/3*s**3 - 2 - 64/3*s**6 - 96/5*s**5 + 0*s + 0*s**2. Find g such that y(g) = 0.
-1/4, 0
Factor -3/2 - m + 1/2*m**2.
(m - 3)*(m + 1)/2
Let u(c) = 4*c**2 + c + 9. Let r(o) = 2*o**2 + o + 5. Suppose 5 = -2*t + 3*b, -t + 0*t - 3*b = 16. Let q(i) = t*r(i) + 4*u(i). Factor q(n).
(n - 1)*(2*n - 1)
Let i(m) be the second derivative of -3*m**6/10 - 6*m**5/5 - 3*m**4/4 + m**3 + 5*m. Factor i(l).
-3*l*(l + 1)*(l + 2)*(3*l - 1)
Let w(b) be the second derivative of -5*b**4/12 - 66*b. Factor w(t).
-5*t**2
Suppose -5*p + 3*n + 15 = 0, 2 = -p + 3*n + 5. Solve 4 + p*f**4 + 28*f**2 + 15*f**3 + 21*f - f**2 + 3 - 1 = 0 for f.
-2, -1
Let i = -2 - -3. Let d be i*6*8/42. Solve 72/7*p - d - 14*p**4 + 36*p**3 - 218/7*p**2 = 0.
2/7, 1
Let m(p) be the second derivative of 5*p + 1/2*p**3 + 0 - 1/4*p**4 + 3*p**2. Solve m(z) = 0 for z.
-1, 2
Let s(k) be the first derivative of -k**3/9 - k**2/6 + 5. Factor s(c).
-c*(c + 1)/3
Let a(s) be the second derivative of -s**10/30240 + s**8/3360 - s**6/720 - s**4/6 + 3*s. Let m(g) be the third derivative of a(g). What is r in m(r) = 0?
-1, 0, 1
Let k be (4 + 48/20)*10. Let p = k + -446/7. Factor 0*q**2 + p*q**4 + 0*q + 2/7*q**3 + 0.
2*q**3*(q + 1)/7
Factor 0 + 1/5*m**5 - 2/5*m**2 + 0*m - 1/5*m**3 + 2/5*m**4.
m**2*(m - 1)*(m + 1)*(m + 2)/5
Let j = 3 - -1. Suppose 0 = -j*w - w. Factor -1/4*o + w - 1/4*o**2.
-o*(o + 1)/4
Let x(y) = -y**3 + 4*y**2 - 3*y + 5. Let q(p) = 4*p**3 - 20*p**2 + 16*p - 24. Let l(o) = -5*q(o) - 24*x(o). Factor l(t).
4*t*(t - 1)*(t + 2)
Let i(y) be the third derivative of y**5/12 - 25*y**4/24 - 5*y**3 + 9*y**2. Factor i(l).
5*(l - 6)*(l + 1)
Factor 0*y**2 - 7*y**2 + 5*y**2 + 10 - 8*y.
-2*(y - 1)*(y + 5)
Suppose 0*p**3 - 1/4*p**4 + 0*p + 0 + 0*p**2 = 0. Calculate p.
0
Let m(v) be the second derivative of -v**8/168 - 4*v**7/105 - v**6/15 - v**2/2 + 3*v. Let o(n) be the first derivative of m(n). Factor o(x).
-2*x**3*(x + 2)**2
Let m be 6 - (-82)/4*(-24)/(-16). Factor m*r**5 + 0 - 9/4*r**3 + 3*r + 15*r**2 - 105/2*r**4.
3*r*(r - 1)**2*(7*r + 2)**2/4
Let x(m) = 4*m**5 - 24*m**4 + 48*m**3 - 16*m**2 - 4. Let q(f) = -f**4 - f**3 - f**2 + 1. Let a(n) = 4*q(n) + x(n). Determine o, given that a(o) = 0.
0, 1, 5
Find l, given that -2/5*l + 1/5*l**4 - 1/5*l**2 + 0 + 2/5*l**3 = 0.
-2, -1, 0, 1
Let d = -670/141 - -1/564. Let t = -9/2 - d. Let -1 - t*u**2 + u = 0. What is u?
2
Let z(v) = -8*v**2 - 10*v - 32. Let u(a) = 17*a**2 + 19*a + 64. Let y(o) = 6*u(o) + 13*z(o). Factor y(j).
-2*(j + 4)**2
Suppose 5*h - f - 13 = 0, -4*h + 0 = -3*f - 6. Factor -2 - 4*l**2 - h*l + 11*l - 2.
-4*(l - 1)**2
Suppose 10*c - 265*c**2 + 530*c**2 - 60*c**4 - 35*c**3 - 20*c**5 - 250*c**2 = 0. What is c?
