 3*x**2 + 14*x + 31. Let s(j) = -24*j**2 - 111*j - 249. Let v(k) = 33*f(k) + 4*s(k). Determine q, given that v(q) = 0.
-3
Let n = 1066/3 + -349. Let z = n + -6. Factor -1/3*w**2 + 0 - z*w.
-w*(w + 1)/3
Let l = 132077 - 33679543/255. Let d = 2/51 + l. Solve 2/5*x**2 - d*x**3 + 4/5*x + 0 = 0 for x.
-1, 0, 2
Suppose 2*h - 3 = 1. Let g(l) be the second derivative of 1/6*l**3 + h*l + 1/4*l**4 + 0*l**2 + 1/30*l**6 + 3/20*l**5 + 0. Factor g(z).
z*(z + 1)**3
Let n be -4*(-1)/3*3. Let m be (-3 - 1/(-2)) + (3 - 0). Let 0*q**3 - 1/4*q + 0 + 1/2*q**n - m*q**2 + 1/4*q**5 = 0. What is q?
-1, 0, 1
Suppose -3*w + 2 + 7 = 0. Suppose -2*i**w + 2*i**4 + i + i - 2*i**2 + 0*i = 0. What is i?
-1, 0, 1
Let -6/5*l - 1/5*l**2 - 1 = 0. Calculate l.
-5, -1
Let b be -1 + 3 - (-2 + 1). Solve -2*p**2 + p**2 - p**b + 5*p - 5*p = 0 for p.
-1, 0
Let r = 66 - 131/2. Find p such that -1/2*p + 1/2*p**3 + 1/2*p**2 + 0 - r*p**4 = 0.
-1, 0, 1
Let p(a) be the third derivative of a**9/12096 - a**8/3360 + a**7/3360 + a**3/3 + a**2. Let r(m) be the first derivative of p(m). Suppose r(v) = 0. What is v?
0, 1
Let u = 14 + 2. Factor -u*z + 16*z - z**4.
-z**4
Let 3 + 2 + 3*p + 42*p**3 - 7 - 43*p**3 = 0. Calculate p.
-2, 1
Let r(t) be the second derivative of 0 - t - 1/24*t**4 + 1/4*t**3 - 1/2*t**2. Factor r(q).
-(q - 2)*(q - 1)/2
Factor -8*q + 6*q**3 - 4*q**2 + 24*q**2 - 12*q**2 + 2*q**5 - 8*q**4.
2*q*(q - 2)**2*(q - 1)*(q + 1)
Let s(g) = -24*g**3 - 70*g**2 + 34*g + 42. Let k(q) = q**3 + 2*q**2 - q - 1. Let n(u) = 36*k(u) + 2*s(u). Suppose n(i) = 0. What is i?
-6, -2/3, 1
What is r in 11*r**4 + 18*r**2 + 3*r**4 - 17*r**3 - 13*r**3 - 2*r**5 = 0?
0, 1, 3
Suppose 0 = -23*k + 9*k + 28. Factor -32/7 - 2/7*w**4 + 64/7*w + 16/7*w**3 - 48/7*w**k.
-2*(w - 2)**4/7
Let l(g) be the second derivative of -16*g**5/5 - 8*g**4 - 6*g**3 - 2*g**2 - 5*g. Solve l(c) = 0.
-1, -1/4
Let r(h) be the first derivative of 3*h**4/2 + 15*h**3/2 - 18*h**2 + 15*h/2 - 24. Determine g so that r(g) = 0.
-5, 1/4, 1
Let c(t) = -2*t**5 - 2*t**4 - 12*t**3 - 12*t**2 - 4. Let h(l) = -3*l**5 - 3*l**4 - 23*l**3 - 23*l**2 - 7. Let x(n) = -7*c(n) + 4*h(n). Factor x(m).
2*m**2*(m - 2)*(m + 1)*(m + 2)
Let a be (-5)/(-3) + 1/3. Let s(v) be the third derivative of 0*v - a*v**2 - 1/3*v**3 + 0 + 1/12*v**5 + 1/8*v**4. Solve s(m) = 0 for m.
-1, 2/5
Let g(u) = -u**4 + u**2. Let v(h) be the first derivative of -2*h**5/5 + 3*h**4/4 - 4*h**3/3 + 3. Let b(d) = 4*g(d) + v(d). Factor b(z).
-3*z**3*(2*z - 1)
Suppose c - 2*t = 4, 6*c - 12 = 2*c + 4*t. Suppose -2*z**2 + z**c + 0*z**2 = 0. What is z?
0
Let n(y) be the first derivative of 3/7*y**2 + 6/35*y**5 - 4 - 1/7*y**4 - 1/21*y**6 - 2/7*y - 4/21*y**3. Let n(s) = 0. Calculate s.
