6. Let h(x) = l*w(x) + 4*n(x). Factor h(r).
-(r - 1)*(3*r + 2)
Let w(m) be the second derivative of -m**5/20 - 3*m**4/4 - 7*m**3/6 + 11*m**2/2 - 2*m. Let q be w(-8). Factor -20*d**q - 90*d + 5*d - 171*d - 152*d**2 + 128.
-4*(d + 4)**2*(5*d - 2)
Let m = -439 - -436. Let j be (4 + (-217)/49)/(1/m). Factor -3/7*s + j - 6/7*s**2.
-3*(s - 1)*(2*s + 3)/7
Let k(r) be the first derivative of 2*r**5/9 - 149*r**4/6 + 78*r**3 - 785*r**2/9 + 116*r/3 + 2875. Find u, given that k(u) = 0.
2/5, 1, 87
Let o(w) be the third derivative of -w**7/105 - 17*w**6/60 - 11*w**5/15 + 55*w**4 + 600*w**3 - 8*w**2 - 133. Factor o(v).
-2*(v - 6)*(v + 3)*(v + 10)**2
Let m be ((-3)/25)/(339/(-367815)). Factor 12*c + m*c**3 + 408/5*c**2 + 0 - 147/5*c**4.
-3*c*(c - 5)*(7*c + 2)**2/5
Suppose -n + y + 25 = 0, -5*n + 4*y = -2*n - 79. Let -3*m**2 - 16 - 24 + n - 11 - 21*m = 0. What is m?
-5, -2
Let x(s) be the second derivative of -s**7/3 + 16*s**6/5 - 56*s**5/5 + 17*s**4 - 25*s**3/3 - 6*s**2 - 468*s - 2. Suppose x(z) = 0. Calculate z.
-1/7, 1, 2, 3
Let o be (-12)/((-144)/52) - (6 + (7 - 10)). Determine w, given that 36 + 116/3*w**2 - 220/3*w - o*w**3 = 0.
1, 27
Let f(h) be the second derivative of -h**6/150 - 44*h**5/25 + 107*h**4/12 - 179*h**3/15 - 55*h + 21. Find y such that f(y) = 0.
-179, 0, 1, 2
Let c be (-20583)/(-23) + 12/138. Let o = -8039/9 + c. Factor -10/9*v + 2/3*v**2 - o.
2*(v + 1)*(3*v - 8)/9
Let g be ((-120)/900)/(-10*18/1800). Factor -4/3*k - g*k**2 + 0.
-4*k*(k + 1)/3
Let n = -13308/13 - -1025. Let q = 19/65 + n. Let -q*i**3 + 4/5*i**4 - 4/5*i**2 + 0 + 8/5*i = 0. Calculate i.
-1, 0, 1, 2
Let n be (10 + -13)*(-8)/6. Suppose -7*s - n = -32. Let s*q + 16*q + 0*q - 243*q**2 + 729*q**3 + 7*q - 1 = 0. What is q?
1/9
Let n = 3384 + -203039/60. Let f(o) be the third derivative of 0*o + 1/6*o**4 + 0 + 0*o**3 + 21*o**2 - n*o**5. Suppose f(u) = 0. Calculate u.
0, 4
Let g = -373 + 373. Suppose 6 = -2*t + 5*w, 2*t - w = -0*t + 2. Let -1/5*a**3 + 0*a**t - a**4 + g*a + 0 = 0. What is a?
-1/5, 0
Let r(q) = -7*q**5 - 9*q**4 + 8*q**3 + 18*q**2 - 13*q - 15. Let y(v) = v**5 - v**3 + 2*v + 1. Let u(w) = -5*r(w) - 30*y(w). Solve u(t) = 0 for t.
-9, -1, 1
Suppose 928/7*g**2 + 2/7*g**3 - 217156/7 + 106714/7*g = 0. Calculate g.
-233, 2
Let f = -521/404 - -513/202. Factor 0 + 25/2*n + 15/4*n**2 - 15/2*n**3 + f*n**4.
5*n*(n - 5)*(n - 2)*(n + 1)/4
Factor 198/5*f**2 + 20184/5 - 3/5*f**3 - 783*f.
-3*(f - 29)**2*(f - 8)/5
Suppose 83 + 85 = 28*y - 0. Suppose -3*o = 2*a - 27, 4*a - 2 - 2 = 4*o. Suppose -2/3*l**2 + y + 2/3*l**3 - a*l = 0. Calculate l.
-3, 1, 3
Let s(o) be the third derivative of -o**7/168 + o**6/18 + o**5/8 - 15*o**4/4 + 14*o**3 - 91*o**2. Let z(c) be the first derivative of s(c). Factor z(a).
