lculate n.
2/3, 2
Let f(k) be the first derivative of -k**4/22 + 32*k**3/33 - 79*k**2/11 + 240*k/11 + 474. Factor f(d).
-2*(d - 8)*(d - 5)*(d - 3)/11
Let x(h) = -7*h**4 + h**3 + h + 9. Let r(u) = 9*u**4 - 761*u**3 + 72954*u**2 - 142885*u - 9. Let m(b) = 2*r(b) + 2*x(b). Factor m(j).
4*j*(j - 189)**2*(j - 2)
Let v(k) = -72*k**3 + 5*k + 4. Let d be v(-1). Find h, given that 55*h**3 - 25*h**2 + 12*h - 60 - 81*h - d*h = 0.
-1, -6/11, 2
Let l be ((-1)/14*(-6)/(-1))/(809 + -810). What is z in 6/7 + 0*z**2 + l*z**3 - 9/7*z = 0?
-2, 1
Let y(u) be the first derivative of -2*u**3/45 - 183*u**2/5 - 2188*u/15 - 1854. Solve y(k) = 0.
-547, -2
Let g(r) be the third derivative of -r**5/120 - 35*r**4/8 - 3675*r**3/4 + 2331*r**2. Factor g(w).
-(w + 105)**2/2
Let i(w) be the second derivative of 3*w**5/110 - 3378*w**4/11 + 15214512*w**3/11 - 34263081024*w**2/11 + 11778*w. Find t, given that i(t) = 0.
2252
Let n(h) = -21*h - 801. Let v be n(21). Let c = -1239 - v. Factor -9/7*q - 3/7*q**c + 3/7 + 9/7*q**2.
-3*(q - 1)**3/7
Let g be (-1032)/215 - (7/2)/(-7)*10. Solve 8/5*w - 9/5 + g*w**2 = 0.
-9, 1
Let q(v) be the first derivative of -v**5/90 + v**4/18 - v**3/9 + v**2/9 + 84*v + 65. Let d(t) be the first derivative of q(t). Solve d(s) = 0 for s.
1
Suppose -3*q + 0*q + 2*l = -20, -2*l + 10 = 0. Let c be (q/(-15))/((-2)/6). Factor 57*v - 234 - 22*v + 15*v**c + 204.
5*(v + 3)*(3*v - 2)
Let q(w) be the second derivative of w**5/90 + w**4/3 - 220*w**3/9 + 3800*w**2/9 + 400*w + 3. Determine u so that q(u) = 0.
-38, 10
Let i = -349/3 - -350/3. Let m(z) be the third derivative of 0*z**5 + 0*z + 2/3*z**3 - 6*z**2 + i*z**4 - 1/15*z**6 + 0 - 2/105*z**7. Factor m(t).
-4*(t - 1)*(t + 1)**3
Let r(x) be the first derivative of -9*x + 2/3*x**3 - 3/4*x**2 + 117 + 1/8*x**4. Find t, given that r(t) = 0.
-3, 2
Let g be (-90)/72*16/(-25). Let a(d) be the second derivative of -23*d + 1/75*d**6 + g*d**2 + 13/30*d**4 + 3/25*d**5 + 0 + 4/5*d**3. Factor a(v).
2*(v + 1)**2*(v + 2)**2/5
Let k(l) = -4*l - 63. Let z = -87 - -69. Let t be k(z). Solve 2*a**3 - 8 + t - 10*a**2 + 6*a + 17 = 0 for a.
-1, 3
Let j(y) be the first derivative of 32/19*y - 200/19*y**2 - 31 - 150/19*y**4 + 72/95*y**5 + 1346/57*y**3. Suppose j(k) = 0. What is k?
1/6, 4
Let m(v) be the second derivative of v**9/1512 - v**8/140 + v**7/84 - 73*v**3/6 + 47*v. Let s(g) be the second derivative of m(g). Find p such that s(p) = 0.
0, 1, 5
Let s(j) = -2*j - 24. Let x be s(-10). Let g be 16/x*-1 - 1. Find t such that -17*t**2 - t**3 - 2 + 11*t**2 + 10 - t**g = 0.
-2, 1
Let j(i) = -i + 141. Let r be j(3). Suppose -36*a - 33*a = -r. Find v, given that -1/3 + 1/6*v + 1/2*v**a - 1/6*v**4 - 1/6*v**3 = 0.
-2, -1, 1
Let d = 1344 - 1319. Let y(x) be the second derivative of -1/3*x**3 - 1/2*x**2 - d*x + 0 - 1/12*x**4. Factor y(g).
