ch that c(w) = 0.
-2, 2
Suppose -p + 5*a = -2*p, 0 = -5*p - 2*a. Suppose p = 5*b - 8*b. Factor 3/5*y**2 + 6/5*y + b.
3*y*(y + 2)/5
Let x(d) = -d**3 - d**2 + 7*d - 5. Let b(m) = 4*m**3 + 6*m**2 - 36*m + 26. Suppose 2*w = -2 + 34. Let s(a) = w*x(a) + 3*b(a). Factor s(l).
-2*(l - 1)*(l + 1)*(2*l - 1)
Let y be (-4)/18 - 148/(-180). Let w(v) be the first derivative of 0*v - y*v**5 - 1/2*v**2 - 1/3*v**3 + 1 + 5/4*v**4. Solve w(n) = 0 for n.
-1/3, 0, 1
Let a(g) be the first derivative of -g**6/3 - 2*g**5/5 + 3*g**4/2 + 2*g**3/3 - 2*g**2 - 8. Find k such that a(k) = 0.
-2, -1, 0, 1
Let o be 1/(-2) - 17/(-2). Let h = o - 4. Factor -f**3 - 5*f**h + 3*f**3 - f**4.
-2*f**3*(3*f - 1)
Let j(c) = c**3 - c**2 + 2*c - 2. Let b be j(2). Suppose 0 = -4*y - b + 26. Factor 3 - 2*s**5 + 4*s - s**3 + 5 + 4*s**4 - 10*s**2 - s**y + 2*s**5.
-(s - 2)**3*(s + 1)**2
Suppose -p - 4 = -3. Let g = 3 + p. Factor 0*t - 2*t**g + 0*t.
-2*t**2
Let n(p) be the second derivative of p**9/15120 + p**8/6720 - p**4/12 - 3*p. Let h(w) be the third derivative of n(w). Factor h(t).
t**3*(t + 1)
Let f be (-3)/(-5) + 7/105. Find w such that -f*w**2 + 2/3*w**3 - 2/9*w**4 + 2/9*w + 0 = 0.
0, 1
Let s = -1783 - -19629/11. Suppose -10/11*n**4 - 8/11*n**2 - s*n**3 + 0 - 2/11*n**5 + 0*n = 0. Calculate n.
-2, -1, 0
Let b = 5 + -1. Let a be (-18)/b*3/(-9). What is d in 7/2*d**3 + a*d**2 + 3/4*d**5 - 1/4*d - 1/4 + 11/4*d**4 = 0?
-1, 1/3
Let n(b) be the first derivative of b**6/120 - b**5/60 - b**4/24 + b**3/6 + 3*b**2/2 - 1. Let u(h) be the second derivative of n(h). Let u(z) = 0. Calculate z.
-1, 1
Factor 10*n**3 + 0*n**2 + 4*n**2 - 2*n - 12*n**3.
-2*n*(n - 1)**2
Let u(x) be the third derivative of -5*x**8/336 + x**7/14 - x**6/8 + x**5/12 + 5*x**2 + 2. Let u(h) = 0. Calculate h.
0, 1
Let b be (-1)/(-4) + 659/1524. Let o = -2/127 + b. Factor -4/3 - 2*g - o*g**2.
-2*(g + 1)*(g + 2)/3
Let d(b) be the third derivative of -b**9/60480 + b**7/5040 - b**5/60 + b**2. Let j(q) be the third derivative of d(q). Let j(u) = 0. What is u?
-1, 0, 1
Let k(m) be the third derivative of m**9/75600 - m**8/6300 + m**7/2100 + m**5/12 - 9*m**2. Let c(f) be the third derivative of k(f). Factor c(h).
4*h*(h - 3)*(h - 1)/5
Let k(u) be the first derivative of -8/9*u**3 - u**4 + 4/15*u**5 + 4 + 1/3*u**6 + 4/3*u + u**2. Find l, given that k(l) = 0.
-1, -2/3, 1
Let c(w) = -3*w - 1. Let l be c(-1). Factor -l*i**4 - 3*i + 5*i**3 - 2*i**2 - 2*i - 1 + 6*i**4 - i**2.
(i - 1)*(i + 1)**2*(4*i + 1)
Suppose 0 + 16/3*z**3 + 2/3*z**4 + 12*z + 14*z**2 = 0. What is z?
-3, -2, 0
Let j be (-1 + 1)/(2 - 3). Find b such that 3 - 8*b**2 + 0 + j + 4*b**4 + 1 = 0.
-1, 1
Let m(g) be the first derivative of 27*g**4/10 + 32*g**3/5 + 3*g**2 - 12*g/5 - 16. Factor m(a).
