 + 3/4 = 0. Calculate r.
1
Let h(p) be the second derivative of -p**6/900 + p**5/90 - 7*p**4/180 + p**3/15 - 4*p**2 - 4*p. Let c(x) be the first derivative of h(x). Solve c(v) = 0.
1, 3
Let r be (4/(-7) - 8/(-14))/1. Let u(f) be the first derivative of 7 - 1/8*f**4 - 1/4*f + 1/20*f**5 + r*f**3 + 1/4*f**2. What is b in u(b) = 0?
-1, 1
Let f(s) be the second derivative of -s**7/105 - 2*s**6/25 - 2*s**5/25 + s**4/5 + s**3/3 - 118*s. Let f(p) = 0. What is p?
-5, -1, 0, 1
Suppose 58 + 18 = 19*z. Let r(i) be the first derivative of 0*i**3 + 3 + 0*i - 1/10*i**z + 1/5*i**2. Solve r(t) = 0.
-1, 0, 1
Let u(w) be the third derivative of -w**5/330 - 7*w**4/132 - 4*w**3/11 + 118*w**2. Determine k so that u(k) = 0.
-4, -3
Let v = 20352/11 + -1850. Let -2/11*p - 4/11*p**2 - v*p**3 + 0 = 0. What is p?
-1, 0
Let a(i) = 2*i + 13. Let m be a(8). Let s be m - (-3 - -2)*-1. Let z(j) = j**2 - 7*j + 6. Let n(l) = l - 1. Let w(x) = s*n(x) + 4*z(x). Factor w(y).
4*(y - 1)*(y + 1)
Let m = -8/313 + 329/626. Factor m*o**3 - 5/4*o**2 + 0 + 3/4*o.
o*(o - 1)*(2*o - 3)/4
Let m(v) be the third derivative of v**6/280 - 3*v**5/140 + 2*v**3/7 - 9*v**2 + 10. Determine u so that m(u) = 0.
-1, 2
Let x(k) = 4*k**2 - 7*k + 1. Let h be x(2). Find d, given that -8 + 9*d**2 + 7 - 21*d - h*d**4 + 0*d**3 - 17 + 9*d**3 = 0.
-1, 2, 3
Let h(c) = c**4 - c**3 + c**2 - c + 1. Let l(a) = -22*a**2 - 10*a**4 + 110*a**3 + 1 - 18 + 104*a - 164*a**3. Let k(z) = h(z) - l(z). Factor k(m).
(m - 1)*(m + 3)**2*(11*m - 2)
Let a be (-4 - -5)/(-15)*(-1)/40. Let m(q) be the third derivative of 0*q - a*q**6 + 0 - 1/300*q**5 + q**2 + 0*q**4 + 0*q**3. Find j, given that m(j) = 0.
-1, 0
Let k(b) be the first derivative of -b**4/30 + 4*b**3/15 + b**2 - 8*b - 16. Let f(y) be the first derivative of k(y). Factor f(o).
-2*(o - 5)*(o + 1)/5
Let o = 356275/475044 - -2/118761. Solve -3/4 - 9/4*b**2 - o*b**3 - 9/4*b = 0.
-1
Let h(p) be the third derivative of p**5/360 + 53*p**4/144 - 55*p**3/18 + 190*p**2 - p. Factor h(t).
(t - 2)*(t + 55)/6
Let p be 1 + -2 + 112/16. Suppose -p = 2*y + 2*w, y - w - 15 = -4*y. Solve 3*t**4 - 9*t**y - 3*t**2 - 7*t**4 - 16*t + 16 + 16*t**3 = 0 for t.
-1, 1, 2
Let m(p) be the second derivative of p**7/168 + p**6/10 + p**5/4 - p**4/24 - 7*p**3/8 - 5*p**2/4 + 115*p. Factor m(c).
(c - 1)*(c + 1)**3*(c + 10)/4
Let f(u) = 2*u**2 - 6. Let o(p) = p**3 - 6*p**2 - p + 20. Let d(t) = 14*f(t) + 4*o(t). Determine c so that d(c) = 0.
-1, 1
Let b = -54 + 20. Let y = 37 + b. Factor -2/3*r + 0 + 1/6*r**y + 1/6*r**4 - 2/3*r**2.
r*(r - 2)*(r + 1)*(r + 2)/6
Factor -1/10*x**3 + 1/5*x + 1/10*x**2 + 0.
-x*(x - 2)*(x + 1)/10
Let k be (4/(-4) - 2/4)*352/(-660). Factor 16/5 + 16/5*p + k*p**2.
4*(p + 2)**2/5
Let w(l) = -4*l**4 - 25*l**3 + 37*l**2 + 48*l. Let o(t) = 4*t**4 + 24*t**3 - 36*t**2 - 48*t. Let j(u) = -5*o(u) - 4*w(u). Factor j(y).
