hat is x in 59*x**3 - 6*x**3 - 12*x - 28*x**3 + 95 + 457 - 138*x**2 - 22*x**3 = 0?
-2, 2, 46
Let q(z) be the third derivative of -5*z**8/2184 - 148*z**7/1365 - 15*z**6/52 + 7277*z**5/195 - 1444*z**4/39 - 6*z**2 - z + 26. Let q(y) = 0. Calculate y.
-19, 0, 2/5, 8
Let l(b) be the third derivative of 2 - 17*b**2 + 1/3*b**4 + 4/3*b**3 + 1/30*b**5 + 0*b. What is d in l(d) = 0?
-2
Factor 3*k**2 + 1370*k**3 - 3*k**2 - k**5 - 23397*k**4 + 22028*k**4.
-k**3*(k - 1)*(k + 1370)
Let p(x) be the first derivative of x**7/3360 - x**6/120 + 11*x**5/480 + 14*x**3/3 + x - 105. Let u(y) be the third derivative of p(y). Let u(g) = 0. What is g?
0, 1, 11
Suppose 5*t = 82 - 17. Suppose -2*d + j + 10 = 0, 0 = -15*d + t*d - 2*j - 2. Find h such that 8/3*h + 4*h**2 + 0 + 2*h**d + 1/3*h**4 = 0.
-2, 0
Let n(x) be the third derivative of -1/135*x**5 + 1/60*x**6 + 0*x + 0*x**4 + 0*x**3 + 0 + 68/945*x**7 + 180*x**2. Factor n(s).
2*s**2*(4*s + 1)*(17*s - 2)/9
Let o(x) be the third derivative of -x**7/735 - 89*x**6/60 - 62*x**5/21 + 311*x**4/21 + 12802*x**2. Find l, given that o(l) = 0.
-622, -2, 0, 1
Suppose 18 + 1 = 19*u. Suppose 2*p - u = -i + 3*p, 5*i + 2*p = 26. Suppose 2*x**5 + 35*x**i - 17*x**4 - 16*x**4 + 4*x - 2*x**2 - 6*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let z(a) be the second derivative of a**6/45 - 47*a**5/30 + 23*a**4/6 + 5*a**3/6 + 11*a**2/2 - 138*a. Let f(y) be the second derivative of z(y). Factor f(m).
4*(m - 23)*(2*m - 1)
Let w(x) be the first derivative of -x**7/5460 - x**6/390 - x**5/156 - x**3/3 + 5*x - 17. Let h(u) be the third derivative of w(u). Factor h(c).
-2*c*(c + 1)*(c + 5)/13
Let h(m) be the first derivative of -5*m**4/4 + 280*m**3/3 - 525*m**2/2 - 810*m - 12383. Factor h(y).
-5*(y - 54)*(y - 3)*(y + 1)
Factor 93/4*q**2 + 9/4*q**3 - 111*q + 63.
3*(q - 3)*(q + 14)*(3*q - 2)/4
Factor 223 - 10*y**3 - 92*y**2 + 320*y - 278 - 137.
-2*(y - 2)*(y + 12)*(5*y - 4)
Let k = -101/228 + 343/760. Let i(l) be the third derivative of 1/12*l**4 + 0 + 1/3*l**3 + 0*l + 31*l**2 + k*l**5. Factor i(o).
(o + 2)**2/2
Determine k so that 92/3*k + 2/3*k**5 - 94/3*k**3 - 30*k**2 + 30*k**4 + 0 = 0.
-46, -1, 0, 1
Factor -o + 26*o + 17*o**2 - 70 + 13*o**2 + o - 22*o**2.
2*(o + 5)*(4*o - 7)
Determine n, given that 13*n**2 - 1988*n - 1139*n**3 - 45*n**4 - 4*n**5 - 784 - 35*n**4 - 1709*n**2 + 571*n**3 = 0.
-7, -4, -1
Let n(u) be the third derivative of u**6/120 + 17*u**5/20 + 33*u**4 + 648*u**3 - 693*u**2 - 4. Factor n(j).
(j + 12)**2*(j + 27)
Let f(c) be the third derivative of -c**6/900 + 13*c**5/450 + 2*c**4/9 - 140*c**3/9 - 356*c**2. Suppose f(o) = 0. Calculate o.
-7, 10
Let x(o) be the third derivative of -1/160*o**6 + 2 + 37/80*o**5 + 7*o**2 + 0*o - 361/8*o**3 - 323/32*o**4. Factor x(p).
