 4*g**2 + 3*g**p + 1/2 = 0.
-1, 1/3, 1
Let b(c) be the second derivative of c**4/24 - c**3/6 - 3*c**2/4 + 6*c. Solve b(a) = 0 for a.
-1, 3
Suppose -11*d - 6 = -13*d. Let o(l) be the second derivative of 1/4*l**2 - 1/24*l**d - 1/48*l**4 + 0 - 3*l. Suppose o(y) = 0. Calculate y.
-2, 1
Factor 8/7 - 5/7*l**3 + 4/7*l - 6/7*l**2 - 1/7*l**4.
-(l - 1)*(l + 2)**3/7
Determine c so that 3/5*c**3 + 3/5*c**5 + 0*c + 0 + 0*c**2 - 6/5*c**4 = 0.
0, 1
Let k be (-1 + 1)/((16/(-4))/(-4)). Suppose -1/2*u**2 - u + k = 0. What is u?
-2, 0
Let r(j) be the second derivative of j**7/525 + j**6/150 - j**4/30 - j**3/15 - 3*j**2/2 + 2*j. Let x(y) be the first derivative of r(y). Factor x(o).
2*(o - 1)*(o + 1)**3/5
Let c(q) be the first derivative of 7*q**4/4 - 7*q**3/3 - 9*q**2/2 + 5*q + 6. Let g(o) = 3*o**3 - 3*o**2 - 4*o + 2. Let v(x) = -4*c(x) + 10*g(x). Factor v(r).
2*r*(r - 2)*(r + 1)
Suppose -5*v + 28 = 3*d, 4*d + 6 + 15 = 5*v. Suppose -2*u + v = 1. Factor -2/5 - 4/5*p - 2/5*p**u.
-2*(p + 1)**2/5
Determine z so that 102*z**2 - 109 + z**5 - 4*z**5 - 36*z**4 + 252*z - 99*z**3 - 107 = 0.
-6, -2, 1
Find b, given that 92*b**2 + 15*b - 18*b**2 + 6*b**2 - 46*b**4 + 85*b**3 + 66*b**4 = 0.
-3, -1, -1/4, 0
Suppose 6*p + 10 = -3*s + 11*p, -15 = -3*p. Let f be 4/6 + (-4)/(-21). Solve 2/7*a + 8/7*a**2 + 0 - 8/7*a**4 - 8/7*a**s + f*a**3 = 0 for a.
-1, -1/2, 0, 1
Let u = -37 + 42. Let w(a) = -a + 9. Let n be w(4). Factor -b**5 - u*b**2 + 3*b**2 + 6*b**3 + 5*b**n - 6*b**4 - 2*b**5.
2*b**2*(b - 1)**3
Solve 1/3*f**4 + 4*f - f**3 - 8/3 - 2/3*f**2 = 0.
-2, 1, 2
Let c(i) be the third derivative of i**8/672 + i**7/420 - i**6/80 - i**5/120 + i**4/24 - i**2 + 7*i. Factor c(p).
p*(p - 1)**2*(p + 1)*(p + 2)/2
Let k be 2 - (684/32)/9. Let b = k - -25/24. Find i such that -2/3*i**5 + 0 + 0*i**4 + b*i**3 + 0*i**2 + 0*i = 0.
-1, 0, 1
Let g = -48 - -52. Let v(c) be the first derivative of -5/12*c**g - 1 + 1/3*c**3 + 1/3*c**2 + 0*c. Factor v(i).
-i*(i - 1)*(5*i + 2)/3
Let l = -60 - -64. Find r such that -4/5*r**l - 14/5*r**5 - 4/5 - 14/5*r + 28/5*r**3 + 8/5*r**2 = 0.
-1, -2/7, 1
Suppose g + 8*g = 12*g. Factor 1/4*l + 3/4*l**3 + g + 1/4*l**4 + 3/4*l**2.
l*(l + 1)**3/4
Let c(h) be the first derivative of h**6/18 - 38. Solve c(b) = 0 for b.
0
Let q(z) = 7*z + 52. Let j be q(-7). Let h(n) be the first derivative of 2/21*n**j + 0*n - 2 - 2/7*n**2. Suppose h(a) = 0. What is a?
0, 2
Let h(x) be the first derivative of x**7/42 + x**6/30 - x**5/20 - x**4/12 - x - 2. Let y(o) be the first derivative of h(o). Factor y(m).
m**2*(m - 1)*(m + 1)**2
Suppose j = -4*p + 1 + 1, 5*j - 10 = 4*p. Factor 1/3 - 2/3*b + 1/3*b**j.
(b - 1)**2/3
Factor -40*h**5 + h**2 - 5 - 51*h**4 - 191*h**2 - 60*h - 260*h**3 - 114*h**4.
