*r.
-5*(r + 299)*(7*r - 2)
Let k = 1730/4053 + 1/579. Factor 0 - 2/7*q + 1/7*q**5 + 1/7*q**3 - k*q**2 + 3/7*q**4.
q*(q - 1)*(q + 1)**2*(q + 2)/7
Let v be (6/4 - 2)*(10 - 30). Suppose 21*p - 53 = v. Factor 0*h + 0*h**2 + 0 + 2/7*h**p.
2*h**3/7
Let t(a) = 30*a**2 - 134*a - 1. Let d(u) = 2*u**2 + 1. Let i(m) = -7*d(m) - t(m). Factor i(p).
-2*(p - 3)*(22*p - 1)
Let z(p) = 4*p**2 - 61*p - 64. Let g = 165 + -166. Let l(q) = q**2 + q - 1. Let u(y) = g*z(y) - l(y). Suppose u(r) = 0. Calculate r.
-1, 13
Let q(r) be the first derivative of -r**6/3420 + r**4/228 - 55*r**3/3 - 80. Let f(k) be the third derivative of q(k). Factor f(u).
-2*(u - 1)*(u + 1)/19
Let u be (-4)/3*(-36 - -39). Let r be u/2*17/(-68). Factor -1/6*s + 1/3 - r*s**2.
-(s + 1)*(3*s - 2)/6
Factor -355*s - 16*s**2 + 644*s + 259 + 689 - 557*s.
-4*(s - 3)*(4*s + 79)
Let a = -10/487 - -937/21915. Let l(d) be the first derivative of -2/15*d - 2/75*d**5 + 28 - 1/15*d**2 - a*d**6 + 1/15*d**4 + 4/45*d**3. Factor l(n).
-2*(n - 1)**2*(n + 1)**3/15
Let n(i) = i**3 - 43*i**2 + 151*i - 117. Let s(c) = 4*c**3 - 128*c**2 + 444*c - 352. Let x(k) = 8*n(k) - 3*s(k). Find y such that x(y) = 0.
2, 3, 5
Let -199*b + 80 + 57*b**3 - b**4 + 0*b**2 + 3*b**2 - 214 + 139*b**3 - 129*b**3 = 0. Calculate b.
-1, 2, 67
Let p(t) be the second derivative of t**6/18 - 5*t**4/12 - 5*t**3/9 - 4484*t. Solve p(w) = 0.
-1, 0, 2
Let t(o) be the second derivative of 5*o**7/42 + o**6 - 2*o**5 - 55*o**4/2 + 35*o**3/6 + 150*o**2 + 4138*o. Suppose t(z) = 0. Calculate z.
-5, -4, -1, 1, 3
Let u be (7 + -6)/(1 + -1 - 2/(-10)). Let d(r) be the second derivative of 1/6*r**2 + 1/6*r**3 - 5*r + 1/60*r**u + 1/12*r**4 + 0. Find i, given that d(i) = 0.
-1
Let p be 20/70*245/14. Let i(b) be the third derivative of 0*b - 16*b**2 + 0*b**4 + 1/210*b**7 + 0 + 0*b**6 - 1/30*b**p + 1/6*b**3. Let i(d) = 0. Calculate d.
-1, 1
Let x(m) be the second derivative of -m**5/120 + 17*m**4/72 - 31*m**3/18 - 20*m**2/3 + 4172*m. Factor x(d).
-(d - 10)*(d - 8)*(d + 1)/6
Let g(u) = -7*u**3 - 11*u**2 - 32*u - 22. Let i(w) = 15*w**3 + 22*w**2 + 64*w + 43. Suppose 0*f + 8*f - 104 = 0. Let a(t) = f*g(t) + 6*i(t). Factor a(h).
-(h + 2)**2*(h + 7)
Let j(d) be the third derivative of -11*d**6/24 + 17*d**5/4 - 305*d**4/24 + 35*d**3/2 - d**2 + 646*d. Factor j(o).
-5*(o - 3)*(o - 1)*(11*o - 7)
Let i = -6669 + 6673. Let t(v) be the third derivative of 0*v + 0 + 10/3*v**3 + 8*v**2 + 1/6*v**6 - 1/42*v**7 - 5/6*v**i - 1/4*v**5. Factor t(o).
-5*(o - 2)**2*(o - 1)*(o + 1)
Let x(d) be the second derivative of -d**6/240 - d**5/4 - 75*d**4/16 + 127*d**2/2 + 76*d. Let i(a) be the first derivative of x(a). Factor i(j).
-j*(j + 15)**2/2
Suppose -11*v + 5*v = -24. Factor -4*q**2 - q**2 + 28 - 12 + v*q + 3*q**2.
