7/2*l**2 + 5 - 1/5*l**5 - 3*l**3 - 5/4*l**4 - 2*l. Factor f(u).
-(u + 1)**3*(u + 2)
Let 19*p + 3*p**3 - 3*p**2 - 19*p = 0. What is p?
0, 1
Suppose c - 2*n - 1 = 0, 4*n - 1 = -5*c + 32. Suppose -c*w + 3 = -2. Let q(p) = -p**2 + p + 4. Let l(i) = 1. Let k(d) = w*q(d) - 4*l(d). Factor k(m).
-m*(m - 1)
Suppose -11 - 13 = 3*f. Let i be 2/(-5) + f/(-20). Factor z**2 + i + 8*z + z**2 + 8.
2*(z + 2)**2
Let p = 8/7 - 4/7. Let y = -41/18 - -683/126. Solve 2*c + p - 40/7*c**2 + y*c**3 = 0 for c.
-2/11, 1
Let a(p) = p**3 + p + 1. Let c(g) = -7*g**3 - 16*g**2 + 9*g + 13. Let k(r) = 5*a(r) - c(r). Factor k(t).
4*(t + 1)**2*(3*t - 2)
Let n(i) be the first derivative of i**4/4 + 8*i**3/3 + 8*i**2 - 19. Factor n(k).
k*(k + 4)**2
Let 0 + 10/7*o**2 - 2/7*o = 0. What is o?
0, 1/5
Let y be 13/(39/18) + -1. Suppose -y*v = f - 27, 5*v = -0*v + 25. Factor -4/5 + 22/5*d - 18/5*d**f.
-2*(d - 1)*(9*d - 2)/5
Find t such that -2/5*t**2 + 2/5*t**4 + 0 + 0*t**3 + 0*t = 0.
-1, 0, 1
Find r, given that -9/4*r**2 + 0*r + 3/4*r**3 + 3 = 0.
-1, 2
Suppose -5*d + 8 - 23 = 0. Let b(l) = 4*l**3 + 2*l**2 - 2*l. Let g(v) = v**4 + 5*v**3 + 2*v**2 - 2*v. Let m(s) = d*b(s) + 2*g(s). Factor m(f).
2*f*(f - 1)**2*(f + 1)
Suppose -2*o + 21 = -19. Suppose 5*d = -0*d + o. Find r such that -1/4*r**2 + 1/4*r + 0 - 3/4*r**d - 5/4*r**3 = 0.
-1, 0, 1/3
Let t be (-6)/(-2) + 1356/(-380). Let m = -7/19 - t. Factor m*p**2 + 48/5*p**4 + 0 + 0*p - 64/5*p**5 - 12/5*p**3.
-p**2*(4*p - 1)**3/5
Let b be (10 - 8)*(-1)/(-54). Let t(j) be the third derivative of -1/54*j**4 - 1/270*j**5 + 0 - b*j**3 + 3*j**2 + 0*j. Let t(y) = 0. What is y?
-1
Let j(w) be the third derivative of -w**7/1260 - w**6/240 - w**5/120 - w**4/144 - 3*w**2. Determine d, given that j(d) = 0.
-1, 0
Let b(x) be the first derivative of x**5/240 - x**4/48 + x**3/24 + 5*x**2/2 - 2. Let z(j) be the second derivative of b(j). Find w such that z(w) = 0.
1
Let a be 6*(-20)/(-126)*6/10. Factor 2/7 - a*r**3 - 2/7*r**5 + 4/7*r**2 - 6/7*r**4 + 6/7*r.
-2*(r - 1)*(r + 1)**4/7
Let w(r) be the third derivative of -r**6/240 + r**5/8 - 25*r**4/16 + 125*r**3/12 - 10*r**2. Suppose w(f) = 0. Calculate f.
5
Let y(u) be the first derivative of 0*u + 1/8*u**2 - 1/12*u**3 - 1. Suppose y(f) = 0. Calculate f.
0, 1
Let m(k) = k**2 - 8*k + 3. Let p(a) = a**2 - 9*a + 3. Let j = 14 + -18. Let v(h) = j*p(h) + 5*m(h). What is n in v(n) = 0?
1, 3
Let y(j) = 57*j**4 + 96*j**3 + 153*j**2 + 48*j + 33. Let s(v) = 7*v**4 + 12*v**3 + 19*v**2 + 6*v + 4. Let p(u) = 33*s(u) - 4*y(u). Factor p(x).
3*x*(x + 1)**2*(x + 2)
Let g be ((-7)/22 - -1) + (-6)/33. Find l such that 0 + g*l + l**2 + 2*l**4 - 7/2*l**3 = 0.
-1/4, 0, 1
Let y(t) = t**4 - t**3 - t**2 + t. Let q(x) = 8*x**4 - 12*x**3 - 4*x**2 + 12*x - 4. Let p(d) = q(d) - 4*y(d). Factor p(m).
