i**y - 2*i**3 = 0. What is i?
-1, 0
Suppose -5*k + 10*k = 10. Let r = -6 - -9. Determine u so that r*u**4 - 3*u**4 - k*u**3 - u**4 - u**2 = 0.
-1, 0
Suppose i = 4*u + 75, u + 2 = 3*i - 25. Let w(y) = -15*y**3 - 3*y**2 - 21*y + 3. Let h(k) = -k**3 - k. Let n(d) = u*h(d) + w(d). Suppose n(z) = 0. Calculate z.
-1, 1
Suppose 0 = -n - n + 4. Suppose -k - 2*s - 21 = -6*k, -2*k + 5*s + 21 = 0. Find r, given that 0 - n*r**k + 0 = 0.
0
Let j(k) be the first derivative of 0*k + 2/9*k**3 + 0*k**2 + 2 - 1/6*k**4. Find u such that j(u) = 0.
0, 1
Let f(b) be the third derivative of b**6/60 - b**5/30 - 5*b**4/12 - b**3 - 5*b**2. Factor f(p).
2*(p - 3)*(p + 1)**2
Let p(v) be the third derivative of -v**5/15 + 2*v**4/3 + 28*v**2. Suppose p(u) = 0. Calculate u.
0, 4
Let n(j) = 2*j**2 - 3. Let g(w) = -w**2 + 2. Let m(c) = -3*g(c) - 2*n(c). Find x such that m(x) = 0.
0
Let j = -10 + 13. Let p(b) be the first derivative of 2 + 1/6*b**j + 3/4*b**2 + b. Find f, given that p(f) = 0.
-2, -1
Solve -24/11*t**2 - 10/11*t**3 - 4/11 - 18/11*t = 0 for t.
-1, -2/5
Let 0*g**2 + 4*g**2 - 4*g**2 + g**3 = 0. Calculate g.
0
Factor 5*y**5 + 12*y**3 - 2*y**5 + 3*y - 18*y**3.
3*y*(y - 1)**2*(y + 1)**2
Let t be 1*(-9)/(-3) - 1. Factor 0*f**2 - f + 0*f**t + f**2.
f*(f - 1)
Let a = 22/9 + -16/9. Factor 2/9*x**2 - a*x + 4/9.
2*(x - 2)*(x - 1)/9
Let w(m) be the first derivative of m**4/28 + 2*m**3/7 + 6*m + 1. Let f(r) be the first derivative of w(r). Factor f(u).
3*u*(u + 4)/7
Find f such that 2*f + 2 + 1/2*f**2 = 0.
-2
Suppose -b - 49 = -2*b. Let t = -195/4 + b. Let z**4 + 0 + 7/4*z**3 - t*z + 1/2*z**2 = 0. What is z?
-1, 0, 1/4
Let w = -89 + 93. Let t(y) be the second derivative of 2/5*y**3 - 1/20*y**4 - 6/5*y**2 + 0 + w*y. Suppose t(u) = 0. What is u?
2
Suppose 3*c + 0*c + 213 = 5*r, 0 = 3*r - 2*c - 127. Let j = 181/4 - r. Solve -1/2*p + j*p**2 + 1/4 = 0.
1
Let h(d) = -12*d**4 - 16*d**3 + 6*d**2 - 10*d + 10. Let f(a) = -a**2 + a - 1. Let k(y) = 10*f(y) + h(y). Factor k(m).
-4*m**2*(m + 1)*(3*m + 1)
Suppose -3*c = c - 24. Let b = -4 + c. Factor b + 0 + 0*i - 3*i + i**2.
(i - 2)*(i - 1)
Suppose -7 = -q - 3*k, 2*q + 1 - 15 = -4*k. Suppose -3 = 3*i, i = -2*x + 5*x - q. Let 4*h**4 - 3*h**4 + 0*h**2 + h**2 - x*h**3 = 0. What is h?
0, 1
Let -4*t**3 - 4*t**2 + 5 - 1 + 4*t + 0 = 0. What is t?
-1, 1
Let w(c) be the third derivative of -c**6/90 - 2*c**5/45 - c**4/18 + 8*c**2. Factor w(f).
-4*f*(f + 1)**2/3
Suppose -5*b = 10 - 30. Suppose 0 = n - 2*t + 4, b*t - 24 + 0 = -2*n. Factor 4*j**4 - j**2 + 3*j**4 - 6*j**n.
j**2*(j - 1)*(j + 1)
Factor -28*a + 8*a - 84*a**3 + 89*a**3.
5*a*(a - 2)*(a + 2)
Let y(s) = -2*s**5 + 5*s**4 - 3*s**3 + 5*s**2 + 5*s + 5. Let k(o) = o**5 - 2*o**4 + o**3 - 2*o**2 - 2*o - 2. Let a(c) = -5*k(c) - 2*y(c). Factor a(m).
