ctor z(f).
-2*f**2*(f - 3)/3
Let t(o) be the first derivative of 2*o**3/3 + 283*o**2 + 3864*o + 2230. Factor t(a).
2*(a + 7)*(a + 276)
Let t(m) be the first derivative of m**4/16 + 73*m**3/4 + 109*m**2/4 - 1370. Factor t(x).
x*(x + 1)*(x + 218)/4
Let l(b) be the second derivative of -b**5/10 - 41*b**4/6 + 112*b**3 + 12226*b. Factor l(h).
-2*h*(h - 7)*(h + 48)
Suppose -31*m + 14*m = 2142. Let i be ((-2)/6)/(70/m). Factor -6/5*h**3 + 6/5*h**2 + i + 9/5*h - 9/5*h**4 - 3/5*h**5.
-3*(h - 1)*(h + 1)**4/5
Factor -470*y + 403956*y**2 + y**3 + 4*y**3 - 404181*y**2.
5*y*(y - 47)*(y + 2)
Factor -209/2*p + 1/4*p**2 + 43681/4.
(p - 209)**2/4
Let d(k) be the first derivative of -1/4*k**3 + 7*k + 2 - 3/8*k**2 - 1/16*k**4. Let m(t) be the first derivative of d(t). Factor m(n).
-3*(n + 1)**2/4
Let x(k) be the second derivative of -2*k**7/21 + 4*k**6/5 + 37*k**5/5 + 34*k**4/3 - 24*k**3 - 80*k**2 + 2501*k. Let x(o) = 0. What is o?
-2, -1, 1, 10
Let k(l) = 46*l + 233. Let i be k(-5). Let x(h) be the second derivative of -1/9*h**2 - 2/27*h**4 - 12*h - 4/27*h**i + 0. Factor x(g).
-2*(2*g + 1)**2/9
Let g(d) be the third derivative of 0*d + 0*d**3 - 5*d**2 - 1/90*d**5 + 3 + 1/3*d**4. Factor g(p).
-2*p*(p - 12)/3
Let t(m) be the first derivative of 2*m**6/75 - 14*m**5/25 - 59*m**4/60 - m**3/2 - 215*m + 133. Let f(b) be the first derivative of t(b). Factor f(z).
z*(z - 15)*(2*z + 1)**2/5
Let n be -20 - ((-7)/(-42))/(10/(-1280)). Factor -n*g + 0 - 1/3*g**2 + 1/6*g**3.
g*(g - 4)*(g + 2)/6
Let p be ((-90)/48 + 2)*(-3209 + -1). Let o = p - -402. Factor 0 - 3/4*v**3 + 0*v - o*v**2.
-3*v**2*(v + 1)/4
Let r(a) = 5*a**2 - 70*a + 246. Let w(j) = 1. Let p be (4/5)/((-1)/(-5)). Suppose 7 = i - 2*b, 2*i + 0*b = -2*b - p. Let u(d) = i*r(d) - w(d). Factor u(c).
5*(c - 7)**2
Let r(v) = -v - 10. Let h be r(-13). Suppose -h*t + 2 = -10. Factor 4*i + 8*i**4 + 0*i**2 - 12*i**2 + 8*i**t.
4*i*(i + 1)*(2*i - 1)**2
Let i be (6 - 15) + 3/6 + (-17)/(-2). Let y(b) = b**3 + b**2 + 5. Let l be y(0). What is w in -1/3*w**l - 2/3*w**3 + 0*w**2 + i - w**4 + 0*w = 0?
-2, -1, 0
Let g be (5/(-55))/((-1)/(-12)*(-153 + 151)). Find y such that 23/11*y - 4/11*y**2 + g = 0.
-1/4, 6
Suppose -272/7*k - 100/7*k**3 + 3/7*k**4 + 60/7 + 309/7*k**2 = 0. Calculate k.
1/3, 1, 2, 30
Let d(z) be the first derivative of -z**3/3 - 42*z**2 + 85*z + 183. Solve d(v) = 0 for v.
-85, 1
Let k(p) be the second derivative of -3*p**5/5 + 301*p**4/3 - 200*p**3/3 - 1208*p. Suppose k(z) = 0. Calculate z.
0, 1/3, 100
Let c be (-22605)/(-297) + -27 - 48. Let -2/9*f**2 - 4/3 - c*f = 0. What is f?
-3, -2
Suppose 4*q = 5*q - 2. Let x(r) = -r + 5. Let y be x(q). Factor 20/7*s**y - 8/7*s**2 + 0*s + 12/7*s**4 + 0.
