 = -o**2 - 15*o - 56. Let d be g(-10). Let a be ((-5)/d)/((-9)/(-54)). Factor 13/8*i**3 - 3/2*i**2 - 3/4*i**4 + 0 + 1/2*i + 1/8*i**a.
i*(i - 2)**2*(i - 1)**2/8
Suppose -2*w + 31 = 25. Factor -9*y - 4*y**2 + 0*y**5 + 2*y + w*y + 4*y**4 + 2*y**5 + 2*y.
2*y*(y - 1)*(y + 1)**3
Suppose 4*p - 6*p = -p. Factor -33*q**2 + 2*q - 6*q + 35*q**2 + p*q.
2*q*(q - 2)
Let p(a) = -144*a**4 - 1005*a**3 - 828*a**2 + 303*a. Let r(t) = 34*t**4 + 232*t**3 + 191*t**2 - 70*t. Let z(f) = 7*p(f) + 30*r(f). Find q, given that z(q) = 0.
-1, 0, 1/4, 7
Let z(h) be the second derivative of h**5/20 + 23*h**4/12 + 57*h**3/2 + 405*h**2/2 + 3*h - 20. Solve z(i) = 0.
-9, -5
Suppose -5*l = 40*z - 36*z - 110, 4*l - 76 = -2*z. Factor -l*w**5 + 0*w + 0 - 8/7*w**2 - 64/7*w**3 - 22*w**4.
-2*w**2*(w + 1)*(7*w + 2)**2/7
Let b(o) = 7*o**2 + 1598*o + 2045. Let q be b(-227). Solve -3/5*v**q + 12/5*v + 36/5 = 0 for v.
-2, 6
Factor 2500/3 + 2300/3*k + 215*k**2 + 1/3*k**4 + 62/3*k**3.
(k + 2)*(k + 5)**2*(k + 50)/3
Let a be (-11)/(44 + -33) - -2*(-5)/(-4). Determine g, given that -a - 3/2*g**2 - 1/4*g**3 - 11/4*g = 0.
-3, -2, -1
Suppose 2*w = 3*z + 13, -z - 3 + 0 = 0. Suppose 0 = 30*h - w + 2. Let -5/3*p**4 + h - 5/3*p + 5/3*p**2 + 5/3*p**3 = 0. Calculate p.
-1, 0, 1
Suppose -19682 + 73*f - 36*f**2 - 29727 + 171*f**2 + 3*f**3 + 188*f + 16610 = 0. What is f?
-29, 13
Let m = 27826 - 27820. Let l(v) be the third derivative of -1/120*v**m + 0*v**4 + 13*v**2 + 0 + 2/3*v**3 - 1/20*v**5 + 0*v. Factor l(r).
-(r - 1)*(r + 2)**2
Let m(s) = -s**5 + s**4 - s**3 + s**2 - s - 1. Let k(z) = 15*z**5 - 18*z**4 - 6*z**3 + 9*z**2 - 9*z - 9. Let f(r) = k(r) - 9*m(r). Factor f(y).
3*y**3*(y - 1)*(8*y - 1)
Let m be 10/(-16)*(-4 - -1 - 5). Let v(a) be the second derivative of 19*a - 8/3*a**2 - 1/3*a**4 + 1/30*a**m + 0 + 4/3*a**3. Factor v(u).
2*(u - 2)**3/3
Factor 276/5*b - 2/5*b**2 - 544/5.
-2*(b - 136)*(b - 2)/5
Let p(q) be the first derivative of 5*q**4/4 - 75*q**3 - 765*q**2 - 5865. Factor p(v).
5*v*(v - 51)*(v + 6)
Suppose -400*v - 794/3*v**2 - 2/3*v**4 + 0 + 404/3*v**3 = 0. Calculate v.
-1, 0, 3, 200
Let b(u) be the third derivative of -49*u**5/40 + 651*u**4/8 - 8649*u**3/4 - 875*u**2. Solve b(w) = 0 for w.
93/7
Let m(n) = 4*n**3 - 23*n**2 - 9*n - 202. Let t(u) = 3*u**3 + 23*u**2 - 7*u - 203. Let p(v) = -4*m(v) + 5*t(v). Factor p(r).
-(r - 207)*(r - 1)*(r + 1)
Let k(o) be the second derivative of o**4/3 - 44*o**3/3 - 137*o + 3. Solve k(p) = 0 for p.
0, 22
Let c(u) be the third derivative of 0*u + 6*u**2 + 4 + 1/36*u**4 - 1/180*u**5 - 1/360*u**6 + 0*u**3. Solve c(h) = 0.
-2, 0, 1
Let l(b) be the first derivative of 5/4*b**4 - 63 + 60*b + 70/3*b**3 + 125/2*b**2. Suppose l(x) = 0. What is x?