-2*(q - 4)*(q + 2)
Let s(k) be the third derivative of -k**5/240 + 73*k**4/32 - 109*k**3/12 - 671*k**2 + 2. Factor s(m).
-(m - 218)*(m - 1)/4
Let l(x) = -16*x**4 - 109*x**3 + 256*x**2 - 126*x + 10. Let k(q) = 9*q**4 + 54*q**3 - 129*q**2 + 63*q - 6. Let b(z) = -5*k(z) - 3*l(z). Factor b(p).
3*p*(p - 1)**2*(p + 21)
Suppose -308*x**2 - 2*x**4 - 56*x**3 + 1022 + 6*x**4 - 511 - 511 + 360*x = 0. Calculate x.
-5, 0, 1, 18
Let w(t) = -10*t + 10. Let h be w(3). Let l be 1*5/h*-12. Factor 0*s**3 + l*s + 2*s**3 + 5*s**3 + 6*s**2 - 4*s**3.
3*s*(s + 1)**2
Factor -180*u**2 - 183*u - 71*u**3 + 215*u**3 - 73*u**3 - 68*u**3.
3*u*(u - 61)*(u + 1)
Let f = 11 - 7. Let k = 3741/13118 + 1/1874. Solve 0 - 2/7*d**f + k*d - 6/7*d**2 + 6/7*d**3 = 0.
0, 1
Let w(s) be the second derivative of -s**9/7560 + s**8/3360 + s**7/126 + s**6/45 + 26*s**4/3 + s + 54. Let t(r) be the third derivative of w(r). Factor t(k).
-2*k*(k - 4)*(k + 1)*(k + 2)
Let v(a) = -a**2 - 18*a - 70. Let m be v(-11). Let p be 80/96 + (m - 5 - 2). Solve -1/6*f**4 - p*f + 1/6*f**3 + 1/3 + 1/2*f**2 = 0 for f.
-2, 1
Let d(a) = -a**2 + 18*a + 7. Let u be d(19). Let o = -10 - u. Solve 20*v**2 + 4*v + 8 - o*v**3 - 5*v - 22*v**2 + 9*v = 0 for v.
-2, -1, 2
Let i(a) = -7*a**2 - 72*a + 43. Let g be ((-215)/86)/(1/2). Let q(s) = 6*s**2 + 73*s - 49. Let m(y) = g*i(y) - 6*q(y). Factor m(o).
-(o - 1)*(o + 79)
Let t(a) = -13*a**3 - 58*a**2 - 484*a + 6359. Let b(c) = -7*c**3 - 28*c**2 - 241*c + 3180. Let l(y) = -11*b(y) + 6*t(y). Factor l(w).
-(w - 6)*(w + 23)**2
Let u(a) be the first derivative of a**5/20 - 15*a**4/2 + 450*a**3 + 337*a**2/2 + 339. Let t(o) be the second derivative of u(o). Factor t(z).
3*(z - 30)**2
Let k = 19 + -20. Let h = k - -3. Factor b**h + 3*b - 2*b + 4*b.
b*(b + 5)
Let q(v) be the second derivative of v**5/10 - 193*v**4/30 + 292*v**3/15 + 148*v**2/5 + 5405*v. Factor q(r).
2*(r - 37)*(r - 2)*(5*r + 2)/5
Let c be (0/1)/1*(-23)/115. Let k be c*1/2 - 136/(-340). Factor 4/5*p**2 + 2/5*p**3 + k*p + 0.
2*p*(p + 1)**2/5
Let k be (-51)/(-204) - -11*(-16)/(-64). Determine b, given that -3/2*b**k - 5/6*b**4 + 7/6*b**2 - 1/3 + 3/2*b = 0.
-2, -1, 1/5, 1
Let o be (235/4 + -1)/(12/352). Solve -1694*q - 18*q**3 + 51*q**4 - 15*q**5 + o*q = 0 for q.
0, 2/5, 3
Determine b so that 2*b + 7*b - b - 12*b**2 + 14*b**4 + 4*b + 49*b**4 - 123*b**3 = 0.
-1/3, 0, 2/7, 2
Let i(w) = 3*w**3 + 69*w**2 - 117*w + 30. Let r be (-33)/(-22)*56/6 - -1. Let c(z) = -z**2 + 2. Let m(h) = r*c(h) + i(h). Factor m(b).
3*(b - 1)**2*(b + 20)
Find j, given that 0 + 4752*j**2 + 50*j**4 - 1/2*j**5 - 3456*j - 2691/2*j**3 = 0.
0, 1, 3, 48
Let j(b) be the first derivative of b**6/33 + 538*b**5/55 + 8977*b**4/11 - 36988*b**3/33 - 17955*b**2/11 + 36450*b/11 - 1977. Let j(q) = 0. Calculate q.
