 - u**4 = 0?
-1, 1
Let s(m) be the second derivative of -m**4/78 + m**3/39 + 6*m**2/13 - 15*m - 11. Factor s(a).
-2*(a - 3)*(a + 2)/13
Solve -8*p**3 - 2 - p**3 + 33*p + 6*p**3 + 20 + 12*p**2 = 0.
-1, 6
Let j = -1 - -5. Suppose 17 = 4*v - w, -w + 0 = 3*v - j. Factor b**v + 5*b - 5*b - b.
b*(b - 1)*(b + 1)
Let d(s) be the first derivative of -3*s**4 - 28*s**3/3 + 36*s**2 - 32*s + 86. Find r such that d(r) = 0.
-4, 2/3, 1
Suppose 5*l + 2*n - 70 = 3*n, 5*n + 20 = 3*l. Factor 5*y**2 - l*y**3 - 10*y**2 - 15*y**4 + 0*y**5 - 5*y**5.
-5*y**2*(y + 1)**3
Let g(b) be the first derivative of b**4/4 - 11*b**3/3 + 35*b**2/2 - 25*b - 109. Factor g(z).
(z - 5)**2*(z - 1)
Suppose 73*f = 76*f - 6. Factor 3/4*o + 3/8 + 3/8*o**f.
3*(o + 1)**2/8
Let n(y) = 12*y**3 - 9*y**2 - 14*y. Let k(u) = -4*u**3 + 3*u**2 + 5*u. Let z be 50/(-15) + 2/(-3). Let o(x) = z*n(x) - 11*k(x). Find r such that o(r) = 0.
-1/4, 0, 1
Factor -4/5*w - 2/5*w**2 + 32.
-2*(w - 8)*(w + 10)/5
Let b = -299 + 299. Let h(m) be the second derivative of 0*m**3 - 1/120*m**6 + 0*m**2 - 1/80*m**5 + 2*m + 1/168*m**7 + b + 1/48*m**4. Let h(g) = 0. Calculate g.
-1, 0, 1
Let g be ((-63)/(-140) - (-1)/(-5))*48/39. Find y, given that 0 + 2/13*y**2 + 4/13*y - 2/13*y**4 - g*y**3 = 0.
-2, -1, 0, 1
Let r(i) = i**4 - i**3 + i - 1. Let o(c) = 8*c**4 - 8*c**3 - 9*c**2 + 20*c - 11. Suppose 20 = -0*q + 4*q. Let z(f) = q*r(f) - o(f). Find y, given that z(y) = 0.
-2, 1
Let n(x) be the second derivative of -14*x - 3/20*x**5 + 0 + 11/48*x**4 + 0*x**2 + 1/24*x**3. Find r such that n(r) = 0.
-1/12, 0, 1
Determine g so that 5/2 - 2/3*g**3 - 1/6*g**4 + 14/3*g + 5/3*g**2 = 0.
-5, -1, 3
Let o(g) = g**3 - 3*g + 3. Suppose 2*h - 4*b - 4 = 0, -2 = h + 4*b - 4. Let l be o(h). Factor -l + 10*a**4 + 5 + 10*a**3 - 4*a**4 - 4*a**2.
2*a**2*(a + 2)*(3*a - 1)
Let g(p) be the second derivative of 2/3*p**3 - p**2 + 0 - 1/6*p**4 - 6*p. Factor g(f).
-2*(f - 1)**2
Let d(w) = 13 + 4 - 2 + 2 + w. Let c be d(-12). Factor c*x**4 - 3*x**5 - 3*x**5 + 5*x**5 + 5*x**2 - 2*x - 9*x**3 + 2*x**2.
-x*(x - 2)*(x - 1)**3
Let f(g) be the second derivative of -g**4/8 - 111*g**3/2 - 36963*g**2/4 + 285*g. Solve f(z) = 0 for z.
-111
Let l(h) be the second derivative of h**6/900 + h**5/75 + h**4/15 + 17*h**3/6 - 3*h. Let c(s) be the second derivative of l(s). Let c(a) = 0. Calculate a.
-2
Let y(r) be the first derivative of -r**4 - 44*r**3/3 - 48*r**2 + 144*r - 94. Factor y(p).
-4*(p - 1)*(p + 6)**2
Let n = -12135 - -109223/9. Factor -10/9*l + 2/9*l**5 + 8/9*l**3 - 4/9*l**2 + n*l**4 - 4/9.
2*(l - 1)*(l + 1)**3*(l + 2)/9
Suppose d + 7*w = 6*w + 3, -3*d + 2*w = -14. Factor 0*b - 8/5*b**d + 0 + 0*b**2 - 4/5*b**5 - 4/5*b**3.
