m**4 - 92*m**3 = 0.
-2, 0, 3/10, 1
Let f(g) be the third derivative of 0*g**4 + 0*g**5 + 0*g**3 - 1/7*g**7 + 5/336*g**8 - 153*g**2 + 0 + 0*g + 5/24*g**6. Factor f(c).
5*c**3*(c - 5)*(c - 1)
Let x(r) be the first derivative of -r**6/24 - 785. Factor x(s).
-s**5/4
Let c be -4*3/18 + (-14)/(-3). Let i(r) be the third derivative of 1/15*r**5 + 0 + 0*r**3 + 1/21*r**c - 7*r**2 + 0*r + 1/42*r**6. Factor i(f).
4*f*(f + 1)*(5*f + 2)/7
Suppose -5*w + 231 = 4*r - 14, -2*r + 5*w = -145. Factor 28*i**3 - 131*i**5 + r*i**5 - 32*i**4 + 70*i**5.
4*i**3*(i - 7)*(i - 1)
Let j be 3/(-6)*((0 - 1) + 5/20). Solve j*h**3 + 5/8*h + 0 - 1/8*h**4 + 9/8*h**2 = 0.
-1, 0, 5
Let z = -1276838/63 - -182408/9. Let 38/7*k + 0 - z*k**2 = 0. Calculate k.
0, 19
Factor 3087/4*m**2 + 3/4*m**3 - 6183/4*m + 3093/4.
3*(m - 1)**2*(m + 1031)/4
Let p = 102595/83 - 1236. Let t = p - -69/166. Factor 2*j + t*j**5 + 0 + 6*j**2 + 13/2*j**3 + 3*j**4.
j*(j + 1)**2*(j + 2)**2/2
Suppose 0 = 14*x + 109 - 683. Let f(u) be the second derivative of x*u + 0 - u**5 - 4/3*u**4 + 4/15*u**6 + 2*u**3 + 0*u**2. Determine i so that f(i) = 0.
-1, 0, 1/2, 3
Let r = 317 - 327. Let h be 9/((-1575)/112)*r. Factor -h*b**2 - 52/5*b**4 + 68/5*b**3 + 4/5 + 14/5*b**5 - 2/5*b.
2*(b - 1)**4*(7*b + 2)/5
Let j be 6 - -4 - 7/(308/240). Let -120/11*a - 24/11*a**3 - 2/11*a**4 - 92/11*a**2 - j = 0. Calculate a.
-5, -1
Let c(z) be the first derivative of -13*z**5 + 85*z**4/4 + 110*z**3/3 - 20*z**2 + 384. Find f, given that c(f) = 0.
-1, 0, 4/13, 2
Let h(i) = 4*i**2 - 6*i + 46. Let o be h(6). Determine a, given that 5*a**2 + 20 + 50*a + 52*a - o*a = 0.
2/5, 10
Let j be (1/(-22))/(-3 + 21/6)*-33. Factor 3/5*g**2 - 12/5*g**j - 3/5*g**4 + 12/5*g + 0.
-3*g*(g - 1)*(g + 1)*(g + 4)/5
Let t(j) be the second derivative of -5*j**4/12 + 13790*j**3/3 - 19016410*j**2 + 16*j + 320. Find y, given that t(y) = 0.
2758
Let m(t) be the first derivative of -25*t**6/6 - 3*t**5 + 685*t**4/4 + 585*t**3 + 270*t**2 - 540*t + 85. Determine w so that m(w) = 0.
-3, -1, 2/5, 6
Let z(r) be the second derivative of -r**6/195 + 6*r**5/65 - 7*r**4/26 + 10*r**3/39 + 10*r + 441. Factor z(u).
-2*u*(u - 10)*(u - 1)**2/13
Let y = 17924 - 17921. Let a(v) be the second derivative of 0 - 81/2*v**2 - 1/30*v**6 - 18*v**y - 3/5*v**5 - 9/2*v**4 + 39*v. Factor a(o).
-(o + 3)**4
Factor -13872 - 55692*c - 3267/4*c**2 - 3*c**3.
-3*(c + 136)**2*(4*c + 1)/4
Factor -2/3*s**5 - 416/3*s**2 - 274/3*s - 284/3*s**3 - 68/3 - 76/3*s**4.
-2*(s + 1)**4*(s + 34)/3
Let o(q) be the first derivative of -2/5*q**3 - 2/25*q**5 - 186 + 0*q + 3/10*q**4 + 1/5*q**2. Factor o(n).
-2*n*(n - 1)**3/5
Determine m so that -45 - 1/2*m**2 + 23/2*m = 0.
5, 18
Let k = 514026 - 1542026/3. Find s such that 0 + 128/3*s**3 - 164/3*s**4 + 0*s + k*s**5 - 16/3*s**2 = 0.
