e of 21*k**2 + 1/180*k**5 + 0 + 0*k + 1/36*k**4 + 1/18*k**3. Suppose c(o) = 0. What is o?
-1
Let w = 618 - 616. Let r(x) be the second derivative of -1/66*x**4 + 1/33*x**3 - 10*x + 0 - 1/110*x**5 + 1/11*x**w. Solve r(o) = 0.
-1, 1
Let y(d) be the first derivative of -d**3/4 - 21*d**2/8 + 125. Factor y(x).
-3*x*(x + 7)/4
Solve -1/2*r**2 + 1/4*r**4 - 3/4*r**3 - 2 + 3*r = 0 for r.
-2, 1, 2
Let g be 358/(-42) - (-10)/(-70). Let l = g - -148/15. Factor l + 27/5*y + 6*y**2 + 9/5*y**3.
3*(y + 1)*(y + 2)*(3*y + 1)/5
Let f(c) be the second derivative of -11/6*c**4 - 6/5*c**5 + 4*c**2 + 4*c**3 + 7/15*c**6 + 0 + 11*c. Determine p so that f(p) = 0.
-1, -2/7, 1, 2
Let j(c) = 6*c + 30. Suppose -3*s - 9 = 0, -18 = 5*x - 4*s - 5. Let y be j(x). Factor 2/13*m**4 + 0*m**3 + 0*m + 0 - 2/13*m**5 + y*m**2.
-2*m**4*(m - 1)/13
Suppose 9*h + 77 - 320 = 0. Let n be (-655)/(-105) - 45/h. Factor n*u**2 - 34/7*u + 2*u**3 - 12/7.
2*(u - 1)*(u + 3)*(7*u + 2)/7
Let f(u) be the first derivative of 2*u**5/25 + u**4/10 - u**3/15 - 10*u - 8. Let h(g) be the first derivative of f(g). Factor h(v).
2*v*(v + 1)*(4*v - 1)/5
Suppose -604/5*l**2 + 526/5*l**3 + 48/5 + 136/5*l - 132/5*l**4 = 0. What is l?
-2/11, 2/3, 3/2, 2
Let s(g) = -12*g**4 + 9*g**3 - 4*g**2 + 2*g - 2. Let r(n) = -6*n - 35*n**3 + 17*n**2 + 47*n**4 + 13 - 4 - 3*n. Let t(z) = 2*r(z) + 9*s(z). Factor t(v).
-v**2*(2*v - 1)*(7*v - 2)
Let x be 31/42 - (9 + 177/(-21)). Let n(g) be the second derivative of 2*g + 0 + g**2 - x*g**4 + 0*g**3. Solve n(h) = 0.
-1, 1
Let f(r) be the third derivative of r**9/70560 + r**8/8820 + r**7/2520 + r**6/1260 - 11*r**5/60 - 6*r**2. Let o(p) be the third derivative of f(p). Factor o(t).
2*(t + 1)**2*(3*t + 2)/7
Let a(u) be the first derivative of -2*u**3/21 + 32*u/7 - 29. Find g such that a(g) = 0.
-4, 4
Suppose -14*n - 78 = -40*n. Let v(x) be the second derivative of -9/20*x**5 - 7/40*x**6 + 1/4*x**4 + 0*x**n - 5*x + 0*x**2 + 0. Find g, given that v(g) = 0.
-2, 0, 2/7
Let f(y) be the first derivative of 33*y**5/5 + 18*y**4 + 4*y**3 - 221. Factor f(q).
3*q**2*(q + 2)*(11*q + 2)
Suppose -2*s = -6, -2*a + 3*a - 31 = 4*s. Suppose 0 = -3*b + a + 53. Factor -12*i**3 + 25*i - 32*i - 21*i + 8 + b*i**2.
-4*(i - 1)**2*(3*i - 2)
Suppose 0 + 2/5*g**4 + 2/15*g**5 - 14/15*g**3 - 2*g**2 + 12/5*g = 0. What is g?
-3, 0, 1, 2
Suppose 0 = d - v, 4*d + 132*v - 16 = 128*v. Factor 5/4*u**d + 45/4 + 15/2*u.
5*(u + 3)**2/4
Suppose 129*o = -h + 127*o + 16, -o + 11 = h. Suppose 0 + 4/3*q - h*q**2 + 14/3*q**3 = 0. What is q?
0, 2/7, 1
Suppose -2*s = -3*o + 136, 0 = -s - 3*o + 8 - 76. Let f be s/85 + (-64)/(-55). Find n, given that -2/11*n**2 - f*n + 0 = 0.
-2, 0
Suppose -3*o + 72 = 4*c, 3*c + c + o - 72 = 0. Let -48*y - 7*y**2 + c*y**2 + 33*y**2 - 8*y**3 + 8 - 44 = 0. Calculate y.
