 p**2 + 2*p + 31. Let b be s(6). Let v = -236/3 + b. Suppose 2*h**2 - 4*h + 8/3 - v*h**3 = 0. Calculate h.
2
Let v(h) be the third derivative of h**8/336 - 59*h**7/105 + 1199*h**6/40 - 1711*h**5/15 + 841*h**4/6 + 615*h**2. What is x in v(x) = 0?
0, 1, 58
Let d(b) be the second derivative of b**5/60 - b**4/18 - 2*b**3/9 + 4*b**2/3 + 5*b + 5. Solve d(g) = 0.
-2, 2
Let t(g) be the second derivative of -21 - 1/150*g**6 - g - 13/60*g**4 - 2/5*g**3 - 2/5*g**2 - 3/50*g**5. Factor t(b).
-(b + 1)**2*(b + 2)**2/5
Factor -6*y**2 - 2/11*y**3 - 576/11*y - 512/11.
-2*(y + 1)*(y + 16)**2/11
Let b(g) be the second derivative of g**5/30 + g**4/4 - 15*g**2 + 48*g. Let x(a) be the first derivative of b(a). Suppose x(z) = 0. What is z?
-3, 0
Let n(z) be the second derivative of -z**6/10 + 13*z**5/10 - 13*z**4/12 - 13*z**3/3 + 8*z**2 - 45*z - 4. Solve n(i) = 0 for i.
-1, 2/3, 1, 8
Suppose -2*v**2 + 2*v**3 + 12 + 2/7*v**4 - 86/7*v = 0. Calculate v.
-7, -3, 1, 2
Suppose 0 = 3*w - 4*b + 16, -10 + 0 = 2*w - 2*b. Let m(x) = -x**2 - 3*x + 7. Let o be m(w). Solve 3*l**o - 9/2*l**2 - 1/2*l**4 + 0*l + 0 = 0.
0, 3
Let z(c) be the second derivative of c**6/90 - 5*c**5/12 + 2*c**4/3 + 265*c. Solve z(h) = 0.
0, 1, 24
Let z(j) be the second derivative of 21*j**6/55 - 2*j**5/55 - 67*j**4/66 + 4*j**3/33 + 4*j**2/11 - 4*j - 13. Suppose z(g) = 0. Calculate g.
-1, -2/9, 2/7, 1
Let x(d) = -d**2 - 19*d - 30. Let v be x(-17). Factor -3*f**2 + 2*f**4 + 3*f**5 - 56*f**3 + 5*f**v + 59*f**3 - 2*f.
f*(f + 1)**3*(3*f - 2)
Let t(d) be the second derivative of -d**5/4 - 5*d**4/6 + 25*d**3/2 + 291*d. Solve t(z) = 0.
-5, 0, 3
Let h(f) be the first derivative of -11 - 3/4*f**4 + 0*f**2 + 2*f**3 - 24/5*f**5 + 0*f - 5/2*f**6. Factor h(l).
-3*l**2*(l + 1)**2*(5*l - 2)
Let u(t) be the third derivative of t**5/12 - 5*t**4/12 + 5*t**3/6 + 4*t**2 + 6. Determine y so that u(y) = 0.
1
Factor -15*u**2 + 2 - 14*u - 3 - 8*u + 30*u.
-(3*u - 1)*(5*u - 1)
What is g in -328*g**2 + 164*g + 128*g**3 + 1395*g**5 - 1431*g**5 + 18*g**4 + 78*g**4 - 24 = 0?
-2, 1/3, 1, 3
Let m(a) be the first derivative of a**3 + 3/2*a**2 + a + 1/4*a**4 - 2. Factor m(c).
(c + 1)**3
Let b = -19 + 22. Factor 3*a + 10*a**3 - 13*a**b - 2 + a**4 + a**2 + 0.
(a - 2)*(a - 1)**2*(a + 1)
Let g(p) be the second derivative of p**7/10080 - p**6/240 + 3*p**5/40 - p**4/12 - 19*p. Let i(j) be the third derivative of g(j). Factor i(h).
(h - 6)**2/4
Let w(n) be the first derivative of 2*n**4/5 + 2*n**3/3 + n**2/5 + 51. Find o such that w(o) = 0.
-1, -1/4, 0
Factor -1/4*w**2 - w + 1/4*w**3 + 1.
(w - 2)*(w - 1)*(w + 2)/4
Let g = -2 - -4. Suppose 0 = -3*q - q + 5*w + 5, 2*w = 4*q - g. Factor q*b**2 - 2*b**2 + 0*b**2.
-2*b**2
Let w be 6/(-4)*(4/(-374))/(-1). Let i = w - -1517/1309. Determine q so that -4/7*q**2 + 4/7 + 0*q**4 - 2/7*q**5 - 6/7*q + i*q**3 = 0.
