(-5). Suppose q = 2*q - 4*b + 18, b - 5 = 0. Suppose -6/5 - 9/5*k**y + 9/5*k + 3/5*k**4 + 3/5*k**q = 0. Calculate k.
-1, 1, 2
Factor 12 + h**3 + 3*h**3 - 10*h**2 - 14 + 8*h + 0.
2*(h - 1)**2*(2*h - 1)
Let u = 282 - 280. Let g(k) be the first derivative of 2/7*k + 3/7*k**u + 1/14*k**4 + 2/7*k**3 + 3. Factor g(c).
2*(c + 1)**3/7
Let k(s) = 2*s**3 + 30*s**2 + 27*s - 11. Let p be k(-14). Suppose q + 0*f = 5*f + 19, 5*q - 29 = 3*f. Factor 36*b**p + 19*b - 19*b + 3*b**5 + 18*b**q + 24*b**2.
3*b**2*(b + 2)**3
Let t(m) be the third derivative of m**7/140 - 13*m**5/40 - 3*m**4/4 - m**2 + 39. Factor t(l).
3*l*(l - 4)*(l + 1)*(l + 3)/2
Suppose 0 = -13*v + 8*v + 270. Let s be (-2 + -2)*(-9)/v. Factor -2/9*z**2 - 4/9 + s*z.
-2*(z - 2)*(z - 1)/9
Let j(k) be the second derivative of -k**6/75 + 7*k**5/25 - 61*k**4/30 + 28*k**3/5 - 36*k**2/5 + 99*k - 2. Factor j(r).
-2*(r - 6)**2*(r - 1)**2/5
Let c(x) = -x**2 + 16*x - 13. Let v be c(14). Suppose -2*f = 2*r, 0*f + 2*f + 5*r + v = 0. Factor 2*a**2 + 0*a + a**4 - 13*a**f + 12*a**5 - 3*a**4 + a.
-a*(a - 1)*(a + 1)**3
Let u(a) be the third derivative of -a**8/168 - 4*a**7/105 - a**6/10 - 2*a**5/15 - a**4/12 - 2*a**2 - 33. Factor u(j).
-2*j*(j + 1)**4
Let c(m) be the first derivative of -3*m**5/5 - 3*m**4/2 + m**3 + 3*m**2 - 724. Determine u so that c(u) = 0.
-2, -1, 0, 1
Find k such that 0 + 17/5*k**4 - k**5 + 39/5*k**3 - 2*k + 7/5*k**2 = 0.
-1, 0, 2/5, 5
Let i be (-1 - (-3061)/(-11)) + 0. Let u = i + 280. What is n in -2/11*n**2 - 10/11*n - u = 0?
-4, -1
Let h(z) = 2*z**2 - 4*z - 5. Let x be h(-5). Factor -25*o**3 - 7 + 2 + 45 + 66*o + 64*o + x*o**2.
-5*(o - 4)*(o + 1)*(5*o + 2)
Let t(g) be the third derivative of 2*g**7/525 + 31*g**6/150 + 1129*g**5/300 + 217*g**4/10 + 294*g**3/5 + 119*g**2. Factor t(u).
(u + 14)**2*(2*u + 3)**2/5
Let o(d) be the first derivative of 5/3*d**3 - 10*d**2 + 5 + 20*d. Solve o(b) = 0 for b.
2
Suppose 0*x - 32 = -4*x. Let r be ((-24)/(-20))/(6/10). Factor 8*u**2 - 4*u**2 - r*u**2 - x*u.
2*u*(u - 4)
Let s be (-2)/(((-12)/8)/3). Let p(q) = -q**3 - q + 1. Let b(j) = -12*j**2 + 4*j + 12. Let v(i) = s*p(i) + b(i). Factor v(l).
-4*(l - 1)*(l + 2)**2
Let g(v) = v**2 - 12*v + 13. Let y be g(11). Suppose -t + 6*t - c - 70 = 0, 2*c = 0. Find k such that 12*k**y + t*k**2 - 10*k**3 + k + 11*k = 0.
-2/5, 0, 3
Let t = 730 + -725. Factor -4/7*o**3 + 2/7*o + 0*o**4 + 2/7*o**t + 0*o**2 + 0.
2*o*(o - 1)**2*(o + 1)**2/7
Let g(s) be the second derivative of s**8/672 + s**7/420 - s**6/60 - s**5/30 - 11*s**2/2 + 2*s. Let t(l) be the first derivative of g(l). Factor t(z).
z**2*(z - 2)*(z + 1)*(z + 2)/2
Let j(s) be the third derivative of s**4/24 + s**3/6 + 21*s**2. Let y(h) = -h**2 + 5*h. Let o(d) = -10*j(d) + 5*y(d). Factor o(w).