-5*(h + 1)**4*(8*h + 1)
Let r(s) be the second derivative of -s**7/98 - s**6/70 + 3*s**5/70 + s**4/14 - s**3/14 - 3*s**2/14 + 9*s. Factor r(f).
-3*(f - 1)**2*(f + 1)**3/7
Let f = 324 - 322. Determine c so that 4/7*c + 0*c**f - 4/7*c**3 - 2/7 + 2/7*c**4 = 0.
-1, 1
Determine d so that -8*d + 200/3*d**4 + 212/3*d**2 + 170*d**3 - 16/3 = 0.
-2, -2/5, 1/4
Factor 0 - 12/7*w**2 - 8/7*w**4 + 18/7*w**3 + 2/7*w.
-2*w*(w - 1)**2*(4*w - 1)/7
Let d(k) = 3*k**2 + 5*k - 17. Let v(f) = -10*f**2 - 14*f + 52. Let a(r) = -16*d(r) - 5*v(r). Determine y so that a(y) = 0.
2, 3
Let b(a) be the third derivative of a**8/672 - a**7/105 - a**6/20 + 4*a**5/15 + 4*a**4/3 - 20*a**2. Solve b(q) = 0.
-2, 0, 4
Let y(c) = -5 + 3*c**2 - 9*c**2 + c**3 + 3*c + 3*c. Let u be y(5). Factor 0 + 2/3*n**3 - 2/3*n**2 + u*n.
2*n**2*(n - 1)/3
Let v(f) be the third derivative of f**9/332640 - f**8/110880 + 7*f**5/60 - 5*f**2. Let r(y) be the third derivative of v(y). Find l, given that r(l) = 0.
0, 1
Let x = 137/2 - 67. Let h = 31/2 - 15. What is p in x*p**3 - p + 0 + h*p**2 = 0?
-1, 0, 2/3
Let d(r) = r**5 + 2*r**2 - r + 6. Let f(j) = j**5 + j**4 - j**3 + 2*j**2 + 7. Let s(q) = -5*d(q) + 4*f(q). Factor s(c).
-(c - 2)*(c - 1)**3*(c + 1)
Let k(s) = -s**2 + s. Let p(m) = 3 - 2*m - 3 + m**2 + m. Let o(q) = -4*k(q) - 3*p(q). What is b in o(b) = 0?
0, 1
Let r(c) be the first derivative of 3 + 8*c**2 - 4*c**3 - 2*c**4 + 16*c + 4/5*c**5. Determine l, given that r(l) = 0.
-1, 2
Let b(f) be the first derivative of f**6/3 + 23*f**5/15 + 7*f**4/3 + 13*f**3/9 + f**2/3 - 16. Let b(p) = 0. What is p?
-2, -1, -1/2, -1/3, 0
Let i(b) = 6*b**3 + 2*b**2 + 4*b - 4. Let y(w) = w**3 + w**2 + w - 1. Let m be (2 + -1)*-2*2. Let v(s) = m*y(s) + i(s). Factor v(j).
2*j**2*(j - 1)
Let o be 2/1 - (5 - (12 + -9)). Factor 2/7*s**5 - 2/7*s + 4/7*s**4 - 4/7*s**2 + 0 + o*s**3.
2*s*(s - 1)*(s + 1)**3/7
Let i(h) be the third derivative of h**10/12600 + h**9/3360 - h**8/1792 + h**7/3360 + h**5/15 - 8*h**2. Let g(x) be the third derivative of i(x). Factor g(w).
3*w*(w + 2)*(4*w - 1)**2/4
Suppose 5*p - 29 = -14. Factor -d**3 - d**p - 2*d + 4*d.
-2*d*(d - 1)*(d + 1)
Let v be ((-380)/6)/((-6)/9). Determine u, given that -72*u**3 - 1 - u - 11 - 75*u**3 - v*u - 231*u**2 = 0.
-1, -2/7
Let w(r) be the first derivative of 0*r**2 + 1/10*r**5 - 2 + 0*r - 1/6*r**6 - 1/6*r**3 + 1/4*r**4. Suppose w(v) = 0. Calculate v.
-1, 0, 1/2, 1
Let z be (-1 + 5)/4 - -5. Find c such that -z*c**3 - c**5 - c**5 + 6*c**4 - 4*c**4 + 2*c**2 + 4*c**4 = 0.
0, 1
Let z(h) = h**2 + 8*h - 5. Let s be z(-9). Suppose -s*w + 12 = -w. Factor 3*i**w - 4*i**3 + 7*i**3 + 3*i**2 - 9*i**3.
3*i**2*(i - 1)**2
Let o(g) be the second derivative of -g**4/42 + g**2/7 + 6*g. Let o(k) = 0. What is k?
-1, 1
Let a be 8/(-5)*6/(-24). Let u = 154/5 + -30. Factor u*x + 2/5*x**2 + a.
