 + a**2/8 - a/8 - 15. Let l(i) = 0. What is i?
1
Let x = -19 + 21. Factor 4/9 + 2*n + 8/9*n**x.
2*(n + 2)*(4*n + 1)/9
Let m(h) be the second derivative of -h**7/105 + h**6/15 - h**5/6 + h**4/6 - h**2/2 + h. Let o(r) be the first derivative of m(r). Determine s so that o(s) = 0.
0, 1, 2
Suppose 0*x - 3*x + 39 = 0. Let w(o) = x*o + 2 + 7 + 9*o**2 + 8*o + 2. Let f(m) = 4*m**2 + 10*m + 6. Let c(z) = 5*f(z) - 2*w(z). Suppose c(b) = 0. What is b?
-2
Solve 2/9*v**2 + 4/9*v - 2/3 = 0.
-3, 1
Suppose 0 = 3*v - f + 285, 3*v - 3*f - 2*f + 297 = 0. Let g = -466/5 - v. Factor g*r**2 + 2*r**3 - 4/5 - 2*r.
2*(r - 1)*(r + 1)*(5*r + 2)/5
Let b be 3 + (35/30 - 4). What is m in -m + b*m**2 + 3/2 = 0?
3
Solve 16*v**4 - 8*v - 1112 + 44*v**3 + 20*v**2 + 1112 = 0.
-2, -1, 0, 1/4
Let h(m) be the third derivative of -m**7/2100 - m**6/300 - m**5/100 - m**4/60 + 5*m**3/6 + 4*m**2. Let j(p) be the first derivative of h(p). Factor j(r).
-2*(r + 1)**3/5
Let h be (-1 + (-5)/3 + 3)*1. Factor 10/3*o**2 - 1/3*o**3 - h*o**5 + 4/3*o - 4/3*o**4 - 8/3.
-(o - 1)**2*(o + 2)**3/3
Let h(x) be the third derivative of x**5/330 + 6*x**2. Factor h(b).
2*b**2/11
Let r(p) be the third derivative of -p**6/40 + p**5/20 + p**4/4 - 8*p**2. Solve r(w) = 0.
-1, 0, 2
Let c(y) be the third derivative of y**8/168 - 2*y**7/105 + y**6/60 + 15*y**2. Factor c(w).
2*w**3*(w - 1)**2
Let s be 4/(52/15) - (-4 - -5). Factor 4/13*w**3 + s*w**4 + 2/13*w**2 + 0*w + 0.
2*w**2*(w + 1)**2/13
Let w(g) be the second derivative of -g**6/4 + 39*g**5/40 - g**4/2 - g**3 + 4*g. Let w(z) = 0. Calculate z.
-2/5, 0, 1, 2
Let h = 35/87 + -2/29. Let t(i) be the second derivative of i + 0 + 1/6*i**4 - 2*i**2 + h*i**3. Factor t(o).
2*(o - 1)*(o + 2)
Find p, given that -3/2*p**3 + 0*p**2 + 0 + 3/2*p = 0.
-1, 0, 1
Let f(z) be the first derivative of -7*z**4/6 + 2*z**3/3 + 2*z + 1. Let n(o) be the first derivative of f(o). Solve n(q) = 0 for q.
0, 2/7
Let m = 164/3 + -54. Let w(x) be the second derivative of 0 + m*x**3 - 1/2*x**2 - 7/48*x**4 - 3*x. Factor w(p).
-(p - 2)*(7*p - 2)/4
Let b be 4*3/(-42)*35/(-15). Factor -2/3*i + b*i**3 + 0 + 0*i**2.
2*i*(i - 1)*(i + 1)/3
Let s be -1 + 1/(-3)*231/(-70). Let x(y) be the second derivative of 0 + y + 1/3*y**3 + 1/4*y**2 + 1/4*y**4 + 1/60*y**6 + s*y**5. Factor x(n).
(n + 1)**4/2
Let f be (-3)/(-1 + 5 + -3). Let k(m) = m**2 + 3*m + 2. Let b be k(f). Find c, given that -b*c - 1 - 10*c**2 + 2*c**3 + 10*c**2 + c**4 = 0.
-1, 1
Let n(t) be the third derivative of -t**6/960 + t**4/192 + 19*t**2. Factor n(q).
-q*(q - 1)*(q + 1)/8
Let a(r) be the second derivative of 0 + r + 1/8*r**3 + 1/48*r**4 + 0*r**2. Let a(n) = 0. What is n?
-3, 0
Let a(d) be the second derivative of 1/2*d**3 - 6*d + 0 - 1/12*d**4 - d**2. Factor a(y).
-(y - 2)*(y - 1)
Factor 18*i**2 - 2 - 29*i**2 - 4 + 3*i + 14*i**2.
