 18*p**2 + 118*p + 10. Let f(s) = -8*d(s) + 5*g(s). Factor f(i).
-4*i*(i + 16)
Let q(l) be the first derivative of l**4 - 44*l**3/3 + 20*l**2 - 322. Suppose q(d) = 0. What is d?
0, 1, 10
Let l be 0*(-6 - (-46)/8). Factor 1/6*n**3 + l*n + 1/6*n**4 - 1/3*n**2 + 0.
n**2*(n - 1)*(n + 2)/6
Find w such that 72/5 + 1/10*w**4 - 4/5*w**2 - 48/5*w + 4/5*w**3 = 0.
-6, 2
Let j(y) be the first derivative of -y**3/3 + 6*y**2 + 2*y - 3. Let k be j(12). Factor o**5 + 25*o**k + 4*o**4 - 5*o**4 - 24*o**2 - o**3.
o**2*(o - 1)**2*(o + 1)
Let i = -83 + 55. Let m = 30 + i. Find g, given that g**2 - 2*g**2 + g**2 - 3*g**m = 0.
0
Suppose 0 = -4*h - o + 17, -4*h - 8 = -6*o + 2*o. Suppose -8*d + 5*d = -300. Factor -36 + 3*b + 6*b**3 + 165*b - d*b**2 + 10*b**h.
4*(b - 3)**2*(4*b - 1)
Let t(s) be the second derivative of -s**5/20 + s**4/4 - s**3/2 + s**2/2 - 8*s - 2. Factor t(r).
-(r - 1)**3
Let j(p) be the third derivative of -p**5/120 + p**4/48 + p**3/6 - 212*p**2. Determine u, given that j(u) = 0.
-1, 2
Let i(b) be the third derivative of 16*b**5/75 + b**4/6 - b**3/5 + 4*b**2 + 19. Factor i(v).
2*(2*v + 1)*(16*v - 3)/5
Let z be -3 + (3 + -6)/3. Let p = z - -6. Let -4*d + 9*d**p - d**2 - 14*d**3 + 10*d**3 = 0. What is d?
0, 1
Suppose -3*r + 4*a - 8 = 0, -3*r + 0*a + 2*a + 2 = 0. Suppose r*w = -3*m + 23, 3 = 3*w - m + 2. Factor -16*o**3 + 10*o**3 - w*o**5 + 5*o**5 + 3*o.
3*o*(o - 1)**2*(o + 1)**2
Let b(r) = -10*r + 57. Let i(u) = 5*u - 29. Let g(o) = -2*b(o) - 5*i(o). Let l be g(6). Solve 1/2*a - l + 1/2*a**2 = 0.
-2, 1
Suppose 6 = v + 2. Suppose -10 = 2*u - v*u. Suppose z + z + 0*z**2 + 2*z**3 + z**2 - u*z**2 = 0. What is z?
0, 1
Suppose -10*d + 104 - 84 = 0. Let b be -2 - (10/d + (-42)/4). Factor -1/2*n + 0 - b*n**4 - n**5 - 9/2*n**3 - 5/2*n**2.
-n*(n + 1)**3*(2*n + 1)/2
Let u = -7220 + 7222. Factor -12/5 + 2/5*a**3 - 16/5*a**u + 26/5*a.
2*(a - 6)*(a - 1)**2/5
Factor 1 + 6/5*r + 1/5*r**2.
(r + 1)*(r + 5)/5
Let x(n) = -n - 2. Let o be x(-7). Let q be (-10)/(-3)*6/o. Factor 1/7*y**3 + 1/7*y**q - 1/7*y**2 - 1/7*y + 0.
y*(y - 1)*(y + 1)**2/7
Let a = -22/7 - -37/14. Let p = a + 11/6. Factor p - 2*d + 2/3*d**3 + 0*d**2.
2*(d - 1)**2*(d + 2)/3
Let m(i) be the second derivative of -3*i**5/70 - 31*i**4/7 - 961*i**3/7 + 20*i + 2. Factor m(s).
-6*s*(s + 31)**2/7
Let u = -109 - -114. Let q(l) be the third derivative of 0 + 0*l**3 + 0*l + 1/150*l**u + 1/300*l**6 + 5*l**2 + 0*l**4. Factor q(h).
2*h**2*(h + 1)/5
Let u be (-669)/(-1561) - 57/6*(-8)/84. Solve 0*z + u*z**2 - 12 = 0.
-3, 3
Let u(s) be the third derivative of -s**6/40 - 4*s**5/5 - s**2 - 30. Factor u(a).
-3*a**2*(a + 16)
Let l(d) be the third derivative of -8*d**7/105 + d**6/6 + 7*d**5/3 - 15*d**4/2 + 6*d**3 - 60*d**2. Find w, given that l(w) = 0.
