12*b**2 - 35*b**2 + z*b + 20*b**2 - 2 = 0.
1
Suppose m = 14 + 3. Suppose -1 + m = 4*x. Suppose x*q**3 - 3*q - 17*q**2 + 2*q**2 - 13*q**3 + 27*q**4 = 0. What is q?
-1/3, 0, 1
Suppose 5*v - 3 - 2 = 0. Factor -6*l**2 + v + 3 + 0 + 2*l**2.
-4*(l - 1)*(l + 1)
What is g in -21/4*g - g**2 + 9/2 = 0?
-6, 3/4
Let b(u) = u**5 - u**4 + 4*u**3 + 6*u**2 - 21*u + 9. Let v(x) = -2*x**5 - 3*x**3 - 4*x**2 + 21*x - 9. Let j(s) = -6*b(s) - 4*v(s). Let j(r) = 0. What is r?
-3, 1
Let i be (3/2)/3*-2 - -4. Factor 32*l - 74*l + 8*l**2 + l**3 - i*l**3 + 34*l.
-2*l*(l - 2)**2
Suppose -26 = 3*v - 95. Suppose -5*c - 8 = -v. Factor -4/3*l**2 - 8/9*l - 2/9 - 8/9*l**c - 2/9*l**4.
-2*(l + 1)**4/9
Let m(d) be the third derivative of d**5/30 - 7*d**4/4 + 38*d**3/3 + 118*d**2. Determine w, given that m(w) = 0.
2, 19
Let i = -1067 - -1067. Factor 2/15*a**2 + i + 2/15*a.
2*a*(a + 1)/15
Let u(y) be the first derivative of -3/2*y**2 + 16/3*y**3 - 15/4*y**4 + 4/5*y**5 + 2 - 2*y. Factor u(i).
(i - 2)*(i - 1)**2*(4*i + 1)
Let w(u) be the third derivative of 2*u**7/147 - 11*u**6/105 - 24*u**5/35 + 176*u**4/21 - 256*u**3/21 + 124*u**2. Solve w(d) = 0 for d.
-4, 2/5, 4
Let z(l) be the first derivative of 0*l**2 + 4/63*l**3 - 2/21*l + 0*l**4 - 2/105*l**5 + 27. Solve z(i) = 0 for i.
-1, 1
Let k(w) = -w**4 + w**2 - 2*w - 1. Let b(p) = -2*p**4 + 43*p**3 + 46*p**2 - 45*p - 45. Let j(r) = -b(r) + k(r). Factor j(l).
(l - 44)*(l - 1)*(l + 1)**2
Let r = -18 + 12. Let m be (r*(-2)/(-4))/(-1). What is o in -o**2 - 2*o + m*o**2 - 4*o**2 + 2*o**4 + 2*o**3 + 0*o**3 = 0?
-1, 0, 1
Let m be (-171)/6*6 + 1. Let w be (1224/m)/(2/(-10)*7). Factor -44/7*i**2 + 16/7 + 64/7*i - w*i**3.
-4*(i - 1)*(i + 2)*(9*i + 2)/7
Let c(u) be the first derivative of 23 + 7/9*u**2 - 20/9*u - 2/27*u**3. Let c(s) = 0. What is s?
2, 5
Let i(m) be the third derivative of -m**6/240 + 2*m**5/15 - 77*m**4/48 + 49*m**3/6 + 123*m**2 - m. Factor i(c).
-(c - 7)**2*(c - 2)/2
Let c(n) be the second derivative of n**7/105 - n**5/30 + 3*n**2/2 + 14*n. Let q(i) be the first derivative of c(i). Find j such that q(j) = 0.
-1, 0, 1
Let l(z) = z**2 - 19*z - 48. Let h be l(22). Let h*n + 7*n - 3*n**2 - 10*n - 12 = 0. Calculate n.
1, 4
Determine g, given that 18 - 87/2*g + 9/4*g**3 + 93/4*g**2 = 0.
-12, 2/3, 1
Suppose 7*v = -3*v - 3*x + 3, 0 = 3*x + 27. Factor -2*g - 12/11*g**2 - 12/11 - 2/11*g**v.
-2*(g + 1)*(g + 2)*(g + 3)/11
Let h(l) = l. Let t(i) = -3 + 9*i + 3*i**2 + 0 + 9*i. Let p(v) = -18*h(v) + t(v). Find w, given that p(w) = 0.
-1, 1
Let i(o) = 15*o**4 + 167*o**3 + 42*o**2 - 44*o. Let p(k) = k**3 - k**2. Let m(h) = 3*i(h) + 6*p(h). Solve m(q) = 0 for q.
