24/11*k**a - 30*k + 6/11*k**3 - 1/22*k**4. Determine d so that n(d) = 0.
2, 4
Let h(b) be the first derivative of 34/5*b - 53 + 16/5*b**2 - 2/15*b**3. Suppose h(y) = 0. Calculate y.
-1, 17
Let m(q) be the first derivative of 1/1440*q**6 + 0*q**2 - 1/24*q**4 + 0*q + 1/3*q**3 + 30 - 1/160*q**5. Let s(n) be the third derivative of m(n). Factor s(v).
(v - 4)*(v + 1)/4
Suppose -b - 18 = -4*x, -b - 3*x + x + 12 = 0. Suppose -5*c + 133 = b*c. Find m such that -9*m + m**2 - 6*m**2 + c*m = 0.
0, 2
Let i(j) be the third derivative of j**6/120 + 5*j**5/24 + 59*j**4/48 - 3*j**3 + 4756*j**2. Suppose i(d) = 0. What is d?
-9, -4, 1/2
Let p(x) = -x**3 - 7*x**2 - 11*x - 80. Let v(m) = -m**2 + m - 1. Let z(w) = p(w) - v(w). Let d(c) be the first derivative of z(c). Determine y so that d(y) = 0.
-2
Suppose -3*i - 20 = -4*m - 4, 0 = -m - 5*i + 4. Let g be (-8 + 5)/((-6)/m). Factor -51 + 29 + g*l**2 + 30 + 8*l.
2*(l + 2)**2
Let z(d) be the first derivative of 4*d**6/39 - 6*d**5/5 - 11*d**4/13 + 250*d**3/39 - 48*d**2/13 - 40*d/13 - 68. Solve z(m) = 0 for m.
-2, -1/4, 1, 10
Let t(p) be the first derivative of p**4/15 - 8*p**3/5 - 26*p**2/5 - 98*p + 90. Let h(z) be the first derivative of t(z). Factor h(w).
4*(w - 13)*(w + 1)/5
Let s(f) be the first derivative of -f**3/5 + 4107*f**2/5 - 5622483*f/5 - 959. Factor s(x).
-3*(x - 1369)**2/5
Let s(y) = y**2 + 2*y - 255. Let f be s(15). Let d(r) be the second derivative of f*r**2 - 3*r - 1/42*r**4 + 0 + 1/21*r**3. Factor d(k).
-2*k*(k - 1)/7
Let h(z) be the third derivative of 10/3*z**3 - 1/4*z**5 - 1/6*z**6 - 1/42*z**7 + 25*z**2 + 0*z + 0 + 5/6*z**4. Determine b, given that h(b) = 0.
-2, -1, 1
Let k(q) be the second derivative of -q**4/54 + 355*q**3/27 - 706*q**2/9 - 434*q + 2. Factor k(o).
-2*(o - 353)*(o - 2)/9
Let k(z) be the third derivative of -z**5/300 - 71*z**4/60 - 28*z**3/3 + 655*z**2 + z. Factor k(v).
-(v + 2)*(v + 140)/5
Let -114*r**2 + 1451*r**2 + 145*r**2 + 309*r**3 + 1176*r - 3*r**4 + 2*r**4 + 4*r**4 = 0. Calculate r.
-98, -4, -1, 0
Let d be 1 + 43/18 + (936/(-16) - -56). Find r such that 2/9*r**5 - d + 14/9*r**3 - 2/9*r**2 + 10/9*r**4 - 16/9*r = 0.
-2, -1, 1
Let q(n) = -7*n**2 + 1253*n - 2475. Let y be q(177). Determine z, given that -6*z - y - 5/3*z**2 = 0.
-3, -3/5
Suppose 31*g + 94*g**3 + 29*g**2 + 77*g**3 + 75*g**3 + 88*g**3 + g**4 - 30 - 365*g**3 = 0. What is g?
-1, 1, 30
Let h = -315297/140 + 9009/4. Let s(u) be the third derivative of -2*u**2 - 3/140*u**6 - 1/735*u**7 + 0*u**3 - h*u**5 + 0*u + 0 - 9/28*u**4. Factor s(t).
-2*t*(t + 3)**3/7
Suppose 4*z + 37*g = 34*g + 29, -3*z = 5*g - 41. Let y(p) be the second derivative of -7*p + 3/20*p**5 + 5/2*p**3 + 0 - 3*p**z - p**4. What is i in y(i) = 0?
1, 2
Let u be (-8)/2 - 68/(-8). Let x(d) be the first derivative of -6*d - 4 - d**3 - u*d**2. Factor x(o).