4*(m - 1)**3*(m + 1)
Let a be 4 - (-1 + -4)/(-5). Let b(y) be the first derivative of -a + 1/15*y**6 + 2/15*y**3 + 0*y - 1/10*y**4 - 2/25*y**5 + 0*y**2. Solve b(g) = 0 for g.
-1, 0, 1
Suppose -23*b = -25*b. Let b*f + 0 + 2/7*f**5 - 2/7*f**2 + 2/7*f**4 - 2/7*f**3 = 0. Calculate f.
-1, 0, 1
Let c(t) be the third derivative of -t**6/780 - t**5/10 - 13*t**4/4 - 169*t**3/3 + 36*t**2. Factor c(u).
-2*(u + 13)**3/13
Let o = 55/133 + 3/19. Factor 0*c**3 + 0 + 2/7*c**5 - 2/7*c + o*c**4 - 4/7*c**2.
2*c*(c - 1)*(c + 1)**3/7
Let i(m) be the first derivative of 3*m**6/40 - m**5/10 + m**4/18 + 7*m**3/3 - 4. Let u(c) be the third derivative of i(c). Find k such that u(k) = 0.
2/9
Let p(k) be the first derivative of k**9/7560 - k**7/700 + k**6/450 + 2*k**3 - 3. Let f(b) be the third derivative of p(b). Solve f(m) = 0.
-2, 0, 1
Let x(f) be the third derivative of -f**5/330 + f**4/33 - 4*f**3/33 - 9*f**2. Factor x(v).
-2*(v - 2)**2/11
Suppose 0 = -c + 13 - 5. Find p such that -6*p**5 - 4*p**3 + 2*p**5 + p + c*p**4 - p = 0.
0, 1
Factor -15*g + 75/2 + 3/2*g**2.
3*(g - 5)**2/2
What is k in 9/2 + 1/2*k**2 + 3*k = 0?
-3
Let f(i) be the first derivative of i**3/3 + 6*i**2 + 11*i - 26. Factor f(z).
(z + 1)*(z + 11)
Let j be (-87)/(-12) + 2/(-8). Suppose 0 = 3*v - j*v + 16. Factor -z**3 + 2*z**4 - 7*z**v + z**2 + 3*z**4.
-z**2*(z + 1)*(2*z - 1)
Let n(u) be the first derivative of -3*u**5/25 - 3*u**4/10 - u**3/5 - 6. Suppose n(q) = 0. Calculate q.
-1, 0
Let k(z) = 3*z**2 + 3*z + 3. Let a be k(-2). Let h = a - 6. Factor h*g**3 - 1 - g**2 - 4*g + g - g**4 + 3.
-(g - 2)*(g - 1)**2*(g + 1)
Let f(s) be the second derivative of 7*s**5/5 - 10*s**4/3 + 2*s**3 + 38*s. Factor f(d).
4*d*(d - 1)*(7*d - 3)
Let d(q) be the second derivative of q**8/504 + 3*q**2/2 - 2*q. Let p(w) be the first derivative of d(w). Factor p(j).
2*j**5/3
Suppose -2*t = -2*d + 6, 5*t + 0*t + 3*d = 9. Suppose 0 = -t*c - 2*c. Let -2/7*l**4 - 2/7*l**5 + 2/7*l**2 + 0*l + c + 2/7*l**3 = 0. Calculate l.
-1, 0, 1
Let -4/7*m + 0 - 2/7*m**3 + 6/7*m**2 = 0. Calculate m.
0, 1, 2
Let i(q) be the first derivative of 1/4*q + 1/12*q**3 - 1/4*q**2 + 4. Factor i(c).
(c - 1)**2/4
Suppose -4*j - 2 = 6. Let t(g) = 3*g**4 + 2*g**2 - 2*g - 3. Let f(y) = y**4 - y**3 + y**2 - 1. Let x(o) = j*f(o) + t(o). What is i in x(i) = 0?
-1, 1
Let o(m) be the first derivative of 2/3*m**3 - 2*m + 0*m**2 - 4. Determine l so that o(l) = 0.
-1, 1
Let i(k) = -32*k**5 + 52*k**4 + 8*k**3 - 28*k**2. Let f(m) = -13*m**5 + 21*m**4 + 3*m**3 - 11*m**2. Let w(o) = -12*f(o) + 5*i(o). What is j in w(j) = 0?
-1, 0, 1, 2
Let o(t) be the second derivative of t**4/12 + t**3/24 - 3*t**2/8 - 2*t. Factor o(k).
(k + 1)*(4*k - 3)/4
Factor -1/6*h**3 + 5/6*h**2 - 2/3*h + 0.
