alculate v.
-8, 2/5
Let y = -10521 - -10523. Factor 1/11*m**4 - 2/11*m**3 + 0 - 7/11*m**y - 4/11*m.
m*(m - 4)*(m + 1)**2/11
Let d(r) = -2*r**2 + 4*r**2 - 21*r**3 - 3*r**2 + 25*r**3 + r. Let h be d(1). Factor -2*f + f + 4*f**h - 5*f**2 - 3*f**4 + f**3 + 4*f.
f*(f - 1)**2*(f + 3)
Let b = 35/4 + -26/3. Let g(z) be the second derivative of 1/12*z**4 + 0*z**2 + 1/84*z**7 - b*z**3 + 0 - 1/30*z**6 + 4*z + 0*z**5. Factor g(l).
l*(l - 1)**3*(l + 1)/2
Let f = 3831 - 3828. Factor 0*w**2 - 1/3*w**f + w + 2/3.
-(w - 2)*(w + 1)**2/3
Let g(y) be the second derivative of -3*y**5/100 - 4*y**4/15 - 7*y**3/30 + 13*y**2/5 + y + 123. Solve g(z) = 0.
-13/3, -2, 1
Factor -2*h**2 + 1 - 5/2*h + 3/2*h**3.
(h - 2)*(h + 1)*(3*h - 1)/2
Suppose g + 6 = 4*c, 7*c - 5*g - 14 = -10. Factor -3/7*w**c + 0*w + 3/7.
-3*(w - 1)*(w + 1)/7
Factor 15*u**3 - 96*u + 530*u**2 + 66 + 39 - 468*u + 265 - 351*u.
5*(u - 1)*(u + 37)*(3*u - 2)
Suppose -6*c = 22*c. Let v(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 1/90*b**5 + c*b**4 + b. Factor v(p).
-2*p**3/9
Let p = 21343/4 + -5335. Determine i, given that -4*i**2 + 3*i + p*i**3 + 4 = 0.
-2/3, 2, 4
Let v be (1 - 2) + (-38)/(-36). Let g(t) be the second derivative of v*t**4 + 0*t**2 - 10*t + 0 + 1/9*t**3 - 1/30*t**5 - 1/45*t**6. Factor g(w).
-2*w*(w - 1)*(w + 1)**2/3
Let o(c) be the first derivative of -2/3*c**3 + 1/6*c**6 - 4/5*c**5 + 0*c**2 + 5/4*c**4 + 0*c + 6. Find w such that o(w) = 0.
0, 1, 2
Suppose 0 = -2*c + 17 - 9, -8 = 5*g - 2*c. Let n(s) be the first derivative of -1/3*s**2 - 4/9*s**3 + g*s - 1/6*s**4 + 1. Factor n(l).
-2*l*(l + 1)**2/3
Let z(r) = r**2 + r - 1. Let m(p) = -45*p**3 + 825*p**2 - 560*p + 105. Let o(k) = m(k) + 15*z(k). Solve o(a) = 0.
1/3, 18
What is q in 132/5 + 40*q**2 - 14/5*q**3 - 518/5*q = 0?
2/7, 3, 11
Let t(k) be the second derivative of -16*k + 0*k**2 + 0 - 1/84*k**7 + 0*k**4 - 1/10*k**5 + 0*k**3 + 1/15*k**6. Factor t(o).
-o**3*(o - 2)**2/2
Let t(w) be the first derivative of 5*w**6/6 - 15*w**5 + 65*w**4/2 + 71. Solve t(a) = 0 for a.
0, 2, 13
Let p be 8/((-8)/7) - -19. Let f(h) be the first derivative of -6*h**2 + 0*h - p - 75/4*h**4 - 20*h**3. Solve f(r) = 0 for r.
-2/5, 0
Let b = 40 - 28. Factor -2*o**4 + 0*o**3 - 18*o - 2*o**2 + b*o + 4 + 5*o**3 + o**3.
-2*(o - 2)*(o - 1)**2*(o + 1)
Let s(x) = -x**3 + 4*x - 4. Let u(v) = -3*v + 3. Let a be 8/4 - 3 - 2. Let f = -3 - 1. Let h(r) = a*s(r) + f*u(r). Factor h(z).
3*z**3
Let y = 4137/1730 + 3/346. Let f be (93/105 - (-4)/(-14))/1. Find a, given that 12/5 + f*a**2 + y*a = 0.
-2
Suppose 18*x - 4*x = 0. Let m(b) be the second derivative of 3/40*b**5 + 0 - 1/16*b**4 + x*b**2 + 0*b**3 + 6*b. Factor m(u).
3*u**2*(2*u - 1)/4
Let b = -29 + 31. Suppose -5*j + 1 = -3*a, 1 + 4 = -5*j + 5*a. Solve 0 - b + 4 - 4 - 2*h**j + 4*h = 0 for h.
