ve of 0*z + 0*z**2 - 107 + 0*z**3 + 2/45*z**5 - 1/18*z**4. Let t(u) = 0. What is u?
0, 1
Let f be (-34)/3961 - (-2480)/17475. Factor 32/15*h + f*h**2 - 34/15.
2*(h - 1)*(h + 17)/15
Suppose 0 = -68*p + 72*p - 2296. Let g be (-1)/(-2) - (-3441)/6. Factor -3*b**4 + 3*b**2 + g*b**3 - p*b**3.
-3*b**2*(b - 1)*(b + 1)
Let o(y) = -6*y - 63. Let d be o(-11). Let h(t) = t**3 + 2*t**2 - 8*t + 5. Let g be h(d). Factor 9*x**2 + 108*x - 5*x**3 + g*x**3 + 24 + 81*x**2.
3*(x + 2)**2*(7*x + 2)
Let u(a) = -4*a**2 + 72*a - 32. Let t(c) = -c**2 + 4*c - 20. Let m(p) = -6*t(p) + u(p). Solve m(h) = 0.
-22, -2
Let u(c) = 16263*c - 32510. Let g be u(2). Suppose -1/2*q**2 + g + 7*q = 0. Calculate q.
-2, 16
Suppose 4*d = -3*f - 1462, -3*d + 7*f - 3*f = 1084. Let k = -1090/3 - d. Let 0*u + 2/3*u**3 + 4/3*u**4 + k*u**5 + 0*u**2 + 0 = 0. Calculate u.
-1, 0
Let d(h) = -h**3 - h - 1. Let k(c) = 12*c**3 - 20*c**2 + 16*c + 16. Let o = -12 + 50. Let w = -22 + o. Let l(y) = w*d(y) + k(y). Factor l(j).
-4*j**2*(j + 5)
Factor -3*m - 3/4*m**2 + 9.
-3*(m - 2)*(m + 6)/4
Let a(g) be the third derivative of -g**7/8820 - 2*g**6/105 - 48*g**5/35 + 15*g**4/8 - 74*g**2. Let c(m) be the second derivative of a(m). Factor c(b).
-2*(b + 24)**2/7
Let p(w) = w**2 + w + 1. Let c(u) = -5*u**4 - 355*u**3 - 344*u**2 + 6*u + 6. Let i(n) = -c(n) + 6*p(n). Let i(v) = 0. Calculate v.
-70, -1, 0
Solve -49/5*y**3 + 32/5*y + 14/5*y**2 + 0 + 3/5*y**4 = 0 for y.
-2/3, 0, 1, 16
Find r, given that 64*r**3 - 52*r + 1240*r**2 - 48*r**4 + 1162 - 1140*r**2 - 1202 = 0.
-1, -1/2, 5/6, 2
Let a = 79 + -55. Let l(j) = 6 - 35*j**3 + a*j - 14*j**2 - 4*j + 34*j**3. Let v(o) = o**3 + 29*o**2 - 40*o - 11. Let x(z) = 11*l(z) + 6*v(z). Factor x(y).
-5*y*(y - 2)**2
Let -9*z + 8*z**3 - 107*z**2 + 4*z**5 - 2*z**5 - z - 8*z**4 + 4 + 111*z**2 = 0. Calculate z.
-1, 1, 2
Let w(j) be the first derivative of -5*j**4/16 + 1565*j**3/12 - 3115*j**2/8 + 1555*j/4 + 1160. Suppose w(q) = 0. What is q?
1, 311
Let h be 74/481 + 14656/(-117). Let f = -124 - h. Solve -4/9 - f*d**2 + 14/9*d**4 + 2*d**3 - 2*d = 0 for d.
-1, -2/7, 1
Let t = 109 - 32. Suppose 0 = -8*v + 307 + t. Factor 5*l**3 + v - 5*l**4 - 48 + 5*l**2 - 2*l - 3*l.
-5*l*(l - 1)**2*(l + 1)
Let w(c) be the third derivative of 7/20*c**5 + 0*c**3 + 159*c**2 + 0*c**6 + 0*c - 3/4*c**4 - 1/70*c**7 + 0. Factor w(i).
-3*i*(i - 2)*(i - 1)*(i + 3)
Factor -3*j**2 + 503*j - 472*j - 30*j + 515*j.
-3*j*(j - 172)
Let w(l) = 8*l**3 - 353*l**2 + 233*l + 52. Let y(x) = -7*x**3 + 350*x**2 - 231*x - 64. Let p(d) = -4*w(d) - 5*y(d). Factor p(g).
(g - 112)*(g - 1)*(3*g + 1)
Let v = -776 + 798. Let k be (-12)/(-63)*(-429)/v + 4. Factor -2/7*t**5 + 4/7*t**2 + 4/7*t**3 - 2/7*t - 2/7 - k*t**4.
