(y) = y**2 - 56*y - 389. Let u(r) = h*c(r) + 6*i(r). Factor u(v).
4*(v + 14)**2
Suppose -458*z - 256 = -522*z. Suppose 0*j + 0 + 0*j**3 - 2/11*j**z + 8/11*j**2 = 0. What is j?
-2, 0, 2
Let q(f) be the first derivative of -f**4/12 - 7*f**3/6 - 6*f**2 + 19*f + 56. Let i(z) be the first derivative of q(z). Factor i(u).
-(u + 3)*(u + 4)
Let d(x) be the second derivative of x**4/54 + 98*x**3/9 + 2401*x**2 - 1404*x. Let d(s) = 0. What is s?
-147
Let y(m) be the third derivative of 3*m**6/80 + 173*m**5/8 - 201*m**4 - 292*m**3 - 9*m**2 + 7*m + 10. Find r such that y(r) = 0.
-292, -1/3, 4
Let c = 175842 + -175836. Factor 3 + 3*v**2 + 6*v**3 - c*v**4 - 15/2*v + 3/2*v**5.
3*(v - 2)*(v - 1)**3*(v + 1)/2
Let z(r) be the third derivative of r**5/60 - 433*r**4/24 + 72*r**3 + 435*r**2 + 3*r. Let z(l) = 0. Calculate l.
1, 432
Find b, given that 90*b**2 - 19258*b**5 + 101*b**4 - 285*b**3 + 179*b**4 + 19178*b**5 = 0.
0, 3/4, 2
Find o, given that -49 - 1/6*o**3 - 133/6*o - 10/3*o**2 = 0.
-7, -6
Let v(t) = -t**3 + t**2 + 64*t - 163. Let k(n) = n**3 - n**2 - 120*n + 327. Let a(g) = -3*k(g) - 7*v(g). Factor a(z).
4*(z - 4)*(z - 2)*(z + 5)
Let n = 23767 - 71296/3. Let r(b) be the first derivative of -5*b**2 - 29 + 5/4*b**4 + n*b**3 + 0*b. Factor r(q).
5*q*(q - 1)*(q + 2)
Let w(p) = -13*p**2 - 153*p - 696. Let g(s) = -16*s**2 - 155*s - 695. Let a(b) = 8*g(b) - 10*w(b). Factor a(j).
2*(j + 5)*(j + 140)
Let t be 6/2 + 8/24*-3. Let d(r) be the second derivative of 4/3*r**3 - 9*r + 0 + 5/6*r**4 + 0*r**t + 1/10*r**5. Find c, given that d(c) = 0.
-4, -1, 0
Factor -1/4*k**4 - 13/2*k - 41/4*k**2 - 4*k**3 + 0.
-k*(k + 1)*(k + 2)*(k + 13)/4
Find f such that 3/7*f**2 - 1/7*f**4 - 162/7 - 171/7*f + 11/7*f**3 = 0.
-3, -1, 6, 9
Let k(l) be the second derivative of -l**6/180 + 5*l**5/12 - 275*l**4/24 + 1250*l**3/9 - 2500*l**2/3 - 633*l. Suppose k(x) = 0. Calculate x.
5, 20
Factor 5/3*y**3 + 6355/3*y + 24025/3 + 335/3*y**2.
5*(y + 5)*(y + 31)**2/3
Let b(f) be the third derivative of f**6/420 - f**5/42 - 11*f**4/42 + 8*f**3/3 - 321*f**2 + f. Let b(s) = 0. What is s?
-4, 2, 7
Factor 0 - 8/7*w**2 + 2/7*w**3 + 6/7*w.
2*w*(w - 3)*(w - 1)/7
Let o(d) be the second derivative of -8/3*d**3 + 70*d + 0*d**2 + 0 - 1/3*d**4. Factor o(l).
-4*l*(l + 4)
Let a be 2*(-1)/(-3)*(26 + -23). Suppose -8 = -3*c - 2*r, 6*c - a*r + 8 = 5*c. Factor 8/5*i**2 + 6/5*i + 2/5*i**3 + c.
2*i*(i + 1)*(i + 3)/5
Let z(y) be the third derivative of y**2 - 3/20*y**6 + 1/3*y**5 + 0*y - 1/336*y**8 + 0*y**3 + 21 - 1/3*y**4 + 1/30*y**7. Factor z(v).
-v*(v - 2)**3*(v - 1)
Determine b, given that -5*b**3 + 11*b + 0 + 1/2*b**4 - 13/2*b**2 = 0.
-2, 0, 1, 11
Let h = -95 - -99. Solve -2*i**h - 11*i - 13*i + 32*i - 3*i**3 - 16*i**2 - 2*i**3 + 15*i**3 = 0 for i.
