(-1*(-600)/90)/(5/4). Find b, given that -w - 6348*b**2 - 368*b = 0.
-2/69
Let b(m) be the third derivative of m**8/10080 - m**7/630 - 7*m**6/120 + m**5/20 - 61*m**4/24 + 112*m**2. Let s(k) be the third derivative of b(k). Factor s(o).
2*(o - 7)*(o + 3)
Let -783*z - 357/4*z**2 - 5/2*z**3 + 243 = 0. What is z?
-18, 3/10
Find m such that 3900*m**3 - 845*m**4 + 14215*m**2 - 196 - 19755*m**2 - 124 + 2400*m = 0.
4/13, 2
Let u(x) be the first derivative of -2*x**5/25 + 39*x**4/5 - 902*x**3/5 - 6724*x**2/5 - 1103. Factor u(a).
-2*a*(a - 41)**2*(a + 4)/5
Let q(z) be the second derivative of -z**4/60 - 23*z**3/30 - 1712*z. Factor q(m).
-m*(m + 23)/5
Let n = 53 + -59. Let f be -1 + -5 + 11 - 6 - n. Solve -1/2*j + 1/2*j**f + 0 - j**4 + j**2 + 0*j**3 = 0.
-1, 0, 1
Let f(i) = i**3 - 6*i**2 - 9*i - 21. Let l(w) = w**3 - 5*w**2 - 8*w - 18. Let z(h) = 6*f(h) - 7*l(h). Factor z(o).
-o*(o - 1)*(o + 2)
Let h(n) be the first derivative of -n**3/21 + n**2 - 33*n/7 - 589. Determine d so that h(d) = 0.
3, 11
Let o be 54/55 + (-820)/1025. Determine r so that 8/11 + 2/11*r**4 - 10/11*r**3 - 10/11*r**2 + 8/11*r + o*r**5 = 0.
-2, -1, 1, 2
Let c be 4366/9102 - (-54)/(-369). Let 4*l + 20/3 + c*l**2 = 0. What is l?
-10, -2
Let c(d) be the third derivative of 11/240*d**5 + 0*d - 163/96*d**4 - 5/4*d**3 + 0 + 212*d**2. Factor c(b).
(b - 15)*(11*b + 2)/4
Determine i, given that -3*i**5 - 6113 + 2749*i**2 - 5159*i**2 - 117*i**4 - 799 - 1485*i**3 - 4433*i**2 - 12384*i = 0.
-16, -3, -1
Let p = -2 - -4. Let f(d) = -2*d**3 + 23*d**2 - 68*d + 209. Let b be f(9). Factor -1/2*y**b - 2*y - p.
-(y + 2)**2/2
Let a = 7181 + -7181. Let m(v) be the second derivative of -16*v + 10*v**2 + v**4 - 32/3*v**3 + a. Let m(j) = 0. Calculate j.
1/3, 5
Let j = -3100 + 34105/11. Let c(u) be the first derivative of -j*u**2 - 1/22*u**4 - 4/11*u + 8/11*u**3 + 18 - 8/55*u**5. Suppose c(f) = 0. What is f?
-2, -1/4, 1
Let a(v) = -v**3 - 65*v**2 + v + 69. Let y(q) = -q**2 + 16*q - 43. Let u be y(13). Let l(m) = 65*m**2 - 70. Let i(r) = u*l(r) - 5*a(r). Factor i(g).
5*(g - 1)*(g + 1)*(g + 13)
Let m(r) = -40*r**5 - 235*r**4 - 40*r**3 + 190*r**2 + 25. Let q(o) = -5*o**5 - 29*o**4 - 5*o**3 + 24*o**2 + 3. Let k(l) = 3*m(l) - 25*q(l). Factor k(c).
5*c**2*(c - 1)*(c + 2)*(c + 3)
Solve 202/5*n - 412/5 + 2/5*n**2 = 0 for n.
-103, 2
Let z(q) be the third derivative of -112/15*q**3 + 0*q - 2/3*q**4 + 1/150*q**5 + 1/300*q**6 + 0 + 70*q**2. Factor z(l).
2*(l - 7)*(l + 4)**2/5
Suppose 6*i - i - 19 = 3*y, -2*i + 6 = -2*y. Suppose 0 = -2*q + 3*s + 13, -3 - 2 = i*q + 5*s. Solve -3*c**3 - 36*c + 9*c**q + 16 + 23 + 9*c**2 - 15 = 0 for c.
2
Let w(k) be the second derivative of 5*k**4 - 60*k + 0*k**2 + 0 - 7/6*k**6 - 10/3*k**3 + 9/4*k**5. Determine l, given that w(l) = 0.
