b be ((0 + 0)/2)/(14 - 13). Let p(x) be the first derivative of 0*x + 0*x**5 + 2 - 3/2*x**2 + 3/2*x**4 - 1/2*x**6 + b*x**3. Factor p(o).
-3*o*(o - 1)**2*(o + 1)**2
Let u(z) be the first derivative of 16*z**6/45 - 16*z**5/15 + 5*z**4/6 + 2*z**3/9 - z**2/3 - 2*z/15 - 12. Factor u(r).
2*(r - 1)**3*(4*r + 1)**2/15
Let a(z) be the second derivative of -2*z**6/105 + 2*z**5/35 + z**4/7 - 53*z + 1. What is x in a(x) = 0?
-1, 0, 3
Factor 100 + 52*w**4 + 0*w**5 + 232*w**3 + 103*w + 4*w**5 + 237*w + 424*w**2.
4*(w + 1)**3*(w + 5)**2
Let p(w) = 10*w**3 + 18*w**2 + 12. Let s(k) = 9*k**3 + 17*k**2 + 10. Let y(m) = 5*p(m) - 6*s(m). Factor y(i).
-4*i**2*(i + 3)
Let s be (-24)/(-15) - (-14)/35. Factor -2*o**2 - 4*o**2 - o**s - 6*o**3 - o.
-o*(o + 1)*(6*o + 1)
Let g = -52/19 - -317/95. Factor -3/5*a - g*a**2 + 6/5.
-3*(a - 1)*(a + 2)/5
Let 0*x + 4*x**2 + 11/3*x**3 - 1/3*x**4 + 0 = 0. What is x?
-1, 0, 12
Let f(m) be the first derivative of 9*m**4/4 + 10*m**3/3 + 269. Solve f(z) = 0.
-10/9, 0
Let x = 61 + -58. Suppose 16 = x*s + 10. Solve -8/11*c**4 + 0*c - 2/11*c**s - 8/11*c**3 + 0 = 0 for c.
-1/2, 0
Let x(s) be the second derivative of s**4/120 + 7*s**3/60 + s**2/2 - 42*s. Factor x(r).
(r + 2)*(r + 5)/10
Let j(o) be the third derivative of -o**7/1050 - o**6/600 + o**5/300 + o**4/120 - 11*o**2 - 1. Let j(n) = 0. What is n?
-1, 0, 1
Let g(h) be the third derivative of h**7/315 + h**6/90 - 11*h**5/90 - h**4/3 + 4*h**3 + 37*h**2 + h. Solve g(n) = 0.
-3, 2
Suppose 17 - 1 = 4*g. Let f(o) be the third derivative of 0*o**g + 0 + 0*o**3 - 1/60*o**6 + 1/105*o**7 + 2*o**2 + 0*o + 0*o**5. What is t in f(t) = 0?
0, 1
Suppose -8*j + 6*j - 24 = -2*n, -2*n - 2*j = 12. Factor -2/5*b**n + 0 + 0*b + 4/5*b**2.
-2*b**2*(b - 2)/5
Let i = 2 + 1. Let j be (i/12)/(2/16). Factor 0 + 2*m**2 - j*m**3 - 2 + 12*m - 10*m.
-2*(m - 1)**2*(m + 1)
Let h(j) = -j**5 - j**3 + j**2. Let v be 3/(-2)*16 + -1. Let q(i) = 20*i**5 + 10*i**4 + 20*i**3 - 25*i**2. Let d(m) = v*h(m) - q(m). Factor d(u).
5*u**3*(u - 1)**2
Suppose 4*l = -13*l - 11*l + 5*l. Factor l + 0*w + 5/6*w**2.
5*w**2/6
Let x(a) be the first derivative of 2*a**6/15 - 2*a**5/5 - a**4/3 + 4*a**3/3 + 13*a - 1. Let q(t) be the first derivative of x(t). Factor q(o).
4*o*(o - 2)*(o - 1)*(o + 1)
Suppose -279*p = -277*p - 4. Let b(t) be the first derivative of -4/3*t**3 - 12*t - 4 - 8*t**p. Let b(h) = 0. Calculate h.
-3, -1
Determine c so that -2/3*c**2 - 6*c + 0 = 0.
-9, 0
Let m(x) = -3*x**2 + 2*x. Let v(y) = 25*y**2 - 52*y. Let q(k) = 18*m(k) + 2*v(k). Solve q(h) = 0 for h.
-17, 0
Let m(l) = 72*l**2 + 90*l + 16. Let u(t) = -2*t**2 + t + 4. Let p(j) = m(j) + 2*u(j). Factor p(r).
4*(r + 1)*(17*r + 6)
Let l(x) be the second derivative of x**4/12 + 7*x**3/6 - 4*x**2 - 60*x. Determine o, given that l(o) = 0.
