9. Let v(b) = 46*m(b) + 6*t(b). What is g in v(g) = 0?
-1, 164
Let f(o) = -3*o**3 - 37*o**2 + 10*o - 5. Let v(u) = -4*u**3 - 56*u**2 + 16*u - 8. Let g(k) = 8*f(k) - 5*v(k). What is j in g(j) = 0?
-4, 0
Let t(o) be the third derivative of o**7/280 - 19*o**5/80 - 15*o**4/16 - 7*o**2 + 48*o. Suppose t(d) = 0. What is d?
-3, -2, 0, 5
Suppose 16*b = 14*b + 4. Let o(n) be the first derivative of -100/3*n + 10/3*n**b - 1/9*n**3 - 15. Determine h, given that o(h) = 0.
10
Let m(o) be the second derivative of -5*o**4/12 + 100*o**3 + 1890*o**2 + 19*o - 113. Factor m(n).
-5*(n - 126)*(n + 6)
Let i(a) = 6*a**3 - 80*a**2 - 58*a. Let k(g) = 5*g**3 - 79*g**2 - 60*g. Let y(w) = 6*i(w) - 7*k(w). Suppose y(x) = 0. What is x?
-72, -1, 0
Let p(y) be the first derivative of y**6/15 + 87*y**5/25 - 5*y**4/2 - 53*y**3/3 - 21*y**2/5 + 88*y/5 + 5742. Determine d so that p(d) = 0.
-44, -1, 1/2, 2
Let d(i) = -3*i**2 - 34*i + 1. Let o be d(-11). Solve 2*z**5 - 8*z**3 + 10*z**4 + 4*z + 6*z - 4*z**2 - 4*z**3 - o*z**4 + 6 = 0.
-1, 1, 3
Factor -240*k**3 + 484*k**3 + 108*k - 220*k**3 - 135*k**2 + 3*k**4.
3*k*(k - 3)*(k - 1)*(k + 12)
Let n(q) be the third derivative of -q**7/1680 - q**6/80 - q**5/30 + 17*q**3/2 - 57*q**2. Let z(p) be the first derivative of n(p). Factor z(w).
-w*(w + 1)*(w + 8)/2
Let h(p) = -p**2 - p. Let m(n) = 8*n**2 + 15*n + 12. Suppose 0 = 3*f, -34 - 22 = 4*z - 2*f. Let j(q) = z*h(q) - 2*m(q). Determine k so that j(k) = 0.
-6, -2
Let w be (-13)/(-39)*(-65)/49. Let m = 11/49 - w. Factor m*k**2 + 0 + 8/3*k.
2*k*(k + 4)/3
Let t(j) be the first derivative of 7*j**3 - 15147*j**2/2 + 4326*j + 3617. Factor t(p).
3*(p - 721)*(7*p - 2)
Suppose 184 = 12*o + 4. Let -35*w**4 + o*w + 0*w - 15*w**3 + 19*w**2 + 16*w**2 = 0. What is w?
-1, -3/7, 0, 1
Suppose 32 = 11*t - 12. Suppose w - t = 0, 3*d - 7*d - w + 20 = 0. Solve -2*a**d + 4*a**4 + 14*a**3 - 6*a**3 - a**4 = 0.
-8, 0
Let x(k) = 11*k - 130. Let h be 7/2*768/224. Let z be x(h). Factor 3/5*l**3 + 24/5*l**z + 48/5*l + 0.
3*l*(l + 4)**2/5
Factor 4*q**5 - 49*q**3 - 25*q**4 - 88*q**3 + 25*q**3 - 128*q**2 + 45*q**4.
4*q**2*(q - 4)*(q + 1)*(q + 8)
Let c = -2533 - -1696. Let l = 840 + c. Factor 2/5 - 7/5*b + 3/5*b**l + 2/5*b**2.
(b - 1)*(b + 2)*(3*b - 1)/5
Let d(z) = -z**4 - 175*z**3 - 156*z**2 + 340*z + 8. Let h(r) = 3*r**4 + 350*r**3 + 313*r**2 - 680*r - 14. Let x(q) = -7*d(q) - 4*h(q). Factor x(a).
-5*a*(a - 1)*(a + 2)*(a + 34)
Let y(n) be the second derivative of -n**7/336 - n**6/80 + 9*n**5/160 - 5*n**4/96 + 16*n + 64. Factor y(q).
-q**2*(q - 1)**2*(q + 5)/8
Let 6441*z**2 + 283*z**3 - 2*z**5 + 154*z**4 - 6283*z**2 + 31*z**3 = 0. What is z?
-1, 0, 79
Suppose -223*i - 29*i - 837*i + 2936 = -10132. What is h in -13*h**2 + 49/2*h - i + 1/2*h**3 = 0?
