 2*c**2/5 - 3. Determine k so that b(k) = 0.
-2, -1, 0, 1
Suppose 12*v - 29*v = -68. Factor -2/7 - 14*a**2 - v*a.
-2*(7*a + 1)**2/7
Let j(x) = -6*x**3 + 4*x**2 - 5. Let v(s) = -s**3 + s**2 - 1. Let f(i) = j(i) - 5*v(i). Factor f(y).
-y**2*(y + 1)
Let y(x) be the first derivative of x**4/8 + x**3/3 - x**2/4 - x + 5. Let y(q) = 0. Calculate q.
-2, -1, 1
Let d(f) = -f + 8. Let h be d(5). Factor -2/7*c + 4/7*c**2 + 0 - 2/7*c**h.
-2*c*(c - 1)**2/7
Let z(m) be the third derivative of -m**8/168 - 8*m**7/315 - m**6/45 - 11*m**2. Solve z(s) = 0.
-2, -2/3, 0
Let m be ((-1)/220)/((-10)/16). Let d = m - -2744/825. Solve 8*k**4 + d*k**5 - 20/3*k**2 - 6*k + 8/3*k**3 - 4/3 = 0 for k.
-1, -2/5, 1
Let b(o) be the third derivative of -o**9/15120 - o**8/3360 + o**6/360 + o**5/120 - o**4/12 + 3*o**2. Let k(r) be the second derivative of b(r). Factor k(m).
-(m - 1)*(m + 1)**3
Factor 0*b + b**4 - b**2 - 6*b**3 + b + 5*b**3.
b*(b - 1)**2*(b + 1)
Let m(g) be the first derivative of g**5 + 5*g**4/4 - 5*g**3 - 5*g**2/2 + 10*g - 29. Let m(p) = 0. What is p?
-2, -1, 1
Let w(l) be the first derivative of l**4/12 - l**2/6 + 1. Find z such that w(z) = 0.
-1, 0, 1
Let k(q) = 3*q. Let y(n) = n**3 + n**2 + 4*n. Let f(j) = 4*k(j) - 3*y(j). Factor f(u).
-3*u**2*(u + 1)
Factor 4/5*i - 8/5*i**3 + 14/5*i**2 + 0.
-2*i*(i - 2)*(4*i + 1)/5
Let w(o) be the first derivative of 3/2*o**2 + 1/3*o**3 + 2*o + 3. Factor w(d).
(d + 1)*(d + 2)
Let g(m) = -4*m**5 - 6*m**4 - 4*m**3 - 2*m - 2. Let v(z) = -z**5 - z**4 - z**3 - z - 1. Let c(w) = -g(w) + 2*v(w). Let c(f) = 0. What is f?
-1, 0
Let f be 1/(-2)*(-7856)/11528. Let o = 3/131 + f. Let o + 10/11*l - 8/11*l**4 - 8/11*l**3 + 4/11*l**2 - 2/11*l**5 = 0. What is l?
-2, -1, 1
Let x(w) be the second derivative of 9/20*w**4 - 3*w + 3/100*w**5 + 81/10*w**2 + 27/10*w**3 + 0. Factor x(p).
3*(p + 3)**3/5
Let s(r) be the first derivative of -5*r**3/9 + 25*r**2/6 - 20*r/3 - 48. Suppose s(m) = 0. Calculate m.
1, 4
Suppose -40 = -24*b + 8. Suppose 2/5*s**b - 4/5 - 2/5*s = 0. What is s?
-1, 2
Let j(g) = -8*g**3 - 44*g**2 - 46*g + 46. Let v(q) = -q**3 - 5*q**2 - 5*q + 5. Let t(f) = -6*j(f) + 52*v(f). Suppose t(r) = 0. What is r?
-2, 1, 2
Suppose -8*t - 5*h = -3*t - 5, -2*t + 4*h + 8 = 0. Let z be 0 - ((-16)/(-3))/(-2). Let 4*a**3 - 2/3*a**4 + 8*a - 26/3*a**t - z = 0. Calculate a.
1, 2
Factor -2*i**2 + 147*i - 284*i + 139*i + 4.
-2*(i - 2)*(i + 1)
Let x be (20/(-45))/((-20)/18). Factor 0*s**2 + 2/5 - x*s**4 - 4/5*s + 4/5*s**3.
-2*(s - 1)**3*(s + 1)/5
Let x be (4/(-10))/(-2 + (-14)/(-10)). Let b(t) = t + 6. Let k be b(-6). Factor 2/3*p + k + x*p**2.
2*p*(p + 1)/3
Let s(j) = -j**2 + 8*j + 6. Let h be s(8). Let l be 20/(-5) - (-27)/h. Let -1/2*r**3 + l*r + 0*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Suppose 6*n - 2*n - 12 = 0. Factor -2*q**2 + 3*q**2 + 5*q**2 - n*q**2.
