 y(n) be the first derivative of 4/15*n**3 + h*n - 3/5*n**2 - 1 - 6/25*n**5 + 1/15*n**6 + 1/5*n**4. Suppose y(c) = 0. What is c?
-1, 1
Suppose -8 = 2*j + 3*l - 0, -2*j + l = -8. What is d in 10*d + 74*d - 3 - 2 - 270*d**j - 3 + 243*d**3 = 0?
2/9, 2/3
Let t(u) be the third derivative of -u**5/330 + u**4/33 - u**2. Factor t(g).
-2*g*(g - 4)/11
Suppose -4*h = -0*h - 16. Let -3*c + 2*c**2 + h*c + 4*c + 2 = 0. Calculate c.
-2, -1/2
Factor 0*a**4 - 4*a**2 + a**4 + 6*a**3 - 3*a**4.
-2*a**2*(a - 2)*(a - 1)
Let c be (4/6)/((-1)/(-6)). Suppose -c*b = b. Find l, given that b*l**3 + 0*l - l**2 + 1/2 + 1/2*l**4 = 0.
-1, 1
Let x(m) be the second derivative of m**8/3360 - m**7/1680 - m**6/360 - m**3/2 - 5*m. Let l(j) be the second derivative of x(j). Suppose l(a) = 0. Calculate a.
-1, 0, 2
Solve 0 - 3/5*q**2 + 0*q + 3/5*q**5 + 9/5*q**3 - 9/5*q**4 = 0 for q.
0, 1
Let m(w) be the first derivative of 25/9*w**3 + 4/3*w + 10/3*w**2 + 1. Factor m(a).
(5*a + 2)**2/3
Let t(q) be the third derivative of -2*q**7/105 - q**6/30 + q**5/15 + q**4/6 - 4*q**2 + 8*q. Factor t(w).
-4*w*(w - 1)*(w + 1)**2
Let h(s) be the first derivative of s + 2/3*s**3 + 1/8*s**4 + 5/4*s**2 + 5. Factor h(o).
(o + 1)**2*(o + 2)/2
Suppose -5/4*q**2 - 3/4*q**3 + 11/4*q - 3/4 = 0. Calculate q.
-3, 1/3, 1
Let j(q) be the first derivative of -3*q**4/4 - 14. Factor j(x).
-3*x**3
Let w(h) be the first derivative of 6*h**3 - 7*h**2 - 4*h - 11. Factor w(a).
2*(a - 1)*(9*a + 2)
Let d(y) be the third derivative of -y**9/10080 - y**8/4480 + y**4/8 + 5*y**2. Let h(w) be the second derivative of d(w). Determine s, given that h(s) = 0.
-1, 0
Let y(j) = -2*j**3 - 6*j**2 + 4*j + 4. Let z(q) = -2*q**3 - 5*q**2 + 4*q + 3. Let x be ((-1)/(-3))/((-1)/(-12)). Let c(n) = x*z(n) - 3*y(n). Factor c(k).
-2*k*(k - 1)*(k + 2)
Let r = 1 - 3. Let v be 11 + -7 + -2 + r. Determine q so that 1/2*q**2 + v + 0*q - 9/4*q**3 + q**4 + 15/4*q**5 = 0.
-1, 0, 1/3, 2/5
Let q(r) be the second derivative of r**4/6 - r**3/3 - r. Let k(l) = l**3 + 3*l - l - 3*l**2 + 0*l. Let g(f) = 2*k(f) + 3*q(f). Solve g(i) = 0.
-1, 0, 1
Let g = 27 + -20. Let i(z) be the third derivative of 0*z**6 + 0 + 0*z + 1/27*z**3 - 1/135*z**5 + 0*z**4 - 3*z**2 + 1/945*z**g. Factor i(s).
2*(s - 1)**2*(s + 1)**2/9
Suppose -6 + 18 = 3*n. Let x(s) = 4*s + 8*s**2 - n*s. Let g(b) = b**2 - b. Let a(c) = 2*g(c) - x(c). Determine k so that a(k) = 0.
-1/3, 0
Let a(i) be the second derivative of 8*i + 2/9*i**4 + 1/9*i**3 - 1/30*i**5 + 0 - 4/3*i**2. Find c such that a(c) = 0.
-1, 1, 4
Let d(b) be the first derivative of -b**4/60 + 3*b - 1. Let r(f) be the first derivative of d(f). Determine n so that r(n) = 0.
0
Let y(c) be the first derivative of -c**3 - 24*c**2 - 45*c + 18. Solve y(l) = 0 for l.
-15, -1
Let x be (1 - 9/(-7)) + 0. Suppose -3*t = -4*c + 6, -4*t = -3*c - 5*t + 11. Factor 2/7*s**c + x + 24/7*s + 12/7*s**2.