-5*(w - 2)*(w - 1)
Let k(g) = 17*g**4 + 30*g**3 - 89*g**2 + 53*g + 11. Let r(m) = 6*m**4 + 10*m**3 - 30*m**2 + 18*m + 4. Let w(x) = 4*k(x) - 11*r(x). Suppose w(i) = 0. What is i?
-7, 0, 1
Let r be -4*(6/(-15) - 3/30). Let h(b) be the second derivative of -1/9*b**3 + 1/12*b**r + 1/180*b**6 + 0 - 1/30*b**5 + b + 1/12*b**4. Factor h(y).
(y - 1)**4/6
Let w(j) = -702*j - 2106. Let x be w(-3). Factor -2/9*l**5 + 0*l**2 - 50/9*l**3 + 0 + x*l + 20/9*l**4.
-2*l**3*(l - 5)**2/9
Let s = 226/5 + -45. Let p = 216 + -212. Factor -s*f**p - 1/5 + 2/5*f**2 + 0*f**3 + 0*f.
-(f - 1)**2*(f + 1)**2/5
Let l(w) be the second derivative of w**5/70 - w**4/14 - 2*w**3/7 + 8*w**2/7 - 176*w - 1. Factor l(c).
2*(c - 4)*(c - 1)*(c + 2)/7
Let r = 1 - 1. Suppose 2*w - 3*j = 20, -5*j = 9*w - 4*w. Factor -1/6*q**3 - 2/3*q**w - 1/2*q**5 + r + 0*q**2 + 0*q.
-q**3*(q + 1)*(3*q + 1)/6
Factor -6/11*j + 4/11 + 2/11*j**2.
2*(j - 2)*(j - 1)/11
Let c(d) = d. Let x(p) = 3*p + 12. Let l(r) = 4*c(r) - x(r). Let g be l(14). Suppose -y + 5*y**3 + 3*y - 4*y**2 + 3*y - 6*y**g = 0. Calculate y.
0, 1
Let g be 1*(-1 - 0)*(-29 + 1). Suppose 8*j - 22*j + g = 0. Suppose 6 + 15/2*x + 3/2*x**j = 0. What is x?
-4, -1
Let n(c) be the first derivative of -c**5/60 - 33*c**2/2 - 15. Let b(j) be the second derivative of n(j). Suppose b(d) = 0. What is d?
0
Let o(i) = i + 10. Let q be o(-6). Suppose -n + 3 = -x, -q*x + 2*n + n - 9 = 0. Factor x - 2*v**3 + 8/5*v**4 + 0*v - 2/5*v**5 + 4/5*v**2.
-2*v**2*(v - 2)*(v - 1)**2/5
Suppose -85 = -4*c - 5. Let -8*m**2 + 11 + c*m + 4 + 13*m**2 = 0. What is m?
-3, -1
Suppose 16 = 4*u - 2*u. Suppose u = 4*y - 2*y. Factor 2*s**y + 5 - 1 - 4.
2*s**4
Suppose 3 + 5 - 8 = -179*b. Find i, given that b + 0*i + 2/3*i**2 = 0.
0
Let h(y) = -5*y**3 - 5*y**2 - 8*y - 54. Let c(s) = -11*s**3 - 11*s**2 - 16*s - 115. Let d(p) = 6*c(p) - 13*h(p). Factor d(o).
-(o - 3)*(o + 2)**2
Let i be (-46)/(-69) + 11/9 + -1. Determine x, given that -2/3*x + i*x**3 + 2/9 + 0*x**2 = 0.
-1, 1/2
Let z(t) = 2*t**2 + 703*t + 62663. Let i(j) = -j**2 - 352*j - 31331. Let w(x) = 5*i(x) + 2*z(x). Solve w(q) = 0.
-177
Suppose 0*q - 4/7*q**2 + 0 + 2*q**3 - 10/7*q**4 = 0. Calculate q.
0, 2/5, 1
Solve 6*x - 3/4*x**2 + 27/4 = 0 for x.
-1, 9
Suppose 0 = 626*t - 627*t. Let i(o) be the second derivative of -7*o + t + 1/3*o**4 + 5/6*o**3 + o**2 + 1/20*o**5. Solve i(q) = 0 for q.
-2, -1
Let k(g) be the third derivative of -g**6/420 + g**5/70 + g**4/84 - g**3/7 - 21*g**2 + 1. Suppose k(d) = 0. Calculate d.
-1, 1, 3
Let r(n) be the second derivative of -n**6/50 + 9*n**5/50 + 7*n**4/20 + 66*n. Determine y, given that r(y) = 0.
-1, 0, 7
Suppose u + 90*g = 92*g + 1, u + 3*g = 6. Let l(k) be the first derivative of -5/3*k**u - 3 + 0*k - k**2. Factor l(h).
-h*(5*h + 2)
Suppose -73*t + 89*t - 63 = -15. Find m, given that -1/4*m**t + 0*m**2 + 0 + 1/4*m = 0.
