v**u + 16 + 114*v**3 + 164*v - 4*v**3 + 91*v**3 + 418*v**2.
2*(v + 1)*(5*v + 2)*(27*v + 4)
Let q = -46 + 50. Let t(f) = f**3 + f**2. Let u(k) = -2*k**4 - 10*k**3 - 8*k**2. Let o(l) = q*t(l) + u(l). Factor o(d).
-2*d**2*(d + 1)*(d + 2)
Determine f so that -232*f**4 + 11872*f**2 + 34816 - 4*f**5 - 238*f**4 + 438*f**4 + 45824*f + 836*f**3 = 0.
-8, -1, 17
Let k(n) = -n**3 + 314*n**2 + 8411*n - 4. Let o(h) = 6*h**3 - 2199*h**2 - 58881*h + 27. Let d(x) = 27*k(x) + 4*o(x). Let d(z) = 0. Calculate z.
-53, 0
Let d(v) = 266*v**2 + 74*v - 2. Let f(n) = -n**2 + n - 1. Suppose -u - 4*q = -7*q + 5, 0 = -4*u - 2*q - 6. Let z(w) = u*f(w) - d(w). Factor z(x).
-4*(3*x + 1)*(22*x - 1)
Let u(f) = f**2 - 810*f + 2373. Let b(a) = -812*a + 2372. Let j(p) = 3*b(p) - 4*u(p). Factor j(o).
-4*(o - 198)*(o - 3)
Let y(t) be the second derivative of t**7/84 - 583*t**6/240 - 1879*t**5/80 - 2125*t**4/32 - 57*t**3/2 - 3772*t. Solve y(f) = 0.
-3, -1/4, 0, 152
Suppose 0 = 72*k + 156 - 8796. Suppose 87*m = k*m - 132. What is z in 2/11*z**2 - 1/11 - 1/11*z**m + 0*z + 0*z**3 = 0?
-1, 1
Let k(d) be the third derivative of -31*d**5/270 + 5*d**4/18 + d**3/27 - 2603*d**2. Factor k(o).
-2*(o - 1)*(31*o + 1)/9
Let z be (310/(-93))/((1/(-18))/(5/10)). Let d(g) be the third derivative of 1/40*g**6 - z*g**2 - 3/2*g**3 - 1/20*g**5 - 5/8*g**4 + 0*g + 0. Solve d(k) = 0.
-1, 3
Suppose -d = 3*h - 1, -16*h - 5*d = -12*h + 17. Factor -3*y**4 + 231*y - 171*y**h - 150 + 256*y - 202*y + 39*y**3.
-3*(y - 5)**2*(y - 2)*(y - 1)
Let c(w) be the third derivative of 0*w - 81/7*w**3 + 0 - 33*w**2 - 1/630*w**5 + 3/14*w**4. What is t in c(t) = 0?
27
Let g(i) be the second derivative of -3/5*i**5 + 10/3*i**4 + 0*i**3 - 86*i + 0*i**2 - 2/15*i**6 + 0. Factor g(p).
-4*p**2*(p - 2)*(p + 5)
Let q(k) = 7*k - 33. Let n(g) = -g**2 + 10*g + 29. Let l be n(12). Let b be q(l). Determine i so that -82 + 2*i**3 + 82 - 3*i**b - 3*i**3 = 0.
-3, 0
Suppose -1204 + 288 = 4*z. Let d = -1141/5 - z. Solve d + 4/5*a + 1/5*a**2 = 0 for a.
-2
Let 3*h**3 - 63*h + 34*h - 16 - 196*h**2 - 136*h - 43*h - 51*h**3 = 0. What is h?
-2, -1/12
Let f = -26 - -30. Factor -12*a**f + 23*a**4 + a**3 - 13*a**4 + 2*a**2 - 2*a**3 + a**5.
a**2*(a - 2)*(a - 1)*(a + 1)
Let k(s) = 14*s**3 + 4*s**2 - 485*s + 1872. Let r(d) = 6*d**3 + 2*d**2 - 242*d + 936. Let m(n) = -2*k(n) + 5*r(n). Factor m(i).
2*(i - 6)**2*(i + 13)
Let z be -1 + -2 + (11 - 6). Factor 14970*p**3 + 4*p**2 + 10*p**2 - z*p**4 - 14966*p**3 + 8*p.
-2*p*(p - 4)*(p + 1)**2
Let q(r) be the first derivative of -r**6/6 - 54*r**5/5 + 44*r**4 + 94*r**3 - 175*r**2/2 - 228*r + 2739. Suppose q(m) = 0. Calculate m.
