4/105*d**7 - 4/3*d**3 + 7*d**2 + 0*d + 0. Suppose z(u) = 0. Calculate u.
-1, 1, 2
Let o(y) = -7*y**4 + y**3 + 7*y**2 - 7*y - 3. Let a(d) = 20*d**4 - 2*d**3 - 20*d**2 + 22*d + 10. Let x(l) = 3*a(l) + 10*o(l). Factor x(i).
-2*i*(i - 1)*(i + 1)*(5*i - 2)
Let u = -16/57 - -235/228. Solve 3/4*t**3 + 3/4*t**2 + 0 - 3/4*t**5 - u*t**4 + 0*t = 0.
-1, 0, 1
Factor 0*r - 2/3 + 2/3*r**2.
2*(r - 1)*(r + 1)/3
Let m(l) be the first derivative of l**4/32 - 13. Factor m(a).
a**3/8
Let i(q) be the first derivative of q**7/1050 - q**5/300 - 3*q**2/2 + 1. Let j(o) be the second derivative of i(o). Find w, given that j(w) = 0.
-1, 0, 1
Let r = 3 - -5. Let -10*b**5 - r*b**2 + 4*b**4 + 23*b**3 - 6*b**3 + 3*b**3 - 10*b + 4 = 0. What is b?
-1, 2/5, 1
Let i(b) be the third derivative of 1/24*b**4 + 0 + 3*b**2 + 7/600*b**6 + 0*b - 1/30*b**3 - 1/525*b**7 - 3/100*b**5. Factor i(z).
-(z - 1)**3*(2*z - 1)/5
Suppose -2*d + 4 = -0*d. Let i(p) be the second derivative of 0 - 1/42*p**4 + 2*p - 1/7*p**d + 2/21*p**3. Solve i(l) = 0 for l.
1
Let m(q) be the second derivative of 2*q**7/21 + 16*q**6/15 + 61*q**5/20 - 25*q**4/12 - 28*q**3/3 - 8*q**2 + 30*q + 1. What is p in m(p) = 0?
-4, -1/2, 1
Let r(v) = 35*v**3 + 69*v**2 + 39*v - 1. Let i(y) = 35*y**3 + 68*y**2 + 38*y - 2. Let j(o) = 6*i(o) - 7*r(o). Factor j(g).
-5*(g + 1)**2*(7*g + 1)
Let t(r) = 9*r**2 - 17*r + 3. Let c(n) = -10*n**2 + 18*n - 2. Let v(q) = 5*c(q) + 6*t(q). Factor v(f).
4*(f - 2)*(f - 1)
Let i be ((-84)/77)/(9/(-6)). Factor i + 2/11*c**2 + 8/11*c.
2*(c + 2)**2/11
Let j be 4*(-3 - (-7)/2). Determine k so that 2/5*k**j + 0 + 4/5*k = 0.
-2, 0
Let n(b) be the third derivative of -b**6/100 + b**5/25 - b**4/20 - 21*b**2. Suppose n(y) = 0. What is y?
0, 1
Let v(p) be the first derivative of p**3 + 3*p**2 - 5. Factor v(g).
3*g*(g + 2)
Solve -m + 7/2*m**5 - 5/2*m**3 + 9/2*m**2 - 9/2*m**4 + 0 = 0 for m.
-1, 0, 2/7, 1
Let b be (1 - -3)*(-4 + 1). Let g(z) = -2*z**3 - 16*z**2 + 12*z. Let v(n) = -n**2 + n. Let l(y) = b*v(y) + g(y). Factor l(t).
-2*t**2*(t + 2)
Let h(g) be the third derivative of -2*g**2 + 1/6*g**3 + 0*g - 1/900*g**6 - 1/300*g**5 + 0 + 0*g**4. Let k(b) be the first derivative of h(b). Factor k(p).
-2*p*(p + 1)/5
Suppose 15 = 7*v - 2*v. Suppose -31 = -3*g + 2*d, v*d - 1 = 2. Factor 15*r - 2*r**2 - g - 2*r**2 + 10*r**2 - 15*r**3 + 5.
-3*(r - 1)*(r + 1)*(5*r - 2)
Let h be 2/4 + (-1)/2*-5. Let j(b) be the first derivative of 0*b - 1 - 1/2*b**2 + 1/6*b**h. Find a such that j(a) = 0.
0, 2
Factor -2/17*g**2 - 2/17*g**3 + 2/17 + 2/17*g.
-2*(g - 1)*(g + 1)**2/17
Let d(g) be the first derivative of -2*g**5/5 + 5*g**4/2 - 14*g**3/3 + 3*g**2 + 7. Solve d(m) = 0 for m.
0, 1, 3
Let f(h) be the third derivative of -h**5/20 + h**4/8 + h**3 + 15*h**2. Solve f(o) = 0.
