erivative of b(j). Factor c(f).
f*(f - 2)*(5*f - 2)/4
Let h = 1221/75670 - 2/1081. Let o(c) be the second derivative of -h*c**5 + 1/42*c**4 - c + 0 + 0*c**2 + 0*c**3. Factor o(i).
-2*i**2*(i - 1)/7
Let u = -99 + 103. Let z(a) be the third derivative of 0*a - 1/90*a**6 + 1/315*a**7 + 0 + 0*a**3 + 2*a**2 + 0*a**u + 1/90*a**5. Factor z(i).
2*i**2*(i - 1)**2/3
Factor 1/4*k**2 - k + 1.
(k - 2)**2/4
Let l = 27 - 39. Let q be l/3*4/(-24). Determine z so that -q*z**2 + 2/3 + 1/3*z - 1/3*z**3 = 0.
-2, -1, 1
Let m(h) be the first derivative of h**4/4 - h**3 + 4*h + 7. Factor m(d).
(d - 2)**2*(d + 1)
Let j(r) = 4*r**2 + 6*r - 7. Let b be j(1). Let f(p) be the second derivative of 0 + 2*p - 1/27*p**b + 1/54*p**4 + 0*p**2. Find g, given that f(g) = 0.
0, 1
Let d = 66462/11725 + -366/67. Let z = 2/25 + d. Determine c, given that -z*c**2 + 0*c + 0 = 0.
0
Let l(b) = 36*b**4 + 23*b**3 - 27*b**2 - 9*b + 5. Let q(h) = 18*h**4 + 12*h**3 - 14*h**2 - 5*h + 3. Let p(g) = -3*l(g) + 5*q(g). Find j, given that p(j) = 0.
-1, -1/6, 0, 2/3
Let w(g) be the first derivative of g**6/6 - 2*g**5/5 - g**4/4 + 2*g**3/3 - 7. Factor w(h).
h**2*(h - 2)*(h - 1)*(h + 1)
Let g be 72/693 + 2/11. Factor -2/7*n - 4/7 + g*n**2.
2*(n - 2)*(n + 1)/7
Let d(j) be the second derivative of j**8/168 - 2*j**7/105 + j**6/60 + j**2/2 - 2*j. Let f(b) be the first derivative of d(b). Factor f(c).
2*c**3*(c - 1)**2
Factor 0 + 3/5*j**2 + 1/5*j**3 - 3/5*j**4 + 1/5*j**5 - 2/5*j.
j*(j - 2)*(j - 1)**2*(j + 1)/5
Let d(o) be the second derivative of -1/50*o**5 + 0 - 4*o + 0*o**3 + 0*o**2 - 1/30*o**4. Factor d(n).
-2*n**2*(n + 1)/5
Let r(d) be the first derivative of d**6/15 - d**5/5 - d**4/6 + 2*d**3/3 - 8*d + 7. Let z(v) be the first derivative of r(v). Suppose z(i) = 0. What is i?
-1, 0, 1, 2
Let c(g) be the third derivative of -g**4/8 + 4*g**3 - 11*g**2. Let i be c(7). Factor -3/5*x**i + 0*x**2 + 9/5*x - 6/5.
-3*(x - 1)**2*(x + 2)/5
Let q(r) = -8*r**3 + 25*r**2 + 83*r + 23. Let m(o) = 8*o**3 - 24*o**2 - 84*o - 22. Let v(c) = -6*m(c) - 4*q(c). Find i, given that v(i) = 0.
-2, -1/4, 5
Let l(z) be the first derivative of -4 - 2/39*z**3 - 18/13*z + 6/13*z**2. Factor l(i).
-2*(i - 3)**2/13
Let b(d) be the third derivative of 0 - 1/60*d**5 - 3*d**2 + 0*d**4 + 0*d**3 + 0*d. Find c, given that b(c) = 0.
0
Let v(l) = 9*l + 2. Let y be v(-4). Let g(s) = -23*s**2 - 11*s. Let c(d) = 4*d**2 + 2*d. Let n(w) = y*c(w) - 6*g(w). Factor n(o).
2*o*(o - 1)
Let o(t) be the first derivative of 4*t**3/21 + 16*t**2/7 + 64*t/7 + 2. Factor o(p).
4*(p + 4)**2/7
Suppose 8*z + 23 = 47. Factor 0 - 12/7*a**z + 2/7*a - 6/7*a**5 + 0*a**2 - 16/7*a**4.
-2*a*(a + 1)**3*(3*a - 1)/7
Suppose 0 = u - 5*k + 3 - 0, k + 30 = 2*u. Let s = -33/2 + u. Factor s*t**2 - 1/2*t - 1.
(t - 2)*(t + 1)/2
Let h(u) be the second derivative of 49*u**5/5 - 364*u**4/3 - 440*u**3/3 - 64*u**2 + 8*u. Factor h(p).
