*3 - 64*b - 13*b**3 - 12*b**4 - b**5 - 96*b**2 = 0. What is b?
-4, -2, 0
Factor 8*b**2 - 15/2*b**3 + 2*b**4 - 1 - 3/2*b.
(b - 2)*(b - 1)**2*(4*b + 1)/2
Let v be 1/(-4*(-4)/32). Let p be 0*(-1 + v) + 384/160. Determine i, given that -6/5*i**4 + 3*i**3 - p*i - 3/5*i**5 + 6*i**2 - 24/5 = 0.
-2, -1, 1, 2
Factor 2*n**2 - 6*n**2 + 52 - n**2 + 7*n**2 + 30*n.
2*(n + 2)*(n + 13)
Let a(m) = 118*m**2 + 44*m + 7. Let v(x) = 0*x + 0*x - 7*x**2 + 1 + 6*x**2. Let g(j) = -a(j) + 3*v(j). Factor g(p).
-(11*p + 2)**2
Let a be 5/(490/(-21))*(-2344)/(-6). Let p = a + 84. Factor 0 - 2/7*y**2 + 0*y + 4/7*y**3 - p*y**4.
-2*y**2*(y - 1)**2/7
Let y be (0/(-4) - 12) + 3. Let a be 3/y + 20/6. Determine v so that -3*v + 8*v**2 + a*v**5 - 2*v**2 - 5*v**4 - v**4 = 0.
-1, 0, 1
Let j(z) = 2*z**3 - z. Let n(l) = -13*l**3 + 12*l**2 + 7*l. Let g(b) = 21*j(b) + 3*n(b). Let g(s) = 0. What is s?
-12, 0
Suppose -11*y + 2 + 20 = 0. Factor -10 - 10 + 0*v**2 + 9*v**y - 4*v**2.
5*(v - 2)*(v + 2)
Let o = 3099586/65 + -47684. Let y = -20/13 + o. Factor -y*z**3 - 2/5*z**4 + 0 + 0*z**2 + 0*z.
-2*z**3*(z + 1)/5
Let g = -23361 - -23361. Determine x so that 0 + 3/5*x**4 - 18/5*x**2 - 3*x**3 + g*x = 0.
-1, 0, 6
Let f = 2491 + -2491. Let u(o) be the second derivative of -4*o**3 - 7*o - 9/10*o**5 - 13/4*o**4 - 3/2*o**2 + f. Determine h, given that u(h) = 0.
-1, -1/6
Suppose -5*c + 60 = -3*c. Let j be 50/c + (-1)/(-3). Suppose -3 + 12*t - 4*t + j*t**2 - 4*t**2 - 5 = 0. What is t?
2
Suppose -64/11 + 30/11*x**5 - 2*x**4 - 156/11*x**3 + 144/11*x + 104/11*x**2 = 0. What is x?
-2, -1, 2/5, 4/3, 2
Find q such that 0*q**2 + 1/3*q**5 + 3*q + 0 + 0*q**4 - 10/3*q**3 = 0.
-3, -1, 0, 1, 3
Let v be (9/27)/(1/27). Let i be ((-117)/104)/(4/((-48)/v)). Factor -15/2*q + 3/2*q**3 - 3 - 9/2*q**2 + i*q**4.
3*(q - 2)*(q + 1)**3/2
Factor 23/5*n + 1/5*n**2 + 0.
n*(n + 23)/5
Let s(a) be the second derivative of a**6/75 - 3*a**5/5 + 277*a**4/30 - 52*a**3 + 676*a**2/5 - 107*a. Factor s(u).
2*(u - 13)**2*(u - 2)**2/5
Let z(p) be the second derivative of -p**6/360 + p**5/20 - 3*p**4/8 + 5*p**3/6 + 20*p. Let o(h) be the second derivative of z(h). Factor o(j).
-(j - 3)**2
Suppose -s + f + 2 = -0, -11 = -s - 2*f. Suppose 4*p = 21 - s. Let 1 + l**2 + p*l**3 + l**2 - 1 + 2*l**4 = 0. Calculate l.
-1, 0
Let l(r) be the first derivative of -r**3/4 - 39*r**2/8 - 221. Factor l(n).
-3*n*(n + 13)/4
Suppose -11*s - 16*s = -135. Let o(r) be the third derivative of 0*r**3 + 0 - 5*r**2 + 1/66*r**4 + 1/330*r**s + 0*r. Factor o(u).
2*u*(u + 2)/11
Let n(y) = -3*y - 18. Let j be n(-6). Factor j*v + 2*v - 2*v**4 - 4*v**4 + 5*v**4 + 3*v**2.
-v*(v - 2)*(v + 1)**2
Let w(i) be the second derivative of 3/20*i**5 + 0 + i**4 + 0*i**2 + 2*i**3 + 30*i. Factor w(o).
