pose -k + 3*x = -51, -7*x + 111 = 3*k - 2*x. Factor 7*m**2 - 3*m**2 + 64 - 10*m + k*m.
4*(m + 4)**2
Let t be 2*(-6)/(-84) + 48/7. Factor -1359*a**3 + 1355*a**3 - 3*a + t*a.
-4*a*(a - 1)*(a + 1)
Solve -12/7*b**2 - 1/7*b**3 + 0 + 0*b = 0 for b.
-12, 0
Let m(h) be the third derivative of -h**8/360 - h**7/2520 + h**6/180 - h**5/10 + 8*h**2. Let f(y) be the third derivative of m(y). Suppose f(o) = 0. What is o?
-2/7, 1/4
Let o = 1966 + -1966. Factor 4/11*s**3 - 10/11*s**5 + 0*s**2 - 6/11*s**4 + o*s + 0.
-2*s**3*(s + 1)*(5*s - 2)/11
Factor -506/15*y**3 - 392/15*y + 56*y**2 - 2/15*y**5 + 0 + 4*y**4.
-2*y*(y - 14)**2*(y - 1)**2/15
Factor 4/9*z + 0*z**3 + 0 + 2/9*z**4 - 2/3*z**2.
2*z*(z - 1)**2*(z + 2)/9
Let y = -9 - -14. Suppose -d = -w + y + 4, -4*w - d + 11 = 0. Find h, given that 2*h**3 + 6*h**4 - 38*h**3 + 243 - 3*h**w + 162*h**2 - 324*h = 0.
3
Let i(f) be the second derivative of 2*f + 0*f**2 + 0 - 3/10*f**4 - 7/50*f**5 - 2/15*f**3. Factor i(d).
-2*d*(d + 1)*(7*d + 2)/5
Let x(m) be the second derivative of 0 - 3/10*m**5 + 0*m**2 - 1/4*m**4 - 8*m + 0*m**3 - 1/10*m**6. Factor x(n).
-3*n**2*(n + 1)**2
Factor 2/3*r**2 - 1/3*r**4 + 1/3*r + 1/3*r**5 - 2/3*r**3 - 1/3.
(r - 1)**3*(r + 1)**2/3
Suppose 0 + 4 = 2*l. Determine f, given that -2*f**3 + 3*f**3 - l*f**3 + 4*f**3 = 0.
0
Let u(y) = y - 16. Let s be u(14). Let m be 2/(-10) - s/10. Factor -4/9*o**3 + 2/9*o**5 + 0*o + m + 2/9*o**4 + 0*o**2.
2*o**3*(o - 1)*(o + 2)/9
Let w(x) = -x**3 + 9*x**2 - 5*x - 18. Let n be w(9). Let d = 63 + n. Determine f so that 9/2*f**2 + d + 3*f - 3/2*f**4 + 0*f**3 = 0.
-1, 0, 2
Let s(u) be the second derivative of 1/2*u**6 + 5/2*u**3 + 3/2*u**2 + 3/2*u**5 + 0 - 18*u + 1/14*u**7 + 5/2*u**4. Suppose s(j) = 0. Calculate j.
-1
Let x(l) be the second derivative of 6*l**5/5 - 13*l**4/3 + 16*l**3/3 - 2*l**2 + 59*l + 3. Factor x(u).
4*(u - 1)**2*(6*u - 1)
Let r(k) be the first derivative of 1/45*k**5 - 8/9*k**2 + 5 - 2/9*k**4 + 20/27*k**3 + 0*k. Factor r(j).
j*(j - 4)*(j - 2)**2/9
Let v(m) be the second derivative of -m**7/2100 - m**6/600 - m**5/600 + 5*m**3/3 + m. Let t(u) be the second derivative of v(u). Suppose t(k) = 0. What is k?
-1, -1/2, 0
Suppose -c + 32 = 4*c - 2*x, -3*c + 20 = -2*x. Solve -3*w**2 - 32 + 15 + 14 + c*w = 0 for w.
1
Let d(c) = -5*c**2 - 221*c - 40. Let p be d(-44). Let -92/7*f**2 - 2/7*f**p + 24/7*f**3 + 120/7*f - 50/7 = 0. Calculate f.
1, 5
Factor -76*q - 4*q**3 + 32*q**2 + 22 + 29 + 6 - 9.
-4*(q - 4)*(q - 3)*(q - 1)
Let r = -32 + 57. Suppose -3*l**2 + r - 6*l**2 + 21*l**2 - 7*l**2 + 30*l = 0. Calculate l.
-5, -1
Let o(x) = -3*x - 63. Let q be o(-22). Let w be q/1 + 1 - 5 - -4. Factor -2/5 + 6/5*t**4 + 0*t + 16/5*t**w + 12/5*t**2.
