*p**3 = 0. What is p?
-1, -1/4, 0
Let s(h) be the second derivative of h**5/24 - h**4/36 - 5*h**3/9 + 2*h**2/3 + 5*h - 2. Find g, given that s(g) = 0.
-2, 2/5, 2
Let r(g) be the third derivative of -g**6/960 - g**5/480 + 2*g**2 - 2. Factor r(n).
-n**2*(n + 1)/8
Let c be (-30)/10*(-146)/3. Suppose -3*l + c = 134. Solve -3/7*d + 0 + 3/7*d**l - 3/7*d**2 + 3/7*d**3 = 0 for d.
-1, 0, 1
Let p(i) = -53*i**3 + 353*i**2 + 223*i - 17. Let a(o) = -18*o**3 + 118*o**2 + 74*o - 6. Let d(x) = -17*a(x) + 6*p(x). Factor d(l).
-4*l*(l - 10)*(3*l + 2)
Let i(l) = -l**2 - 2*l + 1. Let s be i(1). Let r be s*(7/(-2) + 2). Factor 1 - 6*m**2 - 4*m**3 + m**3 - r*m - 1.
-3*m*(m + 1)**2
Suppose 4*t = -16, -f + 5*t = 4*f - 45. Let 2*d + 16*d**3 - 12*d**4 - 18*d**f - 72*d**2 - 85*d**2 + 169*d**2 = 0. What is d?
-1, -1/3, 0, 1
Let x(i) = -9*i + 166. Let h be x(18). Let s(o) be the first derivative of -2/3*o**6 + 0*o + 0*o**2 + 4/5*o**5 + o**h - 4/3*o**3 - 3. Solve s(f) = 0 for f.
-1, 0, 1
Let z(m) be the first derivative of m**9/10584 - m**7/980 + m**6/630 + 20*m**3/3 + 38. Let y(w) be the third derivative of z(w). What is l in y(l) = 0?
-2, 0, 1
Let p(d) be the third derivative of 0*d**4 - 1/840*d**7 - 13*d**2 + 0*d**3 + 1/80*d**5 + 0 + 0*d - 1/240*d**6. Factor p(q).
-q**2*(q - 1)*(q + 3)/4
Find k such that -18/7*k**3 + 178/7*k + 258/7*k**2 + 30/7 = 0.
-1/3, 15
Let f(z) be the first derivative of -2*z**3/15 + 6*z**2/5 + 66. Factor f(y).
-2*y*(y - 6)/5
Let z be ((-2)/4)/(12 + 1387/(-114)). Determine s so that -5/6*s - 1/6*s**2 + 1/6*s**z - 1/2 = 0.
-1, 3
Suppose -64 = -7*h + 5*h. Suppose -w = -h + 19. Solve 4*y**2 - 4*y**3 + w - 13 = 0 for y.
0, 1
Factor -12*d**3 + 55 - 6*d**4 - 71 + d**4 + d**4 + 20*d**2 + 12*d.
-4*(d - 1)**2*(d + 1)*(d + 4)
Suppose 4*y + 5 = 21. Factor -13*v**y + 10*v**4 - 3*v - 3*v + 3*v**2 + 0*v**3 + 6*v**3.
-3*v*(v - 2)*(v - 1)*(v + 1)
Let a(m) = m**2 - 33*m + 44. Let g(h) = -h**2 + 63*h - 89. Let f(l) = 11*a(l) + 6*g(l). Determine q, given that f(q) = 0.
-5, 2
Let p(f) be the second derivative of -3*f**5/40 - f**4/8 + 3*f**3/2 + f - 3. Factor p(x).
-3*x*(x - 2)*(x + 3)/2
Let t(n) = -21*n**2 - 4*n + 7. Let a be t(3). Let m = a + 194. Factor -2/13*h**2 - 2/13*h + m.
-2*h*(h + 1)/13
Let n be -4*(1 - 18/8). Let q = -5 + n. Factor q*u - 6*u**2 + 4*u**3 + 0*u - 3*u - 7*u**3.
-3*u*(u + 1)**2
Determine q, given that -5*q**3 + 39*q + 5*q**2 + 11824 - 11904 + 41*q = 0.
-4, 1, 4
Let r(y) be the second derivative of -2/5*y**5 - 1/6*y**6 + 0*y**2 + 0 - 1/3*y**4 + 4*y + 0*y**3 - 1/42*y**7. Factor r(g).
-g**2*(g + 1)*(g + 2)**2
Let r = -5422 + 5424. Solve 0*q + 0 - 2/11*q**5 + 8/11*q**r - 6/11*q**4 + 0*q**3 = 0 for q.
-2, 0, 1
Let r = 14 - 12. Let y be ((-1)/(-12))/((-26)/16 - -2). Factor -y - 4/9*j - 2/9*j**r.