-(g + 1)**2
Let f(z) = -11*z**3 - 108*z**2 - 87*z. Let b(a) = 10*a - 6*a**3 - 52*a + 84*a**2 - 138*a**2. Let w(y) = -5*b(y) + 3*f(y). Factor w(d).
-3*d*(d + 1)*(d + 17)
Let w = 373/2 - 5593/30. Let y(c) be the third derivative of 24*c**2 + 24*c**3 + 0*c + 0 - 2*c**4 + w*c**5. Factor y(k).
4*(k - 6)**2
Let p(x) = -17*x + 82. Let n be p(4). Factor n - 2*v**2 + 14 + 12 + 2*v + 0.
-2*(v - 5)*(v + 4)
Let x be 9 - 49/(-35) - (-10)/(-40)*40. Suppose x*n**2 - 4/5 - 2/5*n = 0. What is n?
-1, 2
Let b(x) be the second derivative of 11*x**4/4 + 20*x**3 + 121*x + 5. Factor b(w).
3*w*(11*w + 40)
Find k, given that 265/3*k - 5/3*k**2 - 400 = 0.
5, 48
Let p be (-10 - -17) + -3 + 0. Let w(v) be the second derivative of v**3 + 5*v + 3/2*v**2 + 1/4*v**p + 0. Factor w(l).
3*(l + 1)**2
Let y(u) = 10*u**2 + 3480*u - 3490. Let t(n) = -5*n**2 - 1740*n + 1745. Let v(r) = -5*t(r) - 2*y(r). Factor v(m).
5*(m - 1)*(m + 349)
Let q(r) be the second derivative of -3*r**5/70 + 31*r**4/42 - 32*r**3/21 - 36*r**2/7 + 796*r - 1. Factor q(a).
-2*(a - 9)*(a - 2)*(3*a + 2)/7
Let d be (-5)/((-90)/(-8))*(-75)/100. Let p(n) be the second derivative of d*n**4 + 0*n**2 + 4/3*n**3 - 2/3*n**7 + 38/15*n**6 + 20*n + 0 - 3*n**5. Factor p(r).
-4*r*(r - 1)**3*(7*r + 2)
Suppose 63*h + 189 = 1071. Let w(k) be the third derivative of 2/3*k**3 + 0 + 1/45*k**5 + h*k**2 + 2/9*k**4 + 0*k. Solve w(x) = 0.
-3, -1
Let s = 269502 + -269502. Factor 3/2*k**2 + 3/8*k**3 + 0 + s*k.
3*k**2*(k + 4)/8
Let r(s) be the third derivative of -37/15*s**5 + 2*s**4 + 13/10*s**6 + 1/84*s**8 - 2/7*s**7 + 0*s**3 - 6*s**2 + 0 + 8*s. Let r(t) = 0. What is t?
0, 1, 12
Find b, given that -b**4 - 237013*b**2 + 237234*b**2 + 0*b**4 + 111*b + 109*b**3 = 0.
-1, 0, 111
Let l = 1135759 + -5678792/5. Factor 0 - 6/5*p + l*p**2.
3*p*(p - 2)/5
Let w(m) be the second derivative of m**6/10 + 3*m**5/2 + 5*m**4 - 5*m**3 - 63*m**2/2 - 932*m. Suppose w(g) = 0. What is g?
-7, -3, -1, 1
Let x(u) = 32. Let b(t) = -4*t**2 - 100*t - 944. Let q(z) = -b(z) - 19*x(z). Factor q(j).
4*(j + 4)*(j + 21)
Suppose -79 = -2*a - 5*j + 8*j, -4*a + 3*j + 167 = 0. Determine x, given that -x**5 - 200*x**2 - a*x**3 - 8*x**4 + 5*x**3 - 110*x**3 + 9*x**3 - 14*x**4 = 0.
-10, -2, 0
Let y = 7027 + -7018. Factor 3/2*u**2 - y - 3/2*u.
3*(u - 3)*(u + 2)/2
Let h(m) be the first derivative of -m**5/5 - 11*m**4/4 + 38*m**3/3 + 168*m**2 + 288*m + 3224. Find y such that h(y) = 0.
-12, -4, -1, 6
Let i be -9*(5 + (-104)/18). Let o(g) be the first derivative of -1/5*g**2 - 2/5*g**3 + i + 0*g - 3/10*g**4 - 2/25*g**5. Let o(n) = 0. Calculate n.
-1, 0
Let o = 9201/129010 + 1/9215. Let d(q) be the second derivative of -9/140*q**5 + 1/14*q**3 + 0*q**2 + o*q**4 + 0 + 4*q. Let d(m) = 0. Calculate m.
