Factor 32/21*x**4 + 2/21*x**5 + 26/7*x**3 + 0 + 0*x + 0*x**2.
2*x**3*(x + 3)*(x + 13)/21
Let d = -831296 + 4156549/5. Determine j so that 3/5*j**2 + d - 72/5*j = 0.
1, 23
Factor -73/4 + 1/4*u**2 - 18*u.
(u - 73)*(u + 1)/4
Let p(t) be the first derivative of -t**7/1260 + t**6/1350 + 7*t**5/900 + 17*t**3 - 83. Let x(a) be the third derivative of p(a). Factor x(k).
-2*k*(k + 1)*(5*k - 7)/15
Let z(l) = 2*l + 34. Let n be z(-15). Suppose -3*r + 6 = 2*r - n*u, -5*r = -3*u - 7. What is c in -3*c**2 - 2*c**2 + 48 + 10*c**r - 2*c**2 + 24*c = 0?
-4
Suppose -24*y + 7316 = -7180. Let d = y - 602. Let -1/3*k**d + 0 + 1/3*k = 0. Calculate k.
0, 1
Let y = 127961/3 + -42643. Let m be (4 - 1)*(-32)/(-18). Find i, given that -16/3*i**3 - y + 2*i**4 - m*i**2 + 64/3*i = 0.
-2, 2/3, 2
Let w(t) be the third derivative of t**6/40 + 81*t**5/20 - 42*t**4 + 170*t**3 + 215*t**2 + 4*t + 4. Factor w(l).
3*(l - 2)**2*(l + 85)
Find a, given that -110784 + 2*a**2 + 110784 + 754*a = 0.
-377, 0
Let s(h) = 1848*h + 20329. Let t be s(-11). Find n such that -3/2*n + 1/2*n**2 + t = 0.
1, 2
Factor -399*q**4 - 4019*q**2 + 3799*q**2 - 72*q + 315*q**4 - 4*q**5 - 228*q**3.
-4*q*(q + 1)**3*(q + 18)
Let u = 99 + -44. Let n = 69 - u. Determine t so that -3*t**4 - 31*t + n*t - t**3 - t**5 + 3*t**2 + 19*t = 0.
-2, -1, 0, 1
Factor -5 - 555/2*x - 545/2*x**2.
-5*(x + 1)*(109*x + 2)/2
Let d(y) be the first derivative of -y**6/12 - 5*y**5/2 - 17*y**4/8 + 181*y**3/6 + 159*y**2/2 + 72*y + 6210. Solve d(o) = 0.
-24, -2, -1, 3
Let i(h) = 22*h**4 - h**3 - 90*h**2 - 9*h + 405. Let p(y) = -10*y**4 + 46*y**2 + 4*y - 204. Let l(a) = 4*i(a) + 9*p(a). Factor l(o).
-2*(o - 3)**2*(o + 2)*(o + 6)
Suppose -133 - 85 = 2*c. Let n = c + 113. Factor -19*k**3 + 8*k**2 - 21*k**2 - 4 - 17*k - 5*k**n - 14*k**2.
-(k + 1)**3*(5*k + 4)
Let n be (4 - 0)/2 + (14 - -46). Suppose 60 = -t + n. What is b in 0 + 0*b**t - 2/15*b**4 - 8/15*b**3 + 0*b = 0?
-4, 0
Suppose 15 = 8*x - 5*p, 0 = 6*p - 2*p + 12. Let u(b) be the first derivative of 7 + 4/9*b**3 + 0*b + x*b**2. Factor u(v).
4*v**2/3
Let s(n) be the second derivative of 15*n**2 + 1/4*n**4 + 0 + 11/2*n**3 + 204*n. Determine w so that s(w) = 0.
-10, -1
Suppose -457 = -16*n - 25. Suppose 102 = 25*j + n. Let -6/7*r + 3/7*r**4 + 0 + 6/7*r**j - 3/7*r**2 = 0. Calculate r.
-2, -1, 0, 1
Let h(f) be the second derivative of -f**5/4 - 25*f**4/3 - 85*f**3/6 + 95*f**2 - 97*f - 11. Factor h(i).
-5*(i - 1)*(i + 2)*(i + 19)
Let l be (-465)/(-120) - (-4)/32. Factor -59414*p**4 + 2*p**3 + 13*p**2 + 2*p + 59423*p**l + 22*p**3.
p*(p + 2)*(3*p + 1)**2
Let i(k) = 2*k**2 - 776*k + 55274. Let h be i(294). Let -3/5*j**h + 18/5 - 3/5*j = 0. Calculate j.
-3, 2
Let a(x) be the third derivative of -x**5/90 + 41*x**4/12 - 816*x**2. Factor a(t).
