= 0.
0, 19
Factor -1/4*v**3 + 1/4*v + 0*v**2 + 0.
-v*(v - 1)*(v + 1)/4
Let g(r) be the third derivative of r**8/672 + r**7/140 + r**6/80 + r**5/120 + 47*r**2. Factor g(x).
x**2*(x + 1)**3/2
Let s = -230 + 220. Let j be (3 - (-12)/s) + -1. Solve 2/5*i**2 + 2/5*i - j = 0.
-2, 1
Let f(i) = 34*i + 456. Let u be f(-13). Let x(p) be the first derivative of -1/3*p**3 - 5*p**2 - u - 25*p. Let x(t) = 0. Calculate t.
-5
Let h be ((-1 - -3) + -2)/(-3). Let b(l) be the first derivative of h*l**2 - 1/2*l**4 + 2 + 0*l + 0*l**3. Determine g, given that b(g) = 0.
0
Find o such that 30*o**2 + 15*o**5 + 0 - 205/4*o**4 + 105/4*o**3 + 5*o = 0.
-1/3, -1/4, 0, 2
Let g(j) = j**3 + 19*j**2 + 4. Let a be g(-19). Factor -a + 3*q**2 + 6*q + 0*q**2 - 5*q**2.
-2*(q - 2)*(q - 1)
Let z(l) be the second derivative of l**4/6 - 37*l**3/3 - 57*l - 2. Factor z(p).
2*p*(p - 37)
Let v(g) be the first derivative of 5 + 27/4*g**2 + 0*g**3 - 1/60*g**6 - 3/4*g**4 + 1/5*g**5 - 9*g. Let o(h) be the first derivative of v(h). Factor o(f).
-(f - 3)**3*(f + 1)/2
Suppose 32*z**2 + 145*z**3 - 100*z**2 + 37*z**2 + 36*z**2 = 0. Calculate z.
-1/29, 0
Let m(y) be the second derivative of y**7/42 - 23*y**6/30 - 4*y - 1. Factor m(w).
w**4*(w - 23)
Let n = -592 - -595. Let h(t) be the third derivative of -3/260*t**6 + 0 + 8/195*t**5 + 6*t**2 + 0*t - 5/156*t**4 - 2/39*t**n. Find u such that h(u) = 0.
-2/9, 1
Suppose 5*n - 21 = l - 11, -2*l - n + 13 = 0. Find y, given that 40*y**l - 4*y**2 + y + 2 + 2*y**4 - 22*y**5 - 2*y**3 - 17*y**5 = 0.
-2, -1, 1
Let h = 2/1247 - -1239/4988. Let a(t) be the third derivative of -4*t**2 + 0*t - 1/24*t**4 - 1/120*t**5 + h*t**3 + 0. Factor a(x).
-(x - 1)*(x + 3)/2
Factor 2/3*m**3 + 560*m + 1568/3 + 38*m**2.
2*(m + 1)*(m + 28)**2/3
Let p(j) be the third derivative of -2*j**2 + 1/30*j**5 + 0 + 0*j - 1/3*j**3 - 1/120*j**6 + 1/24*j**4. Factor p(y).
-(y - 2)*(y - 1)*(y + 1)
Determine h, given that 48/7 + 3/7*h**2 + 24/7*h = 0.
-4
Let n(b) be the first derivative of -b**8/672 + b**7/280 - b**6/480 + 17*b**2/2 - 4. Let d(r) be the second derivative of n(r). Factor d(v).
-v**3*(v - 1)*(2*v - 1)/4
Let z(q) be the second derivative of -q**7/7 - 23*q**6/15 + 4*q**5/5 + 7*q - 2. Let z(s) = 0. What is s?
-8, 0, 1/3
Let v(r) be the first derivative of 6*r**5/5 - 75*r**4/4 + 57*r**3 + 399*r**2/2 + 147*r - 54. Let v(g) = 0. Calculate g.
-1, -1/2, 7
Let s(n) be the third derivative of 0 + 1/40*n**6 + 0*n**4 - 35*n**2 - 3/10*n**5 - n + 16*n**3. Factor s(w).
3*(w - 4)**2*(w + 2)
Let s(i) be the third derivative of -1/20*i**5 + 0*i + 5*i**2 + 3/8*i**4 + 0 + 0*i**3. Suppose s(f) = 0. What is f?
0, 3
Suppose 51*b - 20 = 47*b. Suppose -2*g**5 + b*g**3 - 2*g + 3*g**3 - 5*g**3 + g**3 = 0. What is g?
-1, 0, 1
Let u(g) be the second derivative of 1/18*g**4 - 5/9*g**3 - 2*g + 4/3*g**2 + 0. Suppose u(a) = 0. Calculate a.
