ch that v(g) = 0.
-1, 1
Let z be (7*13/(-182))/((-12)/32). Find c, given that -2/3 + z*c**3 + 2/3*c**4 + 0*c**2 - 4/3*c = 0.
-1, 1
Let c(b) = -b**2 - 17*b + 3. Let j be c(-17). Determine z, given that 17*z + 38*z**4 + 9*z**5 + 2 + 48*z**2 + 38*z**3 + 6*z**j + 18*z**3 = 0.
-1, -2/9
Suppose 0 = -7*a + 9*a - 78. Factor 2*j**2 - j**3 + 39 - a - 6*j**3.
-j**2*(7*j - 2)
Solve 0 - 87/2*q**4 + 87/2*q**2 + 2523/2*q - 3/8*q**5 - 10089/8*q**3 = 0.
-58, -1, 0, 1
Let j(g) be the third derivative of -g**6/1260 + g**5/140 + g**4/21 - 14*g**3/3 - 28*g**2. Let f(s) be the first derivative of j(s). Factor f(m).
-2*(m - 4)*(m + 1)/7
Let x(m) = m**3 - m**2 - m - 1. Let p(i) = 5*i**4 + 35*i**3 + 35*i**2 + 25*i. Let z(u) = -p(u) + 10*x(u). Find l such that z(l) = 0.
-2, -1
Let s(m) be the third derivative of m**6/540 + m**5/90 + m**4/36 + 5*m**3/2 - 20*m**2. Let x(r) be the first derivative of s(r). Find y, given that x(y) = 0.
-1
Let r(w) be the first derivative of -w**4/28 + 2*w**2/7 - 34. Let r(h) = 0. Calculate h.
-2, 0, 2
Let a be -1 - 5 - -5 - -3. Let t(r) = -r - 10. Let b be t(-10). Suppose -4/5*h**3 + b - 8/5*h**a - 4/5*h = 0. Calculate h.
-1, 0
Let g(a) = -81*a**2 - 465*a + 1056. Let u(v) = -5*v**2 - 29*v + 66. Let l(b) = 2*g(b) - 33*u(b). Factor l(t).
3*(t - 2)*(t + 11)
Suppose 329 = 12*m + 293. Let p(v) be the second derivative of -10*v**2 - 3*v + 10/3*v**m - 5/12*v**4 + 0. Solve p(b) = 0 for b.
2
Let w(q) = -44*q + 12. Let k be w(-2). Let v = -97 + k. Suppose 0*d**v + 0 - 3/2*d**2 - d + 1/2*d**4 = 0. What is d?
-1, 0, 2
Let 12/5*p + 22/5*p**2 + 8/5*p**3 + 0 - 2/5*p**4 = 0. What is p?
-1, 0, 6
Let h = -2/67 - -357/737. Let v = 21/22 - h. Let 0*r**2 + 3/4*r + v - 1/4*r**3 = 0. Calculate r.
-1, 2
Let o be 640/(-240)*(-4)/(-16)*1*-2. Factor 16/3 - 1/3*r**4 + 0*r**2 - 16/3*r + o*r**3.
-(r - 2)**3*(r + 2)/3
Let g(b) be the third derivative of -b**8/3360 + b**7/1680 + b**6/360 + 13*b**3/6 - 12*b**2. Let n(l) be the first derivative of g(l). Solve n(h) = 0 for h.
-1, 0, 2
Let z(a) be the third derivative of 25*a**7/42 - 65*a**6/8 - 14*a**5/3 + 55*a**4/2 - 80*a**3/3 - 2*a**2 + 12. Factor z(b).
5*(b - 8)*(b + 1)*(5*b - 2)**2
Let o = -204 + 204. Let r(t) be the third derivative of o - 3*t**2 + 0*t + 1/210*t**5 + 1/28*t**4 + 2/21*t**3. Factor r(g).
2*(g + 1)*(g + 2)/7
Let s be (-2)/14*1162/(-249). Determine g so that s*g + 0 - 1/3*g**2 = 0.
0, 2
Let g(s) = 3*s**4 + 1 - 3 + s**5 + 21*s + 2*s**3 - 19*s. Let j(n) = 6*n**5 + 16*n**4 + 10*n**3 + 11*n - 11. Let d(b) = 11*g(b) - 2*j(b). Factor d(l).
-l**3*(l - 2)*(l + 1)
Let z(d) be the second derivative of 18*d - 1/54*d**4 + 4/27*d**3 - 4/9*d**2 + 0. Factor z(n).
-2*(n - 2)**2/9
What is p in -9/2 + 1/2*p**3 - 7/2*p**2 + 15/2*p = 0?
1, 3
Factor 24/11*f**3 + 2/11*f**5 + 0 + 0*f + 16/11*f**2 + 12/11*f**4.
