d**3.
-4*d*(d + 1)**2*(d + 3)
Let f(q) be the second derivative of 0 - 1/20*q**5 - 118*q + 17/12*q**4 - 21/2*q**3 - 81/2*q**2. Factor f(l).
-(l - 9)**2*(l + 1)
Let d(r) = r**2 - 1194*r + 238762. Let z be d(254). Find y, given that 5/3*y**z + 50/3 - 127/3*y = 0.
2/5, 25
Suppose -11/3*z + 1/3*z**3 + 8/3*z**2 - 6 = 0. What is z?
-9, -1, 2
Determine n, given that -112*n - 548/3*n**2 - 93*n**3 - 27/2*n**4 - 64/3 = 0.
-4, -2, -4/9
Suppose 1373 = -3*i - 5*d, -5*i + 2*d = -4*i + 454. Let a = i - -3202/7. Factor 8/7*x**2 - a*x - 2/7*x**3 + 4/7.
-2*(x - 2)*(x - 1)**2/7
Let s(h) be the third derivative of -h**8/168 + 59*h**7/35 + 2*h**2 + 31*h. Find f such that s(f) = 0.
0, 177
Let i(s) be the first derivative of 21*s**5/20 + 993*s**4/16 + 181*s**3 + 135*s**2/2 + 3160. Suppose i(z) = 0. Calculate z.
-45, -2, -2/7, 0
Let p(g) be the second derivative of g**8/8400 - g**7/3150 - g**6/225 + 2*g**5/75 + 9*g**4/4 - 11*g - 2. Let m(i) be the third derivative of p(i). Factor m(b).
4*(b - 2)*(b - 1)*(b + 2)/5
Suppose 5*a + 1331 = 16*a. Suppose 16 = -113*v + a*v. Suppose -6/5*i + 2/5*i**v + 6/5*i**3 - 2/5*i**4 + 0 = 0. What is i?
-1, 0, 1, 3
Let f(v) = 4*v**4 + 3*v**3 - 5*v**2 + 2. Let c = 48 + -47. Let u = 3 - c. Let x(y) = y**3 - y**2 - y - 1. Let h(t) = u*x(t) + f(t). Factor h(k).
k*(k - 1)*(k + 2)*(4*k + 1)
Let n(i) be the second derivative of i**7/28 - 3*i**6/5 - 21*i**5/10 - i**4/4 + 27*i**3/4 + 21*i**2/2 - 3703*i - 1. Find b, given that n(b) = 0.
-1, 1, 14
Suppose -3*h + 45 = h + 11*h. What is r in -136/5*r**h - 56/5*r**2 - 4/5*r**5 - 44/5*r**4 + 20 + 28*r = 0?
-5, -1, 1
Let v be (-32)/(-432)*(-10641)/(-2). Let m = 395 - v. What is d in -m*d + 10/9 - 2/9*d**2 = 0?
-5, 1
Suppose 26*t = 118 - 456. Let y be (624/(-20))/t*20/8. Factor -6 + y*q + 3*q**3 + 21/2*q**2.
3*(q + 2)**2*(2*q - 1)/2
Suppose -3*o = 3*x - 219, 5*o + 0*o - x - 371 = 0. Find g such that 10 + 3*g**4 - 13*g**4 + o*g**3 + 40*g**2 - 64*g**3 - 3*g**5 + 35*g - 2*g**5 = 0.
-1, 2
Let j be 6*(-4)/(-8)*1. Factor -9*k**2 - 3*k**j + 0*k**2 + 4*k**2 - k**2.
-3*k**2*(k + 2)
Let a(y) be the second derivative of 2/3*y**4 + 0*y**2 - 5/3*y**3 + 28*y + 1/10*y**5 + 0. Suppose a(g) = 0. What is g?
-5, 0, 1
Factor -5*d**2 + 60*d + 2145*d + 2055*d - 149006 - 758374.
-5*(d - 426)**2
Let k(m) be the third derivative of 0*m - 14/27*m**3 - 1/12*m**4 - 62*m**2 - 1/270*m**5 + 0. Find x, given that k(x) = 0.
-7, -2
Let w(s) = s**3 + 9*s**2 + 19*s + 13. Let m be w(-6). Let v be 9/m + (-9 - (-136)/17). Factor 0 - v*l**4 + 0*l**2 + 0*l - 6/7*l**3.
-2*l**3*(l + 3)/7
Let h(n) = 5*n**2 + 1105*n + 2066. Let a(q) = -70*q**2 - 15455*q - 28925. Let k(u) = -4*a(u) - 55*h(u). What is t in k(t) = 0?
