ctor x + 98/3*u + 208/3*u**2 + 32/3*u**3.
2*(u + 6)*(4*u + 1)**2/3
Factor -9/8 + 15/4*i + 9/4*i**3 - 3/8*i**4 - 9/2*i**2.
-3*(i - 3)*(i - 1)**3/8
Let p(l) be the third derivative of -l**9/1680 + l**8/400 - l**7/700 - 71*l**3/2 + 125*l**2. Let i(r) be the first derivative of p(r). Solve i(u) = 0 for u.
0, 1/3, 2
Let r(s) be the second derivative of -24*s**2 + s + 1/3*s**4 + 8/3*s**3 - 9. Solve r(b) = 0.
-6, 2
Let h(p) = 3*p**2 + p + 1. Let o(n) = -10*n**2 + 37*n + 126. Let t(y) = -6*h(y) - 2*o(y). Factor t(c).
2*(c - 43)*(c + 3)
Suppose -77 = -17*c + 24*c. Let y be c/((-99)/(-90)*-5). Factor -9/4*l + 3/4*l**y + 3/2.
3*(l - 2)*(l - 1)/4
Let r(n) be the second derivative of -n**6/135 - n**5/90 + 25*n**4/27 - 16*n**3/9 + 3724*n. Find l, given that r(l) = 0.
-8, 0, 1, 6
Suppose -11*n + 2870 = -n. Let i be (-52)/154 - (-123)/n. Find x, given that i*x**2 + 1/11 + 2/11*x = 0.
-1
Let d be (429/26 + -15)/(-4*(3 + 220/(-72))). Factor -99/8*f + d*f**2 + 6 - 3/8*f**3.
-3*(f - 16)*(f - 1)**2/8
Let o(j) = j**4 - j**3 - 2*j**2 - j - 1. Let a(g) = 13*g**4 - 41*g**3 + 120*g**2 - 269*g + 133. Let s(t) = -a(t) + 11*o(t). Factor s(i).
-2*(i - 8)*(i - 3)**2*(i - 1)
Let n(y) be the second derivative of -y**7/231 - 4*y**6/33 - 15*y**5/22 + 250*y**4/33 + 2500*y**3/33 - 3*y + 472. Suppose n(m) = 0. Calculate m.
-10, -5, 0, 5
Let x(u) be the third derivative of 29/228*u**4 - 3 + 3/190*u**5 + 6*u**2 + 2/19*u**3 + 0*u. Factor x(i).
2*(i + 3)*(9*i + 2)/19
Let i(r) be the second derivative of 189*r - 8/3*r**3 + 0*r**2 - 13/3*r**4 - 3/5*r**5 + 0. Solve i(x) = 0 for x.
-4, -1/3, 0
Suppose 46*v**4 + 398/3*v**2 - 44*v + 0 - 134*v**3 - 2/3*v**5 = 0. What is v?
0, 1, 66
Let f(i) be the second derivative of -5*i**4/72 - 25*i**3 - 445*i**2/3 - 29*i. Solve f(a) = 0 for a.
-178, -2
Factor 84*p - 7*p + 53*p + 3*p**2 - 34*p - 179 - 136.
3*(p - 3)*(p + 35)
Let v be (-52 + 27 + 25)/5. Factor -72/7*g**2 - 648/7*g + v - 2/7*g**3.
-2*g*(g + 18)**2/7
Let a(k) be the second derivative of -k**5/90 - 5*k**4/54 + 2*k**3/9 + 9*k + 60. Factor a(c).
-2*c*(c - 1)*(c + 6)/9
Let w = 192795/4 - 48198. Factor -w*r**2 - 3 - 3*r.
-3*(r + 2)**2/4
Let f be (8/(-16))/(((-3)/6 - -13)*3/(-420)). Suppose -10*t - 2/5*t**3 + 24/5 + f*t**2 = 0. Calculate t.
1, 12
Solve -1489*b**3 + 32*b - 34*b**2 + 2986*b**3 - 1495*b**3 = 0.
0, 1, 16
Let t be ((-216)/126)/((6/(-9))/(2/6)). Factor -60/7*v - t*v**2 + 0.
-6*v*(v + 10)/7
Let l(s) be the third derivative of 6*s**2 + 0*s + 0*s**3 - 1/12*s**4 + 0 + 3/160*s**6 + 17/120*s**5. Suppose l(v) = 0. What is v?
-4, 0, 2/9
Let m(p) be the first derivative of 3*p**4/4 + 6*p**3 - 27*p**2/2 - 162*p - 5748. Factor m(n).
3*(n - 3)*(n + 3)*(n + 6)
Factor 212*c - 336 - 88/3*c**2 - 4/3*c**3.
