4/64 + 5*k**3/8 - 18*k**2. Factor v(y).
3*(y - 5)*(y - 1)*(9*y + 2)/8
Let m(g) be the first derivative of 2*g**3/9 - 5*g**2/3 - 4*g - 143. Factor m(l).
2*(l - 6)*(l + 1)/3
Let h be 8 - 4/(-12)*-9. Suppose -h*o - 2*f = -0*o + 8, -3*f = 12. Solve 2*s**2 - 4/3*s**3 + o - 2/3*s = 0 for s.
0, 1/2, 1
Let v(h) be the second derivative of -5*h**10/6048 + h**9/432 - h**8/672 + 5*h**4/12 + 9*h. Let l(f) be the third derivative of v(f). What is i in l(i) = 0?
0, 2/5, 1
Let l(k) be the third derivative of -k**7/525 + k**6/60 + k**5/150 - k**4/12 + 10*k**2. Factor l(g).
-2*g*(g - 5)*(g - 1)*(g + 1)/5
Suppose -3*n - 12 = -3*p, 6 = p - 5*n - 10. Let k = p + 3. Factor -16*g - 6 + 2*g**4 + k*g**4 - 12*g**2 - 4*g**4.
2*(g - 3)*(g + 1)**3
Let p(g) be the second derivative of -8*g**6/15 - 91*g**5/5 + 23*g**4/3 - g + 4. Determine q so that p(q) = 0.
-23, 0, 1/4
Let n be (-378)/(-3402)*(-144)/(-14). Factor -n - 4/7*o**2 - 12/7*o.
-4*(o + 1)*(o + 2)/7
Let a(j) be the first derivative of -j**6/6 - 2*j**5/5 + j**4/2 + 4*j**3/3 - j**2/2 - 2*j - 37. Factor a(h).
-(h - 1)**2*(h + 1)**2*(h + 2)
Let v(w) be the third derivative of -49*w**6/30 + 329*w**5/3 - 464*w**4/3 + 88*w**3 + 4*w**2 + 52*w. Solve v(x) = 0 for x.
2/7, 33
Let d(f) be the second derivative of -f**4/66 + 31*f**3/33 + 419*f. Factor d(c).
-2*c*(c - 31)/11
Suppose 2*i + 5*c + 13 = 0, -2*c + 0 - 1 = 5*i. Let k be (i/15)/(1/3). Factor 2/5*d**2 - 1/5 + 1/5*d**5 - 1/5*d**4 + k*d - 2/5*d**3.
(d - 1)**3*(d + 1)**2/5
Let k(g) be the second derivative of 0*g**2 - 1/28*g**7 - 1/4*g**6 - 1/2*g**3 + 0 - 7/8*g**4 - 27/40*g**5 - 11*g. Factor k(b).
-3*b*(b + 1)**3*(b + 2)/2
Suppose -8 = -3*m + 7. Suppose 40 = 5*j - m*u, 0 = 2*j + j + u - 8. Let a**2 - 1 - 7*a + 11*a - j*a = 0. Calculate a.
-1, 1
Suppose 13*g**3 - 57*g**4 - 2*g + 4*g**5 - 2*g**3 - g**2 - g**5 + 46*g**4 = 0. Calculate g.
-1/3, 0, 1, 2
Let n(s) be the first derivative of -2*s**5/65 + 4*s**4/13 + 46*s**3/39 - 30*s**2/13 + 861. Determine l so that n(l) = 0.
-3, 0, 1, 10
Let m(h) be the third derivative of h**5/570 + 5*h**4/57 - 7*h**3/19 - 11*h**2 - 7*h. Determine q, given that m(q) = 0.
-21, 1
Let y(j) = 22*j**3 - 56*j**2 + 68*j - 24. Let a(n) = n**3. Let v(o) = 10*a(o) - y(o). Solve v(s) = 0 for s.
2/3, 1, 3
Let g be 0 + (2 - 3 - 3). Let q(u) = 2*u + 4. Let o be q(g). Let y(k) = -11*k**2 + k. Let t(c) = 12*c**2. Let f(j) = o*y(j) - 5*t(j). Solve f(x) = 0 for x.
-1/4, 0
Let o(j) be the third derivative of -j**8/30240 + j**6/120 + 11*j**5/60 - 12*j**2. Let c(m) be the third derivative of o(m). Let c(p) = 0. What is p?
-3, 3
Suppose -11*m = -16*m + 40. Factor 8*q**2 - 4*q**4 + 7*q**2 - 19*q**2 + m*q**3.
-4*q**2*(q - 1)**2
Factor -26315 + 26315 + 12*y + 8*y**2 - 4*y**3.
