 + 96 = 0.
-32, -1
Let o(f) = 5*f**2 + 3*f + 4. Let m(n) = -6 - 13*n**2 - 3*n**2 + 0*n - 8*n - 6. Let c(r) = -6*m(r) - 20*o(r). Suppose c(g) = 0. What is g?
-2, -1
Let s(f) = 3*f - 22. Let k be s(9). Let v(t) = -23*t + 118. Let l be v(5). Let 1/2*z + 3/4*z**2 - 3/4*z**l - 7/4*z**4 - 3/4*z**k + 0 = 0. What is z?
-1, 0, 2/3
Let y(n) = -n**3 + 14*n**2 - 9*n - 48. Let c be y(13). Let d(a) be the first derivative of 1/18*a**3 - 1/3*a**2 - 1/6*a + 1/6*a**c - 1. Solve d(x) = 0.
-1, -1/4, 1
Let u(d) be the second derivative of -d**6/30 - d**5/10 + d**4/12 + d**3/3 - 110*d + 1. Determine n so that u(n) = 0.
-2, -1, 0, 1
Let p(g) be the second derivative of -g**4/12 + g**3/6 + 10*g**2 + 156*g. Factor p(c).
-(c - 5)*(c + 4)
Let f be (5 + (-165)/(-6))/(2/4). Factor -3*q**2 + 38*q - f*q + 33*q + 7 + 2.
-3*(q - 3)*(q + 1)
Let k(w) = -2*w**3 - 2*w**2 + 2*w + 2. Let x(m) = m**3 - m. Let d(v) = -k(v) + 6*x(v). Factor d(b).
2*(b - 1)*(b + 1)*(4*b + 1)
Let r be (-2 + -13)/(-3)*-1. Let c(z) = z**2 + 6*z + 7. Let t be c(r). Solve 2*g - 4*g**2 + g - 2 + g**t - 3*g**3 + 5 = 0.
-1, 1
Factor 1/3*j**3 + 0 - 1/3*j**2 - 1/3*j + 1/3*j**4.
j*(j - 1)*(j + 1)**2/3
Let c be -6 + (5 - 5) - (-6 + -2). Let m(k) be the first derivative of 1/6*k + 1/3*k**c + 2/9*k**3 - 1/18*k**6 + 10 - 1/12*k**4 - 1/6*k**5. Solve m(z) = 0.
-1, -1/2, 1
Suppose -13*f = -9*f - 8. Factor 4*r**2 - 4 + 0*r**2 - 5*r**2 + 3*r**f - 2*r.
2*(r - 2)*(r + 1)
Solve 0 - 30*h + 3/4*h**2 = 0 for h.
0, 40
Let n(c) be the first derivative of -2*c**6/9 - 8*c**5/5 - 37*c**4/12 - 7*c**3/3 - 2*c**2/3 - 94. Determine g, given that n(g) = 0.
-4, -1, -1/2, 0
Let c(b) = 58*b**2 + 50*b - 28. Let h(n) = 57*n**2 + 47*n - 26. Let j(z) = -3*c(z) + 2*h(z). Factor j(w).
-4*(3*w + 4)*(5*w - 2)
Let w(n) = 18*n + 308. Let l be w(-17). Factor 0 - 2/5*j**l + 4/5*j.
-2*j*(j - 2)/5
Let g = -229 - -231. Let o(a) be the second derivative of 1/4*a**4 + 24*a**g + 0 - 6*a - 4*a**3. Determine h, given that o(h) = 0.
4
Suppose -63 - 65 = -3*p - l, -4*p + 2*l + 174 = 0. Let a = 43 - p. Solve a - 4/9*u**2 - 8/9*u**3 + 0*u - 4/9*u**4 = 0.
-1, 0
Let v(u) be the first derivative of 2*u**6/3 + 32*u**5/5 - 67*u**4 - 1064*u**3/3 + 4032*u**2 - 10368*u - 368. Determine k, given that v(k) = 0.
-9, 2, 4
Let v(f) be the third derivative of 5/12*f**4 + 0*f + 0 - 25/3*f**3 - 1/120*f**5 - 3*f**2. Solve v(w) = 0 for w.
10
Let m be 12/9*-2*-3. Suppose -6 = -4*v + 6. Determine l, given that -26*l**2 - 22*l**v - m - 24*l + 24*l**3 - 2*l**4 - 14*l**3 = 0.
-2, -1
Suppose 5*p = 2*k - 16, -177 + 167 = 5*p. Let q(l) be the third derivative of 2*l**2 - 8/3*l**k + 0*l + 1/3*l**4 - 1/60*l**5 + 0. Suppose q(x) = 0. Calculate x.
4
Suppose 0 = -h + 15 - 9. Factor -5*w - h*w + 16*w - 5*w**2.
