 the third derivative of 41*o**7/315 + o**6/360 - 4*o**2 + 6. Solve m(c) = 0.
-1/82, 0
Factor 13 - 29 - 5*j**2 - 365*j + 5 + 11.
-5*j*(j + 73)
Let d(b) be the first derivative of -7*b**5/25 - 18*b**4/5 - 4*b**3/3 - 144. Suppose d(g) = 0. Calculate g.
-10, -2/7, 0
Let x(u) be the second derivative of 20 - 20*u**2 - 5/3*u**3 + 5/12*u**4 - 2*u. Suppose x(r) = 0. What is r?
-2, 4
Let d(b) be the second derivative of -b**4/4 + 3*b**3/2 + 6*b**2 + 150*b. Solve d(r) = 0 for r.
-1, 4
Let m(j) be the third derivative of j**9/2880 - j**8/3360 - j**7/240 + j**6/120 + j**5/20 + 8*j**2. Let d(s) be the third derivative of m(s). Factor d(n).
3*(n - 1)*(n + 1)*(7*n - 2)
Let w = -4 - -20. Suppose 0 = -0*l - 5*l + 945. Solve -177*o**4 - 8*o**3 - w*o**3 + 22*o**2 - 10*o**2 + l*o**5 = 0 for o.
-2/7, 0, 2/9, 1
Let -8*j**3 - 5 + 13 + 129*j**4 - 131*j**4 - 6*j**2 + 8*j = 0. What is j?
-2, -1, 1
Let v(m) = m**3 - 3*m**2 - 3*m - 3. Let g be v(3). Let y be g/((-57)/12 - 4/8). Suppose 8/7 + y*x + 10/7*x**2 + 2/7*x**3 = 0. What is x?
-2, -1
Let b(z) = z**2 - 3*z. Let h be b(3). Let s be 3 + -5 + (-60)/33 + 4. Let -2/11*u**3 + 0*u + h + s*u**4 + 0*u**2 = 0. Calculate u.
0, 1
Let d(s) be the third derivative of -s**4/24 + 11*s**3/6 - 4*s**2. Let w be d(9). Solve -2*j - 12*j - 5*j**3 + 5*j**3 - 4 - 10*j**3 - w*j**4 - 18*j**2 = 0.
-2, -1
Factor -2*i + 3*i**4 - 13/2*i**3 + 0 + 6*i**2 - 1/2*i**5.
-i*(i - 2)**2*(i - 1)**2/2
Let i be -83 + 78 - (-1 - 4). Let y(f) be the first derivative of 4 + f + i*f**2 - 1/3*f**3. Factor y(a).
-(a - 1)*(a + 1)
Let g(f) = 2*f**2 + 36*f - 66. Let m(z) = 8*z**2 + 107*z - 197. Let q(b) = -7*g(b) + 2*m(b). Factor q(d).
2*(d - 17)*(d - 2)
Let d(c) be the first derivative of c**4/8 + 9*c**3 + 243*c**2 + 2916*c - 49. Solve d(p) = 0.
-18
Let t(n) be the first derivative of -n**4/8 + 47*n**3/6 - 23*n**2/2 + 590. Factor t(f).
-f*(f - 46)*(f - 1)/2
Let k(g) be the first derivative of -g**5/40 + g**4/6 - g**3/4 + 6*g - 14. Let m(u) be the first derivative of k(u). Factor m(f).
-f*(f - 3)*(f - 1)/2
Let r be ((-164)/12 + -3)*420/25. Let q = r + 848/3. Factor 0 + 2/3*j + 8/3*j**3 + q*j**2.
2*j*(2*j + 1)**2/3
Let k = -395/4 - -1201/12. What is d in -k*d**2 - 16/3 + 16/3*d = 0?
2
Let z(g) be the second derivative of 1/6*g**5 + 1/45*g**6 - 1/18*g**4 + 0*g**2 - 2/9*g**3 - 43*g + 0 - 1/21*g**7. Let z(s) = 0. Calculate s.
-1, -2/3, 0, 1
Let i(l) be the third derivative of 5/12*l**4 + 0*l + 0 - 39*l**2 + 25/6*l**3 - 1/210*l**7 - 1/12*l**6 - 2/5*l**5. Factor i(n).
-(n - 1)*(n + 1)*(n + 5)**2
Let q(z) be the first derivative of -z**5/2 - z**4 + 2*z**3/3 + 58. Factor q(p).
-p**2*(p + 2)*(5*p - 2)/2
Let w(p) = -13*p**2 - 64*p - 247. Let o(h) = -3*h**2 - 16*h - 62. Let q = -105 - -103. Let c(f) = q*w(f) + 9*o(f). Factor c(k).
