 Solve a(d) = 0.
-5, -1, 0
Suppose -8*d = -60 - 4. Factor d*b - 16 - 16 - 27*b + 3*b - 2*b**2.
-2*(b + 4)**2
Suppose -2*v - 79 = -85. Suppose v*f = -q - q + 19, 2*f = 5*q - 19. Let 2*o**3 - 170*o**q + o**4 + 82*o**5 + 87*o**5 = 0. What is o?
-1, 0, 2
Let u(t) = -t**3 - 3*t + 28. Let a be u(0). Suppose 2*p**2 + a*p**5 + 3*p**3 - 2*p**4 - 29*p**5 - 2*p**3 = 0. What is p?
-2, -1, 0, 1
Let -q**2 - 6/5*q + q**5 + 17/5*q**4 + 13/5*q**3 + 0 = 0. What is q?
-2, -1, 0, 3/5
Let v = 327 - 325. Find o, given that -8*o**2 - 26*o**v + 24*o**2 - o**3 - 21*o = 0.
-7, -3, 0
Let r(f) be the second derivative of f**5/110 - 43*f**4/33 + 85*f**3/33 - 2592*f - 1. Factor r(d).
2*d*(d - 85)*(d - 1)/11
Let v(i) be the first derivative of -i**6/30 - 23*i**5/25 - 151*i**4/20 - 25*i**3/3 + 80*i**2 - 100*i - 1608. Find t such that v(t) = 0.
-10, -5, 1
Let b be -5 + 22 + (2 - 4) + -3. Suppose 9*p**2 - 5*p**5 + 5*p**5 + 55*p**3 - 5*p**5 - 2*p + 27*p**4 - b*p = 0. What is p?
-1, 0, 2/5, 7
Let c(s) be the third derivative of -s**5/30 - 1691*s**4/6 - 2859481*s**3/3 + 1682*s**2. Suppose c(w) = 0. Calculate w.
-1691
Factor 41/4*h + 19/4*h**2 - 1/4*h**3 + 21/4.
-(h - 21)*(h + 1)**2/4
Let i(n) be the third derivative of n**5/480 + 119*n**4/96 + 899*n**2. Factor i(t).
t*(t + 238)/8
Let j(k) = -4*k + 79. Let p be j(13). Solve 4 + p*q - 22*q - q**2 + 2 = 0.
-1, 6
Let d(a) be the first derivative of a**4/30 - 2*a**3/15 - 8*a**2/5 - 144*a + 122. Let r(l) be the first derivative of d(l). Factor r(s).
2*(s - 4)*(s + 2)/5
Let a be (5 - 8)*114/(-855). Let x(n) be the first derivative of -1/30*n**4 + 1/15*n**2 + 13 + a*n - 2/15*n**3. Factor x(i).
-2*(i - 1)*(i + 1)*(i + 3)/15
Let y(m) be the third derivative of 0*m**3 - 1/6*m**5 - 185*m**2 + 0 - 1/24*m**6 + 0*m + 5/8*m**4. Let y(z) = 0. Calculate z.
-3, 0, 1
Let c(o) be the first derivative of 2*o**3/21 + 90*o**2/7 + 4050*o/7 + 245. Suppose c(v) = 0. What is v?
-45
Let a be 1/(-75)*(-6 - 3)*5. Let d = 1951/5 - 389. Factor 0 + d*j**2 + a*j**5 + 3*j**3 + 0*j + 12/5*j**4.
3*j**2*(j + 1)**2*(j + 2)/5
Let 0 + 0*q - 88/7*q**2 - 96/7*q**3 - 2/7*q**5 - 30/7*q**4 = 0. What is q?
-11, -2, 0
Let b = 251 - 249. Suppose 6*l**3 - 33*l + 6*l**2 - 2*l**2 - 17 + 5*l**b - 1 = 0. What is l?
-3, -1/2, 2
Let i(r) = -r**2 - 6*r + 137. Let m be i(-15). Suppose -36*p**m - 66*p + 16*p**2 - 101*p**3 + 99*p**3 - 47 - 25 = 0. Calculate p.
-4, -3
Let v(j) be the second derivative of -10*j + 2*j**3 - 1/4*j**4 - 10 + 63/2*j**2. Factor v(g).
-3*(g - 7)*(g + 3)
Let k be 6 - ((-103986)/(-171))/(-1). Let i = k - 614. Factor -i*z**4 - 8/19 + 6/19*z**2 - 8/19*z + 4/19*z**3.
-2*(z - 2)**2*(z + 1)**2/19
Let f(x) be the first derivative of -x**5/60 - x**4/36 - 11*x**2 + 87. Let t(i) be the second derivative of f(i). Suppose t(d) = 0. What is d?
