 3)*(p + 1)*(p + 89)/4
Let w(l) = 3*l**2 - 3951*l + 1356. Let b(n) = n**2 - 11*n - 3. Let i(p) = 6*b(p) + w(p). Factor i(s).
3*(s - 446)*(3*s - 1)
Let z(n) be the second derivative of 16/21*n**3 + 20/7*n**2 + 0 + 1/15*n**6 - 1/147*n**7 - 1/10*n**5 - 19/42*n**4 + 8*n. Determine h, given that z(h) = 0.
-1, 2, 5
Suppose -4*w - 111 = -3*x, -2*x - 2*w - 1947 = -2035. Let k(i) be the first derivative of 26/15*i**2 + 32/15*i + 2/15*i**3 + x. Factor k(m).
2*(m + 8)*(3*m + 2)/15
Let k(x) be the second derivative of -x**6/45 - 8*x**5/3 - 100*x**4/3 + 40000*x**3/9 - 250000*x**2/3 + 5283*x. What is w in k(w) = 0?
-50, 10
Let n(j) be the third derivative of 0*j + 75/2*j**4 + 1/6*j**6 + 17/4*j**5 - 144*j**2 + 0 + 90*j**3. Factor n(f).
5*(f + 6)**2*(4*f + 3)
Let h be (-524)/131*(-3 + (-5)/(-2)). Let s(j) be the third derivative of 0*j**3 + 18*j**h + 0*j + 0*j**4 + 0 + 1/75*j**5 - 1/300*j**6. Factor s(a).
-2*a**2*(a - 2)/5
Factor -2/3*i**2 - 20*i - 54.
-2*(i + 3)*(i + 27)/3
Suppose -4*f + 30 = 5*n, n + 5*f - 7 = 4*f. Suppose 0 = 3*j - 21, -2*x + 9*j + 4*j - 10*j = -2331. Factor 12 + 144*k + 3087/4*k**4 + x*k**3 + 630*k**n.
3*(3*k + 2)*(7*k + 2)**3/4
Let g = 296 - 231. Determine h, given that 70*h + g*h**2 + 5*h**4 + 58*h**3 + 5*h**4 - 3*h**3 - 50*h = 0.
-4, -1, -1/2, 0
Let p be (-1673)/(-35) + (2/10 - 0). Suppose 4*y = -p + 64. Factor 4*s**3 + 8*s - 6*s**3 - 6*s + s**y - s**2.
s*(s - 2)*(s - 1)*(s + 1)
Find l, given that 50/11*l**3 - 168/11*l**2 + 2/11*l**4 + 8/11*l + 224/11 = 0.
-28, -1, 2
Let b = -56 + 67. Suppose 2*c - 3 = -2*d + 7, -c = 3*d - b. Let 3*a**3 + a - 2*a - 197*a**c + 203*a**2 + 4*a = 0. What is a?
-1, 0
Let i(b) = -8*b**2 - 586*b - 3. Let w(a) = -5*a**2 - 588*a - 2. Let y(o) = 2*i(o) - 3*w(o). What is t in y(t) = 0?
0, 592
Let w(f) be the third derivative of 2*f + 21*f**2 - 29/12*f**4 + 0 - 33/20*f**5 - 9/140*f**7 - 2*f**3 - 9/16*f**6. Suppose w(q) = 0. Calculate q.
-3, -2/3
Factor -q**2 + 166*q + 426 - 36*q + 6*q**2 + 174.
5*(q + 6)*(q + 20)
Let a = 20197 - 28073831/1390. Let y = 13883/23630 - a. Let -4/17 + y*m + 14/17*m**2 = 0. Calculate m.
-1, 2/7
Suppose 0 - 6/5*d**5 - 222/5*d**4 + 1062/5*d**2 - 186/5*d**3 - 648/5*d = 0. Calculate d.
-36, -3, 0, 1
Suppose -254*w = -257*w + 6. Find k such that -2*k**5 - w*k**4 + 4*k**2 - 6*k**4 + 6*k**3 - k**3 + k**4 = 0.
-4, -1/2, 0, 1
Let a(z) be the third derivative of z**8/2016 + z**7/1260 - z**6/72 + z**5/45 + 2074*z**2. Factor a(m).
m**2*(m - 2)*(m - 1)*(m + 4)/6
Let j(x) = 4*x**2 - 4*x - 9. Let g(m) = -m**2 + 2*m. Let r be (-11 + 1)*(14/(-4) + 3). Let l(n) = r*g(n) + j(n). Suppose l(v) = 0. What is v?
3
Let k = 198705/8 - 24838. Determine m so that -1/4*m - 1/8*m**2 - k = 0.
-1
Let f(t) = 2*t + 15. Let v(h) = -4*h**2 + 34*h - 1. Let b(j) = -3*f(j) - v(j). Factor b(a).
