 - 529*v**3. Let f(b) = -5*g(b) + 4*l(b). Find z, given that f(z) = 0.
-16, 0, 1
Factor -369/4*k - 195/4*k**2 + 567/4 - 3/4*k**3.
-3*(k - 1)*(k + 3)*(k + 63)/4
Let a(y) be the second derivative of -y**4/4 + 21*y**3/2 + 108*y**2 - 1068*y. Factor a(g).
-3*(g - 24)*(g + 3)
Suppose -3*l = -2*q - 5 + 18, -q - 5*l = 13. What is v in 25*v**5 + 28*v**3 - 4*v**4 - 63*v**3 - 18*v**4 + 10*v + 13*v**q + 2*v**2 + 7*v**4 = 0?
-1, -2/5, 0, 1
Let s be (-4)/(-104)*-8*(-11 + 126/28). Suppose -1/2*o**4 + 0 - 3/2*o**3 + o + 1/2*o**s + 1/2*o**5 = 0. Calculate o.
-1, 0, 1, 2
Let w be -8 + (0 - (-7 + 36/(-9))). Let l(s) be the first derivative of 0*s - 2/5*s**w + 1/10*s**6 + 0*s**2 + 8 - 9/20*s**4 + 0*s**5. Factor l(z).
3*z**2*(z - 2)*(z + 1)**2/5
Let q(g) = -3*g**2 + 12*g - 6. Let h(c) = 5*c**2 - 23*c + 11. Suppose 18*d - 19*d = 34. Let z = -40 - d. Let w(x) = z*h(x) - 11*q(x). Factor w(v).
3*v*(v + 2)
Let h = 3199/1077 + -468/359. Factor 4/3 + 8/3*j - h*j**2.
-(j - 2)*(5*j + 2)/3
Factor -15968*m**2 + 231*m**4 + 116*m**5 - 22200*m**3 + 68*m**4 - 6532*m**2 - 117*m**5.
-m**2*(m - 150)**2*(m + 1)
Let d = -181114/9 - -20124. Let r(v) be the first derivative of -d*v**3 + 1/3*v**5 - 12 + 0*v**2 + 0*v + 1/4*v**4. Factor r(m).
m**2*(m + 1)*(5*m - 2)/3
Let o = -386 + 425. Suppose -o*c = 20*c. Factor c - 1/3*y**3 + 5/3*y**2 - 4/3*y.
-y*(y - 4)*(y - 1)/3
Let v = -866 + 866. Let f(o) be the first derivative of 0*o**2 - 2/7*o**3 + 3 + v*o - 9/28*o**4. Factor f(w).
-3*w**2*(3*w + 2)/7
Let 1/3*c**5 + 25/4*c**4 - 121/4*c**2 + 0 - 407/12*c**3 + 115/12*c = 0. Calculate c.
-23, -1, 0, 1/4, 5
Let q(w) = -3*w**2 + 1208*w - 123632. Let p(y) = -12*y**2 + 4830*y - 494529. Let n(g) = -5*p(g) + 21*q(g). Find v such that n(v) = 0.
203
Let l be (-56)/16*2/(-28) - 1925/(-300). Let v be 6/15 - 26/(-10). Factor 2 + 2/3*n**4 + 4*n**v + 8*n**2 + l*n.
2*(n + 1)**3*(n + 3)/3
Let t(l) = -l**3 + 6*l**2 + 12*l - 20. Let c be t(8). Let u = c - -55. Suppose -3 - 57*s**u - 90*s**3 - 17 - 4 - 210*s**2 + 156*s = 0. What is s?
-2, 2/7
Let h(w) be the third derivative of 16*w**2 - 1/20*w**6 + 0 + 0*w**3 + 0*w - 5/4*w**5 + 13/8*w**4. Factor h(z).
-3*z*(z + 13)*(2*z - 1)
Solve 152 - 2*r**2 + 72*r + 18 + 62 + 88 = 0 for r.
-4, 40
Let z(k) be the second derivative of -3*k**5/70 - 43*k**4/28 - 30*k**3/7 + 3129*k. Factor z(g).
-3*g*(g + 20)*(2*g + 3)/7
What is s in 1/4*s**3 - 1953125/4 - 375/4*s**2 + 46875/4*s = 0?
125
Let l = 111 - 21. Suppose -44*s + 39*s + l = 0. Factor -33*j**2 + s*j**2 - 3*j**3 + 6*j + 18*j**2.
-3*j*(j - 2)*(j + 1)
Let y be (7 + -2)*3/(-2)*-22*(-33)/(-1089). Suppose 5/4*r**4 + 1/4*r**y - r**2 + 3/2*r**3 + 0 - 2*r = 0. What is r?
