3*s*(s + 1)
Let u(z) be the second derivative of -z**7/1120 + z**6/96 - 3*z**5/160 - 9*z**4/32 + 5*z**3/3 - 13*z. Let l(t) be the second derivative of u(t). Factor l(o).
-3*(o - 3)**2*(o + 1)/4
Suppose -13 = -3*t - 2*u, -4 = -2*u - 0. Factor 3*v**2 + v - 8*v - 8*v + t*v.
3*v*(v - 4)
Let i(v) be the first derivative of -v**4/8 - 27*v**3 - 6561*v**2/4 + 61. Factor i(m).
-m*(m + 81)**2/2
Let r(w) be the third derivative of w**8/420 - 2*w**7/105 + w**6/30 - 31*w**3/6 - 34*w**2. Let b(h) be the first derivative of r(h). Solve b(p) = 0.
0, 1, 3
Let a = 22 - 16. Factor 138*r + r**2 + r**2 + a*r**4 - 136*r - 10*r**3.
2*r*(r - 1)**2*(3*r + 1)
Let w(b) = -b**3 - 10*b**2 + b + 7. Let y be w(-10). Let a be (-3)/y + 0 + 1. Factor -11 - 7 + 0 - v**a - 12*v - v**2.
-2*(v + 3)**2
Let k(v) = 19*v**2 - 186*v + 206. Let w(o) = -3*o**2 + 31*o - 34. Let m(x) = -6*k(x) - 39*w(x). Factor m(d).
3*(d - 30)*(d - 1)
Suppose 2/3*a**3 + 0 + 4/3*a**2 - 4/3*a**4 - 2/3*a**5 + 0*a = 0. Calculate a.
-2, -1, 0, 1
Suppose n + 4*r + 32 = 0, 3*r + 102 = -5*n + 27. Let t be n/(-16)*(-8 + 9). Determine i, given that 3/2 - 9/4*i**2 + t*i**4 - 3/4*i**3 + 3/4*i = 0.
-1, 1, 2
Let 0 + 8/3*d**3 - 7/6*d**4 + 1/3*d - 11/6*d**2 = 0. What is d?
0, 2/7, 1
Let q(y) = -16*y - 2. Let p(j) = 2*j**2 + 33*j + 4. Let d(l) = -6*p(l) - 13*q(l). Solve d(i) = 0 for i.
-1/6, 1
Let m = 26335/18 + -1463. Let n(z) be the first derivative of -10 - 5/12*z**4 + m*z**6 - 1/9*z**3 - 4/3*z + 4/3*z**2 + 1/15*z**5. Factor n(k).
(k - 1)**3*(k + 2)**2/3
Let d = -12052 + 180782/15. Factor -24/5*x + d*x**4 + 0 - 26/15*x**3 + 32/5*x**2.
2*x*(x - 6)**2*(x - 1)/15
Let f(r) be the first derivative of -1/6*r**3 - 6 - 1/8*r**4 - 1/120*r**6 - 3/2*r**2 - 1/20*r**5 + 0*r. Let s(x) be the second derivative of f(x). Factor s(k).
-(k + 1)**3
Let u be -5 - (-9 - -2)*1. Let f = -1 - -3. Solve 3*n**2 - f*n**2 - u*n**2 + n = 0.
0, 1
Let p = -7409/3 + 7411/3. Suppose 4/3*z**3 - 4/3*z**4 + p + 2/3*z**2 + 1/3*z**5 - 5/3*z = 0. What is z?
-1, 1, 2
Determine d, given that 2*d**3 + 137 - 73 - 9*d - 5*d**2 - 9*d - d**2 - 74 = 0.
-1, 5
Let y(v) be the third derivative of -v**8/280 - v**7/175 + v**6/100 + v**5/50 + 23*v**2. Solve y(z) = 0.
-1, 0, 1
Let u be (-424)/(-52) - 4/26. Solve u*z**2 - 2*z**2 - 7*z**2 = 0 for z.
0
Let s(z) be the second derivative of -z**4/48 + z**3/6 - z**2/2 + 249*z. Determine i, given that s(i) = 0.
2
Suppose 2*k - x + 1 - 8 = 0, k + 2*x + 9 = 0. Let b = k - -8. Solve 6*c**2 - 4*c**3 - 4 - 2 + 13*c**3 - b*c = 0.
-1, -2/3, 1
Let -6012*v + 6012*v - 4*v**4 - 28*v**3 + 32*v**2 = 0. What is v?
-8, 0, 1
Let w(j) be the first derivative of -j**4/6 - 16*j**3 + 73*j**2/3 + 174. Determine i, given that w(i) = 0.
-73, 0, 1
Let y be ((-10)/4)/(4/8*-1). Let f be y + -2 - 33/15. Factor 2/5*w - f*w**2 - 2/5*w**3 + 4/5.
