6/180 + 2*u**3/3 + 3. Let w(j) be the third derivative of l(j). Solve w(v) = 0.
0
What is y in 2*y**2 + 2*y**4 + 18*y - 2 + 1 - 6*y**3 - 12*y - 3 = 0?
-1, 1, 2
Let g be 3/(-15)*30/(-63)*3. What is u in g*u**4 + 2/7*u**3 + 0 - 4/7*u**2 + 0*u = 0?
-2, 0, 1
Factor -16/3 + 2/3*u**2 - 4/3*u.
2*(u - 4)*(u + 2)/3
Let x(m) be the third derivative of -m**8/420 - m**7/105 + m**6/75 + 19*m**5/150 + 4*m**4/15 + 4*m**3/15 - 4*m**2. Find w, given that x(w) = 0.
-2, -1, -1/2, 2
Let q(d) be the third derivative of d**6/360 - d**5/60 - d**4/12 + 4*d**3/9 + 17*d**2. Find m such that q(m) = 0.
-2, 1, 4
Let g(v) be the first derivative of -10*v**3/3 - 2*v**2 + 10. Factor g(q).
-2*q*(5*q + 2)
Determine k so that 2*k + 39/4*k**2 - 63/4*k**3 - 1 = 0.
-1/3, 2/7, 2/3
Let w(v) = 57*v**4 + 81*v**3 - 201*v**2 + 129*v - 33. Let r(j) = 7*j**4 + 10*j**3 - 25*j**2 + 16*j - 4. Let a(c) = 33*r(c) - 4*w(c). Factor a(b).
3*b*(b - 1)**2*(b + 4)
Let d = 16 + -11. Suppose 0 = q - 2*q - 3, 0 = -d*n + 2*q + 16. Solve -4/5*p**2 + 4/5*p**4 + 0 + 0*p + n*p**3 - 2*p**5 = 0.
-1, 0, 2/5, 1
Let r = -22/3 - -8. Suppose -l - 2*d = -0*l + 6, -2*d = -2*l + 12. Factor r + 1/3*h**l - h.
(h - 2)*(h - 1)/3
Let d(l) = -7*l**3 + 40*l**2 - 80*l + 2. Let z(a) = -29*a**3 + 160*a**2 - 320*a + 9. Let t(h) = 9*d(h) - 2*z(h). Factor t(k).
-5*k*(k - 4)**2
Factor 4/3*l**2 + 2/3*l**3 - 2*l + 0.
2*l*(l - 1)*(l + 3)/3
Let z = 9 + -9. Let i(c) be the third derivative of 1/30*c**5 + 0*c - 1/12*c**4 + 2*c**2 + z*c**3 + 0. Solve i(x) = 0.
0, 1
Let t(i) be the third derivative of 0 + 6*i**2 - 1/24*i**4 - 1/120*i**6 + 0*i + 1/30*i**5 + 0*i**3. Let t(y) = 0. Calculate y.
0, 1
Let v(i) be the second derivative of i**6/150 - i**5/50 - i**4/15 + 4*i**3/15 - 16*i. Factor v(b).
b*(b - 2)**2*(b + 2)/5
Let r(f) be the third derivative of -f**5/66 - 7*f**4/132 - 2*f**3/33 + 11*f**2. Factor r(q).
-2*(q + 1)*(5*q + 2)/11
Let 0 + 2/5*q + 2/5*q**3 - 4/5*q**2 = 0. What is q?
0, 1
Let d = 24 + -19. Let f(p) be the second derivative of 0*p**3 - 1/135*p**6 + p + 0 + 0*p**2 + 0*p**4 - 1/90*p**d. Factor f(a).
-2*a**3*(a + 1)/9
Let w(l) = -l**4 - l**2 - l. Let q(f) = -10*f**4 + 6*f**3 - 6*f**2 - 10*f. Let v(p) = -q(p) + 12*w(p). Factor v(m).
-2*m*(m + 1)**3
Let h be 14/(-35) + 6/(-10). Let c be (h - 0)*0/(-6). Suppose 2*l**3 + l + c*l - 3*l**3 = 0. What is l?
-1, 0, 1
Let b(w) be the third derivative of -w**7/2520 + w**5/360 - w**3/2 + 2*w**2. Let p(j) be the first derivative of b(j). Solve p(l) = 0.
-1, 0, 1
Factor 14/11*u + 0 + 16/11*u**2 + 2/11*u**3.
2*u*(u + 1)*(u + 7)/11
Suppose -g = 2, 3*w = 5*w - g - 66. Let v be ((-1)/(-4))/(14/w). Factor 2/7 + v*f + 2/7*f**2.
2*(f + 1)**2/7
Let i(v) be the third derivative of -v**5/60 - v**4/48 + v**3/12 - 8*v**2. Solve i(t) = 0 for t.
