 be the third derivative of c(i). Let m(h) = 0. Calculate h.
1/3, 2
Let k(m) = m**3 - 5*m**2 + 2*m + 2. Let j be k(2). Let z be j*((-3)/(-9) + -1). Factor 6*a**3 - 13*a - a**2 - 3*a**z + 10*a**2 + a - 47 + 35.
-3*(a - 2)**2*(a + 1)**2
Let p(q) be the first derivative of -2*q**5/85 - 3*q**4/17 + 16*q**3/17 - 26*q**2/17 + 18*q/17 + 49. Determine y so that p(y) = 0.
-9, 1
Let v be 8/1 + (8/10)/(11/(-55)). Solve -i**3 + i + 1/2*i**2 + 0 - 1/2*i**v = 0.
-2, -1, 0, 1
Let n(h) be the second derivative of 5*h**4/12 - 20*h**3 - 130*h**2 + 3*h - 5. Solve n(g) = 0.
-2, 26
Factor -17*x - 44 - x**2 - 100 - 7*x.
-(x + 12)**2
Let h(i) be the second derivative of -i**7/357 + 2*i**6/85 - 13*i**5/170 + 2*i**4/17 - 4*i**3/51 - 51*i. Let h(a) = 0. What is a?
0, 1, 2
Let q(r) be the third derivative of -r**7/420 + 17*r**6/240 + 3*r**5/20 - 363*r**2. Factor q(k).
-k**2*(k - 18)*(k + 1)/2
Let u be (-5)/(-9)*3/4. Let r(s) be the first derivative of u*s**3 + 3/8*s**2 - 1/2*s + 5. Determine p, given that r(p) = 0.
-1, 2/5
Let n be 10/(-8)*(-4 - 0). Let c(b) be the third derivative of b**2 + 0*b + 7/90*b**n + 0 + 1/24*b**4 - 1/9*b**3. Factor c(j).
(2*j + 1)*(7*j - 2)/3
Let z(x) = 44*x - 246. Let d(a) = 11*a - 61. Let o(p) = -9*d(p) + 2*z(p). Let w be o(5). Factor 6*b**w + 3/2*b**3 + 15/2*b + 3.
3*(b + 1)**2*(b + 2)/2
Let u(y) be the first derivative of y**4/24 + 23*y**3/18 - 2*y**2 + 191. Suppose u(b) = 0. Calculate b.
-24, 0, 1
Let k(g) = -g**2 + 26*g - 46. Let p be k(24). Let 0*t**2 + 6*t**3 - 3*t**2 - 6*t**p + 11*t**2 = 0. Calculate t.
-1/3, 0
Let u(r) be the second derivative of -r**7/357 + r**6/255 + r**5/85 + 525*r. Factor u(k).
-2*k**3*(k - 2)*(k + 1)/17
Let n(r) = 33*r**2 - 17*r. Let z(f) = 12*f + 220. Let p be z(-18). Suppose 2*c = -2*c - 36. Let a(h) = 16*h**2 - 8*h. Let s(l) = c*a(l) + p*n(l). Factor s(i).
-4*i*(3*i - 1)
Let t(v) be the second derivative of -3*v**5/20 - v**4/4 + 33*v**3/2 - 189*v**2/2 + 12*v. Determine y, given that t(y) = 0.
-7, 3
Let x(w) be the second derivative of -w**7/294 - w**6/42 + w**5/28 + 25*w**4/84 - 2*w**3/21 - 10*w**2/7 - 298*w. Solve x(p) = 0 for p.
-5, -2, -1, 1, 2
Factor -29/4*u - 5/2 + 1/4*u**4 - 27/4*u**2 - 7/4*u**3.
(u - 10)*(u + 1)**3/4
Suppose 3*z = -5*d + 406, 5*d - 2*z - 223 = 173. Let i = 323/4 - d. Determine y, given that -1/2 - i*y**2 - 7/4*y + 5/4*y**4 + 7/4*y**3 = 0.
-1, -2/5, 1
Let r(b) be the first derivative of 0*b - 1/30*b**5 - 1/18*b**3 + 0*b**2 + 17 - 1/12*b**4. Factor r(q).
-q**2*(q + 1)**2/6
Suppose -5*k = -2*v - 0*k + 46, 0 = -2*k. Let -55*b**4 + v*b**4 + 29*b**4 + 3*b**3 = 0. What is b?
0, 1
Let w = 74 + -65. Let h = w - 15/2. Let -h*m**3 - 18*m + 12 + 9*m**2 = 0. What is m?
2
Let h be (4/((-80)/(-12)))/((-1932)/150 + 13). Find z such that -4/7*z**3 + 2/7*z**h + 0*z**2 + 2/7*z**4 + 0*z + 0 = 0.
