+ 8*k**2 - 47*k + 37. Let z(u) = h(u) + p(u). Factor z(o).
3*(o - 2)*(o - 1)*(o + 6)
Let x = -1155/194 - -626/97. Determine q so that -9/2*q + 0 - x*q**4 - 3/2*q**2 + 5/2*q**3 = 0.
-1, 0, 3
Suppose 2*k + 56 = 6*k. Suppose 6*v - k = -v. Factor -18*w - 12 + 0 + 0 - v*w + 8*w**2.
4*(w - 3)*(2*w + 1)
Solve -5489*b + 24 - 5*b**4 + 10*b**2 + 23*b**2 + 2*b**4 + 5435*b = 0.
-4, 1, 2
Let q(b) be the second derivative of -b**5/100 - b**4/6 - 2*b**3/5 + 36*b**2/5 - 65*b. Factor q(l).
-(l - 2)*(l + 6)**2/5
Let b = 245 + -242. Let d(x) be the third derivative of -3*x**2 + 0 + 0*x**4 + 0*x - 4/27*x**b + 1/270*x**5. Determine i, given that d(i) = 0.
-2, 2
Let i = 5 + -8. Let d = 9 - i. Factor -5 + 4*l**3 + d*l - 18*l**2 + l**3 + 13 + 0*l**3.
(l - 2)**2*(5*l + 2)
Let z(s) be the first derivative of 5*s**8/336 - s**7/21 + s**5/6 - 5*s**4/24 + 12*s**2 - 2. Let h(o) be the second derivative of z(o). Factor h(g).
5*g*(g - 1)**3*(g + 1)
Let n = -1613848/435 + 3710. Let i = 1154/1305 + n. Factor 8/9*g + 2/9*g**2 + i.
2*(g + 2)**2/9
Let j(r) = 5*r - 98. Let b be j(20). Let t(d) be the first derivative of 4 - b*d + 4/3*d**3 - d**2. Factor t(m).
2*(m - 1)*(2*m + 1)
Let i(k) be the second derivative of -k**7/168 - k**6/12 - 11*k**5/80 + 41*k**4/24 + k**3/2 - 9*k**2 + 34*k. What is v in i(v) = 0?
-6, -1, 1, 2
Determine z, given that -11*z**5 + 34*z**5 - 18*z**5 + 60*z**2 + 45*z**4 + 100*z**3 = 0.
-6, -2, -1, 0
Let q be (-11900)/(-39375) - (46/(-50) + 1). Factor -8/9*i**4 + q*i**5 + 4/9 + 8/9*i**3 + 4/9*i**2 - 10/9*i.
2*(i - 2)*(i - 1)**3*(i + 1)/9
Let f = 1635 + -11427/7. Find p such that -3/7*p + 0 - f*p**3 + 12/7*p**4 + 12/7*p**2 - 3/7*p**5 = 0.
0, 1
Let d(o) = 14*o**2 + 44*o + 38. Let k(f) = 9*f**2 + 29*f + 25. Let j = 22 - 27. Let l(y) = j*d(y) + 8*k(y). Factor l(n).
2*(n + 1)*(n + 5)
Let b(g) be the first derivative of 7 - 7/24*g**4 - 11/12*g**3 - g - 1/2*g**2 + 1/2*g**5. Let w(p) be the first derivative of b(p). Factor w(x).
(x - 1)*(4*x + 1)*(5*x + 2)/2
Let n(o) be the second derivative of o**4/24 + 7*o**3/12 + 3*o**2 - 120*o. Find r such that n(r) = 0.
-4, -3
Suppose -6*p + 2*p = -16. Suppose p*w + w = 0. Factor w*i + 0*i**2 - 12*i**3 - i - 3*i - 16*i**2.
-4*i*(i + 1)*(3*i + 1)
Let r(n) be the first derivative of -7 + 3/14*n**4 + 0*n - 1/7*n**3 - 3/35*n**5 + 0*n**2. Factor r(c).
-3*c**2*(c - 1)**2/7
Suppose z - 7 + 2 = 0. Let g be (20/8)/((-15)/(-6)) - -3. Suppose 1/8*j**3 - 1/8*j**z + 0*j + 0 + 1/4*j**2 - 1/4*j**g = 0. What is j?
-2, -1, 0, 1
Factor 2/5*y**2 - 22/5*y + 0.
2*y*(y - 11)/5
Let k(q) be the third derivative of q**8/168 - q**7/35 - 2*q**6/15 + 4*q**5/5 + 4*q**4/3 - 16*q**3 - 496*q**2. Solve k(v) = 0.
-2, 2, 3
Suppose 62*d = 64*d - 14. Let t(g) be the second derivative of -2*g**3 + 1/10*g**6 + 0*g**4 + d*g + 0 + 9/20*g**5 + 0*g**2. Factor t(w).