-57, -1, 1, 4
Let d(x) be the second derivative of -9*x**4/4 + 3215*x**3/2 - 1071*x**2 - 107*x. Suppose d(g) = 0. What is g?
2/9, 357
Let p(q) be the third derivative of -q**6/840 + 2*q**5/35 - 15*q**4/56 + 11*q**3/21 - 3*q**2 + 439*q. Determine j so that p(j) = 0.
1, 22
Let m(i) = -17*i**2 + 41*i + 52. Let t(k) = -20*k**2 + 40*k + 53. Let d(y) = 7*m(y) - 6*t(y). Factor d(a).
(a + 1)*(a + 46)
Suppose -4*l + 125 = -0*l + 5*p, 2*p - 10 = 0. Solve -25*o**4 + l*o**3 + 30*o**4 - 12 - 25*o + 15*o**2 - 8 = 0.
-4, -1, 1
Let v(q) be the second derivative of -4/33*q**4 + 0 - 4/11*q**3 - 25*q + 0*q**2 + 1/22*q**5 + 1/165*q**6. Factor v(c).
2*c*(c - 2)*(c + 1)*(c + 6)/11
Let n(g) be the first derivative of 0*g**2 + 0*g**3 + 1/25*g**5 + 1/15*g**4 - 21 - 13*g. Let j(l) be the first derivative of n(l). Let j(q) = 0. What is q?
-1, 0
Factor 3/4*w**3 + 0 - 114*w - 111/2*w**2.
3*w*(w - 76)*(w + 2)/4
Let w(a) be the second derivative of a**7/4200 - a**6/120 - 179*a**3/6 + 25*a - 4. Let d(u) be the second derivative of w(u). Factor d(p).
p**2*(p - 15)/5
Let m(i) be the first derivative of 84 - 1080*i**2 - 8640*i - 5/4*i**4 - 60*i**3. Let m(x) = 0. Calculate x.
-12
Let o(g) = 3*g**2 + g. Let i(r) = -5*r**3 + 48*r**2 - 9*r - 50. Let u(t) = i(t) - 6*o(t). Factor u(y).
-5*(y - 5)*(y - 2)*(y + 1)
Suppose 5*d - 1 + 6 = 5*k, k + 5*d = -23. Let p be ((-704)/(-792))/((-2)/k). Factor -p*q - 4/3 + 2/3*q**3 - 1/3*q**4 + q**2.
-(q - 2)**2*(q + 1)**2/3
Let n(r) be the first derivative of r**9/1008 - 3*r**8/560 + r**6/30 + 115*r**3/3 - 60. Let j(z) be the third derivative of n(z). Factor j(t).
3*t**2*(t - 2)**2*(t + 1)
Suppose -5*k + 329 = 5*q + 289, -k = 3*q - 8. Find g such that -2/3*g**2 + q + 2/3*g = 0.
0, 1
Let s(b) be the first derivative of -2*b**5/5 - 165*b**4/2 + 114*b**3 + 833*b**2 + 996*b - 2145. Let s(w) = 0. What is w?
-166, -1, 3
Determine x so that -137*x**4 - 15*x**3 - 2*x**5 + 10206*x - 93*x**3 + 1944*x**2 - 26*x**4 + 123*x**4 = 0.
-9, 0, 7
Let z = -38 - -192/5. Suppose -15*y = -22*y + 21. Let -4/5*d**y - 6/5*d**2 + z*d**4 - 8/5 + 16/5*d = 0. What is d?
-2, 1, 2
Let g(x) be the first derivative of 4/15*x + 1/30*x**4 + 1/3*x**2 - 88 + 8/45*x**3. Let g(f) = 0. What is f?
-2, -1
Let q be (14/42)/((-22)/12 + 2). Factor -18*d**2 + 3*d**2 + 10*d**q + 5.
-5*(d - 1)*(d + 1)
Suppose 432*q - 12951 = -65*q + 468. Let r(b) be the first derivative of -4*b - 1/6*b**3 - 3/2*b**2 + q. Factor r(c).
-(c + 2)*(c + 4)/2
Let t(q) be the second derivative of 13*q**7/336 - 55*q**6/48 + 537*q**5/40 - 153*q**4/2 + 198*q**3 - 81*q**2 + q + 8. Solve t(l) = 0 for l.
2/13, 3, 6
Let n be 27/14886*(-19876)/63. Let t = -2/2481 - n. Factor -6/7*o**3 + 0*o + 2/7*o**4 + t*o**2 + 0.
2*o**2*(o - 2)*(o - 1)/7
Let p(z) be the first derivative of -72 + 1/16*z**4 - 1/8*z**2 + 3/4*z - 1/4*z**3. Let p(v) = 0. What is v?
