 given that t(g) = 0.
2, 4
Let u(b) be the third derivative of -b**6/360 - 79*b**5/90 - 157*b**4/72 + 133*b**2. What is k in u(k) = 0?
-157, -1, 0
Suppose -2*g + 6 = 2*g - 2. Let r(c) be the third derivative of -6*c**g - 1/48*c**4 - 1/24*c**3 + 0 + 0*c - 1/240*c**5. Suppose r(j) = 0. Calculate j.
-1
Let o be (3 + 1 + -2 - -1)/1. Factor -3*h**4 + 2*h**4 - 267*h - 5*h**2 + 4*h**o + 269*h.
-h*(h - 2)*(h - 1)**2
Let a = -2 + 35. Suppose -f - a = -36. Find n, given that -11*n**f + 8*n**3 + 5*n**3 - 4*n**4 = 0.
0, 1/2
Let f be ((-11)/((-165)/18))/(6 + 570/(-100)). Let m(i) be the third derivative of 0*i**f + 0 + 0*i**3 + 0*i - 1/48*i**6 - 1/24*i**5 + 18*i**2. Factor m(b).
-5*b**2*(b + 1)/2
Let i = -204081386/77 - -2650455. Let g = i - 471/11. Find y such that -g*y - 24/7 + 6/7*y**2 = 0.
-2/3, 6
Let n(g) be the second derivative of -3/10*g**4 + 1/50*g**6 - 2/5*g**3 + 3*g - 20 + 12/5*g**2 + 3/100*g**5. Find a such that n(a) = 0.
-2, 1, 2
Let y(h) be the first derivative of h**3/6 - 10*h**2 - 42*h - 8301. Factor y(z).
(z - 42)*(z + 2)/2
Let b(d) be the second derivative of -7*d**6/20 + 111*d**5/40 - 3*d**4/8 - 37*d**3/4 + 15*d**2/2 - 159*d + 1. Find x such that b(x) = 0.
-1, 2/7, 1, 5
Suppose -82829 - 95*g + 82829 + 5*g**2 + 30*g = 0. Calculate g.
0, 13
Let g(y) be the first derivative of 0*y - 6 + 3*y**2 + 2/9*y**3. Factor g(n).
2*n*(n + 9)/3
Let n = -22 - -25. Let w be (31/(-2))/((-2)/4). Find l such that 4*l**n + w*l + l**3 - 18*l - 18*l = 0.
-1, 0, 1
Let g(k) be the third derivative of 74*k**2 + 0*k + 14/15*k**5 - 4/3*k**4 - 7/30*k**6 + 2/105*k**7 + 0 + 0*k**3. Factor g(j).
4*j*(j - 4)*(j - 2)*(j - 1)
Let x(m) be the third derivative of -m**6/120 - 49*m**5/15 - 3135*m**4/8 + 3267*m**3 + 223*m**2 - 3. Factor x(s).
-(s - 2)*(s + 99)**2
Let b be ((-815360)/546)/(-224)*(8/5 + -1). Find j, given that -3/2*j**5 - 12*j + 39/2*j**2 - 18 - 3/2*j**b + 27/2*j**3 = 0.
-2, -1, 1, 3
Let c = -56124707/37424520 - -116/133659. Let k = 1/840 - c. Determine u, given that k*u - 1/2*u**3 + 0*u**2 + 1 = 0.
-1, 2
Suppose 0 = 131*o + 157*o - 864. Solve 0 + 3/5*l - 4/5*l**2 + 1/5*l**o = 0 for l.
0, 1, 3
Let t(p) = 2*p**2 + 23*p + 59. Let h be t(-8). Suppose -5*u = h*u. Solve u*m - 2/9*m**2 + 0 = 0 for m.
0
Let s(n) be the third derivative of 1/2*n**4 + 22*n**2 + 0*n**3 + 0*n + 1/80*n**5 + 0. Solve s(o) = 0 for o.
-16, 0
Let q(o) = -10*o**2 + 1135*o - 66105. Let n(w) = w**2 + 3*w - 4. Let i(j) = 5*n(j) + q(j). What is f in i(f) = 0?
115
Let d = 12143 - 12123. Let f(x) be the second derivative of -1/20*x**5 + 4/21*x**4 + 17/42*x**3 - 3/7*x**2 + 0 + d*x. Factor f(m).
-(m - 3)*(m + 1)*(7*m - 2)/7
Find a, given that 3/7*a**3 + 0*a + 0 - 645/7*a**2 = 0.
0, 215
Let f(i) = -5*i**3 + 1008*i**2 - 1003*i + 4. Let g(k) = -160*k**3 + 32255*k**2 - 32095*k + 130. Let w(l) = -65*f(l) + 2*g(l). Factor w(u).
