ctor -8/5*w - 2/15*w**4 + g*w**3 - 6/5 + 4/15*w**2.
-2*(w - 3)**2*(w + 1)**2/15
Let d(p) be the third derivative of -13/10*p**5 - p**2 + 4*p**3 + 0 - 5/2*p**4 - 7/40*p**6 + 25*p. Find w such that d(w) = 0.
-2, 2/7
Let f(l) be the first derivative of -5*l**5 - 205*l**4/2 - 160*l**3/3 + 397. Solve f(d) = 0.
-16, -2/5, 0
Let 600/11*f + 0 + 2/11*f**3 + 158/11*f**2 = 0. Calculate f.
-75, -4, 0
Let o(u) be the first derivative of -u**3/2 + 49*u**2/2 - 32*u + 898. Factor o(r).
-(r - 32)*(3*r - 2)/2
Let k(u) be the second derivative of -1/4*u**5 + 0 - 127*u - 5/6*u**4 + 15/2*u**3 + 45*u**2. Factor k(d).
-5*(d - 3)*(d + 2)*(d + 3)
Let -54/11 - 1/11*w**2 - 15/11*w = 0. What is w?
-9, -6
Suppose 188*v - 109*v = 0. Let l(o) be the first derivative of 4*o**5 - 10*o**2 - 18 + 15/4*o**4 - 20/3*o**3 + v*o + 5/6*o**6. Determine i, given that l(i) = 0.
-2, -1, 0, 1
Let t be ((-32306)/(-522) - 48)*(-4)/(-10). Determine s so that 272/9*s + 310/9*s**2 - t*s**3 + 56/9 = 0.
-2/5, 7
Let s(w) = -10*w + 343. Let t be s(34). Let k(x) be the second derivative of 1/4*x**2 + 0 + 12*x - 7/48*x**4 - 5/24*x**t. Factor k(f).
-(f + 1)*(7*f - 2)/4
Let g(l) be the second derivative of -l**5/15 - 22*l**4/9 + 248*l**3/3 - 816*l**2 + 2*l - 165. Factor g(p).
-4*(p - 6)**2*(p + 34)/3
Determine u, given that 4/9*u**3 - 2/9*u**4 + 376/3*u + 120 + 310/9*u**2 = 0.
-9, -2, 15
Let g = -10701 - -10701. Let x(h) be the second derivative of g - 2/39*h**4 - 42*h + 0*h**2 + 1/130*h**5 - 5/39*h**3. Suppose x(n) = 0. What is n?
-1, 0, 5
Suppose 491 = -z + 599. Let r be z/168*(8 + -1). Suppose -3/2*g**3 + 0 + 6*g**2 - r*g = 0. What is g?
0, 1, 3
Let f be (-28*82/(-10045))/((2/(-10))/(-1)). Factor 16/7 - v**2 + 1/7*v**3 + f*v.
(v - 4)**2*(v + 1)/7
Find k such that 23/2*k**3 + 0 + 17/2*k**4 - 93/2*k**2 - 1/2*k**5 + 27*k = 0.
-3, 0, 1, 18
Let d(g) = 2*g**3 - 5*g**2 + 4*g - 28. Let c be d(4). Let 220*q**2 - c*q - 94*q - 2 + 40*q**4 - 165*q**3 + 25*q + 12 = 0. What is q?
1/8, 1, 2
Let z(g) = -g**2 + 11*g - 24. Let a be z(7). Let j(y) = -y + 9. Let s be j(a). Factor -13*r - 8 + 15*r**2 - 7 + 18*r - s*r**3.
-5*(r - 3)*(r - 1)*(r + 1)
Let b(y) = y**3 - 2*y - 1. Let r(h) = 6*h - 107. Let i be r(18). Let k(d) = -6*d**3 - 8*d**2 + 24*d + 8. Let f(w) = i*k(w) + 8*b(w). Let f(z) = 0. What is z?
0, 2
Find c such that 253*c**4 - 5*c**5 - 457*c**4 + 254*c**4 - 138*c**2 - 82*c**2 + 70*c**2 - 95*c**3 = 0.
-1, 0, 5, 6
Suppose -1323*r - 1776*r = 803*r - 7804. Factor 0 - 114/13*b - 2/13*b**r.
-2*b*(b + 57)/13
Let p(b) = 31*b**2 - 321*b - 956. Let d(u) = 108*u**2 - 966*u - 2869. Let z(q) = 2*d(q) - 7*p(q). Factor z(m).
-(m - 318)*(m + 3)
Suppose -116*v + 200 = -133 + 101. Let l(t) be the second derivative of 0 - 12*t - 25/48*t**4 - 9/2*t**v + 5/2*t**3. Solve l(y) = 0.
