- l**4/39 - 2*l**3/3 - 8*l. Let x(k) be the second derivative of d(k). Factor x(z).
-2*(z - 2)**2/13
Suppose 3*d - 15 = -2*d. Let y be 30/(-4)*(-40)/50. Factor -6*s**4 + y*s**3 + 3*s**5 - d*s**2 - s**5 + s**2.
2*s**2*(s - 1)**3
Suppose 0*j + 3*j = -21. Let v(h) = h + 11. Let y be v(j). Find r, given that 4*r**2 - 4*r**2 + r**y - r**2 - r**5 + r**3 = 0.
-1, 0, 1
Let i be (-27)/63*49/(-4) - 5. Factor 1/4*n - 1/2*n**2 + 0 + 0*n**3 - i*n**5 + 1/2*n**4.
-n*(n - 1)**3*(n + 1)/4
Let b(y) be the third derivative of y**10/75600 + y**9/37800 - y**8/16800 - y**7/6300 - y**4/24 + y**2. Let l(u) be the second derivative of b(u). Factor l(m).
2*m**2*(m - 1)*(m + 1)**2/5
Let k(i) be the third derivative of i**5/30 - i**4/3 + 2*i**2. Factor k(m).
2*m*(m - 4)
Factor -8/3 + 8/3*g - 2/3*g**2.
-2*(g - 2)**2/3
Let p(x) = -4*x**5 + 2*x**4 - x**3 + 3*x + 3. Let c(j) = 7*j**5 - 4*j**4 + 2*j**3 - 5*j - 5. Let q(u) = 3*c(u) + 5*p(u). Factor q(l).
l**3*(l - 1)**2
Determine m, given that 18/5 + 2/5*m**2 + 12/5*m = 0.
-3
Let x(d) be the second derivative of -4*d**3 + 13/6*d**4 - 4*d**2 - 4*d + 0 + 21/10*d**5. Solve x(y) = 0.
-1, -2/7, 2/3
Let n(v) be the first derivative of -v**8/3360 + v**7/840 - v**6/720 + v**3/3 - 1. Let l(a) be the third derivative of n(a). Factor l(j).
-j**2*(j - 1)**2/2
Suppose 6*k - 25 = k + 3*v, -v - 5 = -k. Factor 5 - 2*b**2 - k - 2*b**3 + 2*b**4 + 2*b.
2*b*(b - 1)**2*(b + 1)
Let d be (1 + -1)/(6/(-3)). Let 0 + d*z + 5/2*z**4 - 1/4*z**3 - 1/2*z**2 = 0. What is z?
-2/5, 0, 1/2
Factor -2/7*r**3 + 0 - 6/7*r**2 - 4/7*r.
-2*r*(r + 1)*(r + 2)/7
Let y(d) = 2 - 2*d**2 + 9 - 3 + 2*d. Let p(x) = 1. Let o(c) = -4*p(c) + y(c). Solve o(v) = 0.
-1, 2
Let w(n) be the first derivative of 0*n**2 + 1/5*n + 5 - 1/15*n**3. Suppose w(j) = 0. Calculate j.
-1, 1
Let m(k) = k**2 - 3*k - 2. Let g(s) = -5*s**2 + 13*s + 9. Let f(i) = -4*g(i) - 18*m(i). Factor f(c).
2*c*(c + 1)
Find v, given that 4/3*v**2 + 0 + 4/3*v + 1/3*v**3 = 0.
-2, 0
Let l(p) be the second derivative of p**6/15 + p**5/30 - 3*p**2/2 + 4*p. Let v(r) be the first derivative of l(r). Factor v(w).
2*w**2*(4*w + 1)
Factor 3 + 1 - 3*m**3 - 24*m + 8 + 15*m**2.
-3*(m - 2)**2*(m - 1)
Factor 0 - 2/11*j**2 - 24/11*j.
-2*j*(j + 12)/11
Let j(d) = 1 - 1 - 2. Let k(m) = -m**2 + 9. Let v(z) = 9*j(z) + 2*k(z). What is o in v(o) = 0?
0
Let k(d) = -d**2 - 3*d + 6. Let v be k(-5). Let t(i) = i**2 - 2*i - 3. Let c(u) = 1. Let n(j) = v*c(j) - t(j). Factor n(z).
-(z - 1)**2
Let l = 123 + -983/8. Let z(j) be the first derivative of 1/6*j**3 + l*j**4 + 0*j**2 + 0*j - 2. Factor z(c).
c**2*(c + 1)/2
Factor -4 + 5*k**2 + 13*k**2 - 4*k**4 - 10*k**2.
