ose 4 = 7*g - 3*g. Let l(k) = g*h(k) - 3*s(k). Factor l(i).
i**2
Find z, given that 3/4*z**2 + 9/4*z + 3/2 = 0.
-2, -1
Let o be (6/27)/(8/24). Let -4/3*v + 1/2*v**3 - 1/6*v**2 - o = 0. Calculate v.
-1, -2/3, 2
Let y(q) be the third derivative of q**8/504 - q**7/105 + q**6/90 - 6*q**2. Factor y(v).
2*v**3*(v - 2)*(v - 1)/3
Let m(v) be the first derivative of 0*v**4 + v**3 + 0*v**2 + 1/360*v**5 - 3 - 1/1080*v**6 + 0*v. Let w(d) be the third derivative of m(d). Factor w(q).
-q*(q - 1)/3
Let p(z) = -z**3 + 3*z**2 + 4*z + 1. Let n be p(4). Suppose 2*k = l, -k = -0*k - n. Factor -3*s**2 + l*s**3 - 8*s**3 + 3*s**4 + 4*s**2 + 2*s**2.
3*s**2*(s - 1)**2
Let x(r) = 2*r**4 - r**3 + 3*r**2 + 11*r. Let j(a) = -a**4 + a**3 - a**2 - 5*a. Let o(k) = -5*j(k) - 2*x(k). Factor o(p).
p*(p - 3)*(p - 1)*(p + 1)
Let b = 118/69 + -24/23. Factor -2/9 + 2/9*f**3 + 2/3*f - b*f**2.
2*(f - 1)**3/9
Let g = -10 + 26. Solve -114*s**2 - 6*s**3 - 50*s - 3*s**5 - 53*s**3 - g*s**3 - 24 - 34*s - 24*s**4 = 0 for s.
-2, -1
Let k(f) be the second derivative of -27*f**5/100 - 17*f**4/10 - 14*f**3/5 + 12*f**2/5 - 29*f. Factor k(l).
-3*(l + 2)**2*(9*l - 2)/5
Let d(o) be the first derivative of -o**5/10 - o**4/6 + o - 3. Let n(f) be the first derivative of d(f). Solve n(v) = 0.
-1, 0
Let g(b) = b**2 + b - 2. Let c(d) = 4*d**2 + 10*d - 10. Let u(w) = -c(w) + 5*g(w). Suppose u(i) = 0. What is i?
0, 5
Let l = 12 - 35/3. Suppose -1/3*n**3 + 1/3*n**2 - 1/3 + l*n = 0. Calculate n.
-1, 1
Let v(o) be the first derivative of o**5/25 + 19*o**4/5 + 722*o**3/5 + 13718*o**2/5 + 130321*o/5 + 20. Factor v(n).
(n + 19)**4/5
Suppose -3*g - 38 + 128 = 0. Let n be 48/g - (-2)/5. Solve -4*s**3 + 5*s**3 + n*s - 3*s**3 = 0 for s.
-1, 0, 1
Factor 0*c**2 + 0 + 0*c + 3/8*c**3 - 9/8*c**4.
-3*c**3*(3*c - 1)/8
Factor -2*q**2 - 4*q - 4 - 3*q**2 + 4*q**2 + 0*q**2.
-(q + 2)**2
Let g = -9 + 14. Let v = g + -3. Factor 0 - 2/11*f**3 + 0*f**v + 2/11*f.
-2*f*(f - 1)*(f + 1)/11
Let b(n) be the third derivative of -n**8/560 + n**7/210 + n**6/300 + 29*n**2. Factor b(l).
-l**3*(l - 2)*(3*l + 1)/5
Let w = 1 - -3. Suppose -3*n + 18 = 5*o, -5 - 4 = -w*o + 3*n. Factor -2*i**o + 4*i**5 + 3*i**4 - 3*i**5 + 4*i**3.
i**3*(i + 1)*(i + 2)
Let l(i) be the second derivative of i**7/42 - i**6/15 - i**5/10 + i**4/3 + i**3/6 - i**2 - 17*i. Factor l(o).
(o - 2)*(o - 1)**2*(o + 1)**2
Let f(k) be the second derivative of -5*k**4/12 - 10*k**3/3 + 25*k**2/2 + 23*k. Factor f(t).
-5*(t - 1)*(t + 5)
Let g(j) be the third derivative of -j**6/40 + 3*j**5/20 - j**4/4 + 2*j**2. Suppose g(x) = 0. What is x?
0, 1, 2
Factor 6*u**3 - 21*u**3 - 2*u**4 + 4*u**4 + 9*u**3.
2*u**3*(u - 3)
Let u(h) be the third derivative of 0 + 0*h + 1/3*h**3 + 2*h**2 + 3/8*h**4 + 1/24*h**6 + 1/5*h**5. Suppose u(q) = 0. Calculate q.
