actor 165/8*l + 3/8*l**3 + 225/8 + m*l**2.
3*(l + 3)*(l + 5)**2/8
Let s(g) be the first derivative of -g**4 + 56*g**3 - 450*g**2 + 1296*g + 3042. Determine j, given that s(j) = 0.
3, 36
Factor -90*c**2 + 17*c**3 - 7*c**3 + 25*c**3 + 1477*c - 1437*c.
5*c*(c - 2)*(7*c - 4)
Let z(n) be the first derivative of -n**3 - 201*n**2/2 + 852*n + 3889. Factor z(x).
-3*(x - 4)*(x + 71)
Let d be ((-6)/(540/25))/(380/57*2/(-8)). Solve -5/2*x - d*x**2 - 7/3 = 0 for x.
-14, -1
Let h(a) be the first derivative of -a**2 + 34*a + 14. Let d be h(16). Factor -d*i**4 + i**5 - i**2 - i**3 + 7*i**4 - 4*i**4.
i**2*(i - 1)*(i + 1)**2
Suppose -146*y + 456 + 586 = 750. Factor -1/3*s**3 + 2/3*s**y - 1/3*s + 0.
-s*(s - 1)**2/3
Let z(k) be the third derivative of 1 + 0*k**5 + 0*k**4 + 0*k**3 + 1/210*k**7 + 1/120*k**6 - 39*k**2 + 1/1344*k**8 + 0*k. Suppose z(s) = 0. Calculate s.
-2, 0
Let y(n) = -5*n + 136. Let d be y(14). Suppose 0 = d*p - 57*p - 270. Let 16/3*g**3 - 1/3*g**4 + 200/3*g - p*g**2 - 125/3 = 0. Calculate g.
1, 5
Let v(p) be the third derivative of 0 + 0*p + 95*p**2 - 1715/3*p**3 - 3185/24*p**4 - 1/42*p**7 - 23/24*p**6 - 63/4*p**5. Find a, given that v(a) = 0.
-7, -2
Let n(h) be the first derivative of -1089*h**4 - 2332*h**3 - 1520*h**2 - 400*h + 145. Solve n(q) = 0.
-1, -10/33
Suppose 1074971*a - 537685*a - 538100*a + a**2 + 0*a**2 = 0. What is a?
0, 814
Let i(h) = -24*h**4 - 4*h**3 + 2*h**2 - 18. Let p(t) = 23*t**4 + 5*t**3 - 3*t**2 + 15. Let x(k) = 5*i(k) + 6*p(k). Factor x(a).
2*a**2*(a + 1)*(9*a - 4)
Solve -1/7*z**2 - 8612/7*z - 18541636/7 = 0.
-4306
Solve 117/8*p**2 - 33/2*p - 21/2 + 147/8*p**4 + 9/8*p**5 + 303/8*p**3 = 0 for p.
-14, -1, 2/3
Let n(i) = 17*i**3 + 9*i**2 - 13*i - 13. Let c be n(4). Let r = -1165 + c. Factor 15/4*m**r + 3/8*m**3 + 12 + 12*m.
3*(m + 2)*(m + 4)**2/8
Let p = -89 - -92. Let r(j) be the third derivative of 0*j + 0 + 1/12*j**6 + 1/12*j**5 - 7*j**2 + 0*j**p + 0*j**4 + 1/42*j**7. Factor r(g).
5*g**2*(g + 1)**2
Let n(k) = -2*k**4 - 63*k**3 - 149*k**2 - 174*k - 62. Let t(l) = -l**4 + l**3 + l - 1. Let g(i) = -n(i) - 6*t(i). Solve g(d) = 0.
-17/8, -2, -1
Let q(p) be the first derivative of p**4/20 + 2*p**3/3 - 3*p**2/10 - 108*p/5 + 1836. Find y, given that q(y) = 0.
-9, -4, 3
Let v(s) be the third derivative of -s**6/120 + s**5/40 - 19*s**3/3 + 7*s**2 - 1. Let d(a) be the first derivative of v(a). Factor d(m).
-3*m*(m - 1)
Suppose -1 = -a, k - 4*a + 13 = -2*a. Let i(x) = 5*x**2. Let z(v) = v**2 - 23*v**2 - 4*v**2. Let f(d) = k*i(d) - 2*z(d). Let f(m) = 0. Calculate m.
0
Let t(r) be the second derivative of r**6/30 + r**5/4 - 13*r**4/4 - 3*r**3/2 + 81*r**2 + 37*r - 32. Suppose t(w) = 0. Calculate w.
-9, -2, 3
Let g be (-4)/1 + (-138)/(-23). Let y be 2 + g + (-4)/(-30) + -4. What is h in 2/15*h + 2/15*h**4 + 4/15 - y*h**3 - 2/5*h**2 = 0?
