5, 3 - 13 = -t + a. Let q be 1 + (-34)/t - -3. Factor 0 - 2/9*j**3 + q*j + 0*j**2.
-2*j*(j - 1)*(j + 1)/9
Suppose -1/5*p**3 + 0 + 0*p**2 + 2/5*p**4 - 1/5*p**5 + 0*p = 0. What is p?
0, 1
Factor 337 + 2*v - 337 + 2*v**2.
2*v*(v + 1)
Let u(i) = i - 28 + 0*i + 30. Let n be u(0). Determine z so that 9*z + 5 - 4 + 3*z**n + 3 + 2 = 0.
-2, -1
Let f(w) be the second derivative of -2/15*w**6 + 0*w**2 + 0*w**5 - 4*w + w**4 + 0 + 4/3*w**3. Factor f(t).
-4*t*(t - 2)*(t + 1)**2
Suppose -3*b - d = 432, 6*d + 144 = -b + d. Let n = -428/3 - b. Factor 2*j - 4/3*j**2 - 2/3*j**5 - n*j**3 + 2*j**4 - 2/3.
-2*(j - 1)**4*(j + 1)/3
Factor 21*g - g**3 - 40*g + 22*g - 2.
-(g - 1)**2*(g + 2)
Let q be (4/(-3))/(9/(-54)). Suppose 0*j + q = 4*j. Factor -4/7*l**j + 2/7*l + 2/7*l**3 + 0.
2*l*(l - 1)**2/7
Let j be (-65)/(-225) - 4/18. Let b(p) be the second derivative of -1/2*p**2 + 4*p - 1/2*p**3 + 3/20*p**5 - 1/12*p**4 + 0 + j*p**6. Find o such that b(o) = 0.
-1, -1/2, 1
Let g(w) be the second derivative of w**7/14 - w**6/10 + 12*w. Factor g(a).
3*a**4*(a - 1)
Let -1/4*f**3 - 1/4*f**4 + 1/4*f + 3/4*f**2 - 1/2 = 0. What is f?
-2, -1, 1
Let n = -21 + 15. Let o be (n/4)/(18/(-8)). Factor -z**3 - 7/3*z - 8/3*z**2 - o.
-(z + 1)**2*(3*z + 2)/3
Determine n so that 5*n**3 + 82*n**2 + 11*n**4 + 29*n - 97*n**4 - 56*n**5 + 5*n + 17*n**3 + 4 = 0.
-1, -2/7, -1/4, 1
Let r(t) = 3*t**2 - 5*t + 8. Let w = 11 - 19. Let s(u) = 2*u**2 - 3*u + 5. Let p(i) = w*s(i) + 5*r(i). Solve p(j) = 0 for j.
-1, 0
Determine u, given that 10/11*u**3 + 0 - 14/11*u**2 + 6/11*u - 2/11*u**4 = 0.
0, 1, 3
Let i = 3 - 2. Let x be (i/(-18))/(1/(-4)). Determine t so that 2/9*t**4 + 2/3*t**2 - 2/3*t**3 + 0 - x*t = 0.
0, 1
Let n be (4 - (-28)/(-8))*6. Factor 8/5*z**2 + 0 - 6/5*z**n - 2/5*z.
-2*z*(z - 1)*(3*z - 1)/5
Let p be (-26)/169 - 49/(-65). Factor 3/5*f**3 - p*f**2 + 0 + 0*f + 3/5*f**4 - 3/5*f**5.
-3*f**2*(f - 1)**2*(f + 1)/5
Suppose -h = h - 6. Suppose 0*x + s + 10 = 5*x, 2*x - 4 = -h*s. Suppose 0*o**2 + o**3 + 2*o**3 - o**3 - 2*o**x = 0. Calculate o.
0, 1
Factor 2*n + 21 - 184*n**3 + 22*n + 178*n**3 - 39*n**2.
-3*(n - 1)*(n + 7)*(2*n + 1)
Let c(r) be the second derivative of 0*r**6 - 1/6*r**3 + 0 + 0*r**2 - r + 0*r**5 - 1/1260*r**7 + 0*r**4. Let t(g) be the second derivative of c(g). Factor t(y).
-2*y**3/3
Let l = 6 - -1. Suppose -11*k**2 - 4*k**4 - k + l*k**2 + k**5 + 6*k**3 + 2*k = 0. Calculate k.
0, 1
Let o(h) be the third derivative of -h**7/630 + h**6/360 + h**5/90 - 9*h**2. Factor o(w).
-w**2*(w - 2)*(w + 1)/3
Let b(y) be the second derivative of 0*y**6 + 1/55*y**5 + 0*y**2 + 0*y**4 - 1/33*y**3 - 2*y + 0 - 1/231*y**7. Determine r so that b(r) = 0.
-1, 0, 1
Let o(q) be the second derivative of -q**4/3 + 88*q**3/3 - 968*q**2 + 17*q. Factor o(y).
