i, -2*i + 4*i + 27 = -3*p. Let g = i - -14. Factor 0 - 2/9*o**4 + 2/9*o**g + 0*o**3 + 0*o.
-2*o**2*(o - 1)*(o + 1)/9
Let h be 1 - 10/7 - 1950/(-875). Find k such that -h*k - 3/5*k**2 - 6/5 = 0.
-2, -1
Let y(s) be the third derivative of -1/3*s**3 + 0*s + 1/30*s**5 + 5*s**2 + 0 - 1/60*s**6 + 1/12*s**4. Factor y(i).
-2*(i - 1)**2*(i + 1)
Suppose -i + 3 - 1 = 0. Let o(j) be the second derivative of 0*j**4 + 0 - 1/147*j**7 + 0*j**3 + 0*j**2 - 1/70*j**5 + i*j - 2/105*j**6. Solve o(q) = 0.
-1, 0
Let r(o) = -20*o**2 + 85*o + 205. Let c(u) = u**2 - u - 1. Let g(x) = -25*c(x) - r(x). Let g(l) = 0. What is l?
-6
Let b(y) = y**2 - 5*y + 4. Let m be b(3). Let a = 6 + m. Factor -k + k**2 + a*k**2 - 4*k**2.
k*(k - 1)
Let x(t) be the third derivative of t**5/210 + t**4/14 + 3*t**3/7 - 12*t**2. Solve x(z) = 0.
-3
Let q(p) be the third derivative of -p**6/135 - p**5/90 + p**4/12 - 2*p**3/27 + 9*p**2. Determine m so that q(m) = 0.
-2, 1/4, 1
Let o = -23 - -47/2. Factor c**2 + 0*c - 1/6 - 4/3*c**3 + o*c**4.
(c - 1)**3*(3*c + 1)/6
Factor -2/3 - 2*s - 2/3*s**3 - 2*s**2.
-2*(s + 1)**3/3
Let t(w) = -2*w**2 + 4*w + 2. Let p = 10 + -6. Let b(h) = 2*h**2 - 4*h - 3. Let n(s) = p*b(s) + 5*t(s). Factor n(a).
-2*(a - 1)**2
Factor j**5 - 18 + 12 + 6.
j**5
Suppose 0 = -0*x - 8*x + 616. Let f = x + -382/5. Factor -6/5 - f*w**2 + 9/5*w.
-3*(w - 2)*(w - 1)/5
Let t(c) be the third derivative of -1/240*c**5 - 1/48*c**4 + 0 - 7*c**2 + 1/480*c**6 + 0*c**3 + 0*c. Find f such that t(f) = 0.
-1, 0, 2
Suppose -3*c - 10 = 4*g, 2*g + 6 = 5*c + 3*g. Suppose -3*y**c - 1 - 3 + y**2 + 0*y**2 - 6*y = 0. What is y?
-2, -1
Let t(a) be the third derivative of a**5/210 + 5*a**4/84 + 2*a**3/7 - 11*a**2. Factor t(o).
2*(o + 2)*(o + 3)/7
Let q(y) be the second derivative of -y**4/18 + y**3/9 - 7*y. Factor q(o).
-2*o*(o - 1)/3
Factor 0*u + 0*u**4 + 8/5*u**2 + 0 + 12/5*u**3 - 4/5*u**5.
-4*u**2*(u - 2)*(u + 1)**2/5
Let z(n) be the first derivative of 3*n**4/4 - 9*n**3 + 45*n**2/2 + 75*n - 2. Find l, given that z(l) = 0.
-1, 5
Factor 10/9*s**3 + 2/9 + 22/9*s**2 + 14/9*s.
2*(s + 1)**2*(5*s + 1)/9
Let v(j) be the third derivative of j**6/540 - 10*j**2. Factor v(s).
2*s**3/9
Let t = -64 + 67. Find r, given that t + 75/4*r**2 + 15*r = 0.
-2/5
Let w(n) be the second derivative of n**4/12 + n**3/6 + 5*n. Find i, given that w(i) = 0.
-1, 0
Let s(t) be the first derivative of 4/3*t**3 - 1/6*t**6 - 1/5*t**5 - 4*t**2 + 0*t + 3/2*t**4 + 9. Factor s(z).
-z*(z - 2)*(z - 1)*(z + 2)**2
Solve 3/4*h**2 + 3/2*h**3 - 3/2*h + 0 - 3/4*h**4 = 0.
-1, 0, 1, 2
Find v, given that 1/10*v - 1/10*v**3 - 1/10 + 1/10*v**2 = 0.
-1, 1
Suppose 0 = 4*g - 3*x - 15, -2*x + 5*x + 15 = -4*g. Factor g*v**3 - 3*v - v**3 + 4*v.
