 0*n**2 + 2/3*n**3 - 8/9*n + 0.
2*n*(n - 1)*(n + 2)**2/9
Let v(i) be the third derivative of 2*i**7/105 + i**6/6 + i**5/5 - 3*i**4/2 + 72*i**2. What is d in v(d) = 0?
-3, 0, 1
Let o(q) = 26*q**2 - 60*q + 34. Let n(i) = -9*i**2 + 20*i - 11. Let d(w) = 11*n(w) + 4*o(w). Factor d(b).
5*(b - 3)*(b - 1)
Let z = 8 + -5. Let 14*o**2 - 2*o**4 - 2*o**z + 2*o**3 - 12*o**2 = 0. What is o?
-1, 0, 1
Let y(q) be the third derivative of 3*q**2 - 1/42*q**4 + 0*q + 0 + 1/210*q**5 + 1/21*q**3. Factor y(s).
2*(s - 1)**2/7
Let y(v) be the first derivative of 3*v**4/32 + 3*v**3/8 - 3*v**2/4 - 4. Factor y(t).
3*t*(t - 1)*(t + 4)/8
Factor -245*h**4 + 434*h**3 + 26*h**2 + 40*h - 326*h**2 + 196*h**3.
-5*h*(h - 2)*(7*h - 2)**2
Let t(n) be the first derivative of 3*n**4/4 + 3*n**3 - 17. Factor t(b).
3*b**2*(b + 3)
Let j(q) be the second derivative of -q**4/6 + 2*q**3/3 - 33*q. Suppose j(w) = 0. Calculate w.
0, 2
Let i(o) = -4*o**4 + 4*o**3 - o**2 + o + 5. Suppose 0*u = -2*u + 6. Let b(y) = y**4 - 2 + 1 - u*y**3 + 2*y**3. Let m(t) = 5*b(t) + i(t). Solve m(f) = 0 for f.
-1, 0, 1
Let q be ((-162)/(-567))/((-9)/(-7)). Factor q*c**2 + 4/9 + 2/3*c.
2*(c + 1)*(c + 2)/9
Factor 4*d**3 - 5*d**5 - 2*d + 0*d**5 + 3*d**5.
-2*d*(d - 1)**2*(d + 1)**2
Let p = 305/148 - -7/37. Let x be 0 + ((-9)/(-6) - 1). Solve 7/4*y**3 + 0 + x*y - p*y**2 = 0.
0, 2/7, 1
Let b(r) be the third derivative of -r**5/150 - 3*r**4/20 - 8*r**3/15 + r**2 - 44*r. Factor b(s).
-2*(s + 1)*(s + 8)/5
Let x(d) be the third derivative of d**8/151200 + d**7/12600 + d**5/20 - 2*d**2. Let i(p) be the third derivative of x(p). Factor i(m).
2*m*(m + 3)/15
Let h be 4 - (12/4 - 1). Suppose -3*s = h*q - 1, 5*q - 5*s = 7 + 8. Factor 0*v**4 + 0*v**q - 2/7*v**5 + 0 + 4/7*v**3 - 2/7*v.
-2*v*(v - 1)**2*(v + 1)**2/7
Factor -1/6*v**2 - 1/6*v + 1/3.
-(v - 1)*(v + 2)/6
Let q(c) = c**3 + 6*c**2 + c - 4. Let l(w) = -9*w**3 - 48*w**2 - 9*w + 33. Let n(x) = -4*l(x) - 33*q(x). Let n(j) = 0. What is j?
0, 1
Let t(c) be the second derivative of -c**4/3 + 2*c**3 - 4*c**2 - 4*c. Factor t(i).
-4*(i - 2)*(i - 1)
Suppose -4*r + 2 = -6. Suppose 6 + 2 = r*p. Solve -6*n**3 + 6*n - 4*n**p - n - 4*n + n = 0 for n.
-1, 0, 1/2
Let j(z) be the first derivative of -1/24*z**3 + 1/16*z**4 - 3/80*z**5 + 3 + 2*z**2 + 0*z. Let r(y) be the second derivative of j(y). Let r(m) = 0. Calculate m.
1/3
Let s(c) be the third derivative of c**6/120 - c**5/10 + c**4/2 - 4*c**3/3 - 15*c**2. Factor s(p).
(p - 2)**3
Let z(k) be the third derivative of k**8/336 + k**7/210 + 2*k**2. Factor z(d).
d**4*(d + 1)
Suppose 0 = -2*h + 3*b + 13, -b = 4*h + 2*b + 1. Suppose -j + 0*j - 4*l + 24 = 0, 2*j + 12 = 4*l. What is c in j*c - c**h + 3*c - 6*c = 0?
0, 1
Suppose -2*d + 3 = -1. Let s = 2 - d. Factor -2*j**2 + 1 + s*j + 2*j + 3.
