h that -i**2 - 74*i + d*i + 34*i = 0.
-2, 0
Solve 2/5*w**3 - 144/5 + 74/5*w**2 + 68/5*w = 0.
-36, -2, 1
Let s = -20912 - -20916. Factor 0*o**2 + 2/17*o**s + 4/17*o**3 - 4/17*o - 2/17.
2*(o - 1)*(o + 1)**3/17
Let q(x) = x**3 - 21*x**2 + 20*x + 4. Let v be q(20). Solve -152*u**2 + 24*u**v + 4*u**5 + 109 + 19 - 4*u**3 + 1271*u - 1271*u = 0 for u.
-4, -1, 1, 2
Let z(a) = -1536*a + 631298. Let i be z(411). Factor 0 - 1/8*o**3 - 3/8*o**i + 0*o.
-o**2*(o + 3)/8
Determine x so that x**2 - 396 + 98*x - 76 - 8 + 47*x + 4*x**2 = 0.
-32, 3
Let p be 4/(-32)*(-80)/5. Find t, given that 32*t**3 - p*t**5 - 4*t**2 - 24*t**4 - 30*t + 16 + 25*t**4 - 13*t**4 = 0.
-8, -1, 1
Let n = -122 + 197. Factor 476*z + n*z - 125*z**2 - 11*z**3 + 845 + 164*z + 16*z**3.
5*(z - 13)**2*(z + 1)
Suppose 2*l + 3936 = -4*s, 2*s - 5*l + 202 = -1790. Let z = s + 989. Factor -2/9*d - 4/3 + 2/9*d**z + 4/3*d**2.
2*(d - 1)*(d + 1)*(d + 6)/9
Let s(i) = i**2 - 153*i + 152. Let o(m) = -m**2 - m + 2. Let h(d) = 3*o(d) + s(d). Factor h(p).
-2*(p - 1)*(p + 79)
Factor 280*u - 90*u**2 - 50 + 181*u**2 - 6*u**2 + 125.
5*(u + 3)*(17*u + 5)
Let b(s) = -17*s + 8*s**2 + 149*s - 17*s**2 - 246. Let t(u) = 20*u**2 - 265*u + 495. Let f(q) = 5*b(q) + 2*t(q). Factor f(i).
-5*(i - 24)*(i - 2)
Suppose c - 16 = -0*c + 4*i, 5*c + i + 4 = 0. What is n in 2*n - 83*n**2 + 3*n**3 + 71*n**2 + 12 + c*n - 5*n = 0?
-1, 1, 4
Let v = 3217 + -6405/2. Let u(i) be the first derivative of -v*i**2 + 15 + 10*i**3 + 6*i - 7/4*i**4. Find c such that u(c) = 0.
2/7, 1, 3
Suppose -2*b - 3*c = -57, -51 = -7*b + 5*b - 5*c. Suppose -a - 2*h = -2, -3*a + b*h = 34*h - 1. Let 0*l + a + 6/11*l**3 - 2/11*l**4 + 0*l**2 = 0. What is l?
0, 3
Let r(a) be the first derivative of -1/10*a**5 + 5/6*a**3 + 0*a**2 + 166 - 1/2*a**4 + 0*a. Factor r(g).
-g**2*(g - 1)*(g + 5)/2
Let t(c) be the third derivative of -c**5/45 + 113*c**4/18 + 2*c**2 - 1223. Find j, given that t(j) = 0.
0, 113
Suppose -24*n = -138 + 90. Suppose 7*w + 5*i = 2*w + 35, -n*i = -3*w - 4. Determine q so that 1/2*q**w + q - 1/2*q**3 + 0 = 0.
-1, 0, 2
Let b(o) = o**3 - o. Let k(r) = -24*r**3 + 60*r**2 + 250 - r**3 + 267*r - 12*r. Let p(u) = 30*b(u) + k(u). Factor p(n).
5*(n + 2)*(n + 5)**2
Let t(b) be the third derivative of b**6/24 + 2*b**5 + 35*b**4/8 - 115*b**3/3 + 73*b**2. Factor t(j).
5*(j - 1)*(j + 2)*(j + 23)
Let n(o) = o**3 + 14*o**2 - 9*o - 26. Let a(m) = -m**2 - m + 1. Suppose 10*z = -136 + 96. Let u(l) = z*a(l) - n(l). Factor u(t).
-(t - 2)*(t + 1)*(t + 11)
Solve 0*d**3 - 4263*d**2 - 100 + 4363*d**2 + 5*d**3 - 5*d = 0 for d.
-20, -1, 1
Determine y so that -6823*y**2 - 72465465 + 2539*y**2 - 4*y**3 - 1529388*y - 109531707 = 0.
