9520*l + 324. Factor c(q).
5*(q - 1704)**2/4
Let k(i) be the second derivative of 0 - 1/3*i**4 + 8*i + 52*i**2 + 50/3*i**3. Factor k(q).
-4*(q - 26)*(q + 1)
Let y = -1541 - -1543. Let z(j) be the first derivative of 6 - 1/6*j**3 + 0*j + 1/4*j**y. Factor z(v).
-v*(v - 1)/2
Let v(s) = -s**3 + 7*s**2 - 86*s + 480. Let g be v(6). Let f(p) be the third derivative of 0 + 2/7*p**3 + g*p + 5/84*p**4 + 1/210*p**5 - 2*p**2. Factor f(x).
2*(x + 2)*(x + 3)/7
Let c = 147651 + -147648. Factor 3/5*w**4 + 0*w - 21/5*w**c + 0 - 18*w**2.
3*w**2*(w - 10)*(w + 3)/5
Suppose 4237 - 3977 = 13*r. Let h(g) be the first derivative of 0*g**2 - 4/5*g**5 + 0*g + 0*g**3 - 5*g**4 + r. Solve h(m) = 0.
-5, 0
Suppose -14*n - 6*n = -0*n + 50*n. Let o(f) be the first derivative of n*f + 0*f**2 - 1/6*f**3 + 1/24*f**6 + 0*f**5 + 1 - 3/16*f**4. Factor o(q).
q**2*(q - 2)*(q + 1)**2/4
Determine z, given that -889*z - 23*z**3 - 830 + 311*z + 570 + 13*z**3 + 176*z**2 = 0.
-2/5, 5, 13
Let p(g) = -90*g**2 - 49281*g - 23665143. Let f(k) = 11*k**2 + 6154*k + 2958143. Let m(q) = -33*f(q) - 4*p(q). Factor m(d).
-3*(d + 993)**2
Let m(i) be the second derivative of -i**7/168 - i**6/36 - i**5/24 + 7*i**3/6 + 3*i**2/2 + 2*i + 8. Let w(v) be the second derivative of m(v). Factor w(c).
-5*c*(c + 1)**2
Let z(a) = -17*a**2 + 166*a + 1140. Let n(u) = -3*u**2 - u - 15. Let h(q) = -4*n(q) + z(q). Factor h(d).
-5*(d - 40)*(d + 6)
Let b(q) be the first derivative of q**4 + 64*q**3/3 + 138*q**2 + 216*q - 3415. Factor b(o).
4*(o + 1)*(o + 6)*(o + 9)
Suppose c = -4 + 1, -147 = -5*a - c. Suppose -s**2 + 0*s**2 - s**2 + a*s - s**2 = 0. Calculate s.
0, 10
Let l be 472/885*(-1)/(4/(-19)). Let k be -8*4/(40/(-1)). What is p in k - 2/3*p**3 - l*p + 12/5*p**2 = 0?
3/5, 1, 2
Let q(p) be the second derivative of p**6/135 - 146*p**5/45 + 3742*p**4/9 - 165856*p**3/27 + 322624*p**2/9 + 311*p. Solve q(g) = 0.
4, 142
Let t(n) = 7*n**3 - 24*n**2 - 21*n + 6. Let c(o) = 4*o**3 - 1439*o - 8*o**3 - 9*o**3 + 50*o**2 - 12 + 1480*o. Let y(l) = -2*c(l) - 5*t(l). Factor y(s).
-(s - 3)*(s + 1)*(9*s - 2)
Let z(o) be the third derivative of -8*o**7/105 - 29*o**6/30 - 11*o**5/3 - 2*o**4 - 251*o**2 - 2. Factor z(m).
-4*m*(m + 3)*(m + 4)*(4*m + 1)
Let y(n) be the first derivative of 288 + 1/3*n**6 + 20/3*n**3 + 0*n - 4*n**5 - 21*n**2 + 10*n**4. Solve y(u) = 0.
-1, 0, 1, 3, 7
Let v(h) be the first derivative of 75/2*h**2 - 215/4*h**4 - 203 + 0*h - 155/3*h**3 + 3*h**5. Factor v(d).
5*d*(d - 15)*(d + 1)*(3*d - 1)
Let d(y) be the first derivative of 0*y + 52/3*y**3 - 8*y**2 - 137 + 28/5*y**5 - 2/3*y**6 - 15*y**4. Factor d(k).
-4*k*(k - 4)*(k - 1)**3
Let o be (6/21)/((-11)/(-7)). Suppose 42*r - 248 = -45*r + 13. Factor 0 + 0*j + 0*j**2 - o*j**r.
-2*j**3/11
Let z be 4720/(-140)*7/10. Let m = z + 836/35. Factor -4/7 + m*t**3 + 4/7*t**2 - 2/7*t.
