4 + 0. Factor g(r).
-2*r*(4*r - 1)/5
Factor 49/6*p**4 + 2/3 - 6*p + 109/6*p**2 - 21*p**3.
(p - 1)**2*(7*p - 2)**2/6
Let g(r) be the third derivative of -1/6*r**4 - 2*r**2 + 0*r - 1/3*r**3 + 0 - 1/30*r**5. Factor g(p).
-2*(p + 1)**2
Let h(v) = -2*v + 11. Let r be h(5). Suppose -4*l = y - 3*l - r, 1 = 2*y + l. Factor y - 2/5*z**3 + 2/5*z + 2/5*z**4 - 2/5*z**2.
2*z*(z - 1)**2*(z + 1)/5
Solve j - j**3 - 2/5 + 9/5*j**2 - 7/5*j**4 = 0 for j.
-1, 2/7, 1
Let k(s) be the third derivative of s**7/120 - 13*s**6/240 + 9*s**5/80 - s**4/24 - s**3/6 - 5*s**2. Suppose k(f) = 0. Calculate f.
-2/7, 1, 2
Let p = -1409 + 1411. Factor -3/7*j**3 + 3/7*j + 3/7*j**p - 3/7.
-3*(j - 1)**2*(j + 1)/7
Let s(b) be the third derivative of 0 - 1/6*b**3 - 1/4*b**4 + 4*b**2 - 3/20*b**5 + 0*b. Find i, given that s(i) = 0.
-1/3
Let b(f) be the second derivative of -f**5/25 - f**4/10 - f**3/15 + 2*f. Factor b(w).
-2*w*(w + 1)*(2*w + 1)/5
Let f(c) be the third derivative of 0*c + 2/15*c**3 + 1/60*c**6 - 1/12*c**4 - 2*c**2 - 2/525*c**7 + 0*c**5 + 0. Suppose f(g) = 0. What is g?
-1, 1/2, 1, 2
Suppose -4*g + 5*h = 1 - 0, -6 = -4*g - 2*h. Let l be g/4*(-5 - -6). Factor 1/4*i**2 + 0*i + 0 - l*i**3.
-i**2*(i - 1)/4
Let s be ((-3)/(-2 - -5))/((-8)/4). What is b in 7/4*b + 1/4*b**4 + 5/4*b**3 + s + 9/4*b**2 = 0?
-2, -1
Let n be (-2)/8 + 3/12. Determine s so that n*s**3 - 71*s**2 + 73*s**2 + s**3 = 0.
-2, 0
Suppose 10 = 7*l - 2*l. Factor -a**4 + 2 + a**3 - 3*a**2 - 3 + 5*a**l - 3*a**3 + a + a**5.
(a - 1)**3*(a + 1)**2
Factor 0*z - 3/8*z**2 + 0 + 3/8*z**4 + 3/8*z**5 - 3/8*z**3.
3*z**2*(z - 1)*(z + 1)**2/8
Let f = -3 - -5. Factor -2*r**2 - 6 - f*r + 6.
-2*r*(r + 1)
Let a(b) be the second derivative of b**5/70 + 2*b**4/21 - 5*b**3/21 + 2*b - 47. Factor a(l).
2*l*(l - 1)*(l + 5)/7
Let r(l) be the second derivative of -1/20*l**6 + 0 + 0*l**3 + 0*l**4 + 1/15*l**5 - 2*l**2 - l. Let p(k) be the first derivative of r(k). Factor p(q).
-2*q**2*(3*q - 2)
Let o(y) be the third derivative of -y**6/24 - y**5/4 - 5*y**4/8 - 5*y**3/6 - 15*y**2. Let o(i) = 0. Calculate i.
-1
Let v(g) = 2*g - 3. Let n be v(3). Suppose 1 = -n*b + y + 2, 0 = -4*b - y + 13. Factor b - 3 + p**2 + 0*p**2.
(p - 1)*(p + 1)
Factor -3/2 + 1/2*y + 2*y**2.
(y + 1)*(4*y - 3)/2
Let z(j) = 7*j**2 - 11*j. Let y(r) = 57*r**2 - 90*r. Let n(v) = 4*y(v) - 33*z(v). Solve n(k) = 0 for k.
0, 1
Suppose 0 = 8*f + 19 - 35. Factor -2/5*i**f + 0*i + 0*i**3 + 2/5*i**4 + 0.
2*i**2*(i - 1)*(i + 1)/5
Suppose 1/4*a**3 - 1/2 + 1/2*a**2 - 1/4*a = 0. What is a?
-2, -1, 1
Let u(h) be the third derivative of h**5/30 - h**4/12 - 2*h**3/3 - h**2. Find v, given that u(v) = 0.
-1, 2
Factor 0*g**2 - 4*g**2 + 6*g**2.
