d derivative of h(n). Factor b(f).
2*(f - 1)**2/17
Let r(z) = -9*z**4 - 9*z**3 + 9*z**2 + 9*z. Let v(o) = -o**4 - o**3 + o**2 + o. Let i(b) = r(b) - 5*v(b). Factor i(f).
-4*f*(f - 1)*(f + 1)**2
Suppose -o + 3*m + 0*m = 36, -137 = 4*o - 5*m. Let z(f) = 7*f**2 - 3*f - 6. Let q(v) = 57*v**2 - 24*v - 48. Let l(t) = o*z(t) + 4*q(t). Factor l(x).
-3*(x - 2)*(x + 1)
Determine s so that -16/7*s**2 - 8/7*s - 10/7*s**3 - 2/7*s**4 + 0 = 0.
-2, -1, 0
Find r, given that 0*r**2 + 3*r**3 - 3/2*r**4 + 0*r + 0 = 0.
0, 2
Let f(h) be the third derivative of -h**5/390 + h**4/52 - 2*h**3/39 - 4*h**2. Let f(y) = 0. Calculate y.
1, 2
Let i be (-31)/(-12) - (3 - 1). Let s(u) be the second derivative of i*u**4 + u + 2/3*u**2 - 4/3*u**3 + 49/60*u**5 + 0. Factor s(m).
(m + 1)*(7*m - 2)**2/3
Suppose 2 = 2*s - 2. Suppose -s*h + 4 + 2 = 0. Factor 2*p**4 - 1 + p**4 + p**2 + 1 - p**5 - h*p**3.
-p**2*(p - 1)**3
Let i(o) be the third derivative of 1/8*o**4 - 8*o**2 - 1/60*o**5 - 1/3*o**3 + 0 + 0*o. Suppose i(w) = 0. Calculate w.
1, 2
Let l(v) = -v**2 - 5*v + 10. Let z be l(-7). Let f be 6*2/z*-1. Factor 9*s**4 + 4*s + 22*s**2 + 5*s**4 + 25*s**f + 7*s**3.
2*s*(s + 1)**2*(7*s + 2)
Let a(b) be the first derivative of -b**6/9 + 14*b**5/15 - 5*b**4/2 + 2*b**3 - 6. Factor a(l).
-2*l**2*(l - 3)**2*(l - 1)/3
Factor -12*c**3 - 4*c**3 - 8*c + 2*c**2 + 18*c**2 + 4*c**4.
4*c*(c - 2)*(c - 1)**2
Suppose -12 = s - 4*s. Solve 2*n**2 + n**2 - s*n**2 = 0.
0
Factor 4*p**3 + 0 - 16/3*p + 4/3*p**4 + 0*p**2.
4*p*(p - 1)*(p + 2)**2/3
Let n(s) be the second derivative of s**7/6300 - s**5/300 + s**4/4 + s. Let q(k) be the third derivative of n(k). Factor q(v).
2*(v - 1)*(v + 1)/5
Let i(h) be the second derivative of -27*h**5/20 - 33*h**4/4 - 19*h**3/2 - 9*h**2/2 - 20*h. Find m, given that i(m) = 0.
-3, -1/3
Let f be -3 + (-4)/(4/(-5)). Let v be -1*f/(-1) + 2. Find u, given that -2/3*u**3 - 2/9*u - 2*u**v + 0 + 10/9*u**2 = 0.
-1, 0, 1/3
Factor 2/7*v + 2/7*v**2 + 0.
2*v*(v + 1)/7
Let s(f) be the third derivative of 0*f - 1/24*f**5 + 0*f**3 - 1/84*f**8 + 1/40*f**6 + 1/48*f**4 + 1/105*f**7 + 0 - 5*f**2. Solve s(l) = 0.
-1, 0, 1/2
Suppose 5*k - 3*y = 4, k - y - 4*y + 8 = 0. Factor -k*g**2 + 5*g + 2 - 5*g.
-2*(g - 1)*(g + 1)
Let x = 20 + -15. Suppose -28 = -x*v - 8. Find a such that 1/4*a + 0*a**v + 1/4*a**5 - 1/2*a**3 + 0 + 0*a**2 = 0.
-1, 0, 1
Let r(f) be the second derivative of 4*f**7/441 + f**6/15 + 37*f**5/210 + 4*f**4/21 + 4*f**3/63 - 9*f. Find t, given that r(t) = 0.
-2, -1, -1/4, 0
Determine x so that 2*x**2 + 0*x - 18*x**3 + 2*x + 0*x + 2*x - 10*x**5 - 26*x**4 = 0.
-1, 0, 2/5
Let q(d) = 29*d**4 + 223*d**3 + 1800*d**2 + 6000*d + 7483. Let g(w) = -10*w**4 - 74*w**3 - 600*w**2 - 2000*w - 2494. Let y(z) = -17*g(z) - 6*q(z). Factor y(u).
