-1)/(-2)). Determine o, given that 1/2*o**2 + 0 + d*o = 0.
-5, 0
Let i be -10 + 16332/510 - 22. Let j(w) be the second derivative of 0 + 2/51*w**3 + i*w**5 - 1/255*w**6 + 25*w - 5/102*w**4 + 0*w**2. Factor j(q).
-2*q*(q - 2)*(q - 1)**2/17
Let o(x) be the third derivative of x**6/1140 - 5*x**5/57 + 625*x**4/228 - 1195*x**2. Factor o(r).
2*r*(r - 25)**2/19
Let l(z) be the first derivative of -27*z - 15/8*z**2 - 36 + 1/4*z**3. Suppose l(k) = 0. Calculate k.
-4, 9
Suppose -4*j - 2*w - 6 + 14 = 0, 0 = 5*w + 20. Suppose 3*q + j*a = 2*q, 0 = -q + 5*a + 45. Factor 10 + 12*b**2 - 34 + q*b - 25*b**2 + 9*b**2.
-4*(b - 3)*(b - 2)
Suppose -52 = -2*k - 4*h, -29 = -5*k - 3*h + 108. Suppose k*i - 50 = 34. Determine t, given that 2/5*t**5 - t**i - t**2 + 2/5 + 3/5*t + 3/5*t**4 = 0.
-2, -1, -1/2, 1
Let k(s) be the second derivative of -s**7/70 - s**6/25 + 3*s**5/50 + s**4/5 - s**3/10 - 3*s**2/5 + 12*s + 28. Find h such that k(h) = 0.
-2, -1, 1
Let d = -310 - -315. Suppose 2*z = -d*r + 6, 16*r - 20*r + 14 = -3*z. Solve 3/8*n - 3/4*n**r - 3/8*n**5 + 0*n**3 + 0 + 3/4*n**4 = 0 for n.
-1, 0, 1
Let o(b) be the third derivative of 1/120*b**6 + 0*b**3 - 4*b + 1/20*b**5 + 1/12*b**4 - 20*b**2 + 0. Find x such that o(x) = 0.
-2, -1, 0
Suppose 3*j - 2*n - 21 = -6*n, j - 18 = -5*n. Let x be 1/3 + (-15)/(-45). Factor 2/7 + 10/21*w**2 - 2/21*w**j - x*w.
-2*(w - 3)*(w - 1)**2/21
Let k(c) = 4*c**4 + 22*c**3 - 2*c**2 - 22*c + 19. Let n(d) = -17*d - d**4 - 24*d - d**2 - 7*d**3 - 6 + 2*d**2 + 48*d. Let m(b) = 2*k(b) + 7*n(b). Factor m(l).
(l - 4)*(l - 1)**2*(l + 1)
Factor 9*k**3 - 222*k**2 + 3*k**4 - 12*k - 8*k - 73*k + 12*k**3 - 411*k.
3*k*(k - 7)*(k + 2)*(k + 12)
Let z(r) = r**2 - 11*r - 9. Let a be z(-1). Let s = 52 - -9. Solve -11 - 77*j + s*j - 2 - 4*j**2 - a = 0.
-2
Solve -38/5*t**2 + 63/5 - 87/5*t + 1/5*t**5 - 5*t**4 + 86/5*t**3 = 0.
-1, 1, 3, 21
Let p = -48932 - -48934. Factor -16/5*o**p - 2/5*o**3 - 32/5 - 8*o.
-2*(o + 2)**2*(o + 4)/5
Let a(f) be the third derivative of 3*f**8/616 + 40*f**7/231 - 397*f**6/660 - 148*f**5/165 + 97*f**4/33 + 32*f**3/11 - 19*f**2 + f. Let a(w) = 0. What is w?
-24, -1, -2/9, 1, 2
Let g(q) be the second derivative of -q**5/4 + 115*q**4/12 + 275*q**3/2 + 1305*q**2/2 + 789*q. Factor g(r).
-5*(r - 29)*(r + 3)**2
Let w(j) = -4*j**2 + 31*j - 27. Let c(f) = -f + 1. Suppose 0 = -3*m - 15, 4*r - 3*r = 5*m + 24. Let b(a) = r*w(a) - 3*c(a). Factor b(o).
4*(o - 6)*(o - 1)
Let o(d) be the first derivative of 4*d**3/3 + 166*d**2 - 336*d - 538. Determine z, given that o(z) = 0.
-84, 1
Suppose -38*g = -4065 + 3913. Factor 250/3 + 25/3*u - 15*u**2 - 13/3*u**3 - 1/3*u**g.
-(u - 2)*(u + 5)**3/3
Let a = 4091/24 - 508/3. Let h = -21401/2 - -10702. Let -a*g**2 + 3*g - h = 0. Calculate g.
