 226. Let u(m) = -24*m**2 - 108*m - 111. Let g(l) = -3*d(l) - 7*u(l). Suppose g(p) = 0. Calculate p.
-3, -11/8
Determine v, given that -127/5*v - 1/5*v**2 + 0 = 0.
-127, 0
Factor 177 - 50 + 68 - o**2 + 34*o.
-(o - 39)*(o + 5)
Let m be (-78)/(-153)*(-1139)/(-201). Factor m*g**3 + 2/9*g**4 + 20/9 + 22/3*g**2 + 62/9*g.
2*(g + 1)**3*(g + 10)/9
Let d = 193970 - 1744672/9. Factor 0 - 92/9*w**2 + d*w + 2/9*w**3.
2*w*(w - 23)**2/9
Suppose -o - 101 = -7*q + 6*q, 3*o + 5*q + 279 = 0. Let h be (-111)/185 - (2 - o/(-30)). Determine r, given that -4 - h*r**2 + 10/3*r = 0.
2, 3
Let b = 25944521900765/26537 + -977673510. Let g = 2/3791 - b. Factor -6/7*v + 0 + g*v**2.
3*v*(3*v - 2)/7
Let v(j) be the second derivative of -j**7/42 - 7*j**6/30 - j**5/5 + j**4 - j - 218. Suppose v(w) = 0. What is w?
-6, -2, 0, 1
Find w, given that 192*w**3 + 92/5*w**4 + 2/5*w**5 + 0*w - 2304/5*w**2 + 0 = 0.
-24, 0, 2
Suppose 0 = 12*c - 345 + 321. Solve 0*m + 8/7*m**c + 2/7*m**4 + 0 + 8/7*m**3 = 0.
-2, 0
Let f(q) be the second derivative of 27*q - 13/48*q**4 + 11/6*q**3 - 9/20*q**5 + 5/8*q**2 - 1. Factor f(b).
-(b - 1)*(4*b + 5)*(9*b + 1)/4
Let c be (12/15)/(4/10). Let g = -913/5 + 183. Solve -16/5 - 12/5*v + g*v**3 + 6/5*v**c = 0 for v.
-4, -1, 2
Let i(a) = 8*a**4 - 248*a**3 - 228*a**2 + 236*a + 232. Let s(w) = -22*w**4 + 742*w**3 + 684*w**2 - 708*w - 696. Let c(y) = -17*i(y) - 6*s(y). Factor c(v).
-4*(v - 1)*(v + 1)**2*(v + 58)
Factor -1545/2*p - 795675/4 - 3/4*p**2.
-3*(p + 515)**2/4
Suppose -9*o - 726 = 13*o. Let s be ((-6)/o)/(1 + 1). Suppose -s*x**3 - 1/11*x + 6/11*x**2 + 0 - 16/11*x**5 - 24/11*x**4 = 0. What is x?
-1, 0, 1/4
Let q be (1/((-14)/(-4)))/(56/392). Let k be (-30)/(-20) + 1/(q + -3). Suppose 3/4*p - k - 1/4*p**2 = 0. Calculate p.
1, 2
Let q(k) = -k - 2. Let w(d) = -d**2 + 22*d - 4. Suppose -5*y = -0*r + r + 11, -154 = 4*r - 2*y. Let s(h) = r*q(h) - 4*w(h). Solve s(u) = 0.
2, 11
Suppose 0 = 63*p + 52*p - 575. Let j(k) be the second derivative of 1/160*k**p + 16*k + 1/8*k**2 + 0 - 1/16*k**3 + 0*k**4. What is i in j(i) = 0?
-2, 1
Let s(h) be the first derivative of 225/4*h**4 + 805*h**3 - 2645/2*h**2 + 0*h + h**5 - 60. Factor s(r).
5*r*(r - 1)*(r + 23)**2
Let p(h) be the second derivative of h**5/90 + 3*h**4/2 + 81*h**3 + 41*h**2 + 110*h. Let u(z) be the first derivative of p(z). Let u(r) = 0. What is r?
-27
Let i(v) be the first derivative of -v**4/28 + 725*v**3/21 - 132487*v**2/14 + 390963*v/7 + 3580. Suppose i(n) = 0. Calculate n.
3, 361
Let o be 36/(-45)*40/24496. Let j = 4597/3062 + o. Factor 3 - 3*l**2 - j*l**3 + 3/2*l.
-3*(l - 1)*(l + 1)*(l + 2)/2
Let m(u) = 28*u**3 - 16*u**2 + 48*u + 9. Let l(f) = 3*f**3 + f**2 - 2*f + 1. Let n(q) = 18*l(q) - 2*m(q). Factor n(z).
