- 193513*j**5 + 123*j**2 + 372*j**4 = 0. What is j?
-1, 0, 3/32
Let m = -355899/17 + 20947. Let t(d) be the first derivative of -2/51*d**3 - 16 + 20/17*d**2 - m*d. Let t(s) = 0. Calculate s.
10
Let q(s) be the first derivative of s**9/336 + s**8/80 - s**6/30 + 11*s**3/3 - s**2 - 59. Let x(f) be the third derivative of q(f). Let x(r) = 0. What is r?
-2, -1, 0, 2/3
Let v(j) = 4*j**4 + 2*j**3 - 27*j**2 + 9*j + 6. Let x(f) = 5*f**4 + f**3 - 28*f**2 + 12*f + 8. Let d(l) = -4*v(l) + 3*x(l). Factor d(w).
-w**2*(w - 3)*(w + 8)
Let v(o) = -o**2 + 739*o - 1474. Let m be v(2). Determine h so that 0*h - 9/2*h**3 - 3/2*h**4 + m - 3*h**2 = 0.
-2, -1, 0
Let s(x) = 63*x + 7056. Let o be s(-112). What is t in o*t - 1/6*t**2 + 0 - 2/3*t**3 = 0?
-1/4, 0
Suppose 25 + 13 = 5*p - f, p - f = 10. Factor -4 + 16*x - 3*x**3 - x**3 - p*x**4 + x**5 + 23*x**3 + 0*x**4 - 25*x**2.
(x - 2)**2*(x - 1)**3
Let y be (181 + -11)*(-9 + 6). Let w = 512 + y. Solve -2/13*p**5 + 0*p**3 - 4/13*p**w + 0 + 4/13*p**4 + 2/13*p = 0.
-1, 0, 1
Suppose -23*y + 18*y = -5. Let v(p) = -p**2 - p - 1. Let j(r) = 8*r**2 + 8*r + 20. Let z(g) = y*j(g) + 12*v(g). Suppose z(s) = 0. Calculate s.
-2, 1
Let d be -2 + 5/((-35)/(-1806)). Let o = -4350/17 + d. Factor -10/17*i - 4/17 - o*i**3 - 8/17*i**2.
-2*(i + 1)**2*(i + 2)/17
Let d(n) be the third derivative of n**7/210 - 29*n**6/24 + 12*n**5/5 - 2*n**2 + 11*n + 39. Determine t so that d(t) = 0.
0, 1, 144
Let z(h) be the second derivative of h**6/165 - 127*h**5/55 + 16129*h**4/66 - 1414*h. Factor z(c).
2*c**2*(c - 127)**2/11
Determine h so that 6568/5*h**2 + h**3 - 2626/5 + 3937/5*h = 0.
-1313, -1, 2/5
Let z be 7 + 32 + -27 - (7 - -2). Solve 27/2 + 9/8*b**z - 105/8*b**2 + 36*b = 0.
-1/3, 6
Let w(h) be the second derivative of -h**6/90 + h**5/15 + h**4/12 - 7*h**3/9 + 4*h**2/3 - 1035*h. Factor w(v).
-(v - 4)*(v - 1)**2*(v + 2)/3
Suppose -o + 5 = 5*q - 0*o, 5*q + 3*o + 5 = 0. Let p = -59 - -62. What is b in 4*b**3 - q*b**p + 12*b**4 + 2*b**3 - 12*b**2 - 18*b + 2*b**5 + 12*b**3 = 0?
-3, -1, 0, 1
Suppose y + 15 = 25*z - 24*z, -y = y + 30. Determine r, given that -1/9*r**3 + 2/9*r**2 + z*r + 0 = 0.
0, 2
Suppose -5*p = -5*g - 60, 21*p + 2*g = 19*p - 16. Factor 2/9*t**5 + 2*t**3 + 4/9*t + 0 - 14/9*t**p - 10/9*t**4.
2*t*(t - 2)*(t - 1)**3/9
Let r(g) be the first derivative of g**7/2520 - g**6/270 + g**5/90 + g**3/3 - 60*g - 49. Let i(l) be the third derivative of r(l). Factor i(n).
n*(n - 2)**2/3
Factor -626*p**3 - 639*p**3 + 1295*p**3 + 27*p**4 - 3*p**5.
-3*p**3*(p - 10)*(p + 1)
Let i = -358514/33 - -10866. Let z = 36/11 - i. Let 4/3*o**2 - 2/3*o**5 + 0*o + 0 - z*o**4 + 2/3*o**3 = 0. Calculate o.
-2, -1, 0, 1
Solve -524*a**2 + 154*a + 484 + 1770*a**5 - 885*a**5 - 152*a**3 + 40*a**4 - 887*a**5 = 0.