-4*b**3*(b + 1)**2/5
Suppose 0 = -v - 5*a + 4*a + 8, -4*v + a = -47. Suppose -v*z = -6*z - 20. Find l such that 0 + 2*l**2 - 18/7*l**3 - 4/7*l - 2/7*l**5 + 10/7*l**z = 0.
0, 1, 2
Let n(l) be the second derivative of -1/2*l**4 + 1/2*l**2 + 0*l**3 + 0 - 1/10*l**6 + 8*l + 2/5*l**5. Factor n(r).
-(r - 1)**3*(3*r + 1)
Determine v so that 2/13*v**2 + 0 + 2/13*v = 0.
-1, 0
Let o(v) = -v + 2. Suppose 12 = 4*d - 8, -2*d = -5*s - 10. Let q be o(s). Factor 12 - 5 - 3 + 4*g + g**q.
(g + 2)**2
Let x(g) be the second derivative of g**5/4 - 5*g**4/12 - 5*g**3/3 + 10*g + 3. Solve x(m) = 0 for m.
-1, 0, 2
Let k = 234 - 228. Let f(v) be the first derivative of 0*v + 0*v**3 - 5 + 0*v**4 + 0*v**2 - 1/4*v**k + 3/10*v**5. Determine m so that f(m) = 0.
0, 1
Let a(r) be the second derivative of -r**7/126 + 2*r**6/45 - r**5/15 - r**4/18 + 5*r**3/18 - r**2/3 - 11*r + 2. Factor a(p).
-(p - 2)*(p - 1)**3*(p + 1)/3
Let c(a) be the second derivative of -a**4/4 + 7*a**3/2 + 27*a**2 - 27*a. Determine g so that c(g) = 0.
-2, 9
Let v be (10 - 10) + -1 + 1. Suppose 6*f - f - 10 = v. Factor 4*c + 3*c**2 - 6 - 4*c**2 + f.
-(c - 2)**2
What is c in 7/2 - 11*c - 5*c**3 + 1/2*c**4 + 12*c**2 = 0?
1, 7
Let r(d) be the first derivative of -4*d**5/25 - 3*d**4 + 109. Suppose r(m) = 0. Calculate m.
-15, 0
Let n(y) be the first derivative of 1/39*y**3 + 0*y**2 - 2 + 0*y**4 + 3*y - 1/130*y**5. Let h(l) be the first derivative of n(l). Factor h(j).
-2*j*(j - 1)*(j + 1)/13
Let m(s) be the first derivative of 12*s - 1 + 8*s**2 - 8/9*s**3 + 4/15*s**5 - 4/3*s**4. Factor m(d).
4*(d - 3)**2*(d + 1)**2/3
Let p = 3 + 2. Suppose 0 = -p*h - 3*b + 10, -h = -3*h - 4*b + 4. What is q in -6*q - 3 - h*q**3 + q**4 + 8*q**3 - 3*q**4 + 5*q**4 = 0?
-1, 1
Factor 4/7 + 1/7*h**3 - 3/7*h**2 + 0*h.
(h - 2)**2*(h + 1)/7
Let o(x) be the third derivative of x**7/630 - 7*x**6/45 + 139*x**5/30 - 18*x**4 - 243*x**3/2 - 57*x**2 + 8*x. What is j in o(j) = 0?
-1, 3, 27
Suppose 4*m = -3 - 1, -5*i = -3*m - 8. Factor 21*y**2 - 2*y + 26*y - i + 4.
3*(y + 1)*(7*y + 1)
Let g(l) be the third derivative of -3*l**6/8 + 73*l**5/10 + 11*l**4/2 - 20*l**3 + 76*l**2. What is w in g(w) = 0?
-2/3, 2/5, 10
Let l be 2/8*(160/30 - 4). Let x(z) be the third derivative of 0*z - 1/15*z**5 + 4*z**2 - l*z**3 + 1/4*z**4 + 0. Factor x(d).
-2*(d - 1)*(2*d - 1)
Suppose -8/5*o - 6/5*o**3 - 16/5*o**2 + 4/5*o**4 + 2/5*o**5 + 0 = 0. What is o?
-2, -1, 0, 2
Let u(f) be the third derivative of f**8/3360 - f**7/840 - f**6/720 + f**5/120 + 3*f**3/2 - 50*f**2. Let d(k) be the first derivative of u(k). Factor d(h).
h*(h - 2)*(h - 1)*(h + 1)/2
Suppose -25 = -5*j, -15 = -5*p - j + 3*j. Let v = 16 - 7. Let 4*u**3 - p*u**2 - 3*u - u - 4 + v*u**2 = 0. What is u?
-1, 1
Let n(k) = 4*k**2 - 9*k + 39. Let q = -63 + 61. Let r(l) = -3*l**2 + 10*l - 38. Let a(c) = q*n(c) - 3*r(c). Solve a(o) = 0 for o.
