 0.
-1, -1/3, 0, 1
Let o be (-58)/(-18) - (-2 - 5/(-1)). Determine t, given that o*t**2 + 2/9 + 4/9*t = 0.
-1
Let h(y) = -y**2 + 1. Let j(o) = -6*o**2 - 2*o + 4. Let z(b) = 10*h(b) - 2*j(b). Factor z(w).
2*(w + 1)**2
Suppose -3*p - 185 = 2*p + 3*z, -4*p - 145 = 3*z. Let o = -38 - p. Solve 3/5*g + 9/5*g**3 - 9/5*g**o - 3/5*g**4 + 0 = 0.
0, 1
Let 1 + 4/3*a**4 + 11/3*a - 7/3*a**2 - 11/3*a**3 = 0. Calculate a.
-1, -1/4, 1, 3
Let v(y) be the first derivative of 3/4*y**4 - 3/2*y**2 + 0*y + 0*y**3 - 3. Factor v(q).
3*q*(q - 1)*(q + 1)
Suppose -13*u + 14*u + 5 = 3*d, -2*u + 8 = 0. Suppose 0*z**2 + 2/7*z**5 + 0*z**4 - 2/7*z**d + 0*z + 0 = 0. What is z?
-1, 0, 1
Let j = 43/76 - 6/19. Suppose -3/4*b**4 + 3/4*b**2 + j*b**3 + 0 - 1/4*b = 0. Calculate b.
-1, 0, 1/3, 1
Let y be 0/(-1) - 4/(-18). Suppose 0 + 0*b + y*b**2 = 0. Calculate b.
0
Let f be (-37)/5 + 6/(-10). Let x(z) = 4*z**2 + 3*z + 2. Let a(u) = -11*u**2 - 8*u - 5. Let k(g) = f*x(g) - 3*a(g). Let k(w) = 0. Calculate w.
-1, 1
Let s(r) = r + 1. Let k(x) = 4*x**2 + 32*x + 32. Let u(z) = -k(z) + 16*s(z). Solve u(c) = 0 for c.
-2
Suppose -11 = -0*x + 2*x - 5*d, 0 = 3*x - 2*d. Suppose 2/5*p - 2/5*p**3 + 0 + 2/5*p**4 - 2/5*p**x = 0. What is p?
-1, 0, 1
Find a, given that 3/2*a**3 + 3/4*a**4 - 3/2*a - 3/4 + 0*a**2 = 0.
-1, 1
Let k(l) be the third derivative of l**7/2520 - l**6/720 + l**4/24 + 4*l**2. Let q(p) be the second derivative of k(p). Factor q(a).
a*(a - 1)
Let z = 200 - 136. Let s = -574/9 + z. Factor -2/9*u**3 - 4/9*u**2 + 0 - s*u.
-2*u*(u + 1)**2/9
Let q = 16 + -12. Let v(z) be the second derivative of 1/4*z**2 + 1/24*z**q + 1/6*z**3 + 2*z + 0. Factor v(l).
(l + 1)**2/2
Let u(r) = r - 1. Let a(k) be the second derivative of k**4/12 + 2*k**3/3 - 5*k**2/2 - 2*k. Let t(q) = -2*a(q) + 6*u(q). Factor t(v).
-2*(v - 1)*(v + 2)
Let j(o) be the third derivative of -o**7/630 - o**6/180 - o**5/120 - o**4/144 - o**3/3 - o**2. Let q(a) be the first derivative of j(a). Factor q(i).
-(2*i + 1)**3/6
Let w(i) be the third derivative of i**8/84 - 2*i**7/105 - i**6/10 + i**5/3 - i**4/3 + 11*i**2. Factor w(y).
4*y*(y - 1)**3*(y + 2)
Let l(z) be the first derivative of 3/16*z**4 + 0*z + 1/3*z**3 - 1 + 1/8*z**2. Solve l(c) = 0 for c.
-1, -1/3, 0
Let f(z) = z**2 + 5*z. Let v(u) be the first derivative of 2*u**3/3 + 11*u**2/2 - u + 4. Let b(g) = -5*f(g) + 2*v(g). Factor b(j).
-(j + 1)*(j + 2)
Let w(t) be the first derivative of -t**3/6 - t**2 - 3*t/2 + 2. Let w(l) = 0. What is l?
-3, -1
Suppose 0 = -2*x + 3*c - 6 + 9, -2*x - 1 = c. Factor -2/5 + 4/5*z**2 - 2/5*z**4 + x*z + 0*z**3.
-2*(z - 1)**2*(z + 1)**2/5
Suppose -29*p = -33*p. Let o(t) be the second derivative of 0 + 0*t**2 - 1/12*t**4 + 1/20*t**5 + 2*t + p*t**3. Let o(r) = 0. Calculate r.