-5*(a - 3)**2*(a + 2)
Let z(w) = 228*w**2 - 41680*w - 98. Let u(l) = -7*l**2 + 1263*l + 3. Let s(f) = -196*u(f) - 6*z(f). Find o such that s(o) = 0.
-633, 0
Let j(k) be the third derivative of k**6/360 - k**5/90 - 41*k**4/72 + 7*k**3/3 - 3*k**2 + 370*k. Factor j(w).
(w - 7)*(w - 1)*(w + 6)/3
Suppose 3*t - 5*a - 39 - 19 = 0, 0 = 5*t - 2*a - 65. Suppose 17*o - 18 = t*o. Factor 8*r + 0*r + 28*r**o - 11*r**2 + 3*r**2 - 26*r**3.
2*r*(r - 2)**2
Let k(m) be the second derivative of -m**4/54 - 209*m**3/27 + 70*m**2/3 + 240*m. Factor k(n).
-2*(n - 1)*(n + 210)/9
Let k(x) be the first derivative of -x**7/420 - x**6/9 - 5*x**5/3 - 2*x**3/3 + 33*x - 88. Let f(o) be the third derivative of k(o). Solve f(y) = 0.
-10, 0
Let k(d) be the first derivative of d**6/6 + 89*d**5/20 + 317*d**4/8 + 1241*d**3/12 - 190*d**2 - 112*d - 1107. Suppose k(c) = 0. What is c?
-8, -7, -1/4, 1
Solve -85/2*f**2 - 120 + 160*f + 5/2*f**3 = 0 for f.
1, 4, 12
Let l(m) be the first derivative of m**6/360 - m**5/60 + m**4/24 - m**3/3 - 61. Let a(o) be the third derivative of l(o). Determine c, given that a(c) = 0.
1
Let u(a) be the first derivative of 5*a**3/3 - 1195*a**2 + 285605*a + 1820. Solve u(x) = 0 for x.
239
Factor 2/13*k**3 + 1056/13*k + 1152/13 - 94/13*k**2.
2*(k - 24)**2*(k + 1)/13
Let d(v) be the third derivative of v**5/240 + 265*v**4/48 + 70225*v**3/24 - 6*v**2 + 25. Determine n, given that d(n) = 0.
-265
Let l(c) be the first derivative of 3*c**4/16 - 11*c**3/12 - 5*c**2/2 + 7*c - 6609. Find s, given that l(s) = 0.
-2, 1, 14/3
Let l(f) = -10*f**4 - 209*f**3 - 369*f**2 - 153*f + 25. Let w(p) = -2*p + 6. Let q(y) = -l(y) + w(y). What is d in q(d) = 0?
-19, -1, 1/10
Let h = -1147 + 1146. Let b be (3 - 3/18) + h/6. Solve -b + 2/3*o**2 + 0*o = 0.
-2, 2
Let v(i) = 7*i**4 + 45*i**3 - 379*i**2 + 563*i - 308. Let o(s) = s**4 + s**3 - s**2 - 9*s - 1. Let f(l) = 40*o(l) - 5*v(l). Suppose f(p) = 0. What is p?
1, 15, 20
Let f = -3042 - -9127/3. Let p(i) be the third derivative of 10*i**2 + 1/60*i**6 - f*i**4 + 0 - 4/3*i**3 + 1/30*i**5 + 0*i. Solve p(r) = 0 for r.
-2, -1, 2
Solve 79*d**2 - 80*d**2 + 485*d + 1 - 1 + 6*d**2 = 0 for d.
-97, 0
Let d be 115/(-69)*33/(-5). Let b be d/((-55)/3) - (-26)/10. What is n in -1 + 1/2*n**3 - 3/2*n + 0*n**b = 0?
-1, 2
Let n(w) be the first derivative of -4*w**3/3 + 72*w**2 + 2800*w + 6690. Factor n(v).
-4*(v - 50)*(v + 14)
Let t(y) be the second derivative of y**9/189 - y**8/60 + y**7/105 + y**6/90 + y**3/6 - 69*y. Let p(s) be the second derivative of t(s). Factor p(r).
4*r**2*(r - 1)**2*(4*r + 1)
Let n be 7 + -9 + (6/56 - -2). Let l(x) be the first derivative of -4/7*x**3 + 12/7*x + 2 - 3/14*x**2 + n*x**4. Solve l(k) = 0 for k.
-1, 1, 4
Solve -1/2*h**3 - 8844267/2*h - 5151/2*h**2 - 5061868813/2 = 0.
