n be (16/(-10))/((-6)/15). Suppose 2*w - 4*w**2 - 2*w**3 + 3*w**3 + n - 3*w**3 = 0. What is w?
-2, -1, 1
Let p(b) be the first derivative of b**7/42 + b**6/30 - b**5/20 - b**4/12 + b + 3. Let c(s) be the first derivative of p(s). Factor c(g).
g**2*(g - 1)*(g + 1)**2
Let o(q) be the third derivative of -q**6/360 + q**5/120 + q**4/12 + q**3/3 - 2*q**2. Let j(y) be the first derivative of o(y). Factor j(d).
-(d - 2)*(d + 1)
Let r(i) = i**2 + 12*i + 22. Let x be r(-10). Find g such that -2/5 - 2/5*g**x - 4/5*g = 0.
-1
Let j = -31 + 34. Let h(u) be the third derivative of 2*u**2 + 0*u + 0 - 1/6*u**j + 0*u**4 + 1/60*u**5. Let h(c) = 0. What is c?
-1, 1
Let x be 4/(10/(-5)) - -4. Factor -4/3*i + 4/3 - i**x.
-(i + 2)*(3*i - 2)/3
Let v(p) be the first derivative of -p**7/840 + p**6/180 + p**5/120 - p**4/12 + 2*p**3 + 5. Let u(w) be the third derivative of v(w). Factor u(r).
-(r - 2)*(r - 1)*(r + 1)
Let t be (8/(-4) - -2)/(1 + -3). Suppose 0 + t*b**3 + 2/5*b**4 + 0*b - 2/5*b**2 = 0. What is b?
-1, 0, 1
Let y(k) = -3*k**2 + 13*k - 16. Let o be y(11). Let n = o - -2598/11. Solve 0*x**2 + 0 + 0*x + 2/11*x**5 - 4/11*x**4 + n*x**3 = 0 for x.
0, 1
Let z be (8 - 12)*3/(-18). Determine l so that 2/3*l**2 - 4/3*l + z = 0.
1
Let m = 6674/5 + -1330. Factor 0 - m*k**4 + 4/5*k**2 + 0*k - 14/5*k**5 - 6/5*k**3.
-2*k**2*(k + 1)**2*(7*k - 2)/5
Let o = 7 + 13. Suppose -2*y = -4*y + o. Solve 0 - y*c**3 - 8/3*c**5 + 14/3*c**2 - 2/3*c + 26/3*c**4 = 0.
0, 1/4, 1
Let w(a) be the first derivative of -a**9/13608 + a**8/7560 + a**7/3780 - a**6/1620 + a**3/3 - 2. Let t(s) be the third derivative of w(s). Factor t(k).
-2*k**2*(k - 1)**2*(k + 1)/9
Factor -13/3*z**2 + 2*z**3 - 4/3 - 1/3*z**4 + 4*z.
-(z - 2)**2*(z - 1)**2/3
Let s(l) = -3*l**2 - 1. Let c be s(-1). Let r = c + 4. Determine z, given that -3*z**4 + 5*z**4 - 2*z**2 + r*z**2 - 2*z**5 + 2*z**3 = 0.
-1, 0, 1
Let j = 55 + -54. Factor -j - 5/4*r**2 + 25/4*r**3 - 4*r.
(r - 1)*(5*r + 2)**2/4
Suppose 3*j = -2*j + 4*z, 5*z = 4*j. Let p(k) be the third derivative of 1/96*k**4 + 1/12*k**3 - 1/240*k**5 + j + 0*k - k**2. Factor p(u).
-(u - 2)*(u + 1)/4
Let b be (-1)/(-1) + 2/2. Let x = -976/5 + 198. Suppose x*m + 18/5*m**b - 4/5 = 0. What is m?
-1, 2/9
Let v(p) be the third derivative of -p**7/840 + p**6/90 + p**5/40 + p**4/8 + 6*p**2. Let i(a) be the second derivative of v(a). Factor i(c).
-(c - 3)*(3*c + 1)
Let q(n) be the second derivative of 1/6*n**4 - 2*n**2 - 3*n + 1/60*n**5 + 2/3*n**3 + 0. Let y(j) be the first derivative of q(j). Factor y(p).
(p + 2)**2
Let m(h) be the second derivative of h**4/4 - 3*h**3/2 - 6*h**2 + h - 4. Solve m(f) = 0.
-1, 4
Let d(l) be the third derivative of -l**8/224 - l**7/70 + l**5/20 + l**4/16 - 68*l**2. What is y in d(y) = 0?
-1, 0, 1
Suppose 9*d - 87 = 48. Suppose 25/2*x**2 + 9/2 - d*x = 0. What is x?
3/5
Let r(m) be the second derivative of 0 + 5/21*m**3 + 2/7*m**2 - 1/14*m**4 - 9*m. Factor r(p).
