tive of 7*u**6/45 + 43*u**5/15 + 20*u**4 + 544*u**3/9 + 128*u**2/3 - u + 3. Factor j(v).
2*(v + 4)**3*(7*v + 2)/3
Let r(f) = 8*f**4 - 18*f**3 + 15*f**2 - 5*f. Let w(o) = 33*o**4 - 72*o**3 + 60*o**2 - 21*o. Let b(d) = 21*r(d) - 5*w(d). Determine l, given that b(l) = 0.
0, 1, 5
Let q be (((-16)/(-3))/(-4))/((-60)/675). Let g be 43/q + (-2 - (-96)/45). Determine y, given that 1/3*y**g + 0 + 2/3*y + y**2 = 0.
-2, -1, 0
Let l(s) be the third derivative of -3*s**2 + 1/112*s**8 + 0 - 5/24*s**4 + 1/60*s**6 - 1/10*s**5 + 0*s - 1/6*s**3 + 1/30*s**7. Factor l(v).
(v - 1)*(v + 1)**3*(3*v + 1)
Let w be ((-111)/(-9) - -6)*-3. Let c be (-120)/w + 4/(-22). Let -4/7*m**3 - 2/7 + 4/7*m + 2/7*m**c = 0. Calculate m.
-1, 1/2, 1
Let g(z) be the second derivative of 2*z**7/7 + 7*z**6/6 + 27*z**5/20 - 3*z**4/4 - 19*z**3/6 - 3*z**2 - 49*z. Factor g(k).
(k + 1)**3*(3*k + 2)*(4*k - 3)
Let z(i) = i**3 - 25*i**2 + 154*i + 26. Let l be z(13). Solve l*x**4 + x**3 + 0*x**2 - 1/2*x - 1/2*x**5 + 0 = 0 for x.
-1, 0, 1
Factor 0 - 3/2*n**3 - 6*n + 6*n**2.
-3*n*(n - 2)**2/2
Suppose 21*u + 10 = 73. Let b(d) be the first derivative of -12 - 4*d + 4/3*d**u + 3*d**2. Suppose b(y) = 0. Calculate y.
-2, 1/2
What is i in -98/17*i**2 + 6*i - 4/17 = 0?
2/49, 1
Let q(p) be the second derivative of -p**7/168 - 2*p**6/15 - 29*p**5/40 - p**4/2 + 33*p**3/8 + 238*p. Find u such that q(u) = 0.
-11, -3, 0, 1
Let u be (-50)/15*(-18)/15. Suppose d + u*n + 19 = 0, -2*d - 3*n = 3*d + 10. Factor -2*j**2 - 3/2*j**3 + d + 1/2*j.
-(j + 1)**2*(3*j - 2)/2
Suppose 4*y - 12 = -0*y. Let b be (y - -1)/4 - -2. Suppose 16*x + 0 + 0 + 9*x**3 + 16*x**2 - 5*x**b = 0. What is x?
-2, 0
Let j(t) be the first derivative of t**4/6 + 4*t**3/3 + 3*t**2 + 24*t + 16. Let y(d) be the first derivative of j(d). Factor y(x).
2*(x + 1)*(x + 3)
Let m(t) = 2*t**2 - 12*t + 8. Let h(j) = j**2 - 12*j + 8. Let i(n) = -2*h(n) + 3*m(n). Factor i(k).
4*(k - 2)*(k - 1)
Let d(r) be the second derivative of r**9/60480 + r**8/13440 + r**7/10080 - 5*r**4/12 + 7*r. Let q(m) be the third derivative of d(m). Factor q(l).
l**2*(l + 1)**2/4
Let k be (-4)/(-7) - 20/(-14). Suppose -k = -4*j + 6. Factor -29*h**j - h - 2*h**3 + 25*h**2 - h.
-2*h*(h + 1)**2
Let f = 25904 - 25900. Factor 2/11*i**f + 6/11*i**3 - 18/11*i**2 + 0 + 10/11*i.
2*i*(i - 1)**2*(i + 5)/11
Let o(w) = 22*w - 8*w**2 - 12*w**2 + 25*w**2 + 6 - 13*w**2. Let i be o(3). Factor 4/3 + i*r - 1/3*r**2.
-(r - 2)*(r + 2)/3
Let u(j) be the first derivative of j**7/1470 + j**6/630 - 5*j**3/3 - 9. Let t(h) be the third derivative of u(h). Factor t(d).
4*d**2*(d + 1)/7
Let u be 33/(-30)*-74 + 3. Let n = u - 84. Find a such that 6/5*a**3 + 0 + n*a - 8/5*a**2 = 0.