-1, 2
Factor -5*g**2 - 2*g + g**2 + 3*g**2 - g**2.
-2*g*(g + 1)
Let h(w) = w**3 - 7*w**2 + 5*w + 8. Let f be 1/(-7) - (-344)/56. Let v be h(f). Solve -4/3*d**3 - 4/3*d**2 + 2*d + v*d**4 - 2/3 - 2/3*d**5 = 0.
-1, 1
Determine p, given that -6 - 4*p - 2/3*p**2 = 0.
-3
Let a = 8 - 4. Factor -1 + f**a - 2*f - f**3 + 0*f**3 + 3*f**3.
(f - 1)*(f + 1)**3
Let y(o) = -o**3 + 4*o**2 - 4*o + 3. Let v be y(3). Let n(l) be the first derivative of 0*l - 1/25*l**5 + 2 + 0*l**2 + v*l**3 + 1/20*l**4. Factor n(z).
-z**3*(z - 1)/5
Factor -24*p - 28*p**5 - 18*p**2 + 16*p - 34*p**2 - 108*p**3 - 92*p**4.
-4*p*(p + 1)**3*(7*p + 2)
Let g be (-9)/(-120)*6 + 1/(-5). Let v(d) be the second derivative of -g*d**4 + 0*d**3 + 0*d**2 - 3*d + 3/20*d**5 + 0. Factor v(s).
3*s**2*(s - 1)
Let l(r) be the third derivative of -r**6/300 + r**4/20 - 2*r**3/15 - 5*r**2. Factor l(s).
-2*(s - 1)**2*(s + 2)/5
Factor 1/4*z**2 + 0*z + 0 - 1/4*z**3.
-z**2*(z - 1)/4
Factor -2/9*q**2 - 2/9*q**3 + 0 + 0*q.
-2*q**2*(q + 1)/9
Find y, given that 7/4*y**3 + 1/2*y**2 + 0*y - 1/2*y**4 - 7/4*y**5 + 0 = 0.
-1, -2/7, 0, 1
Let x be (-105)/28 - (-2 - 2). Suppose -2 = -4*y + 6. Determine t, given that x*t - 1/4*t**y + 1/2 = 0.
-1, 2
Suppose 2*g = -5*j - g + 12, 3*j + 4 = g. Let n be (2/(-4) + 0)*j. Factor n + 1/4*c**2 + 1/4*c.
c*(c + 1)/4
Let c(b) = 3*b**2 + 27*b + 33. Suppose -3*p - 54 = -9*p. Let a(g) = -g**2 - 7*g - 8. Let t(k) = p*a(k) + 2*c(k). Factor t(l).
-3*(l + 1)*(l + 2)
Let r(o) be the second derivative of o**5/30 - o**4/9 + o**3/9 - 3*o. Find j such that r(j) = 0.
0, 1
Suppose -9 + 7 = -z. Determine c so that 3/2*c**z + 3 - 9/2*c = 0.
1, 2
Let u = -35041/47180 - 1/6740. Let w = u + 8/7. Factor 1/5*z**2 + 1/5 - w*z.
(z - 1)**2/5
Let h(p) be the second derivative of -p**5/120 - 5*p**4/72 - 2*p**3/9 - p**2/3 + 8*p. Determine g so that h(g) = 0.
-2, -1
Let s(n) = 2*n**3 + 4*n**2 - 3. Let f(t) = -3*t**2 - t - 3. Let k(h) = 13*h**2 + 4*h + 13. Let x(v) = -9*f(v) - 2*k(v). Let g(a) = -s(a) - x(a). Factor g(r).
-(r + 1)*(r + 2)*(2*r - 1)
Suppose -l = -2*r - 2, -5*l + 10 + 6 = -4*r. Let b(k) be the first derivative of -l*k - 14*k**3 - 4 - 11*k**2 - 2*k**5 - 17/2*k**4. Factor b(o).
-2*(o + 1)**3*(5*o + 2)
Suppose 0 = 5*b - 2*b - 15. Factor -9*v**4 - 9*v + 3 + 11*v**2 + 3*v**5 - b*v**2 + 0*v**5 + 6*v**3.
3*(v - 1)**4*(v + 1)
Suppose 6 + 1 - 3 + 4*p**4 - 8*p**2 = 0. What is p?
-1, 1
Let i = 4/3 - 14/15. Suppose -1/5*n**2 + i*n + 0 = 0. What is n?
0, 2
Let b = -948 + 8542/9. Let r be (-5)/(-18) - 1/(-6). Factor 2/9 - r*p**3 + b*p**2 - 8/9*p.
-2*(p - 1)**2*(2*p - 1)/9
Factor -10/9*y**4 - 20/9*y**3 - 2/9*y**5 - 2/9 - 20/9*y**2 - 10/9*y.
-2*(y + 1)**5/9
Let j = -586/7 - -84. Factor 0 + 2/7*o**2 + j*o**3 + 0*o.
