 Factor o(r).
4*r*(r - 160)*(r - 1)*(r + 1)
Find k, given that -34*k**2 + 13*k**2 + 4*k**2 + 4*k**2 - 906*k + 907 + 12*k**2 = 0.
-907, 1
Let p(y) be the third derivative of -64/3*y**3 - 16/3*y**4 + 114/5*y**5 - 296/105*y**7 + 173/30*y**6 + 1/4*y**8 - 332*y**2 + 0*y + 0. Let p(k) = 0. What is k?
-1, -2/7, 1/3, 4
Find p such that 42*p - 109*p**2 + 50*p + 108*p**2 - 3053 + 2701 = 0.
4, 88
Let c(t) = 9*t**5 + 19*t**4 + 18*t**3 + 8*t. Let a(u) = -u**5 + u**4 + u**3 - u. Let s(v) = 40*a(v) + 5*c(v). Determine m so that s(m) = 0.
-26, -1, 0
Let l be (1*(2 - 1))/(2/8). Determine y so that 12*y**4 + 7*y**3 - l*y**4 + 4*y**5 - 3*y**3 = 0.
-1, 0
Let v(y) be the third derivative of y**5/4 - 9*y**4/2 + 18*y**3 - 2*y**2 - 6*y. Factor v(q).
3*(q - 6)*(5*q - 6)
Let n(m) be the third derivative of 0*m**3 - 1/100*m**5 - 1/100*m**6 - m**2 + 0*m + 3/350*m**7 + 0*m**4 + 59. Solve n(d) = 0 for d.
-1/3, 0, 1
Let n(i) = -7*i**3 - 1035*i**2 - 1080*i - 8. Let l(r) = -29*r**3 - 4128*r**2 - 4320*r - 34. Let m(o) = 4*l(o) - 17*n(o). Suppose m(y) = 0. What is y?
-360, -1, 0
Let w(a) be the first derivative of -4/3*a**3 - 8*a - 23 - 6*a**2. Let w(l) = 0. Calculate l.
-2, -1
Let f(o) = -195*o + 1757. Let g be f(9). Let c(q) be the first derivative of 20*q + 0*q**3 - 16 - 5/4*q**4 - 1/4*q**5 + 10*q**g. Solve c(i) = 0 for i.
-2, 2
Let j be (1/(-1498))/((-34)/36244). Let f = -15/107 + j. Factor -8/7*u**2 + 0 - f*u - 4/7*u**3.
-4*u*(u + 1)**2/7
Let a be 8 - (13/26 - (-1)/(-2)). Suppose a + 22 = 3*r. Find h, given that -40 - 6*h + r*h + 5*h**2 - 14*h = 0.
-2, 4
Let s = 434 - 432. Determine o, given that 2*o**2 + 11*o**2 + 5*o**s - o**5 + 11*o**3 + 568*o - 560*o = 0.
-2, -1, 0, 4
Let j(k) be the second derivative of -1/14*k**7 + 3*k**2 - 2 - 19*k - 1/5*k**6 + 2*k**4 + 3/10*k**5 + 7/2*k**3. Solve j(i) = 0.
-1, 2
Let i(a) = a - 5 + 23 - 7. Let y be i(-6). Let 81*w**2 - y*w**4 + 23*w**3 - 81*w**2 - 42*w - 2*w - 16 = 0. What is w?
-1, -2/5, 2, 4
Let f(n) = -9*n**4 + 195*n**3 + 435*n**2 + 159*n + 27. Let o(a) = 5*a**4 - 99*a**3 - 216*a**2 - 80*a - 12. Let k(i) = -4*f(i) - 9*o(i). Solve k(t) = 0.
-1, -2/3, 0, 14
Let l(n) be the first derivative of 4*n**5/45 + 10*n**4/3 + 4*n**3 - 116*n**2/9 + 957. Suppose l(b) = 0. Calculate b.
-29, -2, 0, 1
Suppose 0 = -0*c - 5*c + r - 10, 3*r = 30. Determine s so that 18/7*s**4 + 0 - 4/7*s**3 + c*s**2 + 0*s = 0.
0, 2/9
Let t(a) be the first derivative of 1/6*a**4 - 41 + 32/3*a - 10/3*a**2 - 14/9*a**3. Factor t(d).
2*(d - 8)*(d - 1)*(d + 2)/3
Let a(o) be the second derivative of 2*o**6/135 + 2*o**5/5 + 53*o**4/27 - 40*o**3/9 - 56*o**2 - 1145*o. Find x, given that a(x) = 0.
-14, -3, 2
Let k be (-218120)/(-7380)*2/(-21)*(-9)/5. Determine g so that 2/15*g**4 + 794/15*g**2 + 216/5 + k*g**3 + 456/5*g = 0.
