
Let 0 + 4/7*f**2 - 32/7*f**5 + 80/7*f**4 - 34/7*f**3 + 0*f = 0. Calculate f.
0, 1/4, 2
Suppose 12 = 5*l - 2*l. Let t be ((-9)/4)/((-15)/10). Factor -r**2 + 0*r**l - t*r + 2*r**3 - 1/2*r**5 + 1.
-(r - 1)**3*(r + 1)*(r + 2)/2
Determine b, given that -2/11*b**3 + 0 - 4/11*b**2 - 2/11*b = 0.
-1, 0
Let f(g) be the third derivative of 0 + 0*g + 1/1176*g**8 + 1/105*g**5 + 0*g**7 + 5*g**2 - 2/21*g**3 + 1/28*g**4 - 1/105*g**6. Factor f(l).
2*(l - 1)**3*(l + 1)*(l + 2)/7
Let s(o) be the first derivative of -2*o**5/25 + 3*o**4/10 - 4*o**3/15 - 1. Factor s(y).
-2*y**2*(y - 2)*(y - 1)/5
Let b(z) = -z**2 - 10*z + 3. Let g be b(-10). Suppose -3*c + 5 + 4 = g*s, -4*s - 3*c = -13. Factor 0*j**2 + s*j**2 - 5*j**2 + 1.
-(j - 1)*(j + 1)
Let a(g) = g**3 - 3*g**2 - 8*g - 3. Let p be a(6). Determine z so that -p*z**3 - 5*z**2 - 2 + 4 - 47*z**2 + 248*z**4 - 144*z**5 + 3*z = 0.
-1/4, 2/9, 1
Let o be (3 - 3)*-1 - -5. Let v(w) be the first derivative of 2 + 0*w + 1/8*w**4 + 0*w**2 + 1/12*w**3 + 1/20*w**o. Factor v(y).
y**2*(y + 1)**2/4
Let k = 275/7176 - -1/299. Let v(o) be the third derivative of 0 + 4*o**2 + 0*o**5 + k*o**4 + 0*o**3 - 1/120*o**6 + 0*o. Factor v(a).
-a*(a - 1)*(a + 1)
Let j(k) be the first derivative of -7/54*k**4 + 1/18*k**5 + 0*k**2 + 2/27*k**3 + 2 + k. Let n(v) be the first derivative of j(v). Find b such that n(b) = 0.
0, 2/5, 1
Let g(r) be the second derivative of -1/25*r**5 + 0 - 1/105*r**7 - 1/25*r**6 + 1/5*r**3 + 1/5*r**2 + 1/15*r**4 + 3*r. Factor g(j).
-2*(j - 1)*(j + 1)**4/5
Let d(s) = -4*s + 3. Let z be d(4). Let j = -9 - z. What is f in -2/7*f**3 + 0*f + 2/7*f**5 - 2/7*f**2 + 0 + 2/7*f**j = 0?
-1, 0, 1
Let z = -3/5 + 14/15. Factor -z*p**3 - 2/3 + p + 0*p**2.
-(p - 1)**2*(p + 2)/3
Factor -3*l**3 - 9 - l**4 + 3 + 6*l**4 + 3*l - 8*l**4 + 9*l**2.
-3*(l - 1)**2*(l + 1)*(l + 2)
Let j(v) be the second derivative of -v**7/10080 - v**6/480 - 3*v**5/160 + 5*v**4/12 - 3*v. Let w(u) be the third derivative of j(u). Factor w(d).
-(d + 3)**2/4
Let h(a) = -a + 1. Let u be h(-4). Suppose -13 + u = -4*i. Factor -4 + 1 + y + 2*y**2 - i*y**4 + 3 - y**5.
-y*(y - 1)*(y + 1)**3
Suppose 3*d + v = d + 17, -3*d + v + 28 = 0. Suppose -b - 2*x - 1 = -2, 2*b - 3*x - d = 0. Let 2/11 - 2/11*u**b + 6/11*u**2 - 6/11*u = 0. Calculate u.
1
Let u(a) be the first derivative of a**5/10 + a**4/4 + a**3/6 + 4. Find m such that u(m) = 0.
-1, 0
Let g = -980 - -980. Solve 1/3*m**3 + 1/3*m + g - 2/3*m**2 = 0.
0, 1
Let k be (1 - (-2)/2) + 2. Factor 3 + 0*s**4 - k*s - 6*s + 6*s**3 - 3*s**4 + 4*s.
-3*(s - 1)**3*(s + 1)
Suppose 0 = -r + 3*r - 2. Let a(b) = 1. Let s(u) = -u**2 + 6. Let o(j) = -5*a(j) + s(j). Let g(k) = -6*k**2 - 2*k + 8. Let z(l) = r*g(l) - 8*o(l). Factor z(p).
2*p*(p - 1)
Factor -3*r + 3/4*r**2 - 9.
