/420 + l**6/360 - l**5/6 + 35*l**4/12 - 2*l + 9. Let b(r) be the third derivative of d(r). Factor b(q).
2*(q + 2)*(3*q - 5)
Suppose 9*l = -17 + 44. Suppose -n - 3*t + 17 = 0, 3*n - 2*t + l = -1. Factor 6*w**3 - 18*w**3 - 8 + 10*w**3 - 3*w**n + 9*w**2.
-2*(w - 2)**2*(w + 1)
Let a(u) be the second derivative of u**5/4 - 5*u**4/3 - 355*u**3/6 - 165*u**2 + 1614*u. Factor a(y).
5*(y - 11)*(y + 1)*(y + 6)
Let p be (13 - 4) + (-170)/17. Let k(z) = -13*z**4 - 70*z**3 + 31*z**2. Let o(r) = -r**4 - 3*r**2. Let l(t) = p*k(t) - 2*o(t). Factor l(b).
5*b**2*(b + 5)*(3*b - 1)
Let g(t) be the second derivative of -t**4/102 + 77*t**3/51 + 158*t**2/17 - 7*t - 77. Let g(u) = 0. What is u?
-2, 79
Suppose -69 = 2*r - 77. Let k(i) = -4*i**2 + 12*i**3 + r*i**2 - 13*i**3 - i - 1. Let m(n) = 2*n**3 + 5*n**2 - 4*n + 6. Let c(h) = 3*k(h) + m(h). Factor c(w).
-(w - 3)*(w - 1)**2
Let p(i) = -11*i**2 + 188*i - 564. Let o(w) = 41*w**2 - 754*w + 2256. Let v(x) = -3*o(x) - 11*p(x). Find u, given that v(u) = 0.
3, 94
Let h = 8/309 - -562/2163. Let m(q) be the second derivative of 1/21*q**4 + 0 + 0*q**2 - 15*q - h*q**3. Solve m(u) = 0 for u.
0, 3
Let f(q) = q**2 - 5. Let p be f(6). Let -276*g**2 - 72*g**4 - p - 6 - 13*g**5 - 22 + 3*g**5 - 184*g - 202*g**3 + 11 = 0. What is g?
-2, -6/5, -1
Determine u, given that -30*u**2 - 201/4*u**3 + 0 - 69/4*u**4 + 3*u = 0.
-2, -1, 0, 2/23
Let d(h) be the third derivative of 0*h**4 + 0*h + 87*h**2 - 1/1050*h**7 - 1/300*h**6 + 0*h**3 - 1/300*h**5 + 0. Factor d(n).
-n**2*(n + 1)**2/5
What is b in -295*b**2 - b**3 - b**3 - 239*b**2 + 460 + 0*b**3 + 486*b + 558*b**2 = 0?
-10, -1, 23
Factor 3720 - 5*r**3 - 3720 + 4*r**2 + r**4.
r**2*(r - 4)*(r - 1)
Let m = -175 - -171. Let t(a) = 3*a**2 - 5*a + 2. Let g(p) = -8*p**2 + 14*p - 6. Let z(h) = m*g(h) - 11*t(h). Suppose z(d) = 0. What is d?
-2, 1
Let a(k) be the third derivative of k**5/120 - 65*k**4/4 + 12675*k**3 + 1077*k**2 - 3. Let a(b) = 0. Calculate b.
390
Find d such that 14988*d**4 - 14966*d**4 - 267*d**2 - 112*d - 260*d**3 - 397*d**2 = 0.
-2, -2/11, 0, 14
Let n(b) = -2*b**2 - 2*b + 4. Let y(g) be the second derivative of g**4/12 - 2*g**2 + 31*g + 1. Let v(t) = 2*n(t) + 3*y(t). Factor v(p).
-(p + 2)**2
Let p(a) be the second derivative of -a**4/12 + 87*a**3 - 68121*a**2/2 + 967*a. Solve p(d) = 0 for d.
261
Let f(j) be the third derivative of 5*j**4/12 - 209*j**3/3 - 577*j**2. Let w be f(42). Factor 3/5*h**w - 3/5*h - 3/5 + 3/5*h**3.
3*(h - 1)*(h + 1)**2/5
Let u(i) = -i**3 + 2*i**2 + 2. Let s(f) = 5*f**4 + 344*f**3 - 353*f**2 - 710*f + 12. Let k(x) = -s(x) + 6*u(x). Factor k(r).
