= 605*t**3 - 1597*t**2 - 646*t - 58. Let h(l) = 2*k(l) + 11*o(l). Let h(g) = 0. Calculate g.
-2/11, 3
Find t, given that -3100/3*t - 170*t**2 - 1/3*t**4 - 7000/3 - 37/3*t**3 = 0.
-10, -7
Let r(m) = m**2 - 2670*m + 356457. Let l(a) = -5*a**2 + 16020*a - 2138745. Let q(w) = 4*l(w) + 25*r(w). Factor q(o).
5*(o - 267)**2
Let y(a) be the first derivative of a**5/10 - 5*a**4/4 + 29*a**3/6 - 5*a**2 - 366. Solve y(c) = 0 for c.
0, 1, 4, 5
Suppose -3*d + 25 = -b, 4*d + 6*b - 2*b - 28 = 0. Let q(p) = p**2 - 8*p + 3. Let o be q(d). What is f in -15/4*f**2 - o - 3/4*f**3 - 6*f = 0?
-2, -1
Suppose 20 + 25 = 3*l. Let f be 4 + ((-3)/l - 3). Let 2/5*i**3 - 6/5*i + f*i**2 + 0 = 0. What is i?
-3, 0, 1
Let j(v) = 3*v**2 - v - 10. Let n(k) = 7*k**2 - 3*k - 19. Let z(d) = 10*j(d) - 4*n(d). Find u, given that z(u) = 0.
-4, 3
Factor 2 + 2 + 3*w**2 - 36 + 3*w - 4.
3*(w - 3)*(w + 4)
Let n(m) be the second derivative of -m**6/60 - m**5/8 - m**4/3 - m**3/3 - 57*m. Determine v, given that n(v) = 0.
-2, -1, 0
Let d = 218 + -217. Let o be ((-164)/36 - -1) + (5 - d). Determine y so that 28/9*y**3 - 32/9*y**2 - 4/3*y**4 - o + 2/9*y**5 + 2*y = 0.
1, 2
Let t(a) be the first derivative of a**5/130 - a**3/13 + 2*a**2/13 - 9*a + 11. Let i(r) be the first derivative of t(r). Factor i(x).
2*(x - 1)**2*(x + 2)/13
Let x be (-2)/10 + (216/30 - 7). Let i(r) be the second derivative of -1/4*r**4 - 2*r + 0 + x*r**3 + 0*r**2. Determine l, given that i(l) = 0.
0
Let w(c) be the second derivative of -c**4/54 + 62*c**3/27 - 961*c**2/9 + 35*c. Factor w(t).
-2*(t - 31)**2/9
Let c be 15 - (-12)/(-72) - 11. Let 19/6*p**2 + 2/3 + 10/3*p - 13/6*p**3 - c*p**4 - 7/6*p**5 = 0. What is p?
-2, -1, -2/7, 1
Let k(f) be the third derivative of -f**7/84 + f**6/48 + f**5/2 + 5*f**4/12 - 20*f**3/3 - 9*f**2. Solve k(m) = 0 for m.
-2, 1, 4
Let j(c) be the second derivative of c**6/40 + 3*c**5/20 - 3*c**4/8 - c**3/2 + 15*c**2/8 + c - 35. Factor j(u).
3*(u - 1)**2*(u + 1)*(u + 5)/4
Let f(t) = -t**3 - 2*t**2 - 2*t - 2. Suppose 0 = k + 5*m - 2, -2*k + 5*k = -5*m - 4. Let n be f(k). Factor -n*o**2 - o**3 + 16*o**2 + 5*o**3 - o**3.
3*o**2*(o + 1)
Let u be (2 - -14) + (-3196)/204. Determine i, given that u*i**2 + 49/3 + 14/3*i = 0.
-7
Let k be (3 + 9)/(-1 - (-10)/6). Let q be (-6)/27 - (-8)/k. Factor q*l**2 + 4/9*l + 0.
2*l*(l + 2)/9
Let q(s) be the first derivative of -s**5/5 - s**4/2 + 4*s**3 + 4*s**2 - 32*s + 240. Determine w, given that q(w) = 0.
-4, -2, 2
Let r(b) = 8*b**3 - 61*b**2 - 11. Let o(f) = -4*f**3 + 30*f**2 + 6. Let u(i) = -11*o(i) - 6*r(i). Suppose u(k) = 0. Calculate k.
0, 9
Let a = -470 - -473. Let i(u) be the second derivative of -1/12*u**2 + 0 - a*u + 1/72*u**4 - 1/120*u**5 + 1/36*u**3. Factor i(l).
