e of -m**5/100 - m**4/30 + m**3/30 + m**2/5 + 4*m. Factor i(f).
-(f - 1)*(f + 1)*(f + 2)/5
Let n(s) = -8*s**3 - s**2 - s + 1. Let h be n(1). Let v be h/(-18) + 1/(-4). Factor 0*o + v*o**5 - 1/4*o**3 + 0 + 0*o**2 + 0*o**4.
o**3*(o - 1)*(o + 1)/4
Solve -160*v**3 - 30*v**2 - 38*v**2 + 2*v - 6*v - 4*v - 64*v**4 = 0.
-2, -1/4, 0
Let r be 120/(-2)*(-2)/6. Let m be (-10)/45 - r/(-9). Factor 4/11*b**m + 0*b - 18/11*b**3 + 14/11*b**4 + 0.
2*b**2*(b - 1)*(7*b - 2)/11
What is z in 709*z**2 - 709*z**2 - 6*z**4 + 27*z**5 = 0?
0, 2/9
Let k be (-15)/9 - (-9)/3. Solve 0*o - k*o**3 - 2/3*o**4 - 2/3*o**2 + 0 = 0.
-1, 0
Solve 2/11*j**2 + 8/11*j + 6/11 = 0 for j.
-3, -1
Let k(p) = -p**2 + 7*p + 3. Let w be k(7). Let h be ((-12)/8)/(-3) - 0. Factor h*x + 3/2*x**2 + 3/2*x**w + 0 + 1/2*x**4.
x*(x + 1)**3/2
Let g(p) = -2*p - 1. Let n be g(-2). Factor -4*k + 1 + 1 - k**2 + n*k**2.
2*(k - 1)**2
Let j = -3 + -7. Let u = j - -74/7. Factor 2/7*r + u*r**2 + 0.
2*r*(2*r + 1)/7
Let a be ((-15)/(-55))/(3/2). Let r(x) be the second derivative of -2*x - a*x**2 + 0 + 1/33*x**4 - 1/110*x**5 + 1/33*x**3. Solve r(m) = 0.
-1, 1, 2
Let n = 7 - 5. Determine u, given that -2*u**3 + u**2 - 2*u**4 + u**5 + n*u**3 + u**2 - u**3 = 0.
-1, 0, 1, 2
Determine n, given that 5/6*n + 5/6*n**3 + 5 - 10/3*n**2 = 0.
-1, 2, 3
Suppose m = -4*r - m + 22, 5*r + 3*m = 30. Factor 9*i - 3*i**2 - r*i**3 - 1 - 6*i + 4*i**3.
(i - 1)**3
Let p be 28/20 + 64/(-80). Determine a, given that -3/5 - 6/5*a - p*a**2 = 0.
-1
Let z(a) be the first derivative of -2*a**3/3 - 2*a**2 - 2*a + 10. Factor z(x).
-2*(x + 1)**2
Suppose -4*v = -4*w, -4 = -2*w + 2. Let u(h) be the third derivative of h**2 + 1/18*h**4 + 0 + 1/180*h**5 + 0*h + 2/9*h**v. Factor u(z).
(z + 2)**2/3
Suppose 4 + 4 = 4*t. Find r such that -r**t - r**2 + 3 - r**2 = 0.
-1, 1
Let c be (8 - 920/110)*(-22)/20. Factor -c*r**4 - 2/5*r**2 + 0 + 0*r + 4/5*r**3.
-2*r**2*(r - 1)**2/5
Let n(j) be the first derivative of 5*j + 2/3*j**3 + 0*j**2 - 1. Let i(d) = d**2 + 2. Let s(u) = -14*i(u) + 6*n(u). Factor s(f).
-2*(f - 1)*(f + 1)
Let o = -378 - -757/2. Factor 1/4 + 1/4*d**2 - o*d.
(d - 1)**2/4
Let o(w) be the third derivative of -w**6/1260 - w**5/630 + 10*w**2. Find f such that o(f) = 0.
-1, 0
Suppose 2*z + 0*a = 2*a + 6, -5*a = 3*z + 7. Let x(w) = w**2. Let s(h) = -2*h**2 - 3*h. Let m(c) = z*s(c) - x(c). Factor m(g).
-3*g*(g + 1)
Let t(v) be the first derivative of -v**8/336 + v**7/105 - v**5/30 + v**4/24 + 3*v**2/2 + 1. Let s(l) be the second derivative of t(l). Factor s(f).
-f*(f - 1)**3*(f + 1)
Let w(n) be the first derivative of -705/4*n**4 + 105*n**5 + 145*n**3 - 60*n**2 - 2 + 12*n - 49/2*n**6. Factor w(u).
-3*(u - 1)**3*(7*u - 2)**2
Suppose 0 = -8*l + 3*l + 20. Factor 4*t + 4*t**2 - 2*t**4 - 2*t**5 + 4*t**4 - 2*t - 6*t**l.
