 Suppose z(l) = 0. Calculate l.
1, 5
Let m(s) be the third derivative of s**7/420 + s**6/120 - s**5/40 - 3165*s**2. Determine k, given that m(k) = 0.
-3, 0, 1
Let p(g) = 3*g**4 - 174*g**3 - 531*g**2 - 2*g + 6. Let z(m) = -30*m**4 + 1743*m**3 + 5310*m**2 + 21*m - 63. Let w(k) = -21*p(k) - 2*z(k). Solve w(o) = 0.
-3, 0, 59
Determine y, given that 972/11*y**2 + 0 - 6/11*y**3 - 966/11*y = 0.
0, 1, 161
Let p(x) = 48*x**3 - 109*x**2 - 6*x + 109. Let a(j) = 34*j**3 - 73*j**2 - 4*j + 73. Let q(o) = 7*a(o) - 5*p(o). Factor q(d).
-2*(d - 17)*(d - 1)*(d + 1)
Let o(p) = -2*p**2 - 129*p + 3972. Suppose 0 = -14*v + 23*v + 126. Let n(f) = 5*f**2 + 259*f - 7945. Let r(s) = v*o(s) - 6*n(s). Let r(h) = 0. What is h?
63
Let w = -4 + 0. Let z(o) = -3*o**2 - 11*o + 5. Let q be z(w). Factor -144*u**4 - q + 154*u**4 + 18*u**2 - 3 + 26*u**3 - 2*u.
2*(u + 1)**3*(5*u - 2)
Suppose 3*r + 2*m - 17 = 0, -2*m = 2*r - 0*m - 14. Suppose 0 = r*g + 4*v - 6, g + 0*v = 2*v + 2. Determine s so that 3*s**4 + 25*s - 9*s**g - 51*s + 20*s = 0.
-1, 0, 2
Suppose 632 + 1088 = 5*t. Let h = t - 342. Suppose -1/2*z**h + 1/3*z + 1/6*z**3 + 0 = 0. Calculate z.
0, 1, 2
Suppose 4*y = 4*p + 34 + 18, 5*y - 74 = 8*p. Let g be (-50)/(-220)*8/y. Factor g*n**3 + 0 + 6/11*n + 8/11*n**2.
2*n*(n + 1)*(n + 3)/11
Let q(i) = -3871*i + 3875. Let b be q(1). Determine n, given that 1/4*n**b + 0*n + 0 - 1/2*n**3 - 2*n**2 = 0.
-2, 0, 4
Let n(f) be the third derivative of f**5/25 - 7*f**4/30 - 8*f**3/3 + 2*f**2 + 266*f. What is h in n(h) = 0?
-5/3, 4
Suppose x - 5*d + 33 = 0, 12*x + 25 = 7*x + 5*d. Factor -4/7*p**x - 64/7 - 32/7*p.
-4*(p + 4)**2/7
Let k(g) = 3*g - 3. Let x(o) = -o**2 - 743*o - 132481. Let c(f) = 10*k(f) + 2*x(f). Determine b so that c(b) = 0.
-364
Suppose 61*z = -23*z - 19*z + 9*z + 282. Factor -15/2*c**2 + 0 - 5*c - 5/2*c**z.
-5*c*(c + 1)*(c + 2)/2
Let l = 6027/4910 - 27/982. Find n, given that 12/5 - 24/5*n + l*n**3 + 9/5*n**2 - 3/5*n**4 = 0.
-2, 1, 2
Factor -47/5*d**3 + 9*d**2 + 2/5*d + 0.
-d*(d - 1)*(47*d + 2)/5
Let u be ((-336)/88)/((-17)/((-187)/(-9))). Factor 2 + 44/3*d**2 + 26/3*d + u*d**4 + 12*d**3 + 2/3*d**5.
2*(d + 1)**4*(d + 3)/3
Let z(s) be the third derivative of -s**5/180 + 94*s**4/9 - 70688*s**3/9 + 34*s**2 + 2. Factor z(p).
-(p - 376)**2/3
Suppose -4*t + 20 = -3*w, 4*w = -5*t + 3*w + 6. Suppose 0 = 11*c + c - t*c. Factor 2/7*a**5 + 0*a**2 + 0*a + 2/7*a**4 + c - 4/7*a**3.
2*a**3*(a - 1)*(a + 2)/7
Suppose -26/3*c**3 + 80/3 + 76/9*c + 2/9*c**5 + 26/9*c**4 - 266/9*c**2 = 0. Calculate c.
-15, -2, -1, 1, 4
Find w, given that -149*w + w**3 + 171*w**2 - 545*w**2 - 246*w - 357*w = 0.
