 w(c).
c*(c - 2)*(c - 1)**2
Let q(j) be the third derivative of 0 - 1/12*j**5 - 2*j**2 + 5/12*j**4 - 5/6*j**3 + 0*j. Let q(i) = 0. What is i?
1
Let m be (184/(-414))/((-2)/18). Let d(b) be the second derivative of 0 + 0*b**2 + 4/3*b**3 + 6*b + 1/10*b**5 + 2/3*b**m. Factor d(g).
2*g*(g + 2)**2
Let w = -13 + 16. Suppose -f - 3*s + 3 = 0, -3*s = -w*f - 6*s + 3. Factor -2/7*i - 2/7*i**2 + f.
-2*i*(i + 1)/7
Let j(q) = 8*q**2 - 4145*q + 281535. Let g(r) = -3*r**2 + 1380*r - 93845. Let v(p) = -7*g(p) - 2*j(p). Solve v(t) = 0.
137
Let m(s) be the third derivative of -s**5/120 - s**4/24 - s**3/12 + 76*s**2. Factor m(v).
-(v + 1)**2/2
Suppose 3*u = -4*r - u + 32, r = 4*u - 17. Let i be r/(-4) - (-6)/8. Find z, given that 2/3*z**5 + 0*z**2 + 0*z**4 + i + 2/3*z - 4/3*z**3 = 0.
-1, 0, 1
Suppose 2*m - x = 2 + 2, 0 = -4*m + 5*x + 8. Solve 0*d**3 - 5*d**3 + 10*d + 6 - 2 - 4*d**m - 5*d**3 = 0 for d.
-1, -2/5, 1
Suppose 2*m + 2*d - 6*d - 26 = 0, 0 = 5*m + 4*d + 5. Determine s so that 2*s**2 + 9*s**m + s**3 + 2*s**4 - 14*s**3 = 0.
0, 1
Let w be (52 + 4)*(-6)/7. Let h be (-6)/16 - 162/w. Solve -3/7*u**5 + 6/7*u**h + 0*u**2 - 3/7*u**4 + 0*u + 0 = 0.
-2, 0, 1
Suppose 7*m = -2*j + 2*m + 15, 0 = -2*j - 2*m + 12. Let n be j + 45/(-12) - (-12)/(-16). Factor 0 - 1/2*q**5 - 1/2*q**4 + 1/2*q**2 + 0*q + n*q**3.
-q**2*(q - 1)*(q + 1)**2/2
Let u = 38/181 + 1077/905. Let -4/5*v**4 + 0 - 1/5*v + u*v**3 - 2/5*v**2 = 0. Calculate v.
-1/4, 0, 1
Let -11/3*c**3 + 28/3*c**2 - 4*c + c**5 - 8/3*c**4 + 0 = 0. What is c?
-2, 0, 2/3, 1, 3
Let b(w) be the first derivative of -w**6/252 + w**5/35 - w**4/21 + 13*w**3/3 + 21. Let m(h) be the third derivative of b(h). Suppose m(t) = 0. Calculate t.
2/5, 2
Let s(c) be the first derivative of -2*c**3/3 - c**2 - 43. Factor s(b).
-2*b*(b + 1)
Let m(x) be the second derivative of x**6/10 + 12*x**5/5 - 35*x**4/4 + 9*x**3 + 89*x. Factor m(w).
3*w*(w - 1)**2*(w + 18)
Let y be (0*(-1)/1)/(-1). What is z in -4*z**5 - z**4 + 16 - 17 + 8*z**3 + y*z**5 + 2*z**2 - 4*z = 0?
-1, -1/4, 1
Let n(c) = 10*c**3 - 18*c**2 + 2*c - 6. Let y(v) = -29*v**3 + 53*v**2 - 7*v + 17. Let f = 49 - 55. Let r(t) = f*y(t) - 17*n(t). Factor r(o).
4*o*(o - 2)*(o - 1)
Let r = 21 - 10. Let z = r + -7. Factor 0*x**2 + 6*x**3 - 8*x**2 - 6*x + z + 4*x**2.
2*(x - 1)*(x + 1)*(3*x - 2)
Let l(h) be the first derivative of -h**9/3024 + h**7/840 + 2*h**3 + 3. Let j(q) be the third derivative of l(q). Factor j(u).
-u**3*(u - 1)*(u + 1)
Suppose 2*v - 28 = 52. Let 34*k**2 + 76*k**2 - v*k + 85*k**4 - 140*k**3 + 5 + 0 - 20*k**5 = 0. Calculate k.
1/4, 1
Suppose 4*i + 214 = 3*l, 5 = i - 0. Determine t, given that -94 - 45*t + 197 - l - 10*t**2 = 0.
-5, 1/2
Let r(b) be the first derivative of b**6/24 - 11*b**5/20 + 5*b**4/8 + 53*b**3/6 + 133*b**2/8 + 49*b/4 - 365. Factor r(o).
