ative of 1/48*u**4 + 1/120*u**5 + 0 + 0*u + d*u**3 + 3*u**2. Solve q(t) = 0.
-1, 0
What is l in 18*l**3 - 27/7*l**4 - 36*l - 39/7*l**2 - 108/7 = 0?
-2/3, 3
Let j(h) be the third derivative of h**5/135 + 7*h**4/27 + 98*h**3/27 + 5*h**2. Factor j(f).
4*(f + 7)**2/9
Let d = -61/3 - -21. Let f(t) be the first derivative of -2/9*t**3 - 1 + 2/3*t**2 - d*t. Factor f(r).
-2*(r - 1)**2/3
Let k(i) = -5*i**3 - 7*i**2 - 9*i - 5. Let n be ((-80)/(-60))/((-4)/(-6)). Let m(l) = 21*l**3 + 27*l**2 + 36*l + 21. Let v(y) = n*m(y) + 9*k(y). Factor v(w).
-3*(w + 1)**3
Let l(o) be the third derivative of o**5/60 - o**4/24 - 11*o**2. Factor l(w).
w*(w - 1)
Let v(j) = -2*j**3 - 13*j**2 - 15*j - 6. Let g(r) = -r**3 + r**2. Let o = -10 - -10. Suppose 1 = h - o*h. Let f(c) = h*g(c) + v(c). Factor f(x).
-3*(x + 1)**2*(x + 2)
Let q(k) be the second derivative of k**7/350 + 7*k**6/1800 - 7*k**5/600 - k**4/60 - k**3/3 - 5*k. Let b(a) be the second derivative of q(a). Factor b(o).
(o + 1)*(3*o - 2)*(4*o + 1)/5
Factor 4*d**4 + 4*d**4 - 9*d**4 + 5*d**4 - 4*d**5.
-4*d**4*(d - 1)
Let c = 4/15 + 152/105. Factor 39/7*m**2 - 12/7 - c*m - 15/7*m**3.
-3*(m - 2)*(m - 1)*(5*m + 2)/7
Let h(y) = -y**3 + 9*y**2 - 9*y + 10. Suppose 0*l = -l + 8. Let o be h(l). Find r, given that 10/3*r - 2/3 - 8/3*r**o = 0.
1/4, 1
Let l be (-4322)/20*(5 - 3). Let h = l - -434. Determine a so that -h*a - a**2 + 9/5*a**3 - 2/5 + 7/5*a**4 = 0.
-1, -2/7, 1
Solve -21 - 1641*y**2 + 30*y + 1636*y**2 + 56 = 0 for y.
-1, 7
Let v = 29 + -41. Let z be 3 - (1 - v/8). Factor 0*k**2 + 0 - 1/4*k**4 - z*k**3 + 0*k.
-k**3*(k + 2)/4
Solve -12*v - 6*v**4 - 6*v**3 + 13*v**3 + 8*v**3 + 10*v**2 + v**3 = 0 for v.
-1, 0, 2/3, 3
Suppose r = 3*r + 4, r = 3*b - 20. Let q be (-4 - b/(-3))/(-1). Factor 0*m + 0 - 2*m**q + 2/3*m**3.
2*m**2*(m - 3)/3
Suppose -16 = -4*h + 16. Let n = 11 - h. Factor 0*w**2 + 4 - n - w**2.
-(w - 1)*(w + 1)
Let f = 891 + -891. Determine h, given that f*h**2 - 2/5*h**3 + 1/5 + 2/5*h - 1/5*h**4 = 0.
-1, 1
Let l(v) = v**5 - v**3 + v**2 + 1. Let y(c) = 4*c**5 + 54*c**4 + 48*c**3 - 20*c**2 - 4*c - 14. Let b(x) = 28*l(x) + 2*y(x). Let b(u) = 0. Calculate u.
-2, -1, -1/3, 0, 1/3
Let i be (159/6)/((-4)/(-8)). Determine s, given that 6*s - 38*s**4 - 8*s**2 + i*s**2 + 72*s**3 - 10*s**4 = 0.
-1/4, 0, 2
Let p(s) be the first derivative of -s**8/1008 + s**6/90 + s**5/90 - s**4/24 - s**3/9 + 3*s**2/2 + 2. Let w(f) be the second derivative of p(f). Factor w(n).
-(n - 2)*(n - 1)*(n + 1)**3/3
Let w be (558/(-187))/3 - -1. Let v = 1503/1309 - w. What is p in 0*p + 2/7*p**3 - 6/7*p**2 + v = 0?
-1, 2
Let t(i) be the second derivative of i**6/120 - i**5/20 + 2*i**3/3 - 2*i**2 - 3*i. Let f(y) be the first derivative of t(y). Determine r so that f(r) = 0.
