 first derivative of -11*t**3/3 - 7*t**2 + t + 8. Let l(y) = -8*b(y) - 5*j(y). Solve l(g) = 0.
-3, 1
Let y be (-5952)/13860 - (51/(-21) - -2). Let s = 923/1155 - y. Factor 6/5*u - 2/5*u**5 + s*u**2 + 2/5 - 4/5*u**3 - 6/5*u**4.
-2*(u - 1)*(u + 1)**4/5
Let u(i) be the first derivative of -i**4/4 + 11*i**3/3 - 4*i**2 - 20*i + 9956. Factor u(n).
-(n - 10)*(n - 2)*(n + 1)
Let t(q) be the first derivative of -q**3 + 57*q**2/2 - 102*q - 380. Factor t(x).
-3*(x - 17)*(x - 2)
Let y(u) be the first derivative of 1/2*u**6 - 6/5*u**5 + 39 + 2*u**3 + 0*u**4 - 3/2*u**2 + 0*u. Factor y(d).
3*d*(d - 1)**3*(d + 1)
Let o = 3686440/7 - 526634. Factor -60/7*u + 450/7 + o*u**2.
2*(u - 15)**2/7
Let j = -302718 - -3935354/13. Determine a, given that -j*a**3 + 0 - 46/13*a**2 - 28/13*a - 2/13*a**4 = 0.
-7, -2, -1, 0
Let g(p) = -p**2 - 11*p + 5. Let l be g(-10). Factor -16*h - 2*h**2 + l - 2*h**2 + 5.
-4*(h - 1)*(h + 5)
Suppose -160*f**3 + 15*f**4 + 67*f**2 - 320*f - 23 - 21 - 21 - 497*f**2 = 0. Calculate f.
-1, -1/3, 13
Suppose 0 = 2*r + 22 - 26. Factor 118*o**2 + 46*o + 47*o**r - 9 + 35*o**3 - 31 + 44*o.
5*(o + 1)*(o + 4)*(7*o - 2)
Suppose c = 62*c - 15189. Suppose 0 = -16*i + c - 201. Factor -18/13 + 2/13*q**i + 6/13*q + 10/13*q**2.
2*(q - 1)*(q + 3)**2/13
Factor 70/11*c**3 + 0 - 2/11*c**5 + 32/11*c**4 + 0*c + 36/11*c**2.
-2*c**2*(c - 18)*(c + 1)**2/11
Let n be (-1)/((-3)/15) - (10 - (-16 + 23)). Let x(k) be the second derivative of -42*k + 0*k**4 + 0 + 1/190*k**5 + 0*k**n + 0*k**3. Factor x(s).
2*s**3/19
Let c(z) = 3*z**3 + 45*z**2 - 9*z - 39. Let k(x) = -13*x**3 - 181*x**2 + 40*x + 154. Let g(f) = 9*c(f) + 2*k(f). Solve g(m) = 0 for m.
-43, -1, 1
Find g, given that 2/13*g**4 - 102/13*g**3 - 6/13*g**2 + 302/13*g + 204/13 = 0.
-1, 2, 51
Solve 314/19*q + 2/19*q**4 + 46/19*q**3 + 136/19 + 222/19*q**2 = 0.
-17, -4, -1
Let z be ((-378)/80)/(45/6). Let x = z - -22/25. Determine b, given that 0 - x*b**4 + 1/4*b**2 - 1/2*b**3 + 1/2*b = 0.
-2, -1, 0, 1
Let u(g) = -g**4 - 132*g**3 + 504*g**2 + 1250*g + 700. Let l(c) = -c**3 - 15*c**2 + 3*c. Let h(t) = 5*l(t) + u(t). Find i such that h(i) = 0.
-140, -1, 5
Let k = 2181458/5 + -436276. Factor -153/5*r - k - 72/5*r**2 + 3/5*r**3.
3*(r - 26)*(r + 1)**2/5
Let r = -59 - -128. Let s = 72 - r. Let 6*j**4 + 3*j**4 - 12*j**s - 5*j**4 = 0. What is j?
0, 3
Let u be 6 - ((-162)/(-189))/((-6)/(-28)). Suppose -3*w - 2*w = -5*g + 15, 5*w - 57 = -4*g. Determine k so that 36*k**u + 8*k**3 + g*k**3 - 28*k**3 + k**4 = 0.
0, 6
Let i = -3/37271 - -18076456/260897. Let r = i - 69. Determine n, given that 2/7*n + 4/7*n**2 - 4/7 - r*n**3 = 0.
-1, 1, 2
Let t be (-5172)/(-30)*(-131)/((-4847)/444). Suppose -t*y**3 - 384/5*y + 14304/5*y**2 - 1536/5 - 42*y**5 + 2544/5*y**4 = 0. Calculate y.