(o - 7)**2*(o + 1)**3/4
Let z(u) be the second derivative of -u**6/6 - u**5/2 - 5*u**4/12 + 14*u - 5. Factor z(f).
-5*f**2*(f + 1)**2
Let f = 1559 + -1559. Let r(b) be the second derivative of -1/8*b**4 + 0*b**2 - 7*b + f + 3/20*b**5 + 1/20*b**6 - 1/2*b**3. Factor r(p).
3*p*(p - 1)*(p + 1)*(p + 2)/2
Let w(l) = 3*l - 25. Suppose 4*i - 4*c = 40, i + 4*c + c - 4 = 0. Let v be w(i). Factor 2/7*f**v + 0 + 0*f.
2*f**2/7
Suppose 0 = x - 1 - 1. Let r = 1 + x. What is g in 24*g**3 + 72*g**2 + 10*g**r + 27*g + 5*g**3 + 9*g**3 = 0?
-3/4, 0
Let q be (-30)/(-108)*9*9/5. Factor -q + 3/4*z + 3/4*z**2.
3*(z - 2)*(z + 3)/4
Factor 120/7 + 16/7*n**2 - 172/7*n.
4*(n - 10)*(4*n - 3)/7
Let y = -36 - -22. Let f = 16 + y. Factor 3*j**2 + 3*j**f - 3*j**2.
3*j**2
Let t(u) = -u + 1 + 3*u - u. Let l be t(2). Factor -4*r**3 + l*r + 4*r + 2*r**5 - 5*r.
2*r*(r - 1)**2*(r + 1)**2
Let n be -13 + 15 - (-23)/(-12). Let t(h) be the second derivative of -1/2*h**3 + h + n*h**4 + 0*h**2 + 0. Solve t(g) = 0 for g.
0, 3
Let y(a) be the first derivative of a**3 + 33*a**2/2 - 306*a + 8. Solve y(g) = 0 for g.
-17, 6
Let a(j) be the third derivative of -j**5/120 + 5*j**4/48 - j**3/3 + 48*j**2. Factor a(l).
-(l - 4)*(l - 1)/2
Let u(s) be the third derivative of s**6/720 - s**5/240 - s**4/24 + 5*s**3/3 - 6*s**2. Let z(k) be the first derivative of u(k). Find t such that z(t) = 0.
-1, 2
Let h(o) be the third derivative of 0*o + 5/12*o**4 + o**3 + 1/30*o**5 - 1/60*o**6 + 2*o**2 + 0. Factor h(f).
-2*(f - 3)*(f + 1)**2
Let c(f) = 11*f**2 - 7*f. Suppose -5*v = 4*h - 30, -21 = -4*h - h + 2*v. Let t(o) = -10*o**2 + 6*o. Let r(b) = h*c(b) + 6*t(b). Factor r(j).
-j*(5*j - 1)
Let x(i) = 32*i + 58. Let c(h) = -h**2 - h + 5. Let s(r) = 2*c(r) + x(r). Suppose s(j) = 0. Calculate j.
-2, 17
Factor 2*f**2 - 7*f**3 - 10*f**3 + 20*f**3 - 47*f**2 + 42*f.
3*f*(f - 14)*(f - 1)
Let j(m) = -3*m**4 + 72*m**3 - 81*m**2 - 4. Let d(i) = 5*i**4 - 70*i**3 + 80*i**2 + 5. Let x(p) = -4*d(p) - 5*j(p). What is y in x(y) = 0?
-17, 0, 1
Let h be -10 + 21 + (-1 - -2) + -4. Suppose h = 7*v - 13. Let -9/4*m**v + 3/4*m**4 + 0 + 9/4*m**2 - 3/4*m = 0. What is m?
0, 1
Let y be (-870)/(-108) + -1 - 7. Let c(x) be the second derivative of -4*x + 1/9*x**3 + 0 + y*x**4 - 2/3*x**2. Determine u, given that c(u) = 0.
-2, 1
Let j(n) be the second derivative of n**6/10 - 3*n**5/5 + 3*n**4/2 - 2*n**3 + 3*n**2/2 + 133*n. Factor j(q).
3*(q - 1)**4
Let v = 34138/17 - 2008. Find c, given that 0*c + v*c**3 + 2/17*c**2 + 0 = 0.
-1, 0
Suppose 28 = -28*l + 35*l. Let o(z) be the second derivative of -1/20*z**6 + 1/4*z**l + 0*z**3 - 3/4*z**2 + 0*z**5 + 0 + z. Let o(m) = 0. What is m?
-1, 1
Suppose -4*x + 2*q = -3*q - 5, -2 = 4*x + 2*q. Solve 6/5*r**2 + 0 + 2/5*r**3 + x*r = 0.