0, 1/3, 1
Let f(u) be the third derivative of 0 + 0*u**3 - 31/35*u**7 + 13/8*u**6 + 1/2*u**4 - 3*u**2 - 7/5*u**5 + 3/16*u**8 + 0*u. Solve f(s) = 0 for s.
0, 2/7, 2/3, 1
Let v(c) = -31*c**5 - 51*c**4 + 47*c**3 + 45*c**2 - 19*c. Let j(a) = a**5 + a**4 - a**3 + a**2 + a. Let u(z) = 3*j(z) + v(z). Let u(b) = 0. What is b?
-2, -1, 0, 2/7, 1
Factor -3*o**4 - 18*o - 34*o**2 - 16*o**3 - 2*o**3 + 0*o**4 + o**2.
-3*o*(o + 1)*(o + 2)*(o + 3)
Let c(h) be the second derivative of -h**5/40 + 21*h**4/8 - 41*h**3/4 + 61*h**2/4 + 12*h + 13. What is l in c(l) = 0?
1, 61
Determine t so that -60 + 35/2*t**3 - 45*t**2 + 5/2*t**5 - 110*t + 15*t**4 = 0.
-3, -2, -1, 2
Suppose 4*w - 281 = 23. Let f = w + -76. Suppose 4/5*j + f + 6/5*j**2 + 2/5*j**3 = 0. What is j?
-2, -1, 0
Let d(n) = 11*n - 12. Suppose -4*g = 8, -4*g = -2*t + 21 + 5. Let r be d(t). Factor -80*v**3 + 25*v**4 + r*v**2 - 5*v + 37*v**2 - 43*v - 30*v**2 + 9.
(v - 1)**2*(5*v - 3)**2
Let o be 3/5 + 12/5. Solve -25*k + 10 + 27*k**2 - 4*k**3 + 2*k**o - 3*k**3 - 7*k**2 = 0.
1, 2
Let a(d) = -d**3 - 2*d**2 + 8*d - 2. Let f be a(2). Let t be f/(-6) - ((-110)/(-6))/(-5). Factor 0*z**3 + 6*z**t - 128/9*z - 16*z**2 - 32/9.
2*(z - 2)*(3*z + 2)**3/9
Let x be -1 + -2 + (-4)/((-4)/5). Factor 59 - 67 + x*c**3 - c**2 + 7*c**2.
2*(c - 1)*(c + 2)**2
Suppose -100 + 6*q**2 + 441*q**3 + q**4 - 421*q**3 - 20*q + 93*q**2 = 0. Calculate q.
-10, -1, 1
Let c(l) be the first derivative of 450*l + 2/3*l**3 + 30*l**2 + 7. Find o, given that c(o) = 0.
-15
Let u = -820 - -2465/3. Let c(z) be the second derivative of 0 + u*z**3 + 0*z**2 + 5/12*z**4 - 10*z. Factor c(q).
5*q*(q + 2)
Let z = 145 + -207. Let q = 249/4 + z. Factor -1/4*p**2 - 1/2*p - q.
-(p + 1)**2/4
Suppose -52/3*x - 2/3*x**3 - 1/3*x**4 + 28/3 + 9*x**2 = 0. What is x?
-7, 1, 2
Let g(y) be the first derivative of -3*y**4 + 4*y**3/3 + 24*y**2 - 16*y + 374. Determine q so that g(q) = 0.
-2, 1/3, 2
Let d(c) = 11*c**2 - 52*c + 90. Let r(p) = -35*p**2 + 155*p - 270. Let u(y) = -10*d(y) - 3*r(y). Find n, given that u(n) = 0.
2, 9
Let y = -102 - -107. Factor -5*l**2 - 4315 - y*l + 4315.
-5*l*(l + 1)
Let d be (-21)/(-28) - 3/4. Let r be 0 + 1 - 11/(-11). Factor y - y + d*y + r*y**2.
2*y**2
Let c(m) be the third derivative of m**6/60 + 2*m**5/15 + 5*m**4/12 + 2*m**3/3 + 29*m**2 + 2*m. Factor c(h).
2*(h + 1)**2*(h + 2)
Suppose -16 = -5*t + 3*t. Let y(h) be the second derivative of -1/2*h**3 + 0*h**2 - t*h - h**4 + 0. Suppose y(k) = 0. What is k?
-1/4, 0
Let d(q) be the second derivative of -q**7/1400 + q**6/150 - q**5/40 + q**4/20 + 5*q**3/6 + 6*q. Let s(w) be the second derivative of d(w). Factor s(r).
-3*(r - 2)*(r - 1)**2/5
Let h be 6/(-36) - (-39)/18. What is p in 0 + 3*p + 3/4*p**h = 0?
-4, 0
Let a = -35013/20 - -8757/5. Find z such that 3*z**2 + 9/4*z + a*z**3 + 0 = 0.