-2*(p - 2)*(3*p + 1)/7
Factor -14/3*a + 4/3 - 4/3*a**2 + 14/3*a**3.
2*(a - 1)*(a + 1)*(7*a - 2)/3
Let w(c) be the third derivative of 1/105*c**7 - 1/30*c**5 + 0 + 2*c**2 + 1/12*c**4 + 0*c**3 - 1/60*c**6 + 0*c. Factor w(d).
2*d*(d - 1)**2*(d + 1)
Factor 0 + 2/19*r**3 + 0*r - 2/19*r**2.
2*r**2*(r - 1)/19
Solve -7*u**3 + 14*u**3 - 3*u - 10*u**3 + 6*u**2 = 0 for u.
0, 1
Let f = -895/14 + 133/2. Suppose 4/7 + f*r**2 - 22/7*r = 0. What is r?
2/9, 1
Let y = -16 - -21. Suppose u = -n - 5, -4*u + 0*n = -y*n - 25. What is l in -5/4*l**3 + 0*l + 1/2*l**2 + u = 0?
0, 2/5
Factor -14 + k**3 + 2*k**2 + 14.
k**2*(k + 2)
Factor 4/3 + 2/3*d - 4/3*d**2 - 2/3*d**3.
-2*(d - 1)*(d + 1)*(d + 2)/3
Factor -6 + 0*t**3 - 2*t**3 - 132*t**2 - 14*t + 122*t**2.
-2*(t + 1)**2*(t + 3)
What is n in 0 + 0*n**2 - 6/11*n**4 + 30/11*n**3 + 0*n = 0?
0, 5
Let l(f) = -3*f**2 - 2*f + 1. Let i(d) = -4*d**2 - d. Let y(g) = 4*i(g) - 5*l(g). Suppose y(v) = 0. What is v?
1, 5
Let c(y) = -y**2 - 5*y + 6. Let w be c(-6). Let a(q) = 3*q**2 + 36*q + 2. Let x be a(-12). Factor -18*j**3 - j**2 - 14*j**4 + w*j**2 - 3*j**x.
-2*j**2*(j + 1)*(7*j + 2)
Suppose -11 = 3*f - 20. Let r(c) be the first derivative of 3/4*c**4 + 0*c**5 - 1/6*c**6 + 0*c**2 + 0*c - 2/3*c**3 + f. Factor r(p).
-p**2*(p - 1)**2*(p + 2)
Let 2/11*c**2 + 0 + 0*c + 2/11*c**3 = 0. What is c?
-1, 0
Let n be 3 - (4 + -1)/3. Suppose -n*r - r = 0. Let r - 6/7*f**2 - 4/7*f**3 + 4/7*f = 0. Calculate f.
-2, 0, 1/2
Let v(n) be the second derivative of -n**6/30 + 13*n**5/100 - n**4/15 - 2*n**3/15 - 7*n. Suppose v(p) = 0. Calculate p.
-2/5, 0, 1, 2
Let w be 1 - (-22 - (-1 - -1)). Suppose 5*m = -2*z - w, -6*m - 20 = -2*m. Factor 1 + z + 2*d**2 + 3*d - d**2.
(d + 1)*(d + 2)
Let l(b) be the third derivative of 0*b**5 + 3*b**2 + 0*b + 0*b**3 + 1/1344*b**8 + 0*b**7 + 0 + 0*b**4 + 0*b**6. Factor l(q).
q**5/4
Let s(j) be the third derivative of -j**6/900 + j**5/90 - 7*j**4/180 + j**3/15 + 3*j**2. Factor s(v).
-2*(v - 3)*(v - 1)**2/15
Solve -2*p**4 + 6*p**4 + 0*p - 8*p**2 + 5*p + 4*p**5 - p - 8*p**3 + 4 = 0 for p.
-1, 1
Let r(f) be the third derivative of 1/3*f**3 + 4/105*f**7 + 0 + 1/2*f**5 - 13/60*f**6 + 2*f**2 + 0*f - 7/12*f**4. Solve r(x) = 0.
1/4, 1
Suppose -2*b + 3*h + 10 = 3, -b - 2*h = 0. Factor -2*a**2 + 4*a**3 - 4 + 3*a**4 - b*a**3 - 3*a + a**5 + 3.
(a - 1)*(a + 1)**4
Let u(w) be the third derivative of -w**5/360 + w**3/36 + w**2. Factor u(n).
-(n - 1)*(n + 1)/6
Let m(n) be the third derivative of n**8/714 + n**7/1785 - n**6/255 - n**5/510 + 13*n**2. What is z in m(z) = 0?
-1, -1/4, 0, 1
Let j = -11 - -16. Determine r so that -2*r + j*r - r**2 - 2*r = 0.
