tive of -l**6/180 + l**5/30 - 55*l**3/6 + 2*l + 21. Let h(v) be the second derivative of k(v). Factor h(m).
-2*m*(m - 2)
Let j(n) be the third derivative of -n**5/30 + 64*n**4 + 769*n**3/3 - n**2 - 1124*n. Factor j(o).
-2*(o - 769)*(o + 1)
Let g(f) = 7*f**2 + 119*f + 465. Let q(l) = 20*l**2 + 354*l + 1396. Let c(i) = 28*g(i) - 10*q(i). Factor c(s).
-4*(s + 5)*(s + 47)
Let p(f) be the third derivative of f**8/12096 + 17*f**7/1512 + 289*f**6/432 - 3*f**5/20 - 124*f**2. Let j(t) be the third derivative of p(t). Factor j(h).
5*(h + 17)**2/3
Factor -1/5*l**2 + 77/5*l + 78/5.
-(l - 78)*(l + 1)/5
Let o = 10 - 13. Let j be (-90)/o*2/3. Factor 8*v**3 + 20*v**2 + 6*v**3 + 4*v**3 - 13*v**3 + j*v.
5*v*(v + 2)**2
Factor 182250/7*n**2 + 0 - 12150/7*n**3 - 2/7*n**5 + 0*n + 270/7*n**4.
-2*n**2*(n - 45)**3/7
Let r(l) be the first derivative of l**6/40 - 3*l**4/8 + l**3 - 21*l**2 + 4. Let g(d) be the second derivative of r(d). Factor g(c).
3*(c - 1)**2*(c + 2)
Let o = 98/4841 + 24009/9682. Let o*w - 11/6*w**2 + 9/2 + 1/6*w**3 = 0. Calculate w.
-1, 3, 9
Let n(k) be the second derivative of -k**6/720 - 17*k**5/240 - 13*k**4/12 - k**3/3 + 11*k**2/2 - 182*k. Let z(u) be the second derivative of n(u). Factor z(c).
-(c + 4)*(c + 13)/2
Let c = 23 + 7. Suppose -5*b + c = 5*j, 0*b - 2*b + 12 = j. Solve 40*v**3 + 10 - 15*v**5 + 90*v**2 + 6 - 8*v - 20*v**4 - b + 63*v = 0 for v.
-1, -1/3, 2
Let a(s) be the third derivative of 1/7*s**4 + 1/735*s**7 - 11/21*s**3 + 3*s + 13*s**2 + 1/21*s**5 - 1/35*s**6 + 0. Suppose a(c) = 0. What is c?
-1, 1, 11
Let z(x) = -4*x + 57. Let s be z(13). Suppose s*y - 63 = -48. Find n such that 12*n**3 - 28*n**3 + 3*n**4 + 27*n**y + 25*n + 35*n**2 - 2*n**4 = 0.
-5, -1, 0
Let t(p) be the second derivative of -p**5/5 - 275*p**4 - 113712*p**3 - 339488*p**2 - 10*p. Find x such that t(x) = 0.
-412, -1
Let o be -20 + 102/5 - (-8)/(-20). Let k(z) be the third derivative of 1/105*z**5 - 23*z**2 + 4/21*z**4 - 8/7*z**3 + o*z - 1/210*z**6 + 0. Factor k(n).
-4*(n - 2)**2*(n + 3)/7
Let i(s) = -623*s - 97341. Let a(w) = w**2 + w + 3. Let l(j) = -4*a(j) + 4*i(j). Solve l(y) = 0.
-312
Let y(j) = j**2 - 3*j + 14. Let w be y(0). Suppose 0 = 5*h - 15 - 5, -3*c = -5*h + w. What is q in 0*q**c - 4/7*q + 0 + 1/7*q**3 = 0?
-2, 0, 2
Let t(c) = -4*c**2 - 55*c + 6. Let s(p) = -11*p**2 - 167*p + 16. Let v(i) = 3*s(i) - 8*t(i). Factor v(d).
-d*(d + 61)
Let x(l) be the second derivative of l**6/15 + 21*l**5/4 - 33*l**4 - 112*l**3/3 + 6497*l. Let x(g) = 0. Calculate g.
-56, -1/2, 0, 4
Find a such that 255*a**2 + 28775 + 38*a**3 + 13119 + 17062 + 6936*a - 35*a**3 = 0.
-34, -17
Factor 817 + 298 + 2*h**2 + 0*h**2 + 234*h + 430 + 199.
2*(h + 8)*(h + 109)
Let b = 46 - 45. Let l(g) = -2*g**2. Let w(m) = -22*m**2 + 2*m - 4. Let x(c) = b*w(c) - 12*l(c). Factor x(j).
