irst derivative of r**5/165 - r**4/44 + r**3/33 - 2*r**2 + 5. Let q(t) be the second derivative of c(t). Factor q(f).
2*(f - 1)*(2*f - 1)/11
Factor 1/6*h**4 - 1/6*h**2 + 0 + 0*h**3 + 0*h.
h**2*(h - 1)*(h + 1)/6
Let f(d) be the third derivative of 0*d - 2*d**2 + 0*d**3 + 0 - 1/120*d**5 - 1/24*d**4. Factor f(s).
-s*(s + 2)/2
What is c in 41*c**2 - c**3 - 41*c**2 + c**5 = 0?
-1, 0, 1
Suppose 0 = 17*o + 36 - 70. Let v be 4/6 + 4/(-9). Factor -2/9 + 0*h + v*h**o.
2*(h - 1)*(h + 1)/9
Let x(b) be the first derivative of -b**8/1260 + b**7/315 - b**5/45 + b**4/18 + 2*b**3 + 6. Let w(d) be the third derivative of x(d). Factor w(g).
-4*(g - 1)**3*(g + 1)/3
Suppose 3*j = 6*j + 6*j. Let 0 + j*q**3 + 0*q - 3/2*q**4 + 0*q**2 + 3/2*q**5 = 0. What is q?
0, 1
Factor 4/3*i**3 - 2/3*i**5 - 2/3*i + 2/3*i**4 + 2/3 - 4/3*i**2.
-2*(i - 1)**3*(i + 1)**2/3
Let j be 2 + (1*-27)/3. Let z = j - -8. Factor -a**2 - a - 7 + z + 8.
-(a - 1)*(a + 2)
Let n(k) be the first derivative of k**3 - 33*k**2/8 - 9*k/4 - 42. Suppose n(m) = 0. What is m?
-1/4, 3
Suppose -k - 3*k + 5*j = -27, 5*k + 4*j = 3. Find n, given that -2*n**2 - 9*n**3 - 7*n**2 - 3*n**4 - k*n**3 = 0.
-3, -1, 0
Let j(m) be the first derivative of 3*m**4/4 - 2*m**3 - 3*m**2/2 + 6*m + 10. Solve j(s) = 0.
-1, 1, 2
Let d = -5 + 5. Suppose -12 = -4*h - d*h. Let 4*q**h - 10*q**2 - 2 - 3*q + 2*q**4 - q + 10*q**2 = 0. Calculate q.
-1, 1
Let j(q) = -q**2 - q + 2. Let c be j(0). Factor 7*z**c - 2*z - 6*z**2 - 3*z**2.
-2*z*(z + 1)
Let h(b) = 12*b + 48. Let n be h(-4). Let -2/3*q - 1/3*q**2 + n = 0. Calculate q.
-2, 0
Let o(x) = x**3 - 7*x**2 + x - 1. Let z be o(7). Let a(m) be the third derivative of 0*m + 0*m**3 - m**2 + 0*m**5 + 0 - 1/12*m**4 + 1/60*m**z. Factor a(c).
2*c*(c - 1)*(c + 1)
Let s = -146 + 1601/11. Let g = 7/33 - s. Solve 1/3*o**2 + g - o = 0.
1, 2
Let y be 30/36 - (-20)/(-24). Factor 0 + y*i + 2/9*i**2.
2*i**2/9
Let o(q) be the first derivative of q**5/20 - q**4/32 - q**3/12 + q**2/16 - 14. Solve o(p) = 0.
-1, 0, 1/2, 1
Let b be 12 + (-3 + 3)/2. Suppose -3*o + 5*v + 0*v + 16 = 0, -o = -5*v - b. Find f such that 0 - 1/3*f + f**o - 2/3*f**3 = 0.
0, 1/2, 1
Suppose -5*t - 1 = -3*p + 1, 4*t - 28 = -5*p. Factor f**3 + 1/2*f**2 + 0 + 1/2*f**p + 0*f.
f**2*(f + 1)**2/2
Let c = -3 + -1. Let f = c + 4. Suppose 50*h**5 + 8*h + f*h + 60*h**4 + 0*h - 22*h**3 - 24*h**2 = 0. Calculate h.
-1, 0, 2/5
Suppose 7 + 9 = 2*g. Let s(y) = 10*y**2 + 16*y - 16. Let n(x) = -3*x**2 - 5*x + 5. Let f(v) = g*n(v) + 3*s(v). Factor f(z).
2*(z + 2)*(3*z - 2)
Let y be ((-207)/(-12))/(6/4). Let z = 223/18 - y. Factor 8/9*u - z - 2/9*u**2.
-2*(u - 2)**2/9
Let v(s) be the first derivative of 0*s**2 + 0*s**3 - 1/6*s**6 + 1/6*s**4 + s - 1 - 3/20*s**5. Let h(d) be the first derivative of v(d). Factor h(n).
