d derivative of 0 + 0*l**3 + 18*l + 1/4*l**4 - b*l**2. Factor g(a).
3*(a - 1)*(a + 1)
Let t(u) be the second derivative of -u**6/120 + 7*u**5/40 - 5*u**4/4 - 13*u**3/3 + 3*u. Let j(r) be the second derivative of t(r). Factor j(o).
-3*(o - 5)*(o - 2)
Let t(x) = -15*x**4 - 40*x**3 + 83*x**2 - 35*x + 7. Let d(b) = -9*b**4 - 19*b**3 + 41*b**2 - 17*b + 4. Let i(l) = 7*d(l) - 4*t(l). Factor i(n).
-3*n*(n - 7)*(n - 1)**2
Let q = -18116 + 18125. Let b(w) be the first derivative of 3/5*w**5 - 5*w**3 + 0*w + 3/2*w**4 - q*w**2 + 5. Factor b(c).
3*c*(c - 2)*(c + 1)*(c + 3)
Let d(s) be the first derivative of 3*s**4/20 + 19*s**3 + 561*s**2/10 + 279*s/5 + 548. Factor d(g).
3*(g + 1)**2*(g + 93)/5
Find g such that -1/4*g**2 + 69 - 10*g = 0.
-46, 6
Let x(q) be the second derivative of -q**5/20 + 47*q**4/12 - 308*q**3/3 + 726*q**2 - 2*q - 109. Factor x(p).
-(p - 22)**2*(p - 3)
Let p(x) be the first derivative of -x**4/22 - 4*x**3 + 136*x**2/11 - 5671. Find g, given that p(g) = 0.
-68, 0, 2
Find n, given that 20*n**4 - 720*n**2 + 104*n**3 - 209*n - 132*n**2 + 865*n + 84*n**3 - 416 + 404*n = 0.
-13, 1, 8/5
Let j = 123823 - 123821. Factor j - 12/7*m - 2/7*m**2.
-2*(m - 1)*(m + 7)/7
Let k(q) be the third derivative of -2*q**7/945 + 19*q**6/270 - 7*q**5/15 + 5*q**4/6 + 6*q**2 + 18. Find o such that k(o) = 0.
0, 1, 3, 15
Let g(o) be the third derivative of -17*o**7/1260 - o**6/270 + 13*o**3/2 + o**2 - 46*o. Let y(b) be the first derivative of g(b). Factor y(h).
-2*h**2*(17*h + 2)/3
Let c(n) be the second derivative of -20*n + 25*n**3 + 145/2*n**2 + 5/12*n**4 + 0. Suppose c(w) = 0. Calculate w.
-29, -1
Let w = 211076 - 211073. What is h in 2/23*h**4 + 72/23 - 20/23*h**w + 26/23*h**2 + 120/23*h = 0?
-1, 6
Let g = -758703 - -3034813/4. Factor -g*k - 1/2 + 1/4*k**2.
(k - 2)*(k + 1)/4
Suppose -6*x - 24 = -0*x. Let n be (-10)/x*(-30)/(-25). Determine v, given that 21*v + 20*v**4 - 6 + 14 + 35*v**2 + 27*v**2 + 15*v + 3*v**5 + 51*v**n = 0.
-2, -1, -2/3
Let z = -444652 + 444655. Let 4/5*j**4 + 64/5 - 32*j - 8*j**z + 132/5*j**2 = 0. What is j?
1, 4
Let x(u) be the first derivative of 2*u**3/15 + 666*u**2/5 + 221778*u/5 + 1902. Factor x(v).
2*(v + 333)**2/5
Let t(i) = i**3 + 2*i**2 - i. Let a(k) = -11*k**3 - 122*k**2 + 261*k + 360. Let w(b) = a(b) + 6*t(b). Determine p so that w(p) = 0.
-24, -1, 3
Let z = -197 - -196. Let u(b) = b - 1. Let h(q) = -5*q**2 - 55*q - 5. Let k(w) = z*h(w) + 5*u(w). Factor k(g).
5*g*(g + 12)
Suppose 0 = -14*g + 3*o + 69, 0 = 2*g + o - 6 - 11. Let n be ((-333)/1620 - 1/(-4))*g. Factor -22/15*r**2 - n - 26/15*r.
-2*(r + 1)*(11*r + 2)/15
Suppose i + 2*i = -i. Factor i*j - 2*j**5 - 1091*j**2 + 24*j**3 + 6*j + 1071*j**2 + 4*j**5 - 12*j**4.
2*j*(j - 3)*(j - 1)**3
Find u, given that 249*u**2 + 2*u**4 - 456*u + 151 + 156 + u**4 - 48*u**3 + 37 - 92 = 0.
