ative of -l**6/30 + l**5/25 + l**4/2 - 2*l**3/3 - 9*l**2/10 + 9*l/5 - 3226. Let u(k) = 0. Calculate k.
-3, -1, 1, 3
Factor 0 + 9/4*t**3 - 11/4*t**2 - 21/4*t - 1/4*t**4.
-t*(t - 7)*(t - 3)*(t + 1)/4
Factor -196/3*v - 172/3 - 8*v**2.
-4*(v + 1)*(6*v + 43)/3
Let o be (-48)/(-22) - (-21)/(2541/(-22)). Let x = -1208/7 - -173. Let x*k**o + 0 - 2/7*k - 1/7*k**3 = 0. What is k?
0, 1, 2
Let i(g) = -5*g**2 - 3*g + 22. Let b(p) = 6*p**2 + 3*p - 21. Let f(a) = -4*b(a) - 5*i(a). Let x be f(-7). Let 8/15*s + 0 - 2/15*s**x = 0. What is s?
0, 4
Let x(m) be the first derivative of 2*m**5/45 - 26*m**4/9 - 190*m**3/9 - 1618. Factor x(k).
2*k**2*(k - 57)*(k + 5)/9
Let x(a) be the third derivative of 5*a**4/24 + a**3/6 - 20*a**2. Let j be x(1). Find b, given that 3*b**4 + 2*b**2 - j*b**4 - 4*b**2 + 4*b**3 + b**4 = 0.
0, 1
Let f be (-29367)/(-819) + (-8)/(-7). Let v be (-1 + -93)/(f/(1665/(-54))). Suppose 30 - v*o + 25/3*o**2 = 0. Calculate o.
2/5, 9
Let f(z) be the third derivative of 7/8*z**6 + 1/70*z**7 + 0*z - 864*z**3 + 12*z**2 + 162*z**4 + 0 + 99/5*z**5. Factor f(s).
3*(s - 1)*(s + 12)**3
Let t(s) = s**2 - 7*s - 2. Let h(n) = 6*n**2 - 210*n - 186. Let p(y) = 3*h(y) - 15*t(y). Determine b so that p(b) = 0.
-1, 176
Let y be 75/(-250)*(-15)/(-18) + (50/8 - 2). Factor 0 - b - 11/4*b**3 - 3*b**2 - 3/4*b**y.
-b*(b + 1)*(b + 2)*(3*b + 2)/4
Let p = -16043/16 - -16191/16. Suppose 11/4*h**3 - 9/2 - p*h**2 - 1/4*h**4 + 45/4*h = 0. What is h?
1, 3, 6
Let y(h) be the third derivative of h**6/120 + 9*h**5 + 6075*h**4/2 - 3034*h**2. Factor y(k).
k*(k + 270)**2
Find z such that -163/2*z - 11*z**2 - 70 + 1/2*z**3 = 0.
-5, -1, 28
Suppose 3*r = 4*b + 7, 2*b = 4*r - 6 - 0. Let l(g) = -3*g**2 - 231*g - 4554. Let p(v) = v + 3. Let a(o) = b*l(o) + 3*p(o). Factor a(q).
3*(q + 39)**2
Suppose 3*u + l + 2*l - 27 = 0, 30*u - 28*u = l. Find d such that 4/3*d - 32/3 + 32/3*d**2 - 4/3*d**u = 0.
-1, 1, 8
Suppose 78*q - 43*q - 70 = 0. Suppose -3*u - 1 = -2*o, 14 = -2*u + 2*o + q*o. Factor 0*x + 1/6*x**u - 1/2*x**2 + 0.
x**2*(x - 3)/6
Let h(t) be the third derivative of 19/12*t**5 + 0*t + 1/24*t**6 + 0 + 15/4*t**4 + 35*t**2 + 0*t**3. Factor h(z).
5*z*(z + 1)*(z + 18)
Let k(d) be the third derivative of d**9/1008 - d**7/140 + d**5/40 - 109*d**3/6 + 119*d**2. Let m(s) be the first derivative of k(s). Factor m(h).
3*h*(h - 1)**2*(h + 1)**2
Let u be (-7)/((-147)/(-1548))*(-6)/(-4). Let h = -3863/35 - u. Factor -h*n**2 + 4/5 + 0*n.
-(n - 2)*(n + 2)/5
Let m = -10828062/13 - -832928. Factor -2450/13 - m*z**2 - 140/13*z.
-2*(z + 35)**2/13
Let i(f) be the first derivative of 2*f**3/51 - 6*f**2/17 - 14*f/17 - 856. Let i(y) = 0. What is y?
-1, 7
Let y be 1 + (-1 - (-32)/6). Suppose x + 6*z - 6 = 74, -3*x + 45 = 3*z. Factor -14/3*k**x - y + 12*k.
