 second derivative of 0 - 1/5*k**5 - 2/3*k**4 + 0*k**2 + 2/15*k**6 + 0*k**3 + 4*k. Determine t, given that x(t) = 0.
-1, 0, 2
Determine a, given that 4/7*a**4 - 80/7*a + 20/7*a**3 + 0 - 16/7*a**2 = 0.
-5, -2, 0, 2
Let s be -20 - -15 - 94/(-30). Let u = s + 11/5. Find g such that 0 + 1/3*g**2 - u*g = 0.
0, 1
Let m(h) be the second derivative of -h**6/360 + h**5/60 + h**4/72 - h**3/6 + 21*h**2/2 + 32*h. Let n(t) be the first derivative of m(t). Factor n(c).
-(c - 3)*(c - 1)*(c + 1)/3
Let p(n) be the third derivative of -n**5/12 + 5*n**4/24 + 5*n**3/3 + n**2 + 41*n. Factor p(k).
-5*(k - 2)*(k + 1)
Let n(o) be the first derivative of 4*o**7/945 - o**5/90 - o**4/108 - 3*o**2 - 14. Let i(k) be the second derivative of n(k). Find q, given that i(q) = 0.
-1/2, 0, 1
Let j(m) be the second derivative of 2*m**7/21 - 2*m**6 + 10*m**5 - 70*m**4/3 + 30*m**3 - 22*m**2 + 158*m + 2. Factor j(x).
4*(x - 11)*(x - 1)**4
Determine r so that -25/7 - 1/7*r**3 - 23/7*r**2 + 7*r = 0.
-25, 1
Let n(j) be the first derivative of 2*j**3/15 + 22*j**2/5 - 46*j/5 + 28. Factor n(l).
2*(l - 1)*(l + 23)/5
Suppose 2*g + 4*z + 452 = 440, -20 = -4*g + 3*z. Let 0 + 0*q + 3/2*q**3 - 9/2*q**g = 0. What is q?
0, 3
Let t(u) = -u**2 + 9*u - 14. Let b be t(6). Factor -4*r**3 + b*r**3 - 3*r + 3*r**3.
3*r*(r - 1)*(r + 1)
Factor -1/2*d**2 + 1/4*d**5 + 9/4*d - 5/2*d**3 - 3/4*d**4 + 5/4.
(d - 5)*(d - 1)*(d + 1)**3/4
Let d(q) be the second derivative of -q**6/25 - 13*q**5/50 + 16*q**4/15 + 4*q**3/5 - q - 124. Find i such that d(i) = 0.
-6, -1/3, 0, 2
Solve -16/19 + 1044/19*z**2 + 810/19*z**3 + 312/19*z = 0 for z.
-2/3, 2/45
Let a be (-2)/(-7) - (2 + 300/(-28)). Find c, given that 7*c**4 - 6 + 8*c**2 - 2*c**2 + 12*c**3 - a*c - 3*c**5 - 7*c**4 = 0.
-1, 1, 2
Determine h, given that 86*h + 129*h + 124*h**2 - 23*h**3 - h**5 + 100 + 25*h**3 - 8*h**4 = 0.
-5, -1, 4
Factor -5*o**4 - 4*o**3 - 55*o - 37*o**3 + 55*o**2 - 4*o**3 + 50*o**2.
-5*o*(o - 1)**2*(o + 11)
Let n(d) be the third derivative of d**5/330 + d**4/132 - 20*d**3/33 - 52*d**2. Factor n(m).
2*(m - 4)*(m + 5)/11
Factor -38/3 - 17/3*f + 20/3*f**2 - 1/3*f**3.
-(f - 19)*(f - 2)*(f + 1)/3
Let c(q) = q**2 + q + 1. Let b(w) = 6*w**2 + 21*w + 70. Let j(l) = b(l) - 5*c(l). Let r be j(-9). Factor -8/11*o**r + 6/11 - 2*o.
-2*(o + 3)*(4*o - 1)/11
Factor -2/11*r**3 - 70/11*r**2 + 0 - 12*r.
-2*r*(r + 2)*(r + 33)/11
Let b(j) be the first derivative of -j**5/20 - j**4/12 - 5*j - 14. Let z(n) be the first derivative of b(n). Factor z(k).
-k**2*(k + 1)
Let f be (12805/(-200))/13 + (-15)/(-3). Let k(d) be the second derivative of 0*d**2 + 0*d**3 - 1/40*d**6 - f*d**5 - 1/16*d**4 + 2*d + 0. Factor k(i).
-3*i**2*(i + 1)**2/4
Let p(c) be the third derivative of 5*c**8/336 - c**7/21 - c**6/8 + 2*c**5/3 - 5*c**4/6 - 6*c**2 - 3. Determine n, given that p(n) = 0.
