4). Factor 3/2*r + 3/2 + j*r**2.
3*(r + 2)**2/8
Let v(c) = 3*c**3 + 831*c**2 - 830*c + 1116. Let x be v(-278). Suppose 0 + 4/5*r + 12/5*r**2 + 4/5*r**x + 12/5*r**3 = 0. What is r?
-1, 0
Let h(l) = -10*l - 29. Let x(i) = -11*i - 30. Let s(m) = 4*h(m) - 3*x(m). Let u be s(-6). Factor 25*z - 11*z**2 + 5*z**3 + 6 - u - z**2 - 8*z**2.
5*(z - 2)*(z - 1)**2
Let i be (7/2)/(105/60). Suppose -3*d = i - 11. Determine t, given that -64/13*t**2 + 114/13*t - 36/13 + 10/13*t**d = 0.
2/5, 3
What is o in -1/2*o**2 - 154449/2 - 393*o = 0?
-393
Let v be ((-567)/(-405))/((-3)/45) - -24. Solve 1/10*l**v + 0 - 4/5*l + 1/5*l**2 = 0 for l.
-4, 0, 2
Let o(l) be the first derivative of 16 - 8*l - 1/4*l**5 + 5/4*l**4 + 5/2*l**2 - 5/2*l**3. Let z(i) be the first derivative of o(i). Solve z(c) = 0 for c.
1
Let n(o) be the second derivative of o**7/210 - o**5/30 + o**3/6 - 9*o**2/2 + 7*o. Let q(k) be the first derivative of n(k). Find m such that q(m) = 0.
-1, 1
Determine b, given that -1/4*b**3 + 9 - 10*b + 13/4*b**2 = 0.
2, 9
Let h(v) be the third derivative of -v**6/540 - 2*v**5/27 - 53*v**4/108 - 34*v**3/27 + v**2 + 421. Factor h(a).
-2*(a + 1)*(a + 2)*(a + 17)/9
Suppose -5*c - 35 = -5*v, -2*v - 3*c - 16 = -5. Suppose -f = 6*p - 19, -254*p + 252*p + 23 = -3*f. Factor 0*u**p + 0*u + 4/7*u**v - 6/7*u**3 + 2/7*u**5 + 0.
2*u**2*(u - 1)**2*(u + 2)/7
Let f = -3 - -5. Let l be -7*(-2370)/490 + -20 - 13. Factor -2/7 + 2/7*n**f + l*n - 6/7*n**3.
-2*(n - 1)*(n + 1)*(3*n - 1)/7
Let d(h) be the second derivative of h + 37/24*h**4 - 70 - 24*h**3 - 64/3*h**2 - 7/240*h**5. Find v, given that d(v) = 0.
-2/7, 16
Let n(b) be the first derivative of -b**5/50 + 121*b**3/30 - 147*b**2/5 + 234*b/5 - 327. Let n(i) = 0. Calculate i.
-13, 1, 6
Let r(w) be the third derivative of -w**5/60 - 293*w**4/12 - 85849*w**3/6 - 106*w**2 + 2. Solve r(m) = 0.
-293
Let i(w) = -7*w**4 - 82*w**3 - 213*w**2 - 192*w - 46. Let c(u) = -8*u**4 - 83*u**3 - 213*u**2 - 192*u - 44. Let n(z) = -5*c(z) + 4*i(z). Factor n(x).
3*(x + 2)**2*(x + 3)*(4*x + 1)
Let a(h) be the second derivative of -h**5/30 + 677*h**4/18 + 226*h**3/3 - 39*h + 17. Find v, given that a(v) = 0.
-1, 0, 678
Let v(p) = -p**2 - 810*p - 3213. Let i be v(-4). Factor 121*h + 1331/3 + 1/3*h**3 + i*h**2.
(h + 11)**3/3
Factor 56/3 - 2/3*x**2 + 18*x.
-2*(x - 28)*(x + 1)/3
Factor -28/9*m**3 - 2/9*m**4 - 10*m**2 + 0 + 0*m.
-2*m**2*(m + 5)*(m + 9)/9
Let q(c) = 128*c**3 + 1 + 0 - 2 - c**2 - 127*c**3. Let m be q(2). Determine w, given that 44*w + 2 + 53*w - w**m + 0 - 94*w = 0.
-1, 2
Let -81/7*v + 0 - 2/7*v**4 + 162/7*v**2 + 1/7*v**5 - 80/7*v**3 = 0. Calculate v.
-9, 0, 1, 9
Let r be (2*4/8)/((4958/370)/67). Find z, given that 3/2*z**r - 3*z**4 + 6*z - 9/2*z**3 + 0 + 6*z**2 = 0.
