = 0. Solve -k = 2*l - h, -2*k + 3 = k for l.
4
Let r(m) = -16*m - 21. Suppose 0 = -34*u - 84 + 16. Let c be r(u). Suppose -2*v = -3 - 1. Solve s = v*n - c, -s - 5*n + 20 + 4 = 0 for s.
-1
Suppose 4*b + 0*b - 5 = 3*z, 5*z - 40 = -3*b. Let k be ((-1)/(z/(-6)))/((-15)/(-50)). Suppose -4*v = k*v - 24. Solve -2*g + s = 3*s - 2, -v*g - 4*s = -1 for g.
3
Suppose 55*v + 8 = -5*b + 57*v, 0 = -b - v + 4. Solve 0 = -3*t - 2*d + 8, 0 = -t - b*d + 2*d for t.
2
Let w be (-192)/20 + 3 + 4/(-10). Let c be (w - (-60)/9)/((-1)/(-141)). Let l = c + 58. Solve -5*v + l = -2*i, -v + 0 + 1 = -i for v.
3
Let l be ((-9)/12)/((12/(-16))/3). Suppose -2*y + 6*y = 5*k - 122, l*k = 4*y + 126. Let p be 12/(-9)*y/22. Solve -p*r + 7*r = -i - 16, -4*i = -r + 1 for i.
-1
Suppose -2947 = 5*a + 3*q - 2968, -4*q - 68 = -4*a. Solve a = -t - 3*c, -6*c = -c + 10 for t.
-3
Suppose 0 = -z + 10*z - 36. Suppose -2 = q - z. Let j be 3 - 0*q/(-2). Solve -o - 3*o - 8 = -4*t, -t = 4*o + j for t.
1
Let o(k) = -k**2 - 7*k + 16. Let r be o(-3). Suppose 4*g = w + 3, 3*w - r*g - 23 = -32*g. Solve 5*x - 4*x + w*s + 10 = 0, 0 = 5*x + 4*s - 13 for x.
5
Let g(f) = f**2 - 7*f + 7. Let d be g(6). Let a(m) = 4*m. Let x be a(d). Suppose i - 33 + 29 = 0. Solve 13 = i*w + 5*z, w + x*z - 2 = 2*w for w.
2
Let v = 44 - 42. Suppose v*u + 15 = -2*y - 31, y + 3*u + 17 = 0. Let p be (27/18)/((-3)/y). Solve 3*b - 2*w = -p, 10 = -4*b - b + w for b.
-1
Suppose -26*s - 640 = 374. Let x = -35 - s. Solve 3*b + x = 2*b, 3*g - 3*b - 9 = 0 for g.
-1
Suppose 1101*t = 1107*t - 12. Solve -2*x = r - t, -5*x = -3*r + 4*r + 1 for x.
-1
Suppose 0 = -4*d - 4 - 4. Let k be (-63)/35*-2 - d/5. Solve 3*m - 1 = -5*z, -2*z - k = -0*m - m for z.
-1
Let t = -10860 + 10864. Solve -t*g = -5*y + 2*y + 1, 5*g - 2*y + 3 = 0 for g.
-1
Let n = 94 + -92. Let j be (2 - 1)*(2 - (1 - -6)). Let h = j - -9. Solve n*s = w + 3, 5*s - 20 = -h*w + 20 for w.
5
Suppose 37*a - 719 = -534. Solve -5*y - 3*h = -2*h - 12, h + 8 = a*y for y.
2
Let u = -451 - -212. Let i = -234 - u. Solve -10 = -4*y - y, -2*y = i*f + 6 for f.
-2
Suppose -14*j = 5*j - 304. Let a be (-13 - -16) + j*1. Let m = 1 + -1. Solve -5*s - a = u, 2*s - 3*s - 3 = m for u.
-4
Let u be (-28)/(-3) - 5/15. Suppose -2*r + m = 1, 3*r = 4*m - m - 9. Suppose 0 = 7*h - 3*h - 16. Solve i - u = -5*q - 1, -2*i + h = -r*q for q.
1
Suppose -3*x + 5*g = 242 - 302, g = 6. Solve -3*i = -9, -x*w + 31*w + 2*i = 5 for w.
-1
Let x(n) = -n**2 + 3*n - 6. Let s be x(0). Let q = -4 - s. Solve q*w + 14 = c, w - 3*c + 32 = -3*w for w.
-5
Let v be 2/(-7) - (-288)/126. Suppose -97 - 91 = -v*u. Let k = 99 - u. Solve 0 = -k*a - 3*y + 9, a + 2*y = y + 1 for a.
3
Let l be 9860/220 + -1 + 13/11. Suppose -4*h - z + l = -h, 75 = 5*h - z. Let b = 10 - 5. Solve b*j + 6 = 3*f - 9, -3*f = 2*j - h for j.
0
Let a = 26 - 24. Let q be -3*(a - 24/9). Let o be 13 - (-12)/18*-6. Solve -o = 3*n - q*m, -n - n - 6 = -4*m for n.
-3
Let u = 1368 - 1366. Suppose -3*d + 0*d = -15, 0 = 5*h - 3*d - 10. Solve -h*x + 4*x = 4*t + 1, -u*x + 4*t = 2 for x.
-1
Suppose -7 = -n - 21. Let q be n*((-7)/(-2))/7. Let k = q + 10. Solve -o - 2*p = -0*p + 7, k*o - 19 = 2*p for o.
3
Suppose -5*f + 6*j = -14 - 13, 5*f + 3*j - 54 = 0. Solve 5*c - f = 23*o - 20*o, 2*c - 2*o - 6 = 0 for c.
0
Let i(x) = -x**2 + 7*x - 3. Let q be i(4). Let l be q/2*(-418)/57. Let k = l + 36. Solve -2*w + t - k*t = 10, -2*w - 3*t - 10 = 0 for w.
-5
Suppose 41*x - 2*o - 16 = 39*x, o - 22 = -4*x. Let p = 5 - 15. Let j be p + 13 + 0 + 0. Solve -i + v + j = -0, i - x = 2*v for i.
0
Let s(u) = -13*u - 80. Let y be s(-6). Let q be 6/y - (-16 - 2). Solve 5*p - 5*h + 10*h = q, -15 = -5*h for p.
0
Suppose -w = -n + 5*n + 140, -n - 35 = -3*w. Let l = 35 + n. Solve l = 2*k + 3*x + 17, -5*k + 3 = -5*x + 8 for k.
-4
Suppose 5*t + 466 - 616 = 0. Solve 27*y = 5*h + t*y - 4, 4*y - 12 = 0 for h.
-1
Let v(g) = 132*g + 373. Let i be v(-9). Let w = i + 819. Solve 0 = -l + 4*k - 18, -5*k + 28 = -w*l - 0*l for l.
-2
Let o be (16 + 72/(-5))*(-15)/(-12). Solve 65 = c - 5*g + 100, -g = -2*c + o for c.
5
Suppose -3*g = -4*g. Let l be (-30)/(-2) + 0 + g. Suppose -a + l - 10 = 0. Solve -a*d + h = 21, 3*d - 2*d + 5*h = -25 for d.
-5
Let a be 1*1*(12 - 1). Let g be (1665/(-222))/(15/(-4)). Solve 0 = g*j + 5*n + a, j - n - 10 = 4*j for j.
-3
Suppose 6*o = 2*o + 24. Suppose 3*y = -2*n + 16, y - 3*y = -n - o. Let b be (0/(3/(-1)))/(-2). Solve l = b, -3*s + s = 5*l - n for s.
1
Suppose -27*j - 21 - 10 = -85. Solve -185*r + 6 = 4*v - 183*r, j*v + 3 = -3*r for v.
3
Let z(q) be the third derivative of q**6/120 - q**5/5 - q**4/2 - q**3/3 + q**2 - 9. Let j be z(13). Solve 4*v - j = -f, 4*f + 20 = -0 for v.
4
Let a be 6 - (6 - 4 - -29). Let o be (5/a)/(1/(-10)). Suppose -d - 5*x - 5 = -2, -x + 9 = 5*d. Solve -2*l = -d*r - 3 + 1, 3*r = o*l - 2 for l.
1
Let l = -181 + 181. Suppose 16*g - 20*g - 4*r + 36 = l, -4*g + 4*r = -4. Solve -k = 2*k + 4*n - 23, g = n for k.
1
Suppose 2*q - 3*v - 19 = 0, 44*v - 40 = -5*q + 49*v. Solve -4*i + q*t + 20 = 0, 10*t = -4*i + 12*t + 8 for i.
0
Let m be ((-4)/(-3)*1)/(2/66). Suppose -10*s = 12*s - m. Solve s*h = -5*l - 2*h - 16, 0 = 3*l - h + 13 for l.
-4
Let b(s) = -s**3 - 5*s**2 - 24*s - 263. Let x be b(-7). Solve -l = x*r + 10 - 23, 0 = 4*l + 5*r - 24 for l.
1
Let m be ((-160)/(-15))/((-4)/12). Let i = -36 - m. Let t be (-5 - -6)/(i/(-20)). Solve t*a - 2 = 2*r, 4*r + a = 2 - 6 for r.
-1
Suppose 0 = 26*a - 162 - 1086. Suppose -a*b - 264 = -72*b. Solve 0 = -4*c - k - b, -5*k - 5 = 2*c + 14 for c.
-2
Let h(j) = -4*j**2 - 23*j - 19. Let n be h(-9). Let i = 50 + n. Let l = i - -88. Solve 0*a + 6 = -l*k + 4*a, -12 = 4*k + 3*a for k.
-3
Let k = 397 + -254. Let x = -122 + k. Suppose -2*f + 2*y - 8 = 0, 0 = 3*f - 2*y + 5*y - 12. Solve x = -b + 5*g, 5*b - 2*g = -f*g - 13 for b.
-1
Suppose 0 = 2*i + 8*u - 3*u - 25, -5*i - 2*u = -94. Let f(o) = 2 + 2*o**2 + 6*o + o - 4*o - 5*o. Let y be f(1). Solve v + 4 = -2*z, y*v = 4*z - z + i for v.
4
Suppose 101*r - g - 18 = 99*r, 2 = 2*r + g. Solve -573 = -3*x - s - 577, r*x = 5*s + 20 for x.
0
Suppose 5 - 7 = 2*c + q, 12 = -4*c - 3*q. Solve 5 - 4 = -4*l - 3*a, -c*l + 2*a - 22 = 0 for l.
-4
Suppose 0 = 5*c - 5*a - 115, 5*a + 76 = -4*c + 177. Suppose l = -2*l - 18. Let j = l + 13. Solve -3*v - c = 5*o, -4*o = 5 + j for v.
-3
Let t be (-7 - -8) + (2 - (-3 - -3)). Let v be 44*((-7)/(-2) - t). Solve -4*b - 5*s - 7 = -44, 2*s = -4*b + v for b.
3
Let w(z) = 53*z + 2182. Let a be w(-41). Let t be (-5)/(-3)*(-5 - -2). Let g = t + 19. Solve -3*u - 2 = -q - a, -3*q - g = -2*u for q.
-4
Let j(r) be the first derivative of 3*r**2 + 52*r - 64. Let s be j(-8). Solve 0 = 2*w + 5*f - 23, 5*w + s*f = 6*f + 14 for w.
4
Let a be (85/51)/((-6809)/858 + 8). Solve -5*y - 5*x - 11 + a = 0, y = -5*x + 3 for y.
3
Suppose -2*o - 6 = -3*o. Let p be -51 + -2 + 3/o*-2. Let d = -51 - p. Solve 0 = d*h - 6*h + x - 5, 0 = -2*h + 4*x for h.
-2
Suppose 0 = 2*d + 4*k - 16, -4*d + k - 2 + 7 = 0. Solve 11*w = -d*q + 14*w, -w = -4*q for q.
0
Let f = 24 + -20. Suppose 2*x - 3*q - q - 66 = 0, -f*x = -q - 132. Let l = -29 + x. Solve -u + 2*z - 2 = 12, -l*u = -3*z + 31 for u.
-4
Suppose -2*r = 3*z - 36 + 3, 2*z - 2 = 0. Solve -2*w + 1 = -3*u, 12*w + 5*u - r = 7*w for w.
2
Let t(q) be the first derivative of q**4/2 - 16*q**3/3 + q**2 - 11*q - 50. Let b be t(8). Solve 2*j - 3*n = -2 + 7, -b*n = 15 for j.
-2
Let s be (-1)/1 - (-29 - -22). Suppose -21*v + 212 - 44 = 0. Solve v = s*p - 2*p, 5*p - 13 = 3*r for r.
-1
Let d(l) = -l + 19. Let b = -109 + 93. Let s be d(b). Solve -14 = -2*m - 8*i + 4*i, 4*i - s = 5*m for m.
-3
Suppose 0*t - 2*t - z + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
*6)**2 - ((sqrt(200) - ((sqrt(200) + 0)*4 + sqrt(200))) + 4).
-360*sqrt(2) + 3221
Simplify 6*(sqrt(704) + -2) + sqrt(704) - (5 + (sqrt(704) - (sqrt(704) + -2)**2)).
16*sqrt(11) + 691
Simplify (-1*((sqrt(684) + 1 + -1)*5 - (-4 + 1 + sqrt(684) - (-3 + (sqrt(684) - -1*sqrt(684))))))**2.
24624
Simplify ((sqrt(2816) - (sqrt(2816) - 5*(sqrt(2816) + 1)) - -1*sqrt(2816)*1) + -5)**2.
101376
Simplify (-2*sqrt(396) + 3 + sqrt(396) + 4 + -5 + (sqrt(396) - (sqrt(396) + 0 + -1)))**2.
-36*sqrt(11) + 405
Simplify 0 + sqrt(91)/(sqrt(21)/sqrt(3)*-2) + 1 + 5.
-sqrt(13)/2 + 6
Simplify -2*(-1*(sqrt(76) + 1) + ((5*sqrt(95) + sqrt(95) + sqrt(95))/sqrt(5))**2 + 5).
-1870 + 4*sqrt(19)
Simplify (1*(1*sqrt(216) - sqrt(216)))/(2*sqrt(1152)*-2 - sqrt(1152)).
0
Simplify -1 + sqrt(208) + 2 + (sqrt(208) + 2)*-3 + -2*sqrt(208)*3 + sqrt(208) + ((-2 + sqrt(208) - sqrt(208))*-3 - sqrt(208)).
-32*sqrt(13) + 1
Simplify -2*(sqrt(891) + -3*(sqrt(891)*1)**2 + sqrt(891)) + -3 + (-2*sqrt(891)*2)**2.
-36*sqrt(11) + 19599
Simplify ((sqrt(378)/sqrt(3))/sqrt(7))**2 - (-3 + 1*sqrt(50)).
-5*sqrt(2) + 21
Simplify ((-4*(sqrt(152) - -2*sqrt(152)) - -3*sqrt(152)*-2)/(sqrt(40)/(sqrt(50)/sqrt(160))) + -5)**2.
45*sqrt(19) + 1639/4
Simplify 3 + (sqrt(98)*-1)**2 - (sqrt(98) + 1 + 1) - (-1*sqrt(144)*2 - sqrt(144))/sqrt(8).
2*sqrt(2) + 99
Simplify 6*((sqrt(605)*-2 - sqrt(605))*-2 - (sqrt(605) + sqrt(605)*2 + 1))**2*-6.
-196056 + 2376*sqrt(5)
Simplify (sqrt(1440) - sqrt(1440)*-1 - (sqrt(40) + sqrt(2560)*1))/(-5*1*sqrt(288)).
-sqrt(5)/10
Simplify ((4 + sqrt(11))*5 + -3 - sqrt(110)/((sqrt(120)/sqrt(3) + sqrt(40))/sqrt(4) + sqrt(10)))**2.
476*sqrt(11)/3 + 4757/9
Simplify 4*(1 + sqrt(567) + sqrt(567) + 0 + 3 + -1)**2.
432*sqrt(7) + 9108
Simplify (1*3*sqrt(70)*-2)/(sqrt(1440) - (-2*(sqrt(1440) + sqrt(1440)*-3 + sqrt(1440) - sqrt(1440)) - sqrt(1440))).
sqrt(7)/4
Simplify (-2*(sqrt(288)*-2 + -1) - -5*-1*sqrt(288)*-2)**2.
672*sqrt(2) + 56452
Simplify ((-6*(-1*sqrt(187)*-5 + sqrt(187)))/((sqrt(77) + 4*(sqrt(77) + 2*sqrt(77)))/sqrt(7)))**2.
22032/169
Simplify (-5 + -6*(sqrt(475)*2 + 1 + sqrt(475) + -3))**2.
-1260*sqrt(19) + 153949
Simplify ((sqrt(9)/sqrt(12))**2*-5 - (-4*sqrt(3)*2 + -2 + 1 + sqrt(3)))*-6.
-42*sqrt(3) + 33/2
Simplify (sqrt(76) + sqrt(76) + 2)*3 - (5 + (sqrt(475) + 0 - sqrt(475)) + sqrt(475) + sqrt(475) + sqrt(475))**2.
-4294 - 138*sqrt(19)
Simplify (6*sqrt(175)/sqrt(5))/(sqrt(50)/(sqrt(70)/sqrt(7))).
6*sqrt(7)
Simplify (sqrt(325) + -1 + -2)**2 + (-2 + -5*sqrt(325) + sqrt(325))**2.
50*sqrt(13) + 5538
Simplify sqrt(200) + 2 + (sqrt(110)/sqrt(5))/sqrt(11) + ((-2 + sqrt(2) + 1 + sqrt(2))**2 - sqrt(48)/sqrt(6)).
5*sqrt(2) + 11
Simplify -3*2*(sqrt(88)/(sqrt(8) + sqrt(1152) + sqrt(8)) + 3 + (sqrt(11)*-5)**2).
-1668 - 3*sqrt(11)/7
Simplify (sqrt(24)/(sqrt(36) + sqrt(4)))/(-1*sqrt(27)).
-sqrt(2)/12
Simplify -1*(sqrt(112)/(sqrt(200) + sqrt(200)*-1 - sqrt(8)))/(sqrt(8)/(sqrt(484) + 2*sqrt(484))).
33*sqrt(7)
Simplify 6*-4*((sqrt(704)*-2 + sqrt(704) + sqrt(704))**2 + -2*(sqrt(77)/sqrt(7) + sqrt(11))).
96*sqrt(11)
Simplify -1 + ((sqrt(833)*1 + -5 + sqrt(833))*-6*-6)**2 + -3.
-181440*sqrt(17) + 4350668
Simplify (sqrt(96)/(-1*sqrt(4)))/(sqrt(108)*4) - ((0 + sqrt(2))*6 - sqrt(4)/(sqrt(2) - (sqrt(2)*-3 - sqrt(2)))).
-353*sqrt(2)/60
Simplify (6*sqrt(660)/sqrt(11))/(sqrt(588) + 1*sqrt(588) + sqrt(588))*-4.
-8*sqrt(5)/7
Simplify (sqrt(9) + -1*sqrt(1296) + sqrt(1296))/sqrt(3) - (sqrt(21)/((sqrt(56)/sqrt(2) + sqrt(28))/sqrt(4)))**2.
-3/4 + sqrt(3)
Simplify 6*(5 + sqrt(108) + (sqrt(108)*2 - sqrt(108) - sqrt(108)))**2*1*-2.
-1596 - 720*sqrt(3)
Simplify 0 + (sqrt(27) - sqrt(27)*-3)/sqrt(9) + ((-2*sqrt(36)*6)/sqrt(12))**2.
4*sqrt(3) + 432
Simplify (-1*sqrt(16)/sqrt(2))/(3*sqrt(256)).
-sqrt(2)/24
Simplify (-1*-1*(((sqrt(117) + 2 - sqrt(117))*-5 + sqrt(117) - sqrt(117)) + sqrt(117) + -5 + sqrt(117) + 3*sqrt(117)))**2.
-450*sqrt(13) + 3150
Simplify 3 + (1*sqrt(1100))**2 + sqrt(539)*1*2 + sqrt(539) + sqrt(539) + sqrt(539).
35*sqrt(11) + 1103
Simplify 3 + ((sqrt(110) - (sqrt(110) + sqrt(110)*-2*2 - sqrt(110)) - sqrt(110))/sqrt(2))/(sqrt(44)/(1*sqrt(196))).
3 + 28*sqrt(5)
Simplify 3*(-3 + -3 + (sqrt(12) - (sqrt(12) - (sqrt(300) + sqrt(12))))/sqrt(6))*-5.
-90*sqrt(2) + 90
Simplify 4*((sqrt(7) + 2 + sqrt(7))**2 + -4)*3*-6.
-2016 - 576*sqrt(7)
Simplify 5*(sqrt(84) + (sqrt(84) - (sqrt(84) - ((2*sqrt(84) + sqrt(84) + sqrt(84))*2 + sqrt(84)) - sqrt(84))))/((-3*sqrt(144))/sqrt(12)).
-55*sqrt(7)/3
Simplify (3*(sqrt(153) + sqrt(153) + sqrt(153) + (sqrt(153) - sqrt(153)*-4*6) - sqrt(153))/sqrt(9)*-5)**2.
2788425
Simplify -5*(sqrt(5) + sqrt(80)*-2)**2 - (-2*(1 + sqrt(5)) - (sqrt(245) + -2))**2.
-1630
Simplify (sqrt(84)*-1 - 2*sqrt(84))/((sqrt(154)/(sqrt(99)/sqrt(9)))/sqrt(2)).
-6*sqrt(3)
Simplify ((sqrt(2)*1 + sqrt(2) - sqrt(2) - sqrt(2))*2*-4 - (-3 + sqrt(32))*-2)**2.
-96*sqrt(2) + 164
Simplify 3*((sqrt(320) - ((sqrt(320) + 1 - sqrt(320) - sqrt(320)) + -2)) + sqrt(320) + (sqrt(320) - (sqrt(320) + 1 + -2)) + sqrt(320) + sqrt(320) + 0)**2*-5.
-120060 - 2400*sqrt(5)
Simplify (((sqrt(450) - (sqrt(450) - (1*sqrt(450) - sqrt(450) - sqrt(450))))/sqrt(9))/sqrt(10))**2 + 5*(2 + sqrt(245)).
15 + 35*sqrt(5)
Simplify (sqrt(270)/(-4*1*sqrt(9)))/(2*sqrt(1000)*6).
-sqrt(3)/480
Simplify -3 + (sqrt(156)*4*2)/(sqrt(768) - 3*sqrt(768) - sqrt(768)).
-3 - sqrt(13)/3
Simplify (sqrt(104) - 4*sqrt(104)*-1 - sqrt(104) - sqrt(104))/(sqrt(32) - sqrt(128) - sqrt(8))*-6.
6*sqrt(13)
Simplify (1*(sqrt(121)*-1*-6 + sqrt(121)))/(sqrt(11) + sqrt(44)*-5 - (-3*-2*sqrt(11) + sqrt(11))).
-7*sqrt(11)/16
Simplify (sqrt(1920) - (sqrt(1920) - (sqrt(1920) + sqrt(1920)*-1)) - (2*sqrt(120))/sqrt(4))/((sqrt(600)*1 + sqrt(600))*3 - sqrt(600)).
-sqrt(5)/25
Simplify (sqrt(125)*1)**2 + -4 + 3 - ((-3*sqrt(10)*-1)/sqrt(2))**2*-2.
214
Simplify (sqrt(110) + (sqrt(110) - -1*(sqrt(110) - sqrt(110)*-1)))/(-4*sqrt(160)).
-sqrt(11)/4
Simplify ((sqrt(84)*2 - sqrt(84))*-1 - (sqrt(84) - -2*sqrt(84)*2 - sqrt(84)))/(sqrt(36)/(1*1*sqrt(3))).
-5*sqrt(7)
Simplify (sqrt(343) + 5 + (sqrt(343) + 0 - sqrt(343)) + 4)**2 + -1.
126*sqrt(7) + 423
Simplify (1*-6*sqrt(1573)*-5)**2*4.
5662800
Simplify (-3*(-5*4*sqrt(121) - sqrt(121) - sqrt(121))/((sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396) + sqrt(396)*-3)))) + sqrt(396) + sqrt(11)))**2.
47916/625
Simplify 0 + 3 + -3 + sqrt(847) + 0 + -5.
-5 + 11*sqrt(7)
Simplify ((sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) - -3*sqrt(104)*2)))) + 3*1*sqrt(104))/(sqrt(800)*-4).
-9*sqrt(13)/40
Simplify (2*(sqrt(320) - (-1 + sqrt(320))) + (sqrt(320) + 3 + sqrt(320))*4)*-2.
-128*sqrt(5) - 28
Simplify 6*(sqrt(1573) - (-1 + sqrt(1573) + 0))**2*-5.
-30
Simplify ((sqrt(228)*-2 + sqrt(228))*2 + sqrt(228) - sqrt(228))/(-1*sqrt(300) + sqrt(300) + sqrt(300))*-3 + -4.
-4 + 6*sqrt(19)/5
Simplify ((sqrt(363) - -3*(sqrt(363) + 2)) + (-3*(sqrt(363) + 2 - sqrt(363)) - sqrt(363)))**2 + -5 + 0.
3262
Simplify -3*(3*5*(0 + sqrt(605))*5)**2.
-10209375
Simplify ((-2*sqrt(504))/sqrt(8) - (2*sqrt(567))/sqrt(9))/((-6*(sqrt(108) - -4*sqrt(108)))/sqrt(12)).
2*sqrt(7)/15
Simplify ((sqrt(76)*4 - (sqrt(152)*-1 + sqrt(152))/sqrt(8)) + -2)**2.
-32*sqrt(19) + 1220
Simplify ((sqrt(510)/(sqrt(10)*-1)*-2)/((sqrt(1296)/sqrt(4))/sqrt(3)))**2.
17/9
Simplify (sqrt(21)/(sqrt(21)/sqrt(3))*-1)**2 + 2 + 2*sqrt(12).
5 + 4*sqrt(3)
Simplify (1*(6*(2*sqrt(80) + sqrt(80)) + (sqrt(80) - (sqrt(80) - (0 + sqrt(80)))) + -4 + (2 + sqrt(80))*3 + 5))**2.
1232*sqrt(5) + 38769
Simplify (-4 + (5 + sqrt(1088) + 1 - (0 + 0 + sqrt(1088))))**2.
4
Simplify -2*(sqrt(324)/(sqrt(972) + sqrt(972) + (sqrt(972) - -1*sqrt(972))))**2.
-1/24
Simplify (0 + (sqrt(108) - (sqrt(108) - (-1 + sqrt(108) + -2) - sqrt(108))) - (sqrt(108)*-1 + sqrt(108) + -4 + sqrt(108) + 4))**2.
-36*sqrt(3) + 117
Simplify sqrt(50)/(1*sqrt(490) + sqrt(490) - sqrt(490)) - (sqrt(5) + -3 + -4)*-6.
-42 + 43*sqrt(5)/7
Simplify 3*(-3*2*sqrt(252)*-4)**2.
435456
Simplify (-5*sqrt(304) - (sqrt(19) + 1*sqrt(1900)))**2 + 1.
18260
Simplify (-2 + (-5 + 1*sqrt(425) - (sqrt(425)*1 + -5)) + -4)**2.
36
Simplify sqrt(52)/sqrt(4)*1 + sqrt(13) + (sqrt(637) + 1)**2 + 2 + 4.
16*sqrt(13) + 644
Simplify (sqrt(5) - (sqrt(120)/sqrt(4))/sqrt(6) - sqrt(15)/sqrt(27)) + sqrt(125) + -2 + -2.
-4 + 14*sqrt(5)/3
Simplify sqrt(140)/sqrt(5) + -3 - ((-4 + sqrt(252) - sqrt(7)) + 1).
-3*sqrt(7)
Simplify 1
|
{
"pile_set_name": "DM Mathematics"
}
|
.1 (b) -0.4 (c) -4 (d) l
d
Let p = 28116 + -28093. Which is the fourth biggest value? (a) p (b) -4 (c) 0.15 (d) 0.03 (e) 5
d
Let k = 3.8294 - 3.4294. Let y be 84/43 + (0 - 2). What is the smallest value in 2, y, k?
y
Let u be ((-6)/5)/(48/(-840)). Suppose 13*o + 8 - u = 0. Which is the third smallest value? (a) o (b) 1/2 (c) 0.3 (d) 1/6
b
Let y = 538.3 - 535.3. Which is the third biggest value? (a) y (b) -2/33 (c) 10.8
b
Suppose -3*c + 10 = -o + 24, 2*o = 2*c + 8. What is the smallest value in -87, o, 0.4, -0.5?
-87
Let c = 47 + -28. Let g(p) = 0 - c*p**2 - 1 + 10*p**2 + 12*p**2 - 27*p. Let f be g(9). What is the third biggest value in f, 2/7, -4, 0.4?
f
Let n = -24391 - -24385. What is the third smallest value in n, -175, 2/5?
2/5
Let j be 11 + (4/12)/(4/(-152)). Which is the third smallest value? (a) 106 (b) 1 (c) 2/19 (d) j (e) -1/5
c
Let r(a) be the first derivative of 3*a**2/2 - 22*a - 1. Let d be r(7). Let o = -2.0005 - -0.0005. What is the biggest value in d, o, 0.5?
0.5
Suppose -2*p = 16*t - 15*t, -5*t = -p. Which is the fourth smallest value? (a) 0.01 (b) t (c) 32 (d) -1
c
Let r = -3648 - -3647.6. What is the third smallest value in -1/7, r, -2/9?
-1/7
Let z = 3437 + -3436.6. Suppose 133 = 2*c + 21. What is the biggest value in 1, z, c?
c
Let r = -1670 - -1665. What is the second smallest value in 0.21, 0.3, r, 2/7?
0.21
Let u(z) = -4*z**2 + 14*z + 3. Let o be u(14). Let q be ((-2)/24)/((-65)/o). What is the third biggest value in 2, q, -1/5, 5?
-1/5
Let h = 1.916 - 1.716. Which is the fourth biggest value? (a) -0.069 (b) h (c) 3 (d) 3/8
a
Let u(z) = z**2 + 6*z - 84. Let h be u(-15). Which is the third biggest value? (a) 5 (b) h (c) -5
c
Let m = 3/61 - -43/366. Let w = 19 + -43. Let u = 22 + w. Which is the fourth biggest value? (a) u (b) 4 (c) m (d) -0.5
a
Let r = 5079 - 5078.6966. Which is the second biggest value? (a) -0.2 (b) r (c) -1 (d) -3
a
Let i = 37.94 + -38.14. Which is the third biggest value? (a) -20/131 (b) i (c) 4
b
Let w = 12235 - 12271. Which is the second smallest value? (a) w (b) 3 (c) 7
b
Let y = -667.1 + 667.1. What is the third biggest value in y, 4, -2/437, 1/6?
y
Let x = 39.21 + -48.8. Let g = -9.7 - x. Let w = g - -2.11. What is the second smallest value in 5/3, -3, w?
5/3
Let y = -2726.993 + 2737. Let v = 0.007 - y. Let w = -10 - v. What is the third smallest value in w, 0.1, 3/2, 0.5?
0.5
Let m = -212 + 211.8. Let k = -0.09 + -0.35. Let q = k + 0.04. Which is the third biggest value? (a) -1 (b) q (c) m (d) 3
b
Let z be (72/(-4) + 13)*(-516)/(-10). Let c be z/(-330) + 6/(-33). What is the biggest value in c, -4, 8?
8
Let j = 285014 + -285012.2. Let g = 196/285 + -2/95. What is the second biggest value in -0.2, j, g, 1?
1
Let g = -0.2 - 0. Let s = 9419.02 + -9448.02. Let v = 4 - 6. Which is the biggest value? (a) g (b) v (c) s
a
Let z be 2 - (29704/99 - (-2)/(-9)). Let q = 298 + z. Which is the biggest value? (a) 5 (b) -3 (c) q (d) 0.06
a
Let k = -37208 + 148835/4. Let b = 11/5 - 9/5. What is the third smallest value in b, k, 0.5, -9?
0.5
Suppose 4*t - 8 - 8 = 0. Suppose -t*v + 20 = 0, -q + v - 4*v = -16. Which is the second smallest value? (a) -2/7 (b) q (c) 2/9
c
Let p = -4.2136 - -1.2136. Which is the third biggest value? (a) -16/27 (b) p (c) 1 (d) 1/5
a
Let m = 43.28 + 3.12. Let a = -46 + m. What is the third smallest value in 2/11, a, 2, 0.1?
a
Let u be (-2)/3 - (-110)/462. Suppose 0 = 8*y - 6*y - 4. Suppose 3*k - 3 + 27 = -5*z, 0 = 2*z - y*k. Which is the biggest value? (a) u (b) 0.3 (c) z
b
Let m = 833.2 - 833. Which is the third smallest value? (a) 17 (b) 0.1 (c) m (d) -2 (e) 11
c
Let m = -7498 - -52488/7. Let g = 2 + -4. Which is the fourth biggest value? (a) -11 (b) m (c) g (d) -3
a
Let o = 0.005 - -0.995. Suppose 6*k = 19 - 1. Let r be (-1 + (-27)/(-24))/(k/66). Which is the smallest value? (a) r (b) -2/11 (c) o
b
Let n = -13542 + 13540. Let i be (56/(-30) + 2)*-3. Which is the second smallest value? (a) n (b) -19/5 (c) i (d) 3
a
Let m = -134.6 - -129.6. Which is the third smallest value? (a) 0.5 (b) -0.26 (c) m
a
Let v = -8 + 4. Let u = 239 - 239.604. Let h = 0.104 + u. Which is the second smallest value? (a) -2/145 (b) v (c) h
c
Let k be ((-2)/(-10))/(4/(-10)). Let b(q) = 10*q + 81. Let r be b(-8). Let x be r - (-52)/(-44) - (-54)/(-66). What is the smallest value in 4/7, x, k, 0?
x
Let d = -2110.5 - -2111. Which is the smallest value? (a) d (b) -5 (c) -558
c
Let o(m) = -m**3 + 12*m**2 - m + 20. Let w be o(10). Let t = w + -213. Which is the biggest value? (a) t (b) 1/9 (c) 2
c
Let m be ((-5)/(-21))/(1280/1536). What is the second smallest value in -2/17, -1/5, m, -3/8?
-1/5
Let y = 0.09 + 152.91. Let n = y + -153.4. Which is the smallest value? (a) -0.1 (b) 1/2 (c) 7 (d) n
d
Let v = -1.93 + 1.93. Let p be 0 + ((-15)/(-5))/(27/24). What is the second smallest value in 3, p, v?
p
Let w be 2/(3 + (0 - 5) - 2). Let r = 24 - 24.13. Let y = r + -0.27. What is the third smallest value in y, 0.3, w?
0.3
Let c be (-6)/4*(-12)/45. Suppose -w = -1 + 3. Let a = -96676 - -96673. What is the fourth biggest value in w, 0.8, c, a?
a
Suppose 0 = 5*n - 4*b - 2, 2*b - 11 + 5 = -n. Suppose 3*i + c = 6, -5*i + 0*c + n*c + 10 = 0. What is the fourth biggest value in 1, -1/5, i, 15/7?
-1/5
Let w = 418.25 + -422.20842. Let y = -0.08458 + w. Let k = -0.043 - y. Which is the biggest value? (a) -3/5 (b) k (c) -0.2 (d) -6
b
Let g = -24/13 + 46/39. Which is the biggest value? (a) -3 (b) 0.1 (c) 0.6 (d) g
c
Suppose -5*n - 4*z - 6816 = 0, 0 = 8*z - 4*z + 16. Let u be (-8)/2*204/n. Which is the biggest value? (a) 2/259 (b) u (c) -0.1
b
Let o(z) = 14*z - 11. Let m be o(1). What is the smallest value in -1/5, m, -12, 1/22?
-12
Let x = -23 - 2. Let q = -467.3 + 492. Let d = x + q. What is the third smallest value in -5, 5, d, -5/4?
d
Suppose -20 - 10 = -6*i. Let n = -0.17 + 7.17. Let m = n - 6.5. Which is the smallest value? (a) i (b) m (c) -1
c
Let w = 3.557 + -3.857. What is the third biggest value in -4, w, -9, 2?
-4
Suppose -8 = -4*o + 4. Let b(p) = -258*p + 3354. Let s be b(13). Let q be 3/(-4)*9/(-18). What is the second smallest value in o, q, 0.02, s?
0.02
Let m = -0.6 + 0.7. Suppose -219*x + 10669 = 8*x. Which is the second biggest value? (a) m (b) x (c) 4
c
Let l = -92200/91 - -12540/13. Which is the third smallest value? (a) l (b) 5 (c) -2 (d) -5 (e) 4
c
Suppose -8*n + 12*n - 88 = 0. Let g(y) = -y**3 + 7*y**2 + 8*y - 4. Let x be g(8). Let c be (-156)/(-715) - x/n. What is the third biggest value in c, 0.06, 0.1?
0.06
Let j(i) = 6*i**2 - 33*i - 109. Let v be j(-6). Let g = -356 + v. What is the third smallest value in -2/9, -4, g?
-2/9
Let p = 417.636 - 418. Let i = 2.964 + p. Which is the biggest value? (a) 2 (b) 1/4 (c) i (d) 1/2
c
Let z be 3764/(-16) - ((-42)/(-24))/(-7). Let h = z - -238. Let p = 1844/5 + -370. What is the third smallest value in p, 7, h?
7
Let j be (0 + (-1)/(-7))/(1765/(-49420)). Let g = -7 - -11. Which is the fourth biggest value? (a) -5 (b) j (c) g (d) -24/11
a
Let y = -16575 + 16574.7. Let f be (2/(-12))/((-7)/4). Which is the smallest value? (a) y (b) f (c) -2
c
Let t = -149 + 141. Let g be 65/(-39)*6/t. Let o be ((-8)/(-12))/(-1 + 3). Which is the third biggest value? (a) o (b) 4/5 (c) g (d) -5
a
Let f = 0.224 + 330.776. Let t = f - 336. What is the third biggest value in -8, t, 4?
-8
Let u = 244 - 242. Let o = -83 - -81.1. Which is the second biggest value? (a) o (b) u (c) -0.5
c
Let f = -0.1 + 0.6. Let x = -22.66 + -1.34. Let r = -22 - x. What is the smallest value in -2/15, 0, r, f?
-2/15
Let u = 1461.3 - 1461. Which is the fourth smallest value? (a) -11 (b) u (c) 1/4 (d) 0.19
b
Let k = 326.9228 - -0.0772. Let i = k - 274. What is the second smallest value in i, 3/4, -2?
3/4
Let m = -3 - 0. Let b = -377 - -262.7. Let p = b - -83.3. What is the third smallest value in p, 5, m?
5
Let n = 5.4 + -5.72. Let d = -0.82 - n. Let o = 19 - 23. What is the third biggest value in d, -1/12, o?
o
Let d be 4/(-6)*531/(-2301). What is the second smallest value in -193, -15, d?
-15
Let r = -131/24 + 16/3. Let h be 2/8 + 1/4. Let f = -0.072546 + 0.022546. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
is the value of -40 - (14 + -37) - 63*-1?
46
Evaluate (70/(-420))/((-1421)/(-174)).
-1/49
Evaluate ((-2)/22)/(761299/26257 + -29).
31/2
-21*13/(-273) - 30
-29
85/(-10)*2 + (-42)/(2310/5225)
-112
Evaluate 3/4 + (-225)/450*76/56.
1/14
What is the value of 74/(-770)*1 - 1064/(-18620)?
-3/77
(-20)/(-24)*(-15 + 3618/90)
21
((-886512)/460)/146*10/(-54)
22/9
Calculate ((-4)/(-72))/(4 + (30/(-9) - 267/89)).
-1/42
What is the value of -917 - -936 - (-2 - (-17)/1)?
4
Evaluate -18 + (-34 + 1)*12/18.
-40
Calculate (520/180 + -3)/(7 - (-3455)/(-495)).
-11/2
Calculate -22 + (166 - 126) + (-122)/6.
-7/3
What is the value of ((-24)/(-3))/(118 - 3088868/26190)?
135
What is the value of 4/((87 + -25)/248)?
16
7 - -3 - (38/5 + -8)*370/(-4)
-27
Evaluate (-336)/104 - (-720)/1560.
-36/13
(49/30 - 522/(-3132))/((-1)/35)
-63
What is (-1491)/98 - ((-2880)/210 + 16)?
-35/2
Evaluate 116/(-4) + -10 + 180/36.
-34
What is ((-5016)/48 + 106)*-9?
-27/2
Calculate -86 - -106 - (3 - 2226/(-98)).
-40/7
What is the value of (19908/(-23226))/(1 - (0 - 1))?
-3/7
Evaluate 143/52*(-19 + 1113/63).
-11/3
Calculate (60/(-816))/(2100/(-7140)).
1/4
(-2834)/(-126) + 710/(-994) + -20
16/9
Evaluate ((-228)/24 + 5)/(105/50).
-15/7
Calculate (-94)/(-312) + 2533/30396.
5/13
13/(-3900)*-25 + (-2)/(-8) + (-1 - 1)
-5/3
What is (6/9)/(2/3*242/121)?
1/2
Calculate 60/(-10) + 8/((-104)/(-16) + -7).
-22
6/(-219) + 3968305/(-92345)
-43
Calculate (-39)/468 - (143429/9588 - 15).
-2/47
((-18)/5 + 0)*(-17120)/(-1284)
-48
Calculate (63/315)/(576/(-45)).
-1/64
1*44*((-315)/(-48300)*-46 + (-12)/10)
-66
(-4)/(-10) + 21105/(-1575) - -33
20
What is ((-272)/128*-8 - 38) + 6/9*-15?
-31
What is the value of 937/1955 + 23424/(-49776)?
1/115
Calculate ((-2*(-1)/4)/((-378)/432))/(8084/(-602)).
2/47
What is the value of (-37 + 46)/(45/6)*60/(-28)?
-18/7
What is the value of (-1*(-4)/3)/(101/(214524/9440))?
3/10
Calculate ((-82688)/1520)/(-136)*575/2.
115
What is the value of (75*(-51)/(-6375))/(348/240 + -2)?
-12/11
What is 35640/(-14580) + 889/360?
1/40
Calculate (-3)/(-10) - 8/32*(-169568)/560.
76
Calculate ((1269/18)/3*12)/(11 + -5).
47
Evaluate ((-8)/27)/(6932/(-25995)) + 1064/(-990).
2/55
Evaluate (-1680)/25 + -4 - (-18)/(-35)*(-8953)/(-2558).
-73
What is the value of 4228/9513 - (298/63 + -3)?
-9/7
Evaluate (-224)/110 + (-24 - (5049/(-135) - -13)).
-18/11
What is (5/6)/((-660)/(-528)) - (1172/(-348) + 4)?
1/29
Calculate (-1573644)/33246*(10/(-4) - -1).
71
What is the value of 38/120 + (-13)/52 - 25122/90630?
-4/19
Calculate -2 + -1*2 - (-123)/(26568/14040).
61
What is (-2)/11 + 11648/176 + -28?
38
What is 84/(-154)*30261/(-7074)?
7/3
Evaluate (-8091)/(-34596) + 1/62 - (1 - 293/(-4)).
-74
Evaluate ((-27235)/(-91))/(-5) + (-295)/(-826) + (-1)/(-2).
-59
Calculate (-31 + 21 + -2 - (-48)/4) + (-5)/5.
-1
Calculate 19195/(-10470)*(-1 - -19).
-33
What is 40/(-15) - (5515/(-290) + 17 + (-14)/21)?
1/58
Evaluate (208/4)/2 + -3006*(-55)/(-990).
-141
What is ((-3)/2)/((-696)/(-48) + -14)?
-3
What is the value of (-60)/(-1290) - 6/((-52374)/3335)?
3/7
What is the value of (42 + -56)*4108/(-1456)?
79/2
What is the value of ((-130)/(-156))/((-2)/(-12))*((-336)/(-450))/28?
2/15
Calculate ((-2450)/(-22) + -111)*-132.
-48
What is (-1 - 5/(-3))/((-357)/(-4284)) + 0?
8
What is (175/(-77) - -2)*-3*(-114)/513?
-2/11
14 + 1314/73 + -47
-15
Calculate (-2)/(-148)*(-60)/18*(-3 - 731/(-215)).
-2/111
Calculate 4*1*89/(-1068)*18.
-6
What is the value of 564/(-39) - (-13160)/940?
-6/13
Calculate -11 + (-17 - (-1937)/39) + -22.
-1/3
Calculate 126*((-137 - -279) + -141).
126
What is ((-546)/(-33 - -59) - -19)*((-18)/(-4) - 2)?
-5
Evaluate 30*84/90*260/(-182).
-40
Calculate (-303 + 11 + 54)*88/(-374).
56
1575/44100 + (-115)/280
-3/8
Calculate 3990/3325 + (-6 + 5 - (-772)/(-10)).
-77
((0/(-12))/9 + (-3)/(-9))/((-4)/(-624))
52
Calculate (-4 + -1 - 28/(-6))/(((-299)/(-2277))/13).
-33
9/20 - (-172 - 354836/(-2064))
8/15
What is ((-207800)/(-980) - 178) + (-2)/49?
34
Evaluate (-8)/92 + (-8 - (-68197)/1081).
55
Calculate (-2)/(-40)*(175/(-2100))/(5/75).
-1/16
What is the value of (82440/(-22365) - (-6)/(-213))/2?
-13/7
Calculate 17/((-119)/28) - (-261 + 281).
-24
Calculate (16625/225)/(-133)*12/14.
-10/21
What is (8541/18 - -5)*(-212)/742 + 2*2?
-133
Evaluate 94/(-1316) - 30*3047/924.
-99
Calculate (-232)/((-263552)/(-639))*(-2)/9.
1/8
What is the value of (-26 - 3 - 0)*(156/96)/(-13)*-8?
-29
Calculate ((-30)/(-105) + (-4807)/532)*(-10)/7.
25/2
What is -11 + -1 - ((-762)/63 - 46/(-483))?
0
30*54/24*(-2 + 20 - 2460/150)
108
Evaluate 128/(-33) + (22 - (-48)/72*-27).
4/33
What is (((-44712)/(-270))/69)/(12/(-70))?
-14
Evaluate (-3)/(3/((-12)/(-16)) + ((-3195)/525 - -2)).
35
(-6)/22*((54 - 41) + 11/((-99)/114))
-1/11
What is the value of ((-12)/16)/(93*(-21)/260400)?
100
Calculate ((-8)/28)/(136/26894) - 27/6.
-61
Calculate ((6 - (-58)/(-8))/((-5)/(-5)))/(520/(-160)).
5/13
What is the value of (-1)/(-264)*-11 - ((-10241)/(-168) - 0)?
-61
(-81)/9*6/(-99)*-1 - 770055/15730
-99/2
Calculate (-7822)/86 + (37 - (-57348)/(-1548)).
-91
(-868434)/13485 - (1/(-15))/((-1)/(-6))
-64
Calculate (507/(-1352)*(-4)/6)/((-525)/(-24) - 0).
2/175
Evaluate 16600/744510 + 6/207.
2/39
Evaluate (-3)/(-93)*(6324/1488 + (-171)/12).
-10/31
What is the value of ((-1144)/836)/(-13) - (-58)/266 - 15/35?
-2/19
Calculate 1258/(-157) + (12 - 429/33)*(-4 - 4).
-2/157
What is the value of (39/(-897)*-23)/(50/(-15))?
-3/10
What is the value of ((-1188)/704)/(12/8)*12?
-27/2
What is (((-12)/3)/260)/((-447)/(-131865)) + 5?
6/13
Calculate 0 + (15/10 - (5 + (-5550)/660)).
54/11
Evaluate -5 + -162 + 30 - -32.
-105
Calculate 12/(-288)*-40*-7*((-88)/77 - 1).
25
What is the value of (3 + 13569/(-4521))/(64/(-759 + 55))?
2/137
Evaluate (94/28576*152)/((-1)/(-174)).
87
Calculate 104/(-715)*-11*7000/(-160).
-70
Evaluate (-28 + -2)/(63 - 2739/44).
-40
-23 - 0 - -8 - 221494/(-14742)
2/81
Calculate 9*(-3)/12 + 616329/169572.
18/13
What is (-225)/(-720)*4 + 471/(-12)?
-38
What is (-1)/((-2)/(-28)) + 169/((-8112)/(-4224))?
74
Evaluate 1*(-2)/148*(-465 + 463).
1/37
Calculate (15/(-140))/(2340/4800*-10).
2/91
What is the value of (-12551)/209 - (-496)/9424?
-60
Calculate (-7994)/2284 + (-519)/6 - 15/(-1).
-75
12/272*((-4)/(-5))/(20/750*-15)
-3/34
71/((-98477)/(-27721)) - 20
-1/73
What is -110*(-19)/(-1140)*-6 + 2138/(-194)?
-2/97
What is the value of ((-14)/(-49) - 760/(-84))/((-16)/24)?
-14
What is 1428/42 - (145 + -124)?
13
(-1 - (4 + -6)) + (-27412)/(-264) - (-97)/582
105
What is (-399)/(-2527) + 88924/817?
109
What is 3 + -92 + 1155808/7604?
63
What is 41/(-7462)*8558 + (-8)/(-364)?
-47
Calculate 1404/104*((-2 - 160/(-70)) + (-184)/(-42)).
63
What is (-1558329)/(-11544) + -112 - (25 - 2)?
-1/104
Evaluate (2/140)/(4170/(-19460)).
-1/15
-54 - 225/18*60/15
-104
Calculate 115 - (9 + -4 - -24)*140/2030.
113
(-125)/(-75) + (-376)/240
1/10
Calculate ((-32)/30)/(4/18)*((-629000)/2856 + 220).
8/7
Evaluate (-13)/(137 + -33)*(2 - 4)/(-4).
-1/16
18267/(-3735) - -5 - 86/(-3569)
2/15
29 + (-804)/24 - (-13928)/3088
2/193
Evaluate (1477/(-35) - -28)/((-6)/150*5).
71
What is ((-15)/30 - 63/(-14))*(-30)/45?
-8/3
What is (((-5)/5)/((-8)/(-472)))/((-2 - 1)/(-3))?
-59
What is (-1056)/(-126) - ((-13 - -1) + 4182/357)?
26/3
What is the value of (-2)/1*(-60)/((-4080)/748)?
-22
Evaluate 2/(2/60*-3)*(-57)/1482.
10/13
2 + -5 + 897/871 + -7 + 9
2/67
Evaluate -17 + 20 - (98 + 6 + -36).
-65
Evaluate (640/(-525))/8 + (-512)/(-3584).
-1/105
Calculate ((-3058)/(-13761))/((-3)/(-30)).
20/9
What is (2/(32/(-132)) + 0 + 6)*100/5?
-45
What is (15/(-20))/((-4)/(-63 + 7))?
-21/2
Evaluate (-1)/((3/496)/((-1206)/(-6432))).
-31
14/4*105/490*(-247)/(-39)
19/4
What is (-169880)/(-6076) - 4/(-98)?
28
What is the value of (-731)/17 + 3577/84?
-5/12
What is the value of (-47)/((-82579)/(-5257)) - 1*(-5 - -2)?
2/251
Evaluate 30 + 108794/(-3762) - 18/11.
-5/9
Calculate (-3796)/234 + 10 - (-3 + (3 - 8)).
16/9
Calculate (12/340)/((-21825)/171690) + (-4)/(-34).
-4/25
Evaluate 765*(-152)/(-1292) + -95.
-5
(-1)/1*1/3*26*(-2484)/(-598)
-36
(-298)/(-8) - (12/14)/(17 - (-8001)/(-441))
38
Evaluate 8 + (7 + 6 - (8 - (-8)/2)).
9
Calculate (-448)/288*(6 + -3) - (-2)/6*-4.
-6
What is the value of 3 - (13 + -12 - (2/(-12) - 1925/450))?
-22/9
What is (98124/37740)
|
{
"pile_set_name": "DM Mathematics"
}
|
sand?
150000
Round 0.003729 to 3 decimal places.
0.004
What is -5180 rounded to the nearest one hundred?
-5200
Round 3.0076 to 2 decimal places.
3.01
Round 1567600 to the nearest ten thousand.
1570000
What is -6030 rounded to the nearest one hundred?
-6000
What is -1.944 rounded to one decimal place?
-1.9
What is -0.000518 rounded to 5 dps?
-0.00052
Round -0.0005258 to four decimal places.
-0.0005
What is 0.0000001061 rounded to seven dps?
0.0000001
Round 0.000003097 to 7 decimal places.
0.0000031
What is 0.028407 rounded to four dps?
0.0284
What is -51100 rounded to the nearest one thousand?
-51000
Round 89970 to the nearest ten thousand.
90000
What is 0.046604 rounded to two decimal places?
0.05
What is -123785 rounded to the nearest 10000?
-120000
What is -51040 rounded to the nearest 10000?
-50000
What is -1.451 rounded to the nearest integer?
-1
What is 0.000763 rounded to four dps?
0.0008
What is -0.000002725 rounded to six decimal places?
-0.000003
What is 6078000 rounded to the nearest 1000000?
6000000
What is -2317200 rounded to the nearest one million?
-2000000
Round -0.0000473 to six decimal places.
-0.000047
What is -170.3 rounded to the nearest ten?
-170
What is -0.00000206 rounded to 7 dps?
-0.0000021
Round -1.35196 to one dp.
-1.4
Round -4790500 to the nearest 10000.
-4790000
What is -0.00008954 rounded to 5 dps?
-0.00009
Round -252.71 to the nearest 10.
-250
What is 3270 rounded to the nearest 100?
3300
Round 2861400 to the nearest 10000.
2860000
Round -1961 to the nearest one hundred.
-2000
What is -0.00016 rounded to 5 dps?
-0.00016
What is -0.3897 rounded to 2 dps?
-0.39
Round 5033000 to the nearest one hundred thousand.
5000000
Round -1170430 to the nearest ten thousand.
-1170000
Round 0.58201 to one decimal place.
0.6
What is -40449000 rounded to the nearest one million?
-40000000
Round -586.4 to the nearest ten.
-590
Round -0.0018738 to 4 decimal places.
-0.0019
What is 0.0000061329 rounded to 7 decimal places?
0.0000061
Round 6.045 to one dp.
6
Round -0.0017819 to five dps.
-0.00178
What is 0.42011 rounded to three dps?
0.42
Round -0.0009842 to 4 dps.
-0.001
Round -0.0000078018 to 6 decimal places.
-0.000008
What is -189000 rounded to the nearest 10000?
-190000
Round 0.6598 to 1 dp.
0.7
Round 119.7 to the nearest ten.
120
What is -0.0010936 rounded to 4 decimal places?
-0.0011
Round 467800 to the nearest 10000.
470000
What is 2.87 rounded to 0 dps?
3
What is 193980 rounded to the nearest 1000?
194000
Round 45340 to the nearest one thousand.
45000
What is -11170000 rounded to the nearest 1000000?
-11000000
Round 0.0743 to three dps.
0.074
What is 0.0738 rounded to two dps?
0.07
Round 0.0008481 to five dps.
0.00085
What is -0.01236 rounded to 3 dps?
-0.012
Round -48.76 to the nearest 10.
-50
What is 527.6 rounded to the nearest one hundred?
500
What is -15176.9 rounded to the nearest one hundred?
-15200
What is -38.46 rounded to the nearest ten?
-40
What is 352520 rounded to the nearest 10000?
350000
What is -0.000041774 rounded to five decimal places?
-0.00004
What is -0.8811 rounded to two dps?
-0.88
What is -906.13 rounded to the nearest ten?
-910
Round -0.000002079 to six decimal places.
-0.000002
What is 0.67788 rounded to two dps?
0.68
Round 0.979 to the nearest integer.
1
Round -207480 to the nearest one thousand.
-207000
Round -0.03261 to 2 dps.
-0.03
Round 116376000 to the nearest one hundred thousand.
116400000
Round -952.23 to the nearest 100.
-1000
What is 873100 rounded to the nearest one hundred thousand?
900000
Round -6.25 to zero decimal places.
-6
What is 7752.3 rounded to the nearest 10?
7750
What is -0.004873 rounded to four dps?
-0.0049
Round 0.00002875 to 5 decimal places.
0.00003
What is -0.000008281 rounded to 7 dps?
-0.0000083
What is -2561000 rounded to the nearest 1000000?
-3000000
What is 154800 rounded to the nearest 10000?
150000
Round 83121 to the nearest ten thousand.
80000
Round 0.01305 to 2 decimal places.
0.01
What is 2.1326 rounded to 1 decimal place?
2.1
What is 0.1184 rounded to one decimal place?
0.1
What is 0.00000012482 rounded to 7 decimal places?
0.0000001
What is -0.08747 rounded to 2 dps?
-0.09
Round -0.5404 to two dps.
-0.54
What is -282.9 rounded to the nearest ten?
-280
What is 28904100 rounded to the nearest one million?
29000000
What is -0.0000042985 rounded to 7 decimal places?
-0.0000043
Round 0.56119 to 3 decimal places.
0.561
Round -8.87 to 1 decimal place.
-8.9
What is 1081.26 rounded to the nearest 10?
1080
What is -0.0000003544 rounded to seven dps?
-0.0000004
Round -0.19 to one dp.
-0.2
Round -0.00729 to three dps.
-0.007
What is 836.6 rounded to the nearest one hundred?
800
Round 1664000 to the nearest one hundred thousand.
1700000
Round 0.00612 to 4 decimal places.
0.0061
What is -79160 rounded to the nearest 10000?
-80000
Round -150008 to the nearest one thousand.
-150000
What is 0.0088755 rounded to three dps?
0.009
Round -9.29 to the nearest 10.
-10
What is -3119000 rounded to the nearest one million?
-3000000
What is -1.591 rounded to 1 dp?
-1.6
What is 11379.4 rounded to the nearest 1000?
11000
What is 3317000 rounded to the nearest 1000000?
3000000
What is -7.087 rounded to the nearest integer?
-7
What is 157.021 rounded to the nearest ten?
160
What is -0.0001545 rounded to five dps?
-0.00015
Round -4.585 to 0 decimal places.
-5
Round 0.00005632 to 5 decimal places.
0.00006
Round 1162660 to the nearest 100000.
1200000
What is 27487 rounded to the nearest one thousand?
27000
What is 29 rounded to the nearest 10?
30
What is -24455000 rounded to the nearest 100000?
-24500000
What is -2290700 rounded to the nearest 1000000?
-2000000
What is 0.000003136 rounded to seven dps?
0.0000031
What is 17262.4 rounded to the nearest 1000?
17000
What is 140.5 rounded to the nearest 10?
140
Round 0.0000062668 to 7 decimal places.
0.0000063
What is -0.00138199 rounded to five dps?
-0.00138
Round -4817500 to the nearest 10000.
-4820000
Round 0.000012403 to 5 dps.
0.00001
What is -280.3 rounded to the nearest 100?
-300
What is 60300000 rounded to the nearest one million?
60000000
What is 278900 rounded to the nearest ten thousand?
280000
What is 0.00005479 rounded to five dps?
0.00005
Round -0.00000513 to 6 decimal places.
-0.000005
What is -2770 rounded to the nearest 100?
-2800
What is 633270 rounded to the nearest 100000?
600000
Round -948300 to the nearest 10000.
-950000
Round 0.59327 to two decimal places.
0.59
Round 1.199 to 1 dp.
1.2
What is 0.0000004161 rounded to 7 decimal places?
0.0000004
What is -0.000000038 rounded to seven decimal places?
0
What is 1025000 rounded to the nearest 100000?
1000000
What is 281.3 rounded to the nearest ten?
280
Round 17921 to the nearest 10000.
20000
What is 2285010 rounded to the nearest 10000?
2290000
Round 0.000008407 to seven dps.
0.0000084
What is 3326.5 rounded to the nearest 100?
3300
Round 0.27636 to two decimal places.
0.28
Round 0.002955 to four dps.
0.003
What is 0.3721 rounded to one decimal place?
0.4
What is -0.04692 rounded to 2 decimal places?
-0.05
What is -59319 rounded to the nearest 10000?
-60000
Round -0.00000061044 to 7 decimal places.
-0.0000006
What is -638.65 rounded to the nearest ten?
-640
Round -0.000593 to 5 dps.
-0.00059
What is -0.00000183606 rounded to seven decimal places?
-0.0000018
What is -1908690 rounded to the nearest 10000?
-1910000
Round -1506 to the nearest one thousand.
-2000
Round 0.00000039385 to 7 dps.
0.0000004
What is -361040 rounded to the nearest 1000?
-361000
Round -0.1834 to two dps.
-0.18
Round -49.134 to 0 decimal places.
-49
What is 418100 rounded to the nearest 10000?
420000
Round -3175960 to the nearest 10000.
-3180000
What is 566000 rounded to the nearest ten thousand?
570000
What is 89350 rounded to the nearest one thousand?
89000
What is 0.00000823 rounded to 7 dps?
0.0000082
Round -18.845 to 0 dps.
-19
What is 64908000 rounded to the nearest one hundred thousand?
64900000
Round 323560 to the nearest 10000.
320000
What is 0.429 rounded to one dp?
0.4
What is -6137 rounded to the nearest 1000?
-6000
What is -0.0002861 rounded to four dps?
-0.0003
What is -0.08695 rounded to 3 decimal places?
-0.087
What is 0.007718 rounded to 4 decimal places?
0.0077
Round 0.0564942 to four
|
{
"pile_set_name": "DM Mathematics"
}
|
lify ((b**(-7)*b*b)/(b**(-2)/b)*(b*((b/(b*(b*b**(2/13))/b*b))/b)/b*b)**4)**23 assuming b is positive.
b**(-1978/13)
Simplify ((g**(2/23)/(g/(g/g**23)))**(-2/15))**(-39) assuming g is positive.
g**(-13702/115)
Simplify (c*(c**0*c)/c*c)/c*c**(1/10)*c**(-1/2)/c**(-7)*(c*c**(1/4))**(-26/7)*c/(c*(c**0/c)/c*c)*(c/c**(2/15))/c assuming c is positive.
c**(803/210)
Simplify ((n*n*n/n**0*n)/n*n)**(-2/5)*(n/n**20)**(-9) assuming n is positive.
n**(847/5)
Simplify (v**(3/7)*(v**(1/18)/v*v)/v*(v/v**(-11)*v*v)/(v**3/v))**(-1/3) assuming v is positive.
v**(-1447/378)
Simplify (w**(3/7)/w*w*(w**(-1/6)*w)/w)**33*(w*w**1)**(-11/9)/((w*w**(4/9)*w)/w*w**(-2/9)) assuming w is positive.
w**(209/42)
Simplify (k*k/(k**(-5)/k)*k*k)/k*k**2*k**(-2/13)*(k*(k/(k/(k/(k**4*k))))/k*k)/k*((k**1)**26)**2 assuming k is positive.
k**(765/13)
Simplify ((u*(u**(8/5)*u)/u)**(-31)*(u/u**(-1/3))**17)**18 assuming u is positive.
u**(-5214/5)
Simplify (c/c**2)**(-2/35)/(c*c**0)**(-21)*((c/((c*c**3)/c))/(c*c*c**(1/6)))/(c**(-2/7))**(-1/32) assuming c is positive.
c**(28361/1680)
Simplify (((u**(-6)*u)/(u*u/(u**(2/3)*u)))/(u**(7/4)/(u**(6/5)*u)))/(((u/u**0*u)/u)**(-1/5)/(((u*u**(-2/15)*u)/u)/u*u*u**(-4/7))) assuming u is positive.
u**(-1843/420)
Simplify ((p**(6/5)/p)/p**(-2/23))/(p/(p/(p/((p**(-1/3)*p*p)/p)))*p*p**(-4)*p)*(p/((p/p**(-1/3))/p))**(-1/2)*(p**(-1/2)/p)/p**(-6) assuming p is positive.
p**(4223/690)
Simplify ((m**(2/13)/(m*m*m/(m/((m*m*(m/(m/(m/(((m**(-18)/m)/m)/m))))/m*m)/m))*m*m*m))/(m**(-1/11)/(m*m/(m*m**(-21)*m))))**(-50) assuming m is positive.
m**(48300/143)
Simplify ((g*g*g**(-2))/g**(3/2))/(g**(-1/3)/((g*g**(-1/7)/g)/g*g))*g/g**6*g**(-3)*g*g**(2/11)/((g/(g/(g/(g**(1/10)/g)*g)*g))/g*g) assuming g is positive.
g**(-11582/1155)
Simplify (((h*h**(-7))/h*h*h**(-11))/(h**10*h*h*h*h**(1/9)*h*h))**33 assuming h is positive.
h**(-3179/3)
Simplify (w**(-19)/(w/((w/(w**14*w*w*w))/w))*(w**(6/11))**(-22))**(22/3) assuming w is positive.
w**(-1078/3)
Simplify x/x**(1/67)*x*x*(x/x**(-2/23))/x*x/x**(3/2)*x/x**(-14/3) assuming x is positive.
x**(76175/9246)
Simplify ((d/(d**(1/3)/d))**49)**26*(d*(d*d**11*d)/d*(d/(d*d/(d/d**(3/5))))/d)**23 assuming d is positive.
d**(35783/15)
Simplify (z*z**(-5)*z**(-1/5)*z)/((z*z**5)/(z**(-1/4)/z))*(z**(-1))**6/(z**(-2/7)/z)**(-12) assuming z is positive.
z**(-4463/140)
Simplify c*c**2/c*c*c**(4/3)*((c/(c/c**(-1/2)))/c)**(-2/63)*(c**(-2/9)*c*c/(c*c*c/c**(-1/4))*c)/(c*((c/c**0*c)/c)/c*c**(-1/6)) assuming c is positive.
c**(775/252)
Simplify ((x**(15/7))**(-8)/((x*(x**(4/7)*x*x)/x)/(x**(1/7)*x)))**42 assuming x is positive.
x**(-780)
Simplify (n/(n/n**(-1))*n/(n*n**(2/7)))**(-15)*(n/n**(3/5)*n/n**3)**46 assuming n is positive.
n**(-1901/35)
Simplify (s**(-7)*s/(s/(s**4*s*s)))/(s/s**(2/7)*s*s)**(-1/4)*(s**(-2/3))**20*((s*s**(-1/4))/s)**33 assuming s is positive.
s**(-460/21)
Simplify ((z**31/z)/z)**(-2/53)*((z*z**(-1/8)*z)/z)/(((z**(2/137)/z*z)/z)/z) assuming z is positive.
z**(102587/58088)
Simplify (n**(12/11)/((n*n*n**30)/n))/(n**(-29)/n**33) assuming n is positive.
n**(353/11)
Simplify ((d*d*d/(d*d**47*d)*d**(-3/13))/(d**45*d*d**27/d))**(1/3) assuming d is positive.
d**(-1537/39)
Simplify (d/(d**(6/7)/d*d)*d/d**(-2)*(d*d**(-2))/(d**(-13)*d*d))**(1/11) assuming d is positive.
d**(92/77)
Simplify ((w/(w/w**(3/20))*w*w**0)/(w*w**(5/8)*w*(w*w**(-2/11))/w))**(16/11) assuming w is positive.
w**(-1138/605)
Simplify ((((r**1)**(-9/4))**(-50))**(2/13))**(-5/6) assuming r is positive.
r**(-375/26)
Simplify (((r/(r/r**(2/3)))/(r/r**(-1/14)))/(r**1*r)**(28/3))**(1/8) assuming r is positive.
r**(-267/112)
Simplify ((o*o/(o/(o**(12/7)/o)))**40/(o/o**(6/5))**44)**21 assuming o is positive.
o**(8124/5)
Simplify (j/j**(-3)*j/j**(-1/7))**(-47)*(((j/(j/(j*(j*j/(j*j/(j/(((j**(-1/7)/j*j)/j)/j)))*j*j)/j)))/j)/(j**(1/12)*j))**(-15) assuming j is positive.
j**(-8053/28)
Simplify ((h/(h*h/(h/(h*h/h**(-2))*h))*h)**(-1/13))**4*(((h*((h**2*h)/h*h)/h*h*h)/h)**21)**(-2) assuming h is positive.
h**(-2176/13)
Simplify w/(w/(w/(w*w/w**(7/6))))*(w/w**(9/7))/w*(w/w**(-47))/(w*w*w/w**46*w) assuming w is positive.
w**(3733/42)
Simplify ((m**2*(m/(m**(-2/5)/m))/m*(m*m*m**7/m)/(((m*m**(-2/15)*m*m)/m)/m))**(-3/34))**(-9/4) assuming m is positive.
m**(711/340)
Simplify (d**(-1/21)*d**(-5/8)*d**(-12)*d/(d**17*d))**10 assuming d is positive.
d**(-24925/84)
Simplify (g*g**(-12)*g/(g/g**(-3/7)))**(4/25)/(((g/g**(-2/5))/g*g)**(-1/2)/(g**(-1)/(g*g/(g/g**6)))) assuming g is positive.
g**(-639/70)
Simplify (p**7*p*p*p**(2/3)*p)**(-45)/(p**(-3/8)*p**(-3)*(p**0/p)**(-2/9)) assuming p is positive.
p**(-34333/72)
Simplify ((q*q**(9/5))/q**(-2/15)*(q*q*q**(8/9)/q*q)/(q**30*q))**19 assuming q is positive.
q**(-21527/45)
Simplify (n**(-1))**(41/4)*(n/n**(1/2))/((n/(n*n*n**(-4)))/n)*n**(-3)/(n**(1/2)/n)*n*n**(2/3)*n*n*(n/n**1)/n*n*n assuming n is positive.
n**(-115/12)
Simplify d**18*d**(-12)*d**(22/5)/d*d*d*d/(d/d**(7/8)) assuming d is positive.
d**(491/40)
Simplify s**(-3/5)/(s/s**1)*((s*s/((s**(-6)*s)/s)*s*s)/s)/((s*s**(-2))/s)*(s/(s*(s*s*s*s**(-2)*s)/s))**22/(s*s*s/(s**(-9)/s*s)*s**0) assuming s is positive.
s**(-118/5)
Simplify (m*m/(m*m**(-2/5)*m)*(m/(m*m**(-2/3)*m))/m)/(m**(-1))**(1/5)*(m*(m*m/(m**(1/2)/m)*m)/m*m)**(-28)/(m/m**7*m*m*(m**(-5)*m)/m) assuming m is positive.
m**(-1766/15)
Simplify ((n**(-16)*n)/n)**(-37)*n**(-27)*n*(n*n**(4/3)*n)/n assuming n is positive.
n**(1705/3)
Simplify ((d**0)**31/(d**(-2/7))**31)/((d**1)**(-40)*(d**1)**18) assuming d is positive.
d**(216/7)
Simplify ((i/(i**(2/5)*i))**(-9/8))**45*(i/(i**(2/23)*i))/((i*i*i/i**(-3)*i)/i)*(i*i/(i**(-2/3)/i))**(2/117) assuming i is positive.
i**(459377/32292)
Simplify ((w/((w*w*w**1)/w))**(23/4)*(w/w**(-5))/(w/((w**(-2)/w)/w)))/((w*w*w*w**(2/5))**(-47)*w**(4/3)/(w*(w*w/(w**(-5)*w))/w*w)) assuming w is positive.
w**(9643/60)
Simplify (s/s**5)/(s*s**(1/6))*(s**0)**(-6/13)*(s**(-1/2))**(-50)*(s*s**(-1)*s)/s**(-1/3) assuming s is positive.
s**(127/6)
Simplify (b*b*b*b**(3/7)/b*(b*(b*b**(10/7)/b)/b)/b)/(b**(-1/19)*b)**(3/4) assuming b is positive.
b**(571/266)
Simplify ((((((k*k**(10/9)*k)/k)/k)/k**(-2/37))**(-17/3))**(2/45))**(-1/18) assuming k is positive.
k**(6596/404595)
Simplify (b**1)**15/((b*b**(-4)*b)/b**(2/3))*((b*b/(b/(b/(b/((b/(b**(-3/8)/b))/b)))))/(b*b**(-2)))**(-8/3) assuming b is positive.
b**(26/3)
Simplify (((r/r**(-2/7))**39*((r*r**(7/3))/r)/r**(4/11))**(-1/21))**29 assuming r is positive.
r**(-349102/4851)
Simplify (((p*p**(3/7)*p)/p*p**(-3)/p)/(p/(p*p/(((p**(-1)*p)/p)/p)))**20)/(((p**(2/5)/p)/p*p)/(p/(p/p**4)))**(-4/37) assuming p is positive.
p**(73726/1295)
Simplify (((j/(j*j**0))/((j**(-2/7)*j)/j))/(j*j**(1/11)*j**(-1/5)))/((j/(j*j**(1/4)/j))**(-2)/((j/j**(2/7))/j**(-1))) assuming j is positive.
j**(287/110)
Simplify ((x**(6/17)/x)/(x/x**(-8/11)*x)*x**(-4/5)*(x/x**27)/x)**(2/31) assuming x is positive.
x**(-58296/28985)
Simplify (g/((g*g**(-2/81))/g)*g*g**44)/(g/g**(2/5)*g*g**(-40)) assuming g is positive.
g**(34192/405)
Simplify (c**(-2/23))**40/(c**38*c*(c*((c**(-36)*c)/c)/c)/c*c) assuming c is positive.
c**(-149/23)
Simplify ((v*v*v**(-1))/v)**(35/2)/(v/v**0)**(-13)*(v*v/(v*v**5*v)*v*(v/v**(2/5))/v)/(v**0*v)**(-46/7) assuming v is positive.
v**(531/35)
Simplify ((((((i*i/i**8)/i)/i*i)/i)/(i/i**(2/9)))/(i/((i/(i/i**(2/9)))/i)*i**(1/2)*i))/((i**6/(i/(i/i**(-4/5))))/(i**(2/5)/i**(1/6))) assuming i is positive.
i**(-838/45)
Simplify ((b**(-1/4))**(-41/2))**(3/8)/(b/(b/b**6)*b*b**(-1/2)*b*b**(1/7)*b/(b/b**(1/5))) assuming b is positive.
b**(-13263/2240)
Simplify (((f*f*(f*f*f**3)/f*f*f)/f*f*f)**16/(f/f**(-1/2))**(2/29))**(-19) assuming f is positive.
f**(-79287/29)
Simplify ((((h**(2/7)/h)/(h/h**(2/5)))/((h*(((h*h**3)/h)/h)/h)/(h/(h/(h*h**6*h)))))**(-2/73))**31 assuming h is positive.
h**(-10168/2555)
Simplify (n**(-1)*n)**(11/2)*(n**(-2/5))**(-50)*(n/(n**(2/19)/n*n)*n**(-5))**(-47) assuming n is positive.
n**(4046/19)
Simplify (((q**(1/2)*q)/q)**(2/9)/(q/(q**0/q*q))**(-27))/((q**(-2))**(1/9))**(-3) assuming q is positive.
q**(238/9)
Simplify ((j**4*j/j**2)/(j/j**(1/11))**(-3/34))**(-1/6) assuming j is positive.
j**(-96/187)
Simplify (((h**(2/79)*h)/h)/h**(1/4)*h*h**(13/4)*h*h**30/h)**(-11) assuming h is positive.
h**(-29568/79)
Simplify (z**(13/3)*z)**35*(z**44/z)/(z**(-26)/z) assuming z is positive.
z**(770/3)
|
{
"pile_set_name": "DM Mathematics"
}
|
y, -5?
-2
Let z = -593 + 632.9. Let x = z + -40. Let i be (-1 + 1)/(2/2). Which is the smallest value? (a) x (b) i (c) -0.4
c
Let k = 6.12 + -0.12. Let h = k + -12. Let d = 760.7 + -761. Which is the second biggest value? (a) d (b) h (c) -1
c
Let d = -26/55 - -3/11. Let q = -443/5 - -89. Let g = -2 + 5. Which is the smallest value? (a) g (b) q (c) d
c
Let n = 0.0026 + 0.2974. Which is the second smallest value? (a) n (b) -2/13 (c) -4/5
b
Let m = -14 - -23. Let s = -25 - -27. Let g be (-2)/(-3)*(0 - 1). What is the second biggest value in g, s, m?
s
Let h = -190.6 - -191. What is the smallest value in 0.34, -1, h, -4?
-4
Let s = -749/2229 + 2/743. What is the biggest value in -4, -2/507, s?
-2/507
Let j(p) = p - 16. Let s be j(19). Let o = 0.3 + 0.7. Which is the second biggest value? (a) 2 (b) 6 (c) s (d) o
c
Let d = -8 - -4. Let b = 2.9 - 3. Let y = 9.5 + -10. What is the second smallest value in d, y, b?
y
Suppose 0 = 1029*b - 1033*b - 16. What is the smallest value in 0, b, 2, 1/46?
b
Let j = 728 - 727. Which is the third smallest value? (a) -13 (b) j (c) -0.6
b
Let g = 62.13 - -2.67. Let l = g + -65. Which is the third biggest value? (a) 5 (b) l (c) -1/3 (d) 0
b
Let f = 458 + -457.8. Which is the third smallest value? (a) -2/3 (b) f (c) 44 (d) 1
d
Let s = -5.07 - -0.07. Let j = -0.10721 - -0.70721. Which is the second smallest value? (a) -3 (b) s (c) j
a
Let d = 0.46 - -0.14. Let h = d + -0.24. Let v = h - -0.04. What is the smallest value in 5, v, -0.2?
-0.2
Let s = 66 + -110. Let l = s - -44.3. Let z be -3 + (-2)/(22/(-35)). Which is the second biggest value? (a) z (b) 4 (c) l
c
Let i = -3.33 - 6.17. Which is the second smallest value? (a) 0.5 (b) i (c) 4/5
a
Let v = -1.5 + 6. Let t = -2.5 + v. What is the biggest value in 1, t, 4?
4
Let q be 287/(-9)*(-18)/12. Let v be (-28 - 2)*48/(-30). Let u = v - q. Which is the third biggest value? (a) u (b) 1 (c) -3/2
c
Let h = 371 - 374. Which is the fourth biggest value? (a) h (b) -1/4 (c) -0.1 (d) 5
a
Let f be 1 + 1 - (44/(-11))/4. What is the third biggest value in -2, 1, f?
-2
Let w be 7 - (6 + (-10)/(200/(-35))). What is the third smallest value in -4.3, w, 1/22?
1/22
Let w = -6.9 - -1.9. Let a = 25/22 - -4/11. What is the second biggest value in -4/7, 2/3, a, w?
2/3
Let u = 197.97 - 198. Which is the third biggest value? (a) u (b) 2/3 (c) 10
a
Let t be (-10)/(-6)*(2 + (-8)/10). Suppose t*i + 2 = -6. What is the biggest value in -3, 12/11, i?
12/11
Let l = -77 - -76.6. Which is the biggest value? (a) 3 (b) l (c) 2
a
Suppose -5*q + 6*q - 5*t + 9 = 0, -3*t + 11 = 5*q. What is the second biggest value in q, -17, 2?
q
Let h(u) = 63*u + 1. Let q be h(3). Let f = -3608/19 + q. Let z = -19 + 18.95. Which is the biggest value? (a) f (b) z (c) 3
c
Let z be (18/2)/(-3) - -3. Let l be z + 6729/(-24)*-1. Let p = 280 - l. Which is the smallest value? (a) 3 (b) -4 (c) p
b
Let k = -3179 + 3178.8. Let p = -2.98 - 0.02. Which is the fourth biggest value? (a) k (b) p (c) 0.7 (d) -0.4
b
Let s be (-2 - 2) + 189/27. Which is the second biggest value? (a) 2/61 (b) -3/16 (c) s
a
Let r be (2943/585 + -5)*-5. Which is the smallest value? (a) r (b) 1/30 (c) 0.5
a
Let v be (-5 - -3)*4/35. Let z = v - -10/7. What is the third biggest value in 4, -4, z?
-4
Let v = -2299/13 - -177. Let q = 3 - 2. Let u = -14.8 + 0.8. Which is the second smallest value? (a) q (b) v (c) u
b
Let h = 16.7 + -22.7. Let n = 2.6 - 0.6. Let s = n + h. Which is the second biggest value? (a) s (b) 0.4 (c) 2/9
c
Let w = 1444 - 1439. Which is the third biggest value? (a) -33 (b) -2 (c) w
a
Let g = 0.04 - 4.04. Let h = g + 6. Let r = 3034 - 3038. Which is the smallest value? (a) r (b) h (c) -3
a
Let s = -293/355 - -16/71. What is the smallest value in s, 4, -6, 1?
-6
Let s(r) = r**3 - 12*r**2 + 2*r - 16. Let a be s(12). Let o(h) = h**3 - 8*h**2 - h + 5. Let d be o(a). What is the third biggest value in d, -0.3, -1/6?
d
Let x = 311 + -330.3. Let g = -19.5 - x. Let t = 0.5 + -0.56. Which is the third smallest value? (a) t (b) 2 (c) g
b
Suppose -6 = -0*h - 2*h. Suppose 5*f + 2*l - h*l - 232 = 0, -5*f - l = -228. Let j = -139/3 + f. Which is the biggest value? (a) 2 (b) j (c) -6
a
Let k = -17.76 + 13.36. Which is the biggest value? (a) k (b) -4 (c) 3/7
c
Let d = 15 + -15. Let j be (1 + 6 - 7) + (-4)/6. What is the smallest value in j, 0.4, d, -1/4?
j
Let q = 491 - 496. What is the fourth smallest value in 2/7, q, 3, -2/3?
3
Let w = 115 - 112. Which is the biggest value? (a) -0.034 (b) -2/5 (c) w
c
Let r = -112/195 - 6/65. Which is the second smallest value? (a) -15 (b) -0.2 (c) r
c
Let n = -52 - -65. Suppose -10*q + n*q - 9 = 0. Let j = -2 - -7/4. What is the third biggest value in j, -0.04, q?
j
Let k be (1 - (-11)/(-6))*384/(-640). Let n be ((-2)/5)/(23/5). Which is the biggest value? (a) k (b) n (c) 0.1
a
Let k be ((-5)/(-20))/(-2 + 10/8). What is the fourth smallest value in -5, -10, 1, k?
1
Let m = 284/1001 + -10/77. Let w(p) = -p + 29. Let l be w(11). What is the third smallest value in 0, m, l?
l
Let k = 2 + 2. Let m = -0.3 - -0.3. Let o = -556 - -552. Which is the second biggest value? (a) m (b) o (c) k
a
Let j = 22/29 - 344/377. What is the biggest value in 0.1, j, -0.1, -2/3?
0.1
Let g = 65 - 51. Let l = g + -11. What is the second smallest value in -0.03, l, -1?
-0.03
Let d = 440 - 897/2. What is the second smallest value in 3, d, -8?
-8
Let a be 42/(-45) + (-2)/(-6). Let p = -86 - 18. Let s = 107 + p. What is the third biggest value in a, -5/3, s?
-5/3
Let v = 301.7 + -303.2. What is the smallest value in v, 0.1, -32?
-32
Let u = 5/21 - 40/21. Let y = -222.8 + 221.8. What is the third biggest value in -3, u, y, 5?
u
Let g be (-9*10/(-135))/4. Which is the third biggest value? (a) g (b) -4 (c) 0.1 (d) 0
d
Let v = -73.1 - -74.1. Which is the third smallest value? (a) 2/9 (b) -0.5 (c) v
c
Let o = 9 + -8.3. Let a = -5.3 - -6.1. Let w = o - a. What is the second biggest value in w, -4, 0.5?
w
Let v = 4.353 + -0.053. Let k = v + -4. Which is the second biggest value? (a) -1 (b) k (c) -2/15
c
Let n be (1528/190 - 8)/((-2)/15). What is the fourth smallest value in 2/5, -0.4, -0.5, n?
2/5
Let r = -32 - -28. Let h be (15/(-4))/(6/4). Which is the third biggest value? (a) r (b) h (c) 0.5
a
Let p be 1*(2 + (-15)/7). Let o(n) = -n**3 - 10*n**2 - 23*n + 14. Let z be o(-5). Which is the biggest value? (a) p (b) 4/3 (c) z
c
Let q = 272 - 269. Which is the fourth smallest value? (a) -1.3 (b) -2 (c) -0.1 (d) q
d
Let n = 1300.8 + -1301. What is the fourth smallest value in 15, -0.1, 0, n?
15
Let t = -12.6 + -6.1. Let q = -17.7 - t. Let b be (-27)/(-6)*(-8)/(-6). What is the biggest value in b, q, -0.3?
b
Let w(a) = -4*a**2 - 2*a + 2. Let p be w(-2). Let s = 14 + p. Suppose -s*k = 2 - 22. What is the second smallest value in k, -2, 4?
4
Let v = -52 - -48. What is the smallest value in v, -0.3, 7, 0.5?
v
Let j = 119 + -119.3. Which is the smallest value? (a) -29 (b) j (c) 1/5
a
Let n = -0.07 - 4.93. Let z = 636 + -632. What is the smallest value in z, n, 0?
n
Let a = -0.5 - -10.5. Let y = a - 9. What is the second smallest value in 3/4, y, -4?
3/4
Let g be 0 - -1 - (-17)/(-19). Let n(y) = y**3 - 8*y**2 - 6*y + 5. Let v be n(8). Let w = -38 - v. What is the second biggest value in 3, g, w?
3
Let c = -3.03 + 3.23. Let q = 2 - 2.2. What is the biggest value in q, -2, c?
c
Let p(w) = 10*w + 19. Let j be p(-10). Let q = j + 113. Let k be (-16)/(-42) + q/112. Which is the smallest value? (a) -1 (b) 0.2 (c) k
a
Let w = 0.6 - -4.4. Let d = -44.8 + 50. Let v = w - d. Which is the second smallest value? (a) -0.3 (b) 1 (c) v
c
Let z = 45 + -32. Let h = 2899/4 - 725. What is the second smallest value in h, z, 4?
4
Let c = -5 - 0. Let j = 150 - 97. Let d = j + -55. What is the second biggest value in -0.4, c, d?
d
Let f = -22 + 35. Let l = 18 - f. What is the smallest value in 0.1, 0.5, -1.8, l?
-1.8
Let t = 2/50841 + 11296/50841. Let b = 1 - 1. What is the second biggest value in b, -4, -2, t?
b
Let x = -188/2323 - 5/101. Which is the third smallest value? (a) 2/7 (b) -1/3 (c) x (d) -3
c
Let l = -34 - -34. Let q = -3597/7 + 513. Which is th
|
{
"pile_set_name": "DM Mathematics"
}
|
e (-14)/5*(l + 6). What is the units digit of (-74)/p + 4/(-14)?
5
Let t(s) = -s + 1. Let n be t(4). Let m = -1 - n. Let u(a) = a**2 - 2*a + 1. What is the units digit of u(m)?
1
Let n(g) = -9*g + 9. What is the tens digit of n(-4)?
4
Let d(y) = -y**2 + 4*y. Let q be 9/(-6)*(-8)/3. Let m be d(q). What is the tens digit of (-18)/(-1) - (m - -2)?
1
Let s(o) be the third derivative of -o**4/24 + 5*o**3/6 - o**2. Let r be s(6). Let v(d) = -d. What is the units digit of v(r)?
1
Let l = -17 + 36. What is the units digit of l?
9
Let l = 608 + -317. What is the hundreds digit of l?
2
Let u(l) = 79*l + 30. What is the units digit of u(3)?
7
Let r = 50 + 50. Suppose 3*f = -0*f + 3*s + 93, -4*s = 3*f - r. What is the tens digit of f?
3
Suppose 2*u - 17 = -6*a + 3*a, 0 = -2*u - a + 11. Suppose 0 = -5*g + u*g + 1. Let p = 3 - g. What is the units digit of p?
2
Suppose 0 = 5*m - 5*q + 155, -m + 3*q - 5 - 16 = 0. Let b = 54 + m. What is the units digit of b?
8
Suppose 4*a - 91 = 325. What is the units digit of a?
4
Let f(v) = v**3 + 7*v**2 + 7. What is the tens digit of f(-6)?
4
Suppose 0*l + 4*o = 2*l + 24, -l - 3*o = -13. Let f(b) = -b - 1. Let k be f(-1). What is the units digit of 1 - -2 - (k - l)?
1
Let k(j) = j**3 + 8*j**2 - 11*j + 1. What is the tens digit of k(-9)?
1
Let l(g) = g**2 + 2. Let i be l(0). Let u = 7 + i. What is the units digit of u?
9
Let g(i) = -2*i**2 + 3. Let d be g(-3). What is the tens digit of (-5)/(d/(-96))*-1?
3
Let o = -8 + 12. What is the units digit of o?
4
Let h(u) = 13*u + 101. What is the hundreds digit of h(14)?
2
Suppose -35*h = -36*h + 15. What is the tens digit of h?
1
Let o be 34/8 - (-2)/(-8). What is the units digit of (o/8)/(2/12)?
3
Suppose -5*r = -b - 4, 4*r + 1 = -b - 3. Suppose -5*j + 3*t = t - 180, r = 2*j + t - 72. What is the tens digit of j?
3
Let x(k) = -k**2 - 14*k - 8. What is the units digit of x(-8)?
0
Suppose r = -3*q + 34, 48 = -3*r - q + 134. Let d = r + -17. Let l(t) = -t + 20. What is the units digit of l(d)?
9
Let y be (3 - 1)*(-9)/(-6). Suppose -4*b + y*w = -2*w - 76, 3*w = -3*b + 57. What is the tens digit of b?
1
Let y be (-8)/6 + 16/(-6). Let v(m) = -10*m**2 - m + 1. Let g be v(1). Let x = y - g. What is the units digit of x?
6
Let x(d) = -2*d - 6. Let k be x(-5). Suppose 0*j - 4*j = 4*n, k = -j - 2*n. Suppose j*h - 6 = h. What is the units digit of h?
2
Let r be ((-4)/6)/(2/(-6)). Let s(l) = 7*l - 1. What is the units digit of s(r)?
3
Let f(t) = 3*t. Let b be f(5). What is the units digit of ((-10)/b)/((-2)/15)?
5
Let h(r) = -r**3 - 6*r**2 - 2. Suppose 38 = -5*u - 4*k, -4*u + 0*u - k - 26 = 0. Let j be h(u). Let d(q) = -q**3 - q**2 + 2. What is the units digit of d(j)?
6
Let i = 90 - 53. What is the units digit of i?
7
Let f = -29 + 20. Let h = f + 16. What is the units digit of h?
7
What is the tens digit of ((-614)/(-4))/((-3)/(-6))?
0
What is the hundreds digit of 1230/8 - ((-45)/12)/(-5)?
1
Let n be -1 + 3/((-9)/(-6)). Let o be n - 1/(1 - 2). Suppose 2*a = -o*a + 20. What is the units digit of a?
5
Let i(v) = v - 1. Let w(p) = p**3 - 4*p**2 - 4*p. Let x(a) = -3*i(a) + w(a). What is the units digit of x(6)?
3
Let d(p) = 35*p**2 + 4*p + 3. What is the tens digit of d(-1)?
3
Let k(z) = z**2 - 1. Let n be k(0). What is the tens digit of 219/12 - n/(-4)?
1
Let x(m) = -m**3 - 5*m**2 - 4*m - 2. Let s(v) = v**2 + 7*v + 5. Let u(h) = h**3 + 6*h**2 + h + 1. Let k be u(-6). Let c be s(k). What is the tens digit of x(c)?
1
Let c(n) = -n + 1. Let y be c(-5). Suppose 2*q = 5*q - y. What is the units digit of q?
2
Let p(i) = -i**2 + 8. Let w be p(0). Let r(f) = -f**2 + 8*f + 8. What is the units digit of r(w)?
8
Suppose 6*j - 5*j - 68 = 0. What is the tens digit of j?
6
Suppose -3*k + 19 = -11. Suppose 5*i = k*i - 140. What is the tens digit of i?
2
What is the tens digit of 531/54 - 2/(-12)?
1
Let j be 1*2/2 + 24. Let v = 2 + j. What is the units digit of v?
7
Suppose -6 = y - 5*o, 4*y - 14 = -0*y + o. Suppose -y*g = -1 - 3. Suppose 3*j - 2 - g = 0. What is the units digit of j?
1
Let d(c) = c**2 + 9*c + 6. Let r be d(-7). Let n be 2/(-6)*(-1 + r). Suppose -3*b - n = -15. What is the units digit of b?
4
Suppose -2*u + 37 = -9. Let a = u + 8. What is the tens digit of a?
3
Let y(i) = -i**3 - 10*i**2 - 9*i + 6. Let m be y(-9). Suppose -m*j + j = -15. Suppose j*h - 40 = -h. What is the units digit of h?
0
Let g = 12 - -25. Suppose 3 = 5*n - g. What is the units digit of n?
8
Suppose -2*w = -5*q - 4*w + 19, 2*q - 22 = 4*w. Suppose q*k - 1 = 79. What is the units digit of k?
6
Let y = 6 + -6. What is the units digit of -1 + (3 + 0 - y)?
2
Let n be (-2 - -4)*(-9)/(-6). Let w = n - -24. What is the units digit of w?
7
Suppose 0*c + 392 = 3*c + m, 4*m = -2*c + 278. What is the hundreds digit of c?
1
Let w be 2 + 5/((-15)/(-9)). Suppose -3*f - 43 = -w*g, 4*g + 2*f = f + 31. Let x(s) = -s**3 + 7*s**2 + 10*s - 2. What is the tens digit of x(g)?
1
Let h be 53/5 + (-6)/(-15). Let t = h + -2. What is the units digit of 8/36 - (-7)/t?
1
Let t(m) = -m**3 - 2 - m - 29*m**2 + 36*m**2 + 4. What is the tens digit of t(6)?
3
Let u(t) = 48*t**3 - 2*t**2 + 1. What is the units digit of u(1)?
7
Suppose -27*s - 168 = -31*s. What is the tens digit of s?
4
Suppose 20 = -2*q + 2*j, -26 - 12 = 5*q - j. Let y = q - -10. Suppose y*b + 0 = 42. What is the tens digit of b?
1
Let b = -28 + 41. What is the tens digit of b?
1
Suppose 2*i = -0*x - 2*x, -5*i = -x + 18. Suppose -14 = d - x*d. What is the units digit of d?
7
Let g be (2/3)/((-2)/(-6)). Let r be 1 - 2/(-1)*1. Suppose -5*x + 30 = -r*k, -23 = 5*k + g. What is the units digit of x?
3
Let c(f) = f - 1. What is the units digit of c(2)?
1
Let k(b) = b**2 - 6*b - 2. Let s be k(6). Suppose 0 = -4*z + 2*y + 50, 75 = -0*z + 5*z - 5*y. What is the units digit of ((2 + z)/s)/(-1)?
6
Suppose 0*h = -3*h + 15. Let n(b) = 3*b - 2*b**2 + h*b**2 - b**2. What is the units digit of n(-3)?
9
Suppose z = -0 + 5. Let j = 3 - z. Let p(v) = -7*v. What is the units digit of p(j)?
4
Let q(g) = -g**3 + g + 19. Let x = -4 + 4. What is the units digit of q(x)?
9
Let l(x) = -40*x**3 + 3*x**2 + 10*x + 7. What is the units digit of l(-2)?
9
What is the tens digit of -1 + 20 + (9 - 12)?
1
What is the units digit of (180/(-175))/((-4)/(-10))*-21?
4
Let w = 75 + -125. Let h = -23 - w. What is the units digit of h?
7
Let z = 25 - -4. What is the units digit of z?
9
Suppose 4*t = 3*r - 6*r + 119, t + 4*r - 20 = 0. What is the tens digit of t?
3
Let g = -5 - -53. What is the units digit of g?
8
Let q = 1 - -2. Suppose 3*p + 13 = m, 0*m + 5*m - 65 = q*p. What is the tens digit of m?
1
Let y(c) = 5*c - 3. What is the units digit of y(6)?
7
Let y = -25 - -106. Suppose 0 = 2*q + q - y. What is the tens digit of q?
2
Let s(p) = -p**2 - 2*p + 3. Let h(t) = 4*t**2 + 6*t - 9. Let k(a) = 2*h(a) + 7*s(a). Let r = 18 + -21. What is the units digit of k(r)?
8
Suppose 0*l + 4*p + 6 = -l, 0 = 4*l + 4*p + 12. What is the units digit of (85 - 3)*(-1)/l?
1
Let r be -1*(0 - 1) - -1. Let s(f) = -f**2 + f**r - 2*f**2 + f**3 - 1 - f. What is the units digit of s(3)?
5
Let l(s) = -3*s + 44. What is the units digit of l(-19)?
1
Let i = 13 + -8. Suppose 3*d - 68 = i*y, -4*y = -y + 12. What is the tens digit of d?
1
Let i(z) = -7*z - 6. Let a be i(-10). Suppose o = 2 - 1, 0 = -2*v + 4*o + a. What is the tens digit of v?
3
Suppose -5 = -3*i + 4. Suppose 3*g - 211 = -5*d + 4*d, 5*d = -i*g + 215. Suppose 3*j - 8*j = -g. What is the tens digit of j?
1
Let b be 6*8/(-6) - -3. What is the units digit of (-16)/20*(b + 0)?
4
Suppose -2*k = 6, -2*c + 4*k + 95 = k. What is the tens digit of c?
4
Let q(u) = 226*u**2 + u + 1. Let y be q(-1). Suppose 3*k = 4*v + y, 0*k - 56 = v - k. What is the units digit of 4/(-18) - v/18?
3
Let s = 21 + -7. What is the units digit of (48/s)/((-16)/(-168))?
6
Let c = -98 - -166. What is the units digit of c?
8
Let v(t) = 3*t**3 + 2*t**3 - 3*t**3 + 3 - 4*t + t**2 - 3*t**2. What is the tens digit of v(3)?
2
Let z be 2/((8/5)/4). Suppose -2*x = -5*c - 9, z*c - c + 12 = 4*x. What is the units digit of 12 - x - 0/(-1)?
0
Let y(a) = -a**3 - 8*a**2 - 8*a - 6. What is the units digit of y(-7)?
1
Suppose 5*p + 5*m = 4*m + 42, -2*p + 10 = -3*m. Let d(x) be the first derivative of -x**4/4 + 3*x**3 - 9*x**2/2 + 10*x - 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
2? (a) 0.3 (b) u (c) 3
c
Let k = 0.33 + -0.23. Let m = 0.06 + -0.46. Which is the nearest to k? (a) -0.2 (b) -4 (c) m
a
Let n(h) = h**3 + h**2 - 4*h - 3. Let j be n(-3). Let i be (-5)/6 - 3/j. Which is the nearest to 0.1? (a) 1/2 (b) 2 (c) i
a
Let w = 1 - 1.1. Let p = 0.5 + 0. What is the closest to w in p, -5, -0.5?
-0.5
Let q be (-2 - (-2 - -4))/2. Let n = q - -16/7. What is the closest to -2 in -2/11, -1, n?
-1
Suppose -2*h + 7 + 1 = 0. Let d be h/(-12) - (-7)/6. Let m = 0.5 - -3.5. Which is the closest to -2/5? (a) d (b) m (c) -3/5
c
Let l(p) = 4*p + 1. Let a be l(-4). Let i = -29/2 - a. What is the closest to -1 in i, -2, -5?
-2
Let i = 1/9 - 17/72. Let z = -22 - -43/2. Let f = 5 + -8. What is the nearest to -1 in i, f, z?
z
Let b = -2.5 + 2. Let n = 135/92 - -3/92. What is the closest to 0 in n, -1/5, b?
-1/5
Suppose -24 = 7*f + 4. What is the closest to -1 in f, 4/3, 5?
4/3
Let r(o) = -o**2 - o + 1. Let a be r(-3). Let z = -8.03 + 0.03. Let y = 8 + z. What is the closest to -1 in -4, a, y?
y
Let r = 22 + -22.5. Suppose -4*g + 29 = 5*t, 4*t - 2 = 3*g - 16. Let h be (g/9)/((-14)/6). Which is the nearest to -0.1? (a) h (b) r (c) 4
a
Let s = 2 + -1.7. Let w = 411/7 + -59. Which is the closest to 2/3? (a) 4/9 (b) w (c) s
a
Let x = 33 + -19. Let r = -17 + x. Let i be (1/1)/((-12)/4). Which is the nearest to -0.2? (a) i (b) r (c) 4
a
Let u = -12.7 + 13. Let r = u - -0.1. Which is the closest to 0? (a) r (b) 5 (c) 0.5
a
Let m(s) = -s**3 + 6*s**2 + 6*s + 10. Let r be m(7). What is the closest to r in 0.4, -3, -1/3?
0.4
Suppose 5*s + 2 = 3*v - 2*v, v - 3*s = 0. Let q be 124/v*(-2)/(-280). Let i = -1/105 - q. What is the nearest to i in 0.3, 4, -4?
0.3
Let q = -1.3 - 0.7. What is the closest to q in 0.2, -1/2, 5?
-1/2
Let v = 44 + -175/4. Which is the nearest to -0.1? (a) -2/3 (b) 2 (c) v
c
Let n = 11 + -7. Let b(t) = -t**3 + 5*t**2 - 4*t - 5. Let d be b(n). Let h be ((-6)/(-15))/((-3)/d). What is the nearest to -2 in -2/7, h, 0.3?
-2/7
Let d = -189 + 3589/19. Which is the closest to 3/20? (a) d (b) 0.1 (c) 0.3
b
Let p = -159/10 + 82/5. Which is the closest to 3? (a) -6 (b) p (c) 3
c
Let c = -16 - -15.9. What is the closest to c in -1/11, 0.3, 1?
-1/11
Let j be 1 + (1 - 96/52). Which is the closest to 1/3? (a) -4 (b) -5/2 (c) j
c
Let n = -7 - -6.7. Let y = 115/4 + -28. What is the nearest to 0 in n, y, -1?
n
Let f = 6.07 - 6. What is the closest to -1 in -1/3, f, -3?
-1/3
Let u = 0.7 - 2.7. Let i = -5.3 - -4. Let g = i + 0.3. Which is the closest to g? (a) 0.3 (b) -4 (c) u
c
Let k = 4 + -3.5. Let i be (34/3)/(28/(-18)). Let z = i + 269/35. Which is the closest to 0? (a) z (b) k (c) 2
a
Let i = -2/875 + -1712/16625. Let h(z) = z**3 - 4*z**2 - 3. Let x be h(4). Let p = -0.1 - -0.2. Which is the closest to p? (a) x (b) 3 (c) i
c
Let t be (8/(-4))/(-7 + 1). Let l = 59 - 409/7. Which is the closest to t? (a) 0.2 (b) 0 (c) l
a
Let h = -4.4 - -0.4. Let k = 17278/5 + -3477. Let f = k + 21. What is the closest to f in h, -0.5, 4?
-0.5
Let s be 6/27 - (-11)/(-9). Which is the closest to 4? (a) 0.2 (b) 1/4 (c) s
b
Let f be (-14)/(-91) - (-72)/(-130). What is the closest to f in 1, -3/5, 1/3?
-3/5
Let d = -28 - -27. What is the nearest to -1 in 0, 2, d?
d
Let g = -1822/4771 - 1/367. Let y = g - 11/39. Let i = -2/95 - -386/285. What is the closest to -2 in 3/2, y, i?
y
Let u be 22/14 + 2/(-1). Let z be (-3)/(-2)*2/3. Let r = -8 + 8.5. What is the nearest to z in u, 0.2, r?
r
Let q = 12.5 - 12. What is the nearest to 0 in q, -0.3, 3/11?
3/11
Let z = -10 + 10.8. Let w = -2.2 - z. Which is the nearest to 2/7? (a) 0.1 (b) w (c) 1/12
a
Let q = 18 + -22. Let f = 2.3 - 2. Let o = f + -0.3. Which is the closest to o? (a) 1/3 (b) q (c) 3
a
Suppose -v - t - 21 = 0, -2*v + 7*v = 2*t - 140. Let u = 340/13 + v. Which is the nearest to u? (a) -0.1 (b) 4 (c) -3
a
Let n(j) = 5*j**2. Let i be n(-1). Let r = 6 + -3. Let u = 1 - r. Which is the nearest to u? (a) i (b) 3 (c) 0.1
c
Let a be 14/28*(-2 + -6). What is the closest to -0.1 in -0.1, 3, a?
-0.1
Let l = 5.1 + -4.1. What is the nearest to l in 2/11, 6, 4/9?
4/9
Let v = 17834 - 267803/15. Let l = 106/5 + v. What is the closest to 0.2 in -1, l, -5?
-1
Let l = -2.9 + -1.1. Which is the closest to 2/5? (a) l (b) 2 (c) -1
c
Let m = 9 - 4. Let f = -52.12 - -53. Let w = f + 0.12. Which is the closest to w? (a) -0.2 (b) -2 (c) m
a
Let r = -0.06 - -0.16. Let g = 0.6 - r. What is the closest to 0 in g, -4, -5?
g
Let t = 1.4 - 1.4. Let k = 6 - 4. Let r be 9/(-15)*k/6. Which is the closest to 0.1? (a) -5 (b) r (c) t
c
Let k = 0.15 - -0.35. What is the closest to 0 in k, 1, -4?
k
Let d be (2/(-9))/(2/2). Let w = 3.7 - -1.3. Let z = -4/11 + 2/11. Which is the nearest to 0? (a) z (b) w (c) d
a
Let p = 4/7 - 27/35. Let q be 2/6 - (-11)/(-51). What is the closest to 1/4 in p, q, 1/9?
q
Let w = 4 + -2. Suppose -i = w*i. Let s = 5.6 - 6. Which is the closest to 1/2? (a) 5 (b) s (c) i
c
Let u = 35 + -35.1. Which is the nearest to -0.2? (a) u (b) 2 (c) 1
a
Let h be (-108)/(-27) - (-6)/(-1). Suppose 1 = -s + 2*s. What is the closest to -0.1 in h, 3/7, s?
3/7
Let z = 8 - 7.9. Let s be ((-5)/5)/((-1)/(-4)). Suppose -8*g + 3*g = -5. Which is the nearest to g? (a) s (b) z (c) -2/7
b
Let s = 0.075 - 0.075. Let i = -148/231 + -2/77. Which is the closest to s? (a) i (b) 2/7 (c) -4
b
Suppose -20 = 3*q - 5*q. Let b be (-5)/(q/3)*-1. What is the nearest to 0.2 in 2, -2/11, b?
-2/11
Let i = 6 + -5. Let m = 0.036 + 6.264. Let s = 6 - m. Which is the closest to 1/2? (a) i (b) -2 (c) s
a
Let f = -17.386 + 0.186. Let q = f + 17. What is the nearest to 0 in q, 4/3, 4/9?
q
Let o be 1*-1*15/(-25). Let n = -24/5 + 22/5. Let l = -45 - -767/17. What is the nearest to -1 in n, l, o?
n
Let i = -1311/17 - -77. Let o = 4.9 + -6.9. Which is the closest to i? (a) -5 (b) o (c) 0
c
Let d = -2 - -1. Let m(s) = s + 4. Let b be m(-5). Let y be ((-16)/20)/(4/20). What is the nearest to b in -0.4, d, y?
d
Let g = -23/7 - -11/14. Let s = 0.03 + -0.13. Which is the closest to s? (a) 2 (b) g (c) -0.5
c
Let m = 2.9 + -2.8. Let p = -0.3 + 0.8. Suppose -y = -n, -n = 3*n - 5*y - 4. Which is the nearest to m? (a) 0.1 (b) p (c) n
a
Let i = 16/21 + -3/7. Suppose 0 = -6*p + 3*p + 12. Which is the closest to -0.1? (a) p (b) 0.2 (c) i
b
Let s = 18/7 - 16/7. Let y = 303 - 302. What is the nearest to s in y, -3, -5?
y
Let f be -1*(0/3 + -1). Let n = -8.4 + 8.4. Which is the closest to -2? (a) f (b) 0.1 (c) n
c
Let f be (-2)/(-80) - (-4)/(-10). Let y = -7.3 - -1.3. Let q = y + 7. Which is the closest to q? (a) f (b) 5/3 (c) 1/7
b
Let r = 8 - 5. Let o = -3 - -4. Let t = -18.5 + 19. What is the closest to o in r, 0.1, t?
t
Let j be (-119)/35 + (-3)/(-1). Let r be ((-2)/2)/(5 + 5). Let b = r + 1/2. What is the nearest to b in j, 0, -5?
0
Let w = 2.4 - 4.1. Let s = w + 1.8. Which is the closest to s? (a) -2 (b) 2/3 (c) -0.01
c
Let f = 68/3 - 479/21. Let k = 40 + -38. What is the nearest to k in f, 1, 0?
1
Suppose 2*w + 2 = 4*w. Let h = -2 - -6. What is the nearest to w in h, -0.2, 0.3?
0.3
Suppose 160 = x - 5*x. Let n be ((-12)/x)/(6/8). Which is the nearest to 2/13? (a) 2/23 (b) -0.1 (c) n
a
Let p = 1.81 - -0.19. Let i = -7 - -7. Which is the closest to p? (a) -3 (b) 1/10 (c) i
b
Let r = 0 + 0.1. Suppose 0 = 2*k - 2*j + 16, 2*k + 2 = 3*j - 15. Let v = 36/5 + k. Which is the closest to -0.1? (a) r (b) v (c) 0.4
a
Let q = 68 - 68. Which is the closest to q? (a) -4 (b) -1 (c) 1/4
c
Let p = 0.06 - 0.06. Let c = 0 - 2. What is the closest to p in -3, 3/5, c?
3/5
Let p be (-2)/(-7 - -1) - 10/(-15). Which is the nearest to 2/7? (a) -1 (b) p (c) -3
b
Let n = -321/5 - -64. Let h be 2/(-4) - (-27)/(-6). Which is the nearest to -2/7? (a) -0.3 (b) h (c) n
a
Let k = 7.3 + -10.3. Which is the nearest to 2/3? (a) 2/9 (b) k (c) 0.22
a
Let o = -0.019 - -2.019. Which is the nearest to 0.6? (a) o (b) -0.2 (c) -2/9
b
Let b be (18 + -5 - 6) + -3. Let o = -0.4 + 0.1. What is the closest to o in b, 1, -0.5?
-0.5
Let d = -5 - 10. Let p = d - -17. Let x = 5.9 - 0.9. Which is the nearest to p? (a) 1/10 (b) x (c) -0.4
a
Suppose -1 - 3 = -4*g - 5*n, 2*g + 12 = n. Let o = 0 - 0. Whic
|
{
"pile_set_name": "DM Mathematics"
}
|
next in 38582, 77091, 115436, 153533, 191298, 228647, 265496, 301761?
337358
What comes next: 12042, 12017, 11980, 11931, 11870, 11797, 11712?
11615
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-132828278
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-3343259
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-44095411
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7479005
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9447
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6922505
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-67079
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77208783
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126777154
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-1342202
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-2664
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1727844
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-771
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49876933
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1859473
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115172
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-18870035
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6361327
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500288
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-220258
What is the next term in -10604, -21256, -31898, -42530?
-53152
What is next in 64320, 64251, 64180, 64107, 64032?
63955
What is the next term in -3763, -3332, -2895, -2452, -2003, -1548?
-1087
What is next in -45040, -44650, -44004, -43102?
-41944
What is next in 205, 1154, 2777, 5074, 8045, 11690?
16009
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-6855
What is next in 77067, 77127, 77187, 77247, 77307, 77367?
77427
What is the next term in -70528, -70552, -70566, -70564, -70540?
-70488
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-831975
What is next in -3613, -7025, -10863, -15121, -19793, -24873, -30355, -36233?
-42501
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-14032371
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23986192
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10291
What is the next term in 4090, 6681, 9334, 12049, 14826?
17665
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672451
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8630
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19150
What is the next term in -382019, -1528275, -3438767, -6113495, -9552459?
-13755659
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5643
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20180177
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-282974
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40062
What is next in 129410735, 129410734, 129410733, 129410732?
129410731
What comes next: -1561, -850, 329, 1970, 4067, 6614?
9605
What is the next term in -139670, -558824, -1257464, -2235590?
-3493202
What is the next term in -5191, -20625, -46309, -82243?
-128427
What is the next term in 1975, 2978, 2993, 2014, 35, -2950, -6947?
-11962
What is next in 115183, 230345, 345493, 460621, 575723, 690793, 805825, 920813?
1035751
What is next in -719, -1046, -1161, -962, -347, 786, 2539, 5014?
8313
What is the next term in -113470, -114681, -115892, -117103, -118314, -119525?
-120736
What comes next: 68498, 68088, 67678, 67268, 66858, 66448?
66038
What comes next: 72676, 72716, 72814, 72994, 73280?
73696
What is the next term in -1206605, -1206595, -1206599, -1206623, -1206673?
-1206755
What comes next: 1192, 2252, 3256, 4204, 5096, 5932, 6712?
7436
What is next in 79362, 635719, 2145826, 5086557, 9934786, 17167387, 27261234, 40693201?
57940162
What is the next term in -6105, -24693, -55673, -99045, -154809, -222965, -303513?
-396453
What comes next: -20059, -18778, -17495, -16210, -14923, -13634, -12343?
-11050
What is next in -16893, -33763, -50633, -67503, -84373, -101243?
-118113
What is the next term in 3927, 3883, 3813, 3717, 3595?
3447
What is next in 1182551669, 1182551671, 1182551673?
1182551675
What comes next: 205483, 204205, 202069, 199069, 195199, 190453, 184825, 178309?
170899
What is next in 4778, 4966, 5144, 5312, 5470, 5618, 5756?
5884
What is the next term in -128687, -129265, -129843?
-130421
What comes next: -4949, -8691, -14927, -23657, -34881, -48599?
-64811
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308494
What is next in -57508, -115263, -173018?
-230773
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-189619
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-13680
What is next in -7836, -12016, -16192, -20364?
-24532
What comes next: 81682, 81684, 81688, 81694?
81702
What is the next term in 32968097, 32968099, 32968101?
32968103
What comes next: -81620, -163767, -245914, -328061, -410208?
-492355
What is the next term in -21414, -42851, -64284, -85713, -107138, -128559?
-149976
What is next in 820, 1334, 1692, 1894, 1940, 1830, 1564?
1142
What is next in -2618474, -2618473, -2618474, -2618477, -2618482, -2618489?
-2618498
What is next in 2288137, 4576268, 6864399, 9152530?
11440661
What comes next: -7810430, -7810433, -7810438, -7810445, -7810454?
-7810465
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21271
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-48182
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152567
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2618773
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-11918387
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7563
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-2841075
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140155
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-2095314
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-461672777
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-1134622
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-2046197
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17340678
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-9272780
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117341
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-96205402
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-30020102
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111602
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-352252
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-356144
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-108713
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30276
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-62347
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-260
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104230
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-36303
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19242
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-8487
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-118557587
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-29891478
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367942
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5794
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1431732804
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187558
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59859731
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-15087
What comes next: 8749, 69525,
|
{
"pile_set_name": "DM Mathematics"
}
|
be p/(175/10) + (-2)/7. Which is greater: z or 9/19?
9/19
Let x(s) = s**2 + 4*s + 3. Let l be x(-2). Let w be l*(-2 + -5)*1. Are w and 4 non-equal?
True
Let k = 373 + -434. Is k bigger than 2?
False
Let l = -0.185 - -0.205. Which is bigger: l or -1/10?
l
Suppose -4*g + 2 = -2*g - 2*v, -3*v + 5 = -g. Let q = -50.9 - -50. Is g <= q?
False
Suppose -3*n = 2*n. Suppose -m = 4*m + 5. Let y be m/3 + (-3)/(-2). Is n less than y?
True
Let i be 3/(0 + 15/190). Let n = i + -38. Let d be 0 + 1 + 37/(-36). Which is smaller: n or d?
d
Let y be 2/(591/195 - 3). Let p be 4/(-14) + y/350. Is 0.1 at most p?
False
Suppose -94*r - 44 = 614. Let f(p) = 2*p**2 + 3*p + 1. Let h(u) = -3*u**2 - 5*u - 2. Let n(j) = 5*f(j) + 3*h(j). Let o be n(0). Which is smaller: r or o?
r
Let d = 4740/11 - 430. Let u be -1 + (1 - 2) + 2. Which is smaller: u or d?
u
Suppose 31*a = 6*a + 25. Which is greater: a or -1/255?
a
Let r be ((-2)/(-4) - 1)*-50. Let s = -42 + r. Let u = 12 + s. Is u at most -6?
False
Let p = -17.644 + -0.356. Which is bigger: 1/12 or p?
1/12
Suppose -z = 2*z + 168. Which is greater: -55 or z?
-55
Let w = -320 - -320. Which is greater: w or -0.9?
w
Let w = -68 - -64. Let f be (-3)/w - (-4617)/(-76). Which is greater: f or -58?
-58
Suppose 0 = -3*t + t + 4. Let n(p) = 2*p + t*p - 3*p + 5. Let x be n(-6). Is 1/21 at least x?
True
Let n(r) = -10*r - 32. Let u be n(12). Let f = 214 + u. Is 1 > f?
False
Suppose 0 = -4*c - 12 + 16. Let z be (3 + 36/3)*-1. Is z != c?
True
Let w be (24/(-20))/(6/(-40)). Suppose 4 = -7*g + w*g. Which is smaller: g or 2?
2
Let z be -3*12/(-9) + 18796/(-370). Which is bigger: 0 or z?
0
Let y be 510/72 + -6 - (-10)/(-15). Is y greater than 1?
False
Let z = 31 + -16. Let q be (z/222)/(3/(-6)). Which is smaller: q or -1?
-1
Let w = -38.1 + -8.9. Let x = 187 - 118. Let a = w + x. Is a smaller than -1/2?
False
Let u be (0 + 5)*495/16225. Is u > -1?
True
Suppose -5*s = -10 - 0. Suppose -4*x = 4*v - 32, 0 = -s*v + v + 2. Let i be x/(-15)*5/29. Is 0 smaller than i?
False
Let z(q) = 2*q**3 - 67*q**2 + 26*q - 62. Let d be z(33). Is -292 less than d?
False
Suppose 2*i + 3 = -5. Let n = -36 - -31. Let h be (-1)/((-5)/75*n). Which is bigger: h or i?
h
Let n(p) = p**3 - 4*p**2 - 3*p + 7. Let g be n(5). Suppose -44*j = -56*j + 192. Which is smaller: g or j?
j
Suppose 4*a + 3 = a. Let u be a + (-2 - (-6 + -2)). Let x be (-2)/(-6) - u/(-3). Which is bigger: x or 1?
x
Suppose 25*v = 28*v - 84. Let p = 83/3 - v. Which is greater: 0 or p?
0
Suppose g - 5*g = 84. Let v = g + 31. Is 10 > v?
False
Let j be (14 + -1167)/(0 - 4). Let h = -290 + j. Which is smaller: h or -3?
-3
Let r be (-7)/((294/(-7))/6). Is r equal to 33/25?
False
Let x = 326747/47985 + -52/1371. Let t = x + -46/7. Suppose 0*m = 2*m - 2. Is t equal to m?
False
Let g be (2 + -244)*1/6. Suppose -109*w = -98*w - 429. Let d = w + g. Which is bigger: d or 1?
1
Let o = -45 - -46. Let i be (o*4/68)/(-2). Are 1 and i unequal?
True
Let c(z) = z**3 + 9*z**2 + z + 13. Let l be c(-9). Suppose -5*i + l*i - 1 = 0. Which is smaller: -29 or i?
-29
Let h = -2 - -8. Let n be 8/32 - h/(-8). Suppose 0 = d - 0*d + n. Do d and 0 have the same value?
False
Let m(g) = 9*g - 170. Let d be m(35). Which is bigger: d or 144?
d
Let g = -54.08 + -0.92. Let z = g + 56. Is -4 at most z?
True
Let j = -69.4 - -68. Let t = -6.6 + j. Let v be 6 - 5 - (-3)/(-4). Which is greater: v or t?
v
Let f be (-95)/10 - (-2)/4. Let i = -7 - f. Let r be (-2 + i)/(-2 - 0). Which is smaller: 1 or r?
r
Suppose 5*b = -2 + 12. Suppose -27 = -b*i + 47. Is i >= 38?
False
Let p = -62 + 48. Is p <= 14?
True
Suppose 0 = -4*s - 4*o, -27*s + 3 = -30*s - 4*o. Which is smaller: -35 or s?
-35
Suppose 0 = -5*h - 5*l - 350, 0 = -h - 9*l + 11*l - 55. Let t be 2 + (-2 - (-240)/h). Is -3 != t?
True
Let s be 4 + ((-9)/(-6))/(4/(-8)). Let z = 6 + -8. Let c be (-9)/39*2/z. Are s and c nonequal?
True
Let u = 3 - 1. Let p(o) = -o**2 - o - 1. Let s(v) = v**3 + 19*v**2 - 9*v + 17. Let g(d) = -5*p(d) - s(d). Let f be g(-15). Which is smaller: u or f?
u
Suppose 18*t - 1696 = 17672. Are t and 1076 equal?
True
Let m = 3173/9 + -353. Are 0 and m non-equal?
True
Let x(j) = -j**2 - 7*j - 4. Let l be x(-7). Suppose 0 = 6*a - 89*a - 747. Which is smaller: l or a?
a
Let b = 19.77 + -20. Let h = 0.11 + b. Let x = -5.12 - h. Is 0.2 greater than x?
True
Suppose -6 + 3 = r + 4*u, 9 = -3*r - 4*u. Let j be (r*2/(-3))/(-7 - -3). Which is bigger: j or -5?
j
Let c = -4.06 + 3.76. Let p = 83/3 - 27. Is p at least c?
True
Let s = 140/11 + -137/11. Let g(h) = -h**2 - 17*h - 33. Let z be g(-16). Let w = -17 - z. Which is greater: s or w?
s
Let i be (-87)/(-1062)*-60877 + -1. Let b = i + 4988. Let n = 4/59 - b. Which is bigger: n or 0?
n
Let g = -910 - -918. Is 41/5 greater than or equal to g?
True
Suppose 4*k - 306 = -k + 2*w, -3*w = 2*k - 111. Let b be 1 + -2 + k/57. Is b less than or equal to -1?
False
Let w be (-8)/140*-7*5. Which is greater: w or 5/2?
5/2
Suppose 603 - 2839 = 13*t. Which is bigger: -169 or t?
-169
Let h = -261 - -471. Let d = -212.62 + h. Let c = 0.38 - d. Which is smaller: 2/11 or c?
2/11
Let s be (-42)/10 - 7/(-35). Let o be (0/s)/(3 - 2). Which is smaller: o or -2/3?
-2/3
Suppose 4*o + 2 = -2. Let v be 77/539*(-21)/141. Which is greater: v or o?
v
Let v = 119 + 104. Let t = -237.24 + v. Let c = t + 14. Which is smaller: c or -0.1?
c
Let a = -62 + 63. Which is bigger: -2/283 or a?
a
Let k be 42/56*(301 - (-1)/(-1)). Which is bigger: k or 228?
228
Let j = -653 + 660.1. Is j smaller than 0.9?
False
Let j = 281 + -280. Does -155 = j?
False
Let p be 1 + ((-8)/96)/((-4)/(-54)). Let m = 19/24 + p. Which is smaller: 2 or m?
m
Let o be ((-3)/(-9))/(6/36). Suppose o*v = 5*f + 92, 0*v - 55 = 3*f - v. Which is greater: f or -1/4?
-1/4
Let y = 87/4 - 22. Which is greater: y or -106?
y
Let y = -4.488 + 4.5. Let m = y + 0.988. Let i = 131/6 + -22. Which is smaller: i or m?
i
Let o = -3 + 2. Let f be (15/6)/(-5) - 15/(-6). Let i be (4/(-36)*3)/(f/6). Is o <= i?
True
Suppose -q - 1 + 6 = 0. Suppose -3*y + 2 = -5*r + 5, 0 = q*r + 4*y + 4. Which is bigger: r or 1/26?
1/26
Let q be (-250)/25*(6/(-13) - -1). Which is smaller: q or -1?
q
Let j = 73 + -83. Let x = 64/3 + -22. Is j > x?
False
Let b = 10 - -10. Suppose 5*a + 10 = 2*v, -v = -a - 5*v + b. Which is smaller: 1/32 or a?
a
Let v(a) = a**2 + 6*a. Suppose 3*y - 7 + 22 = 0. Let w be 6/y*5/1. Let u be v(w). Is -8 greater than u?
False
Let c = -24 + 30. Let m(a) = -a**3 + 5*a**2 + 7*a - 6. Let b be m(c). Let q be b/(-1 - -2) - 1. Which is smaller: q or 1?
q
Let s be 4/(-12)*2*-66. Suppose 4*o + s = -2*j, -o + 2*j - 18 = -j. Are -10 and o equal?
False
Suppose -2*s - v + 3 = 2*v, -2*v = -3*s - 2. Suppose s = 5*j - 4*w + 3, 0 = 4*j - 3*w + w. Is -2/31 < j?
True
Let g(m) = 3*m**2 - 3*m - 4. Let i be g(-1). Suppose 6*w = i*w. Which is smaller: w or -1/13?
-1/13
Let i(u) = -u**2 + 24*u + 25. Let d be i(25). Is -13/23 greater than or equal to d?
False
Let w be (-6)/(-68)*(-25)/75. Is w < 1?
True
Let o(g) = -g**2 - 5*g - 135. Let w be o(-19). Is -402 bigger than w?
False
Let i = -90 + 453/5. Let f be 2 + 3/(1 + 2). Suppose -f*c - c = 0. Which is smaller: i or c?
c
Let h = 172 - 1593/10. Is h >= 13?
False
Suppose 15*s - 7 - 8 = 0. Which is smaller: s or 5/4?
s
Let h = 425 + -424.97. Which is bigger: -0.05 or h?
h
Let p = 285 - 688. Let q = 10073/25 + p. Are q and 1 unequal?
True
Let o = -32 - 3. Let k = -41 - o. Which is bigger: k or -0.1?
-0.1
Let m = -94.7 + 94.8. Let g = 0.03 - 0.63. Which is smaller: g or m?
g
Suppose 4*s = -3*w + 7, -3*s + w - 2*w = -4. Let i = s + -1. Let o be 450/700 - (-1)/(-2). Is o greater than i?
True
Let g = -5287975997542/5015 - -1054431899. Let x be 5/(-1003)*(-27)/45. Let v = x - g. Is v at least 4?
True
Suppose -14*y + 15*y = 0. Let q be ((-432)/100)/(-2) - (y - -2). Suppose 3*u + 3*r = 2*u - 11, u - 2*r = 9. Is q equal to u?
False
Let a(j) = -j**3 - 10*j**2 + 8*j - 27. Let f be a(-11). Suppose 32 = -f*p + 10*p. Which is smaller: p or 7?
7
Let s(f) = -36*f**3 - f**2. Let o be s(1). Let y be -6*(2/(-8) + o/12). Is y at least 21?
False
Let f = -0.811 - 0.009. Let m = f - 0.18. Is 1.3 bigger than m?
True
Let p = 9.58 - 9.7. Which is smaller: 2 or p?
p
Let a(v) = -v**3 - 5*v**2 - 7*v. Let j be a(-3). Let r be j/
|
{
"pile_set_name": "DM Mathematics"
}
|
y 76813?
459/76813
What is -781 divided by 3688?
-781/3688
-10542864 divided by 4
-2635716
Divide 78707925 by 349813.
225
Divide -510794910 by 405.
-1261222
What is -3516115 divided by -2?
3516115/2
Calculate -172 divided by -38758.
86/19379
1081659864 divided by 3108218
348
Calculate 810 divided by 8548.
405/4274
Divide 4996856 by 1249214.
4
What is -10775106 divided by -199539?
54
5 divided by 44124324
5/44124324
What is -28800470 divided by 4?
-14400235/2
What is 45 divided by -1537071?
-15/512357
Calculate 612487 divided by 14.
612487/14
Divide -70602752 by 17237.
-4096
What is -27969786 divided by -9234?
3029
Divide -28751097 by -1.
28751097
What is 3507 divided by 108?
1169/36
Calculate -182045345 divided by -23.
7915015
Divide 3896940 by 6070.
642
What is -4 divided by -119258200?
1/29814550
647808 divided by -1344
-482
118876301 divided by -9259
-12839
Calculate -23705522 divided by -5.
23705522/5
Calculate -35271 divided by -269.
35271/269
Divide 0 by 1490717.
0
Calculate -30294 divided by 783.
-1122/29
Calculate 757 divided by 12471.
757/12471
Calculate -546639700 divided by 5.
-109327940
Divide -7251943 by 81.
-7251943/81
Divide -67783930 by -34.
1993645
Calculate 0 divided by -4852049.
0
What is 1726116 divided by 2?
863058
Divide 28043225 by -37.
-757925
7950720 divided by 6560
1212
What is 146 divided by -4218?
-73/2109
-217551523 divided by -4439827
49
Divide 0 by -233755962.
0
Divide 0 by -5030588.
0
5762 divided by 4563
5762/4563
Calculate 6934300 divided by -81580.
-85
Divide 4868788 by 64063.
76
66370 divided by 2400
6637/240
Calculate 2354304 divided by 128.
18393
Calculate -1416 divided by 86830.
-708/43415
Calculate 527831 divided by -25.
-527831/25
What is -473321 divided by 1118?
-473321/1118
120223175 divided by -24044635
-5
Calculate -73505 divided by -937.
73505/937
Divide 1 by 1947260.
1/1947260
-103124106 divided by 5729117
-18
237 divided by -405
-79/135
Calculate 448235316 divided by 8300654.
54
Calculate 2 divided by 974057.
2/974057
-10815884 divided by 22
-5407942/11
Divide 3 by 2279953.
3/2279953
What is 1276695 divided by 13?
1276695/13
Calculate -71184365 divided by -5.
14236873
Divide 75766585 by -15153317.
-5
Divide 2686986 by 158058.
17
Divide 12283 by 16272.
12283/16272
What is -551334006 divided by 6102?
-90353
-4432524 divided by -1477508
3
Calculate 34 divided by 5554.
17/2777
Divide -52610485 by 5.
-10522097
Divide 5 by 2422058.
5/2422058
-286831371 divided by 95610457
-3
Calculate -55 divided by 714874.
-55/714874
Calculate 2473 divided by -162724.
-2473/162724
Calculate 60542073 divided by 9.
6726897
What is -597351575 divided by -3?
597351575/3
Calculate -5526588 divided by -1.
5526588
-2729502 divided by -7866
347
Calculate 511 divided by -945207.
-511/945207
Divide -3107874 by 4.
-1553937/2
45955 divided by -505
-91
Calculate -1528187 divided by -31.
1528187/31
Divide -3 by 1595046.
-1/531682
What is -110802549 divided by 8523273?
-13
Calculate 444589728 divided by -24.
-18524572
Calculate -3 divided by -23711944.
3/23711944
What is 5091014 divided by 139?
36626
Calculate -7276940 divided by -1455388.
5
What is -622987005 divided by -3813?
163385
11880399 divided by -3960133
-3
507886 divided by -7
-507886/7
-224361804 divided by 404
-555351
Divide -32245755 by -565715.
57
What is -8805124 divided by -4?
2201281
What is 4 divided by 152849594?
2/76424797
Divide 8064890 by -5254.
-1535
911127552 divided by 24
37963648
Divide 728115248 by -14.
-52008232
Calculate 14345640 divided by 77544.
185
What is 1 divided by 202539930?
1/202539930
What is 8661 divided by -1838?
-8661/1838
-34246058 divided by -154
222377
What is 436 divided by 505403?
436/505403
-3421803515 divided by 5
-684360703
81 divided by -366749
-81/366749
What is 4635491 divided by -7?
-662213
What is 118 divided by 15809?
118/15809
What is 458699712 divided by -12?
-38224976
What is 5 divided by -20001283?
-5/20001283
What is -20994837 divided by 912819?
-23
What is -763776 divided by 2448?
-312
What is 1 divided by 1420696?
1/1420696
What is -799491 divided by 799491?
-1
What is -7474680 divided by 33?
-2491560/11
What is -14144 divided by 1263?
-14144/1263
Divide 28 by 178480.
7/44620
What is -19659679 divided by 4?
-19659679/4
Calculate -94799488 divided by 56.
-1692848
Calculate 6113499 divided by 1.
6113499
What is -13128453 divided by 2?
-13128453/2
Calculate -1 divided by -111486518.
1/111486518
Calculate 159893 divided by -128.
-159893/128
What is -16 divided by -40521?
16/40521
What is -29367634 divided by 1366?
-21499
What is -314064 divided by -3397?
314064/3397
What is 684551 divided by -1852?
-684551/1852
Calculate 5 divided by -72664000.
-1/14532800
Divide -940339 by 147.
-940339/147
-45672638 divided by 108229
-422
What is -73143 divided by 2640?
-24381/880
Divide -695765 by 35.
-19879
Calculate -897004 divided by 50.
-448502/25
Calculate -49 divided by -791652.
49/791652
Calculate -302368663 divided by -5.
302368663/5
-4 divided by -7134664
1/1783666
-19012323 divided by 3
-6337441
-140166831 divided by 987
-142013
Divide -5756065 by -35.
164459
What is -7755264 divided by -594?
13056
What is 26740 divided by 34741?
3820/4963
Divide 53528 by 756.
13382/189
Calculate 599672 divided by -28.
-149918/7
What is -248723778 divided by -48894?
5087
What is 2 divided by -1264574?
-1/632287
443 divided by -59412
-443/59412
Calculate -306343998 divided by -34038222.
9
What is -1692288 divided by 32?
-52884
What is 162485697 divided by -54161899?
-3
What is -107353699 divided by 1?
-107353699
Calculate 9 divided by 2813712.
3/937904
Calculate -10054548 divided by -1428.
7041
15811152 divided by 12
1317596
-570129045 divided by 114025809
-5
Calculate 1118760 divided by 27.
372920/9
Divide -91724412 by -37934.
2418
Divide 3 by -610614.
-1/203538
12378467 divided by -45677
-271
Calculate -28651784 divided by 4093112.
-7
Calculate 1340803 divided by -8.
-1340803/8
Divide -3210849 by 86.
-3210849/86
355 divided by 138016
355/138016
-34 divided by 12419380
-17/6209690
What is 24582 divided by 715?
24582/715
What is 14484227 divided by -113?
-128179
Divide -90728400 by -16.
5670525
What is -79971 divided by -224?
79971/224
-7 divided by 99794475
-7/99794475
What is -1821 divided by 970?
-1821/970
Divide -1 by -19159129.
1/19159129
2558862 divided by -90
-142159/5
1580301 divided by 3313
477
Divide 722977020 by -58446.
-12370
Calculate 8744608 divided by -1.
-8744608
Divide 18528860 by 28.
661745
What is -12927013 divided by 9?
-12927013/9
-170159744 divided by 1984
-85766
Divide -41451304 by 304789.
-136
-92 divided by 10847
-92/10847
What is 422237360 divided by -2?
-211118680
What is 0 divided by 52169634?
0
What is -633013 divided by 30?
-633013/30
What is 76436 divided by 39?
76436/39
6831594 divided by -2277198
-3
Calculate 3021003 divided by 6.
1007001/2
-493451132 divided by -4
123362783
Divide -1869575 by -1325.
1411
What is 854761 divided by -9?
-854761/9
1254 divided by -29799
-38/903
5144769 divided by -27
-190547
Divide -183005850 by -1418650.
129
What is 696543970 divided by 2?
348271985
Calculate 16986504 divided by -2.
-8493252
198337104 divided by 3148208
63
-768108 divided by 16698
-46
What is -10688355 divided by -23085?
463
What is 20726964 divided by 1151498?
18
Divide 117158976 by 726.
161376
Divide -562821758 by 1.
-562821758
What is 5 divided by -3965687?
-5/3965687
145 divided by -3535481
-145/3535481
Calculate 38175368 divided by -7.
-5453624
What is -82236 divided by -1465?
82236/1465
What is 140648118 divided by 3126?
44993
Divide -1691654 by -31918.
53
What is -1493 divided by -3586?
1493/3586
Divide 5 by 13432112.
5/13432112
What is -8 divided by 2396331?
-8/2396331
What is -4734884 divided by -1?
4734884
Divide -37782403 by -12.
37782403/12
Divide -162648 by 179.
-162648/179
Divide -713 by 504331.
-713/504331
-435960 divided by 87192
-5
-30877897 divided by 3
-30877897/3
-264 divided by -781341
8/23677
Divide -47845 by -1.
47845
What is -345 divided by -2810?
69/562
Divide 268158 by -62.
-134079/31
What is 20041170 divided by 6?
3340195
Divide 4887823 by -4.
-4887823/4
Divide 56638 by -544.
-28319/272
Divide -1472112 by -368028.
4
Divide 1 by -51254527.
-1/51254527
Calculate -5697414 divided by -433.
|
{
"pile_set_name": "DM Mathematics"
}
|
2 divided by 610151.
-2
What is -26928629 divided by 15379?
-1751
Divide -572219038 by -3.
572219038/3
Divide -32253310 by -6450662.
5
Divide 14339220 by -1.
-14339220
Calculate 340319 divided by 24.
340319/24
Calculate 27144080 divided by -69.
-27144080/69
4889340 divided by -3
-1629780
Divide -9894 by 103267.
-9894/103267
What is -43103853 divided by 29871?
-1443
Calculate -22 divided by 3806848.
-11/1903424
Divide 346824328 by -86706082.
-4
537241964 divided by 313
1716428
-5381048 divided by 2690524
-2
Divide 1673990 by -98470.
-17
122427056 divided by 140398
872
Calculate 70243168 divided by -1517.
-46304
-72279180 divided by -15
4818612
Calculate -281326 divided by 96.
-140663/48
100484682 divided by 5322
18881
Calculate 62269776 divided by 18.
3459432
Calculate -21019 divided by 19.
-21019/19
Divide 51695956 by -1108.
-46657
What is 2777190 divided by 65?
42726
What is -84495032 divided by 1877?
-45016
9655 divided by 2517
9655/2517
Divide -986742 by -289.
986742/289
What is 278556793 divided by 349?
798157
-5 divided by 52401851
-5/52401851
Calculate 1747282 divided by 24.
873641/12
Calculate -94285686 divided by -5.
94285686/5
Calculate 12770888 divided by -555256.
-23
Divide -15180240 by -3036048.
5
Divide 27361329 by -1.
-27361329
Divide -38324986 by -9343.
4102
Calculate -47213 divided by 362.
-47213/362
What is -6787987 divided by 4?
-6787987/4
Calculate -1 divided by 1676359.
-1/1676359
What is 0 divided by 18292112?
0
Divide -12 by -1516262.
6/758131
Calculate 13433184 divided by -4477728.
-3
What is -144 divided by 3819354?
-24/636559
Divide -17699 by -27.
17699/27
14 divided by -26728336
-7/13364168
-20 divided by -12914185
4/2582837
What is -3 divided by 121095?
-1/40365
Calculate 180816 divided by 403.
180816/403
4 divided by -16221900
-1/4055475
Divide 868626664 by 502.
1730332
What is -21608800 divided by 4321760?
-5
13146744 divided by 26
505644
What is 0 divided by 40703411?
0
What is 6544158 divided by -5?
-6544158/5
Divide 41590374 by 20795187.
2
Divide -11 by 15255.
-11/15255
Calculate -2421 divided by -8002.
2421/8002
Divide -49460950 by -638.
77525
Calculate 6 divided by -10659286.
-3/5329643
What is -41395 divided by 343?
-41395/343
Divide 702513 by 404.
702513/404
6311 divided by -42411
-6311/42411
Calculate -190 divided by 28938.
-95/14469
Calculate 109764746 divided by 182.
603103
Divide -40820598 by -27378.
1491
Divide -5295044 by 43402.
-122
-19113 divided by -120
6371/40
Calculate 120780 divided by -51.
-40260/17
What is 17336 divided by -2681?
-17336/2681
385471506 divided by 3381329
114
Divide 13191360 by -32.
-412230
Calculate 2853383 divided by -16.
-2853383/16
Calculate 12637520 divided by 2.
6318760
969513 divided by 13281
73
-773329572 divided by 7281
-106212
Divide -609 by 936326.
-609/936326
Calculate -4513673 divided by -4513673.
1
4978922 divided by -2489461
-2
Divide -7263972 by -206.
35262
What is 6661 divided by 46247?
6661/46247
What is 32085085 divided by -305?
-105197
1015130 divided by 3
1015130/3
Calculate -25046304 divided by -4.
6261576
Calculate -58931672 divided by -3.
58931672/3
What is -274035999 divided by -91345333?
3
What is -502192 divided by 13?
-502192/13
What is -15996975822 divided by -6?
2666162637
What is 45228393 divided by -1?
-45228393
What is -68742499 divided by 4?
-68742499/4
Calculate -744662688 divided by -30261.
24608
What is -31555 divided by 37?
-31555/37
What is -98 divided by 6790607?
-98/6790607
What is -31859817 divided by 65153?
-489
What is 9066 divided by 237?
3022/79
Calculate -16931320 divided by 28.
-604690
Calculate -1066416 divided by -3.
355472
335723 divided by 2
335723/2
Calculate -5033008 divided by -2516504.
2
What is -3 divided by -5502041?
3/5502041
What is -5 divided by -73346252?
5/73346252
What is 83476263 divided by -239187?
-349
-21229490 divided by -905
23458
Divide -34472924 by -13.
34472924/13
0 divided by 7810203
0
-8139103 divided by -7
1162729
Calculate -6546756 divided by -6.
1091126
Divide 1648 by 241021.
1648/241021
4286125 divided by -34289
-125
Calculate -426 divided by 90954.
-71/15159
Divide -1823 by 2641.
-1823/2641
What is 1057 divided by 13696?
1057/13696
Divide 2521 by 114330.
2521/114330
Calculate 7567 divided by -7531.
-7567/7531
Divide -416452764 by 19831084.
-21
What is -14623 divided by -159?
14623/159
What is 2508 divided by -1?
-2508
Calculate -353435 divided by 740.
-70687/148
Calculate -3147850 divided by -125914.
25
Calculate -4382025 divided by -4382025.
1
Calculate 6919 divided by 3927.
37/21
-3 divided by -2001419
3/2001419
Divide 137210928 by -1115536.
-123
Calculate 29040 divided by -1697.
-29040/1697
Divide -250351980 by 570.
-439214
Calculate -193547280 divided by 40.
-4838682
Calculate -5362 divided by -19976.
2681/9988
Calculate 25 divided by 309391.
25/309391
Divide 105851674 by -105851674.
-1
Calculate 41661724 divided by -41661724.
-1
Divide 3518478 by 1.
3518478
What is 2139 divided by 3199?
2139/3199
Divide -33220 by -8305.
4
18608 divided by -137
-18608/137
Calculate -1801094 divided by 19.
-1801094/19
Calculate -26 divided by 6083841.
-26/6083841
33124 divided by 123
33124/123
-2004012 divided by 222668
-9
Calculate -365665 divided by -941.
365665/941
What is -2371 divided by 119089?
-2371/119089
What is -105 divided by 173158?
-105/173158
Divide -1640 by 25956.
-410/6489
Divide 1218 by -1380.
-203/230
Calculate -9188398 divided by 5099.
-1802
What is -1 divided by 325399424?
-1/325399424
Calculate -1985900 divided by 70925.
-28
Divide -8236 by 118806.
-4118/59403
What is 4 divided by -45867687?
-4/45867687
What is 713 divided by 23645?
713/23645
Calculate 65081209 divided by 5.
65081209/5
What is 983113947 divided by -3?
-327704649
Divide 16735446 by -306.
-54691
Calculate 1371993 divided by -28.
-195999/4
-2 divided by -64400682
1/32200341
304129891 divided by -1
-304129891
Calculate -4266585 divided by -59.
72315
Divide 16917450 by 25.
676698
Calculate 23670552 divided by 346.
68412
Calculate 38613319 divided by -2.
-38613319/2
Divide 852598250 by -5.
-170519650
100 divided by -15767
-100/15767
What is -12525898 divided by 38423?
-326
Calculate -358803311 divided by 47.
-7634113
What is 1470 divided by 30288?
245/5048
Calculate -11994 divided by 19134.
-1999/3189
39092376 divided by -19546188
-2
-76685792 divided by -4
19171448
724 divided by 33575
724/33575
Calculate -1 divided by 45960645.
-1/45960645
What is -3502592 divided by -64?
54728
What is 129 divided by -449339?
-129/449339
Divide 9993243 by 32981.
303
What is 375405594 divided by 179534?
2091
Calculate 38 divided by -706109.
-38/706109
Calculate 333843740 divided by -4.
-83460935
Calculate -48 divided by -1100815.
48/1100815
What is 470 divided by 10514?
235/5257
What is 638 divided by 15890?
319/7945
What is 17561680 divided by 10064?
1745
Divide -36407440 by -2275465.
16
Calculate 497175460 divided by -1565.
-317684
What is 20 divided by 426012?
5/106503
Calculate -4 divided by -25844554.
2/12922277
Calculate -77845860 divided by -116.
671085
Calculate 2593630 divided by 562.
4615
Calculate 3179 divided by 1681.
3179/1681
944843 divided by -26
-944843/26
Divide -1617546 by -12162.
133
8 divided by 2890431
8/2890431
Divide -36389080 by 43064.
-845
Calculate 509907 divided by -56.
-509907/56
10688 divided by -325
-10688/325
6264912 divided by -33324
-188
What is 468074 divided by -46?
-234037/23
Calculate 1936 divided by -2275.
-1936/2275
What is -301503180 divided by -13569?
22220
Divide 1 by 296189.
1/296189
Divide -2454389 by 641.
-3829
Divide 517615 by 7.
73945
Divide 156689028 by 36.
4352473
What is 538857 divided by 9?
59873
0 divided by -2567599
0
Divide -122 by -103266.
61/51633
Divide -40581338 by -4439.
9142
What is 90798188 divided by 60211?
1508
35037 divided by -750
-11679/250
7600944 divided by -78
-97448
27313 divided by -1
-27313
-11596 divided by 908
-2899/227
Calculate 15221516 divided by -15221516.
-1
What is -1 divided by -9082515?
1/9082515
74432796 divided by -6
-12405466
Divide 67 by 23620.
67/23620
Divide 30 by -105259.
-30/105259
Divide -19491 by 475.
-19491/475
7 divided by 2150703
7/2150703
-1390030 divided by 6070
-229
898331616 divided by -102831
-8736
-63400890 divided by 905727
-70
Divide -7278520
|
{
"pile_set_name": "DM Mathematics"
}
|
plify (sqrt(2744) + sqrt(2744) + sqrt(2744)*2)/(sqrt(16)/sqrt(32)).
112*sqrt(7)
Simplify (-2*(sqrt(2) - sqrt(24)/(sqrt(36)/sqrt(3)) - sqrt(2) - sqrt(2)))**2.
32
Simplify ((6*(sqrt(130) - (sqrt(130) + sqrt(130)*1)))/(-2*sqrt(360) + sqrt(360)))**2.
13
Simplify (-4 + sqrt(343)*-1)**2.
56*sqrt(7) + 359
Simplify (-5*(3*sqrt(152) - sqrt(152)))/(sqrt(8) - (sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512) - (-3*sqrt(512) + sqrt(512))))))).
-10*sqrt(19)/17
Simplify (1*-1*sqrt(17))**2 - sqrt(1700)*4.
-40*sqrt(17) + 17
Simplify 2*(-1 + 5 + sqrt(512)).
8 + 32*sqrt(2)
Simplify ((sqrt(1700) + 4*(-2*sqrt(1700) + sqrt(1700) - sqrt(1700) - sqrt(1700)))*-6)**2.
7405200
Simplify (((sqrt(528) - -1*sqrt(528)) + sqrt(528))/(sqrt(300)*-2))**2.
99/25
Simplify (sqrt(612) + -1 + 3)**2 + ((5 + sqrt(612)*-1)**2 - sqrt(612)).
-42*sqrt(17) + 1253
Simplify 2 + (sqrt(11) - sqrt(44)) + -3 + -4.
-5 - sqrt(11)
Simplify (sqrt(2) - (sqrt(2) + -2)*-3)**2 - sqrt(88)/sqrt(11).
-50*sqrt(2) + 68
Simplify sqrt(228)/sqrt(108) + sqrt(76)*2.
13*sqrt(19)/3
Simplify (sqrt(132) - (sqrt(132) + -6*1*sqrt(132)))/((sqrt(96)*-1)/sqrt(8)).
-6*sqrt(11)
Simplify (4*(-1 + sqrt(432)) + (sqrt(432) - (4 + sqrt(432) + -2*sqrt(432) - sqrt(432))))**2.
-1344*sqrt(3) + 21232
Simplify sqrt(119)/(sqrt(35)/sqrt(5)*4).
sqrt(17)/4
Simplify sqrt(2057)*3*-5.
-165*sqrt(17)
Simplify -4 + (sqrt(325) + -2 + sqrt(325))**2 + 4 + sqrt(325) + 1.
-35*sqrt(13) + 1305
Simplify ((sqrt(78)/sqrt(50) + sqrt(39))/sqrt(3))**2.
468/25
Simplify 0 + 3*(4 + sqrt(2)).
3*sqrt(2) + 12
Simplify (sqrt(22)/(sqrt(22)/sqrt(2)))**2 - (2*sqrt(98) + sqrt(98))**2.
-880
Simplify (-1*sqrt(136))/(2*sqrt(128)).
-sqrt(17)/8
Simplify 3 + (sqrt(8)/(sqrt(16)/sqrt(4)) + 0)**2.
5
Simplify 1*(sqrt(27)/(sqrt(63)/sqrt(7)) + 1).
1 + sqrt(3)
Simplify (4 + (0 + sqrt(99))*-3 + 1)**2.
-90*sqrt(11) + 916
Simplify ((-2*sqrt(65))/sqrt(5) + -5)*-5.
25 + 10*sqrt(13)
Simplify -2 + sqrt(14)/sqrt(7) - (sqrt(2) - sqrt(48)/sqrt(6)).
-2 + 2*sqrt(2)
Simplify (sqrt(175)/sqrt(5)*5)/(sqrt(5) + sqrt(450)/sqrt(10)).
5*sqrt(7)/4
Simplify -2*(sqrt(125)*-1)**2.
-250
Simplify (-4*sqrt(882))/sqrt(9) + -5.
-28*sqrt(2) - 5
Simplify 2 + 6*(sqrt(2) + sqrt(2)*2)*3 + -1.
1 + 54*sqrt(2)
Simplify sqrt(18)/(sqrt(18)/sqrt(3)*3).
sqrt(3)/3
Simplify (0 + sqrt(2448) - (sqrt(612)*-2 + sqrt(612)))**2.
5508
Simplify 6*2*sqrt(175)*2.
120*sqrt(7)
Simplify -4 + 2 + (sqrt(180) - (sqrt(180) - sqrt(180)*2)) + 4.
2 + 12*sqrt(5)
Simplify (-5 + sqrt(76)/(sqrt(4)*-1) + -1 + sqrt(1216))**2.
-84*sqrt(19) + 967
Simplify (sqrt(17) + -1 + sqrt(153) + sqrt(17) - (sqrt(17) + sqrt(17) + 1 - sqrt(17))**2*6)*2*4.
-872 - 56*sqrt(17)
Simplify (-3*(-4 + sqrt(704)))**2.
-576*sqrt(11) + 6480
Simplify (sqrt(60)/(2*sqrt(192)))**2.
5/64
Simplify 2 + sqrt(13) + sqrt(26)/sqrt(2)*-5.
-4*sqrt(13) + 2
Simplify (-2*sqrt(448) + sqrt(448) + -2)*-1.
2 + 8*sqrt(7)
Simplify 2*sqrt(170)/(-2*sqrt(360)).
-sqrt(17)/6
Simplify -1 + sqrt(1100)*2.
-1 + 20*sqrt(11)
Simplify (-5*sqrt(1377)*-5)**2.
860625
Simplify (-5 + sqrt(99)*-2)**2 + -3.
60*sqrt(11) + 418
Simplify (-5 + (-1 + sqrt(7) - sqrt(7)) + sqrt(7) + sqrt(7) + 4)**2 - ((-1*sqrt(112))**2 + sqrt(7) - (sqrt(252) + 1)).
-79 - 3*sqrt(7)
Simplify (sqrt(65)/sqrt(5)*-1 + sqrt(117)*-5)**2.
3328
Simplify ((3*(sqrt(20) + sqrt(40)/sqrt(2)))/(sqrt(196)*-3))**2.
20/49
Simplify 3*sqrt(68) - 3*sqrt(17)*-3.
15*sqrt(17)
Simplify -1*sqrt(78)/(sqrt(6) + -2*sqrt(12)/sqrt(2)).
sqrt(13)
Simplify -5*(-3 + -4 + sqrt(7))*1.