2*f**2*(f + 2)**3/11
Let j = -43355 - -43357. Factor 6*v**j + 0 - 3/2*v**5 - 3/2*v - 9*v**3 + 6*v**4.
-3*v*(v - 1)**4/2
Let d be (7 + -12 - 153/(-30))/((-3)/(-24)). Solve 0*j + 0 + 4/5*j**3 - 1/5*j**4 - d*j**2 = 0.
0, 2
Let f be (-1397)/(-254) + 14/(-4). Determine b, given that -b + 4/5 + 1/5*b**f = 0.
1, 4
Let o = -35 - -36. Suppose -4*t = 0, -4*p = 3*t - 13 + o. Factor -10/3*d**p + 4/3*d - 2*d**2 + 0.
-2*d*(d + 1)*(5*d - 2)/3
Let u(d) = -d**3 - 8*d**2 + 3*d + 28. Let f be u(-8). Suppose 5*s = -2*l + 18, -s = -2*l - 4 + 10. Factor -f*t + l + t + 11*t + 4*t**2.
4*(t + 1)**2
Let c(f) be the third derivative of f**8/224 - f**7/14 + 13*f**6/80 + 4*f**5/5 - 17*f**4/4 + 8*f**3 + 2*f**2 + 45. Find d such that c(d) = 0.
-2, 1, 2, 8
Let z(u) be the second derivative of 7*u**6/10 - 39*u**5/20 - 23*u**4/4 - 3*u**3/2 - u + 55. Factor z(n).
3*n*(n - 3)*(n + 1)*(7*n + 1)
Let b be 8 - 10*5/10. Let k(z) be the third derivative of -1/105*z**7 - 6*z**2 + 0 + 0*z - 1/20*z**6 + 0*z**b - 1/12*z**4 - 1/10*z**5. Solve k(u) = 0 for u.
-1, 0
Let j be (150/160)/((-6)/(-8)). Factor 3/2*m + j + 1/4*m**2.
(m + 1)*(m + 5)/4
Let l = -19710 - -39435/2. Suppose -l - 21/4*o - 3/4*o**2 = 0. Calculate o.
-5, -2
Factor -4*q**3 + 12*q**2 + 98*q - 215*q + 117*q.
-4*q**2*(q - 3)
Factor -18/19*q**2 + 40/19*q + 2/19*q**3 - 24/19.
2*(q - 6)*(q - 2)*(q - 1)/19
Let j(v) be the second derivative of 0 + 0*v**2 + 1/25*v**5 - 6*v - 1/15*v**3 - 1/105*v**7 + 0*v**4 + 0*v**6. Let j(b) = 0. Calculate b.
-1, 0, 1
Let d(s) be the second derivative of 3/13*s**2 + 0 + 2/39*s**3 + 14*s - 1/78*s**4. Suppose d(z) = 0. Calculate z.
-1, 3
Let t be 2/((-624)/(-378090)) + 2/8. Let j = t - 1211. Find l, given that -36/13*l**2 - 16/13 + 40/13*l - 2/13*l**4 + j*l**3 = 0.
1, 2
Let t be (-8)/126*(-126)/840. Let g(l) be the second derivative of -1/35*l**5 + 0*l**2 + 1/42*l**4 + t*l**6 + 2*l + 0*l**3 + 0. Determine s so that g(s) = 0.
0, 1
Suppose -4*p - 5 = -17. Let v(g) be the first derivative of 0*g**3 + g**2 + 3*g**p - 1 - 6. Factor v(j).
j*(9*j + 2)
Let h(n) be the third derivative of 2/65*n**5 + 32*n**2 + 0*n**4 + 0*n + 0 + 1/195*n**7 - 1/2184*n**8 - 4/195*n**6 + 0*n**3. What is x in h(x) = 0?
0, 2, 3
Let m = -294 + 154. Let z = m - -563/4. What is k in -3/4*k - z*k**2 + 3/2 = 0?
-2, 1
Factor 61*m - 36*m - m**2 - 4*m**2 + 120.
-5*(m - 8)*(m + 3)
Let x(f) = -f**2 - f - 4. Let i be x(3). Let d = i + 28. Suppose -3*c**5 + 2*c**2 - 5*c**2 + 15*c**3 - d - 41*c**4 + 44*c**4 - 24*c = 0. What is c?
-1, 2
Let a(u) be the first derivative of u**6/24 + u**5/3 + 25*u**4/24 + 5*u**3/3 - 15*u**2/2 + 5. Let f(k) be the second derivative of a(k). Factor f(h).
5*(h + 1)**2*(h + 2)
Suppose 0 = -13*r + 8*r. Let s(g) be the second derivative of 3*g + 1/24*g**4 - 1/4*g**2 + 0*g**3 + r. Factor s(f).
