Let n(s) = y(s) + 4*z(s). Let k be n(-1). Factor -3*q**3 + 6*q**2 - k*q**3 - 3*q**3 + 5*q**3.
-3*q**2*(q - 2)
Let n be 309/2*46/69. Let m = -101 + n. Factor -8/3*p**2 + 0 - m*p**3 - 2/3*p.
-2*p*(p + 1)*(3*p + 1)/3
Let c(g) be the second derivative of -7*g**6/60 - g**5/2 + g**4/8 + 7*g**3/3 - g**2 - 57*g. Let c(f) = 0. Calculate f.
-2, 1/7, 1
Let x(g) = g**3 + 11*g**2 + 7*g - 30. Let a be x(-10). Suppose -2*v - 3*n = 2*v - 28, -v + 4*n - 12 = a. Factor 0*s**3 + 0 - 3/4*s**2 + 1/2*s + 1/4*s**v.
s*(s - 1)**2*(s + 2)/4
Suppose -445 = -106*g + 17*g. Let t(f) be the third derivative of 0*f + 1/6*f**4 - 1/30*f**g + 0*f**3 + 0 + f**2. Factor t(p).
-2*p*(p - 2)
Let n(c) = -2*c**4 - c**3 - c. Let q(m) = 10*m**4 - 3*m**3 + 6*m**2 + 11*m. Let i(k) = -6*n(k) - q(k). Suppose i(v) = 0. What is v?
-5, -1/2, 0, 1
Find j such that -36/7 - 18*j - 38/7*j**2 = 0.
-3, -6/19
Let z be (-39)/(-9) + (-10 - -6). Let b be (-14)/(-42)*(1 + 1). Factor -b - z*f**2 - f.
-(f + 1)*(f + 2)/3
Let d(g) be the third derivative of g**8/26880 + g**7/20160 - g**6/1440 + g**5/10 - 3*g**2. Let q(p) be the third derivative of d(p). Factor q(a).
(a + 1)*(3*a - 2)/4
Let k(n) be the first derivative of -n**6/6 + 7*n**5/10 + n**4/12 - 2*n**3 - 9*n**2/2 + 33. Let j(l) be the second derivative of k(l). Factor j(v).
-2*(v - 2)*(2*v + 1)*(5*v - 3)
Let h be ((-2)/6)/(3/(-36)). Find w, given that -4*w**4 - 8*w**2 + 0*w**4 + 4*w**h + 4*w**3 + 4*w**4 = 0.
-2, 0, 1
Let t(a) be the second derivative of -a**6/6 - 5*a**5/4 - 15*a**4/4 - 35*a**3/6 - 5*a**2 - 5*a + 2. Factor t(r).
-5*(r + 1)**3*(r + 2)
Let r(x) be the third derivative of -1/30*x**5 - 9*x**2 + 1/180*x**6 + 1/315*x**7 - 5/36*x**4 - 2/9*x**3 + 0*x + 0. Factor r(m).
2*(m - 2)*(m + 1)**3/3
Let u = 12 + -10. Determine o, given that -49*o**3 + 6*o**3 + 11*o**u + 75*o**4 - 42*o**3 - o**2 = 0.
0, 2/15, 1
Let a(y) be the second derivative of y**6/10 + y**5/8 - 13*y**4/24 + y**3/6 + 94*y. Suppose a(o) = 0. Calculate o.
-2, 0, 1/6, 1
Let w(o) be the third derivative of 1/40*o**6 - 2*o**2 + 0*o**5 + 0 - 3/8*o**4 - o**3 + 0*o. Solve w(j) = 0.
-1, 2
Let m(q) be the second derivative of -q**6/240 + q**5/40 - q**4/24 + 27*q**2/2 + 19*q. Let b(t) be the first derivative of m(t). Find i, given that b(i) = 0.
0, 1, 2
Factor 0 - 6/13*t + 4/13*t**2 + 2/13*t**3.
2*t*(t - 1)*(t + 3)/13
Let c(z) = z**3 + 2*z - 1. Let q be c(3). Suppose 3*f - o + 0 - 5 = 0, 15 = -f - 3*o. Solve -44*t**2 + f*t - 4*t**3 + q*t**2 - 8*t = 0.
-2, -1, 0
Let d(h) = 33*h + 564. Let a be d(-17). Find o such that 3/2*o - 1/2*o**5 - 3/2*o**4 - o**a + 1/2 + o**2 = 0.
-1, 1
Let 49/8 - 35/8*q - 1/8*q**3 - 13/8*q**2 = 0. Calculate q.
-7, 1
Let v(m) be the second derivative of m**5/20 + 3*m**4/8 + m**3 - 7*m**2 + 15*m. Let l(h) be the first derivative of v(h). Find i, given that l(i) = 0.
