 n = 10 - 14. Let j be 2/5*(n + 9). Factor -t - 1/3*t**j - 2/3.
-(t + 1)*(t + 2)/3
Let u(a) be the first derivative of 1 + 0*a**2 - 1/4*a**4 + 2/9*a**3 + 0*a. What is t in u(t) = 0?
0, 2/3
Find n, given that 16/7 + 4*n - 18/7*n**2 = 0.
-4/9, 2
Suppose 2*v = 4*s + 5*v + 75, -3*s - 25 = -4*v. Let g be s/(-20) + (-3)/4. Determine p, given that -2/5*p - 1/5*p**2 + g = 0.
-2, 0
Let l(g) be the third derivative of -g**8/840 + g**7/175 - g**6/100 + g**5/150 - 4*g**2 + 3*g. Find w such that l(w) = 0.
0, 1
Let a(j) = j**2 - j + 4. Let q be a(-8). Let v = 534/7 - q. Factor v + 6/7*r + 4/7*r**2.
2*(r + 1)*(2*r + 1)/7
Let i(l) = -8*l**2 - 2*l + 2. Let f(c) = -8*c**2 - c + 2. Let s(x) = -4*f(x) + 5*i(x). Solve s(z) = 0.
-1, 1/4
Let k(h) be the second derivative of h**9/9072 - h**7/2520 - h**3/3 + h. Let l(o) be the second derivative of k(o). Factor l(n).
n**3*(n - 1)*(n + 1)/3
Suppose -d - 3 + 5 = 0. Let q be (-2)/4 - 7/(-2). Let 9/2*x + 3/2*x**q + 27/2 - 15/2*x**d = 0. Calculate x.
-1, 3
Let m(z) be the second derivative of z**7/14 + z**6/10 - 9*z**5/20 - z**4/4 + z**3 - 4*z. Factor m(k).
3*k*(k - 1)**2*(k + 1)*(k + 2)
Suppose 4*p = 4*s - 36, 3*p = 5*s + 8*p - 55. Suppose -2*l - 3*l = -s. Factor -3*z + 3*z**2 + 6*z**2 - 3*z**2 - 3*z**l.
3*z*(z - 1)
Factor -1/2*t**4 + 0*t**2 + 0*t - 1/2*t**3 + 0.
-t**3*(t + 1)/2
What is h in 21*h**2 + 5 - 6*h - 2 - 24*h**2 + 6 = 0?
-3, 1
Let q(r) = 0 - 2*r - 1 + r - r**2 + 2*r. Let i(m) = m**3 + m**2 + 3. Let u(t) = 2*i(t) + 10*q(t). Factor u(n).
2*(n - 2)*(n - 1)**2
Let l**2 + 5/2*l - 1/2*l**5 - 2*l**3 - 2*l**4 + 1 = 0. Calculate l.
-2, -1, 1
Let q = 21 + -15. Suppose 8 = -2*k + q*k. Factor -z - z + 2 - k*z**2 - 16*z**3 + 18*z**3.
2*(z - 1)**2*(z + 1)
Let h = -233/5 + 47. Let k(c) be the first derivative of h*c + 2/15*c**3 + 2 - 2/5*c**2. Suppose k(f) = 0. Calculate f.
1
Let l(r) be the second derivative of 1/5*r**2 - 1/60*r**4 + 0 + 1/30*r**3 + 6*r. Let l(j) = 0. Calculate j.
-1, 2
Let o be (-92)/460 - ((-1)/5)/1. Find d such that 0*d**2 + 2*d + 1/2*d**4 - 3/2*d**3 + o = 0.
-1, 0, 2
Let g(j) = -j - 2. Let d be g(-5). Determine p, given that -p**2 - 2*p**d - 5 - 8*p + 2*p + 3 - 5*p**2 = 0.
-1
Let b be 1 - (-3 - 523/(-52)). Let i = -4/13 - b. Let -i*s**4 + 5*s**5 - 1/2 - 1/4*s + 25/4*s**2 - 19/4*s**3 = 0. What is s?
-1, -1/4, 2/5, 1
Factor -5/4*d**2 + 35/2*d - 245/4.
-5*(d - 7)**2/4
Let r(l) be the second derivative of -7/36*l**3 + 1/6*l**2 + 0 + 2*l + 1/12*l**4. Factor r(b).
(2*b - 1)*(3*b - 2)/6
Let h(g) be the first derivative of 2*g**3/27 + 4*g**2/9 + 8*g/9 - 6. Factor h(p).
2*(p + 2)**2/9
Let d be 12/(-1 - 2) - -3. Let o = d + 4. Factor 0 - o*n**3 + 0 + 3*n**4.
3*n**3*(n - 1)
Let h = 12/41 - -244/287. Determine k so that -12/7*k**2 - 2/7 + 8/7*k**3 + h*k - 2/7*k**4 = 0.
