*x(h). Factor m(z).
3*z*(z + 1)
Suppose w - 19 = -5*b - w, 0 = -4*b + 3*w + 29. Factor 8/3*y**3 - 4/3*y + 0*y**4 - 4/3*y**b + 0 + 0*y**2.
-4*y*(y - 1)**2*(y + 1)**2/3
Let l(w) be the second derivative of w**7/21 - 4*w**6/15 + 3*w**5/10 + 2*w**4/3 - 4*w**3/3 + 51*w. Suppose l(j) = 0. Calculate j.
-1, 0, 1, 2
Let q(u) be the third derivative of -u**7/70 + u**6/20 + 3*u**5/20 - u**4/2 - 2*u**3 - 2*u**2 + 10. Factor q(v).
-3*(v - 2)**2*(v + 1)**2
Let m(g) be the first derivative of g**4/2 + 2*g**3 + 2*g**2 - 77. What is h in m(h) = 0?
-2, -1, 0
Let y(h) = 32*h**2 - 36*h - 8. Let g(j) = 31*j**2 - 36*j - 4. Let f(k) = -4*g(k) + 3*y(k). Factor f(u).
-4*(u - 1)*(7*u - 2)
Let y(r) = 5*r**2 + 18*r - 56. Let v(l) = -9*l**2 - 38*l + 112. Let k(j) = 3*v(j) + 5*y(j). Factor k(u).
-2*(u - 2)*(u + 14)
Let p(t) be the second derivative of -5/96*t**4 + 1/12*t**3 + 0 - 4*t + 2*t**2 + 1/80*t**5. Let q(o) be the first derivative of p(o). Factor q(w).
(w - 1)*(3*w - 2)/4
Let w(r) = 305*r**3 + 600*r**2 + 335*r - 10. Let z(g) = -2*g. Let k(f) = w(f) + 25*z(f). Factor k(l).
5*(l + 1)**2*(61*l - 2)
Let p(w) = 771*w + 3086. Let q be p(-4). Factor 64/7*b - 50*b**q - 8/21 - 1250/21*b**3.
-2*(b + 1)*(25*b - 2)**2/21
Let i(c) be the second derivative of c**4/42 + 4*c**3/21 + 3*c**2/7 + 49*c - 4. Factor i(p).
2*(p + 1)*(p + 3)/7
Let a(h) = -17*h**3 - 12*h**2 - 19*h - 15. Let w(t) = -2*t**3 - 2*t**2 + 1. Let u(p) = 4*a(p) - 36*w(p). Determine l, given that u(l) = 0.
-8, -1, 3
Let i(b) be the third derivative of b**7/420 + 11*b**6/240 - 13*b**5/40 + 41*b**4/48 - 7*b**3/6 - b**2 - 28. Factor i(z).
(z - 1)**3*(z + 14)/2
Determine z so that 45*z**4 + 44*z**2 + 100*z**3 - 462 + 142 - 480*z - 144*z**2 + 5*z**5 = 0.
-4, -2, -1, 2
Factor 45 - 16*m + 2*m**4 - 18*m**5 + 8*m**3 - 16*m**2 + 34*m**5 - 17*m**5 - 13.
-(m - 2)**3*(m + 2)**2
Let k(j) = -4*j**2 - 17*j - 18. Let t(f) = -7*f**2 - 32*f - 38. Let w(s) = 5*k(s) - 3*t(s). What is d in w(d) = 0?
-8, -3
Let b(u) be the second derivative of -u**5/45 + 85*u**4/27 - 3526*u**3/27 - 3698*u**2/9 - 82*u. Factor b(g).
-4*(g - 43)**2*(g + 1)/9
Let x(p) = -p**2 + 8*p - 11. Let l be x(4). Factor l*a**4 + 36 - 31 - 7*a**2 - 3*a**2.
5*(a - 1)**2*(a + 1)**2
Factor 0 + 160/3*x**3 - 7*x**4 + 2/9*x**5 + 0*x + 256/9*x**2.
x**2*(x - 16)**2*(2*x + 1)/9
Find w, given that -2/23*w**5 + 4/23*w**2 - 18/23 + 30/23*w + 14/23*w**4 - 28/23*w**3 = 0.
-1, 1, 3
Let f(w) be the first derivative of 1/5*w**5 - 24 - w**3 + w**4 + 0*w - 9*w**2. Find u such that f(u) = 0.
-3, 0, 2
Let y(i) be the second derivative of -i**5/80 - 3*i**4/16 - 5*i**3/8 - 7*i**2/8 + i + 7. Factor y(c).
-(c + 1)**2*(c + 7)/4
Let h(m) be the third derivative of -m**8/1680 + 7*m**6/600 + m**5/50 - 93*m**2 - m. Find v such that h(v) = 0.
