*i**2 = 0.
-1, -2/3, 1
Let x(u) be the third derivative of -u**5/180 - 67*u**4/24 - 100*u**3/9 - 1064*u**2 - 2*u. Let x(o) = 0. Calculate o.
-200, -1
Let j(u) be the third derivative of -u**8/588 + 62*u**7/735 - 29*u**6/70 + 17*u**5/21 - 2*u**4/3 + u**2 + 346. Factor j(x).
-4*x*(x - 28)*(x - 1)**3/7
Suppose -19*h + 25*h = 882. Let l = -142 + h. Factor 1/5*m**l + 2/5*m**2 - 4/5*m**4 - m + 2/5 + 4/5*m**3.
(m - 2)*(m - 1)**3*(m + 1)/5
Let k = -21 + 27. Let m be (16/3)/(20/k). What is y in 0 + 2/5*y**2 + m*y = 0?
-4, 0
Let z = -143 + 143. Let d be 5 + 385/(-99) + z/2. Determine r, given that -4/3*r + 16/9*r**3 - 2/3*r**4 + 0 + d*r**2 = 0.
-1, 0, 2/3, 3
Let s = 59391 + -59389. Factor 0 + 0*g - 1/6*g**3 + 5/3*g**s.
-g**2*(g - 10)/6
Find v, given that -399/4*v**2 - 3/8*v**3 - 789/4 - 2373/8*v = 0.
-263, -2, -1
What is n in -1/5*n + 2/5 + 2/5*n**3 + 2/5*n**4 - 1/5*n**5 - 4/5*n**2 = 0?
-1, 1, 2
Suppose 164*w - 50 - 523 = -81. Factor -9/2*x**2 + 3/2*x - 3*x**4 + 3/2 - 15/2*x**w.
-3*(x + 1)**3*(2*x - 1)/2
Suppose 230*x - 227*x = -15. Let t be 380/(-95) + (1 - x). Suppose 1/2*u**t - 1/2*u + 1/2*u**3 - 1/2 = 0. What is u?
-1, 1
Let c = -909 - -911. Let b be 12/c + -66 + 60. Solve 5*z + b - 1/2*z**2 = 0 for z.
0, 10
Let v(z) be the first derivative of -z**4/4 + z**3/2 + 9*z**2 - 33*z - 82. Let f(y) be the first derivative of v(y). Let f(j) = 0. Calculate j.
-2, 3
Let i(w) = -w**5 + 34*w**4 + 61*w**3 + 13*w**2 - 71*w + 30. Let q(y) = -y**4 - y**3 - y**2 + 2*y - 5. Let o(j) = -2*i(j) - 22*q(j). What is u in o(u) = 0?
-1, 1, 25
Determine z so that -15*z**3 - 69229*z**4 + 69239*z**4 - 52*z**2 - 20*z + 12*z**2 + 5*z**5 = 0.
-2, -1, 0, 2
Let a(y) be the third derivative of 0*y - 1/560*y**7 + 1/960*y**6 + 1/2688*y**8 + 0 - 2*y**2 + 1/160*y**5 - 1/96*y**4 + 0*y**3. Let a(m) = 0. What is m?
-1, 0, 1, 2
Let x be (32 - 16)*(-2)/4. Let a be (-2)/x - 165/(-12). Solve -12*l**3 - 7*l**2 - 6*l - 6*l**2 - a*l**2 + 45*l**4 = 0 for l.
-2/5, -1/3, 0, 1
Let c(k) be the second derivative of 6845*k**4/12 + 925*k**3/3 + 125*k**2/2 - 47*k + 6. Let c(x) = 0. What is x?
-5/37
Find k, given that 5/6*k**3 + 1/6*k**4 + 7/6*k - 13/6*k**2 + 0 = 0.
-7, 0, 1
Let p(g) = 67*g**2 + 256*g + 514. Let s(i) = 13*i**2 + 2. Let z(j) = -p(j) + 5*s(j). Factor z(n).
-2*(n + 2)*(n + 126)
Let s be (-34 - -10)*(-29)/2. Suppose -5*h**4 + 5 + s*h - 19*h**3 + 29*h**3 - 358*h = 0. Calculate h.
-1, 1
Let f(y) = -2*y**3 + y**4 + 13*y + 20*y**2 + 3*y**3 - 7*y - 28*y**2. Let t(h) = -h**4 + 8*h**2 - 7*h. Let s(i) = -5*f(i) - 6*t(i). Solve s(a) = 0 for a.
-2, 0, 1, 6
Suppose 83*d - 38*d = 94*d. Factor 27/4*l**3 + d*l - 3*l**2 + 0.
3*l**2*(9*l - 4)/4
Let p(w) = 3 + 3*w**2 - w**2 - 8*w**2 - 14 + 7 + 4*w. Let n(m) = 8*m**2 - 5*m + 5. Let q(z) = 4*n(z) + 5*p(z). Suppose q(i) = 0. Calculate i.