-1, 0, 2/7, 2
Let u = -532527/7 + 76077. Solve 8/7*m**2 + 18/7*m**3 + 0 + 0*m + u*m**4 + 2/7*m**5 = 0 for m.
-4, -1, 0
Let y be (-184)/576 + (-2)/(-6). Let g(a) be the third derivative of 1/540*a**5 + 0 + 0*a - 2/27*a**3 - 15*a**2 - y*a**4. Factor g(h).
(h - 4)*(h + 1)/9
Suppose -279*s - 31 = -m - 282*s, 4*m + 3*s = 97. Let u(h) be the first derivative of 9*h**4 - 3/5*h - 3*h**5 - 46/5*h**3 - m + 18/5*h**2. Solve u(q) = 0.
1/5, 1
Let r = 943 - 33947/36. Let i(u) be the second derivative of 0 - 1/2*u**2 - 2*u - 2/9*u**3 - r*u**4. Factor i(z).
-(z + 1)*(z + 3)/3
Let v = 2213 + -22129/10. Let t(h) be the second derivative of -1/4*h**4 + 0 + 0*h**2 + v*h**6 - 2*h + 0*h**3 + 0*h**5. Suppose t(x) = 0. What is x?
-1, 0, 1
Let q be (71874/(-46585))/(6/(-28)). Factor 3/5*u**2 - q + 33/5*u.
3*(u - 1)*(u + 12)/5
Let o(j) = 10*j**3 - 670*j**2 + 24708*j + 242202. Let y(h) = -19*h**3 + 1339*h**2 - 49416*h - 484405. Let x(b) = 11*o(b) + 6*y(b). Factor x(r).
-4*(r - 87)**2*(r + 8)
Let u(l) be the first derivative of -3*l**4 + 728*l**3/3 + 1710*l**2 - 2600*l + 2439. Factor u(q).
-4*(q - 65)*(q + 5)*(3*q - 2)
Let b(r) = -r**2 + 12*r - 31. Let k be b(7). Factor 3*g**5 + 3*g**4 + 3*g**3 - 4*g**5 - k*g**3 - g**4.
-g**3*(g - 1)**2
Let u be (2/(-3))/(4/(-18)) - 1. Factor -16 - z**5 - 866*z**u + 9*z**4 + 432*z**2 + 441*z**2 + 24*z - 23*z**3.
-(z - 4)**2*(z - 1)**2*(z + 1)
Let p(y) = y**2 + 27*y + 77. Let o be p(-24). Solve o*z**5 + 10*z**4 + 65*z**2 + 15*z**3 - 60 - 14*z**4 - 21*z**4 + 166*z - 206*z = 0 for z.
-1, 2, 3
Let u = 147 - 143. Factor 40*a**u - 3*a**5 - 35*a**3 + 32*a**3 - 34*a**4.
-3*a**3*(a - 1)**2
Let k be ((-60)/(-23680))/(3 - 12/2). Let z = 4741/5920 + k. Factor -1/5*o**3 - z*o + 4/5*o**2 + 0.
-o*(o - 2)**2/5
Let c(p) be the first derivative of 15*p**4 + 34*p**2 - 98 - 124/3*p**3 - 4*p. Determine f, given that c(f) = 0.
1/15, 1
Let g(c) = c**3 + 22*c**2 - 1559*c + 56. Let w be g(-52). Factor -8 - 1/2*h**2 + w*h.
-(h - 4)**2/2
Let o(m) be the first derivative of 0*m - 3/2*m**4 + 50 + 2/5*m**5 - 6*m**3 + 27*m**2. Suppose o(c) = 0. Calculate c.
-3, 0, 3
Let l be 3 + (-28)/(-16) + 6/(-8). What is d in 720 + 104*d - 84 + 40 + l*d**2 = 0?
-13
Let y(n) be the second derivative of -n**5/4 - 1025*n**4/4 - 156045*n**3/2 + 1432215*n**2/2 + 3236*n + 1. Factor y(c).
-5*(c - 3)*(c + 309)**2
Suppose 0 = 3*n - 8118 + 8094, -2*n + 28 = -3*l + 3*n. Factor t**2 - 1/2 - 1/2*t**5 + t**3 - 1/2*t**l - 1/2*t.
-(t - 1)**2*(t + 1)**3/2
Let h be (0 - 4/2) + 4. Suppose 5*z = k - 17, -z - 4 + 3 = k. Factor -9 + h*i + 9 + k*i**4 - 2*i**2 - 7*i**3 + 5*i**3.
2*i*(i - 1)**2*(i + 1)
Let x be (-9 - -145*19/285)/(16/19494). Let -x + 57/2*y - 1/4*y**2 = 0. What is y?