-1, 1, 2
Let x(p) be the third derivative of 1/2*p**5 - 5/24*p**6 - 20/3*p**3 + 1/42*p**7 + 0 + 4*p + 5/6*p**4 - 10*p**2. Determine h, given that x(h) = 0.
-1, 2
Let i be 310/(-25)*(-2008)/(-112). Let z = i + 1143/5. Find t, given that -46/7*t - 10/7*t**3 - z*t**2 - 12/7 = 0.
-3, -1, -2/5
Let x(o) be the first derivative of -25/4*o**4 - 45/2*o**2 - 30 + 10*o + 20*o**3. Solve x(g) = 0.
2/5, 1
Let x be 2185/874 + (-2)/(-4)*-1. Let j(a) be the second derivative of 3*a**2 + x*a + 1/8*a**4 + 0 + a**3. Factor j(w).
3*(w + 2)**2/2
Determine o, given that 1/3*o**4 - 7*o - 20/3 + 19/3*o**2 + 7*o**3 = 0.
-20, -1, 1
Let p(a) be the first derivative of -14*a - 24 - 16/3*a**3 + 1/30*a**6 + 8*a**2 - 2/5*a**5 + 2*a**4. Let m(v) be the first derivative of p(v). Factor m(h).
(h - 2)**4
Suppose 3*j = -t - 214, -4*t = j - 16 + 69. Let m = j + 75. Suppose -9*s**2 + 11*s - 13*s**2 + 16*s**m + 11*s - 12 = 0. Calculate s.
2/3, 3
Let p = 158093/3 - 52697. Suppose -64/3*r - p*r**2 - 512/3 = 0. Calculate r.
-16
Let o(w) = 37*w**3 + 3176*w**2 + 794*w - 404. Let a(m) = -75*m**3 - 6350*m**2 - 1585*m + 805. Let h(p) = -3*a(p) - 5*o(p). Factor h(g).
5*(g + 79)*(2*g + 1)*(4*g - 1)
Let l(c) be the third derivative of -1/36*c**6 + 0*c**3 + 0 + 5/1008*c**8 - 2*c**2 + 0*c**7 + 60*c + 5/72*c**4 + 0*c**5. Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let c(h) be the second derivative of h**4/48 + 5*h**3/4 + 18*h**2 + 4570*h. Let c(x) = 0. Calculate x.
-24, -6
Let d = -3527 + 3527. Let j(z) be the third derivative of -1/4*z**3 + 0*z + 0 + 1/40*z**5 - 6*z**2 + d*z**4. What is t in j(t) = 0?
-1, 1
Let w(q) = -7*q**3 - 63*q**2 + 135*q - 68. Let g(t) = 188*t**2 + 27 + 151 - 404*t + 20*t**3 - 31 + 57. Let r(d) = -3*g(d) - 8*w(d). Factor r(y).
-4*(y - 1)**2*(y + 17)
Suppose 5*h - 76 = 2*f, 28*h - 3*f - 48 = 26*h. Solve -3*y**3 + h - 15*y - 33/2*y**2 = 0 for y.
-4, -2, 1/2
Factor -36 + 16846*i**4 - 96*i + 9*i**3 - 8420*i**4 - 45*i**2 - 8420*i**4.
3*(i - 3)*(i + 2)**2*(2*i + 1)
Suppose 240927*w = 240884*w + 86. Solve 0 - 8/3*c - 10/3*c**3 - 7/3*c**4 + c**5 + 28/3*c**w = 0.
-2, 0, 1/3, 2
Let n(s) = s**2 - 44*s - 416. Let p be n(-8). Let u(o) be the third derivative of o**2 + p*o**4 - 1/150*o**5 + 0 - 1/600*o**6 + 0*o**3 + 0*o. Factor u(c).
-c**2*(c + 2)/5
Let o(q) be the second derivative of 1 - 1/8*q**3 - 9/4*q**2 + 1/80*q**5 - 15*q + 1/12*q**4. Factor o(r).
(r - 2)*(r + 3)**2/4
Let w(i) = -2*i**2 + 4*i + 4. Let p(g) = -9*g**2 + 16*g + 16. Suppose -9*q + 5*v - 18 = -6*q, 0 = -q - v - 6. Let j(h) = q*p(h) + 26*w(h). Factor j(c).
2*(c + 2)**2
Suppose -124/3 + 130/9*f - 2/9*f**2 = 0. Calculate f.
3, 62
Suppose -4*a - 21 = -3*k - a, 2*a = -5*k. Suppose 2 = 5*x - 3*h - 2, -x = -k*h + 2. Factor 64*d**3 - 8*d**x - 58*d**3 + 10*d - d**4 - 4*d**2 - 3.