-4*(y - 22)**2
Let x(t) be the first derivative of 4 - t**3 + 2*t + 1/2*t**2. Factor x(b).
-(b - 1)*(3*b + 2)
Let s(i) be the third derivative of -5*i**8/42 - 3*i**7/7 - i**6/8 + i**5/6 - 36*i**2. What is w in s(w) = 0?
-2, -1/2, 0, 1/4
Determine v, given that -98/13*v**2 - 28/13*v - 2/13 = 0.
-1/7
Solve -7*m**2 + 15*m**2 - 4 - 5*m**2 - 2 - 3*m = 0 for m.
-1, 2
Let c = -10 - -10. Let s(g) be the third derivative of -1/12*g**4 + 0*g - 1/60*g**5 + 2*g**2 - 1/6*g**3 + c. What is h in s(h) = 0?
-1
Let i = -39/133 + 11/19. Factor -1/7 - i*m - 1/7*m**2.
-(m + 1)**2/7
Solve 9/5*b**2 + 3/5 + 3/5*b**3 + 9/5*b = 0 for b.
-1
Let x(m) be the first derivative of -m**4/2 + 2*m**3/3 - 8. Factor x(f).
-2*f**2*(f - 1)
Suppose 4 = 2*u - 0. Suppose 2*a - a - 4 = 0. Factor o**3 - o**a + 5*o**2 - 5*o**u.
-o**3*(o - 1)
Let t = -39 + 27. Let v be (-1)/t - 2/(-12). Factor -1/4*z**3 + 0*z + 0 + v*z**2.
-z**2*(z - 1)/4
Suppose 2*h + 138 = -3*i, -3*i - 58 - 77 = 3*h. Let y be i/(-28) + 2/7. Factor 2/3 - 5/3*r - 7/3*r**y.
-(r + 1)*(7*r - 2)/3
What is t in 0 + 0*t**2 + t**3 + 1/2*t**5 + 0*t + 3/2*t**4 = 0?
-2, -1, 0
Let d be (7 - 4)*(1 + (-1)/3). Find j, given that 1/3*j**d + 2/3*j + 1/3 = 0.
-1
Suppose 5*n = 4*u - 59, 3*u = 10 - 22. Let o be 1/(-2 - n/6). Factor -2/7*v + 2/7*v**o + 0.
2*v*(v - 1)/7
Let b = -1 + 4. Suppose -2*m - b = -3*m. Factor -1/5*i**m + 3/5*i + 0*i**2 - 2/5.
-(i - 1)**2*(i + 2)/5
Suppose 0 = 4*x - i + 12, 5*x + 0 = -3*i + 2. Let c be (-8 - -7) + (x - -5). What is b in 0 + 2/5*b**c + 2/5*b = 0?
-1, 0
Let z(k) be the second derivative of -5*k**4/4 + 3*k**3/2 + 3*k**2 - 5*k. Find f, given that z(f) = 0.
-2/5, 1
Let g(d) be the third derivative of d**8/840 + d**7/420 - d**6/180 - d**5/60 + 5*d**3/6 + 3*d**2. Let l(t) be the first derivative of g(t). Factor l(h).
2*h*(h - 1)*(h + 1)**2
Suppose 3*f = -9 + 45. Let d be 39/36 + (-9)/f. Determine r so that -1/3*r**5 - d*r**4 + 0*r**2 + 0*r**3 + 0 + 0*r = 0.
-1, 0
Let t(g) = -g - 2. Let v be t(-4). Suppose -3*y = -v*a - 2 + 6, 4*y - 13 = -a. What is c in -a*c + 0*c**2 + 2*c**2 + 8 - 3*c = 0?
2
Factor t**2 - 1/3*t**4 + 4/3*t - 4/3 - 2/3*t**3.
-(t - 1)**2*(t + 2)**2/3
Let q be ((-2)/4)/((-10)/20). Let i be ((-4)/(-14))/(q/7). Factor -4/5 - 2/5*g**3 + 4/5*g**i + 2/5*g.
-2*(g - 2)*(g - 1)*(g + 1)/5
Factor -12/5*f + 8/5 + 4/5*f**2.
4*(f - 2)*(f - 1)/5
Factor -6*t**4 + 0 + 0*t + 6*t**2 - 4*t + 4*t**3 + 0.
-2*t*(t - 1)*(t + 1)*(3*t - 2)
Let h be 15/25 + 267/(-30). Let c = 17/2 + h. Factor 1/5*l**2 - 2/5*l**3 + 0*l + c*l**4 + 0.
l**2*(l - 1)**2/5
Factor -2*d**3 + 8*d**3 + 0*d**2 + 2 + 2*d - 10*d**2.
