.
-5*(n - 9)*(n + 1)
Let d(k) be the first derivative of 686*k**5/15 - 931*k**4/6 + 616*k**3/3 - 400*k**2/3 + 128*k/3 + 91. Factor d(i).
2*(i - 1)*(7*i - 4)**3/3
Suppose -45 = -5*t + 4*n, -t - 14 + 4 = 3*n. Suppose -8*y + 8 + y + 6*y - t*y + y**2 = 0. What is y?
2, 4
Let y(h) = -11*h - 106. Let o be y(-10). Let s(i) be the second derivative of 0 + 2/9*i**3 + 5*i + 4/3*i**2 - 1/9*i**o. Determine p, given that s(p) = 0.
-1, 2
Let a be (-170)/(-70) + (-4)/(-7). Factor 3 - 2*u - u - 1 + 3*u**a - 2*u**3.
(u - 1)**2*(u + 2)
Find n such that -1/2*n**4 + 0 - n - 1/2*n**5 + 3/2*n**3 + 1/2*n**2 = 0.
-2, -1, 0, 1
Let f be -1 - 12/(-8)*2 - -98. Suppose 0 = 2*u - 5*t - 25 + 9, 0 = 4*u + 2*t - 56. Factor -f*m**3 + u*m**4 - 3*m**5 + 76*m**3 - 2*m**4 + 12*m**2 + 4*m**4.
-3*m**2*(m - 2)**2*(m - 1)
Let p(z) be the second derivative of -z**2 + 0 + z**3 + 1/10*z**5 - 1/2*z**4 - 9*z. Factor p(x).
2*(x - 1)**3
Let t(c) = c**2 + 3. Let y(g) = -2*g**2 - 18*g - 9. Let l(k) = 15*t(k) + 5*y(k). Factor l(n).
5*n*(n - 18)
Let n = -103 + 99. Let x be (19 + 8)*1/(n/(-1)). Determine a so that -x*a + 9/2*a**2 + 0 - 3/4*a**3 = 0.
0, 3
Let j(w) be the third derivative of w**5/84 + w**4/168 + 11*w**2 + 2*w. Factor j(u).
u*(5*u + 1)/7
Let o(r) = -2*r**3 - 2*r + 2. Let f(q) = -q**3 + q - 1. Let y be 38/209 - 9/(-11). Let m(z) = y*o(z) + 2*f(z). Factor m(s).
-4*s**3
Let o(c) = c**5 - 2*c**4 - c**3 - c**2 - c. Let d(n) = 12*n**5 - 28*n**4 + 8*n**3 - 8*n. Let u(y) = d(y) - 4*o(y). Let u(z) = 0. What is z?
-1/2, 0, 1
Let i(j) be the first derivative of -25/3*j**3 - 5*j**4 + 35/2*j**2 + 9 + 10*j. Factor i(c).
-5*(c - 1)*(c + 2)*(4*c + 1)
Suppose 7 = a + 3*u, -3*u + 7*u = -2*a + 14. Suppose 5*k + 4*h - 6 = a, -3*h = 9. Factor 3*l**2 - 13*l + 3*l + 3*l + 12 - k*l.
3*(l - 2)**2
Let y(m) be the second derivative of 3*m - 1/24*m**3 + 0*m**2 + 1/48*m**4 + 0. Solve y(k) = 0.
0, 1
Suppose 0 = -0*b - b + 2. Solve -60*f**3 + 47*f**2 + 29*f**2 + 5*f**4 + 12*f**2 + 92*f**b = 0 for f.
0, 6
Let z(v) be the second derivative of 1/105*v**7 + 0*v**3 + 1/15*v**4 + 21*v + 0 + 0*v**2 + 4/75*v**6 + 1/10*v**5. Factor z(p).
2*p**2*(p + 1)**2*(p + 2)/5
Let t = 291 - 468. Let k = t + 179. Factor 0 + 2/9*h**3 + 2/9*h**k + 0*h.
2*h**2*(h + 1)/9
Let j be (-8)/(-72) - (-1289)/(-18). Let p = j - -1009/14. Solve 0 + p*z - 2/7*z**2 = 0.
0, 2
Let b = 40/171 + 1339/855. Find u, given that 0 - 2/5*u**2 - b*u**3 + 0*u - 3/5*u**4 + 4/5*u**5 = 0.
-1, -1/4, 0, 2
Let z(h) = 3*h**2 + 24*h - 4. Let m(b) = b**2 - 1. Let q(j) = 4*m(j) - z(j). Determine g, given that q(g) = 0.
0, 24
Suppose -8 = 6*m - 104. Let 19*t**3 - 5*t**2 + 3*t**2 - m*t**3 + 0*t**5 - t**5 = 0. Calculate t.
