) = 26*x**5 + 67*x**4 - 135*x**3 + 273*x**2 - 11. Let s(n) = -9*n**5 - 23*n**4 + 45*n**3 - 97*n**2 + 4. Let q(y) = -11*s(y) - 4*w(y). Factor q(j).
-5*j**2*(j - 1)**2*(j + 5)
Let o = -1/78909 - -282652043/394545. Let y = o + -711. Find d, given that -2/5*d**4 - 81/5*d - y - 19/5*d**3 - 63/5*d**2 = 0.
-3, -1/2
Let s(o) = 2*o**2 - 48*o - 98. Let q be s(28). Let h be 54/q + (-1 - 8/(-14)). Factor -k**3 + 2/3*k**2 + 1/3*k**5 + 0 + h*k + 0*k**4.
k**2*(k - 1)**2*(k + 2)/3
Let x(v) be the first derivative of -v**6/60 - v**5/40 + 7*v**4/24 + 13*v**3/12 + 3*v**2/2 - 8*v - 131. Let f(r) be the first derivative of x(r). Factor f(y).
-(y - 3)*(y + 1)**2*(y + 2)/2
Suppose -6*u = -4*u - 14. Let a(t) = -t**3 + 6*t**2 + 6*t + 20. Let b be a(u). Factor -34*v**2 + 4 + 15*v**2 - 18*v + 14*v**2 + b*v**2.
2*(v - 2)*(4*v - 1)
Let -1128/11 + 70/11*r + 2/11*r**2 = 0. Calculate r.
-47, 12
Let l(c) be the third derivative of -c**5/690 - 25*c**4/138 + 72*c**3/23 - 1104*c**2. Suppose l(w) = 0. Calculate w.
-54, 4
Let b(a) be the third derivative of a**8/20160 - a**7/168 + 29*a**6/720 - 26*a**5/15 - 2*a**2 - 103*a. Let q(i) be the third derivative of b(i). Factor q(h).
(h - 29)*(h - 1)
Suppose -1152 - 1856 = -8*j. Let a be 5 + 0 + j/(-80). Factor 1/5 - a*o**3 - 1/10*o**4 + 3/10*o - 1/10*o**2.
-(o - 1)*(o + 1)**2*(o + 2)/10
Let y(a) = 25*a**2 + 8*a - 44. Let r(l) = -l**3 + 6*l**2 + 6*l - 39. Let k be r(6). Let x(f) = 9*f**2 + 3*f - 15. Let s(o) = k*y(o) + 8*x(o). Factor s(v).
-3*(v - 2)*(v + 2)
Let w be ((-8)/(-196))/((-75)/(-2100)). What is v in 0*v**4 + 4/7*v**2 + w*v**3 - 2/7*v**5 - 4/7 - 6/7*v = 0?
-1, 1, 2
Let h(p) be the third derivative of -29*p**5/30 + 37*p**4/16 + 5*p**3/12 - 3*p**2 + 9*p. Find g such that h(g) = 0.
-5/116, 1
Let c(d) be the first derivative of -d**5/4 - 35*d**4/12 + 20*d**3/3 - 58*d - 6. Let q(t) be the first derivative of c(t). Factor q(a).
-5*a*(a - 1)*(a + 8)
Let c(g) = -3*g**4 - 565*g**3 - 894*g**2 + 4*g. Let q(l) = -15*l**4 - 2826*l**3 - 4416*l**2 + 21*l. Let d(u) = -21*c(u) + 4*q(u). Factor d(i).
3*i**2*(i + 2)*(i + 185)
Suppose -456 + 1540 = 129*b - 1109. Let q(i) be the first derivative of -3/2*i**2 + 0*i + 1/4*i**4 + 2/3*i**3 + b. What is t in q(t) = 0?
-3, 0, 1
Factor 3*a**2 + 0*a**3 - 3/2*a**4 + 0*a - 3/2.
-3*(a - 1)**2*(a + 1)**2/2
Let x(g) be the first derivative of 2*g**3/3 - 8*g**2 - 360*g - 2376. What is j in x(j) = 0?
-10, 18
Let k(y) be the third derivative of y**6/40 + 3811*y**5/60 + 1210945*y**4/24 + 403225*y**3/6 + 26*y**2 + 22*y - 1. Factor k(o).
(o + 635)**2*(3*o + 1)
Determine a so that 3*a**5 - 99/5*a**4 - 39 + 294/5*a**2 + 66/5*a**3 - 81/5*a = 0.
-1, 1, 13/5, 5
Let o(r) = 5*r**2 - 3*r - 10. Let k = 533 - 531. Let s(z) = -10*z**2 + 5*z + 20. Let y(c) = k*s(c) + 5*o(c). Factor y(x).
