 859.
(k + 4)*(7*k + 2)**3
Find j such that 320/3*j**2 - 290*j**3 + 0 + 72*j - 2*j**5 + 340/3*j**4 = 0.
-1/3, 0, 1, 2, 54
Suppose -2*a = 5*v - 486 + 418, 60*a + v - 252 = 0. Factor -2/3*b - a + 4*b**2 + 2/3*b**3.
2*(b - 1)*(b + 1)*(b + 6)/3
Let b(l) be the first derivative of -l**4 - 2320*l**3/3 + 1166*l**2 + 4648*l - 12502. Find h such that b(h) = 0.
-581, -1, 2
Let a(z) = 40*z**4 + 716*z**3 - 7920*z**2 - 8662*z. Let w(x) = 7*x**4 + 143*x**3 - 1584*x**2 - 1732*x. Let u(t) = -2*a(t) + 11*w(t). Factor u(d).
-3*d*(d - 24)**2*(d + 1)
Let w = 2423/2121 - -1/2121. Let x(s) be the first derivative of -4/7*s - w*s**3 + 9/7*s**2 + 5/14*s**4 + 11. Find a, given that x(a) = 0.
2/5, 1
Suppose 31 = 3*b + 19. Let f be ((-76)/(-171))/(b/18). Find i, given that -30*i**2 + f*i**5 + 12*i**2 - 4*i + 0*i**4 + 18*i**4 + 18*i**5 - 16*i**3 = 0.
-1, -1/2, -2/5, 0, 1
Suppose -1712*j - 25*j**4 + 42*j**4 + 86*j**4 + 338*j**4 - 1696 - j**4 + 1256*j**2 + 1708*j**3 + 4*j**5 = 0. Calculate j.
-106, -2, -1, 1
Let y(w) be the third derivative of -w**5/60 + 53*w**4/24 - 26*w**3/3 - 3*w**2 + 54. Factor y(r).
-(r - 52)*(r - 1)
Determine o so that -6*o**4 - 195 + 6*o**4 - 32*o**3 + 541*o**2 + o**4 - 424*o - 288*o**2 - 515*o**2 = 0.
-5, -1, 39
Let h be ((-18)/10)/((-477)/530). Factor 294/17 + 2*t**h - 2/17*t**3 - 182/17*t.
-2*(t - 7)**2*(t - 3)/17
Let m = 84375 + -928123/11. Factor m*p**2 - 4/11*p - 6/11.
2*(p - 3)*(p + 1)/11
Suppose -8/7*o**2 - 15/7*o - 1/7*o**3 + 0 = 0. What is o?
-5, -3, 0
Solve -51/7*i**4 - 1296/7 + 345/7*i**3 + 1944/7*i - 1161/7*i**2 + 3/7*i**5 = 0 for i.
3, 4
Suppose 4*b + 2*y + 143 - 531 = 0, -3*b + y = -296. Let p be (b/40)/((-1)/(-28)). Let 1/5*c**3 + 21/5*c**2 + p + 147/5*c = 0. What is c?
-7
Let h be 3686/776 + (-6)/3. Let -1/2*f**2 + 2 + 3*f - h*f**3 - 1/4*f**5 - 3/2*f**4 = 0. What is f?
-2, -1, 1
Suppose 291/4*b + 1/8*b**2 + 84681/8 = 0. What is b?
-291
Factor 2/13*p**2 + 275834 + 412*p.
2*(p + 1339)**2/13
Let n(w) be the second derivative of -w**6/6 + 5*w**5/4 + 2*w - 2049. Factor n(a).
-5*a**3*(a - 5)
Determine p, given that -378/5 + 423/5*p + 9/5*p**3 + 42*p**2 = 0.
-21, -3, 2/3
Let r(t) = 7*t**2 + 90*t + 207. Let b(u) = 8*u**2 + 86*u + 206. Let x(m) = 5*b(m) - 6*r(m). Determine w so that x(w) = 0.
-53, -2
What is j in 1130 + 649 - 179 + 59*j**3 + 6*j**2 + 158*j**2 - 55*j**3 + 1760*j = 0?
-20, -1
Factor -7 - 44 + 21*y - 34 + 5 - y**2 - 28.
-(y - 12)*(y - 9)
Let t(b) = -1040*b**2 - 4152*b + 36. Let g be t(-4). Factor -8/5*h + 8/5 + 4/5*h**3 - 6/5*h**2 + 2/5*h**g.
2*(h - 1)**2*(h + 2)**2/5
Factor 3*c**2 - 87 - 193 - 180*c - 94 - 132 + 134.
3*(c - 62)*(c + 2)
Let j(h) be the first derivative of -72*h**2 + 2/3*h**6 + 109 + 0*h + 36/5*h**5 + 4*h**3 + 23*h**4. Solve j(o) = 0.