-4*(c - 3)**2*(c + 28)/3
Let y(r) be the third derivative of r**5/12 + 5*r**4/3 - 1045*r**3/6 - 2651*r**2. What is i in y(i) = 0?
-19, 11
Let f(i) = 25*i**3 - 400*i**2 - 5*i + 83. Let l be f(16). Suppose -550/3*u**l + 40*u**4 - 110/3*u + 460/3*u**2 + 24*u**5 + 8/3 = 0. What is u?
-4, 1/6, 1
Let h(m) be the second derivative of -m**8/420 + m**7/70 + m**6/9 + 13*m**3/6 + m**2 - 148*m. Let u(c) be the second derivative of h(c). Factor u(r).
-4*r**2*(r - 5)*(r + 2)
Let 33*u**4 - 280*u**3 + 73*u**3 + 417*u**2 + 1419 - 1365 - 297*u = 0. What is u?
3/11, 1, 2, 3
Let z = -45340 - -272041/6. Suppose -h + 9 = h - q, 5*q + 33 = 4*h. Find t, given that 0 - t**h - z*t**3 - 3/2*t = 0.
-3, 0
Let g be 8/42 - ((-2)/10)/((-63)/(-45)). Let u(q) be the third derivative of 0*q**3 + 7*q**2 - g*q**4 + 1/24*q**6 + 0*q + 3/10*q**5 + 0. What is y in u(y) = 0?
-4, 0, 2/5
Let s(g) be the first derivative of g**6/24 + 27*g**5/10 - g**4/16 - 9*g**3/2 + 2480. Determine v so that s(v) = 0.
-54, -1, 0, 1
Let f(l) = l**4 + 2*l + 1. Let x(z) = -900*z**5 + 5150*z**4 - 7045*z**3 + 3375*z**2 - 650*z + 30. Let s(m) = 10*f(m) + x(m). Suppose s(i) = 0. What is i?
1/6, 2/5, 1, 4
Let m = -315312/209 - -29328/19. Factor -m*v - 2/11*v**3 + 52/11*v**2 + 576/11.
-2*(v - 12)**2*(v - 2)/11
Let m(y) be the third derivative of 143*y**2 + 0*y + 0*y**4 - 1/45*y**5 + 0*y**3 + 0 + 1/720*y**6. What is a in m(a) = 0?
0, 8
Suppose 0*z**2 + 180759*z - 1407 - 3*z**2 - 179349*z = 0. Calculate z.
1, 469
Let z(f) = 5*f**3 + 1820*f**2 + 10*f - 5. Let v(b) = -7*b**3 - 2729*b**2 - 16*b + 8. Let d(i) = 5*v(i) + 8*z(i). Factor d(n).
5*n**2*(n + 183)
Suppose -16/5*u**3 + 136/5*u - 4/5*u**4 - 224/5 + 108/5*u**2 = 0. Calculate u.
-7, -2, 1, 4
Let q be 40*((-5)/6 - 2522/(-780)). Suppose -85*r + 133*r = q. Factor 32/3*n**3 + 8*n**r + 2*n + 1/6.
(4*n + 1)**3/6
Let x(v) be the second derivative of v**6/55 - 3*v**5/22 - 9*v**4/11 + 72*v**3/11 + 1588*v. Find g such that x(g) = 0.
-4, 0, 3, 6
Let v(m) = 30*m**3 + 75*m**2 + 95*m + 5. Let f(b) = 17*b**3 + 38*b**2 + 47*b + 3. Let h(l) = -5*f(l) + 3*v(l). Factor h(c).
5*c*(c + 2)*(c + 5)
Let q(h) be the first derivative of -h**3/18 + 13*h**2/12 + 19*h - 1296. Let q(r) = 0. What is r?
-6, 19
Factor 148*r + 126*r - 81*r + 3*r**3 - 108*r**2 + 176*r + 480.
3*(r - 32)*(r - 5)*(r + 1)
Let x(r) be the third derivative of -r**5/150 + 122*r**4/15 + 163*r**3/5 - 4*r**2 - r - 90. Let x(u) = 0. Calculate u.
-1, 489
Let u(v) = 5*v**3 - 112190 + 129830 + 411*v**2 - 4*v**3 + 1599*v - 21480*v + 293829. Let t(y) = y**3 - 3*y**2. Let n(s) = -4*t(s) + u(s). Factor n(d).
-3*(d - 47)**3
Let r(c) be the third derivative of c**6/280 - 12*c**5/35 - 379*c**4/56 - 165*c**3/7 + 3773*c**2. Factor r(s).
3*(s - 55)*(s + 1)*(s + 6)/7
Let s = -9541524/5 + 1908305. Let c = -37 + 186/5. Factor -s*g - 1/5*g**5 - 2/5*g**2 + 2/5*g**3 + 1/5*g**4 + c.
