2*k**2 + 2*k**2 = 0. Calculate k.
-8
Let r be (1 - (18 + -8)/10)*14/(-126). Factor r*k + 14/3*k**2 + 2/3*k**4 - 16/3*k**3 + 0.
2*k**2*(k - 7)*(k - 1)/3
Suppose -4*q**4 - 5*q**4 - 10*q**3 - 2*q**2 + 5*q**4 - 16*q + 36 + 58*q + 2*q**4 = 0. What is q?
-3, -1, 2
Let m = 63075/737 - 4455/67. Factor 106/11 + m*t - 4/11*t**2.
-2*(t - 53)*(2*t + 1)/11
Let w(f) be the first derivative of -9*f**5/40 + 21*f**4/32 + 1403*f**3/24 + 927*f**2/16 + 77*f/4 + 3356. Determine v so that w(v) = 0.
-11, -1/3, 14
Factor 26/11*c**2 - 52/11*c - 2/11*c**3 - 80/11.
-2*(c - 10)*(c - 4)*(c + 1)/11
Let v be (1 - (-1)/(-3))*(-18 + -12). Let g be 2*(-2 + (-70)/v). Factor 1/4*a**g + 0 + 3/2*a**2 + 9/4*a.
a*(a + 3)**2/4
Let f(k) be the third derivative of 5/48*k**6 + k + 0*k**4 + 0*k**5 + 0*k**3 + 1/2688*k**8 + 0 - 59*k**2 - 1/84*k**7. Factor f(s).
s**3*(s - 10)**2/8
Suppose 5*s + 408 = 17*s. Find i such that -2*i**4 - s*i**2 - 12 + 44*i + 4902*i**3 - 10*i - 4888*i**3 = 0.
1, 2, 3
Let t be (-4*-3*(-3)/162)/((-880)/1980). Solve 18*n + t*n**2 + 162 = 0.
-18
Let h(t) be the third derivative of 3*t**8/112 - 83*t**7/175 + 117*t**6/100 + 103*t**5/25 - 57*t**4/40 - 27*t**3/5 + 1727*t**2. Suppose h(z) = 0. What is z?
-1, -1/3, 2/5, 3, 9
Let d be 38/95*5/4. Let c(f) be the first derivative of -1/18*f**3 - 5/6*f - 15 - d*f**2. Suppose c(j) = 0. Calculate j.
-5, -1
Solve -189*x**2 - 130*x - 47 - 32*x**3 - 50 - 83*x**2 + 56 + 25 = 0.
-8, -1/4
Let h(x) be the first derivative of -4/15*x**3 + 0*x + 18/5*x**2 - 18. Let h(c) = 0. What is c?
0, 9
Let d(f) be the first derivative of 0*f + 5/12*f**6 - 7/2*f**5 + 10*f**2 + 291 - 50/3*f**3 + 45/4*f**4. Factor d(o).
5*o*(o - 2)**3*(o - 1)/2
Let t(k) = 2*k**3 - 2*k**2 + k. Let y(v) = 4*v**4 - 176*v**3 + 1484*v**2 + 14356*v + 24336. Let p(r) = 4*t(r) - y(r). Factor p(a).
-4*(a - 26)**2*(a + 3)**2
Let x(a) be the first derivative of -a**7/2940 + a**5/420 - 65*a**3/3 + 29. Let q(p) be the third derivative of x(p). Factor q(m).
-2*m*(m - 1)*(m + 1)/7
Suppose 93 - 93 = 123*b - 8*b. Let u(x) be the first derivative of -3/40*x**4 - 4/15*x**3 - 1/5*x**2 + b*x + 12. Determine j so that u(j) = 0.
-2, -2/3, 0
Let a(c) be the third derivative of 0 + 11/2*c**4 + c**5 + 34/3*c**3 + 86*c**2 - 1/30*c**6 + 0*c. Factor a(f).
-4*(f - 17)*(f + 1)**2
Factor 3536*c + 347001 + 2023*c**2 + 434455 - 2019*c**2.
4*(c + 442)**2
Let b(z) be the first derivative of 0*z**2 + 1/900*z**6 - 27 + 0*z + 1/10*z**4 + 1/60*z**5 - 14/3*z**3. Let l(d) be the third derivative of b(d). Factor l(m).
2*(m + 2)*(m + 3)/5
Let t be (-1 - 0/2)*-2. Let n = 12493/69 + -4149/23. Find i, given that n + 2/3*i**t + 4/3*i = 0.
-1
Let m = 4253 - 4233. Let q(f) be the third derivative of 0*f**4 + 0 + 0*f - 1/60*f**6 + m*f**2 - 1/30*f**5 + 0*f**3. Let q(d) = 0. Calculate d.
