277/9. Factor -x*j**2 + 2/9*j + 4/9.
-2*(j - 2)*(j + 1)/9
Let w be ((-4)/3)/(-14 + 10). Let k(a) be the first derivative of 3 - w*a**3 - a + a**2. Factor k(x).
-(x - 1)**2
Let l = 9 - 4. Solve 4*v**5 + 2*v**3 + 2*v**4 - 5*v**5 - 2*v**2 - v**l = 0.
-1, 0, 1
Suppose 3*j = 8*j - 15. Factor 13*m**5 - 2 + m**3 - 5*m**3 - 12*m**4 - j*m + 14*m**2 - 6*m**5.
(m - 1)**3*(m + 1)*(7*m + 2)
Find a such that -691*a**2 + 665*a**2 + 4*a - a**3 + 5*a**3 + 38*a**3 = 0.
0, 2/7, 1/3
Suppose -2/3 + 4/3*p + 2/3*p**4 + 0*p**2 - 4/3*p**3 = 0. What is p?
-1, 1
Let v(a) be the first derivative of -a**4/48 + a**2/8 + 5*a + 3. Let k(z) be the first derivative of v(z). Suppose k(u) = 0. Calculate u.
-1, 1
Let c(m) be the third derivative of 2*m**2 - 7/180*m**5 - 1/36*m**4 + 0 + 0*m + 0*m**3. Factor c(k).
-k*(7*k + 2)/3
Let t(i) be the first derivative of 3*i**2 - 2/3*i**3 - 4*i + 2. Let t(o) = 0. What is o?
1, 2
Let z(q) be the second derivative of -q**4/48 + q**3/6 - q**2/2 - 3*q. Factor z(t).
-(t - 2)**2/4
Let b = 267/1144 + -7/88. Let 0*i**2 + 0*i + 0 - b*i**3 = 0. Calculate i.
0
Let r(f) be the first derivative of f**4/10 - f**2/5 - 2. Factor r(c).
2*c*(c - 1)*(c + 1)/5
Let k(o) be the third derivative of o**6/40 - o**3/6 - o**2. Let i be k(1). Solve -3*j**3 + 5*j**2 - 4*j**i + 3*j**4 - 2*j**5 + j**5 = 0.
0, 1
Let d = -32 - -290/9. Solve 0 - d*f**2 + 2/9*f**3 + 0*f = 0.
0, 1
Find n such that 0*n**2 - 5/2*n**3 + 15/2*n - 5 = 0.
-2, 1
Let c(f) be the second derivative of -f**7/840 - f**6/160 - f**5/120 + 5*f**2/2 - f. Let l(o) be the first derivative of c(o). Factor l(g).
-g**2*(g + 1)*(g + 2)/4
Let k(d) be the third derivative of -d**6/40 + d**5/10 + d**4/8 - d**3 + 6*d**2. Find i such that k(i) = 0.
-1, 1, 2
Let i(h) be the second derivative of 2*h**7/147 + 2*h**6/105 - 2*h**5/35 - 2*h**4/21 + 2*h**3/21 + 2*h**2/7 - 10*h. Find w, given that i(w) = 0.
-1, 1
Let a(s) be the second derivative of -s**7/126 + s**6/90 - 15*s. Factor a(u).
-u**4*(u - 1)/3
Let b(k) be the second derivative of -k**4/3 + 2*k - 7. Factor b(p).
-4*p**2
Let d(s) be the third derivative of 7*s**6/480 + s**5/120 - 11*s**2. Let d(n) = 0. Calculate n.
-2/7, 0
Factor 1/3*l**2 - 1 - 2/3*l.
(l - 3)*(l + 1)/3
Solve -1 + 1/3*c**2 + 2/3*c = 0 for c.
-3, 1
Factor -3*q**2 + 3 + 2*q + 0*q**2 - 2*q.
-3*(q - 1)*(q + 1)
Let r(c) be the third derivative of -c**5/36 + c**4/6 - 2*c**3/9 - 2*c**2. Factor r(v).
-(v - 2)*(5*v - 2)/3
Let a(w) be the third derivative of -w**8/30240 + w**7/11340 - w**4/12 + 3*w**2. Let z(v) be the second derivative of a(v). Determine p so that z(p) = 0.
0, 1
Factor -2/5*x**4 + 0*x + 2/5*x**2 + 0*x**3 + 0.
-2*x**2*(x - 1)*(x + 1)/5
Let h(k) = -k**3 - 11*k**2 + k + 15. Let f be h(-11). Let g = -8 + 12. Factor -4 - 2*l + 1 + 2*l**5 - g*l**f + 3 + 4*l**2.
