Factor y(w).
-3*w**2*(w + 1)**2/5
Let s = -1197/2 + 601. Suppose -z - 6*z**3 - 9/2*z**2 - s*z**4 + 0 = 0. What is z?
-1, -2/5, 0
Let s(h) be the second derivative of h**3 + 6*h - 1/4*h**4 + 0 + 0*h**2. Factor s(p).
-3*p*(p - 2)
Let d(y) be the first derivative of 2/5*y**5 + 1 + 0*y**2 + 1/2*y**4 + 0*y**3 + 0*y. What is t in d(t) = 0?
-1, 0
Let l be 7 - 1 - (0 + 2). What is y in -2*y**5 + 4*y**4 - y**2 + 2*y**3 + 2*y**4 - 7*y**4 + 2*y**l = 0?
-1, 0, 1/2, 1
Let c(b) be the third derivative of b**5/15 - 2*b**4/3 + 2*b**3 - 12*b**2. Factor c(w).
4*(w - 3)*(w - 1)
Let l be 0 + (1 - -1) + 1. Let h be (-36)/(-14) - l - -1. Solve 2/7*w + h*w**2 + 0 + 2/7*w**3 = 0 for w.
-1, 0
Let l be (-3)/12 + (-2)/(-8). Suppose 112*k + 240*k**2 + 164*k + 120*k**3 + 30*k**4 - 36*k + 96 + l*k**5 + 3*k**5 = 0. What is k?
-2
Let y(k) = k**4 + k**3 - 3*k**2 - k + 2. Let l(h) = 4*h**4 + 2*h**3 - 10*h**2 - 2*h + 6. Let i(s) = -6*l(s) + 17*y(s). Let i(f) = 0. What is f?
-1, -2/7, 1
Let d(w) be the first derivative of w**6/1800 + w**5/600 + 4*w**3/3 - 6. Let p(z) be the third derivative of d(z). Factor p(a).
a*(a + 1)/5
Let g(i) be the second derivative of i**5/110 + i**4/66 - 2*i**3/33 - 12*i. Factor g(f).
2*f*(f - 1)*(f + 2)/11
Let o(x) = -x**2 - 10*x + 5. Let c be o(-10). Let s(t) be the third derivative of 1/60*t**c + 0*t + t**2 - 7/48*t**4 + 7/240*t**6 - 1/6*t**3 + 0. Factor s(d).
(d - 1)*(d + 1)*(7*d + 2)/2
Let z(w) = -w - 2. Let f be z(-4). Let q be 9/(-20)*568/(-213). Find b, given that q*b**2 + 4/5 - f*b = 0.
2/3, 1
Let x(g) be the second derivative of g**7/378 - g**6/270 - 13*g. Determine y, given that x(y) = 0.
0, 1
Let j(q) be the second derivative of 1/70*q**6 + 2*q - 3/70*q**5 + 0*q**4 - 3/14*q**2 + 1/7*q**3 + 0. Determine i so that j(i) = 0.
-1, 1
Let s(z) be the first derivative of 2*z**5/15 - 2*z**4/3 + 4*z**3/3 - 4*z**2/3 + 2*z/3 - 5. Determine y, given that s(y) = 0.
1
Let w be (-148)/144*-3 + -3. Let m(o) be the first derivative of -1/8*o**2 + 2 + w*o**3 + 0*o. Let m(t) = 0. What is t?
0, 1
Let z(l) be the first derivative of 2*l**3/21 - 2*l/7 + 3. Determine x, given that z(x) = 0.
-1, 1
Let v = 657/5 - 131. Factor v*d**3 + 2/5*d**2 + 0 + 0*d.
2*d**2*(d + 1)/5
Suppose 2*n = -0*n - 4. Let p(z) = z**2 + z + 1. Let q be p(n). Factor -4*i + 2*i + 2*i**q + 2*i**4 + 2*i.
2*i**3*(i + 1)
Let u(h) be the second derivative of -h**7/2520 + h**5/120 + h**4/36 + h**3/6 + 2*h. Let b(i) be the second derivative of u(i). Factor b(n).
-(n - 2)*(n + 1)**2/3
Let y(q) be the second derivative of 1/9*q**2 + 1/54*q**4 + 4*q + 0 - 2/27*q**3. Suppose y(b) = 0. What is b?
1
Let b(o) = -2*o**3 - 12*o**2 - 30*o - 16. Let n(r) = 2*r**3 + 11*r**2 + 30*r + 15. Let l(s) = 3*b(s) + 2*n(s). Find d, given that l(d) = 0.
-3, -1
Let b(u) be the first derivative of -u**5/5 - 3*u**4/4 + 4*u**3/3 + 2. Factor b(m).
