*(o + 1)*(o + 2)**3/2
Let w = 16/1599 - -469/6396. Let i(v) be the first derivative of 0*v**3 + 1/2*v**2 + 39 - w*v**4 + 2/3*v. Find j, given that i(j) = 0.
-1, 2
Let v = -199182 + 199184. Factor 12 - 24/5*k - 3/5*k**v.
-3*(k - 2)*(k + 10)/5
Suppose -o**5 - 857*o + o**5 + 969*o - 4*o**5 - 12*o**3 + 32*o**4 - 128*o**2 = 0. Calculate o.
-2, 0, 1, 2, 7
Let k = 15976 + -15972. Let l(b) be the first derivative of 0*b - 20 + 5/9*b**3 - b**2 + 1/12*b**k. Factor l(o).
o*(o - 1)*(o + 6)/3
Let f(l) be the second derivative of l**4/12 + 2407*l**3/3 + 5793649*l**2/2 - 2907*l + 2. Let f(h) = 0. What is h?
-2407
Let k(f) be the first derivative of f**3/12 + 65*f**2/2 - 261*f/4 + 5461. Factor k(u).
(u - 1)*(u + 261)/4
Let v = 29760/41 - 297477/410. Determine u, given that 1/10*u**4 + 1/2*u**3 - 13/10*u + 1 - v*u**2 = 0.
-5, -2, 1
Let d(m) = -m**2 - m + 2. Let l(p) = -880*p**2 - 10*p + 10. Let i(r) = 5*d(r) - l(r). What is v in i(v) = 0?
-1/175, 0
Factor 0*t**2 + 0 + 0*t + 3/8*t**4 + 171/2*t**3.
3*t**3*(t + 228)/8
Factor -3151*q**2 + 319 - 96 + 73 + 1276*q + 3159*q**2 + 340.
4*(q + 159)*(2*q + 1)
Let z = 10 - 8. Let t(k) = 3*k**4 - k**3 - 2*k**2 + 2. Let r(v) = -7*v**4 + 3*v**3 + 5*v**2 - 5. Let h(w) = z*r(w) + 5*t(w). Factor h(x).
x**3*(x + 1)
Suppose 512*f + 2/9*f**3 - 64/3*f**2 + 0 = 0. Calculate f.
0, 48
Suppose -149*v + 141*v + l + 240 = 0, 2*l = 0. Let o(q) be the first derivative of 0*q - v - 4/5*q**3 - 1/2*q**4 - 1/5*q**2. Factor o(n).
-2*n*(n + 1)*(5*n + 1)/5
Let b be 39/(6084/1898) - 12. Factor -w**3 + 0 - b*w**2 - 5/6*w**4 + 0*w.
-w**2*(w + 1)*(5*w + 1)/6
Suppose -4*m + 14 + 42 = 0, 5*w = -3*m + 6 + 96. Solve 0 - 2/11*u**3 - 198*u - w*u**2 = 0 for u.
-33, 0
Let -8/11*p**3 - 108/11 - 118/11*p**2 + 42*p = 0. What is p?
-18, 1/4, 3
Suppose 2*b + 15*b - 85 = 0. Suppose -b*c + 1678 = 1663. Determine l so that -27/4*l - 9/4*l**2 + 3*l**c - 3/2 = 0.
-1, -1/4, 2
Solve 11014 - 11102 - 172*q + 250*q**2 - 25*q**3 + 3*q**4 - 52*q**3 = 0 for q.
-1/3, 2, 22
Let n(d) be the third derivative of -11*d**7/6300 + 7*d**6/360 - d**5/50 - d**4/2 + d**3/6 - d**2 - 1. Let j(h) be the second derivative of n(h). Factor j(w).
-2*(w - 3)*(11*w - 2)/5
Suppose -5*j + 5 = 2*p, -4*j - 23 = -3. Suppose 30 = -p*t + 30*t. Determine w so that -48*w - 3/2*w**3 - 42 - 33/2*w**t = 0.
-7, -2
Let a(p) = -5*p**2 - 29*p + 7. Let h(u) = -6*u**2 - 26*u + 2. Let z(c) = -2*a(c) + 3*h(c). Suppose z(k) = 0. What is k?
-2, -1/2
Suppose 10*h - 7*h - 3*t = 60, 5*h + 5*t = 150. Factor 8*l - 46*l**2 + 27*l**2 - 2*l**3 + h*l**2.
-2*l*(l - 4)*(l + 1)
Let w = -46242085/76 - -608440. Let a = -90/19 - w. Factor 0*p - a*p**2 + 3/8 + 3/2*p**5 + 15/2*p**3 - 45/8*p**4.
3*(p - 1)**4*(4*p + 1)/8
Let c(g) be the second derivative of g**4/24 - 254*g**3/3 + 64516*g**2 - 1743*g. Determine b, given that c(b) = 0.