-2*(w - 1)*(w + 1)*(w + 2)/5
Let h = -663 + 3316/5. Factor -2/5 - h*m**2 - 3/5*m.
-(m + 1)*(m + 2)/5
Suppose -j - 25 = -4*y + 23, 3*j + 24 = 2*y. Suppose -2*d = -10, -3*d + 3 = -n - y. Determine f so that 1/4*f**2 - 3/4*f + n = 0.
0, 3
Let h(j) = 3*j**2 + 154*j + 2026. Let u(s) = -9*s**2 - 461*s - 6077. Let l(g) = 7*h(g) + 2*u(g). Factor l(b).
3*(b + 26)**2
Let n = 48 + -48. Let r(x) = -x**2 - 3*x. Let c be r(n). Factor c + 1/5*j - 1/5*j**3 + 1/5*j**2 - 1/5*j**4.
-j*(j - 1)*(j + 1)**2/5
Let l(w) be the third derivative of -w**6/480 - w**5/40 - 11*w**4/96 - w**3/4 - 13*w**2 - 3*w. Let l(v) = 0. What is v?
-3, -2, -1
Determine p so that 5/3*p**2 - 10 + 5/6*p**3 - 55/6*p = 0.
-4, -1, 3
Let p(h) be the first derivative of -3*h**5/20 - h**4/4 + 7*h**2/2 - 2. Let s(c) be the second derivative of p(c). Let s(w) = 0. Calculate w.
-2/3, 0
Suppose 0 = h + 4*g + 6, -2*g + 4*g = 3*h - 10. Factor 16/17*a**h - 4/17 - 2/17*a - 10/17*a**3.
-2*(a - 1)**2*(5*a + 2)/17
Let x(w) = -w**3 + 5*w**2 - 2*w - 2. Let n be x(4). Solve -42 + 23*q - 17*q - 3*q**2 + n*q**2 - 21*q = 0 for q.
-2, 7
Let s be (-10)/(-18) - ((-82)/(-984))/(3/8). Find v such that -s*v**2 + 0 + 5/3*v = 0.
0, 5
Let p(q) = -q**2 + 46*q - 125. Let l be p(3). Find j such that 6/7*j**2 + 3/7 - 3/7*j**5 - 9/7*j**l + 9/7*j - 6/7*j**3 = 0.
-1, 1
Suppose -5*o = 2*d + 2*d + 13, 2*d - 2*o = 16. Factor -3*s**d + s**5 - 4*s**4 - 4*s**5 + 0*s**5 + 10*s**4.
-3*s**3*(s - 1)**2
Let o be (2 - (-93)/(-9))*-3. Let i be (-5 + o/5)*(-1)/(-1). Determine d, given that i*d - 1/5*d**3 + 3/5*d**2 + 0 = 0.
0, 3
Suppose 4*l - 83 = -2*c + 5*l, 0 = 2*c + 2*l - 80. Let q = c + -367/9. Suppose 0 + q*o - 2/9*o**2 = 0. Calculate o.
0, 1
Suppose 117 - 5 = 28*z. Let n(u) be the first derivative of 1/10*u**2 + 2/15*u**3 + 0*u + 1/20*u**z + 2. Factor n(t).
t*(t + 1)**2/5
Let p(f) be the second derivative of f**7/105 + 2*f**6/75 - f**5/25 - 2*f**4/15 + f**3/15 + 2*f**2/5 + 122*f. Solve p(h) = 0.
-2, -1, 1
Suppose -4*u - 48 = -4*c, 0*c + u = -4*c + 53. Determine f, given that 3*f**3 + 2 - 5*f**3 + 2*f + c*f**2 - 15*f**2 = 0.
-1, 1
Let l(b) = 30*b - 86. Let o be l(3). Factor -72/7*h**3 - 2/7*h - 54/7*h**5 - 20/7*h**2 - 108/7*h**o + 0.
-2*h*(h + 1)*(3*h + 1)**3/7
Suppose 0 = -3*u - 171 + 426. Let b = -423/5 + u. Factor 0*j + 0 - 2/5*j**2 - b*j**5 - 6/5*j**3 - 6/5*j**4.
-2*j**2*(j + 1)**3/5
Factor 960*n - 173*n**2 - 399*n**2 - 38*n**4 + 64*n**3 - 450 + 18*n**4 + 18*n**4.
-2*(n - 15)**2*(n - 1)**2
Suppose 5*k - 11 = -16. Let v be (-2)/20 + k*26/(-60). Suppose 2/3*r**2 - 1/3*r**4 + 0*r**3 + 0*r - v = 0. Calculate r.
-1, 1
Let 18*r + 1020*r**2 - 2 + 14*r**3 + 2 - 990*r**2 + 2*r**4 = 0. Calculate r.
