*2 + 1/5*a**3.
(a - 66)*(a + 1)**2/5
Let s = -1127 + 1065016/945. Let l(y) be the third derivative of 1/54*y**4 + s*y**7 - y**2 + 0*y**3 + 0 + 0*y - 1/90*y**5 + 0*y**6. Factor l(u).
2*u*(u - 1)**2*(u + 2)/9
Let o(u) be the first derivative of u**4/12 - 13*u**3/9 + 55*u**2/6 - 25*u - 44. Factor o(i).
(i - 5)**2*(i - 3)/3
Factor 3/2*m**5 - 3/2*m**2 + 0*m + 3/2*m**4 + 0 - 3/2*m**3.
3*m**2*(m - 1)*(m + 1)**2/2
Let l(g) be the first derivative of g**4 - 4*g**3 + 4*g**2 + 114. Find m such that l(m) = 0.
0, 1, 2
Suppose 54*l - 51*l - 9 = 0. Let z(c) be the first derivative of 4/5*c**2 + 0*c + 5 + 1/10*c**4 - 8/15*c**l. Determine s so that z(s) = 0.
0, 2
Suppose p - 6*p = -20. Factor 4*k - 65 - p*k**2 + 65.
-4*k*(k - 1)
Let d be ((-2)/(-12))/((-1)/(-4)). Let t = -6664 + 6664. Suppose t*r - 2/3*r**2 + 0 + r**3 + d*r**4 = 0. Calculate r.
-2, 0, 1/2
Suppose -3*g = 2*g - 20. Suppose 4 = -2*u + g*u. Factor -4*m + 2*m**4 + 2*m + u*m + 2*m**3.
2*m**3*(m + 1)
Let q be (-2497)/165 - -19 - 4/(-30). Determine y, given that 0*y + 0 + 2/3*y**3 - 1/3*y**q - 1/3*y**2 = 0.
0, 1
Suppose -v + 34*x - 14 = 30*x, 0 = 2*v - 3*x + 8. Let h be (2 - 15/9)*1. Factor h*i - 3/2*i**4 + 0 - 8/3*i**3 - 5/6*i**v.
-i*(i + 1)**2*(9*i - 2)/6
Let x = 22/85 + -1/17. Let z(j) be the second derivative of -1/14*j**7 + x*j**6 - 3*j**2 + 7/2*j**3 - 2*j**4 + 3/10*j**5 + 0 - 4*j. What is w in z(w) = 0?
-2, 1
Let x(r) be the first derivative of 1/18*r**3 + 2*r + 4 + 1/36*r**4 + 0*r**2. Let t(n) be the first derivative of x(n). Find m such that t(m) = 0.
-1, 0
Let x = -28 + 38. Factor -8*k - 16 - 2*k**3 + 20 - 4*k**2 + x*k**3.
4*(k - 1)*(k + 1)*(2*k - 1)
Let g(c) = -2*c**2 + 6*c + 2. Let l(h) = -h**3 + 3*h**2 - 11*h - 1. Let k(x) = -x. Let m(j) = 5*k(j) - l(j). Let i(o) = -3*g(o) + 2*m(o). Factor i(n).
2*(n - 2)*(n + 1)**2
Let k(q) = -q**2 + 3*q + 4. Let n be k(3). Let 0*c**2 + c**5 + c**3 + 2*c**2 - 4*c**4 - 5*c - c**3 + 2 + n*c**3 = 0. Calculate c.
-1, 1, 2
Let i be 30/(-84)*(-16)/10. Solve 10/7*w**3 - i + 2*w - 18/7*w**2 - 2/7*w**4 = 0 for w.
1, 2
Let l = 295/22 - 120/11. Factor -5/2*b**2 + 0*b + l*b**3 + 0.
5*b**2*(b - 1)/2
Let c(j) be the third derivative of j**6/660 - j**5/66 - j**4/6 - 16*j**3/33 + 151*j**2. Factor c(m).
2*(m - 8)*(m + 1)*(m + 2)/11
Suppose -37*v + 41*v + 22 = s, -3*s = -3*v - 21. Find a such that -2/5*a - 1/5 - 1/5*a**s = 0.
-1
Let g = 259 - 134. Let j = 127 - g. Factor -4/3 + 4/3*q**j + 0*q.
4*(q - 1)*(q + 1)/3
Let f be 5/(-180)*(7 - 13). Factor -7/6*d**2 + f - 2/3*d**3 - 1/3*d.
-(d + 1)**2*(4*d - 1)/6
Let m be 7254/(-45) - (-1)/5. Let v = m + 1451/9. Factor v*d**2 - 2/9*d**3 + 2/9*d**5 + 0*d + 0 - 2/9*d**4.
2*d**2*(d - 1)**2*(d + 1)/9
Suppose 2/9 + 0*i - 2/9*i**2 = 0. Calculate i.