-2, 0, 1
Let v(y) = -y**2 + 45*y + 367. Let h be v(52). Let i(u) be the first derivative of 3/28*u**4 + 2/7*u**h + 0*u - 9/14*u**2 + 1. Factor i(j).
3*j*(j - 1)*(j + 3)/7
Let n be 1/((-6)/(-8))*(-1 - -4). Factor -4*j**n + 0*j**4 - 12*j**2 - 291*j**3 + 275*j**3.
-4*j**2*(j + 1)*(j + 3)
Factor -35/3 - 1/3*v**2 + 12*v.
-(v - 35)*(v - 1)/3
Let l be (2 + 3)*-1 - -192. Let -l*n + 8 - 8 + 172*n - 3*n**2 = 0. Calculate n.
-5, 0
Suppose 4*q + 6 = -4*t + 26, -1 = q - t. Factor 2*v**2 + 65*v - 30 + 18*v**2 + 16*v**q - 11*v**2.
5*(v + 3)*(5*v - 2)
Suppose 20*x + 19*x - 195 = 0. Let h(q) be the third derivative of -5*q**2 + 0 + 0*q**4 + 0*q**3 + 1/60*q**x + 0*q + 1/120*q**6. Solve h(c) = 0 for c.
-1, 0
Let b(z) = -z + 4. Suppose -5*x - 61 = -3*u, u + 0*u = 3*x + 35. Let i be b(x). Factor 33*v + 2*v**3 - i*v - 16*v - 4*v**2.
2*v*(v - 1)**2
Suppose 4*f = -2*z + 212, 2*f - 3*z + 153 = 5*f. Factor 4*r**2 - f*r**4 - 14*r**2 + 27*r**3 + 38*r**3.
-5*r**2*(r - 1)*(11*r - 2)
Suppose 5*o = 2*i + 17 + 1, o + 10 = -3*i. Let t(l) be the third derivative of -6*l**o + 1/60*l**5 + 0*l + 0 - 1/12*l**4 + 1/6*l**3. Factor t(m).
(m - 1)**2
Factor -2/3*d**3 - 2/3*d**2 + 8/3 + 8/3*d.
-2*(d - 2)*(d + 1)*(d + 2)/3
Let v(a) be the third derivative of 1/5*a**5 + 0 + 0*a**3 - 10*a**2 + 0*a + 1/30*a**6 + 0*a**4. Determine x so that v(x) = 0.
-3, 0
Let i(y) be the first derivative of y**5/60 + y**4/18 - y**3/6 + 9*y + 29. Let o(h) be the first derivative of i(h). What is l in o(l) = 0?
-3, 0, 1
Let x(y) be the second derivative of -13*y**4/36 + 43*y**3/6 + 5*y**2/3 + 145*y. Find f such that x(f) = 0.
-1/13, 10
Let k(z) be the third derivative of z**6/180 - z**5/45 - 7*z**4/3 + 40*z**3 + 9*z**2 - 13. Factor k(m).
2*(m - 6)**2*(m + 10)/3
Suppose -56 = -4*z - 5*f, 5 + 23 = 2*z + 4*f. Let m be z/28*(-2 - -8). Factor -12/7*v - 12/7*v**2 - 4/7*v**m - 4/7.
-4*(v + 1)**3/7
Let l(j) be the first derivative of -5/4*j**4 + 5/6*j**6 - 12 + 0*j + 0*j**2 + 0*j**5 + 0*j**3. Factor l(b).
5*b**3*(b - 1)*(b + 1)
Let r(v) be the first derivative of -v**6/18 + 4*v**5/15 - v**4/4 + 46. Factor r(g).
-g**3*(g - 3)*(g - 1)/3
Suppose -3*j + 2*j = 5*n - 9, 2*j + 6 = 2*n. Suppose -4 = -0*x - x. Determine d so that n*d**2 - 4*d**2 + x*d**3 - 2*d - 2*d**4 + 2*d = 0.
0, 1
Let n(w) be the first derivative of -w**5/12 - 5*w**4/12 - 3*w**2 + 2. Let h(c) be the second derivative of n(c). Determine j, given that h(j) = 0.
-2, 0
Let -20/9 + 2/3*u + 2/9*u**2 = 0. Calculate u.
-5, 2
Let m(d) be the second derivative of -4*d**6/5 + 11*d**5 - 55*d**4/3 - 20*d**3/3 + 32*d**2 - 5*d + 16. Find y such that m(y) = 0.
-1/2, 2/3, 1, 8
Let m = 27 + -18. Determine c, given that -m*c**3 - 5*c**5 + 10*c**4 + c**4 + c**2 + c**2 + c**4 = 0.
0, 2/5, 1
Let j(a) = -a - 4. Let n be j(11). Let l(o) = 3*o**2 + 5. Let b be (-6)/(-6)*-3*(0 + 2). Let m(s) = -s**2 - 2. Let d(u) = b*l(u) + n*m(u). Factor d(t).
