)*(f + 23)/5
Factor -5971968/23 - 864/23*s**2 + 2/23*s**3 + 124416/23*s.
2*(s - 144)**3/23
Let d(v) be the third derivative of v**7/945 - 7*v**6/30 - v**5/90 + 95*v**4/27 - 28*v**3/3 + v**2 + 47*v. Let d(h) = 0. What is h?
-2, 1, 126
Factor 1/7*c - 1/7*c**2 + 30/7.
-(c - 6)*(c + 5)/7
Let p(r) be the first derivative of -171363*r**4/8 + 56165*r**3/2 + 714*r**2 + 6*r - 724. Find s such that p(s) = 0.
-2/239, 1
Suppose -908 = -2*z + 3*k, 8*k - 11*k = -4*z + 1828. Factor b**3 + z*b - 476*b - 14*b**3 - 2*b**4 + 30*b**2 + b**3.
-2*b*(b - 1)**2*(b + 8)
Let c(x) be the third derivative of x**5/15 - 35*x**4/3 - 304*x**3 - 1133*x**2. Determine v, given that c(v) = 0.
-6, 76
Let w(o) be the third derivative of o**8/168 - 4*o**7/105 - 5*o**6/2 + 232*o**5/15 - 467*o**4/12 + 52*o**3 + 1533*o**2. Factor w(z).
2*(z - 13)*(z - 1)**3*(z + 12)
Let 140/11*k**3 - 680/11*k**2 + 64/11 + 80/11*k + 166/11*k**4 - 40/11*k**5 = 0. What is k?
-2, -1/4, 2/5, 2, 4
Let o(v) be the third derivative of v**8/420 + 4*v**7/35 + 8*v**6/5 - 17*v**3/3 - 70*v**2. Let j(q) be the first derivative of o(q). Factor j(z).
4*z**2*(z + 12)**2
Suppose -22 = -r - 2*i, -6*r - 20502*i + 122 = -20500*i. Factor 1/6*f**4 - 19/3*f**3 - 61/3*f - r*f**2 - 41/6.
(f - 41)*(f + 1)**3/6
Let k(u) = 90*u**3 - 315*u**2 + 2393*u - 4615. Let z(b) = -51*b**3 + 156*b**2 - 1196*b + 2308. Let o(w) = 4*k(w) + 7*z(w). Let o(i) = 0. Calculate i.
4, 48
Let b be -4 + (0 - 1224)/2. Let c be (28/b)/(3/(-6)). Find l, given that 1/11*l**3 - c*l**2 + 0 + 0*l = 0.
0, 1
Let q(y) = -2*y + 18. Let u(n) = -3*n + 35. Let h(b) = -5*q(b) + 3*u(b). Let m be h(6). Let -4*f**2 + 100*f - 24 - m*f**2 + 9*f**2 = 0. Calculate f.
1/4, 6
Let l(s) be the first derivative of 54/35*s**5 + 72/7*s - 120/7*s**2 - 93/14*s**4 - 71 + 102/7*s**3 - 1/7*s**6. Find r such that l(r) = 0.
1, 2, 3
Let c(k) be the third derivative of -k**5/15 + 161*k**4/6 + 625*k**2. Solve c(u) = 0 for u.
0, 161
Let y be -3 + 1330/406*(-5)/(-3). Let k = y - -6/29. Factor 2/3*h + 0 - 4/3*h**4 - k*h**2 + 10/3*h**3.
-2*h*(h - 1)**2*(2*h - 1)/3
Let y be (-6)/(-9)*(17 + -23 - -9). Factor 6/23*v - 4/23 - 2/23*v**y.
-2*(v - 2)*(v - 1)/23
Suppose 776*c + 5538*c**2 - 152*c**3 + 148*c**3 - 5158*c**2 = 0. Calculate c.
-2, 0, 97
Let i(g) be the first derivative of -55*g**4/4 - 106*g**3/3 - 47*g**2/2 + 4*g + 2317. Find p such that i(p) = 0.
-1, 4/55
Suppose 19 = -11*q + 41. Factor -15/8*w**q + 0*w + 3/2*w**3 + 3/8*w**4 + 0.
3*w**2*(w - 1)*(w + 5)/8
Factor -180 - 16*t - 3*t**2 - 116*t - 51*t.
-3*(t + 1)*(t + 60)
Let r(a) be the second derivative of -35*a**7/2 + 2296*a**6/3 - 5479*a**5/4 + 1375*a**4/6 + 1510*a**3/3 - 300*a**2 - 18*a + 20. Suppose r(y) = 0. What is y?
-1/3, 2/7, 1, 30
Let l(c) be the first derivative of 60 + 114*c**2 + 112*c**2 - 223*c**2 + 19*c**3. Factor l(z).
