**3 + 146*l**2 + 102*l - 127. Let i(t) = 10*t**3 + 48*t**2 + 32*t - 42. Let a(k) = -19*i(k) + 6*p(k). Factor a(n).
-4*(n - 1)*(n + 1)*(n + 9)
Let j(v) be the third derivative of v**6/40 - 101*v**5/20 - 51*v**4/4 + 1403*v**2 + v. Determine t so that j(t) = 0.
-1, 0, 102
Find o such that 0 + 3/5*o**5 + 102/5*o**2 + 216/5*o - 219/5*o**3 - 102/5*o**4 = 0.
-2, -1, 0, 1, 36
Let r = 114 + -110. Determine l so that 100*l**2 - r*l**3 + 0*l**3 - 882*l + 576 + 210*l = 0.
1, 12
Let d be (-9)/(-42)*8/6. Let w = -130937/42 - -18707/6. Factor -4/7*i**2 - d*i**3 + 0 - w*i.
-2*i*(i + 1)**2/7
Let i(h) be the third derivative of -h**6/840 + 47*h**5/60 - 27547*h**4/168 + 26569*h**3/14 + 3029*h**2. Solve i(c) = 0.
3, 163
Let w be (-1)/1 + (-263)/(-7). Let j = -252203 - -252205. Find o, given that -48/7*o**3 + 4/7*o**4 + 0 - w*o + 192/7*o**j = 0.
0, 4
Let 29841*v**3 + 196*v**2 + 856*v - 1056 - 14921*v**3 - 14916*v**3 = 0. Calculate v.
-44, -6, 1
Suppose 2 = -32*f + 66. Factor -44*x**2 + 256 - 4*x + 26*x + 20*x + 22*x + 48*x**f.
4*(x + 8)**2
Let k be 50/125*(-3)/((-3)/200). Let m = k - 77. Solve -85*z**m - 8*z**2 + 61*z**3 - 68*z**3 = 0 for z.
-2/23, 0
Determine l so that 5329/4 - 577/8*l**3 - 5073/2*l**2 + 37595/8*l - 1/2*l**4 = 0.
-73, -1/4, 2
Let k = -109 + 227/2. Suppose -4*n - i = -11, -5*n + 0 = -5*i - 20. Solve -1 + 11/2*w - 6*w**2 - k*w**n = 0 for w.
-2, 1/3
Let j(h) be the second derivative of -h**6/30 + 11*h**5/20 + 31*h**4/4 + 149*h**3/6 + 34*h**2 + 1912*h. Determine m so that j(m) = 0.
-4, -1, 17
Let k = 15 - 20. Let r be 2/k*-10 - -2. Let m(n) = -9*n**2 + n - 5. Let f(x) = -8*x**2 + 2*x - 6. Let s(b) = r*m(b) - 5*f(b). Factor s(y).
-2*y*(7*y + 2)
Suppose 5*d - d = -4*l + 48, -d = 3*l - 20. Factor -38*g**2 - 2304 + 26*g**2 + d*g**2 + 192*g.
-4*(g - 24)**2
Let d be (6/(-10))/((-31)/775). Let n be (-70)/d*3/(-7). Find k, given that 0*k**n + 2/5*k - 2/5*k**3 + 0 = 0.
-1, 0, 1
Let g(m) be the first derivative of m**4/16 - 23*m**3/8 + 33*m**2/4 + 103*m + 48. Let l(s) be the first derivative of g(s). Factor l(c).
3*(c - 22)*(c - 1)/4
Suppose 10*l + 24 = 2*l. Let f be l + -1 + (10 - 2). Factor -53*u**3 - 2*u**2 + f*u**2 + 52*u**3.
-u**2*(u - 2)
Let r(w) be the second derivative of w**8/6720 - w**6/720 + w**4/6 + 61*w**3/6 - 15*w + 2. Let k(q) be the third derivative of r(q). Solve k(m) = 0.
-1, 0, 1
Let d(g) be the second derivative of g**4/12 + g**2/2 - 18*g. Let x(y) = -y**2 - 20*y - 29. Let b(q) = -5*d(q) - x(q). Factor b(t).
-4*(t - 6)*(t + 1)
Let i(k) be the third derivative of k**5/150 + 13*k**4/5 + 153*k**3/5 - 1422*k**2. What is w in i(w) = 0?
-153, -3
Let i(v) = 5*v**2 - 355*v + 1960. Let t(x) = -3*x**2 + 233*x - 1307. Let h(n) = 7*i(n) + 10*t(n). Let h(u) = 0. Calculate u.