-4*y*(y - 3)*(y + 1)
Let t = -75/14 + 41/7. Let c(u) be the second derivative of 1/12*u**4 + 0 - u - t*u**2 + 0*u**3. Factor c(a).
(a - 1)*(a + 1)
Let a(u) be the third derivative of u**7/350 + 7*u**6/200 + 3*u**5/25 - 2*u**2 + 138*u. Find o, given that a(o) = 0.
-4, -3, 0
Let y(w) = w**2 - w - 2. Let j be y(2). Let g be 20 - (j + (-16)/(-4)). What is x in -14*x + 26*x**3 + 2*x**4 - 13*x**4 - 4 + 2*x**4 - 15*x**4 + g*x**2 = 0?
-2/3, -1/4, 1
Suppose 2*g = 9 - 3. Let r = g - 0. Let -2 - 3*q - r*q**2 + 2 = 0. What is q?
-1, 0
Let c(w) be the first derivative of w**4/10 + 4*w**3/15 + w**2/5 + 199. What is s in c(s) = 0?
-1, 0
Let h(s) be the first derivative of -1/200*s**5 + 14/3*s**3 + 0*s**2 + 0*s + 1/600*s**6 - 8 + 0*s**4. Let j(q) be the third derivative of h(q). Factor j(x).
3*x*(x - 1)/5
Let v(k) be the third derivative of 44*k**2 + 8/3*k**3 + 0 + 3/2*k**4 + 2/5*k**5 + 1/30*k**6 + 0*k. Suppose v(s) = 0. What is s?
-4, -1
Let j(d) = -d + 22. Let h be j(24). Let l be (2 - h) + 24/(-14). Find v, given that -8/7*v**2 - 4/7*v**3 + 2/7*v**4 + 0 + l*v = 0.
-2, 0, 2
Let s be (2 - -3)*(7 - 4)/3. Let p(c) be the first derivative of 4/5*c + s - 1/10*c**4 - 7/15*c**3 - 2/5*c**2. Factor p(b).
-(b + 2)**2*(2*b - 1)/5
Let o = -232 + 236. Let c(p) be the third derivative of 0 + 1/10*p**5 - 1/2*p**3 - 1/8*p**o + 0*p - p**2. Factor c(l).
3*(l - 1)*(2*l + 1)
Let g(n) be the first derivative of -n**6/21 + 6*n**5/7 - 39*n**4/14 + 74*n**3/21 - 12*n**2/7 - 382. Factor g(a).
-2*a*(a - 12)*(a - 1)**3/7
Let s be (-4 + 4)*(-50)/(-100). Factor 0*f**2 + 2/9*f + s - 2/9*f**3.
-2*f*(f - 1)*(f + 1)/9
Let h(y) = 3*y**3 + y**2 - 1. Let w(a) = -13*a**3 - 54*a**2 + a + 54. Let f(n) = -4*h(n) - w(n). Find q, given that f(q) = 0.
-50, -1, 1
Let k be 4/6 + -1 + (-52)/(-12). Let t be 13/18*3 - (-2)/k. Suppose -2/3*g**2 - t + 8/3*g = 0. What is g?
2
Let u(a) be the first derivative of 25/21*a**6 + 30/7*a**5 - 8/7*a**2 + 11 - 8/7*a**3 + 0*a + 23/7*a**4. Solve u(b) = 0.
-2, -1, -2/5, 0, 2/5
Let k(d) be the second derivative of -d**9/12096 + d**7/3360 - d**3/6 - 13*d. Let m(z) be the second derivative of k(z). Factor m(c).
-c**3*(c - 1)*(c + 1)/4
Let z(x) be the first derivative of 4*x**3/15 - 54*x**2/5 - 112*x/5 - 139. Factor z(i).
4*(i - 28)*(i + 1)/5
Let y(q) be the first derivative of q**6/42 + 3*q**5/35 - 3*q**4/14 - 4*q**3/3 - 12*q**2/7 - 496. Factor y(n).
n*(n - 3)*(n + 2)**3/7
Let h be (-1)/(12/40) + 4. Let f(v) = -2*v + 16. Let n be f(7). Factor -4/3 + h*l + 2/3*l**n.
2*(l - 1)*(l + 2)/3
Suppose 4*h - 4*i = 28, 15 = 3*h - 7*i + 2*i. Let v be ((-12)/27)/(h/(-80)). Factor v*n + 16/3*n**3 + 2/9*n**5 - 64/9*n**2 - 16/9*n**4 + 0.
2*n*(n - 2)**4/9
Let j(s) = -s**3 + 2. Let c be j(0). Factor 2*d + 11*d**c + 14*d**2 + d - 26*d**2.
-d*(d - 3)
Factor 1031*a - 840*a + 2629*a + 48 - 14165*a**2 - 228 + 24440*a**3 - 13520*a**4.
