*(l + 1)**2*(l + 5)
Let x(y) = 11*y**3 - 108*y**2 - 510*y - 512. Let q(o) = -2*o**3 - 4*o**2 - o. Let j(s) = -30*q(s) - 5*x(s). Factor j(g).
5*(g + 2)**2*(g + 128)
Suppose 5*o - 41 = -1. Let g(m) = 12*m - 283. Let v be g(24). Factor -o*z + 2*z**4 - 6*z**4 + z**2 + 2*z + v*z**4 + 4*z**3.
z*(z - 1)*(z + 2)*(z + 3)
Let h(o) = -617*o - 617. Let v be h(-1). Let w(n) be the second derivative of v + 0*n**4 + 2/21*n**3 + 0*n**2 - 1/35*n**5 + 18*n. Factor w(r).
-4*r*(r - 1)*(r + 1)/7
Determine o, given that -182*o + o**2 + 251*o - 67*o - 323 = 0.
-19, 17
Let u = -148279/2 + 74141. Solve 3/2*t**2 - 3/2*t**4 - u*t**3 + 0 + 3/2*t = 0.
-1, 0, 1
Suppose 19*r**3 - 5*r**4 - 5679*r - 11393*r - 117045 + 1210*r**2 + 4832*r - 25*r**3 + 86*r**3 = 0. Calculate r.
-9, 17
Let u(k) = -k + 13. Let o(r) = r - 14. Let l(w) = -3*o(w) - 4*u(w). Let s be l(17). Factor 4 + 0 + 6*b**2 - s*b**2.
-(b - 2)*(b + 2)
Let c(l) be the third derivative of l**5/300 - 53*l**4/60 + 392*l**3/15 + 25*l**2 - 10. Factor c(o).
(o - 98)*(o - 8)/5
Let t be 95 - (6 - (5 + 8)). Let f be t/(-22) - (-3 + 4 + -6). Factor -2/11*u**3 + 4/11*u**2 + 2/11*u - f.
-2*(u - 2)*(u - 1)*(u + 1)/11
Let w be 3*((-2)/(-6) - 1) + 1. Let m be w/(15 + -18 - (-3)/4). Determine i, given that -64/9*i**2 + 56/9*i**3 + m*i**5 + 4*i - 8/9 - 8/3*i**4 = 0.
1, 2
Let x(l) be the first derivative of l**4/3 - 3292*l**3/9 + 3286*l**2/3 - 3284*l/3 + 3748. Factor x(g).
4*(g - 821)*(g - 1)**2/3
Let w(o) be the first derivative of -8*o**3 - 23/2*o**2 + 0*o - 159 - 1/4*o**4. Factor w(v).
-v*(v + 1)*(v + 23)
Let b be (2 + 16)*84/756. Factor b*i**4 + 7*i**2 - 19/2*i**3 + 0*i + 0 + 1/2*i**5.
i**2*(i - 2)*(i - 1)*(i + 7)/2
Let c(s) be the third derivative of -s**6/40 - 623*s**5/20 + 252*s**2 - 6*s. Factor c(o).
-3*o**2*(o + 623)
Suppose 895*g**3 - 1474*g**2 + 682*g**2 + 187*g**2 + 40 + 565*g**4 - 185*g**5 - 710*g = 0. Calculate g.
-1, 2/37, 1, 4
Find b such that 28*b**4 + 13*b**5 + 7*b**5 - 30*b**4 - 18*b**5 - 4*b**3 = 0.
-1, 0, 2
Suppose 75*f - 15 = 72*f. Let p(c) = c**2 - 1. Let b(l) = -5*l**4 + 40*l**2 - 30*l - 5. Let g(y) = f*p(y) - b(y). Determine d, given that g(d) = 0.
-3, 0, 1, 2
Let t(u) be the second derivative of u**6/105 + 2*u**5/7 - 43*u**4/42 + 22*u**3/21 - 123*u. Let t(h) = 0. Calculate h.
-22, 0, 1
Suppose 79 = 20*p - 121. Factor p*g**3 + 4*g**3 + g**3 - 39*g - 55*g**2 + 56*g - 37*g.
5*g*(g - 4)*(3*g + 1)
Let s be (8/14)/((6 - 7)*44/(-154)). Let h(o) be the second derivative of 0 - 1/10*o**5 + 4/3*o**3 + 1/12*o**4 + 46*o - 2*o**s. Factor h(f).
-(f - 2)*(f + 2)*(2*f - 1)
Suppose -18*n + 35*n - 11*n = 0. Suppose 7 = 2*o + y, n = 57*o - 56*o - 3*y + 7. Determine r, given that 0 + 6/5*r**3 - 8/5*r + 0*r**o + 2/5*r**4 = 0.