-2*t*(t - 123)/3
Let t = -353150 - -353152. Let 2/13*d**t - 116/13*d + 1682/13 = 0. Calculate d.
29
Let d(s) = 83*s**4 + 27*s**3 + s**2 + 87*s - 33. Let c(m) = 20*m**4 + 7*m**3 + 21*m - 8. Let i(g) = -33*c(g) + 8*d(g). Factor i(f).
f*(f - 3)*(f - 1)*(4*f + 1)
Let v(z) be the third derivative of z**6/360 + 13*z**5/180 + 5*z**4/36 - 4*z**3/3 + 484*z**2 - 4. Factor v(q).
(q - 1)*(q + 2)*(q + 12)/3
Let -22/9*c - 11/9*c**2 + 23/9*c**3 - 5/9*c**4 - 1/9*c**5 + 16/9 = 0. Calculate c.
-8, -1, 1, 2
Let s(t) = -88*t**3 + 236*t**2 + 342*t - 364. Let p(j) = -8*j**3 - j**2 + j + 2. Let o(n) = -20*p(n) + 2*s(n). Factor o(i).
-4*(i - 32)*(i + 2)*(4*i - 3)
Let v(p) = 13*p - 2*p**2 - 4*p**2 + 5*p**2 - 9. Let k be v(12). Solve -187*h**2 + 5*h**5 + 177*h**2 + 10*h**4 + 0*h**3 - 5*h**k = 0 for h.
-2, -1, 0, 1
Determine h, given that -86 + 173 + 585 - 236*h + 3167543*h**2 - 3167539*h**2 = 0.
3, 56
Let h(c) = -3*c**2 - 3*c - 4. Let a(b) be the second derivative of 2/3*b**3 + 4*b + 0 + 1/3*b**4 + 5/2*b**2. Let x(v) = 4*a(v) + 5*h(v). Factor x(y).
y*(y + 1)
Factor -109/6*u - 37/3 - 17/3*u**2 + 1/6*u**3.
(u - 37)*(u + 1)*(u + 2)/6
Let y(z) be the first derivative of 0*z - 13*z**2 - 17 + 1/8*z**4 + 0*z**3 + 1/60*z**5. Let t(s) be the second derivative of y(s). Factor t(b).
b*(b + 3)
Let f = 102 + -12. Factor 18*d**2 + 8 - 15*d**2 + f*d + 18*d - 8.
3*d*(d + 36)
Let o = 54770 - 608026/11. Let k = o - -506. Suppose 0 + 8/11*d + k*d**3 + 24/11*d**2 = 0. Calculate d.
-2, -2/5, 0
Let g(j) be the third derivative of -j**8/2184 + 41*j**7/1365 - 77*j**6/390 + 113*j**5/195 - 149*j**4/156 + 37*j**3/39 - 184*j**2 + j + 1. Solve g(q) = 0.
1, 37
Let v(f) be the second derivative of 1849*f**4/8 - 43*f**3/2 + 3*f**2/4 - 4403*f. Factor v(n).
3*(43*n - 1)**2/2
Let l(g) be the first derivative of g**3 + 867*g**2 + 250563*g - 215. Factor l(q).
3*(q + 289)**2
Let x(q) be the first derivative of -q**4/3 - 2*q**3 + 20*q**2 - 15*q - 15. Let o(s) be the first derivative of x(s). Factor o(g).
-4*(g - 2)*(g + 5)
Let u(b) be the third derivative of -b**7/140 - b**6/40 + 6*b**5/5 + 191*b**2 + b. Let u(j) = 0. What is j?
-8, 0, 6
Let a(p) be the third derivative of p**6/660 + 11*p**5/15 + 1331*p**4/12 - 4*p**2 + 3*p + 66. Factor a(i).
2*i*(i + 121)**2/11
Let c be (117/624)/((-3)/(-2)) + (-35)/(-168). Solve c*g**2 + 1/3 + 2/3*g = 0.
-1
Let r(f) = -992*f - 202365. Let w be r(-204). Suppose -56/5 + 64/5*t + 2/5*t**w - 22/5*t**2 = 0. Calculate t.
2, 7
Let t = -40669/4 + 45159/4. Let p = -24635/22 + t. What is q in 14/11*q**2 + 18/11 + p*q + 2/11*q**3 = 0?
-3, -1
Let i(u) be the second derivative of 1/10*u**6 + 0*u**2 + 130*u + 0*u**3 + 0 + 0*u**4 - 3/70*u**5. Factor i(d).
3*d**3*(7*d - 2)/7
Let u(m) be the second derivative of 0*m**2 - 1/14*m**5 - 1/21*m**4 - 1/147*m**7 + 0*m**3 + 4*m - 4/105*m**6 + 0. Factor u(o).
