t derivative of -5*l**6/69 + 36*l**5/115 + 33*l**4/46 + 20*l**3/69 - 332. Determine f, given that w(f) = 0.
-1, -2/5, 0, 5
Let s(u) be the first derivative of u**6/6 + 13*u**5/5 - 3*u**4/4 - 41*u**3/3 - 13*u**2 + 69. Factor s(j).
j*(j - 2)*(j + 1)**2*(j + 13)
Suppose 4*g + 106*r - 107*r - 10 = 0, 3*r = 6. Determine f, given that 2/5*f**5 + 4*f**2 + 2*f + 2/5 + 2*f**4 + 4*f**g = 0.
-1
Factor -110/7*u**2 - 3*u**3 + 0 - 25/7*u.
-u*(u + 5)*(21*u + 5)/7
Let k(r) = -4*r**2 + 107*r - 2701. Let i be (17/51)/(3/27). Let m(h) = -7*h**2 + 213*h - 5403. Let d(x) = i*m(x) - 5*k(x). Factor d(z).
-(z - 52)**2
Let u(s) be the third derivative of s**7/42 + 5*s**6/24 - 8*s**5/3 + 15*s**4/2 + 45*s**2 - 8. Suppose u(p) = 0. Calculate p.
-9, 0, 2
Suppose -2*u + 12 = -5*o, -61 = 359*o - 362*o - 5*u. Let 15/2*i**4 - 57*i + 171/2*i**o - 48*i**3 + 12 = 0. What is i?
2/5, 1, 4
Let u(h) = -39*h**3 + 252*h**2 - 933*h + 672. Let k(t) = -42*t**3 + 253*t**2 - 934*t + 671. Let s(d) = -12*k(d) + 13*u(d). Factor s(n).
-3*(n - 76)*(n - 3)*(n - 1)
Let i(b) be the third derivative of b**5/210 + 59*b**4/42 - 17*b**3/3 - 4*b**2 - 221. Factor i(j).
2*(j - 1)*(j + 119)/7
Let o(p) = 2*p**2 - 939*p - 830. Let q(b) = 6*b**2 - 2782*b - 2492. Let y(a) = -8*o(a) + 3*q(a). Factor y(f).
2*(f - 418)*(f + 1)
Let q(r) be the first derivative of -r**5/40 - 301*r**4/16 - 29999*r**3/8 + 45451*r**2/4 - 22801*r/2 + 50. Let q(f) = 0. Calculate f.
-302, 1
Let m(u) be the second derivative of u**4/102 + 94*u**3/17 - 1144*u**2/17 - u - 1408. Factor m(r).
2*(r - 4)*(r + 286)/17
Suppose -8/15*b**2 - 8/5*b + 38/15*b**3 - 2/5*b**4 + 0 = 0. Calculate b.
-2/3, 0, 1, 6
Let y(p) = 7*p - 77. Let z be y(0). Let m = 157/2 + z. Find c such that -m*c - 1 - 1/2*c**2 = 0.
-2, -1
Factor 0*q**3 + 0 - 1130/9*q**4 - 2/9*q**5 + 0*q**2 + 0*q.
-2*q**4*(q + 565)/9
Let f(a) = -2*a**4 - 14*a**3 + 5*a**2 + 5. Let u(k) = -k + k + 6*k**2 - 5218 - 14*k**3 + 5224 - 2*k**4. Let x(z) = -6*f(z) + 5*u(z). Factor x(s).
2*s**3*(s + 7)
Factor -8/9*d**2 + 206/9*d + 148/3.
-2*(d + 2)*(4*d - 111)/9
Let w be 168/112 - (-2)/(12/747). Determine j, given that 23446 - 2*j**4 - 26*j**3 - 102*j**2 - w*j - 23446 = 0.
-7, -3, 0
Let c(o) be the second derivative of o**4/4 + 381*o**3/2 - 1728*o**2 - 26*o + 52. Suppose c(r) = 0. Calculate r.
-384, 3
Let j(i) = -i**2 - i. Let u = -99 - -90. Let n(h) = -4*h**2 - 4*h - 1. Let l(x) = u*j(x) + 2*n(x). Find m such that l(m) = 0.
-2, 1
Let g = 185714 + -185120. Factor 81*u + 408*u**4 + 96*u**5 + g*u**3 + 0 + 729/2*u**2.
3*u*(u + 2)*(4*u + 3)**3/2
Suppose 24*m = 25*m - 2*i - 330, 0 = 5*i. Determine p, given that 312*p + 1737*p**2 - 27*p**3 + 195 - 211*p + m*p + 736*p = 0.
-1/3, 65
Suppose 0 = 40*l - 303 + 103. Let n(h) be the second derivative of 9*h + 1/10*h**3 - 3/100*h**l + 0 + 0*h**4 + 0*h**2. Solve n(p) = 0.