1, 24
Suppose 23 - 17 = 4*y - 2*z, 0 = -5*y + 5*z. Factor -543*m**y - 4*m**4 - 3*m**2 + 1089*m**3 + 8*m**4 + 5*m - 1 - 551*m**3.
(m - 1)**2*(m + 1)*(4*m - 1)
Let 125/3*a - 1/3*a**2 + 254/3 = 0. Calculate a.
-2, 127
Let c = 2607/2 + -7817/6. Factor -8*n + c*n**2 + 40/3.
2*(n - 10)*(n - 2)/3
Let w(c) be the second derivative of -c**9/26460 + c**8/1680 - c**7/294 + c**6/140 + 27*c**4/4 + c - 9. Let r(q) be the third derivative of w(q). Factor r(j).
-4*j*(j - 3)**2*(j - 1)/7
Suppose -34*i + 35*i - 28 = 5*b, 5*i = 5*b + 20. Let l be b/(-5)*(-5 + 64/12). Let -l*n**2 + 32/5*n - 128/5 = 0. What is n?
8
Let k(w) be the first derivative of -w**3 - 171*w**2/2 + 354*w + 958. Factor k(i).
-3*(i - 2)*(i + 59)
Let v(f) be the first derivative of -f**2 + 1/48*f**4 + 0*f - 7/40*f**5 - 11 + 1/6*f**3. Let l(z) be the second derivative of v(z). Factor l(p).
-(3*p - 1)*(7*p + 2)/2
Let w(x) be the third derivative of x**7/15120 + 11*x**6/4320 - x**5/60 - 8*x**4/3 - 13*x**2 + 2*x. Let y(z) be the second derivative of w(z). Factor y(t).
(t - 1)*(t + 12)/6
Let x(g) = 15*g**2 - 9083*g - 9042. Let i(a) = 10*a**2 - 6055*a - 6030. Let k(j) = 8*i(j) - 5*x(j). Solve k(t) = 0 for t.
-1, 606
Suppose 165 = -116*w + 61*w. Let h be 2*((-6 - -2) + (-16)/w). Factor -7/3*s + h - 1/3*s**2.
-(s - 1)*(s + 8)/3
Let k(t) be the third derivative of 529/2*t**3 + 0*t - 23/4*t**4 + 18 + t**2 + 1/20*t**5. Solve k(x) = 0.
23
Let u(o) = -5*o + 142. Let c = 92 + -64. Let t be u(c). Determine h, given that 0 + 2/13*h + 6/13*h**t + 4/13*h**3 = 0.
-1, -1/2, 0
Let o(r) be the second derivative of -r**7/21 + 26*r**6/15 - 187*r**5/10 + 37*r**4/3 + 1952*r**3/3 + 1664*r**2 + 135*r. Let o(g) = 0. What is g?
-2, -1, 8, 13
Determine o, given that -272/3*o**2 + 62/3*o**4 + 0*o + 212/3*o**3 - 2/3*o**5 + 0 = 0.
-4, 0, 1, 34
Factor -13/2*v**4 + 96*v**2 - 8*v**3 + 0 - 1/2*v**5 + 0*v.
-v**2*(v - 3)*(v + 8)**2/2
Let h = 80751 + -80749. Determine p so that -16/5*p**3 + 2/5*p**5 + 14/5*p + 4/5*p**h - 8/5 + 4/5*p**4 = 0.
-4, -1, 1
Let b = -11/122 - -83/244. Let d(a) be the first derivative of 0*a + 25 - b*a**3 - 1/20*a**5 + 3/16*a**4 + 1/8*a**2. Factor d(v).
-v*(v - 1)**3/4
Let n = 1045 - 1034. Suppose 74 = n*m + 19. Suppose 5*o**4 - 5/2 + 5*o**3 + 5/4*o**m - 25/4*o - 5/2*o**2 = 0. What is o?
-2, -1, 1
Let v(b) be the second derivative of -3*b**5/40 + 953*b**4/8 - 226575*b**3/4 - 682587*b**2/4 + 6250*b. What is c in v(c) = 0?
-1, 477
Let l(f) = -f**2 - 487*f + 4973. Let b be l(10). Let 216/7*w + b*w**2 + 60/7 = 0. Calculate w.
-10, -2/7
Let n(p) be the third derivative of -1/112*p**8 + 4*p**3 - 107*p**2 - 1/2*p**5 + 0*p + 1/35*p**7 - 1/2*p**4 + 0 + 1/8*p**6. Find j, given that n(j) = 0.
-2, -1, 1, 2
Let g(a) be the second derivative of 0 - 16*a + 1800*a**3 + 1/5*a**5 - 30*a**4 - 54000*a**2. Determine n so that g(n) = 0.
