*d**3 + 135/2*d**2 + 15/4*d**4 + 0. Factor b(w).
-5*(w - 3)**3
Solve 186624/11 + 96768/11*p + 116*p**4 + 6/11*p**5 - 231536/11*p**2 + 65672/11*p**3 = 0 for p.
-108, -2/3, 2
Determine n so that 6*n**3 - 2/7*n**4 + 66*n - 242/7*n**2 - 260/7 = 0.
1, 2, 5, 13
Find z such that 6*z + 0 + 14/3*z**3 + 2/3*z**4 + 10*z**2 = 0.
-3, -1, 0
Let -1426452*o + 1426452*o - 2*o**2 + 128 = 0. Calculate o.
-8, 8
Factor 9*y**4 + 2961*y**2 - 7*y**4 + 60*y**3 - 2415*y**2 + 1568*y.
2*y*(y + 7)**2*(y + 16)
Let n(m) be the third derivative of -m**5/20 + 77*m**4 - 47432*m**3 - 216*m**2 + 2. Factor n(l).
-3*(l - 308)**2
Let d = -4754/15 - -4774/15. Factor d - 25/3*g + 2*g**2.
(g - 4)*(6*g - 1)/3
Let o(l) be the third derivative of -l**7/15 - 131*l**6/60 - 87*l**5/5 + 215*l**4/3 - 200*l**3/3 + 9*l**2 + 64. Solve o(j) = 0.
-10, 2/7, 1
Let i(z) be the first derivative of z**3 + 174*z**2 - 708*z - 3577. Factor i(c).
3*(c - 2)*(c + 118)
Suppose 2*p + 11 = 3*p. What is k in -10*k**2 + 23*k**2 - 9*k - p*k**2 - 3*k**2 + 10 = 0?
-10, 1
Let -176/3 - 1/6*p**3 - 61/3*p + 25/6*p**2 = 0. What is p?
-2, 11, 16
Suppose -16*b + 0 - 92*b**2 - 5/4*b**5 + 37/2*b**4 - 225/4*b**3 = 0. What is b?
-1, -1/5, 0, 8
Let q(p) be the first derivative of p**4/14 - 116*p**3/21 + 57*p**2/7 + 304. Factor q(c).
2*c*(c - 57)*(c - 1)/7
Suppose -z - 24 = -5*t + 4*t, -3*t = 5*z - 104. Let o = -23 - -26. Factor 4*v**o + 16 + t*v + v**3 - 9*v**3 + 8*v**2.
-4*(v - 4)*(v + 1)**2
Let f = 1861188 - 1928189845/1036. Let d = f + -5/148. Factor d*u + 0 - 2/7*u**2.
-2*u*(u - 3)/7
Let q(j) be the first derivative of j**3/3 + 66*j**2 + 984*j + 22. Let x(w) = w**2 + 2*w - 1. Let v(c) = q(c) + 4*x(c). Factor v(m).
5*(m + 14)**2
Let w(y) be the first derivative of -49/2*y**4 + 139 + 0*y + 7/3*y**6 + 12*y**2 + 56/3*y**3 + 4/5*y**5. Let w(f) = 0. Calculate f.
-3, -2/7, 0, 1, 2
Let m(z) be the second derivative of -2/3*z**3 + 47*z + 0*z**2 + 0 + 1/10*z**5 - 1/6*z**4. Solve m(h) = 0.
-1, 0, 2
Let d(m) be the second derivative of -17*m**5/10 - 35*m**4/3 - 59*m**3/3 - 6*m**2 - 278*m. Solve d(g) = 0 for g.
-3, -1, -2/17
Let p = 15763416/13 - 1212564. Factor 16/13*j + 0 - 22/13*j**3 + p*j**2.
-2*j*(j - 4)*(11*j + 2)/13
Let k(q) be the third derivative of q**5/30 - 5*q**4/6 - 13*q**3/6 - 2*q**2 + 71. Let z be k(11). Suppose 15/2*b**2 + 3/2 - z*b = 0. Calculate b.
1/5, 1
What is h in 24/5*h + 2/5*h**4 + 18/5*h**3 + 8*h**2 + 0 = 0?
-6, -2, -1, 0
Let d be ((-120)/16)/((144/114)/2). Let u = -277/24 - d. Factor -12 - 4*o - u*o**2.
-(o + 6)**2/3
Let z(l) = 2*l**3 - 5*l**2 - 5. Let n be (64/(-448))/((-43)/21 + 2). Let v be z(n). Factor 8/15*y**3 + 2/3*y**2 + 4/15*y + 2/15*y**v + 0.
2*y*(y + 1)**2*(y + 2)/15
Factor -1/4*i**5 + 0*i + 0 + 2*i**4 + 0*i**2 - 7/4*i**3.