1
Let j(a) be the first derivative of -4*a**3/3 + 2*a**2 - 14. Factor j(m).
-4*m*(m - 1)
Let 0 - 1/7*s**5 + 1/7*s**3 + 1/7*s**2 + 0*s - 1/7*s**4 = 0. Calculate s.
-1, 0, 1
Let y be 6/(-10) - 0 - 96/(-80). Let 0 + 3/5*f - y*f**2 = 0. What is f?
0, 1
Let w be (-10 - -4)*4/(-18). Determine t so that 4*t - 13/3*t**4 - w - 11*t**3 + 7*t**5 + 17/3*t**2 = 0.
-1, -2/3, 2/7, 1
Let h(k) be the first derivative of 0*k - 1 + 0*k**4 - 1/7*k**2 - 4/21*k**3 + 1/21*k**6 + 4/35*k**5. Factor h(o).
2*o*(o - 1)*(o + 1)**3/7
Determine t so that 7*t**2 - 5*t**2 - 4*t**4 + 4*t - t**3 + 2*t**4 - 3*t**3 = 0.
-2, -1, 0, 1
Let m(o) = o**2 + 3. Let t be m(0). Let x = 1 + 2. Determine v so that v**2 + 2*v**4 + x*v**t + v**2 + v**3 = 0.
-1, 0
Factor 2/7*o**2 - 2/7*o**3 + 0 + 0*o.
-2*o**2*(o - 1)/7
Let m(j) = -j**2 + 3*j + 18. Let z be m(6). Let k(n) be the second derivative of 3*n - 1/36*n**4 + z*n**3 + 0*n**2 + 0. Find f, given that k(f) = 0.
0
Let w(x) = -x**2 - 4*x - 2. Let i(v) = -v**2 - 5*v - 2. Let k(n) = -4*i(n) + 3*w(n). Let r be k(-8). Factor r + 2*p**2 - 3*p - p**2 - 6*p**2.
-(p + 1)*(5*p - 2)
Let a(s) be the second derivative of 4*s**6/195 + s**5/10 + 5*s**4/26 + 7*s**3/39 + s**2/13 + 8*s. Factor a(o).
2*(o + 1)**3*(4*o + 1)/13
Let z(w) = -w**2 - 15*w - 48. Let r be z(-10). Let i(s) be the first derivative of -1/2*s**4 + 8/3*s**3 + r + 4*s - 5*s**2. Suppose i(n) = 0. Calculate n.
1, 2
Let u(h) = 2*h + 10. Let j be u(-3). Let f(p) be the second derivative of 0 + 1/2*p**2 - 2*p - 1/6*p**3 + 1/48*p**j. Find i, given that f(i) = 0.
2
Let a(w) be the third derivative of 9*w**5/100 + w**4/20 - 3*w**2. What is j in a(j) = 0?
-2/9, 0
Suppose -1 = 5*g - 16. Let t(i) = -i**2 - 6*i - 2. Let j be t(-5). Determine v so that -v**3 - v**2 - g*v**2 - 5*v + 1 - j = 0.
-2, -1
Let y(i) be the first derivative of -1/6*i**3 + 0*i - 1/24*i**4 + 7 - 1/6*i**2. Factor y(g).
-g*(g + 1)*(g + 2)/6
Let q be 4/(-14) - (544/(-140))/8. Factor -1/5*f**4 + 0 + 1/5*f + 1/5*f**2 - q*f**3.
-f*(f - 1)*(f + 1)**2/5
Let o be (-2)/(-8) + 1/(-4). What is w in -4*w + 2 - 2*w**2 - 4 + o = 0?
-1
Let s(u) be the second derivative of -1/30*u**4 - 3*u + 1/50*u**5 - 2/15*u**3 + 0 + 0*u**2. Factor s(k).
2*k*(k - 2)*(k + 1)/5
Let o = 162 - 299. Let n = o + 687/5. Let 2/5*a**4 + 2/5*a**3 - 2/5*a - n*a**2 + 0 = 0. What is a?
-1, 0, 1
Let f(d) = -5*d**5 - d**3 - 7*d**2 - 7*d. Let z(k) = 3*k**5 + 4*k**2 + 4*k. Let v(n) = -4*f(n) - 7*z(n). Suppose v(m) = 0. Calculate m.
-2, 0, 2
Suppose 9*l - 13 = 14. Factor 0 + 4/7*n**l - 2/7*n**2 + 0*n - 2/7*n**4.
-2*n**2*(n - 1)**2/7
Let h(j) be the first derivative of 2/11*j**4 - 10/33*j**3 + 2/11*j**2 + 0*j - 6 - 2/55*j**5. Suppose h(b) = 0. Calculate b.
0, 1, 2
Suppose 2*i - 7 = -1. Let a(x) be the second derivative of 0*x**3 + 0 + 1/42*x**4 + 0*x**2 - 1/70*x**5 + i*x. Factor a(r).
