3 - 2/13*u**3 + 2/13*u + i*u**2 = 0.
-1, 1
Let z be 6*(-3)/9*8. Let x be 2/(-3) + z/3. Let i(h) = -h**3 - h. Let u(c) = 2*c**3 - 4*c**2 - 2*c - 2. Let g(b) = x*i(b) - 2*u(b). Solve g(s) = 0 for s.
-2, -1
Let y(r) be the first derivative of -r**5/15 + r**4/6 - 6. Suppose y(o) = 0. What is o?
0, 2
Let q(u) be the third derivative of 0*u**3 - 2*u**2 + 1/30*u**5 - 1/168*u**8 + 0 + 1/60*u**6 + 0*u**4 + 0*u - 1/105*u**7. Factor q(l).
-2*l**2*(l - 1)*(l + 1)**2
Factor 33*b - 33*b**2 + 39*b - 177*b**3 + 180*b**3 + 108.
3*(b - 6)**2*(b + 1)
Suppose 0*z + 4 = 3*z + h, 0 = -z + h - 4. Suppose 0 = -2*p - z + 4. Find u, given that -u**2 - 2*u**3 - u**4 + 5*u - p*u - 3*u = 0.
-1, 0
Let q(l) be the second derivative of -l**5/80 + l**4/48 + l**3/12 - 10*l. What is u in q(u) = 0?
-1, 0, 2
Let w be 0 - (1 + (-6)/(-3)). Let j be 2/(2 - w/(-3)). What is v in v**3 - 2*v**5 - v**4 + 0*v**2 - v**j + v**5 + 2*v**4 = 0?
-1, 0, 1
Let x be 90/10*(-4 - (-38)/9). Factor -3/4*f**4 - 3/4*f**x + 0 - 3/2*f**3 + 0*f.
-3*f**2*(f + 1)**2/4
Let c(y) be the second derivative of -y**4/3 + 2*y**3/3 + 4*y**2 - 21*y. Factor c(b).
-4*(b - 2)*(b + 1)
Let d(f) be the third derivative of -f**7/1260 - f**6/120 - f**5/30 + f**4/8 + 2*f**2. Let o(r) be the second derivative of d(r). Find q, given that o(q) = 0.
-2, -1
Let g(v) be the third derivative of v**6/120 + 7*v**5/60 + 5*v**4/8 + 3*v**3/2 - 15*v**2. Find f, given that g(f) = 0.
-3, -1
Let a(b) be the second derivative of b**8/168 + 22*b**7/525 + 7*b**6/75 + 4*b**5/75 + 3*b**2/2 - 7*b. Let m(w) be the first derivative of a(w). Factor m(c).
2*c**2*(c + 2)**2*(5*c + 2)/5
Let y(o) be the first derivative of -2*o**3/9 + 2*o**2/3 - 2*o/3 - 46. Factor y(u).
-2*(u - 1)**2/3
Let r be -3*(-1)/(6/4). Suppose -v = -2*v - 5, r*m - 4*v = 30. Factor -1/4 - 1/4*q**4 + 1/2*q**2 + 1/4*q**m + 1/4*q - 1/2*q**3.
(q - 1)**3*(q + 1)**2/4
Let d = 857/2553 + -2/851. Factor 1/6*i - d + 1/6*i**2.
(i - 1)*(i + 2)/6
Factor -30/7*w**2 - 18/7*w**3 - 2*w - 2/7.
-2*(w + 1)*(3*w + 1)**2/7
Let k(f) be the first derivative of -f**4/10 + f**3/3 + 2*f**2/5 - 4*f - 1. Let c(b) be the first derivative of k(b). Let c(o) = 0. What is o?
-1/3, 2
Let w be 6/4*(6 + -4). Find i such that 5*i**4 + 2*i**5 + i**4 - 6*i**3 - 4*i**5 + 2*i**2 + 0*i**w = 0.
0, 1
Suppose 4*y + y = 10. Let 5*n**5 - n**5 + 6*n**3 - 11*n**4 + y*n**4 - n**2 = 0. Calculate n.
0, 1/4, 1
Let g = -105 - -213/2. Solve 3/4*l**2 + g*l + 3/4 = 0.
-1
Let l be 2/(14/(-3)) + 4 + -3. Factor 0*j**3 + 2/7*j + l*j**4 - 4/7*j**2 - 2/7*j**5 + 0.
-2*j*(j - 1)**3*(j + 1)/7
Let k be -3 - (75/100 + 8/(-2)). Let b be 2/3 - (-10)/(-24). Factor -1/4*r**3 + k + b*r - 1/4*r**2.
-(r - 1)*(r + 1)**2/4
Let x(z) be the first derivative of z**4/32 + z**3/24 - z**2/16 - z/8 - 20. Determine b, given that x(b) = 0.