2*(s + 2)**3/7
Suppose 2*k + 3*h - 3 = 5*k, 3*k - h + 1 = 0. Suppose -3*r - 3 = k, 0 = 3*a + 5*r - 1 - 0. Suppose 1 - 16*d**2 - 2*d - 3 - 32*d**3 + a = 0. What is d?
-1/4, 0
Let d(s) = 8*s**5 - 5*s**4 - 8*s**3 + 8*s**2 - 3*s. Let v(r) = r**5 - r**3 + r**2 - r. Let g(j) = d(j) - 3*v(j). Suppose g(i) = 0. What is i?
-1, 0, 1
Let c(h) = 2*h - 33. Let k(j) = -3*j + 50. Let x(q) = -8*c(q) - 5*k(q). Let u be x(12). Determine i, given that -7/5*i + 2/5*i**u + 7/5*i**3 - 2/5 = 0.
-1, -2/7, 1
Let c(u) be the first derivative of u**4/42 - 2*u**3/21 + u + 1. Let w(i) be the first derivative of c(i). Factor w(x).
2*x*(x - 2)/7
Let l be ((-8)/3)/((-18)/27). Let r(d) be the first derivative of 2/9*d - 1/3*d**2 - 1/18*d**l + 2/9*d**3 - 3. Find m, given that r(m) = 0.
1
Let a(c) be the third derivative of c**8/560 - c**7/70 + c**6/20 - c**5/10 + c**4/8 - c**3/10 - 9*c**2. What is p in a(p) = 0?
1
Let o(a) = -70*a**4 + 85*a**3 - 20*a**2 - 5*a - 5. Let r(x) = 35*x**4 - 43*x**3 + 10*x**2 + 2*x + 2. Let s(j) = -2*o(j) - 5*r(j). Solve s(z) = 0.
0, 2/7, 1
Let r = 109/6 + -18. Let o(k) be the second derivative of 0*k**2 + 1/3*k**4 + 0 + r*k**3 + k. Suppose o(g) = 0. Calculate g.
-1/4, 0
Let r = -6 - -7. Let b(d) = -4*d. Let m(g) = -g**2 - g + 1. Let q(w) = r*b(w) - 4*m(w). Factor q(h).
4*(h - 1)*(h + 1)
Let b(z) be the second derivative of z**5/22 - z**4/66 + z. Suppose b(d) = 0. Calculate d.
0, 1/5
Factor 52/7*n**2 + 16/7 + 4/7*n**4 + 24/7*n**3 + 48/7*n.
4*(n + 1)**2*(n + 2)**2/7
Let t = -2 - -4. Suppose t*f - 25 = -3*f. Suppose -2 + a**3 + 2 - a**f = 0. Calculate a.
-1, 0, 1
Let y(w) be the third derivative of -w**6/540 - w**5/60 - w**4/18 - w**3/6 - w**2. Let n(v) be the first derivative of y(v). Factor n(q).
-2*(q + 1)*(q + 2)/3
Let u(s) = s + 2. Let p be u(5). Factor -2*t**4 - 2*t**2 + 4*t**3 + p - 7 + 0*t**4.
-2*t**2*(t - 1)**2
Let h(p) be the first derivative of 3*p**5/20 - p**3/2 - 4*p - 1. Let l(j) be the first derivative of h(j). Factor l(n).
3*n*(n - 1)*(n + 1)
Let w(f) be the second derivative of 3*f**5/80 - f**4/4 - f**3/8 + 3*f**2/2 + f. Factor w(x).
3*(x - 4)*(x - 1)*(x + 1)/4
Let 16*w**3 - 162*w**2 + 269*w**2 + 36*w**5 - 96*w**4 - 52*w + 8 - 19*w**2 = 0. Calculate w.
-1, 1/3, 1, 2
Factor 10/3 - 4*m + 2/3*m**2.
2*(m - 5)*(m - 1)/3
Let p(f) be the third derivative of f**10/378000 + f**9/50400 - f**7/3150 + f**5/15 - 4*f**2. Let j(y) be the third derivative of p(y). Factor j(o).
2*o*(o - 1)*(o + 2)**2/5
Let g(s) be the third derivative of -1/180*s**6 + 0*s + 1/36*s**4 - 4*s**2 + 0*s**5 + 0 - 1/18*s**3 + 1/630*s**7. Solve g(n) = 0.
-1, 1
Factor 1/4*y**2 + 1/4 + 1/2*y.
(y + 1)**2/4
Let l(o) be the third derivative of -o**5/20 - o**4/8 + o**3 - 2*o**2. Factor l(q).
-3*(q - 1)*(q + 2)
Factor 0 - 4/3*i - 8/3*i**2 + 0*i**3 + 4/3*i**5 + 8/3*i**4.