-m**2*(m - 1)*(m + 4)
Let s be (-29)/(-9) - (-4)/(-18). Let l = -5 - -7. Suppose -g**3 + 3*g**s - 3*g**3 - g**l = 0. What is g?
-1, 0
Let a = 5/28 + 3/140. Suppose 0*y - a*y**2 + 0 = 0. Calculate y.
0
Factor 4/9 + 1/9*n**2 + 5/9*n.
(n + 1)*(n + 4)/9
Suppose 0 = 4*w - 58 - 230. Let q be (-6)/4*w/(-27). Factor -3*i - 5/3*i**3 - 2/3 - q*i**2.
-(i + 1)**2*(5*i + 2)/3
Factor 0*a**2 + 5 + 15/2*a - 5/2*a**3.
-5*(a - 2)*(a + 1)**2/2
Let o be ((-1)/(-4))/((-27)/(-72)). Factor 2/3*y**3 - 2/3*y - o + 2/3*y**2.
2*(y - 1)*(y + 1)**2/3
Suppose -2 = 3*b + 5*x - 14, 0 = 4*b - 5*x - 16. Suppose 0*h**2 - h**3 + 1/2*h**b - 1/2 + h = 0. Calculate h.
-1, 1
Let i(u) be the first derivative of -u**4/16 + u**3/4 - 3*u**2/8 + u/4 - 6. Factor i(s).
-(s - 1)**3/4
Let g(u) be the first derivative of -u**6/15 + 14*u**5/25 - 11*u**4/10 + 2*u**3/3 - 66. Factor g(q).
-2*q**2*(q - 5)*(q - 1)**2/5
Let y = -20 - -22. Suppose -y*r = -4*r. Suppose 1/4*x + r*x**2 - 1/4*x**3 + 0 = 0. Calculate x.
-1, 0, 1
Suppose -2 + 0*w - 3*w - 2 + 11*w - 3*w**2 = 0. Calculate w.
2/3, 2
Let m be 14/8 - ((-95)/(-20) + -5). Let q = 0 + 0. Factor q + 2/5*o**m + 4/5*o.
2*o*(o + 2)/5
Let s be 7/(63/(-12)) - 2 - -4. Let -s*n**2 + 0 - 2/3*n = 0. Calculate n.
-1, 0
Let t(y) = -y**3 + 4*y**2 - 4*y + 2. Let w be t(2). Let p(d) be the first derivative of 4 - 2*d**2 + 2/3*d**3 + w*d. Find h such that p(h) = 0.
1
Let o(k) = -4*k**3 + 24*k**2 + 4*k - 24. Let g(y) = -y**3 + 5*y**2 + y - 5. Let w(q) = -28*g(q) + 6*o(q). Factor w(m).
4*(m - 1)*(m + 1)**2
Let a(c) be the first derivative of c**6/120 - c**5/12 + c**4/8 + 3*c**3/2 - 3*c**2 - 8. Let r(q) be the second derivative of a(q). Factor r(l).
(l - 3)**2*(l + 1)
Determine u so that -3*u**3 + 19*u**5 - 11*u**4 + 9*u**2 + 2*u**4 - 16*u**5 = 0.
-1, 0, 1, 3
Let p = 25 + -31. Let h be -6 + 6 + (-2)/p. Factor 0*s**2 + 0 + h*s - 1/3*s**3.
-s*(s - 1)*(s + 1)/3
Let t(w) be the first derivative of w**6/360 - w**5/90 + w**2/2 - 1. Let n(k) be the second derivative of t(k). Determine x, given that n(x) = 0.
0, 2
Let n(u) be the second derivative of 0 - 1/12*u**4 - 1/90*u**6 - 1/20*u**5 + 0*u**2 + u - 1/18*u**3. Solve n(q) = 0.
-1, 0
Let i(t) be the first derivative of t**4/8 + t**3/2 + 3*t**2/4 + t/2 - 22. Let i(s) = 0. Calculate s.
-1
Determine f, given that 0 + 0*f - 2/11*f**2 = 0.
0
Let x = -8/15 + 6/5. Factor 2/9 + x*s + 2/9*s**3 + 2/3*s**2.
2*(s + 1)**3/9
Let 20*n**3 + 7*n**2 - 32*n**2 - 24*n**4 + 10*n + 19*n**4 = 0. Calculate n.
0, 1, 2
Suppose -12 - 3 = -3*w. Let n = 167/380 - 3/76. Suppose -2/5*m**2 - 6/5*m**4 - 6/5*m**3 - n*m**w + 0 + 0*m = 0. Calculate m.
