b(l) - 9*y(l). Let z(i) = 0. What is i?
0, 2
Suppose 4*z - 6 = y, 0 = -3*y - z + 4*z. Suppose -5*s = -5*u + 45, 16 = y*u - 3*u - 4*s. Factor 0 - k**3 + 1/3*k**u - 1/3*k + k**2.
k*(k - 1)**3/3
Suppose 0 = o + s - 1, -3*o - 2*s + 2 = 2*s. Suppose o*b = -3*b + 10. Solve -6/7*p + 4/7*p**3 + 2/7 + 2/7*p**5 + 4/7*p**b - 6/7*p**4 = 0.
-1, 1
Suppose -5*t + 4 = -2*b, -2*b + 4*t - 8 = -2. Let l be 1/b + 228/28. Factor -3*z**2 - 16/3*z**4 + 0 + 1/3*z + l*z**3.
-z*(z - 1)*(4*z - 1)**2/3
Let -136/7*j + 578/7*j**2 + 8/7 = 0. Calculate j.
2/17
Let z(x) be the second derivative of -3*x + 0 + 1/3*x**3 + 2/3*x**2 + 1/18*x**4. Let z(u) = 0. Calculate u.
-2, -1
Suppose 7*i - 3*i = -8. Let v be (-3 - -4)/((-1)/i). Factor -4/7*b**v + 2/7*b + 2/7*b**5 - 4/7*b**3 + 2/7 + 2/7*b**4.
2*(b - 1)**2*(b + 1)**3/7
Suppose 0*h - 8 = -3*k - h, k = -4*h - 1. Suppose -3*y = -k*s - 6, 5*y = 3*s + 18 - 4. Factor 5*p - y*p**4 - 3*p - 4*p**5 + 0*p**4 + 4*p**2 + 2*p**5.
-2*p*(p - 1)*(p + 1)**3
Let z(q) be the third derivative of 1/15*q**3 + 1/40*q**4 + 0*q + 0 + 1/300*q**5 - 3*q**2. Factor z(l).
(l + 1)*(l + 2)/5
Let c = -19 + -7. Let u be 18/(-81) + c/(-36). Determine z so that 1/2*z**2 + u + z = 0.
-1
Let v(d) be the first derivative of -3 - 6/5*d**5 + 0*d + 2*d**2 + 5*d**4 - 6*d**3. Find b such that v(b) = 0.
0, 1/3, 1, 2
Let a(k) be the third derivative of -k**5/330 + k**4/22 - 3*k**3/11 - 4*k**2. Determine o so that a(o) = 0.
3
Let h(y) be the third derivative of -y**6/180 + y**5/90 + y**4/18 + 3*y**2. Factor h(u).
-2*u*(u - 2)*(u + 1)/3
Let t be (2/(-5))/((-3)/(-822)). Let f = t + 111. Factor -4/5*n**3 + f*n - 2/5 - 4/5*n**2.
-(n + 2)*(2*n - 1)**2/5
Let c = -98/5 - -20. Solve 2/5*u**2 + c + 4/5*u = 0 for u.
-1
Let i(w) be the first derivative of 2*w**2 + 1/5*w**5 + 2*w**3 + w**4 + w + 1. Let i(x) = 0. What is x?
-1
Determine t so that 2/13*t + 2/13*t**2 - 2/13 - 2/13*t**3 = 0.
-1, 1
Let s be (10/20)/(((-5)/3)/(-5)). Find h such that 3/2*h**2 + s*h - h**3 - 1 = 0.
-1, 1/2, 2
Let z(t) = -t**3 + 2*t**2 + 2*t - 3. Let w be z(3). Let b(d) = -d**3 - 7*d**2 - 6*d + 2. Let f be b(w). Factor -1/4 - 1/4*i**f - 1/2*i.
-(i + 1)**2/4
Let r(o) be the third derivative of o**8/1680 - 2*o**7/175 + 47*o**6/600 - 13*o**5/75 - 2*o**4/5 + 32*o**3/15 + o**2 + 7. Factor r(d).
(d - 4)**3*(d - 1)*(d + 1)/5
Let p(c) be the first derivative of -3*c**4/4 - 3*c**3 - 9*c**2/2 - 3*c + 19. Solve p(t) = 0 for t.
-1
Let l be 4375/19485 + (-8)/36. Let f = 3471/3031 - l. Factor -2/7*o - f*o**2 - 6/7*o**3 + 0.
-2*o*(o + 1)*(3*o + 1)/7
Let v(f) be the second derivative of 3*f**5/20 - f**4/4 - 3*f. Factor v(w).
3*w**2*(w - 1)
Let f(t) be the first derivative of 3*t**3 + 2*t**2 + 3*t - 2 + 7/6*t**4. Let n(l) be the first derivative of f(l). What is y in n(y) = 0?