4*s**2*(s + 2)*(3*s - 1)/7
Let c(u) be the first derivative of 2*u**5/5 - 11*u**4/4 - 85*u**3 + 1431*u**2/2 + 2673*u + 4886. Factor c(d).
(d - 9)**2*(d + 11)*(2*d + 3)
Suppose y + y - 4 = 0. Let q(r) = r**2 - 33*r + 67. Let t be q(31). Factor t*o**2 - y*o**2 + 0*o**2 + 3 + 6*o.
3*(o + 1)**2
Let q(b) = -b**3 - 8*b**2 - 10*b - 10. Let w be q(-7). Suppose 0 = 12*m - 17*m + 10. Suppose 511*t**3 - 10*t - 516*t**3 - w*t**m + 26*t**2 = 0. What is t?
0, 1, 2
Let z be 5/(-2)*13/(-78). Let r(h) be the second derivative of h + 0*h**2 + 0 + 0*h**3 + z*h**4. Solve r(v) = 0 for v.
0
Let f = 51531 + -51528. Let f - 13/4*n**2 + 1/4*n**4 + n**3 - n = 0. Calculate n.
-6, -1, 1, 2
Let s(v) be the first derivative of 0*v + 0*v**2 + 1/4*v**4 - 1/10*v**5 - 1/6*v**3 - 64. Factor s(j).
-j**2*(j - 1)**2/2
Let y = 73 - 68. Factor -4*n**2 - n**3 - 16 - y*n - 19 + 33.
-(n + 1)**2*(n + 2)
Let w = -40438 - -40441. Let f(u) be the first derivative of -6/5*u**5 + 19 - 51/10*u**4 - 12/5*u**w + 0*u + 0*u**2. Solve f(b) = 0.
-3, -2/5, 0
Factor 10/9*u**4 - 1/9*u**5 - 70/9*u**2 - 4 - 95/9*u + 0*u**3.
-(u - 9)*(u - 4)*(u + 1)**3/9
Let w be (-28)/24*(-175)/245. Let i(c) be the second derivative of 0 + c**5 + 2/3*c**6 - 5*c**2 + 5/42*c**7 - w*c**4 - 18*c - 25/6*c**3. Factor i(h).
5*(h - 1)*(h + 1)**3*(h + 2)
Let a(u) = -15*u**2 - 279*u + 1097. Let i(j) = -9*j**2 - 138*j + 548. Let y(k) = -4*a(k) + 7*i(k). Suppose y(z) = 0. What is z?
4, 46
Let u be (-1 + 0)*(-3)/(-6)*0. Let w be 17 - (u + 2 - 4/1). Find r such that 5 - 4*r**5 + 12*r - 8*r**2 - 9 - 7*r**4 - 8*r**3 + w*r**4 = 0.
-1, 1
Let o(s) = s**2 - s. Let j(y) = -34*y - 1 + 3*y**2 + 1 + 43*y. Let p be -2 - 9 - (13 - 18). Let r(n) = p*o(n) + j(n). Factor r(h).
-3*h*(h - 5)
Let w(z) be the second derivative of -z**7/13860 + 7*z**6/495 - 3*z**4/4 + z**2 + 177*z. Let d(a) be the third derivative of w(a). Factor d(h).
-2*h*(h - 56)/11
Let n(q) be the first derivative of 11*q**6/21 + 48*q**5/35 + 2*q**4/7 - 44*q**3/21 - 15*q**2/7 - 4*q/7 - 1010. Determine f so that n(f) = 0.
-1, -2/11, 1
Determine x so that -95673 - 906481 - 60*x**2 + 5224*x - 1190334 + 486852 + 56*x**2 = 0.
653
Let i(k) be the third derivative of k**7/735 - k**6/140 + k**4/21 - 33*k**2 + 19*k - 3. Solve i(a) = 0.
-1, 0, 2
Let l = 261518 + -261514. Determine t so that 0*t + 0 + 3/5*t**3 + 2*t**2 - 1/5*t**l = 0.
-2, 0, 5
Let h(f) = -9 + f**2 + 2*f**3 - 6*f**3 - 9*f - 4*f + 9*f**3. Let y(k) = 16*k**3 + 2*k**2 - 40*k - 26. Let q(i) = 20*h(i) - 6*y(i). Solve q(g) = 0 for g.
-3, -1, 2
Let b be 12/(90/2385 - 3148/(-848)). Factor 48/5*p**3 + 2/5*p**5 + 12/5 + 46/5*p + b*p**4 + 68/5*p**2.
2*(p + 1)**3*(p + 2)*(p + 3)/5
Let m(c) be the third derivative of c**7/10080 - 19*c**6/2880 + 17*c**5/240 + 67*c**4/24 + c**2 - 16*c. Let w(q) be the second derivative of m(q). Factor w(n).
