2 - 3/35*r**5 + 0. Factor o(j).
-2*j*(j + 1)**4/7
Determine k, given that 2/13*k**3 + 108/13 - 214/13*k + 8*k**2 = 0.
-54, 1
Let h = -91 + 83. Let t be (2 - 2) + h/(-12). Factor 0 + t*a**2 - 2*a.
2*a*(a - 3)/3
Let k be (-7)/(-3)*(-68)/(-1428). Let a(o) be the third derivative of k*o**3 + 0*o + 0*o**4 - 6*o**2 + 0 + 0*o**6 + 1/315*o**7 - 1/45*o**5. Factor a(i).
2*(i - 1)**2*(i + 1)**2/3
Let k = -30/313 - -999/626. What is m in 3/2*m**5 - 9/2*m**3 - 3/2*m**2 + 0 + 3*m + k*m**4 = 0?
-2, -1, 0, 1
Let b(a) be the first derivative of -845*a**6/6 - 780*a**5 - 6385*a**4/4 - 4610*a**3/3 - 720*a**2 - 160*a + 258. Let b(l) = 0. Calculate l.
-2, -1, -4/13
Let l be 1 + 2 - 11122/7. Let b = l - -1589. Find w, given that -10*w**3 + 40/7*w - 8/7 - b*w**2 = 0.
-1, 2/7, 2/5
Suppose -38 = -2*m - 4*w, 0 = -3*w - 0 + 6. Suppose 4*j + 12 = -3*r, 4*r + 7*j + m = 2*j. What is s in 0*s**3 - 4/9*s**2 + 2/9*s**5 - 2/9*s + 4/9*s**4 + r = 0?
-1, 0, 1
Let y(g) be the third derivative of g**5/720 - g**4/9 - 215*g**2. Factor y(h).
h*(h - 32)/12
Let r(s) = s**2 + 9*s + 8. Let i be r(-8). Suppose -y = -2 - i. Let 4*u - 20*u**2 + 0*u**y + 4 + 8*u**3 + 4 = 0. Calculate u.
-1/2, 1, 2
Let u be 356/(-267)*(-36)/10. Let u*f - 72/5 + 2/5*f**4 - 24/5*f**3 + 14*f**2 = 0. What is f?
-1, 1, 6
Let h = -347 - -1389/4. Let i(x) be the second derivative of -1/8*x**4 - h*x**2 + 3*x + 1/15*x**6 + 0 + 1/8*x**5 - 5/12*x**3. Factor i(k).
(k - 1)*(k + 1)**2*(4*k + 1)/2
Let d be -7*120/1596*-1. Solve d*b - 4/19 - 2/19*b**3 + 2/19*b**4 - 6/19*b**2 = 0.
-2, 1
Suppose 0 = p + 2*s + 7, -3*s + 25 = 5*p - 5*s. Factor -566*c - p*c**4 - 3*c**3 + 566*c.
-3*c**3*(c + 1)
Suppose 9 - 1 = 2*m. Factor -2*s**2 + s**2 - s**m - s**4 + 3*s**2.
-2*s**2*(s - 1)*(s + 1)
Let m(t) be the third derivative of -6*t**2 + 1/180*t**5 - 1/36*t**4 + 0 + 1/18*t**3 + 0*t. Suppose m(d) = 0. Calculate d.
1
Let p(i) be the first derivative of 3*i**4/16 + 3*i**3/4 + 3*i**2/4 - 71. Factor p(z).
3*z*(z + 1)*(z + 2)/4
Let o(d) be the second derivative of -3/20*d**5 - 7/30*d**6 + 7/12*d**4 + 0 + 0*d**2 - 1/3*d**3 + 5/42*d**7 - 5*d. Solve o(i) = 0 for i.
-1, 0, 2/5, 1
Let d(v) = v**2 + v + 1. Let u(x) = 5*x**2 + 3*x + 6. Let s(z) = 6*d(z) - u(z). Determine w, given that s(w) = 0.
-3, 0
Factor w**3 + 7714*w**4 + 27*w**2 - 7741*w**4 + 5*w**3 - 6*w.
-3*w*(w - 1)*(w + 1)*(9*w - 2)
Let r(u) be the second derivative of 0*u**3 + 0 - 1/3*u**4 + 2*u**2 - 8*u. Determine y, given that r(y) = 0.
-1, 1
Let r be (-1 + 0)/(10/(-30)). Find p, given that -5*p**4 + 6*p**4 + 2*p - 3*p + r*p**3 + 3*p**2 + 2*p = 0.
-1, 0
Let j(y) be the second derivative of 1/10*y**5 + 0*y**3 + 0*y**2 + 0 + 1/3*y**4 + 34*y. Factor j(d).
