so that -3*k**3 + 4*k**3 + 3*k**p - 7*k**2 + 3*k**2 = 0.
0, 1
Let y be (3 + 1)*1/2. Let b be 28/(-63) - y/(-3). Determine v so that 2/9*v**2 - b*v + 0 = 0.
0, 1
Let c = -7 - -12. Solve r + 7 - r**2 - r**3 - c - 1 = 0 for r.
-1, 1
Let f be (-9)/(-6)*(-40)/(-12). Factor 2*s**3 - 3*s + s - s**4 - 2 - 2 + f.
-(s - 1)**3*(s + 1)
Let 12/5*d**4 + 0*d - 4/5*d**5 - 28/5*d**2 + 16/5 + 4/5*d**3 = 0. What is d?
-1, 1, 2
Suppose 5*r - 6 = 2*r. Let y be ((-1)/(-3))/((-3)/(-27)). Let 2/3 + 2/3*h - 2/3*h**r - 2/3*h**y = 0. What is h?
-1, 1
Suppose -2*p = -5*p + 12. Determine v, given that -4/3*v**3 + 4/3*v + 2/3*v**p + 0 - 2/3*v**2 = 0.
-1, 0, 1, 2
Suppose -2 = 7*h - 23. Factor 0*m - 2/5*m**2 + 0 + 2/5*m**5 - 2/5*m**h + 2/5*m**4.
2*m**2*(m - 1)*(m + 1)**2/5
Let j(r) be the first derivative of -2*r**7/35 - 7*r**6/30 - r**5/3 - r**4/6 - 3*r**2 + 8. Let b(f) be the second derivative of j(f). Factor b(i).
-4*i*(i + 1)**2*(3*i + 1)
Let i(m) = -6*m - 4. Let g(b) = -b**2 - 6*b - 5. Let s(y) = 5*g(y) - 6*i(y). Let l(u) = 9*u**2 - 11*u + 2. Let r(n) = -6*l(n) - 11*s(n). Factor r(j).
(j - 1)*(j + 1)
Let v(j) be the third derivative of -j**5/360 - j**4/12 + 32*j**2 + 2. Determine i so that v(i) = 0.
-12, 0
Suppose s + 5*q - 9 = 2*s, 4*q = 3*s + 5. Suppose s = y - 3. What is t in 3*t**3 - y*t**3 - 5*t + 5*t + t = 0?
-1, 0, 1
Let a(g) be the second derivative of -g**5/210 - 3*g**2/2 - g. Let v(p) be the first derivative of a(p). Factor v(q).
-2*q**2/7
Let t(n) be the third derivative of -n**6/30 - 2*n**5/15 - n**2. Factor t(g).
-4*g**2*(g + 2)
Factor 4/7*r**3 + 0 + 0*r + 8/7*r**2.
4*r**2*(r + 2)/7
Suppose -3*r + 0*r = -6. Suppose 2*c**3 - 3*c + 4*c**2 - 5*c**r + 3*c**2 + c - 2 = 0. What is c?
-1, 1
Let l(s) be the first derivative of 0*s + 0*s**3 + 1/2*s**2 - 2 - 9/16*s**4 + 1/8*s**6 + 1/10*s**5. Find n such that l(n) = 0.
-2, -2/3, 0, 1
Factor -3/2*c**2 - 3/2*c + 3.
-3*(c - 1)*(c + 2)/2
Let p(b) = b**5 - b**3 - b - 1. Let x(h) = 6*h**5 - 18*h**3 - 8*h**2 + 10*h + 6. Let j(l) = -2*p(l) + x(l). Factor j(g).
4*(g - 2)*(g - 1)*(g + 1)**3
Suppose -10 = 5*s - 55. Let 9*w**3 + 6*w + 3*w**4 - 9*w**2 - s*w**3 = 0. Calculate w.
-2, 0, 1
Let r = 2 - -1. Suppose -r*v + 0*v = 3*q, 2*q = 3*v + 10. Let -1/3*i**5 + 1/3*i**4 + 1/3*i**3 - 1/3*i**q + 0 + 0*i = 0. Calculate i.
-1, 0, 1
Determine n so that -9*n + 4*n**4 + n - 16*n**3 + 24*n**2 - 4*n**2 = 0.
0, 1, 2
Let o(t) be the third derivative of 5*t**8/336 - t**7/21 - t**6/24 + t**5/6 + 2*t**2 + 25. Factor o(w).
5*w**2*(w - 2)*(w - 1)*(w + 1)
Solve -36/7*q**2 + 24/7*q - 24/7*q**3 + 6/7*q**4 + 30/7 = 0 for q.
-1, 1, 5
Let h(d) = -6*d**3 - 9*d**2 - d + 9. Let i(l) = -5*l**3 - 8*l**2 - l + 8. Let u(s) = -6*h(s) + 7*i(s). Determine a so that u(a) = 0.