4*i*(i - 1)*(i + 1)**3/3
Let b(j) be the first derivative of -13*j**6/63 - 20*j**5/21 - 5*j**4/3 - 80*j**3/63 - 5*j**2/21 + 4*j/21 - 69. Suppose b(q) = 0. What is q?
-1, 2/13
Let a be (-1)/(-1)*(4 + -6 - -5). Factor 1/2 + 1/2*c**4 + 3*c**2 - 2*c**a - 2*c.
(c - 1)**4/2
Let b be ((-24)/(-18))/2 - (2 - 2). Factor 2/3*p + 4/3*p**2 - 2/3*p**4 - 2/3 + b*p**5 - 4/3*p**3.
2*(p - 1)**3*(p + 1)**2/3
Let x = -28/3 - -10. Let b be (9/(-9))/(2/(-8)). Find y, given that 4/3*y**2 - x + 0*y**3 + 0*y - 2/3*y**b = 0.
-1, 1
Suppose -g - g + 24 = 4*o, 5*g - 5*o = -15. Factor -2/5 + 4/5*u - 2/5*u**g.
-2*(u - 1)**2/5
Suppose -5*m + 4 = -6. Let x(t) be the second derivative of 1/9*t**3 + 0 - 1/45*t**6 - 2*t + 0*t**m + 1/18*t**4 - 1/30*t**5. Factor x(f).
-2*f*(f - 1)*(f + 1)**2/3
Let k be (-12)/120 - 94/(-140). Factor -k + 6/7*z**2 + 10/7*z.
2*(z + 2)*(3*z - 1)/7
Suppose 9*i**3 - 127*i + 109*i - 3 - 3*i**3 + 12*i**5 + 27*i**4 - 24*i**2 = 0. Calculate i.
-1, -1/4, 1
Let a(c) = -c**3 + 48*c**2 + 47*c + 98. Let j be a(49). Let 4/9*k**2 + j + 10/9*k**3 + 0*k - 10/9*k**5 - 4/9*k**4 = 0. What is k?
-1, -2/5, 0, 1
Suppose 36*t - 14*t**2 + 22*t**2 - 324 - 9*t**2 = 0. Calculate t.
18
Let s(c) = -5*c**2 + 5*c. Suppose 3*t - 5*l - 10 = 0, 5*t = -3*l - 14 - 26. Let m = t - -2. Let y(q) = -4*q**2 + 4*q. Let d(g) = m*y(g) + 2*s(g). Factor d(k).
2*k*(k - 1)
Factor 3*z**2 + z**4 + 12*z - 7*z - z**3 - 2*z**4 + 0*z**2 + 2.
-(z - 2)*(z + 1)**3
Suppose 1/5*a**5 + 0*a**2 + 2/5*a**3 + 0 - 3/5*a**4 + 0*a = 0. What is a?
0, 1, 2
Suppose 4*g - g = 15. Let h = g - 3. Factor -4*i**h + 5*i**2 - 3*i**3 + 2*i**3 - i**4 + i**5.
i**2*(i - 1)**2*(i + 1)
Let t(l) be the third derivative of -2*l**2 - 1/60*l**5 + 0*l**3 + 1/48*l**4 + 1/240*l**6 + 0 + 0*l. Let t(h) = 0. Calculate h.
0, 1
Let c be (-1)/(6/(-5) + 1). Let p = -25 + 27. Factor m**c - 2*m**3 + 0*m**2 + m**3 + m**p - m**4.
m**2*(m - 1)**2*(m + 1)
Let b be (54/(-30))/((-15)/25). Let q(c) be the second derivative of 0 - 1/10*c**5 - 1/3*c**4 + 0*c**b + 2*c + 0*c**2. Factor q(m).
-2*m**2*(m + 2)
Let d(k) = 3*k**2 + 6*k - 3. Let s be d(-5). Let h be 7/s - 34/(-12). Factor z - 3*z**3 + 4*z + 2*z**h - 4*z.
-z*(z - 1)*(z + 1)
Let x be (-2)/(((-10)/14)/5). Let w be x/3 + (-2)/3. Solve 0*l + 2/3*l**3 - 2/3*l**2 - 2/3*l**5 + 2/3*l**w + 0 = 0 for l.
-1, 0, 1
Suppose 0 = -2*q + 2*a, a + 20 = 3*q + 2*q. Let j be 3/q - 18/(-30). Factor 2/5*l**2 + j*l**4 + 0 + 0*l - 6/5*l**3 - 2/5*l**5.
-2*l**2*(l - 1)**3/5
Let y(t) be the second derivative of -t**4/12 - 4*t**3/3 - 15*t**2/2 + 13*t. Let y(a) = 0. What is a?
-5, -3
Factor 3*q + 3*q**3 + 4*q - 4