tor z(y).
3*y*(y - 14)*(y - 1)
Let p(m) = m**3 - 2*m**2 - 36*m + 101. Let l be p(3). Factor -1/3 - 2/3*r - 1/3*r**l.
-(r + 1)**2/3
Let s(j) be the third derivative of -j**8/1344 + j**7/210 + 4*j**2 + 11. Find o such that s(o) = 0.
0, 4
Suppose 2*h = 1 + 7. Suppose -9*b = -h*b - 10. Suppose 0 + 4/5*t**b - 2/5*t - 2/5*t**3 = 0. Calculate t.
0, 1
Let c(j) be the second derivative of -11*j**4/12 - 11*j**3/6 + 2*j**2 - 8*j. Let l(n) = -45*n**2 - 45*n + 15. Let o(r) = 25*c(r) - 6*l(r). Factor o(a).
-5*(a - 1)*(a + 2)
Find v such that -7/3*v**3 + 1/3*v**4 - 1/3*v**2 + 2*v + 1/3*v**5 + 0 = 0.
-3, -1, 0, 1, 2
Suppose 0 + 0*s + 5*s**2 + 2*s**3 + 1/5*s**4 = 0. What is s?
-5, 0
Let k(w) be the third derivative of -w**7/315 - w**6/30 - 2*w**5/15 - 5*w**4/18 - w**3/3 + 191*w**2. Factor k(v).
-2*(v + 1)**3*(v + 3)/3
Let p(a) be the third derivative of a**5/160 - 121*a**4/32 + 14641*a**3/16 - 2*a**2 - 2*a. Solve p(f) = 0 for f.
121
Let u(l) = 5*l - 4. Let v be u(3). Suppose 5*c = v - 1. Suppose -13*a**c + 6*a**3 - 16*a**3 + 17*a**2 = 0. What is a?
0, 2/5
Let s(r) be the first derivative of -r**4/2 - 132*r**3 - 13068*r**2 - 574992*r - 151. Factor s(l).
-2*(l + 66)**3
Let p(i) be the first derivative of -i**8/7560 - i**7/1260 - i**6/540 - i**5/540 + 17*i**3/3 + 35. Let n(g) be the third derivative of p(g). Factor n(s).
-2*s*(s + 1)**3/9
Let h(p) be the third derivative of -1/27*p**3 + 1/135*p**5 - 1/945*p**7 + 0*p**6 + 0 + 0*p + 0*p**4 + 14*p**2. Suppose h(o) = 0. What is o?
-1, 1
Let a(j) be the second derivative of 3/40*j**5 - 2*j**2 + 1/60*j**6 - 41*j - j**3 - 1/12*j**4 + 0. Suppose a(s) = 0. Calculate s.
-2, -1, 2
Let u(o) be the third derivative of -o**9/9072 - o**8/4032 - 7*o**4/24 + 9*o**2. Let s(d) be the second derivative of u(d). Let s(c) = 0. What is c?
-1, 0
Let m(v) be the third derivative of -1/12*v**6 + 0*v**4 + 0*v - 11*v**2 + 1/105*v**7 + 2/15*v**5 + 0 + 0*v**3. Factor m(c).
2*c**2*(c - 4)*(c - 1)
Let k(a) = -100*a**5 - 210*a**4 - 365*a**3 - 85*a - 170. Let g(t) = 7*t**5 + 15*t**4 + 26*t**3 + 6*t + 12. Let h(o) = 85*g(o) + 6*k(o). Factor h(r).
-5*r**3*(r - 4)*(r + 1)
Let g(r) be the third derivative of 1/420*r**7 + 6*r**2 + 0*r - 1/120*r**5 + 1/240*r**6 + 0*r**4 - 1/672*r**8 + 0 + 0*r**3. Find i such that g(i) = 0.
-1, 0, 1
Let l(n) be the second derivative of 3*n**5/20 + 5*n**4/4 + 2*n**3 + 74*n. Solve l(t) = 0.
-4, -1, 0
Let i(t) be the second derivative of -t**4/20 + 17*t**3/10 - 21*t**2 - 285*t. Factor i(g).
-3*(g - 10)*(g - 7)/5
Let x = -159 + 163. Let n be 4*(x/8 + 0). Find d such that 3/7*d**3 + 0 - 6/7*d**n + 3/7*d = 0.
0, 1
Let q(v) = v**4 - 2*v. Let c(i) = i**4 + 3*i**3 + 5*i**2 - 7*i - 4. Let y(h) = -3*c(h) + 6*q(h). Find m, given that y(m) = 0.
-1, 1, 4
Suppose -5*x = y - 4*x - 5, -y = 4*x - 5. Factor -5*n**3 + 3*n**3 - y*n**5 + 4*n**3 + 3*n**3.
