 + 17*a**2. Let p(x) be the second derivative of j(x). Let p(s) = 0. What is s?
0, 2
Let q(h) be the third derivative of 17*h**4/12 - 65*h**3/3 + 17*h**2. Let a(n) = n**2 + 137*n - 521. Let i(j) = 4*a(j) - 18*q(j). Solve i(b) = 0.
8
Let r(q) = 70*q**2 - 420*q + 685. Let y(h) = -25*h + 5*h**2 - 5*h - 23 + 72. Let b(n) = -4*r(n) + 55*y(n). Determine c, given that b(c) = 0.
3
Let u(v) be the third derivative of -v**9/15120 - v**8/6720 - v**4/24 - 12*v**2. Let j(q) be the second derivative of u(q). Determine w so that j(w) = 0.
-1, 0
Let t(f) be the third derivative of f**5/120 + f**4/48 - 491*f**2. Factor t(o).
o*(o + 1)/2
Let q(i) be the second derivative of -i**5/4 - 20*i**4/3 - 75*i**3/2 + 405*i**2 - 28*i + 2. Factor q(m).
-5*(m - 2)*(m + 9)**2
Suppose 8*v + 112*v - 54*v**2 - 75*v**3 + 3*v**5 + 2*v**5 + 4*v**2 = 0. Calculate v.
-3, -2, 0, 1, 4
Let h be (3/(-9) - -2)/1. Let i = h - 19/15. Factor 3/5*o - i - 1/5*o**2.
-(o - 2)*(o - 1)/5
Let i(u) be the third derivative of u**6/40 - 3*u**5/10 - 15*u**4/8 - 4*u**3 - 6*u**2 - 12. Factor i(l).
3*(l - 8)*(l + 1)**2
Let w be (0 - -5)/(407/74). Let f(y) be the first derivative of -2/33*y**3 - 12 - w*y**2 - 50/11*y. Factor f(z).
-2*(z + 5)**2/11
Let w(q) be the second derivative of -2 + 35/6*q**3 + 25/12*q**4 + 1/4*q**5 + 15/2*q**2 - 4*q. What is h in w(h) = 0?
-3, -1
Let d(c) be the third derivative of -c**7/840 + c**6/96 - c**5/60 - 831*c**2. Factor d(j).
-j**2*(j - 4)*(j - 1)/4
Suppose 2 = -0*p + p. Let n = 1/157 + 307/1099. Factor 44/7*v**3 + 26/7*v**4 + 36/7*v**p + 6/7*v**5 + n + 2*v.
2*(v + 1)**4*(3*v + 1)/7
Let 1/7*d**3 + 1/7*d**5 + 0 - 4/7*d**4 + 6/7*d**2 + 0*d = 0. What is d?
-1, 0, 2, 3
Let o(n) be the second derivative of 3/5*n**4 + 0*n**2 + 0 - 2/5*n**3 - 2*n - 27/100*n**5. Suppose o(v) = 0. What is v?
0, 2/3
Factor -5/3*i**3 + 2/3 + 16/3*i**2 - 13/3*i.
-(i - 2)*(i - 1)*(5*i - 1)/3
Factor -4/5*k**2 + 18/5 + 1/5*k**3 - 3/5*k.
(k - 3)**2*(k + 2)/5
Let b(j) be the third derivative of j**5/15 + 59*j**4/3 + 6962*j**3/3 + 105*j**2 + 2. Find p such that b(p) = 0.
-59
Factor -18*a**2 - 111*a + 13*a**2 - 44*a + 160.
-5*(a - 1)*(a + 32)
Factor 2/13*m**3 - 16/13*m + 10/13*m**2 - 96/13.
2*(m - 3)*(m + 4)**2/13
Let 51/4*n**2 + 0 - 1/4*n**3 - 25/2*n = 0. What is n?
0, 1, 50
Let x(k) = k**3 - 3*k**2 + 4*k - 5. Let i be x(3). Find w, given that -w**2 + i*w**5 - 3*w**5 + w**4 + w**3 - 5*w**3 + 0*w**4 = 0.
-1, -1/4, 0, 1
Solve 104 - 8218*v**3 + 4618*v**2 + 5190*v**4 - 414*v + 716*v**5 - 266*v**5 - 722*v = 0.
-13, 1/3, 2/5
Suppose -5*k - 45 = -b, -2*b - k = -2*k - 54. Let j = 101/4 - b. Suppose j*a + 0 - 1/4*a**2 = 0. Calculate a.
0, 1
Suppose 7*g + 2*g = -5*g. Let j(l) be the third derivative of 1/105*l**7 + 0*l**3 + 0*l**4 + g + 1/60*l**6 - 3*l**2 + 0*l + 0*l**5. Factor j(n).