-v*(v - 1)*(v + 1)
Suppose 12 = -2*x + 8*x. Let g(z) be the third derivative of 0*z + 1/210*z**5 + 1/84*z**4 + 2*z**x + 0*z**3 + 0. Factor g(y).
2*y*(y + 1)/7
Let r(b) = -35*b**4 + 15*b**3 + 5*b**2 - 5*b - 5. Let q(j) = -53*j**4 + 22*j**3 + 7*j**2 - 7*j - 7. Let x(z) = 5*q(z) - 7*r(z). Factor x(i).
-5*i**3*(4*i - 1)
Let r = -30 + 33. Let q(j) be the third derivative of -1/24*j**4 + 1/60*j**5 + 0*j + 1/120*j**6 + 0*j**r - 1/210*j**7 + 0 - j**2. Factor q(u).
-u*(u - 1)**2*(u + 1)
Let r(j) be the third derivative of 0*j + j**3 + 0 + 1/6*j**4 + 1/90*j**5 - j**2. Factor r(f).
2*(f + 3)**2/3
Let m be 4/(-26) - 44/(-286). Let i = -14 + 33/2. Find h, given that -i*h**3 + 3/2*h**4 + m + 1/2*h**2 + 1/2*h = 0.
-1/3, 0, 1
Let c(b) be the third derivative of -b**6/120 + b**5/30 + 14*b**2. Factor c(n).
-n**2*(n - 2)
Let u = -398/55 + 106/11. Let u*b**2 + 3/5*b**3 + 9/5*b + 0 = 0. Calculate b.
-3, -1, 0
Suppose 3*p + 1 + 2 = 0. Let l be 2 + 3/(-6) + p. Factor 0 + 1/2*r**3 - l*r + 0*r**2.
r*(r - 1)*(r + 1)/2
Let n(u) = -8*u**2 + 49*u - 53. Let q(o) = -12*o**2 + 73*o - 79. Let m(f) = -7*n(f) + 5*q(f). Factor m(d).
-2*(d - 4)*(2*d - 3)
Let o(q) = q**3 + 11*q**2 + q + 11. Let g be o(-11). Let v(b) = -10*b - 18. Let f be v(-2). Factor 6/7*j**f + g + 10/7*j**3 - 4/7*j.
2*j*(j + 1)*(5*j - 2)/7
Let j = 122 + -118. Let g(u) be the first derivative of 5*u**4 + 6*u**3 + 2*u**2 + j + 6/5*u**5 + 0*u. Factor g(n).
2*n*(n + 1)*(n + 2)*(3*n + 1)
Let c(g) = 2*g + 30. Let o be c(-13). Let a(s) be the first derivative of -2/3*s**3 + 2 + 0*s**2 - 5/4*s**o + 0*s. Factor a(k).
-k**2*(5*k + 2)
Let r(p) = 20*p**4 - 50*p**3 + 32*p**2 + 16*p + 8. Let t(f) = 13*f**4 - 33*f**3 + 21*f**2 + 11*f + 5. Let y(v) = -5*r(v) + 8*t(v). Factor y(g).
2*g*(g - 2)**2*(2*g + 1)
Let v(p) be the first derivative of p**6/48 + p**5/10 + 3*p**4/16 + p**3/6 - p**2/2 + 4. Let b(c) be the second derivative of v(c). Factor b(g).
(g + 1)**2*(5*g + 2)/2
Let f = -13/101 - -2441/18180. Let z(u) be the third derivative of 0 - u**2 + f*u**5 + 1/24*u**4 + 0*u + 1/9*u**3. Factor z(j).
(j + 1)*(j + 2)/3
Let j(h) be the second derivative of -h**7/14 + h**6/10 + 3*h**5/20 - h**4/4 - 11*h. Find k, given that j(k) = 0.
-1, 0, 1
Suppose -7 = -4*b + 5. Factor 9 + 15*f - 14*f**3 + 3*f**2 + 3*f**3 + 8*f**b.
-3*(f - 3)*(f + 1)**2
Let r(d) be the first derivative of -1/27*d**6 + 2/27*d**3 + 2 - 2/45*d**5 + 1/18*d**4 + 0*d + 0*d**2. Factor r(l).
-2*l**2*(l - 1)*(l + 1)**2/9
Let o = -8 + 65. Let i be (o/(-21) + 3)/1. Factor i*q**4 - 4/7*q + 0*q**2 + 4/7*q**3 - 2/7.
2*(q - 1)*(q + 1)**3/7
What is a in 16/15*a**2 + 2/15*a**4 + 2/3*a**3 + 8/15*a + 0 = 0?
-2, -1, 0
Let s = -9071/48 + 189. Let l(i) be the second derivative of 0 - 1/120*i**6 + 0*i**2 - s*i**4 + 0*i**3 + 1/40*i**5 + i. Factor l(k).