4*(p - 8)*(7*p + 2)**2
Suppose o - 115 = -3*o + 5*l, 0 = -o + l + 29. Let u = o + -30. Find a such that 0 - 3*a**4 - 3/2*a**3 - 3/2*a**5 + 0*a**2 + u*a = 0.
-1, 0
Let m be (-3)/((-7)/(168/99)). Let d(u) be the first derivative of -2 - 2/11*u**3 + 2/11*u**4 - 2/55*u**5 + m*u - 4/11*u**2. Let d(n) = 0. What is n?
-1, 1, 2
Let x(y) = 2*y**2 + 4*y - 3. Let a be x(-3). Let r(q) = q**2 - 2*q. Let j be r(a). Suppose -4/9*w**4 + 0*w**j + 2/9*w**5 + 0 - 2/9*w + 4/9*w**2 = 0. What is w?
-1, 0, 1
Let x be 31/5 + 12/(-60). Suppose -i = -2*f - 5, -f - 16 = -2*i - x. Determine l so that -4/5*l**4 + f - 2/5*l**5 + 2/5*l + 0*l**3 + 4/5*l**2 = 0.
-1, 0, 1
Suppose 0 = n - 1 - 1. Suppose 0*z**2 - z**n - 2*z + 0*z - z**2 = 0. What is z?
-1, 0
Let k(r) = -r - 4. Let i be k(-8). Let 3*u - 4*u + 2*u**2 - i*u + 3*u = 0. Calculate u.
0, 1
Factor 1136*n**3 - 1135*n**3 - 6 + 8*n + 2 - 5*n**2.
(n - 2)**2*(n - 1)
Let q(c) be the second derivative of c**7/42 + c**6/15 - c**4/6 - c**3/6 + c. Find v, given that q(v) = 0.
-1, 0, 1
Let u = 11/7 - 5/21. Solve 4/3 - u*s + 1/3*s**2 = 0 for s.
2
Let g = 34 - 32. Let u(v) be the first derivative of -1/5*v**5 + 3/2*v**g - 1 + 2*v - 3/4*v**4 - 1/3*v**3. What is q in u(q) = 0?
-2, -1, 1
Solve -11*g**4 + 4*g**3 + 2*g**4 + 7*g**4 = 0 for g.
0, 2
Let g be (-1)/10*(-28)/7. Solve -6/5*u**2 + 2*u - 4/5 - 2/5*u**3 + g*u**4 = 0.
-2, 1
Suppose 24 + 20/3*f**2 - 2/3*f**3 - 22*f = 0. What is f?
3, 4
Factor 0 + 0*o + 1/3*o**3 + 2/3*o**2.
o**2*(o + 2)/3
Factor -5*b**3 + 26*b**3 + 6 + 0*b**2 + 0*b**3 - 21*b - 6*b**2.
3*(b - 1)*(b + 1)*(7*b - 2)
Let g be 0/(1*1/(-1)). Let r be 4*6/(-15) + 2. Factor 4/5*m**3 + r*m**4 + g*m**2 - 2/5 - 4/5*m.
2*(m - 1)*(m + 1)**3/5
Let o = 126 + -1511/12. Let n(v) be the third derivative of 1/60*v**5 + o*v**4 - 4*v**2 + 0 + 1/6*v**3 + 0*v. Factor n(g).
(g + 1)**2
Suppose -19/7*r**2 - 12/7*r - 4/7*r**5 + 4/7 + 10/7*r**3 + 9/7*r**4 = 0. What is r?
-1, 1/4, 2
Factor -5/3*m**4 + 0*m - 5/3*m**3 + 10/3*m**2 + 0.
-5*m**2*(m - 1)*(m + 2)/3
Let s(x) be the third derivative of 7*x**5/150 + 19*x**4/60 - 2*x**3/5 - 14*x**2. Find i such that s(i) = 0.
-3, 2/7
Let g(z) be the first derivative of -z**6/6 + z**4/2 - z**2/2 - 12. Solve g(n) = 0 for n.
-1, 0, 1
Let y(f) be the second derivative of -f**5/4 - 5*f**4/12 + 5*f**3/6 + 5*f**2/2 + 17*f. What is p in y(p) = 0?
-1, 1
Let n be 4 + (-4)/(-6) + -4. Factor 2/9*m + 4/9 + 2/9*m**4 - 2/9*m**3 - n*m**2.
2*(m - 2)*(m - 1)*(m + 1)**2/9
Let c(q) be the first derivative of q**6/36 - 7*q**5/30 + q**4/2 + 8*q**3/9 - 16*q**2/3 + 8*q - 8. Factor c(l).
