 is t?
-2/5, 1
Let a(j) = j**3 - j**2. Let p(y) = 18*y**3 - 24*y**2 + 12. Let w(k) = -15*a(k) + p(k). Factor w(t).
3*(t - 2)**2*(t + 1)
Let m(a) = 6*a**2 + 31*a + 11. Let c be -4 - (-4)/2 - 4. Let g be (-14)/((-7)/(21/c)). Let q(k) = 3*k**2 + 16*k + 5. Let d(v) = g*q(v) + 4*m(v). Factor d(w).
3*(w + 1)*(w + 3)
Suppose -2*w + 6*w = 8. Let k(l) be the third derivative of -1/60*l**5 - w*l**2 + 0*l + 0*l**3 - 1/120*l**6 + 0 - 1/630*l**7 - 1/72*l**4. Factor k(p).
-p*(p + 1)**3/3
Suppose -39 = -3*k + 9. Solve -8*q**2 - 11*q**2 + q**3 + 7*q**2 + 7*q**3 - 16*q + 4*q**4 + k = 0 for q.
-2, 1
Let f(c) be the first derivative of c**6/135 - c**5/45 + c**4/54 - 5*c + 3. Let d(m) be the first derivative of f(m). Suppose d(w) = 0. What is w?
0, 1
Factor 2/11*n**3 - 4/11*n**2 - 26/11*n - 20/11.
2*(n - 5)*(n + 1)*(n + 2)/11
Determine v so that 0 + 10/3*v**3 + 5*v - 35/3*v**2 = 0.
0, 1/2, 3
Find s, given that 86*s**2 - 80*s**2 - 3*s**3 + 4*s + 5*s = 0.
-1, 0, 3
Let s(o) = -o**3 - 5*o**2 - 1. Let t be s(-5). Let f = t + 5. Factor 0*g**2 + 0*g + 10/9*g**5 + 0 + 4/9*g**f + 0*g**3.
2*g**4*(5*g + 2)/9
Let v = -29 - -21. Let j be v/6*(-3)/8. Solve -1/4*k**5 + k**4 - 5/4*k**3 + 0 + j*k**2 + 0*k = 0.
0, 1, 2
Let n(b) be the first derivative of -b**6/30 + 2*b**5/25 - 2*b**3/15 + b**2/10 - 5. Let n(m) = 0. What is m?
-1, 0, 1
Factor -24*b**2 - 16*b + 44*b**2 + 17*b**3 + 4*b**5 - 20*b**4 - 5*b**3.
4*b*(b - 4)*(b - 1)**2*(b + 1)
Let p(o) be the second derivative of o**4/48 + o**3/6 + o**2/2 - 6*o. Solve p(i) = 0.
-2
Solve 0*x + 3*x**3 - 7*x**2 + 18*x - 8*x**2 = 0 for x.
0, 2, 3
Let r = 56 + -276/5. Factor 18/5*a**3 + 2*a**5 - r*a**2 + 0 + 0*a - 24/5*a**4.
2*a**2*(a - 1)**2*(5*a - 2)/5
Let k(r) be the third derivative of r**8/112 - r**7/70 - r**6/20 + r**5/10 + r**4/8 - r**3/2 + 7*r**2. Suppose k(w) = 0. What is w?
-1, 1
Factor -40/3*k + 2/3*k**2 + 200/3.
2*(k - 10)**2/3
Suppose 2*n - 34 = -34. Let 0 + 1/2*s**3 + s**2 + n*s = 0. What is s?
-2, 0
Let l(w) = -7*w**3 + 6*w**2 + 13*w - 6. Let j(x) = 20*x**3 - 18*x**2 - 38*x + 17. Let s(d) = -6*j(d) - 17*l(d). Factor s(i).
-i*(i - 7)*(i + 1)
Let z(o) be the first derivative of o**8/5040 + o**7/2520 - o**6/1080 - o**5/360 - o**3/3 + 1. Let r(t) be the third derivative of z(t). Factor r(d).
d*(d - 1)*(d + 1)**2/3
Let f(p) = -2*p**2 + 7*p - 1. Let m(c) = c**2 - 4*c + 1. Let s = -2 - 3. Let b(o) = s*m(o) - 3*f(o). Solve b(x) = 0.
-1, 2
Let h be (-1)/2*16/(-12). Suppose 4 = -w + 8, 2*a - 22 = -3*w. What is n in h*n**a + 4/3*n**2 - 2/3*n - 4/3*n**4 + 0 + 0*n**3 = 0?
-1, 0, 1
Let c(f) be the third derivative of -1/6*f**4 + 1/15*f**5 + 2*f**2 + 0*f**3 + 1/42*f**7 + 0 + 0*f + 13/120*f**6. Solve c(w) = 0.
-2, -1, 0, 2/5
Let z(t) be the second derivative of 0*t**2 - 2/35*t**5 + 0*t**4 - 3*t + 0*t**3 + 6/49*t**7 + 0 + 2/35*t**6. Solve z(f) = 0 for f.