-1, -2/5
Factor 2 + 4/3*w + 2/9*w**2.
2*(w + 3)**2/9
Let p = -26/15 - -12/5. Let n be ((-3)/(-4))/(30/(-16) + 3). Factor p*z**2 - 4/3 + n*z.
2*(z - 1)*(z + 2)/3
Let n(h) be the first derivative of -h**4/20 + 3*h**3/5 - 3*h**2/2 - 5*h + 10. Factor n(y).
-(y - 5)**2*(y + 1)/5
Determine z so that 4/11*z + 0 + 6/11*z**2 = 0.
-2/3, 0
Let k = -16 + 7. Let a = 15 + k. Factor 4 + 2*j**3 + 0*j**3 + 0 - a*j.
2*(j - 1)**2*(j + 2)
Solve 0*d + 4/11*d**2 - 10/11*d**5 + 0 - 16/11*d**4 - 2/11*d**3 = 0.
-1, 0, 2/5
Let i(j) be the third derivative of -j**8/6720 + j**6/240 - j**5/15 + 2*j**2. Let v(n) be the third derivative of i(n). Factor v(w).
-3*(w - 1)*(w + 1)
Let y(s) = 2*s**2 - s**2 + 3*s - 5*s. Let p be y(2). Suppose -4/5*v**3 + p + 0*v**4 + 0*v**2 + 2/5*v**5 + 2/5*v = 0. Calculate v.
-1, 0, 1
Let u(c) = -3*c + 2*c - 6 - c + 0*c. Let f be u(-4). Factor f - 1 - 10*g**2 - 5 + 14*g.
-2*(g - 1)*(5*g - 2)
Suppose 4*o - 17 = 7. Let h(q) = -q + 10. Let s be h(o). Factor -2/3*r - 2*r**2 + 0 - 2*r**3 - 2/3*r**s.
-2*r*(r + 1)**3/3
Solve 2*g**4 + 2*g - 2*g**3 - 2*g**3 + 2*g**5 - 8*g**2 + 2 + 4*g**2 = 0.
-1, 1
Factor -10/3*x**2 - 1/3 + 10/3*x**3 - 5/3*x**4 + 1/3*x**5 + 5/3*x.
(x - 1)**5/3
Let o(g) = 0*g + 0*g - 2*g**2 + g + g**2. Let z(h) = -2*h**2 + 6*h. Let y(v) = -4*o(v) + z(v). Factor y(n).
2*n*(n + 1)
Let m(s) = -3*s + 6. Let g(w) = w**2. Suppose 5*a - 6 = -1. Let o(i) = a*m(i) - 3*g(i). Factor o(j).
-3*(j - 1)*(j + 2)
Let a(i) = -8*i - 5. Let d be a(-10). Let y be 55/d + 1/(-3). Find h, given that -4/5*h**2 + y*h + 2/5*h**3 + 0 = 0.
0, 1
Let i be 91/(-52)*2/(-35). Let g(a) be the second derivative of -i*a**5 - a**3 + a + 0 + a**2 + 1/2*a**4. Determine r, given that g(r) = 0.
1
Let u(b) be the first derivative of b**3/10 + 11*b**2/20 + b - 2. What is p in u(p) = 0?
-2, -5/3
Let t(p) be the first derivative of p**3/21 - p**2/14 - 2*p/7 - 4. Determine v, given that t(v) = 0.
-1, 2
Let p(f) be the first derivative of -1/13*f**2 + 1/26*f**4 + 4 + 2/13*f - 2/39*f**3. Factor p(s).
2*(s - 1)**2*(s + 1)/13
Suppose 2*x = -2, -4*d - x = -6 - 1. Solve -d*g**3 + 2*g - g**2 - g**2 + 5*g**2 = 0 for g.
-1/2, 0, 2
Let z be (0/(-18))/(-1*4 - -1). Factor 0 + 2/7*v**3 + 2/7*v**2 + z*v.
2*v**2*(v + 1)/7
Let q = -19 + 47. Let o be 2 - (q/36 + 1). Factor -2/9*w**3 - 2/9*w**2 + 2/9*w + o*w**4 + 0.
2*w*(w - 1)**2*(w + 1)/9
Let h(i) be the first derivative of 0*i**2 - 1 - 2/3*i**3 - 147/20*i**5 + i + 343/60*i**6 + 7/2*i**4. Let n(v) be the first derivative of h(v). Factor n(y).
y*(7*y - 2)**3/2
Let t(p) be the second derivative of -p**6/135 - p**5/30 + 4*p**3/27 - 4*p. Let t(j) = 0. Calculate j.
-2, 0, 1
Let q = 854/65 - 150/13. Factor 0 + 2/5*z**3 + q*z - 8/5*z**2.