5*(x - 2)*(x + 1)
Let m = -341976 - -1709886/5. Suppose -7/5 + 1/5*k**2 - m*k = 0. What is k?
-1, 7
Let h(l) be the first derivative of -3/8*l**4 - 72 + 33/4*l**2 - 2*l**3 - 9*l. Determine c so that h(c) = 0.
-6, 1
Let q = 44367 - 44360. Let v(p) be the third derivative of 0*p**3 + 0*p**5 + 0*p**4 + 0*p - 48*p**2 + 0 + 1/1575*p**q - 1/900*p**6. Let v(d) = 0. Calculate d.
0, 1
Let k(c) be the third derivative of c**9/1512 - c**8/140 + c**7/84 + 31*c**3/2 + c**2 - 85. Let g(a) be the first derivative of k(a). Factor g(x).
2*x**3*(x - 5)*(x - 1)
Let y be 10572/75*70/28. Let c = y + -352. Solve 0 + 2/15*u**2 + c*u = 0.
-3, 0
Let k = 8371 - 669679/80. Let z(v) be the third derivative of k*v**6 - 1/4*v**4 + 15*v**2 - 1/20*v**5 + 2*v**3 + 0*v + 0. Factor z(d).
3*(d - 2)**2*(d + 2)/2
Let l(k) be the first derivative of k**7/3780 - k**5/45 - 4*k**4/27 + 2*k**3/3 + 2*k - 72. Let p(w) be the third derivative of l(w). Factor p(f).
2*(f - 4)*(f + 2)**2/9
Let z(u) = 379*u - 242. Let p be z(5). Determine x so that 28*x + 21*x**3 - 24*x**2 + 0*x**2 + x**4 - 18*x**3 - p + 1653 = 0.
-7, 0, 2
Let u be ((-28)/(-12))/(2856/31824). Let -1/2*x**2 + u + 12*x = 0. What is x?
-2, 26
Let y(z) be the second derivative of -z**5/10 + 23*z**4/6 - 80*z**3/3 + 76*z**2 + 12*z + 6. Factor y(t).
-2*(t - 19)*(t - 2)**2
Let f(n) = n**3 - 2*n**2 - 7059*n + 340. Let k be f(85). Factor 1/7*v**2 + 3/7*v + k.
v*(v + 3)/7
Suppose z + 2*b - 40 = 0, 0 = -4*z + b - 6*b + 166. Let v be ((-42)/4)/(-7) + (-55)/z. Factor -1/4 - v*w**2 - 1/2*w.
-(w + 1)**2/4
Let f = -19370/37 + 96998/185. Suppose 2/5*g**3 - f*g**2 + 0 + 0*g + 2/5*g**4 = 0. What is g?
-2, 0, 1
Let x(w) = w - 2. Let y be x(3). Suppose -5*c + y = 7*z - 4*z, -3*z - 4*c + 2 = 0. Find p, given that 0 + 4 + 0*p**3 + 2*p**3 + p**4 - 4*p - 3*p**z = 0.
-2, 1
Let p be 432*(73542/2295 + -32). Solve 12*q**2 - 57/5*q**3 + 3/5*q**5 - p - 18/5*q**4 + 108/5*q = 0.
-2, 1, 8
Let d be 4/40 - 399/(-10). Factor 5*p**3 + 47*p**2 + 47*p**2 - 69*p**2 - d + 10*p.
5*(p - 1)*(p + 2)*(p + 4)
Solve 0 + 6*s**2 - 2/11*s**3 - 64/11*s = 0 for s.
0, 1, 32
Let s(i) = 7*i**2 + i. Let x be s(-1). Let u be (-15)/(-6) + (-3)/x. Factor 11*y**3 - 4*y**u - y**2 - 8 + 4*y - 15*y**3 + 13*y**2.
-4*(y - 2)*(y - 1)*(y + 1)
Suppose 0 = -189*m + 9*m + 748 - 208. Factor -4*o**2 + 18/5*o - 4/5 + 6/5*o**m.
2*(o - 2)*(o - 1)*(3*o - 1)/5
Let g be ((2484/(-90) - -13) + 14)/(4/(-10)). Find d, given that 1/2*d**2 + 3/2*d**3 - g*d - d**4 + 1/2 = 0.
-1, 1/2, 1
Let x(z) = 4*z**3 - 12*z**2 + 32*z + 52. Let q(j) = 4*j**3 - 7*j**2 + 35*j + 51. Let l(o) = -4*q(o) + 5*x(o). Find w such that l(w) = 0.
