ose 0 - 9/5*a**3 - 23/5*a**2 - 3*a - 1/5*a**4 = 0. Calculate a.
-5, -3, -1, 0
Suppose -14*u - 2 = -15*u. Factor -2*p**2 + 6*p - 3*p**u - 16*p - 20 - 10*p.
-5*(p + 2)**2
Let j(r) be the third derivative of -1/420*r**6 + 1/1470*r**7 + 1/42*r**4 + 13*r**2 - 1/140*r**5 + 2/21*r**3 + 0 + 0*r. Factor j(k).
(k - 2)**2*(k + 1)**2/7
Suppose 43 = 3*x - 434. Let h = -157 + x. Let -9/5 + 3/5*t**h + 6/5*t = 0. What is t?
-3, 1
Let m(u) be the third derivative of u**5/90 - 5*u**4/36 - 104*u**3/9 + 433*u**2. Factor m(p).
2*(p - 13)*(p + 8)/3
Let p = 32 - 30. What is n in -6 + n**2 - 3*n - p*n**2 + 3*n**2 - n = 0?
-1, 3
Let m(u) be the second derivative of 0 - 2*u + 1/32*u**4 + 0*u**2 + 0*u**3 - 1/160*u**5. Factor m(p).
-p**2*(p - 3)/8
Factor 0 + 0*v - 2/3*v**2 + 2/3*v**3.
2*v**2*(v - 1)/3
Factor 11*v + 4*v**3 + 4 + 21/2*v**2 + 1/2*v**4.
(v + 1)**2*(v + 2)*(v + 4)/2
Let v = 8397/2 + -4197. Let 2*a**2 - v*a + 0 - 1/2*a**3 = 0. Calculate a.
0, 1, 3
Let w(s) be the first derivative of s**6/36 + 7*s**5/30 + 11*s**4/24 + 5*s**3/18 - 350. Suppose w(n) = 0. Calculate n.
-5, -1, 0
Let j(m) = m**2 - 19*m - 38. Let w be j(21). Factor 21*f**2 - 4*f + 0 + w - 44*f + 8.
3*(f - 2)*(7*f - 2)
Let d = 35/2 + -17. Suppose -199*n - 68*n + 632 = 49*n. Find x such that 5/6*x**3 + 1/6 - d*x**n - 1/3*x**4 - 1/6*x = 0.
-1/2, 1
Let c(i) be the second derivative of -i**5/360 - i**4/48 + i**3/9 + 10*i**2 - 9*i. Let d(o) be the first derivative of c(o). Suppose d(y) = 0. What is y?
-4, 1
Let o(i) be the first derivative of -i**8/560 + i**7/70 + i**6/60 - 3*i**5/10 - 9*i**4/8 + 6*i**3 + 8. Let g(f) be the third derivative of o(f). Factor g(u).
-3*(u - 3)**2*(u + 1)**2
Let j be (1035/35)/(6/(-21)). Let u = j + 104. Factor 0*i + 0 - u*i**2.
-i**2/2
Let u be (-14)/20 - 4/(-5). Let f(p) be the second derivative of 0 + 0*p**4 + 6*p + u*p**5 - p**3 - 2*p**2. Factor f(q).
2*(q - 2)*(q + 1)**2
Let z = 6 - -4. Let o be (-12)/30 + 34/z. Suppose o*n**3 - 3*n**5 + 0*n + 3*n**3 - 3*n = 0. Calculate n.
-1, 0, 1
Suppose -z + 4 = 16. Let v(r) = -r - 10. Let y be v(z). Factor -7*c**2 - 10*c**y + 22*c**2.
5*c**2
Let g be 72/(-234) - 128/(-78). Factor 0*x**4 + 0*x + g*x**5 + 0 + 0*x**2 - 4/3*x**3.
4*x**3*(x - 1)*(x + 1)/3
Let j(x) be the second derivative of -x**7/168 - x**6/60 + x**5/10 - x**4/24 - 7*x**3/24 + x**2/2 - 2*x - 2. Factor j(u).
-(u - 1)**3*(u + 1)*(u + 4)/4
Let w = 168 + -152. Let o be (-18)/(-5) - 6/(-15). Factor w*m**4 - 12*m**3 + o*m**2 - 4*m**2 - 4*m**2 + 0*m**2.
4*m**2*(m - 1)*(4*m + 1)
Let v(d) be the third derivative of -1/15*d**5 + 0*d + 0*d**4 + 0 + 2/3*d**3 + 10*d**2. Let v(x) = 0. What is x?
-1, 1
Let j(d) = -44*d**2 - 352*d + 2. Let r be j(-8). What is l in 20/9 - 34/9*l + 16/9*l**r - 2/9*l**3 = 0?
1, 2, 5
Let b(a) = -2*a**3 - 14*a**2 + 2*a + 16. Let q(r) = r**3 - 12*r**2 - 14*r + 6. Let m be q(13). Let f be b(m). Factor 0*t + 2/5*t**f - 2/5.
