1)**2
Let l(x) = -x**3 - 19*x**2 + 19*x - 23. Let a be l(-20). Let h be 4 + (a - 5/7). Let -1/7*v + 1/7*v**2 - h = 0. Calculate v.
-1, 2
Let a(x) = -x + 19. Let m be a(15). Let o(p) be the third derivative of 1/30*p**5 - p**2 + 1/6*p**m + 0 + 0*p + 1/3*p**3. What is k in o(k) = 0?
-1
Determine y, given that -4*y + 8*y**2 - 4*y**2 - 4 - 5*y**2 = 0.
-2
Let n(c) = 4 + 4*c**2 - 9*c**2 - 2*c - 6*c - 3*c**2. Let k(y) = -y**2 - y + 1. Let b(l) = -4*k(l) + n(l). Factor b(g).
-4*g*(g + 1)
Factor 0*d + 6/11*d**2 - 8/11 - 2/11*d**3.
-2*(d - 2)**2*(d + 1)/11
Let q(n) = 2*n**3 + 2*n**2 - 2*n - 2. Let f be q(2). Let x be 18/(-6)*(-2 + 1). Factor 29*r**3 + 2*r**5 + 7*r**x - r**5 + f*r**4 + 24*r**2 + 2*r**5.
3*r**2*(r + 2)**3
Suppose 2*n + 2 - 3/2*n**3 - 5/2*n**2 = 0. Calculate n.
-2, -2/3, 1
Let d(m) be the third derivative of -m**6/360 + m**5/60 - m**4/24 + m**3/18 + m**2. Factor d(z).
-(z - 1)**3/3
Suppose 5*x - 11 = 9. Let l = x - 6. Let o(i) = -5*i**2 + 31*i - 9. Let k(v) = v**2 - 6*v + 2. Let j(g) = l*o(g) - 11*k(g). Find f such that j(f) = 0.
2
Let z(c) = -2*c - 8. Let i be z(-6). Let -3/2*v**i + 7/2*v**3 + 1/2*v + 0 - 5/2*v**2 = 0. Calculate v.
0, 1/3, 1
Let o(h) be the second derivative of 0 + 9/8*h**2 - h + 1/48*h**4 + 1/4*h**3. Factor o(i).
(i + 3)**2/4
Let b(u) be the third derivative of -u**8/6720 - u**7/840 - u**6/360 + u**4/6 - 9*u**2. Let a(d) be the second derivative of b(d). Factor a(z).
-z*(z + 1)*(z + 2)
Let j = 393 - 1177/3. Find z, given that 2/3 + j*z**5 + 2/3*z + 2/3*z**4 - 4/3*z**3 - 4/3*z**2 = 0.
-1, 1
Let t(b) be the second derivative of b**8/2520 - b**7/1260 - b**6/540 + b**5/180 + b**3/3 - 3*b. Let j(n) be the second derivative of t(n). Solve j(z) = 0.
-1, 0, 1
Factor -4*h**4 + 2*h**4 - 4*h**4 + 5*h**4.
-h**4
Suppose -76*i + 4*i**3 + 20*i**5 - 2*i - 40 - 22*i - 59*i**3 + 230*i**2 - 55*i**4 = 0. What is i?
-2, -1/4, 1, 2
Let r(s) = 45*s + 228. Let i be r(-5). Find d such that 0 + 0*d - 6/11*d**i - 2/11*d**5 - 2/11*d**2 - 6/11*d**4 = 0.
-1, 0
Let s(t) = t**2 + 15*t - 447. Let k be s(-30). Factor 0*w**2 - 8/7 - 4/7*w**k + 12/7*w.
-4*(w - 1)**2*(w + 2)/7
Suppose 2*a + 3*y = 20, -3*a - 5*y = a - 36. Suppose d = g - 2, 2*g = -0*d + 5*d + 4. Determine s so that 0*s**g - 4*s**a + 5*s**4 + 2*s**3 + s**2 = 0.
-1, 0
Let q be ((-5)/15)/(3/(-171)). Suppose 8 + 36*j**3 + 0*j**4 + 37*j**2 + 17*j + q*j**2 + 8*j**4 + 19*j = 0. What is j?
-2, -1, -1/2
Let c(l) be the first derivative of 2 + 0*l**2 + 0*l - l**6 + 4/3*l**3 - 4/5*l**5 + 3/2*l**4. Solve c(z) = 0 for z.
-1, -2/3, 0, 1
Let m(n) be the first derivative of -49*n**4 + 168*n**3 - 120*n**2 + 32*n + 7. Determine u, given that m(u) = 0.
2/7, 2
Let d(s) be the first derivative of 2*s**4 - 34*s**3/3 + 16*s**2 - 6*s - 5. Factor d(g).
2*(g - 3)*(g - 1)*(4*g - 1)
Let o = -8 + 6. Let d(s) = 12*s**3 + 17*s**2 - 21*s - 17. Let k(y) = -6 + 4*y**2 - 5*y + 3*y**3 + 2*y**3 - 2*y**3 + 2. Let l(w) = o*d(w) + 9*k(w). Factor l(z).