6*(a + 1)**2*(9*a - 2)/5
Let c be 7 - 7 - (1 + -4). Factor 13/3*i**2 - 4/3*i**c + 2/3 - 11/3*i.
-(i - 2)*(i - 1)*(4*i - 1)/3
Let f(q) be the third derivative of -q**5/180 + q**4/9 - 8*q**3/9 - 3*q**2. What is h in f(h) = 0?
4
Let g(y) be the first derivative of y**6/12 + y**5/30 + 3. Find s such that g(s) = 0.
-1/3, 0
Suppose -2/7*v**2 + 0 - 2/7*v + 2/7*v**3 + 2/7*v**4 = 0. Calculate v.
-1, 0, 1
Let 1/4*v**2 - 1/4*v**3 + 0 - 1/4*v**4 + 0*v + 1/4*v**5 = 0. What is v?
-1, 0, 1
Let w = 29 + -25. Let a be (7/2 - 3) + w. Let 6*k**3 - 3*k + 3/2*k**2 - a*k**4 + 0 = 0. Calculate k.
-2/3, 0, 1
Let r(i) be the first derivative of i**5/150 - i**4/30 - i**2 + 4. Let t(v) be the second derivative of r(v). Factor t(h).
2*h*(h - 2)/5
Let x = 10 - 10. Factor x*v**3 - 2/7*v**4 + 0 + 2/7*v**2 + 0*v.
-2*v**2*(v - 1)*(v + 1)/7
Let y be (4*4/(-14))/(60/(-42)). Factor 2/5 - b + y*b**2 - 1/5*b**3.
-(b - 2)*(b - 1)**2/5
Let v(b) be the first derivative of -1 + 4/21*b**3 + 0*b**2 + 0*b + 1/14*b**4. Factor v(l).
2*l**2*(l + 2)/7
Factor -2/7*i**2 - 2/7*i**3 + 2/7*i**4 + 2/7*i + 0.
2*i*(i - 1)**2*(i + 1)/7
Let y(w) be the first derivative of -w**2/2 + w + 4. Let j be y(1). What is s in 2/5*s**2 + 1/5*s**3 + j + 0*s = 0?
-2, 0
Let m(g) = g**2 + 3*g - 10. Let h(d) = d**2 + 2*d - 9. Let s(a) = -6*h(a) + 5*m(a). Let t(y) = 2*y**2 - 2*y - 4. Let r(k) = 4*s(k) + 3*t(k). Factor r(x).
2*(x + 1)*(x + 2)
Let 0 + 4/7*z + 2/7*z**3 - 6/7*z**2 = 0. Calculate z.
0, 1, 2
Let c(h) = h + 14. Let m be c(-12). Suppose -j - j = 2*q - 8, m*j - 4 = -q. Suppose j + 1/3*u**2 + 1/3*u = 0. What is u?
-1, 0
Let x(i) = -i**2 + 12*i + 31. Suppose 0 = -3*y + 42. Let n be x(y). What is m in -2/5*m**n + 0 - 4/5*m**2 - 2/5*m = 0?
-1, 0
Factor 4*g**4 + 3*g - g - 2*g**5 + 0*g - 4*g**2 + 0*g**5.
-2*g*(g - 1)**3*(g + 1)
Let h(z) be the second derivative of z**5/4 + 5*z**4/12 - 5*z**3/6 - 5*z**2/2 + 9*z. Factor h(b).
5*(b - 1)*(b + 1)**2
Let f(s) be the third derivative of s**10/264600 - s**9/105840 - s**8/17640 - 3*s**5/20 + 7*s**2. Let j(z) be the third derivative of f(z). Factor j(w).
4*w**2*(w - 2)*(w + 1)/7
Let x(h) be the first derivative of -h**6/21 - 8. Factor x(r).
-2*r**5/7
Let t(k) be the third derivative of k**8/112 - k**6/40 + 5*k**2. Let t(m) = 0. What is m?
-1, 0, 1
Let a(l) be the first derivative of -2*l**3/21 - 2*l**2/7 + 6*l/7 - 9. Factor a(x).
-2*(x - 1)*(x + 3)/7
Find y, given that -1/10*y**4 + 0 + 0*y**3 + 3/10*y**2 - 1/5*y = 0.
-2, 0, 1
Let c(i) = -14*i**2 + 17*i + 14. Let a(o) = 5*o**2 - 6*o - 5. Let u(h) = 17*a(h) + 6*c(h). Let u(x) = 0. Calculate x.
-1, 1
Determine t so that 0 + 5/3*t**2 + 1/3*t**5 - 1/3*t**4 - t**3 - 2/3*t = 0.
-2, 0, 1
Suppose -4*v + 36 = 96. Let h be (12/v - -1)*4. Factor 2/5*l - 2/5*l**2 + h.
