 m(f) = 0. What is f?
8/135
Let p be (-124)/(-6)*((-10115)/629 - -16). Let f = -211/148 - p. Determine v, given that -5/4*v**2 + 1/4*v**5 + 0 + f*v**4 - 3/4*v**3 - 1/2*v = 0.
-1, 0, 2
Let d = 4 + 2. Let s(c) = -1101*c - 15 - 15*c**2 - 1112*c + 2216*c. Let x(z) = -4*z**2 + z - 4. Let y(m) = d*s(m) - 22*x(m). Solve y(v) = 0 for v.
-1
Let q(b) = -b**2 - 131*b + 293. Let i(k) = -2*k**2 - 264*k + 581. Let x(w) = -3*i(w) + 5*q(w). Factor x(u).
(u - 2)*(u + 139)
Let s(f) = 20*f**4 + 24*f**3 + 4*f**2. Let h(r) = -r**4 - r**3. Let j(i) = -2*i**3 + i**2 + 2*i. Let o be j(-1). Let w(u) = o*s(u) + 6*h(u). Factor w(v).
2*v**2*(v + 1)*(7*v + 2)
Let d(n) be the second derivative of n**6/75 + 2*n**5/25 + 3132*n. Determine m so that d(m) = 0.
-4, 0
Let n(v) be the first derivative of 0*v + 2/15*v**3 + 1/5*v**2 + 57. Factor n(p).
2*p*(p + 1)/5
What is o in 4*o**3 - 4*o + 16/5*o**2 - 16/5 = 0?
-1, -4/5, 1
Let q be ((-136)/34)/4 + 1 + 3. Suppose -12/5*a**4 + 48/5*a**2 + 0 - 32/5*a - 8/5*a**q + 4/5*a**5 = 0. What is a?
-2, 0, 1, 2
Let y(i) be the first derivative of -2*i**6/105 + 3*i**5/35 - 8*i**3/21 + 72*i + 160. Let a(g) be the first derivative of y(g). Factor a(h).
-4*h*(h - 2)**2*(h + 1)/7
Let q be (1107/1944 + (-8)/18)/(340/(-32) + 11). Factor p**2 + 0 - q*p + 1/3*p**4 - p**3.
p*(p - 1)**3/3
Factor 308*z - 80*z**2 + 23 - 3 - 324 + z**3.
(z - 76)*(z - 2)**2
Find y such that 0 + 0*y + 13/2*y**4 - 39/2*y**3 - 1/2*y**5 + 27/2*y**2 = 0.
0, 1, 3, 9
Let x(n) be the first derivative of 239 - 120/17*n**2 - 46/51*n**3 + 288/17*n - 1/34*n**4. Factor x(m).
-2*(m - 1)*(m + 12)**2/17
Suppose 2*o - 5 + 7 = 0, y = o + 1. Let w(m) be the third derivative of y*m**3 + 0*m**4 + 0 + 2/525*m**7 + 0*m - 1/50*m**6 + 0*m**5 + 6*m**2. Factor w(z).
4*z**3*(z - 3)/5
Let p be -2*(-2603)/1615 + (-3)/(-5). Let a = 342/85 - p. Factor -2*q + 9/5 + a*q**2.
(q - 9)*(q - 1)/5
Let v be 0*(-2 + 1/6 - 4136/(-3102)). Determine z so that 2/5*z**4 + 16/5*z**3 - 28/5*z + v + 2*z**2 = 0.
-7, -2, 0, 1
Let u be ((-7425)/(-220))/(11/8 - 1). Let p be (60/1100)/(3/u). Find h, given that -2/11*h**5 + 0 + p*h**4 + 0*h + 32/11*h**2 - 48/11*h**3 = 0.
0, 1, 4
Let y be 7/(-364)*2*-28*(35 - 22). Factor y*d**2 + 0 + 4*d**3 + 0*d + 2/7*d**4.
2*d**2*(d + 7)**2/7
Let g(a) be the third derivative of a**6/420 + 2*a**5/21 + 17*a**4/28 + a**2 - 3101. Suppose g(b) = 0. Calculate b.
-17, -3, 0
Let b(z) = 7*z**3 - 34*z**2 + 28*z + 69. Let r(h) = 2*h**3 - h + 1. Let u(g) = b(g) - 3*r(g). Find w, given that u(w) = 0.
-1, 2, 33
Let s(y) = 14*y + 300 + 12*y + 29*y - 12*y + 31*y. Let m be s(-4). Factor 1/2*d**5 + 0*d**2 + 0 + 0*d - 1/2*d**3 + 0*d**m.
d**3*(d - 1)*(d + 1)/2
Let t(b) be the first derivative of b**5/10 + 99*b**4/2 - 199*b**3 + 299*b**2 - 399*b/2 + 1824. Determine j so that t(j) = 0.
