= 0. What is o?
0, 3
Let b(l) be the third derivative of l**8/26880 + l**7/1120 + l**6/192 - l**5/4 - 7*l**2. Let p(f) be the third derivative of b(f). Suppose p(x) = 0. What is x?
-5, -1
Let q(z) be the first derivative of z**6/180 + z**5/120 - z**4/72 - z**3/36 + 18*z - 18. Let d(y) be the first derivative of q(y). Factor d(v).
v*(v - 1)*(v + 1)**2/6
Let j(s) be the third derivative of 0 + 0*s + 1/90*s**6 + s**2 - 1/3*s**3 - 1/30*s**5 - 1/3*s**4. Let z(y) be the first derivative of j(y). Solve z(p) = 0.
-1, 2
Find q such that 10*q**3 - 12*q**3 + 13*q**2 - 33*q**2 = 0.
-10, 0
Let v(n) = 2*n + 7. Let l be v(-5). Let o be 2*(l + 2)*-1. Determine r, given that r**2 - 8 - 2*r**2 + 20*r + 11*r**o + 2*r**2 = 0.
-2, 1/3
Let u = -48942 - -733834/15. Let a = -58/3 - u. Factor -a*s**5 + 2/5*s**3 + 0 + 0*s**2 + 0*s**4 + 0*s.
-2*s**3*(s - 1)*(s + 1)/5
Let w(x) be the third derivative of -x**6/1080 + x**5/120 - x**4/36 - x**3/3 + 9*x**2. Let f(c) be the first derivative of w(c). Factor f(s).
-(s - 2)*(s - 1)/3
Let l(d) be the third derivative of d**6/120 - d**5/6 + 17*d**4/24 - 4*d**3/3 + 20*d**2 - d. Factor l(o).
(o - 8)*(o - 1)**2
Suppose -g - 2 = -5*q + 2*q, 4*g = -4*q + 24. Factor 104*u**3 - 100*u**3 - 6*u**q + 2*u**2.
4*u**2*(u - 1)
Let q(p) be the third derivative of 2/3*p**3 + 0*p**4 + 0*p - 1/480*p**5 + p**2 + 1/1440*p**6 + 0. Let r(n) be the first derivative of q(n). Factor r(x).
x*(x - 1)/4
Let f be 9/(36/16)*(-3)/(-6). Let k(z) be the second derivative of 4/5*z**5 + 8/15*z**6 + 0*z**f + 0 + 0*z**4 + 2/21*z**7 + 0*z**3 - 10*z. Factor k(o).
4*o**3*(o + 2)**2
Let x(v) be the first derivative of -v**4/14 + 68*v**3/7 - 3468*v**2/7 + 78608*v/7 - 88. Find r such that x(r) = 0.
34
Let q = -19 + 19. Suppose 3*m - 9 = -5*y + 2*y, 8 = 2*y + 4*m. Factor o + 1/2*o**4 + q*o**y - o**3 - 1/2.
(o - 1)**3*(o + 1)/2
Let w = -14 + 9. Let j(c) = -c. Let k(p) = 2*p**3 - 8*p**2 - 5*p. Let o(g) = w*j(g) + k(g). Factor o(u).
2*u**2*(u - 4)
Let y(x) be the second derivative of 7*x**5/100 + x**4/3 + 19*x**3/30 + 3*x**2/5 - x + 18. Determine p, given that y(p) = 0.
-1, -6/7
Determine y, given that 4*y + 6*y + 5*y + 3*y**2 - 3*y = 0.
-4, 0
Let f(r) be the third derivative of 2*r**7/189 + 23*r**6/540 + r**5/45 + 11*r**2 + 2. Solve f(d) = 0 for d.
-2, -3/10, 0
Let r(l) be the third derivative of 1/10*l**5 + 20*l**2 + 0*l - 3/8*l**4 - 1/120*l**6 + 0 + 0*l**3. What is j in r(j) = 0?
0, 3
Solve 128*o**2 - 2*o**3 + 3*o**3 - 126*o**2 + 12*o - 3*o**3 = 0 for o.
-2, 0, 3
Let m(o) be the first derivative of -o**9/16632 + o**8/4620 + o**7/4620 - o**6/990 - 7*o**3 + 3. Let b(u) be the third derivative of m(u). Solve b(c) = 0.
-1, 0, 1, 2
Let j(q) be the second derivative of q**5/4 - 10*q**3/3 - 10*q - 4. Suppose j(v) = 0. What is v?
-2, 0, 2
Factor -576/7*w**2 - 2/7*w**4 - 512/7*w + 0 - 66/7*w**3.
-2*w*(w + 1)*(w + 16)**2/7
Let k = 95 + -96. Let i be (k + (-2)/8)*(-6)/5. Determine z so that -3*z + i*z**2 + 3/2 = 0.
