 -730. Let s be o/(-180)*8*20/(-102). Factor 0 - 2/17*q**3 - 6/17*q**2 - s*q.
-2*q*(q + 1)*(q + 2)/17
Factor 726/7*c**2 - 624/7*c - 15*c**3 + 0 + 3/7*c**4.
3*c*(c - 26)*(c - 8)*(c - 1)/7
Let n be (5/(-4))/((-1)/4). Suppose 0 = 2*v + 5*i + 11, 0*v - n*i - 17 = -v. Factor v - 3 + 2*k - 2*k**2 + 5.
-2*(k - 2)*(k + 1)
Let o = -114 - -132. Suppose 12*v - 3*v = o. Find x such that 15*x**3 + 25/3*x**4 + 0 + 8*x**v + 4/3*x = 0.
-1, -2/5, 0
Let z(h) be the first derivative of -h**3/18 - 28*h**2 + 337*h/6 + 747. Factor z(v).
-(v - 1)*(v + 337)/6
Let p(z) be the second derivative of -11/60*z**3 + 1/30*z**4 + 0 + 1/200*z**5 - 45*z + 3/10*z**2. Factor p(k).
(k - 1)**2*(k + 6)/10
Let w(j) be the first derivative of 1/15*j**6 + j**4 - 25 + 2/5*j**5 + 2/5*j + 4/3*j**3 + j**2. Factor w(u).
2*(u + 1)**5/5
Let i(d) = -10*d**2 + 23904*d - 14113440. Let p(t) = 5*t**2 - 11960*t + 7056720. Let k(l) = 5*i(l) + 9*p(l). Solve k(a) = 0 for a.
1188
Let l(r) = -r**3 + 13*r**2 + 33*r - 11. Let k be l(15). Factor -938*p**3 - 38*p - 52*p**2 - 98*p**4 - 460*p**2 - k*p.
-2*p*(p + 9)*(7*p + 2)**2
Let j(p) = p**2 + 14*p - 14. Let i be j(-14). Let k be ((-378)/(-49))/((-3)/i). Factor -5223 - 12*d - 39*d**3 + 5223 - 3*d**5 - k*d**2 - 18*d**4.
-3*d*(d + 1)**2*(d + 2)**2
Suppose 0 = -3*y - 2*s + 1072, 7*y - 1401 = 3*y + 3*s. Let p be y/63 - (-6)/(-21) - 2. Factor 25/3*t**4 + 0 + p*t + 35/3*t**2 + 15*t**3 + 5/3*t**5.
5*t*(t + 1)**3*(t + 2)/3
Factor 0 + 2/7*h**4 + 0*h - 208*h**2 - 4/7*h**3.
2*h**2*(h - 28)*(h + 26)/7
Let n be 0 + 6/((-6)/(-5)). Suppose -n*r + 22 = 2. Factor 4*y**4 + 1 - 20*y**3 - r + 12*y**2 + 20*y - 13.
4*(y - 4)*(y - 1)**2*(y + 1)
Let t(g) be the first derivative of g**4/7 - 23*g**3/21 - 5*g**2 - 16*g/7 + 914. Determine l, given that t(l) = 0.
-2, -1/4, 8
Let i(u) = 3 + 4*u - 8 + u**2 - u**3 - 5*u**2 - 6. Let c be i(-6). Let -7*p - 5*p**5 + 23 - 35*p**3 + 47*p - 5*p**2 + 25*p**4 - 6 - c = 0. Calculate p.
-1, 1, 2
Let r(w) be the second derivative of w**4/18 - 158*w**3/3 + 18723*w**2 - 8*w + 116. Let r(d) = 0. Calculate d.
237
Suppose 48*j + 5*j - 193*j + 21312 = 156*j. Find n such that 6*n**2 - 46/3*n**3 + 72 - 2/3*n**5 + j*n - 6*n**4 = 0.
-3, -2, 2
Let u(y) = 14*y**4 - 12*y**3 - 30*y**2 + 208*y - 48. Let m(s) = s**4 - 3*s**2 + 13*s. Let q(z) = 12*m(z) - u(z). Solve q(o) = 0 for o.
-2, 1, 3, 4
Let i = 234 - 232. What is y in -27*y**3 - 3*y**5 + 44*y - 11 - 535*y**2 - 13*y**3 - y**5 - 9 + 28*y**4 + 527*y**i = 0?
-1, 1, 5
Let s(r) be the second derivative of -3*r**6/10 - 219*r**5/20 + 25*r**4/2 + 1981*r. Factor s(a).
-3*a**2*(a + 25)*(3*a - 2)
Let g(x) be the second derivative of x**4/21 + 212*x**3 + 353934*x**2 - 5099*x. Factor g(z).
