-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5*k(d). Factor b(m).
5*(m - 1)*(m + 33)
Let o(x) be the third derivative of -2*x + 1/480*x**6 - 32*x**2 + 0*x**4 + 1/120*x**5 + 0 + 0*x**3. Factor o(v).
v**2*(v + 2)/4
Suppose -2944*i = -3031*i + 261. Factor 3*p - 15/4*p**i + 3/4*p**4 - 6 + 9/2*p**2.
3*(p - 2)**3*(p + 1)/4
Let t = -612 + 623. Let u be (t - (-5344)/(-504)) + 2/(-18). Factor -8/7*o**3 + 10/7 + 8/7*o + u*o**4 - 12/7*o**2.
2*(o - 5)*(o - 1)*(o + 1)**2/7
Let r = 230 + -221. Let g(z) be the first derivative of -r + 26/3*z**4 - 70/27*z**6 - 124/45*z**5 + 0*z - 16/9*z**2 - 16/27*z**3. What is w in g(w) = 0?
-2, -2/7, 0, 2/5, 1
Let d(q) be the second derivative of 1/2*q**3 + 1/16*q**4 + 105*q + 0 - 15/8*q**2. Determine p, given that d(p) = 0.
-5, 1
Let v = 23 - 20. Let 74*r - 105*r**2 + 432 - 2*r**4 + 379*r + 48*r**v + 369*r**2 + 123*r + 5*r**4 = 0. Calculate r.
-6, -2
Let u = -643 - -642. Let p be u - ((-161)/45 + 36/45). Let 4/9*b**3 - p*b + 0 + 2/9*b**4 - 8/9*b**2 = 0. What is b?
-2, 0, 2
Let p be 3 + (-220)/209 + 28/532. Factor 4*l + 2/3*l**p + 6.
2*(l + 3)**2/3
Let f be (-5)/5*186/(-31). Let b(u) be the second derivative of 7/50*u**5 + 1/15*u**f + 0 - 9*u + 1/10*u**4 + 0*u**2 + 1/105*u**7 + 0*u**3. Factor b(y).
2*y**2*(y + 1)**2*(y + 3)/5
Let o(b) be the third derivative of -b**6/24 - b**5/2 + 35*b**4/24 + 50*b**3 + 323*b**2 - b. Let o(g) = 0. Calculate g.
-5, -4, 3
Factor 104907 + 561*s + 3/4*s**2.
3*(s + 374)**2/4
Let h(b) = 15*b**3 + 46*b**2 + 47*b + 16. Let u(m) = 45*m**3 + 139*m**2 + 143*m + 49. Let o = -420 + 416. Let s(d) = o*u(d) + 11*h(d). Factor s(q).
-5*(q + 1)**2*(3*q + 4)
Let r(g) be the first derivative of -g**4 + 136*g**3/3 - 342*g**2 - 1944*g - 1414. Let r(t) = 0. What is t?
-2, 9, 27
Let i(s) be the second derivative of -2 + 4/3*s**2 + 16/9*s**3 - 44*s + 1/6*s**5 + 17/18*s**4. Factor i(n).
2*(n + 1)*(n + 2)*(5*n + 2)/3
Suppose -7616 + 32681 = 15*u. Let p = -1669 + u. Determine j so that 0*j**p + 0*j + 1/5*j**4 + 0 - j**3 = 0.
0, 5
Let y(g) be the third derivative of -g**5/12 - 25*g**4/6 - 95*g**3/6 + 152*g**2 + 5*g. Factor y(l).
-5*(l + 1)*(l + 19)
Let s(z) = 7*z + 36. Let a be s(-8). Let i be (11/(-55))/(2/a). Factor -c**i - c**3 + 1 - 48*c + 38*c + 11*c**3.
(c - 1)*(c + 1)*(10*c - 1)
Let f(k) be the first derivative of k**8/7560 - 11*k**6/810 - 2*k**5/45 + 5*k**4/12 - k**3 + k + 78. Let v(b) be the third derivative of f(b). Solve v(h) = 0.
-3, 1, 5
Let i(z) = 15*z**3 - 628*z**2 - 3884*z + 4497. Let b(m) = -m**3 + 42*m**2 + 259*m - 300. Let x(q) = 93*b(q) + 6*i(q). Find r, given that x(r) = 0.
-6, 1, 51
Let u(q) = -3*q**2 + 18*q - 11. Let d be u(5). Solve -8*a**3 + 4*a + 41*a**4 + d*a**5 - 6 - 2 - 49*a**4 + 16*a**2 = 0.
