third derivative of 5*m**2 + 0*m**3 + 0 + 0*m + 0*m**4 - 1/660*m**6 - 1/330*m**5. Factor n(q).
-2*q**2*(q + 1)/11
Let u = -32 - -40. Let g be 4 + -3*u/9. Factor -4/3 - 1/3*a**2 - g*a.
-(a + 2)**2/3
Suppose -q + 4*n - 18 = 0, 5*q = 5*n - 7*n + 20. Factor 18/7 - 34/7*z + 2/7*z**3 + 2*z**q.
2*(z - 1)**2*(z + 9)/7
Suppose 0 = -1218*t + 1216*t + 4. Let c(u) be the first derivative of 10 - u**t - 1/3*u**3 - u. Solve c(f) = 0 for f.
-1
Let f(p) = 8*p**3 - 12*p**2 - 4*p - 17. Let t(c) = -c**3 - c**2 - c. Let o(v) = f(v) - 4*t(v). Let r(k) be the first derivative of o(k). Factor r(x).
4*x*(9*x - 4)
Let g be (-66)/(-8) + (2 - (-18)/(-8)). Suppose 4*y**2 + 5*y + g*y + 2*y**3 - 11*y + 0*y**3 = 0. Calculate y.
-1, 0
Find x such that 294*x - 325*x - 2*x**2 + 311*x - 9800 = 0.
70
Let g(x) be the first derivative of x**4/4 + 46*x**3/3 - 49*x**2/2 - 94*x + 529. Factor g(w).
(w - 2)*(w + 1)*(w + 47)
Let j(x) be the third derivative of 12*x**2 + 0 - 1/120*x**5 + 0*x**4 + 0*x + 1/3*x**3. What is f in j(f) = 0?
-2, 2
Let y(f) be the first derivative of -4/5*f**5 - 3*f**4 + 22*f**2 + 4 + 4*f**3 + 24*f. Factor y(g).
-4*(g - 2)*(g + 1)**2*(g + 3)
Let p = -59261/24 - -7408/3. Suppose -1/8*s**2 + 1/8*s + 1/8 - p*s**3 = 0. Calculate s.
-1, 1
Let n(w) be the first derivative of 4/3*w**3 + 16*w**2 - 48*w - w**4 - 11. Factor n(x).
-4*(x - 2)**2*(x + 3)
Let x be (-55)/462 + 1/6. Let h(q) be the first derivative of 2/35*q**5 - x*q**6 + 1/14*q**4 - 2/21*q**3 + 0*q + 7 + 0*q**2. Factor h(t).
-2*t**2*(t - 1)**2*(t + 1)/7
Let g(q) be the first derivative of -q**6/120 + q**5/10 - 3*q**4/8 - 2*q**3/3 + 34. Let x(k) be the third derivative of g(k). Factor x(y).
-3*(y - 3)*(y - 1)
Determine q so that -2*q**2 + 10*q**2 - 7*q**2 + 4*q - 11 + 3*q + 3 = 0.
-8, 1
Determine i so that 11/6*i**4 + 2 + 16*i**3 - 7/3*i**5 - 26/3*i + 7/6*i**2 = 0.
-2, -1, 2/7, 1/2, 3
Let n(o) = -o**2 - 6*o + 20. Let b be n(0). Suppose 0 = -2*d + 7*d - b. Factor -2/7 + 8/7*u**3 + 8/7*u - 2/7*u**d - 12/7*u**2.
-2*(u - 1)**4/7
Let h(n) = -20*n**4 - 75*n**3 - 60*n**2 + 145*n - 25. Let u(y) = -y**4 - 2*y**3 - 2*y**2 + y - 1. Let s(f) = h(f) - 25*u(f). Determine i so that s(i) = 0.
-2, 0, 3, 4
Let j be (-82)/(-6) - (-49)/(-7). Suppose 4/3*d**4 + 0*d**3 + 0*d + 16/3 - j*d**2 = 0. Calculate d.
-2, -1, 1, 2
Let a(d) be the third derivative of 1/8*d**3 + 0*d + 0 + 1/320*d**6 + 0*d**5 - 19*d**2 - 3/64*d**4. Solve a(u) = 0.
-2, 1
Let t(o) be the second derivative of -1/6*o**4 + 9*o + 0 + 7/15*o**3 - 2/5*o**2. Determine x so that t(x) = 0.
2/5, 1
Suppose -2*u = -2*x - u - 1, -3*x - 4*u + 26 = 0. Let h be x/9 + 68/18. Factor 57*k**4 + 3*k**2 + k - 60*k**h - k.
-3*k**2*(k - 1)*(k + 1)
Factor -11*a**2 - 11*a - 5*a - 3*a - 4 - 5*a.
