 Factor b(g).
-(g - 1)*(g + 2)/3
Let i(j) be the first derivative of -1/6*j**3 + 0*j**2 - 1/10*j**5 + 1/4*j**4 + 0*j + 3. Determine t so that i(t) = 0.
0, 1
Let x be 82/148 + (1 - 1). Let u = -2/37 + x. Factor -1/2*p**2 + 1/2 - 1/2*p + u*p**3.
(p - 1)**2*(p + 1)/2
Let s(i) = -6*i**2 + 4*i**2 + 11*i - 14 + i**2. Let l(n) = -n + 1. Suppose -4*t + 26 = 6. Let v(f) = t*l(f) + s(f). Find d, given that v(d) = 0.
3
Let g(v) be the first derivative of -81*v**4/4 - 32*v**3 - 24*v**2 + 33*v - 2. Let a(i) = 5*i**3 + 6*i**2 + 3*i - 2. Let d(y) = -33*a(y) - 2*g(y). Factor d(l).
-3*l*(l + 1)**2
Factor -8/3*l + 0 + 2/3*l**3 + 2*l**2.
2*l*(l - 1)*(l + 4)/3
Let k(l) = 5*l - 9. Let n be k(6). Let c(r) = -2*r**3 + n*r - r**2 - 20*r - 2 - r**4 + 3. Let d(v) = v**2 + v. Let z(h) = c(h) + d(h). Solve z(x) = 0.
-1, 1
Let v = 4333/55 - 393/5. Find c, given that -v + 2/11*c**2 - 2/11*c**3 + 2/11*c = 0.
-1, 1
Let o be (-2)/(1/((-1)/5)). Let p(g) be the first derivative of 2 + 2/3*g**3 + 0*g + 0*g**4 - o*g**5 + 0*g**2. Factor p(n).
-2*n**2*(n - 1)*(n + 1)
Let w(v) be the third derivative of 0*v + 0 - 4/105*v**7 + 11/60*v**6 + 0*v**3 + 3/8*v**4 - 2/5*v**5 + 5*v**2 + 1/336*v**8. Suppose w(a) = 0. What is a?
0, 1, 3
Suppose h + 4*r = 3, -5*r - 73 = -5*h - 58. Factor 2/3 + 2/3*x**h - 2/3*x - 2/3*x**2.
2*(x - 1)**2*(x + 1)/3
Let x(l) = 5*l**3 + 5*l**2 - 20*l - 35. Let i(o) = -o**2 + 1. Let r(g) = -5*i(g) + x(g). Find p, given that r(p) = 0.
-2, 2
Factor 4*x**3 + 19*x**2 - 21*x**2 + x**4 - 5*x**3.
x**2*(x - 2)*(x + 1)
Suppose 88*t = 80*t. Suppose 0*g + t + 0*g**2 - 1/7*g**3 = 0. Calculate g.
0
Let o = 7/6 + -29/30. Determine s so that -o*s**2 + 1/5*s**3 + 1/5 - 1/5*s = 0.
-1, 1
Let j = 66287/3 + -21796. Let l = -297 + j. Factor -8/3*m - 2/3*m**3 + 0 - l*m**2.
-2*m*(m + 2)**2/3
Let n(c) = -c**2 + c. Suppose -3*t - o - 31 = 0, 3*t - o + 24 = t. Let g(f) = -6*f**2 + 5*f. Let v(u) = t*n(u) + 2*g(u). Factor v(m).
-m*(m + 1)
Let h(w) be the second derivative of w**7/84 - w**6/6 + w**5 - 10*w**4/3 + 20*w**3/3 - 8*w**2 + 26*w. Factor h(f).
(f - 2)**5/2
Solve -2*x**2 - 12/17*x - 28/17*x**3 + 0 - 6/17*x**4 = 0 for x.
-3, -1, -2/3, 0
Suppose -34 = 2*m + 5*d, 0 = -3*m + 2*d + d - 9. Let z(f) = 81*f**2 - 60*f + 12. Let g(j) = 82*j**2 - 60*j + 12. Let i(v) = m*z(v) + 6*g(v). Factor i(c).
-3*(5*c - 2)**2
Determine n so that -2/3*n**3 + 2/3*n + 0 + 0*n**2 = 0.
-1, 0, 1
Let v(h) be the third derivative of h**9/30240 - h**8/10080 - h**5/20 - 2*h**2. Let d(i) be the third derivative of v(i). Find q, given that d(q) = 0.
0, 1
Let f(n) be the second derivative of -5*n - 2/3*n**2 + 5/18*n**4 + 1/3*n**3 + 0. Find c such that f(c) = 0.
-1, 2/5
Suppose -2*g + 123 = 119. What is d in 0*d - 2/7 + 2/7*d**g = 0?