-2, -1, 1
Let c(h) be the second derivative of 5*h**4/6 + 143*h**3/3 - 58*h**2 + 15*h + 3. Let c(v) = 0. Calculate v.
-29, 2/5
Factor -1/2*u + 3/4 - 1/4*u**2.
-(u - 1)*(u + 3)/4
Let -33/2*m - 1/2*m**2 + 17 = 0. What is m?
-34, 1
Let j(x) = x**3 + x**2 + x + 2. Let n(l) = -12*l**3 - 54*l**2 + 250*l - 604. Let y(u) = 14*j(u) + n(u). Solve y(q) = 0 for q.
6, 8
Let u = -1/42 + 23/84. Determine s so that 0 + u*s - 1/4*s**2 = 0.
0, 1
Let s = 2071/5 - 410. Let c = s + -142/35. Suppose 0 - 2/7*b + c*b**2 = 0. What is b?
0, 2
Let s be ((-1)/2)/(4/(-16)). Factor -89*d**s + 3*d**3 + 77*d**2 + 13*d - d.
3*d*(d - 2)**2
Let y(o) be the third derivative of o**6/120 + o**5/60 - o**3/6 - 3*o**2 + 7. Let i(r) = 8*r**3 + 23*r**2 + 25*r + 7. Let w(d) = i(d) - 3*y(d). Factor w(v).
5*(v + 1)**2*(v + 2)
Let g(l) be the second derivative of l**4/60 + 176*l**3/15 + 15488*l**2/5 - 54*l + 1. Factor g(c).
(c + 176)**2/5
Let o(g) = -2*g**3 + 9*g**2 - 3*g - 20. Let a(v) = 2*v**3 - 8*v**2 + 2*v + 20. Let f(x) = -3*a(x) - 4*o(x). Let f(n) = 0. What is n?
-1, 2, 5
Let l(n) be the second derivative of -n**5/90 - 19*n**4/54 - 35*n**3/27 - 17*n**2/9 + 196*n. Factor l(z).
-2*(z + 1)**2*(z + 17)/9
Let x(u) = -507*u + 8621. Let w be x(17). Factor 24/5*b**3 + 0*b + 0 + 72/5*b**w + 2/5*b**4.
2*b**2*(b + 6)**2/5
Let k = 50838 + -5947993/117. Let s = -3/13 + k. Factor 2/3*j + s*j**2 + 0.
2*j*(j + 3)/9
Let f = -2 - -4. Let h(t) = 5*t**2 - t**3 + 5*t**f - 14*t**2. Let a(m) = -m**2. Let g(n) = 2*a(n) - h(n). Suppose g(s) = 0. What is s?
-2, 0
Factor -18*z - 26*z**2 + 8 - 4*z**3 + 9 + 14*z**3 - 2 + 3.
2*(z - 3)*(z + 1)*(5*z - 3)
Suppose 0 = -3*l + l + 4. Suppose v = l*v - 2. Factor 2*h + 0*h + 0*h**3 + 2*h**2 - 2*h**3 + 0*h - v.
-2*(h - 1)**2*(h + 1)
Let -36/5*h**3 + 8 + 20*h**2 - 108/5*h + 4/5*h**4 = 0. What is h?
1, 2, 5
Let c(r) be the first derivative of r**6/200 + r**5/20 + 3*r**4/40 - 9*r**3/10 + 6*r**2 - 11. Let k(q) be the second derivative of c(q). Factor k(i).
3*(i - 1)*(i + 3)**2/5
Let b be (2 + -2)/((-45)/(585/(-26))). Factor b + 3/2*v**3 - 1/2*v**2 + 0*v + 2*v**4.
v**2*(v + 1)*(4*v - 1)/2
Factor 64/9*k + 2/9*k**2 + 62/9.
2*(k + 1)*(k + 31)/9
Let q = -802 - -26470/33. Let m(n) be the second derivative of 0*n**4 + 7/110*n**5 + 1/55*n**6 + 0 - 6*n - q*n**3 + 0*n**2. Suppose m(f) = 0. Calculate f.
-2, -1, 0, 2/3
Let h(m) be the second derivative of -m**6/120 - m**5/20 + 3*m**4/8 - 5*m**3/6 + 7*m**2/8 - 235*m. Let h(z) = 0. What is z?
-7, 1
Let u = -58 - -60. Factor -2*i**2 + 0*i**2 - 6*i**2 + 7*i**u.
-i**2
Let v(k) be the second derivative of -k**8/6720 - k**7/2520 + k**6/720 + k**5/120 - 7*k**4/12 + 19*k. Let i(t) be the third derivative of v(t). Factor i(n).