-5*sqrt(7) + 35
Simplify 3*(4 + (sqrt(68))**2).
216
Simplify (sqrt(7) - (sqrt(7)*5 + -3)**2) + (sqrt(252) + 1)**2.
69 + 43*sqrt(7)
Simplify ((sqrt(5500)*1)/(sqrt(30)/(sqrt(6)*-1 - sqrt(6)) - sqrt(5)))**2.
4400/9
Simplify 0 + 2*sqrt(7) - (4 + sqrt(7) + -2)**2.
-11 - 2*sqrt(7)
Simplify (sqrt(176) + 2 + 1)*6.
18 + 24*sqrt(11)
Simplify (5*(sqrt(95) + 1*sqrt(95) + sqrt(95)))/((sqrt(5) + sqrt(125))*4).
5*sqrt(19)/8
Simplify ((sqrt(7) + sqrt(7) + -1 + -1)**2 + (sqrt(7) - (2*sqrt(252) + sqrt(7)))**2)*-3.
-3120 + 24*sqrt(7)
Simplify 2*sqrt(304) - (5 + sqrt(76)/sqrt(4)).
-5 + 7*sqrt(19)
Simplify (sqrt(198)/sqrt(275))/(-1*sqrt(12)/sqrt(2)).
-sqrt(3)/5
Simplify (sqrt(13) - (sqrt(208)/sqrt(4))/sqrt(4)) + 4 + sqrt(325).
4 + 5*sqrt(13)
Simplify 6*(1*sqrt(17) + sqrt(17) + sqrt(17)) + (sqrt(85)*-2)/sqrt(5).
16*sqrt(17)
Simplify (sqrt(171)*2 + sqrt(171) - sqrt(171))/sqrt(9) + sqrt(19) + 2.
2 + 3*sqrt(19)
Simplify (-4*(1 + sqrt(320)))**2.
256*sqrt(5) + 5136
Simplify ((0 + sqrt(272) - sqrt(272))*-5)**2 + 2 + (sqrt(204)/(sqrt(36)/sqrt(3)))**2.
19
Simplify -1*(-2 + sqrt(19)) + 2.
-sqrt(19) + 4
Simplify 4 + 1 + sqrt(153) + (-1 + sqrt(153))**2 + sqrt(153)*-2 + -4.
-9*sqrt(17) + 155
Simplify (sqrt(252)*-1)**2 - (-3 + sqrt(49)/sqrt(7)).
-sqrt(7) + 255
Simplify (-3*(sqrt(99) + 0))**2.
891
Simplify ((sqrt(2299) + 1)*6)**2*3.
2376*sqrt(19) + 248400
Simplify (-4*(sqrt(425) + 3 - sqrt(425)))**2.
144
Simplify sqrt(187)/((sqrt(121)*5)/sqrt(11)).
sqrt(17)/5
Simplify -6*(sqrt(18) + 3).
-18*sqrt(2) - 18
Simplify ((sqrt(20) - (-2*sqrt(320) + sqrt(320) + sqrt(320) + sqrt(20)))/(sqrt(576) + sqrt(576)*1))**2.
0
Simplify (sqrt(10)/(5*-2*sqrt(2)))**2.
1/20
Simplify -1 + sqrt(63) - 1*sqrt(567).
-6*sqrt(7) - 1
Simplify 6*(6*(sqrt(20)/sqrt(4))**2*-6 + 2).
-1068
Simplify sqrt(13) + (sqrt(468)*-1)**2 - (sqrt(13) + 4*(sqrt(208))**2).
-364
Simplify sqrt(20)/(2*sqrt(4)) - (1 + sqrt(20)).
-3*sqrt(5)/2 - 1
Simplify 2*sqrt(8)/(sqrt(16)/sqrt(4)) + -2.
-2 + 2*sqrt(2)
Simplify 2*sqrt(17)*-2 - (4 + sqrt(17) + -2).
-5*sqrt(17) - 2
Simplify (sqrt(180)/sqrt(90))/sqrt(6).
sqrt(3)/3
Simplify (-6*(sqrt(153)*2 - sqrt(153)))**2.
5508
Simplify ((1 + sqrt(7))*-5)**2 - (4*sqrt(700) + sqrt(700))**2.
-17300 + 50*sqrt(7)
Simplify (sqrt(18)/sqrt(48))/((sqrt(6) + sqrt(18)/sqrt(3) - sqrt(6))/sqrt(3)).
sqrt(3)/4
Simplify ((2*sqrt(275) - sqrt(275)) + -2 - ((sqrt(275) + 2 - sqrt(275)) + 4))**2.
-80*sqrt(11) + 339
Simplify -4*sqrt(1216)*-3.
96*sqrt(19)
Simplify -6*((sqrt(2673) - sqrt(2673)*-2)/sqrt(3))**2.
-48114
Simplify (sqrt(300) + sqrt(300) + (sqrt(300)*-2 + sqrt(300))*-2)/(-4*sqrt(96)).
-5*sqrt(2)/4
Simplify -3 + (sqrt(17) - (sqrt(68)*2)/sqrt(4))*6.
-6*sqrt(17) - 3
Simplify (sqrt(27) + -1)**2 - -6*sqrt(12)/sqrt(4).
28
Simplify 4*sqrt(20)/(sqrt(160) + sqrt(10)).
4*sqrt(2)/5
Simplify 4 + (-1 + sqrt(171))**2.
-6*sqrt(19) + 176
Simplify (3*(sqrt(343) + 0)*-3)**2.
27783
Simplify -1*((sqrt(121) - ((sqrt(121) - (sqrt(121) - (sqrt(121) - (3*sqrt(121) + sqrt(121))))) + sqrt(121)))/sqrt(11)*-5)**2.
-2475
Simplify (6*-2*sqrt(187))/((sqrt(704)*1 - sqrt(704)) + sqrt(11)).
-12*sqrt(17)
Simplify (-3*(sqrt(121) + sqrt(121)*-2 - sqrt(121) - sqrt(121)))/sqrt(11).
9*sqrt(11)
Simplify 4 + 0 + sqrt(612).
4 + 6*sqrt(17)
Simplify sqrt(60)/(sqrt(1728) + sqrt(1728)*-1 - sqrt(12)).
-sqrt(5)
Simplify (sqrt(2744) - (2*sqrt(2744) + sqrt(2744)))/sqrt(8).
-14*sqrt(7)
Simplify -5 + -2 + -1*sqrt(3).
-7 - sqrt(3)
Simplify (0 + sqrt(320) - sqrt(320))*6.
0
Simplify sqrt(52)/(sqrt(16) - sqrt(64) - sqrt(4)).
-sqrt(13)/3
Simplify ((sqrt(1300) + -2 + sqrt(1300) - sqrt(1300))*-3*-1)**2.
-360*sqrt(13) + 11736
Simplify sqrt(35)/(sqrt(7) + sqrt(28)/sqrt(4)) + (sqrt(5) - (sqrt(80)/sqrt(4) + sqrt(20))**2).
-80 + 3*sqrt(5)/2
Simplify -4 + 4*sqrt(11) + 6*sqrt(44).
-4 + 16*sqrt(11)
Simplify (3*((sqrt(432) - sqrt(12))/sqrt(4) - sqrt(3)) + -4)**2.
-96*sqrt(3) + 448
Simplify (sqrt(12)/sqrt(294))**2 - (-4 + sqrt(72) - sqrt(72)).
198/49
Simplify (sqrt(120)/sqrt(5)*3)/(1*sqrt(1152) + sqrt(1152)).
sqrt(3)/8
Simplify -1*sqrt(180) + 3.
-6*sqrt(5) + 3
Simplify (4 + sqrt(11)*2 + 4 + sqrt(33)/sqrt(3))**2.
48*sqrt(11) + 163
Simplify (3*sqrt(7))**2 + -2 + 2*sqrt(847).
22*sqrt(7) + 61
Simplify (-1*sqrt(66)*3)/(sqrt(6) - (sqrt(6) + (sqrt(24) - 2*sqrt(24))/sqrt(4))).
-3*sqrt(11)
Simplify sqrt(325)*3 + 1 + -1.
15*sqrt(13)
Simplify (5 + 1*sqrt(11))**2 + 3*(sqrt(11) + -1) + 3.
36 + 13*sqrt(11)
Simplify sqrt(475) + (sqrt(475) + 2)**2 + -1 + (sqrt(475) + 0 + -5)**2.
-25*sqrt(19) + 978
Simplify (-6*-2*sqrt(99))/sqrt(9).
12*sqrt(11)
Simplify 2*sqrt(209)/(sqrt(11) - sqrt(66)/sqrt(6)*-5).
sqrt(19)/3
Simplify (-5*2*sqrt(252))/((1*sqrt(9) + sqrt(9))*-1).
10*sqrt(7)
Simplify (sqrt(2178)*1)/sqrt(9).
11*sqrt(2)
Simplify 3 + -4*(sqrt(500) + sqrt(500) + sqrt(500)*-1)**2 + 3.
-1994
Simplify ((sqrt(170) + -4*sqrt(170))*-4)/sqrt(10).
12*sqrt(17)
|
{
"pile_set_name": "DM Mathematics"
}
|
e -441 = -2*a - 5*a. Let h = -39 + a. Does 13 divide h?
False
Let i = -64 + 68. Let n = -11 - -16. Suppose i*w = -2*o + 176, 219 = n*w + 2*o + o. Is 15 a factor of w?
True
Let t = 101 + -59. Suppose -t = -2*n + 4*d + 68, 0 = 2*n - 3*d - 114. Is 9 a factor of n?
True
Let m = 37 + 9. Suppose 11 = v - 0*v - d, -2*d - m = -4*v. Is 7 a factor of v?
False
Let s = -9 - -25. Suppose 12*l - 32 = s*l. Does 20 divide ((-4)/l + 2)*24?
True
Suppose -4*c + 2382 = n - 7*c, -4*n - 2*c + 9542 = 0. Is n a multiple of 15?
True
Let m(j) = j**3 - 9*j**2 - 53*j + 14. Is 12 a factor of m(14)?
True
Let k(j) = -j**2 - 10*j + 10. Let f(y) = y**2 + 10*y - 10. Let o(a) = -5*f(a) - 6*k(a). Let m be o(-11). Is 18 a factor of 1 + (-2 - m - -40)?
False
Let v(c) = c**3 - 9*c**2 + c - 5. Let k = 19 + -10. Let o be v(k). Suppose -o*z + 184 = -0*z. Is z a multiple of 23?
True
Let i = -84 - -154. Let h = -29 + i. Suppose -h - 31 = -4*n. Does 10 divide n?
False
Suppose 2*a = 235 - 17. Is 25 a factor of a?
False
Let f(w) = 4*w + 43. Let t be f(-10). Does 17 divide ((-112)/(-24))/7 + 430/t?
False
Let c(x) = -x**2 - x - 1. Let z(t) = -2*t**2 - 3*t. Let a(n) = -4*c(n) + z(n). Does 21 divide a(-5)?
False
Suppose -s = -4*n - 50, n + 2*s + 11 + 6 = 0. Let h = n + 17. Suppose 5*a - h*a - 45 = 0. Is 15 a factor of a?
True
Let p(q) = -2*q**3 - 8*q**2 + 4*q. Let a(h) = -h**3 - 7*h**2 + 3*h + 1. Let l(m) = -3*a(m) + 2*p(m). Let x be 0 - (-4)/(2 - 1). Does 2 divide l(x)?
False
Is (-2308)/(-7) + (-7)/49*-2 a multiple of 7?
False
Suppose -u - 3*h = u - 2000, -5*u = 2*h - 5022. Is u a multiple of 87?
False
Let i(s) be the first derivative of 3*s**4/4 - 5*s**3/3 - 3*s**2/2 + 2*s - 16. Is 7 a factor of i(3)?
False
Let a(o) = -o + 3. Let r(v) be the third derivative of v**4/12 + v**3 + 2*v**2. Let b be r(-6). Is a(b) a multiple of 9?
True
Suppose -g - t + 4*t = 21, -5*g + 3*t - 45 = 0. Let w be (-6)/(-21) - 9344/(-224). Let l = g + w. Is l a multiple of 7?
False
Suppose -3 = 3*i - 3*k - 0, 0 = 3*i - 5*k - 7. Does 6 divide i*4/9*-12?
False
Let p = 33 - -9. Suppose -3*f = -2*r - 225, 4*f + 3*r - 359 + p = 0. Let h = f + -43. Is 17 a factor of h?
True
Let r = 421 + -289. Is 4 a factor of r?
True
Let w = 50 + 8. Let t = w + 79. Suppose 0 = -4*x - 5*a + t, -3*x + 3*a + 108 = 5*a. Is 10 a factor of x?
False
Let b(d) = 5*d + 9. Let h(o) = 5*o + 10. Let i(x) = 5*b(x) - 6*h(x). Let a be i(-12). Let g = a + 11. Is 28 a factor of g?
True
Suppose -3*w - 19 = r, w - 9 = 4*r + 2. Let o(a) = a**2 + 5*a + 6. Let v be o(w). Suppose -2*p = 5*l - 172, -v*l + 3*p + 133 = -2*l. Is l a multiple of 21?
False
Suppose 2*z + 20 = 6*z. Suppose 2*s + 2*r - 3 = 3*r, 3*s - z*r - 1 = 0. Suppose -3*x + 5 = 2*x, -2*x - 32 = -s*n. Is 15 a factor of n?
False
Suppose -14 = 3*y - 5*y. Suppose 2*q - y*q = -210. Suppose -2*j - q = -222. Is j a multiple of 24?
False
Let v be 3 + -1 + (-12)/6. Suppose 3*k = 2*j + 197, v = 3*j - 6*j + 15. Is k a multiple of 25?
False
Suppose 0 = g + 2*g - 147. Let w = 100 - g. Is w a multiple of 17?
True
Does 19 divide (-27 + 30)/((-1)/(-19))?
True
Let g = 345 - 234. Suppose -2*d - d + g = 0. Is d a multiple of 23?
False
Let f = 229 - -739. Does 45 divide f?
False
Is 30 a factor of 9/((-18)/4) + (488 - 6)?
True
Suppose -7*n = 6*n + 910. Is (-30)/n - -65*(-2)/(-7) a multiple of 4?
False
Is 75 a factor of (2751 - -4)*(-36)/(-90)?
False
Suppose 0 = 4*q + 5*n + 47, 5*q + 55 = q + 3*n. Let a = -11 - q. Suppose -20 = -a*v + o, 2*o = v - 2*o - 3. Does 10 divide v?
False
Suppose -3*m = -2*b - 8, 2 = -m - 0*m - 4*b. Let g be 6 + -1 - 66/22. Suppose 0 = 3*h + g*c - 13, -m*c + 7*c - 1 = 3*h. Does 3 divide h?
True
Let c(b) be the third derivative of -7*b**4/24 - 17*b**3/6 - 10*b**2. Does 4 divide c(-5)?
False
Let k(s) = -2*s + 13. Let b be k(7). Let m be (b + 2)*(-20 + 20). Suppose m = -3*t + 265 + 71. Is t a multiple of 30?
False
Let s(i) = -12*i. Let t be s(-1). Let k = t + -11. Let z = k + 20. Does 15 divide z?
False
Let l be ((1 - 3) + 2 + 0)/(-1). Suppose l = -3*u - 3*u + 324. Is u a multiple of 15?
False
Suppose -274 = -j + w + 1206, -4*j + 5904 = 4*w. Is j a multiple of 60?
False
Suppose 149*c - 11970 = 128*c. Is c a multiple of 38?
True
Suppose -5*l = y - 29, 4*y = -y - l + 25. Suppose 5*g - 84 = -y*r + 4, -34 = -2*g - 2*r. Is g a multiple of 5?
True
Let u(w) = -10*w - 6. Let h be u(3). Let m be 0 - h*(0 + 1). Suppose -9*b = -10*b + m. Is 18 a factor of b?
True
Let x(t) = -7*t**3 - 2*t**2 + 8*t + 5. Let i be x(-3). Is 24 a factor of (-1 + i)/((4 - 7) + 4)?
False
Suppose -18*k + 798 = -4*k. Does 4 divide k?
False
Let l(b) = 33*b**2 + 5*b - 26. Does 18 divide l(4)?
True
Let j be 4 + 7 - (1 - 2). Suppose 0 = -3*o + j, 555 = 5*c + 2*o - 208. Does 16 divide c?
False
Let n = 434 + -318. Is n a multiple of 29?
True
Let o(i) = 1 - 3 + 4*i - 3. Suppose h + 0*h = 4. Does 11 divide o(h)?
True
Let s = 47 + -31. Let u be 1 + -26*3/(-3). Let v = u - s. Does 3 divide v?
False
Suppose 0*d - 3*d - 12 = 0. Let j be (364/(-16))/(d/16). Suppose 4*b = j + 217. Is b a multiple of 17?
False
Let n be -1 + 3 + -2 + -79. Let k = -45 - n. Let r = 49 - k. Is r a multiple of 3?
True
Suppose 4*g + 6*h - 18 = 9*h, 3*g = -4*h + 26. Does 6 divide g?
True
Let z(c) = -c**2 + 6*c - 7. Suppose -4*d + 14 - 34 = 0. Let u be z(d). Let a = 137 + u. Is a a multiple of 15?
True
Let g(p) = p**3 - 13*p**2 + 2*p - 10. Suppose 7 = -5*y + 32. Suppose -r + 44 = y*j + 11, 5*j - 20 = 0. Is g(r) a multiple of 6?
False
Let y(g) = g**3 - 6*g**2 + 4. Let p be y(6). Suppose -5*k + 20 = 3*h - 0*k, p*k - 16 = -2*h. Suppose h = 5*w - w - 164. Is 29 a factor of w?
False
Let m(n) = n**2 + 2*n + 5. Let r(g) = g**2 + 5*g + 9. Let l(s) = 10*m(s) - 4*r(s). Is 11 a factor of l(4)?
True
Does 9 divide 30/(-18)*-3 + (-2 - -167)?
False
Does 14 divide (2884/(-6))/((-1)/3 + 0)?
True
Suppose 5*g - 2545 = -4*a + 1164, g - 2779 = -3*a. Is 6 a factor of a?
False
Let l be 2/8 - (-103)/8*2. Suppose -13 = -z + l. Is 4 a factor of z?
False
Let q(g) = g - 2. Let t = -14 + 18. Let l be q(t). Suppose 6*k = 5*s + k - 355, 3*s + l*k = 198. Is s a multiple of 21?
False
Suppose 5*r - 937 = 178. Does 16 divide 25/25 - r*-1?
True
Suppose 0 = -4*f + 82 + 478. Does 5 divide f?
True
Does 10 divide 102 + 16*(-8)/(-16)?
True
Let q = -8 - -8. Suppose q = -6*g + 519 + 195. Is g a multiple of 17?
True
Does 52 divide (52/10)/((-25)/(-1500))?
True
Suppose 7 = 3*c - 8. Let m(d) = -d**2 + 12*d - 3. Is m(c) a multiple of 8?
True
Let l(k) = -k**2 + 7*k + 8. Let q be l(6). Suppose -2*y + 2*p = -2*p - q, -2*p = 2*y - 2. Suppose h - 28 = -y*h. Does 3 divide h?
False
Let l(i) = -i**2 + i + 12. Let h be l(-12). Let r = -79 - h. Is r a multiple of 26?
False
Let a = -9 + 1. Let y be (-1635)/(-6)*a/(-10). Suppose 5*z + 68 - y = 0. Is z a multiple of 30?
True
Let l(a) be the first derivative of a**5/10 + a**4/8 + 2*a**3 + 2. Let t(w) be the third derivative of l(w). Does 13 divide t(3)?
True
Suppose 0 = -4*q + 2*i + 38, -4*i + i - 1 = q. Suppose -4*h + q + 0 = 0. Suppose 3*v + 27 = -4*l + 80, -h*l + 24 = 2*v. Is l a multiple of 17?
True
Suppose 9*y - 4*i = 10*y - 1342, -1327 = -y - i. Does 82 divide y?
False
Suppose 6*b - 14*b = -5440. Does 15 divide b?
False
Suppose 6*n - 15 = 3*n. Let b = -27 - -49. Suppose -b = n*r - 287. Is r a multiple of 14?
False
Suppose -2*b - 4*l = -5*b + 579, b + 5*l = 193. Does 59 divide b?
False
Let h be (-15)/(-10)*(41 - -1). Suppose l + u - 4*u = h, 4*u = 3*l - 199. Suppose n + l = 2*n. Is 16 a factor of n?
False
Let u = 125 - 86. Does 2 divide u?
False
Suppose -4*y - 3*g - 131 = 0, 4*g - 11 = 1. Let q = y - -39. Suppose -3*j + 33 = 2*t, -q*j = -t - 8 - 36. Is j a multiple of 10?
False
Let u(i) = i + 355. Let z be u(0). Suppose 7*j = 2*j - z. Let d = -42 - j. Is 12 a factor of d?
False
Let n be (-51)/(-24) - 4/32. Suppose 2*k + 5*u - 145 = 0, 5*k + n*u = 6*k - 77. Is 15 a factor of k?
True
Let n = -606 - -898. Let x = -172 + n. Is 15 a factor of x?
True
Suppose 2*w + 3*w = -3*i + 751, i = -4*w + 255. Is 19 a factor of i?
True
Let m be -9*(28/6)/(-7). Let z(a) = a**3 - 8*a**2 + 12*a + 2. Does 2 divide z(m)?
True
Let r be (555 + -1)*(6 - 33/6). Suppose -3*b + 4*c + r = 0, 10*b + 5*c - 520 = 5*b. Does 12 divide b?
False
Let w(u) = -u**2 - 6*u + 9. Let m be w(-6). Let b(h) = h + 3. Let j b
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest to r in f, -0.4, 1?
-0.4
Let t be (1/(-7))/(918/378). What is the closest to -3/4 in t, -2, 1?
t
Let h = -2.45 - -4.45. Which is the nearest to 0.3? (a) 7 (b) -0.4 (c) h
b
Suppose 23 + 34 = 19*y. Let a be (-2)/y + 2 + -3. What is the closest to a in -0.5, 0.4, 1/9?
-0.5
Let p = -38.6 + 38.8. Which is the closest to 19? (a) 0.05 (b) 2/5 (c) p
b
Let c be (-4)/120*(-10 - -6). What is the closest to -2 in -3/4, c, -5, -2/5?
-3/4
Let j = -2.9584 + -0.0416. Which is the nearest to 0.1? (a) 1/9 (b) j (c) -0.5
a
Let c = 77/1110 + -15/74. What is the nearest to -4/11 in c, 0, -1/6, -1?
-1/6
Let d = 1.4 + -1.5. Let n = 20/3 + -23/4. Let t = 2/3 - n. Which is the nearest to -1? (a) t (b) d (c) 0.5
a
Let l = -7.3 + 7.1. Let c = 44.3 - 50. Let i = 6 + c. What is the nearest to l in 3, i, -2/7?
-2/7
Let x = 4 + -5.2. Let i = x - -0.8. What is the nearest to -1 in -2, i, 3/7?
i
Let v be (-2 - (-16)/20)*5/(-14). Let i(y) = -y**2 + 6*y + 3. Let l be i(7). Let b be (11/l - -2) + 1. What is the closest to 0 in b, -3, v?
b
Let n = 3.17 + -8.17. Which is the nearest to -1? (a) 0 (b) 22 (c) 2/11 (d) n
a
Let f = -779 - -776. Which is the nearest to 1/9? (a) f (b) 1/2 (c) 0.3 (d) 0.11
d
Let g = 15 + -9. Let j = g - 2. Let t = -94 + 187/2. Which is the nearest to -2/9? (a) -5 (b) t (c) j
b
Let m be (20/8 - 2)*9. Let z = -0.2445 + -0.0555. What is the nearest to 0.1 in 2, m, z?
z
Let w = 0.8 - 1.2. Let z = 103/20 - 22/5. Let x = 8 - 6. What is the closest to -3 in z, x, w?
w
Let z = 2.2 - 0.2. Let j = z + -1. Let b = 11/194 + 527/970. What is the nearest to 0 in b, -4, j?
b
Suppose -2*i = 2*i - 5*a - 24, -21 = -5*i + 4*a. What is the closest to -1 in 0.1, 31, 0.3, i?
0.1
Let d = 10 + -7. Let f = -3/17 - 5/68. What is the closest to -0.1 in d, 5, f?
f
Let y = -909 + 904. Let d be (2/(-3))/((-2)/(-6)). Let s = -5.6 + 6. Which is the nearest to d? (a) y (b) -3 (c) s
b
Let f = 0.3 + -0.21. Let s = -7.09 + f. Let z = s + 6.7. Which is the nearest to 2? (a) 5 (b) z (c) 0.3
c
Let h be (56/140)/(2/25). What is the closest to 2/3 in -40, -2/3, h?
-2/3
Let g = 8.6 + -9. Let i = 3272/7 - 467. What is the closest to -4/9 in g, i, -2?
g
Let z = 2446 - 2446.4. Let i(o) = -o**3 - o**2 - 2*o - 1. Let t be i(-3). Which is the closest to -2/3? (a) 5 (b) t (c) z
c
Let m be 2 - (-576)/5 - 8/40. Let h = 469/4 - m. Which is the nearest to h? (a) -5 (b) 0.3 (c) 4
b
Suppose j - 4*g + 0 = -2, -3*j = 5*g + 6. Let s be ((-4)/28)/(j/(-4)). What is the closest to 2/5 in s, -3/7, -3/8?
s
Let s be 2/(-14) + 121/(-231). Let i = -0.023 - 30.977. Let z = i + 27. What is the closest to s in z, 1/5, 0?
0
Let x = -0.21 - 9.79. Let l = 10 + x. What is the nearest to l in -3, -1, -0.1?
-0.1
Let s = 0.594 - 0.034. Let y = s + -1.56. Which is the closest to -5? (a) 0 (b) y (c) -3/4
b
Let x be (-5)/(2 - (-28)/(-12)). Let q be (-8)/(-20) + 0 + 14/x. Which is the closest to -0.1? (a) q (b) 0.4 (c) -3
b
Suppose 418*l + 75 = 433*l. What is the nearest to -1 in 1/4, -0.1, 0, l?
-0.1
Let v(q) = 2*q**3 + 3*q**2 - q - 2. Let t be v(-2). Let n = 5.6 - 10.5. Let m = n - -4.9. Which is the nearest to m? (a) 0.6 (b) t (c) -1
a
Let a = 214 - 220. What is the nearest to 2 in a, 3, -1/3?
3
Let u = 19 - 22.2. Let v = 3.3 + u. Let n = 2 + -2.4. What is the nearest to 2/5 in v, n, -5?
v
Let s = 0.03 + -0.33. Let w = 2126 + -2129. Which is the closest to 0.1? (a) s (b) 1/8 (c) w
b
Let z = -4.3 - -4. Let l(f) = -f**2 - f + 5. Suppose 3*g = 4*g - 2*g. Let y be l(g). What is the closest to 1 in z, y, -2?
z
Let f = -0.74 + 4.04. Let d = -19.3 - -23. Let m = d - f. What is the nearest to -0.1 in -2/13, m, 2/9?
-2/13
Let o = 5768.1 + -5768. Let f = 3.7 - 0.7. Which is the nearest to -2? (a) 1 (b) o (c) f
b
Let c be 9/((-63)/(-2)) + 1/7. What is the closest to 1 in -4, c, 8/9, 0.2?
8/9
Suppose -j + 5*i + 1 = 0, 9*i = 8*i. Let h(z) = z**2 + 3*z - 5. Let c be h(-4). What is the nearest to j in c, 0.4, -2?
0.4
Let g be 41/(-656)*(3 + -7). Which is the closest to g? (a) 2 (b) 1.3 (c) 1
c
Let o = 0.02 - -0.03. Let n = 0.15 + o. Suppose -2 = 2*r - r. What is the closest to r in 0.1, n, 2/3?
0.1
Let c = -100 - -100.1. What is the closest to 1/2 in -2/3, 1/7, c?
1/7
Let f = -1381 - -1379.931. Let x = 0.069 + f. Let i be ((-1)/(-18))/(3/(-12)). Which is the closest to 1/3? (a) i (b) x (c) 1/6
c
Let h = -0.01 + 0.31. Let v be -12 + (19 - 20) + 14. Which is the closest to 1/2? (a) v (b) 0.1 (c) h
c
Suppose -2*v + 6*v - 8 = 0. Let g be ((-18)/30)/((-3)/v). Let n = -197 + 1375/7. Which is the closest to -2/15? (a) n (b) -2 (c) g
a
Let s = 0.6 + -0.1. Let p = -3 + s. Let o = -0.5 - p. Which is the closest to 0? (a) o (b) 0.4 (c) 2/9
c
Let t = -12 + 11. Let l = 24 - 29. What is the nearest to t in l, 4/7, 1?
4/7
Let b = -51 - -9. Let f = 85/2 + b. What is the nearest to -0.1 in f, -1/5, 2?
-1/5
Let y = -87.3 - -88.3. What is the nearest to y in 62, 0, -0.1, 3?
0
Let g = -36/13 + 33/26. What is the nearest to -0.1 in -2/7, g, 1/2?
-2/7
Suppose 0*t + 25 = -5*t. Let k be (-11)/30 + 7/35. What is the closest to 2/7 in t, k, -3?
k
Suppose 2*w - 3 = 3. Let s = 21.65 - 21.15. What is the nearest to -1/5 in s, -5, w?
s
Let c(t) = -t**3 + 4*t**2 + 6*t - 1. Let o be c(5). Suppose -o*w = 2 - 10. What is the nearest to -2/19 in 0.1, w, 2/5?
0.1
Let h = -0.0309 - -0.1309. Which is the closest to 2/11? (a) h (b) 2 (c) -5
a
Let j = -5 + 2. Which is the nearest to 0.1? (a) -0.4 (b) -13 (c) j
a
Let z = 303 + -305. Which is the closest to z? (a) -2/3 (b) -1/12 (c) -2
c
Let o = 0.5 + 2.5. Let i = -3.1 - -3. Which is the nearest to -0.1? (a) i (b) o (c) 4
a
Let f(p) = p**2 - 3*p - 1. Let w be f(0). Let t = -1.4 - -0.4. Which is the closest to t? (a) w (b) -2 (c) -0.4
a
Let q be (-21)/(-28)*(-8)/12. What is the nearest to 3/5 in -1/7, q, 0?
0
Let d = -3.6 + 4. Let t = 0.6 + -1.3. Let c = t + -0.3. What is the nearest to -0.1 in d, 1/6, c?
1/6
Suppose -20 = 2*m - 4*q, -14*q + 18*q = -m + 20. What is the nearest to 6 in -1, 2, 0.1, m?
2
Let n = -0.853 + 0.553. Which is the nearest to -15? (a) -2/9 (b) n (c) 5 (d) 3
b
Let q = -0.3 - -0.4. Let y be (1 - 99/45)*20/(-6). What is the nearest to q in -2, -12, y?
-2
Let q be 41 + 2/12 + 14/(-12). Let p be (q/150)/((-2)/5). What is the closest to 2 in -5, p, -0.4?
-0.4
Let x = 0.2 - 0.28. Let o = 5.08 + x. Let v = -5 + o. What is the closest to v in -1/4, 0.4, -0.5?
-1/4
Let c = 19.05 - 19. Let o = c - 0.55. What is the nearest to -0.1 in 1.2, 5, o?
o
Let h = -841 - -850. What is the nearest to 0 in 3, h, 2?
2
Let a = -0.121 + 0.621. What is the nearest to -1/13 in a, -2, -2/19?
-2/19
Let j = -47 - -45. Let u be j/4*(-4)/1. Which is the closest to 0.1? (a) 6 (b) 3/5 (c) u
b
Let l = -10.94 + -0.06. Let x = 10.75 + l. Let r = x - 0.15. What is the closest to 0.1 in r, 5, 1/6?
1/6
Let g be ((-21)/(-28))/((132/(-32))/1). Which is the nearest to 1? (a) -1/4 (b) 2 (c) g (d) -0.3
b
Let m be 45/(-9) + ((-30)/(-7) - -1). Which is the closest to 5/3? (a) -3 (b) -1 (c) -0.4 (d) m
d
Let p = 141 - 708/5. Let z be 28/(-8)*6 + -1. Let m = -23 - z. What is the nearest to -0.1 in -1/5, p, m?
-1/5
Let n = -0.54 - -46.54. Let s = n - 46.3. Let d = -3 - -4. Which is the nearest to d? (a) -1 (b) -0.07 (c) s
b
Let r be -9 - 1 - 1488/(-144). Which is the nearest to r? (a) -3 (b) 0.5 (c) -0.11 (d) -0.4
b
Let g be (-7)/(-4)*76/(-57). Which is the closest to 0? (a) -0.5 (b) g (c) 2
a
Let i be (1 - 531/63) + 7. What is the closest to 0.1 in 3, 461, i?
i
Let k = 124/639 - -2/71. Let z be 3/((-1)/(-1)) + 154/(-49). Which is the nearest to k? (a) z (b) 3 (c) 0.5
c
Let g = 2199/2 - 1099. What is the closest to 63 in g, 0.1, 3, -1/9?
3
Let u = -512 + 507. Which is the closest to 0.1? (a) -1 (b) 0 (c) u (d) -4
b
Suppose 400 = -5*o + 5*k, 0 = 3*o + 4*k + 331 - 70. Let v = -80 - o. Which is the nearest to 0.1? (a) 1 (b) v (c) 5/6
c
Let k = -4 + 5. Let t = 6.67 + -6.87. What is the closest to -1/8 in t, 4/5, k?
t
Let k = -9.2 + 0.4. Let d = -9.8 - k. What is the closest to 6 in d, -2/5, 3?
3
Let y = -35.5 - -34.5. Which is the nearest to -1? (a) -0.1 (b) 2 (c) y (d) 0.2
c
Let n = 0.39 - -0.01. Let f = n - -1.6. Let t = -3.05 - -3. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
)?
2
Let t(b) = 6*b - 44. Let f be t(8). What is the units digit of (-1)/(f - (16740/(-1045))/(-4))?
9
Let j = -321 - 126. What is the tens digit of (8/(-14))/((-192)/(-224))*j?
9
What is the thousands digit of (4/12)/((-30)/(-893340))?
9
Let n = -11452 + 57478. What is the ten thousands digit of n?
4
Let m(d) = -45622*d + 192. What is the hundreds digit of m(-1)?
8
Let u = 117398 + -43270. What is the units digit of u?
8
Suppose 6*j - 1657314 = -135*j. What is the units digit of j?
4
Let b(m) = 2049*m**2 + 12*m - 21. What is the units digit of b(2)?
9
Let x(s) = -13*s**2 - 11*s - 6. Let y(t) = 15*t**2 + 10*t + 8. Let j(b) = 7*x(b) + 6*y(b). What is the units digit of j(-9)?
8
Let z = 25438 - 11555. What is the ten thousands digit of z?
1
Let r be -9*1/(-3) - -2. Let g(l) = 21*l - 17. Let p be g(r). Suppose 4*z - p = 4. What is the units digit of z?
3
Let f(b) = -42*b + 12 - 17 + 13*b. Let o be f(-8). Suppose 5*c - 2*s - o - 53 = 0, -5*s = 2*c - 112. What is the tens digit of c?
5
Suppose 1497*t - 1488*t = 180072. What is the ten thousands digit of t?
2
Suppose -16*g = -g + 4*g - 296438. What is the units digit of g?
2
Let x be ((-2)/18*6)/(2/(-15)). Suppose 501 = p + m, 0*m - 509 = -p - x*m. What is the tens digit of p?
9
Suppose -2417 = -g + 238. What is the units digit of g?
5
Suppose 441*c + 4282089 - 22661205 = 0. What is the tens digit of c?
7
Let z(b) = 1445*b - 1231. What is the units digit of z(7)?
4
Suppose 0 = 4*c - 2*c + 3*p - 16, p + 23 = 5*c. Suppose -c*t = 3*t - 528. What is the units digit of t?
6
Let p(k) = k**2 - 3*k - 14. Let u be p(-3). Let d be 5 + 10*(-2)/u. Suppose -5*g - 4*q + 1011 = d, 4*g - 4*q - q = 776. What is the hundreds digit of g?
1
Let m = -1220 - -13804. What is the ten thousands digit of m?
1
Suppose -50751 = -4*x - t, 0 = x + 863*t - 860*t - 12685. What is the tens digit of x?
8
Suppose -4*p - 12 = -0*y - 4*y, 0 = -4*y - 2*p + 42. Suppose y*n + 485 = 4*i + 9*n, 0 = 3*i + 3*n - 366. What is the units digit of i?
1
Let b be 1 + 132 + 2/(-1). Suppose -4*f + 75 = 5*h, -2*f + 2*h - 65 = -5*f. Let p = b - f. What is the tens digit of p?
0
Let i = -14208 - -24257. What is the units digit of i?
9
Let f = 6016 - -1987. What is the hundreds digit of f?
0
Let r = -50908 + 115993. What is the hundreds digit of r?
0
Suppose 19*f - 6008 = 18*f + 5*g, 4*f + 3*g - 24055 = 0. What is the hundreds digit of f?
0
Let g be (-2 + 6/3)/3. Suppose q = -g*q + 1. Suppose 3*p = 25 - q. What is the units digit of p?
8
What is the tens digit of (1 - -2) + (-3498)/(-2) - 7?
4
Let o = 4276 - 875. Suppose -4*k + o = -3*t + 208, 2*k - 1601 = 3*t. What is the hundreds digit of k?
7
What is the ten thousands digit of ((93 - 52)/41)/((-1)/(-48004))?
4
Suppose 24*n = 20*n + 20. Suppose -2*y - n = -3*j, -3 = 2*j - 3*j + 2*y. What is the units digit of j/(1/(-1 - -30))?
9
Suppose -5*t - 8 = -2*n + 28, -55 = -5*n - 5*t. Suppose 2058 = 20*j - n*j. What is the units digit of j?
4
What is the tens digit of 0 + (-13)/1 - -1897?
8
What is the tens digit of ((-70)/175 + (-11)/(-15))*1113?
7
Let t = -158 - -222. Let c be 0 - 595/(-10) - (-4)/8. Let h = t - c. What is the units digit of h?
4
Suppose 0 = 5*u + 2*w - 68, 0 = -3*u + 2*u + 3*w. Let g = 34 - u. Let q = g - 9. What is the units digit of q?
3
Suppose 5*n - 24 = -9. Suppose 2*b - 3*p = 6*b - 5228, -b + 1292 = -n*p. What is the units digit of b?
4
Let x be -278*22/6*18/(-12). Suppose -6*o + 5525 = x. What is the units digit of o?
6
What is the tens digit of (120778/4)/((-1820)/(-1040))?
5
Suppose -5*c - 5*o + 4 = 19, c + 2*o = -8. Suppose -r - q = 2, -3*r + 19 = -0*r - c*q. Suppose -r*s + 4*s = 91. What is the units digit of s?
1
Suppose -4208010 = -192*g - 31*g. What is the tens digit of g?
7
Suppose 20*j - 487347 + 142073 = -38*j. What is the units digit of j?
3
Let l = -761 - -1193. Suppose 92*m - 96*m = -l. What is the units digit of m?
8
Suppose 0 = 25*i + 9*i - 330854. What is the tens digit of i?
3
Suppose -6*v + 2*q = -v - 640, 5*v - 640 = -q. Suppose -2*p + v + 232 = 0. What is the units digit of p?
0
Let c = 7 + -5. Suppose -5*u - 6 - 96 = c*p, 3*u = 2*p - 58. What is the tens digit of -1 + -35*(128/u - -2)?
5
Let s(c) be the first derivative of 3*c**2 - 26*c + 12. Let h be s(5). Suppose h*t - 9*t = -i - 483, 5*i + 378 = 4*t. What is the tens digit of t?
9
Suppose -s - 4*y + 112 = 0, 2*y = -s + 102 + 12. Let c = s + -217. Let q = 168 + c. What is the tens digit of q?
6
Suppose -2*h = n - 732, -n - 2*h = h - 730. Let j = n - 609. What is the hundreds digit of j?
1
Suppose 0 = -4*h + 4*o, 24 = -h + 2*h + 5*o. Suppose -h*d - 5*g + 1520 = -1176, 0 = 3*d - 2*g - 2045. What is the units digit of d?
9
Suppose -2*s + 108*s - 2599444 = -10*s. What is the thousands digit of s?
2
Let j(t) = -8 - 101*t - 2*t**2 - 92*t + 3*t**2 + 191*t. What is the hundreds digit of j(16)?
2
Let y = -23 - -25. Let u(f) = -90*f + 7*f**y - f**3 + 2*f**2 - 7 + 83*f. What is the tens digit of u(6)?
5
Let f = 365 - 342. What is the units digit of (-6582)/(-8) + (6 - f/4)?
3
Let b = 117 - 113. What is the tens digit of (18/b)/((-33)/(-2156))?
9
Let q(x) = x + 1. Let d be q(1). Suppose -286 = -2*o - 2*m, -6*o + o = d*m - 718. Suppose -23*h = -25*h + o. What is the tens digit of h?
7
Let i(u) be the first derivative of u**6/90 - u**5/6 - 13*u**4/24 - 8*u**3/3 + 6. Let t(f) be the third derivative of i(f). What is the tens digit of t(10)?
8
Suppose 18 = w + 6. Suppose w*y + 1536 = 15*y. Suppose -2*t + 10*t = y. What is the units digit of t?
4
Let o(n) = -n**2 + 20*n - 93. Let x be o(14). What is the hundreds digit of (-1681)/x - 72/(-324)?
1
Let h(v) = -24*v - 71. Let y = 36 - 51. What is the hundreds digit of h(y)?
2
Let s(l) = 169*l + 107. Let j be s(-11). Let r = j + 2921. What is the thousands digit of r?
1
Let j be 10 - (-1 + 4) - 4. Suppose 3*x - 1266 = -j*m - 0*m, 1262 = 3*x + 5*m. What is the tens digit of x?
2
Let r(x) = -2*x**3 + 18*x**2 + x - 11. Let s be r(9). What is the units digit of 3220/(-98)*7*s?
0
Suppose -8*h + 2007 = -1657. What is the hundreds digit of h?
4
Let l be 6 - (281/5)/(6/30). Let q = -43 - l. What is the units digit of q?
2
What is the thousands digit of 6/(6/29608*-2*(-216)/486)?
3
Let o = -5291 - -11397. What is the hundreds digit of o?
1
Let v be -2*6/54 + (-25)/9. What is the units digit of (1 + v)/(32/(-1152))?
2
Let t(o) = 21539*o + 3936. What is the hundreds digit of t(1)?
4
Let n be (40/8)/(-5) - 16. Let k = 590 - n. What is the units digit of k?
7
Let a(o) = o**3 - 67*o**2 + 33*o + 466. What is the tens digit of a(67)?
7
Suppose -3*k - 20 = -4*n, -2*n = -6*n + 5*k + 28. Suppose -4*j - 9*l + 8*l = -366, -n*l + 186 = 2*j. What is the units digit of j?
1
Suppose 47892 = 15*v - 12*v. Suppose 0 = -f - 25*f + v. What is the hundreds digit of f?
6
Let o(u) = 320 + 3*u**2 - u**2 - u**2 - 9*u - 283. What is the tens digit of o(19)?
2
Suppose -4*w + 429033 = 5*h, 0 = 3*w - 9*w - 48. What is the thousands digit of h?
5
What is the tens digit of 15/(-285) + (-315174)/(-38)?
9
Let w be (-9)/(-36) - 249/4. Let q be -1 - (1 + (w - -3)). Let y = 116 - q. What is the units digit of y?
9
Let i be 6/21 - (4 - (-466)/14). Let b = i - -89. Suppose -36 = 2*a - b. What is the units digit of a?
8
Let y(a) = a**3 + 8*a**2 - 7*a - 1. Let p = -212 + 297. Suppose 2*b + p = 75. What is the tens digit of y(b)?
0
Let q(z) = z**2 - 34*z - 67. Let l be q(36). Let w = 5 + -3. Suppose w*s + g - 438 = l*g, 2*g + 8 = 0. What is the units digit of s?
1
Let c = 5856 + -1896. Suppose -8*h - 2*h = -c. What is the hundreds digit of h?
3
Suppose -666 = -4*x - 3*m, -4*x - 5*m + 198 + 464 = 0. Suppose -6*i + 10*i = x. Let z = i + 98. What is the hundreds digit of z?
1
Let n(o) = -2792*o + 2142. What is the thousands digit of n(-20)?
7
Suppose 5*a - 15 = -z - 0, 5*z - 31 = -3*a. Suppose -66 = -h + z*t + 27, 4 = 2*t. Suppose 73 + h = 8*n. What is the units digit of n?
2
Suppose -5936 = -s + 783 + 219. What is the thousands digit of s?
6
Suppose -42714 = -33*c + 6*c. What is the hundreds digit of (c/(-7))/(-2) - -9?
1
Let b be 5 - 19*1/1. Let v(m) = 6*m**2 + 27*m - 49. What is the units digit of v(b)?
9
Suppose 3432 = -13*j + 17*j. Let l = -595 + j. What is the hundreds digit of l?
2
Suppose 7*v = 9*v - 148. Let n be 1/(-2)*1
|
{
"pile_set_name": "DM Mathematics"
}
|
e the remainder when 451 is divided by (186/(-9))/((-186)/837).
79
Let b = 8 + -10. Let s be (-408)/(-6) + -2 + b. Calculate the remainder when (-91)/(-4) + 16/s is divided by 12.
11
Let o = 416 - 406. Suppose -5 = 4*x - 33. Calculate the remainder when -6*(-8)/(32/o) is divided by x.
1
Suppose -36*c + 178 = -110. What is the remainder when (c/16)/((28/432)/7) is divided by 3?
0
Let k(m) = m + 23. Let h be k(8). Suppose -623 + 127 = -h*f. What is the remainder when f is divided by 8?
0
Let k be (2 + -2)/(1*(-2)/1). Suppose 5*o - 174 = 5*s - 29, -4*s + 4 = k. What is the remainder when o is divided by -2 - (-1 + (-12 - 0))?
8
Let j = -356 - -625. Suppose 2*v + 90 = -12*f + 15*f, -5*f + 152 = -3*v. Calculate the remainder when j is divided by f.
31
Let z(d) = 8*d - 20. Let q be z(8). Calculate the remainder when (4*q/(-24))/((-6)/9) is divided by 1 - (-2)/(-1)*-2.
1
What is the remainder when (4/14 - 21641/(-35))*(11 - 6) is divided by 91?
90
Let y = 1566 - 1534. What is the remainder when 985 is divided by y?
25
Suppose -385 = -4*r - 5*n, -n = -23 + 26. What is the remainder when 299 is divided by r?
99
Let s(i) = 11*i + 162. Let m(b) = -35*b + 267. Let d be m(8). What is the remainder when (74/(-5))/(1/(-5)) is divided by s(d)?
17
Let v be (-2)/(-6) - (-1)/(-3). Suppose i - 6 + 0 = v. Calculate the remainder when (6/(-2))/(2/(-6)) is divided by i.
3
Let n = 1286 - 1. Calculate the remainder when n is divided by 18.
7
Let r = -140 - -244. Suppose 64*o + 66 = 70*o - i, -3*o + 3*i + 18 = 0. What is the remainder when r is divided by o?
8
Let y(u) = -u**2 - 16*u - 22. Let t be y(-14). Suppose 0 = -5*i - 3*o + 94, -4*i + o = -71 + t. What is the remainder when 80 is divided by i?
12
Let a(l) = -l**3 - 15*l**2 - 32*l - 31. Let h be a(-13). Suppose -h - 21 = -y. What is the remainder when y is divided by 42?
26
Let q = 2407 - 2350. What is the remainder when q is divided by 41?
16
Let t = 39581 - 38840. Calculate the remainder when t is divided by 7.
6
Suppose 0 = -2*u - 3*u - 3*z + 759, 285 = 2*u - 5*z. What is the remainder when u is divided by ((-10)/(-80)*8)/(1/19)?
17
Let w be 6/(1 - 467/94 - -4). Suppose -2*l = -2*g + 104, -5*l + w = 14*g - 11*g. What is the remainder when g is divided by 20?
16
Suppose -2*x = -44 + 10. Suppose 25*b - 1782 = 7*b. Suppose 7*c - 111 = b. What is the remainder when c is divided by x?
13
Let x(r) = 29*r**2 - 2*r + 2. Calculate the remainder when x(2) is divided by ((-174)/(-21))/((-50)/(-175)).
27
Let h(w) = -w**2 + 6*w + 5. Let i = -106 - -112. What is the remainder when (3/(27/i))/((-25)/(-1350)) is divided by h(5)?
6
Suppose y - 4*y + 3*h - 54 = 0, 3*y + 46 = 5*h. Calculate the remainder when 23 is divided by ((-194)/22 - -9) + (-282)/y.
10
Let l = -7 - -25. Suppose 1 = 2*z - 3. Suppose 2*k - z*y - 212 = -k, 5*y = -5. What is the remainder when k is divided by l?
16
Suppose 3*v - 273*b = -269*b + 109, -5*v + 114 = 3*b. What is the remainder when v is divided by 19 + -1 - 4/4?
10
Let s = 6664 - 6661. What is the remainder when 2720 is divided by s?
2
Let x = 679 - 675. Suppose -2*l = -5*l + 123. What is the remainder when l is divided by x?
1
Let g be -4*((-45)/6 - -7). Suppose -g*o = a - 215 + 76, -3*o + 2*a + 226 = 0. Calculate the remainder when o is divided by 29.
14
Let h(g) = g**3 - 2*g**2 - 1. Let s(a) = -2*a**3 + 17*a**2 - 16*a + 9. Let d(o) = 4*h(o) + s(o). What is the remainder when d(4) is divided by 72?
69
Let u(z) = 17*z**2 - 86*z + 618. What is the remainder when u(9) is divided by 24?
21
Let x be 24/21 + 4/(-28). Suppose -3 + x = -l. Suppose -l*n = -3*h + 75 - 21, 72 = 4*h - 4*n. What is the remainder when h is divided by 7?
4
Let y = 196025 - 195989. Let j = 21 + 48. What is the remainder when j is divided by y?
33
Let a = -331 + -29. Let j = -272 - a. Suppose 2*p - 40 = 8. Calculate the remainder when j is divided by p.
16
Suppose -16*g - 939 = -20*g - f, 453 = 2*g - 5*f. What is the remainder when 260 is divided by g?
26
Let k(j) = j**3 + 7*j**2 + 4*j - 13. Let u be ((-4)/(-2) - 7) + -1. Let c be k(u). Calculate the remainder when 3 + (3 + -2)/c + 12 is divided by 7.
0
What is the remainder when 1 + 14/(-12) + (-252590)/(-804) is divided by 49?
20
Let n(f) = 47*f - 1893. Suppose -4*c + i + 28 = 3, -4*c + 16 = -4*i. Calculate the remainder when n(41) is divided by c.
6
Let o(j) be the third derivative of -j**5/15 + j**4/12 + 499*j**3/3 - 96*j**2 + 1. Calculate the remainder when o(0) is divided by 25.
23
Let n(b) = -11*b - 2. Let w be n(-1). Suppose 45 = 3*s - 3*v, -1 + w = -2*v. Calculate the remainder when 87 is divided by s.
10
Suppose -4976 - 329 = -218*u + 8647. Suppose -144 = -4*b - 0*y + 3*y, 2*y - 203 = -5*b. Calculate the remainder when u is divided by b.
25
Let t(f) = -f**3 - 11*f**2 - 56*f - 52. What is the remainder when t(-10) is divided by 65?
18
Suppose -4*g - 2*i - 14 = 0, 16 = 4*g - 6*g - 4*i. Let v = 33 + 25. What is the remainder when v is divided by -3 + (4 + -7)*g + 7?
8
Suppose k + s = 34, -k = -3*s - 68 + 42. Calculate the remainder when 356 is divided by k.
4
Let c(v) = -65*v + 346. What is the remainder when c(-14) is divided by 42?
38
Suppose -24*m = -40*m - 74*m + 3330. Calculate the remainder when 2569 is divided by m.
16
Let j = -417 - -450. Let f(h) = -9*h. Let r(b) = -28*b - 1. Let y(s) = 7*f(s) - 2*r(s). What is the remainder when j is divided by y(-1)?
6
Suppose 5*w + 740 = 5*x, 0 = 37*x - 32*x + w - 734. Calculate the remainder when 586 is divided by x.
145
Suppose -4563 + 574 - 1186 = -69*h. Suppose 0 = -y + 17. What is the remainder when h is divided by y?
7
Suppose 0 = 4*a - w - 38, -188*w + 12 = 2*a - 192*w. Calculate the remainder when 3*(28 + -2 + 3) is divided by a.
7
Let j(g) = 4*g + 47. Let t be j(-11). Suppose 3*w + t = 0, 5*s - s + 5*w - 43 = 0. What is the remainder when 30 is divided by s?
6
Let w(a) = -a + 17. Let s be w(-5). Let g = 28 + s. Let p = g - 44. Calculate the remainder when 6 is divided by p.
0
Let y = 26 - -9. Let s(h) be the second derivative of 3*h**4/4 - 2*h**3/3 - 12*h**2 - 83*h - 1. What is the remainder when s(4) is divided by y?
34
Let v = 33364 - 31047. What is the remainder when v is divided by 79?
26
Let t = 172 + -93. Calculate the remainder when t is divided by (-174)/319*(17 + -50).
7
Suppose -628*c - 761498 = -662*c. What is the remainder when c is divided by 131?
127
Let d(a) = -12*a**2 - 16*a**2 - 6 + 7*a + 29*a**2. Let v be d(4). Suppose -3*u + 13 + v = 0. Calculate the remainder when 101 is divided by u.
16
Suppose t - 3*g - 41 = 0, -5*t + g + 83 = -192. Suppose 5*w = 5*v + 80, -5*v + 0*w - t = 3*w. Let l = 0 - v. What is the remainder when 48 is divided by l?
9
Suppose -5*j + 3*j + 6864 = 3*v, 0 = -j - v + 3434. Calculate the remainder when j is divided by 172.
170
Let p be -34*-1*1 - 1. Calculate the remainder when (p + (-2)/2)*1 is divided by -8 + ((-64 - -37) + 43 - (1 + 0)).
4
Let n(w) = 49 + 321*w - 5 - 328*w. What is the remainder when n(-5) is divided by 28?
23
Let p = 1626 + -1625. Suppose 3*h - 69 = -0*h - k, -4*k = -12. Calculate the remainder when 79 is divided by -20 + 18 + p*h.
19
Suppose -2*k = -3*j + 28, 3*j + 0*j + k = 22. Suppose -3*b = -4*g + 144, 5*g + j*b = 10*b + 187. Calculate the remainder when 78 is divided by g.
0
Let l(r) = 49*r - 2. Let h be l(8). Suppose -171 = -3*g + h. Suppose 5*c + 5*j = -114 + 569, 2*c = -j + g. What is the remainder when c is divided by 49?
47
Suppose 12*i - 16*i - 2*g + 236 = 0, -i = -4*g - 50. What is the remainder when i is divided by 12?
10
What is the remainder when (1474/(-121))/((-1)/(-22)*-2) is divided by 16?
6
Let f(b) = 4*b**3 - 80*b**2 - 48*b + 160. Calculate the remainder when f(21) is divided by 185.
176
Suppose -33*y - 31*y + 4473 = -y. What is the remainder when 302 is divided by y?
18
Suppose 0 = -3*j + 3*p + 1683, 15 - 14 = -p. Suppose 56 = -8*n + j. What is the remainder when 110 is divided by n?
47
Let m = 475 + -457. Suppose 14*k = m*k - 16, -3*k = -4*s + 44. What is the remainder when s is divided by 14?
0
Suppose 2 = 5*c - 3. What is the remainder when (3/(-5))/(6 - (-1955)/(-325)) is divided by 1 + 23 - (2 + c)?
18
Suppose -3*q + 228 = 2*a, -5*a + 126*q + 627 = 124*q. Calculate the remainder when 1963 is divided by a.
118
Let c(j) = -4*j**3
|
{
"pile_set_name": "DM Mathematics"
}
|
i)*(3 - 5 + 0) + 0*i + 2*i - i + 4 + i - 4 as k*i + q and give k.
-107
Express 233*j - 32947 + 32947 as i*j + t and give i.
233
Rearrange -17*a**3 + 45*a**2 + 81 - 48*a**2 - 90 + (-3*a + a**2 + 3*a)*(2*a - 2*a + a) to the form i*a**2 + r + o*a + l*a**3 and give r.
-9
Express 267 + 5*b - b**3 - 3*b**4 - 130 - 135 in the form f*b**4 + t*b**2 + p + a*b + z*b**3 and give p.
2
Rearrange (2*b + b - 2*b)*(-712 + 22 - 149 + 96)*(1 + 0 - 4) to the form l*b + c and give l.
2229
Express (3 - 2 + 6)*(-4 + 5 - 4)*(-2*m + 4*m + m) + 0*m - 2*m + m in the form z*m + p and give p.
0
Rearrange 42*m**2 - m**3 + 2*m**4 - 3 - 68*m**2 + 27*m**2 - 11*m to b*m**2 + o*m + y*m**4 + i*m**3 + p and give i.
-1
Express 2856 - 2857 + 9*v**3 + 26*v**3 - 2*v**2 in the form a*v**3 + s*v + w*v**2 + o and give a.
35
Express 3*z**3 + 9*z**2 - 4*z**3 - 95*z - 22*z**2 + 5*z**2 + 9*z**2 - 3*z**4 in the form b*z**3 + i*z**4 + l + r*z + o*z**2 and give r.
-95
Rearrange (8 + 462*h - 911*h + 465*h)*(3*h**2 + 38*h - 5*h**2 - 41*h) to the form k*h + z + f*h**2 + n*h**3 and give f.
-64
Express (1 - 3 + 4)*(22*g - 42*g - 39*g) + 0*g - 8*g + 4*g as b*g + l and give b.
-122
Express (5*z + 5*z - 4 - 3*z)*(-1 + 1 + 1 - z) as q*z + g*z**2 + x and give g.
-7
Express 228*q**2 - 1 + 168*q + 164*q + 0*q**3 - 332*q + 3*q**3 as m*q**2 + z*q**3 + h*q + k and give z.
3
Rearrange -11*r + 8*r**3 + 4*r**3 + 0*r**3 - r**3 to h*r**2 + y*r + u + x*r**3 and give y.
-11
Express -133*a + 41*a + 42 + 49*a + 41*a + 49 as p + x*a and give p.
91
Express (-3*m**2 + m**2 + 4*m**2)*(-56 + 24 - 2*m + 1422) as i*m**3 + z + o*m + c*m**2 and give i.
-4
Rearrange (3*o**2 - 4*o**2 - o**2)*(42 + 61 + 72) to the form a + t*o + r*o**2 and give r.
-350
Rearrange (a + 0*a - 3*a + (0 + a + 0)*(-2 - 3 + 4) - a - 3*a + 3*a)*(19 + 15 - 40)*(21 - 4 - 8) to the form z + d*a and give d.
216
Express -909*h**2 - 905*h**2 + 2*h**3 - 9 + 1815*h**2 - 2*h in the form r*h**2 + w*h + y + i*h**3 and give y.
-9
Express 10*y**2 + 4*y - 8*y + 1 - 3*y**3 + 10*y**2 + 0 - 17*y**2 as a*y**2 + l + b*y + d*y**3 and give a.
3
Express (1204*f + f**2 - 1191*f - 3*f**2)*(-28*f**2 - 30 + 30) as d*f**3 + s*f**4 + l + q*f + t*f**2 and give s.
56
Rearrange a + 0*a - 3*a + (-2*a + 5*a - a)*(-3 + 3 - 2) + a - 1 + 1 + a - 1 + 1 - 12526*a + 264 + 6260*a + 6256*a to the form h + p*a and give p.
-14
Express -x - 21*x**2 + 51*x**2 - 4 - 26*x**2 in the form a*x + g + c*x**2 and give g.
-4
Rearrange (-n - 2*n + 7*n)*(1 + 0 + 0) - 27*n - 18168 + 18168 to y + b*n and give b.
-23
Rearrange (0*x + x - 4*x - 57*x + 17*x - 43*x + (-4 - 1 + 3)*(-5*x + 4*x + 3*x))*(0*x**2 + 5*x + x**2 - 3*x) to the form i*x + c*x**2 + g*x**3 + d and give d.
0
Express (3 - 9953*j + 10538*j + 0)*(0 + 0 - 2)*(1 - 1 + 2) as b + w*j and give w.
-2340
Express 54782 - 2*v**2 - 418*v - 54782 + v**2 in the form r + i*v + m*v**2 and give m.
-1
Express (-7 - 8 + 4)*(38*i - 13*i + 56*i) as l*i + a and give l.
-891
Rearrange 15*j**3 - 4*j**2 - 7*j**3 + 15*j**2 + 27 - 10*j**3 + 0 to the form d + n*j**2 + k*j + c*j**3 and give c.
-2
Rearrange (214 - 1411 - 6049 + 334)*(-2*t + 2*t - 2*t - 1) to the form f + r*t and give f.
6912
Express 14*h**3 + 5*h**3 + 1 - 40*h**2 - 2*h - 26*h**3 + 9*h**3 in the form d*h**2 + r + x*h**3 + a*h and give a.
-2
Express -27*r**2 - 55*r**2 - 20*r**2 + 1 + 6*r**3 - 28*r**2 + 28*r**2 in the form j*r**2 + k*r + p + d*r**3 and give p.
1
Rearrange -5 + 9 - 1 + 369*k - 3 to the form x*k + n and give x.
369
Express -212*l**2 - l**3 + 74 + 212*l**2 + (-2*l**2 + 4*l**2 - 5*l**2)*(-l - 2 + 2) in the form d*l**2 + f*l + k*l**3 + z and give d.
0
Rearrange (37 - 62 - 67 - 44)*(-308*o - 35*o**2 + 308*o)*(2*o + o - 2*o) to l*o**2 + c + n*o**3 + j*o and give n.
4760
Express -2 + 31 - g - g**2 + 23 in the form m + r*g**2 + w*g and give r.
-1
Express 18*s**2 + 2 + 33*s**2 - 36*s**3 + 16*s**2 + 34*s**3 as p + v*s**2 + r*s + a*s**3 and give a.
-2
Express -1274*h - 592651 + 592651 in the form i*h + b and give i.
-1274
Rearrange 482*z**2 + 5 + 11 - 20 + 3 to k + d*z**2 + u*z and give k.
-1
Rearrange (-r**2 + 3*r**2 + 0*r**2)*(-75739*r + 75739*r - 270*r**2) to the form a*r**2 + o*r**4 + s + q*r**3 + y*r and give o.
-540
Express 590*i**3 - 2*i - 3*i**4 + 7*i**2 - 5*i**4 - 9*i**2 - 589*i**3 in the form r*i**2 + o*i**4 + g*i + v + w*i**3 and give o.
-8
Rearrange -6*p + 19 + 1 + 19 - 21 to the form o + s*p and give s.
-6
Rearrange 2*r + 0*r + 2*r + (1 - 4 + 1)*(r + 3*r - 3*r) + (-1 + 3 + 2)*(1 - 1 - 2*r) to t + w*r and give w.
-6
Express (0*k - 2*k + 0*k)*(3 - 3 + k) - 464 + 931 - 467 - 287*k**2 in the form y + a*k**2 + f*k and give a.
-289
Express 1 - 7*y**2 - 1 + 103*y**2 in the form l*y**2 + w + x*y and give l.
96
Express 0*t - 2*t + 76599 - 76596 in the form y + f*t and give y.
3
Rearrange (-1 + 5 - 3)*(-26 + 127 - 38)*(-24 + 24 - 2*t) to h + m*t and give m.
-126
Express -10*w**2 + 5*w**2 - 17*w**2 + 1 - 76*w**2 as o + p*w + z*w**2 and give z.
-98
Express -544*t - 22 + 22 - 225*t in the form y + b*t and give b.
-769
Rearrange (2*u - 4*u + u)*((-5 + 3 + 4)*(-2 + 2 - u) - u + 5*u - 3*u)*(-30 - 102 + 75) to i*u**2 + t + v*u and give i.
-57
Rearrange -126*j**2 + 96*j + j**3 - 2*j**3 - 94*j to the form v + y*j**3 + c*j + s*j**2 and give y.
-1
Express (-20 - 13 + 14)*(6 - 2 - 5)*(4 - 6 - 3*q**2 - q**2) in the form j + f*q + r*q**2 and give f.
0
Express (-146*b - 4307*b - 2345*b + 1714*b)*(-4 + 4 - 2*b) in the form h*b + p + u*b**2 and give p.
0
Rearrange (869 + 1291 - 357)*(-5*i**2 + 5*i**2 - i**3) to s + b*i**2 + p*i**3 + c*i and give p.
-1803
Express -54*r**3 - r**2 - 58*r**3 - 82*r**3 as l + n*r**3 + p*r + o*r**2 and give o.
-1
Express -403*k**4 - 460*k**4 + 763*k**4 + (k + 4 - 4)*(-k**2 - k**3 + k**2) in the form n + j*k + l*k**2 + i*k**4 + p*k**3 and give i.
-101
Rearrange 12*z + 17*z**2 - 13*z - 21*z**2 - 4*z**4 to the form r*z**4 + h*z + d + k*z**3 + f*z**2 and give f.
-4
Express (-i**2 - 2*i**2 + 5*i**2)*(1970*i - 846*i - 151*i + 3492*i + 3551*i) as y*i**3 + h + w*i**2 + v*i and give y.
16032
Express (0*a + 4*a - 2*a)*(-219 - 586 + 1154) in the form r*a + l and give r.
698
Rearrange 5058 - 38*w - 5058 to the form r + p*w and give p.
-38
Express 6 + 401*l - 5 + 146*l - 1 as d*l + r and give d.
547
Rearrange (5 - 2 - 1)*(-17*i + 13*i + 65*i) to the form n + q*i and give q.
122
Express (-5*z + 5*z + z)*(z**2 - 2*z**2 + 3*z**2) - z - z**3 + z + 20*z**3 + z**3 + 25*z**3 in the form j + s*z + p*z**2 + y*z**3 and give y.
47
Rearrange (-971 + 971 - 6*n)*(-3 + 10 + 1) to the form m + s*n and give s.
-48
Express -124 - 48*j**3 - 73*j**3 + 124*j**3 as c + w*j**3 + h*j**2 + f*j and give c.
-124
Rearrange 256*v + 2 - 571*v + 188*v to the form d*v + g and give d.
-127
Rearrange 161*y**4 - 2*y**3 - 1 - 2*y**2 + 3*y - 160*y**4 - 2*y to the form k*y**3 + p + v*y + d*y**4 + q*y**2 and give d.
1
Rearrange ((0*g + g + 0*g)*(3*g - g - g) + 4*g**2 - 5*g**2 + 4*g**2)*((5 + 3 - 6)*(0 + 4 - 5) - 4 + 3 + 2) to the form z*g**2 + l*g + p and give z.
-4
Express (0*i + 4*i - 3*i)*(0 + 1 + 2) + (-4*i + 5 + 19*i - 10*i)*(0 + 20 + 18) in the form h*i + y and give y.
190
Rearrange (1 - 5 + 2)*(-5 - 10 - 3)*(8*i - 7*i - 10*i)*(0 - 6 + 4) to the form a + q*i and give q.
648
Express (11*l**2 + 8*l**3 - 11*l**2)*((-1 + 2*l + 1)*(2 - 1 - 2) - 17 + l + 12 + 4*l) as i*l**3 + b*l**2 + k*l + p*l**4 + u and give i.
-40
Rearrange 185*b - 105*b - 78*b - 225 - 214 to f + o*b and give f.
-439
Rearrange 2*s - 4*s**2 + 2*s**2 + 9*s + 2*s**2 + 2*s**4 - 2 - s**3 to m + t*s**4 + p*s + f*s**2 + u*s**3 and give p.
11
Rearrange (34*f**4 - 6 - 63*f**4 + 36*f**4)*(25 + 36 - 88) to z*f**2 + a*f**4 + i + k*f + o*f**3 and give i.
162
Express (-3 - 8 - 1 - 3 - 1 + 5 + 1 + 1 - 3 + (3 - 1 - 4)*(-3 + 3 - 2))*(4*p + 4*p - 3*p) as b + r*p and give r.
-40
Rearrange -454*i - 14442 + 14442 to l + s*i and give s.
-454
Rearrange 195*d**4 - 100*d**4 - 2*d**2 - 2*d**2 - 92*d**4 + 1 to v*d**3 + z + n*d**2 + f*d**4 + c*d and give c.
0
Express -444 + 119 + 129 - 20*r**3 + 150 as d*r**2 + g*r**3 + h*r + i and give i.
-46
Express -226 + 53 + 1474*h + 173 as p + k*h and give k.
1474
Express -7*y - 47*y + 10*y + 2*y + 6*y - y - y - 3*y + 5*y + (-2 + 4 - 3)*(-1 + 1 - y) + 3*y + y - 2*y as s*y + g and give s.
-33
Express (-135 + 1078 + 2769)*(3*a**2 - 4*a**2 + 2*a**2)*(2*a - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2. Let w(c) = -888*c. What is p(w(j))?
-17347968*j**2 - 2
Let b(t) be the second derivative of t**4/6 - 26*t. Let s(m) = 11*m**2 + 2*m. Determine s(b(g)).
44*g**4 + 4*g**2
Let s(a) = 2*a**2 + 3*a + 3561. Let l(v) = -v. Calculate l(s(n)).
-2*n**2 - 3*n - 3561
Let z(l) = 3*l + 1 - 1 - 2*l. Let o(v) = 527*v + 51. Let y(b) = -21*b - 2. Let w(t) = 2*o(t) + 51*y(t). Give z(w(g)).
-17*g
Let t(v) = 2*v**2. Let c(l) be the third derivative of -1373*l**4/24 + l**2 + 68. Give c(t(s)).
-2746*s**2
Let x(t) = -46*t. Let n(y) = 44*y. Let f(g) = -3*n(g) - 4*x(g). Let u(i) = -9*i**2. Give f(u(s)).
-468*s**2
Let q(h) = 555*h - 217*h - 285*h. Let f(x) = 4*x. What is q(f(d))?
212*d
Let g(s) be the first derivative of -3/2*s**2 + 0*s + 47. Let v(z) = -36*z**2. Determine g(v(j)).
108*j**2
Let v(w) = -48397*w**2. Let u(g) = 2*g. Calculate v(u(n)).
-193588*n**2
Let g(x) = -9*x + 3 - 3 + 7*x. Let k(p) = 16*p + 8*p - 12*p. Give k(g(w)).
-24*w
Let j(u) = -19*u - 351. Let x(t) = -3*t - 54. Let p(g) = 6*j(g) - 39*x(g). Let c(b) = 0 - 12*b + 0. Calculate c(p(i)).
-36*i
Let u(a) = 9*a + 121. Let o(j) = -4*j. Give o(u(v)).
-36*v - 484
Let j(q) = 2*q**2. Let o(p) be the second derivative of p**3/3 - 61*p**2 + 494*p. What is o(j(r))?
4*r**2 - 122
Let o(y) = 13*y. Let c(b) be the second derivative of -1/12*b**4 + 56*b + 0*b**2 + 0*b**3 + 0. Give c(o(p)).
-169*p**2
Let o(i) be the first derivative of i**2/2 + i - 14. Let f(a) = 7*a**2 + 6*a + 6. Let t(q) = -f(q) + 6*o(q). Let p(r) = 4*r. What is t(p(c))?
-112*c**2
Let r(y) be the second derivative of -y**5/30 - 2*y**3/3 + 12*y. Let x(k) be the second derivative of r(k). Let h(d) = -8*d**2. Give h(x(t)).
-128*t**2
Let d(x) = -4*x**2 + x - 1. Let s(t) = -21*t**2 + 3*t - 4. Let a(f) = 4*d(f) - s(f). Let b(g) = g**2. Determine a(b(h)).
5*h**4 + h**2
Let l(x) = -x. Let a(j) = j + 127552. What is l(a(c))?
-c - 127552
Let z(b) be the first derivative of -6*b**3 + 888. Let n(g) = 2 + 1 - 3 + g**2. What is z(n(u))?
-18*u**4
Let q(l) = -l. Let p(b) = -39*b**2 - 290*b. Calculate q(p(d)).
39*d**2 + 290*d
Let q(u) = -u. Let y(j) = -j**2 + 10*j + 4. Let x be y(10). Suppose 0 = -3*m + 2*w + 2, 4*w = x*m - 0*w. Let l(r) = 18*r**2 + r**2 - 5*r**m. Calculate q(l(g)).
-14*g**2
Let m(k) be the second derivative of k**3 + 3*k. Let w(j) be the second derivative of j**4/12 - 15*j. Give m(w(y)).
6*y**2
Let z(q) = 2*q. Suppose 7 = -2*j + 21. Let r(m) = -15 + 5 + 1 + j - 54*m. Determine r(z(o)).
-108*o - 2
Let m(j) = -320 + 15*j**2 + 320. Let y(c) = 4*c. What is y(m(h))?
60*h**2
Let t(q) = -3*q. Let y be t(-1). Let c(u) = y*u + 2*u - 4*u. Let l(r) be the second derivative of 7*r**4/12 + 517*r. Calculate c(l(f)).
7*f**2
Let o(d) = -8*d. Let w = 75 - 73. Let q(b) = 2*b**2 + 6*b**2 - 8*b**2 - 5*b**w. Give o(q(x)).
40*x**2
Suppose 3*t - l - 9 = 0, 4*t + 13 = 3*t - 5*l. Let x(i) be the first derivative of 0*i**t + 1/3*i**3 + 0*i + 4. Let p(v) = 7*v. Calculate p(x(g)).
7*g**2
Let s(m) = -8*m**2 - 13*m - 13*m + 26*m. Let u(f) be the third derivative of -f**4/12 - 28*f**2. Calculate u(s(b)).
16*b**2
Let q(d) = 7*d**2 + 4*d. Let p(g) = 15*g**2 + 9*g. Let y(k) = -4*p(k) + 9*q(k). Let o(n) = 11*n**2. Calculate y(o(c)).
363*c**4
Let k(w) be the second derivative of -w**3/3 - 2*w + 83. Let u(z) = 9*z + 12. Determine u(k(n)).
-18*n + 12
Let y(v) = -758*v. Let g(c) = -185*c**2 - 1. Calculate g(y(b)).
-106294340*b**2 - 1
Let h(u) = 5*u**2. Let j(z) be the second derivative of 7*z**3/3 + 484*z. Calculate h(j(i)).
980*i**2
Let p(d) = -2*d. Let m(w) = -323*w**2 - 3*w. Let x(j) = 141799*j**2 + 1316*j. Let z(f) = -1316*m(f) - 3*x(f). What is z(p(l))?
-1316*l**2
Let h be 1 + 12 - (-12 + 12). Let j(g) = 13*g - h*g + 3*g. Let k(w) = 8*w**2. Give j(k(q)).
24*q**2
Let t(d) be the second derivative of d**6/360 - 3*d**3 - 22*d. Let h(r) be the second derivative of t(r). Let o(j) = 4*j. Give o(h(l)).
4*l**2
Let x(b) = 6*b - 1. Let l(w) = -2*w + 2*w - 4*w + 3*w. Determine x(l(u)).
-6*u - 1
Let u(v) = -4*v**2 + 2*v**2 + 3*v**2 - 3*v**2. Let f(o) = -o - 1. Let d(c) = -8*c - 10. Let h = 1 + 1. Let r(n) = h*d(n) - 20*f(n). Give r(u(p)).
-8*p**2
Let r(p) = 56632*p. Let g(t) = 3*t. Determine g(r(y)).
169896*y
Let q(n) = -19*n**2. Let b(p) = 7*p**2. Let g(y) = 8*b(y) + 3*q(y). Let c(j) = j + 1. What is c(g(a))?
-a**2 + 1
Let o(q) = -q - 26. Suppose 0 = -3*r - p + 5, 0*r = 5*r + 4*p - 20. Let g(j) = j + j + 0*j + r*j. Determine g(o(a)).
-2*a - 52
Let g(t) = -8*t + 18. Let j(s) = 9*s - 21. Let r(f) = -7*g(f) - 6*j(f). Let b(h) = -15*h. Give r(b(m)).
-30*m
Let g(u) = -14 + 4 + 7 - 10*u + 7. Let d(f) = 9*f - 3. Let o(h) = 4*d(h) + 3*g(h). Let n(t) = t**2. Determine n(o(c)).
36*c**2
Let m(o) = -o. Let q(r) be the first derivative of r**2/2 + 2*r - 605. Calculate q(m(l)).
-l + 2
Let d(r) = -3*r. Let p(n) be the second derivative of -1/3*n**4 + 0*n**3 + 0*n**2 - 11*n + 0. Calculate d(p(c)).
12*c**2
Let y(t) = 3*t - 18. Let a(r) = 438*r**2 - r. Calculate a(y(p)).
3942*p**2 - 47307*p + 141930
Let x = -105 + 101. Let l(q) = 2*q**2 + 8. Let i(t) = 5*t**2 + 22. Let m(w) = x*i(w) + 11*l(w). Let p(u) = 3 + 36*u - 3. What is p(m(h))?
72*h**2
Suppose 0*m = -2*m - 10. Let b be 1 + 1 + m + 7. Let s(z) = 9*z - z - z + b*z. Let x(o) = -2*o**2. What is x(s(p))?
-242*p**2
Let a(z) = 5*z. Let r(t) = -t**2 - 5067*t. Calculate a(r(u)).
-5*u**2 - 25335*u
Let t(g) = 5*g**2. Let d(b) = 37*b - 42. Let f(l) = -37*l + 49. Let n(y) = 7*d(y) + 6*f(y). What is n(t(m))?
185*m**2
Suppose -l + 9 = -2*q, -3*l - 4*q + 4 = -13. Let r(y) = 10*y - 4*y - l*y. Let t(a) = -2*a - 3*a + 4*a. Give t(r(w)).
w
Let w(z) = 13*z. Let a(g) = 26 - 6*g**2 - 26 - g**2. Determine a(w(b)).
-1183*b**2
Let k(r) = 334*r**2 - 333*r**2 + 2 - 2. Let p(l) be the first derivative of 3*l**2/2 - 3. Calculate p(k(t)).
3*t**2
Let i(k) = -32*k. Let f(n) = -17943*n. Give i(f(z)).
574176*z
Let r(p) = -3086*p**2 - 3083*p**2 + 6171*p**2. Let s(y) = 3*y + 2. Let k be s(3). Let h(v) = 2*v - k*v**2 - 2*v. Give r(h(c)).
242*c**4
Let o(i) = -1233*i**2 + 406*i**2 + 413*i**2 + 406*i**2. Let s(h) = 1. Let k(j) = -4*j**2 + 10. Let u(p) = k(p) - 10*s(p). Calculate o(u(x)).
-128*x**4
Let g(z) = -z - 1. Let f(a) = -3*a - 6. Let w(v) = -f(v) + 6*g(v). Let s(i) = 13*i - 72. Let p(y) = 2*y - 12. Let h(l) = 6*p(l) - s(l). What is w(h(u))?
3*u
Let q(i) = -27*i**2. Let y = 11 + -16. Let u(l) = 11*l**2. Let n(j) = y*q(j) - 12*u(j). Let p(h) = -3*h**2. What is p(n(d))?
-27*d**4
Let z(t) = t**2. Let u(b) = 129904*b. Give z(u(v)).
16875049216*v**2
Let x(b) = -2*b. Let n(j) be the third derivative of j**5/10 - 13*j**4/24 - 27*j**2. Determine x(n(p)).
-12*p**2 + 26*p
Let u(t) = -t. Let d(o) = -o + 3654. What is d(u(n))?
n + 3654
Let w(y) = -2*y. Let b be (-32)/(-6) - (-20)/30. Suppose -4*z - 3*i + 5 = 0, 6*z - 5*i - 11 = 3*z. Let d(c) = -b*c**2 + 0*c**2 - z*c**2. Determine w(d(g)).
16*g**2
Let p(n) = -90*n + 14. Let h(i) = i. What is h(p(d))?
-90*d + 14
Let m(c) be the second derivative of -5*c**4/12 - 6*c + 10. Let a(n) = -15*n**2. Calculate a(m(o)).
-375*o**4
Let s(w) = -50*w**2. Let p(k) = 1910*k**2. Give p(s(q)).
4775000*q**4
Let i(h) be the third derivative of -h**4/3 + h**2 + 104. Let l(g) = g**2 - 26. Calculate l(i(r)).
64*r**2 - 26
Let s(a) = 18426*a. Let l(i) = -112*i**2. Determine l(s(r)).
-38025957312*r**2
Let s(h) = -7*h. Let p(i) be the second derivative of -i**4/4 - 22*i. Let b(k) = -2*k**2. Let t(v) = 6*b(v) - 5*p(v). Calculate t(s(d)).
147*d**2
Let a(q) = 8*q**2. Let t(g) = -5459*g**2. Calculate a(t(h)).
238405448*h**4
Let y(i) be the first derivative of -5*i**2 + 9548. Let z(s) = 2*s - 3. Let u(p) = 9*p - 13. Let l(d) = -6*u(d) + 26*z(d). Give l(y(v)).
20*v
Let y = -13 - -15. Let i(j) = -7*j**y - 7 + 6 + 6. Let v(o) = 4*o**2 - 3. Let a(w) = 6*i(w) + 10*v(w). Let d(k) = 6*k**2. Give a(d(r)).
-72*r**4
Let z(q) = -3*q + 31. Let t(u) = -14*u - 11*u + 52*u - 12*u - 12*u. Give z(t(c)).
-9*c + 31
Let g(z) = 6*z - 1 - 2*z - 5*z + 2. Let h(n) = -6*n + 8. Let i(r) = 24*g(r) - 3*h(r). Let l(o) = o - 3*o**2 + o**2 - o. Give i(l(p)).
12*p**2
Let j(s) = -3*s**2. Let c = 606 - 14531/24. Let o(h) be the third derivative of 0*h**3 + 15*h**2 + 0 - c*h**4 + 0*h. Determine j(o(m)).
-507*m**2
Let n(s) = 3*s. Let i(f) = -319384*f. What is n(i(z))?
-958152*z
Let m(z) = -1642737*z + 1642
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when 1618777 is divided by 59?
53
What is the remainder when 223040 is divided by 2505?
95
Calculate the remainder when 1031854 is divided by 61.
39
Calculate the remainder when 1007405 is divided by 4380.
5
Calculate the remainder when 747096 is divided by 121.
42
What is the remainder when 2144887 is divided by 3103?
714
Calculate the remainder when 2842868 is divided by 189524.
8
Calculate the remainder when 5319180 is divided by 646.
16
Calculate the remainder when 6849974 is divided by 153.
11
What is the remainder when 196625542 is divided by 50?
42
What is the remainder when 6304840 is divided by 3359?
3356
Calculate the remainder when 113290 is divided by 11265.
640
What is the remainder when 74315524 is divided by 546?
10
What is the remainder when 443624 is divided by 111?
68
Calculate the remainder when 7264589 is divided by 1210762.
17
Calculate the remainder when 1118570 is divided by 521.
504
What is the remainder when 40379 is divided by 82?
35
What is the remainder when 29359 is divided by 29331?
28
What is the remainder when 204415 is divided by 536?
199
What is the remainder when 19084054 is divided by 181?
138
What is the remainder when 60510 is divided by 648?
246
Calculate the remainder when 11810014 is divided by 216.
214
Calculate the remainder when 359622 is divided by 223.
146
Calculate the remainder when 849053 is divided by 169717.
468
What is the remainder when 62334593 is divided by 304?
1
What is the remainder when 98655 is divided by 39?
24
What is the remainder when 891785 is divided by 264?
257
What is the remainder when 351478 is divided by 8368?
22
Calculate the remainder when 131681 is divided by 774.
101
Calculate the remainder when 243137 is divided by 47758.
4347
What is the remainder when 221448 is divided by 2537?
729
What is the remainder when 8674268 is divided by 138?
2
Calculate the remainder when 1491666 is divided by 547.
544
Calculate the remainder when 459518 is divided by 2128.
1998
Calculate the remainder when 33666779 is divided by 37242.
11
What is the remainder when 37607457 is divided by 6398?
13
Calculate the remainder when 8472 is divided by 8449.
23
What is the remainder when 1143209 is divided by 52?
41
What is the remainder when 115542 is divided by 115517?
25
Calculate the remainder when 62014382 is divided by 783.
782
What is the remainder when 3107536 is divided by 61?
13
Calculate the remainder when 22588 is divided by 3949.
2843
Calculate the remainder when 103645 is divided by 1648.
1469
What is the remainder when 57369 is divided by 1003?
198
What is the remainder when 16864723 is divided by 1686453?
193
What is the remainder when 7155616 is divided by 178?
16
Calculate the remainder when 3182231 is divided by 17.
1
What is the remainder when 139108187 is divided by 407?
64
Calculate the remainder when 14938164 is divided by 786211.
155
Calculate the remainder when 61357 is divided by 3733.
1629
What is the remainder when 601269 is divided by 10415?
7614
What is the remainder when 4070263 is divided by 467?
358
Calculate the remainder when 62460029 is divided by 10.
9
What is the remainder when 397406 is divided by 19866?
86
Calculate the remainder when 18802271 is divided by 14.
5
Calculate the remainder when 4021117 is divided by 174831.
4
What is the remainder when 805123 is divided by 402487?
149
Calculate the remainder when 10011460 is divided by 625715.
20
What is the remainder when 67056 is divided by 21790?
1686
What is the remainder when 5320589 is divided by 4277?
1
What is the remainder when 13960954 is divided by 30751?
0
Calculate the remainder when 174819 is divided by 87333.
153
Calculate the remainder when 1049892 is divided by 1228.
1180
Calculate the remainder when 456964 is divided by 566.
202
Calculate the remainder when 117558 is divided by 609.
21
What is the remainder when 5384 is divided by 4506?
878
What is the remainder when 30401801 is divided by 5909?
5905
What is the remainder when 29607949 is divided by 182?
7
What is the remainder when 2121555073 is divided by 25?
23
Calculate the remainder when 23097 is divided by 7186.
1539
What is the remainder when 267562287 is divided by 1541?
1539
Calculate the remainder when 925299 is divided by 8.
3
Calculate the remainder when 2359871 is divided by 98327.
23
What is the remainder when 1297694 is divided by 648847?
0
What is the remainder when 26087773 is divided by 3814?
13
What is the remainder when 13502517 is divided by 6751253?
11
What is the remainder when 21483804 is divided by 84250?
54
What is the remainder when 433123 is divided by 437?
56
Calculate the remainder when 2816092 is divided by 351991.
164
Calculate the remainder when 1654199 is divided by 1089.
8
What is the remainder when 4273203 is divided by 35610?
3
What is the remainder when 2150027 is divided by 7?
5
What is the remainder when 5447732 is divided by 1361888?
180
Calculate the remainder when 106111 is divided by 49740.
6631
What is the remainder when 1417716 is divided by 708845?
26
Calculate the remainder when 46271628 is divided by 438.
432
What is the remainder when 200640151 is divided by 374?
371
Calculate the remainder when 45703 is divided by 2544.
2455
Calculate the remainder when 167201 is divided by 70.
41
Calculate the remainder when 162468 is divided by 1495.
1008
What is the remainder when 204366 is divided by 1066?
760
Calculate the remainder when 48867 is divided by 23886.
1095
What is the remainder when 171939091 is divided by 12?
7
What is the remainder when 11338552 is divided by 1417315?
32
What is the remainder when 49793628 is divided by 4798?
4782
What is the remainder when 397896 is divided by 19894?
16
Calculate the remainder when 12566900 is divided by 1178.
1174
What is the remainder when 75894678 is divided by 313?
3
Calculate the remainder when 1579862 is divided by 23578.
136
What is the remainder when 66060533 is divided by 3436?
3433
What is the remainder when 60398918 is divided by 119?
111
What is the remainder when 3398594 is divided by 571?
2
What is the remainder when 785715 is divided by 3070?
2865
What is the remainder when 290640 is divided by 29007?
570
Calculate the remainder when 29040282 is divided by 11492.
11490
Calculate the remainder when 11268961 is divided by 536616.
25
Calculate the remainder when 2611950 is divided by 40.
30
Calculate the remainder when 5734277 is divided by 955710.
17
Calculate the remainder when 61685130 is divided by 986.
970
Calculate the remainder when 26160101 is divided by 6540024.
5
What is the remainder when 513686 is divided by 171223?
17
Calculate the remainder when 10553396 is divided by 2925.
2921
What is the remainder when 165130 is divided by 132?
130
What is the remainder when 52678331 is divided by 515?
11
What is the remainder when 2985208 is divided by 455?
408
What is the remainder when 8915459 is divided by 1106?
1099
Calculate the remainder when 18008733 is divided by 63.
57
What is the remainder when 2401301 is divided by 3143?
49
What is the remainder when 4691753 is divided by 938350?
3
Calculate the remainder when 102538 is divided by 3698.
2692
Calculate the remainder when 2915842 is divided by 236.
62
What is the remainder when 41465150 is divided by 4607237?
17
What is the remainder when 3915728 is divided by 2576?
208
What is the remainder when 91172 is divided by 67?
52
Calculate the remainder when 17564 is divided by 2435.
519
What is the remainder when 2432066 is divided by 90076?
14
What is the remainder when 4349405 is divided by 46767?
74
What is the remainder when 98010 is divided by 2722?
18
Calculate the remainder when 43637 is divided by 6980.
1757
Calculate the remainder when 19569 is divided by 8412.
2745
Calculate the remainder when 2383056 is divided by 794352.
0
Calculate the remainder when 599615 is divided by 188.
83
What is the remainder when 172626051 is divided by 16165?
16
What is the remainder when 3773985 is divided by 709?
687
Calculate the remainder when 54616 is divided by 6190.
5096
What is the remainder when 792654 is divided by 1725?
879
What is the remainder when 87618 is divided by 43126?
1366
Calculate the remainder when 274020 is divided by 34252.
4
Calculate the remainder when 41259 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Solve 6*j + 9*i = 2*j + 33, -747*j + 721*j + 4*i + 152 = 0 for j.
6
Solve -75 = 5*m - 5*o, -52*m + 183*o + 182*o - 368*o - 65 = 0 for m.
-2
Solve -6*d + 8*d = 8*f - 19 + 5, -5 = -5*f + 2*d for f.
3
Solve -k - 13 = 3*t, -571*k - 17 = -566*k - t for k.
-4
Solve 366*l + 358*l = -3*r + 1089*l - 352*l - 162, 5*r + 3*l = 26 for r.
-2
Solve -841*p + 836*p - 30 = -7*l + 24, -4*p + 31 = 5*l for l.
7
Solve -3*l = -10*i - 10, -4*i + 614 = 4*l - 7*i + 611 for l.
0
Solve -3*v - 3*s = 21, 5*v - 115*s + 108 - 54 = 259 for v.
-5
Solve w = -20*n - 92, 7839*n - 7837*n + 7*w + 108 = 5*w for n.
-2
Solve 0 = -2*u - 176*h + 5090 - 862, -4*u + 128 = 2*h + 3*h for u.
2
Solve 13*n + 32 = 3*r, 5*n + 12 = 517*r - 516*r for n.
-2
Solve 4*v + 100 = -253*s + 252*s, 3*v = 6*s - 39 - 36 for s.
0
Solve 3*m - 21*g = -27, 55*g = m + 51*g + 6 for m.
-2
Solve 4*c + 46 = 5*z, -7*c - 44 = -487*z + 283*z + 236*z + 5*c for z.
2
Solve -2463*n - 5*q = -2468*n - 105, -3*n + 6 = 20*q for n.
-18
Solve 4*i = -36*l + 32*l, -2*i = l + 5 for l.
5
Solve 91 = -2*t + 32*s - 4*s - 25*s, -5*t - 224 = -4*s for t.
-44
Solve -5*h - h = 5*h - 2*h - 5*h, 2*p - 8*h = -4*h - 24 for p.
-12
Solve 0*t - 526 = 9*k + t - 0*t, -8089*k + 8084*k = -3*t + 310 for k.
-59
Solve -3*l - 33 = 0, 3445 = -8*c - l + 3434 for c.
0
Solve 2*x + 26334 = -f + 26275, 5*f - 7*x = 249 for f.
5
Solve 8*g + 2*c - 13 = 18*g + 12*g + 51 - 32, 9*c = 243 for g.
1
Solve 5*t + 3*p = 8*p - 10, -4*t - 18500*p - 2 = -18502*p for t.
1
Solve 68*s + 554 = -2*c, 3*s - 1797*c + 9 = -1794*c for s.
-8
Solve 76628*f - 2*k = 76627*f + 4, -11*f + k + 2 = 0 for f.
0
Solve -89541*q + 3*f - 13 = -89537*q, 5*f = 5*q + 20 for q.
-1
Solve 0 = 5*i - v - 40, -14*i + 18*i = -7*i + 4*v + 88 for i.
8
Solve 3*k + 4*t = 655 - 704, 0 = 81*k + 2*t + 1217 for k.
-15
Solve 0 = u + 3*d + 74, -u - 2*d - 14 = -3*d + 25 + 19 for u.
-62
Solve -3*d + 0*z = 2*z + 2*z + 18, -2*z - 2*z = 7*d - 6 for d.
6
Solve 4*a = -w - 2026 + 1003 + 1010, 0 = -11*a + 33 for w.
-25
Solve 189 = -2*l - 3*a + 202, 4*l = -14*a + 50 for l.
2
Solve 2*g - 3*a - 5 = 0, 524*g - 266*g + 2*a - 7 = 249*g for g.
1
Solve -22*n - 12*n = -2*j + 858, 11*j + 30 = -2*n + 6*j for n.
-25
Solve -17 = -k - 3*x + 3, 166150*k - 166155*k + 185 = -2*x for k.
35
Solve 129*p - 132*p = o + 12, 3*p - 75 = 28*o - 0*p for o.
-3
Solve -4*g + 40 = 4*r, -6*r - 88 + 87 = 5*g - 56 for g.
5
Solve -2*p + 5*p + 2*u = 11, -7*p + 0*p - u - 5 = -4*u for p.
1
Solve 4*o = -2*a, 67*o + 70*o + 26 = 215*o - 77*o - 6*a for o.
2
Solve 53*m + 155 = 17*j + 48*m, 3*j - 81 = -17*m for j.
10
Solve 12*u + k - 3 - 7 = 11 + 26, 4*u - 3*k - 60 + 1 = 0 for u.
5
Solve -u = 3*k - 99, -867*u - 6*k = -1739*u + 869*u - k - 165 for u.
0
Solve -p - 92 = -3*t + 92 - 193, 3*t + 5*p + 9 = -0*t for t.
-3
Solve -2*d + 66 = -5*d + 3*q + 7 + 20, -4 = 4*d + 4*q for d.
-7
Solve 5*r - 213 = 3*z - 220, 2*r = 2 for z.
4
Solve -100*p + 78 = -96*p - y, -16*p - 28*y + 276 = -5*p for p.
20
Solve 0 = 2*j + 4*v - 26, 3*j - 6212 = 2*v - 6181 for j.
11
Solve 12*f + 30545*q = 30546*q + 372, f - 31 = q for f.
31
Solve -5*z + 8 = 3*k, -4*z + 20 = 995*k - 996*k for k.
-4
Solve 688*v = 690*v + 807*j + 3220, 3*v - 4*j = j + 32 for v.
4
Solve -5*n - 9 = -2*a, -n + 1 = 209115*a - 209115*a for a.
7
Solve -117 = -5*d + 3*q, 6*d + 6793 = q + 6923 for d.
21
Solve -110*f = -2*a - 105*f - 99, -4*a - 2*f - 186 = 0 for a.
-47
Solve -73*j - 32 + 490 = -3*y, y - 3*j = -46 for y.
-31
Solve 6 = 2*i, 8*i = 132663*o - 132668*o + 69 for o.
9
Solve m + 12 = 5*q, 25*q - 3*m + 3*m + 18 = -m + 6 for q.
0
Solve 3*j - 88320 = -4*b - 88477, b + 4*j = -192 for b.
-4
Solve i + 69 = -2*h, 21*i - 2*h - 31 = 3 + 13 for i.
-1
Solve -4*z + 5*m - 30 = 0, -37*z + 9*z + 16*z + 5*m = -10 for z.
5
Solve -3*c + 3*d = -9, -52*c - 108136*d + 109 = -108141*d for c.
2
Solve 0 = -140*x + 4*i - 28 - 40, -2*x = -i + 17 for x.
0
Solve 12802*f - s + 6 = 12803*f, 0 = -9*f + 5*s + 110 for f.
10
Solve f + 6*x - 2*x = -43, -73 = -46*f + 6*f + 2*x + x for f.
1
Solve -7586 = -6*t + 2*t + 10*k - 7518, 2*t - 104*k + 14 = -107*k for t.
2
Solve -16*t - 3*g + 96 - 657 - 240 = 0, -t - 46 = g for t.
-51
Solve -2*s - 32 = -2*p, 0 = 7*p - 88220*s + 88225*s + 68 for p.
1
Solve -805137*m + 805142*m + 5 = 0, -8*s - 4*m + 228 = 0 for s.
29
Solve 0*a + 2*a = 2*a + 3*v, 11*a - 81*v = 85*v - 164*v + 55 for a.
5
Solve -b - 3*f + 4 = 0, 3*b - 2*f - 143739 = -143749 for b.
-2
Solve -3*w = 5*n + 171 - 35, 5*w + w = -3*n - 90 for n.
-26
Solve 6*p + g - 14704 = -14712, -3*p + 5*g + 7 = 0 for p.
-1
Solve 5*g = -4*t + 69, -105 = -10*g - 697*t - 694*t + 1386*t for g.
5
Solve -2*w - 7 + 30 = -4 - 19, -3*v + 805 = 35*w for v.
0
Solve 2*d - 4*v - 10 = 0, -257*v - 262*v - 20 = -515*v for d.
-5
Solve -38 = -4*j + 2*t, -5*j + 2931*t + 32 + 191 = 2922*t for j.
-4
Solve -y - 3 = -2*x, -9 = 3*y - 307798*x + 307796*x for y.
-3
Solve 4*v = -2*u - 9 - 287, -2*v - 2*u - 370 = 3*v for v.
-74
Solve 5*y + 65 = -10*k, 0 = 4*k - 2*k - 7*k + 9*y + 16*y + 160 for k.
-3
Solve -2*q - 2 = -8*h, -7*q + 30 = 3*h - 40 + 15 for q.
7
Solve -4*c + 11 = -6488*r + 6487*r - 0, 4 = 2*c for r.
-3
Solve -5*t + 27 = -4*x, -2*t - 4*x + 29193 = 14597 + 14602 for t.
3
Solve x + 5536*y - 5525*y = -406, 4*y = 5*x - 153 for x.
1
Solve -s = -21*n + 99, 5*n + 64*s = 66*s + 4 + 9 for n.
5
Solve -21 = r + 3*w, 4*r + 1684472*w - 1684478*w + 12 = 0 for r.
-9
Solve 50 = 6450*x - 6447*x - 5*g - 36, x + 4*g + 79 = 0 for x.
-3
Solve 28*c = -v + 23*c - 11, -8 = -6*c + 10*c for v.
-1
Solve -23 - 38 = -2*d - 5*r - 268, -158*d - 185 = -172*d + 3*r for d.
4
Solve 4*p + 3*o + 123 = 0, 140*o - 41 = -p + 141*o for p.
0
Solve -156*r = 468, 4*o + o - 376*r = -374*r + 21 for o.
3
Solve -3*r + 2*y = 42 - 50, -28*r + y = 102 for r.
-4
Solve -5*f + 119 = -n - 13 + 53, -n = -15*f + 4*n + 235 for f.
16
Solve 225 = -9*p, 2*o + o - 9*o = -2*o + p + 37 for o.
-3
Solve -7*y + 5*c = 33*y - 100, 2*c + 80 = -2*c for y.
0
Solve -3*p = -36*k + 1320, -5*p - 348*k + 350*k - 54 = -0*p for p.
4
Solve -18*y - 25*p + 21*p + 18 = 0, -30*y + 29*y + 4*p - 37 = 0 for y.
-1
Solve -5*y + 4*s + 20 = 0, 2*s - 65 = 2*y - 77 for y.
-4
Solve 83*t + 5*l = -193, 6*l + l - 4*l + 66 = 0 for t.
-1
Solve 101*b = 99*b + 3*n - 52, b + 3*b + 8*n = 92 for b.
-5
Solve -11*p + 4*p + 6*p - 8 = -3*f, 5*f = 32*p - 9 - 8 for f.
3
Solve 7861*t - 5*a - 21 = 7863*t, -3*a - 21 = -3*t for t.
2
Solve -4*u + 2319*j = -3*u + 2358*j + 55, 0 = 3*j + 3 for u.
-16
Solve 121355*t + 5*g = 121354*t - 7, 3*t - 3*g = -21 for t.
-7
Solve -2*j + 19*d - 15*d + 66 = 14, 339*j + 5*d = 10863 for j.
32
Solve -105185998*o + 105185983*o - 50 = -5*m, 0 = -2*m + 8 for o.
-2
Solve -45*n - 213*g + 687 = -48*n - 36*g, 4*n - 121 - 118 = 5*g for n.
66
Solve 2*i + 113 = 16*r + 155, 5*r + 2*i + 192 = -0*r + 171 for r.
-3
Solve 54 = -4*d + 7*d + 6*n, -6*d + 47*n - 98*n = -49*n - 38 for d.
4
Solve 3*q + 342*b + 108 = 339*b, 2*q - b + 12 = 9*b for q.
-31
Solve -2*g + 2735 = -4*w + 2761, -2*g - 13*w = -59 for g.
-3
Solve -37 = 3*g - 5*l, -262*l + 27 = -5*g - 271*l for g.
-9
Solve 8 = -4*i - 3*r, 0 = -92*i + 71*i + 3*r - 117 for i.
-5
Solve -11659*f + h - 122 = -11664*f, 2*h = -7*f + 169 for f.
25
Solve 3*j - 8*j = -6*k - 80, -12 = 2*j + 5*k - 3*k for j.
4
Solve -a + 95*j + 2474 = 0, -14038*j + 116 = 3*a - 14042*j for a.
4
Solve -7*q = 3*w - 10548475 + 10548564, -8*q + 3*q = -4*w + 39 for q.
-11
Solve -4*j + 20 + 1 = 3*c, 2519*c - 2517*c = 2*j for c.
3
Solve 2*b - 5*t - 266 = 7*b - 221, -8*b = -3*b + t + 49 for b.
-10
Solve 4*i - 41 = -52265*z + 52288*z, -i = -4*z - 5 for i.
-7
Solve j = 6*s + 1023 - 1409, -7*j + 0*s + s - 37 = 0 for j.
4
Solve 4*s + 36 - 53 = -4*z - 1, -s - 5*z = -12 for s.
2
Solve 59*s - 1428 = 4*h, s - 21*h - 1619 = -18*h - 1586 for s.
24
Solve -60*o = 2*a - 71*o + 73, -2*a - 3*o - 3 = 0 for a.
-9
Solve 7*m = 5*a - m + 110, 186*a - 2*m - 53 = 182*a - 5*m for a.
2
Solve 3*u + 106 = 97, -4*p - 92*u - 288 = 0 for p.
-3
Solve 599571*k = -3*l + 599567*k + 27, -2*k + 45 = 5*l for l.
9
Solve 5*l - 153 = 5*f - 2 - 11, -24*l = -2*f - 628 for l.
26
Solve 0 = 4*d + 114*r - 118*r - 28, 12*d - 683 = -73*d - 3*r - 0*r for d.
8
Solve -288*i = 2*r - 289*i - 19, 4*i + 64 = 5*r for r.
4
Solve 28*r - 1512 = 0, -43*r + 78*r + 264 = -3*n + 40*r for n.
2
Solve -2*c + 5029*x - 5027*x + 14 = 0, 0 = -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
et z be s(6). Factor 2/9*v**z - 2/9*v**2 - 2/3*v**4 + 0*v + 0 + 2/3*v**3.
2*v**2*(v - 1)**3/9
Let k be -1 + 4 + (0 - 1). Solve -4*i + 11*i**4 - 9*i**4 - k - 3*i**3 + 7*i**3 = 0 for i.
-1, 1
Let g(o) = -o**3 - 14*o**2 + 13*o - 27. Let f be g(-15). What is w in -1/4*w**5 - 3/4*w**4 + 0 + 0*w - 1/4*w**2 - 3/4*w**f = 0?
-1, 0
Let n(q) = -4*q**2 + 2. Let z(u) be the third derivative of -u**4/24 + 2*u**2. Let h = -2 - -1. Let d(k) = h*n(k) + 2*z(k). Factor d(b).
2*(b - 1)*(2*b + 1)
Let k(s) be the third derivative of -s**5/420 + s**4/21 - 8*s**3/21 + 5*s**2. Determine b so that k(b) = 0.
4
Let y = 2 + 1. Let j(i) be the first derivative of 1/2*i**2 - y - 1/3*i**3 + 0*i. Suppose j(z) = 0. Calculate z.
0, 1
Let r(a) be the first derivative of -2*a**5/5 + a**4 + 10*a**3/3 - 6*a**2 - 51. Factor r(q).
-2*q*(q - 3)*(q - 1)*(q + 2)
Let q(p) be the third derivative of p**7/840 - 18*p**2. Factor q(l).
l**4/4
Let m(x) = 63*x**3 + 399*x**2 + 447*x + 177. Let l(r) = -4*r**3 - 25*r**2 - 28*r - 11. Let v(h) = 33*l(h) + 2*m(h). Factor v(g).
-3*(g + 1)*(g + 3)*(2*g + 1)
Let u = -83 + 83. Let i(b) be the first derivative of u*b**4 + 2*b**3 + 0*b - 4 - 2*b**2 - 2/5*b**5. Let i(y) = 0. Calculate y.
-2, 0, 1
Let h = 3884/15 + -1143/5. Let r = h + -30. Factor 0*j + 0*j**2 + 0 - r*j**5 + 2/3*j**4 - 1/3*j**3.
-j**3*(j - 1)**2/3
Suppose -60 = -4*v - 20. Let x = v - 8. Determine z, given that 0*z**2 - 3*z - 6*z**x + 3*z**2 + 0*z**2 = 0.
-1, 0
Suppose -6*h - 9 = 3*p - 9*h, -15 = -3*h. Factor -2/3*a**p + 0 + 0*a - 1/3*a**3.
-a**2*(a + 2)/3
Let a(w) be the first derivative of 3*w**4/32 + 3*w**3/4 + 27*w**2/16 + 3*w/2 + 11. Factor a(v).
3*(v + 1)**2*(v + 4)/8
Suppose -4*n = -2*a + 30, 0*n - 35 = 3*n - 4*a. Let h(f) = -2*f**2 - 7*f - 5. Let y(j) = 4*j**2 + 13*j + 9. Let g(r) = n*h(r) - 3*y(r). Factor g(c).
-2*(c + 1)**2
Let z(g) be the first derivative of -g**5/25 + 2*g**3/5 + 4*g**2/5 + 3*g/5 - 12. Factor z(q).
-(q - 3)*(q + 1)**3/5
What is w in -3/2*w**3 + 6*w**2 - 9/2*w + 0 = 0?
0, 1, 3
Factor -10/13*f + 2/13 - 2*f**2 - 14/13*f**3.
-2*(f + 1)**2*(7*f - 1)/13
Let n(i) be the third derivative of i**6/30 + 4*i**5/15 + i**4/6 - 4*i**3 - 16*i**2. Factor n(p).
4*(p - 1)*(p + 2)*(p + 3)
Let z(g) = -g**4 + g**2 + g - 1. Suppose 8 + 0 = 4*x. Let j(f) = f + 2*f**3 + f - 3*f**4 - x - f**4 + 2*f**2. Let n(a) = j(a) - 2*z(a). Factor n(r).
-2*r**3*(r - 1)
Let n(j) be the third derivative of j**7/2100 + j**6/150 + j**5/25 + 2*j**4/15 + j**3/2 + j**2. Let p(v) be the first derivative of n(v). Factor p(z).
2*(z + 2)**3/5
Let j(h) be the second derivative of 0*h**3 + 1/50*h**5 + 0 + 0*h**2 - 1/75*h**6 + 0*h**4 + 4*h. Suppose j(q) = 0. Calculate q.
0, 1
Suppose -3*m + 12 = 3*z, 3*z - m + 6 = 5*z. Determine t, given that -t**2 + 5*t**2 - 5*t**2 + 3*t**z + 2*t = 0.
-1, 0
Let s(j) = -j**2 + 5*j - 2. Let q be s(5). Let g be q + 4 + (-5)/3. Factor g*n**4 + 2/3*n**3 + 0*n**2 - 1/3 - 2/3*n.
(n - 1)*(n + 1)**3/3
Let y = 6 + 2. Let d be 9*y/420*5. Solve -2*u - d*u**2 - 4/7 = 0 for u.
-2, -1/3
Let c(n) be the first derivative of 2*n**5/35 + n**4/7 + 2*n**3/21 - 5. Suppose c(j) = 0. What is j?
-1, 0
Let y(r) be the second derivative of -2*r - 1/50*r**5 + 1/3*r**3 - 1/10*r**4 + 1/75*r**6 + 0 - 2/5*r**2. What is o in y(o) = 0?
-2, 1
Let p(c) be the first derivative of -c**4/20 + c**2/10 - 6. Factor p(b).
-b*(b - 1)*(b + 1)/5
Solve 14/9*g + 0 + 2/9*g**2 = 0.
-7, 0
Let -3/4*p**2 - 11/4*p - 3/2 = 0. What is p?
-3, -2/3
Let p be 35/4 + 6/(-8). Suppose 3*g - 4*g - 4*j = -p, -2*g = -3*j + 6. Find n such that 1/2*n**2 - n + g = 0.
0, 2
Let t(f) be the third derivative of -3/40*f**6 - f**2 - f**3 + 1/20*f**5 + 0*f + 3/8*f**4 + 1/70*f**7 + 0. Factor t(x).
3*(x - 2)*(x - 1)**2*(x + 1)
Suppose -5*x + 30 = 3*v - 0*v, 4*v = 4*x + 8. Let m(b) = -b + 1. Let s be m(-4). Factor -z + 2*z**v - 2*z**2 + 2*z**4 + 0*z**s - 4*z**5 + 3*z**5.
z*(z - 1)*(z + 1)**3
Factor 44*d + 2 + d**2 - 40*d + d**2.
2*(d + 1)**2
Let o(j) = 8*j**5 + 4*j**4 - 8*j**3 - 8*j**2. Let f(u) = 7*u**5 + 4*u**4 - 7*u**3 - 7*u**2. Let h(a) = 4*f(a) - 3*o(a). Factor h(c).
4*c**2*(c - 1)*(c + 1)**2
Let d(m) be the first derivative of -m**6/4 - 7*m**5/5 - 13*m**4/4 - 4*m**3 - 11*m**2/4 - m + 1. Factor d(k).
-(k + 1)**4*(3*k + 2)/2
Let o be (-4)/(-10) + (-23)/(-5). Let v = o - 3. Factor -l + l + v*l**3 + 5*l**4.
l**3*(5*l + 2)
Let t(c) = 4*c - 5 + c + 0*c**2 - c**2. Let r(h) = h - 1. Suppose 0 = 3*v - 2 - 7. Let i(f) = v*t(f) - 15*r(f). Factor i(q).
-3*q**2
Let k = -8 - -12. Let a = k - 2. Determine s, given that -2/5*s**4 + 0*s**a + 0 + 2/5*s**3 + 0*s = 0.
0, 1
Let l(x) be the third derivative of 2*x**7/35 - x**6/5 - 11*x**5/20 - 3*x**4/8 - 26*x**2. Let l(c) = 0. Calculate c.
-1/2, 0, 3
Find d such that 4/11*d + 2/11*d**2 + 0 = 0.
-2, 0
Let o(i) be the second derivative of i**6/180 + i**3/3 - i. Let l(k) be the second derivative of o(k). Factor l(d).
2*d**2
Let h(m) be the third derivative of m**8/1344 + m**7/280 + m**6/160 + m**5/240 - 7*m**2. Solve h(r) = 0.
-1, 0
Suppose s - 4*s = -6. Let -2*y**s - 2 - 8*y + 1 - 8 + 1 = 0. Calculate y.
-2
Determine m so that -1/2*m**4 + 7/2*m**3 + 27 - 9/2*m**2 - 27/2*m = 0.
-2, 3
Let f = -16 + 20. Factor 0*l + 1/4*l**f - 1/2*l**3 + 1/4*l**2 + 0.
l**2*(l - 1)**2/4
Let c(q) be the second derivative of 1/80*q**5 + 0 + 4*q + 0*q**2 + 1/24*q**4 + 1/24*q**3. Factor c(x).
x*(x + 1)**2/4
Factor -31*v**2 - 2*v**5 + 4*v**5 + 6*v**3 + 31*v**2 - 8*v**4.
2*v**3*(v - 3)*(v - 1)
Let h(x) = 8*x**2 + x + 3. Let p(i) = 7*i**2 + 3. Let w(s) = 6*h(s) - 7*p(s). Let q be w(5). Factor q*l**3 + 3*l + 0*l**2 - l + 4*l**2.
2*l*(l + 1)**2
Solve 3/2*k + 3/4*k**2 + 0 = 0.
-2, 0
Determine k so that -8*k**2 - 4*k - 1 - 1 + 6*k**2 = 0.
-1
Let n(f) be the third derivative of -f**9/60480 + f**8/20160 - f**5/10 + 4*f**2. Let h(a) be the third derivative of n(a). Determine l, given that h(l) = 0.
0, 1
Let n(g) = g**2 + 15*g + 50. Let i be n(-5). Factor 1/5*x**2 + 0 + i*x.
x**2/5
Let y(v) be the first derivative of v**3/3 - 3*v**2/2 + 4. Let t be y(3). Determine l, given that 1/4*l + 1/4*l**4 + 3/4*l**2 + 3/4*l**3 + t = 0.
-1, 0
Let x(l) = 28*l**4 + 4*l**3 + 12*l**2 - 28*l + 8. Let g(o) = -o**4 - o**2 + o. Let y(t) = -24*g(t) - x(t). Factor y(d).
-4*(d - 1)**2*(d + 1)*(d + 2)
Let q be -4 - (4 + (-168)/20). Factor 2/5*o + 0*o**3 - q*o**5 + 0 - 4/5*o**4 + 4/5*o**2.
-2*o*(o - 1)*(o + 1)**3/5
Let w(s) = s**2 - s + 1. Let d be w(2). Let r be (d/(-6))/((-6)/4). Factor 0*n - r*n**2 + 0.
-n**2/3
Let c(i) be the first derivative of -i**6/180 - i**5/60 + i**3 + 3. Let w(l) be the third derivative of c(l). Factor w(u).
-2*u*(u + 1)
Suppose 16*t - 111 + 47 = 0. Determine y so that -3/8*y**t + 0 + 3/8*y**5 + 3/8*y**2 + 0*y - 3/8*y**3 = 0.
-1, 0, 1
Let z(f) be the first derivative of -2 - 9/8*f**4 + 1/4*f**3 + 3/4*f**2 + 0*f. Factor z(h).
-3*h*(2*h + 1)*(3*h - 2)/4
Let x = 2/3 + -1/3. Let m = 73/3 + -24. Suppose 2/3 - m*f - x*f**2 = 0. Calculate f.
-2, 1
Let o = 277/12 + -23. Let s(j) be the first derivative of o*j**4 + 1/3*j**3 + 1/3*j + 1 + 1/2*j**2. What is a in s(a) = 0?
-1
Let h be -5*(-8)/20 + 2. Suppose 6*y**2 + 4*y**h + 0 - 26/3*y**3 - 4/3*y = 0. What is y?
0, 1/2, 2/3, 1
Let s(l) be the first derivative of -l**5/20 + 5*l**4/36 + l**3/9 + 4*l - 5. Let u(z) be the first derivative of s(z). Factor u(c).
-c*(c - 2)*(3*c + 1)/3
Let b(z) be the second derivative of z**6/50 - 9*z**5/50 + 9*z**4/20 - 2*z**3/5 - 6*z. Let b(g) = 0. Calculate g.
0, 1, 4
Factor -21 + 6*u + 6*u - 2*u**2 + 3.
-2*(u - 3)**2
Solve 5 - 2 + 6*x + 2*x**2 + x**2 = 0.
-1
Let w(i) be the first derivative of i**3/15 + 3*i**2/10 + 9. Factor w(z).
z*(z + 3)/5
Factor 25*u + 16*u**4 - 25*u + 4*u**5 + 8*u**3 - 16*u**2 - 12*u.
4*u*(u - 1)*(u + 1)**2*(u + 3)
Suppose -3*z - 33 = -3*t, t - 5*t + 40 = -5*z. Suppose -4*j + t = -j. Factor 18*x**j - 16/3*x**2 + 24*x**3 + 0*x + 0 - 36*x**4.
2*x**2*(3*x - 2)**3/3
Solve 0 + 6/7*i**5 + 2*i**4 + 0*i + 10/7*i**3 + 2/7*i**2 = 0 for i.
-1, -1/3, 0
Let d(p) be the first derivative of -p**5/5 - 41. Factor d(w).
-w**4
Let d be 0 - (3 - -3) - 0. Let i be ((-8)/d + -2)*-3. Factor 1 + 5/2*j**3 + 6*j**i + 9/2*j.
(j + 1)**2*(5*j + 2)/2
Let x(c) be the second derivative of 0 + 1/4*c**5 + 1/6*c**3 + 1/3*c**2 - 5*c - 2/45*c**6 - 4/9*c**4. Determine t so that x(t) = 0.
-1/4, 1, 2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
-4 by 17.
-4/17
-472 divided by 59
-8
-882 divided by 2
-441
0 divided by 3
0
-3948 divided by -564
7
5 divided by 623
5/623
3223 divided by -5
-3223/5
Divide -90 by -5.
18
What is 1976 divided by -988?
-2
What is 5 divided by 979?
5/979
337 divided by 1
337
Calculate -18825 divided by 5.
-3765
Divide -11 by -33.
1/3
Calculate -1 divided by -1036.
1/1036
Calculate 6 divided by -2988.
-1/498
What is -18 divided by -9?
2
Calculate 135 divided by -27.
-5
What is -4 divided by 14?
-2/7
6 divided by -1
-6
What is 730 divided by -4?
-365/2
Divide 1008 by 12.
84
What is 224 divided by -28?
-8
What is -3270 divided by 3?
-1090
Calculate 21495 divided by 3.
7165
29 divided by 297
29/297
Calculate 168 divided by -17.
-168/17
What is 11 divided by -37?
-11/37
What is 281 divided by 281?
1
Calculate 1852 divided by 4.
463
-1828 divided by -15
1828/15
-21 divided by -93
7/31
What is -1 divided by 6256?
-1/6256
What is -453 divided by 453?
-1
What is 2690 divided by -5?
-538
Calculate 108 divided by 36.
3
What is 1244 divided by -4?
-311
What is 588 divided by -3?
-196
Calculate 32 divided by -1.
-32
Calculate 92 divided by -11.
-92/11
2605 divided by 8
2605/8
-76 divided by -58
38/29
Divide 2 by -3190.
-1/1595
What is 700 divided by -700?
-1
Calculate 10 divided by -104.
-5/52
-8075 divided by 95
-85
What is -9996 divided by -102?
98
Divide 2425 by 4.
2425/4
Calculate -51 divided by -20.
51/20
Divide 1600 by -4.
-400
Calculate 0 divided by 26.
0
What is -85 divided by -5?
17
What is 11176 divided by -11?
-1016
Divide 5 by 603.
5/603
Calculate -4685 divided by -2.
4685/2
Divide 21 by 32.
21/32
Calculate -224 divided by 14.
-16
What is 463 divided by -4?
-463/4
-2 divided by 787
-2/787
Divide 298 by 3.
298/3
Divide 796 by -9.
-796/9
Calculate 2 divided by -331.
-2/331
Calculate -396 divided by 6.
-66
-8680 divided by -1085
8
What is 156 divided by -4?
-39
Divide -1 by 1566.
-1/1566
Divide -253 by 16.
-253/16
Calculate 238 divided by 14.
17
Divide 806 by -403.
-2
Divide 8400 by 1050.
8
Calculate -5 divided by -153.
5/153
Calculate 10565 divided by 5.
2113
Divide 1470 by 6.
245
Divide -1550 by -2.
775
-5 divided by -2483
5/2483
Calculate -1 divided by 20.
-1/20
What is 205 divided by -10?
-41/2
0 divided by -81
0
Calculate -16 divided by 4.
-4
Divide -1615 by 5.
-323
2690 divided by -11
-2690/11
Divide 30544 by -4.
-7636
Divide 148 by -2.
-74
What is 237 divided by -1?
-237
What is -111 divided by -2?
111/2
-15 divided by 295
-3/59
Divide -75 by 3.
-25
Calculate 414 divided by -23.
-18
Divide 351 by -351.
-1
Calculate 2437 divided by -3.
-2437/3
-6 divided by -623
6/623
590 divided by -59
-10
Divide 734 by 1.
734
Calculate -260 divided by 5.
-52
2556 divided by -284
-9
Divide 9 by -1.
-9
Calculate 14 divided by 55.
14/55
0 divided by 13
0
What is -14193 divided by -171?
83
-135 divided by -27
5
3 divided by 26
3/26
Calculate -2584 divided by 4.
-646
Calculate -22212 divided by 6.
-3702
Calculate -3 divided by -2994.
1/998
Divide -196 by -98.
2
What is -42 divided by 5?
-42/5
-5 divided by 230
-1/46
150 divided by 50
3
Calculate 5 divided by 252.
5/252
What is -805 divided by 3?
-805/3
What is -5 divided by -1233?
5/1233
What is -992 divided by -248?
4
Calculate -4950 divided by -110.
45
What is -4928 divided by -16?
308
Divide -7065 by -2355.
3
Calculate 192 divided by 2.
96
Calculate 4800 divided by 160.
30
Calculate -63 divided by -107.
63/107
Divide -5 by -110.
1/22
18454 divided by -1
-18454
-6462 divided by 1077
-6
22569 divided by -1
-22569
What is 1024 divided by -1?
-1024
-2700 divided by -12
225
450 divided by -3
-150
What is -31 divided by -504?
31/504
What is -2 divided by 19?
-2/19
Calculate -1 divided by 102.
-1/102
9 divided by -3
-3
-270 divided by 7
-270/7
What is 2 divided by -751?
-2/751
Divide 476 by 2.
238
Divide -84 by -1.
84
-4 divided by -19
4/19
-5 divided by 159
-5/159
10940 divided by -5
-2188
Calculate 1 divided by -1.
-1
-702 divided by -234
3
Divide -10920 by 420.
-26
Divide -3110 by 2.
-1555
Divide 22 by -3.
-22/3
Divide -4 by -1807.
4/1807
Calculate -2 divided by -482.
1/241
Calculate 42 divided by 21.
2
Calculate -228 divided by -6.
38
Calculate -65 divided by -5.
13
Divide -5620 by 1124.
-5
-4 divided by -44
1/11
Divide -92 by 3.
-92/3
What is -67 divided by 8?
-67/8
Divide -6 by -8.
3/4
-342 divided by 342
-1
Divide 297 by 297.
1
372 divided by -31
-12
-1521 divided by 2
-1521/2
3762 divided by 6
627
What is -539 divided by -3?
539/3
What is 380 divided by -4?
-95
Calculate 114 divided by -4.
-57/2
Calculate 1 divided by 149.
1/149
-1810 divided by -362
5
Calculate -2433 divided by 13.
-2433/13
-42 divided by 7
-6
What is -1496 divided by 34?
-44
-3021 divided by 6
-1007/2
-4818 divided by 33
-146
-952 divided by -4
238
Calculate 12370 divided by 2474.
5
Calculate 216 divided by -3.
-72
Calculate -9678 divided by 6.
-1613
-123 divided by 50
-123/50
11 divided by 9
11/9
Divide -336 by -28.
12
Divide 8 by -46.
-4/23
69 divided by -6
-23/2
Divide -51883 by 1.
-51883
What is 821 divided by -30?
-821/30
Divide 9 by 2731.
9/2731
Calculate 0 divided by 37.
0
-74 divided by 26
-37/13
Divide -5 by 58.
-5/58
What is 925 divided by -11?
-925/11
Divide 2 by -2707.
-2/2707
Calculate -4 divided by -1484.
1/371
-88 divided by -22
4
Divide 19214 by -2.
-9607
What is 3614 divided by 3?
3614/3
-99 divided by -7
99/7
Divide -7997 by -3.
7997/3
Calculate -21040 divided by 5.
-4208
Divide -68 by -34.
2
-5 divided by 6
-5/6
Calculate -11350 divided by -1.
11350
Divide 1878 by -1.
-1878
Calculate 0 divided by -140.
0
-39 divided by -13
3
Calculate -2 divided by 76.
-1/38
Divide 1084 by 4.
271
What is -9000 divided by -75?
120
Divide 0 by 33.
0
252 divided by 126
2
792 divided by 22
36
Calculate -1 divided by 416.
-1/416
Divide 5 by -161.
-5/161
Divide 1288 by 28.
46
What is 0 divided by -233?
0
What is -88 divided by 2?
-44
Divide -17 by -11.
17/11
-1300 divided by 260
-5
What is 246 divided by -82?
-3
Divide 2 by 108.
1/54
Divide -3365 by 3365.
-1
-5 divided by -67
5/67
-240 divided by -3
80
Calculate -2032 divided by 508.
-4
Divide 5434 by 26.
209
Divide -1148 by 14.
-82
Calculate 1984 divided by -16.
-124
What is 2045 divided by 2?
2045/2
-4 divided by -990
2/495
Calculate -1059 divided by 353.
-3
-42 divided by -10
21/5
Divide 5 by -56.
-5/56
880 divided by 6
440/3
-6 divided by -3
2
695 divided by -4
-695/4
Divide -39 by -28.
39/28
Divide -672 by 28.
-24
What is 238 divided by -17?
-14
Divide -440 by 11.
-40
-256098 divided by -6
42683
Divide -1 by -1049.
1/1049
-822 divided by -274
3
10 divided by 273
10/273
Calculate 42291 divided by -3.
-14097
What is -4 divided by -92?
1/23
-4875 divided by 65
-75
-3 divided by 1
-3
Divide -2893 by 11.
-263
What is 0 divided by 53?
0
Divide -5 by -376.
5/376
Calculate -134 divided by 12.
-67/6
Divide 138 by -46.
-3
Divide 1334 by -667.
-2
What is -124 divided by -5?
124/5
1 divided by 32
1/32
Calculate -310 divided by -5.
62
What is -84 divided by 28?
-3
What is -10 divided by -8?
5/4
-340 divided by -34
10
-28 divided by 108
-7/27
Divide -2 by -281.
2/281
What is 3 divided by 352?
3/352
Calculate 0 divided by -54.
0
What is 306 divided by -3?
-102
Divide -2014 by 38.
-53
Divide 96006 by 6.
16001
Divide -10 by 220.
-1/22
Calculate -516 divided by -4.
129
Calculate 492 divided by -3.
-164
Calculate -5844 divided by 6.
-974
Calculate 2 divided by 51.
2/51
Calculate -11865 divided by -2373.
5
What is 1095 divided by -1?
-1095
Calculate -61 divided by -2.
61/2
What is -304 divided by 8?
-38
What is -10 divided by -621?
10/621
Calculate -12828 divided by 6.
-2138
Calculate -288 divided by 24.
-12
Calculate 62 divided by 2.
31
Divide -4 by 116.
-1/29
What is -1 divided by -994?
1/994
67 divided by 1
67
Divide 426 by 2.
213
Calculate 9372 divided by 3.
3124
Divide -105 by -7.
15
Calculate 168 divided by 3.
56
-708 divided by 6
-118
What is 3 divided by 53?
3/53
71 divided by 71
1
What is -1 divided by -639?
1/639
-30 divided by 15
-2
100 divided by 50
2
4368 divided by -1
-4368
Calculate -14 divided by 7.
-2
Divide -1463 by -1463.
1
Calculate -3030 divided by 2.
-1515
What is -351 divided by -1?
351
Calculate -6 divided by 434.
-3/217
Calculate 1 divided by 56.
1/56
Calculate -882 divided by -1.
882
-298 divi
|
{
"pile_set_name": "DM Mathematics"
}
|
u = -5*q + l, q - 7*u + 7 = -3*u for q.
5
Let x be 22/77 - (-208)/7. Solve 0*o - o = 3*v - 14, 5*v - x = -3*o for v.
3
Let p(n) = -5*n**3 + n**2 + 2*n + 1. Let z be p(-1). Let w = z - 3. Solve -7 = -w*y + 3*y - 3*r, 2*r - 18 = -2*y for y.
5
Suppose 2*s = 2 - 0. Let i = s - -4. Solve 2*n - 7*n = 5*w - 25, i*w - 4*n + 11 = 0 for w.
1
Suppose -i + 4*i - 60 = 0. Suppose -j + 0*t - 3*t - 3 = 0, 5*t = 4*j - 22. Let r be j - 3*8/(-12). Solve 2*s + i = -r*n - 3*s, 3*s = -n - 4 for n.
-4
Let o(q) be the third derivative of -2*q**2 - 1/60*q**5 + 0*q + 1/2*q**3 + 0 - 7/24*q**4. Let k be o(-7). Solve -d - 2 = -h - k*d, -3*h = -5*d - 6 for h.
2
Let k = 0 + 0. Let y = 1 - k. Suppose 2*x - 9 - y = 0. Solve -2*l + 4*i = 14, -l - 16 = -x*l - 3*i for l.
1
Let c be -2 - 2*14/(-4). Solve -5 = -c*s + 20, 2*x + 2*s - 16 = 0 for x.
3
Let w(k) = -k**3 + 6*k**2 + k - 6. Let p be w(6). Suppose -8*c + 3*c + 15 = p. Solve 40 = 3*v + 5*d, -3*v + c*d = -0*v for v.
5
Let b(a) = -a**2 + 20*a - 47. Let j be b(17). Solve -3*c + 3*w - 1 = -w, 2*c + j = w for c.
-3
Let r be 15/(-5) - (1 - 9). Let p(a) = a**2 + 3*a + 2. Let o be p(-6). Solve r*d = -4*m + o, m + d - 5 = -3*d for m.
5
Suppose 0 = -4*c - 3*z + 23, 0 = -6*c + 2*c + 4*z - 12. Solve 5*o - 9 = 3*r, o = -c*o - 3*r + 15 for o.
3
Suppose 5*z = 4*p + 16, 4*z = 3*z. Let a be 22/55 - p/(-10). Solve 0 = 3*l + 6, 4 = -2*c - a*l + l for c.
-3
Let x = 1 + 1. Let r be 8 + (-5)/(5/3). Suppose 5*l = 4*q + 20, -4 - 11 = -4*l + 3*q. Solve -x*o + y - 11 - 1 = l, -r*y + 15 = -o for o.
-5
Let f = 19 - 19. Solve -5*z + 4 = -3*a, 5*a + 0*z + z + 16 = f for a.
-3
Suppose -4*s - 9 - 3 = 0. Let g(d) = 4*d + 7. Let v be g(-3). Let x = s - v. Solve f = -5*m - 4, m - 3*f = -x*f + 4 for m.
0
Let g(m) = m**2 + 7. Let s be g(4). Let l = -2 - 0. Let b = 0 - l. Solve -2 = -b*i + 2*u, -5*i - 2 = 5*u + s for i.
-2
Let h = 5 + -2. Suppose -n + 3*s = 6, -n + 4*n - h*s = -6. Solve n*q - 2*q - b = 3, 3*q = 5*b - 37 for q.
-4
Let y be ((-12)/(-14))/(1/7). Let i = 11 - y. Suppose i*p = -0*p. Solve -5*j = -2*m + 21, -m - 12 = -p*m + 2*j for m.
-2
Let q be (-4)/6*126/(-12). Suppose 2*w + q*o - 2*o = -10, 2*w - 22 = 3*o. Solve -4*r = -z + 6 - 27, -w*r - 5*z = -20 for r.
5
Suppose -11 = 3*l - 4*z - 46, 5*l + 5*z = 0. Let j = l - 3. Suppose 2 - 12 = -j*q. Solve q*f + 3*m = m - 20, -5*m - 16 = 4*f for f.
-4
Let n = -18 - -21. Solve 4*b + 8 + 10 = -2*l, -2*l + 3*b = -n for l.
-3
Suppose -6 = -3*f + 9. Let m = f + 0. Suppose -2*t - m*r + 14 = 0, -2*r + 7 = t - 4*r. Solve 0 = -2*p - y - t, -3*p + 14 = -2*p - 3*y for p.
-1
Let r be (-4)/(-14) + (-24)/(-14). Suppose 3*b - f = 4, 0 = -b - b + r*f. Solve -4*v = -b*v - 5*p + 14, -4*v - 4 = -4*p for v.
3
Suppose 6 = -5*b + 26. Let j be 2/4*(14 - b). Let p = -2 + j. Solve -l = -0*l - 4*g - 23, -p*l = 2*g + 1 for l.
3
Let t(x) = x - 5. Let q be t(6). Let n be ((-2)/q)/(7/(-14)). Suppose -5*b + n = -11. Solve -4*z + 2*z = -b*c + 15, -4*z + 5*c = 27 for z.
-3
Suppose 2*s + 6 = 0, 2*y - s = -8 - 1. Let n(w) = -w**2 - 6*w + 4. Let b be n(y). Solve -4*p + p = 3, 0 = b*t - 4*p for t.
-1
Suppose 2*u = -3*u + 35. Suppose -3*t + u = 1. Solve t*i - 14 = 2*s - 5*s, 3*i - 20 = -4*s for s.
2
Let p = -9 - -4. Let u be (1 - p)/2 + 5. Solve -4*i = 2*f - f - 12, -3*i = f - u for i.
4
Let f be (-6 - -5) + (-5)/(-1). Suppose -4*n - 2*w = -f, n + n - 4*w + 8 = 0. Suppose n = -h + 6*h. Solve -2*i + 7 = -3*o, 15 = -h*o - 4*o - 3*i for o.
-3
Suppose 0*v = -4*v + 8. Let p be (-72)/(-38) - (-7)/((-1330)/(-20)). Solve b = -3*n + 19 + 1, 0 = v*b - p*n for b.
5
Suppose 4*p + 3*h - 11 = 2*h, 3*h + 6 = p. Suppose p*m - t - 23 = 0, -4*m - 4 = 5*t - 3. Solve -a = 2*k, 2*k + 4 = 3*a + m*k for a.
4
Suppose -6*n + 15*n = 81. Solve -4*w + 24 = 4*p, w - 5*p + n = -w for w.
3
Suppose -3*n = -n. Suppose 5*a - 1 = 4*a. Solve -a + 0 = -t + 4*o, n = 5*t + 3*o + 18 for t.
-3
Let o(m) = m**2 + 6*m - 7. Let w be o(-7). Solve 4*p - 3*h = -7*h - 36, w = -3*p + 3*h - 3 for p.
-5
Let q(b) = 3 + b - 5 + 3 + 3. Let x be q(-2). Let l(s) = -s**2 - 6*s + 2. Let v be l(-6). Solve v*u - x = -2*h + 8, -2*h + 7 = u for h.
2
Suppose 2*s + s - 4*i = 41, 3 = 3*i. Suppose -3*w + s = 0, -5*z - 2*w + 65 = -5. Solve -x = 3*g + 2 + 1, g = -4*x - z for g.
0
Let y = -2 + 3. Suppose -3*j + 14 = m + y, 2*j + 5*m = 0. Suppose 0 = -o + j*o - 4. Solve -n - 3*b + 2 = 3*n, -3*n - b - o = 0 for n.
-1
Suppose v = -18 + 3. Let z = -10 - v. Solve -4 - 7 = 4*o - 5*u, 3*o - z*u = -12 for o.
1
Let r be 30/9 + (-2)/6. Solve 13 = 3*p - 3*v - 2, -5*p + r*v + 25 = 0 for p.
5
Suppose 0 = -3*f + r + 8, 0*r - 3*r = 6. Solve -2*l = f*w, 4*w + 4*l = 3*l - 9 for w.
-3
Let d = -21 + 13. Let h(x) = -x**2 - 10*x - 12. Let l be h(d). Solve -l*z = -2*a - 4, 2*z - a = 3*z - 1 for z.
1
Let d = 27 - 23. Solve -4*g = l - 5, -5*g = -l + 1 + d for l.
5
Let i(c) = c**3 + 4*c**2 + 5*c + 10. Let l be i(-3). Suppose 7 = 3*x + 1. Solve 2*q - 8 = 7*q + x*z, 0 = -z - l for q.
0
Let b be 26/4 - ((-14)/(-4) + -3). Solve -3*u - 6 = 5*z, 0*z - b = 3*u + 4*z for u.
-2
Suppose -74*l - 10 = -79*l. Solve r + l*c + 3 = 0, 4*c = -1 - 3 for r.
-1
Let b = 5 + 0. Suppose v - b*h = -11, 3*h = -4*v + 22 + 3. Suppose 3*r - v*r = -5. Solve 0 = -4*j - k + 17 - 4, 0 = 5*j - k - r for j.
2
Suppose -5*y = -15 - 20. Let k(r) = 3*r**2 + r. Let x be k(-1). Solve 0 = -3*s + 5*f - 37, y = x*s + 3*f - 0*f for s.
-4
Let y = 13 + -21. Let i be 3/(2*-3)*y. Solve 12 = -i*j - 2*f, -j + 0*f = f + 5 for j.
-1
Suppose s - 17 = -4*o, 4*s - 139 = 2*o - 35. Suppose 4*p + p = s. Solve -5*z - 2*f - 5 = 0, -3*f + p - 2 = 4*z for z.
-3
Let a be 78/(2 - 10/8). Let u = -158 - -239. Suppose a = 5*p - u. Solve 0 = -l + 3*n + 6, -4*l - 4*n + 13 = p for l.
-3
Let c(n) = -n + 4. Let w = 1 - 5. Let z be c(w). Let l be 1/3 + (-15)/(-9). Solve -6*v + 2*v + z = 4*y, l*y = 2*v - 8 for y.
-1
Suppose 88 = 4*k - 4*i, 0 = -3*k + 5*k - 3*i - 47. Solve 0 = -2*d - 3*v + k, -3*d - v - 3*v + 27 = 0 for d.
5
Let i(y) = -y**3 + 3*y**2 + 2*y - 2. Let g be i(3). Suppose -g*w - 20 = -9*w. Solve 0 = -w*l, -s + 3*l = -4*s - 6 for s.
-2
Let a(l) = l**3 + 5*l**2 - 5*l + 9. Let j be a(-6). Let h(z) = -z**2 + 7*z - 1. Let r be h(6). Let y = -3 + r. Solve -2*m + 3 = y*k + 1, 3 = 4*m + j*k for m.
0
Let v be 4 + -3 - (0 + 2 + -4). Solve o = v*a - 8, 5*a - 5 = -o + 19 for a.
4
Let k be -2 - 0 - (-3 + 1). Solve 5*f - 3*t = f + 10, k = 2*f + 3*t - 14 for f.
4
Let i be (78/(-54) + 1)/(2/(-9)). Solve 4 = -p, -2*d - i*p + 1 + 1 = 0 for d.
5
Suppose 0 = l - 3*a - 2, -2*l = -2*a + 2 - 10. Solve l*o + 15 = f, -5*f = -0*f + 25 for o.
-4
Let p be (30/8)/(6/32). Suppose -p = -5*u + u. Solve h - u*l - 11 - 4 = 0, -4*l = 8 for h.
5
Suppose 5*t = x - 36, 8*x - 4*t = 3*x + 159. Suppose -j = 9 - x. Solve 4*g + j = -m, -5*m - 6 = g + 9 for m.
-2
Suppose 3*k + c = -c + 20, -5*k + 32 = 3*c. Suppose 14*w = 18*w - 96. Solve -4*l + w = 4*h, -l + h - k = -3*h for l.
4
Let j be (-4)/((-3)/6 + 0). Solve -z + 3*z = -j, -4*a + 3*z = -32 for a.
5
Let d(u) = 3*u**2 + u. Let w be d(1). Solve 3*k - 3*b + w*b = -10, 5*b = 4*k + 45 for k.
-5
Suppose 8 = -4*k - r + 3, 0 = 2*k - 4*r - 20. Solve -v + 2 = k, 2*v = -3*j + v + 14 for j.
4
Let f(l) = -6*l - 6. Let x be f(5). Let d be (-1)/4 + (-189)/x. Solve 4*v - 9 - 14 = 5*b, 5*b + 5*v + d = 0 for b.
-3
Suppose -6*f = -3*f + h - 7, 5*f - 3*h = 7. Suppose -4*p + 4 = 0, -3*p + f = 3*l - 13. Solve -l*n - u = -22, -2*n + n - 2*u + 9 = 0 for n.
5
Let u be ((-8)/(-12))/((-1)/(-3)). Solve -15 = -5*o, u*o - 2 = -5*z + z for z.
-1
Let c be 28/2*(1 + 0). Let d = 23 - c. Solve 3*p - 4*l = -11 - d, -14 = 3*p - l for p.
-4
Suppose d - 3*w - 63 = 0, -6*d = -3*d + 2*w - 200. Let q = d + -47. Solve 4*z - 3 = 3*g - q, 0 = -3*z + 5*g - 23 for z.
-1
Let s(b) = -2*b + 1. Let t be s(-1). Solve u + 4*u + 25 = t*p, 3*p = -5*u + 5 for u.
-2
Let u(t) = -t - 3. Let s be u(-5). Let p = 24 - 17. Solve -z + 5*v - 30 = 0, -p*v = -4*z - s*v - 45 for z.
-5
Let q be (2 - 1)/((-3)/(-15)). Suppose -3*u - 21 = -q*u - 5*g, -4*g = -12. Suppose -s + u + 1 = 0. Solve 3*w + 2*i = -0*i + 19, 3*i + s = 2*w for w.
5
Let k be (2 - -10)/4 - 3. Solve -4*y - 10 = 5*i, 4*y - 2*i = -k*y - 24 for y.
-5
Let f be (-21)/9*3/1. Let k = 10 + f. Let j = k - 1. Solve 4*o = -r + 2*r - 1, -8 = 2*o + j*r for o.
-1
Let y be (2/6)/((-4)/(-60)). Solve y*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the third derivative of o(a) wrt a?
-267480*a**3
Let d(r) = -530*r**3 - 160*r - 533. Let h(c) = -1591*c**3 - 454*c - 1600. Let o(p) = 17*d(p) - 6*h(p). Find the second derivative of o(j) wrt j.
3216*j
Let z(t) = -11*t - 53. Let b be z(9). Let w = 1208 - b. Find the second derivative of 1360 - w + 10*n**3 + 38*n wrt n.
60*n
Let m(w) = 66. Let k(b) = -219*b - 3300. Let h(z) = k(z) + 9*m(z). What is the derivative of h(x) wrt x?
-219
Let l(u) = u**2 + 151*u + 133. Let h(v) be the first derivative of 38*v**2 + 66*v - 44. Let n(k) = 5*h(k) - 2*l(k). Differentiate n(c) wrt c.
-4*c + 78
Let h(p) = -4*p**2 + 268*p. Let n(b) = 2*b**3 + 6*b**2 - 267*b. Let s = -883 - -878. Let v(i) = s*n(i) - 6*h(i). What is the second derivative of v(y) wrt y?
-60*y - 12
Suppose 5*d = 2*j + 45 - 107, -4*d = -16. Let m(c) be the first derivative of -23/2*c**2 - 4 + j*c. Differentiate m(q) with respect to q.
-23
Let c(p) = 2564*p**3 - 9*p**2 + 2268*p + 2. Let j(s) = 1284*s**3 - 4*s**2 + 1132*s + 1. Let z(f) = 4*c(f) - 9*j(f). What is the second derivative of z(a) wrt a?
-7800*a
Find the third derivative of -20*p**3 + 85 - 265*p**5 + 660*p**4 - 659*p**4 - 10*p**2 + 23*p**3 - p - 7*p**2 wrt p.
-15900*p**2 + 24*p + 18
Let f = 469 - 468. Let r(b) = 2. Let q(x) = -213*x - 193. Let v(i) = f*q(i) + 2*r(i). What is the derivative of v(u) wrt u?
-213
Let c(y) = -1101*y**2 - 377*y + 46. Let o(x) = 4403*x**2 + 1509*x - 207. Let g(i) = 9*c(i) + 2*o(i). Find the second derivative of g(h) wrt h.
-2206
Let q be 45/6 - 18/12. Suppose -q = l - 2*d, -3*d - 2*d = 3*l - 37. What is the third derivative of -1943*u**4 - 9*u**2 - 10*u**2 + 5*u**2 + 1924*u**l wrt u?
-456*u
Suppose -5*z + 6225 = 5*g, -4*g + 3*z + 6822 = 1828. What is the third derivative of 37*t**6 - 45*t**2 + g - 1247 wrt t?
4440*t**3
What is the derivative of -1121*g - 478 - 252 + 133 wrt g?
-1121
Suppose 147 = -3*o + 165. Find the first derivative of -24*n - o + n + 40 wrt n.
-23
Let h(t) be the third derivative of -5233*t**5/30 + 1991*t**3/6 + 5064*t**2. Differentiate h(g) wrt g.
-20932*g
Find the second derivative of 425*d - 969*d - 4925*d**2 + 545*d + 39 wrt d.
-9850
Suppose -b - 5*m = -4*m - 6, -5*b + 39 = -4*m. Suppose 0 = v + 8*p - 13*p - 22, -2*p - 41 = -5*v. Find the first derivative of b + v*h**3 - 24 - 8*h**3 wrt h.
-3*h**2
Let s(p) be the third derivative of -379*p**6/40 - 651*p**5/10 - 7*p**2 - 18*p - 4. Find the third derivative of s(f) wrt f.
-6822
Find the first derivative of -1321*j + 600*j + 531*j + 58 wrt j.
-190
Let x(j) be the second derivative of -j**2 + 183*j + 1/20*j**5 + 1/12*j**4 + 0 + 1/2*j**3. Find the second derivative of x(h) wrt h.
6*h + 2
Let v(g) be the first derivative of 561*g**4/4 - 103*g**3/3 - 902. Find the third derivative of v(q) wrt q.
3366
Suppose 208*j - 216*j = -48. Differentiate j*h - 71*h**3 - 34*h**4 + 73*h**3 - 83 - 6*h with respect to h.
-136*h**3 + 6*h**2
Differentiate -55 - 1441 + 2021 - 4304 + 1957*z with respect to z.
1957
Let x = 37 + -34. Let q = 2 + 12. Find the second derivative of x*p**3 - 109 + 109 + q*p wrt p.
18*p
Let v(k) = 4*k**2 + 7*k + 3. Let p be v(-2). Suppose p*h = -4*h + 63. What is the second derivative of -8*g - 2*g - h*g + 11*g**5 wrt g?
220*g**3
Let c = 18 - -191. Let y = c + -12. Find the third derivative of 97*u - y*u - u**2 + 16*u**4 + 100*u wrt u.
384*u
Let f(d) be the second derivative of -d**7/42 - 6*d**6 - 118*d**3/3 + 14*d. Find the second derivative of f(t) wrt t.
-20*t**3 - 2160*t**2
Let q(w) be the third derivative of w**5/30 - 313*w**4/8 - 178*w**3 - 2*w**2 - 989*w. Find the first derivative of q(b) wrt b.
4*b - 939
Let f be (-25)/(-35) - (-2)/7. Let u(v) = -7*v + v - 5 + f. Let w(d) = 1. Let z(b) = -u(b) - 3*w(b). Differentiate z(l) with respect to l.
6
Let z(p) be the second derivative of -p**6/15 + 28*p**5 + p**4/4 - 11*p**2/2 - 1842*p. What is the third derivative of z(j) wrt j?
-48*j + 3360
Let t be (-130)/(-8) + (-1)/4. Let u be ((35/4)/5)/(4/t). Find the second derivative of i**2 + u*i**2 - 37*i + 8*i**2 + 18*i wrt i.
32
Suppose 0 = f - 3*s + 5*s - 27, -5*s = -5*f + 60. Find the first derivative of -41*g**2 + 30*g**3 + 41*g**2 + f*g**3 - 17 wrt g.
141*g**2
Let c(q) be the second derivative of 1/15*q**6 - 21*q + 0*q**4 - 3 + 0*q**3 + 8*q**2 + 83/20*q**5. What is the first derivative of c(t) wrt t?
8*t**3 + 249*t**2
Let m(v) = 734*v - 1251. Let c(x) = -245*x + 412. Let g(a) = -7*c(a) - 2*m(a). What is the derivative of g(y) wrt y?
247
Let q(f) = 2*f - 1. Let p(i) = -60*i + 154. Let t(v) = 61*v - 152. Let k(x) = -2*p(x) - 3*t(x). Let r(j) = k(j) + 2*q(j). Differentiate r(y) with respect to y.
-59
Suppose -h = 2*v - 44, -4*v + 49 = -2*h - 31. Find the second derivative of 30*c**3 + 44*c - 3*c**5 - 2*c**3 + 41*c - v*c**3 wrt c.
-60*c**3 + 42*c
What is the second derivative of -102 - 209 - s + 3*s + 69 + 18*s**2 - 4*s - s**3 wrt s?
-6*s + 36
Suppose -1284 = -2*p + 4054. Suppose -13*b - 433 = -p. What is the first derivative of -338*a + 176*a + 19 + b*a wrt a?
10
Let d = -13 - -15. Let q(l) = l**3 - 9*l**2 + 6. Let k be q(9). Find the third derivative of -19*p**k - 46*p**2 + 21*p**d + 18*p**2 wrt p.
-2280*p**3
Let o(y) be the third derivative of -2011*y**7/210 - y**4/24 + 985*y**3/3 + 4*y**2 - 698*y. Find the second derivative of o(d) wrt d.
-24132*d**2
Let v(z) be the third derivative of 103*z**4/2 + 361*z**3/2 - z**2 + 87. Find the first derivative of v(d) wrt d.
1236
Suppose c = 4*a - 11, 4*a + 0*c + 7 = -5*c. Let d be 0 + a/(3*(-4)/(-24)). Find the third derivative of -4*x**2 + 7*x**4 + 6*x**4 - d*x**4 + 2*x**2 wrt x.
216*x
What is the second derivative of 18603*l + 21*l**3 + 63*l**2 - 8948*l - 5*l**3 wrt l?
96*l + 126
Let h(u) be the first derivative of 0*u**3 + 35/2*u**2 + 81 + 0*u + 67/4*u**4. What is the second derivative of h(q) wrt q?
402*q
Suppose 3*x - 59 = 7. Suppose 5*o + 5*a = 15, -3*a + 4 = 2*o - 1. Find the third derivative of -83*r**2 + x*r**o + 108*r**2 - r**4 wrt r.
504*r
Let g = 175 - 129. What is the second derivative of -5*c + 2*c + 21*c**5 + 20*c**5 + 4 + 37*c**4 - g*c**5 wrt c?
-100*c**3 + 444*c**2
Let d(c) = 56*c**2 + 77*c**3 - 51*c**3 + 6*c**3 + 6 + 148 + 108*c**3. Let l(q) = -q**3 + q**2 - 1. Let t(w) = d(w) - 56*l(w). Differentiate t(n) wrt n.
588*n**2
Let s(o) = 14*o**3 + 12*o**2 - 4*o + 2550. Let p(z) = 28*z**3 + 28*z**2 - 9*z + 5099. Let c(j) = 4*p(j) - 9*s(j). What is the first derivative of c(y) wrt y?
-42*y**2 + 8*y
Let k(n) be the first derivative of 1647*n**5/5 + 5*n**4/4 + 49*n**3/3 + 7*n**2/2 + 2*n + 12120. What is the third derivative of k(s) wrt s?
39528*s + 30
What is the third derivative of -2*k + 0*k - 209*k**2 - 6481*k**6 - 188*k**2 - 6*k + 417*k**2 wrt k?
-777720*k**3
Let h(w) = 2524*w**4 + 24*w**3 + 16*w**2 + 4*w + 108. Let s(q) = 3*q**3 + 2*q**2 + 1. Let m(v) = h(v) - 8*s(v). What is the second derivative of m(z) wrt z?