2*(t + 1)**3*(3*t - 1)/5
Let w(i) = -11*i**3 - 20*i**2 + 9*i. Let b(g) = -5*g**3 - 10*g**2 + 4*g. Let d(q) = 9*b(q) - 4*w(q). Factor d(y).
-y**2*(y + 10)
Let p(u) be the second derivative of u**4/4 - 6*u**3 - 135*u**2/2 - 251*u. Factor p(n).
3*(n - 15)*(n + 3)
Let y(r) be the first derivative of 15*r**4/4 - r**3 - 15*r**2/2 + 3*r - 82. What is i in y(i) = 0?
-1, 1/5, 1
Let r(s) be the second derivative of -2*s**7/21 + 14*s**6/15 - 11*s**5/5 + 5*s**4/3 + 9*s. Factor r(a).
-4*a**2*(a - 5)*(a - 1)**2
Let h be 40/(-24) - (-2 + 3/9). Factor h - 2/5*i**2 - 2/5*i**5 + 2/5*i**4 + 2/5*i**3 + 0*i.
-2*i**2*(i - 1)**2*(i + 1)/5
Suppose 4*z - 12 = z. Suppose 10 = -z*w + 9*w. Factor -8*g + 17*g**2 - 4*g**3 - 42*g**2 + 13*g**w.
-4*g*(g + 1)*(g + 2)
Factor 18*c**3 - 6*c**3 - 4*c**3 + 18*c**3 - 92*c**2 + 2*c**3 - 88*c + 32.
4*(c - 4)*(c + 1)*(7*c - 2)
Let f(i) be the first derivative of -63*i**4/32 - 11*i**3/12 + i**2/2 + 114. Solve f(d) = 0.
-4/7, 0, 2/9
Let s(q) = -3*q + 48. Let z be s(15). Let p be z/(-9)*-3 + 2. Factor -2/3*t**p + 0 - 2/3*t - 4/3*t**2.
-2*t*(t + 1)**2/3
Let d(i) be the second derivative of -i**4/4 + 13*i**3 + 101*i. Factor d(a).
-3*a*(a - 26)
Suppose 5*i = -2*o + 103, 5*o + 18 = -5*i + 7*i. Let k be 194/38 + (-2)/i. Solve -1/4*j**k - 1/2*j**2 + 1/4*j**4 - 1/4*j + 1/4 + 1/2*j**3 = 0.
-1, 1
Suppose 0 = -a + 15 - 13. Suppose 2 = a*o - o. Factor -n**o + 3*n - 5*n**2 + 3*n**2.
-3*n*(n - 1)
Let f(l) be the third derivative of 0*l**4 + 0*l + 0 + 4*l**2 + 5/6*l**3 + 1/630*l**6 + 1/840*l**5. Let n(h) be the first derivative of f(h). Factor n(d).
d*(4*d + 1)/7
Let p(g) be the second derivative of g**4/3 + 14*g**3/3 + 20*g**2 - 2*g - 552. What is z in p(z) = 0?
-5, -2
Let x(y) be the third derivative of -y**7/840 + y**6/60 + 17*y**3/3 + 2*y**2. Let q(d) be the first derivative of x(d). What is z in q(z) = 0?
0, 6
Let f be 160/64*66/15. Let p(j) be the second derivative of f*j + 0*j**2 + 1/12*j**4 + 0 - 1/2*j**3. Suppose p(v) = 0. Calculate v.
0, 3
Let y = -51/337 + 33853/1011. Suppose -19/3*z**2 + 80/3*z + y + 1/3*z**3 = 0. What is z?
-1, 10
Factor -3657*z**3 - 88*z**4 + 3507*z**3 - 9*z**2 - 14*z**5 - 27*z**2.
-2*z**2*(z + 3)**2*(7*z + 2)
Let n(k) be the first derivative of 3 - 3/10*k**5 + 0*k**3 + 0*k**2 + 27/8*k**4 + 0*k. Factor n(v).
-3*v**3*(v - 9)/2
Let g = -46 - 753. Let q be g/(-153) - 5*1. Determine p, given that -2/3*p**3 + 2/3*p**4 + 0*p - q*p**5 + 2/9*p**2 + 0 = 0.
0, 1
Let g = 55587 + -611447/11. Factor -2/11*a**2 + g*a - 8/11.
-2*(a - 4)*(a - 1)/11
Suppose -2*n + 2 + 2 = 0. Suppose -3*i + 2*c = -0*c - 1, -n*i + 4*c - 10 = 0. Factor -5/6*v**2 - 1/6*v**i - 4/3*v - 2/3.
-(v + 1)*(v + 2)**2/6
Let g(y) be the third derivative of y**5/60 + 7*y**4/12 + 5*y**3/2 - 4*y**2. Let c be g(-13). Factor 1/3*d**3 + 0 - 1/3*d**c + 0*d.
d**2*(d - 1)/3
Let d(f) be the third derivative of f**8/24 - 38*f**7/105 + 43*f**6/60 - 2*f**5/5 - 51*f**2 - 2*f. Let d(o) = 0. What is o?