2*o**2*(o + 1)/7
Let a(b) be the first derivative of b**5/10 - 9*b**4/8 - 11*b**3/2 - 35*b**2/4 - 6*b - 19. Suppose a(v) = 0. Calculate v.
-1, 12
Let v be (-64)/160*-1*(0 + 1). Determine t so that -4/5*t**4 + 0*t**2 + 0 + v*t**5 + 2/5*t**3 + 0*t = 0.
0, 1
Let f(l) be the third derivative of l**7/210 + l**6/30 + l**5/15 + 6*l**2. Solve f(n) = 0 for n.
-2, 0
Let a(c) be the third derivative of -c**5/20 + c**4 - 6*c**3 + 16*c**2. Factor a(b).
-3*(b - 6)*(b - 2)
Suppose -r**2 + 1/2*r + 3/4 + 1/4*r**4 - 1/2*r**3 = 0. Calculate r.
-1, 1, 3
Let o be 5/3 + 3/(-3). Suppose 5*f + 5 = 10*i - 5*i, 5*f - 1 = 3*i. Factor -o*v**f + 0 + 2/3*v.
-2*v*(v - 1)/3
Suppose -22 = -4*u - 6. Let -i**4 + 0*i + 6*i**2 + 3*i**u - 6*i**3 + 3*i - 5*i = 0. What is i?
0, 1
Suppose 2*z = -8, j + 17 = -4*z - z. Let 4*h + 2*h**3 + h**2 - 4*h - h**j = 0. What is h?
-1, 0
Let r be ((-8)/6)/((-2)/(-9)). Let k be (-2 - 1)/(r/16). Factor -5*h**3 - 2 - 4*h + h + 2*h + k*h**2.
-(h - 1)**2*(5*h + 2)
Suppose 2*v + 6 = r, -26 = -r - 3*v - 10. Factor 16*m - 2*m**4 - 18*m**2 + 3*m + 10*m**3 + 6 - r - 5*m.
-2*(m - 2)*(m - 1)**3
Let b(q) = -4*q**3 + 16*q**2 - 4*q - 8. Let a(i) = i**3 - i**2 - 1. Let k(d) = 1. Let n(u) = -a(u) - k(u). Let g(l) = b(l) - 8*n(l). Solve g(p) = 0 for p.
-2, -1, 1
Let g(k) be the second derivative of k**5/100 - k**4/20 - 5*k. Factor g(a).
a**2*(a - 3)/5
Suppose 0*h - 16 = -4*h. Suppose -m + 8 = 4*k - 8, 0 = 5*m + h*k - 16. What is n in -8*n**5 + 4*n**3 - 2*n**4 + 2*n**5 + m*n**3 = 0?
-1, 0, 2/3
Suppose w + 22 = 5*c, -4*c = -6*w + 3*w - 11. Let m = 39 - 37. Find f such that 0 - 2/9*f**w + 2/9*f**m + 0*f = 0.
0, 1
Let z(c) be the second derivative of -1/2*c**3 + c**2 + 1/12*c**4 + 4*c + 0. Factor z(f).
(f - 2)*(f - 1)
Let b(t) be the first derivative of -3*t**4/4 + 4*t**3 - 6*t**2 + 44. Factor b(m).
-3*m*(m - 2)**2
Let x(n) = -3*n - 55. Let i be x(-19). Factor 2/7*k**3 - 2/7*k**4 + 2/7*k**i - 2/7*k + 0.
-2*k*(k - 1)**2*(k + 1)/7
Let l(k) be the second derivative of k**5/120 - k**3/12 + 5*k**2/2 - 6*k. Let m(s) be the first derivative of l(s). Factor m(j).
(j - 1)*(j + 1)/2
Let r(d) be the second derivative of d**4/15 + 4*d**3/5 - 42*d. Factor r(n).
4*n*(n + 6)/5
Let k(x) be the second derivative of x**4/4 - 2*x**3 + 6*x**2 + 5*x. Factor k(l).
3*(l - 2)**2
Let p be (5 + 202/(-40))*-8. Let n(y) be the second derivative of p*y**2 + 0 + y - 2/15*y**4 - 7/15*y**3. Determine h so that n(h) = 0.
-2, 1/4
Factor 0 + 1/5*f**2 + 6/5*f.
f*(f + 6)/5
Let g(r) be the second derivative of -r**7/14 - r**6/6 - 7*r**5/80 + r**4/24 + r**3/24 + 3*r. What is z in g(z) = 0?
-1, -1/2, 0, 1/3
Let f(c) = 7*c**5 - 3*c**4 + c**3 - 5*c. Let s = -6 - -4. Let i(p) = -3*p**5 + p**4 + 2*p. Let y(t) = s*f(t) - 5*i(t). Suppose y(k) = 0. Calculate k.
-2, 0, 1
Let i(z) be the third 