-2*z*(z - 22)*(z - 3)
Let l(d) be the second derivative of -d**5/4 + 105*d**4/4 - 1225*d**3/2 + 12005*d**2/2 + 2*d + 2663. Factor l(k).
-5*(k - 49)*(k - 7)**2
Let z be -9*(-8)/36 + 2. Let u(q) be the third derivative of 0*q**6 + 0*q**3 - q**2 - 1/840*q**8 + 1/75*q**5 - 2/525*q**7 + 0*q + 0 + 1/60*q**z. Solve u(h) = 0.
-1, 0, 1
Let d(f) be the second derivative of -3/100*f**5 + 176*f + 11/60*f**4 - 2 + 2/5*f**2 - 2/5*f**3. Suppose d(u) = 0. What is u?
2/3, 1, 2
Let q be 82*7/49 + (44 - 51). Determine m, given that 30/7*m**3 + 3/7*m**5 - q*m + 0*m**2 - 18/7 + 18/7*m**4 = 0.
-3, -2, -1, 1
Let d be (7205/393 - (-2 + 20))*(-3)/(-7). Let s(l) be the first derivative of 42 - 18/7*l**2 - d*l**4 - 16/7*l - 8/7*l**3. Let s(y) = 0. What is y?
-4, -1
Let w(a) be the second derivative of 3*a**5/40 - 21*a**4/4 - 87*a**3/4 - 33*a**2 + 1594*a. Factor w(k).
3*(k - 44)*(k + 1)**2/2
Suppose -337*n = -253*n - 672. Let j(c) be the first derivative of -n*c**3 + 6/5*c**5 - 2 - 6*c - 21/2*c**2 + 1/2*c**6 - 3/2*c**4. Solve j(h) = 0 for h.
-1, 2
Solve -71 - 855*v**2 + 4*v**3 + 71 + 367*v**2 = 0.
0, 122
Let z be (-48)/490 - 5/(-25). Let t = z - 1/490. Determine v, given that -1/10 + t*v**2 + 0*v = 0.
-1, 1
Let c = 763111 + -2289329/3. Suppose 4/3*q**2 - c*q - 16 = 0. Calculate q.
-3, 4
Let o(k) = 49773631*k**2 - 89030*k + 40. Let x(f) = 4977363*f**2 - 8904*f + 4. Let y(v) = -2*o(v) + 21*x(v). Let y(c) = 0. Calculate c.
2/2231
Let n(s) be the second derivative of 4/3*s**3 - s**4 - 37*s + 0*s**2 - 2 + 1/5*s**5. Factor n(k).
4*k*(k - 2)*(k - 1)
Let h = 66204/7 + -1522678/161. Factor -8/23*w**3 + 128/23*w + 0 - 32/23*w**2 + h*w**4.
2*w*(w - 4)**2*(w + 4)/23
Let d(v) be the first derivative of 6 + 15*v + v**2 - 1/6*v**4 + 1/10*v**5 - 1/3*v**3. Let j(n) be the first derivative of d(n). Factor j(t).
2*(t - 1)**2*(t + 1)
What is g in 96*g - 660 - 7544*g**2 + 3771*g**2 + 3770*g**2 = 0?
10, 22
Factor 12 + v**2 - 14902*v + 7460*v + 96 + 7481*v.
(v + 3)*(v + 36)
Suppose h = -a - 170 + 184, 0 = -4*h + 4*a - 32. Factor 0*m + 2*m**2 - 1/3*m**h + 0.
-m**2*(m - 6)/3
Let o(f) = 25*f**2 - f - 24. Let l be o(5). Let u = l - 593. Factor -3/2*i**u + 18*i**2 + 0 - 54*i.
-3*i*(i - 6)**2/2
Let v = 36871/3 - 12160. Let d = 785/6 - v. Solve 5/8*a - 1/8*a**2 - d = 0 for a.
1, 4
Let s be (-17)/4 + 34/8. Let n(m) be the first derivative of -1/4*m**4 - 1/15*m**5 + 1/2*m**2 + s*m + 21 + 1/9*m**3. Solve n(z) = 0.
-3, -1, 0, 1
Let u(r) be the first derivative of -r**4/12 + 7*r**3/3 + 15*r**2/2 + 19*r - 61. Let g(n) be the first derivative of u(n). Solve g(o) = 0 for o.
-1, 15
Suppose z = 5*d - 3, -27*z = 4052*d - 4056*d - 181. Factor -1/4*w**d - 1369/4 + 37/2*w.