-1, 1/2
Suppose -7 = -4*j + 3*s + 2, 0 = j + 2*s + 6. Suppose k - 6 - 8 = j. Suppose -9*z**2 - 4*z**4 + 3*z**2 - 6*z + k*z**3 + 4 - 2*z**4 = 0. What is z?
-2/3, 1
Let v be 0/((-72)/(-6)) - (-12)/5. Factor 4/5*g**2 + 8/5 - v*g.
4*(g - 2)*(g - 1)/5
Let -26*v**5 + 36*v + 19*v**4 + 72 - 152*v**2 + 11*v**5 - 112*v**3 - 3*v**4 + 27*v**5 = 0. Calculate v.
-3, -1, 2/3, 3
Let b(g) be the third derivative of g**2 + 1/120*g**6 + 0*g + 1/36*g**4 + 0 + 0*g**3 + 1/36*g**5. Determine c so that b(c) = 0.
-1, -2/3, 0
Let j(r) be the second derivative of 1/6*r**4 - 2*r - 2/3*r**3 + r**2 + 0. Suppose j(y) = 0. Calculate y.
1
Factor -6/11*c + 6/11*c**2 - 2/11*c**3 + 2/11.
-2*(c - 1)**3/11
Let s(a) be the third derivative of a**8/672 + a**7/1260 - a**6/360 + 8*a**2. Suppose s(p) = 0. Calculate p.
-1, 0, 2/3
Let t(v) = -3*v + 2*v + 5 - 4. Let y be t(-4). Find g, given that -2*g + 2*g**3 - 5*g**4 + y*g**4 - 2*g**2 + 2*g**4 = 0.
-1, 0, 1
Let y(q) = -q**5 + q**4 + q**2 + 1. Let f(t) = 10*t**5 - 8*t**4 - t**3 - 10*t**2 - 9. Let n(m) = 2*f(m) + 18*y(m). Factor n(h).
2*h**2*(h - 1)*(h + 1)**2
Let -5/2*q**2 + 0 + 1/2*q**3 + 2*q = 0. Calculate q.
0, 1, 4
Let b(f) be the third derivative of -f**6/120 - f**5/20 + f**4/24 + f**3/2 - 11*f**2. Factor b(s).
-(s - 1)*(s + 1)*(s + 3)
Let z(t) be the first derivative of t**4/2 - 2*t**3/3 - 5*t**2 - 6*t - 17. Let z(q) = 0. Calculate q.
-1, 3
What is q in 4*q + 8*q + 5*q**2 - 22*q - 15 = 0?
-1, 3
Let l(s) be the first derivative of s**3/24 + 7*s**2/4 + 49*s/2 + 18. Factor l(i).
(i + 14)**2/8
Suppose -2*r - 3*r = -5*m + 20, 5 = 5*r. Let z = -5 - -10. Let 18*t**m - t**3 - 2*t**3 - 6*t**z - 9*t**4 = 0. Calculate t.
-1/4, 0, 1
Suppose 0 = 3*k - 6, -7*k = -3*l - 5*k - 4. Let c(a) be the second derivative of 1/6*a**4 - 4*a + 0 + 0*a**2 + l*a**3. Factor c(m).
2*m**2
Suppose -416 = -10*z + 2*z. Let s = -207/4 + z. Factor -1/4*o + 1/4*o**4 + 0 + 1/4*o**3 - s*o**2.
o*(o - 1)*(o + 1)**2/4
Let f = 296/255 - 32/51. Determine s so that -2/3*s**3 + 0 - 2/15*s - 4/15*s**4 - f*s**2 = 0.
-1, -1/2, 0
Let h(x) = 5*x**4 + 40*x**3 - 72*x**2 + 43*x - 3. Let s(j) = -j**4 - 10*j**3 + 18*j**2 - 11*j + 1. Let y(m) = -6*h(m) - 26*s(m). Factor y(l).
-4*(l - 2)*(l - 1)**3
Let i(c) be the third derivative of -c**8/3360 + c**6/120 - c**5/30 - c**4/4 + 6*c**2. Let a(p) be the second derivative of i(p). Solve a(w) = 0.
-2, 1
Let 11/3*u - 121/6 - 1/6*u**2 = 0. Calculate u.
11
Solve 5*h - 8*h + 4*h + 6 - h**2 = 0 for h.
-2, 3
Let 32*a - 5*a**2 + 4*a**2 - 28 + 0*a**2 - 3*a**2 = 0. What is a?
1, 7
Let s(y) be the third derivative of -1/12*y**4 - y**2 + 1/30*y**5 + 0*y + 0 - 2/3*y**3. Let s(b) = 0. Calculate b.
-1, 2
Suppose -3 = 3*h - 12. Let g(m) be the third derivative of 0 + 0*m + 1/60*m**6 - 1/15*m**5 - 2*m**2 + 0*m**h + 1/12*m**4. Solve g(t) = 0.