-1, 0
Let c be (-2)/(-19) - -350*17/(-87210). Let f(m) be the first derivative of -c*m**3 + 1/6*m**2 + 0*m - 18. Factor f(h).
-h*(h - 3)/9
Suppose -9658*l = -9667*l. Solve l - 2/5*d**2 - 52/5*d = 0.
-26, 0
Let p(x) be the third derivative of -1/660*x**6 + 1/66*x**4 + 0 + 0*x + 1/330*x**5 + 0*x**3 + 272*x**2. Find w, given that p(w) = 0.
-1, 0, 2
Let q(z) = z**3 - 16*z**2 - 13*z - 66. Let v be q(17). Suppose 4*l = 5*m - 34, 0 = -4*l + l - 3. Factor 8 + o**2 - v*o + 2*o - m*o - 3*o**2.
-2*(o - 1)*(o + 4)
Let t(z) = -55*z**2 + 18810*z + 18265. Let g(i) = -4*i**2 + 1446*i + 1405. Let n(v) = -40*g(v) + 3*t(v). Factor n(r).
-5*(r + 1)*(r + 281)
Let i be (9/(-2))/(4 + 438/(-108)). Suppose 0 = 33*u - i + 15. Solve 0*q**3 + 1/11*q**4 + 0 - 1/11*q**u + 0*q = 0 for q.
-1, 0, 1
Let l(d) be the second derivative of d**4/30 + 2*d**3/5 + 1653*d. What is c in l(c) = 0?
-6, 0
Let v(h) be the second derivative of -1/40*h**6 - 11/2*h**2 + 0 + 13*h + 1/10*h**5 - h**3 + 1/8*h**4. Let t(m) be the first derivative of v(m). Factor t(o).
-3*(o - 2)*(o - 1)*(o + 1)
Let z(s) = 5*s**2 - 469*s - 934. Let p(u) = 9*u**2 - 939*u - 1870. Let h(t) = -6*p(t) + 11*z(t). Factor h(k).
(k + 2)*(k + 473)
Suppose -11*h + 18*h = 49. Let q = -4 + h. Factor 0 + 0*o**q + 0*o**2 + 1/2*o**5 - o**4 + 0*o.
o**4*(o - 2)/2
Factor 2/13*z**2 - 10/13*z - 3268/13.
2*(z - 43)*(z + 38)/13
Let w = 43165 - 302145/7. What is v in -2/7*v**2 - w*v - 8/7 = 0?
-4, -1
Let w(z) be the third derivative of -z**6/150 - 2*z**5/75 - z**4/30 - 613*z**2 - 1. Factor w(y).
-4*y*(y + 1)**2/5
Let s(m) be the second derivative of m**5/180 - m**4/108 - m**3/27 - 604*m - 2. Factor s(c).
c*(c - 2)*(c + 1)/9
Let j(d) be the second derivative of 3*d**5/100 + 41*d**4/20 - 22*d**3/5 - 126*d**2/5 + 9*d - 147. Factor j(h).
3*(h - 2)*(h + 1)*(h + 42)/5
Factor -192*x + 0 + 872/3*x**2 - 100*x**3 + 4/3*x**4.
4*x*(x - 72)*(x - 2)*(x - 1)/3
Let k(v) be the second derivative of 5*v**6/396 - v**5/30 - v**4/44 + 8*v**3/3 + 3*v + 37. Let p(r) be the second derivative of k(r). Factor p(j).
2*(j - 1)*(25*j + 3)/11
Factor 1/2 + 27/4*s**3 - 27/4*s - 1/2*s**2.
(s - 1)*(s + 1)*(27*s - 2)/4
Let s(n) = 6*n**3 + 6*n**2 - 21. Let u be s(4). Let x = -5959/13 + u. Factor -8/13*c**3 + x*c + 2/13*c**4 - 2/13*c**2 + 0.
2*c*(c - 4)*(c - 1)*(c + 1)/13
Let j(w) be the third derivative of -w**9/113400 - w**8/12600 - w**7/4725 - 31*w**4/12 + 13*w**2 - 3*w. Let m(t) be the second derivative of j(t). Factor m(o).
-2*o**2*(o + 2)**2/15
Let z(a) = -138*a**2 + 12973*a - 92. Let l be z(94). Solve -9/2 - 1/6*u**l - 14/3*u = 0.
-27, -1
Let q(k) be the second derivative of k**6/2340 - 2*k**5/195 + 7*k**4/156 + k**3/2 + 45*k**2/2 - k + 66. Let v(c) be the second derivative of q(c). Factor v(g).
