(j) be the first derivative of b(j). Factor z(l).
-(l - 4)*(7*l + 2)
Let s(y) be the third derivative of -y**7/140 - 147*y**6/20 - 64827*y**5/20 - 3176523*y**4/4 - 466948881*y**3/4 - 718*y**2. Factor s(l).
-3*(l + 147)**4/2
Let v = 122 - 95. Let z = -27 + v. Solve z*j - 1/3*j**2 + 4/3*j**3 + 0 = 0 for j.
0, 1/4
Let s(f) be the second derivative of -f**7/42 - f**6/30 + 3*f**5/5 - f**4/3 - 8*f**3/3 + 19*f. Solve s(i) = 0.
-4, -1, 0, 2
Suppose 25/3*j - 28/3 + 4/3*j**2 - 1/3*j**3 = 0. Calculate j.
-4, 1, 7
Let c be 21/(-105)*1/(-1). Let q be 30/(-2)*45/(-375). Factor q + c*m**2 - 6/5*m.
(m - 3)**2/5
Let k(s) = 3*s**4 + 6*s**3 + 8*s**2 - 6*s - 5. Let x(r) = 7*r**4 + 12*r**3 + 18*r**2 - 12*r - 10. Let f(c) = 5*k(c) - 2*x(c). Factor f(n).
(n - 1)*(n + 1)**2*(n + 5)
Let u = 137107/608 + -3/608. Let r = 228 - u. Solve -75/2*q - 245/2*q**3 - 315/2*q**2 - r = 0 for q.
-1, -1/7
Let q = 1047 - 1045. Find i such that 2/7*i**q - 4/7 + 2/7*i = 0.
-2, 1
Let q(h) = -3*h**5 + 25*h**4 + 3*h**3 - 27*h**2 + 2*h. Let s(v) = 3*v**5 - 24*v**4 - 3*v**3 + 27*v**2 - 3*v. Let g(t) = -3*q(t) - 2*s(t). Solve g(b) = 0.
-1, 0, 1, 9
Factor 1/2*t**4 + 9*t**2 + 4 - 7/2*t**3 - 10*t.
(t - 2)**3*(t - 1)/2
Factor -374*k**3 - 8*k**2 + 122*k**3 + 2*k**4 + 119*k**3 + 127*k**3.
2*k**2*(k - 4)*(k + 1)
Let u = 16901/3 - 5633. Let -u*h**2 - 2/3 - 4/3*h = 0. Calculate h.
-1
Factor -78*d + 15/2*d**2 + 30.
3*(d - 10)*(5*d - 2)/2
Factor -16/3 + 0*d + 4/3*d**2.
4*(d - 2)*(d + 2)/3
Let q be 13/(-4) + 6/(-72)*9. Let m be 0/((-1)/(2 - (-10)/q)). Solve z**2 + 1/2*z**3 + 1/2*z + m = 0.
-1, 0
Suppose 24*x**2 + 76/3*x + 20/3*x**3 + 8 = 0. What is x?
-2, -1, -3/5
Let w(u) be the second derivative of 2*u**6/15 + u**5 + 7*u**4/3 + 2*u**3 - 6*u - 1. Factor w(n).
4*n*(n + 1)**2*(n + 3)
Let w(d) be the second derivative of -d**7/11340 - d**6/1296 + d**5/360 + 25*d**4/12 - 6*d. Let f(n) be the third derivative of w(n). Let f(a) = 0. What is a?
-3, 1/2
Determine p so that 10*p**2 + 10*p**2 - 212*p + 218*p = 0.
-3/10, 0
Factor -15*a**4 - 45*a**2 + 0*a + 5/3*a**5 + 0 + 45*a**3.
5*a**2*(a - 3)**3/3
Let q(i) be the second derivative of -i**6/60 - i**5/40 + i**4/4 + i**3/3 - 2*i**2 + 14*i - 9. Factor q(x).
-(x - 2)*(x - 1)*(x + 2)**2/2
Suppose 3*n - 1036 = -n. Suppose -37 = 2*z - n. Find y such that -2*y**5 + 0*y**3 + 6*y + 6*y**4 - 4*y**3 + 107*y**2 - 2 - z*y**2 = 0.
-1, 1
Let s = 258 - 5416/21. Let v = 116/105 + s. Factor v + 3/5*a - 3/5*a**2.
-3*(a - 2)*(a + 1)/5
Let d be (12/10)/(4/10). Factor -10*j**2 - 5*j + j**3 - 13*j**3 + 7*j**d.
-5*j*(j + 1)**2
Suppose -m - 9*x + 6*x = 3, -m - 4*x = 4. Let i(z) be the third derivative of 0*z**4 + 1/40*z**5 - 1/4*z**3 + m*z - 2*z**2 + 0. Factor i(t).
