1 - -63. Let n be (o/16)/3 + 1/4. Let -6*u**3 - 6*u + n + 3/2*u**4 + 9*u**2 = 0. What is u?
1
Solve -147*x**2 - 36 - 19*x**3 + 168*x + 7*x**3 + 13*x**4 + 6*x**3 + 8*x**4 = 0.
-3, 2/7, 1, 2
Let w be (-3913)/(-1118) + 31/(-10). Factor -1/5*z**3 - w + 3/5*z + 0*z**2.
-(z - 1)**2*(z + 2)/5
Suppose -2/3*h**2 + 0 - 16/3*h = 0. Calculate h.
-8, 0
Suppose 486 = 3*n + 474. Let y(i) be the second derivative of -1/84*i**n + 12*i + 0 - 1/7*i**3 - 9/14*i**2. Factor y(g).
-(g + 3)**2/7
Let z(q) be the first derivative of 4*q**3/3 - 24*q**2 + 108*q - 126. Determine w so that z(w) = 0.
3, 9
Let c be (-4)/16 + 1*(-1)/(-4). Let n(o) be the second derivative of -3/28*o**4 + 3/35*o**5 - 4*o + c*o**2 - 1/14*o**3 + 0. Suppose n(m) = 0. Calculate m.
-1/4, 0, 1
Let f(o) be the first derivative of o**7/735 - o**6/210 + 7*o**2 - 13. Let q(g) be the second derivative of f(g). Factor q(i).
2*i**3*(i - 2)/7
Let x(w) be the third derivative of w**6/30 - w**5/5 + 8*w**3/3 - w**2 + 159. Factor x(g).
4*(g - 2)**2*(g + 1)
Suppose -y + 5*p = -6 + 1, 5*p = -15. Let t be 8/40 - 28/y. Determine m, given that 2/11*m**t - 2/11*m + 4/11*m**2 - 4/11 = 0.
-2, -1, 1
Let s = 46399/13 - 3569. Suppose 1 = 2*j - 3. Factor s*h**3 - 6/13*h**j - 2/13 + 6/13*h.
2*(h - 1)**3/13
Let z(j) be the third derivative of 0*j - 2 - 17*j**2 + 4/15*j**3 + 7/60*j**4 - 1/75*j**5. Solve z(f) = 0.
-1/2, 4
Suppose -43*b + 3 = -42*b. Factor 3*z**4 + 22 + 4*z**b - z**4 - 22 - 6*z**2.
2*z**2*(z - 1)*(z + 3)
Let y(n) be the second derivative of n**4/12 + n**3/2 - 5*n**2 + 65*n. Factor y(p).
(p - 2)*(p + 5)
Suppose 0 = -h - d + 1, 5*d + 14 = 4. Let q(r) be the second derivative of -r + 1/6*r**4 + 0 + 2/3*r**h + 0*r**2. Factor q(n).
2*n*(n + 2)
Let u = 51 - 27. Factor -3*m**2 + u - 6*m + 25 - 52.
-3*(m + 1)**2
Let o(u) = -u**2 - 7*u - 1. Let d be o(-3). Factor 2*i + 3*i**3 - 3*i**3 - 2*i**3 - 4*i**2 + d - 7.
-2*(i - 1)*(i + 1)*(i + 2)
Factor -3*m**3 + 68*m**4 + 4*m**3 - m**5 - m**2 - m**2 - 66*m**4.
-m**2*(m - 2)*(m - 1)*(m + 1)
Suppose 2/9*b**2 + 208/9*b - 70/3 = 0. Calculate b.
-105, 1
Let u be (9/21)/((-189)/(-882)). Suppose -2/7*a**4 + 4/7*a**3 - 24/7*a + 22/7*a**u - 72/7 = 0. What is a?
-2, 3
Let n = -29832 + 29832. Suppose 0*q**2 + 0*q + 2/5*q**3 + n - 2/5*q**4 = 0. Calculate q.
0, 1
Factor 0 - 22/7*u - 2/7*u**3 - 24/7*u**2.
-2*u*(u + 1)*(u + 11)/7
Let m be -1*(-6)/4 - (-1943)/58. Suppose 4*k**2 - 5*k**2 - 3 + 172*k - m*k**2 + 43 = 0. Calculate k.
-2/9, 5
Let h(a) be the first derivative of a**4/72 + a**3/36 - 7*a + 18. Let i(t) be the first derivative of h(t). Factor i(y).
y*(y + 1)/6
Let t = 208 - 1868/9. Let j(c) be the second derivative of -4/27*c**3 - 2*c + 0 + 1/54*c**4 + t*c**2. Suppose j(l) = 0. What is l?
2
Suppose 34*f - 170*f = 0. Factor -1/6*z**3 - 3/2*z**2 - 4/3*z + f.
