3702/21. Find o, given that 4*o - u*o**2 + 4/3 = 0.
-2/7, 2
Let y(z) be the third derivative of z**5/12 - 5*z**4/4 - 40*z**3/3 - z**2 + 5*z. Factor y(o).
5*(o - 8)*(o + 2)
Determine x so that 57/2*x**2 - 3/4*x**5 + 0*x**4 + 99/4*x + 15/2 + 12*x**3 = 0.
-2, -1, 5
Suppose 0 = -i - 3*g, 2*g + 2*g = 5*i - 57. Suppose -4*h + 5*y + 9 = -3, -3*h + y + i = 0. Factor -1/3 - 1/6*m**h + 5/6*m + 1/6*m**4 - 1/2*m**2.
(m - 1)**3*(m + 2)/6
Let p = 3636/7 + -3630/7. Factor -6/7*s**3 + 0 - 2/7*s - p*s**2 - 2/7*s**4.
-2*s*(s + 1)**3/7
Let f(p) be the first derivative of -p**4/12 - 7*p**3/9 - 7*p**2/3 - 8*p/3 - 128. Factor f(x).
-(x + 1)*(x + 2)*(x + 4)/3
What is f in 0*f + 3/2*f**4 + 0 - 3/4*f**5 + 57/4*f**3 - 15*f**2 = 0?
-4, 0, 1, 5
Let v(z) = -z**4 + 2*z**3 + z + 6. Let k(j) = -25*j**3 + 45*j**2 - 10*j - 120. Let c(b) = -k(b) - 20*v(b). Factor c(f).
5*f*(f - 2)*(f + 1)*(4*f + 1)
Let o = 4 - 141. Let a = o - -275/2. Let 1/2 + n**3 + 0*n**2 - a*n**4 - n = 0. Calculate n.
-1, 1
Let x(l) be the first derivative of -3*l**3 + 3*l**2 + 1/2*l**4 - 1 + 0*l - 1/30*l**5. Let u(t) be the second derivative of x(t). Find q, given that u(q) = 0.
3
Let b(o) be the second derivative of -o**5/70 + 2*o**4 - 84*o**3 - 168*o. Factor b(i).
-2*i*(i - 42)**2/7
Suppose -18/5*m**4 + 0 + 3/5*m**5 - 6*m**2 + 36/5*m**3 + 9/5*m = 0. Calculate m.
0, 1, 3
Let d(c) be the second derivative of c**8/420 - c**6/45 + c**4/6 - 53*c**3/6 + 3*c. Let z(y) be the second derivative of d(y). Factor z(w).
4*(w - 1)**2*(w + 1)**2
Suppose 3*h - 5 = 13. Let u(l) = -l**3 + l**2 + l - 1. Let g(w) = 2*w**3 - 4*w**2 - w + 3. Let i(d) = h*u(d) + 2*g(d). Factor i(t).
-2*t*(t - 1)*(t + 2)
Factor -9/4*p - 5/2 + 1/4*p**2.
(p - 10)*(p + 1)/4
Suppose -15 = -4*o + 1. Let -14*i**2 + 2*i - 3*i**3 + o*i + 11*i**2 = 0. Calculate i.
-2, 0, 1
Suppose b = -w - 4 + 12, -3*b + 6 = 0. Let 6*u**3 + 8*u**2 + w*u**3 + 2*u**3 - 10*u**3 = 0. Calculate u.
-2, 0
Suppose -5*w = k - 54, 45 + 17 = 5*w + 3*k. Let v be (-4)/w + (-180)/(-75). Factor 11*z**3 - 8*z**v - 4*z**4 + 5*z**3 - 4*z**3.
-4*z**2*(z - 2)*(z - 1)
Let b(g) = -g**3 + 5*g**2 + 8*g + 1. Let j be b(6). Let d = -11 + j. Find x, given that 12 + 5*x + 5*x + 3*x**d + 2*x = 0.
-2
Let c(t) be the second derivative of -4/3*t**3 - 6*t - 7/6*t**4 + 0 - 4/7*t**2. Solve c(f) = 0 for f.
-2/7
Let z(o) be the first derivative of -7*o**6/2 + 114*o**5/5 - 213*o**4/4 + 52*o**3 - 18*o**2 + 82. Find g such that z(g) = 0.
0, 3/7, 1, 2
Suppose 46*o - 4 = 45*o. Determine q so that -3*q + 9/2*q**2 + 0 + 0*q**3 - 3/2*q**o = 0.
-2, 0, 1
Let j be 2/(-8) + (46/(-8) - -6). Let x(k) be the second derivative of 1/3*k**3 - 4*k - 1/20*k**5 + 0*k**2 + 1/12*k**4 + j. Factor x(f).
