192/7 = 0.
2/3, 48
Let m(i) be the second derivative of 0*i**2 - 1/69*i**4 + 1/23*i**3 + 0 - 105*i. Factor m(r).
-2*r*(2*r - 3)/23
Let v(k) be the third derivative of k**7/150 + 83*k**6/1800 - k**5/150 - 7*k**4/12 - 259*k**2. Let g(h) be the second derivative of v(h). Factor g(q).
2*(q + 2)*(42*q - 1)/5
Let x(z) be the first derivative of -14/5*z**4 - 18/5*z**2 - 8/5*z - 64/15*z**3 - 24/25*z**5 - 10 - 2/15*z**6. Determine l, given that x(l) = 0.
-2, -1
Factor 40*r**3 + 37*r**2 - 161*r**2 + 121*r**4 - 352*r - 117*r**4 - 192.
4*(r - 4)*(r + 1)**2*(r + 12)
Let o = -16532 + 16534. Factor -6/7*z**o + 2/7*z - 2/7*z**3 + 6/7.
-2*(z - 1)*(z + 1)*(z + 3)/7
Let g = -428 - -610. Determine u so that 361 - g - 179 + 4*u + 74*u**2 = 0.
-2/37, 0
Let x = 28851620/17 + -1697146. Factor 0 + 142/17*m**2 + 48/17*m + x*m**3 - 2/17*m**5 + 42/17*m**4.
-2*m*(m - 24)*(m + 1)**3/17
Let g(k) be the first derivative of -55 - 48/5*k + 16/5*k**2 - 4/15*k**3. Factor g(y).
-4*(y - 6)*(y - 2)/5
Let t(h) = -h**2 - h. Let n(x) = -2*x + 0 - 16 + 10*x - 15. Let b be n(4). Let z(s) = 6*s**3 - 6*s**2 - 3*s. Let r(v) = b*z(v) - 3*t(v). Factor r(p).
3*p**2*(2*p - 1)
Factor 14/9*a**2 + 4/3*a + 0 + 2/9*a**3.
2*a*(a + 1)*(a + 6)/9
Factor -38/3*w - 20/3*w**2 + 0 - 1/6*w**3.
-w*(w + 2)*(w + 38)/6
Let m(o) = -5*o**2 - 39*o + 758. Let x be m(9). Factor 0 + 3*g**x - 9/2*g.
3*g*(2*g - 3)/2
Let p(x) = -324*x**2 - 15892*x + 15896. Let s(a) = 146*a**2 + 7063*a - 7065. Let z(g) = 9*p(g) + 20*s(g). Let z(q) = 0. Calculate q.
1, 441
Suppose -102441 = -414*n - 101613. Factor 37/2*y**n + 35/2 + 1/2*y**3 + 71/2*y.
(y + 1)**2*(y + 35)/2
Let t be (40 + -3)*(-2)/78. Let c = t + 937/741. Factor c*p**2 + 4/19 + 10/19*p.
2*(p + 1)*(3*p + 2)/19
Factor -239/4*u**3 + 0*u - 119/2*u**2 + 0 - 1/4*u**4.
-u**2*(u + 1)*(u + 238)/4
Let y = 13221863/7 - 1888836. Let a**4 - y*a**3 - 4/7 + 11/7*a - 3/7*a**2 = 0. What is a?
-1, 4/7, 1
Suppose -h = -f + 549, h + f + 561 = 6*f. Let m = 549 + h. Suppose -4/11 - 2/11*g**4 + 6/11*g**2 - 2/11*g + 2/11*g**m = 0. Calculate g.
-1, 1, 2
Determine n, given that -353*n + 1050*n - 361*n + n**4 + 11*n**2 - 352*n + 7*n**3 - 3*n**2 = 0.
-4, 0, 1
Let j(l) be the first derivative of 289*l**4/4 - 2516*l**3/3 + 834*l**2 - 288*l - 1550. Factor j(s).
(s - 8)*(17*s - 6)**2
Let d(b) be the second derivative of -b**4/24 + 722*b**3/3 - 521284*b**2 + 93*b - 4. Find x such that d(x) = 0.
1444
Determine g, given that -10 - 997*g - 135*g + 18 - 108300*g**3 + 74480*g**2 - 400*g = 0.
1/95, 2/3
Let x = -12921 + 12955. Let b(r) be the first derivative of -2/5*r - 1/10*r**2 + 1/15*r**3 - x. Factor b(y).
(y - 2)*(y + 1)/5
Let g be ((-24)/18)/(50/(-15)). Let k be (-14)/(-5) - -10*(-1)/5. Solve -2/5 - 4/5*p**3 + k*p + 0*p**2 + g*p**4 = 0 for p.
