ative of n**5/120 - 11*n**4/24 - 73*n**3/36 + 35*n**2/4 - 3202*n. Factor p(w).
(w - 35)*(w - 1)*(w + 3)/6
Solve -24 - 7/5*b**2 - 146/5*b + 4*b**3 + 1/5*b**4 = 0.
-20, -2, -1, 3
Suppose -5*q - 4*n + 68 = 0, 4*q + 18*n - 40 = 22*n. Let -51*f - q*f**2 + 18*f + 20 + 24*f + 2*f**3 + 15*f = 0. What is f?
-1, 2, 5
Let t be (0 + 0)*(-37 + (1 - -37)). Let t - 1/2*z + 2*z**2 = 0. Calculate z.
0, 1/4
Let b(f) be the first derivative of 61 - f**4 - 11353*f**3 + 11353*f**3 + 2*f**2. Factor b(u).
-4*u*(u - 1)*(u + 1)
Suppose 0 = y - 67 + 63. Find x such that 5*x**2 + 72*x - 72*x + 3*x**2 + y*x**3 = 0.
-2, 0
Let h(w) = -2*w**2 - 8*w - 4. Let o be h(-3). Suppose o*t - b = 95, 9*b - 4*b - 31 = -t. Factor -t*x**4 - x + x**2 + 0*x**3 + 45*x**4 + x**3.
-x*(x - 1)**2*(x + 1)
Let m(g) = 68*g - 1897. Let i be m(28). Let q(f) be the second derivative of -1/11*f**2 + 1/33*f**3 + 0 + 1/33*f**4 + i*f. Factor q(o).
2*(o + 1)*(2*o - 1)/11
Let g(f) be the second derivative of -f**5/40 + 36*f**4 - 15552*f**3 - 98*f - 2. Solve g(r) = 0 for r.
0, 432
Let y(k) = -3*k**2 + 8*k + 6. Let p = 14 - 11. Let r be y(p). Factor -3*q**5 + 2*q**3 + 2*q**3 + 3*q**3 - 3*q - q**r.
-3*q*(q - 1)**2*(q + 1)**2
Suppose 70*o = 199*o - 83*o - 92. Let b(w) be the second derivative of 2*w**3 - 3/20*w**5 + 0*w**4 + 0*w**o + 0 - 8*w. What is k in b(k) = 0?
-2, 0, 2
Factor 14/3*f - 12 + 2/3*f**2.
2*(f - 2)*(f + 9)/3
Let g(x) be the first derivative of -4*x**7/21 - 4*x**6/9 - 13*x**5/90 + 5*x**4/27 - x**3/27 + 2*x + 71. Let c(u) be the first derivative of g(u). Factor c(n).
-2*n*(n + 1)**2*(6*n - 1)**2/9
Solve 6*j**2 + 3*j**3 - 8*j**3 + 4*j**2 - j**2 - 14*j**2 = 0.
-1, 0
Solve 22/7*y**3 - 8/7*y**4 + 0 + 0*y - 10/7*y**5 - 4/7*y**2 = 0 for y.
-2, 0, 1/5, 1
Let d = -259/292 + 83/73. Let b(z) be the second derivative of 0 - 24*z**2 - 12*z - 4*z**3 - d*z**4. Solve b(l) = 0.
-4
Factor 98283/2*b**4 - 197109*b**3 + 397479/2*b**2 - 2178*b + 6.
3*(b - 2)**2*(181*b - 1)**2/2
Let s(o) = 1734*o + 19076. Let q be s(-11). Suppose 3/2 - 1/4*r**3 - 1/4*r - r**q = 0. What is r?
-3, -2, 1
Let i(w) be the second derivative of -1/6*w**4 + 8*w**2 + 7/3*w**3 + 0 - 64*w. Factor i(u).
-2*(u - 8)*(u + 1)
Let v = 749 + -1187. Let c = -2188/5 - v. Factor -c*h + 1/5*h**4 + 0 + 0*h**3 - 3/5*h**2.
h*(h - 2)*(h + 1)**2/5
Let w be 2898/(-2079)*-11 - -4*11/(-4). What is m in -7/3*m**4 + 1/3*m - w*m**3 + 0 - 5/3*m**2 = 0?
-1, 0, 1/7
Let v(w) be the third derivative of w**8/1848 + 8*w**7/165 + 11*w**6/10 - 812*w**5/165 + 841*w**4/132 - 385*w**2 - 4. Let v(o) = 0. Calculate o.
-29, 0, 1
Let t(w) be the third derivative of -w**7/105 - w**6/4 - 13*w**5/30 + 5*w**4/4 + 14*w**3/3 - 29*w**2 + 5. Factor t(l).