-(a + 2)*(11*a + 2)
Suppose -5*l**2 + 34 + 6*l - 18 + 6*l**2 + 11*l = 0. What is l?
-16, -1
Solve 0*t**2 + 12 + 63/5*t - 3/5*t**3 = 0 for t.
-4, -1, 5
Let c(b) be the third derivative of b**5/240 + 187*b**4/96 + 31*b**3/4 - 5*b**2 + 5. Solve c(t) = 0 for t.
-186, -1
Suppose 3*x**2 + 36 + 3*x**5 + 32*x - 10*x**3 - 3*x**4 + 5*x**3 - 22*x**3 + 28*x = 0. Calculate x.
-2, -1, 2, 3
Let y = 0 + 3. Factor -6*p - 15 - 4*p**2 - p**3 + 15 + 3*p**y.
2*p*(p - 3)*(p + 1)
Find c, given that -3/4*c**3 - 21/4*c + 15/4*c**2 + 9/4 = 0.
1, 3
Suppose 13 = -x + j, 2*x + 16 + 9 = j. Let m be 46/(-115) - x/10. Let 6/5*i + 24/5*i**2 + 14/5*i**3 - m = 0. Calculate i.
-1, 2/7
Suppose -h = u - 3, h - 5*h = -u + 13. Let -6/11*l + 8/11*l**3 - 4/11*l**2 + 0*l**4 + 4/11 - 2/11*l**u = 0. Calculate l.
-2, -1, 1
Let r be (9/12)/(5/20). Let x(c) = c**4 + c. Let f(l) = -5*l**4 - 2*l**3 - 4*l. Let j(h) = r*f(h) + 12*x(h). Find v, given that j(v) = 0.
-2, 0
Let z be 16/2*(-10)/(-28). Let a be (-1 + 1)/(170/51 - 63/27). Factor z*i**4 + a + 48/7*i**3 + 8/7*i + 36/7*i**2.
4*i*(i + 1)**2*(5*i + 2)/7
Let d be (-2)/(-120)*-359 + (93 - 87). Let r(u) be the third derivative of -1/60*u**4 + 8*u**2 - d*u**5 + 0*u**3 + 0*u + 0. Factor r(x).
-x*(5*x + 2)/5
Let x(b) be the first derivative of -5*b**4/4 - 20*b**3 - 135*b**2/2 - 35. Suppose x(n) = 0. What is n?
-9, -3, 0
Suppose 36 = -32*i + 36. Let k(u) be the second derivative of 0 + i*u**2 + 0*u**3 - 6*u + 0*u**4 + 1/60*u**5. Determine b so that k(b) = 0.
0
Let l(p) be the first derivative of 98*p**5/5 - 84*p**4 + 176*p**3/3 + 96*p**2 + 32*p + 7. Factor l(k).
2*(k - 2)**2*(7*k + 2)**2
Let b(m) = 15*m**2 - 570*m - 14065. Let w(j) = -j**2 + 2*j + 1. Let c(s) = b(s) + 20*w(s). Factor c(u).
-5*(u + 53)**2
Let z(h) be the first derivative of h**6/6 + h**5/3 - 4*h**4/3 - 8*h**3/3 + 8*h**2/3 + 16*h/3 + 321. What is m in z(m) = 0?
-2, -2/3, 1, 2
Let z(y) = 47*y**5 - 169*y**4 - 892*y**3 + 2671*y**2 + 1729*y + 256. Let k(q) = -2*q**5 - q**4 - q**2 + q. Let h(j) = 3*k(j) - 3*z(j). Solve h(p) = 0 for p.
-4, -2/7, 4
Let d(v) = -v**2 - 1. Let l(g) = 3*g**2 - 5*g + 9. Let q(h) = 4*d(h) + l(h). Let n be q(-5). Determine k, given that -2*k**2 + 2*k + 6*k**2 - n*k**2 = 0.
0, 2
Suppose 0 = 4*t + 3*t - 28. Determine b, given that -t*b**3 - 5*b + 8*b**2 + 6*b - 32 + 5*b + 10*b = 0.
-2, 2
Let u(t) = -t**3 - 15*t**2 + 121*t - 101. Let r be u(-21). Factor -2/13*a**2 + 0 + 2/13*a**r + 8/13*a - 8/13*a**3.
2*a*(a - 4)*(a - 1)*(a + 1)/13
Let b = -74 - -76. Determine y so that -2/5*y**b + 2/5*y**3 + 2/5 - 2/5*y = 0.
-1, 1
Let a(v) be the second derivative of 0 + 1/3*v**2 - 1/36*v**4 + 12*v + 1/18*v**3. Factor a(g).
-(g - 2)*(g + 1)/3
Determine h, given that 2/7*h**2 + 18/7*h - 44/7 = 0.
