*a - 15. Factor y(b).
3*(b - 2)*(b - 1)**2*(b + 3)/7
Let j = 6192 + -6189. Let z(c) be the second derivative of 2*c + 0 - c**j - 1/6*c**4 + 4*c**2. Solve z(k) = 0.
-4, 1
Let y(b) = -8 + 7*b + 4*b + 3*b. Let k be y(4). Solve -2560*o**3 - 72*o + 0 + 5 - k*o + 232*o**2 + 728*o**2 = 0.
1/8
Let w = -4435 + 79831/18. Let z(i) be the third derivative of 1/360*i**6 + 0*i - w*i**4 - 1/630*i**7 + 0 + 0*i**3 + 1/45*i**5 - 19*i**2. Factor z(v).
-v*(v - 2)*(v - 1)*(v + 2)/3
Let v(u) = u**2 - 150*u - 574. Let f(i) = i + 25. Let g(n) = -8*f(n) + 4*v(n). Find b, given that g(b) = 0.
-4, 156
Let h(q) be the second derivative of 8/345*q**6 + 1/69*q**4 + 1/161*q**7 + 0*q**3 + 30*q + 0 + 7/230*q**5 + 0*q**2. Factor h(i).
2*i**2*(i + 1)**2*(3*i + 2)/23
Let y(o) = o**3 - 6*o - 8. Let r be y(-3). Let t(h) = 4*h + 74. Let a be t(r). Factor -27*d**2 + 87*d**2 + 36*d**3 + 42 - 128*d + a.
4*(d + 3)*(3*d - 2)**2
Suppose -8*f + 59 = 3. Suppose 0 = 5*k + f*k - 276. Factor -3*v**4 + 2*v**5 + 8*v**2 + v**5 - 18*v**3 + v + k*v + 4*v**2.
3*v*(v - 2)**2*(v + 1)*(v + 2)
Suppose -7*c + 35 = -3*c + 5*f, c - 8 = -f. Determine z, given that 1748 - 200*z - 239 + c*z**2 + 491 = 0.
20
Let z(j) = -j**2 - 1041*j - 155656. Let q be z(-181). Solve 0 + 2/9*f**q + 100/9*f**3 + 0*f**2 + 0*f = 0 for f.
-50, 0
Let a(z) be the third derivative of z**6/60 - 11*z**5/30 - 29*z**4/3 - 60*z**3 - 21*z**2 + 9*z + 2. Factor a(u).
2*(u - 18)*(u + 2)*(u + 5)
Suppose -2*t - 2889*c = -2888*c - 18, -2*t = -6*c + 108. Factor -1/6*m**2 + 1/6*m**4 + t - 1/6*m + 1/6*m**3.
m*(m - 1)*(m + 1)**2/6
Let h(c) = -c**3 + c**2 + 4*c - 2. Let a(x) = 8*x**3 + 1816*x**2 + 3620*x + 1860. Let q(k) = -a(k) - 12*h(k). Let q(b) = 0. Calculate b.
-1, 459
Let z be 36/(-16)*(-8)/6. Suppose -3*u = -3 - z. Factor -5*p**3 - 2 + p**2 + 2 - 11*p**u.
-5*p**2*(p + 2)
Let o(j) be the first derivative of -2*j**5/5 - 25*j**4/2 + 418*j**3/3 - 471*j**2 + 576*j + 3172. Solve o(y) = 0 for y.
-32, 1, 3
Let b(z) be the first derivative of 30 + 0*z**2 + 1/15*z**3 + 0*z + 1/8*z**4 - 7/50*z**5. Find d such that b(d) = 0.
-2/7, 0, 1
Let r be 5/((-27)/4 - -7). Let q be (-10)/(-3)*30/r + -5. Find h, given that -4/3*h**3 + 4/3*h - 4/3*h**2 + 4/3*h**4 + q = 0.
-1, 0, 1
Solve 74/5*t**3 + 0 + 0*t - 2/5*t**4 + 156/5*t**2 = 0.
-2, 0, 39
Let p = 187 + -176. Determine g so that -5 - 648*g**3 + p - 6 + 94*g**2 + 20*g**4 + 162*g**2 = 0.
0, 2/5, 32
Suppose 3*t + 5*n - 12 = 6*n, -4*n = -t - 7. Suppose t*d - 2*y - 15 = 0, -2*d - y + 5 = -1. Let -1/6*r**4 - 2/3*r + 1/2 + 2/3*r**d - 1/3*r**2 = 0. What is r?
-1, 1, 3
Let r(q) = -31*q + 220. Let x be r(7). Let b(p) be the third derivative of -1/18*p**x + 0*p + 0*p**4 + 0 + 1/180*p**5 - 2*p**2. Factor b(f).