(l - 3)*(l - 2)**3*(l + 2)/6
Let h(x) be the first derivative of -1 + 0*x + 1/420*x**6 + 1/2*x**2 + 0*x**3 + 0*x**5 - 1/84*x**4. Let q(g) be the second derivative of h(g). Factor q(l).
2*l*(l - 1)*(l + 1)/7
Let o(z) = 3*z + 2 - 3 - 2. Let w be o(4). Factor -14*s - 3*s**5 + 9*s**3 + 8*s + 3*s**2 - 6*s - 6*s**4 + w*s**2.
-3*s*(s - 1)**2*(s + 2)**2
Suppose 0 = -3*h + 1 + 8. Solve 9*f**3 - f**2 - 6*f - 2*f**2 - h*f**3 + 3*f**4 = 0 for f.
-2, -1, 0, 1
Let o(b) = -3*b**3 + 2*b**2 + b. Let t be o(-1). Let 0 + 10/9*j**2 + 2*j**t + 32/9*j**3 - 4/9*j = 0. What is j?
-1, 0, 2/9
Let b(l) be the second derivative of 0 + 1/180*l**5 - 1/18*l**4 + 2/9*l**3 + 3*l + 1/2*l**2. Let u(f) be the first derivative of b(f). Let u(z) = 0. What is z?
2
Let b be 0/(10 + 2 + -10). Let -3/2*t**3 + 3/2*t + b*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Let n(o) be the second derivative of -o**7/51 - 3*o**6/85 - o**5/85 - 2*o. Factor n(u).
-2*u**3*(u + 1)*(7*u + 2)/17
Let w(p) be the first derivative of 1 - 9/5*p**5 + 4*p**3 + 0*p**2 + 0*p + 0*p**4 + 1/2*p**6. What is b in w(b) = 0?
-1, 0, 2
Determine g, given that 2/5*g - 2/15*g**3 + 4/15 + 0*g**2 = 0.
-1, 2
Let x(p) be the second derivative of -3/4*p**4 + 5/14*p**7 + p**3 + 0 + 3/10*p**6 + 0*p**2 + p - 21/20*p**5. Solve x(t) = 0.
-1, 0, 2/5, 1
Suppose -73 + 83 = 2*a. Factor 2/7*l**a + 0*l**3 + 0*l + 0*l**2 + 0 - 2/7*l**4.
2*l**4*(l - 1)/7
Let m(t) be the second derivative of t**5/10 + t**4/3 + t**3/3 - 52*t. Solve m(g) = 0 for g.
-1, 0
Factor 26/23*n**2 + 0 + 8/23*n + 2/23*n**5 + 14/23*n**4 + 30/23*n**3.
2*n*(n + 1)**3*(n + 4)/23
Let s = 157 - 151. Let k(u) be the third derivative of 0*u**5 - 1/420*u**s + 0*u**4 + 1/735*u**7 + 0 + 4*u**2 + 0*u + 0*u**3. Solve k(w) = 0.
0, 1
Let o be (-60)/(-45) + 8/4. Factor -4/9 + 22/9*h**3 + 2*h - 2/3*h**4 - o*h**2.
-2*(h - 1)**3*(3*h - 2)/9
Solve 38/3*h**3 + 50/3*h**2 + 8/3 + 32/3*h + 2/3*h**5 + 14/3*h**4 = 0 for h.
-2, -1
Let o(a) be the first derivative of -27*a**6 + 414*a**5/5 - 139*a**4/2 - 10*a**3 + 24*a**2 + 8*a + 6. Factor o(f).
-2*(f - 1)**3*(9*f + 2)**2
Let z(h) = -3*h**2 + 6*h + 3. Let c(f) = 6*f**2 - 12*f - 7. Let a(x) = -6*c(x) - 13*z(x). Factor a(g).
3*(g - 1)**2
Let i be 6/8 + (-48)/64. Let b(l) be the third derivative of 1/630*l**7 + 1/18*l**3 + i*l - 1/90*l**6 + 1/30*l**5 - 1/18*l**4 + 3*l**2 + 0. Factor b(s).
(s - 1)**4/3
Let w(a) = 2*a**2 - 7*a - 1. Let h be w(8). Let q = 356/5 - h. Factor 0*o + q*o**5 + 0*o**2 + 1/5*o**3 + 0 + 2/5*o**4.
o**3*(o + 1)**2/5
Let j = -3/338 - -89/507. Solve 0*t + 1/3*t**2 + 0 + j*t**3 = 0 for t.
-2, 0
Let v(i) be the third derivative of i**7/4200 - i**5/600 + i**3/6 + 3*i**2. Let m(n) be the first derivative of v(n). Factor m(c).
c*(c - 1)*(c + 1)/5
Suppose 0 = 3*g - 2*h - 5, -3*g - 5*h + 45 = g. Suppose -6*v**5 - 4*v**5 + 12*v**g - 4*v**4 + 12*v**5 = 0. Calculat