1, 0, 1
Let a(r) = 9*r**2 + 15*r + 8. Let t(p) = -4*p**2 - 7*p - 4. Suppose s = 3*s + z - 25, -20 = -s + 2*z. Let x(n) = s*t(n) + 6*a(n). Solve x(c) = 0.
-2
Factor -4*y**3 + 12*y**3 - 9*y**3.
-y**3
Let 3/8*g**2 + 3/8*g**3 + 1/8*g**4 + 1/8*g + 0 = 0. What is g?
-1, 0
Let a(i) = -5*i**4 - 9*i**3 - 4*i**2 - 2*i. Let k(h) = -6*h**4 - 9*h**3 - 3*h**2 - 3*h. Let q = -14 - -11. Let x(r) = q*a(r) + 2*k(r). Factor x(n).
3*n**2*(n + 1)*(n + 2)
Let c(w) be the first derivative of -10*w**6/3 + 92*w**5/5 - 10*w**4 - 32*w**3/3 + 13. Determine u so that c(u) = 0.
-2/5, 0, 1, 4
Let p(r) be the second derivative of 0*r**3 - 3*r - 1/84*r**4 - 1/140*r**5 + 0 + 0*r**2 + 1/294*r**7 + 1/210*r**6. Factor p(t).
t**2*(t - 1)*(t + 1)**2/7
Let t = -78 - -83. Let x(a) be the third derivative of 1/4*a**4 + a**2 + 0*a + 0 + 0*a**3 + 3/20*a**t + 1/40*a**6. Find s such that x(s) = 0.
-2, -1, 0
Let z(k) = 80*k**2 + 2645*k + 13500. Let n(w) = 3*w**2 + 98*w + 500. Let i(l) = 55*n(l) - 2*z(l). Determine f, given that i(f) = 0.
-10
Suppose -5*u - 2*b + 29 + 79 = 0, 88 = 4*u + 2*b. Let l be -3*1 + 70/u. Solve 1/2*p**5 - 1/2*p**4 - 1/2 + p**2 + l*p - p**3 = 0 for p.
-1, 1
Let b = 39/20 + -6/5. Find p, given that 0 - 75/4*p**3 - b*p + 15/2*p**2 = 0.
0, 1/5
Let w = 485 + -483. Factor 2/3*g**4 - 2/3 - 4/3*g + 0*g**w + 4/3*g**3.
2*(g - 1)*(g + 1)**3/3
Let k(g) = 3*g**5 - g**4 + g + 1. Suppose -20 = 2*s - 0. Let l be (4/s)/(1/5). Let p(i) = i**5 - i**4 + i**3 + i**2. Let q(v) = l*k(v) + 4*p(v). Solve q(n) = 0.
-1, 1
Suppose -5*a + 9*a = 88. Let 2*q**4 + a*q**3 + q - 10*q**2 - 5*q - 10*q**4 = 0. Calculate q.
-1/4, 0, 1, 2
Suppose -1 = 7*y + 6. Let n be (-17)/(-5) - y/(-5). Find r such that -18/5*r**5 + 2/5*r + n*r**3 + 0 - 12/5*r**2 + 12/5*r**4 = 0.
-1, 0, 1/3, 1
Suppose 2*o = 7 + 5. Let i(w) = -w**2. Let a(j) = 4*j**3 + 10*j**2 - 16*j - 16. Let k(p) = o*i(p) + a(p). Factor k(c).
4*(c - 2)*(c + 1)*(c + 2)
Let p be ((-3)/(-9))/((-3)/(-72)). Let o be 28/p*4/7. Factor 2*c - 2*c**3 - o + 0*c**3 - 2*c**2 + 4*c**2.
-2*(c - 1)**2*(c + 1)
Let y(h) be the second derivative of -3*h**5/20 + 15*h. Factor y(v).
-3*v**3
Suppose 0 = -131*j + 141*j. Determine u, given that -3*u**4 + 0*u + 0*u**2 - 3/2*u**3 - 3/2*u**5 + j = 0.
-1, 0
Let g be (16/12)/((-2)/6). Let a(x) = -3*x**3 - 4*x**2 + 9*x - 6. Let j(f) = f**3 - f + 1. Let l = 12 + -13. Let p(z) = g*j(z) + l*a(z). Factor p(k).
-(k - 2)*(k - 1)**2
Let t(h) be the third derivative of -h**7/1680 - h**6/192 - h**5/60 - h**4/48 + 12*h**2. Let t(k) = 0. What is k?
-2, -1, 0
Let u(q) be the third derivative of 2*q**2 + 0 - 1/12*q**4 + 1/15*q**5 + 0*q**3 + 0*q - 1/60*q**6. Solve u(n) = 0 for n.
0, 1
Let q = -409 - -1645/4. Determine w so that -q*w**2 + 0 - 1/2*w = 0.