-8, 1
Determine q so that -2/11 + 2/11*q**2 + 0*q = 0.
-1, 1
Let -2/5*d**3 + 32/5*d - 8/3*d**2 + 128/15 + 2/15*d**4 = 0. What is d?
-4, -1, 4
Determine i, given that -100*i**5 - 56*i - 67*i + 90*i**3 + 65*i**2 + 133*i - 84*i**4 + 19*i**4 = 0.
-1, -2/5, -1/4, 0, 1
Factor -18*h**2 + 275*h - 2500/3 + 1/3*h**3.
(h - 25)**2*(h - 4)/3
Suppose -2*v = 5*w - 0*w - 79, v = -2*w + 38. Determine y so that -13*y**2 + 7*y**3 - 15*y**3 - 4*y**2 - v*y - 7*y**2 - 16 - y**4 = 0.
-2
Suppose -61*c = -41*c. Factor -3/7*m**2 + c + 3/7*m.
-3*m*(m - 1)/7
Let n(i) = 30*i - 34 - 13*i**2 + 6*i**2 - 11*i + 6*i**2. Let d be n(17). Let -1/2*o**3 + d + 1/2*o - 1/2*o**4 + 1/2*o**2 = 0. Calculate o.
-1, 0, 1
Let p(f) be the third derivative of f**6/60 + f**5/20 - 3*f**4 + 35*f**3/6 + 508*f**2. Find n, given that p(n) = 0.
-7, 1/2, 5
Let a(b) be the second derivative of -4/3*b**4 + 0 - 154/15*b**6 + 14/3*b**7 + 32/5*b**5 - b + 0*b**3 + 0*b**2. Determine l, given that a(l) = 0.
0, 2/7, 1
Suppose 0 = 3*r + 9, -175*c - 5*r - 7 = -171*c. Factor -4/19*z**c - 6/19*z + 4/19*z**3 - 2/19 + 2/19*z**5 + 6/19*z**4.
2*(z - 1)*(z + 1)**4/19
Let b(d) = -d**3 + 15*d**2 + 14*d + 35. Let m be b(16). Suppose 3*g = 2*g + m*g. Factor -8/3*h**3 + 0*h + g - 2/3*h**2.
-2*h**2*(4*h + 1)/3
Suppose -1/3*s**2 - 11/3*s + 14 = 0. What is s?
-14, 3
Suppose 5*j - 73 - 12 = 0. Suppose -z - 3*u = -4*u - 8, 0 = 4*z + u - j. Factor -3/5*f**4 - 3/5*f**z + 0*f + 6/5*f**3 + 0 + 0*f**2.
-3*f**3*(f - 1)*(f + 2)/5
Let y(m) be the third derivative of m**5/12 - 15*m**3/2 + 122*m**2. Factor y(z).
5*(z - 3)*(z + 3)
Suppose -2*s + 2*f = -10, 2*f = -2*s - 2 + 4. Factor 2/3*n**s + 4/3 + 10/3*n + 8/3*n**2.
2*(n + 1)**2*(n + 2)/3
Factor -495*p**2 + 395*p**3 - 476*p**3 - 25*p**4 - 5*p**5 + 366*p**3.
-5*p**2*(p - 3)**2*(p + 11)
Let d(k) be the second derivative of k**4/60 - k**3/3 + 202*k. Let d(p) = 0. What is p?
0, 10
Let b(d) = -3*d**2 - 97*d - 576. Let s(t) = -t**2 + t. Let l(g) = -b(g) - s(g). Factor l(k).
4*(k + 12)**2
Let j = -3771 - -3773. Determine p so that -1/10*p - 1/10*p**j + 0 = 0.
-1, 0
Let l(a) be the second derivative of -1/24*a**2 - 1/36*a**3 - 1/144*a**4 - 10*a + 0. Factor l(q).
-(q + 1)**2/12
Let w(s) be the second derivative of s**5/20 + 23*s**4/12 - 13*s**3/3 - 24*s**2 + 17*s - 2. Find v, given that w(v) = 0.
-24, -1, 2
Let l(u) be the second derivative of 0*u**2 - u + 1/72*u**4 - 1/120*u**5 + 0 - 1/180*u**6 + 1/36*u**3. Factor l(d).
-d*(d - 1)*(d + 1)**2/6
Let f(h) be the second derivative of 2*h**7/63 + h**6/9 - h**5/5 - 4*h**4/9 + 4*h**3/9 + h**2 - 21*h. Suppose f(n) = 0. Calculate n.
-3, -1, -1/2, 1
Let v(c) be the first derivative of -2/27*c**3 + 1/9*c**6 + 0*c - 1/6*c**4 + 0*c**2 - 31 + 2/45*c**5. Determine i, given that v(i) = 0.