2*(t - 1)*(t + 1)/5
Suppose 2*h = -3*m + 16, 4*m - m = h + 10. Suppose -6*i**3 + i**2 + 5*i**3 - 3*i**h + 4*i**2 = 0. What is i?
0, 2
Let k(d) = -d**2 - 7*d + 7. Let t be k(-6). Suppose 2*g - 3*h = t, 5*g + 2*h - 3 = 1. Let -4*i**4 - i**3 - 6*i + 4*i**g + 9*i**3 - 2*i + 0*i = 0. Calculate i.
-1, 0, 1, 2
Let o(y) be the first derivative of 1/3*y**3 - 12 + 7/12*y**4 - 7/6*y**2 + 2/3*y - 1/3*y**5. Let o(c) = 0. Calculate c.
-1, 2/5, 1
Let w be (-98)/(-4410)*(2 - -13). Factor -5/3 + 3*q - q**2 - w*q**3.
-(q - 1)**2*(q + 5)/3
Suppose 53*a + 46*a - 297 = 0. Let h(u) = -u**2 - 5*u - 2. Let c be h(-3). Factor -1/3*n**c + 0 - 4/3*n**5 + 0*n**2 + 0*n + 0*n**a.
-n**4*(4*n + 1)/3
Factor -3*p**2 + 32 + 9*p - 5 - 7 - 8.
-3*(p - 4)*(p + 1)
Suppose 2*z = 3*j + 14, -4*z + 4 = -5*j - 26. Let r = -8 + z. Factor -4*v**5 + 9*v**3 + 6*v - 3*v**4 - 172*v**r + 187*v**2 + v**5.
-3*v*(v - 2)*(v + 1)**3
Factor 82/7 - 40/7*f**4 + 29*f - 44/7*f**3 + 118/7*f**2 + 1/7*f**5.
(f - 41)*(f - 2)*(f + 1)**3/7
Let x(w) = w + 1. Let s be x(0). Let j(a) = 9*a**2 - 21*a. Let i(n) = -1 - n + 4 - 4. Let g(b) = s*j(b) - 6*i(b). Solve g(u) = 0 for u.
2/3, 1
Let r(k) = -149*k + 1195. Let w be r(8). What is v in 48/5*v**2 + 4/5 + 6*v - 32/5*v**w = 0?
-1/4, 2
Let j(l) be the third derivative of l**5/60 + 37*l**4/3 + 10952*l**3/3 + 464*l**2. What is b in j(b) = 0?
-148
Suppose 0 = x + 3*r - 6, -21*r = 3*x - 25*r - 5. Let c(u) be the second derivative of -1/3*u**2 + 4/27*u**x - 1/54*u**4 + 0 + 4*u. Factor c(f).
-2*(f - 3)*(f - 1)/9
Let c = -311 - -1564/5. Let g = 13 - 11. Let -9/5*a**3 + 0*a + 0 + 3/5*a**g - 3/5*a**5 + c*a**4 = 0. Calculate a.
0, 1
Let o(c) be the second derivative of -1/36*c**4 + 0 + 2/3*c**2 + 1/6*c**3 + 29*c. Factor o(d).
-(d - 4)*(d + 1)/3
Let q(f) = 440*f**2 + 12092*f - 12. Let a(v) = v**3 + 440*v**2 + 12094*v - 9. Let o(t) = 4*a(t) - 3*q(t). Let o(s) = 0. Calculate s.
-55, 0
Let q(z) be the second derivative of 0*z**4 + 0*z**2 - 3/2*z**3 - 5*z - 1/1440*z**6 + 0 + 1/120*z**5. Let v(n) be the second derivative of q(n). Factor v(d).
-d*(d - 4)/4
Let 100/7*p**2 - 768/7*p - 4/7*p**3 + 1872/7 = 0. Calculate p.
6, 13
Let p = -134/13 - -1621/156. Let s(u) be the third derivative of -u**2 - p*u**3 + 0 + 1/240*u**5 + 0*u - 1/96*u**4. Factor s(x).
(x - 2)*(x + 1)/4
Let l(z) = 108*z**2 + 100*z - 8. Let y(u) = 755*u**2 + 700*u - 55. Let d = -137 - -134. Let k(j) = d*y(j) + 20*l(j). Factor k(s).
-5*(s + 1)*(21*s - 1)
Let n be ((247/52)/19)/2. Factor 1/2*h**2 + n*h**3 + 1/4 + 5/8*h.
(h + 1)**2*(h + 2)/8
Let g = -9 + 10. Suppose -6 - g = -y. Factor -219*r**2 + 213*r**2 - 5*r**3 + 3*r**5 - y*r**3 + 3*r**3.