1
Let m(c) be the first derivative of c**3/9 + 23*c**2/3 + 529*c/3 - 16. Factor m(y).
(y + 23)**2/3
Let b be 72/112*464/87. Factor 32/7 + b*m + 4/7*m**2.
4*(m + 2)*(m + 4)/7
Factor -48*z**3 - z**5 - 4002*z**4 + 2*z + 3962*z**4 + 288*z**2 - 2*z - 3*z**5.
-4*z**2*(z - 2)*(z + 6)**2
Let h(t) be the second derivative of -t**6/150 + t**5/50 - t**3/15 + t**2/10 + 80*t. Factor h(r).
-(r - 1)**3*(r + 1)/5
Let c(q) be the second derivative of -11*q + 1/21*q**4 + 0 + 4/21*q**3 + 2/7*q**2. Factor c(n).
4*(n + 1)**2/7
Suppose 4*l = -6 + 38. Suppose -9*q = -l*q - 2. Factor -3*z**3 + 0*z**2 + 2*z**4 - 2*z**2 + 4*z**q - z**3.
2*z**2*(z - 1)**2
Let y(t) = 2*t**4 + 2*t**3 - 10*t**2 + 2. Let l(b) = -8*b**4 - 8*b**3 + 43*b**2 - 9. Let p(k) = -2*l(k) - 9*y(k). Factor p(d).
-2*d**2*(d - 1)*(d + 2)
Let l(f) = -f**5 - f**4 + 14*f**3 + 4*f**2 - 25*f - 16. Let i(y) = y**5 - y**4 - y. Let t(m) = 2*i(m) - 2*l(m). Suppose t(w) = 0. What is w?
-2, -1, 2
Let q = -116 - -119. Factor 2*x**2 - 2*x**2 + 35*x + q*x**2 - 29*x.
3*x*(x + 2)
Factor -57/7 + 60/7*a - 3/7*a**2.
-3*(a - 19)*(a - 1)/7
Let x = 320 - 191. Factor 4*i**5 + 157*i**4 + 36*i**2 - x*i**4 - 11*i**3 + 71*i**3.
4*i**2*(i + 1)*(i + 3)**2
Let x(q) be the third derivative of q**7/630 - 4*q**6/135 + 8*q**5/45 + 25*q**3/6 + 26*q**2. Let o(f) be the first derivative of x(f). Factor o(y).
4*y*(y - 4)**2/3
Factor 14/3 + 1/3*j**3 + 4/3*j**2 - 19/3*j.
(j - 2)*(j - 1)*(j + 7)/3
Let k(n) be the third derivative of -n**6/180 + n**5/90 + n**4/18 + 32*n**2. Factor k(m).
-2*m*(m - 2)*(m + 1)/3
Factor -15955*f**2 + 15954*f**2 - 428 + 78*f - 1093.
-(f - 39)**2
Let t(n) = n**3 + 12*n**2 - 14*n + 17. Let f be t(-13). Suppose -3*l - 2*l - b = -45, 4*b = l - f. Let 3*k + 0*k**2 - l*k**2 + 7*k**2 = 0. What is k?
0, 1
Let l be 1/4 - (-7)/4. Factor -1/2*p**4 + 1/2 - 1/2*p**3 - 7/4*p + 2*p**l + 1/4*p**5.
(p - 1)**4*(p + 2)/4
Let h(u) be the first derivative of -2*u**5/5 - u**4 + 8*u**3 - 14*u**2 + 10*u - 15. Determine j, given that h(j) = 0.
-5, 1
Determine z, given that -76/3*z + 64 + 4/3*z**2 = 0.
3, 16
Let u(s) be the second derivative of 64*s**6/15 - 8*s**5/5 - 143*s**4/6 + 6*s**3 + 81*s**2 - 175*s. Factor u(f).
2*(f + 1)**2*(8*f - 9)**2
Let l = -20683/5 - -4143. Factor l*f**2 + 0 + 1/5*f**4 + 2*f**3 + 32/5*f.
f*(f + 2)*(f + 4)**2/5
Let o be 9 + 3/(-1 + -2). Suppose 0*x - o = -4*x. Factor -x*i**2 + 4*i**2 - i**2 + 2*i - 5*i.
i*(i - 3)
Let f(h) be the second derivative of -1/24*h**4 + 0*h**2 - 1/20*h**5 + 0*h**3 - 1/60*h**6 + 9*h + 0. Factor f(m).
-m**2*(m + 1)**2/2
Let n(z) = -7*z**4 - 135*z**3 + 101*z**2 + 251*z + 11. Let x(m) = 3*m**4 + 45*m**3 - 34*m**2 - 84*m - 4. Let p(h) = -4*n(h) - 11*x(h). Factor p(g).