30288*z**2
Differentiate -2926*c**4 + 34199680*c - 3241 - 34199680*c with respect to c.
-11704*c**3
Let r = -40 - -45. Suppose -19 = -r*o + 3*w, -4*o - 5*w - 3 = 4. What is the second derivative of -3*g + 5*g + o*g - 8*g**5 wrt g?
-160*g**3
Let s = -42 + 88. Let f be 5*4/(-5)*16/(-32). Find the third derivative of 23*a - 4*a**4 + 16*a**f + 23*a - s*a wrt a.
-96*a
Suppose 8 = g + 4*p, 1 = -g + 3*p - 5. Let w(u) be the second derivative of -11/2*u**2 + 1/12*u**4 + 0*u**3 + 8*u + g. Find the first derivative of w(b) wrt b.
2*b
Let x(h) = -182*h - 175. Let n(q) be the third derivative of 181*q**4/24 + 88*q**3/3 - 256*q**2. Let z(b) = -5*n(b) - 6*x(b). Differentiate z(m) wrt m.
187
What is the second derivative of 2 + 6*w**3 - 21*w - 375*w + 31*w + 16*w**5 + 1 + 6*w**5 wrt w?
440*w**3 + 36*w
Let f(h) be the first derivative of -12 + 0*h**3 - 94/5*h**5 + 0*h**2 + 129*h + 0*h**4. What is the first derivative of f(k) wrt k?
-376*k**3
Let x(v) = -47*v - 83. Let y(k) = -21 - 12 - 11*k - 10 - 12*k. Let a(u) = -2*x(u) + 5*y(u). What is the first derivative of a(j) wrt j?
-21
Let x(f) = 3906*f**2 - 2211*f. Let t(k) = -1301*k**2 + 736*k. Let u(r) = -17*t(r) - 6*x(r). Find the second derivative of u(n) wrt n.
-2638
What is the first derivative of -483*g + 10435 + 201*g + 282*g + 3431*g**2 wrt g?
6862*g
Let h(q) = -473*q**5 + 2*q**4 - 106*q - 2. Let j(w) = -471*w**5 + 2*w**4 - 106*w
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {c: 1, n: 1, p: 1, y: 1, w: 2, q: 1}.
1/420
What is prob of sequence fxxf when four letters picked without replacement from {f: 5, x: 8}?
28/429
Four letters picked without replacement from zwviviiaxaiiaziiv. Give prob of sequence wixa.
1/2720
Calculate prob of sequence cr when two letters picked without replacement from nnrvc.
1/20
Two letters picked without replacement from {j: 2, s: 2, a: 1, e: 1}. What is prob of sequence es?
1/15
Four letters picked without replacement from {w: 5, x: 8, z: 3}. Give prob of sequence xwwz.
1/91
Calculate prob of sequence bv when two letters picked without replacement from vbcabvpbpbbv.
5/44
Two letters picked without replacement from lplplllllwlwpllnlnll. What is prob of sequence ll?
39/95
Two letters picked without replacement from rrtxq. What is prob of sequence rt?
1/10
Two letters picked without replacement from {k: 1, s: 2, f: 1, e: 3}. Give prob of sequence ek.
1/14
Calculate prob of sequence ttjt when four letters picked without replacement from ttttttttttttjttttjt.
5/57
Two letters picked without replacement from raunnnanw. Give prob of sequence na.
1/9
Four letters picked without replacement from {u: 2, c: 6, n: 3, l: 6, e: 2}. Give prob of sequence elec.
1/1292
Three letters picked without replacement from {h: 1, q: 1, e: 1, z: 1, g: 1}. Give prob of sequence ezq.
1/60
Four letters picked without replacement from {i: 6, r: 2, d: 2, x: 3}. Give prob of sequence rixx.
3/715
Calculate prob of sequence wwu when three letters picked without replacement from {u: 3, w: 4}.
6/35
Three letters picked without replacement from {t: 1, j: 2, m: 10, e: 3}. Give prob of sequence emj.
1/56
Two letters picked without replacement from {r: 3, l: 2, d: 3, j: 3, s: 1, o: 1}. What is prob of sequence dd?
1/26
What is prob of sequence xji when three letters picked without replacement from xjiijjxjij?
1/24
What is prob of sequence egge when four letters picked without replacement from gsggsggee?
5/378
Three letters picked without replacement from vvvvvmvvvmvmcccvvv. What is prob of sequence vmv?
11/136
What is prob of sequence mbcm when four letters picked without replacement from obmmssmmcbmobmb?
1/273
Two letters picked without replacement from thtwx. Give prob of sequence wh.
1/20
Two letters picked without replacement from dhdhbdhdhba. What is prob of sequence dh?
8/55
Calculate prob of sequence hjm when three letters picked without replacement from {s: 1, h: 1, m: 2, j: 9}.
3/286
What is prob of sequence su when two letters picked without replacement from {s: 3, m: 1, t: 2, v: 5, r: 3, u: 1}?
1/70
What is prob of sequence waww when four letters picked without replacement from wawwwwwwwwwwwwwwaw?
14/153
Calculate prob of sequence wg when two letters picked without replacement from gwggwgwzggig.
7/44
What is prob of sequence btbb when four letters picked without replacement from {b: 17, t: 3}?
2/19
Calculate prob of sequence ma when two letters picked without replacement from maaatajaatajjajmja.
1/17
Calculate prob of sequence cir when three letters picked without replacement from {c: 5, i: 6, r: 2}.
5/143
Two letters picked without replacement from {w: 2, z: 2}. What is prob of sequence wz?
1/3
What is prob of sequence qqe when three letters picked without replacement from {q: 5, p: 1, e: 12}?
5/102
Calculate prob of sequence rrr when three letters picked without replacement from zrrrzrzzzrzzrr.
5/52
Two letters picked without replacement from {t: 8, u: 2, y: 1, d: 5, g: 1}. Give prob of sequence uy.
1/136
Calculate prob of sequence wuju when four letters picked without replacement from {e: 1, g: 1, u: 5, w: 3, j: 1}.
1/132
Three letters picked without replacement from {j: 4, l: 6, m: 2, f: 1}. Give prob of sequence fll.
5/286
Four letters picked without replacement from {e: 1, p: 8, g: 5, q: 2, r: 3}. What is prob of sequence prrp?
7/1938
What is prob of sequence ji when two letters picked without replacement from jitjtjj?
2/21
Two letters picked without replacement from owwuuuwuwuuwwoo. What is prob of sequence uo?
3/35
Two letters picked without replacement from zzjjjzzzzjz. Give prob of sequence jz.
14/55
What is prob of sequence ov when two letters picked without replacement from {v: 2, p: 1, x: 1, h: 5, o: 1}?
1/45
Calculate prob of sequence hzh when three letters picked without replacement from pppzphppzthhhz.
3/182
Calculate prob of sequence aja when three letters picked without replacement from {j: 5, a: 3, p: 5}.
5/286
Four letters picked without replacement from jrbvr. Give prob of sequence rvjr.
1/60
Two letters picked without replacement from yeiqyyyypi. What is prob of sequence ey?
1/18
What is prob of sequence uy when two letters picked without replacement from {y: 4, u: 7}?
14/55
Four letters picked without replacement from evcevc. Give prob of sequence ecev.
1/45
What is prob of sequence lkmd when four letters picked without replacement from {y: 1, m: 4, q: 3, k: 4, d: 5, l: 1}?
1/918
Three letters picked without replacement from dwdwwwdwdwwd. Give prob of sequence wwd.
7/44
Three letters picked without replacement from {k: 1, y: 1, n: 2, c: 1, t: 1, m: 1}. Give prob of sequence cyt.
1/210
What is prob of sequence sds when three letters picked without replacement from {s: 2, d: 3}?
1/10
Calculate prob of sequence uc when two letters picked without replacement from cuu.
1/3
Four letters picked without replacement from {b: 2, n: 3, e: 4, o: 3, t: 1, k: 3}. Give prob of sequence kebt.
1/1820
What is prob of sequence cct when three letters picked without replacement from {c: 4, x: 1, v: 1, t: 4}?
1/15
What is prob of sequence aat when three letters picked without replacement from ttfaafafifff?
1/110
What is prob of sequence txzx when four letters picked without replacement from ztzzxzppxpxpxt?
4/1001
What is prob of sequence qb when two letters picked without replacement from bbdbdbbcddq?
1/22
Two letters picked without replacement from upuuuuuuuupu. Give prob of sequence pu.
5/33
Two letters picked without replacement from {e: 2, t: 4}. Give prob of sequence tt.
2/5
What is prob of sequence se when two letters picked without replacement from {n: 1, e: 1, s: 1, y: 6}?
1/72
What is prob of sequence bwb when three letters picked without replacement from wbbbbbbbbwbwwbbbbb?
91/612
Calculate prob of sequence wf when two letters picked without replacement from {s: 2, x: 1, p: 1, t: 1, w: 1, f: 1}.
1/42
Calculate prob of sequence wti when three letters picked without replacement from iwkkkkuwikituik.
4/1365
Four letters picked without replacement from {y: 11, z: 3}. What is prob of sequence yyzy?
45/364
What is prob of sequence qqyz when four letters picked without replacement from xooqxqxyqzo?
1/1320
Calculate prob of sequence xk when two letters picked without replacement from xwkxwww.
1/21
What is prob of sequence gf when two letters picked without replacement from ggffggmfg?
5/24
Three letters picked without replacement from {j: 7, d: 1, x: 1, q: 3}. What is prob of sequence qjj?
21/220
Calculate prob of sequence pxp when three letters picked without replacement from {x: 2, z: 2, p: 9}.
12/143
What is prob of sequence zjjj when four letters picked without replacement from zzzzzzjjjzj?
7/330
Two letters picked without replacement from {g: 8, c: 2, j: 5}. Give prob of sequence gc.
8/105
Three letters picked without replacement from {e: 17, p: 3}. Give prob of sequence ppe.
17/1140
Four letters picked without replacement from zzqqpzqwrr. Give prob of sequence rzrp.
1/840
What is prob of sequence zxxz when four letters picked without replacement from {z: 15, x: 3}?
7/408
Two letters picked without replacement from {r: 2, s: 10}. What is prob of sequence ss?
15/22
Two letters picked without replacement from jpjpvpjjujpjjyp. What is prob of sequence pp?
2/21
Two letters picked without replacement from peoocdqcqccqqqce. Give prob of sequence ce.
1/24
Four letters picked without replacement from wpppwpppppppwppwwpp. What is prob of sequence wppp?
455/3876
What is prob of sequence fgbp when four letters picked without replacement from {g: 4, f: 1, p: 2, b: 1}?
1/210
Four letters picked without replacement from {z: 1, g: 1, k: 2, v: 1}. What is prob of sequence gvkk?
1/60
Two letters picked without r
|
{
"pile_set_name": "DM Mathematics"
}
|
*k + 1. Let o(x) = -6*x**2 + 3*x. Let i(s) = 4*a(s) - 7*o(s). Determine i(-4).
-8
Let q(v) be the first derivative of -v**5/120 + 3*v**4/8 - 7*v**3/3 - 16. Let a(k) be the third derivative of q(k). Give a(0).
9
Let n(z) be the third derivative of -z**4/12 + 2*z**2. Let x be ((-6)/(-12))/((-1)/(-2)). Suppose -2*b + q + 10 = 0, 2*q = -3*b - 0*q + x. Give n(b).
-6
Let i(v) = 9*v**2 - 8*v**2 - 1 - v**3 + 2*v**3 + 3*v - 4*v**2. Determine i(3).
8
Let i(o) = -2*o**2 - 7*o - 3. Let c(t) = 4*t**2 + 1. Let y(u) = c(u) + i(u). Give y(4).
2
Let h(p) = p**2 + 7*p - 4. Let x(a) = 5*a + 191. Let n be x(-39). Determine h(n).
-16
Suppose -2*o - 13 - 1 = 0. Let r(q) = q**3 - q**3 - 8*q**3 - 6*q**2 - 9 + 4*q + 10*q**3 - 3*q**3. Calculate r(o).
12
Let y(n) = -11*n**2 + n + 22. Let v(s) = -4*s**2 + 8. Let z(o) = -8*v(o) + 3*y(o). Let f(k) = k - 1. Let p be f(6). Suppose -5 = -2*d + p. Give z(d).
-8
Let i(c) = -4*c**3 + c**2 - 4. Let w(m) = 9*m**3 - 3*m**2 + m + 8. Suppose -5*v + 15 + 0 = 0. Let q be v/2*14/3. Let y(r) = q*i(r) + 3*w(r). Give y(-4).
16
Suppose 4*j = -2*t + 18, 0 = 4*t - 2*j + 2 + 2. Let r(b) = -8*b**3 - b**2 + 1. Give r(t).
-8
Let m be 14/(-42) + (-160)/6. Let h = m + 30. Let g be ((-1)/h)/(1/9). Let r(p) = 2*p**2 + 4*p + 1. Determine r(g).
7
Let p(r) = 2*r - 3*r + 7 + 0*r + r**2. Suppose 6*y - 5*y = 2. Let m = y + -2. Determine p(m).
7
Let x = 72 - 83. Let f(r) = 2*r + 20. Calculate f(x).
-2
Let u be -4 - 20/(-4)*2. Suppose -3*s = t - 5, -u = -0*s - 2*s - 2*t. Let z(j) = -j + 2*j + 1 + j. Calculate z(s).
3
Let a(k) be the first derivative of k**2 + 4*k + 16. Suppose 0*i + 3*i - 3 = 0, 17 = 3*c - i. Calculate a(c).
16
Let x(j) = -2*j - 18. Let f be (57/38)/((-6)/56). Calculate x(f).
10
Let g(v) = -v - 7. Let b(y) = y - 5. Let u be b(3). Let q = -4 + u. Give g(q).
-1
Let k(a) = -11*a**3 + 11*a**2 + 6*a + 4. Let b(i) = -24*i**3 + 24*i**2 + 13*i + 8. Let x(h) = -6*b(h) + 13*k(h). Give x(2).
8
Let g = -25 - -27. Let w(b) = b**2 + 3*b. Let u(l) = -21*l**2 - 42*l. Let r(s) = -u(s) - 14*w(s). Give r(g).
28
Let x(v) = -v**2 + 6*v - 9. Let f(y) = -3*y**2 - 7*y - 4 + 4*y**2 - 2*y**2. Let g(h) = 2*h**2 + 17*h - 14. Let j be g(-9). Let n be f(j). Determine x(n).
-9
Let l(x) = -x**2 + 3*x - 2. Suppose 110*h - 118*h = 16. Determine l(h).
-12
Let y(z) = 2*z**2 + 1. Let l(g) = 15*g**3 + 8*g**2 - 2*g + 3. Let d(p) = -l(p) + 4*y(p). Give d(-1).
14
Let o = -12 + 17. Let c(b) = o*b + b + 8*b. Suppose 0 = 9*s - 2 + 11. Determine c(s).
-14
Let a(b) = b**2 - 4*b + 1. Suppose 2*z - 16 = -2*p, -3*p - p = -4*z - 8. Let m be 68/14 + p/35. What is a(m)?
6
Let t(k) be the second derivative of 1/360*k**6 + 1/2*k**3 - 5/24*k**4 + 0 + 1/40*k**5 + 0*k**2 - k. Let l(r) be the second derivative of t(r). Give l(-4).
-1
Let r(q) = q**2 + 31*q + 11. Let j(t) = 2*t**2 + 56*t + 21. Let f(b) = -4*j(b) + 7*r(b). Suppose 2*z + 3 = -c, 3*c - c = -z - 9. Give f(c).
3
Let z(f) = -2*f**2. Suppose 4*g - 6 = 5*q + 4, -3*q = 5*g - 31. Suppose -4*s + g*b = 9, -5*s + 3*b - 3 = 5. What is z(s)?
-2
Suppose -3*o + 8 + 4 = 0. Let i(f) = -7*f + o*f**3 + 0 + 1 + 5*f. Give i(1).
3
Let x(i) = 9*i - 13*i + 7*i + 38 - 31. Determine x(-5).
-8
Let s(d) = 2*d**2 + 15*d + 19. Let a be s(-5). Let g(z) = -z**2 - 5*z - 5. What is g(a)?
-11
Let z(y) be the second derivative of y**3/6 + 7*y**2/2 + 2*y. Let s = 1 + 6. Let r(w) = 4*w + 21. Let c(x) = s*z(x) - 2*r(x). Give c(4).
3
Let k = 85 - 90. Let c(t) = -t**3 - 4*t**2 + 5*t + 3. Give c(k).
3
Let i be ((-38)/95)/((-4)/(-10)). Let k(q) be the first derivative of 7*q**4/4 - 2*q**3/3 - q**2 - q + 1. Determine k(i).
-8
Suppose 5*r - 4*w = -24, w - 4 + 3 = 0. Let u(b) = -b**3 - b**2 + b - 1. Let m(l) = 3*l**3 + 5*l**2 - 6*l + 5. Let j(d) = r*u(d) - m(d). What is j(2)?
7
Let r(x) = 288*x**2 - 57*x + 57. Let b(a) = -35*a**2 + 7*a - 7. Let d(j) = 33*b(j) + 4*r(j). Give d(-4).
-63
Let w(u) = -2*u**2 - 22 + u**2 - 3*u + 25. Suppose -18*i = -15*i + 9. Give w(i).
3
Suppose 41*o = 36*o. Suppose 0 = r - 4*i - 23, o*r + 3*i + 24 = 3*r. Let a(j) be the first derivative of -j**2/2 + 4*j + 1. Give a(r).
1
Let j be (2/(-15)*-5)/((-1)/(-3)). Let l be ((-1)/j)/(7/(-14)). Let c(r) = -7*r. Calculate c(l).
-7
Let o(x) = 3*x - 1. Let m be (-10)/(-4) + ((-3)/(-6))/1. Give o(m).
8
Let j(r) = -r**2 + 11*r - 10. Let o(s) = 2*s**2 - 22*s + 21. Let i(g) = 5*j(g) + 3*o(g). Determine i(10).
3
Let z(r) = r**2 - 5*r. Suppose t = 2*t - 0*t. Suppose t*a - a + 5 = 0. Calculate z(a).
0
Let c(k) be the first derivative of -k**4/4 + k**3/3 - k**2/2 - 4*k + 1. Suppose 154*o = -48*o. What is c(o)?
-4
Let y = 2331 - 2343. Let d(o) = o**2 + 13*o + 16. Calculate d(y).
4
Let v(f) = f**2 - 7*f + 6. Let s(x) = -7*x**2 + 20*x - 25. Let i(o) = 3*o**2 - 10*o + 13. Let w(a) = 5*i(a) + 2*s(a). Let n be w(9). Calculate v(n).
0
Let z = 89 - 56. Let a = 38 - z. Let m(k) = -k**2 + 2*k + 2. Determine m(a).
-13
Let j(a) = -a + 2. Let l(c) = 3*c - 2. Let r(n) = 2*n - 1. Let o(m) = 4*l(m) - 5*r(m). Let b(g) = -3*j(g) - 2*o(g). Give b(8).
-8
Let i(j) = 24*j + 2. Let s be i(1). Let z = 41 - s. Suppose z = 3*u - 0*u. Let b(t) = t**3 - 6*t**2 + 4*t. Give b(u).
-5
Let o(z) = -5*z + 5. Let w be (2/(-3))/((10/33)/5). Let s(c) be the third derivative of 7*c**4/12 - 5*c**3/2 + c**2. Let q(k) = w*o(k) - 4*s(k). Calculate q(4).
1
Suppose 48*m = 54*m - 36. Let s(t) = 11*t + 4. Determine s(m).
70
Let y(l) = -l**3 + 5*l**2 + 10*l - 14. Suppose 0 = -11*r - 42 + 119. Calculate y(r).
-42
Let n(r) = -13454 + r + 13454. What is n(5)?
5
Let m(g) = -3*g + 6. Let i = -50 - -50. Suppose -5*d + 5*j - 50 = 0, -2*d - 3*d - 3*j - 26 = i. Give m(d).
27
Let x(o) = 3*o + 12 + 5 - 9. Give x(-4).
-4
Let u(w) = -w**2 + 1. Let y(p) = p**2 + 5*p + 7. Let v be y(-3). Let o(l) = 4 + v + 4*l + 5*l**2 - 7. Let z(m) = -o(m) - 4*u(m). What is z(-4)?
-2
Let q be 1/(3 - (-33)/(-12)). Suppose 6 + 14 = q*n. Let d(r) = -r**2 + 6*r - 4. Let o be d(n). Let l(g) = g. What is l(o)?
1
Let o(h) = -145*h**2 + 7*h - 5 - 3*h**3 + 4*h**3 + 138*h**2. Suppose 0*a + 4 = 5*a - 3*k, 2*a - 2*k = 0. Suppose v - a*v + 3*t = -15, 4*t = -12. Give o(v).
1
Let s(h) = 6*h - 9. Let m = 167 + -160. Give s(m).
33
Let p(b) = 6046*b**2 - 2 - b - b**3 - 6043*b**2 + 5. Calculate p(3).
0
Let h be (-4)/20 - 52/(-10). Let x(k) be the first derivative of k**2 + k - 10 + 8 + h*k + 6. Calculate x(-6).
-6
Let r(q) be the third derivative of q**4/6 - 2*q**3/3 - 2*q**2 - 18*q. Give r(3).
8
Let j(f) = -f**2 - 4*f - 3. Let r be j(-3). Suppose -5*n + 4*t = -51, r = -2*n + t + 10 + 8. Let m(x) = n - 3*x + x + 3*x + 0*x. What is m(-5)?
2
Let p(w) = -45*w**2 - w. Let z(f) = 226*f**2 + 6*f. Let h(i) = -11*p(i) - 2*z(i). Calculate h(-1).
44
Let d(c) = -5*c - 16. Let j be d(-4). Let v be (-24)/(-18)*-3 - j. Let g(z) = -z**3 - 7*z**2 + 10*z + 6. Determine g(v).
-10
Suppose -3*b - f = -5*b - 15, -3*f - 27 = 2*b. Let v be ((-42)/b)/((-2)/6). Let r = 11 + v. Let k(a) = -2*a - 2. Give k(r).
4
Suppose -2*o - 5*w + 11 = 0, 0 = -o - w + 4*w - 22. Let p = o + 7. Let c(i) = -i**2 - 2. Determine c(p).
-2
Suppose 0*n + 6 = 2*n. Let o(r) be the first derivative of -r**2/2 - r + 118. What is o(n)?
-4
Suppose 2*p + o + 6 = 0, -4 = 4*p - 5*o + 3*o. Let c(k) = k**2 + k + 1. Let d be c(0). Let z(r) = d - 2*r + r - r. Calculate z(p).
5
Let l = 5 + 0. Let k(t) = -16 + l*t - 2*t + 6*t + 5. Let a(v) = 3*v - 4. Let u(j) = -8*a(j) + 3*k(j). Calculate u(-1).
-4
Let q(c) = -7*c + 7. Let j be q(-3). Let z(m) = 2*m**2 + j + 3*m**2 - 6*m**2 - 25. Give z(-3).
-6
Let s(a) = 5*a**2 + 50*a - 49. Let g be s(1). Let u(n) = 7*n - 27. What is u(g)?
15
Suppose 2*m + 2*m + 32 = -4*d, -4*m - 2 = -d. Let k(b) = 8*b + 163. Let o(f) = -f - 18. Let w(p) = -2*k(p) - 18*o(p). Calculate w(d).
-14
Let k(s) = -s**3 - s**2 + 2. Let t be (-22)/(-5) + (-4)/10. Let j be (3/3)/t*4. Suppose 3*h - 3 = -4*z + j, -2*z = -4*h - 2. What is k(h)?
2
Let t(o) be the second derivative of -o**4/12 - o**3/2 - 5*o**2/2 - 959*o. Suppose -f - 5 = 2*y, -y + 2 = f + 7. What is t(f)?
-15
Let h be (-2 - 0 - -3)*2. Suppose 0*l = -h*l + l. Let j(r) = r**3 + r**2 + r - 19. Calculate j(l).
-19
Let t(r) = 2*r**2 + 2*r + 3. Let s(w) = -23*w + 4. Let m be s(0). Calculate t(m).
43
Let x(w) = -6*w**3 - 4*w**2 - 6*w + 9. Let v(s) = -s**3 - s + 2. Let y(u) = -5*v(u) + x(u). What is y(-5)?
29
Let c
|
{
"pile_set_name": "DM Mathematics"
}
|
1) + 1). Suppose -8 = x + 2*b - 1, -2*x + 3*b = 7. Let h be 12 + 35/x + 2. Solve f*d + 15 = 5*l - 8, 5*d + l + h = 0 for d.
-2
Suppose 0 = -57*m + 60*m - 4*j + 13, 3*j + 4 = 5*m. Solve -4*n - m*f = -24, n - 5 = 11*f - 12*f for n.
1
Let d be 3 - 2*((-3)/(-2) - 3). Let a(n) = -d*n + 8*n + n**2 - 3*n - 20. Let y be a(5). Solve 2*q = -x, y = 3*x + 3*q - 4 - 2 for x.
4
Let g(m) = m**3 + 5*m**2 + 3*m. Let u(i) = i**3 + 3*i**2 + 3*i - 2. Let n be u(-2). Let v be g(n). Solve h - 17 = v*d, 14 = 5*d - 3*d + 4*h for d.
-3
Suppose 0 = 3*n + v - 66 + 48, 4*v = 4*n + 8. Solve n*d = -2*g - 7 + 15, 5*g = -4*d + 26 for d.
-1
Suppose 0 = f - x, -8 = -4*x + 12. Suppose -5*q - 4*o = -72, -2*o = -2*q + 1 + 17. Suppose -q*m + f = -11*m. Solve -m*b + n - 21 = 0, 3*n - 7 = b - 0*n for b.
-4
Suppose -r - 17*r + 90 = 0. Suppose -2*q = -q - 3, 0 = r*j + 5*q - 25. Solve 2*h - 4 = 2*d, -j*d - 3*d = -h - 6 for h.
4
Suppose -20 = 4*b, 10 + 11 = 2*f - 3*b. Solve 5*o - 19 = f*s, 4*s = s - 5*o + 1 for s.
-3
Let p be -6*2/4 + -9. Let r = p + 17. Let w(x) = -x**3 + 6*x**2 - 2*x - 7. Let a be w(r). Solve -3*v + a = u, -4*v + 10 = -u + 4 for v.
2
Suppose 5*f - 32 = 2*v, -2*f - v = -9 - 2. Solve -2*c - 4*j = f, -3*c - j - 2*j = 0 for c.
3
Suppose 211*j - 672 = -728 + 1744. Solve -3*t + 28 - 16 = -3*c, -3*c - t = -j for c.
1
Suppose 3*w - 4*k - 36 = 0, -240*w + 236*w - 2*k + 92 = 0. Solve 2*x + 3*d + w = -3*x, x = -5*d - 4 for x.
-4
Suppose 23*f - 21*f - 20 = 0. Let y = 31 - f. Let c be 9/21 - (-54)/y. Solve 4*h - 5 = -l, 3*h - c = -2*l + l for h.
2
Let j be -4 + 152/36 - 6/27. Suppose 0*r + r + 3 = j, 4*c - 2*r = 50. Solve -5*i - z + 23 = 0, -z + c = i + i for i.
4
Suppose 0*m = -3*t - m + 9, -2*t = -2*m + 2. Solve 2*p = -t*d + 2, -5*d = 2*p - 3 + 4 for d.
-1
Let i = 288 - 285. Suppose 3*z + 2*h = 9, 10 - 13 = -i*z - 4*h. Solve f + 0*f = -4*l + 7, -z = 4*l - 3*f for l.
1
Let f = -308 - -548. Let d be (-1)/((-3)/(-5))*f/(-200). Solve 2*z = -c + d*c - 4, 3*z - c + 8 = 0 for z.
-4
Let n = -15898 - -15913. Solve 8*a + 3*o - n = 6*a, 0 = -o + 3 for a.
3
Suppose -192*u - 200*u - 63 = -413*u. Solve s = -24 + 21, -u*p + s - 12 = 0 for p.
-5
Let l(n) = -n**3 - 9*n**2 - 20*n - 3. Let g be l(-11). Let h = -451 + g. Solve -w + 17 = -5*c, -w = -2*c - 0 - h for c.
-3
Suppose -4*u + 16 = 0, -4*a + 3*u = -4 - 12. Solve 0 = -4*t - 2*l + 6, -3*t = -a*t + 5*l + 27 for t.
3
Let z(g) = 4*g**3 + 46*g**2 - 43*g - 224. Let s be z(-12). Solve -12 = -3*f + f - 10*w, -3*f - s = 4*w for f.
-4
Let b = -4694 - -4697. Solve -4*j - 26 = b*m, 0 = 3*m + 2*j - 0*j + 22 for m.
-6
Suppose 3*x + 60 = -4*d + 39, -4*d = -3*x + 51. Solve -114*r = 4*o - 112*r, 3*o + 7 = -x*r for o.
1
Let a(f) = f**2 + 30*f - 616. Let t be a(14). Let b be (-56)/(-10) - (1 + 21/(-15)). Solve -2 - 13 = -3*d - 2*k, -d + 3*k - b = t for d.
3
Let z be (-128)/(-384) - (-191)/3. Suppose -z*n + 40*n + 120 = 0. Solve 5*g + 3 = -q, n*g - 4*q + 0*q + 13 = 0 for g.
-1
Let n(c) = -2*c**2 - 125*c + 195. Let f be n(-64). Solve 0 = -4*h + 5*d + 2 + 21, -f*h = -5*d - 21 for h.
2
Let n = 6653 + -6651. Solve -n*k - 2 = 2*g, 5*g + 72 - 31 = 4*k for g.
-5
Let j = -16454 + 16459. Solve -j*t + 7*t + 2*x - 14 = 0, 0 = 2*t + x - 10 for t.
3
Let l be 2*((-133)/14 + 12). Solve 3*y + 11 = -l*a + 16, 3*a + 3*y = -3 for a.
4
Let l be ((-1309)/(-33) + -39)/((-4)/(-66)). Solve p + 13*h - l*h = 6, 4*p - 5*h + 28 = 0 for p.
-2
Suppose -6*n - 35 = -5*n. Let a = -29 - n. Let m = -3 + a. Solve 0 = m*w + 3*g + 21, 5*w - w + 5*g = -31 for w.
-4
Let j be (15/(-10))/(1/(-36)). Let q = j - 24. Solve 5*p - q = 5*a, 3*p - 8 = -a + 2*a for p.
1
Let f be 6457/99 - (14/(-18) + 1). Let s = 66 - f. Solve 4*r - 5*n = s, 0*n - 3*n + 9 = 0 for r.
4
Suppose z - 16*z + 30 = 0. Suppose -z*y - 4 = w, w + 3*y = -4*w + 1. Solve -2*v - l + 3*l = w, 3 = -3*v - 4*l for v.
-1
Suppose -3 - 1 = -m. Suppose -5*l = 5*r + 7 - 27, -3*r - 2 = -m*l. Suppose 181*g - 1164 - 284 = 0. Solve 0 = -2*q - q - 15, 0 = 2*c - l*q - g for c.
-1
Let g(d) = d**3 + d**2 + 8. Let u be g(0). Let a = -203 - -206. Suppose 0*f + 3*f - 18 = -a*v, -v = -5*f. Solve 0 = 2*i - v*k + 20, u = 3*i + 3*k - k for i.
0
Let k be (4 - ((-110)/3)/5) + 84/126. Let d = 3 - 1. Solve 5*y + s = y + 19, 2*s = d*y - k for y.
5
Let b(i) = i**3 - 20*i**2 + 23*i - 43. Suppose 0 = 11*j - 6 - 203. Let o be b(j). Solve -o = -r + 6*r + 4*q, 2*q = -4 for r.
-5
Let h(r) = -84*r - 80. Let w(o) = -17*o - 16. Let v(x) = 3*h(x) - 16*w(x). Let u be v(-7). Let g = u + 133. Solve 3*m = 5*z - 1, -g = 2*z + z - 5*m for z.
2
Suppose -2*z = 2*m - 6, -2*m + z + 17 = 2. Let x be 1/(1/2) - (15 - 14). Let l be (-2 - 0)/(4/(-10)). Solve f + m = l*r, -f - f = r + x for f.
-1
Let v(h) = h**2 - 2*h - 6. Let d = -44 - -46. Suppose -4*r - 2*n = 10 - 22, n = d*r - 10. Let c be v(r). Solve -p + 3*f + 4 = 0, -5 = -4*p + c*f + 11 for p.
4
Suppose -2*q + 4*h = -20, -q = h - 3 + 2. Suppose q*w + 11 = 2*t - t, 5*t - 3*w - 123 = 0. Suppose 280 = 16*c + 168. Solve -l + j = -2*l + c, t = l + 5*j for l.
2
Suppose 3 = -3*o, -9 = 11*d - 12*d + 5*o. Solve -d*i - 25 = 3*j, 3*j = 7*j + 4*i + 28 for j.
-3
Suppose 0 = 144*p - 98*p - 552. Solve 18*a = 22*a + p, a + 6 = -u for u.
-3
Let d(h) = -89*h**2 + 7*h + 14. Let b be d(-2). Let r = 360 + b. Solve v + 6 = -v, -r*v - 9 = -l for l.
-3
Let p(m) = -m**3 - 2*m**2 + 1. Let u be p(-1). Let o = -29 + 25. Let r be 8 + (-2 - o) + -5. Solve 16 = r*l - u*q - 3*q, -l = -q - 2 for l.
5
Let g = -2247 - -2251. Solve 0 = -2*o - 2*x + 8, 5*o + 2*x + g - 9 = 0 for o.
-1
Suppose 18*u - 1184 = -2*u - 1124. Solve 0 = -u*n + 2*p + 8, 5*n - 5*p - 32 = -12 for n.
0
Suppose -4*p = -5*y + 214, 21*y = 23*y + 4*p - 80. Let w(h) = h**2 + 38. Let l be w(0). Let r = y - l. Solve -j + 2 = t, 2*j + 0*j - r = 3*t for t.
0
Suppose -5*j = -15, -19 = 7*u - 8*u + j. Suppose -19*d = -u*d + 15. Solve 3*m + 20 + 2 = -d*q, -m - 14 = 3*q for q.
-5
Let o(c) = -2*c**2 + 20*c + 27. Let x be o(11). Solve -36*d + 15 = -38*d + p, 3*d + 2*p = -x for d.
-5
Let w(s) = s**3 - 9*s**2 + 15*s + 6. Let i be w(7). Let l = 22 - i. Solve 3 = g + r - 0, l = -5*g + 3*r for g.
0
Suppose -15*a + 35 = -25. Let l(i) = -10 - 3 - 5*i + a*i + 0*i. Let b be l(-13). Solve 5 = -5*u, b = -2*z - 0*u - 2*u - 12 for z.
-5
Suppose -2*q = -j + 11, 5*j - 12*q + 8*q = 61. Suppose j = 4*b - 3*h + 20, -5*b + 2*h = 0. Solve 0 = l + b*r - 3 - 3, 11 = -4*l - r for l.
-4
Suppose 129*f = -100*f. Solve -2*c = -b - 4*b + 1, 4*b + 2*c - 8 = f for b.
1
Let z be -13 + 4 - (0 - 2). Let t(n) = 7*n + 51. Let k be t(z). Solve 0 = 4*l - k*a - 10, -5*a - 3 = -3*l + 1 for l.
3
Let h be (3/2)/((-1929)/384 + 5). Let k = -62 - h. Solve 5*n - 10 = -5*l, -2 = 3*n - k*l - 8 for n.
2
Let q(z) = -z + 5. Let m be q(0). Let b = 738 - 713. Suppose -97 = -8*g - b. Solve 0 = -a - m*u - g, -u = a - 0*a + 1 for a.
1
Let p be (3 - (-4)/(-1)) + (9 - -2). Let y be (p - (7 - 7)) + 10/(-2). Solve -3*w - y = 2*w - r, 5*r = -w - 1 for w.
-1
Let t = 92 + -90. Suppose 5*p - 18 = m, 5*m - t*p - p = -2. Suppose 3*k - m*q = 54, q - 33 = -3*k - 4*q. Solve v - 14 = -3*v - 2*g, -k = -5*v - g for v.
3
Let x = 4738 - 4733. Solve -s + 0*s - 29 = x*b, 0 = -4*b - s - 24 for b.
-5
Let m = -84 + 138. Suppose -4*p = 2*p - m. Solve 0 - p = 3*z - 3*x, 0 = 4*z - 3*x + 7 for z.
2
Let r(x) = x**3 + 2*x**2 - 18*x - 13. Let d be r(-5). Suppose c - d = a, -2 = 5*c - 10*c + a. Solve b - 3*o = -12, c*b + 6 = 2*b + 4*o for b.
-3
Let a(n) = -2*n**3 + 38*n**2 - 26*n + 499. Let g be a(19). Solve -2*h - 4*c + 10 = -0*c, -5*h + g*c + 10 = 0 for h.
3
Let d(p) = -p**2 - 221*p - 1701. Let w be d(-8). Solve -i + w = t - 3*i, -4*i = 6*t - 18 for t.
3
Let u = -10196 - -10198. Solve -5*d - 3 = -u*v, 1 = -5*v + 10*d - 6*d for v.
-1
Let k = 1555 + -1546. Solve 0 = 5*j - 20, 3*j = -3*x - 0*j + k for x.
-1
Let y be ((-20)/12)/(10 - (-3285)/(-324)). Let g be 6/(-15) + (-17)/(-5). Solve -4*p = -4*i + y, 0*i = -4*i - g*p + 19 for i.
4
Let c(f) = 2*f**3 - 9*f**2 + 17*f - 19. Let v be c(3). Solve 0 = -5*l + 24*m - 27*m - 9, -l - 13 = -v*m for l.
-3
Let k = -764 + 788. Solve -10*l + 5*p = -8*l + 12, -l + k = 5*p for l.
4
Let h be 0 + 3 + 0/(-3 + 0). Suppose h*i - 25 = -4*r, 4*i + 5*r = i + 29. Solve 5*b = -i*a - 25, -4*b - 1 - 22 = 3*a for a.
-5
Let i = -85 + 89. Suppose 5*a - 10 = 2*a - 4*w, -i*a = 2*w -
|
{
"pile_set_name": "DM Mathematics"
}
|
y ((h*h/h**(1/2))**(-18)/(h**(-2/9)/h*h/(h**(4/9)*h)*h))**30 assuming h is positive.
h**(-790)
Simplify u**(-1)/u**(-9)*(u*(((u**(6/13)*u*u)/u)/u)/u)/u*u*u*u/(u/u**(2/13)) assuming u is positive.
u**(125/13)
Simplify (o**(-10)/o**(1/13))/(o*o**(-6/5)*o*o*o*o**(2/9)*o) assuming o is positive.
o**(-8248/585)
Simplify ((b/((b*b**(-1)*b)/b))/b**(5/2))/(b**3)**(-7) assuming b is positive.
b**(39/2)
Simplify (a*a**5*a**(-2/31))/((a/a**(3/11))/(a**(-14)/a)) assuming a is positive.
a**(-3339/341)
Simplify (b**(-28)*b**7)**(13/4) assuming b is positive.
b**(-273/4)
Simplify (p/p**(2/9)*p)**14*p*p**(2/7)/p*p**(-1/10) assuming p is positive.
p**(15797/630)
Simplify (z/z**(-4))/z**(6/13)*(((z*z**(1/3)*z*z)/z)/z*z)**(2/33) assuming z is positive.
z**(6023/1287)
Simplify ((a**(-2/27)*a**24)**(-3/10))**(-2/17) assuming a is positive.
a**(38/45)
Simplify (((i**(-1))**(-29))**(-3/11))**20 assuming i is positive.
i**(-1740/11)
Simplify ((a**9/a)/a)/(a*a**(-6))*(a/((((a/(((a*a**(-1))/a)/a*a))/a)/a)/a))/a**(-6/7) assuming a is positive.
a**(104/7)
Simplify (p**(-5)*p*p/((p*p*p**(-11)*p*p)/p)*p)/((p*p*p*p*((p*p/p**5)/p)/p*p*p*p)/p*(p*p**4/p*p*p*p)/p*p*p) assuming p is positive.
p**(-3)
Simplify (s**(2/5))**(3/7)*(s**(1/10))**(9/10) assuming s is positive.
s**(183/700)
Simplify u**(2/5)*(u/(u*(u**(2/9)*u)/u))/u*u*u**(3/13)/(u**13/u) assuming u is positive.
u**(-6781/585)
Simplify (k**2)**47/(k/k**4*k*k**(1/8)) assuming k is positive.
k**(767/8)
Simplify ((q**(-2/45)/q)**(1/23))**(-45) assuming q is positive.
q**(47/23)
Simplify r**(-21)*r**(-18)*r**(2/11)/r*r*r/(r**(-4/17)*r) assuming r is positive.
r**(-7215/187)
Simplify (j/((j*j*j**(-2/7)/j)/j)*j*(j**(-12)/j)/j)/(j/(j*(j*j**(2/11)*j)/j*j*j)*j)**19 assuming j is positive.
j**(2290/77)
Simplify (u/(u/(u*u**(-1/4)/u*u)))/(u**(-7/4)/u)*(u**(2/5))**(6/23) assuming u is positive.
u**(829/230)
Simplify ((w**(-2/9)/w)/(w*w**(4/3)/w))/((((w**6/w)/w)/w)/w*((w*w**(-8))/w)/w) assuming w is positive.
w**(40/9)
Simplify (l*l/l**(1/5))**20/(l/((l*l**(-2/7))/l)*(l*l*l*l*l/(l**(3/10)*l)*l)/l) assuming l is positive.
l**(2171/70)
Simplify ((g*g**(2/7)*g)/g**(2/5)*g**5*g*g**(-6/5)*g)**(34/9) assuming g is positive.
g**(9146/315)
Simplify (x/(x/(x**(-1/3)*x))*x)**(-3/8)*x**(-2/13)*x*x*x*x*x*x**(-4)*x assuming x is positive.
x**(127/104)
Simplify (((x*x**(2/27))**(40/3))**(-36))**12 assuming x is positive.
x**(-18560/3)
Simplify a**2/((a/(a*a**(1/15)))/a)*(a**(-2/13)*a)/(a/a**(1/3)) assuming a is positive.
a**(211/65)
Simplify x**9/x*x**6/x*(x/(x/(x*((x/(x/(x*x*x**(-2/3)/x)))/x)/x)))**(1/3) assuming x is positive.
x**(115/9)
Simplify (q**13)**0/((q**15/q)/q*q/((q**(1/16)/q)/q)) assuming q is positive.
q**(-255/16)
Simplify (n/(n/(n*n/n**(5/14))))/(n*(n*n**25*n)/n)*(n*(n*n/n**9)/n)**(3/13) assuming n is positive.
n**(-4909/182)
Simplify g**(-2/13)*g**4*(g*g*(g/(g*g**(-16)*g)*g)/g)/g**(3/5) assuming g is positive.
g**(1316/65)
Simplify (c*c**(-3)*c*c)**(2/61)/((c**(-1/13)*c)/c**(1/8)) assuming c is positive.
c**(-83/104)
Simplify z/z**(3/4)*z*z**17*(z*z**(-2))**(-3) assuming z is positive.
z**(85/4)
Simplify (c**(-6/7)*c**(-4/7)*((c/c**(-2/7)*c*c)/c)/(c**(-1/4)*c))**(-15) assuming c is positive.
c**(-45/28)
Simplify f*f**(-18/7)*f*f**17*f*(f/f**(2/3))/(f*f**32) assuming f is positive.
f**(-320/21)
Simplify f**12*f/(f/(f*f/(((f*((f*f**(2/17))/f)/f)/f)/f)*f))*(f/(f**15/f))/f*f/((f/f**(3/14))/f) assuming f is positive.
f**(975/238)
Simplify y*y/(y**12*y)*y**(-6/13)*(y/(y/y**32))/y**(2/47) assuming y is positive.
y**(12523/611)
Simplify (l*l/l**(-4/13))**(-6/23)/(l**0/l)**(-46) assuming l is positive.
l**(-13934/299)
Simplify ((c/(c*c**(-22)/c))**(5/8))**37 assuming c is positive.
c**(4255/8)
Simplify (c**(-2/9))**(-16)/(c**(-7/9)*c)**40 assuming c is positive.
c**(-16/3)
Simplify (((o**(-8)/o)/(o/(o/o**(-3/8))))/((o*o**(-1/6))/(o*o/((o/(o/(o*(o*o**(1/5)*o*o*o)/o)*o*o))/o*o)*o*o)))**(-1/13) assuming o is positive.
o**(919/1560)
Simplify ((w**(2/3)/w)**(-38)/((w/w**3*w)/(w**(2/43)*w)))**49 assuming w is positive.
w**(93002/129)
Simplify (g**(2/13)*g*g**(7/3))/(g*g**3)**17 assuming g is positive.
g**(-2516/39)
Simplify (((r/r**(-1/22))/r*r)/r**(-1/2))/((((r**0/r)/r)/r)/((r/r**(-17))/r)) assuming r is positive.
r**(237/11)
Simplify (d/d**(4/7))**(2/51)*(d**(-4))**(2/19) assuming d is positive.
d**(-914/2261)
Simplify v**4*(v**(-6)*v)/v*(v*v**(-2))**(-19/4) assuming v is positive.
v**(11/4)
Simplify (q**(-2))**(10/13)*(q**(-1/4))**(-31) assuming q is positive.
q**(323/52)
Simplify (((p/(p/p**(-1))*p)**(-34))**(1/5))**(3/8) assuming p is positive.
1
Simplify (y/(y**2/y))/(y**7/y)*(y/(y*(y*y**(-1/4))/y))**(8/7) assuming y is positive.
y**(-40/7)
Simplify (a**(2/17)/a*a)**(-3)/(a*a**10*a*a*a*a**0*a*a) assuming a is positive.
a**(-278/17)
Simplify (k**(-13)/k**1)/(k**(-3/4)/k*k/k**(3/2)) assuming k is positive.
k**(-47/4)
Simplify ((d/d**(2/13))/(d**(5/4)/d))/((d**(3/7)/d)/(d**(-8/5)/d)) assuming d is positive.
d**(-2607/1820)
Simplify (u**10*u)**28/(u/u**(-2/25))**36 assuming u is positive.
u**(6728/25)
Simplify s*s**1*s*s**(-4)*s**(2/29)/s*s**(-18) assuming s is positive.
s**(-578/29)
Simplify (n*n**18*n/(n/(n*n**(13/3)/n)))/(n/n**16*n**(-4/7)) assuming n is positive.
n**(817/21)
Simplify ((k*k**(-1))/k**(2/21))/(k/(k**(1/3)/k))**48 assuming k is positive.
k**(-1682/21)
Simplify (y/(y/((y**(1/4)/y)/y*y))*y**(-5/2))/((((y**(6/7)/y)/y*y)/y)/(y*(((y*y/y**(21/2))/y)/y)/y)) assuming y is positive.
y**(-353/28)
Simplify (n*n/(n*(n*n**(-2/13))/n))**(-1/8)*n/(((n*(n**(7/4)/n)/n)/n*n)/n*n)*n**(1/2)*n assuming n is positive.
n**(167/104)
Simplify (((o**3/o)/o**(-2))/(o**(4/3)/o**(2/13)))**(39/5) assuming o is positive.
o**22
Simplify (a**5*a*(a*a*(a*a/(a/(a**(-10)/a)))/a*a*a*a)/a)/((a*a/(a/a**12))/(a*a/a**(2/5))) assuming a is positive.
a**(-62/5)
Simplify (b/(b*b/b**(-1))*(b*b**(-19)*b)/b)/((b**(-1/2)*b*b)/b**8) assuming b is positive.
b**(-27/2)
Simplify (h**(-2/9)/h**5)/(h*h*h/((h/(h**(5/11)/h*h))/h)*h**(-5)) assuming h is positive.
h**(-364/99)
Simplify (r*r**(-1/3)/r)**(3/20)*r*r/(r**(1/19)/r)*r**(1/8) assuming r is positive.
r**(2297/760)
Simplify (((y*y/(y/(y*y**4*y)))/(y/y**(-11)))**(-1/18))**(12/13) assuming y is positive.
y**(10/39)
Simplify ((n*(n/n**(-35))/n)/n**(-2/7))**(1/77) assuming n is positive.
n**(254/539)
Simplify ((k**(2/3)/k)**26*(k**(-2/5))**(-2/27))**(-30) assuming k is positive.
k**(2332/9)
Simplify ((v*v**(-1/2))/v**(1/31))/((v**(-24)*v)/v**(-8)) assuming v is positive.
v**(959/62)
Simplify ((l**(-6)/l)/l*((l*l**(-7))/l)/l*(l*l**(-1/5))/l**(-12))**(-1/11) assuming l is positive.
l**(16/55)
Simplify (((m/m**1)/m**(-5))**(6/29))**(-2/157) assuming m is positive.
m**(-60/4553)
Simplify (((a*a**16)/(a*a/a**3))**40)**22 assuming a is positive.
a**15840
Simplify (s*s/s**(2/21))/(s**(1/13)*s)*(s/((s*(s/(s*s/(s/s**13)))/s*s)/s))**(-7/5) assuming s is positive.
s**(-25624/1365)
Simplify (i**(2/13)/(i/(i*i**(-1/12))))/((i*i**(-8))/(i/i**(-9))) assuming i is positive.
i**(2663/156)
Simplify (n*n*n*n*n**8*n**22)/(n**15/n**15) assuming n is positive.
n**34
Simplify (x/x**(-8)*x**(1/8))/((x/((x**(9/7)*x)/x))/x**(6/11)) assuming x is positive.
x**(6133/616)
Simplify (d/d**(-2))**(-4/19)/(((d*d/d**25*d)/d)/(d*d**(-2/29))) assuming d is positive.
d**(12838/551)
Simplify (((u/(u**(2/5)/u*u))/(u/u**(-1/4)))/(((u/((u/((u**(-2/3)/u)/u))/u))/u*u)/u**(1/3)))**(-6/19) assuming u is positive.
u**(-81/190)
Simplify (v*v**(-1/5))**41*v**(-3/11)/(v*v**(-2)*v) assuming v is positive.
v**(1789/55)
Simplify (j/(j*j**(1/11))*j)/j**16*(j*j**(-1/7)/j)**(28/9) assuming j is positive.
j**(-1538/99)
Simplify (x*x/x**(-7)*x**(-14)*x)/(x/x**(-1/8)*((x/(x*x**(-10)/x)*x)/x*x)/x) assuming x is positive.
x**(-129/8)
Simplify (a**(-1))**39/(a**(3/4)/(a/(a/(a*a/(a*a**3)*a)))) assuming a is positive.
a**(-163/4)
Simplify (g**(-22)*g*g)/(g*g**(2/13))*g**(-1/9)*g/((g/(g*g/(g**(-23)*g)*g))/g) assuming g is positive.
g**(554/117)
Simplify (((w/(w/(w/(w/(w*((w*w**(1/5))/w)/w)*w))*w))/w**(-3))**(-33))**22 assuming w is positive.
w**(-4356/5)
Simplify ((r**(-4)*r)/(r*r**10))/(r/((r*r/(r/((((r/r**(-2/3))/r)/r*r)/r*r)))/r)*r)**(-22) assuming r is positive.
r**(46/3)
Simplify (n**(-6/5)*n**(-3/5))/(((n*n*n**(5/6)*n*n)/n)/(n/n**(1/12))) assuming n is positive.
n**(-283/60)
Simpl
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Let b(t) = -9*t - 31. Let f be b(-4). Suppose -4*j = -0*j - 2*n, -4*j - f*n = 0. Solve j = -5*g - 10, 3*w = g + g + 16 for w.
4
Suppose -464 = 17*w + 96*w - 2724. Solve 4*n + 15 - w = -5*x, 0 = n - 4*x + 25 for n.
-5
Suppose -84 = -396*u + 389*u. Solve -5*m = 3*y - u, 0 = -4*y - 3*m + 8*m + 16 for y.
4
Suppose 5*f - 37 = -4*s, -19 = -3*f + 617*s - 619*s. Solve -5*j - 2*u - 9 = -2, u = -j + f for j.
-3
Let u(d) = -d**3 + 72*d**2 + 2*d - 144. Let a be u(72). Solve 0 = 3*q - 4*p + 6, q = -4*p - 2 - a for q.
-2
Suppose 1916*r - 1906*r - 110 = 0. Solve -4*o + a - 5 = -15, o + 4*a = r for o.
3
Suppose -3*l + 1133 = -4*i + 2*i, -5*i = -2*l + 2860. Let s = i + 578. Solve -b - 5*n + 5 = -10, -2*n = s*b - 6 for b.
0
Let u be (-50)/5*(-30)/(-450) + (-85)/15*-1. Suppose 26 = 4*x + l, -3*x + 14 = -l - l. Solve -3*o + x = -0*o - 3*k, 2*o + 3 = -u*k for o.
1
Suppose -2*a - s = -6*a - 99, -3*s + 129 = -5*a. Let w = 28 + a. Let v be (2/2)/(-3)*(-32 - -29). Solve -z = -v + w, 0 = b + z + 2 for b.
1
Suppose -4*i - 3 = -2*z - 9, -18 = -2*i - 2*z. Let u(p) = -3*p - 3. Let w be u(-4). Suppose w - 1 = i*t. Solve -3*g + 3*q + 12 = 0, -t*g + 2 = -6*g - 5*q for g.
2
Let o(f) = -f**2 + 4*f + 2. Let h be o(4). Suppose -10*j = -h*j - 64. Let n(g) = -g + 13. Let c be n(j). Solve 2*v + 8 = 3*q, -4*v + c = -4*q + 21 for q.
0
Suppose -5*x + 10*d - 5*d + 5 = 0, -5*x + 4*d = -8. Let m = -134 + 138. Let k = 11 - 7. Solve 2*u + 0 = 4*j - 6, -m*j = -k*u - x for j.
2
Let m be (-30)/(-45)*24/8. Solve 3*h - m*h = 4*z + 13, -z = h + 2 for z.
-3
Let g = -256 + 261. Suppose g*a + 8 - 23 = 0. Solve 0 = -a*q + 12, q = y + 6 - 1 for y.
-1
Suppose 3*j - 1915*r = -1917*r + 7, -3 = j - 2*r. Solve 5*f = 5*t, 5*t + f = j + 5 for t.
1
Suppose -3*l - 2*l = 5*x - 25, 5 = l - 5*x. Let h be (-1 + 1)*(-89)/178. Solve f = -l*d + 22, h*d - 16 = -4*d for f.
2
Suppose 0 = l - 13 - 8. Suppose -k + l = 1. Suppose 3*s - f + 2 = -3, 0 = 5*s - 4*f + k. Solve s = -d + v, -2*d + 2*v = -4*d - 20 for d.
-5
Let i(m) be the first derivative of 21 - 8/3*m**3 - 13*m - 7/2*m**2 + 1/4*m**4. Let v be i(9). Solve 4*x - 20 = -x, 0 = -v*z + 2*x - 33 for z.
-5
Suppose -5*w - 2*u = -19, 94*w - 11 = 93*w + 2*u. Solve 2*b = w*h - 4, 0 = -2*h + 2*b - b + 1 for h.
2
Let q(t) = t**2 - 88*t + 1365. Let h be q(68). Solve -3*g - i - h = 3*i, -5*g - 3*i - 12 = 0 for g.
-3
Suppose -78*h + 105*h = 135. Solve 4*q + 73*r = 71*r - 4, 0 = -4*q + h*r - 32 for q.
-3
Let p(v) = -77*v - 2614. Let h be p(-34). Solve 3*w - 4*w + 11 = 4*o, 4*o - 20 = -h*w for o.
2
Let f be 2 + 2 + (0 - -206). Let t be 1/((-1370)/275 + 5). Let v be f/t - (72/(-33) + 2). Solve 28 = -4*u - 2*p + 6*p, v*u - 2*p = -24 for u.
-5
Let n(s) = -4*s**2 - 13*s. Let l be n(-1). Solve 0 = 3*o + 8*z - 12*z + 5, -l = 4*o - 3*z for o.
-3
Suppose -6 = -7*t + 22. Suppose -c - 3*a + 13 - 3 = 0, -3*c = -t*a + 35. Let z = c - -7. Solve 5*s + 3*x + 5 = 0, 2*s - z = -3*x + 5 for s.
-4
Let j = -821 + 843. Suppose j = 13*w - 43. Solve -2*o = -5*q + 1, -q = w*o - 5 + 21 for o.
-3
Let b = 9 - 5. Suppose 21 = 5*l + 5*q - 89, 0 = 6*l - 2*q - 116. Suppose 2*c = -z - 12 + 4, 0 = -b*c - l. Solve -k + 1 = 2*x - 3*x, 2*k - z = 0 for x.
0
Suppose -3*h - 2 = -5. Let l be ((-9 - (9 - -12))/(-4))/(54/36). Solve -c + h = c + j, 0 = l*c + 3*j - 5 for c.
-2
Suppose -15*j + 45 + 0 = 0. Suppose -4*c + 82 = -j*v, -3*v + 5*v + 106 = 5*c. Solve 0 = -3*q - 3*k + 27, -5*q + 3*k - 9 = -c for q.
5
Let w(z) = -z + 53. Let p be w(37). Suppose 0 = 3*c - 6*g + g - 14, -4*g - p = -4*c. Solve 2*x + j - 13 = 0, -3*x + j = -4 - c for x.
4
Let u be (-4588)/222*(-20)/(-8)*(-6)/10. Solve 0 = h + q - 2, -u*q - 14 = -4*h - 33*q for h.
5
Suppose 100 = 3*z - 5*v + 7*v, -20 = -z - 4*v. Suppose -26*l = -22*l - z. Solve n = -3*r - r + l, 10 = 2*n for r.
1
Suppose 0 = o - 7 + 5. Let k(v) = v**3 + 5*v**2 + 7*v + 12. Let g be k(-4). Solve o*i + 4 = g, -5*h + 3*i = -h - 2 for h.
-1
Suppose -30*d - 25*d = -330. Solve 2*g = -d, -4*j + g + 14 = -9 for j.
5
Let p(r) = r**3 + 7*r**2 - 32*r - 18. Let l be p(-10). Solve l*q - 4 = 3*s + 1, -q = -4*s - 15 for s.
-5
Suppose 0 = -5*m + 15, -h + 14*m + 51 = 19*m. Solve -31*j = n - h*j - 14, n - 18 = 7*j for n.
4
Let f be (-1)/(-3) - (-2)/(-6). Suppose 0 = -152*d + 138*d. Suppose -4*j + d*j = f. Solve 3*a + 6*y - y + 13 = j, -3*y = 5*a - 5 for a.
4
Let y be 6/(-36)*4*-12. Suppose 4*b - 7*r + 2*r = 0, 0 = -4*b + 3*r + y. Solve -3*o + 3 = -3*q, 10*q + 5*o = b*q + 15 for q.
1
Let n = 29 - 10. Suppose -25 = -n*y + 51. Solve 6*h - 2*h = 3*z - 1, h - 5*z - y = 0 for h.
-1
Let w = -2576 + 2579. Solve -8 = -2*i + w*u, 5*i + 6 = -4*u - 20 for i.
-2
Suppose 0 = -63*t - 81*t. Solve -5*h - 5*v = -10*h - 10, -2*h - v - 4 = t for h.
-2
Let i = 7 - 0. Let h be i - (-8)/((-12)/3). Suppose 7*d = h + 16. Solve -2*z = 3*b + b, d*z = -4*b for z.
0
Let b be (32/20)/(((-44)/55)/(-2)). Solve -3*v = -c - c + 2, 4*c - b = -v for c.
1
Let c = 52 - 49. Suppose -2*v - 114 = 2*w - 24, -95 = 2*w - c*v. Let z = 51 + w. Solve -1 = z*t + 3*k, -t + 5*k - 17 = -0*t for t.
-2
Suppose -580 = 73*d - 69*d. Let f = 189 + d. Solve -13 = 3*c - 5*m - f, 0 = 5*c + 3*m + 5 for c.
2
Let o be (-88133)/(-124) - 1/(-4). Let r = -701 + o. Solve -d = 4*z - r, -3*d + 18 = 4*z + 2*d for z.
2
Let b(u) = 411*u**3 + 2*u**2 + 3*u - 3. Let g be b(1). Let k = -408 + g. Solve -2*v = 2*h - v - k, 2*h + 4*v - 14 = 0 for h.
1
Let y be ((-14)/21)/(6/(-9)). Let t be (38/14 - (-8)/28) + y. Let x = -2 + 4. Solve -28 = 5*k - t*f, k - x*f = -1 - 7 for k.
-4
Suppose 5*l = 5*q + 190, l + q - 27 = 3. Suppose -138 = -l*i - 35*i. Let o = 5 - 3. Solve -o*k = 3*j - 7, -3*k + 5*j = i*k + 20 for k.
-1
Suppose 44 - 402 = -127*i + 277. Solve 0 = 3*a - 4*o - 13, 0 = 2*a - 3*a + i*o + 8 for a.
3
Let n(o) = o**2 + 13*o - 16. Let h be n(-14). Let l be (-38)/h - (-3 + 12 + -5). Suppose -4*a + 19 - l = 0. Solve -2*c - 3*y - y = 8, a = 2*c + y for c.
2
Suppose 0 = -5*u + 4*r + 20, 3*u - u + r - 8 = 0. Solve -22 = u*l - 5*w, -3*w + 8 = -4*l - 5*w for l.
-3
Suppose 5*m + 25 = 0, 3*s - 2*m - m = -6. Let p be (3 - (-4 - s)) + 6. Solve -5*a - 13 = -y, y + 7 = a - p*a for y.
3
Let v be (-4 + 3/3)/(-1). Let f(w) = 2*w - 13. Let q be f(7). Suppose 8 = 3*k + 2*t, 3*k - 4*t - q = 19. Solve -5*p = 0, 3*p = -v*z + k - 1 for z.
1
Let p be (-8)/14 - (5893/994)/(1/(-6)). Solve -t = 4*v + p, -4*t - 11 = 2*v + 17 for v.
-8
Let a(q) = 3*q - 9. Let u be a(11). Suppose 4*z - u = -4*d, -9*z + 4*z = -2*d - 2. Solve -7 - 7 = z*r + 4*p, -2*r = -4*p - 2 for r.
-3
Let j be (-2976)/72 - 1/(-3). Let y = j - -17. Let l = y + 26. Solve -18 = l*g + 5*i, -3*i + 5 = 11 for g.
-4
Let i = -116 + 170. Suppose i = o + 17*o. Solve l + 5 = o*d + 2, -5*l = -d + 1 for d.
1
Let f be (-6)/(-2) + (-4 - -6). Suppose 2*m + 6 = -4*v, 5*m = v + 221 - 258. Solve -f*i - 5*d + 30 = 0, -8 - v = -i - 5*d for i.
5
Suppose -97*n + 87 = -107. Solve -x + 1 = -n*z - 8, -7 = z + 2*x for z.
-5
Let w(q) = -4*q - 4. Let a be w(-4). Suppose 0 = 154*o - 625*o + 9420. Solve -l - 3*u = -0*l - a, 5*l - u + o = 0 for l.
-3
Suppose 5*n = -5*u + 65, 0 = -4*n + 1 - 13. Suppose 13*v - u*v = 5*h - 22, -3*h + 4*v = -19. Solve -h*o - 5 = 5*r, 2 = -r - 0 for o.
1
Suppose -11*s = -29*s + 72. Solve 2*b + s = -3*j - 5, -5*j + 5*b = 40 for j.
-5
Let l be 10 - 1 - 6/(-6 + 12). Suppose -2*v + l + 16 = 0. Suppose 5*q - v = 3. Solve 17 = -5*r - 5*z - q, 0 = 2*r + z + 6 for r.
-2
Let x = 0 + 3. Suppose -10 = 4*v + 10, 25 = 2*o - 5*v. Suppose o = -6*u - 5 + 17. Solve w - 3 = y, -x*w + u*y + 5 = -2*w for w.
1
Let t = -2616 - -2619. Solve 5*p + 86 = b + 61, 0 = t*p + 12 for b.
5
Let j be 22/(-11) - (-36)/3. Solve 5*l = 5*p - j, 3 - 17 = -3*p - l for p.
4
Let t(w) = 19*w**2 + 108*w - 28. Let c be t(-6). Solve -3*s = 5 - c, 5*m + s - 11 = 0 for m.
2
Suppose 3*r - 17 - 7 = 0. Suppose r = -2*u - 5*j + 40, 0 = -5*u + j + 26. Solve q = n, -q + 1 - u = 0 for n.
-5
Let b = -299 + 149. Let q = b + 70. Let h be 5/(-4) - 100/q. Solve -3*x + 12 = -5*t, h*t = -4*x - t - 7 for x.
-1
Let h = -2609 + 2633. Solve 27*i + 4*g + 8 = h*i, -2*g = 10 for i.
4
Let v be 26/338 + 512/104. Solve -v*y - h + 24 = 0, h - 4 = -0 for y.
4
Suppose -4*f + 24 = 2*d, 569*d = 573*d - f + 6. Solve 2*w - 4*s + 2 = d, -17*w + 4 = -15*w + 2*s for w.
1
Let u(f) = f**3 + 8*f**2 + 7*f + 2. Let j be u(-7).
|
{
"pile_set_name": "DM Mathematics"
}
|
- l. Which is the nearest to n? (a) 0.1 (b) -2 (c) 5
a
Let y = 419 - 419.263. Let h = -1.263 - y. What is the nearest to -4 in 5, -0.8, h?
h
Let o = 362 - 361.8. Let p = 0 + -2. Let t = -670 - -669.7. Which is the closest to p? (a) -4 (b) o (c) t
c
Let j be (-6)/(-20) + 5 + 108/(-20). Let t = -64.6 + 69.6. What is the nearest to -0.2 in -3/5, j, t?
j
Let f = -0.24 + 0.44. Let r = -0.0619 + 0.2619. What is the nearest to r in -8, 4, f?
f
Let v = -345 - -350. Let u be 10/v + (-1 - (-28)/(-12)). Which is the closest to 0? (a) 0.02 (b) 4 (c) u (d) 5
a
Suppose 0 = 3*j - 2*h - 19, 2*j - 18 = -0*j + 2*h. What is the closest to j in 0.5, -37, -1/5?
0.5
Let v be (6405/560)/(-61)*8/(-6). Let q = -12 - -7. Which is the nearest to v? (a) q (b) 3 (c) -1/3
c
Let g be 0 + -4 + 52/(-2). Let h be 2*((-9)/g)/((-9)/(-6)). Which is the closest to 0.1? (a) -15 (b) h (c) -2/7
b
Let n = -5582 + 5587. What is the nearest to 6/49 in -0.5, n, -2/5?
-2/5
Let a = -51 + 203/4. Let l = -311941 - -311942. What is the closest to -0.045 in l, 0.3, a?
a
Let m = 38 + -37. Let t be m*3 + (-14 - -16). Suppose 2*k + t = -5. What is the nearest to -1 in k, -0.1, 1/12?
-0.1
Let j = 7 + -2. Let n = 678 - 679. Which is the nearest to 2/23? (a) 1/5 (b) n (c) j
a
Let j = 94268.1 - 94268. Let u = 136/105 + -13/15. Which is the closest to 1? (a) u (b) j (c) -0.6 (d) 1
d
Let u = 431.8 - 432.4. Which is the nearest to u? (a) -0.2 (b) -65 (c) -3
a
Let o = 660.4 - 660. What is the closest to -2 in 2, -27, -3/5, o?
-3/5
Suppose -68*k - 198 = 41*k + 347. Which is the closest to 1? (a) k (b) 0.24 (c) -1/2 (d) -4
b
Let d = 181 - 180. Let h be d/(-5) + (-10)/450. Which is the nearest to 0? (a) h (b) -7 (c) -1
a
Let a = 0.21 + -0.1. Let k = 0.51 - a. Let q = 6.24 + -0.24. What is the nearest to q in -1, k, 2?
2
Suppose -3*t = -t + 2. Let m be (-50)/6 + ((-20)/3 - -7). Let p be m/30 - (-38)/(-285). What is the closest to -2/9 in t, 0.4, p?
p
Suppose -3*i - 1 = 5*v, -3*i - 3 + 14 = -v. Let k = 9 - 17. Let o = -10 - k. Which is the closest to 0.2? (a) 0.3 (b) o (c) i
a
Suppose -2*l = -1 - 3. Let r = 2.1 + -1.92. Let w = r + -0.48. Which is the nearest to -0.2? (a) 0 (b) w (c) l
b
Let u = -7149 - -7146. Which is the nearest to -2/11? (a) 5 (b) -0.3 (c) u (d) 0.4
b
Let n = 62.2 + -62.3. Let y = 4.3 - 4.64. Let g = y - -2.34. What is the nearest to n in 3, g, -0.5?
-0.5
Let u = 120 + -62. Let y = u + -58.3. Which is the closest to -2? (a) -2/19 (b) 0.1 (c) y (d) 1
c
Let n be 1*(-2 + 3 + -2). Let w = 227/5 + -45. Suppose 28*x = 26*x - 5*f + 46, 5*f = 2*x + 34. Which is the nearest to n? (a) x (b) w (c) 3/4
b
Let l be (-2)/5 - 2451/60. Let c = l + 41. Let s = c - -1/2. What is the nearest to s in -1/4, 4, -0.4?
-1/4
Let d = 948.6 + -1251. Let w = d + 302. What is the closest to 1/4 in w, 4, -2, 2/5?
2/5
Let r be (-42)/(-110) + 19/(-95). Suppose -2*u + u + 4 = 0. Let q = 8319/4 + -2079. Which is the nearest to 1? (a) u (b) r (c) q
c
Suppose -2*x + 72 = -6*x. Suppose 304 - 106 = -6*f. Let l be ((-3)/(x/(-4)))/((-22)/f). What is the closest to l in 5/4, 2/11, 0.01?
0.01
Let g = 0.1 - 0.1. Let w = 49957 + -49956. What is the nearest to 5 in 0.2, w, g?
w
Let u = -0.8 + 1. Let t = 29.139 + -31.139. What is the nearest to u in -0.2, 1/5, t?
1/5
Let y = 295.08 + -287. Let n = y - 3.08. Let o = -19 + 19.5. What is the closest to 1 in o, n, -0.02?
o
Let z = -292 - -291.992. Let u = z - 0.102. Which is the nearest to -2/5? (a) 0 (b) -4/7 (c) u
b
Let r = 0.89049 - 3.89049. Let f = 364 - 359.06. Let n = -0.06 - f. What is the nearest to r in -2, -3, n?
-3
Let d be ((16 - 16)/(-4 + 5))/(-1). Which is the closest to d? (a) -1/2 (b) -9/2 (c) -10
a
Let j = 46 + 113. Let o = j - 158.9. What is the nearest to o in 3, -0.04, 0?
0
Let v = -239 + 270. Let g = -31.1 + v. Let r = -5 + -2. Which is the closest to g? (a) 1/3 (b) -1/5 (c) r
b
Suppose 0 = 4*v - 5*v - 1. Suppose -55 = 289164*y - 289175*y. Which is the nearest to v? (a) -0.3 (b) -1 (c) 7 (d) y
b
Let i = -4.0177 - -3.6177. What is the closest to -6/5 in i, -213, -4/7?
-4/7
Let j = -3 - -2.93. Let a = j - -2.07. Let k = -0.013 + 5.013. What is the closest to -0.2 in 0.3, a, k?
0.3
Let x = 60 + -36. Let o = -740 - -5178/7. What is the closest to o in 1/8, -0.4, x?
-0.4
Let q = -2.5 + -0.5. Let i = -4115 - -4112. What is the closest to i in 0.5, q, -0.05?
q
Suppose -5*d - 732 = 2*o, 0*o + 2*o - 452 = 3*d. Let t = d + 1334/9. Let x = 0 + -0.2. What is the nearest to -0.4 in t, x, 0.5?
x
Let i = -0.257155 + -0.042845. Let a = 16.7 - 16. What is the nearest to -0.3 in a, 0.2, i?
i
Let t = 0.1519 + 0.8481. Which is the nearest to t? (a) 5 (b) 0 (c) 0.5 (d) 150
c
Suppose -305*m + 310*m = -3*t + 18, 2*t = -3*m + 11. Which is the nearest to 1? (a) 0.3 (b) 0.19 (c) m
a
Let k = 537 - 1019. Let j = k + 484. Which is the closest to j? (a) -16 (b) -0.1 (c) 2
c
Let n = -14461.99 + 14462. Let s = 2.96 - -0.04. What is the nearest to -0.1 in s, -3/5, n?
n
Let j = -0.12 + 9.12. Let f be 8/(-32)*45/10. Let q = 65/72 + f. Which is the nearest to j? (a) q (b) 4 (c) -3
b
Let l(j) = -j**3 + 2*j**2 + 2*j - 6. Let o be l(-3). Let k = o - 97/3. What is the nearest to k in -4, 0.1, 5?
0.1
Let q = -536 + 539. Let f = 3 - 7. Which is the closest to 0.1? (a) 15 (b) q (c) f
b
Let v = -2.5217 + 2.8217. What is the nearest to 3 in 4, -5/7, v?
4
Let i = -133.83 - -133.85. Which is the nearest to 3? (a) 1 (b) 2/23 (c) i
a
Let r = 1282 - 795. Let h = r - 486.8. What is the closest to 7 in -4, h, 0.4?
0.4
Let s = 420.4 + -398.4. Which is the nearest to -0.1? (a) -0.2 (b) s (c) -5 (d) 0.1
a
Let j = 1064 - 1062. What is the closest to 1/2 in 5, j, 18?
j
Let u = 672.1 + -675.1. Let x = 0.4 + 4.6. What is the closest to 2/7 in -117, u, x?
u
Suppose -246 = -401*v + 155. Which is the nearest to -0.1? (a) -3 (b) 0.5 (c) v (d) -18
b
Let s = -115/2 - -1269/22. Let z = 0.8 + -1.2. Which is the nearest to 3? (a) s (b) z (c) 0
a
Let j = -0.10083 + 1.10083. What is the closest to j in 0, 3, 1, 2/11?
1
Let o = 1.5 + -0.5. Let s = 166 - 201. Let g be (-9 - -5) + s/(-15). Which is the nearest to o? (a) -1/2 (b) g (c) 0
c
Let w = 625/2212 - -1/316. What is the nearest to -2 in 0.5, w, -4, -13?
-4
Let x = -0.2 + 0.1. Let w = -13 - -13.5. Let q be 28331/2764 - (8 + 1 + 1). What is the closest to x in q, -0.5, w?
q
Let f be (-6 - -1) + -7 - -15. Which is the nearest to f? (a) 0.5 (b) -0.2 (c) -33/4 (d) -5/4
a
Suppose 59*h - 61*h + 4*k + 50 = 0, 15 = -3*k. Which is the closest to -1? (a) 0.6 (b) 4 (c) 0 (d) h
c
Let g = 21566.9 + -21567. What is the closest to g in -5, -2/61, 0.06, 0?
-2/61
Let x = 18200 - 163801/9. What is the closest to 3 in -3, x, 5?
5
Let s = -707/3 + 235. Let r = -9 - -18. Let d = 13 - r. Which is the nearest to s? (a) d (b) -11 (c) -5
c
Let v be 50/(-140)*(7 + -27)/10. Which is the closest to -2? (a) 0.1 (b) 3 (c) -5/6 (d) v
c
Let j = 993 + -1665. Let o = -650 - j. Let v = -2/3 - 0. What is the closest to v in -1, 4, o?
-1
Let d(w) = 4*w - 15. Let u be d(3). Let h be 1/u + (850/165 - 5). Let s = 0.2 + 0.3. What is the closest to h in s, 2, 0.3?
0.3
Let m = -9000 + 9001. Which is the nearest to m? (a) 18/7 (b) 2 (c) 8/5
c
Let d = 0.48 + -14.48. Let m = 13.89 + d. Let r = -0.19 + m. Which is the nearest to 2/3? (a) 2 (b) r (c) -1
b
Let f = -30865 + 802493/26. Let o = -0.08 + 0.58. Which is the nearest to 1? (a) o (b) 3 (c) f
a
Let x = 43 + -42.83. Let w = x - 1.67. What is the nearest to -0.1 in 4, w, 0.5?
0.5
Let l = -5330 - -5333. Which is the nearest to l? (a) -0.2 (b) -5 (c) -15
a
Let l = -242.48 + 232. Let u = l - -3.48. What is the nearest to -0.1 in 1, 0.1, u?
0.1
Let z be 1/(-1)*(-52)/52. Let m be (46/(-40) + z)/((-19)/(-76)). What is the closest to -2/5 in -3, m, -1?
m
Let l = 1842 - 1845. Which is the nearest to -0.1? (a) 0.2 (b) -0.5 (c) l (d) 5
a
Let i be (13 - (-920)/(-72)) + (-40)/261. What is the closest to 0 in -0.4, i, -3/4, -0.2?
i
Let g be 30/20*22/99. Which is the nearest to -1/3? (a) g (b) -2 (c) 2/9 (d) -20
c
Let i = 26749 + -26774. Suppose -2*w + 4*z + 12 = 0, -4*w + 2*z + 3 = z. Let d = -5 - w. Which is the nearest to 0.1? (a) i (b) 0.5 (c) d
b
|
{
"pile_set_name": "DM Mathematics"
}
|
25874, 148, -6.
-25874, -6, 148
Put -2, -30, 1513096, 5 in descending order.
1513096, 5, -2, -30
Sort 2, 20, 6064, 22, -4.
-4, 2, 20, 22, 6064
Put -378, 5, 17, 35, -491 in increasing order.
-491, -378, 5, 17, 35
Sort 9750, 5, -11, -5, -3 in descending order.
9750, 5, -3, -5, -11
Sort 5, 2, 336278 in ascending order.
2, 5, 336278
Put 0, 3, 85, 2, 134, -5, -11 in descending order.
134, 85, 3, 2, 0, -5, -11
Put 1.13, -9, -2/353, 0.1 in decreasing order.
1.13, 0.1, -2/353, -9
Sort -2/3, 3255, 4.5 in increasing order.
-2/3, 4.5, 3255
Put -2529, -3, 4/15, -0.4, -2/9 in increasing order.
-2529, -3, -0.4, -2/9, 4/15
Sort 44, -3, 4, -499, 0, 6 in descending order.
44, 6, 4, 0, -3, -499
Sort 7, -33, 3628 in decreasing order.
3628, 7, -33
Put 3, -309, -0.1, -73/4, 1/7 in decreasing order.
3, 1/7, -0.1, -73/4, -309
Sort 22, 24, 10658 in decreasing order.
10658, 24, 22
Sort 21, 0.5, 52/341, -0.08 in decreasing order.
21, 0.5, 52/341, -0.08
Sort 2, 139, -1/19, 4, -4, 12 in ascending order.
-4, -1/19, 2, 4, 12, 139
Sort 14, -0.02, 65/12, 2/11.
-0.02, 2/11, 65/12, 14
Sort -2, -0.8, 116, 2051, -0.5, 2/3.
-2, -0.8, -0.5, 2/3, 116, 2051
Put -25, -24, -1067, 73 in increasing order.
-1067, -25, -24, 73
Put -5/27, -544, -397 in decreasing order.
-5/27, -397, -544
Sort 1068, -6853, -45 in descending order.
1068, -45, -6853
Sort -4, 2183, -12, -3, -2 in increasing order.
-12, -4, -3, -2, 2183
Sort -2, 1, 53, -1, -5, -29278, 5.
-29278, -5, -2, -1, 1, 5, 53
Put -51, 1, -2, -442, 3, -4 in increasing order.
-442, -51, -4, -2, 1, 3
Put 1261, 0, 44, 45, 2 in decreasing order.
1261, 45, 44, 2, 0
Sort -2/3, 26255535, -1.4 in increasing order.
-1.4, -2/3, 26255535
Sort -3, -5, -2, 11, 163, 74 in descending order.
163, 74, 11, -2, -3, -5
Sort -3, 2, -1266, -63, 3/8 in decreasing order.
2, 3/8, -3, -63, -1266
Put -0.35, 2157, -1/14 in decreasing order.
2157, -1/14, -0.35
Sort 644, 3, 85717.
3, 644, 85717
Sort -151525, 0.507, -0.05 in ascending order.
-151525, -0.05, 0.507
Sort 4, 3, -48, -10084 in decreasing order.
4, 3, -48, -10084
Sort -5, -2060, 25, -6, -3, 1 in decreasing order.
25, 1, -3, -5, -6, -2060
Put 3, 3/5, -4, -43819 in increasing order.
-43819, -4, 3/5, 3
Put 13, 2, 789, -4, -10 in decreasing order.
789, 13, 2, -4, -10
Put 6/7, -43662, 67, -0.1 in ascending order.
-43662, -0.1, 6/7, 67
Put 5, 886, 4, 6, -4, 0 in descending order.
886, 6, 5, 4, 0, -4
Sort 9, -179, -11712, -3, 2 in decreasing order.
9, 2, -3, -179, -11712
Sort 0.006, -3, 2/11, 8.8, -6/7 in increasing order.
-3, -6/7, 0.006, 2/11, 8.8
Sort -4, 12, -265, -8, -1, 1 in ascending order.
-265, -8, -4, -1, 1, 12
Sort 6, -292/9, -3, 0.09, -0.2 in decreasing order.
6, 0.09, -0.2, -3, -292/9
Sort -4, -12, 21879.
-12, -4, 21879
Sort -2/99, 5, -18, -2/5, -5, 1 in descending order.
5, 1, -2/99, -2/5, -5, -18
Put 27, 652, 4, 3 in ascending order.
3, 4, 27, 652
Sort 2, 4, 6, -88712.
-88712, 2, 4, 6
Sort -235, 2120, -6.
-235, -6, 2120
Sort 14, 13044, -3, 148.
-3, 14, 148, 13044
Put -0.01, -4/69, -79.5 in descending order.
-0.01, -4/69, -79.5
Sort -3, 87, -5, -8, 13934 in descending order.
13934, 87, -3, -5, -8
Put -3/128, 15, -4/3, -59 in decreasing order.
15, -3/128, -4/3, -59
Put 5, -27503, 111 in descending order.
111, 5, -27503
Sort 3766.89, -3, -4, -0.1.
-4, -3, -0.1, 3766.89
Put 224, 73, 24, 0 in decreasing order.
224, 73, 24, 0
Sort -27, -378, -71 in decreasing order.
-27, -71, -378
Sort -4, 14, 5, -0.3, -3/8, 328, -5 in decreasing order.
328, 14, 5, -0.3, -3/8, -4, -5
Sort -15.61368, -0.4, -4, -3/7, -5 in ascending order.
-15.61368, -5, -4, -3/7, -0.4
Sort 48, -11, -5, -1, 0, 7, -3 in descending order.
48, 7, 0, -1, -3, -5, -11
Sort 0, -17, -21, -42 in decreasing order.
0, -17, -21, -42
Put -2, 5/6, -3, -249123, 4 in increasing order.
-249123, -3, -2, 5/6, 4
Sort 286707419, 4, 3 in descending order.
286707419, 4, 3
Sort 40, 293, 123, 0 in ascending order.
0, 40, 123, 293
Put 13, -0.22382, -3 in ascending order.
-3, -0.22382, 13
Sort 208, 17, 1, 2, -4, -19, 3.
-19, -4, 1, 2, 3, 17, 208
Put -0.105, -929377, 1/6 in descending order.
1/6, -0.105, -929377
Sort 11, -5, -0.58, -57.25, 0.1.
-57.25, -5, -0.58, 0.1, 11
Put 189, -2, 6, 1515 in ascending order.
-2, 6, 189, 1515
Put -0.6, 6/257, 117, 0.5 in decreasing order.
117, 0.5, 6/257, -0.6
Sort -2, 5, -326, -13, 0, 80, -3.
-326, -13, -3, -2, 0, 5, 80
Put 9, -5, 3, 7, -24, 79 in descending order.
79, 9, 7, 3, -5, -24
Sort -2, -33, 151, 0, 1, -4, -31.
-33, -31, -4, -2, 0, 1, 151
Sort -1296182, -2/3, -43 in descending order.
-2/3, -43, -1296182
Sort -1, -2, -486245, 48 in descending order.
48, -1, -2, -486245
Sort 1/4, 240.75, -39, 0.1 in decreasing order.
240.75, 1/4, 0.1, -39
Sort 338, 29, 1/11, -67 in increasing order.
-67, 1/11, 29, 338
Sort -3, -41, -462, 4, 0, -5.
-462, -41, -5, -3, 0, 4
Sort 26/5, 51, 58/847 in ascending order.
58/847, 26/5, 51
Sort -2/103, -1292, -99/2 in decreasing order.
-2/103, -99/2, -1292
Put -7/3, 3/121, 53/4, -2/7 in ascending order.
-7/3, -2/7, 3/121, 53/4
Sort 46949/2, 0.1, 0, 15 in decreasing order.
46949/2, 15, 0.1, 0
Sort 2/27, -239/333, 1/6.
-239/333, 2/27, 1/6
Sort 28, -28778, 1.
-28778, 1, 28
Sort -247, 0, -7, -5, -2945, -1 in ascending order.
-2945, -247, -7, -5, -1, 0
Sort 0.189, 4, 1, -0.62, -1, 10 in increasing order.
-1, -0.62, 0.189, 1, 4, 10
Sort -0.03, 0.77, 0.5, 5.8, 5 in decreasing order.
5.8, 5, 0.77, 0.5, -0.03
Sort 0, -2, -122, 3, -1737, 1 in increasing order.
-1737, -122, -2, 0, 1, 3
Put -9, -4, 23, 5724 in increasing order.
-9, -4, 23, 5724
Sort 332, -5, 57, 4, -4, 3, -22 in increasing order.
-22, -5, -4, 3, 4, 57, 332
Put -774, 1, 4, -2, 7, -3, -47 in descending order.
7, 4, 1, -2, -3, -47, -774
Sort -0.1, -3199, 14, -4, 0.4.
-3199, -4, -0.1, 0.4, 14
Put -5, 6, 1736, 4, 0, 47 in decreasing order.
1736, 47, 6, 4, 0, -5
Sort -51, 27/41, 0.4, -240.
-240, -51, 0.4, 27/41
Sort 0.1, 5, 19596.8576 in descending order.
19596.8576, 5, 0.1
Put 2, 1, 14, -3, -3308, 3, 0 in descending order.
14, 3, 2, 1, 0, -3, -3308
Sort 1, -5, 5, 379, 28 in increasing order.
-5, 1, 5, 28, 379
Put 1/2, 3/7, 0.2, 2/17, 10, 447 in descending order.
447, 10, 1/2, 3/7, 0.2, 2/17
Sort -1/3, -3, 186604, -8, 2, 1/3 in decreasing order.
186604, 2, 1/3, -1/3, -3, -8
Sort 5, 3, 9, -25838, 2 in decreasing order.
9, 5, 3, 2, -25838
Put 9, 55889, 19 in descending order.
55889, 19, 9
Put 86.092, 323, -0.4 in descending order.
323, 86.092, -0.4
Sort 4, -5, 77151, -9 in decreasing order.
77151, 4, -5, -9
Sort 4/3, -5, 14.4, -21, -3406 in descending order.
14.4, 4/3, -5, -21, -3406
Sort 0.1, 4, -3, 0, 156, -9.7 in ascending order.
-9.7, -3, 0, 0.1, 4, 156
Put 4, 316, 0, -2, -34 in decreasing order.
316, 4, 0, -2, -34
Sort 605, -4, 3, -8, 1, -3.
-8, -4, -3, 1, 3, 605
Put -3, -13.9, -0.5, 12582 in descending order.
12582, -0.5, -3, -13.9
Sort -2/9, 1/2, 1283, -0.05, 15, 4 in decreasing order.
1283, 15, 4, 1/2, -0.05, -2/9
Sort 1, -519, -44459.
-44459, -519, 1
Sort -2, 12, 3, -4, -5, 245 in increasing order.
-5, -4, -2, 3, 12, 245
Put 1/5, -0.3, 20, 0.1418, -1/3, 2 in ascending order.
-1/3, -0.3, 0.1418, 1/5, 2, 20
Sort 12, 4, 23, -0.069, -3.
-3, -0.069, 4, 12, 23
Sort -15, -1, 4697, -116 in decreasing order.
4697, -1, -15, -116
Sort -3481, 0.056642, -1/6 in increasing order.
-3481, -1/6, 0.056642
Sort -58, 2, 15, -2, 122.
-58, -2, 2, 15, 122
Put 3, 1/11, 5/4, -2/7, 0.83, 2/15 in descending order.
3, 5/4, 0.83, 2/15, 1/11, -2/7
Sort -0.3, 5, -1/4, -11885, -0.0571 in increasing order.
-11885, -0.3, -1/4, -0.0571, 5
Sort 0.1, -0.4, -6, -4211, 3, -0.1 in increasing order.
-4211, -6, -0.4, -0.1, 0.1, 3
Sort 2, 242, 1, 0, 530 in descending order.
530, 242, 2, 1, 0
Sort 1, -24, 5372, -3 in increasing order.
-24, -3, 1, 5372
Put 3, 130, -11549 in ascending order.
-11549, 3, 130
Put -23, -1, 8, -234 in descending order.
8, -1, -23, -234
Sort -5, -17, 0.5, 72074, -2/15.
-17, -5, -2/15, 0.5, 72074
Sort -4, -77, 14, 4, -1, -3, 529 in increasing order.
-77, -4, -3, -1, 4, 14, 529
Put -0.04, -3.2, -0.4, -6, 531 in ascending order.
-6, -3.2, -0.4, -0.04, 531
Put -386, 773, -15 in ascending order.
-386, -15, 773
Sort 2/19, -3/8, -19749/46, -5.
-19749/46, -5, -3/8, 2/19
Put 4.7, -1/4, 9/137 in ascending order.
-1/4, 9/137, 4.7
Sort 71536, -4, -108 in descending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the sixth root of 1472043 to the nearest integer?
11
What is 212167 to the power of 1/9, to the nearest integer?
4
What is the cube root of 4796699 to the nearest integer?
169
What is the square root of 2371285 to the nearest integer?
1540
What is the square root of 18520528 to the nearest integer?
4304
What is 17428032 to the power of 1/2, to the nearest integer?
4175
What is the cube root of 556094 to the nearest integer?
82
What is 2876810 to the power of 1/2, to the nearest integer?
1696
What is 2243834 to the power of 1/2, to the nearest integer?
1498
What is 522435 to the power of 1/3, to the nearest integer?
81
What is 11057718 to the power of 1/4, to the nearest integer?
58
What is 2809687 to the power of 1/3, to the nearest integer?
141
What is the third root of 914956 to the nearest integer?
97
What is 1271018 to the power of 1/4, to the nearest integer?
34
What is 360707 to the power of 1/2, to the nearest integer?
601
What is 100342 to the power of 1/2, to the nearest integer?
317
What is the tenth root of 2593196 to the nearest integer?
4
What is the square root of 503191 to the nearest integer?
709
What is the third root of 809557 to the nearest integer?
93
What is the cube root of 15003476 to the nearest integer?
247
What is 202753 to the power of 1/9, to the nearest integer?
4
What is 2534506 to the power of 1/7, to the nearest integer?
8
What is the third root of 1066492 to the nearest integer?
102
What is 1514528 to the power of 1/2, to the nearest integer?
1231
What is 2445934 to the power of 1/2, to the nearest integer?
1564
What is the ninth root of 720364 to the nearest integer?
4
What is 417975 to the power of 1/2, to the nearest integer?
647
What is the square root of 2328443 to the nearest integer?
1526
What is the cube root of 5149337 to the nearest integer?
173
What is 17340159 to the power of 1/8, to the nearest integer?
8
What is 1261984 to the power of 1/2, to the nearest integer?
1123
What is 953194 to the power of 1/7, to the nearest integer?
7
What is the third root of 2929158 to the nearest integer?
143
What is 213060 to the power of 1/2, to the nearest integer?
462
What is the third root of 200321 to the nearest integer?
59
What is the square root of 4839905 to the nearest integer?
2200
What is the cube root of 816094 to the nearest integer?
93
What is the third root of 35077 to the nearest integer?
33
What is 13871858 to the power of 1/6, to the nearest integer?
16
What is the square root of 2261850 to the nearest integer?
1504
What is the square root of 7742994 to the nearest integer?
2783
What is 844988 to the power of 1/2, to the nearest integer?
919
What is 8018608 to the power of 1/2, to the nearest integer?
2832
What is 2818082 to the power of 1/2, to the nearest integer?
1679
What is 649456 to the power of 1/2, to the nearest integer?
806
What is the ninth root of 2171122 to the nearest integer?
5
What is 680714 to the power of 1/2, to the nearest integer?
825
What is the square root of 276708 to the nearest integer?
526
What is 16413568 to the power of 1/6, to the nearest integer?
16
What is the cube root of 729024 to the nearest integer?
90
What is the square root of 3509 to the nearest integer?
59
What is 19702064 to the power of 1/10, to the nearest integer?
5
What is 20055597 to the power of 1/2, to the nearest integer?
4478
What is 1225377 to the power of 1/7, to the nearest integer?
7
What is the tenth root of 147202 to the nearest integer?
3
What is the third root of 17143619 to the nearest integer?
258
What is the cube root of 1102182 to the nearest integer?
103
What is the seventh root of 4927756 to the nearest integer?
9
What is 554504 to the power of 1/10, to the nearest integer?
4
What is 175200 to the power of 1/2, to the nearest integer?
419
What is the cube root of 68035 to the nearest integer?
41
What is 91066 to the power of 1/10, to the nearest integer?
3
What is 93468 to the power of 1/5, to the nearest integer?
10
What is the square root of 1691750 to the nearest integer?
1301
What is the square root of 2606110 to the nearest integer?
1614
What is 599521 to the power of 1/3, to the nearest integer?
84
What is the square root of 196705 to the nearest integer?
444
What is the square root of 2762980 to the nearest integer?
1662
What is 31802380 to the power of 1/2, to the nearest integer?
5639
What is the fourth root of 154650 to the nearest integer?
20
What is the square root of 32333148 to the nearest integer?
5686
What is 277949 to the power of 1/5, to the nearest integer?
12
What is 1732444 to the power of 1/2, to the nearest integer?
1316
What is 13681035 to the power of 1/4, to the nearest integer?
61
What is 25096465 to the power of 1/9, to the nearest integer?
7
What is 4246434 to the power of 1/5, to the nearest integer?
21
What is the sixth root of 428889 to the nearest integer?
9
What is 183570 to the power of 1/7, to the nearest integer?
6
What is the ninth root of 7055494 to the nearest integer?
6
What is the square root of 368887 to the nearest integer?
607
What is the ninth root of 65533 to the nearest integer?
3
What is the third root of 192893 to the nearest integer?
58
What is the cube root of 15394 to the nearest integer?
25
What is the ninth root of 27901 to the nearest integer?
3
What is the cube root of 60261 to the nearest integer?
39
What is the third root of 240094 to the nearest integer?
62
What is 14048957 to the power of 1/2, to the nearest integer?
3748
What is 5214270 to the power of 1/2, to the nearest integer?
2283
What is 266769 to the power of 1/2, to the nearest integer?
516
What is 234886 to the power of 1/10, to the nearest integer?
3
What is the cube root of 1030481 to the nearest integer?
101
What is 858601 to the power of 1/4, to the nearest integer?
30
What is the third root of 98224 to the nearest integer?
46
What is the square root of 6794327 to the nearest integer?
2607
What is 4789783 to the power of 1/6, to the nearest integer?
13
What is the square root of 149361 to the nearest integer?
386
What is the tenth root of 10227906 to the nearest integer?
5
What is 10271209 to the power of 1/4, to the nearest integer?
57
What is the cube root of 117259 to the nearest integer?
49
What is 48511 to the power of 1/4, to the nearest integer?
15
What is the third root of 37053 to the nearest integer?
33
What is 114587 to the power of 1/8, to the nearest integer?
4
What is 10067531 to the power of 1/2, to the nearest integer?
3173
What is 1521456 to the power of 1/3, to the nearest integer?
115
What is 12747119 to the power of 1/3, to the nearest integer?
234
What is 5005961 to the power of 1/3, to the nearest integer?
171
What is 3228667 to the power of 1/4, to the nearest integer?
42
What is 309169 to the power of 1/3, to the nearest integer?
68
What is 611714 to the power of 1/9, to the nearest integer?
4
What is 101112 to the power of 1/8, to the nearest integer?
4
What is the square root of 756106 to the nearest integer?
870
What is the seventh root of 1125418 to the nearest integer?
7
What is the cube root of 100473 to the nearest integer?
46
What is the square root of 1415412 to the nearest integer?
1190
What is the third root of 16470987 to the nearest integer?
254
What is 297271 to the power of 1/8, to the nearest integer?
5
What is the seventh root of 312260 to the nearest integer?
6
What is the tenth root of 4180100 to the nearest integer?
5
What is 1951127 to the power of 1/5, to the nearest integer?
18
What is the fourth root of 244419 to the nearest integer?
22
What is the third root of 11129366 to the nearest integer?
223
What is 604778 to the power of 1/2, to the nearest integer?
778
What is 1765047 to the power of 1/3, to the nearest integer?
121
What is the third root of 8946439 to the nearest integer?
208
What is the tenth root of 4964400 to the nearest integer?
5
What is 930216 to the power of 1/2, to the nearest integer?
964
What is the cube root of 686307 to the nearest integer?
88
What is the eighth root of 13173714 to the nearest integer?
8
What is 77679 to the power of 1/8, to the nearest integer?
4
What is 468866 to the power of 1/3, to the nearest integer?
78
What is 9818335 to the power of 1/3, to the nearest inte
|
{
"pile_set_name": "DM Mathematics"
}
|
1, 805?
841
What comes next: -182, -1294, -3146, -5738?
-9070
What is the next term in 18, 133, 244, 351, 454, 553?
648
What comes next: -435, -402, -349, -270, -159, -10, 183, 426?
725
What is next in 180351, 180336, 180297, 180222, 180099?
179916
What is the next term in -7978, -15942, -23900, -31852, -39798?
-47738
What comes next: 3065, 3647, 4229, 4811, 5393?
5975
What comes next: 48362, 96718, 145074, 193430, 241786?
290142
What comes next: -841, -1436, -2031?
-2626
What is the next term in -42306, -42304, -42302, -42300, -42298?
-42296
What comes next: -174, -114, 52, 378, 918, 1726?
2856
What is the next term in -1379, -5514, -12405, -22052, -34455?
-49614
What comes next: 5412, 10812, 16210, 21606, 27000?
32392
What is the next term in -2494, -9958, -22400, -39820?
-62218
What is next in 414851, 414846, 414841?
414836
What is the next term in 1416, 1239, 1062, 885, 708?
531
What comes next: 1113145, 1113146, 1113147, 1113148, 1113149, 1113150?
1113151
What is the next term in -184, -371, -548, -715, -872?
-1019
What comes next: -4994, -10044, -15094?
-20144
What is next in -7419, -7435, -7461, -7497, -7543, -7599, -7665?
-7741
What is the next term in -121, -993, -3371, -8011, -15669?
-27101
What comes next: -1563052, -3126103, -4689154, -6252205, -7815256, -9378307?
-10941358
What comes next: -110825, -443289, -997395, -1773143?
-2770533
What is the next term in 398, 1450, 3204, 5660, 8818, 12678, 17240?
22504
What is the next term in 70589, 70590, 70591, 70592?
70593
What is next in 3397227, 6794451, 10191675, 13588899, 16986123, 20383347?
23780571
What comes next: -333, -332, 5, 690, 1735, 3152, 4953?
7150
What comes next: -2098533, -2098534, -2098535, -2098536, -2098537, -2098538?
-2098539
What is the next term in -47395, -94784, -142159, -189514, -236843, -284140, -331399?
-378614
What comes next: -21868, -43716, -65576, -87454, -109356, -131288, -153256?
-175266
What comes next: -18560, -37118, -55676, -74234, -92792, -111350?
-129908
What comes next: -43, -212, -505, -922, -1463?
-2128
What is the next term in -192, -340, -474, -588, -676, -732, -750, -724?
-648
What is next in 1262, 4855, 10844, 19229?
30010
What is next in 179923, 179935, 179959, 180001, 180067?
180163
What comes next: -31, 34, 99, 164?
229
What is the next term in 700992, 700993, 700994?
700995
What comes next: 1371, 1363, 1357, 1353, 1351, 1351?
1353
What is next in -124, -337, -640, -1033?
-1516
What is next in 575, 970, 1201, 1274, 1195, 970, 605?
106
What is the next term in 96479, 96481, 96483, 96485, 96487?
96489
What comes next: 16301, 32602, 48903, 65204?
81505
What comes next: -1140, -2311, -3510, -4737, -5992, -7275?
-8586
What is next in -191, -563, -1563, -3503, -6695, -11451, -18083?
-26903
What is the next term in -23481, -23488, -23495, -23502?
-23509
What comes next: -23128, -46236, -69360, -92494, -115632?
-138768
What comes next: -874, -653, -46, 1139, 3094?
6011
What is the next term in 6255, 12505, 18755?
25005
What is the next term in -7120, -7144, -7170, -7198, -7228, -7260, -7294?
-7330
What is next in -36638, -36602, -36506, -36320, -36014, -35558?
-34922
What is the next term in -448, -1270, -2092, -2914, -3736, -4558?
-5380
What is next in 227, 1846, 6237, 14786, 28879, 49902, 79241, 118282?
168411
What comes next: -3834, -3781, -3728, -3675, -3622?
-3569
What comes next: 136, 273, 416, 565, 720?
881
What comes next: -8748, -8749, -8750, -8751?
-8752
What is next in 2807, 2808, 2811, 2816?
2823
What is next in -399, -804, -1209, -1614, -2019?
-2424
What is the next term in 136, 224, 402, 676, 1052, 1536, 2134, 2852?
3696
What is next in 1454, 1534, 1666, 1850, 2086, 2374?
2714
What comes next: -19858, -39708, -59554, -79396?
-99234
What is the next term in 2400, 2447, 2494, 2541, 2588, 2635?
2682
What is next in 2185, 4365, 6541, 8713, 10881, 13045, 15205?
17361
What is next in 3221, 2891, 2561, 2231, 1901, 1571?
1241
What is the next term in 2216, 4429, 6634, 8825, 10996, 13141?
15254
What is next in -194, -98, -2, 94?
190
What is next in 782, 1284, 1788, 2294, 2802, 3312?
3824
What is the next term in -6877, -6875, -6873, -6871?
-6869
What comes next: 93477, 93480, 93483, 93486, 93489, 93492?
93495
What is the next term in -288835, -288836, -288837, -288838?
-288839
What comes next: 56, 207, 458, 809, 1260, 1811, 2462?
3213
What comes next: -498, -511, -532, -561, -598, -643, -696?
-757
What is next in 953, 1998, 3165, 4454?
5865
What is next in 3590, 3580, 3570, 3560?
3550
What comes next: 157, -303, -1089, -2219, -3711?
-5583
What is the next term in 3232, 13038, 29404, 52330?
81816
What is the next term in -625, -656, -729, -862, -1073, -1380, -1801?
-2354
What comes next: 362, 372, 380, 386, 390, 392, 392?
390
What is the next term in 5301, 10688, 16073, 21456, 26837, 32216?
37593
What comes next: -22251, -22244, -22227, -22194, -22139, -22056, -21939?
-21782
What comes next: 24877, 24878, 24879, 24880, 24881?
24882
What comes next: -5209, -10430, -15661, -20908, -26177, -31474, -36805, -42176?
-47593
What is the next term in -1868, -3733, -5598, -7463?
-9328
What comes next: -237, -562, -977, -1482?
-2077
What is next in -5355, -10687, -15995, -21279?
-26539
What comes next: -161, -397, -633, -869, -1105?
-1341
What comes next: -156392, -312782, -469172?
-625562
What is next in -2506, -2632, -2842, -3136, -3514, -3976, -4522?
-5152
What is the next term in 18843, 37679, 56515, 75351?
94187
What comes next: 4481, 4437, 4393, 4349, 4305, 4261?
4217
What is the next term in 660, 591, 494, 363, 192, -25, -294?
-621
What is next in -138, -163, -200, -249?
-310
What comes next: 2077, 4157, 6239, 8323, 10409?
12497
What is next in 296794, 296793, 296792, 296791, 296790, 296789?
296788
What is next in 480645, 480674, 480713, 480768, 480845, 480950?
481089
What is the next term in 380, 689, 998, 1307, 1616?
1925
What comes next: 386, 710, 1036, 1364, 1694, 2026?
2360
What comes next: 457, 854, 1515, 2440, 3629, 5082, 6799?
8780
What is the next term in 15357, 15358, 15359, 15360, 15361, 15362?
15363
What is the next term in 11561, 46261, 104095, 185063, 289165?
416401
What is the next term in -116, -98, -126, -224, -416, -726?
-1178
What is next in -196, -382, -560, -730, -892, -1046?
-1192
What comes next: 6689, 13374, 20053, 26726, 33393?
40054
What is the next term in -970892, -970882, -970858, -970814, -970744, -970642, -970502, -970318?
-970084
What is the next term in 46962, 46974, 46986?
46998
What comes next: 34653, 69294, 103925, 138540, 173133, 207698?
242229
What comes next: 15515, 31010, 46505, 62000, 77495, 92990?
108485
What is the next term in 179, 295, 279, 65, -413?
-1221
What comes next: -8891, -8888, -8877, -8852, -8807, -8736, -8633, -8492?
-8307
What is next in 89, 148, 203, 254, 301, 344, 383?
418
What is the next term in 127, -37, -201, -365, -529?
-693
What comes next: 487, 971, 1455, 1939?
2423
What comes next: 445, 1776, 3947, 6958, 10809, 15500, 21031?
27402
What comes next: -5214, -5211, -5206, -5199?
-5190
What comes next: -175, -1441, -4877, -11569, -22603, -39065, -62041?
-92617
What comes next: 18020, 36044, 54070, 72098, 90128?
108160
What comes next: 391, 791, 1193, 1597, 2003, 2411, 2821?
3233
What is next in -27, 337, 943, 1791, 2881, 4213?
5787
What is next in -17115, -17114, -17113, -17112, -17111?
-17110
What comes next: -293021, -1172090, -2637205, -4688366, -7325573?
-10548826
What is next in 46055, 184199, 414439, 736775?
1151207
What is next in 1279, 2576, 3871, 5164, 6455, 7744, 9031?
10316
What comes next: -105487, -210979, -316471, -421963?
-527455
What comes next: 1415, 1615, 1829, 2063, 2323?
2615
What is next in -571, -4604, -15551, -36868, -72011, -124436?
-197599
What is the next term in 769, 3108, 7003, 12454?
19461
What is the next term in -2415, -2393, -2371, -2349, -2327, -2305?
-2283
What is the next term in -20739, -20737, -20735, -20733, -20731?
-20729
What comes next: 260, 403, 546?
689
What is next in 31039, 31037, 31035, 31033?
31031
What is the next term in 2689, 2700, 2721, 2758, 2817?
2904
What comes next: 2280, 4574, 6872, 9174, 11480?
13790
What is next in -547, -532, -509, -478, -439, -392, -337?
-274
What is the next term in -5, 308, 847, 1624, 2651, 3940?
5503
W
|
{
"pile_set_name": "DM Mathematics"
}
|
and 4.
4
What is the highest common divisor of 8622 and 18?
18
What is the highest common factor of 705 and 188?
47
What is the highest common factor of 54 and 4626?
18
What is the greatest common factor of 2148 and 84?
12
Calculate the greatest common divisor of 1484 and 21147.
371
What is the greatest common divisor of 3170 and 10?
10
What is the greatest common factor of 72 and 63?
9
What is the highest common divisor of 19924 and 136?
68
What is the greatest common factor of 210 and 98?
14
What is the greatest common divisor of 2 and 1270?
2
What is the highest common factor of 180 and 90?
90
Calculate the greatest common divisor of 154 and 42.
14
Calculate the greatest common factor of 2196 and 216.
36
What is the greatest common factor of 176 and 136?
8
Calculate the highest common divisor of 693 and 252.
63
Calculate the highest common divisor of 142 and 4118.
142
Calculate the greatest common factor of 24886 and 46.
46
Calculate the greatest common factor of 8021 and 13.
13
Calculate the greatest common factor of 220 and 550.
110
What is the greatest common divisor of 104 and 39?
13
Calculate the highest common divisor of 120 and 740.
20
Calculate the highest common divisor of 25 and 175.
25
What is the greatest common factor of 67097 and 229?
229
Calculate the greatest common divisor of 39 and 637.
13
What is the greatest common factor of 2250 and 275?
25
Calculate the greatest common factor of 81 and 351.
27
What is the greatest common divisor of 913 and 121?
11
What is the greatest common divisor of 623 and 712?
89
Calculate the greatest common factor of 140 and 200.
20
What is the highest common factor of 99 and 3168?
99
Calculate the highest common divisor of 3143 and 35.
7
What is the highest common factor of 357 and 17?
17
What is the greatest common divisor of 2 and 146?
2
Calculate the greatest common factor of 3473 and 302.
151
What is the highest common divisor of 1272 and 2067?
159
Calculate the greatest common divisor of 600 and 80.
40
Calculate the greatest common factor of 403 and 13.
13
Calculate the greatest common factor of 10 and 30.
10
What is the greatest common factor of 15247 and 193?
193
What is the greatest common factor of 16 and 8?
8
What is the greatest common divisor of 54 and 6291?
27
Calculate the highest common factor of 12 and 3.
3
What is the highest common divisor of 294 and 168?
42
Calculate the highest common factor of 231 and 99.
33
What is the highest common factor of 60 and 114?
6
What is the greatest common factor of 40 and 140?
20
Calculate the greatest common divisor of 13452 and 1368.
228
Calculate the highest common factor of 666 and 18.
18
What is the greatest common divisor of 18 and 174?
6
Calculate the highest common divisor of 245 and 147.
49
Calculate the greatest common divisor of 667 and 29.
29
Calculate the highest common divisor of 1475 and 100.
25
What is the highest common divisor of 93 and 899?
31
What is the highest common factor of 9 and 2385?
9
Calculate the highest common factor of 297 and 66.
33
What is the highest common divisor of 899 and 2759?
31
Calculate the highest common factor of 153 and 1275.
51
What is the highest common divisor of 23 and 22586?
23
Calculate the greatest common divisor of 159 and 53.
53
What is the greatest common divisor of 18944 and 740?
148
What is the highest common factor of 430 and 20?
10
What is the highest common divisor of 10322 and 52?
26
Calculate the highest common divisor of 3924 and 1417.
109
What is the highest common divisor of 133 and 14?
7
Calculate the highest common divisor of 54 and 72.
18
What is the greatest common factor of 3 and 1761?
3
Calculate the highest common divisor of 5 and 335.
5
What is the highest common factor of 132 and 18?
6
Calculate the highest common factor of 42 and 8220.
6
Calculate the highest common factor of 171 and 657.
9
What is the highest common divisor of 20 and 1690?
10
What is the greatest common divisor of 46 and 3588?
46
Calculate the greatest common factor of 1701 and 9.
9
What is the highest common divisor of 32 and 296?
8
What is the greatest common divisor of 288 and 10512?
144
Calculate the highest common factor of 462 and 560.
14
Calculate the highest common divisor of 135 and 9.
9
Calculate the highest common factor of 3060 and 2856.
204
What is the greatest common factor of 350 and 21?
7
What is the highest common factor of 95 and 19?
19
What is the greatest common divisor of 644 and 28?
28
Calculate the greatest common factor of 837 and 54.
27
Calculate the highest common divisor of 1 and 17.
1
Calculate the highest common divisor of 235 and 5.
5
What is the highest common factor of 60 and 36?
12
Calculate the greatest common factor of 23042 and 82.
82
What is the highest common divisor of 2356 and 124?
124
What is the highest common factor of 54 and 6?
6
What is the highest common factor of 72 and 768?
24
What is the highest common factor of 651 and 93?
93
What is the highest common divisor of 80 and 64?
16
Calculate the highest common divisor of 400 and 336.
16
What is the highest common divisor of 3580 and 20?
20
Calculate the greatest common factor of 19 and 25213.
19
What is the greatest common divisor of 27587 and 49?
49
Calculate the highest common divisor of 3459 and 24.
3
Calculate the greatest common divisor of 224 and 96.
32
Calculate the highest common factor of 2 and 722.
2
What is the greatest common factor of 1029 and 784?
49
Calculate the greatest common factor of 37 and 3293.
37
Calculate the greatest common divisor of 595 and 170.
85
What is the highest common divisor of 820 and 20?
20
Calculate the highest common divisor of 128 and 1152.
128
Calculate the greatest common factor of 39 and 351.
39
What is the greatest common factor of 52 and 754?
26
Calculate the highest common factor of 27300 and 156.
156
Calculate the greatest common divisor of 322 and 69.
23
Calculate the highest common divisor of 10348 and 39.
13
Calculate the highest common divisor of 17 and 1989.
17
What is the highest common factor of 10813 and 55?
11
What is the greatest common factor of 15004 and 124?
124
What is the greatest common divisor of 2401 and 49?
49
Calculate the greatest common divisor of 15 and 4965.
15
Calculate the greatest common divisor of 690 and 9890.
230
What is the greatest common divisor of 8960 and 385?
35
What is the greatest common divisor of 8188 and 736?
92
What is the highest common divisor of 2072 and 56?
56
What is the greatest common factor of 928 and 1044?
116
What is the greatest common factor of 297 and 33?
33
Calculate the highest common divisor of 53 and 583.
53
Calculate the highest common divisor of 189 and 81.
27
What is the greatest common divisor of 9272 and 366?
122
Calculate the greatest common divisor of 252 and 57204.
252
Calculate the greatest common divisor of 8 and 26.
2
Calculate the highest common factor of 1 and 341.
1
Calculate the highest common divisor of 65 and 221.
13
Calculate the greatest common divisor of 210 and 6230.
70
Calculate the greatest common divisor of 144 and 4880.
16
Calculate the greatest common factor of 2 and 8.
2
Calculate the greatest common factor of 741 and 78.
39
What is the greatest common divisor of 22 and 2354?
22
What is the greatest common factor of 697 and 779?
41
What is the greatest common factor of 7680 and 16?
16
What is the highest common factor of 282 and 6?
6
What is the greatest common divisor of 10 and 1306?
2
Calculate the greatest common divisor of 180 and 450.
90
Calculate the greatest common divisor of 34 and 374.
34
What is the highest common divisor of 396 and 3924?
36
What is the greatest common divisor of 2072 and 168?
56
Calculate the greatest common divisor of 358 and 4.
2
What is the greatest common divisor of 990 and 216?
18
What is the greatest common factor of 1648 and 5150?
206
What is the greatest common factor of 342 and 54?
18
Calculate the highest common divisor of 1159 and 976.
61
Calculate the highest common divisor of 114 and 2090.
38
Calculate the greatest common factor of 7301 and 149.
149
Calculate the highest common divisor of 162 and 243.
81
What is the highest common factor of 1390 and 139?
139
What is the highest common factor of 1 and 625?
1
Calculate the highest c
|
{
"pile_set_name": "DM Mathematics"
}
|
-5a9 (base 13) to base 10
-984
Convert 695 (base 15) to base 4.
113102
Convert -34523 (base 8) to base 6.
-151535
Convert 204642 (base 7) to base 4.
20213232
Convert -18276 (base 10) to base 8.
-43544
-33675 (base 9) to base 13
-a28c
-a67 (base 14) to base 13
-c1a
Convert 13210 (base 5) to base 8.
2037
What is 1362 (base 7) in base 4?
20112
What is -13425 (base 9) in base 6?
-110035
What is 8511 (base 12) in base 5?
431212
What is 126 (base 10) in base 16?
7e
23b9 (base 12) to base 10
4029
41423 (base 5) to base 2
101010110010
Convert -10524 (base 15) to base 9.
-78027
What is -110010001100 (base 2) in base 11?
-2460
Convert 2013 (base 6) to base 12.
309
-1252 (base 10) to base 12
-884
Convert -c9c (base 16) to base 8.
-6234
-514 (base 8) to base 7
-653
What is 325 (base 14) in base 3?
212000
Convert -1000100 (base 2) to base 7.
-125
Convert 13531 (base 11) to base 15.
5a9d
Convert -79c (base 14) to base 3.
-2001221
102002012 (base 3) to base 6
101222
Convert 27211 (base 10) to base 14.
9cb9
What is -144a (base 15) in base 3?
-12221221
Convert 469 (base 14) to base 2.
1101101101
Convert 25c1 (base 13) to base 12.
3158
Convert 16913 (base 12) to base 14.
bb55
What is -11785 (base 10) in base 12?
-69a1
What is -2495 (base 14) in base 11?
-48a1
-986 (base 13) to base 8
-3137
-5423 (base 6) to base 11
-a27
What is 1101110010000 (base 2) in base 3?
100200100
What is -1432 (base 8) in base 14?
-40a
What is -45 (base 9) in base 11?
-38
What is 2706 (base 10) in base 3?
10201020
What is 822 (base 11) in base 10?
992
Convert 101001 (base 3) to base 16.
10f
Convert -100111011000111 (base 2) to base 14.
-74c7
Convert 26305 (base 7) to base 9.
10551
What is -23 (base 13) in base 11?
-27
What is -4233221 (base 5) in base 16?
-11595
232343 (base 5) to base 14
3133
233002 (base 5) to base 15
27bc
Convert 31aa (base 14) to base 5.
233303
What is -4755 (base 11) in base 5?
-144411
What is 115 (base 16) in base 7?
544
-1532 (base 7) to base 15
-2ab
Convert 17066 (base 10) to base 5.
1021231
Convert 100100 (base 4) to base 7.
3014
Convert -102221 (base 4) to base 13.
-70a
What is 407b (base 15) in base 2?
11010100110000
Convert 1018 (base 13) to base 9.
3034
-6b0 (base 14) to base 6
-10054
What is 3b5 (base 12) in base 5?
4234
112d (base 16) to base 6
32205
Convert -310123 (base 5) to base 8.
-23466
Convert 584 (base 11) to base 8.
1271
Convert -498 (base 11) to base 10.
-591
Convert 5202 (base 11) to base 9.
10415
3314101 (base 5) to base 12
29275
Convert 5618 (base 11) to base 16.
1ce8
What is 4288 (base 10) in base 9?
5784
Convert 1000211200 (base 3) to base 2.
100111101000111
-111121 (base 3) to base 16
-16f
Convert 3310310 (base 4) to base 6.
200312
-1304 (base 11) to base 6
-11510
2493 (base 13) to base 11
3999
Convert 2470 (base 8) to base 3.
1211111
What is -1322124 (base 6) in base 4?
-101311210
What is d01 (base 14) in base 2?
100111110101
-11000011 (base 3) to base 9
-4004
15405 (base 8) to base 9
10435
Convert -a32 (base 11) to base 15.
-580
What is 13c5a (base 15) in base 9?
106134
What is -211112102 (base 3) in base 12?
-960b
Convert 221 (base 14) to base 5.
3141
What is 1261 (base 9) in base 7?
2521
What is 25 (base 11) in base 2?
11011
What is -11602 (base 7) in base 11?
-2314
What is 1366 (base 16) in base 4?
1031212
Convert -453 (base 13) to base 9.
-1016
Convert 101001010001 (base 2) to base 9.
3554
Convert 110001111 (base 2) to base 6.
1503
-1024041 (base 5) to base 16
-43f4
-2011 (base 6) to base 9
-537
What is -110001100010 (base 2) in base 11?
-2422
Convert 10c (base 16) to base 11.
224
Convert -373 (base 9) to base 10.
-309
What is 2a0 (base 12) in base 7?
1122
What is 2003 (base 5) in base 16?
fd
-1543 (base 7) to base 14
-323
Convert -1022100121 (base 3) to base 14.
-9570
-20133 (base 8) to base 3
-102100210
What is eb44 (base 16) in base 6?
1142500
Convert -2943 (base 14) to base 16.
-1c8f
Convert 28b (base 13) to base 7.
1215
What is 70 (base 15) in base 4?
1221
What is -13620 (base 8) in base 15?
-1bc2
What is -ca (base 14) in base 16?
-b2
What is 4235 (base 6) in base 3?
1022112
What is 4a (base 15) in base 13?
55
What is 133024 (base 6) in base 13?
57c4
What is 8818 (base 16) in base 15?
a4ca
Convert -487b (base 14) to base 9.
-18318
-33114 (base 5) to base 7
-6442
Convert -680 (base 10) to base 5.
-10210
What is -102331 (base 4) in base 13?
-724
Convert -16040 (base 9) to base 16.
-2adb
What is 250 (base 11) in base 10?
297
-38 (base 15) to base 9
-58
20101201 (base 3) to base 10
4663
What is 2222002 (base 3) in base 6?
14002
Convert -48e3 (base 15) to base 11.
-10723
-110311 (base 4) to base 15
-5dd
2796 (base 12) to base 7
16230
What is 48c (base 13) in base 15?
37c
-2121 (base 5) to base 12
-1ba
10010001111101 (base 2) to base 16
247d
Convert -134 (base 8) to base 15.
-62
-4a7 (base 11) to base 6
-2441
What is -101011011 (base 2) in base 16?
-15b
What is -3111203 (base 4) in base 11?
-a2a5
What is -2aa (base 14) in base 12?
-392
What is 111112020 (base 3) in base 14?
3845
Convert -3704 (base 10) to base 4.
-321320
4349 (base 16) to base 13
7ac0
Convert c64 (base 14) to base 16.
988
What is 2585 (base 9) in base 10?
1940
What is 11957 (base 10) in base 6?
131205
Convert 12210220 (base 3) to base 11.
3201
What is 17e (base 15) in base 12?
248
What is 2332321 (base 4) in base 10?
12217
What is -2265 (base 8) in base 2?
-10010110101
Convert 40521 (base 6) to base 9.
7334
What is 245 (base 8) in base 6?
433
Convert 5a3 (base 15) to base 13.
774
10503 (base 6) to base 13
89a
Convert 10013 (base 4) to base 10.
263
Convert 2729 (base 12) to base 11.
3419
Convert -2112001 (base 3) to base 8.
-3455
What is 8636 (base 10) in base 8?
20674
What is -19a0 (base 13) in base 10?
-3848
-342 (base 12) to base 14
-266
201133 (base 5) to base 3
22210201
Convert 3255 (base 6) to base 15.
355
Convert -4112421 (base 5) to base 4.
-100100303
What is 11061 (base 7) in base 12?
1743
Convert 3770 (base 8) to base 15.
910
Convert -198 (base 16) to base 15.
-1c3
What is -30043 (base 5) in base 11?
-1476
Convert -2004440 (base 5) to base 7.
-161626
What is -3280 (base 10) in base 11?
-2512
What is 2017 (base 12) in base 10?
3475
2aec (base 15) to base 11
6a24
Convert 763 (base 8) to base 5.
3444
What is 11 (base 13) in base 2?
1110
Convert -4d74 (base 16) to base 3.
-1000012101
Convert 66c4 (base 16) to base 12.
13284
What is -2b409 (base 12) in base 16?
-ee89
Convert -12111210 (base 4) to base 8.
-62544
What is -400 (base 8) in base 14?
-144
What is -3e8 (base 15) in base 4?
-31331
Convert 7fc (base 16) to base 6.
13244
7c (base 13) to base 4
1213
-11177 (base 10) to base 8
-25651
Convert 14221 (base 5) to base 9.
1557
-726 (base 8) to base 14
-258
Convert 3242 (base 5) to base 16.
1bf
What is 1012121221 (base 3) in base 12?
11921
Convert 13010 (base 4) to base 16.
1c4
What is -14514 (base 12) in base 3?
-1102221021
-d0 (base 15) to base 8
-303
-cd (base 16) to base 10
-205
What is 1d9 (base 15) in base 7?
1152
What is -3239 (base 13) in base 7?
-26225
Convert -100001001010 (base 2) to base 10.
-2122
54636 (base 7) to base 11
a323
What is 1010 (base 5) in base 14?
94
589 (base 14) to base 9
1453
What is -24d9 (base 16) in base 9?
-13841
-6a3 (base 12) to base 2
-1111011011
-1520 (base 6) to base 7
-1122
What is 24 (base 10) in base 12?
20
-25075 (base 8) to base 15
-330d
What is -18d9 (base 14) in base 10?
-4503
What is -22004 (base 5) in base 9?
-2051
What is 1101110 (base 2) in base 7?
215
Convert -465 (base 13) to base 7.
-2133
Convert -20a2 (base 13) to base 14.
-1914
-a817 (base 11) to base 2
-11011111011000
-1012022011 (base 3) to base 11
-16768
What is 122201 (base 3) in base 15?
21d
Convert -2598 (base 13) to base 2.
-1010011110100
60 (base 15) to base 4
1122
Convert 1451 (base 9) to base 3.
1111201
What is 30043 (base 7) in base 6?
53254
28129 (base 10) to base 6
334121
What is -39d0 (base 16) in base 6?
-152304
Convert -75a (base 14) to base 13.
-879
What is 12a (base 15) in base 6?
1121
What is 2032 (base 4) in base 11?
11a
Convert 6baa (base 12) to base 4.
2330302
Convert 2201011012 (base 3) to base 6.
1050522
What is -32215 (base 6) in base 14?
-1867
75 (base 8) to base 2
111101
Convert -311 (base 12) to base 5.
-3240
What is -5f (base 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*p = -5*t + 12 for t.
3
Solve -5*p + 4*v + 8 = 0, 0 = -2*p + v + 1 + 4 for p.
4
Solve -1 = b - 6*p + 7*p, 0 = 4*b - 2*p + 4 for b.
-1
Solve 5*q = -4*i - 30, -4*i = -q + 15 + 3 for q.
-2
Solve -35 = 5*r - 2*n, -2*r - 4*n - 23 = -33 for r.
-5
Solve -p + 4*p = 12, 5*h + 9 = p for h.
-1
Solve 3*c - 16 = -0*c + 2*g, 3*c + 19 = -5*g for c.
2
Solve -3*q - 2*n + 1 = 0, -q = 4*n - 3*n - 2 for q.
-3
Solve 17*o + 4 = 13*o - 5*i, -5*o - 5*i = 5 for o.
-1
Solve 0 = -a + 4*a + 6, 2*h + 0*a = a for h.
-1
Solve -u + 3*z = 2*u + 9, 3*u - 4*z + 7 = 0 for u.
-5
Solve -q - k + 18 = 28, 0 = -4*k - 20 for q.
-5
Solve 3*l = 2*g - 13, g = -g - l - 7 for g.
-1
Solve 3*a - 13*b - 14 = 0, 11*a - 10*a - 5*b - 6 = 0 for a.
-4
Solve b + 3 = 0, -2*c = -8*b + 4*b - 12 for c.
0
Solve -j = -2*g - 5, -j = 2*g - 9 + 4 for j.
5
Solve 2*s - 5*h = -23 - 0, 2*s + 8 = 2*h for s.
1
Solve -3*k + 6 = 2*j, 4*k - 4*j - 12 = 16 for k.
4
Solve -3*k = -7*k - 4*o + 28, 0 = 4*k - 4*o - 4 for k.
4
Solve 3*a = 3*i + 9, 5*a = 3*i - 7*i - 12 for i.
-3
Solve -o + 12 = -2*a, -9*o + 5*o + 8 = 0 for a.
-5
Solve u = -4*n - 8, 3*n = 2*u - 14 - 3 for n.
-3
Solve 15 = 5*c + 3*g, -10 - 5 = -5*c - 2*g for c.
3
Solve 5*d - 3 = 4*o - 14, 3*d = -2*o + 11 for d.
1
Solve 3 = m + m + t, -5*t - 24 = -3*m for m.
3
Solve -q + 1 = l, 155*l - 156*l + 1 = -5*q for q.
0
Solve -4*u + 4*o = 28, -4*u + 8 = 4*o + 20 for u.
-5
Solve -2*v = -5*y - 8 + 4, -y = 2 for v.
-3
Solve 7*v - 11*v + y = -5, -5*y = -3*v - 9 for v.
2
Solve -5*s - 8 - 7 = -g, 2*g + 26 = -4*s for g.
-5
Solve -i + 3*s + 5 = -3*i, 2*i + 5*s = -3 for i.
-4
Solve 15 = -5*r, f - 13 = 3*f + r for f.
-5
Solve -94*v - o = -91*v + 14, 4*v - 3*o = -23 for v.
-5
Solve 2*q + 5*b + 10 = 0, 8 = -19*q + 15*q - 4*b for q.
0
Solve -3*b + 8*h - 4*h = -6, 2*h + 12 = -3*b for b.
-2
Solve -5*b = -4*v - v + 35, 10 = 4*v + 5*b for v.
5
Solve 5*y - r + 15 = 0, 1 = 2*y + 2*r - r for y.
-2
Solve 3*q - 22 = 2*b - 0, -3*q + 32 = -4*b for q.
4
Solve v + 18 + 3 = 5*w, 4*v = -5*w + 41 for v.
4
Solve 0 = 5*w - 4*m - 11, -w = -2*w - 2*m + 5 for w.
3
Solve -6*a - v = -3*a + 6, -a - 2 = v for a.
-2
Solve 2*f + 5 = c, -5*f = -9*f + c - 9 for f.
-2
Solve -g - 12 = 2*t, 2*g - 3*t = 1 + 3 for g.
-4
Solve 0 = 3*y + 2*q - 21, -3*y - 10*q + 13*q + 6 = 0 for y.
5
Solve z = -5*f - 25, 4*f + 4*z = z - 31 for f.
-4
Solve -5 = -y - f - 2*f, -f = 0 for y.
5
Solve -5*h + 20 = -5*i, 15*h + 2*i = 14*h + 1 for h.
3
Solve -q + 3*m + 4 = 21, 4*q - 3*m + 32 = 0 for q.
-5
Solve 0*z - z + 23 = -5*w, w + 7 = -z for w.
-5
Solve 2*h + 6 = 0, -17*b - 13 = -13*b - h for b.
-4
Solve -9 = -3*t - 3*p + 12, 0 = 5*t - p - 23 for t.
5
Solve 2*m + 28 = b + 3*b, -20 = -4*b for m.
-4
Solve 18 = -4*k - 5*m, -5*k = 2*m + 16 - 2 for k.
-2
Solve -m + 0*m - 1 = -p, -3*m - 15 = 0 for p.
-4
Solve 4*k + 5 = -3*d + 28, 29 = 5*d + 2*k for d.
5
Solve -2*c + 5*c = -3*a + 15, 3*a - 3 = 0 for c.
4
Solve 3*s - 3*a - 2*a = -12, 5*s - a - 2 = 0 for s.
1
Solve -4*d + 32 = -3*w, 0*w - d - 11 = 4*w for w.
-4
Solve 2*d - 4*k = d + 8, -12 = -2*d + 4*k for d.
4
Solve -3*h + 15 = -6*h - 4*m, 5*h + 3*m + 14 = 0 for h.
-1
Solve 3*i = 2*t + 21, -8*t = 3*i - 4*t - 3 for i.
5
Solve -x + 2*x - 2 = -2*u, -5*u = 3*x - 5 for x.
0
Solve -5*d + 2*d = -y + 5, -5*d - 12 = 2*y for d.
-2
Solve 3*f + 21 = -2*o + 9, -f - 2*o = 8 for f.
-2
Solve -2*i - 6 = 0, 2*a + i + 7 = -2 for a.
-3
Solve 0 = 3*n - 5*j - 19 - 9, 0 = 4*n - j - 9 for n.
1
Solve -5*d - 17 = 36*y - 38*y, -2*d = -6*y - 14 for y.
-4
Solve 0 = -4*z - 4*r - 20, -5*r + 6 - 21 = 0 for z.
-2
Solve -2*w - 5*m + 23 = 0, 2*w = -2*w - 2*m + 6 for w.
-1
Solve -2*i + 4*t = -0*t - 18, 0 = -4*i + 4*t + 24 for i.
3
Solve -3*m = -u - 2*u, 2*m = u + 5 for m.
5
Solve -5*j + 15 = -5*o, -15 = 4*o - 3*j - 6 for o.
0
Solve -5*b + m - 10 = 0, -2*m + 6 = -5*b - 9 for b.
-1
Solve -5*b - 25*l = -29*l - 12, 3*b - 5*l = 15 for b.
0
Solve s = -4*p - 27 + 8, p + 2 = -3*s for s.
1
Solve 41 = -4*b + 5*l, -5*l + 2*l = 3*b - 3 for b.
-4
Solve b + p = 1 - 3, 2*b - 4*p = 26 for b.
3
Solve -2*g = l + 1, -9*g - 11 = -14*g + 2*l for g.
1
Solve y - 5*b + 21 = 2*y, 5*b - 15 = 5*y for y.
1
Solve 4*z + 4 = 0, 4*y + 11 = 8*y + 5*z for y.
4
Solve -3*s + 84 = -4*m + 92, -13 = 2*s + 5*m for s.
-4
Solve 10 = 2*t + 3*f, 3*f + 8 = 3*t - 7 for t.
5
Solve 4*w + 3*m = 7*w - 9, -5 = -2*w + m for w.
2
Solve 5*z - 20 = 3*g, -2*z + 8 = -35*g + 32*g for g.
0
Solve x - 2*y = -5, y = -0*y + 2 for x.
-1
Solve -2*o - 5*j = -0*j + 4, 0 = -2*j for o.
-2
Solve -3*u - 4*a - 1 = -2, 3*u - 5*a - 19 = 0 for u.
3
Solve b = m - 4*b - 7, 0 = -5*m - 4*b - 23 for m.
-3
Solve 281 - 273 = z + 2*v, z - 4 = 2*v for z.
6
Solve 3*r = 2*v + 5 - 16, -4*r + 4*v - 16 = 0 for r.
-3
Solve 11*i = 15*i - 16, -2*i = 2*o - 16 for o.
4
Solve 7*j - 3*j = -3*p + 16, -5*p + 4*j - 16 = 0 for p.
0
Solve 3*l + 2*h - h + 8 = 0, -4*l + 3*h - 28 = 0 for l.
-4
Solve 3*m - h - 12 = 0, -3*h = 5*m - 7*h - 20 for m.
4
Solve 2*x = -y, -38*y + 33*y + 15 = -5*x for x.
-1
Solve -3*o + 2 = 5*w, 118 = 3*w + 115 for o.
-1
Solve -3*d - 18 = 0, -a - 120*d + 117*d = 14 for a.
4
Solve -5*s + 4*f - 7 = -10, -2*f = s - 9 for s.
3
Solve 2*z + 4*s = 14, -s + 17 = -z + 3*s for z.
-1
Solve 3*v - 11 = 5*z + 4*v, 5*v = -z - 7 for z.
-2
Solve 3*w + 11 = -4*u + 9*u, w + 7 = 5*u for u.
1
Solve -4*h - c = 0, 5*h - 4*c - 2 = -23 for h.
-1
Solve -3*y - 20 = 25*r - 24*r, 25 = -5*y for r.
-5
Solve 13 = -v - 3*a, -5*v + 4*a = -55 + 25 for v.
2
Solve 0 = -a - h - 8, 27*h - 22 = 2*a + 31*h for a.
-5
Solve -5*l + 26 = 4*h, -4*h + 5 + 3 = -4*l for l.
2
Solve 5*c = 5*y - 30, 0 = -4*y - 2*c - 0*c - 6 for y.
1
Solve -2*p = -2*w + 3 + 1, 2 = 2*p for w.
3
Solve u = 5*u, -j - 1 = -u for j.
-1
Solve -d = -4*n - 0*d + 23, -2*d - 21 = -3*n for n.
5
Solve 5*u = -t + 10, -23*t = -27*t + 4*u - 8 for t.
0
Solve -67 + 61 = 2*o + 5*h, -2 = h for o.
2
Solve 5*c - 5*i + 40 = 0, 22*i - 7 = 4*c + 23*i for c.
-3
Solve 0 = -5*r + 3*r + 3*f - 3, 4*r - 3 = 3*f for r.
3
Solve 4*d + 3*z + 4 = 0, 19 - 15 = z for d.
-4
Solve l = -4*j + 25, -5*j + 3*l = -8 - 2 for j.
5
Solve 0*a = -2*a + 3*w - 4, -4*a = 2*w + 24 for a.
-5
Solve 0 = -2*d + 3*g - 9 - 3, d + 3*g = 3 for d.
-3
Solve -2*w = 3*x + 13, 31*w = 34*w + 6 for x.
-3
Solve 4*c + 13 = 5*k, -8*k = 2*c - 4*k for c.
-2
Solve 2*w + w - 9 = 2*i, -2*w + i = -5 for w.
1
Solve 5*z - 3*b - 6 = 6, -2*b = 4*z - 14 for z.
3
Solve 26 = -3*w + 5*w + 4*b, -w = 3*b - 18 for w.
3
Solve -v - 10 = -3*q, 4*q - 16*v - 20 = -13*v for q.
2
Solve -5*q + 3*r = -q + 1, -q + 5*r = -21 for q.
-4
Solve 0 = p + 3*j + 7, 18 = 3*p - 4*j - 0*j for p.
2
Solve -5*t + p - 8 = 0, 4*t = -6*p + 3*p - 14 for t.
-2
Solve 4*m = -14*n + 17*n, 4*m = 5*n + 8 for m.
-3
Solve -2*f + 2*i + 4 = -2, 0 = -3*f + 5*i + 15 for f.
0
Solve 2*g = 4*z - 2*z + 4, -4*z - 14 = 2*g for z.
-3
Solve -2*x + 3*d + 21 = -0, -d = 5 for x.
3
Solve -d + 4*m + 3 = 2, -4*d - 15 = 3*m for d.
-3
Solve 98*m = -2*s + 96*m + 6, -m = -s - 13 for s.
-5
Solve 5*u + 10 = f, -5*u = -3*f + 11 - 1 for u.
-2
Solve -2*m - 13 = 3*x, 0 = 2*m - m + x + 5 for m.
-2
Solve -5*g = 3*m - 12, 8 = 2*m + g - 2*g for m.
4
Solve -4*x = -4*l, 3*x + 8 = l - 0*x for l.
-4
Solve 2*z = 3*v + 1, v - 4*z - 8 = -25 for v.
3
Solve -4*j - 27 = 5*f, -j - 2 = 1 for f.
-3
Solve 2*v + 4*a = 18, -5*v + 3*a - 2*a = -1 for v.
1
Solve -4*g = -5*x + 20, g - 3*x = -2 - 3 for g.
-5
Solve w - 5*i - 8 = 0, -118*w - i - 6 = -116*w for w.
-2
Solve 4*q - 5*z - 11 = -2*z, 11 = 5*q - z for q.
2
Solve -5*z = -5*l - 40, 9*z = -5*l + 12*z - 30 for l.
-3
Solve -2*y = -3*i - 4, -i + 4*i = 0 for y.
2
Solve 0 = -k - 5*a + 6, -15 = 5*k + 3*a - 1 for k.
-4
Solve 51*m - 46*m - 6 = l, -8 = -2*l for m.
2
Solve 4*n + 24 = -4*j + 8, 10 = -2*n for j.
1
Solve -i - 1380*q = -1382*q - 6, -5*q - 8 = i for i.
2
Solve 3*x + 143*p = 139*p - 10, 4*x = p - 26 for x.
-6
Solve -2*w + 24 = 2*w - 4*t, 3*w = 5*t + 24 for w.
3
Solve 7*l = 5*l - 4*v + 2, -2*l + 18 = -4*v for l.
5
Solve 0 = r - 2*i + 2, -8 = 67*r - 66*r + 4*i for r.
-4
Solve 3*f - 5*q = -9, -3*f = -5*f - 3*q + 13 for f.
2
Solve -16 = -4*m - 2*k, -4*m + 8 + 10 = k for m.
5
Solve 4*f + 4*x + 2 = -2, 4*f + x - 11 = 0 for f.
4
Solve 5 = -6*k + k, -k + 2 = -3*s for s.
-1
Solve 2*b + 3*s + 8 = s, -4*b - 21 = -s for b.
-5
Solve 12 = 3*u, -2*s - 3*s + 3*u + 13 = 0 for s.
5
Solve 4*r - 10*w = -8*w + 6, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 344*l + 67*l + 345*l.
782*l
Collect the terms in -1005*w**2 - w + w + 2*w**3 - 4*w**3.
-2*w**3 - 1005*w**2
Collect the terms in -5*z**2 - 17*z**2 + 2*z**2 + 34*z**2.
14*z**2
Collect the terms in -22*d**2 - d**2 - 9*d**2 + 7*d**2.
-25*d**2
Collect the terms in -6*o**2 + 161*o**2 + 91*o**2 - 65*o**2.
181*o**2
Collect the terms in -3*p**2 + 7*p**2 - 15*p - 87*p - 2*p**2 - 6*p**2.
-4*p**2 - 102*p
Collect the terms in 28*z**2 + 199*z**2 + 63*z**2.
290*z**2
Collect the terms in -1125*x + 4882*x + 2552*x - 895*x.
5414*x
Collect the terms in 7766*z**2 + 110*z - z**3 - 110*z.
-z**3 + 7766*z**2
Collect the terms in 2*b - 4 + 5*b - 18*b**3 - b - 6*b.
-18*b**3 - 4
Collect the terms in 789*t - 2048*t - 1853*t + 124*t.
-2988*t
Collect the terms in -34452*r**2 + 27 + 10*r**3 + 34452*r**2.
10*r**3 + 27
Collect the terms in 78031 - 158003 + 2*k**2 + 79972.
2*k**2
Collect the terms in 5*i**3 + 13*i**3 - 7*i**3 + 16*i**3 - 7*i**3.
20*i**3
Collect the terms in -56*f**3 - 2063 + 851*f**3 + 2063.
795*f**3
Collect the terms in 71936 - 71936 + 11*u.
11*u
Collect the terms in 2*n + 44*n**3 + 71*n**3 - 25*n**2 - 3*n.
115*n**3 - 25*n**2 - n
Collect the terms in 136*y**2 + 76*y**2 + 196 - 195.
212*y**2 + 1
Collect the terms in f + 925*f**2 - 1880*f**2 + 952*f**2.
-3*f**2 + f
Collect the terms in -320*j**2 - 653 + 320*j**2 + 2*j**3.
2*j**3 - 653
Collect the terms in 28 + 601 + 0*b**2 - b**2 - 629.
-b**2
Collect the terms in -9*c + 31*c + 21*c - 6*c.
37*c
Collect the terms in -548649 + 7*m - 548646 + 1097291.
7*m - 4
Collect the terms in 288*c**3 + 3 - 12 + 9.
288*c**3
Collect the terms in 10*j**3 + 10*j**3 + 6*j**3 + 1364*j**2 - 25*j**3 - 1373*j**2.
j**3 - 9*j**2
Collect the terms in -582*o**3 + 117*o**2 - 223*o**2 + 106*o**2.
-582*o**3
Collect the terms in 3*g**2 + 32525 - 32525.
3*g**2
Collect the terms in 2489 - 4909 + 2420 + 24*c.
24*c
Collect the terms in -38*f - 47*f - 44*f - 24 + 132*f.
3*f - 24
Collect the terms in -12*f + 79*f - 61*f.
6*f
Collect the terms in 8994*f - 8960*f + 3 - 3.
34*f
Collect the terms in -511*i + 1788 - 1788.
-511*i
Collect the terms in -9469897*v**3 - 9469895*v**3 + 18939787*v**3.
-5*v**3
Collect the terms in -2 - 68*r**2 - 43*r**2 - 59*r**2.
-170*r**2 - 2
Collect the terms in -6100*l + 6*l**3 - 6*l**3 - 2*l**3.
-2*l**3 - 6100*l
Collect the terms in 556 + 2*b**2 + 286 - b**2 + 6370.
b**2 + 7212
Collect the terms in -383821 + 383821 + 6*v**3.
6*v**3
Collect the terms in -q**3 - 47*q**2 + 35*q**2 + 12*q**2.
-q**3
Collect the terms in -440 - 17*r**2 + 441 + 7*r**2 + 2*r**2.
-8*r**2 + 1
Collect the terms in -17*u + 113*u - 128*u.
-32*u
Collect the terms in -153*s**3 + 361*s**3 - 212*s**3.
-4*s**3
Collect the terms in 139 + 4828*t - 4831*t - 139.
-3*t
Collect the terms in 359389*l + 359396*l - 718793*l.
-8*l
Collect the terms in -24 - 54*f**3 + 12 + 7 + 6*f**3 + 7.
-48*f**3 + 2
Collect the terms in -1 + 1 + 38*t**2 + 24*t**2 - 113*t**3.
-113*t**3 + 62*t**2
Collect the terms in 0*m - m - 608 - 234 - 217.
-m - 1059
Collect the terms in -4*l + 183*l**2 - 184*l**2 + 6*l - 2*l.
-l**2
Collect the terms in 8 - 35*t**2 - 8 + 19*t**2 + 18*t**2.
2*t**2
Collect the terms in 1478*z**2 - 149*z**2 - 1327*z**2.
2*z**2
Collect the terms in 7349019*h**2 - 32*h**3 - 7349019*h**2 - 12*h**3 - 2.
-44*h**3 - 2
Collect the terms in -303*g**3 + 1 + 293*g**3 + 1 - 2*g**2 - 2.
-10*g**3 - 2*g**2
Collect the terms in 4 - 4 - 1454*n - 611*n**2 + 611*n**2 + 2*n**3.
2*n**3 - 1454*n
Collect the terms in -1474*n - 496*n + 243*n.
-1727*n
Collect the terms in 17 - 45 - 582*a + 1171*a - 584*a.
5*a - 28
Collect the terms in -32*w**2 - 210*w + 70*w + 71*w + 69*w.
-32*w**2
Collect the terms in 391*g - 47*g - 1 + 4 + 29*g.
373*g + 3
Collect the terms in 132714*t**2 - 83201*t**2 + 108386*t**2.
157899*t**2
Collect the terms in 44*u - 44*u - 665*u**3.
-665*u**3
Collect the terms in 7*u**3 - 6*u**3 + 772*u - 772*u - 2*u**3.
-u**3
Collect the terms in 3984 + 4781 - 8765 + 5*v.
5*v
Collect the terms in -1392581544*f + 4*f**2 + 1392581544*f.
4*f**2
Collect the terms in 8243 - 4145 + 18*i - 4098.
18*i
Collect the terms in 202632*i**2 + 81629*i**2 + 205821*i**2.
490082*i**2
Collect the terms in -14*v + 102*v - 28*v - 21*v - 15*v - 18*v.
6*v
Collect the terms in -228442*s**2 - 1 + 5899*s**2 + 0.
-222543*s**2 - 1
Collect the terms in 0*x - 4*x + 3 - 12 - 4 + 35.
-4*x + 22
Collect the terms in 5652 + 5729 - 11381 + 5*t.
5*t
Collect the terms in -45*l - 30*l**3 - 33*l + 16*l**3 - 40*l**3.
-54*l**3 - 78*l
Collect the terms in 52*k**2 - 602*k + 2*k**3 + 34*k**2 - 86*k**2.
2*k**3 - 602*k
Collect the terms in 7*n**2 + 9*n**2 + 6*n**2 + 6*n**2.
28*n**2
Collect the terms in -g - 1 + 8 - 32*g - 6.
-33*g + 1
Collect the terms in 278*u - 2*u**3 + 271*u - 524*u + 5*u**3.
3*u**3 + 25*u
Collect the terms in 2249*n**3 + 16 - 38 + 22 - 2250*n**3.
-n**3
Collect the terms in 509*v + 4*v**2 - 168*v - 172*v - 169*v.
4*v**2
Collect the terms in p**2 + 85211138*p**3 - p**2 - 85211136*p**3.
2*p**3
Collect the terms in 44*x - 99 - 74*x + 33*x.
3*x - 99
Collect the terms in 474*p**2 - 4000*p - 238*p**2 + 4000*p - 233*p**2.
3*p**2
Collect the terms in 2*l**2 - 2*l**2 + 2586*l**3 + 2500*l**3 - 4894*l**3.
192*l**3
Collect the terms in 24*c**3 - 30*c**3 + 6*c**3 + 149*c**3.
149*c**3
Collect the terms in 426*n**3 - 1254*n**3 + 433*n**3 + 396*n**3.
n**3
Collect the terms in 96*l**2 + 155*l**2 + 3*l**2 + 38*l**2 + 25*l**2.
317*l**2
Collect the terms in 2*x**2 - 12*x**2 + 11*x**3 + 4*x + 4*x.
11*x**3 - 10*x**2 + 8*x
Collect the terms in -15*z**2 + 1942 - 3724 + 1782.
-15*z**2
Collect the terms in -58*k + 1241*k + 2*k**2 + 217*k + 40*k.
2*k**2 + 1440*k
Collect the terms in 5*r**3 + 9*r**3 + 2*r - 6*r**3 + 18*r - 4*r.
8*r**3 + 16*r
Collect the terms in -4*j - 2056116374*j**3 + 4*j + 1 - 1 + 2056116423*j**3.
49*j**3
Collect the terms in -770*m**2 - 153*m - 145*m - 144*m + 442*m.
-770*m**2
Collect the terms in 188*r + 57*r + 80*r.
325*r
Collect the terms in 25*k**2 + 27*k**2 + 26*k**2 - 100*k**2 + 18*k**2.
-4*k**2
Collect the terms in -119 + 40 + 79 + 11*f**2.
11*f**2
Collect the terms in -461*g + 28*g - 380*g - 130*g.
-943*g
Collect the terms in 17068 - 8537 - 8536 - 3*j**2.
-3*j**2 - 5
Collect the terms in 0 - 3972428*y**2 + 0 + 3972407*y**2.
-21*y**2
Collect the terms in -l**2 - 1455*l**3 + 3*l**2 - 2*l**2 + 1459*l**3.
4*l**3
Collect the terms in 2610631*c**2 - 2610631*c**2 + 12*c**3.
12*c**3
Collect the terms in -362485*i**2 - 3*i**3 + 362485*i**2.
-3*i**3
Collect the terms in -115*t**2 + 329*t + 44 - 44 - 329*t.
-115*t**2
Collect the terms in 54 - 159 - 34*v + 55 + 50.
-34*v
Collect the terms in -3*a + 4*a + 12*a**3 + 20*a**3 + 0*a - 11*a**3.
21*a**3 + a
Collect the terms in -708595*j + 708595*j - 128*j**3.
-128*j**3
Collect the terms in 55*v + 4 + 178*v - 277*v - 4 + 47*v.
3*v
Collect the terms in 9*l**2 + 11*l**2 + 5*l**3 - 4*l**2 - 81*l**3.
-76*l**3 + 16*l**2
Collect the terms in -249*c + 5 - 5 + 242*c.
-7*c
Collect the terms in -4*h + 8*h + 164*h**3 - 4*h.
164*h**3
Collect the terms in -45*p**2 - 71*p**2 + 47*p**2 - 32*p**2.
-101*p**2
Collect the terms in -75*b**2 - 255*b - 11*b**2 + 256*b.
-86*b**2 + b
Collect the terms in -1296012*v + 2 + 4 - 6.
-1296012*v
Collect the terms in 3*c**3 + 385*c**2 + 488*c**2 - 3*c + 91*c**2.
3*c**3 + 964*c**2 - 3*c
Collect the terms in -9*x + 112*x**3 - 12*x + 43*x - 19*x - 33*x**3.
79*x**3 + 3*x
Collect the terms in -4661*c + 126 - 63 - 63.
-4661*c
Collect the terms in 16*r**3 + 9517 - 7*r**3 - 9517 - 8*r**3.
r**3
Collect the terms in -77*q - 275*q - 505*q - 273*q.
-1130*q
Collect the terms in -21875*i**2 - 21876*i**2 + 43752*i**2.
i**2
Collect the terms in 20166*s - 20166*s - 22*s**3.
-22*s**3
Collect the terms in 72 + 10*l - 7*l + 19 + 16*l.
19*l + 91
Collect the terms in 1123*o**3 - 545*o**3 - 583*o**3.
-5*o**3
Collect the terms in -735 + 187 + 181 + 187 + 25*q**2 + 180.
25*q**2
Collect the terms in 2*m**2 + 171 - 3*m**2 - 8.
-m**2 + 163
Collect the terms in 23 - 34 - 20*w + 33*w + 8.
13*w - 3
Collect the terms in -43369*f**3 + 21694*f**3 + 21684*f**3.