5, 26
Determine w, given that 0*w**5 + 4*w**5 - 18*w - 2*w**5 + 12*w**4 - 1408*w**3 - 4*w**2 - 8 + 1424*w**3 = 0.
-4, -1, 1
Let r(t) = 2*t**3 + 14*t**2 - 22*t - 151. Let z = 811 + -818. Let x be r(z). Find d such that -2/5*d**2 - 2/5*d**x + 0 - 2/15*d - 2/15*d**4 = 0.
-1, 0
Suppose 0 = -3*h + 4*t + 16, -t + 12 = 3*h + 1. Suppose h*q + 22 = 30. What is b in 9*b**q - 2*b**3 - b**3 - b + 0*b - 5*b**3 = 0?
0, 1/8, 1
Let j(z) be the third derivative of -1/170*z**6 + 11/510*z**5 + 0*z - 1/1785*z**7 - 53*z**2 - 100/51*z**3 + 0 + 5/17*z**4. Suppose j(t) = 0. Calculate t.
-5, 2
Let x(n) be the first derivative of -11 - 20/3*n + 1/9*n**3 - 19/6*n**2. Factor x(y).
(y - 20)*(y + 1)/3
Let n(r) = 2*r**2 - 157*r - 5693. Let c be n(-27). Suppose 0*v - 4/7*v**3 + 0 + 2/7*v**2 + 2/7*v**c = 0. What is v?
0, 1
Let v = 1193521/11 - 108443. Let s be (30 + -7)/((-11)/(-16)). Suppose -50/11*p**5 - v*p**3 + s*p**2 + 340/11*p**4 + 0 - 64/11*p = 0. What is p?
0, 2/5, 2, 4
Let f(k) be the third derivative of 0*k + 1/120*k**6 + 222*k**2 + 0 - k**3 - 5/24*k**4 + 1/30*k**5. Solve f(b) = 0 for b.
-3, -1, 2
Let q be 5 - ((585/(-75))/1 + 12). Factor -q*w**4 + 3/5*w**3 - 1/10*w + 0 + 3/10*w**5 + 0*w**2.
w*(w - 1)**3*(3*w + 1)/10
Let u be 144/(-504) + (2 - 1005/231 - -3). Suppose -u*w**3 - 2/11*w**5 - 6/11*w**4 + 6/11*w + 4/11*w**2 + 2/11 = 0. Calculate w.
-1, 1
Let u(l) be the first derivative of l**7/14 + 2*l**6/5 - 7*l**4/2 - 17*l**3/2 - 9*l**2 + 36*l + 127. Let a(g) be the first derivative of u(g). Factor a(r).
3*(r - 2)*(r + 1)**3*(r + 3)
Let l = -235 + 259. Let y be 8 + 29/((-116)/l). Factor 9 + 33*t + 21/4*t**y.
3*(t + 6)*(7*t + 2)/4
Let v(a) be the second derivative of -a**4/72 + a**3/6 + 10*a**2/3 + 6748*a. Factor v(d).
-(d - 10)*(d + 4)/6
Factor -3/2*h**3 - 1/4*h**4 + 12*h**2 + 40*h - 192.
-(h - 4)**2*(h + 6)*(h + 8)/4
Let v = 36 + -123. Let q be (-3)/2*232/v. Determine u, given that -2*u - 11*u**2 - q*u + 13*u**2 = 0.
0, 3
Let 712/9*a + 126736/9 + 1/9*a**2 = 0. What is a?
-356
Let p be ((1062/(-22))/(-3))/15 + (-12)/44. Determine y, given that 8/5*y**2 + 4/5*y**3 - 2/5*y**5 - 2/5*y - p*y**4 - 4/5 = 0.
-2, -1, 1
What is n in -3*n**2 + 4/5*n**3 - 23/5 - 42/5*n = 0?
-1, 23/4
Let v(u) = -5*u**2 - 561*u - 566. Let b(q) = -2*q**2 + 4*q + 1. Let s(h) = 2*b(h) - v(h). Factor s(p).
(p + 1)*(p + 568)
Let u(j) = 11*j**3 + 1348*j**2 + 726*j - 724. Let w be u(-122). Determine l, given that w - 22/5*l + 1/5*l**2 = 0.
2, 20
Let l(o) = 444*o**2 - 3*o + 2. Let m be l(-1). Let b = m + -447. Solve -11/3*q + 121/6 + 1/6*q**b = 0 for q.
11
Let o = 11302 + -11290. Let q(j) be the second derivative of o*j - 1/10*j**6 + 3*j**2 + 0 - 1/4*j**4 - 3/2*j**3 + 9/20*j**5. Factor q(v).
