= p + 51/2. What is i in 4/5*i**2 + 0*i + s*i**3 + 0 - 2/5*i**5 - 4/5*i**4 = 0?
-2, -1, 0, 1
Let l = 24184 + -24175. Let a(d) be the first derivative of l*d**2 + d**3 - 39 + 3/5*d**5 + 0*d - 3*d**4. Factor a(r).
3*r*(r - 3)*(r - 2)*(r + 1)
Let s(y) = -y**2 + y + 4. Let q(g) be the third derivative of g**5/3 + 15*g**4/8 - 25*g**3/6 - g**2 - 104. Let m(a) = -q(a) - 25*s(a). Solve m(w) = 0.
-1, 15
Determine d, given that -431058 + 1296165 - 3222*d + d**2 - d**2 + 3*d**2 = 0.
537
Factor -327/4*y + 0 + 165/2*y**2 - 3/4*y**3.
-3*y*(y - 109)*(y - 1)/4
Factor 26/5*h - 22/5*h**2 - 4/5.
-2*(h - 1)*(11*h - 2)/5
Let k(a) be the third derivative of a**5/270 - 23*a**4/108 + 14*a**3/9 + 422*a**2 + 1. Factor k(m).
2*(m - 21)*(m - 2)/9
Let b(v) be the third derivative of 2*v**7/35 + 21*v**6/40 - 19*v**5/20 - 3*v**4/4 + 2*v**2 + 254. Determine h, given that b(h) = 0.
-6, -1/4, 0, 1
Let x(i) be the third derivative of -2*i**7/525 + 11*i**6/150 - 32*i**5/75 + 2*i**4/15 + 32*i**3/5 + 2117*i**2. Determine n so that x(n) = 0.
-1, 2, 4, 6
Let k(n) be the second derivative of -25*n + 4/9*n**2 + 2 - 1/54*n**4 - 1/9*n**3. Let k(v) = 0. Calculate v.
-4, 1
Suppose 0 = -o - k - 1, o = -3*o + 4*k + 20. Factor 6*n**2 - 9*n**2 - o*n**2.
-5*n**2
Let k(d) be the first derivative of -16/33*d**3 - 60 - 1/33*d**6 + 4/55*d**5 - 4/11*d + 7/11*d**2 + 1/11*d**4. Factor k(q).
-2*(q - 1)**4*(q + 2)/11
Let z(y) be the second derivative of 7*y + 1/180*y**6 - 5/6*y**3 + 0 - 1/30*y**5 + 0*y**4 + 0*y**2. Let q(w) be the second derivative of z(w). Solve q(n) = 0.
0, 2
Let l = 1057 - 1055. Let a(v) be the second derivative of 0*v**l - 5*v + 1/9*v**3 + 1/36*v**4 + 0. Factor a(p).
p*(p + 2)/3
Let d(u) be the second derivative of -u**5/4 - 20*u**4/3 - 130*u**3/3 - 120*u**2 + 2988*u. Factor d(t).
-5*(t + 2)**2*(t + 12)
Suppose -g = -3*m - 3*g, -4*m = -5*g. Suppose m = 7*o - 20 - 15. Determine s, given that -24*s - 2*s**3 + o*s**3 - 4*s**2 - 5*s**3 + 30*s = 0.
-3, 0, 1
Suppose -25 = 16*c + 39. Let l be 1/6*c - (-7 - -5). Let -2/3*d**3 + 0 + 0*d + l*d**2 = 0. What is d?
0, 2
Let k(l) = -22474*l + 67425. Let c be k(3). Solve 3/7*v**c - 12 - 36/7*v**2 + 117/7*v = 0 for v.
1, 4, 7
Let d be (0 - 0)*(-43)/344. Let n(i) be the third derivative of -1/60*i**4 + 7*i**2 + d*i**3 - 2/75*i**5 - 2/525*i**7 + 0*i + 0 - 1/60*i**6. Factor n(f).
-2*f*(f + 1)**2*(2*f + 1)/5
Let v(x) = 28*x**2 + 223*x - 5. Suppose -30*a + 34*a + 32 = 0. Let r be v(a). Suppose 0*y**r + 2/11*y**5 - 2/11*y + 0 - 4/11*y**2 + 4/11*y**4 = 0. Calculate y.
-1, 0, 1
Factor -488*g - 1440 - 1519*g - 537*g**2 - 177*g**2 + 2*g**3 - 149*g.
2*(g - 360)*(g + 1)*(g + 2)
Suppose 0 = -26*l - 120 - 348. Let w be 16/l - 2132/(-738). Solve 1/7*q**w + 10/7 - 11/7*q = 0 for q.
