 4/3*u + 2/3.
2*(u + 1)**2/3
Let z = -1158 - -1159. Factor z - 1/2*q**2 + 1/2*q.
-(q - 2)*(q + 1)/2
Let g(b) be the second derivative of 3*b**5/100 - b**4/60 - b**3/10 + b**2/10 + b. Factor g(p).
(p - 1)*(p + 1)*(3*p - 1)/5
Let x be 13/3 - (-3)/(-9). Determine g so that 4*g**3 - 3*g - 12*g**2 + 2 + x*g**2 - g - 2*g**4 + 8*g**4 = 0.
-1, 1/3, 1
Factor 2/7*f**3 + 48/7*f + 32/7 + 18/7*f**2.
2*(f + 1)*(f + 4)**2/7
Let t(l) be the third derivative of -l**7/7560 + l**4/24 - 3*l**2. Let d(g) be the second derivative of t(g). Factor d(f).
-f**2/3
Let k be (6/21)/(6/7). Suppose -4*q + 24 = -4*y + 4, -5 = q + 4*y. Factor 2/3*f**2 - 1/3 - 2/3*f**q - 1/3*f**4 + k*f**5 + 1/3*f.
(f - 1)**3*(f + 1)**2/3
Suppose 7 - 7 = z. Suppose -4*m - 40 = -5*j, 0 = 3*m - m + 10. Factor 1/2*f**3 + f**j + z*f + 1/2*f**5 + 0 + 0*f**2.
f**3*(f + 1)**2/2
Let w(j) = -15*j. Let v be w(-1). Determine z so that -2*z - 15*z**4 + 0*z + 6*z**3 + v*z**2 - 4*z = 0.
-1, 0, 2/5, 1
Determine f, given that 40*f**2 + 140*f**3 + f**5 - 32*f**5 - 4*f**5 - 10*f**4 = 0.
-2, -2/7, 0, 2
Let i = -1025 - -1025. Find d such that i*d - 1/4*d**2 + 0 + 1/4*d**3 = 0.
0, 1
Find q such that -15*q**4 + 0 + 35*q + 11 - 37*q**3 - 1 + 5*q**2 + 2*q**3 = 0.
-2, -1, -1/3, 1
Let u be ((288/(-40))/(-6))/(22/10). Let -u - 4/11*g + 2/11*g**2 = 0. What is g?
-1, 3
Suppose -2*j - 7 = 4*r - 31, 2*r = 2*j + 24. Factor 5*v**2 + 5*v + 7*v**2 - r*v - 9.
3*(v - 1)*(4*v + 3)
Suppose -3*t = 9 - 21. Suppose 2/5*o**t + 0*o**3 + 0 - 1/5*o + 1/5*o**5 - 2/5*o**2 = 0. What is o?
-1, 0, 1
Find y, given that -4/5*y**2 - 2/5*y**3 - 2/5*y + 0 = 0.
-1, 0
Suppose 0 = -c - 0*c + 42. Let r be 1/5 + c/15. Factor -6*i + 2*i**2 + i**3 - r + 1 + 5*i**3.
2*(i - 1)*(i + 1)*(3*i + 1)
Let m(y) be the third derivative of 0*y - 1/6*y**5 + 6*y**2 - 2/3*y**4 - 1/60*y**6 - 4/3*y**3 + 0. Factor m(x).
-2*(x + 1)*(x + 2)**2
Let n(h) be the second derivative of -1/4*h**4 - 1/10*h**5 - 1/60*h**6 - 2*h - 1/4*h**2 - 1/3*h**3 + 0. Find w such that n(w) = 0.
-1
Suppose 15*a = 12*a - 6. Let o be a + ((-132)/(-20))/3. Factor -o - 2/5*s**3 + 3/5*s - 1/5*s**5 - 2/5*s**2 + 3/5*s**4.
-(s - 1)**4*(s + 1)/5
Let x = 17 + -8. Let n(r) = -3*r**4 + 5*r**3 - 5*r**2 - r. Let y(u) = 7*u**4 - 11*u**3 + 11*u**2 + 2*u. Let w(h) = x*n(h) + 4*y(h). Factor w(f).
f*(f - 1)*(f + 1)**2
Let c(t) be the second derivative of -2/5*t**6 + 0 - 7*t + 4/5*t**5 - 8/3*t**3 - 8*t**2 + 7/3*t**4. Let c(p) = 0. What is p?
-1, -2/3, 1, 2
Let j be (-85)/5 - (1 + 0). Let x be 2/6 - (-6)/j. Factor 1/2*p**2 + 0 + 0*p + x*p**3 - 1/2*p**4.
-p**2*(p - 1)*(p + 1)/2
Factor -b + 9*b + 7 + 0*b - 3 + 3*b**2.