-2/9, 0
Let r(v) be the first derivative of 7 - 7/3*v**2 - 55/18*v**3 + 59/30*v**5 - 2/3*v - 7/24*v**4 + 35/36*v**6. What is u in r(u) = 0?
-1, -2/5, -2/7, 1
Let c(m) be the first derivative of -5*m**3/3 + 15*m**2/2 - 24. Factor c(a).
-5*a*(a - 3)
Let n = 3942/5 - 786. Suppose -8/5*a - 2/5 - 8/5*a**3 - 2/5*a**4 - n*a**2 = 0. Calculate a.
-1
Let o(n) be the third derivative of n**6/60 - n**5/10 + n**4/4 - n**3/3 - 8*n**2. Find m, given that o(m) = 0.
1
Let j(o) be the third derivative of 0 + o**2 - 1/160*o**6 + 0*o + 0*o**3 - 1/32*o**4 - 1/40*o**5. Suppose j(t) = 0. What is t?
-1, 0
Let q(n) be the third derivative of -7/120*n**5 - 1/12*n**3 + 0*n + 5/48*n**4 + 1/80*n**6 - 7*n**2 + 0. Factor q(h).
(h - 1)**2*(3*h - 1)/2
Let r be ((-994)/(-8))/((-25)/(-20)). Let t = r - 99. Factor -2/5*o**2 + 0 + t*o.
-2*o*(o - 1)/5
Let s(w) be the third derivative of -w**6/540 - w**5/135 - w**4/108 + 41*w**2 - 2*w. Factor s(k).
-2*k*(k + 1)**2/9
Let j be (-2 - 135/(-25)) + (-3 - 0). Let 6/5*g + 2/5*g**3 + 6/5*g**2 + j = 0. What is g?
-1
Let z(f) be the third derivative of f**8/672 - f**7/315 - f**6/360 + f**5/90 - f**4/144 + 2*f**2 + 10. Suppose z(r) = 0. What is r?
-1, 0, 1/3, 1
Let r(m) = 4*m**2 - m**3 - m + 3 - 1 - 2*m. Let g be r(3). Solve 6/5*v**g + 2/5 + 6/5*v + 2/5*v**3 = 0 for v.
-1
Let f(w) be the first derivative of 9*w**4/7 - 2*w**3/7 - 4*w**2/7 + 2*w/7 - 4. Solve f(h) = 0.
-1/2, 1/3
Factor -6*v**4 - 9*v**3 - 2*v**5 - 4*v + 0*v - 9*v**3 - 14*v**2 - 4*v**4.
-2*v*(v + 1)**3*(v + 2)
Let h(d) = 3*d**3 + d - 2. Let y = -6 + 15. Let k(s) = -13*s**3 + s**2 - 4*s + 9. Let r(z) = y*h(z) + 2*k(z). Factor r(w).
w*(w + 1)**2
Factor -4*h**3 + 2*h**5 + 8 + h**3 - 14*h**2 - 7*h**3 - 2*h**4 + 16*h**2 + 16*h.
2*(h - 2)**2*(h + 1)**3
Let l(z) = 2*z**2 - 2*z + 2. Let f be l(2). Let w be 1*(-4)/f + 1. Factor 1/3*a**4 + 1/3*a**5 - w*a**3 + 0 + 0*a - 1/3*a**2.
a**2*(a - 1)*(a + 1)**2/3
Let n(w) be the first derivative of 5*w**4/4 + 25*w**3/3 + 20*w**2 + 20*w - 6. Factor n(t).
5*(t + 1)*(t + 2)**2
Let y(j) = -j**3 + 11*j**2 - 13*j - 86. Let n be y(8). Suppose 0 = 8*w - 5*w - 3*t + 3, -5 = 4*w - 5*t. Find p such that p + w + 1/2*p**n = 0.
-2, 0
Suppose 4 + 3/2*b**3 + b**2 - 6*b - 1/2*b**4 = 0. What is b?
-2, 1, 2
Let j(p) be the third derivative of 1/105*p**7 + 0*p - 1/15*p**5 + 0*p**6 + 1/3*p**3 - 3*p**2 + 0 + 0*p**4. Let j(b) = 0. Calculate b.
-1, 1
Suppose 4*x - 31 = v - 6, -4*v + 3*x - 74 = 0. Let r = -12 - v. Determine f, given that 2*f - 3*f**2 - 1 + r - 3 = 0.
-1/3, 1
Suppose s**4 + 6*s**2 - 4 + 4 - 7*s**2 + s**3 - s**5 = 0. What is s?
-1, 0, 1
Suppose -5*s - 5*l + 3 = -17, s - 4*l = 4. Let d = 1 - -2. Determine u so that u**d + 5 + u**4 + 4*u + 6*u**2 - s + 3*u**3 = 0.
-1
Let w(u) be the first derivative of 3*u**4/4 - 4*u**3 + 6*u**2 - 15. Factor w(k).