0, 2/13, 1, 2
Let g(v) be the first derivative of 2/75*v**5 + 2/45*v**3 + 0*v + 1/15*v**4 + 0*v**2 - 69. Solve g(w) = 0 for w.
-1, 0
Suppose -w - 3*b = -0*b + 5, 3*b - 25 = -4*w. Suppose h + 4 = -4*d + w, 6 = 2*d - h. Factor -14*g - d*g**3 + 18*g - 2*g**3.
-4*g*(g - 1)*(g + 1)
Factor 3/8*t**2 + 98283/8 + 543/4*t.
3*(t + 181)**2/8
Let f be (2 - 3)*(-10)/5. Find k such that -2*k**2 + 12*k + k**2 - 4*k**f + 6*k**2 + 36 = 0.
-6
Suppose -8*o + 2*o = 24. Let f be (112/12 + -4)*(-6)/o. Let -12*r**2 - 175*r**3 + 4*r + 178*r**3 + f*r = 0. What is r?
0, 2
Let j(n) = -4*n**3 + 100*n**2 - 442*n - 544. Let z(d) = -4*d**3 + 102*d**2 - 441*d - 544. Let r(f) = -3*j(f) + 2*z(f). Factor r(l).
4*(l - 17)*(l - 8)*(l + 1)
Let g(l) = -17*l**4 - 10*l**3 + 63*l**2 + 64*l + 8. Let t(i) = -i**4 + i**3 - i + 1. Let u = 160 + -159. Let y(v) = u*g(v) + 4*t(v). Solve y(p) = 0 for p.
-1, -2/7, 2
Suppose -5*r + 10 = 0, -5*r + 61 = 5*k - 2*r. Let z = k - 7. Find g, given that -2*g**3 - 6*g - 3*g**2 - 4*g + 4 + g**z - 11*g + 25*g = 0.
-1, 2
Let m(w) be the first derivative of 3/2*w - 53 - 9/16*w**4 + 9/8*w**2 - 3/20*w**5 - 1/4*w**3. Find v, given that m(v) = 0.
-2, -1, 1
Suppose -5*b - c = 15, 5*b - 2*c = -0*c - 15. Let m be 12*1/3 + (b - -1). Solve -10/3*u + m + 2/3*u**2 + 2/3*u**3 = 0.
-3, 1
Let f be (256/(-80))/((-4)/(-10)). Let z be 10/f - (-1743)/332. Suppose -32/7*h**4 + z*h + 80/7*h**3 - 4/7 - 72/7*h**2 = 0. Calculate h.
1/2, 1
Let f be 93/6 + 3/6. Factor -28*t**4 - 3*t**5 - 6*t**2 - 15*t**3 + 1 + f*t**4 - 1.
-3*t**2*(t + 1)**2*(t + 2)
Let z(n) be the third derivative of 1/5*n**3 + 1/200*n**6 + 3*n**2 - 1/40*n**4 + 0*n + 3 - 1/50*n**5. Solve z(s) = 0 for s.
-1, 1, 2
Let b(c) be the third derivative of 1/45*c**6 + 0 + 1/90*c**5 + 0*c - 85*c**2 + 0*c**3 - 1/12*c**4. Suppose b(m) = 0. Calculate m.
-1, 0, 3/4
Suppose 90 = 5*p + 3*v, 0 = p + 3*p + 3*v - 75. Factor x**2 + p*x**2 - x**3 - x**3 + 7*x - 21*x.
-2*x*(x - 7)*(x - 1)
Let p(h) be the third derivative of 0 + 1/390*h**5 - 2*h**2 - 16/13*h**3 - 47/156*h**4 - 67*h. Factor p(g).
2*(g - 48)*(g + 1)/13
Let s(z) be the third derivative of -3/20*z**4 - 3/5*z**3 + 3*z**2 + 4*z + 0 + 1/150*z**5 + 1/300*z**6. Factor s(p).
2*(p - 3)*(p + 1)*(p + 3)/5
Let k = 175745 - 175745. Factor 6/17*t + k + 2/17*t**2.
2*t*(t + 3)/17
Factor 0 + 26/7*a**2 - 2/7*a.
2*a*(13*a - 1)/7
Let q be ((-12)/(-62))/(1544/5983). Factor 0 + 9/4*l**3 + q*l**2 - 3*l.
3*l*(l - 1)*(3*l + 4)/4
Let c(n) = n**4 - 2*n**3. Let j(h) = -h**5 + 51*h**4 - 582*h**3 + 968*h**2. Let l(k) = 15*c(k) - 3*j(k). Determine f so that l(f) = 0.
0, 2, 22
Let m(z) be the second derivative of -z**6/150 + 9*z**5/100 - z**4/3 + 2*z**3/5 - 160*z + 6. Factor m(r).
