f + 0*f**3. Factor v(a).
-a**2*(a - 1)/3
Factor 8/5*a - 2/5 - 12/5*a**2 - 2/5*a**4 + 8/5*a**3.
-2*(a - 1)**4/5
Let u(b) be the third derivative of 0 + b**2 + 0*b - 1/120*b**5 - 1/24*b**4 + 0*b**3. Find t, given that u(t) = 0.
-2, 0
Let x(j) be the third derivative of j**6/21 - 37*j**5/210 - 2*j**4/21 + 4*j**3/21 + 2*j**2. Suppose x(y) = 0. What is y?
-2/5, 1/4, 2
Let t(v) = 0 - 5*v**2 + 2 - v**3 + v**2. Let m be t(-4). Suppose -m*w**3 - w**2 + 2*w + w**2 = 0. Calculate w.
-1, 0, 1
Let w(u) = 4*u**5 - 13*u**3 - 5*u**2 + 12*u + 5. Let t(j) = 12*j**5 - 40*j**3 - 16*j**2 + 36*j + 16. Let r(q) = 3*t(q) - 8*w(q). Factor r(d).
4*(d - 2)*(d - 1)*(d + 1)**3
Let x(f) be the third derivative of -1/90*f**5 + 0*f - 1/18*f**4 + 0*f**3 - 3*f**2 + 0. Let x(z) = 0. What is z?
-2, 0
Let z(r) be the third derivative of r**8/110880 + r**7/13860 + r**5/60 + 2*r**2. Let n(o) be the third derivative of z(o). Factor n(b).
2*b*(b + 2)/11
Suppose -3*c - 6 = -5*c. Let p be ((-1)/12)/(c/(-9)). Determine a, given that 0 + p*a**3 + 0*a**2 - 1/4*a = 0.
-1, 0, 1
Let b be (93/403)/((-3)/(-39)). Factor -1/2*z + 1/4*z**4 + 1/2*z**b - 1/4 + 0*z**2.
(z - 1)*(z + 1)**3/4
Let b(d) be the second derivative of -3/20*d**5 + 1/2*d**3 + 9*d + 0 + 3*d**2 + 1/10*d**6 - 3/4*d**4. Determine l, given that b(l) = 0.
-1, 1, 2
Let j(z) be the third derivative of z**6/40 - z**5/10 + z**4/8 - z**2. Find a, given that j(a) = 0.
0, 1
Suppose 0 + 2/13*z - 4/13*z**2 + 2/13*z**3 = 0. Calculate z.
0, 1
Suppose -13 = -2*z + p, z - 1 = -3*p - 12. Factor 81*k**2 + 12*k - 20*k**3 - 4 - 8 + 98*k**3 + 21*k**z.
3*(k + 1)**2*(k + 2)*(7*k - 2)
Suppose 2*k + 4*a = a, 2*k + 4*a = 0. Suppose 0 = -5*f + 6 + 9. Determine h so that -h**3 + k*h**3 - h**f + h + h**5 = 0.
-1, 0, 1
Suppose 0 + 2/3*p**2 + 2*p = 0. Calculate p.
-3, 0
Suppose 0 = -3*l + 8 - 2. Factor -21 - 9*o - 6 - 3*o**l + o - 10*o.
-3*(o + 3)**2
Suppose -h = 4*h - 3*d - 7, -3*h - 4*d + 10 = 0. Let y = h + 2. Solve 3*a**4 - 3*a**3 + a**4 + a**y + 6*a**5 + 4*a**3 = 0.
-1/2, -1/3, 0
Let c(i) be the second derivative of 0 + 9/2*i**3 - 5/4*i**4 + 7/10*i**6 - 27/20*i**5 + 3*i - 3*i**2. Determine p so that c(p) = 0.
-1, 2/7, 1
Suppose d + d = 0. Let l be 2*(27/45)/(6/2). Solve d + l*k**3 + 2/5*k + 4/5*k**2 = 0.
-1, 0
Let p(s) = -5*s**4 - 9*s**3 - 9*s**2 + 5*s - 6. Let r(b) = b**4 + b**3 - b + 1. Let g(n) = -5*p(n) - 40*r(n). Solve g(f) = 0 for f.
-1, 1/3, 2
Let c(y) = 2*y**3 + 15*y**2 + 17*y - 6. Let t be c(-6). Suppose -v**2 + t + 2*v**3 + 0*v + 5/4*v**4 = 0. Calculate v.
-2, 0, 2/5
Let o be (5 - (3 - 5)) + 2. Suppose 0*j**3 + 3*j + 0*j - 12*j**2 + o*j**3 + 0*j = 0. What is j?
0, 1/3, 1
Let w(d) be the third derivative of d**2 + 0 + 1/60*d**6 + 0*d**5 + 0*d**3 + 0*d - 1/12*d**4. Factor w(l).
