 13. Suppose l*r - 1 = b - 9, -2*b + 2*r + 8 = 0. Let -9/5 - 3/5*g**b - 12/5*g = 0. Calculate g.
-3, -1
Determine z, given that 8*z**2 - 3*z**2 - 280 + z**4 - 3*z**2 - 3*z**3 + 280 = 0.
0, 1, 2
Let j(k) be the first derivative of -35*k**4/4 - 20*k**3/3 + 70*k**2 + 80*k + 298. Factor j(f).
-5*(f - 2)*(f + 2)*(7*f + 4)
Let d = -17 + 27. Suppose 13*z - d*z = 36. What is j in 4*j - 42*j**2 - 4*j**3 - z + 24*j**2 + 30*j**2 = 0?
-1, 1, 3
Let k(x) = x**2 - 3*x - 14. Let u be k(-3). Let -2*t**2 - u*t**4 - 5*t**5 + 2*t**2 - 5*t**3 + 14*t**4 = 0. Calculate t.
0, 1
Let x be 1*-2 - ((-164)/20 + 3). Factor 4/5*u**2 - x + 0*u.
4*(u - 2)*(u + 2)/5
Let 540 + 6/5*d**3 - 168/5*d**2 + 198*d = 0. Calculate d.
-2, 15
Let m(v) be the third derivative of 0*v**4 + 0 + 1/315*v**7 - 1/18*v**5 + 4/9*v**3 - 10*v**2 + 0*v + 0*v**6. Determine l, given that m(l) = 0.
-2, -1, 1, 2
Let i(t) = 2*t + 25. Let m be i(-9). Let o(c) be the second derivative of 0 + 1/48*c**4 + 0*c**2 + m*c - 1/24*c**3. What is s in o(s) = 0?
0, 1
Suppose 58 = 4367*l - 4338*l. Factor 2 - l*b + 1/2*b**2.
(b - 2)**2/2
Let h = 5 - 3. Suppose h = -b + 4. Factor 4 - 2*a**b + 2*a + 4*a - a - 3*a.
-2*(a - 2)*(a + 1)
Let j(n) be the first derivative of n**6/33 - 2*n**5/55 - n**4/11 + 47. Suppose j(i) = 0. What is i?
-1, 0, 2
Let z = -686 - -2749/4. Factor 0 - z*l**2 + 15/4*l.
-5*l*(l - 3)/4
Let o = 15547/9900 - 69/44. Let s(q) be the third derivative of 0*q + 0 + o*q**5 - 1/90*q**4 + 1/45*q**3 + 7*q**2. Let s(r) = 0. Calculate r.
1
Let v(s) = -11*s + 4 + 3*s + 19*s. Let a be v(0). What is l in 1/3*l**a - 1/3*l**2 - 1/3*l**3 + 1/3*l**5 + 0*l + 0 = 0?
-1, 0, 1
Suppose 302 = -5*w + 92. Let b = -40 - w. Find n, given that 2/9*n**b + 2/9*n + 0 - 2/9*n**3 - 2/9*n**4 = 0.
-1, 0, 1
Determine d so that -4/3*d**5 + 4/3*d**2 + 0 + 16/3*d**3 - 1/3*d**4 + 0*d = 0.
-2, -1/4, 0, 2
Let w = -72 + 78. Factor 3*c - 17*c**5 - w*c**2 + 26*c**5 - 12*c**5 + 6*c**4.
-3*c*(c - 1)**3*(c + 1)
Suppose 5*o + 785 = 4*m, 4*o + 4*m - 81 = -673. Let x = -457/3 - o. Factor -s + 0*s**2 + 1/3*s**3 + x.
(s - 1)**2*(s + 2)/3
Factor 2*x - 15*x - 4*x**2 + 45*x + 36.
-4*(x - 9)*(x + 1)
Let c be (-1032)/(-20) + 3 + -2. Let h = c + -52. Suppose 1/5*b**4 - 2/5*b - h*b**2 + 0 + 0*b**3 = 0. Calculate b.
-1, 0, 2
Suppose 88*c - 21*c = -9*c + 228. Solve -13/4*q + 3/2 - 1/4*q**c + 2*q**2 = 0.
1, 6
Let q(m) be the third derivative of 0 + 1/30*m**5 - 7*m - 1/4*m**4 - 2*m**2 + 0*m**3. Factor q(s).
2*s*(s - 3)
Let z(f) be the first derivative of 4/3*f**4 - 8/9*f**3 + 12 + 0*f + 1/6*f**2. Factor z(w).
w*(4*w - 1)**2/3
Let j(t) be the third derivative of t**5/12 - 275*t**4/4 + 45375*t**3/2 + 619*t**2. Factor j(v).
5*(v - 165)**2
Let j(n) = -n**3 + 2*n**2 - n + 1. Let x(s) = -s**3 + 30*s**2 + 47*s + 40. Let a(r) = 20*j(r) - 5*x(r). Factor a(i).
