 -1/3*a**4 - 34/3 + a**2 - 17/3*a**3 + 49/3*a = 0.
-17, -2, 1
Let s = 872/7 - 2060/7. Let j = 170 + s. Solve j*x**3 + 1/7*x**2 - 3/7*x**4 + 0 + 0*x = 0.
-1/3, 0, 1
Let g be 6/45*-6 - -2. Factor 0*t - g*t**2 - 2/5*t**3 + 0.
-2*t**2*(t + 3)/5
Let h(s) be the second derivative of -s**4/24 - 16*s**3/3 - 256*s**2 - 134*s - 2. Factor h(t).
-(t + 32)**2/2
Suppose u = -2*u + 3. Determine z, given that -6*z - z + 132*z**5 - 216*z**4 + 99*z**3 - u + 17*z**2 - 24*z**5 = 0.
-1/6, 1/3, 1
Let n(w) be the third derivative of w**6/300 + 13*w**5/150 + 13*w**4/20 + 9*w**3/5 - 602*w**2. Factor n(g).
2*(g + 1)*(g + 3)*(g + 9)/5
Factor 127*l**2 - 5*l**4 - 102*l**2 + 55*l**2.
-5*l**2*(l - 4)*(l + 4)
Let i(l) = 3*l**2 + 3*l. Let n(p) = 9*p**2 - 18*p - 63. Let o(y) = 4*i(y) - n(y). Determine t, given that o(t) = 0.
-7, -3
Suppose -6 = l - 9. Suppose -3*t = -2*t - l. Find m, given that -m**4 - 2*m**2 + 0*m**4 + 3*m**3 + 0*m**t = 0.
0, 1, 2
Suppose -18*n + 8*n**2 - 4*n**2 + 18 - n**2 + 9 = 0. Calculate n.
3
Let t = 581/174 - 73/87. Factor t*y**4 - 5*y**2 + 10*y**3 + 45/2 - 30*y.
5*(y - 1)**2*(y + 3)**2/2
Let i = -7 + 7. Factor -147 - 3*m**2 - 80*m + i*m**2 - 2*m**2 - 173.
-5*(m + 8)**2
Solve 60 - 1075/6*k - 5/2*k**2 = 0 for k.
-72, 1/3
Let c(m) be the third derivative of -m**8/840 - 4*m**7/525 + 11*m**6/300 - m**5/25 - 18*m**2 + m. Factor c(x).
-2*x**2*(x - 1)**2*(x + 6)/5
Let t be (-2 - -4)/(24/972). Suppose -16 = t*q - 89*q. What is o in -5*o**q + 1/4 + 1/4*o = 0?
-1/5, 1/4
Let o(c) = -4 + 2*c**2 - 2*c - 7*c**2 + 5. Let j be (-20 - -5)*(7/5 + -1). Let q(g) = -36*g**2 - 14*g + 6. Let m(l) = j*q(l) + 44*o(l). Factor m(p).
-4*(p - 1)*(p + 2)
Suppose 16*v + 6 = 19*v. Factor -t + 10*t**3 - v*t - 5*t**5 - 2*t.
-5*t*(t - 1)**2*(t + 1)**2
Let u(i) be the second derivative of 16*i + 1/6*i**6 + 0 + 0*i**2 + 5/3*i**4 + 0*i**3 + i**5. Suppose u(p) = 0. What is p?
-2, 0
Let k = 95 + -101. Let z be ((-4)/k)/(1*4/12). Factor -1/6 + 2/3*f**4 + 5/6*f - 5/6*f**3 - 1/2*f**z.
(f - 1)**2*(f + 1)*(4*f - 1)/6
Let w be -3*(-4)/(-9) - 118/6. Let j be w/(-28) + 2/(-8). Determine y, given that 0 + 0*y**3 + 0*y + 0*y**2 + j*y**4 = 0.
0
Factor 8*a**4 + 1320*a**2 + 0*a**4 + 126*a - 126*a**3 - 5*a**4 - 1323.
3*(a - 21)**2*(a - 1)*(a + 1)
Let w(r) = -r**3 - 7*r**2 + 3. Let n be w(-7). Find p such that 9/7*p**2 + 36/7*p + 12/7 - 15/7*p**n = 0.
-1, -2/5, 2
Suppose p - 6 = 2*p + 2*y, -p - y - 1 = 0. Factor -6*c**3 - 20*c**4 + 3*c**5 + 36*c**2 + 27*c + 2*c**4 + 6*c**p.
3*c*(c - 3)**2*(c + 1)**2
Let r(m) = 17*m**2 + 34*m - 21. Let h(x) = 171*x**2 + 339*x - 207. Let y(s) = 2*h(s) - 21*r(s). Let y(a) = 0. Calculate a.
-3, 3/5
Let z(i) be the third derivative of i**6/240 - 7*i**5/60 + 19*i**4/16 - 6*i**3 + 321*i**2. Suppose z(v) = 0. What is v?
