s(y) = 0 for y.
0, 1
Suppose -q - 2*q + 6 = 0. Suppose -8 - q = -5*u. Factor 2/3*l**u - 2/3*l + 0.
2*l*(l - 1)/3
Let s(o) be the second derivative of o**6/15 + o**5/5 - o**4/6 - 2*o**3/3 - 6*o. Factor s(f).
2*f*(f - 1)*(f + 1)*(f + 2)
Let p(u) = u**2 - 4*u + 2. Let c(q) = -5*q - 1. Let o be c(-1). Let r be p(o). Find a, given that -2*a - 4*a**4 + 3*a**5 + r*a**2 + 2*a**2 - a**5 = 0.
-1, 0, 1
Suppose 58 - 63*g**3 - 58 - 27*g**4 - 12*g - 48*g**2 = 0. What is g?
-1, -2/3, 0
Let g(v) be the second derivative of -2*v + 0 + 1/2*v**3 - 1/4*v**4 + 0*v**2. Determine y, given that g(y) = 0.
0, 1
Let g(s) = s**2 - s. Let u(f) = -4*f**2 + 2*f + 2. Let x(n) = -3*g(n) - u(n). Factor x(v).
(v - 1)*(v + 2)
Let y(z) be the first derivative of -z**3 - 3*z**2 + 9*z - 1. What is u in y(u) = 0?
-3, 1
Let h(t) be the first derivative of 7*t**5/30 + t**4/9 - 7*t**3/9 - 2*t**2/3 + 2*t + 3. Let v(s) be the first derivative of h(s). Factor v(u).
2*(u - 1)*(u + 1)*(7*u + 2)/3
Let r(l) be the third derivative of l**6/1980 - l**5/330 + l**4/132 + 5*l**3/6 + 3*l**2. Let u(c) be the first derivative of r(c). Find y such that u(y) = 0.
1
Let r be (-4)/((-8)/(-6)) - 3. Let f be 3*2/r*0. Factor f*y**2 + 0*y**4 + 0*y + 3/4*y**5 + 0 - 3/4*y**3.
3*y**3*(y - 1)*(y + 1)/4
Let l = -16 + 26. Factor 2*j**3 + 9*j - l*j - j**3.
j*(j - 1)*(j + 1)
Let x(s) = s**3 - 8*s**2 + 7*s + 2. Let k be x(7). Let u(w) be the second derivative of -w + 1/20*w**5 + 0 + 1/4*w**k - 1/8*w**4 + 0*w**3. Factor u(c).
(c - 1)**2*(2*c + 1)/2
Suppose 3*v - 5 + 2 = 0. Suppose 4*u - 3*m = 14, -5*u = 3*m - 5 + v. Suppose 0*c + 2/3 - 2/3*c**u = 0. Calculate c.
-1, 1
Suppose -2*i**2 - 14/5*i - 2/5*i**3 - 6/5 = 0. What is i?
-3, -1
Let w(n) = -n + 1. Let f(t) = -13*t**2 + 5*t**2 - 10*t**3 - t + 2 + 26*t**3. Let j(s) = -2*f(s) + 4*w(s). Determine l, given that j(l) = 0.
0, 1/4
Let a be 1/(-4) + 9/4. Let -8*r + 8*r + 0*r**2 - 2*r**a = 0. What is r?
0
Let v(z) = -z**4 + z**3 - z + 1. Let t(b) = -5*b**5 + 15*b**4 - 25*b**3 + 10*b**2 + 30*b - 25. Let j(l) = t(l) + 25*v(l). Factor j(x).
-5*x*(x - 1)*(x + 1)**3
Factor -1 + 5 + 13*s**4 - 20*s**2 + 3*s**4 + 10*s**5 - 2*s - 8*s**3.
2*(s - 1)*(s + 1)**3*(5*s - 2)
Let f be (1/(-8))/((-2)/12). Let n be (6/(-20)*-5)/(1/2). Factor -1/2*c**2 + 1/2*c**n - 1/4 + f*c**4 - 3/4*c + 1/4*c**5.
(c - 1)*(c + 1)**4/4
Let g = -12 - -22. Factor t**4 + 4*t**3 - t**4 + 7*t - g*t + 2*t**2 - t**5 - 2.
-(t - 2)*(t - 1)*(t + 1)**3
Let j(y) be the third derivative of y**8/1008 - y**7/315 - y**6/120 + y**5/45 + y**4/18 - 5*y**2. Factor j(x).
x*(x - 2)**2*(x + 1)**2/3
Let q = -2369/15 - -158. Let z(m) be the second derivative of 0*m**4 + 0*m**5 - 2*m + 0 - q*m**6 + 0*m**3 + 0*m**2. Factor z(h).
-2*h**4
Let k be 8 + 4/(-2) - 1. Solve 2*c**2 - 2*c**2 + 3*c**5 - 2*c**k - 2*c**4 + c**3 = 0.
