or i.
2/3, 1
Let s(f) be the third derivative of 3*f**2 + 0*f**3 - 1/300*f**6 + 0*f + 0 + 1/60*f**4 + 0*f**5. Factor s(t).
-2*t*(t - 1)*(t + 1)/5
Let s = -1/19 - -22/57. Let s*p**2 - 1/3*p**3 - 1/3 + 1/3*p = 0. What is p?
-1, 1
Let k be (-5)/(-10) + 14/4. Let d be (-9)/(-6) - k/(-8). Solve 1/2*b**3 + 0*b**d + 0*b + 0 = 0.
0
Let k = 915 + -912. Factor 9/2*t**5 + 13/2*t**k + 0 + 12*t**4 + t**2 + 0*t.
t**2*(t + 2)*(3*t + 1)**2/2
Let u(i) = -i**3 + 6*i**2 + i - 6. Let x be u(6). Determine c so that x*c**2 + 6*c - 4 + 7 + 3*c**2 = 0.
-1
Let k(c) = -14*c**2 - 3*c + 6. Let z(p) = 20*p**2 + 17*p. Let j(d) = -7*d**2 - 6*d. Let r(b) = 17*j(b) + 6*z(b). Let q(f) = -k(f) - 5*r(f). Factor q(l).
3*(l + 1)*(3*l - 2)
Suppose -x - x + 12 = 2*g, g = 2*x - 3. Solve -5*z**3 + z + 4*z**2 - 3*z + 3*z**g = 0 for z.
0, 1
Let o(s) be the third derivative of -1/3*s**4 + 0*s + s**2 + 1/30*s**5 + 4/3*s**3 + 0. Factor o(q).
2*(q - 2)**2
What is z in -1/2*z**2 - 1/4*z + 0 = 0?
-1/2, 0
Let j = -4 + 7. Factor 2*g - g**2 + 6 + 1 - j - g**2.
-2*(g - 2)*(g + 1)
Suppose -9*k + 12*k = 0. Let f(c) be the third derivative of 0*c - c**2 + k*c**4 - 1/90*c**5 + 0*c**3 + 0 + 1/315*c**7 + 1/504*c**8 - 1/180*c**6. Factor f(q).
2*q**2*(q - 1)*(q + 1)**2/3
Factor -109*a - 32*a**3 + 13*a + 36 + 88*a**2 + 4*a**4 + 0*a**4.
4*(a - 3)**2*(a - 1)**2
Let i = 32 + -27. Let u(c) be the third derivative of -1/36*c**4 - 1/18*c**3 + 0 + c**2 + 0*c - 1/180*c**i. Factor u(n).
-(n + 1)**2/3
Let p = -33 - -35. Determine z, given that 0 - 2/3*z - 2/3*z**p = 0.
-1, 0
Let h = 98 + -96. Find q, given that -1/2*q**3 + 1/4*q**4 + 0 + 0*q + 1/4*q**h = 0.
0, 1
Let u(o) = -3*o**2 - o + 2. Let w(s) = 13*s**2 + 5*s - 8. Let d = 3 + -5. Let j(f) = d*w(f) - 9*u(f). Find i such that j(i) = 0.
-1, 2
Let g be 42/12 + (-3)/2. Suppose 0 = -2*z - z - a + 2, g*z + 2*a - 4 = 0. Suppose t**2 - t**2 + 2 - 2*t**3 + z*t**3 + 2*t - 2*t**2 = 0. Calculate t.
-1, 1
Let q(z) be the second derivative of -7*z**6/10 + 9*z**5/40 + 9*z**4/8 + z**3/2 + 15*z. Let q(g) = 0. Calculate g.
-1/2, -2/7, 0, 1
Let x(t) be the second derivative of -t**4/15 - 17*t**3/15 + 9*t**2/5 + 4*t - 4. Factor x(w).
-2*(w + 9)*(2*w - 1)/5
Solve 51 + 24*u**4 - 8*u**2 - 96*u - u**3 - 179 + 95*u**3 + 2*u**5 + 112*u**2 = 0.
-4, -1, 1
Let u(j) be the third derivative of -j**8/80640 + j**5/60 + 3*j**2. Let w(b) be the third derivative of u(b). Let w(i) = 0. What is i?
0
Let h(y) = 2*y**3 - 7*y**2 + 8*y - 6. Let b(o) = 5*o**3 - 21*o**2 + 23*o - 17. Let l(s) = 6*b(s) - 17*h(s). Find u such that l(u) = 0.
-2, 0, 1/4
Let w(v) be the first derivative of 1 + 1/2*v**4 - 1/2*v**2 + 1/5*v**5 - 2/3*v**3 + v - 1/6*v**6. Let w(m) = 0. Calculate m.
-1, 1
Let -1/7*m**2 + 0 + 0*m = 0. What is m?