508
Let b be (-6 - 2871/(-486))/(4/(-6)). Let q(i) be the second derivative of -1/120*i**5 + 5*i + 1/18*i**4 + 1/6*i**2 - b*i**3 + 0. Solve q(a) = 0.
1, 2
Suppose i = z + 7, -5*z + z = 4*i - 4. Suppose 15 = 5*x - 4*g - 3, i*g = 3*x - 6. Factor 3/2 + 6*n + x*n**2.
3*(2*n + 1)**2/2
Factor 5*a - 5*a - 19*a + 15*a**2 + 4*a + 25*a**2.
5*a*(8*a - 3)
Suppose -38*p + 33*p = -3*h - 31, -5*p + 40 = 0. Let n(a) be the first derivative of 0*a + 0*a**2 - 4/3*a**h + 2 + 6/5*a**5 + 1/2*a**4. Solve n(t) = 0.
-1, 0, 2/3
Let w(s) = 153*s**2 - 8736*s + 149063. Let f(i) = -74*i**2 + 4368*i - 74531. Let r(l) = 5*f(l) + 2*w(l). Factor r(x).
-(8*x - 273)**2
Let l(f) be the third derivative of -2*f**7/105 - 43*f**6/30 - 104*f**5/3 - 200*f**4 + 4*f**2 + 40*f. Suppose l(j) = 0. What is j?
-20, -3, 0
Suppose 0 = -5*t + 25, 0 = -2*m + 3*t + 2*t + 125. Determine q, given that -23*q - 7*q - m - 74*q**2 + 71*q**2 = 0.
-5
Let s(w) be the third derivative of 0 - 7/6*w**3 - 1/420*w**5 + 44*w**2 + 0*w - 1/12*w**4. What is i in s(i) = 0?
-7
Let k(i) be the third derivative of i**6/540 + 113*i**5/270 - 382*i**2. Let k(o) = 0. What is o?
-113, 0
Let b(p) = p**3 - 4*p**2 - 6*p + 19. Let v be b(5). Suppose d + v = 21. Suppose -d*m**2 + 13*m**2 - 4*m**2 - 11*m**2 + 33*m + 12 = 0. Calculate m.
-1/3, 4
Let h(g) = -5*g**5 - 101*g**4 - 123*g**3 + 121*g**2 + 124*g - 4. Let p(q) = 2*q**5 - 4*q**4 - q**2 - q + 1. Let b(u) = h(u) + 4*p(u). Solve b(x) = 0.
-1, 0, 1, 40
What is w in 0 + 3/2*w**2 + 9*w - 1/2*w**3 = 0?
-3, 0, 6
Determine t, given that -41/2*t**2 + 0 + 6*t**3 - 1/2*t**4 + 15*t = 0.
0, 1, 5, 6
Let h(s) be the third derivative of 1/45*s**5 - 30*s**2 + 11/72*s**4 + 0*s + 1/3*s**3 + 0 - 1/360*s**6. Let h(c) = 0. Calculate c.
-1, 6
Let p be (22509/(-366))/(-41)*((-17)/(-9) + -1). Determine o so that p*o**2 + 10816/3 - 416/3*o = 0.
52
Determine h so that -733/2*h**2 + 147*h + 0 - 1/2*h**5 + 583/2*h**3 - 143/2*h**4 = 0.
-147, 0, 1, 2
Let l = 36832/3 - 12276. Factor l*j**2 + 1/3*j**3 - 6 - j.
(j - 2)*(j + 3)**2/3
Let q(i) be the second derivative of 4*i**4 + 13*i**3/6 - 6235*i. Factor q(f).
f*(48*f + 13)
Solve 924 + 250*z + 104/7*z**2 - 2/7*z**3 = 0 for z.
-7, 66
Let h be -256*(-1)/((-4)/(-2 + -2)). Suppose 0 = 4*k + 4*w - h, 6*w - 3*w = 3*k - 180. Factor 99 - 34*l - 3*l**2 - k*l - 867.
-3*(l + 16)**2
Let t = 88 - 81. Solve 2*c - 7*c - 4*c**3 - t*c + 10*c**4 + 18*c**3 - 2*c**5 - 10*c**2 = 0 for c.
-1, 0, 1, 6
Let d = 39250 - 39247. Factor -2/17*s**4 + 0*s**d + 18/17*s**2 + 0 + 0*s.
-2*s**2*(s - 3)*(s + 3)/17
Suppose 517 = b - 5*i - 186, 0 = -2*b - i + 1373. Let y = b - 684. Solve -11/4*v**y + 11/4*v**2 + 0 - 7/4*v**3 - 1/2*v + 9/4*v**5 = 0.
-1, 0, 2/9, 1
Determine t, given that 3/5*t**2 + 30*t - 153/5 = 0.
