))/(20/56). Factor 24/5*a**3 - 3/5*a**4 - q + 96/5*a - 72/5*a**2.
-3*(a - 2)**4/5
Let s(z) = -z**3 + 2*z**2 + 3*z - 3. Let o be s(2). Solve 4*u**2 - 3*u**o - 2*u + 3*u**3 - 2*u**3 = 0.
0, 1
Let v(k) be the second derivative of 2*k - 1/48*k**4 + 0 + 1/4*k**2 - 1/24*k**3. Factor v(g).
-(g - 1)*(g + 2)/4
Let z(c) be the first derivative of -c**4 + 1 - 13/10*c**2 - 2/5*c - 28/15*c**3. Factor z(l).
-(2*l + 1)**2*(5*l + 2)/5
Let k(i) be the third derivative of -i**6/90 + i**5/10 - i**4/3 + i**3/3 + 7*i**2. Let c(q) be the first derivative of k(q). Factor c(f).
-4*(f - 2)*(f - 1)
Let r(x) be the third derivative of -2/3*x**3 + 0*x + 0 - 1/6*x**4 - 5*x**2 - 1/60*x**5. Factor r(j).
-(j + 2)**2
Let j be (-1 - (-2)/4)*-4. Let t = 0 + j. Factor -32/5*a + 10*a**3 - 8/5 - 2*a**t.
2*(a - 1)*(5*a + 2)**2/5
Factor 52*d**3 + 2*d**2 - 30*d - 40*d**3 + 9 - 29*d**2.
3*(d - 3)*(d + 1)*(4*d - 1)
Let t(j) = -4 - 13*j**2 + 1 + j - 2*j. Let p(i) = 38*i**2 + 4*i + 8. Let c(h) = -3*p(h) - 8*t(h). Factor c(l).
-2*l*(5*l + 2)
Suppose -8*u + 19 - 19 = 0. Determine g so that -12/7*g**3 + 40/7*g**2 - 18/7*g**4 - 16/7*g + u = 0.
-2, 0, 2/3
Let t(b) be the second derivative of 9/20*b**5 + 2*b + 1/14*b**7 + 0 + 3/10*b**6 + 0*b**3 + 1/4*b**4 + 0*b**2. Let t(n) = 0. Calculate n.
-1, 0
Let j(v) = -v - 2. Let w be j(-6). Determine u, given that 22*u**4 - 8*u + u**3 + u**3 + 2*u**5 + 4*u**5 - 6*u**w - 16*u**2 = 0.
-2, -1, -2/3, 0, 1
Find t such that 1/4*t - 1/2*t**3 + 0*t**2 + 0 + 1/4*t**5 + 0*t**4 = 0.
-1, 0, 1
Factor -4/7 - 2/7*b + 2/7*b**2.
2*(b - 2)*(b + 1)/7
Factor 3*x**3 - 6*x**2 + 101*x - 12*x**3 - 101*x - 3*x**4.
-3*x**2*(x + 1)*(x + 2)
Let r(p) be the first derivative of p**5/240 - p**4/48 + p**3/24 - p**2 + 2. Let x(s) be the second derivative of r(s). Let x(q) = 0. Calculate q.
1
Let s(o) = 2*o**3 - 29*o**2 + 29*o**2 + 4*o - 3. Let r(v) = -v**3 - 3*v + 2. Let d(a) = 3*r(a) + 2*s(a). Factor d(b).
b*(b - 1)*(b + 1)
Suppose 0 = -n - 3. Let z be 6/(-9) + (-14)/n. Determine r so that -1/2 - 5/2*r - 5*r**2 - 1/2*r**5 - 5/2*r**z - 5*r**3 = 0.
-1
Let n(d) be the second derivative of -d**4/4 + d**3/2 + 18*d**2 + d + 3. Let n(r) = 0. What is r?
-3, 4
Let p be (9/35)/(30/50). Let 9/7*g**3 + 0*g + 6/7*g**2 + 0 + p*g**4 = 0. What is g?
-2, -1, 0
Let p(f) be the third derivative of 0*f + 0 - 1/1260*f**7 - 1/360*f**6 + 0*f**5 - 2*f**2 + 1/36*f**3 + 1/72*f**4. What is v in p(v) = 0?
-1, 1
Let f(b) be the first derivative of -b**4/48 + b**3/24 + b**2/4 - b - 4. Let t(i) be the first derivative of f(i). Determine u, given that t(u) = 0.
-1, 2
Suppose -4*c = m - 3, c - 8 - 1 = -3*m. Let l be 3 + 16/(-4) + m. What is y in 4/3*y**3 + 2/3 - 4/3*y**l - 2/3*y - 2/3*y**5 + 2/3*y**4 = 0?
