third derivative of -u**6/120 + 23*u**5/20 - 45*u**4/8 + 67*u**3/6 - 1350*u**2. Suppose i(j) = 0. Calculate j.
1, 67
Let d be (-48)/96 - 830/(-1116). Let u = d - 2/93. Factor -u*p**2 + 2/9*p + 2/9 - 2/9*p**3.
-2*(p - 1)*(p + 1)**2/9
Let u = 154481 - 154479. Solve 5/2*c**3 - c**u + c**4 - 11/2*c - 3 = 0 for c.
-2, -1, 3/2
Solve -603/2*p + 303 - 3/2*p**2 = 0.
-202, 1
Let o(v) be the first derivative of 5*v**4/8 - 149*v**3 + 9855*v**2 + 24300*v - 5103. Factor o(q).
(q - 90)**2*(5*q + 6)/2
Let n(c) be the first derivative of -1/315*c**6 + 0*c**5 + 0*c**2 - 50*c - 2/63*c**3 - 47 + 1/42*c**4. Let d(z) be the first derivative of n(z). Solve d(g) = 0.
-2, 0, 1
Let d(r) be the second derivative of -r**5/20 + 15*r**4/4 - 136*r**3/3 + 114*r**2 + 1495*r. Factor d(h).
-(h - 38)*(h - 6)*(h - 1)
Let y(c) be the third derivative of -c**5/15 + 239*c**4/3 - 114242*c**3/3 + 2*c**2 - 267. Factor y(i).
-4*(i - 239)**2
Let t = -239328 + 239331. Solve 7/3*w**2 + 5/3*w - 1/3*w**4 - 2 - 5/3*w**t = 0.
-6, -1, 1
Suppose -4*t = k - 18, k - t + 5 = -2. Let z be (-3)/(-12)*k + 93/6. Factor 4*s**2 - z*s + 88 + 34*s + 29*s + 56.
4*(s + 6)**2
Let 1047/2*w**2 + 0 - 1/4*w**3 + 0*w = 0. Calculate w.
0, 2094
Let b be 5 - 4 - 192/(12/(-4)). Let x be ((-1)/3 - b/(-285))*-8. Factor 2/19*v**3 + 4/19*v**2 - x - 8/19*v.
2*(v - 2)*(v + 2)**2/19
Suppose -111/11*s + 0 + 1/11*s**3 + 10*s**2 = 0. What is s?
-111, 0, 1
Factor 1364/5 - 602/5*i + 2/5*i**3 - 44/5*i**2.
2*(i - 31)*(i - 2)*(i + 11)/5
Let m(x) = -8*x**2 + 449*x - 9686. Let n(l) = -7*l**2 + 446*l - 9684. Let w(o) = 2*m(o) - 3*n(o). Factor w(s).
5*(s - 44)**2
Factor -56 - 3*o - 4*o**3 - 8*o - 9*o + 123*o**2 - 51*o**2 - 40*o**2.
-4*(o - 7)*(o - 2)*(o + 1)
Let x(z) = -33*z + 2213. Let y be x(67). Let c(k) be the first derivative of 2/9*k**3 + 0*k - 1/4*k**y - 1/24*k**4 + 12. Find o, given that c(o) = 0.
0, 1, 3
Let o(f) be the second derivative of f**6/60 + 13*f**5/10 + 207*f**4/8 - 243*f**3/2 - 279*f + 1. Factor o(x).
x*(x - 2)*(x + 27)**2/2
Find w, given that -41/5*w**2 + 0 + 1/5*w**3 + 0*w = 0.
0, 41
Let d(a) be the second derivative of -5/6*a**3 - 39 - 3/5*a**2 - 3*a - 1/15*a**4. Find q such that d(q) = 0.
-6, -1/4
Let x(n) = -n**2 - n + 13. Let z(g) = g**4 + g**3 - 60*g**2 - 148*g + 239. Let q(p) = -3*x(p) + z(p). Factor q(s).
(s - 8)*(s - 1)*(s + 5)**2
Let b(t) be the first derivative of t**4/42 + 4*t**3/21 - 5*t**2/7 - 47*t + 3. Let f(o) be the first derivative of b(o). Determine y, given that f(y) = 0.
-5, 1
Let x(r) be the third derivative of -77/120*r**4 + 0 - 11/100*r**5 + 0*r - 1/1050*r**7 + 65*r**2 + 49/15*r**3 + 13/600*r**6. Find a, given that x(a) = 0.
-2, 1, 7
Let g(k) = -6*k - 1. Let c(l) = 2*l**2 - 140*l + 82. Let i(m) = -c(m) + 8*g(m). Let i(n) = 0. What is n?
