d derivative of -c**7/63 - c**6/45 + c**5/30 + c**4/18 + 10*c. Find j such that s(j) = 0.
-1, 0, 1
Let m(u) be the third derivative of u**9/37800 - u**8/5600 + u**7/2100 - u**6/1800 + u**4/24 - 3*u**2. Let b(k) be the second derivative of m(k). Factor b(c).
2*c*(c - 1)**3/5
Let w = -91/2 - -46. Let w - 5/4*v + v**2 - 1/4*v**3 = 0. What is v?
1, 2
Let v(g) = 2*g**2 + 7*g. Let q(u) = 2*u**2 + 6*u. Let z(m) = 7*q(m) - 6*v(m). Factor z(n).
2*n**2
Let i(a) be the third derivative of -a**6/480 + 3*a**5/80 - 9*a**4/32 - a**3/2 - 6*a**2. Let n(w) be the first derivative of i(w). Let n(m) = 0. Calculate m.
3
Suppose -3*b - 3*a + 5*a = 10, -10 = -2*a. Factor b*h + 5*h - 12 + h**2 + 3*h**2 + 3*h.
4*(h - 1)*(h + 3)
Let h be ((-1)/48)/((-45)/4). Let c(p) be the third derivative of 0*p**5 - p**2 + 0*p - h*p**6 + 1/108*p**4 + 0*p**3 + 0. Solve c(x) = 0 for x.
-1, 0, 1
Let o be 0 + 498/8 + 2. Let r = -64 + o. Factor r*h**4 + 0*h**3 + 0*h - 1/4*h**2 + 0.
h**2*(h - 1)*(h + 1)/4
Suppose 1 + 6 + 0*v + 2*v - 6*v**2 + 2*v**4 - 3 - 2*v**3 = 0. Calculate v.
-1, 1, 2
Suppose -7*g - 14 = -9*g. Suppose g*q - 5*q = 4. Factor -2*f**3 - 1/5 - f - 1/5*f**5 - 2*f**q - f**4.
-(f + 1)**5/5
Let b = -15 + 31/2. Let u(d) = d**3 - 4*d**2 + 2. Let a be u(4). Factor 1/2*i**3 - 1/2*i - 1/2*i**4 + b*i**a + 0.
-i*(i - 1)**2*(i + 1)/2
Let t(k) be the first derivative of k**7/1155 + k**6/220 + k**5/110 + k**4/132 + k**2 - 2. Let q(b) be the second derivative of t(b). Solve q(i) = 0.
-1, 0
Determine p so that -2/13*p**5 - 4/13*p**2 + 0 - 10/13*p**3 + 0*p - 8/13*p**4 = 0.
-2, -1, 0
Determine m, given that -18/7*m**3 - 3/7*m**4 - 39/7*m**2 - 12/7 - 36/7*m = 0.
-2, -1
Let g(s) be the third derivative of -s**6/90 - 7*s**5/180 + 17*s**4/36 - 4*s**3/9 + 33*s**2. Factor g(h).
-(h - 2)*(h + 4)*(4*h - 1)/3
Let -4/3*z + 2/3*z**4 - 2/3*z**2 + 0 + 4/3*z**3 = 0. Calculate z.
-2, -1, 0, 1
Let t = -1 + 3. Suppose 5*a + 9 = 3*r, t*a = -2*a - 4*r + 12. Determine c, given that 0*c - 2 - c**2 + a*c - 3*c = 0.
-2, -1
Let g(l) be the second derivative of 0 + 0*l**3 + 0*l**2 + 2*l - 1/45*l**6 + 0*l**4 + 1/30*l**5. Factor g(s).
-2*s**3*(s - 1)/3
Let r(y) be the second derivative of 0 + 1/33*y**3 + 1/22*y**4 + 2/165*y**6 - 2*y - 1/11*y**2 - 1/22*y**5. Factor r(h).
2*(h - 1)**3*(2*h + 1)/11
Let d(s) be the second derivative of -s**7/2520 + s**6/720 + s**4/12 - 2*s. Let a(l) be the third derivative of d(l). Suppose a(u) = 0. Calculate u.
0, 1
Let u(r) = r + 7. Let n = -18 - -13. Let m be u(n). Factor -z - 4*z**m + 6*z**2 - z.
2*z*(z - 1)
Let p(v) be the first derivative of v**4/8 - 5*v**3/6 + 2*v**2 - 2*v - 2. Factor p(q).
(q - 2)**2*(q - 1)/2
Let j(l) be the third derivative of 1/96*l**4 + 0 + 0*l**3 + 9*l**2 - 1/120*l**5 - 1/160*l**6 + 0*l. What is g in j(g) = 0?
-1, 0, 1/3
Suppose 0 = 4*a - 12*a. Determine o, given that 0 - 2/5*o**5 + a*o - 2/5*o**2 - 6/5*o**4 - 6/5*o**3 = 0.
