 be -1 + (3 + -5 - -5). What is k in -12 - 631*k**a - 2*k**4 - k**4 + 646*k**2 = 0?
-2, -1, 1, 2
Let r be (-4 - 2 - -4)/(-1). Factor -12*b**r + 14*b**3 + 3*b + 6*b**3 + 16 - 23*b - 4*b**4.
-4*(b - 4)*(b - 1)**2*(b + 1)
Let p(x) be the third derivative of -x**5/630 + 59*x**4/84 - x**2 - 4*x - 125. Factor p(v).
-2*v*(v - 177)/21
Let y(o) be the third derivative of o**8/1680 - 59*o**7/105 + 28811*o**6/200 + 8732*o**5/15 + 10952*o**4/15 + 644*o**2. Factor y(f).
f*(f - 296)**2*(f + 1)**2/5
Let y(j) be the third derivative of -j**7/350 - 119*j**6/40 - 117609*j**5/100 - 7642993*j**4/40 + 7880599*j**3/5 - 2673*j**2. Factor y(b).
-3*(b - 2)*(b + 199)**3/5
Suppose 342*t - 88*t = 0. Let y(n) be the third derivative of 25*n**2 + t - 5/27*n**3 + 1/270*n**5 - 1/27*n**4 + 0*n. Suppose y(g) = 0. Calculate g.
-1, 5
Let a = 90263 + -90260. Suppose a - 23/4*o + 5/2*o**2 + 1/4*o**3 = 0. Calculate o.
-12, 1
Let y(m) be the second derivative of -6*m + 14/3*m**3 - 1/3*m**4 + 0 - 12*m**2. Determine l so that y(l) = 0.
1, 6
What is i in 354 + 1/2*i + 1/2*i**5 + 354*i**4 - 708*i**2 - i**3 = 0?
-708, -1, 1
Let z = 282355 + -138888. Factor -4*h**5 + 143467*h**2 - 68*h**4 - z*h**2 + 152*h**3.
-4*h**3*(h - 2)*(h + 19)
Let r(o) be the third derivative of 40 - 20/3*o**3 - 8/3*o**4 - o**2 + 0*o - 1/10*o**5. Factor r(z).
-2*(z + 10)*(3*z + 2)
Let a(d) = 32*d**4 + 304*d**3 - 908*d**2 + 632*d + 36. Let i(f) = -3*f**4 + f**3 - f**2 - 2*f - 3. Let x(b) = a(b) + 12*i(b). Factor x(z).
-4*z*(z - 76)*(z - 2)*(z - 1)
Let g(l) be the first derivative of 4/5*l**5 + 4/3*l**3 - 2*l**4 + 0*l**2 + 0*l - 47. Let g(f) = 0. Calculate f.
0, 1
Let q(d) = 7*d - 217. Let p be q(44). Suppose p*a = 86*a + 10. Factor 64/7 + 36/7*o**a - 96/7*o - 4/7*o**3.
-4*(o - 4)**2*(o - 1)/7
Factor 2/13*s**3 + 838/13*s + 1020/13 - 180/13*s**2.
2*(s - 85)*(s - 6)*(s + 1)/13
Let q(w) = 2*w**2 + 14866*w - 13823596. Let l(j) = 3*j**2 + 29733*j - 27647180. Let m(o) = -6*l(o) + 11*q(o). Suppose m(c) = 0. What is c?
1859
Let p(k) = -k**3 - k**2 + k - 1. Let j(r) = 2 - 4*r + 1 - r**4 + 4*r**3 + 6*r**2 - 2*r**2. Suppose -39 = 27*m + 42. Let d(a) = m*p(a) - j(a). Factor d(z).
z*(z - 1)**2*(z + 1)
Factor -6729*m**2 + 5256*m - 54991*m**3 + 1273 + 54964*m**3 + 227.
-3*(m - 1)*(m + 250)*(9*m + 2)
Let h(n) = 731*n + 27781. Let b be h(-38). Factor 4/7*t**b - 16/7*t + 16/7 - 4/7*t**2.
4*(t - 2)*(t - 1)*(t + 2)/7
Suppose -9*m = -77 - 139. Let s be ((-1)/2)/(m/(-192)). Determine w, given that 284*w**5 - 340*w**3 + 2*w**3 - 286*w**5 - 52*w**s = 0.
-13, 0
Let b(t) be the first derivative of 4*t**3/3 + 76*t**2 + 1444*t - 348. Find n, given that b(n) = 0.
-19
Let c(s) be the first derivative of -307 + 1/2*s - 3/8*s**2 + 1/12*s**3. Determine h so that c(h) = 0.
1, 2
Suppose -64/5*j**2 - 252/5*j**3 - 52/5*j**4 - 64/5 + 432/5*j = 0. Calculate j.