-2*(t - 1)**2*(t + 1)**3/7
Let c(j) be the second derivative of j**4/36 - 77*j**3/18 - 637*j**2/3 - 3766*j. Find u such that c(u) = 0.
-14, 91
Let z(k) be the third derivative of 16*k**2 - k + 0*k**3 + 0 - 1/2*k**4 + 1/40*k**6 - 3/20*k**5. Factor z(r).
3*r*(r - 4)*(r + 1)
Solve -548*d**3 - 615*d**3 + 1161*d**3 - 2*d**4 = 0.
-1, 0
Factor 0 - 717*n + 1186*n**2 + 0 + 1901*n + 2*n**3.
2*n*(n + 1)*(n + 592)
Let r(m) = -6 + 45 + 15*m - 60*m**2 + 6. Let v(w) = 15*w**2 - 4*w - 11. Let z = 3618 - 3623. Let i(f) = z*r(f) - 21*v(f). Solve i(l) = 0 for l.
-2/5, 1
Let i(g) = -210*g**3 + 45448*g**2 + 45658*g. Let j(h) = 21*h**3 - 4545*h**2 - 4566*h. Let p(x) = -3*i(x) - 29*j(x). Factor p(m).
3*m*(m + 1)*(7*m - 1520)
Let r(w) = -5*w**3 - 1093*w**2 - 59399*w. Let j(a) = 15*a**3 + 3280*a**2 + 178195*a. Let l(x) = -3*j(x) - 10*r(x). Factor l(i).
5*i*(i + 109)**2
Solve 477/4 + 3/4*o**2 - 120*o = 0 for o.
1, 159
Let w(i) be the third derivative of -7*i**5/60 + i**4/12 + i**3 - 2*i**2 - 107*i. Let z(j) = 29*j**2 - 7*j - 27. Let b(v) = 18*w(v) + 4*z(v). Factor b(k).
-2*k*(5*k - 4)
Let i be (25 - 10 - 15) + 4. Let m(c) be the second derivative of -1/3*c**i - c**2 + 1/5*c**6 + 0 + 2/5*c**5 - 4/3*c**3 - 29*c. Factor m(b).
2*(b - 1)*(b + 1)**2*(3*b + 1)
Let w = 3493 - 3491. Let k(a) be the second derivative of -4/3*a**w + 4/27*a**4 + 2/27*a**3 - 38*a + 1/45*a**5 + 0. Solve k(z) = 0.
-3, -2, 1
Let n(f) be the second derivative of -f + 125/12*f**4 + 0 + 0*f**3 - 55/2*f**2. Let b(z) = -9*z**2 + 4. Let g(o) = -55*b(o) - 4*n(o). Factor g(j).
-5*j**2
Factor 0*i**2 + 76/7*i**4 + 0*i + 0 + 722/7*i**3 + 2/7*i**5.
2*i**3*(i + 19)**2/7
Let y(g) be the third derivative of g**6/24 + 389*g**5/12 + 192035*g**4/24 + 186245*g**3/2 - 530*g**2. Factor y(z).
5*(z + 3)*(z + 193)**2
Let y(u) = -3*u + 14. Let b be y(2). Let o be (303/(-72) + 4)*(b + -12). Factor 0 - 5/3*c**2 - o*c**4 + 0*c - 5/2*c**3.
-5*c**2*(c + 1)*(c + 2)/6
Factor -2974*m**2 - 734*m + 2971*m**2 - 365403 - 1360*m.
-3*(m + 349)**2
Factor -73352*x - 36*x**2 + 10*x**3 + 134*x**2 + 73252*x - 8*x**3.
2*x*(x - 1)*(x + 50)
Let q be 108/(-108)*4/(-12). Factor -q*h**2 - h**3 + 2/3*h + 0 + 1/3*h**5 + 1/3*h**4.
h*(h - 1)**2*(h + 1)*(h + 2)/3
Let n be -1 + 0 + 9 + 368*326/(-26243). Factor -20/7*d**2 + 2/7*d**3 - n - 46/7*d.
2*(d - 12)*(d + 1)**2/7
Let v(c) be the second derivative of -4*c**5/5 + 41*c**4/18 - 53*c**3/27 + 2*c**2/9 - c - 21. Solve v(p) = 0 for p.
1/24, 2/3, 1
Factor 54*l + 22*l**2 + 129*l - 174 + 35*l - 46*l - 20*l**2.
2*(l - 1)*(l + 87)
Let 2/3*h**5 + 0 + 0*h**4 - 16/3*h - 22/3*h**3 + 12*h**2 = 0. What is h?
-4, 0, 1, 2
Solve 3/2*f + 1/6*f**2 + 10/3 = 0.
-5, -4
Let h(b) = -11*b**3 + 320*b**2 + 2*b - 329. Let l(v) = -6*v**3 + 160*v**2 + v - 165. Let n(p) = 5*h(p) - 9*l(p). What is i in n(i) = 0?
