third derivative of -1/30*o**5 + 0*o**3 - o**2 + 0*o + 0*o**4 + 0 + z*o**6. Solve m(r) = 0 for r.
0, 1
Let o(r) be the second derivative of 0*r**4 - 1/2*r**3 + 0 + 0*r**2 + 3*r + 3/10*r**5 - 1/14*r**7 + 0*r**6. Suppose o(u) = 0. What is u?
-1, 0, 1
Let n be ((-39)/195)/(1/(-15)). Factor 6/7*b - 15/7*b**2 + 0 - 3/7*b**4 + 12/7*b**n.
-3*b*(b - 2)*(b - 1)**2/7
Let j be 0/(-1)*(8 - 7). Let o(v) = v**2 + 1. Let c be o(-1). Factor 1/3*u**3 - 1/3*u + 1/3*u**4 - 1/3*u**c + j.
u*(u - 1)*(u + 1)**2/3
Let f(r) be the second derivative of -r**8/20160 + r**7/3780 - r**4/6 + r. Let k(g) be the third derivative of f(g). Find q such that k(q) = 0.
0, 2
Let m(s) be the third derivative of 0*s + 2/105*s**7 + 0 + 7*s**2 - 1/12*s**4 + 1/60*s**6 + 0*s**3 - 1/15*s**5. What is v in m(v) = 0?
-1, -1/2, 0, 1
Let j = 4 - -1. Factor v**j + 3 - 3 - v**4.
v**4*(v - 1)
Determine v, given that -6*v**5 - 2*v**2 + 0*v**5 - v**2 + 3*v**4 + 6*v**3 = 0.
-1, 0, 1/2, 1
Suppose s - 6 = -2. Determine h, given that s - 2 - 3 + 3 - 2*h**2 = 0.
-1, 1
Let x(m) = -m**2 - 10*m - 18. Let r be x(-7). Let d(i) be the first derivative of 3*i**4 - r*i**3 + 3 + 12*i - 6*i**2 - 3/5*i**5. What is l in d(l) = 0?
-1, 1, 2
Let c(k) be the second derivative of -k**6/225 - k**5/75 - k**4/90 + 4*k. Factor c(w).
-2*w**2*(w + 1)**2/15
Let i(w) = -w**2 + 6*w + 10. Let p be i(7). Factor -12*d + 22*d**3 - 2*d**2 - 17*d**p + 6*d**2 + d + 2.
(d - 1)*(d + 2)*(5*d - 1)
Let d(f) be the third derivative of f**6/120 - f**5/6 - f**4/24 + 13*f**3/6 + 2*f**2. Let n be d(10). Factor -x**n - 1/3*x**4 - 1/3*x - x**2 + 0.
-x*(x + 1)**3/3
Let x(u) be the first derivative of 0*u + 0*u**4 + 3*u**2 + 3/5*u**5 - 3*u**3 - 2. Factor x(i).
3*i*(i - 1)**2*(i + 2)
Let x(n) be the second derivative of n**7/2520 - n**6/360 + n**5/120 + n**4/6 - n. Let b(q) be the third derivative of x(q). Find s such that b(s) = 0.
1
Factor -6/5*a**4 + 2/5*a**5 + 2/5 + 4/5*a**2 - 6/5*a + 4/5*a**3.
2*(a - 1)**4*(a + 1)/5
Let b = -20 - -83/4. Factor -3/4*y**4 + 3/4*y**2 + 0 + b*y - 3/4*y**3.
-3*y*(y - 1)*(y + 1)**2/4
Let w = 44/5 - 298/35. Solve 12/7*q - 18/7 - w*q**2 = 0 for q.
3
Suppose 3/4*y**2 - 3/4*y + 3/4*y**3 - 3/4 = 0. Calculate y.
-1, 1
Let j(t) be the second derivative of t**8/1120 - t**7/840 - t**6/720 - t**3/2 + 3*t. Let k(o) be the second derivative of j(o). Factor k(y).
y**2*(y - 1)*(3*y + 1)/2
Let z be (6/4)/((-3)/(-6)). Let k be 3 - (-1 - -2 - z). Factor a**3 + 0*a**3 - k*a**4 + 4*a**4.
-a**3*(a - 1)
Let g(s) be the third derivative of 0 + 5*s**2 + 0*s**5 - 1/24*s**4 + 0*s + 1/9*s**3 + 1/360*s**6. Factor g(i).
(i - 1)**2*(i + 2)/3
Let u = 8 + -13. Let q(n) = -10*n**3 - 10*n**2 + 7. Let f(i) = -1 + 0*i**2 + 7*i**3 - 4 + 7*i**2. Let o(x) = u*q(x) - 7*f(x). Suppose o(b) = 0. What is b?