-12, -1
Let x = 536 - 533. Suppose 0 = -2*u - 5*q + 9, 14 - 7 = 5*u - x*q. Let 216/17*n - 36/17*n**u - 432/17 + 2/17*n**3 = 0. Calculate n.
6
Let m be 6/48 + (20619/24)/3. Let b = 287 - m. Solve 2*j**4 + 33/8*j**2 - 7/2*j + 7*j**3 + b = 0 for j.
-2, 1/4
Let u(h) be the second derivative of h**6/960 - 11*h**5/320 + 9*h**4/32 - 7*h**3/2 + 2*h**2 + h + 111. Let y(k) be the second derivative of u(k). Factor y(x).
3*(x - 9)*(x - 2)/8
Let m(z) be the third derivative of -32*z**8/189 + 736*z**7/945 + 19*z**6/108 + z**5/90 - 1319*z**2. Suppose m(r) = 0. What is r?
-1/16, 0, 3
Let t(v) be the first derivative of -v**6/3 + 22*v**5/5 - 12*v**4 - 8619. Factor t(p).
-2*p**3*(p - 8)*(p - 3)
Find j, given that -119*j + 141/2 - 1/2*j**4 + 26*j**2 + 23*j**3 = 0.
-3, 1, 47
Let t(i) be the third derivative of i**5/80 + 31*i**4/8 + i**2 + 139*i. Suppose t(a) = 0. Calculate a.
-124, 0
Let y be (13 + 105/(-15))*17/6. Suppose 5*p + d - y = -0*d, -3*p = -9*d + 9. Factor -3/2*j**3 + 0 - p*j + 9/2*j**2.
-3*j*(j - 2)*(j - 1)/2
What is r in -2*r**4 + 304 + 92*r - 167*r**2 + 173/4*r**3 - 1/4*r**5 = 0?
-19, -1, 4
Let v(d) be the first derivative of -4*d**3/3 - 4636*d**2 - 5373124*d + 3871. Factor v(x).
-4*(x + 1159)**2
Let c be 456/14 - (-76)/(-133). Suppose c = -r + 9*r. Factor 0*z**4 + 6*z**4 - r*z**3 - 2*z - 6*z**2 + 6*z**3.
2*z*(z - 1)*(z + 1)*(3*z + 1)
Let m(c) be the second derivative of -c**6/15 - 3*c**5/5 + 23*c**4/6 + 20*c**3 + 32*c**2 - 1960*c. Find g, given that m(g) = 0.
-8, -1, 4
Let 2/5*x**4 + 76/5*x - 32/5 + 8/5*x**3 - 54/5*x**2 = 0. Calculate x.
-8, 1, 2
Suppose 0 - 45/2*s - 3/4*s**4 + 33/4*s**2 + 3*s**3 = 0. Calculate s.
-3, 0, 2, 5
Factor 406/9*v - 12*v**2 - 100/3 + 2/9*v**3.
2*(v - 50)*(v - 3)*(v - 1)/9
Let w(a) = 36*a - 96. Let f(n) = n**2 - n + 1. Suppose -2*i = 3*i - 10. Suppose -3*r - 3*d = 24, -i*r = d + 2*d + 20. Let q(p) = r*f(p) + w(p). Factor q(k).
-4*(k - 5)**2
Let l be 4/12 + (239/75)/((-288)/30). Let p(d) be the third derivative of l*d**6 + 0 + 0*d - 7*d**2 + 1/60*d**5 + 5/144*d**4 + 0*d**3. Let p(y) = 0. What is y?
-5, -1, 0
Let h be (5 - 6)*-1*(9 + 2). Suppose -20*v - 11 = -h. Factor 1/5*m**3 + v - 2/5*m - 1/5*m**2.
m*(m - 2)*(m + 1)/5
Let y(s) be the first derivative of s**5/100 - 7*s**4/40 - 9*s**3/5 - 21*s**2/2 - 19. Let i(m) be the second derivative of y(m). Let i(j) = 0. What is j?
-2, 9
Let n(j) be the second derivative of -j**6/300 + j**5/15 - 8*j**4/15 + 32*j**3/15 + 115*j**2 - 21*j - 3. Let t(d) be the first derivative of n(d). Factor t(s).
-2*(s - 4)**2*(s - 2)/5
Suppose 5 = 4*m - 11. Suppose 0 = 4*v - 20, 0 = 2*l - m*v - v + 19. Factor 0*c**5 + 4*c**2 + 24 - 5*c**5 + 5*c**4 + 10*c**l - 19 - 14*c**2 - 5*c.
-5*(c - 1)**3*(c + 1)**2
Let q(k) = 4*k**4 + 2*k**3 + k - 1. Let l(p) = 33*p**4 + p**3 - 54*p**2 + 4*p + 64. Let j(i) = -5*l(i) + 40*q(i). Factor j(f).
