, -13 = -o*u + h. Factor 1/3 - 2/3*z + 1/3*z**u.
(z - 1)**2/3
Let k(z) be the third derivative of -z**6/360 + 157*z**5/180 + 317*z**4/72 + 53*z**3/6 - 3740*z**2. Factor k(u).
-(u - 159)*(u + 1)**2/3
Let y(m) = 6*m**5 + m**4 + m. Let u(q) = 48*q**5 + 347*q**4 + 1486*q**3 + 1018*q**2 - 659*q - 520. Let t(j) = -u(j) + 5*y(j). Find l, given that t(l) = 0.
-13, -5, -1, -2/3, 2/3
Let j(s) = -7122*s + 370351. Let i be j(52). Factor -i*b**2 - 1/3*b**3 - 343/3 - 49*b.
-(b + 7)**3/3
Let z = 369 + -353. Find a such that 2*a**2 - 8*a**2 + 3*a**2 + 3 - 7 + 7*a**2 + z*a - 16*a**3 = 0.
-1, 1/4, 1
Let n(k) be the first derivative of 32*k**5/5 + k**4/2 - 32*k**3/3 - k**2 - 1790. Factor n(r).
2*r*(r - 1)*(r + 1)*(16*r + 1)
Let c(u) be the third derivative of -u**5/420 + 169*u**4/8 - 4406*u**2. Factor c(n).
-n*(n - 3549)/7
Let w be (2/(-8))/((-19)/228). Suppose -5*u = w*z - 6, 4*u + 4*z - 5*z = 15. Factor -13/7*y**2 + 6/7*y**u - 4/7 + 12/7*y - 1/7*y**4.
-(y - 2)**2*(y - 1)**2/7
Let j(z) be the second derivative of 15*z**2 + 53*z + 1/6*z**4 - 1 + 16/3*z**3. Find m, given that j(m) = 0.
-15, -1
Let d(t) be the second derivative of 71/2*t**2 - 1 + 12*t + 1/12*t**4 + 12*t**3. Suppose d(p) = 0. What is p?
-71, -1
Let o = 131241 - 131239. What is y in 260/7*y + 2/7*y**o + 8450/7 = 0?
-65
Suppose 87*t + 0*t + 3281 = 3455. Let -119/3*f**3 + 20/3*f**t + 20/3*f**5 - 23/3*f**4 + 4*f + 0 = 0. What is f?
-2, -1/4, 0, 2/5, 3
Let d(t) = 44*t**3 - 34*t**2 - 57*t - 9. Let v(o) = -5*o**3 + 2*o**2 + o + 1. Let b(i) = 2*d(i) + 18*v(i). Solve b(u) = 0 for u.
-12, -4, 0
Let x(f) be the third derivative of f**8/1440 - f**7/175 + f**6/450 - 73*f**5/60 - f**3/3 - 103*f**2. Let m(l) be the third derivative of x(l). Factor m(n).
2*(n - 2)*(35*n - 2)/5
Solve -3/2 - 257/8*o**2 + 29/2*o + 65/8*o**4 + 25/8*o**5 - 129/8*o**3 = 0.
-3, -2, 1/5, 2
Let c(b) = -48*b**3 + 717*b**2 + 711*b - 18. Let z(s) = 53*s**3 - 716*s**2 - 709*s + 20. Let d(i) = -10*c(i) - 9*z(i). Let d(v) = 0. What is v?
-1, 0, 243
Factor -4328/17 + 4330/17*k - 2/17*k**2.
-2*(k - 2164)*(k - 1)/17
Suppose 448 = 6*s - 110. Factor 100 - 95*k**2 + s*k**2 + 52*k + 46*k.
-2*(k - 50)*(k + 1)
Let l(f) be the third derivative of -f**7/2520 + f**6/240 - f**5/60 - 35*f**4/12 + 2*f**2 - 16. Let k(r) be the second derivative of l(r). Factor k(j).
-(j - 2)*(j - 1)
Let s(o) = o**3 - 41*o**2 + 47*o - 278. Let h be s(40). Suppose -2*i = -2*t - 4*i + 12, -6 = t - 5*i. Factor t*l**2 + 2*l - 4*l**4 + 0*l + 0*l**5 - h*l**5.
-2*l*(l - 1)*(l + 1)**3
Let a = 646 - 642. Suppose a*q = 4*g, 5*g + 17 - 25 = q. Find m, given that -2/5*m**q + 2*m + 0 = 0.
0, 5
Factor -99/4 - 69/4*x + 1/4*x**3 + 31/4*x**2.
(x - 3)*(x + 1)*(x + 33)/4
Suppose -530 = -11*i + 42. Let f = i + -50. Suppose 0 + 0*s**3 + 2/5*s**4 - 2/5*s**5 + 0*s + 0*s**f = 0. What is s?