0
Let t(q) be the third derivative of -q**7/210 + 7*q**6/60 - q**5 + 25*q**4/12 + 125*q**3/6 + q**2 - 24*q. Factor t(h).
-(h - 5)**3*(h + 1)
Let t(j) be the first derivative of 2*j**7/21 - 2*j**5/5 + 2*j**3/3 + 2*j + 7. Let u(r) be the first derivative of t(r). What is a in u(a) = 0?
-1, 0, 1
Let s = -8 + 7. Let h be (4/12)/(s/(-12)). What is b in -17/2*b**3 + 15/2*b**5 + 0 - 1/2*b**h + 1/2*b**2 + b = 0?
-1, -1/3, 0, 2/5, 1
Let s = 11 - 6. Let l(p) = 3*p - 4*p**2 - 4*p + s*p**2 + 1. Let i(f) = -4*f**2 + 3*f - 3. Let q(u) = -2*i(u) - 6*l(u). Factor q(x).
2*x**2
Let q = 35 + -23. Let z be (18/q)/((-1)/14). Let g(w) = -171*w**2 + 210*w - 39. Let d(i) = 17*i**2 - 21*i + 4. Let a(m) = z*d(m) - 2*g(m). Factor a(j).
-3*(j - 1)*(5*j - 2)
Let h be ((-2)/(-6) + 7/(-12))*-6. Factor -3/2*q**5 + 3*q**3 + 0 + 0*q**2 - h*q + 0*q**4.
-3*q*(q - 1)**2*(q + 1)**2/2
Let i(v) be the second derivative of 9*v**5/20 + 5*v**4/4 - v**3 + 16*v. Find j such that i(j) = 0.
-2, 0, 1/3
Let d(l) be the second derivative of 19/30*l**6 - 1/2*l**2 + 1/3*l**3 + 1/2*l**4 - l**5 - 1/7*l**7 + 0 + 3*l. What is i in d(i) = 0?
-1/3, 1/2, 1
Let a = -192 + 1730/9. Let -a*c + 0 - 2/9*c**2 = 0. What is c?
-1, 0
Suppose 2 = 5*a - 2*p, -2*p = -5 - 3. Factor 8*l**a + 2*l**5 - 3*l**4 - 8*l**2 + 5*l**4.
2*l**4*(l + 1)
Suppose 3*c - 3 = 3*x, -2*x + 3*x = -5*c - 25. Let f be (-68)/(-425)*x/(-2). Find d such that 2/5*d**5 - 2/5*d**4 - f - 4/5*d**3 + 2/5*d + 4/5*d**2 = 0.
-1, 1
Let n(m) = -4*m**4 - 22*m**3 + 16*m**2 - 10. Let v(c) = -c**4 - 7*c**3 + 5*c**2 - 3. Let i(h) = 6*n(h) - 20*v(h). What is s in i(s) = 0?
0, 1
Let a be (0 + -2)*3/(-2). Suppose s**3 + s**a + 3*s**2 + s**3 = 0. Calculate s.
-1, 0
Let h(m) = -m**5 - m**4 + m**3 + m**2. Let f(w) = -7*w**5 - 14*w**4 - 2*w**3 + 12*w**2 + 9*w + 2. Let x(d) = 3*f(d) - 6*h(d). Find u such that x(u) = 0.
-1, -2/5, 1
Let a = -1/11 + 16/55. Let s = 127 + -632/5. Let -3/5*w - a + w**2 - 4/5*w**4 + s*w**3 = 0. What is w?
-1, -1/4, 1
Let v(n) be the second derivative of n**6/160 - n**5/40 + n**4/32 + 3*n**2/2 + 6*n. Let u(t) be the first derivative of v(t). Factor u(y).
3*y*(y - 1)**2/4
Let c(x) be the first derivative of x**4/4 - 5*x**3/3 + 7*x**2/2 - 3*x + 13. Factor c(n).
(n - 3)*(n - 1)**2
Let s(k) = 4*k**3 - 10*k**2 + 7. Let w(l) = 2 - 3*l**2 + 0*l**3 + l**3 + 0. Let i(r) = -4*s(r) + 14*w(r). Factor i(n).
-2*n**2*(n + 1)
Let o be -1*3*(-14)/21. Suppose 49/4*k**4 - 3/4*k**o + 35/2*k**3 + 1 - 5*k = 0. Calculate k.
-1, 2/7
Suppose 0 = -2*u + 4*l - 28, l + 2*l - 26 = 2*u. Let h be 18/(-30) + (-56)/u. Find j, given that 1/3*j**4 + 0*j - 1/3*j**h + 1/3*j**3 + 0 - 1/3*j**2 = 0.
-1, 0, 1
Factor 12*d - d**2 - 1433 + 1433.
-d*(d - 12)
Let o(x) be the first derivative of 4*x**3/3 + 6. Find s such that o(s) = 0.
0
Factor 3*z**3 - z**3 + 14*z + 4 - 20*z.