2*z*(z - 2)**2/5
Let s(w) be the first derivative of -w**6/12 + w**5/2 - 3*w**4/4 - w**3/3 + 7*w**2/4 - 3*w/2 + 7. Determine c so that s(c) = 0.
-1, 1, 3
Let 1/6*v**3 + 0 + 27/2*v - 3*v**2 = 0. What is v?
0, 9
Let w = 800 - 797. Factor -1/2*d + 0 - 7/2*d**w + 5/2*d**2 + 3/2*d**4.
d*(d - 1)**2*(3*d - 1)/2
Let n(z) be the second derivative of -z**6/30 + 2*z**5/5 - 2*z**4 + 16*z**3/3 - 8*z**2 + 2*z. Let n(w) = 0. What is w?
2
Let r(y) be the first derivative of -2*y**3/3 - 3*y**2 - 4*y + 17. Find z, given that r(z) = 0.
-2, -1
Let r(x) be the first derivative of -x**5/5 + x**4/4 + x**3/3 - x**2/2 + 10. Factor r(k).
-k*(k - 1)**2*(k + 1)
Factor -5/2*u**2 - 2 - 4*u - 1/2*u**3.
-(u + 1)*(u + 2)**2/2
Suppose 4*r + 18 - 2 = 0, 3*m = 2*r + 17. Factor 4*y**m + 0*y**3 - 2*y**4 - 2*y**3.
-2*y**3*(y - 1)
Suppose 0 = 4*w + 6 - 18. Factor a**w - 128 + a**3 - 27*a**2 + 3*a**2 + 96*a.
2*(a - 4)**3
Suppose 5*x + 26 = -4*g, 4*g + 4*x = -0*x - 28. Let w(a) = -a - 7. Let y be w(g). What is h in -1/3*h**y - 2/3*h + 0 = 0?
-2, 0
Suppose -f - 2*r - 7 = 0, 18 = -2*f - 5*r - 1. Let l(n) = n**3 + n**2 - 2*n - 1. Let h(c) = -1. Let o(z) = f*h(z) - 3*l(z). Find y such that o(y) = 0.
-2, 0, 1
Let t(y) be the first derivative of -y**4/6 - 2*y**3/9 + 1. Find s, given that t(s) = 0.
-1, 0
Let l(u) be the first derivative of -16/5*u**2 + 2 + 8/5*u - 19/10*u**4 - 1/15*u**6 + 10/3*u**3 + 14/25*u**5. Factor l(v).
-2*(v - 2)**2*(v - 1)**3/5
Let d be -7 + 1 - 2/(40/(-124)). Let -1/5*c**3 - d*c**2 + 1/5*c + 1/5 = 0. Calculate c.
-1, 1
Let m(y) be the third derivative of -1/32*y**4 - 1/40*y**5 + 1/4*y**3 - 3*y**2 + 0 + 1/160*y**6 + 0*y. Find t such that m(t) = 0.
-1, 1, 2
Let o(r) = 6*r + 2. Let m(u) = -u**2 + 13*u + 5. Let k(q) = -2*m(q) + 5*o(q). Factor k(g).
2*g*(g + 2)
Let n(x) be the first derivative of -x**3/9 + x/3 + 4. Factor n(t).
-(t - 1)*(t + 1)/3
Let k(y) be the second derivative of -y**7/945 + y**6/270 - y**5/270 + 2*y**2 - 6*y. Let g(q) be the first derivative of k(q). Find c such that g(c) = 0.
0, 1
Let i(d) = -9*d - 27. Let l be i(-3). Let r(s) be the third derivative of 1/480*s**6 + 1/240*s**5 + 0*s**4 + 0 + 0*s + l*s**3 + s**2. Let r(n) = 0. Calculate n.
-1, 0
Let q(r) = -r**2 + 7*r + 5. Let w be q(7). Let j = w + 13. Factor -l**2 + 3*l**2 + 22*l - j*l.
2*l*(l + 2)
Suppose -2*o = 7 - 31. Let z be (-3)/o + 18/8. Let z - 2 - p**3 = 0. What is p?
0
Let b be (65/(-20))/(1/173). Let w = 570 + b. Let w*l**3 + 1/2 - 15/4*l**4 - 15/4*l**2 - 3/4*l = 0. What is l?
-1/3, 2/5, 1
Let f(i) be the third derivative of i**8/1344 + i**7/840 - i**6/160 - i**5/240 + i**4/48 + 4*i**2. Solve f(t) = 0.
-2, -1, 0, 1
Let y(o) be the first derivative of 1/9*o**3 - 2 + 1/15*o**5 - 1/6*o**4 + 0*o + 0*o**2. Suppose y(i) = 0. Calculate i.
0, 1
Factor 0*m + 1/11*m**3 + 0 + 10/11