-1, 0
Let d be (-1328)/(-234) + (-2)/1. Let m = 68/13 - d. Factor 0 - 4/9*a**3 - 10/9*a**4 + 0*a + m*a**5 + 0*a**2.
2*a**3*(a - 1)*(7*a + 2)/9
Find n such that -5*n**2 + 0 - 20*n - 1 + 1 = 0.
-4, 0
Let r(j) be the first derivative of j**7/315 + j**6/180 - j**5/90 - j**4/36 + 3*j**2/2 - 4. Let f(c) be the second derivative of r(c). Factor f(u).
2*u*(u - 1)*(u + 1)**2/3
Let y(h) be the second derivative of -2*h**6/15 + 7*h**5/20 - h**4/6 - h**3/6 + 3*h. Factor y(v).
-v*(v - 1)**2*(4*v + 1)
Let d = 4 - 2. Solve -3*r**2 - 3*r**2 + 0*r**2 + 5*r**d = 0 for r.
0
Let x(b) be the second derivative of b**7/28 + 3*b**6/20 + 9*b**5/40 + b**4/8 - 23*b. Determine a so that x(a) = 0.
-1, 0
Let s(o) = -21*o**3 - 21*o**2 + 18*o + 18. Let i(u) = u**3 + u**2 - u - 1. Let q(h) = 18*i(h) + s(h). Factor q(x).
-3*x**2*(x + 1)
Let j(w) be the third derivative of w**6/80 + w**5/40 - 14*w**2. Find s such that j(s) = 0.
-1, 0
Solve -9/5*v**2 + 0 + 9/5*v**4 + 6/5*v**3 - 6/5*v = 0.
-1, -2/3, 0, 1
Suppose -94 = -5*b + 11. Suppose 0 = 3*a - 27 + b. Solve -1/4*h + 1/4*h**a - 1/2 = 0 for h.
-1, 2
Suppose 2*v - 15 = -v. Suppose -2 = -0*u - 2*u - 4*d, -u + v*d + 8 = 0. Factor 5/2*h**u - 1 - 5/2*h + h**2.
(h - 1)*(h + 1)*(5*h + 2)/2
Let p = 39/4 - 33/4. What is x in -3*x**2 + 15/4*x + 3/4*x**3 - p = 0?
1, 2
Let j be (-1)/10*-8*5. Let -6/7*l**3 + 3/7 - 9/7*l**j + 6/7*l**2 + 9/7*l - 3/7*l**5 = 0. Calculate l.
-1, 1
Determine w, given that -1540/3*w**3 + 2450/9*w**4 + 88/3*w + 8/9 + 1898/9*w**2 = 0.
-2/35, 1
Factor -17*h**3 + 20*h + 2*h**2 - 6*h**4 - 8*h**2 + 8 + 3*h**4 - 2*h**4.
-(h - 1)*(h + 2)**2*(5*h + 2)
Let x(g) = -g**3 + 11*g**2 - 9*g - 10. Let b be x(10). Let f(i) be the first derivative of -i**4 - 2/5*i**5 - 1 - 2/3*i**3 + b*i + 0*i**2. Factor f(k).
-2*k**2*(k + 1)**2
Find l such that l**3 - 1/3*l**2 + 1/6*l**4 - 1/2*l + 1/6 - 1/2*l**5 = 0.
-1, 1/3, 1
Factor 4/3*f**4 - 2/3 + 4/3*f**3 - 2/3*f**2 + 1/3*f**5 - 5/3*f.
(f - 1)*(f + 1)**3*(f + 2)/3
Let h = 33/68 - -13/17. Let i(u) be the first derivative of -4/5*u**5 - h*u**4 + 0*u + 2 - 1/3*u**3 + 0*u**2. Factor i(q).
-q**2*(q + 1)*(4*q + 1)
Suppose -11 = -3*y + 2*r, -7 = -y - 0*r - r. Suppose 0*l = 4*u + 4*l - 8, 5*u - y*l + 10 = 0. Let 0*x + u + 1/2*x**3 + 0*x**2 - 1/2*x**4 = 0. What is x?
0, 1
Suppose -2*h = -h - 2. Determine p so that -h + 6 + 0 + 9*p**2 + 12*p = 0.
-2/3
Suppose -x + 176 = -3*x. Let h = x - -266/3. Factor 4/3*z**2 + 0 + 2/3*z**3 + h*z.
2*z*(z + 1)**2/3
Let n = 0 + 2. Find s such that -s**5 - 2*s**3 - 2*s + 3*s**5 + 2*s**2 + 2*s - n*s**4 = 0.
-1, 0, 1
Let n(w) be the third derivative of -w**8/112 - 3*w**7/35 - w**6/40 + 6*w**5/5 - 2*w**4 - 25*w**2. Factor n(i).
