+ 8*k**3/3 + 16*k**2/3 + 16*k/3 - 71. Suppose l(z) = 0. Calculate z.
-2
Suppose -4*k = -10*g + 7*g + 205, 100 = g + 5*k. Find y, given that 159*y**2 - 594*y**2 + 1 - 27 + 312*y - 34 + g*y**3 = 0.
2/5, 5
Suppose 0 = 12*f - 3*n - 66, 23*n - 22*n = -2*f + 2. Factor -1/3*y**f + 4/3*y - y**2 - 4/3*y**3 + 4/3.
-(y - 1)*(y + 1)*(y + 2)**2/3
Let k(n) = -20*n**3 - 80*n**2 + 116*n + 168. Let f(j) = 13*j**3 + 53*j**2 - 77*j - 112. Let o(i) = 8*f(i) + 5*k(i). Determine d, given that o(d) = 0.
-7, -1, 2
Let g(s) be the second derivative of s**5/4 + 115*s**4/6 + 400*s**3 - 2880*s**2 - s - 40. Factor g(y).
5*(y - 2)*(y + 24)**2
Let w(x) = -2*x**5 - 18*x**4 - 12*x**3 + 4*x**2 + 18. Let f be (-9)/(-3)*(2/3 - 0). Let j(m) = m**4 + m**3 - 1. Let p(b) = f*w(b) + 36*j(b). Factor p(l).
-4*l**2*(l - 2)*(l + 1)**2
Let i(u) be the second derivative of -5/12*u**4 + 8*u - 5/6*u**3 + 0 + 0*u**2. What is b in i(b) = 0?
-1, 0
Let s(m) be the first derivative of 6/19*m**2 + 18/19*m + 2/57*m**3 - 33. Factor s(f).
2*(f + 3)**2/19
Let j(u) = -u**3 - 4*u**2 + 9*u + 1. Let k be j(-6). Let x be k/((-2)/8 + 13/4). Let 7/3*w**5 - 28/3*w**2 + 8/3*w - 2*w**3 + x*w**4 + 0 = 0. Calculate w.
-2, 0, 2/7, 1
Suppose -58*w - 20 = -68*w. Let q(c) be the third derivative of 0 + 0*c + 1/735*c**7 - 1/70*c**6 - 5/42*c**4 + 2/35*c**5 - 4*c**w + 1/7*c**3. Solve q(f) = 0.
1, 3
Factor 13*c**3 - 3*c**3 - 2*c**4 - 4*c**4 + 11*c**3 - 3*c**5 - 12*c**4.
-3*c**3*(c - 1)*(c + 7)
Let t(j) = 7*j + 36. Let a be t(-5). Let d be ((-120)/224)/(a/(-12)). Find i, given that -27/7*i**3 - d*i**2 - 3/7 - 3*i = 0.
-1, -1/3
Factor 20 + 16*f + 10*f**2 - 2 - 3 - 7 + 2*f**3.
2*(f + 1)*(f + 2)**2
Factor 16/5*z**2 + 0 + 32/5*z + 2/5*z**3.
2*z*(z + 4)**2/5
Let h(w) be the first derivative of -2*w - 13/2*w**2 - 11/3*w**3 - 31. What is r in h(r) = 0?
-1, -2/11
Find i such that 14 + 34*i - 26 + 20*i**2 - 15*i**3 - 6*i**3 - 19*i**3 + 6*i**5 - 8*i**4 = 0.
-2, -1, 1/3, 1, 3
Solve -2/7*q**4 - 32/7*q**3 + 0*q - 128/7*q**2 + 0 = 0 for q.
-8, 0
Let c(y) be the third derivative of 5*y**8/112 + y**7/42 - 3*y**6/8 + y**5/4 + 5*y**4/12 + 205*y**2. Let c(t) = 0. What is t?
-2, -1/3, 0, 1
Let d(j) be the first derivative of 0*j**3 + 1/2*j**2 - 2/3*j - 3 - 1/12*j**4. Factor d(v).
-(v - 1)**2*(v + 2)/3
Let j = 39/4 - 191/20. Suppose 5*z - 15 = -4*v, 0*z + 6 = 5*v + 2*z. Find h, given that j*h**4 + 1/5*h**3 - 1/5*h**2 - 1/5*h + v = 0.
-1, 0, 1
Suppose 2*b**2 - 2/9*b**3 + 2*b + 4/9 - 2/3*b**4 = 0. Calculate b.
-1, -1/3, 2
Let q(u) be the second derivative of 4*u**6/15 - 19*u**5/10 - 61*u**4/6 - 14*u**3/3 - 222*u - 2. Suppose q(s) = 0. Calculate s.
-2, -1/4, 0, 7
Let h be (-1150)/(-14) - (-5)/(-35). Let d = h - 244/3. Determine b so that d*b - 2/9*b**3 + 0*b**2 - 4/9 = 0.