-3, 1/4, 1, 3
Let h be 100/850 - 6/(-238). Let f(c) be the first derivative of 2/21*c**3 + 0*c + h*c**2 + 4. Determine w, given that f(w) = 0.
-1, 0
Suppose -5*g + 2*j + 2 = -56, 2*j = -3*g + 38. What is o in -11*o**4 + 13*o**4 + 32*o**2 - g*o - 46*o**2 = 0?
-2, -1, 0, 3
Let t(x) be the third derivative of 0*x**5 - 1/240*x**6 + 25*x**2 + 0*x**3 + 0 + 0*x**4 - 1/210*x**7 + 0*x - 1/672*x**8. Suppose t(m) = 0. Calculate m.
-1, 0
Let j(l) = -12*l**2 + 88*l - 308. Let i(s) = -11*s**2 + 87*s - 307. Let y(q) = -8*i(q) + 7*j(q). Determine a, given that y(a) = 0.
5, 15
Suppose 7 + 29 = 3*q. Let d = 14 - q. Suppose 10 - 9 + 2*k - 3*k**2 + 4*k**d = 0. What is k?
-1
Let -128/7 - 1/7*d**3 - 96/7*d - 18/7*d**2 = 0. Calculate d.
-8, -2
Let v(u) = 10*u**2 - 96*u - 90. Let w(p) = 2*p**2 - 2*p. Let d(g) = v(g) - 4*w(g). Factor d(x).
2*(x - 45)*(x + 1)
Let r be ((-3)/2)/(7/((-49)/21)). Solve 3/2*f - r*f**2 + 5 = 0.
-2, 5
Let 0 - 2/9*v**2 - 196/9*v = 0. What is v?
-98, 0
Let r be (10/30)/(3/108). Factor 3*u**3 + 4*u**3 - r*u - u**3 + 11*u**2 - 16 + 11*u**2.
2*(u - 1)*(u + 4)*(3*u + 2)
Let l(u) be the third derivative of u**5/20 + 67*u**4/8 - u**2 + 94. Factor l(s).
3*s*(s + 67)
Let g be (-7 + 3 + 4)/(5/5*-1). Determine j so that 6*j - 3/2*j**3 + g + 0*j**2 = 0.
-2, 0, 2
Let x(i) be the second derivative of -i**5/10 - i**4/6 + 10*i**3/3 - 8*i**2 + 2*i + 1. Factor x(k).
-2*(k - 2)*(k - 1)*(k + 4)
Let g = 1995 + -9967/5. Let o(b) be the first derivative of 11 + 2/15*b**3 - g*b - 4/5*b**2 + 1/10*b**4. Suppose o(x) = 0. What is x?
-2, -1, 2
Let z = 6 - 27. Let p = -18 - z. Factor 3*g**4 - 9*g**3 + 3*g**3 + 3*g**p.
3*g**3*(g - 1)
Let g(t) = 8*t**2 - 547*t - 40903. Let b(o) = 3*o**2 - 276*o - 20451. Let n(x) = 10*b(x) - 4*g(x). Find w, given that n(w) = 0.
-143
Factor 7626*b + 0*b**2 - b**2 - 6555*b + 267 + 13*b**2.
3*(b + 89)*(4*b + 1)
Let x(f) = f + 1. Let r be x(1). Suppose -559 + 457 = -6*n. Determine k so that 35 + k + 3*k**r + n*k - 8 = 0.
-3
Let l(g) be the second derivative of -16*g - g**4 - 1/15*g**6 + 0 + 4/3*g**3 - g**2 + 2/5*g**5. Let l(c) = 0. What is c?
1
Suppose -2 = -0*o - 2*o. Let f be 3 - (-3 + o - -1). Factor 6*n + 4*n**2 - f*n - 6*n - n**3.
-n*(n - 2)**2
Let l = 86 + -947/11. Let j = l - -3/11. Suppose 6/11*m + j*m**2 + 4/11 = 0. What is m?
-2, -1
Let w be 1 - (-7 - (-348)/44). Let b(l) be the third derivative of 0 + w*l**4 + 7*l**2 + 0*l + 4/33*l**3 + 1/66*l**5. Factor b(i).
2*(i + 2)*(5*i + 2)/11
Suppose 4*q - 12 = 2*j, 5*j + 3 = 2*q + 5. Let s be (-3)/(-12)*(5 + (-162)/42). Solve -6/7*y**j + 4/7 + s*y = 0.
-2/3, 1
Let q = 20276 - 1013767/50. Let r = -4/25 + q. Factor 1/2*c**2 - c + r.
(c - 1)**2/2
Let h be 3 + (2 - 6 - 0). Let q be (-1 + 2 + -3)*h. Determine w, given that -6*w**q - 2 + 0*w**3 + 6*w - 3*w**3 + 5*w**3 + 0*w = 0.