-1, 1
Let g(o) = 13*o**3 - 196*o**2 + 57*o + 130. Let a(s) = -12*s**3 + 195*s**2 - 57*s - 129. Let y be (-2 - -1)*81/(-27). Let v(z) = y*g(z) + 4*a(z). Factor v(j).
-3*(j - 21)*(j - 1)*(3*j + 2)
Let u be 5*(-6)/24*-8 - 20/4. Let d(k) be the first derivative of 19 + 1/11*k**2 - 6/11*k**3 - 2/11*k**u + 4/11*k - 13/22*k**4. What is i in d(i) = 0?
-1, 2/5
Suppose 0 = -2*d - 3*d + 10. Solve -156*r - 27*r**5 + r**5 - 99*r**4 + 177*r**3 + 5*r**5 + 27*r**d + 36 + 46*r**2 - 10*r**2 = 0.
-6, -1, 2/7, 1
Let k = -138 - -140. Suppose -14*s**k + s**3 + 14*s**2 + 6*s**2 = 0. Calculate s.
-6, 0
Let f(k) be the second derivative of k**4/28 - 127*k**3/14 + 915*k**2/7 - 3760*k. Let f(b) = 0. Calculate b.
5, 122
Suppose -929/3*p - 1/3*p**2 - 928/3 = 0. What is p?
-928, -1
Let w(u) be the second derivative of -u**6/60 - u**5/3 - 17*u**4/12 - 8*u**3/3 - 223*u**2/2 - 291*u. Let p(h) be the first derivative of w(h). Factor p(x).
-2*(x + 1)**2*(x + 8)
Let g(t) be the first derivative of 5/2*t**4 + 19 - 7*t**5 + 35/3*t**3 + 0*t - 5*t**2. Factor g(x).
-5*x*(x - 1)*(x + 1)*(7*x - 2)
Let j(f) be the first derivative of f**5/15 - 17*f**4/6 + 20*f**3 - 172*f**2/3 + 224*f/3 - 2499. Determine w, given that j(w) = 0.
2, 28
Solve -372*b**3 + 741*b**3 + 28*b**2 - 367*b**3 - 28 - 2*b = 0.
-14, -1, 1
Let q be -11 + 9 + 88/40. Let y(u) be the third derivative of 169/70*u**7 + 0*u**3 + 0 + 0*u + 0*u**4 + q*u**5 + 13/10*u**6 + 35*u**2. Factor y(x).
3*x**2*(13*x + 2)**2
Let l(b) be the second derivative of -b**4/36 - 37*b**3/6 + 56*b**2/3 + 395*b + 7. Determine h so that l(h) = 0.
-112, 1
Let k be (-978)/(-36) + 15/18. Factor 70*v - k*v**2 + 40 + 63*v**2 + 557*v**3 - 552*v**3.
5*(v + 1)*(v + 2)*(v + 4)
Let y(v) be the third derivative of -v**7/1470 + v**6/840 + 5*v**5/21 - 25*v**4/42 + 2239*v**2. Factor y(m).
-m*(m - 10)*(m - 1)*(m + 10)/7
Let i = 859 - 877. Let n be (-16)/i - 222/(-999). Find k such that -8/9*k - 2/9*k**3 - n*k**2 + 0 = 0.
-4, -1, 0
Suppose -4*d = -2*o - 12, 0 = 3*d - 2*o - 47 + 37. Let h(c) be the second derivative of -5/3*c**3 + 0 + 9*c + 0*c**d + 5/12*c**4. Factor h(k).
5*k*(k - 2)
Determine j, given that -1/2*j**4 - 1624*j**2 + 0 + 1568*j + 113/2*j**3 = 0.
0, 1, 56
Let f(v) be the second derivative of -v**5/25 - v**4/15 + 4*v**3/15 + 1563*v. Suppose f(z) = 0. Calculate z.
-2, 0, 1
Let z = 64 - -12. Let o = z - 21. Find i such that -o + 272*i**3 - 32*i**2 - 728*i**4 + 588*i**5 + 55 = 0.
0, 2/7, 2/3
Let b = -305 + 329. Let k be -3 - (-68)/b - 41/(-6). Factor -k*s - 10/3*s**3 + 5/3*s**4 - 35/3*s**2 + 0.
5*s*(s - 4)*(s + 1)**2/3
Let v be ((-1)/(-2))/((-94)/(-188)). Let m be 0/(2 + v + -5). Determine i, given that -2*i + m - 1/3*i**2 = 0.
-6, 0
Let d(z) be the first derivative of -338*z**3/3 - 234*z**2 - 162*z + 861. Find l such that d(l) = 0.