5*u*(u - 201)*(u - 1)
Let c = 8356979/5 + -1671395. Factor c*t**2 - 28/5*t - 32/5.
4*(t - 8)*(t + 1)/5
Let v(r) be the second derivative of -313*r - 1/35*r**6 + 1/10*r**5 + 2/7*r**2 - 1/3*r**3 + 0 + 1/42*r**4. Let v(g) = 0. What is g?
-1, 1/3, 1, 2
Let s = 14262 + -14248. Let i(j) be the first derivative of -16*j**2 - s + 2/3*j**3 + 128*j. Suppose i(c) = 0. Calculate c.
8
Determine b, given that -8*b**2 + 280*b - 192*b + 3*b**2 + 90 + 3*b**2 = 0.
-1, 45
Let l(o) = -8*o**2 + 255*o - 800. Let y(p) = 4*p**2 - 118*p + 400. Let c(u) = -2*l(u) - 5*y(u). Let c(n) = 0. Calculate n.
10
Factor -1/7*q**2 - 92416/7 + 608/7*q.
-(q - 304)**2/7
Let u(i) be the first derivative of i**6/39 + 11*i**5/130 + 7*i**4/78 + i**3/39 + 59*i - 195. Let t(v) be the first derivative of u(v). What is b in t(b) = 0?
-1, -1/5, 0
Solve 50/9*c**2 + 50/9*c**3 - 4/3*c**4 + 0 + 0*c = 0 for c.
-5/6, 0, 5
Let h(x) = x**2 + 8*x - 7. Suppose 781*g - 45 = 786*g. Let p be h(g). Suppose -2/3*t**5 - 12*t**3 - p - 26/3*t - 44/3*t**2 - 14/3*t**4 = 0. What is t?
-3, -1
Let w(c) be the third derivative of -10/9*c**3 + 0*c + 1/90*c**5 + 28*c**2 + 1/12*c**4 + 0. Factor w(z).
2*(z - 2)*(z + 5)/3
Let z = 320 - 282. Factor -14*a**5 + z*a**4 - 6*a**3 - 5*a**5 + 8*a**5 - 3*a**4.
-a**3*(a - 3)*(11*a - 2)
Factor 43144 + 24096 + 3116*j - 624*j**2 - 2204430*j**3 + 2204394*j**3.
-4*(j - 10)*(3*j + 41)**2
Let m(p) be the first derivative of 2*p**3/51 - 860*p**2/17 + 369800*p/17 + 854. Find g such that m(g) = 0.
430
Let z(s) = 4*s**2 + 74*s + 136. Let l be z(-2). Factor 48/11*d**3 - 2*d**l - 30/11*d**2 + 0 + 4/11*d.
-2*d*(d - 1)**2*(11*d - 2)/11
Factor h**3 - 2*h**5 + 1332*h - 1332*h + 4*h**2 - 2*h**3 + 7*h**3.
-2*h**2*(h - 2)*(h + 1)**2
Let n(h) be the second derivative of -9 + 9*h**2 - 7*h - 10*h**3 + 11/8*h**4 + 9/40*h**5. Solve n(w) = 0 for w.
-6, 1/3, 2
Find y such that -941821904/5 + 3631704/5*y - 4668/5*y**2 + 2/5*y**3 = 0.
778
Let l = 101/3224 - -15817/9672. Solve 5/3*o**4 - 5/3*o**3 - l*o**2 + 0 + 5/3*o = 0 for o.
-1, 0, 1
Suppose 0 = 4*g + k - 11, -5*g + 29*k - 25*k + 40 = 0. Suppose x + 6 = g*a, 9 - 21 = -a - 5*x. Factor 25/4 + 1/4*p**a + 5/2*p.
(p + 5)**2/4
Let k(v) = 374*v**2 + 680*v - 6. Let a(c) = 425*c**2 + 679*c - 6. Let d(x) = -6*a(x) + 5*k(x). Suppose d(q) = 0. What is q?
-1, 3/340
Let v be ((-1)/5)/((-60)/(-8) + -1 + -7). Factor -v*m**3 + 2/5*m + 8/5 - 8/5*m**2.
-2*(m - 1)*(m + 1)*(m + 4)/5
Suppose 4*g = 5*s - 113, -3*s + 72 = -4*g + 1. Suppose -2*o = -5*n + 10*n, 3*o = 3*n - s. Let 45/2*y - 5/2*y**3 - 25/2 - 15/2*y**n = 0. Calculate y.
-5, 1
Factor -4/9*v**2 + 64 - 128/9*v.
-4*(v - 4)*(v + 36)/9
Suppose 14*v + 36 = 5*c + 18*v, -9 = -v. Suppose -5*b = -4*b - q - 5, -3*b + 2*q + 12 = 0. Find p, given that -3/2*p - 3*p**b - 3/2*p**3 + c = 0.