(z - 1)*(z + 1)*(3*z + 2)
Suppose 0 = -3*h + 6*h. Suppose h = v + 4*g + 15 + 3, 0 = -4*v - g + 3. Let 0 + 2/5*r - 2/5*r**3 + 0*r**v = 0. What is r?
-1, 0, 1
Let l be (-4)/(-14) - 4/14. Suppose 12 = 3*a - l. Determine v so that 0 + 2/5*v**2 + 6/5*v**a + 2/5*v**5 + 6/5*v**3 + 0*v = 0.
-1, 0
Factor -1/8*j**4 + 4*j - 2 + j**3 - 3*j**2.
-(j - 2)**4/8
Let g(s) be the third derivative of 0*s**4 + 0 - 1/315*s**7 + 1/180*s**6 + 3*s**2 + 0*s**3 + 0*s - 1/270*s**5 + 1/1512*s**8. Solve g(m) = 0.
0, 1
Let x(t) = t**2 - t - 1. Let c(f) = -7*f**2 + 13*f + 15. Let j(a) = c(a) + 5*x(a). Factor j(z).
-2*(z - 5)*(z + 1)
Suppose 0 = 4*i + 18 - 6, -3*i + 3 = 4*u. Let f(k) be the first derivative of 2 - 2*k**2 + 0*k + 2*k**u - 1/2*k**4. Factor f(d).
-2*d*(d - 2)*(d - 1)
Suppose 2*z + 3*z + 30 = 0. Let i(a) = a**2 - 3*a - 4. Let c(d) = 3*d**2 - 7*d - 7. Let w(s) = z*c(s) + 11*i(s). Suppose w(b) = 0. What is b?
2/7, 1
Solve 9/4 - 3/2*z - 3*z**2 + 3/2*z**3 + 3/4*z**4 = 0.
-3, -1, 1
Factor -27/8 - 3/8*c**2 + 9/4*c.
-3*(c - 3)**2/8
Let s(q) be the first derivative of 0*q + 1/9*q**6 - 5 + 0*q**2 + 4/15*q**5 + 0*q**3 + 1/6*q**4. What is m in s(m) = 0?
-1, 0
Let k(f) be the third derivative of -f**6/40 - 7*f**5/20 - 15*f**4/8 - 9*f**3/2 + 7*f**2. Suppose k(r) = 0. What is r?
-3, -1
Let d(i) be the third derivative of 0 + 0*i + 9*i**2 - 1/210*i**7 + 1/60*i**5 + 1/24*i**4 + 0*i**3 - 1/120*i**6. Determine l, given that d(l) = 0.
-1, 0, 1
Let g = 17 - 24. Let x(b) = b**2 + 5*b - 14. Let c be x(g). Factor -2/7 + 4/7*n**2 - 2/7*n**4 + c*n + 0*n**3.
-2*(n - 1)**2*(n + 1)**2/7
Suppose -3*g = m + 3*m + 9, -4*g - 12 = 3*m. Suppose -5*l + 2 + 8 = m. Determine n, given that 0*n**l + 1/3*n**5 + 0 + 0*n**4 + 0*n + 0*n**3 = 0.
0
Let l(i) be the second derivative of -4*i + 1/20*i**5 + 0 - 1/6*i**3 + i**2 - 1/6*i**4. Factor l(b).
(b - 2)*(b - 1)*(b + 1)
Let u = -4 + 6. Solve -2*q + q - 4*q**4 + 2*q**3 + q**2 + 3*q**u - q = 0.
-1, 0, 1/2, 1
Suppose 95 = 4*n - t, -2*n + 4*t + 18 = -26. Suppose i + 5*f - f = -12, n = 4*i - 2*f. Solve 0 + 2/7*x**i + 0*x**2 + 2/7*x**3 + 0*x = 0.
-1, 0
Let -8/17*v + 0 + 6/17*v**3 - 8/17*v**2 = 0. What is v?
-2/3, 0, 2
Let r = 1 - 1. Suppose -5*n + 0*n = r. Let 2*t**3 + n*t**3 + 4*t**2 - t**4 - 5*t**2 = 0. Calculate t.
0, 1
Let h(p) be the second derivative of 0 - 1/9*p**3 + 0*p**2 + 1/30*p**5 + 0*p**4 - 4*p. Solve h(s) = 0 for s.
-1, 0, 1
Factor 0*p**4 + 6*p**4 - p**5 - p**2 + p**3 - 5*p**4.
-p**2*(p - 1)**2*(p + 1)
Let l = -5 - 0. Let z be 8/5*l/(-2). Solve z*s + 3*s + 2*s**2 - 5*s = 0.
