-2*y. Let k(v) = 26 - 3*v**3 - 27 + 2*v**y - v**4. Let m(j) = -4*j**4 - 2*j**3 + 2*j**2 - 6. Let d(b) = -6*k(b) + m(b). Factor d(g).
2*g**2*(g + 1)**2
Factor -2/9*i**2 + 4/3*i - 2.
-2*(i - 3)**2/9
Solve -32/11*s**3 - 62/11*s**2 - 12/11*s + 18/11*s**4 + 0 = 0.
-1, -2/9, 0, 3
Let v(g) = 5*g**2 + g. Let d be v(-1). Let h be ((-1)/(18/d))/(21/(-63)). Factor h*y**2 - 8/15*y**3 + 0 + 2/15*y**4 - 4/15*y.
2*y*(y - 2)*(y - 1)**2/15
Find i such that -595/2*i - 289/2 - 1/8*i**4 - 35/4*i**3 - 1293/8*i**2 = 0.
-34, -1
Let c(z) = -3*z**3 + 2*z**2 - 2*z - 3. Let b be c(-1). Let a(f) be the second derivative of 1/3*f**4 + 2/3*f**3 - 4*f**2 + 0 + b*f. Factor a(s).
4*(s - 1)*(s + 2)
Let l(w) be the third derivative of -w**7/120 - w**6/72 + w**5/60 + w**3/6 - 10*w**2. Let o(r) be the first derivative of l(r). Solve o(u) = 0 for u.
-1, 0, 2/7
Factor -10/17*y**2 + 0*y + 2/17*y**3 + 0.
2*y**2*(y - 5)/17
Suppose 34 = b + 5*b - 2*t, -5*t = -5*b + 35. Let y(o) be the third derivative of 9*o**2 - 1/3*o**3 + 0*o + 0 - 1/9*o**4 - 1/90*o**b. Solve y(j) = 0 for j.
-3, -1
Find u, given that -32 - 230*u + 179*u - 12*u**4 + u**5 + 147*u - 106*u**2 + 53*u**3 = 0.
1, 2, 4
Let z(w) be the third derivative of w**7/105 - w**6/60 - w**5/15 + 282*w**2. Factor z(d).
2*d**2*(d - 2)*(d + 1)
Let q(k) = -6*k**3 - 5*k**2 + 2*k + 1. Let l(c) = -c**3 - c**2 - c - 1. Let h(w) = -w**2 - 4*w. Let f be h(-2). Let o(a) = f*l(a) - 2*q(a). Factor o(r).
2*(r - 1)*(r + 1)*(4*r + 3)
Suppose -4*b + 3*l = -25, b - 2 = -l - 1. Factor -4 - 9*x**2 + 2*x**3 + b*x**3 - 12*x + 3*x**4 + 16.
3*(x - 1)**2*(x + 2)**2
Suppose 9*q = -q - 2*q. Let u(n) be the second derivative of -1/5*n**6 + 1/14*n**7 - 1/2*n**3 + n + 1/2*n**4 + 0 + 0*n**2 + q*n**5. Solve u(w) = 0 for w.
-1, 0, 1
Let h(f) = f**3 - 8*f**2 - 17*f - 6. Let z be h(9). Let q = z - -157/2. Factor -7/4*r + 1/2 + 2*r**2 + 1/4*r**5 - q*r**3 - 1/2*r**4.
(r - 1)**4*(r + 2)/4
Let y(w) = -4*w**3 - 16*w**2 + 2*w + 12. Let p be y(-4). Suppose -3/2*i**p + 0*i**2 + 3/2 - 3*i**3 + 3*i = 0. What is i?
-1, 1
Let f(x) be the third derivative of x**5/420 - x**4/24 + 2*x**3/7 + 5*x**2 - 7. Factor f(n).
(n - 4)*(n - 3)/7
Let d = -698 - -700. Factor 2*n**4 - 13/2*n - 17/2*n**3 + 1 + 12*n**d.
(n - 2)*(n - 1)**2*(4*n - 1)/2
Suppose -8*g + 3*g + 51 = 3*b, -33 = -4*g - 5*b. Let w be ((-1)/g*4)/(4/(-3)). Factor -w*m**3 + 0*m**2 + 0*m + 0.
-m**3/4
Factor -4/7*r**2 - 400/7 - 80/7*r.
-4*(r + 10)**2/7
Let w(o) be the first derivative of -2*o**5/45 + 5*o**4/18 - 14*o**3/27 + o**2/3 + 77. Factor w(v).
-2*v*(v - 3)*(v - 1)**2/9
Let j(h) = 3*h**2 + 0*h**2 - h - 3 - 4*h**2. Let i(u) = 4*u**2 + 3*u + 11. Let x be -3 + (2/(-8))/((-1)/36). Let v(r) = x*i(r) + 22*j(r). Factor v(w).
