o/10) + 10). Factor 0*l + 9/4*l**4 - 3/2*l**2 + 0 - j*l**3.
3*l**2*(l - 1)*(3*l + 2)/4
Solve 12*y**5 + 416/7*y**4 - 24/7 + 184/7*y**2 - 68/7*y + 80*y**3 = 0.
-3, -1, -2/7, 1/3
Let b(l) be the second derivative of l**4/114 - l**3/57 - 105*l. Determine x so that b(x) = 0.
0, 1
Let b(v) be the second derivative of -4/11*v**2 - 23*v - 1/22*v**4 + 0 + 7/33*v**3. Solve b(s) = 0 for s.
1, 4/3
Let s = -57 - -94. Factor -5*d + 35 + 29 + s*d + 4*d**2.
4*(d + 4)**2
Let s(y) = 5*y**2 + 469*y + 6. Let g(z) = -10*z**2 - 941*z - 14. Let x(j) = -3*g(j) - 7*s(j). Let x(n) = 0. Calculate n.
-92, 0
Let z(b) be the second derivative of 1/2*b**5 - 25/6*b**4 + 25/2*b**2 + 3 + 3*b - 5/42*b**7 + 5/6*b**6 - 5/6*b**3. Suppose z(o) = 0. Calculate o.
-1, 1, 5
Factor 120*u - 2*u**4 - u**3 + 7*u**3 + 30 + 27 - 30*u**2 + 94*u**2 + 7.
-2*(u - 8)*(u + 1)*(u + 2)**2
Let l(k) be the first derivative of -k**4/24 + 10*k**3/9 + 49*k**2/4 + 39*k - 332. Let l(d) = 0. What is d?
-3, 26
Suppose 2*v + 4*k + 8 = 0, -k = 7 - 4. Suppose -v*q + 25 = 5*m, 0 = -5*q + 3*q. Find x, given that m*x**2 - x**3 + 6 - 2*x**2 - 6 = 0.
0, 3
Let a(x) = -11*x**4 + 37*x**3 - 6*x**2 - 12*x. Let y(p) = -21*p**4 + 75*p**3 - 12*p**2 - 27*p. Let t(i) = -9*a(i) + 4*y(i). Factor t(r).
3*r**2*(r - 2)*(5*r - 1)
Suppose 0 = -4*d - 9 + 17. Let n(b) = b**3 - 4*b + 2. Let f be n(d). Find p, given that -3/2 - 3/4*p**3 - 3*p**f - 15/4*p = 0.
-2, -1
Suppose -636 = -5*a - 621. Let j(y) be the first derivative of -1/6*y**4 - 4 - 10/9*y**a + 2/15*y**5 + 0*y - y**2. Factor j(w).
2*w*(w - 3)*(w + 1)**2/3
Let x(a) be the third derivative of -a**6/60 + a**4/4 + 2*a**3/3 - 45*a**2 + 1. Find t, given that x(t) = 0.
-1, 2
Let l = 12338/3 + -4108. Suppose -8/3*y**3 + 0 - l*y**2 - 2*y = 0. What is y?
-1, -3/4, 0
Let q(w) be the third derivative of 0 + 0*w**3 + 0*w - 1/336*w**8 + 0*w**5 - 1/30*w**6 - 2/105*w**7 + 0*w**4 + 37*w**2. Factor q(r).
-r**3*(r + 2)**2
Let h(s) = 11*s**3 - 104*s**2 + 367*s - 102. Let x(t) = -t**3 + t**2 + t + 1. Let i(p) = h(p) + 4*x(p). Factor i(b).
(b - 7)**2*(7*b - 2)
Suppose f = -2*s + 14, 0*s + 3*s + 19 = f. Suppose m + f = 5*m. Factor 96*n + m*n**2 - 96*n - 16.
4*(n - 2)*(n + 2)
Let n(v) = -2*v - 15. Let j be n(-9). Factor 22*t + 35*t**j - 14 - 16 + 80*t**2 - 97*t - 10*t.
5*(t - 1)*(t + 3)*(7*t + 2)
Let p = -25 - -27. What is l in 2*l**3 + 8 - 3*l**3 - 28 - 25*l**p - 40*l - 4*l**3 = 0?
-2, -1
Let l(u) = -u**3 - 5*u**2 - 8*u - 11. Let o be l(-4). Suppose o*c - 25 = -4*b, 2*b - 8 - 7 = -3*c. Factor -1/4*f**5 + b - 1/4*f**4 + 0*f + 1/4*f**2 + 1/4*f**3.
-f**2*(f - 1)*(f + 1)**2/4
Let s be 69/15 - (-12)/30. Let f(r) = -r**2 - 6*r - 5. Let d(o) = 3*o**2 + 15*o + 12. Let y(u) = s*d(u) + 12*f(u). Let y(a) = 0. Calculate a.