-1, 0
Suppose -2*s - 22 - 46 = -4*z, -2*z - 70 = 3*s. Let o = s + 28. Factor -12/7*i**o + 0 + 2/7*i**3 + 48/7*i**4 + 32/7*i**5 + 2/7*i.
2*i*(i + 1)**2*(4*i - 1)**2/7
Suppose 2 = 3*v - 2*w, -5 = -4*v + 3*w - 3. Factor 4*q**2 + 2*q + 0*q**v - 3*q**2.
q*(q + 2)
Let z = -82 + 329/4. Factor -3/4*w**2 - 1/4*w + 0 - 3/4*w**3 - z*w**4.
-w*(w + 1)**3/4
Let c(t) be the third derivative of -3*t**8/28 + 2*t**7/5 - 8*t**6/15 + 4*t**5/15 - 5*t**2. Factor c(o).
-4*o**2*(o - 1)*(3*o - 2)**2
Let u = 106 - 736/7. Let m be 2/(-3)*(-6)/14. Determine p so that u*p + m*p**2 + 4/7 = 0.
-2, -1
Let k(g) = -g**2 + 6*g - 5. Let r(n) = 1. Let a(f) = -3*k(f) - 15*r(f). Suppose a(l) = 0. What is l?
0, 6
Let l(y) be the first derivative of 1/18*y**6 - 4 + 2/15*y**5 - 1/6*y**2 + 0*y**4 + 0*y - 2/9*y**3. Factor l(z).
z*(z - 1)*(z + 1)**3/3
Let f(r) be the first derivative of -2*r**5/5 - 3*r**4 - 8*r**3/3 + 6*r**2 + 10*r + 28. Factor f(h).
-2*(h - 1)*(h + 1)**2*(h + 5)
Let o be 3*(-4)/42 - 66/(-35). Factor -12/5*c**3 - 8/5*c**2 + 0 - 2/5*c**5 - o*c**4 - 2/5*c.
-2*c*(c + 1)**4/5
Let b = 5 + -2. Let u = -29/6 + 61/12. Factor 1/2*i**b + 1/4*i**5 + u - 3/4*i - 3/4*i**4 + 1/2*i**2.
(i - 1)**4*(i + 1)/4
Suppose -c + 4 = 2. Suppose 7*x = c*x + 10. Let j(a) = 10*a**3 + 7*a**2 + 7. Let r(w) = -3*w**3 - 2*w**2 - 2. Let s(o) = x*j(o) + 7*r(o). Solve s(m) = 0.
0
Let r(t) be the first derivative of t**8/2800 - 3*t**7/1400 + t**6/200 - t**5/200 - 5*t**3/3 - 4. Let w(x) be the third derivative of r(x). Factor w(m).
3*m*(m - 1)**3/5
Let v(q) be the second derivative of 5*q**7/84 + q**6/12 - 5*q**5/8 - 25*q**4/24 + 5*q**3/3 + 5*q**2 - 2*q + 19. Let v(x) = 0. What is x?
-2, -1, 1, 2
Let h(k) = k**3 + k - 1. Let l(i) = -2*i**4 - 9*i**3 - 10*i**2 + 3*i - 3. Let u(d) = 6*h(d) - 2*l(d). Find b such that u(b) = 0.
-5, -1, 0
Let z(d) be the first derivative of d**2 + 0*d + 2 - 2/3*d**3. Find c, given that z(c) = 0.
0, 1
Suppose 0 = -18*k - 3*k + 6*k. Factor -1/3*q**5 + 0*q + k + 0*q**3 + 0*q**2 + 1/3*q**4.
-q**4*(q - 1)/3
Let t(d) = 6*d**2 - 5*d - 2. Let k(y) = y**2 - y. Let c(i) = -5*k(i) + t(i). Let s(r) = r**2 - 3. Let v(j) = 3*c(j) - 2*s(j). Factor v(q).
q**2
Factor -7/3*p**4 + 0*p + 0 + 16/3*p**3 - 4/3*p**2.
-p**2*(p - 2)*(7*p - 2)/3
Suppose 8 = 2*d - 0*d. Factor -3*j**4 - 6*j + 0 + 4*j**4 + 6*j**3 + 2*j**d - 3.
3*(j - 1)*(j + 1)**3
Let f(t) be the first derivative of 0*t**3 - 1/18*t**6 + 0*t + 2 + 1/6*t**4 + 0*t**5 - 1/6*t**2. Factor f(p).
-p*(p - 1)**2*(p + 1)**2/3
Let n = -1799/5 - -361. Factor -n*i + 0 + 3/5*i**2.
3*i*(i - 2)/5
Suppose -4 = 5*m - m, 2*k = 5*m + 11. Factor -3/5*p**k + 0*p + 0 + 0*p**2.
-3*p**3/5
Let d(b) be the second derivative of -b**5/20 - b**4/6 - b**3/3 + b**2/2 - 2*b. Let k be d(-2). Factor 7/2*f**k + 0*f - 6*f**4 + 3/2*f**3 + f**2 + 0.
f**