 588*z. Factor o(q).
3*(q - 1)*(q + 3)
Let g(b) be the first derivative of -b**4/40 + 46*b**3/15 - 2021*b**2/20 - 2209*b/5 - 1514. Factor g(w).
-(w - 47)**2*(w + 2)/10
Let r be 2655/(-413) + 7*1. Let f(p) be the second derivative of 1/35*p**5 - 2/21*p**3 - 17*p + 2/21*p**4 + 0 - r*p**2. Factor f(o).
4*(o - 1)*(o + 1)*(o + 2)/7
Let g(l) be the first derivative of 5*l**6/6 + 3*l**5 - 15*l**4/4 - 35*l**3/3 + 15*l**2 + 4248. Factor g(o).
5*o*(o - 1)**2*(o + 2)*(o + 3)
Let z(s) be the second derivative of -s**6/10 + 33*s**5/20 + s**4 - 22*s**3 - 60*s + 1. Solve z(j) = 0 for j.
-2, 0, 2, 11
Let b(c) be the first derivative of c**6/2 + 108*c**5/5 + 201*c**4/2 + 196*c**3 + 387*c**2/2 + 96*c + 456. Factor b(u).
3*(u + 1)**4*(u + 32)
Let q(j) be the second derivative of -j**4/48 - 455*j**3/24 + 57*j**2 - 42*j - 58. Factor q(s).
-(s - 1)*(s + 456)/4
Let 40 - 82/3*j**2 + 26/3*j**4 + 22*j**3 - 128/3*j - 2/3*j**5 = 0. What is j?
-2, 1, 15
Suppose -2*t + 3*p + 5 = -21, -4*t = 5*p - 74. Suppose z = 9*z - t. Factor 2*w**5 + 2*w**4 + 0*w - 4*w**3 + w**5 - 3*w - 2*w**z + 4*w.
w*(w - 1)*(w + 1)**2*(3*w - 1)
Determine l so that -501*l**2 - 339889 - 505*l**2 - 507*l**2 - 1166*l + 2014*l**2 - 502*l**2 = 0.
-583
Suppose b + 2*l - 52 = 0, 3*b + 3*l - 4 - 155 = 0. Let j be 228/760 + b/20. Solve 8/9 - 56/9*i**4 - 4/9*i + 88/9*i**j - 16/3*i**2 + 4/3*i**5 = 0.
-1/3, 1, 2
Let g = -239 + 241. Let 6*d - d**g + 15 + 14 - 11*d - 5 = 0. Calculate d.
-8, 3
Factor 5/6*c**4 - 5/6*c**2 + 85/6*c - 25/6*c**3 + 10.
5*(c - 4)*(c - 3)*(c + 1)**2/6
Let t(h) be the first derivative of h**3/7 + 1830*h**2/7 + 1116300*h/7 + 1551. Suppose t(q) = 0. Calculate q.
-610
Let m(i) be the first derivative of 25/9*i**3 + 277 + 1/3*i**4 + 17/3*i + 19/3*i**2. What is v in m(v) = 0?
-17/4, -1
Let -20*r**3 + 424 + 1084*r**2 + 121 - r**5 + 355 - 28*r**3 - 1905*r - 24*r**4 - 6*r**3 = 0. Calculate r.
-15, 1, 4
Let o(j) be the first derivative of -1593*j**5/40 - 93*j**4/2 - 71*j**3/4 - 3*j**2/2 - 99*j - 171. Let d(l) be the first derivative of o(l). Factor d(c).
-3*(3*c + 1)**2*(59*c + 2)/2
Let m(q) be the third derivative of 4*q**5/15 + 14*q**4 + 294*q**3 + 2076*q**2. Factor m(b).
4*(2*b + 21)**2
Let h be ((-4)/200)/((-29)/1160*5/3). Let s(i) be the first derivative of -2 + 7/5*i**3 - 3/5*i**2 - h*i**5 - 3/5*i**4 + 0*i. What is k in s(k) = 0?
-2, 0, 1/2
Let a(h) be the third derivative of -h**5/12 - 115*h**4/24 + 520*h**3 + 30*h**2 - 53*h. Suppose a(c) = 0. What is c?
-39, 16
Let i = 392/645 - 1/129. Let c = -1155 - -1155. What is b in -i*b + c + 3/5*b**2 = 0?
0, 1
Suppose -q - 3*o - 36 + 30 = 0, 4*q - 5*o - 95 = 0. Let a(p) be the first derivative of -5/3*p**3 - 10*p**2 - 6 - q*p. Find u such that a(u) = 0.
-3, -1
Let v = 22 + 1. Let p = -20 + v. Let -3*m**3 - m**3 + m**p = 0. Calculate m.