-1, 0
Determine r, given that 2/9*r**3 + 1/9*r**4 - 1/3*r**2 + 0 + 0*r = 0.
-3, 0, 1
Let h = 1 + 0. Let n(r) = -9*r + 65. Let p be n(7). Factor -6*y + h - y**p + 2 - 8*y**2.
-3*(y + 1)*(3*y - 1)
Let f be (34/(-8))/17 + (-7)/4. Let m be (1 - f)*-5*(-10)/50. Let 1/2*v**4 + 1/2*v + 3/2*v**m + 0 + 3/2*v**2 = 0. What is v?
-1, 0
Suppose 2002/9*o**3 - 7430/9*o**2 - 2 + 3920/9*o**4 + 800/9*o**5 + 242/3*o = 0. Calculate o.
-3, 1/20, 1
Let n(l) be the second derivative of -l**4/18 - 10*l**3/3 + 64*l**2/3 - 5*l - 30. Let n(w) = 0. What is w?
-32, 2
Suppose -13*c + 2361 = -1734. Let k = c - 312. Factor 0*m - 3/2*m**k + 0 + 3/4*m**2 + 3/4*m**4.
3*m**2*(m - 1)**2/4
Let a be 1*5 + -37 + 40. Suppose 0 = a*q - 16. Factor -6/7*z - 3/7*z**q - 3/7.
-3*(z + 1)**2/7
Let b(r) be the third derivative of r**8/2016 + r**7/210 + r**6/72 - 11*r**4/144 - r**3/6 - 854*r**2. Find f, given that b(f) = 0.
-3, -2, -1, 1
What is z in 1/3*z**2 + 2 - 5/3*z = 0?
2, 3
Let u(l) = -l**3 - 4*l**2 + 58*l - 14. Let o be u(-10). Let p(m) = m**2 - 7*m + 6. Let r be p(6). Factor r*y**2 + y**4 - o*y**3 + 2*y**4 + 3*y**2.
3*y**2*(y - 1)**2
Let g = -22 - -46. Let 55 + g*q**2 + 96*q + 72 + 1 + 2*q**3 = 0. What is q?
-4
Let g = 176/17 + -494/51. Let 0*d + 0 + g*d**2 - 2/3*d**3 = 0. What is d?
0, 1
Let c(k) be the third derivative of -k**5/690 + 11*k**4/138 - 7*k**3/23 + 665*k**2. Suppose c(q) = 0. Calculate q.
1, 21
Let f(t) be the second derivative of t**5/20 + t**4/8 - 3*t**3 - 6*t**2 + 13*t. Let r(o) be the first derivative of f(o). Find v such that r(v) = 0.
-3, 2
Let d be ((-21)/60)/((-44)/22). Let f(m) be the third derivative of d*m**6 + 0*m + 1/4*m**4 + 0 + 0*m**3 - 5*m**2 - 9/20*m**5. Suppose f(h) = 0. Calculate h.
0, 2/7, 1
Suppose 0 = 335*z - 357*z. Determine k, given that 0 - 2/13*k**4 + z*k - 2/13*k**3 + 4/13*k**2 = 0.
-2, 0, 1
Let p be 0 - 2 - 60/(-25). Let g(x) be the first derivative of -1/5*x**4 - 3 - 1/5*x**2 + p*x**3 + 0*x. Factor g(t).
-2*t*(t - 1)*(2*t - 1)/5
Suppose 5*t = -g - 95, -3*t - t - 76 = 5*g. Let m(y) = -y**3 - 18*y**2 + 18*y - 16. Let v be m(t). Factor -4/3 + 10/3*f**v + 4/3*f**2 - 10/3*f.
2*(f - 1)*(f + 1)*(5*f + 2)/3
Let u(d) be the third derivative of d**8/336 - d**7/210 - 3*d**6/40 + 13*d**5/60 + d**4/3 - 2*d**3 - 293*d**2. Let u(v) = 0. What is v?
-3, -1, 1, 2
Let g(y) be the second derivative of 5*y**7/42 - 3*y**5/4 - 5*y**4/6 + 4*y + 5. Factor g(l).
5*l**2*(l - 2)*(l + 1)**2
Let j(w) be the second derivative of 2*w**7/7 - 4*w**6/15 - 8*w**5/5 + 2*w**4 + 10*w**3/3 - 8*w**2 - 34*w + 1. Find o, given that j(o) = 0.
-4/3, -1, 1
Let f(p) be the third derivative of p**9/10080 + p**8/2688 + p**7/3360 + 11*p**5/60 - 17*p**2. Let m(i) be the third derivative of f(i). Factor m(w).