-2*(j + 1)**2/9
Let t(r) = -r**3 - r**2 - 1. Let f = 2 + -1. Let k(y) = 2*y - f - 4 - 2 + 6 + 2*y**2. Let h(b) = -k(b) + t(b). Factor h(m).
-m*(m + 1)*(m + 2)
Let c = -12781 - -12783. Factor 24/5*x + 1/5*x**4 - 6/5*x**3 + 1/5*x**c + 16/5.
(x - 4)**2*(x + 1)**2/5
Let t(w) be the first derivative of -1/16*w**4 + 3/8*w**2 + 22 + 1/2*w + 0*w**3. Factor t(j).
-(j - 2)*(j + 1)**2/4
Let 0 + 2/5*v**4 + 0*v**3 + 2/5*v**5 + 0*v + 0*v**2 = 0. Calculate v.
-1, 0
Suppose 2*p + 2 = -s + 5, 4*p + s = 7. Determine z so that 36*z**p + 13*z**2 - 3*z**3 + 0*z**3 - 225*z + 375 - 4*z**2 = 0.
5
Let t(a) = 9*a**4 + 38*a**3 - 164*a - 284. Let b(h) = 2*h**4 + 7*h**3 - h**2 + h + 1. Let q(v) = -20*b(v) + 5*t(v). Factor q(p).
5*(p - 4)*(p + 2)*(p + 6)**2
Let p = 135/7 - 398/21. Let i be (3 - 0 - 5)/(1/(-1)). Determine k, given that 0 + p*k**3 + 2/3*k**i - k = 0.
-3, 0, 1
Let z = 17088 - 17088. Factor 1/2*q**3 + z + 4*q**2 + 0*q.
q**2*(q + 8)/2
Let n(h) be the second derivative of -h**6/1200 + h**5/75 - h**4/15 - 8*h**2 - 12*h. Let l(d) be the first derivative of n(d). Factor l(f).
-f*(f - 4)**2/10
Let d(g) = g**4 - 1. Let l(h) = -5*h**5 - 51*h**4 - 175*h**3 - 125*h**2 - 4. Let z(f) = 4*d(f) - l(f). Factor z(p).
5*p**2*(p + 1)*(p + 5)**2
Let h(f) be the third derivative of -1/210*f**7 + 1/672*f**8 + 0*f**3 + 0*f + 0 + 0*f**6 - 1/48*f**4 - 11*f**2 + 1/60*f**5. Find s such that h(s) = 0.
-1, 0, 1
Let c = -101/3 + 135/4. Let u(o) be the second derivative of -c*o**4 + 1/40*o**5 + 0 + 1/12*o**3 + o + 0*o**2. Determine s so that u(s) = 0.
0, 1
Let n(z) be the first derivative of 7*z**6/30 + 3*z**5/25 - 5*z**4/4 + z**3/3 + 9*z**2/5 - 8*z/5 + 123. Solve n(t) = 0 for t.
-2, -1, 4/7, 1
Let v be (-765 - -780)*1/3. What is a in -a**4 + a**2 + 0*a**3 + 0 + 1/2*a**v - 1/2*a = 0?
-1, 0, 1
Let f(a) be the second derivative of a**5/180 - a**4/24 + a**3/9 - 11*a**2/2 - 17*a. Let d(x) be the first derivative of f(x). Factor d(m).
(m - 2)*(m - 1)/3
Let u be (-3)/1 + 2 + 3/3. Let g(s) = s**2 - 19*s - 17. Let p be g(20). Factor 12/5*a**2 + 4/5*a + 4/5*a**4 + u + 12/5*a**p.
4*a*(a + 1)**3/5
Suppose 33 = -2*d - 5. Let q = 21 + d. Find t, given that 17 - 16*t - 5 + 4 - 12*t**q = 0.
-2, 2/3
Let w(v) be the second derivative of -1/36*v**4 + 0*v**2 + 0 - 1/9*v**3 + 2*v. Factor w(z).
-z*(z + 2)/3
Suppose 39 = 2*r - 101. Find y, given that 12*y**2 - 39 - 17*y**2 - 81 - 125 - r*y = 0.
-7
Factor -34*l**4 - 25 + 12*l**4 - 5 + 85*l + 17*l**4 - 85*l**2 + 35*l**3.
-5*(l - 3)*(l - 2)*(l - 1)**2
Let n(k) be the second derivative of -k**4/3 - 44*k**3/3 - 242*k**2 - 3*k. Factor n(v).
-4*(v + 11)**2
Factor -2*m - 3 + 5/4*m**2 + 1/4*m**3.
(m - 2)*(m + 1)*(m + 6)/4
Factor 12*z**3 + 2*z**4 + 36*z**2 + 8*z - 32*z**2 + 14*z**2.