-1, 0, 2
Let 0*i + 0 + 0*i**2 - 2/11*i**5 + 0*i**4 + 18/11*i**3 = 0. What is i?
-3, 0, 3
Let i(b) be the second derivative of -1/2*b**6 + 49/20*b**5 + 2*b - 1/4*b**4 - 3*b**2 - 25/6*b**3 - 44. Let i(m) = 0. Calculate m.
-2/5, -1/3, 1, 3
Let p(h) be the third derivative of -1/20*h**5 - 11*h**2 - 7/8*h**4 - 5*h**3 + 0*h + 0. Let p(y) = 0. What is y?
-5, -2
Factor -66 + 1/8*a**2 + 17/8*a.
(a - 16)*(a + 33)/8
Let y(o) be the third derivative of -o**6/24 - 2403*o**5/4 - 28872045*o**4/8 - 23126508045*o**3/2 - 2*o**2 + 2132. Factor y(g).
-5*(g + 2403)**3
Factor -926/19*y + 924/19 + 2/19*y**2.
2*(y - 462)*(y - 1)/19
Let d = 187440/7 + -26777. Factor d*o**2 - 1/7*o**5 + 1/7*o**3 - 1/7*o**4 + 0 + 0*o.
-o**2*(o - 1)*(o + 1)**2/7
Let -36/5*j**2 + 2/5*j**3 - 34*j - 132/5 = 0. Calculate j.
-3, -1, 22
Let v(x) be the first derivative of 31 + 0*x**3 - 1/24*x**4 - 48*x + 0*x**2. Let i(k) be the first derivative of v(k). Let i(u) = 0. What is u?
0
Let f(m) = m**4 + 2*m**3 - 2*m**2 - m - 1. Let s(i) = 4*i**4 + 77*i**3 - 1287*i**2 + 5172*i - 5771. Let a(q) = -5*f(q) + s(q). Factor a(j).
-(j - 31)**2*(j - 3)*(j - 2)
Find c such that -3343*c + 2079*c + 2736 + 2185*c + 3*c**2 = 0.
-304, -3
Suppose 0 = 9*t - 1384 + 466. Let -t*z**2 - 22*z + 49*z**2 - 30 - 7*z + 0*z + 54*z**2 = 0. Calculate z.
-1, 30
Let h(z) be the first derivative of 2/33*z**3 - 54 + 24/11*z + 8/11*z**2. Suppose h(v) = 0. What is v?
-6, -2
Suppose -5*l = -4*z + 65 + 33, z - 31 = -2*l. Let w = z - 23. Determine f, given that 0 - 8/19*f**3 - 8/19*f**2 + 0*f - 2/19*f**w = 0.
-2, 0
Factor -3*w**3 + 126*w - 463 - 404 + 17*w**2 - 5*w**2 + 219 + 9*w**2.
-3*(w - 9)*(w - 4)*(w + 6)
Let t(l) be the second derivative of 4*l**4/15 - 118*l**3/5 + 35*l**2 + 3*l + 295. Factor t(a).
2*(2*a - 1)*(4*a - 175)/5
Let v be (2/(-10))/(393/(-655)). Let l(h) be the second derivative of 0 - 11*h + v*h**3 - 1/24*h**4 - h**2. Factor l(k).
-(k - 2)**2/2
Let k(s) be the first derivative of -s**5/140 - s**4/21 + s**3/6 + 5*s**2/7 + 112*s - 128. Let v(j) be the first derivative of k(j). Factor v(m).
-(m - 2)*(m + 1)*(m + 5)/7
Let r be (150/80)/((-8)/(-32)). Let c(p) be the first derivative of 20/3*p**3 - 6 - 5/6*p**6 - p**5 + r*p**4 - 20*p**2 + 0*p. Let c(y) = 0. Calculate y.
-2, 0, 1, 2
Let c(g) be the second derivative of -1/48*g**4 - 1250*g**2 - 3 + 25/3*g**3 - 53*g. Let c(p) = 0. Calculate p.
100
Let g = -22/3061 + -6966726/15305. Let w = 460 + g. Factor 4/5*y**3 + 36/5*y + 0 - w*y**2.
4*y*(y - 3)**2/5
Let h(y) be the third derivative of 2*y**5/3 + y**4/6 - 6*y**3 + y**2 - 113*y. Factor h(t).
4*(t + 1)*(10*t - 9)
Let l be 7420/(-56)*20*(-13)/6175. Determine i so that 92/19*i**2 - 210/19*i**3 + l*i + 12/19 = 0.
-3/7, -2/15, 1
Factor -9/2*s**2 + 5 - 43/2*s.