-f*(f - 2)*(f + 1)
Let m(u) be the third derivative of 0 + 0*u**4 + 0*u + 0*u**3 + 3*u**2 + 1/840*u**6 + 0*u**5. Factor m(h).
h**3/7
Let 1/6*k - 1/6*k**2 + 10/3 = 0. Calculate k.
-4, 5
Solve 62/5*u**3 + 0 - 36/5*u**4 - 8/5*u + 24/5*u**2 = 0 for u.
-1/2, 0, 2/9, 2
Let z(r) be the first derivative of 8/7*r + 5 + 2/21*r**3 + 4/7*r**2. Solve z(w) = 0 for w.
-2
Suppose 3*f = 10*f. Find z such that 20 - 23 + f*z**4 - 12*z**4 - 36*z**3 - 39*z**2 - 18*z = 0.
-1, -1/2
Let u = -5018 + 5020. Let o = -8/7 - -23/14. Determine n, given that 1 + 1/2*n - o*n**3 - n**u = 0.
-2, -1, 1
Let y**2 - 3*y**2 - 63 + 123 + 2*y = 0. What is y?
-5, 6
Let u(m) be the third derivative of 3*m**7/70 - 19*m**6/32 + 61*m**5/20 - 195*m**4/32 - 9*m**3/4 - 105*m**2. Determine a so that u(a) = 0.
-1/12, 2, 3
Let y be 10/(-3)*3008/(-940). Find h such that -34/3*h**2 + 80/3*h + 4/3*h**3 - y = 0.
1/2, 4
Let o(y) be the second derivative of y**4/30 - 76*y**3/15 - 77*y**2/5 - 5*y - 48. Factor o(r).
2*(r - 77)*(r + 1)/5
Let h = 108/427 + 2/61. Let j = 49 + -47. Let h*u - 2/7*u**3 + 0 + 0*u**j = 0. Calculate u.
-1, 0, 1
Let q = 1208/2005 + -1/401. Find t such that 0 - q*t**2 - 6/5*t = 0.
-2, 0
Let u(k) be the second derivative of -k**4/12 - 98*k**3/3 - 4802*k**2 - 254*k. Factor u(i).
-(i + 98)**2
Let t(v) be the first derivative of -3*v**3 - 7*v**2/2 + 2*v + 69. Factor t(y).
-(y + 1)*(9*y - 2)
Let y be -4*(4 + -4 + -2). Let f be ((-2)/y)/(38/16 + -3). Let 4/5*m**2 - 2/5 - f*m = 0. What is m?
-1/2, 1
Let b(o) be the first derivative of -4*o**6/105 - 9*o**5/70 - o**4/7 - o**3/21 + 31*o + 29. Let d(a) be the first derivative of b(a). Find k such that d(k) = 0.
-1, -1/4, 0
Let y(q) = q**3 - 14*q**2 + 2*q - 19. Let i be y(14). Suppose -12*t**2 + 6 + 6*t**4 - i*t**3 + 3*t**3 - 10 + 10 + 3*t + 3*t**5 = 0. Calculate t.
-2, -1, 1
Suppose -2 = -w - 0. Let 72*p - 18*p - 28*p**w + 4*p + 18*p + 24 = 0. Calculate p.
-2/7, 3
Solve -3/2*k**5 + 0*k - 15/2*k**3 + 0 + 0*k**2 + 9*k**4 = 0 for k.
0, 1, 5
Suppose 2*a = 3*h + a - 9, 5*a = h - 3. Factor 0*v + 8 - 2 - 6*v + 3*v**2 - h*v.
3*(v - 2)*(v - 1)
Let u(h) = -4*h**3 - 14*h**2 - 7*h + 3. Let d(q) = -7*q**3 - 27*q**2 - 15*q + 5. Let c(k) = 3*d(k) - 5*u(k). Factor c(f).
-f*(f + 1)*(f + 10)
Let b be (-7)/21 - 154/(-21). Let q(n) be the second derivative of 0*n**4 + 0 + 0*n**2 - 1/50*n**5 + 1/15*n**3 - b*n. What is s in q(s) = 0?
-1, 0, 1
Suppose -2*r + 65 = -c + r, -2*c - 5*r = 185. Let q = c - -82. Solve 1/2*j**q + 0 + 3/4*j**3 - 1/4*j = 0.
-1, 0, 1/3
Let t = -9186 - -9186. Find y, given that 16/5*y + t + 4/5*y**2 = 0.
-4, 0
Let s be 0 - -3*4/(-4). Let x be (9/s)/((-6)/16). Factor 4 - x*b - 3 + 3 + 4*b**2.
4*(b - 1)**2
Find w such that -39*w - 9*w**2 + 24200 - 17*w**2 + 47*w**2 - 19*w**2 - 401*w = 0.
110
Let i = -1208 - -1210. Factor -2/9*g**i - 44/9*g - 242/9.