-18, -1
Let y(b) be the first derivative of b**6/20 + 3*b**5/8 + 7*b**4/8 + 3*b**3/4 - 82*b + 5. Let l(x) be the first derivative of y(x). Suppose l(k) = 0. What is k?
-3, -1, 0
Suppose 100 + 238*d + 224*d**2 - 6*d**2 + 10*d**3 - 2*d**2 + 272*d**2 - 836*d = 0. What is d?
-50, 1/5, 1
Suppose -2*z + 2015 = 5*s, 3*z = 6*z - 4*s - 2988. Let q = z + -1000. Factor q*y - 1/7*y**4 + 3/7*y**2 + 0 + 2/7*y**3.
-y**2*(y - 3)*(y + 1)/7
Let a be (38 + 30 + -14)*(4536/(-49))/(-2). What is z in -3/7*z**3 - 2916/7*z - 162/7*z**2 - a = 0?
-18
Let p(r) be the third derivative of -1/4*r**6 - 27/4*r**4 - 3*r**2 - 1/70*r**7 - 27/2*r**3 - 9/5*r**5 + 0 + 5*r. Solve p(a) = 0.
-3, -1
Factor -46/3 + 2/3*i**2 + 44/3*i.
2*(i - 1)*(i + 23)/3
Let y(w) be the first derivative of -w**5 - 65*w**4/4 + 110*w**3/3 + 250*w**2 - 840*w - 1469. Factor y(t).
-5*(t - 2)**2*(t + 3)*(t + 14)
Suppose 23 = 14*b - 30 - 157. Let s(p) be the second derivative of 0*p**3 - b*p + 1/3*p**4 + 0 + 1/5*p**5 + 0*p**2. Determine k so that s(k) = 0.
-1, 0
Let g(o) = 3*o + 1 + 3*o**2 + 0 - o**3 - 2*o**3. Let w(l) = -7*l**3 + 7*l**2 + 7*l + 2. Let q = -2096 - -2100. Let y(t) = q*w(t) - 9*g(t). Factor y(x).
-(x - 1)**2*(x + 1)
Let l(f) be the first derivative of -5/6*f**4 - 1/15*f**5 + 13/9*f**3 + 11/3*f**2 + 0*f - 32. Find t such that l(t) = 0.
-11, -1, 0, 2
What is r in -192/5*r - 196/5 + 4/5*r**2 = 0?
-1, 49
Factor 0 + 1/5*v**3 - 3*v**2 + 0*v.
v**2*(v - 15)/5
Factor -21*s - 74/7 + 1/7*s**3 - 72/7*s**2.
(s - 74)*(s + 1)**2/7
Let x(z) be the first derivative of z**4 + 44*z**3 - 146*z**2 - 420*z - 1175. Find b, given that x(b) = 0.
-35, -1, 3
Suppose 2*n + 10 = 5*o, 5*o + 2*n = -n + 10. Suppose -o = -2*u + 2*d + 4, -3*d = -3. Find x, given that -x**3 + 2*x**4 + 5*x**3 - 2*x**u - 4*x**5 = 0.
-1, 0, 1
Let f(c) be the first derivative of -66 - 3*c + 1/2*c**6 + 15/2*c**2 - 3*c**5 + 15/2*c**4 - 10*c**3. Find h, given that f(h) = 0.
1
Let k(c) be the third derivative of -c**5/20 + 177*c**4/4 + 355*c**3/2 - 9948*c**2. Factor k(x).
-3*(x - 355)*(x + 1)
Let b = -1/824 - -2477/4120. Let x(w) be the first derivative of b*w**5 + 18 + 3/4*w**4 + 6*w - 3*w**3 - 3/2*w**2. Factor x(y).
3*(y - 1)**2*(y + 1)*(y + 2)
Suppose -468 = -2*g - 11*g. Suppose -3*c = -4*r + 33, 22*c + g = 5*r + 20*c. Factor 0 + r*t**2 - 12*t - 3/2*t**4 + 3*t**3.
-3*t*(t - 2)**2*(t + 2)/2
Let f(i) = 3*i**3 + 196*i**2 + 1165*i + 2112. Let o(l) = 4*l**3 + 296*l**2 + 1748*l + 3168. Let w(z) = -8*f(z) + 5*o(z). Solve w(t) = 0 for t.
-11, -8, -3
Let q(g) be the third derivative of g**6/300 - g**5/3 + 56*g**4/5 - 384*g**3/5 - 220*g**2. Determine c, given that q(c) = 0.
2, 24
Let c(b) = -5*b**3 + 74*b**2 + 83*b - 83. Let o(z) = 26*z**3 - 396*z**2 - 414*z + 416. Let y(n) = 16*c(n) + 3*o(n). Factor y(r).
