ivative of 0*c + 0*c**g + 0*c**3 + 1/60*c**5 + 0 - c**2. Factor u(y).
y**2
Let p be -497*1*4/10. Let w = -194 - p. Factor -3/5*x**3 + 3*x**2 + 12/5 - w*x.
-3*(x - 2)**2*(x - 1)/5
Let p(m) be the second derivative of m**7/7 - 2*m**6/15 - 3*m**5/5 + 2*m**4/3 + m**3 - 2*m**2 + 5*m. Let p(s) = 0. Calculate s.
-1, 2/3, 1
Suppose 4*o + 3 = 5*o. Factor -6*l**2 - 2 + o + 5*l**2.
-(l - 1)*(l + 1)
Let a(v) = 14*v**2 + 14*v - 17. Let d(g) = -5*g**2 - 5*g + 6. Let n(k) = 6*a(k) + 17*d(k). Factor n(p).
-p*(p + 1)
Let x(o) be the first derivative of 2*o**3 + 6 - 4*o - 1/2*o**4 - 2/5*o**5 + o**2. Suppose x(f) = 0. Calculate f.
-2, -1, 1
Factor 3*j**3 + 9 - 4*j - 5*j - 6*j**2 - 3 + 6*j.
3*(j - 2)*(j - 1)*(j + 1)
Let q be 4/(-11)*((-165)/6)/5. Suppose 9/2 + 1/2*r**q - 3*r = 0. What is r?
3
Let r(t) be the third derivative of t**4/8 - t**3/3 - t**2. Let i be r(2). Factor -3*c**4 - 3*c**2 + 2*c**2 - i*c**3 - c**5 + c**3.
-c**2*(c + 1)**3
Let s(f) = 7*f**2 + 9*f + 30. Let l(z) = 20*z**2 + 28*z + 88. Let k(q) = -5*l(q) + 14*s(q). Let k(d) = 0. What is d?
-5, -2
Suppose 2*o - 29 - 35 = -4*l, 4*l - 2*o = 64. Let a = 2 - -6. Factor -4*r - a*r**3 + 2*r**2 + 8*r**4 + 0*r - l*r**2.
2*r*(r - 2)*(2*r + 1)**2
Factor -1 - 3*r + 9*r + 4*r**2 + 2 + 1.
2*(r + 1)*(2*r + 1)
Let g(p) be the third derivative of 0*p - 1/48*p**4 - 1/420*p**7 + 0 - 6*p**2 + 1/240*p**6 + 0*p**3 + 1/120*p**5. Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let s(k) be the first derivative of -k**4/6 + k**2/3 + 16. Determine p so that s(p) = 0.
-1, 0, 1
Let j be -1 + (3/(-6) + 0)*-6. Factor 1/4*x**j + 0 - 1/4*x.
x*(x - 1)/4
Let m(q) be the second derivative of 3*q**5/80 - 3*q**4/16 - q**3/2 + 20*q. Determine w so that m(w) = 0.
-1, 0, 4
Let h(r) = r**3 + r**2 + 5*r - 7. Let b(p) = -3*p**3 + 0*p**3 - 7*p + p**3 + p + 8. Let g(v) = -3*b(v) - 4*h(v). Determine n so that g(n) = 0.
-1, 1, 2
Let d(q) be the third derivative of -q**5/600 + q**4/80 - q**3/30 - 7*q**2. Let d(n) = 0. Calculate n.
1, 2
Factor -1/8*y**2 + 3/8*y + 1/2.
-(y - 4)*(y + 1)/8
Let i(r) = r + 1. Let t(w) = 3*w**2 - 18*w - 12. Let c(p) = -12*i(p) - t(p). What is b in c(b) = 0?
0, 2
Suppose 2*k = -17 + 21. Let c be 3/5*10/4. Factor 1 + c*z + 1/2*z**k.
(z + 1)*(z + 2)/2
Let f(c) = -19*c**3 + 11*c**2 + 19*c. Let b(d) = -10*d**3 + 6*d**2 + 10*d. Let v(z) = 11*b(z) - 6*f(z). Factor v(a).
4*a*(a - 1)*(a + 1)
Let w(l) be the second derivative of 0 + 1/60*l**5 - 1/45*l**6 - 1/18*l**3 + 1/18*l**4 + 0*l**2 + 3*l. Factor w(g).
-g*(g - 1)*(g + 1)*(2*g - 1)/3
Suppose 9 = -2*f + 13. Let t(g) be the first derivative of -4 + 0*g - 3/4*g**4 + g**3 + 0*g**f. Factor t(m).
-3*m**2*(m - 1)
Let w be (5 - 45/10)*(-4)/(-3). Factor -1/3*u**4 - u**3 + w + u - 1/3*u**2.
