tor x(w).
-w**2*(w + 1)**3
Let q be ((-36)/(-2 - 4) - (-434)/(-63))*-1. Suppose -32/9*d - 34/9*d**2 - q - 10/9*d**3 = 0. What is d?
-2, -1, -2/5
Suppose 36*x - 33*x = 0. Let o(r) be the third derivative of 1/44*r**4 + 2/33*r**3 + x*r**5 - 1/660*r**6 + 6*r**2 + 0 + 0*r. Factor o(j).
-2*(j - 2)*(j + 1)**2/11
Let q = 17 + -17. Suppose 6*y - 13 - 5 = q. Let -3*x**2 - 2*x + 2 - x + 0 + 1 + 3*x**y = 0. Calculate x.
-1, 1
Suppose 21*a = 22*a - 6. Factor 5*y**2 - 10*y - 3*y**2 + 32 - a*y.
2*(y - 4)**2
Let w(i) be the first derivative of -17 + 0*i**4 - 4/65*i**5 + 1/39*i**6 + 0*i**3 + 0*i**2 + 0*i. Determine r so that w(r) = 0.
0, 2
Let g(z) = -2*z**2 - 4*z + 4. Let f(w) = 10*w**2 - 6*w**2 - 4 - 7 + 2*w**2 + 12*w. Let i(k) = 2*f(k) + 7*g(k). Factor i(x).
-2*(x - 1)*(x + 3)
Let 0 + 66/5*h**4 + 3*h**5 - 24/5*h + 9/5*h**3 - 66/5*h**2 = 0. What is h?
-4, -1, -2/5, 0, 1
Let u = 3248 + -48716/15. Let t(x) be the first derivative of -8/45*x**3 - 1/30*x**4 - 1/3*x**2 - 2 - u*x. Factor t(h).
-2*(h + 1)**2*(h + 2)/15
Let t = -40 + 44. Find x such that 25*x - 25*x - t*x**3 = 0.
0
Determine j, given that 40/3*j**2 + 2/3*j**5 + 0 + 16/3*j + 14/3*j**4 + 12*j**3 = 0.
-2, -1, 0
Let w be 1/2*(5 + 9). Let b = 9 - w. Factor 8 + 8*r - b - 6 + 4*r**2.
4*r*(r + 2)
Find i, given that 81/2*i + 3/2*i**3 - 45/2*i**2 - 39/2 = 0.
1, 13
Let w be ((-6)/21)/((-2)/28) + -2. Suppose 2*p - w*x = -6 + 2, -x = 2*p - 2. Let 2/7*z**3 + p*z - 2/7*z**4 + 0 + 4/7*z**2 = 0. What is z?
-1, 0, 2
Let g(m) = -m**2 + 15*m + 11. Let u be g(15). Let p(w) = -w**3 + 12*w**2 - 10*w - 7. Let o be p(u). Find k, given that o*k**2 + 46 - 32*k + 33 - 15 = 0.
4
Let u(h) = 8*h - 5. Let w be u(1). Let x(c) be the second derivative of 8*c - 1/24*c**6 - 3/16*c**4 + 0*c**2 + 1/12*c**w + 3/20*c**5 + 0. Factor x(s).
-s*(s - 1)**2*(5*s - 2)/4
Let v(c) be the third derivative of 0*c - 1/840*c**7 + 0 + 1/48*c**4 + 21*c**2 + 1/80*c**5 + 0*c**3 + 0*c**6. Factor v(r).
-r*(r - 2)*(r + 1)**2/4
Factor -368*o + 508*o**2 + 767*o**5 - 234*o**3 + 99 - 82*o**2 - 770*o**5 + 29*o + 51*o**4.
-3*(o - 11)*(o - 3)*(o - 1)**3
Let r(s) be the third derivative of s**8/6720 + 7*s**5/60 + 11*s**2. Let p(d) be the third derivative of r(d). Factor p(k).
3*k**2
Let o(g) be the first derivative of g**3 + 15*g**2/2 + 18*g + 201. Find h such that o(h) = 0.
-3, -2
Factor -22 - 43/2*d + 1/2*d**2.
(d - 44)*(d + 1)/2
Let b(n) = n**3 + 4*n**2 + n - 1. Let x(c) = 24*c**3 + 38*c**2 + 2*c - 6. Let o(d) = -6*b(d) + x(d). Determine r, given that o(r) = 0.
-1, 0, 2/9
Let z(k) be the third derivative of k**7/42 - 47*k**6/120 + 29*k**5/30 - 2*k**4/3 + 28*k**2 + 5. Factor z(o).
o*(o - 8)*(o - 1)*(5*o - 2)
Let n(q) be the second derivative of 2*q**2 - 1/3*q**4 - q + 0*q**3 + 0. Factor n(p).
