, 1, 2
Let u be 13/65 - (-14)/5. Determine k so that k**2 + k**2 + 2*k**2 - u*k**2 - 1 = 0.
-1, 1
Suppose 5*n = 4*k + 12, -22 = -0*k - 5*k - 3*n. Factor -3*w**k - 2 + 4 + 1.
-3*(w - 1)*(w + 1)
Let y(b) = -b**2 - b - 1. Let l(f) = -2*f**4 - 8*f**3 - 3*f**2 + 3*f + 7. Let m(d) = -2*l(d) - 14*y(d). Factor m(h).
4*h*(h + 1)**2*(h + 2)
Let x be -3 - (-14 - 1)/3. Find j, given that 2*j**2 - 19*j - 14*j + 25*j**x + 6 = 0.
2/9, 1
Suppose 44*o = 48*o + 4*w - 16, 0 = -4*o - w + 13. Solve -39/2*l**o - 57/2*l**2 - 33/2*l - 3 - 9/2*l**4 = 0.
-2, -1, -1/3
Let s(q) be the second derivative of 2*q**7/147 + 2*q**6/105 - 8*q**5/35 - 8*q**4/21 + 32*q**3/21 + 32*q**2/7 + q. What is c in s(c) = 0?
-2, -1, 2
Factor 1 - 20*d + 5*d**2 - 1.
5*d*(d - 4)
Let z(f) be the third derivative of -f**8/112 + f**7/10 - 3*f**6/20 - 41*f**2 - f. Determine p so that z(p) = 0.
0, 1, 6
Let r(g) be the first derivative of -g**3 + 33*g**2/2 - 30*g - 62. Factor r(a).
-3*(a - 10)*(a - 1)
Let x(q) be the second derivative of 2/5*q**2 + 0 + 1/15*q**3 - 1/25*q**5 + 1/105*q**7 + 2*q - 2/15*q**4 + 2/75*q**6. Determine n, given that x(n) = 0.
-2, -1, 1
Let x(i) = -4*i**4 + 5*i**3 + 21*i**2 + 4*i - 17. Let t(c) = -c**4 + c**3 + 5*c**2 + c - 4. Let m(p) = 9*t(p) - 2*x(p). Factor m(v).
-(v - 1)**2*(v + 1)*(v + 2)
Let q = 648/2219 + -2/317. Solve -2/7*v**2 + 0 - 2/7*v**3 + 2/7*v**4 + q*v = 0 for v.
-1, 0, 1
Let l(x) be the second derivative of 1/8*x**4 + 0 - 1/4*x**3 + 0*x**2 + 6*x. Factor l(f).
3*f*(f - 1)/2
Let b(o) be the first derivative of -33/10*o**2 - 21/20*o**4 - 16/5*o**3 - 6/5*o - 5. Determine x so that b(x) = 0.
-1, -2/7
Let d = -15/49 - -383/931. Let x = d - -11/76. Solve -2*n**2 + x - 1/2*n**3 - 1/2*n + n**5 + 7/4*n**4 = 0 for n.
-1, 1/4, 1
Let a(d) = -2*d**2 - 12*d - 15. Let m be a(-3). Factor -1/2*p**2 - 1/4*p - 1/4*p**m + 0.
-p*(p + 1)**2/4
Let z(o) = -o**3 + o**2 + 1. Let d(v) be the second derivative of v**5/4 - 5*v**4/12 - v**3/2 + v**2/2 + 7*v. Let i(g) = d(g) + 2*z(g). Factor i(q).
3*(q - 1)**2*(q + 1)
Let t be 30/9 + (-8)/6. Let k(i) be the first derivative of 4*i**3 + 2*i**4 + t*i + 2/5*i**5 + 4*i**2 - 1. Suppose k(w) = 0. What is w?
-1
Find o such that -20*o**3 + 4*o**4 - 4 + 0*o + 12*o + 6*o**5 + 9*o - 7*o = 0.
-2, -1, 1/3, 1
Solve -12/5*a**4 - 3/5*a**5 + 0*a + 0*a**2 + 0 - 12/5*a**3 = 0.
-2, 0
Suppose 3*z - 30*w - 12 = -29*w, 3*w + 1 = 2*z. Factor 2/3*l**z + 2*l - 4/3*l**2 + 0*l**4 + 4/3 - 8/3*l**3.
2*(l - 2)*(l - 1)*(l + 1)**3/3
Let m be -13 + (-154)/(-12) + 2/12. Suppose m + v**2 + 1/2*v**3 + 1/2*v = 0. What is v?
-1, 0
Factor -2/11*o + 2/11*o**3 + 2/11*o**2 - 2/11.
2*(o - 1)*(o + 1)**2/11
Let f(x) be the first derivative of -x**6/24 - 7*x**5/80 - x**4/24 + 6*x - 1. Let n(y) be the first derivative of f(y). Factor n(o).