-4*y*(y - 2)*(y + 1)*(y + 6)
Let h be (3/(-810)*4)/(3/15). Let f = h - -68/189. Factor 1/7 + 1/7*u**2 + f*u.
(u + 1)**2/7
Let p = -24 - -20. Let i(w) = -10*w**4 + 8*w**3 + 12*w**2 + 4*w + 4. Let f(r) = -r**4 + r**2 + r + 1. Let s(m) = p*f(m) + i(m). Find y, given that s(y) = 0.
-2/3, 0, 2
Let g = 149 - 134. Let l be (-9)/(-8) + g/(-40). Factor -3/2*o**3 + 0*o**2 + 3/2*o - 3/4*o**4 + l.
-3*(o - 1)*(o + 1)**3/4
Let y(v) = -12*v - 5. Let u be y(-5). Factor 32*g + 5*g**2 + 28*g - u*g.
5*g*(g + 1)
Suppose -1 - 7 = -4*g. Suppose 34 + 36*o**4 - 10*o**4 - 50*o**g - 55*o - 45*o**5 - 44 + 34*o**4 + 100*o**3 = 0. Calculate o.
-1, -1/3, 1, 2
Let z(c) be the second derivative of -c**6/50 + c**5/5 - 4*c**4/5 + 8*c**3/5 - 8*c**2/5 - 82*c. Factor z(f).
-(f - 2)**3*(3*f - 2)/5
Let m(b) = 17*b**4 - 32*b**3 - 81*b**2 - 23*b + 9. Let q(j) = 15*j**4 - 33*j**3 - 81*j**2 - 23*j + 10. Let x(a) = -4*m(a) + 5*q(a). Factor x(d).
(d - 7)*(d + 1)**2*(7*d - 2)
Let a(c) be the first derivative of 5/3*c**3 - 5 - 35/2*c**2 + 0*c. Factor a(g).
5*g*(g - 7)
Let x be (-8)/(-228)*-3 - 29036/(-5814). Find t such that -x*t**2 + 46/9*t + 10/9*t**3 - 4/3 = 0.
2/5, 1, 3
Let p = -9560/77 + 1416/11. Determine a, given that -20*a**4 - p + 790/7*a**3 - 14*a**5 + 40*a - 800/7*a**2 = 0.
-4, 2/7, 1
Solve -42*i + 3/2*i**3 + 22 + 25/2*i**2 = 0.
-11, 2/3, 2
Let j(o) be the first derivative of 2*o**5/55 - 3*o**4/11 + 6*o**3/11 - 4*o**2/11 + 287. Solve j(g) = 0.
0, 1, 4
Let q(t) be the first derivative of -2*t**3/9 + 52*t**2/3 - 1352*t/3 - 55. Factor q(k).
-2*(k - 26)**2/3
Determine x, given that 94/5*x + 0 + 2/5*x**2 = 0.
-47, 0
Let c(n) be the third derivative of -n**7/10080 + n**4/2 + 2*n**2. Let z(w) be the second derivative of c(w). Determine h, given that z(h) = 0.
0
Let w(q) be the first derivative of -q**4/48 + 5*q**3/24 - 3*q**2/4 + 12*q + 2. Let k(y) be the first derivative of w(y). Suppose k(x) = 0. What is x?
2, 3
Suppose 3/2 + 1/4*h - 1/4*h**2 = 0. What is h?
-2, 3
Let w(d) be the third derivative of d**6/200 + 9*d**5/100 + 3*d**4/5 + 8*d**3/5 - 82*d**2. Factor w(z).
3*(z + 1)*(z + 4)**2/5
Suppose -3*t**3 + 4*t - t**2 + 0 + 1/4*t**5 - 1/4*t**4 = 0. Calculate t.
-2, 0, 1, 4
Let r(b) = 23*b + 232. Let l be r(-10). Factor -l*h**3 - 1/4*h + 0 + 5/4*h**2 + h**4.
h*(h - 1)*(2*h - 1)**2/4
Let z(g) be the third derivative of -g**11/266112 + g**10/15120 - g**9/6912 - 7*g**5/15 - 17*g**2. Let n(m) be the third derivative of z(m). Factor n(r).
-5*r**3*(r - 7)*(r - 1)/4
Let r(s) = s**4 + s**3 + s**2 + 2*s + 1. Let h(a) = -10*a**4 - 10*a**3 - 20*a**2 - 35*a - 15. Let b(o) = h(o) + 15*r(o). Factor b(g).
5*g*(g - 1)*(g + 1)**2
Factor 5/3*r**2 + 2645/3 + 230/3*r.