-357
Let s(x) be the first derivative of 3*x**5/5 + 38*x**4/3 - 110*x**3/3 + 28*x**2 + 54*x + 33. Let h(a) be the first derivative of s(a). Factor h(k).
4*(k - 1)*(k + 14)*(3*k - 1)
Suppose -40*g = -79*g + 34*g + 10. Factor 7 - 16*d - 16/7*d**3 + 78/7*d**g + 1/7*d**4.
(d - 7)**2*(d - 1)**2/7
Suppose 125*t**3 - 2356*t - 43*t - 5*t**4 + 151*t**2 - 503*t - 721*t**2 + 242*t - 1960 = 0. What is t?
-2, -1, 14
Let d = -157 - 507. Let b = d + 666. Factor 0 - 8/5*i - 2/5*i**b.
-2*i*(i + 4)/5
Let y(g) be the first derivative of -27*g**7/280 - g**6/8 - 11*g**5/160 - g**4/48 + 160*g**3/3 - 240. Let v(q) be the third derivative of y(q). Factor v(h).
-(6*h + 1)**2*(9*h + 2)/4
Let w(p) = 24*p**2 - 68*p + 4. Let f(i) = 9*i**2 + 1. Let t(h) = 4*f(h) - w(h). Factor t(s).
4*s*(3*s + 17)
Let u(s) be the second derivative of 5/168*s**7 + 1/16*s**5 + 0 + 16*s - 5/12*s**3 + 0*s**2 + 1/8*s**6 - 5/16*s**4. Solve u(w) = 0.
-2, -1, 0, 1
Let p(t) be the second derivative of -4 - 10/3*t**3 + 1/2*t**4 + 1/10*t**5 + 11*t + 0*t**2. Factor p(r).
2*r*(r - 2)*(r + 5)
Let u(v) be the first derivative of -v**6/105 + v**5/35 - 2*v**3/21 + v**2/7 + 4*v - 6. Let x(r) be the first derivative of u(r). Factor x(a).
-2*(a - 1)**3*(a + 1)/7
Let h(i) be the second derivative of -3*i**5/20 + 3*i**4 + 175*i**3/2 + 441*i**2 + 3936*i. Factor h(k).
-3*(k - 21)*(k + 2)*(k + 7)
Let f(b) be the first derivative of b**3/3 + 99*b**2 - 379. Factor f(x).
x*(x + 198)
Let q(o) be the first derivative of 21/25*o**5 + 2/15*o**6 - 11/3*o**3 + 2*o + 27/10*o**2 - 7/20*o**4 + 225. Determine t so that q(t) = 0.
-5, -2, -1/4, 1
Suppose 61/5*o - 61/5*o**3 + 63/5*o**2 - 1/5*o**4 - 62/5 = 0. What is o?
-62, -1, 1
Suppose -24*a - 132*a = -39*a - 234. Determine o so that -6/5*o**a + 0 + o + 1/5*o**3 = 0.
0, 1, 5
Find a such that -25/3*a**4 - 430/3*a**3 - 160/3 - 280/3*a + 860/3*a**2 + 35/3*a**5 = 0.
-4, -2/7, 1, 2
Let d(n) be the second derivative of 0*n**2 + 0*n**5 + 203*n - 1/30*n**6 + 0 + 0*n**3 - 1/126*n**7 + 1/9*n**4. Find a such that d(a) = 0.
-2, 0, 1
Suppose 38*z = 103 - 27. Let n(l) be the first derivative of 1/10*l**4 + 2/5*l**3 + 3/5*l**2 + z + 2/5*l. Factor n(h).
2*(h + 1)**3/5
Factor 2/11*k**3 - 12 - 128/11*k**2 - 262/11*k.
2*(k - 66)*(k + 1)**2/11
Let z = -8992 - -8994. Let w(x) be the first derivative of 2*x**z - 1/3*x**3 - 3*x + 25. Solve w(u) = 0.
1, 3
Factor -3/5*z**3 + 27*z**2 + 0 - 1248/5*z.
-3*z*(z - 32)*(z - 13)/5
Solve -443*r**3 + 755*r**3 - 516*r - 768*r**2 - 303*r**3 = 0.
-2/3, 0, 86
Let s(a) be the first derivative of a**5/60 - 5*a**4/24 + a**3 + a**2/2 - 36*a + 210. Let w(b) be the second derivative of s(b). Determine z so that w(z) = 0.
2, 3
Let j(k) be the first derivative of -k**6/2 - 17*k**5/4 - 25*k**4/2 - 10*k**3 + 20*k**2 - 146*k + 270. Let p(t) be the first derivative of j(t). Factor p(l).
-5*(l + 2)**3*(3*l - 1)
Suppose -1296*v**5 + 89*v - 80206986*v**2 - 72*v**4 + 80206621*v**2 - 25*v - 4 + 791*v**3 = 0. What is v?
