(b) be the first derivative of -b**8/1176 + b**7/245 - b**6/140 + b**5/210 + 5*b**2/2 + 4. Let t(m) be the second derivative of z(m). Factor t(s).
-2*s**2*(s - 1)**3/7
Suppose -2 + 2*c**2 - 5 + 1 - 120*c + 116*c = 0. Calculate c.
-1, 3
Let j be 16/(-6)*(-1 - -4). Let h be 6/(-4)*j/6. Factor u - h*u**3 - u**2 + 0*u**3 + 0*u**2.
-u*(u + 1)*(2*u - 1)
Let f be (-2)/((-3)/(-2) - 2). Let l(v) be the first derivative of 1/4*v**f + 0*v**2 + 0*v**3 + 0*v - 1 + 1/5*v**5. Factor l(a).
a**3*(a + 1)
Let b(k) be the third derivative of 2*k**7/105 + k**6/15 - 19*k**2. Factor b(g).
4*g**3*(g + 2)
Let p(l) be the second derivative of -l**4/72 - l**3/9 - l**2/3 - 17*l. Factor p(f).
-(f + 2)**2/6
Let n(i) = -6*i + 0*i + 5*i + i**2 - 4*i**3 + 3*i**3. Let m(t) = -9*t**3 + 6*t**2 - 6*t. Let k(v) = m(v) - 6*n(v). Solve k(y) = 0.
0
Let w(m) = -m - 2. Let s be w(-5). Solve -2*r - s*r**3 - 13*r**2 + 1 + 7*r**2 - r**3 - r**2 = 0 for r.
-1, 1/4
Let x be (-2)/1*(-41)/2. Let w = -36 + x. Factor -1/4*s**w - 1/4*s + 0 - s**4 - s**2 - 3/2*s**3.
-s*(s + 1)**4/4
Let t(g) be the third derivative of -g**5/180 + g**4/36 - g**3/18 + 6*g**2. Solve t(d) = 0.
1
Let k(t) be the third derivative of 0 - 1/140*t**5 + 8*t**2 + 0*t - 2/7*t**3 - 1/14*t**4. Determine f so that k(f) = 0.
-2
Let f(q) be the third derivative of -q**6/480 + q**5/240 + 6*q**2. Factor f(v).
-v**2*(v - 1)/4
Suppose 0 = m - 1, 5*m - 9 = -2*t + 6. What is s in -4/3*s**2 + 14/3*s**3 + 2*s**t + 0*s - 16/3*s**4 + 0 = 0?
0, 2/3, 1
Let f(i) = -i + 1. Let x be f(-7). Let b be (-2)/(-4)*x/6. Factor 0 + b*r**5 + 0*r + 0*r**2 + 2/3*r**3 - 4/3*r**4.
2*r**3*(r - 1)**2/3
Let c(x) = -x**4 - x**2. Let d(m) = 12*m**4 + 4*m**3 + 12*m**2. Let s(q) = 10*c(q) + d(q). Find y such that s(y) = 0.
-1, 0
Suppose -6*p + 8*p - 10 = 0. Let d be ((-15)/25)/(2/(-10)). Determine v so that -v**4 + 1/3*v**p + 0*v + v**d + 0 - 1/3*v**2 = 0.
0, 1
Let t(v) be the first derivative of -v**7/35 - 3*v**6/40 - v**5/20 - v**2 + 3. Let w(z) be the second derivative of t(z). Let w(o) = 0. Calculate o.
-1, -1/2, 0
Let t(u) be the third derivative of -u**9/20160 + u**5/30 + 5*u**2. Let n(d) be the third derivative of t(d). Factor n(r).
-3*r**3
Let y(v) be the first derivative of -16*v**3/9 + 11*v**2/3 - 2*v + 52. Factor y(n).
-2*(n - 1)*(8*n - 3)/3
Suppose -13*i - 13*i**3 + 3*i**2 + 21*i - 4 - 7*i**4 + 5*i**5 + 8*i**2 = 0. Calculate i.
-1, 2/5, 1, 2
Let f = 33 + -27. Let s(y) = y**3 - 8*y**2 - 5*y + 4. Let v(z) = -z**3 + 9*z**2 + 6*z - 4. Let r(n) = f*s(n) + 5*v(n). Let r(m) = 0. What is m?
-1, 2
Let g(z) be the second derivative of z**6/900 + z**5/150 + z**4/60 + z**3/3 + 4*z. Let b(q) be the second derivative of g(q). Suppose b(p) = 0. Calculate p.
-1
Let u(t) be the second derivative of t**6/120 - t**5/40 - t**4/16 + t**3/6 + t**2/2 - 11*t. Determine c so that u(c) = 0.