0, 1
Let i(l) be the second derivative of -l**4/96 + l**3/48 + 5*l. Solve i(c) = 0.
0, 1
Let x(l) be the first derivative of l**4/20 - 2*l**3/15 - l**2/10 + 2*l/5 + 7. Factor x(i).
(i - 2)*(i - 1)*(i + 1)/5
Determine p so that -1/5*p**2 - 7/5*p + 8/5 = 0.
-8, 1
Let v = 112/3 + -215/6. Let -3*s**4 - v*s + 3*s**2 + 0 + 0*s**3 + 3/2*s**5 = 0. What is s?
-1, 0, 1
Let v = -18 - -19. Let i be (v/(-10))/(6/(-15)). Factor -1/2 + i*u**3 - u**2 + 5/4*u.
(u - 2)*(u - 1)**2/4
Let y(h) be the third derivative of h**6/120 + h**5/60 - h**4/24 - h**3/6 + 5*h**2. Suppose y(c) = 0. What is c?
-1, 1
Factor -2/7*f**2 + 0*f - 2/7*f**3 + 0.
-2*f**2*(f + 1)/7
Let v(a) = a**2 + 2*a - 1. Let s be v(1). Suppose 0 = -3*j - r + 14, -3*r = -s*j + 5*j - 24. Solve -q**j - 1 + 0*q**3 + q - q**4 - q**3 + 2*q**2 + q**5 = 0.
-1, 1
Suppose -4*t + 5*y + 26 = 0, 0*t + 4*y = -t - 4. Factor 7*v**3 + 3*v**2 + t*v**3 + 1 + 3*v - 10*v**3.
(v + 1)**3
Let i be (-2)/((-1716)/(-872) - 2). Let s = i + -62. Factor s*b**2 + 2/7 - 4/7*b.
2*(b - 1)**2/7
What is b in -47*b**5 + 4*b**3 + 2 + b**2 - 3*b + 46*b**5 + 2*b**2 - 5*b**2 = 0?
-2, -1, 1
Let n be (10/6)/((-13)/(-39)). Suppose 2*z = n*z. Factor -2/7*c**2 + 2/7*c**5 + 6/7*c**3 - 6/7*c**4 + z + 0*c.
2*c**2*(c - 1)**3/7
Let d be 10/4*(-8)/(-70). Let k be 4/(-35) - (-44)/110. Determine v so that 0 - d*v + k*v**3 + 0*v**2 = 0.
-1, 0, 1
Factor -4/5*d**2 + 6/5*d - 1/5*d**4 + 1 - 6/5*d**3.
-(d - 1)*(d + 1)**2*(d + 5)/5
Let u = -25/13 + 1513/780. Let i(b) be the third derivative of 0*b + 0*b**5 - u*b**6 + b**2 + 0*b**4 + 0*b**3 + 0. Factor i(g).
-2*g**3
Let h = 60 - 239/4. Suppose 9*u + 173 = 200. Factor 0 + 0*f**2 - 4*f**4 + 3*f**u - h*f.
-f*(2*f - 1)**2*(4*f + 1)/4
Let q = -26/25 - -336/275. Let x be (2/3)/(11/3). Suppose -x*t**5 - 10/11*t**2 + 0 + 6/11*t**3 + q*t**4 + 4/11*t = 0. What is t?
-2, 0, 1
Suppose 0 = -13*s + 12*s + 4. Let i = 23/2 + -11. Find o such that 1/2*o**s - o**5 + o**3 + 0 - i*o**2 + 0*o = 0.
-1, 0, 1/2, 1
Determine b, given that -2*b**2 - 46*b**4 + 50*b**4 - 2*b**2 = 0.
-1, 0, 1
Let l be 1 + 2 - (-11)/(-4). Let g(x) be the first derivative of l*x**3 - 1 + 1/16*x**4 - 5/8*x**2 - 1/20*x**5 + 1/2*x. Factor g(o).
-(o - 1)**3*(o + 2)/4
Suppose -13 = -5*s - 3*u, -s + 15 = 4*s + 5*u. Suppose 2/7*v**s - 2/7 + 0*v = 0. What is v?
-1, 1
Let r(y) be the second derivative of 0 + 0*y**2 - 1/30*y**5 - 1/3*y**3 + 2*y - 1/12*y**4 - 1/180*y**6. Let p(u) be the second derivative of r(u). Factor p(j).
-2*(j + 1)**2
Determine x so that 0 - 8/5*x + 22/5*x**3 + 12*x**4 - 10*x**5 - 24/5*x**2 = 0.
-2/5, 0, 1
Let s be (-4)/18 + 235/45. Let t(l) be the first derivative of 0*l**2 + 1/2*l**4 + 2 + 0*l + 4/5*l**s + 0*l**3 + 1/3*l**6. Solve t(v) = 0.
