(t + 2)*(t + 3)*(t + 8)
Suppose -4*k = -2*v - v + 47, -2*v + k + 23 = 0. Suppose 21*h = v*h + 180. Factor 6*s**2 - 11*s**2 + 8*s**2 - h*s.
3*s*(s - 5)
Let y = 40139 + -40135. Factor -2*k + 0 - 10/3*k**2 - 2/3*k**3 + 2/3*k**y.
2*k*(k - 3)*(k + 1)**2/3
Suppose -7*m + 2*o + 858 = -5*m, 2*o = 3*m - 1285. Let i = m + -424. Factor 45/4*u + 15/2*u**3 - 3/4*u**5 + 15*u**2 + 0*u**4 + i.
-3*(u - 4)*(u + 1)**4/4
Let k(f) be the second derivative of f**4/3 + 3260*f**3/3 + 1328450*f**2 - 993*f. What is o in k(o) = 0?
-815
Let s(x) be the first derivative of -40*x**4 + 11*x**5 + 0*x - 78 - 5/6*x**6 + 0*x**2 + 140/3*x**3. Factor s(r).
-5*r**2*(r - 7)*(r - 2)**2
Factor -15/4*n + 0 - 3/4*n**3 + 23/2*n**2.
-n*(n - 15)*(3*n - 1)/4
Let d(k) = 12*k**4 - 1068*k**3 - 1064*k**2 + 16*k - 48. Let r(i) = -i**4 - i + 3. Let s(u) = d(u) + 16*r(u). Let s(g) = 0. What is g?
-266, -1, 0
Let j be (11 + -9)/((2/(-2))/(-1)). Factor -45*b + 17 + 8 + 2 - 10*b**j - 2.
-5*(b + 5)*(2*b - 1)
Suppose -39/2*s**2 + 2*s**4 - 18*s + 1/4*s**5 + 0 + 1/4*s**3 = 0. Calculate s.
-6, -4, -1, 0, 3
Let a(b) = 28*b**3 + 1658*b**2 - 1656*b - 15. Let i(h) = -23*h**3 - 1657*h**2 + 1656*h + 12. Let l(z) = 4*a(z) + 5*i(z). Factor l(y).
-3*y*(y - 1)*(y + 552)
Let r(g) be the second derivative of 1/357*g**7 - 3/170*g**5 - 29*g + 1/255*g**6 - 5/102*g**4 - 2/51*g**3 + 0*g**2 + 1. Determine a, given that r(a) = 0.
-1, 0, 2
Let i be (-163660)/(-2004) - 480/6. Suppose 5/3*c**4 - i*c**3 + 2*c - 1/3*c**5 + 0 - 5/3*c**2 = 0. What is c?
-1, 0, 1, 2, 3
Find g such that -839*g**2 + 672 + 459*g**2 - 496*g - 4*g**3 + 468*g**2 = 0.
2, 6, 14
Suppose -a + 2*p + 12 + 1 = 0, p + 29 = 5*a. Determine t, given that a*t - 5*t**3 - 54 + 54 = 0.
-1, 0, 1
Solve -12/5 - 396/5*l**2 - 142/5*l = 0 for l.
-2/9, -3/22
Determine z so that 24 + 56/5*z - 2/5*z**2 = 0.
-2, 30
Let c be (5 - (-9)/(2/(-2)))*-1. Let 16 + 4*l**3 - 12*l**3 + 4 - 4*l**c - 16 + 8*l = 0. What is l?
-1, 1
Suppose -12*l + 29*l + 288 = 89*l. Let f(j) be the third derivative of 17*j**2 - 8/3*j**3 + 1/60*j**6 + 0*j + 0 + 1/15*j**5 - 1/3*j**l. Factor f(s).
2*(s - 2)*(s + 2)**2
Let z(q) be the third derivative of -q**5/30 - 17*q**4/3 + 23*q**3 + 317*q**2. Find j, given that z(j) = 0.
-69, 1
Let -920/9 - 2/9*v**4 - 52*v**3 - 256*v - 1850/9*v**2 = 0. Calculate v.
-230, -2, -1
Let g(o) be the first derivative of o**6/120 - 7*o**5/20 - 15*o**4/8 - 31*o**3/3 + 20. Let l(t) be the third derivative of g(t). Factor l(z).
3*(z - 15)*(z + 1)
Let n = 4021949/9 - 447332. Let j = 449 + n. Factor j*o**3 - 4/9*o**2 - 2/9*o + 4/9.
2*(o - 2)*(o - 1)*(o + 1)/9
Suppose 4*y = -6*q + 24, -3*q = -71*y + 66*y - 12. Let d(m) be the second derivative of 1/10*m**5 - 1/3*m**3 - 2/3*m**4 + 0 - 21*m + q*m**2. Factor d(i).