0, 1, 2
Let n(c) = -c**3 + 35*c**2 - 15*c + 37. Let x be n(34). Let z = x - 1359/2. Factor -1/6*b**3 + 4/3*b**2 + 3 - z*b.
-(b - 3)**2*(b - 2)/6
Let h be ((-155)/(-2))/(33/(-44)*-38). Let v = h - 20/19. Factor -v + 4/3*m + 1/3*m**2.
(m - 1)*(m + 5)/3
Suppose -4*y - 5*m = -2, y = -m - 3*m - 5. Suppose -5*j = -y*j - 22. Factor -9 + 25*g**3 - j - 64*g**2 + 80*g - 21*g**2.
5*(g - 2)*(g - 1)*(5*g - 2)
Let q(v) be the second derivative of 0*v**3 + 1/8*v**4 + 1/40*v**6 + 0*v**2 - 11/80*v**5 + 0 - 74*v. Determine f, given that q(f) = 0.
0, 2/3, 3
Let x(b) = -b**2 + 3*b**4 + 23*b**4 + b**3 + 2*b**4 - 21*b**4 - b. Let i(l) = 6*l**4 + 2*l**3 - 2*l**2 - 2*l. Let c(k) = -3*i(k) + 2*x(k). Factor c(z).
-4*z*(z - 1)*(z + 1)**2
Let p(t) be the second derivative of -6*t**4 - 432*t**2 - 72*t**3 + 0 - 1/5*t**5 - 58*t. Let p(x) = 0. What is x?
-6
Factor 27/5*a**3 + 18/5 + 57/5*a + 63/5*a**2 + 3/5*a**4.
3*(a + 1)**3*(a + 6)/5
Let v(j) = 29*j**2 - 20*j + 20. Let m(k) = -5*k**2 + 2*k. Let i(q) = 6*m(q) + v(q). Factor i(u).
-(u - 2)*(u + 10)
Determine s, given that -1/2*s**2 - 27*s - 153/2 = 0.
-51, -3
Let d be (-6648)/(-9) + (-1)/(-3). Suppose 8*z**3 - 3 - z**2 + 741*z - d*z + 14*z**2 = 0. What is z?
-1, 3/8
Let v(b) = -1323*b**4 - 5313*b**3 + 87*b**2 + 9. Let c(w) = -331*w**4 - 1328*w**3 + 22*w**2 + 2. Let y(u) = 9*c(u) - 2*v(u). Factor y(r).
-3*r**2*(r + 4)*(111*r - 2)
Let q(s) be the first derivative of 2*s**3/63 + 491*s**2/21 - 1972*s/21 - 5088. Determine n so that q(n) = 0.
-493, 2
Let s be -2 + -2 + (-2 - -10). Solve -4*r**4 - 4*r**2 + s + 127*r**2 + 128*r**3 - 4 + 9*r**2 = 0.
-1, 0, 33
Let f be (-20)/(-8)*(-14)/(-7). Suppose 2*s**4 + s**f + 7*s**5 + 0*s**4 - 4*s**3 + 2*s**4 = 0. What is s?
-1, 0, 1/2
Let p = 1/20496 - 20455013/102480. Let r = p + 200. Suppose 0*n - 1/5 - r*n**3 + 3/5*n**2 = 0. What is n?
-1/2, 1
Let k(t) = 18*t**2 - 18*t + 64. Let c(j) = 788*j**2 + 0*j + 0*j + j - 790*j**2. Let u(g) = -10*c(g) - k(g). Let u(v) = 0. Calculate v.
-8, 4
Let q(c) be the second derivative of -c**5/40 + 11*c**4/24 - 10*c**3/3 + 12*c**2 + 70*c - 2. Factor q(r).
-(r - 4)**2*(r - 3)/2
Suppose 0 = -3*s + 3*z + 21, 40*s + 2*z = 45*s - 26. Let j(m) be the second derivative of -1/6*m**3 - 1/48*m**s - 3/8*m**2 - 20*m + 0. Factor j(g).
-(g + 1)*(g + 3)/4
Let v be (-2 - (-13)/2)*(-32)/896. Let q = v + 251/168. Suppose q*y**2 + 2/3*y + 2/3*y**3 + 0 = 0. Calculate y.
-1, 0
Let c(z) = -10*z**2 - 2536*z + 781238. Let o(q) = q**2 + 3*q + 1. Let b(r) = -c(r) - 12*o(r). Let b(s) = 0. What is s?
625
Let t be (2/10)/((46851/(-105))/23 + 20). Determine q, given that t*q**2 + 11/3*q - 4 = 0.
-12, 1
Let w(t) be the first derivative of t**5/20 - 51*t**4/16 + 247*t**3/4 - 361*t**2/8 - 20577*t/2 + 4575. Factor w(y).
(y - 19)**3*(y + 6)/4
Suppose 0 - 27/2*r**5 + 101/2*r**3 + 42*r**4 - 4*r - 9*r**2 = 0. What is r?
