r w(q).
4*(q - 1)*(q + 2)/7
Let b be 20/(-35) + (-46)/(-7). Factor -b*p**2 + 4*p**2 - 12 - 24*p - 7*p**2.
-3*(p + 2)*(3*p + 2)
Solve -1/4*l**2 + 0*l + 1/4 = 0 for l.
-1, 1
Let k(g) = g**2 + 13*g + 22. Let f be k(-11). Let p(b) be the first derivative of 1/3*b**3 - 2 + 0*b**2 + f*b. Suppose p(m) = 0. What is m?
0
Let a = 10 - -2. Let m = a + -7. Factor -5*o**5 + 2*o**4 + o**3 + o**5 + 5*o**m.
o**3*(o + 1)**2
Let x = 20 + -21. Let b be 39/60 + x/4. Factor 0 - b*z**2 - 4/5*z.
-2*z*(z + 2)/5
Let h(i) be the second derivative of -i**4/18 - 2*i**3/9 - i**2/3 + 6*i. Factor h(o).
-2*(o + 1)**2/3
Let o = -973 + 2891/3. Let v = o - -115/12. Determine f, given that 1/4 + v*f**3 + 3/4*f + 3/4*f**2 = 0.
-1
Let d(t) be the first derivative of 2/9*t**3 + 0*t - 2 - 1/3*t**2 + 2*t**4. Let d(c) = 0. What is c?
-1/3, 0, 1/4
Let c be 4 + -1 - ((-153)/21)/(-3). Suppose c*n + 0 + 6/7*n**4 - 2/7*n**3 - 2/7*n**5 - 6/7*n**2 = 0. What is n?
-1, 0, 1, 2
Let x = -3/22 + 71/198. Factor x*l**2 + 2 - 4/3*l.
2*(l - 3)**2/9
Let b be (-24)/(-10)*(-10)/(-4). Find u, given that -4*u - 3*u**3 + 6*u - 3*u**5 - b*u**4 - 2*u = 0.
-1, 0
What is r in 6*r**2 - 4 - 4*r**4 - 2*r + 2*r**2 + 4*r**3 + 0*r**4 - 2*r**5 = 0?
-2, -1, 1
Let m = -75/2 + 38. Determine i so that -m - 9/4*i**2 - 1/4*i**4 - 7/4*i - 5/4*i**3 = 0.
-2, -1
Let t = -1339/22 - -15/11. Let u = 599/10 + t. Suppose -u + 2/5*q**2 + 0*q = 0. Calculate q.
-1, 1
Let z = -52 + 83. Let c = z + -26. Find b, given that -7/3*b**4 + b**2 - 2/3*b + b**3 + b**c + 0 = 0.
-2/3, 0, 1
Let q(k) be the second derivative of k**4/3 + 28*k**3/3 + 98*k**2 - 13*k. Factor q(g).
4*(g + 7)**2
Let k(p) be the second derivative of -p**4/54 + 10*p**3/27 - 5*p. Factor k(s).
-2*s*(s - 10)/9
Let a(h) be the second derivative of 0*h**2 - 1/3*h**3 + 1/6*h**4 + 0 - 5*h. Suppose a(u) = 0. Calculate u.
0, 1
Suppose 83*j = 78*j + 20. Let v(q) be the third derivative of 0*q + 1/80*q**5 - 3/16*q**j + 9/8*q**3 - 4*q**2 + 0. Determine b, given that v(b) = 0.
3
Let g(z) be the third derivative of z**5/30 - 5*z**2. Suppose g(f) = 0. What is f?
0
Let h(k) = -k + 1. Let y be h(5). Let c(o) = -o**3 + o - 1. Let i(d) = d**4 + 5*d**3 - 4*d + 4. Let l(m) = y*c(m) - i(m). Factor l(j).
-j**3*(j + 1)
Suppose v = -5*f + 18, 5*v = -2*f + 7 + 14. Factor 2/11*r**4 - 16/11*r**f + 0*r + 36/11*r**2 - 54/11.
2*(r - 3)**3*(r + 1)/11
Find y such that 1124*y - 2*y**5 - 1124*y = 0.
0
Let n(m) = -m**3 - m**2 - m. Suppose -4*k = y - 5*y, 2*y + 5 = -3*k. Let h(l) = -9*l**3 + 12*l**2 + 30*l + 6. Let z(i) = y*h(i) - 3*n(i). Factor z(b).
3*(b - 2)*(b + 1)*(4*b + 1)
Let f = 7/94 - -490/47. What is o in 21/2*o**3 - f*o**5 + 0*o + 3*o**2 - 3*o**4 + 0 = 0?
