e 0 = 81*r - 125*r - 528. Let l be 161/92 + 21/r. Factor 7/4*m**5 + 3*m**4 + 0*m - m**3 + l + 0*m**2.
m**3*(m + 2)*(7*m - 2)/4
Let q be -13 + 12 - 1793/(-5). Let y = q - 355. Factor -8/5*j**4 + 28/5*j**3 - 2/5 - 6*j**2 + y*j.
-(j - 2)*(2*j - 1)**3/5
Let z = -668169/25 + 26727. Let -2/25*a**2 + 4/5 - z*a = 0. Calculate a.
-5, 2
Let u(q) = 4819*q - 19273. Let z be u(4). Factor 1125/4*b + 625/4 + 85/2*b**z + 325/2*b**2 + 21/4*b**4 + 1/4*b**5.
(b + 1)*(b + 5)**4/4
Let c(p) = 2*p**2 + 6*p - 19. Let x be c(4). Let 63*q - 205*q**2 + 55*q**4 - 147*q**3 + x*q**3 - 95*q**2 + 97*q**5 + 297*q - 102*q**5 = 0. What is q?
-2, 0, 1, 6
Let u = 1/7700 + 12319/7700. Factor -u + 2/5*s**2 + 0*s.
2*(s - 2)*(s + 2)/5
Let x = 13383/2 + -254273/38. Let u = -5 + 8. Suppose 0*v - x*v**4 - 8/19*v**u - 8/19*v**2 + 0 = 0. What is v?
-2, 0
Factor -1/2*c**4 + 165/2*c + 19/2*c**3 + 0 - 103/2*c**2.
-c*(c - 11)*(c - 5)*(c - 3)/2
Let t(h) = h**2 - 2443*h + 1646086. Let l(f) = f**2 - 2402*f + 1646085. Let y(k) = 3*l(k) - 4*t(k). Factor y(p).
-(p - 1283)**2
Let j = 28/7705 - -115379/53935. Factor -6/7 - j*r - 12/7*r**2 - 3/7*r**3.
-3*(r + 1)**2*(r + 2)/7
Let g(b) be the second derivative of -2/3*b**4 + 0 + 36*b + 5/3*b**3 - b**2. Factor g(r).
-2*(r - 1)*(4*r - 1)
Factor 530/3*b**3 + 535/3*b - 800/3*b**2 - 1/3*b**5 - 134/3 - 130/3*b**4.
-(b - 1)**4*(b + 134)/3
Let l be (-19020)/(-480) + -37 - (-3)/8. Factor -6/5*d - 12/5*d**3 + 0 - 3/5*d**4 - l*d**2.
-3*d*(d + 1)**2*(d + 2)/5
Determine f so that 4/9*f**2 + 1898/9*f + 316/3 = 0.
-474, -1/2
Let t = -2887 + 2259. Let b = t - -628. Factor b - 1/3*s**2 - 2/3*s.
-s*(s + 2)/3
Let y(q) = -q**2 - q + 2. Let t = 253 + -247. Let c(o) = -o**4 - 10*o**3 - 5*o**2 + 4*o + 12. Let k(s) = t*y(s) - c(s). Factor k(l).
l*(l - 1)*(l + 1)*(l + 10)
Let y be (3/((-675)/10))/((-84)/20 - -4). Let 2/9*c - y*c**3 + 0 + 2/9*c**2 - 2/9*c**4 = 0. Calculate c.
-1, 0, 1
Let u be (-1 - 2)*(-14)/3. Let k be 2*9*u/273. Factor -2/13*s**2 - k + 14/13*s.
-2*(s - 6)*(s - 1)/13
Factor 42 + 19/6*j - 1/6*j**2.
-(j - 28)*(j + 9)/6
Let x(d) be the third derivative of 17/24*d**4 + 1/2*d**3 - 33*d**2 + 0 - 1/10*d**5 + 0*d. Factor x(v).
-(v - 3)*(6*v + 1)
Let p(l) be the second derivative of -11*l**6/40 - 333*l**5/40 - 5*l**4/2 - 1029*l. Find m such that p(m) = 0.
-20, -2/11, 0
Suppose 2*g - 322 = -g + s, 5*g = -4*s + 514. Factor 22*x**3 + 20*x**2 - g*x + 126*x + 5*x**2 - 17*x**3.
5*x*(x + 1)*(x + 4)
Let f(y) be the first derivative of y**7/420 - y**6/60 + y**5/30 - 40*y**3/3 + 59. Let u(k) be the third derivative of f(k). Factor u(q).
2*q*(q - 2)*(q - 1)
Let o be ((-75)/40)/(423/(-291024)). Factor 6936/5 + 303*u**3 + 2244*u + 24*u**4 + o*u**2 + 3/5*u**5.