-2*t*(t - 1)*(t + 1)**3
Solve -4*u**2 - 9 + 6*u**2 - 3*u + 2*u**3 + u**3 + 7*u**2 = 0 for u.
-3, -1, 1
Let w(s) be the first derivative of -2*s**3/9 + 4*s**2/3 - 8*s/3 - 11. Determine p, given that w(p) = 0.
2
Suppose -104 = -r - 101. Factor 0 - r*b**4 + 0*b - 3/2*b**5 + 0*b**2 - 3/2*b**3.
-3*b**3*(b + 1)**2/2
Factor 0 + 0*k + 1/7*k**3 + 0*k**2.
k**3/7
Solve 1/7*u**2 - 1/7*u**3 - 1/7*u**4 + 0 + 1/7*u = 0 for u.
-1, 0, 1
Let h(v) be the third derivative of -v**6/2700 - v**5/225 - v**4/45 - 2*v**3/3 - 5*v**2. Let a(l) be the first derivative of h(l). Factor a(w).
-2*(w + 2)**2/15
Determine j so that 0*j**2 + 0 + 3/5*j**3 + 0*j + 1/5*j**4 = 0.
-3, 0
Suppose -3*o + 20 = 2*o. Solve -o*s + 1 + 2*s**4 - 1 - 9*s**2 - 8*s**3 + 19*s**2 = 0.
0, 1, 2
Let a(b) = -2*b**2 - 4*b + 7. Let f(i) = -3*i**2 - 8*i + 13. Let o(t) = 10*a(t) - 6*f(t). Factor o(y).
-2*(y - 2)**2
Let h(a) = a**3 + 2*a**2 + 2*a - 2. Let s(b) = 1 + 7*b**3 - 4*b**2 - 4*b + 3 - 8*b**3. Let r(y) = -5*h(y) - 3*s(y). Solve r(o) = 0 for o.
-1, 1
Let b(q) = q + 11. Let y be b(-8). Suppose u**3 + 2*u**2 - 2*u**y + 3*u**3 = 0. Calculate u.
-1, 0
Let p(n) be the first derivative of n**4/30 - 2*n**3/15 - 2*n + 3. Let j(s) be the first derivative of p(s). Factor j(z).
2*z*(z - 2)/5
Suppose 1 = 4*n - 7. Let d(p) be the first derivative of 31/12*p**3 + p + 7/2*p**n - 63/16*p**4 + 1. Find m such that d(m) = 0.
-2/7, -2/9, 1
Let g = 11/62 - -381/124. Let -5*o - 1 + 7/4*o**4 - 31/4*o**2 + 5/4*o**5 - g*o**3 = 0. What is o?
-1, -2/5, 2
Let r = 1903/7 + -271. Let 2/7*u - r*u**2 + 0 = 0. What is u?
0, 1/3
Suppose -2 = c - 4*u, -2*c - 3*u + 0*u + 7 = 0. Let n be c/(-3 + 13)*8. Suppose -n*y + 1/5 - 16/5*y**4 + 3*y**2 + 8/5*y**3 = 0. Calculate y.
-1, 1/4, 1
Let r(n) = -n**2 + n - 1. Let k be 36/42 - (-1)/7. Let q(a) = -5*a**2 + 3. Let d(c) = k*q(c) - 6*r(c). What is x in d(x) = 0?
3
Let d(b) be the first derivative of -b**5/15 - b**4/12 + b**3/9 + b**2/6 + 7. Factor d(q).
-q*(q - 1)*(q + 1)**2/3
Let n(v) be the third derivative of v**8/504 - v**7/315 - v**6/60 + v**5/90 + v**4/18 + 36*v**2. Solve n(o) = 0 for o.
-1, 0, 1, 2
Suppose c - 3 = -0*c. Let z(k) be the second derivative of -55/2*k**4 + 0 + 121/10*k**5 + 16*k**c - 4*k**2 + k. Solve z(x) = 0 for x.
2/11, 1
Let d(s) = -s**3 + 6*s**2 - 7*s + 13. Let r be d(5). Find t such that -t**2 + t**4 + 0*t**r - 1/2*t + 0 + 1/2*t**5 = 0.
-1, 0, 1
Let x(h) = 2*h**2 + 7*h + 5. Let n(t) = 25*t**2 + 90*t + 65. Let s(c) = -3*n(c) + 40*x(c). Let s(l) = 0. Calculate l.
-1
Factor 0*q**2 + 36/5*q - 48/5 - 3/5*q**3.
-3*(q - 2)**2*(q + 4)/5
Determine i, given that 2/5*i**3 + 2/5 - 2/5*i**2 - 2/5*i = 0.