-1, -2/7, 0, 1
Let s = 19 + -19. Let r(n) be the third derivative of 0*n + 0*n**6 + 1/672*n**8 + s*n**3 - 2*n**2 + 0*n**4 + 1/1260*n**7 + 0*n**5 + 0. Factor r(u).
u**4*(3*u + 1)/6
Let t(x) be the first derivative of x**4/22 + 4*x**3/33 - 3*x**2/11 - 21. What is f in t(f) = 0?
-3, 0, 1
Let b be (1*22/(-6))/(-1). Let w = 4 - b. Factor 2/3*o - w*o**3 + 0 - 1/3*o**2.
-o*(o - 1)*(o + 2)/3
Let c(w) be the first derivative of 3*w**4/4 - 10*w**3/3 - 9*w**2/2 + 4*w - 21. Determine v so that c(v) = 0.
-1, 1/3, 4
Suppose 0 = 2*n - 7*n. Let z(r) be the first derivative of 3/10*r**5 + 1/4*r**4 - 2 + 0*r - 1/6*r**3 + n*r**2. Solve z(f) = 0 for f.
-1, 0, 1/3
Let n(w) be the third derivative of -w**6/60 + w**5/30 + w**4/6 - w**2. Suppose n(t) = 0. What is t?
-1, 0, 2
Factor 0 + 18/7*h**2 + 4/7*h + 2*h**3.
2*h*(h + 1)*(7*h + 2)/7
Let c(v) = v - 8. Let b be c(8). Let w(j) be the second derivative of 1/4*j**2 + b - 1/8*j**3 + 3/80*j**5 - 1/24*j**4 + 2*j. What is h in w(h) = 0?
-1, 2/3, 1
Let b be (0 - 0)/((-2 - 0)*1). Determine t so that 3/4*t**4 - 1/2*t**2 + b + 0*t - 1/4*t**3 = 0.
-2/3, 0, 1
Let c(k) = 6 + 4*k**3 - 8*k + 4*k**3 - k**2 - k**2. Let s be -2 + 0/(0 - 1). Let w(q) = -17*q**3 + 3*q**2 + 17*q - 13. Let y(h) = s*w(h) - 5*c(h). Factor y(v).
-2*(v - 1)*(v + 1)*(3*v - 2)
Let r be ((-15)/(-10))/(3/16). Suppose -12 = -5*o + r. Factor -x**3 - x**2 + x - 4*x**4 + 3*x**o + 2*x**4.
x*(x - 1)**2*(x + 1)
Let x = 3/62 + 115/186. Suppose c**5 + 11/3*c**3 + 0 - x*c + 11/3*c**4 + 1/3*c**2 = 0. Calculate c.
-2, -1, 0, 1/3
Factor -3/7*y**5 + 0 - 3*y**2 - 6/7*y - 15/7*y**4 - 27/7*y**3.
-3*y*(y + 1)**3*(y + 2)/7
What is v in -78*v + 93/2*v**2 - 75/2*v**4 + 105*v**3 + 18 = 0?
-1, 2/5, 3
Let q(r) be the first derivative of 2 - 4/5*r**5 + 0*r**2 - 2/3*r**3 + 0*r - 3/2*r**4. Solve q(t) = 0 for t.
-1, -1/2, 0
Let q = 96 + -56. Determine k so that k**2 - 3*k**2 + q*k - 38*k = 0.
0, 1
Let b be 0 + 155/(-35) + (4 - -1). Determine u so that 0*u**3 - b*u**2 + 2/7*u**4 + 2/7 + 0*u = 0.
-1, 1
Factor -2*m**4 + 3*m**3 + 0*m**3 - m**4.
-3*m**3*(m - 1)
Suppose 5*y = n + 6, 3*y + 25 + 11 = 5*n. Let v be (-43)/(-35) + n/(-21). What is t in -v*t**2 + 0 + 2/5*t**3 + 2/5*t = 0?
0, 1
Let s(z) = -z**2 + 3*z + 1. Let t be s(2). Solve d**2 + t*d + 6*d + 9 - 3*d = 0 for d.
-3
Let t(a) be the first derivative of a**3/6 + a**2/4 + 3. Factor t(j).
j*(j + 1)/2
Let q(d) be the third derivative of 0 + 1/660*d**6 + 0*d**3 + 0*d**5 - 1/132*d**4 + 0*d - 4*d**2. Factor q(o).
2*o*(o - 1)*(o + 1)/11
Let q(g) be the first derivative of -6 + 1/4*g**3 + 1/4*g**2 + 0*g + 1/16*g**4. Solve q(w) = 0.
-2, -1, 0
Suppose 4*k - 3*g = -4*g + 22, -2*k + 5*g = -22. What is w in 2*w**2 + k*w + w**2 - w**2 - 4*w = 0?
-1, 0
Suppose o + 4*c - 20 = 0, -4 = -3*c + c. Let q be 4/14 + o/7. Factor 0 - 2*v**3 - 1/3*v - 1/3*v**5 - 4/3*v**q - 4/3*v**4.