-3, 0
Suppose 29 = 5*z + 9. Suppose -4*a + 4*p - 7 = -31, z = -p. Factor 2/11*x**a + 16/11*x + 32/11.
2*(x + 4)**2/11
Let p be (4/42*1)/((-90)/14). Let x = 28/135 - p. Let x + 0*f - 4/3*f**2 - 16/9*f**3 - 2/3*f**4 = 0. What is f?
-1, 1/3
Let y = 6407/5624 - 10/703. Factor 3/8*r**2 + y*r + 0.
3*r*(r + 3)/8
Let -52/9*o**2 + 8 - 4/9*o**4 - 28/9*o**3 + 4/3*o = 0. Calculate o.
-3, -2, 1
Let t(m) be the second derivative of m**4/18 + m**3 + 20*m**2/3 - 113*m. Factor t(w).
2*(w + 4)*(w + 5)/3
Let p(l) be the first derivative of -l**7/420 - l**6/60 - 3*l**5/80 - l**4/24 + l**3 + 1. Let o(t) be the third derivative of p(t). Factor o(v).
-(v + 2)*(2*v + 1)**2/2
Factor -1/9*l**5 + 0*l**3 + 2/9*l**2 + 1/9*l - 2/9*l**4 + 0.
-l*(l - 1)*(l + 1)**3/9
Let f(a) be the third derivative of 0*a**3 + 0*a + 11 + 11/140*a**6 + 1/21*a**4 - 25/2352*a**8 + 3*a**2 - 1/294*a**7 - 11/105*a**5. Let f(t) = 0. What is t?
-2, 0, 2/5, 1
Let g(c) be the first derivative of -c**8/5040 + c**7/2520 + c**6/1080 - c**5/360 + 14*c**3/3 - 13. Let r(n) be the third derivative of g(n). Factor r(z).
-z*(z - 1)**2*(z + 1)/3
Suppose 8*w = 4*x - 44, 11 = 3*x - w - 2. Let 2*r - 3*r**2 - 1/3 + 4/3*r**x = 0. Calculate r.
1/4, 1
Let b(a) = -123*a - 120. Let p be b(-1). Factor 0 + 1/2*w**p + 0*w - 1/2*w**2.
w**2*(w - 1)/2
Suppose 4*i - 5*v = 32, 4*v = -2*i - 3*i - 1. Solve 3*r + 21*r**2 + 19*r**2 - 11*r - 42*r**i = 0 for r.
0, 2/7, 2/3
Let a = -7/46 + 436/69. Let l = a + -17/3. Determine d, given that 3/4*d**4 + l*d**3 + 1/4*d**5 + 0 + 0*d + 0*d**2 = 0.
-2, -1, 0
Suppose -4*k - 1 + 7 = -y, y + 3*k = 8. Let i(a) = -4*a - 1. Let d be i(-2). Find t such that -d*t - 4*t - t - 15*t**y + 3 = 0.
-1, 1/5
Let k(y) = 5*y**2 + 154*y - 159. Let f(b) = -25*b**2 - 772*b + 797. Let m(o) = -2*f(o) - 11*k(o). What is s in m(s) = 0?
-31, 1
Solve -1/4*a + 3 - 1/4*a**2 = 0 for a.
-4, 3
Let n(f) = 5*f**4 - 4*f**3 - 23*f**2 - 14*f. Let j(l) = -30*l**4 + 25*l**3 + 140*l**2 + 85*l. Let b(i) = -6*j(i) - 35*n(i). Factor b(d).
5*d*(d - 4)*(d + 1)**2
Let x(u) be the third derivative of u**5/15 + 17*u**4/3 + 578*u**3/3 + 23*u**2. Factor x(f).
4*(f + 17)**2
Let b(y) = 3*y + 14. Let f be b(4). Let l = f - 24. Let 9*s + 3*s**3 - 1 + 9*s**l + 6 - 2 = 0. Calculate s.
-1
Solve 32/5 - 66/5*k + 4/5*k**2 = 0 for k.
1/2, 16
Suppose 10*n - 192 = 2*n. Suppose -15*p**3 - 4*p + 10*p**4 + 14*p + 24 - 15*p**2 - n = 0. Calculate p.
-1, 0, 1/2, 2
Factor -10/9 - 2/9*u**3 + 2*u - 2/3*u**2.
-2*(u - 1)**2*(u + 5)/9
Solve -1/2*c**3 + 0*c**2 + 0 + 0*c + 0*c**4 + 1/8*c**5 = 0.
-2, 0, 2
Determine p so that -14/13*p - 8/13*p**2 + 2/13*p**3 + 20/13 = 0.
-2, 1, 5
Let n(u) be the first derivative of 0*u + 1/6*u**6 + 22 + 3/4*u**4 + 0*u**2 + 1/3*u**3 + 3/5*u**5. Factor 