-4, -2, 2/13, 1
Let p(z) be the first derivative of z**6/240 + z**5/10 - 5*z**4/4 + z**3 + z**2 + 46. Let r(k) be the third derivative of p(k). What is d in r(d) = 0?
-10, 2
Let d be 17*(0 - -6)/6. Let n be ((-6)/(-21))/(d/7). Find t such that -12/17 + n*t**2 - 2/17*t = 0.
-2, 3
Let a(m) = -12*m - 12. Let p be a(-1). Let w(n) be the third derivative of 13*n**2 + 0*n**4 - 1/140*n**5 + 0 + 0*n + p*n**3 - 1/280*n**6. What is v in w(v) = 0?
-1, 0
Let c be (9*(-7)/42)/(180/(-82668))*4. Factor -16/5 + 1336/5*y + c*y**3 - 5644*y**2.
2*(y - 2)*(83*y - 2)**2/5
Let w(n) = -4*n**3 + 556*n**2 - 556*n + 4. Let y(d) = 20*d**3 - 2779*d**2 + 2778*d - 19. Let o(p) = -19*w(p) - 4*y(p). Factor o(c).
-4*c*(c - 137)*(c - 1)
Let s = -95866 + 287603/3. Factor s*u**4 + 0 - 20*u - 40/3*u**2 + 5/3*u**3.
5*u*(u - 3)*(u + 2)**2/3
Let h(t) be the first derivative of -10*t**3/9 - 31*t**2/3 + 56*t/3 + 326. Factor h(y).
-2*(y + 7)*(5*y - 4)/3
Let v(y) be the third derivative of -y**3 + 0 - 21*y**2 + 0*y + 1/1080*y**6 + 1/30*y**5 + 1/2*y**4. Let x(a) be the first derivative of v(a). Factor x(g).
(g + 6)**2/3
Factor -56*u**2 - 3*u**2 - 75*u**2 + 17*u**2 + 4*u**3 + 256*u - 19*u**2.
4*u*(u - 32)*(u - 2)
Let d(y) = 14*y - 68. Let o be d(5). Solve 4 + 3*v**o + v**2 + 12 + 20*v = 0.
-4, -1
Suppose -9 = -4*h + 7. Suppose u = i - h, 4*i - u = -0*u + 16. Suppose -11*z**4 + 8*z + 12*z**2 + 13*z**i + 2 + 8*z**3 + 0 = 0. What is z?
-1
Let i = 110506 + -110496. Factor -i*d + 10/3*d**3 - 15*d**2 + 25/3.
5*(d - 5)*(d + 1)*(2*d - 1)/3
Suppose 2*n = 10, -2*z = 3*z + 4*n - 20. Suppose 3*x = -2*l + 3, -3 = 2*x - l - 12. Factor -2/9*h**2 + z*h**x + 0 + 0*h + 2/9*h**4.
2*h**2*(h - 1)*(h + 1)/9
Let l be 220/(-990)*432/(-32). Determine b, given that 2/5*b**4 - 2*b - 6/5 + 4/5*b**2 + 12/5*b**l - 2/5*b**5 = 0.
-1, 1, 3
Let g be 1616/(-10)*(-12 + (-232)/(-16)). Let i be (-7 + g/(-60))*(-90)/20. Factor -26/15*n**2 + 16/5*n**3 + 4/15*n - i*n**4 + 0.
-2*n*(n - 2)*(3*n - 1)**2/15
Let i(l) be the third derivative of l**8/210 + 34*l**7/525 + 13*l**6/50 + 16*l**5/75 - 2*l**4/3 + 2*l**2 + 361*l. Suppose i(w) = 0. Calculate w.
-5, -2, 0, 1/2
Solve 1056/5*a + 0 - 4/5*a**2 = 0 for a.
0, 264
Let g(i) be the second derivative of i**6/60 - i**5/10 - 11*i**4/24 - i**3/2 - 152*i + 10. Suppose g(w) = 0. Calculate w.
-1, 0, 6
Suppose 34*u = 61*u - 81. Suppose 5*k - u*k = -k. Solve k - 2/11*w + 0*w**4 + 0*w**2 + 4/11*w**3 - 2/11*w**5 = 0.
-1, 0, 1
Let h be (34*(-5)/50)/((-112)/40 - -2). Let w(s) be the second derivative of 0*s**2 + 0 + 2*s - 95/12*s**4 + 5/3*s**3 + h*s**5. Let w(t) = 0. What is t?
0, 2/17, 1
Let i(r) be the first derivative of -33/5*r**2 + 24/25*r**5 - 1/15*r**6 - 19/5*r**4 + 16/5*r + 104/15*r**3 + 70. Find p such that i(p) = 0.
