40*a**6 - 1/96*a**o. Factor s(u).
-u*(u - 1)**2*(u + 1)**2/4
Let g(q) be the first derivative of -1 - 2*q - 4/3*q**3 - 3*q**2. Determine n, given that g(n) = 0.
-1, -1/2
Let z(s) be the first derivative of -s**5/20 - s**4/16 + s**3/3 + s**2/2 + 43. Determine d so that z(d) = 0.
-2, -1, 0, 2
Let g(f) = f**2 + 1. Let c(r) = -2*r**3 + 7*r**2 - 24*r + 11. Let z(a) = c(a) + 5*g(a). Factor z(x).
-2*(x - 2)**3
Let v(a) be the first derivative of 0*a + 0*a**2 - 3/8*a**4 + 0*a**3 - 3. Solve v(m) = 0 for m.
0
Let 2/5*z**2 + 0 - 1/5*z**3 - 1/5*z = 0. What is z?
0, 1
Let v be 41/(-82) + 7/2. Solve 29/3*t**4 + 0 - 10*t**v + 13/3*t**2 - 10/3*t**5 - 2/3*t = 0 for t.
0, 2/5, 1/2, 1
Let c = -35/13 + 118/39. Factor -c*z + 0 - 2/3*z**2 - 1/3*z**3.
-z*(z + 1)**2/3
Let w = -41/16 + 139/48. Suppose 2/3*f**4 + 0*f**2 + 0 + 0*f + w*f**3 = 0. Calculate f.
-1/2, 0
Factor -4/3*m + 0 + 10/3*m**3 - 2*m**2.
2*m*(m - 1)*(5*m + 2)/3
Solve 1/6*h**2 + 0*h - 2/3 = 0 for h.
-2, 2
Let g(i) be the third derivative of i**6/360 - i**5/180 - i**4/9 + 2*i**3/3 + 2*i**2 + 11*i. Suppose g(m) = 0. Calculate m.
-3, 2
Let v = -251 - -253. Solve -1/6*n**v + 0*n + 0 = 0.
0
Let c(n) be the third derivative of n**5/150 + n**4/15 - n**3/3 + 36*n**2. Factor c(p).
2*(p - 1)*(p + 5)/5
Let s = 19 - 29. Let f be (s + 15)*2/15. Let 0 - 2/3*h**3 - f*h**2 + 0*h = 0. Calculate h.
-1, 0
Factor -2/9*o**3 - 2/9*o + 4/9*o**2 + 0.
-2*o*(o - 1)**2/9
Determine b so that 1/2 - 5/4*b + b**2 - 1/4*b**3 = 0.
1, 2
Let l = 10 + -6. Factor -6 + 4*n**4 + 4*n**2 - 5*n**4 - n**l + 4.
-2*(n - 1)**2*(n + 1)**2
Suppose -5/3*g + 1/3*g**3 + 1 + 1/3*g**2 = 0. What is g?
-3, 1
Let s(a) = a**3 - a**2 - a - 1. Let v(u) = 7*u**3 - 9*u**2 - 8*u - 8. Let z(q) = -24*s(q) + 3*v(q). Solve z(o) = 0.
-1, 0
Let p = -1 - -1. Let k(m) be the first derivative of -1/3*m**3 - 1 - 1/2*m**4 + p*m + 1/2*m**2. Factor k(v).
-v*(v + 1)*(2*v - 1)
Determine s so that -2/3*s + 0 - 10/3*s**3 - 4/3*s**4 - 8/3*s**2 = 0.
-1, -1/2, 0
Let k = 10 + -15. Let j(l) = l**2 + 11*l - 12. Let q(y) = -10 + y**2 + 17*y - 7 - 1. Let i(x) = k*q(x) + 8*j(x). Find h such that i(h) = 0.
-2, 1
Let x(g) be the first derivative of g**6/42 + 3*g**5/35 + g**4/28 - g**3/7 - g**2/7 - 4. Factor x(w).
w*(w - 1)*(w + 1)**2*(w + 2)/7
Let z(c) = c - 3. Let m be z(3). Suppose -3*g - 10 = -5*q - m*g, -4*q + 3*g = -8. Suppose -26/9*k**q + 52/9*k**3 + 0 - 10/3*k**4 + 4/9*k = 0. What is k?
0, 1/3, 2/5, 1
Let h(c) be the second derivative of -c**8/6720 + c**6/1440 - 2*c**3/3 + c. Let d(q) be the second derivative of h(q). Factor d(s).
-s**2*(s - 1)*(s + 1)/4
Solve -1/4*k**2 + 0*k + 0 = 0 for k.
0
Let j(n) be the second derivative of -n**5/70 + n**4/14 + n**3/21 - 3*n**2/7 - 26*n. Solve j(y) = 0 for y.
-1, 1, 3
Factor 24/5*z - 12/5 - 6/5*z**3 + 3/5*z**4 - 9/5*z**2.
