+ 1)**3/9
Suppose 101*m - 100*m - 8 = -4*p, -8 = 4*p + 5*m. Factor 0*c - 56/9*c**2 + 4/9*c**p + 0.
4*c**2*(c - 14)/9
Suppose 0 = -c + n + 1, 3*c = 8*c - 2*n - 11. Factor -9 + 5*k**2 - 2 + 14 - c.
5*k**2
Let u(x) be the third derivative of -x**6/60 + x**5/10 - x**4/4 + x**3/3 + 4*x**2 + 109*x. Factor u(j).
-2*(j - 1)**3
Let v be (0/((-24)/6))/(-9). Let g(c) be the second derivative of -2/21*c**7 - 26*c - 1/5*c**5 + 4/15*c**6 + 0 + 0*c**2 + 0*c**4 + v*c**3. Factor g(l).
-4*l**3*(l - 1)**2
Let w(u) be the third derivative of 7/48*u**4 + 2*u + 55*u**2 + 1/20*u**5 + 0 - 1/240*u**6 + 0*u**3. Factor w(v).
-v*(v - 7)*(v + 1)/2
Let o be (56/(-80))/(13 + (-47005)/3612). Determine v, given that -5547/5 - 3/5*v**2 - o*v = 0.
-43
Find a, given that -71*a**2 + 14*a - 1840*a**4 + 3*a**5 + 152*a**3 + 1791*a**4 - 49*a**3 = 0.
0, 1/3, 1, 14
Solve -1/6*h**2 + 4/3*h + 0 = 0 for h.
0, 8
Let i(g) = -g**3 - 17*g**2 - 71*g + 9. Let y be i(-9). Let p(s) be the third derivative of 0*s**4 + 16*s**2 + 0*s - 1/12*s**5 + y*s**3 + 0. Factor p(w).
-5*w**2
Let s(j) be the second derivative of -j**6/15 - 14*j**5/5 - 119*j**4/6 - 92*j**3/3 + 4030*j. Factor s(b).
-2*b*(b + 1)*(b + 4)*(b + 23)
Find d, given that 22*d**4 - 182 + 160*d**2 - 831*d**3 + 297*d**3 + 131*d - d**5 + 404*d**3 = 0.
-1, 1, 2, 7, 13
Let z = -38 + 61. Let l = z - 19. Solve l*s**2 - 10*s - 15 + 2*s**2 - 4*s**2 + 3*s**2 = 0 for s.
-1, 3
Let w(p) = -p**3 - p**2 - 1244*p - 3745. Let f be w(-3). Factor -3/8*a**f - 128625/8*a**2 + 0 - 315/8*a**4 + 0*a - 11025/8*a**3.
-3*a**2*(a + 35)**3/8
Factor 0 - 1/3*i + i**4 + 5/3*i**2 - 7/3*i**3.
i*(i - 1)**2*(3*i - 1)/3
Let t = 1409/948 - 259/316. Suppose 11/3*a**5 + 2/3*a**4 - 11/3*a**3 + 0*a - t*a**2 + 0 = 0. What is a?
-1, -2/11, 0, 1
Let o = 1329 + -1324. Let i(z) be the second derivative of 7/6*z**4 + 11/3*z**3 + 5*z**2 + 39*z + 1/10*z**o + 0. Factor i(t).
2*(t + 1)**2*(t + 5)
Let s = -28 - -39. Suppose 0 = s*p - 8*p - 27. Solve -6*j**4 + 5*j**5 + 40*j**2 - 5*j**2 - 20 - 5*j**3 - p*j**4 = 0.
-1, 1, 2
Find x, given that -270/23 - 8*x**3 + 1032/23*x - 890/23*x**2 - 8/23*x**4 = 0.
-15, -9, 1/2
Let d(h) be the first derivative of 177 - 3/4*h**2 - 3/2*h**4 - 3/5*h**5 - 1/12*h**6 - 5/3*h**3 + 0*h. Find z such that d(z) = 0.
-3, -1, 0
Let z be (-19)/76*(2/18*1)/((-8)/48). Suppose 2/3*t + z + 1/3*t**3 + 5/6*t**2 = 0. Calculate t.
-1, -1/2
Suppose -86 = -2*r + 4*w, -2*w - 152 = -3*r - 39. Suppose 3*f + r = 5*c, f - 2 = -7. Factor 3*d**2 + 8*d**c + 9*d**2 - 4*d**2 - 2*d - 12*d**3 - 2*d**5 + 0*d**5.
-2*d*(d - 1)**4
Let q(l) be the second derivative of -11*l**2 + 5*l - 1/42*l**5 + 0*l**3 - 1/84*l**4 + 0. Let h(c) be the first derivative of q(c). Suppose h(k) = 0. What is k?
