(d) = 0. Calculate d.
-12/13, 2
Determine y so that -1/4*y**5 - 6*y + 5/2*y**3 - 5/4*y**4 + 0 + 5*y**2 = 0.
-6, -2, 0, 1, 2
Factor -408/5*z - 4794/5*z**3 - 2977/5*z**2 - 2209/5*z**4 - 16/5.
-(z + 1)**2*(47*z + 4)**2/5
Let d(q) be the second derivative of 0 + q**3 + 14*q + 4*q**2 - 1/6*q**4. Suppose d(b) = 0. Calculate b.
-1, 4
Let g(f) be the first derivative of 2 + 0*f**3 + 0*f**2 + 1/6*f**4 + 0*f**5 + 0*f - 1/9*f**6. Factor g(s).
-2*s**3*(s - 1)*(s + 1)/3
Let y(q) be the third derivative of -q**5/120 + 11*q**4/48 + 7*q**3/2 - 228*q**2. Suppose y(a) = 0. Calculate a.
-3, 14
Let z(n) = 2*n + 11. Let f be z(-7). Let x(b) = b**3 + 2*b**2 - 5*b - 4. Let v be x(f). Determine o so that -2*o + o**2 + 2*o**3 + 3*o**v + 5*o - o = 0.
-1, 0
Let u = 406/11 - 2798/77. Suppose u*g**4 + 0*g**3 - 32/7*g**2 + 64/7 + 0*g = 0. Calculate g.
-2, 2
Let r(o) be the first derivative of -2*o**5/5 + 9*o**4/4 + 31*o**3/3 + 27*o**2/2 + 7*o - 221. Let r(f) = 0. What is f?
-1, -1/2, 7
Let f(q) = 5*q**4 - 59*q**3 + 127*q**2 - 67*q. Let c(j) = -9*j**4 + 119*j**3 - 255*j**2 + 134*j. Let l(b) = -6*c(b) - 11*f(b). Suppose l(i) = 0. What is i?
-67, 0, 1
Let k(g) be the first derivative of -g**4/4 - 13*g**3/3 + 29*g**2/2 - 15*g + 109. Factor k(o).
-(o - 1)**2*(o + 15)
Let q(d) be the third derivative of 3*d**5/20 + 5*d**4/8 - 4*d**3 - 2*d**2 + 168*d. Factor q(w).
3*(w - 1)*(3*w + 8)
Let r(n) = n**2 + 4*n + 6. Let b be r(-4). Factor -m - b - 2*m**3 + 6*m**2 - m + 4*m**3.
2*(m - 1)*(m + 1)*(m + 3)
Suppose 23*u - 26*u = 0. Let g(c) be the second derivative of 4*c + u + 0*c**4 + 1/165*c**6 + 0*c**3 + 0*c**2 + 1/110*c**5. Suppose g(m) = 0. What is m?
-1, 0
Let j(l) = -21*l**2 - 42*l + 27. Let k = -26 - -22. Let w(r) = -3*r**2 - 6*r + 4. Let g(i) = k*j(i) + 27*w(i). Factor g(h).
3*h*(h + 2)
Solve 65/2*r**3 + 2*r**5 + 17/2 - 36*r**4 + 55/2*r**2 - 69/2*r = 0.
-1, 1/2, 1, 17
Let l(a) = -a**4 - a**3 - a + 2. Let o(t) = 29*t**4 - 191*t**3 - 36*t**2 + 509*t + 310. Let s(c) = 5*l(c) + o(c). Let s(g) = 0. Calculate g.
-1, -5/6, 2, 8
Let o = 147 + -144. Let j(r) be the second derivative of 0 - 2/21*r**3 - o*r - 1/7*r**2 + 1/42*r**4 + 1/35*r**5. Factor j(g).
2*(g - 1)*(g + 1)*(2*g + 1)/7
Let m be (-2)/5 - (-1)/((-5)/(-2)). Suppose 5*z + 4*n - 18 = m, 6 = -2*z + 5*n - 0. Determine t so that 7/4*t + 7/4*t**5 + 1/2*t**4 + 1/2 - t**z - 7/2*t**3 = 0.
-1, -2/7, 1
Let c(q) be the third derivative of q**7/504 + q**6/144 - q**5/12 + 17*q**4/24 - 3*q**2. Let z(b) be the second derivative of c(b). Factor z(x).
5*(x - 1)*(x + 2)
Let w = 29/22 - 105/88. Factor 0 - w*u**2 + 1/8*u.
-u*(u - 1)/8
Let b(i) be the first derivative of 4*i**5/7 - 32*i**4/7 + 76*i**3/7 - 36*i**2/7 - 339. Factor b(d).
4*d*(d - 3)**2*(5*d - 2)/7
Let f be (-28)/(-6)*(-14 + 8). Let y = f + 30. What is s in 2/7*s**y + 0 - 2/7*s = 0?
