r 10*d**5 + 30*d**4 + 80*d**2 + 10 - 45*d - 70*d**3 - 30*d**5 + 15*d**5.
-5*(d - 2)*(d - 1)**4
Solve -58/11 - 2/11*f**2 - 60/11*f = 0 for f.
-29, -1
Determine d so that -4/3*d**3 + 1/6*d**4 + 7/2*d**2 - 11/3*d + 4/3 = 0.
1, 2, 4
Let o(a) be the first derivative of 3/7*a**3 + 0*a**2 - 3/28*a**4 - 12/7*a + 27. Find f, given that o(f) = 0.
-1, 2
Let q be -2*611/(-156) + (-8 - 0) + 1. What is s in 7/6*s + 1/6*s**3 - q*s**2 - 1/2 = 0?
1, 3
Find p such that 1010*p**2 + 1100*p + 40 - 844*p**3 - 254*p**4 - 511*p**3 - 541*p**4 = 0.
-2, -2/3, -2/53, 1
Let x(g) = -16*g**5 + 48*g**4 + 440*g**3 + 932*g**2 + 596*g. Let z(f) = -f**5 - f**4 + 2*f**3 + f**2 + f. Let d(a) = x(a) - 20*z(a). Factor d(u).
4*u*(u + 1)*(u + 4)*(u + 6)**2
Let a be -6*(-4 + 3)*10/90. Determine v so that a - 8/9*v**2 - 2/9*v = 0.
-1, 3/4
Let g(a) be the third derivative of 0 + 0*a**3 - 1/24*a**4 - 1/120*a**6 - 5*a**2 + 1/30*a**5 + 0*a. Suppose g(n) = 0. What is n?
0, 1
Let i be (-1)/(2/(-5)*50/40). Factor -11 + 6*k**2 - 6*k**i - 1 - 52*k - 16*k**2.
-4*(k + 3)*(4*k + 1)
Let o(z) be the second derivative of z**5/25 + 17*z**4/90 - z**3/15 + 45*z. Determine d so that o(d) = 0.
-3, 0, 1/6
Let s(f) be the first derivative of f**6/33 - 8*f**5/55 - 3*f**4/22 + 20*f**3/33 + 8*f**2/11 - 84. Suppose s(b) = 0. What is b?
-1, 0, 2, 4
Let v be ((-8)/(-6))/((-1872)/(-1296) - (1 + 0)). Find l such that 129/2*l**2 + v + 42*l**3 + 51/2*l = 0.
-1, -2/7, -1/4
Factor -16/5*l**3 + 0 + 6/5*l**4 - 6/5*l**2 + 0*l.
2*l**2*(l - 3)*(3*l + 1)/5
Suppose 120*c = 49 + 27 + 164. Determine p, given that 1/7*p - 1/7*p**c + 0 + 1/7*p**4 - 1/7*p**3 = 0.
-1, 0, 1
Suppose -4*t - 2*h - 10 = 6, -5*t = -5*h + 35. Let z(n) = -8*n**2 + 16*n - 30. Let b(f) = 39*f**2 - 81*f + 150. Let i(g) = t*b(g) - 24*z(g). Factor i(q).
-3*(q - 5)*(q - 2)
Let i(f) = f**3 - 6*f**2 + 7*f - 3. Let a be i(5). Let h = a + -5. Factor 6*v**h - v**2 - 9*v**2 + 2*v + 2*v**3.
2*v*(v - 1)**2
Let k be (-1 + 3 + -1)/(-1). Let y(t) = -t**2 + t - 1. Let v(n) = -3 - 6*n**2 - 5 + 10*n + 0*n**3 - 2*n**3 + n**3. Let c(z) = k*v(z) + 5*y(z). Factor c(q).
(q - 1)**2*(q + 3)
Factor -4/7*t**2 - 328/7*t - 6724/7.
-4*(t + 41)**2/7
Suppose -2*a - 3 - 5 = 0, -3*a = -3*u + 39. Solve 9*j - 2*j**2 - 2*j**4 - 1 + 1 - 2 + 6*j**4 - u*j**3 = 0.
-1, 1/4, 1, 2
Factor 0 + 0*x - 134/7*x**2 + 2/7*x**3.
2*x**2*(x - 67)/7
Let p = 46 - -33. Let y = p - 79. Factor -1/3*k**5 + 7/3*k**2 + y - 2/3*k + 5/3*k**4 - 3*k**3.
-k*(k - 2)*(k - 1)**3/3
Let m(i) be the first derivative of -i**6/60 + i**4/24 + 53*i + 53. Let t(b) be the first derivative of m(b). Suppose t(q) = 0. What is q?
-1, 0, 1
Let p(q) = -q**2 + q. Let n = 13 - 9. Suppose 2 = 2*v - n. Let g(t) = -t**3 + 2*t**2 - t. Let m(k) = v*g(k) + 6*p(k). Find f such that m(f) = 0.