-1/5, 0
Let -3/5*w**3 - 27/5 + 51/5*w - 21/5*w**2 = 0. What is w?
-9, 1
Let y(f) be the second derivative of -5*f**4/12 - 255*f**3 + 1540*f**2 + 2*f + 3718. Suppose y(n) = 0. Calculate n.
-308, 2
Factor 215/3*m + 2300/3 + 5/3*m**2.
5*(m + 20)*(m + 23)/3
Suppose -30*c + 5003 = 4943. Factor 0 - 2/15*z**4 + 0*z - 4/15*z**3 - 2/15*z**c.
-2*z**2*(z + 1)**2/15
Factor 255*d - 272*d - 4936 + 1388*d - 5*d**2 + 369*d - 239.
-5*(d - 345)*(d - 3)
Let a(f) be the third derivative of -f**6/960 + 211*f**5/480 + 431*f**4/64 + 651*f**3/16 - 7*f**2 + 180*f. Factor a(k).
-(k - 217)*(k + 3)**2/8
Let l(n) be the third derivative of n**5/75 + 49*n**4/30 + 88*n**3/3 + 8161*n**2. Find o, given that l(o) = 0.
-44, -5
Let y be (-6 + 5)/((-4)/8). Find m, given that 2*m**4 + 185*m**3 - 191*m**3 + y*m + 4*m + 2*m**2 - 4 = 0.
-1, 1, 2
Let y = -418 + 421. Factor 26*q**2 - 3*q**2 - 15*q - 5*q**y - 3*q**2.
-5*q*(q - 3)*(q - 1)
Let v(g) be the third derivative of g**6/40 - 19*g**5/20 - 29*g**4/2 - 48*g**3 + 2404*g**2. Factor v(b).
3*(b - 24)*(b + 1)*(b + 4)
Let x be ((-130)/(-50) - -6) + -7. Factor -4/5 + x*o + 1/5*o**4 - 2/5*o**3 - 3/5*o**2.
(o - 2)*(o - 1)**2*(o + 2)/5
Suppose 3*o = -5*o + 240. Let i be (-5)/o + 133/6. Factor i*w + 2*w**3 + 4 - 10*w - 18*w + 0.
2*(w - 1)**2*(w + 2)
Let a(n) be the first derivative of -n**3/3 + 37*n**2 + 395*n + 3215. Factor a(c).
-(c - 79)*(c + 5)
Let d(f) be the second derivative of f**5/40 - 79*f**4/4 + 473*f**3/12 - 3*f - 141. Factor d(j).
j*(j - 473)*(j - 1)/2
Let y = 1863 - 1866. Let w be 1/(y*(-8 + 1 - -6)). Find q such that w*q**2 - 2/3*q + 1/3 = 0.
1
Let d = -50 - -95. Solve -d - 2*q - 8*q + 10*q + 5*q**2 = 0.
-3, 3
Let x be 74/40 + 22 + 405/(-18). Let u(b) be the third derivative of 10/3*b**4 + 0*b + 0 + 39/10*b**5 + x*b**6 - 12*b**2 + 4/3*b**3. Find p such that u(p) = 0.
-1, -2/9
Let m(v) be the third derivative of -v**6/240 - 111*v**5/10 + 1333*v**4/48 + 4791*v**2. Solve m(y) = 0.
-1333, 0, 1
Let b(z) = z**3 + z**2 + 5*z + 1. Suppose -4*d - 11 = -19. Let v(w) = 153*w - 2*w**d - w**2 - 168*w - 4*w**3 - 2. Let h(y) = 21*b(y) + 6*v(y). Factor h(f).
-3*(f - 3)*(f + 1)**2
Suppose 18*n = 101*n + 88*n - 6669. Let g(f) be the first derivative of -1/9*f**3 - 11/6*f**2 + 0*f + n. Factor g(l).
-l*(l + 11)/3
Let i = -5/24 + 85/216. Let d(a) be the second derivative of -1/90*a**5 - 1/54*a**4 + 5*a - 1/3*a**2 + i*a**3 + 0. Find p, given that d(p) = 0.
-3, 1
Suppose 5*z + 5*d = 2*d - 96, z - d + 16 = 0. Let u be 44/z + 5 - -1. Let -128/9*g + 14/3*g**4 - 40/9*g**3 - 160/9*g**2 + 2*g**5 - u = 0. Calculate g.
-2, -1, -2/3, 2
Let i = 47 + -45. Suppose -o - 4 = -i*o. Factor -10*r**o + 2*r**4 + 8*r**3 + 4*r**2 + 12*r**4.