3*o*(o + 2)**2
Let g be 1*(-2 + 4) + 2. Suppose -g*o = 7 - 27. Factor -21*a**3 - 3*a**o + 3*a**4 + 21*a**3.
-3*a**4*(a - 1)
Let r(o) be the second derivative of -2*o**7/189 - 4*o**6/45 + 7*o**5/45 - o - 55. Find i, given that r(i) = 0.
-7, 0, 1
Let u(z) = 4*z - 37. Let s be u(19). Suppose 23*p**4 - s*p**2 + p**4 + 16*p**3 + 21*p**2 - 6*p + 4 = 0. What is p?
-1, -2/3, 1/2
Let s be ((-74610)/21)/((-26)/14)*1. Let c = 1914 - s. Find q, given that 0 + c*q - 14/13*q**3 + 38/13*q**2 = 0.
-2/7, 0, 3
Let o(q) = -q**2 - 5*q + 17. Let n be o(-7). Let 2*m - 4*m**2 + n*m - m = 0. Calculate m.
0, 1
Suppose 4*w = -2*w - 18. Let l(d) = 3*d**3 + 3*d**2. Let o(n) = n**3 + 1. Let s(t) = w*l(t) + 12*o(t). Factor s(v).
3*(v - 2)**2*(v + 1)
Find z, given that -247*z**2 + 123*z**3 - 213*z**3 - 17*z**4 + 787*z**2 - 1190*z + 735 + 22*z**4 = 0.
1, 3, 7
Determine c, given that 2/19*c**4 - 8/19 + 16/19*c - 4/19*c**3 - 6/19*c**2 = 0.
-2, 1, 2
Let k = 128 + -126. Suppose -2*z + 4 = k*l, 3*l = -2*z + 2*l + 6. What is u in 1/2 + 5/4*u**5 + 5/2*u**2 - 9/4*u - 3*u**z + u**3 = 0?
-1, 2/5, 1
Let z(j) be the second derivative of 0 + 6*j + 0*j**4 - 1/5*j**5 + 0*j**2 + 2/3*j**3. Determine w, given that z(w) = 0.
-1, 0, 1
Factor -4 - 10*b + 4*b**2 + 4*b**3 - 8*b - 2*b**3 + 24*b - 8*b.
2*(b - 1)*(b + 1)*(b + 2)
Let t(l) = l + 4. Let w be t(5). Let x be 6/(-3)*-7 + -1. Factor u**3 + 0*u + 8*u - x*u**2 + w*u**3 - 11*u**2.
2*u*(u - 2)*(5*u - 2)
Let r be (-487)/56*-4 - -4. Let x = -77/2 + r. Factor 2/7*w - 2/7 - x*w**3 + 2/7*w**2.
-2*(w - 1)**2*(w + 1)/7
Let s(w) be the first derivative of w**5/15 - 2*w**3/3 + 4*w**2/3 - w - 652. Determine t so that s(t) = 0.
-3, 1
Let a(c) be the third derivative of c**7/70 + 11*c**6/20 + 14*c**5/5 - 11*c**4/4 - 57*c**3/2 + 171*c**2. Suppose a(y) = 0. What is y?
-19, -3, -1, 1
Let r(s) be the first derivative of -11 + 34/3*s**3 - 3/4*s**2 - 63/8*s**4 - s. Find g, given that r(g) = 0.
-1/7, 2/9, 1
Suppose -260*q = -259*q - i - 2, 0 = q - 3*i - 6. Factor -9/7*y**4 + 0 + q*y - 16/7*y**3 + 4/7*y**2.
-y**2*(y + 2)*(9*y - 2)/7
Let p be ((-360)/(-630))/(4/21). Factor 144/5*w**2 + 484/5*w**4 + 0*w + 0 + 528/5*w**p.
4*w**2*(11*w + 6)**2/5
Let i = -3811 - -11447/3. What is t in 38/3*t**2 - 8/3 + 16/3*t + i*t**3 = 0?
-2, -1, 2/7
Let l = 828505/6015558 + -2/43591. Let x = 2/69 + l. Suppose 1/6*w**2 - x*w + 0 = 0. Calculate w.
0, 1
Solve -2/11*t + 12/11 - 2/11*t**2 = 0.
-3, 2
Let x be 2/(-5*(3 - 141/45)). Suppose 5*s + 23 = u, 0*u + x*u + 2*s - 1 = 0. Factor -q**2 - 3/2*q - 1/6*q**u + 0.
-q*(q + 3)**2/6
Let t(o) = -45*o**2 - 1664*o + 662. Let h(u) = -112*u**2 - 4160*u + 1656. Let c(b) = 5*h(b) - 12*t(b). Factor c(d).
-4*(d + 42)*(5*d - 2)
Factor -1157*l**3 + 20*l**2 + 579*l**3 + 583*l**3 - 20*l - 5*l**4.