-1, 1
Let v(k) = -k**2 - 65*k + 575. Let g(w) = -2*w**2 - 64*w + 574. Let h(t) = 3*g(t) - 4*v(t). Factor h(o).
-2*(o - 17)**2
Let u(n) be the third derivative of -1/20*n**4 + 1/840*n**8 - 1/175*n**7 + 0*n + 2*n**2 + 1/15*n**3 + 0 + 1/150*n**6 + 1/75*n**5. Solve u(g) = 0 for g.
-1, 1
Let p be (9/(-6))/(2/84). Let h be (-8)/(-126) + (-14)/p. Factor h*a**3 - 2/7*a**2 + 0 + 2/7*a**4 - 2/7*a.
2*a*(a - 1)*(a + 1)**2/7
Suppose -3*i = 2*i. Let p(h) be the second derivative of 1/10*h**5 + 0*h**3 + i + 1/6*h**4 + 2*h + 0*h**2. Suppose p(r) = 0. What is r?
-1, 0
Let g(l) be the third derivative of l**8/672 - l**7/140 + l**6/240 + l**5/40 - l**4/24 + 5*l**2. What is h in g(h) = 0?
-1, 0, 1, 2
Let l(n) be the first derivative of -3*n**4/16 + n**3/2 + 3*n**2/8 - 3*n/2 + 8. Find q, given that l(q) = 0.
-1, 1, 2
Let w(q) be the first derivative of q**4 + 4*q**3/3 - 2*q**2 - 4*q - 8. Determine s so that w(s) = 0.
-1, 1
Let g be 10/15*(-9)/(-2). Solve -2*b + 2 + 73*b**g - 72*b**3 - b = 0.
-2, 1
Let a = -2 - -5. Suppose 5*y + a*x - x - 18 = 0, 0 = 2*y - 3*x - 11. What is j in 3*j**2 - 13*j**2 + y - 2*j**3 + 6*j + 6*j**4 + 4*j - 8*j = 0?
-1, -2/3, 1
Suppose -3*l = -8*l + 2*c - 58, -4*l + 3*c - 45 = 0. Let w = l + 14. Solve 2/5*z**w + 4/5 + 6/5*z = 0.
-2, -1
Factor -2/11*r**3 - 16/11*r + 10/11*r**2 + 8/11.
-2*(r - 2)**2*(r - 1)/11
Let n(w) be the second derivative of w**3/3 + 2*w. Let j be n(1). What is u in -2 + u - u**j + 2*u + 0 = 0?
1, 2
Let y(d) be the third derivative of -d**8/20160 + d**6/2160 - d**4/24 - 2*d**2. Let u(o) be the second derivative of y(o). Find i, given that u(i) = 0.
-1, 0, 1
Suppose 0 = 2*x - 8 + 2. Factor -21*k**4 - x*k**2 + k + 18*k**4 - 6*k**3 - k.
-3*k**2*(k + 1)**2
Let h(o) be the third derivative of o**6/60 + 8*o**5/45 + 13*o**4/27 + 16*o**3/27 + 13*o**2. Determine u so that h(u) = 0.
-4, -2/3
Let m(s) be the second derivative of 2/5*s**5 + 0 - 3*s - 2/3*s**3 + 0*s**2 - 7/6*s**4. Solve m(w) = 0.
-1/4, 0, 2
Let z(m) be the first derivative of -2/27*m**3 + 2/9*m + 1/18*m**4 - 1/9*m**2 + 1. Determine t so that z(t) = 0.
-1, 1
Solve 12/7*u - 4/7*u**5 - 12/7*u**4 + 8/7*u**2 - 8/7*u**3 + 4/7 = 0.
-1, 1
Factor -1/2*s**3 - 1/3 + 1/6*s + 2/3*s**2.
-(s - 1)**2*(3*s + 2)/6
Let s(g) = -g**2 + g + 1. Let f(q) = -4*q**3 + 16*q**2 - 20*q - 20. Let u(z) = f(z) + 20*s(z). Factor u(t).
-4*t**2*(t + 1)
Let g be ((-1)/8)/(1*(-6)/8). Let x(k) be the second derivative of g*k**4 + 3*k + k**2 + 0 - 2/3*k**3. Find h such that x(h) = 0.
1
Let y(d) = d**5 - 3*d**4 - 9*d**3 - 11*d**2 - 4*d - 2. Let s(i) = -i**4 - 1. Let t(o) = -6*s(o) + 3*y(o). Factor t(z).
3*z*(z - 4)*(z + 1)**3
Let n(j) = 3*j**2 - 2*j - 2. Let y(d) = 3*d - 3. Let z be y(2). Let a(s) = -4*s**2 + 3*s + 3. Let t(v) = z*n(v) + 2*a(v). Factor t(l).
l**2
Let i(t) be the first derivative of -3 - 116*t**3 - 127/2*t**4 - 56/5*t**5 - 68*t**2 - 16*t. Let i(j) = 0. Calculate j.
