-1, 1, 200
Let c(d) be the second derivative of -4 + 3/8*d**3 - 1/16*d**4 - 10*d + 3/2*d**2. Factor c(v).
-3*(v - 4)*(v + 1)/4
Let u(i) be the first derivative of -i**5/210 - i**4/42 - 20*i**2 - 11. Let w(j) be the second derivative of u(j). Suppose w(z) = 0. What is z?
-2, 0
Suppose -12*x = b - 22, -8468 = 4*x + 3*b - 8438. Suppose 1/3*g**2 + 0 - 1/3*g**x + 2/3*g = 0. What is g?
-1, 0, 2
Let c(p) = p**2 - 2*p. Let o(m) = -2*m**3 + 8*m**2 - 10*m + 2. Let t(v) = 2*c(v) - o(v). Let t(a) = 0. Calculate a.
1
Let s(a) be the third derivative of 0*a + 1/4*a**4 + 1/120*a**6 - 65*a**2 - 7/60*a**5 + 0*a**3 + 0. Find n such that s(n) = 0.
0, 1, 6
Let s(f) = 84*f**2 + 23320*f - 3089964. Let j(z) = 8*z**2 + 2120*z - 280906. Let v(o) = 32*j(o) - 3*s(o). Solve v(c) = 0 for c.
265
Let d(f) be the first derivative of 4*f**5/5 - 3*f**4 - 4*f**3 + 22*f**2 - 24*f + 22. Determine b, given that d(b) = 0.
-2, 1, 3
Find y, given that 242 - 2/3*y**3 - 374/3*y + 50/3*y**2 = 0.
3, 11
Let k be (2/(-10))/((621/30)/(-23)) - (-54694)/2952. Factor -81/4*y**2 + 3/4*y**3 + 153/4*y - k.
3*(y - 25)*(y - 1)**2/4
Let x be -2 + (3 - (-8937 + -8)). Let -6720*l - 492*l**4 - 596*l**2 + 494*l**4 + 1924*l**2 + x + 112*l**3 - 1746 = 0. What is l?
-30, 2
Suppose 20*n = 27*n - 168. Let g(i) = -12*i + 291. Let l be g(n). Factor -1/5*x**l + 1/5 + 1/5*x - 1/5*x**2.
-(x - 1)*(x + 1)**2/5
Let f(x) = 6*x**2 - 26*x - 28. Let k(v) = -38 + 30 + 105*v + 120 - 25*v**2. Let d(m) = -9*f(m) - 2*k(m). Suppose d(w) = 0. Calculate w.
-1, 7
Let n(r) be the first derivative of 148 + 0*r + 1/6*r**4 - 14/3*r**2 + 26/9*r**3. Determine d, given that n(d) = 0.
-14, 0, 1
Let o be ((-4)/(-6))/(0 + 18/216). Let k be 8/2*(-14)/(-8). Factor -k*p**3 + o*p**2 + 3*p**3 - 3*p**4 - 5*p**4 + 4*p**5.
4*p**2*(p - 2)*(p - 1)*(p + 1)
Suppose 0 = 28*j + 3*j + 186. Let n be j/(-4) - (6 + (-2 - 5)). Suppose 5/2*a + 0*a**2 - n*a**3 - 5/4*a**4 + 5/4 = 0. What is a?
-1, 1
Let v(f) be the third derivative of -2/15*f**5 + 0*f + 0 + 0*f**3 - 1/6*f**6 + 4/3*f**4 - 2/105*f**7 - 71*f**2. Suppose v(m) = 0. Calculate m.
-4, -2, 0, 1
Let t = 9/97 - 1163/13580. Let y(m) be the third derivative of 0 + 25/14*m**3 + t*m**5 + 0*m + 5/28*m**4 - 15*m**2. Factor y(i).
3*(i + 5)**2/7
Let p(q) be the second derivative of 2 + 7*q - 19/21*q**3 - 22/35*q**5 + 4/35*q**6 + 2/7*q**2 + 7/6*q**4. Solve p(g) = 0.
1/6, 1/2, 1, 2
Let h be ((-368)/(-12))/(-30 - 480/(-15)). Determine u, given that 14*u**2 + 30*u - 2/3*u**3 + h = 0.
-1, 23
Let i(f) be the second derivative of 0 - 44/15*f**3 - 1/30*f**4 + 151*f - 484/5*f**2. Factor i(t).
-2*(t + 22)**2/5
Suppose 4*c - 6*c + 3*i = 3, 4*i - 21 = -3*c. Suppose -4*h**c + 631*h + 6 + 1 - 651*h + 1 + 16*h**2 = 0. What is h?
