j**2. Let m(o) = 0. Calculate o.
-1, 0, 1
Let s(b) = -b**2 + 8*b - 14. Let q be s(4). Factor -14*z**3 - 4*z**4 + 15*z**2 - 4*z**5 - 2*z**3 + 12*z**5 - 3*z**q.
4*z**2*(z - 1)**2*(2*z + 3)
Let u = -15568 - -77864/5. Suppose -36/5*x**3 + 0 + 116/5*x**2 - u*x = 0. What is x?
0, 2/9, 3
Let u(g) = -g**3 + g**2. Let t = 31 - 32. Let o(j) = 16*j**3 - 12*j**2 - 12*j - 8. Let s(x) = t*o(x) - 12*u(x). Factor s(b).
-4*(b - 2)*(b + 1)**2
Determine r so that -4*r**3 + 330*r - 2*r**2 - 19*r**2 - 348*r + 27 = 0.
-3, 3/4
Let y(b) be the third derivative of 0 + 5/84*b**4 + 4*b**2 - 4/21*b**3 - 1/210*b**5 - b. What is z in y(z) = 0?
1, 4
Let v be ((-6)/(-8))/((-6)/(-32)). Let m be 374/847 - v/(-14). Suppose m*c + 0 - 6/11*c**3 - 2/11*c**4 + 0*c**2 = 0. Calculate c.
-2, 0, 1
Factor -3 + 3 + 8*y - 95*y**2 + 93*y**2 + 0.
-2*y*(y - 4)
Let o = 4/23 + -169/46. Let r = -3 - o. Determine j, given that 1 - 5/2*j**2 - r*j + 3/2*j**4 + 1/2*j**3 = 0.
-1, 2/3, 1
Let z = -106276/11 + 9662. Factor -z*r**5 - 180/11*r**3 - 18*r - 54/11*r**4 - 276/11*r**2 - 54/11.
-6*(r + 1)**3*(r + 3)**2/11
Suppose 3*b - 25 = -5*a, 3*b - 2*b - 15 = -5*a. Determine q so that 10*q**a - 4*q**2 + 90*q - q**2 + 311 + 94 = 0.
-9
Let o = -30 + 33. Factor 14*s**4 + 2*s - 2*s**3 + o*s**2 + 2*s**3 - 15*s**4.
-s*(s - 2)*(s + 1)**2
Suppose 0 = 3*j + 25 - 10. Let d be -4 - (-1 + (j - 1)). Factor t**2 + 1/2 - 1/4*t**d - 5/4*t.
-(t - 2)*(t - 1)**2/4
Let a(k) be the second derivative of 5*k**4/12 + 60*k**3 + 3240*k**2 - 5*k + 4. Factor a(f).
5*(f + 36)**2
Let c(i) = -13*i**3 + 11*i**2 - 3*i - 6. Let s(p) = 29*p**3 - 21*p**2 + 5*p + 14. Let k(o) = 14*c(o) + 6*s(o). Find h, given that k(h) = 0.
0, 1/2, 3
Solve 11/2*d**2 + 15*d + 0 + 1/2*d**3 = 0 for d.
-6, -5, 0
Let h(z) = z**3 + z**2 - 5*z + 3. Let m be h(2). Determine u so that 23*u - 3*u - 25*u**3 + 74*u**2 + 5*u**m - 74*u**2 = 0.
-2, -1, 0, 1, 2
Determine h, given that -1/3*h**4 + 0 + 1/6*h**3 + 0*h + 0*h**2 + 1/6*h**5 = 0.
0, 1
Find y such that 1/8*y**5 + 9/8*y + 0 + 0*y**4 + 0*y**2 - 5/4*y**3 = 0.
-3, -1, 0, 1, 3
Let b(x) be the second derivative of x**6/840 + x**5/280 + 11*x**3/2 - 27*x. Let v(n) be the second derivative of b(n). Factor v(r).
3*r*(r + 1)/7
Let f be 3/5 + 4/10. Suppose 4*i = 7*i - 3. Determine l, given that -f - i - 2*l**3 - l + 3*l - l**4 + 3 = 0.
-1, 1
Let -37*p + 29*p**2 - 32*p**2 - 21 - 28*p + 66*p - 25*p = 0. What is p?
-7, -1
Let c(z) be the first derivative of -3*z**2 + 1/3*z**3 + 9*z - 17. Solve c(t) = 0 for t.
3
Let f(l) be the second derivative of 0*l**2 + 1/60*l**6 + 1/40*l**5 + 0 - 1/24*l**4 + 12*l - 1/12*l**3. Find o such that f(o) = 0.
-1, 0, 1
Suppose 3*v + 16 = 5*v. Factor v*y - 5*y**3 + 0*y + y - 4*y.