-2, -1, -1/2, 0, 1/2
Suppose s - 6*s - 4*o + 28 = 0, 3*s + o - 14 = 0. Let p(d) be the first derivative of 0*d**2 - 3 + 0*d - 2/21*d**3 - 1/14*d**s. Factor p(y).
-2*y**2*(y + 1)/7
Let d = -64 - -40. Let p be (-18)/d*32/42. What is r in -p*r**3 + 2/7*r**5 - 16/7*r**2 - 2*r - 4/7 + 4/7*r**4 = 0?
-1, 2
Let n(c) be the first derivative of -c**6/40 + c**5/20 - 3*c**2/2 + 6. Let y(g) be the second derivative of n(g). Factor y(l).
-3*l**2*(l - 1)
Let i be (6/(-9))/((-12)/9). Let g(x) be the first derivative of 1/4*x**4 - x - 1 - i*x**2 + 1/3*x**3. Factor g(m).
(m - 1)*(m + 1)**2
Factor t**2 + 0 - 3*t**2 + 0 + 2*t.
-2*t*(t - 1)
Let b(a) be the third derivative of 2*a**2 - 1/300*a**5 + 0*a**3 + 1/120*a**4 + 0*a + 0. Suppose b(g) = 0. Calculate g.
0, 1
Let i(x) = x**4 + x**3 + 3*x**2 - x - 4. Let q = -10 + 6. Let d(y) = 3*y**4 + 3*y**3 + 8*y**2 - 3*y - 11. Let r(u) = q*d(u) + 11*i(u). Factor r(o).
-o*(o - 1)*(o + 1)**2
Let i(w) be the first derivative of 224*w**6/3 + 208*w**5/5 - 3*w**4 - 17*w**3/3 - w**2 - 4. Suppose i(h) = 0. What is h?
-1/4, 0, 2/7
Let m(n) be the second derivative of -n**4/28 - n**3/7 - 3*n**2/14 - 44*n. Factor m(c).
-3*(c + 1)**2/7
Let q(u) be the first derivative of 0*u + 1 + 0*u**2 - 2/21*u**3. Factor q(b).
-2*b**2/7
Let p(r) be the first derivative of 9*r**5/35 - 6*r**4/7 + 6*r**3/7 - 3*r/7 + 22. Factor p(d).
3*(d - 1)**3*(3*d + 1)/7
Let i be (6/1)/(0 - 1). Let k = -3 - i. Factor -16*c**k - 14*c**2 + 2 - 2 - 6*c**3 - 2*c - 10*c**4.
-2*c*(c + 1)**2*(5*c + 1)
Let n be 537/(-108) - -1 - -4. Let o(w) be the third derivative of n*w**4 - 11/360*w**6 - w**2 + 0*w - 2/315*w**7 + 0*w**3 + 0 - 1/36*w**5. Factor o(s).
-s*(s + 1)*(s + 2)*(4*s - 1)/3
Suppose 5*x - 8 = 4*x - 5*i, 2*x - 30 = -3*i. Let r be ((-3)/x)/((-3)/6). Factor -r*v**2 + 0 + 1/3*v**4 - 1/3*v**3 + 1/3*v.
v*(v - 1)**2*(v + 1)/3
Let d(n) = -4*n**2 + 2*n + 2. Suppose 3*y - 7*y = -8. Let l(p) = p**2 - p - 1. Let i(j) = y*l(j) + d(j). Solve i(h) = 0 for h.
0
Let n = -376/3 + 126. Factor 10/3*c**2 - 2/3 + 2*c**3 + n*c.
2*(c + 1)**2*(3*c - 1)/3
Let z(j) be the first derivative of -7*j**4 - 76*j**3/3 - 16*j**2 + 16*j + 2. Determine r, given that z(r) = 0.
-2, -1, 2/7
Let l(u) be the third derivative of -4*u**5/5 - 2*u**4/3 + 2*u**3/3 + 5*u**2. Factor l(c).
-4*(2*c + 1)*(6*c - 1)
Let a(f) be the third derivative of -f**6/40 + f**5/5 + f**4/8 - 2*f**3 + f**2 + 19*f. Factor a(s).
-3*(s - 4)*(s - 1)*(s + 1)
Solve 57*d + 36*d**2 - d**5 + 2*d**5 + 18 - 15*d**4 - 3*d**2 + 5*d**5 - 27*d**3 = 0 for d.
-1, -1/2, 2, 3
Let p(t) be the third derivative of t**7/490 + t**6/70 + 3*t**5/140 - 45*t**2. Determine w so that p(w) = 0.
-3, -1, 0
Let t(p) = -2*p**3 - 4*p**2 - 3*p - 5. Let k be t(-4). Let -54 - 32*c**5 + 507*c**3 - k*c**4 + 378*c - 450*c**2 - 201*c**4 - 1229*c**3 = 0. What is c?
