 = 0. Calculate g.
-6, 0
Let d(l) = -l + l + 46 - l**3 - 45. Let h(b) = 238*b**3 - 378*b**2 + 180*b - 19. Let r(f) = 5*d(f) - h(f). Factor r(u).
-3*(3*u - 2)**2*(9*u - 2)
Factor 0*n**4 - 2*n**4 + 0*n**4 + n**3 + 2*n**2 - n**5.
-n**2*(n - 1)*(n + 1)*(n + 2)
Let i = 44407/4 + -11310. Let n = i + 213. Solve 11/2*w**2 + 1/2 - n*w**3 - 11/4*w + 3/2*w**4 = 0 for w.
1/2, 2/3, 1
Let c = 10 - -11. Let 9*l**5 + c*l**4 + 21*l**3 + 4*l**2 + 2*l**2 + 0*l**2 + 3*l**4 = 0. Calculate l.
-1, -2/3, 0
Let k(q) be the second derivative of -q**6/45 - 7*q**5/30 + q - 21. Let k(g) = 0. Calculate g.
-7, 0
Let b(o) be the first derivative of o**4/8 + o**3/3 - o**2/4 - o - 12. Determine v, given that b(v) = 0.
-2, -1, 1
Let b be -4 + ((-132)/(-3))/4. Suppose v = -2*c + b, 0 = -4*c + 3*v - 1. Solve 0*z**3 + 0 + 0*z + 2/5*z**4 - 8/5*z**5 + 0*z**c = 0.
0, 1/4
Let t = -999 + 5021/5. Let a = -5 + t. Let 0*m**3 + 1/5*m**2 + 0*m + 0 - a*m**4 = 0. Calculate m.
-1, 0, 1
Let u = 1 - -5. Let p = u - 6. Factor 1/4*y**2 + 1/4*y + p.
y*(y + 1)/4
Let n(z) be the third derivative of -z**8/504 - z**7/105 - z**6/60 - z**5/90 - 7*z**2. Factor n(b).
-2*b**2*(b + 1)**3/3
Let l(i) be the second derivative of i**7/840 - i**5/120 - 2*i**3/3 - 4*i. Let a(s) be the second derivative of l(s). Determine g, given that a(g) = 0.
-1, 0, 1
Let u = -4 - -7. Suppose 5*o = 5*h + 35, -7*o - h + u = -3*o. Factor -2*i - 4 - o*i + 0*i**2 - i**2.
-(i + 2)**2
Find o, given that 1/2*o**2 + 1 - 3/2*o**4 - 13/2*o**3 + 9/2*o + 2*o**5 = 0.
-1, -1/4, 1, 2
Suppose 0 = q - 2 - 0. Suppose 9 = q*x + x. Factor -5*g**3 + g**5 + g + 0*g + x*g**3.
g*(g - 1)**2*(g + 1)**2
Let o be ((-22)/21)/11 - 2/(-3). Let 2/7*b**2 - o*b - 6/7 = 0. What is b?
-1, 3
Let d(q) be the third derivative of q**6/120 - q**5/10 + q**4/3 - 2*q**3 - 5*q**2. Let j be d(5). Factor 0 - 8/5*g - 10*g**j - 8*g**2.
-2*g*(5*g + 2)**2/5
Let s(b) be the second derivative of b**6/36 + b**5/6 - 35*b**4/72 - 25*b**3/18 - 31*b. Suppose s(l) = 0. Calculate l.
-5, -1, 0, 2
Let o(y) = -3*y - 4. Let c be o(-6). Let j be (-46)/(-14) + (-4)/c. Find d such that -2/5*d**2 + 2/5 + 7/5*d - 7/5*d**j = 0.
-1, -2/7, 1
Let x(o) = 3*o**2 - o. Let f be x(1). Let t(m) be the first derivative of -f*m**2 + 1/2*m**4 + 0*m - 2/3*m**3 + 1. Factor t(d).
2*d*(d - 2)*(d + 1)
Let w(u) be the second derivative of -11/12*u**4 - 2*u + u**2 + 0 - 5/6*u**3 - 1/5*u**5. Factor w(c).
-(c + 1)*(c + 2)*(4*c - 1)
Let h(m) be the first derivative of -m**4 - 2 + 1/3*m**6 + 0*m**3 + 0*m + 0*m**5 + m**2. Suppose h(s) = 0. What is s?
-1, 0, 1
Let l(d) be the first derivative of 1/2*d**2 + 1 - d - 1/3*d**3. Let y(t) = 10*t**2 - 10*t + 12. Let b(z) = -12*l(z) - y(z). What is q in b(q) = 0?
0, 1
Let h = -167/2 - -84. Suppose -1 + 1/2*a**2 - h*a = 0. Calculate a.