1, 4
Factor -1/7*f**3 + 0*f**2 - 128/7 + 48/7*f.
-(f - 4)**2*(f + 8)/7
Let j(c) be the third derivative of 5*c**4/24 - 5*c**3/3 - 7*c**2. Let y be j(5). Factor -2 - 36*r**3 + 23*r**2 - y*r**2 + 2 - 44*r**4.
-4*r**2*(r + 1)*(11*r - 2)
Let l(a) = 23*a**2 + 715*a - 64805. Let z(f) = -5*f**2 + f + 1. Let v(c) = 2*l(c) + 10*z(c). Factor v(b).
-4*(b - 180)**2
Let j(y) be the second derivative of -y**7/168 - y**6/40 - y**5/40 + y**4/24 + y**3/8 + y**2/8 - 41*y + 2. Let j(f) = 0. Calculate f.
-1, 1
Let n(u) be the third derivative of 1/4*u**5 + 0*u**3 + 0*u**6 - 1/42*u**7 + 0*u + 0 - 5/12*u**4 - 11*u**2. Solve n(a) = 0.
-2, 0, 1
Let i(f) be the second derivative of -f**5/20 - f**4/3 + 2*f**3 - 120*f. Factor i(m).
-m*(m - 2)*(m + 6)
Suppose -y - 7 = 9*q - 11*q, 0 = -4*q - y + 5. Factor 0 - 1/3*x + x**q.
x*(3*x - 1)/3
What is t in -187*t**2 + 93*t**2 + 93*t**2 - t - 2*t = 0?
-3, 0
Let u(k) = k**2 + 2*k + 2. Let g be u(0). Let z(i) = -i**3 - 11*i**2 + 2. Let v be z(-11). Determine t so that -t + 5*t - 61*t**g + 62*t**v = 0.
-4, 0
Let x be 15 - 772/52 - (-947)/(-6240). Let i(r) be the third derivative of -10*r**2 + 0 - 1/24*r**3 + 1/240*r**5 + 1/96*r**4 - x*r**6 + 0*r. Factor i(o).
-(o - 1)**2*(o + 1)/4
Let w(u) be the first derivative of -u**6/30 + u**4/5 - 95. Determine t, given that w(t) = 0.
-2, 0, 2
Let x(c) = 72*c**4 - 48*c**3 - 40*c**2 + 12*c + 28. Let g(o) = -o**3 + o**2 - 2. Let a(t) = 12*g(t) + x(t). Determine k so that a(k) = 0.
-1/3, 1/2, 1
Let t(p) be the third derivative of p**8/84 - 4*p**7/105 - 2*p**6/15 + 2*p**5/15 + p**4/2 - 112*p**2. Factor t(j).
4*j*(j - 3)*(j - 1)*(j + 1)**2
Factor -2 - 36/5*j**2 + 16/5*j**3 - 2/5*j**4 + 32/5*j.
-2*(j - 5)*(j - 1)**3/5
Let p(x) be the first derivative of 25*x**9/7056 - x**8/98 - 19*x**7/1960 - x**6/420 - 17*x**3/3 - 17. Let s(f) be the third derivative of p(f). Solve s(b) = 0.
-1/5, 0, 2
Let v(f) = -5*f + 4*f + 0*f + 4*f**2 + 3*f. Let k(y) = -y**2. Let q(b) = -4*k(b) - 2*v(b). Factor q(o).
-4*o*(o + 1)
Solve -19*q**2 + 7*q**3 + 100*q + 2*q**2 - 87*q - 3 = 0 for q.
3/7, 1
Factor 78/19*b - 338/19 + 210/19*b**2 + 50/19*b**3.
2*(b - 1)*(5*b + 13)**2/19
Suppose -5*g = -8*g + 15. Suppose -6 = -g*l + 29. Solve 14*o**2 - l*o**2 - 6*o**2 + o = 0.
-1, 0
Let y(j) = 3*j - 1. Let w(a) = 5*a**2 - 74*a + 203. Let v(f) = w(f) + 3*y(f). Factor v(g).
5*(g - 8)*(g - 5)
Let k = 9746/3657 - -2/1219. Suppose -k*q + 2*q**3 + 0 - 8/3*q**2 = 0. What is q?
-2/3, 0, 2
Let m(x) be the second derivative of x**5/330 + x**4/132 + 9*x**2/2 + 11*x. Let c(v) be the first derivative of m(v). Factor c(p).
2*p*(p + 1)/11
Suppose 0 = -4*v + 18 + 6. Factor 2*k**2 - 2*k**2 - v*k + 3 + 3*k**2 + 0*k**2.
3*(k - 1)**2
Factor 5*u**3 + 220 - 4*u**3 - 40 + 4*u**3 - 24*u**2 - 61*u**2 - 100*u.