-2, -1
Let k(l) = l**3 + 6*l**2 - l - 3. Let b be k(-6). Let p be (-7)/(-42) + b/54. Factor -2/9*w + 0 - p*w**2.
-2*w*(w + 1)/9
Let a be ((-728)/(-2080))/(2/5). Determine q so that -1/2*q**4 - 13/8*q**3 - 1/8 - a*q - 15/8*q**2 = 0.
-1, -1/4
Let p(s) be the first derivative of s**4/4 + 11*s**3/3 - 746. Factor p(i).
i**2*(i + 11)
Let o(z) = z**3 + 1. Let u(d) = d**3 + 6*d**2 + 2*d - 3. Let v(t) = -3*o(t) + u(t). Factor v(a).
-2*(a - 3)*(a - 1)*(a + 1)
Let n be 345/(-460)*(-7)/3 + -1. Factor -1/2*j**3 - 1/2 + n*j + 3/4*j**2.
-(j - 2)*(j + 1)*(2*j - 1)/4
Factor 0*c + 0 - 3/5*c**3 - 3/5*c**4 + 6/5*c**2.
-3*c**2*(c - 1)*(c + 2)/5
Let c(i) be the third derivative of -i**7/27720 - i**6/7920 - i**4/12 - 34*i**2. Let j(q) be the second derivative of c(q). Solve j(l) = 0 for l.
-1, 0
Suppose d - 2*d - 12 = 0. Let j(l) = -2*l**2 - 1. Let f(w) = -w**2 + w - 1. Let y(v) = d*f(v) + 4*j(v). Factor y(a).
4*(a - 2)*(a - 1)
Let u = -8771/3 - -2924. Find a such that 1/6 - 1/3*a**3 + 0*a**2 + u*a - 1/6*a**4 = 0.
-1, 1
Let w(m) = m**3 + m**2 - 2*m - 4. Let s be w(2). Suppose 2*u + 2*c - 3*c = 4, 5*u - 7 = s*c. Factor 2*g**2 - 2*g**4 - 2*g**5 + 1 - 6*g**3 - 1 + 8*g**u.
-2*g**2*(g - 1)*(g + 1)**2
Let u(t) be the second derivative of 1/80*t**5 + 0*t**2 + 19*t + 1/24*t**3 + 1/24*t**4 + 0. Factor u(n).
n*(n + 1)**2/4
Let y(b) be the third derivative of -b**7/140 - b**6/20 + b**5/20 + 3*b**4/4 - 9*b**3/4 - 16*b**2. Solve y(x) = 0 for x.
-3, 1
Let q = 54366/7 - 7766. Let l be (-2)/9 + (-2)/(-9). Factor 6/7*h**3 + 0*h + 10/7*h**4 + l - q*h**2.
2*h**2*(h + 1)*(5*h - 2)/7
Factor -54/11*k - 10/11*k**2 - 56/11.
-2*(k + 4)*(5*k + 7)/11
Let v(n) be the third derivative of -n**5/150 - 17*n**4/60 - 2*n**3 - 30*n**2. Factor v(h).
-2*(h + 2)*(h + 15)/5
Suppose 10*a - 26 = 9*a. Suppose 14 = -4*i + a. Determine v, given that v**2 - 1/2*v + 0 - 1/2*v**i = 0.
0, 1
Let p(n) = -n**2 - 5*n - 5. Let m be p(-5). Let v be m + 8 + 102/(-21) + 2. Factor 0*l**2 + v*l**4 + 0*l + 0 + 1/7*l**3.
l**3*(l + 1)/7
Let y(i) be the first derivative of -i**6/900 - i**5/50 - 3*i**4/20 + 3*i**3 + 11. Let r(m) be the third derivative of y(m). Determine d so that r(d) = 0.
-3
Let 1/2*m**4 + 0*m**2 + 5/2*m**3 + 0 + 0*m = 0. What is m?
-5, 0
Suppose t = 3*n + 9, t + 66 = 5*t - 2*n. Suppose t = 5*f + 3*p, 0 = f - p - 2*p. Factor -f*z + 3/2*z**2 + 3/2.
3*(z - 1)**2/2
Factor -17*g**2 + 90*g + 54*g**2 - 4*g**3 - 99*g + 5 - 5.
-g*(g - 9)*(4*g - 1)
Factor 47882 - 14393 + 8*t - 374*t + t**2.
(t - 183)**2
Let g be (5 + -3)/(58 - 49). Factor g*j**2 + 8/9*j + 2/3.
2*(j + 1)*(j + 3)/9
Let a = -3635231/2318855 + -18/24409. Let r = -7/19 - a. Factor -3/5*g**2 + 0*g - r*g**3 - 3/5*g**4 + 0.
-3*g**2*(g + 1)**2/5
Let w(o) be the first derivative of 0*o**5 - o**2 - 4/3*o + 4/9*o**3 + 2/3*o**4 - 1/9*o**6 + 7. Determine f, given that w(f) = 0.