-2/3, 0
Let f(s) be the first derivative of 2*s**5/25 - 1279*s**4/10 + 163328*s**3/3 + 81920*s**2 - 5541. Factor f(b).
2*b*(b - 640)**2*(b + 1)/5
Let c(q) be the first derivative of 3*q**5/4 + 215*q**4/24 - 25*q**3/3 - 23*q**2 - 50. Let p(k) be the second derivative of c(k). Factor p(j).
5*(j + 5)*(9*j - 2)
Let s(x) be the second derivative of -x**4/32 - 1145*x**3/16 - 429*x**2/2 + 3122*x. Solve s(k) = 0 for k.
-1144, -1
Let k = -11998 + 107984/9. Let s(b) be the first derivative of -2/15*b**5 - 29 + k*b**3 + 1/2*b**2 - 1/4*b**4 + 0*b. Solve s(v) = 0.
-3/2, -1, 0, 1
Let s(l) be the first derivative of l**6/135 + l**5/5 + 3*l**4/2 - 128*l - 54. Let z(a) be the first derivative of s(a). Solve z(d) = 0 for d.
-9, 0
Let k(z) be the first derivative of 1/3*z**4 - 2/3*z**3 + 1/5*z**5 + 14*z - 16 - 2*z**2. Let i(l) be the first derivative of k(l). Solve i(f) = 0 for f.
-1, 1
Suppose -3*z + 129*f = 125*f - 8, 3 = 3*f. Let d(n) be the first derivative of -z*n + n**3 - 1/4*n**4 + 0*n**2 - 11. Factor d(o).
-(o - 2)**2*(o + 1)
Suppose 0*g - 3/5*g**4 - 27/5*g**3 + 0 - 54/5*g**2 = 0. What is g?
-6, -3, 0
Let n(w) be the third derivative of -w**8/1008 - 2*w**7/105 + 11*w**6/45 + 19*w**5/90 - 77*w**4/24 - 85*w**3/9 - 93*w**2 + 20. Solve n(x) = 0 for x.
-17, -1, 2, 5
Find s, given that 2380/13*s + 2450/13 + 578/13*s**2 = 0.
-35/17
Let b(o) be the second derivative of -24*o - 65/2*o**2 + 0 - 35/3*o**3 - 5/12*o**4. Factor b(l).
-5*(l + 1)*(l + 13)
Let j(y) be the second derivative of -1/108*y**4 - 56*y + 5/54*y**3 - 2 - 2/9*y**2. Factor j(i).
-(i - 4)*(i - 1)/9
Factor -1837*k + 903*k + 6048 - 1154*k + 35*k**2 + 157*k**2 - 2*k**3.
-2*(k - 84)*(k - 6)**2
Let v(r) be the first derivative of -r**5/15 - 473*r**4/3 + 1264*r**3 - 11384*r**2/3 + 15184*r/3 + 4182. Determine d, given that v(d) = 0.
-1898, 2
Let y(w) be the first derivative of 3*w**4/4 - 46*w**3 + 1587*w**2/2 + 366. Factor y(o).
3*o*(o - 23)**2
Determine k so that 94752*k - 171*k**4 - 300732/5*k**2 + 63024/5*k**3 + 3/5*k**5 - 47040 = 0.
1, 2, 140
Let j(x) be the third derivative of -x**8/840 + 118*x**7/525 - 17*x**6 + 47396*x**5/75 - 157216*x**4/15 + 43*x**2 - 13*x + 3. Factor j(l).
-2*l*(l - 34)**3*(l - 16)/5
Suppose -455 = 6*c - 509. Factor -12*z**4 - 18*z + 10*z**3 + 20*z**2 + 5*z**3 + 40*z**2 + c*z**2.
-3*z*(z - 3)*(z + 2)*(4*z - 1)
Factor 222 - 664/3*c - 2/3*c**2.
-2*(c - 1)*(c + 333)/3
Let m(f) be the second derivative of -f**5/50 - 14*f**4/15 - 52*f**3/15 - 721*f. Factor m(d).
-2*d*(d + 2)*(d + 26)/5
Suppose -19*z + 30 = -22*z. Let l be (-256)/(-80) + (-8)/z. Factor 9/8*v**3 + 3/8*v**5 - 9/8*v**l + 0 - 3/8*v**2 + 0*v.
3*v**2*(v - 1)**3/8
Let s(d) be the second derivative of -d**6/288 + 5*d**5/48 - 15*d**4/32 - 29*d**3/6 - 17*d. Let z(k) be the second derivative of s(k). Factor z(p).