-2, 0, 376
Suppose -4*c = -2*c - 5*i - 3, 5*c - 18 = 2*i. Suppose d + d = c. Factor -25*j**2 + 9*j**3 - 9*j**d + 10 - 6*j**2 + 5*j + 16*j**3.
5*(j - 1)**2*(5*j + 2)
Suppose -2*v = 44 + 70. Let m = 62 + v. Factor 5*k + 16*k**4 - 24*k**3 - 9*k + 3*k**m - 7*k**5 + 16*k**2.
-4*k*(k - 1)**4
Let a be ((-4)/6)/((-8)/6). Let f = 88879 - 88879. Determine y so that f - 1/4*y - 1/4*y**3 + a*y**2 = 0.
0, 1
Factor -48 + 1/4*o**2 + 191/4*o.
(o - 1)*(o + 192)/4
Let f(l) = 8*l**4 + 27*l**3 + 26*l**2 - 45*l - 79. Let b(d) = -d**4 - 2*d**3 + d - 1. Let v(y) = 18*b(y) + 2*f(y). Suppose v(r) = 0. What is r?
-2, 2, 11
Let l(r) be the third derivative of -r**6/1080 + 4*r**5/27 + 88*r**4/27 + 512*r**2. Factor l(h).
-h*(h - 88)*(h + 8)/9
Let i(h) = -2*h**2 + 3*h + 122. Let g be i(-7). Factor u**4 - 14*u + u**2 + 148*u**3 - 140*u**g + 4*u**2.
u*(u - 1)*(u + 2)*(u + 7)
Factor 136/9*s - 88/3 - 2/9*s**3 + 130/9*s**2.
-2*(s - 66)*(s - 1)*(s + 2)/9
Let h(g) be the third derivative of 3*g**7/70 + 133*g**6/40 - 333*g**5/10 + 243*g**4/2 - 196*g**3 - 455*g**2 + g. Solve h(w) = 0.
-49, 2/3, 2
Let x(z) = z**3 + z**2 + 2*z. Let m(f) be the third derivative of f**6/30 - f**5/60 - 3*f**4/8 + 3*f**3 + 2*f**2 - 95. Let i(h) = -m(h) + 3*x(h). Factor i(w).
-(w - 6)*(w - 1)*(w + 3)
Suppose -7*g = 2*s - 4*g - 6, -g + 9 = 3*s. Let 3*z**4 + 12*z**3 + 18*z**2 - 6*z**s + 27*z**3 - 12*z**3 = 0. What is z?
-6, -1, 0
Let v = -3970 + 7369/2. Let w = v + 286. Let 1/2*o + w*o**4 - 1/2*o**2 + 0 - 1/2*o**3 = 0. Calculate o.
-1, 0, 1
Let f be (9876/102)/(660/95 + -7). Let h = f - -1840. Factor -2/17*z**3 + 0 - h*z - 8/17*z**2.
-2*z*(z + 1)*(z + 3)/17
Let k = 113624 - 795366/7. Find i, given that -12/7 - 2/7*i**3 - k*i + 8/7*i**2 = 0.
-1, 2, 3
Let z be ((-6)/4 + 3)/(8/(-16)). Let u(c) = c**2 - 24*c - 29. Let w(d) = -2*d**2 + 23*d + 28. Let h(m) = z*u(m) - 4*w(m). Let h(a) = 0. Calculate a.
-1, 5
Let o(m) = 7*m**2 - 1616*m. Let h(k) = -120*k**2 + 27500*k. Let p(n) = 2*h(n) + 35*o(n). Suppose p(c) = 0. What is c?
0, 312
Let y(r) be the first derivative of 18*r**5/35 - 1401*r**4/28 - 78*r**3/7 - 1529. Solve y(u) = 0 for u.
-1/6, 0, 78
Let f(j) be the second derivative of j**8/8960 + j**7/480 + j**4/6 + 11*j**3/3 + 42*j. Let t(d) be the third derivative of f(d). Let t(i) = 0. Calculate i.
-7, 0
Determine h, given that -28*h**2 - 10/7*h**3 - 40*h + 144/7 = 0.
-18, -2, 2/5
Let d(p) be the second derivative of 2*p**6/105 - 15*p**5/7 + 284*p**4/21 + 51*p + 13. What is w in d(w) = 0?
0, 4, 71
Let b(v) be the first derivative of 0*v**3 - 4/35*v**5 + 11/7*v**4 + 0*v**2 + 0*v + 9. Factor b(k).
-4*k**3*(k - 11)/7
Suppose -5*t - 270 = -5*j, 2*j + 0*j - 4*t = 102. Let r = 65 - j. Solve -18*s**2 + r*s + 24*s - 4 - 10*s = 0.