1, 2
Let h(x) be the first derivative of 1089*x**4/8 + 2156*x**3 - 395*x**2 + 24*x - 14106. Find u such that h(u) = 0.
-12, 2/33
Let g = -245745/826 + 5/413. Let h = g - -299. Find x, given that h*x**2 - 3/2*x + 1/2 - 1/2*x**3 = 0.
1
Suppose -412 = -4*l - 2*n, -6*n - 502 = -5*l - 2*n. Suppose 72*t**3 - 44*t**2 + 84*t + 2*t**5 - 20*t + 20*t**4 + 54*t**2 + l*t**2 = 0. Calculate t.
-4, -2, 0
Let j(p) = 2*p**2 - 13*p - 8. Let s be j(8). Let c(t) = -4*t**2 + 16*t - 12. Let m(h) = h - 1. Let q(l) = s*m(l) - c(l). Determine f so that q(f) = 0.
-1, 1
Determine t, given that 649/10*t - 323/10*t**2 - 65/2 - 1/10*t**3 = 0.
-325, 1
Let n(i) be the first derivative of 1/3*i**4 + 0*i**3 + 21*i - 25 + 0*i**2 - 1/5*i**5. Let v(d) be the first derivative of n(d). Solve v(p) = 0.
0, 1
Suppose 4*i + l = 11, i = 346*l - 349*l - 11. Let q(o) be the second derivative of 8/5*o**2 + 16/5*o**3 + 3*o**i + 40*o + o**5 + 0. What is k in q(k) = 0?
-1, -2/5
Let w(d) be the third derivative of d**7/840 + d**6/60 + d**5/16 - d**4/12 - 2*d**3/3 + 122*d**2 - d. Factor w(j).
(j - 1)*(j + 1)*(j + 4)**2/4
Let a(r) be the second derivative of r**5/10 + 11*r**4/6 - 26*r**3/3 + 282*r - 2. Let a(q) = 0. What is q?
-13, 0, 2
Let w(j) = 3*j**4 + 391*j**3 + 1159*j**2 + 1159*j + 380. Let r(u) = 7*u**4 + 783*u**3 + 2317*u**2 + 2318*u + 757. Let g(n) = 6*r(n) - 15*w(n). Solve g(k) = 0.
-386, -1
Let x(s) be the first derivative of -1/44*s**4 - 7/33*s**3 + 209 - 15/22*s**2 - 9/11*s. Solve x(z) = 0 for z.
-3, -1
Let g(v) be the first derivative of v**4/6 - 142*v**3/9 + 1472*v**2/3 - 14336*v/3 + 2172. Factor g(j).
2*(j - 32)**2*(j - 7)/3
Let g be 1*3*(6/4)/(136 + -130). Factor 0*j**2 + 0 + 1/4*j**5 - j**4 + g*j**3 + 0*j.
j**3*(j - 3)*(j - 1)/4
Let d be 2592/(-20) + -6 - (-24)/(-30). Let y = d - -1369/10. Factor 0*a - 1/4*a**4 - y*a**3 + 0 - 1/4*a**2.
-a**2*(a + 1)**2/4
Let i(s) = -146*s + 9056. Let h be i(62). Let m(d) be the second derivative of 1/72*d**h + 0*d**2 - 1/9*d**3 + 0 - 38*d. Determine r, given that m(r) = 0.
0, 4
Factor -4444*d - 1040 - 43*d**2 + 4004*d + 18*d**2 + 5*d**3.
5*(d - 13)*(d + 4)**2
Factor -165/2*z**3 + 3/4*z**4 - 4455*z + 9399/4*z**2 + 2187.
3*(z - 54)**2*(z - 1)**2/4
Let l(t) be the third derivative of -t**8/336 + t**7/21 - 31*t**6/120 + 11*t**5/30 + 4*t**4/3 - 16*t**3/3 + 7*t**2 + 9. Determine a so that l(a) = 0.
-1, 1, 2, 4
Let h(v) = -2*v - 17. Let m be h(-10). Suppose -4*d + 10 = -2*g - 6, m*g = -6. What is w in -w**d - 48*w - 2*w**2 + w**2 - 5*w**2 - 64 - 6*w**2 = 0?
-4
Let d(w) = 3*w**5 + 6*w**4 - w**3 - 22*w**2 + 34*w. Let r(f) = -2*f**5 - 2*f**3 - f**2 + f. Let s(x) = -d(x) - 2*r(x). Factor s(o).
o*(o - 3)**2*(o - 2)*(o + 2)
Let h be 2/12 - (-444)/792. Let s = 5288/7 - 58154/77. Factor -h*p - 6/11 - s*p**2.