-1, -2/9, 0, 1/3, 4
Let m be 8/(-20) - (-4)/10. Let y(t) = -220*t + 14082. Let v be y(64). Suppose 0*g - 3/2*g**3 + m - 3*g**4 + 0*g**v = 0. Calculate g.
-1/2, 0
Let x(i) = 12*i**4 + 35*i**3 + 70*i**2 + 64*i + 20. Let z(v) = -22*v**4 - 68*v**3 - 139*v**2 - 129*v - 41. Let q(n) = 7*x(n) + 4*z(n). Factor q(j).
-(j + 2)**3*(4*j + 3)
Suppose -24*n + 20*n = -32. Suppose 7*i - n = 3*i. Factor -16*v**3 + 0*v**3 + 43*v**4 - 4*v**i - 8*v**5 - 63*v**4.
-4*v**2*(v + 1)**2*(2*v + 1)
Factor -2/7*u**4 + 8/7*u + 8/7*u**2 - 2/7*u**3 + 0.
-2*u*(u - 2)*(u + 1)*(u + 2)/7
Let d(i) = -5*i**2 - 494*i + 243. Let q(k) = -11*k**2 - 987*k + 484. Let c(p) = 7*d(p) - 3*q(p). Solve c(a) = 0 for a.
-249, 1/2
Let z = -339 + 342. Suppose 40*g - 35*g**2 + g**3 + 80 + 16*g**z - 12*g**3 = 0. What is g?
-1, 4
Find q such that 0 + 27/8*q**2 - 267/8*q**4 - 45/8*q**5 + 0*q - 387/8*q**3 = 0.
-3, 0, 1/15
Let k = 110 - 82. Suppose 5*s = 4*n - k, -14 = 6*n - 5*n + 4*s. Find q such that 8*q**n + 10*q**3 - 41*q**3 + 16*q**3 - 4*q + 11*q**3 = 0.
0, 1
Let w(z) = -3*z**4 + 5*z**3 + 3*z**2 - 3*z. Suppose 5*s + 89 = 79. Let t(y) = -y**3. Let f(b) = s*t(b) - w(b). What is k in f(k) = 0?
-1, 0, 1
Factor -372/13*h**2 - 376/13*h - 126/13 + 2/13*h**4 - 120/13*h**3.
2*(h - 63)*(h + 1)**3/13
Let z(a) be the first derivative of -a**6/5 + 14*a**5/5 - 18*a**4/5 - 64*a**3/3 + 192*a**2/5 + 32*a - 964. Determine m so that z(m) = 0.
-2, -1/3, 2, 10
Let b(t) = 3*t**2 + 538*t - 13286. Let p be b(22). Factor -56/9*w + 44/3 + 4/9*w**p.
4*(w - 11)*(w - 3)/9
Suppose -2*n - n - 11 = -5*h, 0 = -h + 5*n - 11. Let 2*i + 10*i**2 - h*i - 8*i**2 + 0*i**2 = 0. Calculate i.
0, 1
Let 12535*c**5 - 6228*c**5 + 38660*c**3 + 5120 + 38720*c - 6062*c**5 + 83360*c**2 + 6020*c**4 = 0. Calculate c.
-16, -4, -2/7
Determine a, given that -29*a**2 + 31*a**2 - 62 - 52*a + 8 = 0.
-1, 27
Factor 2947592/5 + 2/5*o**2 - 4856/5*o.
2*(o - 1214)**2/5
Suppose 0 = 3*l - 0 - 6. Let b be ((-4)/20)/((-77)/(-13750)*-5). Factor b - 18/7*j**l + 2/7*j**3 + 30/7*j.
2*(j - 5)**2*(j + 1)/7
Let s(x) be the second derivative of x**5/100 - 7*x**4/15 + 26*x**3/15 + 775*x + 2. Factor s(f).
f*(f - 26)*(f - 2)/5
Let c(s) be the third derivative of -s**6/80 + 7*s**5/10 - 167*s**4/16 + 35*s**3 + 869*s**2 + 2. Let c(p) = 0. What is p?
1, 7, 20
Solve -224*t - 3 + 431*t**2 + 3 - 435*t**2 = 0 for t.
-56, 0
Let q(r) be the third derivative of r**8/784 - 311*r**7/490 - 6*r**2 + r + 1. Factor q(b).
3*b**4*(b - 311)/7
Let v(i) = 40*i**2 - 2*i**3 - 4*i + 3 - 41*i**2 + 0*i**3. Let p be v(0). Solve -35 - 15 + o**2 - p*o**2 - 44*o + 64*o = 0.
5
Let l = -290 + 290. Let m(h) be the second derivative of 1/70*h**5 - 2/21*h**4 + l - 23*h + 0*h**3