2/9, 1
Determine z, given that 1387667110506 + 20916618*z**2 + 3*z**4 - 909739*z**2 + 1615009*z**2 + 15798392832*z + 5174*z**3 + 2941092525462 + 7978*z**3 = 0.
-1096
Let q(n) be the second derivative of -3*n**5/100 + 14*n**4/5 - 442*n**3/5 + 4056*n**2/5 - 3*n + 167. Find i, given that q(i) = 0.
4, 26
Let t = -505 + 509. Suppose -3*w - 9 + 5 = -2*i, t*w - 3*i = -6. Factor 0*a + 2/9*a**4 - 2/9*a**2 + w*a**3 + 0.
2*a**2*(a - 1)*(a + 1)/9
Let y = 361 - 357. Let n(h) = h**2 + 72*h + 137. Let f(b) = -36*b - 68. Let r(t) = y*n(t) + 7*f(t). Find i such that r(i) = 0.
-6, -3
Let n(v) be the second derivative of -v - 5/3*v**4 + 80 - 140*v**2 + 118*v**3. Determine h, given that n(h) = 0.
2/5, 35
Let o(y) be the third derivative of y**5/240 - 19*y**4/48 + 37*y**3/24 - 4*y**2 - 2. Determine u so that o(u) = 0.
1, 37
Let i = -314912 - -314916. Solve 87/7*h**2 - 3/7*h**i - 12 - 36/7*h**3 + 36/7*h = 0 for h.
-14, -1, 1, 2
Determine q so that 137/6*q + 29*q**2 + 43/6*q**3 + 1 = 0.
-3, -1, -2/43
Let k be -20*((-304)/140 + (-5 - -7)). Determine w, given that -44/7*w + 228/7*w**2 - k + 12*w**4 + 332/7*w**3 = 0.
-3, -1, -2/7, 1/3
Let z(r) be the third derivative of r**5/180 - 847*r**4/72 + 47*r**3 + 1022*r**2 - 4*r. Suppose z(s) = 0. What is s?
1, 846
Let c(i) be the third derivative of -i**6/1200 - i**5/150 + 7*i**4/80 - 1974*i**2. Suppose c(s) = 0. What is s?
-7, 0, 3
Let r(j) be the first derivative of -3/7*j**3 + 3 - 30/7*j - 33/14*j**2. Determine f so that r(f) = 0.
-2, -5/3
Let y(v) be the first derivative of 0*v + 133 - 3/2*v**2 - v**3. Let y(p) = 0. Calculate p.
-1, 0
Let a be (-14)/(-49) + 330/70. Factor 15*k**2 + 162*k**3 + 7*k + a*k**4 - 137*k**3 - 52*k.
5*k*(k - 1)*(k + 3)**2
Let i(u) = -2*u - 39. Suppose 65 = -p + 40. Let k be i(p). Suppose -193*l - 3042*l**2 - k - 6591*l**3 - 13 - 275*l = 0. Calculate l.
-2/13
Let y(m) be the third derivative of -m**5/270 + m**4/9 + 28*m**3/27 + 945*m**2. Suppose y(o) = 0. Calculate o.
-2, 14
Let h(f) be the first derivative of 125*f**6/6 - 47*f**5/6 - 131*f**4/4 + 239*f**3/18 + 3*f**2 - 2*f/3 - 348. Solve h(q) = 0.
-1, -1/6, 2/25, 2/5, 1
Let o(r) be the first derivative of 22*r + 2/3*r**3 - 12*r**2 - 84. Factor o(b).
2*(b - 11)*(b - 1)
Let s(f) = 216*f**2 - 11*f**3 + 5*f**3 - 4110 - 17118*f + 13224*f. Let t(x) = -17*x**3 + 649*x**2 - 11679*x - 12329. Let i(a) = -8*s(a) + 3*t(a). Factor i(g).
-3*(g - 37)**2*(g + 1)
Suppose 3*n = 3*t - 57, -2*t = 3*n - n - 26. Suppose -a = 3*a - t. Factor 112*p**3 + 114*p**2 + 12*p**a + 4 - 4*p**4 + 38*p + 24*p**4.
2*(p + 1)*(p + 2)*(4*p + 1)**2
Let h(c) be the third derivative of -2*c**7/315 + 37*c**6/90 + 154*c**5/15 - 15730*c**4/9 + 617584*c**3/9 + 3*c**2 - 252*c. Factor h(m).
-4*(m - 22)**3*(m + 29)/3
Suppose 48*x = 1210*x - 2492 + 168. Factor -7/6*a**x - 22/3*a - 2.
-(a + 6)*(7*a + 2)/6
Let i be -166*(5 + 5 + (-44)/4). Factor -3*h**3 + 30*h + 24 + 336*h**2 - i*h**2 - 167*h**2.
-3*(h - 4)*(h + 