-2, 1
Let s be (2/(-6) + 369/(-27))/(-2). Suppose -2*a - s + 11 = 0. Factor 3/5*m**3 + 0*m + 0 + 3/5*m**a.
3*m**2*(m + 1)/5
Suppose 6*g - 5 = 25. Factor -q**3 + 196*q**g - 195*q**5 - q**4 + 0*q**3 + q**2.
q**2*(q - 1)**2*(q + 1)
Solve -6/11*f**4 - 6/11 + 12/11*f**2 + 2/11*f**5 - 4/11*f**3 + 2/11*f = 0.
-1, 1, 3
Let k = -9620 - -28864/3. Solve -2/3*w**3 + 4/3*w**2 + 2/3*w - k = 0.
-1, 1, 2
Let n = -15617 - -15620. Factor 1/4*a**n - 27/4*a**2 + 243/4*a - 729/4.
(a - 9)**3/4
Factor -13/6*w**2 - 47/3*w - 7/2.
-(w + 7)*(13*w + 3)/6
Factor -16*h**2 - 298*h + 4 + 143 - 18 - 978*h + 191.
-4*(h + 80)*(4*h - 1)
Suppose -2*o = 2*o + 12. Let t be -1 - (-1 - 0) - o/9. What is r in 1/6 + 1/6*r - 1/6*r**3 + t*r**4 - 1/2*r**2 = 0?
-1, -1/2, 1
Find s such that 9 - 6*s**3 - 20*s**4 - 45*s + 5*s**5 + 210*s**2 - 79 - 34*s**3 - 200 + 0*s**5 = 0.
-3, -1, 2, 3
Solve 49/4*l**4 - 15 - 787/4*l**2 + 35/2*l**3 + 107*l = 0 for l.
-5, 2/7, 3
Suppose 267 = -102*d + 573. Factor 0 + 0*n + 2/3*n**d + 2/3*n**2.
2*n**2*(n + 1)/3
Let z(y) = 5*y - 5. Let a be z(1). What is q in -3*q**2 - 3*q**4 + a*q**4 - 7*q**3 + 0*q**4 + q**3 = 0?
-1, 0
Solve -5*b**3 + 45*b + 3*b**3 - 43*b + 4*b**2 - 4 = 0 for b.
-1, 1, 2
Let g = 35 + -27. Factor g*b - b - 2*b + 0*b - b**2.
-b*(b - 5)
Let s be (0 + -1)/3 - 161588/(-105). Let a = 1545 - s. Factor -20*d**3 + 152/5*d**2 + a - 112/5*d - 4/5*d**5 + 32/5*d**4.
-4*(d - 2)**3*(d - 1)**2/5
Let r(w) be the first derivative of 1 + 8/15*w - 2/45*w**3 - 1/5*w**2. Factor r(t).
-2*(t - 1)*(t + 4)/15
Suppose 0 = 2*c + c + 288. Let r be (1 + -2)*(c/52)/4. Suppose -16/13*g**2 - 8/13*g + 0 - r*g**3 = 0. What is g?
-2, -2/3, 0
Suppose 4*w = 8, 3*w = 8*s - 13*s + 6. Let o(b) be the first derivative of -1/6*b**3 + s*b**2 + 6 + 0*b. Solve o(a) = 0.
0
Let p(q) = -27*q - 19. Let t be p(9). Let s = t - -3410/13. Factor -2/13*l**2 + s + 2/13*l.
-2*(l - 2)*(l + 1)/13
Suppose v**4 + 9*v**3 + 16*v - 25*v**3 + 2672 - 2687 + 14*v**2 = 0. What is v?
-1, 1, 15
Let y(s) be the first derivative of s**4/96 + s**3/16 - 18*s + 5. Let b(x) be the first derivative of y(x). Factor b(t).
t*(t + 3)/8
Suppose -5*f + 3*f = -62. Suppose o = -29 + f. Factor 1/3*b**4 + 0 + 0*b**3 - b**o + 2/3*b.
b*(b - 1)**2*(b + 2)/3
Let a(u) = 6*u**3 - 3*u**2 + u. Let h be a(1). Suppose -2*r + 3 = h*c - 3, 0 = -c. Factor 0*s**4 - 4/9 + 2/3*s + 4/9*s**2 - 8/9*s**r + 2/9*s**5.
2*(s - 1)**3*(s + 1)*(s + 2)/9
Let p = -923 + 928. Let g(s) be the second derivative of 1/5*s**6 - 1/2*s**4 + 0*s**2 + 1/2*s**3 + 0 + 0*s**p - 1/14*s**7 - 7*s. Let g(n) = 0. What is n?
-1, 0, 1
Let x(b) = -b**3 - 29*b**2 - 5. Let w be x(-29). Let z be 4 + 10/(w - 0). Factor 0*y - 8/7*y**z - 20/7*y**4 - 4*y**3 + 0.