(n - 17)*(n - 2)/4
Let a(u) be the first derivative of -u**5/20 - 5*u**4/8 + u**3 + 17*u**2 + 40*u - 329. Factor a(t).
-(t - 4)*(t + 2)**2*(t + 10)/4
Let h(k) be the first derivative of -4/3*k**3 + 0*k + 12*k**2 - 1. Suppose h(w) = 0. Calculate w.
0, 6
Let o(f) be the third derivative of 28*f**2 + 3/2*f**4 + 4*f + 0 + 47/200*f**6 + 0*f**3 - 56/25*f**5 + 1/50*f**7. Determine w so that o(w) = 0.
-10, 0, 2/7, 3
Let c(g) = 5*g**2 - 22091*g + 24376298. Let m(y) = 5*y**2 - 22090*y + 24376300. Let q(k) = 10*c(k) - 11*m(k). Solve q(o) = 0.
2208
Let j(k) be the third derivative of k**5/150 + 11*k**4/30 + 19*k**3/5 - 5294*k**2. Find d, given that j(d) = 0.
-19, -3
Let h(l) = -62*l**2 + 811*l + 40000. Let w(q) = 34*q**2 - 406*q - 20000. Let o(v) = 6*h(v) + 11*w(v). Determine u, given that o(u) = 0.
-100
Let y(h) = 2*h**2 - 3*h + 2. Let t(j) = -45*j**2 + 2661*j + 1679570. Let z(g) = -3*t(g) - 69*y(g). Suppose z(d) = 0. Calculate d.
-1296
Let q(l) be the first derivative of 2/3*l**2 - 11/27*l**3 - 34 - 18*l + 1/9*l**4 - 1/90*l**5. Let x(n) be the first derivative of q(n). Factor x(k).
-2*(k - 3)*(k - 2)*(k - 1)/9
Let p be (22 + 475/(-19))*80/(-156). Factor -2/13*z**2 + p + 6/13*z.
-2*(z - 5)*(z + 2)/13
Let q be ((-14)/8)/((-1)/12). Let 17 + 144*y + 31 - q + 192*y**2 = 0. What is y?
-3/8
Let a(w) be the second derivative of -w**10/20160 + w**9/5040 - w**7/840 + w**6/480 + 7*w**4/12 + w + 8. Let j(d) be the third derivative of a(d). Factor j(z).
-3*z*(z - 1)**3*(z + 1)/2
Let q be 6*11/(-132) + (-33)/(-4) + -7. Find y such that -q*y**3 - 297/4*y - 363/4 + 63/4*y**2 = 0.
-1, 11
Solve 11*p**2 - 41*p**2 - 34 + 3*p + 60 + 13 + 75 = 0.
-19/10, 2
Let n = 464706 - 464704. Find o, given that 2/3*o**n + 10/3*o + 8/3 = 0.
-4, -1
Let a(i) be the first derivative of -i**5/55 - 13*i**4/44 - 5*i**3/3 - 75*i**2/22 - 3781. Factor a(h).
-h*(h + 3)*(h + 5)**2/11
Suppose -5*m + 3*r - 5*r + 79 = 0, -m + 2*r = -23. Suppose -31 = 18*b - 625. Suppose 6*w**2 - m - 16 + b - 3*w**4 + 3*w**3 = 0. What is w?
-1, 0, 2
Let o(x) = 2*x**2 + 116*x + 320. Let b(v) = v**2 + 56*v + 160. Let a(w) = 7*b(w) - 3*o(w). Factor a(t).
(t + 4)*(t + 40)
Let d(y) be the third derivative of y**5/600 + 157*y**4/30 + 98596*y**3/15 + 4322*y**2. Find g such that d(g) = 0.
-628
Let j = -5312 + 5314. Let z(n) be the first derivative of -5/3*n**3 - 22 + 0*n**j - 5/2*n**4 + 0*n. Factor z(r).
-5*r**2*(2*r + 1)
Let l(t) = -t**3 + 5*t**2 + 402*t - 2376. Let a be l(6). Let q be ((-9)/18 - -2)*4/21. Suppose 0*s + a + q*s**2 = 0. Calculate s.
0
Let o = -12071 - -12071. Let p(d) be the second derivative of o + 1/15*d**2 + 1/150*d**5 - 1/90*d**4 + 23*d - 1/45*d**3. Let p(z) = 0. What is z?
-1, 1
Let r = 34655 + -34647. Let 16/3*o**3 + 0 - 2/3*o**5 - 2/3*o**4 + 0*o +