5*y**2. Find s, given that h(s) = 0.
-2/9, 0, 3
Let -2205*k**2 + 1372*k**3 + 6580*k - 6885 + 2505 + 1392*k**3 - 2759*k**3 = 0. Calculate k.
1, 2, 438
Suppose 0 = -5*j + k + 247 - 196, -8*j + 66 = k. Solve -27/4*o**3 + 3/4*o**5 - 3/4*o**4 + 39/4*o**2 - j + 6*o = 0 for o.
-3, -1, 1, 2
Factor 1/3*f**4 - 55/3 - 14*f**2 - 104/3*f + 8/3*f**3.
(f - 5)*(f + 1)**2*(f + 11)/3
What is g in 1447*g**2 - 12996 - 702*g**2 - 746*g**2 + 228*g = 0?
114
Let r(n) be the second derivative of 5*n**4/12 - 145*n**3/3 + 540*n**2 + 303*n + 5. Factor r(f).
5*(f - 54)*(f - 4)
Let j(x) = 3*x**4 + x**3 + x. Let a(b) = -20*b**4 - 2*b**3 - 22*b**2 - 63*b. Let m(i) = 3*a(i) + 21*j(i). Solve m(c) = 0.
-7, -2, 0, 4
Suppose 5*j - 140 + 40 = 0. Factor -7*y**2 + 10*y**2 - 16*y + 6*y - j*y.
3*y*(y - 10)
Let h be (84/(-98))/(6/(-28)). Suppose 0 = 6*f - f - 4*b - 43, -h*f - 2*b = -24. Factor -2*l**3 - 4*l - 87 + l**4 + 87 - f*l**2.
l*(l - 4)*(l + 1)**2
Factor 10*w - 91 - 5*w - 703*w**2 - 8*w + 1 + 706*w**2.
3*(w - 6)*(w + 5)
Suppose j = 22 - 8. Suppose -d = -t - 4, -4*t - t = -2*d + j. Factor -45*k**4 - 2*k**2 - 240*k - 54*k**d - 160*k**3 - 5*k**5 - 224*k**2 - 80.
-5*(k + 1)*(k + 2)**4
Let f(u) be the first derivative of 0*u**3 + 0*u - 16/5*u**5 + 154 + 0*u**2 - 2/3*u**6 - 3*u**4. Factor f(k).
-4*k**3*(k + 1)*(k + 3)
Let n be 1/1 + 2/4*-4. Let w be 4*n/(-2) + -1 + 2. Factor -12*t**3 + 8*t + 50*t**3 - 12*t**w + 19*t**2 - 4 - 19*t**3.
(t + 1)*(t + 2)*(7*t - 2)
Let v(w) = 17*w**2 - 29*w + 31. Let k be v(1). Suppose 7*f - k = -19. Solve 0*b**2 - 2/7*b**3 + 2/7*b + f = 0 for b.
-1, 0, 1
Factor 1356*w - 48*w**2 - 51*w**2 + 151*w**2 + 459684 - 51*w**2.
(w + 678)**2
Suppose 2*q + m = 2, -121*q - 3*m - 21 = -124*q. Let p(j) be the first derivative of -3/10*j**2 + 0*j - 1/5*j**q + 21. Find r, given that p(r) = 0.
-1, 0
Let f(t) = -12*t**3 + 48*t**2 - 18*t - 38. Let j(s) = -s**3 + 6*s**2 - 3. Let b(v) = -f(v) + 10*j(v). Suppose b(d) = 0. Calculate d.
-4, -1
Let v be 256/110 + (783/145 - 7). Solve v*h + 2/11*h**2 + 6/11 = 0.
-3, -1
Let t = -1876 - -1878. Let x(l) be the first derivative of -16*l - 20 - 4/3*l**3 - 8*l**t. Solve x(p) = 0 for p.
-2
Let h(a) be the second derivative of -65/4*a**5 - 22/3*a**3 + 15*a**4 - 4*a + 175/24*a**6 + 5 + 2*a**2. Suppose h(r) = 0. What is r?
2/7, 2/5
Factor 101*o - 1285*o + 259*o**2 + 12*o**3 + 136*o**2 - 643*o**2.
4*o*(o + 4)*(3*o - 74)
Let i(p) be the first derivative of 2/15*p**5 + 6*p + 8*p**2 - 55 + 4/3*p**4 + 44/9*p**3. Factor i(t).
2*(t + 1)**2*(t + 3)**2/3
Let q(g) be the second derivative of -2/5*g**5 + 2/21*g**7 + 2/3*g**4 - 2*g**2 + 2/3*g**3 - 2/15*g**6 + 0 + 46*g. Let q(m) = 0. Calculate m.