2*(d - 1)**2*(3*d + 1)
Let q(t) = -2*t - 1 + 3*t + 2*t**2 - 8*t**2. Suppose -2*k = -3*k - 14. Let i(a) = 19*a**2 - 2*a + 4. Let p(l) = k*q(l) - 4*i(l). What is s in p(s) = 0?
-1/4, 1
Let f = -3452/11 - -314. Factor 4/11*l**2 - 2/11*l**4 + 0 - f*l**3 + 0*l.
-2*l**2*(l - 1)*(l + 2)/11
Let c(s) be the first derivative of -s**6/360 + s**4/24 - s**3/3 + 4. Let m(t) be the third derivative of c(t). Find l, given that m(l) = 0.
-1, 1
Suppose -x = z - 8, 0 = -3*x - 7*z + 2*z + 34. Factor -3*j**x - 3*j**4 - 6*j**2 - 4*j**3 - 2*j**3.
-3*j**2*(j + 1)*(j + 2)
Suppose 2*m + 2*m - 8 = 0. Suppose -y = -4*h + 3, -6 + 0 = 2*h + m*y. Factor 0 + h*l + 1/4*l**2.
l**2/4
Let k(w) = -w**2 - 5*w - 3. Let n be k(-3). Let -2 - n*i**2 + 1 + i**2 - 1 + 4*i = 0. What is i?
1
Let w = 10 - 8. Let a be 1/w*(-2 + 8). Determine g so that 2/7*g**5 + 0 + 12/7*g**a + 8/7*g**4 + 2/7*g + 8/7*g**2 = 0.
-1, 0
Suppose -4*g + 2*d = -0*d + 10, -15 = -4*g - 3*d. Let a = 2 + g. Factor 5*t**2 - 4*t**a - 4*t**3 + t**5 + 7*t**3 + 3*t**4.
t**2*(t + 1)**3
Let a(w) be the third derivative of 0*w**3 + 1/60*w**4 + 0 + 2*w**2 + 1/300*w**5 - 1/1050*w**7 + 0*w - 1/300*w**6. Let a(v) = 0. What is v?
-2, -1, 0, 1
Let g(r) = -r**2 - r. Let d(p) = 9*p**2 + 24*p - 3. Let i(h) = d(h) + 15*g(h). Factor i(y).
-3*(y - 1)*(2*y - 1)
Let i be (4/10)/((-68)/(-40) + -1). Find z, given that 4/7*z - i*z**3 + 0 + 6/7*z**2 = 0.
-1/2, 0, 2
Let n be 3/((-462)/(-28)*(-1)/(-2)). Let -2/11*a + 0 - n*a**2 - 2/11*a**3 = 0. Calculate a.
-1, 0
Let g(i) be the second derivative of -4*i**6/15 + 11*i**5/10 + i**4/2 + 4*i. Solve g(x) = 0 for x.
-1/4, 0, 3
Let o(n) be the second derivative of n**4/36 + n**3/9 + n**2/6 - 3*n. Factor o(p).
(p + 1)**2/3
Suppose 4*k = -7*t + 4*t - 3, 5*k + 5*t + 5 = 0. Let c = 570 + -566. Factor k + 2/7*h**5 + 0*h**2 + 2/7*h - 4/7*h**3 + 0*h**c.
2*h*(h - 1)**2*(h + 1)**2/7
Let l = 13 + -51/4. Determine j so that 0 - 1/4*j**4 - l*j + 1/4*j**2 + 1/4*j**3 = 0.
-1, 0, 1
Let l(t) be the second derivative of -2*t**6/75 + t**5/25 + 2*t**4/15 - 21*t. Suppose l(o) = 0. What is o?
-1, 0, 2
Find r such that 21*r**4 - 2*r**5 - 6*r**5 + 15*r**5 - 10*r**5 - 45*r**3 + 27*r**2 = 0.
0, 1, 3
Let a(t) be the second derivative of t**6/180 - t**4/36 + t**2 - t. Let o(s) be the first derivative of a(s). Factor o(p).
2*p*(p - 1)*(p + 1)/3
Let o(h) = -2*h**3 - 2*h**2 + 4*h. Let r(f) = -f**3 - f**2 + 2*f. Let b(p) = -4*o(p) + 7*r(p). Factor b(y).
y*(y - 1)*(y + 2)
Let c(w) be the third derivative of -w**7/70 + 3*w**6/40 - w**4/2 + 7*w**2. Find q, given that c(q) = 0.
-1, 0, 2
Let c(l) be the third derivative of -l**10/75600 + l**8/10080 + l**5/60 + 2*l**2. Let z(g) be the third derivative of c(g). Factor z(w).
-2*w**2*(w - 1)*(w + 1)
Let x(h) be the third derivative of -h**7/42 + h**6/24 + h**5/12 - 5*h**4/24 + 4*h**2. Factor x(f).
-5*f*(f - 1)**2*(f + 1)
Let q = 1243/465 - 1/155. Determine a, given that -q*a**4 - 8/3*a**2 +