-1, 1, 3
Suppose 10*k - 132 = 208. Factor -6*x**3 - k*x**5 + 12*x**4 - 36*x**2 + 19*x + 37*x**5 + 8*x.
3*x*(x - 1)**2*(x + 3)**2
Suppose -6*a - 80 = -4*u, -17*u - 3*a - 26 = -12*u. Determine k, given that 0*k - 9/4 + 1/4*k**u = 0.
-3, 3
Let n be (0 - -2) + (2190/75 - 8). Determine o, given that 256/5*o + 14/5*o**3 - 64/5 - n*o**2 = 0.
2/7, 4
Let c(a) be the second derivative of -2 - 76*a - 54/5*a**2 + 1/20*a**4 + 7/2*a**3. Factor c(f).
3*(f - 1)*(f + 36)/5
Let l(y) be the first derivative of 39 - 4/3*y**2 + 1/6*y**4 - 8/9*y**3 + 0*y + 2/15*y**5. Factor l(w).
2*w*(w - 2)*(w + 1)*(w + 2)/3
Let b be 16/(48/21) + (-42)/30 + -5. Factor 3/5*q**2 - 18/5 + b*q.
3*(q - 2)*(q + 3)/5
Let k(p) be the third derivative of -1/4*p**4 + 1/30*p**5 + 0*p - 89*p**2 - 4/3*p**3 + 0. What is h in k(h) = 0?
-1, 4
Let j = -1934 - -1937. Let w(b) be the first derivative of -76/3*b**j + 16*b - 16*b**2 - 15 - 7*b**4. Factor w(p).
-4*(p + 1)*(p + 2)*(7*p - 2)
Let f(t) be the second derivative of t**7/420 - t**6/80 + t**5/40 - t**4/48 - 7*t**2 + 72*t. Let o(x) be the first derivative of f(x). Let o(q) = 0. What is q?
0, 1
Factor 1 + 4*s**3 + s**3 - 1 - 261864*s + 30*s**2 + 261784*s.
5*s*(s - 2)*(s + 8)
Let u = -251 + 248. Let c(l) = l**2 + 5*l + 9. Let s be c(u). Factor -15/2*k**s - 7/2*k**5 + 19/2*k**4 + 0 + 1/2*k**2 + k.
-k*(k - 1)**3*(7*k + 2)/2
Let g(u) be the third derivative of -u**7/280 + u**6/60 + 3*u**5/40 + 17*u**3/3 - 32*u**2 - 2*u. Let f(z) be the first derivative of g(z). Solve f(t) = 0 for t.
-1, 0, 3
Let i(n) be the second derivative of -11/50*n**5 - 1/75*n**6 + n - 13/15*n**3 + 0 + 5/6*n**4 + 0*n**2. Determine a, given that i(a) = 0.
-13, 0, 1
Factor 10/7*v**3 + 0 + 342/7*v - 576/7*v**2.
2*v*(v - 57)*(5*v - 3)/7
Factor 3336*c - 938*c - 928*c - 1146*c + 1360 - 4*c**2.
-4*(c - 85)*(c + 4)
Let k be ((-16)/(-78))/1*51/408*18. Let c be (3/78)/((-1)/(-4)). Let k*n - 6/13*n**3 - 4/13*n**4 + 2/13 + c*n**2 = 0. Calculate n.
-1, -1/2, 1
Suppose -26*x = -16*x - 30. Suppose -5*t + 2*c - c = -24, 0 = x*c + 12. Factor -2/9*y**t - 2/9 + 0*y + 0*y**3 + 4/9*y**2.
-2*(y - 1)**2*(y + 1)**2/9
Determine a, given that -83*a - 3*a**4 - 288*a - 208*a + 231*a**2 - 48*a**3 + 399*a = 0.
-20, 0, 1, 3
Let z(i) be the third derivative of i**7/280 + i**6/24 + i**5/5 + i**4/2 + 19*i**3/6 - 11*i**2. Let d(c) be the first derivative of z(c). Factor d(u).
3*(u + 1)*(u + 2)**2
Let k(f) be the first derivative of 2*f**3 - 46. Let a(i) = -i**3 - 7*i**2 - i. Let s = -7 - -10. Let l(b) = s*k(b) + 2*a(b). Factor l(y).
-2*y*(y - 1)**2
Let m(g) be the third derivative of g**5/120 + 9*g**4/16 - 29*g**3/6 + g**2 - 762*g. Factor m(s).
(s - 2)*(s + 29)/2
Let b(p) = -4*p + 61. Let o be b(17). Let x be o + (5 - (4 + -6)). Factor 0*q**2 + 1/5*q**3 + x*q - 1/5*q**4 + 0.
-q**3*(q - 1)/5
Let l(m) 