1, 8
Let j(q) be the second derivative of -43*q - 1/18*q**3 - 1/120*q**5 - 1 + 2/3*q**2 - 5/72*q**4. Let j(n) = 0. Calculate n.
-4, -2, 1
Let g(s) be the first derivative of -3*s - 122 + 0*s**2 + 1/9*s**3. Factor g(m).
(m - 3)*(m + 3)/3
Let i(h) be the second derivative of -23*h**6/90 + 7*h**5/10 + h**4/3 + 5*h**3 + h**2/2 - 14*h. Let d(u) be the second derivative of i(u). Factor d(k).
-4*(k - 1)*(23*k + 2)
Let h be (-8 - 567/(-72)) + (-8142)/16. Let d = h + 509. Factor 2/7*l**3 - 2/7*l**2 + d + 0*l.
2*l**2*(l - 1)/7
Let o(q) be the first derivative of -34 - 4*q**2 + 2/3*q**3 + 1/5*q**5 + 5/4*q**4 + 0*q. Factor o(x).
x*(x - 1)*(x + 2)*(x + 4)
Let k(w) = -3*w**3 + w**2 - 1. Let r be (1 + -2)/(19 + -18). Let b(n) = -35*n**3 + 180*n**2 - 1445*n - 10. Let a(g) = r*b(g) + 10*k(g). Factor a(m).
5*m*(m - 17)**2
Let u(w) = 3*w**3 - w**2 - w + 1. Let f be u(1). Find b such that b**f - 3 + 7*b - 2*b + 2*b + 9 = 0.
-6, -1
Let -195*i - 345*i - 3*i**3 - 3*i**3 + 24*i**2 + 10*i**3 = 0. What is i?
-15, 0, 9
Let g(q) = 15*q**2 + 294*q - 181. Let y(t) = 2*t**2 + t + 13. Let f(w) = -g(w) + 8*y(w). Factor f(b).
(b - 285)*(b - 1)
Factor -33*u - 336 + 27*u - 3*u**2 - 160*u + 70*u.
-3*(u + 4)*(u + 28)
Suppose -17*r = -31*r + 28. Suppose -2*x + 7 = 3*h, 5*h - 14 + 0 = -x. Find w, given that 4/3 - 2*w + 0*w**r + 2/3*w**h = 0.
-2, 1
Let g(b) be the second derivative of b**5/20 - b**4/6 - 3*b**3/2 + 120*b. Let s be g(0). Factor -1/4*p + 1/4*p**2 + s.
p*(p - 1)/4
Let g(j) be the second derivative of -1 + 43/120*j**5 + 9/4*j**3 + 13/8*j**4 + 20*j - 9/2*j**2 + 1/36*j**6. Suppose g(p) = 0. What is p?
-3, 2/5
Suppose w + 2*b + 38 = 0, -44 = 9*w - 4*b - 142. Suppose 0 = -0*x - x. Let x + 1/6*t + 5/6*t**3 - t**w = 0. Calculate t.
0, 1/5, 1
Let k = 414765 + -414737. Solve 28*x**4 - k*x**2 + 4/3*x**5 + 0 + 76/3*x**3 - 80/3*x = 0 for x.
-20, -1, 0, 1
Let y = -81/10 - -368/45. Let b(t) be the second derivative of -2/9*t**2 + 0 + 2/9*t**4 - 8*t - y*t**5 - 1/9*t**3. Determine a so that b(a) = 0.
-2/7, 1
Let c(k) be the first derivative of -2*k**3/21 - 68*k**2/7 + 138*k/7 + 612. Factor c(s).
-2*(s - 1)*(s + 69)/7
Let h = 347981/5 - 69417. Suppose 116/5*a**2 + 784/5 - h*a - 4/5*a**3 = 0. Calculate a.
1, 14
Suppose -2 = -26*d + 50. Solve -32*r**2 - d*r**3 + 18*r**2 + 24 - 40*r + 32*r = 0 for r.
-6, -2, 1
Find a such that 852/17*a**3 - 56*a**2 - 50/17*a**5 + 590/17*a**4 + 208/17*a + 0 = 0.
-2, 0, 2/5, 13
Let t = 549536 - 1647136/3. Determine z so that t*z + 196/3*z**3 + 2660/3*z**2 + 208/3 = 0.
-13, -2/7
Let x(a) = 6*a + 46. Let o = -389 + 382. Let z be x(o). Factor -5/4*g**z + 0 + 0*g + 0*g**2 - 5/4*g**3.
-5*g**3*(g + 1)/4
Factor 2*c**5 + 51*c**3 + 106*c**4 - 116*c**3 + 