**6/15 + o**5/15 - 5*o**4/12 + 2*o**3/3 - 219*o**2. Solve j(i) = 0 for i.
-1, 1, 2
Find i such that -2 + 2*i**2 - 2/3*i**3 + 2/3*i = 0.
-1, 1, 3
Solve 29 - 6 - 7 - 49*y**5 + 21*y**4 - 24*y + 73*y**3 - 20 - 17*y**2 = 0.
-1, -2/7, 1
Let v(m) = m**3 + m**2 - m. Let f(c) = -3*c**4 + 37*c**3 + 7*c**2 - 121*c + 78. Let d(p) = -f(p) - 2*v(p). Factor d(b).
3*(b - 13)*(b - 1)**2*(b + 2)
Determine z, given that 0*z**3 + 0*z**2 + 0*z + 0*z**4 + 0 + 3/5*z**5 = 0.
0
Let j(z) = 15*z**4 - 38*z**3 + 32*z**2 - 5. Let h(m) = -45*m**4 + 113*m**3 - 97*m**2 + 15. Let u(t) = -2*h(t) - 7*j(t). Solve u(p) = 0 for p.
-1/3, 1
Let j = 21 - 11. Let n = 12 - j. Factor 0*d + 0*d**n + 3*d**2 + 11*d - 2*d.
3*d*(d + 3)
Solve -2 - 15*f**2 - 16*f + 3*f**3 - 4*f + 2*f**3 + 2 = 0 for f.
-1, 0, 4
Let k(p) be the first derivative of 576*p**6 - 4320*p**5 + 9090*p**4 - 8210*p**3/3 + 330*p**2 - 18*p - 486. Factor k(c).
2*(c - 3)**2*(12*c - 1)**3
Solve 10/7*f - 8/7*f**2 - 4/7 + 2/7*f**3 = 0 for f.
1, 2
Solve -6*j**3 + 16*j**2 + 220 - 200*j + 19*j**2 + j**3 + 10*j**3 = 0 for j.
-11, 2
Let k(r) be the first derivative of -6*r**3/5 - 141*r**2/5 + 96*r/5 - 547. Factor k(f).
-6*(f + 16)*(3*f - 1)/5
Let g(z) = 7*z + 5. Let k be g(-3). Let a = -14 - k. Suppose j - 5*j - 4 + 3*j - j + a*j**2 = 0. What is j?
-1, 2
Let g = 1/465 + 154/465. Let r = -13 - -16. Factor 0 - g*v**r + 0*v**2 + 0*v - 1/3*v**4.
-v**3*(v + 1)/3
Let w(n) be the second derivative of n**6/720 - n**5/80 - 7*n**3/6 - 19*n. Let d(v) be the second derivative of w(v). Let d(y) = 0. What is y?
0, 3
Let i(s) be the first derivative of -8/3*s - 4/9*s**3 + 2 + 2*s**2. Factor i(x).
-4*(x - 2)*(x - 1)/3
Let p = 59 + -41. Suppose -14*k + p*k = 20. Suppose 0 + 2*r**k + 2/3*r + 4/3*r**4 - 8/3*r**3 - 4/3*r**2 = 0. What is r?
-1, 0, 1/3, 1
Let l(i) = 37 - i - 36 + 9*i**2 - 2*i**2. Let v be l(1). Factor 6*q**4 - 3*q**4 + v*q**4 - 2*q + 2*q**2 - 4*q**4 + 10*q**3.
2*q*(q + 1)**2*(3*q - 1)
Suppose -x = 75 - 77. Let b(d) be the second derivative of 1/2*d**4 - 3*d + 3/2*d**3 + 0 - 9/20*d**5 - 3*d**x. Factor b(a).
-3*(a - 1)*(a + 1)*(3*a - 2)
Suppose -u - 3 = -2*r, -3*u + 6 + 1 = -2*r. Factor 3*y**2 + u*y**2 - 11*y**2 - 2*y - 19*y.
-3*y*(y + 7)
Factor 3 - 27 + 19*d + 18*d**3 + 43*d - 54*d**2 - 2*d**4.
-2*(d - 4)*(d - 3)*(d - 1)**2
Let t(d) be the first derivative of 4*d**5/25 + 174*d**4/5 + 10092*d**3/5 + 322. Find k such that t(k) = 0.
-87, 0
Let t(k) = k**3 - 2. Let x be t(-2). Let b be 86/7 + x/35. Determine i, given that i**2 + 3*i**2 - 27*i - i**3 + b + 5*i**3 + 7*i = 0.
-3, 1
Factor -6517 + 4*i**2 + 6667 + i**2 - 85*i.
5*(i - 15)*(i - 2)
Suppose 19 = 4*n + 11. Factor 24*z**2 - 4*z**n + 156*z - 164*z - 12.
