d derivative of -7*y**8/48 - 11*y**7/60 - y**6/15 - y**5/120 + 2*y**2. Let f(j) = 0. Calculate j.
-1/2, -1/7, 0
Factor 5/3*s**4 - 1/3*s**5 + s**2 - 7/3*s**3 + 0*s + 0.
-s**2*(s - 3)*(s - 1)**2/3
Let b(p) = -2*p**3 + 9*p**2 + 6*p - 5. Let v(y) = -y**3 + 9*y**2 + 6*y - 4. Let i(f) = -4*b(f) + 5*v(f). Solve i(o) = 0 for o.
-2, -1, 0
Factor 0 + 2/5*u**2 + 0*u - 8/5*u**5 + 0*u**4 + 6/5*u**3.
-2*u**2*(u - 1)*(2*u + 1)**2/5
Let b = 18 - 71/4. Factor 0*g**2 - b*g**3 + 1/2 + 3/4*g.
-(g - 2)*(g + 1)**2/4
Suppose 9 + 21 = 5*d. Suppose d*t - t = 10. Factor -4/7*r + 2/7*r**t + 2/7.
2*(r - 1)**2/7
Let l(c) = -5*c - 51. Let r be l(-11). Factor -2/5*x - 8/5*x**5 + 0 - 26/5*x**r - 14/5*x**2 - 6*x**3.
-2*x*(x + 1)**3*(4*x + 1)/5
Factor -2/7*c + 2/7*c**2 + 0.
2*c*(c - 1)/7
Let q = 154 - 458/3. Let o = 24 + -20. Suppose q - 12*t**2 + 10/3*t + 32/3*t**o + 8/3*t**3 - 6*t**5 = 0. What is t?
-1, -2/9, 1
Let u be (-12)/10 + (-5)/((-15)/6). Factor 6/5*f - 2/5*f**2 - u.
-2*(f - 2)*(f - 1)/5
Let i(g) be the third derivative of 0*g - 1/6*g**4 + 1/30*g**5 + 0 - 2*g**2 + 0*g**3. Let i(w) = 0. Calculate w.
0, 2
Suppose 17*s = 64 + 4. Factor -2/5*v**2 + 4/5*v**3 + 2/5*v**s - 4/5*v + 0.
2*v*(v - 1)*(v + 1)*(v + 2)/5
Suppose 5 = 3*l - 1. Suppose -11*t**2 + 3*t**2 + 0*t**2 - 24*t - 6*t**l + 8 = 0. Calculate t.
-2, 2/7
Let t = 7 + -2. Let q(w) be the second derivative of 1/30*w**4 + 0*w**3 + 0 + 0*w**2 + 1/25*w**6 - 1/105*w**7 + 2*w - 3/50*w**t. Factor q(v).
-2*v**2*(v - 1)**3/5
Suppose 2*y + 2*y - 80 = 0. Suppose 0 = f - 4*r + y, -2*r = -f + r - 15. Factor -2/7*z**2 + 2/7 + f*z.
-2*(z - 1)*(z + 1)/7
Let x(l) be the second derivative of -l**6/12 - 3*l**5/10 + 11*l**4/24 + l**3/2 - 11*l. Factor x(q).
-q*(q - 1)*(q + 3)*(5*q + 2)/2
Let k(n) = 2*n + 40. Let d be k(-20). Factor 0*l**2 + 1/5*l**3 - 1/5*l + d.
l*(l - 1)*(l + 1)/5
Let m be (-3)/(-16)*4/3. Factor 3/4*l + 0*l**4 + m*l**5 + 1/2 - l**3 - 1/2*l**2.
(l - 2)*(l - 1)*(l + 1)**3/4
Let c be (1 + 0)*(-7 + 15 + -7). Let h(r) be the first derivative of 0*r**2 + 0*r**4 + 0*r - 1/5*r**5 + c + 1/3*r**3. Factor h(b).
-b**2*(b - 1)*(b + 1)
Factor 38 - 6*i**2 - 3*i - 16 - 16 + 3*i**3.
3*(i - 2)*(i - 1)*(i + 1)
Let r(d) be the first derivative of 1/2*d**3 - 1/4*d**2 - 3/2*d + 1/8*d**4 - 2. Solve r(n) = 0.
-3, -1, 1
Let b(f) be the first derivative of 3*f**5/5 + 105*f**4/16 + 87*f**3/4 + 15*f**2 - 12*f - 3. Find g, given that b(g) = 0.
-4, -1, 1/4
Let c(i) = -i - 19. Let v be c(9). Let j be 40/14 + (-4)/v. Let -1/5*u**2 + 0 + 0*u - 1/5*u**j = 0. What is u?
-1, 0
Let 48*y**2 - 36/5*y - 357/5*y**3 - 147/5*y**4 + 0 = 0. What is y?