2/3, 2
Suppose 5*o - 65 - 15 = -4*t, o - 4*t - 16 = 0. Suppose -r + o = 9. Factor -77*u**2 + 5*u**3 - 41*u + 290*u + 51*u + r*u**2 - 360.
5*(u - 6)**2*(u - 2)
Let t(z) = -3*z**4 + 756*z**3 - 1518*z**2 + 755*z - 10. Let p(k) = -2*k**4 + 378*k**3 - 759*k**2 + 377*k - 6. Let r(l) = 5*p(l) - 3*t(l). Factor r(n).
-n*(n - 1)**2*(n + 380)
Factor 0 - 55/2*j**4 + 0*j + 2*j**3 + 0*j**2.
-j**3*(55*j - 4)/2
Suppose 22*x + 112266 = 29*x. Let l be 18684/x + (-4)/54. Factor -l*z**4 - 16/11*z**2 + 0 + 0*z - 2/11*z**5 - 24/11*z**3.
-2*z**2*(z + 2)**3/11
Let t be 10 + -14 - (-4 - 3 - -1). Factor -2*k**2 + 13317*k - 13321*k + 0*k**t.
-2*k*(k + 2)
Let m be (-2 - (-28)/(-3))*((-51570)/360)/191. Find w, given that -33/4*w - 1/4*w**2 + m = 0.
-34, 1
Let r be (15/60)/(2/4)*-2. Let w(y) = -10*y**4 - 12*y**3 - 8*y**2 + 12. Let c(z) = z**4 - 2. Let x(u) = r*w(u) - 6*c(u). Factor x(b).
4*b**2*(b + 1)*(b + 2)
Let x(l) be the first derivative of l**4/3 - 40*l**3/3 + 102*l**2 + 78*l + 69. Let a(u) be the first derivative of x(u). Factor a(j).
4*(j - 17)*(j - 3)
Let g(q) be the third derivative of -2*q**7/315 - 23*q**6/30 - 12179*q**2. Factor g(p).
-4*p**3*(p + 69)/3
Let x = -3362 + 3378. Let d(w) be the second derivative of 8/57*w**3 - x*w - 4/19*w**2 + 0 + 1/190*w**5 - 5/114*w**4. Let d(g) = 0. What is g?
1, 2
Let h(w) be the first derivative of 6*w**3 + 19*w**2/2 + 13*w + 3. Let i(x) = 9*x**2 + 10*x + 6. Let s = -879 + 881. Let a(y) = s*h(y) - 5*i(y). Factor a(o).
-(3*o + 2)**2
Let g(j) be the first derivative of j**6/9 - 8*j**5/5 + 53*j**4/6 - 68*j**3/3 + 24*j**2 + 893. Let g(a) = 0. Calculate a.
0, 2, 3, 4
Let f(p) be the second derivative of 11 + 3/14*p**4 + 0*p**3 + 1/70*p**5 - 5*p + 0*p**2. Factor f(t).
2*t**2*(t + 9)/7
Let s(u) = -u**4 + 5*u**3 - 18*u**2 - 48*u - 17. Let t(v) = -44 + 93 + 6*v**2 - 43 - 2*v**3 + 16*v. Let g(y) = 2*s(y) + 7*t(y). Factor g(p).
-2*(p - 2)*(p + 1)**2*(p + 2)
Let j be (-6)/1 + 12740/1950. Factor -j*w - 2/15*w**3 - 8/15*w**2 + 0.
-2*w*(w + 2)**2/15
Let z(q) be the first derivative of -63/2*q**2 - q**3 - 69 - 60*q. Find k such that z(k) = 0.
-20, -1
Let m = 28256/5 - 28254/5. Factor -2/5*n**4 - 4/5*n**3 - 2/5 + m*n + 2/5*n**5 + 4/5*n**2.
2*(n - 1)**3*(n + 1)**2/5
Factor -76/11*a**2 + 4/11 - 150/11*a.
-2*(a + 2)*(38*a - 1)/11
Suppose -5*m - 303 = 2*g - 0*m, 2*g + 3*m + 305 = 0. Let r = 478/3 + g. Factor s**4 + 4/3 - 14/3*s**3 - r*s + 23/3*s**2.
(s - 2)*(s - 1)**2*(3*s - 2)/3
Let s(f) be the third derivative of -f**7/210 + 3*f**6/40 - 7*f**5/30 - f**4 - 136*f**2 + 2*f. Solve s(k) = 0 for k.
-1, 0, 4, 6
Suppose q + 4*a = 3, 8*a - 6*a = -4*q + 12. Suppose -1143574 + 3*d**q - 6*d**3 + d**3 - 176*d**2 - 322*d**2 - 41334*d = 0. What is d?
-83
Let c = -2529/44 - -646/11. Factor -5/2 - 5/4*u + c*u**2.