-4*(u + 5)**4
Let b = -1034 + 4137/4. Factor 0*n - 3/4*n**2 + 0 + b*n**3.
n**2*(n - 3)/4
Determine j, given that -2/5*j - 2/5*j**2 + 24/5 = 0.
-4, 3
Let u = -103 - -1031/10. Let g(h) be the first derivative of 2/25*h**5 - 2 + u*h**4 - 1/15*h**6 + 0*h - 2/15*h**3 + 0*h**2. Let g(c) = 0. Calculate c.
-1, 0, 1
Factor -21/2*g + 0*g**2 + 3/2*g**3 - 9.
3*(g - 3)*(g + 1)*(g + 2)/2
Let o(t) be the first derivative of 5*t**6/6 - 14*t**5/3 + 55*t**4/6 - 20*t**3/3 - 5*t**2/6 + 10*t/3 - 71. Suppose o(s) = 0. Calculate s.
-1/3, 1, 2
Let l(z) be the third derivative of z**5/120 - z**4/24 + z**3/12 + 52*z**2. Solve l(x) = 0 for x.
1
Suppose -2*v = 4 + 4. Let w be 2 + ((-172)/3)/v. Factor -w*y**2 + 0*y + 4/3.
-(7*y - 2)*(7*y + 2)/3
Suppose 0 = 2*t + 2*q - 40, -2*t - 12 = 4*q - 56. Determine i, given that t*i**3 + 129/5*i**2 + 12/5 + 72/5*i + 21/5*i**4 = 0.
-2, -1, -2/7
Let s(t) be the second derivative of 5*t**4/12 - 5*t**3/3 + 5*t**2/2 + 17*t. Suppose s(q) = 0. What is q?
1
Find x such that -18/11*x**3 + 0 - 54/11*x**2 - 54/11*x - 2/11*x**4 = 0.
-3, 0
Let h be 6 + (117/(-12) - -4). Solve -h*v**2 - 1/4 + 1/2*v = 0 for v.
1
Factor 4*g**2 + 7*g**2 - 3 + 6*g**2 - 14*g**2.
3*(g - 1)*(g + 1)
Let 5/4*o**3 + 5/2*o + 0 - 15/4*o**2 = 0. What is o?
0, 1, 2
Let f(c) be the third derivative of -5*c**8/336 + 2*c**7/21 - c**6/4 + c**5/3 - 5*c**4/24 + 11*c**2. Solve f(q) = 0.
0, 1
Let t be (0 - 1/(-10))*(-140)/(-42). Let -1/2*j**2 - 5/6*j - t = 0. What is j?
-1, -2/3
Let q(h) be the second derivative of -h**9/5040 + h**8/1120 - h**7/840 + h**4/4 - 4*h. Let d(g) be the third derivative of q(g). Find v such that d(v) = 0.
0, 1
Suppose 2*o = 199 + 1. Factor 100 - 2*a**2 + 2*a - o.
-2*a*(a - 1)
Let -t**5 + 1/3 - 14/3*t**3 + 1/3*t - 11/3*t**4 - 2*t**2 = 0. What is t?
-1, 1/3
Let g(q) be the third derivative of -q**5/20 - 5*q**4/8 - 3*q**3 - 21*q**2. Factor g(f).
-3*(f + 2)*(f + 3)
Let u be 4/(-8)*6/(-15). Suppose u*c**3 + 0 + 0*c**2 - 1/5*c = 0. What is c?
-1, 0, 1
Let m = -10534/5 - -179398/85. Let z = m + -14/85. Factor 3/5 + 12/5*n + 12/5*n**3 + z*n**2 + 3/5*n**4.
3*(n + 1)**4/5
Suppose -3 - 15 = -6*m. Factor 12*a**2 - 2 - a**3 + 0 - m*a**3 - 14.
-4*(a - 2)**2*(a + 1)
Solve 0*l - l**3 + 0 - 3/2*l**4 + 5/2*l**5 + 0*l**2 = 0.
-2/5, 0, 1
Let l = -10 + 10. Let i(k) be the third derivative of 0*k + 0 - 1/180*k**6 + l*k**4 + 0*k**3 + 1/630*k**7 + 2*k**2 + 1/180*k**5. Find a such that i(a) = 0.
0, 1
Let w = -229 + 1147/5. Factor -4/5*n + w*n**2 + 0.
2*n*(n - 2)/5
Let h(z) be the first derivative of -z**5/60 - z**4/9 - 5*z**3/18 - z**2/3 - 2*z - 1. Let f(g) be the first derivative of h(g). Factor f(j).
-(j + 1)**2*(j + 2)/3
Let f be 42/(-6)*4/(-14). Let s be f/(-18)*(-20)/5. Let s*t**2 + 0 + 2/9*t**5 + 0*t**3 - 4/9*t**4 - 2/9*t = 0. Calculate t.