-k**2*(k - 1)**2/4
Suppose 5*w + 7*w = 14*w. Solve -2/11*v + w + 2/11*v**2 = 0.
0, 1
Let m be 70/15 - (-2)/6. Let -6*l**2 - m*l**3 + 5*l**5 + 7*l**2 + 2*l**4 - 3*l**2 = 0. Calculate l.
-1, -2/5, 0, 1
Let h(y) be the first derivative of y**6/60 - y**5/30 + y**2 - 2. Let x(r) be the second derivative of h(r). Determine w, given that x(w) = 0.
0, 1
Let k(l) = -2*l**4 - 4*l + 10*l**4 - 4*l - l**3 - 25*l**2 - l + 9. Let w(h) = 4*h**4 - 12*h**2 - 4*h + 4. Let p(n) = 4*k(n) - 9*w(n). Solve p(o) = 0.
-2, 0, 1
Suppose 56*t = 52*t + 16. Solve -1/2*k + 0 + 3/2*k**2 - 3/2*k**3 + 1/2*k**t = 0 for k.
0, 1
Let u(y) be the second derivative of -y**6/300 - 2*y**5/75 - y**4/15 - y**3/2 - 3*y. Let p(i) be the second derivative of u(i). Let p(f) = 0. Calculate f.
-2, -2/3
Let h(u) be the first derivative of u**4 - 4*u**3 + 4*u**2 + 10. Solve h(j) = 0 for j.
0, 1, 2
Let v(a) = 6*a**3 - 6*a**2 + 4. Let h(g) = g**3 - g**2 + 1. Let d(t) = 4*h(t) - v(t). Factor d(k).
-2*k**2*(k - 1)
Let c(w) be the second derivative of 35*w**7/6 + 91*w**6/2 + 487*w**5/4 + 605*w**4/4 + 280*w**3/3 + 30*w**2 - 22*w. Let c(p) = 0. What is p?
-3, -1, -2/7
Suppose 2*o = o + 4. Let x(s) be the third derivative of 4/75*s**5 + 0 + 2*s**2 + 0*s + 1/100*s**6 + 2/15*s**3 + 7/60*s**o. Find c such that x(c) = 0.
-1, -2/3
Let p(d) be the first derivative of -1/3*d**2 - 1 - 1/2*d**3 - d - 1/9*d**4. Let x(k) be the first derivative of p(k). What is i in x(i) = 0?
-2, -1/4
Suppose 8*d = 12*d. Let a(r) be the second derivative of 0*r**2 - 1/48*r**4 + 3*r + 0 + 0*r**5 + d*r**3 + 1/120*r**6. Solve a(g) = 0.
-1, 0, 1
Suppose -6*b**2 + 12*b**2 - 5*b**2 - 1 = 0. What is b?
-1, 1
Factor 26*a - 4*a**2 + 12*a - 18*a + 24.
-4*(a - 6)*(a + 1)
Suppose 5*b + 4 + 12 = 4*i, 4*b + 4 = i. Suppose m - 3*x = -8, 4*x = -b + 16. Find h such that -2*h**2 + 3*h**4 + h**2 - 2*h**m = 0.
-1, 0, 1
Let g(w) = w**2 - 6*w + 3. Let m be g(6). Let t be (-3)/(-1) - (-1 - -2). Factor -z**t + z**5 - 3 + z**4 + 3 - z**m.
z**2*(z - 1)*(z + 1)**2
Let c(t) be the first derivative of 3*t**4/8 - t**3/2 - 3*t**2/4 + 3*t/2 - 2. Solve c(a) = 0 for a.
-1, 1
Let t(l) be the second derivative of l**7/2940 + l**6/420 + l**5/140 + l**4/84 - l**3/3 - l. Let o(m) be the second derivative of t(m). Factor o(r).
2*(r + 1)**3/7
Let o = 15 - -12. Let -5*n**2 + n**2 + o*n - 17*n**2 - 6 = 0. What is n?
2/7, 1
Let s(x) be the third derivative of x**8/448 - 3*x**7/280 + 3*x**6/160 - x**5/80 - 9*x**2. Factor s(t).
3*t**2*(t - 1)**3/4
Let h be ((-8)/(-6))/(2/6). Suppose -2*n = -4*n + h. Let n*b**4 + 3*b**2 - b**3 - 2*b**2 - 3*b**2 - b**3 + 2*b**5 = 0. What is b?
-1, 0, 1
Let h be 2 + 4/20*-8. Let a(d) be the second derivative of h*d**5 - 7/3*d**4 + 0 + 4/5*d**6 - 1/3*d**7 + d + 2*d**2 + d**3. Suppose a(m) = 0. Calculate m.
-1, -2/7, 