-1, 0
Let f = -12 - -10. Let i be (-3)/f + (-1 - 0). Suppose i*w + 3/4*w**2 + 0 = 0. Calculate w.
-2/3, 0
Let b(s) be the third derivative of 0*s + 0 - 5*s**2 + 0*s**3 - 1/840*s**8 - 1/100*s**6 + 4/525*s**7 + 0*s**4 + 0*s**5. Factor b(m).
-2*m**3*(m - 3)*(m - 1)/5
Let a(g) = -g**2 + 5*g - 19. Let l = 13 + -9. Let i(q) = -q - 1. Let m(y) = l*a(y) - 12*i(y). Factor m(b).
-4*(b - 4)**2
Let w be 2 + -5 - 1*-6. Let -h**3 + w*h**3 - 2*h + 5*h**3 - 3*h**3 - 2*h**5 = 0. What is h?
-1, 0, 1
Determine a, given that -2/7 - 2/7*a + 10/7*a**2 - 6/7*a**3 = 0.
-1/3, 1
Let h be (0/(-26))/(2*(-3)/(-3)). Factor 0 + 3/4*z**3 - 1/4*z**2 + h*z.
z**2*(3*z - 1)/4
Let x(h) be the third derivative of -6*h**2 + 0*h + 1/56*h**4 + 0 - 1/420*h**5 - 1/21*h**3. Suppose x(o) = 0. Calculate o.
1, 2
Let d(c) be the second derivative of c**5/30 - c**3/3 + 2*c**2/3 - 15*c. Determine l, given that d(l) = 0.
-2, 1
Let s = -79/4 + 20. Let v be (1/2)/(-1)*-8. Determine f so that -3/4*f**3 + 3/4*f**2 + 1/4*f**v - s*f + 0 = 0.
0, 1
Factor -64 + 29 - 4*p + 12*p - 4*p**2 + 47.
-4*(p - 3)*(p + 1)
Let x(z) = 4*z**3 - z**3 - 4*z**5 + 4*z - z + 2*z**4 + 0*z**5. Let s(f) = 3*f**5 - f**4 - 2*f**3 - 2*f. Let g(y) = 3*s(y) + 2*x(y). Factor g(q).
q**4*(q + 1)
Let k be 8*5/(-30)*(-9)/3. Factor -2/3*p**5 - 6*p - 28/3*p**3 + 32/3*p**2 + 4*p**k + 4/3.
-2*(p - 2)*(p - 1)**4/3
Factor 3/2*m**3 + 1/2*m**4 - 3/2*m - 1 + 1/2*m**2.
(m - 1)*(m + 1)**2*(m + 2)/2
Let d(s) be the first derivative of 5*s**9/3024 - s**8/840 - s**7/168 + s**6/180 - s**3 + 3. Let y(m) be the third derivative of d(m). Factor y(k).
k**2*(k - 1)*(k + 1)*(5*k - 2)
Determine g, given that -44/3*g**2 - 2/3 + 16/3*g + 8/3*g**5 - 34/3*g**4 + 56/3*g**3 = 0.
1/4, 1
Let w(i) be the first derivative of 16*i**5/5 + 17*i**4/2 + 20*i**3/3 + i**2 + 4. Factor w(o).
2*o*(o + 1)**2*(8*o + 1)
Suppose -3*v + 6*v = 3. Find a, given that a + 2*a + v + 7*a**3 + 2*a**4 + 2*a + 9*a**2 = 0.
-1, -1/2
Factor 0 + 8/11*x**2 + 2/11*x**5 + 2/11*x + 8/11*x**4 + 12/11*x**3.
2*x*(x + 1)**4/11
Let m(l) = -19*l**3 + 43*l**2 + 19*l - 30. Let z(o) = 9*o**3 - 21*o**2 - 9*o + 15. Let j(y) = 6*m(y) + 13*z(y). Suppose j(s) = 0. What is s?
-1, 1, 5
Factor 2*i**2 + 0*i - i - 5*i + 2*i.
2*i*(i - 2)
Factor -45*r**2 - r + 46*r**2 + r**3 - r.
r*(r - 1)*(r + 2)
Let w(i) = -8*i**2 - 6*i - 7. Let p(z) = z**2 + z + 1. Let h(g) = 36*p(g) + 4*w(g). Factor h(u).
4*(u + 1)*(u + 2)
Let r(o) be the third derivative of -o**5/210 - o**4/42 - 28*o**2. Suppose r(z) = 0. What is z?
-2, 0
Let a(y) = -y**2 - y. Let c(d) = 7*d**2 + 4*d + 1. Let q = -23 + 17. Let z(g) = q*a(g) - c(g). Determine k, given that z(k) = 0.
1
Suppose -26 = -4*s + l, s + 0*l - 12 = 3*l. Solve s + 3*i**2 - 2*i**2 + 8*i + 10 = 0 for i.