-4, -3, 0, 1
Let o(c) be the third derivative of c**7/42 + c**6/4 + 2*c**5/3 - 80*c**2 + c. Factor o(s).
5*s**2*(s + 2)*(s + 4)
Let n(l) be the third derivative of 0*l**3 + 0*l + 25/24*l**4 - 1/2*l**5 + l**2 + 1/24*l**6 + 70. Factor n(z).
5*z*(z - 5)*(z - 1)
Let z = 6481/2 + -3238. Let h(b) be the first derivative of 0*b**2 - 3/2*b**4 + z*b**3 - 21 + 0*b - 3/10*b**5. Solve h(g) = 0.
-5, 0, 1
Let n(p) be the first derivative of 0*p - 44 + 2/3*p**3 + 3/8*p**4 + 1/4*p**2. Factor n(f).
f*(f + 1)*(3*f + 1)/2
Let b(v) be the second derivative of -v**4/18 + 67*v**3/3 + 406*v**2/3 + v - 293. Factor b(j).
-2*(j - 203)*(j + 2)/3
Solve -152/5*n**2 + 258/5*n**3 - 14*n**4 + 24/5*n + 0 = 0.
0, 2/7, 2/5, 3
Let x(m) be the second derivative of -m**5/20 - 37*m**4/2 - 2090*m**3 - 12100*m**2 - 333*m + 2. Find q, given that x(q) = 0.
-110, -2
Let d(j) be the first derivative of -j**4/10 + 12*j**3/5 - 59*j**2/5 - 156*j/5 + 1539. Solve d(m) = 0.
-1, 6, 13
Let q(y) be the first derivative of 32*y**2 + 1/5*y**5 + 24 + 3*y**4 + 18*y + 16*y**3. Let s(z) be the first derivative of q(z). Factor s(l).
4*(l + 1)*(l + 4)**2
Let q(x) be the second derivative of x**5/10 + 73*x**4/6 + 1691*x**3/3 + 12635*x**2 + 324*x + 7. Determine p, given that q(p) = 0.
-35, -19
Let u(l) be the third derivative of -l**5/210 - 179*l**4/84 + 362*l**3/21 + 79*l**2 - 3. Let u(z) = 0. What is z?
-181, 2
Let j(z) be the second derivative of z**7/126 + 13*z**6/15 + 162*z**5/5 + 729*z**4/2 - 6561*z**3/2 - 1946*z. Factor j(l).
l*(l - 3)*(l + 27)**3/3
Let j = 76139 - 532967/7. Suppose -26/7*d**3 + 22/7*d**2 + 0 + 10/7*d**4 - j*d = 0. Calculate d.
0, 3/5, 1
Let x = -2729/4655 - 24/245. Let l = x + 181/209. Factor l*t - 2/11*t**3 + 0 + 0*t**2.
-2*t*(t - 1)*(t + 1)/11
Suppose 4*a - 11 = 5. Suppose 1 = a*t - 11. Let -31*y - 10*y**2 + 8*y**t + 14*y + 19*y = 0. Calculate y.
0, 1/4, 1
Let x = -954 + 1375. Let p = x + -416. Solve 0*d + 0*d**3 - 3/4*d**4 + 0 + 0*d**2 - 3/4*d**p = 0 for d.
-1, 0
Let h(b) be the third derivative of -1/15*b**5 - 11*b**2 + 0*b - 1/15*b**6 + 2/105*b**7 - 1 + 1/168*b**8 + 0*b**3 + 1/4*b**4. Factor h(s).
2*s*(s - 1)**2*(s + 1)*(s + 3)
Determine y, given that 0 + 44*y**2 - 128/3*y = 0.
0, 32/33
Factor 29/2*k**3 - 10*k - k**4 - 1/2*k**5 + 28 - 23*k**2.
-(k - 2)**3*(k + 1)*(k + 7)/2
Let o(b) be the second derivative of b**5/330 - b**4/11 + 12*b**3/11 - 63*b**2/2 - 2*b + 23. Let k(w) be the first derivative of o(w). Factor k(g).
2*(g - 6)**2/11
Suppose -41*t + 10 + 39 = -33. Let c(b) be the first derivative of -1/18*b**4 - 2/27*b**3 + 2/9*b + 1/9*b**t - 16. Factor c(l).
-2*(l - 1)*(l + 1)**2/9
Solve -368/3 - 1684/3*f**2 - 4/3*f**5 - 432*f - 68*f**4 - 956/3*f**3 = 0 for f.
-46, -2, -1
Suppose 5*v - 268 - 12 = 0. Factor 40*x + 8 - 4*x**2 - v - 2*x**3 + 2*x**2 - 2*x**2.