5*(u - 18)*(u - 1)*(u + 2)
Let o be ((-8)/(-160))/(10/6). Let h(a) be the second derivative of 0 + 0*a**4 - 3*a - o*a**5 + 0*a**3 + 0*a**2. Solve h(k) = 0 for k.
0
Find h such that 2/3*h**2 + 308/3*h + 11858/3 = 0.
-77
Let z(r) = -r**2 + r - 1. Let g(s) = s**4 - 10*s**3 + 27*s**2 - 30*s + 10. Let k(a) = g(a) - 2*z(a). Factor k(f).
(f - 6)*(f - 2)*(f - 1)**2
Let r(s) be the second derivative of -s**4/9 + 28*s**3/3 - 82*s**2/3 - 16*s + 8. What is u in r(u) = 0?
1, 41
Let d(w) be the first derivative of 5*w**6/96 - 3*w**5/16 - 27*w**4/32 - 9*w**3/8 - w**2 - 17*w - 28. Let k(n) be the second derivative of d(n). Factor k(t).
(t - 3)*(5*t + 3)**2/4
Let w(x) be the first derivative of -3*x**4/8 + x**3/2 + 3*x**2/4 - 3*x/2 + 176. Factor w(q).
-3*(q - 1)**2*(q + 1)/2
Let h = -466/21 + 5756/231. Solve -h*c + 32/11*c**3 + 4/11 + 48/11*c**2 = 0 for c.
-2, 1/4
Suppose 8*h - 9*h = -2. Suppose -h*q + 30 = 8*q. Factor -7/5*m - 2/5*m**2 + 2/5 + 7/5*m**q.
(m - 1)*(m + 1)*(7*m - 2)/5
Let b(j) = 4 - 4*j**2 + 3*j**3 + j - 2*j**3 + 0*j**3 - 3. Let s be b(4). Factor 0*p + 3*p**2 - 5*p + 18*p + 27 + s*p.
3*(p + 3)**2
Suppose 0 = 3*v - 5*v + 8. Determine j, given that 322 + 10*j**2 - 330 + j**v - 3*j**4 = 0.
-2, -1, 1, 2
Suppose -3 = -2*j - 33. Let y be (-18)/3 + (-9 - j). Factor 0*i + 3/2*i**2 - 3/2*i**4 + y - 3/2*i**3 + 3/2*i**5.
3*i**2*(i - 1)**2*(i + 1)/2
Suppose -23*o + 110 = 64. Let z(l) be the first derivative of -4 + 4*l + o*l**2 + 1/3*l**3. Factor z(f).
(f + 2)**2
Let n(q) be the third derivative of 0 + 0*q + 0*q**4 + 0*q**5 + 0*q**3 - 4*q**2 - 1/60*q**6. Determine p so that n(p) = 0.
0
Let b(u) be the first derivative of 0*u - 3*u**2 - 3*u**4 + 3/5*u**5 + 5*u**3 + 7. Suppose b(x) = 0. Calculate x.
0, 1, 2
Let s be (10/25)/((-9)/(225/(-160))). Let y(z) be the first derivative of -1/12*z**3 - 8 + 0*z**2 + 0*z + 1/20*z**5 - 1/24*z**6 + s*z**4. Solve y(n) = 0.
-1, 0, 1
Let w = 1729/135 - 281/27. What is z in w*z**2 - 14/5*z**3 - 2/5*z + 0 - 12/5*z**4 + 16/5*z**5 = 0?
-1, 0, 1/4, 1/2, 1
Let p = -17086 - -17086. Solve 27*d**2 + 17/4*d**4 + 1/4*d**5 + p - 54*d + 45/2*d**3 = 0.
-6, 0, 1
Let a = 39 - 39. Let v(k) be the first derivative of -4 + a*k + 49/12*k**4 + 2/3*k**2 + 28/9*k**3. Find r such that v(r) = 0.
-2/7, 0
Let o be ((-201)/(-871))/(1/13). Factor 2/7*z**2 - 6/7*z + 6/7*z**o + 2/7*z**4 - 4/7.
2*(z - 1)*(z + 1)**2*(z + 2)/7
Let w = 0 + 4. Suppose -23 = -5*x - 2*u, 0 = -w*u - u + 20. What is t in 2*t - 17*t + 12*t**2 + 6 - 101*t**x + 98*t**3 = 0?
1, 2
Let i(j) = -j**3 + 2*j + 1. Let w(k) = -5*k**3 - 8*k**2 - 12*k - 12. Let r(t) = 4*i(t) - w(t). Solve r(y) = 0.
-4, -2
Suppose -3*d + 2*u - 21 = -6*d, u - 8 = 