-2/7, 2/5, 4
Let t(c) = c**3 + 4*c**2 - 7*c + 3. Let j be t(-5). Let w(g) = -g - 10. Let o be w(-14). Solve o + j*a**2 + 8*a - 4*a**2 - 6*a**2 = 0.
-2, -2/3
Let u(t) be the third derivative of t**5/30 + 1573*t**4/3 + 9897316*t**3/3 + t**2 - 3*t - 180. Solve u(w) = 0.
-3146
Let x = 140/13 + -827/78. Let z(t) be the second derivative of 0 - 16*t + 0*t**3 + 2/5*t**6 + 0*t**2 + x*t**7 - 1/6*t**4 + 3/20*t**5. Let z(y) = 0. What is y?
-1, 0, 2/7
Suppose -22794*f = -22864*f + 10290. Factor -21/2*w**2 + f*w - 686 + 1/4*w**3.
(w - 14)**3/4
Suppose -3*s - 15 = -0*s. Let v be (20/(-24))/s + (-5)/(-15). What is u in 1/2*u - 1 + v*u**2 = 0?
-2, 1
Factor 3519 - 2*r**2 + 2768*r + 7*r**2 + 2001 - r**2.
4*(r + 2)*(r + 690)
Let f(k) = -k**3 - 17*k**2 + 17*k - 4. Let l be f(-18). Suppose -l + 47 = 11*q. Solve 15*v - 31*v - 3*v**q + 11*v + 16*v**2 = 0 for v.
0, 1/3, 5
Let v be 6/(-108)*327/(-1090). Let n(q) be the second derivative of 29*q - v*q**5 - 1/12*q**2 + 0 + 0*q**3 + 1/24*q**4. Let n(f) = 0. What is f?
-1/2, 1
Suppose -6*o + 2 = -4. Suppose -5*u - 15 = 0, r - 3*r = u - o. Solve 105 - r*h**3 - 3*h + 4*h**3 + h**3 - 108 + 3*h**2 = 0.
-1, 1
Suppose 2*x = 3*x + 3*p - 10, 2*x - 4*p = 10. Let n be ((-36)/(-6) + 1)*24/x. Factor 35*t + 7*t - 24*t**2 - 12*t + 15 + n*t.
-3*(2*t - 5)*(4*t + 1)
Let z(s) be the third derivative of 0 + 1/90*s**6 + 7/18*s**4 + 0*s**3 - 34*s**2 + 0*s - 8/45*s**5. Factor z(q).
4*q*(q - 7)*(q - 1)/3
Let q(b) = 3*b - 30. Let h be q(12). Let z(t) = 2*t**2 - 7*t + 6. Let l be z(h). Factor 9*a**4 - 6*a**2 + 9*a + 69 - 6*a**3 - 3*a**5 - l - 36.
-3*(a - 1)**4*(a + 1)
Let x(h) be the second derivative of -h**6/180 + 73*h**5/120 - 7137*h. Solve x(z) = 0.
0, 73
Factor -2 - 24*i**2 - 51*i - 39 + 11 - 3*i**3.
-3*(i + 1)*(i + 2)*(i + 5)
Find r such that 129/8*r**2 - 45/8*r**3 + 1/8*r**4 - 127/8*r + 21/4 = 0.
1, 42
Let n(z) = -z**3 - z**2 - 5*z - 1. Let g(q) = 12*q**3 - 756*q**2 + 1629*q + 15. Let p(v) = g(v) + 15*n(v). Determine d, given that p(d) = 0.
-259, 0, 2
Let b(f) = -2*f**3 + 74*f**2 + 251*f + 200. Let m(v) = -v**3 + v**2 + 2*v - 1. Let o(l) = -b(l) - 2*m(l). Factor o(d).
(d - 22)*(2*d + 3)**2
Let p(c) be the first derivative of -4*c**3/3 + 1960*c**2 + 7856*c - 4415. Find q, given that p(q) = 0.
-2, 982
Determine j so that 0 - 1568/5*j + 4/5*j**4 - 504/5*j**2 - 12/5*j**3 = 0.
-7, -4, 0, 14
Let v(i) = -8*i**5 - 26*i**4 + 89*i**3 - 46*i**2 + 18*i + 9. Let o(w) = w**5 + w**4 - w**3 - 2*w**2 - 2*w - 1. Let t(f) = -36*o(f) - 4*v(f). Factor t(l).
-4*l**2*(l - 8)**2*(l - 1)
Let w = -115 - -118. Let h(s) be the first derivative of -20*s**2 + 41 + 5/3*s**w - 45*s. Factor h(v).
5*(v - 9)*(v + 1)
Let q(g) be the first derivative of -1/6*g**4 + 0*g**2 - 44*g + 28 + 1/3*g**3. Let o(j) be the first derivative of q(j). Factor o(d).