2*(z - 1)**2*(z + 2)
Let -1/5 - 2/5*l - 1/5*l**2 = 0. What is l?
-1
Let o = -23/11 + 289/154. Let w = 1/14 - o. Factor -2/7*x**4 + 0 - w*x + 2/7*x**3 + 2/7*x**2.
-2*x*(x - 1)**2*(x + 1)/7
Let t(d) be the first derivative of 0*d**3 + 0*d + 2/5*d**5 + 1/5*d**4 + 1/5*d**6 + 0*d**2 + 2. Let t(k) = 0. What is k?
-1, -2/3, 0
Let k(b) be the first derivative of -b**4/12 + 4*b**3/9 - 5*b**2/6 + 2*b/3 + 29. Factor k(u).
-(u - 2)*(u - 1)**2/3
Let o be ((-8)/(-64))/(-2 - 9/(-4)). Factor -1/2*i**2 + o*i**5 + 0 + 3/2*i**3 + 0*i - 3/2*i**4.
i**2*(i - 1)**3/2
What is f in -2/5*f**3 - 2/5 - 6/5*f - 6/5*f**2 = 0?
-1
Let d(q) be the first derivative of -2*q**3/21 + 8*q/7 + 6. Solve d(y) = 0.
-2, 2
Factor 0*o + o**2 + 2*o - 3*o.
o*(o - 1)
Let v(p) be the second derivative of 0*p**3 + 0 + 0*p**4 - 1/147*p**7 - p + 0*p**2 - 1/105*p**6 + 1/35*p**5. What is n in v(n) = 0?
-2, 0, 1
Let l(m) be the first derivative of -5*m**4/4 - 10*m**3/3 + 25. Factor l(i).
-5*i**2*(i + 2)
Let u be (-31)/6 - -5 - 38/(-12). Let t(z) be the first derivative of 0*z + 3 + 0*z**2 - 1/3*z**u. Let t(y) = 0. What is y?
0
Let h(p) = p**3 + p**2 - 2. Let s(t) = -1. Suppose -3*i = -2*i - 2. Let m(d) = i*s(d) - h(d). Factor m(b).
-b**2*(b + 1)
Let g be 12*(2 - 28/16). Let b(z) be the third derivative of -1/480*z**6 + 0*z + 1/840*z**7 - 1/240*z**5 + 0*z**3 + 0 - g*z**2 + 1/96*z**4. Factor b(q).
q*(q - 1)**2*(q + 1)/4
Let n = 11 + -11. Suppose 5*f - 2*z - 22 - 3 = n, -4*z + 15 = 3*f. Factor 1/3*t**3 + 0*t**4 + 0*t - 1/3*t**f + 0*t**2 + 0.
-t**3*(t - 1)*(t + 1)/3
Let b(i) be the first derivative of -i**8/2016 - i**7/420 + i**5/90 + 9*i**2/2 + 5. Let g(j) be the second derivative of b(j). Factor g(v).
-v**2*(v - 1)*(v + 2)**2/6
Let z(f) be the third derivative of -3/4*f**3 + 0*f - 1/120*f**5 + 5*f**2 + 0 + 1/8*f**4. Factor z(s).
-(s - 3)**2/2
Find j such that j**2 - 5/2*j**3 + 3/2*j + 0 = 0.
-3/5, 0, 1
Let y be (-6 + 1)*(-1 - 0). Let z(x) be the second derivative of 0*x**2 + 0 - 1/6*x**y + x + 4/9*x**3 - 4/9*x**4. Let z(g) = 0. What is g?
-2, 0, 2/5
Factor -10*u**2 + 4*u + 7*u**2 - 5*u**2 + 2*u**2 + 2*u**3.
2*u*(u - 2)*(u - 1)
Let v(b) = b**3 + b + 2. Suppose -4*h - h = 0. Let y be v(h). Solve 0 + 0*p + 1/3*p**y = 0 for p.
0
Let m = -11 + 19. Factor -12*y**3 + 8*y**4 - 2*y**5 - 3*y**4 + m*y**2 - 2*y + 3*y**4.
-2*y*(y - 1)**4
Factor 1/3*t**3 - 2/3 + 0*t**2 - t.
(t - 2)*(t + 1)**2/3
Let k(v) = v**3 - 7*v**2 + 9*v - 5. Let w(x) = 8*x**3 - 57*x**2 + 73*x - 41. Let s(f) = 51*k(f) - 6*w(f). Factor s(g).
3*(g - 3)*(g - 1)**2
Let z = -10 + 12. Let r be -4*(-2)/(-5) + z. Factor -r*o - 6/5*o**2 + 0.
-2*o*(3*o + 1)/5
Let o = -3611/55 - -874/11. What is k in -21/5*k**5 - 12/5 - 48/5*k + o*k**3 + 3*k**4 - 3/5*k**2 = 0?
-1, -2