-4*(p - 1)*(p + 1)
Let k(x) be the third derivative of x**6/30 + 12*x**5/5 + 25*x**2. Find p such that k(p) = 0.
-36, 0
Let n(o) be the third derivative of -11*o**2 + 8/105*o**7 + 0 - 1/3*o**4 - 1/6*o**3 + 0*o + 1/15*o**6 - 1/4*o**5. Determine w, given that n(w) = 0.
-1, -1/4, 1
Let m(g) be the first derivative of -g**8/1008 - 2*g**7/315 - g**6/60 - g**5/45 - g**4/72 + g**2 + 4. Let v(a) be the second derivative of m(a). Factor v(o).
-o*(o + 1)**4/3
Suppose z - 5*s - 4 = 0, -3*z - 91 = -s - 103. Factor -2/9*j**z - 2/9*j - 2/9*j**5 - 2/9 + 4/9*j**3 + 4/9*j**2.
-2*(j - 1)**2*(j + 1)**3/9
Let u(w) = -48*w - 2. Let d = 11 + -13. Let g be u(d). Suppose -2*k**4 + 2 - k + g*k**3 - 90*k**3 - 3*k = 0. Calculate k.
-1, 1
Let p(b) = -15*b - 327. Let v be p(-22). Let c(l) be the third derivative of 10*l**2 + 1/60*l**5 - 1/3*l**v + 1/24*l**4 + 0 + 0*l. Solve c(q) = 0 for q.
-2, 1
Let a = 41 - 37. Factor -11*o**2 - o**2 + 5*o**a - o**4 + 8*o.
4*o*(o - 1)**2*(o + 2)
Let v(y) be the third derivative of 0*y**3 + 0*y**4 - 1/175*y**7 + 0 + 0*y**5 + 1/560*y**8 + 0*y + y**2 + 1/200*y**6. Suppose v(p) = 0. What is p?
0, 1
Let g be (0 - 54/15)/(9/(-30)). Factor 12*m + 20*m**2 - 4*m**3 - 12*m - 16*m - g*m + 12.
-4*(m - 3)*(m - 1)**2
Suppose 1834*c = 1801*c. Factor c + 7/2*z + 1/4*z**2.
z*(z + 14)/4
Let v = 188 - 185. Factor 6/7*f**v + 0*f - 6/7*f**4 + 2/7*f**5 + 0 - 2/7*f**2.
2*f**2*(f - 1)**3/7
Let j(m) be the third derivative of -1/48*m**8 + 2/35*m**7 + 0*m**4 + 0*m + 0 - 39*m**2 - 1/40*m**6 - 1/30*m**5 + 0*m**3. Factor j(s).
-s**2*(s - 1)**2*(7*s + 2)
Let h(f) be the first derivative of f**4/20 - 6*f**3/5 - 42*f**2/5 - 88*f/5 + 54. Factor h(t).
(t - 22)*(t + 2)**2/5
Let u(p) be the first derivative of -p**8/8400 + p**6/900 - p**4/120 - 3*p**3 - 11. Let z(x) be the third derivative of u(x). Factor z(a).
-(a - 1)**2*(a + 1)**2/5
Let z = -3889 - -3892. Find q such that -14/5*q**2 + q**4 - 3/5*q + 2/5*q**z + 1/5*q**5 + 9/5 = 0.
-3, -1, 1
Let f(z) be the first derivative of -2*z**3/27 + 202*z**2/9 - 20402*z/9 + 797. What is k in f(k) = 0?
101
Factor 16/11 + 18/11*w + 2/11*w**2.
2*(w + 1)*(w + 8)/11
Let n(h) be the first derivative of -2*h**3/33 + 7*h**2/11 - 12*h/11 - 545. Let n(c) = 0. What is c?
1, 6
Let p(d) be the first derivative of d**7/35 - 7*d**6/60 + 8*d**5/45 - d**4/9 - 27*d**2 - 6. Let a(u) be the second derivative of p(u). Solve a(b) = 0 for b.
0, 2/3, 1
Let d(k) be the first derivative of -k**5/5 - 5*k**4 - 131*k**3/3 - 152*k**2 - 192*k - 180. What is v in d(v) = 0?
-8, -3, -1
Let x be 5 + 1/(-3)*(-18)/(-2). Find z such that 9*z - 421*z**2 + 425*z**x + 39*z = 0.
-12, 0
Let h = 82 + -82. Let l(v) be the second derivative of 1/12*v**4 + 0*v**2 + h - 1/3*v**3 + v. Suppose l(n) = 0. What is n?
0, 2
Let s = 3021 + -3019. Determine m, given that -s*m**3 + 0 - 4/5*m**4 - 2/5*m - 8/5*m**2 = 0.