-1, 1
Factor 25*z**4 - 10*z + 85*z**2 + 10*z**4 + 38*z**3 - 23*z**3 - 125*z**3.
5*z*(z - 2)*(z - 1)*(7*z - 1)
Let -578/5 + 62/15*j**2 - 374/15*j - 2/15*j**3 = 0. What is j?
-3, 17
Let s(x) be the third derivative of -x**8/112 - 2*x**7/35 + 3*x**6/40 + 7*x**5/10 + x**4 - 12*x**2 - 2*x. Find p such that s(p) = 0.
-4, -1, 0, 2
Let d = 19186/15 + -1279. Let z(j) be the third derivative of -1/450*j**5 + 0*j - 9*j**2 + 0 + d*j**3 + 1/90*j**4. Factor z(q).
-2*(q - 3)*(q + 1)/15
Factor -18*j**2 + 30*j**2 - 11*j**4 - 2*j**4 + 12*j**3 + 4*j**4.
-3*j**2*(j - 2)*(3*j + 2)
Suppose -8*q - 5 = -5*a - 9, 7 = -3*q + 4*a. Let 544*w - 49/5*w**4 - 952/5*w**q - 4344/5*w**2 - 80 = 0. What is w?
-10, 2/7
Suppose v = -2*v. Suppose -u + 2*z = 2, 0 = 2*u - 0*z - 3*z + 3. Factor -6*i**2 - 3*i**4 + v*i**2 + u*i**4 - 9*i**4 + 15*i**3 + 3*i**5.
3*i**2*(i - 2)*(i - 1)**2
Let f(z) be the third derivative of 0*z**4 + 0 - 1/75*z**5 + 1/50*z**6 + 1/420*z**8 - 2/175*z**7 - 18*z**2 + 0*z + 0*z**3. Solve f(r) = 0.
0, 1
Let n be 11 + -11 - 24/(-10). Factor 0 - 3/5*i + 12/5*i**2 - n*i**3.
-3*i*(2*i - 1)**2/5
Let j = 60 - 56. Factor 5*x - x**2 + 10 - 2*x - 4*x - j.
-(x - 2)*(x + 3)
Suppose -w - 5 = -2*r, -6*w = -5*r - w + 25. Suppose r = 5*c - 6 - 9. Find y, given that 2 - 59*y**2 - 2*y - 24*y**3 - 6 - 12*y**4 - 23*y**c - 26*y = 0.
-2, -1, -2/3, -1/4
Determine n so that 4/3*n**4 - 24 + 50/3*n**3 + 166/3*n**2 + 16*n = 0.
-6, -1, 1/2
Let w be 23 + (3 + 1)/(-2). Find m such that 10*m**2 + 3 - 10*m**4 + 5*m - 3 - 26*m**5 + w*m**5 = 0.
-1, 0, 1
Suppose 0 = 3*n - 28 + 4. Factor -4*g**2 + n - 5*g**3 + 9*g**2 + 7 + 15*g + 10*g.
-5*(g - 3)*(g + 1)**2
Let a(p) be the second derivative of -p**5/510 - p**4/17 - 12*p**3/17 + 7*p**2/2 + 22*p. Let l(d) be the first derivative of a(d). Factor l(x).
-2*(x + 6)**2/17
Suppose 223*q**3 - 413*q**5 + 1089*q**5 + 1092*q**4 + 187*q**3 + 64*q**2 + 245*q**3 - 175*q**3 = 0. What is q?
-1, -4/13, 0
Let 2*j**3 + 3 + 30 - 22*j - 7*j**2 + 10 - 9*j**2 - 7 = 0. Calculate j.
-2, 1, 9
Suppose -6*x + 11*x = 15. Let k(c) be the third derivative of 3/8*c**4 + 0 + 0*c + 1/5*c**5 + 1/24*c**6 + 1/3*c**x - 5*c**2. Let k(u) = 0. What is u?
-1, -2/5
Let j(d) = 29*d - 230. Let g be j(8). Factor 14/11 - 51/11*s + 7/11*s**g.
(s - 7)*(7*s - 2)/11
Let u(n) be the first derivative of 7*n**6/480 - n**5/48 - n**4/48 + 37*n**2/2 + 2. Let j(o) be the second derivative of u(o). Determine l so that j(l) = 0.
-2/7, 0, 1
Let q be 266/(-84) - 81/(-18). Factor -6*b**2 - 14/3*b + q.
-2*(b + 1)*(9*b - 2)/3
Let d(s) = 4*s**2 - 40*s + 41. Let w be d(1). Let k(i) be the third derivative of 0*i**3 + 0*i - 1/240*i**w + 1/480*i**6 - 6*i**2 - 1/48*i**4 + 0. Factor k(r).
r*(r - 2)*(r + 1)/4
Let d(i) be the third derivative of -i**5/20 + 2*i**4 + 17*i**3/2 - 60*i**2. Factor d(z).