6
Suppose 2*a + 8 = 3*a. Let q(g) = g**2 - 9*g + 16. Let b be q(a). Factor b*m**4 - 2*m**5 + 27*m**4 - 90*m**3 - 40*m - 3*m**5 + 100*m**2.
-5*m*(m - 2)**3*(m - 1)
Let a(h) = -h**3 + 25*h**2 - 47*h + 14. Let f(b) = 24*b**2 - 48*b + 12. Let t(p) = 4*a(p) - 3*f(p). Find w, given that t(w) = 0.
1, 5
Let h be (1/(-6))/((330/(-9))/11). Let s(r) be the second derivative of -h*r**5 + 0 - r + 0*r**2 + 1/12*r**4 + 0*r**3. Find b such that s(b) = 0.
0, 1
Let l be 160/70 - 10/35. Let y(z) be the second derivative of -2*z - 1/2*z**4 - 1/6*z**5 - 1/45*z**6 - 7/9*z**3 - 2/3*z**l + 0. Factor y(i).
-2*(i + 1)**3*(i + 2)/3
Suppose -q**3 - 26*q**2 + 4*q**2 - 36*q - q**3 + 14*q**2 + 26*q**2 = 0. What is q?
0, 3, 6
Let k(y) be the first derivative of 27*y**5/35 + 1143*y**4/14 + 16381*y**3/7 + 2286*y**2 + 756*y + 345. Factor k(a).
3*(a + 42)**2*(3*a + 1)**2/7
Let g(b) be the first derivative of -16/9*b**3 + 1/3*b**4 + 24*b + 20 - 2*b**2. Let g(i) = 0. What is i?
-2, 3
Let f(i) = -2*i**2 - 4*i + 4. Let l(d) = -5*d**2 - 11*d + 12. Let q(a) = 8*f(a) - 3*l(a). Let j(w) = 2*w**2 - 2*w + 9. Let n(x) = 6*j(x) + 13*q(x). Factor n(k).
-(k - 2)*(k + 1)
Let a(z) be the second derivative of -z**3/2 - 23*z**2/2 - 11*z. Let r be a(-9). Factor 4/3*n**2 - 2/3*n**r + 2/3*n - 4/3*n**3 - 2/3 + 2/3*n**5.
2*(n - 1)**3*(n + 1)**2/3
Find m, given that 231*m**3 + 114*m**4 + 143*m**3 - 1680*m - 1568 + 1186*m**3 + 1454*m**2 + 2*m**5 + 118*m**3 = 0.
-28, -1, 1
Let v(q) be the third derivative of -1/30*q**6 + 1/15*q**5 + 0 + 1/3*q**4 + 0*q + 0*q**3 + 26*q**2. Factor v(m).
-4*m*(m - 2)*(m + 1)
Let -6*p**5 + 298*p**2 + 68*p + 166*p**4 + p - 5*p + 410*p**3 - 4*p = 0. Calculate p.
-1, -1/3, 0, 30
Let i = -12 + 77/6. Let t(l) be the second derivative of -9/2*l**5 + 0*l**2 - l + i*l**6 - 13/3*l**4 + 0 + 125/42*l**7 - 4/3*l**3. Solve t(x) = 0.
-2/5, 0, 1
Let v(u) be the third derivative of -1/90*u**5 + 0*u - 16*u**3 + 2/3*u**4 + 0 - 32*u**2. Factor v(m).
-2*(m - 12)**2/3
Factor -13/3*y - 2 - 1/3*y**3 - 8/3*y**2.
-(y + 1)**2*(y + 6)/3
Let c(o) be the first derivative of o**7/420 - o**5/40 - o**4/24 - 13*o**2/2 + 15. Let d(y) be the second derivative of c(y). What is f in d(f) = 0?
-1, 0, 2
Factor -69 + 5*i**2 + 123 - 74 + 20*i + 0*i**3 - 5*i**3.
-5*(i - 2)*(i - 1)*(i + 2)
Let d(n) = -n**2 - 9. Let l(w) = -w**2 - w - 10. Let b(u) = 6*d(u) - 5*l(u). Suppose b(r) = 0. What is r?
1, 4
Factor -22*c**3 - 10*c + 3 + 10*c + 6*c + 6*c**4 + 17 - 42*c**2.
2*(c - 5)*(c + 1)**2*(3*c - 2)
Let q(r) = -r**2 + 0*r**2 - 5 + 2*r**2 - 2*r**2 - 3*r**3 - 5*r. Let w(t) = -12*t**3 - 3*t**2 - 21*t - 21. Let y(u) = 21*q(u) - 5*w(u). Solve y(m) = 0.
-2, 0
Let c(d) = 2*d**2 + 40*d + 3. Let u(g) = -g**2 - 40*g - 4. Let q = 99 + -96. Let l(n) = q*u(n) + 4*c(n). L