-1, 1, 2
Let r = 1071 + -1069. Factor -8/5*t**3 + 12/5*t + 0 - 4/5*t**r.
-4*t*(t - 1)*(2*t + 3)/5
Suppose -3*n = -2*t - 2, 2*t = -5*n - 0*t - 2. Let p be n + 12/3 - 2. Let 3*i**p + 0*i**5 + 0*i**3 - 3*i**4 + i - 2*i**5 + i**3 + 0*i**3 = 0. What is i?
-1, -1/2, 0, 1
Let c(j) = 2*j**3 - j**2. Let o(r) = 3*r - 37. Let y be o(12). Let s(f) = -6*f**4 - 14*f**3 - 34*f**2 - 18*f - 4. Let w(t) = y*s(t) + 4*c(t). Factor w(n).
2*(n + 1)**3*(3*n + 2)
Factor -166*z**2 + 92*z - 29*z**3 + 83*z**3 + 36*z**3 - 16.
2*(z - 1)*(5*z - 2)*(9*z - 4)
Let m(y) = -y**3 - 4*y**2 - 11*y - 22. Let w be m(-3). Suppose 5/2*l**w + 0 + 5/2*l = 0. What is l?
-1, 0
Let w(p) be the first derivative of -18/5*p - 2/5*p**5 + 1/5*p**4 + 28/15*p**3 - 3/5*p**2 + 1/15*p**6 + 13. Let w(m) = 0. Calculate m.
-1, 1, 3
Let a be (73/(-25) - -3) + ((-207)/25)/(-9). Factor -o - a - 1/4*o**2.
-(o + 2)**2/4
Let m(w) = -w**2 - 332*w + 1347. Let z be m(4). Factor 0 + 9/4*g + 39/4*g**2 + z*g**3.
3*g*(g + 3)*(4*g + 1)/4
Let u = 22495/76 - 296. Let l = 79/228 + u. Factor -l*c**2 + 1/3*c + 2/3.
-(c - 2)*(c + 1)/3
Suppose t + 5*l = -28, 0*t + 3*l = 2*t + 4. Let a be -1*(t/2 - 0). Find i such that 2*i**2 + i**5 - i + 1 - 2*i - 2*i**4 + 2*i**3 - 2*i**4 + i**a = 0.
-1, 1
Let y(d) be the second derivative of 0 + 4/3*d**4 + 0*d**2 + 1/5*d**5 + 22*d + 2*d**3. Factor y(k).
4*k*(k + 1)*(k + 3)
Let n(z) = 9*z**2 + 5*z - 2. Let t(a) = 5*a**2 + 3*a - 1. Let w(s) = -4*n(s) + 7*t(s). Let d(m) = 4*m**2 - 10*m + 4. Let c(l) = -2*d(l) - 4*w(l). Factor c(q).
-4*(q - 3)*(q - 1)
Let g(t) be the first derivative of 1/6*t**3 + 1 - 1/24*t**4 + 2*t - 1/4*t**2. Let x(l) be the first derivative of g(l). Factor x(z).
-(z - 1)**2/2
Let m(u) = -114*u**2 + 84*u + 45. Let x(i) = 113*i**2 - 79*i - 44. Let t(d) = 2*m(d) + 3*x(d). Factor t(k).
3*(k - 1)*(37*k + 14)
Factor 2*x**3 + 2*x**3 + 626*x**4 - 602*x**4 - 20*x**2.
4*x**2*(x + 1)*(6*x - 5)
Suppose -3*m - 7 = 2*j, j - 5 = -4*m - 21. Determine d so that -3/2*d**j + 0*d + 3*d**3 + 0 + 0*d**2 = 0.
0, 2
Let c(j) = j**2 - 5*j + 3. Let s be c(5). Factor -4*z - 161*z**3 + 6*z**2 + 0*z + 0*z**4 - 6*z**4 + 163*z**s + 2*z**5.
2*z*(z - 2)*(z - 1)**2*(z + 1)
Let r be -4 + (-33)/(-3) + 1. Solve 0*k**2 + r*k + 4*k**2 + k**2 - 4*k**3 - k**2 = 0.
-1, 0, 2
Let c(m) = 4*m + 10. Let g(b) = -5*b - 11. Let l(r) = -4*c(r) - 3*g(r). Let z be l(-9). Find q such that q + q - 6*q - 2*q**z + 0*q + 6 = 0.
-3, 1
Let l(c) be the third derivative of -c**8/336 + c**7/70 - c**6/40 + c**5/60 + 39*c**2 + 1. Find u such that l(u) = 0.
0, 1
Let j(z) be the second derivative of z**4/6 - 23*z**3/36 - z**2/6 + 32*z. Factor j(f).