6/5
Let b(r) = r**3 - 2*r**2 + r. Let i(u) = -5*u**3 + 14*u**2 + 67*u - 300. Let z be 36/30*10/6. Let n(c) = z*i(c) + 6*b(c). Factor n(w).
-4*(w - 5)**2*(w + 6)
Determine q so that 0 - 4/11*q**4 - 6*q**3 - 36/11*q + 106/11*q**2 = 0.
-18, 0, 1/2, 1
Suppose 0 = -83*l + 79*l + 144. Determine z, given that 111*z**2 + l*z**2 + 63*z**2 + 25*z**3 + 70 + 255*z = 0.
-7, -1, -2/5
Let d = -10526/405 - -2170/81. Determine y, given that d*y**2 + 0*y**4 - 24/5*y + 14/5*y**3 - 16/5 - 2/5*y**5 = 0.
-2, -1, 2
Let m(p) be the third derivative of -p**6/60 + 2083*p**5/10 - 4338889*p**4/4 + 9037905787*p**3/3 + p**2 + 27*p - 7. What is g in m(g) = 0?
2083
Determine l so that 21*l**2 + 25*l**2 + 10*l**2 - 88 - 51*l - 61*l**2 = 0.
-8, -11/5
Suppose -5*a + 70 = 5*r, -2*a + a + 11 = 4*r. Suppose -a*t + 14*t = -2. Factor h**4 + 0*h**2 - 8*h**3 + 9*h**3 - h - h**t.
h*(h - 1)*(h + 1)**2
Suppose -20*f**2 + 20*f**4 - 10*f**3 + 3243*f**5 + 15*f + 3249*f**5 - 6497*f**5 = 0. Calculate f.
-1, 0, 1, 3
Let n = -793/102 - -355/34. Determine r so that 0 + 32/9*r**3 + n*r**2 + 0*r + 2/3*r**4 - 2/9*r**5 = 0.
-2, -1, 0, 6
Let k(i) = -3*i**3 - 1111*i**2 - 2217*i - 1219. Let n(j) = 30*j**3 + 11109*j**2 + 22170*j + 12246. Let g(f) = 21*k(f) + 2*n(f). Suppose g(y) = 0. Calculate y.
-369, -1
Suppose -3*b = 7*b - 4*b. Let v be (1 + b)/((-3)/(-249)). Solve -22*h**4 + 71*h**2 - 28*h - 9*h**5 - 21*h**4 + 88*h**4 - v*h**3 + 4 = 0.
1/3, 2/3, 1, 2
Let j be (-2)/(-14)*(2 - 3495/1800). Let y(o) be the third derivative of 5/48*o**4 - 1/240*o**6 - 1/4*o**3 + 0*o + 0 - 21*o**2 - j*o**5. Factor y(u).
-(u - 1)**2*(u + 3)/2
Let v(p) = -p**3 - 18*p**2 - 20*p - 38. Let o be v(-17). Let h be o/7 - 26/(-182). Factor 0 + 2/3*b + 2/3*b**h.
2*b*(b + 1)/3
Let r(c) be the second derivative of -5*c**4/12 + 1195*c**3/3 - 285605*c**2/2 - 273*c - 1. Factor r(d).
-5*(d - 239)**2
Let -440/3*h**2 + 608*h**3 - 128/3*h**4 - 38*h + 28/3 = 0. Calculate h.
-1/4, 1/4, 14
Let z(q) = 120*q**3 - 321*q**2 + 249*q - 48. Let b(s) = 15*s**3 - 40*s**2 + 31*s - 6. Let c = -103 + 70. Let p(h) = c*b(h) + 4*z(h). Factor p(u).
-3*(u - 1)**2*(5*u - 2)
Let w be ((-1996650)/4437)/(4/(-3)*(-13)/(-4)). Determine k so that -1944/13 - 342/13*k**3 - 2592/13*k - 42/13*k**4 - w*k**2 - 2/13*k**5 = 0.
-6, -3
Solve 1/3*n**2 + 9096256/3 - 6032/3*n = 0 for n.
3016
Let u(w) be the third derivative of w**8/2184 - 2*w**7/455 + 11*w**6/780 - w**5/65 - 1197*w**2. Let u(f) = 0. Calculate f.
0, 1, 2, 3
Let m(s) be the first derivative of -s**4/8 - 4*s**3/3 - 3*s**2 + 2157. Factor m(d).
-d*(d + 2)*(d + 6)/2
Suppose -4*p = -0 - 16. Let t(g) = 8*g**2 + 4. Let a(j) = -9*j**2 - 2*j - 5. Let r(d) = p*a(d) + 5*t(d). Find s such that r(s) = 0.