3*(z - 2)*(z - 1)**2*(z + 2)/5
Let z = 99 - 30. Let y = -205/3 + z. What is d in -y + 2*d**4 - 2/3*d**5 + 2*d - 4/3*d**3 - 4/3*d**2 = 0?
-1, 1
Let b(s) be the first derivative of -2/7*s**2 - 2/21*s**3 + 1 - 2/7*s. Factor b(y).
-2*(y + 1)**2/7
Suppose -10*f = 4*f - 10*f. Let f - 2/3*t + t**2 - 1/3*t**3 = 0. What is t?
0, 1, 2
Suppose -17 = 4*v - 29. Let p(x) be the second derivative of 0*x**2 + 0 - x + 0*x**v - 1/10*x**5 - 1/30*x**6 - 1/12*x**4. Factor p(w).
-w**2*(w + 1)**2
Suppose 3*d + 12 = -2*n, -2*n - 14 = 5*d - d. Let v = 0 - d. Let 0*t**2 - 2*t**2 - v*t**3 - 3*t**4 + 3*t**2 = 0. Calculate t.
-1, 0, 1/3
Suppose 0 = o + 4*g + 18, 0*g - 8 = -4*o + 4*g. Let x = o + 3. What is t in -t**4 - 2*t**3 + 2*t + 0 + x + 0*t**4 = 0?
-1, 1
Let m(u) be the second derivative of -u**7/168 + u**6/120 + u**5/40 - 6*u. Factor m(y).
-y**3*(y - 2)*(y + 1)/4
Let q(g) be the second derivative of -g**6/180 - g**5/45 + g**4/36 + 2*g**3/9 + g**2/2 - 3*g. Let l(n) be the first derivative of q(n). Solve l(h) = 0.
-2, -1, 1
Let l(i) be the third derivative of 3/112*i**8 + 0*i + 1/8*i**4 - 5*i**2 + 1/7*i**7 + 0*i**3 + 0 + 3/10*i**5 + 3/10*i**6. Factor l(z).
3*z*(z + 1)**3*(3*z + 1)
Let x be 7/2 + -1 + (7 - 9). Let s = 0 + 4. Solve -x*p**3 + 0 - 1/4*p**s - 1/4*p**2 + 0*p = 0.
-1, 0
Suppose -7*k + 31 + 18 = 0. Let q be k/10*160/140. Solve 2/5 - 7/5*f + q*f**3 - 8/5*f**4 + 6/5*f**2 + 3/5*f**5 = 0.
-1, 2/3, 1
Let r(s) = -s**3 - 6*s**2 + 7*s - 5. Let a be r(-7). Let n be (2/a)/(2/(-10)). Let 2*q**5 + 10*q**3 + q**2 - 8*q**4 + 4*q**2 - 9*q**n + 0*q**5 = 0. What is q?
0, 1, 2
Let o(i) be the first derivative of -2*i - 1/8*i**4 + 1/6*i**3 - 3 + 0*i**2 + 1/40*i**5. Let u(j) be the first derivative of o(j). Factor u(f).
f*(f - 2)*(f - 1)/2
Let u = 171 + -171. Determine n, given that 1/6*n + 1/3*n**2 - 1/6*n**5 - 1/3*n**4 + 0*n**3 + u = 0.
-1, 0, 1
Let y be (-6)/(-33) - (-172)/22. Suppose 0 = 4*c - 2*n - 8, c = -3*c - 5*n + y. What is u in 0 - 1/3*u**3 - 1/3*u**c + 0*u = 0?
-1, 0
Let d be (34/4)/(12/24). Suppose -d = -5*l - 7. Factor 0*a - 14/3*a**4 - 4/3*a**3 + 0*a**l + 0.
-2*a**3*(7*a + 2)/3
Let v(y) be the second derivative of 0 - y**3 + y**2 - 5*y - 7/24*y**4. Let v(j) = 0. What is j?
-2, 2/7
Let z(m) be the first derivative of -m**7/3360 + m**6/360 - m**5/120 + m**3 - 3. Let d(q) be the third derivative of z(q). Factor d(g).
-g*(g - 2)**2/4
Let k(i) = i**2 - i - 10. Let v(t) = 3*t**2 - 4*t - 29. Let u(g) = -11*k(g) + 4*v(g). Factor u(j).
(j - 6)*(j + 1)
Let m = 2/79 + 152/237. Let q(t) be the first derivative of -4/3*t - 1/9*t**3 + m*t**2 + 1. Solve q(o) = 0.
2
Solve 5*q - 4*q**2 + 3*q**3 - 2*q**3 - 5 + 3 = 0 for q.
1, 2
Determine p so that 0 - 2/3*p**2 + 1/3*p**3 + 0*p = 0.
