 b(q) - 4*y(q). Factor h(n).
-2*(n - 1)*(n + 1)**3*(n + 4)
Let p(k) be the third derivative of k**6/420 + 19*k**5/70 + 10*k**4 + 112*k**3/3 - 2*k**2 + 14*k. Suppose p(y) = 0. What is y?
-28, -1
Let l be (1 + (-26)/20)/((-51)/340*5). Let q be 19/7 + 4/14. Solve -l*j**2 + 0 - 2/5*j**q + 0*j = 0.
-1, 0
Let d(v) = -18*v**2 - 953*v - 717. Let m(i) = -i**2 - i + 6. Let l(x) = -d(x) - 2*m(x). Factor l(n).
5*(n + 47)*(4*n + 3)
Suppose 2*r = 22 - 122. Let k = r - -50. Determine o so that -3/2*o**3 + k*o**2 + 0 + 2*o - 1/2*o**4 = 0.
-2, 0, 1
Let y(l) be the first derivative of 5/6*l**3 + 0*l + 11/8*l**4 + 2/5*l**5 + 3 - 1/2*l**2. Let y(c) = 0. Calculate c.
-2, -1, 0, 1/4
Let s(u) be the third derivative of 0 - 1/35*u**7 + 0*u**4 + 0*u**3 - 5*u**2 - 1/36*u**6 + 1/252*u**8 + 0*u**5 + 0*u. Factor s(c).
2*c**3*(c - 5)*(2*c + 1)/3
Let m be (-2 + 1)*0/(-3 - -2). Let x(z) be the second derivative of 1/6*z**4 + 0*z**3 + m + 3/5*z**5 + 3/5*z**6 - 6*z + 0*z**2. Find p, given that x(p) = 0.
-1/3, 0
Let l(r) be the first derivative of r**3/33 + 15*r**2/22 - 16*r/11 + 162. Factor l(b).
(b - 1)*(b + 16)/11
Let c(z) be the second derivative of -z**5/60 + z**4/6 - 5*z**3/18 + 79*z + 1. Factor c(q).
-q*(q - 5)*(q - 1)/3
Let u(k) be the first derivative of 1/3*k**2 - 9 - 11/9*k**3 + 0*k - 7/15*k**5 + 4/3*k**4. Suppose u(l) = 0. Calculate l.
0, 2/7, 1
Factor -18*f + 3*f**2 - 2*f**2 - f**2 + 2*f**2 - 9 + 37.
2*(f - 7)*(f - 2)
Factor -3*t**3 + 4*t + 4*t**2 + 6*t + 0*t**2 + 4*t**3 - 3*t**3 - 12.
-2*(t - 3)*(t - 1)*(t + 2)
Let c(w) be the second derivative of 7/16*w**4 - 49/16*w**3 + 0 - 21*w + 0*w**2 - 3/160*w**5. Factor c(q).
-3*q*(q - 7)**2/8
Suppose 0*j = 6*j - 18. Suppose -2 - 35*v**3 + 5*v**4 + 2 + 25*v**j = 0. What is v?
0, 2
Suppose 0 = -n + m + 11, 6*m - 12 = 3*m. Solve -40*a - a**2 + 110*a**4 + 191*a**2 + 630*a**3 - n*a**5 - 875*a**3 = 0 for a.
0, 1/3, 1, 2, 4
Let i(v) be the second derivative of -v**4/24 - v**3/9 + v**2/3 - 82*v. Factor i(j).
-(j + 2)*(3*j - 2)/6
Let q be (-8)/12 - (-246)/45. Let w = 9 - q. Suppose 39/5*k**3 + 9*k**2 + 3/5 + 12/5*k**4 + w*k = 0. Calculate k.
-1, -1/4
Let p(b) = 8*b + 106. Let f be p(-13). Let d(r) be the second derivative of -2/3*r**3 - 1/6*r**4 - r**2 - f*r + 0. Suppose d(u) = 0. What is u?
-1
Let o(l) be the third derivative of -l**6/8 + 7*l**5/10 + 3*l**4/8 - 40*l**2 - 2*l. Factor o(z).
-3*z*(z - 3)*(5*z + 1)
Let c(g) = 23*g**2 - 25*g + 35. Let m(r) = 8*r**2 - 8*r + 12. Let u(f) = -4*c(f) + 11*m(f). Factor u(p).
-4*(p - 2)*(p - 1)
Let o be 12/(-42)*(9 + (-583)/22). Factor -1/6*f + 0*f**3 + 1/6*f**o + 0 + 1/3*f**2 - 1/3*f**4.
f*(f - 1)**3*(f + 1)/6
Let p(v) be the third derivative of -v**5/60 + 3*v**4/8 + 5*v**3/3 + 3*v**2 - 11*v. Factor p(w).
-(w - 10)*(w + 1)
Let p(q) be the first derivative of -7*q**4 + 124*q**3/3 + 124*q**2 + 96*q - 53. Factor p(v).
