et v = 16589/9 - 1843. Let 4/3*b + 0 - v*b**3 - 2/9*b**2 = 0. Calculate b.
-3, 0, 2
Let x(d) be the first derivative of -2*d**6/3 - 24*d**5/5 - 8*d**4 + 8*d**3 + 18*d**2 + 73. Suppose x(b) = 0. Calculate b.
-3, -1, 0, 1
Let d(h) be the third derivative of -h**8/26880 - h**7/1680 - h**6/240 + 3*h**5/20 + 11*h**2. Let k(t) be the third derivative of d(t). Factor k(b).
-3*(b + 2)**2/4
Let u = -221 + 23206/105. Let i(o) be the third derivative of 1/168*o**8 - u*o**5 - 16/735*o**7 + 0*o**4 + 0*o**3 + 0*o + 0 + 11/420*o**6 + 3*o**2. Factor i(p).
2*p**2*(p - 1)**2*(7*p - 2)/7
Factor 867/8*k**2 + 3/2 - 51/2*k.
3*(17*k - 2)**2/8
Let b(s) be the second derivative of 8/3*s**3 - 1/6*s**6 + 2/7*s**7 - 15*s - 3/4*s**4 + 0 + 2*s**2 - 19/10*s**5. Solve b(u) = 0.
-1, -1/4, 2/3, 2
Let s(k) = -k**3 - 4*k**2 - 5. Let w be s(-5). Suppose w = -27*c + 31*c. Determine u, given that -u - c*u**2 - 4*u + 5 + 8*u**3 - 3*u**3 = 0.
-1, 1
Let k(o) = 34*o - 3*o**5 + 2*o**5 + o**3 - 35*o. Let i(u) = -7*u**5 - 2*u**4 + 7*u**3 + 2*u**2 - 6*u. Let v(x) = i(x) - 6*k(x). Let v(g) = 0. What is g?
-2, -1, 0, 1
Suppose -59*u = -55*u - 152. Suppose u*y - 56*y + 0*y**2 + 15 + 3*y**2 + 0*y**2 = 0. What is y?
1, 5
Let c(v) be the first derivative of -7*v**6/180 - 11*v**5/90 - v**4/9 - 7*v**2/2 - 13. Let x(u) be the second derivative of c(u). Factor x(k).
-2*k*(k + 1)*(7*k + 4)/3
Let n(u) be the first derivative of -3/2*u**4 - 23 + 6*u**2 - 3/5*u**5 + 3*u**3 - 12*u. Factor n(d).
-3*(d - 1)**2*(d + 2)**2
Let d be (-1286)/28 - 24/42. Let m = -229/6 - d. What is s in -8/3*s**4 - 8/3 - 38/3*s**2 - 1/3*s**5 - 28/3*s - m*s**3 = 0?
-2, -1
Let h(d) = -41*d - 3606. Let g be h(-88). Factor 8/9*m - 2/9*m**g + 8/9 - 2/9*m**3.
-2*(m - 2)*(m + 1)*(m + 2)/9
Let k be (15/(-9))/(-5)*0. Let x(m) be the second derivative of 1/80*m**5 + k*m**2 + 0 + 0*m**3 + 0*m**4 + 8*m - 1/120*m**6. Factor x(o).
-o**3*(o - 1)/4
Let c be (-2)/(-6 - (-224)/40). Let v(n) be the second derivative of -5/4*n**4 + 4*n**3 + 3/20*n**c + 0 - 6*n**2 - n. Factor v(s).
3*(s - 2)**2*(s - 1)
Let a(n) = 176*n**2 + 1056*n + 1452. Let v(q) = -118*q**2 - 704*q - 968. Let t(w) = 5*a(w) + 8*v(w). Find y such that t(y) = 0.
-11/4
Let s = -4041 + 36371/9. Factor -2/9*b**3 + 0 + 0*b**2 + s*b.
-2*b*(b - 1)*(b + 1)/9
Let f be (-9)/27 - (2 - 172/12). Let d(c) be the second derivative of 0 + 8*c**2 + f*c + 1/3*c**4 + 10/3*c**3. Determine z so that d(z) = 0.
-4, -1
Let o = 566/831 - 4/277. Factor o*r**2 - 4/3*r - 2.
2*(r - 3)*(r + 1)/3
Let b(a) be the first derivative of -a**4/30 - 4*a**3/5 - 36*a**2/5 + 14*a + 7. Let y(o) be the first derivative of b(o). Factor y(p).
-2*(p + 6)**2/5
Let h(b) be the first derivative of -10 - 1/2*b**2 + 0*b**3 - 2/3*b + 1/12*b**4. Determine f, given that h(f) = 0.