-1, 2, 7
Let n(x) be the first derivative of x**5/15 + 5*x**4/12 + 8*x**3/9 + 2*x**2/3 - 1524. Factor n(v).
v*(v + 1)*(v + 2)**2/3
Suppose -9*f - 7*f - 48 = 0. Let x(o) = -2*o**2 - 36*o + 32. Let g(i) = -25*i**2 - 430*i + 385. Let b(l) = f*g(l) + 35*x(l). Find p, given that b(p) = 0.
-7, 1
Let d(y) = 2035*y + 54947. Let j be d(-27). Solve -8/3*w + 0 - 4/9*w**j = 0 for w.
-6, 0
Let q be (-16)/(-6) + 2/3*-1. Let -23 + 83 + 2*m**q + 3*m**2 + 65*m = 0. What is m?
-12, -1
Let l(d) be the first derivative of -2*d**5/45 + 5*d**4/9 - 46*d**3/27 + 14*d**2/9 - 3445. Factor l(s).
-2*s*(s - 7)*(s - 2)*(s - 1)/9
Find b such that -187 - 776*b + 657*b + 558*b**2 - 85 + 8*b**3 + 1067*b + 0*b**3 = 0.
-68, -2, 1/4
Solve 4900/3*u + 5000/3 - 199/6*u**2 + 1/6*u**3 = 0 for u.
-1, 100
Let p(i) be the third derivative of -i**7/630 + 73*i**6/120 - 539*i**5/90 + 143*i**4/6 - 428*i**3/9 + 8*i**2 - 61*i - 1. What is v in p(v) = 0?
1, 2, 214
Let q(n) be the first derivative of -n**6/60 + n**5/5 - n**2 - 3*n + 69. Let o(d) be the second derivative of q(d). Solve o(r) = 0.
0, 6
Suppose -2*l - 3*s + 5*s - 14 = 0, -4*s - 4 = 4*l. Let d = 12 + l. Factor -4*g + 7*g**4 + 8*g**3 - d*g**5 + 4*g**5 + 4 + 6*g**2 - 3*g**4 - 14*g**2.
-4*(g - 1)**3*(g + 1)**2
Suppose 11 = 4*p - 5. Let m(s) = s - 7. Let l be m(9). Factor -35*w**5 - 1 - 3*w + l*w**3 + 74*w**5 + 3*w**p - 38*w**5 - 2*w**2.
(w - 1)*(w + 1)**4
Let i be (5/(-60))/((19 + -21)*(-7)/(-798)). Solve -i*n + 0 + 1/4*n**2 = 0.
0, 19
Let d(z) be the third derivative of -z**7/1680 - 11*z**6/480 + 3*z**5/20 - 29*z**4/24 - 4*z**2 + z. Let s(h) be the second derivative of d(h). Factor s(k).
-3*(k - 1)*(k + 12)/2
Let o(r) be the first derivative of r**8/1680 - 58*r**3/3 + 77. Let a(x) be the third derivative of o(x). Solve a(l) = 0.
0
Solve -17*v - 16 - 120*v**2 + 137*v**2 - 18*v**2 = 0 for v.
-16, -1
Let m = -261 - -289. Let -3*x**2 + x**3 - 5 + 3*x - m + 32 = 0. What is x?
1
Let o = -363419/5 + 72687. Factor -o + 64/5*z + 4*z**3 - 68/5*z**2.
4*(z - 2)*(z - 1)*(5*z - 2)/5
Let r(n) be the first derivative of -n**5/20 + 25*n**4/16 - 14*n**3 + 18*n**2 + 1166. What is g in r(g) = 0?
0, 1, 12
Let n be ((-2645919)/42)/43 + 1/14. Let f = 19047/13 + n. Factor -4/13*l**3 + 2/13*l**4 + f*l**2 + 0 + 0*l.
2*l**2*(l - 1)**2/13
Let b(v) = v**4 - 6*v**4 - 3*v**3 - v**3 + 4*v + 4. Let h(m) = 5*m**4 + 3*m**3 - 3*m - 3. Let g = -1106 + 1110. Let d(x) = g*h(x) + 3*b(x). Solve d(o) = 0.
0
Let y(v) be the second derivative of v**6/600 - v**5/75 - 45*v**2/2 + 274*v. Let x(i) be the first derivative of y(i). Factor x(o).
o**2*(o - 4)/5
Let a(z) be the second derivative of -z**5/90 - 65*z**4/27 + 131*z**3/27 + 2310*z. Suppose a(b) = 0. Calculate b.
-131, 0, 1
Let b(v) = 8*v**2 + 25*v - 18. Let t(f) = -10*f**2 - 26*f + 19. Let l(g) = 4*b(g) + 3*t(g). Let z(h) = h**2 + h + 1. Let k(s) = l(s) - 3*z(s). Factor k(i).