-(n - 1)*(n + 1)**2
Let v be (20/(-7) + 3)*2. Suppose 0 = -35*d + 30*d + 4*c + 12, -4*d - 9 = 3*c. Let 0 + v*a**3 - 2/7*a**2 + d*a = 0. What is a?
0, 1
Let x = -136/23 + 2630/437. Find v, given that x*v**5 + 0 + 0*v + 16/19*v**2 - 8/19*v**3 - 4/19*v**4 = 0.
-2, 0, 2
Suppose -80/3*k**2 + 85/3*k**3 + 0*k + 0 - 5/3*k**4 = 0. What is k?
0, 1, 16
Let j = 8023 - 8019. Determine c, given that 2/3*c**3 - c**2 + 2/3*c - 1/6 - 1/6*c**j = 0.
1
Let u = -172 + 174. Let k(y) be the third derivative of y**3 + 5/8*y**4 + 1/5*y**5 + 0*y + 1/40*y**6 + 4*y**u + 0. Factor k(f).
3*(f + 1)**2*(f + 2)
Let o be (9 - 16)/(1/3). Let h = o - -23. Factor -10*s**h + 19*s**2 + 2*s - 2*s**3 - 13*s**2 + 4.
-2*(s - 1)*(s + 1)*(s + 2)
Let o(a) = -3*a**3 - 11*a**2 + 3*a - 2. Let y be o(-4). Let j(w) be the first derivative of 10 + 0*w**y + 4/3*w**3 - 4*w. Factor j(s).
4*(s - 1)*(s + 1)
Find t, given that -272*t**2 + 8*t**4 - 256*t**3 - 67*t**4 - 66*t**5 + 7*t**4 + 70*t**5 = 0.
-2, 0, 17
Determine q, given that 8/3*q**2 + 4/3*q + 5/3*q**3 + 1/3*q**4 + 0 = 0.
-2, -1, 0
Suppose 335*a = 387*a - 104. Factor -2/17*o**a - 18/17 - 12/17*o.
-2*(o + 3)**2/17
Let d(f) be the second derivative of -1/10*f**5 + 1/6*f**3 + 11*f + 0*f**6 + 0 + 0*f**4 + 1/42*f**7 + 0*f**2. Suppose d(o) = 0. Calculate o.
-1, 0, 1
Let p be 3*2/9*3. Let -12/7 + 3/7*q**p + 0*q = 0. Calculate q.
-2, 2
Let i(q) be the first derivative of 8/25*q**5 - 8/15*q**3 + 8 + 0*q - 2/15*q**6 + 1/5*q**4 + 0*q**2. Find a, given that i(a) = 0.
-1, 0, 1, 2
Suppose 4*m = h - 13, 0*m - 10 = 5*m. Factor -16*c**3 + 6*c**5 + 0*c + 0*c - 12*c**h - 8*c**2 + 22*c**4.
-2*c**2*(c - 2)**2*(3*c + 1)
Let q(g) = -g + 10. Let z be q(0). Let t be (-301)/(-5) - 2/z. Factor y - t + 60 - y**2.
-y*(y - 1)
Let x(g) = 2*g**2 + 103*g + 183. Let f(i) = -6*i**2 - 312*i - 550. Let r(v) = 3*f(v) + 10*x(v). Find l, given that r(l) = 0.
-45, -2
Let v(b) = -b**3 + 14*b**2 - 12*b - 10. Let j be v(13). Let c be (8/(-6))/((-2)/j). What is q in 1 - 1 - q**c - q**2 = 0?
0
What is i in -2*i**5 - 2*i**5 + 15*i**4 + 42*i**3 - 3*i**2 - 24*i + 37*i**2 - 2*i**2 - 33*i**4 = 0?
-6, -1, 0, 1/2, 2
Let h(d) = d**2 + 3*d - 7. Let u be h(-5). Let c be 0 + u*1/1. Find y, given that -6*y**c + 6*y + y**5 - 3*y + 2*y**5 = 0.
-1, 0, 1
Let o(t) be the first derivative of -2*t**5/5 + 2*t**4 - 4*t**3/3 - 4*t**2 + 6*t - 490. Factor o(j).
-2*(j - 3)*(j - 1)**2*(j + 1)
Let z(n) be the third derivative of n**7/1575 + 2*n**6/225 + 8*n**5/225 + 7*n**2 - 41. Find h such that z(h) = 0.
-4, 0
Factor 1/5*o**5 - 8/5*o - 18/5*o**2 + 0 - 11/5*o**3 + 0*o**4.
o*(o - 4)*(o + 1)**2*(o + 2)/5
Let v(h) be the first derivative of 2*h**3/9 + 10*h**2 + 105. Factor v(w).
2*w*(w + 30)/3
Let g be (8/70)/((-58)/4669*-23). Factor 0 + 0*f + 4/5*f**2