9*x**2 - 69*x**2. Let u(s) = -s**3. Let t be u(-1). Let k(p) = t*a(p) + 4*r(p). Factor k(f).
-f*(f + 4)
Let z = -41 - -47. Let d be ((59 + -5)/9)/(3*1). Factor z*r**4 + 0*r - 10*r**d - 2*r + 2*r**3 + 0 + 4 + 0.
2*(r - 1)*(r + 1)**2*(3*r - 2)
Let t = 90569 + -90567. Factor 50/3*x**t + 2/3*x**4 + 0 + 20/3*x**3 + 0*x.
2*x**2*(x + 5)**2/3
Let g be -850*((-236)/295 + 3/10). Let n = -8065/19 + g. Factor 22/19*w + 14/19*w**2 + n + 2/19*w**3.
2*(w + 1)**2*(w + 5)/19
Let i(z) be the third derivative of -z**8/1344 + z**7/21 - 23*z**6/144 + z**4/12 - 22*z**3/3 - 37*z**2. Let s(w) be the second derivative of i(w). Factor s(b).
-5*b*(b - 23)*(b - 1)
Factor -10/7*d - 408/7 + 2/7*d**2.
2*(d - 17)*(d + 12)/7
Determine b so that -252*b**4 - 81*b + 75*b**2 + 507*b**4 + 81*b**3 - 58 - 252*b**4 - 20 = 0.
-26, -1, 1
Let b = 949 - 947. Let o(v) be the second derivative of -11/2*v**3 - 10*v + 3/4*v**4 - 6*v**b + 0. Determine f so that o(f) = 0.
-1/3, 4
Let j(k) = -2*k**3 + k**2 - 4*k + 1. Let z(n) = -39*n**3 + 3543*n**2 - 4968*n + 1416. Let h(g) = 12*j(g) - z(g). Find t such that h(t) = 0.
2/5, 1, 234
Let o be -1 + (-207)/(-21) + (-8)/(-56). Find b, given that -91*b + 4*b**3 + 2*b**2 - 52 - 46*b**2 - o*b = 0.
-1, 13
Factor -665*n**4 - 719 + 56*n**5 - 2093*n**2 + 1890*n**3 + 205*n**4 - 767*n**2 + 239 + 1915*n - 61*n**5.
-5*(n - 1)**4*(n + 96)
Let q(i) = 2*i**2 - 7*i + 7. Let r be q(1). Factor 8*z + 30 + 11*z + 19*z + 3 + 2*z**r + 35.
2*(z + 2)*(z + 17)
Let q be (630/(-24))/7 + ((-40)/8 - -9). Factor -q*i**2 + 11/4*i - 5/2.
-(i - 10)*(i - 1)/4
Let c(l) be the third derivative of -1/35*l**7 + 0*l**3 - 3*l + 1/2*l**4 + 0 + 3/40*l**6 + 2/5*l**5 - 1/112*l**8 + 10*l**2. Determine p, given that c(p) = 0.
-2, -1, 0, 2
Suppose -5*v + 1153 = -5*x + 1123, x + 6 = 0. Let g(b) be the third derivative of 7/18*b**4 + 1/90*b**5 - 20*b**2 + 49/9*b**3 + 0 + v*b. Factor g(d).
2*(d + 7)**2/3
Let q(h) be the third derivative of h**8/216 + 26*h**7/945 - 29*h**6/540 - 4*h**5/9 + h**4/3 + 2*h**2 + 1377*h. Suppose q(x) = 0. Calculate x.
-3, 0, 2/7, 2
Let z = -4611 + 4616. Let g(a) be the third derivative of 0*a**4 + 0 + 0*a**3 + 20*a**2 - 1/300*a**z + 0*a - 1/350*a**7 + 1/200*a**6 + 1/1680*a**8. Factor g(s).
s**2*(s - 1)**3/5
Let g be (-36)/3 - -6 - -7. Let n be 110/44*g/5. Suppose -1/3*z - n*z**4 - 1/12*z**5 + 0 - z**2 - 13/12*z**3 = 0. Calculate z.
-2, -1, 0
Let a = -407 - -609. Suppose -18*k**3 + 1000 + 98*k + 36*k**3 + a*k + 30*k**2 - 17*k**3 = 0. What is k?
-10
Let a(u) = u**3 - 5*u**2 - 6*u + 4. Let t be a(7). Factor 4*s**4 + 148*s**2 - 8588*s + 44*s**2 + 8844*s - t*s**3.
4*s*(s - 8)**2*(s + 1)
Let k(t) = -7*t**2 - 50*t + 159. Let o(q) = 3*q**2 + 3. Let m(b) = 2*k(b) + 6*o(b). Determine a so that m(a) = 0.