-1, 1
Let r(n) be the first derivative of n**4/8 - 13*n**3/6 + 23*n**2/4 - 11*n/2 - 12022. Solve r(s) = 0.
1, 11
Let u(k) be the second derivative of -2*k**6/15 - 38*k**5/5 + 361*k**4 + 54872*k**3/3 - 1042568*k**2 + 3*k + 109. Factor u(m).
-4*(m - 19)**2*(m + 38)**2
Suppose 5*o = -2155*v + 2153*v + 28, o - 3*v + 25 = 0. Determine i so that 20/9*i**o + 0 - 8/3*i + 4/9*i**3 = 0.
-6, 0, 1
Let o(l) be the second derivative of 1/40*l**5 + 3/8*l**4 + 0*l**2 - 1 + 0*l**3 - 20*l. Factor o(j).
j**2*(j + 9)/2
Let b(k) be the third derivative of 21 + 0*k**4 + 1/600*k**6 - 2*k**2 + 0*k + 1/60*k**5 + 0*k**3. Factor b(x).
x**2*(x + 5)/5
Let k(y) be the second derivative of y**5/80 - 5*y**4/12 - 11*y**3/6 - 12452*y. Solve k(z) = 0.
-2, 0, 22
Let m(u) be the second derivative of u**7/4284 + u**6/680 + u**5/255 + 11*u**4 + 5*u - 10. Let d(h) be the third derivative of m(h). Factor d(j).
2*(j + 1)*(5*j + 4)/17
Let s be 1/24*-3 - (-9)/24. Let b(o) be the second derivative of 0 + 0*o**2 + 5/12*o**4 + 0*o**3 - s*o**5 - 15*o. Determine t so that b(t) = 0.
0, 1
Let x be (2/(-4))/(6/(-24)). Factor -29*h**x + 14*h**2 - 3 + 3 - 10*h.
-5*h*(3*h + 2)
Let h(g) = -11*g**2 - 64*g - 432. Let b(j) = 13*j**2 + 62*j + 432. Suppose -3*y - 18 = -30. Let w(a) = y*b(a) + 5*h(a). Solve w(z) = 0 for z.
-12
Let g(d) be the third derivative of d**7/42 - 5*d**6/12 - 15*d**5/4 + 175*d**4/12 + 260*d**3/3 - 787*d**2. Let g(s) = 0. Calculate s.
-4, -1, 2, 13
Let q(d) be the third derivative of d**10/166320 + d**9/41580 - 17*d**4/12 + 59*d**2. Let i(p) be the second derivative of q(p). Factor i(h).
2*h**4*(h + 2)/11
Let h(i) be the third derivative of -i**6/40 - 2*i**5/5 + 59*i**4/8 - 39*i**3 + 3*i**2 - i + 97. Factor h(t).
-3*(t - 3)*(t - 2)*(t + 13)
Let n be (4550/(-11375))/((-3)/5). Factor 4*p - 16/3 - n*p**2.
-2*(p - 4)*(p - 2)/3
Let r(s) be the third derivative of -s**6/120 - s**5/40 + 5*s**4/2 + 56*s**3/3 + 20*s**2. Let m(c) be the first derivative of r(c). Factor m(d).
-3*(d - 4)*(d + 5)
Suppose -4*j - 17 = 5*g, 18 = 2*j + 5*g + 39. Let 1/2*w - 1/2*w**j + 1/2 - 1/2*w**3 = 0. What is w?
-1, 1
Let b(m) be the third derivative of m**7/504 + 5*m**6/144 - 11*m**4/12 - m**3/6 + 16*m**2 - 2*m. Let n(x) be the second derivative of b(x). Factor n(o).
5*o*(o + 5)
Let i(o) = 3*o - 84. Let q be 1/7*1 + (-3315)/(-119). Let n be i(q). Find y such that 1/5*y**5 - 4/5*y**2 + n + 0*y - y**4 + 8/5*y**3 = 0.
0, 1, 2
Suppose -36125*t = -4*d - 36124*t + 14, -2*t - 22 = -5*d. Factor 1/6*p**5 - 2/3*p**3 + 0*p**d + 0 - 1/2*p**4 + 0*p.
p**3*(p - 4)*(p + 1)/6
Solve -1/7*o**5 + 0*o + 10/7*o**4 - 30/7*o**2 - 19/7*o**3 + 0 = 0.
-1, 0, 5, 6
Let n(s) be the second derivative of -1/230*s**5 - 46*s + 4/69*s**4 - 5/69*s**3 + 0 - 14/23*s**2. Suppose n(w) = 0. What is w?
-1, 2, 7
Factor 24925*d**3 + 12064*d**4 + 16408*d**3 - 5763*d**3 + 54 - 2754*d + 33714*d**2 + 59535*d**5 - 58183*d**5.