-2*(l - 1)*(l + 1)**2*(l + 14)
Let h(j) be the third derivative of -j**5/60 - 73*j**4/24 - 105*j**3 + 1466*j**2. What is m in h(m) = 0?
-63, -10
Let j(r) be the first derivative of r**3 - 9/2*r**2 - 12*r - 124. Determine m so that j(m) = 0.
-1, 4
Let v(w) be the second derivative of -w**5/24 + 1685*w**4/72 - 49225*w**3/12 + 317625*w**2/4 + 8982*w. Factor v(q).
-5*(q - 165)**2*(q - 7)/6
Let d be (-1047)/1745 + 49/15 + (3 + -2)*-2. Solve 2/3*x**4 + 0 + 0*x - 4/3*x**3 + d*x**2 = 0 for x.
0, 1
Suppose 0 = -91*v + 95*v - 196. Suppose -12 + 168*t**4 + 59*t**3 - 306*t**2 - 12 - v*t**5 + 0 - 172*t = 0. What is t?
-1, -2/7, 2, 3
Suppose 66*m = 28*m - 33820. Let q = 894 + m. Suppose 11/10*w**2 + 7/10*w**q + 0 + 1/5*w + 8/5*w**3 = 0. Calculate w.
-1, -2/7, 0
Solve -168/19*j**2 + 0 + 170/19*j - 2/19*j**3 = 0 for j.
-85, 0, 1
Let j be 3 - (0 - 0)/((-9)/(-9)). Determine u, given that -231*u**4 + 184*u**j - 581*u + 243*u**4 - 1280 + 620*u**2 - 251*u = 0.
-8, -1, 5/3
Suppose -630 + 846 = 4*p - 4*z, 4*z + 165 = 3*p. Suppose -28*b - 69 = -p*b. Factor 864/7*g - 72/7*g**2 + 2/7*g**b - 3456/7.
2*(g - 12)**3/7
Let k = -6 - -6. Let f(v) = 2*v**3 + 38*v**2 + 3. Let d be f(-19). Let -30*r**2 + 3*r**3 + 33*r**2 - d*r - 3*r**4 + k*r**4 = 0. What is r?
-1, 0, 1
Let y(z) be the first derivative of 5*z**5 - 5/3*z**3 + 5/4*z**4 + 149 + 0*z + 0*z**2 + 5/2*z**6. Find j, given that y(j) = 0.
-1, 0, 1/3
Let d be (-286)/(-13) + -3 + (1 - 2). Suppose -3*t = -8*t - y + d, -4*y = 2*t. Suppose 11/5*o**2 + 6/5*o**3 + 6/5*o + 0 + 1/5*o**t = 0. Calculate o.
-3, -2, -1, 0
Let m = 740956/3525 + -157/1175. Let i = m + -1037/5. Factor -i*p + 0 + 4/3*p**2.
4*p*(p - 2)/3
Let i(w) be the second derivative of 3*w**5/100 - 107*w**4/20 + 2*w + 2647. Solve i(k) = 0.
0, 107
Let i(f) be the first derivative of -f**3/8 + 75*f**2/16 + 87*f/2 + 771. Suppose i(z) = 0. What is z?
-4, 29
Let u(l) be the second derivative of -l**7/168 - 13*l**6/10 + 317*l**5/40 - 239*l**4/12 + 213*l**3/8 - 20*l**2 - 331*l. Factor u(r).
-(r - 1)**4*(r + 160)/4
Suppose 0 = 117*t + 30*t + 18 - 459. Suppose -12/7*x + 2/7*x**t - 2/7*x**2 + 0 = 0. What is x?
-2, 0, 3
Suppose -2*w + 59 = -6*w + 5*i, w + 4*i - 1 = 0. Let g = 13 + w. Factor -7*p**2 + p**3 + 3*p**3 + 20*p - 13*p**g + p**3.
5*p*(p - 2)**2
Let t(g) = -3*g + 570. Let d be t(190). Let d*f - 2/3*f**5 - 32/9 + 8/3*f**3 - 14/9*f**4 + 64/9*f**2 = 0. What is f?
-2, -1, 2/3, 2
Let t(z) be the first derivative of 5*z**3/3 + 11820*z**2 + 27942480*z + 8182. Factor t(o).
5*(o + 2364)**2
Let p(m) be the first derivative of 48/35*m**5 - 32/21*m**6 + 64/7*m**4 - 128 + 16/7*m + 0*m**2 - 28/3*m**3. Find r, given that p(r) = 0.
-2, -1/4, 1/2, 2
Let j(n) be the third derivative of n**5/150 - 137*n**4/60 + 136*n**3/15 + 52*n**2 - 16*n. Solve j(g) = 0.