4*(z + 1113)**2/7
Let f(q) = -q**2 - 27*q + 16. Let r be f(-19). Suppose -15*s + r = -s. Factor -36*w + 23*w**3 - s*w**2 + 12*w**2 - 27*w**3 - 24*w**2.
-4*w*(w + 3)**2
Let f(j) be the third derivative of j**6/360 + j**5/6 + 9*j**4/8 + 2785*j**2. Factor f(w).
w*(w + 3)*(w + 27)/3
Let i(z) = -z**3 - 7*z**2 + 1. Let c be i(-7). Let g be 1*(-3 + 2)*(-3 + c). Factor -12*u**g + 8 - 2*u + 14*u**2 - 20.
2*(u - 3)*(u + 2)
Let m(u) = -u**2 - 42*u - 72. Let c(j) = -j**2 - j. Let h(v) = v**2 - 164*v - 288. Let y(s) = -4*c(s) - h(s). Let t(n) = 9*m(n) + 2*y(n). Factor t(g).
-3*(g + 2)*(g + 12)
Let t(z) be the third derivative of z**6/780 + 19*z**5/65 + 355*z**4/52 + 200*z**3/3 - 1316*z**2. Determine w, given that t(w) = 0.
-104, -5
Let l be -3*9/(-216) - -2*6/96. Factor 2*i**3 + 9/2*i**2 + l*i**4 + 0*i - 27/4.
(i - 1)*(i + 3)**3/4
Factor 496*b**3 + 2*b**5 - 102*b**4 + 812*b**3 + 7586*b - 7480*b**2 + 14*b**4 + 6864*b.
2*b*(b - 17)**2*(b - 5)**2
Let d(y) be the second derivative of y**5/80 + y**4/96 - y**3/6 + 21*y**2 - 3*y - 6. Let x(f) be the first derivative of d(f). Factor x(b).
(b - 1)*(3*b + 4)/4
Let b = 22 + -55/3. Suppose b*w**2 + 2/3 - 13/3*w = 0. What is w?
2/11, 1
Suppose -3*a + 25 = 2*a. Suppose 5*x - 112 - 9 = 2*p, 0 = 5*x - a*p - 115. Find o such that -62*o - 10*o**3 + x*o**2 + 82*o - 20 - 5*o**3 = 0.
-1, 2/3, 2
Let w be 36 + 6 + -30 + -9. Suppose 19/4*t**2 - 7*t - 1/4*t**4 - 1/2*t**w + 3 = 0. What is t?
-6, 1, 2
Let t(h) = h + 7. Let o be t(-6). Suppose -3*v = 2*k + v - 8, 0 = -3*k + 5*v + o. Solve -1/2 - 4*d**5 + 5/4*d + 16*d**4 + 7*d**k - 79/4*d**3 = 0 for d.
-1/4, 1/4, 1, 2
Let i(t) = -2*t**2 - 20*t - 16. Let w be i(-9). Let a be 1 - 2 - -1 - -2. Suppose -5 - 17*y - 16*y**a + w*y**3 + 3*y**3 + 2*y**3 + 11 = 0. What is y?
-1, 2/7, 3
What is x in 481*x - 16*x**2 + x**4 + 464*x - 933*x + 3*x**3 = 0?
-6, 0, 1, 2
Suppose 1373*l - 1800*l + 854 = 0. Let 0 + 195/8*p + 3/8*p**l = 0. What is p?
-65, 0
Factor -7790*v - 2*v**4 - 62*v**3 + 80*v**2 + 4213*v - 768 + 4065*v.
-2*(v - 2)**2*(v + 3)*(v + 32)
Let b be (-2)/38 - 61/(125172/(-3186)). Determine p so that -b - 3/2*p**4 + 0*p**3 + 0*p + 3*p**2 = 0.
-1, 1
Let g(v) be the first derivative of -1/4*v**4 - 7/15*v**3 + 6*v**2 - 1/300*v**6 + 15 - 3/50*v**5 + 0*v. Let j(a) be the second derivative of g(a). Factor j(d).
-2*(d + 1)**2*(d + 7)/5
Suppose -48*h + 316 = -140 + 72. What is m in 64/3*m**2 + 8/3 + 4/3*m**5 + 56/3*m**3 + 12*m + h*m**4 = 0?
-2, -1
Let s(h) be the third derivative of -h**6/120 - 19*h**5/60 - 47*h**4/12 - 20*h**3 - 4780*h**2. Factor s(c).
-(c + 2)*(c + 5)*(c + 12)
Let r be 12/(-16)*(-20)/2. Let v = 271150 - 271140. Determine n so that -r*n + 0 - v*n**2 = 0.
-3/4, 0
Let f(n) = 7*n**4 - 74*n**3 - 77*n**2 + 8. Let y(c) = -c**4 - c**3 - c**2 - 2. Let r(u) = -f(u) - 4*y(u). What is q in r(q) = 0?