0, 1
Let y(z) be the third derivative of -z**5/240 - z**4/96 + z**3/4 + 18*z**2. Find r such that y(r) = 0.
-3, 2
Let a = 1/196 + 191/980. Find u, given that 1/5*u**5 + a*u - 2/5*u**2 + 1/5*u**4 - 2/5*u**3 + 1/5 = 0.
-1, 1
Suppose 0*k - 3*k - 2*g = -6, -5*k + 5*g = -35. Determine o so that 4*o + 0*o - k*o + o**2 = 0.
0
Let s(h) = -4*h**2 + 5*h + 2. Let g = 7 - 5. Let w(d) = 3*d**2 - 4*d - 1. Let q(n) = g*s(n) + 3*w(n). Factor q(p).
(p - 1)**2
Let j(w) be the first derivative of 6 + 1/6*w**4 - 1/15*w**5 + 0*w - 1/9*w**3 + 0*w**2. Factor j(f).
-f**2*(f - 1)**2/3
Let v be (-14)/(-4)*(-204)/(-119). Factor 24*p + v + 21/2*p**2.
3*(p + 2)*(7*p + 2)/2
Let z(j) be the third derivative of -j**6/540 + 4*j**5/135 - 4*j**4/27 - 38*j**2 - 2*j. Suppose z(h) = 0. Calculate h.
0, 4
Let h be 4/16 + -3 + 3. Factor 0 - r**2 - h*r + 5/4*r**3.
r*(r - 1)*(5*r + 1)/4
Suppose -4*d = -5 - 3. Determine o so that 2/5*o**3 + 0 + 2/5*o**d - 2/5*o**4 - 2/5*o = 0.
-1, 0, 1
Let w(s) be the second derivative of -6*s + 2/3*s**6 + 0 + 8/5*s**5 + 2/21*s**7 + 4/3*s**4 + 0*s**2 + 0*s**3. Find f such that w(f) = 0.
-2, -1, 0
Let k = -703 + 703. Solve k*n + 2/7 - 2/7*n**2 = 0 for n.
-1, 1
Let z(i) be the first derivative of i**3/2 - 3*i**2 - 11. Factor z(u).
3*u*(u - 4)/2
Let c(q) = -21*q - 24. Let g(d) = d**2 + 20*d + 25. Let s(p) = 2*c(p) + 3*g(p). Factor s(o).
3*(o + 3)**2
Let j(s) = -8*s + 123. Let y be j(15). Solve k - y*k**4 - k**3 + 11/3*k**2 - 2/3 = 0.
-1, -2/3, 1/3, 1
Suppose 2/3 + 4/9*j - 8/9*j**3 - 10/9*j**2 = 0. Calculate j.
-1, 3/4
Let d(i) be the third derivative of 0*i**3 + i**2 + 1/42*i**4 - 1/210*i**6 + 0 + 0*i + 0*i**5. Find o such that d(o) = 0.
-1, 0, 1
Let w(o) be the second derivative of -3*o**5/140 + o**3/14 - 5*o. Factor w(i).
-3*i*(i - 1)*(i + 1)/7
Let s(v) be the second derivative of 7*v**6/20 - 13*v**5/40 - v**4/2 + v**3/3 - 16*v. Solve s(y) = 0.
-2/3, 0, 2/7, 1
Let s(r) = 4*r**5 + 6*r**4 + 8*r**3 + 4*r**2 + 2*r - 2. Let p(t) = 5*t**5 + 6*t**4 + 9*t**3 + 5*t**2 + 3*t - 3. Let q(f) = -2*p(f) + 3*s(f). Factor q(u).
2*u**2*(u + 1)**3
Suppose -4*a - 2 = -18. Suppose -n + 5 + 3 = a*d, 2*n = -4*d + 8. Factor -2*s - s**d + s + 0*s**2.
-s*(s + 1)
Let n(j) be the first derivative of -j**5/10 + j**3/3 - j + 4. Let l(v) be the first derivative of n(v). Solve l(x) = 0 for x.
-1, 0, 1
Suppose -n - 13 = -3*u, -4*n + 0 = 5*u + 1. Determine k, given that -19*k**2 - u + 17*k**2 + 3 + 4*k = 0.
0, 2
Let l(y) = 4*y**5 - y**4 + y**3 - 9*y**2 - 5*y + 5. Let u(x) = -4*x**5 + 8*x**2 + 4*x - 4. Let j(g) = -4*l(g) - 5*u(g). Let j(c) = 0. What is c?
-1, 0, 1
What is x in 10/7*x**5 + 8/7*x**2 + 4/7*x**4 + 8/7*x + 0 - 30/7*x**3 = 0?
-2, -2/5, 0, 1
Let t(o) be the third derivative of 0*o +