-2*o**2*(o + 1)**2*(o + 2)/7
Let i(b) = b**3 - 25*b**2 - 50*b - 68. Let q be i(27). Suppose -42*z + q*z + 8 = 0. Factor 5/3*v**3 + 1/6*v**z + 37/6*v**2 + 6 + 10*v.
(v + 2)**2*(v + 3)**2/6
Let o(g) be the second derivative of -g**7/126 + 7*g**6/90 + g**5/2 + g**4/9 - 20*g**3/9 + 1457*g. Determine r so that o(r) = 0.
-2, 0, 1, 10
Let w = -60 + 55. Let y be ((-80)/25 - w) + 1/5. Determine o so that -12*o**2 + 3*o**4 - o**2 + 2*o**2 - 6*o + 2*o**y = 0.
-1, 0, 2
Let q = 56340 + -56338. Suppose 5*d = 4*d + 3. Factor -2/13*x**d + 0*x + 0*x**q + 0.
-2*x**3/13
Suppose -1033*l = -209*l - 1348 - 300. Determine w so that 81/8*w + 21/2 - 3/8*w**l = 0.
-1, 28
Suppose 4*n + 4*t - 36 = 0, 6*t = -4*n + 8*t + 24. Let j be (39 - n)/(3/(9/102)). Factor 32/17 + 2/17*p**2 + j*p.
2*(p + 4)**2/17
Let a(l) be the third derivative of -l**5/60 + 13*l**4/8 - 112*l**3/3 - 2359*l**2 - 2. Suppose a(q) = 0. Calculate q.
7, 32
Let g = 10 + -6. Suppose -3*m = -d - 10, m + 19 = g*d + 4. Factor -24*k - 3*k**2 + 36 + 2*k**2 + m*k**2.
4*(k - 3)**2
Suppose 3859 = u + 2*r + 3890, 2*u - 28 = r. Determine k so that -3/4*k**u + 0 - 3/4*k**4 + 0*k + 3/4*k**3 + 3/4*k**2 = 0.
-1, 0, 1
Suppose 0 + 1/3*m**3 + 16*m**2 + 215/3*m = 0. Calculate m.
-43, -5, 0
Let u(h) be the first derivative of -h**7/5880 + 2*h**6/105 - 24*h**5/35 + 35*h**3 + 129. Let s(j) be the third derivative of u(j). Factor s(k).
-k*(k - 24)**2/7
Let r(s) be the first derivative of -5*s**6/6 + 64*s**5 - 1785*s**4/4 + 870*s**3 + 427. Find x such that r(x) = 0.
0, 3, 58
Let f be 4 + 9/(-15) + 8/5. Factor 214*w**5 - 4*w**2 - 3*w**4 + 16*w**3 - 102*w**f - 17*w**4 - 104*w**5.
4*w**2*(w - 1)**2*(2*w - 1)
Let l(u) be the second derivative of 1/12*u**3 - 1/6*u**2 + 51*u + 1/60*u**6 - 7/120*u**5 + 0 + 1/24*u**4. Factor l(d).
(d - 1)**3*(3*d + 2)/6
Suppose -598 = -160*g + 137*g. Suppose g = -11*s + 48. Factor 1/3*l**3 + 5/3*l**s + 8/3*l + 4/3.
(l + 1)*(l + 2)**2/3
Let g = -951 + 983. Let o be g/528 - 118/(-231). Factor -2/7*f - o + 2/7*f**2.
2*(f - 2)*(f + 1)/7
Let t = 7853 + -7853. Let s(l) be the first derivative of -4*l**4 + t*l - 4/5*l**5 - 20/3*l**3 + 21 - 4*l**2. What is m in s(m) = 0?
-2, -1, 0
Let x be 52/10 - (7 + (3 - (6 - 1))). Let p(d) be the second derivative of -1/15*d**3 + 3*d + 1/50*d**5 + 1/30*d**4 + 0 - x*d**2. Solve p(t) = 0.
-1, 1
Let r(h) = -2*h**2 - 75*h + 291. Let l be r(-41). Let u(i) be the first derivative of 0*i**2 + 2/5*i**5 + 12 - 3/2*i**l + 4/3*i**3 + 0*i. Solve u(o) = 0.
0, 1, 2
Let w be -2*870/284 - -6. Let f = w + 285/568. Solve f*z**2 + 3/2*z + 3/2 = 0.
-2
Factor 0 + 87*q**2 - 195/2*q**3 + 3/2*q**4 + 576*q.
3*q*(q - 64)*(q - 3)*(q + 2)/2
Let g be (-1*15)/(10/30).