3*(r - 6)*(r + 2)/4
Let x(d) be the first derivative of d**6/9 - 88*d**5/15 + 673*d**4/6 - 7924*d**3/9 + 6076*d**2/3 - 5488*d/3 + 32. Factor x(s).
2*(s - 14)**3*(s - 1)**2/3
Factor 0*g - 16/15*g**2 + 8/5*g**3 - 4/5*g**4 + 0 + 2/15*g**5.
2*g**2*(g - 2)**3/15
Let t(a) = -2*a - 16. Let o be t(-9). Suppose -7*p = -2*p - 20. Factor 18*f**3 - 6*f**3 - p*f + o*f**5 - 8*f**4 - 8*f**2 + 6*f.
2*f*(f - 1)**4
Let x(a) = -a + 7. Let w be x(5). Find t, given that -12 - 7*t**2 + 2*t**2 + 8*t + 4*t + 2*t**w = 0.
2
Let n be (-1266)/(-108) + (-2)/(-4). What is r in -38/9*r**3 + 16/9*r - 46/9*r**2 + n*r**4 + 8/9 - 50/9*r**5 = 0?
-2/5, 1
Let t(s) = 6*s**3 - 38*s**2 + 9*s + 20. Let q be t(6). Factor -2*h**3 - 14/11*h - 4/11 + 40/11*h**q.
-2*(h - 1)**2*(11*h + 2)/11
Let u(n) = -12*n**2 + 39*n - 9. Let v(z) = -5*z**2 + z - 5. Let r(k) = -4*k**2 + k - 4. Let x(p) = -6*r(p) + 5*v(p). Let h(y) = -u(y) - 3*x(y). Factor h(b).
3*(b - 2)*(5*b - 2)
Let g(c) be the second derivative of c**7/84 + c**6/20 + 3*c**5/40 + c**4/24 + 8*c. Factor g(p).
p**2*(p + 1)**3/2
Let y = -2 + 4. Let x be (-1)/((-2)/4)*1. Find s, given that -3*s**x - 3*s**2 + 2*s**3 + 4*s**y = 0.
0, 1
Factor -2/11*z**2 + 10/11*z - 8/11.
-2*(z - 4)*(z - 1)/11
Let b be -5 - (-5)/20 - -5. What is q in 3/4*q**2 - b + 1/2*q = 0?
-1, 1/3
Let w(o) be the second derivative of o**4/9 + 4*o**3/9 + 2*o**2/3 + 21*o. Factor w(g).
4*(g + 1)**2/3
Suppose -3*l + 10 = 4*a, -a = l + l. Let y be a - (2/(-5) + 4). Let -4/5*o + 2/5*o**2 + y = 0. Calculate o.
1
Let g(w) be the second derivative of -w**5/6 + w**4/9 + 5*w**3/9 - 2*w**2/3 - 3*w. Factor g(l).
-2*(l - 1)*(l + 1)*(5*l - 2)/3
Let y(f) be the first derivative of 7*f**6/10 + 27*f**5/20 + f**4/2 + 6*f + 7. Let g(x) be the first derivative of y(x). Factor g(m).
3*m**2*(m + 1)*(7*m + 2)
Let c be 1/(-2)*(-36)/54. Solve -2/3*o - 1/3*o**2 - c = 0 for o.
-1
Let l be (-2)/(-10)*3*(-230)/(-207). Factor 4*s**3 + 16/3*s + 8*s**2 + 0 + l*s**4.
2*s*(s + 2)**3/3
Let i = -36 + 36. Let o(z) be the first derivative of -2/3*z + 2/3*z**2 + 2/15*z**5 - 1/3*z**4 + i*z**3 - 2. Factor o(c).
2*(c - 1)**3*(c + 1)/3
Let p = 300 + -6299/21. Let w(r) be the third derivative of p*r**3 + 0 - 4*r**2 - 1/210*r**5 + 0*r**4 + 0*r. Determine i so that w(i) = 0.
-1, 1
Let x(m) be the second derivative of m**7/21 - 2*m**6/15 + m**5/10 - 7*m. Determine q, given that x(q) = 0.
0, 1
Factor 344 + 26*x**4 + 10*x**5 - 344 + 22*x**3 + 6*x**2.
2*x**2*(x + 1)**2*(5*x + 3)
Suppose 209 = 2*o + 5*w, 4*w - 22 = -2*o + 190. Let n be (o/12)/(-4) + 3. Determine d, given that 0 - n*d**2 + 0*d = 0.
0
Let y(h) be the third derivative of -h**7/165 - 13*h**6/330 - 9*h**5/110 - h**4/33 + 4*h**3/33 + 5*h**2. Find z such that y(z) = 0.
-2, -1, 2/7
Let r be 0 - (11/(-3) + 3). Suppose 0 + r*d + 1/3*d**2 = 0. Calculate d.