2*z*(z + 1)**2*(z + 4)
Let l be (5 + (-14)/3)/(1/9). Find i, given that l*i**2 - 4 - 21 + 8 + 5 = 0.
-2, 2
Suppose -138/5*j**4 - 356/5*j**3 - 138/5*j - 18/5*j**5 - 356/5*j**2 - 18/5 = 0. Calculate j.
-3, -1, -1/3
Solve -14*s**4 + 21*s**3 - 8*s**2 + 67*s**3 - 24*s**2 - 6*s**4 = 0.
0, 2/5, 4
Let h(p) be the third derivative of p**6/240 + 3*p**5/80 + 5*p**3/3 - 15*p**2. Let x(l) be the first derivative of h(l). Suppose x(f) = 0. Calculate f.
-3, 0
Let i(q) be the first derivative of q**6/12 - q**5 - 107*q**4/32 + 1205*q**3/24 + 79*q**2 + 40*q - 262. Let i(a) = 0. Calculate a.
-5, -1/2, 8
Let b(x) be the third derivative of -x**5/40 - x**4/16 - x**3/16 - x**2 + 56. Factor b(u).
-3*(2*u + 1)**2/8
Let z(f) be the third derivative of f**8/1344 - f**7/56 + 71*f**6/480 - 97*f**5/240 - 3*f**4/4 + 14*f**3/3 - 15*f**2 - 29. What is d in z(d) = 0?
-1, 1, 4, 7
Let g(d) be the third derivative of 0*d + 1/540*d**6 + 1/54*d**4 - 16*d**2 + 0 + 0*d**3 - 1/90*d**5. Suppose g(n) = 0. Calculate n.
0, 1, 2
Let q(n) be the second derivative of -3*n**5/80 - 19*n**4/48 + 19*n**3/12 - 2*n**2 - 4*n + 26. Let q(c) = 0. What is c?
-8, 2/3, 1
Let x(c) be the second derivative of c**5/120 + c**4/36 - 8*c**3/9 - 8*c**2 + 237*c. Factor x(g).
(g - 6)*(g + 4)**2/6
Suppose 2*o = -10*u + 7*u - 3, -3*o - 3 = 3*u. Let s be (-2*3)/((-4 - -3) + u). Factor -2/9*d + 0 - 10/9*d**2 - 8/9*d**s.
-2*d*(d + 1)*(4*d + 1)/9
Let g(h) be the first derivative of -h**7/1120 + h**6/120 + h**5/160 - h**4/8 + 12*h**3 + 39. Let i(w) be the third derivative of g(w). Factor i(p).
-3*(p - 4)*(p - 1)*(p + 1)/4
Let v be (-56)/(-16) - ((-10)/4)/(-5). Solve 24*g**4 - 3*g - 27*g**4 + 0*g**2 + 3*g**3 + v*g**2 = 0 for g.
-1, 0, 1
Factor 1 + 22/3*b + 7/3*b**2.
(b + 3)*(7*b + 1)/3
Let g(s) be the second derivative of 0*s**4 - 5*s + 3*s**2 - 1/150*s**5 + 7/600*s**6 + 0 + 0*s**3. Let k(a) be the first derivative of g(a). Factor k(p).
p**2*(7*p - 2)/5
Let n(y) = -2*y + 5. Let i(w) = -w**3 - 44*w**2 - 521*w - 892. Let j(a) = 2*i(a) + 4*n(a). Factor j(d).
-2*(d + 2)*(d + 21)**2
Let r(u) = 6*u**3 - 18*u**2 + 24*u. Let c(q) = 7*q**3 - 19*q**2 + 24*q. Let i(g) = -4*c(g) + 5*r(g). Determine o so that i(o) = 0.
0, 3, 4
Let x be 0 - (25/(-14) + (-30)/(-105)). Factor -x*q**4 + 0*q**3 + 0 + 0*q + 3/2*q**2.
-3*q**2*(q - 1)*(q + 1)/2
Factor -9216 - l**2 - 76*l - 27*l + 24*l - 113*l.
-(l + 96)**2
Let d = 21 - 19. Let t(r) be the first derivative of -81*r + 1 - 3/4*r**4 - 81/2*r**d - 9*r**3. Factor t(k).
-3*(k + 3)**3
Suppose 0 = 2*r - u - 64, -5*u = -2*r - 2*r + 122. Factor -2 + y**2 + 2 - y**3 - y**4 + r*y**5 - 32*y**5.
y**2*(y - 1)**2*(y + 1)
Let c be 1*((6 - 0) + -6). Let z(l) be the second derivative of -l + c + 1/3*l**3 - 1/24*l**4 - l**2. Find r, given that z(r) = 0.
2
Let v(d) be th