-1, -2/7
Let l(k) be the first derivative of -4*k**3 - 10*k**2 + 8*k + 8. Suppose l(z) = 0. Calculate z.
-2, 1/3
Let r(t) = -6*t**2 - 4*t + 4. Let n(c) = -c**2. Let p(d) = 3*n(d) - r(d). Let p(j) = 0. Calculate j.
-2, 2/3
Let v(a) = 8*a**3 - 14*a**2 + 14*a - 3. Let u(w) = -3*w - 1. Let h be u(-2). Let r(o) = o**3 - o**2 + o. Let k(l) = h*r(l) - v(l). Factor k(z).
-3*(z - 1)**3
Factor d**3 + 3*d**2 - 2*d**3 - 2 - d**2 + d.
-(d - 2)*(d - 1)*(d + 1)
Let l(z) = -z - 1. Let q be l(-4). Suppose q*i - 16 = 4*g - 3*g, -2 = -g. Factor i + 2*y**2 + 10 - 12*y + 2.
2*(y - 3)**2
Let r be 66/12 - 6 - (-3)/4. Factor 0 + 1/4*t**4 + 0*t + r*t**2 - 1/2*t**3.
t**2*(t - 1)**2/4
Let g be (-7)/1*2/(-7). Factor 4*a - 14*a**4 - 8*a**2 + 0*a**g + 0*a**4 - 14*a**2 + 32*a**3.
-2*a*(a - 1)**2*(7*a - 2)
Let u(t) be the second derivative of -1/2*t**2 - 4*t + 1/4*t**4 - 1/3*t**3 + 0. Factor u(w).
(w - 1)*(3*w + 1)
Suppose 12/5*b - 9/5*b**2 - 6/5*b**3 + 3/5*b**4 + 12/5 = 0. What is b?
-1, 2
Let v(x) = 2*x**3 - 5*x**2 - 5*x + 2. Let r(f) = f**2 + f. Let m(l) = 3*r(l) + v(l). Solve m(a) = 0.
-1, 1
Let r(l) be the third derivative of -l**6/120 + 3*l**5/20 + 5*l**4/12 + l**3/3 - 7*l**2. Let y be r(10). Suppose 1/5 + 0*j - 1/5*j**y = 0. Calculate j.
-1, 1
Let z(h) = 68*h**3 - 428*h**2 + 868*h. Let v(a) = a**4 - 69*a**3 + 429*a**2 - 867*a. Let y(o) = -4*v(o) - 3*z(o). Solve y(c) = 0 for c.
0, 6
Let i(h) be the second derivative of -h**5/50 + h**4/10 - 2*h**3/15 + 7*h. Factor i(k).
-2*k*(k - 2)*(k - 1)/5
Let y(v) be the second derivative of 1/12*v**4 - 1/2*v**2 - 6*v + 3/4*v**3 + 0 - 9/40*v**5. Solve y(x) = 0 for x.
-1, 2/9, 1
Suppose -12 - 88 = -25*x. Let 12/7*q**2 + 2/7*q**x + 8/7*q + 2/7 + 8/7*q**3 = 0. Calculate q.
-1
Let p(g) be the second derivative of 1/36*g**4 + g + 2/9*g**3 - 1/90*g**5 + 0 - g**2. Let i(u) be the first derivative of p(u). Let i(n) = 0. What is n?
-1, 2
Factor 23 + 5*s - 8*s - 5 - s**2 - 2*s**2.
-3*(s - 2)*(s + 3)
Let u(c) be the first derivative of c**3/6 - 5*c**2/8 + c/2 + 4. Let u(z) = 0. What is z?
1/2, 2
Let i be (-16)/12*(-18)/12. Let w(z) be the second derivative of -1/10*z**3 - 3*z + 0 + 3/100*z**5 + 1/10*z**4 - 3/5*z**i. Factor w(r).
3*(r - 1)*(r + 1)*(r + 2)/5
Let d be (0 - 1) + (-36)/(-28). Suppose -18*l + 14*l = -12. Factor -2/7*r**2 + 2/7 + d*r - 2/7*r**l.
-2*(r - 1)*(r + 1)**2/7
Let v(q) = -q**4 + q**3 - 11*q**2 + q + 4. Let n(i) = i**4 - 2*i**3 + 12*i**2 - 2*i - 5. Let u(g) = -5*n(g) - 6*v(g). Suppose u(l) = 0. Calculate l.
-1
Let h(t) be the second derivative of 1/48*t**4 + 0 - 6*t + 1/12*t**3 + 0*t**2. Determine y so that h(y) = 0.
-2, 0
Let l(b) be the third derivative of -2*b**7/105 - b**6/10 + 2*b**4/3 - 60*b**2. Solve l(m) = 0.