0
Let c(a) = -7*a**2 - 15*a + 6. Let r(b) = 6*b - 87. Let q be r(21). Let w(o) = 44*o**2 + 89*o - 36. Let d(k) = q*c(k) + 6*w(k). Factor d(t).
-3*(t + 6)*(3*t - 1)
Let c be -508 + 514 + 1*-9 + 32/10. Find l such that c*l**2 - 6 - 1/5*l = 0.
-5, 6
Let c = -58 - -58. Suppose c = 10*o - 41 - 9. Suppose o*q**2 - 2*q**2 + 61 + 3*q**3 - 15*q - 52 = 0. What is q?
-3, 1
Find l such that 93*l + 5*l**3 + 2327*l + 203*l**2 + 17*l**2 = 0.
-22, 0
What is n in 9/2 + 5*n**2 - 1/4*n**3 - 37/4*n = 0?
1, 18
Find c, given that 192/5*c + 2/5*c**2 - 194/5 = 0.
-97, 1
Let t = 79447/2 + -39723. Factor 13/2*o**2 - 6*o + 2 + t*o**4 - 3*o**3.
(o - 2)**2*(o - 1)**2/2
Let y(i) = -45*i**3 + 97*i**2 + 271*i + 324. Let f(r) = 7*r**3 - 16*r**2 - 47*r - 54. Let k(z) = -39*f(z) - 6*y(z). Factor k(q).
-3*(q - 18)*(q + 1)*(q + 3)
Let s(m) = 8*m**4 + 10*m**3 - 43*m**2 - 6*m - 12. Let x(q) = 8*q**4 + 12*q**3 - 42*q**2 - 3*q - 10. Let k(a) = -5*s(a) + 6*x(a). Factor k(i).
i*(i + 4)*(2*i - 1)*(4*i - 3)
Let y(b) = -6*b**4 + 18*b**3 + 142*b**2 + 307*b + 223. Let t(m) = m**4 + m**3 - m - 1. Let l(h) = 35*t(h) + 5*y(h). Factor l(d).
5*(d + 2)**2*(d + 3)*(d + 18)
Let k(z) be the second derivative of -1/80*z**5 + 1/2*z**3 - 79*z + 0 + 2*z**2 + 0*z**4. Factor k(q).
-(q - 4)*(q + 2)**2/4
Let j(f) = -4*f**4 - 58*f**3 + 30*f**2 + 32*f. Let n(a) = 3*a**4 + 39*a**3 - 21*a**2 - 21*a. Let y(b) = -9*j(b) - 13*n(b). Let y(r) = 0. Calculate r.
-1, 0, 1, 5
Let x be 5/((-4)/(-14)*(-1)/(-2)). Suppose -7*k = -21 - x. Factor 0*m + 27*m**2 + k + 28*m**2 - 59*m**2 - 4*m.
-4*(m - 1)*(m + 2)
Factor -65*j**3 + 3*j**5 + 137224*j + 100*j**4 + 46*j**2 - 48*j**5 - 36*j**2 - 137224*j.
-5*j**2*(j - 1)**2*(9*j - 2)
Let s be -1 + 1 + -8 + -2 + 13. Let n(d) = -7*d**2 - d - 6. Let i(p) = -5*p**2 - 2*p - 5. Let f(m) = s*i(m) - 2*n(m). Factor f(c).
-(c + 1)*(c + 3)
Let h be 380/(-3420) + 482/(-36) + (14 - -1). Determine s, given that -1/4*s**2 - h - 5/4*s = 0.
-3, -2
Let 1315*y**2 + 52*y - 4*y**3 - 2637*y**2 + 48 + 2*y**3 + 1324*y**2 = 0. What is y?
-4, -1, 6
Let o(v) be the third derivative of v**5/75 + 451*v**4/30 - 604*v**3/5 + 484*v**2. Factor o(q).
4*(q - 2)*(q + 453)/5
Let g(o) be the third derivative of -o**5/80 + 301*o**4/32 - 299*o**3/4 + 6018*o**2. Factor g(h).
-3*(h - 299)*(h - 2)/4
Suppose -3*t = 5*x + 9, 2*t + 6*x + 5 = -9. Suppose -7*q = -4*q - 3576. Suppose i**5 - t*i**3 - q*i**2 + 1192*i**2 + i = 0. Calculate i.
-1, 0, 1
Find m such that -508/3*m - 4/3*m**4 + 334/3*m**2 + 80 - 62/3*m**3 = 0.
-20, 1, 3/2, 2
Let i = -72073 - -72075. Factor 4/7 - 2/21*t**i - 2/21*t.
-2*(t - 2)*(t + 3)/21
Let z(i) = -i**4 + i**3 - i + 1. Let b(s) = s**5 - 3*s**4 + 2*s**3 - 3*s + 3. Suppose 24*n = 26*n - 4. Let y(x) = n*b(x) - 6*z(x). Factor y(u).