3*(t - 1)*(t + 1)/2
Let k(j) be the third derivative of j**10/50400 - j**9/10080 + j**5/4 - 4*j**2. Let g(x) be the third derivative of k(x). What is r in g(r) = 0?
0, 2
Solve 25*o**4 + 12*o**2 + 12*o**2 - 33*o**4 + 36*o**3 - 20*o = 0 for o.
-1, 0, 1/2, 5
Let d = 396/25 - 3143/200. Solve -3/8*y - d*y**2 - 1/4 = 0.
-2, -1
Let j(n) be the third derivative of 2*n**8/273 + 24*n**7/455 + 89*n**6/780 + n**5/78 - 2*n**4/13 + 4*n**3/39 - 23*n**2. Solve j(q) = 0.
-2, -1, 1/4
Suppose -105*z + 89*z + 48 = 0. Let q(w) be the first derivative of 18/5*w**5 - 13*w**3 + 12*w + 6*w**2 - 21/4*w**4 - z. Suppose q(m) = 0. What is m?
-1, -1/2, 2/3, 2
Find z, given that -8/3 - 40/3*z - 34/3*z**2 - 8/3*z**3 = 0.
-2, -1/4
Solve -40*g + 140 - 99*g**2 + 165*g**2 - 82*g**2 - 12*g = 0 for g.
-5, 7/4
Let 16/11*b - 72/11*b**2 - 4/11*b**3 + 0 + 18/11*b**4 = 0. What is b?
-2, 0, 2/9, 2
Factor 8/7*a + 2/7*a**2 + 0.
2*a*(a + 4)/7
Let q(m) be the first derivative of 20*m**5 + 9630*m**4 + 3694036*m**3/3 - 1486872*m**2 + 595984*m + 289. Determine r, given that q(r) = 0.
-193, 2/5
Let h(p) be the third derivative of 1/40*p**6 + 0*p - 16*p**2 + 0 + 0*p**4 + 0*p**3 + 1/20*p**5. Factor h(t).
3*t**2*(t + 1)
Let v(k) be the third derivative of -k**7/210 + 11*k**6/120 - k**5/3 - 4*k**4/3 - 20*k**2 - 2. Solve v(z) = 0 for z.
-1, 0, 4, 8
Let d(k) be the second derivative of k**6/1080 + k**5/360 - k**4/12 - 25*k**3/6 + 9*k. Let f(q) be the second derivative of d(q). Suppose f(i) = 0. Calculate i.
-3, 2
Let t(c) be the third derivative of 0*c**4 + 0*c + 20*c**2 + 1/40*c**6 - 1/10*c**5 + 0 + 0*c**3. Solve t(o) = 0.
0, 2
Suppose 11 = p - 2*p. Let t = 6 + p. Let m(c) = -7*c**3 + 2*c**2 - 5*c - 5. Let l(z) = 4*z**3 - z**2 + 3*z + 3. Let b(w) = t*l(w) - 3*m(w). Factor b(k).
k**2*(k - 1)
Suppose -k = -2*s, -55*s = 4*k - 56*s - 7. Factor -4/3 - 22/3*g - 8*g**k.
-2*(3*g + 2)*(4*g + 1)/3
Let n(u) = -u**3 - 5*u**2 + 7*u + 8. Let q(z) = z - 10. Let j be q(4). Let t be n(j). Factor -2/17*o**3 + 0 - 4/17*o**t + 0*o.
-2*o**2*(o + 2)/17
Let q = -74 + 76. Let n = 4 + -7/2. Factor 3/2*w**3 + 1/2*w**4 - 5/2*w**q - n*w**5 + 0 + w.
-w*(w - 1)**3*(w + 2)/2
Let p(c) be the first derivative of c**8/105 + c**7/70 - c**6/10 + c**5/15 + 2*c**3 + 12. Let n(l) be the third derivative of p(l). Factor n(o).
4*o*(o - 1)*(o + 2)*(4*o - 1)
Let k(t) be the first derivative of -t**4/10 - 34*t**3/5 - 99*t**2/5 - 98*t/5 + 176. Suppose k(x) = 0. Calculate x.
-49, -1
Suppose -3*p = p - 12. Let r = p + 2. Let 2*i**2 + 2*i**2 + 0*i**4 + 2*i**5 + 0*i**r - 2*i - 4*i**4 = 0. What is i?
-1, 0, 1
Let r(h) be the second derivative of 3*h**7/35 - 7*h**6/75 - 296*h. Factor r(m).
2*m**4*(9*m - 7)/5
Let s(a) = a**5 + a**4 + a**3 - a**2 - a. Let n(h) = 3*h**5 + 6*h**3 + 4*h**2 - 5*h - 4. Let t(x) = -3*n(x) + 12*s(x). Determine r so that t(r) = 0.