4, 21
Suppose 0 = -8*j - 118*j. Factor j + 4/5*q**2 + 0*q.
4*q**2/5
Let q = -12620 + 12620. Let r(c) be the second derivative of 37*c + 0*c**2 + 0*c**4 + 1/21*c**7 + q + 0*c**6 + 1/3*c**3 - 1/5*c**5. Factor r(m).
2*m*(m - 1)**2*(m + 1)**2
Let g(r) be the first derivative of 3*r**5/5 - 21*r**4/4 + 12*r**3 - 2326. Factor g(h).
3*h**2*(h - 4)*(h - 3)
Suppose 2*w = -4*w + 42. Suppose -2*q = 3*m - w*m - 46, -4*q + 44 = 4*m. Factor -16*t**2 + 23 - 6 + 2*t**4 + q + 0*t**4.
2*(t - 2)**2*(t + 2)**2
Let j(z) be the second derivative of -2/3*z**6 + 0 - 3/2*z**5 - 82*z - 5/42*z**7 + 0*z**2 - 5/3*z**4 - 5/6*z**3. Determine x, given that j(x) = 0.
-1, 0
Let n(l) be the second derivative of l**7/14 - 11*l**6/5 + 141*l**5/10 - 40*l**4 + 121*l**3/2 - 51*l**2 + 340*l + 11. Factor n(v).
3*(v - 17)*(v - 2)*(v - 1)**3
Let m(g) be the third derivative of 1/2*g**4 - 2*g**3 + 0*g - 1/40*g**6 + 4 + 1/20*g**5 - 6*g**2. Factor m(y).
-3*(y - 2)*(y - 1)*(y + 2)
Let a(o) = o**3 + 12*o**2 - 513*o + 813. Let z be a(-30). Find g, given that 0 + 2/7*g**z - 8/7*g + 6/7*g**2 = 0.
-4, 0, 1
Let z be 3*(-70)/(-15) - -2. Factor z*n - 6*n - 4811*n**2 + 4812*n**2.
n*(n + 10)
Let o(a) = a**2 - 312*a + 356. Let c(z) = -z**2 + 311*z - 346. Let j(g) = 5*c(g) + 4*o(g). Find l such that j(l) = 0.
1, 306
Let n(d) be the third derivative of -1/480*d**6 - 46*d**2 + 1/16*d**4 + 0 + 7/160*d**5 - 11/48*d**3 + d. Factor n(x).
-(x - 11)*(x + 1)*(2*x - 1)/8
Determine a, given that -102*a**2 + 0*a**2 + 20*a**3 - 8*a**3 - 9*a**3 + 0*a**3 = 0.
0, 34
Suppose -3612 = 45*o + 6738. Let n be (-1012)/o - (12/(-10))/2. Factor -1 + 5/2*h**5 + 6*h**4 - 9/2*h + 2*h**3 - n*h**2.
(h - 1)*(h + 1)**3*(5*h + 2)/2
Suppose 5*n + 19 = 5*f + 474, -5*n - 5*f = -505. Suppose 5*l - 60 = 3*u, 4*u = -4*l - 16 + n. Suppose 33*i + 10*i**3 - 33*i + l*i**2 - 5*i**4 = 0. What is i?
-1, 0, 3
Let q(v) be the second derivative of 5/27*v**3 + 0*v**2 + 0 - 122*v - 1/90*v**5 - 2/27*v**4. Determine g so that q(g) = 0.
-5, 0, 1
Factor -26*s - 47 - 15 + 330*s - 113*s**2 - 7*s**3 - 116*s**2 - 6.
-(s - 1)*(s + 34)*(7*s - 2)
Let b(x) be the third derivative of -x**5/24 + 775*x**4/24 - 120125*x**3/12 - 17*x**2 - 12. Factor b(z).
-5*(z - 155)**2/2
Let u(f) be the first derivative of 56/15*f**5 + 0*f**2 - 17/3*f**4 + 8/3*f**3 + 1 + 0*f - 2/3*f**6. Determine i so that u(i) = 0.
0, 2/3, 1, 3
Let x be 2/4 - 4/((-2408)/(-273)). Let p = x + 35/172. Suppose -p*j**2 + 1 + 0*j = 0. What is j?
-2, 2
Let o = 22649/8493 + -1/8493. Let b(v) be the first derivative of 42 + 0*v + 1/4*v**4 + 8*v**2 - o*v**3. Let b(d) = 0. Calculate d.
0, 4
Factor 69/7*h - 99 + 45/7*h**2 + 3/7*h**3.
3*(h - 3)*(h + 7)*(h + 11)/7
Suppose -7*d + 9*d - 692 = 5*r, -3*r - 5*d = 409. Let k = -275/2 - r. Factor 0 + 0*o**3 - 3/2*o**2 + o + k*o**4.
o*(o - 1)**2*(o + 2)/2
Let y(a) be the first derivative of -2*a**5/115 + 36*a**4/23 + 296*a**3/69 - 693. Factor y(f).