-1, 2
Let 0 - 1/4*k**5 + 7/2*k**4 - 7/2*k**2 + 49/4*k - 12*k**3 = 0. Calculate k.
-1, 0, 1, 7
Suppose 0 = 5*r - 229 + 59. Let x be ((-17)/r)/((-2)/(-16)) - -4. Factor 0 - 2/5*w**5 + x*w**2 + 0*w - 4/5*w**4 - 2/5*w**3.
-2*w**3*(w + 1)**2/5
Suppose c - 6*c + 40 = 0. Factor 10 - 10 + c - 2*v**2.
-2*(v - 2)*(v + 2)
Let o = -33 + 35. Factor -h**3 + 29*h**3 - 4*h + 0*h - 4*h**3 - 6*h**o - 14*h**4.
-2*h*(h - 1)**2*(7*h + 2)
Let f = -127 - -131. Let d be (-3 + 2 - -2)*(f - 2). Factor 0 - 1/4*g**d + 1/4*g.
-g*(g - 1)/4
Let i(u) be the first derivative of 2*u**5/95 - 9*u**4/38 + 16*u**3/19 - 20*u**2/19 + 77. Suppose i(j) = 0. Calculate j.
0, 2, 5
Suppose 0 = -3*u - r + 33, r + 47 = 4*u + u. Suppose -u - 5 = -5*a. Solve 9/2 + a*d + 1/2*d**2 = 0.
-3
Let u(c) be the second derivative of 0*c**2 - 5/3*c**4 + 0 - 4/3*c**3 + 6/5*c**6 + 6/5*c**5 - 7*c. Suppose u(z) = 0. What is z?
-1, -1/3, 0, 2/3
Let g(o) be the second derivative of 0*o**3 + 0 + 0*o**2 - 1/112*o**7 + 9*o + 3/160*o**5 - 1/16*o**4 + 1/40*o**6. Find u such that g(u) = 0.
-1, 0, 1, 2
Let q(g) be the third derivative of -g**7/6300 + g**6/180 - g**5/12 - 11*g**4/24 - 6*g**2. Let n(m) be the second derivative of q(m). Factor n(l).
-2*(l - 5)**2/5
Suppose -6 = -5*v + 4. Determine n so that n**v - 3*n**2 + 5 + 7 - n**2 = 0.
-2, 2
Let i = -1990 - -1990. Suppose -4/9*v**2 - 2/9*v**4 - 2/3*v**3 + 0*v + i = 0. Calculate v.
-2, -1, 0
Let 105/2*t**4 - 495/2*t - 355*t**2 + 5/2*t**5 + 245*t**3 + 605/2 = 0. What is t?
-11, -1, 1
Let p = 984 + -979. Let f(n) be the second derivative of 1/6*n**4 - n**2 - 5*n - 1/10*n**p + 1/3*n**3 + 0. Factor f(l).
-2*(l - 1)**2*(l + 1)
Suppose 16 = 4*h, -q - 5*h + 22 + 5 = 0. Let b(m) be the third derivative of -q*m**2 - 3/8*m**4 + m**3 + 0 + 0*m + 1/20*m**5. Factor b(s).
3*(s - 2)*(s - 1)
Let c(t) be the third derivative of t**5/210 + 12*t**4/7 + 1728*t**3/7 + 13*t**2. Let c(k) = 0. What is k?
-72
Suppose 0 = -3*o + 15, 4*o - 18 = f. Suppose f*x = 2, -3*s + 0*s + 5*x + 4 = 0. Let -1/6*t**2 - 1/6*t**s + 1/6*t + 1/6 = 0. What is t?
-1, 1
Suppose -87 - 45 = -12*r. Factor -144 - r*y + 12*y**3 + 4*y**2 + 160 - 21*y.
4*(y - 1)*(y + 2)*(3*y - 2)
Let h(r) be the third derivative of -r**6/72 - r**5/24 + r**3/2 - 5*r**2. Let z(a) be the first derivative of h(a). Find b, given that z(b) = 0.
-1, 0
Let o(f) be the first derivative of -2*f**2 - 1/180*f**5 + 2 + 1/360*f**6 + 0*f**3 + 0*f + 0*f**4. Let k(i) be the second derivative of o(i). Factor k(d).
d**2*(d - 1)/3
Solve -18 + 5*o**3 - 13/2*o**2 - 30*o - 1/2*o**4 = 0.
-1, 6
Let q(d) be the second derivative of 1/60*d**4 - 1/10*d**2 + 0 + 7*d + 1/30*d**3 - 1/100*d**5. Factor q(p).
-(p - 1)**2*(p + 1)/5
Let z = 97 - 77. Suppose -10 = -6*l + z. Factor -2/3*s**l + 0*s - 2/3*s**2 + 2/3*s**3 + 0 + 2/3*s**4.