-i**3*(i - 7)*(i - 1)/4
Let 34/5*c**4 + 0 + 344/5*c**2 + 48*c + 172/5*c**3 + 2/5*c**5 = 0. Calculate c.
-10, -3, -2, 0
Let a(m) = 2*m**3 - 80*m**2 + 183*m - 7287. Let d be a(40). Factor -3/2*y**4 + 12*y**3 + 36*y - d*y**2 - 27/2.
-3*(y - 3)**2*(y - 1)**2/2
Let r be 18 + 1098/(-60) + (-24)/(-16). Determine s, given that -4/5 - r*s**2 + 14/5*s = 0.
1/3, 2
Suppose 0*u + u = 2*n - 984, 0 = 5*n - u - 2466. Let d = n - 494. Factor d - 25/2*g - 1/2*g**3 - 5*g**2.
-g*(g + 5)**2/2
Factor -994/5*i + 992/5 + 2/5*i**2.
2*(i - 496)*(i - 1)/5
Factor 15*j**4 - 512*j**3 - 252*j**2 + 86*j + 515*j**3 + 197*j - 240 + 209*j.
3*(j - 2)**2*(j + 5)*(5*j - 4)
Let n(o) = 38*o**3 + 1506*o**2 + 120125*o. Let v(j) = 7*j**3 + 302*j**2 + 24025*j. Let q(s) = -2*n(s) + 11*v(s). Factor q(c).
c*(c + 155)**2
Let j(m) be the second derivative of 7*m**4/8 + 31*m**3/2 - 198*m**2 - 63*m - 9. Factor j(z).
3*(z + 12)*(7*z - 22)/2
Solve -2*p**3 + 220*p + 134*p - 234*p - 14*p**2 = 0 for p.
-12, 0, 5
Let w(b) be the first derivative of -3*b**4/16 - 133*b**3/6 - 173*b**2/2 - 86*b + 1936. Find g, given that w(g) = 0.
-86, -2, -2/3
Suppose -r + 3*l + 4133 = -2*l, -2*l + 20800 = 5*r. Solve -5*b**2 - r + 1021 - 12443 + 660*b - 6200 = 0 for b.
66
Let g(o) be the first derivative of 52 + 15*o + 35/3*o**3 + 20*o**2 + 5/2*o**4. Solve g(h) = 0 for h.
-3/2, -1
Factor 1152/7 + 2/7*c**4 + 40/7*c**3 + 296/7*c**2 + 960/7*c.
2*(c + 4)**2*(c + 6)**2/7
Let o(v) = -2*v**3 + 5*v**3 - 15 + v**2 + 13. Let f(h) = h**3 - 8*h**2 - 9*h - 3. Let u be f(9). Let c(i) = i - 1. Let s(n) = u*o(n) + 6*c(n). Factor s(k).
-3*k*(k + 1)*(3*k - 2)
Determine b so that 1/3*b**2 + 40/3*b - 41/3 = 0.
-41, 1
Factor 2/11*m**2 + 730/11 - 732/11*m.
2*(m - 365)*(m - 1)/11
Suppose -4*j - 2*q + 18 = 0, j = -8*q + 3*q + 27. Let i = 119791/3 + -39927. Factor -5/6*h**j + i*h - 5/2.
-5*(h - 3)*(h - 1)/6
Let y(l) be the third derivative of -l**8/56 - 39*l**7/70 + 19*l**6/5 - 101*l**5/10 + 57*l**4/4 - 23*l**3/2 + 2*l**2 - 7*l + 42. What is c in y(c) = 0?
-23, 1/2, 1
Let r(n) be the second derivative of n**4/90 - 56*n**3/45 + 504*n. Solve r(t) = 0 for t.
0, 56
Suppose 28*m = 23*m + 10. Factor 24*r**m + 7*r + 2*r - 14*r - 3 - 16*r.
3*(r - 1)*(8*r + 1)
Let g = 326739 + -326737. Factor 1/6*n**g + 1/2*n - 5/3.
(n - 2)*(n + 5)/6
Suppose -412*a**4 - 75*a**3 + 54*a**2 + 407*a**4 + 26*a**2 = 0. What is a?
-16, 0, 1
Let b(n) be the second derivative of -n**5 - 91*n**4/4 + 101*n**3/6 + 21*n**2 + 163*n - 12. Solve b(f) = 0.
-14, -1/4, 3/5
Let j(q) = -2*q**2 - 546*q + 5079. Let t be j(9). Factor 36*s - 39/2*s**2 - 27/2 + t*s**3.
3*(s - 3)**2*(2*s - 1)/2
Let t(x) = -x**3 + 22*x**2 - 24*x - 316. Let j be t(20). Let l(a) be the second derivative of -8*a - 4/15*a**3 + 0 + 1/30*a**j + 4/5*a**2. Factor l(c).
