j(a) = 0. Calculate a.
0, 2/5
Let l(t) = 9*t**2 + 153*t + 44. Let w(s) = 4*s**2 + 76*s + 22. Let a(b) = 3*l(b) - 5*w(b). Find n, given that a(n) = 0.
-11, -2/7
Let n(h) = -h - 9. Let y(p) = p + 9. Let b(i) = -4*n(i) - 5*y(i). Let f be b(-13). Find c, given that 18*c**2 - 25/2*c**4 - 15*c**3 + 0 - f*c = 0.
-2, 0, 2/5
Let c be (-6 + 3 + 0)/(-1). Let i(t) be the first derivative of -1/16*t**4 - 1/4*t - 3/8*t**2 + 2 - 1/4*t**c. Determine f so that i(f) = 0.
-1
Let s(k) be the first derivative of k + 1 - 1/10*k**5 + 0*k**2 + 1/6*k**3 + 0*k**6 + 0*k**4 + 1/42*k**7. Let f(c) be the first derivative of s(c). Factor f(q).
q*(q - 1)**2*(q + 1)**2
Let n(d) = 3*d - 6. Let w be n(4). What is q in 15*q**3 + w + 3*q**4 - q**4 - 15*q - 6*q**4 - 2*q**4 = 0?
-1, 1/2, 1, 2
Let v(g) = 2*g**2 + g. Let y(t) = -10*t**2 - 6*t. Let s(j) = 28*v(j) + 6*y(j). Determine c so that s(c) = 0.
-2, 0
Let m(r) be the first derivative of -6*r**5/35 - 4*r**4/7 - 8*r**3/21 - 4. Factor m(l).
-2*l**2*(l + 2)*(3*l + 2)/7
Let s be (-1)/(315/(-216)) + 6/(-15). Factor 8/7 + 0*o - s*o**2.
-2*(o - 2)*(o + 2)/7
Let o(t) be the third derivative of 8*t**7/315 - t**6/9 + 11*t**5/60 - 5*t**4/36 + t**3/18 - t**2. Find y such that o(y) = 0.
1/4, 1
Suppose 4*u = 2*f - 0*u - 8, -3*u + 7 = 5*f. Let g(t) be the first derivative of -1/4*t**4 + 2/3*t**3 - 2*t - 1 + 1/2*t**f. Factor g(z).
-(z - 2)*(z - 1)*(z + 1)
Let c be (0 + 0)/(3/((-9)/(-3))). Let v(o) be the third derivative of -1/4*o**4 + c*o - 1/15*o**5 + 0*o**3 - o**2 + 0. Solve v(u) = 0.
-3/2, 0
Let f(a) = -a**5 - a**4 - a. Let o(x) = -x**5 - 16*x**4 + 15*x**3 - 6*x**2 - 4*x. Let y(s) = -4*f(s) + o(s). What is v in y(v) = 0?
0, 1, 2
Let v(n) be the third derivative of n**6/420 + 2*n**5/105 + n**4/21 + 16*n**2. Solve v(s) = 0.
-2, 0
Let u be ((-3)/9)/((-33)/54). Let f(a) = -a**2 + 4*a + 2. Let o be f(4). Determine c so that -u*c**o - 2/11*c**4 + 6/11*c**3 + 0 + 2/11*c = 0.
0, 1
Let n be 1151/3 + (-2 - -3). Let x = n + -380. Factor 4/3 + 10/3*t**2 + x*t.
2*(t + 1)*(5*t + 2)/3
Factor 8/5*p**3 + 1/5*p**5 + 0*p + 7/5*p**4 + 0 - 16/5*p**2.
p**2*(p - 1)*(p + 4)**2/5
Let a(p) be the second derivative of p**5/24 + 25*p**4/24 + 35*p**3/4 + 245*p**2/12 - p. Factor a(l).
5*(l + 1)*(l + 7)**2/6
Let g(c) = -c**2 + 4*c + 2. Suppose b + 1 = 5. Let r be g(b). Let 3*h**5 + 1 - 4*h**5 - 2*h**2 - h + 0*h**5 + r*h**3 + h**4 = 0. Calculate h.
-1, 1
Let c(j) = -7*j**3 - 17*j**2 - 23*j - 5. Let g(x) = -6*x**3 - 16*x**2 - 22*x - 4. Let t(d) = 4*c(d) - 5*g(d). Factor t(k).
2*k*(k + 3)**2
Factor 1/4*p**2 - 1/4*p + 0.
p*(p - 1)/4
Let l(d) = 3*d**2 - 11*d. Let t(z) = -15*z**2 + 56*z. Suppose 22 = -4*g + 6*g. Let c(k) = g*l(k) + 2*t(k). Factor c(a).
