**4/12 + 1121*y**3/18 - 3481*y**2/18 - y + 17. Factor u(w).
(w - 1)*(w + 59)**2/9
Let c = -9709/9 + 1079. Solve -2/3*y - c*y**3 + 2/9 + 2/3*y**2 = 0 for y.
1
Let t(o) = -o**2 - 10. Let k be t(0). Let b be -2 + k/25*45/(-8). Let -1/4*j**2 + 1/4*j**3 + b*j**4 + 0 - 1/4*j = 0. Calculate j.
-1, 0, 1
Let q(j) be the second derivative of 2/21*j**4 + 1 + 3/70*j**5 - 2/7*j**2 - 1/21*j**3 + 23*j. Factor q(r).
2*(r + 1)**2*(3*r - 2)/7
Let i(k) be the second derivative of -k**6/75 + k**5/5 - 6*k**4/5 + 56*k**3/15 - 32*k**2/5 - 49*k. Determine n, given that i(n) = 0.
2, 4
Let z(d) = 2*d**3 - 2*d**2 + d - 9. Let r be z(3). Solve -59*y**2 + 33*y**2 - 4*y + r*y**2 = 0 for y.
0, 1
Let u be (-184)/(-56) + 0 + (-4)/14. Factor -24 + 6*f - 6 - f + 0*f**3 + 20*f**2 + 5*f**u.
5*(f - 1)*(f + 2)*(f + 3)
Suppose 5*t + 25 = 4*d, -3*d + 16 = -21*t + 20*t. What is l in -18*l + 3 + 117/4*l**3 + 87/4*l**2 - 81/4*l**d - 135/4*l**4 = 0?
-2, -1, 1/3, 2/3
Factor -p + 4 - p**2 - p + 3*p + 2*p.
-(p - 4)*(p + 1)
Suppose -46*s - 10 + 1 = -49*s. Factor -25/3*g**4 + 0 - 20/3*g**2 - 40/3*g**s - 5/3*g**5 + 0*g.
-5*g**2*(g + 1)*(g + 2)**2/3
Let c = 160 - 479/3. Determine l, given that -4/3*l**2 - 4/3*l - c = 0.
-1/2
Let h = 13599 + -13597. What is s in -1/3*s**2 + h*s - 3 = 0?
3
Let b = -15 + 19. Factor 18*c**2 - b*c**4 - 13*c**2 - 22*c**2 - 24*c**3 - 19*c**2.
-4*c**2*(c + 3)**2
Solve 0 + 8/7*v - 6/7*v**3 + 8/7*v**2 - 2/7*v**5 - 8/7*v**4 = 0.
-2, -1, 0, 1
Let r(z) be the third derivative of z**5/30 + 31*z**4/3 + 3844*z**3/3 + 258*z**2 - 1. Factor r(s).
2*(s + 62)**2
Suppose 5*s + 45 - 11 = -r, 2*r - 4*s = 2. Let x(b) = 13*b**2 - 7*b + 25. Let f(n) = -3*n**2 + 2*n - 6. Let u(a) = r*f(a) - 2*x(a). Factor u(j).
(j - 2)**2
Let b(g) be the first derivative of -3*g**6/5 - 6*g**5/25 + 87*g**4/10 - 102*g**3/5 + 102*g**2/5 - 48*g/5 + 9. Solve b(h) = 0 for h.
-4, 2/3, 1
Suppose 18 + 0 = 9*q. Let 25*i**3 - 40*i + i**4 - 20 + 5*i**4 - i**4 - 5*i**q - 5*i**5 = 0. Calculate i.
-1, 2
Let o = 2353 + -7175/3. Let g = o - -40. Factor -16/3*s - g*s**2 - 16/3.
-4*(s + 2)**2/3
Suppose 4*p + 5*a = 255, 0*p - 4*p = -2*a - 234. Let s = 60 - p. Factor 0*g + 0 - 1/9*g**5 - 2/9*g**4 + s*g**2 - 1/9*g**3.
-g**3*(g + 1)**2/9
Suppose 3*l - 453 = -3*u, 5*u + 4*l = -0*u + 752. Let 28*c**4 + 48*c**3 - 20 + u*c**2 + 122*c**3 + 40*c + 17*c**4 + 37*c**2 = 0. Calculate c.
-2, -1, 2/9
Factor 65*t**3 - 5 - 17*t**2 + 35*t - 20*t**4 - 21*t**2 + 31*t**2 - 68*t**2.
-5*(t - 1)**3*(4*t - 1)
Let y(t) be the first derivative of -2*t**3/3 - 2*t**2 + 6*t + 19. Find p, given that y(p) = 0.
-3, 1
Let x(i) be the first derivative of -3*i**4/28 - i**3/7 + 6*i**2/7 + 12*i/7 + 28. Let x(r) = 0. What is r?