3*r**2*(r - 2)*(r + 1)**2
Let q(f) be the second derivative of 10*f**2 + 5/12*f**4 + 0 + 10/3*f**3 - f. Let q(n) = 0. What is n?
-2
Suppose -22 = -2*o - 16. Let -20 + 15*y**4 - 12*y**2 - 3*y**2 - 10*y**o - 10*y**4 + 40*y = 0. Calculate y.
-2, 1, 2
Let q be (-3)/(-2) - 21/14. Suppose q = x - 54 - 6. Factor -5*k + 12*k**2 - x*k**3 - 2*k**2 + 55*k**3.
-5*k*(k - 1)**2
Let o(l) be the second derivative of 2*l**4/3 - l**3/3 + l**2 + 7*l. Let a be o(1). Determine n, given that a - 10 - 5*n**4 + 2 + 2*n**3 = 0.
0, 2/5
Suppose -x - 9 = 2*x, -3*x + 31 = 2*u. Suppose -33*z + u*z - 15*z**3 + 5*z**5 + 23*z - 5*z**4 + 5*z**2 = 0. Calculate z.
-1, 0, 1, 2
Let a be (-30)/(-4) - (-9)/(-6). Find t such that -4*t**2 + a*t**4 + 6*t**3 - 16*t**2 + 4*t**4 - 15*t - t**3 = 0.
-1, 0, 3/2
Let o(x) be the first derivative of 0*x + 0*x**2 - 1 - 1/16*x**4 - 1/12*x**3. Solve o(d) = 0 for d.
-1, 0
Suppose 0*b + 2 = -w + b, 2*w - 24 = -5*b. Solve o**w + 12*o + 12 - 22 - 3*o**2 = 0.
1, 5
Factor 0*a + 0 - 6/5*a**2 - 6/5*a**4 + 12/5*a**3.
-6*a**2*(a - 1)**2/5
Let v(k) = 3*k**4 + 18*k**3 + 21*k**2 + 12. Let q(b) = 3*b**4 + 17*b**3 + 20*b**2 + b + 10. Let a(c) = 6*q(c) - 5*v(c). Factor a(u).
3*u*(u + 1)**2*(u + 2)
Suppose -16 = -g + 4*w, 0 = -2*w - 13 + 7. What is i in i**3 + 0 + 2/5*i**2 + 4/5*i**g + 0*i + 1/5*i**5 = 0?
-2, -1, 0
Solve -8/3*h**2 + 0 - 2/3*h**3 + 10/3*h**4 + 0*h = 0 for h.
-4/5, 0, 1
Let s(n) be the second derivative of 0 - 16*n - 35/2*n**2 - 5/8*n**4 - 115/12*n**3. Let s(m) = 0. Calculate m.
-7, -2/3
Let d(q) be the second derivative of -3*q**5/40 + 3*q**4/8 + q**3/4 - 9*q**2/4 - 95*q. Factor d(t).
-3*(t - 3)*(t - 1)*(t + 1)/2
Let u be ((-6)/12)/((-2)/8). Let v(n) = 4*n**2 - 6. Let z(w) = 0*w - 2 + 3 - w - w**2. Let t(a) = u*z(a) + v(a). Factor t(g).
2*(g - 2)*(g + 1)
Suppose 8 - 24 = 4*f. Let r(d) = -3*d**2 - 13*d + 8. Let v(m) = 2*m**2 + 12*m - 8. Let l(p) = f*r(p) - 5*v(p). Factor l(h).
2*(h - 2)**2
Let f(c) be the first derivative of -1/3*c**3 + 3/4*c**2 - 1/2*c - 1/4*c**4 - 11 + 3/10*c**5 - 1/12*c**6. Factor f(n).
-(n - 1)**4*(n + 1)/2
Let j(a) be the second derivative of 4*a**7/21 - 2*a**6 + 36*a**5/5 - 9*a**4 - 5*a + 14. Factor j(i).
4*i**2*(i - 3)**2*(2*i - 3)
Factor -127*p**2 - p**4 - 8*p**3 + 2*p**4 + 123*p**2 + 5*p**5 + 2*p**4 + 4*p**4.
p**2*(p - 1)*(p + 2)*(5*p + 2)
Suppose -3*k = -2*h, 0 = 95*k - 96*k - 2*h. Let 17/4*y**3 + 5/4*y**5 - y + 0*y**2 + k - 9/2*y**4 = 0. Calculate y.
-2/5, 0, 1, 2
Let k(d) be the first derivative of d**8/560 - d**7/140 + d**6/120 - 16*d**3/3 - 6. Let p(v) be the third derivative of k(v). Factor p(y).
3*y**2*(y - 1)**2
Let o be (1 + 1)/((-2)/(-4)). Suppose 5*v - o*v - 7 = 0. Solve -5*d**2 - 3*d**4 - 4*d**4 + 3*d**2 + 2*d**4 - v*d**3 = 0.
-1, -2/5, 0
Let x(k)