 third derivative of m**5/60 - m**4/4 + 42*m**2. Let i be v(6). Factor 0 - s**3 + 0*s + 1/2*s**5 - 1/2*s**4 + i*s**2.
s**3*(s - 2)*(s + 1)/2
Let h(q) = -2*q**3 + 174*q**2 + 2*q - 179. Let m(n) = 3*n**3 - 174*n**2 - 3*n + 180. Let p(l) = -6*h(l) - 5*m(l). Suppose p(u) = 0. Calculate u.
-58, -1, 1
Let r = 2892 - 2888. Suppose -1/5*d**r + 3/5*d**3 + 1/5*d - 3/5*d**2 + 0 = 0. Calculate d.
0, 1
Let y = -16 - -45. Suppose 11 + y = 5*j. Factor j + 0 + 7*v**2 - 10*v - 5*v**2.
2*(v - 4)*(v - 1)
Factor 276 + 142*a + 68*a**3 - 70*a**3 - 68*a**2 - 68*a**2.
-2*(a - 2)*(a + 1)*(a + 69)
Let n(d) be the second derivative of d**4/4 + 3*d**3 + 27*d**2/2 - 2*d + 40. Find q, given that n(q) = 0.
-3
Let a(i) be the second derivative of i**6/15 + 13*i**5/10 + 20*i**4/3 + 670*i. What is p in a(p) = 0?
-8, -5, 0
Suppose -46*i + 328 - 328 = 0. Factor i + 2/13*o - 2/13*o**2.
-2*o*(o - 1)/13
Let w(t) be the first derivative of 5*t**4/4 + 50*t**3/3 + 135*t**2/2 + 90*t - 109. Factor w(m).
5*(m + 1)*(m + 3)*(m + 6)
Let k(t) = 6*t**3 + 10*t**2 + 23*t + 5. Let v(q) = 4*q**3 + 6*q**2 + 15*q + 3. Let f(s) = 5*k(s) - 7*v(s). Solve f(g) = 0 for g.
-2, -1
Suppose -5*a + f - 3*f = 12, f + 4 = -2*a. Let y = 6 + a. Factor -4 + 6*c**2 - 4*c**2 - y*c + 0*c**2.
2*(c - 2)*(c + 1)
Let v(o) be the second derivative of -o**7/168 + o**6/40 - 3*o**5/80 + o**4/48 + 194*o. Factor v(z).
-z**2*(z - 1)**3/4
Let x(b) be the third derivative of b**8/2184 + b**7/273 - b**6/780 - b**5/78 - 143*b**2. Let x(q) = 0. What is q?
-5, -1, 0, 1
Let f(r) be the second derivative of -21*r + 5/36*r**3 + 0*r**2 + 0 - 1/72*r**4. Find y, given that f(y) = 0.
0, 5
Let v(t) be the third derivative of -t**6/120 - 7*t**5/60 - 5*t**4/12 + t**3/3 - 6*t**2 + 4*t. Let r be v(-5). Suppose 3/4 + 1/2*j - 1/4*j**r = 0. What is j?
-1, 3
Let d(h) = 3*h**2 - 8*h - 11. Let s(l) = 2*l**2 - 5*l - 7. Let t(g) = -5*d(g) + 7*s(g). Solve t(x) = 0.
-1, 6
Let c(d) be the first derivative of 2*d**5/35 + 31*d**4/14 + 226*d**3/21 + 137*d**2/7 + 108*d/7 - 829. Let c(w) = 0. What is w?
-27, -2, -1
Let z(s) = -6*s**2 - 3*s + 3. Let a(n) = n**3 + 13*n**2 + 7*n - 7. Let k(t) = -3*a(t) - 7*z(t). Factor k(w).
-3*w**2*(w - 1)
Let s(w) be the first derivative of 2*w**3/3 - 300*w**2 + 45000*w + 421. Factor s(l).
2*(l - 150)**2
Let b(i) be the third derivative of 0*i**5 + 0 + 0*i**4 - 6*i**2 + 0*i + 0*i**6 - 1/1050*i**7 + 0*i**3. Find c such that b(c) = 0.
0
Factor 363/5*r - 1/5*r**5 - 1298/5*r**2 + 1331/5 - 362/5*r**3 - 33/5*r**4.
-(r - 1)*(r + 1)*(r + 11)**3/5
Let f be (45/20)/(-9)*-8*1. Factor -4*s - 237*s**2 + 243*s**f - 2*s**3 + 0*s**3.
-2*s*(s - 2)*(s - 1)
Let q = -6 + 8. Find m, given that -22*m**q + 26*m**2 + 7*m**4 - 18*m**5 - 26*m**3 + 33*m**4 = 0.