4*(a - 11)*(a + 1)
Suppose -5*t + j = -19, t + 9*j + 142 = -7*j. Let 612*m - 867/2*m**t - 216 = 0. What is m?
12/17
Suppose -183*v**3 + 422*v**3 - 200*v**3 + 392*v + 82*v**4 - 145*v**3 + 2*v**5 - 384*v**2 + 14*v**4 = 0. What is v?
-49, -2, 0, 1, 2
Let d be (-4)/18*(-3)/7 + 268/469. Let y(l) be the first derivative of -d*l + 7/24*l**4 + 5/3*l**2 - 23/18*l**3 - 19. Factor y(n).
(n - 2)*(n - 1)*(7*n - 2)/6
Let n(p) be the third derivative of -p**8/6 - 898*p**7/35 - 93*p**6/10 + 862*p**5/15 - 32*p**4 - 10199*p**2. Let n(r) = 0. Calculate r.
-96, -1, 0, 2/7, 1/2
Let -80 + 36/7*o + 2/7*o**2 = 0. What is o?
-28, 10
Let p be (88/(-396)*(-9)/(-4))/((-28)/16). Factor p*i**2 + 38/7*i - 12.
2*(i - 2)*(i + 21)/7
Let t = 720 - 282. Suppose t - 42 = 4*u. Let 69 - 56*r - u - 166 - 4*r**2 = 0. What is r?
-7
Let l(j) = 205*j**2 + 35940*j + 54315. Let v(p) = 12*p**2 + 2115*p + 3195. Let d(k) = -2*l(k) + 35*v(k). Factor d(f).
5*(f + 213)*(2*f + 3)
Let b(j) be the second derivative of 2*j + 3/2*j**2 - 1/24*j**4 + 5/12*j**3 + 83. Find w, given that b(w) = 0.
-1, 6
Let u(z) be the third derivative of -1/10*z**4 + 0 - 9/100*z**5 - 1/350*z**7 - 3/100*z**6 + 0*z**3 - 55*z**2 + 0*z. Factor u(b).
-3*b*(b + 1)**2*(b + 4)/5
Let g be (8 + (-1836)/280 + (-2)/(-35))/1. Factor 0 + 1/6*f**3 + g*f**2 + 4/3*f.
f*(f + 1)*(f + 8)/6
Factor -79*a**3 - 448 + 100171*a**4 + 15*a**3 + 256*a + 96*a**2 - 100167*a**4.
4*(a - 14)*(a - 2)**2*(a + 2)
Factor 2/11*n**2 - 450/11 + 32/11*n.
2*(n - 9)*(n + 25)/11
Let p(j) = j**4 - 13*j**3 + 7*j**2 + 5*j - 4. Let t(s) = -2*s**4 + 24*s**3 - 14*s**2 - 8*s + 7. Let o(q) = 7*p(q) + 4*t(q). Factor o(r).
-r*(r - 3)*(r - 1)**2
Let r = 6 - 20. Let p = -12 - r. Factor -543 + 3*a**p + 540 + 4*a - 4*a.
3*(a - 1)*(a + 1)
Let j = 1924 + -1924. Let l(c) be the third derivative of 0*c**5 - 2/21*c**3 - 1/420*c**6 - 12*c**2 + 1/28*c**4 + j + 0*c. Factor l(s).
-2*(s - 1)**2*(s + 2)/7
Let l(t) be the third derivative of -t**6/320 + 111*t**5/160 + 113*t**4/32 + t**2 + 193*t - 1. Let l(v) = 0. Calculate v.
-2, 0, 113
Let q(n) = -4*n**3 - 6*n**2 + 7*n - 1. Let h be q(1). Let r be 4*(3/h + (-21)/(-14)). Find p, given that 0 + 0*p - 1/3*p**4 + 2/3*p**2 - 1/3*p**r = 0.
-2, 0, 1
Let b be (-9 - -13) + -10 - (0 - 18). Let h(d) = -d**3 - 6*d**2 + 7. Let f be h(-6). Suppose 12*g**2 + f + 2 + b*g - 9*g**2 = 0. What is g?
-3, -1
Let c = 196 - 190. Let a = -6 + -1. Let p(v) = -11*v**2 - 14*v. Let s(x) = -12*x**2 - 13*x. Let h(f) = a*p(f) + c*s(f). Suppose h(z) = 0. Calculate z.
-4, 0
Let j(v) = -18*v**2 + 61*v + 74. Let x(h) = 21*h**2 - 60*h - 75. Let q be 3 + (-1)/(5/(-40)*4). Let p(t) = q*x(t) + 6*j(t). Factor p(i).
-3*(i - 23)*(i + 1)
Suppose 36 = -4*c, -k - 4*k - 7*c - 3 = 30. Factor -k*d**2 - 8/3 + 8*d.