-1, 1, 2
Let w be 62/12 - (23/2 - 7). Factor -2*g**2 + w*g**3 + 0 + 0*g.
2*g**2*(g - 3)/3
Let c(y) be the third derivative of -y**7/210 + y**6/60 + 56*y**5/15 - 75*y**4/4 + 75*y**3/2 - 2*y**2 - 5*y + 13. Factor c(x).
-(x - 15)*(x - 1)**2*(x + 15)
Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o?
-1, 1/2, 3, 62
Let d = 23 - 17. Factor -18*s**2 - 23*s**2 + 46*s**2 - d*s + s**3.
s*(s - 1)*(s + 6)
Suppose 217*l - 208*l = 4905. Let c = 545 - l. Factor 1/2*a**3 + c + 2*a**2 - 5/2*a.
a*(a - 1)*(a + 5)/2
Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2.
3*(a - 3)**2*(a - 2)**3
Let z be ((-320)/(-160))/((0 - -1)/(11/110)). Let 0 - 1/5*w**5 + z*w**3 - 2/5*w**2 + 2/5*w**4 + 0*w = 0. Calculate w.
-1, 0, 1, 2
Let n(a) = a**2 + a. Let z(r) = -r + 10. Let i be z(9). Suppose 2*c - i = c. Let w(y) = -4*y. Let f(m) = c*w(m) + n(m). Let f(x) = 0. Calculate x.
0, 3
Suppose -4*s + 163 = -49. Factor 32 + 6 + s*z + 4 + 8*z**2 + 9*z.
2*(z + 7)*(4*z + 3)
Let q(j) = -29*j**2 + 86*j - 53. Let s be q(2). Factor -2/11*d**s - 4/11 + 0*d**2 + 6/11*d.
-2*(d - 1)**2*(d + 2)/11
Let u = -45911/1200 - -957/25. Let z(v) be the third derivative of -4*v**2 + 0*v**4 + u*v**6 + 0*v + 0*v**3 + 0 + 1/24*v**5. Factor z(h).
5*h**2*(h + 1)/2
Find a, given that 2*a**3 - 78*a**2 - 5*a**3 + 351*a + 11200 - 11470 = 0.
-30, 1, 3
Suppose 0 = 5*t + 5*g - 35, -g - 3 = -5*t + 2*g. Suppose -36*d**2 - t*d**3 - 33*d - 1104 + 1104 = 0. Calculate d.
-11, -1, 0
Let i be 453663/46683 + (-4)/78. Suppose 1/3*u**2 - i*u + 0 = 0. What is u?
0, 29
Let y = 43068 - 43066. Solve -15/7 - 3/7*u**y - 18/7*u = 0.
-5, -1
Suppose 0 = -3*z - 2*g - 1567, 3*z + 3*g + 0*g + 1566 = 0. Let y = -3660/7 - z. Determine u so that -1/7*u**2 + y + 0*u = 0.
-1, 1
Let f(h) = -1627*h - 84. Let r be f(-2). Let l be r/300 - 3/18. Factor -338/5 - l*i - 2/5*i**2.
-2*(i + 13)**2/5
Let b be -38 - 0 - (-1*4 - -2). Let l = b - -43. Let x(v) = 19*v**2 + 8*v + 3. Let k(u) = -13*u**2 - 5*u - 2. Let p(s) = l*k(s) + 5*x(s). Factor p(j).
(j + 1)*(4*j + 1)
Determine v, given that 816 - 4/3*v**2 + 2444/3*v = 0.
-1, 612
Let i(g) be the second derivative of -g**5/40 + 29*g**4/8 + 59*g**3/4 + 89*g**2/4 - 4*g + 1. Let i(z) = 0. What is z?
-1, 89
Factor -172*h**2 + 164*h + 169*h**2 + 3471 - 392*h.
-3*(h - 13)*(h + 89)
Let k(f) = -3*f**4 + 9*f**3 - 43*f**2 + 47*f - 16. Let j(t) = -7*t**4 + 16*t**3 - 87*t**2 + 94*t - 31. Let g(i) = -2*j(i) + 5*k(i). Let g(q) = 0. What is q?
1, 2, 9
Determine o so that -4*o - 1/3*o**2 - 32/3 = 0.