(f - 1)*(f + 1)/2
Let d be (0/2)/(-2)*(-2)/4. Let r(f) be the third derivative of -1/20*f**6 - 3/4*f**4 + d + 3/10*f**5 + 1/315*f**7 + 0*f + 0*f**3 + 8*f**2. Factor r(b).
2*b*(b - 3)**3/3
Factor -4*x + 4*x**2 + 21*x - 169*x.
4*x*(x - 38)
Let j(o) be the third derivative of o**5/300 + o**4/30 + 2*o**3/15 - 109*o**2. Factor j(z).
(z + 2)**2/5
Let u(q) be the first derivative of -25*q**6/27 - 2*q**5/3 + q**4/2 - 2*q**3/27 + 130. Factor u(t).
-2*t**2*(t + 1)*(5*t - 1)**2/9
Let m(r) be the first derivative of 4/3*r - 13 + 1/9*r**3 - 2/3*r**2. Factor m(j).
(j - 2)**2/3
Let i be 27/81*3/((-3)/(-1)). Let h(v) be the second derivative of 0 - 2*v - i*v**2 + 1/18*v**4 + 0*v**3. Factor h(a).
2*(a - 1)*(a + 1)/3
Let m(x) be the first derivative of 0*x**2 - 14/15*x**5 - 4/9*x**6 + 0*x**3 - 1/2*x**4 - 31 + 0*x. Factor m(h).
-2*h**3*(h + 1)*(4*h + 3)/3
Let o = 13 + -8. Let c(p) = o + 3*p + 3*p + 6*p**3 - 5. Let v(l) = 5*l**3 - l**2 + 5*l. Let w(u) = -3*c(u) + 4*v(u). Factor w(d).
2*d*(d - 1)**2
Suppose -3 = -3*z + 3. Factor -1 + 15*t**3 + 5*t**4 - z + 3.
5*t**3*(t + 3)
Let p = 18 - 2. Suppose m = 9*m - p. Find g such that -7*g**3 + 12*g**3 - 12 - 2*g**3 + 9*g**m = 0.
-2, 1
Suppose 6 - 51 = -3*p. Determine b, given that -b**5 - 4*b**2 - 4*b**5 + 4*b**2 + p*b**4 = 0.
0, 3
Let q(t) be the first derivative of 2*t**5/35 + 3*t**4/14 + 4*t**3/21 + 108. Suppose q(j) = 0. Calculate j.
-2, -1, 0
Let z(q) = 2*q**3 - 23*q**2 - 90*q + 91. Let s(o) = -o**3 + 11*o**2 + 44*o - 46. Let g(y) = 5*s(y) + 2*z(y). Factor g(h).
-(h - 12)*(h - 1)*(h + 4)
Let p be ((-2)/5)/((-8)/80). Let i(g) be the first derivative of 2/3*g**3 - g + 0*g**p + 0*g**2 - 1/5*g**5 - 3. Solve i(h) = 0.
-1, 1
Let r(s) be the second derivative of -s**7/42 + s**6/5 + s**5/2 - 4*s**4/3 - 11*s**3/2 - 7*s**2 + 12*s + 1. Factor r(h).
-(h - 7)*(h - 2)*(h + 1)**3
Let r(g) = -3*g**2 - 10*g + 5. Let t = 21 - 14. Let n(v) = 0*v + 1329 + 19*v + 5*v**2 - 1340. Let d(u) = t*r(u) + 4*n(u). Suppose d(a) = 0. Calculate a.
3
Factor 5*m + 59*m**3 + 5*m + 5*m**2 + 7*m**2 - 57*m**3.
2*m*(m + 1)*(m + 5)
Let s = 9 + -11. Let w(v) = v**2 + 2*v + 3. Let j be w(s). Factor d**3 - 2*d**j - d**3 + 2*d**2.
-2*d**2*(d - 1)
Find p such that 637 + 217 - 9600*p - 9425*p**3 + 1200*p**4 + 586 - 45*p**5 + 9775*p**2 + 9075*p**2 = 0.
1/3, 2, 12
Let i be (28 + -56 + 28)*(-1)/(-4). What is c in -1/2*c**2 - 1/2*c**4 + i*c + 0 - c**3 = 0?
-1, 0
Let t(f) be the second derivative of -f**4/72 + 107*f**3/36 + 9*f**2 - 567*f. Find o such that t(o) = 0.
-1, 108
Let r(l) be the second derivative of l**6/30 + 17*l**5/20 + 19*l**4/4 + 67*l**3/6 + 13*l**2 - 31*l. Determine y so that r(y) = 0.
-13, -2, -1
Let r(w) be the s