-4
Solve -3*d**3 - 6*d**2 - 11*d - 17 + 3*d**2 + 26*d + 8 = 0 for d.
-3, 1
Let o(k) = -k**2 - 7*k - 10. Let h be o(-3). Factor -8/3*v + 2/3*v**h + 8/3.
2*(v - 2)**2/3
Let m(i) = -i**2 - i**3 - 1 + 0 + 3 + 3*i**2. Let c be m(2). Factor 1/2*g - 1/4 - 1/4*g**c.
-(g - 1)**2/4
Let t(c) be the first derivative of -c**6/1260 + c**5/420 - c**3 + 7. Let p(l) be the third derivative of t(l). Determine r so that p(r) = 0.
0, 1
Find u such that -11 + 3*u**2 + 11 - 18*u = 0.
0, 6
Suppose -3*b - 2*g + 22 = 0, -2*b + 14 = 2*g - g. Factor -b*f + 2*f + 4*f**2 + f**2 - 2*f**3 + f**2.
-2*f*(f - 2)*(f - 1)
Let f(x) = x**3 + 4*x**2 + x - 2. Let n be f(-3). Let c be (4 + -7)/((-6)/n). Suppose -3*h**5 + c*h**4 - 2*h**5 + 3*h**5 = 0. Calculate h.
0, 1
Let x be (-12)/(-54)*(2 - -1). Let t(o) be the first derivative of -2/3*o + 1 - 2/9*o**3 - x*o**2. What is k in t(k) = 0?
-1
Let c = -5 + 7. Factor -j**3 + 2*j**4 + c*j**2 - 2*j**3 + 7*j**3.
2*j**2*(j + 1)**2
Let y(l) be the second derivative of l**7/420 + l**6/45 + l**5/15 + l**4/3 - 4*l. Let t(j) be the third derivative of y(j). Determine u, given that t(u) = 0.
-2, -2/3
Let b = 17 + -11. Let r be 4/b - (-4)/(-24). What is l in -2*l + r*l**2 + 2 = 0?
2
Let a = 90 - 88. Factor -12*x + 27*x**4 + 12*x**3 - 77/3*x**a - 4/3.
(x - 1)*(x + 1)*(9*x + 2)**2/3
Find p, given that -1/4*p**3 - 1/4*p**4 - 3/4*p + 0 + 5/4*p**2 = 0.
-3, 0, 1
Let a(w) = -w**3 + 17*w**2 + w - 17. Let p(j) = -3*j**3 + 60*j**2 + 3*j - 60. Let z(v) = -18*a(v) + 5*p(v). Suppose z(f) = 0. Calculate f.
-1, 1, 2
Let i(b) = -b**2 - 8*b - 15. Let r be i(-5). Let x(y) be the second derivative of -1/36*y**4 + r*y**3 + 1/12*y**5 + 0 - 2/45*y**6 + 2*y + 0*y**2. Factor x(m).
-m**2*(m - 1)*(4*m - 1)/3
Let f(g) = -6*g**2 + 4*g. Let j(t) = -t**2. Let h(a) = -f(a) + 2*j(a). Factor h(d).
4*d*(d - 1)
Factor -1/5*i**2 + 1/5*i + 2/5.
-(i - 2)*(i + 1)/5
Let g(x) be the third derivative of -x**7/105 + x**6/60 - 5*x**2. Factor g(j).
-2*j**3*(j - 1)
Factor 0 + 3/2*p**3 + p**2 + 1/4*p + 1/4*p**5 + p**4.
p*(p + 1)**4/4
Factor 1/2*d**2 + 3/2 + 2*d.
(d + 1)*(d + 3)/2
Suppose -2*g + 0*g = 0. Let r(i) be the third derivative of 0*i + 2*i**2 + 1/30*i**5 + g*i**3 + 0 + 1/12*i**4. Solve r(b) = 0 for b.
-1, 0
Factor 2/3*u**4 + 0*u**2 + 0 + 0*u - 8/3*u**3.
2*u**3*(u - 4)/3
Let y(n) be the third derivative of 1/36*n**4 + 0*n**3 - 2*n**2 + 0 + 1/180*n**5 + 0*n. Factor y(m).
m*(m + 2)/3
Let f(z) be the third derivative of -z**8/90720 - z**7/7560 - z**6/1620 + z**5/30 + z**2. Let t(m) be the third derivative of f(m). Factor t(l).
-2*(l + 1)*(l + 2)/9
What is t in 10*t - 2*t**2 + 0*t - 26*t = 0?
-8, 0
Let m(u) be the third derivative of 5/24*u**4 + 0*u**3 + 1/12*u**6 - 11*u**2 + 0 - 5/24*u**5 + 0*u - 1/84*u**7. Factor m(j).
-5*j*(j - 2)*(j - 1)**2/2
D