*o**2 + 12804*o + 173. Let z(m) = -7*l(m) - 5*w(m). Determine d, given that z(d) = 0.
-2/1067
Let 12/7*n**5 + 5104/7*n**2 + 572/7*n**4 + 0 + 384*n + 2976/7*n**3 = 0. Calculate n.
-42, -8/3, -2, -1, 0
Suppose -3*n + 34 - 22 = 0. Let h = -1 + n. Factor 93*l**2 - 32*l + 9*l + 12*l**4 + 8 - 17*l**2 - 21*l - 52*l**h.
4*(l - 2)*(l - 1)**2*(3*l - 1)
Let s(u) be the second derivative of u**6/840 - u**5/140 - u**4/168 + u**3/14 + 21*u**2/2 + 2*u - 1. Let o(q) be the first derivative of s(q). Factor o(j).
(j - 3)*(j - 1)*(j + 1)/7
Let t(j) = 5*j**2 - 175*j - 768. Let q(u) = 69 + 59 + 29*u - 2*u**2 + u**2. Suppose -34*m + 25*m = -306. Let w(n) = m*q(n) + 6*t(n). What is b in w(b) = 0?
-8
Let i(z) = -z**2 + 16*z - 25. Let v be i(14). Suppose -1773*p**4 + 1 - 76*p**v - 48*p + 1789*p**4 + 112*p**2 - 1 = 0. Calculate p.
0, 3/4, 2
Let f(g) = 3*g**3 - 21*g**2 + 122*g + 150. Let y = 196 - 198. Let a(o) = -4*o**3 + 20*o**2 - 123*o - 153. Let p(k) = y*a(k) - 3*f(k). Find v such that p(v) = 0.
-1, 12
Let k be ((-105)/126)/((-10)/18). Let f(d) be the first derivative of -3*d + 3 + k*d**2 + 2*d**3. Factor f(h).
3*(h + 1)*(2*h - 1)
Suppose 0 = 3*d + s - 264, -d - 21*s = -22*s - 84. Factor -d + 30*b - 62*b**2 + 10*b**2 - 128*b - 42*b - 4*b**3 + 283.
-4*(b - 1)*(b + 7)**2
Let i be 885/(-4248) + ((-13)/(-117) - (-4)/18). Find s such that 0*s + i*s**4 + 1/2*s**3 + 0 + 1/2*s**2 = 0.
-2, 0
Let q be (-1 + 0)/(1/(-3)). Suppose 0 = -3*a - 3*g + 9, -5*a + 4*g + 0*g + 6 = 0. Factor -6*u - 32*u**q + 22*u + 4*u**a - 8*u + 20*u**4.
4*u*(u - 1)**2*(5*u + 2)
Determine u so that 0*u + 5141/8*u**4 + 92*u**2 - 7/4*u**5 + 2023/4*u**3 + 0 = 0.
-1/2, -2/7, 0, 368
Let l(x) be the second derivative of -3*x**2 + 21/40*x**5 + 15*x + 13/4*x**3 - 15/8*x**4 + 1 - 1/20*x**6. Determine d, given that l(d) = 0.
1, 4
Let t(b) be the first derivative of -b**5/4 - 5*b**4/4 - 5*b**3/3 + 70*b - 106. Let g(n) be the first derivative of t(n). Solve g(s) = 0 for s.
-2, -1, 0
Let k(t) = 5*t**3 - t**2 - 9*t + 3. Let h(a) be the third derivative of -a**6/12 + 5*a**4/6 - 5*a**3/6 - 26*a**2. Let i(u) = 2*h(u) + 5*k(u). Factor i(o).
5*(o - 1)**2*(o + 1)
Let g(p) = 21*p**3 + 27*p**2 - 150*p + 208. Let w(k) = 16*k**3 + 25*k**2 - 148*k + 206. Let n(s) = -3*g(s) + 4*w(s). Determine u so that n(u) = 0.
-25, 2, 4
Let l = -9109 + 9111. Solve 3*z**3 + 0*z + 0 + 5/2*z**l + 1/2*z**4 = 0.
-5, -1, 0
Let c(m) = 19*m**3 - 4192*m**2 - 890400*m - 1764006. Let r(u) = 365*u**3 - 79645*u**2 - 16917600*u - 33516115. Let w(t) = 115*c(t) - 6*r(t). Factor w(i).
-5*(i + 2)*(i + 420)**2
What is w in 85*w**2 + 530*w**3 + 526*w**3 - 1599*w**3 + 126 - 243*w + 537*w**3 = 0?
2/3, 3, 21/2
Let i be -14*(-14)/49*(5 - (-28)/(-8)). Let t(d) be the third derivative of 0 - 7/240*d**5 - 10*d**2 + 0*d - 3/8*d**3 - 5/32*d**4 - 1/480*d**i. Factor t(f).