-1, 1
Let o be 5/10 + 34/12. Suppose -3*j = 4*v - 0*v - 16, 0 = -j - 5*v + 9. Factor 2/3*g + o*g**2 + 14/3*g**3 + 2*g**j + 0.
2*g*(g + 1)**2*(3*g + 1)/3
Let z be 4/6 + (-35)/(-15). Suppose -4*v + z*v + 2 = 0. Suppose m**v + 7/4*m - 1/2 = 0. Calculate m.
-2, 1/4
Suppose -4*s + 12 = z - 2, 2*z - 1 = s. Determine f so that -16 + 7 + 11 + s*f + f**2 = 0.
-2, -1
Let b = 2 + 1. Let k = 7 - 5. Factor 3*h**2 - k*h**b + h**2 + 0*h**3.
-2*h**2*(h - 2)
Let r(j) be the third derivative of j**6/120 - j**5/60 - 14*j**2. Factor r(v).
v**2*(v - 1)
Suppose -4*s - 4 = 0, 0 = z - 4*z - 4*s + 5. What is f in -23*f**4 + 20*f - 1 + 3*f**2 + 19*f**4 - 70*f**z - 45*f**4 - 3 = 0?
-1, 2/7
Suppose 84 = 3*q + q + 2*c, 2*q - 42 = c. Suppose q*u**4 + 3*u**2 - 4*u**2 - 20*u**4 = 0. Calculate u.
-1, 0, 1
Let t(f) = 2*f - 3. Let a be t(4). Suppose a + 1 = 2*v. Determine h, given that -3*h**v - 22*h**5 + 19*h + 4 - 41*h**4 + h**5 + 5*h + 37*h**2 = 0.
-1, -2/3, -2/7, 1
Let p(y) = -13*y**2 - 22*y + 12. Let w(i) = -12*i**2 - 21*i + 12. Let a(n) = -3*p(n) + 2*w(n). Factor a(l).
3*(l + 2)*(5*l - 2)
Suppose -8*v**4 - 3*v**3 - v**4 + 6*v**2 + 0*v**4 = 0. Calculate v.
-1, 0, 2/3
Let b(x) = x - 1. Let u be b(1). Let v be -3 + (-33)/(-6) + -2. Suppose v + u*i - 1/2*i**2 = 0. What is i?
-1, 1
Solve -1/3*k**2 - 1/3 - 2/3*k = 0.
-1
Let p(j) be the second derivative of j**7/280 - j**6/30 + 3*j**5/40 + 2*j**3/3 - 9*j. Let c(h) be the second derivative of p(h). Factor c(q).
3*q*(q - 3)*(q - 1)
Let y(k) be the third derivative of -k**7/21 - 8*k**6/15 - 2*k**5/5 - 33*k**2. Let y(o) = 0. Calculate o.
-6, -2/5, 0
Let k(f) be the first derivative of f**4/2 + 4*f**3/3 + 3*f**2/2 + 1. Let r(w) = -w**3 - w**2 - w. Let i(a) = 2*k(a) + 2*r(a). Suppose i(o) = 0. What is o?
-2, -1, 0
Factor -1/4*p**3 + 1/4*p**4 + 1/4*p - 1/4*p**2 + 0.
p*(p - 1)**2*(p + 1)/4
Let y(w) = -w**2 - 3*w + 1. Let c(p) = -2*p**2 - 5*p + 2. Let a(f) = 3*c(f) - 5*y(f). Factor a(o).
-(o - 1)*(o + 1)
Let x(y) = y. Let g be x(0). Determine u, given that g*u + 2/9*u**2 + 0 = 0.
0
Suppose h - 3 = 3. Let q(p) be the third derivative of -1/420*p**h + 0*p**3 + p**2 + 1/105*p**5 + 0 + 0*p - 1/84*p**4. Find x such that q(x) = 0.
0, 1
Let z(t) be the first derivative of -t**8/6720 + t**7/3360 + t**6/720 + 2*t**3/3 + 1. Let v(r) be the third derivative of z(r). Factor v(s).
-s**2*(s - 2)*(s + 1)/4
Let g(t) = -t**3 - 4*t**2 - 2*t - 2. Suppose v - 6 = -0*v. Let z(n) = -n**3 - 4*n**2 - 3*n - 2. Let m(x) = v*z(x) - 4*g(x). Find b such that m(b) = 0.
-2, -1
Suppose 0 = 3*v + 2*v. Factor l**3 - 2*l**3 + 2*l**2 + v*l**2 - l**3.
-2*l**2*(l - 1)
Let w be (3/(-2) - (-3)/2)/2. Suppose -2*z**3 + w - 8/3*z**2 - 8/9*z = 0. Calculate z.
-2/3, 0
Suppose 17 = 2*o - 23. Let m be (2/o)/(4/70). Solve -3/4*t**4 - 1/2*t - m*t**2 - 2*t**3 + 0 = 0 for t.
