*o**3 - 33*o**4 - 29*o**4 + 58*o**4.
4*o**2*(o - 1)**2*(o + 1)
Let b(u) be the second derivative of u**6/10 - 9*u**5/10 - 7*u**4/4 - 44*u. Suppose b(n) = 0. What is n?
-1, 0, 7
Let j(v) = -v**2 - v - 2. Let t be j(-2). Let w be (t + 3)/((-2)/6). Suppose -y + w*y**2 + 2*y - y = 0. Calculate y.
0
Let z(q) be the first derivative of 0*q + 0*q**5 + 0*q**2 - 3*q**3 - 1 + 1/900*q**6 + 0*q**4. Let d(s) be the third derivative of z(s). Solve d(k) = 0.
0
Let 394*x**3 - 33*x**5 - 112*x**3 + 5*x**4 + 6 + x**4 - 12*x**2 - 141*x - 108*x**5 + 0*x**4 = 0. Calculate x.
-1, 2/47, 1
Let s(l) = l**2 - 9*l + 11. Let a be s(8). Factor -3*f**a - 432 + 432 + 3*f.
-3*f*(f - 1)*(f + 1)
Determine i, given that -32/5*i**2 + 4/5*i**3 - 8 - 76/5*i = 0.
-1, 10
Factor -h**3 + h**3 + 5*h**4 - 42*h**2 + 42*h**2.
5*h**4
Let p = 1043/412 + -13/412. Factor 2*j**2 + j**4 + p*j**3 + 1/2*j + 0.
j*(j + 1)**2*(2*j + 1)/2
Let i = 487 - 1481/3. Let x = i + 22/3. What is y in -x*y + y**2 - 1/3*y**3 + 0 = 0?
0, 1, 2
Let i(h) be the second derivative of 5*h**6/3 - h**5/2 - 11*h**4 - 44*h**3/3 - 8*h**2 + 64*h. Find y, given that i(y) = 0.
-1, -2/5, 2
Let p(o) be the first derivative of -o**4/2 - 10*o**3 - 63*o**2 - 98*o - 245. Factor p(i).
-2*(i + 1)*(i + 7)**2
Let v be (1/(-2))/(5/(-10)) - -2. What is z in -46*z**v + 145*z**3 - 120*z**2 + 3 + 48*z - 30*z**4 - 3 + 3*z**5 = 0?
0, 1, 4
Factor 1/4*o**4 + 105/4*o**2 - 49/4*o - 343/2 - 19/4*o**3.
(o - 7)**3*(o + 2)/4
Let u(q) = 2*q + 2. Let s be u(-1). Suppose 14*j - 32 + 4 = s. Determine k so that -2/3 + 0*k + 2/3*k**j = 0.
-1, 1
Let t(o) be the second derivative of -o**5/12 - 35*o**4/24 - 5*o**3 + 3*o**2 - 4*o. Let a(h) be the first derivative of t(h). Factor a(p).
-5*(p + 1)*(p + 6)
Factor -169/3*d + 25/3*d**3 + 0 - 143/3*d**2 - 1/3*d**4.
-d*(d - 13)**2*(d + 1)/3
Factor -867/8 - 3/8*s**2 + 51/4*s.
-3*(s - 17)**2/8
Suppose 1169*q**2 + 13*q**5 - 9*q**5 - 1177*q**2 - 12*q**3 = 0. What is q?
-1, 0, 2
Let v(h) be the first derivative of 4*h**3 - 135*h**2/2 + 33*h - 507. Determine i so that v(i) = 0.
1/4, 11
Let x(q) be the first derivative of -8/7*q**2 - 40 - 1/7*q**4 - 20/21*q**3 + 0*q. Let x(t) = 0. What is t?
-4, -1, 0
Let x(l) = 7*l + 80. Let r be x(-11). Let h(z) be the third derivative of 1/6*z**4 - z**r + 0 - 1/90*z**5 + 0*z + 4*z**2. Suppose h(a) = 0. Calculate a.
3
Suppose 79 + 32*z**3 + 19 - 50*z**2 + 13*z**3 - 180*z + 182 - 5*z**4 = 0. What is z?
-2, 2, 7
Suppose -3*j + 2*j + 5*x + 28 = 0, 3*j - 5*x = 34. Solve 3*l**4 - 23*l**5 + 12*l**4 + 5*l**j - 10*l + 28*l**5 - 15*l**2 = 0.
-2, -1, 0, 1
Let u = -4/127 - -135/254. Let l(o) be the second derivative of -2/3*o**3 + 0 - 7*o - 1/4*o**4 - u*o**2. Factor l(w).
-(w + 1)*(3*w + 1)
Suppose -9*x + 3*x + 24 = 0. Suppose -2*n + 5*n - 9 = -x*l, -3*n = -5*l - 9. Find m, given that -1/4*m**2 + 0*m**3 + 1/4*m**4 + 0 + l*m = 0.