-(u - 1)*(u + 1)**2*(u + 2)/3
Let t be (181/(-60) + 3)*-2. Let h(q) be the second derivative of t*q**4 + q + 0*q**3 + 1/50*q**5 + 0*q**2 + 0. Factor h(y).
2*y**2*(y + 1)/5
Suppose 12*s - 8*s - 16 = 0. Let z(q) be the first derivative of -5*q**2 - 1/2*q**4 + 1 + 8/3*q**3 + s*q. Find d, given that z(d) = 0.
1, 2
Let l(b) be the third derivative of 0 - 1/90*b**5 + 0*b**3 + b**2 + 0*b - 1/36*b**4. Let l(w) = 0. Calculate w.
-1, 0
Let k(i) = 3*i**4 - 11*i**3 - 49*i**2 - 48*i - 18. Let t(a) = -8*a**4 + 34*a**3 + 146*a**2 + 144*a + 54. Let b(m) = 14*k(m) + 5*t(m). Factor b(w).
2*(w + 1)**2*(w + 3)**2
Suppose -3*j + 4 = 2*f, 3*j = 3*f + 12 + 12. Let z be (5/10 - 0)*j. Factor -y**4 - 5/4*y**3 + 0*y - 1/4*y**5 - 1/2*y**z + 0.
-y**2*(y + 1)**2*(y + 2)/4
Let x(g) be the second derivative of -5/12*g**3 - 1/2*g**2 - 1/40*g**5 + 0 - 6*g - 1/6*g**4. Solve x(q) = 0 for q.
-2, -1
Let v(n) be the first derivative of 0*n**3 - 3 + 0*n + 1/2*n**2 - 1/84*n**4 + 1/210*n**5. Let z(t) be the second derivative of v(t). Factor z(a).
2*a*(a - 1)/7
Factor 2/21*u**3 - 2/21*u + 4/21*u**2 - 4/21.
2*(u - 1)*(u + 1)*(u + 2)/21
Let g(c) be the first derivative of 2*c**5/5 - 7*c**4/2 - 9. Find t, given that g(t) = 0.
0, 7
Let s(j) be the first derivative of 4/7*j**2 - 8/7*j - 2/21*j**3 + 2. Factor s(b).
-2*(b - 2)**2/7
Let q(y) be the first derivative of y**4/18 - y**2/3 - 4*y/9 + 2. Let q(f) = 0. Calculate f.
-1, 2
Determine c, given that -4*c + 4*c**3 + 6*c**2 - 3*c**2 - 4 + c**4 + 0*c**4 = 0.
-2, -1, 1
Let f(o) be the third derivative of 2/15*o**5 - 5/12*o**4 + 2/3*o**3 - 4*o**2 + 0 + 0*o - 1/60*o**6. Factor f(l).
-2*(l - 2)*(l - 1)**2
Suppose 20*u = 16*u + 8. Determine t, given that 8/9*t - 2/9*t**u - 8/9 = 0.
2
Suppose 0 = 3*v - v + 8. Let i be 12/28 + v/(-56). What is n in -1/4 - 1/2*n**3 - 1/4*n**5 + 3/4*n + 3/4*n**4 - i*n**2 = 0?
-1, 1
Let q be ((66/(-44))/((-18)/(-16)))/(-2). Factor -8/9*h**4 + 2/9*h**2 + 0 + q*h**3 + 0*h.
-2*h**2*(h - 1)*(4*h + 1)/9
Let t be 15 + 2*3/(-6). Let o be (4/(-3))/(6/27). Let r(x) = 4*x**2 - 4*x. Let d(s) = 9*s**2 - 9*s. Let m(g) = o*d(g) + t*r(g). Solve m(y) = 0.
0, 1
Let u = -1847500/9 + 205492. Let b = -214 + u. Find x, given that 2/9*x**3 + 4/9*x**2 - b*x - 4/9 = 0.
-2, -1, 1
Let r be (-11)/55 - (-2)/10. Suppose 2/9*z**2 + r - 2/9*z = 0. What is z?
0, 1
Let t(a) = -a**5 + a**4 + a**3 + a**2 - a - 1. Let v(z) = -7*z**5 + 6*z**4 + 8*z**3 + 6*z**2 - 7*z - 6. Let y(h) = -6*t(h) + v(h). Factor y(x).
-x*(x - 1)**2*(x + 1)**2
Let o = 61/78 + -8/13. Let a(q) be the third derivative of -1/15*q**6 + 0*q**3 + 0*q + 4*q**2 + 0 - 1/12*q**4 + o*q**5. Let a(c) = 0. Calculate c.
0, 1/4, 1
Let s(o) be the third derivative of o**9/7560 - o**8/2100 + o**6/450 - o**5/300 - 5*o**3/3 + 4*o**2. Let q(l) be the first derivative of s(l). Solve q(y) = 0.