-o**2*(o + 1)*(5*o + 2)/4
Factor -3*l - 3*l + 2*l + 4*l**2.
4*l*(l - 1)
Solve -2/11*f**3 - 10/11*f - 12/11*f**2 + 0 = 0 for f.
-5, -1, 0
Determine u so that 0*u + 0 + 0*u**2 + 0*u**3 - 4/3*u**5 + 4/3*u**4 = 0.
0, 1
Factor -1/4*y - y**2 + 1/4*y**3 + 1.
(y - 4)*(y - 1)*(y + 1)/4
Let j be -17 + 18 + 2/(-5). Factor 2/5*k**2 + j*k + 1/5.
(k + 1)*(2*k + 1)/5
Let l(d) be the second derivative of 1/21*d**3 + 1/105*d**6 + 3*d + 0*d**2 + 1/14*d**4 + 0 + 3/70*d**5. Find v, given that l(v) = 0.
-1, 0
Let r(q) be the second derivative of -q**7/84 - q**6/20 - 3*q**5/40 - q**4/24 - 14*q. Factor r(s).
-s**2*(s + 1)**3/2
Let f(o) = -11*o**3 + 23*o**2 - 5*o. Let l(a) = -5*a**3 + 11*a**2 - 3*a. Let x(t) = -3*f(t) + 7*l(t). Factor x(s).
-2*s*(s - 3)*(s - 1)
Find o such that o**3 + 2*o**3 + 81 - 12*o + 3*o**2 - 93 = 0.
-2, -1, 2
Factor 0 - 2/11*v + 2/11*v**2.
2*v*(v - 1)/11
Suppose 2*v - 6 = -2. Suppose v*k + 3*k = 0. Solve -11/3*g**4 + 3*g**3 + k - 1/3*g + 4/3*g**5 - 1/3*g**2 = 0.
-1/4, 0, 1
Let t(k) be the third derivative of -2*k**2 + 1/70*k**5 + 0*k + 0 + 1/735*k**7 - 1/84*k**4 - 1/140*k**6 + 0*k**3. Find z such that t(z) = 0.
0, 1
Let b(m) be the second derivative of -m**7/126 + m**5/20 + m**4/18 - 21*m. What is r in b(r) = 0?
-1, 0, 2
Let t(f) be the third derivative of 5*f**8/1008 - f**7/126 - f**6/72 + f**5/36 + 2*f**2. Factor t(z).
5*z**2*(z - 1)**2*(z + 1)/3
Let t be (8/15)/((-86)/(-129)). What is z in 4/5*z**2 - 2/5*z + 2/5*z**3 - t = 0?
-2, -1, 1
Factor 3/7*y**2 - 12/7 + 12/7*y - 3/7*y**3.
-3*(y - 2)*(y - 1)*(y + 2)/7
Suppose -2*k + 0*k = -8. Let t = k - 2. What is r in 3 + 2*r**4 - 3*r**4 - 5*r - t*r**4 - r + 6*r**3 = 0?
-1, 1
Let n(r) be the second derivative of -r**4/84 + 2*r**3/21 - 2*r**2/7 - 3*r. Determine x so that n(x) = 0.
2
Suppose 0 = 3*w + 3*w + 2*w. Determine y, given that 1/4 + w*y - 1/4*y**2 = 0.
-1, 1
Let m = 8 - 15. Let p(j) = 5*j**4 + 2*j**3 - 5*j**2 + 5*j - 7. Let b(u) = 3*u**4 + u**3 - 3*u**2 + 3*u - 4. Let c(s) = m*b(s) + 4*p(s). What is h in c(h) = 0?
-1, 0, 1
Let q(s) be the third derivative of -s**5/45 - 5*s**2. Factor q(l).
-4*l**2/3
Factor -2/5*x + 1/5*x**4 - 1/5*x**2 + 2/5*x**3 + 0.
x*(x - 1)*(x + 1)*(x + 2)/5
Suppose 3*h + 2 = -4. Let q = -1 - h. Determine n, given that 4*n - 4*n - n**2 + q = 0.
-1, 1
Determine g so that -3/4*g**4 + 1/4*g**5 - 3/4 + 1/4*g + 3/2*g**2 - 1/2*g**3 = 0.
-1, 1, 3
Let i(r) be the first derivative of -3*r**4/4 + 3*r**3 + 3*r**2/2 - 9*r - 13. Factor i(l).
-3*(l - 3)*(l - 1)*(l + 1)
Let n(c) = c**2 + c - 1. Let u(t) = -4*t**2 + 3*t + 13. Let o(j) = 3*n(j) + u(j). Let h be o(7). Factor -3 - 4*w - 2*w**2 + 6*w**3 + h.
2*w*(w - 1)*(3*w + 2)
Let b be (-50)/(-315) + (-2)/(-7). Factor 2/9*t - 2/9*t**4 - 2/9 - b*t**3 + 2/9*t**5 + 4/9*t**2.