2*(i - 4)*(i - 1)*(i + 1)
Factor 3684366 + 2/7*x**2 + 2052*x.
2*(x + 3591)**2/7
Let l = 133337626/4402657 - 2/628951. Solve -48/7 - 46*m**2 + l*m + 4/7*m**5 + 204/7*m**3 - 50/7*m**4 = 0.
1/2, 1, 4, 6
Let l(y) be the first derivative of -2*y**6/15 + 7*y**5/5 + 8*y**4/3 + 42*y + 48. Let i(w) be the first derivative of l(w). Find j, given that i(j) = 0.
-1, 0, 8
Suppose 3*t - 8*t = -5*c + 100, c - 32 = 5*t. Factor 12*s + 64*s - 19*s + 2*s**2 + 18*s + 1058 + c*s.
2*(s + 23)**2
Let g(u) = -u**3 + 5*u**2 - 2*u - 4. Let v be g(4). Suppose 9*x - v*q - 29 = 4*x, -5*x = 3*q - 22. Factor -9/2*y**3 - 2*y + 5*y**2 + 0 - 1/4*y**x + 7/4*y**4.
-y*(y - 2)**3*(y - 1)/4
Let r(a) = 4*a**2 + 650*a - 1382. Let s(q) = -q**2 - 144*q + 307. Let f(m) = 5*r(m) + 22*s(m). Solve f(u) = 0 for u.
2, 39
Let j(s) be the third derivative of -s**6/600 - 11*s**5/75 - 153*s**4/40 + 84*s**3/5 - 3*s**2 - 5*s + 132. Factor j(n).
-(n - 1)*(n + 21)*(n + 24)/5
Let d be (-2106)/182 + 20*6/8. Factor -4/7*t**4 - 36/7*t**2 + d*t**3 + 0*t + 0.
-4*t**2*(t - 3)**2/7
Let c(o) = -2*o**4 - 13*o**3 + 7*o**2 + 8*o + 5. Let x(n) = -n**3 + n**2 + 1. Let g = -19 - -24. Let v(h) = g*x(h) - c(h). Factor v(t).
2*t*(t - 1)*(t + 1)*(t + 4)
Let m = 103 + -92. Let r(a) be the first derivative of -34*a**2 + 10*a**2 + 2*a**3 + 36 + 2*a**4 + 9*a**2 + m*a**2 - 6*a. Factor r(n).
2*(n - 1)*(n + 1)*(4*n + 3)
Suppose 0 = -20*z - z + 6*z + 2 + 13. Suppose 5/2*s - z + 7/8*s**3 - 1/8*s**4 - 9/4*s**2 = 0. What is s?
1, 2
Factor -490 - 304/3*j - 2/3*j**2.
-2*(j + 5)*(j + 147)/3
What is z in 129*z + 5*z**3 + 6438*z**5 - 5*z**4 - 6441*z**5 - 131*z + 5*z**2 = 0?
-2, -1, 0, 1/3, 1
Factor -1/3*v**3 - 167/3*v**2 + 2352 - 2296*v.
-(v - 1)*(v + 84)**2/3
Let u(a) = a - 1. Let b be u(2). Let s be (3 - b)/4*6. Find f, given that f**3 + 9*f**3 - 6 + 10*f**s + 228*f - 66 - 128*f**2 = 0.
2/5, 3
Let -9*q**2 + 2592726 - 64554 + 3828*q + 12*q**2 - 9336*q = 0. What is q?
918
Let x(m) = 11*m**3 + 165*m**2 + 3656*m - 3881. Let g(o) = 8*o**3 + 110*o**2 + 2434*o - 2587. Let i(q) = -7*g(q) + 5*x(q). Factor i(u).
-(u - 72)*(u - 1)*(u + 18)
Let o(q) be the third derivative of q**9/302400 + q**8/3600 + 7*q**7/900 + 2*q**5/15 + 62*q**2. Let n(h) be the third derivative of o(h). Factor n(d).
d*(d + 14)**2/5
Let x(s) = -74*s**2 + 0*s**2 - 51*s + 29 + 2*s**2 + 6*s**3 - 26*s**3. Let a(l) = 180*l**3 + 648*l**2 + 460*l - 260. Let k(h) = 3*a(h) + 28*x(h). Factor k(y).
-4*(y + 2)**2*(5*y - 2)
Let f be 2*(-8)/((-336)/(-591)). Let n = f + 29. Factor n*v**3 - 4/7*v + 10/7*v**2 + 0.
2*v*(v + 2)*(3*v - 1)/7
Let a(k) be the second derivative of -2*k**6/21 - 3*k**5/35 + 3*k**4/7 + 2*k**3/3 - 2*k + 885. What is r in a(r) = 0?
