 + 118. Factor u(d).
-5*(d - 1)*(d + 1)*(d + 3)
Let b be (-68)/(-18) + -4 + (-536)/18. Let t = -27 - b. Determine m, given that 0*m - 2/3*m**t + 0 - 2/3*m**2 = 0.
-1, 0
Let g be (-31)/2976*18*4*(0 + -1). Suppose -g*p + 1/2 - 1/2*p**2 + 0*p**4 - 1/4*p**5 + p**3 = 0. Calculate p.
-2, -1, 1
Let g(k) be the third derivative of 1/3*k**4 - 11*k + 0 - 4/5*k**3 - 1/50*k**5 + 2*k**2. What is c in g(c) = 0?
2/3, 6
Let i = 32 - 28. Factor -8*m**2 - 20 - 31 + 55 + 4*m**i.
4*(m - 1)**2*(m + 1)**2
Let x(v) be the first derivative of 0*v + 1/6*v**4 + 1 + 0*v**3 + 3/5*v**5 + 27/40*v**6 - 4*v**2. Let a(d) be the second derivative of x(d). Factor a(q).
q*(9*q + 2)**2
Let z(d) be the second derivative of -d**5/80 - 65*d**4/48 + 133*d**3/24 - 67*d**2/8 + 42*d - 2. Let z(l) = 0. What is l?
-67, 1
Let b be (-36)/(-7) - 3/21. Factor 5*d**b + 24*d**3 - 4*d + 10*d**5 - 32*d**4 - 3*d**5.
4*d*(d - 1)**3*(3*d + 1)
Let y(g) = 8*g**2 - 22*g + 27. Let o(f) = -14*f**2 + 44*f - 57. Let j(v) = 3*o(v) + 5*y(v). Factor j(b).
-2*(b - 9)*(b - 2)
Let q(l) = l**3 + l**2 - 2*l. Let x(p) = 2*p**4 + 20*p**3 + 46*p**2 + 28*p. Let a(h) = -4*q(h) + x(h). Factor a(u).
2*u*(u + 2)*(u + 3)**2
Let l(p) = -3*p**2 - 8*p - 7. Let i(d) = 2*d**2 + 8*d + 6. Suppose -8*b + 4 = -6*b. Let s be b/6 - 17/(-3). Let v(g) = s*l(g) + 7*i(g). Factor v(w).
-4*w*(w - 2)
Let u be 4 - ((-10)/5 - -4). Let j(r) be the second derivative of 1/4*r**4 + 0 + 9/2*r**2 + u*r**3 - 12*r. Let j(h) = 0. What is h?
-3, -1
Suppose 5*u - q = 14, 2*q + q + 6 = -3*u. Let h be (0 + 2 + (-7 - -6))*3. Factor 7*j**4 - j**u - 4*j**2 - 5*j**h + 2 - 4*j**2 + 5*j.
(j - 1)**2*(j + 1)*(7*j + 2)
Let b(p) = -2*p - 47*p**2 - p**4 + 46*p**2 + p. Let f(x) = -14*x**4 - 4*x**3 - 8*x**2 - 9*x. Let q(d) = -18*b(d) + 2*f(d). Factor q(z).
-2*z**2*(z + 1)*(5*z - 1)
Let a = 137 + -26. Factor 160*u - 25 + 8 - 34*u**2 + 2*u**3 - a.
2*(u - 8)**2*(u - 1)
Let o(g) be the first derivative of g**4/2 + 32*g**3/3 - 17*g**2 + 1. Factor o(c).
2*c*(c - 1)*(c + 17)
Let s = 441 + -5358/7. Let c = 325 + s. Factor -c*n - 8/7 + 4/7*n**2.
4*(n - 2)*(n + 1)/7
Let c = 36 + -15. Determine g, given that -c*g + 96*g + 15*g**2 + 64 + g**3 + 61 = 0.
-5
Let g = 335 + -333. Let q(j) be the first derivative of -9/8*j**g + 1/4*j**3 + 4 + 3/2*j. Let q(t) = 0. Calculate t.
1, 2
Let h(r) = -r**4 + 37*r**3 - 24*r**2 - 134*r - 7. Let v(l) = l**4 - 25*l**3 + 16*l**2 + 90*l + 5. Let k(d) = -5*h(d) - 7*v(d). Factor k(t).
-2*t*(t - 2)*(t + 2)*(t + 5)
Suppose -4 = 4*q + 5*i - 0*i, -4*q = -4*i + 4. Let n be (72/(-162))/(q/3). Factor 0 - 2/3*k**5 + 0*k**2 - 2/3*k**3 - n*k**4 + 0*k.
-2*k**3*(k + 1)**2/3
Let f(t) be the first derivative of -16*t**6/3 + 16*t**5/5 + 15*t**4/2 - 16*t**3/3 + t**2 + 247. Determine j, given that f(j) = 0.