(b + 2)*(3*b + 2)
Let t(i) = i - 4. Let v be t(5). Let m be -2*v + (-88)/(-32). Let 0 + 0*f - 1/4*f**5 + m*f**4 + 1/4*f**2 - 3/4*f**3 = 0. What is f?
0, 1
Let x(p) be the second derivative of p**2 - 7/6*p**3 + 3/4*p**4 + 1/30*p**6 - 1/4*p**5 + 3*p + 0. Let x(j) = 0. Calculate j.
1, 2
Suppose 0*c + 4*c = 0. Solve 12*u + 9*u**2 - 4*u - 3*u**4 + 6 + c*u**4 - 3*u**3 + 7*u = 0 for u.
-1, 2
Let v be (11/(-55) + -1)*(-1)/3. Factor v*d**2 + 0 + 4/5*d.
2*d*(d + 2)/5
Let m(z) = z**2 + z - 3. Let n(s) = -3*s**2 - 3*s + 8. Let b(p) = 8*m(p) + 3*n(p). Let b(v) = 0. What is v?
-1, 0
Factor -6*l**2 + 7*l**5 + 0*l**5 + 48*l**3 + 14*l**5 - 15*l**3 - 48*l**4.
3*l**2*(l - 1)**2*(7*l - 2)
Factor 4/7*u**3 + 0*u**2 + 0 - 4/7*u.
4*u*(u - 1)*(u + 1)/7
Let y(k) = -4*k**3 - 2*k**2 + 10*k + 2. Let m(h) = -3*h**3 - 3*h**2 + 11*h + 3. Let u(x) = 3*m(x) - 4*y(x). Suppose u(n) = 0. Calculate n.
-1, 1/7, 1
Let v(l) = -2*l**2 - 5*l. Let z(x) = x + 3. Let k be z(-5). Let b = k - 2. Let r(c) = 2*c**2 + 4*c. Let s(j) = b*v(j) - 5*r(j). Suppose s(t) = 0. What is t?
0
Let p(k) be the second derivative of -k**6/6 - 5*k**5/4 - 5*k**4/2 + 10*k**3/3 + 20*k**2 + 5*k. Factor p(g).
-5*(g - 1)*(g + 2)**3
Determine m, given that -1/4*m**2 - 8*m - 64 = 0.
-16
Let k(b) = -3*b**5 + 13*b**4 - 3*b**3 + 7*b**2 + 7*b + 7. Let l(g) = g**5 - 4*g**4 + g**3 - 2*g**2 - 2*g - 2. Let f(z) = -2*k(z) - 7*l(z). Factor f(r).
-r**3*(r - 1)**2
Let k(x) be the first derivative of 1/120*x**6 + 1/40*x**5 + 0*x**2 + 0*x**3 + x + 1/48*x**4 + 1. Let n(g) be the first derivative of k(g). Factor n(v).
v**2*(v + 1)**2/4
Let n(a) be the third derivative of -a**5/15 - a**4/2 + 8*a**3/3 - a**2 + 1. Let n(q) = 0. Calculate q.
-4, 1
Let z(l) be the second derivative of -l**7/840 - l**6/480 - 2*l**2 - l. Let o(g) be the first derivative of z(g). Factor o(a).
-a**3*(a + 1)/4
Let c be 10*(-62)/6*-3. Factor -t**4 + 600*t**3 - 2185*t**5 + t**4 - 48*t + c*t**5.
-3*t*(5*t - 2)**2*(5*t + 2)**2
Let j(x) be the third derivative of 8*x**7/735 - x**6/105 - x**5/60 - x**4/168 + 5*x**2. Solve j(y) = 0 for y.
-1/4, 0, 1
Let d(j) be the second derivative of 10*j - 8/3*j**2 - 14/9*j**3 + 0 - 1/6*j**4. Factor d(g).
-2*(g + 4)*(3*g + 2)/3
Let s(m) be the third derivative of 0*m**3 - 2*m**2 - 1/210*m**7 - 1/336*m**8 + 1/120*m**6 + 0*m + 1/60*m**5 + 0 + 0*m**4. Factor s(p).
-p**2*(p - 1)*(p + 1)**2
Let q = 29 - 21. Factor t**3 + 10*t + 5*t**3 - q*t**2 - 4*t**3 - 4.
2*(t - 2)*(t - 1)**2
Let h(i) be the first derivative of 0*i**2 + 0*i - 3/2*i**6 - 3/25*i**5 - 4 + 3/10*i**4 + 0*i**3. Solve h(n) = 0.
-2/5, 0, 1/3
Let a be (-2)/4 - 1/(-2). Factor 6*u**2 - 4*u**2 - 2*u**4 + a*u**2.
-2*u**2*(u - 1)*(u + 1)
Let x = 74/429 - -4/429. Solve 0*i**2 - 4/11*i + 2/11 + 4/11*i**3 - x*i**4 = 0.