-(d - 3)*(d - 1)**3
Let v = 38021 + -43914254/1155. Let u(r) be the third derivative of 0 - 43*r**2 + 1/165*r**6 - 1/11*r**4 - 1/165*r**5 + 0*r + v*r**7 + 3/11*r**3. Factor u(s).
2*(s - 1)**2*(s + 3)**2/11
Let v(k) be the second derivative of -19 - 3*k - 3/2*k**2 - 1/36*k**4 - 5/9*k**3. Let v(m) = 0. Calculate m.
-9, -1
Let r(m) = 100*m**2 - 275*m - 90. Let f(a) = 9*a**2 - 25*a - 8. Let b(s) = -s**2 - 20*s + 152. Let d be b(6). Let k(l) = d*r(l) + 45*f(l). Factor k(h).
5*h*(h - 5)
Let f(g) = 32*g**4 + 72*g**3 - 1300*g**2 + 1932*g + 3212. Let w(b) = -13*b**4 - 29*b**3 + 521*b**2 - 773*b - 1285. Let i(s) = 5*f(s) + 12*w(s). Factor i(p).
4*(p - 4)**2*(p + 1)*(p + 10)
Let w(i) be the second derivative of -1/140*i**5 + 66*i - 1/42*i**3 - 1/21*i**4 + 3/7*i**2 + 0. Factor w(u).
-(u - 1)*(u + 2)*(u + 3)/7
Let w = -78 - -79. Suppose p - w = 4. Suppose p*o**3 + 5*o**3 + 22*o**2 + 5*o**4 - 17*o**2 = 0. What is o?
-1, 0
Let y(p) be the third derivative of p**7/70 + 71*p**6/40 - 531*p**5/20 + 1161*p**4/8 - 351*p**3 + 1695*p**2. Factor y(l).
3*(l - 3)**2*(l - 1)*(l + 78)
Let v(s) be the first derivative of s**6/2 + 24*s**5/5 + 69*s**4/4 + 28*s**3 + 18*s**2 - 822. Factor v(x).
3*x*(x + 1)*(x + 2)**2*(x + 3)
Let t(j) be the second derivative of -7/12*j**3 + 45*j + 0 + 7/40*j**5 + 5/24*j**4 + 1/60*j**6 - 3/2*j**2. Factor t(l).
(l - 1)*(l + 1)**2*(l + 6)/2
Let y = 106 - 521/5. Let a be (12/27)/((-716)/(-3222)). Factor 0*h**3 + y - 3/5*h**4 + 24/5*h + 18/5*h**a.
-3*(h - 3)*(h + 1)**3/5
Let g(x) be the third derivative of -1/330*x**5 + 2 + 4/33*x**3 + 45*x**2 + 1/660*x**6 + 0*x - 1/33*x**4. What is w in g(w) = 0?
-2, 1, 2
Let p be (-476)/(-170)*(-100)/(-70). Let r(w) be the third derivative of -5/64*w**p + 0*w - 1/8*w**3 + 1/40*w**5 + 3/320*w**6 + 22*w**2 + 0. Factor r(s).
3*(s - 1)*(s + 2)*(3*s + 1)/8
Let v = -77575/33 + 2352. Let s = v - -83/66. Factor -k + 1/10*k**2 + s.
(k - 5)**2/10
Let h(a) = 6*a**2 - 177*a - 90. Let g(u) = -u**2 + 30. Let c(s) = -3*g(s) - h(s). Determine q, given that c(q) = 0.
0, 59
Suppose -k + 2*l + 21 = 0, -3*l - 42 = -13*k + 8*k. Factor 8/15 + 4/15*t**2 + 2/15*t**k - 14/15*t.
2*(t - 1)**2*(t + 4)/15
Let v(i) be the third derivative of 1/12*i**4 + 0*i + 14 - 3*i**2 - 1/210*i**7 + 1/168*i**8 - 1/30*i**6 - 1/6*i**3 + 1/30*i**5. Let v(k) = 0. What is k?
-1, 1/2, 1
Let p(u) be the third derivative of u**8/448 + 11*u**7/420 + u**6/30 + 5*u**4/24 + u**3/2 + 69*u**2. Let t(z) be the second derivative of p(z). Factor t(q).
3*q*(q + 4)*(5*q + 2)
Let j(d) be the third derivative of -29*d**2 + 1/168*d**6 + 0*d + 1/1470*d**7 + 2 + 0*d**4 + 0*d**3 - 1/30*d**5. Determine b, given that j(b) = 0.
-7, 0, 2
Let a(d) = 3*d**2