f**3 - 3/2*f = 0?
-1, 0, 1
Let y = -1 - -9. Suppose 0 = 5*k - y*k. Solve 0 + 2/3*v**2 + k*v = 0 for v.
0
Let q be (-5 - 106/(-20))*3*2. Factor 6/5 + q*l**2 - 3*l.
3*(l - 1)*(3*l - 2)/5
Factor 8/3*t + 2 + 2/3*t**2.
2*(t + 1)*(t + 3)/3
Let p(a) be the first derivative of 0*a + 1/24*a**4 - 1 - 1/48*a**5 - a**3 + 0*a**2 + 1/240*a**6. Let j(d) be the third derivative of p(d). Factor j(m).
(m - 1)*(3*m - 2)/2
Let j(k) be the first derivative of k**4/2 - 8*k**3/3 + 3*k**2 - 19. Determine b so that j(b) = 0.
0, 1, 3
Suppose 3*r + 2*i - 17 = 0, 0*i + i = -r + 7. Let q(v) be the second derivative of -1/2*v**2 - v**4 + 0 - v**r - 1/10*v**6 - 1/2*v**5 - 2*v. Factor q(g).
-(g + 1)**3*(3*g + 1)
Let c(p) = p**2 - 7*p + 5. Let k be c(7). Let h(b) be the third derivative of -b**2 + 0*b - 1/54*b**4 + 0 - 1/27*b**3 - 1/270*b**k. Factor h(v).
-2*(v + 1)**2/9
Let -4/5*q - 8/5 + 4/5*q**3 + 8/5*q**2 = 0. What is q?
-2, -1, 1
Let x(p) be the second derivative of p**4/4 - 3*p**2/2 + 6*p. Factor x(z).
3*(z - 1)*(z + 1)
Let y = 1897/3145 - 2/629. Determine f, given that -1/5*f**4 + 0*f - 4/5*f**3 - y*f**2 + 0 = 0.
-3, -1, 0
Let c(a) be the second derivative of 0*a**2 + 0 + 1/20*a**5 + 0*a**4 + 6*a - 1/6*a**3. Factor c(p).
p*(p - 1)*(p + 1)
Determine n, given that -1/2*n - 1/8*n**2 - 1/2 = 0.
-2
Factor -16 - 14*t + 6*t**3 - 12*t**2 - 12*t - 8*t**3 + 2*t.
-2*(t + 2)**3
Let v(f) be the first derivative of 3*f**5/5 - f**3 - 11. Factor v(d).
3*d**2*(d - 1)*(d + 1)
Let s(u) = -6*u + 162. Let a be s(27). Factor 2/9*g**2 + 0*g**3 - 2/9*g**4 + a*g + 0.
-2*g**2*(g - 1)*(g + 1)/9
Let q = -3/61 - -195/244. Let i = -307/4 + 78. Factor -i*z**2 + 1/2*z + q.
-(z - 1)*(5*z + 3)/4
Find x such that 42 - 18 - 13 - 2*x**2 - 15 + 6*x = 0.
1, 2
Suppose 5*f = 4*v, -f - 9 + 3 = -2*v. What is j in 16*j**5 - 6*j - 37*j**v - 7*j**3 + 34*j**3 + 15*j**4 - 15*j**2 = 0?
-1, -2/7, 0, 1
Find g such that -10*g**3 + 4*g**2 + 10*g**5 + 4*g + 3*g**3 - 18*g**5 - 20*g**4 - 5*g**3 = 0.
-1, 0, 1/2
Let a(z) be the second derivative of 1/60*z**4 - 4*z + 0 - 1/15*z**3 + 0*z**2. Factor a(x).
x*(x - 2)/5
Let l(q) be the first derivative of q**6/45 - 4*q**5/75 - q**4/15 + 8*q**3/45 + q**2/15 - 4*q/15 + 11. Solve l(h) = 0.
-1, 1, 2
Let k(o) be the third derivative of o**10/45360 + o**9/22680 - o**4/24 - o**2. Let l(c) be the second derivative of k(c). Factor l(b).
2*b**4*(b + 1)/3
Solve -1/3*f**2 - 1/9*f + 1/9*f**3 + 2/9 + 1/9*f**4 = 0.
-2, -1, 1
Suppose 0*m - 6 = -3*m. Let -4/13 + 6/13*u**m + 2/13*u = 0. What is u?
-1, 2/3
Solve 0 + 0*l - 2/3*l**2 - 2/3*l**3 = 0 for l.
-1, 0
Let o be (3/81)/(-1 + 38/3). Let k(p) be the third derivative of 0*p**3 - 1/18*p**5 - o*p**7 - 1/45*p**6 + 0*p + 0 - 1/18*p**4 + p**2. Factor k(f).
