**3 - 2*b**3 - 2*b**2 + b + b**4 - 9 + 0*b**3 + 10. Let q(v) = -2*a(v) + 2*r(v). Factor q(h).
2*(h - 1)**2*(h + 1)*(h + 4)
Suppose -4*i = i - 5*q - 30, 0 = 5*i - 2*q - 21. Factor -846*h**2 + 0*h - h**i + 852*h**2 + 7*h.
-h*(h - 7)*(h + 1)
Let a(y) be the second derivative of -y**6/60 + 3*y**5/70 + y**4/7 - 4*y**3/21 - 95*y**2/2 - 130*y. Let q(m) be the first derivative of a(m). Factor q(j).
-2*(j - 2)*(j + 1)*(7*j - 2)/7
Factor 1/7*d**2 + 1/7*d**3 - 2*d - 24/7.
(d - 4)*(d + 2)*(d + 3)/7
What is b in 34957/2*b**2 + 67710*b + 66978 + 185*b**3 + 1/2*b**4 = 0?
-183, -2
Let y = 2483/7562 - 5/398. What is f in -y*f - 4/19 - 2/19*f**2 = 0?
-2, -1
Determine s so that 126 - 285/7*s - 3/7*s**2 = 0.
-98, 3
Let h(q) = -9*q - 76. Let i(z) = 10*z + 75. Let s(x) = -7*h(x) - 6*i(x). Let v be s(-24). Let -9 + 24*r - v - 3*r**2 - 29 = 0. What is r?
4
Let a(d) = d**3 - d - 3. Let n(g) = 3*g**3 + 38*g**2 + 394*g + 642. Let u(o) = -2*a(o) + n(o). Determine w so that u(w) = 0.
-18, -2
Let b(j) be the second derivative of -20/7*j**2 - 1/42*j**4 - 166*j + 0 - 4/7*j**3. Factor b(i).
-2*(i + 2)*(i + 10)/7
Let w(v) be the second derivative of -v**4/32 - 10*v**3 - 1413*v**2/16 - 18*v + 11. Let w(p) = 0. Calculate p.
-157, -3
Let v(o) = -5*o**2 - o - 1. Let p = -508 + 514. Let c(y) = 17*y**2 - 5*y + 9. Let u(f) = p*v(f) + 2*c(f). Find m such that u(m) = 0.
1, 3
Suppose -2 = j - 12. Factor 4*x**4 - j*x**3 + 6*x**3 + 2*x**3 - 2*x**5.
-2*x**3*(x - 1)**2
Let o(i) = -i**2 - 606236*i + 27 + 606236*i. Let y be o(5). Suppose 12*d + 60 + 3/5*d**y = 0. What is d?
-10
Let c = -158291 + 158294. Determine l so that 168*l**2 - 108*l**c + 196/3*l + 18*l**4 - 686/3 = 0.
-1, 7/3
Let q be (-35)/18*-3 - (-660)/(-792). What is i in -i**4 - 1/3*i**q + 0*i + 1/3*i**3 + 7/3*i**2 - 4/3 = 0?
-2, -1, 1
Let i(g) = 3*g**2 + 458*g - 960. Let u(s) = -s + 6. Let m(y) = -i(y) - 8*u(y). Let m(t) = 0. What is t?
-152, 2
Let t(f) be the third derivative of f**6/160 - 11*f**5/80 - 13*f**4/16 - 1888*f**2. Find h, given that t(h) = 0.
-2, 0, 13
Let v(g) be the second derivative of -32*g - 20*g**3 + 7/3*g**4 + 72*g**2 - 1/10*g**5 + 0. Factor v(f).
-2*(f - 6)**2*(f - 2)
Factor -4608*r - 66357245 + 19731*r + 3199*r + 18108*r - 5*r**2.
-5*(r - 3643)**2
Let w = -491 + 494. Solve 63*y**2 + 54 - 100*y**w + 148*y**3 + 105*y**2 + 198*y - 27*y = 0 for y.
-2, -3/4
Let z(j) = 2*j**3 - 2*j**2 - 4*j - 2. Let y be z(-2). Let t be 3 + y/(-15) - (3 + 1). Determine f so that 0 + t*f - 1/10*f**2 = 0.
0, 2
Let q(x) be the third derivative of x**6/240 - 43*x**5/60 - 119*x**4/16 - 45*x**3/2 - 10*x**2 - 5*x. Factor q(a).
(a - 90)*(a + 1)*(a + 3)/2
Let u(c) be the first derivative of c**9/1008 - c**8/280 + c**7/280 + 52*c**3 - 150. Let f(w) be the third derivative of u(w). Factor f(i).