1
Let s be -2*(12/1 - 10 - 25/12). Let s*r**2 + 1/3 - 1/2*r = 0. Calculate r.
1, 2
Let g(x) be the second derivative of -1/120*x**6 - 46*x + 1/8*x**3 - 3/80*x**5 + 5/48*x**4 + 0 - 1/2*x**2. Factor g(d).
-(d - 1)**2*(d + 1)*(d + 4)/4
Let h = 0 - -64. Let n be (h/(-20))/(4/(-20)). Factor -15*k**3 - 17*k**3 - 52*k**2 + 8*k**3 - 4*k**4 - 48*k - n.
-4*(k + 1)**2*(k + 2)**2
Let v be 0/((18/14)/(33/77)). Let v*o + 1/4*o**2 - 1 = 0. Calculate o.
-2, 2
Let r(b) be the second derivative of -1/5*b**6 + 5*b**4 + 9*b**2 + 0 + 19/2*b**3 + 9/10*b**5 - 1/14*b**7 + 8*b. Let r(k) = 0. Calculate k.
-2, -1, 3
Let f(z) = -5*z - 172. Let u be f(-35). Factor -g**2 + 0 - 5/2*g**u + 0*g.
-g**2*(5*g + 2)/2
Let a(r) be the third derivative of 2*r**7/105 - r**6/15 - r**5/15 + r**4/3 + 94*r**2. Determine g so that a(g) = 0.
-1, 0, 1, 2
Let t(q) = -q**3 + q. Let m(i) = 15*i**3 + 6*i**2 - 6*i - 24. Let w(v) = -m(v) - 18*t(v). Suppose w(d) = 0. What is d?
-2, 2
Determine k so that 72 + 144*k + 10/3*k**3 + 42*k**2 = 0.
-6, -3/5
Let p(y) = -200*y + 203. Let a be p(1). Factor -6/11*k + 2/11*k**5 - 12/11*k**a + 0 - 16/11*k**2 + 0*k**4.
2*k*(k - 3)*(k + 1)**3/11
Suppose -5*v - 14 - 16 = 0. Let m be (42/(-35))/(v/80). Factor 2 + m*i - 2*i**2 - 16*i.
-2*(i - 1)*(i + 1)
Factor 0*i - 2/7*i**2 + 8/21 + 2/21*i**3.
2*(i - 2)**2*(i + 1)/21
Let f(l) be the second derivative of -l**4/114 + 7*l**3/57 + 36*l + 1. Find u, given that f(u) = 0.
0, 7
Let x(z) be the second derivative of -z**4/12 + 19*z**3/6 + 10*z**2 - 95*z. Factor x(l).
-(l - 20)*(l + 1)
Let z(r) = -17*r**5 - 15*r**4 + 9*r**3 + 14*r**2. Let a(b) = -b**5 - b**4 - b**3 + 2*b**2. Let i(x) = 18*a(x) - 2*z(x). Find t such that i(t) = 0.
-2, 0, 1/4, 1
Let u(s) be the first derivative of 0*s + 0*s**2 + 0*s**3 + 2/15*s**5 + 1/6*s**4 + 17. Factor u(w).
2*w**3*(w + 1)/3
Let m(r) be the second derivative of -2*r**7/21 - 28*r**6/15 - 46*r**5/5 + 40*r**4/3 + 238*r**3/3 - 196*r**2 - 6*r + 10. Suppose m(a) = 0. Calculate a.
-7, -2, 1
Factor -12/7*t**2 + 60/7 - 52/7*t + 4/7*t**3.
4*(t - 5)*(t - 1)*(t + 3)/7
Let t be (4*(-8)/(-38))/2. Let a = 35/38 - t. Solve -1/4*y**4 - 1/4*y**2 - 3/4*y**3 + 3/4*y + a = 0 for y.
-2, -1, 1
Let i = 31 + 419. Let z be (i/(-8))/(-9) - 4. Let 0*q - 3/4*q**4 - z*q**3 - 3/2*q**2 + 0 = 0. What is q?
-2, -1, 0
Let r(w) be the third derivative of w**10/90720 + w**9/7560 + w**8/1680 + w**7/945 - w**4/12 - 15*w**2. Let l(h) be the second derivative of r(h). Factor l(b).
b**2*(b + 2)**3/3
Let a(x) = 71 - 13*x**3 - 91*x**2 - 16*x**3 + 31*x**2. Let d(u) = -7*u**3 - 15*u**2 + 18. Let o(i) = -2*a(i) + 9*d(i). Find k such that o(k) = 0.
-2, 1
Let m(s) be the first derivative of -1/24*s**4 + 0*s**2 - 1/24*s**3 - 1/80*s**5 - 9 - 8*s. Let z(