-5*(f - 18)*(f - 1)*(f + 2)**2
Let z(l) be the third derivative of l**8/168 - 79*l**7/315 + 473*l**6/180 - 269*l**5/90 - 665*l**4/9 + 100*l**3 + 2256*l**2. Suppose z(q) = 0. Calculate q.
-2, 1/3, 5, 18
Let o be ((-9)/(-54))/(22/(-99)*(-3)/8). Determine b, given that 3 - 3/4*b**3 + 3*b - 3/4*b**o = 0.
-2, -1, 2
Let u(p) be the third derivative of -729*p**8/56 - 255069*p**7/35 - 56592*p**6/5 - 37708*p**5/5 - 25132*p**4/9 - 5584*p**3/9 - 8078*p**2. Factor u(a).
-2*(a + 349)*(9*a + 2)**4/3
Suppose -62*r = 5*r - 18*r + 25*r. Factor -5/2*j**4 + r*j + 1/2*j**5 + 0 + 5/2*j**2 - 1/2*j**3.
j**2*(j - 5)*(j - 1)*(j + 1)/2
Let x(k) be the third derivative of -7*k**6/30 + 2*k**5/15 + 14*k**4/3 - 16*k**3/3 + 6*k**2 + 189*k + 1. Factor x(q).
-4*(q - 2)*(q + 2)*(7*q - 2)
Factor 188 - 2/5*o**2 - 466/5*o.
-2*(o - 2)*(o + 235)/5
Factor 0 + 2/7*p + 0*p**2 + 0*p**4 + 2/7*p**5 - 4/7*p**3.
2*p*(p - 1)**2*(p + 1)**2/7
Suppose -7*j + 2*j = -15. Suppose 6*c = 15 + j. Factor -c*s**5 + 15*s**2 - 9*s**3 - 6*s**5 - 2*s + 29*s**4 - 24*s**3.
-s*(s - 1)**3*(9*s - 2)
Let q(g) be the second derivative of 2*g**7/63 + 122*g**6/45 - g**5/5 - 185*g**4/9 - 244*g**3/9 + 4*g - 1453. Solve q(p) = 0 for p.
-61, -1, 0, 2
Let w be (1*(-5)/(5 - 25))/(0 - -1). Let q(u) be the second derivative of 5/24*u**4 + 0 - 1/2*u**3 + 22*u + w*u**2. Factor q(l).
(l - 1)*(5*l - 1)/2
Let y(n) be the first derivative of n**4/3 + 220*n**3/9 - 1175*n**2/6 + 500*n - 2179. Factor y(g).
(g + 60)*(2*g - 5)**2/3
Let s = -458 - -466. Determine h, given that 54*h**4 - 118*h**4 - s*h**3 + 60*h**4 = 0.
-2, 0
Let j(v) = v**3 - 29*v**2 - 294*v - 14. Let z be j(37). Let h be (-1)/(-4) - z/(-240). Let -1/2 + c - h*c**2 = 0. What is c?
1
Find n, given that 24/7 - 9/7*n**4 - 3*n**3 + 3*n**2 + 3/7*n**5 + 54/7*n = 0.
-1, 2, 4
Let r = -270 - -279. Let o be ((-858)/90 + 9)/((-6)/r). Find d, given that -o*d - 1 + 1/5*d**2 = 0.
-1, 5
Suppose -22 = -9*h + 23. Suppose f - 4*f - 15 = 0, -2*i + 25 = h*f. Suppose -49*k + 20 + i*k**2 - 5*k**3 + 3*k + 6*k = 0. Calculate k.
1, 2
Suppose -22*c + 23 + 65 = 0. Let b(i) be the first derivative of -3/2*i**c + 0*i**2 + 3/5*i**5 - 8 + 0*i + 0*i**3. Let b(h) = 0. Calculate h.
0, 2
Let x(h) be the first derivative of -1/180*h**5 - 1/9*h**3 + 0*h - 2 + 1/24*h**4 + 13/2*h**2. Let y(s) be the second derivative of x(s). Factor y(g).
-(g - 2)*(g - 1)/3
Suppose 3*c = -r - 2 + 9, -r - 5 = 0. Determine n so that -2*n + 70 + 3*n**2 - 70 + 0*n**2 - n**c = 0.
-2, 0, 1
Let p = -966699/7 - -138103. Factor 2/7*q**3 + 12/7*q**2 + p*q + 12/7.
2*(q + 1)*(q + 2)*(q + 3)/7
Factor 63*g**2 + 2573*g**3 - 1366*g**3 - 1210*g**3.
-3*g**2*(g - 21)
Let v(c) = 0*c + 2 + 3 - 8*c**2 + c + 13*c**2. Let z(a) be the first derivative of a**3/