2*l*(l - 1)*(l + 1)
Let q(u) be the first derivative of 1/3*u**3 - 1/15*u**5 + 0*u**4 + 0*u + 3 - 1/3*u**2. Let q(l) = 0. What is l?
-2, 0, 1
Let x(u) be the third derivative of u**6/120 + 2*u**5/15 + 13*u**4/24 + u**3 - 2*u**2 + 4*u. Factor x(l).
(l + 1)**2*(l + 6)
Let l(r) = -8*r**2 - 11*r + 2. Let t(z) = 24*z**2 - 3*z - 3. Let o(h) = h**2 - h. Let q(s) = 15*o(s) - t(s). Let w(j) = -6*l(j) + 5*q(j). Factor w(d).
3*(d + 1)**2
Suppose 4*s + 0 - 12 = 0. Factor 6 + s*p**4 + 6 - 6*p**2 - 9.
3*(p - 1)**2*(p + 1)**2
Let c = -3 - -7. Let v(w) be the second derivative of 0 + 2/3*w**3 + 2*w - 1/12*w**c - 2*w**2. Factor v(j).
-(j - 2)**2
Let l(x) be the second derivative of 4*x - 5/9*x**3 - 1/30*x**5 + 2/3*x**2 + 2/9*x**4 + 0. Determine j so that l(j) = 0.
1, 2
Let y = 32 + -29. Let a(w) be the second derivative of -1/12*w**y + 0 + 0*w**2 - 1/8*w**4 - 1/60*w**6 - 3/40*w**5 - w. Factor a(g).
-g*(g + 1)**3/2
Let q(i) be the third derivative of i**6/48 - i**5/30 - i**4/48 + 10*i**2. Factor q(x).
x*(x - 1)*(5*x + 1)/2
Let q = -5479/21 + 261. Let b = q + 17/42. Factor -1 + b*i + i**2 - 1/2*i**3.
-(i - 2)*(i - 1)*(i + 1)/2
Let i be 7/4 - (-8)/32. Let 7*f + 12*f + f - 18 - 12*f**i + 10 = 0. Calculate f.
2/3, 1
Let c(t) = -14*t**2 + 18*t + 22. Let g(b) = -b - 1. Suppose -88 = 2*w - 4*w. Let u(n) = w*g(n) + 2*c(n). Find z, given that u(z) = 0.
-2/7, 0
Let u(a) be the third derivative of a**8/840 - a**7/175 - a**6/300 + 7*a**5/150 - 4*a**3/15 + 10*a**2. Let u(l) = 0. What is l?
-1, 1, 2
Find i such that -2/5*i**4 - 1/5*i**5 + 2/5*i**2 + 1/5*i + 0 + 0*i**3 = 0.
-1, 0, 1
Factor 8*v - 8*v**2 + 11*v**2 + 8 - v**2.
2*(v + 2)**2
Let y = 6 + 10. Determine w, given that 4*w + w**2 - 20*w**3 + y*w**5 + 4*w**2 + 2*w**2 + 5*w**2 - 12*w**4 = 0.
-1, -1/4, 0, 1
Let t = -16 - -18. Suppose 2*x - c - 12 = 0, -2*x - 3 - 5 = 4*c. Factor -2*v + 7*v**4 - 5*v**5 + 5*v**5 + 3 - 8*v**t - 2 - 2*v**3 + x*v**5.
(v - 1)*(v + 1)**3*(4*v - 1)
Let c(n) be the second derivative of -4*n**5/5 - 5*n**4/3 - n**3/3 + n**2 + 39*n. Let c(r) = 0. What is r?
-1, -1/2, 1/4
Find q, given that -4*q**2 - 6 - 270*q + 250*q - 18 = 0.
-3, -2
Let w = -5 - -3. Let s(i) = -3*i - 3. Let n be s(w). Determine b, given that 2/5*b + 0*b**2 - 2/5*b**n + 0 = 0.
-1, 0, 1
Solve 3*i**2 + 0 + i + 3/2*i**4 + 13/4*i**3 + 1/4*i**5 = 0 for i.
-2, -1, 0
Factor -2*o**4 + 8*o**4 + 14*o**4 + 0*o**5 - 16*o**5 - 4*o**3.
-4*o**3*(o - 1)*(4*o - 1)
Let o(f) = 3*f**2 + 5*f - 5. Let c(x) = -4*x**2 - 6*x + 6. Let g = -19 - -13. Let v(h) = g*o(h) - 5*c(h). Factor v(w).
2*w**2
Let o(n) be the third derivative of -n**7/210 + n**6/60 - n**4/12 + n**3/6 - 10*n**2. Suppose o(s) = 0. Calculate s.
-1, 1
What is o in -7/4*o**2 + o**3 + 1/2*o + 1/4 = 0?