-r*(r - 6)*(r - 2)*(r - 1)/5
Let o(u) = -5*u**2 - 5*u + 8. Suppose 8*s + 4*s + 24 = 0. Let n(w) = -16*w**2 - 16*w + 25. Let t(v) = s*n(v) + 7*o(v). Factor t(a).
-3*(a - 1)*(a + 2)
Let b(t) = -25*t**4 + 3*t**2 + 1. Let a(y) = 2*y**2 - 15*y + 10. Let p be a(7). Let n(s) = 7 - p - 3 - s**2. Let r(g) = -3*b(g) + 3*n(g). What is j in r(j) = 0?
-2/5, 0, 2/5
Let a be ((-171)/38)/(14/(-12) + 1). Let d = 28 - a. Determine v, given that 1 - 61*v**3 - 18*v + 12*v**2 - d + 59*v**3 + 8 = 0.
1, 4
Let i(b) = b**2 + 4. Let h(f) = -6*f**2 - 3352*f - 702252. Let o(y) = h(y) + 2*i(y). Factor o(w).
-4*(w + 419)**2
Let g = 750 - 743. Let o be (-8)/g*(-371)/106. Find m, given that 36/5*m**2 + 12/5*m + 0 + 3/5*m**5 + 39/5*m**3 + 18/5*m**o = 0.
-2, -1, 0
Suppose -5*f + 6 = -5*n + 1, -f - n + 3 = 0. Factor 3*h**4 + 18*h**2 + 16*h**3 - 5*h**4 - 566*h + 598*h - 58*h**f.
-2*h*(h - 4)*(h - 2)**2
Solve 1234/11*d**5 + 1230/11*d**2 - 1238/11*d**3 + 4/11*d - 1230/11*d**4 + 0 = 0 for d.
-1, -2/617, 0, 1
Let w(d) = -d**3 + 1. Let o(u) be the first derivative of -2*u**4 - u**3 + 9*u - 250. Let k(r) = -3*r. Let m be k(6). Let q(x) = m*w(x) + 2*o(x). Factor q(l).
2*l**2*(l - 3)
Let u(a) be the second derivative of a**4/60 - 7*a**3/2 + 984*a + 2. Let u(d) = 0. Calculate d.
0, 105
Let j(h) be the first derivative of -5*h**6/6 + 48*h**5 - 455*h**4/2 + 1340*h**3/3 - 885*h**2/2 + 220*h + 1263. What is a in j(a) = 0?
1, 44
Factor -861*t - 731*t + 1478*t - 45*t**2 + 63.
-3*(t + 3)*(15*t - 7)
Suppose -11*p + 5*p + 72 = 0. Suppose -p*l + 1013 - 29 = 0. Factor 81*u**2 + l*u**2 + 6*u**3 + u**4 - 160*u**2 + 2*u**4.
3*u**2*(u + 1)**2
Let x = -17517 + 87589/5. Suppose 2*t - 11 + 5 = 0. Factor x*a**t - 4/5*a - 6/5*a**2 + 6/5.
2*(a - 1)*(a + 1)*(2*a - 3)/5
Let b(s) = -8*s**3 - 98*s**2 - 106*s - 31. Let l(x) = 24*x**3 + 294*x**2 + 320*x + 90. Let n(r) = 8*b(r) + 3*l(r). Suppose n(w) = 0. What is w?
-11, -1, -1/4
Let h(v) = 5*v**2 + 13*v + 77. Let g be h(-17). Let -g*k + 1301*k - 4*k**3 - 24*k**2 = 0. What is k?
-6, 0
Let o = 524 - 179. Let x = o + -342. Find p, given that 6/11*p**2 + 0*p - 2/11*p**x - 8/11 = 0.
-1, 2
Let h = 776 + -773. Factor 7 - k**2 - 34 - 30*k - 5*k**2 + h*k**2.
-3*(k + 1)*(k + 9)
Let y(p) be the second derivative of -p**7/84 - 2*p**6/5 - 5*p**5/4 + 50*p**4 - 375*p**3/4 + 3218*p. Let y(w) = 0. What is w?
-15, 0, 1, 5
Let d(k) be the first derivative of -4*k**5/5 + 67*k**4 + 1120*k**3/3 + 568*k**2 + 1565. Factor d(a).
-4*a*(a - 71)*(a + 2)**2
Let h be (-690)/(-18)*3 + 1. Solve -2*s**3 + 1 - 18*s + 104*s**2 - h*s**2 - 1 = 0.
-3, 0
Let g(o) = 2*o + 35. Let a be g(-15). Let j be (-20)/a - -106 - 4. Factor 240*w**3 - 122*w + j*w + 192*w**4 - 81 - 219*w - 108*w**2.
3*(w - 1)*(4*w + 3)**3
Factor 3/5*p**4 - 12/5*p**2 - 9/5*p**3 + 0 + 0*p.
3*p**2*(p - 4)*(p + 1)/5
Let h(