ve of 2/7*n - 1/14*n**4 - 5 - 2/21*n**3 + k*n**2. Factor t(g).
-2*(g - 1)*(g + 1)**2/7
Let u(g) be the second derivative of -g**5/4 + 55*g**4/6 + 40*g**3/3 - 880*g**2 - 2*g + 474. Factor u(p).
-5*(p - 22)*(p - 4)*(p + 4)
Let q(c) be the third derivative of 9*c**2 - 2/105*c**7 + 0*c + 0 - 1/6*c**6 + 0*c**4 - 1/5*c**5 + 0*c**3 + 1/84*c**8. Factor q(u).
4*u**2*(u - 3)*(u + 1)**2
Let l be (2 - 5) + (3 - 0) + 4. Factor 65*b**4 - 172*b + 64 - 41*b**l + 164*b**2 + 69*b - 313*b + 164*b**3.
4*(b - 1)*(b + 4)**2*(6*b - 1)
Let c(v) be the third derivative of -v**8/4032 - v**7/168 + 7*v**6/144 + 26*v**5/15 + 39*v**2 + 3. Let d(g) be the third derivative of c(g). Factor d(w).
-5*(w - 1)*(w + 7)
Let h(f) = -29*f - 2 + 43*f - 7*f**2 - 44*f. Let x be h(-4). What is b in 0 + 15/4*b**3 + 3*b - 3/4*b**4 - x*b**2 = 0?
0, 1, 2
Let h(v) = -149*v - 46. Let s be h(-2). Let t = -249 + s. Factor -6/17*j**t - 6/17*j**2 + 0 - 2/17*j - 2/17*j**4.
-2*j*(j + 1)**3/17
Let f(p) = -290 + 92 - 13*p + p**3 + 92 - 15*p**2 + 60. Let m be f(16). Suppose 0 - 3/5*c**m - 3/5*c = 0. Calculate c.
-1, 0
Let k(z) be the second derivative of z**6/105 + 23*z**5/70 + 11*z**4/21 + 1573*z. Determine p so that k(p) = 0.
-22, -1, 0
Let t be (-81)/(6561/(-4806)) + 2*-5 + 0. Determine x, given that t*x**2 - 140/3*x - 8/3 = 0.
-2/37, 1
Suppose -63*d + 68*d - 145 = 0. Factor 13*x**2 - d*x**2 + 8*x**2 + 4*x**2 - 56 + 36*x.
-4*(x - 7)*(x - 2)
Let k(x) = -2*x**2 - 50*x - 46. Let b(f) = -2*f**2 - 5*f + 39. Let v be b(-7). Let o be k(v). Factor -2/11*u**3 + 6/11*u**o + 2/11 - 6/11*u.
-2*(u - 1)**3/11
Let a(g) = g**3 - 4*g**2 + 4*g - 2. Let n be a(4). Factor n*q + 14*q - 24*q**2 + 4*q**3 - 3*q**3 - 5*q**3.
-4*q*(q - 1)*(q + 7)
Let w(y) be the first derivative of -4*y**5/5 + 20*y**4 - 296*y**3/3 - 424*y**2 - 468*y - 426. Find r such that w(r) = 0.
-1, 9, 13
Factor 2/21*p**2 - 608/7 - 908/21*p.
2*(p - 456)*(p + 2)/21
Suppose 45*h = 41*h - 12. Let i(p) = 9*p**3 + 69*p**2 + 1084*p + 1024. Let k(j) = 7*j**3 + 68*j**2 + 1085*j + 1024. Let u(d) = h*i(d) + 4*k(d). Factor u(m).
(m + 1)*(m + 32)**2
Let p(u) be the second derivative of u**5/50 - 2*u**4/5 + 4*u**3/3 + 19*u - 40. Factor p(r).
2*r*(r - 10)*(r - 2)/5
Suppose -250/11*c + 300/11 + 2/11*c**3 - 52/11*c**2 = 0. What is c?
-5, 1, 30
Let s(b) be the third derivative of b**7/315 + b**6/18 + 13*b**5/90 - 2*b**4/3 - b**2 + 51*b. Let s(h) = 0. Calculate h.
-8, -3, 0, 1
Let g(i) = -25*i**2 + 85*i + 975. Let u(t) = t**2 - 3*t - 36. Let s(h) = -2*g(h) - 55*u(h). Solve s(w) = 0.
-3, 2
Factor 68/7*f + 4/7*f**2 - 552/7.
4*(f - 6)*(f + 23)/7
Suppose -21 = 3*b - 5*f, -7*f = -3*f - 24. Let p(s) be the second derivative of 0*s**2 - 8*s + 1/10*s**b + 0 + 1/20*s**4. Let p(r) = 0. Calculate r.