-1, 0
Find h such that -1/3*h**3 + 0 + 1/3*h + 1/3*h**2 - 1/3*h**4 = 0.
-1, 0, 1
Let y(l) be the second derivative of 5*l**7/42 + l**6/3 - 5*l**4/6 - 5*l**3/6 - 7*l. Factor y(s).
5*s*(s - 1)*(s + 1)**3
Let x(g) be the first derivative of 11*g**3 - 3*g**2 + 8. Factor x(q).
3*q*(11*q - 2)
Let u(y) = 3*y - 5. Let p be u(3). Let h(z) be the second derivative of -1/9*z**2 - 1/54*z**p + z - 2/27*z**3 + 0. Suppose h(g) = 0. Calculate g.
-1
Let r(x) be the third derivative of -1/240*x**6 + 0*x**3 + 0 - 3*x**2 + 0*x - 1/120*x**5 + 0*x**4. Suppose r(m) = 0. What is m?
-1, 0
Factor 2/3*y - 2/3*y**4 - 2/3*y**3 + 0 + 2/3*y**2.
-2*y*(y - 1)*(y + 1)**2/3
Let w be (-6)/(-4)*(-8)/(-3). Solve -2*m**4 - 21*m + w*m**4 - 4*m**4 - 3*m - 26*m**2 - 12*m**3 - 8 = 0 for m.
-2, -1
Let r(n) be the third derivative of -1/25*n**7 - 8*n**2 + 0*n + 1/300*n**6 + 0*n**3 + 0 + 1/75*n**5 + 0*n**4. Factor r(h).
-2*h**2*(3*h - 1)*(7*h + 2)/5
Let v(g) be the first derivative of -g**5 + 7*g**4/4 + 8*g**3/3 - 2*g**2 + 18. Suppose v(f) = 0. What is f?
-1, 0, 2/5, 2
Let k(w) be the second derivative of -w**4/24 - 3*w. Suppose k(g) = 0. Calculate g.
0
Let k = 12 - 7. Determine g, given that -g**2 - g**3 - 4*g**k + 0*g**2 + 5*g**5 + g**4 = 0.
-1, 0, 1
Let l(y) be the first derivative of -2/15*y**4 - 2/5*y**2 + y - 1/50*y**5 + 2 - 1/3*y**3. Let r(d) be the first derivative of l(d). Let r(a) = 0. What is a?
-2, -1
Let w(v) be the third derivative of 0*v + 0*v**3 - 4*v**2 + 0 + 1/600*v**6 - 1/120*v**4 + 0*v**5. Factor w(k).
k*(k - 1)*(k + 1)/5
Let v(n) be the second derivative of -n**7/1890 + n**6/240 - n**5/180 + 5*n**4/12 - 3*n. Let p(q) be the third derivative of v(q). Factor p(b).
-(b - 2)*(4*b - 1)/3
Let m(g) be the second derivative of 0 + 1/15*g**5 + 0*g**6 + 0*g**4 - 4*g - 1/9*g**3 - 1/63*g**7 + 0*g**2. Solve m(t) = 0.
-1, 0, 1
Let f(i) = 12*i**2 + i - 1. Let h be f(1). Let p = h + -9. Factor v**p - 3*v + 4*v - 2*v**3.
-v*(v - 1)*(v + 1)
Let b(v) = v + 16. Let w be b(-16). Let y(o) be the first derivative of w*o**2 + 2/5*o**5 + 0*o**3 + 0*o - 3 + 0*o**4. Factor y(j).
2*j**4
Let i(s) be the first derivative of s**4/6 - 4*s**3/9 - s**2/3 + 4*s/3 - 2. Determine p, given that i(p) = 0.
-1, 1, 2
Let x(f) be the second derivative of -f**7/840 - f**6/80 - f**5/20 + f**4/3 - 4*f. Let q(r) be the third derivative of x(r). Suppose q(m) = 0. What is m?
-2, -1
Solve 8 + 4*k**2 - 8 + 4*k = 0.
-1, 0
Let n = -13 + 17. Let t be 330/77 + n/(-14). Factor 0*c + 2/3*c**t - 2/3*c**2 + 2/3*c**3 + 0 - 2/3*c**5.
-2*c**2*(c - 1)**2*(c + 1)/3
Suppose 5 = 2*o + 1. Factor 0 - 1/5*g**3 - 1/5*g**o + 0*g.
-g**2*(g + 1)/5
Let o(f) be the first derivative of -f + 1 + 1 - 1 - f**3 + 2*f**2 + 2. Factor o(w).
-(w - 1)*(3*w - 1)
Suppose 4*b - 3*b - 2 = 0. Let y(h) be the second derivative of -1/4*h**3 - 2*h - 1/8*h**4 - 1