4*(z - 1)*(5*z + 3)
Let v be 2/(-7) + 4/28*-1965. Let t = 1407/5 + v. Factor f**3 + 0 + 0*f + t*f**2.
f**2*(5*f + 2)/5
Find u such that -11*u**2 - 32*u + 16*u**2 - 4*u + 170 - 59*u = 0.
2, 17
Let v(a) = -12*a**2 - 4*a + 12. Let k(n) = 10*n**2 + 3*n - 13. Let m(y) = -4*k(y) - 3*v(y). Suppose m(x) = 0. What is x?
-2, 2
Let f = -3076/5 + 915. Let p = 301 - f. Factor 2/5*z**2 - p*z + 4/5.
2*(z - 2)*(z - 1)/5
Let t(z) be the third derivative of 0*z + 0*z**5 - 17*z**2 + 1/1200*z**6 + 1/30*z**3 + 0 - 1/80*z**4. Solve t(x) = 0 for x.
-2, 1
Let m be (8/1680)/((-1)/(-2)). Let q(f) be the second derivative of -1/35*f**5 + 1/42*f**4 + f + 0*f**2 + m*f**6 + 0 + 0*f**3. Solve q(s) = 0.
0, 1
Let w be ((-36)/(-12))/(16 - 1). Let y(k) be the first derivative of -w*k**3 - 27/5*k - 9/5*k**2 - 6. Factor y(q).
-3*(q + 3)**2/5
Let j = 611/134 - 138/67. Suppose -j + 2*s + 1/2*s**2 = 0. Calculate s.
-5, 1
Let a(m) be the first derivative of 3 - 11/20*m**5 + 0*m**3 - 1/4*m**4 + 0*m - 2*m**2. Let s(v) be the second derivative of a(v). Factor s(h).
-3*h*(11*h + 2)
Suppose -m + r = -3*m, 0 = 5*m - 3*r. Suppose m = 2*o + 3*o - 5, -5*o = -q + 1. Let -5*f**5 + 12*f**3 - f**2 - 2*f**2 - f**5 + 3*f**4 - q*f**3 = 0. What is f?
-1, 0, 1/2, 1
Let i(v) be the third derivative of v**6/40 + v**5/10 - v**4 - v**2 - 92. Let i(y) = 0. What is y?
-4, 0, 2
Factor -473*f**2 - 474*f**2 + f**3 + 1431*f**2 - 479*f**2 + 6*f.
f*(f + 2)*(f + 3)
Let 2*j**4 + 0*j**2 + 3/2*j**3 + 0 + 1/2*j**5 + 0*j = 0. What is j?
-3, -1, 0
Let a be 464/87 + (-6)/18. Solve -5*s + 35/2*s**4 + 25/2*s**a + 0 - 35/2*s**2 - 15/2*s**3 = 0 for s.
-1, -2/5, 0, 1
Let s be (3 + -2 - -3) + 32 + -16. Factor -10*a**2 - 5*a**3 + 11*a**5 + 5*a + 9*a**5 + s*a**4 - 10*a**3.
5*a*(a + 1)**2*(2*a - 1)**2
Let w(j) be the second derivative of 0 + 11/3*j**4 + 4*j**2 + 49/60*j**6 + 21/5*j**5 - 16*j - 8*j**3. Suppose w(i) = 0. What is i?
-2, 2/7
Let b(h) be the first derivative of h**3/12 - 27*h**2/4 + 729*h/4 + 23. Factor b(d).
(d - 27)**2/4
Let l(h) be the second derivative of -7*h**4/12 - 5*h**3/3 - 3*h**2/2 + 12*h. Let n(v) = -15*v**2 - 20*v - 5. Let p(g) = -5*l(g) + 2*n(g). Factor p(m).
5*(m + 1)**2
Solve -6/19*v - 80/19 + 2/19*v**2 = 0 for v.
-5, 8
Let s = -1943 + 1945. Factor 0 + 5/3*j**3 + 1/3*j**4 + 8/3*j**s + 4/3*j.
j*(j + 1)*(j + 2)**2/3
Suppose 6 = -2*a + 5*w, -6 = -5*a + 2*w - 0*w. Factor -219*g**3 + 6*g - 10*g**a + 115*g**3 + 2*g**4 + 106*g**3.
2*g*(g - 1)**2*(g + 3)
Factor 1/2 - 1/2*o**5 - o**2 + o**3 + 1/2*o**4 - 1/2*o.
-(o - 1)**3*(o + 1)**2/2
Let t(q) be the third derivative of q**9/20160 + q**8/6720 - q**7/1680 - q**6/240 - q**5/4 - 7*q**2. Let l(s) be the third derivative of t(s). Factor l(b).
3*(b - 1)*(b + 1)**2
Let n(x) = -82*x + 166. Let m be n(2). Suppose 1/2*f - 1/8*f**m + 5/8 = 0. Calculate f.
