*r**3*(r + 1)*(7*r - 2)/21
What is b in -16 + 46*b**3 + 2/3*b**5 + 644/9*b**2 + 88/9*b**4 + 56/3*b = 0?
-6, -2, -1, 1/3
Determine k, given that -120*k**2 - 272*k - 67544*k**3 + 64 - 9*k**5 + 67764*k**3 - 14*k**4 - 9*k**5 = 0.
-4, -1, 2/9, 2
Let u(b) be the first derivative of 6*b**5/25 - 513*b**4/20 + 3612*b**3/5 + 5547*b**2/10 - 2658. Factor u(h).
3*h*(h - 43)**2*(2*h + 1)/5
Let z be 30/8 - (-5)/20. Suppose 19*i - 36 = i. Find d such that -4*d**3 + 8*d**i + z*d - 6 + 1 - 3 = 0.
-1, 1, 2
Let y be (-76)/(-190)*(93/(-18) + 6). Determine j, given that -1/3*j**2 - y*j + 2/3 = 0.
-2, 1
Suppose -71*q + 174 - 4 = -37*q. Let b(w) be the third derivative of -5/6*w**3 + 27*w**2 + 0*w**4 + 0 + 1/12*w**q + 0*w. Determine k so that b(k) = 0.
-1, 1
Let g(d) = -8*d**3 + 36*d**2 - 32*d + 8. Let i(b) = -17*b**3 + 74*b**2 - 60*b + 18. Let s(r) = 9*g(r) - 4*i(r). Factor s(u).
-4*u*(u - 4)*(u - 3)
Factor -44/7*w**2 + 6/7*w**3 + 102/7*w - 72/7.
2*(w - 3)**2*(3*w - 4)/7
Let t(o) be the first derivative of o**4/4 + 16*o**3/3 + 41*o**2/2 + 30*o - 290. Let p be t(-13). Let 0 + 0*x - 15/2*x**2 + 5/2*x**p + 5*x**3 = 0. Calculate x.
-3, 0, 1
Suppose -17 = -8*z + 23. Factor -8*i**2 + 2*i**5 + 5*i - 53*i**3 + 69*i**3 - z*i - 10*i**4.
2*i**2*(i - 2)**2*(i - 1)
Suppose 29*q - 68 = 77. Suppose 0 = 5*h - 15, -17 = 15*d - 16*d - q*h. Factor 0 - 12*b + 18*b**d - 27/4*b**3 + 3/4*b**4.
3*b*(b - 4)**2*(b - 1)/4
Let z = -391 - 25/3. Let s = z - -400. Factor -s - 4/3*g**3 + 4/3*g + 2/3*g**4 + 0*g**2.
2*(g - 1)**3*(g + 1)/3
Let s(v) = 12*v + 38. Let d be s(-3). Let f be d/(-32) + (-1442)/(-1568). Factor 4/7*i**2 - f + 2/7*i**4 - 8/7*i + 8/7*i**3.
2*(i - 1)*(i + 1)**2*(i + 3)/7
Let h(n) = -122*n**2 - 350*n - 12830. Let v(r) = 4*r**2 + r + 1. Let m(b) = -2*h(b) - 60*v(b). Factor m(s).
4*(s + 80)**2
Let z(u) be the first derivative of -u**5/240 - u**4/16 + 9*u**3/8 - 165*u**2/2 + 108. Let n(y) be the second derivative of z(y). Solve n(x) = 0.
-9, 3
Let m(c) = 3*c**2 - 4*c**2 - c - 2*c**2. Let f(p) = -4*p + 13*p**2 + 10*p - 2*p + p. Let o(i) = 4*f(i) + 18*m(i). Find n such that o(n) = 0.
0, 1
Let a be (-115557)/(-94816)*(-16)/(-9). Solve 7/3*x**2 - 1/2*x**3 - 1 - a*x = 0.
-1/3, 2, 3
Let n = -346 - -394. Find a, given that -49*a**3 + 252*a - 147 + n*a**3 + 81*a**2 + 7*a**3 = 0.
-7, 1/2
Let z be (-1 - -1) + (47 - -18). Let 12*g + 8 - 71*g**2 + 140*g**2 - z*g**2 = 0. Calculate g.
-2, -1
Let h(f) be the third derivative of 0*f - 2*f**2 + 0*f**3 + 1/240*f**5 - 5/32*f**4 + 2. Suppose h(p) = 0. What is p?
0, 15
Let u(f) be the first derivative of 96 + 0*f + 3/25*f**5 - 27/20*f**4 - 81/10*f**2 + 27/5*f**3. Solve u(s) = 0 for s.
