nd derivative of -5*j**7/42 + 8*j**6/3 - 53*j**5/4 + 155*j**4/6 - 20*j**3 - j + 124. What is u in y(u) = 0?
0, 1, 2, 12
Let w(c) = -7*c**3 - 5*c**2 - 3*c + 3. Let f = -78 + 75. Let u(x) = -6*x**3 - 6*x**2 - 2*x + 2. Let v(p) = f*u(p) + 2*w(p). Factor v(o).
4*o**2*(o + 2)
Let o = 2923/8796 - -3/2932. Factor -o*v**3 + 8/3 - 2/3*v**2 + 4/3*v.
-(v - 2)*(v + 2)**2/3
Let f be (-14 - -5) + -1 + 16/4. Let c be 4/f*(-1)/((-10)/(-21)). Factor -c*a**2 - 2/5*a + 1/5 - 4/5*a**3.
-(a + 1)**2*(4*a - 1)/5
Let d(v) be the second derivative of -2*v**6/45 - 2*v**5/15 + 5*v**4/3 + 8*v**3 + 8*v. Factor d(x).
-4*x*(x - 4)*(x + 3)**2/3
Suppose -2*s - 2*a = a + 1, 3*a - 11 = -5*s. Suppose -z + 10 = s*z. Solve 8*h**4 - 8*h**3 - 2*h**4 + 4*h**2 - 12*h**z = 0 for h.
-2/3, 0, 2
Let t(m) be the first derivative of -7 - 4/5*m**3 - 9/10*m**4 - 1/10*m**6 - 12/25*m**5 + 0*m - 3/10*m**2. Factor t(o).
-3*o*(o + 1)**4/5
Let b be (-10)/(-1 - 1) + -1. Factor -9*a**4 - a**4 + 13*a**4 - b*a**4.
-a**4
Let u(m) = 57*m**4 - 73*m**3 - 33*m**2 - 7*m + 7. Let b(j) = 29*j**4 - 36*j**3 - 16*j**2 - 4*j + 4. Let h = -71 - -64. Let a(i) = h*b(i) + 4*u(i). Factor a(c).
5*c**2*(c - 2)*(5*c + 2)
Let f(u) be the second derivative of -3/2*u**2 + 1/28*u**7 + 0 - 3/10*u**5 + 3/4*u**3 + 0*u**6 + 1/4*u**4 + 4*u. Factor f(i).
3*(i - 1)**3*(i + 1)*(i + 2)/2
Let r be 444/30 + 2/10. Suppose 0 = -2*o + 7*o - r. Factor 2*j**5 + o*j**5 - j**5 - 3*j**5 - 2*j**4 + j**3.
j**3*(j - 1)**2
Let g(i) = -i**3 + 5*i**2 - 14*i + 200. Let s be g(7). Factor -1/4*j**2 - 3/4*j**s + 0*j + 0 + 1/4*j**5 + 3/4*j**3.
j**2*(j - 1)**3/4
Let f be (3/45)/(304/570). Factor 2 - c + f*c**2.
(c - 4)**2/8
Let r be -45*3*4/(-36). Suppose -u - 4*u + r = 0. Let 3*g**4 - 8*g**2 - 12*g + 12*g**u - 11*g**4 + 5*g**2 + 7*g**2 + 4 = 0. What is g?
-1, 1/2, 1
Let w(q) be the first derivative of -q**5/100 + q**4/10 + q**3/2 + 4*q**2/5 - 47*q - 6. Let h(d) be the first derivative of w(d). Factor h(u).
-(u - 8)*(u + 1)**2/5
Let r = 6 + 6. Suppose -r = -4*f - 0*f. Factor 8*z**2 - 2*z**3 + 4*z + 4*z**4 + 12*z**f + 0*z**2 - 2*z.
2*z*(z + 1)**2*(2*z + 1)
Let r(n) be the second derivative of 0*n**3 + 0*n**4 + 1/84*n**7 + 0 + 1/20*n**6 - 18*n - 1/10*n**5 + 0*n**2. Determine i so that r(i) = 0.
-4, 0, 1
Let r = 528 - 525. Let i(d) be the second derivative of -6*d**2 + 11/2*d**r + 0 + 3/20*d**5 + 1/10*d**6 + 3*d - 9/4*d**4. Find s such that i(s) = 0.
-4, 1
Let m(l) be the first derivative of l**4/12 + 23*l**3/3 + 803. Factor m(h).
h**2*(h + 69)/3
Determine r, given that 8*r**3 - 22*r**2 - 28*r**3 + 45 + 8*r**2 - 26*r**2 + 15*r = 0.
-3/2, 1
Let a be -133 - -130 - (-53)/17*1. Suppose a*m**3 - 18/17*m**2 - 8/17 + 2/17*m**4 + 22/17*m = 0. Calculate m.