-m**3*(m - 1)*(m + 1)
Suppose 2*v = -3*g + v + 12, 2*v + 4 = g. Determine h, given that 3*h**3 - h**4 + 3*h**2 - h**2 + 3*h**g - 7*h**3 = 0.
0, 1
Suppose 0 = 3*d + 9, 0 = -j + d + 5. Let u be (-16)/18*(-15)/10. Factor 1/3 + j*m**2 - u*m**3 - 4/3*m + 1/3*m**4.
(m - 1)**4/3
Let p(r) be the third derivative of r**6/60 - r**4/4 - 2*r**3/3 - 4*r**2. Factor p(s).
2*(s - 2)*(s + 1)**2
Let y be (16/(-648))/((-1)/6). Let i(j) be the second derivative of -y*j**3 - 1/9*j**2 - 2/45*j**5 + j - 1/135*j**6 - 1/9*j**4 + 0. Factor i(d).
-2*(d + 1)**4/9
Let w be 14/(-28)*(-2)/2*1. Let a = 7/6 + -11/12. Determine y, given that -1/4*y**3 + w*y**2 - a*y + 0 = 0.
0, 1
Let k(t) be the first derivative of -t**6 - 3*t**5 - 3*t**4 - t**3 + 23. Factor k(z).
-3*z**2*(z + 1)**2*(2*z + 1)
Let a = 24/67 - 82/603. Let -2/9*u**2 - a - 4/9*u = 0. Calculate u.
-1
Let g(r) be the first derivative of -40*r**3/9 - r**2 + 4*r/3 + 12. Suppose g(x) = 0. Calculate x.
-2/5, 1/4
Let j(t) be the third derivative of t**8/840 + 4*t**7/525 - t**6/150 - 2*t**5/25 + 3*t**4/20 + 21*t**2. Let j(q) = 0. What is q?
-3, 0, 1
Let o = -40 - -561/14. Let p(g) be the second derivative of 0 + 0*g**2 - 2*g - 1/35*g**5 - 1/21*g**3 - o*g**4. Find y, given that p(y) = 0.
-1, -1/2, 0
Find i such that 3/2*i**4 + 0*i**2 + 9/4*i**3 + 1/4*i**5 + 0*i + 0 = 0.
-3, 0
Let m be (-1)/(28/24)*(-1)/3. Factor -4/7*w**2 - 2/7*w**5 + 0*w**3 + 4/7*w**4 + 0 + m*w.
-2*w*(w - 1)**3*(w + 1)/7
Let m(a) = 11*a**3 + a**2 - a + 2. Let i(c) = -5*c**3 - 1. Let l(d) = -7*i(d) - 3*m(d). Let x(p) = -p**3 - p - 1. Let q(h) = 2*l(h) + 2*x(h). Factor q(f).
2*f*(f - 2)*(f - 1)
Let o(h) be the third derivative of h**5/420 + h**4/24 - 4*h**3/21 - 12*h**2 + 2*h. Suppose o(z) = 0. Calculate z.
-8, 1
Let x(b) = 5*b**2 + 2*b + 1. Let m be x(-1). Let f be 2 - (3 + -3 + -1). Factor 3*r**5 - 6*r**f - 3*r**m + 6*r**3.
3*r**4*(r - 1)
Suppose -3*q = -6*q + 6. Suppose 6*b**2 - b**3 + 0*b + 0*b**3 + 1 - 3*b - 3*b**q = 0. What is b?
1
Suppose 3*y - 1 - 4 = -4*o, 0 = -4*y - 3*o + 2. Let q be (y/4)/((-2)/2). Factor q*d**5 + 1/4*d**3 - 1/2*d**4 + 0 + 0*d + 0*d**2.
d**3*(d - 1)**2/4
Let c(o) = -o**2 - o - 1. Let j(h) = 4*h**2 + 18*h + 34. Let i(t) = 2*c(t) + j(t). Suppose i(u) = 0. Calculate u.
-4
Let b(c) be the first derivative of -2 - 1/25*c**5 + 0*c**2 - 1/30*c**6 + 0*c + 1/20*c**4 + 1/15*c**3. Let b(g) = 0. What is g?
-1, 0, 1
Suppose 5*z = -5, -5*m - 5*z = -18 - 7. Let -3 - 1 - 2*g**2 - 4*g**2 + 4*g**2 + m*g = 0. What is g?
1, 2
Let z(a) be the second derivative of -a**5/18 - a**4/18 - a**2/2 + 3*a. Let o(s) be the first derivative of z(s). Factor o(r).
-2*r*(5*r + 2)/3
Let g(l) be the second derivative of 3/100*l**5 - 1/50*l**6 + 0*l**4 + l + 0 + 0*l**2 + 0*l**3. Factor g(x).