-v*(v + 1)**4/3
Let f(l) be the first derivative of 5*l**3/3 + 25*l**2/2 - 30*l + 30. Factor f(a).
5*(a - 1)*(a + 6)
Let j(z) be the second derivative of z**8/840 + z**7/840 - z**6/180 - z**5/120 + z**3/3 - 3*z. Let r(s) be the second derivative of j(s). Solve r(n) = 0 for n.
-1, -1/2, 0, 1
Let x(l) = -4*l**2 + 6*l. Let v(w) = -7*w**2 + 12*w. Let a(j) = 6*v(j) - 11*x(j). Factor a(u).
2*u*(u + 3)
Let x(u) = -17*u**3 - 4*u**2 - 2*u + 2. Let q(p) = p**3 - p**2 + p - 1. Let r = 7 + -8. Let f(c) = r*x(c) - 2*q(c). Find h such that f(h) = 0.
-2/5, 0
Let t(d) be the first derivative of 3 + 0*d**2 + 0*d - 1/27*d**6 + 2/45*d**5 - 2/27*d**3 + 1/18*d**4. Suppose t(x) = 0. What is x?
-1, 0, 1
Let z(m) = -2*m**2 - 4*m. Let p(i) = -9*i + 8*i**2 + 15*i + 6*i + 5*i. Let u(y) = -2*p(y) - 9*z(y). Solve u(h) = 0.
-1, 0
Let s(b) be the third derivative of b**5/100 + b**4/40 - b**3/5 - 8*b**2. Find w, given that s(w) = 0.
-2, 1
Suppose 0 = -2*x - 50 + 58. Let w(t) be the second derivative of 0*t**2 - 1/2*t**7 + 4*t + 27/20*t**5 + 0 + 5/4*t**x - t**3 - 1/2*t**6. Solve w(s) = 0.
-1, 0, 2/7, 1
Let k(g) be the first derivative of 1/18*g**3 - 1/36*g**4 + 1/6*g**2 - 4*g - 1/60*g**5 - 4. Let t(r) be the first derivative of k(r). What is s in t(s) = 0?
-1, 1
Let s(q) be the second derivative of 3*q**5/70 + q**4/42 - q**3/7 - q**2/7 + 7*q. Factor s(l).
2*(l - 1)*(l + 1)*(3*l + 1)/7
Let t(g) be the first derivative of -g**4/4 - g**3/3 + g**2 + 3. Let t(l) = 0. What is l?
-2, 0, 1
Let j be ((-12)/(-15))/((-6)/(-135)). Let h be -4 - (-13)/(39/j). Let -2/5*v**3 + 0*v - 8/5 + 6/5*v**h = 0. Calculate v.
-1, 2
Let i(t) = t**3 - t**2 + t + 9. Let b(l) = -l**3 - l - 10. Let z(m) = 3*b(m) + 4*i(m). What is u in z(u) = 0?
-1, 2, 3
Let x be ((-18)/(-20))/(3/66). Let y = x - 19. Factor 1/5*r + 0 + 0*r**3 - 3/5*r**2 + y*r**4.
r*(r + 1)*(2*r - 1)**2/5
Let n be (2/8)/((-1155)/(-88) - 13). Factor -2/9*y**3 + 0 + 0*y - 2/9*y**4 + 2/9*y**5 + 2/9*y**n.
2*y**2*(y - 1)**2*(y + 1)/9
Let g be (-2)/132*(-2726)/(-2). Let v = 125/6 + g. Factor v*c**3 + 0*c**2 + 4/11 - 6/11*c.
2*(c - 1)**2*(c + 2)/11
Let n be (-147)/98*(-2)/7. Factor n*k**4 - 3/7*k**3 + 6/7 - 9/7*k**2 + 3/7*k.
3*(k - 2)*(k - 1)*(k + 1)**2/7
Let q(p) = 10*p**3 - 40*p**2 + 54*p + 14. Let y(f) = 2*f**3 - 8*f**2 + 11*f + 3. Let d(o) = -3*q(o) + 14*y(o). What is n in d(n) = 0?
0, 2
Let t(s) be the first derivative of -s**3/6 + s**2/2 - s/2 + 14. Determine g, given that t(g) = 0.
1
Let w be (1/2)/((-1)/2). Let z be 5/(-10)*(w + -5). Factor v**3 + v**4 + 2*v**z + 3*v**2 + 5*v - 4*v.
v*(v + 1)**3
Let c = -25 - -39. Suppose -r = -2*j + 4*r + 39, 4*j - 2*r - 54 = 0. Factor -2 - 24*l + l**3 - 3*l**3 - c - j*l**2.
-2*(l + 2)**3
Let b(p) = -23*p**3 + 17*p**2 + 35*p + 5. Let f(i) = 4*i -