-1, 0, 1
Let k(v) be the first derivative of -v**7/1680 + v**6/360 - v**5/240 - 2*v**3/3 - 2. Let g(r) be the third derivative of k(r). What is q in g(q) = 0?
0, 1
Let f = 16 - 14. Let x(y) be the second derivative of 0 + f*y + 1/70*y**5 + 1/7*y**3 + 1/14*y**4 + 1/7*y**2. Solve x(q) = 0.
-1
Let h(j) be the first derivative of 6*j - 17*j - 9*j**2 - 16*j + 2 - j**3. Solve h(s) = 0 for s.
-3
Let v = -20/3 + 106/15. Factor 4/5*y - v*y**2 - 2/5.
-2*(y - 1)**2/5
Let x(o) = o**3 + 5*o**2 + 5*o + 4. Let a be x(-4). Suppose 5*r - 15 = 0, -2*y - 3*r = 3*y - 19. Factor y*t**2 - t**5 + a*t**5 + 0*t**5 - 2*t**4 + t.
-t*(t - 1)*(t + 1)**3
Suppose -60*t**4 + 22*t**4 - 17*t**4 - 15*t**5 - 5*t**2 - 55*t**3 + 10*t = 0. Calculate t.
-2, -1, 0, 1/3
Let q be (2 + -1)/(3/6 - -5). Suppose -2*w = -0*w - 4. Determine y, given that 0*y + 0 - 2/11*y**4 + 0*y**3 + q*y**w = 0.
-1, 0, 1
Let n(j) = -j**5 - 3*j**4 - 6*j**3 + 6*j**2 - j - 3. Let r = 4 - 7. Let k(b) = -b**5 - 3*b**4 - 5*b**3 + 5*b**2 - 2. Let f(o) = r*n(o) + 4*k(o). Factor f(u).
-(u - 1)*(u + 1)**4
Let c(t) be the first derivative of 1/25*t**5 + 0*t**2 - 1/30*t**4 + 2 + 2*t + 0*t**3. Let f(a) be the first derivative of c(a). Factor f(b).
2*b**2*(2*b - 1)/5
Let q(o) be the first derivative of -1/16*o**4 + 0*o + 5 - 1/12*o**3 + 0*o**2. Determine p, given that q(p) = 0.
-1, 0
Factor 1/6 - 1/2*i**2 + 1/3*i**3 + 0*i.
(i - 1)**2*(2*i + 1)/6
Let g be (6/12)/(1/6). Suppose 9 = 5*h - i - 2, -3*h - 3 = -g*i. Find c, given that 1/2*c + 1/2*c**h + c**2 + 0 = 0.
-1, 0
Let f be 1/2 - 95/210. Let c(x) be the second derivative of -1/70*x**5 + 0*x**2 - 1/105*x**6 + 1/42*x**4 + 0 + 2*x + f*x**3. Find q such that c(q) = 0.
-1, 0, 1
Find d such that 88*d + 19*d**4 + 24*d**4 + 156*d**2 + 12*d**4 + 16 + 122*d**3 + 6*d**5 - 11*d**4 = 0.
-2, -1, -1/3
Let t(f) = 5*f**2 - 2*f. Let y(j) = -4*j**2 + 2*j. Let x(l) = -5*t(l) - 6*y(l). Find s, given that x(s) = 0.
-2, 0
Factor -6/7 + 3/7*d**2 + 3/7*d.
3*(d - 1)*(d + 2)/7
Let q(v) = -v - 3. Let g be q(-7). Suppose 2*p**3 + p**2 + g*p**4 + p**5 - p**4 + p**3 = 0. What is p?
-1, 0
Let w(y) be the third derivative of y**5/60 - 6*y**2. Factor w(s).
s**2
Suppose -3*i = -i - 2*q + 6, 0 = 3*i + 4*q - 5. Let y(z) = 2*z + 2. Let c be y(i). Factor -1/3*h**3 + c*h + 0 - 1/3*h**2.
-h**2*(h + 1)/3
Factor -220*a**3 - 135*a**4 - 126*a**4 - 4*a - 52*a**2 - 39*a**4.
-4*a*(3*a + 1)*(5*a + 1)**2
Let s(f) be the second derivative of f**6/45 + f**5/30 - f**4/6 - f**3/9 + 2*f**2/3 + 39*f. Factor s(v).
2*(v - 1)**2*(v + 1)*(v + 2)/3
Let p(z) be the second derivative of 7*z**6/30 + 19*z**5/20 - z**4/2 - 14*z**3/3 + 4*z**2 - 5*z. Factor p(s).
(s - 1)*(s + 2)**2*(7*s - 2)
Factor -28*y + 3 + 9 + 8*y**2 + 0*y**2.
4*(y - 3)*(2*y - 1)
Let k be 15/(-9) +