2*(t - 1)**3*(t + 1)**2/9
Let w(l) = l**3 + 18*l**2 + 2*l + 42. Let a be w(-18). Solve 0*u + 3/4*u**4 + 0 - 9/4*u**5 + 3*u**2 + a*u**3 = 0.
-1, -2/3, 0, 2
Let n(k) be the first derivative of k**7/3360 + k**6/720 + k**3/3 - 5. Let r(a) be the third derivative of n(a). Factor r(w).
w**2*(w + 2)/4
Factor 6*c**2 + 4/3 + 22/3*c.
2*(c + 1)*(9*c + 2)/3
Let b(z) be the third derivative of -z**6/480 + z**5/120 + z**4/96 - z**3/12 - z**2. Factor b(h).
-(h - 2)*(h - 1)*(h + 1)/4
Let a = -3 + 9. Let p = a - 4. Determine z, given that 0*z**2 - 2*z**2 - 2*z - 5*z**p = 0.
-2/7, 0
Let j(k) be the second derivative of 0*k**3 + 1/10*k**5 + 1/6*k**4 - 2*k + 0*k**2 - 1/21*k**7 - 1/15*k**6 + 0. Factor j(t).
-2*t**2*(t - 1)*(t + 1)**2
Let n(o) be the third derivative of 1/1176*o**8 - o**2 + 0*o + 0*o**3 + 0*o**4 + 0*o**7 + 0 - 1/420*o**6 + 0*o**5. Suppose n(c) = 0. What is c?
-1, 0, 1
Factor -g - 2 - 8*g**2 + 14*g**2 - 4*g**2 - g**2.
(g - 2)*(g + 1)
Let r = -25 - -27. Let q(b) be the second derivative of 7/45*b**6 + 5/18*b**4 - 2/63*b**7 + 0*b**2 + 0 - 1/9*b**3 - 3/10*b**5 - r*b. Factor q(c).
-2*c*(c - 1)**3*(2*c - 1)/3
Suppose 0 = 4*l + 3*k + 12, 5*l = 3*l + 5*k + 20. Factor -h**5 - h**4 - 2*h**3 + l*h**4 + h**3 + 3*h**4.
-h**3*(h - 1)**2
Suppose -4*v = 0, 2*a + 0*a = -2*v. Solve 2*c**3 + 1/4*c - 5/4*c**2 - c**4 + a = 0 for c.
0, 1/2, 1
Let w(r) = r - 10. Let f be w(12). Factor -59 - 3*u**f - 3*u**4 + 6*u**3 + 59.
-3*u**2*(u - 1)**2
Suppose 16*g = 12*g + 24. Determine h, given that 4 + h + 22*h**2 + g*h - 16*h - 17*h = 0.
2/11, 1
Let 0*n - n + 26*n**3 - 25*n**3 = 0. Calculate n.
-1, 0, 1
Let v be (-3)/(-2)*(-20)/(-12). Determine n, given that 2*n**4 + n**2 - v*n**3 + 0*n + 0 - 1/2*n**5 = 0.
0, 1, 2
Let r(j) be the second derivative of 2*j**6/5 + 13*j**5/5 + 19*j**4/3 + 22*j**3/3 + 4*j**2 - 35*j. What is u in r(u) = 0?
-2, -1, -1/3
Let -2 - c**2 - c - 2*c + 0 + 0 = 0. What is c?
-2, -1
Determine c, given that 3*c**2 - 4*c**2 - 11*c**3 + 12*c**3 = 0.
0, 1
Let m(n) be the second derivative of n**5/40 + n**4/24 - n**3/12 - n**2/4 - 13*n. Solve m(i) = 0.
-1, 1
Solve -2/3*g**3 + 14/3*g**2 + 2/3*g**5 - 8/3 - 2*g**4 + 0*g = 0.
-1, 1, 2
Let i(d) be the second derivative of -d**4/30 + 3*d**3/5 - 11*d. Factor i(y).
-2*y*(y - 9)/5
Let b(v) be the first derivative of -v**6/12 - 3*v**5/10 - v**4/4 + v**3/3 + 3*v**2/4 + v/2 - 3. Solve b(a) = 0.
-1, 1
Let c(j) be the first derivative of j**6/16 - 3*j**5/10 + 15*j**4/32 - j**3/4 - 1. Solve c(z) = 0.
0, 1, 2
Let d = 332 + -1657/5. Find l such that d*l + 2/5 + 1/5*l**2 = 0.
-2, -1
Let z(p) be the third derivative of p**8/1680 + p**7/840 - p**6/180 + p**3/6 + 3*p**2. Let d(n) be the first derivative of z(n). Factor d(y).
y**2*(y - 1)*(y + 2)
Let c(r) be the second der