-1, 2
Let k(w) be the second derivative of w**6/840 + w**5/420 - w**4/84 + w**2 + 3*w. Let i(g) be the first derivative of k(g). Find n such that i(n) = 0.
-2, 0, 1
Let -4/5 - u**2 + 1/5*u**3 + 8/5*u = 0. What is u?
1, 2
Let i(h) be the second derivative of -5*h + 1/84*h**7 - 1/8*h**4 + 0 + 1/20*h**6 + 1/40*h**5 + 0*h**2 - 1/6*h**3. Factor i(r).
r*(r - 1)*(r + 1)**2*(r + 2)/2
Let w = 191/5 + -38. Factor -w*p**2 - 1/5 + 2/5*p.
-(p - 1)**2/5
Let l(o) = -o + 12. Let g be l(9). Solve 47*i**2 - i**3 - 8 + 3*i - g*i**3 + i - 39*i**2 = 0 for i.
-1, 1, 2
Suppose 0*d = 11*d. Find y, given that 2/3*y**4 + 2/3*y**2 + d*y + 0 + 4/3*y**3 = 0.
-1, 0
Let u(z) = -3*z**2 - 2*z. Let i(r) be the second derivative of -r**4/6 - r**3/3 - 2*r. Let g(p) = 5*i(p) - 4*u(p). Determine l, given that g(l) = 0.
0, 1
Let c be (3 - 3)/((-2)/(-1)). Suppose c = f - 3 - 0. What is s in -2*s**f + 3*s + 2*s**4 - 5*s - 2*s**2 + 4*s**3 = 0?
-1, 0, 1
Suppose 2*k = 2 + 2. Factor -2*l**k - 2*l**3 + 2*l**2 + 4*l**2 - 2*l**4.
-2*l**2*(l - 1)*(l + 2)
Find z, given that 1/2*z**2 + 0*z - 2 = 0.
-2, 2
Let x = -10/23 + 142/115. Determine m, given that 2/5*m**2 - x*m + 0 = 0.
0, 2
Let o(r) be the third derivative of -r**8/60480 - r**7/15120 - r**5/30 + 4*r**2. Let z(n) be the third derivative of o(n). Factor z(i).
-i*(i + 1)/3
Suppose -3*i + 7 = 4*i. Let f(r) be the first derivative of 2/15*r**5 + 0*r - 1/18*r**6 - i + 0*r**4 - 2/9*r**3 + 1/6*r**2. Factor f(k).
-k*(k - 1)**3*(k + 1)/3
Find m such that 1/3*m**5 + 2/3*m**3 - 1/3 + m**4 - 2/3*m**2 - m = 0.
-1, 1
Let m be ((-4)/(25 - 1))/(65/(-52)). Solve 2/15*s**2 - 2/15 + 2/15*s**3 - m*s = 0.
-1, 1
Let w(j) be the third derivative of -1/96*j**4 + 0*j**3 + 0*j - j**2 + 0 + 1/240*j**5. Factor w(h).
h*(h - 1)/4
Find a such that 8/3 + 14/3*a - 2/3*a**3 + 4/3*a**2 = 0.
-1, 4
Let w(f) be the second derivative of -f**4/6 - 8*f**3/3 - 7*f**2 - 4*f. Factor w(s).
-2*(s + 1)*(s + 7)
Let k = 32 + -61/2. Let x(n) be the first derivative of 9/10*n**5 + 0*n**2 + 0*n - 2 + 2/3*n**3 + k*n**4. Suppose x(f) = 0. Calculate f.
-2/3, 0
Let i(w) be the second derivative of -121*w**4/6 + 44*w**3/3 - 4*w**2 + 31*w. Let i(b) = 0. What is b?
2/11
Let s(c) be the third derivative of 0 - 1/60*c**6 + 1/10*c**5 + 0*c + 2*c**2 - 1/6*c**4 + 0*c**3. What is v in s(v) = 0?
0, 1, 2
Let c(a) be the second derivative of a**6/20 + 3*a**5/10 - 5*a**4/8 - 28*a. Factor c(b).
3*b**2*(b - 1)*(b + 5)/2
Let b(l) be the first derivative of 2/7*l**2 + 0*l - 2/21*l**3 - 3. Solve b(d) = 0 for d.
0, 2
Let k be 360/198 + 2/11. Let j(m) be the third derivative of 1/36*m**4 + 0 + 0*m**3 + k*m**2 + 1/90*m**5 + 0*m. Determine y, given that j(y) = 0.
-1, 0
Let p(z) = -z**2 - 6*z + 4. Let k be 4*3*3/(-6). Let h be p(k). What is s in -2/3*s**h + 0*s**3 + 0*s + 0*s**2 - 2/3*s**5 + 0 = 0?