(f - 1)*(f + 1)/3
Let j be (1/4)/((-49)/(-588)). Suppose -j*l - 10 = -16. Find v, given that -l*v - 1/2*v**2 - 2 = 0.
-2
Let u = -4/125 + -578/5375. Let b = 200/817 + u. Solve 0*s - 4/19*s**3 + 4/19*s**5 - b*s**2 + 2/19*s**4 + 0 = 0 for s.
-1, -1/2, 0, 1
Let c be (285/72 + -4)/(375/(-600)). Let y(p) be the first derivative of 32 + 0*p - c*p**5 - 2/9*p**3 + 0*p**2 + 1/4*p**4. Factor y(a).
-a**2*(a - 2)*(a - 1)/3
Let o(c) be the third derivative of -c**5/105 + 17*c**4/42 - 104*c**3/21 + 1849*c**2. Suppose o(a) = 0. What is a?
4, 13
Let z(g) be the first derivative of 3/25*g**5 + 36/5*g - 34 - 7/5*g**3 - 3/10*g**4 + 12/5*g**2. Let z(r) = 0. What is r?
-2, -1, 2, 3
Let -85517*f**2 + 62 - 313 + 85321*f**2 + 4*f**4 - 709 + 872*f - 8*f**3 = 0. What is f?
-8, 2, 3, 5
Let p(g) be the first derivative of -g**4/108 + 80*g**3/27 - 3200*g**2/9 - 236*g - 14. Let l(d) be the first derivative of p(d). Factor l(j).
-(j - 80)**2/9
Let f(d) be the first derivative of -d**5/10 + 3*d**4/4 + 7*d**3/6 + 861. Suppose f(i) = 0. Calculate i.
-1, 0, 7
Let u(l) = 9 - 5 + 133*l - 100*l. Let q be u(0). Factor 4*h**3 + 8*h**2 + 20/3*h + 2/3*h**q + 2.
2*(h + 1)**3*(h + 3)/3
Let k(y) be the first derivative of -5*y**4/4 + 36*y**3 - 61*y**2/2 - 42*y + 178. Find b, given that k(b) = 0.
-2/5, 1, 21
Let r(c) = 2*c + 54. Let f be r(-23). Suppose -11*t + f*t = -12. Factor 5*j**2 - 35*j**4 - 2*j**2 + j**2 - 2*j**5 + 2*j + 31*j**t.
-2*j*(j - 1)*(j + 1)**3
Let k(a) be the first derivative of a**6/72 + 5*a**5/6 + 125*a**4/6 + 53*a**3/3 + 8. Let q(s) be the third derivative of k(s). Factor q(c).
5*(c + 10)**2
Suppose 21*z + 7*z - 140*z = 0. Let l(j) be the third derivative of 12*j**2 + 1/140*j**7 + z*j**3 + 1/20*j**6 - 1/40*j**5 - 1/4*j**4 + 0 + 0*j. Factor l(q).
3*q*(q - 1)*(q + 1)*(q + 4)/2
Let w(r) be the first derivative of 3*r**4/4 - 2*r**3 - 129*r**2/2 - 120*r + 837. Factor w(c).
3*(c - 8)*(c + 1)*(c + 5)
Suppose 4*j - 10*j + 138 = 0. Suppose -j = -4*u + 2*h - 5*h, 4*h - 14 = 3*u. Factor 5*p**3 - 36*p**u - 6*p**3 + 5*p**3.
4*p**2*(p - 9)
Suppose -5*j - 184 = -28*j. Factor 56 - j*t + 3*t**3 - 54 - 4*t**3 + 4*t**2 + 3*t.
-(t - 2)*(t - 1)**2
Let u(a) be the second derivative of 2*a**7/21 + 62*a**6/15 + 59*a**5/5 + 29*a**4/3 - 1107*a. Factor u(s).
4*s**2*(s + 1)**2*(s + 29)
Suppose 73 - 201 - 412 = -45*j. Let x(i) be the second derivative of -2/33*i**4 + 0*i**2 + 2/55*i**5 + 0 + 0*i**3 - j*i - 1/165*i**6. Let x(z) = 0. Calculate z.
0, 2
Suppose -2*c = y + 11, 283*y - 287*y - 3*c = 9. Factor 2*b**2 - 25/3*b**3 + 0*b - y*b**4 + 0.
-b**2*(b + 3)*(9*b - 2)/3
Suppose 5*r - 15 = 0, -4*r - 58 = -5*t - 0*r. Let k = t + -12. Suppose 1/2*p + 0 - 1/2*p**3 + 0*p**k = 0. What is p?
-1, 0, 1
Let g(y) = -4*y**2 - 14*y + 8. Let o(z) = 75*z - 37*z - 39*z - z**2. Let t(a) = g(a) - 6*o(a). Factor t(n).
