Let u(q) be the third derivative of 446631*q**6/20 - 58989*q**5/10 + 2597*q**4/4 - 343*q**3/9 - 32*q**2 - 27. Suppose u(w) = 0. What is w?
7/159
Let i be 8/(-5) - 6/15. Let k(f) = -3*f**2 - 45*f - 88. Let c(j) = -j**2 - 1. Let a(s) = i*c(s) - k(s). Factor a(h).
5*(h + 3)*(h + 6)
Let z = -4802 + 4829. Find c, given that -123/5*c**2 + 243/5*c**5 - 12/5 + 96/5*c + z*c**4 - 339/5*c**3 = 0.
-1, 2/9, 1
Let y be 5*(-39*(-12)/845 + 2/(-13)). Let b(z) be the first derivative of -1/3*z - 44 - 1/3*z**y - 1/9*z**3. Factor b(x).
-(x + 1)**2/3
Suppose -8*d = 25*d - 561. Let s be 378/(-49) - -8 - d/(-14). Solve -3 + 9/2*j**2 - s*j**4 - 3/2*j + 3/2*j**3 = 0.
-1, 1, 2
Suppose 15*c - 99 = 6*c. Find k, given that -c*k - 13*k + 12*k - 16 - 2*k**2 = 0.
-4, -2
Suppose 639 = 35*o - 26*o. Suppose 0 = -o*p + 76*p. Let -2/13 + 2/13*y**2 + p*y = 0. Calculate y.
-1, 1
Let d(w) = -2*w**2 - 47*w - 236. Let s be d(-15). Let v(y) be the third derivative of s*y**2 - 3/25*y**5 + 0 + 4/15*y**3 + 0*y + 7/30*y**4. Factor v(t).
-4*(t - 1)*(9*t + 2)/5
Suppose -17*w - 17*w + 138278 = 0. Let v be (664/w)/((-2)/(-7)). Factor 4/7 - v*o**5 + 20/7*o**4 - 20/7*o + 40/7*o**2 - 40/7*o**3.
-4*(o - 1)**5/7
Suppose -1864 = -41*n + 1785. Let y = n - 87. Determine u so that -1 + 1/2*u - 1/2*u**3 + u**y = 0.
-1, 1, 2
Let x(b) = -16*b**2 + 2982*b - 3026. Let q(f) = 94*f**2 - 17893*f + 18149. Let d(s) = 6*q(s) + 35*x(s). Factor d(r).
4*(r - 746)*(r - 1)
Let k(q) = -q**3 + 2*q**2 + q + 4. Let u(l) = -2*l**3 + 117*l**2 - 111*l - 212. Let m(p) = -15*k(p) + 5*u(p). Factor m(y).
5*(y - 2)*(y + 1)*(y + 112)
Let r(i) be the first derivative of -3*i**4/20 - 311*i**3/5 - 36036*i**2/5 + 73008*i/5 - 12300. What is n in r(n) = 0?
-156, 1
Factor 2/23*b**2 - 6/23 + 4/23*b.
2*(b - 1)*(b + 3)/23
Let g(n) be the second derivative of n**4/12 - 206*n**3 - 1237*n**2/2 - 2810*n. Suppose g(v) = 0. What is v?
-1, 1237
Let m(w) be the second derivative of 1/4*w**3 + 1/24*w**4 - 38*w + 1/2*w**2 + 0. Factor m(g).
(g + 1)*(g + 2)/2
Let h(m) be the third derivative of -m**6/120 - 2*m**5/5 + 9*m**4/2 - 56*m**3/3 - m**2 - 315*m. Let h(q) = 0. What is q?
-28, 2
Let j(a) = a**3 - 5*a**2 + 2*a + 11. Let z be j(4). Determine i so that -2*i**2 - 5*i - i**z - i**4 - 2*i**3 + i**2 + 2 + 8*i = 0.
-2, -1, 1
Suppose -5*q**4 - 3903 + 50*q**3 + 3903 - 145*q**2 + 100*q = 0. Calculate q.
0, 1, 4, 5
Let o(t) be the third derivative of 7*t**7/195 + 7*t**6/390 - 323*t**5/390 + 18*t**4/13 - 12*t**3/13 - t**2 - 1654*t. Find z such that o(z) = 0.
-3, 2/7, 3/7, 2
Find b such that -1/6*b**3 + 1/6*b**2 + 8/3*b + 10/3 = 0.
-2, 5
Let h be ((-21)/(-14))/((-12)/(-40)). Factor 18*s**3 + 0*s**4 - 2*s**5 - 8*s**3 - 3*s**h + 10*s**3 + 15*s**4.