-1, 1, 2
Let y = 36 + -33. Factor 0 - 1/4*f**5 + 1/2*f**y + 0*f**4 + 0*f**2 - 1/4*f.
-f*(f - 1)**2*(f + 1)**2/4
Let w(x) = -x**2 - x + 1. Let m(a) = -12*a**2 - 11*a + 12. Let l(p) = -2*p - 8. Let d be l(7). Let t(b) = d*w(b) + 2*m(b). Solve t(c) = 0 for c.
-1, 1
Factor a**2 - 4*a + 5*a + 3*a + 3*a**2.
4*a*(a + 1)
Determine w so that 305*w**2 + 201*w**5 - 521*w**5 + 20*w**3 - 146*w**4 - 105*w + 10 - 574*w**4 = 0.
-2, -1, 1/4
Factor 23*r - 21*r - 4*r**4 - r**5 + 4*r**2 - r**5.
-2*r*(r - 1)*(r + 1)**3
Suppose 0 = 6*f - f - 25. Suppose f*u + 2*u - 3*u**3 - 4*u - 3 + 3*u**2 = 0. What is u?
-1, 1
Let f be 75/50 + 46/(-36). Suppose 0*m + 2/9*m**2 - f = 0. Calculate m.
-1, 1
Let j(h) = -h**3 + 7*h**2 + h + 5. Let g be j(7). Factor -9*u**3 - 2*u**3 + 1 + g*u**3 + 3*u**2 + 3*u.
(u + 1)**3
Solve 0*o**2 + 2/7*o**3 - 2/7*o + 0 = 0 for o.
-1, 0, 1
Let s = 22 - 12. Let u(n) = n. Let g(c) = 2*c**2 + 10*c. Let w(a) = s*u(a) - g(a). Factor w(z).
-2*z**2
Let n be (-9 + -1)*(-6)/15. Let u(l) be the first derivative of 0*l**n + 2 + 1/3*l**3 - 1/5*l**5 + 0*l**2 + 0*l. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let t(b) = b**2 - 6*b + 9. Let h be t(6). Let s = h + -5. Let -2*m - 3*m + 9*m**s - 20*m**3 + 3*m + 13*m**2 = 0. What is m?
0, 2/9, 1
Let k = 34 + -29. Let w(h) be the third derivative of -3*h**2 + 1/24*h**4 - 1/60*h**k + 0*h**3 + 0 + 0*h. Suppose w(t) = 0. Calculate t.
0, 1
Let c(j) be the second derivative of 3*j + 0*j**3 + 0 + 1/5*j**5 + 1/15*j**6 + 0*j**2 + 1/6*j**4. Suppose c(i) = 0. What is i?
-1, 0
Suppose 15 = -q + 4*q. Suppose n + 8 = q*n. Factor -2*u**3 + n*u**4 + u**5 + 0*u**3 + 3*u**3.
u**3*(u + 1)**2
Determine v, given that -75/7*v + 12/7 + 18*v**2 - 27/7*v**3 = 0.
1/3, 4
Let w = -8 - -11. Let l(s) be the first derivative of -3/8*s**4 + 1/2*s**w - 1/4*s**2 + 0*s - 3 + 1/10*s**5. Factor l(a).
a*(a - 1)**3/2
Factor -4/13*f**2 + 0*f - 12/13*f**4 - 2*f**3 + 0.
-2*f**2*(f + 2)*(6*f + 1)/13
Suppose -6*s + s + 20 = 0. Solve -3/4*a**5 + 1/4*a**3 - a**s + 1/2*a**2 + 0*a + 0 = 0 for a.
-1, 0, 2/3
Let x = -22/13 - -189/104. Let z(o) be the third derivative of o**2 + 1/20*o**5 - x*o**4 + 0*o + 0*o**3 + 0. Let z(n) = 0. What is n?
0, 1
Solve -20/3 + 5/3*r**3 + 40/3*r - 25/3*r**2 = 0.
1, 2
Let v(n) be the third derivative of -4/3*n**3 + 1/3*n**4 + 0*n + 6*n**2 - 1/30*n**5 + 0. Suppose v(x) = 0. What is x?
2
Let l(n) be the first derivative of 0*n**2 + 2/5*n**5 + 3 + 2/3*n**3 + 0*n - n**4. Solve l(o) = 0 for o.
0, 1
Let v(l) be the third derivative of l**7/105 - l**5/30 + 15*l**2. Factor v(t).
2*t**2*(t - 1)*(t + 1)
Let i be (0 - -1 - 175/(-135)) + -2. Let m(b) be the first derivative of 4/9*b + 1/18*b**4 + 5/9*b**2 - 1 + i*b**3. Suppose m(a) = 0. What is a?
-2, -1
Let f(o) be the first derivative of -o**6/14 - 6*o**5/35 + 7. Factor f(z).