-1, 2
Let y(x) be the first derivative of -x**4/12 - 4*x**3/9 - 5*x**2/6 - 2*x/3 - 28. Factor y(v).
-(v + 1)**2*(v + 2)/3
Let g = 3/65 + 56/195. Factor -g + 0*l + 1/3*l**2.
(l - 1)*(l + 1)/3
Let p(s) be the first derivative of -s**3/12 + 3*s**2/8 - s/2 + 9. Find z such that p(z) = 0.
1, 2
Suppose -2*w + 4*z = 16, -2*z + 13 - 5 = -5*w. Let b be (-15 - w)/(12/(-8)). Find v, given that -7*v**2 - 5*v + 6*v - 2 - b*v = 0.
-1, -2/7
Let y(j) = j**2 + 5*j + 4. Let f be 34/(-8) + 8/32. Let m be y(f). Factor m - 4/5*q**4 + 0*q**3 - 2/5*q + 2/5*q**5 + 4/5*q**2.
2*q*(q - 1)**3*(q + 1)/5
Let k(n) = 75*n**4 - 138*n**3 + 75*n**2 - 15*n. Suppose 2*y + 8 - 6 = 0. Let v(x) = x**3 - x**2 + x. Let w(l) = y*k(l) - 3*v(l). Factor w(f).
-3*f*(f - 1)*(5*f - 2)**2
Let q = -1105 - -4423/4. Let q*c**3 - 3/4*c**5 + 0*c**2 + 0*c**4 + 0*c + 0 = 0. What is c?
-1, 0, 1
Let h = -13 - -38. Solve 3*z**3 + h - 4*z**3 + z**2 - 25 = 0.
0, 1
Factor 2/11*h + 2/11 - 2/11*h**3 - 2/11*h**2.
-2*(h - 1)*(h + 1)**2/11
Let c(d) be the second derivative of d**5/40 + d**4/8 + 2*d - 29. Determine k so that c(k) = 0.
-3, 0
Let d(t) be the third derivative of -t**6/200 + 11*t**2. Factor d(v).
-3*v**3/5
Solve 2/11*o**3 + 0*o + 8/11 - 6/11*o**2 = 0.
-1, 2
Let a be 52/39*(62/28 + -2). Find s such that -2/7*s**5 + 2/7*s**4 + 0 + 0*s + a*s**3 - 2/7*s**2 = 0.
-1, 0, 1
Solve -5/6*i**2 + 1 + 13/6*i = 0.
-2/5, 3
Let v(s) be the second derivative of -1/40*s**5 + 0*s**3 + 0*s**2 - 4*s + 0 + 0*s**4. Determine m, given that v(m) = 0.
0
Suppose 0 = -2*u - i - 3, 9 = -u + 3*u - 3*i. Suppose -2 = -u*m - m. What is w in 4 + 2*w**m - 2*w**3 - 4 = 0?
0, 1
Let w(o) be the first derivative of -o**6/14 + 12*o**5/35 + 3*o**4/28 - 4*o**3/7 - 24. Determine v so that w(v) = 0.
-1, 0, 1, 4
Let i(x) = -x**3 - 1. Let t(o) = -4*o**3 - o**2 + o - 2. Let y(d) = -3*i(d) + t(d). Suppose y(r) = 0. Calculate r.
-1, 1
Let i(h) be the first derivative of -h**7/105 + h**5/15 - h**3/3 - h**2/2 + 3. Let u(z) be the second derivative of i(z). Determine g, given that u(g) = 0.
-1, 1
Factor 0*s**2 + 12/11*s**3 - 64/11*s + 2/11*s**4 + 0.
2*s*(s - 2)*(s + 4)**2/11
Let d(r) = 5*r**2 + 11*r + 5. Let c(m) = m**2 + m - 1. Let x(w) = 3*c(w) - d(w). Factor x(n).
-2*(n + 2)**2
Let l(z) be the first derivative of z**7/63 - z**6/15 + z**5/15 + z**4/9 - z**3/3 + z**2/3 - z - 2. Let u(c) be the first derivative of l(c). Factor u(j).
2*(j - 1)**4*(j + 1)/3
Let u(g) = g**2 + 12*g + 5. Let w be u(-12). Suppose -3/7*d**4 - 3/7 + 3/7*d + 3/7*d**w + 6/7*d**2 - 6/7*d**3 = 0. What is d?
-1, 1
Find o, given that 0*o - 1/5 + 1/5*o**2 = 0.
-1, 1
Let y(j) = 3*j - 1. Let i be y(3). Let l(u) = -u**3 + 8*u**2 + 4. Let d be l(i). Factor -o - d*o**4 - 4*o**2 - o**5 + 0*o**5 + 2*o**3 - 8*o**3.