-1, 1
Let b(l) be the first derivative of -5*l**4 - 20/3*l**3 - 1/3*l**6 - 2 - 2*l**5 - 5*l**2 - 2*l. Factor b(d).
-2*(d + 1)**5
Let k(d) be the second derivative of d**5/10 - d**4/3 + 2*d. Factor k(l).
2*l**2*(l - 2)
Factor 118*w**3 - 5*w**2 - 116*w**3 - 7*w**2 + 64.
2*(w - 4)**2*(w + 2)
Suppose -24 = -9*n + 3. Factor 2/7*y**4 - 8/7*y**n + 10/7*y**2 + 0 - 4/7*y.
2*y*(y - 2)*(y - 1)**2/7
Suppose 4*h + 0*q = q + 2, -4*h + 2*q = -4. Factor h - 1/3*p**2 + 1/3*p**4 - 1/3*p + 1/3*p**3.
p*(p - 1)*(p + 1)**2/3
Let t(c) = 7*c**4 - c**3 - c**2 + c. Let n(i) = -8*i**4. Let r(d) = -3*n(d) - 4*t(d). Factor r(p).
-4*p*(p - 1)**2*(p + 1)
Let k(l) = 3*l**2. Let s(a) be the second derivative of a**4/3 - 2*a. Let d(w) = -5*k(w) + 4*s(w). What is o in d(o) = 0?
0
Let s be ((-18)/135)/(22/24). Let y = s + 18/55. Find o such that 0 + 0*o**2 - y*o**4 + 0*o - 2/11*o**3 = 0.
-1, 0
Let b(z) be the first derivative of -5 + 0*z + 0*z**2 + 1/12*z**3 - 1/16*z**4. Determine a, given that b(a) = 0.
0, 1
Let y be -4*11*2/(-8). Suppose -2*x + y = -9. Factor -x*t**2 - 4*t**2 + 90*t**3 - 8*t - 2*t**2.
2*t*(5*t - 2)*(9*t + 2)
Suppose 0 = -9*f + 15*f - 30. Let s(b) be the third derivative of 0*b + 1/120*b**6 + 0 - 3*b**2 - 1/24*b**4 + 0*b**3 + 0*b**f. Find t, given that s(t) = 0.
-1, 0, 1
Let i(c) be the third derivative of -c**7/70 - 5*c**6/72 - 7*c**5/60 - c**4/24 + c**3/9 + 8*c**2. Factor i(j).
-(j + 1)**3*(9*j - 2)/3
Suppose p - 8 = 2*j - p, -8 = -2*j - 2*p. Suppose 5*h - 6*s + s - 5 = 0, -h + 5*s + 5 = j. Find v, given that h*v**2 + 2 - v**2 - v**2 = 0.
-1, 1
Let q(o) = -4*o**3 + 8*o**2 + 16*o + 10. Let j = -26 - -37. Let p(u) = -7*u**3 + 16*u**2 + 31*u + 19. Let h(s) = j*q(s) - 6*p(s). Find t, given that h(t) = 0.
-2, -1
Let l = 14/33 - 1/11. Let h(v) = -31*v - 339. Let q be h(-11). Solve 4/3*k**4 + l*k - 4/3*k**q - 1/3*k**3 + 0 = 0 for k.
-1, 0, 1/4, 1
Let y(d) be the third derivative of d**5/90 + 7*d**4/18 + 49*d**3/9 + 6*d**2 + 2. Factor y(j).
2*(j + 7)**2/3
Let v(m) be the second derivative of m**8/2240 - m**7/840 - m**6/120 + m**4/4 - 2*m. Let s(t) be the third derivative of v(t). Factor s(k).
3*k*(k - 2)*(k + 1)
Let f(p) be the first derivative of -4*p**3/3 + 7*p**2/3 - 4*p/3 - 6. Factor f(l).
-2*(2*l - 1)*(3*l - 2)/3
Let q(v) = v**2 - 6*v - 4. Let r be q(7). Let w(b) be the first derivative of -2/7*b**2 + 3 + 2/21*b**r + 0*b. Determine n, given that w(n) = 0.
0, 2
Let j = 2/171 + 226/171. Let r = -587/3 - -196. Factor j + r*b**2 - 4/3*b.
(b - 2)**2/3
Let y(j) = 2*j**4 - 2*j**2 - 3. Let x(n) = -3*n**4 + 3*n**2 + 7. Let m(v) = 3*x(v) + 7*y(v). Factor m(z).
5*z**2*(z - 1)*(z + 1)
Suppose g = 4*q + 6 + 2, 10 = -2*g - 5*q. Let s(r) be the third derivative of g - 1/60*r**5 + 0*r**3 + r**2 + 0*r + 0*r**4. Factor s(w).
-w**2
Let h(b) be the second derivative of -b**5/10 - b**4/3 - b**3/3 - b. Let h(v) = 0. What is v?