-z*(z + 1)*(z + 8)/6
Let f(u) be the first derivative of 4096*u**4 - 3072*u**3 + 864*u**2 - 108*u - 126. Determine j, given that f(j) = 0.
3/16
Let y(i) = 4*i + i**2 - 1 + 2*i - i**3 - i**4 - 5*i. Let k(v) = -24*v**4 + 48*v**3 - 8*v**2 - 16*v + 4. Let s(j) = k(j) + 4*y(j). Factor s(w).
-4*w*(w - 1)**2*(7*w + 3)
Let g(f) = 3 + 5*f**2 + f - 4 - 4*f**2 - f**3. Let t(k) = -2*k**3 + k**2 + 2*k - 1. Let d be 1/(2/(0 - 6)). Let u(h) = d*g(h) + 3*t(h). Factor u(c).
-3*c*(c - 1)*(c + 1)
What is o in -23*o**3 - o**5 + 42956*o - 11*o**2 - 13*o**4 - 42956*o = 0?
-11, -1, 0
Let n(x) be the second derivative of -5/24*x**4 - 1/2*x**2 + 3/4*x**3 - 6*x + 0 + 7/60*x**6 - 9/40*x**5. Suppose n(p) = 0. Calculate p.
-1, 2/7, 1
Factor 3/8*u**4 + 1911/8*u**2 + 7203/2 - 3087/2*u - 63/4*u**3.
3*(u - 14)**2*(u - 7)**2/8
Let d(i) be the second derivative of i**7/210 - i**6/75 - i**5/25 + i**4/30 + i**3/10 - 105*i + 1. Find h, given that d(h) = 0.
-1, 0, 1, 3
Determine m, given that 134/5 - 1/5*m**2 - 133/5*m = 0.
-134, 1
Let l = 17 - 19. Let c(q) = -q**2 - 4*q - 1. Let i be c(l). Factor 2/11*h**i + 2/11 + 6/11*h + 6/11*h**2.
2*(h + 1)**3/11
Let v(y) = y**3 - 28*y**2 - 27*y + 64. Let x(r) = r**3 + r. Let w(a) = -v(a) + 5*x(a). Solve w(m) = 0 for m.
-4, 1
Let m be (-6)/(-14) + 53098/13370. Factor -s**2 - m*s - 8/5.
-(s + 4)*(5*s + 2)/5
Let v = 9/50 + -2549/50. Let x = v + 54. Factor -x*s**2 + 324/5*s**5 - 128/5*s**3 + 0*s - 36*s**4 + 0.
4*s**2*(s - 1)*(9*s + 2)**2/5
Suppose -6*f + 680 = -11*f. Let n be 4/(-1) + f/(-32). Factor 1/4*k**2 + n + 1/2*k.
(k + 1)**2/4
Let y(r) = r + 12. Let v be y(-12). Determine d so that 43*d**2 - 4*d + 21*d**4 - 8 + v*d**4 + 4 + 64*d**3 = 0.
-2, -1, -1/3, 2/7
Let z(m) be the third derivative of -m**8/10080 - m**7/3780 + m**6/1080 + m**5/180 - m**4/6 - 4*m**2. Let n(a) be the second derivative of z(a). Solve n(r) = 0.
-1, 1
Let o be (6*1)/(10/60). Solve -24*v**3 + 4*v**4 - 4*v**2 - v + o*v**3 - 11*v = 0.
-3, -1, 0, 1
Let f(r) be the third derivative of -12*r**2 + 2/21*r**3 + 1/84*r**4 - 1/210*r**5 + 0 + 0*r. Factor f(m).
-2*(m - 2)*(m + 1)/7
Let u = 16 - 13. Let q(j) be the second derivative of 0 + 5/36*j**4 - 7/18*j**u + 2*j + 1/3*j**2. Factor q(y).
(y - 1)*(5*y - 2)/3
Let g(h) be the second derivative of 0*h**2 + 0 + 1/150*h**5 + 1/90*h**4 - 1/45*h**3 - 1/225*h**6 - 27*h. Factor g(l).
-2*l*(l - 1)**2*(l + 1)/15
Factor 0*x + 198*x**2 + 5*x - 195*x**2 + 25*x.
3*x*(x + 10)
Factor 6/7*y**2 - 2 - 40/7*y.
2*(y - 7)*(3*y + 1)/7
Let g(j) be the third derivative of -j**5/540 + 5*j**4/36 + 31*j**3/54 - j**2 - 2. Factor g(i).
-(i - 31)*(i + 1)/9
Factor 2/15*h**2 + 6/5 - 4/3*h.
2*(h - 9)*(h - 1)/15
Let n = -732 - -732. Let p(a) = -a**2 - 8*a - 3. Let s be p(-5). Let 0*m**2 + n*m**2 + m**2 + 2*m**2 - s*m = 0. What is m?