-5*n**3*(n - 1)*(n + 1)
Suppose -4*k = -12, -4*d - k - 3*k + 32 = 0. Factor -2*a**4 + 4*a**d + 4*a**3 + 15*a**3 - 31*a**3 - 6 + 8*a**2 + 8*a.
2*(a - 1)**3*(a + 1)*(2*a + 3)
Let v(p) = 2*p + 3 - 5 - 5. Let x be v(6). Let n**4 - x*n**3 + 2*n**2 + n**4 + n**3 = 0. What is n?
0, 1
Let l = 894 - 892. Let o(j) be the third derivative of 0 + 1/240*j**5 + 0*j**3 + 0*j + j**l + 1/96*j**4. Solve o(c) = 0.
-1, 0
Let a(p) be the second derivative of 12*p + 0 + 15/8*p**4 + 1/20*p**6 - 3/5*p**5 - 12*p**2 + 2*p**3. What is g in a(g) = 0?
-1, 1, 4
Let k(a) = -a**2 - a + 3. Let s be k(0). Let c be (1/2*6)/s*2. Suppose 2/5*t**c + 0*t + 0*t**3 - 2/5*t**4 + 0 = 0. What is t?
-1, 0, 1
Let a(x) = x**3 + 15*x**2 - 18*x - 18. Let p be a(-16). Factor -2*y**4 + 14 - p - 2*y**3 - 6*y + 10*y**2.
-2*y*(y - 1)**2*(y + 3)
Let n = 600 + -596. Let o(f) be the first derivative of 0*f + 0*f**2 - 1 - 5/4*f**n + 10/3*f**3 - f**5. Suppose o(x) = 0. What is x?
-2, 0, 1
Let p be (38 + 1)*(-14 + 15). Let j be (-13)/p*(-10 - -1). Suppose -15/4*g - 3/2 - 3*g**2 - 3/4*g**j = 0. Calculate g.
-2, -1
Factor 0*d + 0 - 45/4*d**3 - 33/2*d**4 - 3/2*d**2.
-3*d**2*(2*d + 1)*(11*d + 2)/4
Solve 1404*r**3 + 56*r + 110*r - 162*r**5 + 918*r**4 - 11 + 732*r**2 + 25 = 0.
-1/3, 7
Let t(c) be the second derivative of -c**4/6 - 19*c**3/3 + 66*c**2 + 551*c. Factor t(b).
-2*(b - 3)*(b + 22)
Factor 0 + 2/7*m**2 - 34/7*m.
2*m*(m - 17)/7
Let j(v) = 20*v**4 + 95*v**3 + 55*v**2 - 2100*v - 4525. Let y(i) = -i**4 - i**3 + 1. Let r(f) = j(f) + 25*y(f). Solve r(z) = 0 for z.
-3, 10
Let k(i) be the second derivative of i**5/75 - i**4/60 - i**3/5 - 19*i**2/2 - 3*i. Let z(t) be the first derivative of k(t). Determine s, given that z(s) = 0.
-1, 3/2
Let q = -1216/11 - -14431/99. Let h = q - 35. Factor h*w**2 + 2/9*w**3 - 2/9*w - 2/9.
2*(w - 1)*(w + 1)**2/9
Factor -3/4*k**2 + 3/2 - 1/2*k**3 + 11/4*k.
-(k - 2)*(k + 3)*(2*k + 1)/4
Let s(t) be the third derivative of -t**7/70 + t**6/5 - 21*t**5/20 + 11*t**4/4 - 4*t**3 + 2*t**2 - 94. Factor s(k).
-3*(k - 4)*(k - 2)*(k - 1)**2
Let m(u) be the second derivative of -u**4/102 - 134*u**3/51 - 4489*u**2/17 + 422*u. Find t, given that m(t) = 0.
-67
Let r(u) be the third derivative of u**10/151200 - u**8/2520 + u**6/45 - u**5/60 + 23*u**2. Let x(w) be the third derivative of r(w). Factor x(z).
(z - 2)**2*(z + 2)**2
Let w = 1119/119 - 155/17. Solve -2/7*n**3 + 2/7*n**5 + 0 + 0*n - w*n**2 + 2/7*n**4 = 0.
-1, 0, 1
Suppose -9*v + 4*v = 24*v. Let j(u) be the third derivative of 0*u + v*u**3 + 1/360*u**5 + 2*u**2 - 1/720*u**6 + 0 + 0*u**4. Find l such that j(l) = 0.
0, 1
Let p(y) be the second derivative of 3*y**5/5 - 8*y**4/3 - 22*y**3/3 - 85*y. Let p(v) = 0. Calculate v.