3*i**3*(i - 1)**2
Let c be -3 - -2 - -2 - (48 + -49). Let g(k) be the first derivative of -16*k + 8*k**2 + c + 4/3*k**3 - k**4. Factor g(y).
-4*(y - 2)*(y - 1)*(y + 2)
Solve -150 - 315*y**3 - 530*y - 2*y**5 - 1303/2*y**2 - 91/2*y**4 = 0.
-10, -1, -3/4
Let -136/11*a**3 - 2160/11*a + 1086/11*a**2 - 32/11 = 0. What is a?
-1/68, 4
Let d(x) be the first derivative of -4*x**3 + 6/5*x**5 - 3/2*x**2 + 32 - 1/2*x**6 + 3/2*x**4 + 6*x. Find i, given that d(i) = 0.
-1, 1, 2
Determine v, given that 4/9 + 4/9*v**2 - 8/9*v**3 + 10/9*v - 2/9*v**5 - 8/9*v**4 = 0.
-2, -1, 1
Let i(d) be the second derivative of d**6/15 + 241*d**5/10 + 479*d**4/6 + 239*d**3/3 + 6*d + 1. Factor i(h).
2*h*(h + 1)**2*(h + 239)
Let c be (338/(-5070))/(12/(-640)). Let -c + 16/9*x - 2/9*x**2 = 0. Calculate x.
4
Let w = 1230 - 1120. Let q be ((-5)/w)/(-1*2/240). Factor -q*d + 450/11 + 2/11*d**2.
2*(d - 15)**2/11
Let f(u) be the third derivative of 0 + 11/120*u**6 - 175*u**2 + 0*u + 1/4*u**4 + 7/12*u**5 + 0*u**3. Factor f(v).
v*(v + 3)*(11*v + 2)
Let y(q) be the first derivative of q**4/24 - 35*q**3/9 - q**2/12 + 35*q/3 + 790. Factor y(n).
(n - 70)*(n - 1)*(n + 1)/6
Let f(u) = u**3 - 7*u**2 - 6. Let a be f(7). Let z be 19/(-95) + a/(-10). Find c, given that -1/5 + z*c - 1/5*c**2 = 0.
1
Let c(a) be the third derivative of a**6/480 + 3*a**5/80 - 33*a**4/16 - 27*a**3 + 13343*a**2. Factor c(k).
(k - 12)*(k + 3)*(k + 18)/4
Let z(n) = -n**4 - n**3 + 2*n**2 - 9*n - 1. Let c(h) = 156*h**3 - 696*h**2 + 27*h + 3. Let o(u) = -c(u) - 3*z(u). Factor o(g).
3*g**2*(g - 46)*(g - 5)
Let d(r) be the second derivative of r**4/24 + 323*r**3/12 + 795*r**2/2 + 2514*r - 2. Factor d(u).
(u + 5)*(u + 318)/2
Suppose -15*w + 2293 - 208 = 0. Let l = -139 + w. Factor 0*z**2 - 2/7*z**4 + 0 + 6/7*z**5 + l*z - 4/7*z**3.
2*z**3*(z - 1)*(3*z + 2)/7
Let b = -39772 - -39777. Solve -2/3*u**b + 8/3*u + 8/3*u**4 - 20/3*u**2 + 16/3 - 2/3*u**3 = 0 for u.
-1, 2
Let y(p) be the third derivative of 5*p**5/6 - 16*p**4/3 + 28*p**3/3 - 613*p**2. Factor y(g).
2*(g - 2)*(25*g - 14)
Let o = -61 + 67. Factor -5*h**2 + o + 120 - 6 + 0 - 10*h.
-5*(h - 4)*(h + 6)
Factor -3/7*s**4 + 0*s**3 + 0 + 3/7*s**5 + 0*s + 0*s**2.
3*s**4*(s - 1)/7
Suppose -10 = 7*i - 12 - 12. Let q(w) be the first derivative of -26 + 0*w - 1/12*w**i - 1/18*w**3. Factor q(l).
-l*(l + 1)/6
Let j(g) be the second derivative of -9*g**5/100 + 13*g**4/10 + 11*g**3/10 - 27*g**2/5 - 59*g. Factor j(q).
-3*(q - 9)*(q + 1)*(3*q - 2)/5
Let m(z) be the second derivative of -z**4/48 + 119*z**3/6 - 14161*z**2/2 - 2585*z. Suppose m(f) = 0. Calculate f.
238
Let h(d) be the second derivative of 0 - 1/6*d**3 + 0*d**2 + 0*d**5 + 1/156*d**4 + 2*d - 1/2340*d**6. Let i(o) be the second derivative of h(o). Factor i(u).
