Let j(m) be the first derivative of 6 + 0*m + 0*m**4 - 8/35*m**5 - 1/7*m**2 + n*m**3. Factor j(l).
-2*l*(l + 1)*(2*l - 1)**2/7
Let w = -125/364 + 4/13. Let d = 79/140 - w. Factor -6/5*k**2 + 0*k - d*k**3 + 0 + 3/5*k**4.
3*k**2*(k - 2)*(k + 1)/5
Determine b so that -2877*b**2 - 3261*b**3 + 3859*b**5 + 797 + 2275 - 195*b**4 - 3862*b**5 + 3694*b - 430*b = 0.
-32, -1, 1
Let o = 151 + -148. Find b, given that -4*b + 15*b**2 + b**3 - 9*b**3 - 7*b**2 + 4*b**o = 0.
0, 1
Suppose -4*h - 18 = -50. Find u, given that -4*u**4 + 4*u - 12*u**3 + 4*u**5 + 5 + 4*u**3 - 9 + h*u**2 = 0.
-1, 1
Determine c, given that 2/5*c**5 + 0 - 28/5*c**3 + 0*c + 0*c**2 - 26/5*c**4 = 0.
-1, 0, 14
Suppose -11*g - 9 = -31. Let q(s) be the first derivative of 4 + 4*s + 3*s**g + 2/3*s**3. Factor q(l).
2*(l + 1)*(l + 2)
Suppose -3*o - 5*u + 5 = -4*o, 4*o + u = 1. Let m be ((-20)/(-7) - 0) + -2 + o. Suppose -2/7*f**4 + m*f**2 - 8/7*f - 8/7 + 4/7*f**3 = 0. What is f?
-1, 2
Let h(z) be the first derivative of 57*z**4/16 + 115*z**3/6 + 59*z**2/2 + 2*z + 284. Determine t so that h(t) = 0.
-2, -2/57
Suppose -78*z**3 - 567*z**2 - 76*z**4 - 648*z + 1122 + 153*z**4 - 80*z**4 + 174 = 0. What is z?
-12, -3, 1
Determine r, given that 143*r**2 + 117*r**2 + 4096 - 3751*r - 4*r**3 - 601*r = 0.
1, 32
Let w be (11 + -5 + -5)*3. Suppose 3*x**3 - 8*x**2 + 5*x**2 + x**3 + 20*x**w + 12*x**4 - 6*x = 0. What is x?
-2, -1/2, 0, 1/2
Solve 101*o**4 + 23*o**5 + 37*o**5 + 188*o**4 - 16*o + 376*o**3 - 12 + 143*o**2 = 0.
-3, -1, -2/3, -2/5, 1/4
Let h(d) be the third derivative of d**6/60 + d**5/3 - 11*d**4/12 - 14*d**2 - 2*d. Let h(y) = 0. Calculate y.
-11, 0, 1
Let d(c) be the third derivative of 0 + 1/120*c**4 + 1/100*c**5 + 1/200*c**6 + 0*c**3 - 6*c**2 + 1/1050*c**7 + 0*c. Find t such that d(t) = 0.
-1, 0
Let n(i) = 4*i**5 + i**3 + 1. Let j(c) = 15*c**5 - 4*c**4 + 2*c**2 + 5*c + 6. Let b(t) = 3*j(t) - 12*n(t). What is r in b(r) = 0?
-2, -1, 1
Let g(s) be the first derivative of 5*s**4/4 - 10*s**3 + 30*s**2 - 40*s - 4. Let g(i) = 0. Calculate i.
2
Factor 921*y**2 - 4*y**3 + 20*y + 12 - 453*y**2 - 464*y**2.
-4*(y - 3)*(y + 1)**2
Suppose 4*z - 2*z - 10 = 0, -5*z = 2*q - 25. Suppose -5*a + 0*a + 10 = q. Find t, given that -2/7*t + 2/7*t**a - 2/7*t**4 + 0 + 2/7*t**3 = 0.
-1, 0, 1
Let y(w) = -w + 9. Let v be y(5). Suppose 4*l - 3*l + 4*n - 19 = 0, 10 = 2*l + n. Suppose x**4 - x + x**3 + 3 - 2*x**v - l + x**2 = 0. Calculate x.
-1, 0, 1
Let r = 61 + -59. Let q be r/(-2)*42/(-378). Solve 1/9*k**4 - q*k**3 + 0*k**2 + 0 + 0*k = 0.
0, 1
Factor 1/2*l**4 - 62 - 122*l - 13*l**3 - 147/2*l**2.
(l - 31)*(l + 1)*(l + 2)**2/2
Factor -5 - 67 - 28 + 280*q + 62*q**2 - 3*q**2 + 3*q**3.