-(f + 1)*(f + 3)**2/4
Factor 0 + 93/2*b**2 - 135*b - 1/2*b**3.
-b*(b - 90)*(b - 3)/2
Let h(m) be the second derivative of m**6/150 + m**5/100 - m**4/3 + 7*m + 71. Find k such that h(k) = 0.
-5, 0, 4
Let y(x) be the third derivative of x**6/180 - x**5/90 - x**2 - 3916*x + 2. Factor y(c).
2*c**2*(c - 1)/3
Suppose 329*s - 322*s - 28 = 0. Let g(f) = 4*f + 52. Let y be g(-13). Factor 33/2*j**2 - 9/2*j + 3/2*j**s + y - 19/2*j**3.
j*(j - 3)**2*(3*j - 1)/2
Let f = -31342 - -125397/4. Solve y**4 + 5/8*y - f*y**2 - 1/2*y**3 + 25/4 - 1/8*y**5 = 0 for y.
-2, -1, 1, 5
Let i(c) be the third derivative of c**7/630 + 3*c**6/40 - 157*c**5/180 + 35*c**4/24 + 16*c**3 + 1409*c**2. Let i(p) = 0. Calculate p.
-32, -1, 3
Suppose -335*q + 2837 = 1832. Factor -2/13*t**q - 6/13*t**2 + 0 - 4/13*t.
-2*t*(t + 1)*(t + 2)/13
Let j(s) be the first derivative of -s**6/180 - s**5/45 + 7*s**4/36 - 4*s**3/9 - 37*s**2/2 + 37. Let k(b) be the second derivative of j(b). Factor k(v).
-2*(v - 1)**2*(v + 4)/3
Suppose 3*h = 6, -h = -k - 6*h + 13. Factor -18*p**2 - k*p**5 - 35*p**2 + 3*p**4 - p**2 + 24*p**3 + 18*p**2.
-3*p**2*(p - 2)**2*(p + 3)
Suppose -17*t + 10612 = 11*t. Let f = t + -376. Factor -12/5 + 24/5*p + 3/5*p**3 - f*p**2.
3*(p - 2)**2*(p - 1)/5
Let o(d) be the third derivative of 4*d**6/105 - 4*d**5/7 + 13*d**4/4 - 169*d**3/21 - 235*d**2. Let o(t) = 0. Calculate t.
1, 13/4
Let 0*m + 1/4*m**3 + 0 + 41/4*m**2 = 0. Calculate m.
-41, 0
Suppose 1634/3 - 2/3*h**2 - 16*h = 0. Calculate h.
-43, 19
Let l = 723 + -715. Suppose -4*b = 0, 10*b - l*b - 20 = -5*t. Determine v, given that -15/7*v**5 - 27/7*v**3 + 6/7*v**2 + 0*v + 36/7*v**t + 0 = 0.
0, 2/5, 1
Let h(n) be the first derivative of 30 - 3/10*n**2 - 2*n + 1/15*n**3. Find u such that h(u) = 0.
-2, 5
Let u(t) be the third derivative of -t**6/120 - 6*t**5/5 - 47*t**4/8 - 35*t**3/3 - 3229*t**2. Find q such that u(q) = 0.
-70, -1
Let k(x) be the second derivative of -x**4/12 + 129*x. Let g(p) = 38*p**2 + 14*p - 2. Let n(u) = 2*g(u) + 44*k(u). Determine d, given that n(d) = 0.
-1, 1/8
Let a(f) be the second derivative of -44*f - 2 + 2/25*f**5 + 1/3*f**3 - 11/30*f**4 + 2/5*f**2. Determine y, given that a(y) = 0.
-1/4, 1, 2
Let c(y) be the first derivative of -2*y**3/51 - 47*y**2/17 - 180*y/17 + 2065. Determine b so that c(b) = 0.
-45, -2
Let d(l) = 766*l - 3830. Let b be d(5). Solve 2/23*u**4 + 2/23*u + 6/23*u**3 + 6/23*u**2 + b = 0 for u.
-1, 0
Let j(l) be the first derivative of -3*l**4/20 - 39*l**3/5 - 1197*l**2/10 - 1083*l/5 - 1712. Determine q, given that j(q) = 0.
-19, -1
Let w(p) = -p**4 - p**3 - p**2 - 2*p + 1. Let r(m) = 5*m**4 + 3*m**3 - 113*m**2 + 753*m - 1304. Let f(g) = r(g) + 4*w(g). Factor f(c).