-1, 0
Let m(b) be the first derivative of -b**8/168 - b**7/70 + 2*b**6/45 - 160*b**3/3 + 26. Let d(j) be the third derivative of m(j). Solve d(s) = 0 for s.
-2, 0, 4/5
Let c(f) be the second derivative of 2/13*f**4 + 0 - 12/13*f**3 - 21*f - 1/65*f**6 + 16/13*f**2 + 11/130*f**5. What is s in c(s) = 0?
-2, 2/3, 1, 4
Let n(g) = -g**2 - 3*g. Let d(s) = s**2 + 4*s. Let x(z) = -z**2 - 14*z - 42. Let i be x(-6). Suppose -5*a + 11 = -9. Let b(h) = a*d(h) + i*n(h). Factor b(v).
-2*v*(v + 1)
Let n(d) be the second derivative of d**8/2240 - d**7/420 - d**4/4 + 7*d**3/6 - 25*d - 1. Let t(v) be the third derivative of n(v). Let t(z) = 0. What is z?
0, 2
Suppose -21468 + r**5 + 3*r**5 - 2619*r - 1564*r**2 - 1333*r + 972*r**3 - 116*r**4 + 29580 = 0. What is r?
-2, 2, 3, 13
Let q(x) = -3*x - 34. Suppose 2*d + 39 = -5*m, -4*d - 3*m = d + 69. Let j be q(d). What is u in 1/5*u**j - 4/5*u**3 + 0*u - 1/5*u**4 + 4/5*u**5 + 0 = 0?
-1, 0, 1/4, 1
Let p = -26080 + 26085. Let f(b) be the first derivative of 27 + 96/11*b + 9/11*b**4 + 6/55*b**p + 2/11*b**3 - 72/11*b**2. Factor f(n).
6*(n - 1)**2*(n + 4)**2/11
Suppose 0 = -l + 3*t + 2 + 20, 0 = l - 4*t - 22. Let r be (55/l + (-1)/2)*1. Factor 16/3*k - 32/3 - 2/3*k**r.
-2*(k - 4)**2/3
Let y(b) be the first derivative of 7/24*b**4 - 21/2*b**2 + 0*b + 13 - 1/60*b**5 + 0*b**3. Let u(h) be the second derivative of y(h). Factor u(p).
-p*(p - 7)
Let x(r) be the second derivative of -r**4/30 - 371*r**3/15 + 1055*r. Factor x(n).
-2*n*(n + 371)/5
Suppose -l - 28 = -3*b, -1 - 1 = b. Let m = l - -31. Let s(c) = c - 1. Let y(u) = 5*u**3 - 10*u**2 - 2*u + 7. Let n(t) = m*s(t) + y(t). What is g in n(g) = 0?
-1, 1, 2
Factor -5 + 5 + 120*p**2 - 1171*p**4 + 1166*p**4 - 25*p**3.
-5*p**2*(p - 3)*(p + 8)
Suppose -314 = -9*z - 215. Suppose 2*w - z*k + 13*k = 4, 4*w + 8 = 4*k. Find v, given that w + 2/5*v + 1/5*v**2 = 0.
-2, 0
Let o(k) be the first derivative of k**5/80 - k**3/2 - 3*k**2/2 + 8*k + 44. Let i(t) be the second derivative of o(t). Let i(c) = 0. What is c?
-2, 2
Let x(y) be the first derivative of -2*y**6/45 - 14*y**5/75 - 2*y**4/15 + 14*y**3/45 + 2*y**2/5 - 1655. Find r, given that x(r) = 0.
-2, -3/2, -1, 0, 1
Let t(m) be the first derivative of m**5/2 + 19*m**4/3 - 16*m**3/3 + 9*m + 162. Let g(x) be the first derivative of t(x). Factor g(h).
2*h*(h + 8)*(5*h - 2)
Let q(a) = -3*a**2 - 12*a - 24. Let o be (-8)/(-18) - 8/(576/1256). Let c(b) = -8*b**2 - 35*b - 72. Let w(f) = o*q(f) + 6*c(f). Find r such that w(r) = 0.
-2, 4
Let i(r) be the second derivative of 1/3*r**3 + 0*r**4 + 0*r**2 - 1/10*r**5 + 287*r + 0. Factor i(u).
-2*u*(u - 1)*(u + 1)
Let s(m) be the first derivative of -5*m**8/168 + 44*m**7/315 + m**6/36 - m**5/15 - 106*m**2 + 42. Let w(p) be the second derivative of s(p). Solve w(a) = 0.