9*f**3
Collect the terms in 904*q + 872*q - 1924*q.
-148*q
Collect the terms in -1696*a + 1 - 1 + 0 + 1 + 1701*a.
5*a + 1
Collect the terms in 76*q**2 + 36*q - 427*q - 48*q.
76*q**2 - 439*q
Collect the terms in -53*k - 3 - 5 - 50*k
|
{
"pile_set_name": "DM Mathematics"
}
|
e -1114*8/(-208) - (-6)/39. Solve -h*b = -41*b + 10 for b.
-5
Let c be ((-1)/3)/(28/1092). Let r(a) = -a - 13. Let i be r(c). Solve i = 5*u + 15 - 0 for u.
-3
Suppose 0 = v - 0*v - 7*v. Solve v = 4*w - 5*w + 4 for w.
4
Let f(w) = -w**2 - 8*w - 7. Let z be f(-6). Let d(y) = -y**3 - 10*y**2 - 9*y + 86. Let i be d(-7). Solve -i*n = -n - z for n.
5
Let l(v) = -v**2 + 2*v + 48. Let j be l(8). Solve j = 7*h + 15 + 6 for h.
-3
Let v(r) = r**2 + 18*r + 24. Let m be v(-16). Let f be ((-35)/14)/(10/m). Solve 2*z = 4*z + f for z.
-1
Let z(m) = m**3 + 4*m**2 - 5*m + 4. Suppose -10 = 12*f - 10*f. Let s be z(f). Solve -i = -s*i for i.
0
Let z = 89 + -78. Suppose b + z = 11. Solve -6 = -b*a + 2*a for a.
-3
Suppose 2*c - 3*d = 12, 20 = -3*c - 5*d - 0. Suppose c = 4*l - 3*l. Suppose 4*o - 12 = -l. Solve -2*h - h = o for h.
-1
Suppose 2*z = 3*z. Suppose -4*g = -2*g - 12. Let i be 1/g + (-55)/(-30). Solve z = -i*w - 3*w - 15 for w.
-3
Suppose -4 = 5*l - 6*l. Solve -2*w - l = 2*w for w.
-1
Let d(g) = g**3 + 14*g**2 + 2*g + 32. Let f = 8 + -22. Let z be d(f). Suppose z*o - 24 = -0. Solve -o = -3*r + r for r.
3
Suppose h - 15 = -3*q + 2*q, -q = -2*h + 21. Let d be (-4)/16 + 27/h. Suppose -d*o = 4*y - 12, 8*o + 45 = 5*y + 3*o. Solve -m = -y*m for m.
0
Suppose -12*y + 137 = -5*y - 3. Let b(w) = w - 1. Let j be b(6). Let p = j + -1. Solve -p*l = -0*l + y for l.
-5
Let f = 4 - -4. Suppose -j + f = j. Solve -2*g - 4 - j = 0 for g.
-4
Let h(m) = -m**3 - 5*m**2 + m + 7. Let v be h(-5). Suppose 0 = -2*a + 7*a - 5, -v*y - a = -5. Solve -y*q - 25 = 3*q for q.
-5
Let h = 13 + -49. Let o be 1/6 - (-114)/h. Let t be o*4/3 - -10. Solve -4*g = -t*g + 4 for g.
2
Let v be (0/(-9 + 3))/1. Suppose v = 4*j - 10 + 6. Solve -8*q = -7*q - j for q.
1
Let d = 24 - 18. Suppose -d*x + x + 15 = 0. Suppose -x*m = -2*m - 4. Solve m = b + 1 for b.
3
Let c(g) be the first derivative of g**2/2 + 12*g - 14. Let n be c(-10). Solve 4*l = n*l for l.
0
Let i(h) = h**2 - 24*h - 46. Let w be i(26). Solve -w*d - 4 + 16 = 0 for d.
2
Suppose 0 = -a + 5, -x + 4*a - 6 - 7 = 0. Solve 5*q - 18 = x for q.
5
Let t be (-1)/((-1)/(-10)*-2). Suppose n + 100 = t*n. Let u = -16 + n. Solve -s - 2*s = u for s.
-3
Suppose 22 = 9*v + 2*v. Suppose -2*a + 10 = 0, -3*r - a - 1 + 18 = 0. Solve v*k - k = r for k.
4
Suppose -5*c + c + 2 = q, 3*c = 2*q - 26. Suppose -5*a - 2*y + 7*y = q, 4*y - 14 = a. Let s = -2 + 5. Solve f - a*f = -s for f.
3
Let u(x) = -2*x + 3. Let i be u(2). Let b be -3 + 11 - (0 - i). Solve 0 = 5*p - b*p + 10 for p.
5
Suppose -7*x + 45 + 95 = 0. Solve -x = 66*q - 62*q for q.
-5
Let y be 1/(-3) + (-148)/(-111). Solve 4*w = y + 15 for w.
4
Let g = 0 - -2. Suppose 2*b = 3*a + 42, g*a - a - 71 = -5*b. Solve -b = j + 2*j for j.
-5
Suppose 0 = 2*f - 3*i - 1, 62*i = 4*f + 63*i - 37. Suppose -20 = -4*v - 0*v. Solve -v*l - 2 = f for l.
-2
Let n be (10/8)/((-3)/(-36)). Suppose 11*s + 4 = n*s. Solve 0 = 2*p + 7 + s for p.
-4
Let n(m) = 5*m - 29. Let o be n(5). Let u be (-12)/5 + (-6)/10. Let q be (-6)/(o/((-12)/u)). Solve 2*i + 0*i + q = 0 for i.
-3
Let p = 301 + -290. Solve -p = -4*i - 3 for i.
2
Let s = -454 - -460. Solve 20*w = 6 - s for w.
0
Let o(r) = -r**3 + 9*r**2 - 3*r + 5. Let w be o(8). Let t = 48 - w. Solve 0 = t*u + 9 + 3 for u.
-4
Let z be -1*(1 + 1) + (-1 - -5). Let u be ((-8)/(-3))/(1/3). Suppose -z = f - u. Solve 2*c - f = 5*c for c.
-2
Let r(n) = -3*n - 4*n + 20 + 5*n + 8. Let m be r(13). Suppose 5*l = 3*l. Solve l = m*o - 7*o - 15 for o.
-3
Let d be 18871/1243 - 2/11. Solve -6*b + d = -9*b for b.
-5
Let n be ((-594)/231)/((-2)/7). Solve -4*d + 1 - n = 0 for d.
-2
Let y = -357 - -370. Solve -y*p - 75 = -10 for p.
-5
Let j(a) = -a**2 - 8. Let h be j(0). Let k(s) = s**2 + 9*s + 16. Let y be k(h). Suppose -3*n = -28 + 7. Solve 5*l + n = -y for l.
-3
Suppose -5*c + 2 + 28 = 0. Let m be 9/6 - -4*c/(-16). Solve m = 9*l - 4*l for l.
0
Let w be (-590)/(-75) - (5 - (-2 + 642/90)). Let x(r) = 3*r**2 - 1. Let l be x(1). Solve -l - w = -5*c for c.
2
Suppose -108*r = -87*r - 168. Solve r*o + 8 = 32 for o.
3
Suppose c = 6*c - 130. Solve -7*m + c = -9 for m.
5
Suppose 0 = -4*a - 1 + 17. Suppose -5 = j, 34 = a*m + 2*j - 0*j. Suppose d = 2*u - m, 5*u - d + 6*d + 10 = 0. Solve 4*s - u + 15 = 0 for s.
-3
Suppose 198*o - 205*o = -245. Solve 3*h - 44 = -o for h.
3
Let a = 426 + -426. Solve 3*t - 12 + 3 = a for t.
3
Suppose -37 = f - 40. Solve 2*u = -f*u for u.
0
Let u = -1 + 2. Suppose 39 = 6*y - 75. Suppose -2*m - 5*a = -y, 0 = 5*a - 3 - 2. Solve 2*p + u = -m for p.
-4
Let f be (-1)/5 - (-610)/50. Solve 34*o - 31*o = f for o.
4
Let v be 435/90 + (-1)/(-6). Suppose 0 = v*u + 4*y - 21, -y + 27 = 5*u - 3*y. Solve -2*h + u*h = 0 for h.
0
Let y = -2 + 2. Suppose 0 = -5*w + 2*w + 24. Suppose h + 3*s = -h + 10, -h - 3*s = -w. Solve y = h*c - 8 + 4 for c.
2
Let g(m) = -m**3 - 10*m**2 - 8*m + 12. Let j(t) = -5*t - 3 + 12*t + 8. Let w be j(-2). Let i be g(w). Solve 1 - i = -l for l.
2
Let d = -16 + 3. Let x = -9 - d. Solve x = g - 1 for g.
5
Let p be (1 - -2) + 11/(-11). Suppose 0 = -p*b - 0*l - 3*l - 12, 2*b - 16 = 4*l. Let g be (b - 2/5)*-15. Solve i = -i + g for i.
3
Suppose -194 = -10*f - 24. Solve f*k = 11*k - 6 for k.
-1
Suppose 5*g - 4*f - 56 = 0, -88*f = -87*f + 4. Solve -t = g*t - 10*t for t.
0
Let b(z) = z**3 - 4*z**2 - 6*z + 3. Let v be b(5). Let p(u) = 2*u + 3*u**3 + 4*u**2 - u**3 + 1 - u**3. Let l be p(v). Solve 6 + 4 = l*i for i.
2
Let z(f) = f**3 - f**2 - 2*f - 1. Let l be z(-2). Let w(b) = b**2 + 6*b - 22. Let k be w(l). Solve -5*x - k = -0*x for x.
-1
Let r(h) = -2*h**2 + 13*h - 6. Let q be r(5). Let p = -7 + q. Suppose -4 + 2 = -v. Solve 0 = 3*w - p*w + v for w.
-2
Let d be 4 + (-1 - 9) + 8. Solve -d*i + 4 = -0 for i.
2
Let j(f) = f + 20. Let d be j(-15). Suppose q - m + 6*m = -20, 0 = 3*q + d*m + 10. Solve 1 = q*a + 11 for a.
-2
Let v = 16 + -23. Let l(j) = -j - 7. Let h be l(v). Suppose 2*f + 4 = 3*b, 0 = 4*b - 4*f - 4. Solve x - b - 2 = h for x.
4
Let q = -113 + 116. Solve q = -5*f + 4*f for f.
-3
Let u be 2*(-1 + 2) - -2. Let z be 820/35 + (-3)/7. Suppose u*h = 3*f + 2*f - 17, -5*f = -h - z. Solve h*j = -3*j + 25 for j.
5
Let v = -33 + 31. Let u be ((-3)/v)/((-7)/(-14)). Let p be (-1 - -5) + u + -2. Solve p*o - 3 = -23 for o.
-4
Let p = 652 + -649. Solve 0*d - p*d - 9 = 0 for d.
-3
Let h = 1620 + -1620. Solve 114*v - 108*v + 12 = h for v.
-2
Let j be (8 + 0)/((-4)/(-6)). Suppose -2*a - 5*b = -26, -5*a = -0*a - 2*b - 94. Let r = a - j. Solve r = -d - d for d.
-3
Suppose 2*j = -o + 9, -3*j = 2*j - 10. Suppose -o*g = -2*r - 24, 4*g - r + 5*r = 36. Solve -5*x - 9 = g for x.
-3
Suppose -o + 6 = -6*n + 2*n, 3*n - 6 = -o. Suppose -3*y = -o - 27. Let u = -10 + y. Solve 0 = -5*c + 4 + u for c.
1
Let j be 3 + ((-6)/2 + 37 - 1). Solve -7*b = 5*b + j for b.
-3
Suppose 31*q + 6 = 32*q. Suppose 8*l + q = 11*l. Solve 0 = -s + 5 - l for s.
3
Let z(o) = o**3 - 3*o + 3. Let t(i) = i**3 - 2*i**2 + 3*i - 3. Let n be t(2). Let p be z(n). Solve -3*m + 6 = p for m.
-5
Let f(c) = c**2 + c + 2. Let s be f(0). Let d(p) = 3*p**2 + 5*p + 4. Let u be d(-2). Suppose h = 4*h - u. Solve -s*r - h*r = -12 for r.
3
Suppose 0 = -43*o + 171*o - 384. Suppose d = 2 - 3, 13 = 3*r - d. Solve m - r = -o*m for m.
1
Suppose -33 = -v - 3*m, -v + 16 = m - 19. Solve v - 31 = -5*d for d.
-1
Suppose -3*y + 5*y - 8 = 0. Suppose 2*n - 132 = -y*n. Let x = -16 + n. Solve -c = -3*c + x for c.
3
Let c be (-6)/(-30) + 1/(-5). Suppose -2 + c = -n. Let m be (n - -1) + 6/2. Solve 0*x - m = 3*x for x.
-2
Let x(a) = 3*a - 16. Let t be x(7). Suppose -t*j = 5*i, -j + 4*j = -3. Let r = i - -4. Solve d + 0 = -r for d.
-5
Let y = -90 + 95. Suppose -y*a = -2*r - 20, 1 = 3*a - 11. Solve 4*b - 7 + 3 = r for b.
1
Suppose 0 = 2*r + 3*m - 22, 5*m + 4 = -2*r + 30. Solve 10*w - 10 = r*w for w.
5
Let m = 1 - -3. Let b be 2 + (-12)/(-16)*m. Suppose 0 = 4*v + b*d - 23, 3*d - 12 = -3*v + d. Solve v*g = -g for g.
0
Suppose 0 = -3*p + 4*k + 3, -k + 4 = -2*p + 1. Let b be -1 + 3 + 1 + p. Solve u = -1 - b for u.
-1
Suppose s - 132 = 3*s. Let o be 20/6*s/(-44). Solve 14 = o*l - 6 for l.
4
Let s(q) = 2*q + 2. Let k be s(1). Suppose 0 = -2*t + k + 12. Suppose -2*d - 3*d = -25. Solve t*l - d*l = 6 for l.
2
Suppose 11 + 1 = 4*d. Let b = 3 - d. Solve j + b - 4 = 0 for j.
4
Suppose q = 5*p
|
{
"pile_set_name": "DM Mathematics"
}
|
, u: 1, b: 1}.
2/9
What is prob of picking 1 r and 3 w when four letters picked without replacement from awawwwawawr?
2/33
Two letters picked without replacement from iilhlpmhxhhmpmi. Give prob of picking 2 p.
1/105
Four letters picked without replacement from pppff. What is prob of picking 1 f and 3 p?
2/5
Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 6, t: 2, s: 10}.
1/136
Three letters picked without replacement from {u: 17, z: 3}. Give prob of picking 3 z.
1/1140
Two letters picked without replacement from xxixxai. Give prob of picking 1 x and 1 a.
4/21
What is prob of picking 1 j and 1 m when two letters picked without replacement from wjwwnwjmwnwwnywyyww?
2/171
Three letters picked without replacement from wqwwwwwqwqwwww. Give prob of picking 3 w.
165/364
What is prob of picking 3 u when three letters picked without replacement from uuuu?
1
Three letters picked without replacement from arrarebrrabrb. Give prob of picking 1 r, 1 b, and 1 e.
9/143
What is prob of picking 1 c and 3 s when four letters picked without replacement from {c: 6, l: 2, s: 7}?
2/13
What is prob of picking 2 e when two letters picked without replacement from ccecec?
1/15
Calculate prob of picking 2 r when two letters picked without replacement from nnrrocnrocnrhn.
6/91
Three letters picked without replacement from gftfgirifgg. What is prob of picking 1 g and 2 i?
4/165
Calculate prob of picking 2 e and 1 u when three letters picked without replacement from eeeuueu.
18/35
Two letters picked without replacement from {y: 5, h: 2, i: 4}. What is prob of picking 2 h?
1/55
What is prob of picking 1 q and 2 r when three letters picked without replacement from rrqqrqiriqrrqqr?
18/65
Three letters picked without replacement from {e: 1, s: 9, t: 4, j: 4, n: 2}. What is prob of picking 1 e and 2 n?
1/1140
What is prob of picking 1 q and 1 f when two letters picked without replacement from {f: 2, x: 6, q: 2, s: 1}?
4/55
Calculate prob of picking 1 x, 1 y, and 1 j when three letters picked without replacement from zxzjycz.
1/35
Four letters picked without replacement from fvoffvvv. What is prob of picking 1 o and 3 f?
1/70
What is prob of picking 4 o when four letters picked without replacement from {o: 8, m: 1, i: 4, r: 3, f: 2, h: 2}?
14/969
Two letters picked without replacement from {d: 1, s: 2, b: 2, y: 4, u: 1}. What is prob of picking 1 d and 1 y?
4/45
Calculate prob of picking 2 g when two letters picked without replacement from gjjaaajgpgjagwowjgja.
1/19
Calculate prob of picking 2 e when two letters picked without replacement from vewdgeggcddgdw.
1/91
Four letters picked without replacement from {r: 2, q: 5, p: 5, j: 3}. Give prob of picking 3 q and 1 p.
10/273
What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 1, y: 3, z: 1, r: 1, d: 3, q: 2}?
2/55
Four letters picked without replacement from jnnqnjqjnjnnjsnnjj. What is prob of picking 2 j, 1 s, and 1 n?
14/255
Three letters picked without replacement from {d: 3, y: 6, e: 2, c: 1}. Give prob of picking 2 d and 1 y.
9/110
Three letters picked without replacement from hhccccchcccccczccccc. What is prob of picking 2 c and 1 z?
2/19
What is prob of picking 1 b and 1 f when two letters picked without replacement from dddvffvvfvvjdvbv?
1/40
What is prob of picking 1 d and 2 j when three letters picked without replacement from {d: 6, j: 6}?
9/22
Calculate prob of picking 2 b and 1 s when three letters picked without replacement from sssbbssssssssbbsbsss.
5/38
Four letters picked without replacement from joaomaoom. What is prob of picking 2 a, 1 m, and 1 j?
1/63
Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {r: 9, q: 1, i: 2, v: 8}.
9/190
Four letters picked without replacement from vlvlvvvvvvvvvvvvvvv. What is prob of picking 1 l and 3 v?
20/57
Calculate prob of picking 2 z, 1 j, and 1 u when four letters picked without replacement from zjujuddjjddjz.
2/143
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from uuvuiilauival.
2/143
Calculate prob of picking 1 t and 2 s when three letters picked without replacement from ststttsttttttttttt.
15/272
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {c: 1, i: 1, s: 1, b: 1, l: 1}.
1/10
Two letters picked without replacement from nmnnwjmojmwnnmwnm. Give prob of picking 1 n and 1 m.
15/68
Calculate prob of picking 2 t when two letters picked without replacement from {e: 1, b: 1, t: 2}.
1/6
Four letters picked without replacement from zpzzzzpzfzzzpzfzzzf. Give prob of picking 3 p and 1 z.
13/3876
Two letters picked without replacement from {b: 7, c: 5}. What is prob of picking 2 b?
7/22
Two letters picked without replacement from rflrlllxflldlllxfxf. Give prob of picking 1 f and 1 x.
4/57
Three letters picked without replacement from mwvgmwvegvggmmgmmvem. Give prob of picking 2 g and 1 w.
1/57
Calculate prob of picking 4 q when four letters picked without replacement from qqrqqqrr.
1/14
Calculate prob of picking 1 m and 1 w when two letters picked without replacement from lmowoil.
1/21
Two letters picked without replacement from arxixxrixaixrxarzrx. Give prob of picking 2 a.
1/57
Two letters picked without replacement from {r: 3, w: 2}. What is prob of picking 1 r and 1 w?
3/5
Calculate prob of picking 2 d when two letters picked without replacement from kcfdlldppfdk.
1/22
Four letters picked without replacement from {r: 7, s: 1, w: 2, m: 4, t: 2}. Give prob of picking 2 r, 1 s, and 1 t.
3/130
What is prob of picking 2 d and 2 a when four letters picked without replacement from tztdtrdzdaooadoa?
9/910
Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {u: 1, b: 5, m: 1, y: 1, w: 2}.
1/120
Three letters picked without replacement from ogialaaglag. Give prob of picking 2 a and 1 i.
2/55
Two letters picked without replacement from nmznn. What is prob of picking 2 n?
3/10
Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {e: 1, m: 3, l: 1, a: 5, u: 1}.
2/33
Three letters picked without replacement from vktpnva. What is prob of picking 1 a, 1 n, and 1 t?
1/35
Calculate prob of picking 2 b, 1 w, and 1 r when four letters picked without replacement from rwrrbrbrrwrgrc.
16/1001
What is prob of picking 3 q when three letters picked without replacement from {c: 5, q: 3, v: 2}?
1/120
Calculate prob of picking 1 g, 2 h, and 1 p when four letters picked without replacement from ghppphhgphphg.
30/143
Two letters picked without replacement from xwwwxwww. Give prob of picking 1 x and 1 w.
3/7
Two letters picked without replacement from hhee. What is prob of picking 2 h?
1/6
Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {a: 6, i: 10, r: 4}.
5/38
Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 8, t: 3, r: 2, e: 3}.
2/15
Two letters picked without replacement from {f: 5, d: 8}. Give prob of picking 2 f.
5/39
Calculate prob of picking 1 a, 1 x, and 2 q when four letters picked without replacement from {q: 2, x: 2, k: 1, a: 8}.
16/715
Calculate prob of picking 1 a and 2 g when three letters picked without replacement from giaibgagaiggaag.
15/91
Two letters picked without replacement from {w: 1, x: 9, i: 1, b: 5}. What is prob of picking 1 i and 1 x?
3/40
What is prob of picking 1 q, 1 u, and 2 k when four letters picked without replacement from {k: 2, u: 1, c: 3, q: 1}?
1/35
What is prob of picking 4 w when four letters picked without replacement from wwwvwuuvwwwwwww?
22/91
Four letters picked without replacement from {m: 7, q: 3}. What is prob of picking 1 q and 3 m?
1/2
What is prob of picking 1 s and 1 b when two letters picked without replacement from {a: 4, s: 2, b: 5}?
2/11
What is prob of picking 2 a and 2 r when four letters picked without replacement from {r: 2, a: 5}?
2/7
What is prob of picking 1 j and 3 x when four letters picked without replacement from xxxxjjx?
4/7
Two letters picked without replacement from qarqu. Give prob of picking 1 u and 1 a.
1/10
Calculate prob of picking 1 d and 1 f when two letters picked without replaceme
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 2 - 4)*(6*b**3 + 0*b**3 + 9*b**3).
24840*b**3
Expand (-1085*b + 2226*b - 3*b**2 - 1059*b)*(-2 - 2*b**3 + 2) + (-1 + 1 - b**3)*(0*b**2 + 5*b**2 - 3*b**2).
4*b**5 - 164*b**4
Expand ((-5*l**2 + 3*l**2 + 3*l**2)*(-2*l**2 - 2*l**2 + 2*l**2) + l**2 - 3*l**4 - l**2)*(20280 - 3076*l - 20280).
15380*l**5
Expand (0 + z**4 + 0)*(-2 - 2 + 6) + 25991 - 987*z**4 - 25991 - z**4 + 0*z + 0*z + (2*z**3 + 0*z**3 + 0*z**3)*(-2*z - 3*z + 4*z).
-988*z**4
Expand (-1 - 2 + 1)*(-2*v**4 - 2*v**4 - 4*v**4) + (96 - 61 + 88)*(v**2 + 2*v**4 - v**2).
262*v**4
Expand -23 + 23 + 6*n**4 - 6*n**4 + 4*n**4 + 18*n**4 - 3 + 3 + 2*n**4 + (3 - 4 + 3)*(-2*n + 2*n + 2*n**4) + 0*n**4 - n**4 + 4*n**4 + 0*n**3 + 0*n**3 + n**4.
32*n**4
Expand (-60 + 60 - 11*x)*(17 - 5 - 63) + 3 + 2*x - 3.
563*x
Expand (-x**2 + 2*x**3 + x**2)*(-11 + 11 + 3*x) + 12*x**4 - 16*x**4 + 2*x**4 + 6*x**4 - 3*x**4 - 4*x**4 + (-3*x**2 + 3*x**2 - x**2)*(-2*x**2 - 7*x**2 + 4*x**2).
8*x**4
Expand 43*t + 437*t - 4 - 115*t + (0*t + 4*t - 3*t)*(-3 - 1 + 5) + 3 - 3 + 2*t + 4*t + 3*t - 5*t + 4*t + 6 - 4 - 2*t.
372*t - 2
Expand -h - 20 + 31 - 19 + (-2 - 1 + 2)*(-3 - 17*h + 3) - 4*h + 7*h - 2*h + (-4 + 2 + 1)*(-6*h + 2*h + 2*h) + h + 3*h - 2*h.
21*h - 8
Expand (918*f - 91880 + 91880)*(2*f**3 - 6*f**3 + f**3) + 4*f**4 - 3*f**4 + 0*f**4.
-2753*f**4
Expand (-61*p - 36*p - 101*p)*(-240*p + 235*p + 2 - 4).
990*p**2 + 396*p
Expand -24*q**5 + 19*q**5 + 16*q**5 + (0*q**2 + 2*q**3 + 0*q**2)*(2*q**2 + 2*q**2 - 6*q**2) + 10*q**5 - 7*q**3 + 7*q**3 + 5*q + 2*q**5 - 5*q.
19*q**5
Expand (97 + 433 - 111 + 279)*(-1 + 3 - 2*i**2 + 0).
-1396*i**2 + 1396
Expand (-2028*f**2 + 76 - 24 + 14 + 2034*f**2)*(5*f + 2*f - 3*f).
24*f**3 + 264*f
Expand -4*g - 3*g + 5*g + (-3 - 3 + 2)*(0*g + 3*g + 0*g) + 2*g - g + g - 24 + 3*g - 417 - 12 - 2*g.
-11*g - 453
Expand -12*q**5 + 83*q**2 - 83*q**2 + (4*q - q**4 - 4*q)*(3 - 3 + 2*q) - 10*q + 10*q + 26*q**5 + q**5 - 5*q**5 + 5*q - 3*q.
8*q**5 + 2*q
Expand -838*n**5 + 1831*n**5 - 34*n**5 + (0*n**2 + n**2 + 0*n**2)*(-5*n**3 + 2*n**3 + n**3) - n**5 - n**5 + 3*n**5.
958*n**5
Expand (3 + z**2 - 3)*(2*z - 82 + 73*z**3 + 80 - 85*z**3).
-12*z**5 + 2*z**3 - 2*z**2
Expand (3*k - 4*k**2 - 3*k)*(3*k + 0*k - k + (-2 + 17 - 7)*(3 + 5*k - 3)).
-168*k**3
Expand -4*j**3 + j**3 + 2*j**3 + (0 - 4 + 1)*(-2*j**3 + 0*j**3 - 3*j**3) - 3 - j**3 + 3 + 10*j**3 - 3 + 3.
23*j**3
Expand 0 + 0 - 2*j**3 + (j + 3*j - 2*j)*(2*j - 2*j + 2*j**2) + (3*j - 3*j + 2*j)*(-j**2 + 2 - 2) + 236*j**3 - 89860*j**2 + 89860*j**2.
236*j**3
Expand (179*y - y + 100*y)*(-2 + 3 - 7 - y).
-278*y**2 - 1668*y
Expand (-6292*z + 30 - 6432*z + 12848*z)*(-3*z + z + 0*z - 5*z + z + 2*z + (1 - z - 1)*(3 - 3 + 2)).
-744*z**2 - 180*z
Expand (-v + 1 - 1)*(-3*v - v + 3*v) - 5*v**2 + 3*v**2 + 3*v**2 + 2*v**2 + 3*v**2 - 3*v**2 + 650*v**2 - 1691*v + 3417*v - 1730*v.
654*v**2 - 4*v
Expand (0*s + 3*s - 2*s)*(-4*s + 1 + 7*s - 21390*s**3 + 21690*s**3).
300*s**4 + 3*s**2 + s
Expand -3*i - 2*i - 7*i + (i + 4*i - 4*i)*(11 - 25 - 19) + 0*i + 3*i + 0*i + 3*i - 5*i + i + 0 + 2*i + 0 + (0*i - 3*i + 4*i)*(2 - 1 - 3) + 7*i - 3*i + 0*i.
-39*i
Expand (4*n - 2*n - 4*n)*(-5*n + 2*n + n) + 0*n**2 + 0*n**2 + n**2 + (-4 + 5 + 0)*(25*n - 25*n + 3*n**2).
8*n**2
Expand (704 + 271 - 1374)*(3 + 5 - 4)*(3*y - 2*y - 4*y).
4788*y
Expand (-4 - 4*l + 4)*(-l**2 - l**2 + 8*l**2) - 56*l**3 + 75*l**3 + 3*l - 6*l + (-3 + 1 + 1)*(-l**3 - l**3 + 4*l**3) - 2*l - l**3 + 2*l.
-8*l**3 - 3*l
Expand 881 + 172*g - 343*g + 170*g - 1 + 1 + 2*g + (-6 + 4 + 0)*(4*g - 3*g - 2*g).
3*g + 881
Expand (-3*x + 3*x + x)*(-1 + 2 - 3)*(1896 + 1572 - 2967)*(-4 + 6 + 1).
-3006*x
Expand (t - 3*t + 3*t)*(-2*t + 3*t - 3*t) + (-3*t - t + 5*t)*(1 - 2*t - 1) - 7*t**2 - 58 + 58 - 7 + 3*t**2 + 7.
-8*t**2
Expand 37*v - 31*v + 13*v + (-2 - v + 2)*(7 + 101 + 16).
-105*v
Expand (-5 + 9 + 2)*(-1 - 546*n**3 + 3 + 628*n**3).
492*n**3 + 12
Expand (-2*t**4 + 0*t**2 + 0*t**2)*(-692 + 990*t - 155*t + 692 + 1600*t).
-4870*t**5
Expand 15*g**4 - 2*g**4 - 3*g**4 + (2*g - g + 0*g)*(3*g**3 - 2*g**3 + 2*g**3) + (-832 + 57*g + 832)*(5*g**2 - 2*g**3 - 5*g**2).
-101*g**4
Expand -3 + 12*g**2 + 3 - 234 + 8*g**2 + 234 + (0*g**2 + 4*g**2 - g**2)*(-1 + 3 - 1) - 2*g**2 - 2*g**2 + 3*g**2.
22*g**2
Expand (-2669*x + 1362*x + 1334*x)*((2*x**2 + 2*x - 2*x)*(0*x**2 + 4*x**2 - 2*x**2) + 3 - 2*x**4 - 3).
54*x**5
Expand 2*v**4 - 2*v**3 + 2*v**3 + (0*v**2 - 2*v**2 + v**2)*(-v**2 + 0*v**2 + 2*v**2) + (-v + v - 8*v)*(-27 - 70*v + 27)*(24*v - 24*v - 7*v**2).
-3919*v**4
Expand (285743*y + 1 - 2 - 285767*y)*(4*y**2 - y**2 - 4*y**2).
24*y**3 + y**2
Expand (7*c**3 + 1915 - 1915 - 11*c**2)*(-11*c**2 + c**2 + 4*c**2).
-42*c**5 + 66*c**4
Expand (2*t**2 - 3*t**2 - t**2)*(-1 + 1 + 1)*(-2878*t - 2 + 6488*t + 2 + 4446*t).
-16112*t**3
Expand (-1 + u**2 + 1)*(3*u**3 - 4*u**3 - u**3) - 4*u**5 + u**5 + 2*u**5 + 142*u**5 - 40*u**4 + 145*u**5 - 283*u**5.
u**5 - 40*u**4
Expand (150 + 2*x - 150)*(5*x - x - x) + 43085 - 255*x**2 - 43085.
-249*x**2
Expand (3*v**2 + 2*v**2 - 3*v**2)*((1 + 1 + 0)*(-2*v - 3*v + 3*v) + 1088 - 1088 + 45*v + (-4 + 4 - 2)*(-3 + 3 - v)).
86*v**3
Expand -6*m - 2*m + m + (1 - 2 - 1)*(2*m + 3 - 3) + (-2 + 0 - 1)*(22 + 27 - 47 - 57*m).
160*m - 6
Expand 0*g**2 - 3*g**2 + 7*g**2 + (-300*g + 609*g + 637*g)*(-1 + 1 + g).
950*g**2
Expand (-2 + 2 - 3*d)*(3 + 4 + 1)*(-298 - 137 + 35).
9600*d
Expand (-31 - 15 - 3)*(-2*b + b + 3*b) + 21*b + 4*b + 11*b.
-62*b
Expand (7*y + 2*y - y)*(-2*y**4 + 1 - 1) + (-2*y**4 + 1 - 1)*(47*y + 54*y + 6 - 125*y).
32*y**5 - 12*y**4
Expand (-c**2 + c**2 - 2*c**2)*(-2*c**3 - 4*c**3 + 4*c**3) + 36*c**5 - 65*c**5 - 58*c**5 + (3*c**3 - 4*c**3 + 4*c**3)*(-16*c + 16*c - 11*c**2).
-116*c**5
Expand (0 + 1 + 2)*(-4*t - 3*t + 4*t + (-t + 5*t - t)*(9 - 6 + 9) - 3*t + 0*t + 2*t)*(-4 + 4 + 3*t**2 + 1).
288*t**3 + 96*t
Expand (z**2 - z**2 - 3*z**3)*(0*z - 3*z + z)*(-111*z - 230*z - 475*z).
-4896*z**5
Expand (-2 - 2*l + 2)*(3963 - 4333 + 2557).
-4374*l
Expand 6*f**2 - 4*f**2 - f**2 + (1 - 1 - f)*(-4*f + 0*f + f) + 11 - 11 - 3*f**2 + 18*f**2 - 75*f**2 + 10*f**2.
-46*f**2
Expand (2*q**2 - 2*q**2 + 3*q**2)*(2 - 2 + 4*q + (-4 + 4 - 2*q)*(-2 + 0 + 0) + (-1 - q + 1)*(0 + 1 + 0) + 1 - 1 - 2*q + 0*q + 0*q - 2*q)*(-9 - 6 + 3).
-108*q**3
Expand (1 - 1 + 1)*((-1 + 1 - 1)*(-2 + 0 + 0) - 1 - 2 + 1 + 6 + 2 + 3)*((3*m + 0*m - 2*m)*(-2 + 0 + 1) + (-2*m - 1 + 1)*(-5 + 0 + 3)).
33*m
Expand t + 140 + t - 4*t - 15 + 2 - 2 + 2 + 3*t + (-3*t + 0*t + 5*t)*(0 + 0 - 2).
-3*t + 127
Expand (-6*a + 24*a - a)*(2*a - 1 + 1)*(-8 - 85 - 126)*(-2*a + 4*a - a)*(0 - 4 + 3).
7446*a**3
Expand (0*w + w + w)*(w + w - w + 3*w - 3*w - 2*w + 5*w - 3*w + 0*w + (-2*w + 1 - 1)*(1 - 4 + 1))*(-23*w - 21*w - 32*w - 5)*(-w - 2*w + 5*w).
-1520*w**4 - 100*w**3
Expand (0 - 8 - 6)*(2 + 3 - 4)*(3*o**3 - 9*o**3 + 19*o**3) + ((-o**2 + 2*o**2 + 3*o**2)*(0 + 0 + 1) + 4*o**2 - 2*o**2 - 3*o**2)*(0*o - 2*o + 4*o).
-176*o**3
Expand (-3 + 3 - 2*a)*(-15 + 3 - 4)*(-23 - 25 + 41) + (2 - 2 - 1)*(4*a - 3*a - 2*a).
-223*a
Expand 11*x**4 + 179*x**4 + 86*x**4 + (4*x**3 + 8*x**3 - 4*x**3)*(x - 5*x + 3*x).
268*x**4
Expand -30*y**3 + 242*y - 242*y + (5*y + 545 - 545)*(-y + y - 2*y**2).
-40*y**3
Expand (-394*t**3 - 575*t**3 + 684*t**3)*(3*t - 6*t - t) + (-t - 2 + 2)*(-2*t**3 + t - t) - 2*t**4 + t**4 + 2*t**4 - 2 - t**4 + 2.
1142*t**4
Expand -5 + 5 + u**2 + (1 - 2*u - 1)*(-3*u + 5*u + 3*u) - 21*u**2 - 8*u**2 + 3*u**2.
-35*u**2
Expand (-5 + 10 + 6)*((1 - 4 + 2)*(-7 + 3 + 1) - 3 + 1 + 3)*(-3 + 3 + 2*x**2).
88*x**2
Expand i**3 + 0*i**3 + 0*i**3 + ((0*i**3 - i**3 + 28*i**3)*(3 - 6 + 2) + 1 - 2*i**3 - 1)*(-1 - 3 - 2).
175*i**3
Expand (-1810*i - 1321*i + 5062*i)*(-i + 3*i - 4*i).
-3862*i**2
Expand -3*p**3 + 21956*p**4 - 4*p**5 - 21956*p**4 + (-31 + 31 + 5*p)*(-2*p**2 + 2*p**2 - 2*p**4).
-14*p**5 - 3*p**3
Expand (194 - 63 - 61 - 6051*r - 70)*(3*r**3 + 0*r**3 + 0*r**3).
-18153*r**4
Expand ((0*b**2 - 6*b**2 - 4*b**2)*(-4*b**2 - 3*b**2 + 6*b**2) + 0*b**4 - 2*b**4 + b**4)*(-68 - 86 - 5).
-1431*b**4
Expand (-2*u**4 + u**4 + 0*u**4)*(-3 + 12 - 1)*(-1 - 4 + 3)*(-6 + 1 + 4)*(4 - 3 + 1)*(51 - 86 + 49).
-448*u**4
Expand (2*z**2 - 2*z**3 - 2*z**2)*(2 + 1 - 2)*(152*z**2 + 372*z - 372*z).
-304*z**5
Expand (1362*c**4 - 1362*c**4 + 2614*c**5)*(-4 + 3 + 0).
-2614*c**5
Expand -l**5 + 2*l**5 + l**5 + (3*l - 3*l + 2*l)*(-4*l**3 + 4*l**4 + 4*l**3) + (-3*l + l + 0*l)*(7*l
|
{
"pile_set_name": "DM Mathematics"
}
|
et i(d) be the second derivative of d**7/5040 + d**6/1440 - d**4/4 - d. Let j(n) be the third derivative of i(n). Factor j(p).
p*(p + 1)/2
Let d be 1 - (1 - 9/6). Factor 0 + 2*c**3 + d*c**4 - 1/2*c**2 - c.
c*(c + 1)**2*(3*c - 2)/2
Suppose -28*p**4 - p**3 + 4*p**5 + 11*p**4 - 3*p**2 + 17*p**3 = 0. What is p?
0, 1/4, 1, 3
Let j(p) be the second derivative of -p**8/8960 - p**7/1680 - p**6/960 + p**4/12 - p. Let g(y) be the third derivative of j(y). Let g(d) = 0. What is d?
-1, 0
Let r be (-3)/(6/(-22)) + 1. Suppose 4*s - r = -2*g, -3*g - 2*g - 14 = -s. Suppose 4*h**s + 2*h - 17*h**4 - 9*h**3 + 4*h**2 - 5*h**5 - 3*h**2 = 0. What is h?
-1, 0, 2/5
Let j be (-6)/(1 + -3) - -2. Let l(h) be the third derivative of -1/240*h**j + 0 + 1/480*h**6 + 2*h**2 + 0*h + 0*h**3 + 0*h**4. Factor l(o).
o**2*(o - 1)/4
Let w = -38 + 65. Factor -29*j + 2*j**3 - 3*j**3 + w*j - 3*j**2.
-j*(j + 1)*(j + 2)
Factor -2/9*k - 2/9*k**2 + 4/9.
-2*(k - 1)*(k + 2)/9
Suppose 0 = 5*r - 9*v + 4*v + 10, -2 = -v. Let c be 28/30*4/((-8)/(-6)). Determine n, given that -4/5*n**4 - c*n**5 + 42/5*n**3 + 8*n**2 + 8/5*n + r = 0.
-1, -2/7, 0, 2
Let b(o) = -o + 1. Let w(s) = 2*s**2 + 4*s - 10. Let c(h) = -6*b(h) - w(h). Factor c(z).
-2*(z - 2)*(z + 1)
Let n(h) be the third derivative of 10*h**2 - 2/15*h**5 + 0*h**3 + 0*h + 1/12*h**4 + 0 + 1/20*h**6. Factor n(b).
2*b*(b - 1)*(3*b - 1)
Let h(t) be the second derivative of t**6/540 - t**5/90 - 5*t**3/6 + 4*t. Let f(k) be the second derivative of h(k). What is s in f(s) = 0?
0, 2
Let k(i) be the first derivative of -3*i**5/5 + 3*i**3 - 3*i**2 + 4. Suppose k(a) = 0. What is a?
-2, 0, 1
Let x(f) be the first derivative of -f**6/2 + 9*f**4/4 + 2*f**3 + 9. Factor x(b).
-3*b**2*(b - 2)*(b + 1)**2
Let p(v) = -v**3 + 5*v**2 + 2*v - 5. Let x be p(5). Suppose 0 = -0*l + 3*l - 3. What is m in -2*m**2 - x*m + l - 3 + m = 0?
-1
Let a(y) = 5*y**2 + 7*y - 3. Let b be ((-1)/(-3))/((-2)/(-18)). Let h(x) = 5*x**2 - 1 + 10*x - b*x - 3. Let t(u) = 6*a(u) - 5*h(u). Find z, given that t(z) = 0.
-1, -2/5
Let o be (0*(-7)/(-21))/(-1 + -1). Find t, given that o*t + 0 + 2/5*t**3 - 2/5*t**5 + 0*t**2 + 0*t**4 = 0.
-1, 0, 1
Suppose 24 = 6*j - 9*j. Let v be (-9)/(-6)*j/(-6). Factor 0*y**v - 4/5*y + 4/5*y**3 - 2/5 + 2/5*y**4.
2*(y - 1)*(y + 1)**3/5
Let z(h) be the second derivative of -h**6/165 - 3*h**5/55 - 13*h**4/66 - 4*h**3/11 - 4*h**2/11 + 4*h. Determine r so that z(r) = 0.
-2, -1
Let r be 2/36*(-18)/(-12). Let k(u) be the second derivative of -1/16*u**4 - u - r*u**3 + 1/8*u**2 + 0. Solve k(q) = 0 for q.
-1, 1/3
Let w(x) be the first derivative of x**4/4 + x**3 - 9*x**2/2 + 5*x - 25. Factor w(c).
(c - 1)**2*(c + 5)
Suppose -2*d - 6 = 0, d = 4*t - 2*d - 17. Factor t - 2*r**3 - 2*r - 4*r - 3*r**2 + 9*r**2.
-2*(r - 1)**3
Let h(d) be the third derivative of d**5/240 - d**4/32 + d**3/12 + 8*d**2. Suppose h(k) = 0. What is k?
1, 2
Let y(q) be the second derivative of -q**4/132 - q**3/11 - 9*q**2/22 + 3*q. Suppose y(a) = 0. What is a?
-3
Let u(q) be the second derivative of -q**7/840 + q**5/120 + q**3/3 - q. Let v(b) be the second derivative of u(b). Factor v(x).
-x*(x - 1)*(x + 1)
Let u(g) = g**2 + 5*g + 2. Let r be (3/1 + -2)*-7. Let v(w) = -5*w - 4 + w**2 - 4*w + 1 - 3*w**2. Let d(k) = r*u(k) - 4*v(k). Solve d(a) = 0 for a.
-2, 1
Let q be (0/((-2)/1))/(-2). Suppose 4*j - 5*j + 2 = 4*g, 0 = -j + 3*g + 2. Factor b**2 + 2 + q*b**j - 3.
(b - 1)*(b + 1)
Determine f, given that f**2 + 1/3*f**4 + f**3 + 0 + 1/3*f = 0.
-1, 0
Let f = -34 + 31. Let x be f/(-42) + (-12)/(-28). Suppose 1/4*j - 1/4*j**2 + x = 0. What is j?
-1, 2
Let l(w) = 2*w**4 - 3*w**3 + 5*w**2 - 5*w - 5. Let p(c) = -2*c**4 + 4*c**3 - 4*c**2 + 4*c + 4. Let r(u) = 4*l(u) + 5*p(u). Factor r(z).
-2*z**3*(z - 4)
Let d(f) be the second derivative of 7*f**4/54 + f**3/3 + 14*f. Factor d(p).
2*p*(7*p + 9)/9
Suppose -5*g**4 - 43*g**3 - 3*g**5 + 4*g**5 + 47*g**3 = 0. Calculate g.
0, 1, 4
Suppose 3*w - 2*c = -36, -4*w + 5*c + 8 = 63. Let m be 6/15 + (-1)/w. Factor 0*d + 0 + 3/2*d**4 - 3/2*d**3 + 1/2*d**2 - m*d**5.
-d**2*(d - 1)**3/2
Let w(q) = q**3 + 4*q**2 + 3*q. Let t be w(-3). Let h(i) be the first derivative of t*i**2 - 1/9*i**3 + 1/4*i**4 - 1 + 0*i + 1/18*i**6 - 1/5*i**5. Factor h(m).
m**2*(m - 1)**3/3
Let -24*a + 20 + 3*a**4 - 12 - 2*a**4 + a**4 - 12*a**3 + 26*a**2 = 0. What is a?
1, 2
Let j(v) = -v**3 + v**2. Let o(r) = r + 3. Let k be o(-5). Let b(g) = -g**3 + g**2 - g + 1. Let t(f) = k*j(f) + b(f). Factor t(u).
(u - 1)**2*(u + 1)
Suppose 5*p - 6 = -1. Let w be (-8 + 12)/(p - -1). What is i in 2/9 + 8/9*i**3 + 8/9*i + 2/9*i**4 + 4/3*i**w = 0?
-1
Let f(d) be the third derivative of -5*d**8/336 + d**7/21 - d**6/24 + 11*d**2. Solve f(s) = 0.
0, 1
Factor 1/3*i**2 - 2/3*i - 1.
(i - 3)*(i + 1)/3
Let h(u) = u**2 + 8*u - 1. Let o(z) = -4*z**2 - 33*z + 5. Let q(y) = -9*h(y) - 2*o(y). Let j be q(-5). Factor 4*i + 3*i**2 - i - j*i - 2*i**2.
i*(i - 1)
Suppose 11*g**2 + 11*g**2 - 24*g**2 + g + g = 0. What is g?
0, 1
Let s be (-58)/120 + 7/2 + -3. Let c(m) be the second derivative of -1/18*m**4 + 1/3*m**2 + 0 + 1/18*m**3 - m - s*m**5. Solve c(i) = 0 for i.
-2, -1, 1
Let z(s) = -2*s**3 - 4*s**2 - 2*s + 1. Let a be z(-2). Suppose 4*b = d + 14, -a*d = -8*b + 3*b + 25. Factor -9*q - 2 - 4*q + b*q - 8*q**2.
-2*(q + 1)*(4*q + 1)
Let q = 25 - 23. Factor 0*b + 0 - 2/5*b**q + 2/5*b**4 + 0*b**3.
2*b**2*(b - 1)*(b + 1)/5
Suppose 4*d - 59 = -3*v, 4*d + 0*v + 5*v - 69 = 0. Let z = d - 11. Factor z + 0*i + 10/9*i**3 - 2/3*i**2.
2*i**2*(5*i - 3)/9
Let o(c) be the third derivative of 0 - 7/120*c**6 + 2*c**2 + 7/24*c**4 + 1/70*c**7 - 1/3*c**3 + 0*c - 1/60*c**5. Solve o(g) = 0.
-1, 1/3, 1, 2
Let m(c) be the third derivative of -c**11/110880 + c**10/16800 - c**8/1680 + 2*c**5/15 + 3*c**2. Let l(p) be the third derivative of m(p). Factor l(z).
-3*z**2*(z - 2)**2*(z + 1)
Let p(l) be the third derivative of l**8/1344 - l**6/480 - 11*l**2. Solve p(g) = 0.
-1, 0, 1
Let k(t) = -t**3 - 4*t**2 - 4*t + 1. Let g be k(-4). Find p such that g*p**2 + 2*p**4 + p**4 - 14*p**2 + 6*p**3 = 0.
-1, 0
Determine c so that -7*c**3 - 3*c**3 - 12*c**2 + 2*c**3 + 17*c**4 + 158*c**5 - 163*c**5 = 0.
-3/5, 0, 2
Suppose o - 25 = -x - 19, x = -5*o + 18. Factor 1/6*z + 19/6*z**o - 1/3 + 7/6*z**4 + 5/2*z**2.
(z + 1)**3*(7*z - 2)/6
Let f(y) = -1 + 5*y - 4*y + 3. Let c be f(0). Determine t so that t**5 - 6*t**3 + t**5 + 0*t**2 + 4*t**c = 0.
-2, 0, 1
Let k(r) be the third derivative of -r**8/588 + r**6/105 - r**4/42 + 7*r**2. Solve k(g) = 0.
-1, 0, 1
Let u(l) be the second derivative of -l**6/45 + l**5/15 - 2*l**3/9 + l**2/3 - 7*l. Find n, given that u(n) = 0.
-1, 1
Let d = 12 + -8. Let i be 18/20 + d/(-10). Factor -7/2*k**2 + i - k - 2*k**3.
-(k + 1)**2*(4*k - 1)/2
Let z(p) = 2*p**4 + 2 + 1 - 6 - p**2 - 4*p**4. Let u(m) = 3*m**4 - m**3 + 2*m**2 + 4. Let s(n) = 3*u(n) + 4*z(n). Factor s(c).
c**2*(c - 2)*(c - 1)
Let s(x) be the third derivative of x**8/2016 + x**7/252 + x**6/72 + x**5/36 + 5*x**4/144 + x**3/36 + 17*x**2. Factor s(q).
(q + 1)**5/6
Factor -2*p**2 + 78*p - 12 - 62*p - 2*p**2.
-4*(p - 3)*(p - 1)
Factor 0*b - 3/7*b**4 + 3/7*b**3 + 6/7*b**2 + 0.
-3*b**2*(b - 2)*(b + 1)/7
Suppose -3*q = 4*i - 20, 26 = -4*i - q + 38. Factor 2/5*y**i + 0*y + 2/5*y**4 - 4/5*y**3 + 0.
2*y**2*(y - 1)**2/5
Let i(n) = -n**2 - 5*n - 2. Let f be i(-5). Let x = f - -5. Factor 2 + t**3 + 0*t - 2*t**2 + 2*t - x*t.
(t - 2)*(t - 1)*(t + 1)
Let z(a) be the third derivative of a**6/720 - a**5/360 - a**4/72 - 6*a**2. Find j, given that z(j) = 0.
-1, 0, 2
Let r(s) be the third derivative of -s**7/210 + s**5/30 - s**3/6 + 5*s**2. Factor r(b).
-(b - 1)**2*(b + 1)**2
Let k(r) = 30*r**2 - 30*r + 18. Let o(b) = -15*b**2 + 14*b - 9. Let q(c) = 5*k(c) + 9*o(c). Factor q(s).
3*(s - 1)*(5*s - 3)
Suppose -g = -8*g. Factor g - 2*f**3 + 4/9*f**2 + 0*f.
-2*f**2*(9*f - 2)/9
Let n = 18 - 12. Let w(j) = 2*j**3 + 12*j**2 + 8. Let s(y) = 0*y + 1 - y + y**2 + 0*y. Let v(u) = n*s(u) - w(u). Factor v(b).
-2*(b + 1)**3
Let v(m) = -2*m**3 + 4*m**2 - 9*m. Let q(l) = -2*l**3 + 4*l**2 - 8*l. Let h = -9 + 0. Let u = h - -16. Let x(f) = u*q(f) - 6*v(f). Factor x(w).
-2*w*(w - 1)**2
Let t(o) = o**3 + o**2 - o. Suppose -20 = -4*j + x - 4, 5*j - x = 20. Suppose -j*g + g + 6 = 0. Let n(f) = -2. Let m(z) = g*t(z) + n(z). Factor m(u).
2*(u - 1)
|
{
"pile_set_name": "DM Mathematics"
}
|
11*s**3 + 94*s**5 + 97*s**5 - 194*s**5 - 5*s**n - 3*s**2 = 0.
-3, 0, 1/3, 1
Let f(i) be the first derivative of -8/9*i**3 - 3 - 8/3*i**2 + 0*i - 1/12*i**4. Determine m so that f(m) = 0.
-4, 0
Let t be (-4 - 0)*21/(-42). Let a(r) be the first derivative of 3 - 1/3*r**3 + 0*r - 1/6*r**6 + 1/4*r**4 + 1/5*r**5 + 0*r**t. Find d, given that a(d) = 0.
-1, 0, 1
What is j in -16*j**3 + 2*j**2 + 32*j**5 + 0 - 8*j**4 + 10*j - 26*j**5 + 10*j**2 - 4 = 0?
-1, 1/3, 1, 2
Let s(r) = -r**2 - 17*r - 13. Suppose 6*o - 48 = 9*o. Let n be s(o). Factor -m**n + 16*m - 16*m.
-m**3
Let u be (2/4)/((-13)/(-6) - 2). Let 3*f**u + 0*f**3 + 23*f**2 - 47*f**2 + 21*f**2 = 0. What is f?
0, 1
Suppose 3*w = -2*i + 19, -5*i + 4*w + 13 = 23. Determine j, given that 0*j**i + 0*j - 2/9*j**4 + 0 - 2/9*j**3 = 0.
-1, 0
Let l(m) be the second derivative of -m**6/1980 - m**5/165 - m**4/33 + 17*m**3/6 + 14*m. Let t(d) be the second derivative of l(d). Solve t(n) = 0 for n.
-2
Let x(k) be the third derivative of 1/6*k**4 + 7*k**2 - 1/30*k**5 + 0 + 0*k - 1/3*k**3. Solve x(i) = 0.
1
Let o(l) be the third derivative of -l**6/840 - 3*l**5/280 - l**4/28 - l**3/2 + 7*l**2. Let b(d) be the first derivative of o(d). Factor b(k).
-3*(k + 1)*(k + 2)/7
Let z be -12 + -4 - (-5 - 5) - 40/(-6). What is f in 2/9*f**5 + 2/9*f**2 + 0*f + z*f**3 + 2/3*f**4 + 0 = 0?
-1, 0
Let -20*z**2 - 259 + 25*z**2 - 128*z - 7*z - 191 = 0. What is z?
-3, 30
Suppose 42/5*p**3 + 3/5*p**5 + 0*p + 21/5*p**4 + 0 + 24/5*p**2 = 0. What is p?
-4, -2, -1, 0
Let s(k) be the first derivative of -k**7/40 + k**6/80 + 9*k**2/2 - 8. Let y(f) be the second derivative of s(f). Factor y(t).
-3*t**3*(7*t - 2)/4
Let b be 0/((-1)/(16/12)*4). Factor b + 24*c**2 - 22*c**2 + 0 + 2*c.
2*c*(c + 1)
Let s be (-2)/(-10) - 245/(-25). Let j = 15 - s. Factor 3*d**4 + 2*d**5 + 4*d**3 + 2*d**j + 4*d**4 + d**4.
4*d**3*(d + 1)**2
Let v(d) be the second derivative of d**7/168 - d**6/72 + 3*d**3 - 5*d. Let o(w) be the second derivative of v(w). Suppose o(t) = 0. Calculate t.
0, 1
Suppose 4*n + 48 = 2*m, m - 36 = 3*n + 4*m. Let p = -10 - n. Factor -3*z**2 + p*z**4 + z**3 + 3*z**2 + 3*z**3.
2*z**3*(z + 2)
Let k(l) be the first derivative of -l**5/20 + 2*l**4 - 26*l**3 + 112*l**2 - 196*l - 80. Factor k(w).
-(w - 14)**2*(w - 2)**2/4
Factor -2/11*g**4 + 0 + 8/11*g**2 - 16/11*g + 4/11*g**3.
-2*g*(g - 2)**2*(g + 2)/11
Suppose -2*d = 5*d - 119. Factor -717 - 19*h - 105*h**2 - d*h - 3*h**4 + 825 + 36*h**3.
-3*(h - 6)**2*(h - 1)*(h + 1)
Factor 1/4 + 0*k**2 - 1/4*k**4 + 1/2*k**3 - 1/2*k.
-(k - 1)**3*(k + 1)/4
Let d be (-2)/((-4)/(-91))*8. Let u be d/(-12) + (-4)/(-6). Factor 17*m + 3 - 4*m**4 + 7*m + 66*m**2 + u*m**4 + 72*m**3 + 0.
3*(m + 1)**2*(3*m + 1)**2
Let q(y) be the second derivative of 41*y + 0*y**2 - 3/140*y**5 - 3/28*y**4 + 0 + 2/7*y**3. Factor q(n).
-3*n*(n - 1)*(n + 4)/7
Let d = -3515/2 - -1759. Find l such that -d*l**2 + 0*l + 3/2 = 0.
-1, 1
Suppose -33*a = -10*a. Let k(f) be the second derivative of -1/10*f**6 + a*f**3 - 1/12*f**4 + 7*f + 1/42*f**7 + 0 + 0*f**2 + 3/20*f**5. Factor k(i).
i**2*(i - 1)**3
Let c(t) be the third derivative of -7/16*t**4 - 30*t**2 + 49/8*t**3 + 0 + 0*t + 1/80*t**5. Find n such that c(n) = 0.
7
Let g(l) be the first derivative of l**4/4 + 10*l**3/3 + 14*l**2 + 24*l + 87. Solve g(u) = 0 for u.
-6, -2
Find v such that -9*v**4 - 273*v**2 + 141*v**2 + 138*v**2 - 3*v**3 = 0.
-1, 0, 2/3
Let l(i) be the third derivative of -7*i**6/960 - 37*i**5/480 + 11*i**4/24 + 7*i**3/12 - 35*i**2. Factor l(h).
-(h - 2)*(h + 7)*(7*h + 2)/8
Suppose 10*o = 39 + 1. Let j(m) be the second derivative of -8*m + 0 - 1/5*m**3 + 1/20*m**o + 0*m**2. Factor j(y).
3*y*(y - 2)/5
Let z(l) = l**3 - 6*l**2 + 5*l + 4. Let r be z(5). Factor r*d**3 + 4*d**3 + 3*d**4 - 3*d**2 - 2*d**4 - 6*d**3.
d**2*(d - 1)*(d + 3)
Let w(g) = 8*g**3 + 16*g**2 - 27*g - 64. Let l(f) = 12*f**3 + 24*f**2 - 40*f - 96. Let m(n) = -5*l(n) + 8*w(n). What is k in m(k) = 0?
-2, 2
Let v(s) be the second derivative of 5/6*s**6 + 3*s**5 - 40*s**2 - 2*s - 40*s**3 - 11 - 20/3*s**4. Factor v(i).
5*(i - 2)*(i + 2)**2*(5*i + 2)
Let k(g) be the first derivative of 14*g**5/65 - 37*g**4/26 + 76*g**3/39 - 8*g**2/13 + 5. Suppose k(s) = 0. Calculate s.
0, 2/7, 1, 4
Let g(a) be the first derivative of -a**5 + 245*a**4/4 - 235*a**3/3 - 245*a**2/2 + 240*a - 655. Determine m so that g(m) = 0.
-1, 1, 48
Find f such that 34*f**3 + 90*f**2 + 9*f**3 - 59*f**3 - 459*f - 3468 + 13*f**3 = 0.
-4, 17
Let x(o) = 3*o**2 + 11*o - 13. Let b be x(-6). Let j = 29 - b. Factor 0 + j*r**2 - 3*r**4 + 0*r - 3/2*r**3 - 3/2*r**5.
-3*r**3*(r + 1)**2/2
Let o(s) be the first derivative of 0*s - 2/15*s**3 - 3 + 2/5*s**2. Determine z so that o(z) = 0.
0, 2
Suppose q + 5*g = -3*q - 15, 3 = -g. Let j = 533 - 2664/5. Let -4/5*t - 8/5*t**2 - t**3 + q - j*t**4 = 0. What is t?
-2, -1, 0
Suppose 0 = -3*z - d + 5, -5*z - 4*d = -13 - 0. Suppose -2*q + 5*j - 21 = 0, 4*j + 4 = 3*q + 18. Factor p**q + z + 2 - 3.
p**2
Let i = 77314/77 - 11004/11. Solve 2/7*j**3 + 10/7*j**2 + 2 - i*j = 0.
-7, 1
Let x(j) = 3*j**4 + 99*j**3 + 183*j**2 + 99*j + 6. Let d(f) = f**3 + f**2 + 2*f + 1. Let l(q) = 6*d(q) - x(q). Solve l(b) = 0 for b.
-29, -1, 0
Let f(m) be the second derivative of 2/9*m**3 - 34*m + 1/12*m**4 + 0 - 2/3*m**2. Determine b so that f(b) = 0.
-2, 2/3
Factor -64/5*b**3 + 18/5*b**4 - 2/5*b**5 + 112/5*b**2 - 96/5*b + 32/5.
-2*(b - 2)**4*(b - 1)/5
Let l(f) be the third derivative of f**9/30240 - f**8/4480 - f**7/5040 + f**6/480 + f**4/24 - 8*f**2. Let r(i) be the second derivative of l(i). Factor r(h).
h*(h - 3)*(h - 1)*(h + 1)/2
Let l be ((-24)/14)/(6/(-21)). Let n(c) = 4*c - 22. Let m be n(l). Let 0*t + 0 - 20/3*t**3 - 8/3*t**m - 8/3*t**4 = 0. What is t?
-2, -1/2, 0
Let c = -3 + 5. Factor -6*w - 2*w**c + 0*w + 13*w + 5*w.
-2*w*(w - 6)
Let s = 31/495 - -21/55. Factor 0 - 8/9*l + 4/9*l**3 + s*l**2.
4*l*(l - 1)*(l + 2)/9
Suppose 29*q - 72 = 11*q. Let t(v) be the first derivative of -2/7*v**3 + 0*v - 6 + 1/14*v**6 - 3/14*v**2 + 0*v**q + 6/35*v**5. Factor t(y).
3*y*(y - 1)*(y + 1)**3/7
Let h(a) = -a**3 + 15*a**2 + 2*a - 24. Let u be h(15). Let k be (u/3 - 3)/((-5)/6). Determine z, given that 4/5*z + 1/5 + 1/5*z**4 + 4/5*z**3 + k*z**2 = 0.
-1
Let v = -171187/84588 + -1/28196. Let n = -7/6 - v. Factor n*w + 4/7 - 2/7*w**3 + 0*w**2.
-2*(w - 2)*(w + 1)**2/7
Factor 24576/13*j - 384/13*j**2 - 524288/13 + 2/13*j**3.
2*(j - 64)**3/13
Let k(m) be the first derivative of -m**7/21 - m**6/15 + 6*m - 5. Let h(l) be the first derivative of k(l). Solve h(o) = 0.
-1, 0
Let l = 30 - 16. Let i = 20 - l. Factor -15*k**2 + 5 - i*k - 5.
-3*k*(5*k + 2)
Let o(z) be the first derivative of z**5/90 + z**4/18 - z**3/27 - z**2/3 - 6*z + 8. Let k(q) be the first derivative of o(q). Let k(y) = 0. Calculate y.
-3, -1, 1
Suppose f + 22 = 5*r, r = 8*f - 4*f - 7. Let 12*p**2 + 0*p**3 - 558*p**4 + 565*p**4 + p**r + 16*p**3 = 0. What is p?
-3, -2, 0
Let d = 1247 + -8728/7. Let h(g) = -g**3 - 2*g**2 + 2. Let x be h(-2). Factor 1/7*n - 2/7 + d*n**x.
(n - 1)*(n + 2)/7
Let b(x) be the second derivative of -x**7/42 + x**6/10 + x**5/20 - 7*x**4/12 + 2*x**2 - 225*x. Factor b(y).
-(y - 2)**2*(y - 1)*(y + 1)**2
Determine m, given that -10*m - 9/2*m**4 - 15*m**3 - 37/2*m**2 - 2 = 0.
-1, -2/3
Suppose 7*x = 6*x + 203. Let d be 1 + 4 + x/(-42). Suppose d*l**2 + 0*l - 1/6 = 0. Calculate l.
-1, 1
Let t(s) be the first derivative of -2*s**5/45 - 37*s**4/9 - 2738*s**3/27 + 894. Find m, given that t(m) = 0.
-37, 0
Let b(q) be the third derivative of -q**7/70 - 3*q**6/40 + q**4/2 - 50*q**2. Find o, given that b(o) = 0.
-2, 0, 1
Suppose -3*p + 13*p = 9*p. Let o(n) be the first derivative of -1/28*n**4 + 3/14*n**2 - 2/7*n + 8 + p*n**3. Determine a, given that o(a) = 0.
-2, 1
Determine r so that 2/19*r**4 + 6/19 - 8/19*r**2 - 4/19*r + 4/19*r**3 = 0.
-3, -1, 1
Let j(o) be the second derivative of o**5/10 - 11*o**4/6 + 121*o**3/12 + 8*o - 9. Suppose j(h) = 0. Calculate h.
0, 11/2
Suppose 4*h - h = 969. Suppose -h + 67 = -4*g. Determine m so that -15*m + 6*m - 7*m + g - 16*m + 4*m**2 = 0.
4
Let a(f) be the second derivative of -f**10/18144 + f**9/9072 + f**8/4032 - f**7/1512 - f**4/3 + 5*f. Let j(v) be the third derivative of a(v). Factor j(w).
-5*w**2*(w - 1)**2*(w + 1)/3
Let h be (112/126)/((-1)/(-21)). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
ivisor of 291332 and 8996?
692
Calculate the highest common factor of 119153 and 221.
17
Calculate the highest common divisor of 20 and 2030110.
10
What is the greatest common divisor of 151386 and 23?
23
What is the highest common factor of 28576 and 20?
4
Calculate the greatest common factor of 21774 and 955.
191
What is the highest common factor of 308 and 13699?
7
Calculate the highest common factor of 514 and 92777.
257
Calculate the greatest common divisor of 4913544 and 816.
408
Calculate the highest common factor of 776 and 13289.
97
What is the greatest common factor of 25740 and 936?
468
Calculate the greatest common divisor of 320 and 6304.
32
Calculate the highest common factor of 12600 and 2325.
75
Calculate the highest common factor of 3 and 2150.
1
Calculate the highest common divisor of 211819 and 191.
191
Calculate the highest common factor of 324 and 40581.
81
What is the greatest common factor of 6832 and 64050?
854
What is the highest common divisor of 112 and 310456?
8
What is the highest common divisor of 4662 and 9102?
222
What is the highest common factor of 17792 and 208?
16
Calculate the highest common divisor of 1254058 and 417.
139
Calculate the highest common factor of 1699953 and 6532.
1633
Calculate the greatest common factor of 3856 and 6025.
241
What is the greatest common factor of 84419 and 3567?
1189
What is the highest common divisor of 11 and 1046?
1
What is the highest common factor of 63060 and 120?
60
What is the greatest common factor of 322 and 44597?
161
What is the highest common factor of 297 and 7249?
11
Calculate the greatest common divisor of 319715 and 1980.
55
Calculate the greatest common divisor of 78 and 4476.
6
Calculate the highest common divisor of 115840 and 65.
5
What is the highest common factor of 10252 and 90404?
932
Calculate the greatest common divisor of 32054 and 1023.
341
What is the greatest common factor of 17 and 1124?
1
What is the highest common divisor of 39900 and 3360?
420
Calculate the highest common divisor of 7070 and 10302.
202
Calculate the greatest common divisor of 283503 and 71.
71
What is the greatest common factor of 262 and 3884019?
131
Calculate the greatest common divisor of 10 and 2312735.
5
Calculate the highest common factor of 10 and 207391.
1
Calculate the highest common factor of 168 and 4308.
12
What is the greatest common divisor of 7314 and 330?
6
What is the greatest common factor of 99 and 5094?
9
What is the greatest common divisor of 18883 and 22167?
821
What is the greatest common divisor of 1831923 and 57?
57
What is the highest common factor of 122 and 4399808?
122
Calculate the highest common divisor of 2493659 and 98.
49
What is the highest common factor of 133 and 86051?
133
Calculate the greatest common factor of 820928 and 2540.
508
Calculate the highest common factor of 3416 and 1128.
8
Calculate the greatest common factor of 948 and 211404.
948
Calculate the greatest common divisor of 35956 and 3916.
356
Calculate the highest common divisor of 980 and 40.
20
What is the greatest common divisor of 75 and 159975?
75
What is the highest common divisor of 204 and 138?
6
Calculate the highest common divisor of 11060 and 1460.
20
What is the highest common divisor of 117766 and 24486?
1166
What is the greatest common divisor of 78223 and 716?
179
What is the highest common factor of 35029 and 46?
23
Calculate the greatest common divisor of 96 and 3153768.
24
What is the greatest common divisor of 202059 and 78?
39
What is the highest common factor of 9648 and 3297204?
2412
What is the greatest common factor of 2501760 and 5760?
1920
Calculate the highest common factor of 27671 and 6608.
413
What is the greatest common factor of 4071 and 19527?
69
Calculate the greatest common factor of 373737 and 67821.
1443
Calculate the greatest common factor of 9 and 7284024.
9
Calculate the highest common factor of 871 and 18894.
67
Calculate the highest common divisor of 2715 and 293763.
543
What is the greatest common divisor of 14602 and 447?
149
What is the greatest common factor of 783 and 349479?
261
Calculate the highest common divisor of 864588 and 20928.
1308
What is the highest common factor of 16 and 509584?
16
Calculate the greatest common divisor of 99 and 360492.
33
Calculate the greatest common divisor of 5862 and 2280.
6
Calculate the highest common divisor of 12084 and 285564.
636
Calculate the highest common factor of 225582 and 1476.
246
Calculate the greatest common factor of 1960 and 2485.
35
Calculate the greatest common factor of 684 and 44289.
171
What is the highest common divisor of 12550 and 10600?
50
Calculate the highest common divisor of 192469 and 197.
197
What is the highest common divisor of 5 and 22405?
5
Calculate the highest common factor of 498 and 807258.
498
What is the highest common divisor of 95760 and 9?
9
Calculate the greatest common divisor of 1135 and 55161.
227
Calculate the highest common factor of 2519571 and 57.
57
What is the greatest common factor of 1240038 and 54?
18
What is the highest common factor of 50416 and 529?
23
Calculate the highest common divisor of 56715 and 2280.
285
Calculate the greatest common factor of 2092772 and 88.
44
What is the greatest common factor of 33949 and 323?
17
Calculate the highest common factor of 4386669 and 63.
21
What is the greatest common divisor of 30 and 740310?
30
Calculate the highest common factor of 608 and 779.
19
Calculate the greatest common divisor of 286 and 246818.
286
What is the highest common divisor of 123717 and 26312?
253
What is the highest common factor of 16941 and 18?
3
Calculate the highest common divisor of 632 and 57749.
79
What is the highest common factor of 1672 and 231?
11
Calculate the greatest common divisor of 9700 and 168586.
194
What is the highest common divisor of 2968 and 22960?
56
What is the greatest common divisor of 274635 and 6885?
765
What is the highest common divisor of 2625 and 3360?
105
What is the highest common divisor of 685 and 360?
5
What is the highest common factor of 142 and 6603?
71
What is the greatest common divisor of 1256 and 66097?
157
What is the highest common factor of 261 and 55941?
87
What is the highest common divisor of 2241 and 54?
27
What is the highest common factor of 35563 and 22?
11
Calculate the greatest common divisor of 45900 and 24.
12
Calculate the greatest common factor of 6728 and 377.
29
Calculate the highest common divisor of 336 and 11466.
42
Calculate the highest common divisor of 80 and 640.
80
Calculate the greatest common divisor of 89750 and 146472.
718
What is the greatest common factor of 567 and 88641?
189
What is the greatest common factor of 88 and 2893?
11
What is the highest common factor of 29670 and 150?
30
What is the greatest common factor of 6243546 and 6?
6
Calculate the greatest common factor of 2988434 and 114.
38
What is the greatest common divisor of 2267018 and 78?
26
Calculate the greatest common factor of 1166 and 848.
106
What is the greatest common divisor of 13152 and 237?
3
Calculate the highest common divisor of 418 and 2242.
38
What is the greatest common factor of 245 and 45521?
49
Calculate the greatest common divisor of 16181 and 473.
11
What is the greatest common divisor of 21322 and 49?
7
Calculate the highest common divisor of 2244 and 78.
6
Calculate the greatest common divisor of 5971120 and 60.
20
What is the highest common factor of 8144 and 1175281?
509
What is the highest common divisor of 48 and 248052?
12
Calculate the greatest common divisor of 888382 and 2178.
242
What is the highest common divisor of 515821 and 46?
23
Calculate the greatest common divisor of 9676 and 23124.
164
Calculate the greatest common divisor of 237250 and 64970.
730
Calculate the highest common divisor of 966 and 384.
6
What is the highest common factor of 7296 and 60?
12
Calculate the highest common divisor of 39 and 1039233.
39
What is the highest common divisor of 64 and 517568?
64
What is the highest common divisor of 26091 and 249?
3
Calculate the greatest common divisor of 4814 and 1162.
166
What is the greatest common factor of 27720 and 270?
90
What is the greatest common divisor of 2656 and 16544?
32
What is the greatest common factor of 10 an
|
{
"pile_set_name": "DM Mathematics"
}
|
o. Is o a composite number?
False
Let u = -119339 + 315306. Is u prime?
True
Let o be (18858/(-15) + -2)/(3/(-15)). Let s = -325 + o. Is s prime?
False
Let u(w) = -3040*w. Let g be u(-1). Let f be (0 + 2 - 1) + (g - -1). Let k = f + -1349. Is k composite?
False
Suppose -5*j - 474 = -494. Is -3 - (36/j - 17195) composite?
False
Let s(p) = -p**2 - 12*p - 32. Let y be s(-6). Suppose -z + 12675 = y*h, -4*h + 25362 = 5*z - 3*z. Is z a prime number?
False
Suppose 4*x + 2*f - 788320 = 0, -2*x - 31*f = -26*f - 394184. Is x composite?
False
Suppose -12 = 3*s - 5*s. Suppose -r + s = -5*b, b + 0*r = 2*r + 6. Let j(f) = 141*f**2 - f - 1. Is j(b) a composite number?
True
Suppose -5*i - 1046 = -3221. Suppose i = 5*k - 90. Let o = k - 20. Is o a composite number?
True
Suppose l - 4*y = -15, -60 = l + 4*l - 5*y. Let g(x) = -1349*x + 64. Is g(l) a composite number?
True
Suppose w - 2*w = -l - 796, -w = 2*l - 811. Let i(r) = -2*r**2 + 5*r - 129. Let h be i(-10). Let p = h + w. Is p a composite number?
True
Let o(v) = -50*v**3 + 2*v**2 + 34*v - 14. Let x be o(-10). Suppose 4313 + x = 21*i. Is i a composite number?
False
Is 781874 - (-9 - (0 - 4)) a composite number?
True
Suppose 2*k + 3 - 2 = 5*b, 5*k - 3*b = -12. Let m = 2 + k. Is (-434)/(-3) + -3*m/9 composite?
True
Suppose -t + o = -0*t - 28, t - 2*o = 31. Suppose -5*m = -4*m - t. Let r(z) = 6*z**2 - 35*z + 56. Is r(m) prime?
False
Let m(k) = 1728*k - 192. Let p be m(-14). Let a = -14249 - p. Is a composite?
True
Let c = -916397 - -1552278. Is c a prime number?
False
Is 3/((-6)/(-781434)*27) prime?
False
Suppose 607*s - 3*r - 2515871 = 605*s, -5*r = 3*s - 3773778. Is s a composite number?
False
Suppose -7*v + 270763 = -678528. Is v a prime number?
True
Let w(p) = 608*p + 187. Let g(s) = s**2 - 19*s - 102. Let i be g(-5). Is w(i) composite?
False
Let x(t) = 11740*t + 53. Let b be x(9). Suppose 0 = 23*p + 7894 - b. Is p prime?
True
Let c = 168 - 163. Suppose c*k - 4*n - 20244 = -3*n, -k + 4054 = 5*n. Is k prime?
True
Let g(t) = -t. Let y be g(2). Is (3988 - 4) + y/2 prime?
False
Suppose 16*h - 3366318 = -391694 + 9615792. Is h composite?
False
Let z(v) = -3*v + 22. Let h be z(5). Suppose -h*b + 6*b + 2*g + 1995 = 0, -4*b + 5*g = -7968. Is b a composite number?
False
Let d = -183 + 207. Is (-2 + d/9)/((-8)/(-228)) prime?
True
Suppose -3*s - 173 = 4*b - 0*b, 5*b = -25. Let r = -46 - s. Suppose -3*x = 5*y - 4539 - 1121, 0 = y + r. Is x prime?
False
Suppose -4*g - 64*n = -66*n - 356802, -5*n + 25 = 0. Is g composite?
False
Suppose -2*i - 7 = -3*i. Suppose 0 = -i*f + 11*f - 28. Suppose -f*m = -4*m - 1677. Is m a prime number?
False
Suppose -3*z - 15 + 15 = 0. Suppose -4*r = 3*i - 13, z = -2*r - 4. Suppose -3509 = -18*h + i*h. Is h a composite number?
True
Let i = 1253 + -502. Let b = i + -514. Is b composite?
True
Let v be (-52)/338 - 1972/26. Let f = 58 + v. Let j(d) = -d**3 - 15*d**2 + 44*d - 3. Is j(f) composite?
True
Suppose -11*d = -4*d + 92 - 152461. Is d prime?
True
Let r = -7022 + 7026. Let l be 1/(-1) + (2 - 1). Suppose -r*h + 2*f + 215 + 15 = l, -5*f = -15. Is h prime?
True
Let t = 698 + 31786. Let s = -20077 + t. Is s prime?
False
Let f(c) = c**2 + 5*c - 10. Let n be f(-7). Let g be (-185)/(-30)*412 + (-2)/(-6). Suppose 4*t - 1508 = -4*r + 1036, g = n*r + t. Is r composite?
True
Suppose 23*w + c = 27*w - 7179, 0 = 6*w + c - 10771. Is w a prime number?
False
Suppose d - l = -0*l - 190, 3*l - 12 = 0. Let y = d - -460. Is y a composite number?
True
Let q(u) = -u**2 + 12*u - 6. Let i be q(11). Suppose 14155 = i*s + 2490. Is s a prime number?
True
Suppose -439*l + 443*l = -12, -2*y = 5*l - 587983. Is y composite?
False
Let p(u) = 2*u**3 + 8*u**2 + 5*u + 2. Let l be p(-3). Let a(m) = -4*m**2 + 7*m - 18 + l + 6*m**2 + 5*m**2. Is a(-8) composite?
False
Let a(j) be the first derivative of j**3/3 + 6*j**2 - 11*j - 19. Let z be a(-13). Suppose -z*r - 3244 = -4*o, 4 = r - 0. Is o a composite number?
True
Let q = 249318 + -157675. Is q a prime number?
False
Suppose 2*v = 4*k - 53554, 5*k = 2*v + 27035 + 26520. Let z = v + 39776. Is z prime?
True
Let l(f) = 2*f**3 - f**2 + f + 2. Let t be l(0). Suppose 0 = -t*i - 40 + 42. Suppose -9 = -5*n + i, -5*n = w - 899. Is w a composite number?
True
Let t be 44/(-77)*7/2. Is 26667/(-6)*(t + (-32)/(-24)) a composite number?
False
Let w(k) = -k + 4. Let i be w(-2). Suppose -i*m = m - 28. Suppose r - 4*u - 403 = -u, 3*u = -m*r + 1552. Is r composite?
True
Is -2 - (-16)/(-4) - (-55 + -25454) prime?
False
Suppose b + 277128 = -15*b + 1618904. Is b prime?
False
Suppose -501*q = -1004*q + 493*q + 1029910. Is q a composite number?
True
Suppose 3*b - 209 = -4*o, -43 = -4*b + 3*b + 4*o. Let y = b - 50. Let r(f) = f**3 - 11*f**2 + 3*f + 2. Is r(y) a prime number?
True
Let w(j) be the first derivative of -2*j**2 + 134/3*j**3 - 47*j - 32. Is w(-6) prime?
True
Suppose -5*y + 42*z - 39*z = -145, 2*y + 4*z - 32 = 0. Let l(o) = 2*o**2 + 26*o - 133. Is l(y) prime?
False
Suppose -2*i - 6 + 2 = 0. Is (48414/i)/(-21 - -18) a prime number?
True
Suppose -4*y = -16 - 40. Let f = 39 + y. Is f prime?
True
Suppose -2*k = -6, -31*k + 26*k + 114354 = 3*u. Is u prime?
True
Let p be ((-5214)/(-4))/(6/(-80)*-2). Let y = 15039 - p. Is y prime?
False
Let d be ((-8)/2 - 21/(-6))*0. Suppose d = 4*n - 3*t + 1840, -t = 4*n - 3*n + 453. Let o = 130 - n. Is o composite?
False
Suppose w - 594771 = 4*k - 2441688, 2*k + 2*w - 923456 = 0. Is k a composite number?
True
Let r(u) be the third derivative of u**6/120 - u**5/30 + u**4/24 + 10297*u**3/6 - 9*u**2 - 1. Is r(0) a prime number?
False
Suppose -1 = q, 4*t - 4*q + 419 = q. Is 3*(-20)/(-12) - t a composite number?
True
Suppose -9 - 11 = -10*s. Suppose 4*x + 2372 = 2*z - 9782, -12114 = -s*z - 4*x. Is z composite?
False
Suppose -18*b = 80 - 8. Is (-2)/b*-5591*(-13 - -11) a composite number?
False
Let a = 3901 + 3070. Is a prime?
True
Suppose -4*n - 4241 + 16989 = 0. Suppose -m - 3*h = -n, -2*m + 6352 = -2*h - 3*h. Is m a prime number?
True
Suppose -5*a = 3*g - 22, -4*a = g - 22 + 10. Suppose -g*b - 66996 = -4*z, z - 7956 = -3*b + 8809. Is z prime?
False
Let w(y) = -2*y**2 + 2*y - 3508. Let t(x) = -3*x**2 + 2*x - 3507. Let r(q) = 3*t(q) - 4*w(q). Is r(0) prime?
True
Let h be 308/(11/5 + -2). Suppose h = 4*f + 3*f. Let j = 225 + f. Is j composite?
True
Let t = 171 + -155. Let f(b) = 57*b**2 - 23*b + 49. Is f(t) a prime number?
False
Let c(s) = 2*s**3 - 7*s**2 - 11*s - 9. Let h be c(10). Suppose 13976 = 15*f + h. Is f a prime number?
True
Let p = -5095 + 6476. Is p a composite number?
False
Is (-15)/(-25) + 70639888/220 composite?
False
Let p(q) = 139514*q + 2821. Is p(2) a composite number?
False
Suppose -24*x = -14*x - 20. Let g(w) = w - 2. Let h be g(6). Suppose 3552 = r + 3*r - 4*j, -x*r + 1770 = h*j. Is r prime?
True
Let c be (228/95)/((-4)/16070). Let v = c - -13925. Let w = v + 1040. Is w a composite number?
False
Suppose -3*f + 47270 - 12188 = 0. Suppose 174*q + f = 180*q. Is q a composite number?
False
Let a(g) = -3*g**2 - 3*g. Suppose 5 = -6*w + 5*w. Let m be a(w). Is (-6*268/m)/(1/5) a prime number?
False
Suppose 4*r - u = -376427, 0 = -4*r - r + 3*u - 470532. Let v = -65950 - r. Is v composite?
True
Let a be 6 + 2 + -1 - 5. Suppose -a*y + 18*y = 79792. Is y prime?
True
Let b(g) = 404*g**2 + 5*g + 4. Let i(k) = k**2 + 22*k + 67. Let j be i(-18). Is b(j) prime?
True
Let g(u) = -14*u**3 - 19*u**2 - 31*u - 73. Is g(-20) prime?
True
Suppose 630*u = 631*u + 8. Is -3 + ((-308099)/u - 72/192) a prime number?
False
Let h be -5*2*(-1396530)/236. Let a = h - 23494. Is a prime?
False
Suppose -51*q + 55158 = 3*z - 54*q, 5*z + q - 91960 = 0. Is z a prime number?
False
Suppose 0 = i - 249 - 292. Let w = 802 - i. Suppose q + 3*d - d - w = 0, -d + 1287 = 5*q. Is q a prime number?
True
Let z be ((4 - 0)/12)/(2/132). Let i = -18 + z. Suppose 2*j = i, -4*a + 0*j = j - 1174. Is a composite?
False
Let h = -3043 + 29516. Is h a prime number?
False
Is (10/(120/649986))/(2/4) a composite number?
True
Let h = 11 - -6. Let k(p) = -3*p**2 + 102*p + 66. Let g(d) = d**2 - 34*d - 23. Let t(v) = 8*g(v) + 3*k(v). Is t(h) a prime number?
False
Suppose 0 = 10*h - 116 + 26. Suppose -o - 1 = -0. Is o + 1317/9 - (-6)/h composite?
True
Let p be 5/3 - (-14)/6. Suppose -4*a = 3*i - 15309, -p*a + i
|
{
"pile_set_name": "DM Mathematics"
}
|
-2648 - -2654. Let t(n) = 8*n - 16. Give r*j(y) + 11*t(y).
-2*y + 22
Let r(s) = 4*s**3 - 3*s**2 + 3*s + 3. Suppose 2*n = -6 + 16. Let q(k) = -n + 1 + 0 - 2*k + 2*k**2 + 2 - 3*k**3. Determine -3*q(f) - 2*r(f).
f**3
Let k(g) = -g + 29. Let c(i) = -9*i + 466. Give -c(s) + 3*k(s).
6*s - 379
Let z(s) = 5*s + 15. Let i = -17965 + 17961. Let f(n) = 4*n + 15. Calculate i*f(w) + 3*z(w).
-w - 15
Let q(l) = 7*l**3 + 5*l**2 + 5*l. Let p(v) = -v**3 + 4*v**2 + 2*v + 6. Let k(g) = -g**3 + 3*g**2 + g + 4. Let b(y) = 3*k(y) - 2*p(y). Give -5*b(w) - q(w).
-2*w**3 - 10*w**2
Let u(i) = -12*i**2 - 4*i. Let n(v) be the first derivative of 11/3*v**3 - 132 + 0*v + 3/2*v**2. Calculate -4*n(j) - 3*u(j).
-8*j**2
Let y(c) = -6*c - 6. Suppose 0 = 103*z - 106*z + 42. Let g(o) = o + 1. Determine z*g(f) + 3*y(f).
-4*f - 4
Let w(z) = 6*z**3 + 6*z - 2. Let h(f) = -3 + 113*f**2 + 7*f + 7*f**3 - 113*f**2. Let p(a) = 4*a + 85. Let s be p(-20). Determine s*w(l) - 4*h(l).
2*l**3 + 2*l + 2
Let h(j) = j**3 + 6*j. Let l(t) = 4*t**3 - 2*t + 1. Let i be l(1). Let c = 479 + -477. Let m(x) = -x**i + x + x**3 + c*x**3 + 10*x. Determine 11*h(r) - 6*m(r).
-r**3
Let p = -209 + 213. Let q(k) = -1 + 0*k - p*k + 10*k - 5*k + 0*k. Let w(g) = 1. Let a = -7 + 10. Determine a*q(z) + 3*w(z).
3*z
Let k(g) = -41056*g**2 + 44*g - 198. Let j(z) = -5865*z**2 + 6*z - 27. Give 44*j(d) - 6*k(d).
-11724*d**2
Let z(t) = 31*t - 4. Let u(p) = 147*p - 19. Determine -2*u(v) + 11*z(v).
47*v - 6
Let x(r) = 5*r**3 - 4*r**2 + 6*r + 6. Suppose -4*k = -4*t - 40, 54*k - 5*t - 46 = 50*k. Let i(g) = 5*g**3 - 5*g**2 + 7*g + 7. Give k*i(f) - 5*x(f).
-5*f**3 - 2*f - 2
Suppose -x - 2*x + 6 = 0. Let y(v) = -v - 5 - 8 + 27*v + x. Let n(i) = i. Let g(w) = -3*w + 4. Let p(l) = g(l) - 6*n(l). Give 11*p(m) + 4*y(m).
5*m
Let w(i) = -i**3 + 14*i**2 + 5*i - 1. Let b(y) = 21*y**2 + 8*y - 356318 - 3*y**3 + 356316 + y**3. Calculate -5*b(f) + 8*w(f).
2*f**3 + 7*f**2 + 2
Let u(f) = -7989*f**3 - 5*f**2 - 25*f - 5. Let j(h) = 8508285*h**3 + 5326*h**2 + 26630*h + 5326. Determine 5*j(o) + 5326*u(o).
-7989*o**3
Let d(k) = 1585*k**3 - 14*k**2 - 6*k. Let a(q) = -4755*q**3 + 40*q**2 + 17*q. Give 6*a(u) + 17*d(u).
-1585*u**3 + 2*u**2
Let z(y) = -2*y**2 + 2*y - 2. Suppose 3*f + 14*f = 0. Suppose -52*v + 59*v + 28 = f. Let t(x) = 2*x**2 - 2*x + 2. Give v*z(w) - 3*t(w).
2*w**2 - 2*w + 2
Let o(v) = 1797*v**2 - 24*v - 4. Let t(p) = -512146*p**2 + 6846*p + 1141. Determine 3423*o(k) + 12*t(k).
5379*k**2
Suppose -251*f - 144 = -215*f. Let w(r) be the first derivative of -21*r**4/4 + 9*r**2/2 - 6. Let x(u) = 5*u**3 - 2*u. Determine f*w(n) - 18*x(n).
-6*n**3
Let k(d) = 148*d - 12596. Let n(r) = 34*r - 3149. What is 3*k(a) - 13*n(a)?
2*a + 3149
Let q(k) = 0*k + k + 3*k. Let d(j) = 3*j. Let u be 6 - (-19)/(266/(-42)). What is u*d(l) - 2*q(l)?
l
Let q be (4/30*-6)/((-1)/5). Let f(v) = 10*v - 5. Let h(n) = 9*n - 4. Determine q*f(r) - 5*h(r).
-5*r
Let n(m) = -m**2 + 270*m - 145. Let v(z) = 68*z - 37. Calculate -2*n(q) + 9*v(q).
2*q**2 + 72*q - 43
Suppose 186*o = 493*o + 1842. Let l(i) = -6*i - 29. Let k(b) = -2*b - 10. What is o*l(w) + 17*k(w)?
2*w + 4
Let y(b) = 427*b**3 + 10*b**2 + 5*b + 14. Let o(r) = 640*r**3 + 16*r**2 + 8*r + 24. Give -5*o(m) + 8*y(m).
216*m**3 - 8
Suppose 2*z + 102 = -6*z - 26*z. Suppose -2*l - 70 = -7*l. Let v(y) be the second derivative of y**4/2 - y. Let c(x) = x**2. Calculate l*c(d) + z*v(d).
-4*d**2
Let l(h) = -40. Let q(j) = 422*j + 201. Determine 5*l(g) + q(g).
422*g + 1
Let n(c) = 2*c**3 + 3*c**2 - 2*c - 3. Let g = 23224 - 23218. Let a(v) = -18*v**3 - 26*v**2 + 18*v + 26. Calculate g*a(w) + 52*n(w).
-4*w**3 + 4*w
Let h(j) = 9*j**2 - 2*j - 3. Suppose 4*k - 171 + 71 = 0. Let g(d) = -19*d**2 + 29 - 72 + k + 5*d + 25. What is -2*g(t) - 5*h(t)?
-7*t**2 + 1
Let i(s) = -33*s - 79. Let w(t) = -50*t - 120. What is -8*i(f) + 5*w(f)?
14*f + 32
Let g(n) = n + 1. Let p = -2541 - -2543. Let s(v) = -v. Determine p*g(q) + 3*s(q).
-q + 2
Let v(b) be the first derivative of 2*b + 217 - 4/3*b**3 + 5/2*b**2. Let w(q) = -2*q**2 + 2*q + 1. What is -3*v(z) + 7*w(z)?
-2*z**2 - z + 1
Let t(r) = -4*r**2 - 4*r + 9517. Let f(l) = l**2 + l - 3177. What is 14*f(w) + 4*t(w)?
-2*w**2 - 2*w - 6410
Let y(m) = -4*m**2 + 2*m + 2. Suppose 2*z - 2 = 10. Let x(g) = g**2 + 7*g + 2. Let r be x(-3). Let t(p) = -7*p**2 + 3*p + 3. What is r*y(u) + z*t(u)?
-2*u**2 - 2*u - 2
Let i(v) = -170*v**2 - 105. Let a(f) = -f**2 + 1. Let w(k) = -6*a(k) - i(k). Let r(x) = -7*x**2 - 4. Give 99*r(c) + 4*w(c).
11*c**2
Let t(i) = 98206342*i**3 - 241527*i**2 + 80509*i. Let m(r) = -7319*r**3 + 18*r**2 - 6*r. Determine 80509*m(y) + 6*t(y).
-7319*y**3
Let k(r) be the first derivative of r**2/2 + r + 2. Let g(h) be the second derivative of h**3/6 - 2*h**2 - 9242*h. What is g(l) + 2*k(l)?
3*l - 2
Let h(z) = -1409*z + 126. Let d(y) = -2818*y + 221. Give -4*d(k) + 7*h(k).
1409*k - 2
Let d(n) = -3*n**3 - 357*n + 3. Let l(f) = -2*f**3 - 238*f + 2. Give -5*d(s) + 8*l(s).
-s**3 - 119*s + 1
Let q(l) = -13*l**3 - 2*l**2 - 335*l - 3. Let j(d) = 60*d**3 + 10*d**2 + 1676*d + 14. Give -3*j(u) - 14*q(u).
2*u**3 - 2*u**2 - 338*u
Let g(x) = 4*x**3 + 27*x - 691. Let v(p) = -p**3 - 7*p + 173. What is 4*g(s) + 15*v(s)?
s**3 + 3*s - 169
Let v(d) = 9*d + 5. Let o(b) = -3*b - 2. Let r(w) = -15*w - 358. Let q be r(-25). What is q*o(i) + 6*v(i)?
3*i - 4
Let o(d) = -85*d - 2 + 4 + 36*d - 4*d**2 + 28*d + 23*d. Let m(s) = -8*s + 23*s + 7 + 2*s - 10*s - 13*s**2. Determine -2*m(p) + 7*o(p).
-2*p**2
Let m(w) = -86*w**2 + 5*w + 5. Let d(u) = 3*u**2 - 1. What is 5*d(r) + m(r)?
-71*r**2 + 5*r
Let b = -598 - -596. Let s(i) be the third derivative of -2*i**2 + 1/6*i**3 + 0*i + 0 - 1/24*i**4. Let w(o) = -o + 2. What is b*s(r) + w(r)?
r
Let d(h) = 4*h**2 - h - 226. Let x(m) = 9*m**2 - 2*m - 451. What is 7*d(q) - 3*x(q)?
q**2 - q - 229
Let t(h) = 2*h + 4. Suppose 40 = 5*v - 5*y, 4*v - 8*y + 12*y - 8 = 0. Let q(w) = -1. Give v*q(s) - t(s).
-2*s - 9
Let t(s) = -27*s - 263. Let c be t(-10). Let v(r) = 11*r**3 - 3*r**2 - 5*r + 5. Let w(f) = -16*f**3 + 4*f**2 + 7*f - 7. Give c*v(j) + 5*w(j).
-3*j**3 - j**2
Let j(q) = q**2 - q - 1. Let t(p) = 26 + 4*p - 11*p**2 + 11*p**2 - 13 - 11 + 8*p**2. Determine 2*j(a) + t(a).
10*a**2 + 2*a
Suppose -p - 4*p + 4*h + 200 = 0, 5*p - 5*h = 205. Let s be p/10*15/6. Let l(x) = 2*x**2 - 9*x - 3. Let v(t) = -t**2 + 4*t + 1. What is s*v(m) + 4*l(m)?
-m**2 - 3
Let i(b) = 5*b**2 + 6. Let s(h) = -h + 2287*h**2 - 4546*h**2 - 5 + 2255*h**2. Calculate 3*i(y) + 4*s(y).
-y**2 - 4*y - 2
Let k(i) = 84*i + 68. Let n(f) = 26*f - 4. Calculate -k(m) + 3*n(m).
-6*m - 80
Let q(d) = -16*d**2 + 6. Let k(g) = 175*g**2 - 65. Suppose -3*h - 4*h = 6*h. Suppose 11*i + 51 - 117 = h. Give i*k(s) + 65*q(s).
10*s**2
Let r(l) = -l + 35. Let b be r(1). Suppose 10*t + 3*g = 5*t + b, -3*g + 9 = 0. Let m(o) = -6*o - 2. Let j(h) = -5*h - 2. Give t*j(y) - 4*m(y).
-y - 2
Let g(o) be the third derivative of 3*o**6/20 + 2*o**5/15 + o**3 + 2*o**2 - 79*o. Let a(i) = -19*i**3 - 9*i**2 - 7. Determine 6*a(z) + 7*g(z).
12*z**3 + 2*z**2
Let q(p) = -p - 1. Let y(s) be the second derivative of -s**4/6 - 4*s**3/3 - 3*s**2/2 - 3481*s - 1. Calculate -4*q(d) + y(d).
-2*d**2 - 4*d + 1
Let h(m) = 567*m**3 - 44*m**2 - 27*m + 219. Let f(y) = 63*y**3 - 5*y**2 - 3*y + 25. Determine 35*f(j) - 4*h(j).
-63*j**3 + j**2 + 3*j - 1
Let l(f) = -20*f + 1977. Let r(q) = 3*q - 289. Let h(z) = 6*l(z) + 41*r(z). Let n(u) = -4*u - 13. What is 3*h(m) + 2*n(m)?
m + 13
Let r(k) be the third derivative of -121*k**4/24 - 11*k**3/6 + 832*k**2. Let d(m) = 24*m + 2. Give -11*d(w) - 2*r(w).
-22*w
Let j(p) = 5780*p - 3. Let t(h) = 11708*h - 6. What is 5*j(c) - 3*t(c)?
-6224*c + 3
Let p(g) = -4230*g**3 + 8*g**2 - 53*g - 18. Let u(y) = y**2 - 6*y - 2. Determine p(j) - 9*u(j).
-4230*j**3 - j**2 + j
Let k(v) = 6*v**2 - 9. Let t(x) = -9*x**2 + 13. Let j = 26 + -18. Let r be 6 + 3 + j/(-4). Give r*k(a) + 5*t(a).
-3*a**2 + 2
Let p(s) = 2*s**2 + 3*s - 9. Let j(h) = h**2 + h - 3. Let w = 15312 - 15304. What is w*j(x) - 3*p(x)?
2*x**2 - x + 3
Let i(a) = -1. Let t(d) = -7*d**2 - 5*d - 9. Let p(g) = -4*i(g) + t(g). Let q(j) = -19 + 13*j - 24*j**2 - 31*j + 1. Calculate 18*p(k) - 5*q(k).
-6*k**2
Let i(y) = 8*y**2 + 8*y - 5 + 26*y**3 + 11 - 14. Let f be (9/((-81)/(-5)))/((-19)/(-9) + -2). Let p(m) =
|
{
"pile_set_name": "DM Mathematics"
}
|
xt: -202, -163, -60, 137, 458?
933
What is the next term in 148, 155, 164, 175, 188, 203?
220
What is next in 5872, 5885, 5920, 5989, 6104, 6277?
6520
What is the next term in 78, 73, 58, 27, -26?
-107
What comes next: 1094, 1095, 1096, 1097?
1098
What is next in 11, 26, 41?
56
What comes next: 336, 333, 330, 327, 324?
321
What is the next term in -116, -227, -338?
-449
What is the next term in -557, -556, -555?
-554
What is the next term in 234, 259, 314, 411, 562?
779
What is the next term in -43, -27, 3, 47, 105?
177
What is the next term in 0, 64, 144, 240, 352, 480?
624
What comes next: -393, -567, -739, -909, -1077?
-1243
What comes next: 265, 269, 275, 283, 293, 305, 319?
335
What is the next term in -5359, -5348, -5323, -5278, -5207, -5104, -4963, -4778?
-4543
What is next in -14, -44, -82, -128, -182?
-244
What is the next term in -62, -121, -180, -239?
-298
What is the next term in 33, 89, 167, 273, 413?
593
What comes next: -4039, -8078, -12117, -16156?
-20195
What comes next: 11, 41, 97, 191, 335, 541?
821
What is the next term in 1022, 4097, 9216, 16373, 25562, 36777, 50012, 65261?
82518
What comes next: -415, -433, -471, -535, -631?
-765
What is next in 137, 126, 115, 104?
93
What comes next: -709, -2842, -6397, -11374, -17773?
-25594
What comes next: -67, -273, -617, -1099, -1719, -2477?
-3373
What is the next term in 429, 439, 463, 507, 577, 679, 819?
1003
What comes next: -543, -1084, -1625, -2166, -2707?
-3248
What is next in 379, 747, 1101, 1435, 1743?
2019
What comes next: -19, -74, -167, -298, -467, -674, -919?
-1202
What is the next term in -31, -57, -77, -85, -75, -41?
23
What is the next term in 32, 37, 46, 59?
76
What comes next: 68, 271, 610, 1085?
1696
What comes next: 21, 31, 61, 123, 229?
391
What is next in -62, -23, 4, 13, -2, -47?
-128
What comes next: 1560, 1552, 1530, 1488, 1420?
1320
What is next in -122, -273, -424?
-575
What is next in 3, 23, 47, 75?
107
What is next in -581, -569, -553, -533?
-509
What comes next: -217, -457, -697, -937, -1177, -1417?
-1657
What is the next term in -1394, -2793, -4192, -5591, -6990, -8389?
-9788
What comes next: 0, -17, -36, -57?
-80
What is next in 92, 94, 94, 92, 88, 82?
74
What is next in -46, -99, -152, -205?
-258
What is the next term in -87, -89, -91, -93, -95?
-97
What is the next term in 306, 619, 934, 1251, 1570, 1891, 2214?
2539
What is next in 1465, 2927, 4389, 5851?
7313
What is the next term in -15, -12, -9, -6, -3?
0
What comes next: -89, -89, -87, -83, -77?
-69
What is the next term in 314, 316, 310, 290, 250, 184, 86, -50?
-230
What comes next: -50, -86, -74, 10, 190, 490, 934, 1546?
2350
What is next in -9719, -9717, -9705, -9677, -9627, -9549?
-9437
What is the next term in -13, -20, -33, -52, -77, -108, -145?
-188
What comes next: 2312, 2310, 2306, 2300, 2292, 2282, 2270?
2256
What is the next term in -47, -44, -27, 10, 73?
168
What comes next: -70, -228, -554, -1132, -2046, -3380?
-5218
What comes next: 1087, 2178, 3271, 4366, 5463, 6562?
7663
What comes next: -47, -60, -75, -92, -111, -132?
-155
What is next in 404, 832, 1258, 1682, 2104, 2524, 2942?
3358
What is next in -28, 6, 100, 284, 588, 1042, 1676, 2520?
3604
What is next in 4, -9, -28, -53, -84, -121, -164?
-213
What comes next: 4000, 3997, 3992, 3985, 3976?
3965
What is the next term in 259, 260, 273, 304, 359, 444, 565, 728?
939
What is next in -624, -625, -626?
-627
What is the next term in 44, 70, 106, 158, 232, 334, 470, 646?
868
What is next in -103, -177, -277, -415, -603?
-853
What is next in 14, 15, 22, 35?
54
What is next in 217, 214, 209, 202, 193, 182, 169?
154
What is next in 2, -1, -8, -19, -34?
-53
What comes next: 36, 150, 346, 630, 1008, 1486, 2070, 2766?
3580
What is next in -43, -178, -403, -718?
-1123
What is the next term in -79, -318, -713, -1264, -1971, -2834, -3853?
-5028
What is next in 2174, 4349, 6524, 8699, 10874, 13049?
15224
What is the next term in 130, 132, 146, 178, 234?
320
What is the next term in 645, 647, 649?
651
What is next in 902, 900, 896, 890, 882, 872, 860?
846
What is the next term in 455, 458, 463, 470, 479?
490
What comes next: -45, -28, 7, 66, 155, 280, 447?
662
What comes next: 302, 299, 310, 341, 398, 487, 614, 785?
1006
What is the next term in 29, 41, 61, 89, 125, 169, 221?
281
What is the next term in -149, -299, -449, -599, -749, -899?
-1049
What is next in 63, 123, 185, 249, 315, 383, 453?
525
What comes next: 13865, 13864, 13863, 13862, 13861, 13860?
13859
What is the next term in -433, -432, -431, -430, -429?
-428
What comes next: -29, -61, -93?
-125
What comes next: 5, 18, 41, 74?
117
What comes next: 1869, 1870, 1871, 1872?
1873
What is next in 253, 269, 271, 253, 209?
133
What is next in 3311, 6614, 9919, 13226?
16535
What comes next: -1, 6, 17, 32?
51
What is the next term in -778, -1550, -2322, -3094, -3866?
-4638
What is the next term in 37, 42, 49, 58, 69, 82?
97
What is the next term in 8917, 8919, 8921, 8923, 8925, 8927?
8929
What is next in -4, -8, -16, -28, -44?
-64
What is next in -119, -236, -353, -470?
-587
What is next in -183, -238, -293?
-348
What is the next term in 58, 48, 8, -80, -234, -472?
-812
What is next in -2195, -2191, -2185, -2177?
-2167
What is next in 32, 68, 100, 128, 152, 172, 188?
200
What is next in -553, -1105, -1657, -2209, -2761?
-3313
What is the next term in 17, 20, 21, 20, 17, 12, 5?
-4
What comes next: 107, 186, 265?
344
What comes next: 108, 127, 172, 255, 388, 583, 852?
1207
What is next in -109, -115, -125, -139, -157, -179, -205?
-235
What is the next term in 3, -2, -13, -30?
-53
What comes next: 9, 16, 27, 42?
61
What is next in -38532, -38531, -38530, -38529, -38528, -38527?
-38526
What is next in 133, 140, 137, 118, 77?
8
What is the next term in 206, 194, 170, 128, 62, -34, -166?
-340
What is the next term in 69, 83, 97, 111?
125
What is next in -61, -69, -77, -85, -93?
-101
What comes next: 45, 82, 111, 132, 145?
150
What is next in 209, 227, 247, 269, 293?
319
What is the next term in -597, -595, -593?
-591
What comes next: 28, 36, 50, 70, 96?
128
What is next in 149, 1201, 4053, 9605, 18757?
32409
What is next in -15, -19, -25, -33, -43, -55, -69?
-85
What comes next: -36, -78, -122, -168, -216?
-266
What is the next term in -536, -532, -516, -482, -424, -336, -212?
-46
What comes next: 5, 0, -13, -34, -63?
-100
What comes next: 10, 4, -2, -2, 10, 40?
94
What is next in -296, -300, -306, -314?
-324
What comes next: 96, 219, 342, 465, 588?
711
What is the next term in 272, 276, 282, 290?
300
What comes next: 92, 150, 208, 266, 324?
382
What is the next term in -2, 116, 306, 562, 878, 1248, 1666?
2126
What comes next: 1859, 1857, 1855?
1853
What is next in 111, 145, 191, 255, 343, 461, 615, 811?
1055
What is the next term in 601, 598, 595, 592, 589, 586?
583
What comes next: -53, -84, -101, -98, -69?
-8
What is next in -53, -107, -161?
-215
What comes next: 11, 0, -11, -22, -33?
-44
What is next in -230, -455, -680, -905?
-1130
What is next in -35, -122, -265, -464, -719?
-1030
What is the next term in 169, 171, 175, 181?
189
What is next in 690, 694, 698?
702
What is next in 1466, 1453, 1438, 1421?
1402
What is next in -6, 4, 20, 42, 70, 104?
144
What is the next term in 19, 27, 35, 43, 51?
59
What is the next term in 0, 0, -8, -30, -72, -140, -240, -378?
-560
What is the next term in 1063, 1067, 1073, 1081, 1091?
1103
What is the next term in -353, -712, -1071, -1430?
-1789
What is the next term in 152, 178, 228, 308, 424?
582
What comes next: 569, 4576, 15449, 36620, 71521, 123584, 196241?
292924
What is next in -393, -785, -1177, -1569, -1961, -2353?
-2745
What comes next: -2746, -2744, -2740, -2734?
-2726
What is the next term in -43, -111, -171, -217, -243, -243?
-211
What is the next term in 52, 75, 100, 127, 156?
187
What comes next: -80, -71, -50, -11, 52?
145
What is next in -7, -23, -63, -139, -263?
-447
What is the next term in 445, 437, 425, 409, 389, 365?
337
What is next in 239, 270, 333, 434, 579, 774?
1025
What is the next term in -432, -1694, -3796, -6738, -10520, -15142, -20604?
-26906
What is the next term in -177, -332, -487, -642, -797?
-952
What is next in -755, -1495, -2237, -2981, -3727?
-4475
What is next in 140, 293, 446?
599
What comes next: 4809, 9616, 144
|
{
"pile_set_name": "DM Mathematics"
}
|
j.
2
Let c(v) = -2*v + 4. Let w be c(1). Solve -5*l = 3*t - 11, w - 15 = -5*t - 3*l for t.
2
Let q = -17 - -21. Solve o + 11 = -5*z, -q*o - 5*z + 3 - 2 = 0 for o.
4
Let d(b) be the second derivative of b**5/20 - 5*b**4/12 - 5*b**3/6 - 3*b**2 + 3*b. Let s be d(6). Solve s = -y, -h + y + 5 = 1 for h.
4
Let n be (-1)/2*(-60 - 12). Suppose -n = -2*k - 12. Solve k = -d - 3*d - 5*b, -5*d = -3*b + 15 for d.
-3
Let b be (-4)/(-26) + 252/52. Solve 2*l - 4*l + 4*p + 16 = 0, -28 = -b*l + 4*p for l.
4
Let t be (-21)/(-27) - (-2)/9. Suppose q + 5*k - 3 = 5, -t = k. Solve 0 = -p - 3*c + 18, -4*c + q + 7 = 0 for p.
3
Let z be (12/8)/(2/4). Solve z*t = 2*p - 20, -2*t = 3*p - 4*p + 12 for t.
-4
Suppose 0 = 25*x - 20*x - 75. Suppose -4*g = -g - x. Solve -d = 3*n + 2, -g*n + 3 + 7 = 5*d for n.
-2
Let h be (-2)/(-5) + 38/5. Let g = 11 - h. Solve -4 = 4*a + 3*n, 6 = -5*a - 7*n + g*n for a.
2
Let n be (-9)/((-36)/16) - 1. Solve 5*d - 2*u - u - 16 = 0, n*d + 4*u + 2 = 0 for d.
2
Suppose -w + 0*w = -5. Let f be ((-2)/(-2) - 0) + w. Let k be 14/8 + (-8)/(-32). Solve k*q + 2*p = 0, 0 = -q - 4*p + f*p - 6 for q.
-2
Let g(h) = -h + 17. Let o be g(13). Solve -o = 2*j + 2*f, -j + 0*j - 2 = 2*f for j.
-2
Let o = 37 - 35. Let u = 1 + -1. Solve 0 = -h - o*q - 11, 4*q + u*q = 5*h + 13 for h.
-5
Suppose 5*x - 4*x = 2. Suppose 0*k = x*k. Solve k = 3*t - 5*b + 4, -4*t + 2*b = -2*b + 8 for t.
-3
Let l(g) = -g**2 - 6*g + 8. Let o be l(-7). Let i(y) = 16*y. Let h be i(o). Solve 5*s - 5*v = 30, -4*s + 3*v + h = v for s.
2
Suppose -2*v = v. Suppose 5*c = 42 - 12. Let q = 5 - 3. Solve d - 2*h - 3*h + c = 0, v = 4*d + q*h - 20 for d.
4
Let p = -122 - -125. Solve 4*t + 4*i = 32, 4*t = -t - p*i + 30 for t.
3
Let t(c) = -4*c**3 + c**2 - c - 1. Let z be t(-1). Solve -z*g + 3*d + 12 = -20, 0 = g + d for g.
4
Let a(u) = -u - 7. Let l(k) = 2*k + 8. Let o(c) = -3*a(c) - 2*l(c). Let m be o(0). Solve 3*w + 3*f = -0 - 3, -22 = 4*w - m*f for w.
-3
Suppose -7 = -2*w + 1. Suppose w*q + q - 75 = 0. Solve 2*t - q = -i - 0*i, -5*t = i - 30 for i.
5
Let x(b) = b**2 + 10*b - 6. Let f be x(-11). Solve -o = 0, 0*o + f = -5*l - o for l.
-1
Let s(i) = -i**3 - 6*i**2 - 4*i + 7. Let o be s(-5). Solve a = o*a - 5*f, f = -3*a for a.
0
Suppose -4*i = -5*i + 3. Solve -4*x = 8, i*l - 2*l - 5*x = 10 for l.
0
Let g be 15/(-6)*-2 + 0. Solve -4*x - 3*m = -8 - g, 19 = 4*x + 5*m for x.
1
Let d = -47 + 51. Solve 1 = -4*p + q, -q + d - 3 = -5*p for p.
0
Suppose 0 = -3*d + 4*z - 3*z + 7, 1 = -2*d - 5*z. Solve 4*j = -5*v - d, 0 = 2*j + 2*v + 2*v + 4 for j.
2
Let m = -24 - -35. Suppose a - 4*b + 15 = 0, -5*a = b - 5*b + m. Suppose k + a - 6 = 0. Solve 5*u - z + k*z = -8, -5*z - 1 = 4*u for u.
-4
Let n(v) = 3*v + 48. Let r be n(-16). Solve -4*z = 3*q - 7, 2*q - z + 12 - 2 = r for q.
-3
Let z(b) = -b**2 + 4*b + 4. Let v be z(4). Suppose -2 + 8 = 2*t. Let o = -3 + 3. Solve -t*k + 4*a = o, 2*k - v*a = -3*a for k.
0
Let a be 8/(-36) + (-274)/(-18). Let r = a - 14. Suppose 4*j - 3*t + 0 = 18, 2*j - 4*t = 14. Solve -f + r = j*n - 4, -11 = -5*n - f for n.
3
Suppose 0 = -63*v + 66*v. Solve 3*x = 3*m, -3*m + 5*x + v = 2 for m.
1
Let v(i) = i**2 - 2*i + 3. Let f be v(0). Suppose -5*k + 25 = 0, -k + f*k - 85 = -3*l. Solve 5*n - l = 0, 4*n - 36 = a + 3*a for a.
-4
Let j be (0 - -5)*(-11 + 12). Suppose j*k = 16 + 14. Solve -y + 3 = 2*a, 0 = -3*a + 5*y - k*y + 7 for a.
4
Let h be 2/(-11) - 168/(-77). Suppose h*n - 64 = -2*n. Solve 4*k + 2*z + n = 0, 2*k + 3*k = -2*z - 19 for k.
-3
Let f(o) = o**3 - 2*o**2 - 4*o + 4. Let p be f(4). Let d(c) = -2*c**3 + c**2 - 1. Let q be d(-1). Solve -4*w + p = -3*u, -3*u + 20 = -q*w + 6*w for w.
5
Suppose 3*a - 10 = 5*o, -2*a + 15 = -0*o + 5*o. Let z be 3 + (o + -2)/(-1). Solve 2*q + 4*k = -2*q - z, 5*q + k - 7 = 0 for q.
2
Suppose 5*t + b - 7 = 86, -5*t + b + 97 = 0. Suppose -5*w - 4 = -t. Solve -3*d = -w*g - 24, -d = 5*g + 2*d for g.
-3
Let s(l) = -l**2 - 3*l + 5. Let o be s(0). Solve -u + 5 = 2*z - 5, o*u = 2*z + 14 for z.
3
Let a(o) = 0*o + 3 + 3 - 3*o + 5*o. Let l be a(-3). Solve -3*s + 2*r = -9, -s = -l*s - 5*r + 10 for s.
5
Suppose 2*x + 6 = -0*x. Let c be (2/x)/(3/(-9)). Solve 0 = 3*j + 4*a - 3*a + 18, -2*j + 4*a + c = 0 for j.
-5
Suppose 4*l = 109 + 83. Suppose -8 + l = -4*b. Let s = b + 12. Solve -5*i = 3*w - 0*w + 2, i - w = -s for i.
-1
Let c be -2*((-50)/(-4))/(-5). Solve 0 = -c*n - 5*f - 30, -4*n - 3*f - 14 = -4*f for n.
-4
Let j(w) be the third derivative of -w**6/120 + 2*w**5/15 + 2*w**3/3 - 4*w**2. Let y be j(8). Solve m = y*n - 7, -n + 5*m = -0*m - 16 for n.
1
Let u be 27/6*(-2)/(-3). Let q(s) = -s**2 + 4*s - 1. Let l be q(u). Solve 1 = -f - p, -l*p = -f + 5*f for f.
1
Suppose 4*g - p = 7, 3*g - 2*p = -0*p + 4. Suppose -5*o - g*l = 3*l - 25, -16 = -4*o - 2*l. Solve -18 = -2*f + o*v, -f + v = 5*v + 13 for f.
3
Let j be 18/4*(-4 - -6). Solve r = 3*c - c + j, 5*r + c = 12 for r.
3
Suppose 81 = 4*l - 7. Let p = l + -8. Solve -4*c = 2*s + 12, -5*c - 2*s - p = -0*c for c.
-2
Let m(v) = v - 10. Let c be m(10). Solve 5*q - 3*g = -c*g - 2, -q + 22 = 5*g for q.
2
Let y(v) = -v**2 + v - 1. Let b be y(2). Let a = b + 6. Let j be (-15)/(2/((-8)/a)). Solve 2*k = -2*x - 0*x + j, 4*x - 35 = -3*k for k.
5
Let h be (32/(-12))/((-1)/3). Suppose h - 22 = -2*l. Suppose -2*w + 2*n - 10 = -l*w, n = -5. Solve 4*a = w*q - 12, -2*a = -4*q + 3*q + 1 for q.
5
Let w(m) = m + 10. Let o be w(0). Let g = -17 - -22. Solve -5*p + 2*b - 1 = -o, 0 = -g*p - b + 3 for p.
1
Let m(t) = -2*t - 9. Let z be m(-6). Suppose w = -6*w + 35. Solve -z*v + 6*v = 4*o + 22, -2*v - 16 = w*o for o.
-4
Let a = 14 + -24. Let p be a*(0 + 14/(-4)). Solve -5*g + p = 3*v, 3*g - 3*v + 1 + 2 = 0 for g.
4
Suppose 0 = -4*x + 19 + 41. Solve -5*l + 9 = -2*o, -3*o + 0*o + x = 2*l for l.
3
Let r be -2 - -8 - (1 - 0). Solve -5*p - 2*a + 0*a = -31, 3*a = -r*p + 34 for p.
5
Let d = -96 + 98. Solve -r + 6*z - d = 4*z, 2*r - 5*z = -3 for r.
-4
Let w(y) = y - 7. Let k be w(11). Solve 0 = 3*j - v - 1, 3 = k*j - 8*j - 3*v for j.
0
Let a = 173 - 169. Solve 27 = -4*y + 5*z, -a*z - z = 5*y for y.
-3
Let v be ((-4)/6)/(2/(-6)). Solve -4*m - 10 = 2*r - 0, 0 = -4*r + v*m + 20 for r.
3
Let k(t) be the second derivative of -t**4/12 + 4*t**3/3 + 9*t**2/2 - t. Let d be k(8). Solve 2*a = 3*r + 3, -2*r + 8*a - 3*a + d = 0 for r.
-3
Let n(t) = -1 + 2*t - 3 - 4*t + 4*t. Let p = 7 - 4. Let b be n(p). Solve 0*y + y - 3 = -3*j, y + b*j - 1 = 0 for y.
-3
Suppose 46 = 8*g - 6*g. Suppose 2*y - 7*y + 2*u + 29 = 0, -3*y + 4*u + g = 0. Solve 0 = 2*d - 2, 3*p - d + y = -p for p.
-1
Let d = 3 + 4. Suppose 2*x = -3*t - d + 17, 2*x + t = 6. Solve -16 = -3*r - r - 4*c, -c - 8 = -x*r for r.
4
Let x be -1 - (4/6)/((-2)/15). Solve -3*i - 8 = h + 3*h, 3*i - x = 2*h for h.
-2
Let j be (-9)/(-12) - 13/(-4). Suppose j*r - 46 = 2*r. Solve 3*q = 2*w + 2*w - r, -3*w = -3*q - 18 for q.
-1
Let h be 2/(-3) + (-68)/(-12). Solve z = 4*f - 3, -z - 4*f = -h*f for z.
1
Let d = -1 - -5. Solve -3*x - p = 5, -2*x - 10 = x - d*p for x.
-2
Suppose -2*z = -1 - 9. Solve -x + 2*x + 3*n = 0, 3*x - 4 = -z*n for x.
3
Let m be 0 - 6/(-3) - 2. Suppose d = -m*d + 3. Suppose -2 = v - 2*i - 5, -3*v = -d*i - 12. Solve 4*z = -z + 4*j - 20, -j + v = 4*z for z.
0
Let p be -4*(-5 - -3)/(-2). Let i be -2*(1 - p)*-1. Suppose -2*r - 4*t = -0*r - i, -2*t - 1 = -r. Solve 3 = r*s - 4*k, -5*s - 2*k = -2*s - 21 for s.
5
Suppose -18*t = -14*t - 16. Solve -2*r + 4*r - 2 = t*v, 19 = -3*r - 5*v for r.
-3
Suppose 4*r - 3*q - 4 + 1 = 0, 18 = r + 5*q. Let m = r + -1. Solve -2*k = -4 + 2, -m*y + 5*k - 11 = 0 for y.
-3
Let f be (6/2)/((-9)/(-6)). Suppose 2*w - 24 = -f*w. Suppose -4*m + 2*c = -10, 4*c + 8 = 5*m - 0*m. Solve -2*l = -3*j + 2, -m*l - w = -5*l - 2*j for l.
2
Let r be -2 + -5 + (-1)/(-1). Let c be r/(-10) + 9/(-15). Suppose 0 = -0*q - 2*q + 6. Solve 0 = q*m - 15, 5*m = 2*t - c*m + 15 for t.
5
Let j(r) = r. Suppose 2*c = -4*h - 8, 5*c - 2*h = -3*h - 2. Let m be j(c). Let z be m + 6/1 + -2. Solve 2*d + k = -k - z, -4*d - 2 = 2*k for d.
1
Let z = -117 + 125. Solve 3*f = 3*d + 15, -4*f = -z*f - d for f.
1
Let x = 19 - 14. Let r be (3/(-2))/(1/2). Let n = r - -4. Solve x = 2*v - m, -3*v + 2*v = m - n for v.
2
Suppose 3*k - a - 9 - 7 = 0, -11 = -3*k - 4*a. Solve g + 10 = -k*l - 10, -l + g - 10 = 0 for l.
-5
Let u(m) = -m + 1. Let c be u(
|
{
"pile_set_name": "DM Mathematics"
}
|
test common factor of v and a.
24
Suppose 62*m + 54*m - 1276 = 0. Calculate the highest common factor of 2354 and m.
11
Suppose -5*n + 13 = 3. Let z(s) = 3*s**3 - 2*s**2 - 2*s + 2. Let h be z(n). Let a = 449 + -393. Calculate the greatest common factor of h and a.
14
Let d(o) = -12*o + 2 + 11*o + 0*o**2 + o**3 + 0*o**2. Let h be d(2). Calculate the highest common factor of 16 and h.
8
Let c(n) be the third derivative of n**6/60 - n**5/20 - n**3/3 + 13*n**2. Let z = 2 - -1. Let f be c(z). What is the greatest common divisor of 5 and f?
5
Let x(f) = -3*f + 88. Let w be x(21). Calculate the greatest common divisor of 375 and w.
25
Let c(w) = 2*w**2 + 9*w + 2. Let x(m) = m**2 + 5*m. Let v(f) = 2*c(f) - 5*x(f). Let i be v(-3). Calculate the highest common divisor of 144 and i.
16
Let h(a) = -a. Let j be h(-3). Let n(u) = -2 - 4*u + 4 + 1758*u**3 - 1759*u**3 + 6*u**2. Let x be n(j). Calculate the greatest common divisor of 17 and x.
17
Suppose -6*l = -11*l - 5, 0 = 2*j + 4*l - 2. Let u be (-36)/(-45) - 442/(-10) - j. What is the highest common factor of u and 462?
42
Let l be (-22 - -12)*(-2)/5. Suppose -525 = u - l*u. Let z = 64 + -39. Calculate the highest common factor of u and z.
25
Suppose -11*b = -104 - 160. What is the highest common factor of b and 20?
4
Let a be (-6 + 1)/(-5) - (-26)/2. What is the greatest common factor of 126 and a?
14
Suppose 5*g + q - 20 = 0, 9 = 3*g - 4*q - 26. What is the greatest common factor of 215 and g?
5
Suppose -5*y = z - 56, 4*y - y = 4*z + 52. What is the highest common factor of 16 and y?
4
Let u = -21 - 6. Let p be 4/18 + (-291)/u. What is the greatest common divisor of p and 77?
11
Suppose 20*n + 1680 = 9240. Calculate the greatest common factor of n and 108.
54
Suppose 3*j - 225 = -3*w, -5*j = -w - 0*w + 87. Let n be 23 - (3/4 - w/44). Suppose -h + 7 = -9. Calculate the highest common factor of n and h.
8
Suppose -12 + 1377 = 21*j. Calculate the greatest common factor of j and 15.
5
Let x be 6 + (-6 - -2) + 2. Suppose 3*n - 10 = n. Suppose -g + n = -2*h - 41, 0 = -4*g + h + 177. What is the greatest common divisor of x and g?
4
Suppose -5*s - 3*c + c - 22 = 0, 5*c = -5. Let f(t) = -9*t - 20. Let v be f(s). What is the highest common factor of 272 and v?
16
Suppose -2*z + 2*u = -2, 4*z - u = -0*z + 19. Suppose -24 = -z*b + 4*b. What is the highest common divisor of b and 30?
6
Let n(b) = b**2 - 44*b + 43. Let k be n(-21). Calculate the greatest common factor of k and 88.
88
Let d = 138 + -116. Suppose q = -2*x + 2*q + 4, 5*q = 2*x - 4. What is the highest common factor of x and d?
2
Let x = 1213 - 979. What is the highest common divisor of x and 90?
18
Suppose 5*t - 2*p = -2, 3*t + 1 = -5*p + 6. Suppose 4*u - 2 - 10 = t. Calculate the greatest common factor of u and 3.
3
Let c(x) = x**2 + 4*x - 12. Let j be c(-7). Calculate the greatest common factor of 3 and j.
3
Let r = -38 - -57. Let j(l) = 2*l**2 + 9*l + 10. Let d be j(7). Calculate the greatest common factor of d and r.
19
Let k(p) = p**2 - 13*p - 58. Let u be k(17). Suppose 0*b + 5500 = 5*b. Suppose -b = -u*x + 5*x. Calculate the highest common factor of x and 20.
20
Suppose 0 = 3*z - 2*z - 5*v + 20, 4*v = 16. Suppose 0 = -2*p + 3*p - 5*h - 52, z = 4*p - 3*h - 276. What is the greatest common factor of 27 and p?
9
Suppose a + 4*a - 80 = 0. Let y(q) = -4*q - 4. Let c be y(-2). What is the greatest common divisor of c and a?
4
Suppose 0 = 4*s + 2*h - 2130, 2*h - 7*h - 5 = 0. Suppose 0 = -3*f - z + s, f - 184 = 3*z - 23. Calculate the highest common factor of 16 and f.
16
Let h(l) = 140*l**2 - 11*l + 12. Let r be h(2). What is the highest common divisor of 22 and r?
22
Suppose 67 = 2*j + d, 2*j = -3*d + 5*d + 70. Let l = 11 + j. What is the greatest common factor of l and 15?
15
Suppose -340 = 612*g - 614*g. What is the highest common factor of 20 and g?
10
Let b be (-310)/4 - 13/26. Let t = 161 + b. Let y = t - 47. What is the highest common factor of 9 and y?
9
Let w(d) = -d**3 + d**2 - d + 112. Let q be w(0). Let n = -288 - -444. Let x be (-36)/(-90) + n/10. What is the greatest common factor of q and x?
16
Suppose -2*h - 5*t + 24 = 0, t + 4*t - 14 = 3*h. Let s be -4*(-3)/(-6) + h. Suppose x - 23 - 1 = s. What is the greatest common factor of 3 and x?
3
Let h = 415 - 385. Calculate the greatest common factor of 18 and h.
6
Let m = 11 + -11. Let u be 2 - 4 - (0 - m). Let n(c) = -4*c - 3. Let o be n(u). What is the greatest common divisor of o and 55?
5
Suppose 28 = 2*n + g - 3*g, -5*n - 5*g + 90 = 0. Suppose -2*f - 2*t = -350, -2*f - 5*t + 69 = -278. Calculate the highest common divisor of n and f.
16
Let o(m) = -m**2 - 28*m + 12. Let q be o(-6). What is the highest common factor of 18 and q?
18
Suppose -9*p = 87 - 123. Let j(b) = -b**2 - 2*b. Let a be j(-2). Suppose w + p*y - 3 = 0, a*y - 47 = -5*w - 4*y. What is the greatest common factor of 1 and w?
1
Suppose 4*r = 6*r - 2*z - 1016, 2*r + 5*z = 995. What is the greatest common factor of 707 and r?
101
Let b be 583/(((-21)/(-3))/7). What is the greatest common divisor of b and 53?
53
Suppose -2*h + 4*z - 304 = 0, -z = -2*h + 6*h + 626. Let f be 4/((-16)/h) - 1. Let i = 14 + f. What is the greatest common divisor of i and 26?
26
Suppose z = -2*t + 4*t, 0 = -3*z - 5*t + 33. Suppose -4*r = -3*l - 150, -r - 184 = -z*r + 2*l. What is the highest common divisor of 9 and r?
9
Let m be (-2)/((-6)/(-99)*27/(-72)). Calculate the highest common factor of m and 55.
11
Suppose 3*u = 2*u + 6. Suppose -h + u = h. Let s be 8 + -5 + 3/1. Calculate the highest common divisor of s and h.
3
Let m(w) = 0*w**3 + 0*w + 4*w**3 - 4 - 5*w + w**2 + 9*w. Let r be m(3). Let l = 47 + -22. Calculate the highest common factor of l and r.
25
Let u = 56 - -73. Let p be (-14)/(-70) - u/(-5). What is the highest common divisor of p and 26?
26
Let s(q) = q**3 + 6*q**2 - 9*q - 5. Let p be s(-7). Suppose o + 14 - 10 = -2*k, -2*o + 4*k = -32. Calculate the greatest common factor of p and o.
3
Suppose 35*f - 52 - 18 = 0. Calculate the greatest common divisor of f and 11.
1
Suppose -87 = -97*u + 94*u. Calculate the highest common divisor of 29 and u.
29
Suppose -323*v + 326*v = 672. Calculate the highest common factor of 24 and v.
8
Let x = -25 + 29. Let a(n) = n**2 + n - 3. Let h be a(-3). Let b be h/(-3) - (5 + -38). What is the highest common divisor of x and b?
4
Suppose -12*g = -34*g + 528. Calculate the greatest common factor of g and 84.
12
Let g(a) = -a + 17. Let m be g(8). Let k(u) = 6*u - 28. Let i be k(18). Suppose m*f - 14*f = -i. What is the highest common factor of 24 and f?
8
Suppose u - 4*s + 2*s - 104 = 0, -u + 96 = -4*s. What is the highest common factor of 98 and u?
14
Let l(j) = -151*j + 9. Let y be l(-1). Calculate the highest common divisor of y and 30.
10
Suppose 0 = 2*x - 5*p - 33, 5*x - 2*x + 2*p - 21 = 0. Suppose 1256 = 19*w - 283. Calculate the greatest common factor of x and w.
9
Let x = 1 + 5. Let r(t) = -3*t + 6. Let z(v) = -v + 1. Let c(y) = -r(y) - 6*z(y). Let g be c(x). What is the highest common divisor of g and 14?
14
Suppose 0 = 59*u - 145 - 445. What is the greatest common factor of 6 and u?
2
Let p(o) = 23*o + 177. Let q be p(30). What is the highest common factor of 51 and q?
51
Suppose -210 - 846 = -24*f. Suppose 0 = 7*y - 2*y - 20. What is the greatest common factor of y and f?
4
Let q(p) = p**3 + 6*p**2 - 8*p - 8. Let r be q(-6). Calculate the highest common factor of 40 and r.
40
Let c = -58 - -84. Suppose c = -5*l + 21. Let w = 1 - l. What is the highest common factor of w and 10?
2
Let c = 14 + -36. Let l = c - -53. Calculate the highest common factor of l and 124.
31
Let w be (81/12)/((5 - 2)/36). Calculate the highest common factor of 513 and w.
27
Suppose -12 = -5*u + u, -5*w = -5*u - 3630. Calculate the greatest common factor of w and 9.
9
Suppose -4*l + 13 + 15 = 0. Let c(a) = l*a**2 - 2*a + 20*a**2 - a. Let y be c(2). Calculate the greatest common divisor of y and 68.
34
Let m be 28*1 - (-1 + 3). What is the greatest common divisor of 117 and m?
13
Suppose -2*p = -0*p + c - 8, 0 = -2*c. Suppose 4*s - p*t + 9 = 693, 694 = 4*s - 2*t. Calculate the greatest common factor of s and 11.
11
Let b be 156/10 + (-20)/(-50). Let w(s) = -s**3 + 5*s**2 - 3*s. Let q be w(4). Suppose -q*t + 0*t + 704
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Let h(d) = d**2 - 9*d + 1. Let i(k) = 2*k**2 - 14*k + 14. Let g be i(6). Suppose 0 = -g*q + 3*b + 18, q + 22 = 4*q - 2*b. Determine h(q).
-17
Suppose -1 + 8 = -f + 3*a, 0 = 3*f - 5*a + 17. Let n be (15/(-10))/(2/f). Let h(q) be the third derivative of q**4/8 - q**3/6 + 9*q**2. Determine h(n).
8
Let y(b) = 4*b + 3. Suppose a + 4*u = -19, 0 = -33*a + 28*a + 5*u + 30. What is y(a)?
7
Let z(i) = 7*i**3 + i. Suppose -2*h - 1 = -h. Calculate z(h).
-8
Let p(h) = -7*h - h**3 + 17*h**2 + 12*h**2 + 4 - 23*h**2. Calculate p(5).
-6
Let x(q) be the second derivative of -q**3/6 - 11*q**2/2 + 128*q. What is x(-8)?
-3
Suppose 88 - 80 = -2*n. Let j = -1 - -4. Let r(i) = -6*i - j - i**2 + 5 - 5. Give r(n).
5
Suppose -7*m = 24*m. Let b(r) = r**3 - r**2 + 6. Give b(m).
6
Let p(l) = 1 - 5*l + 2*l + 5*l. Let x = -731 + 732. Determine p(x).
3
Let i(h) be the third derivative of 1/60*h**5 + 0*h - 1/2*h**3 - 17*h**2 + 0 + 1/24*h**4. Determine i(-4).
9
Let x(r) be the first derivative of -r**4/4 + r**3/3 + 2*r**2 - r - 175. Give x(-3).
23
Suppose 12 - 4 = 2*w. Suppose w*p - 170 + 10 = 0. Suppose -5*r + 4*f + p = -2*r, 5*r + f - 36 = 0. Let j(d) = -d**3 + 7*d**2 + 9*d - 9. Determine j(r).
-1
Let k(l) = -2*l - 3. Suppose 5*y - 3 = -18, -y + 17 = -5*i. Let p(h) = h**3 - 7*h**2 + 7*h - 5. Let a be p(6). Let t = i - a. Determine k(t).
7
Let f(r) = r**3 + 6*r**2 + 5*r + 3. Let n(x) = -x**2 + 8*x - 7. Let d be n(7). Suppose d = 4*z + 1 + 3. Let c be 0 + 1 + 6/z. What is f(c)?
3
Let r(m) = -2*m - 6. Suppose y + 3*y - 19 = w, 0 = 3*y + 4*w. Let c(t) = 6*t + 5 + t - 4*t. Let u(o) = y*r(o) + 5*c(o). What is u(-2)?
-13
Let d be (1 - 1) + 1 + -3. Suppose -4*m - 5*g = -33, -4*m = -0*m - 2*g + 2. Let u(h) = 2*h - 41*h**m - h - 2 + 43*h**2. Calculate u(d).
4
Let f(o) = -484 + o + 0*o + 478. Suppose -c + 9 + 8 = -3*q, 28 = 4*c - 2*q. Determine f(c).
-1
Let a(p) = p**2 + 3*p - 2. Suppose 0 = 25*o + 12 - 37. Determine a(o).
2
Suppose 0 = 2*w + 6, 11 = -n + 5*n - w. Suppose g - n*g - 1 = 0. Let y(x) = 14*x. Determine y(g).
-14
Let q(n) be the first derivative of -n**3/3 - 6*n**2 - 9*n - 229. Give q(-12).
-9
Suppose 0 - 6 = -3*v. Suppose 0 = p - 5*i, 0*i + 25 = 4*p + 5*i. Suppose -5*s + v = -3*s, -p*f - s = 29. Let b(w) = -w**2 - 6*w - 2. Give b(f).
-2
Let l(k) = 2*k**2 + 8*k - 4. Let x be l(-4). Let a be 30/(x*(-6)/16). Suppose 2*z - 5*z = -4*f + 39, 0 = 4*z + a. Let b(d) = d - 8. Determine b(f).
-2
Let m(p) = p**3 - 5*p**2 - 13*p - 5. Let o be m(7). Suppose -5*r + r = -24. Suppose 0 = 3*c - o*c + r. Let t(k) = -k**3 - 7*k**2 - 6*k + 7. What is t(c)?
7
Let m = 1 + -14/15. Let t(a) be the third derivative of 1/60*a**6 + m*a**5 + 0*a - 2*a**2 + 0 + 1/12*a**4 - 1/3*a**3. Give t(-2).
-6
Let i(b) be the second derivative of 1/20*b**5 + 0*b**4 - 2*b + 0 + 0*b**3 - 3*b**2. Let d be i(0). Let p(t) = t - 2. Determine p(d).
-8
Let a = -10 - -1. Let t(b) = -b - 91 - 93 + 179. Give t(a).
4
Let j = 419 + -417. Let q(d) = -11*d + 2. Determine q(j).
-20
Let x(h) = -h**2 + 10*h - 12. Let r = -254 - -260. Give x(r).
12
Let i(s) = -s**3 + 2*s**2 + 4*s - 2. Let r be i(3). Let w(y) = 2*y - r - 1 - 1 + 6. Determine w(-3).
-3
Let j(z) be the first derivative of -z**4/24 + 4*z**3/3 - 6*z**2 - 16. Let f(r) be the second derivative of j(r). Give f(-7).
15
Let x(y) = -y**3 + 6*y**2 + 7*y + 4. Let k(c) = -c - 1. Suppose -4*z - 4 + 0 = 0, -5*z = 3*a + 2. Let t = -9 + a. Let h be k(t). Give x(h).
4
Let l = 15 + -13. Let r(h) = -8*h + 2032*h**3 - 2031*h**3 - 6*h**l + 0 + 10. What is r(7)?
3
Let z(b) be the first derivative of 4*b**2 + 1/3*b**3 + 30 + 7*b. Determine z(-6).
-5
Let s(g) = -7*g - 3. Let k(a) = a + 1. Let h(p) = 10*k(p) + 2*s(p). Give h(8).
-28
Suppose 5*w - 17 - 3 = 0, 4*a + 4 = 2*w. Let t(d) = -4*d - 5. Let m(l) = l + 2. Let g(f) = 5*m(f) + 2*t(f). Determine g(a).
-3
Let n(d) = 199*d + 2 - 196*d - d**2 - 2. Give n(2).
2
Let u(v) = 2*v**3 + 3*v**2 + 3*v + 1. Let q = 9 + 0. Let n be q - (-3 + 9/3). Let s(d) = d**3 - 8*d**2 - 8*d - 11. Let o be s(n). What is u(o)?
-9
Let a(t) be the third derivative of 0 + 1/3*t**4 + 0*t - 7/6*t**3 - 1/60*t**5 - 12*t**2. Determine a(6).
5
Suppose 42*a - 29*a - 104 = 0. Let t(n) = -n**2 + 14*n - 47. Calculate t(a).
1
Let w be (3 + -4 + 3)*41. Let t(m) = 46 + 39 - m - w. Determine t(-7).
10
Let g(k) = k**3 + 9*k**2 - 8*k + 21. Suppose -5*u + 25 = 0, 3*u = 4*v - 0*u + 55. Let q be g(v). Let r(s) = s**3 - 1. What is r(q)?
0
Let y(g) be the third derivative of 0*g + 0 + g**2 - 1/6*g**4 - 1/2*g**3. Suppose -2 = -3*p + 2*c, 3*p - 4*p - 10 = 2*c. What is y(p)?
5
Let v(a) = -2 + 3*a + 2 + 6. Let m(w) = 26*w + 2 - 8*w - 17*w. Let j(x) = -7*m(x) + 2*v(x). What is j(-5)?
3
Suppose 7*q = 2*c + 2*q + 26, -c - 3*q = -9. Let d(z) = -3*z**3 + 2*z. Let w(s) = 16*s**3 - s**2 - 9*s + 1. Let i(t) = 11*d(t) + 2*w(t). Give i(c).
-1
Let k(g) = 8*g**2 - g + 1. Let p(a) = a**3 + 4*a**2 + 3*a + 4. Let r be p(-3). Let d be (8/r)/(1/2). Suppose -u - y = -d*u - 1, -5*y = -20. Determine k(u).
8
Suppose -3*k + 6*k = 3*q + 36, 7 = k + 4*q. Let j(c) = -k + 0*c - c + 6 + 7. Give j(7).
-5
Let n(t) = -t**2 + 17*t + 24*t + 23 + 5*t - 31*t. Calculate n(16).
7
Let b be 4/((-9)/(-135) - 1/(-3)). Let k(s) = -s**2 + 13*s + 6. Determine k(b).
36
Let x(g) = 3*g**2 + 2*g + 1. Suppose 3*j + 1 = -2*y, 4*j + 3*y = -1 - 0. Let p be x(j). Suppose 5*q - 16 = -p*b, -b + 2 + 3 = q. Let f(k) = -k. Give f(b).
-3
Suppose 8*t - 367 = -327. Let b(k) = k**2 - 7*k - 1. What is b(t)?
-11
Let d = 2 + -2. Suppose 9*b = 6 + 183. Let v(f) = 13 + 17 - b + f**2. Determine v(d).
9
Let n = -93 + 96. Let t(y) = -13 - 4*y - n + 7*y - 4*y. Determine t(-9).
-7
Suppose -3*d - 4*i = 2 - 3, -3*i + 6 = 4*d. Suppose 99 = d*u + 8*u. Let o(p) = -p + 12. Calculate o(u).
3
Let z(s) be the third derivative of s**6/120 + 7*s**5/60 - s**4/24 - s**3/3 - 2*s**2 + 62*s. Give z(-7).
5
Let m = -684 + 680. Let s(l) = l**3 + 4*l**2 - l - 6. Give s(m).
-2
Let s be (28/(-6))/((-5)/30). Let i be (s/35)/((-4)/(-10)). Let j(g) = -i*g - 15 + 11 - 3*g - 2*g**2. Calculate j(-3).
-7
Let w(p) = p**3 - 8*p**2 + 6*p + 10. Suppose 272 - 90 = 26*y. What is w(y)?
3
Let y(r) be the third derivative of r**6/60 + r**4/24 - r**3/6 - 25*r**2 - 2*r. Determine y(-2).
-19
Let v(m) be the first derivative of -m**4/4 + 10*m**3/3 + 13*m**2/2 - 2*m + 155. Give v(11).
20
Let i(l) = l**2 - 5*l + 3. Suppose h = -3*t + 7, -3*h + 6 = -t + 25. Suppose -2*v = -3*x - 7*v + 16, -t*x + 3*v + 2 = 0. Let y be 1*(1 + x - 0). Determine i(y).
-3
Let g(q) be the third derivative of q**6/120 - q**5/60 + q**4/24 + q**3/3 - 159*q**2. Give g(-2).
-12
Let l(n) = 1 + 5*n**2 + 5*n**2 - 11*n**2 + 19*n + 20*n - 31*n. Give l(4).
17
Let q(s) = 10*s**3 - 20*s**2 + 4*s - 26. Let i(m) = -3*m**3 + 7*m**2 - 2*m + 9. Let u(o) = 7*i(o) + 2*q(o). What is u(8)?
27
Let c(x) = -x + 20. Let t be c(16). Let o(b) = -9*b**3 + t - 1 - 4. Give o(-1).
8
Let l(i) = -7 + 270*i + 274*i - i**2 - 534*i. Determine l(9).
2
Let l(z) be the first derivative of 1 - 2*z + 3/2*z**2. Give l(-3).
-11
Let p(o) = 3*o + 20. Let r(q) = -24*q + 18. Let x be r(1). Calculate p(x).
2
Let n(m) be the first derivative of 3*m**2 - 4*m + 105. What is n(-4)?
-28
Suppose 5*z - 2*g = 3*z + 50, -5*g - 41 = -2*z. Let y(i) = 59*i**2 - 32*i**2 - 7*i - z*i**2 - 6. Calculate y(-6).
0
Let l(g) = g**3 - 4*g**2 + 2. Suppose 4*v - 4*j = 36, -2*j - 32 - 16 = -5*v. Suppose -2 = -11*u + v*u. Calculate l(u).
-6
Let d(b) = -2*b + 4*b - 1 + 712*b**2 + 0*b - 715*b**2. What is d(1)?
-2
Let x(d) be the first derivative of -9 + 3*d - 1/2*d**2. Let v be x(3). Let t(f) = -f**3 - f**2 + 2. Calculate t(v).
2
Suppose 51*z + 85 + 17 = 0. Let p(j) = 4*j - 3. Give p(z).
-11
Let v(f) = -f**3 + 4*f**2 - f - 3. Suppose -9 = 5*b - 9. Suppose b = j + 2*j - 9. Determine v(j).
3
Let w(c) = c**2 - 8*c + 8. Suppose -87*f = -90*f + 39. Let j = f + -5. What is w(j)?
8
Let q(j) = -j**3 - 7*j**2 - 5*j - 5. Let g be 0 - ((-54)/63)/(1/(-7)). Calculate q(g).
-11
Let m(h) = h**2 + 5*h + 2. Let o(g) = -g - 25. Let z be o(-17). Let x = z - -4. Give m(x).
-2
Let q(n) be the first derivative of -n**4/4 - n**3 + 5*n**2/2 - n - 1. Let l(i) = 267*i - 16558. Let f be l(62). Determine q(f).
-5
Let h(y) be the third derivative of -y**5/60 + y**4/24 + y**3 + 26*y**2. Let a = 2 + -3. Let u be (-1 - a - 0) + 0. Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
13 + 40 - -15.
-24
What is 8 + (2 + 1 + (36 - 60) - 5)?
-18
9 + -5 - 3 - -14
15
37 - (56 + -36 - 11)
28
Calculate -3 - ((34 - 27) + (1 - (15 - -1))).
5
Calculate -4 + (5 - 4) + 7 + 5.
9
What is (-6 - (15 + -29)) + 10 + (2 - 11)?
9
Calculate -1 + (-35 - 1) + 4 + -44 + 49.
-28
Evaluate -33 - (-29 + 3) - -32.
25
Calculate (-1 + 4 - 3) + -4 + -2 + 5.
-1
What is the value of 2 + (5 - -2 - (1 - -3)) + 3?
8
What is -2 + -1 - (26 + -12 + -7) - 9?
-19
-9 + -1 + 27 + -33
-16
-9 - ((-14 - -4) + -10)
11
What is 1 + (16 + -8 - 3)?
6
What is the value of -5 + (-8 - (-8 + 5)) + 1?
-9
What is -19 + (-14 + (-1 - -7) - (-14 - -1))?
-14
6 - (12 + -6 + 10)
-10
What is 10 + (4 - (9 + -4))?
9
35 - (3 + 15) - 11
6
What is (24 - (-14 + 41)) + 1 + 1?
-1
Calculate 10 - (14 - (-19 + 11) - -13).
-25
Evaluate -13 + -37 + 53 + 8 + -3.
8
Calculate 28 - 36 - (-8 + 0 + -2).
2
What is (-9 - 3 - -9) + (3 + -1 - -16)?
15
What is (-1270 - -1291) + 1 + -14?
8
What is the value of 6 + 22 + -13 + -26?
-11
Evaluate (-5 - -6) + 7 - 13 - (-2 - 0).
-3
(-6 - -3) + -8 + 17
6
What is -2 + 0 + 2 + 3?
3
Evaluate (-79 - -89) + 0 + -7 - 8.
-5
(10 - 10) + -8 + (-2 - (-3 + 21))
-28
-43 + 14 - -24 - -6
1
What is 1 - (16 - 24) - (6 - -6)?
-3
What is the value of 33 + (2 - (0 + 19)) + 13?
29
58 + -57 + (-3 + 7 - 1) + -27
-23
26 + 19 + (20 - 67)
-2
What is (-2 - 14) + (-8 - -16) + -2?
-10
-2 + 1 + (-15 - (7 + -10 - 1))
-12
Calculate (-3 + -7 - -6) + -7.
-11
Evaluate (-56 - -4 - -26) + 12.
-14
What is 37 - (22 + -24 - -32)?
7
Evaluate (-5 - (-6 + -33)) + 15 + -14.
35
What is (1 - 9) + (-6 - (-17 + (-4 - -15)))?
-8
Evaluate (-497 - -479) + 0 + -1 + 9.
-10
Evaluate 1 - 19 - (11 - 5) - -15.
-9
Evaluate 145 + -175 + 16 + 1.
-13
Evaluate -35 + 1 + 6 + 11.
-17
Evaluate 118 + -107 - (-4 + 6).
9
What is (-1 + 13 - 1) + (-48 - -69) + -53?
-21
Calculate (-2 - 1) + -1 - (-60 - -60).
-4
What is -5 - (-7 + 30 + -23)?
-5
What is the value of 15 + 0 - (12 + -13 - -5 - 6)?
17
Calculate 24 + -19 - (12 - -12).
-19
What is the value of 7 + (0 + -12 - (-13 + 27 + -25))?
6
What is the value of 28 + 4 + 92 + -95?
29
What is the value of -7 + (3 - (0 + 11) - (-1 - -24))?
-38
Calculate -16 + 21 + -18 - (-2 + (2 - 2)).
-11
What is the value of 14 + -6 + -1 + (-4 - 8)?
-5
What is -18 + 35 + -14 - 9?
-6
Evaluate (14 - -5) + -11 + -12 - 10.
-14
What is (16 - ((6 - 10) + 10 + -8)) + 7?
25
What is (4 - -11) + -121 + 135?
29
What is -1 + -4 + 4 - (-5 - (3 + -8))?
-1
Calculate (-202 - -215) + -28 + 2.
-13
-15 - (-3 + 13 - 14)
-11
Calculate -10 + 1 - (-222 - -215).
-2
What is the value of -6 - -1 - -12 - 5 - 2?
0
Evaluate (-4 - -9) + 0 + 35 + -28.
12
What is the value of -6 + (0 - (-6 - 1) - 0) - 3?
-2
Evaluate 61 - 37 - 16 - (0 - (-1 - 27)).
-20
What is the value of -2 + -3 - (99 - 104)?
0
Calculate (-5 - -36) + -59 - ((-3 - 3) + 0).
-22
4 - 13 - (-1 - 4)
-4
Calculate -9 + (-1 - (-23 + 21)).
-8
-35 + 43 + (0 - 3) + 1
6
What is the value of (-4 - 1) + (-12 + 5 + 19 - 4)?
3
Calculate (6 - (3 + -6 + -3)) + -9.
3
Calculate -4 + 17 - (150 + -142).
5
Calculate -6 + 22 + -11 + 9.
14
What is 1 - (-36 - -29 - (2 + 0 + -2))?
8
What is 3 + (1 - 3 - -1) + 2?
4
What is 17 - (0 - (0 + 2) - (-32 + 37))?
24
-1 - -8 - (-93 - -106)
-6
What is -77 + 72 + (-2 - -8 - -2)?
3
Calculate 8 + (-1 - (-4 + -2) - (3 - 0)).