1, 10
Let k be (5/6)/((-54)/(-1620)). Factor -k - 191*z**2 - 5*z**3 - 55*z - 185*z**2 + 341*z**2.
-5*(z + 1)**2*(z + 5)
Let r(w) = -4*w**2 + 143*w + 59. Let m be r(23). Let o = m - 1229. Factor 1/4*z**o - 9/4*z**2 + 27/4*z - 27/4.
(z - 3)**3/4
Let m be (-51)/(-7) + 9/((-126)/4). Let s**4 - 14*s**2 - 11*s - 3 - 6*s**3 + 4*s**5 + 3*s**5 + m*s**5 - 13*s**5 + 0 = 0. What is s?
-1, 3
Let p(j) be the third derivative of -j**8/112 - 33*j**7/70 + 111*j**6/20 - 229*j**5/10 + 387*j**4/8 - 117*j**3/2 - j**2 - 1322*j. Factor p(l).
-3*(l - 3)*(l - 1)**3*(l + 39)
Factor b**2 - 6*b**2 + 145200 - 2*b**2 + 10*b**2 - 1320*b.
3*(b - 220)**2
Let 436*y**3 + 49/4*y**5 + 256*y - 576*y**2 + 0 - 126*y**4 = 0. Calculate y.
0, 8/7, 4
Let n(a) be the second derivative of a**4/30 + 31*a**3/15 - 32*a**2/5 - 3*a - 1221. Determine c, given that n(c) = 0.
-32, 1
Let h(q) = -446*q**2 - 3096*q + 186. Let t be h(-7). Let 2/5*n**2 - 3/5*n**3 - 8/5*n**t + 0 + 0*n - 3/5*n**5 = 0. What is n?
-2, -1, 0, 1/3
Suppose 100 = 69*c - 107. Let r be 133/c + 138/(-23) - -2. Factor -1/3*o**2 - r - 22/3*o.
-(o + 11)**2/3
Let t = -298 - -462. Let c be 41/t - (1 + -1). Factor c*f**3 + 1/4*f**2 - 1/4 - 1/4*f.
(f - 1)*(f + 1)**2/4
Let l = -23433 + 23435. Let c(n) be the third derivative of -1/175*n**7 + 0*n - 1/15*n**4 + 0 - 13/300*n**6 - 8/75*n**5 + 0*n**3 - 20*n**l. Factor c(y).
-2*y*(y + 2)**2*(3*y + 1)/5
Let a(g) be the third derivative of -g**5/90 - 65*g**4 - 152100*g**3 + 1412*g**2 + 2. Factor a(l).
-2*(l + 1170)**2/3
Factor 384*n - 424*n - 11*n**3 + 9*n**3 + n**4 - 43*n**2.
n*(n - 8)*(n + 1)*(n + 5)
Factor 0*g**3 + 2*g**3 - 18763*g**4 + 37534*g**4 - 18769*g**4.
2*g**3*(g + 1)
Let o(b) be the first derivative of -b**4/3 + 2*b**3 + 20*b**2 + 3*b - 141. Let a(v) be the first derivative of o(v). Determine y so that a(y) = 0.
-2, 5
Let u(i) = i**3 - 3*i**2 - 6*i - 5. Let d be u(5). Let a be 2 - ((-95)/d + 7). Factor -4/3*g + a*g**2 - 8/3.
4*(g - 2)*(g + 1)/3
Factor 117/4*w - 111/2 - 3/4*w**3 + 27*w**2.
-3*(w - 37)*(w - 1)*(w + 2)/4
Let a(d) be the third derivative of d**7/1155 - 7*d**6/660 + 7*d**5/165 - 2*d**4/33 - 870*d**2. Factor a(b).
2*b*(b - 4)*(b - 2)*(b - 1)/11
Let i = 60108/7 - 8584. What is v in i*v - 4/7*v**3 - 16/7*v**2 + 0 = 0?
-5, 0, 1
Let m(l) be the first derivative of l**4/16 - 3*l**3/4 - 13*l**2/2 - 859. Determine z so that m(z) = 0.
-4, 0, 13
Factor -295 - 150*b - 5/4*b**2.
-5*(b + 2)*(b + 118)/4
Let s(t) be the third derivative of 3*t**8/112 - 7*t**7/15 - 127*t**6/60 + 6*t**5/5 + 245*t**4/24 + 13*t**3/3 + 159*t**2 + 14. What is g in s(g) = 0?
-2, -1, -1/9, 1, 13
Let a(n) = -5*n**5 - 1017*n**4 + 2072*n**3. Let u(b) = 5*b**5 + 1013*b**4 - 2073*b**3. Let s(y) = -3*a(y) - 2*u(y). Factor s(q).