-3, 0, 2/7
Let p(n) be the third derivative of 0*n + 1/3*n**3 + 3*n**2 + 0 + 1/5*n**5 - 1/15*n**6 + 1/105*n**7 - 1/3*n**4. Let p(o) = 0. Calculate o.
1
Let z = 17 + -12. Let k be (-2)/2*(2 - 4). Factor -15*y**4 + z*y**4 - 2*y**k + 4*y - 4*y**3 + 12*y**2.
-2*y*(y - 1)*(y + 1)*(5*y + 2)
Let d be (-2 - -3)/1*3. Let k be 3/1 + 5/(-5). Find j, given that 2*j**k + 2/3*j**d + 2*j + 2/3 = 0.
-1
Let u = -11 - -14. Factor 5*a**2 - a**2 - 3*a**2 + u*a.
a*(a + 3)
Let i(g) = -g**5 + g**4 + g**2 - g - 1. Let d(o) = -9*o**5 + 17*o**4 - 4*o**3 - o**2 - 9*o - 5. Let t(p) = -2*d(p) + 22*i(p). Solve t(z) = 0 for z.
-3, -1, 1
Let q(j) be the third derivative of 1/120*j**4 + 0*j + 0 + 0*j**3 - 5*j**2 + 1/300*j**5 - 1/600*j**6 - 1/1050*j**7. Factor q(h).
-h*(h - 1)*(h + 1)**2/5
Let i = 327 + -327. Suppose -11/5*m**3 + m**2 + 2/5*m - 29/5*m**4 + i - 3*m**5 = 0. Calculate m.
-1, -1/3, 0, 2/5
Let r be 1/(-2) + (-15)/(-6). Let k = 69 + -42. Find i such that k*i - 9*i**r + i**3 - i**3 - 27 + i**3 = 0.
3
Determine b, given that 118*b**2 + 112*b + 16 + 109*b**2 - 31*b**2 = 0.
-2/7
Let i = -3 + 3. Let b(h) be the third derivative of -1/12*h**4 - 1/60*h**5 - 1/6*h**3 + 2*h**2 + i + 0*h. Factor b(f).
-(f + 1)**2
Let w(y) be the second derivative of -y**5/210 - y**4/28 - 2*y**3/21 + 5*y**2/2 - 3*y. Let c(o) be the first derivative of w(o). Let c(t) = 0. What is t?
-2, -1
Let c(l) be the third derivative of l**8/10080 - l**6/1080 - l**4/12 + 2*l**2. Let f(g) be the second derivative of c(g). Factor f(r).
2*r*(r - 1)*(r + 1)/3
Let l be -1 - ((-102)/14 - -4). Solve l*v - 8/7 + 2/7*v**3 - 10/7*v**2 = 0 for v.
1, 2
Let n(j) = -12*j**2 - 36*j - 31. Let q(p) = 4*p**2 + 12*p + 10. Let y(g) = 2*n(g) + 7*q(g). Find h such that y(h) = 0.
-2, -1
Let v(j) be the second derivative of j**7/4620 - j**5/660 - j**3/6 - 3*j. Let f(y) be the second derivative of v(y). Factor f(i).
2*i*(i - 1)*(i + 1)/11
Let c(q) be the second derivative of -q**5/60 + q**4/12 - q**3/6 + q**2/6 - 8*q. Let c(u) = 0. Calculate u.
1
Let n(r) = r**2 + 1. Let f(j) = j + 3 - 3. Let t(g) = -4*f(g) - 2*n(g). Determine v, given that t(v) = 0.
-1
Let l(h) be the second derivative of h**5/110 - h**4/33 - h**3/33 + 2*h**2/11 - 2*h. Factor l(k).
2*(k - 2)*(k - 1)*(k + 1)/11
Let o = 29/40 - 1/8. Determine d so that -o*d - 2/5*d**2 + 6/5*d**3 - 3/5*d**5 + 1/5*d**4 + 1/5 = 0.
-1, 1/3, 1
Let x = 0 - 0. Determine r, given that x*r + 2*r**3 + r + 4*r**2 - r = 0.
-2, 0
Let o(v) be the second derivative of 0*v**5 + 0*v**2 - 1/45*v**6 - 2*v + 0*v**3 + 0 + 1/18*v**4. Factor o(d).
-2*d**2*(d - 1)*(d + 1)/3
Let k(z) be the third derivative of z**8/6720 + z**7/3360 + 2*z**3/3 - 2*z**2. Let f(y) be the first derivative of k(y). Factor f(l).
l**3*(l + 1)/4
Factor 16/9 - 16/9*x**3 - 20/3*x**2 - 16/3*x.