-4*y**2*(y + 1)*(5*y + 2)/7
Let t = 646 + -437. What is s in 3*s**2 - 209 + t - 6*s = 0?
0, 2
Let s(g) be the second derivative of -27*g**7/14 + 93*g**6/10 - 71*g**5/4 + 67*g**4/4 - 8*g**3 + 2*g**2 + 70*g. Factor s(y).
-(y - 1)**3*(9*y - 2)**2
Let d(i) be the second derivative of -3*i**5/100 + 7*i**4/20 - 3*i**3/2 + 27*i**2/10 - 2*i + 10. Factor d(q).
-3*(q - 3)**2*(q - 1)/5
Let g = 3975/2 + -27805/14. Suppose 2/7*c**3 + 22/7*c + g + 2*c**2 = 0. What is c?
-5, -1
Let n(i) be the second derivative of i**4/30 - 4*i**3/15 + i - 8. Factor n(w).
2*w*(w - 4)/5
Let p(o) be the first derivative of -5*o**3/3 + 45*o**2/2 - 70*o - 13. Factor p(y).
-5*(y - 7)*(y - 2)
Let v(t) be the third derivative of t**5/30 - t**4/6 + 25*t**2 + 2*t. Solve v(i) = 0.
0, 2
Let t = -9 - -15. Find w, given that 0*w + 24 + 3*w**3 - 3*w - 8*w - t*w**2 - w = 0.
-2, 2
Suppose -1296*r = -1274*r - 44. Factor -10/23*u**3 + 0 - 14/23*u - 2/23*u**4 + 26/23*u**r.
-2*u*(u - 1)**2*(u + 7)/23
Let l be (-7 - 1) + (1 - 0) + 1. Let z be (-56)/70*l/8. Factor 3/5*c**2 + 0 - z*c**3 + 0*c.
-3*c**2*(c - 1)/5
Suppose -4*c + 218 - 218 = 0. Let f(h) be the first derivative of -2/45*h**5 - 1/18*h**4 + c*h - 3 + 1/9*h**2 + 2/27*h**3. Factor f(z).
-2*z*(z - 1)*(z + 1)**2/9
Let r(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - j**4 - 4*j**3/3 - 70. Factor r(q).
4*q**2*(q - 1)*(q + 1)**2
Let c = 503/12768 + 10/133. Let p(g) be the third derivative of 0*g - g**2 - 13/240*g**5 - 1/120*g**6 + 0 - c*g**4 - 1/12*g**3. Factor p(b).
-(b + 1)*(b + 2)*(4*b + 1)/4
Let o(l) be the third derivative of -1/40*l**6 + 0 - 1/20*l**5 + 0*l + 1/8*l**4 - 11*l**2 + 1/70*l**7 + 0*l**3. Solve o(g) = 0.
-1, 0, 1
Let d(o) be the third derivative of -2*o**7/525 - 9*o**6/100 - 59*o**5/150 - 3*o**4/4 - 11*o**3/15 + 7*o**2 + 23. Find b, given that d(b) = 0.
-11, -1, -1/2
Let l(j) be the third derivative of j**8/60480 - j**7/2520 + j**6/240 + 13*j**5/60 - 4*j**2. Let w(b) be the third derivative of l(b). Factor w(m).
(m - 3)**2/3
Let g be (12/(-102) - (-95)/85)*(-30)/(-4). Factor 75/4 + 3/4*a**2 + g*a.
3*(a + 5)**2/4
Suppose 2/3*s + 2/9*s**4 - 4/9 + 2/9*s**2 - 2/3*s**3 = 0. What is s?
-1, 1, 2
Let u = -1601/15 + 547/5. Suppose -5*b + 4*k + 16 = -2*b, 0 = 4*b - k - 4. Let 4/3*m**3 - u*m**2 - 4/3*m + 8/3*m**4 + b = 0. Calculate m.
-1, -1/2, 0, 1
Suppose -16*n**4 - 4802*n**3 + 4810*n**3 + 2*n**5 - 12*n + 16*n**2 + 2*n**5 = 0. What is n?
-1, 0, 1, 3
Let l(r) = -9*r**4 + 41*r**2 + 24*r + 22. Let s(f) = -f**3 - f**2 - 3. Let g(h) = l(h) + 6*s(h). Factor g(t).
-(t - 2)*(t + 2)*(3*t + 1)**2
Let v(t) be the first derivative of -t**5/16 + 5*t**4/12 + 5*t**3/8 - 45*t**2/4 + 2*t - 3. Let d(z) be the first derivative of v(z). Factor d(q).
-5*(q - 3)**2*(q + 2)/4
Suppose 0 = -5*p + 4 + 11. Suppose -p*j + 17 = -t, t = -5*j + 3*t + 28. What is d in 13*d**3 