-3*(o + 1)*(o + 2)
Let f(c) be the first derivative of c**3/12 + 271*c**2/8 + 135*c/2 + 1054. Find l, given that f(l) = 0.
-270, -1
Let m(l) = 19*l - 357. Let o be m(19). Let i(d) be the second derivative of 25*d**3 - 32*d + 125*d**2 + 0 + 1/10*d**5 + 5/2*d**o. Factor i(f).
2*(f + 5)**3
Let z(r) be the second derivative of r**4/48 + 485*r**3/24 + 1499*r. Factor z(j).
j*(j + 485)/4
Let v(j) be the third derivative of j**5/30 + 602*j**4/3 + 1449616*j**3/3 - 4*j**2 + 326. What is n in v(n) = 0?
-1204
Suppose -5*g + g - 2*c = -2, 3*g + 6*c + 12 = 0. Let l**3 + 1/6*l**4 + 2*l**g + 1/2 + 5/3*l = 0. Calculate l.
-3, -1
Let v(z) be the second derivative of z**4/16 - 2*z**3 - 675*z**2/8 - 213*z + 1. Factor v(k).
3*(k - 25)*(k + 9)/4
Factor 10*n**2 - 151*n + 575*n**3 + 50 + 5*n**5 + 475*n**3 - 60*n**4 + 46*n - 950*n**3.
5*(n - 10)*(n - 1)**3*(n + 1)
Let n(p) be the first derivative of 7/4*p**4 - 77 + 0*p - 1/5*p**5 - 8*p**2 - 8/3*p**3. Factor n(s).
-s*(s - 4)**2*(s + 1)
Let y(z) = 2*z**2 + 289*z - 1184. Let j be y(4). Find r such that -1/2*r**j - 3/2 - r + r**3 + 2*r**2 = 0.
-1, 1, 3
Let k(b) = -b**3 - 7*b**2 - 2*b - 11. Let z be k(-7). Factor 0*s**z + s**3 + 6*s**2 - 3*s**4 + 5*s**3 - 3*s**3.
-3*s**2*(s - 2)*(s + 1)
Let s(o) = -15*o**2 + 5554*o + 6045. Let n(u) = -10*u**2 + 3680*u + 4030. Let i(z) = 7*n(z) - 5*s(z). Solve i(b) = 0 for b.
-1, 403
Suppose -11 = -4*r + 5*h - 0, h - 32 = -3*r. Suppose r*m - 17 = 28. What is o in -2 - 101*o**3 + 104*o**3 + o**2 + o**m + 3*o**4 + 2 = 0?
-1, 0
Determine c, given that 504/11 - 488/11*c**2 - 1350/11*c + 6/11*c**3 = 0.
-3, 1/3, 84
Let i(y) be the first derivative of y**4/14 - 86*y**3/21 - 6253. What is v in i(v) = 0?
0, 43
Let f(w) = -w**2 + 7*w + 6. Let g be f(0). Let r be 1*(-1)/2*(g - 12). Factor -6*y**3 - 39*y - 4*y**3 + 12 + 45*y**2 - 11*y**r + 3*y**4.
3*(y - 4)*(y - 1)**3
Let f(a) be the first derivative of -4*a**5/5 - 6*a**4 - 20*a**3/3 + 24*a**2 - 1227. Factor f(q).
-4*q*(q - 1)*(q + 3)*(q + 4)
Let n(v) be the first derivative of -v**5/5 + 9*v**4/4 - 9*v**3 + 27*v**2/2 + 343. Solve n(g) = 0 for g.
0, 3
Let m(b) be the third derivative of b**5/15 - 242*b**4/3 - 648*b**3 + 3*b**2 - 19*b - 3. Determine d, given that m(d) = 0.
-2, 486
Let t(y) = -y**3 + 4*y**2 + 9*y + 3. Let b be t(0). Let l(h) be the first derivative of 3/2*h + 1/6*h**b + 25 - h**2. Factor l(i).
(i - 3)*(i - 1)/2
Let a = -647781 + 1943347/3. Factor 10/9*v**2 - a*v + 0 - 2/9*v**3.
-2*v*(v - 3)*(v - 2)/9
Let m be 4 - 2 - 20/10 - -5. Factor -55*v - 65*v - 664 - 433 + 179 + 18 + 35*v**2 + m*v**3.
5*(v - 5)*(v + 6)**2
Suppose 0 = 26*m + 87 - 243. Let h(l) be the first derivative of 7/10*l**4 + 46 + 1/15*l**m + 2/5*l**5 + 2/5*l**3 + 0*l + 0*l**2. Factor h(f).