-4, -1, 1
Suppose -2*p + 139 = -11. Factor 3*k**4 + 68*k**5 + p*k**5 - 6*k**3 - 140*k**5.
3*k**3*(k - 1)*(k + 2)
Let 6/5*a + 0 + 8/5*a**3 - 13/5*a**2 - 1/5*a**4 = 0. Calculate a.
0, 1, 6
Let m(l) = -9*l**2 - 28*l - 16. Let v be m(-2). Let x(o) be the second derivative of 0*o**2 + 11*o + 1/50*o**5 + 0 + 3/5*o**3 - 1/5*o**v. Solve x(j) = 0.
0, 3
Let h be ((-1)/(-3))/(4/84). Suppose -r - h = -10. Solve -4 - 7*p**3 + 6*p**r + p**2 + 3 + p = 0 for p.
-1, 1
Let x = 5084 + -5079. Factor 0 + 2/3*y**2 - 2/3*y**4 + 0*y + 2/3*y**3 - 2/3*y**x.
-2*y**2*(y - 1)*(y + 1)**2/3
Let r(b) be the first derivative of -b**3/7 - 36*b**2/7 - 27*b + 132. Factor r(l).
-3*(l + 3)*(l + 21)/7
Let q be ((-160)/(-25))/8*150/4. Determine f, given that 109*f**4 - 8*f**2 + 3*f**5 + 74 + 7 - 81*f - 46*f**2 - 88*f**4 + q*f**3 = 0.
-3, 1
Let h(t) be the first derivative of -2*t**3/3 + 5*t**2 - 12*t - 116. Factor h(w).
-2*(w - 3)*(w - 2)
Let a(f) = f**2 - 8*f - 10. Let r be a(8). Let d(k) = k + 13. Let t be d(r). Solve 7*l**3 + 5*l**3 + t*l**2 - 6*l - 3*l**3 = 0.
-1, 0, 2/3
Let k(h) be the third derivative of h**6/180 + 4*h**5/5 + 209*h**4/36 + 46*h**3/3 - 4*h**2 + 4*h. Factor k(r).
2*(r + 1)*(r + 2)*(r + 69)/3
Let t(x) = 4*x**2 + 6*x - 3. Let r be t(-3). Factor 4 - r*j**2 + 10*j - 4 + 5*j**3.
5*j*(j - 2)*(j - 1)
Let u(b) be the first derivative of -1 - 18*b + 6*b**2 - 2/3*b**3. Suppose u(i) = 0. What is i?
3
Let x(q) = -q**3 - 12*q + 10*q + 1 + q - q**2. Let y(w) = -2*w**4 - 7*w**3 + 3*w**2 + 13*w + 11. Let d(u) = 3*x(u) - y(u). Let d(t) = 0. What is t?
-2, -1, 2
Let s(p) = -p**2 - 3*p + 33. Let d be s(-7). Suppose d*k + 2*g = 10, -k + 4*g = -0*g - 24. Determine o so that -16/5*o**k + 0*o - 4/5*o**2 + 0 - 4*o**3 = 0.
-1, -1/4, 0
Suppose 3/5 + 6/5*g**2 + 0*g**3 - 1/5*g**4 + 8/5*g = 0. What is g?
-1, 3
Let l = 54 + -54. Let q(w) be the second derivative of 3*w + l + 0*w**2 + 0*w**3 - 1/72*w**4. Solve q(f) = 0.
0
Suppose -o = 3*b - 145, 2*o + 163 = 4*b - 27. Let h = 53 - b. Suppose -16/9*z + 2/9*z**h - 2/9*z**2 + 10/9*z**4 - 8/9 + 14/9*z**3 = 0. Calculate z.
-2, -1, 1
Let g be (-5725)/29720*-170 - 9/6. Let b = g - -2/743. Factor -5/4*y**2 - b + 25/2*y.
-5*(y - 5)**2/4
Let f(y) be the second derivative of 2*y**6/5 + 3*y**5/20 - y**4 - y**3/2 + 4*y - 8. What is k in f(k) = 0?
-1, -1/4, 0, 1
Let b = -1480 + 4441/3. Suppose b + g**2 + g + 1/3*g**3 = 0. Calculate g.
-1
Let x be 6 - (-1 + -4) - 11. Let u(m) be the first derivative of -5 + x*m + 5/4*m**4 + 5/3*m**3 - 5*m**2. What is i in u(i) = 0?
-2, 0, 1
Let 21/4*f**2 + 1/4*f**3 + 147/4*f + 343/4 = 0. What is f?
-7
Suppose -10 = 62*p - 64*p. Suppose 7*d = p*d - d. Factor 0*c + 0*c**3 + d - 2/3*c**4 + 2/3*c**2.
-2*c**2*(c - 1)*(c + 1)/3
Let u(q) be the third derivative of 