-1, 0, 1
Factor -3*g**2 + 0 - 1/4*g**4 + 5/2*g**3 - 18*g.
-g*(g - 6)**2*(g + 2)/4
Let z(i) = i**2 + 308*i - 58080. Let x be z(132). Suppose -8/3*k - 2/3*k**2 + 1/3*k**3 + x = 0. Calculate k.
-2, 0, 4
Let z = -2458619/540 + 4553. Let p(v) be the third derivative of 2/9*v**4 + 0 + 0*v - 23*v**2 + z*v**6 + 11/270*v**5 - 4/3*v**3. Let p(y) = 0. Calculate y.
-6, 1
Let j(z) be the second derivative of z**6/72 + 5*z**5/24 + 5*z**4/4 + 15*z**3/2 - 28*z. Let s(w) be the second derivative of j(w). Solve s(p) = 0 for p.
-3, -2
Let l = 164 - 162. Factor 38*q + 3*q**l + 21 - 31*q - 31*q.
3*(q - 7)*(q - 1)
Let d = 64 + -31. Let s(x) = -x**2 - 14*x. Let y(j) = -6*j**2 - 70*j. Let a(v) = d*s(v) - 6*y(v). Determine i, given that a(i) = 0.
0, 14
Let b be ((-15)/(-25) + 52/30)*984/1148. Find i such that -101/2*i**b + 18*i + 33*i**3 + 63/2*i**4 - 2 = 0.
-2, 2/7, 1/3
Let k(i) = -5*i**3 - 173*i**2 - 328*i - 58. Let y(z) = -5*z**3 - 172*z**2 - 327*z - 92. Let f(q) = -2*k(q) + 3*y(q). Factor f(g).
-5*(g + 1)**2*(g + 32)
Let a = 2734 - 1183821/433. Let d = a + 430/1299. Let -1/3*i + d*i**2 - 2 = 0. What is i?
-2, 3
Let h(q) = -4*q**3 + 3*q**2 - q - 1. Let v(y) = -3*y**4 + 151*y**3 - 138*y**2 - 116*y + 127. Let m(o) = -7*h(o) - v(o). Factor m(s).
3*(s - 40)*(s - 1)**2*(s + 1)
Let g = -2507 + 2367. Let j be ((-63)/g)/((-4)/64*-1). Factor -16/5*k**5 - 4/5*k + 72/5*k**4 - 97/5*k**3 + 0 + j*k**2.
-k*(k - 2)**2*(4*k - 1)**2/5
Suppose -x + 6*x + 2*r = 13, x = 4*r + 7. Factor -80*w**2 - 83*w**2 + 10*w**x - 2*w**4 + 22*w**3 + 35*w**2.
-2*w**2*(w - 8)**2
Factor -1930/3*k**2 + 5/6*k**5 - 985/6*k**4 + 0 + 1940/3*k**3 + 0*k.
5*k**2*(k - 193)*(k - 2)**2/6
Suppose -438 = 5*u + 4*o, 159 = -2*u + 2*o - 27. Let k = 95 + u. Find a, given that k*a**5 + 80*a**2 + 646 - 646 + 40*a**3 - 35*a**4 = 0.
-1, 0, 4
Let l(p) be the first derivative of -2*p**3/3 + p**2/2 - p - 182. Let d(j) = 16*j**2 - 46*j + 154. Let r(y) = d(y) + 10*l(y). Factor r(q).
-4*(q - 3)*(q + 12)
Let k(m) = -14*m**2 - m. Let h be k(1). Let u be h/(-6) + 5/10. Factor -6/7*t**2 + 0 - 3/7*t**u - 3/7*t.
-3*t*(t + 1)**2/7
Let k be (-12359)/(-14280) - -9*(-6)/63. Let g(l) be the third derivative of -k*l**6 - 1/60*l**5 + 2/3*l**3 + 0*l + 15*l**2 + 0 + 1/6*l**4. Factor g(o).
-(o - 2)*(o + 1)*(o + 2)
Let w(g) be the second derivative of -7*g**7/6 - 7*g**6/3 + 9*g**5/8 - 5*g**4/24 + 47*g**3/6 - 28*g. Let h(l) be the second derivative of w(l). Factor h(y).
-5*(y + 1)*(14*y - 1)**2
Let p(b) be the third derivative of -11*b**7/945 + 8*b**6/135 - 19*b**5/270 - b**4/54 + 53*b**2 - 8. Suppose p(x) = 0. Calculate x.
-1/11, 0, 1, 2
Suppose 3*z - 2 = -t, -14*z - t = -7*z - 10. Let k be (-2)/(-4) - 3/6. Factor 16/7*m**3 + 12/7*m**4 - 4/7*m**z - 8/7*m + k.