-1, 2/9, 1/4
Let a(u) be the third derivative of -u**6/200 - 1831*u**5/100 - 167811*u**4/8 - 167445*u**3/2 + 16*u**2 + 8*u + 5. Factor a(y).
-3*(y + 1)*(y + 915)**2/5
Suppose 20*u - 18 = 22*u. Let c(b) = b**3 + 9*b**2 - b - 6. Let v be c(u). Factor 37*l**2 + 18*l**2 + 5*l**v - 35*l**2 + 20*l.
5*l*(l + 2)**2
Suppose -5 - 1 = -5*d + 2*u, -5*u = d - 12. Suppose -18*k**3 + 6*k**3 - 2*k**4 - 22*k**2 - 8*k + d*k**5 - 6*k**3 = 0. What is k?
-1, 0, 4
Let v(f) = 2*f**2 + 87*f + 46. Let a be v(-43). Factor -290*u + 601*u - a*u**2 - 395*u - 156.
-3*(u + 2)*(u + 26)
Factor -300/7 - 22*i - 2/7*i**2.
-2*(i + 2)*(i + 75)/7
Let d = 497 - 472. Let 0*m**4 + 40*m**2 + 14*m**3 - d*m**5 - 10*m**4 + 4*m + 77*m**3 + 8*m**3 = 0. What is m?
-2, -1/5, 0, 2
Let z(j) = j**4 + 5468*j**3 + 10965*j**2 + 5466*j + 24. Let b(y) = y**4 + 1823*y**3 + 3655*y**2 + 1821*y + 9. Let r(x) = 8*b(x) - 3*z(x). Factor r(m).
5*m*(m - 366)*(m + 1)**2
Let z = 78264 - 78264. Determine o so that -1/2*o**3 + 1 + z*o**2 + 3/2*o = 0.
-1, 2
Suppose 1349*n = 1347*n. Suppose w + 3*u - 12 = n, 12*u - 15*u = 3*w - 18. Solve 16/9*i - 2/9*i**5 + 8/9*i**2 - 4/3*i**w + 0 - 10/9*i**4 = 0.
-2, 0, 1
Let z = 54260/3 - 18086. Factor 64*q + z*q**2 + 1536.
2*(q + 48)**2/3
Determine c so that -813/4*c - 27/2*c**2 + 3/4*c**3 - 189 = 0.
-9, -1, 28
Let a be 1/2*0*1. Let x be ((-49)/(-14))/(2/4) + 1. Factor -m - x*m**2 - 3*m + 4*m**3 + 8 + a*m.
4*(m - 2)*(m - 1)*(m + 1)
Let o be 6*(5 - (-371)/14). Find j, given that 376*j**4 - o*j**4 + 12*j**3 - 190*j**4 = 0.
0, 4
Factor -30438*f**2 + 212783*f**2 + 4*f**4 - 2702*f**3 + 225926*f**2 - 210*f**3 + 121713*f**2.
4*f**2*(f - 364)**2
Factor 441*x - 1/2*x**4 - 301/2*x**2 - 34*x**3 + 0.
-x*(x - 2)*(x + 7)*(x + 63)/2
Suppose -43579*t = -43600*t + 42. Factor 0 - 33*j**t - 9*j - 21/4*j**3.
-3*j*(j + 6)*(7*j + 2)/4
Let q be 29 - 32 - (-20 + 13). Factor 0 + 6*t**3 + 0*t - 2/3*t**2 - 27/2*t**q.
-t**2*(9*t - 2)**2/6
Determine w, given that -282*w**2 + w**3 - 60*w**3 + 56*w**3 = 0.
-94, 0
Let j be 30/40*2/(-9) - -2. Let c = -2/21979 + 21985/65937. Suppose -c + j*f - 2*f**2 = 0. Calculate f.
1/4, 2/3
Let r(w) be the third derivative of 2*w**7/15 + 71*w**6/6 + 248*w**5/15 - 50*w**4/3 + w**2 + 1594*w. What is p in r(p) = 0?
-50, -1, 0, 2/7
Let t = -95639 - -95644. Solve -2/13*y**2 + 2*y**3 + 16/13 + 2/13*y**t - 14/13*y**4 - 28/13*y = 0.
-1, 1, 2, 4
Factor 2113 - 4*d**2 - 777 + 3380*d + 2200 - 152.
-4*(d - 846)*(d + 1)
Let k = 219/580 + -103/580. Determine t, given that 1/5*t**2 + k*t - 1/5*t**3 - 1/5 = 0.
-1, 1
Let w(u) be the first derivative of -u**3/3 + 28*u**2 - 55*u + 1315. Let w(d) = 0. What is d?
1, 55
Let f 