0
Let b(h) be the third derivative of 211*h**2 + 5/12*h**5 + 0*h + 0 - 1/24*h**6 - 20/3*h**3 - 5/12*h**4. Find n such that b(n) = 0.
-1, 2, 4
Let l(t) = -t**4 - 20*t**3 + 57*t**2 - 62*t + 17. Let m(w) = -w**3 - w - 1. Suppose -116*c - 2 = -117*c. Let g(s) = c*l(s) - 6*m(s). Factor g(q).
-2*(q - 1)**3*(q + 20)
Suppose 8*a - 29 - 11 = 0. Factor 0*p + 2*p + 0*p - a*p**2 + 8*p - 5.
-5*(p - 1)**2
Let z be (1 - 1) + 95/266*480/200. Let -z*w + 36/7 - 2/7*w**2 = 0. Calculate w.
-6, 3
Let v(i) be the third derivative of -i**5/690 - 29*i**4/69 + 605*i**3/69 - 3353*i**2 - 1. Solve v(c) = 0.
-121, 5
Let u(d) = -2*d**2 - 41*d + 68. Let a be u(-18). Let i = 160 - a. Factor 1/4*p**i + 0 - 1/2*p.
p*(p - 2)/4
Determine o so that 20/11 - 2/11*o**2 - 18/11*o = 0.
-10, 1
Let r(j) be the second derivative of -5*j**7/21 + 2*j**6/5 + j**4/3 - j**3 + 41*j. Let p(x) = -x**5 + x**4 + x**2 - x. Let k(f) = 8*p(f) - r(f). Factor k(l).
2*l*(l - 1)**3*(l + 1)
Let c be 0/((-14)/42*6). Factor 1/6*w**4 + c - 2/3*w**2 + 0*w**3 + 0*w.
w**2*(w - 2)*(w + 2)/6
Solve -39/8*c**4 - 123/8*c**3 + 0 - 12*c**2 - 3/2*c = 0 for c.
-2, -1, -2/13, 0
Let b(a) be the third derivative of -a**7/5040 - a**6/1440 + a**5/120 - 29*a**4/12 + 50*a**2. Let w(n) be the second derivative of b(n). Solve w(k) = 0.
-2, 1
Let j(z) be the third derivative of -z**5/420 - 5*z**4/168 + 8506*z**2. Determine p, given that j(p) = 0.
-5, 0
Let k(g) be the first derivative of -4*g**5/5 - 23*g**4 - 108*g**3 - 194*g**2 - 152*g - 398. What is i in k(i) = 0?
-19, -2, -1
Factor -2226*c**2 + 4413*c**2 + 3*c**3 - 2253*c**2 + 363*c.
3*c*(c - 11)**2
Let i(d) = -d**2 + 9*d + 14. Let t = -18 + 28. Let m be i(t). Factor -5*s**3 + m - 4 + 15*s**2.
-5*s**2*(s - 3)
Suppose -2420 = -4*c - 4*d, 5*d - 1213 = -c - c. Let p = c - 4225/7. Find t such that -3/7 + 9/7*t + 6/7*t**4 - 9/7*t**3 - p*t**2 = 0.
-1, 1/2, 1
Let m(x) = -x**2 - 10*x - 8. Let y be m(-10). Let c = y + 14. Factor 0*o**2 + 6*o**3 + 2*o**5 - 4*o**3 + o - c*o**4 + 6*o**2 - 5*o.
2*o*(o - 2)*(o - 1)**2*(o + 1)
Let f = 1377/80 + -617/80. Factor 17/2*c**2 + 5/2*c**3 + 7/2 + f*c.
(c + 1)**2*(5*c + 7)/2
Suppose 4*u = u. Let o = -63/227 - -643/681. Factor 0*k + 0 + u*k**2 - o*k**3.
-2*k**3/3
Suppose -32*m = 5*m - 1221. Suppose 156*z**2 - 42*z**2 - 39*z**2 - 40*z**2 + 60 - m*z - 44*z**2 = 0. Calculate z.
-5, 4/3
Let c(q) be the second derivative of q**5/40 + 23*q**4/24 + 19*q**3/3 + 8*q - 4. Factor c(g).
g*(g + 4)*(g + 19)/2
Suppose 0 = 5*j + 2*c - 23, -7*c - 27 = -5*j - 5*c. Factor 16*s**3 + 81*s**2 + 78*s**2 - j*s + 4*s**4 - 35*s - 187*s**2.
4*s*(s - 2)*(s + 1)*(s + 5)
Let j(u) be the first derivative of 0*u + 1/2*u**5 - 1/72*u**6 - 15/2*u**4 - 35 + 0*u**2 - 38/3*u**3. Let z(l) be the third derivative of j(l). Factor z(q).