-5*(i + 3)**2*(3*i + 4)
Let u(y) be the third derivative of 2*y**3 - 7/6*y**4 - 2/21*y**7 + 1/84*y**8 + 2/15*y**5 + 3*y**2 + 0 + 0*y + 1/5*y**6. Determine k so that u(k) = 0.
-1, 1, 3
Suppose -5*g - 4*w = -39, 5*g + w - 59 = 2*w. Let k be ((198/(-12))/g)/(2/(-4)). Factor -10*y**2 + 0 - 77/4*y**k - y + 121/4*y**4.
y*(y - 1)*(11*y + 2)**2/4
Suppose 0 = 3*o + o - 2*o. Let v(c) be the second derivative of 0*c**3 + 1/48*c**4 + 2*c + 0*c**2 + o. Determine d so that v(d) = 0.
0
Let g be 7 + (4*(-54)/24 - -2). Determine d so that 2/5*d + 8/5*d**2 + 12/5*d**3 + 8/5*d**4 + g + 2/5*d**5 = 0.
-1, 0
Let a be (-3)/(-12) - 105/(-28). Let t(o) be the first derivative of 0*o + 0*o**3 + 0*o**2 - 3/28*o**a + 1/14*o**6 + 0*o**5 + 2. Factor t(w).
3*w**3*(w - 1)*(w + 1)/7
Let p(b) be the second derivative of b**7/10080 - b**5/480 + 7*b**4/6 - 21*b. Let i(v) be the third derivative of p(v). Factor i(m).
(m - 1)*(m + 1)/4
Let l be -3 + 3 + 3 + 0 + 0. Factor -5*z**2 + 36*z**3 - 8 - 7*z**2 - 10 + 33*z - 39*z**l.
-3*(z - 1)**2*(z + 6)
Let q(x) be the third derivative of -5*x**8/336 - 3*x**7/14 - x**6/4 + 4*x**5/3 + 109*x**2. Solve q(u) = 0 for u.
-8, -2, 0, 1
Let q = 498 - 493. Suppose -16 = w - 4*h, 2*h + 9 = -4*w + 7*h. Factor l**5 + 8*l**2 - 3*l + 3*l**q - 8*l**w - l.
4*l*(l - 1)**3*(l + 1)
Suppose 0*h - a + 1 = 2*h, -4*h - 4 = 4*a. Suppose -3*b = -2*s - 3*s - 17, -2*b - h*s + 22 = 0. Factor -1/3*o**3 - b*o - 3*o**2 - 9.
-(o + 3)**3/3
Let u(k) be the second derivative of 12*k + 5/2*k**2 + 0 + 5*k**3 + 25/12*k**4. Factor u(v).
5*(v + 1)*(5*v + 1)
Let c(t) be the first derivative of -2*t**6/3 - 4*t**5 + 14*t**4 - 201. Factor c(l).
-4*l**3*(l - 2)*(l + 7)
Let j = 1278/5 + -2531/10. Solve -1/4*g**5 + 5/4*g**4 + 5/2*g**2 - j*g**3 + 1/4 - 5/4*g = 0.
1
Let k(d) = 5*d**2 + 25*d + 15. Let f = 1 + -7. Let m(o) = -5*o**2 - 26*o - 14. Let w(c) = f*k(c) - 5*m(c). Factor w(h).
-5*(h + 2)**2
Let d = -3262 + 3262. Factor -4/13*w**4 + d + 0*w**3 + 4/13*w**2 - 2/13*w + 2/13*w**5.
2*w*(w - 1)**3*(w + 1)/13
Let m(x) = -x**3 - 22*x**2 - 3*x - 64. Let z be m(-22). Solve 3/4*g**5 + 12 + 0*g - 3*g**3 + 9/4*g**4 - 12*g**z = 0 for g.
-2, 1, 2
Factor 16/5 + 484/5*q + 24*q**2.
4*(q + 4)*(30*q + 1)/5
Let d = 329 + -327. Let r(v) be the first derivative of -2/3*v**3 + 0*v**d + 0*v + 5. Determine n, given that r(n) = 0.
0
Let i = -126 - -128. Let -19*b + 4*b - 3*b**3 + 7 - 13 - 12*b**i = 0. What is b?
-2, -1
Let k = 5299 + -3338369/630. Let v(y) be the third derivative of 0*y**6 + 0 - 1/36*y**4 - k*y**7 + 0*y**3 + 1/60*y**5 - y**2 + 0*y. Factor v(f).
-f*(f - 1)**2*(f + 2)/3
Let o(z) = 2*z**3 + 7*z**2 + 5*z. Let b be (-6)/(-6)*2 - 2*2. Let k(m) = 0*m**3 + 4*m - 2*m**2 + 8*m**2 + 2*m**3. Let w(u) = b*o(u) + 3*k(u). Factor w(x).