-4*(k - 1)**2*(k + 1)**2
Let j(p) be the third derivative of -2*p**2 - 1/156*p**4 + 0*p**3 + 0*p + 1/390*p**5 + 0. Factor j(b).
2*b*(b - 1)/13
Let b(f) = f**2 - 7*f + 9. Let a be b(6). Suppose -7*o - o**2 - a + 0*o**2 + o - 6 = 0. Calculate o.
-3
Let x(g) be the first derivative of -g**2 + 0*g + 5 - 2/3*g**3. Factor x(k).
-2*k*(k + 1)
Let z(f) be the second derivative of f**5/110 - f**4/66 - 2*f**3/33 + 27*f. Factor z(y).
2*y*(y - 2)*(y + 1)/11
Let l(q) be the second derivative of 1/9*q**6 + 0*q**2 - 3/10*q**5 - 2/9*q**3 + q - 1/63*q**7 + 0 + 7/18*q**4. Determine d so that l(d) = 0.
0, 1, 2
Let g(z) = -2*z**3 - z**2 + 1. Let b be g(-1). Let a = 2098/9 - 232. Factor 16/9*r + a*r**b + 2/9*r**3 + 8/9.
2*(r + 1)*(r + 2)**2/9
Let u(n) be the second derivative of -3*n**4 + 22*n**3/3 - 4*n**2 - 9*n. Factor u(w).
-4*(w - 1)*(9*w - 2)
Let l = 104/135 + -10/27. Factor -4/5*c + l*c**4 - 2/5 + 0*c**2 + 4/5*c**3.
2*(c - 1)*(c + 1)**3/5
Let b be ((322/(-6))/7 - -5)/(-2). What is p in 4/3*p**4 - 16/3*p**2 - 4/3 - b*p**3 - 14/3*p + 2/3*p**5 = 0?
-1, 2
Let d(x) be the third derivative of -x**6/60 + x**5/30 + x**4/12 - x**3/3 - x**2. Determine p so that d(p) = 0.
-1, 1
Let q(x) = -x**3 - 4*x**2 - 2*x - 3. Let j be q(-4). Factor -2*g - j - 1 + 5*g - 2*g**2 + 5*g.
-2*(g - 3)*(g - 1)
Let p(i) = -10*i**3 - 7*i**2 + 2*i - 10. Let y(a) = 3*a**3 + 2*a**2 - a + 3. Let x(u) = 2*p(u) + 7*y(u). Let s(w) be the first derivative of x(w). Factor s(v).
3*(v - 1)*(v + 1)
Let m(q) be the third derivative of -2*q**2 + 1/735*q**7 + 0*q + 0*q**6 - 1/210*q**5 + 0*q**3 + 0*q**4 + 0. Factor m(z).
2*z**2*(z - 1)*(z + 1)/7
Suppose 5 - 1/2*c**2 + 9/2*c = 0. What is c?
-1, 10
Let u be ((-20)/8 - -2)*-1. Let -u - 1/2*g**2 - g = 0. Calculate g.
-1
Let h(v) be the second derivative of 5*v**4/16 - 13*v**3/24 - v**2/4 - 2*v. Determine j, given that h(j) = 0.
-2/15, 1
Let l be 8*-1 - 595/(-70). Determine g so that 3/2*g - 3/2*g**2 - 1/2 + l*g**3 = 0.
1
Let m(d) = -3*d**5 + 12*d**4 + 21*d**3 + 24*d**2 + 3*d + 5. Let h(j) = j**5 - 6*j**4 - 11*j**3 - 12*j**2 - 2*j - 2. Let p(s) = -5*h(s) - 2*m(s). Factor p(a).
a*(a + 1)**2*(a + 2)**2
Let y(g) be the third derivative of g**7/7560 + g**6/720 + g**5/180 + g**4/6 + 5*g**2. Let n(v) be the second derivative of y(v). Factor n(f).
(f + 1)*(f + 2)/3
Let t(i) be the second derivative of 0 + 1/6*i**4 + 5*i - 1/3*i**3 + 0*i**2. Factor t(s).
2*s*(s - 1)
Let c = -12 - -18. Factor -3 + c - h**2 - 2 - 2 + 2*h.
-(h - 1)**2
Suppose -t = -42 - 3. Suppose -4*m = 2*l - 3*l - 14, 5*l + 3*m = t. Determine v, given that l*v**4 - 4*v**4 - 3*v**4 = 0.
0
Let x(y) be the second derivative of -y**7/840 + y**6/120 + 3*y**5/40 - y**4/6 + y. Let a(l) be the third derivative of x(l). Determine p, given that a(p) = 0.