-2*f*(f + 1)**2*(f + 2)/3
Let h(p) = -p**2 - 8*p + 24. Let r be h(-10). Let -8*k**5 - 1 + 4*k**r - 28*k**2 + 47/2*k**3 + 19/2*k = 0. Calculate k.
-2, 1/4, 1
Let w(h) = -h + 10. Let l be w(7). Determine s so that 0*s**4 - s**l - 3*s**4 + 4*s**4 = 0.
0, 1
Let q(v) be the third derivative of v**8/21 - 4*v**7/35 + 3*v**6/40 + 31*v**2. Suppose q(n) = 0. What is n?
0, 3/4
Let u(v) = -3*v**3 + 33*v**2 + 21*v + 21. Let r(a) = 2*a**3 - 17*a**2 - 10*a - 11. Suppose 6*x - 3*x = 15. Let p(h) = x*u(h) + 9*r(h). Factor p(k).
3*(k + 1)**2*(k + 2)
Let w(g) be the second derivative of 25*g**7/378 + g**6/9 - g**5/5 + 2*g**4/27 - 13*g. Solve w(c) = 0.
-2, 0, 2/5
Factor 1/4*w**2 + 0 - 3/4*w.
w*(w - 3)/4
Let d be 42/18 - 2/6. Factor 1/4*v**4 - 1/2*v + 0*v**3 + 0 - 3/4*v**d.
v*(v - 2)*(v + 1)**2/4
Let h be (119/21 + -3)*12/56. Factor 2/7*v**2 + h*v - 6/7.
2*(v - 1)*(v + 3)/7
Let f(t) be the third derivative of -t**7/2520 - t**6/1080 + t**4/12 - t**2. Let a(w) be the second derivative of f(w). Solve a(j) = 0 for j.
-2/3, 0
Let -2/9*q**3 + 0 + 2/9*q**2 + 4/9*q = 0. Calculate q.
-1, 0, 2
Let m(k) be the third derivative of k**5/20 + 3*k**4/8 + 11*k**2. Find u, given that m(u) = 0.
-3, 0
Let o(q) be the first derivative of -q**6/12 + 3*q**5/10 - q**4/4 + 1. Suppose o(f) = 0. What is f?
0, 1, 2
Let o be (-5 - (1 + -5))*2/(-4). Factor -2*z**2 + o*z**3 - 1 + 5/2*z.
(z - 2)*(z - 1)**2/2
Let o(h) be the second derivative of h**5/15 - 2*h**3/9 + 11*h. Determine l so that o(l) = 0.
-1, 0, 1
Let r = 1922 + -1922. Let b be 2/(-4)*0/2. Solve 1/2*t + r + 0*t**4 + b*t**2 - t**3 + 1/2*t**5 = 0 for t.
-1, 0, 1
Let u(c) be the third derivative of c**7/1260 + c**6/144 + c**5/45 + c**4/36 + 5*c**2. Solve u(r) = 0.
-2, -1, 0
Determine r, given that 15 + 15 - 6 - 21*r**2 + 12*r**3 - 6 - 15*r = 0.
-1, 3/4, 2
Let c(q) be the second derivative of 0*q**3 + 1/48*q**4 + 0*q**2 + 0 - 4*q. Factor c(k).
k**2/4
Let a(v) be the second derivative of v**7/147 + 3*v**6/35 + 3*v**5/7 + 23*v**4/21 + 11*v**3/7 + 9*v**2/7 - 35*v. What is f in a(f) = 0?
-3, -1
Let j(q) = -q + 4. Let g be j(0). Factor 5*s**5 - g*s**3 + 0*s**5 - 9*s**5 - 8*s**4.
-4*s**3*(s + 1)**2
Suppose 11*y - 3*y + 0*y + 4*y - 8 - 4*y**3 = 0. Calculate y.
-2, 1
Suppose 0*m = 4*m - 8. Factor 4 - 32*b + b**m - 4*b**2 - 15*b**2 + 4.
-2*(b + 2)*(9*b - 2)
Let g(h) be the first derivative of -h**3/6 + 2*h - 21. Determine u, given that g(u) = 0.
-2, 2
Solve -3/2*o**3 - 3/2*o**2 + 15/2*o - 9/2 = 0 for o.
-3, 1
Let v(i) be the first derivative of -75*i**4/16 + 15*i**3/2 - 27*i**2/8 - 30. Factor v(o).
-3*o*(5*o - 3)**2/4
Factor -28*w + 10*w**2 + 4*w + 48 - 7*w**2.
3*(w - 4)**2
Let u(h) be the third derivative of 0*h + 0*h**3 + 0 - 1/120*h**4 + 1/600*h**6 - h**2 + 0*h**5. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let f(m) be the second derivative of m**4/8 - 3*m**3/4 - 3*m**2 - 5*m + 5. Factor f(q).