-5*l*(l - 2)*(l - 1)*(l + 2)
Let o(f) be the first derivative of f**6/255 + f**5/85 - 34*f + 10. Let k(r) be the first derivative of o(r). Factor k(s).
2*s**3*(s + 2)/17
Let s(y) = 9*y**2 + 3*y + 2. Let o be s(-1). Let q be (o/(-66))/(110/15 + -8). Factor -4/11 + q*r**4 + 10/11*r - 6/11*r**2 - 2/11*r**3.
2*(r - 1)**3*(r + 2)/11
Factor -66*a + 2*a**2 - 2*a**2 + 1083 - 48*a + 3*a**2.
3*(a - 19)**2
Suppose 14/3*g**4 - 74/3*g**3 - 70/3*g + 118/3*g**2 + 4 = 0. What is g?
2/7, 1, 3
Let p(l) be the third derivative of l**9/9072 + l**8/2016 + l**7/1512 - l**4/3 - 5*l**2. Let k(z) be the second derivative of p(z). Factor k(v).
5*v**2*(v + 1)**2/3
Factor -194/5*r**2 - 2/5*r**4 + 528/5*r - 288/5 - 44/5*r**3.
-2*(r - 1)**2*(r + 12)**2/5
Let o(x) = 2*x**5 - x**2 - 1. Let u(w) = 2191*w**5 + 1863*w**4 - 312*w**3 + 10*w**2 - 2. Let f(b) = -2*o(b) + u(b). Factor f(d).
3*d**2*(d + 1)*(27*d - 2)**2
Let a be (-90)/30*(-10)/6. Let o(i) be the third derivative of 0 + 1/480*i**a + 0*i + 11*i**2 + 0*i**3 - 1/960*i**6 - 1/1680*i**7 + 1/192*i**4. Factor o(p).
-p*(p - 1)*(p + 1)**2/8
Determine u, given that -6 - 9/2*u**3 + 27/2*u + 15*u**2 = 0.
-1, 1/3, 4
Suppose -3*n - 3*d + 15 = 0, -25 = -5*n + 2*d + 3*d. Factor 1050*u**2 + 2*u**3 - n*u - 1054*u**2 + 3*u + 4.
2*(u - 2)*(u - 1)*(u + 1)
Let a(w) be the third derivative of 7*w**2 + 0*w + 1/10*w**5 + 1/40*w**6 + 1/8*w**4 + 0 + 0*w**3. Solve a(p) = 0.
-1, 0
Let u(t) be the first derivative of -5*t**4/9 - 136*t**3/27 + 94*t**2/9 - 32*t/9 - 25. Factor u(v).
-4*(v - 1)*(v + 8)*(5*v - 1)/9
Let c(v) = 2*v - 14. Suppose -5*n - z + 38 = z, n = -4*z + 4. Let m be c(n). Suppose 10*q**m + 3*q**4 - 4*q**2 - 2*q**2 - 7*q**2 = 0. What is q?
-1, 0, 1
Let a(t) = t**3 + 14*t**2 - 2*t - 22. Let p be a(-14). Let j be 1 + 5/(-6) - (-2)/p. Find q such that 0*q - j*q**2 + 0 - 5/4*q**3 = 0.
-2/5, 0
Let z(h) be the first derivative of h**5/10 + 77*h**4/8 + 481*h**3/2 - 1521*h**2/4 - 6. Factor z(d).
d*(d - 1)*(d + 39)**2/2
Let g(u) be the third derivative of u**5/30 + 5*u**4/6 + 7*u**3 + 305*u**2. Find z such that g(z) = 0.
-7, -3
Let c = 11 + -10. Let b(v) = -v + 1. Let q(j) = -5*j**2 - 10*j + 10. Let x(h) = c*q(h) - 10*b(h). Factor x(u).
-5*u**2
Let z = 4135 + -45443/11. Find i, given that 16/11*i**2 - 2/11*i**3 + 36/11 - z*i = 0.
2, 3
Let h(i) = -i**4 + i**3 + i**2 + 2*i + 3. Let a(n) = 4*n**4 - 4*n**3 - 4*n**2 - 6*n - 10. Let k(w) = 6*a(w) + 20*h(w). Factor k(b).
4*b*(b - 1)**2*(b + 1)
Let x = -34/71 + -22334/213. Let d = -105 - x. Factor d*n**4 - 2/3*n + 0 - 4/3*n**3 + 5/3*n**2.
n*(n - 2)*(n - 1)**2/3
Let r(p) be the third derivative of p**6/60 + 9*p**5/20 - 5*p**4/8 - 7*p**3/3 - 3*p**2 + 9. Find k, given that r(k) = 0.
-14, -1/2, 1
Suppose 0*u - 2/5*u**2 + 0 = 0. What is u?
0
Let u(n) = 32*n + 292. Let k be