-2, 0, 1, 2
Let i(b) be the first derivative of -3*b**5 - 25*b**4/6 - 5*b**3/9 - 390. Factor i(r).
-5*r**2*(r + 1)*(9*r + 1)/3
Let u(h) be the second derivative of h**6/8 - h**5/8 - 5*h**4/3 - 35*h**3/12 - 15*h**2/8 - 12*h. Suppose u(r) = 0. Calculate r.
-1, -1/3, 3
Suppose 5*q - 25 = 2*l, -10*l = -5*l + 3*q - 15. Suppose 7*z - 8 + 8 = l. Factor -m**2 + z - 3/5*m**3 - 2/5*m.
-m*(m + 1)*(3*m + 2)/5
Let h be (-3 + 4)*0/1. Let l(b) be the third derivative of 0 - 1/20*b**5 + h*b**4 - 4*b**2 + 0*b + 1/2*b**3. Determine i, given that l(i) = 0.
-1, 1
Suppose 0 = -3*p + 11*p - 1784. Factor -p*j**2 + 220*j**2 - 2*j + 8*j.
-3*j*(j - 2)
Let f = 24 + -22. Suppose -f*u = -11*u. Suppose -3*s**2 + u - 3 + 6*s - 2*s**2 + 2*s**2 = 0. What is s?
1
Let y(r) be the second derivative of r**5/50 - r**4/10 - 48*r**3/5 - 108*r**2 - 714*r. Factor y(n).
2*(n - 15)*(n + 6)**2/5
Let f(b) be the second derivative of b**7/210 - b**6/45 - 53*b**3/6 - 2*b + 4. Let n(t) be the second derivative of f(t). Factor n(r).
4*r**2*(r - 2)
Let m(o) = o**3 + o**2 - 2. Let g(u) = -3*u**5 - 1650*u**4 - 363005*u**3 - 39930005*u**2 - 2196150000*u - 48315299990. Let d(p) = g(p) + 5*m(p). Factor d(a).
-3*(a + 110)**5
Let r(v) be the third derivative of -v**5/30 + 16*v**4/3 - 21*v**3 - 267*v**2. Factor r(x).
-2*(x - 63)*(x - 1)
Let r(j) be the second derivative of -j**6/180 + j**5/12 - 115*j. What is b in r(b) = 0?
0, 10
Let l = 44089/65 + -7224/13. Factor -36/5 - l*u**2 + 322/5*u**3 - 49/5*u**4 + 276/5*u.
-(u - 3)**2*(7*u - 2)**2/5
Suppose -8*z + 284 = -52. Let q be ((-24)/z)/(-2 - (-11)/7). Determine c so that 8/3*c**3 + 0 + 5/3*c**4 - q*c**2 + 0*c = 0.
-2, 0, 2/5
Suppose -5*c - 3*k - k = -5, -3*c = 3*k - 3. Let m be (c - -4)*21/35. Suppose 5*q**2 - 2*q + m*q - 3*q - 2*q**3 - q**2 = 0. Calculate q.
0, 1
Suppose 0 = 3*a - 43 - 5. Solve a - 6*v + 14*v + 13*v + 4*v**2 - v = 0 for v.
-4, -1
Let c(m) be the third derivative of 0 + 0*m + 1/135*m**5 + 0*m**4 - 1/27*m**3 - 6*m**2 + 0*m**6 - 1/945*m**7. Determine q so that c(q) = 0.
-1, 1
Let i be 127/(-6)*6*(-3)/9. Let w = -499/12 + i. Factor -w*c**2 + 9/4 - 3/2*c.
-3*(c - 1)*(c + 3)/4
Let i(o) be the third derivative of -o**7/1470 - o**6/840 + o**5/70 + 23*o**2 + 1. Factor i(c).
-c**2*(c - 2)*(c + 3)/7
Let y(v) be the second derivative of 5/18*v**4 + 7*v + 7/9*v**3 + 1/30*v**5 + v**2 + 0. Factor y(b).
2*(b + 1)**2*(b + 3)/3
Let n(q) be the third derivative of -q**6/60 + 109*q**5/30 + 221*q**4/12 + 37*q**3 + 12*q**2 - 32*q. Factor n(z).
-2*(z - 111)*(z + 1)**2
Let q(i) be the second derivative of -3*i**7/98 + i**6/14 + 129*i**5/140 + 39*i**4/28 - 8*i**3/7 - 30*i**2/7 + 163*i + 1. Solve q(h) = 0.
