that g(u) = 0.
-2, -1, 1
Let r(w) be the third derivative of w**6/20 + 17*w**5/40 - w**4 - 5*w**3/4 - w**2 - 17. What is y in r(y) = 0?
-5, -1/4, 1
Suppose t + 2*t - 15 = 0. Let l = 4/13 - -6/65. Find o such that 2/5*o + l*o**3 - 6/5*o**4 - 4/5*o**t + 6/5*o**2 + 0 = 0.
-1, -1/2, 0, 1
Suppose 3*y = -5*a + 12, -12 = -3*a - 3*y + 6*y. Find f such that 24/7*f - 16/7 + 2/7*f**a - 12/7*f**2 = 0.
2
Let -16/3*l**3 + 16/3*l - 8/3*l**2 - 4/3 + 4*l**4 = 0. Calculate l.
-1, 1/3, 1
Let j(k) be the third derivative of k**5/135 - 7*k**4/108 + k**3/9 - 16*k**2. Solve j(o) = 0 for o.
1/2, 3
Determine f so that 0*f**2 - 2/7*f**4 + 2/7*f**5 + 0 + 0*f + 0*f**3 = 0.
0, 1
Let j(x) be the first derivative of x**4 + 12/5*x**5 + 5/6*x**6 - 10/3*x**3 - 9/2*x**2 + 4 - 2*x. Factor j(q).
(q - 1)*(q + 1)**3*(5*q + 2)
Let m(n) be the third derivative of n**8/672 + 3*n**7/560 + n**6/160 + n**5/480 - 37*n**2. Solve m(v) = 0 for v.
-1, -1/4, 0
Factor -q**2 - 289 + q + 289 - 2*q**2.
-q*(3*q - 1)
Let z(h) = -2*h**4 + h**2 + 1. Let r(d) = 21*d**2 - 1 + 3 - 3*d**4 - 20*d**2. Let l(p) = -3*r(p) + 5*z(p). Factor l(c).
-(c - 1)**2*(c + 1)**2
Let s be -1 - (0 + -1)/(8 - 7). Let k(c) be the second derivative of 0 + 0*c**2 + 2*c - 2/15*c**4 - 7/25*c**6 - 12/25*c**5 + s*c**3 + 7/15*c**7. Factor k(j).
2*j**2*(j - 1)*(7*j + 2)**2/5
Let g be (-4)/3*3/(-2). Let a be 0 + 1 + -4 + 3. Determine j so that -j**5 + j**4 - g*j**4 + a*j**4 = 0.
-1, 0
Let k(j) be the third derivative of -j**6/180 + j**5/30 + j**3/6 + 2*j**2. Let r(z) be the first derivative of k(z). Let r(c) = 0. Calculate c.
0, 2
Let a(w) be the third derivative of w**6/660 - w**5/55 + 3*w**4/44 - 3*w**2. Factor a(x).
2*x*(x - 3)**2/11
Let k(w) be the second derivative of 3*w**5/40 + w**4/4 + w**3/4 + 2*w. Factor k(v).
3*v*(v + 1)**2/2
Let p(h) be the first derivative of h**5/20 - h**3/6 - 5*h + 5. Let a(q) be the first derivative of p(q). Factor a(u).
u*(u - 1)*(u + 1)
Let j = -2/175 - -181/525. Factor 1/3*w**3 + 0*w + j*w**5 + 0*w**2 - 2/3*w**4 + 0.
w**3*(w - 1)**2/3
Solve 6 - 9*k**2 + 6*k**2 - 15*k + 4 + 8*k**2 = 0 for k.
1, 2
Let z(k) be the first derivative of -k**6/240 + k**5/80 - k**3/24 + k**2/2 + 2. Let m(d) be the second derivative of z(d). Factor m(u).
-(u - 1)**2*(2*u + 1)/4
Let t be 3*-1*(-12)/9. Let j(i) be the second derivative of -1/4*i**2 + i - 1/12*i**3 + 1/40*i**5 + 1/24*i**t + 0. Suppose j(f) = 0. Calculate f.
-1, 1
Let p(c) be the first derivative of -1/60*c**5 + 0*c**3 + 0*c + 1 + 1/24*c**4 - c**2. Let h(v) be the second derivative of p(v). Find i, given that h(i) = 0.
0, 1
Let f(a) be the first derivative of -a**6/6 + 2*a**5/5 - a**4/4 + 3. Let f(r) = 0. Calculate r.
0, 1
Determine k so that 2/17*k**2 + 6/17 - 8/17*k = 0.
1, 3
Suppose 5*t = -w - w + 1, 4*t + 2 = -3*w. Let r be (-1)/w*(-20)/(-55). Find g, given that -2/11 + 0*g + r*g**2 = 0.