-2*(p + 1)*(p + 3)/11
Let y(v) be the third derivative of v**5/15 - 224*v**4/3 + 100352*v**3/3 - 299*v**2 - 4*v. Determine j, given that y(j) = 0.
224
Let u(l) be the second derivative of l**5/90 + l**4/36 - 2*l**3/9 + 103*l**2/2 + 54*l. Let f(z) be the first derivative of u(z). Let f(x) = 0. Calculate x.
-2, 1
Let b(x) be the second derivative of -x**7/210 - 3*x**6/50 + x**5/100 + 3*x**4/20 - 10*x - 145. Find a, given that b(a) = 0.
-9, -1, 0, 1
Let w(y) be the third derivative of y**6/120 + 89*y**5/60 - 15*y**4/4 - 537*y**2. Factor w(d).
d*(d - 1)*(d + 90)
Let d = -38 - -43. Find m, given that 15*m**2 - d*m**3 - 10*m - 307 + 307 = 0.
0, 1, 2
Let n(j) be the second derivative of j**5/5 + 3*j**4/2 - 6*j**3 + 345*j + 2. Determine u, given that n(u) = 0.
-6, 0, 3/2
Let z(o) be the first derivative of 3*o**4/16 + 63*o**3 + 753*o**2/8 - 1697. Solve z(c) = 0.
-251, -1, 0
Let f be (6 - 3/(-3)) + -3. Find g, given that 3*g - 10*g**3 - f*g**2 + 9*g**3 - 11*g + 5*g**3 = 0.
-1, 0, 2
Let a be (18 + (-2059)/116)/((-2)/8) - -5. Determine z so that -1/5*z**a + 8/5 - 3/5*z**3 + 2/5*z**2 + 12/5*z = 0.
-2, -1, 2
Let a = -514517 + 514519. Suppose -4*s**a - 2/5*s**4 + 0*s + 14/5*s**3 + 0 = 0. What is s?
0, 2, 5
Let d(m) be the third derivative of -8*m**6/75 - 8*m**5/15 + 143*m**4/30 + 242*m**3/5 - 2*m**2 - 5*m + 198. Let d(k) = 0. Calculate k.
-11/4, 3
Let w = 281 + -276. Factor 425*z**w - 21*z**4 + 6*z**2 + 3*z - 10*z**3 - 221*z**5 - 213*z**5 - 1.
-(z + 1)**3*(3*z - 1)**2
Let c(s) = 42*s + 213. Let t be c(-5). Find q such that -3*q**3 - t*q**5 - 118*q - 119*q - 119*q - 6*q**4 + 356*q = 0.
-1, 0
Let t(m) = 3690*m + 11094. Let d be t(-3). Let k(g) be the third derivative of d*g**2 + 1/36*g**4 + 0*g**3 + 0 + 0*g + 1/30*g**5. Factor k(p).
2*p*(3*p + 1)/3
Let s(h) = -2*h**2 - 9*h + 38. Let n be s(-7). Solve -44*j + 135*j**3 - 46*j**n - 46*j**3 - 24*j**2 - 47*j**3 - 24 = 0.
-3, -2, -1
Let i(m) be the third derivative of m**7/5880 + 23*m**6/1680 + m**4/8 + m**3/2 - 182*m**2. Let o(u) be the second derivative of i(u). Factor o(b).
3*b*(b + 23)/7
Let j(r) = 5 + 3*r - 6 + 1. Let i be j(3). Determine v, given that 15*v**3 + 19*v**3 + 0 - i*v**2 + 3 - 40*v**3 = 0.
-1, 1/2
Let s be (-39)/(-52)*616/84. Factor 45/2*z**2 - 81/2*z + 1/2*z**4 + 27 - s*z**3.
(z - 3)**3*(z - 2)/2
Suppose -25 = 5*d, 6*x - 3*d = 9*x + 6. Determine i so that -3 - 4*i**2 - 1 + 18*i + 21*i**2 + 7*i**x + 16*i**2 - 4 = 0.
-4, -1, 2/7
Suppose -12*n + 2583 = 16371. Let u = n + 8051/7. Factor 2/7*f**2 + 0 + u*f.
2*f*(f + 4)/7
Let o(p) = 4*p**3 - 8*p**2 - 4*p + 20. Let b be 18/(-3) - (11 - 16). Let l(w) = 2*w**2 + 1. Let z(r) = b*o(r) + 4*l(r). Solve z(a) = 0.
-1, 1, 4
Let p = 68466 + -342329/5. Factor p*q**3 - q + 2/5*q**2 - 6/5.
(q - 2)*(q + 1)*(q + 3)/5
Let v(u) be the se