0, 1
Suppose -374*m = -332*m - 126. Let f(v) be the first derivative of -45/2*v**2 + 2 + 75*v - 9*v**m - 3/4*v**4. Factor f(a).
-3*(a - 1)*(a + 5)**2
Let b(k) be the first derivative of -2*k**4/7 - 454*k**3/21 + 289*k**2/7 - 116*k/7 + 232. Solve b(s) = 0.
-58, 1/4, 1
Let c be 1/(3/8)*(-11451)/(-76340). Factor c*f**2 + 6/5 + 8/5*f.
2*(f + 1)*(f + 3)/5
Let p be 2 - 0/((0/(-4) - -4)*-2). Let -8/5 - 4*j + 12/5*j**p = 0. Calculate j.
-1/3, 2
Let u(q) be the first derivative of -q**4/4 - 4*q**3 - 16*q**2 + 4*q + 104. Let f be u(-8). Factor 3/2*m**f + 0 - 9/2*m**2 + 0*m**3 - 3*m.
3*m*(m - 2)*(m + 1)**2/2
Factor 0 - 778/3*o**2 - 2/3*o**3 + 0*o.
-2*o**2*(o + 389)/3
Let f(c) = 6*c**3 - c - 1. Let n(t) = t**4 + 51*t**3 + 54*t**2 - 6*t - 6. Let v(a) = -6*f(a) + n(a). Determine m, given that v(m) = 0.
-9, -6, 0
Solve 0 - 3/4*x**2 - 939/4*x = 0 for x.
-313, 0
Let t be (-49*72/(-588))/(57/2). Let w be 4 + -2 + (-2 - -2). Let -6/19*i - t - 2/19*i**w = 0. What is i?
-2, -1
Let m(a) = 2*a**2 + 4*a - 3. Let j be m(-3). Let u be 10/(-35)*-7 + (-3 - -3). Determine l so that 8*l - 7*l + 4*l**2 + 64 + 15*l - j*l**u = 0.
-8
Let q be (-6 - (0 + -2)) + (17 - 21). Let j(g) = -g**3 - g**2 + 1. Let k(y) = 4*y - 10 + 2*y**2 - 6*y**3 - y + 3*y. Let x(s) = q*j(s) + k(s). Factor x(a).
2*(a - 1)*(a + 3)**2
Let k = 1161845/4 + -290460. Factor 13/4*v + k*v**2 + 7/4 - 1/4*v**3.
-(v - 7)*(v + 1)**2/4
Let w(v) be the first derivative of 0*v**2 - 3/4*v**4 + 81 - 1/15*v**5 + 0*v + 10/9*v**3. Factor w(d).
-d**2*(d - 1)*(d + 10)/3
Let g(b) be the second derivative of 7/130*b**5 - 3/13*b**2 + 29/78*b**4 - 2/65*b**6 + 67*b + 1/3*b**3 - 2. Suppose g(n) = 0. What is n?
-1, 1/6, 3
Let v(s) = -64*s**2 - 4888*s - 4908. Let m(z) = 27*z**2 + 1955*z + 1963. Let w(t) = -12*m(t) - 5*v(t). Factor w(g).
-4*(g - 246)*(g + 1)
Let p(g) be the second derivative of g**6/240 + g**5/15 + 3*g**4/16 - 3*g**3/2 + 37*g**2/2 + 78*g. Let a(x) be the first derivative of p(x). Factor a(f).
(f - 1)*(f + 3)*(f + 6)/2
Let j = -1226806015 + 47363299848323/38607. Let f = 2/2271 + j. Factor -f - 2/17*d**2 - 10/17*d.
-2*(d + 2)*(d + 3)/17
Let o(s) be the second derivative of 1/20*s**5 - 1/3*s**2 - 1/6*s**3 + 1/36*s**4 + 1/90*s**6 + 0 + 94*s. Let o(p) = 0. What is p?
-2, -1, 1
Let y = 425 + -419. Let v(s) = s**2 - s - 4. Let l be v(3). Determine r, given that -y*r**l + 0*r**2 - 9*r + 2*r**3 + 6*r + 7*r = 0.
0, 1, 2
Let y be ((-8)/(-6))/(1309/(-53856)*-8). Factor -6/7*v**2 - 20/7*v + 2/7*v**3 + y.
2*(v - 4)*(v - 2)*(v + 3)/7
Let h = -16 - -14. Let j(n) = 5*n**2 + 4*n - 2. Let i be j(h). Let -i - 5*d**3 - 24*d - 16*d**2 - 4*d**2 - d = 0. Calculate d.
-2, -1
Suppose 9/2*t**3 - 25/2*t**2 + 27/2*t - 1/2*t**4 - 5 = 0. Calculate t.