-2, 0, 1
Determine i, given that -3*i**2 + 0*i + 0 - 33/4*i**4 - 3*i**5 + 57/4*i**3 = 0.
-4, 0, 1/4, 1
Let f be 58/(-783) + (-8)/(-27). Factor -2/9 - f*t**2 - 4/9*t.
-2*(t + 1)**2/9
Let x(b) be the first derivative of -2*b**6/15 - 16*b**5/25 + b**4/5 + 64*b**3/15 + 24*b**2/5 + 229. Solve x(z) = 0 for z.
-3, -2, -1, 0, 2
Let z(u) be the first derivative of -u**7/84 + u**6/30 - u**4/12 + u**3/12 - 17*u + 16. Let b(l) be the first derivative of z(l). What is w in b(w) = 0?
-1, 0, 1
Suppose 3*r - 17 = -8. Factor -2*q**r + q**2 - 3*q**3 + 4*q**3 + q - q**4.
-q*(q - 1)*(q + 1)**2
Factor -8*z**5 + 5*z**4 + 7*z**5 - 12 + 74*z**3 - 13*z**2 + 12*z - 40*z - 65*z**3.
-(z - 6)*(z - 2)*(z + 1)**3
Let v(n) = 11 + 237*n + 239*n - 485*n + 2*n**2. Let x(o) = o + 0*o + 1 - 2*o. Let z(l) = 2*v(l) - 22*x(l). Find j, given that z(j) = 0.
-1, 0
Let x be ((-6)/(-4))/((-3)/(-4)). Suppose x*d + z - 9 = 4*z, 4*d - 2*z = 14. Factor -1/2*l**4 + 0*l - l**d + 0 - 1/2*l**2.
-l**2*(l + 1)**2/2
Let r(u) be the third derivative of -8*u**2 - 1/30*u**6 - 2/45*u**5 + 0*u**3 + 0*u + 0 - 2/315*u**7 + 0*u**4. Find i, given that r(i) = 0.
-2, -1, 0
Let p(d) = 2218*d + 11093. Let b be p(-5). Suppose -1/8*m**b - 9/8 + 5/8*m**2 - 3/8*m = 0. Calculate m.
-1, 3
Find m such that -6/7*m**3 - 162/7*m + 162/7 + 54/7*m**2 = 0.
3
Suppose 0 = 204*p - 212*p. Let a be (-3)/4 + 0 - -1. Factor -1/4*b**3 + a*b + 0*b**2 + p.
-b*(b - 1)*(b + 1)/4
Let j(y) = y**3 - 2*y - 3. Let a be j(-2). Let n = a - -10. Find l such that 3*l**5 + 8*l**4 + 2*l**4 - l**4 - 3*l**4 + n*l**3 = 0.
-1, 0
Let a be -402*(-7)/336 - 3/(-12). Let -27/8*m**4 - 21/8*m**2 + 3/8*m**5 + a*m**3 + 6 - 9*m = 0. Calculate m.
-1, 1, 4
Let h(m) be the first derivative of 0*m - 5/4*m**2 - 13 + 5/3*m**3 - 5/8*m**4. Factor h(f).
-5*f*(f - 1)**2/2
Let k(s) be the first derivative of -s**6/60 + s**4/4 - 2*s**3/3 - 3*s**2 - 11. Let i(q) be the second derivative of k(q). Factor i(n).
-2*(n - 1)**2*(n + 2)
Let h(b) be the first derivative of -1/12*b**3 + 1/4*b**2 + 0*b + 7. Factor h(r).
-r*(r - 2)/4
Let f be 36/(-10)*25/265. Let m = f - -376/795. Factor 2/15*h**3 + 2/15 - 2/15*h - m*h**2.
2*(h - 1)**2*(h + 1)/15
Let f(l) = 2*l**4 + 33*l**3 + 12*l**2 - 59*l - 3. Let b(z) = -3*z**4 - 67*z**3 - 23*z**2 + 121*z + 7. Let m(i) = 3*b(i) + 7*f(i). Factor m(d).
5*d*(d - 1)*(d + 2)*(d + 5)
Determine u so that 0*u + 0 + 1/8*u**2 = 0.
0
Suppose -5*v + 10 = 3*f, 28 = 5*f + 2*v - 5*v. Suppose 5*k - l - 99 - 60 = 0, 0 = -2*l - 8. Determine x so that x**4 - x**2 + x**3 - k - x**f + 31 = 0.
-1, 0, 1
Let v be ((-56)/(-16) + -3)*50/15*14. Suppose 8/3*l + 8/3 - v*l**2 + 92/3*l**3 + 8/3*l**5 - 46/3*l**4 = 0. Calculate l.
-1/4, 1, 2
Let q(n) = 2*n**2 - 7*n - 8. Let d(c) = -11*c**2 + 41*c + 46. Let f(i) = 6*d(i) + 34*q(i). Let j(h) = -4 + 4 + h. Let v(t) = f(t) - 2*j(t). Factor v(a).