3*q**2
Suppose 4 = -4*v + 4*f, 0 = 4*v - 2*f - 8 + 2. Factor -v*o - 6*o**2 + o + 0*o.
-3*o*(2*o + 1)
Determine y, given that 0 - 1/6*y**2 - 1/6*y = 0.
-1, 0
Let z be -3*(0 + 1/(-1)). Let r(p) = -6 + 2 + z*p - 3*p**2 + 2. Let n(i) = -i**2 + i - 1. Let b(h) = -2*n(h) + r(h). Let b(d) = 0. Calculate d.
0, 1
Factor 1/3*g - 1/3*g**3 + 0 - 1/6*g**2 + 1/6*g**4.
g*(g - 2)*(g - 1)*(g + 1)/6
Let q(v) be the third derivative of 0*v**3 + 2*v**2 + 0*v**5 - 1/525*v**7 + 0*v**4 + 0*v + 0*v**6 + 0. Factor q(t).
-2*t**4/5
Let o(h) be the third derivative of -h**8/1344 + h**6/240 - h**4/96 + 9*h**2. Factor o(j).
-j*(j - 1)**2*(j + 1)**2/4
Let z = 36 + -33. Factor 1/4*d**z + 0*d**2 - 1/2 - 3/4*d.
(d - 2)*(d + 1)**2/4
Let r(b) be the first derivative of -8*b**3/3 + 14*b**2 - 12*b - 10. Factor r(l).
-4*(l - 3)*(2*l - 1)
Let v(j) be the second derivative of -j**4/27 + 14*j**3/27 + 16*j**2/9 + 7*j. Find t such that v(t) = 0.
-1, 8
Let o(k) be the second derivative of -k + 0 + 0*k**3 + 0*k**2 + 1/8*k**4. Factor o(q).
3*q**2/2
Let d(t) be the first derivative of t**3/15 - 2*t**2/5 + 4*t/5 - 5. Determine l so that d(l) = 0.
2
Let i = 87 - 84. Factor 1/3*z**i + 0 - 1/3*z + 0*z**2.
z*(z - 1)*(z + 1)/3
Let v(u) be the third derivative of -u**5/15 + u**4/12 - u**3/24 - 6*u**2. Factor v(p).
-(4*p - 1)**2/4
Let y(o) = -o**2 + 2*o + 3. Let m be y(2). Let x(l) be the second derivative of -l**2 + m*l + 0 + 1/2*l**3 - 1/12*l**4. Let x(a) = 0. Calculate a.
1, 2
Determine i so that 0 + 25/4*i**3 + 15/4*i - 5/4*i**4 - 35/4*i**2 = 0.
0, 1, 3
Let n be (3/10)/(36/24). Let f(p) be the third derivative of 0*p + 0 + n*p**3 - 1/40*p**4 - 1/50*p**5 + 1/200*p**6 - 2*p**2. Let f(h) = 0. What is h?
-1, 1, 2
Let g(c) be the first derivative of -3/5*c**5 + c**3 + 3/4*c**4 + 0*c + 0*c**2 - 7 - 1/2*c**6. Let g(y) = 0. What is y?
-1, 0, 1
Let z(x) be the second derivative of -x**5/10 + x**4/18 + 2*x**3/9 - x. Find l, given that z(l) = 0.
-2/3, 0, 1
Let a(v) be the second derivative of v**4/12 + 5*v**3/6 - 23*v. Factor a(p).
p*(p + 5)
Factor 3*i**3 - 3*i**2 + 0*i**2 + 2*i**3 - 5 - 5*i + 8*i**2.
5*(i - 1)*(i + 1)**2
Let j(l) be the second derivative of -l**6/45 + l**5/30 + l**4/18 - l**3/9 + 2*l. Suppose j(c) = 0. What is c?
-1, 0, 1
Let y be 8/12 - 4/(-3). Solve y*w**4 + 2 - 1 + 6*w**2 - 2*w - 6*w**3 - 1 = 0 for w.
0, 1
Let h(o) be the third derivative of -o**5/12 - 35*o**4/24 + 20*o**3/3 - 10*o**2. Factor h(f).
-5*(f - 1)*(f + 8)
Let k(g) be the second derivative of g**5/4 + 5*g**4/4 - 10*g**2 - 3*g. Factor k(m).
5*(m - 1)*(m + 2)**2
Factor -9*m**3 + 3*m**2 + 3*m**4 - 4*m - 6 + 5*m + 0*m**4 + 8*m.
3*(m - 2)*(m - 1)**2*(m + 1)
Suppose -2*d + 2*h + 10 = -0*h, 2*h = d - 8. Let k(l) be the first derivative of 2/25*l**5 - 1/10*l**4 + 0*l**3 + 0*l**d - 2 + 0*l. Suppose k(p) = 0. What is p?