10
37 + -27 + -28 - -15
-3
Calculate -14 + -5 + -6 + 14 + 7 + -13.
-17
(-2 - -14) + -17 + 13 - (1 + 23)
-16
What is the value of -14 + (-82 + 134 - (13 + -3))?
28
Calculate 0 + 18 - (-9 - (-13 + -8 + 8)).
14
Evaluate -12 + 26 - 23 - 3 - 3.
-15
What is the value of (4 - (0 - -9)) + (-16 - -14) - 1?
-8
Calculate -9 + (-8 - -37) - (5 + -3 + 1).
17
What is 96 - 79 - (-13 - (-1 - (-2 - -2)))?
29
Evaluate (-11 + 16 - -4) + (3 - 4).
8
1 + -1 + -1 - (731 - 716)
-16
7 - ((-8 - 0) + (22 + -20 - 5))
18
Evaluate (27 - 14 - 20) + -5.
-12
Evaluate (-1 - 7) + (-20 + 31 - 14).
-11
What is 404 + -413 - (0 - -1 - 18)?
8
What is the value of -28 + 19 + -12 - -19?
-2
What is 3 + -18 - (4 - 21)?
2
-15 - (5 + -28 - -23)
-15
What is the value of (10 - (7 - -16)) + 24?
11
-13 + (14 - (1 + (-2 - -8)))
-6
4 - (2 - (0 - -7) - -15)
-6
What is the value of -16 - (-10 + -2) - -2?
-2
Calculate -12 - (-5 - -2) - (-11 + 12).
-10
What is (-14 + 10 - -6) + -2 + 10 + -6?
4
0 + -11 + -53 + 57
-7
What is 71 + -46 + (-13 - -9)?
21
Calculate (52 - 86) + 20 + 5.
-9
Evaluate (9 - 6) + (-33 + 18 - (-7 + 3)).
-8
What is the value of (-7 - -9) + 7 + 20 + -19 + 27?
37
What is the value of -16 + (2 - -11) + 0 + -1 + 15?
11
What is the value of ((21 - 59) + 76 - (0 - 8)) + -10?
36
Evaluate (-1 + 1 + -2 - (-2 - 5)) + 8.
13
What is (20 - 3) + 10 + -26?
1
What is the value of 3 + (17 + -24 - -4) + (-18 - 1)?
-19
Evaluate 4 + -15 + -7 + 10.
-8
What is -2 + -3 - 4 - -1 - 4?
-12
Evaluate -59 - ((-100 - -33) + 31).
-23
Calculate -478 + 487 + 15 + 0.
24
What is the value of 5 + 0 + -6 + 1?
0
13 - (-13 - -16) - -17
27
Calculate -10 + 4 + (-21 - -11) + 10.
-6
Evaluate 14 + (-3 - 7) + (9 - 7 - -3).
9
6 + ((3 - (7 - -6)) + 4 - 11)
-11
Evaluate 8 + (-5 - (-7 + 0 - 9 - -3)).
16
What is the value of 19 + 30 + -22 + 13?
40
What is the value of -586 + 606 + -41 + -1?
-22
What is the value of (2 - 1) + (-1 - -4) + 1 + 8?
13
Calculate 7 + -5 + (4 - -3 - (25 - 24)).
8
What is the value of (-1 - (-12 - -6)) + -6 + 1?
0
Calculate -7 - (7 - -5) - (-7 - 4).
-8
What is the value of 8 - (3 - 0 - (24 - 17))?
12
Evaluate -7 - (-4 + 7 + -8 + (-3 - -13)).
-12
What is 4 + (-2 + 5 - (-20 - -16) - 15)?
-4
Calculate -5 + (2 - 1 - (2 - 1)) + -7.
-12
Calculate -8 - -3 - ((1 - -9) + (26 - 27)).
-14
What is (0 - -11) + -23 + -15 + 37?
10
What is (5 - (10 - 0 - 1)) + -1 + 0?
-5
Evaluate (10 + (-4 - 2) - 5) + -6.
-7
3 + (-9 - -5) + 4 - (-3 + 4)
2
What is 25 + (-25 - (0 + -2))?
2
Evaluate 7 - (4 + (9 - 10 - 7)).
11
What is -5 - -1 - (-19 + 7 + (12 - 12))?
8
What is the value of 0 + 28 + 850 + -870?
8
What is the value of (81 - 76) + (4 - (4 + -3))?
8
Calculate -11 - (9 - (11 + -8)).
-17
Calculate -9 + -23 - (-1 - 6).
-25
What is -10 - (-14 + (8 - 3))?
-1
Calculate 4 + -13 + 7 - -15.
13
Evaluate 1 + -53 + -29 + (-51 - -96).
-36
-2 + 8 - (-41 + 27)
20
Evaluate 9 + -7 + 18 + -5 - 8.
7
Calculate -5 + ((4 - 3) + 10 - -14).
20
-1 + 1 + -2 + (-28 - (-21 + 3))
-12
Evaluate (-183 - -160) + -2 + 25.
0
Calculate -11 - (-16 - -5 - 1).
1
277 + -293 - (-1 + -51)
36
Calculate 0 + 7 - (4 - (-2 - 0)) - -9.
10
Evaluate (-1 - 46) + 17 - (-12 + 2).
-20
Evaluate (80 - 91) + 27 + -1.
15
What is the value of (-33 - -2) + 310 + -287?
-8
-8 + 10 - ((1 - 6) + -1 - 0)
8
What is the value of -5 - (21 - (0 + 16))?
-10
(-9 + 10 - 12) + 9
-2
What is 14 + -6 - ((4 - -1) + -1 + 1)?
3
-18 - ((4 - -10) + (-12 - -7 - 1))
-26
-5 + 9 + 4 - (33 - 25)
0
What is (-1 + 0 - (28 + 0)) + (-61 - -69)?
-21
Calculate 8 - 3 - 8 - -15 - -10.
22
What is the value of (24 - (30 + -13)) + -17?
-10
Calculate 23 + 11 - 21 - 40.
-27
(-3 - -24) + -15 + (18 - 8)
16
Calculate -4 + 0 + -59 + 14 + 72.
23
What is the value of -30 - (-39 + 32 - -13)?
-36
Evaluate 7 - (-12 + 3 + 1 + 1 - -4).
10
143 + -126 + (2 - (0 - (-7 - 0)))
12
Calculate (-3 - 0 - 12) + (5 - (-2 + 4)).
-12
What is 6 + (8 - (-7 + -6 + 13))?
14
What is 2 + -1 + -3 - (-78 + 81)?
-5
-13 + 4 + ((2 - 16) + -2 - -8)
-17
Evaluate -97 + 103 + ((-15 - -1) + 1 - 0).
-7
1 - 2 - (-7 + 69 + -39)
-24
What is 8 - (13 - (20 + -11 - 3))?
1
What is the value of 67 + -14 + -22 + -30?
1
0 + -3 + -4 + 7 + 0
0
Calculate 5 + (-4 + -2 - 14) - (-13 - -7).
-9
What is -2 + 13 + 3 + 5 + 1?
20
What is the value of -14 + 18 + -11 - (1 + -11)?
3
(16 + -9 - ((-5 - 13) + 13)) + -2
10
Evaluate -23 + (36 - (-2 + 24)).
-9
Evaluate 23 + -3 + 7 + -35.
-8
Evaluate (2 - 11 - -3) + (48 - 46).
-4
Evaluate 10 + -80 + 69 + 1 + 0.
0
18 + -62 + 1 + 5 + -9 + 11
-36
What is (3 - ((-12 - -18) + 3)) + -25?
-31
What is (31 - 21) + 6 + -9?
7
(28 + -16 - 35) + 14
-9
-52 - -33 - -28 - 25
-16
Calculate -9 + 1 - (-24 + 27 - -1).
-12
Evaluate 1 + (-5 - 1) - (-13 + 30 - 23).
1
12 + (-14 - (11 + -37)) + -43
-19
Evaluate 21 + (20 - 45) + -14.
-18
What is the value of (2 - 7) + (-4 - (-3 - 4 - 6))?
4
Evaluate -11 + 14 + 25 + -12.
16
Calculate 28 - (-20 + 9 - 0 - -19).
20
Evaluate -330 - -331 - (0 - 1 - -4).
-2
What is 9 + 15 + -47 + 13?
-10
Calculate -22 + 5 + 23 - ((1 - 4) + 0)
|
{
"pile_set_name": "DM Mathematics"
}
|
0182, -j + 710107 = -3*w + 40022. Is j a composite number?
False
Let w be (42/5)/(7/35). Let l be w/(-9) + 1/(-3). Is -2*(-1)/(-1) - (-2599 + l) prime?
False
Let i = -2915 - -177. Let q = 811 - 442. Let p = q - i. Is p composite?
True
Let b be -10*(-12)/16*6. Let t = -43 + b. Suppose -2*a + 1001 = q, 0*a + 2030 = t*q - 3*a. Is q a prime number?
True
Let g(k) = k**3 - 5*k**2 - 3*k + 9. Let j be g(5). Is (40168/16)/((j/4)/(-3)) composite?
False
Let n be 19688/6 + 164/(-123). Suppose -s + 17235 = n. Is s prime?
False
Suppose 0 = 32*k - 11*k + 54159. Let x = k - -6985. Is x composite?
True
Let a = -21736 + 145025. Is a prime?
True
Suppose d = -0*d. Suppose d*q - 5*q - 387 = -h, -5*q - h = 393. Is (-127)/(-2)*q/(-13) a prime number?
False
Let y = 270641 - -19326. Is y a composite number?
False
Suppose -5*u - 7 + 3 = -4*t, 2*u - 2 = -2*t. Suppose -4*k - 424 = -2*y - 3*k, 5*y + 2*k - 1051 = u. Is y prime?
True
Let j be ((-45)/4)/((-2)/(104 + 0)). Is j - ((-1)/2 - 21/14) a composite number?
False
Let v be (-1)/((117/297)/(-13)). Let y(a) = 15*a**2 + 5*a + 79. Is y(v) composite?
True
Let m = 307 + -212. Let f = 101 - m. Suppose -7450 = -f*h - 472. Is h composite?
False
Let a be (-48)/(-168) + 128/(-7). Let j be 3 - -1 - 0/a. Suppose -j*m = -142 - 70. Is m prime?
True
Suppose o - x + 1907 = 0, o + 6*x + 1919 = 3*x. Let j = 4671 + o. Is j composite?
True
Let y be (1 - 6)/(-4 - 990/(-248)). Let r = y + 98. Is r a composite number?
True
Let n(j) = 459*j + 40. Let f(t) = -915*t - 81. Let c(h) = 6*f(h) + 14*n(h). Is c(5) prime?
False
Let s(f) = 80954*f**3 - 2*f**2 - 15*f + 16. Is s(1) a prime number?
True
Suppose -8580 = 21*z - 31*z. Let g = -593 + z. Is g prime?
False
Let f(c) = 294*c - 3671. Is f(38) a prime number?
False
Suppose 532041 = -2*p + 5*g, -3*p - 11*g - 798057 = -14*g. Is p/(-14) + (-7)/147*6 a prime number?
True
Let x = -859390 + 2028477. Is x composite?
True
Let f be ((-28)/(-8))/(2/4). Let w(q) = -q**3 + 8*q**2 - 5*q - 14. Let t be w(f). Is t/(-2) - -1*953 a composite number?
False
Let f = 295124 - 143005. Is f a composite number?
True
Suppose -84*o + 399271 = -283061. Is o a composite number?
False
Let f be 4/(-6) + 18368/(-42). Let y = f - -3697. Is y composite?
False
Suppose 3*s = -5*i + 735095, -21*s - 588076 = -4*i - 26*s. Is i composite?
True
Let t = 1000 - -2261. Is t a prime number?
False
Suppose -3*a - 3*i + 6*i + 39 = 0, 4*a - 3*i = 57. Let w be a/8 + 1/(-4). Is (-3802)/(-3) - w/6 composite?
True
Let g(d) = 1875*d + 13. Let v = 188 - 182. Is g(v) a prime number?
False
Let n(k) be the third derivative of 19*k**5/60 - 13*k**4/24 + k**3/6 - 25*k**2. Is n(-9) a prime number?
True
Suppose 31*k - 5*q + 115 = 35*k, 4*k - 122 = 2*q. Suppose k*h = h + 275181. Is h prime?
False
Let i(o) = -7*o - 2. Let p be i(-1). Suppose -5*k + 13 = 4*r, p*r + 5*k + 3 = 18. Is r/6 + (-22524)/(-9) a composite number?
False
Suppose -1606 + 14619 = 11*l. Suppose 8154 = y + 2*y. Let t = y - l. Is t a composite number?
True
Let d(h) = 959*h**2 - 33*h + 11. Is d(-7) a prime number?
False
Let m(l) = 2*l - 2. Let q be m(2). Let p(k) = 18*k**2 + 50 + 11*k**2 - 42*k**q - 20*k + k**3 - 7*k**2. Is p(21) prime?
True
Is ((60/120)/(6/4))/(2/2031654) a prime number?
True
Suppose 4*l - 426643 - 183965 = 4*d, 0 = l + 7*d - 152612. Is l a composite number?
True
Let b = -6823 - -18790. Is b a composite number?
True
Let o(x) = -x**2 - 79*x + 49. Let c be -15 - (2 - (-16)/(-8 - -4)). Is o(c) prime?
True
Let u(l) = 148*l - 35. Suppose 4*q = 3*f + 6, 0 = -2*q + 7*q + 5*f - 25. Is u(q) composite?
False
Let x = 526 + -489. Suppose -7286 = -x*z + 7255. Is z a composite number?
True
Let x = 87 + -84. Suppose -6*f + 2*f - x*u = 60408, 0 = -5*f - u - 75510. Is (-1 + -9)/(36/f) a prime number?
False
Let s(z) = 1354*z**2 + 45*z + 257. Is s(-6) prime?
True
Let z be (-108)/(-51) + 14/(-119). Suppose 1275 = -z*g + 4513. Is g prime?
True
Suppose 2*l - 8 = -4*z, l - 2*z - 2*z + 14 = 0. Let c(j) = -212*j**3 - 5*j**2 - 10*j - 3. Is c(l) a composite number?
False
Suppose q + 4*q - 162 = -2*f, 2*q + 3*f - 56 = 0. Suppose 19*o + 18825 = q*o. Is o composite?
True
Suppose 18 + 10 = -3*c + 5*y, -y - 16 = 3*c. Let v be (-28)/c + (-3)/(0 - 9). Suppose 2457 = v*z - 2*t + 3*t, -3*z + 1463 = -5*t. Is z prime?
True
Suppose 0 = -5*w - 3*z + 3664, -2*w + 4*z - z = -1474. Let l = w + 5864. Is l a composite number?
True
Suppose 119 = -2*u - 505. Let p = 394 - u. Is p composite?
True
Let m(w) = -23*w + 86. Let q(i) = -2*i + 2. Let j(t) = -m(t) + 2*q(t). Is j(11) a composite number?
False
Suppose 18*g - 56 = 142. Suppose g*u - 64422 = 1897. Is u a composite number?
False
Let t be (-9111)/15 - (69/15 - 5). Suppose 0*x - 3*c = -2*x - 3837, 2*c + 3862 = -2*x. Let g = t - x. Is g a composite number?
False
Suppose 0 = -5*k + 60 + 15. Let q be 3*(34/(-8))/(k/(-500)). Let f = q + -18. Is f a prime number?
False
Let o(q) = 4910*q**2 - 3*q - 4. Is o(-1) a composite number?
False
Let h be (6 - 6)/(2 - 1). Suppose -53*x + 51*x = h. Suppose 5*a = 5*y + 2395, 3*y - 2*y - 2 = x. Is a prime?
False
Let b be (93/(-3))/(-1 + (0 - -2)). Let r(w) = -2*w**3 - 60*w**2 - 18*w - 43. Is r(b) a composite number?
False
Suppose -3*f + 0*f + 510 = 0. Let r = f - 98. Let n = r + 835. Is n prime?
True
Is -1 + (1 - (-241498 + 2)) + 48 + -49 a prime number?
False
Let x(y) = 272644*y + 22325. Is x(12) prime?
False
Let l(n) = 31*n + 96. Let d be l(-3). Suppose g = -3*k + 1399, -3*k + d*g + 211 = -1196. Is k composite?
False
Suppose -4*k + 158159 = b, -22 = -3*b - 37. Is k prime?
True
Suppose -1430 = -6*c + 4*c. Let o = -101 + c. Suppose 2*t + o = 3*t. Is t a composite number?
True
Suppose 4*s - 32 + 16 = r, -3*s = 3*r + 18. Is (16/4)/r*-5786 composite?
True
Let o be 75/(-10)*(-48)/20. Suppose -o = 5*h - 11*h. Suppose -v - h*s + 235 = 0, 397 = 2*v - 2*s - 41. Is v prime?
True
Let a(y) = -13*y + 17813. Is a(0) a prime number?
False
Suppose -2430312 = -170*r - 985142. Is r prime?
True
Suppose -5*f + c - 8 = -20, 5*f + 4*c = 2. Let w be f/6 - ((-501)/9 + 1). Suppose w*k - 53*k - 236 = 0. Is k prime?
False
Let k(d) = -13*d**3 + 27*d**2 - 7*d - 444. Is k(-13) prime?
True
Let p(f) = 9*f**3 + 13*f**2 - 16*f + 195. Is p(41) a prime number?
True
Let x = -111 + 127. Is (-92)/x*(1094/(-2) - 1) a prime number?
False
Let a(x) = -x**3 - 8*x**2 + 1. Let f = -26 + 37. Let d(m) = 2*m**3 + 15*m**2 - m - 2. Let p(s) = f*a(s) + 6*d(s). Is p(10) prime?
False
Is 77630/6 + (-20)/(-6)*70/(-175) a composite number?
True
Let z be 522048/24 + -5 + 0. Suppose 86*w - z = 83*w. Is w prime?
False
Suppose 112*k + 10640 = 114*k. Suppose 5*r - k = -1635. Is r a prime number?
False
Suppose 0 = -g - 8, 372*c - 4*g + 634574 = 374*c. Is c a composite number?
True
Suppose -2*x = 2, v + 4*x + 35667 = 2*v. Is v a composite number?
True
Suppose 80*u - 85*u + 10 = 0. Suppose -4173 = -u*p - 527. Is p a prime number?
True
Suppose -49 = 11*b - 104. Suppose 14*w + b*w = 71953. Is w prime?
False
Let o = -21155 - -27624. Is o a composite number?
False
Let h = 9 - -48. Let b = h - 49. Suppose -b*x = -6*x - s - 262, 4*s + 532 = 4*x. Is x prime?
False
Is 16 - (-53864)/32*124 a composite number?
False
Let t(c) = 858*c**2 + 5*c + 13. Let x be t(6). Let s be ((-1)/((-2)/(-3)))/((-1)/3254). Suppose 10*z + s = x. Is z a prime number?
False
Suppose j - d = 18702, -2*d - 56111 = 11*j - 14*j. Let r = -5489 - 7237. Let f = r + j. Is f composite?
False
Suppose -9*x + 1812 + 5235 = 801. Is x prime?
False
Let k = 67 + -203. Let y = 2319 - k. Is y a composite number?
True
Suppose 22 = 6*d - 2*d + 3*c, 3*d + c - 14 = 0. Let n be (-1)/d + (-18)/(-8). Suppose -n*w = w - 1167. Is w composite?
False
Suppose -10768 + 106576 = 32*a. Let p = 3035 + a. Is p a composite number?
False
Let f = -470 - -462. Let z(d) = -1318*d + 21. Is z(f) prime?
False
Let t = -300 + 310. Let z(o) = 76*o**2 - 14*o + 49. Is z(t) composite?
True
Suppose j - 21 = -4*l, -2*j + 2*l + 78 = l. Suppose -4*y + j = 41. Let s(b) = -1560*b**3 + 1. Is s(y) a composite number?
True
Let v = 41645 + -29106. Is v composite?
False
Suppose 5*d - 5846 = 4*q, 4*q + d - 2627 + 8485 = 0. Let x = 10679 - q. Is x a composite number?
False
Let j(y) = y**2 + 27*y + 1315. Is j(-54) a composite number?
True
Is ((-5)/3)/((-10)/476094) a prime number?
True
Let y = -73
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
Factor -3*q**2 - 73854*q + 73857.
-3*(q - 1)*(q + 24619)
Let -k**4/4 + 2135*k**3/4 - 8483*k**2 + 14833*k = 0. Calculate k.
0, 2, 14, 2119
Factor 4*h**4 + 2856*h**3 + 11376*h**2 + 11360*h.
4*h*(h + 2)**2*(h + 710)
Suppose -729*a**4 + 449847*a**3 - 33319*a**2 + 617*a = 0. Calculate a.
0, 1/27, 617
Solve 21*o**5/4 - 1749*o**4/4 + 21123*o**3/2 - 60837*o**2 + 107502*o - 25992 = 0 for o.
2/7, 3, 4, 38
Suppose 110*p**5 - 12*p**4 - 784*p**3 + 288*p**2 + 1376*p - 960 = 0. Calculate p.
-2, 10/11, 6/5, 2
Suppose -41*h**2/6 - 15991*h/3 - 260 = 0. What is h?
-780, -2/41
Factor 5*p**2 - 39995*p - 160060.
5*(p - 8003)*(p + 4)
Let 129*c**3 - 436023*c**2 + 368447040*c - 8568300 = 0. Calculate c.
1/43, 1690
Find z such that -7*z**5/2 - 192*z**4 - 1929*z**3 + 2432*z**2 - 615*z/2 = 0.
-41, -15, 0, 1/7, 1
Factor -a**3/3 + 90*a**2 - 5396*a - 282296/3.
-(a - 142)**2*(a + 14)/3
Determine l so that -32*l**4/3 + 9136*l**3/3 - 31714*l**2/3 + 36710*l/3 - 4700 = 0.
1, 5/4, 282
Determine b, given that -16*b**4/3 - 3292*b**3/3 - 32168*b**2 + 124972*b/3 - 25160/3 = 0.
-170, -37, 1/4, 1
Solve -15*s**4/8 + 17547*s**3/4 - 3420495*s**2 + 888416100*s + 355914000 = 0 for s.
-2/5, 780
Suppose -2*w**4/7 - 7578*w**3/7 - 560850*w**2/7 - 13958750*w/7 - 116062500/7 = 0. Calculate w.
-3714, -25
What is y in y**4/2 - 108373*y**3 + 11745140613*y**2/2 - 23488980766*y + 23488547282 = 0?
2, 108371
Find w such that -3*w**2 - 489*w - 2826 = 0.
-157, -6
Let -549242481780*o**2 + 3314340*o - 5 = 0. What is o?
1/331434
Solve 42849*p**4 + 942885*p**3/2 - 79107*p**2 - 5770*p - 268/3 = 0 for p.
-67/6, -2/69, 2/9
Suppose -2*t**2 + 11558*t - 11556 = 0. What is t?
1, 5778
Let r**4/2 - 2197*r**3 + 4831201*r**2/2 - 4824612*r + 2411208 = 0. Calculate r.
1, 2196
Let -2*y**5/5 + 4162*y**4/5 - 442404*y**3 + 48028068*y**2/5 + 348343254*y/5 + 552715002/5 = 0. What is y?
-3, 29, 1029
Factor -v**2/3 + 1360672*v/3 - 462857072896/3.
-(v - 680336)**2/3
Factor 2*m**2 + 96200*m + 96198.
2*(m + 1)*(m + 48099)
What is a in -3*a**4/5 - 141*a**3/5 - 1701*a**2/5 - 2991*a/5 - 1428/5 = 0?
-28, -17, -1
Determine w so that 2*w**3 - 158*w**2 - 2*w + 158 = 0.
-1, 1, 79
Solve -2*n**4 + 354*n**3 - 19026*n**2 + 285670*n - 498036 = 0.
2, 21, 77
Factor 4*y**3 + 807*y**2 + 40602*y - 10201.
(y + 101)**2*(4*y - 1)
Suppose -3*t**2 - 180*t - 348 = 0. What is t?
-58, -2
Factor -5*a**3 + 21530*a**2 - 23327020*a + 322372120.
-5*(a - 2146)**2*(a - 14)
Factor z**2/4 + 71*z/4 - 2013.
(z - 61)*(z + 132)/4
Determine r, given that 605*r**4/7 + 697279*r**3/7 + 367480*r**2/7 - 9232*r/7 - 18432/7 = 0.
-1152, -4/11, 1/5
Let 3*n**3 + 1029477*n**2 + 2058945*n + 1029471 = 0. What is n?
-343157, -1
Determine m, given that -5*m**2 - 9725*m + 19470 = 0.
-1947, 2
Suppose -2*x**5 + 36*x**4 + 1778*x**3 + 4684*x**2 - 10176*x - 13120 = 0. What is x?
-20, -4, -1, 2, 41
Suppose 2*n**3/3 + 718160*n**2/3 + 2872616*n/3 + 957536 = 0. Calculate n.
-359076, -2
Let 3*v**4/4 + 861*v**3/4 + 8709*v**2 - 8925*v = 0. What is v?
-238, -50, 0, 1
Suppose 5*k**4 - 8225*k**3 + 73695*k**2 - 122575*k - 204500 = 0. What is k?
-1, 5, 1636
Suppose -4*i**2 + 1668*i - 24120 = 0. What is i?
15, 402
Find w, given that -132*w**4 - 545733*w**3/2 - 376072047*w**2/2 - 86413938351*w/2 - 14718724605/2 = 0.
-689, -15/88
Find h, given that -4*h**2 + 28740*h - 28736 = 0.
1, 7184
Solve -3*d**4/8 + 17535*d**3/4 - 17080551*d**2 + 88704983169*d/4 + 177546645819/8 = 0.
-1, 3897
Determine i so that -2*i**3 - 1162*i**2 - 5760*i = 0.
-576, -5, 0
Determine n, given that -n**2 + 2491*n + 22500 = 0.
-9, 2500
Determine a so that a**4 - 4*a**3 - 741*a**2 - 2884*a - 2852 = 0.
-23, -2, 31
Let 3*r**5 - 18276*r**4 + 27943713*r**3 - 332898240*r**2 + 304972800*r = 0. Calculate r.
0, 1, 11, 3040
Factor -3*x**2 - 281742*x + 281745.
-3*(x - 1)*(x + 93915)
Determine x, given that -1925*x**4 + 27770*x**3 + 50100*x**2 - 25960*x + 640 = 0.
-2, 2/77, 2/5, 16
Solve -79507*x**5/5 + 7967341*x**4/5 + 22902402*x**3/5 - 5025942*x**2/5 + 356049*x/5 - 8343/5 = 0 for x.
-3, 3/43, 103
Factor 306*w**2 + 217570*w/9 + 316/9.
2*(w + 79)*(1377*w + 2)/9
Find k such that -k**4/2 - 154*k**3 + 8213*k**2/2 - 18942*k - 97902 = 0.
-333, -3, 14
Find f, given that -4*f**2 + 584*f - 8772 = 0.
17, 129
Factor 2*s**4 - 268*s**3 + 11730*s**2 - 166464*s.
2*s*(s - 51)**2*(s - 32)
Determine f so that -2*f**3/9 + 32*f**2/3 + 34*f/3 - 196/9 = 0.
-2, 1, 49
Factor u**2 - 3542*u + 3136441.
(u - 1771)**2
Find g, given that -g**2 + 6289*g/3 + 1398 = 0.
-2/3, 2097
Suppose 3*j**5 + 18*j**4 - 1047*j**3 + 3678*j**2 + 18540*j + 13800 = 0. What is j?
-23, -2, -1, 10
Suppose 2*r**3 + 2180*r**2 - 6566*r - 8744 = 0. What is r?
-1093, -1, 4
Solve 676*s**5 - 14490528*s**4 + 77651395552*s**3 + 23893766016*s**2 + 1838008384*s = 0.
-2/13, 0, 10718
Factor -u**2/2 - 12232*u - 74810912.
-(u + 12232)**2/2
Factor -j**3/7 - 32463*j**2/7 - 37639689*j - 263445361/7.
-(j + 1)*(j + 16231)**2/7
Factor -4*f**5 - 3288*f**4 - 263520*f**3.
-4*f**3*(f + 90)*(f + 732)
Factor r**2/2 + 157*r/2 + 1065.
(r + 15)*(r + 142)/2
Solve 9*m**5 - 1932*m**4 + 131505*m**3 - 2793870*m**2 + 4383456*m - 1719168 = 0.
2/3, 1, 37, 88
Factor h**3 + 2514*h**2 - 216468*h + 4582872.
(h - 42)**2*(h + 2598)
Factor -2*w**3/15 - 2406*w**2/5 - 14428*w/15.
-2*w*(w + 2)*(w + 3607)/15
Find w such that -5*w**3 + 1720*w**2 - 21445*w - 23170 = 0.
-1, 14, 331
Find b, given that 3*b**2 + 187185*b + 561528 = 0.
-62392, -3
Suppose -k**2 + 27529*k + 27530 = 0. What is k?
-1, 27530
What is n in -8*n**3 - 9876*n**2 + 104624*n + 54780 = 0?
-1245, -1/2, 11
Factor 3*z**3 - 5409*z**2 + 32373*z - 48519.
3*(z - 1797)*(z - 3)**2
Factor -s**3/4 - 257*s**2/4 + 617*s/4 + 25641/4.
-(s - 11)*(s + 9)*(s + 259)/4
Factor 3*k**3/8 - 171*k**2/4 + 8529*k/8 - 4095/4.
3*(k - 78)*(k - 35)*(k - 1)/8
Determine f, given that -4*f**4 - 1484*f**3 + 9112*f**2 + 24128*f = 0.
-377, -2, 0, 8
Factor -118*x**3 + 1412*x**2 + 5358*x + 180.
-2*(x - 15)*(x + 3)*(59*x + 2)
Solve -3*v**5 - 56*v**4 - 296*v**3 - 366*v**2 - 53*v + 70 = 0.
-10, -7, -1, 1/3
Factor 3*f**3/8 + 329229*f**2/8 - 658467*f/8 + 329235/8.
3*(f - 1)**2*(f + 109745)/8
Factor n**2/8 - 118957*n/4 + 14150767849/8.
(n - 118957)**2/8
Determine p, given that 4*p**3/19 - 9442*p**2/19 - 4724*p/19 + 4722/19 = 0.
-1, 1/2, 2361
Determine q so that -q**3/7 + 569*q**2/7 + 1744*q/7 - 2288 = 0.
-7, 4, 572
Determine w, given that 2*w**5/15 + 740*w**4/3 + 1714942*w**3/15 + 3411404*w**2/15 - 571648*w/5 - 1138368/5 = 0.
-924, -2, -1, 1
Determine h, given that 7*h**4/6 + 79*h**3 - 2073*h**2/2 + 869*h/3 = 0.
-79, 0, 2/7, 11
Find c, given that c**4/6 + 61*c**3/6 - 63*c**2/2 + 191*c/6 - 32/3 = 0.
-64, 1
Factor 393*u**2 + 69948*u - 1068.
3*(u + 178)*(131*u - 2)
Solve 5*z**2 + 2815*z - 197190 = 0.
-626, 63
Solve -20*d**3 - 65528*d**2 - 53687088*d - 21464352 = 0 for d.
-1638, -2/5
Suppose -55*y**5 - 1260*y**4 - 10240*y**3 - 34560*y**2 - 40960*y = 0. What is y?
-8, -4, -32/11, 0
Factor -v**2/2 - 440879*v + 881759/2.
-(v - 1)*(v + 881759)/2
Let -k**5 - 5*k**4 + 677*k**3 + 4105*k**2 - 62776*k + 144400 = 0. What is k?
-19, 4, 25
Factor -2*l**4 + 128*l**3 + 2088*l**2 + 7488*l.
-2*l*(l - 78)*(l + 6)*(l + 8)
Factor -v**3/3 + 2079*v**2 - 3242720*v + 9721924/3.
-(v - 3118)**2*(v - 1)/3
Solve 106*x**5 + 1697*x**4/4 - 529*x**3 - 5*x**2/4 = 0.
-5, -1/424, 0, 1
Factor 3*r**3/5 - 156*r**2/5 - 1017*r/5 - 1566/5.
3*(r - 58)*(r + 3)**2/5
Find w such that 2*w**3 + 302*w**2/5 - 9292*w/5 + 6080 = 0.
-50, 19/5, 16
Determine a, given that -a**2/3 - 15800*a/3 - 10532 = 0.
-15798, -2
Factor -4*f**2/3 + 35712*f - 239127552.
-4*(f - 13392)**2/3
Factor k**2/3 + 1832*k/3 + 138487/3.
(k + 79)*(k + 1753)/3
Find l such that 81*l**4/5 + 1767942*l**3/5 + 9647364829*l**2/5 + 4287455788*l/5 + 476374276/5 = 0.
-10913, -2/9
Factor 4*i**2 + 264488*i + 793428.
4*(i + 3)*(i + 66119)
Factor 4*m**3 - 75852*m**2 - 151752*m + 606880.
4*(m - 18965)*(m - 2)*(m + 4)
Factor 3*t**2 - 2355*t + 2352.
3*(t - 784)*(t - 1)
Find f such that 2*f**4/9 - 710*f**3/9 - 7526*f**2/9 + 82694*f/9 - 24820/3 = 0.
-17, 1, 6, 365
Factor 14*h**3/3 - 188308*h**2 + 1899610752*h + 1628283904/3.
2*(h - 20176)**2*(7*h + 2)/3
Determine y so that -5*y**3 - 765*y**2 + 4805*y + 5565 = 0.
-159, -1, 7
What is c in 5*c**4 - 17170*c**3 - 379955*c**2 - 708380*c - 345600 = 0?
-20, -1, 3456
Determine m so
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 10*f**3.
356*f**3
Expand (-k - 3 + 3)*(3*k - 6*k + 2*k) - 867*k**2 + 887 + 4306*k**2 - 887.
3440*k**2
Expand (476*v**2 - 180*v**2 + 49*v**2)*(5*v**2 - 3*v**2 + 8*v**2).
3450*v**4
Expand (1 - y - 1)*(2 - 3 + 0)*(2587 + 474 - 1050).
2011*y
Expand (-r**5 + 4*r**5 - 2*r**5)*(3 - 2 - 3) - 4*r**3 - 5*r**5 + 4*r**3 - 626*r**2 - 25*r**5 + 626*r**2 - 2*r**3.
-32*r**5 - 2*r**3
Expand (-4*o + 0*o + 5*o)*(0*o + 0*o + 2*o**2) + 0*o**3 + o**3 + 0*o**3 - 1 + o**3 + 1 + 4*o**2 + 97*o**3 + 38589076*o - 38589076*o - 7.
101*o**3 + 4*o**2 - 7
Expand (1 + 0 + 1 + (-2 + 1 + 0)*(2 - 3 + 2) - 3 + 2 + 0 + 0 - 2 + 5)*(2*g**2 - 3 + 3)*(16*g - 35*g + 18*g).
-6*g**3
Expand (-21*w**4 + 7*w**4 + 2*w**4)*(-12 - 6*w + 12) + w**5 - 3*w**5 + 0*w**5 + 3 - 1 + 4 + 5*w**3 + 2*w**5.
72*w**5 + 5*w**3 + 6
Expand (12 - 13 + 42)*(-2*s + s + 0*s)*(0*s - 6*s + 3*s).
123*s**2
Expand (f**5 - 9*f**5 - f**5)*(-6 - 7 + 1) + (-6 + 8 + 0)*(4*f**5 - 2*f**5 + 0*f**5).
112*f**5
Expand (-4 + 0 + 1)*(-7 + 2*z - 119 - 1).
-6*z + 381
Expand (-24*p**2 - 2*p + 7*p + 11*p**2)*(3 + p + 4 + 3).
-13*p**3 - 125*p**2 + 50*p
Expand 1022*p**4 - 534*p**4 + 664*p**4 + (p**4 + 0*p**4 - 2*p**4)*(1 + 2 - 1).
1150*p**4
Expand (-2*c + 6*c - 2*c)*(10 - 10 + c**2 + c)*(2 - 2 + 1)*(352 + 169 - 342).
358*c**3 + 358*c**2
Expand (-2 + 2 + b)*((2*b**3 - b**2 + b**2)*(1 + 0 + 1) + 776*b**3 + 1810*b**3 - 1097*b**3) + (-2*b**2 + 2*b**2 - b**3)*(-4*b - 2*b + 2*b).
1497*b**4
Expand (-1842 + 1842 + 805*r)*(4*r**3 - 5*r**3 - 7*r**3).
-6440*r**4
Expand (2*z + 4*z + 0*z)*(12 - 2 - 2)*(-z + z - z)*(1941 - 1941 - 75*z**2).
3600*z**4
Expand 121*f - 46*f - 39 - 71*f + (2*f - 5*f + 2*f)*(1 - 1 + 1) + 0*f - 2*f + f.
2*f - 39
Expand ((-2 - a + 2)*(2*a + 3*a - 3*a) + 84*a**2 + 2039*a - 2039*a)*(-a + a - 29*a**3).
-2378*a**5
Expand (-538 - 60 - 106)*(s**2 + 3*s - 3*s).
-704*s**2
Expand (-546 + 184 + 181 - 242*f + 184)*((4 - 2 - 1)*(5*f**3 + 2*f**4 - 5*f**3) + 4*f**4 + f**2 - f**2).
-1452*f**5 + 18*f**4
Expand (20 + 20 - 15)*(2*v - 5*v + v) - v + 2*v - 2*v + 5*v + 2*v - 4*v + (1 + 3 - 3)*(v + 4 - 4) - 2*v - v + 6*v.
-44*v
Expand (13979 + 252*k**4 - 13979 + 0*k + 0*k - 2*k**4 - 1 - k**4 + 1 + (3*k - 3*k - 2*k)*(-k**3 - k**3 + 3*k**3))*(3 - 4 + 2).
247*k**4
Expand -2*p + 3 - 3 + (-1 + 25 + 34)*(-p - 5*p + 2*p)*(1 - 4 + 2)*(-3 + 1 - 1).
-698*p
Expand (8*z + 50 - 50)*(-4*z - 2*z + 4*z + (2 + 3 - 3)*(407 + 61*z - 407)).
960*z**2
Expand (-7*t**2 + 3*t**2 - 6*t**2)*(0*t + t + 0*t) - 122*t**3 + 145*t**3 - 147*t**3.
-134*t**3
Expand (-2*v - 3*v + 3*v)*(-2*v**4 + 0 + 0) - 41*v**5 - 12*v + 44*v**5 + 37*v.
7*v**5 + 25*v
Expand -7*k**5 + 2*k**5 + k**5 - 249*k**4 + 249*k**4 - 27*k**5 + k**2 + 2*k**5 - k**2 + (3 + k - 3)*(k**4 - 1 + 1).
-28*k**5
Expand (136 - 325*p + 328*p + 563)*(2 + 1 - 1).
6*p + 1398
Expand -1 + 2*k**3 + 1 + (-3*k - 4*k - 3*k)*(1 - 5*k**2 - 1) + 2 - 12*k - 22*k**3 + 12*k.
30*k**3 + 2
Expand (2441*t - 928*t - 557*t)*(0*t**2 + t**2 + t**2)*(-3*t**2 + 2*t**2 - 2*t**2).
-5736*t**5
Expand 10*k**3 - 27*k**3 - 3*k**3 + (16 - 18 - 25)*(-4*k**3 + 4*k**3 + k**3).
-47*k**3
Expand 21 - 21 - 3*d**3 + d**2 + d**3 - d**2 + (-4*d - 3*d + 3*d)*(-d**2 + 2*d**2 - 3*d**2).
6*d**3
Expand (-1 - o**2 + 5 + 0*o**2 + (-3*o**2 - 2*o**2 + 3*o**2)*(2 + 0 + 0))*(o - o + 2*o + (5*o + 23 - 23)*(-2 - 2 + 5)).
-35*o**3 + 28*o
Expand (-2 + 2 - 2*m)*((1 + m**3 - 1)*(55*m - 112*m + 48*m) + (-2*m**3 - 5*m + 5*m)*(m + 0*m + 0*m)).
22*m**5
Expand -5*m + 3*m + 3*m + (-m - 2*m + 0*m)*(0 - 2 + 3) + 443 + 399 + 50 - 143 - m.
-3*m + 749
Expand (179 + 73 + 53)*(-3*m**2 + 6*m + 4*m**2 - 25*m).
305*m**2 - 5795*m
Expand (3 + 3*p**2 - 3 + (5*p - 4*p - 2*p)*(35*p + 27*p + 46*p) - 2*p**2 + 0*p**2 + 4*p**2)*(5*p + 2*p - 5*p).
-206*p**3
Expand 4*u - 5*u - 2*u + (1 - 2 - 2)*(2*u + 4 - 4) + (3 - 3 - 4)*(-3*u + 4*u - 4*u)*(-6 + 4 - 1).
-45*u
Expand 273*k - 277*k + 589*k + (6 - 2 + 2)*(2*k + 0*k - 5*k - 4*k).
543*k
Expand (3 + 1385*s - 990*s - 2)*(0 + 1 + 1).
790*s + 2
Expand 7*m**2 - 7*m**2 + 10*m**3 - 12*m**3 - 5*m**3 - 15*m**3 + (m**3 - m**3 - m**3)*(0 - 3 + 2) + 2*m**3 - m**3 - 3*m**3 - 2*m**3 - m**3 + m**3.
-25*m**3
Expand (1 + 1 - 4)*(-56 - 76 - 53 + (-3 + 2 + 0)*(14 + 4 + 2))*((-4 - 1 + 4)*(1 + 2 - 2) + 3 - 3 + 2)*(-2 + 1 + 3)*(r + 3*r - 6*r).
-1640*r
Expand -127*x**2 + 43*x**2 - 210*x**2 + (2*x + 0*x - x)*(0*x - x - x).
-296*x**2
Expand -2 - 221*j**5 + 208*j**5 + 163*j**5 + (-2*j**2 + 2*j**2 + 2*j**4)*(j - 4*j + 2*j) + j**5 + 3*j**5 - 6*j**5 - 2*j**5 + 0*j + 0*j.
144*j**5 - 2
Expand (-5*v + 3*v + 0*v)*(-3 + 0 + 1) - 592*v + 302*v + 283*v + 42.
-3*v + 42
Expand 2*q + 2*q**2 - 2*q + (5 - 5 + 5*q)*(-2 + 2*q + 2) + 9*q**2 + 0*q**2 - 2*q**2 - 4*q**2 + 4*q**2 + 12*q**2.
31*q**2
Expand 1409*a**5 - 322*a**5 + 262*a**5 + (-3*a**3 - a**3 + 5*a**3)*(2*a**2 + 1 - 1).
1351*a**5
Expand (799*f**2 - 367*f**2 - 23*f - 334*f**2)*(2*f - 2*f**2 - 2*f).
-196*f**4 + 46*f**3
Expand (3*d - 3*d - 4*d)*(2055 + 61 - 8082 + 481 + 1715).
15080*d
Expand (-3*x - x**2 + 4*x + 2 + 0*x)*(-955*x - 222*x - 24*x)*(5 - 3 + 0).
2402*x**3 - 2402*x**2 - 4804*x
Expand (-1428*c**2 - 1041716*c + 1041716*c - 2258*c**2)*(-c + 2*c + 0*c).
-3686*c**3
Expand (-m**2 + 0*m + 0*m)*(-10964 + 12758 + 20536).
-22330*m**2
Expand 0*o + 0*o - 2*o + 5*o + o - 3*o - 2*o + 4*o - 3*o + o - 2 + 2 + (-6 + 0 + 4)*(0*o + 2*o + 0*o) + (-1 + 1 + 2*o)*(1 - 1 - 1) + (3*o - o - o)*(8 + 2 + 0).
5*o
Expand (-21*a + 49*a - 5*a**2 - 21*a + 2)*(8*a - 4*a - 18*a).
70*a**3 - 98*a**2 - 28*a
Expand (u - 10 + 10)*(4 - 5 + 2)*(2 - 5 + 12)*(0*u - 2*u + 7*u).
45*u**2
Expand -2*m**4 + 28*m**2 - 28*m**2 + (m**4 - 5*m**4 + 5*m**4)*(-77 + 44 - 25).
-60*m**4
Expand (3*t**4 - 2*t**4 - 2*t**4)*(1691*t + 8817 - 8817) - t**5 - t**5 + 0*t**5.
-1693*t**5
Expand b**2 - b**2 + 2*b**4 + (-2 + 2*b**2 + 2)*((b + 0 + 0)*(-1 + 2 - 3)*(-b - 3*b + b) + 17*b**2 + 12*b**2 - 23*b**2).
26*b**4
Expand (-1 - 3 + 3)*(7070*l - 3534*l - 22 - 3551*l) + 2*l - 3*l - l.
13*l + 22
Expand (-2 + 3 + 1)*(-2*l - 1 + 1) + (-3 - 1 - 2)*(-4*l + 0*l - l) + (-4*l + l + l)*(-1 + 4 + 0) - 4*l + 3*l + 3*l.
22*l
Expand -1283*o**4 + 342*o**4 - 594*o**4 + (3*o**4 + 0*o**4 - 2*o**4)*(0 + 3 - 5).
-1537*o**4
Expand 2*m - m + 2*m + (4 - 4 - 1)*(117*m + 75*m - 92*m).
-97*m
Expand (-155*g + 13*g - 84*g)*(0*g + g + 0*g)*(g**3 + 3*g**2 - 3*g**2).
-226*g**5
Expand 26*b**3 - b**3 + 4*b**3 + 6 - b**3 - 6 + (26 - 26 + b)*(-8*b + 7 - 7)*(-2*b - 1 + 1).
44*b**3
Expand (-287*g**2 + 126*g**2 - 316*g**2)*(4 + 6 - 11).
477*g**2
Expand (-2 + 3*n**3 + 2)*(-491*n + 573*n - 1856*n).
-5322*n**4
Expand (0*q - 5*q - 13*q)*(q - 17 + 24 - 15).
-18*q**2 + 144*q
Expand 2*z**3 + 2*z**3 - 3*z**3 + 3*z - 3*z - z**3 + (-2*z**2 + 0 + 0)*(-z + 0*z + 2*z) + (-2*z - 1 + 3*z + 0*z)*(6 - 2 + 2)*(26*z**2 - 44*z**2 - 25*z**2).
-260*z**3 + 258*z**2
Expand (-873*s + 141*s - 167*s + 342*s - 1746*s)*(-2*s**3 + s**3 + 0*s**3).
2303*s**4
Expand -16*s**2 + 0*s**2 + 4*s**2 + (-1 + 1 + s)*(0*s + 0*s - s) - 279*s + 135*s + 140*s - 118*s**2.
-131*s**2 - 4*s
Expand (-2*z**3 + 3*z**3 - 3*z**3)*(264*z**2 - 177*z**2 - 264*z**2) + 7*z**5 + 10 - 10.
361*z**5
Expand ((-3 + 4 + 1)*(-5*v - 10*v - 12*v) + 1 + 5*v - 2*v + 0*v)*(2 - 4 + 1)*(-4 + 3 + 2)*(3*v - 2 + 2).
153*v**2 - 3*v
Expand -3*v**2 + 2*v**4 - 5*v**5 - 4*v**4 + 3*v**5 + (-7*v + 7*v - 12*v)*(-21*v**4 - 34*v**4 + 15*v**4).
478*v**5 - 2*v**4 - 3*v**2
Expand (-88 + 65*n**2 + 88)*(3 - 14 + 21).
650*n**2
Expand -v**2 + 2*v**2 + v**2 + (v - 4*v - v)*(-14*v - 15*v + 5*v).
98*v**2
Expand (-27 + 27 - 4*g + (49 + 9 - 18)*(-7*g + 5*g + g))*(-4*g**2 + 3*g**2 + 2*g**2).
-44*g**3
Expand (-3*c**4 + 2*c**4 - c**4)*(6 - 4 + 1) - 121*c**4 - c**4 + 13*c**4.
-115*c**4
Expand (c + 0*c - 2*c)*(0 + 2 - 3 + (-2 + 4 - 1)*(2 - 3 - 1) - 2 + 0 + 4 + 2 - 3 - 1)*(-110*c**2 - 5731*c + 5731*c).
-330*c**3
Expand n**2 - 3*n**2 + 3*n**2 + (2 - 2 - 2*n**2)*(2 + 1 - 2) - n + n + 2*n**2 - 4 + 3*n**2 + 4 - 696*n**2 - 626*n**2 + 1328*n**2 + 62.
10*n**2 + 62
Expand (q - q - q**2)*(0 - 2*q + 0) + q**3 + 2*q**2 - 2*q**2 + 6 - 5 + 3211*q**3 - 10546*q**3.
-7332*q**3 + 1
Expand -m**3 + 2*m**3 + 0*m**3 + (m**2 + 4*m - 4*m)*(5*m - 2*m - 2*m) + 8 - 4 + 2*m + 4*m**3 + 9 + (3 + 3*m - 3)*(17 - 4*m**2 - 17).
-6*m**3 + 2*m + 13
Expand (31*k - 152 + 154 - 4*k + (-4 + 1 - 6)*(-4*k + 2*k + 3*k))*(0 - 1 + 4).
54*k + 6
Expand (0 - 1 + 3)*(-2 + f + 2)*(-26*f**2 - 572
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - 915*o - 7 in the form z + y*o and give y.
-1965
Express (-4*u + 5*u + u + (-1 + 0 + 3)*(-2*u + 3*u + u) + 3*u - 3*u + 2*u)*(2 + 2 - 5) - u + 3 - 3 in the form x + i*u and give i.
-9
Rearrange (-2*t - 3*t + t)*(0 + 1 + 6) + 9 - 9 + 2*t to q*t + g and give q.
-26
Express -97*s + 158*s - 393*s - 455*s + 144*s in the form y*s + i and give i.
0
Rearrange -2 + 16*j - 2*j + 2*j**4 + 19*j**3 - 15*j + 14*j**3 to the form k*j + y*j**3 + c*j**2 + r*j**4 + n and give k.
-1
Express (d**2 - d**2 - 11*d**2)*(2*d**2 - 599*d + 599*d + 10) as h + z*d**4 + k*d**3 + s*d**2 + f*d and give s.
-110
Rearrange ((1 - 2*h - 1)*(1 - 2 + 3) + 2*h - 2*h + 5*h)*(0*h**2 + 33*h**2 + 64*h**2) to the form x*h + q*h**3 + n*h**2 + i and give q.
97
Rearrange (-4*r**3 + r**3 + 2*r**3)*(-3*r + 3*r + r)*(-3 - 2 - 3) - 5*r - r**4 + 5*r to the form s + g*r**4 + l*r**3 + f*r + q*r**2 and give g.
7
Rearrange (2 - 2 + 14*d)*(10 - 23 + 14)*(-4*d + 4*d - d)*(-3 + 4 + 1) to the form y + c*d + h*d**2 and give h.
-28
Rearrange -2*j + 4*j - 31 + 27 to the form u*j + i and give i.
-4
Express 2*l**4 - 1 + 1 + (243*l - 55*l**2 - 243*l)*(1 - 1 - l**2) + (2*l**3 + 5*l**2 - 5*l**2)*(-l + l + l) as q*l + v + s*l**4 + k*l**2 + b*l**3 and give k.
0
Express (120*c + 263*c - 525*c)*(2 - 1 + 1 + (1 + 4 - 3)*(-1 - 1 + 0) + (0 + 2 - 1)*(4 - 4 - 1)) in the form y*c + b and give y.
426
Rearrange (-2*h + 2*h - h)*(-5*h**3 + 5*h**3 - 2*h**3) + (2*h**3 + 4*h**3 - 3*h**3)*(-3*h + h + 3*h) to the form y + z*h**2 + i*h**4 + x*h**3 + t*h and give i.
5
Rearrange 18*h + 3*h**4 + 19*h - 1 - 3*h - 6*h - 3*h**2 to the form t*h**4 + n*h**2 + k*h**3 + j + s*h and give s.
28
Express -3*t + t + t + (2 - 5 + 2)*(-t + 4*t - t) + t - 3*t + 4*t - 5*t - 3*t + 4*t + 3 + 2*t - 3 + (4*t - 3*t + 0*t)*(1 - 4 + 7) as b + m*t and give b.
0
Rearrange -17*m + 90*m**2 - 89*m**2 - 36 + 16*m to x*m + i*m**2 + a and give x.
-1
Express -5*o**3 + 4*o + 110*o**2 + 4*o**4 + 2 + 8*o**3 + 2 - 110*o**2 in the form s*o**3 + f + q*o**2 + v*o + w*o**4 and give v.
4
Express 320*h - 161*h - 982*h + (-h + 3*h - 4*h)*(2 + 3 - 4) in the form j + q*h and give q.
-825
Express 4*t - 5 + 18 + 3 in the form o + m*t and give o.
16
Rearrange 14*q**2 + 0*q**4 + 12*q**3 - 1 + 2*q**4 - 5*q**3 - 8*q**3 to x + w*q**2 + i*q + o*q**4 + f*q**3 and give o.
2
Rearrange (-l**2 - 2*l**2 + 4*l**2)*(61 + 73 + 10 + 119) to the form x + a*l**2 + u*l and give a.
263
Rearrange -2153*o - 4*o**3 + 2154*o + 3*o**3 - 26*o**2 + 4 to the form s + c*o**2 + q*o + r*o**3 and give s.
4
Express (-357 - 3249 - 377)*(3*v + 2*v - 4*v)*(0*v + 3*v - 4*v) as o*v**2 + w*v + a and give o.
3983
Express -262*l**2 - 426*l**2 + 27 - 27 + 101*l**2 as f + w*l + s*l**2 and give s.
-587
Rearrange -25141*j + 49198*j - 24740*j to h*j + q and give h.
-683
Rearrange (3*s**3 + 3*s**3 - 5*s**3)*(-8 + 38*s - 4 - 96*s) to f*s + q + g*s**2 + m*s**4 + j*s**3 and give j.
-12
Rearrange -30*y - 25*y - 221*y**2 + 55*y to the form m*y**2 + b*y + s and give b.
0
Rearrange c**3 + 48933 - 2*c + 5*c**4 - 4*c**4 - 3*c**4 - 48915 - c**2 to the form m + s*c**3 + b*c**4 + l*c + q*c**2 and give q.
-1
Rearrange -5 - 361*b + 5 - 10*b to the form m*b + r and give m.
-371
Rearrange ((1 - 3 + 6)*(2*w + 3*w - 7*w) + 3*w - 2*w - 3*w)*(-w**2 + 6*w**2 - 3*w**2) to o + q*w**2 + r*w + t*w**3 and give t.
-20
Express (-2*v + 238*v**2 + 8 + 192*v**2 - 422*v**2)*(0*v**2 + 6*v**2 - 5*v**2)*(-5 + 0 + 4) as c*v**3 + u*v**2 + x*v**4 + y + t*v and give u.
-8
Rearrange 96*r + 5 + 4 - 13 + 3 to the form q + w*r and give q.
-1
Express 1058 - j - 55*j**3 + 2*j**2 - 1058 as f + h*j + x*j**3 + i*j**2 and give h.
-1
Rearrange (-25*y + 19*y + 22*y)*(-14*y + 9*y**2 + 14*y) + 2*y**3 + 0*y + 0*y to the form o*y**2 + j + z*y + a*y**3 and give a.
146
Express (196*c - 353*c + 1165*c**2 + 157*c)*(-6 + 1 - 1) in the form q*c + z + i*c**2 and give i.
-6990
Rearrange 1 - 2*r**4 + 0 - 163*r**3 + 166*r**3 - 2*r**4 to the form o*r**3 + w*r**4 + b*r + j*r**2 + h and give o.
3
Express 28741 + 11*v - 28746 + 0*v**3 + 3*v**3 in the form t + b*v**3 + f*v**2 + q*v and give f.
0
Rearrange (-20510 + 20510 - 89*d)*(-3 + 3 - 4*d**2) to r + o*d**2 + t*d**3 + c*d and give t.
356
Rearrange (-1 + 3 - 4)*(25059*h - 12452*h - 12522*h) to x + l*h and give l.
-170
Rearrange -110 - 2*f + 7*f**2 + 11*f**2 - 25*f**2 - 96 + 6*f**2 to a + s*f**2 + o*f and give a.
-206
Rearrange (36 - 3 + 45)*(-2*t - t - t)*(2 + 1 - 1) to the form x + m*t and give m.
-624
Rearrange 5*c - 38 - 10*c + 19*c - 3*c to the form r*c + o and give o.
-38
Express -23 + 23 - 169*t + 248*t as g*t + u and give g.
79
Rearrange (n + n + 0*n)*(-3*n**2 - 3*n**2 + 4*n**2) - 32*n - 42*n**3 - 87*n**3 - 2*n**2 + 123*n**3 to v*n**3 + x + r*n + w*n**2 and give r.
-32
Express (2*d - 4*d + d)*(4*d + 0*d + 2*d) + 39*d**2 + 244*d**2 + 125*d**2 in the form v*d + f*d**2 + k and give f.
402
Express -l**2 - 2*l + l**3 + 73 - 134*l**4 + 0*l + 133*l**4 in the form w*l**3 + x*l**4 + s + j*l**2 + r*l and give r.
-2
Rearrange 0*m**2 - 80*m**2 - 1 - 4*m - 16*m**2 + m**3 + 5*m to the form j*m**3 + b + r*m + p*m**2 and give p.
-96
Express q**4 - 6*q**3 + 29*q**3 - 13*q**2 + 33*q**2 + 2 - 11*q**2 - 5*q**2 as r*q**4 + y + f*q + c*q**3 + t*q**2 and give c.
23
Express (s**2 + 2 - 2)*(s + s - s)*(5066 + 482*s - 5066) - s**4 - 4*s**4 + 4*s**4 in the form t*s + q*s**3 + p + k*s**4 + n*s**2 and give k.
481
Rearrange -31 + l**3 - 9*l**3 - 7*l**3 - 29 + 54 to the form p*l + u*l**2 + z + g*l**3 and give z.
-6
Express (-642*a + 2991*a + 594*a + 587*a)*(3*a**2 - 3*a**2 + a**2) in the form b*a**3 + p*a + w*a**2 + q and give w.
0
Express -x - 166*x**3 + 6 + 3*x + 167*x**3 in the form j + m*x**2 + c*x**3 + p*x and give j.
6
Rearrange 10*k**2 - k + 1 - 7*k - 38*k**2 + 7*k to the form o*k + f*k**2 + l and give o.
-1
Rearrange -3*w - 6 + 6*w + 1 + (-4 - 4 + 5)*(-2 + 2 + 2*w) - w + 2*w - 3*w + w + w - w + (5*w - 2*w - 2*w)*(-3 + 2 + 2) to the form i + u*w and give u.
-3
Rearrange 11 - g - 198 - 353 to the form s + n*g and give s.
-540
Express (112*w + 126*w + 69*w)*(-2*w + 3*w - 4*w) as p*w**2 + o*w + y and give p.
-921
Rearrange 4*p - 2*p - 4*p + (-3*p + 5*p + 2*p)*(-5 + 1 - 1) - p - p - p to x*p + d and give x.
-25
Express 0 + 15 - 5*r**2 - 6*r**2 + 13*r**2 as g + i*r**2 + f*r and give g.
15
Rearrange 12*o - 3*o**2 - 13*o + 6*o**2 to q*o + y + x*o**2 and give y.
0
Rearrange 2*z**2 + 3*z**3 - 6*z**2 - 155 + 4*z**2 - 2*z**4 - 9*z + 156 to y + x*z**3 + i*z + c*z**2 + p*z**4 and give p.
-2
Rearrange -6032*i**3 + 2*i**2 + 6036*i**3 - 2 - i**2 + 4*i**4 to h + m*i**3 + b*i**2 + f*i + w*i**4 and give h.
-2
Express -27*w**2 - 39158*w + 39154*w + 113*w**2 + 63*w**2 as p*w + y*w**2 + u and give y.
149
Rearrange 91 - 302*y + 306*y - 31 to o + f*y and give o.
60
Express (1 + 1 - 1)*(-22 - 12 - 8)*(-4*g + 2*g + 5*g)*(-5*g + 5*g + 2*g) in the form k*g**2 + t*g + z and give k.
-252
Express 333*t**3 - 192622 - 1124*t**3 + 192624 as o + z*t**2 + g*t + v*t**3 and give v.
-791
Rearrange -1 - 3*o + 6*o + 6 + 18*o to the form h*o + i and give i.
5
Rearrange (-1249*y + 2448*y - 728*y)*(3 - 3 - 5*y) to t*y + o + d*y**2 and give d.
-2355
Rearrange (-4*m - 2*m - 2*m)*(29 - 17 + 10) to t + c*m and give c.
-176
Rearrange -44*n**3 - 303 + 4*n + 324 + 46*n**3 to w*n**2 + u + j*n + s*n**3 and give j.
4
Rearrange (-2*n**3 - 12*n**3 - 7*n**3)*(-1 - 2 + 2)*(-27 - 5*n + 27) to p*n**4 + i + w*n**2 + d*n + s*n**3 and give p.
-105
Rearrange -4*s**4 + 4*s**4 - 2 - 3*s - 4*s**3 + s**2 - 18*s**4 + 17*s**4 + 6*s**3 to the form r*s**3 + o*s + c*s**4 + v*s**2 + f and give r.
2
Express (-9 + 9 + 8)*(186*x**2 + 48*x**4 - 186*x**2) as l*x**3 + q*x**2 + a*x**4 + b + m*x and give a.
384
Express -2631*k + 2631*k + 228*k**2 + 2 as c*k + w*k**2 + a and give a.
2
Express (-4*n**2 + n**2 - 5*n**2)*(21*n - 34*n - 26*n) as g + d*n + u*n**2 + z*n**3 and give z.
312
Express 248 - 13*d - 3*d - 494 + 239 in the form p + r*d and give p.
-7
Rearrange (z**4 - 5*z**2 + 5*z**2)*(5 - 2 - 5) - 7*z**4 - 2*z**4 - 3*z**4 - 2*z**4 - 2*z**4 + 2*z**4 to the form l*z**2 + k*z**3 + v*z + g*z**4 + q and give g.
-16
Express (-53 - 55 + 110 + 220*d)*(0*d**3 - 3*d**3 + 2*d**3) as g*d**4 + c*d**2 + m*d + s*d**3 + n and give g.
-220
Rearrange -8*o**3 - 3*o**3 - 6*o**3 + (-4 - 5*o + 4)*(1 + 1 + 0)*(3*o - 2*o - 2*o)*(-6 + 4 - 5)*(-5*o + 5*o
|
{
"pile_set_name": "DM Mathematics"
}
|
) be the third derivative of o**5/30 - 2*o**2. Give x(h(l)).
-2*l**2
Let s(o) = 4*o**2. Let f(n) = 36*n**2. Let b(d) = -7*d**2. Let u be 7/((-28)/(-8)) - -2. Let j(v) = u*f(v) + 21*b(v). Determine j(s(m)).
-48*m**4
Let u(l) = 29*l. Let t(o) = 2*o. What is t(u(k))?
58*k
Let t(s) be the third derivative of s**5/60 - s**4/4 - s**3 - 5*s**2. Let d(b) = -b - 1. Let g(x) = -6*d(x) + t(x). Let i(a) = -3*a. What is g(i(u))?
9*u**2
Suppose j + 3*x = 3*j - 19, -5*x = 4*j - 5. Let s(r) = 3*r**2 + 2*r - 2*r - j*r**2. Let i(u) = 2*u**2. Determine s(i(d)).
-8*d**4
Let j(g) = -25*g**2. Let r(p) = -263*p**2. Determine j(r(a)).
-1729225*a**4
Let f(h) = -2*h**2. Let m(j) = -2*j**2 + 3*j. Let q(x) = 11*x**2 - 17*x. Let d(r) = 34*m(r) + 6*q(r). Give d(f(c)).
-8*c**4
Let t be (0 + (-3)/6)*0. Let o(c) = 3*c - c + t*c - 4*c. Let y(k) be the second derivative of -2*k**3/3 - k. Determine y(o(i)).
8*i
Let g(p) = 9*p + 3 - 6*p - 3. Let i(y) = 2*y + 8. Let r(z) = -z - 3. Let h(u) = 3*i(u) + 8*r(u). Calculate h(g(m)).
-6*m
Let t(l) = -3*l. Let s(h) = -26*h**2 - 18. Determine t(s(q)).
78*q**2 + 54
Let r(h) = -13*h**2. Let c(g) be the third derivative of g**5/20 + 27*g**2. Determine r(c(z)).
-117*z**4
Let h(m) = 2*m**2 - 3*m + 6. Let c(w) = -w**2 + w - 2. Let u(v) = -6*c(v) - 2*h(v). Let j(f) = 9*f. Determine u(j(n)).
162*n**2
Let g(w) = 3*w**2 + 3*w. Let d(t) = -3*t**2. Calculate d(g(q)).
-27*q**4 - 54*q**3 - 27*q**2
Let u(c) be the second derivative of c**5/60 + 5*c**3/6 - 4*c. Let d(h) be the second derivative of u(h). Let l(q) = -2*q**2. Give l(d(a)).
-8*a**2
Let d(b) = -b + 1. Let f(m) = -2*m - 2. Let g(j) = 2*d(j) + f(j). Let n be 248/32 - 2/(-8). Let c(z) = -8*z - 2*z**2 + n*z. Give c(g(l)).
-32*l**2
Let p(k) = -30*k**2 - 2. Let n(f) = -6*f. Determine p(n(s)).
-1080*s**2 - 2
Let p = 4 - -2. Let w(b) = 0*b - 4*b + p*b. Let k(c) = -4*c. What is k(w(q))?
-8*q
Let n(t) = -6*t**2 + 31*t. Let k(m) = -2*m**2. What is n(k(l))?
-24*l**4 - 62*l**2
Let k(d) = 6*d + 3*d + 4*d. Let q(b) = -b**2. What is k(q(o))?
-13*o**2
Let b(l) = 1 + 4*l**2 - 1. Let q(h) = 7 - 2*h - 1 - 6. Calculate q(b(y)).
-8*y**2
Let v(h) = -34*h**2 + h. Let b(p) = 6*p**2. Calculate b(v(r)).
6936*r**4 - 408*r**3 + 6*r**2
Let h(j) = -j**3 + 6*j**2 + 8*j. Let p be h(7). Let x(s) = -p*s - 9*s + 4*s. Let r(a) = 2*a. Determine r(x(q)).
-24*q
Let a(g) = -15*g. Let b(s) = 3*s. Determine a(b(n)).
-45*n
Let y(s) = 11*s**2 - 5*s**2 - s**2. Let f(v) = -2*v**2 + 2*v - 2*v. What is y(f(a))?
20*a**4
Let d(n) be the first derivative of n**3/3 + 1. Let p(u) = -5*u. Let b(q) be the first derivative of 30*q**2 + 4. Let r(l) = -2*b(l) - 25*p(l). Give r(d(o)).
5*o**2
Let b(d) = 16*d. Let p(h) = 7*h**2. Give p(b(z)).
1792*z**2
Let r(i) = -5*i + 2. Let u(k) = -14*k + 7. Let x(c) = -21*r(c) + 6*u(c). Let z(l) = l**2. Calculate z(x(g)).
441*g**2
Let p(v) = 22 + 17 - 2*v - 39. Let y(f) = -9*f**2 + 6*f. Let k(z) = z**2 - z. Let l(i) = -6*k(i) - y(i). Give p(l(t)).
-6*t**2
Let o(p) = 91*p - 91*p + p**2. Let w(c) = 61*c**2. Determine o(w(h)).
3721*h**4
Let n be ((-12)/15)/((-6)/255). Let w(a) = 2*a + n - 34. Let f(t) be the first derivative of -2*t**2 + 1. What is w(f(o))?
-8*o
Let f(a) = 60*a. Let s(t) = 15*t + 1. Give f(s(q)).
900*q + 60
Let f(w) = -5*w. Let b(g) = 121*g**2. What is f(b(u))?
-605*u**2
Let l(z) be the first derivative of -z**3/3 + 2. Let k = 22 + -15. Let p(g) = -3*g + 7*g - k*g. What is l(p(v))?
-9*v**2
Let k(o) = -3*o + 2. Let j(n) = 5*n. What is k(j(m))?
-15*m + 2
Let k(l) = 20*l. Let a(g) = 11*g**2. What is k(a(x))?
220*x**2
Let u be (-56)/(-6) - (-2)/(-6). Let n(i) = 0*i + i + 0*i + u*i. Let f(l) = l**2. Determine f(n(v)).
100*v**2
Let m(w) = -w. Let p(f) be the first derivative of -4 + 1 + 0*f**2 + 4 - f**2. Calculate p(m(c)).
2*c
Suppose o - 4*a = 2*o + 8, 5*o - 4*a = 8. Let d(f) be the third derivative of 0*f**3 + 0*f + 2*f**2 + 1/8*f**4 + o. Let x(n) = 2*n**2. Give d(x(y)).
6*y**2
Let u(b) be the third derivative of 2*b**5/15 + 9*b**2. Let n(p) = p. Give u(n(o)).
8*o**2
Let k = -4 - -7. Suppose 2*f + k = 3*f. Let a(y) = -y - f*y + y. Let j(b) = -2*b. Determine j(a(t)).
6*t
Let o(l) = l. Let i = 4 + -2. Let y(x) = -6*x**2 + 3*x**i + 5*x**2 - x**2. What is o(y(z))?
z**2
Let i(h) = 4*h**2. Let w(k) be the first derivative of k**2/2 - 25. Give w(i(m)).
4*m**2
Let p(d) = d**2. Let o(r) be the first derivative of r**3/3 + 1. Suppose -2*v - 2*v = -8. Let x(c) = v*o(c) - p(c). Let k(b) = -3*b. Determine x(k(q)).
9*q**2
Suppose 3*h - p - 7 = 0, p - 4*p - 3 = 0. Let o(u) = -3*u**h + 0*u**2 - u**2 + 2*u**2. Let x(b) = 4*b**2. Determine x(o(f)).
16*f**4
Let j(y) = 2*y. Let d(n) = 0*n + 3*n - 2*n. Determine j(d(l)).
2*l
Let m(x) = 5*x + 3. Let b(z) = 4*z + 4. Let t(j) = -3*b(j) + 4*m(j). Let s(r) = 3*r**2. Calculate t(s(l)).
24*l**2
Let n(t) = -120*t**2. Let x(a) = 2*a. What is x(n(h))?
-240*h**2
Let x(h) = 2429*h - 2429*h + 2*h**2. Let p(j) = 8*j + 24. Let i(b) = b + 1. Let o(w) = -24*i(w) + p(w). Calculate o(x(u)).
-32*u**2
Let c(y) be the first derivative of 3 + 1/2*y**2 + 0*y. Let k(j) = 6*j**2. Determine k(c(l)).
6*l**2
Let x(r) = -10*r - 3. Let w(g) = -23*g. Determine w(x(b)).
230*b + 69
Suppose 4*o + a = -2, 2 = -4*a - 6. Let q(s) = -s - s + s + o. Let f(i) = i - 4*i + 4*i. What is q(f(k))?
-k
Let l(v) = 4*v - 5. Let z(y) = -5*y + 6. Let k(x) = 6*l(x) + 5*z(x). Let r(s) = -6*s + 4. Let w be r(-7). Let i(m) = w*m - 46*m - m**2. Determine k(i(f)).
f**2
Let k(w) = -9*w. Let i(r) = r**2 - 2*r. Let v(t) = 5*t**2 - 11*t. Let b(y) = -11*i(y) + 2*v(y). Calculate b(k(z)).
-81*z**2
Let q(x) = 3*x + 12*x**2 - 3*x - 15*x**2. Let g(a) = -2*a. What is g(q(v))?
6*v**2
Let i(z) = 10*z. Let y(v) = -7*v**2 + 3*v**2 + 2*v**2 - v**2. What is y(i(h))?
-300*h**2
Let w(i) = i**2 + 345*i. Let f(k) = -2*k. Determine w(f(l)).
4*l**2 - 690*l
Let r(v) = -686*v. Let u(y) = 6*y. Give u(r(o)).
-4116*o
Let y(k) = 1 + 2*k**2 - 1. Let h(q) = 2 - 2 - 8*q + 0. What is h(y(u))?
-16*u**2
Let d(n) = -4412*n. Let p(c) = c**2. Calculate d(p(h)).
-4412*h**2
Let v(n) = 2*n. Let a(h) be the third derivative of 11*h**4/24 + 12*h**2. Determine v(a(i)).
22*i
Let m(n) = -n + n - 6*n + 4*n. Let j(z) be the second derivative of -z**7/1260 - z**4/6 + 2*z. Let y(x) be the third derivative of j(x). What is y(m(h))?
-8*h**2
Let u(l) = l**2. Let z(n) = -n**2 - 8*n - 6. Let t be z(-6). Suppose 4 = t*j - 2*j. Let f(b) = -1 + 2*b + j. What is u(f(g))?
4*g**2
Let f(q) = q**2. Let b(t) = t**2 + 2*t - 2. Let g(k) = 4*k**2 + 9*k - 9. Let s = 1 - -1. Let w(x) = s*g(x) - 9*b(x). Calculate f(w(p)).
p**4
Let m(h) = -h. Suppose -2*w + 5*w - 3 = 0. Let x(c) be the first derivative of 0*c - w + 0*c**2 + 1/3*c**3. Determine m(x(q)).
-q**2
Let t(f) = -5*f**2 - 8*f + 3*f + 5*f. Let j(r) = -7*r. What is j(t(d))?
35*d**2
Suppose -8 = -5*o - 28. Let p(r) = -r**3 - 5*r**2 - 6*r - 4. Let q be p(o). Let c(m) = 2*m**2 - 3*m**2 + q*m**2. Let i(s) = -2*s**2. Calculate i(c(x)).
-18*x**4
Let r(v) = 36 + 0*v**2 + 5*v + 6*v**2 - 36. Let l(p) = 21*p**2 + 18*p. Let b(x) = -5*l(x) + 18*r(x). Let m(g) = 2*g. Give b(m(q)).
12*q**2
Let b(p) = -2*p. Let u(n) be the first derivative of 7*n**2/2 - 2. Calculate u(b(q)).
-14*q
Let d(f) = 16*f**2. Let y(i) = -6*i - 15. What is y(d(c))?
-96*c**2 - 15
Let c(x) = x. Let h(m) = m**3 + 4*m**2 + 4*m + 2. Let l be h(-2). Let t(r) = 0*r**2 - r**2 - r**l. Determine c(t(q)).
-2*q**2
Let y(c) be the second derivative of -3*c + 0 + c**2 + 0*c**3 + 1/12*c**4. Let u(r) be the first derivative of y(r). Let k(m) = -2*m. Give k(u(b)).
-4*b
Let t(j) = 8*j**2 - 3*j**2 + 2*j**2. Let i(g) = 2*g**2. Give t(i(q)).
28*q**4
Let u(d) be the third derivative of d**4/12 + d**2. Let x(i) be the first derivative of -2/3*i**3 + 0*i - 2 + 0*i**2. Calculate x(u(c)).
-8*c**2
Let q(n) = 23*n**2. Let d(r) = -392*r**2. Let h(m) = -2*d(m) - 35*q(m). Let u(t) = -t. Give h(u(l)).
-21*l**2
Let y(f) = -f + 423. Let r(v) = 2*v**2. Give y(r(w)).
-2*w**2 + 423
Let f(p) = 57*p. Let a(o) = o**2 + 12*o. Determine f(a(w)).
57*w**2 + 684*w
Let o(u) be the third derivative of u**5/30 + u**2. Let q(r) be the first derivative of 3*r**2 - 61. Determine q(o(f)).
12*f**2
Let h(q) = -2*q**2. Let n(d) = -35*d + 43*d - 116*d - 38*d. What is n(h(j))?
292*j**2
Let i(p) = 2*p**2 + 120. Let x(y) be the first derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0.2
Suppose 5*s + 15 = 10*s. Sort -5, s, -77 in increasing order.
-77, -5, s
Let u = -0.2 + -0.6. Let k = u - -4.8. Sort 3, k, 5.
3, k, 5
Let x = 0.8 - 0.7. Put x, -9, 4/3 in descending order.
4/3, x, -9
Suppose 5*y = -5*x + 95, 2*y + 53 = 5*y + 4*x. Let p = 18 - y. Sort -2, 9, p in ascending order.
p, -2, 9
Let x = -3 + 5. Suppose -x*c + 5*i - 6 = 0, 3*c + 9 = -0*c + 5*i. Sort 2, c, 4.
c, 2, 4
Let t = 86 - 685/8. Put t, -0.23, -3 in descending order.
t, -0.23, -3
Let r = 6 - 6.2. Suppose -7*c = c - 40. Sort r, 1, c in descending order.
c, 1, r
Suppose 12 - 37 = -4*d + h, 0 = -2*d - 4*h - 10. Suppose 6*g = 2*g - 3*l + 16, 9 = -3*g + 3*l. Sort g, d, -12 in descending order.
d, g, -12
Suppose 5*g - 3*g = -6. Let s be (-6)/(-21) - (-27)/(-21). Let l be -2 + (1 - s)*1. Put 1, g, l in ascending order.
g, l, 1
Let f = 21.27 - 14.28. Let g = -0.01 - f. Let v = 11 + g. Put 2, v, -2/19 in descending order.
v, 2, -2/19
Suppose -w - 10 = -5*z + 4*w, -w + 13 = 2*z. Let y = -6 + z. Let c = -2 + 2.5. Sort y, c, 1/3.
y, 1/3, c
Let m be 2*(2 + 0 + -1). Suppose 0 = -m*w + 7*w. Let v be (2 - 3)*5*1. Sort v, 5, w in decreasing order.
5, w, v
Let h = 72 - 81. Put -4, 3, h, 4 in increasing order.
h, -4, 3, 4
Let o be (-180)/(-10)*(0 + 1). Suppose 0*r = -2*r + 4*h - o, 8 = 2*h. Suppose 0 = 4*w + 3*s - s, -s = -w + 3. Sort w, r, 5.
r, w, 5
Let u = -138 + 142. Suppose 0 = -3*z - 9, 0*n = -n + z. Sort -1, n, u in increasing order.
n, -1, u
Suppose -2*t = -2*d - 10, 10 = 3*t + 4*d - 26. Let g be ((-15)/(-6))/(-5)*t. Let m be 0 - (-3)/6*g. Sort 4, -1/8, m in ascending order.
m, -1/8, 4
Let p(r) = r**3 + 11*r**2 - 3. Let o be p(-11). Let m(i) = -2*i - 6. Let n be m(-5). Suppose 0 = -3*d + n*d + 4. Put -0.1, o, d in increasing order.
d, o, -0.1
Let l(b) = b**3 + 4*b**2 + 3*b + 2. Let z be l(-3). Let q be 8/10 - 231/(-105). Sort 4, z, q in increasing order.
z, q, 4
Let r = 2.5 + -2. Let k(f) = 2*f**3 + 2*f**2 - 4*f + 3. Let y be k(1). Put y, -5, r in increasing order.
-5, r, y
Let h = -22 - -9. Put -2/17, -2/7, h in increasing order.
h, -2/7, -2/17
Let i be 36/2*2/6. Sort i, 5, -4 in descending order.
i, 5, -4
Let r = 28 + -28.4. Sort r, 3/5, -0.2 in ascending order.
r, -0.2, 3/5
Let m = -5.4 + 5. Let j(y) = y**3 + 4*y**2 + 4*y. Let b be j(-3). Let g = -1/214 - 415/2782. Put b, m, g in descending order.
g, m, b
Let l = -4 + 6. Suppose -l*w = -4*z - 7*w + 13, 5*z + 3*w = 0. Let c be ((-2)/(-3))/(18/27). Put c, -4, z in ascending order.
-4, z, c
Let x(i) = -i**2 + 2. Let m be x(-2). Put m, -0.2, 4/11 in increasing order.
m, -0.2, 4/11
Let n(p) = 0 + 31*p - 3 - 32*p. Let x be n(-6). Suppose -u = 1 + 4. Put u, x, -2 in increasing order.
u, -2, x
Let t be 9*(21/9 - 2). Sort -5, t, -4.
-5, -4, t
Let u(y) = -y - 17. Let j be u(-15). Let w = -4 - -4.2. Let r = 0.4 - w. Sort j, 5/4, r in decreasing order.
5/4, r, j
Let d = 0.06 - -3.94. Let p = -353 + 348. Put d, 5/4, p in increasing order.
p, 5/4, d
Let x be (-6)/(3 - (-36)/(-8)). Sort x, 1, -4 in increasing order.
-4, 1, x
Let j(i) = i**3 - 2*i + 3. Let h be j(2). Let p(b) = b**2 - 4*b - 17. Let k be p(h). Put -2, k, 2 in decreasing order.
k, 2, -2
Let s = -161/3 + 54. Sort 9, s, 1/4 in ascending order.
1/4, s, 9
Let h = 8 + -5. Let u be 4/14 - (-2)/(-7). Suppose u = -2*g + g - 3. Put g, h, 2 in decreasing order.
h, 2, g
Let w = -5 - -7. Let n = -2.17 + -0.13. Let k = w + n. Sort 2, k, 1/4 in descending order.
2, 1/4, k
Suppose 21 = -z + 4. Put z, 0, -3 in ascending order.
z, -3, 0
Suppose -2*b = 3*b + 20. Let t(p) = -p. Let v be t(b). Sort v, 0.3, -2.
-2, 0.3, v
Let u = 0.2 + -0.3. Suppose -4*s = -4*l + 4, 3*s = -0*s - 5*l - 19. Sort -2, u, s in descending order.
u, -2, s
Let x = -7 - -12. Put 0.3, -0.1, x in increasing order.
-0.1, 0.3, x
Suppose 28 = -2*z + 18. Let j be ((-4)/(-6))/(1/6). Sort -4, j, z in descending order.
j, -4, z
Let h(r) = -3*r + 8. Let y be h(6). Put 1/3, 2, y in increasing order.
y, 1/3, 2
Let j(f) be the second derivative of -f**4/6 + f**3/3 + f**2 - 2*f. Suppose -9 = -4*d - 1. Let w be j(d). Sort 0.1, 2, w in decreasing order.
2, 0.1, w
Let y be 4/6 + (-6)/9. Let u be (-4 - y)/(-2) - -1. Suppose o + 15 = -5*z, -u*o - 5*z = -o + 10. Put o, -3, 1 in increasing order.
-3, 1, o
Let t be (-1 + (2 - 1))/(-2). Let u = 1 + -3. Put u, 4, t in decreasing order.
4, t, u
Let r = 2.5 + -2. Let j = -11 + 26. Let v be (-3)/15 + (-2)/j. Sort r, 2/5, v in increasing order.
v, 2/5, r
Let p = -15 + 14. Sort p, -8, -4 in descending order.
p, -4, -8
Let h be (-1 - (-27)/(-15))/((-2)/5). Put -2, 2, -4, h in increasing order.
-4, -2, 2, h
Let c(d) = -d**3 - 5*d**2 - 2*d - 2. Let k be c(-4). Let x = k - -35/2. Let a = x - 131/18. Put 0, 0.5, a in descending order.
0.5, a, 0
Let h = 1/68 - 371/15980. Let s = -484/1645 - h. Sort 1, 3, s.
s, 1, 3
Let u be 6/(-2)*2/(-6). Suppose 4*a - 3 = u. Sort -3, a, 2.
-3, a, 2
Let t = -35 - -31. Sort 1.5, t, 3.
t, 1.5, 3
Let v = 4 - 4. Suppose 5*h - 2*p - 11 + 3 = v, 6 = 2*h + 2*p. Suppose 0 = -c - 4*d + 4 - 5, 4*c = h*d - 4. Put 1, c, -1/5 in ascending order.
c, -1/5, 1
Let p = 0.2 - 0. Let q = 3 + -1. Suppose x = -1, a - 1 = -q*x + x. Sort p, 4, a in decreasing order.
4, a, p
Let u = 7 - 4. Suppose 0 = n + 3*o - 5, -n - 3 = 4*o - 9. Put -2, n, u in descending order.
u, n, -2
Let y be 1 + -1 + (-30)/7 + 4. Put 84, y, 2/11 in decreasing order.
84, 2/11, y
Let f(z) = z**2 - z - 2. Suppose -1 = 3*p + 5. Let w be f(p). Let d be 2 - 34/9 - (-46)/(-207). Sort w, d, 0 in descending order.
w, 0, d
Let j = 0 - -0.2. Let l = 14.3 - 12.3. Put l, j, -2 in descending order.
l, j, -2
Let k be 2/12*(-16)/24. Sort k, 4/3, 0.3 in descending order.
4/3, 0.3, k
Let p = 37 - 75. Let w be p/(-12) - (-8)/(-48). Sort w, -2, 4 in decreasing order.
4, w, -2
Let a be 0 - -1 - (5 + -4). Let p = a - 1. Let j be 1*(p - (-18)/14). Sort -0.5, j, -3 in ascending order.
-3, -0.5, j
Let g(a) = -a**3 - a**2 + a + 57. Let i be g(0). Let p = -397/7 + i. Put p, 0.4, 4 in increasing order.
p, 0.4, 4
Let b(s) = s**3 - 4*s**2 + 2*s + 2. Let u be b(2). Let y(d) = -d**2 - 5*d - 4. Let p be y(-3). Suppose 2 = 3*a - p*a. Put 1, u, a in descending order.
a, 1, u
Let u = -1 + 2. Suppose -5*v = -4*f + 2, 2*f + 0*v = 4*v - 2. Put f, u, 5 in descending order.
5, f, u
Let h = 193 + -191. Put h, -4, -5 in decreasing order.
h, -4, -5
Let l(v) = 6*v - 34. Let s be l(5). Let b = 0.7 - 0.77. Let f = 3.93 - b. Put f, s, -1 in descending order.
f, -1, s
Suppose 3*j + 2*j = -25, -45 = -2*b + 5*j. Let o = -12 + 15. Suppose -o*c - 1 = -b. Put 0, 2, c in ascending order.
0, 2, c
Let k(r) = -9*r + 16. Let l be k(3). Put l, 0.4, 3, -3 in decreasing order.
3, 0.4, -3, l
Suppose 5*g + 15 = 3*c - 7, -3*g = 3*c + 18. Sort 4, c, 0, 2.
c, 0, 2, 4
Let c = -1/36 - -25/36. Put 0.5, -1/6, c, -4 in increasing order.
-4, -1/6, 0.5, c
Suppose -3*j = -z - 4, 0 = -5*j - 5*z + 30 + 10. Sort 1, j, -4 in descending order.
j, 1, -4
Suppose 6*l - 7*l = -2. Sort 0.09, l, 0.1, -0.4.
-0.4, 0.09, 0.1, l
Let w(f) = -f**2 - 8*f - 2. Let o be w(-7). Suppose -o*c + 8 = -c. Sort c, 1, -1 in ascending order.
-1, 1, c
Suppose -5*n - 5 = 15. Put n, 2, 4 in ascending order.
n, 2, 4
Let y = -0.13 - -0.43. Sort y, 0.4, 1/5 in descending order.
0.4, y, 1/5
Suppose 2*v = 15 - 13. Sort 0, 5, v, 0.4.
0, 0.4, v, 5
Let f(d) = -d**2 - 6*d - 4. Let l be f(-6). Put -3, l, 2 in increasing order.
l, -3, 2
Let r be (9 - 5)*14/8. Let u = 3 - r. Let b(s) = s**3 - 5*s**2 + 6*s - 6. Let z be b(4). Put z, 4, u in descending order.
4, z, u
Let c = 3 + -5. Let q be 2*(3 - 2/1). Suppose 3*z - 5 = q*z. Put z, c, -5 in descending order.
z, c, -5
Let p(q) = -q**3 + 4*q**2 - 5*q + 3. Let i be p(3). Put -1, 4, i in increasing order.
i, -1, 4
Let l be (4 + (-45)/10)*-6. Sort l, 11, 5 in increasing order.
l, 5, 11
Let o be (-2)/(-3)*(4 + -1). Suppose -8*l - 3 = -9*l. Put l, 4, o in decreasing order.
4, l, o
Let x = -11.1 + 12. Let j = x + -0.5. Let s = 181/4 + -45. Put 0, j, s in descending order.
j, s, 0
Suppose 2*j = 1 - 5. Suppose -50 = -4*q - 10. Let a be 1/(3/(q - 1)). Put a, 1, j in increasing order.
j, 1, a
Let w = -2.33 + -0.27. Let m = -3 - w. Put m, -1/6, -0.2 in decreasing order.
-1/6, -0.2, m
Suppose 0 = a + 2. Let m = -74.3 + 74. Sort a, m, 2.
a, m, 2
Suppose 25 = -2*o + 7*o. Put o, 0, -1 in dec
|
{
"pile_set_name": "DM Mathematics"
}
|
erms in -3*o - 32*o**2 + 12*o**2 + 11*o**2.
-9*o**2 - 3*o
Collect the terms in 50 - 50 - 35*w + 33*w.
-2*w
Collect the terms in -2*u**2 - 3*u**2 + 0*u**2.
-5*u**2
Collect the terms in -94998 + t**3 + 94998.
t**3
Collect the terms in -7*q**3 - q**3 + 3*q**3.
-5*q**3
Collect the terms in 324*l - l**2 + 742*l + 397*l.
-l**2 + 1463*l
Collect the terms in 128*k**2 + 123*k**2 - 250*k**2.
k**2
Collect the terms in -94*c**2 - 85*c**2 - 78*c**2.
-257*c**2
Collect the terms in -5 + 5 - 14256*q + 14254*q.
-2*q
Collect the terms in 9*r**3 + 7*r**3 + 2*r - 2*r.
16*r**3
Collect the terms in 12*m**3 - 22*m**3 - 13*m**3 - 6*m**3.
-29*m**3
Collect the terms in 3*m - 15*m - m - 7*m.
-20*m
Collect the terms in -1 + 1 + 70*c**3 - 13*c**3.
57*c**3
Collect the terms in -3 + 5 - 2 - 5*s**3.
-5*s**3
Collect the terms in 460*a - 460*a + 363*a**2.
363*a**2
Collect the terms in -1328 + 1328 + 2*i**2.
2*i**2
Collect the terms in -92*x + 0 - 1 + 1.
-92*x
Collect the terms in 3525*u - 3525*u + 8*u**2.
8*u**2
Collect the terms in -10*j - 24*j**2 + 6*j + 4*j.
-24*j**2
Collect the terms in -126*v**3 + 248*v**3 - 123*v**3.
-v**3
Collect the terms in 62*b - 18*b - 45*b.
-b
Collect the terms in -4 + 4 + 2*h**2 - 5*h**2 - 2*h**2.
-5*h**2
Collect the terms in -3*l - 26 - l + 2*l.
-2*l - 26
Collect the terms in 6*z**2 - 2*z**2 + 5*z**2 + 2*z**2.
11*z**2
Collect the terms in 12*f - 32*f + 96 - 96 + 22*f.
2*f
Collect the terms in 2*x**3 + 5*x + 6*x**3 - x**3 + x**3.
8*x**3 + 5*x
Collect the terms in -1014 + 340 - a**2 + 332 + 342.
-a**2
Collect the terms in -19*p + 30*p - 9*p - p + 2*p.
3*p
Collect the terms in 326629*d - 326629*d + 16*d**2.
16*d**2
Collect the terms in -f**2 + 3*f**2 - 6*f**2 - 4*f**2.
-8*f**2
Collect the terms in 2 - 2 - 12303*i + 12302*i.
-i
Collect the terms in -5*o**2 + 7*o**2 + 4*o**2 + 5*o**2.
11*o**2
Collect the terms in -570*j**3 + 412*j**3 - 2256*j**3.
-2414*j**3
Collect the terms in 3*g**2 + 4*g**2 + 3*g**2 + 5*g**2.
15*g**2
Collect the terms in 7*j**2 + 10*j**2 - 30*j**2.
-13*j**2
Collect the terms in 3171 - 4*p - 3171.
-4*p
Collect the terms in -8*k + 2*k - 21*k - 4*k.
-31*k
Collect the terms in 17*b - 5*b - 10*b + 3*b + b.
6*b
Collect the terms in -1 + 8 + 19*w - 7.
19*w
Collect the terms in -42*x + 0 + 4*x - 30.
-38*x - 30
Collect the terms in x + 9*x + x - 2*x.
9*x
Collect the terms in 1 - 1 - 58*d**2.
-58*d**2
Collect the terms in -521*c + 2*c**3 + 5*c**3 - 9*c**3.
-2*c**3 - 521*c
Collect the terms in -105*y - 4*y**3 - 98*y + 203*y.
-4*y**3
Collect the terms in 18*m - 6*m - 12*m + 2*m**2.
2*m**2
Collect the terms in -2 + 10*d - 35*d + 2.
-25*d
Collect the terms in 4*b**3 - 26*b - 25*b - 31*b + 82*b.
4*b**3
Collect the terms in -10*p - p - 13*p - 13*p.
-37*p
Collect the terms in 2*r**2 + 5*r**2 - 5463*r + 5463*r - 3*r**2.
4*r**2
Collect the terms in -8208*g**2 + 8208*g**2 + 8*g**3.
8*g**3
Collect the terms in 221*c - 221*c - 19*c**2.
-19*c**2
Collect the terms in -2*g + 4*g - 1 - 9*g.
-7*g - 1
Collect the terms in 15983*m**3 - 15984*m**3 - 9*m**2 + 9*m**2.
-m**3
Collect the terms in 7*p**3 + 0*p**3 - 6*p + 6*p**3 - 9*p**3.
4*p**3 - 6*p
Collect the terms in -5*a**3 - 3*a**3 - 5*a**3 + 0*a**3.
-13*a**3
Collect the terms in 250*o - 124*o - 119*o.
7*o
Collect the terms in -59*b + 5*b**2 + 59*b.
5*b**2
Collect the terms in -12*k - 5*k + 57*k.
40*k
Collect the terms in 81*x - 11*x - 78*x.
-8*x
Collect the terms in 655*k**2 + 2*k - 669*k**2 - 2*k.
-14*k**2
Collect the terms in 9*v**2 + 8*v**2 - 35*v**2 + 7*v**2 + 8*v**2.
-3*v**2
Collect the terms in 11*t**2 + 10*t - 10*t.
11*t**2
Collect the terms in 6*n**2 - 51 + 111 - 60.
6*n**2
Collect the terms in -17*i**2 + 15*i**2 + 220 + 35.
-2*i**2 + 255
Collect the terms in 4*a**2 + 2*a + 39*a - 41*a.
4*a**2
Collect the terms in 101*k**2 - 23*k**2 - 22*k**2 - 27*k**2 - 33*k**2.
-4*k**2
Collect the terms in 2*i - i**3 - 10*i**3 - 2*i.
-11*i**3
Collect the terms in 23*q + 0*q**3 + 9*q**3 - 10*q**3 + 41*q.
-q**3 + 64*q
Collect the terms in 231*w + 233*w + 229*w - 683*w.
10*w
Collect the terms in 2*s + 86 - 86.
2*s
Collect the terms in 19*q**3 - 569*q**2 + 282*q**2 + 287*q**2.
19*q**3
Collect the terms in 79*v**2 + 68*v**2 - 155*v**2.
-8*v**2
Collect the terms in 3*i**3 + 1002*i**2 - 1002*i**2.
3*i**3
Collect the terms in -5*w**2 + 8*w**2 - 9*w**2.
-6*w**2
Collect the terms in h**2 - 4137*h + 4137*h - 34*h**2.
-33*h**2
Collect the terms in 0 - 4 + 4 - 12*j - j**3.
-j**3 - 12*j
Collect the terms in -244*g - 235*g + 488*g.
9*g
Collect the terms in -491*f**2 - f**3 + 491*f**2.
-f**3
Collect the terms in j**3 - 4*j**3 + 0*j**3.
-3*j**3
Collect the terms in 21 - 10 - 706*r - 11.
-706*r
Collect the terms in -6*k**2 - 4*k**2 + 11*k**2 + 17*k**2.
18*k**2
Collect the terms in 201*s - 7*s**3 - 409*s + 208*s.
-7*s**3
Collect the terms in o**3 + 2375 - 2375.
o**3
Collect the terms in 752 - 1503 - 2*a + 751.
-2*a
Collect the terms in 175*k - 87*k - 84*k.
4*k
Collect the terms in -12*s + 51*s - 9*s - 23*s.
7*s
Collect the terms in 55*f**2 - 100*f**2 + 48*f**2.
3*f**2
Collect the terms in -893 + 4*o + 893.
4*o
Collect the terms in -14*t + 5*t + 2*t + 3*t.
-4*t
Collect the terms in 444*r - 890*r + 455*r.
9*r
Collect the terms in 6*j - 6*j + 136*j + 52*j.
188*j
Collect the terms in -47 - 2*l**3 + 47.
-2*l**3
Collect the terms in -6*m + 4*m + 2*m + 5*m + m.
6*m
Collect the terms in 37*f**2 + 27*f**2 - 99*f**2 + 36*f**2.
f**2
Collect the terms in -2*k**2 - 3*k + 3*k + 0*k.
-2*k**2
Collect the terms in -74*c**2 + 148*c**2 - 77*c**2.
-3*c**2
Collect the terms in 54*q + 48*q - 151*q + 50*q.
q
Collect the terms in 50*o**3 - 12*o**3 - 14*o**3 - 18*o**3.
6*o**3
Collect the terms in -204*x**3 - 203*x**3 + 402*x**3.
-5*x**3
Collect the terms in 29*i**3 + 11*i**3 - 12*i**3.
28*i**3
Collect the terms in 4*m**2 - 5*m**2 + 0*m**2.
-m**2
Collect the terms in 15617 + 15616 - 7*p - 31233.
-7*p
Collect the terms in -76*s**3 + 0*s + 67*s**3 + 0*s.
-9*s**3
Collect the terms in -2 - x**3 - 10 + 3*x**3.
2*x**3 - 12
Collect the terms in -212*g - 351*g + 172*g.
-391*g
Collect the terms in -5*j + 9*j - j - 6*j.
-3*j
Collect the terms in 187*w + 69 - 69.
187*w
Collect the terms in -119 + 119 + 45*j - 18*j.
27*j
Collect the terms in 249*j**3 - 120*j**3 - 123*j**3.
6*j**3
Collect the terms in 60*d - 60*d + 2*d**3.
2*d**3
Collect the terms in 2*x - 4*x**2 - 2*x + 6*x**2.
2*x**2
Collect the terms in 7*d - 76*d + 66*d.
-3*d
Collect the terms in 117 - 4*a - 117 + 4*a - 6*a**3.
-6*a**3
Collect the terms in -2392*b**3 + 2394*b**3 + 2 - 2.
2*b**3
Collect the terms in 3*f**2 + 27680 - 27680.
3*f**2
Collect the terms in -2*k - 34*k**2 + 6*k**2 + 2*k.
-28*k**2
Collect the terms in o + 8*o - 2*o - 6*o.
o
Collect the terms in 2508 + 2514 + j**2 + j**2 - 5022.
2*j**2
Collect the terms in -105 + 53 + 17*k + 52.
17*k
Collect the terms in 4*o**3 - 478*o**2 + 950*o**2 - 472*o**2.
4*o**3
Collect the terms in -17*u**2 - 74*u**3 - 18*u**2 + 35*u**2.
-74*u**3
Collect the terms in -75 + 147 - 2*y**2 - 72.
-2*y**2
Collect the terms in -504*c**2 + 165*c**2 + 166*c**2 + 170*c**2.
-3*c**2
Collect the terms in 10*n**2 + 22*n**2 + 9*n**2 - 11*n**2.
30*n**2
Collect the terms in -72*a + 213*a - 71*a - 67*a.
3*a
Collect the terms in 8*x - 2*x - 7*x.
-x
Collect the terms in h + 6*h**2 - 3*h + 2*h + 10.
6*h**2 + 10
Collect the terms in 2*j - 15 - 2*j + 2*j.
2*j - 15
Collect the terms in -44 - 12 - 14 + y**2 - 30.
y**2 - 100
Collect the terms in 2685*c**3 + 2687*c**3 - 5375*c**3.
-3*c**3
Collect the terms in 34 + 2*a**3 + 41 - 75.
2*a**3
Collect the terms in -2*q**2 + q**2 - 3*q - 21*q.
-q**2 - 24*q
Collect the terms in 215*a**3 + 2 - 2.
215*a**3
Collect the terms in 13*x**2 + 18*x**2 - 17*x**2.
14*x**2
Collect the terms in -11*i + 10*i + 33*i - 11*i.
21*i
Collect the terms in -58*j - 38*j - 14*j.
-110*j
Collect the terms in n**3 - 453 + 453.
n**3
Collect the terms in 1996 + 2004 - 6*s - 6000 + 2000.
-6*s
Collect the terms in 21*a + 11*a - 4*a.
28*a
Collect the terms in p**3 + 3*p**2 + 3*p**2 - 2*p**2 - 4*p**2.
p**3
Collect the terms in -15*r**2 + 10*r**2 - 20*r**2 - 3*r**2.
-28*r**2
Collect the terms in -2*t**2 - 11*t + 11*t + 7*t**3.
7*t**3 - 2*t**2
Collect the terms in -5*p**2 + 4*p**2 + 4510*p - 4470*p.
-p**2 + 40*p
Collect the terms in g - 7*g + 2*g + 3*g.
-g
Collect the terms in -8 + 87
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-26
Evaluate (-15)/(-2)*42/(-105).
-3
Evaluate (-12)/(-3) - (38/8)/((-95)/(-76)).
1/5
Evaluate 10/8 + (35/36 - (-18)/(-81)).
2
What is the value of 4 - (-84)/(-18) - (-32)/12?
2
What is (-3 - 10/(-3)) + (-33)/(-154)*-2?
-2/21
25/(-85)*3*((-264)/40 + 7)
-6/17
Evaluate (-32)/(-56) + (-7)/(294/(-144)).
4
((19 - (-5 - -19)) + (3 - 2))*6
36
What is 273/1456*(-32)/(-10)?
3/5
Evaluate (-7)/(-1) - ((-368)/13)/(-4).
-1/13
What is the value of 15 + 49 - (-1035)/(-23)?
19
What is the value of (-3)/(4 + -8 - (-1 - 1))?
3/2
Evaluate ((-4830)/686 + 7)*-14.
4/7
What is 3/(-8*(-3)/136)?
17
What is (2/(-276)*-2)/((-19023)/(-306) + -62)?
2/23
Evaluate (((-372)/52)/(-31))/(-1).
-3/13
What is the value of ((-1152)/(-21120))/(-1 - (-16)/10)?
1/11
What is the value of 245/165 + (-70)/42?
-2/11
Calculate 1/(18/(-8)) - (-1060)/2790.
-2/31
What is (19/(-133))/((-6)/7) + (-134)/12?
-11
What is the value of 75/11 + 9/(99/2)?
7
16 - (33/165 - (-9)/(-45))
16
What is (5 - 8)*(9/(-12))/((-387)/8)?
-2/43
Calculate 5/(17/((-1530)/75))*1.
-6
Calculate (16/(-9))/((-30)/135).
8
Evaluate 9 + (-2)/16 + (-10 - (-330)/80).
3
(-5719)/602 - (-2)/(-4)
-10
What is the value of (-6)/(-45) - 4590/(-26325)?
4/13
What is (-73)/310 - 159/(-530)?
2/31
0/(-14) - ((-9)/1 - -2)
7
(-18)/(-8)*84/(-819)*-13
3
Calculate (-454)/1135 - (2 - 146/65).
-2/13
Evaluate 58040/20240 + (-1)/(-22) + -3.
-2/23
Calculate 4/(-33) + -4 + 228/66.
-2/3
(-56)/196*(-420)/(-160)
-3/4
What is 8 + (6 + -9)/(-18*(-18)/888)?
-2/9
What is the value of 61/(-6) - (10 + -5 - 15)?
-1/6
Evaluate (143/33)/(7/(-21)) - -2.
-11
What is 5/(-12)*(-240)/4500*-20?
-4/9
Evaluate (24/9)/(4/6*-1)*1.
-4
Evaluate (-8)/28 + 74/(-35) - -3.
3/5
What is (27 - 3705/140)/(2/(-7))?
-15/8
Evaluate (-656)/(-198) + 246/(-82) - 6/66.
2/9
Calculate 2138/28863 + (1304/(-54))/2.
-12
Evaluate (-2*2/5)/(547/(-5470)).
8
What is the value of 1008/(-700)*-5 - (0 + 7)?
1/5
Calculate 150/1650 + (-2)/(-6) + (-886)/66.
-13
Calculate ((-128)/480)/((-8)/42).
7/5
(0 + (0 - (-3)/2))*(-2740)/(-822)
5
9/(-8*48/(-896))
21
(-40053)/(-2054)*((-7)/(-6) + -1)
13/4
Calculate ((-3)/30 + 0)/(1/((-70)/(-8))).
-7/8
Evaluate (156/30)/((-204)/510).
-13
What is ((-1180)/(-708))/((-2)/30)?
-25
What is 14*5/16 - (423 + -419)?
3/8
What is the value of (-22080)/(-38400) - (2 - 9/5)?
3/8
What is the value of (((15/10)/(-1))/8)/(18/(-24))?
1/4
What is the value of -15*(-23)/(12075/7)?
1/5
Evaluate (-45)/((-3240)/(-96))*(-9)/12.
1
Calculate 50/75 - (-1)/(84/(-128)).
-6/7
What is the value of ((99 - 35)/832)/(-3 - 44/(-13))?
1/5
What is the value of -16 - 102712/(-6660) - 1/(18/4)?
-4/5
Calculate ((-14)/(-10) - -2)*200/(-40).
-17
Evaluate ((-16)/(-35))/(1632/(-4080)).
-8/7
What is the value of (-750)/(-840) + 24/(-21)?
-1/4
Calculate 231/253 + 24/276.
1
What is 21 + (-22 - -31 - 31)?
-1
What is the value of (-45)/((705/(-282))/(5/3))?
30
(((-12)/(-10))/(-2))/(14/(-2310)*-11)
-9
Calculate 38/3 - (-3)/((-27)/(-12)).
14
Evaluate (-36)/(-35) - (-60)/150.
10/7
Calculate ((-1)/2)/((-6)/4*91/8463).
31
5643/198*2/(-3) - 2
-21
Calculate (-13)/(-7) - 1 - (-34)/(-7).
-4
What is 68/(-10) - -1 - (6 - (-102)/(-15))?
-5
-6 - (-38)/(7/(6/1 - 5))
-4/7
Evaluate -13 + 950/70 - (-146)/14.
11
What is the value of (13 - (2 + 12))*-16?
16
Calculate (-1)/((85/(-17))/5)*(-18 - 1).
-19
What is (70 - 45)/(3 + -2)?
25
Evaluate (-1488)/(-217) + (-5)/(-35).
7
(57/51 - 1) + (-34928)/(-2516)
14
What is ((-16)/160)/(19/(-665))?
7/2
Evaluate -4 - (-1 - 0) - (6 + 315/(-45)).
-2
Evaluate -2 + (-13 - (-31 - -7)).
9
What is (-192)/(-27) + -6 + 2/(-18)?
1
Evaluate (1 - -5) + (-3872)/660.
2/15
What is the value of 3 + ((-2)/(28/(-225)) - 62/868)?
19
What is (-804)/54 + 16 - 3*4/18?
4/9
Evaluate (-31)/(-6) + 70/(-14).
1/6
What is (-30)/(38 + -98)*(1 + 1)?
1
What is ((-10)/20 + 6 + -8)*(-20)/(-55)?
-10/11
What is (-66)/(-126)*(-92)/506?
-2/21
(-7 - (1 + 0)) + (-22260)/(-2385)
4/3
Evaluate 1364/(-155) - (-1)/((-15)/(-27)).
-7
Calculate (-23)/40 + (-2870)/(-4592).
1/20
((0 - -2) + (-305)/122)*170/(-5)
17
Evaluate (-4316)/(-5395) - (-196)/(-270).
2/27
What is 4 + 14*(-3 - (48/9)/(-2))?
-2/3
Evaluate (-1*1/44)/(20/(-160)).
2/11
What is the value of (4/(-10))/(30/((-3150)/(-357)))?
-2/17
Evaluate ((-899)/(-261) - 8/18)*(-16)/3.
-16
Calculate (-7 + (-81)/(-12))/(9/24).
-2/3
What is 24/(-156) + (-24)/(-26)*(-100 - -85)?
-14
Evaluate (122 - 128)/((-207)/(-26)) + 2/3.
-2/23
Evaluate (-5)/(-50)*25*(816/(-210) - -4).
2/7
Evaluate -3 - (199/(-21) - (-780)/(-910)).
22/3
(6 - (-369)/(-117))/(-1) + (6 - 3)
2/13
What is ((-664)/(-16) - 40)*(-32)/6?
-8
Calculate (((-306)/(-32))/(-17))/(78/104).
-3/4
What is ((-444)/333)/(16/(-3))?
1/4
What is 1*(((-150)/5)/(-5) - 2)?
4
What is (22/(-22 + 44))/1?
1
((-7)/42)/((-1)/((-11)/(33/24)))
-4/3
9513/23254*22/(-12)
-3/4
What is ((-2)/35)/(-17 - (-2484)/161)?
2/55
Calculate (-190)/(-9025) - (-2748)/31920.
3/28
Evaluate (39 - 3)*2*9/(-54).
-12
((-308)/70 + 5)*((-16)/6)/(-2)
4/5
What is (-7 - 189/(-18))*(20/14 - 0)?
5
Calculate (2 - 5 - 52/12)*(-117)/78.
11
Calculate ((-48)/(-28))/1*(-2 - (-240)/36).
8
What is the value of (-2)/((-4)/26) - (-19 + 936/39)?
8
What is 756/(-20) - (2/20)/(253/506)?
-38
What is the value of 18/(-63) + (-390)/(-42) + 1?
10
Calculate ((-242)/12)/(-11) - (-5 - 2 - -10).
-7/6
45/(-18)*-7 + 12/(-8)
16
What is the value of ((-34)/(-136))/((-171)/24)?
-2/57
What is (2*(-12)/(-14))/(24*6/(-504))?
-6
What is ((-18)/15 - -2) + (4 - 4)?
4/5
What is ((-2)/(-14))/(-14 - (-3800)/266)?
1/2
Calculate 1/((-28)/13 - 32/(-208)).
-1/2
Evaluate -1*(27 - 44 - (1 - 1)).
17
Evaluate 240/480*6/(-9).
-1/3
What is the value of 12/120*(-16)/(-12)?
2/15
-1*5/(-110)*-2*-1
1/11
Evaluate (-8 - -2)*1 - (-10)/240*147.
1/8
Calculate ((-270)/36 - -10)*(-8)/110.
-2/11
What is -2*(-3)/(-12)*2/19*1?
-1/19
Evaluate (-10)/2*((-936)/360)/(2/(-2)).
-13
Calculate 3/(-1)*(-26)/(-78).
-1
What is ((-700)/525)/(8/78)?
-13
What is the value of 8*2/(-176)*6?
-6/11
What is the value of -14 + 1356/96 - (-3)/((-2520)/49)?
1/15
Calculate ((-18)/8 - (-78)/(-104))*135/567.
-5/7
Calculate (521/1042)/((-1)/(-6)).
3
Calculate -5 - (-3)/9 - (1694/(-33))/(-22).
-7
What is (-3)/(-8) + 462/2352 + -1?
-3/7
Evaluate (224/(-7) + 34)/((-2)/(-15) + 0).
15
Calculate 390/(-707) - ((-1189)/1015 + 3/5).
2/101
What is the value of -7 - (44/15 + -3)*(3 - -100)?
-2/15
Evaluate 1/5*(-220)/(-154)*42.
12
Evaluate 1 - (2 - 18) - 9.
8
Evaluate (3*1/36)/(20/240).
1
(-6)/51*9/(-9)
2/17
(-36)/15*(-2723)/1556
21/5
What is the value of 162/1*2/18?
18
What is the value of 14 + 5412/(-209) + 12?
2/19
((-3)/(-21))/((-409)/818)
-2/7
Evaluate ((1089/(-8349))/(2/(-23)))/(-3).
-1/2
Evaluate 5 + 6 - (-16 - -16)/17.
11
Evaluate (0 - (-2)/(-8))/((-517)/1128).
6/11
(-4*-3*(-14)/(-49))/((-2)/(-1))
12/7
What is ((-27)/21)/(-4 - (85/(-10) - -3))?
-6/7
What is 1207/142 - (-2)/4?
9
What is the value of ((-9)/63*7/2)/(2/(-52))?
13
Evaluate 6/(-15) - (-678)/220 - 418/2299.
5/2
Evaluate ((-2*2)/((-350)/385))/((-4)/10).
-11
What is the value of (-6)/(-2) + 6 - ((-450)/(-126) - -6)?
-4/7
Calculate (((-15)/40)/((-18)/(-24)))/(2/(-20)).
5
What is ((-48)/72)/(540/486)?
-3/5
What is the value of (9 - (-792)/(-96))/(4/(16/(-3)))?
-1
What is 760/418*(-11)/2?
-10
What is (168/(-192) + 6/(-16))/(1/4)?
-5
Calculate (-42)/30 + 16/12*8544/4480.
8/7
What is the value of (-10 - (-17 - -11)) + 69/(-92)?
-19/4
What is the value of ((-644)/(-56) - 15/6) + -7?
2
What is the value of 85/((-1870)/(-264)) - -18?
30
What is (-1 - 68/(-72))/((-3)/4)?
2/27
Calculate (-11)/2 + 833/238.
-2
What is the value of (-7)/((-196)/12) + (-1509)/630 + 2?
1/30
What is the value of ((-25)/28)/(-5) - ((-1357)/(-92) + -16)?
10/7
What is the value of (5/(-9) + 0)*(-71 - -52)/95?
1/9
What is (8/8)/((-7)/(-98))?
14
What is 464/145*14/(-224)?
-1/5
What is the value of -2 + 4*(-8 - -18)*(-4)/(-10)?
14
What is the value of 48/(-228) - (-7888)/646?
12
2*(3/294)/(46/(-92))
-2/49
Evaluate 10054/(-8624) + (-99)/(-88).
-2/49
What is ((-1)/15)/((-6)/(-108)*(0 + -2))?
3/5
Evaluate -1*(-16)/10*117/(-936).
-1/5
What is 27081/(-1239) + 72/(-63)?
-23
((-23856)/(-2002) - 12)/(40/(-220))
6/13
28/322 - (-16)/(-184)
0
What is (-4)/(-146) - 23229/(-2117)?
11
What is the value of (37 + (-44234)/1190)*(-7)/(-3)?
-2/5
Calculate (143/(-99) - -
|
{
"pile_set_name": "DM Mathematics"
}
|
= -42.6 + 392.6. Let l = 349.8918 - d. What is l rounded to 3 dps?
-0.108
Let z = -0.4714 + -3.087. Let d = 0.4556 - z. What is d rounded to 0 decimal places?
4
Suppose -9*k + 72 = 9*k. Let z be 4/5 + (k - (-40655)/25). Round z to the nearest 100.
1600
Let k = -164009 + 164006.11932. Let q = -2.88 - k. What is q rounded to 4 dps?
0.0007
Let a = 180 - 196. Let y(t) = -153*t - 18. Let q be y(a). What is q rounded to the nearest 100?
2400
Let i = -3.208765 + 3.2271. Round i to two decimal places.
0.02
Let l be 2/3 + 2361136/12 + 7 + 7. What is l rounded to the nearest 10000?
200000
Let q = -0.265 - -90.265. Let w = 181833 - 181742.687. Let v = w - q. Round v to two dps.
0.31
Let b = -41.001 + 41. Let j = 2.201 + b. Let v = j + -2.1496. What is v rounded to two decimal places?
0.05
Let i = 540 + -539.9003. Let p = i + 0.2273. What is p rounded to two dps?
0.33
Let w(d) = 39*d + 285. Let j be w(-7). Let a be -42375*(-6)/(j/(-32)*2). What is a rounded to the nearest 100000?
-300000
Let x be (-2 - 4)/(-2) - (4 + -114941). What is x rounded to the nearest 10000?
110000
Let f = -1.47 - -1.67. Let w = 0.200000945 - f. What is w rounded to 7 dps?
0.0000009
Let l = 4138.00003093 + -4138. Round l to 6 decimal places.
0.000031
Suppose -9027 = 14*v - 5*v. Let k = 170 + v. Let i be -4 - -2*k*1. What is i rounded to the nearest one hundred?
-1700
Let w be (-3906)/(-21)*(-9275000)/21. Round w to the nearest 1000000.
-82000000
Let f = 1.2813 - 1.294678. What is f rounded to 4 decimal places?
-0.0134
Let h = -36.97 + 36.984368. Round h to two dps.
0.01
Let a = -7291.175 - -7390. Let k = -100 + a. Let d = k - -0.662. What is d rounded to two dps?
-0.51
Suppose 9*j = 10*j + 17644. Let h be (-41 - -45) + j*191. Round h to the nearest 1000000.
-3000000
Let l = 0.118 + 0.112. Let r = 0.91 - l. Let c = r + -0.680616. What is c rounded to 4 dps?
-0.0006
Suppose -3*p = -2*u - 17115982, -u - 8558012 = 5*p - 3*p. What is u rounded to the nearest one hundred thousand?
-8600000
Let v = -78 - -76.62. Let y = 184.62 - v. Let m = 187.66 - y. What is m rounded to 0 dps?
2
Let g = 435.4 + -1176.62. Round g to the nearest 10.
-740
Let s = -631 + 479. Let k = s - -152.000000321. What is k rounded to seven dps?
0.0000003
Let x(t) = 5*t + 4 + 5*t - 4643*t**2 + 4879*t**2. Let s be x(2). Round s to the nearest ten.
970
Let t = -26.8861 + 27.09. Let v = 0.2038031 - t. What is v rounded to five dps?
-0.0001
Let q = 1.16619650058 + -460.16619609658. Let w = 459 + q. What is w rounded to 7 dps?
0.0000004
Let z = 55.5 + -100. Let l = -43.996 - z. Round l to two decimal places.
0.5
Let h = -5450 + 5455. Let c(r) be the second derivative of 383*r**5/20 + r**4/3 + 5*r**3/6 + r. Let x be c(h). Round x to the nearest 10000.
50000
Suppose 0 = 2*a + 1 - 9. Suppose 0 = -5*w - a*m + 124999988, -9*w = -12*w + m + 75000003. What is w rounded to the nearest 1000000?
25000000
Let u = 306 - 305.999990732. Round u to seven dps.
0.0000093
Let f = -189.15 + 206.5116. What is f rounded to 1 decimal place?
17.4
Let o(k) = 5346*k - 698. Let b be o(-2). Round b to the nearest one thousand.
-11000
Let v = -14380.26892 + 14381. Round v to two dps.
0.73
Let a = 21.0652 + 1.6128. What is a rounded to 1 dp?
22.7
Let r = -3979 - -3721.36. Round r to zero decimal places.
-258
Let i = -1.67 - -191.97. Round i to the nearest ten.
190
Let i(v) = -525*v**3 - 9*v**2 - 76. Let k be i(-9). Round k to the nearest ten thousand.
380000
Let h = 1702.767 - -2.233. Let u = 1704.99053 - h. Round u to 3 decimal places.
-0.009
Let l(c) = c**2 + 1490. Let h = -122 - -122. Let t be l(h). Round t to the nearest 100.
1500
Let l(d) = -1620219*d**3 - 6*d**2 - 41*d - 84. Let i be l(-4). What is i rounded to the nearest 1000000?
104000000
Let i = 11 + -13. Let h(u) = -2329999*u**2 - 33*u - 70. Let v be h(i). Round v to the nearest one hundred thousand.
-9300000
Let u = 1140840979 - 653430979. What is u rounded to the nearest one million?
487000000
Let m = 488560 + -132635. Let k = m + -192725. What is k rounded to the nearest 10000?
160000
Let s = 219.972916 + 0.017084. Round s to the nearest 10.
220
Suppose 2*c - 15 = -c. Let u be -4 - (3 - 4)*10. Suppose u*t - c*t - 308 = 0. Round t to the nearest ten.
310
Let a = -149.26 - 1.74. Let i = 151.00048 + a. Round i to five decimal places.
0.00048
Let u = 12543.0000010629 - 12543. Round u to 7 decimal places.
0.0000011
Let q(s) be the second derivative of 11173*s**3/6 - 12*s**2 - 2*s + 9. Let f be q(-12). Round f to the nearest ten thousand.
-130000
Let y(h) = h**3 + 2*h**2 + 5*h + 10. Let t be y(-3). Let b be t/(-28) - (-3511998)/4. Round b to the nearest 100000.
900000
Let z = -19076019096.8003921 - -19076018271. Let l = -825.8 - z. Round l to 5 dps.
0.00039
Suppose 0 = 71*a - 85*a + 6208440. What is a rounded to the nearest one hundred thousand?
400000
Let g = -649.5414 - -14396056.5414. Let m = -14395447.000085 + g. Let o = m - -40. What is o rounded to five decimal places?
-0.00009
Suppose 0 = -4*w + w + 3*r - 249, 5*w = -5*r - 425. Let t = w - -37. Let k = 71 + t. What is k rounded to the nearest 10?
20
Let w(m) = 5845*m - 58. Let i(d) = 17534*d - 172. Let g(j) = -3*i(j) + 8*w(j). Let p be g(6). What is p rounded to the nearest ten thousand?
-40000
Let q = 125 - 125.096. Let t = -53 + 53.168. Let k = q + t. What is k rounded to two decimal places?
0.07
Let x = -0.322 - -0.46. Let t = 0.13896 - x. Round t to 4 dps.
0.001
Let w = -11.2 + 10. Let u = -0.2 - w. Let a = -0.2 - u. Round a to zero decimal places.
-1
Let i = 34686545616449 - 34686549034335.69000008. Let h = i + 3417887. Let b = 0.31 - h. Round b to 7 decimal places.
0.0000001
Let a = -307.9354 - 0.0646. Let v = 308.000001995 + a. Round v to six decimal places.
0.000002
Suppose 7476 + 10668 = 2*u + 2596. What is u rounded to the nearest one hundred?
7800
Let n(f) = -94 + 5*f + 144*f - 69*f. Let l be n(-16). What is l rounded to the nearest one hundred?
-1400
Suppose 0 = -3*x - 3*g - 21, -8*g = -9*g - 3. Let q be 33/x + 14/56. Let h be 50000*-3*-4*q/32. What is h rounded to the nearest 100000?
-200000
Let q = 134154.9999908411 - 134155. What is q rounded to 6 dps?
-0.000009
Suppose -3*b + 305*c = 312*c - 52398056, 0 = 4*b + c - 69864008. What is b rounded to the nearest one million?
17000000
Let l be (-5 - (-5 - -2))*(-3)/2. Let r(n) = -l*n**2 - 344*n**3 - 358*n**3 - 15*n - 31 + 69. Let t be r(7). What is t rounded to the nearest ten thousand?
-240000
Let z = 85476 - 85475.9951409. Round z to four decimal places.
0.0049
Let o = 37 - 20.2. Let b = -14 + o. Let q = -2.80000147 + b. What is q rounded to 7 dps?
-0.0000015
Let d = -78268.133 + 78402. Let m = -31.2 + -102.8. Let a = d + m. What is a rounded to 2 dps?
-0.13
Let j = 102447452 + -70600350. Suppose 6*u + j = -6072898. What is u rounded to the nearest one million?
-6000000
Let a = 1.1664 - 1.16648339. Round a to five dps.
-0.00008
Suppose -23*d + 75 - 29 = 0. Suppose u + 27420 - 573417 = d*k, -5*k - 1364988 = -4*u. What is k rounded to the nearest 100000?
-300000
Suppose 42 = 3*u + 3*k, 5*k - 8 - 22 = -u. Suppose -7*a + u*a + 54 = 0. Let p be (-4)/a - (-25892958)/189. Round p to the nearest ten thousand.
140000
Let g = -8.596 + 8. Let m = -549.596 - g. Let q = m + 549.00703. What is q rounded to three decimal places?
0.007
Suppose 7*v - 2*v + p = 36737, 5*p + 29378 = 4*v. Let c be 0 + (14/42)/((-1)/(-12)). Suppose -c*h = -1013 - v. What is h rounded to the nearest one hundred?
2100
Suppose -t + 2*t = 74000000. Suppose -3*b = b - t. What is b rounded to the nearest 1000000?
19000000
Let s = -5876523066 + 5876523953.9999098. Let w = -888 + s. Round w to six dps.
-0.00009
Let a = 0.2351 - 7.6811. What is a rounded to 0 dps?
-7
Let b = -306.9 - -323.482. What is b rounded to the nearest integer?
17
Suppose 2*h - 7532 = 3*z + 82490, -4*h + 8 = 0. Let b be (-18200)/(2 - z/(-15000)). Round b to the nearest one million.
46000000
Let i = 7301 - 7269.902. Let d = 3374 - 3405. Let m = i + d. Round m to one decimal place.
0.1
Let a = 544 + -1067. Let j = 522.999779 + a. Round j to four dps.
-0.0002
Suppose 14*c = 9*c - 25, -t - 2*c = 10. Let g be (t - -2) + (22390014 - 16). What is g rounded to the nearest one million?
22000000
Let h = 88037 - 58609. Round h to the nearest 1000.
290
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Let v be 0*(-2)/(-8)*-2. Let b be 4/(-16)*v + -1. Which is smaller: -2 or b?
-2
Let h = 11.11 + -0.11. Let u = 16 - h. Is u greater than or equal to -1?
True
Suppose g - 3*g + 12 = 0. Is 6 > g?
False
Suppose -7 = -p - 2*j, -p + 4 = -0*j + j. Let q = 2 + -1. Let w be q/(-21) - 10/35. Do p and w have the same value?
False
Let o be 3 + -7 + 3 + 3. Which is bigger: o or 17?
17
Let g(j) be the first derivative of -j**4/4 - 3*j**3 - 3*j**2 + 10*j - 4. Let k be g(-8). Is k greater than -6?
False
Suppose -2*b = -10*b - 8. Which is smaller: b or 1/39?
b
Let z = -0.75 - -0.35. Is -3 equal to z?
False
Let w be (-1 + (-18)/(-4))*16/7. Which is smaller: w or 6?
6
Suppose 2*b - 16 + 4 = 0. Suppose 2*h + 4 = m, -2*m - 8 = -b*m. Let t = -45 - -179/4. Is t equal to h?
False
Let h = -3.1 + -1.9. Which is bigger: h or -1?
-1
Suppose 5*v - 9 = -4*p, -v - 3*v = -2*p - 2. Suppose -4*d - 7 - v = 0. Let j = -11/2 + 5. Which is bigger: j or d?
j
Let w be (-1)/(3/(9/4)). Suppose -3*x = 2*x + 10. Which is greater: w or x?
w
Let x = -5 - -12. Let u = 40.2 + -47. Let l = u + x. Which is smaller: -1 or l?
-1
Suppose -3*h - 252 = 4*h. Which is bigger: -38 or h?
h
Suppose -8*a = -4*a + 2*u + 10, 2*a - 4*u - 20 = 0. Is 3 at least as big as a?
True
Let v be -2 + (-2)/((-6)/(-15)). Let s = -32 - -25. Is s <= v?
True
Let o(m) = m**3 - 2*m**2 - m + 2. Let q be o(3). Suppose 0 = -10*y + 40 + 30. Suppose 3*p - q = y*p. Is p greater than or equal to -2?
True
Let m = -14327/14 + 1024. Which is greater: 0 or m?
m
Let h(w) = 3*w + 1. Let g be h(-1). Let o be (g/(-84))/(71/(-398)). Let b = -2/213 + o. Which is greater: b or 0?
0
Suppose 0*w = 2*w - 10, -2*q - 3*w + 19 = 0. Suppose -3*v + 4*t - 4 = 0, -5*t = -2*v + q - 7. Let o = 4/39 - -3/13. Is v equal to o?
False
Suppose -2*l = -4*l + 60. Let u be 1*3*6/l. Which is greater: 2 or u?
2
Let n(z) be the first derivative of -z**2/2 - 3*z - 1. Let i be n(-3). Let v = i - 1. Is v <= -2?
False
Let h = 4 - 4.7. Let v = 1 + h. Is v less than or equal to 2?
True
Suppose -5*m + 20 = 5*b, 5*b + 1 = -2*m + 4*m. Let o be (-2 + 2 + 0)/m. Which is greater: -1/4 or o?
o
Let n(i) = i + 4. Let d be n(-5). Suppose -4*z + 22 = 22. Is d not equal to z?
True
Let f be 14 + -13 - 1/1. Which is smaller: -1/3 or f?
-1/3
Let q = -21/130 - 1/26. Let j = 17.1 + -18. Let b = -1 - j. Is q at most as big as b?
True
Let k = 15.67 + 0.33. Let m = k - 16. Which is greater: m or -3?
m
Let d be 87/2*16/12. Let q = 172/3 - d. Which is bigger: q or 1?
1
Let x = 0.2 - 0. Suppose -v = -d, 3*v - 8 = 4*d + 7*v. Which is bigger: x or d?
x
Let u be ((-2)/(-2))/(24/(-12)). Which is smaller: -2 or u?
-2
Let c(y) = -y - 8. Let w be c(-6). Let g be (-120)/(-28) - w/(-7). Do g and 5/2 have the same value?
False
Suppose 3*q = 4*g + 2 + 4, -5*g = 3*q + 21. Let f = 3 + g. Which is greater: f or -2/15?
f
Let g(z) = z - 3. Let h be g(4). Let c be ((-8)/42)/(6/(-7)). Which is smaller: c or h?
c
Suppose -u - 2*u = -12. Suppose 5*v + 14 = -3*r + 2*r, -2*v = -2*r - u. Let a be 4/(-10) - (-161)/(-35). Is r bigger than a?
True
Let i be ((-6)/7)/3*-7. Suppose 2*a - a = i*n + 6, 0 = 4*a - 2*n - 6. Are a and 1 nonequal?
True
Let z = 17 - 5. Suppose -2*b - 2*u - z = -6*u, 5*b + 24 = 4*u. Let l be (b/5)/(3 + -1). Is -1/4 >= l?
True
Let b = 10 - 7. Let y = b + -2.9. Which is bigger: 1 or y?
1
Suppose 0 = -0*u - 4*u - 4*o + 20, 2*u + 5 = o. Let a be ((-6)/9)/((-1)/(-3)). Let i be (-2)/1 + 4 + a. Is u > i?
False
Suppose -21*h = -22*h + 7. Are h and 8 equal?
False
Let o be (3 + 5)*(-5)/(-150). Let m = 2/15 + o. Do -1 and m have the same value?
False
Let c be ((-12)/(-8) + -2)*4. Let k be c - (-1 + -1 + 1). Is -7/6 smaller than k?
True
Let b = 42 - -16. Suppose 4*n - b + 18 = 0. Suppose -t + 2*t + n = -2*o, 3*t + 9 = o. Is t greater than or equal to -4?
True
Let w = 9/85 + 5/17. Is w smaller than -0.2?
False
Suppose 0*t = 2*t + 3*o + 31, 2*t - o + 11 = 0. Let w(m) = -m**3 - 9*m**2 - 7*m + 8. Let g be w(t). Is 2/11 >= g?
True
Let c = -2 - -11. Suppose 5*v = -2*h + 23 - c, -10 = -2*h - 3*v. Which is smaller: 3 or h?
h
Let p be (-25)/20 + (-1)/(-2). Let x be (-2)/(-3) + 10/(-6). Let g = x + 1. Which is bigger: p or g?
g
Suppose 0 = 5*u + 3*u - 248. Are 30 and u nonequal?
True
Suppose -2*x - 20 = -7*x. Suppose -32 = -x*q - 12. Suppose l = 1, q*y = 3*l + 3 - 6. Which is smaller: y or -2/11?
-2/11
Let v be 4/(-10)*4 - -2. Let p(o) = -o - 2. Let n be p(-2). Let x = 0 + n. Is x smaller than v?
True
Let o be (3/(-9))/((-2)/(-6)). Let x = 120 - 602/5. Which is smaller: x or o?
o
Let v be (6 + (-33)/8)/(6/(-40)). Which is smaller: v or -13?
-13
Let y(m) = 8 + 0 - 4 + 1 + m. Let f be y(-4). Which is smaller: -2/13 or f?
-2/13
Suppose -q = 4*q - 10. Let m = -366 + 361. Is q != m?
True
Suppose -2*d - 2*d - 4*g = 8, 4*d - 2*g + 14 = 0. Let t(h) = h**3 + 2*h**2 - h - 4. Let p be t(d). Let l be p/((-7)/((-14)/(-8))). Which is smaller: 3 or l?
l
Suppose -y = 0, -h + 3*h = -4*y - 6. Is -3 less than or equal to h?
True
Let b = 5 + -1. Let g be (-11 - -14)*b/(-78). Which is bigger: g or -1?
g
Let p = -0.34 + 15.34. Which is smaller: -0.1 or p?
-0.1
Let m = -56 - -8. Let o be (-20)/m - 1/(-4). Which is smaller: o or 0?
0
Let i be ((-8)/(-10))/(4/(-10)). Which is bigger: 2/7 or i?
2/7
Let p(a) = -a + 4. Let g be p(3). Let q(n) = n**3 - 12*n**2 + 8. Let w be q(12). Let f = -8 + w. Is g smaller than f?
False
Let h = -3.05 + 3. Let l = 0.03 + h. Let m = 1.02 + l. Is m less than or equal to 0?
False
Suppose z - 3 = -f, 3*f + 24 = 5*z - f. Suppose -2*j + 12 = 2*m, 1 = m - 4*j + 5. Is z at most as big as m?
True
Suppose -3*z - 7 = d, -d + 0*z - 11 = z. Let p(s) = s**2 + 12*s - 12. Let y be p(d). Is y at most -6/5?
False
Let p = -3 - 2. Let y = 3 + p. Is y smaller than -1/4?
True
Let s be -13 + (-7)/(28/8). Which is greater: -14 or s?
-14
Let d = 32 + -16. Suppose -x - 3*x = -2*q + d, -5 = -4*q - x. Which is smaller: q or 1?
1
Suppose 4*v = -0*v - 3*i - 6, -v - 2*i - 4 = 0. Which is greater: -9/14 or v?
v
Suppose 0*k - 3*k - 103 = -4*f, 3*f - 5*k = 80. Let g = f + -24. Is -1 at least as big as g?
False
Let r be (-14)/(-4)*4/2. Let v(k) = 2 - r*k**2 - 5*k + k**2 - 2*k**2 - 2*k - k**3. Let y be v(-7). Which is greater: 3 or y?
3
Let w be ((-3)/12)/(141/4). Let x be 861/(-1269)*(-3)/(-5). Let o = x - w. Which is smaller: o or -2/7?
o
Suppose 9 = r - v, -4*v + 30 = 10. Let i be r/44 + 1/(-2). Is 0 equal to i?
False
Let n be -1 - (2/(-2) + 0). Let v(x) = 3*x - 34. Let j be v(12). Are j and n unequal?
True
Let u = -567/8 + 71. Which is smaller: -1 or u?
-1
Let q(d) = d**3 - 4*d**2 + 4*d - 2. Suppose 2*y + 1 = -4*s + 7, 0 = -4*s + y + 15. Let l be q(s). Let c be ((-1)/(-12))/((-1)/(-2)). Which is smaller: c or l?
c
Let f = 4 - 1. Suppose -f*h = q, q + 2*q = -3*h. Is 5/4 greater than q?
True
Suppose -5*l = -3*l - 2, -l = 3*i - 1. Let d = -1 + 0. Let a be (-4 + 3)*d*1. Are i and a equal?
False
Let g = 3 - 1. Let r = -0.3 + 0.7. Let z = 0.6 + r. Is z greater than g?
False
Let f(w) = -w + 2. Let k be f(3). Let r = 9 + -8. Let m be (1/3)/((-1)/r). Is k at least m?
False
Let d = -91 + 92.85. Let x = d + 0.15. Is x > -2?
True
Suppose 0 = -6*j + 3 + 3. Which is bigger: 1/5 or j?
j
Let n be (-4)/6*3/(-24). Which is smaller: n or -1?
-1
Let x = -5.3 + 2.5. Let a = x + 2.7. Which is bigger: -26 or a?
a
Let y(x) = x**2 - 7*x - 4. Let g be y(8). Let c be ((-2)/g)/(3/2). Suppose 3*l + 1 = 2*p + 3, 4*p + 5*l + 4 = 0. Is p at most c?
True
Suppose -5*v = -0*v. Let j be 2/(-7) + 48/266. Is j at most v?
True
Suppose 10 = 3*n - 5. Suppose 4*g - n = -1. Let y = 0.1 - 0.3. Is g smaller than y?
False
Let s(v) = 3*v**2 - 3*v + v**3 - 2*v - 2 + 3*v. Let c be s(-3). Does 3 = c?
False
Let p = -6 + 4. Let s be p*2/12*1. Is s < 0?
True
Let p be (2 - 0)*(-4)/(-8). Let b = -18/17 - -160/119. Which is greater: b or p?
p
Let v be 0/2 + 2/(-2). Let d = 4 + -6. Which is smaller: d or v?
d
Let j = -7/22 + 1/2. Suppose 2*l - 3 = 3*c - 9, 7 = l + c. Let n = -3 + l. Is n at least as big as j?
False
Let y be (1/2)/((-1)/(-6)). Suppose -y*a = -a. Suppose 4*o - 16 = 2*p - 6*p, 3*p - 4*o + 9 = a. Which is bigger: p or 0?
p
Let o = -257 + 259.99. Let a = 0.1 - 0.09. Let w = a + o. Which is bigger: w or 1?
w
Let n be -1*1/3 - 119/(-561). Is 1 at most n?
False
Let f be 5/(-15)
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -4*d - 1. Calculate m*k(i) + z*y(i).
-i + 1
Let y(n) = -7*n**2 - 74*n + 3. Let h(m) = 6*m**2 + 72*m - 2. Calculate 3*h(o) + 2*y(o).
4*o**2 + 68*o
Let q(j) = 637*j**2 + 6*j + 6. Let w(t) = -5735*t**2 - 55*t - 55. Determine -55*q(s) - 6*w(s).
-625*s**2
Let b(q) = -3*q**2 + 6*q + 2. Let h(d) = 5*d**2 - 11*d - 3. Let m be 4/(-6) + (-10)/15*-7. What is m*h(k) + 7*b(k)?
-k**2 - 2*k + 2
Let y(t) = -1073*t**3 + 6*t - 6. Let v(n) = 1074*n**3 - 7*n + 7. Determine -6*v(k) - 7*y(k).
1067*k**3
Let v(l) = -11*l**3 + 25*l**2 + 2*l + 8. Let b(q) = -6*q**3 + 12*q**2 + q + 5. What is -7*b(h) + 4*v(h)?
-2*h**3 + 16*h**2 + h - 3
Let r = -9 + 6. Let t(v) = -2*v - 2. Let n(a) be the third derivative of -a**4/24 - a**3/6 + a**2 - 755*a. Give r*t(y) + 4*n(y).
2*y + 2
Let n(y) = -25284*y**2. Let s(c) = -193*c**2. Calculate -3*n(b) + 392*s(b).
196*b**2
Let d(r) = 1 - 11*r**2 - 6*r**2 + 8*r**3 + 16*r**2. Let w be d(1). Let l(c) = -14*c**3 - 8*c**2 + 8. Let v(o) = 5*o**3 + 3*o**2 - 3. Calculate w*v(p) + 3*l(p).
-2*p**3
Let h(o) = -2*o + 19. Let m(d) = -9*d + 96. Calculate 11*h(f) - 2*m(f).
-4*f + 17
Let w(l) = 28*l**3 + 13*l**2 - 65*l - 45. Let y(d) = 14*d**3 + 6*d**2 - 30*d - 22. Determine 6*w(i) - 13*y(i).
-14*i**3 + 16
Suppose -2*p + 99 = -5*p. Let h(i) = 3*i**3 - 2*i**2 + 2*i - 2. Let l(z) = -1143 + 569 + 16*z**3 - 3*z**2 + 563 - 8*z**2 + 11*z. What is p*h(j) + 6*l(j)?
-3*j**3
Let o be 49/18 - 2 - (-10)/(-45). Let m(i) be the first derivative of -5 - o*i**2 + 5*i. Let q(l) = 1. Determine m(b) - 3*q(b).
-b + 2
Suppose 3*h - 3*u = 0, -7*h - 1 = -8*h + 2*u. Let n(v) = v + 1. Let k(z) = 2*z**2 + 7*z + 2. What is h*k(p) + 4*n(p)?
-2*p**2 - 3*p + 2
Let a(h) = -h**2 - 6*h - 3. Let j be a(-5). Suppose w - 5 = -j. Let z(m) = -2*m**2 + 3. Let r(c) = -9 + 4*c**2 + 0*c**2 + 2. Calculate w*r(p) + 7*z(p).
-2*p**2
Let c(i) = 6*i + 2. Let n(u) = 0*u + 7482 - 7*u - 7485. What is 4*c(v) + 3*n(v)?
3*v - 1
Let j(y) = y**2 + 3*y. Let n be j(-4). Suppose -5*s = -6*v + 2*v + 10, 0 = -v + 5*s - 5. Let u(x) = -3*x - v*x + 8*x + x. Let z(m) = m. Give n*z(k) - 3*u(k).
k
Let f(a) = -a**2 + a - 2. Let q(o) = -26*o**3 + 6*o**2 - 6*o + 7. Give -6*f(n) - q(n).
26*n**3 + 5
Let h(x) = 342*x**3 + 228*x**2 - 228*x. Let k(s) = s**3 + s**2 - s. What is 3*h(l) - 684*k(l)?
342*l**3
Let g(x) = -5. Let p(h) = 14. Let a(t) = 11*g(t) + 4*p(t). Let i(z) = -1. Let o(n) = n + 9 + 8 - 15. Let u(s) = 6*i(s) - o(s). Calculate 6*a(b) + u(b).
-b - 2
Suppose -5*n + 56 = -n. Suppose 2*w = w - n. Let p(q) = q**2 - q + 2. Let d(s) = -5*s**2 - s**2 + 3*s**2 + 4*s - 7. Determine w*p(c) - 4*d(c).
-2*c**2 - 2*c
Let h(i) = 424*i**3 + 6*i**2 + 6*i - 6. Let s(k) = -251009*k**3 - 3553*k**2 - 3553*k + 3553. Calculate -3553*h(j) - 6*s(j).
-418*j**3
Let r = -138 - -125. Let o(l) = -5*l + 3. Let v(p) = 1 + 7 - 11*p - 2 + 0. Give r*o(z) + 6*v(z).
-z - 3
Let j be (-1)/4 - 57/(-4). Let d(l) = -4*l**2 + 7. Let c(t) be the third derivative of t**5/60 - t**3/3 + 21*t**2. Calculate j*c(a) + 4*d(a).
-2*a**2
Let v(z) = 7*z + 21. Let s(l) = 20*l + 62. What is 6*s(m) - 17*v(m)?
m + 15
Let o(p) = -6*p**3 - 3*p. Suppose 10*a = 15*a - 10. Suppose -l = -a*l. Suppose -22*x + 25*x - 15 = l. Let v(w) = -7*w**3 - 4*w. Calculate x*o(r) - 4*v(r).
-2*r**3 + r
Let z(h) = -2*h + 1. Let v(j) = 5*j - 1. Let q(m) = -6*v(m) - 14*z(m). Let l(t) = t + 2. Let n be l(3). Let i(c) = 7 - 11 + n. Give 6*i(x) + q(x).
-2*x - 2
Let a be 1/4 - (-5)/(-4). Let x(f) be the second derivative of f**3/6 - f**2/2 - 46*f. Let c(d) = d. Calculate a*x(j) + 3*c(j).
2*j + 1
Let z(j) = j + 2. Let v(i) be the first derivative of 2*i**2 + 9*i + 14. Let r be (-460)/110 + 4 + 196/(-11). Calculate r*z(n) + 4*v(n).
-2*n
Let f(j) = -9*j - 6. Let o(d) = 7*d + 7. Give 5*f(p) + 4*o(p).
-17*p - 2
Let m(s) = -7*s - 4*s + 7*s. Let i be ((-42)/(-9) + -5)/((-2)/42). Let n(u) = 3*u. What is i*n(h) + 5*m(h)?
h
Let b(a) = -29*a + 46. Let f(y) = 7*y - 11. Give -4*b(n) - 18*f(n).
-10*n + 14
Let v(s) = 13*s**2 + 3*s + 3. Let a(x) = -13*x**2 - 4*x - 4. Let j = -1303 - -1307. Determine j*v(m) + 3*a(m).
13*m**2
Let c = -9 + 13. Suppose 6*k - 36 = -270. Let v = -40 - k. Let b(a) = -a**3 + a + 1. Let j(l) = -5*l**3 + 5*l + 5. Determine c*b(u) + v*j(u).
u**3 - u - 1
Let y(x) = -x**2 + 1. Let g(h) = 2*h**2 - 2*h - 2. Calculate g(z) + 3*y(z).
-z**2 - 2*z + 1
Let s(t) = -14*t + 3. Suppose 29 = -6*c - 1. Let x(r) = -15*r - 3. Let k(a) = 7*a + 1. Let z(g) = c*k(g) - 2*x(g). Give 3*s(i) - 8*z(i).
-2*i + 1
Let n(d) = d**2 + 9*d - 20. Let f be n(-11). Suppose w - 4*v = -f*w, -w - 3*v - 13 = 0. Let z(o) = 4*o. Let j(l) = 5*l. Give w*j(x) + 6*z(x).
4*x
Let s(m) = -14*m**3 + 94*m**2 - 7*m. Let j(z) = -6*z**3 + 47*z**2 - 3*z. What is 9*j(i) - 4*s(i)?
2*i**3 + 47*i**2 + i
Let l(o) = 23*o**2 - 8*o + 6. Let s be 1 - -4 - (0 - 12). Let u(k) = -8*k**2 + 3*k - 2. Determine s*u(h) + 6*l(h).
2*h**2 + 3*h + 2
Let y(h) = 2*h - 5. Let r(b) = 5*b - 14. Suppose 0 = -j - j + s + 23, 2*j - 21 = -s. What is j*y(k) - 4*r(k)?
2*k + 1
Let w(c) be the third derivative of c**4/12 + 2*c**3/3 + 63*c**2. Let n(j) = -j - 4. Give -4*n(m) - 3*w(m).
-2*m + 4
Let v(j) = 182*j + 6. Let b(h) = -2*h + 1. Calculate 5*b(p) - v(p).
-192*p - 1
Let w(q) = 3*q**2 - 2*q + 3. Let z(n) = 4*n**2 - 2*n + 4. Let a(x) = -3*w(x) + 2*z(x). Let g(u) = -u. Calculate -a(m) - 2*g(m).
m**2 + 1
Let i(g) be the first derivative of -6*g**3 + 7*g**2/2 + g + 57. Let b(a) = 6*a**2 - 2*a. Determine 7*b(y) + 2*i(y).
6*y**2 + 2
Let g(h) = -2*h + 11. Let f(a) = a**3 + 9*a**2 + 7*a - 4. Let l be f(-8). Let n(c) = -c + 12 - 4 - l. Suppose -p - 4 = -2*p. Give p*g(z) - 11*n(z).
3*z
Suppose 2*a + 10 = 4*y, -2*a + 30 = 4*y + 8. Let i(b) = 3*b**2 - 5*b + 2. Let c(n) = -4*n**2 + 6*n - 3. What is y*c(q) + 5*i(q)?
-q**2 - q - 2
Let b(j) = -9*j**2 + 4*j + 6. Let z(n) = 8*n**2 + 99 - 3*n - 208 + 104. Suppose 2*q + 7 = 19. Determine q*z(k) + 5*b(k).
3*k**2 + 2*k
Let w(b) = -b**2 + 1. Let d(f) = 4*f**2 - 2*f - 3. Suppose 25 = -k + 26*k. What is k*d(c) + 2*w(c)?
2*c**2 - 2*c - 1
Let k(z) = z**2 - 2*z + 2. Let r(s) = -1480*s**3 + 20*s**2 - 40*s + 40. Give -20*k(y) + r(y).
-1480*y**3
Let y(o) = -20*o**3 - 3*o**2 + 17*o - 76. Let k(w) = -7*w**3 - w**2 + 6*w - 26. Give -17*k(h) + 6*y(h).
-h**3 - h**2 - 14
Let j(q) = -7*q + 1. Let a(b) = 78*b - 61. Determine 2*a(r) + 22*j(r).
2*r - 100
Let y be 1/((-5)/(1*-15)). Suppose -2*g = a - y*g, 5*a = -2*g + 28. Let q(k) = -10*k + 4. Let o(l) = 3*l - 1. Calculate a*q(h) + 14*o(h).
2*h + 2
Let j(s) = -13*s + 9. Let z(x) = 7*x - 5. Let r(p) = -52*p + 420. Let i be r(8). What is i*j(g) + 7*z(g)?
-3*g + 1
Let t(i) = -1. Let n = -1 - -2. Let m(b) = 0*b**2 + 3*b**2 - 2618316 + 2618312. Give n*m(y) - 6*t(y).
3*y**2 + 2
Let m(c) = 34*c**2 + 6. Let v(x) = 1736*x**2 + 308. Calculate -308*m(i) + 6*v(i).
-56*i**2
Let m(z) = 294*z**3 + 2*z**2 - 5*z - 5. Let g(r) = -294*r**3 - 2*r**2 + 6*r + 6. Calculate -5*g(q) - 6*m(q).
-294*q**3 - 2*q**2
Let x(o) = -7*o - 6. Let u(l) = l + 1. Suppose 9 = 3*d - 0*d. Let m be (-2*d/6)/1. Let y be 9*(3 - 33/9). Calculate m*x(k) + y*u(k).
k
Let p(x) = 2*x. Let i(j) = 3*j - 28. Give i(u) - 3*p(u).
-3*u - 28
Let n(y) = -7*y**3 - 5*y**2 - 23*y - 11. Let r(s) = -8*s**3 - 6*s**2 - 21*s - 13. Determine 6*n(g) - 5*r(g).
-2*g**3 - 33*g - 1
Let c(i) = -i**2 + 3*i - 3. Let o(s) = 2*s - 2. Let x = -1143 - -1147. Calculate x*c(l) - 6*o(l).
-4*l**2
Let k(i) = -16*i**3 + 8*i**2 - 8. Let n(h) = 5*h**3 - 3*h**2 + 3. Suppose -2*q - 3*a + 6 = 0, -10 = -4*q - 4*a + 2. Give q*k(u) + 8*n(u).
-8*u**3
Let h(o) = 14*o**2 - o. Let l(a) = -57*a**2 + 5*a + 2. Determine -9*h(s) - 2*l(s).
-12*s**2 - s - 4
Let i(h) = 10*h - 2. Let v(p) = p**2 - 30*p + 5. What is 11*i(a) + 4*v(a)?
4*a**2 - 10*a - 2
Let b(d) = -87*d**3 - 4*d**2 - 9*d + 8. Let s(t) = -86*t**3 - 3*t**2 - 7*t + 6. What is 3*b(h) - 4*s(h)?
83*h**3 + h
Let p(s) = s**2 - 6. Let j be 59/(1180/120)*2/(-6). Let h(b) = -3*b**2 + 11. What is j*h(x) - 5*p(x)?
x**2 + 8
Let o(n) = n**3 - n**2 + 2. Let l(y) = -283*y**3 + 2*y**2 - 6. Calculate -l(g) - 2*o(g).
281*g**3 + 2
Let y(b) = 5*b**2 - 5*b. Let l(v) = -v**2 - 3*v + 2. Let c(z) = z**2 + z - 1. Let j(u) = 2*c(u) + l(u). Give 4*j(x) - y(x).
-x**2 + x
Let q(b) = 36*b - 23. Let u(k) = 325*k - 210. Determine 55*q(i) - 6*u(i).