5*(r + 23)**2/3
Let j(h) be the third derivative of -h**6/120 - 2*h**5/15 - 5*h**4/8 - 489*h**2. Determine m, given that j(m) = 0.
-5, -3, 0
Let r(i) = -9*i**2 - 39*i + 5. Let h(c) = -14*c**2 - 58*c + 8. Let l(k) = 5*h(k) - 8*r(k). What is g in l(g) = 0?
-11, 0
Let m be (16/(-36))/((-60)/45). Factor m*p + 0 + 1/6*p**2 - 1/6*p**3.
-p*(p - 2)*(p + 1)/6
Solve t**2 + 5*t**3 - t**2 + 8*t**4 - 4*t**2 + 2*t**4 - t**2 = 0 for t.
-1, 0, 1/2
Determine d, given that 2/15*d**4 - 82/15*d - 28/15 - 26/5*d**2 - 22/15*d**3 = 0.
-1, 14
Factor -28 + 194*o - 455*o**2 + 252*o**3 - 20 - 69*o**2 + 126*o.
4*(o - 1)*(7*o - 6)*(9*o - 2)
Suppose 0 = 39*s - 33*s - 36. Let d be 2/s*10/5. Factor 2/3*x**2 + d*x - 4/3.
2*(x - 1)*(x + 2)/3
Let o(t) = -2*t**2 + 8*t + 2 - t**3 - 16*t + 9*t. Let a be o(-2). Factor -24/11*r**2 + 12/11*r**3 + a + 16/11*r - 2/11*r**4.
-2*r*(r - 2)**3/11
Let 3*o**3 - 54/7*o**2 - 12/7 + 45/7*o = 0. Calculate o.
4/7, 1
Let b(o) be the first derivative of 3*o**5/5 + 69*o**4/4 + 43*o**3 + 63*o**2/2 - 537. Factor b(t).
3*t*(t + 1)**2*(t + 21)
Let u(d) = -d**2 + 3*d + 4. Let w be u(4). Suppose -8 = -3*q + 2*n, -5*q + 22*n + 12 = 19*n. Factor -1/4*v**4 + q + 0*v + w*v**3 + 1/4*v**2.
-v**2*(v - 1)*(v + 1)/4
Let s(o) = -6*o - 9. Let m be s(-2). Suppose -3*p = m*j - 6, 5*j - 2 = 4*j - 2*p. Suppose 1/2*q**3 - 1/2*q + 3/2 - 3/2*q**j = 0. Calculate q.
-1, 1, 3
Let z(n) be the first derivative of -20 + 0*n + 2/3*n**2 + 1/9*n**3. Factor z(k).
k*(k + 4)/3
Let k(d) be the first derivative of d**5/50 + d**4/60 - d**3/15 - d**2/10 + 7*d + 4. Let b(j) be the first derivative of k(j). Factor b(l).
(l - 1)*(l + 1)*(2*l + 1)/5
Let w be 2/(5*(-8)/(-100)). Suppose 4*y + 4*t + 8 = 0, -2*y + 20 + 11 = -w*t. Suppose 2*g - g**2 + 3*g**2 - y*g - g = 0. Calculate g.
0, 1
Let d be 12 - (4 - 2 - -2). Suppose -x + d = 3*x. Factor 19 + 16*z - 1 + 2 + 4*z + 5*z**x.
5*(z + 2)**2
Let t(g) be the third derivative of g**7/840 + g**6/80 - g**5/10 + 13*g**4/48 - 3*g**3/8 - 124*g**2. Factor t(y).
(y - 1)**3*(y + 9)/4
Suppose 2*g - 24 = n - 5*n, -4*g + 2*n - 2 = 0. Let l(x) be the second derivative of -g*x**3 - 1/6*x**4 - 3*x + 0 - 9*x**2. Determine k, given that l(k) = 0.
-3
Let x(n) = -2*n**3 - n**2 + 4*n + 1. Let r(u) = -55*u**3 + 1260*u**2 + 111060*u + 3180310. Let c(g) = -r(g) + 30*x(g). Factor c(v).
-5*(v + 86)**3
Let h be 1/4 + 2832/192. Suppose 2*g + 5*i - 55 - 8 = 0, -5*g + 2*i = -85. Determine q, given that h*q**2 + 21 - 14*q + 9*q - g*q - 9 - 3*q**3 = 0.
1, 2
Solve -29282/3 - 1/6*b**2 - 242/3*b = 0.
-242
Let o(v) be the first derivative of v**4/14 - 20*v**3/21 - 52*v**2/7 - 16*v + 90. Suppose o(f) = 0. Calculate f.
-2, 14
Suppose 45*b**3 + 48*b**2 + 199*b + 187*b**2 - 75*b + 40 + 106*b = 0. Calculate b.
-4, -1,