 + 1/5*n + 2/5*n**5 + 1/5*n**4 - 1/5*n**2 = 0.
-1, 0, 1/2, 1
Suppose 0 = -4*g - o + 4*o + 84, -4*g + 4*o + 84 = 0. Suppose g = -4*f + 37. Factor 4/3*u**5 + 0 + 12*u**3 - 20/3*u**f + 8/3*u - 28/3*u**2.
4*u*(u - 2)*(u - 1)**3/3
Let g = -3866 + 3869. Solve -24/11*n + 16/11 - 2/11*n**g + 12/11*n**2 = 0 for n.
2
Let m(i) be the first derivative of -2/25*i**5 - 20 + 1/5*i**4 + 0*i + 2/5*i**3 + 0*i**2. Factor m(y).
-2*y**2*(y - 3)*(y + 1)/5
Let h = 39943 + -159769/4. Factor -9/4*p - 3 + h*p**2.
3*(p - 4)*(p + 1)/4
Let x = 2107/11 - 2251/11. Let i = -410/33 - x. Solve i*c - 8/3*c**2 + 4*c**3 - 8/3*c**4 + 0 + 2/3*c**5 = 0 for c.
0, 1
Let i be (-2)/9*1 + 20/9. Factor 4*v**5 - 12*v**3 + 8*v - v**4 - 3*v**4 - 19*v**2 + 23*v**i.
4*v*(v - 2)*(v - 1)*(v + 1)**2
Let q(y) be the first derivative of y**7/105 + 7*y**6/60 + 3*y**5/10 - 9*y**4/4 - 18*y**3 + y**2/2 - 2. Let p(z) be the second derivative of q(z). Factor p(s).
2*(s - 2)*(s + 3)**3
Let j = 37741/60 + -629. Let b(v) be the third derivative of 0*v**3 + 1/12*v**4 - 1/15*v**5 + 0 + 0*v - 6*v**2 + j*v**6. Solve b(w) = 0 for w.
0, 1
Let o = -45 + 49. Factor -o*k - 8*k**3 - 3*k**4 + k**4 + 204*k**2 - 214*k**2.
-2*k*(k + 1)**2*(k + 2)
Let q(w) be the third derivative of -w**5/90 + 7*w**4/6 - 41*w**3/9 - 53*w**2 - 1. Factor q(u).
-2*(u - 41)*(u - 1)/3
Let j = -9 - -9. Suppose -v - 3*c = j, -2*v - 5*c = -7*v. Factor 0*h - 1/4*h**3 + v*h**2 + 0.
-h**3/4
Let n(u) = -u**2 - 4*u + 2. Let f(a) = 2*a**2 + 12*a - 6. Suppose 0*b + 8*b = -64. Let m(v) = b*n(v) - 3*f(v). Solve m(g) = 0.
1
Let u(a) be the first derivative of -a**6/10 - 3*a**5/10 - 3*a - 2. Let c(t) be the first derivative of u(t). Factor c(o).
-3*o**3*(o + 2)
Let u(n) = 3*n - 17. Let g be u(7). Let x be (-7)/((-455)/270) - g/26. Factor -x*f**2 - 7/2*f + f**4 + 1/2*f**5 - 1 - f**3.
(f - 2)*(f + 1)**4/2
Suppose 7*q = -8*q + 90. Let n(h) be the third derivative of 1/112*h**8 + 3*h**2 + 1/14*h**7 + 1/2*h**5 + 1/4*h**q + 5/8*h**4 + 1/2*h**3 + 0 + 0*h. Factor n(v).
3*(v + 1)**5
Let t(x) = -7 + x - 4*x - 5. Let l be t(-8). Factor -349*q**2 - 154*q - 158*q**2 - 2*q - l.
-3*(13*q + 2)**2
Let c(y) be the second derivative of -y**6/180 + y**5/12 - y**4/3 - 23*y**3/6 - 14*y. Let j(i) be the second derivative of c(i). Solve j(r) = 0.
1, 4
Let c(n) be the first derivative of 4*n**5/25 - 33*n**4/20 + 11*n**3/5 + 17*n**2/10 - 21*n/5 + 174. Suppose c(b) = 0. What is b?
-3/4, 1, 7
Let p be (-580)/58 + 24/2. Solve -1/2*h**p + 3/4*h**4 - 1/4*h**3 + 0*h + 0 = 0.
-2/3, 0, 1
Suppose v - 4*v = 51. Let f = -10 - v. Factor a**2 + 2*a**5 + a**3 + f*a**4 - 8*a**4 - 3*a**5.
-a**2*(a - 1)*(a + 1)**2
Let d = -5315 + 21261/4. Let 0*x**3 + 0*x + 0 - 1/2*x**4 - d*x**5 + 0*x**2 = 0. Calculate x.
-2, 0
Factor -384/7*i + 0 + 20/21*i**4 + 46/21*i**3 - 2/21*i**5 - 160/7*i**2.