-11, 2
Let l(i) be the second derivative of 1/4*i**4 - 1/28*i**7 - 3/8*i**5 + 0*i**3 + 0*i**2 + 0 + 16*i + 1/5*i**6. Let l(w) = 0. Calculate w.
0, 1, 2
Let f(o) be the third derivative of o**5/30 + 7*o**4/6 + 136*o**2. Factor f(c).
2*c*(c + 14)
Suppose -l - 3 = -f, -2 = 2*l + 2*l - 2*f. Factor 2*x**l - 2 + 1 - x - 4*x**3 - x**2 + 5*x**3.
(x - 1)*(x + 1)**2
Suppose -3/8*h**2 + 75/8 - 9*h = 0. Calculate h.
-25, 1
Let o(u) be the second derivative of -u**9/7560 - u**8/1120 + u**6/90 + u**4/6 + 8*u. Let l(t) be the third derivative of o(t). Suppose l(z) = 0. What is z?
-2, 0, 1
Let l(d) be the third derivative of 0*d - 2/35*d**7 + 2/3*d**3 - 6*d**2 + 2/15*d**5 - 1/84*d**8 - 1/15*d**6 + 1/2*d**4 + 0. Determine g so that l(g) = 0.
-1, 1
Let a(l) be the first derivative of l**6/30 + 4*l**5/15 + 5*l**4/6 + 4*l**3/3 + 6*l**2 - 8. Let i(z) be the second derivative of a(z). Factor i(f).
4*(f + 1)**2*(f + 2)
Suppose 2*s = 5*s - 0*s. Suppose 2*k + 4 - 4 = s. Find a such that 1/2*a**2 + 0*a + k = 0.
0
Let w(p) = p + 6. Let g be w(-2). Factor -2*s**3 + 0*s**3 + s**2 + 110*s**g - s**5 - 107*s**4 - s**3.
-s**2*(s - 1)**3
Determine d, given that -6/17*d + 2/17*d**4 + 14/17*d**2 - 10/17*d**3 + 0 = 0.
0, 1, 3
Let m(l) be the third derivative of -l**8/896 - l**7/28 - 67*l**6/320 - 3*l**5/10 + 241*l**2 + 2*l. What is y in m(y) = 0?
-16, -3, -1, 0
Let u(q) be the second derivative of -q**7/210 + q**5/20 + q**4/12 - 35*q**2/2 + 19*q. Let o(x) be the first derivative of u(x). Let o(p) = 0. What is p?
-1, 0, 2
Let a(g) = 155*g**2 + 685*g + 700. Let i(l) = 45*l + 34 + 11*l**2 + 4*l + 16. Let v(w) = 6*a(w) - 85*i(w). Factor v(q).
-5*(q + 1)*(q + 10)
Let j(g) = -9*g**3 + 3*g**2 + 6*g + 6. Let q(x) = 2*x**3 - x - 1. Let c(r) = j(r) + 6*q(r). Factor c(y).
3*y**2*(y + 1)
Let g be -17 + 40/75*33. Factor 6/5*d**2 - 3/5*d + g*d**3 - 6/5.
3*(d - 1)*(d + 1)*(d + 2)/5
Let x(h) = h**2 - 6*h + 5. Let d be x(5). Let i be (24/16)/(11 + -5). Factor -1/4*c**3 + 0 + d*c**2 + i*c.
-c*(c - 1)*(c + 1)/4
Suppose 4*y = -5 + 17. Factor -12*s + 36*s**2 + y*s - 3 - 3*s.
3*(2*s - 1)*(6*s + 1)
Let a = 95 - 94. Let c(h) = -8*h**5 + 6*h**4 + 2*h**3 - 2*h**2 - 10. Let o(u) = u**5 - u**4 + u**3 + u**2 - u + 1. Let g(x) = a*c(x) + 6*o(x). Factor g(y).
-2*(y - 2)*(y - 1)*(y + 1)**3
Let d(p) = -5*p**3 + 41*p**2 + 14*p + 1. Let m(j) = 2*j**3 + j**2 + 2*j + 1. Let v(z) = -d(z) + m(z). Suppose v(t) = 0. Calculate t.
-2/7, 0, 6
Let i be ((-140)/(-8) - (34 - 22))*(-32)/(-44). Find d, given that -2/5*d + 1/5*d**i + 2/5*d**3 - 1/5 + 0*d**2 = 0.
-1, 1
Let y(x) be the first derivative of 40*x**3 + 16*x**4 + 32*x**2 + 13 + 11/5*x**5 - 16*x. Factor y(h).
(h + 2)**3*(11*h - 2)
Let f be ((-4)/14 + 33/42)/(5075/4350). Solve f*h**4 + 2/7 + 3/7*h + 1/7*h**3 - 9/7*h**2 = 0.
-2, -1/3, 1
Let w(l) be the second derivativ