. Let m be h(8). Factor 4*s**g + 16/3*s - m*s**2 + 0 - 2/3*s**4.
-2*s*(s - 2)**3/3
Let b(z) be the second derivative of -z**4/3 + 128*z**3/3 - 126*z**2 - z + 1866. Determine r so that b(r) = 0.
1, 63
Let o(a) be the second derivative of a**7/1155 + a**6/330 - a**4/66 - a**3/33 - 51*a**2/2 + a - 11. Let y(g) be the first derivative of o(g). Factor y(s).
2*(s - 1)*(s + 1)**3/11
Suppose -5*m + m = 72. Let r = 21 + m. Factor -2*x**2 + 9*x**5 - 1 - 3*x - 11*x**5 + 2*x**3 + 3*x**4 + r*x**5.
(x - 1)*(x + 1)**4
Let m(w) be the second derivative of 12*w**7/7 - 6*w**6/5 - 4*w**5 + 3*w**4 + 4*w**3/3 - 872*w. Determine x, given that m(x) = 0.
-1, -1/6, 0, 2/3, 1
Let z = 125/66 + 20/33. Let j = -489 - -489. Factor j - z*g - 35/4*g**2.
-5*g*(7*g + 2)/4
Determine b, given that 118/3*b**3 + 26*b**4 + 0 - 16*b**2 + 0*b = 0.
-24/13, 0, 1/3
Let w(r) be the first derivative of 3/4*r**4 + 11/2*r**2 - 7 + 1/30*r**5 + 8/3*r**3 + 0*r. Let i(a) be the second derivative of w(a). Let i(y) = 0. Calculate y.
-8, -1
Let n(o) = -10*o + 12. Let u be n(0). Let p = u + -5. Factor x**4 + 4*x**3 - 12*x**3 - 4*x**2 + p*x**4 + 8*x - 4*x**4.
4*x*(x - 2)*(x - 1)*(x + 1)
Factor -131*k**2 - 16*k**3 + 12947*k + 13261*k + 600 - 183*k**2 + 12867*k - 40555*k.
-2*(k + 10)**2*(8*k - 3)
Determine s, given that -6*s - 1/3*s**4 + 6*s**3 - 55/3*s**2 + 56/3 = 0.
-1, 1, 4, 14
Factor -74 - 72*p + 1/2*p**3 - 33/2*p**2.
(p - 37)*(p + 2)**2/2
Let n = 125033 + -125031. Solve -8/3 - 5/6*o**4 - 32/3*o - 16/3*o**3 - 12*o**n = 0.
-2, -2/5
Let j = -27/481 + 19655/24531. Let g(s) be the first derivative of -j*s**3 + 43 + 0*s - 2/17*s**2. Find h, given that g(h) = 0.
-2/19, 0
Let j(p) be the third derivative of p**5/420 - 5*p**4/7 - 121*p**3/42 - 6742*p**2 - 2*p. Determine l, given that j(l) = 0.
-1, 121
Factor 114*f**2 + 7*f**2 + 385*f + 1013 + 3*f**3 + 410*f + 787 - 19*f**2.
3*(f + 5)**2*(f + 24)
Factor 89*y - 7921/2 - 1/2*y**2.
-(y - 89)**2/2
Let r = -11502 - -11502. Let z(m) be the second derivative of 2/9*m**3 - 1/18*m**4 + r + 24*m + 0*m**2 - 1/30*m**5. Determine y, given that z(y) = 0.
-2, 0, 1
Let u(s) be the first derivative of s**5/15 - s**4/2 - 8*s**3/3 - 37*s**2 + 60. Let r(t) be the second derivative of u(t). Suppose r(n) = 0. Calculate n.
-1, 4
Let j(t) be the second derivative of t**6/55 - 21*t**5/55 + 2*t**4 - 40*t**3/11 - 46*t - 5. Determine c so that j(c) = 0.
0, 2, 10
Let w(o) be the third derivative of -9/70*o**7 + 0*o - 1/20*o**5 + 0*o**4 + 0 - 65*o**2 - 1/28*o**8 - 3/20*o**6 + 0*o**3. Find p such that w(p) = 0.
-1, -1/4, 0
Let x(i) = i**2 - i + 1. Let u(c) be the first derivative of -2*c**5/5 - 5*c**4/2 - 10*c**3/3 + c**2 - 2*c - 77. Let o(d) = u(d) + 2*x(d). Factor o(z).
-2*z**2*(z + 1)*(z + 4)
Factor -684*n - 20*n + n**2 - n**2 + n**2 + 3*n**2.