-2*(x - 2)**2*(x + 6)
Let t(s) be the second derivative of 25*s**7/21 - 22*s**6/3 + 141*s**5/10 - 22*s**4/3 + 4*s**3/3 + 1009*s + 2. Suppose t(u) = 0. Calculate u.
0, 1/5, 2
Let h(r) = -22*r**3 - 1944*r**2 - 20374*r - 51600. Let m(q) = -4*q**3 - 324*q**2 - 3396*q - 8600. Let f(j) = -6*h(j) + 34*m(j). Factor f(s).
-4*(s - 172)*(s + 5)**2
Suppose -j + 3*y + 7 = 0, 0 = -5*y - 2 - 3. Suppose 40*m**2 - 24 + 40*m**3 - 5*m**4 - 7*m**5 + 8 - 48*m - 4*m**j = 0. Calculate m.
-2, -2/7, 1, 2
Let x(p) be the first derivative of -2*p + p**3 + 3/4*p**2 - 18 + 7/32*p**4. Factor x(u).
(u + 2)**2*(7*u - 4)/8
Factor -677 - 955*s - 1434*s + 950 - 2663 + s**2.
(s - 2390)*(s + 1)
Let z(k) be the third derivative of -k**8/560 - k**7/25 - 3*k**6/10 - 41*k**5/50 - 7*k**4/8 - 2272*k**2. Determine j so that z(j) = 0.
-7, -5, -1, 0
Suppose 4*a + z = 31, 7 = 4*a - 4*z - 9. Factor 9*i**3 - a*i**3 - 18*i**2 + 33*i + 3*i.
2*i*(i - 6)*(i - 3)
Suppose -48*d = -44*d + 2388. Let z = d - -2391/4. Let 39/4*b**2 + 9/2*b**3 + 9*b + z*b**4 + 3 = 0. What is b?
-2, -1
Suppose 3*l = 9, -37*x + 35*x + 120 = -2*l. Let -588 + 396*t**2 - 4*t**5 - 66*t - 44*t**4 - 24*t**3 + 236*t**2 + 205*t - x*t - 48*t = 0. Calculate t.
-7, -1, 1, 3
Let a = 19 - 18. Suppose 0 = -3*q + p + a, 2*q + 2*p - 1 = 3*p. Solve 1/4*u**2 + 1/4*u - 1/4*u**3 - 1/4*u**4 + q = 0 for u.
-1, 0, 1
Let g(q) be the second derivative of -15*q - 2*q**3 + 0*q**2 - 8*q**4 - 9/4*q**5 + 0. Determine t, given that g(t) = 0.
-2, -2/15, 0
Let h(z) be the third derivative of 0*z + 117*z**2 + 1/840*z**7 + 0*z**3 + 0 - 1/60*z**5 + 1/24*z**4 - 1/480*z**6. Determine f so that h(f) = 0.
-2, 0, 1, 2
Let u(n) be the second derivative of -4 - 1/180*n**6 + 24*n + 7/30*n**5 - 143/36*n**4 - 675/4*n**2 + 35*n**3. Solve u(a) = 0 for a.
5, 9
Factor 50*l - 2*l**3 + 0 + 25/4*l**2 - 1/4*l**4.
-l*(l - 5)*(l + 5)*(l + 8)/4
Let g = -94 + 105. Suppose -4*a**3 + 75*a - g + 13*a**2 - 76*a - 2 + 5*a**3 = 0. Calculate a.
-13, -1, 1
Let j(z) = z**2 + 478*z + 457. Let n(a) = -a**2 + 18*a - 1. Let v(i) = -2*j(i) + 2*n(i). Factor v(t).
-4*(t + 1)*(t + 229)
Let n = 6237 + -93554/15. Let g(s) be the first derivative of -n*s**3 + 1/20*s**4 - 19 + 0*s + 0*s**2. Let g(f) = 0. Calculate f.
0, 1
Let p(v) be the third derivative of v**6/720 - 591*v**5/20 + 1047843*v**4/4 - 1238550426*v**3 + 346*v**2 + 10. Find t, given that p(t) = 0.
3546
Let g be -21 - -10 - ((-1716)/176 - (-5)/(-4)). Let -1/2*c + g + c**2 - 1/2*c**3 = 0. What is c?
0, 1
Let n(y) be the first derivative of 7*y**6/33 - 94*y**5/55 + 49*y**4/11 - 104*y**3/33 - 24*y**2/11 + 1699. Find x, given that n(x) = 0.
-2/7, 0, 2, 3
Let b be (32/(-28))/((-90)/735). Let f(y) be the first derivative of 9*y**4 + 0*y + 4*y**2 + b*y**3 + 2