3*w*(w + 1)*(4*w + 1)/2
Let y(n) be the second derivative of -n**6/1440 + n**5/30 - 2*n**4/3 + 4*n**3 + 3*n. Let i(c) be the second derivative of y(c). Let i(s) = 0. What is s?
8
Let f(s) = 4*s**2 + 3*s**2 + 4*s - 5*s**2. Let l(y) = -10. Let b(r) = -3. Let a(j) = -7*b(j) + 2*l(j). Let m(q) = 6*a(q) - f(q). Factor m(o).
-2*(o - 1)*(o + 3)
Let l(z) be the first derivative of -2*z**3/27 + 2*z**2/9 + 16*z/3 - 43. Determine o so that l(o) = 0.
-4, 6
Factor 64599699 - 59*d**3 - 7339633*d - 181656*d**2 - 3196415*d - 221142946 - 4*d**4 - 72615797 - 1333*d**3.
-4*(d + 87)**4
Let u = -166 - -41. Let y = -499/4 - u. Solve -y*z**2 + 0 + 1/2*z = 0.
0, 2
Let s = 66 - 61. What is w in -113*w**3 + 3*w**s + w**4 - 2*w**5 - 3*w**5 + 119*w**3 = 0?
-3/2, 0, 2
Factor -1/8*d**2 - 7/8*d**3 - 1/8*d**4 - 9/4 + 27/8*d.
-(d - 1)**2*(d + 3)*(d + 6)/8
Let i(b) be the first derivative of -26 - 8/11*b**2 - 8/11*b - 10/33*b**3 - 1/22*b**4. Factor i(k).
-2*(k + 1)*(k + 2)**2/11
Let c(x) be the second derivative of -x**6/15 + x**5/5 - 2*x**3/3 + x**2 - 78*x. Let c(s) = 0. What is s?
-1, 1
Let z(o) = -2*o**5 - o**2. Let g(j) = 5*j**5 + 10*j**4 + 25*j**3 - 45*j**2 - 20*j + 40. Let b(v) = g(v) + 5*z(v). Let b(x) = 0. Calculate x.
-2, -1, 1, 2
Let i be 180/(-40)*(-24)/21. Determine v, given that -4/7*v**2 - 24/7*v - i = 0.
-3
Let q(b) be the first derivative of -3*b**4/4 + 13*b**3 - 105*b**2/2 - 147*b + 186. Let q(s) = 0. Calculate s.
-1, 7
Let b(f) be the second derivative of -1/48*f**4 + 1/8*f**2 + 6*f + 0 + 0*f**3. Find c such that b(c) = 0.
-1, 1
Let c(j) be the third derivative of -j**5/20 - j**4/2 + 16*j**3 + 670*j**2. Factor c(v).
-3*(v - 4)*(v + 8)
Let s(w) be the second derivative of -w**7/504 + w**5/24 - 7*w**4/12 - 34*w. Let c(z) be the third derivative of s(z). Determine m, given that c(m) = 0.
-1, 1
Let a(p) be the second derivative of -3*p**3/2 - 3*p**2 + 15*p. Let r be a(-1). Factor -3/7*q**r + 0 + 0*q - 12/7*q**4 + 0*q**2.
-3*q**3*(4*q + 1)/7
Let l(a) = 55*a**4 + 65*a**3 + 10*a**2 - 65. Let v(y) = 5*y**4 + 6*y**3 + y**2 - 6. Suppose i = -0*i - 6. Let p(g) = i*l(g) + 65*v(g). Factor p(k).
-5*k**2*(k - 1)*(k + 1)
Let r(h) be the second derivative of -1/35*h**5 - 30*h + 0 - 6/7*h**3 - 2/7*h**4 - 8/7*h**2. Solve r(y) = 0.
-4, -1
Suppose -4*r**2 - 143*r + 3*r**2 - 4096 + 0*r**2 + 15*r = 0. Calculate r.
-64
Let h(g) be the third derivative of g**6/40 - 7*g**5/20 - 8*g**2 + 2. Determine v so that h(v) = 0.
0, 7
Let c be ((-126)/(-28))/((-2)/(-4)). Let 53*q - 23*q + 3*q**2 + c - 18*q = 0. What is q?
-3, -1
Let v be -11 + 8 + (-2897)/(-15). Let l = v - 190. Factor -l*n**2 - 8/15*n - 2/5.
-2*(n + 1)*(n + 3)/15
Let u(k) = 5*k + 16. Let o be u(-5). Let i be o*(-16)/60 - 2. Let i + 4/5*b + 2/5*b**2 = 0. What is b?
-1
Let u(p) = p**2 - 3*p + 5. Let g be u(-4). Let h =