2*(d + 3)**3*(26*d - 1)**2
Let g be 4/8*-6 + 24. Suppose g*f = 23*f. Factor -652 + 2*v**4 - 4*v**3 + f*v + 650 + 4*v.
2*(v - 1)**3*(v + 1)
Let 200*f - 2/3*f**4 + 4/3*f**3 + 190/3*f**2 + 0 = 0. What is f?
-5, 0, 12
Suppose z + 6 = 3*z. Suppose 0 = t + 3*r - 16, t - 5*r = -z*r + 1. Find g, given that -t + 8*g**2 - 6 - 4*g + 5 + 4*g**3 = 0.
-2, -1, 1
Let i = 483899/131970 + -3/43990. Determine y so that 11/3*y**2 + 0 - 2/3*y**3 + 2/3*y - i*y**4 = 0.
-1, -2/11, 0, 1
Find s, given that 395*s**3 + 333*s + 40 + 87*s - 300*s**4 - 1020*s**5 + 895*s**5 + 1190*s**2 = 0.
-2, -1/5, 2
Factor -64*t**2 + 2/3*t**3 + 0 + 190/3*t.
2*t*(t - 95)*(t - 1)/3
Let o = 52 - 53. Let y be (-45 + (-2)/o)/(-1). Factor 23*b**2 - y*b - b - 104 - 138 - 25*b**2.
-2*(b + 11)**2
Let m(w) be the second derivative of -w**4/30 + 8*w**3/5 - 44*w**2/5 - 6062*w. Factor m(x).
-2*(x - 22)*(x - 2)/5
Let t(q) be the second derivative of q**6/50 + 3*q**5/50 - 6*q**4/5 - 5*q**3 - 15*q**2/2 - 5332*q. What is h in t(h) = 0?
-5, -1, 5
Let i be -3*(2*((-18)/(-7))/(-9) - (-6)/(-14)). Let 54/5*q**2 - 198/5 - 6/5*q**i + 30*q = 0. What is q?
-3, 1, 11
Let c(b) be the first derivative of b**3/9 + 127*b**2/3 + 253*b/3 - 735. Find t, given that c(t) = 0.
-253, -1
Let q = -515 - -509. Let m(z) = -12*z - 70. Let n be m(q). Factor 2/15*j + 2/15*j**n + 0.
2*j*(j + 1)/15
Suppose 1600 = 1137*v - 1811. Suppose -1/5*y**v + 8/5 + 4/5*y - 2/5*y**2 = 0. What is y?
-2, 2
Let n(g) be the third derivative of 5*g**8/28 - 97*g**7/42 + 93*g**6/8 - 27*g**5 + 115*g**4/6 + 40*g**3 + 6*g**2 + 21*g - 11. Solve n(r) = 0 for r.
-1/4, 4/3, 2, 3
Suppose -10 + 16*s - 76 - 230*s**2 + 486 + 0*s**4 - 70*s**2 - 4*s**4 - 112*s**3 = 0. What is s?
-25, -2, 1
Let s be 4048/759*171/(-156) - -6. Factor -50/13*m + 20/13*m**2 - s*m**3 + 0.
-2*m*(m - 5)**2/13
Suppose -45 + 46 = -2*k + l, -3*l + 3 = -k. Let q(r) be the second derivative of 8*r**3 + k - 2*r**4 + 1/5*r**5 - 5*r - 16*r**2. Suppose q(c) = 0. What is c?
2
Let o(s) be the second derivative of -s**4/108 - 61*s**3/54 - 21*s**2 + 4285*s. Factor o(n).
-(n + 7)*(n + 54)/9
Let y(v) be the first derivative of -v**4 + 20*v**3 - 2000*v - 6810. Factor y(r).
-4*(r - 10)**2*(r + 5)
Let k(i) be the third derivative of i**7/70 + 2041*i**6/40 + 1040399*i**5/20 - 1042441*i**4/8 + 34*i**2 - 36. Factor k(q).
3*q*(q - 1)*(q + 1021)**2
Factor 0*k**2 - 4*k**2 - 1430 + 1274 - 160*k.
-4*(k + 1)*(k + 39)
Let v(z) be the first derivative of z**9/7056 - z**8/1960 + z**6/420 - z**5/280 - 10*z**3 - 95. Let x(h) be the third derivative of v(h). Factor x(p).
3*p*(p - 1)**3*(p + 1)/7
Let y = -918 - -493. Let g be y/51 + -2 + 11. Factor 0*q**2 - g*q**3 + 0*q + 0 - 1/3*q**5 - q**4.
-q**3*(q + 1)*(q + 2)/3
Solve 2/5*k**4 -