4*r**2*(r + 1)**2
Let f be ((-6)/(-4) - (-5814)/855) + (-10)/(-50). Factor g + 3*g**4 + 9/2*g**2 + 0 - f*g**3.
g*(g - 2)*(g - 1)*(6*g + 1)/2
Let m = 1505 + -1500. Let l(s) be the third derivative of 0 + 17*s**2 - 1/30*s**m - 1/12*s**4 + 0*s + 0*s**3. Factor l(b).
-2*b*(b + 1)
Let u(a) = -15*a**2 - 252*a - 5031. Let l(n) = -253*n - 58*n**2 - 5029 + 15*n**2 + 26*n**2. Let d(f) = 6*l(f) - 7*u(f). Factor d(t).
3*(t + 41)**2
Let n(y) be the third derivative of 2*y**2 - 3*y + 0*y**5 + 0*y**3 + 1/40*y**6 - 1/8*y**4 + 0. Factor n(u).
3*u*(u - 1)*(u + 1)
Let z(t) be the third derivative of -t**7/1680 - 3*t**6/320 + 3*t**5/32 + 113*t**4/192 + 5*t**3/4 - 9*t**2 - 298*t. Factor z(m).
-(m - 5)*(m + 1)**2*(m + 12)/8
Factor 4*v**3 + 4496*v + 255 - 2652*v**2 - 3247 + 1144*v**2.
4*(v - 374)*(v - 2)*(v - 1)
Suppose -1/2*c**5 + 64*c - 4*c**2 - 14*c**3 + 5*c**4 - 64 = 0. What is c?
-2, 2, 4
Let z(r) be the third derivative of -r**6/2880 + r**5/480 + 11*r**3/6 + r**2. Let d(x) be the first derivative of z(x). Factor d(y).
-y*(y - 2)/8
Let r(o) be the third derivative of o**8/84 + 2*o**7/15 + o**6/3 - 4*o**5/3 - 28*o**4/3 - 64*o**3/3 - 317*o**2 - 2. Find y such that r(y) = 0.
-4, -2, -1, 2
Let f(y) = 2694*y + 26940. Let b be f(-10). Determine j, given that b - 2/19*j**4 + 8/19*j**2 + 2/19*j**3 - 8/19*j = 0.
-2, 0, 1, 2
Let c(r) be the third derivative of -r**6/100 + r**5/50 + r**4/20 - r**3/5 + 508*r**2. Determine o, given that c(o) = 0.
-1, 1
Let z(h) = -18*h**2 + 626*h - 790. Let d(g) = 2*g**2 - 23*g - 1. Let w(x) = -20*d(x) - 2*z(x). Factor w(b).
-4*(b - 2)*(b + 200)
Factor -3267/2 - 1584*q - 3/8*q**3 + 393/8*q**2.
-3*(q - 66)**2*(q + 1)/8
Let x be (-35*(-96)/400)/(10 - 8). Factor -66*p**4 + 1536/5 + 384*p**3 - 960*p**2 + 768*p + x*p**5.
3*(p - 4)**4*(7*p + 2)/5
Factor 816023*o + 1007215 + 2798*o**2 + 2*o**3 + 570310*o - 406335*o - 30013.
2*(o + 1)*(o + 699)**2
Let x be (0 + (-336)/(-20))*(11 + -16). Let w be 7/(-6)*(-1 + (-36)/x). Suppose 0*l + w*l**3 - 8/3 + 2*l**2 = 0. Calculate l.
-2, 1
Factor 189/2 + 32*w + 1/6*w**2.
(w + 3)*(w + 189)/6
Let d(h) be the third derivative of h**8/2352 - 37*h**7/1470 + 71*h**6/840 - h**5/12 + 2750*h**2. Factor d(k).
k**2*(k - 35)*(k - 1)**2/7
Let h(m) = 14*m**3 + 154*m**2 - 342*m + 174. Let o(g) = -2*g**3 + 3*g**2 - g. Let n(c) = -h(c) - 8*o(c). Solve n(d) = 0 for d.
1, 87
Let c = 4686 + -210869/45. Let x(n) be the second derivative of c*n**6 + 0 - 13*n + 4/3*n**3 - 2/5*n**5 + 35/18*n**4 - 12*n**2. Suppose x(q) = 0. Calculate q.
-1, 1, 6
Let u be (-4)/(-140) + 41138/64470. Factor 0*p**4 + p**3 - u*p**2 + 0 - 1/3*p**5 + 0*p.
-p**2*(p - 1)**2*(p + 2)/3
Let j(a) be the first derivative of a**4/18 - 2*a**3/9 + 2*a**2/9 + 6518. Factor j(u).
2*u*(u - 2)*(u - 1)/9
Suppose -9897*w = -9892*w - 10. Factor 1/2*b**3 + 6*b + 0 + 10*b**w - 3/2*b**4.
-b*(b - 3)*(b + 2)*(3*b + 2)/2
Let x be ((3625/(