-2, 0, 1
Suppose -8/3*h**3 - 4/3*h**4 - 16/3*h + 28/3*h**2 + 0 = 0. Calculate h.
-4, 0, 1
Let z(s) = 12*s**2 - 544*s - 72. Let f(n) = -5*n**2 + 181*n + 27. Let a(u) = -8*f(u) - 3*z(u). Factor a(j).
4*j*(j + 46)
Let h(k) be the third derivative of -k**7/945 + k**6/45 + 23*k**5/135 - k**4/9 - 5*k**3/3 - 4*k**2 + 511*k. Let h(m) = 0. What is m?
-3, -1, 1, 15
Let z = 223 - 219. Let z*d**3 - 5*d**4 + 5*d**5 + d**5 + 8*d**3 + 27*d**4 = 0. Calculate d.
-3, -2/3, 0
Let o(q) = 26*q**2 - 58*q + 48. Let f(s) = -106*s**2 + 231*s - 197. Let p(z) = 4*f(z) + 18*o(z). Factor p(m).
4*(m - 1)*(11*m - 19)
Let v = 26824 - 26821. Suppose -2/15*d**v + 4/3*d - 16/15 - 2/15*d**2 = 0. Calculate d.
-4, 1, 2
Let w(m) be the first derivative of m**6/540 - 19*m**5/90 + 361*m**4/36 - 43*m**3/3 + 66. Let b(i) be the third derivative of w(i). Factor b(q).
2*(q - 19)**2/3
Let k(l) = 32*l**3 + 786*l**2 + 1593*l + 787. Let z(u) = -15*u**3 - 393*u**2 - 795*u - 393. Let s(q) = 6*k(q) + 13*z(q). Determine p, given that s(p) = 0.
-129, -1
Let i(r) be the first derivative of -4/45*r**3 + 1/10*r**4 + 0*r**5 + 0*r - 37 + 0*r**2 - 1/45*r**6. What is l in i(l) = 0?
-2, 0, 1
Suppose 13 = 3*c + z + 1, z - 20 = -5*c. Factor 31 + 25 - c*q**3 + 4*q - 3*q**2 - 52 - q**4.
-(q - 1)*(q + 1)*(q + 2)**2
Let t(p) be the second derivative of 1/30*p**5 - 1/9*p**3 - 2*p**2 - 1/45*p**6 - p + 7/18*p**4 - 32. Let t(m) = 0. What is m?
-2, -1, 1, 3
Let b(n) be the first derivative of -n**3/9 - 91*n**2/3 + 61*n + 837. Suppose b(f) = 0. Calculate f.
-183, 1
Let t(o) be the first derivative of -o**6/2 + 186*o**5/5 - 90*o**4 - 686. Solve t(c) = 0.
0, 2, 60
Suppose 120*h = -285*h + 87*h. Let p(v) be the second derivative of h - 1/15*v**3 - 24*v + 1/30*v**4 - 2/5*v**2. Suppose p(x) = 0. Calculate x.
-1, 2
Let z(q) be the second derivative of -q**8/112 - 3*q**7/35 - 9*q**6/40 - q**5/5 - 19*q**2/2 - 2*q + 3. Let p(c) be the first derivative of z(c). Factor p(y).
-3*y**2*(y + 1)**2*(y + 4)
Factor 82*o + o**2 - 5*o**2 + 23*o**2 - 8*o**2 + 84 - 13*o**2.
-2*(o - 42)*(o + 1)
Let s(o) be the first derivative of 10/3*o**3 - 1/264*o**4 + 0*o**2 + 0*o + 1/660*o**5 - 1/3960*o**6 + 2. Let q(r) be the third derivative of s(r). Factor q(b).
-(b - 1)**2/11
Factor 5 - 23/3*g + 2*g**2.
(g - 3)*(6*g - 5)/3
Determine t so that -44/7*t**2 - 1068/7*t + 3240/7 = 0.
-27, 30/11
Factor -28/3*x**5 - 332/3*x**4 - 488*x**3 + 108 - 612*x - 936*x**2.
-4*(x + 3)**4*(7*x - 1)/3
Solve 1610/13*o**2 - 1608/13 + 800/13*o - 2/13*o**4 - 800/13*o**3 = 0 for o.
-402, -1, 1, 2
Let y be 0 + 25/28 + 1276/(-8932). Let x(w) be the second derivative of -5/6*w**3 + 5*w**2 - 5/3*w**4 + y*w**5 + 4*w + 0. Factor x(b).
5*(b - 1)**2*(3*b + 2)
Let k(w) be the first derivative of -4*w**3/3 + 52*w**2 - 420*w + 10552. Factor k(p).