0, 1
Let v(d) be the third derivative of 27*d**7/175 - 33*d**6/50 + 38*d**5/75 - 2*d**4/15 + 6*d**2. Factor v(r).
2*r*(r - 2)*(9*r - 2)**2/5
Let i(h) = 0*h + 40*h**3 + 14*h + 140*h**3 - 112*h**2. Let d(k) = 180*k**3 - 112*k**2 + 13*k. Let w(l) = 2*d(l) - 3*i(l). Factor w(o).
-4*o*(5*o - 2)*(9*o - 2)
Let s(y) be the first derivative of 2*y**6/3 - 4*y**5 + 9*y**4 - 28*y**3/3 + 4*y**2 - 11. Let s(u) = 0. What is u?
0, 1, 2
Find v, given that -1/2*v**4 + 1/2*v**3 + 0*v**2 + 0 + 0*v = 0.
0, 1
Suppose -5*a + 23 = 4*s, 4*s + 5 = 4*a + 1. Factor -9*c**3 - c**4 + c + c**2 + a*c**3 + 5*c**3.
-c*(c - 1)*(c + 1)**2
Let n(b) be the first derivative of b**7/56 - b**6/30 + b**5/80 + 6*b - 4. Let g(d) be the first derivative of n(d). Let g(c) = 0. What is c?
0, 1/3, 1
Let d(n) = -n**3 + n**2 + n. Let f = 5 + -4. Let c(o) = -5*o**3 + 3*o**2 + 4*o. Let b(r) = f*c(r) - 4*d(r). Solve b(g) = 0 for g.
-1, 0
Let w(a) = -14*a + 616. Let u be w(44). Solve -2/3*j**2 + u - 4/3*j = 0.
-2, 0
Determine q so that 2/13*q + 2/13*q**4 + 0 - 2/13*q**2 - 2/13*q**3 = 0.
-1, 0, 1
Factor -30 + 15*p**2 - 54*p**4 + 102*p**4 - 15*p**3 - 53*p**4 + 35*p.
-5*(p - 1)**2*(p + 2)*(p + 3)
Factor 11*c - c + 0*c**2 + 348*c**3 + 2*c**2 - 350*c**3 + 6.
-2*(c - 3)*(c + 1)**2
Suppose d - 5*q - 9 = 0, 3*d + 0*q - 8 = -4*q. Let d*c**2 - 2*c + 1/4 = 0. What is c?
1/4
Let 0*z**3 + 0*z**2 + 2/3*z**5 + 0*z + 0 - 2/3*z**4 = 0. What is z?
0, 1
Let w(z) be the third derivative of z**8/40320 + z**7/10080 - z**6/720 - z**5/60 - z**2. Let f(b) be the third derivative of w(b). Factor f(d).
(d - 1)*(d + 2)/2
Let g = -7 - -7. Factor 2/7*k**5 + 2/7*k**4 + g*k**2 + 0*k + 0 - 4/7*k**3.
2*k**3*(k - 1)*(k + 2)/7
Let t = -4 + 6. Let n be (t - (-9)/(-6))*4. Let 2*r**2 + 2 + r - 3*r**n - r**2 + r**2 = 0. Calculate r.
-1, 2
Let m(i) = 2*i**2 - i**2 - 1 - 2*i**2 - i + 2*i. Let c = -1 + 0. Let s(u) = 7*u**2 - 9*u + 8. Let g(q) = c*s(q) - 6*m(q). Factor g(w).
-(w - 2)*(w - 1)
Let c(q) = 5*q**2 + q - 3. Let f(t) = -4*t**2 - t + 2. Let z(v) = 4*c(v) + 6*f(v). Find n, given that z(n) = 0.
-1/2, 0
Let w(b) = -10*b - 38. Let o be w(-4). Factor 0 + 2/5*x**3 + 2/5*x - 4/5*x**o.
2*x*(x - 1)**2/5
Let z be 3 - ((-1)/1 - -1). Factor -w + w**3 - w**2 + 0*w**z + 0*w**3 + 2*w**2 - 1.
(w - 1)*(w + 1)**2
Let v(n) be the first derivative of -6*n - 9/4*n**4 + 9/2*n**2 - 3 + 2*n**3. Factor v(j).
-3*(j - 1)*(j + 1)*(3*j - 2)
Suppose 12*n = 6*n. Find f, given that 2/5*f**2 - 2/5*f**3 + 2/5*f**5 + n*f - 2/5*f**4 + 0 = 0.
-1, 0, 1
Suppose n - 3 = -3*a, -a = -3*a + n + 7. Let p = 1/25 + 14/25. Solve -p*i**3 + 0*i**a + 0 + 3/5*i = 0 for i.
-1, 0, 1
Let b(x) be the third derivat