-1, 0
Factor 0 + 0*i - 13/2*i**3 - 1/2*i**4 - 20*i**2.
-i**2*(i + 5)*(i + 8)/2
Suppose -9 - 46 = -4*l - 3*u, -5*u - 25 = -5*l. Let r(b) be the first derivative of -11*b + 5 + 5*b - l*b + b**4 + 10 + 4*b**3. Find p such that r(p) = 0.
-2, 1
Let m(d) be the first derivative of 2*d**5/35 + 59*d**4/14 + 422*d**3/7 + 223*d**2 - 644*d + 1418. Suppose m(z) = 0. What is z?
-46, -7, 1
Let i(l) be the first derivative of -l**6/3 - 2*l**5 + 15*l**4 - 100*l**3/3 + 35*l**2 - 18*l + 5422. Factor i(o).
-2*(o - 1)**4*(o + 9)
Let r = 243388666029/4382 - 55542826. Let z = r - -1/626. Factor -16/7*n + z*n**2 - 20/7.
4*(n - 5)*(n + 1)/7
Let g(d) be the second derivative of -85*d - 9*d**2 - 2 + 10/3*d**3 - 1/6*d**4. Factor g(j).
-2*(j - 9)*(j - 1)
Let m(o) be the second derivative of -o**6/72 + 20*o**5/3 - 4000*o**4/3 + 3*o**3/2 - o**2 + o - 66. Let d(v) be the second derivative of m(v). Factor d(u).
-5*(u - 80)**2
Factor -6225*o - 3*o**3 - 6292*o + 12553*o + 108 - 15*o**2.
-3*(o - 3)*(o + 2)*(o + 6)
Let q(p) = -3*p**3 - 282*p**2 - 2454*p - 6468. Let u(o) = -2*o**3 - 211*o**2 - 1841*o - 4851. Let x(h) = -7*q(h) + 9*u(h). Let x(y) = 0. Calculate y.
-11, -7
Let t(s) = s**2 + 5*s + 7. Let d be t(-4). Solve 180*q + 72*q**2 + 88*q**2 - 18*q**3 - d*q**4 - 300 - 127*q**2 = 0.
-5, 2
Let l be 38/8*((-1 - 19) + 50 + -28). Factor -7/2*g**4 - l*g**3 + 1 - 15/2*g**2 - 1/2*g.
-(g + 1)**3*(7*g - 2)/2
Let t(p) = 41*p**3 - 3141*p**2 + 1647459*p - 287755651. Let m(d) = -151*d**3 + 12565*d**2 - 6589835*d + 1151022603. Let j(v) = -3*m(v) - 11*t(v). Factor j(u).
2*(u - 524)**3
Let d = 16 + -9. Suppose d*h - 17 = 11. Determine s so that 48*s**h + 7*s**3 + s**3 + 8*s**3 + 20*s**5 = 0.
-2, -2/5, 0
Let b be 322/49 + -6 + (-353)/(-7). Solve -5*h**5 - b*h**2 - 15*h**4 + 30*h + 75*h**3 - 81*h**2 + 47*h**2 = 0 for h.
-6, 0, 1
Let m(v) = v**2 + 2. Let x(l) = 15*l**2 + 6*l + 24. Let s(r) = r**2 + 3. Let d(t) = 12*s(t) - x(t). Let n(h) = d(h) + 2*m(h). Factor n(c).
-(c - 2)*(c + 8)
Let t(z) be the first derivative of 4*z**5/5 + 8*z**4 - 12*z**3 - 216*z**2 + 432*z + 321. Let t(w) = 0. What is w?
-6, 1, 3
Suppose -222 = -2*i - 208, 2*i - 23 = -3*z. Factor 11/5*j**4 - 9/5*j**z + 0 + 1/5*j**2 + 1/5*j - 4/5*j**5.
-j*(j - 1)**3*(4*j + 1)/5
Solve -3*u**2 - 88*u - 171 - 23*u + 2*u**2 - 63 + 4*u**2 = 0 for u.
-2, 39
Let z = 2193023/5 - 437162. Let v = z - 1433. Factor -v*r - 4/5*r**2 - 144/5.
-4*(r + 6)**2/5
Let u(c) = -c**2 + 21*c + 24. Let y be u(22). Let t be 1/(y + 9/(-6)). Let -2*d**5 + t*d**3 + 4*d**4 - 4*d**2 + 4*d**2 - 4*d**2 = 0. Calculate d.
-1, 0, 1, 2
Let h(f) be the third derivative of f**8/3528 - 37*f**7/441 - 187*f**6/630 - f**5/315 +