/4 - f**3/8 - 3*f**2/4 - 21*f. Let d(b) = 0. Calculate b.
-2, -1, 1
Let b(h) = h**2 + 12*h - 11. Let k be b(-11). Let f be k/6 + 8/2. Factor 2/3 - f*c**3 + c + 0*c**2.
-(c - 2)*(c + 1)**2/3
Let m(d) be the third derivative of -d**7/126 + d**6/40 - d**5/60 - d**4/72 + 4*d**2. Suppose m(z) = 0. What is z?
-1/5, 0, 1
Factor 27*i**3 - 2*i**2 + 12*i**4 + 6*i - 5*i**4 + 8*i**4 + 23*i**2 + 3*i**5.
3*i*(i + 1)**3*(i + 2)
Let j = -9 - -55/6. Let q(y) be the third derivative of 0*y - 1/15*y**5 - j*y**3 - 2*y**2 + 0 - 1/6*y**4. Factor q(o).
-(2*o + 1)**2
Let y(r) be the first derivative of -1/2*r**2 - 2 + 0*r + 1/3*r**3. Factor y(l).
l*(l - 1)
Let c(y) be the first derivative of -y**4/20 + y**3/15 + y**2/10 - y/5 + 4. Let c(i) = 0. Calculate i.
-1, 1
Let d(q) be the first derivative of -q**3/12 - q**2/2 - q - 8. Factor d(a).
-(a + 2)**2/4
Let r(t) be the second derivative of t**7/14 + 3*t**6/10 + 9*t**5/20 + t**4/4 - 2*t. Factor r(f).
3*f**2*(f + 1)**3
Let v(i) be the second derivative of -i**6/360 - i**5/60 - i**4/24 - i**3/6 - 2*i. Let l(d) be the second derivative of v(d). Factor l(q).
-(q + 1)**2
Let a be -1 - (1 + 22/(-17)). Let q = -31/68 - a. Factor 1/2*u + 1/4*u**2 + q.
(u + 1)**2/4
Let j = -10 + 7. Let k = 6 + j. Factor n**k - n**4 + n**2 - n**2.
-n**3*(n - 1)
Factor 6/13*d**2 - 2/13*d**4 + 0*d + 0 + 4/13*d**3.
-2*d**2*(d - 3)*(d + 1)/13
Let k(a) be the first derivative of -a**3 - 3/2*a**2 - 1/4*a**4 - 3 - a. Factor k(w).
-(w + 1)**3
Suppose -4*m = 2*x + 4, 0 = -3*x + 2*m + 34 - 8. Suppose -x*c + 6 = -3*c. Factor -5 + f + 5 + f**c.
f*(f + 1)
Let s(r) be the second derivative of -2*r**7/7 - 9*r**6/10 - 9*r**5/10 - r**4/4 + 4*r. Factor s(x).
-3*x**2*(x + 1)**2*(4*x + 1)
Suppose 3*j - 13*s - 12 = -11*s, 0 = -5*j + 5*s + 15. Factor -4/3 - 14/3*u**2 - j*u.
-2*(u + 1)*(7*u + 2)/3
Let r(p) be the first derivative of -2*p**3/33 + 3*p**2/11 - 11. Let r(v) = 0. What is v?
0, 3
Suppose -33 + 12 = -3*n. Let j(q) be the second derivative of 1/42*q**n + 1/12*q**4 + 1/10*q**6 + 3/20*q**5 + q + 0 + 0*q**2 + 0*q**3. Factor j(y).
y**2*(y + 1)**3
Let t(q) be the third derivative of -q**7/315 + 4*q**6/135 - 29*q**5/270 + 5*q**4/27 - 4*q**3/27 - 6*q**2. Suppose t(d) = 0. Calculate d.
1/3, 1, 2
Determine q, given that -1/4*q**2 - 1/2 + 3/4*q = 0.
1, 2
Solve -j**2 - 4 + j**3 - 2*j**2 + 8*j + 2*j**2 - 4*j**2 = 0.
1, 2
Let q(k) be the second derivative of k**7/1260 - k**6/180 + k**5/60 - k**4/4 + 8*k. Let n(r) be the third derivative of q(r). Find h, given that n(h) = 0.
1
Let d = 327 + -979/3. Factor l - 1/3*l**2 - d.
-(l - 2)*(l - 1)/3
Let r be (4122/15)/1 - 1. Let q = -273 + r. Let q*a**2 + 0 + 2/5*a**3 + 2/5*a = 0. Calculate a.
-1, 0
Let b(t) be the first derivative of -2*t**4/5 + 6*t**3/5 - 3*t**2/10 - 2*t/5 - 8. Determine c so that b(c) = 0.
-1/4, 1/2, 2
Factor -4/7*j**2 + 36/7*j - 32/7.