-2, 0
Factor -8/5*o + 4/5*o**2 - 12/5.
4*(o - 3)*(o + 1)/5
Find d, given that 3*d**3 + 1 - 19/4*d**2 - 3*d = 0.
-2/3, 1/4, 2
Factor 18 + 6*y - 6*y**2 - 22 - 20*y.
-2*(y + 2)*(3*y + 1)
Let r(d) be the second derivative of d**7/378 + 2*d**6/135 + d**5/45 - d**4/54 - 5*d**3/54 - d**2/9 + 11*d. Find s such that r(s) = 0.
-2, -1, 1
Let t be (4/3)/(6/(-27)). Let b be 9/36 + t/(-8). Let -27/2*w**5 + b - 9/2*w + 18*w**3 + 0*w**4 - w**2 = 0. What is w?
-1, -2/3, 1/3, 1
Solve 0*r - 8/3*r**4 + 0 - 2/3*r**5 - 4/3*r**2 - 10/3*r**3 = 0.
-2, -1, 0
Let y be (-1)/((-3)/4)*9. Determine i so that 9*i + 12 + 2*i**2 - y*i + i**2 - 9*i = 0.
2
Factor 0 - 28/3*z**3 - 55/6*z**4 + 25/6*z**5 - 2*z**2 + 0*z.
z**2*(z - 3)*(5*z + 2)**2/6
Let v(o) be the first derivative of -o**5/90 - o**4/36 - o**2 - 3. Let z(l) be the second derivative of v(l). Determine w so that z(w) = 0.
-1, 0
Let c = 63 - 61. Let -1/5*y**5 + 1/5 - y + 2*y**2 - c*y**3 + y**4 = 0. What is y?
1
Let k = -7 - -7. Find a such that k + 0 + a**2 + 2*a + 0*a**3 - 3*a**3 = 0.
-2/3, 0, 1
Let g(q) = q**3 + 8*q**2 + 7*q + 3. Let t be g(-7). Solve -2*v**2 - 3*v - 2*v**2 + 2 - 4 - v**t - 2*v = 0.
-2, -1
Let c(u) be the third derivative of -u**8/126 + 2*u**7/105 + 31*u**6/720 - 11*u**5/180 - 5*u**4/48 - u**3/18 + 4*u**2. Solve c(r) = 0 for r.
-1, -1/4, 1, 2
Let r(m) be the second derivative of 1/20*m**5 + m**2 - 1/6*m**3 - 2*m - 1/6*m**4 + 0. What is g in r(g) = 0?
-1, 1, 2
Let w be 22/9 + (6 + -6 - 2). Solve 2/9 - 4/9*t**3 - 2/9*t**2 + w*t = 0.
-1, -1/2, 1
Let l(v) = -9*v**3 - 2*v**2. Let s(o) = -17*o**3 - 4*o**2. Let m = 3 + 2. Let r(y) = m*l(y) - 3*s(y). Factor r(k).
2*k**2*(3*k + 1)
Suppose 0 = p - 2*p + 3. Factor 1/4*m**p + 1/4*m + 1/2*m**2 + 0.
m*(m + 1)**2/4
Let t(d) be the first derivative of 2*d**5/55 + 3*d**4/11 + 10*d**3/33 + 3. Suppose t(h) = 0. Calculate h.
-5, -1, 0
Let f(t) = t + 4. Let n be f(-2). Suppose 11 = -5*l + 36. What is d in d**2 - d + l*d - 3*d**2 - n = 0?
1
Let p(u) be the third derivative of -u**7/280 - u**6/48 - u**5/20 - u**4/16 - u**3/24 - 24*u**2. Factor p(s).
-(s + 1)**3*(3*s + 1)/4
Suppose 0 = o + 2*o - 15. Factor 3 + 12*i**5 - 3 - i**4 - 11*i**o.
i**4*(i - 1)
Let i(t) be the third derivative of t**5/360 + t**4/72 - 12*t**2. Factor i(c).
c*(c + 2)/6
Let k(m) be the first derivative of 5*m**3/3 + 4. Solve k(t) = 0 for t.
0
Let g(r) = -3*r. Let q be g(-3). Let v be 3/q*1*16. What is s in -s**2 + 7*s**5 + 4/3 - 1/3*s**4 + v*s - 37/3*s**3 = 0?
-1, -2/3, -2/7, 1
Let k(v) = 15*v**4 + 27*v**3 + 7*v**2 - 27*v + 11. Let l(d) = 4*d**4 + 7*d**3 + 2*d**2 - 7*d + 3. Let o(f) = 6*k(f) - 22*l(f). Let o(n) = 0. Calculate n.
-4, -1, 0, 1
Factor -86*l**2 - 2*l**3 + 6*l + 83*l**2 - l**3.
-3*l*(l - 1)*(l