ppose -9*k = -s*k. Factor 0*y**2 + 2/11*y - 2/11*y**3 + k.
-2*y*(y - 1)*(y + 1)/11
Factor 1/3*c**3 - 107*c - 5/3*c**2 - 105.
(c - 21)*(c + 1)*(c + 15)/3
Let m(n) = 18*n + 542. Let i be m(-30). Let c(l) be the third derivative of 1/105*l**5 + 6/7*l**3 - 6*l**i + 0*l - 1/7*l**4 + 0. Find d such that c(d) = 0.
3
Let v(t) = -8*t**2 - 362*t + 342. Let j(m) = 11*m**2 + 374*m - 343. Let z(d) = -4*j(d) - 6*v(d). Factor z(k).
4*(k - 1)*(k + 170)
Let k = 419667 - 419667. Factor k - 242/5*o - 44/5*o**2 - 2/5*o**3.
-2*o*(o + 11)**2/5
Let k be -11 - -6*221/117. Let d(h) be the third derivative of -9/5*h**5 + 25/24*h**4 + 0*h - 32/105*h**7 - 14*h**2 - k*h**3 + 0 + 22/15*h**6. Factor d(n).
-(n - 2)*(4*n - 1)**3
Let b be (1/(-35))/(233/(-11650)). Determine t, given that -2*t**3 - 4/7*t**2 + 0 + 0*t - b*t**4 = 0.
-1, -2/5, 0
Let a(h) = 7*h - 228. Let i be a(33). Let -56*j**3 + 52*j + 85*j**3 + 2*j**2 - 31*j**i + 48 = 0. Calculate j.
-4, -1, 6
Suppose 8 = -4*f - 4*r, 4*f + 4*r = 3*f - 17. Suppose -47 = 293*j + 4*j + 24 - 368. Factor 7/3*g - 5/3*g**2 + 1/3*g**f - j.
(g - 3)*(g - 1)**2/3
Let k(t) be the second derivative of -t**7/28 + t**6/4 + 39*t**5/20 - 11*t**4/2 - 62*t**3 - 168*t**2 + t + 1920. Determine p, given that k(p) = 0.
-2, 4, 7
Let n(p) = 2*p**3 + 4*p - 2. Let f(c) = c**2 - 5*c**3 - 5*c + 15*c - 11*c + 3*c**3. Let b(h) = 4*f(h) + 2*n(h). Suppose b(o) = 0. Calculate o.
-1, 1
Let u(h) be the third derivative of h**7/168 - 7*h**6/72 + 5*h**5/8 - 15*h**4/8 + 67*h**3/6 - 89*h**2. Let d(r) be the first derivative of u(r). Factor d(n).
5*(n - 3)**2*(n - 1)
Suppose -144 = -6*h - 6*h. Suppose 7*i - 9 = h. Factor 3 + 29 + i*s - 24*s - 8*s**2 - 4*s**3 + 37*s.
-4*(s - 2)*(s + 2)**2
Let q be (-2)/26 + 133574/4888 + (-28 - -3). Suppose -q*v + 3/2*v**3 - 3/8*v**4 - 3/8*v**2 + 0 = 0. Calculate v.
-1, 0, 2, 3
Let b(j) = j**3 - 4*j**2 - 9*j - 4. Let g be b(6). Let x be (-4)/14 + (-7 - (-130)/g). Let -3*a**x - 2*a**2 + 2*a**3 + 8*a + 2*a**3 - 7*a**2 = 0. What is a?
0, 1, 2
Let b(u) be the first derivative of -39*u**3 + 12 - u - 38/5*u**5 + 41/2*u**2 + 115/4*u**4. Factor b(k).
-(k - 1)**3*(38*k - 1)
Let s(n) be the first derivative of n**3/12 - 159*n**2/8 + 40. Factor s(a).
a*(a - 159)/4
Suppose h = -z - 4, -h + 4*z + 21 = 5. Factor 2*x**3 + 66*x**2 + h*x - 16*x - 6*x - 94*x**2 - 4*x**3 + 52.
-2*(x - 1)*(x + 2)*(x + 13)
Suppose 0*a = 2*a + 3*i - 39, 4*a - 54 = 2*i. Let o(k) be the first derivative of -k + 5/16*k**4 + 7/12*k**3 + a - k**2. Factor o(t).
(t - 1)*(t + 2)*(5*t + 2)/4
Let v(m) be the first derivative of -3/20*m**4 - 6*m**2 + 9/5*m**3 + 0*m + 11. Factor v(l).
-3*l*(l - 5)*(l - 4)/5
Suppose 335*l**2 - 161*l**3 + 159 + 1366 + 1855*l + 85*l**3 + 81*l**3 = 0. What is l?
