 18/7*t**3 + 24/7*t**2 + v*t + 0.
2*t*(3*t + 2)**2/7
Let k(d) = d**2 + d. Let u(l) = -3*l**2 + 0*l - 5*l + 1 + l - 2*l**2. Let s(z) = 9*k(z) + 2*u(z). Suppose s(n) = 0. What is n?
-1, 2
Let v(x) = x**3 + 2*x**2 - 3*x + 4. Let q be v(-3). Suppose 3*y = 2 + q. Factor 3*l**3 - 15*l**2 + 13*l**y + 0*l + 0*l.
l**2*(3*l - 2)
Let n(u) = -u**2 - 4*u**2 - 2*u + 4*u**2. Let y(p) = -2*p**2 + 4*p**2 + 6*p + 0*p. Let x(j) = -8*n(j) - 3*y(j). Factor x(s).
2*s*(s - 1)
Let o(k) be the second derivative of -k**6/10 - 3*k**5/10 + k**3 + 3*k**2/2 + 6*k. Factor o(r).
-3*(r - 1)*(r + 1)**3
Let l = -6 - -8. Let g be l + (8 - 6/3). Factor 6*i**3 + 6*i**2 + 0*i**3 - 4*i - g*i**4 + 6*i**5 - 6*i**4.
2*i*(i - 1)**3*(3*i + 2)
Let o(g) be the first derivative of g**5/25 + 3*g**4/20 + g**3/5 + g**2/10 - 23. Find s such that o(s) = 0.
-1, 0
Let c = 142/399 - 4/57. Factor -c*r + 0*r**2 + 4/7*r**3 - 2/7*r**5 + 0*r**4 + 0.
-2*r*(r - 1)**2*(r + 1)**2/7
Let f be (-2 + 5/2)*0. Suppose 3*u - 9 = 0, 5*y - 29 = -f*u - 3*u. Let -2*c**4 - 2*c**5 - 8*c**2 - 7*c**4 - 12*c**3 + c**y - 2*c = 0. What is c?
-1, 0
Let p = 3 - 0. Let t be 15/(-12)*(-6)/15. Factor 1/2*d**p - t*d - 1/2*d**2 + 1/2.
(d - 1)**2*(d + 1)/2
Let x(c) = -24*c**2 + 18*c - 4. Let u(g) = 23*g**2 - 18*g + 4. Let i be -1 - ((0 - -2) + 0). Let r(b) = i*x(b) - 4*u(b). Factor r(l).
-2*(2*l - 1)*(5*l - 2)
Let h be 216/20 + 2/10. Let c = 11 - h. Suppose 0*k - 7/2*k**3 + c - k**2 = 0. What is k?
-2/7, 0
Let p = 86 - 86. Determine c, given that 0*c**2 + p*c - 3/4*c**4 + 0 - 3/4*c**3 = 0.
-1, 0
Let n = -1348/7 - -193. Let z(p) = 3*p**2 + p - 1. Let t be z(1). Solve -3/7*i + n*i**t + 0*i**2 + 0 = 0 for i.
-1, 0, 1
Let g(s) = -6*s**2 - 6*s - 3. Let h(t) = t**2 + t + 5 - 6 - 2*t**2. Let j(l) = -3*g(l) + 3*h(l). Factor j(x).
3*(x + 1)*(5*x + 2)
Suppose -2*w + 7 = 3. Let s(r) be the first derivative of -4/3*r**3 + 2/5*r**5 + 1/3*r**6 - r**4 + 2 + w*r + r**2. Factor s(z).
2*(z - 1)**2*(z + 1)**3
Suppose -71*d = -111 - 31. Find p, given that -12/7 + 4/7*p**d + 8/7*p = 0.
-3, 1
Suppose -3*w + 1 = -2. Let j be 28/(-16) + w + 1. Solve 1/2*y**2 + 1/4*y + 0 + j*y**3 = 0.
-1, 0
Let u(i) be the third derivative of 0 + 1/6*i**3 + 0*i + 2*i**2 - 3/16*i**4 + 7/120*i**5. Factor u(q).
(q - 1)*(7*q - 2)/2
Let r = 1/11590 - -7637807/34770. Let m = r - 217. Factor -8/3*x**4 - 2/3*x**5 - m*x**2 - 2/3*x + 0 - 4*x**3.
-2*x*(x + 1)**4/3
Let p(a) be the first derivative of -a**6/6 - a**5/5 + 3*a**4/4 + a**3/3 - a**2 - 9. Factor p(i).
-i*(i - 1)**2*(i + 1)*(i + 2)
Let b(f) be the first derivative of 2*f**3/15 - 9*f**2/5 - 4*f - 34. Factor b(i).
2*(i - 10)*(i + 1)/5
Let g(i) be the second derivative of i**5/30 + 7*i**4/18 + 11*i**3/9 + 5*i**2/3 - 16*i. Factor g(v).