-n**2*(n + 1)*(5*n - 2)
Suppose 10 - 65 = -5*q. Let k = q + -8. Factor 0*b**k - b**3 + b - 2 + 2.
-b*(b - 1)*(b + 1)
Suppose -8/7 + 10/7*m**2 - 8/7*m - 2/7*m**4 + 10/7*m**3 - 2/7*m**5 = 0. What is m?
-2, -1, 1, 2
Let q(r) be the third derivative of -r**5/12 - 5*r**4/12 - 39*r**2. Factor q(h).
-5*h*(h + 2)
Let r(y) be the third derivative of -y**5/20 - y**4/4 - 5*y**2. Determine h, given that r(h) = 0.
-2, 0
Let l(j) = -11*j**2 + j + 3. Let b(a) = -6*a**2 + 2. Let w(p) = -7*b(p) + 4*l(p). Solve w(x) = 0.
1
Suppose -3*k + 4*k = 4. Let o be 5 + (-5)/((-10)/(-4)). Let 2*a**2 + 3*a + o*a - k*a = 0. What is a?
-1, 0
Factor -4*l**2 + 7*l**3 + 12*l**2 - 8*l - 9*l**3.
-2*l*(l - 2)**2
Suppose 2*c + 6*c = 0. Let x(u) be the third derivative of u**2 - 1/140*u**6 - 1/735*u**7 + 0*u**3 + 0 - 1/84*u**4 + c*u - 1/70*u**5. Factor x(l).
-2*l*(l + 1)**3/7
Suppose -8/9*z + 2/3 + 2/9*z**2 = 0. What is z?
1, 3
Let m = 13786/1915 + 2/1915. Let g(o) be the second derivative of m*o**5 + 0 - 10/3*o**4 + o**2 - 2*o - 7/6*o**3. Factor g(w).
(4*w - 1)**2*(9*w + 2)
Let g be (6/(-6))/(1/2). Let d be (1 - (-1 + g)) + -2. Find p, given that p**5 - 1 + d*p**3 - 2*p**2 + 5*p**2 + 3*p**4 - 3*p - 5*p**2 = 0.
-1, 1
Determine w, given that -2 - 2/3*w**2 - 8/3*w = 0.
-3, -1
Let t(g) be the second derivative of 1/165*g**6 + 13/66*g**4 + 4/11*g**2 - 4/11*g**3 + 2*g - 3/55*g**5 + 0. Suppose t(v) = 0. Calculate v.
1, 2
Let w(d) = -d**3 + 6*d**2 + 11*d - 10. Let q be w(7). What is v in q*v**4 - 27*v**3 + 45*v**2 - 45*v**2 - 3*v**5 = 0?
0, 3
Let d be ((-12)/(-42) - 0)/((-7)/(-14)). Factor -d*t**2 + 8/7*t - 4/7.
-4*(t - 1)**2/7
Determine f, given that 3*f**4 - 2*f**5 - 75*f**3 + 81*f**3 - f**5 = 0.
-1, 0, 2
Let b(o) be the second derivative of 27/2*o**2 - o + 3/4*o**4 + 1/20*o**5 + 9/2*o**3 + 0. Determine f so that b(f) = 0.
-3
Let n(m) be the first derivative of 2*m**3/27 - 2*m**2/3 + 11. Factor n(v).
2*v*(v - 6)/9
Suppose 4*o = -15 + 3. Let b be 12*(o/45)/(-1). Factor 2/5 + b*x - 6/5*x**2.
-2*(x - 1)*(3*x + 1)/5
Suppose 0 = 6*g - 2 - 16. Suppose -2/3 - 5/6*x**2 - 1/6*x**g - 4/3*x = 0. What is x?
-2, -1
Let l(i) = i**3 + i**2 + i. Let p(z) = -3*z**3 - z**2 - 2*z. Let w(h) = 6*l(h) + 3*p(h). Solve w(d) = 0 for d.
0, 1
Suppose -4*k + 115 + 13 = 0. Let s be (-3)/2*k/(-12). Factor -l**5 + l**s - l**3 + 3*l**4 - 2*l**4.
-l**3*(l - 1)**2
Let c be 12/(3/(-2) + 3). Determine p so that 3 - 7 - 4 - p - 4*p**3 + c*p**2 + 5*p = 0.
-1, 1, 2
Let i(j) be the third derivative of j**6/8 - 5*j**5/6 - 5*j**4/3 - 32*j**2. Find r such that i(r) = 0.
-2/3, 0, 4
Let j(p) be the first derivative of -15*p**4/4 + 2*p**3 - 5. Factor j(g).
-3*g**2*(5*g - 2)
Suppose 2*b - 3 = -3*u, 0*b + 24 = 3*u - 5*b. Let 4*z + 4*z**5 + z**5 - u*z**5 - 2*z - 4*z**3 = 0. Calculate z.