1, 45
Let b(k) = k + 27. Let y be b(10). Let d = y + -32. Factor -10*q**2 - 529*q**3 - 2*q**d - q**4 + 547*q**3 - 5*q**4.
-2*q**2*(q - 1)**2*(q + 5)
Let i(v) be the third derivative of v**6/120 + 49*v**5/30 + 95*v**4/24 - 97*v**3/3 - v**2 + 2715. Determine k, given that i(k) = 0.
-97, -2, 1
Let c(d) be the third derivative of -149/15*d**5 + 46/3*d**4 - 40/3*d**3 + 32*d**2 + 0 + 52/15*d**6 - 58/105*d**7 + 0*d + 1/42*d**8. Solve c(w) = 0.
1/2, 1, 2, 10
Let q = 62 - 39. Factor -32*o + 6*o**2 + 51*o - q*o - 2*o**3.
-2*o*(o - 2)*(o - 1)
Let r(h) be the first derivative of -h**6/30 + 8*h**5/25 - 9*h**4/10 + 16*h**3/15 - h**2/2 + 722. Factor r(u).
-u*(u - 5)*(u - 1)**3/5
Let f be (-1 - (-34)/11) + 212/2650*-25. Solve f*d**3 - 1/11*d + 1/11*d**2 - 1/11*d**4 + 0 = 0 for d.
-1, 0, 1
Suppose 2*n = 5*m + 8, 4*m - 31 = -5*n - 11. Suppose m = -5*x - s + 6, 5*s + 2 + 10 = -4*x. Factor -45*v + 420*v**2 - 180*v**3 + 34*v + 180*v**x - 174*v + 15.
-5*(v - 3)*(6*v - 1)**2
Factor 6*u**2 + 2/3*u**3 - 32 - 80/3*u.
2*(u - 4)*(u + 1)*(u + 12)/3
Let q(a) be the first derivative of -26*a**3/27 - 35*a**2/9 + 32*a/3 - 2409. Factor q(p).
-2*(p - 1)*(13*p + 48)/9
Let r = 55688/5 + -55686/5. Solve 2/5*f**2 + r + f = 0.
-2, -1/2
Let f = -289 + 317. Let -4*d**2 + 2 + d**5 + f*d**3 - 71*d + 2*d**4 - 30*d**3 + 72*d = 0. Calculate d.
-2, -1, 1
Let l = -4/101 + 2399/52924. Let c = l - -259/524. Suppose -1/4*x**3 + 3/4*x + 0*x**2 + c = 0. What is x?
-1, 2
Let g(i) be the second derivative of -i**5/40 + 2075*i**4/8 - 4305625*i**3/4 + 8934171875*i**2/4 + 411*i + 3. Factor g(m).
-(m - 2075)**3/2
Factor 1966*s - 803189 - 4930*s + 66371 - 361344 - 283477*s**2 + 283475*s**2.
-2*(s + 741)**2
Let i = 1123 + -1105. Let l be 8/(-3)*i/288*-2. Let -1/3*y + l*y**2 + 1/3*y**3 - 1/3 = 0. Calculate y.
-1, 1
Let i be 5/(-10) + 2/((-4)/(-73)). Suppose 2*k + i = 4*k. Determine x so that k*x - 10*x - 15*x**2 + 20 - 41*x - 22*x = 0.
-4, 1/3
Factor 16/7*d**3 + 8*d + 0 + 76/7*d**2 - 4/7*d**4.
-4*d*(d - 7)*(d + 1)*(d + 2)/7
Let j be (9/1)/72*-4*0. Let l(i) be the third derivative of -20*i**2 + 1/480*i**5 - 1/32*i**4 + j + 0*i + 0*i**3. Factor l(z).
z*(z - 6)/8
Find p, given that -60 - 65*p**2 + 154*p**2 + 95*p - 69*p**2 - 9*p**4 - 90*p**3 - 5*p**5 + 24*p**4 + 25*p**4 = 0.
-1, 1, 3, 4
Suppose 0 = 20*j - 405 - 975. Let u be j + -71 - (-20)/9. Suppose -32/9 - u*o**2 + 16/9*o = 0. What is o?
4
Suppose -6*f - 17*f + 5635 = 0. Let -3*a**3 + 5*a**4 + 47*a**3 + 68*a + f + 16*a**3 - 488*a + 110*a**2 = 0. Calculate a.
-7, 1
Let p = -200573/8 + 25072. Factor -3/8*n + p + 3/8*n**3 - 3/8*n**2.
3*(n - 1)**2*(n + 1)/8
Suppose 3*x + 50 = 3*f + 4*x, 0 = -f + 2*x + 5. Suppose 0 = 5*a - 5 - f. Let -18*y**3 - 6*y**3 - a*y**2 + 8*y**5 - 4*y**3 - 4*y**4 + 8 + 20*y = 0. Calculate y.