0, 1
Let w(q) = 5*q - 8. Let f be w(4). Let 0*c**3 + 4 + 7*c**3 + 4 - f*c - 3*c**3 = 0. Calculate c.
-2, 1
Let j(l) be the first derivative of l**4/10 - 2*l**3/15 - 4*l**2/5 + 8*l/5 + 8. Factor j(f).
2*(f - 2)*(f - 1)*(f + 2)/5
Suppose -10 = 13*x - 18*x. Factor 4/5 + 4/5*t + 1/5*t**x.
(t + 2)**2/5
Let d(s) = -s**3 + s**2 - s + 1. Let j(n) = -9*n**3 + 8*n**2 - 5*n + 10. Let u(y) = -24*d(y) + 3*j(y). Factor u(r).
-3*(r - 2)*(r + 1)**2
Let i = -11 + 15. Factor -4*n**3 - 3*n**5 + 4*n**3 - 2*n + i*n**3 + n**5.
-2*n*(n - 1)**2*(n + 1)**2
Factor 3/4*h**2 + 0*h - 3/4.
3*(h - 1)*(h + 1)/4
Let h be 5/20 - 26/8. Let s be (-3)/1*3/h. Factor -2*u**3 - 6*u**4 - u**3 - u**s + 0*u**3.
-2*u**3*(3*u + 2)
Factor -50*z**2 + 55*z**2 + 0*z**4 - 5*z**4.
-5*z**2*(z - 1)*(z + 1)
Let m(v) be the second derivative of 2*v**6/15 + 2*v**5/5 - v**4/3 - 4*v**3/3 + 36*v. Determine u, given that m(u) = 0.
-2, -1, 0, 1
Let c = -5 - -8. Let a = 4 - c. Let s(j) = -j**2 - 1. Let x(k) = 4*k**2 + 6*k + 2. Let p(d) = a*x(d) + 6*s(d). Find t such that p(t) = 0.
1, 2
Let o(w) be the first derivative of 81*w**6/4 - 189*w**5/5 + 39*w**4/8 + 14*w**3 + 3*w**2 - 7. Factor o(c).
3*c*(c - 1)**2*(9*c + 2)**2/2
Let b = -689/7 + 99. Factor 2/7*g + 0*g**3 + b*g**4 + 0 - 4/7*g**2 - 2/7*g**5.
-2*g*(g - 1)**3*(g + 1)/7
Let b(g) be the second derivative of 0 + 21/10*g**5 + g**4 - 1/5*g**6 - 1/2*g**7 - 7/2*g**3 - 3*g**2 + 4*g. Solve b(q) = 0.
-1, -2/7, 1
Let l(o) be the third derivative of -2*o**7/105 - o**6/6 - 3*o**5/5 - 7*o**4/6 - 4*o**3/3 + 3*o**2 + 4*o. Let l(u) = 0. Calculate u.
-2, -1
Factor 0 + 4/9*v**2 + 0*v.
4*v**2/9
Suppose -5*b - x = -0*b - 12, x = -4*b + 10. Suppose -4/11 - 2/11*k**b - 6/11*k = 0. Calculate k.
-2, -1
Let l(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 3/40*k**5 + 2*k - 1/8*k**4. Suppose l(j) = 0. Calculate j.
-1, 0
Suppose 5*k - 7*v - 13 = -4*v, 2*k + v = 3. Factor 1/2*a**k - 1/2 + 1/2*a**3 - 1/2*a.
(a - 1)*(a + 1)**2/2
Let j = -9/8 + 61/40. Factor -2/5*c + 0 + 0*c**2 + j*c**3.
2*c*(c - 1)*(c + 1)/5
Let b(g) be the first derivative of 4*g**3/3 - 8*g**2 - 20*g - 14. Factor b(x).
4*(x - 5)*(x + 1)
Let g(a) be the second derivative of a**4/4 - a. Let l be g(1). Factor -5*u**2 - 5*u**l + 3*u**2 - 2*u**5 - u**3 - 6*u**4.
-2*u**2*(u + 1)**3
Let x = -16/15 + 11/10. Let v(u) be the second derivative of 1/80*u**5 + u + x*u**6 - 1/4*u**4 + 1/4*u**2 + 0 + 5/24*u**3. Suppose v(b) = 0. What is b?
-2, -1/4, 1
Suppose -w + 4 = -0*w. Suppose -w*z = -6*d + 4*d + 2, -2*z = -4*d + 10. Factor -f**3 + f**d - f**2 - f**3.
-f**2*(f + 1)
Let v(q) be the first derivative of -2/9*q - 2 + 2/27*q**3 + 0*q**2. Factor v(o).
2*(o - 1)*(o + 1)/9
Suppose 2*x**2 + 2*x**2 - 6*x**2 + 0*x**2 = 0. 