-1, 1, 160
Determine j so that 48 - 2/5*j**3 + 2/5*j - 48*j**2 = 0.
-120, -1, 1
Let i(u) be the first derivative of 3/4*u**4 + 3*u**3 + 0*u - 75 + 0*u**2. Factor i(c).
3*c**2*(c + 3)
Let s(h) be the first derivative of 0*h + 1/2*h**4 + 48 - 3/10*h**5 + 1/24*h**6 + 0*h**3 + 0*h**2. Suppose s(a) = 0. Calculate a.
0, 2, 4
Let w(y) = -619*y**2 + 23*y - 22. Let p be w(1). Let v = 618 + p. Factor 4/19*a**2 - 2/19*a**3 + v + 0*a.
-2*a**2*(a - 2)/19
Let c be (2 - 7)*6/10. Let o be (-4)/3*c/14. Factor 30/7*l + o*l**3 + 2*l**2 + 18/7.
2*(l + 1)*(l + 3)**2/7
Suppose 0 = 5*x - 22 + 2. Suppose 4*w + x*w - 32 = 0. Solve 3*c**2 + 10*c**w - 6*c**3 + 6*c - 13*c**4 + 0*c**2 = 0.
-2, -1, 0, 1
Let l be ((4 + -3)*-12)/((-2592)/15228). Factor -6144 + 1080*g**2 + l*g**3 + 3/2*g**4 + 4992*g.
3*(g - 1)*(g + 16)**3/2
Let 32/5*r**3 - 20*r + 64/5 + 6/5*r**2 - 2/5*r**4 = 0. Calculate r.
-2, 1, 16
Let c = -72280/119 + 10350/17. Factor 86/7*v + c*v**2 - 36/7.
2*(v + 9)*(5*v - 2)/7
Let t = 1175707/3 - 391902. Factor 16/3*u**2 + t*u**3 + 48 + 28*u.
(u + 4)*(u + 6)**2/3
Let q(y) = -y**3 + 1035*y**2 + 54071*y + 53047. Let i(t) = -4*t**3 + 1035*t**2 + 54069*t + 53048. Let n(f) = -2*i(f) + 3*q(f). Factor n(v).
5*(v + 1)*(v + 103)**2
Let q(z) be the first derivative of z**5/20 - z**4/4 - 4*z**3 + z**2 + 14*z + 21. Let x(h) be the second derivative of q(h). Solve x(w) = 0 for w.
-2, 4
Suppose 3*b + 24 = v, -6*b = 5*v - 3*b + 6. Let j(p) be the first derivative of 3/4*p**4 + 0*p - 6*p**v - 7 + 15/2*p**2. Factor j(o).
3*o*(o - 5)*(o - 1)
Let x(m) be the first derivative of -5/4*m**4 - 45/2*m**2 - 5 - 20*m - 10*m**3. Determine f so that x(f) = 0.
-4, -1
Factor -1/3*n**4 - 1539*n**2 - 133/3*n**3 - 12935/3*n - 8450/3.
-(n + 1)*(n + 2)*(n + 65)**2/3
Solve 227124*a**2 - 54*a**3 + 462400 + 8*a**4 - 115183*a - 6*a**4 + 806063*a - 1300*a**3 = 0 for a.
-2, -1, 340
Let p(f) = -22*f**4 - 3346*f**3 + 141120*f**2 + 14. Let d(n) = 5*n**4 + 669*n**3 - 28224*n**2 - 3. Let m(x) = 14*d(x) + 3*p(x). Factor m(s).
4*s**2*(s - 84)**2
Let k(q) be the third derivative of -q**9/3024 - q**8/336 - q**7/420 + q**6/45 + 37*q**3 - 35*q**2 + 2. Let g(b) be the first derivative of k(b). Factor g(j).
-j**2*(j - 1)*(j + 2)*(j + 4)
Let h be (-10 - (-4704)/60)*(-30)/(-4). Let m = 515 - h. Factor 0 - 3/2*w**3 + 9/2*w - 3*w**m.
-3*w*(w - 1)*(w + 3)/2
Suppose 55 = -5*z + 3*h + 2*h, 0 = -5*z - h - 25. Let b be (z/4)/((6/(-8))/1). Suppose 3*w + w**b - 2*w**2 + 9*w - 3*w**2 = 0. What is w?
0, 3
Suppose 2683*p - 5811 = 746*p. Let -88/17*j + 14/17*j**5 + 124/17*j**2 + 16/17 - 2*j**p - 32/17*j**4 = 0. Calculate j.
-2, 2/7, 1, 2
Suppose 30 + 10 = 10*u. Let x be 1*u/2*(-1116)/(-24). Factor 21*b**5 + 159*b**3 - 88*b**4 - 104*b**4 + 93*b**4 - x*b**2 + 3 + 9.
3*(b - 2)*(b - 1)**3*(7*b + 2)