= 0.
0, 2/3, 1
Let w(a) be the first derivative of a**6/24 - a**4/4 - 29. Suppose w(t) = 0. What is t?
-2, 0, 2
Let h(x) = -3*x + 4. Let r be h(-2). Let m be 1 - (2 + r/(-6)). Factor 0*b + 0 - m*b**2.
-2*b**2/3
Let a(r) be the first derivative of r**9/1512 + r**8/480 + r**7/840 - r**6/720 + r**3 + 2. Let z(m) be the third derivative of a(m). Factor z(v).
v**2*(v + 1)**2*(4*v - 1)/2
Let c be (-664)/558 - 4/(-18). Let j = 458/217 + c. Factor -j - 8/7*o - 2/7*o**2.
-2*(o + 2)**2/7
Let u(f) be the second derivative of 21*f**5/100 + f**4/10 - 7*f**3/10 - 3*f**2/5 - 16*f. Find s such that u(s) = 0.
-1, -2/7, 1
Let 1/4*f**2 + 0*f - 1/4 = 0. Calculate f.
-1, 1
Let n be (-23)/92*(-8)/3. Solve 0*t - n*t**2 + 0 - 2/3*t**4 + 4/3*t**3 = 0.
0, 1
Let b(s) be the second derivative of s**5/35 - s**4/7 + 4*s**3/21 + 6*s. Factor b(c).
4*c*(c - 2)*(c - 1)/7
Suppose -2*y + 1 = -3. Let 3*i**3 + 0*i - 2*i**3 + 2*i**y + 0*i = 0. What is i?
-2, 0
Let c(y) be the third derivative of 0*y**4 + y**2 - 1/180*y**6 - 1/30*y**5 + 0*y - 1/6*y**3 + 0. Let w(b) be the first derivative of c(b). Factor w(k).
-2*k*(k + 2)
Let b(x) = -5*x**2 + 3 - x**3 - x**4 + 4*x**2 + 0*x**4 + 0*x**4. Let k(l) = -l**3 + 1. Let i(s) = b(s) - 3*k(s). Let i(a) = 0. Calculate a.
0, 1
Let z(t) = -3*t**3 + 4*t**2 + 6*t + 6. Let g be z(-4). Factor -3*d**4 + 324*d - 9*d**3 + 105 - g - 110 - 162*d**2 + 45*d**3.
-3*(d - 3)**4
Let l = -11 - -15. Determine z so that 2*z - l - 2*z**2 - z**3 + 6*z**2 - z**3 = 0.
-1, 1, 2
Let s(q) = -q**5 + q**4 + q**3 - q**2 - q - 1. Let x(h) = -18*h**5 + 6*h**4 + 12*h**3 - 6*h**2 - 9*h - 15. Let l(w) = 15*s(w) - x(w). Factor l(c).
3*c*(c - 1)*(c + 1)**2*(c + 2)
Suppose -4 = 4*w + 4*k, 6 - 39 = -2*w + 5*k. Let c(f) be the second derivative of 0*f**2 + 2*f + 1/18*f**w + 0 + 1/9*f**3. Determine s, given that c(s) = 0.
-1, 0
Let o be ((-3)/(-4) + -1)*(-36)/225. Let p(r) be the second derivative of 2*r + 1/75*r**6 + o*r**5 + 0 + 0*r**4 - 1/5*r**2 - 2/15*r**3. Factor p(v).
2*(v - 1)*(v + 1)**3/5
Suppose -a = 3*a. What is f in a*f**5 + 77*f**2 + 69*f**4 - 18*f**5 - 49*f**3 - 55*f**3 + 4 - 28*f = 0?
1/2, 2/3, 1
Let s(m) = m**3 + 5*m**2 - m - 2. Let o be s(-5). Factor -a + 1/3 + a**o - 1/3*a**2.
(a - 1)*(a + 1)*(3*a - 1)/3
Factor 52/7*i**2 + 6/7*i**3 - 16/7 + 30/7*i.
2*(i + 1)*(i + 8)*(3*i - 1)/7
Let f(n) = 1. Let i(g) = g - 2. Let d(x) = 3*f(x) + i(x). Suppose k = -1 - 0. Let y(b) = b**2 - 1. Let z(r) = k*d(r) - y(r). Find p, given that z(p) = 0.
-1, 0
Suppose 4/3*t**5 - t + 11/6*t**2 + 1/6 - 1/3*t**3 - 2*t**4 = 0. Calculate t.
-1, 1/2, 1
Let s(t) = t**3 + 7*t**2 - 9*t - 6. Let k be s(-8). Suppose -l = -0*l - k. Factor -2/7*b**l - 2/7 + 4/7*b.
-2*(b - 1)**2/7
Let l(r) be the first derivative of -r**3/12 + r**2/2 - 3*r/4 + 12. Let l(z) = 0. What is z?