3*(u + 2)**3*(u + 17)**2/5
Factor r**5 - 26*r**3 + 28*r + 46 + 85*r - 22*r**4 + 2358*r**2 - 2294*r**2.
(r - 23)*(r - 2)*(r + 1)**3
Suppose g - 68 = -5*i, 3*i + 0*i = 4*g - 157. Determine k so that 11*k**2 - 13*k**2 - g + 13 + 32*k = 0.
1, 15
Let l(c) = 15*c**2 - 280*c - 1300. Let g(t) be the third derivative of t**5/30 - 35*t**4/24 - 27*t**3 - 69*t**2 - t. Let d(f) = -25*g(f) + 3*l(f). Factor d(q).
-5*(q - 10)*(q + 3)
Let q(y) be the first derivative of -1/14*y**4 - 7 - 1/140*y**5 - 2*y**2 + 0*y - 2/7*y**3. Let i(g) be the second derivative of q(g). Factor i(t).
-3*(t + 2)**2/7
Suppose -t = 3*f - 3, -2*f = 2*t + 2*t - 42. Factor -8*z + 4*z**3 + 5*z**5 - 8*z**5 + 7*z**5 + t*z**4 - 12*z**2.
4*z*(z - 1)*(z + 1)**2*(z + 2)
Let x = 200411 + -200409. What is t in 2/5*t**x + 0 + 64/5*t = 0?
-32, 0
Suppose 3*l - 5*i - 1925 = -2*l, -i = -4*l + 1531. Factor -545 + l - 737 + 120*r - 4*r**2.
-4*(r - 15)**2
Let p(w) = -w**3 - 7*w**2 - 1. Let h(u) = -8*u**3 - 76*u**2 + 144*u + 444. Let c(k) = h(k) - 4*p(k). Factor c(a).
-4*(a - 4)*(a + 2)*(a + 14)
Suppose -20*m = -21*m - q, 0 = -m + 4*q + 5. Let h be -8 - ((-16)/m - -8). Factor -3/5*l**3 + 36/5*l + h*l**2 - 48/5.
-3*(l - 2)**2*(l + 4)/5
Let f(z) = -103*z**2 - 25830*z + 19423. Let g(v) = -17*v**2 - 4305*v + 3237. Let l(u) = -3*f(u) + 17*g(u). Find j, given that l(j) = 0.
-216, 3/4
Let m(b) = b**2 - 175*b + 321. Let n(p) = -p**2 + 175*p - 370. Let q(z) = 4*m(z) + 3*n(z). Let q(y) = 0. What is y?
1, 174
Let j(d) be the third derivative of 1/210*d**5 + 1/12*d**4 + 2/7*d**3 - d**2 + 0 - 39*d. Suppose j(q) = 0. What is q?
-6, -1
Let f(p) = -93*p - 1206. Let d be f(-13). Let k = 40 - 24. Suppose 23*z - 45*z**3 - d*z - 44*z**2 + k*z**4 - 16*z**2 + 19*z**4 = 0. Calculate z.
-1, 0, 2/7, 2
Factor -1/5*q - 13/5 + 1/5*q**3 + 13/5*q**2.
(q - 1)*(q + 1)*(q + 13)/5
Let s be (172/(-387))/(8/(-6)). Let u = 297 - 890/3. Find o, given that 5/3*o + o**2 + 2/3 - u*o**4 - s*o**3 = 0.
-1, 2
Let k = -2793724/11 + 253976. Factor k + 10/11*l + 2/11*l**2.
2*(l + 2)*(l + 3)/11
Let w(v) = 3*v**2 + 42*v + 33. Let f = 151 + -146. Let k(q) = 3*q**2 + 41*q + 33. Let y(p) = f*w(p) - 6*k(p). Suppose y(h) = 0. What is h?
-11, -1
Factor -2/7*w + 0 + 19/7*w**2 - 17/7*w**3.
-w*(w - 1)*(17*w - 2)/7
Find t, given that t**2 + 6*t - 9/2*t**3 + 1/4*t**5 + 3/4*t**4 + 0 = 0.
-6, -1, 0, 2
Let t be 12355/9178 + (18/(-39))/(-3). Factor 33/2*g**3 + 5/2*g**4 + 41/2*g**2 + t*g - 5.
(g + 1)**2*(g + 5)*(5*g - 2)/2
Let f(h) = -6*h**4 + 36*h**3 - 10*h**2 - 44*h + 24. Let t(c) = 2*c**4 - 12*c**3 + 4*c**2 + 15*c - 9. Let m(k) = 3*f(k) + 8*t(k). Factor m(p).
-2*p*(p - 6)*(p - 1)*(p + 1)
Let g(z) = -4*z + 31. Let h be g(6). Let m(c) = -2*c**2 - 10*c. Let w be m(-4). Find x, given that -x**2 + 2*x**3 + h*x**3 - 1 + 2*x**2 - x - w*x**3 = 0.