-3*z**4*(z + 2)/7
Let j = 207097/2730 - 531/7. Let o(y) be the third derivative of j*y**5 + 0*y + 2/39*y**3 + 0 + 1/52*y**4 + 3*y**2. Factor o(u).
2*(u + 1)*(u + 2)/13
Suppose 0 = -3*q + 8*q - 20. Let s(b) = b - 2. Let r be s(q). Factor 0*a - 2*a + 8 + r*a**3 - 9 + a**4.
(a - 1)*(a + 1)**3
Let f be (-32)/(-12)*(-3)/2. Let x be 3 + -2 + (-14)/f. Factor -1/2*o**2 - x + 3*o.
-(o - 3)**2/2
Let g(i) = i**3 + 5*i**2 - 7*i - 4. Suppose m + 24 = -3*m. Let x be g(m). Factor n + 2 + 1 + x*n**2 + n**2 + 5*n.
3*(n + 1)**2
Solve -19*a - 1 + 15*a - 1 - 6 + 4*a**2 = 0.
-1, 2
Let u(b) be the third derivative of b**8/84 - 2*b**7/35 + 12*b**2. Factor u(z).
4*z**4*(z - 3)
Let g(b) = 13 - 3*b - 22*b + 9*b - 4*b**3. Let z(s) = -3*s**3 - 15*s + 12. Let a(n) = 6*g(n) - 7*z(n). Factor a(i).
-3*(i - 1)**2*(i + 2)
Let a(h) be the third derivative of 1/2*h**3 + 3/50*h**5 + 0 - h**2 + 0*h - 1/10*h**4 - 3/200*h**6. Let d(s) be the first derivative of a(s). Factor d(l).
-3*(3*l - 2)**2/5
Suppose -2*l = -2*s, s - 4*s = -5*l + 4. Factor 2*w**2 - 6*w**l - 3 + 7*w**2 - 12*w**3 + 12*w.
-3*(w - 1)*(w + 1)*(4*w - 1)
Let w(b) = -b**3 + 5*b**2 - 3*b + 1. Let y = 9 - 5. Let o be w(y). Suppose o*t**4 - 8*t**2 + 2*t**4 + 2*t**3 - 2*t + t**4 = 0. What is t?
-1, -1/4, 0, 1
Let r = 2 + 1. Let b be 20/(-12)*1 + r. What is a in 0 + 0*a**2 + b*a - a**3 + 1/3*a**4 = 0?
-1, 0, 2
Let n(i) be the third derivative of -i**5/120 - i**4/48 - 7*i**2. Solve n(l) = 0.
-1, 0
Let m(a) be the second derivative of -1/2*a**2 - 1/30*a**6 + 0 - 1/6*a**3 + 1/10*a**5 + a - 1/42*a**7 + 1/6*a**4. Find x, given that m(x) = 0.
-1, 1
Let s be 2/8 + 161/28 + -6. Solve 0 + s*q + 1/5*q**2 = 0.
0
Let s be (-1 - 0)/((-6)/30) + -2. Find j, given that 0*j - 2/5*j**4 + 0 + 2/5*j**2 + 0*j**s = 0.
-1, 0, 1
Let j be ((-2)/(-4))/((-6)/108). Let k be (-4)/j - (-2)/9. Determine u so that k + 2/3*u - 2/3*u**3 - 2/3*u**2 = 0.
-1, 1
Let x(m) be the third derivative of -m**5/60 + m**4/8 - m**3/3 + 19*m**2. Factor x(t).
-(t - 2)*(t - 1)
Let l(g) be the first derivative of 2*g**5 + 17*g**4/2 + 4*g**3 - 20*g**2 - 16*g + 4. Suppose l(o) = 0. Calculate o.
-2, -2/5, 1
Let s(m) be the first derivative of 2/3*m**2 - 2/3*m - 1/3*m**4 - 4 + 0*m**3 + 2/15*m**5. Suppose s(w) = 0. Calculate w.
-1, 1
Factor -9/2*j**4 + 4*j**2 + 2*j - 3/2*j**3 + 0.
-j*(j - 1)*(3*j + 2)**2/2
Suppose -4*s + 2*x = -12, -2*x - 15 = -5*s + x. Suppose 6*j - j = s*l + 4, 5*l = 5*j. Factor l*b**4 + b**5 + 0*b**3 - b**3 - 3*b**4 + b**2.
b**2*(b - 1)**2*(b + 1)
Let x(q) be the first derivative of 4*q**5/35 + 3*q**4/7 + 4*q**3/7 + 2*q**2/7 - 19. Factor x(i).
4*i*(i + 1)**3/7
Factor 2/11*y**2 - 4/11*y + 2/11*y**3 + 0.
2*y*(y - 1)*(y + 2)/11
Let s(h) be the second derivative of -h**4/6 + h**3/3 - 3*h. Solve 