-4*(x + 2)**2*(4*x - 1)/9
Let h(v) be the first derivative of v**7/168 - v**6/30 + 3*v**5/40 - v**4/12 + v**3/24 - v + 2. Let w(g) be the first derivative of h(g). Factor w(c).
c*(c - 1)**4/4
Let w = 8 + -8. Factor w - 2/3*j**3 - 8/3*j**2 - 8/3*j.
-2*j*(j + 2)**2/3
Let h(r) be the third derivative of -1/12*r**3 + 0 + 1/140*r**7 - 3*r**2 + 1/120*r**6 + 1/672*r**8 - 1/60*r**5 - 1/16*r**4 + 0*r. Find i, given that h(i) = 0.
-1, 1
Let s = -1 - -1. Suppose s*p = 2*p - 4. Suppose -4*y**3 + 2*y**2 + 4*y**4 + 10*y**3 + y + p*y**2 + y**5 = 0. What is y?
-1, 0
Let f(v) be the first derivative of 2 + 3/2*v**2 + 0*v + 0*v**4 + 0*v**3 - 1/30*v**5. Let w(l) be the second derivative of f(l). Factor w(x).
-2*x**2
Let w(a) be the first derivative of 3*a**5/5 - a**4 - 7*a**3/3 + 2*a**2 + 4*a - 3. Let w(c) = 0. What is c?
-1, -2/3, 1, 2
Let c(d) = 2*d - 30. Let p be c(17). Let z(q) be the first derivative of -6/5*q**5 - 2 + 2*q + 4/3*q**3 - 3*q**2 + 1/3*q**6 + q**p. Factor z(f).
2*(f - 1)**4*(f + 1)
Factor -3/8*p**3 + 0*p + 0 - 1/4*p**2 + 0*p**4 + 1/8*p**5.
p**2*(p - 2)*(p + 1)**2/8
Factor 0*t**2 + 0*t + 2/9*t**3 + 0.
2*t**3/9
Let n(v) = -v**2 - 35*v + 32. Let z(k) = 9*k**2 + 246*k - 225. Let s(y) = -15*n(y) - 2*z(y). Factor s(c).
-3*(c - 10)*(c - 1)
Let b be 16/24*6*(-2)/(-28). Factor b*i**2 + 2/7*i**3 - 2/7*i - 2/7.
2*(i - 1)*(i + 1)**2/7
Let c = 74 + -71. Let i(s) be the first derivative of 1/12*s**c - 2 + 0*s + 0*s**2. Factor i(g).
g**2/4
Factor 0 + 1/5*a**2 + 1/5*a**4 + 0*a - 2/5*a**3.
a**2*(a - 1)**2/5
Let w(i) be the first derivative of i**8/672 - i**6/120 + i**4/48 + 2*i**2 - 2. Let f(c) be the second derivative of w(c). Let f(t) = 0. What is t?
-1, 0, 1
Let l be (14/6)/(-7) + 1. Suppose -4/3*w + l + 2/3*w**2 = 0. What is w?
1
Let t(r) = -r**2 - r - 4. Let l(x) = 2*x**2 + x + 7. Let v(f) = 3*l(f) + 5*t(f). Determine z so that v(z) = 0.
1
Let d = -4 - -10. Suppose -o - o - 14 = -3*t, -t + d = -o. Let 6/5*f**t + 4/5*f - 2/5 = 0. What is f?
-1, 1/3
Find j such that 2/3*j**4 - 2/3*j**2 + 0*j + j**3 - j**5 + 0 = 0.
-1, 0, 2/3, 1
Let v be 4 + -5 - (-2 - 1). Suppose v*o + 3*o = 0. Factor -2/3*r**2 + 0 + o*r - 2/3*r**3.
-2*r**2*(r + 1)/3
Let w = 10096 - 1181224/117. Let y = 2/13 + w. Factor 2/9*n + y*n**2 - 4/9.
2*(n - 1)*(n + 2)/9
Factor 0 - 3*j**2 - 3/4*j.
-3*j*(4*j + 1)/4
What is p in 78*p**2 + 1028*p**2 + 166*p**4 - 163*p**4 + 96*p**3 + 46*p**2 + 6144*p + 12288 = 0?
-8
Let x(r) = 9*r**2 - 8*r + 5. Let s(p) = -5*p**2 + 4*p - 3. Let j(q) = 11*s(q) + 6*x(q). Factor j(k).
-(k + 1)*(k + 3)
Let g(p) be the second derivative of -p**7/840 + p**4/4 + 4*p. Let c(v) be the third derivative of g(v). Factor c(b).
-3*b**2
Let r(u) be the first derivative of u**4/10 - 3*u**2/5 + 4*u/5 - 5. Solve r(l) = 0 for l.
-2, 1
Let v(w) be the third derivative of w**5/120 - w**3/12 + 5*w**2. Factor v(i).
(i - 1)*(i + 1)/2
Let r be ((-2)/30)/((-12)/5). L