-9/13
Let a(q) = q**3 + 3*q**2 - q - 5. Let m be a(-4). Let z = 19 + m. Suppose 29*b + 7*b + 0 - 11 - 15*b**z - 1 = 0. What is b?
2/5, 2
Suppose 509 = 7*f + 971 - 490. Factor 1/2*v**f + 2*v**2 + 0 + 6*v - 7/2*v**3.
v*(v - 6)*(v - 2)*(v + 1)/2
Let p(i) be the second derivative of -71*i - 1587/10*i**3 + 0 - 69/20*i**4 - 3/100*i**5 - 36501/10*i**2. Factor p(q).
-3*(q + 23)**3/5
Solve 383*p - 872*p - 3*p**2 + p**2 + 7*p**2 + 404*p = 0 for p.
0, 17
Let b(z) be the second derivative of -z**4 + 200*z**3/3 + 136*z**2 + 248*z. Factor b(t).
-4*(t - 34)*(3*t + 2)
Let y(d) be the third derivative of 0 - 1/30*d**6 + 1/6*d**4 + 0*d - 1/15*d**7 + 0*d**3 + 26*d**2 + 7/30*d**5. Solve y(j) = 0 for j.
-1, -2/7, 0, 1
Let z = 15 + 7. Let a = z + -19. Let -18*o**4 - 14*o + 15*o**5 - 2 + a*o**5 + 48*o**4 - 4*o**3 - 28*o**2 = 0. What is o?
-1, -1/3, 1
Suppose 4*t - 4*d - 20 = 0, 75*t + 3*d - 5 = 73*t. Factor -35/6*h**t - 1/2 + 4/3*h**5 + 10/3*h - 25/3*h**2 + 10*h**3.
(h - 1)**4*(8*h - 3)/6
Let u = 1211401/120 - 10095. Let i(f) be the third derivative of 0*f**3 + 0 - 1/420*f**7 + 0*f - u*f**6 + 26*f**2 + 0*f**4 + 0*f**5. Factor i(v).
-v**3*(v + 2)/2
Determine s so that 170/3*s**2 - 7/3*s**3 - 16*s + 0 = 0.
0, 2/7, 24
Let y(b) be the first derivative of 2*b**7/21 - 4*b**6/15 + b**5/5 + 57*b - 43. Let j(a) be the first derivative of y(a). Factor j(v).
4*v**3*(v - 1)**2
Let m(a) be the second derivative of a**6/5 + 27*a**5/20 - 19*a**4/2 - 21*a**3/2 + 2302*a. Factor m(c).
3*c*(c - 3)*(c + 7)*(2*c + 1)
Let c be (-6)/(-2) + (-16 - -18). Suppose 3*b + l - 10 = 0, -5*l + 0 = c*b - 10. Factor -8*d**2 - 4*d**5 - 8 - 16*d**3 + 0*d**5 + 16*d**b + 20*d + 0*d**5.
-4*(d - 2)*(d - 1)**3*(d + 1)
Factor -45*f + 260/3 + 5/2*f**3 - 775/6*f**2.
5*(f - 52)*(f + 1)*(3*f - 2)/6
Suppose -2*h - 2 = 3*n, 0 = 5*h - 130*n + 129*n - 12. Find r, given that 3/2*r**h + 9 + 15/2*r = 0.
-3, -2
Let o(d) be the second derivative of 0*d**4 + 1/80*d**5 - 1/480*d**6 + 2/3*d**3 + 0 + 0*d**2 - 10*d. Let b(v) be the second derivative of o(v). Factor b(n).
-3*n*(n - 2)/4
Suppose 2*i + 2*y - 572 = 0, -2*i - y = -0*y - 573. Let q(x) = 2*x**3 - 7*x**2 + x. Let j be q(4). Factor 583 + 8*u**3 - i + 4*u - j*u**2 - 288.
4*(u - 2)*(u - 1)*(2*u + 1)
Suppose -10*o = 26*o + 252. Let y(x) = -57*x - 397. Let f be y(o). Let 0*a**f + 0*a + 4/7*a**3 + 0 + 2/7*a**4 = 0. Calculate a.
-2, 0
Let s(w) be the third derivative of 1/780*w**6 + 0 - 3/130*w**5 + 25/39*w**3 + 5/52*w**4 + 2*w**2 + 2*w. Find k such that s(k) = 0.
-1, 5
Let z(o) be the third derivative of -o**6/120 - o**5/12 + 17*o**4/12 + 40*o**3/3 + 30*o**2 + o. Factor z(g).
-(g - 5)*(g + 2)*(g + 8)
Suppose -108 = -2*l - 2*u, l - 3*u - 52 = 10. Suppose 5*v - 20 = -0*v. Solve 