-(k + 8)**2
Let a(h) = 189*h**3 - 405*h**2 + 99*h. Let v(f) = -27*f**3 + 58*f**2 - 14*f. Let p(o) = 2*a(o) + 15*v(o). Let p(r) = 0. Calculate r.
0, 2/9, 2
Suppose 0 = -z + 2 - 1, z = -5*c + 11. Determine o, given that -69*o - 18*o**c - 51*o + 20 + 34*o = 0.
-5, 2/9
Suppose -11*j - 86 - 13 = 0. Let x be 0 + 174/18 + 6/j. Determine y, given that 1/3*y**3 + 9 + x*y + 3*y**2 = 0.
-3
Let m(u) = 15*u**2 - 55*u - 145. Let c be 21/9 - 2/(-3). Let x(j) = 2*j**2 - 7*j - 18. Let f(l) = c*m(l) - 25*x(l). Factor f(o).
-5*(o - 3)*(o + 1)
Let q(b) = 21*b + 150. Let r be q(-7). Let y(m) be the first derivative of 0*m**2 - 5/2*m**4 + 4/3*m**r + 8/5*m**5 - 8 + 0*m - 1/3*m**6. Factor y(w).
-2*w**2*(w - 2)*(w - 1)**2
Let f be -1 - -4 - (-4 + 4). Solve 0*y - f*y**3 + 0*y = 0.
0
Let o = -2/35813 - -71668/752073. Find i such that 8/21*i - 8/21*i**3 - 2/7 + o*i**4 + 4/21*i**2 = 0.
-1, 1, 3
Let s be (3/(-3))/(-32) + 0. Let w(q) be the second derivative of -1/16*q**2 - s*q**4 - 1/16*q**3 + 6*q + 0 - 1/160*q**5. Suppose w(n) = 0. Calculate n.
-1
Let c(i) be the second derivative of i**6/40 + 3*i**5/16 + i**4/2 + i**3/2 + 6*i + 3. Factor c(r).
3*r*(r + 1)*(r + 2)**2/4
Let v(c) be the third derivative of c**8/84 + 16*c**7/105 + 4*c**6/5 + 34*c**5/15 + 23*c**4/6 + 4*c**3 + 175*c**2. Determine q so that v(q) = 0.
-3, -2, -1
Let u(a) be the first derivative of -a**3/9 - 83*a**2/6 + 170*a/3 + 410. Factor u(r).
-(r - 2)*(r + 85)/3
Let u(g) = -g**5 + g**4 + g**3 - g. Let c(m) = 4*m**5 - 6*m**4 - 3*m**3 + 5*m. Let v(p) = -c(p) - 5*u(p). What is o in v(o) = 0?
-2, 0, 1
Let s be (8 - 1)*8*(-7)/(-1176). Let v(b) be the third derivative of 0 - s*b**4 + 1/15*b**5 + 0*b - 2/105*b**7 + 1/15*b**6 + b**2 + 0*b**3. Factor v(m).
-4*m*(m - 2)*(m - 1)*(m + 1)
Suppose 2*x + 39 = 53. Let q be (-1)/(-2)*12/2. Let -4*k + 6*k**q - 11*k**3 + k**2 + k**4 + x*k**2 = 0. Calculate k.
0, 1, 2
Let l(m) = -3*m**2 + 18*m + 2. Let a be l(6). Suppose 12*k**3 + 15*k**2 - 3*k**a + k**4 + 4*k + 3*k**4 = 0. What is k?
-1, 0
Let w(m) be the second derivative of 3/2*m**3 + 44*m - 1/24*m**4 - 81/4*m**2 + 0. Factor w(r).
-(r - 9)**2/2
Let i(t) be the first derivative of t**3/7 - 60*t**2/7 + 117*t/7 - 108. Factor i(p).
3*(p - 39)*(p - 1)/7
Suppose 301*x - 230 = 255*x. What is b in -6*b**x + 0*b - 2 + 41/2*b**2 - 39*b**3 + 53/2*b**4 = 0?
-1/4, 2/3, 1, 2
Let u(w) be the second derivative of -w**6/210 + 2*w**5/35 - 5*w**4/28 + 65*w. Let u(r) = 0. What is r?
0, 3, 5
Let t(s) be the third derivative of s**5/100 + 3*s**4/8 - 17*s**3/5 + 346*s**2. Factor t(r).
3*(r - 2)*(r + 17)/5
Let t(v) = 122*v**2 - 4*v + 4*v**3 - 31*v - 9*v - 6 - 94*v**2. Let k(y) = 12*y**3 + 84*y**2 - 130*y - 17. Let c(s) = -6*k(s) + 17*t(s). Factor c(j).
-4*j*(j - 1)*(j + 8)
Let f = 750 - 748. Suppose 0 = -4*w + 10 + 6. Find v such that -9/5 + 6/5*v - 3/5*v**w - 6/5*v**3 + 12/5*v**f = 0.