2*w*(w - 2)
Let k(c) be the second derivative of c**6/75 - 3*c**5/50 - 2*c**4/15 + 4*c**3/5 - 2*c + 12. Factor k(o).
2*o*(o - 3)*(o - 2)*(o + 2)/5
Let p(l) be the second derivative of -11*l**3/3 - 33*l**2 - 22*l. Let w be p(-3). Factor 0*m**2 + w - m**4 - 1/2*m**5 - 1/2*m**3 + 0*m.
-m**3*(m + 1)**2/2
Let p(m) = 3*m**2 + 10*m - 13. Let z be p(-8). Let d = -889/9 + z. Factor -4/9 + d*c**2 - 2/9*c.
2*(c - 2)*(c + 1)/9
Let j(x) be the second derivative of -x**6/5 + 19*x**5/10 - 13*x**4/2 + 29*x**3/3 - 6*x**2 - 86*x. Suppose j(z) = 0. What is z?
1/3, 1, 2, 3
Let o(a) = a - 13. Let b be o(14). Let r(h) = -15*h**3 - 20*h**2 + 15*h. Let q(j) = -j - 1. Let n(i) = b*r(i) - 10*q(i). Factor n(m).
-5*(m - 1)*(m + 2)*(3*m + 1)
Let j = -13/3 + 5. Suppose 28*k - 17*k = 8*k. Factor k - 2/3*z**2 + j*z.
-2*z*(z - 1)/3
Suppose -68 = -5*w + 4*a - a, -2*w = 3*a - 44. Let k = -4 + w. Factor k*u**2 - 9*u**2 + 0 + 0.
3*u**2
Let t be (((-35)/(-15))/(-7)*1)/(-1). Let v be ((-1)/(-15))/(12/60). Factor v*u**5 + 0*u**2 + 0*u - t*u**3 + 0 + 0*u**4.
u**3*(u - 1)*(u + 1)/3
Factor 0 + 0*v**2 - 8/9*v + 2/9*v**3.
2*v*(v - 2)*(v + 2)/9
Suppose -3*o - w + 8 = 30, -2*o - 6 = 5*w. Let c = o - -13. Factor s**5 + 2*s**c + s**4 - 2*s**5.
s**4*(s + 1)
Let c = -13 - -32. Factor -4*r - 22*r**3 + c*r**3 + 0*r + 2*r + 7*r**2.
-r*(r - 2)*(3*r - 1)
Let o(m) be the second derivative of 3*m**5/20 + 109*m**4/4 + 215*m**3/2 + 321*m**2/2 + 18*m. Solve o(a) = 0 for a.
-107, -1
Let f(r) be the second derivative of -4*r**7/21 - 14*r**6/15 - 9*r**5/5 - 5*r**4/3 - 2*r**3/3 - 256*r. Let f(y) = 0. Calculate y.
-1, -1/2, 0
Find s, given that -83*s - 215*s**2 - 60*s**3 + 38*s - 60*s - 51*s**3 - 5*s**4 - 4*s**3 = 0.
-21, -1, 0
Solve -6/7 + 1/7*t**3 - 1/7*t**4 - 1/7*t + t**2 = 0 for t.
-2, -1, 1, 3
Let p(y) be the second derivative of -11*y + 0 + 2/9*y**3 + 1/18*y**4 + 1/3*y**2. Factor p(g).
2*(g + 1)**2/3
Suppose 5*q = 17 + 3. Suppose 5*s = 21 + q. Let s*c - 98*c**5 + 8 - 42*c**4 + 34*c**2 - 47*c - 6*c + 146*c**3 = 0. What is c?
-1, 2/7, 1
Let v(w) be the second derivative of 0 - 1/6*w**4 + 1/4*w**2 + 0*w**3 - 11*w - 1/42*w**7 + 1/20*w**5 + 1/20*w**6. Find q such that v(q) = 0.
-1, -1/2, 1
Solve 0*x**5 + 25*x**2 - 60*x**4 + 89*x**3 + 2*x**5 - 290*x**3 + x**5 - 163*x**2 = 0.
-2, -1, 0, 23
Let w(u) be the second derivative of u**4/9 - 62*u**3/9 + 20*u**2 + 3*u - 9. Factor w(y).
4*(y - 30)*(y - 1)/3
Let x be (-63)/45 + 68/45 - (-33)/189. Find n such that 2/7*n**3 - 16/7*n + x*n**2 - 24/7 = 0.
-2, 3
Let i(v) be the third derivative of 6*v**2 + 1/90*v**5 + 0 - 11/144*v**4 - 1/12*v**3 + 0*v. Factor i(w).
(w - 3)*(4*w + 1)/6
Factor 0 - 1/3*q - 1/3*q**2.
-q*(q + 1)/3
Determine u, given that -37/5*u**2 + 0 - 17/5*u**4 - 6/5*u - 62/5*u**3 + 14/5*u**5 = 0.
