 0*b**2 + 0 + 2/3*b**5.
2*b**4*(b - 1)/3
Suppose 2*w + 2 = -2, -c + 13 = -5*w. What is d in 1 - c - 1 + 2 + d**2 = 0?
-1, 1
Let f(l) be the first derivative of -l**3 - 17 + 14 + 0*l**3 - l + 2*l**2. Solve f(y) = 0.
1/3, 1
Let q be (-2)/16*(-1)/(1/2). Let r(c) be the first derivative of -c + 1/3*c**3 - 1/2*c**2 + q*c**4 + 2. Suppose r(l) = 0. Calculate l.
-1, 1
Let p(g) be the first derivative of g**4/2 + 2*g**3 - 8*g + 5. Factor p(i).
2*(i - 1)*(i + 2)**2
Let s(t) = -44*t**4 + 104*t**3 - 28*t**2 - 148*t - 28. Let p(y) = -8*y**4 + 19*y**3 - 5*y**2 - 27*y - 5. Let x(r) = -28*p(r) + 5*s(r). Factor x(h).
4*h*(h - 2)**2*(h + 1)
Let h(g) = -20*g**3 + 44*g**2 - 24*g - 8. Let y(c) = -7*c**3 + 15*c**2 - 8*c - 3. Let f(q) = -3*h(q) + 8*y(q). Determine p, given that f(p) = 0.
0, 1, 2
Factor 2/9*h**4 + 8/9*h + 2/3*h**2 - 8/9*h**3 - 8/9.
2*(h - 2)**2*(h - 1)*(h + 1)/9
Let w(d) be the first derivative of d**5/35 + 3*d**4/28 + d**3/7 + d**2/14 + 1. Find h such that w(h) = 0.
-1, 0
Let f(v) be the second derivative of -v**5/100 + v**4/10 - v**3/10 - v**2 + 34*v. Solve f(w) = 0 for w.
-1, 2, 5
Let s = 531/455 - -3/91. Let x be -1 + (21/5 - 2). Solve -4/5*d**4 + 2/5 + x*d**3 + 2/5*d**2 - s*d = 0.
-1, 1/2, 1
Let q(g) be the first derivative of -g**5/35 + 3*g**4/28 - 2*g**3/21 - 15. Suppose q(v) = 0. Calculate v.
0, 1, 2
Let i(o) = o**4 - 6*o**3 - 5*o**2 - 2*o. Let z(t) = 6*t**4 - 31*t**3 - 25*t**2 - 10*t. Let b be 2 + (4 - 3) - 36. Let f(j) = b*i(j) + 6*z(j). Factor f(p).
3*p*(p + 1)**2*(p + 2)
Let b(w) = -6*w**3 - 6*w**2 - 2*w - 7. Let z(u) = 5*u**3 + 5*u**2 + 2*u + 6. Let s(g) = 6*b(g) + 7*z(g). Solve s(n) = 0 for n.
-2, 0, 1
Let o be (7 - (-4 + 6))/3. Let 0*h + 0 + 1/3*h**2 - o*h**3 = 0. Calculate h.
0, 1/5
Let j(z) = -2*z**5 + 4*z**4 + 2*z**3 - z**2 - 3*z + 3. Let k(g) = g**5 - g**4 - g**3 + g - 1. Let d(s) = -j(s) - 3*k(s). Factor d(p).
-p**2*(p - 1)*(p + 1)**2
Suppose 0 = h + 4*p - 8, -2*h - p + 11 = -4*h. Let k = h + 4. Let -2/7*v + k + 2/7*v**4 - 6/7*v**3 + 6/7*v**2 = 0. What is v?
0, 1
Suppose 4*m + 4 = 4*a, 3*m + 27 = 3*a - 6*a. Let s(q) = -q**2 - 4*q + 7. Let d be s(m). Factor -o - 2 - o**2 + 0 + o**3 + 3*o**d.
(o - 1)*(o + 1)*(o + 2)
Let g(t) be the first derivative of -t**4 + 1/6*t**6 + 2/3*t**3 - 2*t + 3/2*t**2 - 10 + 0*t**5. Factor g(p).
(p - 1)**3*(p + 1)*(p + 2)
Factor -8*i**2 + 36/5*i**3 - 14/5*i**4 + 16/5*i + 0 + 2/5*i**5.
2*i*(i - 2)**3*(i - 1)/5
Suppose -5*z + 26 = 3*b + b, 3*b - 2 = 5*z. Suppose -z*l = 0, 3*g + 0*g + 4*l - 6 = 0. Suppose 1/2*t**3 + 0 - t**g + 1/2*t = 0. Calculate t.
0, 1
Let s(q) be the second derivative of 2*q**7/21 + q**6/10 - q**5/4 - q**4/4 + q**3/6 - 40*q. Let s(w) = 0. Calculate w.