-3*(p - 19)**2*(p + 1)/4
Factor 1/2*h**4 + 0 - 5/2*h**3 + 3*h**2 + 0*h.
h**2*(h - 3)*(h - 2)/2
Let k be 560/21*243/(-12). Let u = k + 2421/4. Let -93/4*r**3 + u*r - 159/4*r**2 + 33/4*r**4 + 3*r**5 - 27/2 = 0. What is r?
-3, 1/4, 1, 2
Let p = -19 + 1. Let g be (p/8)/(-3 + (-90)/(-32)). Factor g*n**2 - 2*n**4 + 15 + 16*n - 18 + 9.
-2*(n - 3)*(n + 1)**3
Factor 290*r**2 + 0 + 1/2*r**3 + 42050*r.
r*(r + 290)**2/2
Suppose 6*o - 3*v - 90 = 0, -106*v + 109*v = 2*o - 62. Suppose o*r**3 - 4*r**4 - 29/4*r + 7/2 + 1/4*r**5 + 1/2*r**2 = 0. What is r?
-1, 1, 14
Let i(f) be the first derivative of -f**4/6 - 230*f**3/9 - 38*f**2 + 625. Let i(q) = 0. What is q?
-114, -1, 0
Let z be ((-18)/(-8))/(4*(-18)/(-192)). Let b(q) be the third derivative of 0*q - 1/420*q**z - q**2 - 1/210*q**5 + 0*q**4 + 0 + 0*q**3. Factor b(i).
-2*i**2*(i + 1)/7
Let w(s) be the second derivative of s**4/12 - 67*s**3/3 - 276*s**2 - 2*s - 124. Factor w(n).
(n - 138)*(n + 4)
Let n(a) = 10*a**5 - 105*a**3 - 230*a**2 - 220*a - 50. Let v(p) = -9*p**5 + p**4 + 105*p**3 + 231*p**2 + 216*p + 52. Let o(k) = -4*n(k) - 5*v(k). Factor o(f).
5*(f - 6)*(f + 1)**3*(f + 2)
Let u be ((252/(-490))/(-3))/(-3 + (-85)/(-25)). Suppose -90/7 + 51/7*a - u*a**2 = 0. Calculate a.
2, 15
Factor 269/3*w + 5/3 - 243*w**3 + 1197*w**2.
-(w - 5)*(27*w + 1)**2/3
Suppose -14 = -5*x + 3*a + 43, 2*x - 26 = -2*a. Suppose 52*u - 59*u + 14 = 0. Factor f**u - 15 - x*f + 2*f + 2*f**2 + 2*f**2.
5*(f - 3)*(f + 1)
Factor -254/13*g + 0 - 2/13*g**2.
-2*g*(g + 127)/13
Let t(z) = 14*z**3 - 18*z**2 - 288*z - 664. Let s(p) = -9*p**3 + 11*p**2 + 190*p + 443. Let v(w) = -8*s(w) - 5*t(w). Factor v(x).
2*(x - 7)*(x + 4)**2
Determine c so that 7*c**4 - 71*c**2 - c**5 + 0*c**4 + 8*c + 2*c**4 + 59*c**2 - 6*c**4 + 2*c**3 = 0.
-2, 0, 1, 2
Let u(i) = 18*i**2 + 48*i + 122. Let o(h) = -32*h**2 - 92*h - 245. Let c(r) = -4*o(r) - 7*u(r). Factor c(t).
2*(t + 7)*(t + 9)
Let k(c) be the first derivative of 23 + 17/16*c**4 - 5*c + 19/12*c**3 + 1/20*c**5 - 1/24*c**6 - 2*c**2. Find x such that k(x) = 0.
-2, -1, 1, 5
Let g be (-11902)/5410*5/(-44). Suppose -729/4 - 27/4*p**2 + g*p**3 + 243/4*p = 0. What is p?
9
Suppose -u + 16*q = 14*q - 7, -2*u - 3*q = 14. Let h be 46/10 - (u + 1 - -3). Let -h*b - 4/5 - 4/5*b**2 = 0. What is b?
-1
Let g(r) be the second derivative of 1/30*r**6 + 0*r**3 + 27*r + 1/10*r**5 + 1/12*r**4 + 0 + 0*r**2. Factor g(d).
d**2*(d + 1)**2
Solve -3849*t**2 - 3855*t**2 - 556*t + 7706*t**2 = 0.
0, 278
Let s = 409371/28 + -102264/7. Factor 1/4*c**3 + s*c - 25/2 - 3*c**2.
(c - 5)**2*(c - 2)/4
Let o(l) be the first derivative of -l**4/2 - 30*l**3 - 663*l**2 - 6422*l - 1270. Factor o(a).
-2*(a + 13)**2*(a + 19)
Let r be ((-12)/(-9) - 1)/((-3)/(-315)). Factor 103 + 4*k**2 - 32*k - r - 20.