-2, 0, 1
Let w(t) = 3*t**2 + 6*t + 4. Let j(r) = -4*r**2 - 7*r - 4. Let v(h) = 2*j(h) + 3*w(h). Determine m, given that v(m) = 0.
-2
Let z(v) = v**3 - 6*v**2 - 5*v - 10. Let p be z(7). Let k be ((-3)/30)/(p/(-10)). Find t, given that 1/4*t**3 + 0 + 1/4*t**4 - 1/4*t - k*t**2 = 0.
-1, 0, 1
Let o be 2/(4/6) - -1. Determine u so that 13*u**2 - 9*u**2 - u**4 - 2*u**3 - u**o = 0.
-2, 0, 1
Let g(l) be the second derivative of -l**4/114 - 2*l**3/57 - l**2/19 + 22*l. Factor g(b).
-2*(b + 1)**2/19
Let n = 0 - -4. Suppose 2*g - 3*g = -n. Suppose -4*r**4 - 2*r**3 - 2*r**5 + 4*r**g - 4*r**4 = 0. What is r?
-1, 0
Let c(b) = 2*b + 2. Let z be c(-2). Let u be 3 + (2 - (-4)/z). Suppose 15*p**2 - 9*p**u - 2 - 3*p - 3 + 2 = 0. What is p?
-1/3, 1
Let r(l) be the third derivative of 1/210*l**5 + 0*l + 1/21*l**3 - l**2 + 0 + 1/42*l**4. Factor r(y).
2*(y + 1)**2/7
Let l be (0 + -2 + 0)/(-2) + -1. Determine x so that -3/2*x - 9*x**2 + l = 0.
-1/6, 0
Suppose -3*p + f - 6 = 3, 5*f + 19 = -p. Let d = p + 6. Factor 0*y + 4 + 4*y + y**d + 0*y**2.
(y + 2)**2
Let i(l) be the third derivative of -1/120*l**5 + 1/12*l**3 - 1/48*l**4 + 0 + 1/240*l**6 + 3*l**2 + 0*l. Factor i(d).
(d - 1)**2*(d + 1)/2
Suppose -6 = -3*x + 3. Factor 0 - 4/5*c**2 + 2/5*c + 2/5*c**x.
2*c*(c - 1)**2/5
Determine l so that -8/3*l**3 - 4/3*l**2 + 0*l**4 + 4/3 + 2/3*l**5 + 2*l = 0.
-1, 1, 2
Solve 5 - 29*v**3 + 27*v**3 + 15*v - 18*v**3 = 0 for v.
-1/2, 1
Let h(v) be the second derivative of -v**7/16380 + v**6/1560 - v**5/390 + v**4/4 - v. Let n(g) be the third derivative of h(g). Determine x so that n(x) = 0.
1, 2
Let z be (-3)/(3/4) + 7. Factor k - 2*k + 2*k**z - 2*k - 4 - 3*k.
2*(k - 2)*(k + 1)**2
Let s(p) be the first derivative of -p**4/10 - 2*p**3/15 + p**2 - 6*p/5 + 4. Find f such that s(f) = 0.
-3, 1
Let v(n) = -n**3 - n**2 + 2*n + 1. Let g(h) = -8*h**4 - 10*h**3 + 4*h**2 + 14*h + 4. Let u(z) = -g(z) + 4*v(z). Factor u(k).
2*k*(k - 1)*(k + 1)*(4*k + 3)
Suppose 9 = 4*l + p, -p = -5*l - 0*l. Let i(c) be the first derivative of -l - 3/5*c**5 + 0*c**2 + 0*c**3 - 1/2*c**4 + 0*c. Factor i(k).
-k**3*(3*k + 2)
Let w(d) = -d - 6. Suppose 2*h = -10 - 8. Let t be w(h). Determine n so that -5*n**3 - 2*n + 7*n**t + 0*n = 0.
-1, 0, 1
Let o(c) be the first derivative of -c**6/12 + c**5/10 + c**4/4 - c**3/3 - c**2/4 + c/2 - 8. Factor o(b).
-(b - 1)**3*(b + 1)**2/2
Let z(x) be the first derivative of x**6/45 - x**4/18 - 3*x + 2. Let o(a) be the first derivative of z(a). Factor o(d).
2*d**2*(d - 1)*(d + 1)/3
Let i(z) be the first derivative of -2*z**2 - 2/9*z**3 - 4 - 6*z. Factor i(r).
-2*(r + 3)**2/3
Let j be (-16 + -14)*4/(-5). Let n = j + -20. Solve -8*w - 2 - 2*w**5 + n*w**4 - 13/2*w**2 + 11/2*w**3 = 0.
-1, -1/2, 2
What is p in 3*p**2 - p**2 - p**3 - 6*p**5 + 3*p**3 + 4*p**5 - 2*p**4 = 0?
-1,