-3, -1, 0
Let r = -46 + 51. Suppose v = 3*v + r*v. Determine w, given that v - 1/2*w**3 + 0*w + w**2 = 0.
0, 2
Let b(i) = -14*i + 9*i**2 - 48*i**2 + 22*i**2 - 36 - 10*i. Let s(r) = -4*r**2 - 6*r - 9. Let c(x) = -6*b(x) + 26*s(x). What is u in c(u) = 0?
-3
Let j = -127 + 129. Find o such that -999*o - j*o**4 + 8*o**3 + 999*o - 8*o**2 = 0.
0, 2
Let v(o) be the first derivative of -2*o**2 - 13 + 0*o - 50/3*o**3. Find b such that v(b) = 0.
-2/25, 0
Let b(n) be the first derivative of n**4/78 - n**2/13 + 8*n + 4. Let s(g) be the first derivative of b(g). Determine a, given that s(a) = 0.
-1, 1
Let p be (0 - (-5)/2)*4. Let w(h) be the first derivative of -p*h**3 + h**4 + 3*h**2 - 6 + 8*h + 1 + h**2 + 2*h**5. Suppose w(d) = 0. What is d?
-2, -2/5, 1
Let p(l) = -2*l. Let z be p(-3). Let y be (22/z - (-4)/(-1))*-12. Let 8/3*g**3 + 2/3 + y*g**2 + 8/3*g + 2/3*g**4 = 0. What is g?
-1
Let c = 17 - 12. Let f(z) = 2 - 271*z**4 - 6*z + 270*z**4 + 9*z**2 + 0*z**2. Let u(t) = t**4 - 18*t**2 + 12*t - 5. Let a(s) = c*f(s) + 2*u(s). Factor a(b).
-3*b*(b - 1)**2*(b + 2)
Let h be 13/(-11) - 4/(-22). Let i be h/(-4) + 2*3/24. Suppose -m**4 + m**2 + 0*m + 0 - i*m**5 + 1/2*m**3 = 0. Calculate m.
-2, -1, 0, 1
Let a(j) = 295*j**3 + 105*j**2 - 25*j + 10. Let f(c) = -443*c**3 - 158*c**2 + 37*c - 14. Let z(n) = 7*a(n) + 5*f(n). Let z(b) = 0. Calculate b.
-1/2, 0, 2/15
Let i(r) = r**3 - r**2 + 6*r + 5. Let u(k) = k**2 + k. Let o(g) = -i(g) + 4*u(g). Let q be o(4). Factor 2*a + 0*a - 20*a**2 + 22*a + 5*a**q - 4*a.
5*a*(a - 2)**2
Determine i so that 3/4 + 1/2*i - 1/4*i**2 = 0.
-1, 3
Let r(l) = l**2 - 187*l + 1434. Let g be r(8). Determine a, given that -1/9*a**g - 2/9*a + 0 = 0.
-2, 0
Determine p so that 1/2 - 3/2*p + p**2 = 0.
1/2, 1
Determine d so that -160 - 21*d + 10*d + 220 - 29*d + 5*d**2 = 0.
2, 6
Let l be ((-104)/182)/((-12)/14) - -1. Suppose 0 = -3*y + 2*y + 3. Factor -10/3*a**y + 0 - l*a - 5*a**2.
-5*a*(a + 1)*(2*a + 1)/3
Let w(p) be the first derivative of 0*p - 5 + 4/3*p**3 - 6*p**2. Factor w(x).
4*x*(x - 3)
Let k(b) = 3*b - 24. Let a(o) = 3*o - 25. Let f(y) = 5*a(y) - 6*k(y). Let h be f(5). Determine v so that -2/5*v**3 + 2/5*v**2 + 2/5*v - 2/5*v**h + 0 = 0.
-1, 0, 1
Let h(u) be the first derivative of -3*u**5/25 + 3*u**4/10 + 8*u**3/5 - 32. Solve h(r) = 0 for r.
-2, 0, 4
Let j = -71132/153 + 6604/17. Let w = -76 - j. Find p such that 2 + 2/9*p**4 + 8/9*p**3 - w*p**2 - 8/3*p = 0.
-3, 1
Suppose 4*b - 24 = -2*v - 2*v, 0 = -b + 4*v - 9. Let l be 8/(-12)*b/(-5). Factor -2/5*n**2 + l + 2/5*n - 2/5*n**3.
-2*(n - 1)*(n + 1)**2/5
Let m = 169 - 158. Suppose -m*r = -10*r, 4*i = 3*r + 12. Factor 3/4*o - 3/2*o**2 - 3/4*o**5 + 0 + 3/2*o**4 + 0*o**i.
-3*o*(o - 1)**3*(o + 1)/4
Let p(f) = -f**3 - 5*f**2 + 6*f + 7. Let s be p(-3). Let r = -27 - s. Factor 3