0, 2/9, 1
Let x(z) be the second derivative of 10/3*z**3 + 5/4*z**4 + 34*z - 10*z**2 + 0. Factor x(b).
5*(b + 2)*(3*b - 2)
Let c(r) be the first derivative of 22 - 4/15*r**3 - 4/5*r**2 + 32/5*r. Let c(z) = 0. Calculate z.
-4, 2
Let l = -2741 + 1890. Let v = l - -4273/5. Determine x so that -2*x - 4/5 + 12/5*x**2 + v*x**3 = 0.
-1, -1/3, 2/3
Suppose -d - 2*b = d - 6, -11 = -7*d + 3*b. Determine u, given that 2/7*u**4 - 400/7*u + 180/7*u**d + 250/7 - 32/7*u**3 = 0.
1, 5
Let i(j) be the first derivative of -j**4/12 + 32*j**3/9 - 58*j**2/3 + 112*j/3 - 16. Factor i(l).
-(l - 28)*(l - 2)**2/3
Let v(o) be the second derivative of -o**7/14 - 7*o**6/12 - 23*o**5/20 - o**4/8 + 11*o**3/6 + 2*o**2 - 2*o - 42. Suppose v(y) = 0. Calculate y.
-4, -1, -1/2, 2/3
Let v(a) be the first derivative of 2*a**5/55 + 3*a**4/22 - 10*a**3/33 - 3*a**2/11 + 8*a/11 + 440. Suppose v(x) = 0. Calculate x.
-4, -1, 1
Let d(w) be the third derivative of w**7/840 - w**6/20 + 3*w**5/5 + 35*w**2. Factor d(k).
k**2*(k - 12)**2/4
Let h(i) be the first derivative of 5120*i**3/3 + 480*i**2 + 45*i + 436. Factor h(s).
5*(32*s + 3)**2
Suppose 3*x = 5*d - 4, 5*d - x + 2*x = 12. Factor 23*m**2 - 42*m**2 + 16*m**d - 3*m.
-3*m*(m + 1)
Suppose 3*g - 3*n + 13 = 4, -26 = -3*g - 4*n. Solve 6*t + g*t**2 + 3*t**2 - t**2 - 2*t = 0.
-1, 0
Let m(o) be the second derivative of o**5/30 - o**4/18 - 5*o**3/9 - o**2 + 3*o - 10. Determine a so that m(a) = 0.
-1, 3
Factor 22/13*l**2 + 114/13*l + 90/13 - 2/13*l**3.
-2*(l - 15)*(l + 1)*(l + 3)/13
Let x(y) be the first derivative of -10 + 4*y**2 - 2/5*y**5 + 0*y**3 - 3/2*y**4 + 0*y. Determine g, given that x(g) = 0.
-2, 0, 1
Let m(b) = b**3 - 7*b**2 - b + 4. Let x be m(0). Factor 1/3*d**x + 1/3*d**3 + 0 - 2/3*d**2 + 0*d.
d**2*(d - 1)*(d + 2)/3
Let s(j) = 13*j**4 + 2*j**3 - 2*j**2 - 2*j. Let b(h) = 7*h**4 + h**3 - h**2 - h. Let v = -1 - 5. Let o(m) = v*s(m) + 11*b(m). Factor o(g).
-g*(g - 1)*(g + 1)**2
Let g(o) be the third derivative of o**8/30240 + o**7/11340 - o**6/648 + o**5/180 + 3*o**4/4 - 7*o**2. Let y(l) be the second derivative of g(l). Factor y(w).
2*(w - 1)**2*(w + 3)/9
Factor -1/5*h**3 - h**2 + 13/5*h - 7/5.
-(h - 1)**2*(h + 7)/5
Let d(q) be the first derivative of -q**6/24 - q**5/12 + 5*q**4/12 - q**2/2 + 20. Let x(w) be the second derivative of d(w). Factor x(b).
-5*b*(b - 1)*(b + 2)
Let m(r) be the second derivative of 0*r**2 + 2*r**4 + 0 + 18*r - 21/20*r**5 - 1/2*r**6 + 2*r**3. Find j, given that m(j) = 0.
-2, -2/5, 0, 1
Let a(h) = -h**2 + 2. Let g(w) = 10*w**2 - 26*w - 45. Let o(q) = -36*a(q) - 4*g(q). Factor o(x).
-4*(x - 27)*(x + 1)
Let d(s) = s - 4. Let n be d(6). Let z be (-1)/n*-2*10. Let z*g**2 + 1 + 1 - 8*g**2 + 4*g = 0. Calculate g.
-1
Let o be ((-198)/60 - -3)/1*(-5)/12. Determine t, given that 1/4*t + 1/8 + o*t**2 = 0.