-2*(3*d - 2)**2/3
Let m(c) be the second derivative of -5*c**4/12 - 205*c**3 - 1225*c**2/2 - 101*c - 2. Factor m(u).
-5*(u + 1)*(u + 245)
Let g(o) be the first derivative of 3*o**5/5 - 147*o**4/4 + 575*o**3 + 1875*o**2/2 + 528. Factor g(c).
3*c*(c - 25)**2*(c + 1)
Factor 4*j**3 - 718*j + 200*j + 302*j + 324*j + 40*j**2 + 72.
4*(j + 1)*(j + 3)*(j + 6)
Find l, given that 2/11*l**3 + 58480/11*l + 59168/11 - 686/11*l**2 = 0.
-1, 172
Let q(b) = -4*b**3 + 2*b**2 + 3*b. Let k = -1 - -5. Let v(d) = -1065 - 5*d**3 + k*d + 1065 + 3*d**2. Let m(t) = -4*q(t) + 3*v(t). Suppose m(h) = 0. What is h?
-1, 0
Let z = 3086/883 + 102883/2649. Factor 5/3*c**2 + 50/3 + z*c.
(c + 25)*(5*c + 2)/3
Let l(o) be the third derivative of o**5/180 - 9*o**4/8 + 13*o**3 - 251*o**2. Factor l(s).
(s - 78)*(s - 3)/3
Let k be -4 + 0/5 + 12. Suppose 0 = -k*h + 11*h - 6. Factor 6*u - 2*u**2 - 2*u**3 - 2*u**h + 8*u**3 - 8*u.
2*u*(u - 1)*(3*u + 1)
Factor 27*t - 45*t**3 + 83*t**3 + 10*t + 19 + 10*t**2 - 39*t**3 + 7*t**2.
-(t - 19)*(t + 1)**2
Let c = 38 + -10. Suppose -3*o = -10*o + c. Factor -20*l**3 + 10*l**2 - 25*l**4 + 7*l**2 - 7*l**5 - 9*l**2 - l**o.
-l**2*(l + 2)**2*(7*l - 2)
Let x(k) be the first derivative of 3 + 1/20*k**5 - 1/4*k**4 + 0*k**3 + 0*k**2 - 12*k. Let p(a) be the first derivative of x(a). Let p(g) = 0. Calculate g.
0, 3
Factor 55*o**3 - 238*o - 176*o**3 + 61*o**3 - 6*o - 64*o**2 - 240 + 59*o**3.
-(o + 2)**2*(o + 60)
Let x be 2/(-11) - -35*1/11. Suppose -o + x - 1 = 0. Solve y**o - 16*y + 11*y + 2*y**3 - y**3 + 3 = 0 for y.
-3, 1
Suppose 0 = 2*l + 8, 3*l - 8*l - 20 = 4*p. Suppose 5*o + 2 = -v, -3*v - 3*o + p*o + 6 = 0. Solve 9/5*w**v - 3/5*w**4 + 0 + 0*w**2 - 12/5*w = 0.
-1, 0, 2
Let g(b) be the first derivative of -74 + 9/2*b**4 + 3/5*b**5 - 48*b**2 + 0*b**3 + 0*b. Let g(j) = 0. Calculate j.
-4, 0, 2
Let x(y) be the first derivative of 441/4*y - 44 + 1/12*y**3 - 21/4*y**2. Factor x(g).
(g - 21)**2/4
Suppose -4*m = 4*n - 20, 7*m + 22 = 2*n + 3*m. Suppose n*p - 21 - 35 = 0. Let -p*i**4 + 8*i**3 - 4 - 5*i - 3*i**5 + 852*i**2 - 838*i**2 - 2 = 0. What is i?
-3, -1, -2/3, 1
Let u(b) be the first derivative of -5*b**3/3 - 360*b**2 + 1460*b + 55. Find t such that u(t) = 0.
-146, 2
Let n = 49 + -47. What is r in -3*r**3 + 3*r**2 - 3*r**3 + 12 + 6*r**n - 3*r**4 + 24*r = 0?
-2, -1, 2
Factor 2*s**2 + 5/3*s - 14/3.
(s + 2)*(6*s - 7)/3
Factor -30/7*v**2 + 2*v + 18/7*v**3 + 0 - 2/7*v**4.
-2*v*(v - 7)*(v - 1)**2/7
Let s(q) be the first derivative of -q**6/24 - 4*q**5/5 - 21*q**4/4 - 83*q**3/6 - 139*q**2/8 - 21*q/2 - 629. Factor s(n).
-(n + 1)**3*(n + 6)*(n + 7)/4
Let i(n) be the first derivative of 1/540*n**5 - 1/54*n**3 + 0*n + 13/2*n**2 + 0*n**4 + 26. Let b(a) be the second derivative of i(a). Solve b(