0, 3/7, 1, 4
Let y be -8*(1 - 3/2). Suppose -15 = -3*n + 5*o, o - 25 = -0*n - 5*n. Factor 2 + w - 3*w + w**2 - n + y.
(w - 1)**2
Factor 143/3*z + 1/3*z**4 - 95*z**2 + 47*z**3 + 0.
z*(z - 1)**2*(z + 143)/3
Solve -512/5*d + 0 - 2/5*d**4 - 576/5*d**2 - 66/5*d**3 = 0 for d.
-16, -1, 0
Let i(r) = -510*r + 495. Let c(n) = -n**2 - 255*n + 247. Let f(v) = 5*c(v) - 3*i(v). Determine o so that f(o) = 0.
1, 50
Suppose 21*t - 31*t + 60 = 0. Let g(j) be the second derivative of -5/8*j**4 - 2*j + 0 + 1/56*j**7 + 3/8*j**5 + 5/8*j**3 - 3/8*j**2 - 1/8*j**t. Factor g(w).
3*(w - 1)**5/4
Let g(x) be the second derivative of x**5/5 + 7*x**4/3 - 2*x**3/3 - 14*x**2 + 4*x - 3. What is c in g(c) = 0?
-7, -1, 1
Let m be -1 + (-9)/(-7) + 208/56. Find y such that 3*y**2 + 2*y**m + 9*y**2 + y**4 - 12*y**3 = 0.
0, 2
Factor 0 - 1/4*i**5 - 5/4*i**3 - i**4 - 1/2*i**2 + 0*i.
-i**2*(i + 1)**2*(i + 2)/4
Let r = 183109/45 + -20331/5. Determine f, given that r*f**2 + 56/9*f**3 - 26/9*f + 4/9 = 0.
-1, 1/4, 2/7
Let y(a) = 3*a**3 + 20*a**2 - 41*a + 14. Let u(x) = 7*x**3 + 41*x**2 - 83*x + 25. Let t(f) = -6*u(f) + 15*y(f). Factor t(v).
3*(v - 1)**2*(v + 20)
Let u(v) be the third derivative of 0 - 1/18*v**5 + 0*v + 19*v**2 + 2/9*v**3 + 1/4*v**4. Factor u(w).
-2*(w - 2)*(5*w + 1)/3
Let j(s) = 4*s**3 - s. Let u be j(-1). Let r be 44/(-6)*u/2. Find l, given that -r*l + 2*l + 9*l - 3*l**2 = 0.
0
Let b(x) be the third derivative of 0 + 11*x**2 + 0*x**4 + 1/6*x**3 + 0*x - 1/60*x**5. Suppose b(a) = 0. Calculate a.
-1, 1
Suppose -10*j + 20 = -0*j. Suppose 36 = j*u + 32. Factor 2/9*d**3 + 0*d + 0 + 4/9*d**u.
2*d**2*(d + 2)/9
Factor 0 + 3/5*v - 3/5*v**2.
-3*v*(v - 1)/5
Find v such that 0 - 8/11*v**2 + 0*v + 2/11*v**3 = 0.
0, 4
Let y(m) be the first derivative of 1/3*m**3 + 1/30*m**5 + 1/3*m**2 + 26 + 1/6*m + 1/6*m**4. Solve y(a) = 0 for a.
-1
Let h(y) be the third derivative of y**5/30 + 2*y**4 - 25*y**3/3 + 15*y**2 + y. Determine u, given that h(u) = 0.
-25, 1
Factor 0*x + 2/3*x**5 + 18*x**3 - 6*x**4 - 18*x**2 + 0.
2*x**2*(x - 3)**3/3
Suppose -14*j - 4*j + 54 = 0. Let x(d) = -3*d**2 + 10*d. Let h be x(j). Determine i, given that -9/5*i + 6/5 + 9/5*i**h - 3/5*i**2 - 3/5*i**4 = 0.
-1, 1, 2
Suppose -v + 4*v = -3*b - 42, 0 = 5*b + 15. Let f be (-12 - v)/(-1 - 4/(-6)). Factor -7/2*x**2 - 3/4*x - x**f + 7/4*x**5 + 3*x**4 + 1/2.
(x - 1)*(x + 1)**3*(7*x - 2)/4
Let u = 75513/2 - 37755. Let t(o) = -o**3 - o**2 + o + 3. Let x be t(0). Determine f, given that 1/2*f**2 - u*f**x + 1/2*f**4 - 1 + 3/2*f = 0.
-1, 1, 2
Let s(w) be the second derivative of -w**4/4 - 3*w**3/2 + 197*w. Suppose s(g) = 0. Calculate g.
-3, 0
Let d(w) be the th