c - 1)*(237*c - 2)**2/2
Let g(q) = -q**2 + 262*q + 1429. Let k(n) = -52*n - 286. Let y(f) = -4*g(f) - 22*k(f). Find i such that y(i) = 0.
-12
Let d(l) = -269*l - 4031. Let h be d(-15). Suppose 0*x + 0 - 8/13*x**h + 0*x**2 - 8/13*x**3 - 2/13*x**5 = 0. What is x?
-2, 0
Let i be (10556/(-882) + 12)*7. Factor 2/9*m**5 + i*m**4 + 0*m + 0 - 2/9*m**2 - 2/9*m**3.
2*m**2*(m - 1)*(m + 1)**2/9
Let s(x) = -64*x - 6909. Let w be s(-108). Determine n so that -6*n**3 + 6*n - w*n**2 - 3/2*n**4 + 9/2 = 0.
-3, -1, 1
Suppose 0 = -4*c - 24 + 4. Let g be c/(-15) + (-56)/(-21). Factor 0*r - 2/9*r**2 + 0 - 2/9*r**g.
-2*r**2*(r + 1)/9
Suppose -1/2*q**4 + 0*q + 0 - q**3 + 3/2*q**2 = 0. What is q?
-3, 0, 1
Let m(d) be the second derivative of -80*d**7/147 + 328*d**6/105 + 19*d**5/70 - 185*d**4/42 - 74*d**3/21 - 8*d**2/7 - 2*d - 14. Solve m(n) = 0 for n.
-2/5, -1/4, 1, 4
What is v in -15*v + 6 + 51*v - 89*v + 25*v**2 = 0?
3/25, 2
Let z be 26/(-12) + (-145)/(-58). Let y(r) be the second derivative of 1/40*r**5 + 0*r**4 + 0*r**2 + 0 - z*r**3 - 2*r. Solve y(o) = 0.
-2, 0, 2
Let z(o) be the first derivative of -o**4 + 4*o**3 + 8*o**2 - 101. Let z(m) = 0. What is m?
-1, 0, 4
Let d be (-48)/20*(-2)/8*5. Determine u, given that -16 + 16 + 23*u**2 - 5*u**2 - d*u**3 - 15*u = 0.
0, 1, 5
Let v(c) be the first derivative of 0*c + 2/15*c**3 + 9 - 2/5*c**2. What is d in v(d) = 0?
0, 2
Suppose g = 5*r + 30, -3*g + 72 = g - 4*r. Factor -g*s + 0 + 3 - 3*s**3 + 2 + 12*s**2 + 1.
-3*(s - 2)*(s - 1)**2
What is j in 32/5*j**4 - 312/5*j**3 - 22/5 - 424/5*j**2 - 174/5*j = 0?
-1/2, -1/4, 11
Let r(z) be the first derivative of z**3/30 + 17*z**2/10 + 33*z/10 + 96. Factor r(u).
(u + 1)*(u + 33)/10
Let i = 2968 - 2965. Factor 0*n + 0 - 5/2*n**i + 2*n**4 + 1/2*n**2.
n**2*(n - 1)*(4*n - 1)/2
Let w(l) be the second derivative of -1/6*l**4 + 0*l**2 + 5*l + 1/10*l**5 + 0*l**3 + 0 - 1/21*l**7 + 1/15*l**6. Factor w(y).
-2*y**2*(y - 1)**2*(y + 1)
Let r(k) be the third derivative of 0 - k**2 - 1/120*k**4 - 2/15*k**3 - 32*k + 1/600*k**5. Factor r(u).
(u - 4)*(u + 2)/10
Let u = -12 + 12. Find t, given that -t**2 + 13 - 23 - 15 + u*t - 10*t = 0.
-5
Let l(x) be the second derivative of 9*x + 0*x**3 + 0 - 2*x**2 + 1/3*x**4. What is r in l(r) = 0?
-1, 1
Let m(p) be the second derivative of 0 + 1/33*p**3 - 1/22*p**2 - 18*p + 1/330*p**6 - 1/110*p**5 + 0*p**4. Suppose m(f) = 0. What is f?
-1, 1
Let b(o) = 2*o**3 + 58*o**2 + 104*o + 60. Let d(u) = -5*u**3 - 118*u**2 - 208*u - 117. Let t(q) = -11*b(q) - 6*d(q). Determine f so that t(f) = 0.
-7, -1, -3/4
Factor -4/7*l**2 + 36/7*l - 32/7.
-4*(l - 8)*(l - 1)/7
Let b(w) be the first derivative of 1/2*w**4 + 0*w + w**2 - 7 + 4/3*w**3. Factor b(x).
2*x*(x + 1)**2
Factor -1520/9*b - 722/9 - 154/9*b**2 - 4/9*b**3.