-2*(r - 5)*(r - 1)*(r + 8)
Find d such that -301*d**2 + 145*d**2 + 24 + 9*d**3 - 20*d + 198*d**2 - 48*d = 0.
-6, 2/3
Suppose 254*h - 330 - 431*h**3 + 137*h**3 + 74*h**2 + 147*h**3 + 149*h**3 = 0. Calculate h.
-33, -5, 1
Factor -278/3*m + 2/3*m**2 - 280/3.
2*(m - 140)*(m + 1)/3
Let r(d) be the third derivative of -43/320*d**6 + 1/2*d**3 + 0 - 9/560*d**7 - 5/16*d**4 + 5*d - 30*d**2 - 31/80*d**5. Determine k, given that r(k) = 0.
-2, -1, 2/9
Let d(w) = -3*w**5 + 4*w**4 + 11*w**3 - 8*w**2 + 4*w + 2. Let t(f) = 2*f**4 + f**3 - f**2 + 2*f + 1. Let o(i) = -d(i) + 2*t(i). Factor o(l).
3*l**2*(l - 1)**2*(l + 2)
Let u = -1 - -2. Let j(c) = c**2 + 15*c. Let q(h) be the third derivative of -h**5/60 + h**4/24 + 237*h**2 + 2*h. Let i(r) = u*j(r) + 5*q(r). Factor i(g).
-4*g*(g - 5)
Let s be -2 - (-14)/(-4)*4/7. Let n = s + 6. Factor -n*i**2 - 23*i**4 + i**2 - 3*i**3 - i**5 + 20*i**4.
-i**2*(i + 1)**3
Let l(s) be the second derivative of -s**9/60480 - s**8/8960 - s**7/5040 - s**4/6 - s**3/6 + s + 2. Let u(p) be the third derivative of l(p). Factor u(g).
-g**2*(g + 1)*(g + 2)/4
Solve -244*x**2 - 506*x - 162*x**3 - 28 + 649*x**2 - 1736*x**2 - 973*x**2 = 0.
-14, -1/9
Let z(x) = -8*x - 10 - 3*x**2 - 2*x**2 - x**3 - 15*x + 16*x. Let b be z(-4). Let 0*n**b - 5*n**2 - 10*n - 402 + 402 = 0. Calculate n.
-2, 0
Suppose 22 = 5*v + s, -5*s - 11 = -2*v + 14. Suppose -4*l = -2*r, 0 = -v*l - 3*r + 56 - 34. Factor 12/5*d**l - 6/5*d**3 - 48/5 + 24/5*d.
-6*(d - 2)**2*(d + 2)/5
Let u(d) be the third derivative of -3/4*d**4 - 42*d**2 + 5/4*d**3 + 0*d + 0 + 7/40*d**5. Find j such that u(j) = 0.
5/7, 1
Let k(s) = -s - 13. Let p(c) = c + 14. Let i(m) = 6*k(m) + 5*p(m). Let h be i(-10). Factor 11*g**h + 39*g + 34*g**2 + 25*g**3 - 4*g + 10 + 5*g**4.
5*(g + 1)**3*(g + 2)
Let i(f) be the first derivative of -11*f**4/4 + 13*f**3/3 - 27*f**2/2 + f - 91. Let j(r) = 5*r**3 - 6*r**2 + 13*r. Let l(u) = 6*i(u) + 13*j(u). Factor l(a).
-(a - 3)*(a + 1)*(a + 2)
Let z = -30779 - -161823/5. Let v = -1578 + z. Factor v*l**3 + 8/5 + 14/5*l**4 + 10*l**2 + 32/5*l + 2/5*l**5.
2*(l + 1)**3*(l + 2)**2/5
Let s(j) = j**2 - 16*j + 17. Let m be s(15). Factor 7*x**m - x**3 - 242*x**5 + 2*x**3 - 3*x**4 - 4 + 241*x**5.
-(x - 1)**2*(x + 1)*(x + 2)**2
Let d(u) = -u**3 + 307*u**2 - 422*u + 94. Let m(l) = 27*l**3 - 4911*l**2 + 6750*l - 1503. Let o(s) = -33*d(s) - 2*m(s). Factor o(g).
-3*(g - 1)*(g + 16)*(7*g - 2)
Let f(j) be the second derivative of -j**6/30 + 7*j**4/4 + 10*j**3/3 + 3140*j. What is a in f(a) = 0?
-4, -1, 0, 5
Let x(w) be the first derivative of w**5/10 + 9*w**4/4 + 97*w**3/6 + 45*w**2 + 50*w + 568. Solve x(i) = 0.
-10, -5, -2, -1
Let m(l) be the first derivative of -l**4/18 + 68*l**3/27 - 552. Factor m(h).
-2*h**2*(h - 3