0, 1
Let q(z) = -2*z - 7. Let m be q(-6). Let b**m + 6*b**3 - 4*b**3 + 3*b**4 + 0*b**4 = 0. Calculate b.
-2, -1, 0
Let u(s) = -8*s**3 + 36*s**2 - 36*s + 4. Let v(w) = -25*w**3 + 109*w**2 - 108*w + 13. Let n(c) = 11*u(c) - 4*v(c). Factor n(i).
4*(i - 2)*(i - 1)*(3*i - 1)
Determine d, given that -3/4*d**2 + 3/4 - 1/4*d + 1/4*d**3 = 0.
-1, 1, 3
Let s = -18/71 + 766/781. Factor -98/11*w**2 + 0*w + s.
-2*(7*w - 2)*(7*w + 2)/11
Let l = 63692/34503 + -98/53. Let j = l + 5218/3255. Let 8/5*p**3 - 12/5*p**2 - 2/5*p**4 + j*p - 2/5 = 0. What is p?
1
Let c(l) = -5*l**2 + 8*l - 5. Let n(g) = -25*g**2 + 39*g - 25. Let a(p) = 11*c(p) - 2*n(p). Let a(x) = 0. Calculate x.
1
Suppose -4/3*t**2 - 4 + 16/3*t = 0. What is t?
1, 3
Let g = -181/12 - -63/4. Let t(x) be the first derivative of -g*x + 3/2*x**4 - 10/3*x**3 - 3 + 7/3*x**2. Determine m, given that t(m) = 0.
1/3, 1
Let c(d) = 4*d**2 - 21. Let s(z) be the first derivative of -4*z**3/3 + 20*z + 4. Let n(k) = -4*c(k) - 5*s(k). Factor n(x).
4*(x - 2)*(x + 2)
Factor -20*u**3 + 8*u**3 - 1422*u**5 + 1425*u**5.
3*u**3*(u - 2)*(u + 2)
Let c = -141 - -144. Let x be 4/33*9/6. Solve 0 + x*m - 4/11*m**5 + 6/11*m**2 + 2/11*m**c - 6/11*m**4 = 0.
-1, -1/2, 0, 1
Factor 0*q - 2/3*q**5 + 8/3*q**4 + 0 + 0*q**2 - 2*q**3.
-2*q**3*(q - 3)*(q - 1)/3
Let t be (-10)/8*-2*2. Factor -2/5*b**3 + 2/5*b**t - 2/5*b**2 + 0 + 2/5*b**4 + 0*b.
2*b**2*(b - 1)*(b + 1)**2/5
Let a(g) be the second derivative of -g**5/210 + g**4/42 - 3*g**2/2 - 2*g. Let n(v) be the first derivative of a(v). What is t in n(t) = 0?
0, 2
Let t(o) be the third derivative of 0 + 0*o**3 + 1/84*o**4 - 1/210*o**5 + 0*o - o**2. Find f, given that t(f) = 0.
0, 1
Factor -1 - 2*y - 3*y**3 - 2*y + 1 + 8*y**2.
-y*(y - 2)*(3*y - 2)
Let b(o) be the third derivative of -o**8/1176 + o**7/735 + o**6/210 - o**5/105 - o**4/84 + o**3/21 - 48*o**2. Factor b(h).
-2*(h - 1)**3*(h + 1)**2/7
Let a be -1 - (-2 + (-5)/(-6)). Let u(j) be the third derivative of -1/6*j**3 + 0 - 2*j**2 - a*j**4 + 0*j - 1/20*j**5. Let u(n) = 0. What is n?
-1, -1/3
Let b = 103/3 + -34. Find x such that -1/3 + 2/3*x - b*x**2 = 0.
1
Suppose -8*j = -7*j - 5. Let 6*x**j - 34/3*x**3 - 8/3 + 14/3*x**2 - 2*x**4 + 16/3*x = 0. Calculate x.
-1, 2/3, 1
Let v(q) = 6*q**4 - 4*q**3 - 7*q**2 - 5*q + 5. Let p(y) = 7*y**4 - 5*y**3 - 8*y**2 - 6*y + 6. Let d(t) = -5*p(t) + 6*v(t). Let d(c) = 0. What is c?
-2, 0, 1
Let y = 203 + -203. Find k, given that 2/3*k**2 + y + 0*k + 2/3*k**4 - 4/3*k**3 = 0.
0, 1
Let a(g) = -g**2 - g. Let q = 23 - 5. Let x(b) = -21*b**2 - 15*b + 6. Let d(h) = q*a(h) - x(h). Let d(v) = 0. Calculate v.
-1, 2
Let o(f) be the third derivative of f**6/270 + f**5/90 - f**3/6 - 5*f**2. Let c(q) be the first derivative of o(q). Factor c(u).
4*u*(u + 1)/3
Solve -2/5*f**2 + 0 + 34/15*f**3 - 4/15*f - 8/5*f**4 = 0.