-1, 0, 1/4, 1
Let c(f) = -39*f - 741. Let n be c(-19). Let j(h) be the second derivative of -7*h + 0*h**3 - 1/50*h**5 + 0*h**2 + n + 0*h**4. Find o, given that j(o) = 0.
0
Factor 5/2*b + 5/4*b**3 - 15/4*b**2 + 0.
5*b*(b - 2)*(b - 1)/4
Let m(q) be the second derivative of -5/2*q**2 + 7*q - 9/16*q**5 + 0 - 1/2*q**3 - 3/4*q**4 - 5/32*q**6. Let s(u) be the first derivative of m(u). Factor s(k).
-3*(k + 1)*(5*k + 2)**2/4
Let r(o) be the first derivative of -4*o**5 + 75*o**4/4 + 20*o**3/3 - 23. Find f, given that r(f) = 0.
-1/4, 0, 4
Suppose s = 4*z + 28, -2*s + 0*s + 3*z = -46. Factor r**3 + 4*r**3 - 6*r**2 + 31*r**2 + s*r.
5*r*(r + 1)*(r + 4)
Let b(j) be the first derivative of j**5/4 - 5*j**4/2 + 10*j**3 - 20*j**2 + 37*j + 25. Let p(l) be the first derivative of b(l). Factor p(h).
5*(h - 2)**3
Suppose -7*o - 99 = -6*o. Let p = o + 101. Let -12*n**3 - 66/5*n - 92/5*n**p - 18/5*n**4 - 18/5 - 2/5*n**5 = 0. Calculate n.
-3, -1
Let m(x) = 3*x - 16. Let b be m(8). Suppose b = -o + 10. Solve -4*v**3 - 4*v + 4 + 5*v**2 - 8*v - 6*v**o + 13*v**2 = 0 for v.
1
Factor 17774 - 12484*r**4 + 249255*r**3 - 278 - 7316*r**4 + 129924*r + 318354*r**2 + 375*r**5.
3*(r - 27)**2*(5*r + 2)**3
Let x(b) be the first derivative of -b**6/1440 - b**5/160 - b**4/48 + b**3/3 + 8. Let u(k) be the third derivative of x(k). Factor u(j).
-(j + 1)*(j + 2)/4
Let c be 60/225*(-45)/(-40). Let p(y) be the third derivative of 0 - 1/12*y**6 + 0*y + 8*y**2 - 7/12*y**4 + 1/105*y**7 + c*y**5 + 2/3*y**3. Factor p(g).
2*(g - 2)*(g - 1)**3
What is m in -38*m - 4*m**2 + 37*m - 4 + 9*m = 0?
1
Suppose -3*q = -3*g + 12, 4*g - 5*q + 6*q = 11. Suppose -21*i**4 - i**3 + i**2 + 20*i**4 - 2*i**g + 3*i = 0. What is i?
-3, -1, 0, 1
Let o(j) be the first derivative of j**4/42 - 16*j**3/21 + 64*j**2/7 - 15*j - 7. Let w(i) be the first derivative of o(i). Factor w(b).
2*(b - 8)**2/7
Let x(q) be the second derivative of -1/4*q**5 - 1/6*q**6 + 0 + 0*q**2 + 2*q + 0*q**3 + 5/6*q**4. What is t in x(t) = 0?
-2, 0, 1
Let d(t) be the second derivative of -t**5/30 - 11*t**4/18 - 10*t**3/9 + 274*t. Find c such that d(c) = 0.
-10, -1, 0
Suppose 6*g + 3 = -4*h + 3*g, -h - 2*g = 7. Factor -14*q**h + 4*q + 7*q**2 + 3*q**2 + 0*q**3.
-2*q*(q - 1)*(7*q + 2)
Let h(t) = -46*t**3 - 88*t**2 - 33*t + 19. Let v(j) = 23*j**3 + 44*j**2 + 17*j - 8. Let d(k) = 2*h(k) + 5*v(k). Find s such that d(s) = 0.
-1, 2/23
Let z(f) = f**3 + 5*f**2 + 6*f + 2. Let d be z(-3). Solve -12*j + 35*j**d - 3*j**3 - 38*j - 2*j**3 + 45 - 25*j = 0 for j.
1, 3
Suppose v = -2*m + 4, 4*m - 5*m + 2*v = -2. Let -17*z**3 + 10*z + 25*z**3 - 25*z**4 + 5*z**5 + 37*z**3 - 35*z**m = 0. What is z?
0, 1, 2
Let s = 27 - 27. Let j be (s - (-1)/(-6))/(15/(-120)). Find y, given that j*y + 0 + 2/3*y**2 = 0.