57
Let g(z) = -7*z**3 - 20*z**2 - 59*z - 21. Let h(d) = 3*d**3 + 11*d**2 + 29*d + 11. Let m(f) = 6*g(f) + 15*h(f). Factor m(w).
3*(w + 1)**2*(w + 13)
Let h = -55 - -50. Let q be (-72)/h - (-5 - (-44)/10). Suppose 14*n - q + 45 + 5*n**2 - 39*n = 0. What is n?
2, 3
Let d(a) be the second derivative of 3*a**5/20 + 41*a**4/4 - 281*a**3 + 780*a**2 - 5530*a. What is h in d(h) = 0?
-52, 1, 10
Let y(k) be the second derivative of -5*k**4/12 - 4115*k**3/3 - 3386645*k**2/2 - 499*k. Factor y(u).
-5*(u + 823)**2
Let m(g) be the first derivative of g**3/9 + 5*g**2/3 + 7*g + 979. Suppose m(n) = 0. What is n?
-7, -3
Factor 25*g**3 + 22632*g - 3530*g**2 - 1278*g**2 - 57760 + 998*g**2 - 3628*g + 126916*g.
5*(g - 76)**2*(5*g - 2)
Let r(z) be the second derivative of 0*z**3 + 0*z**2 - 1 - 5/6*z**4 - 24*z + 1/80*z**5. Suppose r(j) = 0. Calculate j.
0, 40
Let a(o) be the first derivative of o**4/3 - 8*o**3/3 - 182*o**2/3 - 644. Solve a(u) = 0.
-7, 0, 13
Suppose 0 = -3*j + 2*z + 251, -3*j - 3*z = -6*z - 249. Solve -415*p - 335 + 10*p**2 - 5*p**2 + j*p = 0.
-1, 67
Let l = 923/5656 - -99/808. Factor -32/7*h + l*h**2 + 30/7.
2*(h - 15)*(h - 1)/7
Solve -120409/2 + 347*a - 1/2*a**2 = 0.
347
Let j(y) be the first derivative of 1/10*y**4 + 21/5*y**2 + 68 + 4/3*y**3 + 0*y. Let j(l) = 0. Calculate l.
-7, -3, 0
Factor -255*f**2 + 380*f**4 - 185*f**4 + 12*f**3 - 192*f**4 - 264*f.
3*f*(f - 8)*(f + 1)*(f + 11)
Let f(h) = -h**2 - 677*h - 110662. Let z be f(-283). Determine w so that -2/9*w**4 + 214/9*w**3 + 9504*w + 10368 - z*w**2 = 0.
-1, 36
Let y = -4491 - -4494. Let r(c) be the second derivative of y*c**2 - 34*c + 4/3*c**3 + 0 + 1/6*c**4. Solve r(o) = 0 for o.
-3, -1
Let t(n) be the second derivative of n**7/105 + 7*n**6/75 + 3*n**5/50 - 31*n**4/30 + 4*n**3/3 + 20*n - 26. Determine w, given that t(w) = 0.
-5, -4, 0, 1
Suppose 1509 = 76*w + 1129. Let l(r) be the third derivative of 0*r**3 + 3/2*r**4 + 1/120*r**6 + 0 - 1/5*r**w + 42*r**2 + 0*r. Factor l(p).
p*(p - 6)**2
Factor 1730*k + 299290 + 5/2*k**2.
5*(k + 346)**2/2
Let h be ((-6)/(-8))/((-305)/3904)*(2 - 98/44). Find z such that 8/11*z**5 - 8/11 - 38/11*z**3 + 30/11*z - 16/11*z**2 + h*z**4 = 0.
-4, -1, 1/2, 1
Let j(q) be the first derivative of 3*q**6 + 336*q**5/5 + 109*q**4/2 + 12*q**3 + 1687. Factor j(l).
2*l**2*(l + 18)*(3*l + 1)**2
Let l be ((-75)/(-10))/((-6)/(-4) - 1). Suppose -p - 9 - 1 = 3*u, -3*u = l. Factor -z**3 + 23*z - 11 + 2 - 17*z - 3*z**4 - p*z**3 + 12*z**2.
-3*(z - 1)**2*(z + 1)*(z + 3)
Let y = 6011/44 + -1500/11. Let g(m) be the second derivative of 0 + 18*m + y*m**4 - 2*m**3 + 9/2*m**2. Factor g(i).
3*(i - 3)*(i - 1)
Let d be 44/(-24) - (17 + (-3406)/156). Solve -16/7*n**2 + 4/7*n + 16/7 - 4/7*n**d = 0.
-4, -1, 1
Let l = -686830 + 1373663/2. Factor -15/2*v + l + 6*v**2.
3*(v - 1)*(4*v - 1)/2
Factor 