-1/2, 3
Let z be -9*(-4)/12 - 1. Suppose -12 = -5*l - z*b, -4*b - 24 = -l - l. Let 2/9*r**l + 0*r**2 + 0 + 2/3*r**3 - 8/9*r = 0. Calculate r.
-2, 0, 1
Let q be ((-6)/(-4))/(4/8) - 1. Factor 6*h - 5*h**q - 7 + 4 + 2*h**2.
-3*(h - 1)**2
Find o, given that 26*o**4 - o**5 + 5*o**3 - 16 - 43*o**2 - 21*o**4 - 40*o + 18*o**2 = 0.
-1, 4
Let y(q) be the second derivative of -q**4/42 - 8*q**3/21 - q**2 - 63*q. Factor y(f).
-2*(f + 1)*(f + 7)/7
Let x(y) be the first derivative of -5*y**3/3 + 125*y + 193. Determine m, given that x(m) = 0.
-5, 5
Let r(s) be the third derivative of s**6/780 + s**5/30 - 7*s**4/78 + 534*s**2. Determine i, given that r(i) = 0.
-14, 0, 1
Let p(z) = 3*z**2 + 9*z + 6. Let k(g) = 1 + 5*g - 12*g + 8*g. Let w be 1/2 + 26/(-4). Let v(f) = w*k(f) + p(f). Factor v(h).
3*h*(h + 1)
Let o be 1 - (-34 + 39 - 7*1). Let w(c) be the first derivative of 3 - 1/2*c**2 - 1/3*c**o + 2*c. Factor w(v).
-(v - 1)*(v + 2)
Suppose 16 = 5*a - 4. Suppose 3*w + 9 = 3*h, -h + 5*w - 17 = -a*h. Factor -16 + 2*k**3 + 16 - k**h + 3*k**2.
-k**2*(k - 3)*(k + 1)
Let p(o) be the third derivative of 0 + 0*o**3 + 0*o - 1/315*o**7 + 0*o**4 - 1/45*o**5 - 7*o**2 + 1/60*o**6. Let p(k) = 0. What is k?
0, 1, 2
Suppose -2*n = -0*n - 4. Factor 7*r + 8 + 6*r**n + 0*r + 9*r.
2*(r + 2)*(3*r + 2)
Suppose 42 = 4*z - 2*m + 36, -2*z - 5*m + 9 = 0. Factor 2/7*b**z - 8/7*b + 6/7.
2*(b - 3)*(b - 1)/7
Let d(b) be the second derivative of -1/13*b**2 - 4/273*b**7 + 0 + 2/13*b**3 - 4/39*b**4 - 1/65*b**5 + 3/65*b**6 - 18*b. Determine z so that d(z) = 0.
-1, 1/4, 1
Solve 99*s**2 - 36 - 99/2*s**3 - 42*s + 15/2*s**4 = 0.
-2/5, 2, 3
Let g = 5 - 1. Suppose 5*b - 2 = g*b. Factor 2/9*t - 4/9*t**b + 2/9*t**3 + 0.
2*t*(t - 1)**2/9
Let q(b) be the first derivative of -b**3/3 + 18*b**2/7 - 5*b/7 - 71. Solve q(a) = 0 for a.
1/7, 5
Let p be 2/3*(-13 + 459/34). Let a(m) be the second derivative of 0*m**3 - p*m**4 + 0*m**2 - 4/5*m**5 + 0 + 11*m. Solve a(u) = 0.
-1/4, 0
Let i(h) be the third derivative of -h**5/210 + h**4/28 - 2*h**3/21 + 14*h**2 + 3*h. Solve i(c) = 0.
1, 2
Let h(v) be the first derivative of -v**7/3780 - v**6/1620 - 2*v**3/3 + 18*v + 42. Let y(u) be the third derivative of h(u). Factor y(q).
-2*q**2*(q + 1)/9
What is g in g**3 + 12*g - g - 605 - 756*g**2 + 773*g**2 = 0?
-11, 5
Let n(o) = o + 6. Let f be n(-6). Let i be -1 - -21 - (4 + f). Factor 2*t**2 - t**2 + 6*t - 4*t - 12*t**3 - i*t**3.
-t*(4*t + 1)*(7*t - 2)
Let p(b) = 4*b**3 + 35*b**2 + 70*b + 3. Let c(h) = -12*h**3 - 104*h**2 - 208*h - 8. Let j(y) = 3*c(y) + 8*p(y). Factor j(n).
-4*n*(n + 4)**2
Suppose 8 = -6*g - 46. Let t be 2/6*(-3 - g). Suppose -2*f**t - 4 + 11*f - 30*f + 13*f = 0. Calculate f.