-2*(g + 11)**2/9
Let t be 12/(-70)*240/(-18). Factor -t*f**2 + 4/7*f**4 - 4/7*f**3 - 4/7 - 2*f + 2/7*f**5.
2*(f - 2)*(f + 1)**4/7
Let k(g) be the third derivative of 1/840*g**8 + 11/300*g**6 + 0*g - 1/75*g**5 + 8/15*g**3 + 0 - 2/175*g**7 - 1/5*g**4 - 50*g**2. Factor k(b).
2*(b - 2)**3*(b - 1)*(b + 1)/5
Let b(j) be the first derivative of 2*j**6/3 - 8*j**5 + 17*j**4 - 32*j**3/3 + 328. Find n, given that b(n) = 0.
0, 1, 8
Solve 0*m + 1/4*m**3 - 3/4*m**2 + 1 = 0 for m.
-1, 2
Let n(b) be the second derivative of 5*b**7/42 - 13*b**6/6 + 12*b**5 - 85*b**4/3 + 80*b**3/3 - 187*b. What is j in n(j) = 0?
0, 1, 2, 8
Let b(f) be the second derivative of -f**7/2520 - f**6/720 - f**4/2 - 2*f. Let j(x) be the third derivative of b(x). Determine w, given that j(w) = 0.
-1, 0
Let w(d) be the third derivative of d**8/1008 - 2*d**7/315 - d**6/30 + 8*d**5/45 + 8*d**4/9 - 474*d**2. Solve w(q) = 0 for q.
-2, 0, 4
Suppose 5*u = u + 4*y, 0 = -2*u + 4*y - 8. Solve -18*q**3 - 19*q**3 + 2*q**2 + 43*q**3 - 8*q**u = 0 for q.
-1/4, 0, 1
Let z = 439808/483813 - -2/43983. Factor 6/11*x - z*x**2 + 4/11.
-2*(x - 1)*(5*x + 2)/11
Let k(c) = -c**2 - 36*c - 201. Let l be k(-7). Factor -5/2*s + 5/2*s**3 - 1/2*s**l + 3/2*s**4 - 1.
(s - 1)*(s + 1)**2*(3*s + 2)/2
Let m(f) = -f**3 - 3*f**2 - 4*f - 4. Let j be m(-2). Suppose j = -23*i + 24*i - 4. Factor -y + 26*y**5 - 25*y**5 - 3*y**i + y.
y**4*(y - 3)
Let g = 10205 - 10205. Solve g + 16/15*n**3 + 2/15*n**2 + 32/15*n**4 + 0*n = 0.
-1/4, 0
Let m(q) be the first derivative of -q**4/2 - 10*q**3/3 - 2*q**2 + 16*q - 246. Determine f, given that m(f) = 0.
-4, -2, 1
Let t(v) = -18*v**4 - 44*v**3 - 64*v**2 + 44*v + 26. Let q(r) = -4*r**4 - 9*r**3 - 13*r**2 + 9*r + 5. Let i(y) = -28*q(y) + 6*t(y). Factor i(f).
4*(f - 4)*(f - 1)*(f + 1)**2
Suppose -2*o - 2*o = -12, -1 = -x - o. Let h be 3/(-3)*(x + 0 - -2). Factor 2/3*c**2 + 2/3*c**3 + 0 + h*c.
2*c**2*(c + 1)/3
Let m(s) be the second derivative of -1/2*s**5 - 19/3*s**3 + 0 - 6*s**2 + 19*s - 3*s**4. What is u in m(u) = 0?
-2, -1, -3/5
Let f be ((-10)/6)/(1/(-3)). Suppose -324*s + f*s**2 + 349*s + 19 + 1 = 0. What is s?
-4, -1
Let s = -128 + 177. Let l be (10 - 3)*14/s. Solve 0 + 0*n + 4/5*n**l = 0.
0
Let y(v) = v**3 + v**2 - v - 1. Let m be y(-1). Suppose 4*s = -4*b - 8, m = -0*s - 2*s + 3*b + 16. Factor 8*a**3 - 5*a**2 - 5*a**2 + 5*a + 3*a - 4*a - s*a**4.
-2*a*(a - 2)*(a - 1)**2
Let d(y) be the first derivative of -y**5/25 + y**4/20 + 4*y**3/15 - 2*y**2/5 - 111. Factor d(o).
-o*(o - 2)*(o - 1)*(o + 2)/5
Let s(v) = -3*v**2 - 2*v - 1. Let g(o) = 11*o**2 + 434*o + 22901. Let h(m) = g(m) + 3*s(m). Solve h(b) = 0.
-107
Let h = -14851 + 133703/9. Factor 4/9*v**2 - h + 40/9*v.
4*(v - 1)*(v + 11)/9
Let p = 27/22 + -155/198. Let d(b) be the firs