of 3042*o**2 + 158184*o + 182 + 1/12*o**4 + 26*o**3. Suppose f(i) = 0. What is i?
-78
Let u(s) be the second derivative of 18*s + 0*s**3 + 0*s**2 - 2/5*s**4 + 3/10*s**5 - 1/70*s**7 + 4 - 1/50*s**6. What is t in u(t) = 0?
-4, 0, 1, 2
Let i(a) be the first derivative of 11*a**6/120 + 23*a**5/20 + a**4 + 2*a**3/3 - 68*a + 23. Let f(o) be the third derivative of i(o). Let f(l) = 0. What is l?
-4, -2/11
Let q(p) be the second derivative of 0 - 1/10*p**6 + 2*p**2 + p + 2*p**3 - 1/42*p**7 + 1/20*p**5 + 11/12*p**4. Factor q(j).
-(j - 2)*(j + 1)**3*(j + 2)
Let h(p) = 8*p**2 + 14308*p + 13820. Let n(k) = -3*k**2 - 5731*k - 5528. Let r(g) = 5*h(g) + 12*n(g). Factor r(v).
4*(v + 1)*(v + 691)
Let x be (4 - 20 - 2144/(-134))/(-1 + 0). Factor x + 4*m**3 - 32/5*m - 72/5*m**2.
4*m*(m - 4)*(5*m + 2)/5
Let k = -505504 + 505508. Determine w, given that 1/4*w**5 + 0 + 23*w**2 + k*w**4 + 11*w + 63/4*w**3 = 0.
-11, -2, -1, 0
Let v(r) be the second derivative of r**4/27 - 202*r**3/27 + 196*r**2/3 - 1862*r. Factor v(n).
4*(n - 98)*(n - 3)/9
Solve -2*z**3 - 8383 - 2029*z**2 + 3*z**3 + 4242*z + 1705*z**2 + z**3 - 6121 = 0 for z.
7, 148
Let s(m) be the third derivative of -m**7/1680 + 1021*m**6/960 - 544*m**5 + 21675*m**4/16 + 2716*m**2. Factor s(i).
-i*(i - 510)**2*(i - 1)/8
Factor 98/5*c**4 - 182/5*c**3 + 0 - 18/5*c + 102/5*c**2.
2*c*(c - 1)*(7*c - 3)**2/5
Let s(i) be the second derivative of i**6/120 + 9*i**5/20 + 27*i**4/4 - 54*i - 14. What is u in s(u) = 0?
-18, 0
Let q = 423 + -431. Let v be q/(-18) - ((-164)/36 - -3). Factor -v*r - 2/7*r**4 - 10/7*r**3 - 4/7 - 18/7*r**2.
-2*(r + 1)**3*(r + 2)/7
Let d be 45/30*(-664)/(-6). Find q, given that 4 - 26 - 142*q - 2*q**2 + d*q = 0.
1, 11
Suppose -s + 3*s - 2 = 0, 16*a + 5*s = 11*a + 5. Determine w, given that 3/4*w**2 + a - 3/4*w = 0.
0, 1
Factor 1540*k + 515 + 359*k**2 - 39*k**3 + 195*k**3 + 466*k**2 + 344*k**3 + 705*k**2 - 5*k**4.
-5*(k - 103)*(k + 1)**3
Let p(v) be the third derivative of 0 + 4*v**2 + 0*v**4 - 1/80*v**5 + 7/480*v**6 - 11/6*v**3 + 0*v. Let l(f) be the first derivative of p(f). Factor l(z).
3*z*(7*z - 2)/4
Let q be 1/((-4)/(-12) + 0). Let 1 + 156*g**q + 164*g + 36*g**4 - 332*g**2 - 3 - 22 = 0. What is g?
-6, 1/3, 1
Factor 14713 - 3*c**2 - 161*c + 2*c**2 - 2*c**2 + 2*c**2 - 14873.
-(c + 1)*(c + 160)
Let l(o) = 4*o**4 - 6*o**2 - o - 3. Let a(f) be the first derivative of f**5/5 - f**3/3 - f**2/2 - f + 83. Let d(u) = 6*a(u) - 2*l(u). Factor d(b).
-2*b*(b - 1)**2*(b + 2)
Let n(o) be the second derivative of -o - 49 - 9/140*o**5 + 5/14*o**4 + 0*o**2 - 1/2*o**3. Solve n(d) = 0.
0, 1, 7/3
Let u(n) be the third derivative of -n**6/840 - 37*n**5/60 - 5633*n**4/56 - 5547*n**3/14 - 6711*n**2. Factor u(r).
-(r + 1)*(r + 129)**2/7
Let w(i) be the first derivative of i**8/420 + i**7/84 + i**6/90 + 21*i**3 + 124. Let u(a) be the third derivative of w(a). Factor u(m).