3*k*(k - 2)**2
Let d = -8 + 19. Let 2*c - 4*c**2 - 18*c**4 - 2*c**5 + d*c**4 + 11*c**4 = 0. Calculate c.
-1, 0, 1
Let t = 1 + 1. Find r such that 4 - 7*r**t + r + 6*r**2 - 2 = 0.
-1, 2
Let b(v) be the second derivative of -1/72*v**4 + 0*v**2 + 0 + 1/40*v**5 + 3*v - 1/60*v**6 + 1/252*v**7 + 0*v**3. Factor b(n).
n**2*(n - 1)**3/6
Let q(v) = v**3 + 11*v**2 - 11*v + 11. Let o be q(-12). Let f be o/((-24)/(-9) + -3). Factor 3/2*c + 1/2*c**f + 3/2*c**2 + 1/2.
(c + 1)**3/2
Let s = -6 + 8. Suppose 10*w**s + w**3 - 10*w**2 = 0. What is w?
0
Let r(i) be the third derivative of i**7/105 + i**6/30 - i**4/6 - i**3/3 + 2*i**2 + 30. Factor r(k).
2*(k - 1)*(k + 1)**3
Suppose -37 + 185 = 4*z. Let u = z + -37. What is g in u - 2/7*g + 4/7*g**4 + 0*g**3 - 4/7*g**2 + 2/7*g**5 = 0?
-1, 0, 1
Let j = -5 + 2. Let t(m) = m**3 + 5*m**2 + 5*m + 2. Let o be t(j). Solve -9*y + 2*y**o + 8*y - 3*y**5 + 2*y**3 = 0 for y.
-1, 0, 1
Let b(d) be the first derivative of -6*d + 9*d**3 + 1 - 21/2*d**2. Let b(r) = 0. Calculate r.
-2/9, 1
Let l = 1 + 2. Find h such that -10*h - 6*h**2 - 19*h**3 - 5 + 30*h + 4*h**4 + 3*h**5 - l + 6*h**3 = 0.
-2, 2/3, 1
Let b(g) be the second derivative of g**4/6 - g**3/6 - 3*g. What is z in b(z) = 0?
0, 1/2
Let v(b) = -b**2 + 7*b - 4. Let q be v(6). Let -3/2*j**q - 1/2 + 3/2*j + 1/2*j**3 = 0. What is j?
1
Let l be 5/4*(-4)/30*-33. Determine k so that -1/4 - 9/4*k**4 - 6*k**3 - l*k**2 - 2*k = 0.
-1, -1/3
Let g(d) be the third derivative of 1/45*d**5 + 0*d + 0*d**3 - 1/36*d**4 + 0 - 1/180*d**6 + 3*d**2. Factor g(u).
-2*u*(u - 1)**2/3
Let m be ((-12)/21)/((-4)/14). Let g(x) be the first derivative of 4*x - 3*x**m + 2/3*x**3 + 1. Find a such that g(a) = 0.
1, 2
Factor 2/3*l**2 + 4 + 10/3*l.
2*(l + 2)*(l + 3)/3
Suppose -6*b + 4*b - 2 = -4*s, -4*b + 2*s + 8 = 0. Suppose -x - 3*i = 7, 0*i + 13 = 2*x - b*i. Factor 4 + 1 - 2 + 3*y**x + 9*y + 3.
3*(y + 1)*(y + 2)
Let c = -89 + 95. Factor -c + 4*m - 2/3*m**2.
-2*(m - 3)**2/3
Let t = -10 + 10. Let r(o) be the second derivative of 0*o**4 - 1/168*o**7 - 2*o - 1/60*o**6 + t*o**2 - 1/80*o**5 + 0 + 0*o**3. Solve r(j) = 0 for j.
-1, 0
Suppose 2*g + 6 = 4*g. Factor -3*a + 0 + 3/2*a**2 + 3/2*a**g.
3*a*(a - 1)*(a + 2)/2
Suppose -k = -5*s - 19, -5*k - 5*s + 4 = -1. Let w be (4/(-3))/(k/(-6)). Suppose -x**2 + x**2 + 4*x + 2 + w*x**2 = 0. What is x?
-1
Let a = -19 - -27. Let g(h) = -h**2 + 10*h - 12. Let m be g(a). Determine l so that -8*l**3 + 5 - 5 + 2*l + 6*l**5 + 4*l**2 - m*l**4 = 0.
-1, -1/3, 0, 1
Let x be (-9)/15 - (-286)/10. Let q be ((-6)/(-4))/(21/x). Factor 0*d - 4/5*d**3 - 2/5*d**q + 0 - 2/5*d**4.
-2*d**2*(d + 1)**2/5
Let a(v) be the first derivative of 16*v**3/3 + 19*v**2/2 + 45*v + 4. Let j(c) = 3*c**2 + 4*c + 9. Let p(o) = -2*a(o) + 