2*n**3*(n + 1)
Let k(t) be the second derivative of -t**7/42 + 2*t**6/15 + t**5/4 + 2*t - 6. Determine c so that k(c) = 0.
-1, 0, 5
Let u be 17/35 + 4/(-14). Suppose -958 = k - 960. Factor -2/5 + 1/5*h**k - u*h.
(h - 2)*(h + 1)/5
Let x(g) be the third derivative of g**8/294 - 13*g**7/105 + 13*g**6/84 + 11*g**5/105 + 31*g**2 + 3. Find y such that x(y) = 0.
-1/4, 0, 1, 22
Let x(i) be the first derivative of i**8/112 - i**7/70 - i**6/40 + i**5/20 - 15*i**2/2 + 25. Let g(y) be the second derivative of x(y). Factor g(b).
3*b**2*(b - 1)**2*(b + 1)
Find f such that -4/3*f**4 + 1/3*f + 0 + 0*f**3 + f**2 = 0.
-1/2, 0, 1
Let m(c) be the second derivative of -1/60*c**5 + 1/36*c**4 + 1/9*c**3 - 10*c + 0 + 0*c**2. Let m(s) = 0. What is s?
-1, 0, 2
Suppose 4*x - 5*c + 122 = -0*x, 3*c = 5*x + 146. Let m = x - -28. Determine l so that -8*l + 4 + 8*l**2 + m*l**2 - 4*l**2 = 0.
1
Let l = -339/7 - -49. Let 0 + 2/7*z**3 - l*z - 2/7*z**2 = 0. What is z?
-1, 0, 2
Let r(n) be the first derivative of 0*n**2 + 5/2*n**4 + 0*n + n**5 - 3 + 5/3*n**3. Factor r(t).
5*t**2*(t + 1)**2
Factor -92 + 2*v**2 + 36 + 108*v - 56 + 2*v**2.
4*(v - 1)*(v + 28)
Let o(y) be the third derivative of y**7/5040 - y**6/144 + 5*y**5/48 - y**4/6 + 10*y**2. Let v(i) be the second derivative of o(i). Let v(u) = 0. What is u?
5
Let x be (7/9 + 93/(-93))*(-27)/60. Factor 0*g + 0 - 1/5*g**2 - x*g**3.
-g**2*(g + 2)/10
Let h be 7 - (36/60)/((-6)/(-50)). Find v, given that -1/5*v**5 - 13/5*v - 3/5 - 22/5*v**h - 7/5*v**4 - 18/5*v**3 = 0.
-3, -1
Let z be -9 - 99/(9 - 18). Let b(d) be the first derivative of 1/6*d**3 - 5/4*d**2 + 2*d - z. Factor b(n).
(n - 4)*(n - 1)/2
Let h = 34 + -30. Factor -4*b**2 + 6 - 2 + h*b - 4.
-4*b*(b - 1)
Let i be (-7)/36 - 416/(-936). Suppose -i*u**2 + 1/2*u - 1/4 = 0. What is u?
1
Factor -6 + 5 - h**2 + 3*h**2 - h**2.
(h - 1)*(h + 1)
Let m be 1*((-3)/18 + (-203)/42). Let f be m/(-20) + (-381)/(-60). Let -f*s**3 + 0 + 6/5*s + 27/5*s**2 = 0. Calculate s.
-2/11, 0, 1
Let s = 32 - 30. Let -5*p**3 + 22*p**s + p**3 + 50 - 70*p + p**3 + p**3 = 0. What is p?
1, 5
Let c(n) be the first derivative of -n**4/8 + 2*n**3/3 - n**2/4 - 3*n - 113. Factor c(y).
-(y - 3)*(y - 2)*(y + 1)/2
Factor -129*s - 53*s - s**2 - 3*s**2 - 144 + 330*s.
-4*(s - 36)*(s - 1)
Suppose 16*d - 3*d**2 + 1/2*d**4 - 5/2*d**3 + 16 = 0. Calculate d.
-2, -1, 4
Let j(b) be the third derivative of 5*b**8/336 - b**7/14 - b**6/12 + b**5 - 5*b**4/3 + 89*b**2. Find g, given that j(g) = 0.
-2, 0, 1, 2
Suppose -4 = c, 0*r - 2*r = 4*c + 10. Suppose g - 4*g + r*w = 0, 5*w - 4 = 3*g. Factor -2*f + 5*f + 2*f**g - f**2 + 2*f**2.
3*f*(f + 1)
Suppose -14*l + 36 = -2*l. Let d(g) be the first derivative of 5/2*g**4 + 0*g**3 - l - 4/5*g**5 + 4*g - 5*g**2. What is n in d(n) = 0?