2*d**2*(d + 2)
Let p(m) = 3*m + 21. Let j be p(-6). Let o(w) be the second derivative of -1/24*w**4 - 1/4*w**2 - 3*w - 1/6*w**j + 0. Let o(n) = 0. Calculate n.
-1
Let m(n) be the second derivative of -n**4/42 - 2*n**3/21 + 8*n**2/7 - 94*n. Factor m(d).
-2*(d - 2)*(d + 4)/7
Let x = -933/5 - -187. Let z(v) be the first derivative of 2/3*v**3 + 1/6*v**6 - 2 + 0*v + 0*v**4 - x*v**5 - 1/2*v**2. Factor z(t).
t*(t - 1)**3*(t + 1)
Let v be (-13)/(-8) + (-27)/(-72). Let u(f) be the first derivative of -2*f**3 + 3/2*f - 2 - 3/4*f**4 + 9/10*f**5 + 3/2*f**v. Let u(n) = 0. Calculate n.
-1, -1/3, 1
Let d be 8/6*((-7)/(-9))/7. Let b(h) be the third derivative of -d*h**3 + 7*h**2 + 1/540*h**6 - 1/54*h**5 + 2/27*h**4 + 0*h + 0. Let b(n) = 0. Calculate n.
1, 2
Let s(b) be the second derivative of 5/42*b**7 + 11*b + 0*b**3 - 7/6*b**6 + 20/3*b**4 + 2*b**5 + 0*b**2 + 0. Let s(n) = 0. What is n?
-1, 0, 4
Let k(z) = -175*z - 525. Let q be k(-3). Factor 0*j - 2*j**3 + 2/3*j**2 + q.
-2*j**2*(3*j - 1)/3
Let n(a) = 3*a**2 + 198*a + 2883. Let p(l) = -3*l**2 - 200*l - 2883. Let x(s) = 7*n(s) + 6*p(s). Factor x(i).
3*(i + 31)**2
Let k(z) = -9*z**3 - 13*z**2 + 55*z + 149. Let j(f) = 4*f**3 + 6*f**2 - 28*f - 74. Let c(w) = 5*j(w) + 2*k(w). Suppose c(g) = 0. Calculate g.
-3, 4
Suppose 25 = 5*k + 26*d - 25*d, 2*d + 10 = 5*k. Factor 0 - 2/3*n**2 + k*n.
-2*n*(n - 6)/3
Suppose 0*h + h + 4 = 0, 87 = 5*t + 2*h. Suppose 25*m**3 + 5*m**5 - 14*m**5 - 20*m**4 - 17*m**3 - t*m**5 = 0. Calculate m.
-1, 0, 2/7
Let t(k) be the second derivative of k**5/40 + k**4/8 - k**2 + 49*k - 3. Factor t(l).
(l - 1)*(l + 2)**2/2
Let p(n) = 6*n**2 + 30*n + 18. Let b(v) = v**2 + v - 3. Let u(f) = 2*b(f) - p(f). Factor u(s).
-4*(s + 1)*(s + 6)
Suppose 11*t**5 - 40/3*t**4 + 0 - 4*t - 7*t**3 + 40/3*t**2 = 0. What is t?
-1, 0, 6/11, 2/3, 1
Let n(x) be the first derivative of x**6/18 + 4*x**5/5 - 4*x**4/3 - 34*x**3/9 + 21*x**2/2 - 26*x/3 + 796. Factor n(i).
(i - 1)**3*(i + 2)*(i + 13)/3
Let d = 45134/5 + -9026. What is u in -22/5*u + d + 22/5*u**2 + 6*u**3 - 18/5*u**4 = 0?
-1, 1/3, 2
Let c(r) be the third derivative of -r**8/21 + 4*r**7/35 + 23*r**6/120 - r**5/4 + r**4/12 + 161*r**2. Find a such that c(a) = 0.
-1, 0, 1/4, 2
Let r(b) be the first derivative of -5*b**4 + 965*b**3/3 - 5880*b**2 + 2880*b + 15. Let r(c) = 0. What is c?
1/4, 24
Solve -81/2*f + 18 + 1/4*f**4 + 109/4*f**2 - 5*f**3 = 0 for f.
1, 6, 12
Let j(o) be the second derivative of -o**7/84 + o**6/10 - 3*o**5/10 + o**4/3 - 28*o. Let j(d) = 0. What is d?
0, 2
Let i(g) be the first derivative of -g**3/9 + 5*g**2/2 + 34*g/3 - 26. Determine c, given that i(c) = 0.
-2, 17
Let z be ((-16796)/(-133))/26 - (-1 + (-6)/(-7)). What is o in 2*o + 4/7 + 16/7*o**2 + 4/7*o**3 - 2/7*o**z - 4/7*o**4 = 0?