0, 4
Factor 1/6*j**3 + 0 - 17*j**2 + 867/2*j.
j*(j - 51)**2/6
Factor 0 + 29/3*c**3 + 6*c - 13*c**2 + 1/3*c**5 - 3*c**4.
c*(c - 3)**2*(c - 2)*(c - 1)/3
Suppose 2*q + 6 = -4*n - 6, -4*q - 36 = 5*n. Let b = -7 - q. Let 5*g + b*g - 56 + 38 - 2*g**2 = 0. What is g?
3
Let -1/3*p**2 - 13/3*p + 0 = 0. Calculate p.
-13, 0
Let k(i) = i**5 - 3*i**4 - 124*i**3 - 117*i**2. Let f(t) = -8*t**5 + 20*t**4 + 868*t**3 + 820*t**2. Let w(g) = 3*f(g) + 20*k(g). Find o, given that w(o) = 0.
-5, -1, 0, 6
Let v be -4 + 1 + (-48 - (-4 - 2)). Let o = -41 - v. Factor 1/3*b**5 - 2/3*b**2 + 0*b**3 - 1/3*b + 2/3*b**o + 0.
b*(b - 1)*(b + 1)**3/3
Let u(y) = -y - 7. Let j be u(-9). Let i(v) = -v**2 - 8*v - 5. Let m be i(-7). Factor m + 4*c**2 + 0*c**j - 8 - c**2 - 3*c.
3*(c - 2)*(c + 1)
Suppose y - 37 = -4*f - 23, -f + 2*y + 8 = 0. Suppose 5*m**3 + m + 9/2*m**2 + 0 + 3/2*m**f = 0. Calculate m.
-2, -1, -1/3, 0
Let b = 7 - 1. Let t(f) = -2*f**2 + 20*f - 48. Let c be t(6). Determine h so that -b*h**3 + c + 16/7*h**2 + 2*h**5 + 4/7*h**4 + 8/7*h = 0.
-2, -2/7, 0, 1
Let -105*n**4 - 16/5 - 25*n**5 - 488/5*n**2 - 152*n**3 - 144/5*n = 0. Calculate n.
-2, -1, -2/5
Factor 51*c**2 + 8*c**4 + 4*c**5 + 2*c**4 + 8*c**3 + 8*c**3 - 2*c**5 - 43*c**2.
2*c**2*(c + 1)*(c + 2)**2
Suppose 3*s + 4*v = 344, 4*v + 616 = -0*s + 5*s. Solve 6 + 56 + s*j + 13*j**3 + 18 - 75*j**2 - 3*j**3 = 0.
-1/2, 4
Let p(w) be the first derivative of 2*w**5/55 - w**4/22 - 4*w**3/11 - 243. Factor p(q).
2*q**2*(q - 3)*(q + 2)/11
Let r be -7 + 8/(2/2) - (-3)/(-15). Factor 0 + r*c + c**3 + 1/5*c**4 + 8/5*c**2.
c*(c + 1)*(c + 2)**2/5
Suppose -5*l + 4 = -3*u + 7, 0 = 2*l - 5*u + 24. Solve 0 + 8/3*p**2 - 2/3*p**l - 8/3*p = 0.
0, 2
Factor 0*y + 0 + 2/7*y**3 + 22/7*y**2.
2*y**2*(y + 11)/7
Let x(p) be the third derivative of p**7/70 + p**6/8 + 3*p**5/20 - 5*p**4/8 - 2*p**3 + 216*p**2. Factor x(u).
3*(u - 1)*(u + 1)**2*(u + 4)
Let q(c) be the third derivative of c**6/30 + 2*c**5/5 - 7*c**4/6 - 8*c**2 - 9. Factor q(m).
4*m*(m - 1)*(m + 7)
Let z(g) be the first derivative of 3*g**8/896 - g**7/40 + g**6/16 - g**5/20 - 13*g**2/2 - 20. Let o(d) be the second derivative of z(d). Factor o(l).
3*l**2*(l - 2)**2*(3*l - 2)/8
Let b(s) be the third derivative of s**5/480 - 5*s**4/192 + s**3/8 + 149*s**2 + s. Find m, given that b(m) = 0.
2, 3
Let h(c) be the second derivative of c**5/40 + c**4/2 + 7*c**3/4 + 8*c**2 + 42*c. Let a(g) be the first derivative of h(g). What is u in a(u) = 0?
-7, -1
Let w = -64 - -67. Let v(c) be the second derivative of 0 + 2*c + 1/36*c**w - 1/72*c**4 + 1/6*c**2. Let v(a) = 0. Calculate a.
-1, 2
Suppose 0 = -5*p - 4*x + 4, 4*p = -p - 2*x + 12. Suppose 4*q - 12 = -p. Let -8 - 1 + 6*i + 0*i**2 + i**