-1, 1
Suppose 26/5*v**2 - 8/5 + 38/5*v**3 - 18/5*v**4 - 24/5*v - 14/5*v**5 = 0. What is v?
-2, -1, -2/7, 1
Let f(x) = 9*x**2 - 27*x. Let j(t) = -3*t**2 + 9*t. Suppose -7*h = -3*h + 68. Let a(s) = h*j(s) - 6*f(s). Solve a(v) = 0 for v.
0, 3
Let 4 - 3 + 1 - 4*c - c**2 - 6 = 0. What is c?
-2
Let z(g) be the second derivative of -1/6*g**3 + 0 + 0*g**2 + 0*g**4 + 2*g + 1/20*g**5. Determine n so that z(n) = 0.
-1, 0, 1
Let x(z) be the third derivative of -z**8/28 - 16*z**7/105 - z**6/10 + 2*z**5/15 + 30*z**2. Suppose x(u) = 0. What is u?
-2, -1, 0, 1/3
Let o = -9 - -13. Let -2*t**2 - 2*t - o*t**2 + t**2 - t**2 = 0. What is t?
-1/3, 0
Let q = 1 + 23. Let i be 3/(-5)*(-64)/q. Suppose i*b**2 - 4/5 + 14/5*b = 0. What is b?
-2, 1/4
Let p(v) be the second derivative of -v**6/30 - v**5/20 + v**4/12 + v**3/6 - 11*v. Let p(i) = 0. Calculate i.
-1, 0, 1
Suppose t - 5*t = -28. Suppose m - t = -2*n, 0*n - n - 3*m + 11 = 0. Factor -2*y + 2*y + 4 - 4*y**2 + n*y + 2*y**2.
-2*(y - 2)*(y + 1)
Let v be -4*((-5)/2 + 2). Find q, given that -q**v - 4*q + 2*q**2 + 4*q = 0.
0
Let a = 4 - 2. Let w(n) = n**3 - n**2 - n - 1. Let b(f) = -4*f**2 - 3*f - 1. Let c(t) = a*w(t) - 2*b(t). Factor c(v).
2*v*(v + 1)*(v + 2)
Let q(v) be the first derivative of -v**7/630 + v**6/90 - v**5/45 + 3*v**2/2 - 3. Let b(u) be the second derivative of q(u). Let b(d) = 0. Calculate d.
0, 2
Let h(d) = d**4 - d**3 - d + 1. Let v(z) = 2*z**4 - 4*z**3 - 3*z + 3. Let j(k) = 3*h(k) - v(k). Factor j(w).
w**3*(w + 1)
Let k(f) be the first derivative of f**6/24 + f**5/20 - f**4/16 - f**3/12 + 1. Factor k(x).
x**2*(x - 1)*(x + 1)**2/4
Let b(z) be the third derivative of z**8/10080 - z**6/360 + z**5/20 + 3*z**2. Let f(h) be the third derivative of b(h). Solve f(d) = 0.
-1, 1
Let m(y) be the second derivative of -3*y**7/980 + y**6/210 + y**5/21 + 2*y**4/21 - y**3/6 + 3*y. Let w(v) be the second derivative of m(v). Factor w(n).
-2*(n - 2)*(3*n + 2)**2/7
Let h = -12 - -10. Let i be (h/7)/((-12)/14). Suppose 0*v**2 + 0*v - i*v**3 + 0 = 0. What is v?
0
Suppose 2/3*v**2 - 2/15*v + 0 - 2/3*v**4 - 2/5*v**3 + 8/15*v**5 = 0. Calculate v.
-1, 0, 1/4, 1
Let v(t) be the second derivative of -t**7/28 + t**6/3 - 3*t**5/5 - 5*t**4/12 + 9*t**3/4 - 5*t**2/2 - 13*t. Solve v(a) = 0.
-1, 2/3, 1, 5
Let m(t) = t - 1. Let p be m(6). Suppose 3*o - p - 1 = 0. Factor -3*n**2 + 3*n**o - 2*n**5.
-2*n**5
Let x be 6/(-27)*(9 - (17 - 5)). Factor 4/3*s**3 + 0*s**2 - x*s + 0*s**4 + 0 - 2/3*s**5.
-2*s*(s - 1)**2*(s + 1)**2/3
Let r(q) = q**2 + 5*q + 3. Let w be r(-5). Suppose w = 3*o - 2*o. Factor -1/3*p**4 + 1/3*p**o + 0*p + 1/3*p**2 - 1/3*p**5 + 0.
-p**2*(p - 1)*(p + 1)**2/3
Let a(i) be the first derivative of -35*i**4/2 - 26*i**3 + 8*i + 5. Let a(b) = 0. Calculate b.
-1, -2/5, 2/7
Let z = 94/617 + 2656520/1851. Let n = z + -1350. Factor -416/3*f**3 + n*f**5 - 31/3*f - 176