+ 2)/5
Let i(o) be the second derivative of 9*o**4/10 - 4*o**3/5 + 4*o**2/15 + 5*o. Factor i(w).
2*(9*w - 2)**2/15
Let a(x) = 5*x**3 - 43*x**2 + 191*x - 145. Let u(d) = 16*d**3 - 128*d**2 + 574*d - 434. Let p(h) = -7*a(h) + 2*u(h). Factor p(o).
-3*(o - 7)**2*(o - 1)
Let p(q) be the third derivative of -q**6/480 - q**5/60 - 5*q**4/96 - q**3/12 + 37*q**2. What is s in p(s) = 0?
-2, -1
Let s(f) = f**3 - f**2 + 3. Let c be ((-8)/6)/(2/(-3)). Let v(x) = x**3 + 2. Let y(p) = c*s(p) - 3*v(p). Suppose y(m) = 0. Calculate m.
-2, 0
Let q(f) = -2*f - 3. Let c = 11 + -15. Let l be q(c). What is i in 0*i - 2/5*i**2 + 0 + 2/5*i**4 - 2/5*i**l + 2/5*i**3 = 0?
-1, 0, 1
Let v(z) be the second derivative of z**5/150 - z**3/15 + z**2/2 + 3*z. Let i(f) be the first derivative of v(f). Determine k so that i(k) = 0.
-1, 1
Suppose -18 = -k - k. Let y = 3 + 1. Let b(i) = -5*i**2 + 2*i - 1. Let s(m) = 11*m**2 - 4*m + 2. Let o(x) = k*b(x) + y*s(x). Factor o(h).
-(h - 1)**2
Let h(n) be the first derivative of -n**6/16 + 9*n**5/20 - 39*n**4/32 + 3*n**3/2 - 3*n**2/4 + 15. Solve h(p) = 0 for p.
0, 1, 2
Let q(y) = 4*y**3 + 4*y**2. Let v(w) = 4*w**3 + 4*w**2. Suppose 0*k = s + 3*k - 10, 4*k = -s + 14. Let p(b) = s*q(b) + 3*v(b). Determine r, given that p(r) = 0.
-1, 0
Let b(x) = 0*x**3 - x + 0*x - 3 - x**2 - 4*x**3. Suppose -6*w = -7*w - 7. Let p(y) = -9*y**3 - 3*y**2 - 2*y - 7. Let u(h) = w*b(h) + 3*p(h). Factor u(s).
s*(s - 1)**2
Factor 4*k - 3*k - 1 + k**2 - k.
(k - 1)*(k + 1)
Let o(v) = 8*v + 163. Let p be o(-20). Determine s, given that 10/13*s**2 - 2/13*s - 4/13*s**5 + 14/13*s**4 - 18/13*s**p + 0 = 0.
0, 1/2, 1
Let k(a) be the second derivative of 1/16*a**4 + 0 + 0*a**3 + 3*a + 0*a**2 - 3/80*a**5. Find v such that k(v) = 0.
0, 1
Let g = 45 - 177/4. Let i be (3 - 9/8)*8/20. Suppose -i*j**2 + 1/4*j + 0 - 1/4*j**4 + g*j**3 = 0. What is j?
0, 1
Let n = -663 - -668. Factor 0 + 1/5*s**2 - 1/5*s**3 + 0*s - 1/5*s**4 + 1/5*s**n.
s**2*(s - 1)**2*(s + 1)/5
Let m be ((-14)/2 - -3)/(-2). Let f(c) be the third derivative of -1/48*c**4 - 1/420*c**7 + 0*c**3 - 1/40*c**5 + 0*c + 0 - 3*c**m - 1/80*c**6. Factor f(v).
-v*(v + 1)**3/2
Suppose -5*v = -5 - 5. Suppose v*t + a + 6 = -3*a, 6 = -t - 3*a. Find r such that -1/2*r**t + 2*r**2 - 2*r + 0 = 0.
0, 2
Let m(l) be the third derivative of -l**8/1680 + l**7/175 - 13*l**6/600 + l**5/25 - l**4/30 - 20*l**2. Factor m(j).
-j*(j - 2)**2*(j - 1)**2/5
Let r(t) = 225*t**3 + 615*t**2 + 435*t + 125. Let k(l) = -32*l**3 - 88*l**2 - 62*l - 18. Let b(o) = -20*k(o) - 3*r(o). Let b(i) = 0. What is i?
-1, -3/7
Let c be (-8)/(-5) + 2/5. Let s = -4 + 8. Solve 2 - 9*k**3 + 7*k**4 - s - 5*k**c + 9*k + 0*k = 0 for k.
-1, 2/7, 1
Let w(p) be the third derivative of -p**8/1512 - 2*p**7/945 + p**6/540 + p**5/135 + 26*p**2. Let w(i) = 0. Calculate i.