-4*(j - 8)*(j - 1)/7
Let r be 1/3 - (-112)/24. Solve 2*c**r - 3*c**2 + 8 - 11*c**2 + 6*c**4 + 2*c**3 - 4*c**3 = 0.
-2, -1, 1
Let h(z) = -2*z + 20. Let s be h(8). Let r(q) be the third derivative of 1/240*q**5 + 1/480*q**6 + 0*q + 2*q**2 + 0*q**s + 0*q**3 + 0. Factor r(v).
v**2*(v + 1)/4
Suppose 4*b + 20 = 2*x, -2*x + 0*x + 2*b = -10. Suppose x = -4*m + 2 + 6. Factor 8/7*v**3 - 2/7*v**4 + 8/7*v - 12/7*v**m - 2/7.
-2*(v - 1)**4/7
Let t(c) be the second derivative of 0*c**2 + 3*c + 0 - 1/30*c**4 - 1/15*c**3. Solve t(r) = 0.
-1, 0
Let y = 2126/7821 - -28/79. Let w = y + -2/11. Solve 0*t**2 + w*t**3 + 2/9*t**4 - 4/9*t - 2/9 = 0 for t.
-1, 1
Let a(b) be the first derivative of 0*b + 0*b**2 + 3 + 0*b**3 - 1/24*b**6 + 0*b**5 + 1/16*b**4. Factor a(x).
-x**3*(x - 1)*(x + 1)/4
Let o = 16 + -16. Let z(j) be the second derivative of -2/15*j**6 + 7/30*j**5 + 1/9*j**3 + 0*j**2 + 1/3*j**4 + o - j - 8/63*j**7. Determine u so that z(u) = 0.
-1, -1/2, -1/4, 0, 1
Let j(f) be the second derivative of -32*f**6/15 - 24*f**5/5 + 7*f**4/3 + 16*f**3 + 18*f**2 - 7*f. Solve j(b) = 0 for b.
-1, -3/4, 1
Factor -3/4*x**3 + 0*x - 1/2*x**2 + 0*x**4 + 0 + 1/4*x**5.
x**2*(x - 2)*(x + 1)**2/4
Let n(s) be the third derivative of -s**7/140 - s**6/40 - s**5/40 + 5*s**2. Determine p so that n(p) = 0.
-1, 0
Factor -20/7*g + 50/7 + 2/7*g**2.
2*(g - 5)**2/7
Let n(r) be the first derivative of 2/35*r**5 - r**2 - 5/14*r**4 + 4/7*r - 2 + 6/7*r**3. Factor n(v).
2*(v - 2)*(v - 1)**3/7
Suppose -112*o = -113*o + 1. Factor -3/2*n + o + 1/2*n**2.
(n - 2)*(n - 1)/2
Let t be (-1)/10 + (-224)/(-240). Factor -1 - t*d**3 - 11/3*d**2 - 23/6*d.
-(d + 1)*(d + 3)*(5*d + 2)/6
Let l(p) = 1180*p**3 + 4670*p**2 - 4320*p + 900. Let t(s) = -131*s**3 - 519*s**2 + 480*s - 100. Let h(o) = 6*l(o) + 55*t(o). Find v, given that h(v) = 0.
-5, 2/5
Let b(t) = -t - 2. Let l be b(-7). Suppose 0 = -i + l - 2. Factor -2/11*k**4 + 0 + 2/11*k**2 + 0*k - 2/11*k**5 + 2/11*k**i.
-2*k**2*(k - 1)*(k + 1)**2/11
Let x(d) = 2*d**5 + 3*d**4 + 5*d**3 - 3*d**2 - 4*d. Let g(c) = 6*c**5 + 8*c**4 + 16*c**3 - 8*c**2 - 12*c. Let o(z) = 3*g(z) - 10*x(z). Let o(s) = 0. What is s?
-2, -1, 0, 1
Let v(g) be the second derivative of g**7/525 + g**6/150 - g**4/30 - g**3/15 + 3*g**2 - 3*g. Let n(x) be the first derivative of v(x). Factor n(m).
2*(m - 1)*(m + 1)**3/5
Let g be (6/(-7))/((-2)/14). Let d(m) = 2*m - 4*m - 2*m - 7 + g*m**2. Let a(h) = 5*h**2 - 3*h - 6. Let q(p) = 5*a(p) - 4*d(p). Factor q(j).
(j - 1)*(j + 2)
Factor 7*r - 32*r + 29*r**2 - 9*r**3 + r**4 - 25*r + 18 + 11*r.
(r - 3)**2*(r - 2)*(r - 1)
Suppose -3*j - 3*m = -2*j + 4, -5*m = 5*j. Let y(h) be the second derivative of 0 - 1/48*h**4 - 1/12*h**3 - h + 0*h**j. Find c such that y(c) = 0.