2*l*(l - 1)**3*(l + 1)
Suppose 0*d - 4*d - 5*i + 17 = 0, -d + 3*i = 0. Factor 0*m + 1/4*m**d + 1/4*m**2 + 0.
m**2*(m + 1)/4
Find r, given that 0 + 1/2*r + 5/4*r**2 + 1/4*r**4 + r**3 = 0.
-2, -1, 0
Let v(x) be the second derivative of -x**7/5880 - x**6/2520 + x**5/420 - x**3/6 - 5*x. Let o(p) be the second derivative of v(p). Let o(d) = 0. What is d?
-2, 0, 1
Factor -30*o - 5*o**2 + 114 + 100*o - 359.
-5*(o - 7)**2
Let d(c) = -8*c - 30. Let x be d(-4). Let r(t) be the first derivative of -x - 2/15*t**5 + 0*t**3 + 0*t + 0*t**4 + 0*t**2 - 1/9*t**6. Factor r(h).
-2*h**4*(h + 1)/3
Let x(c) be the first derivative of -c**3/3 + 3*c**2 - 6*c - 1. Let l be x(4). What is v in -v**2 + 3*v**2 + l - 4 = 0?
-1, 1
Let w be 4/(-10)*500/(-900). Suppose 2 + w*g**2 + 4/3*g = 0. Calculate g.
-3
Let k(z) be the second derivative of z**5/180 + z**4/54 - 5*z**3/54 - z**2/3 + 20*z. Determine n so that k(n) = 0.
-3, -1, 2
Let b = 2 + 1. Let r(o) = 2*o**b - 2*o**2 + 2 + o**3 - o**3. Let q(v) = -v**4 - 8*v**3 + 9*v**2 - 9. Let g(u) = -2*q(u) - 9*r(u). Find x, given that g(x) = 0.
0, 1
Let z be ((-100)/160)/(10/(-8)). Let g = 253/4 + -63. Factor -r**2 + 5/4*r - z + g*r**3.
(r - 2)*(r - 1)**2/4
Let t(h) be the first derivative of -3/4*h**4 - 4 + 0*h**3 - 3/10*h**5 + 3/2*h**2 + 3/2*h. Suppose t(s) = 0. Calculate s.
-1, 1
Let h(g) = -2*g**4 - 2*g**3 + 7*g**2 + 2*g. Let j(b) = 2*b**4 + 2*b**3 - 6*b**2 - 2*b. Let c(z) = 4*h(z) + 5*j(z). What is n in c(n) = 0?
-1, 0, 1
Suppose -8/3*v**4 - 88/3*v**2 + 22/3*v + 4 + 62/3*v**3 = 0. What is v?
-1/4, 1, 6
Suppose -4*o = -4*c - 4, 0 = -2*c + c + 2. Let v = o - -1. Let 6*p**2 + 4 + 12*p - v*p**2 + 3*p**2 = 0. Calculate p.
-2, -2/5
Suppose -8/13*q**4 - 8/13*q**2 + 0 + 12/13*q**3 + 2/13*q**5 + 2/13*q = 0. What is q?
0, 1
Let f(q) be the first derivative of -3*q**4/4 + q**3 + 6*q**2 - 12*q - 32. Let f(n) = 0. Calculate n.
-2, 1, 2
Let n(b) = -b**2 - 3*b - 8. Let s be n(-5). Let q be (12/9)/((-12)/s). Find m such that -8/5*m - 6/5*m**q - 2/5 = 0.
-1, -1/3
Let n(j) be the third derivative of 1/27*j**3 + 1/90*j**5 + 0*j + 0 - j**2 - 1/36*j**4 - 1/540*j**6. Determine x so that n(x) = 0.
1
Let y = -10 + 7. Let q(i) = i**2 - 3*i - 3. Let h(d) = -d**2 + 2*d + 2. Let k(z) = y*h(z) - 2*q(z). Factor k(l).
l**2
Suppose 4*x - 65 = -j, -5*j - 71 = -4*x - 420. Let s be j/21 + (-4 - -1). Determine v, given that 4/7*v - 4/7*v**3 - s*v**4 + 0*v**2 + 2/7 = 0.
-1, 1
Let l(o) be the first derivative of o**8/1680 - o**7/840 - 10*o**3/3 + 9. Let p(c) be the third derivative of l(c). Find y such that p(y) = 0.
0, 1
Factor 3/2*j**2 + 3/4*j**3 - 3/4*j - 3/2.
3*(j - 1)*(j + 1)*(j + 2)/4
Let o = -894/5 + 180. Let -3/5*p**2 + 0 + o*p = 0. Calculate p.
0, 2
Let c = 689/4 + -171. Factor -1/4*l**4 + 7/4*l + c*l**3 - 1/2 - 9/4*l**2.
-(l - 2)*(l - 1)**3/4
Factor 562*h - 2 - 584*h - 10*h**2 - 2 - 8.