-5*y*(y - 1)*(y + 1)
Let n be 700/150 - 2/3. Let g(q) be the first derivative of -1/4*q**n - 2*q - q**3 - 4 + 1/5*q**5 + 5/2*q**2. Suppose g(b) = 0. What is b?
-2, 1
Let b(y) = -25*y**3 - 110*y**2 - 85*y + 10. Let w(m) = 2*m**3 + 3*m**2 + m - 1. Let i(h) = b(h) + 10*w(h). Solve i(v) = 0 for v.
-15, -1, 0
Suppose j + 1 = -3*s + 3, -3*s + 10 = 5*j. Let d(v) be the third derivative of 0*v + 1/12*v**4 - 2/15*v**3 - 2/75*v**5 + s + 2*v**2 + 1/300*v**6. Factor d(x).
2*(x - 2)*(x - 1)**2/5
Let r(p) be the first derivative of -2*p**6/3 + 8*p**5/5 + 18*p**4 + 128*p**3/3 + 46*p**2 + 24*p + 101. Determine g so that r(g) = 0.
-1, 6
Let y = -23 + 30. Let m be 12/y + 16/56. Factor 8/3*k + 8/3*k**3 + 2/3 + 2/3*k**4 + 4*k**m.
2*(k + 1)**4/3
Suppose -2*d + 16 = 12. Let x(p) = 9*p**2 - 4*p + 2. Let y(c) = 18*c**2 - 9*c + 5. Let v(f) = d*y(f) - 5*x(f). Let v(m) = 0. What is m?
0, 2/9
Let s = -14 + 17. Suppose -7 = -s*f - 1. Factor 6*z**5 + 2*z**4 - 5*z**5 - 2*z**3 + z**5 - f*z**2.
2*z**2*(z - 1)*(z + 1)**2
Let d(m) be the second derivative of -1/14*m**7 + 0 - 9/10*m**5 - 4*m - 2/5*m**6 - 1/2*m**3 - m**4 + 0*m**2. Factor d(s).
-3*s*(s + 1)**4
Suppose -2*h - 4*f = h - 21, -4*h = 5*f - 27. Suppose 2*i - h*i + 7 = 0. Determine z so that i*z**2 + 78 - 78 - 2*z = 0.
0, 2/7
Let q(u) be the first derivative of u**3/3 + 9*u**2/2 - 10*u + 7. Let p be q(-10). Factor 0 - 2/11*o**4 - 8/11*o**3 + p*o - 8/11*o**2.
-2*o**2*(o + 2)**2/11
Suppose 3*w = 2*i + 203, -i - 2*w + 10 = 94. Let n = i + 96. Factor 2/5 + k**3 + 1/5*k**4 + 9/5*k**n + 7/5*k.
(k + 1)**3*(k + 2)/5
Let l(p) be the third derivative of -1/315*p**7 - 17*p**2 + 1/30*p**5 + 0*p**3 + 1/18*p**4 + 0 + 0*p**6 + 0*p. Factor l(d).
-2*d*(d - 2)*(d + 1)**2/3
Let f(n) = -n**3 - 12*n**2 - 12*n + 8. Let d(g) be the first derivative of g**3/3 + g**2/2 - g - 14. Let q(w) = -40*d(w) - 5*f(w). Suppose q(x) = 0. What is x?
-2, 0
Let f be ((-138)/460)/((-2)/50). Let -27/4 - 3/4*s**2 + f*s = 0. What is s?
1, 9
Let b = -28/3 - -11. Let r(l) be the first derivative of b*l**3 - 1 - 15*l - 5*l**2. Factor r(c).
5*(c - 3)*(c + 1)
Let k(o) = 6*o**3 - 54*o**2 - 67*o + 110. Let d(p) = -15*p**3 + 135*p**2 + 168*p - 276. Let n(m) = -5*d(m) - 12*k(m). Factor n(q).
3*(q - 10)*(q - 1)*(q + 2)
Let k(g) be the first derivative of 19*g**6/6 - 39*g**5/5 + g**4/2 + 38*g**3/3 - 21*g**2/2 + g + 189. Factor k(q).
(q - 1)**3*(q + 1)*(19*q - 1)
Let i(s) be the third derivative of -s**6/60 + s**5/5 - 5*s**4/12 + 81*s**2. Let i(x) = 0. What is x?
0, 1, 5
Let p(z) be the second derivative of z**5/50 + 7*z**4/15 - z**3/15 - 14*z**2/5 + z. Factor p(r).
2*(r - 1)*(r + 1)*(r + 14)/5
Let z be (3 - 240/(-140)) + (-1 - -2)*-4. Determine u so that -z*u + 1/7*u**2 + 6/7 = 0.
2, 3
Suppose 244 = -3*f + 262. Let n(v) be the third derivative of 12*v**2 + 1/30*v**5 + 1/24*v**4 + 0*v + 0 - 1/120*v**f - 1/3*v**3. Find m, given that n(m) = 0.