-2*(l - 2)*(l + 1)/5
Suppose 3*n + 22 = -20. Let r be (-4)/n + 2 + -2. Find q, given that 0 - 4/7*q + r*q**2 = 0.
0, 2
Let g(y) be the third derivative of -y**7/840 - y**6/240 - y**4/12 + 4*y**2. Let s(t) be the second derivative of g(t). Factor s(h).
-3*h*(h + 1)
Suppose 66*w**2 - 140*w**2 + 71*w**2 - w**3 - 2*w = 0. What is w?
-2, -1, 0
Factor 36/7*s - 24/7 + 3/7*s**3 - 18/7*s**2.
3*(s - 2)**3/7
Let q(f) = 10*f**4 - 28*f**3 + 24*f**2 + 14*f + 16. Let t(p) = -p - 1. Let j(r) = 2*q(r) + 36*t(r). Factor j(s).
4*(s - 1)**3*(5*s + 1)
Let p(m) = 8*m + 12. Let y(v) = -v - 1. Let w(k) = -2*p(k) - 18*y(k). Let i be w(4). Suppose 2*c**3 - 3*c**2 + 2*c**i + 0*c**3 - c = 0. Calculate c.
-1/2, 0, 1
Let q(i) be the second derivative of -1/27*i**3 - 1/54*i**4 + 0*i**2 - 4*i + 0. Solve q(z) = 0 for z.
-1, 0
Suppose 10 = 3*n - 2. Suppose -8 = -3*i + n. Find v, given that -4*v + v**2 + 2*v**2 + i - 2*v**2 = 0.
2
Suppose -2*t + 4 = -0. Let p(z) be the first derivative of 1/4*z - 1/4*z**4 + 1/2*z**t - 2 - 1/12*z**3. Find s, given that p(s) = 0.
-1, -1/4, 1
Let r(f) be the first derivative of 3/2*f**2 + 1/30*f**5 + 0*f**3 + 0*f - 1/24*f**4 - 1/120*f**6 - 4. Let v(o) be the second derivative of r(o). Factor v(y).
-y*(y - 1)**2
Let n(z) be the second derivative of z**7/126 - z**6/45 + z**4/18 - z**3/18 - 9*z. Suppose n(v) = 0. What is v?
-1, 0, 1
Factor 3/2*d - 1/2*d**2 + 0.
-d*(d - 3)/2
Let r(p) be the second derivative of -p**7/35 - 7*p**6/50 - 27*p**5/100 - p**4/4 - p**3/10 - 4*p. Suppose r(z) = 0. Calculate z.
-1, -1/2, 0
Let o(i) be the third derivative of -1/150*i**5 + 1/300*i**6 - 1/30*i**4 + 0*i + 7*i**2 + 0 + 0*i**3. Factor o(k).
2*k*(k - 2)*(k + 1)/5
Let x(o) be the second derivative of 1/18*o**3 + 1/18*o**4 - 1/3*o**2 - 2*o - 1/60*o**5 + 0. Factor x(u).
-(u - 2)*(u - 1)*(u + 1)/3
Let f(j) = 6*j**2 + 30*j + 21. Let b(x) = -11*x**2 - 59*x - 43. Let y(t) = 3*b(t) + 7*f(t). Factor y(p).
3*(p + 3)*(3*p + 2)
Let v(p) be the second derivative of p**7/14 - 3*p**5/10 + p**3/2 + 10*p. Determine x, given that v(x) = 0.
-1, 0, 1
Let q(t) be the second derivative of -t**7/42 + t**6/30 + 3*t**5/20 - t**4/12 - t**3/3 - 25*t. Determine o, given that q(o) = 0.
-1, 0, 1, 2
Suppose -3*b = -22 + 22. Let r(k) be the first derivative of b*k**2 + 0*k - 1/6*k**3 - 2. Let r(l) = 0. What is l?
0
Let c(a) be the third derivative of a**9/90720 + a**8/30240 - a**7/7560 - a**6/1080 + a**5/15 + 5*a**2. Let x(n) be the third derivative of c(n). Factor x(p).
2*(p - 1)*(p + 1)**2/3
Let x be ((-15)/5)/(-3) + -1. Let o(q) be the second derivative of x*q**2 + 0*q**3 + 1/20*q**6 + 0 - 3*q - 1/40*q**5 - 1/12*q**4. Factor o(l).
l**2*(l - 1)*(3*l + 2)/2
Let g = -8 + 14. Factor g*a**3 - 5*a**5 - 6*a + 2*a**5 + 3*a.
-3*a*(a - 1)**2*(a + 1)**2
Suppose f - 6 = -2*f. Le