-2*s**2*(s - 1)**2*(s + 1)/3
Let 57/2*w + 3249/4 + 1/4*w**2 = 0. Calculate w.
-57
Let o(s) be the second derivative of s**6/960 - s**5/160 - 3*s**4/64 - 2*s**3/3 + 7*s. Let l(h) be the second derivative of o(h). Factor l(w).
3*(w - 3)*(w + 1)/8
Let 0 + 2/7*h**4 + 6*h**2 - 20/7*h - 24/7*h**3 = 0. What is h?
0, 1, 10
Let w = 55/57 + -12/19. Solve -w*p**4 + 1/3*p**5 + 2/3*p**2 - 1/3 - 2/3*p**3 + 1/3*p = 0 for p.
-1, 1
Let t(w) = -w**2 - 1. Let b(j) = 1 + 25*j**2 - 35*j**2 - 410 - 104*j - 273. Let o(l) = b(l) - 6*t(l). Factor o(s).
-4*(s + 13)**2
Suppose -5*u = z - 4*z - 37, -30 = 5*z - 2*u. Let m(c) = -2*c**2 + 4*c + 2 + 3 - 1. Let n(r) = r**2 - 4*r - 3. Let l(i) = z*n(i) - 3*m(i). Factor l(b).
2*b*(b + 2)
Let q(z) be the second derivative of -z**5/10 + z**4/2 + 3*z**3 + 5*z**2 - 2*z - 81. Factor q(b).
-2*(b - 5)*(b + 1)**2
Let v(s) = -s**5 - 17*s**4 + 65*s**3 - 72*s**2 - 51*s + 105. Let o(i) = -i**5 + i**4 - i**3 + i - 1. Let t(h) = -3*o(h) + v(h). Let t(q) = 0. Calculate q.
-1, 2, 3
Find f, given that 6*f**4 + f**4 - 4*f - 12*f**3 + 2*f**4 - 30*f**2 + 5*f**4 = 0.
-1, -1/7, 0, 2
Let n(m) be the third derivative of -m**5/24 + 145*m**4/6 - 16820*m**3/3 - 88*m**2 - 3*m. Suppose n(x) = 0. Calculate x.
116
Let k(h) be the first derivative of -h**4/8 + 5*h**3/6 - 2*h**2 + 2*h - 226. Factor k(f).
-(f - 2)**2*(f - 1)/2
Let n(y) be the second derivative of y**5/80 - 49*y**4/48 + 575*y**3/24 + 625*y**2/8 - 89*y + 2. Suppose n(h) = 0. Calculate h.
-1, 25
Let w(x) be the first derivative of x**4/16 - 3*x**3/8 - 15*x**2/4 - 27*x + 40. Let y(f) be the first derivative of w(f). Factor y(p).
3*(p - 5)*(p + 2)/4
Let t(a) be the second derivative of a**4/4 + a**3/2 - 9*a**2 + 37*a - 2. Find s such that t(s) = 0.
-3, 2
Suppose -2 - 15*t - t + 2*t**2 + 15 - 3 + 4 = 0. What is t?
1, 7
Let x = 56 - 20. Determine l, given that -x*l + 4*l**2 + 24*l + 16*l = 0.
-1, 0
Suppose 5*p + 1 - 11 = 0. Factor -4*u**p - 7*u - 15*u + 22*u.
-4*u**2
Let z(i) = -i**2 - 58*i - 63. Let t(s) = -15*s**2 - 755*s - 820. Let v(r) = 3*t(r) - 40*z(r). Let v(g) = 0. What is g?
-1, 12
Let u be 29/7 + ((-165)/(-21) - 8). Let m(v) be the second derivative of 0 + 4/11*v**3 + 6*v + 4/11*v**2 + 5/66*v**u. Let m(p) = 0. Calculate p.
-2, -2/5
Let r = 2162 - 21617/10. Factor r*n**3 + 0 - 1/10*n**2 - 3/10*n**4 + 0*n + 1/10*n**5.
n**2*(n - 1)**3/10
Suppose -6*x + 3 = -5*x. Suppose -x*s - 9 = 0, -5*o = -s - 15 - 8. Solve 0*c**5 + 2*c**5 - 3*c**o + 3*c**3 - 5*c**5 - 4*c**2 + 7*c**2 = 0.
-1, 0, 1
Factor -192/7*d**3 - 2*d**4 + 0 - 90*d**2 + 28*d.
-2*d*(d + 7)**2*(7*d - 2)/7
Factor -72*f**2 + 68*f**2 - 168*f + 330 - 2094.
-4*(f + 21)**2
Let k be (-194)/672 + 14/49. Let q = 933/112 - k. Determine c so that -2*c**2 - 1/3 