3*z*(19*z + 2)
Let w be (51/5)/(4 - 39/(-6)). Let s = 39/35 - w. Factor 3/7 - 4/7*l + s*l**2.
(l - 3)*(l - 1)/7
Let d(c) be the third derivative of 0 + 0*c + 0*c**5 + 2/3*c**3 - 1/60*c**6 + 1/4*c**4 - 153*c**2. Suppose d(a) = 0. Calculate a.
-1, 2
Find m, given that 77*m + 248/9*m**2 + 1/9*m**5 - 2/3*m**4 - 98 - 6*m**3 = 0.
-6, -3, 1, 7
Let p(z) = -5*z**5 + 327*z**4 + 674*z**3 + 7*z**2 - 666*z - 343. Let q(m) = m**4 + 2*m**3 + m**2 - 3*m + 1. Let g(b) = p(b) + 3*q(b). Factor g(r).
-5*(r - 68)*(r - 1)*(r + 1)**3
Solve -6190144/3 - 1/3*j**2 + 4976/3*j = 0 for j.
2488
Let q(v) = -2*v**2 - 47*v - 66. Let i be q(-22). Let n = 1/11 + i. Suppose -n*z**3 - 1/11*z**2 + 1/11 + 1/11*z = 0. Calculate z.
-1, 1
Let j(h) = -h**2 + 10*h + 28. Let p be j(12). Let v be 1*(p + -9 - -10). Factor -18 + 9 + v - 7*x - 2*x**2 + x.
-2*(x + 1)*(x + 2)
Let a(y) be the first derivative of 3/20*y**4 - 210 + 1/5*y**3 + 1/25*y**5 + 1/10*y**2 + 0*y. Factor a(r).
r*(r + 1)**3/5
Let k be (15/((-2025)/18))/((-2)/(-20)). Let p = -34/39 - k. Factor 4/13*a - 8/13*a**3 - 2/13*a**2 + p*a**4 + 0.
2*a*(a - 1)**2*(3*a + 2)/13
Factor -25233/10*n**2 + 18724*n - 182408/5 - 1/10*n**4 + 31*n**3.
-(n - 151)**2*(n - 4)**2/10
Factor 8675*v + 75 + v**2 - 8712*v - 5.
(v - 35)*(v - 2)
Factor 0*f**2 - 8/13*f + 0 + 6/13*f**3 - 2/13*f**4.
-2*f*(f - 2)**2*(f + 1)/13
Let z be ((-3)/7 + 0)/((-10920)/50960). Find j such that 0*j**z - 3/2*j + 1/6*j**3 + 0 = 0.
-3, 0, 3
Let d = 151318/5 + -30263. Solve -1/5*w**2 + 2 - d*w = 0 for w.
-5, 2
Let k = 4282/3135 + -34/1045. Let q = -57 + 59. Find m, given that -m**q + 0 + k*m**3 + 0*m - 1/3*m**4 = 0.
0, 1, 3
Suppose 68*a**3 - 66*a**3 + 699*a - 1407*a**2 + 702 + 4*a**3 = 0. Calculate a.
-1/2, 1, 234
Let g be (((-2)/4)/(5/700))/(-1). Suppose -67 = c - g. Factor c*y**2 + 13*y - 8*y + 4*y.
3*y*(y + 3)
Let x(l) be the second derivative of l**4/36 - 131*l**3/18 + 1560*l. Factor x(i).
i*(i - 131)/3
Let s be (462/385)/((-7)/5)*-7. Suppose 2*k - s = -3*v, 4*k - 7 + 1 = -3*v. Find y, given that -6/5*y + 18/5 - 2/5*y**3 - 2*y**v = 0.
-3, 1
Determine r, given that 120 - 36*r - 252*r**4 + 255*r**4 - 42*r**2 + 456*r**3 + 468*r**3 - 915*r**3 = 0.
-5, -2, 2
Let o = 3668/163 - 1/326. Let s(k) = -3*k**3 - 489*k**2 - 6263*k - 68. Let n be s(-14). Factor -375/2 + 3/2*i**3 + 225/2*i - o*i**n.
3*(i - 5)**3/2
Suppose 3*r + f = 40, -2*r + 21 - 20 = -3*f. Let v(w) be the first derivative of r - 17/6*w**3 - 15/4*w**2 + w. Factor v(y).
-(y + 1)*(17*y - 2)/2
Suppose -4*j + 9*j + 116 = -2*p, -252 = 5*p + 3*j. Let i be (2/(-28))/(-17 - 808/p). Solve i*o**2 - 9/7*o - 12/7 = 0.
-1, 4
Let n = -79 + 43. Let r = -30 - n. Solve 42 - 80*o + 0 + r + 12*o**2 = 0 for o.