-4, 1
Let v = -1/89 + 181/267. Let f(m) be the second derivative of -v*m**3 - 1/12*m**4 + 3*m - 3/2*m**2 + 0. Let f(s) = 0. Calculate s.
-3, -1
Suppose 5*a + 14 = 134. Let l be (1/(-3))/((-4)/a). Solve -4*d**l + 0*d**2 + 4*d + 0*d**2 - 2 + 2*d**2 = 0.
1
Let u(s) be the third derivative of s**7/2520 - 7*s**6/720 + s**4/12 - 38*s**2. Let z(y) be the second derivative of u(y). Factor z(t).
t*(t - 7)
Let j be 12/15*(-1 - -6). Let b(r) be the second derivative of 0*r**2 - 1/6*r**3 - 1/30*r**6 + 1/12*r**4 + 0 + j*r + 1/20*r**5. What is s in b(s) = 0?
-1, 0, 1
Let v be (-18 + -45)/(-7)*(-2)/(-6). Factor 0*c + 0 - 2/5*c**v - 2/5*c**2.
-2*c**2*(c + 1)/5
Suppose 0*a + 0 - 25/3*a**2 - 1/3*a**5 + 3*a**4 - 5*a**3 = 0. Calculate a.
-1, 0, 5
Let p(z) be the second derivative of -3*z**5/55 - 15*z**4/22 - 2*z**3 + 45*z**2/11 - 99*z - 1. Find n, given that p(n) = 0.
-5, -3, 1/2
Let u(y) be the first derivative of 10/9*y**5 + 0*y + 4/9*y**2 + 10 + 16/9*y**3 + 5/2*y**4. Factor u(k).
2*k*(k + 1)*(5*k + 2)**2/9
Let l be (-1 + -6 + 2)*(-8)/220. Let y = 21/55 - l. Factor 0 - 1/5*d + y*d**2.
d*(d - 1)/5
Suppose 0 = 4*u - 8*u + 4. Let l be u + (-3 - (-2 - 2)). Suppose -18/5 - 2/5*o**l - 12/5*o = 0. Calculate o.
-3
Let r(z) be the second derivative of -21*z + 0 + 12*z**2 + 2/3*z**3 - 1/3*z**4. Factor r(g).
-4*(g - 3)*(g + 2)
Let r be (382/(-30) - -13)*15. Solve 2/5*h**r - 2/5*h**2 + 2/5*h**3 + 0 - 2/5*h = 0 for h.
-1, 0, 1
Solve 313*k + 102*k**3 - 111*k**2 - 337*k - 27*k**4 + 27*k**2 = 0.
-2/9, 0, 2
Let l(u) be the first derivative of u**4/8 + 17*u**3 + 867*u**2 + 19652*u - 112. Find i, given that l(i) = 0.
-34
Let n(y) be the second derivative of 2*y**2 - 6*y + 1/10*y**5 + 1/12*y**4 - 2/3*y**3 + 0. Let p(i) be the first derivative of n(i). Factor p(d).
2*(d + 1)*(3*d - 2)
Let l(s) be the first derivative of -s**3/6 - 11*s**2/4 - 9*s + 68. Suppose l(w) = 0. Calculate w.
-9, -2
Suppose -2/9*h**2 + 34/9*h - 32/9 = 0. What is h?
1, 16
Let n(k) be the first derivative of -2*k**6/15 + 2*k**5/5 + k**4/3 - 4*k**3/3 - 8*k - 11. Let h(w) be the first derivative of n(w). Solve h(u) = 0 for u.
-1, 0, 1, 2
Let a = 11 - -1. Let o = a + -9. Find m such that o*m**5 - 2*m**4 - 2*m**4 - 3*m**5 - 2*m**5 - 2*m**3 = 0.
-1, 0
Let g(s) = -s**3 + 159*s**2 - 6341*s + 97336. Let k(y) = 3*y**2 + y. Let v(q) = 5*g(q) - 35*k(q). Factor v(z).
-5*(z - 46)**3
Determine q, given that -16*q**3 + 7*q**4 + 8*q**4 + 13*q**3 + 5*q**5 - 2*q**5 - 15*q**2 = 0.
-5, -1, 0, 1
Let f(n) be the second derivative of -n**7/3780 + n**6/360 + 3*n**4/4 - 7*n. Let k(g) be the third derivative of f(g). Factor k(o).
-2*o*(o - 3)/3
Let z(u) = -25*u**2 + 215*u + 425. Let t(c) = -2*c**2 + 18*c + 35. Let r(q) = 35*t(q) - 3*z(q). Factor r(f).
5*(f - 5)*(f + 2)
Let g be ((-9)/6)/(3*2/(-100)). Suppose -g*q + 20*q + 20 = 0. What is l in 4/3*l**2 + 2/3 + 4/3*l**3 - 2*l**q - 2*l + 2/3*l**5 = 0?