-2*(k - 2)*(7*k - 4)/3
Let v = -41 + 43. Factor 24*q**3 + 0 - 410*q**2 + 32 + 476*q**v - 4*q**3 + 2*q**4 + 80*q.
2*(q + 1)**2*(q + 4)**2
Suppose -867032*i = -866971*i - 122. Determine v so that 49/2*v**i + 1 - 51/2*v = 0.
2/49, 1
Let s(h) be the second derivative of -h**4/28 - 4*h**3 + 558*h**2/7 + 3572*h. Find t, given that s(t) = 0.
-62, 6
Let v(t) be the first derivative of -10*t + 1/3*t**3 - 9/2*t**2 - 56. Suppose v(o) = 0. What is o?
-1, 10
Determine u so that 458*u + 1089*u**3 - 557*u**3 - 16*u**2 - 440 - 534*u**3 = 0.
-20, 1, 11
Let a(d) be the first derivative of 9/5*d**4 + 72/5*d**2 - 50 - 4/25*d**5 - 64/5*d - 112/15*d**3. Solve a(l) = 0 for l.
1, 2, 4
Let z(s) be the first derivative of -s**4/2 + 2158*s**3 - 3492723*s**2 + 2512432078*s + 2669. Let z(k) = 0. What is k?
1079
Factor -132*l**2 - 52*l - 61384 + 134*l**2 + 61672.
2*(l - 18)*(l - 8)
Let y(b) = -12*b + 40. Let d be y(4). Let x be (0 + -1)*(d/8 + -1). Suppose -m + 40*m**2 - 37*m**x + 7*m = 0. What is m?
-2, 0
Let g(k) = -2*k**2 - 19*k - 40. Let n be g(-6). Let 2*o**n - 20 - 36 - o + 5*o + 50 = 0. What is o?
-3, 1
Find z, given that -96 + 148/5*z + 484/5*z**2 - 4/5*z**4 - 148/5*z**3 = 0.
-40, -1, 1, 3
Let u be (-278)/14 + 525/2025*81. Solve 4/7 - 2*h + 22/7*h**3 + 10/7*h**4 - 2*h**2 - u*h**5 = 0 for h.
-1, 1/4, 1, 2
Let r(l) be the third derivative of 11*l**5/15 - 15*l**4/4 + 2*l**3/3 - 1532*l**2. Factor r(x).
2*(x - 2)*(22*x - 1)
Let y(j) = -3*j**4 + 41*j**3 + 88*j**2 - 1771*j - 1199. Let m(k) = -k**3 + 11*k - 1. Let u(s) = -3*m(s) - 3*y(s). Solve u(o) = 0 for o.
-6, -2/3, 10
Let 22/5*b**5 + 328/5*b + 72/5 + 378/5*b**4 - 90*b**2 - 70*b**3 = 0. Calculate b.
-18, -1, -2/11, 1
Let m(l) = -9*l**3 + 81*l**2 - 468*l + 408. Let f(u) = -u**3 + 2. Let c(o) = 12*f(o) - m(o). Suppose c(b) = 0. What is b?
-32, 1, 4
Let d(r) = 27*r**2 + 21*r - 6. Let u be (-2)/6*(-11 - -29). Let x(h) = -h**2 - 2*h - 1. Let m(k) = u*x(k) - d(k). Solve m(s) = 0 for s.
-1, 4/7
Solve -5*v**4 - 959*v**3 + 1689*v**3 - 163*v**2 - 632*v**2 + 945*v - 875*v**3 = 0 for v.
-21, -9, 0, 1
Find p, given that -1/7*p**2 - 1052/7*p - 276676/7 = 0.
-526
Determine k so that -2/11*k**5 + 62/11*k**3 - 16/11*k**4 + 0*k - 4*k**2 + 0 = 0.
-11, 0, 1, 2
Let b(h) be the third derivative of 0*h - 3/20*h**4 + 0 + 1/300*h**5 - 205*h**2 + 17/30*h**3. Suppose b(y) = 0. What is y?
1, 17
Factor 564/7*z + 360/7 - 25/7*z**3 + 190/7*z**2.
-(z - 10)*(5*z + 6)**2/7
Let w(z) be the first derivative of 1/1440*z**6 + 25/24*z**4 + 47/3*z**3 + 0*z**2 + 0*z - 1/24*z**5 + 41. Let n(b) be the third derivative of w(b). Factor n(g).
(g - 10)**2/4
Let m = -1795 + 1798. Let l be 3/2*8/3. Factor 3*k**2 + 8*k + 13*k**4 - 6 + k - 12*k**3 + m*k**3 - 10*k**l.