2*(a + 1)*(a + 2)
Factor -15/4 + 1/4*o**3 - 1/4*o + 15/4*o**2.
(o - 1)*(o + 1)*(o + 15)/4
Let a(o) be the third derivative of -5*o**6/16 - 19*o**5/8 + 141*o**4/16 - 45*o**3/4 + 94*o**2 + o. Let a(h) = 0. Calculate h.
-5, 3/5
Let v be 232/6 + 12/10*(-140)/(-56). Factor -1/3*i**4 - 14/3*i**3 + v - 50/3*i - 20*i**2.
-(i - 1)*(i + 5)**3/3
Let t be 1273 + -25 - (-3)/(-1). Factor -10 - 27*q - 18*q**2 - 2 + 1242*q**3 - t*q**3.
-3*(q + 1)**2*(q + 4)
Let x(c) be the second derivative of -c**6/20 - 3*c**5/40 + 3*c**4/2 + 7*c**3 + 12*c**2 - c + 20. Let x(k) = 0. What is k?
-2, -1, 4
Let m be 46/110 + 6/33. Suppose 4*i + 5*l - 1 = 22, 20 = 4*i + 4*l. Factor -m*u**3 + 0 + 0*u**i + 0*u.
-3*u**3/5
Factor -56/5*k**4 - 6/5*k**2 + 0 + 37/5*k**3 + 0*k.
-k**2*(7*k - 2)*(8*k - 3)/5
What is x in 0*x + 4/7*x**3 + 0 - 20/7*x**2 = 0?
0, 5
Let g be 16/11*(-1203)/(-802). Factor -g + 14/11*d**2 + 8/11*d + 2/11*d**3.
2*(d - 1)*(d + 2)*(d + 6)/11
Let w = -30 - -31. Let v(r) = -r**5 + r**4 + r**2 + r + 1. Let c(b) = 2*b**5 - 5*b**4 + 7*b**2 + 4*b + 4. Let n(g) = w*c(g) - 4*v(g). Solve n(f) = 0.
-1/2, 0, 1
Let i(t) = -8*t + 93. Let x be i(11). Let v(u) be the third derivative of 1/12*u**4 + 0 + 8*u**2 + 1/3*u**3 + 1/120*u**x + 0*u. Suppose v(l) = 0. What is l?
-2
Let i(q) be the first derivative of q**5/5 + q**4 + 4*q**3/3 + 61. What is n in i(n) = 0?
-2, 0
Let o = -335/8 - -385/8. Factor -5/2*i - o - 1/4*i**2.
-(i + 5)**2/4
Let r(q) be the third derivative of -q**7/42 + 5*q**6/12 - 3*q**5/4 + q**2 - 8. Factor r(n).
-5*n**2*(n - 9)*(n - 1)
Let z(t) = -31*t**3 - 63*t**2 - 182*t. Let k(g) = -208*g**3 - 440*g**2 - 1272*g. Let q(r) = -3*k(r) + 20*z(r). Factor q(i).
4*i*(i + 4)*(i + 11)
Let z(g) = g - 3*g + 5 + 1. Let i be z(-6). Let -i*k**3 + 5 - 4*k - 10*k - 30*k**2 - 7 = 0. Calculate k.
-1, -1/3
Let g be ((-8)/(-16))/((-4)/46) - -6. Factor 3/4*l - 1/4*l**2 + g*l**4 - 3/4*l**3 + 0.
l*(l - 3)*(l - 1)*(l + 1)/4
Suppose 4*k + 0*k = 2*b - 28, 0 = b + 2*k + 6. Let q(g) = g**2 - 2*g - 3. Let a be q(b). Factor -4*m + m + 2*m**2 + a*m + 0*m.
2*m*(m + 1)
Let l(n) = n**2 - 7*n + 8. Suppose 4 = q - 2. Let y be l(q). Factor 14*g**3 - 16*g - 9*g**3 + 3*g**3 - 12*g**y + 16 + 4*g**4.
4*(g - 1)**2*(g + 2)**2
Let x(b) be the second derivative of 3*b + 0 + 2*b**3 - 18/5*b**2 - 5/12*b**4. Factor x(n).
-(5*n - 6)**2/5
Let b be 108/6*((-7)/2 - -3). Let d(o) = -o**3 - 10*o**2 - 9*o. Let v be d(b). What is p in 0 + 2/9*p**3 + v*p + 2/9*p**4 - 4/9*p**2 = 0?
-2, 0, 1
Let g(r) = 70*r + 2. Let w be g(-2). Let s be w/(-33) + (-2)/11. What is u in -u**s - 28*u**5 - 2*u**4 + 29*u**5 + 2*u**3 = 0?
0, 1, 2
Let m be 6 - 21 -