-2*(u - 1)*(u + 1)/13
Let u(m) be the first derivative of 3*m**5/40 - 15*m**4/16 + 5*m**3/2 + 15*m**2/8 - 63*m/8 + 4775. Let u(g) = 0. What is g?
-1, 1, 3, 7
Factor -1/12*s**2 + 8 - 95/12*s.
-(s - 1)*(s + 96)/12
Let y be -8 + (3 - (-15 - -1)). Let t be (-10)/y*162/(-135). Factor 16/3*a**3 + t*a**5 - 20/3*a + 8/3 - 16/3*a**4 + 8/3*a**2.
4*(a - 2)*(a - 1)**3*(a + 1)/3
Suppose 5*z = 5*a - 30, 0 = -a - 21*z + 18*z - 6. Let n be a/(-4) - (-2475)/2100. Solve 12/7 - 24/7*t + 15/7*t**2 - n*t**3 = 0 for t.
1, 2
Let o(y) be the first derivative of y**4/2 - 794*y**3/9 + 130*y**2/3 + 176*y + 1061. Suppose o(c) = 0. What is c?
-2/3, 1, 132
Let z(h) be the first derivative of -h**6/90 + h**5/10 + 2*h**4/3 + 17*h**3 - 40. Let u(p) be the third derivative of z(p). Factor u(q).
-4*(q - 4)*(q + 1)
Let m(a) = -20*a**2 + 294 + 13*a**3 - 5*a**3 + 71 - 70*a. Let v(j) = 15*j**3 - 39*j**2 - 141*j + 732. Let o(c) = -9*m(c) + 5*v(c). Solve o(f) = 0 for f.
-5, 5
Suppose -71*g = -140 - 4972. Let u(h) be the first derivative of -116/3*h**3 - 9*h**4 - 4/5*h**5 - g*h - 78*h**2 - 19. Suppose u(y) = 0. Calculate y.
-3, -2, -1
Let i = 100582 - 100579. Factor -3/4*p**2 - 1 - 3/2*p - 1/8*p**i.
-(p + 2)**3/8
Let c(z) be the second derivative of -z**7/210 + z**6/45 - z**3/3 + z**2/2 + 14*z + 3. Let r(v) be the second derivative of c(v). Factor r(j).
-4*j**2*(j - 2)
Let d = -5/891 - -2743/12474. Let x(o) be the first derivative of 4/7*o**3 + 0*o + 12/35*o**5 - 9/14*o**4 - d*o**2 - 1/14*o**6 + 23. Factor x(i).
-3*i*(i - 1)**4/7
Let s(t) be the third derivative of 7625/6*t**4 + 2*t + 13/1344*t**8 + 0 + 193/12*t**6 + 37/60*t**7 - 18*t**2 - 2500/3*t**3 + 635/3*t**5. Factor s(l).
(l + 10)**4*(13*l - 2)/4
Suppose 2 = 3*k - 2*p - 7, 4*k = -2*p - 2. Let s be k/6 + 161/42. Factor 17*f**2 + 3 - 8*f**2 - 24*f - 3*f**s + 6*f**3 + 9.
-3*(f - 2)*(f - 1)**2*(f + 2)
Let w(n) = -17*n - 744. Let x be w(-46). Suppose -x*h + 115 = 1. Determine b, given that 2/19*b**2 - 8/19*b**h + 0*b + 0 + 6/19*b**4 = 0.
0, 1/3, 1
Let l = -105 - -218. Let d = l - 111. Factor -1/2*x**d + 0*x**3 + 1/2*x**4 + 0*x + 0.
x**2*(x - 1)*(x + 1)/2
Let r(j) be the first derivative of j**3/18 - 77*j**2/3 + 11858*j/3 - 5307. Find l such that r(l) = 0.
154
Let k(l) be the first derivative of 1/28*l**4 + 3/14*l**2 + 1/7*l**3 + 62 + 1/7*l. Factor k(i).
(i + 1)**3/7
Let n = 173 + -127. Let w be (n/(-14) - (-6)/21) + 3. Factor w - 4/9*s + 2/9*s**2.
2*s*(s - 2)/9
Let p(k) = 5*k - 12. Let w be p(4). Determine j so that 2*j + w + 10*j - 9 + 2*j**2 - 13 = 0.
-7, 1
Suppose 0 = 6*v - 3155 + 3137. Let b(w) be the first derivative of -12 + 2*w - w**2 + 1/2*w**4 - 2/3*w**v. Factor b(l).
2*(l - 1)**2*(l + 1)
Let p(b) = -1656*b - 3312. Let v be p(-2). Let w(r) be the second derivati