-1, 1
Let c be 78/(-351) - ((-94)/9)/2. Let l be 6/(7 - c) + 0. Solve 75/8 + 105/8*q + 33/8*q**2 + 3/8*q**l = 0.
-5, -1
Let b(r) be the first derivative of r**7/280 + 11*r**6/160 + r**2/2 - 121*r + 100. Let q(d) be the second derivative of b(d). Factor q(x).
3*x**3*(x + 11)/4
Let v = 851/2761 + 128/251. Let l(k) be the first derivative of 0*k**2 - 2/11*k**5 + 0*k + v*k**4 - 3 + 16/33*k**3. Solve l(h) = 0.
-2/5, 0, 4
Let m = 2687/1788 - 5/1788. Let h(t) be the second derivative of 0*t**3 + 3/4*t**4 - m*t**2 + 0 - 28*t - 3/10*t**5. Factor h(f).
-3*(f - 1)**2*(2*f + 1)
Let w = 156323/1407069 - -2/156341. Factor -4/9*f**3 + 0 + 0*f**2 + 0*f - w*f**4.
-f**3*(f + 4)/9
Factor -2/5*d**2 - 108/5 + 58/5*d.
-2*(d - 27)*(d - 2)/5
Let c be (-10)/((96/576)/(2 - 205/100)). Solve 0 - 11/3*j**c - 4*j**2 - 4/9*j**4 - 7/9*j = 0.
-7, -1, -1/4, 0
Let j = 1031 + -575. Let c be j/(-60) + 2 + 6. Solve -6/5*x**2 - c*x**3 - 2/5 - 6/5*x = 0.
-1
Suppose g + 3*y = 26, 2*g - 20*y + 18*y = -12. Find u such that 96/5*u + 1152/5 + 2/5*u**g = 0.
-24
Let h(z) be the first derivative of z**6/6 + 12*z**5/5 - 3*z**4/4 - 34*z**3/3 + 12*z**2 - 2195. Factor h(p).
p*(p - 1)**2*(p + 2)*(p + 12)
Factor -4269*x**2 - 3700*x + 3695 + 2110*x**2 + 2164*x**2.
5*(x - 739)*(x - 1)
Let v(t) be the first derivative of -t**4/8 - 37*t**3/3 + t**2/4 + 37*t - 231. Solve v(n) = 0 for n.
-74, -1, 1
Suppose 4*i - 4 = -0*i. Let n(x) = 2*x**2 + 2*x - 1. Let b be n(i). Factor -3*q - q - b*q**2 + q.
-3*q*(q + 1)
Let z(a) be the first derivative of 2*a**5/45 - 17*a**4/6 - 106*a**3/9 - 161*a**2/9 - 12*a + 4597. Factor z(j).
2*(j - 54)*(j + 1)**3/9
Let q(k) = -6*k**3 - 17*k**2 - 31*k - 37. Let b be ((-16)/6)/(2*4/12). Let g(h) = h**3 + h**2 - h + 1. Let r(n) = b*q(n) - 20*g(n). Let r(v) = 0. Calculate v.
-8, -2
Factor 6685*p**4 + 874*p + 349*p**2 - 28*p**3 + 498*p**2 - 6686*p**4.
-p*(p - 19)*(p + 1)*(p + 46)
Let o(y) be the second derivative of -y**4/126 + 4*y**3/63 + 95*y**2/7 + 17*y - 19. Factor o(x).
-2*(x - 19)*(x + 15)/21
Let f(m) be the first derivative of -m**4/20 + 16*m**3/5 - 891. Factor f(c).
-c**2*(c - 48)/5
Let x(n) = -9*n**3 - 137*n**2 - 132*n + 264. Let j(w) = -13*w**3 - 138*w**2 - 132*w + 262. Let q(b) = 2*j(b) - 3*x(b). Factor q(d).
(d - 1)*(d + 2)*(d + 134)
Find l such that 42 - 17/4*l - 1/4*l**2 = 0.
-24, 7
Let m = -5/56122 - 80029/361594046. Let t = 21226/6443 + m. Let -2*u + 4/17 - 26/17*u**3 + t*u**2 = 0. Calculate u.
2/13, 1
Factor -12*b**3 + 68*b**3 + 0 - 20*b**4 - 90*b + 0 - 8417*b**5 - 12*b**2 + 8419*b**5.
2*b*(b - 5)*(b - 3)**2*(b + 1)
Let a(h) be the first derivative of 11 - 2*h**4 - 2/3*h**2 + 16/9*h**3 + 0*h + 16/15*h**5 - 2/9*h**6. Suppose a(i) = 0. What is i?
0, 1
Let g be (-4)/(-54)*1*15. Let p be 264/(-1716) + 122/117. Let g*h - 4/9 + 2/9*h**3 - 