2*g**2
Let q be (-58)/(-18) + (-12)/54. Factor 12*h**q + 2*h**2 - 9*h**3 + h - h.
h**2*(3*h + 2)
Let h(a) be the first derivative of -2*a**5/45 + 2*a**4/9 - 4*a**3/9 + 4*a**2/9 - 2*a/9 + 11. Suppose h(u) = 0. What is u?
1
Let t(j) be the second derivative of -j**4/18 + j**2/3 + 4*j. Factor t(y).
-2*(y - 1)*(y + 1)/3
Let z(x) = -6*x + 8. Let u(m) = -m. Let n(c) = -5*u(c) + z(c). Let o be n(5). Suppose -t**2 + 1 - 2*t + t**o - 5*t + 6*t = 0. What is t?
-1, 1
Solve 40*c + 25*c**2 - 19*c**3 + 24*c**3 + 4 + 16 = 0.
-2, -1
Let 0*r - 6 - 10*r**2 - 6 + 7 - 15*r = 0. Calculate r.
-1, -1/2
Let r be (-115)/(-46) - (-2)/(-4). Let i(g) be the first derivative of 0*g + 1/12*g**3 + r + 0*g**2. Factor i(t).
t**2/4
Suppose 10*d - 5*d = 0. Suppose 2*v + 0 - 6 = d. What is f in 2/9*f**2 + 2/9*f**v + 0 - 2/9*f**4 - 2/9*f = 0?
-1, 0, 1
Suppose -8 = -i + 3*n + 7, 4*i - 16 = n. Factor 2*q**4 - 6 - 5*q**3 + 15*q + 7*q**4 - i*q**2 - 10*q**3.
3*(q - 1)**2*(q + 1)*(3*q - 2)
Let z(q) be the first derivative of 4/33*q**3 - 5/11*q**2 - 4/11*q + 5/22*q**4 - 2. Factor z(r).
2*(r - 1)*(r + 1)*(5*r + 2)/11
Suppose 14 = 7*i - 3*i - 5*r, 5*i = 2*r + 26. Suppose 0 = 5*d - d - 8. Determine m, given that 10*m - 10*m**3 + m**4 - 10*m**d - m**4 + 4 + i*m**4 = 0.
-1, -1/3, 1, 2
Let k(u) be the third derivative of -u**8/10080 - u**7/840 - u**6/180 + u**5/20 - 3*u**2. Let o(n) be the third derivative of k(n). Solve o(p) = 0.
-2, -1
Let k be (-1)/((-2 - (-27)/15)/1). Let z(q) be the first derivative of -1/2*q**4 + 2 + 0*q**2 + 2/5*q**k - 2/3*q**3 + 0*q + 1/3*q**6. Factor z(a).
2*a**2*(a - 1)*(a + 1)**2
Let g(u) be the third derivative of -u**9/40320 + u**8/4032 - u**7/2520 - u**6/180 - u**5/60 + 5*u**2. Let n(t) be the third derivative of g(t). Factor n(w).
-(w - 2)**2*(3*w + 2)/2
Let q(i) be the second derivative of 2*i - 3/10*i**5 + 0*i**3 - 1/10*i**6 + 0 - 1/4*i**4 + 0*i**2. Let q(o) = 0. What is o?
-1, 0
Let y(n) be the first derivative of 0*n**3 + 1/6*n**4 - 7 - n**2 - 4/3*n. Let y(z) = 0. Calculate z.
-1, 2
Find g, given that -120/11*g - 24/11*g**4 + 24/11 + 90/11*g**2 + 30/11*g**3 = 0.
-2, 1/4, 1, 2
Let b(p) be the second derivative of 3*p**5/20 + 3*p**4/4 - 6*p**2 + 5*p. Factor b(s).
3*(s - 1)*(s + 2)**2
Suppose g - 4 = -2. Factor d**2 - 11*d + 2*d**2 + g*d.
3*d*(d - 3)
Let k(w) be the third derivative of w**5/30 - w**4/12 - 2*w**3/3 - 2*w**2. Factor k(v).
2*(v - 2)*(v + 1)
Factor 63*q**2 - 12*q**3 - 134*q**2 + 63*q**2 - 4*q**4 + 0*q**4.
-4*q**2*(q + 1)*(q + 2)
Let z(m) be the third derivative of 0*m**3 - 1/36*m**4 + 0 - m**2 - 1/90*m**5 + 0*m. Factor z(n).
-2*n*(n + 1)/3
Let m(u) = -u**2 + u + 3. Let s be m(0). Suppose 2*x - h + s = 3*x, 0 = 5*h - 15. Factor x - 2/5*y**3 + 0*y + 2/5*y**2.
-2*y**2*(y - 1)/5
Let d = 59218033092/1555 - 38082335. Let k = d + 2/311. Factor -k*m + 7/5*m**3 + 2/5*m**2 - 2/5.