-1
Suppose k - 9 + 44 = 2*y, 2*k = -10. Let w = -6 - -8. Factor 0*s**2 - 2*s**2 - 3*s**w - 7 - y*s - 3.
-5*(s + 1)*(s + 2)
Let y be (26*36/2106)/(2/3). Determine h, given that -y*h + 8/9 - 2/9*h**2 = 0.
-4, 1
Let v(o) = 2. Let p(q) = q**2 - 11. Suppose -m + y = -1 - 3, 4*m - 10 = y. Suppose 0*n = d - n + 9, 0 = m*d + 2*n + 22. Let b(r) = d*v(r) - 2*p(r). Factor b(z).
-2*(z - 1)*(z + 1)
Let s(z) be the first derivative of 0*z + 0*z**2 + 1/10*z**4 + 4/15*z**3 - 1. Let s(y) = 0. What is y?
-2, 0
Let c(l) be the second derivative of l**4/24 + 13*l**3/12 - 7*l**2/2 - 327*l. Factor c(u).
(u - 1)*(u + 14)/2
Determine l, given that -116*l**2 - 141*l + 140 - 10*l**3 - 41*l - 120*l = 0.
-7, -5, 2/5
Let m = -471 + 473. Factor m*w**2 - 24/5*w + 8/5.
2*(w - 2)*(5*w - 2)/5
Factor -8/3*l**2 - 2/9*l + 2/9*l**3 + 8/3.
2*(l - 12)*(l - 1)*(l + 1)/9
Let h be 4 + 77/(-22) - (-2)/(-12). Let m(f) be the second derivative of 0*f**2 - 1/10*f**5 - f - 1/15*f**6 + h*f**3 + 1/6*f**4 + 0. Factor m(u).
-2*u*(u - 1)*(u + 1)**2
Suppose 3*h + 0 - 6 = 0. Factor -11 + 24 + h*a + 4*a**3 - 9*a**2 - 13.
a*(a - 2)*(4*a - 1)
Factor 0 + 4/3*s + 2/3*s**2.
2*s*(s + 2)/3
Suppose -44 = 4*k - 68. Let v be ((-63)/(-56) + (-3)/(-8))/k. Suppose -1/2*g + 1/4*g**2 + v = 0. What is g?
1
Let i = -71 - -67. Let o be (3/30)/(i/(-32)). Factor -2/5*n**2 + o*n + 6/5.
-2*(n - 3)*(n + 1)/5
Let c(v) be the second derivative of v**7/280 + v**6/80 - v**4/16 - v**3/8 + 25*v**2 - 31*v. Let y(x) be the first derivative of c(x). Solve y(z) = 0.
-1, 1
Factor 80*w**2 - 56*w - 2524 + 2529 + 16*w.
5*(4*w - 1)**2
Let t(a) be the third derivative of -2*a**7/105 + a**6/15 + a**5/5 - 4*a**4/3 + 8*a**3/3 - 6*a**2 - 11. Find f such that t(f) = 0.
-2, 1, 2
Suppose 3*g + 0*f - 2*f = 19, 3*f + 11 = 2*g. Suppose g*a**2 - a**5 - 5*a**3 - 5*a**2 - 4*a**2 - 4*a**4 = 0. Calculate a.
-2, -1, 0
Let b be (-180)/(-24) - (-1)/2. Let m be -2 - (-1)/(b/28). Factor -3 - m*g**3 + 3/2*g + 3*g**2.
-3*(g - 2)*(g - 1)*(g + 1)/2
Let -529 + 23*s - 1/4*s**2 = 0. Calculate s.
46
Let h(z) be the third derivative of -1/90*z**6 + 1/18*z**4 + 4*z**2 + 0*z + 2/9*z**3 - 1/45*z**5 + 6. Factor h(k).
-4*(k - 1)*(k + 1)**2/3
Let r = 377 + -377. Let l(t) be the second derivative of 2/45*t**6 - 1/30*t**5 + r*t**3 + 6*t + 0*t**2 - 1/63*t**7 + 0 + 0*t**4. Solve l(d) = 0 for d.
0, 1
Factor 202*k**3 - 67*k**3 - 68*k**3 + 10*k - 8 - k**2 - 68*k**3.
-(k - 2)*(k - 1)*(k + 4)
Let r(j) be the second derivative of -7*j + 0*j**2 + 3/5*j**6 + 0 + 1/6*j**4 - 4/21*j**7 - 3/5*j**5 + 0*j**3. What is h in r(h) = 0?
0, 1/4, 1
Let l(i) be the second derivative of 3*i**5/20 - i**4 + i**3/2 + 9*i**2 - i + 4. Factor l(h).
3*(h - 3)*(h - 2)*(h + 1)
Let f(r) be the first derivative of r**5/210 - r**4/28 + 