30*i - 5
Let m(a) be the second derivati
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{
"pile_set_name": "DM Mathematics"
}
|
is positive.
p**(-1715/11)
Simplify (n**(-2))**(-1/18) assuming n is positive.
n**(1/9)
Simplify (((n**(2/5)*n*n)/n)/(n**(-4)/n))/((n**7/n)/(n/n**(-3/2))) assuming n is positive.
n**(29/10)
Simplify ((g*g**(-4/3))/g)**(-20/9) assuming g is positive.
g**(80/27)
Simplify (h**(2/43)*h)**37 assuming h is positive.
h**(1665/43)
Simplify u*u**(-3)*u*u**(-4/3)*(u*u/(u*u*u**(-3)*u))/(u/(u**(-8)/u)) assuming u is positive.
u**(-31/3)
Simplify ((q*q*q**2)/(q*q/q**(-3)))**31 assuming q is positive.
q**(-31)
Simplify (r**(-2/5))**2/(r*r**(-4/7)*r/r**(-1)*r) assuming r is positive.
r**(-148/35)
Simplify (j*j*j*j**45*j)**(3/11) assuming j is positive.
j**(147/11)
Simplify (k*k*k/k**(1/9)*k*(k/k**(1/6))/k)/(k*k**0/k*k)**(-1/9) assuming k is positive.
k**(23/6)
Simplify (t**(-7)*t**(3/8))**(-24/11) assuming t is positive.
t**(159/11)
Simplify m**(-3/11)*m**(-32) assuming m is positive.
m**(-355/11)
Simplify (f/f**(-12))/(f/(f*f/(f*f/((f**(5/7)/f*f)/f)))) assuming f is positive.
f**(82/7)
Simplify (z**(-7/3)/z)/z**(-5/6) assuming z is positive.
z**(-5/2)
Simplify (a/(a*a**(-22))*a)/a**(-2/39) assuming a is positive.
a**(899/39)
Simplify (n*n/(((n*n*n*n*n*n/n**5)/n)/n*n))/n**6 assuming n is positive.
n**(-4)
Simplify (i**(-1))**(1/3)/(i**(-3/5)*i**(-5/6)) assuming i is positive.
i**(11/10)
Simplify (((d/d**(-2))/d)**(4/25))**(-3/29) assuming d is positive.
d**(-24/725)
Simplify (k**(-8/5)*k**(-1))**(-2/19) assuming k is positive.
k**(26/95)
Simplify (s/(s/s**(-2)))**(-48) assuming s is positive.
s**96
Simplify ((((o/o**(-5))/o*o*o)/o)/(o/((o/o**(-2))/o)))**26 assuming o is positive.
o**182
Simplify (s*s*s/s**(3/2)*s)**22*((s*s/s**(1/10))/s)/((s**0*s)/s*s) assuming s is positive.
s**(549/10)
Simplify (g*g**1)**23*((((g/(g*g**(-2/7))*g)/g)/g*g)/g)**20 assuming g is positive.
g**(222/7)
Simplify ((u**(3/2))**(5/12))**(-24) assuming u is positive.
u**(-15)
Simplify (j**5/j**(-3/10))/(j*j**1/j)**7 assuming j is positive.
j**(-17/10)
Simplify c**(-6)/c**0*(c**1/c)/c**(-2/5) assuming c is positive.
c**(-28/5)
Simplify (y**(-1))**(16/7)/(y/y**(-2)*y**(-1/3)) assuming y is positive.
y**(-104/21)
Simplify (((z**0/z)/z*z)/z)**18/(z/(z/z**(-9)*z*z)*z**5*z) assuming z is positive.
z**(-31)
Simplify (m*m**(-2/3))**5 assuming m is positive.
m**(5/3)
Simplify (r*r**(3/4)*r*r**10)**(-2) assuming r is positive.
r**(-51/2)
Simplify (t**(-2)*t*t**(-2))/(t**(3/8)/((t/(t*t**(-4/7)))/t)) assuming t is positive.
t**(-213/56)
Simplify k*k/k**(4/7)*k/(k/(k/(k/k**(-2/3)))*k) assuming k is positive.
k**(-5/21)
Simplify g**(-23)*g**(5/3)*g*g*g assuming g is positive.
g**(-55/3)
Simplify k/k**(-9/2)*k/k**(-11) assuming k is positive.
k**(35/2)
Simplify ((m**(-1/2))**(-2/81))**(1/4) assuming m is positive.
m**(1/324)
Simplify i**(-1/2)/i*i**(10/3)/i assuming i is positive.
i**(5/6)
Simplify (((u**(2/33)*u)/u)**(-27))**5 assuming u is positive.
u**(-90/11)
Simplify ((k*((k/(k**(-6)*k))/k)/k)/k**(1/2))/(k**(-2/13)/((k**(-1)/k)/k)) assuming k is positive.
k**(43/26)
Simplify w**(2/23)/w*w/((w/(w/w**3*w)*w*w)/w)*w*w*w**(-1/12)*w*w*w**(2/31) assuming w is positive.
w**(9139/8556)
Simplify n**(5/6)/(n**16/n) assuming n is positive.
n**(-85/6)
Simplify (k**2*k*k**4/k*k*k*k)**(-3/34) assuming k is positive.
k**(-27/34)
Simplify ((i/(i**2*i))**1)**20 assuming i is positive.
i**(-40)
Simplify ((u*u*u**(-10/9)*u*u)/(u/u**7))**(-1/58) assuming u is positive.
u**(-40/261)
Simplify (d**32)**(1/5) assuming d is positive.
d**(32/5)
Simplify (h**(1/3))**25/(h**(-5)*h**(-7)) assuming h is positive.
h**(61/3)
Simplify (d/(d*((d*d**(-16))/d)/d))/d*d*(d**(-1/2)/d)/d assuming d is positive.
d**(29/2)
Simplify (s/(s/((s/s**2)/s)))**(28/9) assuming s is positive.
s**(-56/9)
Simplify (v*v*v/v**(-18)*v)/(v*v**35) assuming v is positive.
v**(-14)
Simplify (q**(-9)/q*q*q/q**(1/5))/(q**(1/2)/q)**27 assuming q is positive.
q**(53/10)
Simplify c*c**(-1/10)*c**(-7) assuming c is positive.
c**(-61/10)
Simplify (z**(-2/9))**31*(z*z**(2/7))**21 assuming z is positive.
z**(181/9)
Simplify (l**1)**(-1)*(l/(l*l**(-7)))/(l**(1/2)/l) assuming l is positive.
l**(13/2)
Simplify (z/z**1*z*z)/z**(2/5)*z**(1/7)*z**(-4) assuming z is positive.
z**(-79/35)
Simplify (f**(-1/11))**(-13/6) assuming f is positive.
f**(13/66)
Simplify (d/(d/d**(-1/4)))/d**2 assuming d is positive.
d**(-9/4)
Simplify (m**(-2))**(-4/41)*m/m**(1/3)*m/(m*m**(2/23)) assuming m is positive.
m**(2192/2829)
Simplify (x**14*x)**(-15) assuming x is positive.
x**(-225)
Simplify d**(1/7)*d/d**(-7)*d**1/(d/((d*d/(((d*d*(d*(d*((d**(-4)*d)/d)/d)/d*d)/d)/d)/d))/d)*d) assuming d is positive.
d**(85/7)
Simplify m*m*m**(-2/27)*m*((m**17*m)/m*m)/m assuming m is positive.
m**(538/27)
Simplify (b**(-1/4)*b)**(-22)/(b/(b*b/b**(-1)))**(-2/113) assuming b is positive.
b**(-3737/226)
Simplify (c**(-2/5)/c)**(-3/8)/(c/c**1)**(-41/5) assuming c is positive.
c**(21/40)
Simplify (n*n/n**35)/n**(-30) assuming n is positive.
n**(-3)
Simplify (l*l*l*(l**(1/4)/l)/l*l*l)/(l/(l*l**(-3/14))) assuming l is positive.
l**(85/28)
Simplify (a*a**(2/5))**(-17/5)/((a*a**(-5/7))/a**(-10)) assuming a is positive.
a**(-2633/175)
Simplify (w**1)**(1/19)*w**6/((w/((w*w**(-2/3)*w)/w))/w) assuming w is positive.
w**(364/57)
Simplify (a*a**(2/7)/a*a**(1/15))**(-7/9) assuming a is positive.
a**(-37/135)
Simplify (z**10*z*z**(-2)*z)/(z**(-7)/((z/(z/(z**(-2/7)*z)))/z)) assuming z is positive.
z**(117/7)
Simplify (d**0)**(-3/8) assuming d is positive.
1
Simplify (t**(2/3)*t)**(-1/22)*t*t**(3/7)*t**(2/5) assuming t is positive.
t**(4049/2310)
Simplify ((r**0/r)/r)**13*r**(4/7)/(r*r**(1/5)/r) assuming r is positive.
r**(-897/35)
Simplify ((b**(-7))**(11/6))**(16/9) assuming b is positive.
b**(-616/27)
Simplify (x*x*x/(x*x**(3/4)/x))/(x/(x**(-2/13)*x)) assuming x is positive.
x**(109/52)
Simplify (q/q**(-42))/(q*q**25/q) assuming q is positive.
q**18
Simplify h/(h*h*(h*h/h**15)/h)*h*h*(h/(h**30*h))/h assuming h is positive.
h**(-16)
Simplify (z**(14/9))**31 assuming z is positive.
z**(434/9)
Simplify (l/(l**(1/2)/l)*l**2)/(((l/(l/l**1))/l)/l)**(-2/63) assuming l is positive.
l**(437/126)
Simplify (l/l**0)**(-2/59)/(l**2/l*l*(l*l/(l**(-3/10)*l))/l) assuming l is positive.
l**(-1377/590)
Simplify (y**(-4/9)*(y*y**(2/5)*y)/y)/((((y*y/y**(-5)*y*y)/y)/y)/(y*y/(y/y**(2/5)))) assuming y is positive.
y**(-209/45)
Simplify (x**1/x)**(-9/8)/(x/x**3*x**(-1/2)) assuming x is positive.
x**(5/2)
Simplify (l**(-6)/l*l**0)/(l**(-3/4)/(l*l/l**(2/9))) assuming l is positive.
l**(-161/36)
Simplify (f/(f*f**8*f*f)*f**2)**(6/7) assuming f is positive.
f**(-48/7)
Simplify (((j*j**(-5))/j)/(j/j**8*j))/((j/(j*j*j/(j*j**(-2/3)/j)))/(j**6/j)) assuming j is positive.
j**(26/3)
Simplify (q**(-2/3))**20/((q**9*q)/q**0) assuming q is positive.
q**(-70/3)
Simplify (a/a**(-6))/(a*a**(2/9)) assuming a is positive.
a**(52/9)
Simplify (k/k**0)**21*(k*k/k**(-1/2)*k*k)**(2/61) assuming k is positive.
k**(1290/61)
Simplify (p/(p/p**(-3/5))*p)/((p*p**(-2/67))/p) assuming p is positive.
p**(144/335)
Simplify (t**(1/5)/(t/(t*t*t/t**(3/4))))/(t**(2/3)*t**(1/2)) assuming t is positive.
t**(17/60)
Simplify (z**(-8)*z/z**(1/4))/(z/z**(-6)*z**(1/3)) assuming z is positive.
z**(-175/12)
Simplify z**(-6)/(z/((z*z**(1/17))/z)) assuming z is positive.
z**(-118/17)
Simplify ((x/(x*x**9))/x**(-4/3))/(x*x**2)**(-12) assuming x is positive.
x**(85/3)
Simplify (a**1/(a*a*((a/(a/(a*a/(a/(a*a**1/a)*a)*a*a*a)))/a*a)/a*a))/((a*(a**(6/7)*a*a)/a)/((a/(a*a**7))/a)) assuming a is positive.
a**(-111/7)
Simplify (k**3*k**3)/(k/k**(-3/2)*k**(1/3)) assuming k is positive.
k**(19/6)
Simplify (x**(-1)/x*x)**(9/4)*x**8/x*x/x**(2/29) assuming x is positive.
x**(659/116)
Simplify ((o/(o**1/o))/o)**(-20)/(o**1/o)**(-27) assuming o is positive.
1
Simplify ((b**(-1/3)*b)/(b/b**6))**(-42) assuming b is positive.
b**(-238)
Simplify b**(2/29)*b*(b*b**(1/45)*b*b)/b*b assuming b is positive.
b**(5339/1305)
Simplify u*u/u**(2/5)*u*u/(u/(u*u**(-6)*u*u)) assuming u is positive.
u**(-2/5)
Simplify (v**(-12/11)*v)/v**(-17) assuming v is positive.
v**(186/11)
Simplify (z/(z*z**3))/z**(-19/5) assuming z is positive.
z**(4/5)
Simplify (m*m**(3/13))/m*m/(m**(8/3)/m)*m assuming m is positive.
m**(22/39)
Simplify ((m**(-2)/m)/(m/(m*m**(-1/4))))/(m**(-1)/m**(-4)) assuming m is positive.
m**(-25/4)
Sim
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{
"pile_set_name": "DM Mathematics"
}
|
13*g**6/210 - 18*g**5/35 - 46*g**4/21 - 16*g**3/3 - 559*g**2. What is m in t(m) = 0?
-7, -2
Factor 3/4*b**3 - 57/4*b - 21/2 - 3*b**2.
3*(b - 7)*(b + 1)*(b + 2)/4
Factor -14/3*c**4 - 8/3*c - 10*c**3 - 26/3*c**2 + 0 - 2/3*c**5.
-2*c*(c + 1)**3*(c + 4)/3
Factor 2/7*b**3 - 6/7*b**2 + 16/7 - 12/7*b.
2*(b - 4)*(b - 1)*(b + 2)/7
Let n = 70/39 - 178/273. Let c(l) be the second derivative of -28/5*l**6 - 219/20*l**5 - 43/4*l**4 + 11*l + 0 - n*l**7 - 11/2*l**3 - 3/2*l**2. Factor c(h).
-3*(h + 1)**3*(4*h + 1)**2
Let j(g) = -8*g**2 - 107*g - 114. Let u(l) = 39*l**2 + 534*l + 567. Let d(h) = 24*j(h) + 5*u(h). Find q such that d(q) = 0.
-33, -1
Find b, given that -1161 - 1151 + 2312 + 3*b**4 = 0.
0
Let d(s) be the second derivative of s**7/5040 - s**6/360 + s**5/60 - 13*s**4/12 - 11*s. Let h(z) be the third derivative of d(z). Solve h(i) = 0 for i.
2
Let j = 45 - 18. What is x in -6*x + 15*x**4 - 27*x**5 - j*x**3 + 0*x + 24*x**5 + 21*x**2 = 0?
0, 1, 2
Suppose 3*l - 7 + 1 = 0. Suppose -3*r = -8*r + 15, -24 = -2*b + 2*r. Factor -5*p**2 + b*p**4 - 12*p**3 + 3*p**5 - 9*p**5 + 8*p**l.
-3*p**2*(p - 1)**2*(2*p - 1)
Suppose 3*x + z + 2*z + 9 = 0, 2*z = 4*x + 6. Let s be x/(3 - 1)*-3. Determine l so that 18*l**3 - 30*l**3 + 5*l**2 + 19*l**s - 2*l = 0.
-1, 0, 2/7
Suppose 4*m - 4*d = 12, -4*m - 17 = -8*m - d. Let s(z) be the third derivative of -1/12*z**m + 0 + 0*z + 5*z**2 + 2/9*z**3 + 1/90*z**5. Factor s(f).
2*(f - 2)*(f - 1)/3
Find z, given that -12/5*z**4 - 2/5*z**5 + 22/5*z + 12/5 - 4*z**3 + 0*z**2 = 0.
-3, -2, -1, 1
Let h(q) be the second derivative of 5*q**4/12 + 65*q**3/6 + 55*q**2 - 12*q + 7. Factor h(k).
5*(k + 2)*(k + 11)
Factor -164/7*u - 12/7*u**2 + 8.
-4*(u + 14)*(3*u - 1)/7
Suppose -5*u + 5*i - 10 = 0, -710*u - i + 2 = -705*u. Let 0*q - 1/8*q**4 + u*q**3 + 1/4*q**2 - 1/8 = 0. Calculate q.
-1, 1
Let w(f) be the second derivative of -f**6/30 + 13*f**5/80 - f**4/16 - 93*f. Find u such that w(u) = 0.
0, 1/4, 3
Let j(s) be the third derivative of 3/70*s**7 + 0 - 26*s**2 + 1/6*s**4 + 1/5*s**5 - 5/24*s**6 + 0*s**3 + 0*s. Let j(p) = 0. What is p?
-2/9, 0, 1, 2
Let h(b) = -b - 1. Let u(t) = -4*t**2 + 282*t + 286. Let c(o) = 2*h(o) - u(o). Factor c(p).
4*(p - 72)*(p + 1)
Suppose 3*d - 153 = -144. Let j(w) = w + 12. Let i be j(-10). Factor -3*n**d + 3*n**4 + 6*n**3 + 2*n**i + 6*n**3 - 4*n**3.
n**2*(n + 1)*(3*n + 2)
Let y = 43 + -38. Factor -y*p + 16*p**4 + 2 - 31*p**4 - 2 - 25*p**2 - 35*p**3.
-5*p*(p + 1)**2*(3*p + 1)
Let t(c) be the first derivative of 11*c**3/4 - 105*c**2/8 + 9*c/2 + 23. Find n such that t(n) = 0.
2/11, 3
Let z(o) be the second derivative of 1/3*o**3 + o**2 - 35*o + 0 - 13/24*o**4 + 1/8*o**5. Solve z(u) = 0 for u.
-2/5, 1, 2
Let m(x) be the first derivative of -3*x**5/20 + x**4/4 - 18*x + 21. Let b(i) be the first derivative of m(i). Factor b(r).
-3*r**2*(r - 1)
Let o(s) be the third derivative of -s**7/1260 + s**5/45 - 4*s**3/9 + 42*s**2 + s. Factor o(f).
-(f - 2)**2*(f + 2)**2/6
Let a(h) be the third derivative of h**6/360 + h**5/20 + 23*h**4/72 + 5*h**3/6 - 200*h**2. Suppose a(r) = 0. What is r?
-5, -3, -1
Solve 8*h - 1/2*h**3 - 1/2*h**2 + 8 = 0.
-4, -1, 4
Let a be 62*((-25)/(-10) + -3). Let l be (a/(-9) - 2) + -1. Suppose -4/9 + 14/9*j + l*j**4 - 2/9*j**3 - 4/3*j**2 = 0. What is j?
-2, 1/2, 1
Let i = 56231/20 - 2811. Let t(l) be the first derivative of 1/8*l**2 + i*l**5 + 1/2*l**3 - 7/8*l**4 - 1 - 1/4*l - 1/8*l**6. Factor t(h).
-(h - 1)**4*(3*h + 1)/4
Factor -8*z**2 + 10 - 2*z**3 + 3*z**3 - 2 - z.
(z - 8)*(z - 1)*(z + 1)
Let t = -137 - -2467/18. Let g(s) be the second derivative of 0 - 4*s - t*s**3 + 0*s**2 + 1/36*s**4. Let g(o) = 0. What is o?
0, 1
Let a(o) be the third derivative of -o**5/60 - o**4/8 + 14*o**3/3 + 133*o**2. Factor a(y).
-(y - 4)*(y + 7)
Factor -15*q**2 - 2523 + 29*q**2 - 17*q**2 + 174*q.
-3*(q - 29)**2
Let w(q) be the first derivative of -q**6/135 + q**5/30 + 8*q - 14. Let l(b) be the first derivative of w(b). Factor l(f).
-2*f**3*(f - 3)/9
Suppose -3*n = -12*n + 72. Suppose -2*y = 2*k - 8, -2*k - n + 1 = -3*y. Suppose 8/7 + 16/7*u + 10/7*u**2 + 2/7*u**y = 0. Calculate u.
-2, -1
Suppose 0*i + g = 5*i - 30, 3*g = -15. Let q be 5 - 24/i - 6/(-70). Determine n, given that 0*n**2 - q*n**3 + 0 + 2/7*n = 0.
-1, 0, 1
Let x = 22 - 10. Factor 10 + 25*k**2 - 21*k - x*k + 68*k.
5*(k + 1)*(5*k + 2)
Suppose 675*c - 364*c + 64 = 343*c. Factor -15 + 5/2*h**c + 5/2*h.
5*(h - 2)*(h + 3)/2
Let h(g) be the second derivative of 1/5*g**5 + 3/35*g**7 + 1/5*g**4 - 1/5*g**2 + 0 + 11*g - 7/25*g**6 - 1/5*g**3. Solve h(k) = 0 for k.
-1/3, 1
Let f = -48083/4 - -12023. Factor f*z - 3/4*z**2 + 3.
-3*(z - 4)*(z + 1)/4
Let n(p) = p**3 + 28*p**2 + 27*p + 3. Let s be n(-27). Let d(w) be the first derivative of 3/4*w**4 + s*w + 5 - w**3 - 3/2*w**2. What is t in d(t) = 0?
-1, 1
Let x be 1 - -1*8/(-10). Let t be (63/84)/((-15)/(-12)). Solve -t*k**3 - 1/5*k**4 - x*k + 0 - 3/5*k**2 = 0.
-1, 0
Let f(w) = 0*w - w**2 - 5 + 3 - 5*w. Let r be f(-3). Solve 6*o**2 - 3*o**2 + 4*o**3 - o**3 - 6*o**3 + 3*o - 3*o**r = 0 for o.
-1, 0, 1
Let f(u) be the second derivative of 0*u**3 + 0*u**4 + 0 - 1/200*u**5 + 0*u**2 - 14*u. Determine q so that f(q) = 0.
0
Suppose -336 = 6*o + 696. Let v = o + 1206/7. Determine n, given that -50/7 - v*n**2 - 20/7*n = 0.
-5
Let f(i) be the first derivative of i**4/26 + 32*i**3/39 + 77*i**2/13 + 196*i/13 + 143. Factor f(a).
2*(a + 2)*(a + 7)**2/13
Let a(s) be the third derivative of -s**7/140 + s**6/10 - s**5/8 - 25*s**4/8 - 66*s**2. Solve a(u) = 0.
-2, 0, 5
Determine d so that 1280 - 160*d**2 - 13024*d**4 + 4*d + 13029*d**4 - 4*d = 0.
-4, 4
Factor 493 + 493 + 491 - 1469 - 28*r - 16*r**2.
-4*(r + 2)*(4*r - 1)
Suppose 29*z - 78 - 67 = 0. Let d(a) be the first derivative of a**2 - 8/3*a**3 + z + 3*a**4 + 1/3*a**6 + 0*a - 8/5*a**5. Suppose d(n) = 0. Calculate n.
0, 1
Factor 22*x + 28*x - 63*x + x**3 + 5*x**2 + 7.
(x - 1)**2*(x + 7)
Factor -41*n**2 + 12 + 34*n - 6*n**2 + 78 + n + 5*n**3 - 3*n**2.
5*(n - 9)*(n - 2)*(n + 1)
Let b(p) = -7*p**5 - 6*p**4 - 10*p**3 - 8*p**2 - 15*p - 2. Let r(v) = -v**5 - v**4 - v**3 - v. Let y(i) = -3*b(i) + 24*r(i). Determine h so that y(h) = 0.
-1, 2
Let z = -5046 + 5050. Factor -32*m - 64/3 - 4/3*m**z - 4/3*m**2 + 8*m**3.
-4*(m - 4)**2*(m + 1)**2/3
Let r(p) be the first derivative of -p**7/315 + p**6/225 + p**5/150 - p**4/90 + 5*p + 2. Let u(x) be the first derivative of r(x). Factor u(v).
-2*v**2*(v - 1)**2*(v + 1)/15
Let b(r) be the first derivative of -r**5/25 - 3*r**4/20 + 2*r**3/15 + 6*r**2/5 + 8*r/5 - 6. Factor b(p).
-(p - 2)*(p + 1)*(p + 2)**2/5
Let u = -5003 + 5003. Solve 0*a - 2/7*a**3 + u + 0*a**2 = 0.
0
Solve -1/10*p**4 - 3/10*p**2 + 2/5*p - 2/5*p**3 + 2/5 = 0.
-2, -1, 1
Let y(q) = -7*q**2 + 432*q - 11655. Let a(x) = 20*x**2 - 1296*x + 34968. Let k(o) = -3*a(o) - 8*y(o). Suppose k(j) = 0. What is j?
54
Let c(h) = -3*h**4 + 51*h**3 + 94*h**2 - 4. Let r(z) = 7*z**4 - 154*z**3 - 281*z**2 + 11. Let p(g) = 11*c(g) + 4*r(g). Suppose p(x) = 0. Calculate x.
-9, -2, 0
Suppose r - 5 = -2*i, -6*r + r - i = -16. Find g such that 14*g**r - 13*g**3 - 13*g**3 - 8*g**5 + 2*g**2 + 18*g**4 = 0.
0, 1/4, 1
Let r(f) be the first derivative of 7/20*f**5 + 0*f**3 + 0*f + 1/4*f**4 - f**2 + 1. Let q(l) be the second derivative of r(l). Factor q(s).
3*s*(7*s + 2)
What is q in -152*q**3 + 19*q**2 - 175*q**2 + 48*q**5 - 16*q - 5*q**4 + 10*q**4 + 16 + 15*q**4 = 0?
-1, -2/3, 1/4, 2
Let n be (-2 - (0 + 0))/(80/840*-7). Factor -p + 0*p**2 + 1/3*p**n + 2/3.
(p - 1)**2*(p + 2)/3
Suppose 5*f - 4*m - 14 = 8, 0 = -3*f + 4*m + 10. Find k, given that -k**3 + 21*k + 16*k**3 - 6 - f*k**2 + 18*k**4 - 21*k**2 - 21*k**4 = 0.
1, 2
Let m(n) = -30*n**4 + 16*n**3 - 10*n**2 - 6*n. Let a(k) = 90*k**4 - 49*k**3 + 29*k**2 + 17*k. Let i(g) = 6*a(g) + 17*m(g). Determine q, given that i(q) = 0.
0, 1/3, 2/5
Let m(u) be the first derivative of -8/7*u**2 + 8 + 32/7*u + 2/21*u**3. Let m(y) = 0. Calculate y.
4
What is y in -4/13*y**2 + 4/13 + 2/13*y - 2/13*y**3 = 0?
-2, -1, 1
Suppose -2*w - 4 = 2*u, -5*u - 4*w + 2*w = -2. Find b, given that -106*b - b**3 - u + 210*b - 101*b + 0 = 0.
-2, 1
Suppose -2*x = 2*s - 6, -3*x = -2*s - 3 - 11. Determine u, given that -104*u**3 - 288*u**2 + 108 + 5*u**x + 0*u**4 + u**4 - 216*u - 18*u**4 = 0.
-3, 1/3
Let 8/3*x**3 + 4/3*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
d - 117946. Give t(-3).
-187
Let f(z) = 50*z - 67. Calculate f(1).
-17
Let s(b) = -39051*b + 78103. What is s(2)?
1
Let w(j) = -15*j**3 + 1484*j**2 + 1611*j - 1101. Determine w(100).
-1
Let s(c) = -c**3 - 4*c**2 + c - 382. Determine s(0).
-382
Let p(w) = -466*w**2 + 1311*w - 1314. Calculate p(1).
-469
Let f(d) = 334769*d - 669536. Give f(2).
2
Let t(f) = -f**3 - 65*f**2 - 704*f + 482. Give t(-51).
-28
Let b(m) = 4*m**3 - 38*m**2 + 108*m - 95. What is b(3)?
-5
Let d(h) = -2*h**3 + 28*h**2 - 444*h + 5637. What is d(13)?
203
Let c(l) = 281*l**2 + 18*l + 8. Give c(1).
307
Let q(i) = i**3 + 88*i**2 + 1132*i - 27920. Determine q(-37).
15
Let z(o) = -8*o**2 - 1447*o - 5478. What is z(-177)?
9
Let g(q) = -q**2 + 158054*q + 1422570. Determine g(-9).
3
Let j(f) = -8*f**3 - 3*f**2 - 88*f + 178. Determine j(2).
-74
Let n(f) = f**3 - 58*f**2 + 4*f - 4334. Determine n(59).
-617
Let j(f) = 243*f**2 - 5606*f + 144. Determine j(23).
-247
Let r(f) = -71*f + 5208. Determine r(76).
-188
Let o(f) = -180*f**3 + 1097*f**2 - 2*f - 29. Give o(6).
571
Let r(t) = -t**3 + 15*t**2 + 441*t + 310. Determine r(-14).
-180
Let n(r) = 11*r - 2422. Calculate n(69).
-1663
Let l(p) = p**3 - 647*p**2 + 2399*p - 300750. What is l(644)?
-2
Let d(b) = -616*b + 129992. Give d(211).
16
Let j(v) = 6259*v + 18735. Calculate j(-3).
-42
Let d(v) = -v**2 - 269*v + 45260. Give d(117).
98
Let m(p) = 31*p**3 - 41*p**2 - 294*p + 299. Give m(1).
-5
Let l(a) = -6*a**2 + 1815*a - 92635. Determine l(65).
-10
Let n(w) = -w**3 + 10*w**2 + 29947*w - 299470. Calculate n(10).
0
Let a(y) = 42497*y - 68930140. Give a(1622).
-6
Let h(b) = -b**3 - 61*b**2 - 353*b - 30084. What is h(-63)?
93
Let w(l) = 19304*l - 57915. What is w(3)?
-3
Let b(k) = 11*k**2 - 43*k - 312. What is b(-6)?
342
Let b(d) = -236*d**2 + 65378*d - 1661. What is b(277)?
1
Let n(v) = -v**3 + 189*v**2 + 109*v + 15421. Calculate n(190).
31
Let b(l) = -2*l**3 + 31*l**2 + 66*l - 896. Calculate b(14).
616
Let a(r) = r**3 - 153*r**2 + 355*r - 7962. What is a(151)?
41
Let l(w) = 800664*w + 9607928. Give l(-12).
-40
Let u(p) = p**3 - 763*p**2 - 65590*p + 147. Determine u(-78).
-477
Let d(b) = 1204*b + 66212. What is d(-55)?
-8
Let n(p) = 1206*p**2 + 24121*p + 29. Determine n(-20).
9
Let o(a) = 787*a**2 - 702*a - 697. Give o(-1).
792
Let o(i) = -3*i**3 - 61*i**2 + 57*i - 149. Give o(-21).
-464
Let c(b) = -26*b**3 + 1716*b**2 - 137*b + 9021. Calculate c(66).
-21
Let r(b) = -b**3 + 26*b**2 - 118*b + 124. Calculate r(3).
-23
Let n(t) = -t**3 - 66*t**2 - 1029*t + 136. What is n(-25)?
236
Let b(s) = s**2 - 396*s + 18506. What is b(51)?
911
Let h(o) = -37014*o - 74045. Calculate h(-2).
-17
Let p(w) = -7*w**3 + 1967*w**2 - 1972*w + 3259. What is p(280)?
-101
Let b(x) = -2*x**3 - 8*x**2 - 266*x - 1093. What is b(-4)?
-29
Let b(w) = 27*w**3 - 7*w**2 + 108*w + 251. Determine b(-2).
-209
Let i(w) = -4*w**2 + 966*w - 5635. What is i(6)?
17
Let n(h) = -371*h**2 - 36*h + 36. Calculate n(1).
-371
Let r(d) = 8*d**2 - 630*d - 638. What is r(78)?
-1106
Let g(f) = -15363*f - 6544612. Determine g(-426).
26
Let m(i) = -2*i**3 + 16*i**2 + 63*i + 873. Give m(13).
2
Let r(u) = -5*u**3 - 24*u**2 - 12*u. Give r(-8).
1120
Let s(u) = -7116*u + 10382239. Determine s(1459).
-5
Let w(x) = x**2 - 23*x - 11033. What is w(116)?
-245
Let i(x) = x**2 + 1293*x - 7738. Calculate i(6).
56
Let l(y) = -6920*y - 1169537. Calculate l(-169).
-57
Let o(n) = 283*n**2 - 16133*n + 117. What is o(57)?
3
Let l(y) = y**2 - 1596*y + 167518. What is l(113)?
-61
Let m(n) = n**3 + 486*n**2 - 1511*n - 21512. Calculate m(-489).
4
Let a(y) = -15*y**2 + 233*y - 915. What is a(13)?
-421
Let q(p) = -p**3 - 12*p**2 - 69*p + 2. Determine q(-13).
1068
Let l(x) = 4*x**3 - 52*x**2 - 164*x + 2755. Determine l(9).
-17
Let f(t) = 14*t**3 + 1753*t**2 + 381*t + 558. Calculate f(-125).
-192
Let c(i) = -1390*i - 11248. Give c(-8).
-128
Let o(a) = -a**3 - 8*a**2 + 12172*a + 48757. What is o(-4)?
5
Let f(q) = q**3 + 6*q**2 + 3283*q + 9829. Calculate f(-3).
7
Let a(k) = 869*k**3 + 3482*k**2 + 62*k + 168. Calculate a(-4).
16
Let k(x) = -121523*x + 972174. Give k(8).
-10
Let a(f) = 163800*f - 163829. What is a(1)?
-29
Let n(b) = b**3 - 789*b**2 + 7848*b - 45184. Calculate n(779).
-2
Let o(d) = -d**3 - 20*d**2 + 53*d - 88. Determine o(-25).
1712
Let c(z) = -2*z**3 - 66*z**2 + 150*z + 2764. What is c(-34)?
-24
Let m(o) = o**3 + 13*o**2 + 646*o + 8404. Give m(-13).
6
Let d(x) = 18*x**3 + 33*x**2 - 95*x - 3. Determine d(3).
495
Let b(r) = -r**2 + 3209*r - 38070. Give b(12).
294
Let c(d) = -5*d**3 + 5128*d**2 + 1761*d + 298599. Give c(1026).
33
Let s(a) = 7*a**3 - 265*a**2 - 80*a + 1899. Calculate s(38).
303
Let m(z) = 5*z**2 - 167*z - 2322. Give m(44).
10
Let d(w) = 105*w + 587. Determine d(-12).
-673
Let u(c) = c**3 - 20*c**2 - 175*c + 4129. What is u(20)?
629
Let r(h) = -4*h**3 - 1275*h**2 + 1576*h - 7568. Determine r(-320).
112
Let x(m) = -18*m**2 - 6089*m + 16654. Give x(-341).
-55
Let j(q) = 2*q**2 + 198*q + 2013. Determine j(-10).
233
Let n(p) = -212*p - 11926. Determine n(-57).
158
Let w(k) = -42853*k + 5013803. Calculate w(117).
2
Let k(c) = -9*c + 114. Give k(-14).
240
Let o(n) = -n**3 - 304*n**2 - 2394*n - 6914. Give o(-296).
782
Let o(k) = -3*k**3 - 1001*k**2 - 648*k + 6041. Calculate o(-333).
47
Let m(g) = -g**3 + 4249*g + 10. Calculate m(0).
10
Let p(h) = 3*h**2 - 75625*h + 680393. Give p(9).
11
Let t(u) = 2*u**3 + 1029*u**2 + 1657*u + 60500. What is t(-513)?
-34
Let f(m) = 6*m**2 + 934*m - 2843. Determine f(3).
13
Let l(q) = -q**2 - 1368032*q + 5472147. Give l(4).
3
Let a(g) = g**2 + 231*g + 224. Calculate a(-5).
-906
Let f(p) = 79879*p + 559173. Give f(-7).
20
Let l(b) = 3*b**2 - 315*b - 1969. What is l(-6)?
29
Let k(j) = -2238*j**2 - 12004*j - 15. What is k(-5)?
4055
Let o(d) = 8*d**2 - 23*d + 199. Give o(6).
349
Let u(a) = a**3 - 45*a**2 - 352*a - 3817. Determine u(53).
-1
Let k(x) = -28*x**2 - 395*x - 27. Determine k(-5).
1248
Let i(b) = -b**3 + 95*b**2 - 1546*b + 1901. Determine i(19).
-37
Let i(o) = -o**3 - 52*o**2 - 505*o - 2210. Give i(-41).
4
Let u(i) = 17*i**3 - 7*i**2 + 4*i + 18. What is u(0)?
18
Let y(c) = -3*c**2 + 23*c + 13351. Determine y(-63).
-5
Let r(s) = -s**2 - 1722*s - 39087. What is r(-23)?
-10
Let n(l) = 23*l + 2437. Calculate n(-108).
-47
Let d(z) = -14960*z - 194476. What is d(-13)?
4
Let r(q) = -44*q**2 + 31588*q - 187948. Determine r(6).
-4
Let w(i) = 269*i**2 + 812*i - 2. Determine w(-3).
-17
Let j(p) = 358*p**2 - 96*p + 10. Give j(-2).
1634
Let o(r) = -3*r**2 + 281*r - 5750. Calculate o(64).
-54
Let r(i) = -2*i**2 - 90*i + 4527. What is r(31)?
-185
Let k(w) = -112087*w + 672512. Give k(6).
-10
Let u(o) = 3*o**3 + 35*o**2 - 202*o + 45. Determine u(-16).
-51
Let f(p) = p**2 - 6434*p - 753142. Give f(-115).
-7
Let g(y) = -y**2 + 549*y + 3918. Calculate g(-7).
26
Let b(y) = 146*y + 1313. Give b(4).
1897
Let i(m) = -4422*m**2 + 70716*m - 40. Give i(16).
-616
Let n(t) = -9*t**2 - 553*t + 2210. Give n(4).
-146
Let i(c) = 88939*c + 88940. What is i(-1)?
1
Let a(f) = -585*f**2 - 8185*f + 89. Give a(-14).
19
Let s(u) = -u**3 + 220*u**2 + 2800*u - 3656. Calculate s(232).
56
Let q(v) = -643*v**2 - 17352*v + 235. What is q(-27)?
-8
Let f(o) = 18*o**2 + 544*o - 90. Determine f(-34).
2222
Let k(f) = 47*f**3 - 2*f**2 + 164*f - 335. Calculate k(2).
361
Let s(b) = 845*b - 1510. What is s(2)?
180
Let p(k) = 13561*k + 40670. Calculate p(-3).
-13
Let u(t) = 18*t**2 + 47*t - 1011. Determine u(-8).
-235
Let f(c) = -1264*c - 11338. Give f(-7).
-2490
Let z(l) = -6*l**2 + 720*l - 5938. What is z(9)?
56
Let t(s) = 2768*s - 29618. Determine t(11).
830
Let q(u) = -u**3 + 143*u**2 + 5418*u + 769. Calculate q(-31).
25
Let k(l) = 8*l**2 + 8944*l + 71238. Give k(-8).
198
Let u(h) = -2*h**3 - 234*h**2 - 1332*h - 12. Calculate u(-111).
-12
Let j(y) = -y**3 - 2*y**2 + 7740*y + 204. Give j(87).
-57
Let d(m) = -m**3 + 12*m**2 + 304*m + 86. Determine d(24).
470
Let t(w) = -w**3 - 103*w**2 - 1335*w - 2156. Determine t(-13).
-11
Let h(c) = -4754*c + 14327. Give h(3).
65
Let j(t) = -t**3 + 60*t**2 + 248*t + 227. Give j(64).
-285
Let b(n) = n**2 + 5709*n - 253127. Calculate b(44).
5
Let b(d) = -d**3 - 69*d**2 - 311*d + 7623. Calculate b(-62).
-3
Let s(i) = -2*i**2 + 5976*i - 747. Determine s(0).
-747
Let f(l) = -482*l - 723
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose h(o) = 0. Calculate o.
-1, 0, 1, 39
Let v(h) be the second derivative of h**6/30 + 2*h**5/15 - h**4/6 - 4*h**3/3 + 26*h**2 + 23*h. Let s(d) be the first derivative of v(d). Factor s(q).
4*(q - 1)*(q + 1)*(q + 2)
Factor 8/23*o**2 + 2/23*o**3 + 0 - 42/23*o.
2*o*(o - 3)*(o + 7)/23
Let m(w) be the third derivative of 1/300*w**5 - 1/5*w**3 + 12*w**2 + 0*w + 0 + 1/120*w**4. Let m(r) = 0. What is r?
-3, 2
Let s(t) be the first derivative of -12*t**5/5 + 177*t**4/4 - 77*t**3 - 537*t**2/2 - 117*t + 494. Let s(c) = 0. Calculate c.
-1, -1/4, 3, 13
Let f(j) = 10*j**2 + 1736*j + 82810. Let v(g) = -5*g**2 - 874*g - 41405. Let d(c) = -3*f(c) - 7*v(c). Suppose d(s) = 0. Calculate s.
-91
Let z(p) = 31*p**3 - 3*p**2 - 4*p - 1. Let q be z(-1). Let g = -30 - q. Factor g - 4/3*h + 1/3*h**2.
(h - 3)*(h - 1)/3
Let b(t) = t + 43. Let j be b(-43). Factor 1/6*z**2 + j*z - 2/3.
(z - 2)*(z + 2)/6
Let c(u) be the first derivative of -u**3 + 3*u**2/2 + 36*u + 93. Solve c(y) = 0 for y.
-3, 4
Let h be (3/(-4))/(33/(-616)). Let r be 360/819 - (4/h + 0). Factor 0 + 0*x + 4/13*x**3 - r*x**2 - 2/13*x**4.
-2*x**2*(x - 1)**2/13
Let 6/5*g - 4/5 - 2/5*g**2 = 0. What is g?
1, 2
Let m(h) be the first derivative of 1/20*h**4 + 1/15*h**3 + 0*h + 0*h**2 - 1/25*h**5 + 2 - 1/30*h**6. Factor m(b).
-b**2*(b - 1)*(b + 1)**2/5
Let d(c) = -4*c**2 - 23*c - 16. Let i(g) = 2*g**2 + 11*g + 8. Suppose 7*t - t = -36. Let b(l) = t*d(l) - 14*i(l). Factor b(r).
-4*(r + 2)**2
Let z(y) = y**2 - 15*y + 40. Let s be z(12). Let q(v) = 8*v**2 - 20. Let f(l) = l**3 + 7*l**2 - 21. Let w(m) = s*f(m) - 5*q(m). Factor w(u).
4*(u - 2)**2*(u + 1)
Let u(y) be the second derivative of y**6/21 - y**5/35 - 5*y**4/42 + 2*y**3/21 - 74*y. Let u(q) = 0. What is q?
-1, 0, 2/5, 1
Let o be (-4 - -3)/(-4) + 27/4. Suppose -2*l + o*l = 20. Let 16/3*y**3 + 8/3*y - 20/3*y**2 - 4/3*y**l + 0 = 0. What is y?
0, 1, 2
Let k be (-7)/(8 + -29)*0. Let d(z) be the second derivative of 1/2*z**5 + 1/3*z**3 + k + 43/24*z**4 - 8*z - z**2. Find q, given that d(q) = 0.
-2, -2/5, 1/4
Let d(t) = -3*t**4 - t**3 - 5*t**2 - 5*t - 5. Let w(j) = -2*j**4 - j**3 - 3*j**2 - 3*j - 3. Let i(n) = 6*d(n) - 10*w(n). Factor i(c).
2*c**3*(c + 2)
Suppose 0 = 8*d + 18 - 34. Factor -20*b**3 - 4*b**4 - 289*b**2 - 196*b + 37*b**d - 24*b**3 - 16*b**3.
-4*b*(b + 1)*(b + 7)**2
Let f(m) be the second derivative of 0*m**2 + 4/3*m**3 + 0 - 1/3*m**4 - 6*m. What is a in f(a) = 0?
0, 2
Let z(t) be the third derivative of 0*t - 5/3*t**3 - 1/10*t**5 + 3/4*t**4 - 1/60*t**6 - 2*t**2 + 0. Factor z(n).
-2*(n - 1)**2*(n + 5)
Let i be 2682/(-792) + 5 - 10/8. Solve 2/11*l**2 - i + 2/11*l = 0.
-2, 1
Let r(k) = k**3 + 9*k**2 - 13*k + 8. Let p be r(-10). Suppose 9*g**3 + 6*g**5 - 3*g**5 + 41*g**2 - p*g**2 + 9*g**4 = 0. Calculate g.
-1, 0
Let m(b) = 2 + 0 + 2*b**2 + 3*b - b**2. Let k(u) = 3*u + 2 - 19*u**2 + 12*u**2 + 8*u**2. Let o(j) = -5*k(j) + 6*m(j). Determine h so that o(h) = 0.
-2, -1
Let n be -2*3/6 + 24/4. Let c be 14/n + -7 + 5. Determine z so that 4/5 + c*z + 1/5*z**2 = 0.
-2
Factor -4/3 + 2/3*s**3 + 4/3*s**2 - 2/3*s.
2*(s - 1)*(s + 1)*(s + 2)/3
Let g(x) be the third derivative of -x**7/630 + 23*x**6/540 + 4*x**5/45 + 2*x**4/3 + 28*x**2. Let z(r) be the second derivative of g(r). Factor z(n).
-4*(n - 8)*(3*n + 1)/3
Let x(q) = 15*q**2 + 572*q - 100. Let n(g) = g**2 + 8. Let y(o) = -24*n(o) + 3*x(o). Find p, given that y(p) = 0.
-82, 2/7
Let r(c) be the second derivative of c**5/20 - c**4 + 2*c**3 - 11*c**2/2 + 5*c. Let g be r(11). Factor -2*q + 4*q**2 - 6*q + g*q.
4*q*(q - 2)
Let -97883*t + 456*t**3 + 89434*t - 5485*t**2 - 17915*t**2 - 3*t**4 + 428449*t - 750000 = 0. What is t?
2, 50
Let i(t) be the third derivative of t**6/1440 + t**5/40 + 3*t**4/8 + 16*t**3/3 + 30*t**2. Let d(g) be the first derivative of i(g). Factor d(f).
(f + 6)**2/4
Let r(h) = -10*h**2 + 420*h. Let f(s) = 5*s**2 - 209*s. Let d(x) = 5*f(x) + 3*r(x). Factor d(i).
-5*i*(i - 43)
Let d(o) be the third derivative of -35/13*o**4 - 1/195*o**6 + 0 - 27/130*o**5 - 6*o**2 - 3*o - 100/39*o**3. Factor d(q).
-2*(q + 10)**2*(4*q + 1)/13
Let w be 8547/693 + 2/(-6). Factor -18*f**3 + 0 + 27/4*f**2 + w*f**4 - 3/4*f.
3*f*(f - 1)*(4*f - 1)**2/4
Solve -2*y**2 + y**4 + 2*y + 13*y**2 + 0*y**2 - 14*y**2 = 0.
-2, 0, 1
Let v(y) = 2*y**4 - 12*y**3 + 8*y**2 - 8*y + 6. Let k(b) = 2*b**4 - 13*b**3 + 7*b**2 - 8*b + 7. Let c(q) = 4*k(q) - 5*v(q). Find x such that c(x) = 0.
1
Solve 32/5 + 92/5*y**4 + 72/5*y**3 - 66/5*y - 124/5*y**2 - 6/5*y**5 = 0.
-1, 1/3, 1, 16
Let m(q) = 7*q**2 + 6*q - 6. Let h(w) = -15*w**2 - 13*w + 13. Let l(t) = -6*h(t) - 13*m(t). Let p(d) = 12*d**2 - 4*d. Let g(b) = -8*l(b) - p(b). Factor g(a).
-4*a*(a - 1)
Let r(m) be the third derivative of m**9/151200 + m**8/10080 + m**7/3150 - 7*m**5/30 + 18*m**2. Let q(i) be the third derivative of r(i). Factor q(o).
2*o*(o + 1)*(o + 4)/5
Let h(q) be the first derivative of 1/30*q**4 + 4 - 2/15*q**3 - 3/5*q**2 + q. Let g(n) be the first derivative of h(n). Determine z, given that g(z) = 0.
-1, 3
Factor -108 + 75*a - 8 + 5*a**3 + 45*a**2 - 9.
5*(a - 1)*(a + 5)**2
Let g(y) be the first derivative of y**6/5 - y**5/2 + y**4/3 - 14*y + 9. Let p(w) be the first derivative of g(w). Find h, given that p(h) = 0.
0, 2/3, 1
Let f(z) be the third derivative of z**8/4200 - z**7/1050 + z**6/900 - 11*z**3/6 - 27*z**2. Let l(n) be the first derivative of f(n). Factor l(d).
2*d**2*(d - 1)**2/5
Suppose 19 + 13 = 2*c. Let f = -12 + c. Factor -4*g**5 + 6*g - 2 - 4*g**3 + 3*g**5 - f*g**2 + 0 - g**5 + 6*g**4.
-2*(g - 1)**4*(g + 1)
Factor -8/3 + 8/3*u**2 + 2/3*u**3 - 2/3*u.
2*(u - 1)*(u + 1)*(u + 4)/3
What is i in -242 + 22*i - 1/2*i**2 = 0?
22
Let y(c) be the second derivative of -1/5*c**5 + 0 + 1/15*c**6 + 0*c**3 - 7*c + 1/6*c**4 + 0*c**2. Factor y(m).
2*m**2*(m - 1)**2
Let b(v) be the first derivative of -2*v**6/3 - 4*v**5/5 + 45. Let b(q) = 0. What is q?
-1, 0
Let h = -20/1201 - -188677/7206. Let p = h + -26. Find l, given that 1/3 + 1/6*l**3 - p*l - 1/3*l**2 = 0.
-1, 1, 2
Let i = -104 - -74. Let d(o) = -2*o - 60. Let r be d(i). Let 1/5*h**5 + 3/5*h**3 - 1/5*h**2 + r*h - 3/5*h**4 + 0 = 0. Calculate h.
0, 1
Let h be ((-15)/(-250)*-15)/((-42)/35). Let 0 - 1/4*c**3 + 0*c + h*c**2 = 0. Calculate c.
0, 3
Let p(y) = 4*y**4 - 64*y**3 + 62*y**2 + 68*y - 64. Let v(s) = 17*s**4 - 256*s**3 + 249*s**2 + 274*s - 257. Let c(q) = 9*p(q) - 2*v(q). Solve c(k) = 0.
-1, 1, 31
Suppose 3*p = 129 - 108. Let z be 4/80*(p + 1). Let z*y**2 - 1/5*y**3 + 0 - 1/5*y = 0. What is y?
0, 1
Let n(z) be the first derivative of 18 + 16/3*z**3 + 32/5*z - 2*z**4 + 2/5*z**5 - 1/30*z**6 - 8*z**2. Let n(q) = 0. Calculate q.
2
Suppose -289*k + 2*n = -285*k + 4, 0 = -2*k - 4*n + 8. Solve k - 2/3*f**2 + 1/3*f**3 + 8/3*f**4 + 5/3*f**5 + 0*f = 0 for f.
-1, 0, 2/5
Let m(x) be the second derivative of x**10/45360 - x**9/22680 - x**8/5040 + 2*x**4 - 2*x. Let t(f) be the third derivative of m(f). Let t(j) = 0. Calculate j.
-1, 0, 2
Let k = 7/52 - -381/260. Factor 4/5 + k*h + 4/5*h**2.
4*(h + 1)**2/5
Solve -4*n**3 + 3*n**3 + n**3 - 39*n**2 + 3341 + 115*n - 3191 + n**4 - 3*n**3 = 0 for n.
-6, -1, 5
Let l = -28008 - -140042/5. Suppose 6*r**2 + 8/5 + l*r**4 - 26/5*r - 14/5*r**3 = 0. What is r?
1, 4
Let c(l) be the first derivative of 5*l**6/6 + 3*l**5 - 25*l**4/4 - 5*l**3 + 10*l**2 - 6. Factor c(k).
5*k*(k - 1)**2*(k + 1)*(k + 4)
Let b(y) be the first derivative of y**6/180 + y**5/30 + y**4/12 - 20*y**3/3 - 5. Let g(h) be the third derivative of b(h). Factor g(z).
2*(z + 1)**2
Let b = 290 - 287. Let x(t) be the first derivative of b - 9/2*t**4 + 0*t + 2*t**5 - 2*t**2 + 14/3*t**3 - 1/3*t**6. Factor x(f).
-2*f*(f - 2)*(f - 1)**3
Let v(f) = f**2 + f - 1. Suppose 4*j = 3*j + 7. Let x(l) = -7*l - 7*l**2 - 9*l + 0*l - j - 12. Let y(g) = 6*v(g) + x(g). Let y(k) = 0. What is k?
-5
Let q be (3 - (-3)/(45/(-40))) + (-32)/168. Factor 2/7*t**3 + 0*t - q + 3/7*t**2.
(t + 1)**2*(2*t - 1)/7
Suppose 0*c - o - 10 = -3*c, c - 5 = 2*o. What is u in 65*u**2 + 0 - 14*u - 30*u**c + 3 + 2 - 26*u = 0?
1/6, 1
Let l = -29 - -31. Factor 3*u**2 - 3*u**3 + l*u**4 + 67*u - 5*u**4 - 64*u.
-3*u*(u - 1)*(u + 1)**2
Factor -4/5 - 2/5*w**3 + 0*w**2 + 6/5*w.
-2*(w - 1)**2*(w + 2)/5
Let k be 30012/20130 + 12/(-11). Suppose k*l**5 + 4/5 + 0*l**4 - 8/5*l**3 + 6/5*l - 4/5*l**2 =
|
{
"pile_set_name": "DM Mathematics"
}
|
x(y) = 0. Calculate y.
-1, 1
Let p be ((-35)/21)/(10/(-8)). Factor 1/3 + a - p*a**2.
-(a - 1)*(4*a + 1)/3
Factor 42/5*r**2 - 32/5*r - 18/5*r**3 + 8/5.
-2*(r - 1)*(3*r - 2)**2/5
Factor -8/7*y**2 - 4/7*y**3 + 16/7*y + 32/7.
-4*(y - 2)*(y + 2)**2/7
Determine o, given that 27*o**2 - 9*o**2 - 15*o**2 + 15*o - 18 = 0.
-6, 1
Suppose -47 + 101 = 18*r. Determine a, given that 0*a + 0 - 1/4*a**r + 0*a**2 = 0.
0
Find v such that 1/12*v**2 + 1/6*v + 1/12 = 0.
-1
Let c(i) be the first derivative of 2/35*i**5 + 4 + 2/7*i**3 - 3/14*i**4 + 0*i - 1/7*i**2. Let c(s) = 0. Calculate s.
0, 1
Let w(l) be the second derivative of 3*l**5/20 + l**4/2 + l**3/2 - 2*l. Suppose w(p) = 0. What is p?
-1, 0
Suppose 0 = -3*r - 2*k - 64, 0 = -3*r + 6*k - k - 29. Let t be 6/(-8)*12/r. Factor -3/4*i - 1/4 - 1/4*i**2 + 3/4*i**3 + t*i**4.
(i - 1)*(i + 1)**2*(2*i + 1)/4
Let c(t) be the second derivative of t**6/30 + t**5/20 - 6*t. Solve c(n) = 0.
-1, 0
Factor -1/3*m**3 + 4/3*m**2 + 0 + 0*m.
-m**2*(m - 4)/3
Let n = 22 - 8. Let t = n - 10. Determine x, given that -2*x + 3 + 3*x**3 - 4 - x**3 + x**t = 0.
-1, 1
Solve 3/8 - 1/8*v**2 - 1/4*v = 0 for v.
-3, 1
Let u be (54/(-63))/(1/7). Let w(j) = -3*j**3 - 6*j**2 - 8*j - 1. Let n(g) = 3*g**3 + 5*g**2 + 8*g + 2. Let l(c) = u*w(c) - 5*n(c). Factor l(v).
(v + 2)**2*(3*v - 1)
Suppose 3*i + 4 - 10 = 0. Suppose r + 1 - 12 = -l, 0 = -4*r - i*l + 38. Factor 14*a + 10*a - 10*a - 4 + r*a**2.
2*(a + 2)*(4*a - 1)
Let j(i) = -i**3 - 2*i**2 + 7*i - 1. Let d be j(-4). Let s be 63/14 + d/4. Factor -3/2*o + 0 + 15/4*o**2 + s*o**3.
3*o*(o + 1)*(7*o - 2)/4
Let x(f) = -f**3 + 9*f**2 - 8*f + 3. Let h be x(8). Factor -5*o**h - 12*o - 2*o**3 - 4 - 12*o**2 + 3*o**3.
-4*(o + 1)**3
Solve 0 + 0*s - 4/5*s**2 + 2/5*s**4 + 2/5*s**3 = 0 for s.
-2, 0, 1
Let s(k) be the second derivative of -1/10*k**4 + 1/100*k**5 + 6*k + 3/10*k**3 + 0*k**2 + 0. Factor s(f).
f*(f - 3)**2/5
Suppose -5*u = 3*x - 31, 3*u - 5*x - 1 = 4. Find q such that -26*q**5 - 30*q**3 + 10*q**4 + 4*q**2 - 23*q**5 + 58*q**4 + 7*q**u = 0.
0, 2/7, 1/3, 1
Let v(y) = 45*y**2 - 215*y - 35. Let i(t) = -5*t**2 + 24*t + 4. Let c(x) = -35*i(x) - 4*v(x). Determine l, given that c(l) = 0.
0, 4
Suppose -2*k - 20 = -3*a, 4*a - 3*k = -12 + 39. Let w be (-22)/(-66) + 10/a. Solve 1/2*y**4 - 1/2*y**w - y + y**3 + 0 = 0.
-2, -1, 0, 1
Let q = -31/6 + 161/30. Let t(z) be the first derivative of z - 2*z**2 - z**4 + 2*z**3 - 3 + q*z**5. Factor t(l).
(l - 1)**4
Let b(u) be the first derivative of u**4/16 - 17*u**3/12 + 63*u**2/8 + 81*u/4 + 22. Factor b(t).
(t - 9)**2*(t + 1)/4
Let p = 25/2 + -12. Find j, given that p*j + 1/4*j**2 + 1/4 = 0.
-1
Let j be 0/(9/(-3)) - 1*-2. Factor -2 + j*w - 1/2*w**2.
-(w - 2)**2/2
Let h(l) be the second derivative of -l**5/4 - 15*l**4/2 - 90*l**3 - 540*l**2 - 7*l. Factor h(z).
-5*(z + 6)**3
Let w be -1 + (-2 - 1)*(-4)/3. Solve -1/2 + 5/4*s - s**2 + 1/4*s**w = 0.
1, 2
Let m(q) be the first derivative of -q**6/105 + q**5/70 + q**4/42 - q**3/21 + 3*q - 2. Let j(h) be the first derivative of m(h). Determine w so that j(w) = 0.
-1, 0, 1
Suppose -5/2*b**2 + 3/2*b**3 + 1/2*b + 1/2 = 0. What is b?
-1/3, 1
Let i be (-8)/(-36) - 388/(-36). Factor 19*m**2 + 13*m + 23*m + 4*m**3 - i*m**2 + 16*m**2.
4*m*(m + 3)**2
Suppose 0*o = 3*o - 12. Factor 4*s + s**4 + 5*s**2 - 1 - 2*s**4 + o*s**3 - 11*s**2 + 0*s**3.
-(s - 1)**4
Let r be (-2 + 26)*(-7)/(-4). Let p be 16/(-6)*(-9)/r. Let 2/7 - p*b + 4/7*b**3 - 2/7*b**4 + 0*b**2 = 0. What is b?
-1, 1
Let t(x) = x**3 + 3*x**2 - 2*x + 8. Let u be t(-4). Solve -2/7*v + u*v**3 - 4/7*v**2 + 0 + 2/7*v**5 + 4/7*v**4 = 0.
-1, 0, 1
Suppose -2*i + 5*i = 96. Factor 11*t**2 + t**2 + 8 + 2*t**2 - i*t.
2*(t - 2)*(7*t - 2)
Suppose -6*u + 12 = 3*l - 9*u, -5*l + 8 = -2*u. Factor 0 - 2/11*a**2 + l*a.
-2*a**2/11
Let y(m) be the third derivative of -m**6/540 + m**5/270 + m**4/54 - 3*m**2. Factor y(d).
-2*d*(d - 2)*(d + 1)/9
Factor -5*g - g - g**2 - g**3 + 4*g**2 + 10*g**3.
3*g*(g + 1)*(3*g - 2)
Let g(v) = 9*v**2 + 15*v. Let k(q) = 8*q**2 + 16*q. Let z(l) = 3*g(l) - 2*k(l). Let y(n) = n**2 + n - 1. Let x(u) = 2*y(u) - z(u). What is r in x(r) = 0?
-1, -2/9
Let n(m) = -10*m + 10. Let d be n(1). Solve -1/2*h**2 + d*h + 0 = 0 for h.
0
Suppose 0*v + 31 = 2*v - 5*f, -5*v + 5*f + 40 = 0. Suppose 8/5*l**v + 2/5*l - 2*l**2 + 0 = 0. What is l?
0, 1/4, 1
Let u(g) be the third derivative of -g**6/120 + g**3/6 + 7*g**2. Let x(r) = 2*r**4 - r**3 - 4*r + 3. Let k(a) = -10*u(a) + 2*x(a). Factor k(c).
4*(c - 1)*(c + 1)**3
Factor 2*l**3 + l**2 + 11*l**2 - 22*l**3.
-4*l**2*(5*l - 3)
Let n be 5/(-35) + 598/21. Let b = n - 28. Factor -4/3*k**2 + 0 + 1/3*k**3 - b*k + 4/3*k**4.
k*(k - 1)*(k + 1)*(4*k + 1)/3
Let a(z) = -z**2 - 2*z - 2. Let n(f) = 2*f**2 + 5*f + 5. Let k(m) = -5*a(m) - 2*n(m). Factor k(v).
v**2
Let j(x) be the first derivative of -x**4/3 - 14*x**3/9 - 7*x**2/3 - 4*x/3 - 2. Factor j(c).
-2*(c + 1)*(c + 2)*(2*c + 1)/3
Let v = -1/22010 + 1601231/77035. Let p = -41/2 + v. Suppose 2/7*i + 0 - 2/7*i**3 + 2/7*i**4 - p*i**2 = 0. Calculate i.
-1, 0, 1
Let n(m) be the second derivative of 9*m**7/1120 - m**6/240 + m**3/3 - m. Let t(o) be the second derivative of n(o). Factor t(x).
3*x**2*(9*x - 2)/4
Suppose 2*q + 8 = 0, -5*w + 14 = -4*q - 17. Let -2*h - w*h**2 + 2*h + h**2 + 2*h = 0. Calculate h.
0, 1
Suppose r - 4*r = 0. Suppose -2 = -f - r*f. Factor -k**4 + k**f - k**5 + k**3 - 2*k**3 + 2*k**5.
k**2*(k - 1)**2*(k + 1)
Let q be ((-156)/27 + 6)*(-18)/(-8). Factor 0 - 1/4*t**3 - 1/4*t**2 + q*t.
-t*(t - 1)*(t + 2)/4
Let y(k) be the third derivative of k**6/80 + k**5/10 - 3*k**4/16 - 9*k**3/2 + 29*k**2. Factor y(w).
3*(w - 2)*(w + 3)**2/2
Let b(p) = 7*p**5 + 9*p**4 - 3*p**3 - 11*p**2 - 5*p + 5. Let g(o) = 8*o**5 + 10*o**4 - 2*o**3 - 10*o**2 - 6*o + 6. Let a(l) = 6*b(l) - 5*g(l). Factor a(y).
2*y**2*(y - 2)*(y + 2)**2
Suppose 11 = 3*y + 4*q, -3 = -q + 4*q. Suppose c - 2*c + y*k - 22 = 0, -25 = -5*k. Determine j, given that j + 5/2*j**c + 0 + 7/2*j**2 = 0.
-1, -2/5, 0
Let q = -36/17 + 176/51. Let j(m) be the first derivative of -3 - 1/3*m**2 + q*m + 1/6*m**4 - 4/9*m**3. Factor j(t).
2*(t - 2)*(t - 1)*(t + 1)/3
Let o(a) be the first derivative of -5 + 0*a**3 + 0*a + 0*a**5 + 1/3*a**6 - a**4 + a**2. Factor o(w).
2*w*(w - 1)**2*(w + 1)**2
Suppose t - 12 = 4*t. Let c(p) = -p. Let x be c(t). Determine j so that -2*j**3 - 2/3*j + 0 + 2*j**2 + 2/3*j**x = 0.
0, 1
Let h(y) be the second derivative of 0 + 0*y**2 + 1/135*y**6 + 1/45*y**5 - 2/27*y**3 + 3*y - 1/54*y**4. Factor h(t).
2*t*(t - 1)*(t + 1)*(t + 2)/9
Factor -12/5*n**4 + 0*n + 4/5*n**5 + 8/5*n**3 + 0*n**2 + 0.
4*n**3*(n - 2)*(n - 1)/5
Suppose u = u + 3*u. Factor -4/7*x + 2/7*x**3 + u - 2/7*x**2.
2*x*(x - 2)*(x + 1)/7
Let d(b) = -b**3 + b + 1. Suppose 5*j - 11 = 9. Let s(i) = -3*i**2 - 6*i + i**3 - 3*i + 5*i - j. Let o(v) = -4*d(v) - s(v). Factor o(m).
3*m**2*(m + 1)
Factor -10*h**4 - 2*h**5 + 5*h**2 - 19*h**2 - 4*h + 0*h**5 - 18*h**3.
-2*h*(h + 1)**3*(h + 2)
Let y(z) be the first derivative of -5*z**4/4 - 23*z**3/3 - 5*z**2 + 8*z + 7. Suppose y(r) = 0. What is r?
-4, -1, 2/5
Let n be (2 + -1)*0/(-1). Let k(j) be the second derivative of 0*j**2 + n - 1/15*j**4 - 3/50*j**5 + 1/15*j**3 + 2*j. Factor k(t).
-2*t*(t + 1)*(3*t - 1)/5
Factor 2*a + 4*a + 0*a + 3*a + 3 - 12*a**2.
-3*(a - 1)*(4*a + 1)
Let g(i) be the third derivative of 1331*i**8/336 + 242*i**7/15 + 66*i**6/5 + 68*i**5/15 + 2*i**4/3 - 29*i**2. Factor g(w).
w*(w + 2)*(11*w + 2)**3
Let b(y) = -7*y**2 - 2*y + 5. Let z(l) = -3*l**2 - l + 2. Let i(o) = -4*b(o) + 10*z(o). Factor i(v).
-2*v*(v + 1)
Factor 1/2*r**2 + 3*r + 9/2.
(r + 3)**2/2
Let q = 3324/8285 + -2/1657. Let l = -2/5 - -4/5. Find a such that 0 + l*a**2 - q*a = 0.
0, 1
What is k in 2/5*k**2 + 2/5*k**3 + 1/5 - 3/5*k - 3/5*k**4 + 1/5*k**5 = 0?
-1, 1
Factor 1360 + 2*g**3 + 392*g + 208*g + 640 + 60*g**2.
2*(g + 10)**3
Suppose 34 = 44*f - 54. Suppose -8/7 - 88/7*j - 242/7*j**f = 0. What is j?
-2/11
Factor -l**2 + 2*l**2 - l**4 + l - l**3 + 0*l.
-l*(l - 1)*(l + 1)**2
Suppose -2*b + 3*b = 0. Let z(x) = x**3 + x**2 - x + 3. Let u be z(b). Suppose -2/3*q - 2/3*q**u + 0 - 4/3*q**2 = 0. Calculate q.
-1, 0
Let z be (-2)/5 + (-24)/(-10). Suppose -4*o + a + 4*a + 20 = 0, 4*o - 3*a - 12 = 0. Factor 0*f + o + 1/2*f**z.
f**2/2
Let h(p) = 4*p**3 - 10*p**2 - 17*p - 8. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from {t: 1, s: 1, l: 9, i: 2}. What is prob of sequence si?
1/78
Four letters picked without replacement from {s: 1, b: 2, v: 1}. Give prob of sequence bbsv.
1/12
Four letters picked without replacement from ccccckckckckcckckkc. Give prob of sequence kkck.
35/1292
Four letters picked without replacement from xcxxcxxx. Give prob of sequence cxcx.
1/28
What is prob of sequence hxh when three letters picked without replacement from vxhvvvvhxhhuvuvvhxx?
40/2907
What is prob of sequence mz when two letters picked without replacement from zmzmyzyzzmymyyzz?
7/60
Three letters picked without replacement from {z: 8, e: 3}. What is prob of sequence eze?
8/165
Three letters picked without replacement from yyjjjjjjyjygjjjjyyjy. What is prob of sequence yjj?
77/570
Calculate prob of sequence bkyb when four letters picked without replacement from {b: 2, j: 6, l: 1, y: 2, k: 4}.
2/4095
Three letters picked without replacement from {c: 12, n: 4, i: 1, z: 2}. Give prob of sequence czc.
44/969
Calculate prob of sequence gv when two letters picked without replacement from {d: 1, g: 12, v: 1, t: 5}.
2/57
Four letters picked without replacement from iminmmii. What is prob of sequence mimm?
1/70
What is prob of sequence ytty when four letters picked without replacement from dyddyddtdtdyy?
1/715
Calculate prob of sequence ii when two letters picked without replacement from {q: 1, r: 1, i: 2, x: 1}.
1/10
Four letters picked without replacement from {r: 1, u: 3, c: 4, i: 1, x: 4, p: 4}. Give prob of sequence riuc.
1/4760
Calculate prob of sequence hh when two letters picked without replacement from {u: 1, h: 2, a: 1, e: 7, k: 5}.
1/120
Three letters picked without replacement from nnnocvocpnloco. What is prob of sequence plc?
1/728
Calculate prob of sequence naan when four letters picked without replacement from oinookiopoanoapoo.
1/14280
Two letters picked without replacement from yyfyybybbybyyfby. Give prob of sequence bb.
1/12
Two letters picked without replacement from hwwhywwhewew. Give prob of sequence we.
1/11
Three letters picked without replacement from ess. What is prob of sequence ess?
1/3
Two letters picked without replacement from ffffufaau. Give prob of sequence ff.
5/18
Four letters picked without replacement from {n: 1, k: 1, g: 2, e: 8, z: 3, i: 2}. Give prob of sequence izin.
1/9520
Calculate prob of sequence ewej when four letters picked without replacement from jjweewijejwjjwew.
3/364
Calculate prob of sequence edj when three letters picked without replacement from jeieedieeeieeieedd.
5/816
Calculate prob of sequence qr when two letters picked without replacement from llqru.
1/20
Four letters picked without replacement from ssmiimsjis. What is prob of sequence miss?
1/70
What is prob of sequence almg when four letters picked without replacement from {k: 1, l: 1, a: 1, m: 2, g: 1, v: 1}?
1/420
Calculate prob of sequence rt when two letters picked without replacement from {r: 2, c: 4, p: 3, l: 1, t: 1}.
1/55
Calculate prob of sequence vlm when three letters picked without replacement from {j: 1, l: 1, u: 3, m: 1, v: 1}.
1/210
What is prob of sequence bbbb when four letters picked without replacement from {t: 8, b: 2}?
0
What is prob of sequence qg when two letters picked without replacement from qququugwqw?
2/45
Two letters picked without replacement from eeeeeeeeee. Give prob of sequence ee.
1
Two letters picked without replacement from ddhg. Give prob of sequence dh.
1/6
What is prob of sequence aggg when four letters picked without replacement from aagagaag?
1/56
What is prob of sequence fffi when four letters picked without replacement from ffifiii?
1/35
What is prob of sequence go when two letters picked without replacement from {o: 1, h: 2, m: 7, c: 8, g: 1, l: 1}?
1/380
Calculate prob of sequence vy when two letters picked without replacement from {v: 2, y: 1, o: 1, n: 2, l: 1}.
1/21
What is prob of sequence wmm when three letters picked without replacement from fufmwmffmmuunnj?
2/455
Four letters picked without replacement from {x: 4, y: 7}. Give prob of sequence yxxy.
7/110
Calculate prob of sequence sss when three letters picked without replacement from {s: 10, g: 10}.
2/19
Calculate prob of sequence ddw when three letters picked without replacement from wafwfafffdada.
1/429
What is prob of sequence nr when two letters picked without replacement from {y: 1, q: 2, n: 1, c: 2, r: 1}?
1/42
Three letters picked without replacement from {m: 3, c: 8}. What is prob of sequence mmm?
1/165
What is prob of sequence qo when two letters picked without replacement from qqqoqoq?
5/21
Two letters picked without replacement from cmhhncnhhhhgnhn. Give prob of sequence gc.
1/105
Two letters picked without replacement from {s: 8, k: 1, r: 10}. What is prob of sequence sr?
40/171
Three letters picked without replacement from {m: 9, y: 7}. Give prob of sequence yyy.
1/16
Three letters picked without replacement from yygygeg. What is prob of sequence yee?
0
What is prob of sequence tftt when four letters picked without replacement from fttttgtgffgtfgft?
5/208
What is prob of sequence ppzz when four letters picked without replacement from zjgzgpgzzppjpugj?
3/910
Four letters picked without replacement from crrkyryeryrckycrryr. Give prob of sequence rrek.
7/5814
What is prob of sequence nhp when three letters picked without replacement from {p: 1, n: 1, t: 1, d: 2, h: 2}?
1/105
Two letters picked without replacement from {i: 2, a: 1, c: 2}. Give prob of sequence ac.
1/10
Three letters picked without replacement from {s: 4, k: 6}. Give prob of sequence kss.
1/10
What is prob of sequence bqgs when four letters picked without replacement from {b: 1, g: 1, s: 5, n: 4, q: 5}?
5/8736
Two letters picked without replacement from uuuuaaagkgukbuga. What is prob of sequence ga?
1/20
Four letters picked without replacement from {z: 17, i: 1}. Give prob of sequence zzzi.
1/18
What is prob of sequence px when two letters picked without replacement from rmxppppmp?
5/72
Two letters picked without replacement from {s: 1, e: 2, h: 2, w: 1, i: 1}. What is prob of sequence sw?
1/42
Calculate prob of sequence jjj when three letters picked without replacement from sojjj.
1/10
What is prob of sequence ji when two letters picked without replacement from {j: 2, r: 2, t: 1, o: 3, m: 7, i: 3}?
1/51
Two letters picked without replacement from {p: 5, e: 5, k: 2}. What is prob of sequence pk?
5/66
Two letters picked without replacement from {e: 5, w: 5, i: 2, h: 1, k: 3}. Give prob of sequence hw.
1/48
What is prob of sequence bbb when three letters picked without replacement from bwwwbbbb?
5/28
Calculate prob of sequence ln when two letters picked without replacement from nnontnonulonnonu.
1/30
Three letters picked without replacement from ixidcxeicxi. What is prob of sequence dxc?
1/165
Three letters picked without replacement from yxyxyxy. What is prob of sequence yxx?
4/35
Calculate prob of sequence pcq when three letters picked without replacement from {p: 3, t: 1, c: 10, n: 2, z: 1, q: 2}.
10/969
What is prob of sequence vv when two letters picked without replacement from {v: 2, u: 2, w: 2}?
1/15
What is prob of sequence aakk when four letters picked without replacement from kkaaaa?
1/15
Two letters picked without replacement from pspssssssss. What is prob of sequence sp?
9/55
Calculate prob of sequence xo when two letters picked without replacement from fxjoq.
1/20
Two letters picked without replacement from qqkkktkqtkkk. Give prob of sequence qt.
1/22
Three letters picked without replacement from {d: 4, n: 1, l: 2, g: 12}. What is prob of sequence lln?
1/2907
Three letters picked without replacement from {q: 7, t: 3, d: 4}. Give prob of sequence qdq.
1/13
Three letters picked without replacement from {s: 6, w: 1, l: 1, n: 4, t: 1}. Give prob of sequence lws.
1/286
Calculate prob of sequence odjd when four letters picked without replacement from joodjddddttddtjddd.
1/136
Calculate prob of sequence hf when two letters picked without replacement from {h: 4, l: 1, f: 2}.
4/21
Calculate prob of sequence gq when two letters picked without replacement from qgpp.
1/12
Four letters picked without replacement from {w: 2, c: 4}. What is prob of sequence cwcw?
1/15
Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
d 51?
918
Find the common denominator of -29/84 and 109/42.
84
Find the common denominator of 79/320 and 97/1504.
15040
Calculate the least common multiple of 64 and 192.
192
What is the common denominator of -62/45 and -42/275?
2475
Find the common denominator of -27/76 and 71/24.
456
Calculate the lowest common multiple of 156 and 338.
2028
Calculate the common denominator of 49/12 and 8/601.
7212
Calculate the common denominator of -101/76 and -13/24.
456
What is the lowest common multiple of 33 and 77?
231
Calculate the least common multiple of 360 and 3006.
60120
Calculate the lowest common multiple of 966 and 18.
2898
What is the common denominator of -29/35 and 44/5?
35
Find the common denominator of -53/280 and 117/40.
280
What is the common denominator of -119/6 and -9/14?
42
What is the common denominator of -4/3 and -55/1194?
1194
Calculate the common denominator of 51/152 and -77/380.
760
What is the smallest common multiple of 260 and 260?
260
Calculate the lowest common multiple of 300 and 1920.
9600
Calculate the lowest common multiple of 88 and 8.
88
What is the smallest common multiple of 2 and 72?
72
Calculate the common denominator of -73/160 and 41/160.
160
Calculate the common denominator of 26/1395 and 43/1705.
15345
Calculate the least common multiple of 846 and 1034.
9306
Calculate the lowest common multiple of 136 and 56.
952
What is the smallest common multiple of 805 and 897?
31395
What is the lowest common multiple of 119 and 17?
119
Find the common denominator of 47/1005 and -71/1206.
6030
What is the smallest common multiple of 18 and 4?
36
Calculate the common denominator of 13/4 and 29/676.
676
What is the common denominator of 113/48 and -47/56?
336
Calculate the common denominator of 27/94 and -111/20.
940
What is the lowest common multiple of 209 and 2?
418
What is the lowest common multiple of 19 and 155?
2945
Calculate the smallest common multiple of 122 and 4.
244
What is the lowest common multiple of 70 and 70?
70
Calculate the least common multiple of 549 and 99.
6039
Calculate the common denominator of 1/583 and -13/159.
1749
Find the common denominator of -5/72 and 37/12.
72
What is the common denominator of 76/27 and 115/396?
1188
What is the common denominator of 43/27 and 89/74?
1998
What is the common denominator of -145/3588 and 1/8?
7176
Calculate the smallest common multiple of 195 and 6.
390
Calculate the least common multiple of 24 and 564.
1128
Find the common denominator of 27/2 and -55/1088.
1088
Calculate the smallest common multiple of 24 and 24.
24
Calculate the common denominator of -37/84 and -133/408.
2856
What is the common denominator of 109/36 and 91/324?
324
Calculate the common denominator of -51/40 and 53/164.
1640
Calculate the smallest common multiple of 28 and 28.
28
What is the common denominator of 191/840 and 9/2065?
49560
Calculate the lowest common multiple of 12 and 228.
228
What is the common denominator of -3/2530 and -57/2783?
27830
What is the least common multiple of 71 and 355?
355
Calculate the least common multiple of 32 and 160.
160
Calculate the least common multiple of 6 and 54.
54
What is the lowest common multiple of 56 and 1016?
7112
Find the common denominator of -31/1056 and -95/768.
8448
Calculate the smallest common multiple of 36 and 12.
36
What is the smallest common multiple of 45 and 30?
90
Calculate the common denominator of -20/9 and -47/1548.
1548
What is the smallest common multiple of 1653 and 58?
3306
Calculate the common denominator of 209/420 and 35/8.
840
Find the common denominator of 13/36 and -79/96.
288
Find the common denominator of -89/1960 and 71/70.
1960
Calculate the common denominator of 3/22 and 11/84.
924
What is the least common multiple of 60 and 42?
420
Find the common denominator of 51/902 and 65/66.
2706
Calculate the common denominator of 109/3122 and 75/14.
3122
What is the least common multiple of 1515 and 9?
4545
Calculate the least common multiple of 210 and 40.
840
Calculate the common denominator of 113/576 and 137/384.
1152
What is the common denominator of -71/1112 and 107/2502?
10008
Find the common denominator of -3/2326 and 15/22.
25586
What is the common denominator of -49/517 and -83/188?
2068
Calculate the least common multiple of 292 and 16.
1168
Calculate the smallest common multiple of 4410 and 630.
4410
Calculate the lowest common multiple of 121 and 66.
726
What is the common denominator of -11/56 and -67/28?
56
Calculate the lowest common multiple of 38 and 114.
114
What is the lowest common multiple of 75 and 150?
150
Calculate the least common multiple of 9 and 10962.
10962
What is the common denominator of 131/36 and 1/44?
396
What is the least common multiple of 20 and 144?
720
Find the common denominator of 7/171 and 67/8.
1368
What is the common denominator of -2/423 and -59/7?
2961
Calculate the smallest common multiple of 45 and 85.
765
What is the lowest common multiple of 2948 and 44?
2948
What is the smallest common multiple of 21 and 18?
126
What is the smallest common multiple of 18 and 1980?
1980
Find the common denominator of 15/8 and 57/446.
1784
What is the smallest common multiple of 30 and 395?
2370
Calculate the lowest common multiple of 40 and 14.
280
What is the smallest common multiple of 136 and 5?
680
What is the smallest common multiple of 90 and 4329?
43290
Calculate the common denominator of -62/77 and 103/56.
616
Calculate the smallest common multiple of 626 and 6.
1878
Calculate the lowest common multiple of 572 and 312.
3432
Calculate the least common multiple of 18 and 24.
72
What is the least common multiple of 255 and 3?
255
What is the common denominator of -181/90 and -1/2030?
18270
Calculate the least common multiple of 244 and 3.
732
What is the common denominator of 13/20 and 31/602?
6020
Calculate the smallest common multiple of 12915 and 40.
103320
What is the common denominator of 103/36 and -107/24?
72
Calculate the lowest common multiple of 60 and 10.
60
Calculate the smallest common multiple of 4 and 36.
36
What is the common denominator of -101/90 and 33/130?
1170
Find the common denominator of -13/12 and -29/72.
72
What is the common denominator of -111/410 and 20/451?
4510
Find the common denominator of 45/124 and -41/18.
1116
Find the common denominator of -127/290 and -107/406.
2030
Calculate the common denominator of -107/7742 and 27/1738.
85162
Find the common denominator of 13/684 and -145/66.
7524
Find the common denominator of -139/42 and -99/28.
84
Calculate the lowest common multiple of 180 and 144.
720
Calculate the smallest common multiple of 12 and 2880.
2880
Find the common denominator of 10/417 and 65/18.
2502
Calculate the lowest common multiple of 212 and 2.
212
What is the least common multiple of 20 and 10?
20
Find the common denominator of -71/36 and -119/14460.
43380
What is the smallest common multiple of 14 and 206?
1442
Calculate the least common multiple of 6537 and 6.
13074
Find the common denominator of -2/2233 and 41/77.
2233
Calculate the common denominator of 17/3 and -58/63.
63
What is the lowest common multiple of 3829 and 1641?
11487
Calculate the least common multiple of 10 and 9.
90
What is the common denominator of -5/188 and 95/8?
376
Calculate the smallest common multiple of 2080 and 1456.
14560
Find the common denominator of 69/8 and 125/198.
792
Calculate the common denominator of 29/10 and -93/28.
140
Calculate the common denominator of -4/7 and 41/85.
595
Calculate the common denominator of -8/387 and -13/344.
3096
Calculate the common denominator of 19/183 and -127/30.
1830
What is the lowest common multiple of 50 and 248?
6200
What is the least common multiple of 280 and 840?
840
What is the least common multiple of 1064 and 32?
4256
What is the lowest common multiple of 17 and 11?
187
Find the common denominator of 59/147 and 43/210.
1470
What is the common denominator of -61/3384 and 26/5?
16920
Calculate the common denominator of -155/1122 and 79/306.
3366
Calculate the common denominator of -59/1146 and 131/24.
4584
Calculate the common denominator of -131/126 and 79/2702.
24318
Calculate the smallest common multiple of 33 and 465.
5115
What is the common denominator of 39/40 and -47/4096?
20480
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
z
c
Let g = -5 + 7. Suppose 5*x + 3*p + 14 = 0, 0 = -g*x + x + 5*p + 14. Let s be 1*((-12)/(-30) + (-7)/5). What is the closest to s in x, 3, 1?
x
Let i = 288 - 288.3. Which is the nearest to -3/5? (a) 8 (b) -1 (c) i
c
Let x = -32.8 - -35.8. Let g = -0.12 + -0.88. Which is the nearest to 2/9? (a) x (b) g (c) -0.1
c
Let m be (-7)/28 - 3/4. Suppose 0 = -2*v - 3*v + 5. Let l be v + -1 - 3/(-9). Which is the closest to l? (a) 0.4 (b) m (c) 0.1
a
Let v = 18 + -21. Let l = -49 + 45. Which is the nearest to l? (a) 0.3 (b) v (c) 3
b
Let y = -1442/9 + 160. Let b = -44 + 42. Let l = b + 2.4. What is the nearest to y in l, -0.4, -1?
-0.4
Let l = 0 + -0.02. Suppose 4*r - 6 = -54. Let n be (6/r)/((-9)/(-2)). Which is the closest to 0? (a) -0.4 (b) n (c) l
c
Let i = -2.6 - 15.4. Let d = -17 - i. Let l = -4.8 + 5. Which is the closest to d? (a) 2 (b) 0.3 (c) l
b
Let o = 7 - 8. Let n = 405 + -406.1. Which is the closest to 0? (a) n (b) -3/5 (c) o
b
Let o = -2 + -1. Let k = -7 - 5. Let w = -11.9 - k. Which is the closest to w? (a) o (b) -1/3 (c) 0.2
c
Let t = -44 - -42. Let f be t/(-20) + (-4)/8. Which is the nearest to -2/7? (a) 0.5 (b) f (c) -4
b
Suppose -43 = 331*l - 288*l. What is the closest to -1 in 3/7, l, -1/4, -1/5?
l
Let h = -73 + 78. Which is the nearest to 2/7? (a) 1/4 (b) h (c) -18/7
a
Let s = 0.13 - 0.33. Let i = -33 + 32. Let w = -44/57 - -2/19. Which is the nearest to w? (a) s (b) i (c) -1/6
b
Let o = 262 - 1312/5. Let j = 2207/16 - 138. Which is the closest to -2? (a) o (b) -2/3 (c) j
b
Let m = 10 - 5. Let x = -13.7 - -13.2. Which is the closest to -2? (a) x (b) m (c) 0
a
Let i = -4.97 + -0.03. Let g = -5.4 - -5. Let a = 9/22 + -19/154. What is the nearest to a in -1, i, g?
g
Let q = 1/13 - 15/26. Let f = 8 + -11. Let k be (1/6)/((-1)/4). Which is the closest to k? (a) q (b) f (c) 4
a
Let k = 418.1 - 418. Which is the closest to k? (a) 2/7 (b) -24 (c) -1/7
a
Suppose -59 + 50 = 9*f. Let c = 0.1 + 0.1. What is the closest to f in c, 0.4, -0.02?
-0.02
Let q be (-72)/255 + 4/10. Let b = -4558.9 + 4559. Let r be (2/4)/(0 + -1). What is the closest to r in b, q, -0.1?
-0.1
Let n = -5.5 - -5.4. Let h = -6 - -7. Let g = h - 3. Which is the nearest to n? (a) g (b) 1/3 (c) -4
b
Let p be -7*(-4)/40*(-4)/7. What is the closest to 3/7 in 2, p, -2/53?
-2/53
Let n = -0.6 - -0.1. Let t be (-8)/(-24)*2/(-2). Let s = 88/3 + -29. Which is the closest to -2? (a) s (b) n (c) t
b
Let i = 0.1177 + -0.0177. Which is the closest to i? (a) -3/5 (b) -1/3 (c) 1.9
b
Let w = -0.1 - -0.1. Let d = -290 + 286. What is the closest to w in -1, d, -5?
-1
Let x = -2.3 + 2.25. Let z be (195/(-600) - (-2)/10)/(-1). Let v = 4 - 2. Which is the closest to x? (a) 1 (b) z (c) v
b
Let i = -0.86 - 16.44. Let m = i + 18.39. Let g = m + -0.09. Which is the closest to g? (a) 0.1 (b) -0.1 (c) -0.4
a
Suppose 0*s = 3*s - 60. Let p be (-6)/s*120/45. Which is the nearest to p? (a) -5 (b) -2/13 (c) 3
b
Let j = 0.5 + -0.3. Let b be 182/(-252)*-10 - 2/9. What is the closest to b in j, 2, 0.3?
2
Let g be 32/(-1144) + (-1 - 33/(-39)). What is the nearest to 0.07 in 3, g, -2/9?
g
Let s(p) = 2*p + 9. Let j be s(5). Suppose 12*v = -7 + j. Which is the nearest to -1? (a) -0.3 (b) -1 (c) v
b
Suppose 0 = z + 5, -3*z = 3*p + z + 26. Let x(d) = d**2 + 8*d - 2. Let s be x(-4). Let v be 1 + 0 - (-14)/s. Which is the closest to v? (a) -4 (b) p (c) -1
c
Let p = 220 + -208. Which is the nearest to 0? (a) -2/3 (b) p (c) 1
a
Let t = 31 + -15. Let m be (t + -15)*(-2)/(-2). What is the nearest to m in 0.1, 1/5, -5?
1/5
Let w = -1243.9 - -1244. Suppose -5*l + 0*l + 20 = 0. Let t(x) = -3*x + 6. Let u be t(l). Which is the nearest to u? (a) w (b) 5/4 (c) 3/4
a
Let r = -0.67 + 0.7. Let w = -7304 + 7304.1. Which is the closest to w? (a) 2/9 (b) r (c) 4
b
Let g be (16/(-24))/((-24)/36). Which is the nearest to -1? (a) 5 (b) g (c) 1/4
c
Let s = -0.0868 + -4.9132. What is the closest to -0.4 in 3, 11, s?
3
Let r = 6 - 4. Let s = r - 2. Let m = -1187 - -1188. What is the nearest to m in -4, s, 1/3?
1/3
Let s = 1169/6 - 194. Let x = -32.1 - -32. Which is the closest to 2/17? (a) 0.3 (b) s (c) x
a
Suppose -q - 5*t = 10, 4*q - q - 5*t = 10. What is the nearest to q in -2/5, -3, -2?
-2/5
Let j = -87 + 87. Let s = 3 + -7. Which is the nearest to 2? (a) j (b) -1 (c) s
a
Let j be (-6)/4 - 2/(-4). Let w be 10/25*5/2. Let t = 3/34 - -24/17. What is the closest to j in -1/4, w, t?
-1/4
Suppose 0 = 5*s - 15, 1 + 5 = 5*y - 3*s. Let v be (2/y)/((-3010)/(-42)). Let j = v - 444/1505. Which is the closest to 0.01? (a) 0 (b) 3 (c) j
a
Let m = 1.3 + 5.7. Let f = m + -8. Suppose 5*y - 63*x + 62*x - 22 = 0, 3*y + 5*x = 2. Which is the closest to f? (a) -2 (b) y (c) -5
a
Let q = 147 + -1032/7. Suppose -3*d - 4*i + 20 = -3, 2*i + 16 = 4*d. Suppose v - 2*o - 2*o + 5 = 0, 5*v - d*o + 10 = 0. What is the nearest to v in q, 3/7, -2?
q
Let f(d) = d**3 + 5*d**2 + 5*d + 6. Let k be f(-4). Let i be 0/((25/(-75))/(1/(-9))). What is the closest to i in -0.2, k, -5?
-0.2
Let x = -5266/7 + 752. Which is the nearest to -1? (a) 4 (b) x (c) 0.012
b
Let f = 9 + -7. Let v = 6.17 + -0.67. Let q = -5 + v. Which is the closest to 1? (a) 5 (b) f (c) q
c
Let h = -1 + 1. Let t = 0.5 + -0.2. Let z = -1/1351 - 2689/17563. Which is the nearest to h? (a) t (b) 1 (c) z
c
Let u = 0.0739 - 0.0739. What is the closest to -3.2 in -6, u, 1/4, -5?
-5
Let j = 1.86 - -0.04. Let o = j - 1.7. Which is the closest to 0.1? (a) -0.3 (b) o (c) 5
b
Let z(i) = -i**3 + 14*i**2 - 2*i + 4. Let n be z(14). What is the nearest to -2/3 in 0.2, -1, 5, n?
-1
Let w = 2/485 - -1926/3395. Suppose 0 = 4*n - 26 + 30. Let u = -0.11 - -0.51. What is the closest to n in -5, u, w?
u
Let n = -153/35 + 32/7. Let o = -6.5 - -50.5. Let r = -44.4 + o. What is the closest to 1 in -0.2, n, r?
n
Let q = -1.5 - -1.48. Let h = q + -0.08. What is the nearest to h in 3/8, 10, -5?
3/8
Let q = 11.81 - 13.1. Let y = 0.29 + q. Which is the nearest to 1? (a) -0.16 (b) y (c) 1/3
c
Let h = 1952/13 + -150. Which is the nearest to -4? (a) 0.5 (b) -3 (c) h
b
Let d = 306 - 278. What is the closest to 4 in -0.3, 0.5, d?
0.5
Let n = -67 + 71. Let b = 4 - n. Let g = -0.36 + 0.06. What is the nearest to b in -0.2, 4, g?
-0.2
Let o(y) = 3*y**2 - 14*y + 14. Let r be o(3). What is the nearest to r in 0.122, -2/5, -1/3?
-2/5
Let x = 0.7 + -0.9. Let k = 2.8 - 0.9. Let r = 2 - k. What is the nearest to r in 0, -0.4, x?
0
Let v = -18 + 18. Let i = -3 + 5. Which is the closest to 2? (a) v (b) -2 (c) i
c
Let p = 17.002 - 0.002. Let h = 17 - p. Let w = 2.1 - 14.1. What is the nearest to h in -1/3, -0.1, w?
-0.1
Let o = -1399 + 1402. Which is the closest to -1/7? (a) o (b) -2/15 (c) -0.08 (d) 2
b
Let p = -0.99 - 0.01. Let i = 69.5 - 69. Let x = -0.5 + 0.6. Which is the nearest to x? (a) i (b) p (c) -3
a
Let l = -5.5 - -5.422. Let x = l - -0.118. Which is the nearest to -0.1? (a) -2 (b) x (c) -5
b
Let g = 99 + -97.86. Let f = 0.14 - g. Let c = -100 - -99.9. What is the closest to c in f, -2/5, -3?
-2/5
Let m = -0.6 + -3.4. Let s = m + 4.1. What is the nearest to s in -0.3, -2, 2?
-0.3
Let x = -1 + -2. Let z = -4 + 3.98. Let h = -0.52 - z. Which is the closest to 1/2? (a) x (b) h (c) -1/4
c
Let v be (-3)/(8/((-128)/60)). Which is the nearest to v? (a) 0.3 (b) -1/8 (c) -0.5 (d) -4
a
Let p = -284 - -287. What is the nearest to 1 in -0.4, 0.5, -15, p?
0.5
Let m be 2 - 4/12*69. Let p be (-13 - -14) + 19/m. Which is the closest to -1/3? (a) p (b) 1 (c) 0.1
a
Let y be ((-93)/(-39) + -2)/(-1). Let v = y + 7/52. What is the closest to v in 6/11, -2/17, 0.5?
-2/17
Let o be -5 + 824/180 + (-6)/(-27). Which is the closest to -4? (a) 0.5 (b) o (c) -2/11
b
Suppose -3*n + 5*m = -18, -5*n + n - m + 1 = 0. Suppose 8*j = 9*j - n. Let c be (-1 + 0)/(18/(-4)). What is the closest to j in c, -3, -1/10?
c
Let k = 2/105 - -188/1155. What is the closest to -3/7 in -0.06, 0.3, k?
-0.06
Let o = 2/43 + -51/172. Let z = 12.1 + -1.1. Let i = 12 - z. Which is the nearest to i? (a) 3 (b) o (c) -5
b
Let v = -34 - -31. Let l be (-3)/5*2/v. What is the closest to -0.1 in l, -4, -1/2?
-1/2
Let o = -3.16 + -0.24. Let k = o - -3.1. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
390*i**2. What is o(f(k))?
-2567143800*k**4
Let g(k) = -4*k. Let x(u) = -4068*u + 8125*u + 3 - 4021*u. What is g(x(n))?
-144*n - 12
Let a(z) = 137*z. Let r(w) be the first derivative of 5*w**2/2 - 540. What is a(r(f))?
685*f
Let m(t) = -71057*t. Let o(v) = v**2 + 55*v. What is o(m(b))?
5049097249*b**2 - 3908135*b
Let l(p) = 24*p + 50774. Let g(o) = -12*o**2. Determine l(g(z)).
-288*z**2 + 50774
Let m(b) = 3411302*b. Let g(i) = 3*i. Determine m(g(x)).
10233906*x
Let f(o) = -22*o + 36. Let x(l) = -14*l + 25. Let a(n) = -7*f(n) + 10*x(n). Let q(i) = -3*i**2. Calculate a(q(c)).
-42*c**2 - 2
Let x(d) = d**2. Let i(f) = -f + 3. Let m(r) = -12*r + 63. Let t(o) = 27*i(o) - 2*m(o). Calculate t(x(u)).
-3*u**2 - 45
Suppose 15 = 4*i - 2*u + 3, i + 4 = 4*u. Let l(r) = i*r**2 - 5*r**2 - 11*r**2. Let d(w) be the third derivative of -w**5/15 + 141*w**2. Give l(d(v)).
-192*v**4
Let s(b) = b**2. Let r(k) be the first derivative of k**6/360 + 7*k**5/120 - 299*k**3/3 + 257. Let x(y) be the third derivative of r(y). What is s(x(l))?
l**4 + 14*l**3 + 49*l**2
Let v(q) = -2*q - 7. Let p(y) = 5124*y**2 + 2562*y + 8967. Let o(f) = -p(f) - 1281*v(f). Let j(r) = -2*r**2. Give j(o(h)).
-52510752*h**4
Let s(a) = 2*a**2. Let u(h) = 0 + 470529*h**2 + 2 - 473520*h**2 - 2. Determine u(s(q)).
-11964*q**4
Let m(n) be the first derivative of -2/3*n**3 + 0*n**2 - 81 + 0*n. Let z(u) be the third derivative of -11*u**4/8 + u**3/6 - u**2. Calculate m(z(s)).
-2178*s**2 + 132*s - 2
Let f(b) = 233*b. Let l(n) be the third derivative of 3*n**5/10 - 175*n**2 - 7. Calculate f(l(x)).
4194*x**2
Let f(k) be the second derivative of 1/6*k**5 + 0*k**3 + 0*k**4 + 0 - 31*k + 9*k**2. Let r(v) be the first derivative of f(v). Let g(o) = 3*o. What is g(r(t))?
30*t**2
Let f(a) = 3*a**2 + 5*a. Let z(x) be the first derivative of 2*x**2 + 156. Calculate z(f(j)).
12*j**2 + 20*j
Let r(o) = -o. Let w(p) be the first derivative of -143*p**2/2 + 4*p + 2638. Give r(w(v)).
143*v - 4
Let p(f) = f**2 + 4*f + 44. Let s(r) = -9*r - 99. Let a(h) = 9*p(h) + 4*s(h). Let m(v) = 100*v. Give a(m(u)).
90000*u**2
Let y(k) = -21798*k. Let l(t) = -3*t + 2002. Give l(y(i)).
65394*i + 2002
Suppose 5*j - 27 = -5*w + 28, 25 = 5*w. Let b(n) = 2*n**2 - n - 1. Let d(z) = 42*z**2 - 6*z - 6. Let c(s) = j*b(s) - d(s). Let m(i) = -6*i. Calculate c(m(x)).
-1080*x**2
Let c(i) = i**2 + 36*i. Let w(y) = -33*y**2 + 2*y**2 + 28*y**2. Determine c(w(t)).
9*t**4 - 108*t**2
Let j(t) = -2184*t**2 - 1. Let z(d) = 14*d**2 - 30*d + 10. Let g(q) = 24*q**2 - 51*q + 17. Let n(b) = 10*g(b) - 17*z(b). Give n(j(y)).
9539712*y**4 + 8736*y**2 + 2
Let t(q) = 10*q. Let o(z) be the third derivative of -z**5/12 - 5107*z**2. Determine o(t(w)).
-500*w**2
Let n(q) = -24*q. Let z(b) be the first derivative of -5/2*b**2 - 62 + 0*b. What is z(n(j))?
120*j
Let k(m) = -2*m - 1. Let q(a) = 76 + 30*a + 51 + 55 - 158. Let t(o) = -24*k(o) - q(o). Let u(l) = -l + l + l + 0. Give t(u(d)).
18*d
Let w(u) = -5926558*u. Let t(b) = -7*b. Give t(w(p)).
41485906*p
Let t(x) be the first derivative of x**2 + 2047. Let n(u) = u + 601. Determine n(t(s)).
2*s + 601
Let h(q) be the second derivative of 0*q**3 + 0*q**2 + 1/6*q**4 - 2*q + 151. Let w(g) = 7*g. Calculate h(w(b)).
98*b**2
Let m(y) = -24*y + 58. Let g(x) = 20*x - 58. Let u(o) = 11*g(o) + 10*m(o). Let v(l) = l**2. Determine u(v(k)).
-20*k**2 - 58
Let m(p) = p. Let i(b) be the second derivative of -1 - 2*b + 43/2*b**2 + 1/3*b**3. Give i(m(t)).
2*t + 43
Let t(o) = 2*o + 755416 - 755416. Let z(a) = 4870*a**2. What is z(t(q))?
19480*q**2
Let p(d) be the first derivative of -276 + 23/2*d**2 + 0*d. Let w(k) = 7*k. Give p(w(x)).
161*x
Let v(h) be the second derivative of 11*h**4/12 - h. Let n = 100 + -98. Let f(i) = 1278 - 636 + n*i - 642. Determine f(v(l)).
22*l**2
Let u(a) = 3*a. Let o(r) = 4*r - 2. Let c(x) be the third derivative of -x**4/24 + x**3/6 - 4*x**2 + x. Let w(b) = -2*c(b) - o(b). Determine u(w(d)).
-6*d
Let c(t) = 2*t. Let q(y) be the first derivative of -y**3 + 72*y - 1662. Determine q(c(o)).
-12*o**2 + 72
Let d(s) = -s**2. Suppose -k + 0*k - 263 = -3*b, -2*b = 2*k - 186. Let f(t) = -t - 61 + t + b*t**2 + 61. Determine f(d(v)).
89*v**4
Let g(j) = j**2 + j - 3. Let p be g(7). Let y = p - 39. Let a(l) = -7*l**2 + 19*l**2 - y*l**2. Let n(m) = 2*m**2 - 5*m. Calculate a(n(q)).
-8*q**4 + 40*q**3 - 50*q**2
Let y(f) = -2368*f. Let r(w) = 15*w**2 - 7*w - 8. Calculate y(r(t)).
-35520*t**2 + 16576*t + 18944
Let a(t) = 17*t. Let w(y) be the second derivative of y**7/840 + y**4/2 + 6*y - 8. Let d(k) be the third derivative of w(k). Give d(a(i)).
867*i**2
Let l(s) = -s - 627. Let t(w) be the second derivative of w**4/6 + 196*w + 13. Give l(t(r)).
-2*r**2 - 627
Let j(t) = 505467 - 505467 - 2*t**2. Let n(f) = -f**2. Let h(p) be the second derivative of -p**4/3 - 2*p. Let x(i) = 4*h(i) - 11*n(i). Give x(j(w)).
-20*w**4
Let u(j) = -5*j. Let i(o) = 6*o**2 + 76395*o - 2. Give u(i(q)).
-30*q**2 - 381975*q + 10
Let w(t) = 12*t**2. Let y(v) = 5 - 27*v - 2 - 13. Let d(r) = r - 2. Let k(g) = 5*d(g) - y(g). Calculate k(w(x)).
384*x**2
Let g(c) = 742174*c. Let z(i) = 585*i**2. What is z(g(l))?
322231014071460*l**2
Let g(o) be the first derivative of -o**5/60 - 31*o**3 + o**2 + 96. Let b(r) be the third derivative of g(r). Let c(w) = 97*w**2 + 2*w. Give c(b(q)).
388*q**2 - 4*q
Let o(z) = -2*z - 360710. Let n(k) = -7*k. Determine o(n(a)).
14*a - 360710
Let o be 5*(1/2)/(5/10). Let r be (-3)/o + 13/5. Let h(w) = -2*w + 3*w + 2*w**r - w. Let t(f) = -17*f. What is t(h(z))?
-34*z**2
Let m(i) = 4*i. Let a(c) = -2*c**3 + 38*c**2 + 40*c + 8. Let t be a(20). Let w(x) = 2 - 2 + 45*x**2 - 93*x**2 + t*x**2. Calculate w(m(r)).
-640*r**2
Let b(s) = 8*s + 23*s - 32*s + 4*s. Let f(x) = x**3 - 7*x**2 + 7*x - 3. Let n be f(6). Let k(i) = 2*i - 3*i - n*i. Determine b(k(r)).
-12*r
Let j(y) = -y**2. Let s(l) = 69042*l + 2315. What is s(j(o))?
-69042*o**2 + 2315
Let r(c) = -223*c**2 - 28*c - 27. Let o(s) = 110*s**2 + 13*s + 12. Let p(f) = 9*o(f) + 4*r(f). Let w(k) = 2*k. Determine p(w(h)).
392*h**2 + 10*h
Let a(m) be the third derivative of -109*m**4/12 + 11681*m**2. Let v(w) = -18*w**2 + 3*w. Determine a(v(k)).
3924*k**2 - 654*k
Let d(m) = -237097*m + 118548*m + 118555*m. Let r(s) = -1110*s**2. Calculate r(d(z)).
-39960*z**2
Let l(j) = -27*j + 2. Let f(o) = -325*o + 25. Let y(q) = -2*f(q) + 25*l(q). Let r(d) = 12447*d - 6218*d + d**2 - 6229*d. Give r(y(c)).
625*c**2
Let x(c) = -2 - 13*c + 2 - 8*c. Let z(r) be the second derivative of -r**4/12 - 1804*r. Determine z(x(y)).
-441*y**2
Let t(m) = -m - 2105. Let g(o) = -10*o + 30. Determine g(t(i)).
10*i + 21080
Let j(h) = -2*h**2. Let p(r) = -218104*r**2 - 79*r. What is p(j(z))?
-872416*z**4 + 158*z**2
Suppose o - 5*o = -2*i - 2, -12 = -3*o - 2*i. Let t(l) be the second derivative of 0 + 0*l**o + 1/3*l**3 + 11*l. Let h(j) = 10*j**2. Calculate t(h(z)).
20*z**2
Let r(y) = -57*y. Let j(f) = -1686*f**2 - 8*f - 2. Give j(r(g)).
-5477814*g**2 + 456*g - 2
Let h(y) = 292*y**2. Let d(x) = 2*x**3 + 16*x**2 + 20*x + 39. Let o be d(-6). Let n(i) = -64*i + 129*i - o*i. What is n(h(k))?
584*k**2
Let t(z) be the third derivative of -z**7/180 - 55*z**4/8 + 49*z**2. Let v(l) be the second derivative of t(l). Let i(p) = 6*p. Determine v(i(d)).
-504*d**2
Let d(t) = 4657017*t**2. Let i(y) = 221*y + 1. What is i(d(z))?
1029200757*z**2 + 1
Let g(q) = -113*q. Let h(t) = -15*t**2 - 79*t**2 + 57*t**2. Determine g(h(w)).
4181*w**2
Let f(d) = -3371*d**2 - 4*d - 274. Let c(s) = -4*s. Calculate f(c(p)).
-53936*p**2 + 16*p - 274
Let o(i) = 9*i + 25. Let b(w) = -27*w**2 + 8*w - 112. Let h(g) = -17*g**2 + 5*g - 70. Let a(d) = 5*b(d) - 8*h(d). Calculate a(o(k)).
81*k**2 + 450*k + 625
Let q(z) = -21*z + 14*z + 12*z - 3*z. Let b(g) = 345*g. Determine b(q(k)).
690*k
Let r(s) = -162*s**2. Let j(q) = 1 - 2679*q - 14*q**2 + 5356*q - 2677*q. Determine j(r(o)).
-367416*o**4 + 1
Let i(h) = 2*h + 18. Let j(l) be the second derivative of -l**3/6 - 4*l**2 - 37*l. Let t(z) = -4*i(z) - 9*j(z). Let b(d) = d - 10. Determine t(b(m)).
m - 10
Let q(n) be the third derivative of -n**5/30 - 2*n**2 - 269*n - 3. Let x(c) = -96*c - 5. Let j(d) = 48*d + 2. Let s(t) = -7*j(t) - 3*x(t). Determine q(s(g)).
-4608*g**2 + 192*g - 2
Let w(a) = 14*a + 101. Let m(i) = -1764*i - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
*b = -6. Determine c(b).
-3
Let r be 0 - (-5 - 57/(-12)). Let c(q) be the first derivative of -1/2*q**2 + 0*q - 1 + 2/3*q**3 + r*q**4. Calculate c(-2).
2
Let d(s) = -s**3 + 3*s**2 + 2. Let t be d(3). Suppose t + 1 = 3*a. Let k(u) = 1 + a - 3*u + 0*u**2 + 0*u + u**2. Calculate k(3).
2
Let d(g) = g**3 - 4*g**2 + 2*g - 1. Let b(o) = -4*o - 16. Let x be b(-10). Let z be 2/(4*3/x). Calculate d(z).
7
Let q(m) = -m**3 + m**2 - m + 1. Let s(y) = 4*y**3 + 2*y**2 + 9*y + 3. Let i(d) = 3*q(d) + s(d). Calculate i(-4).
-2
Let u(v) = 2*v - 2. Let i be 3/6*-2 - 1. Let g(j) = -j**2 - 2*j - 2. Let z be g(i). What is u(z)?
-6
Suppose 47*j + 3 = 46*j. Let o(n) be the third derivative of 0*n + 0 - 1/2*n**3 + 1/8*n**4 - n**2 + 1/60*n**5. Calculate o(j).
-3
Let y(v) = v - 1. Let p be y(3). Let w(s) = -2*s**2 + 2*s. What is w(p)?
-4
Let c(n) = -n**2 + 9*n - 4. Suppose 3*r + 47 = 68. Determine c(r).
10
Suppose -3*a = 9, -4*u + 2 = -0*u - 2*a. Let h(s) = -2*s + 5. Let d(c) = c + 1. Let z(n) = -6*d(n) + h(n). Give z(u).
7
Let o(r) = 14*r - 3 - 10*r + 4 + 1. Let m be -3 - (0 + -2 + 3). Give o(m).
-14
Let b(w) be the first derivative of w**2/2 + 5*w + 10. Give b(0).
5
Let w(x) = -x**3 + 6*x**2 + 4*x + 5. Let a(k) = k**3 - 3*k**2 - 9*k + 2. Let v be a(5). Determine w(v).
-16
Let k(l) = -5*l**3 + l**2 + 6*l**3 - 1 - 1 - 5*l + 4*l**2. What is k(-6)?
-8
Let k(o) = -o**2 + 3*o - 4. Suppose 62 = 3*d + 26. Suppose -7*v = -3*v - d. Determine k(v).
-4
Let o = 1 - 5. Suppose 0*a + 6 = 3*a. Let l(r) = r**2 + 4 - 4*r - 6 - 2*r**a. Give l(o).
-2
Let k(t) = -38*t + 83*t - 32*t + 9 + t**2. Give k(-13).
9
Let w(j) = -1. Let u(p) = p. Let c(i) = u(i) - 5*w(i). Let t be c(-5). Let x(d) be the first derivative of -d**3/3 + d**2/2 - d + 11. Determine x(t).
-1
Let t(q) be the third derivative of -q**6/15 + q**5/30 - q**3/6 - q**2. Suppose -1 = -2*s + 3. Let b = s + -1. What is t(b)?
-7
Let r be 3 - (1 - 0) - 1. Let h(l) = -1995*l + 3995*l - 2001*l + 1 + l**3. What is h(r)?
1
Let a(r) = 9 - 4*r - 1 + 7*r - r**2 - 1. What is a(6)?
-11
Let m = 12 - 7. Let i(r) = 5*r**3 - 9*r**2 + 5*r - 11. Let o(u) = -6*u**3 + 10*u**2 - 6*u + 12. Let z(h) = m*i(h) + 4*o(h). Determine z(5).
-2
Let b(l) = -l**2 + l + 2. Let m be b(0). Let n(a) = 5 - m - 4 - 5*a. Calculate n(-1).
4
Suppose -2*f + 13 = 3*i - 5, 4*f = 3*i. Let t be ((-2)/5)/(i/(-40)). Suppose -t*p + 4*y + 0 + 8 = 0, -2*p = 5*y - 11. Let o(d) = -3*d + 1. What is o(p)?
-8
Let b(l) be the third derivative of 0 - 1/6*l**4 + 3*l**2 + 0*l + 0*l**3. Determine b(1).
-4
Let g(f) be the third derivative of -f**5/60 + f**4/4 - 5*f**3/6 + 8*f**2. Give g(6).
-5
Suppose 5*c - 25 = 0, c + 5 - 35 = 5*r. Suppose -2*w + 21 = 7. Let j(f) = 2*f + f**2 + w*f + 1 - 5*f. What is j(r)?
6
Suppose 13 - 3 = 5*n. Suppose 2 = 5*l - 2*s, 5*s - 6 = -2*l + 18. Let q(c) = -2*c + 2 + 3 - l. What is q(n)?
-1
Let d(g) = -44*g + 1 + g**2 + 101*g - 52*g. Calculate d(-4).
-3
Suppose y - 4 = -2. Suppose y*n = 4*n + 12. Let j(m) = -m**2 - 5*m - 2. Determine j(n).
-8
Let k(z) = -2*z**2 + 3*z**2 + 0*z**2 - 2. Suppose j + 5*l = -4*j + 110, -100 = -5*j - 3*l. Suppose 4*p + 2*c = p - j, 5*p = 5*c + 5. What is k(p)?
7
Let c = 1 + 1. Let g(a) = 1 - c + a - 2. Calculate g(5).
2
Suppose -5*v = 1 + 19. Let t(b) = -b**3 - 2*b**2 + 5*b - 3. Let d be t(v). Let h be (-2)/6 - 15/d. Let x(i) = 2*i**3 + 4*i**2 + 2*i. Give x(h).
-4
Let h(y) = -y**3 + 6*y**2 - 6*y + 4. Suppose 0 = j + 4*f, 2*j - 3 = -5*f - 0*f. What is h(j)?
12
Let m = -7 + 9. Let q(x) = x - 1. Give q(m).
1
Let y(o) be the third derivative of -o**4/8 + o**3 + 4*o**2. Let z be 3/(3*1/5). Determine y(z).
-9
Let g(b) = -b**2 - 3*b + 48. Let m be g(-9). Let l(i) = i**2 + 8*i + 1. Determine l(m).
-11
Let b be (16/(-20))/(2/10). Let a(v) = 5*v**2 - v. Let m(g) = 5*g**2 - g. Let x(p) = b*a(p) + 3*m(p). Suppose -s + 0 = -1. Give x(s).
-4
Suppose -2*a = -17 + 21. Let m(k) = -k**2 - 2*k - 2. Calculate m(a).
-2
Let j(i) = -5*i + 2. Suppose 5*s = 3*s + 8. Let c = 5 - 7. Let t = c + s. Give j(t).
-8
Let i(h) = -h**3 - 6*h**2 - 5*h - 7. Suppose 9 - 4 = 5*b. Suppose b + 4 = -m. Determine i(m).
-7
Let t(a) = -a + 4. Let b(j) = -3*j - 1. Suppose -2*v - 2 = 2*z, -4*v + 5*z + 10 + 22 = 0. Suppose -v*o = -2*f - 3, 4*o - f = f + 2. Let l be b(o). What is t(l)?
2
Let p(f) = -f**3 - f**2 - f. Let j(l) = -6*l**3 - 4*l**2 - 4*l + 6. Suppose -3*b + 5*q - 24 = 16, -4*b = -3*q + 35. Let g(s) = b*p(s) + j(s). Calculate g(0).
6
Let b(k) = -5 + k**2 - 6*k**2 + k**3 - 1. Let s be (-1 + -3)*10/(-8). Give b(s).
-6
Let o(i) = i + 4. Let b(v) = -2*v + 5. Let r be (-4 - -2)*10/(-4). Let d be b(r). Determine o(d).
-1
Let b(i) be the first derivative of i**2/2 + 10*i + 2. Determine b(0).
10
Let b be (-68)/12 - 2/6. Let i(q) = 4*q + 7. Let m(a) be the third derivative of -11*a**4/24 - 10*a**3/3 + 5*a**2. Let u(x) = 8*i(x) + 3*m(x). What is u(b)?
2
Let k(g) be the second derivative of -5*g**2 - 3*g + 0 + 1/6*g**3. Determine k(6).
-4
Let d(q) = -2*q**3 - 12*q**2 - 23*q - 25. Let v(w) = w**3 + 6*w**2 + 12*w + 13. Let k = 9 + 2. Let p(b) = k*v(b) + 6*d(b). Determine p(-5).
-2
Let x(c) be the third derivative of -c**5/60 - c**4/3 - c**3 - 28*c**2. Give x(-7).
1
Let t(p) be the third derivative of -p**5/60 - p**3/2 - 3*p**2. Let m(i) = 4*i**2 + 10. Let a(j) = -2*m(j) - 7*t(j). Determine a(-1).
0
Suppose 0 = 3*n - r + 19, -3*n + 4*r - 31 = -0*n. Let k(f) = 6*f**2 + 0*f + 7*f - 3 + 9 + f**3. Give k(n).
-4
Let j(t) = -2*t + 7. Let s be j(6). Let b(r) be the first derivative of -r**2/2 - 6*r - 23. Give b(s).
-1
Let r(v) be the third derivative of v**5/60 + v**4/24 - v**3/6 - v**2. Let c be 6*(28/(-6) - -4). Give r(c).
11
Suppose 0*z = -2*z. Let s(w) = -w**3 + w - 7. Determine s(z).
-7
Let a = -15 - -14. Suppose 4*o + 11 + 9 = 0. Let n(h) = -8*h**2 - 2. Let c(z) = -17*z**2 - 5. Let d(g) = o*n(g) + 2*c(g). What is d(a)?
6
Let b(o) = 2*o**2 + 10*o - 3. Let w(d) = d**2 + 9*d - 3. Let z(m) = 2*b(m) - 3*w(m). Calculate z(6).
-3
Let x = 20 + -19. Suppose 0 = 2*o - 2*u + 8, o + o - 5*u = x. Let g(j) = -j - 1. Give g(o).
6
Let x = 54 - 29. Suppose -6*h = -h - x. Let m(n) = 3*n - 2. Let v(g) = g. Let t(o) = 2*m(o) - 4*v(o). What is t(h)?
6
Let o = 95 - 91. Let p(z) = z**3 - 4*z**2 + 2*z + 2. What is p(o)?
10
Suppose 0*r = 3*r - 15. Let p = -3 + r. Let m(d) = 2*d - 2. Give m(p).
2
Let a(i) = 4*i**2 - 2*i + 9. Let s(w) = w**3 - w**2 + w + 2. Let c(b) = a(b) - s(b). Determine c(5).
-8
Let y(c) = -5 + 3*c - 4*c + c**2 + 3*c - 2. Determine y(-5).
8
Let k(d) be the third derivative of d**6/60 + d**5/30 + d**4/12 + d**3/6 + d**2. Let v = -5 - -4. What is k(v)?
-1
Let j be (5 - 3)*(-3)/2. Let v(s) = 1 - 2*s - s**2 - 3*s**2 + 3*s**2. Give v(j).
-2
Let k be -6*(0 - (-4)/6). Let o(y) = -y**3 + y**2 + 2*y + 9. Let f(g) = g**3 - g - 8. Let s(d) = -6*f(d) - 5*o(d). What is s(k)?
3
Let w(o) = o**2 + 7*o + 2. Let c be w(-7). Let z(v) = -5 - 4*v + 7*v - v**2 - 2*v**c + 2*v**2. Give z(4).
-9
Let s(v) = -7*v - 2*v**3 - 2*v**3 - 1 + 3*v**3 - 4 - 5*v**2. Calculate s(-4).
7
Let b(c) = -c**2 + 11 - 12 - c**3 + 0*c**3. Give b(-2).
3
Let g(h) = 3*h**2 + 9*h + 12. Let v(a) = 19*a - a**2 + 10 + 5 + 8*a**2 + 10. Let n(c) = -9*g(c) + 4*v(c). Let f be 7 - 2/2*1. What is n(f)?
-2
Let a(c) be the third derivative of -c**4/24 + 2*c**3/3 + 2*c**2. Let v = 9 - 5. Calculate a(v).
0
Let z be (-3 - -4)/1*1. Let n(o) = 2*o**2 + 2*o - 4. Let y(t) = t**2 + 1. Let f(m) = n(m) + 3*y(m). Give f(z).
6
Let u(b) = 1 + 5*b - 3 + 5*b**2 - 4*b**2 + 0. Give u(-3).
-8
Let t = -6 - 3. Let b be (1 - t - 0) + 1. Let m(d) = d + d**3 - b + 9 + 0*d. What is m(2)?
8
Let h(p) be the third derivative of -1/120*p**6 + 1/12*p**4 + 1/30*p**5 + 0 + 0*p + 3*p**2 + 0*p**3. What is h(3)?
-3
Let b(w) = w - 13. Let o(y) = y**3 + 11*y**2 + 11*y + 10. Let a be o(-10). Suppose 5*l = -c + 15, a = -3*l + 7 + 2. Give b(c).
-13
Let a(o) = -5*o**2 - 9*o + 8. Let y(f) = f**2 + f - 1. Let b(i) = -a(i) - 4*y(i). Determine b(-5).
-4
Let q(s) = s**3 + 5*s**2 + s. Let b be q(-3). Suppose 0 = -3*o + b. Let k(n) = n - 10. Calculate k(o).
-5
Let g = -3 - -4. Suppose -5*i + p + 8 = 0, 0 = -4*i + p - 0 + 6. Let v(y) = 4*y + i - 2 + 2 - 3. Determine v(g).
3
Let f = -47 + 46. Let n(z) = -4*z**2 + z + 1. What is n(f)?
-4
Suppose -2*p = 3*p + y - 27, 0 = -4*y + 8. Suppose p*o - 6*o + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
t q be h(5). Let s(f) = -f + 1. Let t(l) = -3*l - 10. Let d(c) = -6*s(c) + t(c). What is the tens digit of d(q)?
3
What is the thousands digit of 9/(81/84)*632664/203?
9
Let p = -40117 - -85324. What is the hundreds digit of p?
2
Let f(d) = 8*d**3 - 2*d**2 - d - 2. Let n be f(2). Suppose 4 = 7*m - n. What is the tens digit of 695/m + (-17)/(-136)?
8
Let m(c) = -c**2 - 4*c - 16. Let k be m(-4). Let f(w) = -w**3 - 14*w**2 + 29*w + 23. What is the units digit of f(k)?
1
Let f(s) = s**3 - 2*s**2 + 117*s + 748. What is the ten thousands digit of f(44)?
8
What is the units digit of (19/(-2)*4)/(144747/20682 + -7)?
8
Suppose -273*s + 4620537 + 6836711 = -8067712. What is the tens digit of s?
2
Let o(x) = -4*x**3 + 13*x**2 - 61*x - 661. What is the thousands digit of o(-9)?
3
Suppose -6*l = -l - 3*r - 5, 0 = l - 5*r - 23. What is the units digit of (0 + 18/9)*(410 - l)?
4
Let t = -204 - -201. What is the hundreds digit of t + (-4)/(-6) + (-23870)/(-33)?
7
Let i(y) be the first derivative of -y**4/4 + 3*y**3 + 13*y**2/2 + 14*y - 191. What is the tens digit of i(10)?
4
Suppose 16*l - 5*q - 1015715 = 0, -4*q + 8433 = -4*l + 262381. What is the ten thousands digit of l?
6
Let w = 761 - 673. Suppose 5*f + 85 = 3*y, 152 = -y + 6*y + 2*f. What is the tens digit of y/(-45) + w/6?
1
Let a(w) = w + 15. Let g be a(23). Let p(u) = -68*u + g*u + 4 - 2. What is the units digit of p(-1)?
2
Suppose 0 = -427*m + 426*m + 9. Suppose 0 = -4*u + 6*g + 5146, 0 = -5*u - 4*g + m*g + 6440. What is the units digit of u?
1
Suppose -15*k - 16270 = -2*j - 13*k, 11*j + k - 89389 = 0. What is the thousands digit of j?
8
Let s = 92 - -110. What is the hundreds digit of (s/(-1))/(5 - (4 - -3))?
1
Let v(l) = 135*l - 26. Let n be 46/23 - (1 + -1). What is the hundreds digit of v(n)?
2
Suppose -4*p + 5*y + 16682 = -25175, y = -p + 10453. What is the tens digit of p?
5
Let o(c) = -5*c**2 - 21*c + 8. Let v be o(-6). What is the units digit of (-19251)/v + 3/(-6)?
8
Suppose -11*y + 15*y = -20. Let l(k) = -32*k + 7. What is the units digit of l(y)?
7
Suppose 0*z - 4*x - 204 = -4*z, -161 = -3*z + x. Suppose 1 + z = 2*s. Let k = s - -56. What is the tens digit of k?
8
Suppose 0 = -h + 5*h - 1576. Suppose -771 = -5*n + h. Suppose -5*f + n = -182. What is the tens digit of f?
8
Suppose -15709 = -28*v + 50175. Let g = -1315 + v. What is the hundreds digit of g?
0
Suppose 3*a - 24 + 24 = 0. Suppose a = -2*h + 1131 - 9. What is the tens digit of h?
6
Let y(m) be the first derivative of 2*m**3/3 + 57*m**2/2 + 167*m - 116. What is the hundreds digit of y(-38)?
8
Suppose 7 = n - x - 4*x, 0 = 3*n - 2*x - 8. Let i be (-3)/(15/n)*-10. Suppose 3*a = 0, i*c - 6*c = a - 112. What is the tens digit of c?
5
Suppose 25*m = 33*m - 29552. Suppose 20*n = 18*n + m. What is the thousands digit of n?
1
Let f = -256 + 258. Suppose 7 = 5*g - 13, -5*r = f*g - 2883. What is the units digit of r?
5
Suppose 2*g - g = 3*s + 5, -5*g = 3*s - 7. Suppose -3*a - 11 = 2*y + 24, -25 = a - g*y. What is the hundreds digit of 922/6 - ((-55)/a - 3)?
1
Let a = -16 + 28. Suppose 12 = -4*k - a. What is the units digit of (44/k)/(((-4)/(-21))/(-2))?
7
Suppose 54195 - 17195 = 8*v + 5*b, 5*v - 2*b - 23125 = 0. What is the hundreds digit of v?
6
Let i(y) be the third derivative of y**6/120 - y**5/5 - y**4/12 + 7*y**3/2 + 11*y**2. Let z be i(12). What is the tens digit of -2*((-6)/z)/(2/(-49))?
9
Let w = 379 + -55. Let r be 2/(-7) - w/(-7). What is the units digit of -3 + 0 + r + 2?
5
Suppose -2*l + 4*a + 7667 = -12205, 3*a = 6. What is the tens digit of l?
4
Let p(z) be the first derivative of 65*z**2 + 7*z - 61. What is the tens digit of p(4)?
2
Suppose -11*q + 17*q = 1488. Let o = q - 118. What is the units digit of o?
0
Suppose -3*g + 6467 + 935 = 4*z, 3*z - 5553 = -2*g. What is the tens digit of z?
5
Let i(p) = 1. Let a(s) = 2*s. Let o(x) = -a(x) - i(x). Let q be o(-4). What is the units digit of 3 + (-4236)/(-28) - 2/q?
4
Let f(h) = 230*h**2 + h - 34. What is the tens digit of f(4)?
5
Suppose 0 = 3*y - 3*w - 21645, -3*y - 5*w = -5571 - 16082. What is the units digit of y?
6
Let d(a) = 2*a**2 - a - 2. Let c(q) = -900*q**3 + 5*q**2 - 7*q - 4. Let h(y) = -c(y) + 4*d(y). What is the units digit of h(1)?
2
Let c(m) = -m**3 - 13*m**2 + 21*m + 98. Let j be c(-14). Suppose j = 10*t - 4996 + 236. What is the hundreds digit of t?
4
Let n(z) = 8*z**2 + 37*z - 18. Let s be n(-22). Suppose 5*r - d = -6*d + s, -5*d = -4*r + 2441. What is the tens digit of r?
0
Let i be 4/(-6)*-6 - -1. Let s(r) = 93 + 12*r + 89 + 96 + 98 - 367. What is the tens digit of s(i)?
6
Suppose 5*t + 4*i = 20954, -4*i + 7*i = -3*t + 12570. Suppose 4*m = 2*n + t, -2*m + 3*n + 335 = -1764. What is the thousands digit of m?
1
Suppose -3*j + 305 = -o - 319, -4*j + 3175 = -5*o. Let g = o - -957. What is the units digit of g?
8
Let h be -1*(-4)/(2 - 1). Suppose k = 3*d - h*k - 18, d + 2*k = 17. Suppose -d*u + 508 + 933 = 0. What is the units digit of u?
1
Suppose -28*b + 20*b + 40 = 0. Suppose -2*a - 972 = -5*j, 3*j - 4*a = b*j - 384. Let m = j + -116. What is the units digit of m?
8
Suppose 607*z = 588*z + 6600 + 26669. What is the hundreds digit of z?
7
Suppose -2*p = -132*l + 129*l - 22916, -4*l - 22914 = -2*p. What is the ten thousands digit of p?
1
Suppose 14*r = 16*r. Let a be (3 - -1) + -7 + r. What is the tens digit of 1*3/a + 92 + -7?
8
Suppose 2*h + 0 = 4. Let o(t) = 67*t**2 - 102*t**h + 17 - t**3 + 50*t**2. What is the units digit of o(15)?
7
Let c = 1276 - 675. Suppose -4*g + 4*q = c + 1363, 2*q = -6. Let h = -287 - g. What is the hundreds digit of h?
2
Suppose 3*b - 49524 = -5*f, -2*b - 5*f + 13718 = -19298. What is the tens digit of b?
0
Let s be ((-144)/20)/((-3)/30). What is the tens digit of (-12)/s + (-4)/((-48)/10934)?
1
Let k(m) = -2*m**2 - 154*m + 406. What is the hundreds digit of k(-76)?
5
Suppose 46*f = 53184 + 15770. What is the hundreds digit of f?
4
Suppose -2*b = -3*b + 2*k + 3, 4*b + 4*k = 24. Suppose 5*m - 9 = p, -b = -3*m + 4*p - 3. Suppose 3*y = -m*y + 50. What is the tens digit of y?
1
Let a(x) be the third derivative of x**5/60 - 13*x**4/24 + 11*x**3/3 - 2*x**2. Let w be a(16). Let d = -41 + w. What is the units digit of d?
9
Suppose -47*c - 28 = -54*c. Suppose -c*t = -2931 + 535. What is the hundreds digit of t?
5
What is the thousands digit of -8*((-4)/(-80))/((-8)/134180)?
6
Let r(z) = 59*z + 135. Let k be r(-10). What is the hundreds digit of (k/39)/(3/(-108))?
4
Suppose -3*j + 61 = 2*i, -5*i = -0*i - 5*j - 165. Suppose -2877 = -i*w + 5219. What is the hundreds digit of w?
2
Let j = -476 - -251. Let z be (-3866)/(-18) + (-50)/j. Let r = -72 + z. What is the tens digit of r?
4
Suppose 3*c - 8*c + 341 = 3*m, -3*m + 271 = -5*c. What is the units digit of m?
2
Suppose -5*o - 2*d + 2975 = 0, -4*d - 5 = 15. Let b = o - 284. What is the hundreds digit of b?
3
Suppose 4*g + 32 = 0, -67*g = 5*o - 68*g - 207183. What is the units digit of o?
5
Suppose 5*w = 4*n - 175663, -4*n - 4*w - 58792 + 234464 = 0. What is the units digit of n?
7
Let q be ((-17)/15 - -1) + 17276/(-30). Let f = q + 1544. What is the tens digit of f?
6
Let s be 18/(12/2) + 0. Suppose -2*f + 3*k = -305, -f = 6*k - s*k - 130. What is the hundreds digit of f?
1
What is the tens digit of 56013 - (-20 - (-216)/8)?
0
Let r = -2982 + 13103. What is the hundreds digit of r?
1
Suppose 0 = -3*h + 10 - 4. Suppose 2*t - 1932 = -z - 4*z, t - 773 = -h*z. Let a = z - 189. What is the tens digit of a?
9
Let m(a) = -18*a - 10. Let c be ((-1)/(-4)*-2)/((-7)/(-84)). Let k be m(c). Suppose -3*h = -k - 181. What is the tens digit of h?
9
Let z(l) = l**3 + 8*l**2 - 21*l + 30. Let v be z(-8). Suppose 9544 = -190*b + v*b. What is the tens digit of b?
9
Suppose -5*d = 2*i + 9, 2*i - 2*d - 21 = 3*d. Suppose 175 = u + 2*m, i*m + 304 = 2*u - 11. What is the hundreds digit of u?
1
Let c(f) = 1. Let z(t) = 9*t**2 - 8*t + 13. Let r(o) = 5*c(o) + z(o). Let y be r(5). Let n = -47 + y. What is the units digit of n?
6
Suppose 7*j + 5*j - 120 = 0. Let y be (-14)/35 + (-1)/j*-4. Let v(l) = -6*l + 2. What is the units digit of v(y)?
2
Let n(o) = -17*o**3 - 2*o**2 + 2. Let q be n(2). Let k be 24/8 + 2/((-2)/(-2)) + 281. Let s = q + k. What is the hundreds digit of s?
1
Suppose -35*s + 29*s = -12612. What is the thous
|
{
"pile_set_name": "DM Mathematics"
}
|
? (a) 19 (b) -2/13 (c) -1/27 (d) 0.4
d
What is the third biggest value in -4, 0, -2/149, 1/5?
-2/149
What is the second biggest value in 0.04, -4, -0.3, -0.05, 1/7?
0.04
Which is the second smallest value? (a) 5 (b) 3/116 (c) -0.3
b
Which is the biggest value? (a) 1/4 (b) 3/13 (c) -2
a
Which is the fourth biggest value? (a) -1/7 (b) 0.094 (c) 3 (d) -3
d
Which is the fifth smallest value? (a) -1 (b) -2 (c) 3 (d) 0.11 (e) 1/3
c
What is the second smallest value in 2/15, -305, 4/7?
2/15
What is the smallest value in -2, -24, 1?
-24
Which is the smallest value? (a) 5 (b) 7 (c) -229 (d) -1/4
c
What is the third biggest value in -0.4, -2/19, -16?
-16
Which is the fifth biggest value? (a) -2/15 (b) 0.1 (c) -0.1 (d) 0.01 (e) 1
a
What is the second biggest value in 4, -2, 0.2?
0.2
Which is the smallest value? (a) 18 (b) 0.2 (c) -0.15 (d) 1/3 (e) -5/2
e
What is the fourth smallest value in 0.05, 0, 2/15, 2/7?
2/7
What is the smallest value in -1, -0.3, 44, 0, 0.2?
-1
Which is the fifth smallest value? (a) -7 (b) -0.2 (c) 1/15 (d) -0.4 (e) 12/11
e
Which is the fourth smallest value? (a) 0.17 (b) 4/7 (c) 0 (d) 0.4
b
Which is the second smallest value? (a) 0 (b) -1 (c) -2.5 (d) 4
b
What is the biggest value in -0.5, 2, 0.07?
2
Which is the third smallest value? (a) -2/7 (b) -3 (c) 66 (d) -4
a
What is the third biggest value in -3, 2/5, 6.729?
-3
What is the second biggest value in -2/5, -0.1, -9, 0, 1/59?
0
What is the second biggest value in 2, 25/8, 0?
2
Which is the fifth biggest value? (a) 1 (b) 0 (c) -1/214 (d) 2/5 (e) 1/5
c
Which is the third biggest value? (a) -1.5 (b) 6 (c) 2
a
What is the third biggest value in -1/3, 0, 0.3, -23?
-1/3
Which is the biggest value? (a) 2 (b) -0.5 (c) 0.12 (d) -1/14 (e) -5
a
What is the third smallest value in -1, 1/4, -2, 20, -2/7?
-2/7
Which is the second biggest value? (a) -4 (b) -3/10 (c) 2/5
b
Which is the third smallest value? (a) 33/7 (b) -16 (c) -2/17
a
Which is the second biggest value? (a) -10 (b) 0 (c) 0.7 (d) 5
c
Which is the third smallest value? (a) 3/4 (b) 5 (c) -11/27 (d) -0.08 (e) -3/5
d
What is the second smallest value in 1826, -1, 2/5?
2/5
What is the third smallest value in 0.1, -7, 2/11, -823?
0.1
What is the second biggest value in -0.08, -6/7, 7, 0.2?
0.2
What is the biggest value in 17, 5, -4?
17
What is the smallest value in 3, -0.5, 5/3?
-0.5
What is the second smallest value in -2/17, 255, 0.4?
0.4
Which is the second biggest value? (a) -0.4 (b) 1/4 (c) -86
a
Which is the fourth biggest value? (a) -27 (b) 0.5 (c) -14 (d) -3
a
What is the biggest value in 1/97, 0.1, 8/11?
8/11
Which is the third smallest value? (a) -3 (b) -46.8 (c) -2/21 (d) -0.1 (e) 0.2
d
What is the fourth smallest value in 0, 2, -4, 172?
172
Which is the second smallest value? (a) 0.1 (b) 1/3 (c) -2/3 (d) 0.3
a
Which is the fourth biggest value? (a) 15/7 (b) 0.4 (c) 1 (d) -2/35
d
Which is the biggest value? (a) -262 (b) -5 (c) 0.3 (d) 3
d
What is the second biggest value in 31, 3, -2?
3
What is the biggest value in -12/5, 0.035, 3, 0?
3
Which is the biggest value? (a) -2 (b) 7/6 (c) -16 (d) -5
b
What is the smallest value in 4, -0.3, -4, 17?
-4
What is the fifth biggest value in -0.9, -2, -3/5, -0.2, 0.5?
-2
What is the fourth biggest value in -1, 4, -4/3, 13?
-4/3
Which is the third biggest value? (a) -0.052 (b) 3 (c) 0.3 (d) -3
a
Which is the third biggest value? (a) 4 (b) 800 (c) -2/17 (d) 2/17 (e) -0.5
d
Which is the smallest value? (a) -19 (b) 1 (c) -0.06
a
What is the third biggest value in -1/2, 29, -2, 5?
-1/2
What is the biggest value in -3/5, -7, 4?
4
Which is the third biggest value? (a) 0.1 (b) -1/2 (c) 192
b
Which is the second biggest value? (a) 2/11 (b) 4.3 (c) 0.1
a
What is the smallest value in -0.1, 1, 0.4, -0.68?
-0.68
Which is the second biggest value? (a) 3 (b) -22 (c) 1/2
c
What is the third biggest value in -0.41, 2, -13, 5?
-0.41
What is the fourth biggest value in 5, 0.82, 0.1, 2?
0.1
What is the third biggest value in 4, -3, 3, -0.4?
-0.4
What is the smallest value in -3, 2/11, -0.4, 0.014?
-3
What is the fourth smallest value in 7, -2/15, -0.4, -0.14?
7
What is the third smallest value in -1/3, 4, 0.06, 0.2?
0.2
What is the biggest value in 1, 2/9, 1/3, 0.18?
1
Which is the second smallest value? (a) 0.1 (b) 8.9 (c) 2 (d) 1/5
d
What is the second smallest value in -0.2, -2, 2/55, -0.1?
-0.2
What is the third biggest value in -5, -0.3, 2/5, 21, 0.1?
0.1
What is the third biggest value in -70, 0.1, 4?
-70
Which is the biggest value? (a) 59 (b) -0.7 (c) 14
a
What is the fourth biggest value in 2, -4, 37, 1?
-4
Which is the second smallest value? (a) 1/5 (b) 3 (c) -0.1 (d) 1
a
What is the fifth biggest value in 2, 8, -2/15, -1/4, 1?
-1/4
What is the biggest value in -1, -2/3, -150, -0.03?
-0.03
What is the second smallest value in 355, 0, -5?
0
Which is the second smallest value? (a) -22 (b) -1 (c) -2
c
What is the third biggest value in 1/7, -10, -4, -3?
-4
What is the fourth biggest value in 0.1, -4, 60, 9?
-4
Which is the third smallest value? (a) -3 (b) -106/7 (c) 2
c
What is the second smallest value in -1/6, 3/8, -7?
-1/6
What is the third biggest value in 4, 0.02, 2, -0.9, 0.2?
0.2
Which is the fifth biggest value? (a) -0.07 (b) 4 (c) 5 (d) -10 (e) 2
d
Which is the third smallest value? (a) 0.1 (b) -6 (c) -1 (d) -0.07 (e) -4
c
Which is the second smallest value? (a) 1/8 (b) 0.01 (c) 3
a
Which is the biggest value? (a) 161.7 (b) 5 (c) -0.5
a
What is the second biggest value in -5/17, -11, -0.1?
-5/17
Which is the third smallest value? (a) -2/9 (b) 2/23 (c) 0.07
b
What is the fourth biggest value in -0.4, 3, -15, 1?
-15
What is the smallest value in -4, -17, 4?
-17
Which is the biggest value? (a) 2 (b) -0.129 (c) 2/9
a
Which is the third biggest value? (a) -1/4 (b) -128 (c) -0.3
b
Which is the fourth biggest value? (a) -1/465 (b) -0.1 (c) -5 (d) -0.07
c
What is the second biggest value in -2/9, 3, 28?
3
Which is the third smallest value? (a) 1/4 (b) -30 (c) -2/9 (d) -5 (e) -1/4
e
What is the fourth smallest value in -3, -16/3, -1, 1/2?
1/2
Which is the biggest value? (a) -37 (b) -39 (c) 0.3
c
What is the smallest value in 4, 0.4, 2/103, 0, 0.1?
0
What is the third biggest value in -0.2, 532, -1, -0.1?
-0.2
Which is the biggest value? (a) -2/7 (b) -21 (c) -7/2 (d) -2
a
Which is the biggest value? (a) 20 (b) 11 (c) 2/9
a
Which is the fourth biggest value? (a) -0.14 (b) -3/8 (c) 19 (d) 0.5
b
What is the second smallest value in -2/9, 0.9, -1/8, 12, 0.1?
-1/8
Which is the smallest value? (a) -1/4 (b) 7 (c) 3/10 (d) -4 (e) 5
d
Which is the smallest value? (a) -1.2 (b) -3/5 (c) -9 (d) -0.1
c
Which is the third smallest value? (a) 2/5 (b) -21 (c) 0.5 (d) 0.9
c
What is the smallest value in 78, -3/4, -0.6?
-3/4
What is the smallest value in 0.3, 2/11, -0.2, -17?
-17
Which is the biggest value? (a) -12 (b) -3 (c) 0.33
c
What is the second smallest value in 4, 5, 6?
5
Which is the fifth biggest value? (a) 0.08 (b) -3 (c) -5 (d) 8 (e) 0.1
c
Which is the fifth biggest value? (a) 0.5 (b) 0.4 (c) 1 (d) 139 (e) 4
b
Which is the smallest value? (a) 5 (b) -4 (c) 11/7
b
What is the third smallest value in 28/19, -1, -3/8, -5?
-3/8
What is the smallest value in 0, 0.1, 0.2?
0
Which is the third biggest value? (a) -0.09 (b) -5 (c) 0.8
b
What is the third biggest value in 15, -0.11, -2?
-2
What is the second biggest value in -130, -2/21, -6/13?
-6/13
Which is the biggest value? (a) 3/127 (b) 1 (c) -2
b
What is the biggest value in 24, 5, -1/22?
24
Which is the second smallest value? (a) -15 (b) 1/4 (c) -4 (d) -10
d
What is the fifth smallest value in 1/11, 17, 1/3, 3, 0?
17
Which is the second biggest value? (a) 0.4 (b) 4 (c) 3/4 (d) 2 (e) -3
d
What is the third biggest value in 7, -5, 2/637, 2?
2/637
What is the third biggest value in -0.4, -1, -1303?
-1303
Which is the second biggest value? (a) 1 (b) -4 (c) -1.299 (d) -1/4 (e) -2
d
Which is the fourth smallest value? (a) -2/5 (b) 36 (c) 0 (d) -2
b
What is the third smallest value in 1/7, 3/7, -12, -8?
1/7
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
z, -3*i - x = -i + 1. Let n be 2 + 0/(-2) + i. Solve n = -3*r - r + 16 for r.
4
Let t(f) = 2*f - 3. Let w be t(4). Suppose -20 = -w*o - 0*o. Solve o*j + j = -5 for j.
-1
Suppose -3*g = -2*g + 5. Let d(l) = -l**2 + 3*l + 5. Let h be d(g). Let z be (-1)/(-4) + h/(-20). Solve u = z*u + 2 for u.
-2
Suppose -4*n - 5*p = 13, 8*n - 4*p = 3*n + 35. Solve -10 = -n*k + 2 for k.
4
Suppose 0 = 3*r - 5*s - 5, 0*s = r - 3*s + 1. Solve 3 = c + r for c.
-2
Let x be (-4)/18 - 276/(-27). Suppose -3*t = t - 20. Suppose -3*l = -t*l. Solve 0 = 2*d - l*d + x for d.
-5
Let k be (16/(-6))/(3/(-9)). Let o be (-1 - -4)*k/6. Solve -3*w = w + o for w.
-1
Let w(j) be the second derivative of -1/3*j**3 + 0 - 2*j + 1/2*j**2. Let q be w(-3). Solve -2*i - q - 3 = 0 for i.
-5
Suppose 3*r - 12 = -4*u, 5 = -5*u - r + 20. Let f(h) = h**2 - 2*h - 2. Let x be f(u). Solve -11 + x = -2*v for v.
5
Let t(a) = -a**2 - 8*a + 10. Let d be t(-9). Solve 2*s - d = s for s.
1
Let z be (0 + 2)/(2/3). Let k(o) = -o + 4. Let f(y) = -3. Let c(p) = z*k(p) + 5*f(p). Let r be c(-6). Solve 0*m - r = -3*m for m.
5
Let p = -14 - -17. Solve g = -p*g for g.
0
Let b(d) = -d**3 + 3*d**2 - d + 3. Let v be b(3). Suppose v = 2*u - u - 5. Let g = -13 - -14. Solve -g = u*a + 14 for a.
-3
Suppose -5 = -v + 2. Let c be (5/5 - -4)*1. Solve -3 = c*p + v for p.
-2
Suppose 0 = -6*i - 7 + 19. Let p be (-2)/7 - 32/(-14). Suppose -5*x - 8 = -4*f, -f + x - p*x = -i. Solve -2*r + f = -0*r for r.
1
Suppose -g - 12 = -4*z, 0 = -z - g - 3 + 1. Suppose -z*b - 12 = 2. Let x(w) = w**2 + 6*w - 2. Let q be x(b). Solve 10 = -q*u - 0 for u.
-2
Let o be 140/4 + 1 + -1. Suppose 280 + o = 5*a. Suppose 39 + a = 3*d. Solve -5*w + 9 = d for w.
-5
Let z = 7 - 8. Let y be z*0*(-1)/3. Solve 0*u + u + 4 = y for u.
-4
Let t(f) = f**2 + 8*f + 7. Suppose 4*k = k - 21. Let r be t(k). Solve r = 5*v - 3*v + 6 for v.
-3
Let o(u) = 4*u**2 - 1. Let p be o(-1). Solve -6 - 3 = p*d for d.
-3
Let l be (((-2)/1)/(-4))/((-13)/(-52)). Solve 2*a = 2 + l for a.
2
Suppose 3*o + 18 + 0 = 0. Let m = -6 - o. Solve -4*s + m*s = 8 for s.
-2
Suppose 5*g - 4*v - 4 = 10, 3*g = -5*v + 1. Solve 0 = -3*z + 5 - g for z.
1
Let q be 1*(-2 + -1) - (-3 - 8). Solve 1 = 3*i - q for i.
3
Let v = 8 - 6. Suppose 3 = -4*t + v*w - 5, -4*w - 8 = 0. Let u be (-2)/(-4) + t/6. Solve u*y + y + 4 = 0 for y.
-4
Suppose -3*u - 14 = -4*w - 6*u, 1 = w + 2*u. Suppose -16 = -3*o + 11. Solve -4*y + o*y = -w for y.
-1
Suppose -2*m - 2 + 4 = 0. Let f(o) = 6*o**2 + 4*o - 2. Let b be f(m). Solve s + 3*s = -b for s.
-2
Let j = 15 - 10. Solve 2*k = 3 - j for k.
-1
Let k be ((-6)/5)/(3/((-30)/4)). Solve 0 = k*u - 1 - 14 for u.
5
Suppose -12 = 2*x - 48. Let i = 20 - x. Solve 2*k - i = -4 for k.
-1
Let l = 16 + -14. Solve r - 3*r + l = 0 for r.
1
Suppose 3*a + 0*a = 12. Suppose -a*p + 8 = -4*n - 0*n, -8 = -3*p + n. Solve 0 = -p*u - u for u.
0
Let y(j) = -2*j + 10. Let h be y(-2). Solve 6 = -4*i - h for i.
-5
Let t(f) = -8*f - 1. Let q be t(1). Let c = q - -14. Suppose -4*x + x + 4*g = -10, -2*x - 1 = c*g. Solve w - 3*w = -x for w.
1
Suppose -2*t + t + 7 = -3*p, 4*p = -5*t - 3. Let d be 8 + p + 1 + -3. Suppose 3*o - 48 = 12. Solve -y = d*y - o for y.
4
Suppose b + 28 = 102. Suppose 4*t = -5*k + b, 0*t = 3*t + 2*k - 59. Solve -4*h + t - 1 = 0 for h.
5
Let m = -40 - -50. Solve m = -4*w - 2 for w.
-3
Let m(o) = -2*o**2 + 11*o + 10. Let a be m(9). Let r be a/(-11) - 8/(-44). Solve -b = -0 - r for b.
5
Let r(b) = -b**3 + 10*b**2 - 8*b - 6. Let g be r(9). Suppose 2 = n + 3*d, 0*d = 5*n - 3*d - 10. Solve -n*m + m = -g for m.
3
Let n(z) = z**3 + 3*z**2 - 4*z + 5. Let c be n(-4). Suppose c*f + 0 = -5*y - 5, 0 = -5*y - 2*f + 1. Let w = y + -1. Solve w = 2*b + 4 + 2 for b.
-3
Let z be (0/(-6))/(1 - 3). Suppose 3*c + 4*x - 9 = 0, 4*c - 3*x + 2 - 14 = z. Solve -2*h - 3 = -c*h for h.
3
Let o(a) = -2*a + 1. Let p be o(-1). Suppose 5*x = p*q + x, 4*q - 28 = -4*x. Solve 2*y - y = q for y.
4
Let l be 4*4*(-78)/(-12). Let a = l + -71. Solve a = -5*v + 13 for v.
-4
Let w(x) be the third derivative of -x**4/24 + 5*x**3/3 + x**2. Let a be w(8). Suppose 0*l + 14 = a*l. Solve 0 = l*z - 4*z + 3 for z.
-1
Let s = 9 - 13. Let z = 6 + s. Solve -z = -2*a + a for a.
2
Suppose 2*d + 0*d = 10, 5*d + 19 = 4*f. Suppose -5*s + f = -5*n + 2*n, 0 = n - 4*s + 13. Solve -n*z = z - 12 for z.
3
Suppose 0 = -r - r + 4. Suppose -3*f + 15 = -q, -r*q + q = -f + 3. Let n be (-15)/f*2/(-1). Solve n = -4*x - 7 for x.
-3
Let g be (-3)/7 - (-12)/28. Solve -4*h - 2*h - 24 = g for h.
-4
Suppose -l - 4*l - 3*z = -82, -l + 2*z + 6 = 0. Let o = l - 14. Solve -v - 3 - 1 = o for v.
-4
Suppose 3*w = 6*w - y - 7, 5*w - 12 = 2*y. Solve 6 + w = -2*m for m.
-4
Suppose 10*q = -0*q + 10. Solve -2*n + q = 3 for n.
-1
Suppose 4*m - u - 31 = 0, -5*m - 3*u = 3 - 46. Solve -4 = -3*f + m for f.
4
Let d be 155/(-25) + 1/5. Let s be (3/d + 0)*-2. Suppose s + 4 = v. Solve v*l - 4 = 3*l for l.
2
Let v(n) = n**2 - 3*n - 7. Let j be v(5). Let o(b) = 2 + 0 + 4 - b. Let h be o(j). Solve 3*c = h - 6 for c.
-1
Let l = -3 - -5. Let o(p) = -p**2 + 2*p. Let g be o(l). Solve -u + 2*u - 5 = g for u.