2*(j - 1)*(j + 2)
Let h be (1*4/(-10))/(2/190). Let b be 20/5 - (h + -2). Solve b*j**4 + 8*j + 64*j**2 + 96*j**3 - 29*j**2 + 25*j**2 = 0 for j.
-1, -2/11, 0
Let j(q) = -3*q**3 - 130*q**2 + 123*q + 10. Let k(v) = -v**3 - 66*v**2 + 61*v + 6. Let c(g) = 3*j(g) - 5*k(g). Suppose c(n) = 0. Calculate n.
-16, 0, 1
Let a be -3 + (-9 - -17 - 1). Let b(t) be the second derivative of -5/4*t**2 - 5/6*t**3 - 5/24*t**a + 0 + 23*t. Determine s so that b(s) = 0.
-1
Let y(i) be the second derivative of 0 - 5/3*i**4 - 10*i - 50/3*i**3 - 1/15*i**5 + 1/2*i**2. Let q(l) be the first derivative of y(l). Factor q(t).
-4*(t + 5)**2
Factor -5*r**2 + 1201*r + 929*r - 578690 + 2267*r + 1343*r - 1068690.
-5*(r - 574)**2
Let g = -813 + 807. Let a be (((-190)/(-6))/19)/((-2)/g). Solve 4/5*n**4 + 0 - 8/5*n**3 - 2/5*n + 4/3*n**2 - 2/15*n**a = 0.
0, 1, 3
Let p be 3/171*(-18)/84. Let h = p - -403/1064. Factor 3/8*y**2 + 0 + 3/8*y - h*y**4 - 3/8*y**3.
-3*y*(y - 1)*(y + 1)**2/8
Let t(i) = 49*i + 17642. Let x be t(-360). Determine h, given that 5/9*h - 4/9*h**x - 2/9 + 1/9*h**3 = 0.
1, 2
Suppose b - 5*w = -23, -4*w + 30 = 5*b - 0. Suppose -b*y + 56 = 48. Determine v so that 2 - y*v**4 + 9*v**2 - 3 - v**2 - 3 = 0.
-1, 1
Let r(y) = -106*y**3 + 200*y**2 - 29*y - 185. Let x(v) = 596*v**3 - 1100*v**2 + 160*v + 1016. Let m(p) = 28*r(p) + 5*x(p). Determine j, given that m(j) = 0.
-25/3, -1, 1
Suppose 5*s = -6*o + 10*o + 23, 5*o = -10. Suppose -2*u + u = -4*w + 14, -5*w + 25 = -5*u. Factor -3*t**2 + 49*t**w + 0*t**2 - 47*t**s + 5*t**2.
2*t**2*(t + 1)
Suppose -910*l = -510*l. Factor 1/4*s**3 + 0*s + 0*s**2 + l - 1/8*s**5 - 1/8*s**4.
-s**3*(s - 1)*(s + 2)/8
Let y(a) = -2*a**2 - 4*a - 1. Let m(h) = -5*h**2 - 7*h + 70. Let p(s) = m(s) - 2*y(s). Factor p(g).
-(g - 9)*(g + 8)
Let n(r) be the third derivative of 0*r**3 + 0 - 5*r + 1/75*r**5 - 1/15*r**4 + 21*r**2. Factor n(q).
4*q*(q - 2)/5
Let x be -5*10/30*-3. Suppose -x*z = 2*z - 20*z. Factor 15/2*c**3 + 6*c + 3/2*c**4 + 12*c**2 + z.
3*c*(c + 1)*(c + 2)**2/2
Let p(m) be the third derivative of m**7/735 - 13*m**6/105 + 338*m**5/105 + 2896*m**2. Find d, given that p(d) = 0.
0, 26
Let o = -9621309/50 - -192418. Let q = -17/25 - o. Factor 0 + 27/2*x**2 + 18*x**3 + 3*x + q*x**4.
3*x*(x + 1)**2*(5*x + 2)/2
Let a(u) be the third derivative of u**8/1008 + 19*u**7/630 + 4*u**6/45 - 133*u**5/45 + 44*u**4/3 - 32*u**3 + 1207*u**2. Determine h so that a(h) = 0.
-12, 1, 2
Let o(n) be the second derivative of 49*n**6/30 + 53*n**5/20 + n**4/3 + 1556*n. Factor o(k).
k**2*(k + 1)*(49*k + 4)
Suppose -18 = -32*v + 46. Suppose -2*r - 3*r + 7 = -4*h, 2*r = 4*h - v. Determine s so that 2/7*s**4 + 4/7*s**r + 0 - 4/7*s - 2/7*s**2 = 0.
-2, -1, 0, 1
Factor 2/11*m**3 - 68/11*m**2 + 38*m + 2888/11.