0, 1
Suppose -13*f - 10858*f**2 + 16*f**3 - 36 + 10730*f**2 - 127*f = 0. Calculate f.
-1/2, 9
Let u = 1117/50 + -146/25. Factor -u*c + 21/2*c**2 + 6.
3*(c - 1)*(7*c - 4)/2
Let s(n) = -138*n + 966. Let i be s(7). Factor i + 1/3*o**2 - o.
o*(o - 3)/3
Factor -76 - 4*p**3 - 21*p - 39*p**2 - 41*p**2 - 135*p - 4*p**2.
-4*(p + 1)**2*(p + 19)
Let w be (-14 + 0)/(-1)*9/(-900)*-25. Factor -2*k**4 + 0 + w*k**2 + 5/2*k**3 - k.
-k*(k - 2)*(k + 1)*(4*k - 1)/2
Suppose 4*q = -q + l + 18, 4*q - 5*l = 6. Factor -13 + 6 + w**2 + 1 + q + w.
(w - 1)*(w + 2)
Let n(m) be the first derivative of 0*m**2 + 0*m - 12 - 1/2*m**4 + 2/3*m**3. Factor n(l).
-2*l**2*(l - 1)
Factor 16*t**5 + 10*t**3 - 22*t**3 + 2*t**4 - 12*t**3 - 16*t**4 + 2*t**4 + 20*t**2.
4*t**2*(t - 1)**2*(4*t + 5)
Let w(z) be the first derivative of 4*z**5/5 - 2*z**4 - 20*z**3/3 + 12*z**2 - 55. Factor w(d).
4*d*(d - 3)*(d - 1)*(d + 2)
Let j(n) be the second derivative of 1/32*n**4 + 8*n - 1/2*n**3 + 0 + 21/16*n**2. Factor j(k).
3*(k - 7)*(k - 1)/8
What is i in -1/7*i**4 + 0 - 9*i**2 - 17/7*i**3 + 81/7*i = 0?
-9, 0, 1
Factor 0 + 0*l - 2/5*l**4 - 2/5*l**3 + 4/5*l**2.
-2*l**2*(l - 1)*(l + 2)/5
Let k(a) = 8*a**2 + 10 + 17*a**3 - 6*a**3 + 5*a - 5. Let p(r) = 16*r**3 + 12*r**2 + 8*r + 8. Let f(s) = 8*k(s) - 5*p(s). Factor f(n).
4*n**2*(2*n + 1)
Suppose 0 = -u - 2*u. Let h be 25/255 + (-628)/(-2669). Factor u*f**2 + 2/3*f**3 + 0 - 1/3*f + 0*f**4 - h*f**5.
-f*(f - 1)**2*(f + 1)**2/3
Let s be 3596/1395 + 12/(-15). Suppose 4/3*a - 2/9*a**3 - 2/3*a**2 + s = 0. What is a?
-4, -1, 2
Let m(a) be the second derivative of 9*a**5/130 + 4*a**4/13 + a**3/3 + 2*a**2/13 - 2*a + 116. Solve m(f) = 0.
-2, -1/3
Let w(o) be the first derivative of -o**4/4 + o - 15. Let j(z) = -6*z**3 - 2*z**2 + z + 7. Let n(u) = -j(u) + 5*w(u). What is d in n(d) = 0?
-2, -1, 1
Suppose -3*j + 307 - 280 = 0. Let i be (6 + (-522)/96)/(j/12). Let 0 - 3/4*a**2 + i*a = 0. What is a?
0, 1
Let j(a) = 8*a**2 - 1097*a - 1039. Let l(d) = -d**2 + 219*d + 208. Let h(s) = -2*j(s) - 11*l(s). Factor h(z).
-5*(z + 1)*(z + 42)
Let o be (-30)/24 - ((-35)/14 - -1). Let q(x) be the first derivative of -1 - x - o*x**4 + 1/2*x**2 + 1/3*x**3. Solve q(z) = 0 for z.
-1, 1
Factor 3*j - 35*j + 3*j**3 - 24*j**2 - 3*j**3 - 4*j**3 + 0*j**3.
-4*j*(j + 2)*(j + 4)
Factor 14*i**4 + 31*i**4 - 25*i**5 - 24*i**3 + 4*i**2 - 4 + 4.
-i**2*(i - 1)*(5*i - 2)**2
Let x = -36 - -36. Suppose -15 = -x*r - r - j, 0 = -5*r - 2*j + 66. Solve 2*d**4 + 2*d**2 - 8*d**2 + 2*d**4 - 10*d**2 + r*d**3 = 0 for d.
-4, 0, 1
Let f(g) be the second derivative of g**5/20 + g**4/4 - 3*g**3/2 + 5*g**2/2 - 2*g - 1. What is n in f(n) = 0?
-5, 1
Let z = 6070 - 12139/2. Let k be 1/4 - (-1)/2. Factor 0*i**2 + k*i - 1/4*i**3 + z.
