3/12 - 5*x**2 - 242. Factor k(a).
-(a - 1187)**2/2
Let s = -293 - -687. Let u = -370 + s. Factor u*y + 0 - 12*y**2 + 3/2*y**3.
3*y*(y - 4)**2/2
Let y be (-4 - -2) + (-34)/(-8) + -2. Let d(j) be the second derivative of -12*j + y*j**4 + 1/40*j**5 + j**3 + 0 + 2*j**2. Factor d(i).
(i + 2)**3/2
Let y(s) be the third derivative of s**5/210 - 33*s**4/7 - 923*s**2. Determine g, given that y(g) = 0.
0, 396
Let o be (-15 - -29) + (-6)/(-9)*-6. Let w be (666/(-259))/(o/(-7)). Find g such that w*g**3 + 3/5*g**4 - 6/5 + 3/5*g**2 - 9/5*g = 0.
-2, -1, 1
Let h(i) = -10*i**3 - 5*i**2 - 16*i. Let a(g) = 3*g**3 + 2*g**2 + 5*g. Suppose 0 = -36*s + 33*s + 39. Let v = 34 - s. Let y(d) = v*a(d) + 6*h(d). Factor y(x).
3*x*(x + 1)*(x + 3)
Factor 17*i**2 - 113*i**2 + 20*i**3 + 64*i + 247895*i**4 - 247883*i**4.
4*i*(i - 1)*(i + 4)*(3*i - 4)
Suppose -12*c - 2203 = -9079. Factor -27*v**4 + 48*v**3 - c*v**2 + 540*v**2 + 6*v**4 + 6*v.
-3*v*(v - 1)**2*(7*v - 2)
Suppose 4*h**4 - 98*h**2 + 212*h**2 + 4852*h + 155*h**3 + 231*h**2 - 9*h**4 - 5347*h = 0. Calculate h.
-3, 0, 1, 33
Let v(u) be the second derivative of 1/27*u**4 + 0*u**2 + 1/27*u**3 + 0 + 25*u + 1/90*u**5. Factor v(a).
2*a*(a + 1)**2/9
Let f be (3*(-3)/165)/(669/(-2230)). Let w be ((-57)/209)/((-3)/2). Find x, given that 2/11*x**2 - f*x + 2/11*x**3 + 0 - w*x**4 = 0.
-1, 0, 1
Suppose 3*w = 5*d + 2429 + 295, -2*w - 4 = 0. Let s be d/(-385) - 3/(-33)*2. Factor 2/5*a**2 - 8/5*a + s.
2*(a - 2)**2/5
Let n be (-765)/(-68) + (-1)/4. Factor 810 - x**2 - 417 - 411 - n*x.
-(x + 2)*(x + 9)
Let n(f) be the third derivative of -f**8/504 - f**7/315 + f**6/90 + f**5/45 - f**4/36 - f**3/9 - f**2 - 861. Solve n(o) = 0.
-1, 1
Let o(u) be the third derivative of u**6/200 - u**5/20 + 3*u**4/40 + 9*u**3/10 + 2*u**2 - 9*u. What is p in o(p) = 0?
-1, 3
Let m(o) be the first derivative of -o**6/18 - 32*o**5/15 + 44*o**4/3 - 326*o**3/9 + 257*o**2/6 - 74*o/3 - 2447. Solve m(z) = 0.
-37, 1, 2
Let a be (-2)/((-25)/15*(-2)/(-5)). Find z such that 2*z**3 + 19*z**2 - 4*z**2 + 28*z + 5*z**2 + 2*z**a + 12 = 0.
-3, -1
Let q be ((-8)/(-72))/(5/(-18195)). Let m = q + 405. Suppose 0*x + 0 + 1/3*x**5 + 1/3*x**3 + 0*x**2 + m*x**4 = 0. What is x?
-1, 0
Let q(w) = 3*w**3 + w**2 - 5*w. Let v be q(2). Suppose 108*f**3 + 9*f**4 - 123*f**3 - v*f**2 - 6*f**4 = 0. Calculate f.
-1, 0, 6
Let p(z) be the third derivative of 7*z**6/480 - 251*z**5/120 - 3*z**4/2 + 1251*z**2 + z. Let p(t) = 0. What is t?
-2/7, 0, 72
Let g(o) be the first derivative of -3*o**5/10 + 81*o**4/2 + 109*o**3/2 + 446. Solve g(x) = 0 for x.
-1, 0, 109
Let k be -2 + 2 - 60/(-1). Let w be ((-42)/4)/(k/(-40)). What is c in -15*c - w*c**3 + 8*c**3 + 4*c**3 - 10 = 0?