0, 3
Let k be -138*6/(-9) - (5 - 1). Suppose -4*j - k = -5*q, 5*q - j - 90 = 4*j. Factor 4*d**2 + 0*d**4 - 2*d**4 + 7*d**4 + 2*d**4 + q*d**3.
d**2*(d + 2)*(7*d + 2)
Let r(m) be the first derivative of m**9/1512 - m**8/840 - m**7/84 - m**6/60 - 61*m**3/3 - m**2 - 56. Let w(q) be the third derivative of r(q). Factor w(a).
2*a**2*(a - 3)*(a + 1)**2
Let o(b) = 3*b**3 - 384*b**2 + 36863*b. Let p(l) = -2*l**3 + l. Let r(u) = o(u) + p(u). Factor r(n).
n*(n - 192)**2
Let 2450 - 3357168*n - 510*n**2 - 720*n**2 - 5*n**3 + 3355953*n = 0. What is n?
-245, -2, 1
Let u(n) be the first derivative of -n**6/600 - 2*n**3/3 + 21*n**2/2 + 51. Let j(f) be the third derivative of u(f). Solve j(s) = 0.
0
Let d(i) be the first derivative of 4/15*i**3 + 3 - 3/5*i**2 + 12*i - 1/30*i**4. Let q(g) be the first derivative of d(g). Solve q(m) = 0.
1, 3
Let w be 12/(-10)*10*2/(-3). Suppose 5*h - w = -l, -l + 2*h + 13 = 4*l. Let 7*b**4 + 2*b**2 - b**3 - 6*b**4 + b**4 - l*b**4 = 0. Calculate b.
-2, 0, 1
Suppose 3*m + k = -k + 38, 3*k - 42 = -3*m. Let u(s) = -11*s + 110. Let v be u(m). Factor 12/5*h + 3/5*h**2 + v.
3*h*(h + 4)/5
Let -3717184/3 - 1/3*p**2 + 3856/3*p = 0. Calculate p.
1928
Suppose 0 = -a - 2 + 7. Let l(u) = 4*u**2 - 24*u - 44. Let m(g) = -3*g**2 + 16*g + 29. Let p(h) = a*l(h) + 8*m(h). Determine q, given that p(q) = 0.
-1, 3
Let r(s) be the first derivative of s**4/5 - 164*s**3/5 + 244*s**2/5 + 60. Factor r(a).
4*a*(a - 122)*(a - 1)/5
Let n(c) = -2*c**2 + 2*c + 1. Let o be n(-1). Let h = 0 - o. Factor 0*l**3 + 5*l + 19*l**2 + 3*l**4 + 13*l**h + 2 + 6*l.
(l + 1)**2*(l + 2)*(3*l + 1)
Let k(g) be the first derivative of g**4 + 0*g + 0*g**2 + 16/3*g**3 - 41. Solve k(h) = 0.
-4, 0
Let c be (-1 - -1)*(-8)/16 + 224. Find p, given that -13249 + 36*p**2 - 348*p + 13733 + 56*p**2 - 4*p**3 - c*p = 0.
1, 11
Let s(q) be the first derivative of 2*q**3/3 + 2394*q**2 + 2865618*q - 3585. Suppose s(t) = 0. What is t?
-1197
Factor -2276/5 - 10246/5*v - 18/5*v**2.
-2*(v + 569)*(9*v + 2)/5
Let s = 73846 + -295363/4. Factor -27/4 - 3/4*t**3 - s*t**2 + 51/4*t.
-3*(t - 1)**2*(t + 9)/4
Let v = -19863 - -19866. Let b(g) be the first derivative of -31 - 2/9*g**v + 0*g**2 + 0*g**4 + 1/15*g**5 + 1/3*g. Factor b(f).
(f - 1)**2*(f + 1)**2/3
Solve -1274*a - 1666 + 938*a + a**3 - 2*a**3 - 32*a**2 + 514 = 0 for a.
-12, -8
Solve l**2 + 6 - 29/3*l - 1/3*l**4 + 3*l**3 = 0.
-2, 1, 9
Let u(b) be the first derivative of -1/15*b**3 + 8/5*b**2 - 64/5*b - 5. Suppose u(n) = 0. What is n?
8
Determine h so that 36*h**4 - 10/11*h**5 + 0 + 72/11*h**2 - 610/11*h**3 + 152/11*h = 0.
-2/5, 0, 1, 38
Let n(s) be the third derivative of 3*s - 8/5*s**3 + 2/525*s**7 - 1/75*s**5 + 3*s**2 - 2/3*s**4 + 3/50*s**6 - 1/420*s**8 + 0. What is f in n(f) = 0?
-2, -1, 2, 3
Let g(f) be the third derivative of -2*f**7/105 + 14*f**6/15 - 17*f**5/3 - 289*f**4 + f**2 - 834*f + 2. Factor g(p).