(q + 10)**2*(3*q - 1)
Let x(t) = 155*t**4 - 645*t**3 - 1400*t**2 + 85*t. Let v(g) = -11*g**4 + 46*g**3 + 100*g**2 - 6*g. Let i(j) = 85*v(j) + 6*x(j). Factor i(w).
-5*w**2*(w - 10)*(w + 2)
Suppose -5*j = -52*m + 51*m + 39, -j - 23 = -4*m. What is v in -4*v**3 + 16/5*v**m - 12/5*v**2 - 4/5 + 4*v = 0?
-1, 1/4, 1
Let z(p) be the second derivative of p**5/40 - 19*p**4/24 + 2*p - 179. Factor z(u).
u**2*(u - 19)/2
Let m be (-2 - -4)*(-6)/(-4). Factor 5*b**m - 9*b**2 + 7*b + 2 - 4 + 0 - b**4.
-(b - 2)*(b - 1)**3
Let w(a) be the first derivative of 3/2*a**2 + 37 - 1/6*a**3 - 1/10*a**5 + 0*a - 1/2*a**4. Factor w(f).
-f*(f - 1)*(f + 2)*(f + 3)/2
Let g = -78/55 - -477/220. Let q(a) be the first derivative of -6 - 2*a**3 - 3/4*a + g*a**4 + 15/8*a**2. Determine y so that q(y) = 0.
1/2, 1
Let -4*s - 734*s**5 + 737*s**5 + 2*s**2 + 4*s + 7*s**4 - 6*s**2 = 0. What is s?
-2, -1, 0, 2/3
Let x be (7 - 0) + ((-54)/(-3))/(-6). Let n(y) be the first derivative of -5 + 1/4*y**x + 4*y - y**3 + 0*y**2. Factor n(v).
(v - 2)**2*(v + 1)
Let j(f) = 2*f**4 + f**3 - f - 1. Let i(d) = -2*d**4 + 11*d**3 + 33*d**2 - 20*d - 2. Let v(w) = -i(w) + 2*j(w). Factor v(r).
3*r*(r - 3)*(r + 2)*(2*r - 1)
Let u = -3611/7 + 518. Suppose 15/7*j - u*j**3 - 6/7*j**2 + 6/7 = 0. What is j?
-1, -2/5, 1
Suppose 0 = -2*b + 3*i + 4, 0 = -2*b + 7*b - i - 23. Suppose -b*s - 5*s = -30. Suppose 1/6*w**2 - 1/6*w**s - 1/6*w**4 + 0 + 1/6*w = 0. What is w?
-1, 0, 1
Let f(q) = 8*q**5 - 8*q**3 + 14. Let c(o) = -o**5 + o**3 - 2. Let l(y) = 21*c(y) + 3*f(y). Factor l(b).
3*b**3*(b - 1)*(b + 1)
Let l = -5113 - -35797/7. Find z such that 0*z**2 - l*z + 2/7*z**3 + 4/7 = 0.
-2, 1
Let g(f) be the third derivative of 0*f**3 + 0 - 5/6*f**4 + 34*f + f**2 - 1/12*f**5. Factor g(u).
-5*u*(u + 4)
Suppose 34*t + 81 = 43*t. Suppose 0 = -0*n + n + 5*y + 12, 3*y + t = 0. Find j, given that 0 + 14/13*j**n + 4/13*j - 18/13*j**2 = 0.
0, 2/7, 1
Let z(g) be the second derivative of -g**9/1008 + g**7/70 + 2*g**3 + 13*g. Let h(j) be the second derivative of z(j). Factor h(s).
-3*s**3*(s - 2)*(s + 2)
Let g(i) be the first derivative of -2/3*i**2 - 1/12*i**4 + 14 + 0*i - 4/9*i**3. Factor g(c).
-c*(c + 2)**2/3
What is m in 1/6*m + 1/6*m**2 + 0 = 0?
-1, 0
Factor 38*d**2 + 16*d**4 + 22*d**3 + 4*d - 54*d**2 - 26*d**3.
4*d*(d - 1)*(d + 1)*(4*d - 1)
Let c = 19054 + -19052. Solve -2/7*w**c + 0 - 8/7*w = 0 for w.
-4, 0
Let i(k) be the third derivative of 12*k**2 + 0*k + 0*k**5 + 1/240*k**6 - 1/48*k**4 + 0*k**3 + 0. Factor i(l).
l*(l - 1)*(l + 1)/2
Let k(h) be the second derivative of -5*h**4/12 + 35*h**3/6 - 15*h**2 + 412*h. Factor k(g).
-5*(g - 6)*(g - 1)
Let a be 2/9 + (-228)/54. Let b(w) = w + 7. Let r be b(a). Find g such that -6 - 4*g**2 + 12 + g**2 - r = 0.
-1, 1
Let a(g) be the second derivative of -g**5/20 + 2*g**4/3 + 2*g**3 - 72*g**2 + 87*g. Factor a(i).