-3*(z - 17)*(z + 1)
Factor 40*y**2 - 68*y**3 - 69*y**3 + 142*y**3 + 80*y.
5*y*(y + 4)**2
Factor -26/17*n**3 - 26880/17*n - 4096/17 - 1668/17*n**2.
-2*(n + 32)**2*(13*n + 2)/17
Solve 2*u**2 - 2*u**2 + 41 - 92*u - 10 + 4*u**2 + 137 = 0 for u.
2, 21
Let y(w) be the first derivative of w**3/3 - 9*w**2 + 32*w - 219. Factor y(h).
(h - 16)*(h - 2)
Let u(t) = -t**2 + 1. Let n(i) = -i**3 - 6*i**2 - 2*i + 3. Let g(v) = -2*n(v) + 6*u(v). Factor g(q).
2*q*(q + 1)*(q + 2)
Let f(h) be the third derivative of h**8/336 + h**7/210 - h**6/60 + 37*h**2. Determine x, given that f(x) = 0.
-2, 0, 1
Solve -10 + c**2 + 73*c + 15*c + 97 = 0.
-87, -1
Let s(y) = -15*y**3 + 20*y + 5. Let f(t) be the first derivative of -t**4/4 - t**3/3 - 7. Let m(u) = 5*f(u) + s(u). Suppose m(i) = 0. Calculate i.
-1, -1/4, 1
Let w(h) be the first derivative of -h**6/10 - 21*h**5/25 + 9*h**4/10 + 82*h**3/5 - 3*h**2/2 - 45*h - 441. Let w(x) = 0. What is x?
-5, -1, 1, 3
Suppose 10/3*a**2 + 0 - 28/3*a + 2/3*a**3 = 0. What is a?
-7, 0, 2
Let o(i) be the first derivative of i**4/30 + 4*i**3/15 + i**2/3 + 98. Let o(s) = 0. What is s?
-5, -1, 0
Let r be (9 - 7)*-1*2*31. Let c be r/(-28) + (-12)/28. Suppose 0*i + 1/4*i**5 + 0*i**c + 0*i**2 + 0*i**3 + 0 = 0. Calculate i.
0
Factor 57/2*v**4 + 48*v**3 + 0 + 0*v + 15/4*v**5 - 24*v**2.
3*v**2*(v + 4)**2*(5*v - 2)/4
Suppose 7*f - 5*f = 6. Factor l**4 - 4*l**4 - l**5 + 21*l**2 - 3*l**f - 22*l**2.
-l**2*(l + 1)**3
Suppose j - 7 + 3 = 0. Suppose 3*w + v + j = 4*w, -w - v + 4 = 0. Let -261*m**2 - 4*m**3 - 6 + 2*m + 2*m + 269*m**2 - 2*m**w = 0. What is m?
-3, -1, 1
Factor -3/4*c**2 + 0 + 0*c + 1/4*c**4 + 1/2*c**3.
c**2*(c - 1)*(c + 3)/4
Let h(f) be the second derivative of -f**7/1260 - f**6/135 - f**5/60 - 7*f**3/3 - 25*f. Let p(c) be the second derivative of h(c). Factor p(w).
-2*w*(w + 1)*(w + 3)/3
Let a(q) be the first derivative of 4*q**5/5 + 8*q**4 + 12*q**3 - 36*q**2 - 248. Solve a(j) = 0 for j.
-6, -3, 0, 1
Let b(k) = 4*k - 120. Let r be b(31). Let v be (2/8)/(1/2). Factor 3/2*z - 1/2*z**5 - z**2 - v + 3/2*z**r - z**3.
-(z - 1)**4*(z + 1)/2
Let b(n) be the third derivative of 1/48*n**4 + 0 + 0*n**3 + 3*n**2 - 1/840*n**7 + 0*n + 1/240*n**5 + 1/1344*n**8 - 1/160*n**6. Let b(q) = 0. What is q?
-1, 0, 1, 2
Let u(f) = f**3 + 24*f**2 + 48*f + 96. Let o be u(-22). Let k(a) be the third derivative of 16/39*a**3 + o*a**2 + 1/390*a**5 - 2/39*a**4 + 0 + 0*a. Factor k(m).
2*(m - 4)**2/13
Let b(r) = -r**3 + 5*r**2 - 3*r - 2. Let i be b(4). Suppose -35*k + 133 - 28 = 0. Let k*x + 14*x**4 - x - x**5 + 4*x**i - x**5 - 18*x**4 = 0. What is x?
-1, 0, 1
Let z be ((-273)/30)/(2527/(-1805)). Factor z*y**3 - 5/2*y**4 - 9/2*y**2 - 1/2*y + 1.
-(y - 1)**3*(5*y + 2)/2
Suppose -9*i + 4*i = -10. Let v be (7