-2*f**2*(f - 74)*(f + 2)/23
Determine p so that -85282*p**2 + 164870*p**2 + 147252*p**2 - 2451*p**3 + 2130*p - 124433 - 102412 + 5*p**4 + 321*p**3 = 0.
-1, 1, 213
Let q(x) be the second derivative of -22*x + 3*x**2 + 1/32*x**4 - 4 + 5/8*x**3. Factor q(o).
3*(o + 2)*(o + 8)/8
Let w = -202513 - -202515. Factor 38/7 + 40/7*j + 2/7*j**w.
2*(j + 1)*(j + 19)/7
Let a(z) be the first derivative of z**5/5 + 19*z**4 + 626*z**3 + 8246*z**2 + 47089*z - 3244. Solve a(n) = 0 for n.
-31, -7
Suppose -7*v - 8*v = 15. Let o be 4*((-2)/4 - v). Factor 3*i**3 - 8*i - 7*i**2 + 0*i**2 - 4*i**3 + o*i**2 - 4.
-(i + 1)*(i + 2)**2
Let 179/11*i + 178/11 + 1/11*i**2 = 0. Calculate i.
-178, -1
Let o(l) = -8*l + 11. Suppose 3*r + 14 - 17 = 0. Let d be o(r). Determine c so that -3/7*c**d + 12/7*c - 3/7*c**4 + 0 + 12/7*c**2 = 0.
-2, -1, 0, 2
Let v(z) = 6*z + 36. Let x be v(15). Factor 12 + 311*l**2 - 81*l**4 + 119*l + x*l**3 - 27*l + 24*l.
-(l - 3)*(l + 1)*(9*l + 2)**2
Let k(v) = v**2 - 6*v - 5. Let y be k(7). Suppose 9*l = 4*l + 15. What is f in -3*f**y + 15 - l + 15 = 0?
-3, 3
Determine c so that 3/5*c**3 + 798/5 + 111*c + 84/5*c**2 = 0.
-19, -7, -2
Determine x so that 64*x + 0 - 46/9*x**4 - 236/9*x**3 + 128/3*x**2 - 2/9*x**5 = 0.
-12, -1, 0, 2
Let y(u) = 4*u**2 - 538*u - 539. Let c be y(-1). Find m, given that 7/5*m**2 - 1/5*m**4 - 2/5*m**c + 0 - 4/5*m = 0.
-4, 0, 1
Let s(n) be the second derivative of 0 + 1/60*n**4 + 71*n - 2/3*n**3 + 10*n**2. Factor s(p).
(p - 10)**2/5
Factor -32/5*d**2 - 4*d + 0.
-4*d*(8*d + 5)/5
Let x(l) be the third derivative of l**6/320 + l**5/16 - 13*l**4/64 - 11*l**3/8 - 984*l**2. Let x(r) = 0. Calculate r.
-11, -1, 2
Let f be 1240/40 + (11 - 29) + -1*8. Factor 7/3 + 3*c**2 + 1/3*c**3 + f*c.
(c + 1)**2*(c + 7)/3
Let d(k) be the third derivative of k**7/420 + 7*k**6/240 - 7*k**5/30 + 5*k**4/12 + 229*k**2 + 4*k. Let d(i) = 0. Calculate i.
-10, 0, 1, 2
Let h be (-68)/(-12) - 6 - (-3)/9. Let d(o) be the second derivative of h*o**5 + 1/80*o**6 + 25*o - 1/32*o**4 + 0 + 0*o**3 + 0*o**2. Factor d(k).
3*k**2*(k - 1)*(k + 1)/8
Let l be ((-9)/(-60))/((-813)/48 - (-731)/43). Suppose -3/5*n**4 + l*n - 9/5*n**2 + 12/5 - 12/5*n**3 = 0. Calculate n.
-2, -1, 1
Let n(o) = -140*o**2 - 227810*o - 454300. Let q(m) = -3*m**2 - 4847*m - 9666. Let z(v) = -2*n(v) + 95*q(v). Factor z(s).
-5*(s + 2)*(s + 967)
Let y = -3958 + 3963. Let i(l) be the second derivative of 4/3*l**2 - 1/6*l**4 + 0*l**3 - 29*l + 0 + 1/30*l**y. What is h in i(h) = 0?
-1, 2
Suppose -5*j + 5*u + 46 = -19, 16 = j - 2*u. Suppose -7*y + j = -4. Factor -15*b**3 + b**4 - 9 + 3*b**3 + 12*b + 6*b**y + 2*b**4.
3*(b - 3)*(b - 1)*