-4*(v - 6)*(v + 1)*(7*v + 4)
Suppose -5*k - 3 = 2*h, -4*k = -4*h - 6*k + 2. Let d be 0*(3/h)/6*-1. Solve -1/4*u**3 + 0*u**2 + d*u + 0 + 1/4*u**4 = 0 for u.
0, 1
Let c be 13/5 - (-6)/15. Let m(r) be the first derivative of -12/5*r**5 - 8*r**4 - 28/3*r**c - 4*r**2 + 0*r - 7. Let m(a) = 0. What is a?
-1, -2/3, 0
Let 2*i**5 - 91*i**4 + 13*i**5 - 4*i**4 + 170*i**3 - 20*i**2 - 120*i = 0. Calculate i.
-2/3, 0, 2, 3
Let a(m) = -m**3 + 6*m**2 + 8*m - 3. Let r be a(7). Suppose 5*v + 4*b = 27, 2*v - r*b + 6 = -0*b. Determine o so that 48/5*o**2 + 27/5*o**v - 6/5 + 3*o = 0.
-1, 2/9
Suppose -2*m = m - 69. Suppose m*v - 26*v + 9 = 0. Let 21*h**3 - 19*h**v + 4*h**5 + 10*h**4 - 3*h**4 - h**2 = 0. Calculate h.
-1, 0, 1/4
Factor 104/9*s - 154/3*s**2 + 8/9.
-2*(7*s - 2)*(33*s + 2)/9
Let r(m) = m**2 - 3*m - 2. Let i be r(4). Suppose 4*n + 5*s = -0*n + 52, 3*n = -3*s + 36. Factor -d**2 + i*d**2 + 8 - 4*d**2 + 5*d**2 - n*d.
2*(d - 2)**2
Let s(n) be the second derivative of -1/9*n**7 + 0*n**3 - 1/9*n**4 + 0*n**2 + 2/45*n**6 + 0 + n + 7/30*n**5. Determine h so that s(h) = 0.
-1, 0, 2/7, 1
Let y(z) be the second derivative of -7/45*z**6 + 13/9*z**3 + 0 - 3/2*z**4 + 26*z - 2/3*z**2 + 23/30*z**5. Factor y(s).
-2*(s - 1)**3*(7*s - 2)/3
Let z(d) = -2*d**3 - 267*d**2 - 4860*d - 29166. Let i(b) = b**3 + b**2 - 2. Let c(u) = 3*i(u) - z(u). Factor c(j).
5*(j + 18)**3
Let m(t) = -t**2 + 3*t + 1. Let p be m(2). Factor p + h**4 - 3*h**2 + 2*h**4 - 3*h**2.
3*(h - 1)**2*(h + 1)**2
Let z(l) = -l**2 - 13*l - 5. Let d be z(-13). Let u = d - -9. Factor -u + 8*f + 0 - 6*f**3 + 8*f**2 + 0*f**3 + 2*f.
-2*(f - 2)*(f + 1)*(3*f - 1)
Let n = -36 - -38. Let -33*d + 144 - 37*d + 5*d**n - 51 + 152 = 0. Calculate d.
7
Let w(i) be the second derivative of 0*i**3 - 1/4*i**4 + 0*i**2 + 0 - 27*i + 1/40*i**5. Factor w(m).
m**2*(m - 6)/2
Find u, given that 32*u**3 - 2*u**4 + 0*u**4 - 10*u**3 + 5*u**4 + 2*u**3 + 21*u**2 = 0.
-7, -1, 0
Let x be -20 + 19 - (-1 - 576). Find p such that -4*p**2 + 9*p**2 + 96*p - p**2 + x = 0.
-12
Let n(q) be the third derivative of -1/16*q**3 - 1/560*q**7 + 0 - 22*q**2 + 1/64*q**4 - 1/160*q**6 + 1/896*q**8 + 1/80*q**5 + 0*q. Factor n(r).
3*(r - 1)**3*(r + 1)**2/8
Let d(o) be the third derivative of o**10/50400 - o**8/1680 + 11*o**5/20 + 15*o**2. Let f(m) be the third derivative of d(m). Suppose f(k) = 0. Calculate k.
-2, 0, 2
Suppose -26*i + 17 = -87. Let l(d) be the second derivative of 0 + 0*d**3 - d**2 + 7*d + 1/6*d**i. Factor l(s).
2*(s - 1)*(s + 1)
Suppose -84 = -11*x + 7*x. Let j = x - 19. What is w in 20*w**2 + 4*w**3 - 5*w**2 - 11*w**j = 0?
-1, 0
Factor -1/3*y**4 + 2*y**3 + 3 - 2*y - 8/3*y**2.
-(y - 3)**2*(y - 1)*(y + 1)/3
Find n, given that -26/7*n - 48/7*n**4 + 44/7*n**2 + 8/7*n**3 + 4/7 + 18/7*n**5 = 0.