1, 3
Let c = 74 + -110. Let h be c/27*3/(-7). Determine p so that -h + 6/7*p**2 - 10/7*p = 0.
-1/3, 2
Factor -88/13*y**2 - 16/13*y - 140/13*y**3 + 0 - 50/13*y**4.
-2*y*(y + 2)*(5*y + 2)**2/13
Let i be 8/25*(-4 + (-91)/(-14)). Factor i + 6/5*g + 2/5*g**2.
2*(g + 1)*(g + 2)/5
Let h(b) = -7*b**2 - 2*b - 1. Suppose 5*i + 0 = -5. Let z(s) = 6 - 4 - 3. Let g(w) = i*z(w) + h(w). Factor g(l).
-l*(7*l + 2)
Let a be (5/(-10))/(2/24). Let l(x) = -6*x**2 - 4*x - 5. Let k(v) = -5*v**2 - 3*v - 4. Let p(t) = a*l(t) + 7*k(t). Let p(h) = 0. Calculate h.
-2, -1
Suppose 5*q + 3*s + 20 = q, -2*q + s = 0. Let d be 16/7 + q/1. Factor d*i**3 + 0*i**2 + 0 - 2/7*i.
2*i*(i - 1)*(i + 1)/7
Suppose -4*x - k + 0 = -5, 5*x + 3*k - 8 = 0. Let q = x - -1. Factor -2*f**5 - 2*f**3 + q*f**3 - 2*f**4.
-2*f**4*(f + 1)
Let b = 19 - 19. Let c(q) be the second derivative of b - 1/105*q**6 - 1/70*q**5 + 0*q**4 - 2*q + 0*q**3 + 0*q**2. Factor c(w).
-2*w**3*(w + 1)/7
Let l be 2*(1*(-2 - -1) + 3). Find m, given that 2/7*m + 38/7*m**3 - 30/7*m**2 - 2*m**l + 4/7 = 0.
-2/7, 1
Let h(l) be the first derivative of 3*l**5/5 + 21*l**4/4 + 18*l**3 + 30*l**2 + 24*l - 11. Factor h(g).
3*(g + 1)*(g + 2)**3
Let q(p) be the second derivative of 35/2*p**5 - p + 49/15*p**6 + 8*p**2 + 31*p**4 + 68/3*p**3 + 0. What is j in q(j) = 0?
-2, -1, -2/7
Let k(o) = -o**3 + o. Suppose j + 1 + 5 = 0. Let d(q) = -24*q**3 - 18*q**2 + 8*q + 2. Let y(c) = j*k(c) + d(c). Solve y(w) = 0.
-1, -1/3, 1/3
Let x(s) be the first derivative of s**4/28 + s**3/21 - 2*s**2/7 - 4*s/7 - 6. Find d, given that x(d) = 0.
-2, -1, 2
Let z(t) be the first derivative of t**6/6 - 2*t**5/5 + 2*t**3/3 - t**2/2 - 23. Factor z(w).
w*(w - 1)**3*(w + 1)
Suppose 0 = 5*l + 3*j + 104, 0*l + 3*j = -3*l - 66. Let s = 19 + l. What is h in -1/5*h - 1/5*h**2 + s = 0?
-1, 0
Suppose -3*t = -3*i + 7 + 38, 5*i + t - 105 = 0. Suppose -5*n + i = -n - 4*x, 0 = x + 1. Factor 0 - 4*d + 4 + 22*d + 4*d**2 + n*d**2.
2*(d + 2)*(4*d + 1)
Let l(v) be the second derivative of -1/36*v**4 - 1/18*v**3 + 0 - 3*v + 1/60*v**5 + 1/6*v**2. Find t such that l(t) = 0.
-1, 1
Let x(h) be the third derivative of -h**6/150 + 2*h**4/5 + 32*h**3/15 + 3*h**2 + 16. Find g such that x(g) = 0.
-2, 4
Suppose 3 + 0 = m - 2*z, 0 = m - 4*z - 13. Let k be 9/2 + (-11 - m). Suppose 3/2*o - 1 - k*o**2 = 0. Calculate o.
1, 2
Let g = -4 + 10. Let m(r) = -r**3 - r**2 + 1. Let s(x) = 2*x**3 + 19*x**2 + 28*x + 11. Let w(p) = g*m(p) - 2*s(p). Suppose w(a) = 0. Calculate a.
-2, -2/5
Let w(s) = s**3 + 5*s**2 + s + 6. Let z be w(-5). Let r(q) = -16*q + 2. Let a(h) = -h**2 - h + 1. Let d(n) = z*r(n) - 6*a(n). Factor d(u).
2*(u - 2)*(3*u + 1)
Suppose -20*q**2 - 4*q**5 + 0*q**4 - 64 + 32*q**3 - 64*q - 17*q**2 - 4*q**4 + 69*q**2 = 0. Calculate q.