5*q**3*(q - 2)*(q + 207)
Suppose 1/12*b**2 + 7/3 - 29/12*b = 0. Calculate b.
1, 28
Let w(x) = -x**2 - 64*x + 121. Let j(o) = -32*o + 64. Let k(y) = -5*j(y) + 2*w(y). Find s, given that k(s) = 0.
3, 13
Find i, given that -21 + 8 + 175*i - 2176*i**2 + 2181*i**2 + 13 = 0.
-35, 0
Let a be 7 - (2 + (8 - -14)). Let b(g) = -23*g - 391. Let l be b(a). Suppose -2/9*t**4 + l*t + 4/9*t**3 + 0*t**2 + 0 = 0. Calculate t.
0, 2
Let g(t) be the third derivative of t**8/28 + 44*t**7/35 + 501*t**6/40 + 437*t**5/20 + 13*t**4 + t**2 - 10*t - 5. Let g(q) = 0. What is q?
-13, -8, -1/2, 0
Let p = 14234 - 14230. Let r(c) be the first derivative of -28 + 4/51*c**3 + 5/17*c**2 - 1/34*c**p - 12/17*c. Find b, given that r(b) = 0.
-2, 1, 3
Solve -40*c**3 + 2106*c**4 + 80 - 2102*c**4 + 124*c**2 + 112*c - 136*c**2 = 0.
-1, 2, 10
Let j = -5 + 9. Suppose 0*q = -4*i - j*q + 600, -3*q + 598 = 4*i. Factor -2*w**4 - 76*w**3 + 2*w**5 + i*w**3 - 76*w**3.
2*w**3*(w - 2)*(w + 1)
Let p(d) be the third derivative of -d**5/300 - 49*d**4/120 - 23*d**3/5 - 176*d**2 + 2. Determine w, given that p(w) = 0.
-46, -3
Let a(f) = 16*f**3 + 374*f**2 - 78*f + 92. Let v(q) = -4*q**3 - 94*q**2 + 13*q - 23. Let u(t) = -3*a(t) - 11*v(t). Find n such that u(n) = 0.
-23, 1/2
Let q(h) be the first derivative of -h**4/6 + 184*h**3/9 - 355*h**2/3 + 176*h - 283. Find x, given that q(x) = 0.
1, 3, 88
Factor 994*q**2 + 163*q**3 - 7387*q**2 - q**4 - 167*q**2 - 6724*q.
-q*(q - 82)**2*(q + 1)
Let 149*j**5 + 16*j - 261*j**5 + 139*j**5 + 39*j**4 + 16 + 42*j**4 - 104*j**2 = 0. What is j?
-2, -1/3, 2/3
Let f(g) be the third derivative of g**8/70560 - g**7/1960 - 83*g**5/60 - 3*g**2 - 50*g. Let o(p) be the third derivative of f(p). Solve o(u) = 0.
0, 9
Let i(l) be the first derivative of -l**4 - 56*l**3/3 - 18*l**2 + 1296*l + 3321. Let i(s) = 0. What is s?
-9, 4
Let d(q) = 2*q**2 - 33*q + 12. Let r be d(16). Let h be (3/r)/((-1)/4). Factor -16*w**4 - 24*w**5 + 10*w**3 + 20*w**5 - 26*w**h.
-4*w**3*(w + 2)**2
Let r be (2 - -24 - 20)*(129/63 - 2). Factor 50/7*g - r*g**3 + 26/7 + 22/7*g**2.
-2*(g - 13)*(g + 1)**2/7
Factor -36/7*r**3 + 94/7*r**2 + 2/7*r**4 - 60/7*r + 0.
2*r*(r - 15)*(r - 2)*(r - 1)/7
Let g(r) be the third derivative of 0*r - 4 - 43/144*r**4 + 1/360*r**5 - 11/9*r**3 - 20*r**2. Factor g(f).
(f - 44)*(f + 1)/6
Suppose z + 0*z - 5 = o, -3*z + 15 = 0. Suppose -23 + 29 = 5*l + v, -2*l - v = 0. Let 21/4*n**3 - 3/4*n**l + 0 + o*n = 0. Calculate n.
0, 1/7
Let u be 9 + -2 - ((3 - 1) + 2). Let h(t) be the first derivative of -19 + 2/3*t**u - 6*t**2 + 10*t. Factor h(r).
2*(r - 5)*(r - 1)
Let t(x) be the second derivative of 2*x**6/5 - 166*x**5/15 + 25*x**4 - 136*x**3/9 - 8*x + 194. Solve t(d) = 0.
0, 4/9, 1, 17
Let q(i) be the first derivative of 0*i - 70 + 2/3*i**3 + 9*i**2. Solve q(l) = 0 for l.
-9, 0