-61, -5, -1
Let u(f) = -42*f**2 + 3. Let t(b) = -250*b**2 - 1532*b + 1548. Let j(y) = -t(y) + 6*u(y). Suppose j(p) = 0. What is p?
1, 765
Let m(r) be the third derivative of -r**6/210 - 17*r**5/210 - 11*r**4/42 - r**3/3 - 2*r**2 + 38*r - 24. Factor m(i).
-2*(i + 1)*(i + 7)*(2*i + 1)/7
Let r be -2*(-5)/(5/1). Let k be ((-196)/(-40) - 4)*(-5)/(-3). Suppose 9/2*l + k*l**3 + 15/2*l**r - 27/2 = 0. Calculate l.
-3, 1
Suppose 454 + 685 = 81*a + 734. Find c, given that 8/9*c**4 + 38/9*c**2 + 25/9*c**3 + 28/9*c + 1/9*c**a + 8/9 = 0.
-2, -1
Let v(f) be the second derivative of -1/24*f**4 + 0*f**2 + 1/12*f**3 - 1/160*f**5 + 0 - 63*f + 1/240*f**6. Factor v(a).
a*(a - 2)*(a - 1)*(a + 2)/8
Let q(r) be the first derivative of 35 - 1/20*r**5 - 1/60*r**6 + 20*r + 0*r**3 - 1/24*r**4 + 0*r**2. Let m(o) be the first derivative of q(o). Factor m(b).
-b**2*(b + 1)**2/2
Factor -197*v + 35*v + 3*v - 171*v - 2*v**2 + 668.
-2*(v - 2)*(v + 167)
Let h = 1225720 - 1225718. Factor 32/7*s - 2/7*s**h - 8.
-2*(s - 14)*(s - 2)/7
What is w in -103503*w - 216 - 3*w**4 - 103602*w - 45*w**3 - 198*w**2 + 206757*w = 0?
-9, -2
Let h(m) be the second derivative of -m**4/6 - m**3/6 - 4*m - 7. Let r(w) = 2*w**4 - 12*w**3 + 52*w**2 + 30*w - 18. Let d(v) = 36*h(v) + 2*r(v). Factor d(i).
4*(i - 3)**2*(i - 1)*(i + 1)
Let k = -39 - -41. Let f be ((-1)/1)/((-1)/k). Solve 32*y - 8*y + 25*y**2 + 48 - 43*y**f + 21*y**2 = 0 for y.
-4
Let l(w) be the first derivative of -2*w**5/35 + 9*w**4/14 + 20*w**3/7 - 88*w**2/7 + 13192. Let l(f) = 0. What is f?
-4, 0, 2, 11
Let g = -19/776 - -12549/5432. Let -10/7*z**3 + g*z**4 - 6/7*z**2 + 0*z + 0 = 0. What is z?
-3/8, 0, 1
Let u(o) be the first derivative of -o**3/21 + 289*o**2/7 - 83521*o/7 + 1911. Solve u(r) = 0.
289
Let m(f) be the first derivative of -15*f + 5/4*f**3 + 5/2*f**2 - 5/16*f**4 - 80. Factor m(p).
-5*(p - 3)*(p - 2)*(p + 2)/4
Let m(u) = u**2 + u. Let n be 446/10 + 6/15. Let x = 39 - n. Let i(t) = 2*t**2 + 6*t - 2. Let s(h) = x*m(h) + 2*i(h). Factor s(l).
-2*(l - 2)*(l - 1)
Let f(s) = -s**3 - 19*s**2 + 107*s + 347. Let g be f(-23). Suppose -18*h**2 + g*h + 0 + 81/2*h**3 = 0. What is h?
0, 2/9
Suppose -151*d - 8 + 461 = 0. Factor 0 + 0*b**2 + 0*b**4 + 2/9*b + 2/9*b**5 - 4/9*b**d.
2*b*(b - 1)**2*(b + 1)**2/9
Suppose -3*d - 160 = -175. Factor -39*n**3 + 10*n**4 + 14*n**2 + 57*n**3 - 31*n + 2*n**d + 35*n.
2*n*(n + 1)**3*(n + 2)
Let d(p) = -7*p**2 + 1078*p - 58324. Let t(r) = 8*r**2 - 1077*r + 58326. Let n(f) = -3*d(f) - 2*t(f). Factor n(i).
5*(i - 108)**2
Let o(u) be the third derivative of -2*u**7/315 - 2*u**6/15 + u**5/15 + 19*u**4/9 + 16*u**3/3 - 320*u**2 - 3*u. Find m, given that o(m) = 0.
-12, -1, 2
Let t(k) be the second derivative of -k**5/150 + 3*k**4/5 - 293*k**3/45 + 16*k**2 + 144*k. Factor t(s).