2*(t - 1)*(t + 1)*(t + 2)/7
Let z = -19106/11 - -1737. Find g such that z*g**5 - 3/11*g**4 + 0*g - 1/11*g**3 + 0 + 3/11*g**2 = 0.
-1, 0, 1, 3
Let n(y) be the first derivative of -y**4/22 + 26*y**3/11 + 4*y**2/11 - 312*y/11 - 8013. Let n(a) = 0. What is a?
-2, 2, 39
Let g(y) be the second derivative of -y**4/36 + y**3/18 + 22*y**2 + y + 734. Let g(r) = 0. Calculate r.
-11, 12
Let s(l) = l**2 + 9. Let d = 14 - 17. Let m be s(d). Factor m - 13*r**2 - r**4 + 2*r + 1478*r**3 - 1471*r**3 - 5*r.
-(r - 3)**2*(r - 2)*(r + 1)
Let x(l) = l**2 - 2*l + 3. Suppose j = -4*f + 3*f + 1, -1 = 4*f - j. Let p be x(f). Find u such that 4*u**5 - p*u**2 - 5*u**2 + 12*u - 7*u**3 - 9*u**3 + 8 = 0.
-1, 1, 2
Let b(p) be the first derivative of 5*p**4/4 - 5*p**3 - 10*p**2 + 60*p + 7026. Factor b(o).
5*(o - 3)*(o - 2)*(o + 2)
Let v(i) be the third derivative of -5*i**6/36 + 652*i**5/9 - 1301*i**4/9 + 1040*i**3/9 + 542*i**2. Factor v(m).
-2*(m - 260)*(5*m - 2)**2/3
Let z(w) be the third derivative of w**5/15 - 13*w**4/6 - 460*w**3/3 - 2*w**2 + 2*w + 2. Factor z(s).
4*(s - 23)*(s + 10)
Suppose 2*l = -5*n - 0*n + 594, 2*n - 600 = -2*l. Let i = l - 901/3. Find u, given that -65/3*u**4 - i*u - 25*u**3 - 20/3*u**5 + 0 - 35/3*u**2 = 0.
-1, -1/4, 0
Suppose -2*g + 8 = 14*t - 11*t, 3*t - 16 = -4*g. Let -5*j**2 + t*j**3 - 8*j**3 + 8*j**3 + 5*j**3 = 0. Calculate j.
0, 1
Suppose 0 = 3*p - 13*u + 10*u, -3*p = -u + 4. Let n be (17/((-340)/24))/(p/5). Find f, given that -1/10*f + 0*f**2 + 1/5*f**n + 0 - 1/10*f**5 + 0*f**4 = 0.
-1, 0, 1
Let b(m) be the third derivative of -m**5/180 - 293*m**4/72 + 49*m**3/3 + 3*m**2 + 227. Factor b(s).
-(s - 1)*(s + 294)/3
Let i(t) = t**2 + t + 1. Suppose 3*z + 2*p + 2 = 0, 10 = -5*z - 2*p - 3*p. Let w(c) = -55*c - 7*c**2 + 49*c + 4*c**z - 7. Let q(d) = 4*i(d) + w(d). Factor q(m).
(m - 3)*(m + 1)
Let o = 21281/10 + -2128. Let j(z) be the second derivative of 0 + 1/2*z**3 - 3/20*z**5 - 1/4*z**4 + o*z**6 + z + 0*z**2. Factor j(g).
3*g*(g - 1)**2*(g + 1)
Suppose 54*l = 25*l + 13717. Suppose -f - 471 = -l. Suppose 2/11*n**f + 8/11*n + 0 = 0. Calculate n.
-4, 0
Let w be 56 - ((-3924)/(-84) + 9). Solve 0 - 8/7*g**3 + 0*g + 0*g**2 + w*g**4 = 0.
0, 4
Solve 5*v**4 - 6*v**4 - 21*v + 994*v**2 - 947*v**2 - 46 + 21*v**3 = 0 for v.
-2, -1, 1, 23
Let l = -260 - -319. Suppose -77*r + 887 - l*r + 4*r**2 - 639 + 908 = 0. Calculate r.
17
Let m be (-4 - (-201)/48) + (-20)/(-5) + -4. Let x(o) be the first derivative of o**3 + m*o**4 + 0*o + 22 + 0*o**2. What is c in x(c) = 0?
-4, 0
Let y(b) = -7*b**3 + 2*b**2 + 8*b - 6. Let g(p) = -20*p**3 + 6*p**2 + 36*p - 17. Let k(a) = 6*g(a) - 17*y(a). Solve k(v) = 0 for v.
-8, 0, 10
Find k, given that 54*k**5 + 52*k**5 - 352*k**2 + 57*k**5 + 1416*k**3 - 149*k**5 - 648*k**4 = 0.