1, 2, 6, 7
Let w(v) = 52*v + 470. Let x be w(-9). Let j(l) be the second derivative of -1/6*l**4 - 9*l + l**3 + 0 - x*l**2. Let j(d) = 0. Calculate d.
1, 2
Factor 672*m + 315 + 216 + 2*m**2 + 805.
2*(m + 2)*(m + 334)
Let o be (-8)/(-12)*42 - 4. Suppose 4*b = 3*m - 0*b - 38, -3*b = m - 17. Factor 2*d**3 - 9*d**2 - 19*d**2 + 32*d - o + m*d**2.
2*(d - 3)*(d - 2)**2
Factor 491*q**2 + 173*q - 175*q + 77*q**2.
2*q*(284*q - 1)
Factor 2/3*b**2 - 8*b + 0.
2*b*(b - 12)/3
Suppose -4*p + 23 = 5*i, -11 - 4 = 3*p - 7*i. Let t be (-3 + 12 + -2)*1. Factor -t*y**p + y**2 - 8*y + 10*y**2.
4*y*(y - 2)
Let u(y) be the third derivative of -y**5/110 + 9*y**4/4 - 194*y**3/11 + 12949*y**2. Find d such that u(d) = 0.
2, 97
Let x = 125/959 - -284157/12467. Factor -x*a - 14/13*a**2 - 84/13.
-2*(a + 21)*(7*a + 2)/13
Let x be (20/(-15))/((-8)/18). Determine r, given that -27*r**x + 4*r**5 + 43*r**3 + 8*r**3 + 28*r**4 = 0.
-6, -1, 0
Let a(q) be the first derivative of q**6/21 + 46*q**5/35 + 93*q**4/7 + 468*q**3/7 + 1269*q**2/7 + 1782*q/7 - 144. Let a(f) = 0. What is f?
-11, -3
Let f(d) be the first derivative of 204 + 20*d - 65/2*d**4 + 226/3*d**3 - 67*d**2 + 18/5*d**5. What is g in f(g) = 0?
2/9, 1, 5
Let y(m) be the second derivative of m**5/70 + 91*m**4/2 + 57967*m**3 + 36924979*m**2 + 879*m + 1. Find r, given that y(r) = 0.
-637
Let c(n) be the first derivative of -n**4/12 - 34*n**3/9 - 89*n**2/6 + 124*n/3 - 4040. Determine m, given that c(m) = 0.
-31, -4, 1
Let l = 430 - 409. Let a be (-7)/(l/13) - -9. Factor -2*i**3 + 0 - 2*i**2 + a*i**4 - 2*i**5 + 4/3*i.
-2*i*(i - 1)**3*(3*i + 2)/3
Let v(w) be the third derivative of -w**5/30 - 71*w**4/3 - 283*w**3/3 - 1080*w**2 + 2. Solve v(a) = 0 for a.
-283, -1
Let x(w) = -w**3 - w**2 + 3*w + 11. Let k be x(0). Suppose 21*s**4 + 14*s**5 + k*s**4 + 22*s**3 + 166*s**2 - 162*s**2 = 0. Calculate s.
-1, -2/7, 0
Let i be (-255)/6*348/(-3045). Solve 10/7 - i*z**2 + 18/7*z + 6/7*z**3 = 0 for z.
-1/3, 1, 5
Let f(p) be the third derivative of -p**6/1260 - p**5/90 + 2*p**4/63 - 123*p**2. Find i such that f(i) = 0.
-8, 0, 1
Let i(q) be the second derivative of -q**4/21 - 1508*q**3/7 - 2558322*q**2/7 + 2347*q. Find o such that i(o) = 0.
-1131
Let z = 1/539 - -4309/1617. Let o(l) be the second derivative of 2/15*l**6 + 15*l + 0 + z*l**3 + 0*l**5 - 3*l**4 + 24*l**2. Factor o(f).
4*(f - 2)**2*(f + 1)*(f + 3)
Factor -718/9 + 2/9*j**2 + 716/9*j.
2*(j - 1)*(j + 359)/9
Determine v, given that 90*v + 26*v**2 - 2/5*v**3 + 0 - 2/5*v**4 = 0.
-5, 0, 9
Suppose 122 - 56 = 11*d. Let s(m) be the second derivative of 0 + 1/5*m**5 + 0*m**2 + 0*m**3 + 0*m**4 + 13*m + 2/15*m**d. Suppose s(i) = 0. Calculate i.