-1, 1
Suppose -13 + 1 = -4*a. Let v = 4 + -1. Let 2*y**2 + y**3 + y + a*y**v - 3*y**3 = 0. What is y?
-1, 0
Solve -36/11*u - 96/11*u**4 + 48/11*u**3 + 138/11*u**2 - 54/11 = 0 for u.
-3/4, 1
Let v = 1839 - 349409/190. Let j = 371/1710 + v. Suppose -2/9 - 4/9*q - j*q**2 = 0. What is q?
-1
Let m(k) = -4*k**4 - 8*k**3 - 13*k**2 - 3. Let i(w) = 3*w**4 + 8*w**3 + 14*w**2 + 2. Let b(g) = 6*i(g) + 4*m(g). Determine o so that b(o) = 0.
-4, 0
Let -4/5*p**5 - 4/5*p - 48/5*p**2 + 24/5 + 24/5*p**4 + 8/5*p**3 = 0. What is p?
-1, 1, 6
Suppose -3*s = 5*s. Factor -1/2*i**4 - i**3 - 1/2*i**2 + s*i + 0.
-i**2*(i + 1)**2/2
Suppose -4*l = -6*l. Factor l*i - 7*i + 4*i**2 + 7*i.
4*i**2
Let k(d) = d**4 + 68*d**3 + 291*d**2 - 794*d + 432. Let i(r) = r**4 - r**3 + r. Let g(z) = -2*i(z) - k(z). Factor g(v).
-3*(v - 1)**2*(v + 12)**2
Suppose -2 + 4 = 2*p - 2*k, -4*p - k = -9. Factor 3*u**3 + u**2 - 3*u**p + 2*u**3 - 3*u**3.
2*u**2*(u - 1)
Let p(i) = 33*i**2 - 27*i. Let s(f) = 32*f**2 - 28*f + 1. Let q(w) = -5*p(w) + 6*s(w). Suppose q(j) = 0. Calculate j.
2/9, 1
Let x(b) be the first derivative of -b**5/35 + b**4/4 - 13*b**3/21 - 3*b**2/14 + 18*b/7 - 32. Factor x(q).
-(q - 3)**2*(q - 2)*(q + 1)/7
Let f(t) be the second derivative of -1/30*t**6 - 1/84*t**7 + 0 + 1/12*t**4 + 0*t**5 + 1/12*t**3 - 6*t + 0*t**2. Suppose f(w) = 0. What is w?
-1, 0, 1
Let z(q) = q - 10. Let m be z(12). Suppose -6 = -b - m. Factor 4/9*x**2 + 2/9 - 2/3*x - 2/3*x**b + 2/9*x**5 + 4/9*x**3.
2*(x - 1)**4*(x + 1)/9
Let x(a) be the first derivative of -4*a - 1 + 2*a**2 - 1/3*a**3. Find h such that x(h) = 0.
2
Suppose -2*i + 18 = -4*q, -5*i - 25*q + 27 = -29*q. Factor 1/2 + 1/4*k - 1/4*k**i - 1/2*k**2.
-(k - 1)*(k + 1)*(k + 2)/4
Let c(v) be the first derivative of -2*v**6/3 - 24*v**5/5 - 11*v**4 - 8*v**3/3 + 24*v**2 + 32*v - 2. Determine n, given that c(n) = 0.
-2, -1, 1
Suppose 4*u + 9 - 17 = 0. Let s(n) be the second derivative of 2/3*n**3 - n + 11/6*n**4 + 7/15*n**6 + 8/5*n**5 + 0 + 0*n**u. Factor s(x).
2*x*(x + 1)**2*(7*x + 2)
Let l(p) be the second derivative of p**6/90 + 3*p**5/20 + 3*p**4/4 + 3*p**3/2 + 9*p. Suppose l(f) = 0. What is f?
-3, 0
Let a be (-12)/(-8) - 51/42. Factor 0*n + a*n**2 + 0.
2*n**2/7
Let y(n) = -3*n**3 - 8*n - 9. Let x be y(-1). Factor -2/9*f**x - 16/9*f - 32/9.
-2*(f + 4)**2/9
Suppose -3*v = -6*v + 27. Let c be 136/36 - (-2)/v. Factor 2 - 4*y**4 - 2*y**c - 7*y + y + 4*y**3 + 4*y**2 + 2*y**5.
2*(y - 1)**4*(y + 1)
Let n = 2/23 - -17/69. Let d(j) be the second derivative of 1/24*j**4 + 0 + j**2 - 2*j + n*j**3. Factor d(o).
(o + 2)**2/2
Factor 3*r - 5*r - 14*r**2 - 1 + 13*r**2.
-(r + 1)**2
Let h(r) be the third derivative of -r**6/240 - r**5/120 + r**4/24 + 7*r**2. Factor h(p).