3*w*(w - 1)*(w + 2)**2
Let x = 295 + -291. Let i(s) be the second derivative of 1/72*s**x - 1/180*s**6 - 1/36*s**3 + 3*s + 1/120*s**5 + 0 + 0*s**2. Factor i(u).
-u*(u - 1)**2*(u + 1)/6
Determine m so that 3/8*m**5 - 3/2*m**4 - 9/8*m + 0 + 3/4*m**3 + 3/2*m**2 = 0.
-1, 0, 1, 3
Let b(o) be the first derivative of o**4/16 - 3*o**3/2 - 39*o**2/8 - 5*o + 103. Find l such that b(l) = 0.
-1, 20
Suppose 1661 = 5*a + 16. Solve 165*w**2 - 4*w**3 - 2*w**5 - a*w**2 + 164*w**2 - 6*w**4 = 0 for w.
-2, -1, 0
Let s(v) be the second derivative of -v**6/72 + v**5/4 - 15*v**4/8 + 2*v**3 + 6*v. Let g(k) be the second derivative of s(k). Factor g(b).
-5*(b - 3)**2
Let b(f) be the first derivative of -3*f**2 + 0*f + f**3 - 3 + 9/4*f**4. Let v(m) = 17*m**3 + 5*m**2 - 11*m. Let w(r) = 11*b(r) - 6*v(r). Factor w(z).
-3*z**2*(z - 1)
Let c(s) be the second derivative of -s**4/36 - 23*s**3/18 - 7*s**2 - 625*s. What is w in c(w) = 0?
-21, -2
Solve 0*p**3 + 9*p**3 + 15*p**4 - 13*p**4 - p**3 + 6*p**3 = 0 for p.
-7, 0
Let a(g) be the first derivative of 2*g**5/3 + 59*g**4/24 + 19*g**3/6 + 17*g**2/12 - g/6 - 97. Let a(d) = 0. Calculate d.
-1, 1/20
Let c = 32 - 30. Suppose 4*s - 6 = c. Factor 4*g + 4*g**3 + 0 + 6*g**s + 0 - 2*g**3.
2*g*(g + 1)*(g + 2)
Let o(r) = -r**3 + 8*r**2 - 6*r - 4. Let z be o(7). What is y in -2*y**4 - 2*y**3 - 3*y**4 + 2*y**2 + 2*y**5 + z*y**4 = 0?
-1, 0, 1
Let p = -43233/5 - -8647. Factor -2/5*c**2 + p*c**3 + 0*c + 0.
2*c**2*(c - 1)/5
Let g(v) be the first derivative of -v**6/45 - v**5/30 + v**4/9 - 5*v - 10. Let h(x) be the first derivative of g(x). Determine u, given that h(u) = 0.
-2, 0, 1
Factor 0 + 20/7*q**2 - 12/7*q - 4/7*q**4 - 4/7*q**3.
-4*q*(q - 1)**2*(q + 3)/7
Let a(k) = -k**3 + 8*k**2 - 22*k - 4. Let f(n) = -n**2 + n - 2. Let h(i) = a(i) - 2*f(i). Suppose h(c) = 0. What is c?
0, 4, 6
Let v = -24572 - -24577. Factor -3/7*r**4 - 1/7*r**v + 0*r + 0 - 2/7*r**3 + 0*r**2.
-r**3*(r + 1)*(r + 2)/7
Suppose -5*q + 10 = 30. Let c(o) = 6*o**2 + 6*o. Let b(r) = -3*r - 7*r**2 + 3*r - 7*r. Let d(k) = q*b(k) - 5*c(k). Factor d(l).
-2*l*(l + 1)
Factor 0*n - 1/6*n**4 + 0 - 7/6*n**3 - 5/3*n**2.
-n**2*(n + 2)*(n + 5)/6
Factor -3/2*h**2 + 0 - 6*h.
-3*h*(h + 4)/2
Let m(s) be the third derivative of -s**8/70560 - s**7/17640 + s**5/4 - 16*s**2. Let i(n) be the third derivative of m(n). Factor i(g).
-2*g*(g + 1)/7
Factor 2/9*c**2 + 2/9*c**4 + 0 + 0*c + 4/9*c**3.
2*c**2*(c + 1)**2/9
Let l be 1*(-13 - (0 - 8) - 150/(-26)). Factor 4/13 - 2/13*n**4 - l*n + 2/13*n**3 + 6/13*n**2.
-2*(n - 1)**3*(n + 2)/13
Let f = 283 - 286. Let k be f/(-8)*3*4/9. Determine x so that -1/2*x**2 + x - k = 0.
1
Let t = 14 - 4. Suppose -5*g = t, -g = v + 4*g + 8. Factor 3*u**2 + 1 - 2*u**2 + v*u + 0*u**2.