-2, -1, 0, 1
Let o be -2 - -3 - (-10)/(-15). Determine z so that 0 + o*z**2 - 1/3*z**4 - 1/3*z**3 + 1/3*z = 0.
-1, 0, 1
Let j(o) be the first derivative of o**6/8 - 3*o**5/20 + 12. Determine y, given that j(y) = 0.
0, 1
Suppose 2*q = -5*b - 3*q + 10, -q = 0. Let w(i) be the first derivative of 2/7*i + 2 + 2/7*i**3 + 1/14*i**4 + 3/7*i**b. Factor w(d).
2*(d + 1)**3/7
Let y(x) be the first derivative of x**8/56 + x**7/21 - x**6/36 - x**5/6 + 4*x**3/9 - 5*x**2/2 + 5. Let w(h) be the second derivative of y(h). Factor w(b).
2*(b + 1)**3*(3*b - 2)**2/3
Let n(r) = -42*r**5 + 61*r**4 - 21*r**3 - 8*r**2 + 5. Let f(d) = -20*d**5 + 30*d**4 - 10*d**3 - 4*d**2 + 2. Let z(c) = 5*f(c) - 2*n(c). Let z(g) = 0. What is g?
-1/4, 0, 1
Let y(d) = 2 + 1 - 4*d**2 + 0 - 4*d + 6*d**2. Let n be y(2). Determine x so that 4*x - 4*x**3 - n*x - 2*x**2 - x - 2*x**4 = 0.
-1, 0
Find z such that -1/2*z + 17/4*z**5 - 19/4*z**4 + 0 - 15/4*z**3 + 19/4*z**2 = 0.
-1, 0, 2/17, 1
Factor 17*n**2 - 4*n**2 + 3*n**3 - 2*n**2 - 8*n**2 - 6*n**4.
-3*n**2*(n - 1)*(2*n + 1)
Suppose -13*s + 8*s = -5. Let z(a) be the first derivative of -1/3*a**6 + 2/3*a**3 + 0*a + 1/2*a**4 - 2/5*a**5 - s + 0*a**2. Factor z(t).
-2*t**2*(t - 1)*(t + 1)**2
Let x(u) be the third derivative of -7*u**8/12 + 4*u**7/3 + 101*u**6/30 - 62*u**5/15 - 26*u**4/3 - 16*u**3/3 - 6*u**2. Suppose x(l) = 0. What is l?
-1, -2/7, 1, 2
Let g(n) be the first derivative of 1/6*n**3 + 3 + 0*n - 1/2*n**2. Suppose g(i) = 0. Calculate i.
0, 2
Suppose q - x + 1 = 0, -30*q + 31*q - 2*x = -4. Solve -1/3*m + 1/3*m**3 - 1/3 + 1/3*m**q = 0 for m.
-1, 1
Let m = 7 + -7. Let c be (3 + m)/((-3)/(-4)). Find t, given that 3*t**5 + c*t**3 - t**5 - 4*t**4 - t**5 = 0.
0, 2
Let o(d) be the first derivative of d**3/5 - 9*d**2/10 - 7. Determine n, given that o(n) = 0.
0, 3
Let g(l) be the second derivative of l**5/40 - l**4/24 - 26*l. Factor g(i).
i**2*(i - 1)/2
Factor -3/2*q + 3/4*q**2 - 9/4.
3*(q - 3)*(q + 1)/4
Let f(z) = z**3 + z. Suppose 0*p - 5*p - 2*y = -14, 5*y = -p + 12. Let g(v) = 18*v**3 + 9*v**2 + 13*v. Let c(h) = p*g(h) - 22*f(h). Factor c(a).
2*a*(a + 1)*(7*a + 2)
Let o = 4 - 0. Suppose -5*h - 55 = -5*q, -4*q + 2*h + 68 = o*h. Factor -3 + 3 - q*t**2 - 3*t**3 - 9*t**3 - 3*t.
-3*t*(t + 1)*(4*t + 1)
Let c be 5*(0 - 2/(-5)). Determine u, given that 2*u - u**3 - u**c + 3*u**3 - 3*u**2 = 0.
0, 1
Factor 72/7*p + 2*p**3 + 16/7 + 60/7*p**2.
2*(p + 2)**2*(7*p + 2)/7
Suppose 2*s + 3*o = 6*s - 21, -5*s = o - 12. Suppose s*y = 3*f - 2*f + 3, -4*y + 11 = f. Let 8/5*x**3 + 6/5*x**y - 2/5*x + 0 = 0. What is x?
-1, 0, 1/4
Let l = 7/650 - -184/325. Let p = l + -1/13. Factor p - 5*g**3 + 5/2*g**4 - 1/2*g**5 - 5/2*g + 5*g**2.