-51, 1
Factor 2*l**2 + 3*l**2 + 0*l**2 - 260*l + 0*l**2 + 0*l**2 + 255.
5*(l - 51)*(l - 1)
Let -1290 - 205*k + 29*k + 2*k**2 - 312*k + 64*k = 0. Calculate k.
-3, 215
Let x(u) = -7*u**2 + 97*u - 6. Let m be x(14). Let l be (2 - 69/27)*6/m. Factor -1/2*v**2 + l*v + 0 - 1/6*v**3 + 1/2*v**4.
v*(v - 1)*(v + 1)*(3*v - 1)/6
Let f = -31340 - -31343. Let c(x) be the third derivative of -1/40*x**5 + 0*x + 0*x**f - 1/16*x**4 - x**2 + 0. What is o in c(o) = 0?
-1, 0
Let o(i) be the second derivative of -i - 1/15*i**6 + 0*i**2 - 3/20*i**5 + 0*i**4 + 2 + 1/42*i**7 + 0*i**3. Find k, given that o(k) = 0.
-1, 0, 3
Let c = 20 - -8. Suppose 5*d = 12*d - c. Factor -48*v**d - 2*v**4 - 13*v**3 - 27*v**3 - v**2 - 7*v**2.
-2*v**2*(5*v + 2)**2
Let t(u) be the second derivative of 1/30*u**3 - 1/75*u**6 + 0*u**5 + 0*u**2 - 62 + 1/30*u**4 - 1/210*u**7 - 3*u. Factor t(j).
-j*(j - 1)*(j + 1)**3/5
Suppose -184 - 6*u**4 + 2104 + 291*u**2 - 30*u**3 + 3248*u - 40*u**3 - 165*u**2 + 382*u**2 = 0. What is u?
-15, -4, -2/3, 8
Let v be (1 + (-32)/40)*(-317)/(-307). Let o = -2/307 + v. Factor -3/5 + z - 1/5*z**2 - o*z**3.
-(z - 1)**2*(z + 3)/5
Let z(n) = 2*n**2 - n + 36. Let i be z(5). Let g be ((-2)/(-3))/(27/i). Factor -10/7*m**g + 4/7*m + 3/7*m**3 + 8/7.
(m - 2)**2*(3*m + 2)/7
Let d(c) be the first derivative of c**4/12 + 3*c**3 - 19*c**2/2 + 29*c/3 - 3129. Determine u so that d(u) = 0.
-29, 1
Let j(l) be the first derivative of l**6/6 + 7*l**5 + 63*l**4/4 - 33*l**3 - 881. Factor j(x).
x**2*(x - 1)*(x + 3)*(x + 33)
Let i(l) = l**2 - 21*l + 27. Suppose 0*g - 5*g + 5 = -2*n, -3*g = 2*n - 19. Let f(u) = 2 + 5*u - g - 6*u. Let m(t) = 18*f(t) - 2*i(t). Factor m(c).
-2*(c - 6)**2
Let h(o) = -6*o**5 - 28*o**4 - 72*o**3 + 100*o**2 + 306*o + 152. Let c(d) = d**5 - d**4 - 2*d + 1. Let p(s) = 4*c(s) + h(s). Solve p(y) = 0.
-13, -3, -1, 2
Let i be (-120)/35 - -3 - -1. Suppose -15 = -4*q + 3*r, 2*r + 5 = -5. Factor q*n - i*n**2 + 0 + 2/7*n**3.
2*n**2*(n - 2)/7
Let k(x) = 30*x + 222. Let r be k(-7). Suppose n = 4*a - 1, -3*a - 17 = 5*n - r. Factor 9/2*s + 3/4*s**2 + a.
3*s*(s + 6)/4
Suppose -3*h + 5*y + 815 = 0, 4*h + 3*y - 575 = 2*h. Let -295*b**3 - 28*b**2 + h*b**3 + 5*b**5 + 5*b**4 + 23*b**2 + 10*b = 0. Calculate b.
-2, -1, 0, 1
Factor -6*s**2 + 990*s + 17*s**2 - 14*s**2 + 6*s**2.
3*s*(s + 330)
Let g(o) be the third derivative of -11*o**5/30 - o**4 - 5*o**3/2 + 69*o**2 + 2. Let r(d) = d**2 + 1. Let s(j) = -2*g(j) - 22*r(j). Factor s(w).
2*(w + 2)*(11*w + 2)
Let x be 2 + 885/35 - 25. Let -x + 16/7*v**2 - v**3 + 52/7*v = 0. Calculate v.
-2, 2/7, 4
Suppose -10*h = -5148 + 1678. Factor 618*u**2 + 35*u**4 - 340*u + 57*u**3 - 83*u**2 - h*u**3 + 60.
5*(u - 6)*(u - 1)**2*(7*u - 2)
Let x be -1*(((-585