(u + 1)**2
Let l = 2/5083 + 20326/15249. Let v(y) be the second derivative of -6*y + 0 + l*y**3 + 1/20*y**5 + 5/12*y**4 + 2*y**2. What is p in v(p) = 0?
-2, -1
Suppose 52*w = 7182 - 2190. Determine s, given that 3/2*s**2 + w + 24*s = 0.
-8
Let d(l) = -15*l**4 + 55*l**3 + 235*l**2 + 255*l + 90. Let r(q) = 23*q**4 - 82*q**3 - 352*q**2 - 382*q - 135. Let j(t) = 8*d(t) + 5*r(t). Factor j(u).
-5*(u - 9)*(u + 1)**3
Suppose 5*y + m = 16, -4*y - 49*m + 14 = -47*m. Factor 4/5*z**2 + 0 + 0*z - 2/5*z**y.
-2*z**2*(z - 2)/5
Let b(v) be the first derivative of -v**5/30 + v**3/6 + v**2/6 + 8. Determine w, given that b(w) = 0.
-1, 0, 2
Let j be 48/(-120)*(-2 + 16/(-2)). Let v(o) be the first derivative of 0*o + 0*o**2 - o**j + 8/3*o**3 + 8. Factor v(d).
-4*d**2*(d - 2)
Suppose 3*b = 5*u - 9, -3*u - 5*b - 49 = -34. Factor -4/13*t**3 - 2/13*t**2 + 4/13*t + u + 2/13*t**4.
2*t*(t - 2)*(t - 1)*(t + 1)/13
Suppose -272*q + 4 = -270*q. Let g(y) be the first derivative of 9*y**2 - 21/8*y**4 + 6*y - q - 9/2*y**3. Let g(a) = 0. What is a?
-2, -2/7, 1
Let u(m) be the third derivative of m**7/1260 - m**6/135 + m**5/45 - 7*m**3/6 - m**2. Let s(x) be the first derivative of u(x). Solve s(d) = 0 for d.
0, 2
Let c(a) be the first derivative of 7/5*a**5 + 8*a**2 - 13 + 1/6*a**6 + 19/4*a**4 + 25/3*a**3 + 4*a. Determine d so that c(d) = 0.
-2, -1
Let u be ((-272)/184)/17*-23. Factor 2/9*g**3 - 2/9*g**u + 1/9*g**4 - 1/9*g - 1/9*g**5 + 1/9.
-(g - 1)**3*(g + 1)**2/9
Let c(n) = 21*n**2 - 9*n - 4. Let x = 69 + -43. Let s = 52 - x. Let p(h) = 5*h**2 - 2*h - 1. Let y(l) = s*p(l) - 6*c(l). Determine i, given that y(i) = 0.
-1, 1/2
Let r be ((-39)/9 - 1)*(-9)/6. Solve -4*i**5 - r*i**4 - 28*i**3 + 16*i**4 + 16*i**2 + 8*i**5 = 0.
-4, 0, 1
Let u(i) = 327*i - 19618. Let y be u(60). Determine o so that 1/3*o**y - o - 4/3 = 0.
-1, 4
Suppose 0 = -5*p + 5*v + 15, v = -0*v. Determine l so that 3 + 0*l**3 + 0*l**3 - l**p - 7*l - 3*l**2 + 8*l**2 = 0.
1, 3
Suppose -9*q + 94 - 31 = 0. Let o(t) be the second derivative of t**4 - 4/15*t**6 + 1/7*t**q + 7*t + 1/3*t**3 - 2*t**2 - 2/5*t**5 + 0. Let o(i) = 0. What is i?
-1, -2/3, 1
Let c = -6773 + 27137/4. Factor -3/2*p**3 - 69/8*p**2 - c*p + 27/8.
-3*(p + 3)**2*(4*p - 1)/8
Factor 60*w**3 - 440*w + 4*w**4 - 72*w**3 + 488*w - 16*w**2.
4*w*(w - 3)*(w - 2)*(w + 2)
Let h be 85/21 - (5 + -2 + 1). Let v(t) be the first derivative of 2/7*t**2 + 1 - 3/7*t - h*t**3. Suppose v(u) = 0. What is u?
1, 3
Solve 200/3*z + 5000/3 + 2/3*z**2 = 0 for z.
-50
Let n(t) = -5*t**2 + 117*t - 100. Let u(m) = -15*m**2 + 352*m - 295. Let r(p) = 7*n(p) - 2*u(p). Factor r(x).
-5*(x - 22)*(x - 1)
Let o(l) = l**3 + 5*l - 9. Let v be o(0). Let n be (-33)/v + (-11 - -8). Factor 0 - 8/3*w + n*w**2.
2*w*