-2, -1, 0, 3
Let a(o) be the second derivative of -o**6/2 - 5*o**5/2 - 5*o**4/12 + 5*o**3 - o + 61. Factor a(j).
-5*j*(j + 1)*(j + 3)*(3*j - 2)
Let h = 44087/3 + -14695. Solve 1/6*m**3 + 1/6*m**2 - 2/3*m - h = 0 for m.
-2, -1, 2
Let o(h) = -51*h**2 - 378*h. Let k(y) = -11*y**2 - 95*y. Let s(m) = -9*k(m) + 2*o(m). Suppose s(v) = 0. What is v?
0, 33
Factor -3*g**4 + 3 - 202*g + 386*g - 208*g - 3*g**5 + 9 + 15*g**3 + 3*g**2.
-3*(g - 1)**3*(g + 2)**2
Let u be 2/(-10)*95/(-1102). Let h = u + 14/29. Determine s so that s + 0 + h*s**2 = 0.
-2, 0
Let b(o) = -o**3 - 21*o**2 - 19*o + 24. Let w be b(-20). Factor 2*t + 3*t**2 - 3*t**4 - 2*t**4 + t**w + 3*t**4.
-t*(t - 2)*(t + 1)**2
Suppose 8*o - 13*o + 20 = 0. Let r(s) be the third derivative of -1/84*s**o + 0 + 5*s**2 - 3/140*s**6 - 4/735*s**7 + 0*s + 0*s**3 - 1/35*s**5. Factor r(g).
-2*g*(g + 1)**2*(4*g + 1)/7
Factor -602*i**3 - 3 - 14 + 308*i**2 - 14*i**2 + 384*i**4 + 17 - 72*i**5.
-2*i**2*(i - 3)*(6*i - 7)**2
Let u(t) be the first derivative of t**7/56 - 3*t**5/8 + 5*t**4/4 - 15*t**3/8 + 3*t**2/2 - 26*t + 2. Let o(k) be the first derivative of u(k). Factor o(y).
3*(y - 1)**4*(y + 4)/4
Factor -20*o**4 - 54*o**5 + 58*o**5 + 0*o + 24*o + 16*o**2 + 4*o**2 - 28*o**3.
4*o*(o - 6)*(o - 1)*(o + 1)**2
Let w(m) be the second derivative of m**10/15120 + m**9/3780 - m**7/630 - m**6/360 + m**4 - 21*m. Let u(o) be the third derivative of w(o). Factor u(z).
2*z*(z - 1)*(z + 1)**3
Suppose -55*w = -100*w + 90. Determine d so that 2/5*d**4 - 4/15*d**w + 2/5*d - 2/15 - 4/15*d**3 - 2/15*d**5 = 0.
-1, 1
Let u(t) be the third derivative of -t**7/42 + t**6/12 + t**5/12 - 5*t**4/12 - 9*t**2 - 1. What is a in u(a) = 0?
-1, 0, 1, 2
Let m(z) be the third derivative of 5*z**8/672 + z**7/210 - z**6/8 + 7*z**5/30 + z**4/48 - z**3/2 - 198*z**2. Factor m(i).
(i - 1)**3*(i + 3)*(5*i + 2)/2
Let d be -1 + -2 + 4 + 141/(-126). Let t = d + 43/126. Factor -t*k + 0 + 2/9*k**2.
2*k*(k - 1)/9
Factor -69/2*s**2 - 8 + 28*s - 25/8*s**4 + 35/2*s**3.
-(s - 2)**2*(5*s - 4)**2/8
Find f, given that 1264 + 364 + 25*f**4 + 6685*f**2 - 785*f**3 - 8175*f + 622 = 0.
2/5, 1, 15
Let m(j) be the second derivative of j**7/126 + j**6/18 - j**5/20 - 17*j**4/36 - 5*j**3/9 + 37*j. Solve m(k) = 0 for k.
-5, -1, 0, 2
Let y(j) be the first derivative of j**6/21 + 124*j**5/35 + 90*j**4 + 756*j**3 - 1323*j**2 + 112. Solve y(w) = 0.
-21, 0, 1
Let w be (-60)/(-104) - 48/624. Factor 1/2*k + w*k**2 + 0.
k*(k + 1)/2
Let q(g) = -g**2 + 63*g + 200. Let o be q(-3). Factor 8/5*v - 1/5*v**3 + v**o - 48/5.
-(v - 4)**2*(v + 3)/5
Let x(w) = -4*w**2 + w. Let q(o) = -3*o**2 - 12. Let h(u) = -5*q(u) + 5*x(u). Solve h(d) = 0.
-3, 4
Let y(p) be the second derivative of p**4/54 + 5*p**3/9 - 6*p**2 + 581*p. Find b such that y(b) = 0.