-1, 3
Let j be 5/35 + 65/(-945). Let u(k) be the first derivative of 2 + 0*k + j*k**3 - 1/9*k**2. Let u(l) = 0. What is l?
0, 1
Let i be (-28)/(-12) - (-2)/(-6). Factor g - g**i + 8 - 8.
-g*(g - 1)
Let t(g) be the second derivative of 0*g**3 + 0 + 3/4*g**2 - 1/8*g**4 - 2*g. Solve t(r) = 0.
-1, 1
Let q(s) be the first derivative of s**5 - 5*s**4/4 - 10*s**3/3 - 23. Find t such that q(t) = 0.
-1, 0, 2
Let v(o) be the second derivative of -o**8/23520 + o**7/2940 - o**6/840 + o**5/420 + o**4/4 - 3*o. Let u(y) be the third derivative of v(y). Factor u(n).
-2*(n - 1)**3/7
Factor 17*x**2 - 26*x**2 + 6*x + 12*x**2.
3*x*(x + 2)
Suppose 2*x - 4 = 16. Let h be (10/25)/(2/x). Determine o, given that 0*o + 3*o**4 + 4*o**h + 2*o**2 + 0*o + 9*o**3 = 0.
-2, -1, 0
Let h(i) be the first derivative of i**7/15 + 4*i**6/25 + 3*i**5/50 - i**4/15 + i - 1. Let s(g) be the first derivative of h(g). Factor s(m).
2*m**2*(m + 1)**2*(7*m - 2)/5
Let x(z) be the third derivative of -z**6/40 - z**5/4 - z**4/2 + 4*z**2. Determine o, given that x(o) = 0.
-4, -1, 0
Let n(c) be the third derivative of -c**6/1620 - c**5/540 - c**3/2 + 3*c**2. Let j(f) be the first derivative of n(f). Find d, given that j(d) = 0.
-1, 0
Let x(w) be the second derivative of -w**7/14 + w**6/5 - 3*w**5/20 - 5*w. Factor x(h).
-3*h**3*(h - 1)**2
Let x(k) be the third derivative of k**7/630 - k**6/60 + k**5/15 - k**4/9 + 7*k**2. Find v such that x(v) = 0.
0, 2
Suppose 0 = c - 3*j + 17, 0 = c - 5*j + 13 + 12. Let z be 2*((-2)/c + 0). Suppose 2/5*o - z*o**2 + 0 + 2/5*o**3 = 0. Calculate o.
0, 1
Factor 2/7*j**2 - 4/7*j + 2/7.
2*(j - 1)**2/7
Let j = 2019/1612 - 1/403. Factor -g**2 + 1/4*g**3 + j*g - 1/2.
(g - 2)*(g - 1)**2/4
Let c(l) be the second derivative of l**5/10 - l**4/12 - l**3/6 + 34*l. Suppose c(t) = 0. Calculate t.
-1/2, 0, 1
Let v be 1 + (6/21 - (-791)/147). Let t = -446/3 + 150. Let 25/3*a**3 + t*a - v*a**2 + 0 = 0. Calculate a.
0, 2/5
Factor -2/5*z**2 + 4*z - 10.
-2*(z - 5)**2/5
Let p(l) be the third derivative of l**7/42 - 5*l**6/12 + 3*l**5 - 35*l**4/3 + 80*l**3/3 - 11*l**2. Solve p(n) = 0 for n.
2, 4
Let b(n) be the first derivative of -n**3/6 - n**2/2 - n/2 - 11. Determine z, given that b(z) = 0.
-1
Let y(w) be the third derivative of 0 - 9*w**2 - 1/110*w**5 + 0*w + 1/11*w**3 + 1/660*w**6 - 1/132*w**4. Let y(f) = 0. What is f?
-1, 1, 3
Let o(a) be the third derivative of -7/720*a**6 - 4*a**2 - 11/144*a**4 + 2/45*a**5 + 0*a + 1/18*a**3 + 0. Factor o(c).
-(c - 1)**2*(7*c - 2)/6
Let i(r) be the first derivative of 2*r**5/25 + r**4/5 + 2*r**3/15 + 11. Factor i(o).
2*o**2*(o + 1)**2/5
Let p(s) = -3*s**5 - 36*s**4 - 81*s**3 - 147*s**2 - 90*s - 18. Let t(a) = -a**4 + a**3 - a**2 + a + 1. Let b(o) = -p(o) + 9*t(o). Suppose b(d) = 0. Calculate d.
-3, -1
Suppose -3*k - 2 = b + b, -k - 3*b = 10. Suppose -3*u + 6 + 6 = 0. Factor v**u + 0*v**2 + 4 + 13*v**k + 7*v