-1, 1
Let o be (-8)/(-336)*12 - 12/(-7). Let 2/5*g**o + 0 + 4/5*g = 0. What is g?
-2, 0
Let d(v) be the first derivative of -v**6/3 + 4*v**5/15 + 2*v**4/3 - 4*v**3/9 - v**2/3 - 4. Find t such that d(t) = 0.
-1, -1/3, 0, 1
Let o be ((-3)/2)/(27/(-12)). Suppose 4*j - 16 = 4*d, -4*d = 14*j - 15*j + 4. Factor d + 0*g - 2/3*g**2 + 2/3*g**3 + o*g**4 - 2/3*g**5.
-2*g**2*(g - 1)**2*(g + 1)/3
Suppose -3*v = 5*p - 22, -5*p + 4*v - 8 = -p. Factor -o**2 - o**2 - o + 4*o**p + 3*o.
2*o*(o + 1)
Let z(w) be the second derivative of w**6/70 - 3*w**5/70 + w**4/28 - 14*w. Find t, given that z(t) = 0.
0, 1
Let o = 34 - 30. Let d**2 + 0 + 0*d**3 + 1/2*d - 1/2*d**5 - d**o = 0. What is d?
-1, 0, 1
Let m = 21 + -13. Let 10*v**3 - 16*v**3 + 4*v**5 + 28*v**4 + 64*v + 82*v**3 + 100*v**2 + 8 + m = 0. What is v?
-2, -1
Let n(f) = f**3 - 6*f**2 + 5*f + 2. Let r be n(5). Suppose 0*i - 20 = -5*i. Factor -3*z**2 + i*z**2 + z**2 - r*z.
2*z*(z - 1)
Let q(c) be the third derivative of c**5/330 + 5*c**4/132 + 4*c**3/33 - 13*c**2. Find p such that q(p) = 0.
-4, -1
Let d(z) = z**3 - z + 1. Let v(f) = -4*f**3 + 11*f**2 - 8*f - 2. Let k(y) = 3*d(y) + v(y). Let r(i) = 12*i**2 - 12*i. Let a(b) = 3*k(b) - 2*r(b). Factor a(u).
-3*(u - 1)**3
Let u(l) be the first derivative of l**9/1008 - l**8/140 + l**7/56 - l**6/60 + 4*l**3/3 + 6. Let q(o) be the third derivative of u(o). Let q(t) = 0. What is t?
0, 1, 2
Let s(h) be the first derivative of 2*h**3/45 + 2*h**2/15 + 2*h/15 - 1. Factor s(q).
2*(q + 1)**2/15
Let i(l) be the first derivative of l**5/10 + l**4/4 - l**3/2 - 18. Factor i(a).
a**2*(a - 1)*(a + 3)/2
Let -45/2*d + 33/2*d**3 + 3*d**4 - 27/2 + 33/2*d**2 = 0. Calculate d.
-3, -1/2, 1
Suppose -54 + 138 = 14*a. Determine p so that -a*p**2 + p - 25/4*p**4 + 0 + 45/4*p**3 = 0.
0, 2/5, 1
Let y = 3967/4620 - 1/660. Determine b, given that y*b - 2/7*b**2 + 0 = 0.
0, 3
Suppose -4 = -4*v + 8. Let x = -15/4 + 9/2. Let -9/4*a**2 - x*a**5 - 11/4*a**4 - 15/4*a**v + 0 - 1/2*a = 0. Calculate a.
-1, -2/3, 0
Let d = -1/9 + 4/9. Factor -1/3*o**2 + d*o + 0.
-o*(o - 1)/3
Let l = -156595063/8901060 + -1/635790. Let o = 93/35 - l. Let -27/4*x**2 - 81/4 - o*x - 3/4*x**3 = 0. Calculate x.
-3
Let l(r) be the first derivative of -r**5/4 + 5*r**3/12 + 2. Factor l(y).
-5*y**2*(y - 1)*(y + 1)/4
Let x(v) be the third derivative of -v**7/630 - v**6/120 + v**5/180 + v**4/24 + 25*v**2. Let x(o) = 0. What is o?
-3, -1, 0, 1
Let d(i) = -i**3 + 5*i**2 + 4*i - 4. Let v(p) = -p**3 + 4*p**2 + 3*p - 3. Let n(o) = -3*d(o) + 4*v(o). Find g, given that n(g) = 0.
0, 1
Let f(i) = 9*i + 15. Let z be f(-6). Let h(s) = -4*s**3 - s**2 - 2*s. Let v(u) = -24*u**3 - 6*u**2 - 13*u. Let n(t) = z*h(t) + 6*v(t). What is o in n(o) = 0?
-1/4, 0
Let p(r) be the second derivative of -r**5/15 + 2*r**4/3 - 2*r**3 + 8*r**2/3 - r. Factor p(v).