-5*w*(w - 1)
Let u(t) = -177*t + 2483. Let j be u(14). Suppose 0*k**2 + 0*k**3 - 6/5*k**4 + 0 + 0*k - 2/5*k**j = 0. What is k?
-3, 0
Let x(v) be the third derivative of v**5/80 + 33*v**4/16 + 1089*v**3/8 + v**2 + 33. Factor x(n).
3*(n + 33)**2/4
What is k in 21*k**2 + 3*k**5 + 1186 + 15*k**4 - 39*k**3 - 1186 = 0?
-7, 0, 1
Let k(r) be the second derivative of 0 + 0*r**2 + 5/6*r**3 - 5/12*r**4 + 15*r. Factor k(m).
-5*m*(m - 1)
Suppose -m + 5*m = -6*m. Suppose m = -33*c + 27*c. Solve -4/9*u**2 - 2/9*u**5 + 0*u + 4/9*u**4 + c + 2/9*u**3 = 0 for u.
-1, 0, 1, 2
Let q(b) = 4*b**3 + 2*b**2 + 6*b - 7. Let n(v) = 9 + 0*v + v**3 + 0 - 10 + v. Let p(a) = 10*n(a) - 2*q(a). Solve p(u) = 0.
-1, 1, 2
Let l(z) = -z**2 - z + 1. Let x(m) = 12*m**2 + 6*m - 33. Let r(s) = 3*l(s) + x(s). Solve r(a) = 0.
-2, 5/3
Suppose -4*h**2 - 5*h**3 - 44*h**2 - 4*h**2 + 17*h**2 + 300*h = 0. What is h?
-12, 0, 5
Let t(h) be the second derivative of -h**9/17010 + h**8/10080 + h**7/11340 - 17*h**4/12 - 11*h. Let m(x) be the third derivative of t(x). Factor m(r).
-2*r**2*(r - 1)*(4*r + 1)/9
Let h(y) be the third derivative of -1/720*y**6 - 1/144*y**4 + 0 + 0*y**3 - 17*y**2 + 1/180*y**5 + 0*y. What is o in h(o) = 0?
0, 1
Let z(v) be the first derivative of v**6/540 - v**5/90 - v**4/12 + 14*v**3/3 - 19. Let g(q) be the third derivative of z(q). Solve g(s) = 0 for s.
-1, 3
Let y = 20711/3 - 6903. Solve -2*z - 3/2*z**2 - y - 1/3*z**3 = 0 for z.
-2, -1/2
Suppose h = -5*p + 31, 5*p - 7*p = 4*h - 16. Suppose c - 2*g + 1 - 3 = 0, p = 3*c - 2*g. Solve 15/2*s**c + 0 + 3/2*s**4 - 3*s - 6*s**3 = 0.
0, 1, 2
Factor 31 - 46 - 24*n**2 + 15 - 4*n**3 + 28*n.
-4*n*(n - 1)*(n + 7)
Suppose 3*f = -0*f + 18. Suppose t**2 + 15*t**3 - f*t**2 - 5*t**2 + 20*t**3 = 0. Calculate t.
0, 2/7
Let g(f) = -2*f**3 + f**2 + 22*f + 1. Let l be g(0). Solve 3/2*h - l - 1/2*h**2 = 0.
1, 2
Let w = 79 + -72. Suppose -w*f - f = f. Factor 1/2*i - 5/4*i**3 + f + i**4 - 7/4*i**2.
i*(i - 2)*(i + 1)*(4*i - 1)/4
Suppose 609*y = 618*y. Let a(c) be the second derivative of -1/2*c**3 + y*c**2 - 3*c + 1/4*c**4 + 0. Suppose a(v) = 0. Calculate v.
0, 1
Solve 85*u - 18 - 302 - 61*u + 5*u**2 - 84*u = 0 for u.
-4, 16
Let i(z) be the third derivative of -1/12*z**5 + 5/8*z**4 + 0 + 21*z**2 + 0*z - 5/3*z**3. Factor i(r).
-5*(r - 2)*(r - 1)
Suppose 5*x + 0*p = -3*p + 65, 0 = -3*x - 2*p + 38. Let c be 60/x - 3/4. Factor 5*r**3 - 8*r**c - 4*r**4 + 4*r**3 + 2*r**2 + 3*r**4.
-r**2*(r - 2)*(r + 1)
Let i(z) = 7*z**4 + 26*z**3 + 13*z**2 + 6. Let p(m) = 13*m**4 + 48*m**3 + 24*m**2 + 11. Let b(a) = -11*i(a) + 6*p(a). Suppose b(t) = 0. What is t?
-1, 0
Let c(x) be the second derivative of x**4/54 + 5*x**3/27 - 2*x**2/3 - 36*x. Factor c(o).
