(g) be the first derivative of 7*g**3/12 - 51*g**2/8 + 7*g/2 - 41. Let b(u) = 0. What is u?
2/7, 7
Let z(y) be the third derivative of y**10/15120 - y**9/2520 + y**8/1120 - y**7/1260 - y**4/24 - 2*y**2. Let a(h) be the second derivative of z(h). Factor a(k).
2*k**2*(k - 1)**3
Let r(j) = -j**3 - j**2 + j. Let g(m) = -6*m**3 + m**2 + 14*m. Let l(x) = 5*g(x) - 35*r(x). Factor l(q).
5*q*(q + 1)*(q + 7)
Let f(z) be the third derivative of 0*z + 1/420*z**6 + 5*z**2 + 0 + 0*z**3 + 1/84*z**4 + 1/105*z**5. Solve f(s) = 0.
-1, 0
Let w(g) = g**2 + 2*g + 2. Let x be w(-4). Let p = 10 + -8. Factor -2*z**p + 0*z + 8*z + 2 - x.
-2*(z - 2)**2
Suppose t - 3*a + 4 = 0, 4*a - 12 = -t - a. Determine p so that p + 14*p**4 + 3*p - 17*p**2 - 4*p**3 + 3*p**t = 0.
-1, 0, 2/7, 1
Let z(f) = 6*f**3 - 54*f**2 + 94*f - 34. Let h = 20 - 18. Let b(g) = -5*g**3 + 55*g**2 - 93*g + 33. Let v(c) = h*b(c) + 3*z(c). Factor v(l).
4*(l - 3)**2*(2*l - 1)
Find m such that 46/3*m + 1/3*m**2 + 529/3 = 0.
-23
Let p(a) be the third derivative of -a**6/160 - a**5/16 - 3*a**4/16 - 11*a**2. What is x in p(x) = 0?
-3, -2, 0
Let x(y) be the first derivative of -y**8/840 + y**7/210 - y**5/30 + y**4/12 - 2*y**3 + 7. Let o(p) be the third derivative of x(p). Factor o(w).
-2*(w - 1)**3*(w + 1)
Factor -2/9*k**2 + 2/3*k + 0.
-2*k*(k - 3)/9
Factor -6*a**2 + 3/2*a**3 + 15/2*a - 3.
3*(a - 2)*(a - 1)**2/2
Let l(y) be the first derivative of 12*y**5/35 - 4*y**4/7 - 4*y**3/3 + 8*y**2/7 + 16*y/7 + 71. What is k in l(k) = 0?
-1, -2/3, 1, 2
Let u(g) = -2*g**2 - 5*g - 3. Let j(o) = 3*o**2 + 9*o + 6. Let a(f) = -5*j(f) - 9*u(f). Factor a(y).
3*(y - 1)*(y + 1)
Let g be -2*2 - 12567/12. Let x = g - -1058. What is j in 0 + 23/4*j**4 - 1/2*j - 7/4*j**5 + 13/4*j**2 - x*j**3 = 0?
0, 2/7, 1
Let f(p) be the first derivative of -p**7/840 - 7*p**6/1800 - p**5/300 + 2*p**3 + 4. Let w(l) be the third derivative of f(l). Factor w(r).
-r*(r + 1)*(5*r + 2)/5
Let x(r) be the second derivative of r**6/180 - r**5/54 + r**4/108 + r**3/27 + r**2/2 - 3*r. Let p(m) be the first derivative of x(m). Factor p(c).
2*(c - 1)**2*(3*c + 1)/9
Suppose 1 - 35*o**2 - 10 - 28*o - 1 - 17*o = 0. Calculate o.
-1, -2/7
Let c = -5788/5 + 1158. Let 1/5*m**2 + 1/5 - c*m = 0. What is m?
1
Suppose 35 + 100 = -3*x. Let q be 10/x + (-38)/(-9). Let 2*p**4 - 3*p**3 + 4 - 15*p**3 - 14*p**2 + 4*p**3 + 2*p + q*p**5 = 0. What is p?
-1, 1/2, 2
Let z(s) = s**2 - s. Suppose -2*m + 2 + 0 = 0. Let b be z(m). Let -2/5*d + 2/5*d**3 + 0 + b*d**2 = 0. What is d?
-1, 0, 1
Solve -107*a - 118*a - 3*a**2 + 234*a = 0.
0, 3
Let t(r) be the first derivative of 2/3*r**3 + 0*r**2 + 0*r - 1/4*r**4 + 2. Factor t(m).
-m**2*(m - 2)
Let l(p) be the second derivative of -p**6/60 + 11*p**5/80 - 3*p**4/8 + p**3/6 + p**2 + 7*p. Factor l(s).