-1, -1/2, -2/7, 0, 3
Let j = -83 + 88. Suppose -572*t**5 + 701*t**3 + 1075*t**4 - 400*t - 655*t**2 + 197*t**j - 286*t**3 - 60 = 0. What is t?
-2/5, -1/3, 1, 3
Suppose -3*g = 2*c - 2*g - 7, 2*c + 2*g - 10 = 0. Find j, given that -2*j**c + 0 + 2 - 6*j + 0*j + 6*j**2 = 0.
1/2, 1
Suppose o = 17 + 14. Let s = o + -27. Let w(c) = -2*c**2 + 10*c + 8. Let g(r) = -5*r**2 + 29*r + 23. Let d(k) = s*g(k) - 11*w(k). Factor d(a).
2*(a + 1)*(a + 2)
Let n(a) be the first derivative of a**4/2 - 80*a**3/3 + 113*a**2 - 148*a - 357. Factor n(b).
2*(b - 37)*(b - 2)*(b - 1)
Let w(s) be the first derivative of 2*s**5/35 - 34*s**3/21 - 36*s**2/7 - 40*s/7 - 154. What is l in w(l) = 0?
-2, -1, 5
Suppose 0 = -5*z - 5*c - 5, z - 2*z = -4*c - 14. Factor -20*d**2 - 33*d + 6*d + 33 - 39 - 16*d**z - 12*d**3.
-3*(d + 2)*(2*d + 1)**2
Suppose 4*w + 5*a = 7*w - 6, -3*a = -4*w + 19. Let d be (6/30)/(w/10). Determine b so that 5/7*b**2 + 3/7*b**3 - 1/7*b**5 + 0 + d*b - 1/7*b**4 = 0.
-1, 0, 2
Let z(l) = -l**2 - 2*l - 3. Let d be z(4). Let g = -24 - d. Find q such that 8*q**2 + 5*q**2 - 9*q + g*q**3 - 5*q**2 - 2*q**2 = 0.
-3, 0, 1
Suppose j = -8 + 6. Let p(f) = f**5 - f**4 - f**3 - f**2 + 4*f + 2. Let l(m) = -m**3 + m**2 - m - 1. Let b(w) = j*l(w) - p(w). Let b(a) = 0. Calculate a.
-1, 0, 1, 2
Let s = -236 + 238. Let c(x) be the first derivative of 9/25*x**5 - 2/5*x + 3/4*x**4 - 11/15*x**3 + 2 - 11/10*x**s. Factor c(p).
(p - 1)*(p + 2)*(3*p + 1)**2/5
Let b be 192/(-320) + 13/5. Suppose 8/3*a - 8/3*a**3 + 2 - 4/3*a**b - 2/3*a**4 = 0. Calculate a.
-3, -1, 1
Let y(h) be the first derivative of -h**8/3360 + h**7/420 - h**6/180 - 16*h**3/3 + 10. Let g(t) be the third derivative of y(t). Factor g(f).
-f**2*(f - 2)**2/2
Find n, given that -64 + 17*n - 56*n - 69*n - 8 + 0*n**3 - 40*n**2 - 4*n**3 = 0.
-6, -3, -1
Let a(s) be the third derivative of -1/120*s**6 + 343/6*s**3 + 0*s + 7/20*s**5 - 49/8*s**4 - 14*s**2 + 0. Factor a(j).
-(j - 7)**3
Let j(t) be the second derivative of 1/120*t**4 + 0 + 0*t**3 - 3/2*t**2 - t + 1/75*t**5. Let l(u) be the first derivative of j(u). Solve l(w) = 0 for w.
-1/4, 0
Let r(i) be the third derivative of -i**5/480 - i**4/96 + i**3/6 - 3*i**2 - 1. Factor r(f).
-(f - 2)*(f + 4)/8
Let p = -5806 - -17422/3. Determine d so that -p*d**2 + 1/3*d**3 - d + 6 = 0.
-2, 3
Let q = -3 + 9. Let j = q + -4. What is n in 10 - 28 - 2*n**3 - 6*n + 12*n**2 - j*n**2 = 0?
-1, 3
Let n be (-1)/2*(-780)/2535. What is i in -6/13*i + n*i**2 + 4/13 = 0?
1, 2
Let p(z) be the first derivative of 4*z**3/15 + 3*z**2 + 14*z/5 + 95. Find w, given that p(w) = 0.
-7, -1/2
Let b = -5501/6 - -917. Let l(x) be the second derivative of 0*x**2 - x + b*x**4 + 0 + 1/12*x**3. Factor l(w).
w*(4*w + 1)/2
Let i = 142 + -137. Let o be i*3/135*2. Suppose -o - 8/9*k**2 - 10/9*k = 0. Calculate k.
-1