-2/3, 0, 1/3
Let n(f) be the third derivative of -f**5/300 + f**3/30 + 5*f**2. What is z in n(z) = 0?
-1, 1
Let a(j) = 17*j - 370. Let y be a(22). Find i such that 2/13*i**5 + 12/13*i**3 + 2/13*i + 8/13*i**y + 8/13*i**2 + 0 = 0.
-1, 0
Suppose -4*g - 3*f = -14, 0 = -0*g - 2*g - 3*f + 10. Suppose 1/2*y**4 + 0*y + 0 + 1/2*y**g + y**3 = 0. Calculate y.
-1, 0
Let x(h) be the first derivative of -h**6 + 3*h**4 - 3*h**2 - 2*h + 4/3*h**3 - 2/5*h**5 - 2. What is q in x(q) = 0?
-1, -1/3, 1
Let o be (8/20)/(2/40). Let j be 7/2 - 4/o. Determine t so that -2*t**4 + j*t**3 - t - 3*t + 3*t = 0.
-1/2, 0, 1
Factor 4 + 2*c - 4*c**3 + 2*c + c**2 - 4*c**2 + 2*c**3 + c**4.
(c - 2)**2*(c + 1)**2
Suppose 3*b = 5*b. Let m be b + 10/8 + -1. Factor 0*s**2 - 1/4*s**4 + 0 + 0*s - m*s**3.
-s**3*(s + 1)/4
Suppose 4*d + 5*s - 2 = 0, -5*d = -2*d - 5*s - 19. Suppose 8 - 1 = 2*u - d*q, 1 = q. Determine r, given that 2*r**5 + 5 - u - 2*r**4 = 0.
0, 1
Let y(u) = -u**2 - 12*u - 9. Let w be y(-11). Let d(c) be the third derivative of 1/2*c**4 - c**w + 2/3*c**3 + 0*c + 0 - 1/8*c**6 - 1/60*c**5. Solve d(a) = 0.
-2/3, -2/5, 1
Let f = 9 - 4. Let t(l) = -152*l**3 + 192*l**2 - 52*l + 12. Let s(n) = 61*n**3 - 77*n**2 + 21*n - 5. Let z(g) = f*t(g) + 12*s(g). Find j, given that z(j) = 0.
0, 2/7, 1
Suppose 3*x - 5*k = -2, -2*x - k = -3 - 0. Suppose 0 - x - 2*d + 1 - 2*d**2 = 0. What is d?
-1, 0
Let f(h) = -5*h**2 - 2*h + 1. Let x(o) = 3*o**2 + o. Let p(q) = -2*f(q) - 3*x(q). Factor p(u).
(u - 1)*(u + 2)
Suppose 2*v = -0*v. Let x(u) be the first derivative of 1/2*u**4 - 2 + v*u - 2/3*u**3 + 2/5*u**5 - u**2. Factor x(k).
2*k*(k - 1)*(k + 1)**2
Let l(z) = -z**3 - 6*z**2 - 5*z + 5. Let t be l(-5). Suppose -t*r + 7 = -3. Solve 3 + 2 + r*n - 6 - n**2 = 0 for n.
1
Let u(k) = k**2 - 1. Let c(j) = -6*j**2 - 5*j + 1. Let a(y) = -c(y) - 5*u(y). Find t, given that a(t) = 0.
-4, -1
Let p(a) be the second derivative of -a**5/20 - a**4/12 + 12*a. Factor p(n).
-n**2*(n + 1)
Let z(l) = -85*l**5 - 165*l**4 - 45*l**3 + 20*l**2 + 5*l. Let j(b) = -127*b**5 - 248*b**4 - 67*b**3 + 30*b**2 + 8*b. Let g(a) = -5*j(a) + 8*z(a). Factor g(n).
-5*n**2*(n + 1)**2*(9*n - 2)
Let l be 2 - 2*(-4)/8. Find u, given that u - 6*u**2 + l*u + 7*u**2 = 0.
-4, 0
Let g = -95/3 + 32. Let r(o) be the first derivative of 0*o**3 - g*o**6 + 0*o**5 + o**4 - o**2 - 2 + 0*o. Factor r(i).
-2*i*(i - 1)**2*(i + 1)**2
Factor 0 - 1/4*u**3 + 0*u**2 + 1/4*u.
-u*(u - 1)*(u + 1)/4
Let b be (-10)/35 - (-63384)/70. Let k = 910 - b. Solve k*n**2 - 13/5*n - 9/5*n**3 + 2/5 = 0 for n.
1/3, 2
Let k = 47 - 44. Let w(s) be the third derivative of 0*s + 0 + k*s**2 + 1/112*s**8 + 0*s**3 + 0*s**7 - 1/20*s**6 + 1/8*s**4 + 0*s**5. Factor w(u).