0, 2/7, 2, 44
Let s(y) be the second derivative of -2/3*y**3 - 5*y - 4 - 12*y**2 + 1/3*y**4. Factor s(j).
4*(j - 3)*(j + 2)
Let d be (-2)/(4/(-6)) - 1. Determine i, given that 5*i - 8156*i**d - 14*i + 8159*i**2 = 0.
0, 3
Let v = -11 - -13. Suppose 3*x + 1 = r + 5, -4*r - 16 = -v*x. Solve 1/5*t**2 - 2/5*t + x = 0 for t.
0, 2
Suppose -5*u - 37*k + 27 = -41*k, 4*u - 4*k = 24. Let v be 3 + (-2 - (1 - 2)). Factor -4*o**v + 2*o - 4*o - o**u - o**3.
-2*o*(o + 1)**2
Let a(h) = 3*h**3 + 18*h**2 - 18*h + 5. Let l be a(1). Factor -1/2*q**2 - l - 17/2*q.
-(q + 1)*(q + 16)/2
Let z = 7185 + -7179. Let f(d) be the second derivative of 1/56*d**7 - 9/8*d**5 + 27/8*d**2 + 0 - 35/8*d**3 + 25/8*d**4 - 28*d + 1/8*d**z. Factor f(o).
3*(o - 1)**4*(o + 9)/4
Let q(t) be the third derivative of 4/9*t**3 + 0*t + 5/36*t**5 - 7/12*t**4 + 1/40*t**6 - 115*t**2 + 0. Factor q(b).
(b - 1)*(b + 4)*(9*b - 2)/3
Let t(h) = -3*h**2 + 876*h + 1755. Let d(r) = r**2 - 437*r - 874. Let c(u) = 9*d(u) + 4*t(u). Factor c(g).
-3*(g + 2)*(g + 141)
Factor 69/5*p + 171/5 + 4/5*p**2.
(p + 3)*(4*p + 57)/5
Let j be -8*(-24)/448 - (-324)/28. Let b(v) be the first derivative of -j + 3/20*v**2 - 2/5*v + 1/30*v**3. Factor b(r).
(r - 1)*(r + 4)/10
Let -932978/5 - 2/5*m**2 - 2732/5*m = 0. Calculate m.
-683
What is n in -49*n**5 + 73*n**3 - 295*n + 4639 - 4643 + 21*n**4 + 271*n - 17*n**2 = 0?
-1, -2/7, 1
Let c = 288/1207 - -55/4828. Find y, given that -y**3 + 37/4*y - c*y**5 - 2*y**4 + 13/2*y**2 + 7/2 = 0.
-7, -1, 2
Let v(l) be the second derivative of -2/15*l**4 + 1 - 202/15*l**3 - 20*l**2 + 76*l. Factor v(y).
-4*(y + 50)*(2*y + 1)/5
Let x(c) be the second derivative of 6 + 1/90*c**6 + 2/15*c**5 - 1/126*c**7 - 2/9*c**4 + 8/3*c**2 - 6*c - 8/9*c**3. Let x(r) = 0. Calculate r.
-2, 1, 2
Let m(b) be the first derivative of -b**5/8 - 3*b**4/16 - b**3/24 + 951. Determine t so that m(t) = 0.
-1, -1/5, 0
Factor 211552/7*a**2 + 817216/7 - 1824/7*a**3 - 824448/7*a + 4/7*a**4.
4*(a - 226)**2*(a - 2)**2/7
Factor 232*j**3 - 5794045952 - 161472*j**2 - 1/8*j**4 + 49948672*j.
-(j - 464)**4/8
Suppose 0 = -3*f + a + 2, -4*f + 33*a + 10 = 28*a. Determine y, given that 2/9*y**2 - 2/9*y**4 - 28/9*y + 28/9*y**3 + f = 0.
-1, 0, 1, 14
Let u be (-6 + 0*(-8)/(-56))*28/(-60). Determine q so that u*q + 8/5 - 2/5*q**3 + 4/5*q**2 = 0.
-1, 4
Let v(u) be the second derivative of 0*u**2 - 1/60*u**5 + 5/9*u**3 - 2*u + 1/12*u**4 + 43. Let v(l) = 0. Calculate l.
-2, 0, 5
Let x be 1864/(-2800) - 22/165*-5. Let z(p) be the third derivative of x*p**7 + 1/100*p**6 + 1/75*p**5 + 0 - 1/20*p**4 + 20*p**2 - 1/6*p**3 + 0*p. Factor z(h).
(h - 1)*(h + 1)**2*(h + 5)/5
Suppose -3*d = -0*d - 21. Let o(s) = -2*s + 18. Let v be 