3*(i - 1)*(i + 2)
Let r(v) be the third derivative of v**6/120 - v**5/12 + v**4/3 - 2*v**3/3 - 27*v**2. Determine p so that r(p) = 0.
1, 2
Let z(c) = c - 2. Let j be z(-5). Let x = j + 11. Let -m**3 - 4*m - 3*m**3 + x*m**2 + 2*m**2 + 1 + m**4 = 0. What is m?
1
Suppose 2*t - 5*a = -2*a + 9, -t + 8 = 2*a. Find c, given that 3*c**2 - 5*c**2 - 20*c**3 - 3*c**5 + 12*c**5 - t*c**2 - 6*c**4 = 0.
-2/3, 0, 2
Let d(f) be the second derivative of -f**6/90 + f**5/30 - f**4/36 + 2*f**2 + 3*f. Let w(s) be the first derivative of d(s). Let w(x) = 0. Calculate x.
0, 1/2, 1
Factor -13 + u**3 - 8 - 3*u - 2*u**2 + 21.
u*(u - 3)*(u + 1)
Suppose -w - 4*w - 3 = 2*h, 4*w - 12 = 0. Let t be (12/h)/(4/(-6)). Factor -3/2*o**4 + 0 + 0*o - 1/2*o**5 - 1/2*o**t - 3/2*o**3.
-o**2*(o + 1)**3/2
Let o(l) = -2*l**3 - l**2 + 2*l - 1. Let c be o(1). Let f be (12/9*-5)/c. Factor -8/3*j**2 - 2/3 - f*j.
-2*(j + 1)*(4*j + 1)/3
Let 0 - 66/5*y**3 - 24/5*y**4 - 72/5*y**2 - 27/5*y - 3/5*y**5 = 0. Calculate y.
-3, -1, 0
Let s(o) be the first derivative of 0*o**2 + 0*o**3 + 0*o + 1/14*o**4 - 4 - 2/35*o**5. Factor s(l).
-2*l**3*(l - 1)/7
Let u be 76/(-171) - 31/(-9). Let s be -1 + (u/3 - -3). Suppose 0 - 3/2*d**2 - d**4 - 1/4*d - 9/4*d**s = 0. Calculate d.
-1, -1/4, 0
Let y(o) = 5*o**4 - 80*o**3 + 85*o**2 - 10*o. Let w(i) = -i**4 + i**2. Let q(a) = 30*w(a) - y(a). Factor q(f).
-5*f*(f - 1)**2*(7*f - 2)
Let t(s) = 5*s - 17. Let n be t(4). Let i(j) be the third derivative of 1/6*j**n + 1/30*j**5 - j**2 + 0*j + 0 - 1/8*j**4. What is v in i(v) = 0?
1/2, 1
Let q(g) = 28*g**3 + g + 1. Let h be q(-1). Let x be (-44)/h - 1/1. Factor x - 2/7*b - 6/7*b**2.
-2*(b + 1)*(3*b - 2)/7
Factor 0 - 1/3*c**3 + 2/3*c**2 + 0*c.
-c**2*(c - 2)/3
Let x(t) be the first derivative of 10/3*t**3 + t - 13/4*t**2 - 1 - 9/8*t**4. Factor x(o).
-(o - 1)**2*(9*o - 2)/2
Factor -x**3 + 14*x**4 - 4*x**4 - 9*x**4.
x**3*(x - 1)
Let l be (16/(-12))/((-4)/(-6)). Let z be l/1 + 2 + 0. Let -2/5*y - 2/5*y**2 + z = 0. Calculate y.
-1, 0
Let q(j) be the third derivative of -1/21*j**3 + 1/42*j**4 + 3*j**2 - 1/210*j**5 + 0*j + 0. Find f, given that q(f) = 0.
1
Let z(m) be the second derivative of 4*m**7/105 + m**6/15 - m**5/25 - m**4/10 + 13*m. Solve z(n) = 0.
-1, 0, 3/4
Let b be ((-15)/(-5) - (-19)/(-5)) + 2. Find i, given that -6/5*i - 2/5*i**3 + 2/5 + b*i**2 = 0.
1
Let z = -125 - -131. Let o(q) be the first derivative of q**3 + 9/4*q**4 - 3 - 9/2*q**2 - z*q + 3/5*q**5. Find t such that o(t) = 0.
-2, -1, 1
Suppose -s + 22 = -5*n, 0*n + 3*n = 4*s - 20. Let z = -15/4 + 4. Factor -z*h**3 - 1/2*h**s - 1/4*h + 0.
-h*(h + 1)**2/4
Suppose j = 5*j - 24. Suppose 0 = 5*c - 4 - j. Let 1/3*i**c + 0 - 1/3*i = 0. What is i?