-1, 2
Let c(l) = l - 6. Let y be c(10). Suppose 0*q + 2*x = -5*q + 10, 4*x = -y*q + 20. Solve 0*r + 2*r**5 + 0*r**2 + 18/7*r**4 + 4/7*r**3 + q = 0.
-1, -2/7, 0
Suppose 0 = -10*b + 2*b - 616. Let h = b - -80. Determine n so that 4/5*n - 4/5*n**h - 2/5*n**4 + 0 + 2/5*n**2 = 0.
-2, -1, 0, 1
Suppose 4*j - 13 = -l, 4*j - 8*l = -11*l + 23. Let x = 10 - 6. Suppose z**x - 12*z**3 + 0*z**j + 0*z - 16*z + 24*z**2 + z**4 = 0. Calculate z.
0, 2
Let l(u) be the third derivative of -u**11/166320 + u**9/30240 - 3*u**5/20 - 8*u**2. Let x(g) be the third derivative of l(g). Solve x(r) = 0.
-1, 0, 1
Suppose -2*y = -63 - 9. Suppose y = 4*m - m. Factor -m*c + 3*c**2 + 10*c - c**2.
2*c*(c - 1)
Factor 143*i + 2700 - 4300*i**2 + 4303*i**2 + 37*i.
3*(i + 30)**2
Let j(t) be the third derivative of -t**6/180 - t**5/90 + 2*t**4/9 + 4*t**3/3 + 21*t**2 - 2*t. Let j(w) = 0. What is w?
-2, 3
Suppose 4*w - s = 3*s, 2*w = s + 2. Let t(q) be the third derivative of -1/76*q**4 + 0*q**3 + 0 + 0*q + 11*q**w - 1/570*q**5. Let t(h) = 0. Calculate h.
-3, 0
Let t be ((-4)/(-6) + 1)/((-5)/(-6)). Suppose 4*x + 22 = 6, 0 = 4*s - 2*x - 52. Factor 11*n**4 - t*n**3 + s*n**4 - n**2 - 23*n**4.
-n**2*(n + 1)**2
Let k(p) be the first derivative of -p**7/42 - p**6/12 + 5*p**4/12 + 5*p**3/6 - 13*p**2/2 - 5. Let y(n) be the second derivative of k(n). Factor y(f).
-5*(f - 1)*(f + 1)**3
Let c(j) be the second derivative of -j**7/16380 - j**6/2340 + j**5/260 - j**4 + 12*j. Let i(t) be the third derivative of c(t). Solve i(d) = 0 for d.
-3, 1
Let a = -1433 + 1438. Let h(f) be the third derivative of -1/660*f**6 + 0*f**4 + 0*f**a + 4*f**2 + 0*f**3 + 0*f - 1/1155*f**7 + 0. Determine m so that h(m) = 0.
-1, 0
Let u(i) be the first derivative of 5*i**4/12 + 5*i**3/3 + 5*i**2/3 - 16. Determine z so that u(z) = 0.
-2, -1, 0
Let t = 278 + -298. Let j be (82/t - -4)*-4*2. Let -j*b + 1/5*b**2 + 3/5 = 0. What is b?
1, 3
Determine h, given that -8/5*h**2 + 4/5*h**4 + 6/5*h**5 + 6/5*h + 4/5 - 12/5*h**3 = 0.
-1, -2/3, 1
Factor -64/3 + 2/3*g**2 - 62/3*g.
2*(g - 32)*(g + 1)/3
Let b(x) be the first derivative of -13 + 0*x - 15/8*x**4 + 0*x**2 - 1/2*x**5 - 5/3*x**3. Factor b(c).
-5*c**2*(c + 1)*(c + 2)/2
Let o(x) be the second derivative of x**5/30 + 13*x**4/18 + 4*x**3/3 - 3*x - 1. Suppose o(h) = 0. Calculate h.
-12, -1, 0
Let -1/2*j**2 + 1/2*j + 21 = 0. Calculate j.
-6, 7
Let o = 5500/9 + -611. Let c(m) be the second derivative of 0 - 2*m - o*m**4 + 0*m**2 - 2/9*m**3. Factor c(b).
-4*b*(b + 1)/3
Let r be 530/6 + (-1 - 10/(-6)). Let a = r + -87. What is o in 2/7*o + 6/7*o**a - 4/7 = 0?
-1, 2/3
Let y(s) be the first derivative of 0*s - 1/4*s**3 + 17 - 3/4*s**2. Suppose y(x) = 0. What is x?
-2, 0
Let w = -5/132 - -313/132. Let h be 2 + -1 + (-8)/(-6). Factor 2/3 - 2/3*t**2 - h*t**3 + w*t.
-(t - 1)*(t + 1)*(7*t + 2)/3
Let n(m) be the 