-2, -2/7, -1/4
Let m(p) be the third derivative of -1/25*p**5 + 0*p**3 + p**2 + 0*p + 1/10*p**4 + 0 + 1/200*p**6. Find g, given that m(g) = 0.
0, 2
Suppose q = -0*q + 6. Let m be (-2 - -1)*0/q. Determine s so that -s**2 - 9/2*s**3 + 0 - 7/2*s**4 + m*s = 0.
-1, -2/7, 0
Let m = 13 + -10. Find v such that -2*v - 3*v - 8*v**2 - m*v - 2 = 0.
-1/2
Let t(a) be the second derivative of a**6/5 + 9*a**5/20 - a**4/4 - 3*a**3/2 - 3*a**2/2 - 5*a. Factor t(n).
3*(n - 1)*(n + 1)**2*(2*n + 1)
Suppose -4*n = n - 10. Factor c + 2*c**2 + 0*c**n + c**2 + 2*c.
3*c*(c + 1)
Let s(a) be the first derivative of -8/3*a**3 - a**2 + 3/2*a**4 + 4*a - 4. Let s(x) = 0. Calculate x.
-2/3, 1
Suppose 8*n = -4*n. Let g(o) be the third derivative of n*o + 3/110*o**5 - 7/660*o**6 - 4/33*o**3 - 3*o**2 + 1/11*o**4 + 0. Let g(t) = 0. Calculate t.
-1, 2/7, 2
Let g = -2 - -6. Let x(y) be the second derivative of 2*y + 0 - 3/100*y**5 + 0*y**2 + 2/105*y**7 - 1/30*y**3 + 1/30*y**6 - 1/12*y**g. Solve x(p) = 0.
-1, -1/4, 0, 1
Let b(y) = -y**2 + 2*y + 8. Let p be b(4). Suppose -d + 13 = 2*d - s, 2*d = 2*s + 14. Suppose 0 + 4/3*i**2 + 2/3*i**d + p*i = 0. What is i?
-2, 0
Let r be 2/4 - 21/(-14). Suppose 0 + 1/3*w**r + 1/3*w = 0. What is w?
-1, 0
Determine j so that 4*j**4 + j**5 + 16*j - 31*j**2 + 24*j**3 - 12*j**4 - j**2 = 0.
0, 2
Let k = -5 - -8. Let n be (1 + k/(-12))/3. Determine t so that 1/4*t + n*t**5 + 0 + 0*t**2 + 0*t**4 - 1/2*t**3 = 0.
-1, 0, 1
Let c(d) be the first derivative of d**6/6 - d**5/5 - d**4/2 + 2*d**3/3 + d**2/2 - d + 1. Factor c(f).
(f - 1)**3*(f + 1)**2
Let d(v) be the third derivative of v**6/60 - v**5/15 + v**4/12 - v**2. What is t in d(t) = 0?
0, 1
Suppose -9*d + 24 = -3*d. Suppose 2*j + 3*j + l - 22 = 0, -d*l + 24 = 4*j. Find o such that 0 - 4/5*o**2 - 2/5*o + 14/5*o**3 - 8/5*o**j = 0.
-1/4, 0, 1
Let z(m) = -2*m**3 - 30*m**2 - 66*m - 48. Let s(r) = 3*r**3 + 61*r**2 + 133*r + 96. Let l(g) = -2*s(g) - 5*z(g). Factor l(k).
4*(k + 2)**2*(k + 3)
Let b be 1 - -2 - (-2 - -10). Let d = 7 + b. Factor 5*h**3 + 3*h - 17*h**3 - 9*h**d - 2*h - 3*h - 5*h**4.
-h*(h + 1)**2*(5*h + 2)
Let u(d) = -1. Let r(w) = 2*w**2 - 10*w + 3. Let h(j) = -2*r(j) + 18*u(j). Find y, given that h(y) = 0.
2, 3
Let x(t) be the second derivative of 4*t**2 - 2*t - 2/3*t**3 + 0 + 1/5*t**5 - 2/3*t**4. Let x(h) = 0. What is h?
-1, 1, 2
Suppose -2*b + 8 = -0*b. Suppose -2*i + b + 2 = 0. Factor g**4 + 5/2*g**i + 1/2*g + 2*g**2 + 0.
g*(g + 1)**2*(2*g + 1)/2
Let y(p) = 30*p**3 + 120*p**2 + 150*p + 39. Let k(b) = 3*b**3 + 12*b**2 + 15*b + 4. Suppose -h + 0*h = -21. Let q(l) = h*k(l) - 2*y(l). Solve q(r) = 0 for r.
-2, -1
Let w(d) be the second derivative of -d**7/