-2*(h + 1)*(5*h + 6)
Suppose -45*g = -46*g + 5. Determine q so that 24/7*q**3 + 0 - 10/7*q**g - 6/7*q**4 + 0*q - 8/7*q**2 = 0.
-2, 0, 2/5, 1
Let u(z) be the third derivative of -z**5/120 + z**4/16 + 17*z**2. Factor u(k).
-k*(k - 3)/2
Factor 4/9*f**4 - 2/9*f + 2/9*f**5 + 0 + 0*f**3 - 4/9*f**2.
2*f*(f - 1)*(f + 1)**3/9
Let v = -248 + 253. What is c in 8/7*c**4 + 8/7*c**2 + 0 + 2/7*c + 12/7*c**3 + 2/7*c**v = 0?
-1, 0
Let q(w) = -w**5 - 21*w**3 + 13*w**2 + 7*w - 3. Let y(n) = -n**5 - n**3 + n**2 - n + 1. Let b(s) = q(s) - 5*y(s). Determine k so that b(k) = 0.
-2, -1, 1
Let p(d) be the second derivative of -d**5/60 - 5*d**4/12 - 25*d**3/6 - 125*d**2/6 + d. Factor p(j).
-(j + 5)**3/3
Let z(g) be the second derivative of g**5/2 + 3*g**4/4 + 11*g**3/6 + g. Let y(w) = 2*w**3 + 2*w**2 + 2*w. Let n(c) = 11*y(c) - 2*z(c). Factor n(h).
2*h**2*(h + 2)
Let c be 32/(-6)*(-9)/4. Suppose -2*o + c = o. Suppose 0*x**3 + 0*x**4 + 5*x**o - x**4 + 2*x**5 + 2*x**3 = 0. What is x?
-1, 0
Let b be ((-4)/(-14))/((-3)/(-21)). What is q in 86*q - 36*q**b - 15*q**4 + 32*q**3 + 22*q**3 - 110*q = 0?
-2/5, 0, 2
Let x = 5 + -5. Suppose 8 = 4*h - x. Factor 8*z**h - 6*z**2 - 2*z + 0*z**2.
2*z*(z - 1)
Let s be 4/(-20) - 1/(-5). What is k in 2*k**2 + 0*k**3 + k + k**3 + s*k**2 = 0?
-1, 0
Let i(d) be the first derivative of 1 + 1/6*d**4 - 1/3*d**2 + 2/3*d - 2/9*d**3. Suppose i(q) = 0. What is q?
-1, 1
Let s(k) = -12*k. Let p be s(-1). Let c = -4 - -9. Suppose -p + 12 - 2*t**c = 0. Calculate t.
0
Suppose 3 - 18 = -5*v. Let u(w) be the first derivative of 1/14*w**4 + 0*w + 1 + 0*w**v + 0*w**2. Suppose u(t) = 0. What is t?
0
Let x = 155 + -60. Let p = x - 281/3. Factor 2/3*j - 2/3 - 2/3*j**4 - 4/3*j**3 + 2/3*j**5 + p*j**2.
2*(j - 1)**3*(j + 1)**2/3
Find m, given that 287 - 3*m**2 - 524 + 276 - 36*m = 0.
-13, 1
Let v(o) be the third derivative of -3*o**5/80 + o**4/16 + 6*o**2. Factor v(r).
-3*r*(3*r - 2)/4
Determine l so that 2*l**2 + 20*l**3 + 5*l**2 + 5*l**2 - 4*l**2 = 0.
-2/5, 0
Let g be (-2)/(-4) + 26/4. Suppose g*o = 2*o + 20. Find l, given that o*l**4 + 3*l**4 - 5*l**4 + 2*l**3 = 0.
-1, 0
Let n be 4 - 0/(-1 + 4). Suppose n*v - 4 = 8. Factor -2*s**v - 2*s**2 + 3*s - 3*s.
-2*s**2*(s + 1)
Suppose 4/3*d**5 - 1/3 - 8/3*d**3 + 4/3*d - 1/3*d**4 + 2/3*d**2 = 0. What is d?
-1, 1/4, 1
Factor -286*s + 0*s**3 - 2*s**3 + 149 - 50*s**2 + 189.
-2*(s - 1)*(s + 13)**2
Let x(s) = 6*s**5 + 15*s**4 + 27*s**3 + 21*s**2 + 9*s. Let u(y) = y**5 + y. Let p(o) = 3*u(o) - x(o). Let p(t) = 0. What is t?
-2, -1, 0
Find c such that 0 + 0*c + 1/5*c**3 + 0*c**2 = 0.
0
Suppose -5*w = -10, -4*r - 5*w - 554 = -0*w. Let j = r + 989/7. Suppos