-1, 1, 2
Let d = 151/501 - -16/501. Factor -d - 1/3*i**2 + 2/3*i.
-(i - 1)**2/3
Suppose 30*c**2 + 0 + 12*c**3 + 2/3*c**4 + 0*c = 0. Calculate c.
-15, -3, 0
Let w(r) = r**2 - 5*r - 96. Let i be w(-10). Let v be ((-72)/i)/(2/(-6)). Determine g, given that 0*g**3 + 0 - 4/11*g + 2/11*g**v - 6/11*g**2 = 0.
-1, 0, 2
Let g(j) = -j**2 - j + 11. Let k be g(-5). Let h(p) = -p**2 + p + 4. Let s(x) = -2*x**2 + 2*x + 9. Let u(c) = k*h(c) + 4*s(c). Let u(d) = 0. What is d?
0, 1
Find w, given that 2*w - 14*w**2 + 12*w - 33*w - 2*w**3 + 7*w = 0.
-6, -1, 0
Let y be (-8 + 8)/((-9)/((-45)/(-20))). Let i(h) be the first derivative of 0*h + 1/4*h**4 + 9 + y*h**5 - 1/6*h**6 + 0*h**2 + 0*h**3. Factor i(a).
-a**3*(a - 1)*(a + 1)
Solve 0 + 2/5*j**2 + 4/5*j - 2/5*j**3 = 0 for j.
-1, 0, 2
Suppose -404*x - 4*n + 14 = -403*x, -12 = -3*x - 2*n. Solve -1/4*p**3 + 1/2 - 5/4*p + p**x = 0 for p.
1, 2
Let u(f) be the third derivative of 0*f**4 + 0*f - 1/60*f**7 - 1/224*f**8 + 11/120*f**5 + 0 - 1/3*f**3 + 1/80*f**6 + 6*f**2. Determine b, given that u(b) = 0.
-2, -1, 2/3, 1
Let r(x) be the first derivative of -x**8/504 + x**7/315 + x**6/180 - x**5/90 + 6*x**2 + 6. Let c(p) be the second derivative of r(p). Factor c(w).
-2*w**2*(w - 1)**2*(w + 1)/3
Let l(x) be the third derivative of -x**6/180 + x**5/10 - 3*x**4/4 + 3*x**3 - 141*x**2. Factor l(o).
-2*(o - 3)**3/3
Let s = 25068/5 + -5012. Suppose 0*o - 8/5*o**2 - 2/5*o**4 + 0 + s*o**3 = 0. Calculate o.
0, 2
Find t such that -55707*t**2 - 3116405 + 326*t**3 + 273*t**3 - 4*t**4 + 417*t**3 - 30981*t**2 + 2540160*t - 1625227 = 0.
2, 84
Let j(k) be the second derivative of k**7/70 + 7*k**6/25 + 87*k**5/50 + k**4 - 55*k**3/2 - 75*k**2 + 176*k. Factor j(d).
3*(d - 2)*(d + 1)*(d + 5)**3/5
Suppose -3*a + 20 = -6*a + 5*p, -4*a + p - 4 = 0. Find v, given that a + 4/7*v + 48/7*v**3 - 34/7*v**4 - 26/7*v**2 + 8/7*v**5 = 0.
0, 1/4, 1, 2
Let f be (4/5)/(6/15). Suppose 4*s = -f*s + 18. Factor -3*r + s*r - 4*r + 2 + 2*r**2.
2*(r - 1)**2
Suppose 97*a - 148*a - 165*a = 0. Find z, given that a*z + 0 - 1/6*z**3 + 1/6*z**2 = 0.
0, 1
Let z(q) be the third derivative of -q**7/630 - q**6/18 - 5*q**5/6 - 3*q**4/8 + 3*q**2. Let f(t) be the second derivative of z(t). Suppose f(r) = 0. What is r?
-5
Let 37*l**3 - 36*l + 23*l**2 - 15*l - 20*l**3 - 9 + 6*l**4 + 14*l**3 = 0. What is l?
-3, -1/6, 1
Suppose 2*q + 47 = 6*q - 3*i, q + 3*i - 8 = 0. Suppose 3*o + 7 + q = 3*a, -2*o = -4*a + 18. Solve 3*b**a - 5*b**3 - b**2 - b**2 - 4*b - 4*b**2 = 0.
-2, -1, 0
Factor -169*h**2 - 240 + 93*h**2 + 71*h**2 + 80*h.
-5*(h - 12)*(h - 4)
Suppose p = 4*p + 3*o, -2*p = -o - 6. Determine k, given that -4*k**2 - 16*k + 7*k**2 + k**2 - 8*k**p = 0.
-4, 0
Let 