-1, 2
Let j(l) = -l**5 - 18*l**4 + 4*l**3 + 10*l**2 - 3*l + 8. Let q(t) = 0*t - t**4 + 14*t**2 - 14*t**2 + t + 1 - t**5. Let z(m) = -j(m) + 6*q(m). Factor z(w).
-(w - 1)**3*(w + 1)*(5*w - 2)
Let j = 456952/20503 + -4/2929. Let u = j - 22. What is g in -u*g**5 + 0 + 2/7*g + 4/7*g**4 + 0*g**3 - 4/7*g**2 = 0?
-1, 0, 1
Let o = 1341/2 - 241379/360. Let q(m) be the third derivative of -2*m**2 - 1/72*m**4 + 0*m + 0 + o*m**6 - 1/180*m**5 + 1/18*m**3. Suppose q(w) = 0. Calculate w.
-1, 1
Let t(n) be the first derivative of 0*n + 0*n**2 - 1/6*n**6 - 3/10*n**5 - 1/8*n**4 - 1 + 0*n**3. Factor t(u).
-u**3*(u + 1)*(2*u + 1)/2
Let r = 14 - 6. Factor 4*x**2 + r*x - 65 + 0*x**2 + 53.
4*(x - 1)*(x + 3)
Let h be (4/(-12))/(3/9). Let z be (-1)/h - 3/(-3). Find f, given that -2*f + z*f**3 + f**2 - 3/2*f**4 + 1/2 = 0.
-1, 1/3, 1
Let c be 0 - -2*(-2 + 3). Suppose 0*p + c = p. Let 0 - 4*t**p + 2*t**3 + 2 - 2*t + 2*t**2 = 0. What is t?
-1, 1
Let r = -62733 - -438286/7. Let y = 121 + r. Find c such that 0*c**2 + y*c**3 + 0 - 2/7*c = 0.
-1, 0, 1
Let n(z) be the first derivative of z**6/3 - 2*z**5/5 - z**4/2 + 2*z**3/3 - 5. Suppose n(x) = 0. Calculate x.
-1, 0, 1
Suppose -2*z + 12 = 5*g, 5*z = 2*z + 3. Factor -f**3 - g*f**4 - 4*f**2 - f**3 - 3*f**3 - f.
-f*(f + 1)**2*(2*f + 1)
Suppose 11 + 13 = 6*p. Let o(n) be the second derivative of -1/18*n**3 + 0 - n + 1/3*n**2 - 1/12*n**p. Factor o(h).
-(h + 1)*(3*h - 2)/3
Let r = -42/11 - -82/33. Let q = r + 26/15. Let 0 + 2/5*n - q*n**2 = 0. What is n?
0, 1
Let d(i) = -5*i**4 - 5*i**3 + 35*i**2 + 5*i - 27. Let h(b) = -5*b**4 - 5*b**3 + 35*b**2 + 5*b - 26. Let c(k) = 4*d(k) - 3*h(k). Find n, given that c(n) = 0.
-3, -1, 1, 2
Suppose 9*g**2 + 2*g**2 - 7*g**2 - 4*g = 0. What is g?
0, 1
Let b(c) = 6*c**4 + c**3 + 3*c**2 + 5. Let p(v) = 3*v**4 + v**2 + 2. Let d(u) = 2*b(u) - 5*p(u). Factor d(t).
-t**2*(t - 1)*(3*t + 1)
Let i(x) be the third derivative of x**6/420 + 2*x**5/105 + x**4/28 - 7*x**2. Let i(c) = 0. What is c?
-3, -1, 0
Let r(c) be the first derivative of c**5/150 + c**4/60 - 5*c**2/2 - 2. Let o(q) be the second derivative of r(q). Factor o(s).
2*s*(s + 1)/5
Suppose -14*t + 17*t - 2 = -2*b, 0 = 4*t + 8. Determine p so that -21/5*p**3 + 0 + 6/5*p**2 + 0*p + 3*p**b = 0.
0, 2/5, 1
Let a(c) be the third derivative of c**6/240 - c**5/120 - c**4/48 + c**3/12 + 2*c**2. Factor a(i).
(i - 1)**2*(i + 1)/2
Let a(f) be the third derivative of 0*f + 2*f**2 - 1/600*f**6 + 0 + 0*f**4 - 1/150*f**5 + 0*f**3. Factor a(y).
-y**2*(y + 2)/5
Let o(v) be the third derivative of v**7/840 - v**6/240 - v**5/80 + v**4/12 - v**3/6 - 4*v**2. Factor o(x).
(x - 2)*(x - 1)**2*(x + 2)/4
Let c(i) = 4*i**3 + 6*i**2 + 2*i + 7. Let u(w) = -2*w**3 - 3*w**2 - w - 3. Suppose r = -4*r + 15. Let q(f) = r*c(f) + 7*u(f). Factor q(v).