-399, 1
Find o, given that -11*o**2 - 70/3*o + 0 + 71/3*o**3 + 11*o**4 - 1/3*o**5 = 0.
-2, -1, 0, 1, 35
Factor -5*q**3 - 990 + 875*q**2 + 990 - 870*q.
-5*q*(q - 174)*(q - 1)
Determine q so that -85*q**3 + 521*q**2 + 1279 - 5465*q - 70*q**4 + 1067*q**2 + 5442*q**2 - 289 = 0.
-11, 2/7, 1/2, 9
Suppose -212/13 - 102/13*t - 2/13*t**3 + 108/13*t**2 = 0. What is t?
-1, 2, 53
Let c be 3 + 2/(-6)*(68/16 - -1). Let w(s) be the second derivative of c*s**4 + 0 + 25/2*s**2 - 6*s + 1/4*s**5 - 15/2*s**3. Factor w(j).
5*(j - 1)**2*(j + 5)
Let f = -3629 + 3631. Let m(h) be the second derivative of 0 - 3*h + 0*h**f - 1/80*h**5 + 0*h**3 - 1/12*h**4. Let m(d) = 0. Calculate d.
-4, 0
Find r, given that 1/5*r**2 + 416/5*r - 836/5 = 0.
-418, 2
Let c(h) be the second derivative of -h**5/110 - 19*h**4/66 - 70*h**3/33 + 8*h + 44. Solve c(b) = 0 for b.
-14, -5, 0
Let j(n) be the third derivative of -n**8/84 - 2*n**7/105 + n**6/3 + 4*n**5/15 - 4*n**4 + n**2 - 8*n + 66. Let j(k) = 0. Calculate k.
-3, -2, 0, 2
Let z be 1020/300 - (1 + 0). Let q = 77/30 - z. What is r in -q*r**2 - 1/6*r + 1/3 = 0?
-2, 1
Let d(m) be the second derivative of -m**6/40 - 153*m**5/20 + 411*m**4/16 - 103*m**3/4 - 6306*m. Factor d(y).
-3*y*(y - 1)**2*(y + 206)/4
Let t be ((-14)/6 - -1) + (-595)/(-21). Factor 0 - t*y - y**2 - 3*y - 312 + 87.
-(y + 15)**2
Let g be (5/(-10))/((-4)/(-88)). Let k(x) = -10*x**2 + 50*x. Let w(v) = -5*v**2 + 25*v. Let i(h) = g*w(h) + 6*k(h). Factor i(l).
-5*l*(l - 5)
Suppose 654 = -4*y + 678. Factor -8254*v + 87808 + 2*v**3 + 336*v**2 - y*v**3 - 1154*v.
-4*(v - 28)**3
Let p(x) be the third derivative of x**7/2520 + x**6/60 + 3*x**5/10 - x**4/24 - 35*x**3/6 + 78*x**2. Let r(l) be the second derivative of p(l). Factor r(u).
(u + 6)**2
Suppose d + 12 - 2 = 0. Let x = 1 - d. Factor -4*h**3 - 35*h**2 + 8*h**2 + x*h**2.
-4*h**2*(h + 4)
Factor 105*v**2 - 637*v + 17*v + 347*v**2 + 343*v**2 + 5*v**4 - 180*v**3.
5*v*(v - 31)*(v - 4)*(v - 1)
Let o(c) = -4*c - 16. Let v be o(-7). Suppose 0 = -9*l + v*l - 75. Factor -h - h**3 - l - 27 + 2*h - 3*h**2 + 55.
-(h - 1)*(h + 1)*(h + 3)
Suppose 0 = -19*o + 184 + 766. Suppose -19*d - 12 + o = 0. Suppose -40/7*u - 100/7 - 4/7*u**d = 0. Calculate u.
-5
Let b = -128 - 654. Let m = b - -1567/2. Factor m - g**2 - 1/4*g**3 - 1/4*g.
-(g - 1)*(g + 2)*(g + 3)/4
Let t(b) be the third derivative of -b**7/70 + 101*b**6/2 - 153015*b**5/2 + 128787625*b**4/2 - 65037750625*b**3/2 - 5*b**2 - 3*b - 21. Factor t(o).
-3*(o - 505)**4
Let d(i) be the first derivative of i**5/30 + 7*i**4/6 + 47*i**3/6 + 101*i**2/6 + 44*i/3 + 987. Determine a so that d(a) = 0.
-22, -4, -1
Let a(l) = l**5 - l**4 + l**3 - l**2 + l. Let r(o) = o + 3*o - 3623 + 3623 - 6*o**4 - 4*o**2 + 6*o**5. Let h(u) = -4*a(u) + r(u). Factor h(y).