-3*i*(i - 1)**2*(i + 4)**2
Let r(z) be the third derivative of -z**6/200 + 3*z**5/50 - 11*z**4/40 + 3*z**3/5 - 6*z**2. Determine b so that r(b) = 0.
1, 2, 3
Solve 59*w - 2*w**2 - 72*w + 0*w**2 + 3*w**2 = 0.
0, 13
Let f(y) be the first derivative of y**6/75 + 2*y**5/25 + 2*y**4/15 + y - 5. Let t(n) be the first derivative of f(n). Factor t(o).
2*o**2*(o + 2)**2/5
Suppose 18 = -4*t - 2*s + s, -4*s = -5*t - 12. Let d be -2 - 0 - (0 + t). Factor -3/2*j - 1/2*j**d - 1.
-(j + 1)*(j + 2)/2
Find c, given that -2/3*c**2 - 8/3 + 10/3*c = 0.
1, 4
Suppose -4*a + 18 = 2*y, 24 + 30 = 4*y - a. Let t be -3 - y*2/(-8). Factor -3/4*k - 1/2 - t*k**2.
-(k + 1)*(k + 2)/4
Let o(d) be the third derivative of 0*d**3 + 0*d**4 + 1/60*d**6 - 1/336*d**8 + 0*d**5 + 0*d + 3*d**2 - 1/210*d**7 + 0. Factor o(u).
-u**3*(u - 1)*(u + 2)
Let w be 2/3 + 1/((-18)/12). Let v(t) be the second derivative of w + 1/100*t**5 - 1/60*t**4 + 0*t**2 + 2*t - 1/30*t**3 + 1/150*t**6. Factor v(f).
f*(f - 1)*(f + 1)**2/5
Let w be 41/(2 + (-9)/4). Let q = w + 1478/9. Find r such that -2/9 - 2/9*r + q*r**2 + 2/9*r**3 = 0.
-1, 1
Let h(c) be the second derivative of c**4/48 - 5*c**3/6 + 25*c**2/2 - 14*c. Factor h(g).
(g - 10)**2/4
Let y be (-2)/8*2*-1. Let a(p) be the second derivative of -2*p + 0*p**4 - y*p**2 + 0 + 1/4*p**3 - 1/40*p**5. Factor a(d).
-(d - 1)**2*(d + 2)/2
Find q such that 8*q**3 - 8*q**4 - 6*q**3 + 2*q**5 - 8*q + 4*q**3 + 8*q**2 = 0.
-1, 0, 1, 2
Let j(f) = -35*f**4 + 18*f**3 + 17*f**2 - 5*f. Let n(q) = -53*q**4 + 27*q**3 + 26*q**2 - 8*q. Let t(i) = 8*j(i) - 5*n(i). Find y such that t(y) = 0.
-2/5, 0, 1
Determine c so that 157*c - 8*c**4 - 49*c - 12*c**3 - 36*c**2 + 12*c**4 = 0.
-3, 0, 3
Let k(m) be the first derivative of -m**5/20 - 5*m**4/16 - 3*m**3/4 - 7*m**2/8 - m/2 - 5. Factor k(r).
-(r + 1)**3*(r + 2)/4
Let v(f) be the second derivative of -7*f**4/4 + 6*f**3 + 6*f**2 + 49*f. Factor v(s).
-3*(s - 2)*(7*s + 2)
Let m(p) be the third derivative of -p**7/60 - p**6/15 - p**5/30 - 17*p**2. Factor m(x).
-x**2*(x + 2)*(7*x + 2)/2
Suppose v = -z - 2, -2*z - 2*v + 3*v + 8 = 0. Factor -1 - 6*i**z - i + 4*i**3 - 3*i - 2*i + 5.
2*(i - 2)*(i + 1)*(2*i - 1)
Let x(u) be the second derivative of -u**5/160 + u**4/96 + u**3/12 - u**2/4 - 9*u. Factor x(p).
-(p - 2)*(p - 1)*(p + 2)/8
Let i(z) = z**2 + 6*z - 24. Let r(m) = m**2 + 12*m - 48. Let v(s) = -5*i(s) + 2*r(s). Solve v(g) = 0 for g.
-4, 2
Let w(z) be the first derivative of 1/3*z**2 - 4/15*z**5 - 1/9*z**6 + 0*z + 4/9*z**3 + 0*z**4 - 2. Factor w(t).
-2*t*(t - 1)*(t + 1)**3/3
Let m(n) = -n + 1. Let p(a) = -a**2 + 3*a - 1. Let f(d) = 4*m(d) + 4*p(d). Suppose f(v) = 0. What is v?
0, 2
Let j be 11/(-22) - (1 + -2). Factor -1/2*p**2 + j*p + 0.
-p