-2, -1, 2
Let m(w) be the first derivative of -2/5*w - 4 + 3/10*w**2 + 1/3*w**3. Find f such that m(f) = 0.
-1, 2/5
Suppose 0 = -3*u + 3 + 3. Factor 2*m - m**u + 2*m + 3*m**2.
2*m*(m + 2)
Let p(t) = 3*t**2 - 2*t - 5. Let m(h) = -2*h**2 + h + 3. Let u(r) = -5*m(r) - 3*p(r). Factor u(y).
y*(y + 1)
Suppose -1/3*i**2 + i + 0 = 0. Calculate i.
0, 3
Let q(a) be the first derivative of a**9/13608 + a**8/2520 + a**7/1260 + a**6/1620 + a**3/3 - 1. Let r(p) be the third derivative of q(p). Factor r(i).
2*i**2*(i + 1)**3/9
Let f = -15 + 22. Suppose -f = -2*v - 1. Factor 0*n + 2/5*n**2 + 0 + 2/5*n**v.
2*n**2*(n + 1)/5
Suppose l = j - l + 3, -5*j = 4*l - 27. Suppose -4*b - 2 = 3*i - 30, i = -3*b + 16. Determine u, given that u**j + 4*u**b - 14*u**4 - 5*u**3 = 0.
-2/5, 0
Solve 86/21*k - 2/21*k**5 + 22/21 + 76/21*k**3 + 124/21*k**2 + 2/3*k**4 = 0 for k.
-1, 11
Let h(z) be the first derivative of -4 + 0*z + 1/6*z**3 + 1/12*z**2 + 1/8*z**4 + 1/30*z**5. Factor h(u).
u*(u + 1)**3/6
Let l(v) be the second derivative of -v**4/18 - v**3/3 + v - 2. Factor l(c).
-2*c*(c + 3)/3
Let q(u) = -11*u**2 - 53*u - 41. Let g(s) = -17*s**2 - 79*s - 61. Let h(a) = -5*g(a) + 7*q(a). Solve h(l) = 0.
-3/2
Let n(f) be the third derivative of 0*f**3 - 1/30*f**6 + 1/105*f**7 + 1/30*f**5 + 0*f + 0*f**4 - 6*f**2 + 0. Determine k so that n(k) = 0.
0, 1
Let b(u) be the third derivative of -u**6/40 + u**5/10 - 7*u**2. Find j such that b(j) = 0.
0, 2
Let q(u) be the second derivative of u**5/120 - u**4/36 - u**3/36 + u**2/6 + 10*u. Factor q(l).
(l - 2)*(l - 1)*(l + 1)/6
Suppose 5*a = -10, 0*q = 5*q - 3*a - 16. Let d = 7/17 + 98/51. Solve -d*k**q + 16/3*k - 4/3 = 0.
2/7, 2
Factor 0 + 0*g**3 + 2/7*g**4 - 1/7*g - 2/7*g**2 + 1/7*g**5.
g*(g - 1)*(g + 1)**3/7
Let a be (2/(-1))/(-4)*(-20)/(-30). Suppose 1/3*l**2 + a + 2/3*l = 0. Calculate l.
-1
Suppose -p = -2*v, -3*v - 2*v + 10 = 0. Factor 4/7*w**p + 0*w + 2/7*w**5 + 0*w**2 + 0 + 2/7*w**3.
2*w**3*(w + 1)**2/7
Let p be 27/15 + (-3)/(-15). Factor 6*j - 6*j**3 - 4*j**p - 6*j.
-2*j**2*(3*j + 2)
Let k be (-31)/(-5) + (-4)/(-5). Let a(i) = i**2 + 5. Let t be a(0). Find d such that k*d + t*d + 5 + 9*d**2 - 3 + 1 = 0.
-1, -1/3
Suppose -3/2 + 3*d**2 - 21/4*d = 0. Calculate d.
-1/4, 2
Factor -2/3*f - 2/3*f**2 + 4/3.
-2*(f - 1)*(f + 2)/3
Let a(y) = -32*y**3 + 12*y**2 + 52*y - 2. Let r = -13 - -10. Let j(l) = 11*l**3 - 4*l**2 - 17*l + 1. Let n(v) = r*a(v) - 10*j(v). Find d such that n(d) = 0.
-1, 2/7, 1
Let h(n) be the second derivative of n**7/14 - 3*n**6/10 + 3*n**5/10 + 13*n. Factor h(l).
3*l**3*(l - 2)*(l - 1)
Let o(d) = d**3 + 13*d**2 + 13*d + 15. Let u be o(-12). Suppose 0*s = -u*s. Determine y, given that 3*y**3 + s*y**5 - 2*y**5 + y**3 - 2*y**3 = 0.
-1, 0, 1
Let q =