2/3, 6
Let g = -966383/8 + 120798. Determine f so that f**2 + 0 - 3/2*f - g*f**4 + 5/8*f**3 = 0.
-2, 0, 1, 6
Let o be ((-468)/63)/26 - ((-100)/(-21))/(-5). Let -o*s - 1/3*s**2 + 5 = 0. Calculate s.
-5, 3
Let m be (-5)/(-7)*7 - 0/1. Factor 3*v**m - 377*v + 377*v - 3*v**3.
3*v**3*(v - 1)*(v + 1)
Let w(q) = -q**2 + 4*q + 8. Let x be w(6). Let n be x/(2*(-3)/6). Determine a, given that -n*a**3 + 14*a**3 + 2*a**4 + 0*a**4 + 20*a + 35*a**2 - 7*a**4 = 0.
-1, 0, 4
Let t = 5279 - 5279. Let n(x) be the first derivative of t*x - 14 - 3*x**2 + 10/3*x**3 - x**4. Let n(w) = 0. What is w?
0, 1, 3/2
Let t be 4/6 + (-92)/(-69). Factor 2*j**t - 54*j + 46*j + 2*j**2.
4*j*(j - 2)
Let o(f) be the first derivative of -16/3*f - 32/9*f**3 + 5/12*f**4 + 46 + 26/3*f**2. Factor o(m).
(m - 4)*(m - 2)*(5*m - 2)/3
Let m = 306 - 302. Let z(y) = -9*y**4 - 5*y**3 + 17*y**2 + 3*y. Let v(n) = 8*n**4 + 4*n**3 - 16*n**2 - 4*n. Let p(k) = m*z(k) + 5*v(k). Solve p(j) = 0 for j.
-1, 0, 2
Let m(c) be the first derivative of -12/5*c**5 - 5 - 20/3*c**3 - 2/3*c**6 + 0*c + 0*c**2 + 9*c**4. Factor m(u).
-4*u**2*(u - 1)**2*(u + 5)
Let l(z) be the second derivative of -4/27*z**4 - 4/63*z**7 - 5 - 23/90*z**5 + 0*z**2 - 28/135*z**6 - 9*z - 1/27*z**3. Solve l(n) = 0.
-1, -1/2, -1/3, 0
Let n(z) be the third derivative of 1/18*z**5 + 1/105*z**7 + 1/30*z**6 + 6*z**2 + 1/1008*z**8 + 0 + 0*z**3 + 1/24*z**4 + 9*z. Find x such that n(x) = 0.
-3, -1, 0
Let n(i) be the first derivative of i**4 + 8*i**3/3 - 18*i**2 - 72*i + 1321. Factor n(u).
4*(u - 3)*(u + 2)*(u + 3)
Suppose 0 = -34*z - 21*z + 145 + 185. Let t(r) be the third derivative of z*r**2 + 0*r + 1/84*r**4 + 0 - 1/14*r**3 + 1/420*r**5. Solve t(j) = 0 for j.
-3, 1
Let a(c) be the second derivative of -41*c - 11/100*c**5 - 27/10*c**3 - 3/4*c**4 + 0 - 27/5*c**2 - 1/150*c**6. Find j, given that a(j) = 0.
-3, -2
Suppose -1207 = -3*i + j, -j + 397 = 4*i - 3*i. Let h = 404 - i. Factor 0 + 0*v**h + 4/5*v**5 + 0*v**2 - 2/5*v**4 + 0*v.
2*v**4*(2*v - 1)/5
Let y(t) be the first derivative of 3*t**4/20 + 3*t**3 + 21*t**2/5 + 1540. Factor y(u).
3*u*(u + 1)*(u + 14)/5
Suppose -5*s + 3 - 28 = 0. Let r(d) = 7*d**2 + 88*d + 4. Let l(x) = -15*x**2 - 175*x - 10. Let f(m) = s*r(m) - 2*l(m). Factor f(z).
-5*z*(z + 18)
Let n(x) be the third derivative of -3*x**6/440 - 7*x**5/330 + 10*x**4/33 - 16*x**3/33 + 888*x**2. Let n(s) = 0. Calculate s.
-4, 4/9, 2
Suppose 10 = -4*x + 22. Let z be 33936/40 + (3 - 51/15). Factor 848*k**4 - z*k**4 - 5*k - 5*k**5 + 10*k**x.
-5*k*(k - 1)**2*(k + 1)**2
Let z(i) be the third derivative of -190*i**2 + 192/5*i**3 + 0 + 673/150*i**5 - 1/6*i**6 - 20*i**4 + 1/525*i**7 + 0*i. Factor z(v).
2*(v - 24)**2*(v - 1)**2/5
Let a(d) = -d**5 + d**2 + 3*d - 1. Let u(p) = -4*p**5 + 6*p**3 + 11*p**2 + 12*p - 3