-1717
Let n be (-2304)/(-162) - 12 - (-2)/(-9). Determine p, given that -2*p**4 + 28*p**3 - 90*p**2 + 555*p + 617*p - 1627*p + 655*p - 40*p**n = 0.
0, 4, 5
Let y = -7887 - -7887. Let b(m) be the second derivative of 2/3*m**2 - 1/6*m**4 + y + 1/45*m**6 + 1/30*m**5 + 11*m - 1/9*m**3. Find d such that b(d) = 0.
-2, -1, 1
Factor 31*c**3 - 356*c - 1/3*c**4 + 0 - 344/3*c**2.
-c*(c - 89)*(c - 6)*(c + 2)/3
Let k(l) be the first derivative of -22 + 0*l**2 + 0*l + 1/27*l**6 + 8/45*l**5 + 2/9*l**4 + 0*l**3. Determine r so that k(r) = 0.
-2, 0
Let i be ((-114)/(-90) + -10 + 1 + 8)/(4/3). Determine t, given that -6/5 + i*t**2 - 1/5*t = 0.
-2, 3
Determine q so that 116/3*q**3 - 28/3*q**2 + 0 + 5*q**5 - 121/3*q**4 + 0*q = 0.
0, 2/5, 2/3, 7
Let i(j) = j - 13. Let f be i(17). Suppose 6*s - 14 = -w + 3*s, f*w - 35 = -5*s. Factor -9241*g**w - 5*g**4 + 9*g**3 - 3*g**2 + 9244*g**5 - 4*g**4.
3*g**2*(g - 1)**3
Let h(r) be the first derivative of 3/5*r**5 + 17 + 15/4*r**4 - 15/2*r**2 + 5*r**3 - 18*r. Suppose h(q) = 0. What is q?
-3, -2, -1, 1
Suppose 5*g + 3*u = 5, -5*u = -9*u - 20. Solve -11/3 + 1/3*n**4 + g*n**3 + 10/3*n**2 - 4*n = 0 for n.
-11, -1, 1
Let n(p) be the third derivative of p**7/630 + 7*p**6/45 - 149*p**5/90 + 53*p**4/9 - 61*p**3/6 + p**2 - p + 1189. Solve n(a) = 0.
-61, 1, 3
Suppose -46*u = -13 - 125. Factor -7*p**u + 126*p**2 + 18*p**3 - 7*p**3 + 75 - 243*p + 45 - 7*p**3.
-3*(p - 40)*(p - 1)**2
Let o(f) be the third derivative of 11*f + 6*f**2 - 16/3*f**4 - 1/30*f**6 + 0 - 56/3*f**3 - 11/15*f**5. Let o(q) = 0. Calculate q.
-7, -2
Let y(l) be the third derivative of -l**5/300 + 11*l**4/60 + 9*l**3/2 - 466*l**2 + l - 4. Let y(b) = 0. What is b?
-5, 27
Let f = 3487 - 10460/3. Let p(z) be the second derivative of 0 - 1/2*z**3 + 0*z**2 + 4*z + f*z**4. Solve p(u) = 0 for u.
0, 3/4
Let k(o) be the second derivative of -o**4/18 - 14*o**3/3 - 41*o**2/3 + 464*o. Factor k(j).
-2*(j + 1)*(j + 41)/3
Let r(g) be the third derivative of -5*g**8/252 - 6*g**7/35 - 17*g**6/90 + 3*g**5/5 + 11*g**4/9 - 429*g**2. Suppose r(n) = 0. What is n?
-22/5, -1, 0, 1
Let d(i) be the second derivative of -i**5/20 + 23*i**4/6 - 15*i**3/2 - 2*i + 1551. Suppose d(u) = 0. What is u?
0, 1, 45
Let c be (-8610)/(-63) + (-4)/(-3). Factor -147 - 528*w - 315 + c - w**3 - 37*w**2 + 168*w.
-(w + 1)*(w + 18)**2
Let d(s) = -4*s - 21. Let g be d(-6). Factor -17*u**g - 4*u**5 + 19*u**5 + 6*u**2 + 36*u**4 + 44*u**3.
3*u**2*(u + 1)**2*(5*u + 2)
Let g be 6/14 + (-64)/(-14). Solve 105*y**4 - 204*y**3 - 1268*y**2 - g*y**5 - 720 - 2040*y - 171*y**3 - 537*y**2 = 0.
-1, 12
Let k(a) be the first derivative of a**4/10 + 36*a**3/5 + 21*a**2 + 104*a/5 + 1109. Determine v, given that k(v) = 0.
-52, -1
Let g be -3 - 1 - ((-54)/3)/3. Let c be 12/g*(-4)/(-16)*12. De