2*(g - 7)*(g - 1)/13
Let b = -41 - -45. Suppose 4*c - b = 2*d, -3*d = -2*d - c. Solve -2*q**2 - 2*q + d + 2*q**2 + 2*q**2 + 6*q = 0 for q.
-1
Factor 8*u + 16*u**3 - 4*u**4 - 20*u**2 - 24625 + 24625.
-4*u*(u - 2)*(u - 1)**2
Let z(f) be the second derivative of 2*f - 7/54*f**4 - 1/135*f**6 - 1/18*f**5 - 1/9*f**3 + 0*f**2 - 23. Factor z(j).
-2*j*(j + 1)**2*(j + 3)/9
Let s(l) be the first derivative of 45*l**4/4 + 275*l**3 - 1220*l**2 + 1680*l - 35. Factor s(r).
5*(r + 21)*(3*r - 4)**2
Let h be (36/30)/((-2)/(-210)*6). Find s such that -5*s**2 + 18*s**3 + 5*s**4 - h*s + 16*s - 13*s**3 = 0.
-1, 0, 1
Let y(x) be the second derivative of -3*x**6/40 + 3*x**5/40 + 129*x**4/16 + 5*x**3 - 63*x**2/2 + 3*x + 115. Suppose y(c) = 0. Calculate c.
-6, -1, 2/3, 7
Suppose -2*y - 4 = 157*f - 159*f, -6 = -f + 3*y. Solve 4/5*g**2 + f*g**3 + 0 - 2/5*g + 2/5*g**5 - 4/5*g**4 = 0.
-1, 0, 1
Suppose 1620*v - 1625*v + 60 = 0. Suppose -5*u + 2*w = -2, -56*u + 5*w - v = -52*u. Solve -1/6 + 0*z**u + 1/6*z**4 + 1/3*z**3 - 1/3*z = 0 for z.
-1, 1
Let l(q) be the second derivative of 0*q**4 + 0*q**3 - 1/210*q**7 - 127*q + 0 - 11/150*q**6 - 1/10*q**5 + 0*q**2. Determine v, given that l(v) = 0.
-10, -1, 0
Factor -7569/4 + 3/4*r**3 - 183/4*r**2 + 3045/4*r.
3*(r - 29)**2*(r - 3)/4
Let f(m) be the second derivative of -m**6/135 - 94*m**5/45 - 1441*m**4/9 + 17860*m**3/27 - 9025*m**2/9 - 198*m. Factor f(o).
-2*(o - 1)**2*(o + 95)**2/9
Let w(s) be the third derivative of -s**5/78 - 17*s**4/156 + 18*s**3/13 - 109*s**2. Factor w(h).
-2*(h - 2)*(5*h + 27)/13
Find w, given that 1/2*w**2 - 81/2*w - 215 = 0.
-5, 86
Suppose 87*g - 5490 = -3*g. Suppose -5*j - 10 = 4*m, -3*j + g = -4*m + 35. Suppose -4/9*b - 2/9*b**3 + 2/3*b**j + 0 = 0. What is b?
0, 1, 2
Let h(m) = -9*m - 4*m + 7*m + 91 + 13*m. Let f be h(-13). Factor 0*p + 3/7*p**2 + f.
3*p**2/7
Suppose 28*k - 72 = 12. Factor -k*n + 43*n**3 - n - 1663*n**2 + 1687*n**2 + 15*n**4.
n*(n + 1)*(n + 2)*(15*n - 2)
Suppose -32*s + 69 = -9*s. Factor 255*t - s*t**2 - 5*t**2 + 260 + 4*t**2 - t**2.
-5*(t - 52)*(t + 1)
Let d(q) be the third derivative of -q**6/240 - 2*q**5/15 - 49*q**4/48 + 11*q**3/2 + 19*q**2 + q - 31. Factor d(p).
-(p - 1)*(p + 6)*(p + 11)/2
Let q = 153813 - 153811. Factor 1/4*j + 9/2 - 9/2*j**q - 1/4*j**3.
-(j - 1)*(j + 1)*(j + 18)/4
Let q(s) = -2*s**3 + 8059*s**2 + 10244*s + 2288. Let j(u) = -u**3 + 2015*u**2 + 2560*u + 572. Let x(v) = -15*j(v) + 4*q(v). Solve x(g) = 0.
-286, -1, -2/7
Suppose 434*n = 437*n - 6. Let f be 1/2 + (-5)/(-2). Factor n - f*g + 4*g + 2*g**2 + 3*g.
2*(g + 1)**2
Let b(m) be the second derivative of -11*m**4/12 - 65*m**3/6 - 27*m**2 - 82*m. Let d(u) = 10*u**2 + 66*u + 56. Let c(s) = -6*b(s) - 7*d(s). Factor c(f).
-4*(f + 1)*(f + 17)
Fac