5
Let t(f) = f**2 + 11*f - 23. Let q be t(-13). Solve -4*m = -q*m + 1 for m.
-1
Let s be (1 - (-3 + 3))*5. Let r = -2 + s. Solve -5*u = -r - 2 for u.
1
Let w be 10/55 + 31/11. Suppose k + 6 = 5*k + 2*y, 3*k = -3*y - w. Solve -s = -k*s for s.
0
Let m = 14 - 8. Let c = 14 - m. Solve 0 = 4*s - c - 4 for s.
3
Suppose -i - 4*i = 4*i. Solve i*k + k = -2 for k.
-2
Let a = -4 + 31. Solve 2 = -5*j + a for j.
5
Let p be 18/(-9) + -1 + 1. Let x = p + 9. Solve 3*o - 1 = -x for o.
-2
Let l be 8/3*((-1)/2 - -2). Solve 0 = -o + 2*o + l for o.
-4
Suppose -5*i - 5*g = 10, 5*i - 4*g + 5*g - 10 = 0. Solve -i - 1 = -a for a.
4
Let h = -27 - -52. Solve -3*j - 2*j + h = 0 for j.
5
Let g(j) = 2*j - 7. Let d be g(5). Let s = -17 - -32. Solve -d*v = -6*v + s for v.
5
Suppose -2*p - p + 12 = 0. Suppose 3*b + 3*s = 0, 7*b - 25 = p*b + 2*s. Solve -4*c = -b*c + 2 for c.
2
Let s be (-8)/(-1) + 0 + 0. Suppose -s = -3*x + 7. Suppose 6 = 4*v - 2*y, -x*v = -3*v - 3*y - 1. Solve -1 = v*t + 5 for t.
-3
Suppose h + 24 = 4*h. Let j be (h/(-6))/((-4)/6). Let b be (1/j)/(3/30). Solve -b*x + 4 + 16 = 0 for x.
4
Let m(b) = b**3 + 7*b**2 + 4*b - 12. Let r be m(-6). Let p = r - -8. Solve -c - p = c for c.
-4
Let v(l) = -l**3 + 3*l**2 - l + 1. Let p be v(2). Suppose 4 + p = s. Suppose 0 = -u + 2 - 0. Solve -s*b + 10 = -u*b for b.
2
Suppose 25 = 5*w + 4*h - 9*h, h = -5*w - 5. Solve -r + 0 + 2 = w for r.
2
Let u be 3 - (-2 + 17)/3. Let j be ((2 - 0) + -4)/u. Solve s - j - 3 = 0 for s.
4
Suppose 1 + 3 = n. Let p = 4 + 2. Suppose -3 = q, -n*o - p = q + q. Solve o = -2*b + b + 4 for b.
4
Suppose 4*m = -0*m + 40. Suppose -3*q + 8*q = m. Solve 3 = q*y - 5*y for y.
-1
Suppose 2*o + 0 = 4. Suppose 0 = 4*p - 2*n - 34, -2*p + 4*p + n = 7. Solve p - o = 2*i for i.
2
Let w be (-11)/3 - 5/15. Let r be (-15)/((-2)/w*-3). Suppose -6*d = -d - r. Solve -n + 3 = d*n for n.
1
Let r = -1 + 2. Let j be (-4)/(-14) - (-27)/(-21). Let s = r - j. Solve 4 = -s*o - 4 for o.
-4
Let k = -12 - -17. Let c(u) = 4*u + 5. Let w be c(k). Solve -3*m - w = 2*m for m.
-5
Suppose -2 = 2*m + 6. Let p = m - -6. Suppose -47 = -p*i + 9. Solve -i = -5*r - 8 for r.
4
Suppose -15 - 10 = -5*d. Suppose 5 = -3*w - 7, -4*t = d*w + 8. Solve 0 = 4*l - t*l - 5 for l.
5
Let s be -3*(88/(-12) - -4). Solve -3*z - s = -z for z.
-5
Suppose -4*f = -5*l + 25, 0*l + 3*f = 2*l - 10. Suppose -5*j = -5*p, -l*j + 2*p + 4 = -2. Suppose 3*v - 15 = -j*v. Solve 2*d = -v*d - 15 for d.
-3
Let f(g) = g + 5. Let r(p) = p - 1. Let l(t) = -f(t) - 4*r(t). Let v be l(-5). Suppose 0*m = 4*m - v. Solve -h - 5 = -m for h.
1
Suppose 0 = -5*m + 5*z + 30, 2*z - 4 - 2 = -4*m. Solve 4*o = m*o - 4 for o.
-4
Suppose 0 = 13*t - 2*t - 77. Solve -t = b - 3 for b.
-4
Let g = -11 + 14. Solve -4 + 13 = g*w for w.
3
Let g(a) be the second derivative of a**3/3 - a**2/2 + 5*a. Let q be g(1). Solve -y = -q + 2 for y.
-1
Let g = -6 - -3. Let h be 1/5 + g/15. Suppose -2*t - 4*w = -16, 5*w = -t - 1 + 15. Solve -p + t - 9 = h for p.
-5
Let y be 17 - 14 - (-1 - (-2 + 1)). Solve -2 = -y*o + 2*o for o.
2
Let y(g) = g**2 - 2*g - 2. Let j be y(4). Solve -j*r = -2*r for r.
0
Suppose -3*t + 199 + 8 = 0. Let r = t + -42. Suppose 0 = 2*x + x
|
{
"pile_set_name": "DM Mathematics"
}
|
4*z + 76 for z.
4
Solve -352 + 6 = -84*f + 242 for f.
7
Solve 89*i = -91*i + 1980 for i.
11
Solve 3253*j - 3276*j = -598 for j.
26
Solve -620*w + 65 = -625*w for w.
-13
Solve 56*p - 969 - 145 = -218 for p.
16
Solve -133572*v + 133546*v + 442 = 0 for v.
17
Solve -547*k - 307 = 447 - 207 for k.
-1
Solve 25*s = -566*s - 14184 for s.
-24
Solve 1896*r = 1883*r - 64 - 27 for r.
-7
Solve -10960*q - 864 = -11008*q for q.
18
Solve 167*m + 143 = 331 + 647 for m.
5
Solve -184*q + 3306 = 353*q + 84 for q.
6
Solve -364*w = -629*w - 5300 for w.
-20
Solve 0 = -27*m - 49 + 25 - 3 for m.
-1
Solve -72*a + 130 = -144*a + 82*a for a.
13
Solve 0 = 104*p + 82*p + 1488 for p.
-8
Solve 133 - 321 = 47*l for l.
-4
Solve -190*t = 668 - 3328 for t.
14
Solve -39*p - 179 + 218 = 0 for p.
1
Solve 0 = -54*a + 155*a - 82*a + 19 for a.
-1
Solve -15*p + 366 = 261 for p.
7
Solve 426 - 1076 = -112*l + 47*l for l.
10
Solve 129675 = 82*i + 131233 for i.
-19
Solve -50*h + 219 = 119*h + 50 for h.
1
Solve -37*i + 116 = 375 for i.
-7
Solve 1384 = 31*w + 58*w - 930 for w.
26
Solve -1424 = -66*z + 244*z for z.
-8
Solve -36*m = 73*m - 33*m - 1444 for m.
19
Solve -1907 = -56*q - 955 for q.
17
Solve -152 = -11*y + 32*y - 5 for y.
-7
Solve 119*b - 246*b + 180*b + 424 = 0 for b.
-8
Solve 1424*l + 2088 = 1496*l for l.
29
Solve -159*z + 325*z + 132 = 160*z for z.
-22
Solve 0 = -52*n + 37*n - 24*n + 39 for n.
1
Solve 8763*s + 216 = 4374*s + 4365*s for s.
-9
Solve -5564 = -40*t - 51*t - 8931 for t.
-37
Solve 14*l + 104814 = 104604 for l.
-15
Solve 214*x + 796 = 413*x for x.
4
Solve -222*r + 163*r = -236 for r.
4
Solve 129*u - 131*u = 8 for u.
-4
Solve -4089*w + 64 + 14 = -4102*w for w.
-6
Solve -75*s - 1290 - 1068 + 858 = 0 for s.
-20
Solve 0 = -47*l + 26461 - 25850 for l.
13
Solve -185*m + 1859 = -65 - 296 for m.
12
Solve -1076 = 1188*p + 7920 + 2884 for p.
-10
Solve -1902*q - 69272 = -1074*q + 1646*q for q.
-28
Solve 1804*p - 1806*p + 6 = 0 for p.
3
Solve 0 = 30*g - 198 - 258 + 126 for g.
11
Solve -79344*j = -79395*j - 510 for j.
-10
Solve 72*a - 73*a - 6 + 0 = 0 for a.
-6
Solve -173 = -276*x + 931 for x.
4
Solve -982*f + 1938*f = 985*f - 87 for f.
3
Solve 153*r + 116*r + 6187 = 0 for r.
-23
Solve -117*s + 13*s = 1248 for s.
-12
Solve 0 = -38*s + 3223 - 2577 for s.
17
Solve -133*f - 216*f - 6354 = 4*f for f.
-18
Solve -257328*w + 63 = -257337*w for w.
-7
Solve 10 + 72 = 10*g + 2 for g.
8
Solve 67874*m + 84 = 67916*m for m.
2
Solve -22*c - 20*c - 546 = 49*c for c.
-6
Solve 13*c + 6568 - 6633 = 0 for c.
5
Solve -7523*a + 7439*a + 504 = 0 for a.
6
Solve 0 = 1084*v - 1098*v + 98 for v.
7
Solve -1020 = 7*o - 950 for o.
-10
Solve -59*m + 2*m = -442 - 1382 for m.
32
Solve -98*n - 375 = -73*n for n.
-15
Solve -101*b - 2778 = 27*b + 335*b for b.
-6
Solve -3*z - 8*z = -15*z - 32 for z.
-8
Solve 258*r + 258*r - 449*r + 67 = 0 for r.
-1
Solve -1769*r - 140 = -1779*r for r.
14
Solve 152*f - 88 + 26 = 90 for f.
1
Solve -85 - 45 = -30*a + 500 for a.
21
Solve -348*k = -397*k - 196 for k.
-4
Solve 120 = -627*i + 639*i for i.
10
Solve -30*x - 103 = -69 + 26 for x.
-2
Solve 47*d + 1237 + 563 = -73*d for d.
-15
Solve -8975*v = -8492*v - 6279 for v.
13
Solve 0 = 14*o - 42*o - 30 + 170 for o.
5
Solve -155*p + 2364 - 1279 = 0 for p.
7
Solve 21*x + 135 = 513 for x.
18
Solve -725 - 639 = -62*v for v.
22
Solve -248 = 260*f - 198*f for f.
-4
Solve -601*o = -60*o - 5951 for o.
11
Solve 17601 + 25119 = -1424*z for z.
-30
Solve -27*s - 161990 + 161909 = 0 for s.
-3
Solve 457*d = 85*d + 3720 for d.
10
Solve 8681 - 8881 = -25*a for a.
8
Solve 25*v - 6438 = -6788 for v.
-14
Solve -12242*r = -12248*r + 162 for r.
27
Solve 505*p - 564*p = 649 for p.
-11
Solve 33*o = -10*o + 8*o + 280 for o.
8
Solve -149 + 44 = -70*k - 1085 for k.
-14
Solve 33*p - 18 = -429 - 150 for p.
-17
Solve 140*h + 1323 = 45*h - 7 for h.
-14
Solve -40*n - 452 = -298 - 274 for n.
3
Solve -4*a - 490 = 47*a + 224 for a.
-14
Solve 27*q + 2093 - 1742 = 0 for q.
-13
Solve -235*t + 1274 = -3896 for t.
22
Solve 0 = 341*w - 1105*w - 410*w + 15262 for w.
13
Solve -1506 = -270*a + 541 + 383 for a.
9
Solve 0 = 61*y + 36*y + 486 - 1 for y.
-5
Solve 95*t - 640 + 45 = -24*t for t.
5
Solve -79*y = -367 - 739 for y.
14
Solve -11*r + 58*r = 10*r - 74 for r.
-2
Solve 60*h + 190 = 490 for h.
5
Solve 3*k - 110 + 235 = 113 for k.
-4
Solve 205 = -406*r + 437*r + 701 for r.
-16
Solve 30*j + 18065 = 18065 for j.
0
Solve 2142*j - 186 = 2155*j - 69 for j.
-9
Solve 68*y + 16 - 109 = 37*y for y.
3
Solve 227*s + 198*s - 4106 = 2269 for s.
15
Solve -448 + 481 = 11*x for x.
3
Solve 38*m = -4690 + 4196 for m.
-13
Solve -107*x + 36*x + 1065 = 0 for x.
15
Solve -2623*p + 24 = -2625*p + 6 for p.
-9
Solve -20*g + 271 = 71 for g.
10
Solve 0 = 261*o - 220*o - 178 - 273 for o.
11
Solve -54*h = -131*h + 1694 for h.
22
Solve 248*o = 138*o - 1210 for o.
-11
Solve 60 = -37*f - 80 + 29 for f.
-3
Solve -382 = 25*z - 182 - 0 for z.
-8
Solve -165*n = -3786 + 4446 for n.
-4
Solve 88*i + 47 + 569 = 0 for i.
-7
Solve -25 = -7*r + 9*r - 23 for r.
-1
Solve 50*w + 7884 - 9284 = -50*w for w.
14
Solve -146*t = -310*t + 144*t + 360 for t.
18
Solve -193*d - 863 + 3951 = 0 for d.
16
Solve 0 = 195*t - 68*t for t.
0
Solve -20632*f = -20750*f - 3658 for f.
-31
Solve 5 = -12*h - 0*h + 29 for h.
2
Solve 9034 - 8956 = 13*l for l.
6
Solve 676*x - 94*x - 2706 = 204 for x.
5
Solve -3159*i = -3080*i - 445 + 2262 for i.
-23
Solve 649*r = 11353 - 2916 for r.
13
Solve -384*j = -2342 - 6106 for j.
22
Solve -748*s + 183*s + 18732 = 327*s for s.
21
Solve 180 = 11*h - 41*h for h.
-6
Solve 3614 = -25*c + 3739 for c.
5
Solve -18*y - 18*y - 80 = -44*y for y.
10
Solve -141*v + 4392 = 42*v for v.
24
Solve 33740 = 291*m - 1496*m for m.
-28
Solve 327*l + 4588 = 42*l - 2252 for l.
-24
Solve 0 = 2*x + 8582 - 8552 for x.
-15
Solve -96 = 26*q + 119 - 215 for q.
0
Solve -6583 = -662*o - 17676 - 4795 for o.
-24
Solve 2844 = 754*m - 517*m for m.
12
Solve 1402*f = -1416*f + 2735*f - 1162 for f.
-14
Solve 357 = 3565*v - 3586*v for v.
-17
Solve 62 = -29*r + 323 for r.
9
Solve 125*n - 656*n = -11151 for n.
21
Solve 80535*a - 80552*a - 289 = 0 for a.
-17
Solve 3*g + 177 + 417 = 36*g for g.
18
Solve -617 + 97 = -130*w for w.
4
Solve 0 = -2*a + 3*a - 2114 + 2103 for a.
11
Solve -112 = -6*i - 15*i - 7*i for i.
4
Solve -14*l - 1086 - 1427 = -373*l for l.
7
Solve -84*r + 222*r - 76 - 614 = 0 for r.
5
Solve 0 = -630*n + 616*n - 70 for n.
-5
Solve -8*h + 86*h + 234 = 0 for h.
-3
Solve -74*y = -170*y + 81*y - 105 for y.
-7
Solve 24 + 17 = -19*i - 54 for i.
-5
Solve 37 - 116 = 51*s + 74 for s.
-3
Solve 1344 + 364 = -122*w for w.
-14
Solve 1835*l - 1829*l = -134 + 44 for l.
-15
Solve 881*a = 7916 + 9704 for a.
20
Solve 5*g - 114 - 24 + 58 = 0 for g.
16
Solve -44*x + 9*x - 247 = 208 for x.
-13
Solve 108*g + 1077 + 485 = -2758 for g.
-40
Solve -64 = 44*r + 514 - 138 for r.
-10
Solve -115 + 51 = -16*p for p.
4
Solve 31*r - 24696 - 24476 + 49513 = 0 for r.
-11
Solve 1100 = -98*k + 43*k for k.
-20
Solve -g - 14263 = -14256 for g.
-7
Solve -12*x - 128*x + 483 = -1057 for x.
11
Solve 0 = -322*x + 961*x + 21726 for x.
-34
Solve -88*k + 363 = 33*k for k.
3
Solve -509 = -9*j - 410 for j.
11
Solve 77*z + 3020 + 514 = -37*z for z.
-31
Solve -129695 + 127935 = 80*t for t.
-22
Solve 41156*z = 41111*z - 1710 for z.
-38
Solve 0 = -65*u - 87*u - 226 - 382 for u.
-4
Solve 1133*q - 277*q = -22256 for q.
-26
Solve -444*q - 551*q = -1102*q - 3638 for q.
-34
Solve 8*k = -3*k - 54*k - 715 for k.
-11
Solve -33*t + 76*t = 64*t - 168 for t.
8
Solve 249*w + 18272 = -322*w for w.
-32
Solve 102*d = 427*d - 2925 for d.
9
Solve 294*d - 77*d + 1736 = 0 for d.
-8
Solve 0 = -4*s - 7 - 2 + 5 for s.
-1
Solve -276*y - 5220 = 41*y - 56*y for y.
-20
Solve -233*u - 38 + 1436 = 0 for u.
6
Solve 265*p - 231 = 254*p for p.
21
Solve 343 + 23520 = -915*i - 842 for i.
-27
Solve 4*q + 7*q - 37 = -136 for q.
-9
Solve 1625 = -11*x + 1581 for x.
-4
Solve 55*b - 1938 = -118*b + 224*b for b.
-38
Solve 49324*l - 49342*l = 288 for l.
-16
Solve -75*w - 15*w - 78 = -51*w for w.
-2
Solve -568 = -174*t + 215 + 261 for t.
6
Solve -176 = 802*j - 846*j for j.
4
Solve -355 = -72*j + 266 - 189 for j.
6
Solve -113*h - 7*h + 3197 = 19*h for h.
23
Solve 266*v - 3955 = 35 for v.
15
Solve -67 = 14*h + 6*h - 167 for h.
5
S
|
{
"pile_set_name": "DM Mathematics"
}
|
10)/(-20))?
-2/3
((-2)/3)/(15/(405/(-48)))
3/8
What is the value of -2*3/(-12)*(-3)/(-12)?
1/8
What is (2/1)/((-16)/8)?
-1
Calculate 1*((-2)/(-2))/(7/(-7)).
-1
Calculate ((-3)/12*-4)/((-1)/1).
-1
Evaluate (13/(78/8))/14.
2/21
What is 5/((-5)/4)*(-138)/(-1012)?
-6/11
What is the value of 20/(-12)*3/45?
-1/9
What is ((-29)/(-870)*75)/((-2)/(-8))?
10
Evaluate (12/(-50))/(15/(-25)).
2/5
What is the value of 1155/(-165)*(-1)/(-1)?
-7
Calculate 8/51*(-5)/((-100)/(-15)).
-2/17
What is the value of 1*-24*(-20)/60?
8
What is the value of 3/9*3/3?
1/3
(-4)/(4/1)*2/13
-2/13
Evaluate (-3)/9*12/(-18).
2/9
What is (12/(-16))/(-6*12/(-16))?
-1/6
Calculate (-1)/(3/15*15/(-9)).
3
What is (12/12)/((-2)/2)?
-1
What is the value of (32/(-40))/((-14)/(-5))?
-2/7
What is the value of 27/(-18)*8/(-78)?
2/13
What is (-33)/(-44)*4/(-1)?
-3
(40/(-12))/((-48)/(-72))
-5
What is the value of 7/336*(-44)/(-11)?
1/12
(71/213)/(1/(-2)*-1)
2/3
What is the value of (-14)/(-35)*20/12?
2/3
Calculate (21/(-3))/((-3)/(-15)*-5).
7
What is the value of (-108)/72*(-24)/(-9)?
-4
Evaluate -1*(5/(-3))/(-5)*-3.
1
Calculate 7/56*240/20.
3/2
Calculate ((-1)/(-11))/((-62)/124).
-2/11
What is the value of 2*20/336*14/20?
1/12
What is the value of (2/3)/(-4*1/(-6))?
1
Evaluate (2/(-4))/(1/8).
-4
18/(-9)*8/36
-4/9
What is the value of ((-56)/((-49)/(-7)))/10?
-4/5
What is (4/8)/(38/8)?
2/19
What is the value of (6/28*2)/(255/340)?
4/7
What is the value of (-1*(-4)/15)/((-12)/(-18))?
2/5
88/(-176)*2*6
-6
8/3*(22/(-12))/11
-4/9
Evaluate (30/(-10))/(3/(-1)).
1
Evaluate 20/12*3/15*3.
1
Calculate (38/228)/(3/(-4)).
-2/9
Calculate (2/33)/((-6)/(-9)).
1/11
What is (5/5)/((-2)/2)?
-1
((84/(-7))/6)/((-14)/(-3))
-3/7
What is 6*-1*15/(1350/(-15))?
1
Calculate -1*(-5)/(-2)*(-108)/180.
3/2
What is 15*(-9)/81*3?
-5
Calculate 50/5*(-4)/(-10).
4
Evaluate (-7)/((-7)/(-6))*27/27.
-6
Calculate ((-3)/(-6))/(4/2).
1/4
What is the value of 5/(40/(-8))*-1?
1
1/(((-1)/15)/((-19)/(-57)))
-5
Calculate (6/8*-1)/((-10)/(-8)).
-3/5
Calculate (2/(-3))/(5*(-12)/(-450)).
-5
(-1)/2*(-26)/13
1
What is the value of ((-2)/(14/(-3)))/((-6)/(-6))?
3/7
Evaluate 75/(-50)*8/(-42).
2/7
Calculate (154/(-21))/(-11)*18/(-32).
-3/8
Evaluate 1/2*100/((-120)/(-12)).
5
Calculate (258/215)/(3/(-15*1)).
-6
What is 3888/288*(-4)/6?
-9
Calculate (-2)/(2/4*(-272)/68).
1
Calculate (63/(-6))/(-7)*(-8)/(-6).
2
What is the value of 9*(-5)/(-45)*-3?
-3
((-6)/(-10))/(5/25)
3
What is the value of 35*(-26)/(-1365)*15?
10
Calculate 1/((-5)/((-20)/(-8)))*-4.
2
0*((-52)/8)/(-13)
0
Evaluate (1/2)/(-3*11/44).
-2/3
Evaluate ((-130)/39)/((-2)/(-3))*-1.
5
What is ((-8)/(-6))/((-240)/(-648)*63)?
2/35
Calculate ((-2)/(-7))/(11/((-616)/72)).
-2/9
Evaluate ((-69)/(-92))/(1/(-4)).
-3
Calculate 20*(52/(-4))/52.
-5
What is (12/(-21))/(((-108)/(-21))/(-2))?
2/9
Calculate (8/(-8))/(-3*2/(-6)).
-1
Evaluate (1/(-2)*3)/(120/(-16)).
1/5
What is (-1)/((15/(-5))/(-15))?
-5
Evaluate -4*(-10)/8*34/(-1105).
-2/13
Evaluate (5/(-30))/((-4)/18*2).
3/8
Evaluate 1/(-27)*660/110.
-2/9
(14/(-70))/(1/3)
-3/5
Evaluate -1*(-9)/(-84)*4*-1.
3/7
Calculate 1/(-2)*(-144)/12.
6
Evaluate (-4)/(12/3*-1).
1
What is the value of (12/(-20))/((-3)/(-15))?
-3
Calculate ((-2)/(-6))/((10/2)/60).
4
What is 952/(-3060)*6/(-14)?
2/15
(-5)/2*(-12)/(-15)
-2
Evaluate ((-42)/49)/(4/2).
-3/7
(-6)/(-15)*30/3
4
-10*((-21)/28)/(3/2)
5
((-8)/(-48))/(1/(27/6))
3/4
What is the value of 70/(-70)*3/9?
-1/3
(-1)/((-1)/(-6)*24/20)
-5
Evaluate -4*3*1/(-30).
2/5
What is (96/(-112))/(16/(-14))*-4?
-3
What is the value of ((-96)/(-6))/(-8)*2/(-36)?
1/9
What is the value of ((8/(-6))/2)/(4/(-6))?
1
Evaluate (2*21/(-112))/((-2)/16).
3
Evaluate (4/(-6))/((-3)/(-9)*-2).
1
What is (4/(-30))/(6/(-15)*-2)?
-1/6
Evaluate 9*3/12*(-2)/6.
-3/4
What is the value of 530/(-106)*4/(-150)?
2/15
Evaluate 6/8*(-13)/819*-48.
4/7
What is the value of ((-2)/(-24)*-1)/(28/(-32))?
2/21
Evaluate ((-1)/7)/(510/(-1071)).
3/10
((-48)/(-224))/(6/8)
2/7
Evaluate (16/4)/(120/4).
2/15
Calculate ((-1)/12)/(51/(-68)).
1/9
What is the value of -6*(-4)/(-40)*5?
-3
What is ((-4)/(-21))/4*549/183?
1/7
4*(-13)/(-1456)*12
3/7
What is 1*(0/1)/(-3)?
0
What is ((-1)/((-105)/(-24)))/(16/40)?
-4/7
Calculate (198/88)/((-6)/(-16)).
6
Calculate -6*(-7)/168*-4.
-1
3*(-9)/(81/(-6))*-2
-4
Evaluate ((-2)/5)/(77/(-55)).
2/7
Calculate ((-2)/(-6))/(3/(-9)).
-1
What is the value of (4*(-9)/48)/(-3)?
1/4
Evaluate (-2*2/(-4))/(243/54).
2/9
Calculate 4/((-4)/(-2))*(-2)/(-1).
4
(4/2)/(26/13)
1
Calculate ((-28)/42)/(2*6/9).
-1/2
(-126)/(-1155)*(-10)/(-6)
2/11
Calculate (-15*(-4)/50)/((-6)/(-20)).
4
5*18/(-135)*3/(-11)
2/11
Calculate (-1)/(20/(-15))*4/2.
3/2
0*(10/30)/(1/3)
0
What is (-4*1)/((-4)/(-12)*6)?
-2
Evaluate ((-56)/(-168))/((-14)/(-18)).
3/7
Calculate ((-420)/490)/((-2)/(-28)*2).
-6
Calculate (2*-2)/(9/9).
-4
10/45*15/(-2)
-5/3
Evaluate (-4)/(-3)*(-9)/(-36).
1/3
Evaluate (36/(-15))/(2/5).
-6
Evaluate (-85)/170*(-4)/2.
1
Calculate (-19)/((-950)/(-40))*1.
-4/5
Calculate ((3/(-8))/3)/(27/(-54)).
1/4
(8/(-16))/(15/4)
-2/15
What is 12/(-6)*3/(-66)?
1/11
4/(80/(-12))*(-30)/63
2/7
(3/45*6)/((-1)/5)
-2
What is the value of (12/6)/((-54)/(-27))?
1
(2/(-4))/((-572)/(-208))
-2/11
What is ((-28)/16)/7*(-8)/6?
1/3
(0/((-4)/(-1)))/3
0
What is the value of -12*3/(-6)*(-1)/3?
-2
Calculate ((-54)/(-252))/(6/8).
2/7
Evaluate ((-18)/10)/(4/40*-6).
3
What is the value of (60/10)/(42/14)?
2
What is (275/(-15))/(-11)*(-54)/(-15)?
6
Calculate ((-8)/40)/(6/30).
-1
What is ((-45)/198)/(105/(-84))?
2/11
Calculate (-4)/(-3)*6/(-4).
-2
Calculate ((9/(-33))/3)/((-2)/2).
1/11
What is (-5)/4*(-29)/(1160/(-16))?
-1/2
Evaluate (((-702)/(-12))/13)/(-12).
-3/8
What is (-1)/((10/(-3))/(-2))?
-3/5
3*5/((-60)/(-2))*-2
-1
What is (-18)/6*5/(-30)?
1/2
100/(-5)*(-4)/10
8
What is the value of (-2)/(((-4)/1)/2)?
1
Evaluate (-70)/90*6/21.
-2/9
Calculate 6*(-1)/(-16)*(-6)/(-9).
1/4
16/(-6)*657/292
-6
Evaluate 1*(8/8)/((-5)/(-1)).
1/5
Evaluate ((-28)/(-98))/(18/(-14)).
-2/9
((-35)/(-42))/(-1*(-5)/8)
4/3
(-5)/2*(-64)/20
8
3*(-6)/(-15)*(-320)/864
-4/9
3*(-32)/180*(-3)/(-2)
-4/5
Evaluate 340/(-272)*16/110.
-2/11
What is the value of 4/10*330/528?
1/4
Evaluate (-20)/(-6)*2/88*22.
5/3
Calculate (91/(-98))/(-13)*-2*2.
-2/7
(6/(-32)*-2)/((-42)/140)
-5/4
What is 2/4*21/21*0?
0
What is (-9)/(-66)*(-100)/75?
-2/11
What is the value of 335/(-134)*(-16)/(-10)?
-4
Calculate (45/(-3))/1*84/(-210).
6
What is 15/(-5)*(-3)/(-9)?
-1
What is the value of (-5)/15*9/(-15)?
1/5
Calculate (8/10)/((-126)/(-210)).
4/3
Evaluate (-7)/1*(-8)/(-8).
-7
Evaluate (-1)/3*((-600)/5)/(-8).
-5
What is the value of ((-19)/57)/(2/54)?
-9
What is the value of (0/(-2))/((-544)/(-272))?
0
Evaluate (0/16)/(2*1).
0
What is the value of 0/((5/(-1))/(-5))?
0
Calculate 3/9*(-234)/104.
-3/4
What is (3/204*2)/((-26)/(-104))?
2/17
Calculate (2/(-6))/(4/150*5).
-5/2
What is ((-36)/40)/(120/100)?
-3/4
Calculate ((-4)/6)/(6/(-9))*-1.
-1
Calculate -2*(-2)/4*3/6.
1/2
What is (-3)/(-14)*10/(-90)*12?
-2/7
What is the value of (5/2)/((-5)/(-10))?
5
Evaluate 6/(-4)*1*(-280)/504.
5/6
Calculate (-15)/(-25)*15/3.
3
What is (-10)/2*(-32)/64?
5/2
Calculate (2*(-4)/16)/((-1)/8).
4
What is 1*((-15)/(-3))/(-15)*3?
-1
What is the value of 1*-1*106/(-53)?
2
(9/15)/((-3)/((-45)/(-12)))
-3/4
What is ((81/(-9))/18)/(-5)?
1/10
What is the value of (3/(-5))/((-8)/40*-1)?
-3
(1/6)/((-5)/((-5)/1))
1/6
What is the value of (58/(-319))/((-3)/33)?
2
What is -4*-4*6/432?
2/9
-5*9/(-210)*4/(-3)
-2/7
Evaluate (((-22)/(-4))/(-11))/(3/(-2)).
1/3
What is 131/(-1179)*3/3*-1?
1/9
((-32)/(-20))/((-2)/5)
-4
Calculate (((-875)/(-42))/25)/(10/16).
4/3
What is the value of ((-9)/(-18))/((104/128)/13)?
8
What is the value of 5*2/(-2)*3/3?
-5
What is -1*50/150*1*3?
-1
What is the value of 170/(-68)*(8/35)/2?
-2/7
What is the value of (-5)/(-2)*208/(-260)?
-2
What is 0/(-4*(-5)/20*1)?
0
Evaluate (1*(-1)/14)/((-70)/(-280)).
-2/7
Evaluate (-1)/2*(32/18)/4.
-2/9
What is (-8*9/45)/2?
-4/5
Calculate 4/6*36/(-8).
-3
Calculate ((-10)/(-2)*-1)/(5/5).
-5
Calculate 4*(-5)/30*(-12)/(-8).
-1
What is the value of (174/(-1624))/(2/8)?
-3/7
2/3*4*(-12)/(-64)
1/2
What is (1/(-4*2/(-40)))/(-2)?
-5/2
Calculate (0/(-5))/(2/2).
0
Calculate (12/(-28))/((-8)/(-28)).
-3/2
What is (68/1190)/((-1)/5)?
-2/7
What is ((-6)/(-5))/(10*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
/2 - 7*h**2 - 21. Find the second derivative of t(d) wrt d.
420*d**3
Let d = 11 - 6. Suppose w = d*w - 12. Find the third derivative of 5*g**2 + 0*g**w - 2*g**2 + 2*g**3 wrt g.
12
Let o(i) = 5*i**4 - 3*i**3 - 5*i**2 + 3*i. Let v(g) = -g**3 - g**2 + g. Let j = -20 - -17. Let z(y) = j*v(y) + o(y). What is the third derivative of z(b) wrt b?
120*b
Let n(l) = l**3 + 5*l**2 + 5*l + 2. Let k be n(-3). Let c be (-2 - -3)/(3/9). Find the third derivative of 5*w**3 + 2*w**2 - k*w**c + 3*w**4 wrt w.
72*w
Let u(w) = -58*w**2 - 9*w + 122. Let s(h) = -29*h**2 - 5*h + 61. Let y(t) = -5*s(t) + 3*u(t). Find the first derivative of y(v) wrt v.
-58*v - 2
Let t(d) be the first derivative of -4*d**3/3 - 3*d**2/2 - 43*d + 61. What is the derivative of t(h) wrt h?
-8*h - 3
Let s(d) = 13*d**4 - 5*d**3 + 5*d**2 - 25. Let f(m) = -6*m**4 + 3*m**3 - 3*m**2 + 12. Let l(w) = 5*f(w) + 3*s(w). What is the first derivative of l(z) wrt z?
36*z**3
Let l(z) = -4*z**2 - 4*z - 2. Let r be l(-2). Let u be 4/r + 12/5. Differentiate 0 - 2*p + p + u with respect to p.
-1
Let p(k) be the third derivative of k**5/30 + k**4/12 + k**3/6 + k**2. Let n be p(-1). Differentiate 2*l + n - 2*l + 3*l**2 wrt l.
6*l
Let t(h) be the first derivative of -h**5/60 + h**4/12 + 2*h**3 - 4. Let o(f) be the third derivative of t(f). What is the derivative of o(c) wrt c?
-2
Let p(b) be the first derivative of -4*b**4 + 6*b**3 - 21. What is the third derivative of p(m) wrt m?
-96
Let c(v) be the first derivative of -v - 7 + 5/2*v**2. What is the first derivative of c(h) wrt h?
5
Let n(z) be the third derivative of -z**6/8 + z**4/3 - 13*z**2. Find the second derivative of n(f) wrt f.
-90*f
Let y(h) be the first derivative of 0*h**2 - 1/2*h**4 + 4 + 0*h + 2/3*h**3. What is the third derivative of y(o) wrt o?
-12
Let d(w) be the first derivative of -w**7/14 - 2*w**3/3 + 4*w - 3. Let h(n) be the first derivative of d(n). Find the second derivative of h(m) wrt m.
-60*m**3
Let l(k) be the third derivative of -k**5/10 - 2*k**3/3 + 2*k**2. What is the derivative of l(w) wrt w?
-12*w
What is the third derivative of -3*m**5 + 12*m**5 - 8*m**5 + 2*m**2 wrt m?
60*m**2
Let x(k) = k**5 + k. Let s(d) = 15*d**5 + 8*d. Let j(q) = 3*s(q) - 12*x(q). What is the second derivative of j(v) wrt v?
660*v**3
Suppose 4*k + 8 = -4*y, 16 = 3*y - 3*k - 2. Find the third derivative of -4*b**4 - b**4 + 9*b**4 + b**y wrt b.
96*b
Find the second derivative of -8*t**4 - 7*t + 9*t**4 - 14*t**4 wrt t.
-156*t**2
Let x(r) be the first derivative of -4*r + 1/2*r**4 + 0*r**3 + 0*r**2 - 1. What is the first derivative of x(z) wrt z?
6*z**2
Suppose -5*n - 3 - 2 = -5*x, 5*x - 25 = -5*n. What is the second derivative of 2*h**5 - h + 0*h**5 + n*h**5 wrt h?
80*h**3
Suppose -3*g - 2*w - 26 = 0, 6*w = 3*g + 2*w + 20. Let s = g - -11. What is the third derivative of q**3 - 2*q**2 + 0*q**3 + 0*q**s wrt q?
6
Let h(p) = 86*p**2 + 41*p. Let w(f) = -129*f**2 - 61*f. Let j(l) = -8*h(l) - 5*w(l). What is the second derivative of j(k) wrt k?
-86
Let n(f) = -f**3 - f**2 + f + 1. Let g(w) = 26*w**3 + 5*w**2 - 13*w - 5. Let y(s) = -g(s) - 5*n(s). Find the second derivative of y(d) wrt d.
-126*d
Let y(m) be the first derivative of 3*m**5/5 + 3*m**2/2 - 6. Find the second derivative of y(i) wrt i.
36*i**2
Let b be (-1)/(2 - 3) - -21. Find the second derivative of 7*o + 19*o**3 + o - b*o**3 wrt o.
-18*o
Let y(g) = -13*g - 17. Let o(n) = -7*n - 9. Suppose 23 = -4*x - 21. Let m(p) = x*o(p) + 6*y(p). Find the first derivative of m(k) wrt k.
-1
Let n(w) be the second derivative of w + 0 - 1/12*w**4 + 0*w**2 + 1/10*w**5 + 0*w**3. What is the third derivative of n(f) wrt f?
12
Let r(j) be the first derivative of j**6/6 - j**3/6 + 2*j + 6. Let o(l) be the first derivative of r(l). Find the second derivative of o(d) wrt d.
60*d**2
Let m(h) = -6*h + 13. Let z(n) = 1. Let t(u) = -m(u) - 3*z(u). What is the first derivative of t(f) wrt f?
6
Let w(b) = 2*b + 2. Let i(n) = -3*n + 3*n - 3*n - 3. Suppose 5*x + 0*x = -20. Let z(d) = x*w(d) - 3*i(d). Differentiate z(o) with respect to o.
1
Let d(y) be the first derivative of -9*y**5/5 - 11*y**2 - 16. What is the second derivative of d(t) wrt t?
-108*t**2
Find the second derivative of -6*m + m - 2*m**2 + 3*m**2 + 5*m**2 wrt m.
12
Let j(w) = -7*w**4 - 5*w**3 - 17*w**2. Let d(q) = -10*q**4 - 8*q**3 - 25*q**2. Let v(m) = 5*d(m) - 7*j(m). What is the third derivative of v(s) wrt s?
-24*s - 30
Let u(v) = 2*v - 1. Suppose -2*f = -3*f + 8. Let i(a) = f + a - 8. Let c(x) = 4*i(x) - 3*u(x). Differentiate c(k) with respect to k.
-2
Suppose 5*f + 8 = 4*n + 26, -n = -f + 4. Find the third derivative of -4*x**f + 0*x**2 - x**4 + 2*x**2 wrt x.
-24*x
Let d(l) = -21*l**3 + 10*l**2 + 3*l + 3. Let f(o) = o**3 + o**2 - o - 1. Let s(c) = -d(c) - 3*f(c). Find the third derivative of s(w) wrt w.
108
Let k(w) be the first derivative of -7*w**4/4 - 14*w + 11. Differentiate k(o) wrt o.
-21*o**2
Let q(h) be the second derivative of -h**7/70 + 5*h**4/24 + 3*h**2 + 3*h. Let c(x) be the first derivative of q(x). Find the second derivative of c(w) wrt w.
-36*w**2
Suppose 2*w - 2 = -3*u, -4*u = w + 3*w. Find the third derivative of 7*a**2 + 4*a**u + 8*a**3 + a**2 - a**2 wrt a.
48
Suppose -4*t + 2*q + 0*q + 18 = 0, 2*q + 9 = t. Suppose v = 2*f, -2 - 5 = -t*v - f. What is the second derivative of 0*h**5 + 0*h - v*h**5 - h wrt h?
-40*h**3
Let j = 9 + -7. Suppose 0*o - 10 = -j*o. What is the third derivative of i**2 + 3*i**5 + 4*i**o - 5*i**5 wrt i?
120*i**2
Suppose -3*p = -5*p - 7*p. Let d(g) be the third derivative of 4*g**2 + 0*g**3 + 0*g - 1/12*g**4 + p + 1/60*g**5. What is the second derivative of d(b) wrt b?
2
Find the first derivative of -18*o - 11*o - 45 - 15*o + 0 wrt o.
-44
Suppose 4*d - 10 = -d. Differentiate h**d + 1 - 4 + 0 - 1 with respect to h.
2*h
Let y(m) be the second derivative of -m**4/2 - m**2/2 + 8*m. Differentiate y(x) wrt x.
-12*x
Let h(y) = -10*y**2 - 4*y + 4. Let m(a) = -a**3 + 9*a**2 + 3*a - 3. Let q(c) = 3*h(c) + 4*m(c). Find the third derivative of q(w) wrt w.
-24
Let r = 3 - 0. What is the derivative of r + 0*v - 3*v + 0*v - 5 wrt v?
-3
Let u(k) = 2*k**3 - 27*k**2 + 5. Let t(p) = 3*p**3 - 41*p**2 + 8. Let v(b) = -5*t(b) + 8*u(b). What is the third derivative of v(l) wrt l?
6
What is the first derivative of -28 + 3*k + 13 + 4*k wrt k?
7
Let s be (6 + -4)*(3 + -1). What is the derivative of -1 - 3*w**s + 4*w**4 - 1 wrt w?
4*w**3
Let c(p) be the second derivative of -7*p**6/15 - p**4/6 - 13*p. What is the third derivative of c(u) wrt u?
-336*u
Differentiate 12 + 0 + 39*f + 0 with respect to f.
39
Suppose 4 = h, 4*h = a + 21 - 7. Suppose a*w = w + 2. Find the third derivative of 0*o**6 - o**6 + 5*o**2 - 2*o**w wrt o.
-120*o**3
Suppose 6 + 6 = 3*o. What is the derivative of -6*l**3 + 6*l**3 + 3*l**3 + o wrt l?
9*l**2
Let p(o) = -7*o - 8. Let s(m) = m + 1. Let d(g) = p(g) + 6*s(g). Differentiate d(x) with respect to x.
-1
What is the first derivative of -8 + 2*q + 5 - 5 - 9 wrt q?
2
Let n(s) be the second derivative of -4*s**4 - 31*s**2 + 65*s. Differentiate n(m) with respect to m.
-96*m
Let i(c) = -c + 2*c - 1 - 4*c**2 + 0*c + 3*c**2. Let t(r) = -r**2 + 3*r - 2. Let z(k) = 2*i(k) - t(k). Find the second derivative of z(h) wrt h.
-2
Let m(u) = u. Let v be m(5). Suppose 0 = -v*w + 2*p + 6, -w + 2*p = 2 - 8. Find the first derivative of w*r - 1 - r + 0*r wrt r.
-1
Let b = 0 + 5. Let i(l) = -l**4 + 5*l**3 + 5*l**2 + 6. Let o(c) = -3*c**4 + 18*c**3 + 18*c**2 + 21. Let v(p) = b*o(p) - 18*i(p). Differentiate v(d) wrt d.
12*d**3
Let h(q) = -4*q - 1. Let j(x) = -11*x - 3. Let k(g) = -4*g + 4. Let w be k(3). Let t(c) = w*h(c) + 3*j(c). Differentiate t(z) wrt z.
-1
Let b(a) = -a. Let x be 25/7 + 24/(-42). Let s(t) = 6*t**2 + 3*t + 1. Let h(w) = x*b(w) + s(w). What is the first derivative of h(v) wrt v?
12*v
Find the second derivative of 6*v**3 + 229*v + 4 - 221*v - 4 wrt v.
36*v
Let j(i) = -14*i**3 - 3*i**2 - 21*i - 6. Let s(y) = -y**3 + y - 1. Let z(n) = -j(n) + 6*s(n). What is the second derivative of z(l) wrt l?
48*l + 6
Let w(s) be the second derivative of -3*s**5/5 + s**4/12 - 8*s. Find the third derivative of w(l) wrt l.
-72
Suppose 8 = 4*g - 3*g. Let u = 3 + 0. Find the third derivative of 2*z**2 - 8*z**3 + g*z**u - 2*z**5 wrt z.
-120*z**2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
0*j + 7 = 2*o - j, 0 = 3*o - 3*j - 3. Suppose -o = -4*h + h. Which is smaller: -1 or h?
-1
Let k be ((-12)/15)/(366/(-45)). Is k smaller than 0?
False
Let g(x) = x**3 - 4*x**2 - 3. Let t be g(3). Let q be (-4)/t - (-4033)/(-15249). Let n = q + 4/221. Is -1 greater than or equal to n?
False
Suppose -4*r = -6*r + 2. Let j be (25/(-20))/(r/(-4)). Is 0 not equal to j?
True
Suppose -5*x = 4*h - 2 + 74, 0 = 4*x - h + 45. Is -12 bigger than x?
False
Let h be 2/8 + 2/8. Let v(p) = 6 + 3*p - 5 - p**2 + 3. Let o be v(4). Which is greater: h or o?
h
Let l = 0.003 + 55.997. Is -1 bigger than l?
False
Let l = -0.1 - -0.3. Let m = -1.8 - l. Let f = m - -1. Which is smaller: 0 or f?
f
Let x = 164 + -174.9. Let n = x - -9. Let u = n - -2. Which is bigger: -1/9 or u?
u
Let h(i) = i**3 + 6*i**2 + 5*i. Let l = 2 + 0. Let a(f) = -4*f + 3. Let n be a(l). Let u be h(n). Which is greater: 1/3 or u?
1/3
Let l = -0.035 - 0.065. Let h = 0.1 - 0.1. Let b = h + l. Which is smaller: 0.1 or b?
b
Let d(l) = -l**2 + 8*l + 3. Let n be d(8). Suppose b + 0*b + n*c + 1 = 0, -3*b = c - 5. Let a be ((-2)/b)/((-1)/1). Is -2/7 <= a?
True
Let p(o) = o**3 + 10*o**2 + 6*o - 3. Let i be p(-9). Let f be 28/30 - i/(-60). Which is smaller: 1 or f?
1
Let m be ((-976)/24)/((-8)/6). Let i = 30 - m. Which is smaller: 0.05 or i?
i
Let r be 5/20 + (-3)/(-20). Let b = 14 + -15. Is b > r?
False
Let c = 0 + -0.5. Let g = c - -2.5. Let w = g - 2.1. Are w and -2 equal?
False
Let n = -28 + 30. Let t be 1/(1/2) + 7. Let a be 3 - n - 15/t. Which is smaller: a or 0?
a
Suppose 90 = t + t. Let j = 3 + 6. Let i be ((-2)/5)/(j/t). Is i <= -2?
True
Let a = -24 - -25. Do a and -8/31 have different values?
True
Let v be (-3)/(-15) - (-1)/(-5). Let h = 7 - 4. Which is smaller: h or v?
v
Let j be (-57)/(-9) - 6/(-9). Suppose -3*o + 5*h = -j + 19, 3*o - h = 0. Let n be 1/(-2) - 20/(-16). Do o and n have different values?
True
Let x = -79/238 + 3/14. Which is bigger: 1 or x?
1
Let k = 0.29 - 0.49. Which is smaller: k or 4/13?
k
Suppose 0*o + 52 = -4*o. Let s = o - -11. Which is smaller: s or 0?
s
Let g = 1.3 - 0.8. Let j = g + 0.5. Which is smaller: 4 or j?
j
Let i be 50/(-180)*(-1 - 7/(-10)). Suppose 3*n - 5*z = 25, 3*z + 5 = -10. Which is smaller: i or n?
n
Let p = 3459 - 38013/11. Which is greater: 2 or p?
p
Let x = 5/8 - 1/2. Let z be (-10)/(-6)*((-32)/(-10))/(-8). Does x = z?
False
Let l = 8 - 8.7. Let u = 8 + -7.7. Let t = l - u. Is t < 2/3?
True
Let b be (-418)/(-56) - 10/(-35). Let r = -659/84 + b. Is r > 1?
False
Let j be ((-3)/(-6))/((-1)/10). Let f = j + 4. Let o be f/(-3) - (-1)/(-3). Is -3/2 >= o?
False
Let u(f) = -f**2 + 6*f + 10. Let q be u(8). Let l be 72/(-154) - q/21. Are 0.1 and l non-equal?
True
Let l be -5 + (-159)/(-40) - (1 + -2). Is l greater than 1?
False
Let g = -113/371 - -1/53. Suppose 2*w - 5*w - 5*x = 5, -4*w = -4*x - 36. Let b = w - 6. Is b greater than g?
False
Suppose 5*p = -6 - 19. Is p greater than -8?
True
Let b = -0.9 + -0.1. Let s = 4.2 - 4.2. Let l = s - b. Which is smaller: -1 or l?
-1
Let u = -1 - 6. Is u at least -6?
False
Let o = 0.07 + 0.05. Let c = o + -0.12. Which is smaller: 0.4 or c?
c
Suppose 3*b + 5 = 11. Let o(i) = i. Let h be o(1). Is b less than h?
False
Let p be (-4)/22 - 300/(-924). Which is smaller: -1 or p?
-1
Let h = -32 - -31. Suppose k - 6*k = -15. Let l be (-4)/3*k/10. Is l <= h?
False
Let c be (0 + -1 + 3)/17. Which is smaller: 0 or c?
0
Let u(t) = t**2 - 6*t + 8. Let s be u(7). Let x = 1397/2 + -717. Let o = s + x. Which is greater: o or -4?
o
Let p = -1.13 + 1.13. Are p and -67/3 nonequal?
True
Let a = -6 + 2. Let g be (-1 - a)/((-39)/26). Is -3 < g?
True
Let n = 3 + -3.1. Let w = n + 0.1. Which is smaller: w or 3?
w
Let k be 44/(-12) - 0 - -4. Let z be 2/(-4) - (-2)/4. Are z and k unequal?
True
Suppose 4*b = 2*b + 2. Let l be (-15)/85*(-2)/(-2). Is b != l?
True
Let j(n) = n**2 - 1. Let l be j(-1). Suppose 3*f + 6 = 3. Let d be (-2)/(-4)*(f + -1). Which is bigger: l or d?
l
Let i = 11 - 7. Let g be (-11)/(-12) - (-3)/i. Which is bigger: 2 or g?
2
Let b(y) = -y**3 + y**2 - y + 22. Let w be b(0). Let h be 3*(-8)/6*7. Let d be 3/6 + w/h. Is 4 equal to d?
False
Let v = -8.17 - -0.17. Let c = 14 + v. Let a = c + -6. Which is bigger: a or 3?
3
Let a be ((-15)/10)/(1/6). Let v = 8 + a. Which is bigger: 2/19 or v?
2/19
Let l = -2 + 1.8. Let o be (-12)/(-20)*50/45. Which is smaller: o or l?
l
Let s be -1 - -1*(2 - -1). Let a be (-49)/63 - s/9. Which is greater: 3/13 or a?
3/13
Let d(t) = t**3 + 9*t**2 - 12*t - 10. Let o be d(-10). Suppose l - 3*l = -o. Which is smaller: l or 4?
4
Let l be 6/14*(-368)/24. Let s = l - -216/35. Let d = 0.2 + 0. Which is greater: d or s?
d
Let v = 1708/17 + -101. Which is smaller: v or -2?
-2
Let y be (1/((-1)/2))/1. Is y less than -4/5?
True
Let c be 1 - -1 - -1 - -2. Suppose s - 2*s - 3*b - 4 = 0, -s + c*b = 20. Is s at least as big as -9?
False
Let w be (-6)/(-4)*3/(-9)*2. Are 1/46 and w non-equal?
True
Let r = -1 - 0. Which is smaller: r or -1/8?
r
Suppose 4*p + 8 = 28. Suppose 0 = 5*x - 15, 6*c - c - 10 = -p*x. Do c and 1/12 have the same value?
False
Let i = -21 - -19. Which is bigger: i or 0?
0
Suppose -5 - 5 = -2*t. Suppose -3*d + 3*h = -0*h, -t*h = -2*d - 3. Which is smaller: d or 0.1?
0.1
Let z(f) = 2*f**2 + 23*f + 1. Let u be z(-12). Are 13 and u nonequal?
False
Let p be -2 - 18/(3*-1). Let s be 4*(-2)/(p*-1). Suppose -z + s*u = u, 2*z - 2 = u. Are 2 and z nonequal?
False
Let a = -0.077 - -0.177. Is a greater than or equal to -1/13?
True
Suppose -p + 13 + 3 = 5*n, 4*n - 16 = 0. Let t be (-2 + 5)*p/(-6). Let m be t/(-8) - 45/140. Is -2 < m?
True
Let x be (-4 + 154/36)*2. Is 1 at most as big as x?
False
Let v(p) = -p + 11. Let b be v(7). Suppose -b*z - z = 0. Suppose 0 = -2*x + s - 10, -x - 8*s + 3*s - 16 = z. Are x and -6 nonequal?
False
Let q be (0 - -2) + (8 - 10). Which is greater: 3/50 or q?
3/50
Let j = -0.9 - -1. Let l = 53 + -44. Which is smaller: j or l?
j
Let z be 6/(-14) + (1 - 1). Is 1 less than or equal to z?
False
Let d = 0.9 + -1. Suppose -5*x + 2*a + 39 = 0, -3 = -x - x + 5*a. Let u be 3 - ((-3)/x - -3). Which is smaller: d or u?
d
Suppose 4*u + 28 = 208. Is u greater than 45?
False
Suppose 23 + 25 = -6*b. Is b at least as big as -7?
False
Let f = 53.3 + -49.3. Let t = -8 - -5. Is f bigger than t?
True
Let z = 178 + -182. Is z at most as big as -16?
False
Suppose w + 5 = 5*h + 3*w, -3*w = h - 14. Let x(y) = y**3 + 5*y**2 - 2*y - 4. Let q be x(-4). Let u = q - 21. Does h = u?
True
Let c be (-13)/3 + (-35)/(-7). Let d = 0.2 + -0.1. Let i = -0.2 + d. Which is smaller: i or c?
i
Let g = -0.9 - 0.1. Are 0.3 and g equal?
False
Suppose -v + 29 = -5*a - 1, 0 = 2*v - 4*a - 54. Suppose 7*b + v = 2*b. Is b <= -4?
True
Let d = 0.094 + -8.094. Is -1/5 at least d?
True
Suppose v - 282 = -5*n, -3*n - 106 = -5*n + 3*v. Let z be 11182/n + (-5)/20. Let c = -200 + z. Is c less than 0?
True
Let h = 0.02 - 0.22. Which is smaller: -0.5 or h?
-0.5
Let r = 19 + -27. Let c = r + 8. Suppose z + 3*b + 9 = 4*z, 0 = -3*z - 5*b - 23. Which is smaller: c or z?
z
Let y = -180.9 - -204. Let k = y - 23. Let v = 10 + -6. Which is smaller: k or v?
k
Let s = 35 - 103. Let n = s + 750/11. Let t = 79/12 + -25/4. Is t at least n?
True
Let p(k) = k**2 + 7*k + 6. Let n be p(-4). Which is smaller: n or -9?
-9
Let d = 79 + -715/9. Let b be (1 + 0)*1 - (-16)/(-16). Is d at least as big as b?
False
Let x be (3/(-2))/(-3)*-2. Which is smaller: 1 or x?
x
Let k be -6 + (4 - (-5 + 4)). Let d = -2 + 1/2. Is k at least d?
True
Let g = -2.1 - 4.9. Which is smaller: -1/2 or g?
g
Let t = -34 + 100/3. Which is smaller: 20 or t?
t
Suppose -6*p + 4*p - 10 = 0. Let h(d) = 8*d**2 + d**3 - 3*d**2 + 5 - 1 + d. Let b be h(p). Is b >= -1?
True
Let p(l) = l**2 + 6*l - 5. Let d be p(-7). Suppose 0 = -3*c - 3*f - 3, d*f + 2 = c + 2*c. Let z = -1 + c. Is -1 greater than or equal to z?
True
Suppose -6*k + 2*k + 96 = 0. Let p be k/(-14) - (-4)/(-14). Let l be ((-12)/(-8))/(3/(-4)). Is p != l?
False
Let p(d) = -d**3 + 3*d**2 - 2*d + 2. Let l be p(4). Which is bigger: -23 or l?
l
Suppose 0 = -4*h - 1 - 11. Let t be -3 - (-4)/((-4)/h). Which is smaller: t or -2/13?
-2/13
Suppose -4*w - 16 = -5*x, -2*w + 3*w + 4 = -4*x. Let j(q) = -q**2 + 6*q + 7. Let l be j(7). Let h be 3*(
|
{
"pile_set_name": "DM Mathematics"
}
|
e remainder when 492213 is divided by 41.
8
What is the remainder when 24340 is divided by 37?
31
What is the remainder when 828231 is divided by 423?
420
What is the remainder when 479577 is divided by 1208?
1
What is the remainder when 3343 is divided by 10?
3
What is the remainder when 88586 is divided by 2949?
116
Calculate the remainder when 19446 is divided by 1288.
126
What is the remainder when 12027 is divided by 907?
236
What is the remainder when 1421 is divided by 293?
249
What is the remainder when 616319 is divided by 144?
143
Calculate the remainder when 2892526 is divided by 48.
46
Calculate the remainder when 2221 is divided by 43.
28
Calculate the remainder when 12457 is divided by 6225.
7
Calculate the remainder when 128621 is divided by 75.
71
What is the remainder when 24074 is divided by 673?
519
Calculate the remainder when 751 is divided by 531.
220
What is the remainder when 817654 is divided by 145?
144
What is the remainder when 86906 is divided by 28597?
1115
Calculate the remainder when 8444 is divided by 2093.
72
What is the remainder when 1365 is divided by 795?
570
What is the remainder when 2672 is divided by 676?
644
What is the remainder when 91510 is divided by 11437?
14
What is the remainder when 7865 is divided by 20?
5
What is the remainder when 17495 is divided by 14?
9
Calculate the remainder when 35530 is divided by 7097.
45
What is the remainder when 346715 is divided by 57783?
17
What is the remainder when 8082 is divided by 112?
18
Calculate the remainder when 132523 is divided by 38.
17
What is the remainder when 14771 is divided by 263?
43
What is the remainder when 7173 is divided by 1182?
81
Calculate the remainder when 191819 is divided by 17.
8
What is the remainder when 37679 is divided by 1358?
1013
What is the remainder when 1224331 is divided by 189?
178
Calculate the remainder when 208976 is divided by 52244.
0
Calculate the remainder when 1000 is divided by 101.
91
Calculate the remainder when 196900 is divided by 70.
60
What is the remainder when 9907 is divided by 4931?
45
Calculate the remainder when 15001 is divided by 21.
7
Calculate the remainder when 1151170 is divided by 374.
372
What is the remainder when 98765 is divided by 6?
5
What is the remainder when 44804 is divided by 67?
48
Calculate the remainder when 153 is divided by 20.
13
Calculate the remainder when 10338 is divided by 272.
2
Calculate the remainder when 5264 is divided by 1406.
1046
What is the remainder when 10586 is divided by 759?
719
Calculate the remainder when 25408 is divided by 417.
388
Calculate the remainder when 36888 is divided by 9.
6
What is the remainder when 7874 is divided by 125?
124
Calculate the remainder when 759 is divided by 660.
99
Calculate the remainder when 115125 is divided by 280.
45
What is the remainder when 11859 is divided by 10?
9
Calculate the remainder when 2189427 is divided by 265.
262
Calculate the remainder when 351236 is divided by 58539.
2
Calculate the remainder when 63565 is divided by 47.
21
What is the remainder when 743 is divided by 308?
127
Calculate the remainder when 11035 is divided by 316.
291
What is the remainder when 649871 is divided by 44?
35
Calculate the remainder when 510749 is divided by 9.
8
Calculate the remainder when 116140 is divided by 854.
850
What is the remainder when 5699 is divided by 521?
489
Calculate the remainder when 2851 is divided by 709.
15
What is the remainder when 7136 is divided by 94?
86
Calculate the remainder when 103821 is divided by 16.
13
Calculate the remainder when 62748 is divided by 8962.
14
Calculate the remainder when 3649 is divided by 20.
9
What is the remainder when 832 is divided by 155?
57
What is the remainder when 5642 is divided by 332?
330
Calculate the remainder when 256463 is divided by 1357.
1347
What is the remainder when 9366 is divided by 72?
6
What is the remainder when 39372 is divided by 9839?
16
Calculate the remainder when 60028 is divided by 145.
143
What is the remainder when 68249 is divided by 425?
249
Calculate the remainder when 3462 is divided by 21.
18
What is the remainder when 14628 is divided by 1125?
3
What is the remainder when 7626 is divided by 23?
13
What is the remainder when 143458 is divided by 983?
923
What is the remainder when 371069 is divided by 7?
6
Calculate the remainder when 796351 is divided by 265438.
37
What is the remainder when 2492 is divided by 475?
117
What is the remainder when 3073 is divided by 44?
37
Calculate the remainder when 10578 is divided by 2076.
198
Calculate the remainder when 12467 is divided by 6228.
11
What is the remainder when 4370056 is divided by 1051?
1049
Calculate the remainder when 1109 is divided by 288.
245
What is the remainder when 22847 is divided by 116?
111
Calculate the remainder when 1953 is divided by 506.
435
What is the remainder when 330286 is divided by 12?
10
Calculate the remainder when 3020 is divided by 97.
13
What is the remainder when 408837 is divided by 734?
733
What is the remainder when 1450 is divided by 486?
478
Calculate the remainder when 298737 is divided by 780.
777
What is the remainder when 15989 is divided by 78?
77
Calculate the remainder when 150697 is divided by 43.
25
Calculate the remainder when 5892 is divided by 868.
684
Calculate the remainder when 6308 is divided by 484.
16
Calculate the remainder when 25194 is divided by 382.
364
Calculate the remainder when 134396 is divided by 420.
416
Calculate the remainder when 112841 is divided by 28207.
13
Calculate the remainder when 5418 is divided by 1093.
1046
Calculate the remainder when 2036 is divided by 552.
380
Calculate the remainder when 36118 is divided by 430.
428
Calculate the remainder when 1528 is divided by 207.
79
What is the remainder when 1252 is divided by 622?
8
What is the remainder when 2303 is divided by 10?
3
Calculate the remainder when 16908 is divided by 128.
12
Calculate the remainder when 12240 is divided by 1930.
660
What is the remainder when 28445 is divided by 37?
29
Calculate the remainder when 98559 is divided by 440.
439
Calculate the remainder when 90065 is divided by 217.
10
Calculate the remainder when 109156 is divided by 14.
12
What is the remainder when 67475 is divided by 241?
236
Calculate the remainder when 23827 is divided by 7935.
22
What is the remainder when 257935 is divided by 42985?
25
Calculate the remainder when 16283 is divided by 296.
3
Calculate the remainder when 85538 is divided by 260.
258
What is the remainder when 4693 is divided by 522?
517
What is the remainder when 7038 is divided by 242?
20
Calculate the remainder when 6487 is divided by 208.
39
What is the remainder when 969 is divided by 141?
123
Calculate the remainder when 13222 is divided by 2639.
27
What is the remainder when 7166 is divided by 1019?
33
Calculate the remainder when 40921 is divided by 40839.
82
Calculate the remainder when 962713 is divided by 8.
1
Calculate the remainder when 267516 is divided by 1365.
1341
Calculate the remainder when 1982 is divided by 219.
11
What is the remainder when 136246 is divided by 46?
40
Calculate the remainder when 1119 is divided by 342.
93
What is the remainder when 173211 is divided by 49?
45
What is the remainder when 26664 is divided by 140?
64
What is the remainder when 9908 is divided by 1164?
596
Calculate the remainder when 110338 is divided by 694.
686
Calculate the remainder when 223362 is divided by 71.
67
Calculate the remainder when 22265 is divided by 1199.
683
What is the remainder when 6155 is divided by 290?
65
Calculate the remainder when 4438 is divided by 196.
126
What is the remainder when 193524 is divided by 96760?
4
What is the remainder when 66844 is divided by 39?
37
Calculate the remainder when 65207 is divided by 104.
103
What is the remainder when 3205 is divided by 315?
55
What is the remainder when 890775 is divided by 227?
27
What is the remainder when 6539 is divided by 6525?
14
What is the remainder when 21463 is divided by 149?
7
What is the remainder when 38741 is divided by 35?
31
Calculate the remainder when 104317 is divided by 535.
527
Calculate the remainder when 61302 is divided by 79.
77
Calculate the remainder when 30836 is divided by 25
|
{
"pile_set_name": "DM Mathematics"
}
|
2*o**2 + o. Let f be l(h). Suppose q + 3*q = f. Solve k + 10 = -5*m - 0*k, 2*m + 3*k + 17 = q for m.
-1
Let u be (21 + -1)*-7*10/(-175). Suppose 5*b - 16 = 3*p, 5*b = -3*p + u*p + 20. Let w be 0 + 1 - (-2 + 1). Solve -j + w*r - b = 0, -2 + 4 = 2*r for j.
0
Let l be (3/15 + -1)*(13 + -18). Let t(p) = p**3 + 6*p**2 + 8. Let w be t(-6). Solve l*q - 12 = x, -4*q = -5*x + w - 4 for q.
4
Let i(l) = 4 - 3 - l + 2 + 5. Let z be i(5). Solve 0*v = -2*v + 5*d + 19, -z*v - 24 = 3*d for v.
-3
Suppose 0 = -12*r - 32 + 260. Suppose r*s = 17*s + 4. Solve -s = -5*f - 4*m - 1, 2*f - 4*m = 6 for f.
1
Suppose 9*h = -294 + 339. Solve -2*x - 3*v = -6, -h*v + 4 + 6 = 0 for x.
0
Suppose -330 = -10*t - t. Let u = 37 - t. Solve 0 = 5*n + 4*w - 31, n - 3*w = -4*w + u for n.
3
Let f be 9 - ((-10)/(-20))/(2/(-4)). Solve -4*o - 9 = -3*p - 26, 4*p = -o - f for p.
-3
Suppose 0 = 7*m - 2*m + 4*m. Solve 4*j - 2*y - 6 = m, 4*j = 2*y - 7*y + 13 for j.
2
Suppose 0*y - 3*h - 14 = -2*y, 5*y - 12 = -4*h. Suppose y*v + 81 = -5*g, 2*g - g - 9 = v. Let z = -10 - v. Solve 0 = -s - z*m - 6, -5 = s - 4*m - 15 for s.
2
Let y be (2/(-3))/(2/(-12)). Suppose -3*d = 5 + 1, 2*d + y = -5*z. Solve -2*t - 5*v + z*v = 10, 4*t = -5*v for t.
5
Let z(t) = -8*t**3 + 4*t**2 + 7*t + 2. Let o be z(-1). Solve 2*f + r = o, -4*f - 4 = -3*f - r for f.
1
Let h(i) = -3*i - 3. Let y be h(-2). Let q be -2*5/(10/y). Let a(c) = -3*c - 5. Let n be a(q). Solve n*z + z + 3*m + 12 = 0, 5*z - 4*m = 16 for z.
0
Let d = -656 - -668. Solve -4*u - 4*r + d = 0, -u + 5 = -4*r + 7*r for u.
2
Let f(u) be the third derivative of u**4/8 + u**3/6 + 15*u**2. Let v(y) = y - 3. Let n be v(4). Let a be f(n). Solve -a*m + 4*z - 8 = 0, -4*m + z - 8 = 3 for m.
-3
Let l be ((-1)/(-5))/(41/2255). Solve 3*h - 5*t = 17 + l, -4*h + t = -9 for h.
1
Suppose -240*n - 10 = -241*n. Solve 3*y = 2*z + 9, 0*y - 4*z = 2*y + n for y.
1
Suppose -180*n = -163*n. Solve 0 = x + 4*c - 18, n*c = -3*x + 5*c - 31 for x.
-2
Let z = 256 + -10. Suppose 13*x - 7*x - z = 0. Solve m + 11 = 4*c, -5*m - 5*c = -c - x for m.
5
Suppose -16 + 4 = -2*h. Suppose 120 = h*d - 2*d. Suppose 7*b = 9*b - d. Solve 10 + 2 = 3*m - 4*j, b = -2*m - 5*j for m.
0
Let q(y) = y - 7. Let j be q(8). Suppose -9 = -4*t - j. Let b be 18/1 + (-2)/t. Solve b = 5*u - n, 3*u - 6*u = -5*n + 3 for u.
4
Let b(h) = -h - 4. Let t = -11 - -4. Let c be b(t). Suppose 4*x + 5*d + 3 = 8, -3*d + c = x. Solve -3*r = y - 2, 3*y + 4 = -x*r + r for r.
1
Let x = 72 + -40. Let o = 5326 - 5323. Solve -o*z + 4*t + x = z, -36 = -5*z + 4*t for z.
4
Suppose 5*t - 9*t = -32. Suppose 0 = 6*l - 22 - t. Solve y - s = -2*s, -l*y = s for y.
0
Let f be 6/4*16/8. Solve -4*d = -3*y - 23, d = 4*y + f*d + 16 for y.
-5
Let d(j) = j**3 + 5*j**2 + 2*j - 4. Suppose -4*g + 4 = 20. Let a be d(g). Solve 0 = 2*c + 3*i, a*i = c + i + 9 for c.
-3
Let z = -45 + 53. Suppose z = -0*i + 4*i. Suppose 3*d - 6 = 0, d = f - 2*f + 7. Solve i*x = w, 3*x + 18 = -f*w + 2*w for w.
-4
Let r = -589 - -589. Solve -10 = -4*a - 2*x - 0, 3*x + 15 = r for a.
5
Let f(k) = k**3 - 5*k**2 - 5*k - 2. Let g be f(6). Let q be -2*(-1)/g*(14 + -8). Solve 0 = w + q*o + 3, -3*w = -5*w - o - 6 for w.
-3
Let v = -87 - -83. Let t be -3 - (v + 4 + -3). Solve t = -a - x, 0 = 4*a + a - x + 6 for a.
-1
Let x = 54 - 114. Let q = -49 - x. Solve 4*u - j = 2*j + q, -2*j = -4*u + 10 for u.
2
Let r(h) = -h**2 - 10*h + 11. Let i be r(-9). Let k = i + 11. Let d = k + -11. Solve -3*b + 5*c - 15 = 0, 0*c = -4*b - c - d for b.
-5
Suppose 12*g + 113 = 173. Solve -2*l = 3*s - 16, -3*s - 2*l - 4 = -g*s for s.
4
Suppose 17 = -0*n + 3*n + h, 5*n = -h + 25. Let m be ((-16)/n)/((-4)/(-1 - -3)). Solve -1 = 2*k + 4*v + 9, 0 = m*k - 3*v + 3 for k.
-3
Let d = -8 - -11. Suppose -2*r + 5*p = -0*p + 25, -5 = -d*r - p. Suppose r*h = -2*h + 38. Solve 4*i - 3*m - 13 = 0, -5*i + 3*m = 2*m - h for i.
4
Let p = -10 - -7. Let f be (p - -3)/(1/1). Suppose -j + f = -2. Solve 0 = -5*a - 2*z - 19 - 2, 2*z = j*a + 14 for a.
-5
Suppose 5*s - 4*o = 4, 0 = 7*s - o - 95 + 94. Let h(z) = z + 2*z - z. Let t be h(1). Solve 0 = n - s*n + 2, -4*k = -t*n + 16 for k.
-5
Let w(h) = -h**3 + h - 1. Let i be w(-2). Solve -3*r - y - 4 = 0, 5*r + 5 + 5 = -i*y for r.
-1
Let b be (6/(-15))/((-1)/5). Let m(g) = 0*g**2 - 4*g**2 + g**2 + 11*g + b*g**2 + 2. Let t be m(11). Solve 4*f = -2*d + 20, 0 = -0*f - 4*f + t*d + 4 for f.
3
Let g(y) be the first derivative of y**4/4 - 22*y**3/3 + y**2/2 - 17*y - 8. Let z be g(22). Solve -2*w + 7 = w - i, 7 = z*w + 3*i for w.
2
Let w(n) = -2*n**3 - 5*n**2 - n - 11. Let v(j) = j**3 + 4*j**2 + j + 10. Let k(h) = 3*v(h) + 2*w(h). Let f be k(3). Solve 3*r = d + d + 8, r = f*d + 4 for d.
-1
Let x be (10/(-2))/(2 - 3). Solve 4*g - 4*i = 12, -x*i + 0 = -10 for g.
5
Let v(j) = 3*j + 29. Let c be v(-8). Suppose 16 = 4*q - 4*m, -3*q - 5*m + 12 = -3*m. Solve b - k = -b + c, -b - q*k = 20 for b.
0
Suppose -4*z - 5*s - 73 + 122 = 0, -5*z = -4*s - 10. Solve 4*f + z = 5*u, 4*f = -3*u + 4 + 6 for u.
2
Suppose 0 = -10*t - 3*t + 130. Solve -2*j = 5*n - 4, 0 = n + 3*j + t - 3 for n.
2
Let q = 387 + -384. Let x(k) = k**3 - 14*k**2 + 12*k + 13. Let c be x(13). Solve 3*l + q = -5*w, 23 = -c*l + 5*l - w for l.
4
Let l(n) be the first derivative of -n**3/3 - 9*n**2/2 - 16*n - 13. Let i be l(-6). Solve h - 4 = 5*z, 0 = 3*z + i*h - 6*h + 16 for z.
0
Suppose -p = -2*k - 12, 14 = 4*p + 2*k - 54. Suppose -2*r - 41 = -5*z + 2*r, 0 = -4*r - p. Solve -2*y + 25 = z*l, -2*l - l = 4*y - 29 for y.
5
Suppose 16 = 5*c - 4. Suppose -12*o - 460 = -520. Solve 5*u + 20 = -o*w, -4*u - c*w - 1 = -3*w for u.
1
Let f(n) = n**2 + 11*n + 19. Let l be f(-6). Let j = l + 11. Solve r - 1 = a, j = 5*r - 6 - 9 for a.
2
Let w(n) = -n**2 + 12*n - 10. Let r be w(7). Suppose 4*u + 3*a = 6*u + 15, -5*a = -r. Solve 3*b + 0*b - 4*i - 10 = u, -2*i - 16 = 4*b for b.
-2
Let z be 111/(-9) + 2/(-3). Let p be -1 + 20 + (-16 - z). Let f be p/(-40)*(-110)/2. Solve n = 3*h + 12, n = 3*h + 2*h + f for h.
-5
Suppose 3*m = 50 - 44. Solve -2*q = 2*t, -3*t - m*t = 25 for q.
5
Let q(f) = f**2 + 7*f + 6. Let t be q(-5). Let z = t + 18. Solve -4*v - 3*m + z = 0, -5 = -3*v - 2*m + 6 for v.
5
Let c(g) = -210*g + 213. Let v be c(1). Suppose -o + p + 3 = 0, 5*o + 0*p + 9 = -p. Let a be 0/(-1 + 1/o). Solve a = -v*x - z - z + 15, x - 18 = -5*z for x.
3
Suppose p = 4*g + 6*p - 31, -5*g + 5*p = -5. Let m(a) = 3*a - 20. Let s be m(8). Suppose 11 + 5 = 8*t. Solve 2*h + 3*h + 3*y = -t, s*y = g for h.
-1
Suppose 2*u - 5*x - 31 = -8, -3*u + 54 = -x. Let q = u + -19. Solve q = a - 2*m - 7, 5*m = 3*a - 2*a - 16 for a.
1
Let t(n) = n**2 + 37*n + 273. Let x be t(-10). Solve 3*a + 3*v = -3, x*v - 3 = a - 10 for a.
1
Suppose 12 = -3*o, 4*k = -0*k + 4*o + 56. Suppose k - 28 = -a. Suppose -j + 10 = 2*b, 3*b + 3*j = 8*b - 36. Solve -b = -4*p + 5*q + 21, -2*q - a = -4*p for p.
3
Let w = -31 - -31. Let f(d) = -d**2 + 5*d + 5. Let y be f(w). Solve 5*u - 2*v = -25, -4*u + u + y*v = 34 for u.
-3
Let j be 2*(-1 + 2 + 5). Let f be -8 + 38/5 - 2/(-5). Suppose f = 5*b - n - j, 0 = 3*b - 0*n + n - 4. Solve -4*k = h - 13, b*k + 2 + 4 = 2*h for k.
2
Let n(z) be the third derivative of z**5/60 - 5*z**4/24 - 11*z**3/3 + 11*z**2. Let i be n(8). Solve 2*l + i*l = -5*a - 13, 3*a = 4*l + 5 for a.
-1
Let u be (-2)/((-2 - -3) + 1). Suppose 0*h + 5 = 5*h. Let z = h - u. Solve 3*j + 8 = -4*s, -s = s + 3*j - z for s.
-5
Let r be (8/10 - 1) + 902/110. Let h(g) be the first derivative of -g**2/2 - g + 1. Let t be h(-1). Solve -4*d + 2*d + r = t, 21 = -i + 4*d for i.
-5
Let p(s) = s**2 + 11*s + 27. Let j be p(-3). Solve j*w = -4*d - 10, 2*d - 6 = -5*w - 18 for d.
-1
Suppose 2*o = -4*b - 3*o + 35, 0 = 2*b + o - 13. Solve -g + 25 = -b*k, -5*k - 25 = 3*g + g for g.
0
Let k(c) = c**3 + 55*c**2 - 175*c - 55. Let a be k(-58). Suppose 4*m - 5 = -2*l + 21, -m = l - 10. Solve -b - 2*h + l*h = 22, a*h = -b + 10 for b.
-2
Suppose 8 = 2*l - 4*m, -2*l = -7*m + 5*m - 6. Solve 2*o = 3*x - 19, -l = -3*x + 7 for o.
-5
Let d(r) = -6*r + 123. Let l be d(20). Solve -l*k + 9 = 2*o, 0*k = -5*o - 4*k + 19 for o.
3
Let v be 24/6*(2 + -1). Suppose -6*y + 4 = -v*y. Solve -3*p + 4 = -0*p - y*j, p = -2*j + 4 for p.
2
Let b(c) = 4*c**2 - 6*c**2 + c**2 - c + c**3 - 6*c**2. Let m be b(7). Let r(y) = y**2 + 6*y - 5. Let q be r(m). Solve 3*z - 3*k
|
{
"pile_set_name": "DM Mathematics"
}
|
+ sqrt(4)/(sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(2)*1 + sqrt(2)) - sqrt(2)))).
-175 - 113*sqrt(2)/2
Simplify (sqrt(156)*3*-3 + 5*(2*sqrt(156) - sqrt(156) - sqrt(156)))/((sqrt(972) + sqrt(12))*3*-1).
3*sqrt(13)/10
Simplify 2*((sqrt(18)*3)/sqrt(9) - (5 + 5 + sqrt(2)))*4 + 1.
-79 + 16*sqrt(2)
Simplify 5*sqrt(1377)*-5*-4 - ((sqrt(833) + 3)**2 + (sqrt(17) - sqrt(17)*1*2)**2).
-859 + 858*sqrt(17)
Simplify (sqrt(18) - sqrt(2178)*-2)/(1*(sqrt(9) + 2*sqrt(9) + sqrt(9))) + (sqrt(162) + 2)*2*-2.
-121*sqrt(2)/4 - 8
Simplify (-5 + -2 + 4*(sqrt(176) - (sqrt(176) + sqrt(176) + sqrt(176) + 0 + sqrt(176))) + -5 + (-1*sqrt(176)*1 + sqrt(176) + -2)*-6 + 2)**2.
-192*sqrt(11) + 25348
Simplify (5 + (-4*(5*(sqrt(468) + 1*sqrt(468)) + 1) + -4)*-3)**2 + 5.
41760*sqrt(13) + 6740046
Simplify (-6*-3*sqrt(243) - sqrt(243))/(4*(sqrt(108)*4)/sqrt(12)).
51*sqrt(3)/16
Simplify -5 + (sqrt(1700)*-1*5 - sqrt(1700)*-2*-3)**2 + ((sqrt(1700) - (sqrt(1700) - (sqrt(1700) - 1*sqrt(1700))) - sqrt(1700))*-1 - (sqrt(1700)*2 + -4)).
-10*sqrt(17) + 205699
Simplify (-5*(-3 + 5*sqrt(833)))**2 + 2 + (3 + 5 + sqrt(833) - sqrt(833))**2.
-5250*sqrt(17) + 520916
Simplify (sqrt(612)*2*3 - sqrt(612))**2*5 + -5 + (sqrt(612)*4 - (((sqrt(187) - ((sqrt(187) - sqrt(187)*-2) + sqrt(187))) + sqrt(187))/sqrt(11))**2) + 2.
24*sqrt(17) + 76429
Simplify ((-2*-2*sqrt(136)*3*2)/(((sqrt(48) - sqrt(768))/sqrt(3))/(sqrt(14)/sqrt(28))))**2 + -2.
270
Simplify 1*((sqrt(80) + (sqrt(80) - (-1 + sqrt(80) + -4)))*-5*2*-6)**2 + -3.
144000*sqrt(5) + 377997
Simplify ((1 + sqrt(10)/(sqrt(32)/sqrt(4)))**2 - ((-3 + -2 + sqrt(5))**2 + sqrt(5) + (sqrt(10)/(sqrt(2)*-3))**2))*4.
-1019/9 + 40*sqrt(5)
Simplify 1 + ((1 + sqrt(931))**2 - (-3 + 2 + sqrt(19))**2 - ((sqrt(190) - 1*(-1*sqrt(190) - sqrt(190) - sqrt(190)))/(-4*sqrt(10)*1))**2).
16*sqrt(19) + 894
Simplify ((-1*(sqrt(1300) + 0 + sqrt(1300) + 4) - ((sqrt(1300) - (sqrt(1300) - (1*sqrt(1300) + sqrt(1300) + 2))) + (-1*sqrt(1300)*5 - sqrt(1300)))) + 0 + 4)**2.
-80*sqrt(13) + 5204
Simplify -6*((-2*sqrt(100))/(sqrt(18)*4) + -3*sqrt(6)/(-5*sqrt(75))).
107*sqrt(2)/25
Simplify -2 + ((sqrt(18)/(sqrt(36)/sqrt(6)) - (sqrt(3)*-3 + -5)) + -2)**2 + 0 + 2.
24*sqrt(3) + 57
Simplify 1 + (1 + sqrt(1377) - (2*sqrt(1088) - sqrt(1088))) + ((sqrt(17) - (sqrt(17) + (sqrt(136)*1)/sqrt(8)))**2 - (sqrt(272) - (sqrt(272) + -2)**2)) + -4.
-19*sqrt(17) + 291
Simplify (6*-1*(sqrt(130) - (-1*sqrt(130) + sqrt(130) - sqrt(130))))/(sqrt(490) - -6*sqrt(490)*4)*-4.
48*sqrt(13)/175
Simplify -1 + 2 + (5*(sqrt(500) + 1 - sqrt(500) - sqrt(500))*-1 + (-3 + -2*sqrt(500))*-6)**2.
4420*sqrt(5) + 144670
Simplify (sqrt(2178)*-1*-3)/(sqrt(864) + (sqrt(6) + sqrt(30)/sqrt(5))*-2).
33*sqrt(3)/8
Simplify -3*((sqrt(152)*2 - sqrt(152))*4 + (sqrt(152) - (-2*(1*sqrt(152) + sqrt(152) - sqrt(152)) + sqrt(152) - sqrt(152))))/((2*3*sqrt(8) + sqrt(8))*3).
-sqrt(19)
Simplify -5*(-3*(sqrt(2) + -3))**2 + -5 - ((sqrt(98) - (sqrt(98) + -2)) + -2 + 2)**2.
-504 + 270*sqrt(2)
Simplify (-4*-1*(sqrt(99) - 3*1*sqrt(99)))/((sqrt(108)/(sqrt(2)*2))/(sqrt(42)/(-2*sqrt(7)))).
8*sqrt(11)
Simplify ((5 + (-5*2*sqrt(1100) - sqrt(1100) - sqrt(1100))*3)**2 - (((2*sqrt(1100) - sqrt(1100))**2 - sqrt(1100)) + 0 - (1 + sqrt(1100) + 5))*1)*-4.
-5698124 + 14320*sqrt(11)
Simplify -1*((sqrt(400)/sqrt(810))/(2*-2*sqrt(8)))**2 + 0.
-5/1296
Simplify 2*((sqrt(7) - -1*(-1 + sqrt(7))) + (sqrt(35)/sqrt(5))**2 + 1 + (-1 + sqrt(21)/sqrt(3)*5)**2)*2.
-32*sqrt(7) + 732
Simplify (5 + sqrt(19) + sqrt(171)/(sqrt(27)/sqrt(3)) + 0 + 5 + sqrt(171)*2 + 3)**2 + -3 + 3.
208*sqrt(19) + 1385
Simplify 6*(1*sqrt(3)*3 - (-3 + sqrt(75)))**2 + -3 + 2 + sqrt(300) + 1 + sqrt(147).
-55*sqrt(3) + 126
Simplify (-1*(sqrt(153) - (sqrt(153) + -1))*-5*-1 - (4 + (sqrt(153) + sqrt(153) + sqrt(153)*-2 + sqrt(153) + 4)*-3))**2.
54*sqrt(17) + 1386
Simplify (sqrt(343)*-2 + 0)**2 + 6*2*sqrt(252) - (1 + (sqrt(112) - (-2 + sqrt(112))) + 6*(3*sqrt(112) + sqrt(112)))**2.
-63149 - 504*sqrt(7)
Simplify ((2*(sqrt(75) + sqrt(75) + -2 + 4*sqrt(75)))**2 - (((1 + sqrt(75) + sqrt(75))*-6)**2 - (sqrt(75) + (sqrt(75) + 1*sqrt(75)*3)**2))) + -4.
-1195*sqrt(3) + 1176
Simplify ((-2 + (sqrt(637) + (sqrt(637) - (-4*sqrt(637)*2 - sqrt(637) - sqrt(637))) + -4)*6)*-6 + 0)**2.
-943488*sqrt(13) + 118903824
Simplify (-3*(sqrt(4114)*2 + sqrt(34))*2)/(sqrt(14)/(sqrt(14)/(sqrt(6)/sqrt(3)))*-3).
46*sqrt(17)
Simplify 3 + -1*(sqrt(7) - (sqrt(175)*-2)**2) - (((2*sqrt(42))/sqrt(3))/(sqrt(72)/sqrt(9)))**2.
-sqrt(7) + 696
Simplify (((sqrt(190) - -1*sqrt(190)*4) + -4*-1*sqrt(190))*-4)/((2*(2*sqrt(120) + sqrt(120) + sqrt(120)))/(-3*sqrt(300))).
135*sqrt(19)/2
Simplify (3 + (-1*(sqrt(128) + 0 + sqrt(128)))**2 + -5*sqrt(128)*-2 + (-3 + (sqrt(128)*-2 + sqrt(128) - sqrt(128)))**2)*-5.
-5180 - 880*sqrt(2)
Simplify (sqrt(90) - sqrt(90)*-1*-6)/(3*sqrt(80)) + sqrt(72)*-1*1 + 1 + 3.
-29*sqrt(2)/4 + 4
Simplify ((2*sqrt(2800) + sqrt(28) + sqrt(28) + sqrt(28))/sqrt(4))**2 + -3 + (-3*(sqrt(7) + sqrt(1372)))**2*1.
17875
Simplify ((-4*sqrt(156)*2)/(sqrt(48)*2) + -2 + 2*(sqrt(13) + 1)**2 + -4)*1.
2*sqrt(13) + 22
Simplify (5 + (sqrt(567) - sqrt(7)) + -3 + sqrt(567) - (sqrt(1008) + (sqrt(1008) + 0)*5)*-1)**2.
356*sqrt(7) + 55451
Simplify (5 + (-3*1*(sqrt(70) - (1*(1*sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))))/(-3*sqrt(10)*5 - (sqrt(110)*-2)/sqrt(11)))**2.
90*sqrt(7)/13 + 4792/169
Simplify ((sqrt(363) - sqrt(363)*-1) + 2 + -4 + ((-3*(0 + sqrt(363)))**2 - sqrt(363))*-4)*6.
-78420 + 396*sqrt(3)
Simplify (2*(sqrt(684) + 4*2*sqrt(684) + (1 + sqrt(684) + 3 - sqrt(684) - sqrt(684))) + 4*(5*-2*sqrt(684) + sqrt(684)) + -4)**2.
-960*sqrt(19) + 273616
Simplify (-5 + -3 + ((3*sqrt(90))/sqrt(9))/(sqrt(16)/(sqrt(16)/sqrt(2))))**2*2.
-96*sqrt(5) + 218
Simplify ((1 + sqrt(432))*-6 - 4*(-1 + sqrt(432)))**2*-2 + -3*(-4 + -1*sqrt(243)*3)**2.
-93017 - 1608*sqrt(3)
Simplify ((-1 + 0 + sqrt(320))**2 - ((-2*sqrt(320) + -5 - sqrt(320)) + sqrt(320))) + sqrt(320) + 2 + (sqrt(320)*-2)**2 + 4 + 5 + 5.
8*sqrt(5) + 1622
Simplify (1*sqrt(1200)*-2*4)/((sqrt(2352) + -2*sqrt(2352))/(-1*(sqrt(12) + sqrt(12)*2))).
-240*sqrt(3)/7
Simplify (1 + -4*((sqrt(2736) + 2*sqrt(2736) + 1)**2 - (0 + -1 + sqrt(2736))))*6.
-591018 - 1440*sqrt(19)
Simplify 1*(2 + sqrt(343) + -1 + 1 - (((1*(sqrt(70)*-1 + sqrt(70)))/sqrt(10))**2 + -5))*6.
42 + 42*sqrt(7)
Simplify (-1*4*(-5 + (1*(sqrt(1584) + 0 + sqrt(1584)) - (sqrt(1584) + -1)*-6)))**2 + 2.
-33792*sqrt(11) + 1623954
Simplify (-1*sqrt(63) + sqrt(7) + sqrt(63)/(sqrt(9) + 1*sqrt(9)) + 1)**2 - (sqrt(343)*-6 - (1 + sqrt(343))**2).
53*sqrt(7) + 1443/4
Simplify (-1*(sqrt(228)*-1 + sqrt(228))*5*6)/((-5*(sqrt(108) - (sqrt(108) + 2*sqrt(108) - sqrt(108))) + sqrt(108) - sqrt(108))/(sqrt(9)*1*5 + sqrt(9))).
0
Simplify (3*(sqrt(1053)*1 + -1) + -5 + sqrt(1053) + 2 + 1 + sqrt(1053)*-2 + -1)**2*4.
-864*sqrt(13) + 16992
Simplify 1*((1*sqrt(891) + -2)**2 + 2*sqrt(891)*5) + 5.
54*sqrt(11) + 900
Simplify ((-2 + 5*(2*sqrt(156)*1)/(sqrt(588)*-2)*-2)*-2*-4)**2.
-2560*sqrt(13)/7 + 95744/49
Simplify (1*(sqrt(891) + sqrt(891)*2 + 0 - (2 + sqrt(891) + -3) - (sqrt(891)*-2 + 3 - (1 + (-2 + sqrt(891) - sqrt(891))))))**2.
-216*sqrt(11) + 14265
Simplify ((sqrt(88)*2*-2 + sqrt(88))*-3)/(1*sqrt(24)/sqrt(3)*4) + 2.
2 + 9*sqrt(11)/4
Simplify ((2*-1*sqrt(5082) - -2*(sqrt(5082)*-2 + sqrt(5082) - sqrt(5082)))/((sqrt(252)/(sqrt(7) - sqrt(28)))/(2*sqrt(216))))**2.
4390848
Simplify ((3*(-2*sqrt(648) + sqrt(648) - (-2*sqrt(90))/sqrt(5)))/((sqrt(12) + 4*sqrt(48)/sqrt(4) + sqrt(12))/(sqrt(8)/sqrt(4)*-4)))**2.
192
Simplify 4*(((1 + sqrt(304))*-4*-2 - (sqrt(304)*-1 + 2 - (1 + sqrt(304))*-4))**2 + -2).
320*sqrt(19) + 30408
Simplify ((5 + sqrt(1100) + -1 + -5*(sqrt(1100) + 0) - (3 + (sqrt(1100) - -3*(sqrt(1100)*-2 - sqrt(1100))))) + 4)**2.
400*sqrt(11) + 17625
Simplify ((1*sqrt(65)*-6 + (sqrt(65) + (5*(sqrt(65) + 1*sqrt(65)) - sqrt(65)) + sqrt(65) - sqrt(65)) + sqrt(65))*2)/(2*2*(-1*sqrt(320) - sqrt(320))).
-5*sqrt(13)/32
Simplify (1*(2*(sqrt(171) + sqrt(171) + 1 + -4) - (4 + sqrt(171) + -2 + sqrt(171) + 6*-1*sqrt(171))))**2.
-384*sqrt(19) + 11008
Simplify (3 + (sqrt(1573) + 1 - (sqrt(117)*3 - sqrt(117))) + -5*(-2 + sqrt(1872) + sqrt(1872)*1))**2.
-3220*sqrt(13) + 172121
Simplify (3 + sqrt(33)/(sqrt(110)/sqrt(10)) + 1*(-2 + sqrt(192)) + 2)**2.
54*sqrt(3) + 252
Simplify (-4*(-4*(sqrt(3
|
{
"pile_set_name": "DM Mathematics"
}
|
(1872) + 1)*-6)**2 - (sqrt(1872) + -2 + -1*sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872))**2) + (sqrt(1872)*-2 + 4)*-5)*1.
1272*sqrt(13) + 74892
Simplify 2 + (sqrt(320)*3)/(-6*sqrt(16)/sqrt(4)) - (sqrt(200)/(1*sqrt(8)) + sqrt(25) + sqrt(25))/(-4*sqrt(180)).
-15*sqrt(5)/8 + 2
Simplify ((3*-2*sqrt(76) - -6*(sqrt(76) + 1))**2 - (sqrt(228)/(sqrt(12) + sqrt(588)) - (-2*(3 + sqrt(19)) + sqrt(19)))**2)*1.
-27*sqrt(19)/2 - 1539/64
Simplify ((-3 + ((sqrt(1452) - (sqrt(1452) + (sqrt(1452) - -3*sqrt(1452)))) + -2)*4)*2*3)**2.
278784*sqrt(3) + 13385988
Simplify -6*((1 + sqrt(50) - sqrt(50)) + -1) + (((sqrt(48)/sqrt(2))/sqrt(6))/(sqrt(128)*-2 + sqrt(128)))**2 + -1.
-31/32
Simplify ((sqrt(48)/sqrt(6)*3)**2 + 4 - (sqrt(72)/sqrt(192))/(1*sqrt(363))) + -4.
-sqrt(2)/44 + 72
Simplify -3*(sqrt(252)/(sqrt(48) - (sqrt(1200) - sqrt(48))))/(6*sqrt(175)*1 - sqrt(175)).
sqrt(3)/50
Simplify ((0 + 0 + sqrt(128)*1 + sqrt(128) + 5 + 1 + -1)**2 + -1)*-6*-2.
1920*sqrt(2) + 6432
Simplify 0 + (-2 + 4 + (sqrt(325) - (-1 + sqrt(325)*1 + sqrt(325))) + 1 + 5 + sqrt(325) + 0 + sqrt(325))**2.
90*sqrt(13) + 406
Simplify (-2 + -4 + 5 + 0 + sqrt(2) + (-5*sqrt(400))/sqrt(8) + -5)*5.
-120*sqrt(2) - 30
Simplify (-3*(-3 + -5*-2*sqrt(2448) - (-2*(sqrt(2448) + (sqrt(2448) - (-1 + sqrt(2448)))) - (sqrt(2448) + 1 + 1)))*1)**2.
2808*sqrt(17) + 3723417
Simplify 4*((sqrt(153) - (sqrt(153) + 2))**2 + 5) - ((-1 + sqrt(153))**2 + sqrt(17) + -1 + sqrt(17) + -3).
-114 + 4*sqrt(17)
Simplify (-4 + 6*((-1 + sqrt(175) + sqrt(175) - sqrt(175)) + -1 + sqrt(175)) - (-4 + (sqrt(175) + sqrt(175) + 0 + -5 - (-1*sqrt(175)*-2 + sqrt(175)))))**2.
-910*sqrt(7) + 29624
Simplify ((-1 + 2*sqrt(432)*-2 + -1*(1 + sqrt(432) - sqrt(432))*-6)*-5)**2*1.
-12000*sqrt(3) + 173425
Simplify 1 + (-5*(1*sqrt(605) + 0))**2*-4 + 2 + 1.
-60496
Simplify (-2*-1*sqrt(45) + sqrt(45))/(sqrt(576)*-1) - (5 + (5 + sqrt(45) - sqrt(5) - (-3 + (sqrt(15)/sqrt(3))**2))).
-8 - 19*sqrt(5)/8
Simplify (2 + sqrt(425)*1*-5 + -1)**2 - (5*(0 + sqrt(17))*6 + (sqrt(153) + -1)**2*-5).
-110*sqrt(17) + 11396
Simplify ((sqrt(135) - -2*sqrt(135)*2)/(sqrt(384)/sqrt(8)))/(((sqrt(495)*-2)/sqrt(11))/(sqrt(45)/(2*sqrt(9)) + sqrt(5)))*5.
-75*sqrt(5)/16
Simplify 1*((3*sqrt(1331)*-2*4)**2 + 3) + (-4*(-3 + (sqrt(1331) - (0 + sqrt(1331)))) + 1)*-4.
766607
Simplify (5 + -2*sqrt(1088) - -2*(-1 + sqrt(1088) + sqrt(1088)) - -2*(sqrt(1088)*1 + sqrt(1088) - sqrt(17))*-4)**2.
-624*sqrt(17) + 183881
Simplify 2 + (2*-5*(2 + 5 + (0 + sqrt(72) + sqrt(72))*-3 + -4 + -1))**2.
-14400*sqrt(2) + 259602
Simplify ((-2*-1*sqrt(108) - ((sqrt(108) - 4*sqrt(108)*-2 - sqrt(108)) + sqrt(108)))*-6)/(6*(sqrt(216)*1)/sqrt(4)).
7*sqrt(2)
Simplify -2 + (4*6*(2 + (sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + 2 + sqrt(432))))))*-5)**2.
1382400*sqrt(3) + 6451198
Simplify (3 + -6*(4 + 2 + -1 + sqrt(1100) + sqrt(1100))*-2*-5)**2.
712800*sqrt(11) + 15928209
Simplify 1*sqrt(108) + 3 + -1*sqrt(108)*3 - ((-6*(sqrt(108) + (sqrt(108) - (sqrt(108) + 3 + sqrt(108)))**2) - sqrt(108)) + 3*sqrt(108)*-1).
264*sqrt(3) + 705
Simplify ((-5 + 2*(-1*sqrt(2057)*-6 + -1*-2*sqrt(2057)))*1)**2.
-1760*sqrt(17) + 526617
Simplify ((-2*(-1 + sqrt(882)) + 2 + -3)*-4)**2 + -1.
-1344*sqrt(2) + 56463
Simplify (-3*(-2*sqrt(1024) - sqrt(1024) - sqrt(1024))*-4)/(-4*sqrt(392) - (sqrt(40)/sqrt(5)*1 + sqrt(8))).
64*sqrt(2)/5
Simplify 3*(-2*((-2 + sqrt(80))*3 + (sqrt(80) - sqrt(80)*2) + 1 + 2 + 5*sqrt(80) + -5))**2.
-5376*sqrt(5) + 47808
Simplify (-1*((sqrt(484) + sqrt(484) + 1*sqrt(484))/(sqrt(2) - sqrt(20)/sqrt(160) - sqrt(2)) + -1*(sqrt(72) + sqrt(2)) + sqrt(162) + -3)*-2)**2.
3120*sqrt(2) + 135236
Simplify ((sqrt(24)/sqrt(2) + sqrt(12))*5 - (sqrt(12) + sqrt(588)*1 + sqrt(12) - sqrt(12)))/(-6*(sqrt(726) + -2*sqrt(726) + sqrt(726) - sqrt(726))*-2).
-sqrt(2)/66
Simplify -4*((0 + -6*(sqrt(171) - -2*sqrt(171)))*3 + 4 + (-4 + sqrt(171)*2 - 1*sqrt(171)*3))**2.
-2069100
Simplify -4*(sqrt(121)*1*-2 + sqrt(121) + -2*sqrt(121)*-2 + sqrt(121))/(-3*((sqrt(55)*1)/sqrt(5) - 3*1*sqrt(11))).
-8*sqrt(11)/3
Simplify (-1*(sqrt(56) - 3*sqrt(56)) - (sqrt(56) + (-3*sqrt(896) - sqrt(896))))/((5*sqrt(96)/sqrt(3))/(-4*sqrt(36)))*5.
-204*sqrt(7)
Simplify 2*(2*sqrt(1573) + sqrt(1573)) + 4 + 1 - (-6*-1*sqrt(104) + sqrt(104))/(sqrt(8)*1*-1).
5 + 73*sqrt(13)
Simplify ((-4*(sqrt(176)*-2 + sqrt(176)))/(sqrt(180)/sqrt(5)))/(((-6*sqrt(4) - sqrt(4)) + sqrt(4))*-6 - 5*sqrt(64)).
sqrt(11)/12
Simplify (sqrt(44)/sqrt(2)*3)/(-2*sqrt(32)) - (-2 + sqrt(110)/((-3*sqrt(50))/sqrt(5))).
-sqrt(11)/24 + 2
Simplify -1 + 5 + (-3*(sqrt(1088) + sqrt(1088) + 1 + 1) - (-1*sqrt(1088) + -4 + 3))**2.
400*sqrt(17) + 27229
Simplify 5 + -1*(-1*(5 + (sqrt(288) + 2)**2) + 2).
48*sqrt(2) + 300
Simplify (5*(3 + ((sqrt(175) + -3*(sqrt(175) + 4*sqrt(175)) - sqrt(175)) + -5 + 2 + sqrt(175))*2)*-5)**2.
525000*sqrt(7) + 85755625
Simplify 3*(5 + 4 + (sqrt(1088) - (sqrt(1088)*2 + -5))*1 + -1).
-24*sqrt(17) + 39
Simplify 0 + -2*((sqrt(200) + sqrt(200) + 1)*4)**2 + -5*(sqrt(200) + 4) + sqrt(200) + (5 + (sqrt(200) - (-1 + sqrt(200))))**2.
-25616 - 1320*sqrt(2)
Simplify (4 + (((1 + sqrt(1088) + 0)*-4)**2 - (sqrt(153)*1 + -2 + 1)))*-6.
-104574 - 1518*sqrt(17)
Simplify 1 + sqrt(11) + (sqrt(704))**2 + 2 + -3 + (sqrt(176) + 1 - (sqrt(11) - (sqrt(11) + 0 + sqrt(22)/sqrt(2))))*3.
16*sqrt(11) + 707
Simplify (((sqrt(108) - -3*sqrt(108))/sqrt(4) - 1*-2*sqrt(27))/(6*(sqrt(1089) + sqrt(1089) + sqrt(1089)*1)*-3))**2 + -4.
-13067/3267
Simplify (-5 + -3*sqrt(19) + 2)*4 - (3*sqrt(95)*-1 + sqrt(95))/(sqrt(80)*2).
-47*sqrt(19)/4 - 12
Simplify (((sqrt(95)*-1*-5 - sqrt(95))/((-2*sqrt(5) - sqrt(5))*-3) - (0 + sqrt(684) - (sqrt(19) + (sqrt(114) + (sqrt(114)*2 - sqrt(114)))/sqrt(6)))) + 3)**2*4.
-184*sqrt(19)/3 + 43120/81
Simplify 0 + (sqrt(4032) + sqrt(4032) + -3*sqrt(4032))/sqrt(9) + -1*4*(3 + sqrt(112)).
-24*sqrt(7) - 12
Simplify (((-5 + sqrt(180) + sqrt(180))*2)**2 + sqrt(180) + (-5 + (4*sqrt(180) - sqrt(180)))**2)*-2*4 + -4.
-37004 + 5232*sqrt(5)
Simplify (3 + sqrt(200) + 2)*4 + (sqrt(864) + sqrt(864)*2 + sqrt(864))/((sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96)*1 + sqrt(96) - sqrt(96))/sqrt(8)).
20 + 46*sqrt(2)
Simplify -5 + ((sqrt(330)*2)/sqrt(11))/(sqrt(54)/(sqrt(18)/sqrt(2))) + (sqrt(500) + (sqrt(500) - (sqrt(500) - (sqrt(500) + 2))))*-2*-6.
19 + 242*sqrt(5)
Simplify 3*3*4*((sqrt(980) - (sqrt(980) - 5*(sqrt(980) - (sqrt(980) + (0 + sqrt(980) - sqrt(980)) - sqrt(980))))) + 5)**2.
25200*sqrt(5) + 882900
Simplify -5 + (sqrt(10)/sqrt(5)*-3 + (sqrt(80)/sqrt(4))/sqrt(10) + -5)**2 + -3 + 2.
27 + 20*sqrt(2)
Simplify sqrt(15)/sqrt(3) + sqrt(5) + 3 - (-3*sqrt(5) + -1)**2 - (-1 + sqrt(45)/(sqrt(81) - 2*sqrt(81))).
-42 - 11*sqrt(5)/3
Simplify ((sqrt(600) - sqrt(600)*2)*-4)/sqrt(12)*-3 + -1 + sqrt(18) + -2 + (3*sqrt(98))**2.
-57*sqrt(2) + 879
Simplify (-2 + -5*(((sqrt(95)*-2)/sqrt(5) - (sqrt(133)*1 + sqrt(133) + sqrt(133))/sqrt(7) - 1*(4 + sqrt(19) + 0)) + 0))**2.
1080*sqrt(19) + 17424
Simplify 4*sqrt(108)*-2*5 - ((1*sqrt(3))**2*5 - (-1 + sqrt(75) - sqrt(3))**2).
-248*sqrt(3) + 34
Simplify ((sqrt(396) + 4*(sqrt(396)*-2 + sqrt(396)) - sqrt(396))/(sqrt(972)*-1 - sqrt(12)))/(((sqrt(108) - sqrt(108)*-2)*6 - sqrt(108)) + sqrt(108)).
sqrt(11)/270
Simplify -3*(-5*(sqrt(3) + sqrt(9)/(sqrt(6)/sqrt(2)))**2 + 0 + sqrt(300)*3 + 4).
-90*sqrt(3) + 168
Simplify (-5 + (0 + sqrt(162))**2)*-4*6 + 3 + (-5*(-2*sqrt(162) + 0))**2.
12435
Simplify ((-6*(sqrt(176) + -1 - sqrt(176)) - (-3 + sqrt(176) + 1)) + sqrt(176)*-2 + sqrt(176) + -1 + -1 + -3 + 5)**2.
-128*sqrt(11) + 768
Simplify (-1 + sqrt(11)*-2)**2 + sqrt(176)*2 + -6*((sqrt(88)/sqrt(512))**2 + -2).
12*sqrt(11) + 1791/32
Simplify (5*(4 + -2*sqrt(300))**2 - (-4*(sqrt(432)*-2 - sqrt(432)) - (0 + 2*sqrt(432) + sqrt(432)))**2)*6.
-173472 - 4800*sqrt(3)
Simplify 3 + sqrt(171)/(sqrt(900)*1) + (5*(sqrt(152) + sqrt(152)*2))/(1*sqrt(968)).
3 + 161*sqrt(19)/110
Simplify ((-2*sqrt(270))/sqrt(9) - -1*sqrt(120)/sqrt(4))/(sqrt(640) + (sqrt(640) - (2*sqrt(640) + sqrt(640) + sqrt(640))*-2))*-4 + 4.
sqrt(3)/20 + 4
Simplify (-5*(sqrt(33) - ((-3*sqrt(297))/sqrt(9) + sqrt(33))))/(sqrt(3) - -3*(sqrt(3) - (sqrt(3) + sqrt(75))) - -3*(sqrt(6)/sqrt(2) - sqrt(3))).
15*sqrt(11)/14
Simplify (1*(sqrt(144) + sqrt(144) + (sqrt(144) - 2*sqrt(144) - sqrt(144)) + sqrt(144))*-2)/((sqrt(24) + -6*1*sqrt(24))/(sqrt(12) - sqrt(97
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{
"pile_set_name": "DM Mathematics"
}
|
r(x) = -x**3 + 5*x**2 - x - 25. What is the thousands digit of r(-9)?
1
Let f(o) = o**2 + 43*o + 80. What is the thousands digit of f(26)?
1
Let n = 1 + 7. Let x(h) = -h**2 + 15*h + 13. What is the units digit of x(n)?
9
Let i(n) = 10*n**3 + n**2 + 10*n - 23. What is the units digit of i(5)?
2
Let p(r) be the third derivative of r**7/60 + r**6/720 - r**5/120 - r**4/6 - 5*r**2. Let l(q) be the second derivative of p(q). What is the units digit of l(1)?
2
Suppose 0 = 16*s - 7*s - 2223. What is the tens digit of s?
4
Suppose 0 = -4*a + a - d + 11, -a - 4*d - 11 = 0. What is the units digit of (6 - a)/((-1)/(-47))?
7
Let y(m) = -m**3 + 5*m**2 + 110*m + 34. What is the hundreds digit of y(-17)?
5
Suppose 5*n = -4 - 21, -5*z = 3*n + 45. What is the units digit of (-2 - z)*(-240)/(-32)?
0
Let y = 2873 + -1058. What is the thousands digit of y?
1
Let i be 1/(-2) - (-55)/10. Suppose -2*z + 5*p + 32 + 183 = 0, -560 = -i*z + 5*p. Suppose y + 38 = b - 3*y, z = 5*b + 5*y. What is the tens digit of b?
2
Let m(c) = 2*c**3 - 8 + 3*c**3 - c - 6*c**3 - c**2 + 0. Let q be m(0). What is the units digit of (-3)/12 + (-218)/q?
7
Let u(x) = -319*x**3 + 3*x + 1. Suppose -26 = -16*j - 42. What is the hundreds digit of u(j)?
3
Suppose 4*r = -r + 25. Suppose -r*p + 7 = -4*p. Suppose 5*d - 4*t = -p*t + 25, 2*t = 0. What is the units digit of d?
5
Suppose 0 = 4*d - 4*s - 2384, -5*d = -4*d + 4*s - 591. What is the hundreds digit of d?
5
What is the units digit of 5/(361/(-366) - -1)?
6
Let y be (90/40)/((-3)/(-8)). Suppose 5*o - h = 314, -y*h + h + 104 = 2*o. What is the units digit of o?
2
Let s = -4433 - -7784. What is the tens digit of s?
5
Let v be (-1)/(-3) - 106/(-6). Suppose -v*n + 52 = -17*n. What is the tens digit of n?
5
Let l = 1532 - -144. What is the thousands digit of l?
1
Suppose 5*i - 5 = 5. Suppose -i*v = -4*v + 14. What is the tens digit of 2/(-2) - v*-3?
2
Suppose 0*n = 3*n + 9. Let q = n + 135. Suppose -c = 5*c - q. What is the units digit of c?
2
Let c(o) = 5*o**2 + 5*o**2 - 5*o + 68 + o**3 - 6*o - 78. What is the hundreds digit of c(-8)?
2
Let t = -32 + 33. What is the units digit of 63 - 3 - (t + 2)?
7
Let k be (3 + -3)/(-4) - 2. Let s be k/(2*1/4). Let y(x) = x**3 + 5*x**2 + 2*x + 6. What is the tens digit of y(s)?
1
Let o be (-4)/(-2)*(-15)/(-10). Let m be (-7)/(o + 16/(-6)). What is the units digit of (1 - -2)/(m/(-329))?
7
Let h = -13 - -10. Let z(k) = -5*k - 8. Let d be z(h). Suppose -9*v + 126 = -d*v. What is the units digit of v?
3
Suppose 5*b + 4*u = 16330, 3*u = -17 + 2. What is the units digit of b?
0
Let f = -26 - -31. Suppose 3*s + 181 = 3*o + 2*s, 25 = f*s. What is the tens digit of o?
6
Let n(b) = -b**3 - 13*b**2 - 12*b + 6. Let s be n(-12). Suppose 0 = -s*x + 361 + 605. What is the units digit of x?
1
Let q(g) be the first derivative of -6*g**2 + g + 1. Let d be q(-2). Suppose 2*x - d = -h, 4*x - 42 = -2*h + 2*x. What is the units digit of h?
7
What is the hundreds digit of 2845 - 15/(165/(-22))?
8
Suppose -8*d - 36 = -4*d. Let s = d + 21. What is the units digit of s?
2
Let a(s) = -77*s**3 - 4*s**2 - 9*s - 5. What is the units digit of a(-2)?
3
Let z = -66 + 144. Suppose -w - w = -z. What is the units digit of w?
9
Let v(j) = -j + 2. Let k be v(10). What is the units digit of ((-352)/(-28))/(k/(-28))?
4
Let s be 1 + -1 - (-3 + 4). Let b be (4/2 - 3)/s. What is the units digit of (34 - 9)/(b/1)?
5
Let d(g) = -3*g - 1. Let u be d(-1). Suppose -634 = -0*w - 5*w - 4*a, u*w = -4*a + 244. Suppose -16*o + 11*o + w = 0. What is the units digit of o?
6
Suppose -14*y + 9869 = -11425. What is the hundreds digit of y?
5
Let t be (1/3)/((-4)/12) - -2. What is the units digit of (328/(-20))/((3/(-30))/t)?
4
Let g = 57 + -54. What is the hundreds digit of g/6 - (-754)/4?
1
Let k = 19 - 7. Suppose -k*p = -10*p - 262. What is the hundreds digit of p?
1
Let a(r) = -5*r + 26 - 2*r**2 + 6*r**2 - 28. What is the units digit of a(-3)?
9
Suppose -3*g - 9 = 3. Let c be 2/g - 30/(-4). Let q(v) = 4*v + 1. What is the tens digit of q(c)?
2
Suppose 3*s = -3 + 12. Suppose -13 + 1 = -4*q - h, -s*h = -3*q + 24. Suppose 2*w = 3*p - 108, -q*p + w + 105 = -p. What is the units digit of p?
4
Let f(h) = h + 11. Let i be f(-7). Let c be (-42)/(-9) - i/6. Suppose -b = c, -4*x - 49 = -5*x + 4*b. What is the units digit of x?
3
Let b(z) = z**3 - 16*z**2 - 17*z + 25. Let l be b(17). What is the tens digit of (-1)/((3/36)/(l/(-4)))?
7
Let n(g) = 5*g**2 + g - 2. Let k be n(1). Suppose -r + 275 = 2*r + k*b, 5*b = 4*r - 315. What is the units digit of r?
5
Let n = 5 - 0. Suppose 4*o - 90 = 2*o + 3*j, 2*o - n*j - 94 = 0. What is the units digit of o?
2
Suppose 0 = 794*o - 800*o + 8400. What is the tens digit of o?
0
Let b(t) = -23*t**2 + 2*t - 1. Let a be b(4). Let l be 4/(-14) - a/(-133). What is the units digit of (1/l)/(2/(-294))?
9
Suppose 2*w = -4*u + 6660, -u - w + 876 = -789. Suppose -2*l = 3*l + u. What is the tens digit of ((-4)/(-6))/((-6)/l)?
3
Suppose -5710 = 11*v - 21*v. What is the tens digit of v?
7
Suppose -2*p = 3*n - 8156, 2*n - 3901 - 1553 = 2*p. What is the thousands digit of n?
2
Suppose -744*v = -732*v - 31344. What is the thousands digit of v?
2
Let n(x) = 3*x**2 - 37*x + 23. What is the tens digit of n(-12)?
9
Let f be 2/(-4) + (-4)/8. Let c = f - -6. Suppose -c*h + 3*h + 3*g + 50 = 0, -2*h = -5*g - 54. What is the tens digit of h?
2
Let o = 1 - 1. Let z be o + 2 + (-3 - 2). What is the tens digit of (-12)/z*(-34)/(-8)?
1
Suppose 5*d + 15 = 10. What is the units digit of 7/21*(d + 19)?
6
Let k(r) = 3*r**2 - 6*r - 7. Let f(t) = -3*t**2 + 7*t + 6. Let s(z) = 2*f(z) + 3*k(z). What is the units digit of s(7)?
0
Suppose -3*a - a = -368. Let t(g) = -a - 2*g + 90 - 4*g. What is the units digit of t(-3)?
6
Let d = 331 + -36. Suppose 4*t - 485 = -3*x, 0*x = 2*x - 3*t - d. What is the units digit of x?
5
Suppose -11*v = -v - 1030. What is the tens digit of v?
0
Let v = -148 - -304. Suppose -v = -2*g + 4*r, 2*r - 58 = -g - r. What is the tens digit of g?
7
Let d(s) = 330*s - 107. What is the units digit of d(4)?
3
Suppose -23 = d + 3*p - 78, -3*d - 2*p + 158 = 0. Let j = -9 + d. What is the tens digit of j?
4
Let z = 4347 + -2035. What is the hundreds digit of z?
3
Let s(r) = r**3 + 12*r - 1 - 7 - 5 + 10*r**2 - 4*r. Let b be s(-9). Let d(f) = -f**3 - f**2 - 5*f. What is the units digit of d(b)?
8
What is the units digit of 65 + 515 - (-1 - -8)?
3
Let r(f) = 23 - 23 - 3*f - 20*f. What is the units digit of r(-4)?
2
Let m(t) = 2*t**2 - 12*t + 21. Suppose 5*b = 0, 3*o + 5*b - 7 - 23 = 0. Let l be m(o). Suppose 0 = 2*v - r + 35 - l, 0 = -3*r + 6. What is the tens digit of v?
3
Let n(h) = 14*h**2 + 6*h + 4. What is the units digit of n(-1)?
2
Let w(v) be the third derivative of -v**4/24 - v**3/6 + 6*v**2. Let l be w(0). What is the tens digit of (4 - (1 + l)) + 42?
4
Let k = 301 + -131. What is the units digit of k?
0
Suppose 4*g - 1411 - 381 = 0. What is the units digit of g?
8
Let v(c) = -5*c + 100. Let u be v(19). Suppose 2*z - 3*n - 2*n = 177, 4*z = 5*n + 329. Let h = z - u. What is the tens digit of h?
7
Suppose 8*z = 125 + 91. Let x = z - -74. What is the units digit of x?
1
Let v(n) = 95*n**2 + 2*n - 1. Let p be v(1). Let h be ((-9)/4)/((-6)/p). What is the units digit of (81/h)/((-1)/(-4))?
9
Let q(i) = 5*i**3 - 9*i**2 - 2*i - 7. Let y(u) = 2*u + 44*u**2 + 20 - 14*u**3 + 4*u - 18*u**2. Let a(l) = 11*q(l) + 4*y(l). What is the tens digit of a(4)?
2
Let m(o) = 3*o. Let h be m(4). Suppose 3*k = 7*k - h. Suppose -4*p = 5*y - 1, -6*p + 7 = -2*p + k*y. What is the units digit of p?
4
Suppose 3*k - 2*k - 3*l = 12, 4 = 3*k - l. Suppose 0*n = -2*n + 8. Suppose -i + 0*i + 3*g + 37 = k, -2*g = n*i - 148. What is the tens digit of i?
3
Let i be 10/(-14) + 16/(-56). Let w be (-1 + -1 + -2)*i. Suppose 0*r + w*r - 92 = 0. What is the tens digit of r?
2
Suppose 27219 = 7*y + 2*f, 5*y - 2*y + f - 11666 = 0. What is the tens digit of y?
8
Let z = -25 - -27. Suppose -3*x = z*x - 10. Suppose -n + x*p + 67 = 2*n, -2*n = -p - 46. What is the units digit of n?
5
Let g = 50 - 190. Let t = 205 + g. What is the tens digit of t?
6
Suppose -s - f + 2*f = -1, 17 = 5*s + f. Let m be s + (-3)/(1 + 2). What is the tens digit of (12/30)/(m/100)?
2
What is the units digit of -135*(-6 + 1 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is t rounded to seven dps?
-0.0000229
Let g = 1957 - 1135. Let a = g + -821.9997877. Round a to five decimal places.
0.00021
Let u = -54 + 40. Let z(r) = 38*r + 32. Let g be z(u). Let c be (g*300 - 0)/((-2)/60). What is c rounded to the nearest one million?
5000000
Let f = -46.2382 - -46.52. What is f rounded to one dp?
0.3
Let r = 540 - 558.7. Let l = 16.618 + r. What is l rounded to 1 decimal place?
-2.1
Suppose 0 = 25*g - 10*g - 75. Suppose -6*f = g*f - 0*f. Suppose -6*w + 2*w - 132000 = f. Round w to the nearest 100000.
0
Suppose 82*w + 30*w - 579007000 = 2*w. Round w to the nearest one million.
5000000
Let x = 30 - 111. Let g = x + -79. Let t = g - -77.3. What is t rounded to the nearest ten?
-80
Let n = 8464 - 8452.5. Let g = -21912249 - -21912260.500129. Let x = g - n. What is x rounded to five dps?
0.00013
Let h = 555.8 - -134.2. Let g = h + -690.00000152. Round g to 7 dps.
-0.0000015
Let r(x) be the first derivative of 3811*x**3/3 - 3*x**2 - 7*x - 279. Let j be r(-3). What is j rounded to the nearest 1000?
34000
Let x = 0.2679 - 0.267894756. What is x rounded to 6 dps?
0.000005
Let b = 0.183 + -15.783. Let j = -15.6348 - b. Round j to two decimal places.
-0.03
Let t = -84.833 + 83.99517. Round t to 3 decimal places.
-0.838
Suppose -13*z - 6*z + 907457290 = 0. Suppose 21*x = -24059090 - z. What is x rounded to the nearest one million?
-3000000
Let m(t) = -t**3 + 9*t**2 - 9*t + 5. Let n be m(6). Suppose -n*w + 60*w = 6. Let b be ((-7)/3)/(-7) + 103798/w. Round b to the nearest 1000.
17000
Let n = 683.91 - 687. Let g = 26.71 - n. Round g to the nearest ten.
30
Let l = 7663.631 - 7659. Let k = l + -5.05. Round k to one dp.
-0.4
Let j = 214402 + -71902. Suppose 12*c + j = -13*c. What is c rounded to the nearest 100?
-5700
Let b(t) = -4754*t**3 - 4*t**2 - 2*t + 20. Let x be b(6). What is x rounded to the nearest 1000000?
-1000000
Let i = 1347114379 + -1347115571.41400085. Let v = i - -1192.674. Let s = v + -0.26. Round s to 7 dps.
-0.0000009
Suppose -31028 = -46*y + 118610. Let m = -2023 + y. Round m to the nearest 100.
1200
Let o = 105 + -99. Suppose -4*h - 95 = 157. Let g be h/(-6)*1640/o. Round g to the nearest 100.
2900
Let o = 0.8991 - 1.5102. Let x = 0.608 + o. What is x rounded to 3 decimal places?
-0.003
Suppose -595515880 = 457*g - 123*g + 499202520. What is g rounded to the nearest 1000000?
-3000000
Let i = 0.1039 + -457.1039. Let q = -1036 - i. Let f = q - -579.00614. Round f to 4 decimal places.
0.0061
Let h = 2.49 + -2.61. Let j = 0.173 + h. Round j to 2 dps.
0.05
Let h(p) = -273*p**3 - 11*p**2 - 32*p - 284. Let a be h(-22). Round a to the nearest 10000.
2900000
Let q(h) = -15*h - 1570*h**2 + 863 - 855 - h. Let p be q(8). Round p to the nearest 10000.
-100000
Suppose -11*o + 3646600 = -2518823. Suppose -f + 1439503 + o = -4*c, -c = 4*f - 8000001. Round f to the nearest one hundred thousand.
2000000
Let f = -3403.64 + 3556.7304. Let g = 153.03439895 - f. Let v = g - -0.056. What is v rounded to 6 dps?
-0.000001
Let m = 2889 - 1837. Suppose j + m = -1126. Let g be (0 + 4)*j/24. Round g to the nearest 10.
-360
Let p be -19 - ((-10)/(-15) - (-10)/(-6)). Let k = -16 - p. Suppose -g = k*g - 16500000. Round g to the nearest one million.
6000000
Let q = 184.784 - 190. Let k = q + 39.706. Let y = -32.4 + k. What is y rounded to the nearest integer?
2
Let t = 23061.6897 + -23061.881601771. Let m = t - -0.1919. What is m rounded to 7 decimal places?
-0.0000018
Let i = 2.83 - -19.97. Let o = 22.799999376 - i. Round o to 7 decimal places.
-0.0000006
Let x = -282.66 + 282.6585279. What is x rounded to five dps?
-0.00147
Suppose -r + 3*p - 9 - 18 = 0, p = -r - 43. Let c be r*23*(-34 - -10034). Round c to the nearest 1000000.
-9000000
Let z = -38766 - -38766.045638. Round z to three dps.
0.046
Let i = 0.07 - 2.07. Let c = 885.95 + -883. Let a = i + c. Round a to 1 dp.
1
Let c = 7.4 - -6.4. Let d = 6006934.199685 - 6006948. Let r = d + c. What is r rounded to 5 decimal places?
-0.00032
Let k = -7606 - -7570.272. What is k rounded to the nearest ten?
-40
Let h = 2678.8299883507 - 2678.83. Round h to six dps.
-0.000012
Let o = -35267.0000039558 - -35267. Round o to six dps.
-0.000004
Let v = 0.0221 - 227.0221. Let r = v + 226.99999828. What is r rounded to 6 decimal places?
-0.000002
Suppose 2763928 = -38592*t + 38558*t. Round t to the nearest one thousand.
-81000
Let q be (663/(-26))/((-1)/61014). Let d(x) = x - 5. Let c be d(9). Suppose q - 155857 = c*u. What is u rounded to the nearest 100000?
400000
Let d = -22912 + 22912.0000504. What is d rounded to 3 dps?
0
Let b be (-9)/(-4) + ((-12)/(-16))/(-3). Let i(c) = 369*c - 9. Let f be i(b). Let o = f - 1109. What is o rounded to the nearest 100?
-400
Suppose 16*v - 15691 = 15013. Round v to the nearest 10000.
0
Suppose o + 3 = a, 7*o + 14 = 5*a + 3*o. Suppose -92*m + 5153 = -87*m - 3*i, -a*m + 2086 = 5*i. Round m to the nearest one hundred.
1000
Let y = -0.0856 - -0.08551793. What is y rounded to five dps?
-0.00008
Let g = 10158 - 10158.0000074864. Round g to 6 dps.
-0.000007
Let i = -21211.2248 + 21256. Let q = i - 44.9. What is q rounded to 2 dps?
-0.12
Let l = -13628 + 13628.00011714. What is l rounded to 5 dps?
0.00012
Let h = 1296.4555 + 0.2445. Let j = h + -1354. Round j to the nearest ten.
-60
Let i = 20.3 - -70.7. Let f = -1058518868 - -1058518958.9999959. Let n = i - f. Round n to 5 decimal places.
0
Let l = 16916 - 16913.8153. What is l rounded to 1 decimal place?
2.2
Let k = 966.7532 - 967. Let q = -0.253 - k. What is q rounded to 4 decimal places?
-0.0062
Suppose 5*k - 5 = o, -8*k - 4*o + 26 = -5*k. Suppose -k*t - 38962 = 10*u - 9*u, -5*u + 58430 = -3*t. What is t rounded to the nearest 1000?
-19000
Suppose h + 50 = -4*g - h, -51 = 3*g - 3*h. Let z be -92*(-20)/8*g/(-4). What is z rounded to the nearest one hundred?
800
Let a = -0.147 - 1.713. Let f = -5.54 + a. What is f rounded to zero dps?
-7
Let n = -987 - -918.36. Let u = n + 56.6. Round u to zero decimal places.
-12
Let q = -2919.0464 - -2919. Round q to 2 decimal places.
-0.05
Let j = -13 + 19. Let a = j - 17.2. Let i = a - -11.117. Round i to 2 decimal places.
-0.08
Let j = 179 + 339. Suppose -l - j = 1502. What is l rounded to the nearest 1000?
-2000
Suppose 28*x = 13*x + 120. Let b be (-6596 - x/2)*35. Round b to the nearest ten thousand.
-230000
Let a = -46.63 + 46.6299987806. What is a rounded to seven decimal places?
-0.0000012
Let l = -241689.567 + 241849. Let j = -231 - -390. Let g = l - j. Round g to two dps.
0.43
Let p = 11455 - 6185. Suppose 5*s - p = 3*f + 2*f, 0 = 3*f + s + 3158. Round f to the nearest 10.
-1050
Let t = -7485892.43023 - -7485425.994352987. Let o = -66.564127927 + t. Let c = 533 + o. Round c to 6 dps.
-0.000005
Let z = 97258 + -97259.7099895. Let j = z - -1.71. What is j rounded to 6 dps?
0.000011
Let g = 13 + -4. Let r = -39.1438315 - -30.14383. Let o = g + r. Round o to six dps.
-0.000002
Let k(u) be the second derivative of -8729*u**3/3 + 42*u**2 - 213*u. Let h be k(-2). What is h rounded to the nearest 1000?
35000
Let f = -111.1034 + -23.859. Let d = f - -135. Round d to 2 dps.
0.04
Let n = -1.1376 - -0.0017. What is n rounded to one dp?
-1.1
Let x = 179 - 42. Let w = x + -171.5. What is w rounded to the nearest integer?
-35
Let a(k) = 3*k + 25. Let y be a(-3). Suppose y*h = 21*h + 3320. What is h rounded to the nearest 100?
-700
Let h = 15529 + -15529.43685. Round h to 1 dp.
-0.4
Let o = 201.158 + 1.642. Let m = o - 197. Round m to one dp.
5.8
Let o = 1.445 + -1.456042. What is o rounded to four dps?
-0.011
Let n = 0.0310736 - 136.6146736. Let p = n + 137. Round p to two decimal places.
0.42
Suppose 75 + 305 = -19*j. Let y be (-10)/4*(-24)/j. Let v(o) = o + 19. Let r be v(y). What is r rounded to zero dps?
16
Let c = -324700 + 324684.0671. Round c to the nearest integer.
-16
Let m = -13340 + 13315.668. Round m to the nearest integer.
-24
Let j = 308.8 + -308.80014444. Round j to 5 decimal places.
-0.00014
Let q = -153.1 - -166. Let a = -2784 - -2771.237. Let o = q + a. What is o rounded to two dps?
0.14
Let g = 14.6727 + -0.1347. Let i = g - 14.8. Round i to 1 dp.
-0.3
Let m = -6.60277 - -6.001. Let o = -0.6 - m. Round o to four dps.
0.0018
Let v = 0.68 - 0.922. Let g = -267808 - -2
|
{
"pile_set_name": "DM Mathematics"
}
|
44. Let w(q) be the first derivative of -q**4 + 5*q**3/3 + 6*q**2 + 10*q - 322. Is w(t) a composite number?
True
Let d be (-13)/13 - (-2)/2. Is (d + 9442)*(3 + 25/(-10)) a composite number?
False
Suppose 4*c + 2883 - 8845 = -v, -4*c - 11984 = -2*v. Let j = -2339 + v. Is j a prime number?
True
Suppose 0 = -21*j - 251920 + 808861. Is j a prime number?
False
Let h = -2415 + 4711. Let r = 5949 - h. Is r prime?
False
Let q(v) = -7*v**2 - 15*v + 28. Let w be q(-12). Let t = w - -378. Is (0 - 1)/(2/t) composite?
False
Is 3 - ((-12)/(-8) + 32635/(-2)) a prime number?
True
Let k = 43795 - 5498. Is k prime?
False
Suppose 9*n - 11*n = 5*q - 35014, q = -n + 7001. Suppose -2*u = y - 1751, -4*y + 33*u + q = 30*u. Is y prime?
False
Suppose 893 - 10714 - 4105 = -6*z. Is z prime?
False
Suppose 526 = -11*o - 200. Is (o/15 - -4) + (-3374)/(-10) a composite number?
False
Is 106071/(-5)*(-190)/114 composite?
True
Let z(x) = 5*x**2 + 3085. Suppose -26*m - 24 + 24 = 0. Is z(m) prime?
False
Let z(p) = 1698*p - 1489. Is z(7) a composite number?
True
Let v(p) = -694027*p - 5197. Is v(-2) a prime number?
False
Let v = 34 + -3. Let l be v/155 - 1/5*51. Is ((-6)/5)/(l/2525) composite?
True
Let j = 0 - -2. Suppose 9 = h - 2*o, -o = -27 + 30. Suppose h*s - j*s = 467. Is s composite?
False
Let p(c) = -100*c - 5470. Let k be p(-66). Let m = -684 + 2485. Let r = m - k. Is r a prime number?
False
Let g be 3/(12/4) + 158470/10. Is g/2 - 85/((-102)/(-6)) a composite number?
False
Suppose 423*g = 422*g + 6564. Let j be (4/(-6))/((-2)/66). Is (-4)/((-176)/g) - 4/j a prime number?
True
Let y(w) = -2*w**3 - 12*w**2 + 12*w - 3. Let k be y(-7). Is (2/8)/(k/59884) composite?
False
Let q(x) = 3*x + 17. Suppose t = 3*j - 0*j + 7, -4*t - 3*j = 32. Let a be q(t). Suppose 4*w - 3*u - 2351 = -0*u, a*w + 2*u - 1172 = 0. Is w composite?
False
Let m = -139146 + 201431. Is m prime?
False
Suppose 75*n = 44*n + 38*n - 3079153. Is n a prime number?
False
Let z = -488 + 507. Suppose 6 = -17*q + z*q, -41904 = -4*f - 4*q. Is f prime?
False
Is (-6)/(0 - (-24)/(-44636)) a composite number?
False
Suppose 9*g - 24 = g. Suppose 4 = -3*b - 5, -g*t + 4*b + 11241 = 0. Is t prime?
False
Is (1175806/(-1))/(-581 - -579) composite?
True
Let o(m) = 9232*m**2 - 5*m + 7. Let t be o(2). Suppose 9*f - t = 7778. Is f prime?
True
Let r = 541 - 555. Is (-887)/((-102)/(-26) + 10 + r) a composite number?
True
Suppose 4*w - 6 = 2. Suppose 9*s - w*s = 49. Let n(q) = q**3 - 4*q**2 - 2*q - 6. Is n(s) prime?
True
Suppose -56*l - 150 = -766. Suppose l*x - 16*x + 1907 = q, 0 = -4*q - 2*x + 7628. Is q a composite number?
False
Let d(n) = -15*n + 108. Let z be d(7). Suppose z*k + 3*p - 81564 = 0, 5*k - 135964 = -0*k + 3*p. Is k prime?
True
Let z(p) be the third derivative of -p**4/8 + 41*p**3/6 - 8*p**2. Let j be z(13). Is (j + -1)*2*3314/4 composite?
False
Let t(r) be the first derivative of -2*r**3/3 - 23*r**2 + 35*r + 47. Let o(h) = 2*h**2 + 46*h - 35. Let n(a) = -2*o(a) - 3*t(a). Is n(24) prime?
True
Let p = 8 + -1. Let n(u) = -9*u**2 - 7*u - 1. Let t(d) = d**2 + d - 1. Let h(g) = -n(g) - 2*t(g). Is h(p) a prime number?
False
Let d = -2577 + 4231. Let t = -4818 + 7562. Suppose -2*l + d + t = 0. Is l a composite number?
True
Suppose -192 - 2296 = -8*w. Suppose -3*h = -124 - w. Is h a prime number?
False
Suppose -43*g = -46*g + 24717. Suppose -o + g = -1878. Is o a composite number?
True
Suppose 0 = 90*i - 0*i - 2388510. Is i a composite number?
False
Suppose 13*i = 2*v + 8*i + 81, -4*v = i + 151. Is (-3 - -5)*(-231857)/v a composite number?
False
Let m(h) = 62*h - 59*h - 6 + 2*h**2 + 13. Let t(a) = 3*a**2 + 2*a + 6. Let j(u) = -6*m(u) + 5*t(u). Is j(-11) a composite number?
False
Let c = -71858 + 144165. Is c a composite number?
False
Let a be (-8)/(16/(-15))*6900/9. Let l = a - 2103. Is l prime?
False
Let l = -61 + 2672. Is l composite?
True
Let q be (16/(-24))/((-1)/38301). Let u be q/14 - (-6)/42. Suppose -u - 68 = -4*r. Is r a composite number?
True
Let v be 6/(-21) + (-17510)/14. Let b(x) = -x**3 + 27*x**2 - 36*x - 156. Let w be b(20). Let u = w + v. Is u prime?
True
Let p = -68755 + 133416. Is p composite?
False
Let d(k) be the first derivative of 11*k**2 - 49*k - 9. Let s be d(9). Let w = s - 72. Is w a prime number?
False
Let j = 1697 - 949. Suppose -5*z = -h - j, 2*z - 310 = 12*h - 8*h. Is z a composite number?
False
Suppose 3*i - 5718 = -4*j, -5*i + i = j - 7611. Let w = i + 859. Is w prime?
False
Is 1*(-4)/(-30) + 3872289229/10095 a prime number?
False
Let o(b) = 6*b**2 - b - 8. Let g be o(4). Suppose -12378 = g*w - 90*w. Is w a composite number?
False
Let l(f) = 3*f + 317. Suppose 0 = -8*x + 10*x - 80. Let m = -40 + x. Is l(m) a prime number?
True
Suppose 0 = -52*n - 9*n + 43027 + 5222554. Is n a composite number?
True
Let q(b) = -2*b - 26. Let a be q(-18). Suppose 2088 - 10548 = -a*c. Suppose -2*n - c = -8*n. Is n a prime number?
False
Let c(x) = -4*x + 641. Let k(r) = r**2 - 10*r - 11. Let j be k(11). Is c(j) a prime number?
True
Let c(n) = -13*n**3 - 42*n**2 - 126*n + 447. Is c(-28) a prime number?
True
Let f = -158007 - -374884. Is f prime?
True
Suppose 1760*l + 437288 = 1768*l. Is l a prime number?
False
Suppose 4*a = 98*b - 96*b + 349786, 3*a - 262337 = 2*b. Is a prime?
False
Suppose -l = -71 + 62. Suppose 34 = -6*o + l*o - 2*i, o = -2*i + 6. Suppose 0 = 5*q + o, 4*q = -3*n + 5*q + 1421. Is n a composite number?
True
Let q be -2 + 4871 + (-16)/2. Suppose 37*w - 38*w = -q. Is w a composite number?
False
Is 2*28513/10*5 - 2 composite?
True
Suppose 0 = -5*v - 4*q - 30674 + 434495, 3*v - q = 242279. Is v a composite number?
False
Let b = 8 + -6. Suppose 2*i = b*r - 3630, 1807 = -0*r + r + i. Is r a composite number?
False
Suppose 9*o + 4*y + 440574 = 11*o, 5*o - 1101507 = -2*y. Is o prime?
False
Let s = 5187 + -3607. Suppose -110*u = -100*u - s. Is u prime?
False
Suppose 2*m + 5*d = -179, 11*m + 161 = 9*m + d. Is (123/m)/(-1 - (-7977)/7978) prime?
False
Let o(s) = -s**2. Let t(g) = 1248*g**2 - g - 8. Let j(q) = -4*o(q) + t(q). Is j(3) a prime number?
True
Let f(j) = 156*j**3 + 5*j**2 - 57*j + 27. Is f(5) a prime number?
False
Is ((-1050)/20)/(-5)*4570430/15 a prime number?
False
Let s(u) = u + 1. Let l be s(1). Suppose -p + 2676 = -5*z, -2*z - 10688 = -4*p + l*z. Is p composite?
False
Suppose -157 - 43 = 40*n. Is (n + 114/8)/((-6)/(-6312)) a composite number?
True
Suppose 0 = u - 43 - 32. Suppose 5*b = -2*m - u, 5*m - 2*m + 36 = -3*b. Let l(w) = -w**3 - 18*w**2 - 25*w - 9. Is l(b) a prime number?
True
Suppose -55 = -b - 0*b. Let j = 34 - b. Is (70/j)/(6/(-531)) a prime number?
False
Let q be (-171651)/(-145) + (-1)/(-5)*-4. Suppose 1188*r - q*r = 6805. Is r a composite number?
False
Let p = 91 + -63. Let d be (-15)/(-5)*p/(-3). Is (-7539)/d + (-2)/8 prime?
True
Let l be 27/(-36) + (-21510)/(-8). Suppose -u - 2*h = -l, -u + 2680 = -0*u + 4*h. Let k = u - 849. Is k composite?
False
Suppose -122*p + 845992 = -58*p - 141336. Is p prime?
True
Let d = 26763 + -19057. Is d/6 - 4/(-6) prime?
False
Let r(a) = -269*a**3 + a**2 + 20*a + 129. Is r(-5) composite?
False
Let b be (-1)/(-1)*(-30 + 3659). Let p = b + -2478. Is p prime?
True
Is 198145 + (-11)/(110/(-100)) prime?
False
Let f = -917 + 969. Is (378387/(-27))/(4 + f/(-12)) composite?
False
Suppose 4*q + 4*c = -30444 + 786392, -2*q + 377978 = 3*c. Is q a composite number?
False
Let r be (-1 + 2)/(-2 + (-25)/(-10)). Suppose -3*b = -r*p + 2764 + 471, -b + 6435 = 4*p. Let h = p + -823. Is h composite?
False
Let v be 10/(-30)*(-3 + 2)*6. Is (8336/(-24))/(v/(-3)) composite?
False
Suppose -2*v = 11065 - 149447. Is v a prime number?
True
Suppose -278554 + 1071314 = 5*p - a, -20*a - 100 = 0. Is p a composite number?
False
Is 0 - -2 - 13/((-39)/11691) a prime number?
False
Suppose -3*k - d - 3 = -2*k, -2*d = -5*k + 20. Is k/3*(-23820)/(-40) a composite number?
False
Let u = -31 + 23. Let g be (u - -1)*-1 - 4. Suppose 4*s + s + 5*p = 800, -776 = -5*s + g*p. Is s a prime number?
True
Suppose -10269 = -19*o + 14146. Suppose 0 = -5*v - o + 17640. Is v composite?
False
Let q(p) = -p**3 - 28*p**2 - 4. Let v be q(-28). Is (-1814)/(-3*v/(-6)) a prime number?
True
Let b(m) = -11242*m + 1411. Is b(-45) prime?
True
Let a = 96456 - -494561. Is a prime?
False
Let h = -54 - -56. Suppose 0
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{
"pile_set_name": "DM Mathematics"
}
|
Suppose -20 = -5*f, 5*n = -3*f + 17 + 15. Suppose -6*j + 2 + 16 = 0. What is the derivative of 31*s**3 - 6*s - 18*s**j - n + 6*s wrt s?
39*s**2
Let y(b) = b**5 - b**4 - 2*b + 1. Let d(s) = -155*s**5 - 2*s**4 - 2*s + 8. Let q(l) = d(l) - 2*y(l). What is the second derivative of q(f) wrt f?
-3140*f**3
Differentiate -572 + 279 + 289 - 76*v with respect to v.
-76
Let o(p) = -103*p**4 - 4*p**3 - 4*p**2 - 66. Let b(z) = -102*z**4 - 3*z**3 - 3*z**2 - 65. Let d(h) = 4*b(h) - 3*o(h). Differentiate d(k) wrt k.
-396*k**3
Let r(c) = -c**2 + 5*c. Suppose 5*u + 8 = 28. Let g be r(u). What is the third derivative of 2*v**6 + 4*v**6 + g*v**2 - 3*v**2 - v**6 wrt v?
600*v**3
Let s(y) be the third derivative of -17*y**6/120 + y**3/3 + 27*y**2. Differentiate s(r) with respect to r.
-51*r**2
Let h = -23 - -28. Find the third derivative of 9*j**3 + 34*j**2 - h*j**3 - 2*j**2 wrt j.
24
Let u be (-16)/6*(-3)/1. Let w = u + -6. Differentiate -1 + w - 5*a**3 + a**3 with respect to a.
-12*a**2
Let h(k) be the first derivative of 3*k**6/40 + k**4/12 + 4*k**2 - 6. Let a(i) be the second derivative of h(i). Find the second derivative of a(o) wrt o.
54*o
Let n(g) be the second derivative of 3*g**6/5 + g**5/5 - 5*g**4/3 - 229*g. Find the third derivative of n(y) wrt y.
432*y + 24
Let v(l) be the first derivative of -191*l**4/4 + 254*l - 99. Differentiate v(w) with respect to w.
-573*w**2
Let y(n) be the third derivative of 713*n**7/210 - n**4/6 - n**3/3 + 67*n**2 + n. Find the second derivative of y(t) wrt t.
8556*t**2
Let b(w) be the first derivative of 0*w**5 + 11 + 7/3*w**3 + 19/7*w**7 + 0*w**4 + 0*w + 0*w**6 + 0*w**2. What is the third derivative of b(n) wrt n?
2280*n**3
Suppose -8*k + 11*k - 4 = -2*z, k - 2*z - 4 = 0. Let w(u) be the second derivative of -6*u**k + 0*u**3 + 0 - u - 5/6*u**4. Differentiate w(m) with respect to m.
-20*m
Suppose 53*z + 15 = 56*z. What is the third derivative of -484*r**2 + 0*r**5 + 21*r**z + 486*r**2 + 9*r**5 wrt r?
1800*r**2
Let w(s) be the first derivative of 3*s**4/2 - 5*s**2 - 195*s + 63. What is the derivative of w(n) wrt n?
18*n**2 - 10
Suppose 4*f + 2 = 6*f. Suppose 2*y = -0*y. Find the first derivative of f + 5*j + j + y wrt j.
6
Find the second derivative of 0 - 123*g + 2 + 4*g**3 - 8*g**2 - 63*g - 2 wrt g.
24*g - 16
Find the third derivative of -76*f**2 + 157*f**2 + 7*f - 78*f**4 - 76*f**2 wrt f.
-1872*f
Suppose -2*w = j - 2, 5*j + 5*w = 7*j + 5. Let n(a) be the first derivative of 11*a + 1 - 3/4*a**4 + 0*a**2 + j*a**3. Differentiate n(b) wrt b.
-9*b**2
Let w be 24/(-4) + 3 - 45. Let c be (w/4)/(-3) - 0. What is the third derivative of -2*b**2 - 11*b**4 + 3*b**c - 4*b**2 wrt b?
-192*b
Let n(y) = 41*y**3 - 4*y**2 - 8*y - 63. Let h(z) = -z**2 - 2*z - 1. Let i(o) = 4*h(o) - n(o). What is the first derivative of i(p) wrt p?
-123*p**2
Suppose -3*j + 4*k = 10, -2*j - 2*k - 3*k = -24. Let n be 4/(2*1/j). Find the third derivative of 4*h**2 + 11*h**n - 5*h**4 + 7*h**2 - h**2 wrt h.
144*h
Let y(x) = x - 26 - 12*x + x - 4*x. Let j(r) = 43*r + 78. Let z(p) = 4*j(p) + 11*y(p). Find the first derivative of z(h) wrt h.
18
Let l(b) = -217*b**3 - 24*b**2 - 10*b - 26. Let i(d) = 325*d**3 + 37*d**2 + 16*d + 39. Let f(a) = 5*i(a) + 8*l(a). What is the third derivative of f(q) wrt q?
-666
Let r(a) be the first derivative of 2*a**6/45 + 19*a**4/24 - 10*a**3/3 - 6. Let s(w) be the third derivative of r(w). Find the first derivative of s(y) wrt y.
32*y
Let t = -3 + 5. Suppose 0 = 5*m - t*m - 12. What is the second derivative of m - q**3 + 6*q - 4*q - 4 wrt q?
-6*q
Suppose 36 = 3*p + 12. Let a = p - 3. What is the second derivative of k**5 - a*k**5 + 2*k**5 + k wrt k?
-40*k**3
Suppose -p = 3*r - 32, -p + 2 = -2*r + 20. What is the derivative of -5 + 35*s - 35*s - r*s**4 wrt s?
-40*s**3
Suppose 89 = 4*d + 25. Find the first derivative of 16*z + z**2 - d*z - 2 wrt z.
2*z
What is the second derivative of 4*u**2 - 377*u**3 - 11*u + 0*u**2 + 390*u**3 wrt u?
78*u + 8
Find the first derivative of 217 - 21*z**2 - 2*z**3 + 5*z**3 - 149 + 6*z**2 wrt z.
9*z**2 - 30*z
Suppose -4*s + 1 = -5*y - 9, 20 = 4*s. Suppose 0*v + 3*v + 9 = 5*z, y*v - 7 = -z. Find the second derivative of -3*l**2 + 7*l**3 + 3*l**3 + 3*l + z*l**2 wrt l.
60*l
Let q(f) = 6*f + 1. Let h be q(-1). Let d(u) = u**2 + 4*u. Let p be d(h). What is the second derivative of 10*n**p + 4 - 12*n - 6 + 2 wrt n?
200*n**3
Suppose -101 - 34 = -5*c. Differentiate 3 + 28*z**3 - c*z**3 + 24 wrt z.
3*z**2
Let c(w) be the third derivative of -389*w**7/105 - 211*w**5/60 + w**3/3 - 27*w**2 + 5. Find the third derivative of c(o) wrt o.
-18672*o
Let v(p) be the second derivative of 95*p**3/6 + 185*p**2/2 + 158*p. What is the derivative of v(g) wrt g?
95
Let i(t) be the second derivative of 233*t**5/10 + 23*t**4/6 + t**2/2 + 684*t. What is the third derivative of i(l) wrt l?
2796
Let a be (-5)/(-1) + (-3 - -4). What is the second derivative of 2*z - a*z**4 - 2*z + 3*z - 7*z**4 wrt z?
-156*z**2
Let q(l) be the third derivative of 5/6*l**3 + 3/20*l**5 + 0*l + 6*l**2 + 0 + 0*l**4. Differentiate q(g) wrt g.
18*g
Let n(v) be the first derivative of 3*v**5/5 - 7*v**2 + 315*v - 404. What is the first derivative of n(m) wrt m?
12*m**3 - 14
Let p(u) be the second derivative of u**10/168 + u**6/45 + 7*u**3/3 - 21*u. Let q(h) be the second derivative of p(h). Find the third derivative of q(b) wrt b.
3600*b**3
Let z(b) = -124*b**2 - 10*b + 7. Let v(o) = 125*o**2 + 9*o - 6. Let f(q) = -4*v(q) - 3*z(q). Find the second derivative of f(i) wrt i.
-256
Let h be 7/(-14)*6/(-3). Suppose -h = 5*n - 11. Differentiate -34 + n*t**4 - t**2 + 38 + t**2 with respect to t.
8*t**3
Let q(j) be the second derivative of -73*j**8/56 + 23*j**4/12 - j**3/2 + 47*j. Find the third derivative of q(g) wrt g.
-8760*g**3
Let j(g) be the first derivative of g**6/10 - 5*g**4/24 + 5*g**2 + 1. Let x(c) be the second derivative of j(c). Find the second derivative of x(t) wrt t.
72*t
Let m(r) be the first derivative of -92*r**3 + 181*r - 72. Find the first derivative of m(h) wrt h.
-552*h
Let d(a) be the first derivative of 309*a**7/7 + 509*a**3/3 + 575. What is the third derivative of d(z) wrt z?
37080*z**3
Let p(l) be the first derivative of 132*l**5/5 - 285*l**2/2 - 63. What is the second derivative of p(d) wrt d?
1584*d**2
Let i(t) = -2*t - 6. Let o be i(-3). Let l = o - -6. What is the third derivative of 19*c**6 - 5*c**2 - 16*c**l + 13*c**2 wrt c?
360*c**3
Let y(a) = -4*a**2 - 7. Let w(n) = -4*n**2 - 3 - 1 + 0 - 2. Let f(k) = 5*w(k) - 6*y(k). Find the first derivative of f(x) wrt x.
8*x
Suppose -4*a + 4*u = -72, -3*a - 2*u = -0*a - 54. What is the third derivative of 2*n**5 + a*n**2 - 10*n**5 + 278*n**3 - 278*n**3 wrt n?
-480*n**2
Let i(p) be the second derivative of -13*p**6/30 - 7*p**5/20 - 15*p**3 + p**2 - 2*p + 12. Find the second derivative of i(k) wrt k.