(c - 5)**2*(c - 4)*(c + 13)
Let z(a) be the second derivative of 20*a**7/21 - 16*a**6/5 + 41*a**5/10 - 5*a**4/2 + 2*a**3/3 - 911*a. Suppose z(n) = 0. Calculate n.
0, 2/5, 1/2, 1
Let x = 1131905/4 - 285194. Let m = x + 2218. Factor 0*c + m*c**4 + c**2 + 0 - 5/4*c**3.
c**2*(c - 4)*(c - 1)/4
Factor -520*z + 991 + 503 + 5*z**2 - 979.
5*(z - 103)*(z - 1)
Let j be 5 + (-1)/2 + 15/(-30). Let t(k) be the second derivative of -3/13*k**3 + 19*k + 0 + 0*k**2 - 1/130*k**5 - 1/13*k**j. Factor t(n).
-2*n*(n + 3)**2/13
Let y(t) = -77*t + 1312. Let z be y(17). Let u(p) be the first derivative of 0*p + 8 + 3/4*p**4 - 12/5*p**5 + 0*p**z - 5/2*p**6 + 0*p**2. Factor u(g).
-3*g**3*(g + 1)*(5*g - 1)
Let w(b) be the third derivative of -b**6/210 - 66*b**5/35 - 3267*b**4/14 + 970*b**2. Factor w(s).
-4*s*(s + 99)**2/7
Let u be ((-74)/6)/(8/24). Let p = u - -41. Factor -2*f**p - 5*f + f**3 + 5*f + f**3.
-2*f**3*(f - 1)
Suppose -12 = 5*h - 72. Let y be 128/h*15/10. Suppose 3*i**2 + 3*i - 2*i**5 - 5*i**2 - y + 21*i + 6*i**2 + 12*i**4 - 22*i**3 = 0. What is i?
-1, 1, 2
Let f(r) be the first derivative of -r**8/1008 + r**7/630 + r**6/360 - r**5/180 + 31*r**2/2 - 2*r + 26. Let n(j) be the second derivative of f(j). Factor n(l).
-l**2*(l - 1)**2*(l + 1)/3
Factor 6*t + 34/11 - 4/11*t**2.
-2*(t - 17)*(2*t + 1)/11
Let f = 6 - 2. Let d = -18/949 - -2937/4745. Find r, given that 3/5*r**2 + 0*r + 0 + d*r**f - 6/5*r**3 = 0.
0, 1
Determine j so that 5 - 13 + 3 - 880*j - 878*j**2 + 0 + 3 = 0.
-1, -1/439
Let y(z) be the third derivative of -1/20*z**5 - 129*z**2 + 13/40*z**4 + 0*z - 3/5*z**3 + 0. Factor y(s).
-3*(s - 2)*(5*s - 3)/5
Let n(b) = -7*b + 4 - 1 - 8*b**2 - 4 + 4*b**3 - 2*b**3. Let k be n(5). Suppose k*x**3 + 8*x + 0 - 22*x**3 - 4*x**2 + 4 = 0. Calculate x.
-1, -1/2, 1
Let w be (-7497)/(-2205) + (-4 - -1). Suppose -w*s**2 + 8/5 - 6/5*s = 0. Calculate s.
-4, 1
Let k(t) = 7*t + 73. Let u be k(-10). Determine j, given that -162*j**2 + 4*j + 61*j**2 - 20*j**u + 66*j - 174*j**2 = 0.
-14, 0, 1/4
Let l(q) = 169*q**3 - 364*q**2 + 53*q. Let b(s) = -1. Let o(m) = 2. Let p(x) = -2*b(x) - 2*o(x). Let h(d) = -l(d) - p(d). Factor h(g).
-(g - 2)*(13*g - 1)**2
Let w(i) = 14*i**3 - i**2 - 5*i + 4. Let y be w(2). Let 53 - y + 5*r**2 + 110*r + 49 = 0. Calculate r.
-22, 0
Let k(v) be the first derivative of 5*v**6/8 - 7*v**5/20 - 49*v**4/16 - 3*v**3/4 + 13*v**2/4 + 2*v + 672. Find l such that k(l) = 0.
-1, -1/3, 4/5, 2
Factor 720750*b + 930*b**2 + 2/5*b**3 + 186193750.
2*(b + 775)**3/5
Let c(d) = 14*d**2 + 58*d + 92. Let f(u) = 9*u**2 + 38*u + 59. Let v(r) = -5*c(r) + 8*f(r). Determine h, given that v(h) = 0.
-6, -1
Factor 33*w**3 + 53*w**3 - 31*w**3 - 60*w**2 + 5*w**4.
5*w**2*(w - 1)*(w + 12)
Suppose a - 9 = f - 11, 0 = 4*a - f - 4. Facto