-2*i*(i - 8)**2*(i + 3)**2/21
Let o(g) = -4*g + 12*g - 2 - 6*g. Let a be o(2). Suppose 3*l**2 + 2*l**2 - 4*l**a - 2*l = 0. What is l?
0, 2
Let s(n) = -n**4 - 2*n**3 + n**2 + 2*n + 1. Let k(d) = 40*d**4 + 284*d**3 + 569*d**2 + 82*d - 7. Let x(o) = -k(o) - 7*s(o). Factor x(m).
-3*m*(m + 4)**2*(11*m + 2)
Let q(z) be the second derivative of -z**7/105 + z**6/80 + z**5/120 + 20*z**2 + 32*z. Let s(d) be the first derivative of q(d). What is a in s(a) = 0?
-1/4, 0, 1
Let o(r) = -r - 1. Let w be o(-4). Suppose w*y - 2 = 2*y. Determine l so that -7*l**2 + 23*l**y - 6*l + 11*l**2 = 0.
0, 2/9
Let t = -84 - -82. Let b be 3 + t - 2/(-2). What is g in 3/4*g**5 + 0*g + 0 - 1/4*g**4 - 3/4*g**3 + 1/4*g**b = 0?
-1, 0, 1/3, 1
Let g be 6/75 - (-38)/(-600). Let f(b) be the third derivative of -1/210*b**7 + 6*b**2 + 0*b + 0*b**3 + 0 - 1/120*b**6 + g*b**5 + 1/24*b**4. Factor f(z).
-z*(z - 1)*(z + 1)**2
Factor -40*a**2 - 5 + 45/2*a + 5/2*a**5 - 15*a**4 + 35*a**3.
5*(a - 2)*(a - 1)**4/2
Let n(c) = 2*c**5 - 6*c**4 + 6*c**3 - 7*c**2 - 5*c + 5. Let l(m) = -2*m**5 + 6*m**4 - 6*m**3 + 8*m**2 + 6*m - 6. Let v(u) = -5*l(u) - 6*n(u). Solve v(x) = 0.
0, 1
Let n(i) be the third derivative of -i**5/100 + 7*i**4/20 - 13*i**3/10 + 4*i**2 - 3. Let n(p) = 0. What is p?
1, 13
Let l(r) be the second derivative of 1/25*r**5 + 0 - 2/15*r**3 + 3*r + 0*r**2 + 0*r**4. Factor l(k).
4*k*(k - 1)*(k + 1)/5
Let u be (-4)/(74 + -2)*-3. Let w be (-20)/(-6)*3/2. Factor 1/2*y**4 - u*y**w + 1/6*y**2 + 0 - 1/2*y**3 + 0*y.
-y**2*(y - 1)**3/6
Suppose 5*d**2 + 70*d - 2*d**2 + d**2 + 4*d**2 - 3*d**2 + 120 = 0. What is d?
-12, -2
Let n(x) be the third derivative of -x**5/330 - 8*x**2. Solve n(u) = 0 for u.
0
Let d(x) be the third derivative of 0 + 5/12*x**4 + 2*x**2 - 1/12*x**5 + 0*x**3 + 0*x. Factor d(t).
-5*t*(t - 2)
Solve -72/5 - 3/5*z**3 - 36/5*z**2 - 21*z = 0 for z.
-8, -3, -1
Let o(h) = 6*h**2 + 2*h + 8. Let m(s) = -2*s + 14. Let c be m(11). Let g(r) = 4*r**2 + r + 5. Let q(y) = c*g(y) + 5*o(y). Suppose q(b) = 0. Calculate b.
0, 1
Let v(p) = 8*p**2 + 36*p + 52. Let z(o) = -o**2 - o + 3. Let k(b) = v(b) + 4*z(b). Factor k(u).
4*(u + 4)**2
Suppose -22 = 3*z - 7. Let v(u) = 4*u**5 - 3*u**3 + 3*u + 3. Let j(w) = -7*w**5 + 5*w**3 - 5*w - 5. Let x(b) = z*v(b) - 3*j(b). Let x(t) = 0. What is t?
0
Let i(w) = -7*w**3 - 25*w**2 - 101*w - 71. Let y(u) = 36*u**3 + 123*u**2 + 504*u + 354. Let b(g) = -21*i(g) - 4*y(g). Factor b(n).
3*(n + 1)*(n + 5)**2
Suppose -w - 6*t = -32, 2*w - 7 - 17 = -4*t. Solve 21/5*p + 0 - 3/5*p**w = 0 for p.
0, 7
Factor -2/13*x**4 + 0*x**3 - 512/13 + 0*x + 64/13*x**2.