-1, 0
Suppose -3 = -3*f, 0 = 2*r - r + 3*f - 13. Let x be 115/r - 3/(-6). Factor p**4 - 16*p**3 - x*p**2 - 4*p**2 + 5*p**4 - 10*p**4.
-4*p**2*(p + 2)**2
Let t(w) be the third derivative of -w**8/336 + 62*w**7/105 - 1361*w**6/40 + 246*w**5 - 450*w**4 - 7106*w**2. Factor t(x).
-x*(x - 60)**2*(x - 3)*(x - 1)
Let r(l) be the first derivative of 5*l**3/3 + 60*l**2 - 405*l + 5368. Find c, given that r(c) = 0.
-27, 3
Let a(d) be the first derivative of d**4/8 - 2*d**3 + 5*d**2 + 2161. Factor a(p).
p*(p - 10)*(p - 2)/2
Let o(z) be the first derivative of 64*z + 97/3*z**3 + 9/2*z**4 + 204 + 1/5*z**5 + 72*z**2. Factor o(r).
(r + 1)**2*(r + 8)**2
Factor 1481/4*f**2 + 0 - 1/8*f**3 - 2193361/8*f.
-f*(f - 1481)**2/8
Let d(w) be the third derivative of 0 + 8/105*w**7 + 0*w**5 + 0*w**3 - w**2 - 1/168*w**8 + 3*w + 0*w**4 + 3/20*w**6. Find m such that d(m) = 0.
-1, 0, 9
Let z(b) be the third derivative of b**5/70 - 13*b**4/84 + 4*b**3/21 - 69*b**2 + 2*b. Solve z(t) = 0.
1/3, 4
Factor -16 + 76959445*s**2 - 76957545*s**2 - 1885*s + 1.
5*(s - 1)*(380*s + 3)
Let o(k) = 7*k - 150. Let j(i) = 13*i - 301. Let w(t) = -3*j(t) + 7*o(t). Let n be w(15). Factor 4/3*l**2 + 0*l + 0*l**n - 8/3 - 1/6*l**4.
-(l - 2)**2*(l + 2)**2/6
Let r(b) be the second derivative of 5/6*b**3 - 15*b**2 - 2 + 1/4*b**5 + 5/3*b**4 - 11*b. Suppose r(c) = 0. Calculate c.
-3, -2, 1
Let g(a) be the second derivative of a**4/6 + 4*a**3/3 - 32*a**2 - a - 96. Factor g(x).
2*(x - 4)*(x + 8)
Let v(g) be the first derivative of g**4/36 - 2*g**3 + 35*g**2/6 - 228*g - 48. Let k(a) be the first derivative of v(a). Factor k(m).
(m - 35)*(m - 1)/3
Let i(g) be the first derivative of 2*g**3/33 - 614*g**2/11 - 8031. Factor i(a).
2*a*(a - 614)/11
Let n = -151542 + 151545. Factor 17/5*a**n + 0 + 3/5*a**2 + 0*a.
a**2*(17*a + 3)/5
Suppose 0*x = 2*k - 5*x + 1763, 4*x - 889 = k. Let p = k - -869. Factor 1/7*z**5 - 2/7*z**2 - 3/7*z**3 + 0*z**4 + 0*z + p.
z**2*(z - 2)*(z + 1)**2/7
Let j = -3/109 - -245/981. Let h be ((-20)/25 - 228/(-270))/(1/5). Factor -j*x - h*x**5 + 0 - 8/9*x**2 - 8/9*x**4 - 4/3*x**3.
-2*x*(x + 1)**4/9
Let w(l) be the third derivative of -l**8/336 + 31*l**7/210 - 17*l**6/40 - 199*l**5/60 - 29*l**4/6 - 1190*l**2. Factor w(y).
-y*(y - 29)*(y - 4)*(y + 1)**2
Let s(y) = -356*y**2 + 2748*y - 2680. Let g(j) = 11*j**2 - 2. Let f(c) = -32*g(c) - s(c). Factor f(v).
4*(v - 686)*(v - 1)
Let r(a) be the second derivative of -a**7/2205 - a**6/168 + a**5/105 + 28*a**4/3 - 90*a. Let u(y) be the third derivative of r(y). Find j, given that u(j) = 0.
-4, 1/4
Determine p so that -86/7*p**3 + 32/7 - 8/7*p**4 - 76/7*p - 186/7*p**2 = 0.
-8, -2, -1, 1/4
Let b(f) = -23*f - 205. Let q be b(-9). Let 16*z**2 + 60*z + 6*z - 37*z**2 + 12*z**q - 21 = 0. What is z?
1/3, 7
Let p be 47/(-11421)*34836/26. Le