4*n*(n - 176)
Let l(f) = -12*f + 1996 - 1960 + f**2 - 6*f. Let p(w) = w**2 - 20*w + 36. Let o(n) = 4*l(n) - 3*p(n). Determine m so that o(m) = 0.
6
Let n = 462 + -381. Let -97*u - 138 - 135*u**2 - n*u**3 + 120 + 10*u - 15*u**4 = 0. Calculate u.
-3, -1, -2/5
Let r(y) = y**2 - 1. Let q(m) = -16 + 2*m**3 + 5*m**4 - 2*m**2 - 4*m**4 + 4*m - 6*m + 5 + 12. Let h(o) = 3*q(o) + 3*r(o). Factor h(p).
3*p*(p - 1)*(p + 1)*(p + 2)
Determine l so that -4255*l**2 + 431 + 3600*l**2 - 1711 - 5*l**3 - 2525*l + 595*l = 0.
-128, -2, -1
Let u = 10781 - 10781. Let v(c) be the first derivative of 3/4*c**5 - 5/3*c**3 + 0*c**2 + u*c - 55/16*c**4 - 10. Factor v(x).
5*x**2*(x - 4)*(3*x + 1)/4
Factor -159*t**2 - 150*t - 221*t**3 - t**5 - 126*t**2 - 27*t**4 - 10*t**4 - 84*t**2 + 34*t**2.
-t*(t + 1)**2*(t + 5)*(t + 30)
Let w = -569795 + 569797. Let -156*k - 1/2*k**4 - 59*k**w - 169/2 + 12*k**3 = 0. What is k?
-1, 13
Let r(l) be the second derivative of -l**6/195 + 8*l**5/65 - 85*l**4/78 + 50*l**3/13 + 2196*l. Solve r(f) = 0.
0, 5, 6
Let m(a) = a**2 + 4*a + 7. Let k be m(-2). Determine w so that 19*w**3 - 37*w**3 + w**4 + 6*w**k = 0.
0, 12
Let w(a) be the third derivative of 0 + 0*a - 20*a**2 + 1/72*a**6 + 1/12*a**5 - 9/2*a**3 + 0*a**4. Let m(i) be the first derivative of w(i). Factor m(b).
5*b*(b + 2)
Let k be ((-4 + 3)*0)/(-2). Let f be (0 + k)/(4*(-27)/36). Factor 0 + 1/2*u**2 + f*u.
u**2/2
Let j = -62461 - -816473/13. Solve -8/13*t**4 - 1584/13*t**2 + j*t + 194/13*t**3 - 1024/13 = 0 for t.
1/4, 8
Let g(o) be the first derivative of 2*o**3/27 + 2*o**2 + 10*o + 70. Factor g(s).
2*(s + 3)*(s + 15)/9
Let z(d) = 12*d**3 - 2*d**2 - 68*d + 28. Let n(k) = 4*k**3 - k**2 - 22*k + 10. Let j(w) = -10*n(w) + 3*z(w). Factor j(i).
-4*(i - 2)*(i - 1)*(i + 2)
Let x be (69/(-90) + (-23)/(-230))*(-6 + (-377)/(-78)). Let 0 - x*d**3 - 2/9*d**2 + d**4 + 0*d = 0. What is d?
-2/9, 0, 1
Factor 310472/11 + 2/11*k**2 + 1576/11*k.
2*(k + 394)**2/11
Let i = -7945 - -7945. Let y(j) be the third derivative of 4/33*j**3 + 0 + 0*j**4 + i*j - 16*j**2 - 1/330*j**5. Factor y(a).
-2*(a - 2)*(a + 2)/11
Let c = -347409 + 347413. Factor 0 - 5*k**2 + 8*k**3 - 25/3*k + 16/3*k**c.
k*(k - 1)*(4*k + 5)**2/3
Let h(q) = 14*q**2 + 26*q + 8. Let k = -75 + 72. Let l(t) = 5*t**2 + 9*t + 3. Let n(g) = k*h(g) + 8*l(g). Factor n(f).
-2*f*(f + 3)
Let r(m) be the second derivative of 2 + 0*m**2 + 38*m + 1/13*m**3 - 1/78*m**4. Suppose r(s) = 0. Calculate s.
0, 3
Let l(i) be the first derivative of 4/15*i**3 - 1/15*i**4 + 0*i**2 - 1/25*i**5 - 6*i + 32. Let v(n) be the first derivative of l(n). Solve v(a) = 0.
-2, 0, 1
Let r(k) be the first derivative of -1/11*k**4 + 2/55*k**5 + 0*k + 47 + 2/33*k**3 + 0*k**2. Let r(n) = 0. What is n?