-2*d*(d - 1)
Let t be 63368/454968 - 6/213. Solve 5/3*r + 0 + t*r**2 = 0 for r.
-15, 0
Let f(d) be the first derivative of -d**5/50 - 943*d**4/40 - 9891*d**3 - 7813733*d**2/5 - 15479572*d/5 + 1501. Factor f(h).
-(h + 1)*(h + 314)**3/10
Let z(o) be the second derivative of -o**6/30 + o**5/10 + o**4/12 - o**3/3 + 3369*o. Factor z(c).
-c*(c - 2)*(c - 1)*(c + 1)
Let x(o) = -o**2 - 588*o - 34450. Let q be x(-66). Determine m so that 2 + 20/11*m - 2/11*m**q = 0.
-1, 11
Solve 14977*a**2 + 840 - 7487*a**2 - 7494*a**2 + 4*a = 0 for a.
-14, 15
Let 6*z**3 + 31488*z - 13824 - 2600/3*z**2 = 0. What is z?
4/9, 72
Let r be -7 - (-23)/(-138)*(-42)/1. Factor -5/3*m**4 + 0 - 7/3*m**3 - 1/3*m**5 - m**2 + r*m.
-m**2*(m + 1)**2*(m + 3)/3
Factor -24/5*a**2 + 18/5*a + 2/5*a**3 + 44/5.
2*(a - 11)*(a - 2)*(a + 1)/5
Suppose 0 = 2*p - 5*l - 18, 4*p + 145*l - 140*l = 6. Factor 0 - m**3 + m**2 - 1/4*m**p + 4*m.
-m*(m - 2)*(m + 2)*(m + 4)/4
Let c be 186/(6/3) + 7 + -10. Let v = 452/5 - c. Solve 0 - v*u**5 + 2/5*u**3 + 0*u**2 + 0*u**4 + 0*u = 0.
-1, 0, 1
Let u(k) be the first derivative of -k**6/12 - 29*k**5/10 - 75*k**4/4 - 143*k**3/3 - 233*k**2/4 - 69*k/2 - 1434. Factor u(z).
-(z + 1)**3*(z + 3)*(z + 23)/2
Let t(l) be the first derivative of -2*l**3/39 - 16*l**2/13 + 210*l/13 - 4822. Factor t(s).
-2*(s - 5)*(s + 21)/13
Let t(o) be the first derivative of -o**6/8 + 21*o**5/10 + 27*o**4/8 - 11*o**3 - 51*o**2/8 + 45*o/2 + 221. Solve t(p) = 0 for p.
-2, -1, 1, 15
Suppose -4*s + 106 - 10 = 0. Let q be (4/2)/(s - 19). What is f in 3/5*f + 1/5*f**2 + q = 0?
-2, -1
Suppose 15*v - b = 18*v - 75, b + 69 = 3*v. Let a(f) be the second derivative of -1/32*f**4 + 0*f**3 + 0 + 3/160*f**5 + v*f + 0*f**2. Factor a(j).
3*j**2*(j - 1)/8
Let x be (-11)/(330/144)*(475 - 493). Factor -72/5*l + x + 3/5*l**2.
3*(l - 12)**2/5
Find m, given that -116/5 - 2/5*m**2 + 118/5*m = 0.
1, 58
Let h = -89 + 93. Suppose -4*a = 5*w - 4, 8*w - h*w - 36 = 5*a. Find s such that 3*s + 20 - 4*s**2 + w*s - 23*s = 0.
-5, 1
Let b(m) = 26*m**4 - 416*m**3 - 7590*m**2 - 6491*m + 14409. Let n(g) = 5*g**4 - 83*g**3 - 1518*g**2 - 1298*g + 2882. Let i(h) = -6*b(h) + 31*n(h). Factor i(t).
-(t - 1)*(t + 2)*(t + 38)**2
Let x(z) be the second derivative of 3696822*z**5/5 - 10443*z**4 + 59*z**3 - z**2/6 - 1543*z. Determine p, given that x(p) = 0.
1/354
Suppose 2*z = 8 - 4. Suppose -z*t - 6 = -10. Solve -7*d**2 + 0*d + 9*d - d - 13*d**t - 12*d**3 = 0 for d.
-2, 0, 1/3
Let t(r) be the third derivative of -1/35*r**5 + 0 + 25*r**2 + 0*r + 3/14*r**4 + 13/3*r**3 + 1/630*r**6. Let o(h) be the first derivative of t(h). Factor o(j).
4*(j - 3)**2/7
Let q = -36 + 40. Let t(v) = -v**3 - 32*v**2 - 105*v - 517. Let n be t(-29). Factor 0*d + 2/17*d**n