3*(k - 2)*(k - 1)**2*(k + 1)
Let k(p) = 192*p**3 - 228819*p**2 + 90897168*p - 12036298431. Let g(x) = -x**2 + 4*x - 8. Let l(j) = -3*g(j) + k(j). Let l(f) = 0. Calculate f.
1589/4
Let x = 0 - 0. Suppose 99 = -n + 5*d + 108, -5*n = 3*d - 17. Factor 1/5*b**n + 0*b**3 + x - 1/5*b**2 + 0*b.
b**2*(b - 1)*(b + 1)/5
Let v(b) be the third derivative of -b**6/60 - b**5/15 + 31*b**4/4 + 90*b**3 + 7090*b**2. Factor v(z).
-2*(z - 10)*(z + 3)*(z + 9)
Let v be 516*4/1440 - ((-8)/6)/(-1). Let b(t) be the second derivative of -1/30*t**3 + 1/100*t**5 + 0 - 3*t - v*t**2 + 1/60*t**4. Factor b(z).
(z - 1)*(z + 1)**2/5
Let g = -48/397 + 3006/5161. Factor 0 + 0*p + g*p**5 - 4/13*p**4 + 0*p**2 - 2/13*p**3.
2*p**3*(p - 1)*(3*p + 1)/13
Suppose 153*j = 28*j - 11*j + 3808. What is c in -j*c**3 - 4/3*c**5 + 12*c**4 + 0 + 76/3*c**2 - 8*c = 0?
0, 1, 6
Let l(y) be the third derivative of -1/42*y**7 + 2*y + 0*y**3 + 1/6*y**6 - 5/12*y**5 + 0 + 5/12*y**4 + 26*y**2. Suppose l(r) = 0. Calculate r.
0, 1, 2
Solve 616/9 - 2/9*j**3 + 254/3*j + 16*j**2 = 0.
-4, -1, 77
Let p be ((-2)/(-3))/(1547/(-195) - -8). Suppose 0 = 5*u - 2*k, k = 3*k - p. Let 6/5*w + 2/3 - 4/15*w**u = 0. What is w?
-1/2, 5
Determine o, given that 2080 - 2114*o + 197304*o**2 + 30*o - 197300*o**2 = 0.
1, 520
Let m(f) be the third derivative of 87*f**2 + 11/480*f**6 + 1/12*f**4 + 0*f + 0*f**3 - 3/40*f**5 + 0 - 1/1344*f**8 + 0*f**7. Solve m(y) = 0.
-4, 0, 1, 2
Let n(l) be the second derivative of l**7/70 + 3*l**6/20 - 4*l**4 + 39*l**2/2 - 159*l. Let o(j) be the first derivative of n(j). Factor o(g).
3*g*(g - 2)*(g + 4)**2
Let x be 3/2*(4 + 14/(-7)). Suppose x + 28*o - 7*o + 3 + 9*o**2 = 0. What is o?
-2, -1/3
Let d = -306 + 309. Let t(k) = 2*k**3 + k**2 - k + 1. Let r(s) = -34*s**3 - 163*s**2 - 89*s + 37. Let w(z) = d*t(z) + r(z). Determine q, given that w(q) = 0.
-5, -1, 2/7
Let m(i) be the second derivative of 1/50*i**5 + 15*i - 1/30*i**4 - 1/15*i**3 + 1/5*i**2 + 0. Determine h so that m(h) = 0.
-1, 1
Let b be 8/(-10)*(-4585)/1310. What is m in 24/5 + 2/5*m**2 + b*m = 0?
-4, -3
Let c(y) be the first derivative of -y**7/210 + y**6/120 + y**5/60 - y**4/24 - 29*y**2/2 - 2. Let x(q) be the second derivative of c(q). Factor x(f).
-f*(f - 1)**2*(f + 1)
Let f(a) be the second derivative of 1/66*a**4 - 2/11*a**2 - 1/33*a**3 - 114*a + 0. Factor f(j).
2*(j - 2)*(j + 1)/11
Let o(y) = -48*y - 525. Let j be o(-11). Factor 9*i**j - 6 - 44*i - 57*i**2 - 12 + 3*i**3 - 43*i.
3*(i - 6)*(i + 1)*(4*i + 1)
Let z be -2*2 - (6 - 12). Factor 15*x - 85 + 10*x - x + 25 + 3*x**z.
3*(x - 2)*(x + 10)
Solve -34*w**4 + 229*w**2 - 360*w**3 + 457*w**2 + 22*w**2 + 37*w**4 = 0.
0, 2, 118
Let w be 143/11 - (-2323)/(-184). Let u(g) be the second derivative of 16*g - w*g**2 + 0*g**4 + 1/160*g**5 - 7/48*g**3 + 0. Factor u(i).
(i