0, 1
Suppose -2*w = -4*w + 4. Let s(r) be the first derivative of 0*r**2 + w + 1/27*r**6 - 2/27*r**3 + 0*r - 1/18*r**4 + 2/45*r**5. Factor s(l).
2*l**2*(l - 1)*(l + 1)**2/9
Let r(d) = -2*d**4 - 10*d**3 - 12*d**2 - 2*d + 8. Let h(i) = i**4 + i**3 + i. Let j(v) = 6*h(v) + r(v). Factor j(g).
4*(g - 2)*(g - 1)*(g + 1)**2
Suppose -l + 4*j - 6 = 0, 3*l + 4*j + 15 + 19 = 0. Let o be 96/10 + 6/l. Suppose 3/5*v**2 - 6/5*v + 57/5*v**4 + o*v**3 + 0 + 21/5*v**5 = 0. Calculate v.
-1, 0, 2/7
Let h(i) = 23*i**3 - 17*i**2 - 23*i - 17. Let t(w) = -4*w**3 + 3*w**2 + 4*w + 3. Let u(k) = -6*h(k) - 34*t(k). Suppose u(o) = 0. Calculate o.
-1, 0, 1
Let n(g) be the first derivative of -g**5/20 + g**4/12 + g**3/3 - g + 1. Let m(l) be the first derivative of n(l). Factor m(f).
-f*(f - 2)*(f + 1)
Let s = 557/70 - 62/7. Let w = s + 37/30. Factor 1/3*d**2 - w*d - 2/3.
(d - 2)*(d + 1)/3
Factor 0*k + 4/5*k**2 + 0 + 2/5*k**5 - 6/5*k**3 + 0*k**4.
2*k**2*(k - 1)**2*(k + 2)/5
Let x(l) be the first derivative of 4/27*l**3 + 1/9*l**2 + 2 + 0*l + 1/18*l**4. Factor x(r).
2*r*(r + 1)**2/9
Let n be 5 + (-16 - -10) + 5. Find w, given that 44/5*w**2 - 16/5*w**3 + 18/5 - 48/5*w + 2/5*w**n = 0.
1, 3
Let p(d) be the third derivative of 1/15*d**3 + 1/300*d**6 + 2*d**2 - 1/60*d**4 + 0 - 1/150*d**5 + 0*d. Solve p(c) = 0 for c.
-1, 1
Let p(b) = -b**2 - 5*b - 2. Let o be p(-3). Let 7*g**2 - 4*g**2 - 2 - 16*g + 5*g**3 + 6 + o*g = 0. Calculate g.
-2, 2/5, 1
Let h(i) be the first derivative of -4 + 0*i**3 - 3/2*i**2 + 1/84*i**4 + 1/210*i**5 + 0*i. Let c(w) be the second derivative of h(w). What is a in c(a) = 0?
-1, 0
Let j = 2 + 12. Suppose 5*a = -4 + j. Factor 4*z + 2*z**2 + 6 - 5*z**2 - 5*z - a*z.
-3*(z - 1)*(z + 2)
Let l(v) be the third derivative of 0 + 6*v**2 + 1/12*v**4 - 3/10*v**5 + 0*v**3 + 0*v + 27/80*v**6. What is x in l(x) = 0?
0, 2/9
Let j = -13 + 12. Let a be (j/2)/((-12)/16). Factor 4/3*s**3 + 2/3*s**2 + 0 + a*s**4 + 0*s.
2*s**2*(s + 1)**2/3
Let y(r) be the second derivative of r**4/18 - r**3/9 - 2*r**2/3 - 7*r. Let y(l) = 0. Calculate l.
-1, 2
Let a(m) be the third derivative of -1/3*m**4 + 1/30*m**5 - 5*m**2 + 0*m + 0 + 4/3*m**3. Factor a(g).
2*(g - 2)**2
Let q = 1/263 + 523/789. Let 0 + 0*o**2 + 2/3*o - q*o**3 = 0. Calculate o.
-1, 0, 1
Let o(a) be the second derivative of a**5/80 + a**4/8 + a**3/3 + 51*a. Factor o(i).
i*(i + 2)*(i + 4)/4
Let x be 6/(-4) + (-9)/(-2). Suppose x*d - 3 - 3 = 0. What is m in -2 + 1 + m**d + 0*m**2 = 0?
-1, 1
Factor 12/7*o + 0 + 3/7*o**3 + 12/7*o**2.
3*o*(o + 2)**2/7
Let u(v) be the second derivative of v**4/15 + 2*v**3/5 - 8*v**2/5 - v. Factor u(l).
4*(l - 1)*(l + 4)/5
Let c(d) = -2. Let w(n) = 1. Let o(i) = 2*c(i) + 3*w(i). Let h(k) = -12*k**3 - 33*k**2 - 15*k + 10. Let t(l) = -h(l) - 4*o(l). Factor t