4*(k - 6)*(k - 2)
Let n(b) be the first derivative of -9*b**5/20 + 1689*b**4/2 - 1270126*b**3/3 + 844500*b**2 - 562500*b + 648. Suppose n(k) = 0. What is k?
2/3, 750
Let u(m) be the first derivative of 0*m + 19/2*m**2 - 1/72*m**4 + 1/9*m**3 + 9 - 1/180*m**5. Let z(s) be the second derivative of u(s). Factor z(h).
-(h - 1)*(h + 2)/3
Let f = 7507/381 - 2460/127. Find b, given that -1/6*b**5 + 1/3*b**4 + 0*b + 1/6*b**3 + 0 - f*b**2 = 0.
-1, 0, 1, 2
Let n = -134 + 200. Let b = n - 63. Let -3*q + 7*q**2 - 28*q**3 - q**2 + 25*q**b = 0. What is q?
0, 1
Let g = -86 + 98. Let r = 4 + -1. Let -14*q**2 - g*q**2 + r*q**4 + 38*q**2 + 3 - 18*q**2 = 0. Calculate q.
-1, 1
Let z(c) be the second derivative of -c**6/30 + 13*c**5/60 - 11*c**4/24 + c**3/3 - 48*c**2 + 70*c. Let i(m) be the first derivative of z(m). Factor i(k).
-(k - 2)*(k - 1)*(4*k - 1)
Solve -78*o**4 + 1540*o - 1033*o**3 + 448*o**4 + 20*o**2 + 49*o**5 - 44*o**5 - 122*o**3 = 0 for o.
-77, -1, 0, 2
Let i = 184 - 1469/8. Let u(t) be the second derivative of 3/80*t**5 + i*t**3 - 1/4*t**4 + 7*t + 0*t**2 + 0. Factor u(j).
3*j*(j - 3)*(j - 1)/4
Let s(i) be the second derivative of -i**5/50 + 32*i**4/15 - 124*i**3/15 - 1133*i. Find f, given that s(f) = 0.
0, 2, 62
Let y(s) = 2*s**3 + 12*s**2 + 54*s + 81. Let m(b) = -b**3 + b**2 + 2*b - 1. Let d(t) = -2*m(t) - 2*y(t). Factor d(j).
-2*(j + 4)**2*(j + 5)
Suppose 14*j = 15*j + 2. Let u be (j/6)/((-276)/432). Let 2/23*w**5 + 26/23*w**3 + 0 - 24/23*w**2 + 8/23*w - u*w**4 = 0. What is w?
0, 1, 2
Let b(q) be the first derivative of -q**6/6 - 84*q**5/5 - 245*q**4/4 - 54*q**3 - 551. Factor b(g).
-g**2*(g + 1)*(g + 2)*(g + 81)
Let x = -754801 - -348717923/462. Let q = 5/154 - x. Suppose t**2 + q*t**3 + 2/3*t + 0 = 0. Calculate t.
-2, -1, 0
Let c = -1443449/5 + 288697. Factor -c*l + 2/5*l**2 + 162/5.
2*(l - 9)**2/5
Let b(x) = -5 + 3*x**2 - 273*x - x**2 + 276*x + 13. Let h(p) = -p**2 - 2*p - 4. Let l(u) = 2*b(u) + 5*h(u). Let l(d) = 0. Calculate d.
-2
Let v(p) be the second derivative of 5*p**4/48 - 160*p**3/3 + 1275*p**2/8 + 432*p. Factor v(g).
5*(g - 255)*(g - 1)/4
Let b(p) = -4*p**2 + 5843*p - 2125775. Let n(s) = -2*s**2 + 2922*s - 1062888. Let r(k) = -6*b(k) + 11*n(k). Factor r(d).
2*(d - 729)**2
Suppose -73*k + 278 = -12132. Find h such that -40 + 2328*h + 6*h**4 + 23*h**4 - 2324*h + 0*h**4 - 5*h**5 + 3*h**4 + 163*h**3 + k*h**2 = 0.
-2, -1, 2/5, 10
Let o(l) be the second derivative of l**5/14 + 2*l**4/21 - 31*l**3/21 + 6*l**2/7 + 757*l. Solve o(q) = 0 for q.
-3, 1/5, 2
Suppose 33*m - 15*m + 5 = 15*m + 2*p, -2*p + 14 = 0. Suppose 0 + 144/5*o**2 + 3/5*o**4 - 192/5*o + 9*o**m = 0. What is o?
-8, 0, 1
Let s = -45662 + 45662. Let -16/13*k**2 + s + 14/13*k**3 + 0*k + 2/13*k**4 = 0. What is k?
-8, 0, 1
What is m in 2/9*m**4