5*(u - 2)*(u + 1)/4
Let p be 2/(-38)*(20 + -13). Let v = p - -111/95. Factor -4/5 + 4/5*x**4 - 16/5*x**2 - 2/5*x**5 + v*x**3 + 14/5*x.
-2*(x - 1)**4*(x + 2)/5
Find l, given that 923*l**4 + 927*l**4 + 658*l**2 - 1769*l**4 - 480*l + 128 - 387*l**3 = 0.
8/9, 1, 2
Suppose -1/3*g**5 + 0 + 13*g**3 - 4/3*g**2 - 52/3*g - 10/3*g**4 = 0. Calculate g.
-13, -1, 0, 2
Let c(q) = -q**2 + 10*q + 303. Let t be c(23). Suppose -4*m = 2*r - 10, -m - 2*r + 5 - t = 0. Factor 0*y**2 + 0 + 8/3*y - 2/3*y**m.
-2*y*(y - 2)*(y + 2)/3
Suppose -188*t + 302 = -51 - 399. Let q(h) be the first derivative of 8 + 0*h**2 + 0*h + 1/8*h**t - 1/12*h**3. Factor q(a).
a**2*(2*a - 1)/4
Suppose -262*g - 492*g = 297*g + 51*g - 4408. Determine y, given that y**2 - 17/2*y + 1/2*y**5 + 4*y**g - 5 + 8*y**3 = 0.
-5, -2, -1, 1
Let v = -13 + 16. Let g be v + 2 + 1 + -4. Suppose 14*o**4 - 20*o**g - 10*o**3 + 12*o - 3*o**4 + 5 + 9 - 5 - 2*o**5 = 0. What is o?
-1, -1/2, 1, 3
Let w(c) = -29*c - 27. Let g be w(-4). Let s = 95 - g. Factor -s*n**3 - 7*n - n**4 + 2*n**5 - n**4 - 2*n + 10*n**2 + 5*n.
2*n*(n - 1)**3*(n + 2)
Let l(o) be the first derivative of 2*o**3/3 + 98*o**2 - 7262. Factor l(n).
2*n*(n + 98)
Factor -20270 - 132321 - 1252*t**2 + 2240*t + 1247*t**2 - 131664 + 33375.
-5*(t - 224)**2
Let b(k) be the second derivative of 7*k - 20*k**2 + 35/12*k**4 + 1 - 65/3*k**3. Factor b(h).
5*(h - 4)*(7*h + 2)
Suppose 11*d - 41 = 91. Suppose -d*a + 33 = -a. Factor 4/5*x**a - x - 2/5 - 2/5*x**2 + 1/5*x**5 + 4/5*x**4.
(x - 1)*(x + 1)**3*(x + 2)/5
Let c be -3 + (144/(-45) + -2)/(462/(-275)). Factor 2/21*i**4 + 2/21*i**3 + 0*i - 2/21*i**2 - c*i**5 + 0.
-2*i**2*(i - 1)**2*(i + 1)/21
Let s = 348443 + -348441. Suppose -72/7*q + 2/7*q**s + 648/7 = 0. What is q?
18
Let w be ((-2)/(-4)*-1)/(62/(-62)). Let b(n) = 2*n**2 - 8*n - 62. Let d be b(8). Factor 0*h + 3/2*h**3 + 0*h**d + 0 - 2*h**4 + w*h**5.
h**3*(h - 3)*(h - 1)/2
Let r = -123970 + 123974. Factor -3/2*y**3 - 25/8 - 23/4*y**2 - 15/2*y - 1/8*y**r.
-(y + 1)**2*(y + 5)**2/8
Suppose -52*x + 288 = -36*x. Suppose -x = -7*w - 4. Find z such that -4/3*z**2 - 2*z + 2/3*z**5 + 4/3*z**3 + w*z**4 - 2/3 = 0.
-1, 1
Suppose 0 = -334*w + 336*w. Let k(n) be the second derivative of w*n**3 + 14*n - 1/10*n**6 + 0 + 0*n**2 + 0*n**5 + 0*n**4. Factor k(u).
-3*u**4
Let u = 78115 - 78113. Suppose 0*d - 2/5*d**5 - u*d**3 - 12/5*d**4 + 0 + 0*d**2 = 0. Calculate d.
-5, -1, 0
Let z(n) be the third derivative of 0*n + 0*n**3 - 7/60*n**4 - 1/150*n**5 + n**2 + 10. Factor z(y).
-2*y*(y + 7)/5
Let v(b) be the third derivative of 0 + 325*b**2 - 1/48*b**5 + 0*b - 6615/8*b**3 + 105/16*b**4. Factor v(o).
-5*(o - 63)**2/4
Let b(u) be the first derivative of u**4/14 - 58*u**3/21 - 4*u**2/7 + 232*u/7 + 1950. Factor b(w).
2*(w - 29)*(w - 