-2/5, 0, 1/3, 3
Let p(t) be the second derivative of -t**5/120 - t**4/8 - t**3/2 - 12*t + 1. Find f such that p(f) = 0.
-6, -3, 0
Let y(v) = -v**4 + 2*v**3 - 2*v**2 + v. Let z(g) = 3*g**5 + 52*g**4 + 352*g**3 + 662*g**2 + 389*g. Let o(q) = -5*y(q) + z(q). Factor o(i).
3*i*(i + 1)*(i + 2)*(i + 8)**2
Let a(b) be the second derivative of -b**6/210 + 47*b**5/140 - 26*b**4/3 + 266*b**3/3 - 180*b. Solve a(w) = 0 for w.
0, 14, 19
Let w = -523 - -525. Suppose 4*b - 5*n + 2*n = 16, -4*n = -3*b + 12. Factor 0*c + 3/4*c**b + 3/4*c**w - 3/2*c**3 + 0.
3*c**2*(c - 1)**2/4
Let z(n) be the third derivative of -n**6/420 - 97*n**5/210 - 367*n**4/84 + 155*n**3/7 - 481*n**2 + 2. Solve z(t) = 0.
-93, -5, 1
Suppose 5*h - 123 - 122 = 0. Let i = h - 41. Factor i - 3 + 3*k**2 - 5.
3*k**2
Let v be 27/4 + 7/84*-9. Let m be ((-4)/(-7))/(v/21). Solve 59*x**2 + 9*x - 16*x**3 + x**4 + 10 - 23*x**m - 41*x + x**4 = 0.
1, 5
Let o be (19 - 492/24)/(1185/(-2520) + 4/42). Let 22/5*s**2 - 2/5*s**3 - 24/5*s + 8/5 - 6/5*s**o + 2/5*s**5 = 0. Calculate s.
-2, 1, 2
Suppose 99*m = 82*m + 17. Let v be (-2170)/(-3570) - m/(-17). Factor -8/9 - 1/9*y**2 + v*y.
-(y - 4)*(y - 2)/9
Suppose -5*j - 5*y = -y - 163, -y + 95 = 3*j. Determine b so that 12*b + 4*b**3 - 58*b**2 + 152*b**2 + 35*b**3 - 90*b**4 - 24*b**5 - j*b**2 = 0.
-4, -1/2, -1/4, 0, 1
Let o be (-17 + -300)/(2/(-4)). Let r = o - 634. Suppose -9/4*n - 3/4*n**2 + r = 0. Calculate n.
-3, 0
What is q in -80*q**2 + 1/4*q**4 + 0*q + 0 - 79/2*q**3 = 0?
-2, 0, 160
Let c(z) be the third derivative of z**7/315 + 563*z**6/45 + 316969*z**5/15 + 178453547*z**4/9 + 100469346961*z**3/9 + 2093*z**2. Find p, given that c(p) = 0.
-563
Let m(j) be the third derivative of j**5/12 - 275*j**4/24 - 1095*j**3 - 432*j**2 - j. Suppose m(n) = 0. Calculate n.
-18, 73
Let y(m) be the third derivative of -15/2*m**3 - 29/8*m**4 - 13/20*m**5 + 11*m + 3*m**2 + 0 + 1/40*m**6. Factor y(o).
3*(o - 15)*(o + 1)**2
Let i(t) be the second derivative of 1/24*t**4 - 3/4*t**2 - 45*t + 1/6*t**3 + 0. Factor i(l).
(l - 1)*(l + 3)/2
Suppose -1/4*c**5 + 75*c + 65/4*c**2 - 71/4*c**3 + 15/4*c**4 - 125 = 0. What is c?
-2, 2, 5
Factor 9*i**3 - 15*i**3 + 10*i**2 + 9*i**3 + 11*i**2 - 108.
3*(i - 2)*(i + 3)*(i + 6)
Let i(k) be the second derivative of 1 - 53*k + 1/2*k**3 - 18*k**2 + 1/4*k**4. Find v, given that i(v) = 0.
-4, 3
Let o(v) be the first derivative of -88*v**3 - 108*v - 315/2*v**2 + 34 - 12*v**4. Factor o(a).
-3*(a + 4)*(4*a + 3)**2
Let v be 5 - (-5 + (-1626)/(-114)) - -1. Let j = v - -586/133. Factor 24/7*p**2 + 0 - 26/7*p**3 + 12/7*p**4 - 2/7*p**5 - j*p.
-2*p*(p - 2)**2*(p - 1)**2/7
Let v(b) = 14*b**3 - 210*b**2 + 1738*b - 1726. Let i(f) = -5*f**3 + 70*f**2 - 572*f + 576. Let r(g) = 8*i(g) + 3*v(g). Factor r(l