-11, -2/3, 0, 2/5
Suppose 5 + 10 = 3*u, 367 = 4*n + 3*u. Suppose 94*z = n*z + 18. Let 2/7*p**4 + 0*p**z + 0 + 0*p - 2/7*p**2 = 0. What is p?
-1, 0, 1
Let n be 0 + 2 - (-2 + 2). What is s in -3 - 4 + 0 - 8 - 18*s - 3*s**n = 0?
-5, -1
Suppose 2 - 15*y + 7 - y**4 + 22*y**4 + 15*y**3 - 27*y**2 - 3 = 0. What is y?
-1, 2/7, 1
Let d(p) = p**3 + 6*p**2 + p - 6. Let x be d(1). Factor 2/5*z**x + 8/5 - 8/5*z.
2*(z - 2)**2/5
Let w(k) = 2*k**3 + 21*k**2 - k - 24. Let r be w(-10). Let n be 70/35 - r/(-5). Factor 24/5*j - 2/5 - n*j**2 + 128/5*j**3.
2*(4*j - 1)**3/5
Let y(m) be the second derivative of m**6/105 + 17*m**5/35 + 32*m**4/21 + m - 67. Factor y(i).
2*i**2*(i + 2)*(i + 32)/7
Suppose 2 = -4*h + b + 14, -3*h - 4*b = -9. Let j(c) be the first derivative of -2*c**2 - 1/3*c**h - 3 - 4*c. Suppose j(d) = 0. What is d?
-2
Suppose 7*n + 3*h - 26 = 0, 9*n - 6*n + h = 10. Factor 3/2*o**3 - 15/2*o + 6*o**n + 0.
3*o*(o - 1)*(o + 5)/2
Let y be 82/10 - 23/115. Let m be 12/16*4 - -1. Solve 98 - m*x**3 - 98 + 12*x - y*x**2 = 0.
-3, 0, 1
Let k(m) be the third derivative of -m**5/150 + 7*m**4/5 - 588*m**3/5 - 69*m**2 + 2. Factor k(d).
-2*(d - 42)**2/5
Let m be (0 - -1) + -8 + 1980/270. Let b(w) be the third derivative of 1/5*w**5 + 0*w + 0 - 9*w**2 + m*w**4 + 1/105*w**7 + 1/3*w**3 + 1/15*w**6. Factor b(g).
2*(g + 1)**4
Factor 3/4*d**2 - 51 + 24*d.
3*(d - 2)*(d + 34)/4
Let n be 4/(-6) + (-321)/(-9). Factor -18*s**3 - 8*s**2 + s**5 + 35*s - n*s - 12*s**4 - 3*s**5.
-2*s**2*(s + 1)**2*(s + 4)
Let u = -49462 - -49464. Factor 0 + 6/5*t + 2/5*t**u.
2*t*(t + 3)/5
Let 4/7*o**2 - 48/7 + 16/7*o = 0. Calculate o.
-6, 2
Factor -2/7*m**3 - 12/7*m**2 - 8/7 - 18/7*m.
-2*(m + 1)**2*(m + 4)/7
Let f(i) be the second derivative of -i**8/30240 - i**7/11340 + 2*i**4/3 - 10*i. Let o(u) be the third derivative of f(u). Find l, given that o(l) = 0.
-1, 0
Let f(u) be the second derivative of 4*u - 108*u**2 - 7/2*u**4 + 0 - 30*u**3 - 3/20*u**5. Factor f(y).
-3*(y + 2)*(y + 6)**2
Let t(y) be the first derivative of -4*y**5/5 + 8*y**4 - 28*y**3 + 44*y**2 - 32*y + 44. Find p such that t(p) = 0.
1, 2, 4
Let k(g) be the third derivative of -g**6/40 - 3*g**5/10 + 15*g**4/8 + 50*g**3 - g**2 + 1. Factor k(h).
-3*(h - 4)*(h + 5)**2
Let f(o) be the first derivative of o**6/120 - o**5/20 + o**4/12 + 20*o + 6. Let z(m) be the first derivative of f(m). Factor z(q).
q**2*(q - 2)**2/4
Let x = 269 + -266. Let o(a) be the second derivative of -2/3*a**x - 2*a + 0 + 1/6*a**4 + a**2. Find z, given that o(z) = 0.
1
Factor -115/4*b - 1/4*b**2 + 0.
-b*(b + 115)/4
Let z(g) be the third derivative of 10*g**2 - 11/42*g**7 - 5/24*g**4 + 0 + 3/8*g**6 + 0*g**3 + 0*g - 1/12*g**5 + 5/84*g**8. Let z(y) = 0. Calculate y.
-1/4, 0, 1
Let m(l) = l + 7. Let r be ((-16)/12)/((-3)/(-9)). Let b be m(r). Solve t**4 + 1 + 2 + 9*t + 3*t**2 - 10*t**b - 7*t**4 + t**3 = 0.
