ivative of -m**6/180 + m**5/15 - 2*m**4/9 - 124*m. Factor u(h).
-h**2*(h - 4)**2/6
Let -407*x - 56*x**2 - 464*x + 823*x - 2*x**4 - 8*x**3 - 12*x**3 = 0. Calculate x.
-6, -2, 0
Let q = 2640 + -5449/2. Let h = q - -85. Factor 9/2 - 3/2*x - h*x**3 - 5/2*x**2.
-(x - 1)*(x + 3)**2/2
Let o = 18 - 13. Suppose -5*c - 5*z + 25 = 0, -o*c - 2*z = -4 - 15. Suppose -6*s + 9*s**4 + 2 - c - 8*s**5 + 12*s**5 + 2*s**3 - 8*s**2 = 0. What is s?
-1, -1/4, 1
Solve 18 + 27*m**2 - 177*m**3 + 19*m + 183*m**3 + 20*m = 0.
-2, -3/2, -1
Let g = -29 + 31. Solve -5*o**g + 0*o + 3*o - 9*o - 9*o = 0 for o.
-3, 0
Let q(p) be the third derivative of -p**5/90 + p**4/6 + 7*p**3/9 - 103*p**2. Find a such that q(a) = 0.
-1, 7
Let a(m) be the first derivative of -m**4/26 + 4*m**3/13 + 36*m**2/13 + 80*m/13 + 313. Find h, given that a(h) = 0.
-2, 10
Determine i, given that 8/3 + 56/9*i + 10/9*i**2 - 22/9*i**3 = 0.
-1, -6/11, 2
Let z(o) be the first derivative of 5*o**3/3 - 35*o**2 - 255*o - 92. Let z(h) = 0. Calculate h.
-3, 17
Let q be -2*3*(-4 - -14 - 7). Let n be (13/9 + -1)/((-4)/q). Determine j so that -2/3 - 4*j**n - 8/3*j**3 - 8/3*j - 2/3*j**4 = 0.
-1
Let o(a) be the first derivative of -47/5*a**5 + 125*a - 175/2*a**2 - 127/2*a**4 - 1/2*a**6 - 170*a**3 - 10. Factor o(h).
-(h + 1)*(h + 5)**3*(3*h - 1)
Solve -2/3*g + 2/3*g**3 - 1/3*g**2 + 1/3 = 0.
-1, 1/2, 1
Suppose -20*m + 39 = -41. Let c(p) be the first derivative of -m + 0*p**2 - 1/16*p**4 - 3/20*p**5 + 0*p**3 + 1/6*p**6 + 0*p. Factor c(h).
h**3*(h - 1)*(4*h + 1)/4
Factor -3645/4 - 5/4*o**2 - 135/2*o.
-5*(o + 27)**2/4
Let i(r) be the first derivative of r**4 - 124*r**3 + 4416*r**2 - 8464*r - 150. Determine p so that i(p) = 0.
1, 46
Let o(a) be the second derivative of -a**6/120 + 3*a**5/40 - a**4/6 - 7*a. Factor o(c).
-c**2*(c - 4)*(c - 2)/4
Let u(p) be the third derivative of p**5/240 + 5*p**4/48 - 11*p**3/24 + 4*p**2 - 12. Let u(m) = 0. Calculate m.
-11, 1
Let k(u) be the third derivative of u**6/60 + 7*u**5/10 + 13*u**4/4 + 19*u**3/3 + 291*u**2. Factor k(y).
2*(y + 1)**2*(y + 19)
Let y be (5/(14 + -4))/(-1 - -2). Let g(b) be the first derivative of 4/15*b**5 - 6 - b**2 - 2/9*b**3 - 2/3*b + y*b**4. Determine w, given that g(w) = 0.
-1, -1/2, 1
Let c(m) = -10*m - 9. Let p be c(-9). Solve -36 + 6*v**2 + p + 2*v**3 - 43 + 6*v = 0 for v.
-1
Let m(i) be the third derivative of -i**8/84 - 22*i**7/105 - 17*i**6/15 + 8*i**5/15 + 80*i**4/3 + 256*i**3/3 - i**2 - 422. Factor m(z).
-4*(z - 2)*(z + 1)*(z + 4)**3
Let w(y) = -4*y**3 + 10*y**2 - 11*y - 10. Let z(p) = -7*p**3 + 19*p**2 - 21*p - 22. Let t(h) = 10*w(h) - 6*z(h). Suppose t(v) = 0. Calculate v.
-1, 4
Factor 49680/7*z**2 + 291600/7*z + 324000/7 - 3/7*z**5 + 258/7*z**4 - 7032/7*z**3.