-1/3, 0, 1
Factor -137388 - 3/4*n**2 + 642*n.
-3*(n - 428)**2/4
Let s(c) be the third derivative of c**6/180 - 859*c**5/90 + 183175*c**4/36 + 185761*c**3/3 + 614*c**2. Find g such that s(g) = 0.
-3, 431
Let y(d) be the first derivative of -14*d**4 + 263*d**3/3 + 44*d**2 - 15*d + 1291. What is k in y(k) = 0?
-3/7, 1/8, 5
Let b(w) be the first derivative of w**4/30 - 4*w**3/15 + 3*w**2/5 - 27*w - 86. Let m(x) be the first derivative of b(x). Factor m(a).
2*(a - 3)*(a - 1)/5
Let k(n) be the first derivative of -128/3*n - 50 - 16/3*n**2 - 2/9*n**3. What is d in k(d) = 0?
-8
Let d(r) = 42*r**2 - 8*r - 12. Let m be d(-3). Suppose 4*v**2 - 5*v + 2*v**2 + 10 + 5*v**3 - 385*v**4 + m*v**4 - 21*v**2 = 0. Calculate v.
-2, -1, 1
Suppose i + 126 = 124, -i + 63 = 5*d. Let z(b) be the second derivative of 3/2*b**3 + 3*b**2 + 1/4*b**4 + 0 - d*b. Factor z(y).
3*(y + 1)*(y + 2)
Factor -132 + 2*x**3 + 535/2*x**2 + 461*x.
(x + 2)*(x + 132)*(4*x - 1)/2
Let j be 184/9660 + 788/2730. Factor -2/13*l**3 + j*l + 0 - 2/13*l**2.
-2*l*(l - 1)*(l + 2)/13
Let m(x) be the second derivative of -x**5/35 + 19*x**4/3 - 8432*x**3/21 - 27744*x**2/7 + 937*x. What is z in m(z) = 0?
-3, 68
Let h = -206793/91 + -864103/2093. Let y = h - -2686. Solve -8/23*x + 4/23*x**2 + 2/23*x**3 - y = 0.
-2, 2
Let y(b) = -6*b**2 + b + 6. Let i be y(2). Let l be 3 + ((-26)/208 - (-14)/i). Let -1/6 - 1/6*r**l + 1/3*r = 0. What is r?
1
Let m(i) be the third derivative of 0 - 7/60*i**5 - 22*i**2 + 0*i**3 - 1/3*i**4 + 1/120*i**6 + 0*i. Suppose m(t) = 0. What is t?
-1, 0, 8
Let p(c) be the first derivative of -c**4/20 + 13*c**2/10 - 12*c/5 + 317. Factor p(f).
-(f - 3)*(f - 1)*(f + 4)/5
Let z(d) be the first derivative of -d**3/7 - 87*d**2/7 - 1656*d/7 + 2926. Find n, given that z(n) = 0.
-46, -12
Let u = -266 + 271. Determine f, given that 77*f**4 - 28*f**4 - 6*f - 29*f**4 - 25*f**4 + f**5 + u*f**2 + 5*f**3 = 0.
-1, 0, 1, 2, 3
Let s be (33 - (-14952)/(-456))*133/14. Factor -s + 1/4*p**2 + 7/4*p.
(p - 1)*(p + 8)/4
Let n = 131 + -128. Find h such that -1376*h**2 - 868*h**n - 356*h**3 - 162*h**4 - 112 + 355*h + 445*h + 16 = 0.
-6, -2, 2/9
Let b(n) be the second derivative of -17*n**4/16 + 101*n**3/12 + n**2 - 357*n. Determine c so that b(c) = 0.
-2/51, 4
Solve 8112*g**4 - 8107*g**4 + 15*g**3 + 5*g**2 - 10 - 2*g - 13*g = 0.
-2, -1, 1
Suppose 8*i - 56 = -3*w + 13*i, 68 = 4*w - 5*i. Suppose -n + 2*k = 7*k + 13, 0 = 4*k + w. Suppose -3/4*f + 3/4*f**n + 0 = 0. What is f?
0, 1
Factor -8*b**4 + 0*b + 324/13*b**2 + 0 + 6/13*b**5 + 414/13*b**3.
2*b**2*(b - 9)**2*(3*b + 2)/13
Let b(k) be the first derivative of -3*k**4/8 + k**3/2 + 771*k**2/4 + 765*k/2 - 1875. Let b(l) = 0. What is l?
-15, -1, 17
Let m be 2/(-5)*((-124)/217 - 657/