-(w - 37)**2/4
Let r be 3/9*(16 - -5). Suppose v - 2 = j, -r*j + 11*j + 4*v = 8. Factor -2/3 + 2/3*x**2 + j*x.
2*(x - 1)*(x + 1)/3
Suppose 27*y - 132 - 57 = 0. Let i(n) be the first derivative of -2/13*n**3 + 8/13*n - 2/65*n**5 - y - 4/13*n**2 + 2/13*n**4. What is f in i(f) = 0?
-1, 1, 2
Let g = 83 - 79. Suppose -g*q + 4*w + 28 + 16 = 0, q = -3*w + 27. Factor -11*p**2 + 0 + q*p**2 - 4.
4*(p - 1)*(p + 1)
Let f(v) = -v**2 - 71*v - 446. Let t be f(-64). Let y(c) be the second derivative of -1/8*c**4 + 10*c + 0 + 0*c**t + 3/4*c**3. Suppose y(x) = 0. Calculate x.
0, 3
Let f(x) be the second derivative of 0*x**2 - 3/2*x**3 + 33*x + 1/810*x**6 + 1/36*x**4 + 0 + 1/108*x**5. Let p(k) be the second derivative of f(k). Factor p(y).
2*(y + 1)*(2*y + 3)/9
Let i(k) = 8*k - 26. Let w be i(5). Suppose -10*g = -w*g + 120. Factor -5*u**2 + 10 - 40*u + 0*u**2 + g + 5*u.
-5*(u - 1)*(u + 8)
Let z(l) be the third derivative of -l**8/161280 - 11*l**7/8064 - l**5/60 + 7*l**4/8 + 217*l**2. Let x(v) be the third derivative of z(v). Factor x(n).
-n*(n + 55)/8
Let z be (38 - 43)/(4 + -16). Let k(o) be the second derivative of 5/6*o**3 + 0 + 0*o**2 - z*o**4 - 7*o. Determine v, given that k(v) = 0.
0, 1
Let x = 10766283/13 - 828175. Determine a so that -x*a**5 + 42/13*a + 18/13 - 34/13*a**3 - 32/13*a**4 + 14/13*a**2 = 0.
-3/2, -1, 1
Suppose -5*a - 2*y + 9 = 0, 5*y = -6*a + 4*a - 9. Determine k, given that -18*k + 189 - 93 + a*k**2 - 81 = 0.
1, 5
Let p(l) = -16 + 6 - l + 11. Let o be p(-2). Solve -10*u - u**4 - 25*u**2 + 3806*u**3 - 4*u**4 - 3826*u**o = 0.
-2, -1, 0
Let -102/5*b - 2016/5 + 3/5*b**2 = 0. What is b?
-14, 48
Let h = -177 - -257. Suppose 6*n - h = n. Find i, given that n*i**2 - 21*i**2 - 5*i - 5 + 17*i + 1 = 0.
2/5, 2
Let r(g) be the second derivative of -g**6/15 - 21*g**5/10 + 169*g**4/6 + 63*g**3 - 76*g + 1. Let r(i) = 0. What is i?
-27, -1, 0, 7
Let k(x) be the first derivative of -x**6/2160 + 11*x**5/720 + 13*x**3 - 64. Let b(o) be the third derivative of k(o). Factor b(s).
-s*(s - 11)/6
Let u(o) be the second derivative of -13*o + o**3 - 3/4*o**4 + 0*o**5 + 1/10*o**6 + 0 + 0*o**2. Find q such that u(q) = 0.
-2, 0, 1
Suppose 27/4*x**2 + 41/2*x**3 - 105/4*x**4 + 0 - x**5 + 0*x = 0. Calculate x.
-27, -1/4, 0, 1
Let y(d) be the first derivative of -26*d**2 - 4/3*d**3 - 253 - 48*d. Factor y(z).
-4*(z + 1)*(z + 12)
Let c(j) be the second derivative of j**4/3 - 172*j**3/3 - 1504*j**2 + 92*j + 34. Solve c(k) = 0.
-8, 94
Let c(q) be the second derivative of -q**5/50 + 11*q**4/30 + 34*q**3/5 - 30*q. Factor c(o).
-2*o*(o - 17)*(o + 6)/5
Let i(j) be the first derivative of j**4/22 - 58*j**3/11 + 336*j**2/11 - 664*j/11 + 6267. Factor i(f).
2*(f - 83)*(f - 2)**2/11
Find k, given that -1269/2*k + 729/2 - 53/6*k**4 + 1/6*k**5 + 335/3*k**3 + 167*k**2 = 0.
-3, 1, 27
Let m(u) be the third derivative of -38*u**5/15 + u**4/12 - 