-1, -1/2, 0
Let k(y) be the second derivative of -2/15*y**6 + 5*y + 0*y**2 + 0*y**4 + 0*y**3 - 1/5*y**5 + 0. Factor k(a).
-4*a**3*(a + 1)
Solve -129*p - 83*p - 121*p**2 - 324 - 126*p - 58*p = 0 for p.
-18/11
Suppose 4*w = -5*j + 2*w + 32, -4*j - 2*w = -24. Let s be -1 - 0 - ((-14)/j - 1). What is z in 0*z - 1/2*z**3 - 5/4*z**4 + 0*z**2 + 0 + s*z**5 = 0?
-2/7, 0, 1
Factor 6*l**4 - 2*l + 2*l**3 - 4*l**4 + 382*l**2 - 132*l**2 - 124*l**2 - 128*l**2.
2*l*(l - 1)*(l + 1)**2
Let c = 3/178 + 703/534. Let r(q) be the second derivative of 0 - 6*q + c*q**3 - 1/3*q**4 + 0*q**2. Solve r(w) = 0.
0, 2
Suppose -1420*c = -1390*c. Determine o, given that -5/3*o**3 + 1/3*o**5 - 1/3*o**4 + c - o**2 + 0*o = 0.
-1, 0, 3
Factor 10 - 1/4*b**3 + 19/2*b**2 + 79/4*b.
-(b - 40)*(b + 1)**2/4
Let h(d) = 3*d - 35. Suppose 0 = -11*l + 132 + 11. Let u be h(l). Find i such that -3/5*i**5 + 0*i + 0*i**3 + 0 + 3/5*i**u + 0*i**2 = 0.
0, 1
Suppose 2*m - m = 2. Solve h**3 - 8*h**m - 27 + 3*h**2 - 3*h - 4*h**2 + 30*h = 0 for h.
3
Factor 194*a**2 - 214*a**2 + 2*a**3 + 38*a**3 - 45*a**5 + 15*a**4.
-5*a**2*(a + 1)*(3*a - 2)**2
Let k(m) be the first derivative of -m**3/9 + m**2/2 + 108. Solve k(z) = 0 for z.
0, 3
Let y(s) be the third derivative of s**6/660 + s**5/330 - s**4/132 - s**3/33 - 2*s**2 - 16*s. Factor y(h).
2*(h - 1)*(h + 1)**2/11
Let v be (2/(-3))/((-4)/18). Suppose -v*k + 0*k = -7*k. What is z in k*z + 0 - 1/2*z**3 + z**2 = 0?
0, 2
Factor 0*p**3 + 0 + 2/5*p**5 + 8/5*p**2 + 0*p - 6/5*p**4.
2*p**2*(p - 2)**2*(p + 1)/5
Factor 0*p**2 + 0 + 1/3*p - 1/3*p**3.
-p*(p - 1)*(p + 1)/3
Let v(y) be the third derivative of y**7/13860 - y**6/990 + y**5/165 + 11*y**4/24 - 2*y**2. Let p(o) be the second derivative of v(o). What is q in p(q) = 0?
2
Find m, given that -10*m**2 - 66/7*m + 4/7 = 0.
-1, 2/35
Let y = -9956/3 - -3392. Let q = y + -73. Determine d so that q*d + 0 + 1/6*d**3 - 1/2*d**2 = 0.
0, 1, 2
Factor 5*i**2 + 15*i**3 + 5*i**2 + 12*i**4 + 9*i**4 + 7*i**4 - 23*i**4.
5*i**2*(i + 1)*(i + 2)
Let g(y) be the first derivative of 3/7*y**4 + 0*y**2 + 7 + 8/35*y**5 + 0*y + 4/21*y**3. Suppose g(n) = 0. Calculate n.
-1, -1/2, 0
Find a, given that 11*a**3 - 6*a**3 - 8*a**3 + 12*a - 6*a**2 + 24 = 0.
-2, 2
Let f(a) be the second derivative of a**5/5 + 16*a**4 - 98*a**3/3 + 380*a. Determine u, given that f(u) = 0.
-49, 0, 1
Factor -2/7*i**3 + 2646 - 378*i + 18*i**2.
-2*(i - 21)**3/7
Let a be (-1 + 4)*(-4)/(-6). Suppose a*u = -2, 4*j + u - 30 = 9. Factor -4*v - 7*v - v**2 + j*v.
-v*(v + 1)
Let o(w) be the second derivative of 0*w**3 - 1/15*w**6 + 0*w**4 + 0*w**2 + 8*w + 0 + 1/20*w**5 + 1/42*w**7. Factor o(j).
j**3*(j - 1)**2
Let k(c) be the first deriv