-5*(4*a - 3)**2*(13*a - 2)**2
Let v(p) = 4*p**4 + 6*p**3 - 24*p**2 + 26*p - 12. Let o(w) = w**4 - w**3 + w - 1. Let f(y) = -6*o(y) + v(y). Factor f(s).
-2*(s - 3)*(s - 1)**3
Let q = -39 - -24. Let f be (-23)/q - -1*(-7)/35. Determine z so that -f + 10/3*z + 2*z**2 - 16/3*z**3 - 8/3*z**4 = 0.
-2, -1, 1/2
Let u(v) be the first derivative of -3*v**4/28 - 39*v**3/7 + 104. Suppose u(c) = 0. What is c?
-39, 0
Let w(v) be the first derivative of v**6/90 - v**5/15 - v**4/2 - 2*v**3/3 + 28. Let s(x) be the third derivative of w(x). Factor s(y).
4*(y - 3)*(y + 1)
Let s be (30/(-8) + 2)*-12. Let z(j) = -j**3 - 11*j**2 - 18*j + 2. Let h be z(-9). Factor -4 - 3*w**h + 21*w - s*w + 4*w**2.
(w - 2)*(w + 2)
Let y(l) = 2*l**2 - 388*l + 18816. Let u(d) = 2. Let r(m) = -u(m) - y(m). Let r(c) = 0. Calculate c.
97
Let b(p) = -7*p**2 + 14*p. Let j(z) = z**2 - 11*z + 16. Let a be j(6). Let w(f) = -20*f**2 + 42*f. Let u(g) = a*b(g) + 5*w(g). Factor u(m).
-2*m*(m - 7)
Let g(x) = -x**3 - 6*x**2 - 9*x. Let m(c) = 5*c**3 + 30*c**2 + 47*c. Let i(t) = -11*g(t) - 2*m(t). Factor i(a).
a*(a + 1)*(a + 5)
Let f(h) be the first derivative of -1/24*h**3 - 1/96*h**4 + 3 + 1/20*h**5 + 0*h**2 + 3*h - 1/48*h**6. Let s(g) be the first derivative of f(g). Factor s(y).
-y*(y - 1)**2*(5*y + 2)/8
Let d(y) be the third derivative of -y**5/150 + 3*y**4/20 + 22*y**3/15 + 47*y**2. Factor d(j).
-2*(j - 11)*(j + 2)/5
Let t(w) = -5*w**2 + 30*w - 80. Let g(z) = 5*z**2 - 28*z + 80. Let k(o) = 5*g(o) + 6*t(o). Find j, given that k(j) = 0.
4
Let p be 3 - 8 - -6 - (-57)/33. Factor -p*b**2 + 14/11*b + 0 + 4/11*b**3.
2*b*(b - 7)*(2*b - 1)/11
Let n be (60/150)/((-4)/10) - -4. Factor 0 + 4/15*a + 2/15*a**n - 2/5*a**2.
2*a*(a - 2)*(a - 1)/15
Suppose 0 = 5*o - 10*o + 10. Suppose -3*j = j - o*j. Factor 3/5*d**4 + 0*d + 0 + j*d**3 - 3/5*d**2.
3*d**2*(d - 1)*(d + 1)/5
Let v(j) be the second derivative of -j**5/5 - 14*j**4/9 - 128*j**3/27 - 64*j**2/9 - 4*j - 23. Determine a, given that v(a) = 0.
-2, -4/3
Let d be ((-45)/(-2))/((-3)/8). Let z be (2/(-4))/(15/d). Let -2*y + y**3 - z*y**2 + y - 3*y**3 + y**3 = 0. Calculate y.
-1, 0
Let l = 1915 - 1912. Factor 32/5*w + 16/5 + 1/5*w**4 + 24/5*w**2 + 8/5*w**l.
(w + 2)**4/5
Let d be ((-40)/6)/((-420)/90). Solve -8/7*v**3 - 2/7*v**5 - 8/7*v**4 + d*v + 4/7 + 4/7*v**2 = 0.
-2, -1, 1
Let n(z) be the third derivative of -4/315*z**7 - 1/30*z**5 + 2*z**2 + 4/9*z**3 - 13/180*z**6 + 4/9*z**4 + 0*z + 0. Determine j so that n(j) = 0.
-2, -1/4, 1
Let p(n) = -n**3 - 19*n**2 + 72*n + 135. Let t be p(-22). Suppose 2*a - 5*a - u = -6, -a + 2 = -5*u. Factor -3/2*g**a + 2*g**4 + 5/2*g**t - 1/2 - 5/2*g.
(g - 1)*(g + 1)**2*(4*g + 1)/2
Let h(n) = -n + 2*n**2 