1, 136
Suppose 2 = l - c, -5*c + 231 = -l + 241. Let y(u) be the second derivative of 5/3*u**4 + 0 - 2*u + 0*u**3 + 169/6*u**6 + 13*u**5 + l*u**2. Factor y(p).
5*p**2*(13*p + 2)**2
Let g(o) be the second derivative of -o**6/150 + 9*o**5/20 - 159*o**4/20 - 161*o**3/6 + 1587*o**2/5 - o - 111. Factor g(q).
-(q - 23)**2*(q - 2)*(q + 3)/5
Find w, given that 18*w**2 + 4*w + 17*w**3 - 12*w**2 - 4*w - 26*w**3 = 0.
0, 2/3
Let q(c) = -5*c + 39. Let a be (-10 + (1 - -2))/(1 + -2). Let o be q(a). Factor -x + 25*x**3 - 7*x**2 + 10*x**o + 0*x + 27*x**2 + 6*x.
5*x*(x + 1)**2*(2*x + 1)
Let v(f) be the third derivative of -f**7/210 + 7*f**6/160 + 11*f**5/120 - 7*f**4/32 - 3*f**3/4 + 3*f**2 + f - 96. Let v(z) = 0. What is z?
-1, -3/4, 1, 6
What is a in 4315*a**2 - 2289*a**2 - 276 - 420*a - 3*a**3 - 2173*a**2 = 0?
-46, -2, -1
Let b(u) be the first derivative of -u**6/105 - 6*u**5/35 - 11*u**4/42 + 130*u + 231. Let o(g) be the first derivative of b(g). Factor o(c).
-2*c**2*(c + 1)*(c + 11)/7
Let o = 14 - 16. Let x be 1 + o + 8/2. Let b(k) = -20*k**2 - 12*k - 4. Let h(v) = -20*v**2 - 11*v - 3. Let t(c) = x*b(c) - 4*h(c). Find w, given that t(w) = 0.
-2/5, 0
Let y be 14/2 - (-989 - (-10 - -7)). Let c = y + -991. Determine h, given that 0*h**c + 2/7*h**3 + 4/7 - 6/7*h = 0.
-2, 1
Let o = -94171/36 - -2616. Let p(w) be the second derivative of -1/6*w**5 + 0*w**2 - 1/18*w**6 + 0 - 14*w + 0*w**3 - o*w**4. Suppose p(g) = 0. What is g?
-1, 0
Let q(c) be the third derivative of c**6/420 + 5*c**5/42 + 181*c**2 + c. Factor q(x).
2*x**2*(x + 25)/7
Solve -71/3*p**3 + 0 - 74*p**4 - 49/6*p + 122/3*p**2 - 3/2*p**5 = 0.
-49, -1, 0, 1/3
Let n = 6 + -4. Suppose 110*f + 60 - 556 = -56. Factor f + 0*t**n + 14/3*t - 2/3*t**3.
-2*(t - 3)*(t + 1)*(t + 2)/3
Factor -1274*z**2 - 1840*z - 1383*z**2 + 2662*z**2.
5*z*(z - 368)
Let v(j) = -j**2 - 5*j + 6. Let g(h) be the third derivative of h**5/30 + 5*h**4/24 - 7*h**3/6 + 36*h**2. Let c(z) = 4*g(z) + 3*v(z). Let c(d) = 0. What is d?
-2, 1
Let x(w) be the second derivative of w**5/5 + 13*w**4/3 + 20*w**3/3 - 48*w**2 + w - 242. Factor x(u).
4*(u - 1)*(u + 2)*(u + 12)
Let c(b) be the first derivative of 6*b**5/25 - 9*b**4/5 - 414*b**3/5 + 1944*b**2/5 + 69984*b/5 - 15. What is u in c(u) = 0?
-9, 12
Let m = 5523/5 + -1103. Let z(i) be the first derivative of m*i - 1 - 2/5*i**4 - 4/3*i**3 - 2/5*i**2. Let z(f) = 0. Calculate f.
-2, -1, 1/2
Let y(v) = 2*v**4 + v**3 - 16. Let f(q) = -29*q**4 - 8642*q**3 - 744766*q**2 + 298944*q - 29897. Let n(g) = -f(g) - 2*y(g). Factor n(u).
(u + 173)**2*(5*u - 1)**2
Let s be 17 - (13 - 5) - (-1 - -1). Suppose s*u = 11*u - 2*g + 4, -2*u - 3*g + 16 = 0. Factor 2/13*o**5 + 0 + 0*o + 0*o**u + 8/13*o**4 + 8/13*o**3.
2*o**3*(o + 2)**2/13
Let f(u) be the third derivative of -u**8/280 - 16*u**7/525 - 3*u**6/100 