-2, 0, 1
Let l = 33643 + -33641. Factor 0 - 9/2*v - 3/2*v**l.
-3*v*(v + 3)/2
Let m(c) = 7*c**2 - 38*c - 40. Let y(n) = -n + 1. Let q(x) = m(x) + 5*y(x). Let t(f) = 4*f**2 - 21*f - 18. Let a(k) = -2*q(k) + 5*t(k). What is u in a(u) = 0?
-5/6, 4
Let j(i) be the second derivative of i**4/24 - i**3/3 - 8*i**2 - 38*i - 1. Factor j(z).
(z - 8)*(z + 4)/2
Let 18754045*s**2 - 2031*s**4 - 446978791 - 514080*s**3 - 3*s**5 - 2328762000*s + 7963868791 - 76149445*s**2 = 0. What is s?
-170, 3
Let s be (25/(1750/105))/(15/20). Suppose -1/4*g - 1/4*g**s + 1/2 = 0. What is g?
-2, 1
Factor -61/3*j**2 + 0 + 14*j + 6*j**3 + 1/3*j**4.
j*(j - 2)*(j - 1)*(j + 21)/3
Solve 0*c + 54*c**2 + 0 + 1266/7*c**3 + 398/7*c**4 + 6/7*c**5 = 0.
-63, -3, -1/3, 0
Let q = 1220 - 496. Factor 474 + 2*s**2 - 316 + 0*s**2 - 84*s + q.
2*(s - 21)**2
Suppose 0 = 129*m - 145*m. Factor -1/2 - 1/2*v**4 + 0*v + m*v**3 + v**2.
-(v - 1)**2*(v + 1)**2/2
Let u = -1487 + 2619. Let k = u + -1130. Factor -21/2*n + 5/2 + 2*n**k.
(n - 5)*(4*n - 1)/2
Let v(g) be the second derivative of -7/9*g**3 - 2/3*g**2 + 2/15*g**5 + 2*g + 5/18*g**4 - 12. Factor v(z).
2*(z - 1)*(z + 2)*(4*z + 1)/3
Let n(z) be the third derivative of z**5/12 - z**4 - 47*z**3/6 - 22*z**2 + 3. Let g(t) = 9*t**2 - 24*t - 48. Let u(m) = -2*g(m) + 3*n(m). Factor u(s).
-3*(s + 3)*(s + 5)
Let u = 562 + -557. Suppose -u*q + 8 = 4*a, -2*q - 102 = -4*a - 94. Determine y, given that -1/8*y**a - 3/4*y - 1 = 0.
-4, -2
Let k be 1 + 3 - (-17 + 7). Let s be -4 - ((-42)/35)/(k/80). Factor s*o + 50/7 + 2/7*o**2.
2*(o + 5)**2/7
Suppose -o**5 - 956*o**3 + 3391 - 5073 - 4*o**4 + 1622*o**2 + 957*o + 64*o**4 = 0. Calculate o.
-1, 1, 2, 29
Factor -2195*c**2 - 1090*c**3 - 353*c + 1027*c + 5*c**4 - 1774*c.
5*c*(c - 220)*(c + 1)**2
Suppose -s + 4*f = f + 3, -2*s + f = -19. Let u(m) = -m**3 + 12*m**2 + 2*m - 24. Let z be u(s). Let z*x**2 - 5*x**2 - 2*x**2 + 3*x**2 + 4*x**4 = 0. Calculate x.
-1, 0, 1
Let b(g) = 605*g**3 - g**2 - 3*g + 4. Let h be b(1). Let a = 605 - h. What is r in -1/5*r**2 - 1/5*r**4 + 0 + a*r + 2/5*r**3 = 0?
0, 1
Suppose -2*b = -5*q + 72, -3*b + 84 = 5*q - 2*b. Suppose -q*m + 40*m = 120. Solve 9/2*t**3 + 11/2*t**4 + 0 + 1/2*t**2 - 1/2*t + 2*t**m = 0.
-1, 0, 1/4
Suppose -3*l + 1660 = l. Let x = l + -267. Factor -177 - 3*q**2 + 60*q + x - 271.
-3*(q - 10)**2
Let l = 6974 + -6964. Let n(v) be the third derivative of 2/3*v**3 - 1/30*v**5 + 0*v + 0 + 1/12*v**4 - l*v**2. Determine c, given that n(c) = 0.
-1, 2
Let w be (1/3*-3)/(3/36). Let q(u) = u**3 + 11*u**2 - 12*u + 4. Let r be q(w). Factor r*v**5 - 7 + 7 - 16*v**4 - 20*v**3.
4*v**3*(v - 5)*(v + 1)
Let u = 230 - 241. Let o(b) = -25*b**2 - 11*b. Let y(s) = 5*s**2 + 2*s. Let g(v) = u*y(v) - 2*o(v). Find q such that g(q) = 0.