-4*(p - 21)*(p - 5)
Suppose -6 = -s - s, 2*j = -5*s + 23. Suppose -3*q - 2*o + j = 0, -q + 4*o = 2*o - 4. Factor 0 + 1/2*n**q - n + 1/2*n**3.
n*(n - 1)*(n + 2)/2
Suppose 22*d - 16 = 28. Factor -6*p**2 + p**2 - 4*p**3 - 8*p - p**d - 6*p**2.
-4*p*(p + 1)*(p + 2)
Let h(l) be the first derivative of 20/9*l - 2/27*l**3 + 19 + l**2. Factor h(b).
-2*(b - 10)*(b + 1)/9
Let k(o) be the second derivative of -56169*o**5/40 - 356053*o**4/8 - 4504*o**3/3 - 19*o**2 - 3634*o. Factor k(g).
-(g + 19)*(237*g + 2)**2/2
Suppose 50*l - 12*l = 1824. Suppose l*s = 46*s. Factor s + 0*z - 1/2*z**2 - 2*z**3.
-z**2*(4*z + 1)/2
Suppose 2*f + 12*s - 8*s = 44, -5*f + 56 = s. Let c(l) be the third derivative of 0*l - 1/30*l**5 - 1/6*l**4 + f*l**2 + 0*l**3 + 0. Let c(q) = 0. Calculate q.
-2, 0
Let a = 350333 - 350331. Factor -74/5*h + 1369/5 + 1/5*h**a.
(h - 37)**2/5
Let i be 14/(-6)*(-14886)/17367. Determine j so that 0 + 3/4*j**i - 57/4*j = 0.
0, 19
Let a(p) be the first derivative of 2*p**5/45 - 7*p**4/6 + 16*p**3/3 - 68*p**2/9 - 1661. Factor a(u).
2*u*(u - 17)*(u - 2)**2/9
Let b(u) = -7*u**3 + 104*u**2 + 500*u + 520. Let w(y) = -190*y**3 + 2805*y**2 + 13500*y + 14040. Let x(a) = 55*b(a) - 2*w(a). Factor x(q).
-5*(q - 26)*(q + 2)**2
Let l(h) be the third derivative of -9/16*h**3 - 13/96*h**4 + 13/480*h**6 - 231*h**2 + 0 - 1/1680*h**7 + 7/120*h**5 + 0*h. Factor l(f).
-(f - 27)*(f - 1)*(f + 1)**2/8
Let f(z) be the second derivative of z**6/40 - 3*z**5/80 - 15*z**4/8 + 2717*z. Factor f(d).
3*d**2*(d - 6)*(d + 5)/4
Let t be ((-2)/(-3))/((-35)/(-315)). Factor t*w - 5596*w**2 + 0 + 5598*w**2 + 0.
2*w*(w + 3)
Let z = -5340 - -112142/21. Let p(i) be the first derivative of -3/14*i**2 + z*i**3 - 33 + 0*i + 1/28*i**4. Factor p(t).
t*(t - 1)*(t + 3)/7
Let p(g) be the second derivative of 0 - 5/2*g**2 + 56*g - 1/6*g**3 + 1/20*g**5 + 5/12*g**4. Factor p(u).
(u - 1)*(u + 1)*(u + 5)
Let r(f) = -20*f + 186. Let p be r(6). Let v be (4/p)/(39/351). Factor 24/11 + 18/11*s - v*s**2.
-6*(s - 4)*(s + 1)/11
Let n(z) be the third derivative of 0*z - 2/525*z**7 - 96/5*z**3 - 13/75*z**6 - 193/75*z**5 + 0 - 52/5*z**4 - 73*z**2. Factor n(w).
-4*(w + 1)**2*(w + 12)**2/5
Let y(d) be the second derivative of 21*d - 52/3*d**3 + 1/3*d**4 + 0 - 54*d**2. Suppose y(o) = 0. What is o?
-1, 27
Let a(x) be the first derivative of x**6/15 - 14*x**5/25 + x**4/2 + 22*x**3/3 - 126*x**2/5 + 144*x/5 - 244. Suppose a(w) = 0. Calculate w.
-3, 1, 2, 3, 4
Let f(b) be the first derivative of -3*b**4/4 - 56*b**3 - 600*b**2 - 2304*b + 3149. Determine z so that f(z) = 0.
-48, -4
Let y = 4309/20 - 215. Let h = y - 7/60. Factor 2/3*j**2 + h*j**3 + 0 + 1/3*j.
j*(j + 1)**2/3
Suppose -4*g + 107*g - 48 = 107 + 154. Determine h, given that 1/5*h**2 + 0 + 1/5*h**5 + 0*h + 3/5*h**g + 3/5*h**4 = 0.
-1, 0
Let a(i) be the third derivative of i**5/100 - 17