-1, 0, 1
Let y be 18/69 - (0 - 0). Let i = 5/69 + y. Factor 1/3 - 1/3*v**2 - i*v**3 + 1/3*v.
-(v - 1)*(v + 1)**2/3
Suppose -2*c - 3*t = -16, 4*t = c + 4 + 10. Determine l, given that -4 + 13*l - 19*l + 0 + 4*l**c = 0.
-1/2, 2
Let i(x) = -12*x**2 + 13*x + 43. Let y(l) = -6*l**2 + 6*l + 21. Let t(q) = -3*i(q) + 7*y(q). Determine h, given that t(h) = 0.
-3/2, 2
Let c(b) be the third derivative of b**7/70 + b**6/20 - b**5/20 - b**4/4 - b**2. Solve c(z) = 0.
-2, -1, 0, 1
Let c be 3/(-2) + 7/((-7)/(-2)). Factor 1/4*v**5 + c*v**2 + 0*v**3 - 1/2*v**4 - 1/4*v + 0.
v*(v - 1)**3*(v + 1)/4
Let n(z) be the first derivative of -8/45*z**5 + 0*z**2 - 4/27*z**3 + 1 + 5/18*z**4 + 0*z + 1/27*z**6. Factor n(s).
2*s**2*(s - 2)*(s - 1)**2/9
Suppose -5*v - 16 = 4. Let k = 6 + v. Suppose 3*g**2 - g**4 - 2*g**4 - 2*g**5 - g - k*g**5 + 5*g**3 = 0. Calculate g.
-1, 0, 1/4, 1
Let a(s) = 7*s**4 - 1 - 2*s**5 - 2*s**3 - 3*s**2 - 4*s**5 - 2 + s**5. Let l(h) = h**5 - h**4 + h**2 + 1. Let z(q) = -a(q) - 3*l(q). Factor z(d).
2*d**3*(d - 1)**2
Suppose 0 + 6/7*a + 27/7*a**2 - 30/7*a**5 - 27/7*a**4 + 24/7*a**3 = 0. What is a?
-1, -1/2, -2/5, 0, 1
Let v(j) = -j**3 + 9*j**2 - j + 9. Let t be v(9). Let s(n) be the second derivative of -2/9*n**3 + 0 + 7/30*n**5 + t*n**2 - 5/18*n**4 + n. Factor s(w).
2*w*(w - 1)*(7*w + 2)/3
Let x(t) be the first derivative of 2/5*t + 3/10*t**2 + 1/15*t**3 + 3. Let x(n) = 0. What is n?
-2, -1
Let h be ((-6)/(-9))/(2/6). Factor -2*y**2 + 0*y**2 + 3*y**2 - 4*y + h*y.
y*(y - 2)
Let t = -315 + 947/3. Factor -t*w + 2/9 - 2/9*w**3 + 2/3*w**2.
-2*(w - 1)**3/9
Let w(l) = l**4 - l**3 - l**2 + l. Let a(c) = -c**5 - 2*c**4 + 2*c**3 + 6*c**2 - 5*c. Let z(o) = a(o) + 5*w(o). Find v, given that z(v) = 0.
0, 1
Suppose s - 3*s = 0. Suppose s = -4*x + 6 + 6. Factor -56*p + 196*p**2 + 16/3 - 686/3*p**x.
-2*(7*p - 2)**3/3
Let w = 53/153 - 2/153. Suppose 11/6*t + w + 10/3*t**2 + 2*t**3 = 0. Calculate t.
-2/3, -1/2
Let n(j) be the second derivative of 2*j**7/63 - j**6/45 - j**5/15 + j**4/18 + 8*j. Determine d, given that n(d) = 0.
-1, 0, 1/2, 1
Let x(h) be the second derivative of -h**7/84 + h**6/60 + h**5/20 - h**4/12 - h**3/12 + h**2/4 - 2*h. Find t such that x(t) = 0.
-1, 1
Let z(p) be the third derivative of -p**6/720 + p**5/72 - p**4/36 - 24*p**2. Solve z(v) = 0.
0, 1, 4
Let t(c) = c**3 - 4*c**2 - 6*c + 7. Let q be t(5). Solve 9*s - q*s**2 - s - 2*s - 10*s = 0 for s.
-2, 0
Let h(o) be the third derivative of -o**8/168 + o**6/30 - o**4/12 + o**2. Factor h(d).
-2*d*(d - 1)**2*(d + 1)**2
Let r(d) be the third derivative of d**5/140 + d**4/28 + 20*d**2. Find o such that r(o) = 0.
-2, 0
Suppose -h - 31 = -5*y, 2*h + 3 = y - 5. Let q be (-1 + 2)/(y/2). Factor -q*u**2 - 2/3*u - 1/3.
-(u + 1)**2/