-1, 0
Let z(j) = -3*j**2 + 8*j + 4. Let t(y) = y**2 - y. Let k(r) = -12*t(r) - 3*z(r). Factor k(m).
-3*(m + 2)**2
Suppose -13*a = -17*a + 8. Solve -i + i**a + i**2 - i**2 = 0 for i.
0, 1
Find w such that -3*w**3 + 3/2*w**5 + 3/2*w + 0*w**2 + 0 + 0*w**4 = 0.
-1, 0, 1
Factor -22 - 13 - 2*k - k**2 + 34.
-(k + 1)**2
Determine n, given that 6*n**3 + 0*n**2 + 0 + 24/17*n**5 - 8/17*n - 98/17*n**4 = 0.
-1/4, 0, 1/3, 2
Let v(f) be the second derivative of -5*f**4/84 - 2*f**3/7 - 2*f**2/7 + 8*f. Factor v(o).
-(o + 2)*(5*o + 2)/7
What is b in -6*b**5 - 6*b + 27*b**4 + 27*b**5 - 45*b**3 - 27*b**2 + 30*b**3 = 0?
-1, -2/7, 0, 1
Let k be 4/(-30) + (-170)/(-150). Let o(i) be the first derivative of 4*i - 2/3*i**3 + k - i**2. Solve o(y) = 0 for y.
-2, 1
Suppose 0*k - 8*k = 4*k. Determine q, given that -1/2*q**2 + k*q + 1/2 = 0.
-1, 1
Suppose -2 = -g - 5. Let r(h) = -7*h**2 + 9*h. Let t(p) = -4*p**2 + 5*p. Let f be 6 - (2 + (-3)/3). Let q(w) = f*t(w) + g*r(w). Suppose q(y) = 0. What is y?
0, 2
Let y = -6/5 + 257/210. Let c(m) be the second derivative of -4/21*m**3 - 3*m + 4/7*m**2 + 0 + y*m**4. Factor c(v).
2*(v - 2)**2/7
Let d(w) = -4*w + w**2 - 6*w + 0*w + 12. Let c be d(9). Find q such that q**2 - 3*q**3 + 4*q**c - q**4 + 0*q - q = 0.
-1, 0, 1
Determine n, given that -n**4 - 1/3*n + 1/3*n**3 + n**2 + 0 = 0.
-1, 0, 1/3, 1
Suppose 28*a - 102 = -23*a. Suppose 1/6*v - 1/6*v**a + 0 = 0. What is v?
0, 1
Let f = -1033/3 + 345. Factor -x + 1/3*x**3 + f + 0*x**2.
(x - 1)**2*(x + 2)/3
Determine o, given that -1/2*o**2 - 1/4*o**3 + 0 + 3/4*o = 0.
-3, 0, 1
Suppose 4 - q**2 - 4*q**2 + 6*q**2 + 4*q = 0. Calculate q.
-2
Let r(a) = -a**3 - 47*a**2 + 258*a - 98. Let x be r(-52). Factor -x - 9/2*d**2 - 3/4*d**3 - 9*d.
-3*(d + 2)**3/4
Let p(x) be the third derivative of -x**5/140 + 3*x**4/56 - x**3/7 + 3*x**2. Find m such that p(m) = 0.
1, 2
Let w(p) = -2*p**2 - 13*p + 6. Let h(u) = -8*u**2 - 51*u + 23. Let a(t) = 2*h(t) - 9*w(t). Solve a(b) = 0.
-8, 1/2
Let m(s) be the third derivative of -s**5/60 - s**4/8 - s**3/3 - 2*s**2. Factor m(l).
-(l + 1)*(l + 2)
Let s(a) = -7*a**4 + 35*a**3 - 55*a**2 + 27*a - 2. Let j(r) = -120*r**4 + 595*r**3 - 935*r**2 + 460*r - 35. Let d(i) = -2*j(i) + 35*s(i). Factor d(b).
-5*b*(b - 5)*(b - 1)**2
Solve -35*f**2 - 9*f**2 - 4*f**3 + 20*f**2 - 24 - 44*f = 0 for f.
-3, -2, -1
Let p = 7 + -8. Let q(m) = m**5 - m**2 - 1. Let k(z) = -3*z**5 + 6*z**4 - 6*z**3 - 6*z**2 + 3*z + 12. Let g(d) = p*k(d) - 6*q(d). Find x, given that g(x) = 0.
-2, -1, 1
Let q be (4/(-9))/(88/(-66)). Let m(l) be the first derivative of -1/3*l**4 + q*l - 1/9*l**3 + 2/3*l**2 + 2. Solve m(t) = 0 for t.
-1, -1/4, 1
Let m(o) be the first derivative of 2*o**3/3 - 2*o**2 - 12. Sol