-1, -1/3, 0, 1
Let y = -21 + 25. Let p be (y/(-22))/(8/(-88)). Solve 0 - 1/2*r**p + r - 1/2*r**3 = 0.
-2, 0, 1
Let z = 13468 - 53871/4. Factor z*q**3 + q**4 - 1/2 - 3*q**2 - 11/4*q.
(q - 2)*(q + 1)**2*(4*q + 1)/4
Let w(q) be the first derivative of q**6/45 - q**5/60 - q**4/4 - q**3 - q**2 - 30. Let h(g) be the third derivative of w(g). Factor h(s).
2*(s - 1)*(4*s + 3)
Let p be 6 + (1 + -4)/1. Suppose 5*n = -5*m, 0 + 2 = -p*m - 4*n. Find r, given that 3*r**3 + 13*r + m - 16*r - 2*r**3 = 0.
-2, 1
Factor 3 - 1/4*x**3 - x - 7/4*x**2.
-(x - 1)*(x + 2)*(x + 6)/4
Let f(u) be the third derivative of u**7/42 + u**6/6 + u**5/4 - 126*u**2. Factor f(t).
5*t**2*(t + 1)*(t + 3)
Let l = 970/17 + -6722/119. Factor -12/7*m**3 - l*m**2 + 32/7*m - 16/7.
-4*(m - 1)*(m + 2)*(3*m - 2)/7
Let z be (-92)/3*300/(-40). Solve z*u**2 - u**3 - 7*u**5 - 230*u**2 + 3*u**5 - 5*u**4 = 0 for u.
-1, -1/4, 0
Suppose 2*m + 4*j - 18 = m, 5*j = -3*m + 89. Let t = 96 + -58. Factor -m*q**2 + t*q**2 + q**3.
q**3
Let r(a) = -2*a**5 - 31*a**4 - 251*a**3 - 189*a**2 + 11*a. Let w(g) = g**5 + 15*g**4 + 126*g**3 + 94*g**2 - 6*g. Let v(o) = -6*r(o) - 11*w(o). Factor v(l).
l**2*(l + 1)*(l + 10)**2
Let w(l) = -3*l**2 - 51*l - 36. Let u(m) = -m + 2. Let p(z) = -18*u(z) + w(z). Factor p(k).
-3*(k + 3)*(k + 8)
Suppose 0 + 18/7*k**3 - 3/7*k**5 + 0*k - 24/7*k**2 + 9/7*k**4 = 0. Calculate k.
-2, 0, 1, 4
Let n(w) = -8*w + 13. Let t(v) = -3*v + 6. Let f(l) = 3*n(l) - 7*t(l). Let g be f(-2). Let 5/4*h**5 - 8*h**4 - 9/2*h**2 + 0 + 57/4*h**g + 0*h = 0. Calculate h.
0, 2/5, 3
Let s = -5454 - -16363/3. Find d, given that 0 - 2/3*d**3 - 7/6*d**2 + s*d = 0.
-2, 0, 1/4
Let x(z) = z**3 - 10*z**2 + 9*z + 2. Let g be x(9). Factor -11*m**2 - 5*m**4 - 3*m**4 - 3 - 7*m**g - 12*m - 12*m**3 + 5*m**4.
-3*(m + 1)**4
Let c(q) = -6*q**2 - 4*q + 28. Let l be c(-5). Let k be (-4)/(-34) + (-22)/l. Factor 1/2*g + 1/6*g**2 + k.
(g + 1)*(g + 2)/6
Let f(b) = 2*b**2 + 2*b - 2. Let q be f(-2). Let o be (10 + (1 - 3))/(15 - 13). Find t, given that -q - 2 - 14*t**o - 57*t**2 + 46*t**3 + 3*t**2 + 26*t = 0.
2/7, 1
Let u(c) be the third derivative of -c**6/780 - 4*c**5/195 - 3*c**4/52 + 6*c**3/13 - 55*c**2 - c. Factor u(g).
-2*(g - 1)*(g + 3)*(g + 6)/13
Let f(c) be the third derivative of c**8/240 + c**7/168 - 2*c**6/45 + c**5/30 - c**3 + 3*c**2. Let j(h) be the first derivative of f(h). Factor j(k).
k*(k - 1)*(k + 2)*(7*k - 2)
Let q(g) be the second derivative of -g**5/12 + 5*g**4/12 - 5*g**3/6 - 5*g**2 - 9*g. Let a(l) be the first derivative of q(l). Find m such that a(m) = 0.
1
Suppose -15*p + 12*p + 4*x = 11, -4*p + 2 = -2*x. What is f in -16/3 + 52/3*f**p + 3*f**4 + 32*f**2 + 16*f = 0?
-2, 2/9
Factor 16*q**2 - 36/5*q**3 + 0 - 48/5*q + 4/5*q**4.
4*q*(q - 6)*(