-135, -1, 1
Let l(q) be the first derivative of 8/9*q - 2/45*q**5 - 5/18*q**4 + 5/9*q**2 - 2/9*q**3 - 214. Suppose l(t) = 0. Calculate t.
-4, -1, 1
Factor 18/7*i**5 + 0*i + 152*i**3 + 0 - 816/7*i**4 - 352/7*i**2.
2*i**2*(i - 44)*(3*i - 2)**2/7
Let n be 3/9*((-182841)/(-295) - -15). Factor -92/5*r + 2/5*r**2 + n.
2*(r - 23)**2/5
Let w be (-3)/4*(-8)/12*10. Suppose -w*n - 40*y = -36*y - 10, n = y + 2. Factor 22/3*f + 20/3 + 2/3*f**n.
2*(f + 1)*(f + 10)/3
Let q(u) be the third derivative of 1/76*u**4 + 0*u - 2*u**2 - 1/3420*u**6 - 8/3*u**3 + 1/570*u**5 + 0. Let k(o) be the first derivative of q(o). Factor k(t).
-2*(t - 3)*(t + 1)/19
Suppose 4*u - 3*t - 17 = 0, 4*u + 105*t = 106*t + 11. Let a be 52/15 - (-26)/(-39). Factor 0 + 4/5*w + 18/5*w**3 + u*w**4 + 2/5*w**5 + a*w**2.
2*w*(w + 1)**3*(w + 2)/5
Let x(l) = -610*l**2 - 614*l + 14. Let h(c) = c**2 - c + 16. Let y(v) = h(v) - x(v). Factor y(q).
(q + 1)*(611*q + 2)
Factor 14/3*q**3 + 0 + 1/3*q**4 + 11/3*q**2 - 26/3*q.
q*(q - 1)*(q + 2)*(q + 13)/3
Let f(r) be the second derivative of r**4/18 - 482*r**3/9 + 7090*r. Factor f(k).
2*k*(k - 482)/3
Factor -511 + 12*z + 2*z**3 - 84*z - 38*z + 104*z**2 + 299.
2*(z - 2)*(z + 1)*(z + 53)
Let y(j) be the first derivative of -32/7*j**3 + 0*j + 64/7*j**2 - 2/21*j**6 - 143/14*j**4 + 78 - 66/35*j**5. Let y(x) = 0. What is x?
-8, -1, 0, 1/2
Let c(p) = p**2 - 2*p + 1. Let l be c(1). Suppose t + 2*x = 5*x + 12, 4*t - 3*x - 30 = l. Factor -2*g**3 - 3*g**5 + 4*g**2 - t*g**3 + 5*g**4 + 0*g**5 + 2*g**5.
-g**2*(g - 2)**2*(g - 1)
Let q(g) be the first derivative of 2/21*g**3 - 8/7*g + 0*g**2 + 99. Factor q(u).
2*(u - 2)*(u + 2)/7
Let m = 599 + -560. Let m*j**5 - 64*j**5 + 35*j**3 - 282*j**4 + 112*j**4 = 0. Calculate j.
-7, 0, 1/5
Let s be (-33922)/70 + (-6)/15. Let x = s + 490. Let 2/9*h**2 - 2/9*h**4 - 2/9*h**3 + 0 + 0*h + 2/9*h**x = 0. What is h?
-1, 0, 1
Let y(i) = i**2 - 3*i - 20. Let h be y(4). Let q be (-8)/h*16/28. Determine f, given that -q*f + 2/7*f**3 + 0 - 3/7*f**2 = 0.
-1/2, 0, 2
Suppose 16*w - 28*w = 41*w. Let b(o) be the first derivative of -9 + 0*o**2 + 0*o**3 + 1/15*o**6 + 0*o**5 + w*o - 1/10*o**4. Factor b(y).
2*y**3*(y - 1)*(y + 1)/5
Let x be (-3550)/(-500) + 0 + (-2 + 1 + 2)/(-2). Determine u, given that x*u + 36/5 - 3/5*u**2 = 0.
-1, 12
Factor 35834*r - 71101*r + 3*r**3 - 1323 + 447*r**2 + 36140*r.
3*(r - 1)*(r + 3)*(r + 147)
Let o(w) be the third derivative of w**8/672 + w**7/70 - 7*w**6/40 - 29*w**5/30 + 259*w**4/16 - 147*w**3/2 - 392*w**2. Solve o(h) = 0 for h.
-7, 2, 3
Let x(o) be the third derivative of o**6/30 + 653*o**5/15 - 1309*o**4/6 + 1310*o**3/3 - 3960*o**2. Find l such that x(l) = 0.
-655, 1
Let o(n) = 13*n**4 + 266*n**3 - 1060*n**2 + 1096*n + 16. Let c(s) = 4*s**4 + 89*s**3 - 354*s**2 +