3, 8
Factor 0 - 2*o - 2/7*o**2.
-2*o*(o + 7)/7
Let v = -5 + 7. Suppose 4*y + 3*s - 9 = 3, s = -5*y + 4. Suppose -p**2 + 6*p + y*p**2 - 3*p**4 + 10*p**v = 0. Calculate p.
-1, 0, 2
Let o(j) be the second derivative of -j**5/10 + 4*j**4 + 25*j**3/3 + 102*j. Determine c, given that o(c) = 0.
-1, 0, 25
Factor 0 + 2/9*t**3 + 16/9*t**2 + 14/9*t.
2*t*(t + 1)*(t + 7)/9
Find f, given that -2/5*f**2 - 48/5*f + 10 = 0.
-25, 1
Let x(g) be the second derivative of g**5/40 - g**4/4 + 2*g**3/3 - 180*g. Let x(f) = 0. What is f?
0, 2, 4
Suppose 49*m + 56*m - 19*m = 0. Let s**2 + m*s**3 + 0 + 0*s - 1/4*s**4 = 0. What is s?
-2, 0, 2
Let a(l) be the second derivative of l**7/21 + 2*l**6/5 + 25*l. Factor a(q).
2*q**4*(q + 6)
Let j = 362 - 86879/240. Let y(t) be the second derivative of 0 + j*t**6 + 10*t - 1/8*t**2 + 5/48*t**3 - 1/32*t**4 - 1/160*t**5. Let y(m) = 0. What is m?
-2, 1
Let t = 13 + -7. Let w(q) = -8 + 15 - 2*q - 8 - 1 - 2*q**2. Let f(a) = -2*a**2 - a - 2. Let i(k) = t*f(k) - 5*w(k). Factor i(s).
-2*(s - 1)**2
Let k(b) = 10*b**3 - 204*b**2 + 74*b + 144. Let l(x) = 26*x**3 - 613*x**2 + 222*x + 431. Let q(i) = -11*k(i) + 4*l(i). Factor q(o).
-2*(o - 1)*(o + 35)*(3*o + 2)
Let j(l) be the first derivative of 2/5*l + 2/15*l**3 + 11 - 2/5*l**2. Solve j(i) = 0.
1
Let y be 1/3*(-3)/(-2). Let k = -2956 - -2959. Find u, given that 1/8*u - 3/8*u**k + y*u**5 - 1/2*u**4 + 0 + 1/4*u**2 = 0.
-1/2, 0, 1
Suppose -2*t + 2*c + 98 = 0, 5*c = 4*t - 0*t - 197. Factor 54*r**2 - r - t*r**2 - 3 + 1.
(2*r + 1)*(3*r - 2)
Let u(q) be the third derivative of 0*q**3 - 1/15*q**5 + 0*q + 0 + 6*q**2 - 1/30*q**6 + 0*q**4. Factor u(r).
-4*r**2*(r + 1)
Let z be 131/(-1425) - (2 + 160/(-76)). Let i(b) be the third derivative of -z*b**5 + 3*b**2 + 0*b**4 + 1/100*b**6 - 1/525*b**7 + 0 + 0*b + 0*b**3. Factor i(y).
-2*y**2*(y - 2)*(y - 1)/5
Find m, given that 47*m**4 + 11*m**4 + 14*m**3 - 81*m**4 - 4*m**2 + 0*m**2 + 13*m**4 = 0.
0, 2/5, 1
Let x(k) be the third derivative of 1/448*k**8 + 0*k**4 + 0*k**3 - 1/140*k**7 + 0*k + 0 - k**2 + 1/160*k**6 + 0*k**5. Factor x(y).
3*y**3*(y - 1)**2/4
Suppose -3 = 2*d + 4*q - 13, 2*q = 2*d - 10. Let n(i) be the third derivative of -5*i**2 + 0 + 0*i + 1/80*i**d + 1/12*i**4 + 1/6*i**3. Factor n(j).
(j + 2)*(3*j + 2)/4
Factor 1/6*i**3 + 2/3*i**2 - 1 + 1/6*i.
(i - 1)*(i + 2)*(i + 3)/6
Let q = -27 + 31. Determine s so that -2*s**3 - q*s + 5*s - s**2 - 2 + 2 = 0.
-1, 0, 1/2
Let o(h) = -6*h**3 + 218*h**2 + 4*h + 8. Let r(i) = 5*i**3 - 218*i**2 - 3*i - 6. Let u(a) = 3*o(a) + 4*r(a). Suppose u(m) = 0. Calculate m.
0, 109
Suppose 115 - 101 = 7*d. Let -4/3*j**d + 4/3 - 2/3*j**5 + 8/3*j**3 + 0*j**4 - 2*j = 0. What is j?
-2, -1, 1
Suppose -k - 40 = -4*h - 16, 3*h - 3*k - 27 = 0. Solve 50/9*d**3 - 38/9*d**2 + 34/9*d**4 + 4/9 - 10/9*d - 40/9*d**h = 0 for d.