-5*(q - 6)**2
Determine d so that 4*d**2 + 3256 + 40708/5*d = 0.
-2035, -2/5
Suppose -u + 5*c - 24 = u, 5*u - c + 60 = 0. Let d be ((-16)/u)/(240/36). Factor -d*q - 2/5 - 4*q**3 + 23/5*q**2.
-(q - 1)*(4*q + 1)*(5*q - 2)/5
Let q be 4/(-26) - (-104346)/221. Determine a so that 72*a + 3*a**2 + 40 - q - 6*a**2 = 0.
12
Suppose -116/3*g + 98/5*g**2 - 2/15*g**3 + 0 = 0. What is g?
0, 2, 145
Let g be 58/7 + (-40)/140. Solve 4*m**2 - 1346 - 8*m - 2*m**2 - g*m + 1280 = 0.
-3, 11
Let n(r) = -r**2 + 5*r. Let j be 10/6 + (-180)/108. Let o be n(j). Factor 0*z - 3/5*z**4 + 9/5*z**3 + o - 6/5*z**2.
-3*z**2*(z - 2)*(z - 1)/5
Solve 0 + 2/3*m**4 + 0*m - 252*m**2 - 22*m**3 = 0 for m.
-9, 0, 42
Factor -92*a + 1/5*a**2 - 924/5.
(a - 462)*(a + 2)/5
Suppose 3*a + 20 = 5*v, 27*a - 25*a + 12 = 3*v. Determine s, given that 3/5*s**5 + 0*s + 3/5*s**2 - 3/5*s**3 + a - 3/5*s**4 = 0.
-1, 0, 1
Let r = -14317 + 14326. Factor r*m**3 - 17/5*m**4 - 43/5*m**2 + 0 + 14/5*m + 1/5*m**5.
m*(m - 14)*(m - 1)**3/5
What is w in 418/5 + 2/5*w**2 + 12*w = 0?
-19, -11
Let i(c) be the second derivative of 35/6*c**3 + 1/3*c**6 - 2*c**5 + 5/6*c**4 + 5/42*c**7 - 10*c**2 - 68*c + 0. Determine w so that i(w) = 0.
-4, -1, 1
Let k(f) be the second derivative of 7*f**5/150 - 19*f**4/90 + 8*f**3/45 + 4*f**2/15 + 1852*f. Factor k(s).
2*(s - 2)*(s - 1)*(7*s + 2)/15
Suppose 3*a + 54 = -5*v, -302*a - v = -304*a + 16. Factor -1/5 - 1/10*n**3 + 0*n**a + 3/10*n.
-(n - 1)**2*(n + 2)/10
Let y(v) be the second derivative of -2/27*v**3 - 1/135*v**6 - 109*v + 1/45*v**5 + 0*v**2 + 0 + 1/54*v**4. Determine x, given that y(x) = 0.
-1, 0, 1, 2
Solve 156*f + 403*f - 5*f**2 + 484*f - 3240 - 1397*f + 2*f**2 = 0.
-108, -10
Let a = -19480 + 19496. Let i(g) be the first derivative of 0*g**2 + 2/3*g**3 + 0*g - a - 1/10*g**4. Let i(s) = 0. Calculate s.
0, 5
Let c be (520/117)/(-4) + 30/27. Let p(o) be the second derivative of 0*o**3 - 19*o + 0*o**2 + 0*o**4 - 1/75*o**6 + 1/25*o**5 - 1/105*o**7 + c. Factor p(i).
-2*i**3*(i - 1)*(i + 2)/5
Let t(b) be the third derivative of 6*b - 1/21*b**7 + 0 + 4/15*b**6 + 3/10*b**4 - 14*b**2 + 0*b**3 - 23/50*b**5. Let t(s) = 0. Calculate s.
0, 3/5, 2
Let x be ((-162)/(-135))/(-2 - 9/(-5)). Let w be x/(-4) + (-99)/(-330). Solve -2/5 + 4/5*s**4 - 2/5*s**2 - 9/5*s + w*s**3 = 0 for s.
-2, -1, -1/4, 1
Let o be (-2)/16*15024/(-4695). Let c = -207 - -1039/5. Factor 1/5*u**4 + o*u**3 + 3/5 - c*u**2 - 2/5*u.
(u - 1)**2*(u + 1)*(u + 3)/5
Suppose -2*c + 1459 = -573. Let f be (-3 - (-9)/2)/(6/c). Factor 31*o + 8 - f*o**3 - 28*o**2 + 206*o**3 - 3*o.
-4*(o + 1)*(3*o - 2)*(4*o + 1)
Solve 48/17*h - 2/17*h**3 - 6/17*h**2 + 160/17 = 0 for h.
-4, 5
Let l(z) be the second derivative of -z**6/6 + 69*z**5 - 7700