-1, 0, 1
Solve 122*g + 1/2*g**2 + 7442 = 0 for g.
-122
Let q(m) be the first derivative of 49*m**6/18 + 42*m**5/5 + 109*m**4/12 + 4*m**3 + 2*m**2/3 + 69. Let q(l) = 0. Calculate l.
-1, -2/7, 0
Let h(i) = -3*i**2 - 66*i + 69. Let d be h(1). What is o in 8/11*o**2 + 10/11*o**4 - 26/11*o**3 + d + 8/11*o = 0?
-2/5, 0, 1, 2
Let c = 3/152 + 271/1672. Factor 0*t - c*t**2 + 0.
-2*t**2/11
Let m(i) be the third derivative of 0 + 0*i**5 + 1/12*i**4 - 1/60*i**6 + 0*i**3 - 8*i**2 + 0*i. Factor m(n).
-2*n*(n - 1)*(n + 1)
Let o = 4095/4 + -159989/156. Let u = 11/13 - o. Find x such that 4/3*x**4 + 2/3*x**5 + 4/3 - 4/3*x**3 - u*x**2 + 2/3*x = 0.
-2, -1, 1
Let v(u) be the third derivative of 0*u + 7/300*u**5 - 1/15*u**4 - 1/600*u**6 - 8/15*u**3 + 0 - 16*u**2. Factor v(r).
-(r - 4)**2*(r + 1)/5
Let o be ((-58)/(-377))/(6/78). Factor 7/4*s - 49/8 - 1/8*s**o.
-(s - 7)**2/8
Let t = -31 - -57. Suppose -o + 6*o - 20 = 0. Determine k so that 10*k**3 - t*k**3 + 20*k**2 + 4*k**o - 12*k + 4*k = 0.
0, 1, 2
Suppose -97*c + 6 = -95*c. Suppose -4*m + 4*v = 0, 2*m - v - 16 = -c*v. Suppose -1/2*d**2 + 0*d - 1/2*d**m + d**3 + 0 = 0. What is d?
0, 1
Let b(u) = 2*u**2 + 101*u + 602. Let h(k) = 5*k**2 + 205*k + 1205. Let i(x) = 5*b(x) - 3*h(x). Determine p so that i(p) = 0.
-11
Let v(q) be the third derivative of -1/840*q**6 + 1/140*q**5 + 0*q - 1/84*q**4 + 0*q**3 + 0 + 32*q**2. Factor v(s).
-s*(s - 2)*(s - 1)/7
Let p = 6 - -6. Let g be 11/((-1)/((-4)/p)) - 3. Determine f so that -g*f**3 - 2/3*f**4 + 0 + 0*f + 0*f**2 = 0.
-1, 0
Let u(a) = -a**2 - a. Let i(o) = -7*o**2 + 8*o - 5. Suppose 8 = -3*m + g + 1, 8 = -4*m + g. Let t(l) = m*i(l) + 2*u(l). What is z in t(z) = 0?
1
Let p(j) = 103*j + 929. Let a be p(-9). Factor -4*y**3 + 8/3*y**a + 0 + 0*y**4 + 4/3*y**5 + 0*y.
4*y**2*(y - 1)**2*(y + 2)/3
Let g(u) be the first derivative of 4*u**3/3 + 2*u**2 + u - 13. Let n(m) = m**2 + m + 1. Let r(z) = -g(z) + 3*n(z). Find w such that r(w) = 0.
-2, 1
Let y(w) be the first derivative of -w**5/60 - w**4/8 - w**3/3 - 7*w**2 + 14. Let x(n) be the second derivative of y(n). Determine z so that x(z) = 0.
-2, -1
Suppose -28*l = 15*l - 172. Let x(o) be the third derivative of -1/120*o**5 + 1/96*o**l + 4*o**2 + 0*o**3 + 0*o + 0 + 1/480*o**6. Factor x(f).
f*(f - 1)**2/4
Suppose -2/9*b**4 + 0 + 2/3*b + 10/9*b**3 - 14/9*b**2 = 0. Calculate b.
0, 1, 3
Let z be 50/126 + (-14)/(-1008)*-8. What is k in 0 - 2/7*k**4 - 2/7*k + z*k**2 + 2/7*k**3 = 0?
-1, 0, 1
Let x(d) be the third derivative of -13/150*d**5 - 11/300*d**6 - 1/30*d**4 - d**2 + 0 + 0*d**3 + 6*d. Factor x(a).
-2*a*(a + 1)*(11*a + 2)/5
Let g(x) be the first derivative of x**3/5 - 381*x**2/10 - 302. Factor g(b).
3*b*(b - 127)/5
Let d(x) be the second derivative of 2*x**6/45 - 17*x**5/5 + 289*x**4/3 - 9826*x**3/9 + 44*x - 3. Find h, given that d(h) = 0.