-5*s**3*(s - 4)*(s + 1)
Factor -368/3 + 370/3*s - 94/3*s**2 + 1/6*s**3.
(s - 184)*(s - 2)**2/6
Let w = -86342 + 86345. Factor 1/2*u**4 + 7/2*u**3 + 17/2*u**2 + w + 17/2*u.
(u + 1)**2*(u + 2)*(u + 3)/2
Let g = 151 - 144. Find q, given that -3*q + 2*q**3 + g*q**5 - 26 + 19*q**4 + 30 - q**3 - 5*q - 23*q**2 = 0.
-2, -1, 2/7, 1
Let k(p) be the second derivative of 0 - 1/6*p**3 + 0*p**2 + 4*p - 1/252*p**6 - 2/105*p**5 + 1/21*p**4. Let l(a) be the second derivative of k(a). Factor l(x).
-2*(x + 2)*(5*x - 2)/7
Let c(b) be the first derivative of -b**7/490 + 3*b**6/70 + 13*b**5/140 + b**2/2 + b + 42. Let y(w) be the second derivative of c(w). Factor y(m).
-3*m**2*(m - 13)*(m + 1)/7
Let x be (-5)/60*6 + (-10)/(-4). What is h in 8*h - 50 + 13146*h**x + 47*h - 13151*h**2 = 0?
1, 10
Let p(l) be the second derivative of 7/25*l**5 + 11/5*l**2 - 2 + 34/15*l**3 - 30*l + 1/75*l**6 + 6/5*l**4. Solve p(q) = 0.
-11, -1
Let p(w) be the first derivative of 3*w**5/40 - w**4 + 5*w**3/4 + 21*w**2/2 + 8*w - 171. Let v(d) be the first derivative of p(d). Factor v(f).
3*(f - 7)*(f - 2)*(f + 1)/2
Let a(k) = 4*k**2 - 12*k - 34. Let u be a(-3). Determine h, given that 18*h**2 + 48 + 79*h + 2*h**3 + u*h - 185*h = 0.
-12, 1, 2
Let n be -12*(13233/528 - 26). Factor 5/2 + 45/4*y - n*y**3 - 5/2*y**2.
-5*(y - 1)*(y + 1)*(9*y + 2)/4
Factor -280 - 272/3*k**2 - 1114/3*k + 2/3*k**3.
2*(k - 140)*(k + 1)*(k + 3)/3
Let n(p) = 15*p**3 + 224*p**2 + 3359*p + 5832. Let g(i) = -4*i**3 - 56*i**2 - 840*i - 1458. Let o(c) = -22*g(c) - 6*n(c). Factor o(a).
-2*(a + 2)*(a + 27)**2
Let n(s) = -s**2 + 64*s - 1227. Let g(k) = -3*k - 49 - 26 + 74. Let x(a) = -2*g(a) + n(a). Factor x(c).
-(c - 35)**2
Let v(z) be the first derivative of 75*z**2 - 5*z + 45 - 145/3*z**3. Suppose v(g) = 0. What is g?
1/29, 1
Let n = -3151 + 3151. Let v(l) be the third derivative of 0*l - 1/21*l**7 + 1/6*l**5 + 5/336*l**8 + 0 + n*l**3 + 7*l**2 - 1/24*l**6 + 0*l**4. Factor v(c).
5*c**2*(c - 2)*(c - 1)*(c + 1)
Let i be 2/40*(520/(-24) + 22). Let q(s) be the third derivative of 1/6*s**4 - 2/3*s**3 + 0*s + 0 - i*s**5 - 20*s**2. Factor q(h).
-(h - 2)**2
Let r(d) = 5*d**3 + 37*d**2 + 46*d + 40. Let a(y) = 237*y + 36*y**2 - 189*y - 7*y**3 + 40 + 6*y**3 + 6*y**3. Let m(f) = 7*a(f) - 6*r(f). Factor m(z).
5*(z + 2)**3
Let h(g) = 23*g**3 + 364*g**2 - 7*g - 7. Let o(r) = 19*r**3 + 372*r**2 - 6*r - 6. Let x(z) = 6*h(z) - 7*o(z). Factor x(p).
5*p**2*(p - 84)
Let c(d) be the first derivative of -d**6/120 - 61*d**5/160 + 3*d**4/2 - 5*d**3/3 + 5*d**2/2 + 214. Let u(g) be the third derivative of c(g). Factor u(s).
-3*(s + 16)*(4*s - 3)/4
Let k(z) be the first derivative of -3*z**7/560 - 19*z**6/480 - z**5/40 + 5*z**4/8 - z**3/3 + 27*z - 3. Let j(h) be the third derivative of k(h). Factor j(s).