1, 2, 5
Suppose -4*n + 14 = 2. Determine m so that 4*m**2 + 4*m - 4*m**5 - n*m**2 + 10*m**4 - 11*m**2 = 0.
-1, 0, 1/2, 1, 2
Let x(a) be the third derivative of a**6/80 + 81*a**5/40 + 159*a**4/16 + 79*a**3/4 + 119*a**2 + 3*a. Suppose x(v) = 0. What is v?
-79, -1
Let k be 962/4810*(-50)/(-8). Solve -k - 1/8*c**2 + 7/8*c = 0.
2, 5
Let h(n) be the second derivative of -3*n**5 + 228*n + 1/10*n**6 - 90*n**3 + 59/2*n**4 + 243/2*n**2 + 0. Factor h(m).
3*(m - 9)**2*(m - 1)**2
Suppose 2 = 6*h - 5*h + t, 2*t - 4 = 0. Let g(a) be the first derivative of 1/4*a**4 + 0*a + 5 - 1/2*a**2 + h*a**3. Factor g(m).
m*(m - 1)*(m + 1)
Let x(h) be the first derivative of -h**4/10 - 8*h**3/5 - 41*h**2/5 - 12*h + 356. Find z, given that x(z) = 0.
-6, -5, -1
Suppose 3*g + 9*n - 9 = 6*n, 5*n = -4*g + 8. Let p be (-5)/((-30)/(-24)) + g. Find z such that 4/3 + 2/3*z**p + 1/3*z**4 - z**2 - 4/3*z = 0.
-2, 1
Let c(w) be the third derivative of w**5/60 - 163*w**4/24 - 83*w**3 - 5*w**2 + 474. Factor c(k).
(k - 166)*(k + 3)
Let s(g) be the first derivative of 1/12*g**3 - 1/4*g - 62 - 1/8*g**2 + 1/16*g**4. Suppose s(m) = 0. Calculate m.
-1, 1
Let l be 6/(-4)*(-68)/(-20349). Let f = l + 311/133. Find x such that 1/9 + 64/3*x**5 + f*x + 496/9*x**4 + 145/3*x**3 + 151/9*x**2 = 0.
-1, -1/3, -1/8
Let b = -2/5193 + 25969/10386. Let h(y) be the third derivative of 0*y + 0 + 1/12*y**5 + 5/6*y**4 + 16*y**2 + b*y**3. What is z in h(z) = 0?
-3, -1
Let h be (-6)/(-22) + 459/11. Suppose 42 = -21*j + h. Determine q so that 0 + j*q - 5/4*q**4 + 0*q**2 - 5/4*q**3 = 0.
-1, 0
Let h(t) be the first derivative of 26*t**3/15 + 2*t**2 + 757. Solve h(d) = 0 for d.
-10/13, 0
Let i(r) be the third derivative of r**6/180 + 13*r**5/30 + 143*r**4/36 + 35*r**3/3 + 771*r**2. Solve i(a) = 0.
-35, -3, -1
Factor 28/5 + 27/5*g - 1/5*g**2.
-(g - 28)*(g + 1)/5
Let b = -1/54280 + 390817/54280. Factor -4/5*g**4 + b*g**3 + 28*g + 132/5*g**2 + 48/5.
-4*(g - 12)*(g + 1)**3/5
Let c(b) = -10*b + 83. Let x be c(8). Factor 114*o**x + 78*o + o**5 - 224*o**2 - 19*o**4 - 31*o + 81*o.
o*(o - 8)**2*(o - 2)*(o - 1)
Suppose 114 = -7*p - 348. Let s = 66 + p. Let 9/8*m**4 + 0*m**2 + 3/8*m**5 + 0*m + 0 + s*m**3 = 0. What is m?
-3, 0
Suppose 12*u - 176*u**2 - 262*u**2 + 498*u**2 + 75*u**3 = 0. What is u?
-2/5, 0
Let a(o) be the third derivative of -o**6/180 - 7*o**5/45 - 5*o**4/3 - 8*o**3 - 729*o**2. Factor a(c).
-2*(c + 2)*(c + 6)**2/3
Let i(c) = -3*c + 15. Let h be i(2). Suppose -9 = -h*a + 36. Factor -4900*r + 1372 + 6*r**5 + 157*r**4 + 1432*r**3 + 1848*r**2 + 79*r**4 + 7*r**a - r**5.
4*(r - 1)*(r + 7)**3*(3*r - 1)
Let y(x) be the second derivative of 1/6*x**6 + 25/6*x**3 + 0 - 1/4*x**5 - 203*x - 5/4*x**4 - 5*x**2. Find w such that y(w) = 0.
-2, 1
Suppose -n -