-4*(v - 4)*(v - 1)**2/3
Let q be -1*(1 - (6 - 2)). Let r(i) = -i**3 + 2*i**2 + 2*i - 2. Let l be r(2). Let -u**l - 2*u - 2*u + q*u = 0. Calculate u.
-1, 0
Factor -2/5*c**2 - 8/5 + 8/5*c.
-2*(c - 2)**2/5
Let f(o) = 10*o**2 + 2*o - 14. Let b(n) = -n**2 - n + 1. Let r(c) = 6*b(c) + f(c). Factor r(i).
4*(i - 2)*(i + 1)
Suppose n + 58 = -4*v - n, 3*n - 25 = v. Let g = 20 + v. Factor 0*m - 2/3*m**3 + 0 + 2/3*m**5 - 2/3*m**2 + 2/3*m**g.
2*m**2*(m - 1)*(m + 1)**2/3
What is h in h**3 - 14*h**2 - 20*h**2 + 32*h**2 = 0?
0, 2
Suppose 3*l**5 + 1193*l**2 - 3*l**3 - 1193*l**2 = 0. Calculate l.
-1, 0, 1
Let a be (392/(-18))/(-4) - (-1 - -2). What is u in -50/9*u**5 - 16/9 + 142/9*u**3 + 20/9*u**2 - a*u**4 - 56/9*u = 0?
-2, -2/5, 1
Let y = -12 + 9. Let o be (-1)/(y/(-6)) - -16. Let w(h) = -2*h**2 + 2. Let b(c) = c**2 + c. Let d(i) = o*b(i) + 2*w(i). Factor d(s).
2*(s + 1)*(5*s + 2)
Let w be 1/((-2)/(-5)) - 2. Let s(r) = 4*r**3 - 2*r**2 + 2*r - 1. Let h be s(1). Find v such that 0 - 3*v**h + w*v + 3/4*v**2 + 7/4*v**4 = 0.
-2/7, 0, 1
Let l be -1*(1 - 2)*1. Suppose 3 + l = d. Factor 2 + d*f - 3*f + 3*f + 2*f**2.
2*(f + 1)**2
Let p(t) be the third derivative of t**7/42 - t**5/12 - 7*t**2. Find r such that p(r) = 0.
-1, 0, 1
Suppose -5 = 2*m - 3*m. Suppose 0 = -5*a + 15 - m. Factor -1/5*r**a + 2/5*r - 1/5.
-(r - 1)**2/5
Factor 0*d - 3*d**3 + 0 + 3/2*d**5 + 0*d**2 + 3/2*d**4.
3*d**3*(d - 1)*(d + 2)/2
Let j(h) be the first derivative of 5/2*h**4 - 1/3*h**3 + 3 - 2*h**2 + 7/15*h**6 - 19/10*h**5 + 2*h. Let l(r) be the first derivative of j(r). Solve l(y) = 0.
-2/7, 1
Let z = -17 - -17. Suppose 0*h + h - 4 = z. Factor 1/3*b**3 + 0*b + 0 - 1/3*b**h + 2/3*b**2.
-b**2*(b - 2)*(b + 1)/3
Let h(v) = -v + 2. Let w be h(-6). Let p = -6 + w. Factor 5*r - 5*r**2 + r + 11*r**2 + 2 + p*r**3.
2*(r + 1)**3
Let k(w) be the third derivative of 0 - 2/735*w**7 + 1/210*w**6 - 2/21*w**3 - 5*w**2 - 1/84*w**4 - 1/1176*w**8 + 2/105*w**5 + 0*w. Solve k(f) = 0 for f.
-2, -1, 1
Let n - 1/3*n**2 - 2/3 = 0. Calculate n.
1, 2
Let r be ((-6)/(-9))/(195/90). Factor 4/13*a**3 - 2/13*a**4 - r*a + 2/13 + 0*a**2.
-2*(a - 1)**3*(a + 1)/13
What is k in -3*k**3 + 3*k + 3/2*k**4 + 0 - 3/2*k**2 = 0?
-1, 0, 1, 2
Let g be 6/(-10) - 378/(-280). Factor -1/2 - 7/4*y**3 - g*y + 3*y**2.
-(y - 1)**2*(7*y + 2)/4
Let d(z) be the third derivative of -1/180*z**5 + 3*z**2 + 0*z - 1/180*z**6 + 0*z**3 + 0 + 0*z**4 - 1/630*z**7. Factor d(x).
-x**2*(x + 1)**2/3
Let b = -290 - -1161/4. Determine c so that -1/2*c**2 + 1/2*c**4 + 0*c - b*c**5 + 1/4*c**3 + 0 = 0.
-1, 0, 1, 2
Let z(m) be the second derivative of -m**9/30