-h*(h - 4)*(h - 1)/6
Let k = -1/224 - -1795/672. Let l(o) = 3*o + 1. Let u be l(1). Find z such that k*z + 0 + 74/3*z**3 + 20*z**u + 40/3*z**2 + 6*z**5 = 0.
-1, -2/3, 0
Let q(i) = 3*i**2 - 4*i - 4. Let r be q(-1). Suppose 0*x**2 - 1/4*x**r + 0*x + 0 = 0. What is x?
0
Let m = 89/68 - 18/17. Let y be ((-2)/(-24))/(41/369). Factor 0 - 3/4*k**2 - m*k - 1/4*k**4 - y*k**3.
-k*(k + 1)**3/4
Suppose -3/2*j**4 - 1/2*j**5 - 1/2*j**3 + j + 3/2*j**2 + 0 = 0. What is j?
-2, -1, 0, 1
Suppose 2*g + 3 = -2*f - 3, -g = -2*f - 6. Let w(l) be the third derivative of 0*l + l**2 + 1/24*l**4 + g + 0*l**3 + 1/60*l**5. Factor w(t).
t*(t + 1)
Let z(m) = m + 15. Suppose 5*s - 70 = 5*i, 0*i + s + 46 = -4*i. Let v be z(i). Let -1/6*j + 0 - 1/3*j**2 - 1/6*j**v = 0. What is j?
-1, 0
Let h be 0/((1 - -2)*1). Let g(r) be the second derivative of 2*r - 5/18*r**4 - 8/9*r**3 + h - 4/3*r**2 - 1/30*r**5. Let g(i) = 0. What is i?
-2, -1
Let c = -84/11 - -90/11. What is l in 4/11*l - c*l**2 + 0 + 2/11*l**4 + 0*l**3 = 0?
-2, 0, 1
Let g(o) be the first derivative of -1/3*o**3 + 3*o**2 + 3 - 9*o. Solve g(w) = 0.
3
Let m(c) be the first derivative of -4*c**3/15 + 6*c**2/5 + 3. Suppose m(s) = 0. What is s?
0, 3
Factor 24/5 + 18/5*l**2 - 36/5*l - 3/5*l**3.
-3*(l - 2)**3/5
Let x(b) be the third derivative of b**6/420 - b**4/84 + 6*b**2. Let x(q) = 0. What is q?
-1, 0, 1
Suppose i + 3*m = -6, 2 = 5*i + m - 2*m. Factor 0 - 2/11*q**4 - 8/11*q**3 - 8/11*q**2 + i*q.
-2*q**2*(q + 2)**2/11
Let j be (-1)/(-2)*2900/55. Let f = -2522/99 + j. Factor 14/3*d**3 + 2*d**4 + f*d + 32/9*d**2 + 0.
2*d*(d + 1)*(3*d + 2)**2/9
Let c = -1 - -3. Suppose 0*x**3 - 5*x**3 + 4*x**3 - x**c + 0*x**3 = 0. Calculate x.
-1, 0
Let b(o) be the second derivative of 2/15*o**6 + 0*o**2 + 0 + 0*o**4 + 0*o**3 + 0*o**5 - o. Factor b(t).
4*t**4
Suppose -1/4*r**3 + 0 + 0*r - 5/4*r**2 = 0. Calculate r.
-5, 0
Let c = 57 + -22. Suppose 11 = -6*b + c. Factor -2/3*z**3 + 0 + 1/3*z + 0*z**b + 1/3*z**5 + 0*z**2.
z*(z - 1)**2*(z + 1)**2/3
Let f be 4 - ((-8)/(-3) - -1). Let w(t) be the first derivative of -1/3*t**2 + 1/15*t**5 + 3 - f*t + 0*t**3 + 1/6*t**4. Find i, given that w(i) = 0.
-1, 1
Suppose -5*c = -w + 5*w - 24, 0 = w - 2*c - 6. Let h = w - 3. Solve k**3 - k**2 + 0*k**3 + h - 2 - k = 0 for k.
-1, 1
Suppose 2 = -4*q + 10. Determine n, given that 6*n**2 + 3 + q - 3 - 2*n**2 + 6*n = 0.
-1, -1/2
Let o(f) be the third derivative of f**5/90 - f**4/9 + f**3/3 - f**2. Factor o(j).
2*(j - 3)*(j - 1)/3
Let o be (4/(-2) + 0)/((-448)/128). Factor -2/7 - o*s - 2/7*s**2.
-2*(s + 1)**2/7
Let j be (3/(-522))/(10/(-18584)). Let a = -2/145 + j. Suppose 0*p - 2/3 + a*p**2 = 0. What is p?
-1/4, 1/4
Suppose -2*r = -4*r + 2*g, -3*g + 8 = r. Suppose -2*n = 3*c - 0*c - 11, -r = n - c. What is y in n - 18*y