0, 1
Let v(n) = n**2 + 11*n. Let x(y) = -5*y**4 + 7080*y**3 - 2506325*y**2 - 55*y. Let l(d) = -5*v(d) - x(d). Find q such that l(q) = 0.
0, 708
Let s(z) be the third derivative of -z**7/504 - 7*z**6/72 + 11*z**4/8 - 4*z**2. Let q(g) be the second derivative of s(g). Factor q(a).
-5*a*(a + 14)
Suppose -32*n + 536*n**4 + 543*n**4 + 47*n**5 - 192*n**3 + 3*n**5 - 1039*n**4 - 160*n**2 = 0. What is n?
-2, -2/5, 0, 2
Let a(k) be the second derivative of 13467*k**4/4 - 134*k**3 + 2*k**2 + 977*k. Factor a(u).
(201*u - 2)**2
Let p(k) be the third derivative of k**8/756 - 34*k**7/945 - k**6/54 + 17*k**5/27 + 2*k**4/27 - 136*k**3/27 + 4446*k**2 - k. Solve p(c) = 0.
-2, -1, 1, 2, 17
Let h be (-2)/(-3 - 28/(-8)). Let s be ((-4)/(-6))/(h/(-12)). Solve -164*d**s + 159*d**2 - 5 - d + 11*d = 0 for d.
1
Let m = 1017 + -583. Let g be m/124 + 2/4. Factor 7/2*z**5 + 0 - 9/2*z**g + z**3 + 0*z**2 + 0*z.
z**3*(z - 1)*(7*z - 2)/2
Let h(u) = u**3 - 7*u**2 + 7*u + 14. Let p be h(8). Let i = p - 119. Let -i*j + 1767 - 1767 + 5*j**2 = 0. Calculate j.
0, 3
Let a(s) be the second derivative of -s**6/150 - 18*s**5/25 - 47*s**4/20 - 7*s**3/3 - 47*s - 5. Suppose a(l) = 0. What is l?
-70, -1, 0
Let g(w) be the third derivative of w**6/120 + 19*w**5/12 + 133*w**4/12 - 460*w**3/3 - 4669*w**2. Factor g(r).
(r - 2)*(r + 5)*(r + 92)
Let j be (-45)/12*(-6552)/2925 + -8. Find y, given that 2*y - 4/5 + j*y**4 - 6/5*y**2 - 2/5*y**3 = 0.
-2, 1
Suppose -33/4 - 19/4*f - 1/4*f**3 + 13/4*f**2 = 0. Calculate f.
-1, 3, 11
Let g(h) = 9*h - 6. Let t be g(1). Let k be 34/8 - (-2)/(-8). Solve -k*f**4 + f**2 - 6*f**3 - 12*f**3 + 39*f + 3*f - t*f**2 - 18 = 0 for f.
-3, 1/2, 1
Let a be 84/(-21)*(0 - 2/2). Suppose 5*f - 5*x = -5, 0*x + 16 = a*f + x. Let -2*s**3 - 15*s**2 + 4*s**3 + 20 + 3*s**f = 0. What is s?
-1, 2
Let t(b) = -b**4 + b**2 + b. Let w(m) = 3*m**5 - 4*m**4 - 37*m**3 - 22*m**2 + 46*m + 16. Let y(z) = -2*t(z) + w(z). Determine q, given that y(q) = 0.
-2, -1/3, 1, 4
Let h be (1/1)/((-217)/(-35) - 6). Let s(z) be the second derivative of -8/3*z**4 - 10*z + 0 + z**h - 8/3*z**3 + 0*z**2. Determine n, given that s(n) = 0.
-2/5, 0, 2
Let n = -46 + 48. Suppose 7*a - 14*a = -18368. Suppose -252*z**2 - 40*z**3 + 63*z + 3310 - n*z**4 - 455*z - a = 0. Calculate z.
-7, 1
Let k(j) be the second derivative of 11*j - 1/8*j**3 - 1/168*j**7 - 1/24*j**4 + 0*j**6 - 2 + 1/20*j**5 + 1/4*j**2. Factor k(d).
-(d - 1)**3*(d + 1)*(d + 2)/4
Let m(x) = -28*x**2 - 104*x + 100. Let y(d) = 4*d**2. Let g(c) = -m(c) - 8*y(c). Factor g(t).
-4*(t - 25)*(t - 1)
Factor -945 - 5/3*a**2 + 120*a.
-5*(a - 63)*(a - 9)/3
Solve 262*q**2 + 834*q**2 - 2080*q - 51*q**2 - 1 - 5 - 14 = 0.
-2/209, 2
Suppose p = 3*p - 2*c - 10, 5*p - c - 17 = 0. What is j in 77*j**p + 105 + 625*j - 60*j**3 + 