-1, 0, 1
Let v(a) be the first derivative of a**4/18 - 4*a**3/9 - a**2/9 + 4*a/3 + 110. Let v(t) = 0. Calculate t.
-1, 1, 6
Suppose 2*g + 2*q + 4 = 0, 0*g + q = 2*g - 11. Suppose -g = -4*k + 13. Factor -12*b**3 + 6*b**2 + 12*b + 41*b**4 + 0 - 9 - 38*b**k.
3*(b - 3)*(b - 1)**2*(b + 1)
Let f = -19 - -21. Let 5*b**f + 6*b - 20*b**4 - 6*b + 0*b + 15*b**3 = 0. What is b?
-1/4, 0, 1
Suppose -36*h = -57*h. Determine l, given that -12/17*l**4 - 8/17*l**2 - 2/17*l**5 + h*l - 18/17*l**3 + 0 = 0.
-4, -1, 0
Let s(k) = k**3 + 13*k**2 - 2*k - 26. Let u be s(-13). Let f(n) be the first derivative of u*n - 2*n**2 - 2/3*n**3 - 2. Suppose f(i) = 0. Calculate i.
-2, 0
Factor -15*i**2 - 2*i**2 - 165089 + 13*i**2 - 52067 + 1864*i.
-4*(i - 233)**2
Let w(v) be the third derivative of 3*v**6/40 + 41*v**5/10 + 133*v**4/2 - 196*v**3 - 106*v**2. Suppose w(u) = 0. Calculate u.
-14, 2/3
Suppose 4/3*f**3 - 4/3*f**2 - 8/3*f + 0 = 0. Calculate f.
-1, 0, 2
Let o(h) be the third derivative of h**5/30 - 11*h**4/6 - 23*h**3/3 + 9*h**2. Factor o(a).
2*(a - 23)*(a + 1)
Let y(x) be the first derivative of -8/5*x**5 + 0*x + 0*x**2 + 1/3*x**6 + 54 + 5/2*x**4 - 4/3*x**3. What is g in y(g) = 0?
0, 1, 2
Suppose 3*n - 12 = j + 2*j, 3*n + 3 = -2*j. Let l(r) be the first derivative of 0*r + 0*r**2 - 3/5*r**5 - 2*r**3 - n - 9/4*r**4. Factor l(q).
-3*q**2*(q + 1)*(q + 2)
Let q = 155 - -390. Let -545*i - 2*i**4 - 2*i**3 + q*i = 0. Calculate i.
-1, 0
Factor -2*j - 33*j**2 - 12*j**3 + 38*j - 71*j**2.
-4*j*(j + 9)*(3*j - 1)
Factor -11365*l + 11464*l - 3*l**2 - 42 + 18*l**2.
3*(l + 7)*(5*l - 2)
Let s be (-48)/(-105) - (-1 - 3/(-5)). Factor -9/7*k - 3/7*k**2 - s.
-3*(k + 1)*(k + 2)/7
Let m be 11 - 7 - ((-11)/7 - -3). Suppose -m*k**3 + 0 - 18/7*k**4 + 0*k - 6/7*k**2 - 6/7*k**5 = 0. What is k?
-1, 0
Suppose -3*m + 30 = 5*p, -353*p + 5*m = -354*p + 50. Factor 10/7*u**2 + 12/7*u - 2/7*u**3 + p.
-2*u*(u - 6)*(u + 1)/7
Suppose 80 - m**5 - 4*m**5 - 40*m**2 - 60*m**3 - 30*m**4 - 80 = 0. What is m?
-2, 0
Let j(u) be the first derivative of 6 + 0*u**2 + 2/21*u**3 - 8/7*u. Factor j(h).
2*(h - 2)*(h + 2)/7
Let b = 0 - 0. Let v be (238/510)/((-21)/(-54)). Factor -v*p**3 + b - 2/5*p - 6/5*p**2 - 2/5*p**4.
-2*p*(p + 1)**3/5
Suppose -17/4*z + 1/4*z**3 + 21/4 - 5/4*z**2 = 0. What is z?
-3, 1, 7
Let q be ((-210)/8)/((-27)/(-72)). Let l be (-4)/10 + (-238)/q. Solve 4*i**2 - 6*i**l + 4*i**4 + 3*i**3 + 0*i**4 - 5*i**3 = 0 for i.
0, 1
Let p(a) be the first derivative of -a**3/2 + 549*a**2/2 - 100467*a/2 - 328. Let p(c) = 0. What is c?
183
Let p(j) = 2*j**3 - 263*j**2 + 131*j. Let l be p(131). Let q = -1 + 4. Factor l*d + 0 + 2/5*d**2 - 2/5*d**q.