-1, 0, 7/5
Let x(p) = 2*p**3 - 170*p**2 - 104*p - 5828. Let f be x(86). Determine d, given that 15/2*d**2 + f*d - 5*d**3 - 30 = 0.
-2, 3/2, 2
Let c be 0/(-8 - 72/(-12)). Let b(q) be the second derivative of 1/21*q**3 - 5/7*q**2 + c + 5/42*q**4 - 1/70*q**5 - 28*q. Solve b(a) = 0 for a.
-1, 1, 5
Let x = 30 - 24. Suppose x*w = 5 + 49. Factor -3*d**4 + 3*d - 6*d**2 - 3*d**2 + 0*d + w*d**3 + 0*d**2.
-3*d*(d - 1)**3
Let d = 14881567/11 - 1352647. Factor 140/11*o - d - 2/11*o**2.
-2*(o - 35)**2/11
Let u(x) = -x**5 - 3*x**4 + 25*x**3 + 63*x**2 + 36*x. Let c(w) = 2*w**4 + 2*w**3. Let m(g) = -4*c(g) + u(g). Determine j so that m(j) = 0.
-12, -1, 0, 3
Let b be 1 + (140/(-8)*2)/36. Let d(m) be the second derivative of 1/15*m**5 + 0*m**3 + 0 + 26*m + b*m**4 + 0*m**2. What is h in d(h) = 0?
-1/4, 0
Let l(x) = 2*x**3 + 386*x**2 + 364*x - 4. Let q(m) = -4*m**3 - 766*m**2 - 727*m + 7. Let w(c) = 7*l(c) + 4*q(c). Let w(r) = 0. What is r?
-180, -1, 0
Let n(w) = w**2 + 8808*w - 44063. Let t be n(5). Find y, given that -1/4*y**t + 5*y + 21/4 = 0.
-1, 21
Let k = -1482 - -19282/13. Let d = 15 + -15. Solve -2/13*b**4 + 8/13*b + d + 10/13*b**3 - k*b**2 = 0.
0, 1, 2
Suppose -144/7*p + 86/7*p**2 - 40/7 + 8/7*p**4 + 90/7*p**3 = 0. What is p?
-10, -2, -1/4, 1
Suppose 14*l - 1852 = -1810. Let p(f) be the third derivative of 0 + 1/80*f**5 + 1/160*f**6 - 1/32*f**4 - 1/8*f**l - 8*f**2 + 0*f. Let p(t) = 0. What is t?
-1, 1
Let l(d) be the first derivative of d**4/30 + 3*d**3/5 + 8*d**2/5 - 31*d + 68. Let y(i) be the first derivative of l(i). Let y(h) = 0. Calculate h.
-8, -1
Suppose -3*q - 4*x = 17, -5*q + 0*x - 63 = -2*x. Let o(r) = -r**2 - 12*r - 3. Let l be o(q). Factor -1 - 6*n - l + 9 + 2*n**2.
2*n*(n - 3)
Let d(j) be the second derivative of -j**7/42 + j**6/6 - 7*j**5/20 - j**4/12 + 4*j**3/3 - 2*j**2 + 38*j + 6. Factor d(h).
-(h - 2)**2*(h - 1)**2*(h + 1)
Let q(i) be the first derivative of 21/4*i**4 - 21/2*i**2 + 9/5*i**5 - 12*i + 113 + i**3. Factor q(b).
3*(b - 1)*(b + 1)**2*(3*b + 4)
Let v(x) be the third derivative of x**8/112 - x**7/35 - 19*x**6/40 - 7*x**5/5 - 3*x**4/2 - 1137*x**2. Suppose v(f) = 0. What is f?
-2, -1, 0, 6
Let a(l) be the first derivative of 5/8*l**4 + 31/6*l**3 + 3/2*l**2 + 0*l + 69. Let a(r) = 0. Calculate r.
-6, -1/5, 0
Let s = 78036 - 390168/5. Factor -2/5*c - s + 2/5*c**2.
2*(c - 3)*(c + 2)/5
Factor -14 + 1137 + 5*f**2 + 152*f + 198*f + 277 + 20*f.
5*(f + 4)*(f + 70)
Let m(h) be the first derivative of h**6/12 - 9*h**5/10 + 11*h**4/4 - 8*h**2 + 197. Factor m(k).
k*(k - 4)**2*(k - 2)*(k + 1)/2
Let m(t) be the third derivative of -16*t**6/135 - 248*t**5/135 - 1001*t**4/108 - 605*t**3/27 + 12*t**2 - 116. Let m(f) = 0. Calculate f.
-5, -11/8
Let g be -4 - (-3 - (2 + -2)). Let x(r) = -4*r**3 + 11*r**2 + 24*r - 31. Let n(k) = k**3 - 1. Let t(h) = g*x(h) - 5*n(h). Let t(o) = 0. Wh