-1, 0, 1/4, 1
Let p be (-27)/18 + -1 + 3. Let y(v) be the first derivative of 2 + 1/5*v**5 + p*v**2 + v**3 + 0*v + 3/4*v**4. Find c, given that y(c) = 0.
-1, 0
Let v(k) be the third derivative of -k**8/420 - 4*k**7/525 + 7*k**6/150 - 4*k**5/75 + 8*k**2. Find j such that v(j) = 0.
-4, 0, 1
Let v(b) be the second derivative of b**6/120 + b**5/40 - b**4/16 + 11*b - 1. What is z in v(z) = 0?
-3, 0, 1
Let d = 69/112 + -3/16. Let s = 13/14 - d. Suppose s - 9/4*w + w**2 = 0. Calculate w.
1/4, 2
Factor 2*b**2 - 4*b - 5*b**2 + 10*b + 5*b**2.
2*b*(b + 3)
Let o(s) be the first derivative of 1/4*s**2 + 1/4*s**4 - 2/3*s**3 + 0*s - 1/4*s**6 - 2 + 2/5*s**5. What is h in o(h) = 0?
-1, 0, 1/3, 1
Let g(v) be the first derivative of 3*v**4/32 + v**3/8 + 5. Determine n so that g(n) = 0.
-1, 0
Let t(d) be the third derivative of -d**7/840 + d**2. Suppose t(o) = 0. Calculate o.
0
Let t(m) be the first derivative of m**5/10 + 3*m**4/2 + 9*m**3 + 27*m**2 + m + 7. Let q(w) be the first derivative of t(w). Factor q(r).
2*(r + 3)**3
Factor -2*s**3 + 32 + 334*s - 422*s + 64*s**2 - 12*s**3.
-2*(s - 2)**2*(7*s - 4)
Let f(o) = -o + 8. Let a be f(6). Suppose -4*x = -5*x - g - a, 0 = x + 2*g + 6. What is h in -2/3*h**3 + 8/3*h**x + 4/3 - 10/3*h = 0?
1, 2
Suppose -28*v - 6 = -31*v. Factor -3/7*f + 0 - 3/7*f**v + 3/7*f**3 + 3/7*f**4.
3*f*(f - 1)*(f + 1)**2/7
Let r(g) be the third derivative of 0*g - 4/3*g**3 + 1/15*g**5 + 0 - 1/6*g**4 + 4*g**2. Find s, given that r(s) = 0.
-1, 2
Let g(l) be the first derivative of -2*l**3/39 + 6*l**2/13 + 14*l/13 - 22. Let g(q) = 0. Calculate q.
-1, 7
Let v(c) be the second derivative of 1/9*c**2 - 3*c + 1/9*c**4 + 0 - 4/27*c**3 + 1/135*c**6 - 2/45*c**5. What is k in v(k) = 0?
1
Let x(m) be the third derivative of -m**7/525 - m**6/150 - m**5/150 - 11*m**2. Factor x(t).
-2*t**2*(t + 1)**2/5
Let d = -5 - -11. Let a = d - 3. Factor l**a + 10*l**3 + 6*l**4 + 2*l**2 - 3*l**3.
2*l**2*(l + 1)*(3*l + 1)
Let k(q) = -4*q**3 - q**2 - 4*q. Let w(n) be the first derivative of -9*n**4/4 - n**3 - 9*n**2/2 + 3. Let b(c) = 7*k(c) - 3*w(c). Let b(a) = 0. Calculate a.
0, 1
Let j = -649/7 + 93. Solve -2/7*v**4 + 0 + j*v + 2/7*v**2 - 2/7*v**3 = 0.
-1, 0, 1
Let k(v) be the first derivative of -3*v**3 - 7/2*v**2 + 2*v + 6. Let k(i) = 0. Calculate i.
-1, 2/9
Find c, given that 14/3*c**4 + 10/3*c**3 + 0*c + 0 - 4/3*c**2 = 0.
-1, 0, 2/7
Let s be 6/((-27)/6 + 3). Let y = -18/5 - s. Find n such that 0*n + 2/5*n**2 + 0*n**3 - y*n**4 + 0 = 0.
-1, 0, 1
Let y(b) be the first derivative of -3*b**4/20 - 6*b**3/5 - 27*b**2/10 - 12*b/5 - 2. Solve y(t) = 0 for t.
-4, -1
Suppose 2*r + 4 = -3*k, -3*r - 5 - 1 = 3*k. Let n be k + 1 + (4 - 3). Find m, given that 1/2*m**n + 0 + 1/4*m + 1/4*m**3 = 0.
-1, 0
Suppose 0*f + 2*f = t - 50, 3*t - 102 = 4*f. Let a be (-4)/(-6)*(-9)/f. Factor -1/4*k**2 + 1/4*k + 1/4 - a*k**3.