-1/4, 0, 2/3, 1
Find a, given that 1/9*a**3 + 0*a + 0 + 2/9*a**2 - 1/9*a**4 = 0.
-1, 0, 2
Let q(x) be the third derivative of -1/60*x**5 + 1/6*x**3 + 7*x**2 + 0 + 1/48*x**6 - 5/48*x**4 + 0*x. Suppose q(y) = 0. Calculate y.
-1, 2/5, 1
Suppose -2*r = -10, 0*z + 44 = 3*z - 2*r. Let w be (20/36)/(15/z). Factor 0*f - 1/3*f**4 + 0 + w*f**3 - 1/3*f**2.
-f**2*(f - 1)**2/3
Let k(v) = -v - 2. Let s be k(-7). Suppose -s - 4 = -3*y. Factor 2/3*p + 0 + 4/3*p**2 + 2/3*p**y.
2*p*(p + 1)**2/3
Suppose -40 = -x - 4*x - 5*y, 0 = 5*x - 2*y - 12. Determine b, given that -6/11 - 84/11*b**2 - 38/11*b - 72/11*b**3 - 16/11*b**x = 0.
-3, -1/2
Let r(u) be the third derivative of -1/3*u**6 + 9/2*u**4 + u**2 + 0*u - 1/84*u**8 - 2/15*u**7 + 6/5*u**5 - 18*u**3 + 0. Factor r(f).
-4*(f - 1)**2*(f + 3)**3
Let w(g) = 7*g**5 - 12*g**4 + 2*g**3 + 11*g**2 - 3*g - 2. Let d(z) = -13*z**5 + 23*z**4 - 4*z**3 - 21*z**2 + 7*z + 3. Let c(y) = -3*d(y) - 5*w(y). Factor c(t).
(t - 1)**3*(t + 1)*(4*t - 1)
Let w(r) = -16*r**4 - 65*r**3 - 44*r**2 + 5*r + 13. Let f(c) = -8*c**4 - 32*c**3 - 22*c**2 + 2*c + 6. Let n(j) = 13*f(j) - 6*w(j). Suppose n(m) = 0. What is m?
-2, -1, -1/4, 0
Let p = 6/115 + 854/1265. Let f be 2 - (0 + 0/1). Solve -8/11 - p*q - 2/11*q**f = 0 for q.
-2
Let d(w) be the second derivative of 0 + 1/80*w**5 - 2*w - 1/24*w**3 + 1/8*w**2 - 1/48*w**4. Factor d(m).
(m - 1)**2*(m + 1)/4
Let g(h) be the second derivative of -h**6/45 + 27*h. Factor g(s).
-2*s**4/3
Let b be (0 - 3 - -3)/(-1). Suppose b = 5*n - 8 - 2. Let 16*z + 10*z**2 + n - 9 - 1 = 0. Calculate z.
-2, 2/5
Let x(f) = f + 11. Let b be x(-10). Let l(v) = v**4 - v**3 + 1. Let d(z) = -14*z**4 + 18*z**3 + 4*z**2 - 8. Let a(c) = b*d(c) + 8*l(c). Factor a(t).
-2*t**2*(t - 2)*(3*t + 1)
Let q(o) be the first derivative of 22/35*o**5 + 8/7*o - 10/7*o**3 + 2 + 8/7*o**2 - 23/14*o**4 + 5/7*o**6. Let q(b) = 0. What is b?
-1, -2/5, 2/3, 1
Let n be 8/21*6/8. Suppose 0 = -22*f + 17*f + 20. Factor 0 + 0*y + 6/7*y**3 - n*y**2 - 6/7*y**f + 2/7*y**5.
2*y**2*(y - 1)**3/7
Let y(x) = -12*x**4 + 34*x**3 - 20*x**2 - 2*x + 6. Let l(m) = -24*m**4 + 67*m**3 - 40*m**2 - 3*m + 11. Let s(h) = 6*l(h) - 11*y(h). Factor s(u).
-4*u*(u - 1)**2*(3*u - 1)
Solve 26/3*p**2 + 14/3*p**4 + 2/3*p**5 + 8/3*p + 0 + 10*p**3 = 0.
-4, -1, 0
Suppose -g + 3 = -0*g. Factor g*m**4 - m**4 - m**4 + 4*m**3 + 4*m**2.
m**2*(m + 2)**2
Suppose 5*h - s - 25 = 4*s, -1 = s. Suppose h*f - 20 = -12. Factor 2/7*q**5 - 4/7*q**3 + 2/7 + 2/7*q - 4/7*q**f + 2/7*q**4.
2*(q - 1)**2*(q + 1)**3/7
Let g be 17/(-4) - 8/(-32). Let k be g*-2*2/4. Find d, given that 2/5*d**3 + 0 - 2/5*d + 2/5*d**k - 2/5*d**2 = 0.
-1, 0, 1
Suppose 0 = -4*h 