2*(v + 1)**2*(v + 5)/3
Let t(c) = 720*c**3 - 16*c**2 - 58*c + 2. Let d(o) = -o**3 + o**2 + o - 1. Let y(q) = -6*d(q) + t(q). Solve y(m) = 0 for m.
-1/3, 2/11
Let i = -5 - -17. Suppose 3*t = 12, -4*q + t = 4 - i. Find y such that q + 5*y**3 - 4*y + 3*y**2 - y**3 + y**4 - 7 = 0.
-2, -1, 1
Suppose -1/8*z - 1/8*z**2 + 0 = 0. Calculate z.
-1, 0
Let c be (2 + 14/(-4))*-2. Suppose -2*f**4 - c - 3*f**3 + 3 + f**3 = 0. Calculate f.
-1, 0
Let w(v) be the first derivative of -v**4/6 - v**3/15 - 2*v + 3. Let d(t) be the first derivative of w(t). Determine z, given that d(z) = 0.
-1/5, 0
Let k(t) be the first derivative of t**4/6 + 2*t**3/3 - 8*t/3 - 34. Factor k(z).
2*(z - 1)*(z + 2)**2/3
Let q(z) be the second derivative of z**9/1512 - z**7/210 + z**5/60 + z**3/2 - 2*z. Let k(p) be the second derivative of q(p). Find o, given that k(o) = 0.
-1, 0, 1
Let a be -3*-4*1/24. Factor -1/2*o + a - o**2.
-(o + 1)*(2*o - 1)/2
Let o(d) be the third derivative of 0*d**4 + 0*d + 0*d**6 + 0*d**5 + 0*d**3 + 1/420*d**7 + 1/672*d**8 + 0 - 3*d**2. Determine f so that o(f) = 0.
-1, 0
Let s = -1407/5 - -283. Find j, given that 0 - 16/5*j**2 - 2/5*j**4 + 2*j**3 + s*j = 0.
0, 1, 2
Let a(s) = s**3 + s**2 + s + 1. Let h(w) = 2*w**4 + 10*w**3 + 11*w**2 - 17*w - 5. Let d(l) = 20*a(l) + 4*h(l). Find t, given that d(t) = 0.
-6, -2, 0, 1/2
Let k = -23/30 - -7/6. Let o(p) be the first derivative of 0*p - p**2 - 3/2*p**4 - k*p**5 - 4 - 2*p**3. Solve o(y) = 0 for y.
-1, 0
Suppose 27*l - 28 = 20*l. Let u(g) be the third derivative of 0*g**3 - 1/72*g**l + 0 + 1/180*g**5 - g**2 + 0*g. Find y, given that u(y) = 0.
0, 1
Let b(u) = 4*u**2 - 41*u - 31. Let g be b(11). Suppose 0*t + 0 + 5/2*t**3 + 2*t**4 + 1/2*t**g = 0. What is t?
-1, -1/4, 0
Let z be (0 - 12/21)*(9 + -13). What is v in -2/7*v**2 + z*v - 32/7 = 0?
4
Let u(h) be the third derivative of 0*h - 5/12*h**4 - 1/3*h**3 - 1/10*h**5 + 4/105*h**7 + 0 - 10*h**2 + 1/12*h**6. Determine y, given that u(y) = 0.
-1, -1/4, 1
Let o(i) = 4*i**2 - i + 1. Let v be o(1). Let r be 13/4*(-12)/(-78). Factor -r*w + 1/2*w**3 + 0 + 3/4*w**v - 3/4*w**2.
w*(w - 1)*(w + 1)*(3*w + 2)/4
Suppose 3*t + 2 = 3*k + k, t - 12 = -5*k. Suppose 0*s + 2/9*s**t + 0 = 0. What is s?
0
Let m(j) = -j**2 - 5*j + 2. Suppose -8 + 33 = -5*y. Let i be m(y). Let 0*a**3 + a**2 + 2*a**4 + i*a**3 - a**4 = 0. What is a?
-1, 0
Let -2/7*m + 4/7 + 2/7*m**3 - 6/7*m**2 + 2/7*m**4 = 0. What is m?
-2, -1, 1
Let l = 14 + -11. Let y be 2/6 - (-11)/l. Factor -3/2*n**y + 0 - 15/2*n**2 + 3*n + 6*n**3.
-3*n*(n - 2)*(n - 1)**2/2
Let q(g) be the first derivative of -10/27*g**3 + 2/9*g - 16/27*g**6 + 1 + 16/9*g**5 - 25/18*g**4 + 5/9*g**2. Suppose q(r) = 0. Calculate r.
-1/4, 1
Let y(a) be the first derivative of -3*a**5/35 + 3*a**3/7 - 3*a**2/7 + 4. Factor y(t).
-3*t*(t - 1)**2*(t + 2)/7
Factor -4*g**4 + 3*g + g + 4*g**2 + 114*g**3 - 118*g**3.