2*x*(x + 1)**2
Factor 4/9*c - 1/9*c**2 + 4/3.
-(c - 6)*(c + 2)/9
Let g(u) be the second derivative of -u**5/25 + 13*u**4/60 + 13*u**3/30 - 2*u**2/5 + 4*u + 18. Find o, given that g(o) = 0.
-1, 1/4, 4
Factor -190061 + 10503*r**3 - 10498*r**3 + 19440*r - 43219 - 540*r**2.
5*(r - 36)**3
Suppose o - 6 = g, 0*o - 5*g - 26 = -3*o. Factor 6*n**3 + 34*n**4 - 4*n**o - 19*n**4 - 17*n**4.
-2*n**2*(n - 2)*(n - 1)
Let r be (5/(-1 + 16))/1*0. Let j(k) be the third derivative of -k**3 + 0 - 1/30*k**5 - k**2 - 1/3*k**4 + r*k. Factor j(x).
-2*(x + 1)*(x + 3)
Let x(d) be the second derivative of -d**4/6 - 8*d**3/3 + d - 47. Factor x(a).
-2*a*(a + 8)
Suppose -i - 23 = 2*r, 0 = r - 3*i + 21 + 1. Let y be (-2)/8 + r/(-4). Factor -6*s - 4*s - 3*s**2 + s + 3 - y*s**3 + 12*s**3.
3*(s - 1)*(s + 1)*(3*s - 1)
Let u = 599456514/335 + -1789421. Let i = -2/67 + u. Factor -i*w**2 - w - 1/5 - 3/5*w**3.
-(w + 1)**2*(3*w + 1)/5
Solve 21/8*f**4 - 33/8*f**2 - 9/8*f**3 + 9/8*f + 3/2 = 0.
-1, -4/7, 1
Let -54/7 + 18/7*g + 6/7*g**2 - 2/7*g**3 = 0. Calculate g.
-3, 3
Suppose 54*m - 53*m - 3 = 0. Let b(h) be the second derivative of 147/5*h**6 + 284/3*h**4 - 4*h + 84*h**5 + 16*h**2 + 0 + 160/3*h**m. Solve b(j) = 0.
-2/3, -2/7
Let c(h) = h**3 + 13*h**2 - 3*h - 37. Let y be c(-13). Let s(f) be the first derivative of -8*f**y - 1 + 3*f**4 - 16/3*f**3 + 0*f. Factor s(w).
4*w*(w - 2)*(3*w + 2)
Factor 2/11*x**3 - 10/11*x - 8/11*x**2 + 0.
2*x*(x - 5)*(x + 1)/11
Suppose -5*s = -3*w + 710, -2*s - w - 431 = -136. Let v = s + 147. Solve 1/3*p**3 + 0 + 0*p + 0*p**v = 0 for p.
0
Let v(m) be the third derivative of m**7/210 + m**6/30 + m**5/10 + m**4/6 + m**3/6 - 30*m**2 - 2. Let v(p) = 0. What is p?
-1
Let g be ((-13)/(-26))/(1/368). Let w be (g/(-10))/(-2) - (-16)/40. Find z, given that -96/5*z**3 + 168/5*z**2 - 144/5*z - 3/5*z**5 + w + 27/5*z**4 = 0.
1, 2
Let f(j) be the second derivative of 0*j**2 + 2*j + 1/2*j**5 + 1/3*j**4 + 0*j**3 + 1/21*j**7 + 4/15*j**6 + 0. Factor f(u).
2*u**2*(u + 1)**2*(u + 2)
Let v = 1347 + -1345. Factor 0*t**3 + 2/3*t**5 - 4/3*t**v + 4/3*t**4 + 0 - 2/3*t.
2*t*(t - 1)*(t + 1)**3/3
Let r(h) be the second derivative of 0 + 0*h**2 + 0*h**3 - 1/10*h**6 - 1/4*h**4 - 3/10*h**5 + 12*h. Factor r(l).
-3*l**2*(l + 1)**2
Suppose 0 = c - 13 - 7. Suppose 5*f + 0*t - 12 = 4*t, c = 3*f + 4*t. Factor -y**2 - f*y + 1 + 1 + 0*y**2 + 3*y**2.
2*(y - 1)**2
Find o such that 3/2*o**2 + 30 - 27/2*o = 0.
4, 5
Determine q so that 14 + 9 + 34*q + 26 - 3 - 2*q**2 - 10 = 0.
-1, 18
Let b = -7568 + 37957/5. Let x = 118/5 - b. Factor 2/5*m - 1/5*m**2 - x.
-(m - 1)**2/5
Let q be 147/49 + (2 - -1)/3. Suppose 0*u + 1/5*u**q - 27/5 + 18/5*u**2 - 8/5*u**3 = 0. Calculate u.
-1, 3
Let n = -9 + 13. Suppose -4 = -6*x