-(g - 1)**3*(g + 1)**2/5
Let g(v) = -11*v**4 + 4*v**3 + 342*v**2 - 5380*v + 4945. Let y(m) = -9*m**4 + 5*m**3 + 359*m**2 - 5381*m + 4946. Let o(x) = 4*g(x) - 5*y(x). Factor o(j).
(j - 15)**2*(j - 1)*(j + 22)
Find s such that -19/3*s + 1/3*s**2 - 20/3 = 0.
-1, 20
Let n(b) = b**2 - 12*b - 37. Let f be n(17). Let k = f - 46. Find w such that -4*w**3 - 4*w + 7*w - 8*w**k - 3*w = 0.
-2, 0
Let r(x) be the first derivative of -x**5/70 + 13*x**4/84 - 2*x**3/3 - 11*x**2/2 + 7*x - 100. Let b(c) be the second derivative of r(c). Solve b(v) = 0 for v.
2, 7/3
Suppose 31*p - 49 - 44 = 0. Factor 0*b**5 + b**p + 2*b**5 + 946*b**4 - 9*b**3 - 948*b**4 + 8*b**2.
2*b**2*(b - 2)*(b - 1)*(b + 2)
Let z(o) be the second derivative of -o**8/112 - o**7/35 - o**6/40 - 59*o**2/2 + 2*o - 1. Let s(d) be the first derivative of z(d). Suppose s(k) = 0. What is k?
-1, 0
Let 46/15*i**3 - 152/15*i + 196/15*i**2 - 32/15*i**4 - 272/15 - 2/15*i**5 = 0. What is i?
-17, -2, -1, 2
Let i = 14766 - 14766. Let l(f) be the first derivative of -3/8*f**4 - 1/3*f**3 + 0*f**5 - 19 + 1/12*f**6 + i*f**2 + 0*f. Suppose l(h) = 0. What is h?
-1, 0, 2
Let h be 2 + 5 - 1*(2 - 3) - 4. Factor 0 - 1/6*w**5 - 5/6*w**h - 4/3*w**3 - 2/3*w**2 + 0*w.
-w**2*(w + 1)*(w + 2)**2/6
Let g(k) be the third derivative of k**8/336 - 9*k**7/7 + 243*k**6 - 26244*k**5 + 1771470*k**4 - 76527504*k**3 + 249*k**2. Determine i so that g(i) = 0.
54
Let o be (4/36)/(5*(-17)/(-680)). Solve -14/9*b**3 + 16/9*b - 2/3*b**2 - 4/9*b**4 + o = 0 for b.
-2, -1/2, 1
Factor -204/5*h - 6048/5 + 4/5*h**2.
4*(h - 72)*(h + 21)/5
Suppose -9017*c = -10212*c + 667 + 5308. Factor 6*s**4 + 3/5*s**c - 108/5*s**3 + 0 + 114/5*s**2 - 39/5*s.
3*s*(s - 1)**3*(s + 13)/5
Factor -3/5*f**2 + 279/5 + 84/5*f.
-3*(f - 31)*(f + 3)/5
Solve -570*r + 72 - 1165*r**2 + 2339*r**2 - 1477*r**2 = 0 for r.
-2, 12/101
Let f(z) be the first derivative of 5/2*z**6 - 75*z**2 + 5 - 19*z**5 + 135/4*z**4 + 40*z + 55/3*z**3. Let f(w) = 0. Calculate w.
-1, 1/3, 1, 2, 4
Suppose 7*p + 15 = 10*p. Suppose -p = -8*t + 3. Factor -1 - 4*z**3 + 2*z**3 + t + 4*z**2.
-2*z**2*(z - 2)
Let j(f) be the first derivative of -20*f**2 - 4/3*f**3 + 7 - 100*f. Suppose j(g) = 0. What is g?
-5
Let v(d) be the third derivative of 5*d**4/24 - 16*d**3/3 - d**2 + 210. Let s be v(7). Factor 4/7*m**s - 10/7*m**2 + 8/7*m - 2/7.
2*(m - 1)**2*(2*m - 1)/7
Let s(o) be the second derivative of 1/72*o**4 + 0 + 71*o - 2/9*o**3 + 4/3*o**2. Suppose s(m) = 0. Calculate m.
4
Let s(m) be the first derivative of m**4/24 - 197*m**3/18 - 33*m**2/2 - 2210. Suppose s(b) = 0. Calculate b.
-1, 0, 198
Let f(l) be the third derivative of l**8/5040 + 5*l**7/252 - 13*l**6/90 - 197*l**5/60 - 259*l**2. Le