-5*g*(g - 8)*(g - 2)*(g + 1)
Let h(i) = 15*i + 75. Let c be h(-5). Let k = 26/3 + -176/21. Factor 2/7*q**2 - k + c*q.
2*(q - 1)*(q + 1)/7
Let a(k) be the second derivative of -k**7/42 + 3*k**6/10 - 3*k**5/20 - 73*k**4/12 - 16*k**3 - 18*k**2 + 61*k. Factor a(t).
-(t - 6)**2*(t + 1)**3
Let m(n) be the third derivative of 0*n + 7/360*n**6 - 1/36*n**5 + 1/72*n**4 + 0*n**3 - 1/210*n**7 + 0 - 8*n**2. Factor m(g).
-g*(g - 1)**2*(3*g - 1)/3
Let q(b) = b**3 + 8*b**2 + 22*b + 9. Let a(u) = 2*u**3 + 17*u**2 + 43*u + 18. Let r(s) = 3*a(s) - 5*q(s). Suppose r(t) = 0. Calculate t.
-9, -1
Suppose 4*w**5 + 1228*w**3 + 4228*w**2 - 286 + 159*w**4 + 1102*w - 35*w**4 + 2990 + 4722*w = 0. Calculate w.
-13, -2, -1
Let k(g) be the third derivative of -g**5/48 - 515*g**4/96 - 85*g**3/4 - 473*g**2. Factor k(o).
-5*(o + 1)*(o + 102)/4
Determine f so that -7/5*f**4 - 2/5 + f - f**3 + 9/5*f**2 = 0.
-1, 2/7, 1
Let c(u) be the third derivative of -u**8/896 + 2*u**7/35 - 143*u**6/160 + 3*u**5 - 225*u**4/64 + 2*u**2 + 13*u. Determine f, given that c(f) = 0.
0, 1, 15
Let u(r) be the second derivative of r**5/10 + 5*r**4/3 - 8*r**3 - 258*r. Suppose u(k) = 0. Calculate k.
-12, 0, 2
Factor -18/5*n**2 - 22/5*n - 2/5*n**3 + 42/5.
-2*(n - 1)*(n + 3)*(n + 7)/5
Let a(q) be the first derivative of q**3/8 - 3*q**2/8 - 3*q - 74. Solve a(z) = 0 for z.
-2, 4
Let m(x) = 7*x**2 + 4*x + 25. Suppose -4*c = -5*d + 105, -7*c + 22 = d - 8*c. Let g(y) = 20*y**2 + 13*y + 75. Let j(o) = d*m(o) - 6*g(o). Factor j(z).
-(z + 5)**2
Let w be (30/(-40))/((-45)/20). Factor 2/3 + w*j - 1/3*j**2.
-(j - 2)*(j + 1)/3
Let g(l) be the third derivative of -l**8/13440 + l**6/480 + 19*l**5/60 - 23*l**2. Let h(c) be the third derivative of g(c). Factor h(q).
-3*(q - 1)*(q + 1)/2
Let z(f) be the first derivative of f**4 + 35 - 36*f + 30*f**2 - 28/3*f**3. Solve z(i) = 0.
1, 3
Find y such that 34*y**3 + 50*y**4 - 26*y**4 + 72 - 112*y**4 - 12*y + 834*y**3 - 56*y**4 - 1312*y**2 = 0.
-2/9, 1/4, 3
Let o = 689/2 - 327. Let w = -17 + o. Find m such that -1/4*m - 1/4*m**5 + 0 + 0*m**2 + 0*m**4 + w*m**3 = 0.
-1, 0, 1
Let z(o) be the first derivative of -6 - 4/3*o**3 + 1/120*o**6 + 5*o**2 + 0*o - 1/6*o**4 + 1/30*o**5. Let y(p) be the second derivative of z(p). Factor y(a).
(a - 2)*(a + 2)**2
Let r = 120 + -124. Let n be 8/20 + r/(-10). Factor 2/5*o**4 - n*o**2 + 0*o**3 + 2/5 + 0*o.
2*(o - 1)**2*(o + 1)**2/5
Let u(z) be the second derivative of -z**7/7560 + z**6/1080 - 7*z**4/12 + 12*z. Let l(v) be the third derivative of u(v). Factor l(n).
-n*(n - 2)/3
Let u(l) be the second derivative of l**7/14 + 2*l**6/5 - 21*l**5/20 - 5*l**4/2 - 66*l. Solve u(j) = 0 for j.
-5, -1, 0, 2
Factor 3/4*o**2 + 15 - 9*o.
3*(o - 10)*(o - 2)/4
Let x = 27 + -112. Let j = -251/3 - x. Find i such that j*i + 2/3 + 5/6*i**2 + 