-3*(z - 30)**3*(z + 2)**2/7
Suppose -76 + 298 = 4*r + 2*c, -220 = -4*r - 4*c. What is h in -h**3 + h**5 - 54*h**4 + r*h**4 - 2*h**3 = 0?
-3, 0, 1
Suppose 56*y - 66*y**3 - 32 - 28*y**2 - 80*y**3 + 150*y**3 = 0. What is y?
1, 2, 4
Let o(l) be the first derivative of 2*l**5/5 - 33*l**4 + 130*l**3/3 - 609. Factor o(d).
2*d**2*(d - 65)*(d - 1)
Let g(l) be the first derivative of 2*l**3/3 - 2*l + 7. Let i(u) = 3*u**2 - 3. Let f(c) = 4*g(c) - 3*i(c). Solve f(a) = 0.
-1, 1
Suppose -24*d - 24 = -30*d. Suppose -5*t - 6*t = -d*t. Find p such that -2/5*p**3 + 0 - 4/5*p**2 + t*p = 0.
-2, 0
Suppose -5*w = 3*p + 17, -19 = 4*p - 2*w - 5. Let v be (-16 + 18 - p/18) + -2. Factor 0 + 8/3*d**2 + v*d**4 + 16/9*d + 4/3*d**3.
2*d*(d + 2)**3/9
Let u be ((16 + -1)/5 - 6) + 4 + 3. Solve -324/5*l**u - 216/5*l**5 + 198/5*l**3 + 0 - 7*l**2 + 2/5*l = 0 for l.
-2, 0, 1/6
Let s(u) = u**2 - 3*u - 5. Let g be (-1)/((-1)/5*1). Let c be s(g). Determine k so that 8*k - 4*k**3 + 4*k**3 + c*k**2 + k**3 + 4 = 0.
-2, -1
Determine g, given that 4/5 + 1/5*g**2 - g**3 + 8/5*g + 1/5*g**5 - 1/5*g**4 = 0.
-1, 2
Factor 59 + 154 - 123 + 275*v - v**2 + 16*v**2.
5*(v + 18)*(3*v + 1)
Let g(z) be the third derivative of -z**8/1680 - z**7/150 - 11*z**6/600 + 7*z**5/300 + z**4/10 - z**2 - 330. Find c, given that g(c) = 0.
-4, -3, -1, 0, 1
Let n = 3296/2463 - 4/821. Find f such that -4/3*f**2 + 0 - n*f = 0.
-1, 0
Factor -6*c**2 - 2*c**3 - 1/4*c**4 - 8*c - 4.
-(c + 2)**4/4
Suppose 4*o - 17 = 3*h - 0, -4*h + 52 = 4*o. Let r = -5 + o. Let -5*j**r + j**3 + 0*j + 5 + 3 + 12*j = 0. What is j?
-1, 2
Let m = 171 - 1195/7. Let p = 4/7 - m. Solve 0 + p*z - 2/7*z**2 = 0.
0, 1
Let s be 44/40 + (-39)/130. Factor s - 2/5*w**2 + 2/5*w.
-2*(w - 2)*(w + 1)/5
Let q be (-4)/(-10) - (-4252)/(-5). Let w be (-2)/(-4) + 25/q. Determine f so that -2/17*f**2 - w*f - 8/17 = 0.
-2
Let l(f) be the first derivative of -f**3 + 522*f**2 - 90828*f - 644. Factor l(k).
-3*(k - 174)**2
Let z(q) be the first derivative of 3*q**2 + 13 + 3*q - 27/16*q**4 - 3/4*q**3. Solve z(t) = 0 for t.
-2/3, 1
Suppose 35*y = 33*y + 4. Let n(a) be the second derivative of -1/6*a**4 + 2/3*a**3 - a**y - 6*a + 0. Factor n(u).
-2*(u - 1)**2
Let i = -1865 + 298401/160. Let o(w) be the third derivative of -1/80*w**5 + 4*w**2 + 1/16*w**4 - i*w**6 + 0*w + 0*w**3 + 0. Let o(d) = 0. Calculate d.
-2, 0, 1
Let o(t) be the third derivative of 0 + 1/20*t**5 - 1/8*t**4 + 0*t**3 + 7*t**2 + 0*t. Determine a, given that o(a) = 0.
0, 1
Suppose a = 46 - 14. Let q be a/3*-3*(-2)/18. Factor -32/9*y + 0*y**2 + q - 2/9*y**4 + 8/9*y**3.
-2*(y - 2)**3*(y + 2)/9
Let f(n) = 478*n**3 + 2120*n**2 + 896*n + 104. Let z(v) = -159*v**3 - 705*v**2 - 299*v - 35. Let l(w) = 3*f(w) + 8*z(w). Suppose l(i) = 0. What is i?