-2*r**2*(r - 1)/7
Determine n, given that -6/5*n**2 + 0 + 4/5*n + 2/5*n**3 = 0.
0, 1, 2
Let m(c) be the first derivative of 3*c**4/22 + 2*c**3/11 - 48. Factor m(u).
6*u**2*(u + 1)/11
Let r(w) be the third derivative of -w**6/80 - 11*w**5/120 - w**4/4 - w**3/3 - 15*w**2. Factor r(s).
-(s + 1)*(s + 2)*(3*s + 2)/2
Let y(a) be the third derivative of a**5/30 - a**4/12 - 2*a**3 - 10*a**2. Factor y(i).
2*(i - 3)*(i + 2)
Let y be (-4)/(2/1) + 4. Suppose 10 = 5*i, 5*h + 9 = 4*i + 21. Solve 2*k**h + 6*k**5 - y*k + 4*k**2 - 4*k**5 - 6*k**4 = 0.
-1, 0, 1
Let q(r) be the first derivative of -r**6/24 + r**5/5 - 3*r**4/16 - r**3/3 + r**2/2 - 3. Suppose q(n) = 0. Calculate n.
-1, 0, 1, 2
Suppose 5 = 5*y, -x + 3*y - 15 - 15 = 0. Let b be 6/x + (-114)/(-27). Factor -b*v**4 + v**4 + 2*v**3 + 2*v**5 - v**4.
2*v**3*(v - 1)**2
Suppose -k - 15 = 2*l, -k - 2*k = 4*l + 45. Let c be 4*(3 - k/(-6)). Suppose -1/4*q**c - 1 - q = 0. Calculate q.
-2
Factor -33*p + 6 - 75/4*p**3 + 3*p**4 + 81/2*p**2.
3*(p - 2)**3*(4*p - 1)/4
Let y(a) = -10*a**3 + 48*a**2 - 34*a + 4. Let w(u) = 7*u**3 - 32*u**2 + 23*u - 3. Let x(o) = 8*w(o) + 5*y(o). Factor x(g).
2*(g - 1)**2*(3*g - 2)
Let 0*h - 4/11*h**2 - 2/11*h**4 + 0 - 6/11*h**3 = 0. What is h?
-2, -1, 0
Let m(r) = -r**2 + 8*r + 2. Let b be m(8). Factor -8*y**2 + 2*y + 9*y - 2 + 22*y**3 - 5*y**4 - 5*y**3 - 13*y**b.
-(y - 1)**3*(5*y - 2)
Let a(j) = -2*j**3 + 2*j**3 - j**2 + j**3. Let u be a(1). Suppose -2/3*f**4 - 2/3*f**3 + u + 2/3*f**2 + 2/3*f = 0. What is f?
-1, 0, 1
Let k be -4*4/120 - (-22)/15. Determine v, given that 2/3*v**3 + 0 + 0*v - k*v**2 = 0.
0, 2
Let o(w) be the third derivative of 2*w**7/105 + w**6/3 + 5*w**5/3 - 2*w**2 - 9. Solve o(t) = 0 for t.
-5, 0
Let s(j) = -3*j**2 - 3*j + 8. Let c(h) = -4*h**2 - 2*h + 8. Let r(m) = 5*c(m) - 6*s(m). Suppose r(o) = 0. Calculate o.
2
Let r(b) = -4*b - 4. Let l be r(2). Let t be (l/(-21))/((-8)/(-28)). Determine n so that 1/4*n**5 + 1/4*n**4 + 0 - 1/4*n**t + 0*n - 1/4*n**3 = 0.
-1, 0, 1
Let r(p) = -p - 1. Suppose 4*m - 18 = 3*g + 5, 3*g - 5*m = -25. Let v be r(g). Solve -a**2 + a**4 + 2*a**v - a + a**3 - a**4 - a**4 = 0.
-1, 0, 1
Let c(y) be the first derivative of -3*y**5/10 + 3*y**4/4 + 3*y**3/2 - 3*y**2 - 6*y + 15. What is q in c(q) = 0?
-1, 2
Let d be 1 + (1 - -2) + -2. Let g be ((1 + -1)/(-4))/1. Let g*s + 2/5*s**d - 2/5 = 0. Calculate s.
-1, 1
Let w(t) = t**2 + 5*t - 14. Let y be w(-6). Let p be 12/y*8/(-36). Factor -a**2 + a - p + 1/3*a**3.
(a - 1)**3/3
Let k(a) be the third derivative of 2*a**7/105 - 2*a**6/15 + a**5/5 + 2*a**4/3 - 8*a**3/3 - 18*a**2. Let k(t) = 0. Calculate t.
-1, 1, 2
Let a(s) be the first derivative of s**4/6 + s**3/3 + 