2*f**2*(f + 1)**2*(f + 3)/5
Let p = 203 - 199. Factor 5*v**3 + 2*v**p + 2*v**3 - 12*v**2 + 8*v - 9*v**3 + 16.
2*(v - 2)**2*(v + 1)*(v + 2)
Let j = 789/124 - 174/31. Let r(y) be the first derivative of j*y**4 + 7/30*y**6 - 11 + 0*y - 1/15*y**3 - 19/25*y**5 - 1/5*y**2. Find g, given that r(g) = 0.
-2/7, 0, 1
Let t(p) be the first derivative of p**6/40 + 3*p**5/20 - 23*p**2/2 + 60. Let n(w) be the second derivative of t(w). Let n(z) = 0. What is z?
-3, 0
Suppose 26*u = 21*u + 35. Suppose m = 3*j + 6, 4*m + j - 4 - u = 0. Determine y so that 11*y**2 - 3*y + y**m - 11*y**2 + 2*y**3 = 0.
-1, 0, 1
Let p(g) = -12*g**3 + 14*g**2 - 15*g**2 + 14*g + 3*g**3 + 2*g**2. Let c(q) = 80*q**3 - 10*q**2 - 125*q. Let s(x) = 4*c(x) + 35*p(x). Factor s(r).
5*r*(r - 2)*(r + 1)
Suppose 26*f - 21 = 135. Factor -2792*l + 40*l**2 - f*l**3 + 2717*l + l**3.
-5*l*(l - 5)*(l - 3)
Let w(q) be the first derivative of -q**4/10 - 364*q**3/15 + 183*q**2/5 - 5541. Factor w(c).
-2*c*(c - 1)*(c + 183)/5
Let l(z) be the first derivative of z**3/2 - 225*z**2/4 + 2301. Solve l(x) = 0 for x.
0, 75
What is z in 27/7 + 81/7*z**2 - 13/7*z**3 - 135/7*z = 0?
3/13, 3
Suppose 6*u + 19 = 11*u - 3*n, -u + 5*n = 5. Solve -2*o**2 + 10*o**2 - o**5 + 19*o**4 - 22*o**3 - 2*o**5 - 2*o**u = 0 for o.
0, 4/5, 1, 2
Let o = -24933 - -24933. Let r(t) be the third derivative of 1/4*t**4 + 23*t**2 + 0*t + 0*t**5 + 1/70*t**7 + o - 1/2*t**3 - 1/20*t**6. Factor r(w).
3*(w - 1)**3*(w + 1)
Let v = 2/95159 + 380622/666113. Factor -v*a**2 + 208/7 + 96/7*a.
-4*(a - 26)*(a + 2)/7
Suppose 0 - 78*g**2 - 3/7*g**3 + 1104/7*g = 0. Calculate g.
-184, 0, 2
Let i(u) be the second derivative of -1369*u**5/30 - 20683*u**4/18 - 2224*u**3/9 - 20*u**2 - 14*u - 93. Suppose i(c) = 0. Calculate c.
-15, -2/37
Factor -130*q + 5128*q**2 - 102*q - 3*q**5 - 29*q**4 + 2*q**5 - 64 - 5396*q**2 - 134*q**3 - q**5.
-(q + 2)**3*(q + 8)*(2*q + 1)
Suppose 2*o - 3096 - 466 = 0. Let r = 8917/5 - o. What is t in -r*t + 1/5*t**2 + 36/5 = 0?
6
Let c be (-8)/(-14) - (-320)/(-70). Let z be (-4 - c - 0)/(-1). Solve z*t**2 - 1/5*t**3 - 3/10*t**4 - 1/10*t**5 + 0 + 0*t = 0.
-2, -1, 0
Factor -366*z**2 - 2*z**3 + 637*z**2 + 6*z + 36 - 279*z**2.
-2*(z - 2)*(z + 3)**2
Let a(p) = -2*p**3 + 3*p**2 + 2*p. Let m(f) = -7*f**3 - 32*f**2 - 53*f - 25. Let s(t) = -a(t) + m(t). Factor s(x).
-5*(x + 1)**2*(x + 5)
Let d be -24*10*11/(-880). Let s(t) be the third derivative of 35*t**2 - 19/24*t**4 - 2/3*t**d + 0 - 1/10*t**6 - 7/15*t**5 + 0*t. Factor s(m).
-(2*m + 1)**2*(3*m + 4)
Let g(s) be the third derivative of s**8/6720 - s**7/140 - 19*s**6/720 - 67*s**4/24 + 92*s**2. Let y(n) be the second derivative of g(n). Solve y(j) = 0 for j.
-1, 0, 19
Let r = -64580 - -64644. What is g 