-2*(j - 2)*(j + 1)
Suppose 102*r - 18 = 99*r. Let w(v) be the second derivative of -1/9*v**4 - 2*v + 2/45*v**5 - 1/9*v**2 - 1/135*v**r + 0 + 4/27*v**3. Factor w(f).
-2*(f - 1)**4/9
Let m(f) be the second derivative of -49*f**5/180 + 7*f**4/36 - f**3/18 + 2*f**2 + 4*f. Let p(h) be the first derivative of m(h). Factor p(s).
-(7*s - 1)**2/3
Let u(r) = 3*r**2 - 5*r - 3. Let a(z) = 2*z**2 - 4*z - 2. Let t = -8 - -4. Let o(k) = t*u(k) + 5*a(k). Suppose o(h) = 0. Calculate h.
-1, 1
Let m(n) be the first derivative of -n**5/60 - 5*n**2/2 - 3. Let o(w) be the second derivative of m(w). Factor o(k).
-k**2
Let a(v) be the second derivative of -v**4/12 + v**3/6 + 6*v. Suppose a(o) = 0. What is o?
0, 1
Let m(l) = 4*l**3 - 6 - 6*l**3 - 3*l**2 + 7*l - 1. Let d(n) = -n**3 - 2*n**2 + 4*n - 4. Let q(s) = 5*d(s) - 3*m(s). Suppose q(y) = 0. What is y?
-1, 1
Suppose -2*k + k = -2. Suppose -k*i + i + 6 = 0. Solve i*a**3 + 14*a**2 - 2 + 4*a + 3*a**3 - a**3 = 0 for a.
-1, 1/4
Let r(u) = u + 1. Let k(c) = 2*c**2 + 18*c + 16. Let f(w) = -2*k(w) + 28*r(w). Factor f(o).
-4*(o + 1)**2
Let k be ((-2)/(-150))/((-22)/(-55)). Let j(d) be the second derivative of -1/5*d**2 - d - 2/15*d**3 - k*d**4 + 0. Factor j(z).
-2*(z + 1)**2/5
Let z(s) be the first derivative of 6 - 2/11*s**2 - 2/33*s**3 + 0*s + 21/22*s**4. Solve z(w) = 0 for w.
-2/7, 0, 1/3
Let -7/2*f**3 - 8*f**2 - 11/2*f - 1 = 0. What is f?
-1, -2/7
Let c(f) be the third derivative of 3/5*f**3 + 0 + 22/75*f**6 + 97/150*f**5 + 16/525*f**7 - 11/10*f**4 - f**2 + 0*f. Factor c(a).
2*(a + 3)**2*(4*a - 1)**2/5
Determine z so that -2*z**5 - 6*z**4 + 4*z**4 + 2*z**5 + 2*z**5 = 0.
0, 1
Let s(q) be the first derivative of 27*q**4/28 + 33*q**3/7 - 12*q**2 + 60*q/7 + 13. Suppose s(j) = 0. What is j?
-5, 2/3
Let i(l) = -7*l**5 + 9*l**4 + 13*l**3 - 11*l**2 + 5*l - 5. Let u(f) = -f**5 + f**4 + f**3 + f**2 + f - 1. Let w(b) = -i(b) + 5*u(b). Find n such that w(n) = 0.
-2, 0, 2
Factor -1/6*w**2 + 5/6*w - 2/3.
-(w - 4)*(w - 1)/6
Let g = 50329/33 + -1525. Let r(q) be the first derivative of 1/11*q**2 + g*q**3 - 4 + 0*q + 1/22*q**4. Factor r(c).
2*c*(c + 1)**2/11
Let b(t) = 2*t**3 - 2*t**2 - 6 - t**3 + t + 8. Let q(s) = -1. Let d(g) = -b(g) - 2*q(g). What is m in d(m) = 0?
0, 1
What is l in -23*l**2 + 31*l + 17*l - 146 + 2 + 19*l**2 = 0?
6
Factor -1/2*t**4 + 0*t - 8*t**2 + 0 + 4*t**3.
-t**2*(t - 4)**2/2
Suppose 4 = -4*z + 12. Suppose z*g = -2*g + 8. Factor -1/2*j + 0 - j**g - 1/2*j**3.
-j*(j + 1)**2/2
Let g(w) be the first derivative of 2*w**5/65 - 14*w**4/13 + 196*w**3/13 - 1372*w**2/13 + 4802*w/13 - 21. Factor g(u).
2*(u - 7)**4/13
Let f(b) be the first derivative of 2 - 1/2*b**2 + 1/3*b**3 + 0*b. Solve f(c) = 0 for c.