-1, 0
Let m be 0/(2 - 0 - 3). Let t(d) be the third derivative of m*d**3 + 2*d**2 + 0 + 1/105*d**7 + 1/45*d**5 - 1/36*d**6 + 0*d + 0*d**4. Factor t(x).
2*x**2*(x - 1)*(3*x - 2)/3
Let j(l) be the second derivative of l**5/4 - 145*l**4/12 + 560*l**3/3 - 490*l**2 - l - 10. Suppose j(v) = 0. What is v?
1, 14
Let t(h) be the first derivative of -1/4*h**4 + 3 - 1/6*h**2 + 1/15*h**5 + 0*h + 1/3*h**3. Factor t(m).
m*(m - 1)**3/3
Let a = -8 - -19. Let z(w) = 16*w**2 - 8*w - 40. Let n(p) = -p**3 + 49*p**2 - 25*p - 119. Let c(f) = a*z(f) - 4*n(f). Factor c(g).
4*(g - 3)**2*(g + 1)
Let h = 2 - 0. Factor 1/2*v**h + 0*v - 1/2*v**3 + 0.
-v**2*(v - 1)/2
Let c(g) be the second derivative of 0 - 1/54*g**4 - 1/9*g**3 - 3*g - 2/9*g**2. Factor c(y).
-2*(y + 1)*(y + 2)/9
Let z(r) = 2*r**4 - 8*r**3 - 7*r**2 - 3*r. Let n(d) = d**4 - 7*d**3 - 7*d**2 - 3*d. Let x(a) = -3*n(a) + 2*z(a). Factor x(m).
m*(m + 1)**2*(m + 3)
Let n = 11 + -6. Suppose -n*c**2 - 5/2*c - 1/2*c**5 - 5/2*c**4 - 5*c**3 - 1/2 = 0. What is c?
-1
Suppose -2*a - 4 = -8. Determine u so that 0 - 2/3*u + 2/3*u**a = 0.
0, 1
Let j(a) = 9*a + a**2 + 3*a**2 - 3 - 3*a**2 + 5. Let v be j(-9). Find q, given that 2*q**v + 6/5*q**3 - 2/5 - 6/5*q - 8/5*q**4 = 0.
-1, -1/4, 1
Let u = 7 + -7. Let x(w) be the first derivative of 0*w**4 + 0*w**5 + 2 + 0*w + u*w**3 + 1/3*w**6 + 0*w**2. Find v, given that x(v) = 0.
0
Let a(o) be the first derivative of o**8/1344 + o**7/420 + o**6/480 - o**2/2 - 2. Let z(n) be the second derivative of a(n). Factor z(w).
w**3*(w + 1)**2/4
Let n(t) be the first derivative of -4*t**5/5 + 8*t**3 - 16*t**2 + 12*t - 15. Factor n(l).
-4*(l - 1)**3*(l + 3)
Let i(y) be the second derivative of 0 + 1/6*y**2 - 1/12*y**4 + 3*y - 1/9*y**3. Let i(s) = 0. Calculate s.
-1, 1/3
Let c = 3347/7 - 477. Factor 14*b**4 + 0*b + c*b**2 + 8*b**3 + 0.
2*b**2*(7*b + 2)**2/7
Factor 61*k**2 - 29*k**2 - 20*k**3 - 32*k**2 - 120*k**4 - 175*k**5.
-5*k**3*(5*k + 2)*(7*k + 2)
Let m(h) be the third derivative of -h**6/120 - h**5/20 - h**4/12 - 21*h**2. Solve m(y) = 0.
-2, -1, 0
Let p(l) be the third derivative of -l**6/120 - l**5/15 - 5*l**4/24 - l**3/3 + 4*l**2. Let p(b) = 0. What is b?
-2, -1
Let y(h) be the third derivative of 2*h**2 + 0 + 1/60*h**5 - 1/24*h**4 + 1/120*h**6 + 0*h - 1/6*h**3. Factor y(n).
(n - 1)*(n + 1)**2
Let k(i) = i - 3. Let z be k(4). Factor -f - 2*f**3 + 0*f**4 - 6*f**2 + 5*f**4 + f**5 + 2*f**5 + z.
(f - 1)*(f + 1)**3*(3*f - 1)
Let n(j) be the first derivative of j**8/112 - j**7/70 - 3*j**6/40 + j**5/4 - j**4/4 + j**2 + 3. Let v(d) be the second derivative of n(d). Factor v(h).
3*h*(h - 1)**3*(h + 2)
Let j(u) be the third derivative of -u**8/20160 + u**7/2520 - u**5/20 - 3*u**2. Let r(n) be the third derivat