4*m*(m + 1)**2*(3*m - 2)/7
Factor 0*j**2 + 0*j**4 + 4/3*j**3 - 4/3*j**5 + 0 + 0*j.
-4*j**3*(j - 1)*(j + 1)/3
Let d be -1*(-27)/6*192/18. Factor -d*x + 4*x**4 - 10*x**3 - 32*x + 71*x**2 + 42*x**3 - 27*x**2.
4*x*(x - 1)*(x + 4)*(x + 5)
Let w(s) be the second derivative of -14*s**4/3 + 2*s**2 - s + 126. Let p(i) = -i**3 + i**2 - 1. Let y(q) = 4*p(q) + w(q). Let y(a) = 0. What is a?
-13, 0
Let x(s) be the first derivative of 1/20*s**4 - s**3 - 49/5*s - 52 + 63/10*s**2. Factor x(r).
(r - 7)**2*(r - 1)/5
Let n = -2/13281 - -97396/13281. Factor -12*r + 0 + n*r**2 - 2/3*r**3.
-2*r*(r - 9)*(r - 2)/3
Suppose 0 = -9*x + 29 - 2. Suppose -3*r + 2*k + 4 = 0, -k - x = -3*r + r. Find v such that 2*v + v**4 - 4*v + 3*v**3 - 2*v**4 - v**5 + v**r = 0.
-2, -1, 0, 1
Let j(z) = 5*z**4 + 12*z**3 - 3*z**2 - 22*z - 20. Let s(b) = 4*b**4 + 10*b**3 - 5*b**2 - 24*b - 15. Let c(t) = -3*j(t) + 4*s(t). Factor c(n).
n*(n - 3)*(n + 2)*(n + 5)
Let a(u) = 6*u + 19. Let q be a(-2). Find t, given that 7 + 4*t - q - 10 + t**2 + 5 = 0.
-5, 1
Let a be (-26250)/(-112)*(1 + 202/(-198)). Let y = a + 107/12. Let 12/11*u**2 - y*u**3 + 14/11*u**4 + 0*u + 0 = 0. Calculate u.
0, 2/7, 3
Let r(u) be the second derivative of 0*u**4 + 0 - 5/2*u**2 + 1/2*u**3 - 43*u - 1/20*u**5. Let o(j) be the first derivative of r(j). Solve o(a) = 0.
-1, 1
Let l(g) be the second derivative of g**5/70 + 22*g**4/21 + 640*g**3/21 + 3072*g**2/7 + 2655*g + 2. Factor l(u).
2*(u + 12)*(u + 16)**2/7
Suppose d + 5*f - 3 = 1, -d - 3*f = -4. Find t, given that -d*t**3 - 4*t**3 + 48 + 28*t**2 + 28*t**2 - 100*t + 4*t**3 = 0.
1, 12
Let y(g) be the first derivative of 1/6*g**3 - 1/4*g**2 + 0*g - 113. Suppose y(q) = 0. What is q?
0, 1
Let a = -995 - -1165. Let l = a + -166. Factor 64/9*h - 32/9 - 2/9*h**l - 16/3*h**2 + 16/9*h**3.
-2*(h - 2)**4/9
Find m such that m**4 + 219/2*m**2 + 173/2*m + 91/2*m**3 + 43/2 = 0.
-43, -1, -1/2
Suppose 18 = 10*p - 32. Solve 2*q - 4 + 5*q**4 - q**2 - 2*q - q**p + 8*q - 2*q**3 - 5*q**3 = 0 for q.
-1, 1, 2
Let t(j) be the first derivative of -j**8/336 - 5*j**7/168 - j**6/9 - j**5/6 + 32*j**3/3 - 3*j**2/2 - 14. Let u(l) be the third derivative of t(l). Factor u(n).
-5*n*(n + 1)*(n + 2)**2
Let o(l) be the third derivative of -l**6/1440 + 7*l**5/240 + 67*l**3/6 - 53*l**2. Let a(q) be the first derivative of o(q). Find c, given that a(c) = 0.
0, 14
Let y(r) be the third derivative of 121*r**8/672 - 33*r**7/70 + 37*r**6/240 + 3*r**5/10 + r**4/12 + 41*r**2 - r. Factor y(a).
a*(a - 1)**2*(11*a + 2)**2/2
Let q = -2238587/11 - -203601. Factor -512/11 - 34/11*o**4 + q*o - 64*o**2 + 2/11*o**5 + 224/11*o**3.
2*(o - 4)**4*(o - 1)/11
Let p(c) be the second derivative of c**5/300 + c**4/60 - c**3/2 + 39*c**2 - 56*