-v*(v + 1)*(2*v + 1)
Let j(r) = -3*r**2 + 4*r + 7. Let d(a) = 3*a**2 - 3*a - 6. Let c(b) = 2*d(b) + 3*j(b). Suppose c(p) = 0. What is p?
-1, 3
Factor 1/6*x**5 - 2/3*x**3 + 0 + 1/2*x + 1/3*x**2 - 1/3*x**4.
x*(x - 3)*(x - 1)*(x + 1)**2/6
Factor 46 - 5 + 8 + 21 - 65*y - 145*y**2 - 10*y**3.
-5*(y + 1)*(y + 14)*(2*y - 1)
Let m = 74 + -220/3. Determine y, given that -m*y + 0*y**2 + 2/3*y**3 + 0 = 0.
-1, 0, 1
Let k(p) = 3*p**3 - p**2 - p - 1. Let n be k(-1). Let y = n + 8. Factor 0*f + f**2 - y*f + 1 + 2*f.
(f - 1)**2
Let t(f) be the first derivative of 4*f**3/15 + 12*f**2/5 + 36*f/5 - 7. Factor t(a).
4*(a + 3)**2/5
Let o(d) be the third derivative of d**5/150 + d**4/30 + d**3/15 - 7*d**2. Factor o(l).
2*(l + 1)**2/5
Let n(h) = -h**2. Suppose 2*r - 33 + 39 = 0. Let q = -2 - -1. Let t(w) = -6*w - 3. Let v(b) = q*t(b) + r*n(b). Factor v(z).
3*(z + 1)**2
Let l be ((2/(-3))/(-2))/(138/207). Factor -l + 1/4*g**2 + 1/4*g.
(g - 1)*(g + 2)/4
Let a(z) = -z**3 - 1. Let x = 2 + -5. Let l be (-3 - (1 + x))*3. Let o(b) = 5*b**3 + 8*b**2 + 8*b + 3. Let r(c) = l*a(c) - o(c). Solve r(d) = 0.
-2, 0
Factor 2166/7*m**2 + 8/7 + 228/7*m + 6859/7*m**3.
(19*m + 2)**3/7
Let a = 11 - 8. Factor -3*c**3 + 0*c + 0*c**3 + a*c.
-3*c*(c - 1)*(c + 1)
Let c(h) be the third derivative of 0*h**4 + 1/150*h**5 + 8/525*h**7 + 0*h**3 + 0*h - 1/60*h**6 - 1/210*h**8 - 3*h**2 + 0. Factor c(l).
-2*l**2*(l - 1)*(2*l - 1)**2/5
Let l(x) = 8*x**3 + x**2 + x - 1. Let u be l(1). Let r be (2/(-1))/((-3)/u). Factor 2*t - 2*t**2 + 0*t + r*t**2 + 2*t**3.
2*t*(t + 1)**2
Suppose 0 = -6*r + 9 + 9. Let j(l) be the first derivative of -2*l + 8/3*l**r - 3*l**2 - 1. Determine u so that j(u) = 0.
-1/4, 1
Suppose 3*u - 2 = -2*n, -u + n = 4*n + 4. Find m, given that 4/5*m + 2/5 + 2/5*m**u = 0.
-1
Let c(p) be the second derivative of p**6/40 + p**5/10 - p**4/2 - p**3/6 - 3*p. Let g(a) be the second derivative of c(a). Factor g(w).
3*(w + 2)*(3*w - 2)
Factor -11 - 3*f**2 - 7*f**2 - 14*f - 2*f**3 + 5.
-2*(f + 1)**2*(f + 3)
Let s be (270/180)/((-18)/(-4)). Solve -1/3*v**4 + s*v**2 + 0 - 1/3*v + 1/3*v**3 = 0.
-1, 0, 1
Solve 0*i + 0 - 2/3*i**2 = 0.
0
Suppose -5*u = -13 - 2. Suppose -2*s - u*z = -16, 0 = 2*z - 7 - 1. Find b such that -1 - b**2 - 3*b**s - 8*b**2 + 15*b - 2 = 0.
1/4, 1
Let t(b) be the first derivative of 2*b + 1/15*b**6 + 1/6*b**4 + 0*b**2 + 1/5*b**5 + 4 + 0*b**3. Let c(i) be the first derivative of t(i). Factor c(n).
2*n**2*(n + 1)**2
Suppose 0 = 5*a - 4*q - 42, 3*a - 2*a - 15 = 3*q. Let w(r) = r - 2. Let b be w(a). Solve -1/3*c**b + 1/3 + 2/3*c**3 + 0*c**2 - 2/3*c = 0.
-1, 1
Suppose 2*s - 9 = 5*d - 3, 2*s + 4 = 0. Let t be (-9)/(-6) + (-1)/d. Factor o - o**5 + 0*o**4 - 2*o**2 + t*o**4 + 0*o**5.
-o*(