-2, -1, 2
Suppose -4*g = -99 + 83. What is w in 6/7*w**3 + 2/7*w**5 + 6/7*w**g + 0 + 0*w + 2/7*w**2 = 0?
-1, 0
Suppose 11/2*z**2 + 1/4*z**5 + 21/4*z**3 + 0 + 2*z**4 + 2*z = 0. What is z?
-4, -2, -1, 0
Let f(i) be the third derivative of i**7/1400 - i**6/150 + i**5/40 - i**4/20 - 2*i**3 + 41*i**2. Let k(t) be the first derivative of f(t). Factor k(o).
3*(o - 2)*(o - 1)**2/5
Let p(w) be the first derivative of -w**6/24 - w**5/4 - 3*w**4/16 + 5*w**3/12 + w**2/2 - 78. Solve p(a) = 0 for a.
-4, -1, 0, 1
Let y(g) be the third derivative of g**8/168 - 13*g**7/525 - g**6/50 + 2*g**5/15 + 2*g**4/15 - 61*g**2 + g. Let y(p) = 0. What is p?
-1, -2/5, 0, 2
Let n(g) = -g**2 + 5*g + 1. Let z(a) = -a**2. Let s(w) = -n(w) + 2*z(w). Let p be s(-4). Let -3*i**2 + 6*i**p - i + i - 3*i + 0*i**3 = 0. Calculate i.
-1/2, 0, 1
Let w be (1 + 3/(-6) + -2)/10. Let q = w - -29/60. Factor q*i - 2/3 + 1/3*i**2.
(i - 1)*(i + 2)/3
Find y, given that -1/5*y**2 + 4/5*y + 1 = 0.
-1, 5
Let z(p) be the second derivative of -p**9/120960 + p**7/20160 + p**4/2 - 5*p. Let w(x) be the third derivative of z(x). Determine y, given that w(y) = 0.
-1, 0, 1
Determine b, given that 0 + 0*b**2 + 1/2*b**5 + b**3 - 3/2*b**4 + 0*b = 0.
0, 1, 2
Let k be 3*(11 + 650/(-60)). Find q, given that 1/4*q - 9/4*q**2 + k - 13/4*q**3 - 5/4*q**4 = 0.
-1, 2/5
Suppose c = -344 + 344. Suppose -4*l = 2*h - 2, -4*h + 5*l + 24 - 7 = c. Determine x so that -3*x - h - 3/4*x**2 = 0.
-2
Solve 2/5*a - 4 + 4*a**2 - 2/5*a**3 = 0.
-1, 1, 10
Let k(y) = -3*y - 21. Let a be k(-8). Let v(m) be the first derivative of 4 - 1/12*m**a - 3/8*m**2 - 1/2*m. Solve v(b) = 0 for b.
-2, -1
Let q(l) be the third derivative of -l**8/112 + 13*l**7/420 + 3*l**6/80 - 23*l**5/120 - l**4/16 + 5*l**3/6 + 17*l**2 - 2*l. Let q(j) = 0. What is j?
-1, -5/6, 1, 2
Suppose 142 = -3*n + 130. Let z be -1*2/7*n. Determine y so that 8/7 - 6/7*y**2 - 8/7*y - 2/7*y**4 + z*y**3 = 0.
-1, 1, 2
Let d(v) = -7*v**4 + 8*v**3 + 7*v**2 - 13*v - 5. Let x = 77 - 80. Let p(c) = -4*c**4 + 4*c**3 + 4*c**2 - 7*c - 3. Let i(f) = x*d(f) + 5*p(f). Solve i(y) = 0.
-1, 0, 1, 4
Let x(c) = 2*c**3 + 2*c**2 - 4*c + 3. Suppose 3*u - 4*u = 4. Let z(q) = 2*q**2 + 5*q - 4 - 4*q**2 - 4*q**3 + q**3. Let i(r) = u*x(r) - 3*z(r). Factor i(f).
f*(f - 1)**2
Let q(s) = -s**3 + 8*s**2 - 11*s + 27. Let a be q(7). Let c be -2 - -1*((a - 3) + 6). Factor c*u**2 + 2/3*u**3 + 0 - 2/3*u.
2*u*(u - 1)*(u + 1)/3
Determine h so that 2*h + 288*h**4 - 113*h**3 - 64*h**5 + 301*h**3 - 1223*h**2 + 1079*h**2 + 18*h = 0.
-1, 0, 1/4, 5
Let p be 6/((-5)/(-100)*5). Suppose -24 = -15*t - p. Factor -1/7*v**3 + t*v**2 + 0*v + 1/7*v**5 + 0 + 0*v**4.
v**3*(v - 1)*(v + 1)/7
Factor -6 + 2*f**5 + 4*f**3 - 28*f**2 - 22*f - f**3 - 15*f**3 + 2*f**4.
2*(f - 3)*(f + 1)**4
Let t(h) be the second derivative of -h**6/150 - 21*h**5/100 + 11*h**4/30 + 182*h. Suppose t(m) = 0. What is m?