-2, -1
Suppose 9 = 5*x - 5*q + 24, x - 2*q = -7. Let i(p) be the first derivative of -x - 2*p + 3/2*p**2 - 1/3*p**3. Factor i(b).
-(b - 2)*(b - 1)
Let n = -5 + 9. Suppose n*i - 18 = -0*i - 2*q, q = -i + 7. Find p such that -21 + 2*p**2 - 6*p**2 - 18*p - 6 + p**i = 0.
-3
Let j(c) be the third derivative of 1/60*c**5 + 6*c**2 - 1/240*c**6 + 0*c**4 + 0*c + 0 + 0*c**3. Factor j(b).
-b**2*(b - 2)/2
Let w(n) be the first derivative of -2*n**3/5 + 52*n**2/5 + 72*n/5 + 53. Determine j so that w(j) = 0.
-2/3, 18
Let w(h) be the second derivative of -h**6/90 + h**5/15 - h**4/6 + 4*h**3/3 - 3*h. Let x(f) be the second derivative of w(f). Determine y so that x(y) = 0.
1
Let m(x) = -1288*x**2 - 1104*x - 217. Let u(b) = 429*b**2 + 369*b + 72. Let g(y) = 3*m(y) + 8*u(y). Factor g(o).
-3*(12*o + 5)**2
Let q = 16801/3 + -5599. Factor -6*n**2 - 22/3*n - q.
-2*(n + 1)*(9*n + 2)/3
Let r(x) be the first derivative of -6 - 2/35*x**5 + 1/14*x**4 + 0*x + 0*x**3 + 0*x**2. Solve r(s) = 0 for s.
0, 1
Let o(q) = -q**3 + 17*q**2 + 35*q + 61. Let u be o(19). Let t(k) be the first derivative of -6*k + 9/2*k**2 + k**3 + 3/5*k**5 - 9/4*k**u - 2. Factor t(a).
3*(a - 2)*(a - 1)**2*(a + 1)
Let f(c) be the third derivative of -c**6/30 - c**5/5 + 4*c**4 - 56*c**3/3 - 569*c**2. Factor f(d).
-4*(d - 2)**2*(d + 7)
Let c(a) = -a**3 - 97*a**2 - 285*a - 281. Let s be c(-94). Factor d - s - 1/4*d**2.
-(d - 2)**2/4
Let c(z) = -z**3 - 20*z**2 - 20*z - 17. Let x be c(-19). Suppose 4 - 9 = 5*p, -3*s - 4*p + x = 0. Solve 1/3*y + 1/3*y**s - 1/3*y**3 - 1/3 = 0.
-1, 1
Factor -3/4*z**4 - 15/2*z + 3*z**3 + 21/4*z**2 + 0.
-3*z*(z - 5)*(z - 1)*(z + 2)/4
Let z = 19 + -52. Let g be 22/z - (-1)/1. Determine r, given that 0*r + g*r**2 + 0 = 0.
0
Let q be -1*(-12)/2 - 1/(3/18). Suppose 0*s**3 + 2/7*s**4 + 0 + q*s + 0*s**2 = 0. What is s?
0
Let j(p) = 190*p**3 + 135*p**2 - 55. Let u(i) = 7*i**3 + 5*i**2 - 2. Let t(m) = 2*j(m) - 55*u(m). Suppose t(d) = 0. What is d?
-1, 0
Let m(n) = 0*n + 3*n**2 - 3 + 0*n. Let y(d) = 6*d**2 - d - 5. Let b be 2/(-8)*(5 - 25). Let k(l) = b*m(l) - 3*y(l). Factor k(x).
-3*x*(x - 1)
Solve 3/2*b**2 + 0 - 1/4*b**4 + 0*b - 1/4*b**3 = 0.
-3, 0, 2
Factor -56/5*v**2 - 16/5*v - 2*v**4 - 44/5*v**3 + 0.
-2*v*(v + 2)**2*(5*v + 2)/5
Let a = -6323/3 - -2108. Solve -a*j + 0 + 1/3*j**2 = 0.
0, 1
Let a(m) be the third derivative of 1/21*m**3 - 1/84*m**5 - 1/840*m**6 + 0 + 0*m + 1/490*m**7 - 10*m**2 + 1/168*m**4. Factor a(n).
(n - 1)**2*(n + 1)*(3*n + 2)/7
Let s(a) be the second derivative of 5*a**2 + 16*a + 3/4*a**5 + 25/6*a**4 + 15/2*a**3 - 1. Let s(l) = 0. What is l?
-2, -1, -1/3
Let y be ((-128)/(-72) - 2) + 2. Find x such that 4/9*x**4 + 16/9*x**3 - y*x + 4/3*x**2 - 16/9 = 0.
-2, -1, 1
Let m(i) be the third derivative of 0 + 1/180*i**6 + 0*i - 4/9*i**3 + 0*i**4 + 1/30*i**5 - 