1
Let q(p) = p**3 + 12*p**2 + 10*p - 5. Let r be q(-11). Let o(i) = -i**2 + 8*i - 12. Let m be o(r). Factor m - 3/4*s + 3/4*s**2.
3*s*(s - 1)/4
Let i(s) be the second derivative of -s**6/10 - 7*s**5/15 + 7*s**4/6 + 2*s**3 + 13*s**2/2 + 18*s. Let x(v) be the first derivative of i(v). Factor x(k).
-4*(k - 1)*(k + 3)*(3*k + 1)
Find r such that 3*r - 8/3*r**2 + 1/3*r**3 + 6 = 0.
-1, 3, 6
Let z(h) = -2*h**2 + 2*h. Let u(r) = r**2 - 2*r. Let t = 51 + -55. Let g(q) = t*z(q) - 5*u(q). Let g(m) = 0. Calculate m.
-2/3, 0
Let w(f) be the third derivative of 34*f**2 + 0*f**3 - 1/10*f**4 - 1/25*f**5 - 1/200*f**6 + 0 + 0*f. Factor w(t).
-3*t*(t + 2)**2/5
Let s(p) be the second derivative of -2*p - 4/7*p**2 + 2/21*p**4 + 1/21*p**3 + 0 - 1/70*p**5. Find m, given that s(m) = 0.
-1, 1, 4
Solve -2*n - 1/6*n**2 + 85/6 = 0 for n.
-17, 5
Suppose -6 = -3*h + 2*h. Let i be h/4*(-2 - -4). Suppose -4*c**2 + 2*c**2 + 0*c**3 + 0*c**i + 3*c**3 - c**4 = 0. What is c?
0, 1, 2
Suppose -2*p + 2*s + 6 = 2*p, 2*s = -4*p + 18. Find t, given that 15*t**4 - 6*t**4 - 165*t**p + 3*t**5 + 12 + 162*t**3 - 21*t**2 = 0.
-2, -1, 1
Find b, given that 0 + 21/2*b**3 - 162*b + 564*b**2 = 0.
-54, 0, 2/7
Let d(j) be the second derivative of -80/9*j**3 + 0 - 80/3*j**2 - j - 1/12*j**5 - 25/18*j**4. Factor d(h).
-5*(h + 2)*(h + 4)**2/3
Let v(r) = -30*r**2 + 125*r + 335. Let g(f) = -5*f**2 + 21*f + 56. Let x(q) = 35*g(q) - 6*v(q). Factor x(l).
5*(l - 5)*(l + 2)
Suppose -56*m - 11*m**2 + 169*m + 3 - 55*m + 20*m**2 + 3*m**3 - 49*m = 0. What is m?
-1
Let o(s) be the third derivative of -2*s**7/105 - 23*s**6/30 - 22*s**5/15 - 2*s**2 + 7*s. Factor o(u).
-4*u**2*(u + 1)*(u + 22)
Suppose -27 = 2*m - 6*m + 3*u, 7 = 2*m + 5*u. Let w be (-1)/(-2)*-2*m/(-3). Determine o, given that -10/3*o**3 + 2*o**w + 2/3*o**4 + 6*o + 0 = 0.
-1, 0, 3
Let g(q) be the first derivative of -4*q**3/3 - 34*q**2 - 64*q + 92. What is a in g(a) = 0?
-16, -1
Suppose x = -i + 3*x + 22, i - 14 = -2*x. Let 7*k**2 - 5*k**4 - i*k**2 + 11*k**2 = 0. What is k?
0
Suppose -13*c = 14*c - 17*c. Suppose 3/8*g**4 + 9/8*g**2 + 27/8*g + c - 15/8*g**3 = 0. What is g?
-1, 0, 3
Let y(k) be the second derivative of k**6/135 - k**5/18 + k**4/18 + 5*k**3/27 - 4*k**2/9 - 229*k. Factor y(p).
2*(p - 4)*(p - 1)**2*(p + 1)/9
Let x(r) be the first derivative of r**5/5 - r**4/2 - r**3/3 + r**2 + 5. Factor x(i).
i*(i - 2)*(i - 1)*(i + 1)
Let j = -16 + 12. Let d(o) = -5*o**4 + 13*o**3 + 6*o**2 - 7*o - 1. Let r(y) = 6*y**4 - 12*y**3 - 6*y**2 + 8*y. Let x(l) = j*d(l) - 6*r(l). Solve x(c) = 0.
-1, 1/4, 1
Let i(k) = 5*k**4 + 75*k**3 + 289*k**2 + 389*k + 164. Let y(a) = 6*a**4 + 78*a**3 + 288*a**2 + 390*a + 165. Let x(s) = 3*i(s) - 2*y(s). Factor x(n).