-1, 0, 1
Let v(m) be the second derivative of 3/20*m**5 - 3*m + 0 + m**3 + 3/4*m**4 + 0*m**2. Factor v(g).
3*g*(g + 1)*(g + 2)
Suppose -p = -4*r + 21, r = -5*p + 3*p + 3. Let k(m) = -m + 2. Let u be k(p). Factor -2*d**u + 8 - 5 - 7 + 6*d.
-2*(d - 1)**2*(d + 2)
Factor -20/7*i + 4/7*i**2 + 0.
4*i*(i - 5)/7
Let p be ((-3)/(-3))/((-1)/(-4)). Suppose -18 = -p*d + 2. Let 0*q + 3*q**2 - d*q**2 - 2*q + 4 = 0. Calculate q.
-2, 1
Let h(p) = 9*p - 126. Let d be h(17). Let l be (18/(-24))/(d/(-12)). Let -l*m**2 - 2/3*m - 1/3 = 0. What is m?
-1
Suppose -28*o**3 - 38*o**3 - 3*o**4 - 66*o**2 - 27*o**3 - 147 + 252*o + 57*o**3 = 0. What is o?
-7, 1
Let u = 8 - 5. Suppose -3*k + 3*c = 0, 2*c = 2*k - u*k + 6. Factor 4*d**3 + d**4 - 1 - 8*d - k + 2*d**2 + 4*d.
(d - 1)*(d + 1)**2*(d + 3)
Let b(y) be the first derivative of -y**6/57 + 2*y**5/95 + y**4/19 + 121. Factor b(l).
-2*l**3*(l - 2)*(l + 1)/19
Let m be (-2)/5 + 88/(-5). Let w = -13 - m. Factor -w*r**2 + 3*r**2 + 5*r**2 + 3*r.
3*r*(r + 1)
Let h(x) = 46*x**2 - 186*x + 360. Let u(m) = 35*m**2 - 185*m + 359. Let k(q) = -3*h(q) + 4*u(q). Solve k(s) = 0.
2, 89
Factor -40/7*c - 2/7 - 200/7*c**2.
-2*(10*c + 1)**2/7
Let c(k) be the second derivative of -3/2*k**2 + 1/6*k**3 + 0 - 1/20*k**5 + 1/4*k**4 - 18*k. Factor c(h).
-(h - 3)*(h - 1)*(h + 1)
Let a(d) = d**3 + d**2 - d + 7. Let c be a(0). Suppose 2*m = -1 + c. Factor 5 - 2 - m - v**5 + v**4.
-v**4*(v - 1)
Let m(i) be the third derivative of 0*i - 1/30*i**3 + 1/100*i**5 - 1/60*i**4 + 0 - 3*i**2. Find l such that m(l) = 0.
-1/3, 1
Suppose 0*m - 4*m + 8 = 0. Suppose -b = 2*x - 5, 0*x + m*b - 13 = -5*x. Let p(y) = 15*y**2 - 7. Let h(u) = -7*u**2 + 3. Let f(a) = x*p(a) + 7*h(a). Factor f(r).
-4*r**2
Let v(d) be the third derivative of d**6/40 + 3*d**5/10 + 9*d**4/8 + 20*d**2 - 3*d. Factor v(u).
3*u*(u + 3)**2
Let c(s) be the third derivative of 1/84*s**4 + 0*s - 1/210*s**5 + 1/21*s**3 + 0 - 1/420*s**6 - 8*s**2. Factor c(a).
-2*(a - 1)*(a + 1)**2/7
What is n in -79*n**5 + 42*n**3 + 34*n**3 + 224*n**2 + 64*n - 117*n**5 - 8*n**3 - 224*n**4 + 64*n**3 = 0?
-1, -4/7, 0, 1
Suppose 12 = -3*l, 0 = -4*n + n - l + 2. Suppose -6 = -n*g - 2. Factor -1 + g + 3*f**2 - 1 - f**3 - 2*f.
-f*(f - 2)*(f - 1)
Let q be -11 + ((-504)/(-40) - (-14)/10). Factor 0*g**4 + 0*g**2 + 0 + 2/15*g**q + 0*g - 2/15*g**5.
-2*g**3*(g - 1)*(g + 1)/15
Let i(u) be the third derivative of -u**6/20 + u**5/60 + 7*u**4/24 + 26*u**2. Factor i(l).
-l*(l + 1)*(6*l - 7)
Suppose -4*c + 36 = 2*c. What is h in 20*h**2 + 4*h**4 + 2*h**4 - 7*h**4 - 20*h**3 + c*h**4 = 0?
0, 2
Let h(y) be the second derivative of 5*y**7/84 + y**6/3 - y**5 - 20*y**4/3 + 20*y**3/3 + 80*y**2 + 36*y + 2. Determin