-(i - 6)**2*(i + 4)
Suppose -3*d = -a + 23, -2*a = 2*a - 3*d - 47. Suppose -5*i + 7 = -a. Factor 32*j + 11*j**4 - 5*j**4 - 8*j**2 + 10*j**4 - 32*j**i - 12 + 4*j**4.
4*(j - 1)**2*(j + 1)*(5*j - 3)
Let g(t) be the first derivative of -4*t**5/5 - 7*t**4 - 68*t**3/3 - 34*t**2 - 24*t + 300. Factor g(o).
-4*(o + 1)**2*(o + 2)*(o + 3)
Let o = 97571/39030 - -2/19515. Factor 0 + 5/2*a**3 + 0*a - 5/2*a**5 + 5/2*a**2 - o*a**4.
-5*a**2*(a - 1)*(a + 1)**2/2
Let p be 1 + 5 - 15851/(-55). Let j = 295 - p. Factor -28/5*w + 8/5 + 32/5*w**2 + j*w**5 - 8/5*w**4 - 8/5*w**3.
4*(w - 1)**4*(w + 2)/5
What is n in 2/7*n**3 + 10/3*n**2 + 62/7*n - 10/3 = 0?
-7, -5, 1/3
Let j(t) = 3*t**2 - 3*t - 6. Let y(d) = -3*d**2 + 3*d + 6. Suppose 2*o - 16 = 8. Suppose -k = 3*k - o. Let l(v) = k*y(v) + 2*j(v). Factor l(n).
-3*(n - 2)*(n + 1)
Let a = 102 - 98. Factor -2*h**3 + 65*h**4 + h**3 - 66*h**a + 12*h + 8*h**2.
-h*(h - 3)*(h + 2)**2
Let j(v) be the first derivative of v**6/51 + 26*v**5/85 + 16*v**4/17 + 40*v**3/51 + 513. What is f in j(f) = 0?
-10, -2, -1, 0
Suppose 87 = 8*l + 55. Let a(b) be the third derivative of 0 - 5*b**2 - 1/12*b**3 + 1/240*b**5 + 0*b + 1/96*b**l. Factor a(i).
(i - 1)*(i + 2)/4
Factor 4*u - 108 + 42 - 62 + 59*u - 4*u**2 + 9*u.
-4*(u - 16)*(u - 2)
Let m(j) be the first derivative of j**5/20 - j**4/16 - j**3/4 + j**2/8 + j/2 + 212. Factor m(t).
(t - 2)*(t - 1)*(t + 1)**2/4
Let o(b) = 4 + b - 2 - 4 - 3. Let v be o(7). Factor -c**3 + 0 - c**2 + 2*c**v + c - 1 + 0.
-(c - 1)**2*(c + 1)
Solve -8*a + 4*a**3 + 56*a - 19*a**2 - 13*a**2 = 0.
0, 2, 6
Suppose -7*l = 6 - 6. Let j(f) be the third derivative of 1/20*f**6 + 0*f**4 + 0*f**3 + l*f**5 - 3/28*f**8 + 0*f - 7*f**2 - 1/14*f**7 + 0. Factor j(w).
-3*w**3*(3*w + 2)*(4*w - 1)
Let b be 11/(-4) - (-1)/(-4). Let t be (1 - -1)/(0 - (2 + b)). Let 0*g**t + 0 + 2/3*g**3 + 1/3*g**5 + 0*g + g**4 = 0. What is g?
-2, -1, 0
Let -160/13*k + 3200/13 + 2/13*k**2 = 0. What is k?
40
Suppose -3*p = 15*p. Let t(u) be the second derivative of 3/10*u**2 - u + p + 1/20*u**4 + 1/5*u**3. Find c, given that t(c) = 0.
-1
Let n = -50 - -201/4. Let c be -3 - 13/(-4) - (-4 + 4). Factor 1/4*o**2 + c*o - n - 1/4*o**3.
-(o - 1)**2*(o + 1)/4
Let i(l) = -l**2 - 2*l - 1. Let r be i(-1). Let v be 42/63*(-2)/(r + -4). Let 2/3 + v*g**2 + g = 0. What is g?
-2, -1
Factor 0 + 243/4*v - 30*v**4 + 12*v**5 + 135/2*v**2 - 141/4*v**3.
3*v*(v + 1)**2*(4*v - 9)**2/4
Let c(h) be the third derivative of -1/30*h**6 + 0*h + 0*h**4 + 0 + 0*h**5 + 0*h**3 - 7*h**2. Factor c(b).
-4*b**3
Let k(d) be the first derivative of -2*d**5/25 - d**4/5 + 2*d**3/15 + 2*d**2/5 + 162. Determine r so that k(r) = 0.
-2, -1, 0, 1
Factor 8/3 - u**2 + 23/3*u.
-(u - 8)*(3*u + 1)/3
Let m be (-8)/30*(7 + (-15)/2). Let i(u) be the sec