-3*t**2
Let d(c) be the second derivative of -c**6/180 - c**5/30 + c**4/9 - 9*c**2 - 15*c. Let f(t) be the first derivative of d(t). Factor f(v).
-2*v*(v - 1)*(v + 4)/3
Let o be (-14)/672*-42*4/14. Let m(p) be the second derivative of -o*p**5 + 0*p**2 + 13*p + 5/6*p**3 + 0 + 0*p**4. Let m(q) = 0. What is q?
-1, 0, 1
Let j(i) = -2*i**3 + 14*i**2 + 157*i - 13. Let r be j(13). Factor r - 1/6*p**2 - 1/6*p.
-p*(p + 1)/6
Let l(d) be the third derivative of 1/45*d**7 + 0*d + 1/20*d**6 + 1/45*d**5 + 0*d**3 + 0 - 30*d**2 + 0*d**4. Factor l(x).
2*x**2*(x + 1)*(7*x + 2)/3
Factor -20*t**2 + 175*t - 40669 + 10393 + 12*t**2 + 173*t + 7*t**2.
-(t - 174)**2
Let a(l) = l**2 - 5*l + 6. Let n be a(5). Suppose 2*m + 64 = n*m. Solve -3*x**2 - 16*x + m*x = 0.
0
Let p(q) = -q**2 + q. Let k(i) = -2*i**2 - 38*i + 72. Let u(y) = k(y) - 6*p(y). What is z in u(z) = 0?
2, 9
Suppose 2*j = -3*n, 19 = -18*j + 13*j + 4. Find g, given that -2/11*g**n + 0*g + 1/11*g**3 + 0 = 0.
0, 2
Suppose -77*h = -31*h + 40*h. Factor h + 0*u + 3/5*u**2.
3*u**2/5
Find t such that 22/5*t**2 - 72/5 + 2/5*t**3 + 48/5*t = 0.
-6, 1
Let f(r) be the first derivative of -r**7/630 + r**5/180 - 3*r**2 - 9. Let j(n) be the second derivative of f(n). Determine a so that j(a) = 0.
-1, 0, 1
Let b(u) = -5*u**3 + 283*u**2 - 4*u - 292. Let x(a) = -4*a**3 + 284*a**2 - 2*a - 290. Let r(c) = 4*b(c) - 6*x(c). Factor r(q).
4*(q - 143)*(q - 1)*(q + 1)
Let f be 45/(-75)*3/(-3 - 6). Factor 1/5 - 1/5*u + 1/5*u**4 - f*u**5 - 2/5*u**2 + 2/5*u**3.
-(u - 1)**3*(u + 1)**2/5
Suppose 6*y = 58*y. Let w(l) be the first derivative of 0*l**3 + 0*l**2 - l**4 - 5 + 3*l**6 + y*l - 14/5*l**5. Determine c so that w(c) = 0.
-2/9, 0, 1
Let w(c) = -3*c**2 + 49*c + 52. Let r(o) = 5*o**2 - 73*o - 78. Let l(k) = 5*r(k) + 8*w(k). Suppose l(f) = 0. Calculate f.
-26, -1
Let b = -166 + 171. Let v(c) be the third derivative of 1/180*c**6 + 0 + 1/72*c**4 + 0*c - 1/60*c**b - 5*c**2 + 0*c**3. Factor v(z).
z*(z - 1)*(2*z - 1)/3
Let u(a) be the second derivative of -a**6/70 + 3*a**5/28 - 3*a**4/28 - 5*a**3/14 + 6*a**2/7 - a + 79. Find y such that u(y) = 0.
-1, 1, 4
Let l(r) be the second derivative of 0 - 1/30*r**5 + 2/27*r**4 - 2/135*r**6 + 14*r - 2/9*r**2 + 1/9*r**3. Let l(i) = 0. Calculate i.
-2, -1, 1/2, 1
Suppose 4*l + 7 = 5*f + l, 4*f = 4*l + 4. Factor -4/5*y + 0 - 1/5*y**f.
-y*(y + 4)/5
Let w be (-2)/8 + 201/(-12). Let a = -15 - w. Determine t so that 4*t**4 - t**3 + 0*t**a - t**3 - 2*t**2 = 0.
-1/2, 0, 1
Suppose -c + 4 = c. Let m be 4/8 - c/28*3. Solve -2/7*x + m*x**3 + 2/7*x**2 - 2/7 = 0.
-1, 1
Let o = 914 + -911. Let l(g) be the third derivative of 1/15*g**5 + 8/3*g**3 + 0 + o*g**2 + 0*g - 2/3*g**4. Factor l(k).
4*(k - 2)**2
Let h(j) be the first