-1, 1
Let s(b) be the first derivative of -b**7/105 - b**6/60 + b**5/30 + b**4/12 + b**2 - 2. Let r(o) be the second derivative of s(o). What is m in r(m) = 0?
-1, 0, 1
Determine k so that -k**4 - 4*k**4 - 71*k**3 - 136*k**2 - 14*k**3 - 179*k**2 + 405*k = 0.
-9, 0, 1
Let n(d) be the second derivative of d**4/60 + 2*d**3/15 + 2*d**2/5 - 5*d + 5. Solve n(q) = 0 for q.
-2
Let w(l) = -l**3 + 8*l**2 + 8*l + 11. Let r be w(9). Solve 0*z + 0*z**4 - z**3 - 4*z - 8*z**r + 3*z**4 = 0 for z.
-1, -2/3, 0, 2
Let -8*f - 221*f**4 + 219*f**4 - 5 - 3 + 10*f**3 - 2*f**5 + 10*f**2 = 0. What is f?
-2, -1, 1, 2
Factor -117/8*p**2 + 75/8 - 135/4*p - 3/2*p**3.
-3*(p + 5)**2*(4*p - 1)/8
Let f(v) be the second derivative of -v**7/6 - 5*v**6/4 - 2*v**5/3 - 19*v**2/2 - 26*v. Let g(l) be the first derivative of f(l). Find p, given that g(p) = 0.
-4, -2/7, 0
Let c(w) = -w**3 - 1. Let q = 105 + -97. Let f(k) = 92*k**4 - 200*k**3 + 108*k**2 - 8*k - 8. Let n(h) = q*c(h) - f(h). Factor n(g).
-4*g*(g - 1)**2*(23*g - 2)
Let r(a) be the first derivative of -10*a**5 - 200/3*a**3 - 30*a - 27 - 75/2*a**4 - 125/2*a**2 - 5/6*a**6. Solve r(w) = 0 for w.
-6, -1
Suppose -16 = -9*l + l. Find u such that -18*u**2 + 3*u**l - 3*u**3 + 3*u + 15*u**4 - 12*u**5 + 12*u**3 = 0.
-1, 0, 1/4, 1
Let d = 169 - 25. Find n such that -2 - d*n**2 + 14*n - 1 - 108*n**3 - 46*n - 7*n = 0.
-1, -1/6
Let c(f) = f**3 - f**2 + 5. Let z be c(0). Suppose 0 = -5*y + 10, n + 3*y = 5*n - 2. Solve 0*t**2 + 121*t**5 + 3*t**3 + t**4 - 122*t**z - t**2 - n*t = 0.
-1, 0, 1, 2
Suppose -14*h + 16*h = 6. Factor -2 + 2 - 135*y**2 + 24*y + h*y**3 + 108*y**2.
3*y*(y - 8)*(y - 1)
Let n(z) be the second derivative of -5/3*z**3 + 0 + 0*z**2 - 4*z - 5/12*z**4. Factor n(p).
-5*p*(p + 2)
Suppose 96 = -5*g + 4*a, -4*g = 3*a + 82 + 1. Let w be 8/6*2/(g/(-15)). What is o in -1/6*o**3 + 0 - 1/3*o**4 + 0*o**w + 0*o - 1/6*o**5 = 0?
-1, 0
Let c(d) be the second derivative of 3*d**7/35 + 16*d**6/75 - 31*d**5/50 - d**4 + 44*d**3/15 - 8*d**2/5 - 2*d + 9. Solve c(n) = 0.
-2, 2/9, 1
Suppose 9 = 5*c - h, -h = -10*c + 11*c - 3. Factor 2/17*v**3 + 6/17*v + 6/17*v**c + 2/17.
2*(v + 1)**3/17
Suppose 0 = -0*d - 48*d. Let o(n) be the first derivative of 4/5*n**5 + d*n**3 + 0*n**2 - 2*n**4 + 8 + 0*n. Suppose o(m) = 0. Calculate m.
0, 2
Suppose 5 = 2*z - 1. Suppose -2*i = -z*i + 10. Factor -i*j + 2*j + 8*j + j**4.
j**4
Suppose 4*j = -y - 5 + 13, -3*j = 3*y + 3. Determine i so that -105/8*i**4 + 15/2*i**2 - 33/8*i**j - 3/2*i + 0 = 0.
-1, 0, 2/7, 2/5
Let a = 44 - 74. Let x = -27 - a. Determine v, given that -15*v**2 - x*v**5 + 18*v**4 - 8*v**4 + 9*v**3 - 7*v**4 + 6*v = 0.
-2, 0, 1
Let q(v) = 1 + 25 - 3*v**2 - 27*v + 11 + 6*