-4, -2/9
Factor 0*k**2 + 0 - 36/5*k**4 + 4/5*k**5 + 0*k + 32/5*k**3.
4*k**3*(k - 8)*(k - 1)/5
Let j(v) be the third derivative of -v**5/450 - v**4/6 - 5*v**3 - 248*v**2. Factor j(s).
-2*(s + 15)**2/15
Let m(p) be the first derivative of -85/2*p**2 - 33 + 35/4*p**4 - 80/3*p**3 + 30*p. Factor m(g).
5*(g - 3)*(g + 1)*(7*g - 2)
Let y(j) be the first derivative of -j**6/90 + j**5/30 + j**4 - 2*j**3 - 15. Let a(z) be the third derivative of y(z). Factor a(p).
-4*(p - 3)*(p + 2)
Let v(q) = -q**2 - 3*q. Let l be v(3). Let c(b) = -2541*b**3 - 2175*b**2 + 318*b + 6. Let h(u) = u**3 + u - 1. Let d(n) = l*h(n) - c(n). Factor d(k).
3*(k + 1)*(29*k - 2)**2
Let o be ((-14)/4)/7*-14. Let x = o + 7. Determine f so that 7*f**4 + x*f**4 - 22*f**4 + f**2 = 0.
-1, 0, 1
Determine u so that 21*u + 5*u - 2*u**3 - 14*u - 2*u**2 = 0.
-3, 0, 2
Let l(d) be the second derivative of -d**5/10 + 4*d**4/3 - 16*d**3/3 + 12*d - 2. Let l(b) = 0. What is b?
0, 4
Let u(b) be the first derivative of b**3/9 - 187*b**2/3 + 34969*b/3 + 55. Factor u(h).
(h - 187)**2/3
Let z(k) be the third derivative of -k**6/720 - k**5/180 + k**4/48 - 101*k**2. Determine g so that z(g) = 0.
-3, 0, 1
Factor -2*f**3 + 0*f**3 - 88*f**2 + 46*f**2 + 40*f**2.
-2*f**2*(f + 1)
Let y(z) be the first derivative of -z**6/6 + z**5/10 + 5*z**4/4 + 2*z**3/3 - 2*z**2 + 8*z - 1. Let h(x) be the first derivative of y(x). Factor h(m).
-(m - 2)*(m + 1)**2*(5*m - 2)
Let q be -2 + (5/(-2))/((-10)/24). Let a be ((-3 - -5) + 10)/(78/q). Factor 2/13*b**2 + a*b - 2/13*b**3 - 8/13.
-2*(b - 2)*(b - 1)*(b + 2)/13
Factor 2/7*x**4 + 8/7*x**3 + 6/7*x**2 - 8/7*x - 8/7.
2*(x - 1)*(x + 1)*(x + 2)**2/7
Let j(p) be the second derivative of -p**6/144 - p**5/72 + 5*p**4/72 - 7*p**2 - 15*p - 2. Let d(o) be the first derivative of j(o). Factor d(f).
-5*f*(f - 1)*(f + 2)/6
Let q be (-4 + (-30440)/(-7604))*2/(-6). Let m = q - -34240/20911. Suppose 12/11*z - m - 2/11*z**2 = 0. Calculate z.
3
Let d(m) be the third derivative of -m**6/24 - 5*m**5/6 + 83*m**2. Find n such that d(n) = 0.
-10, 0
Factor 405 + 1/5*a**2 - 18*a.
(a - 45)**2/5
Let r(t) = 16*t**3 + 110*t**2 - 2*t - 16. Let n(f) = -31*f**3 - 221*f**2 + 4*f + 34. Let k(x) = 2*n(x) + 5*r(x). Factor k(a).
2*(a + 6)*(3*a - 1)*(3*a + 1)
Let i(g) be the first derivative of g**6/30 + g**5/5 + g**4/3 + 6*g**2 - 3. Let n(y) be the second derivative of i(y). Factor n(h).
4*h*(h + 1)*(h + 2)
Let c = -3400 - -13609/4. Let -21/8*x**2 + 0 - 3/2*x**5 + 21/8*x**4 - 3/4*x + c*x**3 = 0. Calculate x.
-1, -1/4, 0, 1, 2
Let x = 2382 - 2379. Let 2/9*p**x + 2/3*p**5 - 10/9*p**4 + 2/9*p**2 + 0*p + 0 = 0. What is p?
-1/3, 0, 1
Let k = 127 - 123. Suppose 2*r - 5*i - 8 = -k*i, 4*i = 3*r - 12. Determine m so that -4/7*m**3 + 1/7*m + 3/7*m**5 + 2/7*m**2 + 0 - 2/7*m**r = 0.
-1, -1/3, 0, 1
Let h(f) b