2*m**2*(m + 2)*(2*m + 1)
Suppose -51*n - 58*n = -3*n. Determine z so that n*z + 3/5*z**3 - 12/5*z**2 + 0 = 0.
0, 4
Let c(x) be the first derivative of 0*x**2 - 40/3*x**4 + 21 + 0*x - 29/3*x**3 - 2/3*x**5 - 1/72*x**6. Let n(m) be the third derivative of c(m). Factor n(a).
-5*(a + 8)**2
Let c be 27/((-5940)/(-2440)) + (-3)/((-3)/(-10)). Factor -2/11*n**2 - c - 10/11*n.
-2*(n + 2)*(n + 3)/11
Let p be 749/(-1391)*26/(-6). Determine l, given that 13/3*l**2 + 0 - 1/3*l**4 - 1/3*l**5 + p*l**3 + 2*l = 0.
-2, -1, 0, 3
Find q, given that -44 - 2/3*q**2 + 50/3*q = 0.
3, 22
Factor 3053*u**3 + 399*u**2 - 444 - 6101*u**3 + 1677*u + 3036*u**3.
-3*(u - 37)*(u + 4)*(4*u - 1)
Determine f so that -48 - 37*f - 39*f - 110*f - 2*f**2 - 316 = 0.
-91, -2
Suppose -62*u - 40 = -22*u. Let s(q) = -q**3 - 8*q**2 - 36*q + 296. Let c(z) = -2*z**3 - z + 2. Let t(j) = u*c(j) + s(j). Factor t(g).
(g - 7)**2*(g + 6)
Let l(v) be the second derivative of v**6/120 + 7*v**5/80 - 43*v**4/48 - 259*v**3/24 + 147*v**2/4 + 1750*v. Factor l(i).
(i - 6)*(i - 1)*(i + 7)**2/4
Let k(x) be the second derivative of x**5/40 + 5*x**4/8 + 23*x**3/12 - 39*x**2/4 + 502*x - 1. Determine t so that k(t) = 0.
-13, -3, 1
Let l be 220/33*(-18)/(-24). Let j be (-9)/3 - -1 - -4. Factor -4*h - 986*h**j - 12*h**4 - h**3 + l*h**3 + 998*h**2.
-4*h*(h - 1)*(h + 1)*(3*h - 1)
Let u be -60*(64/(-24) - -2). Solve 116*h**3 + 126*h**2 - 40*h**2 + u*h**4 + 40*h**2 - 5*h**3 - 4*h**4 + 3*h**5 + 48*h = 0.
-8, -2, -1, 0
Let u(d) be the second derivative of -d**7/147 - 2*d**6/105 + d**5/10 + 4*d**4/21 - 4*d**3/7 - 2*d - 401. Determine z so that u(z) = 0.
-3, -2, 0, 1, 2
Let s(p) = p**3 + p**2 - p + 1. Let a(d) = -4*d**3 - 4*d**2 + 4*d - 2. Suppose 0*o - o = -3. Let g = 80 - 79. Let x(l) = g*a(l) + o*s(l). Factor x(u).
-(u - 1)*(u + 1)**2
Let j(b) = 125*b**2 - 3725*b - 130. Let t(p) = 125*p**2 - 3723*p - 128. Let g(c) = 11*j(c) - 10*t(c). Find w, given that g(w) = 0.
-1/25, 30
Factor 77/3*h - 1/3*h**2 + 80.
-(h - 80)*(h + 3)/3
Factor 394/5 - 2/5*g**2 - 392/5*g.
-2*(g - 1)*(g + 197)/5
Let b(i) be the first derivative of -7*i**2 - 83 - 20*i - 2/3*i**3. Solve b(m) = 0 for m.
-5, -2
Let f(v) = -v**3 - 23*v**2 + 2*v + 48. Let x be f(-23). Let g be (x/(-7))/((-168)/1372). Let -5/3*l**5 + 0*l**2 + g*l**4 - 2/3*l**3 + 0*l + 0 = 0. What is l?
0, 2/5, 1
Let s(z) = -z**3 + 80*z**2 - 2246*z - 17518. Let y(w) = 2*w**2 - 2*w + 2. Let r(h) = -3*s(h) - 33*y(h). Factor r(p).
3*(p - 54)**2*(p + 6)
Let l(k) = -5*k**3 + 905*k**2 + 6*k - 1084. Let r be l(181). Factor 0 - 646/9*f**3 + 0*f - 2/9*f**5 + 722/9*f**r - 74/9*f**4.
-2*f**2*(f - 1)*(f + 19)**2/9
Let c be ((-12)/54)/((-58)/87). Let s(r) be the first derivative of -r**2 + 7 - c*r**3 + 0*r. What is q in s(q) = 0?