-1, 0
Factor -p**2 + 70*p - 131*p + 2*p**2 + 68*p.
p*(p + 7)
Let k(q) = 0*q**4 - q + 4 + 2*q**4 + 2*q**2 + q**5 - 8*q**2. Let o(c) = -2*c**5 - 4*c**4 + 11*c**2 + 2*c - 7. Let m(u) = -7*k(u) - 4*o(u). Factor m(x).
x*(x - 1)*(x + 1)**3
Let d(f) be the second derivative of 7*f**8/1080 + f**7/180 - 2*f**6/135 + f**5/135 + f**3/6 - f. Let g(b) be the second derivative of d(b). Factor g(u).
2*u*(u + 1)*(7*u - 2)**2/9
Let k = 6 + -4. Let x(l) = -4*l**4 + 2*l**3 + 4*l**2 - 4. Let n(u) = u**4 + u**2 - u. Let s(t) = k*n(t) + x(t). Let s(j) = 0. Calculate j.
-1, 1, 2
Let f(u) be the second derivative of -u**7/14 + u**6/5 - u**4/2 + u**3/2 + 3*u. Factor f(q).
-3*q*(q - 1)**3*(q + 1)
Find f such that 2/9*f + 0 - 2/9*f**3 + 2/9*f**2 - 2/9*f**4 = 0.
-1, 0, 1
Let s(w) be the third derivative of 9*w**8/448 + 9*w**7/280 - 3*w**6/80 - 13*w**5/120 - 3*w**4/32 - w**3/24 + 3*w**2. Determine b so that s(b) = 0.
-1, -1/3, 1
Factor -2*r**4 + 2*r + r**3 - 2*r - 4*r**5 + 5*r**5.
r**3*(r - 1)**2
Let t(k) be the second derivative of 9*k**6/70 - 9*k**5/35 + k**4/7 + 7*k. Factor t(c).
3*c**2*(3*c - 2)**2/7
Let t(g) be the third derivative of -g**6/360 - g**5/270 + 14*g**2. Factor t(y).
-y**2*(3*y + 2)/9
Let y be 4/(16/(-6))*-2. Suppose -y*w - 3 = 2*i - 28, -i - 5 = -2*w. Suppose -1/4*g + 1/4*g**4 + 1/2*g**3 - 1/2*g**2 + 1/4 - 1/4*g**w = 0. What is g?
-1, 1
Let u(a) be the second derivative of 0*a**2 - 1/10*a**6 - 3/8*a**4 - 1/8*a**3 + 3*a - 27/80*a**5 + 0. Solve u(c) = 0.
-1, -1/4, 0
Suppose 11 = 3*x + 5*z - 0*z, 0 = -3*x - 2*z + 8. Solve -w**x + 2*w**3 - 2*w**2 + 2*w**3 - 5*w**3 = 0 for w.
-3, 0
What is z in -2/25*z**2 + 0 + 4/25*z - 6/25*z**3 = 0?
-1, 0, 2/3
Let z = -3 + -1. Let v be (3 - 1) + 0 - z. Factor v*p - 6*p - 2*p**2.
-2*p**2
Suppose 4*i**3 - 6*i**2 - i**4 - i**2 + 4*i**2 = 0. What is i?
0, 1, 3
Let v be 3 - (12/4)/(-3). Let q(r) be the first derivative of -1/5*r**5 - 1/2*r**v + 0*r**3 + r + 2 + r**2. Find j, given that q(j) = 0.
-1, 1
Let s(i) = -6*i - 39. Let n be s(-7). Factor 0*j - 2/3*j**4 + 4/3*j**n - 2/3*j**2 + 0.
-2*j**2*(j - 1)**2/3
Let m(i) = -i + 8. Let a be m(6). Determine c so that -10*c - a - 25/2*c**2 = 0.
-2/5
Factor -f**3 + 0*f**3 - 8*f + 4*f - 4*f**2.
-f*(f + 2)**2
Factor 0*j - j - 3*j**3 + 4*j**3 + 0 - j**2 + 1.
(j - 1)**2*(j + 1)
Let m(z) be the first derivative of -2*z**5/45 + 7*z**4/9 - 16*z**3/3 + 160*z**2/9 - 256*z/9 + 26. Find s such that m(s) = 0.
2, 4
Let w(j) be the second derivative of j**7/8820 + j**4/6 + 4*j. Let q(a) be the third derivative of w(a). Factor q(y).
2*y**2/7
Let f = 397 + -394. Factor 0 - 2/7*b**2 + 0*b + 2/7*b**f.
2*b**2*(b - 1)/7
Let z be (-106)/(-14) + (-12)/(-28). Let i be 40/(-75)*(-6)/z. Solve 0*g**4 + i*g**5 + 0 - 2/5*g**3 + 0*g**2 + 0*g = 0.
-1, 0, 1
Let k(l) be the third derivative of l**8/1680 + l**7/840 - 