 t be 8/(-30)*(-87)/116. Let p(f) be the first derivative of 0*f**4 - 1/3*f**3 + 0*f + t*f**5 - 3 + 0*f**2. Factor p(y).
y**2*(y - 1)*(y + 1)
Let c(r) be the first derivative of -r**4/10 + 2*r**3/15 + 15. Factor c(p).
-2*p**2*(p - 1)/5
Let u(l) = l**3 + 7*l**2 + l + 3. Let v(p) = 6*p**2 + 2. Let b(g) = 4*u(g) - 6*v(g). Factor b(s).
4*s*(s - 1)**2
Let u(x) be the first derivative of -11/12*x**4 - 2*x + 9/20*x**5 + 1/3*x**3 + 2 + 0*x**2. Let g(d) be the first derivative of u(d). Factor g(j).
j*(j - 1)*(9*j - 2)
Suppose -48 = -9*x + x. Suppose x*y = y. Factor y + 1/2*t**2 - 1/2*t**3 - 1/2*t**4 + 1/2*t.
-t*(t - 1)*(t + 1)**2/2
Let r be -2 + -1 - (-10)/3. Let a(g) be the first derivative of r*g**3 - 2 + 1/8*g**4 + 1/4*g**2 + 0*g. Determine c, given that a(c) = 0.
-1, 0
Factor -2/13*c**3 + 0 + 2/13*c + 0*c**2.
-2*c*(c - 1)*(c + 1)/13
Let f(r) be the third derivative of r**7/1260 - r**6/1080 - r**5/360 - r**3/6 - 2*r**2. Let m(u) be the first derivative of f(u). Suppose m(h) = 0. Calculate h.
-1/2, 0, 1
Let d(y) be the second derivative of y**4/42 - y**3/7 + 2*y**2/7 + 9*y - 1. Suppose d(v) = 0. What is v?
1, 2
Let 0*u + 5*u + u - u - 6*u**2 = 0. Calculate u.
0, 5/6
Let r(a) = -a**3 + 4*a**2 - 3*a. Let g be r(2). Let 0*y - 5*y**2 + 4*y**2 - g - 4*y - y**2 = 0. What is y?
-1
Let b(l) = -8*l**4 + 21*l**3 - 12*l**2 + 5*l - 3. Let f(p) = 9*p**4 - 22*p**3 + 13*p**2 - 4*p + 2. Let x(r) = -4*b(r) - 6*f(r). Factor x(w).
-2*w*(w - 1)**2*(11*w - 2)
Suppose 17 = 3*j - w, 9*j - 4*j = -3*w + 5. Determine u, given that 2*u**3 + 9 - 9 - j*u**2 = 0.
0, 2
Let -272 - 5*n**2 + 272 = 0. Calculate n.
0
Let -1/6*i**2 - 1/3*i - 1/6 = 0. Calculate i.
-1
Let a = -3 - -5. Let p = 5 - a. Factor -4*t + 2*t**4 - 3*t**2 + t**2 + 2*t**p + 2*t.
2*t*(t - 1)*(t + 1)**2
Factor 0 - 2/3*r**3 + 1/3*r**2 - 1/3*r**4 + 2/3*r.
-r*(r - 1)*(r + 1)*(r + 2)/3
Let k be 3*-5*(-4)/30. Let h(b) be the third derivative of 0 + 1/21*b**3 + k*b**2 + 1/84*b**4 + 0*b - 1/210*b**5 - 1/420*b**6. Solve h(i) = 0.
-1, 1
Let h(k) be the second derivative of k**4/42 - k**3/7 + 2*k**2/7 + k. Find s, given that h(s) = 0.
1, 2
Let b be ((-5)/50)/(-1)*16. Factor -24/5*h**2 + 0 + 12*h**4 + 22/5*h**3 - b*h - 10*h**5.
-2*h*(h - 1)**2*(5*h + 2)**2/5
Let c be 12/18 - 4/(-3). Let j(u) be the second derivative of -1/54*u**4 - 2*u - 1/27*u**3 + 0 + 0*u**c. Determine h, given that j(h) = 0.
-1, 0
Determine o, given that 14/13*o**4 + 86/13*o**2 + 8/13 + 60/13*o**3 + 48/13*o = 0.
-2, -1, -2/7
Find x such that -6*x + 9*x**2 + 0*x**3 - 12*x**3 - 2*x**2 + 8*x**2 + 3*x**4 = 0.
0, 1, 2
Let 0 + 20/3*y**4 + 35/3*y**3 + 10/3*y**2 - 5/3*y = 0. Calculate y.
-1, 0, 1/4
Let c(t) be the third derivative of t**6/120 - t**4/24 + 5*t**2. Suppose c(x) = 0. What is x?