-2, -1, 2/3, 5
Let r = -1139 - -7979/7. Let t(j) be the first derivative of 8/7*j**3 - 24/35*j**5 + 75/28*j**4 + 0*j - 2 - 3/2*j**6 - r*j**2. Find b such that t(b) = 0.
-1, -2/3, 0, 2/7, 1
Suppose 28*k**3 - 12*k - 2*k**2 - 12*k + 23 + 41 - 4*k**4 - 46*k**2 + 8*k = 0. Calculate k.
-1, 2, 4
Let x be (-33)/((-2*1/(-2))/(-1)). Let g = x - 421/13. Let -g*z**4 + 0*z - 10/13*z**3 - 4/13*z**2 + 0 - 2/13*z**5 = 0. Calculate z.
-2, -1, 0
Factor -24/5*t**3 + 0 + 144/5*t + 12/5*t**2 + 3/5*t**4.
3*t*(t - 6)*(t - 4)*(t + 2)/5
Solve 36*n**2 + 44*n**4 + 21*n**3 - 97*n**3 + 17*n**5 - 21*n**5 = 0 for n.
0, 1, 9
Let h(n) be the first derivative of -n**4/2 - 16*n**3/3 - 20*n**2 - 32*n + 223. Let h(g) = 0. Calculate g.
-4, -2
Let s be 56/40 - (-3)/5. Find n such that -23*n**2 - 13*n**s - 25*n**3 - 12*n**3 + 4*n**4 + 5*n**3 = 0.
-1, 0, 9
Let t = 209 + 122. Factor 331 + 2*o - 2*o**2 - t.
-2*o*(o - 1)
Let r(y) be the third derivative of y**8/1344 - y**7/840 + y**5/4 - 37*y**2. Let i(u) be the third derivative of r(u). Solve i(l) = 0.
0, 2/5
Let y(a) be the first derivative of a**4 - a**3 + 128. Solve y(j) = 0 for j.
0, 3/4
Let l(k) be the second derivative of 343*k**6/10 - 1764*k**5/5 + 462*k**4 - 256*k**3 + 72*k**2 + 3*k - 156. Factor l(j).
3*(j - 6)*(7*j - 2)**3
Let f(z) be the third derivative of z**7/210 - z**6/40 + z**5/20 - z**4/24 + 15*z**2 + 1. Factor f(j).
j*(j - 1)**3
Suppose -q - 4*l = -5*q + 16, -2*q = 4*l + 16. Let h(b) be the first derivative of q*b + 1/12*b**3 - 3/8*b**2 + 3. Factor h(n).
n*(n - 3)/4
Let r = 1/255 - -6883/510. Let s(i) be the first derivative of -16*i**3 - 18/5*i**5 - 21/2*i**4 - 7 - 1/2*i**6 - r*i**2 - 6*i. Factor s(j).
-3*(j + 1)**4*(j + 2)
Suppose -7 = 4*r + 3*m, 3*m = r - 8 - 9. Suppose c + r*c - 42 = 0. Factor -c + 8*z + 14 - 4*z**2.
-4*z*(z - 2)
Suppose -64/9*r**2 + 128/9 + 2/9*r**5 + 8/9*r**4 + 32/9*r - 16/9*r**3 = 0. What is r?
-4, -2, 2
Let u(p) be the first derivative of 0*p - 11 + 0*p**2 - 1/22*p**4 + 0*p**3. Factor u(t).
-2*t**3/11
Let d(x) = -2*x**3 - x**2 - 5*x + 3. Let w(i) = -3*i**3 + 3*i**2 - 11*i + 3*i**2 + 5 - 7*i**2. Let b(r) = 5*d(r) - 3*w(r). Solve b(c) = 0.
-4, 0, 2
Let c(s) be the second derivative of s**7/70 - 2*s**6/25 + 9*s**5/100 + s**4/5 - 2*s**3/5 + 5*s + 31. Solve c(a) = 0.
-1, 0, 1, 2
Let r(v) be the first derivative of 0*v**2 + 0*v + 2 - 1/11*v**4 + 0*v**3 - 2/5*v**5. Factor r(z).
-2*z**3*(11*z + 2)/11
Find o, given that 108*o**2 - 7 - 110*o**2 - 18 + 1 + 16*o = 0.
2, 6
Let p = -67 - -77. Let z = p - 66/7. What is n in 4/7*n - 10/7*n**4 + 10/7*n**2 + 0 - z*n**3 = 0?
-1, -2/5, 0, 1
Let w = -87 + 64. Let i = w + 23. Factor -2/9*f**3 - 2/9*f + i - 4/9*f**2.
-2*f*(f + 1)**2/9
Let 3*r**2 + 87 + 245*r - 335*r + 0*r**2 = 0. What is r?
1, 29
Let i(h) be the third derivative of h**5/12