-1, 2
Suppose 5*a = -p + 17, -p - 13 = -2*a - 3*a. Factor p*k**5 + 6*k**4 - 29*k**2 - 48*k + 6785*k**3 + 2 - 27*k**2 - 2 - 6797*k**3.
2*k*(k - 3)*(k + 2)**3
Suppose 84*i - 1741*i**3 - 31*i + 77*i + 5*i**4 - 20*i**2 + 1711*i**3 - 10*i = 0. What is i?
-2, 0, 2, 6
Let d(j) be the third derivative of 7/20*j**5 + 10*j**3 + 0 - 95*j**2 + 9*j**4 + 0*j. Solve d(w) = 0.
-10, -2/7
Suppose -r - 77*n + 72*n = -4, 2*r - 20 = -4*n. What is t in -34/3*t - 2 - r*t**2 + 8/3*t**4 - 2*t**3 = 0?
-1, -1/4, 3
Suppose c = -5*c + 2*c. Suppose c = 7*h + 14 - 126. Let -s**4 - 17*s**3 + 0*s**2 + h*s**3 + 2*s**2 = 0. What is s?
-2, 0, 1
Let m(v) be the first derivative of -v**3/3 - 7*v**2 + 18*v - 11. Let i be m(-15). Factor 123*c**4 - 2*c**2 - 128*c**4 - i*c**2 - 10*c**3.
-5*c**2*(c + 1)**2
Solve 3/8*q**3 - 531/8*q - 255/4 - 9/4*q**2 = 0 for q.
-10, -1, 17
Let h(k) be the third derivative of k**8/84 + 2*k**7/15 - 31*k**6/10 - 203*k**5/15 - 52*k**4/3 - 4*k**2 + 9. Determine v so that h(v) = 0.
-13, -1, 0, 8
Let w(a) be the second derivative of 0*a**2 + 1/20*a**4 + 3/10*a**3 + 2*a + 45. Factor w(y).
3*y*(y + 3)/5
Let m(b) be the first derivative of -25/7*b**2 + 34 - 12/7*b - 8/21*b**3. Solve m(x) = 0.
-6, -1/4
Let q(z) be the second derivative of z**6/30 + 19*z**5/20 + 25*z**4/6 + 16*z**3/3 + 3151*z - 1. Factor q(d).
d*(d + 1)*(d + 2)*(d + 16)
Let n(y) be the first derivative of y**4/9 - 5020*y**3/27 - 5026*y**2/9 - 1676*y/3 - 12526. Determine c, given that n(c) = 0.
-1, 1257
Let q(f) = -20576*f - 102880. Let m be q(-5). Solve m - 9/5*b - 3/5*b**2 = 0.
-3, 0
Let b = -843 + 845. Let w(h) be the second derivative of -1/3*h**3 + 3*h + 0 - 1/9*h**4 + 2/15*h**5 - 1/63*h**7 + 0*h**6 + 2/3*h**b. Let w(d) = 0. What is d?
-2, -1, 1
Let d(k) be the second derivative of -k**6/90 + 7*k**5/15 + 17*k**4/18 - 74*k**3/9 + 29*k**2/2 - 822*k. Factor d(n).
-(n - 29)*(n - 1)**2*(n + 3)/3
Let h be (126/735)/((-4)/(-56)). Factor -h*n**4 + 6/5*n + 2/5*n**5 + 0 - 4*n**2 + 24/5*n**3.
2*n*(n - 3)*(n - 1)**3/5
Let u(o) be the first derivative of 18/5*o**5 - 16/11*o + 364/33*o**3 + 169 - 20/11*o**2 + 293/22*o**4. Solve u(p) = 0.
-2, -1, -2/11, 2/9
Let v(f) be the first derivative of 64*f**5/25 - 163*f**4/10 + 138*f**3/5 - 18*f**2/5 - 4941. Determine k so that v(k) = 0.
0, 3/32, 2, 3
Let j(q) = -q**3 - 5*q**2 - 5*q + 2. Let x be (-9 - 114/(-12))/(2/(-8)). Let b be j(x). Factor -1/2*y**3 + 0 + 1/2*y**4 + b*y - y**2.
y**2*(y - 2)*(y + 1)/2
Let s(n) be the second derivative of -n**6/225 - n**5/6 + 29*n**4/15 - 364*n**3/45 + 248*n**2/15 + 391*n. Factor s(w).
-2*(w - 2)**3*(w + 31)/15
Let w(k) be the second derivative of -1/10*k**5 - 5/4*k**4 + 13/3*k**3 - 76*k + 0 - 9/2*k**2. Factor w(z).
-(z - 1)*(z + 9)*(2*z - 1)
Let i(m) be the second derivative of -m**4/4 - 63*m**3/2 - 918*m**2 + 3352*m. Let i(d) = 0. What is d?