3*a*(a - 3)
Let z(o) = o**3 - 3*o**2 - 4*o. Let s be z(4). Factor 1/2*r**2 + 0*r + s.
r**2/2
Suppose 3*l - 13 = -2*u, -u - 6 = -8. Determine x so that -1/3*x**l + 1/3*x**2 + 1/3*x - 1/3 = 0.
-1, 1
Suppose -3*o + 7 = -2. Find d, given that 3*d**3 + 4*d**o - 5*d**3 = 0.
0
Let w be 28/15 + -2 - 12/(-90). Factor w*l**2 + 2/3*l**4 + 0*l + 1/3*l**5 + 0 + 1/3*l**3.
l**3*(l + 1)**2/3
Let y(a) = a**3 - a**2 - 6*a. Let r be y(3). Factor 1/3*b**4 + 0*b**3 + 0 + r*b**2 + 0*b.
b**4/3
Let l be ((-8)/(-10))/((-2)/(-5) + 0). Factor -1/2 + 1/2*s**l + 0*s.
(s - 1)*(s + 1)/2
Let z = -618 - -4332/7. Solve 3/7*q + 3/7 - z*q**3 + 3/7*q**5 + 3/7*q**4 - 6/7*q**2 = 0.
-1, 1
Let k(m) be the third derivative of -m**8/1344 + m**6/480 - 5*m**2. Factor k(x).
-x**3*(x - 1)*(x + 1)/4
Suppose 2*o + 2*o**3 + o**2 + 3*o**2 - 5*o**2 + 5*o**2 = 0. Calculate o.
-1, 0
Determine u so that -u**5 - 5*u**4 + 3*u**2 + u**3 + 2*u**4 + 0*u**2 = 0.
-3, -1, 0, 1
Let p(h) be the second derivative of h**8/112 - h**7/35 + h**6/40 - 2*h**2 - h. Let s(m) be the first derivative of p(m). Let s(g) = 0. What is g?
0, 1
Let o(f) be the third derivative of f**5/330 + f**4/66 + 18*f**2. Let o(k) = 0. What is k?
-2, 0
Let w be 21/6*((-216)/28)/(-9). What is p in -3/4*p**2 + 3/4*p**w + 1/4*p - 1/4*p**4 + 0 = 0?
0, 1
Let v(m) = -m**2 - m + 1. Let r(h) = h**3 + 2*h**2 + 8*h + 12. Let f(c) = 2*c**2 + c. Let w be f(-1). Let a(j) = w*r(j) - 4*v(j). Factor a(p).
(p + 2)**3
Suppose 0 = -s + 3 - 6. Let a be 3/(s*9/(-12)). Suppose -2/3*n + 2/3*n**4 + 0 - 2/3*n**2 + 2*n**3 - a*n**5 = 0. What is n?
-1, -1/2, 0, 1
Let p(v) be the third derivative of -v**7/280 + 3*v**6/160 - v**5/80 - 3*v**4/32 + v**3/4 - 4*v**2. Solve p(q) = 0.
-1, 1, 2
Suppose -3*t = -5*z + 10, 2*z - 8 = -2*z + t. Let d be (-2)/4*0/z. Factor 0 - 4/9*g**4 + 0*g**2 - 2/9*g**5 - 2/9*g**3 + d*g.
-2*g**3*(g + 1)**2/9
Let u be (4 - (-16)/(-3))/(-1 - 1). Suppose 0 = 2*j - 8 + 4. Factor 0 + u*g + g**j.
g*(3*g + 2)/3
Let v(o) = o**3 - o - 1. Let y(j) = -9*j**3 - 57*j**2 - 291*j - 237. Let m(s) = -6*v(s) - y(s). Suppose m(k) = 0. Calculate k.
-9, -1
Let u(k) be the third derivative of k**8/1680 + k**7/840 - k**6/360 - k**5/120 + k**3/2 + 2*k**2. Let o(m) be the first derivative of u(m). Factor o(t).
t*(t - 1)*(t + 1)**2
Let b be ((-24)/(-14))/(-4) - 38/(-56). Determine q so that 1/4*q**2 + b*q**3 - 1/4*q - 1/4 = 0.
-1, 1
Suppose -3 - 5 = -4*o - 2*i, o - 2*i - 2 = 0. Suppose 0 = -c + 2*c - o. Factor 10*g - g**2 - 12*g - g**c.
-2*g*(g + 1)
Let u(f) be the third derivative of -f**6/600 + f**4/30 + 2*f**2 - 2. Factor u(b).
-b*(b - 2)*(b + 2)/5
Factor 0 - 80/7*y**2 - 162/7*y**4 - 8/7*y - 234/7*y**3.
-2*y*(y + 1)*(9*y + 2)**2/7
Factor 0*g**3 + 0*g + 1/2*g**4 - 1/2*g**2 + 0.
g**2*(g - 1)*(g + 1)/2
Let c(m) be the third derivative of -m**8/72 - 16*m**7/315 - 11*m**6/180 - m**5/45 - 7*m**2. Let c(r) = 0. What is r?