-1, 5
Determine n so that -82/5*n**3 - 12/5*n + 16/5*n**5 + 14*n**2 + 0 - 28/5*n**4 = 0.
-2, 0, 1/4, 1/2, 3
Let h(p) be the third derivative of 0 + 17/240*p**4 + 1/10*p**3 - 17*p**2 + 1/40*p**5 - 1/2100*p**7 + 0*p + 1/400*p**6. Factor h(j).
-(j - 6)*(j + 1)**3/10
Let q(b) be the third derivative of b**5/90 - b**4/18 - 3*b**2 - 10*b. Let q(d) = 0. What is d?
0, 2
Factor -10/9*z**4 + 0 + 16/9*z**3 + 0*z + 2/9*z**5 - 8/9*z**2.
2*z**2*(z - 2)**2*(z - 1)/9
Solve 6*v**2 - 4/3*v**4 - 167/3*v**3 + 2772*v + 8712 + 1/3*v**5 = 0.
-6, 11
Let g be (-7)/((-210)/(-20)) - (-10)/15. Let a(j) be the second derivative of 1/42*j**4 + 0 + 0*j**3 - 6*j - 1/105*j**6 + 0*j**2 + g*j**5. Solve a(v) = 0.
-1, 0, 1
Let j(g) = -24*g**3 - 227*g**2 - 400*g. Let x(n) = 11*n**3 + 113*n**2 + 200*n. Let d(f) = 3*j(f) + 7*x(f). Suppose d(a) = 0. Calculate a.
-20, -2, 0
Let i(r) = -7*r**3 + 28*r**2 - r + 4. Let t be i(4). Let y(j) be the first derivative of 5 + 1/2*j**4 - 3*j**2 + t*j**3 + 4*j. Find l such that y(l) = 0.
-2, 1
Let s be (1 - 2 - -1)*(441/36 + -12). What is w in -2/9*w**2 - 2/9*w + s = 0?
-1, 0
Let w be (-28)/(-70) + 36/10. Factor -258*f + 258*f + 4*f**2 - w.
4*(f - 1)*(f + 1)
Let o be -14*(-3 + (-6 - -2)). Factor -12*c**5 + o*c**4 + 4*c**3 + 12*c**3 - 8*c**5 - 94*c**4.
-4*c**3*(c - 1)*(5*c + 4)
Let x(n) = n + 11. Let p = -7 + -2. Let b be x(p). Factor -2 + 3*i**2 + 8*i + 10 + b*i**2 - 3*i**2.
2*(i + 2)**2
Let o(x) = 5*x**2 + 35*x. Let f(b) = 10*b**2 + 70*b. Let i(q) = -3*f(q) + 5*o(q). Factor i(v).
-5*v*(v + 7)
Suppose -4*x**4 + 25*x**2 + 13*x**2 - 14*x + 16*x**3 - 2*x**2 + 38*x + 8*x**2 = 0. Calculate x.
-1, 0, 6
Let s = 43 - 38. Determine q, given that -s*q + 11*q**3 + 17*q - 2*q**3 + 39*q**2 = 0.
-4, -1/3, 0
Suppose 282*x - 64 = 266*x. Let m(r) be the second derivative of -13/15*r**3 + 8/15*r**x - 4*r + 0 - 2/25*r**5 + 3/5*r**2. Factor m(l).
-2*(l - 3)*(2*l - 1)**2/5
Factor 139*r**2 + 4*r**3 - 1584 - 231*r**2 + 287*r + 385*r.
4*(r - 11)*(r - 6)**2
Let l(j) be the second derivative of j**7/189 - 4*j**5/15 - 13*j**4/27 + 29*j**3/9 + 10*j**2 - 350*j. What is o in l(o) = 0?
-3, -1, 2, 5
Let w(i) = 2*i**2 - 2*i + 12. Let t(s) = -s**2 + 3*s - 12. Let n(k) = -k**3 + 5*k**2 - 2*k - 2. Let o be n(2). Let v(h) = o*t(h) + 5*w(h). Factor v(a).
4*(a - 1)*(a + 3)
Let l(h) be the second derivative of h**5/10 + 32*h**4/3 + 1024*h**3/3 - 348*h. Let l(t) = 0. What is t?
-32, 0
Solve 24*t**4 - 2 - 3*t**5 - 16 - 6*t**4 + 9*t - 30*t**3 + 24*t = 0 for t.
-1, 1, 2, 3
Let f = -244 + 366. Let -f - l + 122 + l**3 = 0. What is l?
-1, 0, 1
What is f in 15/7*f - 36/7 - 1/7*f**2 = 0?
3, 12
Let s(c) = 8*c + 16. Let z be s(-2). Determine p so that 0 - 1/2*p**3 - 1/2*p**4 + z*p - 1/6*p**2 - 1/6*p**5 = 0.
-1, 0
Solve 1/3*y**2 + 59/3 + 20*y = 0 for y.
-59, -1
Suppose