3*(q - 4)*(q + 1)/2
Let b(p) be the second derivative of -p**5/10 - 5*p**4/6 + 13*p**3/3 - 7*p**2 + 14*p. What is o in b(o) = 0?
-7, 1
Let h(o) be the first derivative of o**6/2 + 12*o**5/5 + 15*o**4/4 + 2*o**3 - 13. Factor h(r).
3*r**2*(r + 1)**2*(r + 2)
Let g be (-5 - 0)*(-3)/3. Determine b, given that -b**4 - 4*b**5 + 2*b**4 + 3*b**g = 0.
0, 1
Let o = -6 - -8. Let k(g) be the first derivative of 0*g + 2 - g**o - 5/3*g**3. Factor k(l).
-l*(5*l + 2)
Let n(l) be the second derivative of 4/3*l**3 - 2*l + 5/6*l**4 + 1/5*l**5 + l**2 + 0. Let n(s) = 0. What is s?
-1, -1/2
Let z(m) be the third derivative of m**5/360 - m**3/36 + 2*m**2. Factor z(w).
(w - 1)*(w + 1)/6
Let i(n) be the second derivative of -29/10*n**5 + 0 + 4/3*n**3 + 0*n**2 - 2/3*n**4 - 2*n - 7/5*n**6. Solve i(b) = 0.
-1, -2/3, 0, 2/7
Let g be -3 - 285/(-9) - 3. Let b = -25 + g. Factor -b + 0*i + 2/3*i**2.
2*(i - 1)*(i + 1)/3
Let r be 1/(-4)*(-180)/10. Find k, given that -8*k**3 + 0*k - 2*k**2 - r*k**5 + 0 - 21/2*k**4 = 0.
-1, -2/3, 0
Suppose -4*k = -3*k + 5*g + 4, 3*k - 5 = 2*g. Let f = k + 1. What is z in 4*z - 4*z**4 - 6*z - z**f + 5*z**2 + 2*z**5 = 0?
-1, 0, 1
Let o be (-13 - -13)/(1*-2). Let f(q) be the third derivative of o*q**3 + 1/48*q**4 - 3*q**2 + 0 + 0*q**5 - 1/240*q**6 + 0*q. Factor f(z).
-z*(z - 1)*(z + 1)/2
Suppose 3*i + 5*d = 2*i + 7, -5*d = -10. Let a be 55/15 - (-2)/i. Factor 3*f**3 + 3*f**2 + 0*f**3 - 3*f - 2 + 4*f**a + 3*f**4.
(f + 1)**3*(3*f - 2)
Let n(l) be the second derivative of l**5/60 + l**4/6 + 2*l**3/3 + 4*l**2/3 + 13*l. Factor n(p).
(p + 2)**3/3
Let s = 13/19 - 1/57. Determine r, given that -2/9*r**4 + 0 + 0*r - 4/9*r**2 + s*r**3 = 0.
0, 1, 2
Let c be (-6)/5*-5 - 0. Let k be ((-6)/20)/((-3)/c). What is f in 2/5 + k*f**2 + f = 0?
-1, -2/3
Let j(r) be the third derivative of -r**5/330 + 18*r**2. Factor j(z).
-2*z**2/11
Factor -2/9 + 8/9*n - 2/3*n**2.
-2*(n - 1)*(3*n - 1)/9
Let k(q) be the second derivative of -q**5/120 + q**2 - 4*q. Let p(i) be the first derivative of k(i). Determine f, given that p(f) = 0.
0
Let c(p) be the first derivative of -1/27*p**3 + 1 + 2/9*p + 1/18*p**2. What is f in c(f) = 0?
-1, 2
Factor 0*o**2 + 6/7*o - 2/7*o**3 - 4/7.
-2*(o - 1)**2*(o + 2)/7
Let p(q) be the third derivative of -q**5/60 - q**4/24 + q**3 - 15*q**2. Find j such that p(j) = 0.
-3, 2
Factor 33/4*m**2 + 21/8*m**4 + 9/8 - 27/4*m**3 - 39/8*m - 3/8*m**5.
-3*(m - 3)*(m - 1)**4/8
Let i(o) be the first derivative of o**4/12 + 6. Find g, given that i(g) = 0.
0
Let u(g) = -g**2 + 3*g + 2. Let j be u(2). Suppose 2/11*r**2 - 2/11*r**j + 0*r**3 + 0*r + 0 = 0. What is r?
-1, 0, 1
Factor -2/9*h - 2/3*h**2 + 0*h**3 + 8/9*h**4 + 0.
2*h*(h - 1)*(2*