2*(m - 19)**2*(m + 4)/11
Suppose 10 = 2*t, 0 = -5*x - 5*t + 2*t + 85. Suppose 17 = 5*h - f - 17, -5*f = h + x. Factor 9*b**3 - 17*b - b + h*b - 3*b**4.
-3*b*(b - 2)**2*(b + 1)
Factor -61/2*j**2 - 1107/2*j - 1/2*j**3 - 5103/2.
-(j + 7)*(j + 27)**2/2
Suppose -3*q + 39 = 2*x + 2*q, 60 = 4*x + 4*q. Find r, given that 11*r**4 + 6 - x*r + 11*r**3 - r**4 - 8*r**2 + r**3 - 8 = 0.
-1, -1/5, 1
Let p(m) = -4*m**2 - 138*m + 906. Let y(w) = 5*w**2 + 137*w - 976. Let i(c) = -6*p(c) - 5*y(c). Let i(k) = 0. What is k?
4, 139
Suppose -t = 4*t - 10. Let m(o) = -331*o + o**2 + 0*o**2 + 162*o - 4 + 166*o. Let a(d) = -6*d**2 + 15*d + 21. Let b(s) = t*a(s) + 11*m(s). Factor b(c).
-(c + 1)*(c + 2)
Let d(c) be the second derivative of c**5/80 - 9*c**4/8 + 45*c**3/2 + 675*c**2 + 4407*c. Let d(s) = 0. Calculate s.
-6, 30
Let a(x) = x**2 - 44*x - 357. Let w be a(51). Suppose j + 3 = 0, w*o + 2*j + 22 = 4*o. Find n, given that -5*n**3 - 10*n - 5/2*n**o + 0 + 35/2*n**2 = 0.
-4, 0, 1
Let v(y) = -7*y**5 + y**4 + 4*y**3 + 2*y**2 - 6. Let l(s) = 17*s**5 - 2*s**4 - 7*s**3 - 5*s**2 + 15. Let i(k) = 4*l(k) + 10*v(k). Factor i(c).
-2*c**3*(c - 3)*(c + 2)
Factor 4*g**2 + 26010000 - 10819*g - 14612*g + 5031*g.
4*(g - 2550)**2
Let t(x) be the first derivative of 31 + 2360/3*x**3 + 179/18*x**4 + 2/45*x**5 + 22800*x**2 - 48000*x. What is l in t(l) = 0?
-60, 1
Let w = -342 + 341. Let k be (w/(-7))/((-11)/(-231)). Suppose 0*p - 4/5*p**4 + 8/5*p**2 + 0*p**k - 4/5 = 0. What is p?
-1, 1
Let u(a) be the first derivative of -a**6/120 + 7*a**5/20 - 5*a**4 + 50*a**3/3 + 3*a**2/2 - 2*a + 53. Let k(p) be the second derivative of u(p). Factor k(c).
-(c - 10)**2*(c - 1)
Let a(p) be the third derivative of -p**7/168 + p**6/80 + 203*p**5/240 + 43*p**4/8 + 12*p**3 - 906*p**2. Find t, given that a(t) = 0.
-3, -4/5, 8
Suppose 17 = 5*i - 2*p, 9*p = 5*i + 4*p - 20. Let -23*f - 33*f**2 - 8 + 41 + i*f**3 + 7*f + 13*f = 0. Calculate f.
-1, 1, 11
Let v be (-14 - -10) + -1 + 0 + 7. Factor 4*k**2 - 5 + 5*k**3 - 8*k**2 + 10*k + 0*k - 11*k**v + 5*k.
5*(k - 1)**3
Suppose 0*u - 1/6*u**4 + 0 - 28/3*u**2 - 19/2*u**3 = 0. Calculate u.
-56, -1, 0
Factor 16*l**4 + 103*l**4 - 369*l**4 + 26244 - 3150*l**3 - 746*l + 21870*l**2 - 41536*l.
-2*(l + 18)*(5*l - 9)**3
Let h(r) be the second derivative of -r**4/12 + r**3/6 - r**2 + 2*r. Let z(f) = 4*f**2 + f + 1. Let b(y) = 3*h(y) + z(y). Suppose b(d) = 0. Calculate d.
-5, 1
Let l(o) be the first derivative of -17*o**4 - 2*o**3 - 578/15*o**5 + 33 + 0*o**2 + 0*o. Factor l(t).
-2*t**2*(17*t + 3)**2/3
Let r(g) be the second derivative of -g**7/4095 + g**6/234 - 5*g**5/156 + 15*g**4/4 - 4*g + 4. Let v(c) be the third derivative of r(c). Factor v(p).
-2*(2*p - 5)**2/13
Let m be ((-50)/75)/(2