-1, -2/3, 0
Suppose -5*c + 0*j = -4*j - 16, -24 = -5*c - 4*j. Factor 4*f**2 - f - 3*f**5 + 7*f**5 - 2*f**5 - f - c*f**4.
2*f*(f - 1)**3*(f + 1)
Let r = -121143/5 + 24319. Let s = r + -90. Factor -6/5*k**2 - s*k**3 - 2/5 - 6/5*k.
-2*(k + 1)**3/5
Factor 20/21*n**2 + 2/21*n**3 + 50/21*n + 0.
2*n*(n + 5)**2/21
Factor 0 - 5/3*p**2 + 4/3*p**3 + 2/3*p - 1/3*p**4.
-p*(p - 2)*(p - 1)**2/3
Let w = -15 + 22. Solve -4*k**3 + 12*k**2 + 3*k - k**4 + w*k**4 + 19*k**3 = 0.
-1, -1/2, 0
Suppose -5*v = 3*y - 13, 6*y - y - 1 = 2*v. Factor -2/3*s + 1/3*s**v + 1/3.
(s - 1)**2/3
Let s(i) be the third derivative of i**6/120 - i**4/24 - 4*i**2. Factor s(r).
r*(r - 1)*(r + 1)
Let y(q) be the second derivative of 0*q**2 - 1/15*q**3 - 3/20*q**4 + 0 + 3/50*q**6 + 3*q + 1/30*q**7 - 1/20*q**5. Let y(c) = 0. What is c?
-1, -2/7, 0, 1
Let g(f) = -4*f**5 + 5*f**4 - 9*f**2 - 3*f - 3. Let b = -6 + 3. Let o(a) = -5*a**5 + 5*a**4 + a**3 - 9*a**2 - 4*a - 4. Let t(s) = b*o(s) + 4*g(s). Factor t(x).
-x**2*(x - 3)**2*(x + 1)
Let f(u) be the first derivative of 2*u**5/25 + u**4/10 - 8*u**3/15 - 4*u**2/5 - 5. Solve f(b) = 0 for b.
-2, -1, 0, 2
Let h(r) be the second derivative of 0*r**3 + 0 + 6*r - 1/12*r**4 + 1/10*r**5 + 0*r**2 - 1/30*r**6. Factor h(x).
-x**2*(x - 1)**2
Let a(r) be the third derivative of r**5/240 - r**4/24 + r**3/6 + 3*r**2. Let a(z) = 0. What is z?
2
Let z = -1/110 + 113/330. Suppose 0 - 1/3*v**2 - 1/3*v + z*v**3 + 1/3*v**4 = 0. What is v?
-1, 0, 1
Let h(t) be the first derivative of 0*t**2 + 0*t + 1/22*t**4 - 2/33*t**3 + 2/55*t**5 + 2 - 1/33*t**6. Factor h(o).
-2*o**2*(o - 1)**2*(o + 1)/11
Factor -3*o**3 - 81*o + 81*o - 3*o**2.
-3*o**2*(o + 1)
Let p(a) = -a**3 - a + 1. Let q(c) = 2*c**3 + c**2 + 3*c - 3. Let o be 17/3 - (-4)/12. Let m(g) = o*p(g) + 2*q(g). Factor m(v).
-2*v**2*(v - 1)
Let s(t) be the third derivative of -t**7/1680 + t**5/160 - t**4/96 - 19*t**2. Determine d, given that s(d) = 0.
-2, 0, 1
Factor 2/13*l**2 - 2/13 + 0*l.
2*(l - 1)*(l + 1)/13
Let b(t) = -t**3 - 10*t**2 - 9*t - 3. Let d be b(-9). Let n(m) = -m**2 - 8*m + 11. Let l(f) = 2*f**2 + 24*f - 32. Let s(c) = d*l(c) - 8*n(c). Factor s(z).
2*(z - 2)**2
Suppose -2*p + 15 = -p. Let g be p/11 + (-1 - 0). Determine r, given that -g*r**2 + 2/11*r + 2/11 = 0.
-1/2, 1
Let u(a) be the second derivative of a**5/90 + a**4/9 + 4*a**3/9 - a**2/2 - 2*a. Let p(l) be the first derivative of u(l). Factor p(s).
2*(s + 2)**2/3
Factor -8/11 - 10/11*k**2 - 2/11*k**3 - 16/11*k.
-2*(k + 1)*(k + 2)**2/11
Let r(k) = -7*k - 1. Let j(h) = h**2 - 21*h - 2. Let l(q) = -2*j(q) + 7*r(q). Factor l(z).
-(z + 3)*(2*z + 1)
Let p be ((0 - 0)*(-2)/(-4))/2. What is s in -1/3*s**4 + p*s**2 +