-(g - 1)**5/2
Let p be ((-16)/(-20))/((-4)/(-10)). Factor 2*i**3 + 5*i**2 + 0*i**3 + 4*i + i**p.
2*i*(i + 1)*(i + 2)
Factor 2*c**4 + 0*c**2 - 4*c**2 - 5*c**3 + 3*c**3.
2*c**2*(c - 2)*(c + 1)
Let k(x) be the second derivative of -2*x**7/105 + x**6/30 + x**5/15 - x**4/6 + 4*x**2 - 3*x. Let g(n) be the first derivative of k(n). Solve g(w) = 0 for w.
-1, 0, 1
Let y(u) be the third derivative of u**5/300 + u**4/60 - u**3/10 + 2*u**2. Find m such that y(m) = 0.
-3, 1
Find r such that 17*r**4 + 33*r**3 + 0*r**4 - 38*r**4 - 114*r**2 - 144*r**3 - 24*r = 0.
-4, -1, -2/7, 0
Let g(k) be the first derivative of 0*k + 0*k**2 - 6 - 2/33*k**3. Factor g(h).
-2*h**2/11
Let c(x) be the first derivative of -2*x + 0*x**2 + 0*x**3 - 1 - 1/6*x**4. Let r(a) be the first derivative of c(a). Let r(p) = 0. What is p?
0
Let y(f) be the second derivative of 1/2*f**3 + 1/540*f**6 - 1/180*f**5 - 1/18*f**4 + 3*f + 0*f**2 + 0. Let w(d) be the second derivative of y(d). Factor w(x).
2*(x - 2)*(x + 1)/3
Let h(g) be the first derivative of 0*g + 1/8*g**4 - 1/3*g**3 + 0*g**2 - 1. Suppose h(v) = 0. What is v?
0, 2
Let v(o) be the first derivative of -2*o + 7/3*o**3 - 5/2*o**2 - 4. Find f such that v(f) = 0.
-2/7, 1
Let 3/5*d**3 + 18/5*d**2 + 6/5 - 6/5*d**4 - 21/5*d = 0. What is d?
-2, 1/2, 1
Let k = -414 + 12421/30. Let z(c) be the second derivative of 0 + 0*c**2 - 1/6*c**3 + k*c**6 - 1/12*c**4 + 2*c + 1/20*c**5. Factor z(x).
x*(x - 1)*(x + 1)**2
Let s(d) be the first derivative of d**6/18 - d**5/5 + 4*d**3/9 - 10. Factor s(y).
y**2*(y - 2)**2*(y + 1)/3
Let s(n) be the first derivative of -n**7/63 + n**5/15 - n**3/9 - 3*n - 1. Let m(v) be the first derivative of s(v). Solve m(y) = 0.
-1, 0, 1
Let s(p) = -p**4 - p**3 - p**2 - 1. Let a(b) = -4*b**3 - 2*b**2 + b + 2*b**3 - 1 + 0*b**2. Let t(i) = -a(i) + s(i). Solve t(y) = 0 for y.
-1, 0, 1
Solve -2/3*c**5 - 6*c**4 + 18 + 18*c - 12*c**2 - 52/3*c**3 = 0 for c.
-3, -1, 1
Let s(o) be the first derivative of 10*o**6/3 - 52*o**5/5 + 4*o**4 + 16*o**3/3 - 24. Suppose s(g) = 0. Calculate g.
-2/5, 0, 1, 2
Suppose 0*d - d + 5 = 0. Suppose -d*w - 4*i + 14 = 0, 2*w + 2 = 5*w - 4*i. Suppose 1/4*r**w + 1/4*r**4 + 1/2*r**3 + 0 + 0*r = 0. What is r?
-1, 0
Let p = 3 - -2. Find y such that -3*y + 2*y**2 - p*y**2 + y + y**2 = 0.
-1, 0
Let s = 1/21 - -2/7. Let 0 + s*a**4 + 0*a**3 - a**2 + 2/3*a = 0. What is a?
-2, 0, 1
Let i(x) = 8*x**3 - 17*x**2 - 17*x + 10 - 10. Let d(h) = 2*h**3 - 4*h**2 - 4*h. Let v(o) = 26*d(o) - 6*i(o). Determine a so that v(a) = 0.
-1/2, 0, 1
Let c be 0*(4/8 - 0). Let m(f) be the first derivative of -1/2*f**4 - f**2 + c*f - 4/3*f**3 + 3. Factor m(y).
-2*y*(y + 1)**2
Let r(n) be the third derivative of n**10/75600 - n**9/18900 + n**8/16800 - n**4/6 - 5*n**2. Let q(x) be the second derivative of r(x). Fa