2*(c - 2)**2/5
Let o(l) be the second derivative of 0 + 0*l**2 - 124*l + 0*l**3 + 3/10*l**5 - 5/3*l**4 + 1/15*l**6. What is x in o(x) = 0?
-5, 0, 2
Factor 0 - 6*x + 37/6*x**2 - 1/6*x**3.
-x*(x - 36)*(x - 1)/6
Let g = 6/37 + 44/185. Let q be -200 + 217 + -3*4 + -3. Factor 3/5*a + 0 - g*a**q - 1/5*a**3.
-a*(a - 1)*(a + 3)/5
Solve -4490*x**4 - 7224*x**5 + 3982*x**3 + 4 - 72*x - 106*x - 1613*x**4 + 1822*x**2 - 3356*x**5 - 2499*x**4 = 0.
-1, -2/5, 1/23, 1/2
Let b(p) be the third derivative of 63*p**2 + 0*p - 23/42*p**4 + 4/735*p**7 + 0 + 4/7*p**3 + 1/588*p**8 - 3/35*p**6 + 32/105*p**5. Find a, given that b(a) = 0.
-6, 1
Suppose -57 + 49 = -4*p. Let -2*s**5 + 54*s**4 + 238 + 50 - 912*s + 250*s**3 - 688*s**3 + 122*s**2 + 258*s**2 + 630*s**p = 0. What is s?
1, 12
Find i such that 31008 + 7*i**2 - 68344 - 2*i**2 - 886*i - 158913 - 6*i**2 = 0.
-443
Let p(x) be the second derivative of -51*x**5/40 + 31*x**4/8 - 11*x**3/4 - 9*x**2/4 + 694*x. Factor p(n).
-3*(n - 1)**2*(17*n + 3)/2
Factor 23808/7*y + 432*y**2 + 159/7*y**3 + 61440/7 + 3/7*y**4.
3*(y + 5)*(y + 16)**3/7
Factor -39/5*u + 308/5 + 1/5*u**2.
(u - 28)*(u - 11)/5
Suppose -10*w - 60 = 840. Let a be (-2)/(-9)*(w/(-14))/5. Solve -4/7*h**2 - 6/7*h**3 + 0*h**4 + a*h**5 + 0*h + 0 = 0 for h.
-1, 0, 2
Suppose -25*v + 22*v - 5*s = 5, s + 24 = 4*v. Let q be 55/v*(-14)/(-70). Let 2/5 - q*k + k**2 = 0. What is k?
1/5, 2
Let w = -10004 - -10004. Let m(f) be the first derivative of 1/4*f**4 + w*f + 1/5*f**5 + 0*f**2 + 18 - 2*f**3. Solve m(z) = 0 for z.
-3, 0, 2
Suppose -4328*g = -4015*g. Find x, given that -21/4*x + g - 3/4*x**2 = 0.
-7, 0
Let u(b) be the third derivative of 3*b**8/280 - 52*b**7/525 + 41*b**6/300 + 23*b**5/25 - 5*b**4/3 - 136*b**3/15 + b**2 - 2*b + 1218. Solve u(g) = 0.
-1, 2, 34/9
Factor -364 + 263 + 1181 - 39*p - 204*p - 19*p - 2*p**2.
-2*(p - 4)*(p + 135)
Let a(v) be the first derivative of -1/27*v**6 + 2/45*v**5 + 0*v**3 + 0*v**2 + 0*v - 36 + 1/3*v**4. Factor a(m).
-2*m**3*(m - 3)*(m + 2)/9
Suppose -82*d - 1114 = -1360. Let p(a) be the third derivative of 0*a**4 + 11*a**2 + 0 + 1/90*a**5 - 1/120*a**6 + 0*a**d + 0*a. Let p(g) = 0. What is g?
0, 2/3
Let k(m) be the third derivative of -m**5/330 - 5*m**4/33 + 7*m**3/11 + 474*m**2. Solve k(a) = 0 for a.
-21, 1
Let b be (-2)/((-88)/33) + 183/488. Factor 0*h**2 - b*h**4 + 0 + 3/8*h**5 + 3/4*h**3 + 0*h.
3*h**3*(h - 2)*(h - 1)/8
Let m be (1697 - 1711) + -2*170/(-24). Factor -79/6*n**2 + m*n**3 - 77/6 + 155/6*n.
(n - 77)*(n - 1)**2/6
Let r(w) = 3*w**2 - 9*w. Let x be r(-7). Factor x*l + 1925 - 70*l + 525 + 2*l**2.
2*(l + 35)**2
Factor -195/2*t**2 + 151*t + 14*t**3 + 1/2*t**4 - 68.
(t - 4)*(t - 1)**2*(t + 34)/2
Suppose -8*i - i = 3*i. Suppose 18 = r - 2*o - o, i = 3*o + 15. Factor 3/5*g - 3/5*g**