-2, 0
Let i(m) be the second derivative of -2*m**2 + 1/3*m**3 - m + 0 + 1/6*m**4. Factor i(v).
2*(v - 1)*(v + 2)
Let o be -5*(2 - (4 - 1)). Let t(g) = 2*g**2 + 8*g + 3. Let x be t(-4). Find k, given that 2*k**5 - k**5 - 3*k**4 + 4*k**2 + 2*k**3 - 1 - x*k**o = 0.
-1, 1/2, 1
Let l = 4 + -2. Suppose -8 = -6*p + 2*p. Factor 4*r**l + 2*r + 2*r**2 - 2*r**p.
2*r*(2*r + 1)
Let j(s) be the second derivative of 3*s**5/40 + 5*s**4/8 - 36*s. Factor j(z).
3*z**2*(z + 5)/2
Let x(o) be the first derivative of -2*o**5/25 - o**4/15 + 2*o**3/45 + 14. Factor x(u).
-2*u**2*(u + 1)*(3*u - 1)/15
Factor -5*x**3 + 0 - 15*x - 6 + 3 - 15*x**2 - 2.
-5*(x + 1)**3
Let f(r) = 35*r**2 - 230*r + 335. Let j(z) = 5*z**2 - 33*z + 48. Let w(x) = -3*f(x) + 20*j(x). What is h in w(h) = 0?
3
Let y(q) be the third derivative of -q**6/10 - q**5/15 + q**4/3 + 11*q**2. Factor y(g).
-4*g*(g + 1)*(3*g - 2)
Find g, given that -1/2*g**3 + 1/8*g**4 + 3/4*g**2 - 1/2*g + 1/8 = 0.
1
Let b = -91/60 - -23/15. Let f(p) be the third derivative of 1/300*p**6 + 0 + b*p**4 + 0*p**3 + 0*p + p**2 + 1/75*p**5. Factor f(a).
2*a*(a + 1)**2/5
Let m be (-12)/18 - (-25)/6. Find c such that -c**2 + m*c + 2 = 0.
-1/2, 4
Determine b so that -2*b**4 - 13*b**5 - 8*b**5 + 24*b**5 - b**3 = 0.
-1/3, 0, 1
Let 8*l - 44*l**3 - 20*l**4 - 20*l**2 - 22*l**4 + 26*l**4 + 0*l**2 = 0. What is l?
-2, -1, 0, 1/4
Let s be (-40)/(-7) + -2 - 74/(-259). Determine o, given that -1/3*o**2 - 1/3*o**3 + 1/3*o**s + 0 + 0*o + 1/3*o**5 = 0.
-1, 0, 1
Solve -4*j - 29*j**3 - 31*j**3 - 4 + 4*j**2 + 64*j**3 = 0.
-1, 1
Let n(g) be the first derivative of g**3/3 + g**2 + 2*g - 2. Let m be n(-2). Factor 3*l**m + 3/2*l**3 + 3/2*l + 0.
3*l*(l + 1)**2/2
Let p(i) be the third derivative of i**8/60480 + i**7/15120 + i**5/15 - 2*i**2. Let x(d) be the third derivative of p(d). What is y in x(y) = 0?
-1, 0
Determine o, given that 1/2*o**2 - 5*o + 25/2 = 0.
5
Let f(x) = -2*x**2 + 2*x - 3. Let y(n) = -4*n + 3*n**2 + 0 + 7 + 0*n - 1. Let v(t) = 5*f(t) + 3*y(t). Factor v(s).
-(s - 1)*(s + 3)
Let z be ((-9)/(-30))/(6/5). Suppose 0 = -5*r - o - 4*o - 10, -3*r = -3*o - 18. Factor -3/4*h + 1/4 + 3/4*h**r - z*h**3.
-(h - 1)**3/4
Let w(n) be the second derivative of n**7/252 + n**6/45 + n**5/20 + n**4/18 + n**3/36 + 13*n. Factor w(g).
g*(g + 1)**4/6
Suppose 6*b - 15 = b. Factor 11*j + 4*j - b - 3*j**2 - 9*j.
-3*(j - 1)**2
Let r(v) be the second derivative of v**4/20 + 4*v**3/5 + 24*v**2/5 + 11*v. Factor r(d).
3*(d + 4)**2/5
Let t(j) be the first derivative of 3*j**4/2 - 3*j**3/2 - 27*j**2/4 - 3*j - 21. Factor t(c).
3*(c - 2)*(c + 1)*(4*c + 1)/2
Let k(w) = -w - 2. Let g be k(-8). Suppose -4*b - m = -13, g*m = -3*b + 3*m + 12. Let -3*z**3 + b + 15*z**2 -