-22, 0, 1
Suppose -8 = -4*s + 12. Let v = -6 - -8. Suppose 3*g**2 - 4 + v - 6*g + s = 0. Calculate g.
1
Let f(g) = 8*g**2 + 4. Let k(x) = 9*x**2 + 5. Suppose -5*y + 22 = 3*m, -m = -4*y - 0*m + 21. Let d(l) = y*f(l) - 4*k(l). Factor d(s).
4*s**2
Let j(d) = -d**3 + d**2 - d - 5. Let b be j(0). Let n(u) = u**3 + 5*u**2 + 2. Let z be n(b). Factor -3*c**3 - c - 7*c**2 + 7*c**z + 4*c**3 + c**2 - 1.
(c - 1)*(c + 1)**2
Let i(v) be the third derivative of -v**8/336 - v**7/105 + v**6/40 + v**2 + 58. Factor i(n).
-n**3*(n - 1)*(n + 3)
Let r be (-1 + (0 - 2)/(-8))*(-44)/165. Let r - 2/5*s + 1/5*s**2 = 0. Calculate s.
1
What is l in 0 - 48/7*l**2 + 4/7*l**5 + 0*l - 32/7*l**3 + 4/7*l**4 = 0?
-2, 0, 3
Factor 1/2*x**5 + 19*x**3 + 12*x + 0 - 26*x**2 - 11/2*x**4.
x*(x - 6)*(x - 2)**2*(x - 1)/2
Factor -6/5*d - 2/15*d**2 - 16/15.
-2*(d + 1)*(d + 8)/15
Solve -25/2*w**5 - 12 + 15*w**4 + 161/2*w**3 - 21*w**2 - 50*w = 0 for w.
-2, -2/5, 1, 3
Let f(l) = l**2 - 4*l - 3. Let d be f(4). Let n be 15/(-3)*(2 + d). Determine a, given that 29*a**4 + 2*a**n - 8*a**2 - 4*a + 2*a**2 + 2*a**3 - 23*a**4 = 0.
-2, -1, 0, 1
Let a(o) be the second derivative of -1/6*o**3 - 1/20*o**5 + 0 + 0*o**2 - 1/6*o**4 + 3*o. Let a(z) = 0. Calculate z.
-1, 0
Let k(i) = -4*i**3 + i**2. Let q be k(-1). Let f be ((-1)/(-2))/(q/40). Solve 2 - 2*w**2 + 2*w - f*w + 7*w**3 - 5*w**3 = 0.
-1, 1
Suppose -21 = -21*s + 21. Let a(f) be the second derivative of 0 + 13/3*f**3 + 2/3*f**4 - 6*f + 3*f**s. Solve a(o) = 0 for o.
-3, -1/4
Let n = 10 - 12. Let g(p) = p**2 + 2*p + 3. Let r be g(n). Determine m, given that -m + 2*m**2 + 0*m**2 - m**2 - r*m**2 = 0.
-1/2, 0
Suppose -5*j + 173*t = 175*t, -3*j + 4*t + 26 = 0. Factor 0 + 3/5*r + 1/5*r**j.
r*(r + 3)/5
Let v(n) = 4*n**3 + n**2 + 2*n - 1. Let f be v(1). Factor f*r - 3 + 48*r**3 + 902*r**2 + 21*r - 974*r**2.
3*(r - 1)*(4*r - 1)**2
Let k(g) = -17*g**4 - 3 + 2*g**5 + 11*g**4 + 1 - 11*g**3 - 12*g - 19*g**2. Let c(z) = -z**5 - z**3 + z**2 + z. Let m(w) = -6*c(w) - 2*k(w). Factor m(j).
2*(j + 1)**4*(j + 2)
Let f(a) be the second derivative of a**6/72 + a**5/6 + 5*a**4/8 + a**3/2 - 11*a. Let s(y) be the second derivative of f(y). Factor s(l).
5*(l + 1)*(l + 3)
Let g(r) = -27*r**2 - 360*r + 633. Let l(z) = -7*z**2 - 91*z + 158. Let n(q) = 4*g(q) - 15*l(q). Factor n(o).
-3*(o - 2)*(o + 27)
Suppose -231 = -2*h - 5*x, -x + 3*x - 374 = -3*h. Let d = 130 - h. Factor -2 - 81/2*g**d + 18*g.
-(9*g - 2)**2/2
Let n(y) = y**3 + 120*y**2 + 3846*y + 3718. Let z(u) = u**3 + 121*u**2 + 3845*u + 3719. Let a(v) = -4*n(v) + 6*z(v). Factor a(b).
2*(b + 1)*(b + 61)**2
Factor 1/4*i**2 + 9*i + 35/4.
(i + 1)*(i + 35)/4
Let j(n) be the first derivative of -4*n**5 + 15*n**4/4 + 15*n**3 + 5