-1, 1
Let g be 72/(-27)*(-1)/(2/2). Let d(b) = -b**3 + 3*b**2 - 1. Let n be d(2). Factor n*z**4 + 22/3*z**2 + 1/3 + 8*z**3 + g*z.
(z + 1)**2*(3*z + 1)**2/3
Factor 2/13*k**4 + 2/13*k**3 + 0*k + 0 + 0*k**2.
2*k**3*(k + 1)/13
Let i(x) be the second derivative of -4*x - 1/90*x**5 + 0*x**2 + 0 - 1/27*x**3 - 1/27*x**4. Find g, given that i(g) = 0.
-1, 0
Let a(g) be the first derivative of 4 + 0*g**4 + 0*g**2 - 2*g + 1/70*g**5 - 1/21*g**3. Let q(u) be the first derivative of a(u). Determine y so that q(y) = 0.
-1, 0, 1
Let p = 3/56 - -97/280. Let z(g) be the first derivative of -1/10*g**4 + 1/5*g**2 + p*g - 2 - 2/15*g**3. Let z(y) = 0. What is y?
-1, 1
Find n, given that 0 + 3/5*n**5 + 6/5*n**4 - 12/5*n**3 + 9/5*n - 6/5*n**2 = 0.
-3, -1, 0, 1
Let n be 1*-7*(15 - 1). Let r = -684/7 - n. Find a, given that 0 + 2/7*a**5 - r*a**3 + 0*a - 4/7*a**2 + 4/7*a**4 = 0.
-2, -1, 0, 1
Determine w, given that 8/9*w + 8/9*w**2 + 2/9*w**3 + 0 = 0.
-2, 0
Factor 15*o + 78*o**3 + 12*o**2 + 1 - 75*o**3 + 5.
3*(o + 1)**2*(o + 2)
Suppose -9 = -3*v - y + 2, -3*v = -y - 19. Factor -1/2*r**v + r**3 - 1/2*r**4 - 1/2*r - 1/2 + r**2.
-(r - 1)**2*(r + 1)**3/2
Let g(q) = -13*q**4 - 48*q**3 - 22*q**2 + 38*q - 2. Let a(o) = 25*o**4 + 95*o**3 + 45*o**2 - 75*o + 5. Let w(f) = -2*a(f) - 5*g(f). What is h in w(h) = 0?
-2, 0, 2/3
Determine k so that 12*k - 3*k**2 + 2*k**2 - 2 + 6*k - 15*k = 0.
1, 2
Let b be 1 + (1 - 0)*5. Let n be (b/(-3))/((-2)/4). Determine x, given that -3*x + x**3 - 2 - n + 4 = 0.
-1, 2
Let p(h) = -10*h**2 + 10*h - 7. Let u(r) = -4*r**2 + r - 1. Let o(y) = y**2. Let v(i) = -3*o(i) - u(i). Let c(k) = 2*p(k) + 18*v(k). Factor c(z).
-2*(z - 2)*(z + 1)
Let o(j) be the third derivative of 0*j + 3/2*j**3 - 1/4*j**4 - 2*j**2 + 1/60*j**5 + 0. Factor o(t).
(t - 3)**2
Let w(d) be the first derivative of -d**5/20 - 3*d**4/16 - d**3/12 + 3*d**2/8 + d/2 - 16. Determine h so that w(h) = 0.
-2, -1, 1
Let d = 355332608 - 3379213141717/9510. Let u = -2/1585 - d. What is h in -5*h - u*h**2 - 3/2 = 0?
-3/5
Let t = -4 + 4. Factor t - d + 6*d**4 - 8*d**3 + 0 - 2*d**2 + 5*d.
2*d*(d - 1)**2*(3*d + 2)
Let f = -20 + 22. Let p(k) be the first derivative of -3/7*k**4 + 8/21*k**3 + 0*k + 8/35*k**5 - 1/21*k**6 - 1 - 1/7*k**f. Factor p(g).
-2*g*(g - 1)**4/7
Let z(k) be the third derivative of -k**8/40320 + k**7/20160 + k**5/60 - 3*k**2. Let u(s) be the third derivative of z(s). Determine o, given that u(o) = 0.
0, 1/2
Let v(x) be the third derivative of x**6/90 + x**5/12 + x**4/4 - x**3/2 + 2*x**2. Let i(w) be the first derivative of v(w). Suppose i(h) = 0. Calculate h.
-3/2, -1
Find n such that 7*n**2 + 0*n**2 + n**3 - 2*n - 3*n**2 - 3*n**3 = 0.
0, 1
Let v(a) be the third derivative of 1/210*a**5 + 0*a**3 + 0*a**4 + 1/1176*a**8 + 0 - 3*a**2 - 1/420*a**6 - 1/735*a**7 + 0*a. Factor v(o).
2*o**2*(o - 1)**2*(o + 1)/7
Let u(b) be the third derivative of b**6/180 - b**5/30 + b**4/12 + b