-3, 1/4
Let k(c) be the second derivative of c**6/120 - 2*c**2 - c. Let f(i) be the first derivative of k(i). Factor f(d).
d**3
Let c(q) be the second derivative of 1/8*q**4 + 1/56*q**7 + 0 - 1/20*q**6 + 0*q**5 - 1/8*q**3 + 3*q + 0*q**2. Factor c(l).
3*l*(l - 1)**3*(l + 1)/4
Suppose 13 = 3*m - 2*k, -2*m - 5*k - 5 + 20 = 0. Suppose -4/7*y**3 + 0*y + 0*y**2 + 2/7*y**4 + 2/7*y**m + 0 = 0. Calculate y.
-2, 0, 1
Suppose 4 = -o - 3*o. Let z be 3 + -2 + 4 + o. Factor l**5 + 3*l**z - l + l**2 + l + 3*l**3.
l**2*(l + 1)**3
Let b(p) be the first derivative of 1/6*p**2 + 0*p**3 - 1/12*p**4 - 1/30*p**5 + 1/6*p - 3. Let b(w) = 0. What is w?
-1, 1
Let b be (-12)/(-5) - 10/25. Let y(i) be the second derivative of 1/48*i**4 + 1/8*i**b + 2*i + 0 - 1/12*i**3. Find r, given that y(r) = 0.
1
Let n be 1/((-1)/2) + 2. Let i(c) be the second derivative of 1/6*c**3 + n - 2*c + 1/6*c**4 + 0*c**2 + 1/20*c**5. Let i(l) = 0. What is l?
-1, 0
Let q(s) = 2*s**5 + 34*s**4 + 11*s**3 - 18*s**2 - 27*s - 16. Let j(m) = -m**5 - 23*m**4 - 7*m**3 + 12*m**2 + 18*m + 11. Let a(i) = 7*j(i) + 5*q(i). Factor a(n).
3*(n - 1)*(n + 1)**4
Let q(b) be the first derivative of -b**6/18 + 2*b**5/15 + b**4/6 - 8*b**3/9 + 7*b**2/6 - 2*b/3 + 6. Factor q(o).
-(o - 1)**4*(o + 2)/3
Solve 4/7*h - 4/7*h**3 + 0*h**2 - 2/7 + 2/7*h**4 = 0.
-1, 1
Suppose -52 = -112*k + 99*k. Solve 0 - 3*x**2 - 33/2*x**3 + 0*x - 27/2*x**k = 0.
-1, -2/9, 0
Suppose 2*f + 0 = -2*u + 4, 4*f - u = 28. Suppose 0 = -5*q - 5*c - 5, -q - 25 = -f*q + 5*c. Factor 0 + 1/4*m + 1/4*m**q.
m*(m + 1)/4
Let x = 230/363 + 4/121. Factor 0 + 0*g**3 - 2/3*g**2 + 0*g + x*g**4.
2*g**2*(g - 1)*(g + 1)/3
Let a(q) be the third derivative of q**8/504 - 4*q**7/315 + q**6/30 - 2*q**5/45 + q**4/36 + 27*q**2. Factor a(f).
2*f*(f - 1)**4/3
Solve 4*f**2 + 64*f + 4*f**4 - 125*f + 61*f - 8*f**3 = 0 for f.
0, 1
Let s(x) be the first derivative of -2*x**3/11 + 19*x**2/11 - 12*x/11 + 10. Factor s(a).
-2*(a - 6)*(3*a - 1)/11
Let s(u) be the second derivative of -4*u**7/77 - u**6/33 + 19*u**5/55 - 3*u**4/22 - 16*u**3/33 + 4*u**2/11 + 23*u. Let s(l) = 0. Calculate l.
-2, -2/3, 1/4, 1
Factor 0*z**3 + 80 - 35*z**2 - 40*z - z**3 - 4*z**3 + 0*z**2.
-5*(z - 1)*(z + 4)**2
Suppose -2*b - 2*a = 2*b - 14, -5*b + 4*a = 2. Let f(r) be the first derivative of 0*r**b + 0*r - 1 + 2/5*r**5 - r**4 + 2/3*r**3. Let f(t) = 0. What is t?
0, 1
Let m be (-20)/(-6)*(-60)/(-40). Let u(k) be the third derivative of 0*k**3 + k**2 + 0 + 0*k + 1/20*k**m - 1/4*k**4. Factor u(w).
3*w*(w - 2)
Let d(z) be the first derivative of 0*z**2 + 1/18*z**6 + 0*z + 2/3*z**4 + 4/9*z**3 + 2 + 1/3*z**5. Let d(k) = 0. What is k?
-2, -1, 0
Let u be 40/((-25)/5)*(-2)/12. Determine v so that -4/3*v**2 - 2/3*v**3 + u + 2/3*v = 0.
-2, -1, 1
Let f(p) = -7*p**4 - 9*p**3 - 11*p**2 + 9. Let u(b) 