-3*(v - 2)*(v - 1)**2*(v + 1)
Let g = -42502 + 340025/8. Factor -g*r**2 - 3/8 - 9/8*r - 3/8*r**3.
-3*(r + 1)**3/8
Let j(f) be the third derivative of -f**5/120 + 71*f**4/24 + 1466*f**2. Determine b, given that j(b) = 0.
0, 142
Let m(k) = 7*k**3 + 81*k**2 + 110*k - 28. Let x(b) = 4*b**2 + b - 3*b**3 - 3*b**2 + 12*b**3 - 10*b**3. Let j(w) = m(w) - 2*x(w). Factor j(q).
(q + 2)*(q + 7)*(9*q - 2)
Suppose -71*g = 12093 - 12235. Let u(n) be the second derivative of -21*n + 5/66*n**4 + 8/11*n**g - 13/33*n**3 + 0. Determine t, given that u(t) = 0.
1, 8/5
Let k(m) be the third derivative of 0*m + 1/20*m**5 + 0 + 289/2*m**3 - 17/4*m**4 + 7*m**2. Factor k(s).
3*(s - 17)**2
Let h(t) be the third derivative of -t**9/161280 + t**8/8960 - t**7/1680 - 83*t**5/60 + t**2 + 58. Let a(u) be the third derivative of h(u). Factor a(v).
-3*v*(v - 4)*(v - 2)/8
Let s(k) be the third derivative of -k**5/240 - 293*k**4/24 - 85849*k**3/6 - 3*k**2 + 978*k. Determine v, given that s(v) = 0.
-586
Factor -3/5*k**3 + 342/5*k**2 + 2916/5 - 1971/5*k.
-3*(k - 108)*(k - 3)**2/5
Let g = 111/230 - 13/46. Let r(s) be the second derivative of 7/10*s**5 + 0 + 3/2*s**3 + 8*s + s**2 + 4/3*s**4 + g*s**6 + 1/42*s**7. Factor r(o).
(o + 1)**4*(o + 2)
Let a(r) be the third derivative of r**5/300 + 203*r**4/60 - 136*r**3/5 - 3*r**2 - 201*r. Factor a(c).
(c - 2)*(c + 408)/5
Let s(v) be the third derivative of -v**5/30 + 2*v**3 + 51*v**2. Let n(u) = -u - 2. Let q(k) = 12*n(k) + 2*s(k). Solve q(i) = 0.
-3, 0
Let b(c) be the first derivative of 4*c**3/9 - 1714*c**2/3 - 4066. Suppose b(n) = 0. Calculate n.
0, 857
Let d be 5*((-1127)/(-21))/(-23)*(-18)/75. Let -16 - d*t**3 + 284/5*t - 2*t**2 = 0. What is t?
-5, 2/7, 4
Solve -11/3*l**2 + 1/3*l**3 + 19/3*l - 3 = 0.
1, 9
Let s(c) be the first derivative of 2*c**3/33 - 137*c**2/11 - 840*c/11 + 5955. Factor s(r).
2*(r - 140)*(r + 3)/11
Suppose 0 = 2*s - 4*u - 42, 0 = -5*u - 50 + 45. Suppose 0 = 21*m - 19 + s. Factor m + 2/15*f**2 - 2/3*f.
2*f*(f - 5)/15
Let r be (-142)/(-12)*3*16/8. Suppose 9 = 8*y - r. Factor 6*b**2 - y*b - 2*b**3 - 8 + 10*b.
-2*(b - 2)**2*(b + 1)
Let g be ((-13320)/(-135))/(187/6). Let i = 60/17 - g. Let 2/11*f**4 + 2/11 + 2/11*f**5 - 4/11*f**3 + 2/11*f - i*f**2 = 0. Calculate f.
-1, 1
Factor 31 + 434*g**4 + 35*g + 65 + 0*g**5 - 396*g**4 + g**5 + 288*g + 204*g**3 + 394*g**2.
(g + 1)**3*(g + 3)*(g + 32)
Let v = 430 - 427. Suppose 22 = 3*c - 5*z, 0 = -v*c + z - 3*z + 8. Determine a, given that 0*a + 0 - 2/7*a**c + 4/7*a**3 + 0*a**2 = 0.
0, 2
Let n(d) be the second derivative of 0*d**3 + 11/10*d**5 + 0 - 3*d**4 + 0*d**2 + 199*d - 1/15*d**6. Solve n(f) = 0 for f.
0, 2, 9
Let v(x) be the first derivative of x**3/15 - 247*x**2/10 + 540. Factor v(z).
z*(z - 247)/5
Solve 75/4*m + 1/4*m**2 - 77/2 = 0 for m.
-77, 2
Let p(h) be the first derivative of -21*