-(s - 2)**3*(2*s + 1)/4
Let r(v) be the second derivative of v**7/63 - 2*v**6/45 + v**5/30 + 16*v. Determine u so that r(u) = 0.
0, 1
Let t(c) be the third derivative of -c**8/420 + 2*c**7/525 + c**6/30 - c**5/75 - 4*c**4/15 - 8*c**3/15 + 12*c**2. Let t(x) = 0. Calculate x.
-1, 2
Let z(o) be the first derivative of -2/3*o**3 - 1/3*o**4 + 0*o + 0*o**2 - 1/15*o**5 - 1/180*o**6 - 3. Let k(v) be the third derivative of z(v). Factor k(u).
-2*(u + 2)**2
Let a be 3 - 1 - (2 - 0). Let l be (-14)/49 - 104/(-70). Factor 2/5*t**2 + 0 - l*t**4 + a*t + 4/5*t**3.
-2*t**2*(t - 1)*(3*t + 1)/5
Let p be (0 - 1)*(1 + -5). Factor -1/2*g - 1/2*g**2 + 1/2*g**3 + 1/2*g**p + 0.
g*(g - 1)*(g + 1)**2/2
Let g = -8 - -82. Let r = 224/3 - g. Let 4/3*z**2 + 0 + r*z**3 + 2/3*z = 0. What is z?
-1, 0
Let b(j) = 4*j**3. Suppose -4*p - 4*x - 4 = -x, 0 = 4*x. Let n(u) = u**3 + u. Let r(c) = p*b(c) + 2*n(c). Solve r(w) = 0.
-1, 0, 1
Suppose 2*j = b - 10, j - 6*j = -3*b + 25. Let o(f) be the first derivative of 8*f**3 - 4*f**2 + 2 + b*f - 9/2*f**4. Factor o(d).
-2*d*(3*d - 2)**2
Let t(f) be the third derivative of f**7/6300 + f**6/1800 - f**4/6 + 3*f**2. Let o(l) be the second derivative of t(l). Let o(c) = 0. What is c?
-1, 0
Let -3*j**5 + 8*j**5 - j**3 - 30*j**4 + 52*j**3 - 40*j**2 + 9*j**3 = 0. Calculate j.
0, 2
Let q(g) = -11*g**3 + 11*g**2 + 6*g - 1. Let i(y) = 17*y**3 - 17*y**2 - 9*y + 1. Let u(h) = -5*i(h) - 8*q(h). Factor u(c).
3*(c - 1)**2*(c + 1)
Let r(p) be the second derivative of -p**5/4 + 5*p**4/3 + 5*p**3/6 - 10*p**2 + 16*p. Factor r(g).
-5*(g - 4)*(g - 1)*(g + 1)
Factor 9/2*h**2 + 6 - 39/2*h.
3*(h - 4)*(3*h - 1)/2
Let v be 11 + -9 - (-15)/(-12). Factor 3/2*u**3 + 0 - v*u**2 + 0*u - 3/4*u**4.
-3*u**2*(u - 1)**2/4
Let g(w) be the second derivative of w**6/90 - w**5/36 + w**4/72 - w**2/2 + 3*w. Let l(p) be the first derivative of g(p). Factor l(a).
a*(a - 1)*(4*a - 1)/3
Factor -1/4*c**2 - 3/4*c + 1.
-(c - 1)*(c + 4)/4
Let w(g) be the third derivative of g**7/1365 - g**5/130 + g**4/78 - 2*g**2. Factor w(v).
2*v*(v - 1)**2*(v + 2)/13
Suppose -3*p = -2*f - 9 - 2, 4*f + 2 = 2*p. Suppose -4*y = -49 + 13. Determine d so that -d**3 - f + 4*d - d**4 - y*d**2 + 6*d**3 + 3*d = 0.
1, 2
Let -2*s**2 - 30*s + 3*s**2 + 34*s + 3 = 0. What is s?
-3, -1
Let d(h) = -5*h**2 - 6 - 4*h - h + 6*h. Let v(g) = -6*g**2 + g - 7. Let r(w) = -7*d(w) + 6*v(w). Factor r(n).
-n*(n + 1)
Suppose -c - 2 = -4*a, 4*c - 4*a - 12 = 4. Let w(q) be the third derivative of 0*q - 3*q**2 + 0 + 1/600*q**c + 0*q**5 + 0*q**3 - 1/120*q**4. Factor w(i).
i*(i - 1)*(i + 1)/5
Suppose -5*q - 25 = -5*l, -3*q = 2 + 13. Find a, given that -8/5*a**3 + l + 2/5*a**2 + 0*a + 6/5*a**4 = 0.