2*u**3*(u - 1)*(u + 1)
Let p(q) be the first derivative of q**5/30 + 17*q**4/12 - 37*q**3/18 - 35*q**2/6 + 459. Let p(a) = 0. Calculate a.
-35, -1, 0, 2
Let s be (68/40 - (-15)/50) + (-4 - -4). Find x, given that -3/2*x**s + 0 - 1/2*x**3 - x = 0.
-2, -1, 0
Let z(f) be the third derivative of f**6/180 - 23*f**5/90 + 107*f**4/36 - 85*f**3/9 + 61*f**2 + 3. Solve z(k) = 0.
1, 5, 17
Let m(u) = 27*u**5 + 121*u**4 + 17*u**3 + 7*u. Suppose -21*h - 266 = -2*h. Let t(z) = -9*z**5 - 40*z**4 - 6*z**3 - 2*z. Let y(w) = h*t(w) - 4*m(w). Factor y(k).
2*k**3*(k + 4)*(9*k + 2)
Let s(q) be the first derivative of -2*q**6/15 + 32*q**5/25 - 21*q**4/5 + 88*q**3/15 - 16*q**2/5 + 90. Determine l, given that s(l) = 0.
0, 1, 2, 4
Determine z, given that 36*z**2 - 8418*z + 232*z**2 + 40682*z**3 - 38088 - 40684*z**3 = 0.
-4, 69
Let y(v) = v**3 + v**2 + v. Let n(m) = -15*m**3 - 10*m - 170*m**2 - 159*m**2 + 269*m**2. Let h(w) = n(w) - 5*y(w). Factor h(x).
-5*x*(x + 3)*(4*x + 1)
Let i(z) be the second derivative of z**4/16 - 21*z**3/8 + 57*z**2/4 - 4*z - 27. Factor i(t).
3*(t - 19)*(t - 2)/4
Let t(q) = -14*q**3 + 12*q**2 - 10. Let h(u) = -3*u - 31. Let r be h(-17). Let j(w) = 1 + 13*w**3 - r*w**3 + 8*w**3. Let y(d) = -6*j(d) - t(d). Factor y(o).
4*(o - 1)**2*(2*o + 1)
Suppose 4*h - 2 - 8 = 5*v, 2*h - 14 = -2*v. Factor -15*j + 3*j**3 - 1493*j**2 - 8*j**3 + 1473*j**v.
-5*j*(j + 1)*(j + 3)
Let c(x) be the second derivative of 148*x - 1/80*x**5 + 0*x**3 - 5/6*x**4 + 0 + 0*x**2. Factor c(q).
-q**2*(q + 40)/4
Let v(s) be the first derivative of s**5/30 - 83*s**4/24 + 53*s**3/6 + 81*s**2/4 + 4144. Let v(y) = 0. Calculate y.
-1, 0, 3, 81
Factor -160/7 + 2/7*t**4 - 40/7*t**2 + 6/7*t**3 - 24*t.
2*(t - 5)*(t + 2)**2*(t + 4)/7
Let s = 22157/1793 + -1955/163. What is w in 4/11*w**3 + 0 + 0*w**2 + s*w**4 + 1/11*w**5 + 0*w = 0?
-2, 0
Let r be (-6)/((-34)/24 + (-14)/(-21)). What is k in 3*k**2 - 98*k + 8 - r + 32*k = 0?
0, 22
Suppose 13*u - 35*u + 8976 = 0. Let j be -2 + u/66 + -4. Solve 2/11*c**2 - j*c - 2/11 + 2/11*c**3 = 0.
-1, 1
Let 694/3*u + 80/3*u**2 + 616/3 + 2/3*u**3 = 0. What is u?
-28, -11, -1
Let d(k) be the first derivative of k**6/1440 - k**5/20 + 23*k**4/96 - 2*k**3/3 - 19*k**2/2 - 7. Let b(q) be the third derivative of d(q). Factor b(y).
(y - 23)*(y - 1)/4
Let q(f) = 5*f + 105. Let z be q(-21). Suppose -5*a = 5*b - 20, -3*b + 4*a - 1 + 13 = z. Factor 2/13*j**3 + 0 - 2/13*j**b + 0*j + 0*j**2.
-2*j**3*(j - 1)/13
Let q = 28348/501 - -14/167. Let t = q - 55. Factor -5*p**2 - t - 5*p - 5/3*p**3.
-5*(p + 1)**3/3
Let h(m) be the first derivative of -m**5/300 - m**4/40 + 59*m**2/2 + 186. Let o(u) be the second derivative of h(u). Suppose o(p) = 0. What is p?
-3, 0
Let n(g) be the third derivati