-(l - 1)**2*(l + 1)/6
Let r(o) be the third derivative of -18*o**2 + 0*o + 0*o**5 - o**3 - 3/8*o**4 + 1/40*o**6 + 0. Let r(m) = 0. What is m?
-1, 2
Let n(i) = -i + 1. Let b be -10*(-3 - 14/(-4)). Let m be n(b). Factor 3*a + 3 - a**3 + 3*a**3 + a**3 + 9*a**2 + m*a.
3*(a + 1)**3
Let g(i) be the third derivative of i**9/5040 + i**8/630 + i**7/180 + i**6/90 - i**5/6 + 6*i**2. Let n(p) be the third derivative of g(p). Solve n(a) = 0 for a.
-1, -2/3
Let r = 55 + -58. Let p be (-3*(-14)/(-63))/(r + 1). Find i such that -4/3*i**2 - 2/3 + p*i**3 + 5/3*i = 0.
1, 2
Suppose -10 = -3*j + 2*w, 0*j + 4*j - 5 = w. Suppose j = 2*p - 6 - 0. Factor -f**2 + 6*f - 8*f + 0*f**2 + p.
-(f - 1)*(f + 3)
Suppose -3*v - 15 = -9. Let a be 0*(v - -1)*-1. Factor 3/5*d + 6/5*d**2 + 3/5*d**3 + a.
3*d*(d + 1)**2/5
Let v(s) = -12*s**2 + 317*s + 80. Let j(y) = -260*y**2 + 6975*y + 1760. Let q(m) = -2*j(m) + 45*v(m). Factor q(r).
-5*(r - 16)*(4*r + 1)
Suppose 0 = 3*k - 14 + 5. Let m(b) = -b**2 + 3*b + 2. Let p be m(3). Solve 0*u**2 + k*u**3 + 0*u + 4*u**2 - u**5 - 2*u - u**4 - 3*u**p = 0 for u.
-2, -1, 0, 1
Let k(b) be the first derivative of b**5/15 + 6*b**4 + 1295*b**3/9 - 12*b**2 - 432*b + 385. Determine s so that k(s) = 0.
-36, -1, 1
Let i(v) be the third derivative of v**6/300 + v**5/75 - 13*v**4/60 + 2*v**3/3 - 373*v**2. Factor i(w).
2*(w - 2)*(w - 1)*(w + 5)/5
Let z = -18 - -20. Solve 0*x + 6*x + 4 - 7 - 3*x**z = 0.
1
Let l = 64 + -58. Factor -3*p**5 + l*p**4 + 25*p**2 + 32*p**2 + 3*p - 63*p**2.
-3*p*(p - 1)**3*(p + 1)
Let g = -364 + 364. Let n(b) be the third derivative of -6*b**2 + 0 + 0*b**3 + g*b + 1/12*b**4 - 1/90*b**5. Factor n(i).
-2*i*(i - 3)/3
Let r = 454 + -454. Let m(d) be the second derivative of r*d**3 + 0 + 0*d**4 - 1/14*d**7 + 5*d - 3/20*d**5 + 0*d**2 + 1/5*d**6. Solve m(q) = 0.
0, 1
Let b(c) be the first derivative of -4/9*c**3 - 2/3*c - 5/4*c**2 + 1/8*c**4 - 19. Factor b(r).
(r - 4)*(r + 1)*(3*r + 1)/6
Let r = 74345/13316 - -2/9987. Let j(k) be the second derivative of 12*k + 0 + 1/6*k**7 + 73/20*k**5 + 37/30*k**6 + r*k**4 + 14/3*k**3 + 2*k**2. Factor j(b).
(b + 1)**3*(b + 2)*(7*b + 2)
Suppose t - 4*t + c = 119, -3*c = -3*t - 129. Let r = t - -44. Factor -3/2*m - 6*m**4 - r*m**2 - 3/2*m**5 + 0 - 9*m**3.
-3*m*(m + 1)**4/2
Let q(t) = 11*t**2 - 5*t + 6. Let k(l) = -155*l**2 + 70*l - 85. Let u(n) = -n**3 + 15*n**2 + n - 21. Let f be u(15). Let a(m) = f*k(m) - 85*q(m). Factor a(p).
-5*p*(p - 1)
Let q(z) be the third derivative of z**5/90 + 7*z**4/12 + 3*z**2 + 9. Factor q(s).
2*s*(s + 21)/3
Let m(y) be the third derivative of y**6/420 - y**5/105 - y**4/21 + 8*y**3/21 + 3*y**2 - 42. Factor m(c).
2*(c - 2)**2*(c + 2)/7
Factor 8/3*c**3 - 38/3*c**2 + 2/3*c**4 - 92/3*c - 16.
2*(c - 4)*(c + 1)**2*(c + 6)/3
Suppose 88 = l + 58. Factor 30*u**2 - 25*u + 24*u**2 - 59*u**2 + l.