-1, -1/2, 1, 2
Let c(d) be the third derivative of 0*d**5 + 0*d**4 - 1/560*d**8 + 67*d**2 + 0*d**3 + 0*d + 0 + 1/210*d**7 - 1/300*d**6. Determine m, given that c(m) = 0.
0, 2/3, 1
Factor 299/2*b - 24*b**2 + 1/2*b**3 - 246.
(b - 41)*(b - 4)*(b - 3)/2
Let k(n) be the second derivative of 14/15*n**6 - 32/3*n**3 + 3 - 2/21*n**7 - 19/5*n**5 + 25/3*n**4 + 3*n + 8*n**2. Factor k(g).
-4*(g - 2)**2*(g - 1)**3
Let a be (-36 - -38)*746/12 - (-6)/9. Factor a - 10*j + 1/5*j**2.
(j - 25)**2/5
Suppose -84050/3 - 820/3*h - 2/3*h**2 = 0. Calculate h.
-205
Let y = 11199 + -11194. Let d(m) be the second derivative of -y*m**2 - 20/3*m**4 - 33*m + 0 + 15/2*m**3 + 5/42*m**7 - m**6 + 7/2*m**5. Solve d(u) = 0.
1, 2
Suppose 0 = -44*m + 22*m + 198. Suppose -42*t = 3*t - 90. Solve 27/8 + 6*i**t + m*i = 0.
-3/4
Let b = -207 + 211. Determine u so that 0*u**4 + 2*u**3 + 3*u**2 - 8*u + 15*u**2 - 8 - 2*u**b - 2*u**4 = 0.
-2, -1/2, 1, 2
Let g(j) be the second derivative of -5*j**4/12 + 145*j**3/3 - 2585*j**2/2 + 305*j + 4. Suppose g(p) = 0. Calculate p.
11, 47
Let p = 397253 + -1986262/5. Suppose 0 - p*m**3 + 54/5*m**2 - 243/5*m = 0. What is m?
0, 9
Let v be (3/1)/(24 - (-9766)/(-418)). Factor -3/7*d**3 + 3*d**2 - v*d + 15/7.
-3*(d - 5)*(d - 1)**2/7
Let f be ((-21)/(-4))/((-66)/176) + 4. Let n be ((-168)/140)/(28/f). Factor 0 - n*k**2 - 6/7*k.
-3*k*(k + 2)/7
Let c(m) be the second derivative of -m**6/90 - m**5/20 + 5*m**4/18 + 4*m**3/3 - 2*m - 193. Let c(d) = 0. Calculate d.
-4, -2, 0, 3
Let b(u) = -29*u**2 + 3951*u - 4012. Let x(q) = -7*q**2 + 988*q - 1001. Let l(w) = 2*b(w) - 9*x(w). Factor l(o).
5*(o - 197)*(o - 1)
Let o(z) be the first derivative of 4*z**5/65 + 95*z**4/26 - 316*z**3/39 - 41*z**2 + 588*z/13 - 6214. Find s such that o(s) = 0.
-49, -2, 1/2, 3
Let g(a) = a**5 + 24*a**4 - a**3 - 36*a**2 + 12. Let r(i) = -25*i**4 + 35*i**2 - 10. Suppose 79 = -15*o + 154. Let k(t) = o*g(t) + 6*r(t). Factor k(l).
5*l**2*(l - 6)*(l - 1)*(l + 1)
Let c = 7030256/7 - 1004322. Suppose 1/7*r + 0*r**3 + 0 + c*r**4 - 2/7*r**2 - 1/7*r**5 = 0. What is r?
-1, 0, 1
Let b(n) be the second derivative of -1/7*n**2 - 2/21*n**3 - 1/5*n**5 + 1/21*n**6 + 0 - 78*n + 2/7*n**4. Factor b(q).
2*(q - 1)**3*(5*q + 1)/7
Let z = -6853849/34125 + 2611/13. Let a = 128633/10500 - z. Determine y, given that a*y**3 + 0 + 0*y**2 - y = 0.
-2/7, 0, 2/7
Suppose -3*m**5 + 0*m**5 + 49*m**4 - 387*m**2 - 297*m**3 - 112*m**4 - 30*m**2 - 95*m - 85*m = 0. What is m?
-15, -4, -1, 0
Let u(w) be the third derivative of 1/1008*w**8 - w**2 + 1/70*w**7 + 0*w - 1/3*w**5 + 14 - 32/3*w**3 - 28/9*w**4 + 2/45*w**6. Let u(s) = 0. What is s?
-4, -2, 3
Let s be (56/(-10))/(0 + (-6)/30). Determine m so that s*m - 3*m + 314 - 2*m**2 - 224 - m = 0.
-3, 15
S