-8, -4
Let j(n) be the third derivative of 2/45*n**5 - 161*n**2 + 0 + 2/3*n**3 - 1/180*n**6 + 0*n + 11/36*n**4. Suppose j(c) = 0. What is c?
-1, 6
Factor -f**4 + f**3 - 14*f**2 - f**3 + 138 - 58 - 65 - 16*f**3 + 16*f.
-(f - 1)*(f + 1)**2*(f + 15)
Let o(j) be the first derivative of 53 - 23/4*j**4 - j - 3/4*j**6 + 17/5*j**5 + 4*j**3 - 1/4*j**2. Determine w, given that o(w) = 0.
-2/9, 1
Suppose 27 = -11083*w + 11092*w. Let t(p) be the first derivative of 2/3*p**2 - 1/12*p**4 - 4/3*p - 5 + 1/9*p**w. Determine d so that t(d) = 0.
-2, 1, 2
Let a(o) = 2*o + 6. Let f(i) = i**2 - 271*i - 12. Let y(b) = -2*a(b) - f(b). Let y(u) = 0. Calculate u.
0, 267
Suppose 0 = -11*p - 751 + 795. Let r(u) = -2*u. Let z be r(-1). Factor -5*n**3 - n**3 + z*n**4 + 2*n**p - 2*n**4 + 6*n**2 - 2*n.
2*n*(n - 1)**3
Let x be (32/6)/(((-40)/15)/(-4)). Suppose -u = 3*f - 6, -3*u + x = 4*f + 2*u. Factor 4*w**2 + 15*w**3 - 3*w**f - 5*w**2 - 6*w**2 - 5*w**5.
-5*w**2*(w - 1)**2*(w + 2)
Find c such that -1/5*c**2 + 39/5*c - 224/5 = 0.
7, 32
Let y(o) be the second derivative of -3*o**5/80 + 3*o**4/4 + 8*o**3 - 1350*o. Suppose y(p) = 0. Calculate p.
-4, 0, 16
Let u(v) be the first derivative of 2*v**3/39 + 804*v**2/13 - 248*v + 15927. Factor u(j).
2*(j - 2)*(j + 806)/13
Let m(a) be the third derivative of -a**9/12096 - 5*a**8/576 - 17*a**7/504 - 31*a**5/30 + 170*a**2. Let y(q) be the third derivative of m(q). Factor y(u).
-5*u*(u + 1)*(u + 34)
Determine y, given that -15/2*y**3 + 15/2*y**2 - 5/2*y**4 + 55/2*y + 15 = 0.
-3, -1, 2
Factor y**2 + 1/2*y**5 + 163/2*y - 82*y**3 - 41 + 40*y**4.
(y - 1)**3*(y + 1)*(y + 82)/2
Let q(j) be the third derivative of -j**6/10 + j**5/20 + j**4/2 - j**3/2 - 1143*j**2. Factor q(n).
-3*(n - 1)*(n + 1)*(4*n - 1)
Let n(a) be the second derivative of 75*a + 3*a**2 + 0 + 1/15*a**6 - 2/3*a**4 + 2/3*a**3 - 1/5*a**5. Factor n(f).
2*(f - 3)*(f - 1)*(f + 1)**2
Let w be 12/(-26) - (-324696)/53950*30/9. Factor -w*n**2 + 28/5*n - 2/5.
-2*(7*n - 1)**2/5
Solve 2/5*w**5 - 126*w + 0 + 1056/5*w**2 - 44*w**3 - 208/5*w**4 = 0 for w.
-3, 0, 1, 105
Let t be 756/7*(-4)/(-6). What is h in 168*h**3 + t + 32*h**5 + 308*h**2 - 12*h**5 + 108*h**5 - 266*h**4 - 300*h - 118*h**4 = 0?
-1, 1/2, 3/4, 2
Let c = 167 + -165. Find a such that a + 5*a**2 + 6*a**3 + 9*a + 8*a**2 + 2 + a**c = 0.
-1, -1/3
Let r(v) be the second derivative of -v**7/6300 - v**6/90 - v**5/3 + v**4/12 + 38*v**3/3 + 130*v. Let g(j) be the third derivative of r(j). Factor g(i).
-2*(i + 10)**2/5
Let n = 434 - 441. Let d be n - (-20 + (-5 - -13)). Factor -24/5*b**2 - 6/5 + 6/5*b**4 - 21/5*b - 6/5*b**3 + 3/5*b**d.
3*(b - 2)*(b + 1)**4/5
Let a(w) = -5*w**2 + 18*w