(m - 1)*(m + 1)*(7*m + 2)/5
Suppose -2*y + y - 4*d + 12 = 0, 5*d + 36 = 3*y. Factor 2*l + 15*l**2 - l + 3*l - l + y*l**3.
3*l*(l + 1)*(4*l + 1)
Let m(r) be the first derivative of -4*r**3/3 + 2*r**2 - 4. Factor m(u).
-4*u*(u - 1)
Let u be (-62)/(-22) - (-24)/132. Suppose -4*c = u*c. Determine q, given that c*q + 0 + 2/3*q**3 + 0*q**2 + 7/3*q**4 = 0.
-2/7, 0
Let h(g) be the first derivative of g**2 + 7/6*g**6 + g**5 - 3 + 0*g - 5/3*g**3 - 9/4*g**4. Determine p, given that h(p) = 0.
-1, 0, 2/7, 1
Let f(y) be the third derivative of y**5/180 - y**4/36 + 3*y**2. Factor f(g).
g*(g - 2)/3
Let v(k) be the third derivative of -1/180*k**5 + 0*k**4 + 4*k**2 + 0*k**3 + 0*k + 0. Find l, given that v(l) = 0.
0
Let p be 0/(3/1 + -6). Let z(a) be the third derivative of -a**2 + 0 + 0*a**4 - 1/270*a**5 + p*a + 0*a**3. Suppose z(o) = 0. What is o?
0
Let r(o) = -o**3 + 24*o**2 + 23*o + 54. Let p be r(25). Let c = -13 + 40/3. Factor -2/3*l**p + 0*l**2 - 1/3*l**3 + 0 - c*l**5 + 0*l.
-l**3*(l + 1)**2/3
Let w(k) be the second derivative of 0 + 1/5*k**3 - 1/30*k**4 + 0*k**2 + 1/75*k**6 - 3/50*k**5 + 5*k. Suppose w(m) = 0. What is m?
-1, 0, 1, 3
Suppose f + 2*y + 4 = -2*y, y = -3*f + 21. Suppose j**4 - f*j**3 + 1 - 5*j**2 + 3*j**2 + 4*j + j**5 - 3*j**5 + 6*j**5 = 0. What is j?
-1, -1/4, 1
Let i(q) be the third derivative of q**7/1050 + 2*q**6/225 + 2*q**5/75 + q**3/2 - 7*q**2. Let x(w) be the first derivative of i(w). Factor x(j).
4*j*(j + 2)**2/5
Let q(h) = h**3 + 3*h**2 - 3*h - 6. Let w be q(-3). Factor 14/9*b**w - 2/9*b + 4/9*b**2 + 0 + 8/9*b**4.
2*b*(b + 1)**2*(4*b - 1)/9
Let g(p) be the first derivative of -4*p**5/55 + 5*p**4/22 - 2*p**3/11 - p**2/11 + 2*p/11 + 3. Solve g(a) = 0.
-1/2, 1
Let k(h) = h**2 + 2*h. Let o be k(-2). Factor -2*r**2 + o + 4*r**2 + 4*r + 8 + 4*r.
2*(r + 2)**2
Let -9*b**3 - b**2 + 0*b**4 - 3*b**4 - 2*b - 8*b**2 - b = 0. Calculate b.
-1, 0
Let t = -2 - 0. Let r be (-33)/(-15) - t/(-10). Factor 1/2*n + 0 - 1/4*n**r.
-n*(n - 2)/4
Factor 2*w**3 - 2/5*w**4 - 16/5*w**2 + 0 + 8/5*w.
-2*w*(w - 2)**2*(w - 1)/5
Let q = -275 + 2477/9. Factor 0*f**3 + 4/9*f**2 - 2/9 + 0*f - q*f**4.
-2*(f - 1)**2*(f + 1)**2/9
Let z = 11 - 32/3. Suppose -p = -4*p. Factor 2/3*n**2 + z*n**3 + p + 1/3*n.
n*(n + 1)**2/3
Let z(o) = -3*o**2 + 3*o. Let q(n) = -6*n**2 + 5*n. Let l(s) = 3*q(s) - 7*z(s). Determine p, given that l(p) = 0.
0, 2
Let -20*t**2 - 4 - 85*t - 12 - 4 = 0. What is t?
-4, -1/4
Let d(x) be the second derivative of x**6/105 + x**5/14 + x**4/6 + x**3/7 - 4*x + 1. Find n, given that d(n) = 0.
-3, -1, 0
Solve -h**3 + 0 - 1/3*h**4 - 5/3*h + 3*h**2 = 0 for h.
-5, 0, 1
Let j be (-32)/144 - (-50)/36. Let t = 1/12 + j. Determine v, given that 1/4*v**3 + t*v**2 - 1/4*v - 1/2 - 3/4*v**4 = 0.
-1, -2/3, 1
What is y