-18, 3
Let b(j) = 6*j**4 - 5*j**3 - 50*j**2 - 25*j + 6. Let n(z) = -z**4 - 2*z**3 - z + 2. Let q(d) = 5*b(d) + 10*n(d). Determine c so that q(c) = 0.
-2, -1, 1/4, 5
Let o(y) be the first derivative of y**8/13440 - y**7/6720 - y**6/1440 + 2*y**3 - 9. Let i(t) be the third derivative of o(t). Factor i(x).
x**2*(x - 2)*(x + 1)/8
Let c(n) be the second derivative of -n**7/42 - n**6/10 + n**5/2 - n**4/6 - 3*n**3/2 + 5*n**2/2 - 244*n + 2. Solve c(f) = 0.
-5, -1, 1
Let g(d) = -3*d - 9. Let j be g(-4). Factor 616*n - j*n**2 + 3 - 616*n.
-3*(n - 1)*(n + 1)
Let h(a) be the third derivative of 4*a**2 + 0 + 0*a - 2/63*a**7 + 1/9*a**5 - 1/10*a**6 + 1/36*a**8 + 0*a**3 + 1/9*a**4. Solve h(l) = 0 for l.
-1, -2/7, 0, 1
Let z = 11 - 26. Let g be 6/z + 6/15. Determine q so that -4*q**3 + 0*q**3 + g*q + 8*q**2 + 0*q = 0.
0, 2
Suppose y + 3*n = 15 - 13, 3*n + 23 = 4*y. Let k(j) be the first derivative of 0*j + 2/7*j**4 + 3 + 2/35*j**y + 2/7*j**2 + 10/21*j**3. Factor k(v).
2*v*(v + 1)**2*(v + 2)/7
Suppose -13 = 6*y - 5*y. Let p = 16 + y. Let -3 + 22*z**p - 9*z - 13*z**3 + 9 + 15*z**4 - 21*z**2 = 0. Calculate z.
-1, 2/5, 1
Let s be 3 + -2 + 322/(-368). Factor 0 - s*q - 1/8*q**3 - 1/4*q**2.
-q*(q + 1)**2/8
Suppose 1395*s = 1414*s - 76. Let -2/7*v**s - 50/7 - 92/7*v**2 + 24/7*v**3 + 120/7*v = 0. Calculate v.
1, 5
Let a be 0/(-10) + 1 + 1. Determine j, given that -a*j**2 + 15*j - 13*j**2 - 5 + 12*j**3 - 7*j**3 = 0.
1
Suppose -y + 6*y + u - 284 = 0, 3*y = 2*u + 160. Let i be (y/12 - 3) + -1. Factor 4*r**2 + i*r**4 - 8/3*r**3 - 8/3*r + 2/3.
2*(r - 1)**4/3
Let s be 4 - (13 + -4) - (-620)/120. Suppose -1/6*m**4 - 1/3*m + 1/3*m**3 + 0 + s*m**2 = 0. Calculate m.
-1, 0, 1, 2
Let u(d) = -4*d - 32. Let x be u(-9). Let -4*j**3 + 243*j**x - 250*j**4 + 2*j**3 = 0. Calculate j.
-2/7, 0
Let r(u) be the third derivative of -5/12*u**4 + 0 + 0*u - 1/12*u**5 - 19/42*u**7 + 0*u**3 + 5/48*u**8 + 5/8*u**6 - 28*u**2. Suppose r(m) = 0. What is m?
-2/7, 0, 1
Suppose 181*h - 16 = 177*h. Factor -1/5*z**h + 0*z**3 + 0*z + 2/5*z**2 - 1/5.
-(z - 1)**2*(z + 1)**2/5
Let r be (-1387)/323 - (-3 + (4 - 6)). Factor -r + 28/17*p**2 + 2*p.
2*(2*p + 3)*(7*p - 2)/17
Let u(x) be the second derivative of x**6/180 + x**5/60 - x**4/6 + 3*x**3 - 19*x. Let a(f) be the second derivative of u(f). Factor a(b).
2*(b - 1)*(b + 2)
Suppose 4*r - 9 + 1 = 0. Factor -2*u**4 - 13 - 2*u**3 + 7 + r*u + 6*u**2 + 2.
-2*(u - 1)**2*(u + 1)*(u + 2)
Let w be ((-4)/7)/(22/(-77)). Suppose -1 + 13 - 8*x + 0*x - 8 - 12*x**w = 0. Calculate x.
-1, 1/3
Let q(j) = 10*j**3 - 5*j**2 - 7*j - 1. Let o(n) = 19*n**3 - 9*n**2 - 14*n - 1. Suppose 4 - 5 = -d, -17 = 3*c - 2*d. Let h(a) = c*q(a) + 3*o(a). Factor h(x).
(x - 1)*(x + 1)*(7*x - 2)
Let m(d) = -d + 10. Suppose 2*h = -