2*(x + 1)**2/5
Solve 64*t**2 - 19*t - 12*t**5 - 35*t**3 - 57*t**3 + 3*t + 56*t**4 = 0 for t.
0, 2/3, 1, 2
Let c(q) be the second derivative of 0*q**2 + 0*q**3 + 1/90*q**6 - 6*q + 1/60*q**5 + 0 - 1/126*q**7 - 1/36*q**4. Solve c(a) = 0.
-1, 0, 1
Let t be 6/9 + (-129)/(-54) + -3. Let p(c) be the first derivative of -1 - t*c**3 - 1/3*c**2 - 2/3*c. Factor p(a).
-(a + 2)**2/6
Let c(d) = -d**3 - d**2 + d - 1. Let n(b) = b**4 - 2*b**3 - 4*b**2 + 2*b - 7. Let v(m) = 10*c(m) - 2*n(m). Let v(k) = 0. What is k?
-2, -1, 1
Let a(g) be the first derivative of 1 - 4/5*g**2 + 2/15*g**3 + 8/5*g. Let a(m) = 0. Calculate m.
2
Factor -25/3 - 10/3*h - 1/3*h**2.
-(h + 5)**2/3
Factor 3/4*s + 1/4*s**2 + 1/2.
(s + 1)*(s + 2)/4
Let u(d) be the first derivative of 2/45*d**5 + 0*d + 2/27*d**6 - 1/18*d**4 - 3 + 0*d**3 + 0*d**2. Factor u(t).
2*t**3*(t + 1)*(2*t - 1)/9
Let n = -167/4 + 42. Let t(c) be the first derivative of -n*c**4 + 0*c**2 + 0*c - 3 - 1/5*c**5 + 2/3*c**3. Let t(q) = 0. Calculate q.
-2, 0, 1
Suppose 4*t + 39 - 55 = 0. Solve 0 - 3*c**t + 6/5*c**5 - 3/5*c**2 + 0*c + 12/5*c**3 = 0 for c.
0, 1/2, 1
Let s(f) be the first derivative of -f**6/12 - 3*f**5/20 + f**4/16 + f**3/4 + f**2/8 - 6. Suppose s(i) = 0. Calculate i.
-1, -1/2, 0, 1
Let t(v) = 4*v**5 + 14*v**4 + 4*v**3 - 10*v**2 - 10*v. Let z(a) = 4*a**5 + 15*a**4 + 4*a**3 - 9*a**2 - 11*a. Let c(s) = -3*t(s) + 2*z(s). What is f in c(f) = 0?
-2, -1, 0, 1
Let y(s) be the third derivative of -s**8/1680 - s**7/420 - s**6/360 + s**3/2 + 4*s**2. Let w(n) be the first derivative of y(n). Suppose w(z) = 0. Calculate z.
-1, 0
Let d be 12/(-16)*30/27. Let v = d - -4/3. Determine y so that 2 + v*y**2 - 2*y = 0.
2
Suppose 0 = -4*q + 12 - 4. Let c(b) be the first derivative of 98/3*b**3 - 28*b**q + 8*b + 2. Solve c(d) = 0 for d.
2/7
Suppose 11 + 1 = 3*n. Suppose 42 = n*m + 2. Factor m*p**2 + 2*p**4 - 14*p**3 - 2*p + 0*p**4 + 4*p**4.
2*p*(p - 1)**2*(3*p - 1)
Let t(a) be the third derivative of 0 - 2/525*a**7 - 1/840*a**8 + 1/60*a**4 + a**2 + 0*a**3 + 0*a**6 + 1/75*a**5 + 0*a. Factor t(n).
-2*n*(n - 1)*(n + 1)**3/5
Suppose 3*c + 3*w + 6 = 0, -26 = -3*c + 4*c - 5*w. Let j = -23/4 - c. Factor 8*v + 2*v**3 - j*v**4 - 4 - 6*v**2.
-(v - 2)**4/4
Suppose -4*u + 2*u = -6. Suppose -u*a + 4*s = -25, s + 19 = a - 3*s. Find m such that -3*m + a*m + 2*m**3 - 2*m**2 - 2*m + 2*m**4 = 0.
-1, 0, 1
Let k(l) be the second derivative of -l**6/150 + 3*l**5/100 - l**4/20 + l**3/30 + 43*l. Let k(b) = 0. What is b?
0, 1
Let r be (0 + 24)/3*1. Let y be 2/(-4) - (-4)/r. Factor a**4 + a**3 + 2*a**2 + y*a**3 + 2*a**3.
a**2*(a + 1)*(a + 2)
Let f(p) be the first derivative of -p**5/15 - p**4/6 + p**2/3 + p/3 + 2. Factor f(x).
-(x - 1)*(x + 1)**3/3
Find d, given that 3/7*d - 5/7