-1, 0, 1
Suppose 25 = 5*j - 0. Suppose -j*n + 3 = -12. Factor 1/3 + b**2 - n*b**3 + 5/3*b.
-(b - 1)*(3*b + 1)**2/3
Let k(t) be the second derivative of -8*t**2 + 2/15*t**6 + 2/5*t**5 - t**4 - 16/3*t**3 - 3*t + 0. Factor k(j).
4*(j - 2)*(j + 1)**2*(j + 2)
Let t(a) = -a**3 + a**2 - a + 23. Let u be t(0). Let m = 70/3 - u. Factor f + f**2 + 1/3*f**3 + m.
(f + 1)**3/3
Let m = 109 - 107. Factor -1/2*c**m + 0 + c**5 - 5/2*c**4 + 0*c + 2*c**3.
c**2*(c - 1)**2*(2*c - 1)/2
Find j such that 24/11*j**2 - 12/11*j**3 + 6/11 + 2/11*j**4 - 20/11*j = 0.
1, 3
Let y(m) be the first derivative of -m**7/2520 - m**6/1080 + m**5/180 - 2*m**3/3 - 5. Let u(s) be the third derivative of y(s). Suppose u(x) = 0. What is x?
-2, 0, 1
Let p(f) be the first derivative of -f**5/5 + 5*f**4/12 - f**3/9 - f**2/6 + 11. Factor p(d).
-d*(d - 1)**2*(3*d + 1)/3
Let s(j) be the first derivative of 0*j**4 + 0*j**2 + 0*j**3 - 6 + 0*j - 1/5*j**5 + 1/6*j**6. Factor s(y).
y**4*(y - 1)
Determine f, given that -35*f + 13 - 10*f**2 - 1 - 27 = 0.
-3, -1/2
Let q = 32/9 - -467/18. Let u = q + -29. Determine o, given that -3/2*o**2 + 1 - u*o = 0.
-1, 2/3
Determine b, given that -3/4 + 15/8*b + 3/2*b**2 - 15/4*b**3 - 3/4*b**4 + 15/8*b**5 = 0.
-1, 2/5, 1
Let w be ((-1)/2)/(6/24). Let u be (-3)/(9/(-10)) + w. Solve -2*q**3 - 1/3*q**5 - 1/3*q + u*q**4 + 0 + 4/3*q**2 = 0.
0, 1
Factor -t + 6*t**2 - t**3 - 3*t**2 - t**2.
-t*(t - 1)**2
Let q be 3*(-5)/130*4. Let f = 34/39 - q. What is p in 1/3*p**2 + f*p + 4/3 = 0?
-2
Let c be (((-432)/(-40))/9)/(21/40). Solve 0 - 48/7*h**5 + 48/7*h**2 - 68/7*h**4 + 12*h**3 - c*h = 0 for h.
-2, -2/3, 0, 1/4, 1
Let c(x) = -8*x + 35. Let g be c(4). Factor -1/4*f**g + 0*f + 1/4*f**4 + 0 + 0*f**2.
f**3*(f - 1)/4
Let f(r) be the third derivative of r**8/10080 - r**7/945 + r**6/216 - r**5/90 - 5*r**4/12 + 5*r**2. Let n(l) be the second derivative of f(l). Factor n(m).
2*(m - 2)*(m - 1)**2/3
Suppose -2*c = 4*a + 4, -2*a = 3*c - 0*a - 6. Let h(j) = -2*j - 8. Let b be h(-6). Find z, given that -z**c + 3*z**2 - 4*z**3 + 3*z**b - z**2 = 0.
0, 1
Let p(b) = 2*b**2 - 2*b. Let y(h) be the third derivative of h**5/60 - h**4/24 - 2*h**2. Let a(i) = -3*p(i) + 5*y(i). What is j in a(j) = 0?
0, 1
Let i(z) be the third derivative of -z**2 - 1/96*z**4 + 0*z**6 + 1/1344*z**8 + 0 + 0*z**3 + 1/120*z**5 - 1/420*z**7 + 0*z. Factor i(q).
q*(q - 1)**3*(q + 1)/4
Let o be 2 + 4 + -2 + 0. Determine f, given that -4/7*f**3 + 4/7*f**2 - 6/7*f**o + 2/7 - 2/7*f**5 + 6/7*f = 0.
-1, 1
Let t(h) be the second derivative of -h + 1/6*h**2 + 1/90*h**6 + 0*h**5 + 0*h**3 + 0 - 1/18*h**4. Factor t(p).