-1/4, 1
Let a(i) be the first derivative of i**5/210 - i**4/84 - 2*i**3/21 + 5*i**2/2 - 6. Let w(h) be the second derivative of a(h). Factor w(f).
2*(f - 2)*(f + 1)/7
Suppose 0 = -3*d - 29 + 89. Suppose -3*i = 2*i - d. Factor -7*c - 2*c**3 + 2*c**4 - 2 - 3*c**2 + 5*c**5 - 5*c**2 - i*c**5.
(c - 2)*(c + 1)**4
Let k(s) = s**4 - s**3 + s**2 - s. Let v(w) = -6*w**3 + 3*w**2 + 3*w. Let z(x) = -3*k(x) - v(x). Factor z(o).
-3*o**2*(o - 2)*(o - 1)
Suppose 4*g - 4*r - 48 = 0, 0 = 4*r + 3 + 13. Let a(u) = u**3 - 8*u**2 + 5. Let t be a(g). Factor 0*d + 0 - 2/11*d**2 - 6/11*d**4 + 6/11*d**3 + 2/11*d**t.
2*d**2*(d - 1)**3/11
Find v such that -v**5 - 29*v**3 + 62*v**3 - 32*v**3 = 0.
-1, 0, 1
Let z be (6/(-72))/((-2)/12). Factor -y**3 + y**2 - z + 1/2*y - 1/2*y**4 + 1/2*y**5.
(y - 1)**3*(y + 1)**2/2
Let r be (12/(-105)*5)/((-4)/14). Factor -3/5 + 6/5*t**3 + 6/5*t**r - 3/5*t**4 - 3/5*t - 3/5*t**5.
-3*(t - 1)**2*(t + 1)**3/5
Let x be (-15)/(-75) - 18/(-10). Find q such that 0*q + 2/5*q**4 - 4/5*q**3 + 2/5*q**x + 0 = 0.
0, 1
Let k = 67/330 - 2/55. Let w(y) be the first derivative of 3 + 0*y - 1/4*y**4 - k*y**2 - 4/9*y**3. What is b in w(b) = 0?
-1, -1/3, 0
Let r(n) = 7*n**4 + 8*n**3 - 13*n**2 - 2*n. Let a(i) = 50*i**4 + 55*i**3 - 90*i**2 - 15*i. Let p(l) = 2*a(l) - 15*r(l). What is t in p(t) = 0?
-3, 0, 1
Suppose -i + u = 3*i - 10, u = -2. Let q(x) be the first derivative of 2/15*x**3 + 0*x**i + 1 + 0*x. Factor q(y).
2*y**2/5
Let k(a) be the first derivative of 11*a**7/2940 + a**6/630 - 5*a**3/3 - 1. Let f(q) be the third derivative of k(q). Factor f(l).
2*l**2*(11*l + 2)/7
Suppose -12 = 4*k - 5*h, 0*h + 20 = 5*h. Factor -3*b**2 + 11*b**k - 2*b + b + 3*b.
2*b*(4*b + 1)
Factor 20/7*h**3 + 4/7*h**2 + 0 + 25/7*h**4 + 0*h.
h**2*(5*h + 2)**2/7
Let q(l) be the second derivative of 0 - 1/3*l**2 + 1/18*l**4 + 1/3*l**3 - 1/10*l**5 - 2*l. Factor q(h).
-2*(h - 1)*(h + 1)*(3*h - 1)/3
Solve -4/5*z + 3/5 + 1/5*z**2 = 0.
1, 3
Let g(w) = w**5 - 5*w**4 + 3*w**3 + w**2 - 4*w + 4. Let v = -11 - -12. Let z(o) = -o**4 + o**3 - o + 1. Let i(t) = v*g(t) - 4*z(t). Suppose i(h) = 0. What is h?
-1, 0, 1
Let w = 541/204 - -1/68. Let k(j) be the first derivative of -w*j**3 + 1/3*j**6 + 4*j + 4/5*j**5 + j**2 - j**4 - 2. Let k(g) = 0. Calculate g.
-2, -1, 1
Suppose -6*d + d = -15. Let f(y) = y + 1. Let o be f(d). Let k - 8*k**2 - 2*k - 12*k**3 - k - 8*k**4 - 2*k**5 + 0*k**o = 0. Calculate k.
-1, 0
Factor 0*n - 2/9*n**3 + 2/9*n**2 + 0.
-2*n**2*(n - 1)/9
Suppose q = -4, 0 = -3*l - 5*q + 1 - 12. Solve -4*o**2 - 2*o - 2*o - 2*o**l + 2*o = 0 for o.
-1, 0
Factor -34*a**2 + 19*a**2 - 4 - 55*a - 26.
-5*(a + 3)*(3*a + 2)
Let g(b) be the first derivative of -2*b**3/9 - b**2/3 + 4*b + 23. Determine y, given that g(y) = 0.
-3, 2
Let f(l) be the second derivative of -2*l**7/63 + 4*l**