-3, -1, 1
Factor 16*z**4 - 16*z**2 - 1693*z**3 - 12*z**5 + 13*z**5 - 64*z + 1756*z**3.
z*(z - 1)*(z + 1)*(z + 8)**2
Factor -29*o**4 - 12*o**2 + 16*o**4 + 3*o**5 + 7*o**4 - 21*o**3.
3*o**2*(o - 4)*(o + 1)**2
Let l be (2 - (-6)/(-9))*(-1)/(-2). Let z(x) be the first derivative of l*x**3 + 0*x**2 - 1 - 2*x. Let z(r) = 0. What is r?
-1, 1
Suppose -2*i + 24 = -2*a, -i + 40 = 2*i - 4*a. Suppose -4*l + 4 - i = 0. Let f(u) = -1. Let p(m) = -m**2 + 4. Let k(y) = l*p(y) - 4*f(y). Factor k(c).
c**2
Let q be (3916/732 - 3) + -3. Let b = 1/61 - q. Suppose -2/3*g**3 + 0 + 8/3*g**2 + b*g - 8/3*g**4 = 0. Calculate g.
-1, -1/4, 0, 1
Let y(x) be the third derivative of -x**6/30 + x**5/8 - x**4/8 + 7*x**3/3 - 13*x**2. Let z(f) be the first derivative of y(f). Factor z(v).
-3*(v - 1)*(4*v - 1)
Let a(z) be the first derivative of 5*z**4/4 - 35*z**2/2 - 30*z - 89. Solve a(q) = 0.
-2, -1, 3
Let p = -107/5 + 326/15. Let u be (-2)/6 - 4/(-12). Factor -p*v + 1/3*v**3 + u + 0*v**2.
v*(v - 1)*(v + 1)/3
Factor 2/7*n**3 + 34/7*n**2 + 110/7 + 142/7*n.
2*(n + 1)*(n + 5)*(n + 11)/7
Let d(w) = -w**2. Let i(o) = -9*o**2 - 8*o - 5. Let b(p) = 3*p**2 + 3*p + 2. Let g(u) = 11*b(u) + 4*i(u). Let v(y) = 2*d(y) - g(y). Factor v(q).
(q - 2)*(q + 1)
Let p(k) = 2*k**5 + 24*k**4 + 37*k**3 + 19*k**2 + 5*k. Let l(n) = n**5 + 13*n**4 + 19*n**3 + 9*n**2 + 3*n. Let z(h) = 5*l(h) - 3*p(h). What is i in z(i) = 0?
-3, -2, 0
Suppose 9/4*u**4 + 3/4*u**3 + 0 + 0*u - 9/4*u**2 - 3/4*u**5 = 0. What is u?
-1, 0, 1, 3
Let b = -88 + 91. Suppose -4*w - 2*w = -b*w. Factor -8/7*d - 4/7*d**2 + w.
-4*d*(d + 2)/7
Suppose -8 = 4*g, 0 = -4*l - 0*l - g + 94. Suppose f - 26 = -l. Suppose -2/17*o**3 - 10/17*o - 4/17 - 8/17*o**f = 0. What is o?
-2, -1
Let v(s) = -s**2 + 11*s + 2. Let g be v(11). Factor 3*r - 3*r**5 + 0*r**4 - 4*r**4 - 4*r**4 + g*r**4 + 6*r**2.
-3*r*(r - 1)*(r + 1)**3
Let c(t) be the third derivative of t**8/112 + t**7/7 + 4*t**6/5 + 19*t**5/10 + 15*t**4/8 + 101*t**2. Suppose c(m) = 0. What is m?
-5, -3, -1, 0
Let g be 108/195 - 5/((-65)/(-2)) - 0. Determine a so that -4/5*a**3 - g*a**2 + 2/5*a + 0 = 0.
-1, 0, 1/2
Let l(a) = a**2 - a + 8. Let w be l(0). Determine u so that 2*u**5 + w*u**5 - 5*u**2 - 12*u**4 + 27*u**4 = 0.
-1, 0, 1/2
Let n(i) = -47*i - 6999. Let v be n(-149). Solve 84*r**3 + 243*r + 837/2*r**2 + 0 + 9/2*r**v = 0 for r.
-9, -2/3, 0
Let l(s) be the first derivative of s**7/525 - s**6/200 - s**5/300 + s**4/40 - s**3/30 + 39*s**2/2 - 8. Let z(a) be the second derivative of l(a). Factor z(f).
(f - 1)**2*(f + 1)*(2*f - 1)/5
Let w be (5 + 11/(-2))*(-35)/35. Determine r, given that -2*r - 5/2 + w*r**2 = 0.
-1, 5
Det