-2*(b + 19)**2*(2*b + 1)/9
Let n(t) be the first derivative of -t**3/6 + 11*t**2/2 - 21*t/2 + 785. Determine i, given that n(i) = 0.
1, 21
Let o(c) be the first derivative of c**4/8 - c**3/3 + c**2/4 + 34. Factor o(q).
q*(q - 1)**2/2
Factor 2 + 7/6*d + 1/6*d**2.
(d + 3)*(d + 4)/6
Find x, given that -5*x**2 + 135*x - 28*x**4 - 12*x**4 - 97*x**3 - 38*x**3 + 567 - 522 = 0.
-3, -1, -3/8, 1
Let p = -2884 + 2887. Factor -1/5*w**2 - 1/5*w**p + 2/5*w + 0.
-w*(w - 1)*(w + 2)/5
Let o be -2 + -2 + 3 + 2. Let p be (0 - 1/o)/(-1). Factor -1 + r - r**2 + 1 + r**3 + p - 2*r.
(r - 1)**2*(r + 1)
Let h = -1 - -4. Determine f so that f**2 - 2*f**4 - 2*f + h*f**4 - 2*f**3 - 8*f**2 - 2*f = 0.
-1, 0, 4
Let w be -5*1*30/(-25). Suppose 4*s = w*s - 6. Find k such that -2*k**3 - k**s + 2*k**2 + k**3 = 0.
0, 1
Let y(n) = -n**4 + n**3 - n**2 + 1. Let l(o) = 245*o**5 + 335*o**4 - 115*o**2 + 20*o + 15. Let k(a) = l(a) - 15*y(a). Factor k(r).
5*r*(r + 1)**2*(7*r - 2)**2
Let a(v) = -6*v**4 + 12*v**3 + 33*v**2 - 33*v - 105. Let i(r) = -5*r**4 + 10*r**3 + 33*r**2 - 34*r - 106. Let q(u) = 2*a(u) - 3*i(u). Factor q(k).
3*(k - 3)**2*(k + 2)**2
Let l be 3/(-7) - (432/(-21))/6. Let i(f) = -f**5 + f**3. Let u(o) = 5*o**5 - 5*o**3. Suppose 25 = 3*k - 11. Let q(z) = k*i(z) + l*u(z). Factor q(x).
3*x**3*(x - 1)*(x + 1)
Let v(p) be the second derivative of 0*p**2 + 0 - 1/4*p**4 + 1/3*p**3 + 1/20*p**5 - 6*p. Factor v(r).
r*(r - 2)*(r - 1)
Suppose -7*w + 371 = -217. Let a be (w/(-8))/3*108/(-28). Find i such that 0 - 3*i**2 + 0*i - a*i**3 = 0.
-2/9, 0
Suppose 4*i + 84 = 4*n, -n - 12 = 5*i - 63. Let a = 31 - n. Let -22*s - a*s - 1 + 7 + 15*s**2 + 6 = 0. What is s?
4/5, 1
Suppose 8*l = 3*l + 40. Let d be (l/24)/(1/39). Factor 56*j**3 + d*j + 77*j**2 + 1 - 177*j**3 + 3 + 27*j.
-(j - 1)*(11*j + 2)**2
Let b(r) be the third derivative of r**8/53760 + r**7/3360 - 2*r**5/15 - 22*r**2. Let y(u) be the third derivative of b(u). Factor y(x).
3*x*(x + 4)/8
Let j(l) be the third derivative of 1/75*l**5 + 2/15*l**3 + 0 + 16*l**2 - 1/15*l**4 + 0*l. Factor j(b).
4*(b - 1)**2/5
Let d(v) = 3*v**3 - 270*v**2 - 5440*v - 13886. Let l(x) = -x**3 + 136*x**2 + 2720*x + 6942. Let q(g) = -6*d(g) - 14*l(g). Factor q(f).
-4*(f + 3)*(f + 34)**2
Let v(f) be the second derivative of 11/3*f**4 - 8/15*f**6 + 8/5*f**5 + 36*f**2 + 29*f - 22*f**3 + 0. Suppose v(j) = 0. Calculate j.
-2, 1, 3/2
Suppose -3*k**2 - 47*k**4 - 49*k**4 + 0*k**3 - 2*k**3 + 97*k**4 = 0. What is k?
-1, 0, 3
Let q be 4/39*(-15)/300*-30. Factor 8/13*d + 0 + q*d**4 + 10/13*d**3 + 16/13*d**2.
2*d*(d + 1)*(d + 2)**2/13
Let g(n) = n**2 + 4*n - 5. Let d be g(-6). Factor -4*j**3 - 2 - 3*j**2 - 2*j**4 + 2*j**5 + d*j**2 - j + 3*j.