(p - 1)**2*(p + 1)**2/3
Let o = -100 + 100. Factor 0 + o*l + 7/3*l**4 + 2/3*l**3 + 0*l**2.
l**3*(7*l + 2)/3
Suppose -3*s + 95 = 2*s. Let t = -30 + s. Let i(w) = -6*w**3 - 4*w**2 + 10*w. Let l(x) = x**3 + x**2 - 2*x. Let a(q) = t*l(q) - 2*i(q). Factor a(u).
u*(u - 2)*(u - 1)
Let o(i) = i - 4. Let r be o(8). Suppose -r*v = -5*k - 13, 3 = -k + 2. Factor -4*m**3 + 2*m**3 - 4*m**4 - 5*m**3 + 2*m + 5*m**3 + 4*m**v.
-2*m*(m - 1)*(m + 1)*(2*m + 1)
Suppose 1 + 6*c**2 - c**3 + c + 0 - 3 - 4*c**2 = 0. Calculate c.
-1, 1, 2
Let v(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 4*n**2 + 1/20*n**5 + 0*n**6 - 1/70*n**7. Determine y, given that v(y) = 0.
-1, 0, 1
Let v(k) be the third derivative of k**5/20 + 5*k**4/8 - 37*k**2 + 1. Let v(b) = 0. What is b?
-5, 0
Let k be (23 - 24)/((-9)/6). Suppose 0*n - k*n**2 + 2/3 = 0. Calculate n.
-1, 1
Suppose 0 = -5*z + 7*z. Suppose z = -5*m - 20 + 30. Find n, given that 0 - 1/3*n + 1/3*n**m = 0.
0, 1
Suppose 0 + 3/5*y**3 + 6/5*y**2 + 0*y = 0. What is y?
-2, 0
Let k(v) = -2*v**2. Let s(x) = x**3 - 4*x**2 - 7*x - 1. Let z be s(5). Let g(a) = a**2. Let y(p) = z*g(p) - 4*k(p). Solve y(w) = 0 for w.
0
Let j be -3*-1*(-3)/(-3). Suppose -j*g = -0*g - 6. Suppose -4/7*q**g + 2/7*q + 2/7 = 0. Calculate q.
-1/2, 1
Let h(l) be the first derivative of -4*l**7/21 - l**6/5 + l**5/10 - 2*l - 2. Let o(t) be the first derivative of h(t). Let o(d) = 0. What is d?
-1, 0, 1/4
Let k = 12 - 9. Let i(c) be the first derivative of 1/4*c**4 + k + c**2 + 0*c - c**3. Suppose i(y) = 0. Calculate y.
0, 1, 2
Factor 8/19 - 2/19*c**2 + 0*c.
-2*(c - 2)*(c + 2)/19
Let s(u) be the second derivative of -u**5/4 + 5*u**4/6 + 4*u. Factor s(y).
-5*y**2*(y - 2)
Let u = -20 - -68/3. Let y = u + -2. Let 0 - 4/3*g**3 - 2/3*g**4 + 0*g - y*g**2 = 0. What is g?
-1, 0
Let y(p) be the third derivative of p**7/630 - p**6/180 - p**5/60 + 2*p**2 + p. Solve y(t) = 0.
-1, 0, 3
Let r be ((-1)/(-4))/((-1)/(-6)). Let c = 18/65 + 1683/260. Factor -r - c*s - 21/4*s**2.
-3*(s + 1)*(7*s + 2)/4
Find a such that -6/7*a**2 + 2/7*a**4 + 4/7 + 2/7*a - 2/7*a**3 = 0.
-1, 1, 2
Let u(f) be the second derivative of -f**7/2520 - f**6/360 - f**4/3 - 3*f. Let y(t) be the third derivative of u(t). Suppose y(c) = 0. What is c?
-2, 0
Let g(j) be the third derivative of -j**7/2520 + j**4/24 - 4*j**2. Let v(a) be the second derivative of g(a). Determine n so that v(n) = 0.
0
Let m(a) be the first derivative of -1 + 3/8*a**2 + 1/2*a**3 + 3/16*a**4 + 0*a. Find u, given that m(u) = 0.
-1, 0
Let o(s) be the third derivative of -s**8/504 + s**7/105 - s**6/60 + s**5/90 + 7*s**2. Factor o(k).
-2*k**2*(k - 1)**3/3
Suppose a = -4*o + 8, -2*o + 2*a = -15 + 1. Factor 5*n + 2 - 11*n - 6 + 2*n**o.
2*(n - 2)*(n + 1)**2
Let g(x) be the third derivative of x**6/2160 + x**5/360 - x**3 + 4*x**2. Let u(p) be the first derivative of g(p). Solve u(w) = 0.
-2, 0
Let l = 10 - -2. Factor 10*b**3 - 8*b + 16 - b - l*b**