-3, -1, 0
Let t(m) be the first derivative of m**4/5 - 4*m**3/5 - 2*m**2/5 + 12*m/5 + 379. Let t(j) = 0. Calculate j.
-1, 1, 3
Solve -819 - 3*v**2 - 909 - 1147*v + 1003*v = 0.
-24
Let a(j) be the first derivative of j**6/15 - 16*j**5/25 + 6*j**4/5 + 4*j**3/15 - 13*j**2/5 + 12*j/5 + 184. Determine s so that a(s) = 0.
-1, 1, 6
Let w(r) be the first derivative of r**7/105 + r**6/15 + r**5/6 + r**4/6 - 27*r**2/2 + 27. Let n(y) be the second derivative of w(y). Solve n(p) = 0 for p.
-2, -1, 0
Let r(b) be the second derivative of b**5/35 - 31*b**4/21 + 170*b**3/7 - 450*b**2/7 + 31*b + 3. Factor r(d).
4*(d - 15)**2*(d - 1)/7
Suppose -4 = -46*u + 88. Let d(f) be the first derivative of -8/21*f - 4/21*f**u - 2/63*f**3 + 10. Let d(t) = 0. What is t?
-2
Let h(b) be the second derivative of b**4/3 - 6*b**3 - 72*b**2 - 289*b. Find n, given that h(n) = 0.
-3, 12
Let o(j) = 108*j**4 - 172*j**3 - 401*j**2 - 122*j - 9. Let g(p) = 72*p**4 - 115*p**3 - 267*p**2 - 81*p - 6. Let y(t) = 8*g(t) - 5*o(t). Factor y(r).
(r - 3)*(r + 1)*(6*r + 1)**2
Suppose 0 = -4*h - 5*l - 12, -12 = 2*h - 2*l + 6*l. Factor -8*f**2 - 4 + h*f**3 + 12*f + 2*f - 4*f.
2*(f - 2)*(f - 1)**2
Suppose 86*p - 118*p + 64 = 0. Factor -4/11 - 2/11*r + 2/11*r**p.
2*(r - 2)*(r + 1)/11
Suppose 1724*j - 24 = 1718*j. Determine d, given that -4/5*d**2 + 0*d + 0 - 4/5*d**3 + 1/5*d**j + 1/5*d**5 = 0.
-2, -1, 0, 2
Let y(i) be the second derivative of 2*i**7/21 - 38*i**6/15 + 23*i**5 - 241*i**4/3 + 416*i**3/3 - 128*i**2 + 6*i. Factor y(h).
4*(h - 8)**2*(h - 1)**3
Factor 0 + 729/7*i + 54/7*i**2 + 1/7*i**3.
i*(i + 27)**2/7
Let b(m) = 2*m**2 + 75*m + 495. Let o be b(-29). Solve -48/5 - 3/5*r**3 - 72/5*r - 27/5*r**o = 0 for r.
-4, -1
Let z(u) be the second derivative of -5/12*u**3 + 20*u + 1/8*u**5 + 15/4*u**2 + 0 - 5/8*u**4. Factor z(h).
5*(h - 3)*(h - 1)*(h + 1)/2
Let q(s) = 44*s - 3692. Let r be q(84). Determine t, given that 0*t**2 + 1/5*t**r + 0*t + 0 + 2/5*t**3 = 0.
-2, 0
Suppose 0 = -4*o, -11*o + 8*o = 2*p - 4. Find c, given that -40*c**2 + 42*c**p - 2 - 4 + 4*c = 0.
-3, 1
Let l = 4/1009 + 1998/5045. Factor -l*j**2 + 2/5*j**3 + 2/5 - 2/5*j.
2*(j - 1)**2*(j + 1)/5
Let o = 561 - 14022/25. Let t(g) be the first derivative of -7 + o*g**5 + 3/10*g**2 + 9/20*g**4 + 3/5*g**3 + 0*g. Determine v so that t(v) = 0.
-1, 0
Let q(s) be the second derivative of s**5/210 - s**4/84 - 2*s**3/21 + s**2 - 12*s. Let j(t) be the first derivative of q(t). Factor j(f).
2*(f - 2)*(f + 1)/7
Let b(k) be the third derivative of -k**6/24 + k**5/2 + 35*k**4/24 + 264*k**2 - 1. Factor b(z).
-5*z*(z - 7)*(z + 1)
Let s(l) be the second derivative of 27*l + 3/4*l**5 - 5/12*l**4 + 0*l**6 + 0*l**2 + 0*l**3 + 0 - 10/21*l**7. Determine j, given that s(j) = 0.
-1, 0, 1/2
Let a(y) be the third derivative of 95