-p*(p - 1)*(p + 2)/2
Let l = 26 + -28. Let y be l/(-3) - (-12)/(-18). Solve 1/4*v**5 + 0*v + 0*v**2 + 0 + y*v**3 - 1/4*v**4 = 0.
0, 1
Let n(a) = -a**3 + 8*a**2 + a + 7. Let u be n(8). Let s be 8/u - 7/35. Solve 1/3*c - 1/3*c**3 + 0 - s*c**2 + 1/3*c**4 = 0 for c.
-1, 0, 1
Let s = -2119 + 2121. Suppose 3*m = 12 - 0. Factor 6/5*r**s + 0 - 21/5*r**m - 3*r**3 + 0*r.
-3*r**2*(r + 1)*(7*r - 2)/5
Suppose 7*d = 2*d - 10, 5*d = -2*q - 14. Let b be (0/q)/(-2 + 1). Solve 0 + b*x**2 - 4/3*x**4 - 2*x**3 + 2/3*x = 0.
-1, 0, 1/2
Suppose -3*h - 4*s - 2 = -7, 2*h + 5*s - 1 = 0. Determine z, given that -z**3 - h*z**2 + 0*z - 2*z + 0*z**2 = 0.
-2, -1, 0
Let i(p) be the third derivative of -p**5/480 - p**4/64 - 6*p**2. Factor i(n).
-n*(n + 3)/8
Let q(t) be the first derivative of t**8/672 + t**7/420 - t**6/240 - t**5/120 + 2*t**2 + 3. Let x(l) be the second derivative of q(l). Factor x(j).
j**2*(j - 1)*(j + 1)**2/2
Let j be 242/60 - (-42 - -46). Let f(q) be the second derivative of 0 + 0*q**2 + j*q**4 + 1/30*q**3 + q + 1/100*q**5. Let f(m) = 0. Calculate m.
-1, 0
Let u(i) = 8*i**2 - 2*i + 6. Let z(g) = 0*g**2 - g**2 - 3*g**2 - 17 - 19*g**2 + 5*g. Let v(t) = 17*u(t) + 6*z(t). Factor v(j).
-2*j*(j + 2)
Factor 71*s**3 - s**4 - 67*s**3 - s**2 + 2*s**2 - 4*s.
-s*(s - 4)*(s - 1)*(s + 1)
Find o such that 24*o + 1 - 3*o**2 - 1 - 23 - 25 = 0.
4
Let m = 22 + -22. Let x(o) be the first derivative of 4/15*o**5 - 5/12*o**4 + 0*o + m*o**2 + 1/9*o**3 + 1. Find v, given that x(v) = 0.
0, 1/4, 1
Suppose -4*j = 176 - 32. Let q = 110/3 + j. Factor 2/3*c**2 - 2*c**3 - q + 2*c.
-2*(c - 1)*(c + 1)*(3*c - 1)/3
Let d = -15 + 11. Let a be (5 - 3)*(-6)/d. Determine l, given that 1/5 + l + 7/5*l**2 + 3/5*l**a = 0.
-1, -1/3
Let y(a) be the first derivative of -a**7/840 + a**6/240 - a**4/48 + a**3/24 + a**2/2 - 3. Let s(u) be the second derivative of y(u). Factor s(h).
-(h - 1)**3*(h + 1)/4
Let i(a) be the second derivative of -2*a + 0*a**2 - 1/10*a**5 + 0*a**4 + 0 + 1/3*a**3. Factor i(d).
-2*d*(d - 1)*(d + 1)
Suppose x + 4 = 2*x. Suppose f + x*f - 20 = 0. Let -7*u - 8*u - 21*u**2 + 20*u**3 + 25*u**f - 4 - 5*u = 0. Calculate u.
-1, -2/5, 1
Let h(g) = -64*g**3 - 91*g**2 - 41*g - 14. Let q(v) = -32*v**3 - 45*v**2 - 21*v - 8. Let f(a) = 3*h(a) - 5*q(a). Factor f(m).
-2*(m + 1)*(4*m + 1)**2
Let h = -2 - -2. Let x = 2 - h. Solve -5*p + 2*p + 2*p + 5*p**x = 0 for p.
0, 1/5
Let o = 2/83 - -409/249. Determine n so that 1/3*n**4 - 8/3 + o*n**3 + 2*n**2 - 4/3*n = 0.
-2, 1
Let g(x) be the second derivative of -x + 0 + 2*x**3 + 0*x**2 + 3/20*x**5 - x**4. Factor g(i).
3*i*(i - 2)**2
Let w(j) be the third derivative of j**6/180 + j**5/90 - j**4/36 - j**3/9 + 24*j**2. Factor w(t).
2*(t - 1)*(t + 1)**2/3
Let b(y) be the third derivative of y**10/15120 + y**9/3780 - y**7/630 - y**6/360 + y**4/8 - 9*y**2. Let x(s) be the