0
Let o(r) be the third derivative of -1/2*r**4 + 0 + 0*r + 0*r**3 - 1/40*r**6 - 1/5*r**5 + 26*r**2. Determine w, given that o(w) = 0.
-2, 0
Find z such that 737*z**2 + 543*z - 32*z**4 - 89*z + 80*z**3 + 56 + 205*z**2 = 0.
-4, -1/4, 7
Suppose -2855*d = -2864*d + 27. Let p(a) be the third derivative of 0*a - 15/2*a**4 + 45/2*a**5 - 225/8*a**6 + 0 + 4/3*a**d - 4*a**2. Factor p(j).
-(15*j - 2)**3
Suppose -15*y = -17*y + 8. Suppose 80*r**y - 24 - 4*r**5 - 124*r**4 - 40*r**3 + 44*r + 68*r**4 = 0. What is r?
-1, 1, 2, 3
Let o(p) be the first derivative of p**5/5 - 25*p**4/2 + 716*p**3/3 - 1127*p**2 + 1587*p + 1075. Factor o(a).
(a - 23)**2*(a - 3)*(a - 1)
Suppose -6*j + k = -j + 1, -3*j = -2*k + 2. Suppose j = 3*t + 2*c - 13, 0 = -c - 1 + 3. Factor 13*d - 13*d + 3*d**2 - t + 0.
3*(d - 1)*(d + 1)
Suppose -4/7*d**2 - 70694464/7 - 33632/7*d = 0. Calculate d.
-4204
Let a be ((-110)/30 + -6)*79. Let p = -761 - a. Solve 1/6*v**5 + 3/2*v**4 + 8*v + 16/3*v**3 + 28/3*v**2 + p = 0 for v.
-2, -1
Let f be (-5 + 5)/(((-15)/(-75))/((-1)/15)). Let d(p) be the second derivative of f + 0*p**3 - 1/3*p**4 + 11*p + 2*p**2. Determine t so that d(t) = 0.
-1, 1
Let p = -68/35 + 96/35. Factor 4/5*y**2 + p*y**3 - 4/5*y**4 - 4/5*y + 0.
-4*y*(y - 1)**2*(y + 1)/5
Let o(d) be the third derivative of d**5/120 - 13*d**4/24 - 426*d**2. Factor o(u).
u*(u - 26)/2
Let s(t) be the first derivative of 1/18*t**6 + 0*t + 0*t**2 - 1/5*t**5 + 1/4*t**4 + 180 - 1/9*t**3. Factor s(b).
b**2*(b - 1)**3/3
Suppose -3*v - 88 = -2*z - 3*z, -25 = -5*z. Let t be (28/v)/((-7)/15). Factor 20/7*x**2 - t*x**3 + 2/7 + 10/7*x**4 - 10/7*x - 2/7*x**5.
-2*(x - 1)**5/7
Let q = -104997 - -210007/2. Determine c, given that q - 1/2*c**2 + 6*c = 0.
-1, 13
Let o(z) be the first derivative of -5*z**3/3 - 1075*z**2 + 2155*z + 2574. Factor o(a).
-5*(a - 1)*(a + 431)
Let y(f) be the third derivative of -f**6/180 + 17*f**5/60 + 65*f**3/3 - 185*f**2. Let s(p) be the first derivative of y(p). Determine l, given that s(l) = 0.
0, 17
Let y = 1 + -38. Let w = y + 40. Let -4*d - 6*d**2 - 2*d**w + 277 - 277 = 0. What is d?
-2, -1, 0
Let o = 53 - 54. Let p be 1/2*(6 + (-3 - o)). Factor 89*r**2 - 115*r**3 + 112*r - p*r**2 + 32 - 15*r**2 + 7*r**3 - 108*r**4.
-4*(r - 1)*(3*r + 2)**3
Let n = -537/46702 - -47402531611/140106. Factor 8/3*m**5 + 61202/3*m**3 + n*m - 1060300/3*m**2 - 250000/3 - 1208/3*m**4.
2*(m - 50)**3*(2*m - 1)**2/3
Let r be 3 + (-5690)/4 - (-96)/64. Let i = 1418 + r. Determine q so that 27/4 + i*q - 3/4*q**2 = 0.
-3, 3
Let q(h) be the third derivative of 7*h**6/60 + 149*h**5/30 + 91*h**4/6 + 40*h**3/3 - h**2 - 1435. Factor q(g).
2*(g + 1)*(g + 20)*(7*g + 2)
Let b(g) be the third derivative of g**6/540 - 2*g**5/45 - g**4/3 + 112*g**3/27 - 3530*g**2. Suppose b(c) = 0. What is c?
-4, 2, 14
Let k be -3*((-16)/(-