0, 1
Let j be ((-5)/(-5))/((-2)/6). Let z(k) = 3*k**2 - 6*k + 3. Let y(c) = -6*c**2 + 12*c - 5. Let x(i) = j*y(i) - 5*z(i). Determine g so that x(g) = 0.
0, 2
Factor 12/7*t**3 + 0*t + 0 - 12/7*t**2 - 3/7*t**4.
-3*t**2*(t - 2)**2/7
Let l = 1596/5 - 319. Factor -1/5*m**5 - 1/5*m + 2/5*m**3 + l + 1/5*m**4 - 2/5*m**2.
-(m - 1)**3*(m + 1)**2/5
Suppose 80 = -5*z + 5*u, 5*z + 57 + 23 = -4*u. Let f be 16/72 + z/(-90). Find x, given that 2/5*x + 0 - 4/5*x**2 + f*x**3 = 0.
0, 1
Let h(i) be the first derivative of 0*i**2 - 1/3*i**4 - 1/3*i**3 - 1/10*i**5 + 1 + i. Let n(l) be the first derivative of h(l). Factor n(f).
-2*f*(f + 1)**2
Let l = 5504/11 + -500. Factor -2/11*d**3 - 2/11*d + l*d**2 + 0.
-2*d*(d - 1)**2/11
Let s = -980 - -176401/180. Let h(o) be the third derivative of -s*o**5 - 1/360*o**6 + 1/630*o**7 + 1/72*o**4 + 3*o**2 + 0*o + 0*o**3 + 0. Factor h(q).
q*(q - 1)**2*(q + 1)/3
Let l be 880/104 + -6 + (-4)/2. Let p be (8/(-156))/(2/(-6)). Determine z so that l*z + 4/13 + 0*z**2 - p*z**3 = 0.
-1, 2
Factor -8/5 + 0*v + 2/5*v**3 + 6/5*v**2.
2*(v - 1)*(v + 2)**2/5
Let u(x) be the first derivative of 1 - 2/5*x**2 + 0*x + 2/5*x**3 - 1/10*x**4. Factor u(z).
-2*z*(z - 2)*(z - 1)/5
Suppose 3*b = -b + 756. Let l be (-1)/((-9)/(b/12)). Let 2*t**2 + 3/4*t**3 + 1/2 + l*t = 0. What is t?
-1, -2/3
Let w(b) be the second derivative of b**7/21 - b**5/5 + b**3/3 - b. Factor w(r).
2*r*(r - 1)**2*(r + 1)**2
Let q(v) be the first derivative of -v**5/25 - v**4/10 + 4*v**3/15 + 4*v**2/5 + 1. Find a such that q(a) = 0.
-2, 0, 2
Suppose -2*r + 539 = 3*j, 4*j + 2*r - 775 + 57 = 0. Let h = -1251/7 + j. Find i such that h*i**2 - 8/7*i + 8/7 = 0.
2
Let n(r) be the second derivative of 0*r**2 + 0 - 1/6*r**4 - 3*r + 1/10*r**5 - 2/3*r**3. Determine w so that n(w) = 0.
-1, 0, 2
Suppose r + r = 6. Let -6*c**4 + 5*c**4 + 7*c**r - c + 12*c**4 + 4*c**5 + 2*c**3 + c**2 = 0. What is c?
-1, 0, 1/4
Let d(w) be the first derivative of -5*w**6/6 + 2*w**5/5 + 5*w**4/4 - 2*w**3/3 - 1. Let d(k) = 0. What is k?
-1, 0, 2/5, 1
Let r(x) be the second derivative of -1/50*x**5 + 1/210*x**7 + 1/10*x**2 - 1/30*x**4 + 0 + 1/30*x**3 - x + 1/150*x**6. Factor r(m).
(m - 1)**2*(m + 1)**3/5
Let w(m) be the third derivative of m**5/12 - 25*m**4/24 + 5*m**3 + 22*m**2. Solve w(z) = 0.
2, 3
Let k be ((-14)/(-10) + -2)*-10. Suppose 0*b - 19 = 3*b - 5*n, 2*b + k = 2*n. Determine s so that -2/3*s**b + 0*s - 2/3*s**3 + 0 = 0.
-1, 0
Factor 20*h**3 + 4*h**5 + 3*h**2 - 2*h**2 + 7*h**2 + 16*h**4.
4*h**2*(h + 1)**2*(h + 2)
Let d(h) be the first derivative of -5*h**4/4 + 5*h**3 - 15*h**2/2 + 5*h - 4. Solve d(p) = 0.
1
Let n(r) = -3*r**4 + 3*r**3 - 6*r**2 + 6*r - 6. Let c(h) = -h**4 + h - 1. Let o(w) = 6*c(w) - n(w). Factor o(s).
-3*s**2*(s - 1)*(s + 2)
Let x(n) be the second derivative of -n**5/30 - n**4/6 