0, 2
Let v = -24/7 + 128/21. Suppose -v*q**2 - 2/3*q + 8/3*q**4 + 2*q**5 - 4/3*q**3 + 0 = 0. What is q?
-1, -1/3, 0, 1
Let o(d) be the second derivative of -d**6/180 - d**5/45 - d**4/36 + d**2 - 3*d. Let g(l) be the first derivative of o(l). Suppose g(v) = 0. Calculate v.
-1, 0
Let t(r) = 30*r**4 - 7*r**2 - 9*r**4 - 14*r**2. Let a(f) = 6*f**4 - 6*f**2. Let b(u) = 18*a(u) - 5*t(u). Suppose b(l) = 0. What is l?
-1, 0, 1
Suppose 0 = 8*t - 26 + 2. Factor 27/8*m + 27/8 - 5/4*m**t - 9/4*m**2 + 7/8*m**4 - 1/8*m**5.
-(m - 3)**3*(m + 1)**2/8
Factor -2*g**3 - 3*g**3 + g**3 + 3*g**3 + g.
-g*(g - 1)*(g + 1)
Factor 2/3 + 4/9*t - 2/9*t**2.
-2*(t - 3)*(t + 1)/9
Let r(l) be the second derivative of -l**6/480 + l**5/120 - 3*l**2 - 3*l. Let p(n) be the first derivative of r(n). Suppose p(s) = 0. Calculate s.
0, 2
Let t(g) = 7*g - 4*g + g**2 + 7*g. Let u be t(-10). Determine s, given that -1/2*s**3 + u*s**2 + 0 + 1/2*s = 0.
-1, 0, 1
Let s(u) be the third derivative of u**6/420 - u**5/210 - u**4/42 - 2*u**2. Factor s(a).
2*a*(a - 2)*(a + 1)/7
Solve 2/3*g**3 + 6*g + 0 - 4*g**2 = 0.
0, 3
Let u be (-118)/2 - 3*-1. Let x be -1*2 + u/(-10). Factor -4/5 - x*i - 14/5*i**2.
-2*(i + 1)*(7*i + 2)/5
Let w(m) = -m - 2 + 6*m**2 - 4*m + 4*m. Let v(q) = 7*q**2 - 2*q - 3. Let h(i) = 5*v(i) - 6*w(i). Suppose h(p) = 0. Calculate p.
-3, -1
Let a(d) be the second derivative of 50*d**7/21 - 28*d**6/3 + 69*d**5/5 - 28*d**4/3 + 8*d**3/3 + 17*d. What is f in a(f) = 0?
0, 2/5, 1
Factor -5/4*g**3 + 1/2*g + 0 - 3/4*g**2.
-g*(g + 1)*(5*g - 2)/4
Let b be (-43)/(-13) + (-8 - -5). Let j = b + 6/65. Factor -2/5 + 0*x + j*x**2.
2*(x - 1)*(x + 1)/5
Suppose -4*b + 5*q = q - 12, 0 = 2*b + 3*q - 21. Suppose 4*l + l + 0*l**4 + 3 - b*l**3 + l - 3*l**4 = 0. Calculate l.
-1, 1
Factor -3/5*n**5 - 3/5*n**4 + 6/5*n**2 + 6/5*n**3 - 3/5 - 3/5*n.
-3*(n - 1)**2*(n + 1)**3/5
Factor -5*z - 5 + 5/4*z**3 + 5/4*z**2.
5*(z - 2)*(z + 1)*(z + 2)/4
Find d such that 14/5*d**4 + 26/5*d**3 - 16/5*d + 8/5 - 22/5*d**2 - 2*d**5 = 0.
-1, 2/5, 1, 2
Let o(n) be the second derivative of -2*n**7/315 + n**6/45 - n**5/30 + n**4/6 - n. Let j(a) be the third derivative of o(a). Factor j(i).
-4*(2*i - 1)**2
Let q = 91 - 85. Let f(h) be the third derivative of 0 + 1/150*h**5 + 1/150*h**q - 4*h**2 + 0*h - 1/12*h**4 + 2/15*h**3. Solve f(o) = 0 for o.
-2, 1/2, 1
Let l = 62/13 + -160/39. Factor -l*w + 0 - 2/3*w**2.
-2*w*(w + 1)/3
Let n(r) = 4*r - 8. Let j be n(2). Let m(u) be the first derivative of -4/9*u**3 - 7/6*u**4 - 3 + j*u**2 + 0*u. Factor m(c).
-2*c**2*(7*c + 2)/3
Let n(y) be the second derivative of y**4/12 + 5*y**3/6 + 3*y**2/2 + 2*y. Let o be n(-5). Factor g**3 + 2 - 4*g**2 - 3*g + 4*g + 4*g**o - 4*g**2.
(g - 1)**2*(5*g + 2)
Let o(f) = 11*f**2 - 11*f - 6. Let h(k) = -7*k