-(s + 5)*(9*s - 2)/2
Let c(a) = 2*a**3 - 240*a**2 - 752*a - 456. Let u(k) = -k**2 - 8. Let j(i) = -c(i) - 6*u(i). Factor j(p).
-2*(p - 126)*(p + 1)*(p + 2)
Let a(f) be the first derivative of -f - 1/15*f**3 - 21/20*f**2 - 12. Suppose a(j) = 0. What is j?
-10, -1/2
Factor 0*w**2 + 0 + 0*w + 84/11*w**3 + 2/11*w**4 - 2/11*w**5.
-2*w**3*(w - 7)*(w + 6)/11
Let s = -215911/5 + 215919/5. Factor s*z**2 + 6/5*z**3 - 8/5*z + 0 - 2/5*z**5 - 4/5*z**4.
-2*z*(z - 1)**2*(z + 2)**2/5
Let z(l) be the third derivative of -l**8/672 + 2*l**7/35 + 469*l**6/240 + 37*l**5/10 + 3241*l**2. Determine r so that z(r) = 0.
-12, -1, 0, 37
Let w = 445/4344 + -11/181. Let i(d) be the second derivative of 1/3*d**3 + 0*d**2 + w*d**4 + 0 - 14*d. Factor i(f).
f*(f + 4)/2
Let w = 0 - 6. Let s(k) = -9*k**2 + 2*k + 11. Let l(j) = -5*j**2 + j + 6. Let c = 110 - 99. Let h(y) = c*l(y) + w*s(y). Factor h(p).
-p*(p + 1)
Let x(p) be the first derivative of -p**5/25 - p**4/5 + 29*p**3/15 - 12*p**2/5 - 309. Factor x(h).
-h*(h - 3)*(h - 1)*(h + 8)/5
Let j = 1357/36 - -29/36. Let u = -531/14 + j. Factor 0*c + 0 - u*c**2.
-4*c**2/7
Let w(u) = 7*u**4 + 5*u**3 - 3*u**2 + 3. Let v(f) = -f**4 - 13*f**4 - 5 + 5*f**2 + 95*f**3 - 104*f**3 - f**5. Let n(x) = 3*v(x) + 5*w(x). Factor n(l).
-l**3*(l + 2)*(3*l + 1)
Let j be -9*((-166)/30 + 21/105). Solve 5*v**4 - 141 - 9*v**3 - 18*v**2 - 109 - 4*v**4 - 44*v + j*v**2 + 274 = 0 for v.
2, 3
Suppose -3*s = -4*w - 10, s - 3*w + 0 = 10. Let q(n) = -5*n**3 - 33*n**2 + 30*n + 7. Let l(z) = z**3 + z**2 + 2*z - 1. Let g(y) = s*q(y) - 14*l(y). Factor g(v).
-4*v*(v - 11)*(v - 2)
Let m(a) be the second derivative of 3*a**5/20 + 58*a**4 + 13685*a**3/2 + 39675*a**2 + 631*a. Let m(g) = 0. Calculate g.
-115, -2
Let x(y) be the second derivative of -3 - 15/4*y**3 - 10*y - 1/8*y**4 - 21/2*y**2. Suppose x(n) = 0. What is n?
-14, -1
Suppose -54 = 3*p + 5*j, -26 = -p - 2574*j + 2576*j. Let 2/9*y**4 + 0*y + 0 - 10/3*y**3 + 28/9*y**p = 0. Calculate y.
0, 1, 14
Let l(x) be the third derivative of -1 + 1470*x**3 + 350*x**4 + 1/24*x**6 + 0*x + 189*x**2 - 83/12*x**5. Find t, given that l(t) = 0.
-1, 42
Let t(p) = -p**3 + 5*p**2 + 5*p + 6. Let j be t(6). Let c = -209/105 + 47/15. Factor -c*o - 2/7*o**2 + j.
-2*o*(o + 4)/7
Let s(p) be the second derivative of -p**4/54 + 1288*p**3/9 - 414736*p**2 + p + 5328. Factor s(z).
-2*(z - 1932)**2/9
Let n be (2457 - (-30 + 81)) + -6. Factor -80*m + n + 2/3*m**2.
2*(m - 60)**2/3
Let r = -1026 - -1031. Let q(g) = 2*g**3 + 7*g**2 + 21*g + 17. Let t(w) = -w**3 + w**2 - w - 1. Suppose -2*i + 6 = -4. Let b(u) = i*t(u) + r*q(u). Factor b(n).
5*(n + 2)**2*(n + 4)
Let -536/3 + 406/3*b + 734/3*b**2 + 1/2*b**4 - 413/6*b**3 = 0. Calculate b.
-1, 2/3, 4, 134
Let n(m) be the second derivative of 10404*m**5 + 34850*m**4 + 4085*m