-5*(p - 9)*(p - 1)/4
Let h(p) be the third derivative of -p**8/728 - 16*p**7/1365 - 17*p**6/780 + 8*p**5/195 + 5*p**4/39 - 2*p**2 + 15. What is y in h(y) = 0?
-10/3, -2, -1, 0, 1
Find j such that 10/11 - 2/11*j + 10/11*j**4 - 2/11*j**5 - 20/11*j**2 + 4/11*j**3 = 0.
-1, 1, 5
Suppose -184/9*d**3 + 4*d**4 + 286/3*d - 2/9*d**5 + 560/9 + 76/9*d**2 = 0. Calculate d.
-1, 5, 7, 8
Suppose -282 = -125*b - 282. Let q(h) be the second derivative of 9*h**4 - 8*h**2 + b - 27*h + 14/15*h**6 - 26/5*h**5 - 8/3*h**3. Find s, given that q(s) = 0.
-2/7, 1, 2
Let f = 8196 + -8193. Let v(g) be the second derivative of -39/4*g**4 - 17*g**f + 39*g - 12*g**2 + 1/2*g**6 + 0 - 6/5*g**5. Factor v(b).
3*(b - 4)*(b + 1)**2*(5*b + 2)
Let t(w) be the second derivative of -w**6/30 + 9*w**5/5 - 209*w**4/12 + 29*w**3 - 1261*w. Factor t(s).
-s*(s - 29)*(s - 6)*(s - 1)
Let j be (-2)/10*-17 - (-6)/(-15). Let q(v) be the first derivative of -3*v**3 + j*v**2 - 3*v - 4 - 19 + 2*v**3. Determine l, given that q(l) = 0.
1
Suppose 4*d - 47*d - 14*d = 0. Let i(f) be the first derivative of 4/9*f**5 - 16 - 1/9*f**2 - 1/9*f**6 + 4/9*f**3 + d*f - 2/3*f**4. Factor i(u).
-2*u*(u - 1)**3*(3*u - 1)/9
Factor -3*x + 1/4*x**3 + 9/4*x**2 - 5.
(x - 2)*(x + 1)*(x + 10)/4
Let f(i) be the second derivative of i**7/42 - i**6/3 + 23*i**5/20 - 7*i**4/6 - 5251*i. Let f(g) = 0. Calculate g.
0, 1, 2, 7
Factor 1105 - 2380 + 100*v**2 + 819 - 319*v**2 + 3*v**3 - 100*v - 578*v.
3*(v - 76)*(v + 1)*(v + 2)
Let 16/7*x**2 - 18/7*x**4 + 2/7 - 20/7*x**3 + 20/7*x = 0. Calculate x.
-1, -1/9, 1
Let x(k) = 8*k**3 + 2417*k**2 + 4198*k - 1132. Let l(d) = -9*d**3 - 2418*d**2 - 4197*d + 1149. Let f(v) = 4*l(v) + 3*x(v). Factor f(p).
-3*(p + 2)*(p + 200)*(4*p - 1)
Suppose -89*v + 123*v + 3 = 3. Let m(o) be the second derivative of 0*o**3 + v*o**2 + 0 + 1/4*o**4 + 3/20*o**5 - 29*o. Factor m(l).
3*l**2*(l + 1)
Let a = -144 + 303. Suppose a*k = 162*k - 6. Factor 0*y**3 + 2/7*y**4 - 4/7*y**k + 2/7 + 0*y.
2*(y - 1)**2*(y + 1)**2/7
Let 0 - 1/7*k**2 + 1/7*k**4 + 163/7*k**3 - 163/7*k = 0. What is k?
-163, -1, 0, 1
Let o be 1/(10/(-24)*(-351)/195). Suppose 2*m = -4*m - 4*m. What is d in m + o*d**3 + 8*d + 20/3*d**2 = 0?
-3, -2, 0
Let j be 980/(-95) - (-4 - 8). Let 8/19 + 14/19*u**2 - j*u = 0. What is u?
2/7, 2
Let q = -17124 + 17124. Factor q + 2/9*n**2 - 44/9*n.
2*n*(n - 22)/9
Suppose 0 = 158*g + 10*g - 185 - 18 - 133. What is x in 52/3 + 2/3*x**g - 10*x = 0?
2, 13
Let s = -42 - -42. Suppose -3*j + 5*b + 2 + 29 = s, 3*b = 3*j - 21. Find m, given that 15*m**2 - j + 10*m**3 - 5 + 7 - 15*m**4 - 10*m = 0.
-1, 0, 2/3, 1
Let j(q) = 0*q**2 + q - 9 + 5 + 3*q**2 - q**3 + 12*q**2. Let m be j(15). Determine s, give