-1, -2/5, 1/4, 1
Factor -111*r**5 + 25*r**4 + 180*r**2 + 228*r**5 - 160*r**3 - 112*r**5.
5*r**2*(r - 2)**2*(r + 9)
Let h = -314 - -946/3. Let w(f) be the first derivative of -1 - 3*f**4 - 2/3*f**6 - h*f**3 + 0*f - 12/5*f**5 + 0*f**2. Factor w(o).
-4*o**2*(o + 1)**3
Suppose -4*r - 89 - 131 = 0. Let j = 331/6 + r. Determine x so that 1/6*x**3 - 1/6 + j*x**2 - 1/6*x = 0.
-1, 1
Let 30*b**2 - 13*b**2 - 96*b - 6*b**2 - 7*b**2 = 0. What is b?
0, 24
Let l be -10*(-5)/(100/16). Factor l - 4 + 0 + 3*d**2 + 2 - 9*d.
3*(d - 2)*(d - 1)
Let k = 23759 + -23754. Factor -16/5*d + 14/5*d**4 + 0 - 2/5*d**k + 8*d**2 - 36/5*d**3.
-2*d*(d - 2)**3*(d - 1)/5
Suppose 24 = 3*v + 4*d + 4, -10 = -v - 3*d. Let p be v/6*5/10. Factor -1/3*y**3 - 1/3 + 1/3*y**2 + p*y.
-(y - 1)**2*(y + 1)/3
Let w = -87 - -84. Let q be (w/(-10))/((-90)/(-40)). Let 2/15*h**3 - 2/15*h + q - 2/15*h**2 = 0. What is h?
-1, 1
Let m(h) = 24*h**4 + 29*h**3 - 92*h**2 - 240*h - 123. Let u(a) = 4*a**4 + a**3 + 1. Let x(f) = m(f) - 5*u(f). Suppose x(b) = 0. Calculate b.
-8, -1, 4
Let v(b) be the first derivative of b**4/38 + 32*b**3/57 - 55*b**2/19 + 4*b + 267. Find t such that v(t) = 0.
-19, 1, 2
Let h(p) = 2*p - 4. Let o be h(6). Let r = 32 + -12. Factor r + 3*y**2 - 7*y**2 - o + 8*y.
-4*(y - 3)*(y + 1)
Let l = -25397 - -25399. Determine r, given that 12*r**l + 9*r**3 - 9*r - 27/2 + 3/2*r**4 = 0.
-3, -1, 1
Suppose -2*m + 8 = 4*n, 5*n + 0*n = 2*m + 28. Suppose n*a + 2*s - 5 - 1 = 0, 2*a - 9 = s. Factor -k**2 - k**3 + 2*k**a + 3*k**2 + k**3.
2*k**2*(k + 1)
Let k(t) be the third derivative of -1/660*t**5 + 18*t**2 + 1/11*t**3 + 0 + 1/264*t**4 + 0*t. Factor k(i).
-(i - 3)*(i + 2)/11
Solve 60/7*u + 18/7*u**2 + 50/7 = 0.
-5/3
Find g such that -3/7*g**3 - 1647*g - 11163/7 - 369/7*g**2 = 0.
-61, -1
Factor 10*w**2 - 2/7*w - 10 + 2/7*w**3.
2*(w - 1)*(w + 1)*(w + 35)/7
Let z(l) = 21*l**2 + 29*l + 41. Suppose 5*j - 4*a = 71, 0*a - 21 = -3*j - 3*a. Let u(t) = -4*t**2 - 6*t - 8. Let x(i) = j*u(i) + 2*z(i). Factor x(g).
-2*(g + 1)*(g + 3)
Let m(b) be the second derivative of -b**5/390 + b**4/52 + 4*b**3/39 + 13*b**2/2 + 4*b. Let t(k) be the first derivative of m(k). Determine a so that t(a) = 0.
-1, 4
Let q(c) = 6*c**4 + 55*c**3 + 78*c**2 + 43*c + 7. Let p(a) = 3*a**4 + 27*a**3 + 39*a**2 + 21*a + 3. Let x(v) = 7*p(v) - 3*q(v). Factor x(n).
3*n*(n + 1)**2*(n + 6)
Let b(d) = d**2 - d + 1. Let f(g) = -g**3 - 10*g**2 - 4*g + 4. Let v(s) = 4*b(s) - f(s). Let i be v(-14). Suppose 3/2*n**3 + 0 + i*n**2 - 3/2*n = 0. What is n?
-1, 0, 1
Let w(q) be the third derivative of -1/280*q**7 + 0*q**3 + 1/16*q**4 + 0*q + 3/80*q**5 + 0*q**6 + 12*q**2 + 0. Factor w(c).
-3*c*(c - 2)*(c + 1)**2/4
Let n(h) be the first derivative of 0