-1, 1/3, 1, 2
Let p(w) be the third derivative of w**6/120 - 5*w**5/12 + 47*w**4/24 - 23*w**3/6 - 6*w**2 + 2*w. Factor p(d).
(d - 23)*(d - 1)**2
Let c(n) = n + 17. Let u be ((-44)/33)/((-2)/(-21)). Let g be c(u). Factor -3*y**g - 3*y + 9*y**2 + 3 + 2*y - 8*y.
-3*(y - 1)**3
Factor 3031*l**3 - 871*l**3 + 84*l**4 + 14202*l**2 + 6075 - 9*l**4 + 1350*l - 20790*l.
3*(l + 15)**2*(5*l - 3)**2
Let c(x) = -2261*x + 2261*x + 9*x**2. Suppose -2*q - 3 - 7 = 4*l, 4 = 4*l. Let t(y) = 10*y**2 - y. Let f(j) = q*c(j) + 6*t(j). Let f(m) = 0. Calculate m.
-2, 0
Let d(w) = 6*w**3 + 21*w**2 - 48*w + 21. Let q(s) = 11*s**3 + 41*s**2 - 95*s + 43. Let n(j) = 5*d(j) - 3*q(j). Solve n(y) = 0.
-8, 1
Let g be (-43)/129 + 6 + 2 + -7. Factor 0*b**3 + 2/9*b**4 + 0 - g*b**2 + 4/9*b.
2*b*(b - 1)**2*(b + 2)/9
Let w = 1473 + -2945/2. Factor 0 + 0*u - 2*u**3 - 2*u**2 - w*u**4.
-u**2*(u + 2)**2/2
Let q be 6*8/(-144)*(-4)/6. Let r(b) be the first derivative of 4/9*b - 6 + 1/27*b**3 + q*b**2. Find z, given that r(z) = 0.
-2
Suppose -2*h - x = 3*h - 37, -3*h = x - 23. Let u be h*(0 + 2/7). Factor 108*z - 108 - 19*z**u + 5*z**3 - z**3 - 17*z**2.
4*(z - 3)**3
Let k(q) be the first derivative of 2 + 3/8*q**2 - 3/8*q**5 - 3/2*q**3 + 21/16*q**4 + 3/8*q. Factor k(b).
-3*(b - 1)**3*(5*b + 1)/8
Suppose -3*x - 2*s = s, x + 3*s = 0. Suppose -2*k + 5*c = -x*k - 15, -3*c = -k + 9. Factor -3*g**2 + 3*g**2 + g**2 + k*g - g.
g*(g - 1)
Determine u so that -122/11*u + 0 + 1/11*u**2 = 0.
0, 122
Let 675/7 - 3/7*z**3 + 93/7*z**2 - 765/7*z = 0. What is z?
1, 15
Let n(p) = p**2 - 10*p + 9. Let f(a) = a**3 + 4*a**2 - 3*a - 2. Let w be f(-4). Let r be n(w). Find m, given that 2 + r*m + 3 + 1 + 3*m**2 = 0.
-2, -1
Let p(t) = 1261*t - 1256. Let j be p(1). Factor -3/8*i**2 - 3/8*i**j - 3/2 + 15/8*i**3 - 3*i + 3/8*i**4.
-3*(i - 2)**2*(i + 1)**3/8
Let v(u) = 2*u + 20. Let h be v(-9). Suppose 3*p - 9 = i, -i + 9 = h*p + 3. Factor -13*f**5 - f**4 + 5*f**2 - 4*f**4 + p*f**5 + 5*f**5 + 5*f**3.
-5*f**2*(f - 1)*(f + 1)**2
Let b(k) be the second derivative of 0 - 22*k + 0*k**2 + 5/3*k**3 - 1/6*k**4. Factor b(a).
-2*a*(a - 5)
Let j be (2 + 0)/(1 + -3 - 110/(-15)). Factor 3/8*h**3 - 9/8 - 15/8*h - j*h**2.
3*(h - 3)*(h + 1)**2/8
Let g(r) be the second derivative of 9/10*r**5 + 0*r**2 + 0 + 1/3*r**3 - r**4 - 12*r - 4/15*r**6. Suppose g(b) = 0. What is b?
0, 1/4, 1
Solve 15*z**3 + 5*z**5 + 5*z**2 - 20*z - 29*z**4 + 49*z**4 - 25*z**2 = 0 for z.
-2, -1, 0, 1
Let b = -5 + 7. Let f(c) be the second derivative of -b*c**2 + 1/10*c**5 - c**3 + 0 - 2*c + 0*c**4. Factor f(d).
2*(d - 2)*(d + 1)**2
Let f(c) be the second derivative of c**5/10 - c**4/6 - c**3/3 + c**2 - 9*c - 6. Suppose f