-2, 0
Let w(q) = q**2 - 2*q + 1. Let v be w(3). Suppose 0 = -0*m - 2*m + v. Factor -p - 22*p**3 - 7 - 24*p**2 - m*p + 7*p**3 + 13.
-3*(p + 1)**2*(5*p - 2)
Let o(v) be the second derivative of v**7/2520 - v**5/360 + 7*v**3/6 - 10*v. Let u(l) be the second derivative of o(l). Find p such that u(p) = 0.
-1, 0, 1
Let q(r) be the third derivative of r**7/45 - 23*r**6/30 + 31*r**5/30 + 19*r**4/18 - 199*r**2 + 1. Solve q(g) = 0 for g.
-2/7, 0, 1, 19
Let y(u) be the first derivative of u**4/3 + 4*u**3/3 + 2*u**2 + 28*u - 27. Let t(w) be the first derivative of y(w). Factor t(f).
4*(f + 1)**2
Let m = -13 + 19. Factor 316 + m*r**3 + 0*r**3 + 9*r**2 - 9*r - 322.
3*(r - 1)*(r + 2)*(2*r + 1)
Let y be 14 + 1632/(-112) + (-32)/(-14). Suppose 4/7*s**5 + 0 - 16/7*s**3 + y*s - 8/7*s**2 + 8/7*s**4 = 0. Calculate s.
-3, -1, 0, 1
Factor 2/9*a**4 + 0*a**3 + 4/9*a + 0 - 2/3*a**2.
2*a*(a - 1)**2*(a + 2)/9
Let z(x) be the second derivative of -12*x**3 + 0 + 9*x - 3/2*x**4 - 3/40*x**5 - 48*x**2. Solve z(h) = 0.
-4
Let a(b) be the first derivative of -4*b**3/3 + 6*b**2 - 207. Factor a(t).
-4*t*(t - 3)
Let z(n) be the first derivative of -n**5/50 - 2*n**4/5 - 21*n**3/10 + 4*n**2/5 + 32*n/5 + 63. Suppose z(p) = 0. Calculate p.
-8, -1, 1
Suppose 25*h - 28 = 11*h. Let 0 + 3/7*k - 3/7*k**h - 3/7*k**3 + 3/7*k**4 = 0. What is k?
-1, 0, 1
Let d(i) be the first derivative of -2*i**3 + 8*i + 0*i**2 - 2 - 1/2*i**4. What is b in d(b) = 0?
-2, 1
Let i(c) = 30*c - 7*c - 37*c - 11*c**2 - 21. Let v(b) = -32*b**2 - 43*b - 62. Let z(o) = 17*i(o) - 6*v(o). Factor z(u).
5*(u + 1)*(u + 3)
Let a be 2*(-23)/(-1134)*(-180)/(-24). Let z = a + -1/54. Let 4/7*p - 2/7*p**2 - z = 0. What is p?
1
Factor 12/5*j + 504/5*j**3 + 246/5*j**4 + 0 + 54*j**2.
6*j*(j + 1)**2*(41*j + 2)/5
Let i(y) be the second derivative of -y**6/225 + 173*y**5/75 - 29581*y**4/90 - 20068*y**3/15 - 10092*y**2/5 - 433*y - 1. What is m in i(m) = 0?
-1, 174
Suppose 5*w - 4*j - 38 = 0, 2*j + 29 = 4*w + 1. Let y be (2/w)/((-6)/(-42)). Suppose 0 - 4/3*r**4 - y*r**3 - 2/3*r**2 + 1/3*r = 0. What is r?
-1, 0, 1/4
Let j be 3/33*(-512)/(-80) - (-2)/(-11). Factor 6/5 - 2*s + 2/5*s**3 + j*s**2.
2*(s - 1)**2*(s + 3)/5
Factor 0*f + 54 - 3/2*f**2.
-3*(f - 6)*(f + 6)/2
Let x(h) = -5*h**2 - 387*h - 154. Let a be x(-77). Factor 4/9*y**2 + a - 2/3*y**3 + 0*y.
-2*y**2*(3*y - 2)/9
Let l(o) = -o**2 - 5*o + 3. Let q be 5/2*(-1 + -1). Let a be l(q). Let 4*k - 3*k**3 - 8*k + a - 5*k + 9*k**2 = 0. Calculate k.
1
Suppose y - 3*s + 8 = 2*y, 3*y = -3*s + 18. Suppose -6*h + 4*h = 0, 3*h = -y*w + 40. Factor 119*u**2 + w - 7*u - 21*u**2 + 63*u.
2*(7*u + 2)**2
Let y(g) be the third derivative of g**6/120 + 43*g**5/60 + 55*g**4/3 - 242*g**3/3 + g**2 + 28. Factor y(h).
(h - 1)*(h + 22)**2
Factor 140*l**2 + 1