-1, -1/2, 1
Find q such that -338/11*q**3 + 24/11*q - 126/11*q**5 - 56/11*q**2 + 0 + 496/11*q**4 = 0.
-2/7, 0, 2/9, 1, 3
Let v(y) be the third derivative of -y**8/10080 - 7*y**5/60 + 13*y**2. Let x(p) be the third derivative of v(p). Factor x(s).
-2*s**2
Let v(p) be the first derivative of p**5/5 + 15*p**4/4 + 12*p**3 - 2*p**2 - 48*p - 266. Determine o so that v(o) = 0.
-12, -2, 1
Let v(p) be the first derivative of p**3/5 + 3*p**2/5 - 41. Factor v(q).
3*q*(q + 2)/5
Let i(f) be the second derivative of -f**6/60 - f**5/40 + f**4/4 + 4*f - 1. Factor i(s).
-s**2*(s - 2)*(s + 3)/2
Let y(s) be the second derivative of 7/2*s**3 - 5*s + 3/20*s**5 - 9/2*s**2 + 0 - 5/4*s**4. What is b in y(b) = 0?
1, 3
Let u be (-18)/36*(5/7 + -1). Let i(v) be the first derivative of -4/21*v**3 + 13 + 1/14*v**4 + 0*v + u*v**2. Factor i(q).
2*q*(q - 1)**2/7
Let g(z) be the second derivative of -10*z - 5/42*z**7 + 0 + 25/6*z**3 - 5/6*z**4 + 2/3*z**6 - 5*z**2 - z**5. Solve g(j) = 0 for j.
-1, 1, 2
Factor -168/11*d + 160/11 - 2/11*d**3 + 48/11*d**2.
-2*(d - 20)*(d - 2)**2/11
Suppose 0 = t - 2*p - 2*p - 7, 2*t - 9 = 3*p. Factor 6*r**2 - 50*r**5 + 3 - t*r**4 - 6*r**4 + 47*r**5 - 6*r**3 + 9*r.
-3*(r - 1)*(r + 1)**4
Let u(w) be the first derivative of 9*w**4/28 - 17*w**3/7 + 6*w**2 - 36*w/7 + 60. Solve u(z) = 0 for z.
2/3, 2, 3
Let z(i) = -i**2 + 180*i - 2167. Let k be z(167). Factor 1/3*q + 2*q**3 + 0 + 4/3*q**2 + 4/3*q**k + 1/3*q**5.
q*(q + 1)**4/3
Let l(i) be the first derivative of -5/3*i**4 - 3*i**2 + 0*i + 1/5*i**5 + 13/3*i**3 - 11. Factor l(h).
h*(h - 3)**2*(3*h - 2)/3
Let l(w) be the third derivative of -w**6/120 + 3*w**5/40 - w**4/4 + 5*w**3/3 - 12*w**2. Let n(m) be the first derivative of l(m). Find d such that n(d) = 0.
1, 2
Suppose 3*i = 16 - 49. Let b(u) = -29*u**2 + 70*u + 9. Let c(y) = -14*y**2 + 35*y + 4. Let d(w) = i*c(w) + 6*b(w). Suppose d(n) = 0. What is n?
-1/4, 2
Suppose 0 = -2*k - 5*k. Let s(i) = -i**2 - 6*i + 18. Let t be s(-8). Solve k - 2/5*h**t - 2/5*h = 0.
-1, 0
Let s(x) = -2*x**3 + 6*x**2 + 3*x - 2. Let r be s(3). Factor -2*h**2 + 5*h**5 + r*h**4 - 3*h**5 - 5*h**4 - 2*h**3.
2*h**2*(h - 1)*(h + 1)**2
Let s = 1894/3 - 631. Let d(j) be the first derivative of -1/5*j + s*j**3 + 5 + 2/5*j**2. Factor d(w).
(w + 1)*(5*w - 1)/5
Solve 176*w + 78*w**2 - 33*w**3 + 149*w - 12*w**4 + 94*w - 347*w = 0.
-4, -3/4, 0, 2
Let r = -4 + 7. Suppose -638*m + 642*m - 8 = 0. Find o, given that -2*o**2 - 3*o**4 - o**3 + 4*o**m + o**4 + 2*o - o**r = 0.
-1, 0, 1
Let c = 42 + -33. Let i(l) = 6*l**2 + 2*l. Let a(m) = 13*m**2 + 3*m. Let x(n) = c*i(n) - 4*a(n). Factor x(b).
2*b*(b + 3)
Let z(p) = p**3 - 5*p**2 + 17*p - 32. Let t be z(3). Determine k, given that -k**3 + 7/3*k + 2/3*k**4 - k**2 - t = 0.
-3/2, 1
Let q(n) be the first derivative of -n