-2*(s - 48)*(s - 5)*(s - 1)/15
Let o be 237/21 - 6/21. Suppose 0 = -5*d + 2*g + 8, 0 = -4*d - 4*g + o + 1. Factor 3 + 7*b - 2*b**2 + 8*b**d - 12*b - 4*b.
3*(b - 1)*(2*b - 1)
Let w(m) be the third derivative of -7/12*m**6 + 35/12*m**4 + 5/12*m**5 + 1/14*m**7 + 0*m - 18*m**2 + 0 - 20/3*m**3. Find g such that w(g) = 0.
-1, 2/3, 1, 4
Let d(y) = -5*y**3 + 2150*y**2 - 1431*y + 240. Let n(v) = 23*v**3 - 10751*v**2 + 7156*v - 1201. Let x(t) = 11*d(t) + 2*n(t). Determine u, given that x(u) = 0.
1/3, 238
Solve -2340*q + 254/7*q**2 + 4536 - 1/7*q**3 = 0.
2, 126
Let k(i) be the second derivative of i**6/165 + 38*i**5/55 + 312*i**4/11 + 13520*i**3/33 - 35152*i**2/11 - 2*i - 44. Factor k(r).
2*(r - 2)*(r + 26)**3/11
Let r = 39 - 44. Let v be r*(-30)/25 - 1. Factor -1 + 18 - 3 + 12*l - v + 3*l**2.
3*(l + 1)*(l + 3)
Suppose -7*s + 1 = z, -4*s + 5*z - 203 + 198 = 0. Let q(d) be the first derivative of s*d + 30 - 2*d**2 + 1/6*d**3. Determine p, given that q(p) = 0.
0, 8
Determine f so that -215*f**3 - 1618*f**4 - 759*f**2 + 1613*f**4 + 800*f + 179*f**2 = 0.
-40, -4, 0, 1
Let u(m) be the second derivative of -m**4/3 + 2*m**3/3 + 12*m**2 - 307*m. Find z, given that u(z) = 0.
-2, 3
Solve -2/3*v**3 - 196/3*v**2 + 0 - 194/3*v = 0 for v.
-97, -1, 0
Find r such that 2830*r**4 - 75*r**5 - 43*r - 2478*r**3 - 36 - 510*r**4 - 149*r**5 - 1773*r**2 - 475*r - 491*r**2 = 0.
-1/4, -1/7, 2, 9
Let w(y) be the third derivative of -y**5/12 - 155*y**4/8 + 1225*y**3/3 + 5168*y**2. Determine s, given that w(s) = 0.
-98, 5
Let r = 17967 + -17967. Factor r + 0*y - 2/7*y**3 + 4*y**4 + 0*y**2 - 14*y**5.
-2*y**3*(7*y - 1)**2/7
Let q = -273 + 275. Suppose -g - 5*y = -y - 12, -4*g = 4*y - 24. Factor -q - x**3 + g*x + 3*x - 4*x.
-(x - 1)**2*(x + 2)
Let a = 132541/10 - 13254. Let c(q) be the second derivative of 0 - 27*q + 0*q**2 - a*q**6 + 0*q**3 + 3/2*q**4 - 3/4*q**5. Determine f, given that c(f) = 0.
-6, 0, 1
Let t(i) be the second derivative of 111/7*i**4 + 144*i + 0 - 17/2*i**3 + 3/7*i**2. Factor t(n).
3*(4*n - 1)*(111*n - 2)/7
Let l = -167 - -172. Factor 10*p - 17*p**2 + 4*p**2 + 28*p**2 + l*p**3.
5*p*(p + 1)*(p + 2)
Let d be -15 - -13 - (-2 - 4). Let -d*u - 10*u**3 - 4*u**3 + 12*u**3 - 10*u**2 + 16 = 0. Calculate u.
-4, -2, 1
Suppose -5*s + 10 = 2*n, 0 = -4*n + s + 8 + 12. Solve -20*r**4 - 15*r**3 + 16*r + 98*r**2 + 4*r**3 + 4*r**n + 2*r**2 - 9*r**3 - 80 = 0.
-2, -1, 1, 2, 5
Suppose -28 = -4*f + 4*u, 0 = -5*f - 4*u + 4 - 5. Let t = 4 - 0. What is z in -2*z + 2 - f*z**2 - z**2 - t*z**2 + 4*z**2 = 0?
-1, 1/2
Factor 25 + 421/4*c + 83/4*c**2 - c**3.
-(c - 25)*(c + 4)*(4*c + 1)/4
Let r be (8/70)/(8/40). Let m be (-366)/(-126) + ((-16)/(-24) - 3). Factor -r*z**3 - 2/7*z**4 + 2/7*z**2 + 0 + m*z.
-2*z*(z - 1)*(z + 1)*(z + 2)/7
Let p(y) be the se