2*(o - 1)*(o + 6)/9
Let i = 118 + -163. Let b be 2/14 + (i/21 - -2). Factor b - 6/11*n + 8/11*n**2.
2*n*(4*n - 3)/11
Let o(n) = 8*n**2 - 52*n - 68. Let c(k) = 9*k**2 - 50*k - 69. Let r(f) = 4*c(f) - 5*o(f). Factor r(l).
-4*(l - 16)*(l + 1)
Let -34/7*h**4 + 0*h - 128/7*h**2 + 2/7*h**5 + 160/7*h**3 + 0 = 0. What is h?
0, 1, 8
Let v(n) be the first derivative of -2*n**3/15 + 6*n**2/5 + 32*n/5 - 198. Factor v(x).
-2*(x - 8)*(x + 2)/5
Let l(s) be the third derivative of -9*s**2 + 0 + 1/24*s**4 + 1/40*s**6 + 0*s**3 + 0*s + 1/15*s**5. Determine x, given that l(x) = 0.
-1, -1/3, 0
Let b(n) be the second derivative of 63*n**5/5 - 31*n**4/4 + n**3 - 3*n - 1. Determine r so that b(r) = 0.
0, 1/12, 2/7
Let s(v) be the first derivative of 22*v**3/3 - 12*v**2 + 2*v + 38. Solve s(t) = 0 for t.
1/11, 1
Let i = -16255 + 16257. What is r in 0*r**i - 4/5 - 6/5*r + 2/5*r**3 = 0?
-1, 2
Let s(f) = -19*f**2 - 122*f - 117. Let q(p) = -8*p**2 - 60*p - 58. Let x(w) = 7*q(w) - 3*s(w). Factor x(c).
(c - 55)*(c + 1)
Factor -2 - 1/4*w**4 + 1/4*w**3 + 3/2*w**2 - w.
-(w - 2)**2*(w + 1)*(w + 2)/4
Solve 40/3*a - 17*a**2 + 1/3*a**5 - 3*a**4 + 31/3*a**3 - 4 = 0.
1, 2, 3
Let v(l) be the first derivative of -l**6/180 - l**5/48 - l**4/48 - 11*l**3/3 + 3. Let r(f) be the third derivative of v(f). Find g, given that r(g) = 0.
-1, -1/4
Let x(r) be the third derivative of 34*r**2 - 2/3*r**4 + 0*r + 8/3*r**3 + 1/15*r**5 + 0. Determine k, given that x(k) = 0.
2
Let x(k) = 5*k**5 - 3*k**4 - 3*k**3 - 5*k**2 + 6*k. Let t(p) = -p**5 + p**4 + p**2 - p. Let q(l) = -6*t(l) - x(l). Find c, given that q(c) = 0.
0, 1
Let w(o) be the second derivative of 1/4*o**3 + 8*o - 3/8*o**2 + 0 - 1/16*o**4. Suppose w(h) = 0. Calculate h.
1
What is d in -3/5*d**4 + 0 + 0*d - 6/5*d**3 - 3/5*d**2 = 0?
-1, 0
Let m = -467 + 2337/5. Factor 2/5*n**2 + 2/5*n - m*n**3 - 2/5.
-2*(n - 1)**2*(n + 1)/5
Let j = -31 + 35. Find d, given that 33*d**5 + 0*d**4 - 7*d**5 - 5*d**j - 10*d**3 + 5*d**2 - 16*d**5 = 0.
-1, 0, 1/2, 1
Find p such that -8/11*p + 8/11 + 2/11*p**3 - 2/11*p**2 = 0.
-2, 1, 2
Let q(y) be the second derivative of -2*y**7/175 - y**6/50 + 3*y**5/100 + y**4/20 - y**3/10 + 7*y**2 - y. Let o(x) be the first derivative of q(x). Factor o(h).
-3*(h + 1)**2*(2*h - 1)**2/5
Let v(m) be the second derivative of 0 + 25/8*m**4 + 125/6*m**3 + 1/4*m**5 + 625/8*m**2 + 1/120*m**6 + 5*m. Suppose v(u) = 0. What is u?
-5
Let b(r) be the second derivative of -4*r**6/15 - 3*r**5/2 - 4*r**4/3 + r**3 + 71*r. Suppose b(d) = 0. Calculate d.
-3, -1, 0, 1/4
Let m be (101 + 0)/(-5 + 6). Suppose -3*q = 4*u - m, -4*q + 3*q = 2*u - 49. Let -33 - u*o - 5*o**2 + 17*o + 13 + 26*o = 0. Calculate o.
2
Suppose 55*i = 31*i + 31*i. Let w(f) be the first derivative of 3/4*f**4 + 3/5*f**5 - f**3 + i*f - 3/2*f**2 - 5. Factor w(h).
3*h*(h - 1)*(h + 1)**2
Let z = 1876/3 