-(k - 1)*(k + 1)**2/4
Let x(c) be the first derivative of 0*c + 1/5*c**5 + 1/30*c**6 + 4/15*c**3 + 2/5*c**4 + 0*c**2 - 1. Solve x(n) = 0.
-2, -1, 0
Let j(g) be the first derivative of 5*g**3/3 - 15*g**2/2 - 90*g - 37. Factor j(o).
5*(o - 6)*(o + 3)
Let o = 394 + -390. Factor 4/9*k**2 + 2/9 - 2/3*k**o - 2/9*k**5 - 4/9*k**3 + 2/3*k.
-2*(k - 1)*(k + 1)**4/9
Let k(v) = -v. Let z(f) = -5*f**2 + 75*f - 125. Let a(h) = 25*k(h) + z(h). Let a(o) = 0. What is o?
5
Let r(g) be the second derivative of 2*g**7/105 - 19*g**6/150 - 9*g**5/100 + 19*g**4/60 + g**3/6 + 2*g - 39. Find t such that r(t) = 0.
-1, -1/4, 0, 1, 5
Let q(w) be the third derivative of w**6/840 - w**5/210 - w**4/168 + w**3/21 + 7*w**2. Factor q(j).
(j - 2)*(j - 1)*(j + 1)/7
Let u(q) = 3*q**2 + 2*q - 1. Let g be u(1). Factor 2*a - 11*a**2 + a**4 + 3*a**2 + 10*a**3 - 2*a**4 - 3*a**g.
-2*a*(a - 1)**2*(2*a - 1)
Let h(j) = 2*j**2 + j + 1. Let a be h(-1). Let -2*p + a*p**3 + 4*p**2 - 4*p**2 = 0. What is p?
-1, 0, 1
Let z(n) = -13*n**2 - 45*n - 37. Let a(t) = -6*t**2 - 22*t - 18. Let v(w) = 5*a(w) - 2*z(w). Solve v(o) = 0 for o.
-4, -1
Suppose -65 = 4*d + 3. Let w = d + 19. Find a such that 0 + 0*a - 9/2*a**4 + a**w - 7/2*a**3 = 0.
-1, 0, 2/9
Suppose -2*o + 12 = 3*h - 11, -2*h = -4*o + 6. What is d in 1/4*d**2 + 0*d - 1/4*d**o + 0 + d**5 - d**3 = 0?
-1, 0, 1/4, 1
Let s(o) be the first derivative of -16*o**5/15 - 14*o**4/3 - 19*o**3/3 - 19*o**2/6 - 2*o/3 - 4. Solve s(m) = 0 for m.
-2, -1, -1/4
Factor -35/6*f**2 + 25/2*f - 15/2 + 5/6*f**3.
5*(f - 3)**2*(f - 1)/6
Factor 16/5 - 58/5*n + 7/5*n**2.
(n - 8)*(7*n - 2)/5
Let z be (-9)/(1*(3 + -6)). Find o, given that 0 - o - 15/2*o**2 - 33/2*o**4 - 9/2*o**5 - 37/2*o**z = 0.
-2, -1, -1/3, 0
Let x(i) be the third derivative of -i**8/3360 + i**7/1260 + i**4/12 + 2*i**2. Let n(p) be the second derivative of x(p). Factor n(u).
-2*u**2*(u - 1)
Let m = 8 - 6. Let b = -7 - -9. What is i in m - i + i - b*i**2 = 0?
-1, 1
Let i(c) = 7*c**4 - 28*c**3 + 32*c**2 + 64*c. Let z(p) = -8*p**4 + 28*p**3 - 32*p**2 - 64*p. Let a(m) = 4*i(m) + 3*z(m). Factor a(o).
4*o*(o - 4)**2*(o + 1)
Suppose 2/9*s**5 - 2/9*s**3 + 0*s**4 + 0 + 0*s**2 + 0*s = 0. Calculate s.
-1, 0, 1
Let j(w) be the third derivative of -3*w**7/350 + w**6/25 + 3*w**5/100 + 4*w**2. Suppose j(d) = 0. Calculate d.
-1/3, 0, 3
Let s(p) be the third derivative of 0*p + 0 - 8*p**2 + 0*p**3 - 1/30*p**4 + 1/50*p**5 - 1/300*p**6. Determine n, given that s(n) = 0.
0, 1, 2
What is i in -i + 3*i - i - i**2 + 2*i = 0?
0, 3
Suppose -22 + 7 = -5*x. Let p(d) be the third derivative of -d**2 + 0 + 1/60*d**5 + 0*d - 1/24*d**4 + 1/18*d**x - 1/360*d**6. Let p(j) = 0. Calculate j.
1
Let o(t) be the first derivative of -4*t + 2/3*t**3 - t**2 - 8. Factor o