0, 2
Let y(u) be the first derivative of -2*u**3/15 + 2064*u**2/5 - 2130048*u/5 + 3140. Factor y(b).
-2*(b - 1032)**2/5
Let k = -7 - 3. Let b be (-44)/(-12) + -4 - k/3. Factor 32*y - 52*y + 25*y**b + 5*y**4 - 10*y**3.
5*y*(y - 1)*(y + 2)**2
Let b(t) be the second derivative of -21/2*t**2 - 1/2*t**3 + 7/4*t**4 + t + 3/20*t**5 + 11. Factor b(r).
3*(r - 1)*(r + 1)*(r + 7)
Let r = 234 + -234. Let d be (-162)/(-30) - (r/(-5) - -5). Suppose 0*h**2 - 2/5*h**3 + 0*h + 0 + d*h**4 = 0. What is h?
0, 1
Let a(s) be the second derivative of 1/56*s**4 - 1/7*s**3 + 43/2*s**2 + 1/140*s**5 + 13*s + 0. Let d(l) be the first derivative of a(l). Factor d(t).
3*(t - 1)*(t + 2)/7
Let l(y) be the third derivative of -y**7/1260 - 7*y**6/180 - 49*y**5/60 - 19*y**4/8 + 84*y**2. Let q(u) be the second derivative of l(u). Factor q(m).
-2*(m + 7)**2
Find z, given that -118/3*z**2 + 98*z + 2/3*z**4 + 132 - 14/3*z**3 = 0.
-6, -1, 3, 11
Let p be ((-369)/(-10) - (-8715)/(-14525))/(0 + 2/15). Factor p - 33/2*a + 1/4*a**2.
(a - 33)**2/4
Let q(c) be the first derivative of -33*c**4/4 + 50*c**3 - 36*c**2 + 1614. Factor q(u).
-3*u*(u - 4)*(11*u - 6)
Find u, given that 182 - 376 - u**2 + 21*u + 216 = 0.
-1, 22
Let k(o) be the second derivative of -1/3*o**3 + 1/195*o**6 - 7/78*o**4 + 158*o - 6/13*o**2 + 0 + 1/130*o**5. Find f, given that k(f) = 0.
-2, -1, 3
Let b(o) be the second derivative of -3*o**2 + 0 + 1/40*o**5 - 79*o + 1/8*o**4 - 1/3*o**3. Factor b(i).
(i - 2)*(i + 2)*(i + 3)/2
Let k(m) = 59*m**2 - 59*m + 712. Let b(r) = 6*r**2 + r + 1. Let l(s) = 10*b(s) - k(s). Factor l(v).
(v - 9)*(v + 78)
Let i be 8/28 + (-41)/168. Let s(t) be the third derivative of 0 + 1/280*t**7 + 0*t + 0*t**3 + i*t**4 - 1/96*t**6 - 14*t**2 - 1/60*t**5. Solve s(x) = 0.
-1, 0, 2/3, 2
Solve -17 - 1/6*x**2 + 53/6*x = 0 for x.
2, 51
Suppose a - 6*a - 70 = 0. Let y be (18/a - 4/(-14))*-177. Factor -5*c**4 + 30*c - 57*c**3 + y*c**3 + 2 + 1 + 53*c**4 + 99*c**2.
3*(c + 1)**2*(4*c + 1)**2
Suppose 22*u = 83*u. Solve 6/5*a**2 + u + 2/5*a**3 + 4/5*a = 0.
-2, -1, 0
Let l = 1316415/5999 - 9/857. Find g such that -2/7*g**3 - 8192/7 - l*g - 96/7*g**2 = 0.
-16
Factor 74*o + 18*o**2 - 762*o - 13*o**2 - 1437*o.
5*o*(o - 425)
Let g = 0 + 166. Let o = g - 166. Factor -1/10*k**3 - 1/10*k**2 + o*k + 0.
-k**2*(k + 1)/10
Factor 4*l**2 - 549*l + 101124 - 1223*l + 500*l.
4*(l - 159)**2
Let w = 13834/3177 - 282/353. Factor 0 + 0*k - 16/9*k**3 + w*k**2 + 2/9*k**4.
2*k**2*(k - 4)**2/9
Suppose 0 + 14/5*k - 8/15*k**2 + 2/15*k**5 + 8/15*k**4 - 44/15*k**3 = 0. What is k?
-7, -1, 0, 1, 3
Determine a so that 0*a**2 - 24/7 - 102/7*a + 24/7*a**4 + 102/7*a**3 = 0.
-4, -1, -1/4, 1
Let w(o) be the second derivative of -o**6/900 + o**5/2 - 375*o**4/4 + 14*o**3 + o**2/2 + 7*o + 9. Let y(j) be the second derivative of w(j). Factor y(x).
-