-1, 0, 11/3
Determine p, given that 21/2*p**3 + 56*p**2 + 1/2*p**5 - 55/3*p**4 - 218/3*p + 24 = 0.
-2, 2/3, 1, 36
Let a(h) be the first derivative of -125*h**6/42 + 20*h**5/7 + 60*h**4/7 + 16*h**3/3 + 8*h**2/7 + 564. Factor a(i).
-i*(i - 2)*(5*i + 2)**3/7
Let s(i) be the third derivative of i**5/15 - 5*i**4/3 - 22*i**3/3 + i**2 - 15. Solve s(h) = 0 for h.
-1, 11
Suppose -23*q + 28 + 41 = 0. Factor 0 + 2/3*g**2 + 0*g - 1/3*g**q.
-g**2*(g - 2)/3
Let -4/5*i**3 + 16 - 1/5*i**4 - 112/5*i + 48/5*i**2 = 0. What is i?
-10, 2
Suppose 0 = -13*m + 239 - 174. Let 0*c**2 + 0 + 1/5*c**4 - 3/5*c**m + 0*c + 2/5*c**3 = 0. What is c?
-2/3, 0, 1
Let l = 1/1138 + 4549/3414. Solve 2 + 2/9*b**2 + l*b = 0.
-3
Let s(r) = -4*r**4 - 16*r**3 - 24*r**2 - 16*r - 4. Let d(n) = -n**4 - 4*n**3 - 6*n**2 - 4*n - 1. Let z(i) = -18*d(i) + 4*s(i). Suppose z(j) = 0. Calculate j.
-1
Suppose 2*o + 16*o - 252 = 0. Let s = o - 27/2. Factor -3/2*r**3 - 1/2*r**5 + s*r**2 + 0 + 0*r + 3/2*r**4.
-r**2*(r - 1)**3/2
Let z = -98 - 96. Let y = z - -198. Determine q, given that 6*q**2 + 0 + 0*q + 14/3*q**y + 10*q**3 + 2/3*q**5 = 0.
-3, -1, 0
Let c(l) be the third derivative of 0 + 0*l + 1/192*l**4 - 1/120*l**5 + 0*l**3 + 1/160*l**6 + 27*l**2 + 1/2688*l**8 - 1/420*l**7. Let c(q) = 0. Calculate q.
0, 1
Let v be (-8)/(-3)*3/2. Let z be v/3*(-22 + 25). Suppose 124 + z*b**2 + 5*b - 2*b**2 - 122 = 0. Calculate b.
-2, -1/2
Let d(o) = -3*o - 15. Let m be d(-26). Suppose m*u = 65*u. Solve 0*c + u + 2/3*c**2 - 1/3*c**3 = 0 for c.
0, 2
Let j(b) = -2*b**3 - 3*b**2 + b + 1. Let n be j(-2). Factor -2*p**3 - 13*p**n + 8*p + 43*p - 10*p**2 - 16*p - 10.
-5*(p - 1)*(p + 2)*(3*p - 1)
Let x(m) be the third derivative of m**8/168 + 2*m**7/105 - 2*m**6/15 - 3*m**5/5 - 3*m**4/4 - 8*m**2. Determine n, given that x(n) = 0.
-3, -1, 0, 3
Let x be 5 + -1*(-2 - -7). Let w(b) be the third derivative of 3*b**2 + x + 1/90*b**5 + 0*b + 0*b**3 + 1/72*b**4. Factor w(d).
d*(2*d + 1)/3
Let l(i) be the first derivative of i**7/5040 - i**6/2160 - i**5/720 + i**4/144 + 37*i**3/3 + 40. Let m(o) be the third derivative of l(o). Factor m(x).
(x - 1)**2*(x + 1)/6
Let k be ((-2)/(-5))/(6 - 290/50). Let p be (-8 - -2) + 12/k. Factor p + 1/2*c**3 + 0*c**2 + 0*c.
c**3/2
Let g(w) be the first derivative of w**4/14 - 10*w**3/21 - 125*w**2/7 - 750*w/7 + 360. Factor g(j).
2*(j - 15)*(j + 5)**2/7
Let s = -39 - -42. Let n be 10/3*-1*(-36)/30. Factor 3/4*q**2 + 7/4*q**n - s*q**3 + 0 + 1/2*q.
q*(q - 1)**2*(7*q + 2)/4
Factor -1/3*u**2 + 29/3*u - 28/3.
-(u - 28)*(u - 1)/3
Let q(c) = -6*c**4 + 129*c**3 - 216*c**2 - 426*c. Let v(n) = -n**4 + 19*n**3 - 31*n**2 - 61*n. Let p(z) = -2*q(z) + 15*v(z). Factor p(x).
-3*x*(x - 7)*(x - 3)*(x + 1)
Let w(v) be the first derivative of