-156*k**2 - 42*k
Let i(s) = -46*s**4 + 4*s**2 + 2*s + 99. Let r(o) = 45*o**4 - 3*o**2 - o - 99. Let u(p) = 3*i(p) + 4*r(p). Differentiate u(q) with respect to q.
168*q**3 + 2
Let n(u) = -u**3 + u**2 + 2*u + 4. Let x be n(0). Differentiate 12*w**4 - 3 - 3*w**x - 2*w**4 + 6 wrt w.
28*w**3
Suppose l + 5 = -0*l - 3*z, 3*l + z - 17 = 0. Let x be (-52)/(-24) + (-3)/18. What is the first derivative of s**3 + 8 + x*s**3 - 8 - l wrt s?
9*s**2
Let g(n) = 562*n**3 - 11*n + 596. Let h(k) = -188*k**3 + 4*k - 199. Let y(d) = 4*g(d) + 11*h(d). Differentiate y(x) with respect to x.
540*x**2
Let y = 0 + -1. Let q be (-3*2 - -2)/y. Find the third derivative of 6*s**2 + 3*s**4 - 2*s**q + 2*s**4 wrt s.
72*s
Let y(k) = -k**2 + 2 - 3 + 47*k - 46*k. Let l(t) = -19*t**5 - 10*t**2 - t + 1. Let w(o) = -l(o) - y(o). What is the third derivative of w(z) wrt z?
1140*z**2
Let i(q) = q**2 + 9*q + 17. Let j be i(-7). Find the second derivative of 11*d**3 + 21*d - j*d**3 - 56*d wrt d.
48*d
What is the third derivative of -12 + 482*c**6 - 5*c**2 - 472*c**6 + 4*c**2 wrt c?
1200*c**3
Let m(n) = -n**2 + 6*n + 12. Let i be m(7). Find the second derivative of -9*a + 4*a**2 - 6*a**2 + i*a**2 + 11*a**2 wrt a.
28
Suppose t - 10 = -4*t. Let k = -2 + 2. Differentiate -t*q**4 - 3*q**2 - 4 + 3*q**2 + k wrt q.
-8*q**3
Let b be 3/3 - ((7 - 7) + 1). Let c(k) be the first derivative of -3/2*k**2 + 0*k**3 + 3/4*k**4 + b*k + 6. What is the second deriv
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{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(100)*6 - sqrt(100)).
18*sqrt(13)/11
Simplify -3 + ((sqrt(468) + -1)**2 - sqrt(468)) - (3 + sqrt(468) + -2).
-24*sqrt(13) + 465
Simplify (-1*sqrt(272)*3 + sqrt(272) + sqrt(272))**2 + (((sqrt(612) + 1)*4)**2 - sqrt(612)).
186*sqrt(17) + 10080
Simplify 3 + ((sqrt(110)/sqrt(10) + 5)**2 + sqrt(11) - (sqrt(11) - 4*(sqrt(11) + -4))).
23 + 14*sqrt(11)
Simplify -5*(3 + (-3*3*sqrt(300))**2).
-121515
Simplify (sqrt(378)*2 - sqrt(378))/(sqrt(384) + sqrt(384)*5).
sqrt(7)/16
Simplify (-1 + (sqrt(153) - ((sqrt(153) - (sqrt(153) - (sqrt(153)*5 + sqrt(153))*-2)) + sqrt(153)))/(sqrt(144)*2))**2.
-3*sqrt(17) + 157/4
Simplify (sqrt(3969) + (sqrt(3969) - (-2*sqrt(3969) - sqrt(3969)))*1 + sqrt(3969))/(2*(-2*sqrt(77))/sqrt(11)).
-27*sqrt(7)/2
Simplify -6*-3*(sqrt(78)/(sqrt(66)/(2*sqrt(11)) - sqrt(6)) + -4 + 2).
-36*sqrt(13) - 36
Simplify 3*(-5*-2*sqrt(91))/(2*sqrt(7)*1).
15*sqrt(13)
Simplify (sqrt(3087)*2)/sqrt(9) + (sqrt(14)/(5*(sqrt(2) + 1*sqrt(2))))**2.
7/100 + 14*sqrt(7)
Simplify 4 + -5*sqrt(1573)*-2 - (2*(2*sqrt(117) + sqrt(117)) + sqrt(117))/(-4*(1*sqrt(9) + sqrt(9))).
4 + 887*sqrt(13)/8
Simplify 4*-3*sqrt(96)/sqrt(2) + 4.
-48*sqrt(3) + 4
Simplify -1 + -6*(-4*(-3 + sqrt(192))**2 + sqrt(192)).
-1200*sqrt(3) + 4823
Simplify sqrt(20) + sqrt(180)/(1*sqrt(9)) + 3 + ((sqrt(5) + 2)*-4 - sqrt(125)*-3).
-5 + 15*sqrt(5)
Simplify (sqrt(1024) + (-1*sqrt(1024) - sqrt(1024)))/(-2*sqrt(48)/sqrt(6)) + -1.
-1 + 4*sqrt(2)
Simplify ((sqrt(24) - sqrt(216)*-4) + sqrt(24))/(sqrt(1728)*-3)*-1.
7*sqrt(2)/18
Simplify ((-5*(sqrt(56) - sqrt(1400)))/(sqrt(88)/(sqrt(11)*3)))**2.
25200
Simplify -1 + 4 + 5*(sqrt(833) + 2)**2.
140*sqrt(17) + 4188
Simplify ((-2*sqrt(15)*-6*-5)/((sqrt(27)*1 + sqrt(27))*3))**2.
500/9
Simplify (sqrt(6) - (sqrt(150)*-2 + sqrt(150)) - (3*(sqrt(18)/sqrt(3) - sqrt(6)) - sqrt(6)))/(sqrt(36)/(sqrt(36)/sqrt(3)*-4)).
-28*sqrt(2)
Simplify 5*(-3 + ((sqrt(176)/sqrt(4))/sqrt(4))**2) + 0 + (0 + sqrt(704) + 0)**2.
744
Simplify sqrt(20)/(sqrt(10)*3) + sqrt(12)/sqrt(6) + -5 + 3*(4 + 1 + sqrt(2) + 0).
13*sqrt(2)/3 + 10
Simplify -5 + sqrt(66)/(sqrt(24)/(sqrt(20)/sqrt(5)))*-2.
-2*sqrt(11) - 5
Simplify ((2*sqrt(1024))/((sqrt(968) + -2*sqrt(968) - sqrt(968)) + sqrt(968)))**2 - (0 + -2*(sqrt(2) - (sqrt(2) + -1 + -5)))**2.
-16912/121
Simplify ((4*(sqrt(70) - sqrt(70)*-3 - sqrt(70)))/sqrt(7))/(sqrt(8)/(-6*sqrt(4)*-3)).
216*sqrt(5)
Simplify (5*-2*(-3*-3*sqrt(102) - sqrt(102))/(sqrt(600)*3))**2.
1088/9
Simplify ((sqrt(204)*-3)/sqrt(12)*5)**2 - (sqrt(17) + (sqrt(17) - (sqrt(17) + sqrt(1700) + 3)))*-6.
-54*sqrt(17) + 3807
Simplify (sqrt(360)/(sqrt(24)/sqrt(2)) + (-1*sqrt(210))/sqrt(7))/(-1*(sqrt(6)*-1 - sqrt(6)) - sqrt(6) - sqrt(576)/sqrt(6)).
0
Simplify -4 + ((1*sqrt(432)*-4)**2 - (sqrt(432) + -3 + 2*sqrt(432))).
-36*sqrt(3) + 6911
Simplify (-3*(sqrt(308) + 2*sqrt(308) + sqrt(308)) - sqrt(308))/sqrt(11) - (-2 + sqrt(56)/sqrt(2) - (5 + sqrt(448)))**2.
-301 - 110*sqrt(7)
Simplify (6*(sqrt(110) - sqrt(110)*-2) + sqrt(110) + 6*(sqrt(110) + -2*sqrt(110) + sqrt(110)))/(sqrt(810)*2*-4).
-19*sqrt(11)/72
Simplify (sqrt(2448) + (2 + sqrt(2448) - sqrt(2448)) + 4 + ((-3 + sqrt(425) + sqrt(425))*-5)**2)*6.
-8928*sqrt(17) + 256386
Simplify (-3 + -1*sqrt(17) - (0 + sqrt(17) + 2)) + (sqrt(425) - -1*sqrt(425)*2)**2 + -4.
-2*sqrt(17) + 3816
Simplify ((sqrt(13) + sqrt(104)/(sqrt(24)/sqrt(3)) + sqrt(78)/(-1*sqrt(6)))*6)**2.
468
Simplify 4 + (sqrt(198)/(sqrt(11) + sqrt(99))*2)/(sqrt(6)*1*-3 + (sqrt(72)/sqrt(2))/sqrt(6)).
-sqrt(3)/4 + 4
Simplify ((2*sqrt(1800) + sqrt(1800) - ((sqrt(198)*-1)/sqrt(11) - sqrt(18)))/(-6*(sqrt(270)/sqrt(5))/sqrt(9)))**2.
256/3
Simplify (sqrt(1872)*-2*-1 + 5 + (3 + 2*sqrt(1872) + sqrt(1872) - -4*(-1 + sqrt(1872))))**2.
864*sqrt(13) + 151648
Simplify -3*(3 + sqrt(28)/sqrt(4))*-2 - (sqrt(49)/(sqrt(7)*-1) + (sqrt(7) + sqrt(7) + 3)*-5).
33 + 17*sqrt(7)
Simplify sqrt(76)*2*-4 - -6*(2 + 1 + sqrt(19)).
-10*sqrt(19) + 18
Simplify ((-4*sqrt(2448)*-1 - sqrt(2448))*4)**2 - (1 + (5 + 1 + sqrt(2448) + sqrt(2448))**2).
-288*sqrt(17) + 342683
Simplify (sqrt(11)*4 + 5 + sqrt(22)/(sqrt(2) - sqrt(128)))*2.
10 + 54*sqrt(11)/7
Simplify (5*sqrt(272)*3*-3*-1)**2.
550800
Simplify 0 + (-1 + sqrt(500))*-6 + -3 + 1.
-60*sqrt(5) + 4
Simplify 5*(-4 + sqrt(1300) + 1 - (sqrt(3146)*2)/sqrt(2)).
-60*sqrt(13) - 15
Simplify (-2*sqrt(10)*-5)/((sqrt(2)*1 + sqrt(2))*2).
5*sqrt(5)/2
Simplify (sqrt(110) - (sqrt(110) - (sqrt(110) - (sqrt(110) - sqrt(110)*-1))*3))/sqrt(10) + (sqrt(1100) + -1 + 0)**2.
-23*sqrt(11) + 1101
Simplify (-2*(-1 + 2*(1 + sqrt(304)) + (sqrt(114) - ((6*sqrt(114)*2 - sqrt(114)) + sqrt(114)))/sqrt(6)))**2.
-24*sqrt(19) + 688
Simplify ((sqrt(6) + (sqrt(6) - (sqrt(150)*1 - sqrt(150))))/(sqrt(10)/(sqrt(40)/sqrt(8))) + -2)**2*2.
-16*sqrt(3) + 32
Simplify (-2*(-4 + sqrt(1008)))**2 - ((sqrt(1008) + 5*sqrt(1008)*3)**2 - sqrt(1008)).
-253952 - 372*sqrt(7)
Simplify (sqrt(128)*1 + sqrt(8))/sqrt(4) + 5*(sqrt(32) + 0).
25*sqrt(2)
Simplify ((sqrt(208) + -4 - sqrt(208))*3 + 4)**2 + 3.
67
Simplify -2*(6*(-5 + 1 + sqrt(80)))**2.
-6912 + 2304*sqrt(5)
Simplify (-6*sqrt(504)*3)/(sqrt(7) + 1*sqrt(567) - (sqrt(7) + 2*(sqrt(112) - sqrt(7)) + sqrt(7))).
-54*sqrt(2)
Simplify 2 + (1*sqrt(45) - (sqrt(25)/sqrt(5) + 0))*3*-5.
-30*sqrt(5) + 2
Simplify -3*(-6*(sqrt(5) + 0 + sqrt(5)) + -1 + 4*(sqrt(605) + -1 - sqrt(605)))**2*-4.
1440*sqrt(5) + 8940
Simplify -3 + (sqrt(190)/((2*sqrt(60))/sqrt(12)))/((3*sqrt(288))/sqrt(9)).
-3 + sqrt(19)/24
Simplify (5*-5*(-3*sqrt(63) - sqrt(42)/sqrt(6)*-1)*2)**2.
1120000
Simplify (-3 + (2*sqrt(99) + sqrt(99) - sqrt(99))*-6 + 4)*-2 + 0.
-2 + 72*sqrt(11)
Simplify -3 + (sqrt(5) + 0)**2 + (sqrt(245) + sqrt(245) + -1 - sqrt(245)) + (sqrt(405) + 0)*-1.
-2*sqrt(5) + 1
Simplify (((sqrt(91) + -2*sqrt(91))*-3 - sqrt(91))/(sqrt(196)/sqrt(7)) + 4)*6.
6*sqrt(13) + 24
Simplify (-3 + ((sqrt(66)/sqrt(6)*2)**2 - -1*sqrt(11)*4))*5.
20*sqrt(11) + 205
Simplify (1*sqrt(77)*6 + -5*(-1*sqrt(77) + sqrt(77)))/((sqrt(84) - -4*2*sqrt(84))/sqrt(12)).
2*sqrt(11)/3
Simplify ((sqrt(36)/(sqrt(84)/sqrt(7)) - (sqrt(9)/sqrt(3) + 5)) + 0)*-1.
5
Simplify 1*(sqrt(468) - (0 + (sqrt(468) - (sqrt(468) + sqrt(468) + sqrt(468)*2))))**2 - ((1 + sqrt(468))*5 + 0)**2.
-4237 - 300*sqrt(13)
Simplify 3*1*sqrt(200)*5 + -5*sqrt(24)/((sqrt(132)*-1)/sqrt(11)).
155*sqrt(2)
Simplify (sqrt(171)/sqrt(3)*5 - sqrt(399)/(sqrt(14)/sqrt(2)))/(sqrt(15)/(-1*sqrt(5))*1).
-4*sqrt(19)
Simplify ((sqrt(180) + sqrt(180)*5)/sqrt(5) - sqrt(36))/(sqrt(24)/sqrt(242)).
55*sqrt(3)
Simplify (0 + (-1 + sqrt(19) - sqrt(19)) + 1 + sqrt(209)/sqrt(704)*-3)**2.
171/64
Simplify (sqrt(572)/(sqrt(891) + sqrt(11)) - sqrt(52))/(sqrt(144)/sqrt(9)).
-9*sqrt(13)/20
Simplify sqrt(200)*3 - (((sqrt(12) - sqrt(72)/sqrt(6) - sqrt(12)) + sqrt(12))*1)/sqrt(6).
30*sqrt(2)
Simplify (((sqrt(19) - (-5*sqrt(19) + sqrt(19))) + 0)*-1)**2*-4 + 1.
-1899
Simplify (2*(1 + sqrt(19) + -5))**2 + (((1*sqrt(76) + sqrt(76))/sqrt(4))**2 - sqrt(76)/(2*sqrt(4))) + -1.
-65*sqrt(19)/2 + 215
Simplify -4*-5*(1 + (sqrt(832) + 0 - sqrt(13))**2 + sqrt(13) + (sqrt(78)*-2 + sqrt(78))/sqrt(6)).
12760
Simplify -5 + (((sqrt(104) + sqrt(104)*1)*-5)/(1*-2*sqrt(8)))**2*-1 + 3.
-327
Simplify -1 + (-6*-2*(-5*(sqrt(272)*-2 - sqrt(272)) - sqrt(272)))**2.
7676927
Simplify 1*((-3*(sqrt(162) + -1*sqrt(162)) + sqrt(162))**2 + -1 + 2)*1.
163
Simplify ((-2 + -2 + sqrt(700))*5)**2 + -4 + 4.
-2000*sqrt(7) + 17900
Simplify -4*sqrt(76) + 2 + (2*(sqrt(76) + 1 + sqrt(76)) - sqrt(76)).
-2*sqrt(19) + 4
Simplify (4*(1*sqrt(57) - sqrt(57)))/(-2*sqrt(12)).
0
Simplify (2*(sqrt(16) - sqrt(96)/sqrt(6)))/(sqrt(72)*2).
0
Simplify -4*(sqrt(36)/sqrt(2)*1)/(sqrt(72)/(sqrt(40)/sqrt(5))).
-4*sqrt(2)
Simplify (sqrt(108) - (sqrt(108)*2*5 + sqrt(108)))*-6 + (1*sqrt(300) + 1)*4.
4 + 400*sqrt(3)
Simplify ((sqrt(175) - (-3*sqrt(175) + sqrt(175) - sqrt(175))**2) + (sqrt(700) - sqrt(700)*5))*-3*-6.
-28350 - 630*sqrt(7)
Simplify (((sqrt(114) + ((sqrt(114)*-1 - sqrt(114)) + sqrt(114))*1)*-1)/(-5*(-6*sqrt(96) + sqrt(6) + sqrt(6))))**2.
0
Simplify 2*3*((sqrt(17) + (sqrt(17) - -1*(sqrt(17)*3 - sqrt(17))))**2 + -1).
1626
Simplify ((-1*sqrt(208))/sqrt(4) + sqrt(156)/(sqrt(3) + sqrt(3)*-1 + sqrt(3)))/(5*-4*sqrt(484)).
0
Simplify -2 + (sqrt(190)/(sqrt(90)*-3) + -1 + sqrt(1900) + 3)**2.
356*sqrt(19)/9 + 150661/81
Simplify (sqrt(84) + (-5*(sqrt(84) - 1*sqrt(84)) - sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
= 12*t**2. Give x(m(c)).
-1404*c**2
Let u(o) = o. Let k(g) = g**2 + 2*g. Let m(b) be the first derivative of 4*b**3/3 + 7*b**2/2 + 2. Let i(d) = 21*k(d) - 6*m(d). Calculate u(i(w)).
-3*w**2
Let g(p) be the third derivative of p**6/72 + p**4/12 + 3*p**2. Let t(d) be the second derivative of g(d). Let o(z) = -z**2. What is o(t(l))?
-100*l**2
Let o(c) be the second derivative of c**5/40 + c**3/3 - 3*c. Let u(d) be the second derivative of o(d). Let g(i) = -i**2. Calculate u(g(n)).
-3*n**2
Let i(p) = p - 1. Let c(w) = 3*w - 4. Let z(v) = 3*c(v) - 12*i(v). Let y(k) = -1. Let a(n) = -n + 6. Let r(m) = a(m) + 6*y(m). Determine r(z(d)).
3*d
Let k(h) = -h + 1. Let v(p) = -5*p + 4. Let i(s) = 4*k(s) - v(s). Let r(a) = 15*a. What is i(r(w))?
15*w
Let v(d) = -3*d**2 + 8*d**2 - 8*d**2 - 3*d**2. Let a(y) be the third derivative of y**4/12 + y**2. What is a(v(m))?
-12*m**2
Let d(j) = 6*j**2. Suppose -y - 8 = -4*x, -3*x = -y + 2*y + 1. Let q(p) = -1. Let n(r) = -r - 2. Let i(k) = x*n(k) - 2*q(k). Calculate d(i(b)).
6*b**2
Let m(i) = 2*i. Let b(v) = 2*v. Suppose 5*a = -1 - 4. Let n(h) = -h. Let k(o) = a*b(o) - 3*n(o). What is k(m(y))?
2*y
Let x(w) be the first derivative of 2*w**3/3 - 1. Let v(p) = 8*p. Let q(l) = l. Let r(a) = 12*q(a) - v(a). Give r(x(o)).
8*o**2
Let u(k) = 3*k. Let i be 4*((-9)/(-3) + -2). Suppose y = -i*o + 10, 2*o - 5 - 1 = -y. Let d(w) = -5*w + 0*w**2 + 5*w - y*w**2. What is d(u(s))?
-18*s**2
Let u(x) = x. Let m(f) = -6*f**2 - 256*f. Give m(u(g)).
-6*g**2 - 256*g
Let x(k) = 1015*k**2. Let b(u) = -4*u**2. Determine b(x(q)).
-4120900*q**4
Let w(r) be the second derivative of -r**3/2 + 31*r. Let y(t) = -2*t**2. Give w(y(d)).
6*d**2
Let a(d) be the first derivative of -d**3 + 1. Let r(w) = w**2 + 149 - 149. Determine r(a(q)).
9*q**4
Let h(b) = 27*b. Let t(w) = 6*w**2 - 4. Determine h(t(k)).
162*k**2 - 108
Let l(q) = -8*q. Let z(p) = 2*p + 10. Let f(y) = -1. Let m(i) = -20*f(i) - 2*z(i). Give m(l(c)).
32*c
Let k(h) be the third derivative of -h**4/24 + 3*h**2. Let u(j) = 2*j**2. What is u(k(t))?
2*t**2
Let r(s) = 3*s**2. Let c(w) = -270*w. Determine r(c(m)).
218700*m**2
Let t(c) be the second derivative of -c**3/3 + 6*c. Let w(g) = -g**2. Determine t(w(f)).
2*f**2
Let t(d) = -6*d**2. Let u(s) = s**2 + 2577 - 2577 + 5*s**2. What is u(t(o))?
216*o**4
Let x(w) = -2*w**2 + 4*w - 4. Let u(d) = 3*d**2 - 5*d + 5. Let q(k) = 4*u(k) + 5*x(k). Let y(z) = -4*z**2. What is q(y(j))?
32*j**4
Let j(r) be the first derivative of r**4/6 + r + 2. Let v(n) be the first derivative of j(n). Let b(y) = 2*y + y - 6*y. Calculate v(b(o)).
18*o**2
Let q(w) be the first derivative of -7*w**2 + 1. Let p(x) = -2*x**2. What is q(p(d))?
28*d**2
Let n(o) = o + 1. Let v(l) = 2*l - 1. Let x = 7 + -8. Let w(r) = x*n(r) - v(r). Let i(z) = -2*z. Calculate w(i(h)).
6*h
Let v(g) = 6*g - 5*g - g + g**2. Let r(k) = -18*k**2. Give r(v(q)).
-18*q**4
Let p(a) = 17*a**2. Let h(q) be the third derivative of q**5/30 + 2*q**2. What is p(h(x))?
68*x**4
Let i(b) = 21*b + 5. Let g(u) = 104*u + 26. Let y(n) = 5*g(n) - 26*i(n). Let r(w) = -w**2. What is y(r(m))?
26*m**2
Let m(f) = -109*f**2. Let p(y) = -43*y**2. Give m(p(l)).
-201541*l**4
Let d(q) = 19*q**2. Let m(v) = -14*v**2. What is d(m(t))?
3724*t**4
Let n(x) = 15*x - 9. Let l(t) = -8*t. Give l(n(y)).
-120*y + 72
Let c(t) = 6*t. Let s(v) = -6*v + 4. Let k(i) = 7*i - 5. Let z = -4 + 8. Let x(o) = z*k(o) + 5*s(o). What is x(c(b))?
-12*b
Let v(h) = 3*h - 3*h - 2*h + h. Let t(d) = -6*d**2. Give t(v(m)).
-6*m**2
Let j(m) = 10*m**2. Let u(b) = -6*b - 9. Give u(j(g)).
-60*g**2 - 9
Let t(w) = -w**2. Let y(m) = 39*m. Let j(i) be the second derivative of -2*i + 0*i**2 + 0 - 4/3*i**3. Let q(s) = -24*j(s) - 5*y(s). What is q(t(g))?
3*g**2
Let f = -11 + 13. Let p(n) = 7*n**2 - n**2 + 0*n**f. Let q(h) = -2*h**2. What is p(q(t))?
24*t**4
Let d(f) = 3*f - 2. Let h(s) = 4*s - 3. Let t(r) = -6*d(r) + 4*h(r). Let z(x) = -26*x**2. Give z(t(j)).
-104*j**2
Let b(h) = 390 + 4*h**2 - 390. Let c(y) = 3*y**2. Calculate c(b(f)).
48*f**4
Let n(g) = 6*g**2 - 11*g - 11. Let k(r) = -r**2 + 2*r + 2. Let f(a) = 22*k(a) + 4*n(a). Let p(w) = 4*w**2. Calculate f(p(x)).
32*x**4
Let c(p) = 6*p**2 + 3. Let q(i) = -17*i**2 - 8. Let h(u) = -8*c(u) - 3*q(u). Let l(y) = -5*y**2. Determine h(l(r)).
75*r**4
Let d(f) = 3*f**2. Let j(s) be the second derivative of -s**6/180 - 7*s**4/12 - 6*s. Let u(i) be the third derivative of j(i). Determine u(d(g)).
-12*g**2
Let v(u) be the first derivative of -u**5/40 + 2*u**3/3 - 4. Let b(p) be the third derivative of v(p). Let f(z) = 2*z**2. What is b(f(r))?
-6*r**2
Let b(d) = -2*d. Let i(o) = o**2 - 5*o**2 + 6 - 3*o**2 - 4. Let h(r) = 217*r**2 - 63. Let u(a) = -2*h(a) - 63*i(a). Calculate b(u(m)).
-14*m**2
Let d(b) = 2*b. Let f(u) = -191*u**2. Determine d(f(o)).
-382*o**2
Let q(a) be the second derivative of -a**3/2 - 2*a. Let g(c) = -2*c. What is g(q(j))?
6*j
Let c(r) = 3*r. Let b(w) = 4*w**2 + 289*w + 2. What is c(b(z))?
12*z**2 + 867*z + 6
Let o(v) = 4*v. Let y be 363/(-21) - (-2)/7. Let i be 4/10 - y/(-5). Let f(w) = -4*w. Let s(a) = -a. Let h(u) = i*s(u) + f(u). Give o(h(m)).
-4*m
Let d(u) be the third derivative of 3*u**5/20 + 3*u**2. Let c(i) = -4*i**2. Calculate d(c(h)).
144*h**4
Let n(r) = 3*r**2. Let q = 12 + -7. Let j(m) = -2*m - 2. Let t be j(-3). Let o(a) = t*a - q*a - a. Give o(n(l)).
-6*l**2
Let c(r) = -6*r. Let d(h) = -35*h. Calculate d(c(o)).
210*o
Let g(x) = 2*x + 6. Let u(o) = 2*o + 7. Let h(m) = -7*g(m) + 6*u(m). Let y(a) = -8*a**2. Give y(h(q)).
-32*q**2
Let c(l) = -34*l**2. Let q(p) = 98*p. Calculate q(c(h)).
-3332*h**2
Suppose -t = -5 + 3. Let l(f) be the second derivative of 1/12*f**4 + 0*f**2 + 0 + t*f + 0*f**3. Let d(o) = -o**2. Give l(d(z)).
z**4
Let y(t) = -9*t**2 + 3*t. Let l(m) = m. Let i(k) = 6*l(k) - y(k). Let a(j) = -j. Give a(i(g)).
-9*g**2 - 3*g
Let m(o) = -79*o + 158*o - 76*o. Let t(v) be the second derivative of v**4/12 - v. Calculate t(m(d)).
9*d**2
Let x(j) = -2*j. Let a(m) be the third derivative of m**5/12 + 3*m**2. What is a(x(f))?
20*f**2
Let c(k) = 5*k**2. Let o be (-495)/(-220) + (2 - 1)/(-4). Let w(v) be the second derivative of 0*v**o + 0 + v + 1/6*v**3. Determine c(w(j)).
5*j**2
Let t(j) be the third derivative of -3*j**2 + 0*j**3 + 1/24*j**4 + 0*j + 0. Let d(q) = -2*q**2 - 2*q**2 + 3*q**2. Calculate d(t(y)).
-y**2
Let t(w) be the second derivative of -w**4/4 + 2*w - 42. Let d(a) = -23*a. What is t(d(g))?
-1587*g**2
Let q(i) = -19728*i. Let o(g) = g**2. Determine o(q(t)).
389193984*t**2
Let y(k) be the second derivative of -2*k**3/3 + 4*k - 2. Let z(p) = -3*p. Give z(y(f)).
12*f
Let t = -5 + 7. Let d(v) be the second derivative of 0 + 1/6*v**3 + t*v + 0*v**2. Let g(a) = -a**2. Determine g(d(r)).
-r**2
Let o(g) be the first derivative of g**4/6 - g - 3. Let d(u) be the first derivative of o(u). Let a(c) = -c**2. What is a(d(p))?
-4*p**4
Let o(f) be the second derivative of -f**3/3 + 8*f. Let l(c) = 21*c**2. Give l(o(u)).
84*u**2
Let p(n) be the first derivative of n**6/360 - n**3/3 + 1. Let m(g) be the third derivative of p(g). Let h(q) = q**2. Give h(m(b)).
b**4
Let b(v) = -10*v**2. Let d(f) be the first derivative of 7*f**2 - 8*f + 5. Let s(l) = -5*l + 3. Let h(r) = 3*d(r) + 8*s(r). Determine h(b(z)).
-20*z**2
Let l(w) = -2*w**2. Let i(u) be the second derivative of -u**5/60 - u**3/2 + 4*u. Let r(b) be the second derivative of i(b). What is l(r(m))?
-8*m**2
Let p(j) = j. Let u(t) = -5502*t. Give p(u(n)).
-5502*n
Let s(l) = 2185*l - 2185*l + l**2. Let t(q) = q + 48. Calculate t(s(c)).
c**2 + 48
Let j(n) be the third derivative of -n**5/60 - n**2. Let s(g) = -g - 5. Let m be s(-5). Let q(x) = m*x + 0*x - x. Give q(j(c)).
c**2
Let q(w) = -2*w. Let h(k) = -k. Let u(j) = -2*h(j) + 2*q(j). Let d(l) = -3*l. Calculate d(u(v)).
6*v
Let v(h) = -4*h. Let x(z) = 52*z. Calculate x(v(g)).
-208*g
Let c(t) = 3*t. Let o(b) = 1 - 4 + 2*b + 3. What is o(c(a))?
6*a
Let z(m) = 346*m. Let g(k) = -11*k**2. Give z(g(w)).
-3806*w**2
Let z(i) = 1734*i. Let g(q) = -q. Determine z(g(a)).
-1734*a
Let x(j) be the third derivative of -7*j**4/24 - 2*j**2. Let t(b) be the second derivative of b**4/6 - 8*b. What is x(t(r))?
-14*r**2
Let w(n) = -5*n**2 + 2*n. Let i(x) = -3*x. Give w(i(l)).
-45*l**2 - 6*l
Let m be ((-8)/(-12))/
|
{
"pile_set_name": "DM Mathematics"
}
|
h - 40 - 20 = 0. Let d be q(h). Let k be ((-6)/14)/(6/(-4)). Which is smaller: k or d?
k
Let y(v) = -v**3 - 12*v**2 - 21*v + 8. Let s be y(-10). Suppose -16*n + 6 = -s*n. Which is greater: -6 or n?
n
Let q be (-2304)/9*(-4)/(-6). Let g = -9692/57 - q. Which is bigger: g or 1?
1
Let j = -7.91 - -8. Let a = j + -4.09. Let n = a + 3. Is n bigger than -1?
False
Let y = 4622/3 + -1516. Is 26 at most y?
False
Let m = 59 - 197. Let i = 137.9 + m. Which is smaller: i or 48?
i
Let d(x) be the first derivative of -x**4 + 4*x**3/3 - x**2 - x - 8. Let n be d(2). Which is greater: -19 or n?
-19
Suppose -206*x + 955 = -201*x. Which is smaller: x or 194?
x
Let u = 913/5 + -108622/595. Is 0 at most u?
True
Suppose 5*n + 960 - 3758 = -3*x, -x = 3*n - 1682. Is 562 > n?
False
Let p be -1 - -5 - (-560)/(-136). Suppose -3*x - 29 = -2*o, o - 22 = -0*o + 4*x. Let k = o + -9. Is k < p?
False
Let u be (0 - 21)/(16/(-12)). Suppose -11*v + 7*v = 64. Let g = u + v. Which is smaller: g or 0?
g
Let s(d) = -d**2 + d + 70. Let u be s(16). Do -176 and u have different values?
True
Let p = -0.00031 + 445.90031. Let u = p - 408. Let m = u + -36. Is 1 at least m?
False
Suppose 0 = 27*c + 23*c - 150. Is 32/5 <= c?
False
Let p(t) = -t**2 + 5*t - 2. Let q be p(7). Let k = 163 + -178. Which is greater: q or k?
k
Suppose -j + 8 = 3*h, -10*h + 10 = -4*j - 8*h. Is -11/10 less than or equal to j?
True
Suppose 5*q + 2*b + 80 = 0, 3*q + b + 56 = 7. Let a = -10 + -7. Which is greater: a or q?
a
Let s = -0.05 - -0.05. Let f = -8 - s. Let y = 7.7 + f. Does 0 = y?
False
Suppose -50 = -2*n + 5*d, 6*d = 3*n + 2*d - 89. Let j be (-963)/n - 2/10. Let y = -28 - j. Which is bigger: y or 8?
8
Let k be ((-18)/21)/(-3) + 912/(-546). Let d = 111 - 113. Which is smaller: k or d?
d
Let w = -1269.84 - -1270. Is -0.15 less than or equal to w?
True
Let p(w) = w**3 + 5*w**2 + 39*w + 136. Let n be p(-5). Is n > -54?
False
Let o = 1636 - 8183/5. Does o = -19/4?
False
Let o = -610 - -840. Is o not equal to 230?
False
Let i = -13 + 12. Let b be (4 - (-49)/(-17)) + i. Are b and 1 nonequal?
True
Let v = -69 - -70. Suppose -n - 3*c = 62, -5*n + 5*c = -11 + 421. Let w be n/(-25) - 3 - 0. Is w not equal to v?
True
Suppose -a - 4*b - 10 - 34 = 0, -239 = 5*a + b. Let g = a - -246/5. Which is smaller: g or 2?
g
Let s = -732 + 733. Let g = -1/15 - -11/15. Which is smaller: g or s?
g
Suppose 4*g - 2*c - 5 = 179, g + 5*c - 68 = 0. Suppose 0 = 8*n - 4*n - g. Let t = -16 + n. Is -4 not equal to t?
False
Suppose q = -5*a - 975, -2*a - 2*q + 4*q = 390. Let k be (-5)/(-8) - (a/20)/(-13). Suppose 4 = 2*n + 6. Is n greater than k?
False
Let z be (-30)/35 + (7 - 1). Which is smaller: z or 6?
z
Let s(k) = 119*k - 832. Let l be s(7). Are -13/88 and l unequal?
True
Let q(r) = 4*r + 6. Let j be q(5). Let y be (0/(-1))/(((-14)/(-56))/((-2)/8)). Which is bigger: y or j?
j
Let o(l) = 52*l - 487. Let h be o(7). Are -123 and h nonequal?
False
Suppose 2*c = -33 - 1. Let q(d) = -d. Let b(y) = -5*y - 18. Let f(n) = -b(n) + 4*q(n). Let g be f(c). Which is bigger: g or 0?
g
Let d = -5/3 + 11/4. Which is smaller: d or 0?
0
Suppose -5*v = -2*j + 44, j - v - 4 = -3*v. Let x = -9 + 4. Let b(c) = -c**3 - 4*c**2 + 4*c + 6. Let r be b(x). Is j > r?
True
Suppose 0 = 2*y + y. Let n be 2 + -2 + 1036/(-4824). Let s = -1/134 + n. Are y and s nonequal?
True
Suppose -s + 4*s + 4*k = -8, -2 = 2*s + 2*k. Let b(j) = 5*j - 15. Let m be b(s). Suppose -4 = 5*t + 6, 4*t + 2 = -v. Which is smaller: v or m?
m
Suppose -q - 3*x - 2 = 0, 23 = -5*x + 3. Let o be 6/q - ((-92)/(-5))/4. Which is smaller: -13 or o?
-13
Let f(x) = x**2 - 4*x + 2. Let j = -55 - -59. Let q be f(j). Are 4 and q nonequal?
True
Let a = 11.394 - 0.394. Which is smaller: -0.3 or a?
-0.3
Let s = 531 - 536. Is -6 smaller than s?
True
Suppose -494*s + 138 = -500*s. Is s <= -70/3?
False
Let d(g) = -g**2 + 4. Let q be d(0). Suppose 1 = -q*x + 5*j, 5*j - 2 = 3*x - 0. Let t = -124/3 + 42. Which is smaller: x or t?
t
Let r = -36.16 + 36. Let f = -7 + 7.26. Let i = r + f. Which is smaller: 2/25 or i?
2/25
Let j = -401887/166 + 2421. Is 1 >= j?
True
Suppose 182 - 17 = -3*i. Let h = -170 - -115. Is i at least as big as h?
True
Let z = 1.5 - 1. Let n = -0.622 - -0.022. Let w = z + n. Which is smaller: w or -3/8?
-3/8
Let z = -227 - -245. Which is greater: z or 10?
z
Let h = 27 - 5. Let y = h + -40. Let q = y + 18. Which is smaller: q or 2?
q
Let l = -20269/7 - -2905. Which is bigger: 8 or l?
l
Let k be (-4)/(-12) + 112/(-48). Which is smaller: k or -61?
-61
Let w = 4 + -3. Suppose -9 = d + 2*d, 2*a - 1 = -d. Let n be (-45)/(-18)*a/4. Is w less than or equal to n?
True
Let j = -34 + 40. Let w be -1 + (-10)/(4 - j). Suppose -5*a = -w*d - 4, -a - 1 = 5*d + 4. Does a = -3/19?
False
Suppose -3*d = 16*d. Is d not equal to 5/13?
True
Suppose -5*p - 3*t + 8 = 0, -p = 2*t - 4 + 1. Let m = -11/56 + 15/14. Is p smaller than m?
False
Let l = -13 + 7. Let b = 0.0899 + -6.0999. Let w = l - b. Are w and -1 nonequal?
True
Let w be 138/(-12) + 12 - (-90)/(-176). Is 1 < w?
False
Let k be (-12)/(-6) - 147/(-3). Let a = k - 63. Is a less than -12?
False
Let u(o) = 2*o + 19. Let q = 35 - 45. Let m be u(q). Let p be -6 + (17 + m)/4. Which is greater: -3 or p?
p
Let v = 6.9 + -7. Let i = -22 + 46. Let f = 30 - i. Is v greater than f?
False
Suppose -q + 2 = 2*y - 9, -4*y - 4*q = -32. Let s be 1*(y + -2) + 19. Suppose 5*z + s + 45 = 0. Is -12 at most as big as z?
False
Let t = 1.7086 + 0.2914. Is -281 <= t?
True
Let c = -15.36 + 1.36. Which is smaller: c or -27?
-27
Suppose 0 = 5*w, 3*b = 6*w - w. Which is smaller: 4/41 or b?
b
Let h be (2/(-231))/((-5)/90). Let t = 74/1463 - h. Let m = t - -73/152. Which is smaller: -1 or m?
-1
Let g = -429.2 + 397. Let c = 32 + g. Which is greater: c or 2?
2
Let d = -19 - -24. Suppose d*q - 3*u - 20 - 2 = 0, -10 = q + 3*u. Let c be 3/15 + 74/30. Which is smaller: q or c?
q
Suppose -39 = -3*f - 4*h, -5*h + 6*h = 3*f - 24. Suppose 3*m = 4*z + f + 8, -z - 2 = 0. Let p be (-2 + -1)/((-3)/2). Is m greater than p?
True
Let h = -18 - -32. Suppose 0 = 5*j - 10, 6*k - 2*k - 3*j + 82 = 0. Let o = k + 33. Is o < h?
False
Let v = 860 - 3415/4. Which is smaller: v or 7?
v
Suppose 5*h - 18 = 2. Let y = 16 + -30. Let m = y - -15. Is h greater than or equal to m?
True
Let b = 6 + -6. Suppose 3*y + 9 = b, 5*y - 210 = -3*a + 3*y. Let h = 218/3 - a. Which is smaller: -16 or h?
-16
Let b = -2.96 - -1.96. Is b less than 318?
True
Let w(z) = 9*z**2 + 6*z - 8. Let o be w(2). Let n = o + -41. Do -3/4 and n have the same value?
False
Let x be (-18)/4 + (-3)/(-6) + 515. Is x less than or equal to -1?
False
Let i = -42 - 196. Is -239 at least as big as i?
False
Let m(g) = -g**3 + 6*g**2 - 9*g + 4. Let a(b) = -b**2 + b - 1. Let d(q) = 3*a(q) - m(q). Let v be d(8). Let f = v - 126/5. Which is smaller: 1 or f?
f
Let v(g) = -g. Let y(a) = -3*a - 5. Let t(n) = -4*v(n) + y(n). Let d be t(12). Suppose 5*h - 2*x - 3 = 0, 5*h - 3 = -5*x + d. Which is smaller: 10 or h?
h
Let t = 519.1 - 519. Are t and -102 nonequal?
True
Let g = 2859/4 + -20437/28. Which is bigger: -14 or g?
-14
Let v be (0 + (-16)/12)*(-147)/35. Which is bigger: v or 7?
7
Let f = -5 + 0. Let a(k) = -k**2 + 6*k - 6. Let u be a(4). Suppose 0 = n - u + 6. Which is bigger: n or f?
n
Suppose 0 = 8*x - 6*x - 2*r + 110, 0 = -x - 3*r - 59. Is x greater than -58?
True
Let z(x) = -2*x**3 - 3*x**2 + 2*x + 4. Let g be z(-2). Suppose 3*n = 3*f - 21, 3*f - g*n - 16 = -2*n. Which is greater: 5/4 or f?
f
Let u be ((-670)/60)/((-2)/(-6)). Let g be (-268)/8 + (-6)/12. Is u smaller than g?
False
Let r = -64 - -40. Suppose 5*v - 3*g = 164, -3*v + 64 = 4*g - 17. Let u = v + r. Which is bigger: u or 6?
u
Let l = -4051/22313 - 3/421. Is -1 < l?
True
Let q be 9/(-11) + (-26)/143. Which is bigger: q or -86?
q
Let l = 150 + -152. Let s be l/(-3)*15/(-815). Which is bigger: s or 0?
0
Let q be 12/8*(790/(-6) + 3). Which is smaller: q or -196?
-196
Let q(h) = 4*h + 15. Let l be q(8). Suppose 5*j + l = 2. Suppose 2*z = -0*z - 18. Is j greater than z?
False
Let t = -515 + 566. Is 56 smaller than t?
False
Let g = 56 - 49. Let s(t) = -2*t**2 + 10*t - 6. Let w be s(g). Is -1/3 != w?
True
Let j be 123 - (-3)/(-2)*2. Which is bigger: 119 or j?
j
Let o = -0.788 + -4.402. Let d = 5.2 + o. Which is big
|
{
"pile_set_name": "DM Mathematics"
}
|
(0 + (3 + (1 + sqrt(1331) - sqrt(1331)) - (-2 + 2*sqrt(1331) + sqrt(1331))))**2.
-396*sqrt(11) + 12015
Simplify (-2*(sqrt(396) + 4) + sqrt(704) + -2 + 2 + -5)**2.
104*sqrt(11) + 345
Simplify -1 + (((sqrt(33)/sqrt(3) - sqrt(11)) + 0 + (sqrt(88) + 2*sqrt(88))/sqrt(8) + 2)*2)**2.
48*sqrt(11) + 411
Simplify (sqrt(3456) - 1*sqrt(3456))/(sqrt(120)/(sqrt(10) + 2*sqrt(10))) - (3 + (2 + sqrt(56)/sqrt(7))**2).
-15 - 8*sqrt(2)
Simplify (((sqrt(931) + -1)*1 + 0)**2 + -3)*5.
-70*sqrt(19) + 4645
Simplify -4 + -1*(4 + -1*sqrt(1539)) + 0.
-8 + 9*sqrt(19)
Simplify ((sqrt(1300) + sqrt(1300) + -1)*-4 - (sqrt(1300) + (sqrt(1300)*-2 + sqrt(1300))*-1))**2*6.
-4800*sqrt(13) + 780096
Simplify -2*(2*sqrt(114))/sqrt(6) + 2 + -4 + sqrt(475) + sqrt(475).
-2 + 6*sqrt(19)
Simplify ((2*sqrt(126))/sqrt(2) - sqrt(63) - (-3*sqrt(441) + sqrt(441))/sqrt(7))*6*2.
108*sqrt(7)
Simplify 5*(sqrt(19) + (2*sqrt(38))/sqrt(2) + 3 + (sqrt(190)/(-5*sqrt(40)/sqrt(4)))**2).
94/5 + 15*sqrt(19)
Simplify 6*(((-1*sqrt(405))**2 - sqrt(405)) + 3 + 4 + ((6*2*sqrt(405))**2 - (3 + (sqrt(405) - -1*sqrt(405))**2))).
-54*sqrt(5) + 342654
Simplify (-4 + 4 + 1 + 3 + sqrt(1573))**2.
88*sqrt(13) + 1589
Simplify -5 + 1 + (1 + sqrt(68))**2 + -5.
4*sqrt(17) + 60
Simplify -3*(sqrt(272) + 1)**2 + (sqrt(272) + 2 + 1)**2.
-538
Simplify (((sqrt(1300) + 0)*4 - (3 + sqrt(1300)*-1 + sqrt(1300) + sqrt(1300)))*-1)**2.
-180*sqrt(13) + 11709
Simplify 5*(3 + -2*(sqrt(6)/(sqrt(3) + -2*sqrt(3)) + sqrt(2))**2).
15
Simplify (2 + -2*sqrt(1008) + -1)**2 + (1 + (sqrt(1008) - (0 + 1*sqrt(1008)) - sqrt(1008)))**2 + -5.
-72*sqrt(7) + 5037
Simplify 4 + ((sqrt(2600)*1 - sqrt(2600))/((-2*sqrt(98) - sqrt(98)) + sqrt(98)))**2.
4
Simplify (sqrt(40)/sqrt(4)*5)/(-5*sqrt(8)).
-sqrt(5)/2
Simplify (sqrt(70)*-3*-6 - sqrt(70))/(sqrt(90)/(sqrt(54)/sqrt(6))).
17*sqrt(7)
Simplify ((sqrt(672) - (sqrt(672) + sqrt(672)*3)*-4)/(1*(sqrt(6) - sqrt(24)/sqrt(4)*2)))**2.
32368
Simplify ((3*(sqrt(65) + sqrt(65) + sqrt(65)*-1)*3)/(sqrt(20)/(sqrt(4) + -1*sqrt(100))))**2*1.
16848
Simplify (sqrt(475)*4 + 1 - (-3 + (-2*sqrt(95) + sqrt(95))/sqrt(5)))**2.
168*sqrt(19) + 8395
Simplify -5*-5*-5*sqrt(85)/sqrt(45)*-3.
125*sqrt(17)
Simplify -2 + 2*(2*(sqrt(448)*3 + 5))**2.
1920*sqrt(7) + 32454
Simplify (-1 + (sqrt(121)*1)/sqrt(11) + -1 + sqrt(275) + 5)**2*4.
144*sqrt(11) + 1620
Simplify 1*(-3 + (sqrt(325) + sqrt(325) + 0)**2 + -1)*1.
1296
Simplify (sqrt(272) + -2 + sqrt(272) + (sqrt(272)*-2 - sqrt(272)) + 4)**2*1*-1.
-276 + 16*sqrt(17)
Simplify (2 + sqrt(11) + -1 + -2 + 1 + sqrt(121)/(sqrt(11) - (sqrt(11) + (-1*sqrt(11) - sqrt(11)))) + 2)**2.
6*sqrt(11) + 115/4
Simplify (4 + (sqrt(2736) - (-2*sqrt(2736))**2) + 3)*6.
-65622 + 72*sqrt(19)
Simplify (3*sqrt(72) + 1 - 3*(sqrt(72) + -1))*-5.
-20
Simplify 3*(sqrt(1900) + -2)**2 + ((sqrt(76))**2*-1 - (sqrt(19) + (2*sqrt(19) + 3 - sqrt(19)))).
-122*sqrt(19) + 5633
Simplify (1*2*sqrt(143) - (sqrt(143) - sqrt(143)*2)*-3)/(1*sqrt(176)*1).
-sqrt(13)/4
Simplify (-5*(-1 + sqrt(343)))**2 - ((0 + sqrt(343))*-1 - sqrt(343) - sqrt(343)) - (-5 + -2 + sqrt(7) - (3 + sqrt(28))).
-328*sqrt(7) + 8610
Simplify (-1*((6*(sqrt(1216) - (1*sqrt(1216) + sqrt(1216))) - sqrt(1216) - sqrt(1216)) + 3))**2.
-384*sqrt(19) + 77833
Simplify (sqrt(1215) - 3*sqrt(1215))/(-2*sqrt(300))*-2.
-9*sqrt(5)/5
Simplify (-4 + sqrt(204)/(sqrt(24)/sqrt(2)))*4 + -1*(-2*sqrt(1377)*-5)**2.
-137716 + 4*sqrt(17)
Simplify (sqrt(42)/(3*sqrt(28)/sqrt(4)))/((sqrt(147) + 2*sqrt(147) + sqrt(3) - sqrt(3)) + -2*(sqrt(3) + (sqrt(3) - -2*sqrt(3)))) + 0.
sqrt(2)/39
Simplify (((sqrt(378) + (-6*2*sqrt(378) - sqrt(378)))/sqrt(9))/(6*(sqrt(48)*-2 + sqrt(48))/sqrt(8)))**2 + -4.
24
Simplify (-1*-2*sqrt(3)*2 - ((sqrt(3) - (-4*sqrt(300))**2) + 4))*2.
6*sqrt(3) + 9592
Simplify -4*(-3 + (sqrt(720)*-1*-4 - (sqrt(720) - (3 + sqrt(720) + 1*sqrt(720)))))**2.
-72000
Simplify ((sqrt(77)*1)/sqrt(11) - (-1 + sqrt(21)/sqrt(3))) + -2*(sqrt(252))**2.
-503
Simplify ((sqrt(245) - (-2 + sqrt(245))*6) + -2*(sqrt(245) + 0))**2.
-1176*sqrt(5) + 12149
Simplify (sqrt(68)*2*1 - (sqrt(68) + sqrt(68)*2*-2)**2) + -5.
-617 + 4*sqrt(17)
Simplify (-5*(2*5*sqrt(68) - 3*sqrt(68)*5))**2.
42500
Simplify (4 + sqrt(1200) + 4 + 3)*5.
55 + 100*sqrt(3)
Simplify (2 + (sqrt(208) + 4 + sqrt(13) + (sqrt(13) + 0)*-1 + -4)*5*2)**2.
160*sqrt(13) + 20804
Simplify sqrt(20)*-1 + sqrt(10)/sqrt(18) - (4 + -3 + sqrt(15)/sqrt(48)).
-23*sqrt(5)/12 - 1
Simplify (sqrt(228) + sqrt(228)*-3*3)/(sqrt(1200) - (sqrt(1200) - (sqrt(1200) - (sqrt(1200)*-2 + sqrt(1200))))).
-2*sqrt(19)/5
Simplify -2*6*3*(2*(sqrt(384)/sqrt(8))**2 + sqrt(48))*4.
-13824 - 576*sqrt(3)
Simplify -3*(6*(0 + sqrt(275) - sqrt(275))*2*-5)**2.
0
Simplify (-1*((-2*sqrt(72)*6 - sqrt(72) - sqrt(72)) + (sqrt(72) - (0 + sqrt(72))) + 0 + -5)*3)**2.
7560*sqrt(2) + 127233
Simplify (5*sqrt(550)*-2)/((sqrt(275)*1 + sqrt(275) + sqrt(275) - sqrt(275))*-2).
5*sqrt(2)/2
Simplify ((((sqrt(68) - (sqrt(68) + sqrt(68) + 4*sqrt(68)*2)) + sqrt(68))*2)/(sqrt(256)*1*-6))**2.
17/9
Simplify (sqrt(3) - (sqrt(243) + 1))**2 - ((sqrt(48)/sqrt(2))/sqrt(8))**2 - ((sqrt(432) + -2)**2 - sqrt(432))*-6.
-344*sqrt(3) + 2806
Simplify (sqrt(208)/(sqrt(72)/sqrt(2)))/(sqrt(576)*-2*5).
-sqrt(13)/360
Simplify (-2*(sqrt(210)*-1)/sqrt(10))/(sqrt(14)/sqrt(2)*-5 + (sqrt(112) - (sqrt(112) - sqrt(112)*-2 - sqrt(112)))).
-2*sqrt(3)/9
Simplify ((-2 + sqrt(11))**2 + -3 - (((sqrt(110) + sqrt(110)*-4)/sqrt(10) - sqrt(11)) + sqrt(11)))*4 + 0 + -1.
-4*sqrt(11) + 47
Simplify 5*(sqrt(85) - -5*(sqrt(85) + (-1*sqrt(85) - sqrt(85))) - ((sqrt(85) - sqrt(85)*2)*2 + sqrt(85)))/(-2*sqrt(45) + sqrt(480)/sqrt(6)).
15*sqrt(17)/2
Simplify -1 + (6*sqrt(1700)*1 - sqrt(1700)) + -2.
-3 + 50*sqrt(17)
Simplify 4*(-2*((sqrt(162) - sqrt(162)*-1) + -5 + 4 + 0 + sqrt(162)))**2.
-864*sqrt(2) + 23344
Simplify (((sqrt(448) + sqrt(28))/sqrt(4))**2 - sqrt(686)/sqrt(2)) + (sqrt(1050)*1 + sqrt(1050) + sqrt(42))/(sqrt(12)/sqrt(2)*-1).
-18*sqrt(7) + 175
Simplify (1*sqrt(119)*3)/((sqrt(7) - sqrt(63))*-6 - sqrt(7)).
3*sqrt(17)/11
Simplify 0 + (-1*sqrt(44)/sqrt(4))**2*-6 + (0 + sqrt(22)/sqrt(2) - (sqrt(88)*2)/sqrt(8)).
-66 - sqrt(11)
Simplify (4*sqrt(208)*-2 + sqrt(208)*-2*-5 + -4 + (sqrt(208) - sqrt(208)*-3)*-1)**2.
64*sqrt(13) + 848
Simplify (sqrt(304)/sqrt(8))/sqrt(2)*5 + 2*sqrt(304)*2.
21*sqrt(19)
Simplify 3 + -2*sqrt(1331) + -4 - (1*(0 + sqrt(1331)) - (sqrt(1331)*-1 + -2)**2).
11*sqrt(11) + 1334
Simplify ((-5 + -3*4*sqrt(85)/sqrt(80) + -4)*-3)**2.
486*sqrt(17) + 2106
Simplify 3 + 1 + 3 + (sqrt(882) + sqrt(882) + -2 + sqrt(882))**2 + -2*(-2 + sqrt(882) - sqrt(882)).
-252*sqrt(2) + 7953
Simplify (sqrt(8) - sqrt(32)/(sqrt(4)*3))/(sqrt(4)*-4*-1)*2.
sqrt(2)/3
Simplify (((sqrt(252)*-2)/sqrt(7) + ((-1*sqrt(252))/sqrt(7) - sqrt(36)))/((sqrt(192) - (sqrt(192)*-3 - sqrt(192)))*-5))**2.
3/625
Simplify (sqrt(228)/sqrt(192) + sqrt(19) + sqrt(19)*-1 + sqrt(19) + -2 + sqrt(228)/sqrt(192) + -4 + 3)**2.
-9*sqrt(19) + 207/4
Simplify ((6*(sqrt(192) - sqrt(192)*-4) - sqrt(192))/sqrt(12))/(sqrt(64)/((sqrt(288) - sqrt(288)*2) + sqrt(288) + sqrt(8))).
29*sqrt(2)
Simplify (sqrt(110) + -1*sqrt(110)*-2 + sqrt(110) - 1*sqrt(110)*-1)/(1*(sqrt(120)*-1 - sqrt(120))/sqrt(12)).
-5*sqrt(11)/2
Simplify (sqrt(2548) + (sqrt(2548) - (2 + sqrt(2548) + -2)) - ((sqrt(2548)*1 - sqrt(2548))*-2 + sqrt(2548)))**2.
0
Simplify (6*(sqrt(15) + (-1*sqrt(90))/sqrt(6))/((sqrt(200)/sqrt(4))/sqrt(10)) + -3)**2.
9
Simplify (2 + sqrt(343)*3*-1*-1)**2.
84*sqrt(7) + 3091
Simplify 1*(1 + ((sqrt(128)*3 - sqrt(128) - sqrt(2)) + -4 + sqrt(2) + (sqrt(2) - sqrt(16)/sqrt(8)))**2).
-128*sqrt(2) + 529
Simplify (1*sqrt(243) - (sqrt(243) + 4 + sqrt(243)))**2.
72*sqrt(3) + 259
Simplify (sqrt(21)/(sqrt(3) + sqrt(48) + sqrt(144)/sqrt(3)) - ((-2*sqrt(70))/sqrt(10) + -4)) + 3.
19*sqrt(7)/9 + 7
Simplify (1 + sqrt(500)*-3 - (2 + sqrt(500) + -5))**2*-2*-1.
-640*sqrt(5) + 16032
Simplify -3*(2 + -6*(5 + (sqrt(54)/sqrt(3) - sqrt(18))) + -1).
87
Simplify (-5*(sqrt(112) + (sqrt(112) - ((-1*sqrt(112) - sqrt(112)) + sqrt(112)))))/(-2*sqrt(256)*-1 + sqrt(256)).
-5*sqrt(7)/4
Simplify (3*sqrt(1539) + 4)**2 - -6*(sqrt(2299) + -1*sqrt(2299)).
216*sqrt(19) + 13867
Simplify sqrt(66)/(sqrt(384)*-1) + (1 + 3*sqrt(275))**2.
239*sqrt(11)/8 + 2476
Simplify 5*1*6*(-1 + sqrt(539) + 0 + 3)**2.
840*sqrt(11) + 16290
Simplify -2 + sqrt(325)*6*6 + (sqrt(1274)*1)
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3048 - 736. Let y = -9149/4 + s. Let t = 11226 + -112361/10. Find the common denominator of y and t.
20
Let a = 26392 + -34230422/1297. Let u = a + -115441/5188. What is the common denominator of 21/5 and u?
20
Let i = -12/43 - 2293/258. Find the common denominator of i and 83/12.
12
Let u(d) be the first derivative of -d**4/4 + 4*d**3/3 + d**2 - 4*d + 3. What is the smallest common multiple of 8 and u(4)?
8
Suppose 5*d - 99 = 1. What is the least common multiple of d and 16?
80
Let n be ((-1926)/705)/3 - -1. Let q = -21049/3760 - n. What is the common denominator of q and -93/16?
16
Suppose -2*p - 6 = 0, 5*p + 21 = 3*a - 0*a. Let r(o) = -4*o + 1. Let y be r(a). Let b = 1 - y. What is the lowest common multiple of 11 and b?
88
Calculate the least common multiple of 27 and 30 - (-4 + -2)*(-2)/4.
27
Suppose -l - 2*j + j + 7 = 0, 5*l = j + 5. What is the smallest common multiple of l and 2?
2
Suppose -6*f - 4*x = -f - 6, 0 = -3*f - x + 5. Suppose -f = 4*g + 6. Find the common denominator of -29/12 and (71/(-6))/(g/(-6)).
12
Let a = 312 + -64. Calculate the smallest common multiple of a and 20.
1240
Let t = -1538/5 + 12099/40. What is the common denominator of t and -151/6?
24
Calculate the common denominator of (-212)/(-192) + 1/3 and -89/2.
16
What is the common denominator of 2198/455 - 6/10 and -76/3?
39
Suppose 0 = -2*g - 0*g - 2*h + 26, -3*h + 47 = 4*g. What is the smallest common multiple of g and 20?
40
Let y(q) = -q. Let k be y(-4). Let w = -1 + k. Calculate the least common multiple of 10 and w.
30
Let h(b) = -b**2 - 6*b + 25. Calculate the smallest common multiple of 24 and h(-8).
72
Let v = 6/41 + -9977/67896. Let k = 3001/828 - v. Find the common denominator of k and -15.
8
Let c(w) = w**3 - 5*w**2 + 5*w - 2. Let t(a) = 4*a - 21. Calculate the smallest common multiple of t(6) and c(4).
6
Let s = -1409/3600 - -1/400. Calculate the common denominator of s and -1/27.
54
What is the smallest common multiple of 8 and -2 + 2 + 1 + 17?
72
Let i = -5 + 7. What is the smallest common multiple of ((-3)/2)/(5/(-10)) and i?
6
Let a(k) = 4*k**2 + k + 1. Let c be a(-1). Let v = 12 - c. What is the smallest common multiple of (5 - 2)*v/6 and 6?
12
Let k(b) = 413*b - 1. Let p be k(1). Let r be (7 + (-138)/18)/((-4)/6). Calculate the common denominator of 101/14 and r/(-12)*p/6.
126
Let b(h) = -h**2 + h + 1. Let u(m) = m**3 - 5*m**2 - 14*m - 12. Let c(i) = -4*b(i) - u(i). What is the lowest common multiple of 8 and c(10)?
8
Let g = 133 + -581/4. Calculate the common denominator of -47/89 and g.
356
Let d(f) = f**2 + 5*f + 4. Let g be d(-3). What is the common denominator of 75/(-4)*1 + g and 58/5?
20
What is the common denominator of -127*2/24 - -4 and -69/4?
12
Suppose 4*l - 20 = -5*x, -2*l = x - 3 - 7. Suppose x = -4*q + 12, 3*p + 3*q = -0*q + 63. Calculate the least common multiple of p and 14.
126
Let x be 5/10 - 814/144. Let p = 71/24 - x. Find the common denominator of p and -12/5.
45
Let b(l) = -2*l**2 - l + 2. Let d be b(-2). Calculate the common denominator of 40/(-2)*(d - -2) and 0 - 1 - (-47)/(-10).
10
Let g(l) = -l**3 - 3*l**2 + 16*l + 2. Calculate the least common multiple of 2 and g(-6).
14
Let k = 59075/22 - 2688. Find the common denominator of k and 37/18.
198
Find the common denominator of -101/20 and 4 + (1785/(-54))/5.
180
Suppose 4*n = -3*c + 196, 5*n + 34 = -2*c + 160. Calculate the smallest common multiple of c and 22.
748
Suppose 5*v = -20, -3*w = 2*w - 3*v - 52. Calculate the smallest common multiple of w and 8.
8
Suppose 0 = -4*n - 16, 3*p - 2*n + 5*n + 9 = 0. Suppose -1 = -z + p. Let s(a) = -a**2 + 5*a + 8. What is the lowest common multiple of s(6) and z?
2
Let k(n) = n - 1. Let c be k(7). Suppose 2 + c = j. What is the common denominator of (-1 - -67)/(j/(-6)) and -33/7?
14
Let v be (65/(-10))/((-2)/(-4)). Let i = -29/2 - v. Find the common denominator of -89/10 and i.
10
Find the common denominator of -87/4 and ((-108)/63)/(44/(-42)).
44
Let y(s) = -s**2 - 3*s + 12. What is the smallest common multiple of 3 and y(-5)?
6
Let v(x) = 3*x + 14. What is the smallest common multiple of v(-4) and 6?
6
Let l(c) = c**3 - 2*c**2 - 2*c - 1. Let d be l(3). Suppose -5 = -5*z + q, -1 = -z - d*q + 3*q. What is the smallest common multiple of z and 11?
11
Let a = 2405/102 + 1705451/510. Let s = a + -3357. Find the common denominator of s and -49/2.
10
Let m = 142 + -122. Calculate the smallest common multiple of 56 and m.
280
Calculate the common denominator of 6/160 - (-4)/10 and (-333)/(-154) - 1*(-12)/(-21).
176
Suppose -4*f - 3 = x + 1, 1 = -f + 4*x. Let d be f/(2 - (-101)/(-50)). Let w = d - 21. Calculate the common denominator of w and 0.
1
Let g = -2225/93 + 70/31. What is the common denominator of 1/5 and g?
15
Suppose -5*m = 2*t + 6 - 28, -55 = -5*t + 5*m. Suppose 4*x + 16 = -4*n, 2*x + n + 2*n = -5. Calculate the smallest common multiple of x + 7 - -1*5 and t.
55
Let r = 7 - -5. Suppose -i - c - 1 = 0, -2*c - 22 = -0*i - 3*i. Let m = 10 + i. Calculate the least common multiple of r and m.
84
Let n(s) = s**3 + 6*s**2 - 2*s - 5. Let d(z) = z**3 + 2*z**2 - z. Let w be d(-3). What is the least common multiple of n(w) and 11?
77
Let c be -4*((-8)/(-4))/(-4). Find the common denominator of -13/3 and -1*(204/(-20) + c).
15
Let w = 16995 - 203807/12. Find the common denominator of 29/20 and w.
60
Suppose 3*k = 4*t + t + 132, 116 = -4*t + 5*k. Let o = 40 + t. Suppose -5*w = -n - 45, -2*w + 2*n + 23 = -3. What is the smallest common multiple of w and o?
16
Let g be (-80033)/36*(15 + -5). Let o = -22237 - g. Let k = -100/29 - 2451/290. Find the common denominator of k and o.
90
Find the common denominator of -38 and 28/7 + (-151)/21.
21
Suppose -3*o - 6 = -5*o, -29 = -g - 3*o. Suppose -3*t - 4*w + 16 = -t, 5*w = 0. Calculate the smallest common multiple of g and t.
40
Let j(v) = 3*v - 2. Let i be j(3). Let s = i - 1. Suppose -b - 5*x = -5*b + 8, 0 = -5*x. What is the least common multiple of b and s?
6
Let j(x) = 16*x**3 - x**2 + 2*x - 1. What is the least common multiple of 2 and j(1)?
16
Let q = -1/6 - -8/3. What is the common denominator of q and 47/11?
22
What is the common denominator of (-1)/7*(-37)/(-1) and (-52)/39 + 0 + 753/18?
14
Let a = -16 - -22. Let z(s) = -5*s + 9. Let c be z(a). Let t = c + 32. What is the least common multiple of t and 4?
44
Let k = -37206257/3043272 - -15/59672. Let x = k - -18/17. Calculate the common denominator of 15/7 and x.
42
What is the lowest common multiple of 10 and (18/(-8))/(30/(-80))?
30
Let x = -2499431/238 + 10502. Let i = x - -13/34. Find the common denominator of i and 85/8.
56
Suppose -3*d + 12 = 5*w, -d - 11 = -5*d - 5*w. Let i = -1253/60 - -127/12. What is the common denominator of i and (5/(-2))/(d/(-13))?
10
Suppose -m + 0*m = -3. Suppose -2*n = -3*d - n + 49, 0 = m*n + 3. Find the common denominator of (46/d)/((-6)/4) and 59/16.
48
Let t = 97868875177527791/255060 - 383709225978. Let b = 2/12753 + t. Find the common denominator of -17/18 and b.
180
Let a = -483/5 + 3593/30. What is the common denominator of a and -73/20?
60
Calculate the lowest common multiple of 7 - (3 - (-5)/(-1)) and 5.
45
Suppose w + 3*w + 8 = -2*g, 0 = g + w. Let p = -1 - -4. Let x = g + p. Calculate the smallest common multiple of 7 and x.
7
Find the common denominator of 11/10 and (-1887)/(-378) - 6/(-21).
90
Let z = -3 - -1. Find the common denominator of 146/70 + (-2)/7 and (-669)/110 + z/(-11).
10
Let d = -9 + 15. Suppose -5*l - 50 = 5*f, 2*f + 2 = 3*l - 3. Let p = f + 15. What is the least common multiple of d and p?
24
What is the smallest common multiple of 18 and (1 - (-2)/(-4))*-16*-3?
72
Let p be (-14143974)/280 - (-1)/(-4). Let m = -350456/7 - p. Let w = m - 446. What is the common denominator of 47/10 and w?
10
Let d be -5*(27/(-5) - -2). Calculate the common denominator of 7/8 and (d/(-16))/(9/(-90)).
8
Let o(h) = -760*h**3 + 2*h**2 - 1. Let r be o(-2). Let m = -66901/11 + r. Let c = -773 + 4577/6. What is the common denominator of c and m?
66
Suppose 5*x = 4*p + 3, 3*p = -p - 2*x + 18. Suppose p*y - 20 = 10. Let h = 11 + -5. What is the least common multiple of y and h?
30
Let q be ((-143)/165)/(4/6). Let b = 7/10 + q. What is the common denominator of 65/9 and b?
45
Suppose -8*x + 32 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
89390809 and 1.
-389390808
Subtract 1889057 from 106.
-1888951
Subtract 4 from -0.1209886236.
-4.1209886236
Add -128 and 6687.
6559
Sum -90.37 and 0.45921.
-89.91079
Subtract -1078 from 63621.
64699
What is -5 minus 2314770?
-2314775
What is -0.106 + 269853338?
269853337.894
What is 4.52925 take away -0.115?
4.64425
What is -32500096 - -5.3?
-32500090.7
Add -1644 and -12.415.
-1656.415
Work out 49686 - 199.
49487
Calculate -5 + -3059326.
-3059331
Sum 162862 and -26.
162836
What is the difference between -988623 and -256?
988367
What is 2.24 less than 65602.259?
65600.019
Add together 3 and -0.010054398.
2.989945602
Add together -0.0614 and -4669589.
-4669589.0614
Calculate 0 + -1511129087.
-1511129087
3706 - 0.1901027
3705.8098973
What is 4.756 minus 97859?
-97854.244
What is -4 - -17702059?
17702055
Total of -0.5 and -2567.804435.
-2568.304435
What is 155210.7 less than -685?
-155895.7
-14+6490749
6490735
What is 6589.3255 - 587?
6002.3255
What is -2.489 - -2491331?
2491328.511
What is the distance between 0.25 and 1347.96?
1347.71
What is the difference between 21.25945 and -31494?
31515.25945
What is 8110380 take away 49?
8110331
What is -82111 - 0.6068?
-82111.6068
Work out -0.21 - 1246021.
-1246021.21
What is 4543 plus 578276?
582819
What is -6442858 + -7?
-6442865
Calculate -29.62 - -527949.
527919.38
Put together 6359 and 92.5.
6451.5
What is the difference between 0.954 and -599294?
599294.954
Sum 1319 and 74681904.
74683223
What is -1190 take away -166181.93?
164991.93
Add together 175.11 and 0.061463.
175.171463
Calculate -1.405 - 50.41.
-51.815
What is the distance between -1.7 and 0.567831?
2.267831
Sum -9.4 and -124506.
-124515.4
Work out -321506.8 - 0.269.
-321507.069
What is 7.676 less than -11327?
-11334.676
What is 30 plus 58.8391?
88.8391
-6.7662986+257
250.2337014
-51.8+-44670
-44721.8
Add -47546286 and -2.
-47546288
Add together 4049934040 and 1.9.
4049934041.9
Sum 100695.9 and -49.
100646.9
What is 3.77732 plus -751.19?
-747.41268
Work out 2563 + 0.0849817.
2563.0849817
Calculate 1551.28878 - 40.
1511.28878
Work out -215.5075 - 1.
-216.5075
Subtract 833663134 from 5.
-833663129
What is -70 take away 237.339?
-307.339
What is the distance between -72130 and -2434?
69696
What is -49.258 less than 697?
746.258
Work out 0.4 - 5556.872.
-5556.472
Put together -150008.3704 and 0.5.
-150007.8704
Put together 0.00766 and -10.35191.
-10.34425
What is 75212122 - -0.3?
75212122.3
Put together 1490 and -546.
944
Total of 1521.46 and -1137.
384.46
Calculate 1269.58 + -1833.
-563.42
Work out -0.051 + -7445861.
-7445861.051
What is -521.3 take away -169530?
169008.7
Sum -1 and -2848.083471.
-2849.083471
Work out 68116 + -89.9178.
68026.0822
Put together -0.0791 and 0.1218362.
0.0427362
1.181505 + -36563
-36561.818495
Put together 72.21 and 28350.
28422.21
Sum -402843.8 and -81.
-402924.8
Work out -2.5 + 34599946.
34599943.5
Put together -20.096975 and -0.088.
-20.184975
Subtract 5613447 from -1.
-5613448
What is -979814 minus -4?
-979810
Work out -9035324 - -497.
-9034827
What is 4.9156 minus -0.3396?
5.2552
What is the difference between 20524971613 and -3?
20524971616
Calculate -0.5 + -2800500851.
-2800500851.5
What is 18137 minus 0.43?
18136.57
Add 6963733 and 21.
6963754
Put together -315.74 and 4893.
4577.26
What is -2717.13 less than 133?
2850.13
Work out 77 - 2263558.
-2263481
Calculate 61.9 + 36482888.
36482949.9
What is 6473726 + 21?
6473747
What is 0.451 + 0.0046367?
0.4556367
366.04 - 2428
-2061.96
What is 10 + 8410304?
8410314
Calculate -1.692 + -2639.6852.
-2641.3772
What is the distance between -45108443 and 1?
45108444
What is -0.3516 take away 108854?
-108854.3516
Work out 84.8115 - -86.
170.8115
Add 3084619 and -0.006.
3084618.994
Calculate -1766170 - 2601.
-1768771
Sum 2058.025 and 90.3.
2148.325
What is -629.2 plus -40656?
-41285.2
-0.027482 + 12.87
12.842518
Total of -17.78511111 and 0.1.
-17.68511111
Work out -0.0973 + -260740.
-260740.0973
Add -169.3858 and 0.7.
-168.6858
Total of 107637486 and -19.
107637467
Total of 47345983916 and 1.
47345983917
What is -0.9 + -11061.053138?
-11061.953138
Work out -3.7 + -3160.58.
-3164.28
What is -8.618 - -905?
896.382
What is -12 less than 73.6263?
85.6263
What is 0.5 + 25629107?
25629107.5
Calculate -199030163 - -137.
-199030026
-182.4 + -9099000
-9099182.4
Work out 484.618547 - -1.4.
486.018547
Work out -6505 + 4.637.
-6500.363
3114348+49
3114397
What is -0.4 take away 8516.5967?
-8516.9967
5.525871+-14
-8.474129
What is the difference between 13482355 and 0?
13482355
Calculate 2662918856 + 0.7.
2662918856.7
Add -28.479 and 28.34.
-0.139
Add together 34829614 and 0.4.
34829614.4
3793 + 0.03881304
3793.03881304
Sum -53326.575 and 0.1621.
-53326.4129
What is 184.63 take away -7295?
7479.63
-1384123 - 26
-1384149
What is 384.8417 less than -0.376?
-385.2177
What is 0.40653653 minus 0.006?
0.40053653
Subtract 1773.9246 from 0.2.
-1773.7246
Calculate -0.26708309 - 89.
-89.26708309
-5+-118333440
-118333445
Add 703 and -167831.
-167128
What is 282212168 take away 1.6?
282212166.4
What is -2579970 minus -0.54?
-2579969.46
What is -102830.9 plus 0.67?
-102830.23
What is 3284306 take away 696?
3283610
What is -0.14 plus -34932.04?
-34932.18
What is the distance between 82817355 and 14?
82817341
What is 3 - 9177.96617?
-9174.96617
What is 7.4 less than 1472.732?
1465.332
Add together 0.4 and -17.0569.
-16.6569
Total of 0.399128495 and 3.
3.399128495
Subtract -5 from 1.23374316.
6.23374316
674460+4.92
674464.92
What is 0 less than -0.026508285862?
-0.026508285862
-858.46 + -0.203
-858.663
Calculate -10626492586 - 3.
-10626492589
Total of -3021.929 and 5.
-3016.929
What is 31.62066 plus 634.4?
666.02066
Add together -3.1378161 and -2.
-5.1378161
Add 2244.188 and -14.
2230.188
Calculate 1554 - -0.0964606.
1554.0964606
What is 2567917 minus 25831?
2542086
Calculate -609174 + 0.12.
-609173.88
Calculate 0.134863 - -0.383.
0.517863
What is 0 plus -28.7424522?
-28.7424522
Calculate -16039 + 0.0113.
-16038.9887
Subtract -8.243009 from 0.03.
8.273009
Work out 224 + 103.8372.
327.8372
567.37 - 17.545
549.825
Work out 23222 - 102.67.
23119.33
Work out -559384 - 2.271.
-559386.271
What is the distance between 7848259.13 and -0.35?
7848259.48
Work out -12490 + -2932294.
-2944784
20606+-4.43
20601.57
What is the distance between 7.9 and -438808?
438815.9
-3530670 + -988
-3531658
What is the difference between -4 and 26630711?
26630715
Put together -121 and 446.1069.
325.1069
Work out 287674 - 1.62.
287672.38
What is 67155 less than 2200?
-64955
Calculate 245 + 5.91837.
250.91837
Calculate 184 - -30919433.
30919617
What is 272 take away 0.46521488?
271.53478512
What is 10787 + 242416?
253203
Sum -0.377 and 43892.
43891.623
Calculate -322 - -1417248.
1416926
What is -4 take away -729.59933?
725.59933
What is 4175180 less than -1665?
-4176845
What is -0.02 minus 1.7111978?
-1.7311978
What is -1031337.78 minus 0.1?
-1031337.88
Total of 2 and 2473.3035.
2475.3035
Work out -471.48 - 6.63.
-478.11
What is 11 - 252086698?
-252086687
What is -13 take away 50.178436?
-63.178436
-1.52 - 57606734
-57606735.52
Subtract -265231666.2 from 0.2.
265231666.4
What is 0.00536261 - -2?
2.00536261
1.627+-22599
-22597.373
Sum 0.02 and -383901716.
-383901715.98
Work out -917632 - 3.
-917635
What is 2.354 + -88841863?
-88841860.646
Calculate 0.41 - -275320.135.
275320.545
What is 5128758 plus 0.051?
5128758.051
Add -275.74 and 3024.
2748.26
What is 8.1 take away 56.366?
-48.266
Subtract -0.5 from 13098402.62.
13098403.12
Work out -2038575 + -0.042.
-2038575.042
Total of 0.16555 and 29.253.
29.41855
Add -2360451 and 822.
-2359629
What is 1409.57 - 0.1237?
1409.4463
Work out -23866.36 - -7.
-23859.36
What is the difference between 144 and 3.63706?
140.36294
What is 6 take away 456628.51?
-456622.51
Subtract 388 from -6.4015.
-394.4015
Calculate -118055.013 + -21.
-118076.013
What is -349 take away -0.15011?
-348.84989
-28629.9+988
-27641.9
Calculate -100688.2 - -0.3.
-100687.9
What is 450041271 less than 0?
-450041271
Work out 1 + -15420411.5.
-15420410.5
What is the difference between -129.68 and 91236?
91365.68
What is -20241254 take away -0.4?
-20241253.6
Work out 1372055.09 + 10.
1372065.09
Sum -186 and -14516.
-14702
|
{
"pile_set_name": "DM Mathematics"
}
|
-o
Collect the terms in -133*h + 350*h + 1334*h + 820*h.
2371*h
Collect the terms in -23*h + 23*h - 203*h**2 + 479*h**2 - 220*h**2.
56*h**2
Collect the terms in 0*g - 3*g - g + 65*g**3 - 36*g**3.
29*g**3 - 4*g
Collect the terms in -16612*f + 33299*f - 16686*f.
f
Collect the terms in -126*v**2 - 137*v**2 + 539*v**2 - 139*v**2 - 139*v**2.
-2*v**2
Collect the terms in 244*s - 244*s - 297*s**3.
-297*s**3
Collect the terms in 14*r + 213*r**2 - 656*r**2 + 216*r**2 - 14*r + 218*r**2.
-9*r**2
Collect the terms in 3137*o**2 + 8*o - 1573*o**2 - 1566*o**2 + 8*o - 16*o.
-2*o**2
Collect the terms in -764*o + 1209 - 1209 - 1099*o.
-1863*o
Collect the terms in -3*m**2 + 4*m**2 + 763*m**3 + 725*m**3 - 1521*m**3.
-33*m**3 + m**2
Collect the terms in 188*t - 562*t + 1130*t**2 + 184*t + 190*t.
1130*t**2
Collect the terms in -14 - 23 + l**2 + 9 + 4.
l**2 - 24
Collect the terms in 2974*m + m**3 + 0*m**3 + 1 + 5*m**3 - 5*m**3.
m**3 + 2974*m + 1
Collect the terms in -3531*a - 3644*a + 7150*a.
-25*a
Collect the terms in -676*w**3 - 6434*w + 1352*w**3 - 680*w**3 + 6434*w.
-4*w**3
Collect the terms in -96*g + 5*g**2 - 3*g**2 - 37*g**3 + 28*g**3.
-9*g**3 + 2*g**2 - 96*g
Collect the terms in -4*i + 3*i + 0*i + 57*i**2 + 2*i - 37*i**2.
20*i**2 + i
Collect the terms in 2 - 88*i**2 + 8*i**2 - 170*i**2.
-250*i**2 + 2
Collect the terms in -8098*g + 24303*g - 8109*g - 8115*g.
-19*g
Collect the terms in 39*o + 92*o + 30*o - 45*o.
116*o
Collect the terms in 7992*s - 2669*s - 2665*s - 2671*s.
-13*s
Collect the terms in -5*h**3 + 5110039*h**2 - 5110039*h**2.
-5*h**3
Collect the terms in -4 - 15*z**2 + 6*z**2 - 75*z**3 + 11*z**2.
-75*z**3 + 2*z**2 - 4
Collect the terms in -8*w**3 + 42*w**3 + 31*w**3.
65*w**3
Collect the terms in -341406238*h + 341406238*h - 14*h**2.
-14*h**2
Collect the terms in 0*k**2 + 2*k**2 - 4*k**2 + k**2 + 244.
-k**2 + 244
Collect the terms in -597*b**2 + 3 - 3 - 1646*b**2.
-2243*b**2
Collect the terms in 0*i + 0*i - 2195*i**3 - 779*i**3.
-2974*i**3
Collect the terms in -5*u**2 + 7*u**2 - 4*u**2 + 4*u**2 + 0*u**2 - u**2.
u**2
Collect the terms in 4675*d + 1260*d**2 - 4675*d - 643*d**2 - 614*d**2.
3*d**2
Collect the terms in -7 + 7 + 13403*u.
13403*u
Collect the terms in 2467*f + 2464*f - 4937*f.
-6*f
Collect the terms in -r**3 + 5985528*r - 5985528*r.
-r**3
Collect the terms in -1466*x - 1479*x - 1478*x + 4445*x.
22*x
Collect the terms in 226*r**3 + 37*r**3 - 13*r**3.
250*r**3
Collect the terms in 2997 + 3*q - 6*q + 5546.
-3*q + 8543
Collect the terms in -189*k - 211*k + 427*k.
27*k
Collect the terms in -244376 + 8*c**2 + 244376.
8*c**2
Collect the terms in 62558 + t**2 + 62655 - 125213.
t**2
Collect the terms in -1788*y**2 - 1583*y**2 + 3383*y**2.
12*y**2
Collect the terms in 1000*c**3 + 5224*c**3 - 1376*c**3 - 1611 + 1611.
4848*c**3
Collect the terms in -11*x + 5*x**2 - 7*x - x - 3*x**2.
2*x**2 - 19*x
Collect the terms in -257*s**2 + 3183*s**2 - 182*s**2.
2744*s**2
Collect the terms in 7*d - 723*d**3 + 508*d**3 - 13*d + 6*d.
-215*d**3
Collect the terms in 40*h + 25*h + 16*h + 58*h.
139*h
Collect the terms in 98*s**3 - 104*s**3 - 5 + 5.
-6*s**3
Collect the terms in 13 - 2*z + 0*z + 4*z.
2*z + 13
Collect the terms in -357*c + 2179*c + 932*c + 864*c.
3618*c
Collect the terms in -1107*d - 1 + 1107*d + 8*d**2.
8*d**2 - 1
Collect the terms in a**2 - 20*a**2 - 70*a**2 - 9*a**2.
-98*a**2
Collect the terms in 2*a**2 + 4093*a**3 + 3956*a**3 - 8174*a**3.
-125*a**3 + 2*a**2
Collect the terms in 0*f**2 - 6*f + 11*f**2 - 4*f**2 + 6*f.
7*f**2
Collect the terms in -383 + 1129 - 11*g**2 - 365 - 381 - 7*g**2.
-18*g**2
Collect the terms in -28 + 2*j**2 + j + 11*j + j**2 - 2*j**2.
j**2 + 12*j - 28
Collect the terms in -277*j**3 - 35*j**2 + 35*j**2 + 196*j**3.
-81*j**3
Collect the terms in 126 + 20*s**2 - 39 - 87.
20*s**2
Collect the terms in -20*c**3 - 20*c**3 - 15*c**3 + 52*c**3.
-3*c**3
Collect the terms in -5*r - 1327*r**2 + 5*r + 1733*r**2.
406*r**2
Collect the terms in 9*i + 465 - 465 - 5*i.
4*i
Collect the terms in 169*b**2 + 150*b**2 + 162*b**2 - 483*b**2.
-2*b**2
Collect the terms in 82*g + 33 - 46 + 13.
82*g
Collect the terms in 68051178*i - 68051178*i + 20*i**3.
20*i**3
Collect the terms in 959*r**2 + 354*r**2 - 286*r**2.
1027*r**2
Collect the terms in 356263*l - 356263*l + 4 - 4 - 5*l**2.
-5*l**2
Collect the terms in 602*s**2 + 667*s**2 - 1930*s**2 + 559*s**2.
-102*s**2
Collect the terms in 9*x - 360*x**2 + 412*x**2 - 9*x.
52*x**2
Collect the terms in -18*u + 18*u - 602*u**2.
-602*u**2
Collect the terms in 15*u**2 + 4 + 6 - 19 - 16*u**2 + 7*u**2.
6*u**2 - 9
Collect the terms in -42 - 19321*u**2 + 96 + 19320*u**2.
-u**2 + 54
Collect the terms in 782*l**3 + 1085*l**3 + 1104*l**3 - 362*l**3.
2609*l**3
Collect the terms in -15053*n + 15439*n + 23923*n + 16395*n - 1.
40704*n - 1
Collect the terms in 5*a**2 - 5*a**2 - 2496*a**3 - 16*a**3.
-2512*a**3
Collect the terms in -518126 + 112*u + 518126.
112*u
Collect the terms in 13 - 24*n + 93*n**2 + 9*n - 13 - 91*n**2.
2*n**2 - 15*n
Collect the terms in -1812*w**3 + 533*w**3 + 748*w**3 - 3252*w**3.
-3783*w**3
Collect the terms in 17798*a + 657 - 657.
17798*a
Collect the terms in -27919 + 762*l - 745*l + 27919.
17*l
Collect the terms in 8932*w - 2*w**3 - 8932*w.
-2*w**3
Collect the terms in -70*q**2 + 224*q**3 - 670*q**3 + 223*q**3 + 225*q**3.
2*q**3 - 70*q**2
Collect the terms in -15*w**3 - 11 + 10*w**3 - 13*w**3 + 12.
-18*w**3 + 1
Collect the terms in -2645*t**3 + 10582*t**3 - 2647*t**3 - 2642*t**3 - 2645*t**3.
3*t**3
Collect the terms in -74*x - 3 - 176*x - 53*x.
-303*x - 3
Collect the terms in -4*p**3 - 31*p**3 - 9*p**3 + p**3 + 8*p**3.
-35*p**3
Collect the terms in 2*p**2 + 904502*p + 82952 - 904502*p - 82952.
2*p**2
Collect the terms in 0 + 4*j + 0*j - 44*j**3 + 39*j**3 + 0.
-5*j**3 + 4*j
Collect the terms in -12*p**3 + 591*p**2 - 591*p**2 + 13.
-12*p**3 + 13
Collect the terms in -54522342 + 20*p**2 + 54522342.
20*p**2
Collect the terms in -4*x**3 + 10*x**3 + 30*x + 51*x**3 - 30*x.
57*x**3
Collect the terms in 58*y + 1817*y**3 - 31*y - 27*y.
1817*y**3
Collect the terms in -23 - 49 - 8 - 3*f**2 + 78.
-3*f**2 - 2
Collect the terms in -l**2 - 6753949 + 6753949.
-l**2
Collect the terms in -682*x**2 - 1202*x**2 + 52*x**2 - 962*x**2.
-2794*x**2
Collect the terms in m**2 + 341*m - 708*m - 1 + 367*m.
m**2 - 1
Collect the terms in 896*c - 307*c - 603*c.
-14*c
Collect the terms in 132 + 98 - 230 + n**3 - 5*n**3.
-4*n**3
Collect the terms in 2*h**3 + 388*h - 81*h + 46*h.
2*h**3 + 353*h
Collect the terms in 9685 - b - 9685.
-b
Collect the terms in -13 + 140*y**2 - 59*y**2 - 9 + 22.
81*y**2
Collect the terms in -16990*o + 8755*o + 8882*o.
647*o
Collect the terms in -5*g**2 - 7453405 + 3726708 + 3726697.
-5*g**2
Collect the terms in 13796*w**3 + 5 - 5 - 40592*w**3.
-26796*w**3
Collect the terms in -17*s - 49*s + 5*s - 65*s - 13*s.
-139*s
Collect the terms in -1 - 24*j + 5 + 47*j - 18*j.
5*j + 4
Collect the terms in -78*h**2 + 653 - 221 - 215 - 214.
-78*h**2 + 3
Collect the terms in -40*c**3 + 5*c - 76*c**3 + 83*c**3 - 23*c**3 + 6*c**2.
-56*c**3 + 6*c**2 + 5*c
Collect the terms in -2*o**2 + 2*o**2 + 61786*o**3 - 61809*o**3.
-23*o**3
Collect the terms in -611*y**3 + 2609*y**3 + 720 - 720.
1998*y**3
Collect the terms in 2*w**2 + 5*w**2 + 0*w**2 + 14*w**2 + 9*w**2.
30*w**2
Collect the terms in -288 - 159979*p + 288.
-159979*p
Collect the terms in -4 - 4 - 2528*o**2 + 6*o**3 + 8.
6*o**3 - 2528*o**2
Collect the terms in 10407 + 5*w - 8*w + 0*w.
-3*w + 10407
Collect the terms in 26*z - 47*z - 149*z**2 + 24*z.
-149*z**2 + 3*z
Collect the terms in -3642*j**3 + 1702*j**3 + 1969*j**3.
29*j**3
Collect the terms in -3*f**2 - 678*f - 44 + 93 - 49.
-3*f**2 - 678*f
Collect the terms in 28 + a**2 + 7 - 6 - 3*a**2.
-2*a**2 + 29
Collect the terms in -78419 - 78410 + 156829 + 12*c.
12*c
Collect the terms in -255 - 449 + 2*z - 89.
2*z - 793
Collect the terms in 2058*t + 2065*t - 18 - 4119*t.
4*t - 18
Collect the terms in 63613209 + 0*r - 63613209 - 2*r + 0*r.
-2*r
Collect the terms in -524 - 8*k**2 + 1028 - 504.
-8*k**2
Collect the terms in -13629*u**3 - 13662*u**3 + 27294*u**3.
3*u**3
Collect the terms in 138270*g**2 + 24*g - 24*g - 138277*g**2.
-7*g**2
Collect the terms in 241*f - 138*f + 3*f**3 - 103*f + 12*f**3.
15*f**3
Collect the terms in -895*f*
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let o(s) be the third derivative of s**5/2 - 5*s**3/6 + 565*s**2. What is w(o(k))?
60*k**2 - 10
Let u(q) be the third derivative of -q**4/8 + q**3/2 + 2*q**2. Let l(b) = -3*b + 4. Let d(z) = 3*l(z) - 4*u(z). Let w(v) = 10*v. Give w(d(t)).
30*t
Let j(x) = 249*x**2. Let p(k) = -6*k + 1. Give p(j(m)).
-1494*m**2 + 1
Let b(m) = -12057*m**2 + 6025*m**2 + 6029*m**2. Let i(t) = 110*t**2. Calculate b(i(o)).
-36300*o**4
Let v(l) be the third derivative of -l**5/20 - 2*l**2 + 18*l. Let b(m) = 7*m. Give v(b(g)).
-147*g**2
Let d(o) = 1170*o**2 + 1175*o**2 - 2353*o**2. Let c(h) = -h**2 - 4*h**2 - h**2 + 3*h**2. Determine d(c(m)).
-72*m**4
Let h(x) = -132*x - 132*x + 269*x. Let v(q) = -9*q. Calculate v(h(l)).
-45*l
Let k(s) = 14*s**2. Let a(q) = -4245*q. Calculate a(k(p)).
-59430*p**2
Let l(j) = 25*j + 24*j + 32*j - 77*j - 23*j**2. Let h(p) = -p**2. Calculate h(l(s)).
-529*s**4 + 184*s**3 - 16*s**2
Let h(d) be the third derivative of -d**5/15 + 58*d**2. Let j(p) = 2*p + 9 - 9. Calculate j(h(n)).
-8*n**2
Let j(d) = -2*d. Let o(g) = 55 - 5*g - 104 - 6*g + 49. Calculate j(o(u)).
22*u
Let p(f) = -f. Let r be 1 - ((-8)/(-10) - 4/(-20)). Let j(o) be the third derivative of 1/8*o**4 + 0 + r*o - 8*o**2 + 0*o**3. Give j(p(m)).
-3*m
Let m(z) = 2*z**2 - 11*z - 5. Let s be m(12). Let q(b) = -1 + 153*b + 1 - s*b. Let v(d) = -28*d. Determine q(v(n)).
-56*n
Let u(m) = 8*m + 1. Let c(a) = 41*a + 5. Let b(z) = -c(z) + 5*u(z). Let j(d) = 549*d**2 - 1. Determine j(b(q)).
549*q**2 - 1
Suppose -l = 3, 3*r = -2*r - 2*l + 4. Let p(s) = -s**r + 2015 - 2015. Let z(o) = o + 4. Let i(m) = 10*m + 45. Let h(q) = -4*i(q) + 45*z(q). Give h(p(n)).
-5*n**2
Let r(s) = -2*s. Let m(i) be the first derivative of 0*i - 9 + 2/3*i**3 + 0*i**2. Give r(m(p)).
-4*p**2
Let t(l) = -6*l. Let a be 15/20 + 17/4. Let y(m) = 15*m - a*m - 7*m. Calculate t(y(x)).
-18*x
Let z(g) = -g + 16. Let r(y) = 2*y**2 + 2*y + 4. Let c(x) = -x - 2. Let o(u) = -2*c(u) - r(u). Determine o(z(m)).
-2*m**2 + 64*m - 512
Let c(w) be the second derivative of w**2 - 5*w. Let z(y) = y - 11. Let q(h) = 11*c(h) + 2*z(h). Let j(x) = x. What is j(q(b))?
2*b
Let l(r) be the third derivative of r**4/3 - 164*r**2 + 2. Let d(w) = -14*w**2. What is d(l(i))?
-896*i**2
Let a(h) = 3*h**2. Let d(f) be the second derivative of f**4/4 - 5*f**3 - 324*f. Determine a(d(o)).
27*o**4 - 540*o**3 + 2700*o**2
Let p(b) = b. Let j(l) = 87571*l. Give j(p(n)).
87571*n
Let g(i) = -i. Let n be g(-3). Let l = n + 7. Let z(q) = 8 + 7 + l*q**2 - 15. Let c(b) = b. Calculate z(c(m)).
10*m**2
Let u(m) = 1. Let q(w) = -w + 2. Suppose 2*y = 5*x - 30, 5*x - 6*y = -2*y + 30. Let z(n) = x*u(n) - 3*q(n). Let j(i) = 7*i. Determine z(j(k)).
21*k
Let m(v) = -3*v - 2. Let z(o) = o**2 + 1396*o + 1. What is m(z(u))?
-3*u**2 - 4188*u - 5
Let g(o) = 216*o**2 - 139*o. Let h(x) = -8*x. Determine g(h(v)).
13824*v**2 + 1112*v
Let c(j) = -3*j**2. Let x(v) = v. Let i be 31/4 - (-1)/4 - 3. Let w(f) be the second derivative of f**3/6 + f. Let h(o) = i*w(o) - 4*x(o). Give h(c(t)).
-3*t**2
Let j(u) = 11*u**2 + 2*u. Let r(n) = -952*n**2 - 1. Calculate j(r(c)).
9969344*c**4 + 19040*c**2 + 9
Let j(o) = -2*o. Let q(d) = 82652*d + 9. What is j(q(b))?
-165304*b - 18
Let f(l) be the third derivative of 0*l**3 + 0 - 5/24*l**4 - l**2 - 5*l. Let a(b) = 4*b. Determine a(f(p)).
-20*p
Let n(t) = -t**2. Let v(q) = q - 3. Suppose 6 = 5*u - 19. Let o be v(u). Let x(b) = 5*b**o + 4*b**2 - 6*b**2. Determine x(n(w)).
3*w**4
Let s(i) = -2*i**2 + 1 + i**2 - 1. Let u(h) = 11*h**2 - 6. Let f(b) = 22*b**2 - 11. Let y(g) = -6*f(g) + 11*u(g). What is y(s(l))?
-11*l**4
Let l = -12 - -15. Let m(t) = l*t**2 + 8*t**2 + 4*t**2 - 25*t**2. Let h(b) = -4*b. Determine h(m(y)).
40*y**2
Let k(w) = -22 + 24 + 22*w - 2. Let d(r) = 6*r**2. Determine d(k(q)).
2904*q**2
Let k(p) = -7*p**2. Let o = -25 - -12. Let l = o + 18. Let u(a) = 0*a - l*a + 3*a. Give k(u(v)).
-28*v**2
Let r(i) = -212*i - 2. Let j(l) = -8*l**2 + 6*l. Determine j(r(h)).
-359552*h**2 - 8056*h - 44
Let v(x) = 4*x. Let i = -6 + 8. Let t(b) = -5*b + 4*b + i*b - 3*b. Give v(t(d)).
-8*d
Let p(g) be the third derivative of 0*g + 5/8*g**4 + 0*g**3 - 3*g**2 + 0. Let q(y) be the first derivative of -y**2 - 9. Determine q(p(f)).
-30*f
Let p(a) = 5 + 16*a**2 - 5. Let w(s) be the first derivative of 1/2*s**2 - 7 + 0*s. Determine p(w(o)).
16*o**2
Let s(z) = -8*z. Let i(j) be the first derivative of -11*j**2 - 67. What is s(i(y))?
176*y
Let i(u) = 2*u**2. Let k(r) be the second derivative of 13*r**6/180 + r**3/6 + 4*r. Let o(a) be the second derivative of k(a). What is o(i(g))?
104*g**4
Let b(n) = 2*n**2. Let g(t) = 32656*t. What is b(g(z))?
2132828672*z**2
Let j(z) = z**2. Let x(b) be the third derivative of 209*b**4/4 - 687*b**2. What is j(x(k))?
1572516*k**2
Let i(t) = 2*t**2. Let l(n) = -100 + 9*n + 5*n + 94 - 12*n. Determine i(l(w)).
8*w**2 - 48*w + 72
Let o(d) = -148*d**2. Let q(y) = -10*y**2 - 47*y. What is q(o(f))?
-219040*f**4 + 6956*f**2
Let x(w) = -3*w**2 + 4*w. Suppose 140 = -g - 3*g. Let k(n) = 28*n**2 - 35*n. Let y(j) = g*x(j) - 4*k(j). Let l(i) = 3*i**2. Give y(l(d)).
-63*d**4
Let d(z) = -20914*z + 45. Let a(m) = -2*m. Calculate d(a(l)).
41828*l + 45
Let h(b) = 186*b - 4. Let a(z) = 7*z - 28. Calculate a(h(c)).
1302*c - 56
Let l(r) = -1260*r + 2524*r - 1258*r. Let h(g) = -35*g**2. Calculate l(h(d)).
-210*d**2
Let g(m) = 4*m**2 + 31*m + 9. Let f(k) = 20*k. Determine f(g(j)).
80*j**2 + 620*j + 180
Let r(y) be the second derivative of y**4/4 + 22*y**2 + y + 208. Let c(d) = -5*d**2. Determine c(r(p)).
-45*p**4 - 1320*p**2 - 9680
Let v(m) = 35*m**2. Let i(o) = -7215*o**2. Determine v(i(x)).
1821967875*x**4
Let i(m) = -6*m**2 + 14*m - 7. Let y(s) = -s**2 + 2*s - 1. Let r(l) = -5*i(l) + 35*y(l). Let p(d) = 14*d. Determine p(r(w)).
-70*w**2
Let v(h) = 692887*h. Let q(p) = p. What is v(q(k))?
692887*k
Let b(d) = 2*d. Let u(q) = -811*q**2 + 3*q - 6. Let o(i) = -813*i**2 + 4*i - 8. Let s(g) = -3*o(g) + 4*u(g). Calculate s(b(z)).
-3220*z**2
Let i(l) be the second derivative of 5*l**4/12 + 46*l. Let k(a) = -22*a. Give k(i(j)).
-110*j**2
Let u(t) = -t - 146. Let c(r) = -r**2. Give u(c(a)).
a**2 - 146
Let z(p) = p - 2. Let u(v) = -3*v + 14 + 3 - 12. Let r(g) = -4*u(g) - 10*z(g). Let b(i) be the first derivative of -2*i**3 + 1. Give b(r(h)).
-24*h**2
Let t(z) = 2*z**2. Let q = 12 - -8. Let m be q - (-2 - (-12)/3). Let s(x) = -5*x + m - 18. What is s(t(c))?
-10*c**2
Let t(g) = g**2. Let y(k) = -3 - 31*k**2 + 29*k**2 - 4. Give y(t(d)).
-2*d**4 - 7
Let v(t) = -96*t**2. Let y(l) be the second derivative of l**4/12 + l + 15. Calculate y(v(r)).
9216*r**4
Let f = 6 - 2. Let d(v) = 1 - v - 5 + f. Let s(j) = -7*j**2 - 4*j - 2. Let w(n) = -7*n**2 - 6*n - 3. Let o(q) = -3*s(q) + 2*w(q). Determine d(o(b)).
-7*b**2
Let t(y) = -y - 4. Let q(r) = -1. Let l(g) = 4*q(g) - t(g). Let f(o) be the second derivative of 13*o**3/6 - 41*o + 1. What is l(f(p))?
13*p
Let y(x) = -65*x**2 - 23 + 23 + 64*x**2. Let a(w) = 958*w. Give y(a(i)).
-917764*i**2
Let m(a) be the second derivative of a**3/3 + 2*a. Let r(g) = -9*g + 6*g + 12*g. Give m(r(q)).
18*q
Let u(s) = -12*s + 3. Suppose 2*t + 8 = 4*t + 4*g, 0 = 5*t - 2*g - 8. Let i(w) = -11*w + 2. Let p(b) = t*u(b) - 3*i(b). Let q(k) = k. Determine p(q(d)).
9*d
Suppose 0 = 12*t - 4*t - 128. Let p(j) = -11*j - t*j + 22*j. Let n(b) = 2*b**2. Determine n(p(w)).
50*w**2
Let x(w) = -3*w. Let s = 233 + -124. Let j(o) = 50*o - s*o + 58*o. Determine j(x(m)).
3*m
Let j(r) = r. Suppose 0 = -v - 2 + 3. Suppose -2*w + 3*s - 3 = 0, 2 = -w + 3*s - v. Let x(z) = 2*z**2 + 5*z - 5*z + w*z. What is x(j(m))?
2*m**2
Let s(w) = -14*w**2 + 4*w - 1629. Let a(x) = -3*x**2. What is s(a(c))?
-126*c**4 - 12*c**2 - 1629
Let g(m) = -59*m - 1. Let i(h) = 881*h + 2. Determine g(i(z)).
-51979*z - 119
Let g(c) be the first derivative of -c**2 + 4. Let a(y) = -2*y. Let b(o) = -o. Let u(j) = 2*j + 1. Let f be u(6). Let v(n) = f*b(n) - 6*a(n). What is g(v(m))?
2*m
Let c(u) = -2*u**2. Let a(g) = -799*g**2 + 119*g + 119. Let x(y) = -20*y**2 + 3*y + 3. Let v = 21 + -15. Let n(j) = v*a(j) - 238*x(j). What is n(c(w))?
-136*w**4
Let a(w) = 414 - 2*w**2 - 414. Let g(q) = 12*q. Determine a(g(b)).
-288*b**2
Let q(z) = -6 + 7 - 1 - z. Let f(r) = 15*r - 11. Let a(v) be the first derivative of 4*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 5 times 522.1844?
2610.922
What is 0.16 times -19518?
-3122.88
Work out 0.5 * -82426984.
-41213492
Calculate -1362998.5*0.1.
-136299.85
Work out 69 * 716825.
49460925
What is the product of -61188 and -1335?
81685980
Product of -0.12 and 87459.7.
-10495.164
Work out -40392 * -64.9.
2621440.8
What is the product of -311678 and -337?
105035486
What is the product of 5 and 34570.8465?
172854.2325
Product of 1104 and 197.386.
217914.144
-296*-0.058376
17.279296
Calculate -271564089*-0.4.
108625635.6
Multiply 158.05 and 491.
77602.55
Multiply -6 and -467757.
2806542
Product of -2555.1 and -0.18.
459.918
What is 0.09 times -536548?
-48289.32
-8.7437 times -108.55
949.128635
-4184 times 823
-3443432
Calculate -0.35*-7154.
2503.9
Multiply 0 and 60617484.
0
What is -866807 times 0.1?
-86680.7
What is 18011 times -311?
-5601421
-1 * 72560841
-72560841
Calculate -0.39*-0.02798414.
0.0109138146
Product of -1893 and -544.
1029792
What is -638701 times 44?
-28102844
What is -143933 times 911?
-131122963
What is 199604265 times 0?
0
Product of -1444468 and -0.2.
288893.6
Calculate 283428.406*-0.3.
-85028.5218
What is -104 times 56847?
-5912088
Multiply -0.5 and 94488789.
-47244394.5
0 * 249957005
0
Multiply 5442 and -6621.
-36031482
0.29*-0.1946595
-0.056451255
Work out -56 * -0.0046024.
0.2577344
Calculate 64*-361953.
-23164992
Multiply -11 and 565951.
-6225461
Calculate -56388580.9*0.1.
-5638858.09
Product of -2.6 and -36927445.
96011357
Product of 2 and 85490513.
170981026
What is the product of -34 and -458.8868?
15602.1512
Calculate 140.999783*-0.4.
-56.3999132
-59 * -0.08184764
4.82901076
What is the product of 11 and -96247.19?
-1058719.09
1483275 times 0.3
444982.5
Work out 169.8873 * -6.
-1019.3238
What is -4.8 times 17205?
-82584
What is the product of -3 and -11421526?
34264578
Multiply -2150 and 462.
-993300
Multiply -33322 and 877.
-29223394
Calculate -5*-65601641.
328008205
Calculate -3590519*-13.
46676747
4*-0.119625
-0.4785
-258696 * 2.1
-543261.6
21 times 63294
1329174
Work out 13.8 * -0.02829.
-0.390402
Product of -14380.2 and 292.
-4199018.4
Multiply 2.61 and 0.56919.
1.4855859
What is the product of 6320 and 31385?
198353200
Product of -127.13 and 13.
-1652.69
Calculate 5*3.324368.
16.62184
Product of 0.063 and 1.4718.
0.0927234
What is -336157 times -4?
1344628
Calculate -611*-23069.
14095159
Work out 1 * -116013.7.
-116013.7
Multiply 0.5897 and -33.4.
-19.69598
3.11642*1.81
5.6407202
Calculate 9844*-0.113.
-1112.372
Multiply 1642964 and 0.3.
492889.2
Multiply 5 and -58541229.
-292706145
-1006429982 * -0.3
301928994.6
What is -8657.37 times -0.5?
4328.685
Product of -6070200 and -0.1.
607020
What is 0.148399 times 2.57?
0.38138543
Work out 0.068 * -1330836.
-90496.848
-773 * -558149
431449177
Multiply 9184 and 9608.
88239872
Calculate 340021.3*-0.1.
-34002.13
What is 4218.74 times -0.03?
-126.5622
Calculate 1401.64*2.428.
3403.18192
Calculate 22.02*14937.
328912.74
What is -4589588 times 31?
-142277228
Calculate 21.8413*0.02.
0.436826
What is -0.08 times -459.91985?
36.793588
Multiply 16558668 and 0.3.
4967600.4
470759 * 68
32011612
What is the product of -0.44 and -21277.5?
9362.1
Calculate 124671416*2.
249342832
-0.05765 * -0.038864
0.0022405096
Work out -0.5 * -599816.
299908
Calculate -32709*-0.015.
490.635
-17 * 225788
-3838396
-9*-20308800
182779200
What is -254190 times -0.07?
17793.3
6*-7098488
-42590928
Work out -0.25824 * 1372.
-354.30528
Multiply 4 and -43143510.
-172574040
Product of 201 and 6093.
1224693
What is 0.2473 times 3.27246?
0.809279358
-8*7873
-62984
12.5 * 12.4087
155.10875
Multiply -0.39849 and -3.7.
1.474413
Work out -17.3 * -8.4445.
146.08985
What is the product of 1.47 and 877?
1289.19
Product of -6751935 and 0.4.
-2700774
What is 0.106 times -50.036?
-5.303816
What is -5 times 3627376?
-18136880
10 times 3647877
36478770
-1496.5954 * 0.3
-448.97862
Work out 58946 * 17055.
1005324030
Multiply 0.08595 and -5.372.
-0.4617234
Calculate 37163*0.18.
6689.34
8836*1.9336
17085.2896
What is the product of 158 and -326748?
-51626184
Calculate 5974458*-3.
-17923374
Multiply 0.18 and -885699.1.
-159425.838
Calculate -463326*-0.02.
9266.52
What is -5 times -0.2620095?
1.3100475
11.64 * 685
7973.4
What is 0.06 times -0.656867?
-0.03941202
Calculate 617806*0.97.
599271.82
What is -2207.19 times -0.0164?
36.197916
-15487*-0.08623
1335.44401
Calculate -1250419*0.01.
-12504.19
Product of 91313425 and -0.2.
-18262685
Calculate 4.96154*-227.
-1126.26958
What is -18570 times 377?
-7000890
69.55*0.0383
2.663765
Work out -48.19 * -355203.
17117232.57
Product of -6.4849 and 1.3.
-8.43037
What is the product of 1 and -27282617?
-27282617
Product of -32861 and -65.
2135965
What is -157989 times 9.767?
-1543078.563
Multiply -74839 and -192.2.
14384055.8
Calculate 21.35*114087.
2435757.45
Multiply -0.074 and -155054.
11473.996
Work out -7493155 * 0.2.
-1498631
Product of 68023 and -743.
-50541089
Work out 0.029 * -40143.
-1164.147
Product of -1193.6 and -743.
886844.8
79.033 times 0.3
23.7099
What is 1467 times -1.4283?
-2095.3161
4893219 * 0.52
2544473.88
Multiply 2 and -75211.
-150422
19.726*-0.9798
-19.3275348
10757140 times -0.3
-3227142
Multiply 5687.2 and 21.9.
124549.68
Work out 70 * 3353324.
234732680
-4.16 times 53337
-221881.92
What is the product of 224.245 and 1.6?
358.792
Work out 0.1 * 410272.6.
41027.26
Multiply -2329.573 and -51.
118808.223
0.4*-2588.63779
-1035.455116
Multiply -2 and -41960299.
83920598
What is the product of -11416821 and -3?
34250463
What is the product of -1.1 and -2482.27?
2730.497
Product of 2254 and 8653.
19503862
Calculate -0.4*65.1669.
-26.06676
0.06638026 times 0.1
0.006638026
Multiply 5 and -16408.6369.
-82043.1845
Calculate 2*-1.02062.
-2.04124
Calculate -14*-2.347346.
32.862844
Work out -3.3 * -5294432.
17471625.6
Work out -1.4 * -157588.51.
220623.914
27914922*-0.4
-11165968.8
444 times -2661.26
-1181599.44
What is the product of -133 and 82027?
-10909591
0.2*6069327.7
1213865.54
Calculate -0.1*2527286.
-252728.6
Work out -5.7008 * -58.
330.6464
Work out 170929 * 132.
22562628
Work out 690 * 25201.
17388690
-39003*3
-117009
Calculate 119360*-0.05.
-5968
Product of -114996 and -4277.
491837892
Product of 0.1 and -95189880.
-9518988
-4.68952*-12
56.27424
Product of -23 and 739.238.
-17002.474
Product of 105.01 and 8.89.
933.5389
-0.076 times 5364
-407.664
52 * 63735
3314220
Multiply 1677 and -0.933.
-1564.641
0.365*-6.22316
-2.2714534
Product of -49.37 and 0.37601.
-18.5636137
-1*-5869116.4
5869116.4
0.18 times -1.2630481
-0.227348658
Work out 440 * 50681.
22299640
-2605 times -124119
323329995
0.4*253.463343
101.3853372
Product of -1.01299647 and 0.5.
-0.506498235
-166 times 0.372612
-61.853592
Work out -280.3 * -25814.
7235664.2
Multiply -91 and 2813.04.
-255986.64
Multiply -2069.089 and 8.
-16552.712
-3 times -1225634
3676902
234.5*-0.16163
-37.902235
Work out -0.3 * -1.896298.
0.5688894
0.2 times 412.365958
82.4731916
Product of 0.42 and 103.667.
43.54014
26103*0.336
8770.608
Product of -55 and 8375883.
-460673565
9701436 * -0.4
-3880574.4
Work out -0.3 * 199406038.
-59821811.4
Multiply -0.2 and -8.7947517.
1.75895034
179110*-3030
-542703300
283.458 times 26
7369.908
Work out 3653 * 7450.
27214850
Calculate -2.7943683*0.4.
-1.11774732
Calculate -0.05680642*-0.31.
0.0176099902
What is the product of 0.24757 and 1972?
488.20804
What is the product of 1 and -808.6356?
-808.6356
Multiply 9476 and -538.
-5098088
Multiply -22 and 425003.
-9350066
Calculate -22*159213.
-3502686
Multiply 16067917 and -31.
-498105427
Multiply -0.5 and 1046.9294.
-523.4647
Product of -690 and -3393.
2341170
What is the product of 318 and -299.1?
-95113.8
-13.38 * -21586
288820.68
-35.11*432.9
-15199.119
Calculate -2613641680*0.
0
0.53708051*2
1.07416102
Calculate -743*-20777.
15437311
-44348060*-0.02
886961.2
2570451.4 * -7
-17993159.8
What is 79 times -92757?
-7327803
Multiply 771.69 and 1262.
973872.78
What is -0.8 times 387163?
-309730.4
What is -10.01469 times 386?
-3865.67034
6467797 times -1.7
-10995254.9
Product of -0.185 and 5.4277.
-1.0041245
Multiply 3.942876 and -0.5.
-1.971438
Multiply -0.741948 and -6.
4.451688
Product of -1111912 and 1.4.
-1556676.8
475.218*-0.032
-15.206976
-52*-550871
|
{
"pile_set_name": "DM Mathematics"
}
|
= -30*a - 1. Let r(n) = 3*l(n) + 24*o(n). Let w(z) = 2*z**2 - 49*z. Calculate w(r(s)).
72*s**2 + 294*s
Let h(c) = -12908*c + 769. Let b(n) = -4*n**2. Calculate h(b(p)).
51632*p**2 + 769
Let h(k) = 42*k**2. Let c(p) = 18 + 0*p**2 + 18 + 4*p**2 - 36. Give h(c(j)).
672*j**4
Let b(s) = -1897*s - 450. Let x(v) = 950*v + 270. Let d(z) = -3*b(z) - 5*x(z). Let t(y) = -y**2. What is d(t(c))?
-941*c**2
Let l(g) = 3220*g - 6576*g + 3172*g. Let w(t) = -14*t. Determine l(w(i)).
2576*i
Let j(i) = 15347*i**2 - 1648. Let u(y) = 93*y**2 - 10. Let v(t) = 5*j(t) - 824*u(t). Let x(z) = z. Determine x(v(k)).
103*k**2
Let o(u) = -u**2. Let t(l) = 164512*l**2 - 2*l - 97. Calculate t(o(h)).
164512*h**4 + 2*h**2 - 97
Let z(g) = 55*g. Let o(s) be the first derivative of 111/2*s**2 - 7 + s. Let x(p) = 2*o(p) - 5*z(p). Let t(j) = -j**2. Calculate t(x(w)).
-2809*w**2 + 212*w - 4
Let k(l) = -l**2 + 2*l - 118824. Let i(m) = 58*m + 2. Calculate k(i(s)).
-3364*s**2 - 116*s - 118824
Let v(k) = -3501*k - 2. Let b(o) be the second derivative of -o**3/6 - 4799*o. Determine v(b(r)).
3501*r - 2
Let x(u) = -u. Let a(g) be the second derivative of -g**3/3 - g**2 - g - 22. Let b(k) = -4 - 3 + 4 + 2 + k. Let c(o) = -a(o) + 2*b(o). Determine c(x(j)).
-4*j
Let c(m) = 76*m - 2*m**2 - 147*m + 71*m. Let a(f) be the first derivative of -195*f**2/2 + 19. Give c(a(v)).
-76050*v**2
Let g(v) = 18*v**2. Let i(d) be the first derivative of d**3 - 19*d - 7860. Calculate i(g(r)).
972*r**4 - 19
Let n(f) = 10*f**2. Let x be -1 + (3 + 0/1 - 2). Suppose -2*j + 33 - 19 = x. Let d(z) = 2*z**2 + z**2 - j*z**2 - z**2. Calculate d(n(v)).
-500*v**4
Let g(d) = 11*d**2. Let f(i) be the second derivative of 185*i**4/12 + 1408*i - 3. Give f(g(n)).
22385*n**4
Let w(u) = -23*u - 13*u + 36*u - 14*u. Let q(c) = -302*c**2 + c. Determine q(w(d)).
-59192*d**2 - 14*d
Let b(n) be the second derivative of -n**4/12 - 28*n + 2. Let o(r) = 4*r - 84. Calculate o(b(p)).
-4*p**2 - 84
Let l(v) = v + 4. Let o(j) be the first derivative of 2*j + 296. Let q(b) = l(b) - 2*o(b). Let m(w) = 6*w. Calculate q(m(p)).
6*p
Let x(s) = 609*s**2 - 9 - 1690*s**2 + 3 + 587*s**2 + 573*s**2 - s. Let l(k) = -4*k**2. What is x(l(p))?
1264*p**4 + 4*p**2 - 6
Let j(w) be the first derivative of 133*w**2/2 - 61. Let m(f) = -3*f + f - 5*f. Let u(k) = -3*j(k) - 56*m(k). Let v(o) = -o**2. Determine u(v(z)).
7*z**2
Let n(m) = -3*m. Let j(k) = -825*k**2 + 10*k - 18. Determine j(n(p)).
-7425*p**2 - 30*p - 18
Let k(x) = -42*x**2 + 725399*x - 1. Let z(n) = 2*n**2. Determine k(z(v)).
-168*v**4 + 1450798*v**2 - 1
Let r(z) = -38*z + 10. Let w(d) = -60*d + 16. Let q(l) = -8*r(l) + 5*w(l). Let u(v) = 23*v + 28. Determine q(u(m)).
92*m + 112
Let v(j) = j**2. Let k(r) = 91*r - 36*r**2 - 198*r + 107*r. Determine k(v(a)).
-36*a**4
Let s(v) = -2*v**2 + 2*v + 916. Let c(z) = -747*z. What is s(c(b))?
-1116018*b**2 - 1494*b + 916
Let i(q) = q - 18. Let x be i(23). Let g(u) = -100*u - x*u**2 + 48*u + 52*u. Let m(n) = -5*n**2. Determine g(m(h)).
-125*h**4
Let z(u) be the third derivative of -u**5/10 - 11*u**2. Let x(s) be the third derivative of 5*s**5/12 + 1614*s**2 + 1. Calculate z(x(f)).
-3750*f**4
Let x(l) = -l + 22. Let u(n) = 12*n + 22. Let w(y) = -u(y) + x(y). Let b(a) be the third derivative of -a**5/20 - a**2. Determine w(b(s)).
39*s**2
Let m(y) = -54*y + 2*y + 49*y. Let f(h) = 2*h**2 - 86*h - 1. What is m(f(l))?
-6*l**2 + 258*l + 3
Let m(s) = 8*s. Let b(z) = 11*z + 375*z - 135*z - 68*z. Give b(m(n)).
1464*n
Let p(h) = -3309*h - 1. Let d(u) = -u - 420. What is p(d(x))?
3309*x + 1389779
Let w(o) = -196818*o. Let x(n) = -1634*n**2. Calculate x(w(b)).
-63296789252616*b**2
Let f(j) = -13*j**2. Let g(t) = 92*t - 265*t + 104*t. Determine g(f(n)).
897*n**2
Let w(t) = 3*t**2. Let p(c) = -8*c**2 + 12*c - 3. Let a(i) = 37*i**2 - 58*i + 16. Let k(q) = 6*a(q) + 29*p(q). Give k(w(j)).
-90*j**4 + 9
Let i(b) be the first derivative of 7*b**3/3 + 499. Let g(x) = -157*x. Give i(g(d)).
172543*d**2
Let m(z) = -4*z. Let p(h) = 32 + 398 - 54 + 3*h - 55. What is p(m(i))?
-12*i + 321
Let i(p) = -191*p**2 + 349*p**2 - p - 170*p**2 + p. Let v(u) = -2*u**2 + 40*u. Determine v(i(m)).
-288*m**4 - 480*m**2
Let x(i) = -i**2. Let k = -314 - -316. Let n(o) = -30*o**k - 3*o + 3*o + 191*o**2. Determine x(n(j)).
-25921*j**4
Let k(n) = 6*n**2 - 15*n**2 + 5*n**2 + 4*n**2 + 4*n**2. Let b(w) = -6*w**2. Let v(r) = b(r) + 2*k(r). Let q(p) = 99*p**2. Calculate v(q(x)).
19602*x**4
Let g(z) = -z**3 + 20*z**2 - 18*z - 17. Let p be g(19). Let h(a) = 18102 + 3*a**p - 18102. Let b(d) = -96*d. Determine h(b(r)).
27648*r**2
Let h(q) = q + 32*q + q - 33*q. Let x(l) = -169*l + 8. What is h(x(j))?
-169*j + 8
Let j(m) = 4*m. Let u(q) = -q**2 + 11 - 5 - 6 + 4*q. Let p(y) = -5*y**2 + 22*y. Let g(k) = -2*p(k) + 11*u(k). What is j(g(o))?
-4*o**2
Let x(b) = -39*b - 26*b - 42*b + 169*b + 1 - 35*b. Let z(p) = -13*p. Determine z(x(q)).
-351*q - 13
Let r(z) be the second derivative of z**6/120 - 59*z**4/6 - 22*z + 1. Let p(m) be the third derivative of r(m). Let a(b) = 4*b. Calculate a(p(g)).
24*g
Suppose 3*g - 8*g + 95 = 0. Let x(w) = 0*w + g*w - 12*w. Let f(r) = 7*r**2. Determine f(x(i)).
343*i**2
Let u(f) = 2*f**2. Let p(c) = -55*c + 277. Let a be p(5). Let o(i) be the third derivative of 0*i**4 - 1/20*i**5 - 13*i**a + 0*i + 0 + 0*i**3. Give u(o(q)).
18*q**4
Let k(o) = 6*o - 7. Let t(i) = -35907*i. Give t(k(l)).
-215442*l + 251349
Let f(l) = -77*l. Let u(y) = -5622752*y. What is f(u(k))?
432951904*k
Let r(h) = 2*h**2 + 5 + 2 - 7 + 0*h**2. Let d(z) = -1790*z**2. Determine r(d(n)).
6408200*n**4
Let b(z) = -731 - 57*z + 1372 - 639. Let r(h) = -2*h**2 + 2*h**2 - h**2. Determine r(b(q)).
-3249*q**2 + 228*q - 4
Let n(o) = -6*o**2 - 394368 + 394368. Let i(u) = -187*u**2. Calculate n(i(j)).
-209814*j**4
Let l(k) = -273825259*k. Let i(q) = q. Give i(l(b)).
-273825259*b
Let w be (-3)/9 + 0 - 50/(-6). Let i(a) be the first derivative of 3/2*a**2 + w + 0*a. Let p(j) = -4*j**2. Give p(i(t)).
-36*t**2
Let h(l) = 16*l**2. Let u = 369 + -223. Let n(s) = u + 2*s - 291 + 145. Give h(n(p)).
64*p**2
Let u(r) = -1093*r + 2282*r + 2756*r. Let v(l) = -l. What is v(u(p))?
-3945*p
Let u(y) = 289*y. Let r(k) = 1159741*k. Calculate r(u(l)).
335165149*l
Let h(a) = -143*a**2 - a. Let u(d) = -59145*d. Determine u(h(m)).
8457735*m**2 + 59145*m
Let q(z) = -4*z**2 - 5802727 - 2*z + 2*z + 5802748. Let t(i) = i**2. Determine q(t(v)).
-4*v**4 + 21
Let y(a) = 18*a - 21. Let q(j) = -15*j - 4. Let g(l) = 19*l + 5. Let s(h) = -8*g(h) - 10*q(h). Determine y(s(o)).
-36*o - 21
Let r(a) = -635545*a**2 + 19. Let n(u) = 3*u. Give r(n(c)).
-5719905*c**2 + 19
Let c(k) = k**2. Let u(r) be the third derivative of 13/24*r**4 + 0*r - 1/3*r**3 + 9*r**2 + 0. What is u(c(i))?
13*i**2 - 2
Let p = -5 - -9. Let t(d) = -17 + 17 + 5*d + p*d. Let k(j) = 4*j**2 + 3*j + 3. Let n(u) = 11*u**2 + 8*u + 8. Let o(m) = 8*k(m) - 3*n(m). Give o(t(y)).
-81*y**2
Let a(r) be the second derivative of r**3/3 + 2357*r. Let j(g) be the second derivative of -2*g + 0 + 0*g**2 - 3/2*g**3. Determine a(j(k)).
-18*k
Let s(d) = 24*d**2 + 143*d + 13. Let x(o) = 4*o**2 + 22*o + 2. Let g(a) = 2*s(a) - 13*x(a). Let n(k) = 575*k**2 + 1. Calculate g(n(r)).
-1322500*r**4 - 4600*r**2 - 4
Let l(i) = -9998193*i**2. Let f(q) = 3*q**2. Determine l(f(n)).
-89983737*n**4
Let a(b) = 14*b + 368. Let s(g) = 8*g + 207. Let m(r) = 9*a(r) - 16*s(r). Let u(w) = -1. Let c(q) = -8*q - 3. Let j(n) = -c(n) - u(n). Determine j(m(x)).
-16*x + 4
Let j = 1715 - 1053. Let l(b) = -j*b + 337*b + 349*b. Let v(u) = 2*u**2. Determine v(l(p)).
1152*p**2
Let j(x) = -x + 23. Let n(u) = -183*u**2 - 2*u - 1600. What is j(n(t))?
183*t**2 + 2*t + 1623
Let g(t) = -2*t**2 + 45*t. Let z(f) = 18324*f. Calculate z(g(m)).
-36648*m**2 + 824580*m
Let u(q) be the third derivative of 0 + 0*q**3 + 1/8*q**4 + 21/20*q**5 + 84*q**2 + 0*q. Let x(g) = 2*g**2. Determine x(u(r)).
7938*r**4 + 756*r**3 + 18*r**2
Let q(r) = 7*r - 4*r + 0*r. Let w(a) = 35*a**2 + 16. Let n(m) = 25*m**2 + 13. Let s(h) = 4*n(h) - 3*w(h). Calculate q(s(d)).
-15*d**2 + 12
Let h(a) = 6*a + 91. Let t(q) = 3*q + 42. Let o(d) = 6*h(d) - 13*t(d). Let c(w) = 3*w**2. Give o(c(g)).
-9*g**2
Let o(a) = 5*a. Let p(k) = -k**2 + 159669*k. Determine o(p(h)).
-5*h**2 + 798345*h
Let w(j) = 212*j. Let h(i
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 181*y**2 - 98*y**2. Let g(r) = -3*i(r) - 77*z(r). What is g(b(o))?
44*o**4
Let n(p) = 13*p**2. Let y(b) = 78259*b**2. Calculate n(y(g)).
79618124053*g**4
Let y(l) = 31*l**2. Let r(j) be the first derivative of -j**4/12 - 33*j + 5. Let i(v) be the first derivative of r(v). Calculate i(y(o)).
-961*o**4
Let z(v) be the first derivative of -v**3 + 1. Let x(c) = 4*c**2 + c**2 + c**2 - 7*c**2. Determine x(z(u)).
-9*u**4
Let r(g) be the first derivative of g**2 + 1. Let x(f) = -82*f + 310*f - 78*f - 82*f - 74*f. Give x(r(i)).
-12*i
Let b(i) = 8*i. Let x(j) be the first derivative of j**5/40 - 4*j**3/3 + 31. Let w(f) be the third derivative of x(f). What is b(w(c))?
24*c
Let p(h) = h. Suppose 4*m + 2*y - 52 = 0, y + 18 = m - y. Let l(w) = -m*w**2 + 7*w**2 - w**2. Calculate p(l(k)).
-8*k**2
Let i(q) = -45*q**2. Let n(z) = 10*z**2 - 2*z. Give n(i(x)).
20250*x**4 + 90*x**2
Let b(n) be the first derivative of n**3/3 - 4. Let r(g) be the third derivative of g**4/24 + 2*g**2 - 12. Give b(r(f)).
f**2
Let n(k) = 60*k. Let z(u) = -25*u - 9. Let p(f) = -51*f - 21. Let i(j) = -3*p(j) + 7*z(j). Determine n(i(r)).
-1320*r
Let g(y) = -30*y**2. Let u(m) = -3*m + 2. Let w(k) = 10*k - 7. Let b(v) = -14*u(v) - 4*w(v). Calculate g(b(p)).
-120*p**2
Let j(r) = 13*r - 5*r - r - 6*r. Let h(q) be the first derivative of -13*q**3/3 + 2. What is j(h(k))?
-13*k**2
Let j(f) = -5*f. Let o(h) = -51626*h. Give j(o(l)).
258130*l
Let u(x) = 11*x - 1. Let l(f) = -3*f + 1. Let m(d) = 6*l(d) + 2*u(d). Let a(b) be the second derivative of -b**3/6 - b. Calculate a(m(p)).
-4*p - 4
Let f(k) = 7*k**2 - 9*k**2 + 11*k**2 + 0*k**2 + 5*k**2. Let n(g) = 22*g**2. What is f(n(p))?
6776*p**4
Let n be (2/12 - 52/24)/(-1). Let u(x) = 704*x - 14*x**n - 704*x. Let f(m) = -m. Determine f(u(s)).
14*s**2
Let p(a) = 820*a. Let y(t) = -138*t**2. Determine p(y(o)).
-113160*o**2
Let v be (-7)/2*(-44)/77. Let s(l) = 8*l. Let o(m) be the first derivative of -m**2 + 21. Let k(n) = v*s(n) + 9*o(n). Let c(i) = 7*i. What is k(c(t))?
-14*t
Let k(s) = -148*s**2. Let p(z) = -21693*z. Give k(p(x)).
-69646764852*x**2
Suppose -5*g = -4 - 11. Let u(s) = -2. Let t(b) = 1. Let x(m) = -5*t(m) - 2*u(m). Let k(d) = -d + 3. Let i(a) = g*x(a) + k(a). Let r(l) = -3*l. What is r(i(p))?
3*p
Let s(m) be the third derivative of -m**5/20 - 5*m**2 - 22*m. Let c(g) = 36*g**2. Give s(c(d)).
-3888*d**4
Let g(h) be the second derivative of h**4/3 + 8*h. Let z(n) = 1. Let d(y) = -5*y**2 + 1. Let v(p) = -d(p) + z(p). Give v(g(j)).
80*j**4
Let j(o) = 25*o**2 + 17*o + 34. Let t(h) = 9*h**2 + 6*h + 12. Let g(y) = -6*j(y) + 17*t(y). Let a(d) = 65*d**2. Determine g(a(n)).
12675*n**4
Let c(d) be the second derivative of -d**4/6 + 91*d. Let h(t) = -421*t**2. Give c(h(r)).
-354482*r**4
Let n(v) be the first derivative of 1 + 0*v + 1/2*v**2. Let u(m) = 24*m - 36. Let c(z) = -11*z + 16. Let i(o) = 9*c(o) + 4*u(o). Determine i(n(b)).
-3*b
Let b(d) be the second derivative of d**3/3 + 9*d. Let o(k) = -7*k - 3. Let w(r) = -r - 3*r - 2*r - 2 + 0*r. Let t(q) = 2*o(q) - 3*w(q). Calculate t(b(h)).
8*h
Let q(g) = 185*g**2 - 370*g**2 + 176*g**2. Let a(z) = -2*z**2. Calculate a(q(j)).
-162*j**4
Let m(l) = 4162*l. Let g(u) = u - 1. Give g(m(c)).
4162*c - 1
Let q(w) = 2*w. Let n = -15 + 17. Let u(c) = 44 + 0*c**2 - 76 + n*c**2. Calculate q(u(a)).
4*a**2 - 64
Let j(y) be the second derivative of -y**4/6 - y + 4. Let v(g) = -g**2 + 22*g. What is v(j(x))?
-4*x**4 - 44*x**2
Let a(z) be the first derivative of 67*z**2/2 - z + 351. Let h(y) = 3*y**2. Determine h(a(d)).
13467*d**2 - 402*d + 3
Let h(u) = u**2. Let n(f) be the third derivative of 0*f - 1/10*f**5 + 0*f**4 + 0*f**3 + 0 - 6*f**2. Determine h(n(b)).
36*b**4
Let h(r) = -21 - 28 + 2*r**2 + 49. Let p(u) = 157*u. Determine h(p(v)).
49298*v**2
Let f(x) = -23*x. Let q(c) = 97*c**2 - 22*c + 1. Give q(f(g)).
51313*g**2 + 506*g + 1
Let v(z) be the third derivative of z**4/12 + 4*z**2 + 8*z + 1. Let a(t) be the first derivative of 23*t**3 + t**2 + 1. Give a(v(g)).
276*g**2 + 4*g
Let b(h) = 304*h. Let u(i) = -681*i. What is u(b(y))?
-207024*y
Let i(l) = -l + 15. Let j(x) = -7*x**2 - 4. Give j(i(z)).
-7*z**2 + 210*z - 1579
Let b(u) = 176288*u. Let x(w) = 2*w**2. Give x(b(n)).
62154917888*n**2
Let i(x) = -231*x**2. Let k(q) = 82*q**2 - 1. Give k(i(r)).
4375602*r**4 - 1
Let q(g) = -93662*g. Let z(t) = -65*t. Give q(z(s)).
6088030*s
Let s(c) = 2*c. Let a(l) be the second derivative of l**7/2520 + l**5/120 + 7*l**4/4 - 16*l. Let b(u) be the third derivative of a(u). Determine b(s(w)).
4*w**2 + 1
Let u(f) be the first derivative of 9*f**2/2 + 36. Let q(i) = 0*i + 2*i + 0*i. Let c(m) = -21*q(m) + 4*u(m). Let h(g) = 2*g. Calculate c(h(p)).
-12*p
Let t(b) = -2*b**2. Let x(u) be the first derivative of -997*u**2/2 + 764. What is x(t(o))?
1994*o**2
Let v(i) = 44*i. Let l(n) = -6*n + 4*n - 6*n. Let d(g) = 28*l(g) + 5*v(g). Let r(a) = 9*a**2. Determine d(r(h)).
-36*h**2
Let y(d) = -2*d - 141. Let s(g) = 10*g + 8*g - 10*g - 7*g. Determine y(s(z)).
-2*z - 141
Let q(a) be the second derivative of 6*a + 0 + 0*a**2 + 1/6*a**3. Let p(t) = 38*t. Give p(q(m)).
38*m
Let h(b) = -2*b**2 - 611*b. Let z(x) = 3*x + 112. Calculate z(h(c)).
-6*c**2 - 1833*c + 112
Let c(b) = -2*b. Let y(r) be the second derivative of r**3/3 - 17*r**2/2 - 93*r + 2. Calculate y(c(n)).
-4*n - 17
Let s(u) = u**2 - 5*u. Let h(m) = -16*m + 10. What is h(s(l))?
-16*l**2 + 80*l + 10
Let s(y) = 29*y**2. Let a(l) be the first derivative of 0*l + 0*l**2 - 12 + 1/3*l**3. Determine s(a(r)).
29*r**4
Let n(c) = -c - 8. Let z(w) = 14*w + 104. Let a(v) = -78*n(v) - 6*z(v). Let d(f) = 146*f + 1. What is a(d(k))?
-876*k - 6
Let h(k) = -k**2. Let j(p) = -27*p**2 + 22*p**2 + 26*p**2. Give j(h(y)).
21*y**4
Suppose 29*w + 15 = 24*w. Let a(n) = 70*n + 8. Let l(u) = 23*u + 3. Let x(c) = w*a(c) + 8*l(c). Let i(h) = h**2. Calculate x(i(r)).
-26*r**2
Let m(r) = -33*r**2. Let n(l) be the third derivative of 0*l + 5*l**2 + 0*l**4 + 0 + 0*l**3 - 1/60*l**5. What is m(n(u))?
-33*u**4
Let q(f) = 4*f + 82. Let n(h) = 4*h**2 - 6*h. What is q(n(d))?
16*d**2 - 24*d + 82
Let a(h) = -2*h**2 + 149*h. Let n(t) = 9*t. What is n(a(o))?
-18*o**2 + 1341*o
Let p be (-1)/((-1)/(-6)*2). Let s(u) = 3*u. Let k(f) = 23*f. Let c(b) = p*k(b) + 24*s(b). Let j(q) be the first derivative of q**2 - 26. Determine j(c(h)).
6*h
Let y be (-28)/(-4)*36/14. Suppose -5*k - 20 = 0, q - 3*k - y = k. Let o(r) = r**2 - q + 5 - 3. Let s(m) = -4*m. Calculate o(s(w)).
16*w**2
Let l(y) be the first derivative of y**4/3 - 30*y - 22. Let m(q) be the first derivative of l(q). Let d(w) = -w. Calculate m(d(k)).
4*k**2
Let r(u) = 7*u. Let k(y) be the third derivative of y**7/1260 - 7*y**4/6 - 22*y**2. Let i(o) be the second derivative of k(o). What is r(i(g))?
14*g**2
Let a = -4 + 6. Let u(b) = 7*b**2 + 6*b**2 + 2*b**a - 17*b**2. Let r(c) = 12*c**2. Determine r(u(l)).
48*l**4
Let p(m) be the first derivative of m**2 - 185. Let g(x) be the second derivative of x**4/3 + 2*x. Give g(p(u)).
16*u**2
Let g(d) = 31282*d**2. Let o(y) = -y**2. Calculate g(o(u)).
31282*u**4
Let a(q) = 2*q - 28. Let u(w) = w - 21. Let d(o) = -3*a(o) + 4*u(o). Let x(c) = 546*c**2. Calculate d(x(m)).
-1092*m**2
Let f(g) = -78*g. Let j(s) be the second derivative of -s**3/2 - s - 24. Give j(f(l)).
234*l
Let v(b) = 83*b. Let r(t) = 5276*t**2 + 1. Give v(r(g)).
437908*g**2 + 83
Let y(q) = -5*q**2 - 965*q. Let i(f) = -f**2. Calculate y(i(c)).
-5*c**4 + 965*c**2
Let z(g) = 35*g - 24*g + 1 - 1. Let j(q) = 4*q**2 - 9*q. Let r(d) = -d**2 + 2*d - 1 - 1 + 2. Let b(o) = -2*j(o) - 9*r(o). Give b(z(m)).
121*m**2
Let u(z) = 22*z**2 - 48*z**2 + 11*z**2 + 14*z**2. Let w(q) = -2*q**2. Give u(w(y)).
-4*y**4
Let t(g) = -2*g. Let z(x) be the first derivative of -121*x**2 - 569. Give z(t(c)).
484*c
Let f(o) be the second derivative of o**4/12 + o. Let q(c) = 6*c - 72. Let v(g) = 7*g - 60. Let h(k) = -5*q(k) + 6*v(k). Calculate f(h(d)).
144*d**2
Let a(v) = -5*v. Let b(x) be the second derivative of 7*x**4/3 - 8*x + 2. Give b(a(c)).
700*c**2
Let n(k) = -k. Let d(g) = g**2 + g + 567541. Give d(n(b)).
b**2 - b + 567541
Let l(b) = 26633*b**2. Let q(d) = -35*d. Calculate l(q(f)).
32625425*f**2
Let g(u) = -15*u - 28*u - 61 + 61. Let d(x) = x**2. Determine d(g(s)).
1849*s**2
Suppose -2*m - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
/4 + 7*m**3/6 - m**2 - 2*m. Let s(g) = g**2 - 12*g + 15. Let u be s(10). What is the units digit of b(u)?
3
Let m(p) = p**2 - 3*p + 4. Let a be m(3). Let n(t) = 9*t**2 - 2*t**2 + 7*t - 3*t - a*t**2 + 3. What is the tens digit of n(-3)?
1
Let i(n) = -2*n**2 - 7 + n**3 + 0*n**3 - 2 - 6*n**2. Let s be i(8). What is the units digit of -3 - s/((-18)/(-20))?
7
Let i = 20 + 6. Let d = 44 - i. What is the units digit of d?
8
What is the tens digit of (30/4)/((-1295)/(-430) + -3)?
4
Let l be 540/(-63) + (-4)/(-7). Let w = l + 16. What is the units digit of w?
8
Let n(a) = a + 4. Let u(k) = -k**3 - 7*k**2 + k + 7. Let o be u(-7). Suppose o = -v - v + 8. What is the units digit of n(v)?
8
Let m be (-22)/10 + (-13)/(-65). Let t be 0 + 2 + -1 + 1. What is the tens digit of m*((-13)/t - 1)?
1
Suppose 73 = -2*u - 4*d - d, 0 = 2*u + d + 77. Let g be 107/(-3) - (-13)/u. Let b = -1 - g. What is the tens digit of b?
3
Suppose -2*o = -3*d - 4656, -12*d - 6978 = -3*o - 9*d. What is the thousands digit of o?
2
Suppose -2*r + 9 = 93. Let w = 215 + r. What is the tens digit of w/7 - (-8)/28?
2
Suppose -349 = -4*b - 117. Let g = 122 - b. What is the tens digit of g?
6
Suppose -4*w + 91 = 79. Suppose 0 - 96 = -4*p - 5*d, -95 = -w*p + 2*d. What is the tens digit of p?
2
Let l = 2470 - 243. What is the hundreds digit of l?
2
Suppose 2*u - 5 = 25. Let q = u - -3. What is the tens digit of q?
1
Suppose -2*w + 86 = -4*j, 0 = -2*j + 6*j + w + 95. Let v = j + 50. Suppose 6*a = 3*a + v. What is the units digit of a?
9
Let m be 3 + -1 + -5 - -7. Suppose i = m - 2. Suppose i*q + 3*p = 36, 4*q + 10 = 5*p + 82. What is the tens digit of q?
1
Let g be 13 + -1 - (-1 - -2). Let r = 33 + g. What is the units digit of r?
4
Let x = -29 - -29. Suppose x = -3*q - 0*q + 183. What is the units digit of q?
1
Let d(j) = 2*j**2 - 3*j + 6. Let p be d(3). Suppose p*q = 14*q + 2. Suppose 4*k - 88 = q*k. What is the tens digit of k?
4
Let b = 13 + -13. Suppose b = -2*h + 6*h + 4. What is the units digit of h/4 - (-365)/20?
8
Let w(u) = -21*u + 1178. What is the units digit of w(19)?
9
What is the thousands digit of 3/(3 - 0) + 27624/12?
2
Let x(a) = a + 9. Let m be x(-5). Suppose 3*d - 5*r = 1, -2*d + m*r + 2 = d. Suppose -d = 2*z, -b + z + 2 = -3. What is the units digit of b?
4
Suppose 4*v = 5*t + 8, -3*v - 2*v = -4*t - 19. Suppose -v*z = -2*z - 475. Suppose -3*w - 91 = -4*o + 2*w, 0 = -4*o + w + z. What is the units digit of o?
4
Let w(u) = -3*u**2 + u + 29. Let v(j) = j**2 - j - 15. Let n(c) = -7*v(c) - 3*w(c). What is the hundreds digit of n(8)?
1
Suppose -4*w - v + 68 = 0, -v = 3*w - 3*v - 40. Let i(r) = -10 - 1 - w - 6*r + 2*r. What is the tens digit of i(-20)?
5
Let v(f) = 9*f**2 - 15*f + 4. Suppose 2*i - 4 - 12 = 2*n, i = -4*n - 12. What is the tens digit of v(i)?
8
What is the tens digit of ((-309595)/130)/((-1)/2)?
6
What is the thousands digit of ((-734)/4)/(6/(-36))?
1
Suppose 0 = 114*s - 131*s + 64226. What is the hundreds digit of s?
7
Suppose -4*u = -2*u - 710. Suppose 0*d - u = -5*d. What is the units digit of d?
1
Suppose -3*w - 2 - 10 = 0. Let v(a) = -a**3 - 4*a**2 - 3*a - 6. Let p be v(w). Suppose 2*j = -2*x + p*j + 10, 25 = 5*x + 2*j. What is the units digit of x?
5
Let v = -23 + 81. Let w = v - 40. What is the units digit of w?
8
Let y(k) = -k**2 + 2*k + 7. Let v be (-6)/(4 + -1 - 5). Let t be y(v). Suppose -3*o = -5*p + 2*o + 180, -144 = -4*p - t*o. What is the tens digit of p?
3
Let b(v) = v**2 - 15*v + 16. Let y(d) = d. Let c(g) = -b(g) + 2*y(g). Let n be 103/7 - 2/(-7). What is the tens digit of c(n)?
1
Let j(z) = 4*z**3 + 9*z**2 - 2*z - 14. What is the thousands digit of j(6)?
1
Let c = 979 + 431. What is the hundreds digit of c?
4
Let i be (-5)/(3 + (-14)/5). What is the tens digit of (53/5)/((-5)/i)?
5
Let p be (-60)/(-25) - 8/20. Suppose -4*w + 98 = 4*d - 3*d, 4*w + p*d - 96 = 0. What is the units digit of w?
5
Let k(p) = 12*p - 2. Let x = -19 - -22. Suppose 4*f = -8, x*f = -4*t - 0*f - 2. What is the units digit of k(t)?
0
Let p = 6 - 6. Suppose p*b - 5*d + 36 = 4*b, 28 = 5*b + 2*d. What is the units digit of b?
4
Suppose -2*x - 12 = -4*l - x, 8 = -2*l + 4*x. Suppose 3*s - 2*q + 14 = 5*s, -8 = s - l*q. What is the units digit of s?
4
Suppose 0 = 5*g - 2*q - 8, -1 - 2 = -4*g + 5*q. Suppose -t = -g*t + 39. What is the units digit of t?
9
Let f be (-3 - (-54)/(-12))*(-4)/5. Let c(q) = q**3 - q**2 - 13*q + 7. What is the units digit of c(f)?
9
Let x = 24 - 12. Let b(q) = q**3 - 5*q**2 - 8*q + 8. Let j be b(6). What is the units digit of j/(-16) + 105/x?
9
Suppose -3*s = -5*s - 2. Let x(y) = 237*y**2 + 5*y + 2. What is the hundreds digit of x(s)?
2
Let t = 580 + -266. What is the tens digit of t?
1
Let k = 23 - 23. Suppose 8*v - 13*v + 390 = k. What is the tens digit of v?
7
Suppose -l + 2*l + 5*t = 17, 4*l + 5*t - 8 = 0. Let a be (l - 0)/((-27)/18). What is the units digit of 4*(a - (-57)/12)?
7
Let k be (-15)/(-25)*(158 - 3). Let i = k - 21. What is the tens digit of i?
7
Suppose 4*h - i - 3535 = h, -2*h + 2361 = -5*i. What is the tens digit of h?
7
Let s(l) = 2*l**3 - 23*l**2 - 8*l - 7. What is the tens digit of s(14)?
6
What is the tens digit of (-630)/(3/(-3) + -1 + 1)?
3
Let i(v) = -161*v - 3. Let y be i(-2). Suppose m = -w + 48, -5*w = m + 75 - y. What is the tens digit of w?
4
What is the units digit of 195/10*(-16)/(-24) + -7?
6
Let a(z) = z**3 - 8*z**2 + 9*z - 1. Let t be a(7). Suppose -1 = -x - 3*c + 38, -4*x + 5*c = -190. What is the units digit of (t + x)/(1*2)?
9
Let r = -15 + 18. Suppose 0 = -r*p + 13 + 41. Suppose -p + 6 = -3*w. What is the units digit of w?
4
Suppose -2*d = -d + 4. What is the units digit of 3/12 - 67/d?
7
Let s(i) be the second derivative of -i**4/12 - 10*i**3/3 + 39*i**2/2 + 28*i. What is the units digit of s(-21)?
8
Let x = -563 + 953. Suppose -6*m + 72 + x = 0. What is the units digit of m?
7
What is the hundreds digit of ((-21)/12)/(7/(-11592))?
8
Let z be (6/3 - 2)/(2/(-1)). Suppose z = 10*v - 4*v - 414. What is the tens digit of v?
6
Suppose 12*u = 8*u. Let c be (-1 - u) + 3 + -7. What is the units digit of (-136)/(-20) + (-1)/c?
7
What is the tens digit of 0 + (-8 - -18) + 239?
4
Let a(d) = -216*d - 47. What is the units digit of a(-4)?
7
Suppose 454*r = 449*r + 1325. What is the units digit of r?
5
Let w = 12 - 25. Let c = -7 - w. Let s = c + 1. What is the units digit of s?
7
What is the hundreds digit of (-3 - 0 - 1)/((-2)/529)?
0
Suppose -8216 = -0*c - 13*c. What is the tens digit of c?
3
Suppose 3 = -4*z - 1. What is the units digit of 3*z - (-53 + 18)?
2
Let l = -23 - -26. Suppose -k = -3*a + 3*k + 18, l*k - 6 = -a. What is the units digit of ((-15)/a)/(3/(-30))?
5
Let t = -174 + 331. Suppose -9*q + 787 = t. What is the units digit of q?
0
Let m be 1 + 53 + 2/(-6)*-6. Let w = m + -20. What is the tens digit of w?
3
What is the hundreds digit of 437030/275 - 8/(-10)?
5
Let i(s) = -3*s**3 - 2*s**2 + 3*s + 2. Let t(o) = o**2 - 6*o + 2. Let r be t(5). What is the tens digit of i(r)?
5
Let o be 8/28 - 19/(-7). Suppose -4*k + 4*z = -56, -19 - 19 = -o*k + 2*z. Suppose k = 5*c, 3*y - 4*y + 2*c = -17. What is the units digit of y?
1
Suppose -b + 4*d + 893 = 0, -12*b - 3*d + 4396 = -7*b. What is the tens digit of b?
8
Suppose -48 = -2*x + 2*m + 190, -12 = 4*m. What is the tens digit of x?
1
Suppose -2*v = 3*f + 5, 7*f + 24 = -5*v + 11*f. Suppose -h + 4 = -22. What is the units digit of (-632)/(-52) + v/h?
2
Suppose 0 = -3*p + 38 + 4. Suppose -5*x + 3*j + 24 = 0, -4*x - j + p = -12. What is the units digit of (4/x)/(6/54)?
6
Suppose 30 = 5*p - 55. Let t = -17 + p. Suppose -5*f + 3*s + 51 = -8, -2*f - s + 28 = t. What is the units digit of f?
3
Let i = -65 - -79. Let v(j) = j**2 - 11*j - 2. What is the units digit of v(i)?
0
Let h(m) = -m**3 + 7*m**2 + 3*m + 4. Let f be h(7). Suppose 5*p + 0*p = f. What is the units digit of p + (-1)/3*0?
5
Let r(f) = f**3 - 11*f**2 + 11*f - 7. Suppose 4 = 2*h - 16. Let j be r(h). Suppose 116 = t + j*t. What is the units digit of t?
9
Let t(q) = q**2 + 8*q - 5. Let b be t(-5). Let n = b - -22. Suppose n*p + 4*y - 94 = 0, 0 = p + 2*y - 7*y - 19. What is the units digit of p?
9
Suppose -9506 = 44*w - 51*w. What is the hundreds digit of w?
3
Suppose 5*g - 7*g + v + 2897 = 0, -2*g = -4*v - 2888. Suppos
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{
"pile_set_name": "DM Mathematics"
}
|
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