2*y**3*(y - 2)*(y + 1)
Suppose 0 = -5*n - 15*r + 14*r - 4358, -3*r = -6. Let i = -867 - n. Suppose 4/3*c**3 - 4/3*c**4 + 0*c + 0 + 4/9*c**i - 4/9*c**2 = 0. What is c?
0, 1
Let p = -83 + 86. Let 51 - 8 + 9 + 49*s**p + 609*s**2 - 360*s = 0. What is s?
-13, 2/7
Suppose -1039*i + 12022 = 1410*i + 175*i - 1098. Factor 14/5*u**4 + 2*u**2 - 4/5*u**i - 18/5*u**3 - 2/5*u + 0.
-2*u*(u - 1)**3*(2*u - 1)/5
Let r = 39 + -33. Let g(d) = d**3 - 7*d**2 + 9*d - 16. Let q be g(r). Find y, given that 14/5*y**3 - 8/5*y + 0 + 16/5*y**q - 2*y**4 = 0.
-1, 0, 2/5, 2
Let z(l) = 3*l**2 + 10224*l + 8710836. Let i(h) = -3*h**2 - 10224*h - 8710840. Let m(a) = -3*i(a) - 2*z(a). Factor m(r).
3*(r + 1704)**2
Factor 437/5 + 3/5*r**2 + 88*r.
(r + 1)*(3*r + 437)/5
Let t(b) be the third derivative of b**7/150 - 109*b**6/150 - 193*b**5/75 + 32*b**4/15 - 33*b**2 - 7*b. Factor t(s).
s*(s - 64)*(s + 2)*(7*s - 2)/5
Let g be (8/(-30)*2)/(14*(-144)/2520). Factor 4/3 + 3*q + g*q**2.
(q + 4)*(2*q + 1)/3
Let z(m) be the third derivative of m**7/1575 + m**6/90 + m**5/30 - 5*m**4/18 - 56*m**3/45 - 728*m**2 - 2*m. Let z(d) = 0. What is d?
-7, -4, -1, 2
Suppose 249*v**3 - 373*v**3 + 319*v**3 - 190*v**2 - 5*v**4 = 0. What is v?
0, 1, 38
Let h(n) be the third derivative of 1/15*n**4 + 1/1575*n**7 - 1/225*n**5 + 23*n**2 + 0*n + 0 - 1/225*n**6 + 1/5*n**3. Find j, given that h(j) = 0.
-1, 3
Let m(t) be the second derivative of t**5/4 - 50*t**4/3 + 1330*t**3/3 - 5880*t**2 - 2651*t. Find s such that m(s) = 0.
12, 14
Let x(m) be the first derivative of 4*m**5/25 - 31*m**4/20 + 17*m**3/15 + 31*m**2/10 - 21*m/5 - 651. Solve x(g) = 0.
-1, 3/4, 1, 7
Let o be (9/(351/(-377)))/((-2)/(-102)). Let a = o - -495. Factor 0 - 4/5*n - 2/5*n**3 + 6/5*n**a.
-2*n*(n - 2)*(n - 1)/5
Let h(l) be the first derivative of -l**7/2940 + l**5/420 + 9*l**3 + 39. Let u(z) be the third derivative of h(z). Factor u(x).
-2*x*(x - 1)*(x + 1)/7
Let s = 27543458/295 + 1095556/59. Let -2/5*q**4 - s + 97336/5*q - 6348/5*q**2 + 184/5*q**3 = 0. Calculate q.
23
Let z(x) = 6*x**3 + 76*x**2 - 280*x + 368. Let v(b) = 10*b**3 + 147*b**2 - 560*b + 732. Let h(a) = 4*v(a) - 7*z(a). Suppose h(w) = 0. What is w?
2, 4, 22
Let y(k) be the first derivative of -k**3 + 9069*k**2 - 27415587*k + 6340. Factor y(q).
-3*(q - 3023)**2
Let s be (2/(-8))/((35/36)/(-7)). Let p be (-1)/10*(1 + 33) - -4. Find v, given that -p*v**4 + 0*v**2 + 0*v - s*v**3 + 0 = 0.
-3, 0
Let w = -667 + 457. Let u be (350/w)/(5/(-6)). Solve 8/13*s**u + 6/13*s + 2/13*s**3 + 0 = 0.
-3, -1, 0
Let g(l) be the second derivative of -1/21*l**7 - 4/45*l**6 + 5 + 3*l + 0*l**2 + 1/9*l**4 + 1/30*l**5 + 0*l**3. Suppose g(s) = 0. Calculate s.
-1, 0, 2/3
Let o be -2 + (-103)/(-6) + (-80)/480. Let p