0, 17
Let u(i) = i**2 + 8*i + 11. Let r be (-14)/(-77) + 106/22. Let m(v) = -5 + 2 + 1 + 1. Let h(n) = r*m(n) - u(n). Factor h(l).
-(l + 4)**2
Let r(m) = 10*m**3 - 55*m**2 + 130*m + 5. Let o(d) = -11*d**3 + 56*d**2 - 131*d - 6. Let g be 12/9*45/(-10). Let j(w) = g*r(w) - 5*o(w). What is a in j(a) = 0?
0, 5
Let r(f) = -6*f - 2. Let g(h) = h - 1. Let j(s) = -5*g(s) - r(s). Let m be j(-5). Suppose c**2 - 7*c**2 + 5*c**2 - c**m + 2*c = 0. Calculate c.
0, 1
Let d = 1001479/68 - 14728. Let q = -2/17 - d. Factor 1/2 - 1/4*n - q*n**2.
-(n - 1)*(n + 2)/4
Suppose -i - 2*i = 18. Let p(g) = g + 9. Let f be p(i). What is a in -3*a**4 + 3*a**2 + a**f - a**5 - 6*a**2 + 2*a**2 + 4*a**4 = 0?
-1, 0, 1
Let n(o) be the first derivative of -1/22*o**4 - 2/11*o**2 + 0*o - 15 + 2/11*o**3. Factor n(b).
-2*b*(b - 2)*(b - 1)/11
Suppose -m - 5*k + 14 = -8*k, 4*m = -3*k + 11. Let b(n) be the second derivative of 0 + 0*n**2 - 5*n + 0*n**3 + 1/70*n**m + 1/21*n**4. What is i in b(i) = 0?
-2, 0
Let g(r) be the first derivative of -r**3/2 + 3*r**2/2 + 12*r + 104. Factor g(d).
-3*(d - 4)*(d + 2)/2
Let i(n) = n**4 + n**3 - n**2 + 1. Let h(z) = 5*z**4 + 16*z**3 - 73*z**2 + 70*z - 14. Let q(u) = -5*h(u) + 10*i(u). Determine s so that q(s) = 0.
-8, 1/3, 1, 2
Let n = 27 + -23. Suppose 0*c - 2*c - n*z - 12 = 0, 0 = -2*z - 8. Factor -4/3*v - 4/3*v**c + 0.
-4*v*(v + 1)/3
Let n = -14303 + 43358/3. Let l = 151 - n. Solve -l*y**2 - 16/9*y + 2/9*y**4 - 2/3 + 0*y**3 = 0.
-1, 3
Factor -3/5*n**2 + 21/5 - 18/5*n.
-3*(n - 1)*(n + 7)/5
Let q(x) be the third derivative of -2*x**7/105 - x**6/6 - x**5/5 + 3*x**4/2 + x**2 + 43. Solve q(m) = 0 for m.
-3, 0, 1
Suppose 256/5*p**2 + 0 + 0*p + 36/5*p**4 - 192/5*p**3 = 0. Calculate p.
0, 8/3
Determine k, given that 0*k**2 - 3/2*k**5 + 1/4*k**4 + 5/4*k**3 + 0 + 0*k = 0.
-5/6, 0, 1
Let d = -116/3 + 159/4. Let j = d + -7/12. Factor j*p**2 + 1/2*p**3 + 0 + 0*p.
p**2*(p + 1)/2
Let v(l) = -l**3 - 2*l**2 - 17*l - 60. Let d be v(-3). Solve -6/11*h**2 - 2/11*h**3 + 8/11 + d*h = 0.
-2, 1
Let f = -4058 + 4060. Solve -20/7*b**3 + 2/7 - 2/7*b**5 + 10/7*b**4 + 20/7*b**f - 10/7*b = 0 for b.
1
Suppose -1 - 8 = -3*y. Suppose -3*d + d**y - 2*d**3 + 5*d**3 - d**3 = 0. What is d?
-1, 0, 1
Let w(i) = i + 1. Let p be w(1). Suppose -p*q + 10*q - 32 = 0. Let 6*z + 12*z**3 - q*z**2 - 3*z**4 - 11*z**2 + 0*z**4 = 0. Calculate z.
0, 1, 2
Find g such that 0 + 1/3*g**4 + 4/3*g**2 - 5/3*g**3 + 0*g = 0.
0, 1, 4
Suppose -6*x + m + 8 = -3*x, 5*m = -2*x - 6. Factor -3/4*s**x + 3 - 9/4*s.
-3*(s - 1)*(s + 4)/4
Let p(t) be the third derivative of t**5/30 + t**4/6 - t**3 + 40*t**2. Factor p(q).
2*(q - 1)*(q + 3)
Let w = -9 + 18. Determine f, given that 9*f - 5 + 2 + 3