-1, 1/2, 1, 2
Let b(x) be the third derivative of 5*x**2 + 0*x + 0 + 1/30*x**5 + 1/2*x**4 + 5/3*x**3. Factor b(a).
2*(a + 1)*(a + 5)
Factor -43/5*d - 1/5*d**4 - 6 + 3/5*d**2 + 3*d**3.
-(d - 15)*(d - 2)*(d + 1)**2/5
Let y(d) be the second derivative of -d**6/30 - d**5/20 + 7*d**4/12 + 13*d**3/6 + 3*d**2 + 7*d. Suppose y(c) = 0. What is c?
-2, -1, 3
Suppose 0 = 4*k - 3*v + 12, 15*k - 16*k - 5*v + 20 = 0. Solve 0*n - 1/6*n**3 - 1/6*n**2 + k = 0 for n.
-1, 0
Let v be 499 + -492 + (-4 - -2) + -3. Find u, given that 2/3*u - 1/3 + 0*u**v + 1/3*u**4 - 2/3*u**3 = 0.
-1, 1
Suppose 50/7*z + 22/7*z**3 - 2/7*z**4 + 0 - 10*z**2 = 0. What is z?
0, 1, 5
Let y(l) be the first derivative of -1/22*l**4 + 0*l**3 + 0*l + 6 + 0*l**2. Factor y(t).
-2*t**3/11
Suppose 0 = -5*b - 2*a + 23, 0*b - 5*a + 35 = 5*b. Let q(l) = 6*l - 15. Let i be q(b). Factor 0 - 1/2*o**2 + 1/4*o + 1/4*o**i.
o*(o - 1)**2/4
Suppose 3*u - 20 = -2*u. Suppose -u*r = -4 - 4. Factor c**2 - 7*c + 5*c + 4 + 4*c**3 - 2*c - 5*c**r.
4*(c - 1)**2*(c + 1)
Let w(n) be the third derivative of n**5/270 - n**4/6 - 12*n**2 + 2. Factor w(t).
2*t*(t - 18)/9
Let y(j) be the first derivative of j**4/3 + 25*j**3/3 + 173*j**2/6 - 16*j + 643. Solve y(q) = 0.
-16, -3, 1/4
Let u(i) be the third derivative of -i**8/616 - 4*i**7/1155 + 7*i**6/330 - 2*i**5/165 - i**4/44 + 11*i**2 - 12. Determine x, given that u(x) = 0.
-3, -1/3, 0, 1
Let i(s) be the first derivative of s**6/75 + 3*s**5/25 + 2*s**4/5 + 2*s**3/3 + 3*s**2/5 - 49*s + 21. Let p(c) be the first derivative of i(c). Factor p(o).
2*(o + 1)**3*(o + 3)/5
Factor 3/7*c**2 + 15/7 + 18/7*c.
3*(c + 1)*(c + 5)/7
Let f(n) be the third derivative of -n**7/105 + n**6/30 + n**5/10 - 2*n**4/3 + 4*n**3/3 - 48*n**2. Let f(g) = 0. Calculate g.
-2, 1, 2
Let -49/2*w - 221/4*w**2 - 41/2*w**3 - 7/4*w**4 + 12 = 0. Calculate w.
-8, -3, -1, 2/7
Let l(i) = 3*i - 1. Let a(u) = u**2 + 43*u - 26. Let d(j) = -2*a(j) + 18*l(j). Determine s, given that d(s) = 0.
-17, 1
Let o(t) = -t**2 + t + 1. Let d(u) be the second derivative of u**4/12 - 13*u**3/6 + 7*u**2/2 - 10*u. Let i(z) = d(z) + 5*o(z). Factor i(c).
-4*(c - 1)*(c + 3)
Let c = 25643 - 25643. Factor -3/5*p**2 + 2/5*p + c + 1/5*p**3.
p*(p - 2)*(p - 1)/5
Let f be (-9)/3 - (50 - 4)/(-2). Let o be (-10)/f*5/((-15)/2). Determine z so that -z**2 + 2/3*z + o = 0.
-1/3, 1
Suppose 0 = 19*x + 10*x - 58. Let k be 2 + (1 - (-1 + 1)). Factor 3/2*v**x + 0 - 1/2*v**k - v.
-v*(v - 2)*(v - 1)/2
Let o(b) be the first derivative of -2*b**3/3 + 6*b**2 + 63. Let o(k) = 0. What is k?
0, 6
Let w(a) be the first derivative of 12*a**5 + 115/4*a**4 + 65/3*a**3 + 30 + 0*a + 5*a**2. Let w(f) = 0. What is f?
-1, -2/3, -1/4, 0
Let d(h) be the third derivative of -h**5/60 + 7