-2, -1, 1, 11
Let l(v) be the third derivative of 0 + 0*v - 43*v**2 + 1/600*v**6 + 41/120*v**4 - 2/3*v**3 - 11/150*v**5. Factor l(g).
(g - 20)*(g - 1)**2/5
Let a = 93/865 + 11273/7785. Let -a*g + 2/9 + 4/3*g**2 = 0. What is g?
1/6, 1
Let t be (-70)/140 - 53/(-2). Let p(m) be the first derivative of 5*m + t - m**2 - 8/5*m**3 - 1/25*m**5 + 1/2*m**4. Let p(a) = 0. What is a?
-1, 1, 5
Let r(a) be the second derivative of 2*a**6/45 - 9*a**5/5 - 227*a**4/36 - 8*a**3 - 29*a**2/6 + 40*a - 6. Suppose r(q) = 0. Calculate q.
-1, -1/2, 29
Suppose -2*j = 2*b + 60, -3*b + 3*j - 130 = -2*j. Let d = b + 39. Factor -1/3*z**4 - d*z - 3 + 4/3*z**3 + 2/3*z**2.
-(z - 3)**2*(z + 1)**2/3
Let k be -5 + -9 - -12 - 1*-2*(-42)/(-12). Let 12*i - 57/5*i**3 + 24/5*i**2 - 48/5 + 24/5*i**4 - 3/5*i**k = 0. What is i?
-1, 1, 2, 4
Let d(i) be the third derivative of i**5/80 + 61*i**4/32 + 187*i**3/2 - 5*i**2 + 50. Factor d(l).
3*(l + 17)*(l + 44)/4
Factor -2/7*l**2 - 4/7*l + 48/7.
-2*(l - 4)*(l + 6)/7
Let a(o) be the first derivative of -o**9/12096 + o**8/1344 - o**7/420 + o**6/360 + 29*o**3 + 15. Let m(p) be the third derivative of a(p). Factor m(s).
-s**2*(s - 2)**2*(s - 1)/4
Let u be (-7722)/(-8) + (6 - (-203)/(-28)). Let n = u + -6736/7. Let -3/7*j**2 + 9/7*j + n = 0. What is j?
-1, 4
Suppose 4/5*s**2 - 18/5*s - 36/5 = 0. Calculate s.
-3/2, 6
Let w(k) be the first derivative of 1/72*k**6 - 5/24*k**5 + 0*k - 18 + 32/3*k**3 + 5/6*k**4 + 0*k**2. Let o(j) be the third derivative of w(j). Factor o(c).
5*(c - 4)*(c - 1)
Let f = 15 - 10. Suppose 10*y = f*y. Factor 4*m**5 + 2*m**2 + 6*m**2 - 8*m**3 - 4 + y*m**2 + 4*m - 4*m**4.
4*(m - 1)**3*(m + 1)**2
Let s(w) be the second derivative of 4*w - 9 + 12*w**2 + 6*w**3 + 6/5*w**6 - 1/2*w**7 + 15/4*w**5 - 25/2*w**4. Let s(z) = 0. Calculate z.
-2, -2/7, 1, 2
Let n = -2182/7 - -313. Suppose -1 - 31 = -8*l. Let 6/7*c**5 - 3/7*c**2 + 3/7*c**l - n*c**3 + 0 + 3/7*c = 0. Calculate c.
-1, 0, 1/2, 1
Determine o, given that 321*o - 312*o**2 - 72 + 244 - 3*o**3 + 458 = 0.
-105, -1, 2
Let z(f) = -f - 4. Let g be z(-9). Suppose 4*b + 3*o + o - 4 = 0, g = -5*o. Let -104 - 16*v - b*v**2 - 90 + 180 = 0. What is v?
-7, -1
Let q(z) be the second derivative of -z**6/90 + 91*z**5/60 + z**4/36 - 91*z**3/18 + 1462*z. Let q(w) = 0. What is w?
-1, 0, 1, 91
Let x(q) be the second derivative of -q**6/210 + 3*q**5/10 - 110*q**4/21 - q**3 + 63*q**2/2 + 2*q - 102. Suppose x(d) = 0. What is d?
-1, 1, 21
Let u be (15 - 10)/((-1)/(-37500)). Factor 3597*z + 256 - u*z**4 - 855*z**2 + 14075*z**2 + 435*z + 2380*z**2 - 27500*z**3.
-4*(3*z - 1)*(25*z + 4)**3
Let h be 309/6 + 27/(-18). Suppose -3*a = 5*m - 14, 4*m - 1 = -h*a + 51*a. Factor -3/4*q**a + q + 0 + q**2 + 1/4*q**5 - 1/2*q**4.
q*(q - 2)**2*(q + 1)**2/4
Let j(d) be the second derivative of 1/3*d**4 + 0 - 60*d + 0*d**3 + 1/10*d**5 + 0*d**2. Factor j(k).