-2*d**2*(d - 1)/5
Let i(b) be the first derivative of b**7/126 + 13*b**6/270 + 2*b**5/45 - 2*b**4/9 + 15*b**3 - 35. Let r(j) be the third derivative of i(j). Factor r(l).
4*(l + 1)*(l + 2)*(5*l - 2)/3
Let r = 329/13470 - -4/449. Let k(p) be the third derivative of r*p**5 - 1/12*p**4 + 0 + 0*p**3 + 4*p**2 + 0*p. Suppose k(g) = 0. Calculate g.
0, 1
Let g(d) = -2*d**2 + 79*d - 110. Let w be g(38). Factor n - 1/4*n**w - 1 - 1/2*n**3 + 3/4*n**2.
-(n - 1)**2*(n + 2)**2/4
Factor 1/3*h**3 - 5/3*h**2 + 0 - 14/3*h.
h*(h - 7)*(h + 2)/3
Let p be 13851/12236 - (-2)/(-8). Let j = p - -6/23. Let -2/7*h**2 - 8/7*h - j = 0. Calculate h.
-2
Let f(r) = r + 23 - 20 - 33 - r**3 + 36*r**2. Let w(d) = 10*d**3 - 395*d**2 - 10*d + 330. Let k(j) = 65*f(j) + 6*w(j). Factor k(h).
-5*(h - 1)*(h + 1)*(h + 6)
Let p(j) be the second derivative of 1/2*j**2 + 7/100*j**5 - 9*j + 7/40*j**4 + 1/5*j**3 + 1/100*j**6 + 0. Let k(a) be the first derivative of p(a). Factor k(n).
3*(n + 1)*(n + 2)*(2*n + 1)/5
Let t(l) be the second derivative of -9*l - 2/27*l**3 - 4/27*l**4 + 0*l**2 - 2/189*l**7 + 0 - 8/135*l**6 - 2/15*l**5. Factor t(w).
-4*w*(w + 1)**4/9
Suppose 4*x = -3*a + 2*a + 3, 0 = a - 2*x - 3. Suppose y = -a + 7. Solve -g**2 + 2*g**4 - g - 5*g**2 + 2*g + y*g**2 - g**5 = 0 for g.
-1, 0, 1
Let y(l) be the third derivative of l**7/840 + l**6/120 + l**5/240 - l**4/16 + 8*l**2 - 2*l. Solve y(r) = 0 for r.
-3, -2, 0, 1
Let y = 541 - 537. Let p(k) be the third derivative of 0 + 0*k - 1/40*k**5 - 1/3*k**3 - 1/480*k**6 + 5*k**2 - 1/8*k**y. Suppose p(z) = 0. What is z?
-2
Let o(l) be the third derivative of l**7/210 - 2*l**5/15 + 8*l**3/3 + 22*l**2. Factor o(r).
(r - 2)**2*(r + 2)**2
Let p(g) be the third derivative of -g**5/12 - 145*g**4/24 + 160*g**2. Factor p(f).
-5*f*(f + 29)
Let u(y) be the third derivative of -1/840*y**6 + 1/84*y**5 + 0 - 3*y**2 + 0*y**3 - 1/56*y**4 + 0*y - 1/1470*y**7. Let u(p) = 0. Calculate p.
-3, 0, 1
Let r(d) be the first derivative of -d**6/16 + 3*d**5/20 + 3*d**4/8 - d**3/4 - 9*d**2/16 + 99. Solve r(v) = 0.
-1, 0, 1, 3
Let n(d) be the third derivative of -d**7/105 - d**6/12 - d**5/5 + d**2 - 11. Factor n(x).
-2*x**2*(x + 2)*(x + 3)
Let -3*p**2 + 22*p + 3*p**2 + 28*p + 27 - 79 + 2*p**2 = 0. What is p?
-26, 1
Let i be (-3608)/77 + (-2)/14. Let l = i + 47. Factor 0*r**2 + 2/3*r**4 + 2/3*r**5 + 0*r**3 + 0*r + l.
2*r**4*(r + 1)/3
Suppose t = 5*t - 20. Suppose -z = 5*v + 2*z - 4, 0 = -t*v - z + 8. Factor -7/2*y**v + 0 - 3*y + 10*y**3.
y*(4*y - 3)*(5*y + 2)/2
Let g(f) = -29*f**4 + 99*f**3 - 157*f**2 + 103*f - 21. Let u(s) = -15*s**4 + 49*s**3 - 79*s**2 + 53*s - 11. Let m(p) = 3*g(p) - 5*u(p). Solve m(v) = 0.
1/3, 1, 2
Suppose -7 - z**2 + 3 + z + 16 = 0. Calculate z.
-3, 4
Let k = -30 + 36. Find t such that k + 5*t**3 + 14 - 20*t