-5*(u - 1)*(u + 6)
Factor 18/13*h**3 + 12/13*h**2 + 0 + 2/13*h.
2*h*(3*h + 1)**2/13
Let k(j) be the first derivative of 2*j**3/21 - 6*j**2/7 + 71. Factor k(d).
2*d*(d - 6)/7
Let x be (22/(-10))/11*(-3 + 1). Determine j, given that -4/15*j - x*j**2 - 2/15*j**3 + 0 = 0.
-2, -1, 0
Let y(w) be the third derivative of w**8/420 - 8*w**7/525 + w**6/25 - 4*w**5/75 + w**4/30 + 102*w**2. Factor y(s).
4*s*(s - 1)**4/5
Let n(l) be the first derivative of 10*l**2 + 5/3*l**3 + 20*l - 8. Find f, given that n(f) = 0.
-2
Suppose 11*l - 17*l + 150 = 0. Factor -40*p**2 - 38*p**2 - l*p + 73*p**2.
-5*p*(p + 5)
Let u(x) be the third derivative of -x**7/560 + x**6/32 - 5*x**5/32 + 2*x**2 - 36. Factor u(j).
-3*j**2*(j - 5)**2/8
Let 71*q**2 - 140*q**2 - 23*q + 49*q**2 - 2*q - 10 - 5*q**3 = 0. What is q?
-2, -1
Let g(r) be the third derivative of -r**6/900 + r**5/300 + r**4/30 + 7*r**3/3 + 22*r**2. Let u(c) be the first derivative of g(c). Factor u(s).
-2*(s - 2)*(s + 1)/5
Find m, given that 16/13*m**2 + 14/13*m**4 + 0 + 0*m + 28/13*m**3 + 2/13*m**5 = 0.
-4, -2, -1, 0
Let l(c) = c**3 + 24*c**2 - 71*c - 492. Let b be l(-26). Find w such that -1/4*w**b + 0*w + 0 = 0.
0
Let d be -2*(1/((-5)/(-45)) - -2). Let p be (-30)/(-14) - d/(-154). Suppose 0 + 0*c - 1/6*c**3 - 1/3*c**p = 0. What is c?
-2, 0
Let t = -15287/8 - -1911. Let s(v) be the second derivative of -11*v + 1/16*v**5 + t*v**3 + 0*v**2 + 0 + 7/48*v**4 + 1/120*v**6. Factor s(y).
y*(y + 1)**2*(y + 3)/4
Factor 4/3*y**2 + 112/3 - 116/3*y.
4*(y - 28)*(y - 1)/3
Let n(g) be the first derivative of -5/8*g**4 + 0*g**3 + 5 + 0*g - 5/4*g**5 + 0*g**2. Factor n(r).
-5*r**3*(5*r + 2)/4
Let z(k) be the third derivative of -k**5/36 - k**4/18 + k**3/18 - k**2 + 26*k. Determine h, given that z(h) = 0.
-1, 1/5
Let d(r) be the first derivative of 1/300*r**5 - 3/2*r**2 + 2/15*r**3 + 1/30*r**4 + 1 + 0*r. Let x(v) be the second derivative of d(v). Let x(i) = 0. What is i?
-2
Let l = 876/23 + -4311/115. Factor l + 1/5*c**2 - 4/5*c.
(c - 3)*(c - 1)/5
Determine d so that 0 + 1/2*d**2 + 84*d = 0.
-168, 0
Let n(k) be the third derivative of -k**6/120 + 3*k**5/20 - 23*k**4/24 + 5*k**3/2 - 2*k**2 + 421*k. Solve n(z) = 0 for z.
1, 3, 5
Factor 50*t**4 + 38*t + 96*t**3 + 15*t**2 + 58*t**4 - 41*t.
3*t*(2*t + 1)**2*(9*t - 1)
Factor -8/7*w**4 + 0*w + 2/7*w**5 + 0 + 0*w**2 + 8/7*w**3.
2*w**3*(w - 2)**2/7
Let d(u) = u**3 + 9*u**2 + 3*u - 16. Let w be d(-8). Factor 16*k - 3*k**4 - 5*k**3 + w*k**2 + 5*k**4 + 17*k**3.
2*k*(k + 2)**3
Let w(a) be the third derivative of -a**7/105 + 13*a**6/120 + 2*a**5/15 - 7*a**4/24 + 202*a**2. Factor w(y).
-y*(y - 7)*(y + 1)*(2*y - 1)
Suppose 0 = -19*d - d - 500. Let p be (1*2/(-5))/(35/d). Find q, given that 4/7*q**3 + 0 - 2/7*q*