-4*p*(p - 17)**2*(p + 6)
Let u(l) be the third derivative of -l**6/72 + 10*l**4/3 - 47*l**3/3 - 65*l**2 + 1. Let i(f) be the first derivative of u(f). Factor i(x).
-5*(x - 4)*(x + 4)
Factor -91/5*p + 1/5*p**5 + 2/5*p**2 - 47/5*p**4 + 9 + 18*p**3.
(p - 45)*(p - 1)**3*(p + 1)/5
Let v(o) be the second derivative of -11*o**6/90 - 29*o**5/12 - 13*o**4/18 - 1604*o. Factor v(x).
-x**2*(x + 13)*(11*x + 2)/3
Let q(p) be the third derivative of -p**7/420 - p**6/80 + p**5/120 + p**4/16 + 683*p**2. Factor q(i).
-i*(i - 1)*(i + 1)*(i + 3)/2
Let v(h) be the first derivative of h**3/9 + 457*h**2 + 626547*h - 1518. Factor v(y).
(y + 1371)**2/3
Let p(w) = 37*w - 107. Suppose 8*j - 4*j - 10 = -2*v, 2 = -v + 5*j. Let s be p(v). Suppose -2/9*m**s - 2/9*m**3 + 10/9*m + 4/9 + 2/3*m**2 = 0. What is m?
-1, 2
Let t be 1910/210 + 2/(-21). Factor -6 - 6 + 5*l - 9 - t + 5*l**3 + 20*l**2.
5*(l - 1)*(l + 2)*(l + 3)
Let 15/2*z**4 - 87*z - 126*z**2 + 45/2 - 9*z**3 = 0. Calculate z.
-3, -1, 1/5, 5
Suppose -2*b - 4*o = -3*b + 225, 4*o = -20. Suppose -4*n = -b - 115. Let -n*j**2 + 3*j**3 - 4*j - 4*j**4 + 68*j**2 - 15*j**3 = 0. What is j?
-1, 0
Suppose -42*o - 78*o - 372 + 62*o**3 - 3*o**4 + 180 + 51*o**2 - 47*o**3 + 39*o**2 = 0. Calculate o.
-4, -1, 2, 8
Let y(j) = j**2 + 7*j + 9. Let p be y(-6). Suppose -4*n + 16 = 4*k, 0*n = p*n - 3*k + 12. Factor -45*o + 6 - 9*o**2 + 36*o**2 - 3*o**3 - 81 + n*o**3.
-3*(o - 5)**2*(o + 1)
Let l(v) be the first derivative of -22/15*v**3 - 63 + 6/25*v**5 + 12/5*v**2 - 1/15*v**6 + 1/10*v**4 - 8/5*v. Find q such that l(q) = 0.
-2, 1, 2
Suppose -166 + 246 = 40*x. Let v(g) be the second derivative of -5*g**3 + 5/12*g**4 - 16*g + 0 + 0*g**x. Let v(m) = 0. Calculate m.
0, 6
Let q be ((-3)/6)/(2/28). Let b be (-49)/q + -6 + 2. Let 0*x + 3/8*x**5 + 0*x**2 - 3/4*x**b + 0 + 3/8*x**4 = 0. Calculate x.
-2, 0, 1
Suppose 0 = -4*p + 20 + 8. Suppose -1 = 2*o + r, -o + r + p = -0*o. Suppose 2*k - k**2 + 3*k - o*k**2 - 2*k**2 = 0. Calculate k.
0, 1
Let g be (-3)/7 + (-2)/(-2). Let u(k) = -3*k**3 - 81*k**2 - 148*k - 1818. Let h be u(-26). Factor 4/7*i + g*i**h + 0.
4*i*(i + 1)/7
Suppose -6*w + 2*w + 121 = -5*h, -30 = -w + h. Factor 75*f + 35 - 75*f**3 - 74 + 10*f**2 + w.
-5*(f - 1)*(f + 1)*(15*f - 2)
Let g(c) be the third derivative of c**8/84 + 72*c**7/35 - 221*c**6/15 + 668*c**5/15 - 149*c**4/2 + 224*c**3/3 + 4022*c**2. Factor g(j).
4*(j - 1)**4*(j + 112)
Let i(y) = -3*y**2 - 51*y - 120. Suppose -20*o = 9*o - 145. Let j(z) = 2*z**2 + 52*z + 120. Let x(d) = o*j(d) + 4*i(d). Factor x(l).
-2*(l - 30)*(l + 2)
Let g(h) be the third derivative of h**7/1470 - h**6/40 + 19*h**5/210 - 1317*h**2. Factor g(w).
w**2*(w - 19)*(w - 2)/7
Let c be (-2)/(-10) - 1968/640. Let d = c - -3. Factor -1/4*t**3 -