-3*x**3*(x - 1)/5
Let f(a) be the third derivative of 1/2*a**3 + 7/40*a**6 + 1/224*a**8 + 3/70*a**7 + 0 + 0*a - 4*a**2 + 9/16*a**4 + 2/5*a**5. Factor f(s).
3*(s + 1)**4*(s + 2)/2
Let i(x) be the third derivative of 3*x**6/320 + x**5/80 - 3*x**4/16 - x**3/2 - 7*x**2. Let i(r) = 0. Calculate r.
-2, -2/3, 2
Let s(v) be the second derivative of -2*v**7/21 + 2*v**6/15 + v**5/5 - v**4/3 - 2*v. Solve s(g) = 0.
-1, 0, 1
Let q(w) = w**3 + w - 1. Let o(a) = -a**5 - 9*a**4 - 27*a**3 - 7*a**2 + 20*a + 20. Let h(b) = o(b) + 4*q(b). Factor h(n).
-(n - 1)*(n + 1)**2*(n + 4)**2
Let x(h) be the second derivative of -1/6*h**3 - 1/8*h**2 + 0 - 5/48*h**4 - 1/40*h**5 - 4*h. Let x(c) = 0. What is c?
-1, -1/2
Let n(x) be the first derivative of -2/5*x**3 + 5 + 0*x - 2/5*x**2. Solve n(u) = 0 for u.
-2/3, 0
What is x in -16*x**4 - 57*x - 35*x**3 + 47*x**2 + 18 + 19*x**3 + 24*x**3 = 0?
-2, 3/4, 1
Let d(y) be the third derivative of -y**6/120 - y**5/20 - y**4/12 - 2*y**3/3 + y**2. Let h be d(-3). Determine u, given that -1/4*u**h - 1/4 - 1/2*u = 0.
-1
Factor -2 + 5*g**2 + 25 + 20 - 45*g - 3.
5*(g - 8)*(g - 1)
Let f(r) be the third derivative of -r**7/1260 + r**6/180 + 5*r**4/24 + r**2. Let k(o) be the second derivative of f(o). Factor k(x).
-2*x*(x - 2)
Let w = -112 - -562/5. Suppose 0 = -5*m + 19 - 19. Solve -w + 2/5*k**2 + m*k = 0.
-1, 1
Let v(h) be the third derivative of 1/270*h**5 - 2/27*h**3 + 0 - 1/108*h**4 + 4*h**2 + 0*h. Factor v(q).
2*(q - 2)*(q + 1)/9
Let f(g) be the third derivative of 2*g**7/105 + g**6/10 + g**5/5 + g**4/6 - 3*g**2 - 7. Let f(w) = 0. What is w?
-1, 0
Let n(x) be the first derivative of 2*x**6/21 - 18*x**5/35 + 8*x**4/7 - 4*x**3/3 + 6*x**2/7 - 2*x/7 + 9. Factor n(u).
2*(u - 1)**4*(2*u - 1)/7
Let h(j) be the third derivative of j**5/420 + j**4/84 - j**3/14 + 13*j**2. What is c in h(c) = 0?
-3, 1
Let r(m) be the second derivative of m**4/54 - 2*m**3/27 - m**2/3 - 3*m. Determine c so that r(c) = 0.
-1, 3
Let m(o) be the second derivative of -o**5/5 - o**4/6 + 8*o**3/3 + 2*o**2 + 3*o. Let b(x) = x**3 + x**2 - 5*x - 1. Let n(t) = 7*b(t) + 2*m(t). Factor n(u).
-(u - 1)**3
Factor -2/9*d**4 + 0*d**3 + 2/9*d**2 + 0*d + 0.
-2*d**2*(d - 1)*(d + 1)/9
Factor -5/4*p**3 - p**4 - 1/4*p**2 + 0*p + 0.
-p**2*(p + 1)*(4*p + 1)/4
Let d(k) be the third derivative of k**2 + 1/3*k**3 + 0 - 1/12*k**4 + 1/60*k**6 + 0*k - 1/30*k**5. Find q, given that d(q) = 0.
-1, 1
Let n(u) be the first derivative of 0*u**3 + 3*u**2 + 10 - 1/2*u**4 + 4*u. Factor n(k).
-2*(k - 2)*(k + 1)**2
Let q(i) be the first derivative of 2*i**3/21 + i**2/7 - 4*i/7 - 7. Let q(o) = 0. Calculate o.
-2, 1
Suppose 3*i + 2*i = 0. Let n(l) be the third derivative of 0 + 2/15*l**3 + i*l + 1/60*l**4 - 1/150*l**5 - 2*l**2. Factor n(x).
-2*(x - 2)*(x 