-1, 0, 27
Let v(k) = 3*k**3 + k - 1. Let g(i) = -7*i**3 + 17*i**2 - 57*i - 67. Let p(s) = -g(s) - 2*v(s). Let f be p(12). Suppose f + 15/2*a - 3/2*a**2 = 0. What is a?
-1, 6
Let x(b) = 16*b - 20. Let c be x(3). Solve -135*v**2 - v**4 - 4*v**5 - 12*v + c*v**3 - v**4 + 125*v**2 = 0 for v.
-3, -1/2, 0, 1, 2
Suppose -309*a + 2 = -238*a + 2. Let b(y) be the third derivative of -2*y**2 - 1/270*y**5 + a - 1/9*y**3 + 0*y + 1/27*y**4. Factor b(d).
-2*(d - 3)*(d - 1)/9
Let y(i) be the second derivative of -i**4/54 - 376*i**3/27 - 35344*i**2/9 - 240*i - 1. Factor y(c).
-2*(c + 188)**2/9
Let n(h) be the third derivative of -64*h**7/105 + 116*h**6/5 - 4273*h**5/30 - 2987*h**4 - 42436*h**3/3 - 928*h**2 - 5. Factor n(y).
-2*(y + 2)**2*(8*y - 103)**2
Suppose -5*i + 2*m - m = -1, 3*m = -i + 13. Let b be (-32)/(-40)*(3/(-18) + i). Factor -1/3 - b*w - 1/3*w**2.
-(w + 1)**2/3
Let n be 17 + (-18)/6 + 2/2. Let 15 - 5*z**2 - n + 7*z**2 = 0. Calculate z.
0
Let g(l) = 12*l**3 - 564*l**2 + 2610*l - 3024. Let w(d) = 3*d**3 - 141*d**2 + 652*d - 756. Let t(n) = 2*g(n) - 9*w(n). Solve t(r) = 0 for r.
2, 3, 42
Let n be 642/525 + (-148)/1850. Suppose 0*r**2 + 0*r - 6/7*r**5 + n*r**3 + 0 + 8/7*r**4 = 0. Calculate r.
-2/3, 0, 2
Let f = -485 + -1147. Let j be 2*-1 - f/624. Determine r, given that -j*r + 2/13*r**4 - 8/13*r**3 + 2/13 + 12/13*r**2 = 0.
1
Let t = 55532 + -55530. Factor 1/3*f**t + 1 + 5/3*f - 1/3*f**3.
-(f - 3)*(f + 1)**2/3
Solve -56*n**2 - 4375 + 5*n**4 - 59*n**2 + 229*n**2 - 1500*n - 64*n**2 + 60*n**3 = 0.
-7, -5, 5
Let m(f) be the third derivative of -f**7/7560 - 7*f**6/1080 + f**4/8 - f**3/6 + 55*f**2. Let r(t) be the second derivative of m(t). Factor r(k).
-k*(k + 14)/3
Factor -12*q**3 - 36*q + 100/3*q**2 + 4/3*q**4 + 40/3.
4*(q - 5)*(q - 2)*(q - 1)**2/3
Let l(s) = -4*s - 6*s + 33 - 7 + 14*s. Let u be l(-6). Factor h**u + 5*h**2 - 8*h + 2*h**4 - h**4 + 3 - 2*h**4.
-(h - 1)**3*(h + 3)
Suppose 0 = 6144*k - 6145*k. Let f(d) be the third derivative of -1/48*d**5 + k + 0*d**3 - 1/168*d**7 - 33*d**2 + 0*d**4 - 1/48*d**6 + 0*d. Factor f(u).
-5*u**2*(u + 1)**2/4
Let x = 30994 - 30992. Determine z so that -1/5*z + 0 - 1/5*z**x = 0.
-1, 0
Let p = 168 - 154. Let t(o) = 18*o**2 + 7*o. Let b(c) = -8*c**2 - 3*c. Let f(z) = p*b(z) + 6*t(z). Factor f(a).
-4*a**2
Let l = 46 + 77. Factor -230*f**3 - 96*f**2 - l*f**4 - 42*f**3 - 45*f**4 + 36*f**5.
4*f**2*(f - 6)*(3*f + 2)**2
Let g be 12193/16376 + 39/299. Factor -g*t - 1/8*t**2 + 0.
-t*(t + 7)/8
Let a be 15/12*(4/(-34) + (-26026)/(-116025)). Determine d so that -2/3*d + 2/15*d**3 + a*d**2 + 2/5 = 0.
-3, 1
Let a be 1*((-2210)/(-260) + 7/(-1)). Find h, given that a - 3/2*h**2 - 9/4*h = 0.
-2, 1/2
Let n(q) be the first derivative of -4*q**3/3 + 704*q**2 - 123904*q + 1033. Fact