2*(n - 2)**2
Let i(y) be the first derivative of y**3/12 - 15*y**2/8 + 9*y + 313. Find k, given that i(k) = 0.
3, 12
Let z(f) be the second derivative of -1/15*f**3 - 7/60*f**4 + 0*f**2 + 1 + 4*f. Suppose z(s) = 0. Calculate s.
-2/7, 0
Suppose 0 = u + 1 - 3. Solve -3 - 61*q + 9*q**u - 6 + 58*q + 3*q**3 = 0 for q.
-3, -1, 1
Let x(v) = -v**2 + 23*v - 111. Let q be x(16). Let o be 0 - (-9 - -8) - q. Factor 0 - 2/15*y**5 - 2/15*y**2 - 2/5*y**3 - 2/5*y**4 + o*y.
-2*y**2*(y + 1)**3/15
Find a such that 27/4 - 3/4*a**2 - 1/4*a**3 + 9/4*a = 0.
-3, 3
Let z be 2 + (-10)/(-4) + (357/(-34) - -10). Let -3/5*v**3 + 0 + 1/5*v**z + 0*v + 2/5*v**2 = 0. What is v?
0, 1, 2
Suppose -20*r + 500 = 37*r + 43*r. Let h(b) be the first derivative of 15 + 20/7*b**3 + 0*b + 50/7*b**2 + 4/35*b**r - 9/7*b**4. Factor h(o).
4*o*(o - 5)**2*(o + 1)/7
Let n(h) be the second derivative of 205/48*h**4 + 1/24*h**6 + 11/8*h**5 + 25/6*h**3 - 1 + 25*h + 0*h**2. Factor n(u).
5*u*(u + 1)**2*(u + 20)/4
Let n(m) be the first derivative of -m**4/4 + 9*m**3 + 27*m**2/2 + 30*m - 142. Let p be n(28). Suppose 4 + 2/3*u**p - 14/3*u = 0. What is u?
1, 6
Solve -3/8*j**3 - 299538*j + 51520536 + 1161/2*j**2 = 0 for j.
516
Let s(y) be the first derivative of -108 + 99/4*y**2 + 3267/4*y + 1/4*y**3. Factor s(f).
3*(f + 33)**2/4
Let s(t) be the first derivative of 2*t**5/15 + 2*t**4/3 - 2*t**3/9 - 16*t**2/3 - 8*t + 675. What is z in s(z) = 0?
-3, -2, -1, 2
Let c be 559/104 - 15 - -10. Let q(b) = 3*b + 48. Let z be q(-14). Find i such that -z + 3*i - c*i**2 = 0.
4
Let d(k) be the first derivative of -k**4/30 - 19*k**3/15 - 49*k + 230. Let z(g) be the first derivative of d(g). Factor z(q).
-2*q*(q + 19)/5
Let w be ((-2)/(-5))/(3768/2355). Let b(d) be the first derivative of 3*d - 17 - 1/6*d**3 - w*d**2. Let b(h) = 0. Calculate h.
-3, 2
Suppose -101*n + 459*n - 383 - 333 = 0. Factor -1/10*m**3 - 7/10*m**n - 7/5*m - 4/5.
-(m + 1)*(m + 2)*(m + 4)/10
Find h such that 10*h**5 - 45 + 105*h - 175/4*h**4 - 115*h**3 + 355/4*h**2 = 0.
-2, -1, 3/8, 1, 6
Let g(j) = j**2 - 11*j + 3. Suppose 6*h = -39*h + 495. Let u be g(h). Suppose 2/3*q**u - 2/3*q**4 + 0*q + 0 + 2/3*q**2 - 2/3*q**5 = 0. What is q?
-1, 0, 1
Let a = 629727 + -629725. Factor 2/11*s**a - 32/11*s + 30/11.
2*(s - 15)*(s - 1)/11
Let q(l) be the first derivative of -25/54*l**6 + 0*l**3 + 67 - 4/9*l**4 + 8/9*l**5 + 0*l + 0*l**2. Factor q(z).
-z**3*(5*z - 4)**2/9
Let v(i) be the first derivative of -6/25*i**5 - 1/2*i**6 + 9/20*i**4 - 16 + 0*i**2 + 0*i + 0*i**3. Factor v(b).
-3*b**3*(b + 1)*(5*b - 3)/5
Suppose -26/5*m**3 - 56*m + 144/5 - 2/5*m**4 + 164/5*m**2 = 0. Calculate m.
-18, 1, 2
Factor -83*k + 45*k**2 + 69*k**3 - 7*k - 36*k**3 - 38*k**3.
-5*k*(k - 6)*(k - 3)
Let n be ((-3)/2)/(27/(-7