-207, -2
Let k(y) = 14*y**5 + 357*y**3 + 1195*y**2 + 859*y + 5. Let x(t) = 23*t**5 + 537*t**3 + 1792*t**2 + 1288*t + 8. Let a(c) = 8*k(c) - 5*x(c). Solve a(h) = 0 for h.
-4, -1, 0, 9
Determine s so that 77*s**2 - 397*s**2 - 1740*s - 5*s**3 - 70 + 70 = 0.
-58, -6, 0
Let y(u) be the second derivative of 0 + 13*u - 1/2*u**4 + 12*u**2 - 3/20*u**5 + 2*u**3. Determine b, given that y(b) = 0.
-2, 2
Let d(n) be the second derivative of -2 - 3/40*n**5 + 3*n**2 + 1/4*n**3 - 1/2*n**4 + 90*n. Factor d(v).
-3*(v - 1)*(v + 1)*(v + 4)/2
Let k(r) be the first derivative of -12*r**5/5 + 8*r**4 + 284*r**3/3 - 400*r**2 + 400*r - 1720. Suppose k(s) = 0. What is s?
-5, 2/3, 2, 5
Let l be -5 - (-4 - 25 - -22). Find s such that 0 - 3/7*s**l + 24/7*s = 0.
0, 8
Let t(x) = -16 + 20*x - 47*x**2 - 14*x**2 + 7 + 5*x**3 - 7*x. Let m be t(12). Factor 1/3*b**3 + 16/3 + m*b**2 + 8*b.
(b + 1)*(b + 4)**2/3
Let k(m) be the second derivative of -1/20*m**5 - 4*m + 1/10*m**6 - 1/6*m**4 + 0*m**3 + 0*m**2 + 1. Let k(i) = 0. What is i?
-2/3, 0, 1
Let k = 7065 - 7063. Let w(x) be the second derivative of 11*x + 0 + 1/2*x**3 + x**k + 1/12*x**4. Factor w(g).
(g + 1)*(g + 2)
Let i(h) be the first derivative of h**6/1890 + h**5/1260 - 5*h**4/126 - 274*h**3/3 + 60. Let f(x) be the third derivative of i(x). Factor f(u).
2*(u - 2)*(2*u + 5)/21
Suppose 5*d + m - 5 = 0, 4*d + 46 - 29 = -5*m. Factor 5*c**2 + 13 + 25*c + 199*c**3 + d - 204*c**3.
-5*(c - 3)*(c + 1)**2
Let x(v) = 5 - v**3 + 24*v - 11*v - 8*v - 4*v**2. Let b be x(-5). Determine c, given that 6*c**5 + 3 + 6*c**4 - 14*c**2 + 5 + 2*c**3 - 5*c**b - 3*c**5 = 0.
-1, 1, 2
Let x(o) be the third derivative of 5/6*o**3 + 0 + 0*o - 65/12*o**4 + 169/12*o**5 + 74*o**2. Let x(v) = 0. What is v?
1/13
Let r(o) be the first derivative of -25/6*o**6 + 41*o**5 + 0*o - 6*o**4 - 16*o**2 + 52 - 124/3*o**3. Suppose r(t) = 0. Calculate t.
-2/5, 0, 1, 8
Let y(h) = -h**4 - 1 - 29*h**3 + 60*h**3 - 32*h**3 + 2*h**2. Let j(q) = 4*q**4 - 4*q**3 - 50*q**2 - 66*q - 26. Let m(b) = j(b) + 2*y(b). Factor m(g).
2*(g - 7)*(g + 1)**2*(g + 2)
Determine x so that 568 + 558/5*x - 2/5*x**2 = 0.
-5, 284
Let m(y) be the third derivative of -1/16*y**4 + 3/8*y**3 + 1/240*y**5 + 0 + 0*y - 69*y**2. Let m(k) = 0. What is k?
3
Let a = 174561 - 1920165/11. Solve -2/11*x**2 + 8/11 - a*x = 0.
-4, 1
Let d(x) be the third derivative of x**7/35 + 5*x**6/12 - 3*x**5/5 - 27*x**4 + 72*x**3 - 3410*x**2. What is a in d(a) = 0?
-6, 2/3, 3
Let t be 25/(-275) - (-777)/924. Factor 1 + 1/8*c**2 - t*c.
(c - 4)*(c - 2)/8
Let s = 41266 - 41259. Let k(r) be the second derivative of -1/15*r**5 + 0*r**3 + 0*r**6 + 0*r**2 + 0 + 2/63*r**s + 21*r + 0*r**4. Factor k(g).
4*g**3*(g - 1)*(g + 1)/3
Let j(y) = 5*y**2 + 1420*y + 102270. Let b(s) = -2*s + 5. Let g(w) = -5*b(w) + j(w). Factor g(z).