-1, -2/7, 0
Suppose 0 = 51*w - 49*w - 6. Factor -2/7*v**w + 8/7*v**2 + 4/7 - 10/7*v.
-2*(v - 2)*(v - 1)**2/7
Let k(g) be the first derivative of -2*g**3/3 - 8*g**2 - 32*g - 20. Factor k(y).
-2*(y + 4)**2
Suppose -4*r + 3*r = -3. Suppose -o - 10 = -r*o. Find i, given that 1 + 0 - o + 2*i + 2*i**2 = 0.
-2, 1
Let o(d) be the second derivative of -d**4/3 + 10*d**3/3 - 12*d**2 + 22*d. Factor o(k).
-4*(k - 3)*(k - 2)
Let c be (15/(-21) + 1)/(8/56). Suppose 1/2*h - 1 + 1/2*h**c = 0. What is h?
-2, 1
Let o(x) be the third derivative of -x**6/840 - x**5/42 - 3*x**4/56 - 6*x**2. Determine f, given that o(f) = 0.
-9, -1, 0
Let u(x) = 3*x**2 + 2*x - 4. Let r(l) = 3*l**2 + 2*l - 5. Suppose a - 1 = -4. Let j(y) = a*r(y) + 4*u(y). Find g, given that j(g) = 0.
-1, 1/3
Let m = 14 - 8. Let i = -23 - -27. Suppose m*r - 3/2*r**i - 9*r**2 + 6*r**3 - 3/2 = 0. What is r?
1
Let y be 28/24 - (-15)/10. Factor 0 + y*o**3 + 0*o + 4/3*o**5 + 0*o**2 + 4*o**4.
4*o**3*(o + 1)*(o + 2)/3
Let u be ((-2)/3)/(4 + (-24)/4). Factor -u - 1/3*l + 1/3*l**3 + 1/3*l**2.
(l - 1)*(l + 1)**2/3
Let u(n) = 2 + 8*n + 64*n**3 - 44*n**2 + 0 - 28*n**4 - 2. Let k(l) = 42*l**4 - 96*l**3 + 66*l**2 - 12*l. Let v(y) = -5*k(y) - 8*u(y). Factor v(h).
2*h*(h - 1)**2*(7*h - 2)
Let k(l) = l**2 - l. Let y = 0 + 1. Let f(x) = 7*x**2 - 7*x - 1. Let o(u) = u**2 - u - 1. Let g(j) = y*f(j) - o(j). Let t(p) = 2*g(p) - 11*k(p). Solve t(b) = 0.
0, 1
Let g(j) = j + 4. Let r be g(-6). Let k be 1/(-1) + 1 - r. Determine i so that 0*i**2 - i**2 + i**3 - i**k + i = 0.
0, 1
Let w(y) = y**2 - 4*y - 74. Let m be w(-7). Let v(j) = j + 2. Let f be v(-2). Factor f*h**2 + 4/7 + 2/7*h**m - 6/7*h.
2*(h - 1)**2*(h + 2)/7
Let h(n) = n**3 - 6*n**2 + 5*n + 2. Let x be h(5). Suppose -1 = -3*p + 4*s - 7, 7 = -4*p + 5*s. Find y such that -2*y**x + 1 - p*y - 3*y**2 - 1 = 0.
-2/5, 0
Let -1/4*n - 1/4*n**3 + 0 + 1/2*n**2 = 0. What is n?
0, 1
Let 0 + 10/9*q**2 - 1/3*q - 7/9*q**3 = 0. Calculate q.
0, 3/7, 1
Let y(o) be the first derivative of -o**3/6 + o**2/4 - 7. Factor y(h).
-h*(h - 1)/2
Let j be (15/(-40))/((-3)/2). What is o in 0*o - 1/4 + j*o**2 = 0?
-1, 1
Let i(r) be the first derivative of 0*r + 0*r**2 + 3/28*r**4 + 2 + 1/1260*r**6 - 2/3*r**3 + 1/70*r**5. Let c(o) be the third derivative of i(o). Factor c(v).
2*(v + 3)**2/7
Suppose 0 = 5*p - l - 15, -2*p + l = -0*l - 9. Let a be (52/(-12))/(p/(-6)). Factor 6*n**3 + 2*n**4 - a*n + 4*n - 3*n + 12 + n**4 - 9*n**2.
3*(n - 1)**2*(n + 2)**2
Let r(p) be the first derivative of p**4 - 4*p**3 + 16*p + 8. Let r(w) = 0. Calculate w.
-1, 2
Let b(q) be the second derivative of 0*q**3 + 0*q**5 + q + 0*q**2 + 1/10*q**6 + 0 + 0*q**4. Determine s so that b(s) = 0.
0
Let j(d) be the second der