2*(j - 1)**3*(j + 1)**2
Let a(g) be the third derivative of g**5/300 + 11*g**4/30 + 242*g**3/15 - 19*g**2. Factor a(c).
(c + 22)**2/5
Let z(l) be the second derivative of -l**5/25 - 7*l**4/30 + 4*l**3/15 - 90*l. Solve z(q) = 0.
-4, 0, 1/2
Suppose 39*a = -77*a. Determine s, given that -8/3*s + a - 2/3*s**3 - 10/3*s**2 = 0.
-4, -1, 0
Let n(h) be the third derivative of -h**5/15 + 23*h**4/6 - 28*h**3 - 119*h**2. Let n(q) = 0. Calculate q.
2, 21
Let s(g) = 35*g**5 + 371*g**4 - 259*g**3 + 45*g**2 + 1. Let u(l) = -l**5 - l**4 + l**3 + l**2 + 1. Let h(i) = -s(i) + u(i). Factor h(c).
-4*c**2*(c + 11)*(3*c - 1)**2
Let q(x) = 67*x - 199. Let i be q(3). Solve 8/9 + 4/9*y**i - 14/9*y + 2/9*y**3 = 0 for y.
-4, 1
Suppose 35*f + 323 = 393. Factor -1/7 + 1/7*w**5 - 3/7*w - 2/7*w**f + 2/7*w**3 + 3/7*w**4.
(w - 1)*(w + 1)**4/7
Solve 4/19*p**3 - 2/19*p**5 + 0 + 0*p**2 + 0*p**4 - 2/19*p = 0.
-1, 0, 1
Let v(i) be the first derivative of i**3/6 + 6*i**2 - 404. Factor v(l).
l*(l + 24)/2
Let m(u) be the second derivative of u**6/120 + u**5/10 + 3*u**4/8 - 7*u**3/2 - 22*u. Let p(d) be the second derivative of m(d). Determine w so that p(w) = 0.
-3, -1
Let k(s) be the third derivative of -4*s**2 + 0 - 1/300*s**6 + 0*s**3 + 0*s**4 + 0*s - 1/100*s**5. Solve k(n) = 0.
-3/2, 0
Solve 3/2*o**4 + 57*o**3 + 183*o - 180*o**2 - 123/2 = 0.
-41, 1
Factor 9*j**2 + 906*j - 4*j**2 + 885*j - 5*j**3 - 1771*j - 20.
-5*(j - 2)*(j - 1)*(j + 2)
Let h(d) be the first derivative of -5/18*d**2 - 1/27*d**3 - 1 - 4/9*d. Solve h(f) = 0.
-4, -1
Let d(f) = f**2 + 7*f + 12. Let n = -18 + 7. Let z be d(n). Suppose z*x + 4*x**2 + 4 + 0*x**2 - 48*x = 0. What is x?
-1
Let k be 130/18 + 1220/(-549). Determine p, given that -6/13*p**k + 4/13*p**2 + 0*p + 2/13*p**3 - 8/13*p**4 + 0 = 0.
-1, 0, 2/3
Let m(k) = 2*k**3 + 21*k**2 - 9*k - 190. Let s be m(-10). Factor -3/2*b**4 - b**3 + b + 3/2*b**2 + s.
-b*(b - 1)*(b + 1)*(3*b + 2)/2
Let j(c) = 2*c + 2. Let t(m) = -6*m**2 + 201*m - 117. Let k(r) = 6*j(r) + t(r). Determine l so that k(l) = 0.
1/2, 35
Let k be (-1)/((5 + -4)/(-3)). Let w be ((-6)/(-15))/((-1)/(-10)). Factor k*l**2 - 3*l + 7*l**2 - w*l**2 + 3*l**3 - 6 + 0.
3*(l - 1)*(l + 1)*(l + 2)
Let b(x) be the first derivative of 5*x**4/4 + 35*x**3/3 - 40*x**2 - 560*x - 293. Factor b(l).
5*(l - 4)*(l + 4)*(l + 7)
Let 8 + 5*s - 2*s + 3*s**2 + 9*s - 2*s = 0. Calculate s.
-2, -4/3
Let h = 0 + 3. Let d(u) be the second derivative of 5*u + 0 + 2/27*u**4 + 1/30*u**5 - 1/27*u**h - 2/9*u**2. Factor d(m).
2*(m + 1)**2*(3*m - 2)/9
Suppose -2*y + 13 = k, -2*k - 3*y + y + 16 = 0. Suppose -1 = k*t - 7. Find c such that -2*c + t*c**2 - c**2 - 2*c**2 = 0.
-2, 0
Determine z so that -3/4*z**2 - 2*z**3 + 0*z + 0 = 0.
-3/8, 0
Let o(d) be the third derivative of d**6/1440 - d**5/120 + d**4/32 - 7*d**3 - 36*d**2. Let s(f) be the first deriv