-o*(o + 1)**4
Let a(h) = -18*h + 3. Let q(m) = -m**2 - m + 1. Let w(j) = -a(j) + 3*q(j). Factor w(z).
-3*z*(z - 5)
What is c in 3*c**2 - 6*c - c**3 - 3*c**4 + 10*c**3 - 3*c**3 = 0?
-1, 0, 1, 2
Let r(m) be the second derivative of -m**4/42 + 2*m**3/21 - m**2/7 - 6*m. Factor r(o).
-2*(o - 1)**2/7
Let h(r) be the first derivative of 0*r**2 + 0*r - 1/5*r**5 + 1/3*r**3 + 0*r**4 + 4. Suppose h(q) = 0. Calculate q.
-1, 0, 1
Let b = -1 - 0. Let w be (-2)/(b - 0/1). Solve -5/3*y + 1/3 + 4/3*y**w = 0.
1/4, 1
Let r be 0*(0 - (-1)/(-2)). Factor 4*n**2 - n**4 - 2*n**2 + n**5 + 16*n + r - 15*n - 1 - 2*n**3.
(n - 1)**3*(n + 1)**2
Let k(f) be the first derivative of f**4/36 - f**2/6 + 6*f - 4. Let m(j) be the first derivative of k(j). Factor m(i).
(i - 1)*(i + 1)/3
Suppose 3*j + 0 = 9. Suppose -j*n = -4*n. Solve 0 + 1/2*x**3 - 1/2*x**2 + n*x = 0 for x.
0, 1
Let q(f) be the third derivative of f**6/40 - f**5/20 - f**2 + 7. Determine b, given that q(b) = 0.
0, 1
Suppose -6*w + 6 = -4*w. Factor 10*z + 79*z**w + 2*z**3 + 4 - 42*z + 45*z**2.
(z + 1)*(9*z - 2)**2
Let b(c) be the first derivative of 0*c + 2/9*c**3 + 1 + 1/6*c**2. Factor b(r).
r*(2*r + 1)/3
Let q(k) be the second derivative of -1/60*k**6 + 1/2*k**2 + 0 + 2*k - 1/3*k**3 + 1/30*k**5 + 1/12*k**4. Let g(r) be the first derivative of q(r). Factor g(x).
-2*(x - 1)**2*(x + 1)
Suppose 8/9*h**2 - 2/3*h + 0 - 2/9*h**3 = 0. What is h?
0, 1, 3
Factor 0 + 0*z + 3/8*z**2 - 3/8*z**3.
-3*z**2*(z - 1)/8
Let r(j) be the third derivative of -j**7/840 - j**6/240 + 5*j**4/24 + j**2. Let y(b) be the second derivative of r(b). Factor y(h).
-3*h*(h + 1)
Let h = -190 - -5701/30. Let n(v) be the third derivative of -1/12*v**4 + h*v**5 + 0*v**3 + 1/60*v**6 + 0*v - 1/105*v**7 + 0 - 3*v**2. Factor n(p).
-2*p*(p - 1)**2*(p + 1)
Let o(j) be the first derivative of -3*j**5/5 - 9*j**4/4 - 3*j**3 - 3*j**2/2 + 21. Factor o(n).
-3*n*(n + 1)**3
Let a = -194/3 + 65. Let j(u) be the first derivative of -9*u - a*u**3 + 5 - 3*u**2. Find f such that j(f) = 0.
-3
Let r(z) be the second derivative of -z**4/21 - 4*z**3/21 - 10*z. Factor r(n).
-4*n*(n + 2)/7
Let u(s) = 16*s**2 + 33*s + 11. Let x(o) = -7*o**2 - 17*o - 6. Let m(t) = -4*u(t) - 7*x(t). Let m(b) = 0. Calculate b.
-2/3, -1/5
Let x = 32 - 16. Let m be 3/(42/x) + 0. Suppose m + 2/7*j**2 + 8/7*j = 0. Calculate j.
-2
Let c(v) be the third derivative of -v**7/490 + 3*v**5/140 - v**4/28 - 14*v**2. What is t in c(t) = 0?
-2, 0, 1
Solve -6 + 7*p - 6 + 3*p**2 + 7*p**3 - 4*p**3 - 19*p = 0.
-2, -1, 2
Let n(u) be the first derivative of -u**7/105 + u**6/30 - 2*u**2 + 3. Let p(v) be the second derivative of n(v). Let p(c) = 0. What is c?
0, 2
Suppose 3*b + 19 = -3*k + k, -4*b -