-3*(s + 2)**2*(6*s - 5)/4
Let c = 221 - 126. Let p = c - 77. Find m, given that 10*m**5 - 20 + 5*m**3 + 65*m**2 - 5*m**5 - 20 - 10*m - 7*m**4 - p*m**4 = 0.
-1, 1, 2, 4
Let x(h) be the second derivative of -h**5/80 + h**4/6 + 139*h**3/24 + 119*h**2/4 + 12136*h. Let x(y) = 0. What is y?
-7, -2, 17
Determine d, given that 16*d + 200 - 2/5*d**2 = 0.
-10, 50
Let u(f) = -f**2 + f + 1. Let q(d) = -d**3 + 11*d**2 - 46*d + 3. Suppose 8*i - 48 = 2*i. Let z be ((-9)/(-36))/(2/i). Let h(y) = z*q(y) - 3*u(y). Factor h(l).
-l*(l - 7)**2
Let y = 92757/13 - 7139. Let j = 163/39 + y. Determine c, given that 8/3*c - 16/3 - j*c**2 = 0.
4
Let p(v) = 5*v**3 - 7*v**2 - v. Let x(k) = -122*k**3 + 18*k**2 - 15*k - 1. Let m(r) = -14*p(r) - x(r). Suppose m(y) = 0. Calculate y.
-1, -1/2, -1/26
Let p(c) be the third derivative of 67*c**5/12 - 5*c**4/6 - 3597*c**2. Find x, given that p(x) = 0.
0, 4/67
Suppose 0 - 5/7*l**5 - 64/7*l**4 + 32/7*l + 243/7*l**3 - 206/7*l**2 = 0. Calculate l.
-16, 0, 1/5, 1, 2
Let d(t) be the first derivative of 20*t**3 - 15 + 1/2*t**4 + 0*t + 0*t**2. Suppose d(p) = 0. What is p?
-30, 0
Let x be (-160820)/(-4386) - 108/3. Factor -8/3 - x*h**2 + 10/3*h.
-2*(h - 4)*(h - 1)/3
Let m(l) = -22*l - 352. Let k be m(-16). Let s(j) be the third derivative of 1/90*j**6 + 1/45*j**5 - 8/9*j**3 + 12*j**2 - 2/9*j**4 + 0*j + k. Factor s(x).
4*(x - 2)*(x + 1)*(x + 2)/3
Let w(o) be the second derivative of -82*o - 9/2*o**2 + 2/3*o**4 - 7/2*o**3 + 0. Factor w(l).
(l - 3)*(8*l + 3)
Let x(t) be the third derivative of -t**8/1680 - t**7/525 + 8*t**2 + 216*t + 1. Factor x(a).
-a**4*(a + 2)/5
Let l(d) = -45*d**3 - 7638*d**2 - 1623090*d - 1078602. Let q(x) = -2*x**3 - x + 3. Let z(c) = l(c) - 18*q(c). Find o, given that z(o) = 0.
-424, -2/3
Let d(z) = -12*z**2 - 1138*z + 190. Let h be d(-95). Find x such that 17/3*x + h - 1/3*x**2 = 0.
0, 17
Let f(h) be the second derivative of -h**5/120 - 19*h**4/72 - 17*h**3/18 - 799*h. Factor f(k).
-k*(k + 2)*(k + 17)/6
Let x(c) be the first derivative of c**4/20 - 17*c**3/15 + 19*c**2/2 - 35*c - 1461. Factor x(m).
(m - 7)*(m - 5)**2/5
Let b(y) be the first derivative of -5*y**4/4 - 55*y**3/3 + 35*y**2 + 120*y + 2538. Factor b(n).
-5*(n - 2)*(n + 1)*(n + 12)
Let a(c) be the first derivative of 3*c**4/4 + 19*c**3 + 24*c**2 - 108*c - 84. Factor a(r).
3*(r - 1)*(r + 2)*(r + 18)
Let q(s) = 2*s - 11. Let g be q(8). Suppose 2 = -2*l, -7 = -k - g*l + 8. Factor -5*x**3 + k*x**2 + 32*x + 9*x**3 + 15 + 1.
4*(x + 1)*(x + 2)**2
Suppose -17*b = -26*b - 2016. Let y = -224 - b. Solve 0*f + y - 2/5*f**2 = 0.
0
Suppose -3*c - 5 = 49. Let k be 1*5/30*c/(-4). Factor -k - 3/2*a**4 - 27/4*a**2 - 21/4*a**3 - 15/4*a.
-3*(a + 1)**3*(2*a + 1)/4
Let m(r) be the third derivative of 4355/108*r**4 + 0*r + 4225/27*r**3 + 301*r**2 + 131/270*r**5