2*k**2*(k + 2)
Let 2269*c**3 + 3586*c + 2813*c - 524*c**3 + 2636*c + 20*c**5 - 295*c**4 + 1690 - 160*c**4 + 9565*c**2 = 0. What is c?
-2, -1, -1/4, 13
Let w(v) be the first derivative of 1 + 1/60*v**5 - 13*v + 0*v**2 + 0*v**3 - 1/90*v**6 + 0*v**4. Let i(a) be the first derivative of w(a). Factor i(j).
-j**3*(j - 1)/3
Let q(p) be the second derivative of 169*p**5/60 + 949*p**4/36 + 268*p**3/9 + 40*p**2/3 + 2399*p. What is c in q(c) = 0?
-5, -4/13
Factor -6/5*i**3 + 1278/5 - 2562/5*i + 258*i**2.
-6*(i - 213)*(i - 1)**2/5
Let d(o) be the second derivative of -o**5/30 - 583*o**4/6 - 339889*o**3/3 - 198155287*o**2/3 + 69*o + 1. Determine k, given that d(k) = 0.
-583
Let u(f) = 75*f + 372. Let t be u(-5). Let m(q) = 2*q**2 + 14*q + 40. Let h be m(t). Solve -8/5*v**4 + 0 + 16/5*v + 84/5*v**3 + h*v**2 - 28/5*v**5 = 0.
-1, -2/7, 0, 2
Let f(s) = -14*s**2 - 20*s + 218. Let c(a) = -11*a**2 - 19*a + 216. Let q(d) = -4*c(d) + 3*f(d). Factor q(u).
2*(u - 7)*(u + 15)
Let x be (-40)/(-16)*6 + 1. Suppose -2*d - 3*d = -4*r - 7, 2*r - x = -4*d. Factor 0 - 1/9*v**d - 2/9*v**4 - 1/9*v**5 + 0*v**2 + 0*v.
-v**3*(v + 1)**2/9
Let n(s) be the second derivative of -3/10*s**5 + 17 + 0*s**2 - 4/15*s**6 + 0*s**4 + 1/6*s**3 + 4*s - 1/14*s**7. Determine g so that n(g) = 0.
-1, 0, 1/3
Let n(z) be the first derivative of 2*z**3/3 - 21*z**2/2 + 13*z + 9. Let x be n(11). Factor -x*s**2 + 9 - s**2 + 4 - 40*s + 7.
-5*(s + 2)*(5*s - 2)
Let v(w) = -9*w**4 - 4*w**3 + 3*w**2 + 9*w + 6. Let f(z) = -2*z**4 + z + 2. Let s = 48 - 58. Let l(o) = s*f(o) + 2*v(o). Factor l(g).
2*(g - 2)**2*(g - 1)*(g + 1)
Let g = 370 - 351. Find v such that 128 + v**3 + 168*v**2 + g*v**3 + 140*v + 111*v + 133*v = 0.
-4, -2/5
Let t(a) be the third derivative of a**5/12 + 325*a**4/24 + 624*a**2. Determine d so that t(d) = 0.
-65, 0
Let f = 368876 - 1844379/5. Factor f*y**2 + 6/5*y - 27/5.
(y - 3)*(y + 9)/5
Let y(w) = w**3 - 191*w**2 + 2677*w + 9805. Let j(d) = -192*d**2 + 2679*d + 9807. Let l(a) = 2*j(a) - 3*y(a). What is t in l(t) = 0?
-3, 33
Let d(j) = -51*j + 613. Let l be d(12). Let g(f) = 2*f + f**2 - 5 + f + 2. Let o(w) = w. Let s(b) = l*g(b) - 5*o(b). Factor s(z).
(z - 3)*(z + 1)
Let f(m) = 12*m**3 + 11512*m**2 - 8259892*m + 16. Let s(q) = -q**3 - q**2 + q - 1. Let u(x) = f(x) + 16*s(x). Solve u(p) = 0.
0, 1437
Let l = 3824 - 133839/35. Let d(w) be the first derivative of 2/7*w**4 + 16/21*w**3 + 0*w - 29 + l*w**5 + 0*w**2. Factor d(b).
b**2*(b + 4)**2/7
Let n be (-8 + 119/14)*4. Let m be (-1)/(n/3*5/(-10)). What is d in 15/4*d**2 - 27/4 + 3/4*d**m + 9/4*d = 0?
-3, 1
Let d be (0 - 1)*1*-75. Factor 378 - 378 - 73*f**2 + d*f**2.
2*f**2
Let v(z) = 16*z**3 