0, 1/3, 1
Let n(z) be the first derivative of 1/3*z**3 + 0*z**2 + 1 - 1/20*z**5 - 1/12*z**4 + z. Let m(c) be the first derivative of n(c). Let m(x) = 0. What is x?
-2, 0, 1
Let b(c) = 3*c - 20. Let t be b(8). Let f(j) be the second derivative of 0 - 3*j + 0*j**3 + 1/60*j**t + 0*j**2 + 1/100*j**5. Factor f(g).
g**2*(g + 1)/5
Let u(r) be the third derivative of r**7/350 + r**6/50 + 3*r**5/50 + r**4/10 + r**3/10 - r**2. What is a in u(a) = 0?
-1
Let x = 4 + -17. Let y = 15 + x. Factor 1/6*f**y + 1/6 + 1/3*f.
(f + 1)**2/6
Let c(m) be the first derivative of 0*m**2 + 3 + 0*m**3 - 2*m + 1/15*m**4 + 1/50*m**5. Let t(a) be the first derivative of c(a). Factor t(j).
2*j**2*(j + 2)/5
Let t(d) = -d**2 - 5*d + 4. Let z be t(-5). Factor -5*a**4 + 2*a**2 - 9*a + 8*a - 2*a**5 + 3*a**z + 3*a**5.
a*(a - 1)**3*(a + 1)
Let b(a) be the first derivative of a**6/6 + a**5/5 - a**4/4 - a**3/3 + 9. Let b(y) = 0. What is y?
-1, 0, 1
Suppose 0*a - 10 = -5*a. Factor 2 - 1 + 1 - 2*u**3 - u**4 + a*u - 1.
-(u - 1)*(u + 1)**3
Let m(j) be the first derivative of -4*j**3/21 - 4*j**2/7 - 3. Factor m(d).
-4*d*(d + 2)/7
Let i be (-402)/(-180) + (4 - (-69)/(-18)). Factor 24/5*d - 3*d**2 + 3/5*d**3 - i.
3*(d - 2)**2*(d - 1)/5
Suppose 20/3*o**2 + 28/3*o + 4/3*o**3 + 4 = 0. What is o?
-3, -1
Let n(p) be the second derivative of 5*p**4/12 - 25*p**3/6 + 10*p**2 + 6*p. Find a, given that n(a) = 0.
1, 4
Let c(k) be the third derivative of 3/8*k**4 + 0*k + 0 + 1/20*k**5 - 8*k**2 + k**3. Let c(l) = 0. Calculate l.
-2, -1
Let a(v) be the second derivative of 1/9*v**3 - 1/18*v**4 + 0 + 2/3*v**2 + 3*v. Factor a(h).
-2*(h - 2)*(h + 1)/3
Let x(f) = 11*f - 9. Let i(d) = 4*d - 3. Let n(l) = -17*i(l) + 6*x(l). Let k be n(-3). Determine z so that z - z**2 + z**k - z = 0.
0, 1
Let y(k) be the third derivative of k**6/60 + 7*k**5/30 + 11*k**4/12 + 5*k**3/3 + 2*k**2 - 3. Factor y(m).
2*(m + 1)**2*(m + 5)
Let p = 3 - 1. Factor -p*w**2 + 0 + 5*w + 5*w**2 + 1 - w**3 - 8*w.
-(w - 1)**3
Factor 22*z**2 - 12*z**2 - 15*z**2 - 10*z.
-5*z*(z + 2)
Factor -8/7*f**2 + 4/7*f**4 + 0*f + 4/7 + 0*f**3.
4*(f - 1)**2*(f + 1)**2/7
Suppose 15*h = 9*h + 18. Factor 0*x**2 + 0 - 1/2*x**h + 1/2*x.
-x*(x - 1)*(x + 1)/2
Let u be (-3 - 36/40)/(18/(-15)). Find f such that -23/4*f**4 + 1/2*f + 0 + 7/4*f**5 - u*f**2 + 27/4*f**3 = 0.
0, 2/7, 1
Let k = -27 + 37. Let t = -8 + k. Determine w, given that -2/3 - 2/3*w + 2/3*w**3 + 2/3*w**t = 0.
-1, 1
Let n(p) be the second derivative of p**5/5 - 14*p**3/3 - 12*p**2 + 25*p. Suppose n(z) = 0. Calculate z.
-2, -1, 3
Let a(f) = -f**2 - 4*f + 5. Let h(s) = 2*s**2 + 4*s - 6. Let k(x) = 3*a(x) + 2*h(x). Let u be k(3). Factor 0 + 2/3*o**3 + u*o - 10/9*o**4 + 4/9*o**2.
-2*o**2*(o - 1)*(5*o + 2)/9
Let p(k) be the third derivative of -k**10/604800 + k**9/120960 + k**5/60 - 3*k**2. Let u(q) be the th