-1, 0, 1
Let b(p) be the third derivative of -p**7/280 - p**6/30 - 3*p**5/40 + p**3/3 + 8*p**2. Let f(q) be the first derivative of b(q). Solve f(t) = 0 for t.
-3, -1, 0
Let c = -76 + 81. Let n(d) be the third derivative of -5/4*d**4 + 0 - d**6 + 2*d**2 + 0*d + 1/2*d**3 + 8/35*d**7 + 33/20*d**c. Suppose n(s) = 0. What is s?
1/4, 1
Let m(l) = l**2 - 1. Let u(v) = 3*v**2 - 5*v + 2. Let d(i) = -4*m(i) - u(i). Factor d(p).
-(p - 1)*(7*p + 2)
Let p(r) = 3*r**3 + 3*r**2 + 3. Let s(f) = -9*f**3 - 8*f**2 - 8. Let c(b) = 8*p(b) + 3*s(b). Factor c(q).
-3*q**3
Let i(n) = 6*n**3 - 3*n**2 - 3*n + 9. Let c(a) = -3*a**3 + a**2 + 2*a - 4. Let m(f) = -9*c(f) - 4*i(f). Solve m(d) = 0 for d.
-2, 0, 1
Let v(i) be the first derivative of 2/5*i**4 - 18/5*i - 12/5*i**2 + 8 + 4/15*i**3 - 2/25*i**5. Determine n, given that v(n) = 0.
-1, 3
Let h = 1 - 0. Let o be 4 - (-1 + 4 - h). Let -k**3 - 2*k**2 + k + 3*k**2 - 2*k**o + k**4 = 0. What is k?
-1, 0, 1
Factor 0 + 2/5*w**2 - 1/5*w**4 + 0*w + 1/5*w**3.
-w**2*(w - 2)*(w + 1)/5
Let f = 4 + 0. Solve 2*r - 7*r - r**2 + f*r = 0 for r.
-1, 0
Let h be 10/(-4)*(-5)/25. Let u(a) be the first derivative of a**2 + 0*a - a**3 - h*a**4 + 2 + 3/5*a**5. Suppose u(o) = 0. What is o?
-1, 0, 2/3, 1
Let v = -218 - -220. Find x such that -3/4*x - 3/4*x**v + 0 = 0.
-1, 0
Suppose 0 = 13*z + 4*z - 51. Determine v so that -3/4*v**2 - 1/4*v**z - 1/2*v + 0 = 0.
-2, -1, 0
Let j(o) = 7*o**2 + 7*o - 9. Let g(t) = 3*t**2 + 3*t - 4. Let w(d) = -d**3 + 5*d**2 - d. Let k be w(5). Let f(z) = k*g(z) + 2*j(z). Factor f(y).
-(y - 1)*(y + 2)
Let f(x) be the first derivative of 1/4*x**3 + 1/4*x**2 + 0*x**4 - 3 - 1/20*x**5 + 0*x. Factor f(t).
-t*(t - 2)*(t + 1)**2/4
Let h(j) be the first derivative of 0*j**2 + 8/15*j**3 + 2/5*j**5 - 8 + 0*j - 6/5*j**4. Determine u, given that h(u) = 0.
0, 2/5, 2
Let u(q) = q**2 - 2*q**2 + q - 3 + 4. Let d(i) = -3 + 8*i**2 + 4 - 1 + 5*i**3 + i - 1. Let p(z) = -d(z) - u(z). Suppose p(w) = 0. What is w?
-1, -2/5, 0
Let d(v) be the second derivative of 27/10*v**6 + 0*v**2 + 4*v**3 + 9*v**4 + 0 + 15/2*v**5 + 5*v + 5/14*v**7. Solve d(j) = 0.
-2, -1, -2/5, 0
Let g(m) be the third derivative of -m**7/1050 + m**5/100 + m**4/60 + 9*m**2. Factor g(b).
-b*(b - 2)*(b + 1)**2/5
Let g = 1 - -1. Solve 4 - 3*m - 3*m + g*m**3 - 2 + 2 = 0 for m.
-2, 1
Let r(b) be the first derivative of -2 - 1/9*b**3 - 1/3*b + 1/3*b**2. Factor r(n).
-(n - 1)**2/3
Find h, given that -2*h**4 - 10*h + 2*h**3 + 57*h**4 + 45*h**2 + 19*h**3 - 15*h**5 - 96*h**3 = 0.
0, 2/3, 1
Let b(o) be the first derivative of -o**6/900 + o**4/60 + 4*o**3/3 + 4. Let v(j) be the third derivative of b(j). Find i such that v(i) = 0.
-1, 1
Let z be (0 + -5)*(-39)/260. Factor 3/4*s**3 + 0*s + 0 + z*s*