-2, 0
Let c(t) be the third derivative of -2/9*t**3 - 11/720*t**6 + 0*t + 1/12*t**4 + 1/210*t**7 - t**2 + 1/180*t**5 + 42 - 1/2016*t**8. Factor c(x).
-(x - 2)**3*(x - 1)*(x + 1)/6
Suppose -44*k + 449 = -79. Suppose 41*d - 6 = 39*d - m, -3*m - k = 0. Determine c so that -2/9*c**d + 0*c**4 + 4/3*c**3 + 0 - 16/9*c**2 + 2/3*c = 0.
-3, 0, 1
Let y = -490 - -492. Solve 16*z + 14*z**2 - 32*z**y - 24*z**2 - 3*z**5 + 18*z**4 - 42*z**4 - 63*z**3 + 44*z + 72 = 0 for z.
-3, -2, 1
What is r in 6848*r**2 + 1551825*r + 2007294 - 11*r**3 - 7882886 + 1372259*r + 15*r**3 = 0?
-857, 2
Let n(c) = c**2 + 7*c - 44. Let l be n(-11). Let h = 82 - 1064/13. Factor l*u + h*u**2 + 0.
2*u**2/13
Let y(g) be the third derivative of g**6/270 - 14*g**5/135 + 17*g**4/18 - 4*g**3 - 5699*g**2. Factor y(u).
4*(u - 9)*(u - 3)*(u - 2)/9
Let t(l) = -l**2 - 5*l - 3. Let z(y) = -4*y**3 - 3*y**3 - 13 - 21*y + 8*y**3 - 6*y**2 + 0*y**3. Let c(p) = -26*t(p) + 6*z(p). Find j such that c(j) = 0.
0, 2/3, 1
Let m(r) be the first derivative of 4/3*r + 5/9*r**3 + 29 - 3/5*r**5 - 2*r**2 + r**4. Let m(w) = 0. Calculate w.
-1, 2/3, 1
Suppose -5*m - j = 2*j + 115, 0 = -4*m - 4*j - 100. Let l = m - -29. Find h such that -l*h - 2*h + h + 7*h**3 - 6*h**2 + 3*h**4 - 2*h + 8 = 0.
-2, 2/3, 1
Factor -7/2*y + 5/4*y**4 + 1/8*y**5 + 21/8*y**3 - 1/2*y**2 + 0.
y*(y - 1)*(y + 2)**2*(y + 7)/8
Let r(z) be the third derivative of z**5/15 + 191*z**4/6 + 252*z**3 - 404*z**2 + 5*z. Factor r(a).
4*(a + 2)*(a + 189)
Let u = 1831/1355 - 41/271. Let -9/5 + u*t + 3/5*t**2 = 0. Calculate t.
-3, 1
Factor -61*n**2 + 44 - 12*n + 55*n - 17*n - 2*n**3 + 41*n**2.
-2*(n - 2)*(n + 1)*(n + 11)
Let r(l) = -l**3 + 37*l**2 - 1295*l - 1371. Let t(d) = -8*d**3 + 278*d**2 - 10360*d - 10969. Let c(a) = -51*r(a) + 6*t(a). Factor c(s).
3*(s - 37)**2*(s + 1)
Suppose -5*p + 10*p - 10 = 0. Let r be (-3)/(-15) + -12*p/(-40). Find a such that -r*a + 4/5*a**3 + 0 - 2/5*a**2 + 2/5*a**4 = 0.
-2, -1, 0, 1
Let w be ((779/76)/41)/((-1)/(-20)). Let q(k) be the second derivative of 1/65*k**w + 0*k**2 + 1/39*k**3 + 1/26*k**4 + 0 - 4*k. Factor q(r).
2*r*(r + 1)*(2*r + 1)/13
Let g = 57 + -42. Suppose -7*d + 2*d + g = 0. Solve 4*l**5 - 12*l**2 - 4*l**4 - 9*l**d - 4*l**3 + 5*l**3 - 12*l**3 = 0.
-1, 0, 3
Let u = 24956 - 24943. Let y(z) be the second derivative of -5/3*z**4 - u*z + 12*z**2 + 0 - 14/3*z**3. Factor y(k).
-4*(k + 2)*(5*k - 3)
Let x be (-361)/(-95) - 2*(-4)/(-10). Let p be (-6)/(-9)*-5 + 4. Factor -2/3 + 0*n + 0*n**x + 4/3*n**2 - p*n**4.
-2*(n - 1)**2*(n + 1)**2/3
Suppose 46*g - 259 = 228 - 395. Let n = 5 + -3. Determine j so that 0*j**n + 3/5 - g*j**3 - 3/5*j**4 + 2*j = 0.
-3, -1, -1/3, 1
De