30
Let q = 14394/35885 + -8/7177. Suppose -12/5 + q*l**2 - 2/5*l = 0. Calculate l.
-2, 3
Let p be ((-605)/(-374))/55*0. Factor p - 3*g**3 + 15/7*g**2 + 6/7*g.
-3*g*(g - 1)*(7*g + 2)/7
Let u(o) be the second derivative of o**4/21 - 1604*o**3/21 + 321602*o**2/7 - 186*o + 3. Factor u(j).
4*(j - 401)**2/7
Factor -17/2*b**2 - 1/2*b**3 + 0 + 0*b.
-b**2*(b + 17)/2
Let h = -3297 + 303321/92. Let s = h - -13/46. Factor -5/4*u - 1/2*u**2 + s*u**5 + u**3 - 1/2 + u**4.
(u - 1)*(u + 1)**3*(u + 2)/4
Suppose -32*m = -30*m - 40. Let d = -41 + 45. Factor 12*h**3 + 0*h**3 - 12*h**d - m*h**2 + 17*h**2.
-3*h**2*(2*h - 1)**2
Let f(x) = -3*x - 7. Let j(i) = 4*i + 8. Let n(c) = -5*f(c) - 4*j(c). Let k be n(3). Factor 2*r - 3*r - 2*r**4 + r**3 + r**4 + k*r + r**2.
-r*(r - 1)**2*(r + 1)
Let h be (-4*(-3)/(-12))/((-1)/(-88)). Let j = 93 + h. Let -4*a - 9*a**3 + 2*a**4 + 3*a**5 + 5*a - 3*a**2 + j*a + a**4 = 0. Calculate a.
-2, -1, 0, 1
Let u be 1362 - (5 + 5/(-2)). Let d = u - 1359. Factor -2*m**2 + 1/4*m**5 - 7/4*m - 1/2 - d*m**3 + 1/2*m**4.
(m - 2)*(m + 1)**4/4
Let k(q) = q**2 + 464*q - 1869. Let m be k(4). Determine w, given that -9*w**2 + 3/4*w**4 + 48 - 24*w + m*w**3 = 0.
-4, 2
Factor -2/5*i**2 - 60*i - 298/5.
-2*(i + 1)*(i + 149)/5
Determine d, given that 0*d - 50*d - 3 - 45 - 2 - 5*d**2 - 30 = 0.
-8, -2
Let v = 2568 + -2563. Let y(u) be the third derivative of 2/9*u**3 + 0 - 2*u**2 + 0*u + 1/12*u**4 + 1/90*u**v. Factor y(x).
2*(x + 1)*(x + 2)/3
What is h in -2 - 47*h**4 + 113*h**4 - 867*h + 2 - 865*h**3 - 1733*h**2 - 65*h**4 = 0?
-1, 0, 867
Let t(c) be the third derivative of c**5/270 - 14*c**4/9 + 332*c**3/27 - 1388*c**2 + c. Factor t(i).
2*(i - 166)*(i - 2)/9
Suppose -1459264/3 - 1/3*m**2 - 2416/3*m = 0. What is m?
-1208
Suppose -18*i = 37*i - 770. Let m be 5/((-25)/(-5)) + i/4. Factor -m*n**3 - 1/2*n**5 + 7/2*n**2 - n + 5/2*n**4 + 0.
-n*(n - 2)*(n - 1)**3/2
Solve -876*n**2 + 285*n - n**5 + 2030*n**3 - 1832*n**3 + 6*n**4 - 2*n**5 + 1350 = 0.
-9, -1, 2, 5
Let u(t) be the second derivative of -t**6/15 - t**5/5 + 4*t**4/3 + 1834*t. Factor u(a).
-2*a**2*(a - 2)*(a + 4)
Let t = -7773 + 7775. Let r(w) be the first derivative of 3/4*w**4 - 6*w**3 + 18*w**t + 28 - 24*w. Determine j, given that r(j) = 0.
2
Let m = 3/129839 + 2077409/649195. What is c in -20*c**2 - 16/5*c + m + 20*c**3 = 0?
-2/5, 2/5, 1
Let q(m) = -3*m**3 + 54969*m**2 - 50343369*m + 50288451. Let u(n) = -n**3 + 21988*n**2 - 20137348*n + 20115381. Let f(j) = 5*q(j) - 12*u(j). Factor f(g).
-3*(g - 1831)**2*(g - 1)
Let d(m) be the first derivative of m**5/20 - 19*m**4/8 - 79*m**3/12 - 5*m**2 + 5806. Let d(r) = 0. What is r?
-1, 0, 40
Let u(t) be the second derivative of 0*t**2 + 20*t - 1/4*t**4