-(i - 2)*(i + 1)**2/4
Let j(m) = 9*m - 19. Let l be j(13). Let b = l + -95. Solve 2/9*n**b + 0*n + 0 + 2/9*n**2 = 0.
-1, 0
Let b = 21303/17 + -1253. Let o(w) be the second derivative of 0 - b*w**2 + 1/17*w**3 + 8*w + 5/102*w**4. What is z in o(z) = 0?
-1, 2/5
Let x be (-2)/(-13) + (-851)/(-299). Let l(o) be the third derivative of -1/4*o**4 + 1/4*o**5 + 0*o**x + 0 + 0*o - o**2. Let l(i) = 0. What is i?
0, 2/5
Suppose 0 = 4*s + 2*s - 12. Factor 41*b**2 - 2*b**4 - 39*b**2 + s*b**5 + 0*b**3 + 0*b**5 - 2*b**3.
2*b**2*(b - 1)**2*(b + 1)
Let s(m) = 3*m**2 - 175*m + 174. Let j(g) = -2*g. Let v(k) = j(k) + s(k). Factor v(o).
3*(o - 58)*(o - 1)
Let u(i) = -i + 2 - 4*i**2 + 3*i**2 + 2*i**2. Let o be u(0). Suppose 6*s + 3*s**2 + 0*s + 4*s**o - 4*s**2 = 0. What is s?
-2, 0
Let h be 370/(-100) + 4*1. Let i(l) be the second derivative of 0 - 5/12*l**4 + l**2 - 5*l + 1/2*l**3 - 1/21*l**7 - h*l**6 - 13/20*l**5. Factor i(s).
-(s + 1)**3*(s + 2)*(2*s - 1)
Let x = 28957/12 - 2413. Let d(b) be the second derivative of -1/30*b**6 + 0 + 1/3*b**3 + x*b**4 + 6*b + 0*b**2 - 1/10*b**5. Factor d(c).
-c*(c - 1)*(c + 1)*(c + 2)
Suppose -5*j = -6*j - 3*u - 13, 2*j + 21 = -5*u. Let r = -22 - -119/5. Solve 6/5*k**j + 3/5*k**4 + 0 + 0*k - r*k**3 = 0.
0, 1, 2
Let n(i) be the second derivative of 20/3*i**3 - 28*i + 0 + 0*i**5 + 15/2*i**2 - 1/6*i**6 + 5/2*i**4. Solve n(a) = 0.
-1, 3
Let u(a) be the first derivative of 24*a**3 - 108*a + 0*a**2 + 4/5*a**5 - 10 + 8*a**4. Factor u(z).
4*(z - 1)*(z + 3)**3
Let j(a) be the first derivative of -1/36*a**4 + a**2 + 1/27*a**3 - 1 - 1/540*a**6 + 0*a + 1/90*a**5. Let y(n) be the second derivative of j(n). Factor y(w).
-2*(w - 1)**3/9
Let a(t) = t**3 + t**2 + 1. Let b(q) = 21*q**4 + 357*q**3 - 282*q**2 - 108*q - 6. Let i(l) = 6*a(l) + b(l). Factor i(d).
3*d*(d - 1)*(d + 18)*(7*d + 2)
Suppose 0 = -5*f - 5, -7*f + 8*f = n - 4. Factor 1/2*d**2 + 1/6*d**n - 1/6*d - 1/2.
(d - 1)*(d + 1)*(d + 3)/6
Let x be -1 + (-1)/10*-13 + 469/7370. Factor -104/11*t - 84/11*t**2 - x*t**4 - 48/11 - 30/11*t**3.
-2*(t + 2)**3*(2*t + 3)/11
Let j(a) be the third derivative of 1/8*a**6 - 1/10*a**5 - 13/8*a**4 + 8*a**2 + 0 + 0*a - 3*a**3. Factor j(l).
3*(l - 2)*(l + 1)*(5*l + 3)
Let w = 720 - 716. Let j(x) be the second derivative of 9/2*x**2 - 3/20*x**5 + 0 + 5/2*x**3 - 8*x + 1/4*x**w. Suppose j(l) = 0. What is l?
-1, 3
Suppose -7*g + 9*g - 26 = p, 3*p = -4*g + 72. Suppose -5*b + 4 = z, 5*b + g = 3*z + 3. Factor b - 4/3*n**2 - 2*n + 2/3*n**3.
2*n*(n - 3)*(n + 1)/3
Let 5637*l**2 - 320*l + 56*l**3 - 4*l**5 - 128 + 18*l**4 - 5741*l**2 - 4*l**4 = 0. What is l?
-2, -1/2, 4
Solve -6/13*d**2 + 48/13 + 2/13*d**3 - 20/13*d = 0.
-3, 2, 4
Let g(q) = 8*q**3 - 20*q**2 - 26*q + 83. Let k(a) = 9