-2*(x - 4)**2*(x + 4)**2/13
Let n be -3 - 10/(-1 - 1). Let g = n + -6. Let y(w) = -8*w**2 + 48*w - 72. Let r(m) = 4*m**2 - 24*m + 36. Let i(o) = g*y(o) - 7*r(o). Factor i(d).
4*(d - 3)**2
Let x = 16 + -12. Let f(s) be the first derivative of 2/25*s**5 + 0*s**3 + 0*s**2 - 2 + 1/10*s**x + 0*s. Solve f(q) = 0.
-1, 0
Factor -z**2 - 52*z**5 - 3*z**2 + 70*z**5 - 342*z**5 + 63*z**4 + 20*z**3.
-z**2*(4*z + 1)*(9*z - 2)**2
Suppose 6*w - 27 = -9. Let x = -1 + w. Factor -4*h + h - 2 + h**2 + x*h + 0*h.
(h - 2)*(h + 1)
Let i be (-1)/(4/(-9))*(3 - -21). Factor -52*q**2 + i*q**2 - 8*q + 4 + 2.
2*(q - 3)*(q - 1)
Let y(a) be the third derivative of 0*a**3 + 1/180*a**5 + 17*a**2 + 0*a + 1/18*a**4 + 0. What is s in y(s) = 0?
-4, 0
Let q(x) be the third derivative of x**7/840 + x**6/120 + x**5/80 - x**4/24 - x**3/6 - 288*x**2. Find y such that q(y) = 0.
-2, -1, 1
Let u(n) be the first derivative of -3 + 8*n + 6*n**2 + 76*n**4 - 77*n**4 + 18. Factor u(j).
-4*(j - 2)*(j + 1)**2
Suppose 2*n + 2 = -5*u + 16, -6*u = -2*n - 8. Factor 0 + 2/11*c**3 - 4/11*c**n + 2/11*c.
2*c*(c - 1)**2/11
Let l(o) be the second derivative of 1/8*o**3 - 2*o**2 + 1/240*o**5 + 1/480*o**6 + 0 - 5/96*o**4 + 8*o. Let z(h) be the first derivative of l(h). Factor z(q).
(q - 1)**2*(q + 3)/4
Let m(t) be the second derivative of t**3 + 3/2*t**2 + 1/4*t**4 + 3*t + 0. Find r, given that m(r) = 0.
-1
Let w = 33 - -75. Let u = -970/9 + w. Factor u*o - 2/9*o**2 + 0.
-2*o*(o - 1)/9
Suppose 0 = x + 2*m - 328, -m - 3*m - 4 = 0. Let y = x - 326. Suppose 9/4 - 3/4*h**y - 3*h**3 + 3*h - 3/2*h**2 = 0. Calculate h.
-3, -1, 1
Let n(f) = 144*f**5 + 813*f**4 + 708*f**3 + 9*f**2 - 42*f + 24. Let s(o) = -o**5 - o**4 + o - 2. Let g(z) = n(z) + 12*s(z). Determine a, given that g(a) = 0.
-5, -1, -1/4, 0, 2/11
Let z(r) = 5*r**4 + 3*r**2 + 4. Let d(y) be the first derivative of -9*y**5/5 - 5*y**3/3 - 7*y - 11. Let p(n) = 4*d(n) + 7*z(n). Let p(b) = 0. What is b?
-1, 0, 1
Determine o, given that 1476/7*o**4 - 16/7 - 20/7*o**2 - 780/7*o**3 - 108*o**5 + 96/7*o = 0.
-1/3, 2/7, 1/3, 2/3, 1
Let u be (250/(-500))/(-2*(-2)/(-40)). Solve 0*a**2 + 1/2*a**4 + 0 - 1/4*a**u + 0*a + 3/4*a**3 = 0.
-1, 0, 3
Let a be ((-36)/63)/((-612)/1190). Find z, given that -a*z**3 - 8/9*z + 0 + 14/9*z**4 - 32/9*z**2 = 0.
-1, -2/7, 0, 2
What is y in -196/5*y**5 - 48 - 1408/5*y + 3204/5*y**3 - 1052/5*y**2 - 308/5*y**4 = 0?
-5, -2/7, 1, 3
Let a = -517 + 522. Let j(i) be the second derivative of 1/84*i**7 + 1/60*i**6 + 1/12*i**3 - 1/12*i**4 + 1/4*i**2 - 1/20*i**a - 3*i + 0. Factor j(n).
(n - 1)**2*(n + 1)**3/2
Find l such that 9*l**3 - 12*l**4 - 8*l**3 - 7*l**3 + 36*l**2 + 27*l + 3*l**5 = 0.
-1, 0, 3
Let d(j) be the first derivative of -j**6/12 - 11*j**5/30 - 5*j**4/24 + j**3/6 + 22. Solve d(t) = 0 for t.
-3, -1, 0, 1/3
Let g(c) be the first derivative of -3 + 5*c**3 + 13/2*c**2 + 5*c + 3*c**4. Let t(v) =