-4*g*(g - 1)*(g + 1)**2
Let r(t) be the third derivative of -t**5/330 + t**3/33 + 10*t**2. Solve r(s) = 0 for s.
-1, 1
Factor -2/5*g - 2/5*g**4 - 2/5*g**5 + 4/5*g**3 - 2/5 + 4/5*g**2.
-2*(g - 1)**2*(g + 1)**3/5
Find z such that -28/5*z**3 + 72/5 - 204/5*z - 32*z**2 = 0.
-3, 2/7
Let k(l) be the second derivative of l**9/7560 - l**8/3360 - l**7/1260 + l**6/360 - l**4/6 - 5*l. Let t(b) be the third derivative of k(b). Factor t(f).
2*f*(f - 1)**2*(f + 1)
Let i(j) be the second derivative of -j**7/14 - j**6/5 - 8*j. Solve i(s) = 0 for s.
-2, 0
Let q(b) be the first derivative of 14/3*b**3 + 8*b - 16*b**2 - 8. Factor q(u).
2*(u - 2)*(7*u - 2)
Let y(i) be the first derivative of 9*i**5/25 + 3*i**4/20 - 2*i**3/5 + 1. Factor y(q).
3*q**2*(q + 1)*(3*q - 2)/5
What is v in -1/2*v**4 + v**3 - v + 0*v**2 + 1/2 = 0?
-1, 1
Let s be 9 - (-28)/(-7) - (-4)/(-2). Factor 3/4*l**4 + 0 + 3/2*l**s + 0*l + 3/4*l**2.
3*l**2*(l + 1)**2/4
Suppose 0 = -z - 2*n + 10 - 2, -z + 4 = 4*n. Let o be z/5 - 6/15. Factor -u**2 + 8*u - 2*u + 2 - 7*u**o.
-2*(u - 1)*(4*u + 1)
Solve -1/3*q**3 + 0 + 0*q - 1/3*q**2 = 0.
-1, 0
Let p(s) = -s**3 - s**2 - s + 2. Let w be p(0). Suppose -w*z = z. Factor z*n + 1/3*n**3 - 1/3*n**2 + 0.
n**2*(n - 1)/3
Let 1/2*t**4 - 5/2*t**2 + 1/2*t**5 + 0 - t - 3/2*t**3 = 0. Calculate t.
-1, 0, 2
Let x(d) = 23*d**2 + 6*d - 2. Let p be ((-1)/3)/((-5)/60). Let v(z) = 12*z - 9 + 116*z**2 + 17*z + 0. Let f(a) = p*v(a) - 22*x(a). Suppose f(c) = 0. What is c?
-2/3, 2/7
Suppose -2 + 6 = 2*m. Factor 3*s**2 - 3*s**2 + 2*s**m.
2*s**2
Suppose -5 = -g, -g - 12 = -m - 3*g. Factor 2/5*n**3 + 2/5*n - 4/5*n**m + 0.
2*n*(n - 1)**2/5
Suppose 2*w + 66 = 70. Suppose q = 5*i - 13, 4*i = i + q + 9. Let 1/2*t**5 + 1/2*t + 0 + 3*t**3 + i*t**2 + w*t**4 = 0. Calculate t.
-1, 0
Let g(w) be the second derivative of 13*w**4/4 + w**3 + 2*w. Factor g(s).
3*s*(13*s + 2)
Let w(l) be the second derivative of 0 - 1/25*l**5 + 2*l - 1/30*l**3 + 0*l**2 + 1/12*l**4. Solve w(t) = 0 for t.
0, 1/4, 1
Let v be ((-1015)/42)/29 + 87/18. Factor 1/3*p + 0 + 7/6*p**v + 1/2*p**2 - 2*p**3.
p*(p - 1)**2*(7*p + 2)/6
Let n(z) be the second derivative of 0 - 1/3*z**3 + 3/4*z**2 - z + 1/24*z**4. Find j, given that n(j) = 0.
1, 3
Let 4/13*u**2 - 4/13 + 2/13*u - 2/13*u**3 = 0. Calculate u.
-1, 1, 2
Let o = -14 + 23. Factor -o*r + 5*r**2 + 2 - 5*r**4 - 4*r**4 + 9*r**3 + 2*r**4.
-(r - 1)**2*(r + 1)*(7*r - 2)
Factor 2/3*u**2 + 1/3 + 5/6*u + 1/6*u**3.
(u + 1)**2*(u + 2)/6
Let f = 48 + -25. Let u = f - 159/7. Find s, given that 2/7*s - 2/7*s**2 + u*s**4 - 2/7*s**3 + 0 = 0.
-1, 0, 1
Find f such that 13*f + 4*f - 10*f**2 - 7*f + 3*f**2 + f**3 = 0.
0, 2, 5
Suppose -56 = -3*a + 40. Factor -a*g**