5*(z + 143)**2
Let u(m) = 9*m**3 + 19*m**2 + 14*m. Let s be 24/2*5/4. Let g(q) = -35*q**3 - 75*q**2 - 55*q. Let t = 5125 - 5121. Let y(i) = s*u(i) + t*g(i). Factor y(z).
-5*z*(z + 1)*(z + 2)
Let i(d) be the first derivative of -5*d**3/12 - 75*d**2/8 + 85*d/2 - 4809. Solve i(g) = 0 for g.
-17, 2
Let u(x) be the second derivative of -25/2*x**3 + 27*x**2 - x + 2 + 3/2*x**4 + 3/20*x**5. Find c, given that u(c) = 0.
-9, 1, 2
Let s(i) be the third derivative of i**6/180 + 71*i**5/30 + 283*i**4/48 + 53*i**3/9 - 12*i**2 + 10*i. Find q, given that s(q) = 0.
-212, -1/2
Let q(l) = -17*l + 328. Let p be q(19). Let b be (-220)/p*3*(-5)/300. What is v in 0 + 1/5*v**4 - b*v**2 - 4/5*v**3 - 6/5*v = 0?
-1, 0, 6
Let l(m) be the second derivative of m**6/120 - m**5/4 + 9*m**4/8 - 13*m**3/6 + 10*m**2 + 29*m. Let v(k) be the first derivative of l(k). Factor v(h).
(h - 13)*(h - 1)**2
Let u be -2 + 286/(-330)*-3. Solve 3/5*c**2 + u*c**3 - 27/5 - 27/5*c = 0.
-3, -1, 3
Let p(s) = 326*s**2 - 567*s - 221. Let i(h) = 2*h**3 + 2934*h**2 - 5102*h - 1990. Let l(q) = 6*i(q) - 52*p(q). Suppose l(a) = 0. What is a?
-56, -1/3, 2
Let z be 2/(-35) - (-7490)/2450. Let n(u) be the second derivative of 1/40*u**5 - 1/4*u**2 + 23*u + 0 + 1/24*u**4 - 1/12*u**z. Suppose n(m) = 0. Calculate m.
-1, 1
Let a be -2*35/28*-2. Solve -l**5 + 16*l**4 + 12*l**3 - 14*l + l**5 - 16*l**2 + 2*l**a = 0.
-7, -1, 0, 1
Let y(v) = 154*v**3 - 43*v**2 + 34*v. Let m(q) = 62*q**3 - 22*q**2 + 18*q. Let n(p) = 5*m(p) - 2*y(p). Factor n(x).
2*x*(x - 11)*(x - 1)
Let a = 189 + -184. Determine v so that -70*v**2 - 34*v**3 + 22*v**3 - 28*v**3 + a*v**5 + 50 + 35*v + 20*v**4 = 0.
-5, -1, 1, 2
Let a be (-6192)/5418*(-3)/(-4) - (-166)/63. Factor -8/3 - a*b - 2/9*b**2.
-2*(b + 2)*(b + 6)/9
Let o be (0 + (-55)/44)*404/1. Let q = o - -6569/13. Find x, given that 2/13*x**3 + 2/13*x**4 + 0*x + 0 - q*x**2 = 0.
-2, 0, 1
Suppose 0 = 7*l - 318 - 228. Suppose l = 9*n - 867. Determine m, given that -2*m - 4 + 2*m**3 + 0 + 103*m**4 + 6*m**2 - n*m**4 = 0.
-1, 1, 2
Let z(r) be the third derivative of -r**7/320 - r**6/60 - r**5/80 - r**3 + 47*r**2. Let x(g) be the first derivative of z(g). Suppose x(c) = 0. Calculate c.
-2, -2/7, 0
Let l(n) = 51*n**2 + 108*n - 2924. Let f(w) = 89*w**2 + 216*w - 5846. Let x(u) = 4*f(u) - 7*l(u). Factor x(y).
-(y - 54)**2
Let z be (1 - (-3396)/480) + 0 + -8. Let r(x) be the third derivative of 0*x + z*x**6 + 9*x**2 - 1/20*x**5 + 0 - 1/70*x**7 + x**3 - 3/8*x**4. Solve r(n) = 0.
-1, 1, 2
Let p = 13843/2 + -7740. Let z = 819 + p. Factor 4*l - 8 - z*l**2.
-(l - 4)**2/2
Let n(k) = 3*k**2 + 1778*k - 1755. Let w(h) = -3*h**2 - 10*h. Let i(r) = -n(r) - 2*w(r). What is g in i(g) = 0?
1, 585
Let u(a) = 3*a**2 - 228*a + 648. Let x(b) = 7*b**2 - 441*b + 1296. Let j(p) = 13*u(p) - 6*