3*u*(u - 1)**2*(u + 1)**2
Suppose -3*f = -5*o + 13 + 18, 2*o - 5*f = 20. Factor 3/2*z**3 - 1/2*z**o + 0 - 1/2*z**4 + 5/2*z**2 + z.
-z*(z - 2)*(z + 1)**3/2
Let b(m) be the first derivative of m**3/3 + 3*m**2/2 - 4. Solve b(c) = 0 for c.
-3, 0
Suppose 26 = -3*j - 37. Let n be 2 + (-39)/j - 3. Factor 6/7*a - 2/7 + 2/7*a**3 - n*a**2.
2*(a - 1)**3/7
Let u(j) be the first derivative of -1/3*j**2 - 4/9*j**3 + 1/3*j - 7 + 1/6*j**4 + 1/5*j**5. Factor u(b).
(b - 1)*(b + 1)**2*(3*b - 1)/3
Suppose 17 = y - t - 24, 39 = y - 3*t. Let b be (-9)/(y/(-4) - 0). Determine j so that -10/7*j**3 + 2/7*j**2 + b*j**4 + 2/7*j + 0 = 0.
-1/3, 0, 1
Let m = -15 - -17. Let a(n) be the first derivative of -2 - 11/2*n**4 - 3/2*n**6 - 1/2*n**m + 24/5*n**5 + 8/3*n**3 + 0*n. What is c in a(c) = 0?
0, 1/3, 1
Suppose -4*m + 16 = 3*j + 2*j, -j = 2*m - 2. Let w be (m/(-3))/((-3)/(-27)). Find y, given that 0*y**2 + 2/3*y**w - 2/3*y + 0 = 0.
-1, 0, 1
Let c(k) be the third derivative of -k**8/1176 - k**7/245 - k**6/140 - k**5/210 - 2*k**2. Factor c(j).
-2*j**2*(j + 1)**3/7
Factor 1/2*n - 1/4*n**2 - 1/8*n**3 + 1.
-(n - 2)*(n + 2)**2/8
Suppose 10 = 2*d - 2*n, 5*d + 2*n = 6*n + 26. Suppose 18*o**2 + 52*o**3 + 28*o**2 + 28*o**4 + d*o**5 + 4 + 26*o + 2*o**2 - 4*o = 0. Calculate o.
-1, -2/3
Factor w + 11*w**2 - 35*w**3 + 2*w**2 - 11*w + 32*w**2.
-5*w*(w - 1)*(7*w - 2)
Let b(m) be the third derivative of -m**6/200 - 2*m**5/75 + m**4/8 - 2*m**3/15 - 2*m**2 + 4. Solve b(o) = 0.
-4, 1/3, 1
Let v(i) be the first derivative of 5 + 0*i - 3/4*i**4 + 0*i**2 + 0*i**3 + 1/8*i**6 - 9/20*i**5. Find b such that v(b) = 0.
-1, 0, 4
Let o(u) be the third derivative of -9*u**2 - 1/15*u**5 + 0*u**4 + 0*u**3 - 16/105*u**7 - 1/6*u**6 + 0*u - 1/21*u**8 + 0. Suppose o(d) = 0. What is d?
-1, -1/2, 0
Factor -12/7*t**3 + 0*t - 4/7*t**2 - 12/7*t**4 + 0 - 4/7*t**5.
-4*t**2*(t + 1)**3/7
Let n = 145/798 - 2/133. Let s(m) be the third derivative of -n*m**4 + 0*m + 0 + 0*m**3 - m**2 + 1/30*m**5. Suppose s(x) = 0. What is x?
0, 2
Let v be (-1 - 0)/(1/(-2)). Determine k, given that -k**2 + 0*k**3 + k**3 + 2*k**v = 0.
-1, 0
Let t = 13/10 - 29/30. What is u in 0 - t*u**2 + 1/3*u = 0?
0, 1
Let j(x) = -3*x**2 + 6*x + 6. Let h(t) = 8*t**2 - 17*t - 17. Let n(c) = -6*h(c) - 17*j(c). Factor n(p).
3*p**2
Let d = 2 + -5. Let b be -1 + ((-6)/d - -2). Solve 6*o - 2*o**2 - 3*o**2 + 6*o**2 - b*o**2 - 4 = 0 for o.
1, 2
Let m(a) = 2*a**4 + 6*a**3 + a**2 + 3*a - 3. Let w(j) = 2*j**4 + 6*j**3 + 4*j - 4. Let l(s) = -4*m(s) + 3*w(s). Factor l(g).
-2*g**2*(g + 1)*(g + 2)
Factor 5*t**4 - t - 7*t**2 - 3*t**3 + 2 + 4*t + t**3 - t**3.
(t - 1)**2*(t + 1)*(5*t + 2)
Let g be 7*((-4)/2 + 1). Let q(k) = -k**3 - 7*k**2 + 3. Let b be q(g). Determine w, given that b*w**2 + 2*w + 1/2 +