-51, -12
Let l(h) = 2150*h - 5*h**3 - 2119*h - 8*h**3 - 2 - 6 + 5*h**2. Let s(z) = 2*z**3 + z + z**2 + 0*z - 4*z**3. Let g(a) = -l(a) + 3*s(a). Factor g(j).
(j - 2)*(j + 2)*(7*j - 2)
Let n(f) = -20*f + 4 + 12*f**2 - 10*f**3 + 9*f**3 - 1. Let u be n(10). Factor -40*w**u - 2*w**2 + 73*w**3 - 38*w**3.
-w**2*(5*w + 2)
Let c be ((-12)/(-63))/((-428)/(-4494)). Factor -2/7*j**5 - 2/7*j**4 + 0 + 0*j**3 + 0*j + 0*j**c.
-2*j**4*(j + 1)/7
Let n = 450093 + -450091. Suppose 6/11*x**3 - 124/11*x - 48/11 + 62/11*x**n = 0. Calculate x.
-12, -1/3, 2
Solve 144/19 + 172/19*r**2 - 14/19*r**3 + 2/19*r**5 - 16/19*r**4 + 312/19*r = 0 for r.
-2, -1, 6
Let z be (-11 - -43)*9/12. Suppose -8*y - 4*y = -z. Find g such that 0*g**3 + 25*g**y + 14*g**3 + 6*g**3 + 7*g + 3*g + 5*g**4 = 0.
-2, -1, 0
What is g in 33/2*g + 1/2*g**4 - 7 - 23/2*g**2 + 3/2*g**3 = 0?
-7, 1, 2
Let l = -122 - -127. Let -46*y**4 + 21*y**4 + 27*y**4 - 8*y**2 - 4*y + y**l - 3*y**3 = 0. What is y?
-2, -1, 0, 2
Let n = 24 - -33. Factor 10*g**4 - 7*g**4 + 553*g + 3*g**5 + n*g**3 - 42*g**4 - 25*g + 192 + 435*g**2.
3*(g - 8)**2*(g + 1)**3
Let z(n) be the second derivative of -n**7/7560 + n**6/720 - n**5/180 - n**4/2 - n**2/2 - 3*n + 11. Let b(j) be the third derivative of z(j). Factor b(h).
-(h - 2)*(h - 1)/3
Let q(d) = 10*d - 35. Let l be q(4). Factor -18*u**l + 0*u**5 - 2*u**2 - 14*u**3 + 18*u**4 + 16*u**4.
-2*u**2*(u - 1)**2*(9*u + 1)
Let l = 4583 + -4580. Let h(d) be the second derivative of 0 - 2*d - 7*d**l - 3/10*d**5 - 9*d**2 + 17/6*d**4. Determine g so that h(g) = 0.
-1/3, 3
Let h(q) = -q**3 - 34*q**2 - 127*q + 126. Let a(i) = 2*i**3 + 33*i**2 + 129*i - 122. Let f(t) = 6*a(t) + 7*h(t). Factor f(c).
5*(c - 10)*(c - 1)*(c + 3)
Let i(p) be the first derivative of -2*p**5/75 + 1418*p**4/15 - 2010724*p**3/15 + 1425603316*p**2/15 - 505376375522*p/15 + 7747. Factor i(n).
-2*(n - 709)**4/15
Let r(d) be the second derivative of -d**8/3360 + 13*d**7/630 - 169*d**6/360 + 5*d**4/6 - d - 17. Let w(p) be the third derivative of r(p). Solve w(j) = 0.
0, 13
Let y(i) be the second derivative of i**7/210 + 17*i**6/150 + 103*i**5/100 + 271*i**4/60 + 148*i**3/15 + 56*i**2/5 + 1776*i. Determine o, given that y(o) = 0.
-7, -4, -1
Let s(o) = -122*o**3 + 3098*o**2 - 12152*o + 12078. Let d(i) = -34*i**3 + 885*i**2 - 3472*i + 3451. Let f(u) = -18*d(u) + 5*s(u). What is m in f(m) = 0?
2, 216
Let p be 16/96 + (-5158)/(-84). Let a = -423/7 + p. Solve -2/7*k - a*k**2 + 0 = 0.
-1/4, 0
Let s(o) = -o**2 - o. Let k(y) = -6*y**2 + 323*y - 26896. Let p(i) = -k(i) + 5*s(i). Factor p(d).
(d - 164)**2
Suppose 4*j - 2*t = 2*t, 5*j = -t + 12. Let p be (1 - 0 - j) + 1. Determine w, given that -1/6*w - 1/6*w**3 - 1/3*w**2 + p = 0.
-1, 0
Let o(q) be the third derivative of q**5/2