3*(n + 1)**2*(n + 3)*(n + 18)
Let u(t) be the second derivative of -t**4/42 - 26*t**3/21 + 27*t**2/7 - 828*t. Find c such that u(c) = 0.
-27, 1
Let y(a) be the first derivative of -a**7/252 + a**6/180 + a**5/24 + a**4/24 - 27*a - 26. Let d(h) be the first derivative of y(h). Solve d(q) = 0 for q.
-1, 0, 3
Let g = 212746/62055 + 2/8865. Factor -36/7 - 4/7*k**2 - g*k.
-4*(k + 3)**2/7
Let m be ((-12)/42)/((-1)/14). Determine q, given that -4*q**2 + 5*q - m*q**2 + 3*q**2 - 3*q = 0.
0, 2/5
Solve -4/11*t + 2/11*t**2 - 6/11 = 0.
-1, 3
Let y = -278/33 - -100/11. Suppose -y*f**3 + 2/3*f + 0 + 0*f**2 = 0. What is f?
-1, 0, 1
Let a = -15055/8 + 1883. Factor 0*g**4 + 3/8*g**5 - a*g**3 + 0*g + 0 - 3/4*g**2.
3*g**2*(g - 2)*(g + 1)**2/8
Let a(y) = -y**2 - 4*y + 3. Let x be a(0). Let j(p) be the second derivative of 0 + 1/36*p**4 + 0*p**x - 1/60*p**5 - 5*p + 0*p**2. Factor j(d).
-d**2*(d - 1)/3
Factor 22/5*i - 124/15 - 2/15*i**2.
-2*(i - 31)*(i - 2)/15
Let v(n) = n**2 - 5*n + 6. Let m be v(4). Suppose m*i + 2*i - 11 = -5*j, -4*i = 4. Factor -r**2 + 2*r - j*r - r + r**3.
r*(r - 2)*(r + 1)
Let n(l) be the third derivative of 1/4*l**3 + 1/160*l**6 + 0 - 1/140*l**7 - 7/32*l**4 - 12*l**2 + 0*l + 3/40*l**5. Let n(y) = 0. What is y?
-2, 1/2, 1
Let 59858/7 + 2/7*y**2 + 692/7*y = 0. Calculate y.
-173
Factor -1/2 + 3/4*s - 1/4*s**2.
-(s - 2)*(s - 1)/4
Let y be (-57)/(-40) - 60/(-160). Solve -6/5*s**2 + y*s + 0 - 3/5*s**3 = 0.
-3, 0, 1
Let b(i) be the third derivative of 0 + 1/330*i**5 + 0*i + 1/33*i**3 - 1/66*i**4 + 11*i**2. Determine v so that b(v) = 0.
1
Let n(b) be the second derivative of -b**6/60 - 11*b**5/20 - 5*b**4 + 11*b**3/6 + 121*b**2/4 - 14*b - 8. Let n(f) = 0. What is f?
-11, -1, 1
Factor 0 + 2/7*i**5 + 10/7*i**4 - 8/7*i**2 + 12/7*i**3 - 16/7*i.
2*i*(i - 1)*(i + 2)**3/7
Let 1/3*a**3 - 24 - 23/3*a**2 + 94/3*a = 0. Calculate a.
1, 4, 18
Let k(n) = -12*n**5 + 8*n**4 + 4*n**3 - 8*n**2 - 8*n + 8. Let r(j) = -j**5 + j**4 - j**3 - j + 1. Let v(x) = k(x) - 8*r(x). Factor v(m).
-4*m**2*(m - 1)**2*(m + 2)
Let y be -4 + (-21)/(2 + -5). Let -8*w**2 - 5*w**y + 2*w**2 + 10 + 5*w - 6*w**2 + 2*w**2 = 0. Calculate w.
-2, -1, 1
Let u be (-2)/4*(0 + (-12)/18). Let l(v) be the first derivative of -2*v + 4/3*v**3 + u*v**6 + v**2 - 2/5*v**5 - 3 - v**4. Factor l(j).
2*(j - 1)**3*(j + 1)**2
Let t be 1*3*4/6. Let o be t/(-11) - 92/(-22). Let -v**2 - 4 - v - 4*v + 5*v - o*v = 0. Calculate v.
-2
Suppose 25*c + 310 = -20*c + 445. Solve 0*v**2 + 0*v + 0 - 2/5*v**4 + 1/5*v**c = 0.
0, 1/2
Let f(k) = -15*k**5 - 15*k**4 + 11*k**3 + 11*k. Let q(t) = 5*t**5 + 5*t**4 - 4*t**3 - 4*t. Suppose 0