-5*r*(r - 2)*(r + 1)*(r + 71)
Factor -2310*s + 5*s**2 + 877*s - 1646*s + 304*s.
5*s*(s - 555)
Let p(m) be the third derivative of -m**8/1848 - m**7/420 - m**6/990 - 7*m**3/6 + m**2 + 3. Let o(x) be the first derivative of p(x). Factor o(i).
-2*i**2*(i + 2)*(5*i + 1)/11
Let q = -43059 + 258355/6. What is w in -2/3*w**2 + 0*w + 2/3*w**4 + q*w**3 - 1/6*w**5 + 0 = 0?
-1, 0, 1, 4
Let g(c) = -c**3 - 12*c**2 + 9*c - 50. Let x be g(-13). Determine o so that -4/5 - 1/5*o**x + 4/5*o = 0.
2
Determine n, given that -154 + 392*n**2 + 298 - 184 + 1418*n**2 + 885*n - 240*n**3 = 0.
-1/2, 1/24, 8
Let k(t) be the second derivative of -t**6/6 + 1145*t**5/4 + 5735*t**4/4 + 17215*t**3/6 + 2870*t**2 - 193*t - 1. Let k(n) = 0. What is n?
-1, 1148
Let g(q) be the second derivative of 5*q**7/42 + 31*q**6/2 + 2207*q**5/4 + 10115*q**4/12 - 1840*q**3 - 5290*q**2 - 98*q - 3. Determine v so that g(v) = 0.
-46, -1, 1
Suppose -71 = -37*h - 4*k + 3*k, 4*h - 17 = 3*k. Find o, given that -14 + 2/7*o**3 + 18*o - 30/7*o**h = 0.
1, 7
Factor -22*s**2 - 48*s - 1/4*s**4 - 36 - 4*s**3.
-(s + 2)**2*(s + 6)**2/4
Factor 0 + 0*q**2 + 0*q - 2*q**3 - 1/9*q**5 + q**4.
-q**3*(q - 6)*(q - 3)/9
Factor 191*t**2 + 7668*t**3 + 7678*t - 11703*t**2 - 2524*t**4 - 1920 - 2*t**5 + 612*t**4.
-2*(t - 1)**4*(t + 960)
Let z(x) be the third derivative of x**6/120 + x**4/4 + x**3/2 + 24*x**2 + 2*x. Let d be z(0). Solve 2*m**2 + 14/5*m + 6/5 + 2/5*m**d = 0.
-3, -1
Let t(g) = 2*g. Let l(v) = -3*v**2 - 49*v - 66. Let z(o) = -l(o) - 5*t(o). Determine f so that z(f) = 0.
-11, -2
Let d = -94514 - -238514. Factor 519136/3*f**3 + 196/3*f**5 + 1663680*f**2 + d + 17528/3*f**4 - 993600*f.
4*(f + 30)**3*(7*f - 2)**2/3
Let h be (-15 + 0)/(-2 + 38/22). Suppose -103 = -3*x - h. Factor -28/3*q**5 - x*q**4 + 0 + 8/3*q**2 + 0*q - 4*q**3.
-4*q**2*(q + 1)**2*(7*q - 2)/3
Let d(i) be the first derivative of 121*i**5/20 - 451*i**4/8 + 311*i**3/4 + 90*i**2 + 27*i + 4540. Suppose d(x) = 0. Calculate x.
-3/11, 2, 6
Let a be (-985)/591 - (-1 + 16/10)/((-11)/55). Solve -2/9*j**3 - 26/9*j - 16/9*j**2 - a = 0.
-6, -1
Let j = 871/24 + -145/4. Let o(r) be the first derivative of j*r**3 - 24 - 1/4*r + 1/16*r**2. Find s such that o(s) = 0.
-2, 1
Let u(m) be the second derivative of -m**7/7 + 49*m**6/15 - 7*m**5/10 - 51*m**4/2 + 146*m**3/3 - 32*m**2 - 6*m + 17. Let u(n) = 0. Calculate n.
-2, 1/3, 1, 16
Suppose -5*i + 107 - 26 = 3*r, 4*i - 54 = 3*r. Suppose 4*s = 5*m + i, 5*s - 13 = 4*m - 1. Let s + 64/5*c**2 + 4/5*c**4 - 28/5*c**3 - 48/5*c = 0. What is c?
0, 2, 3
Let w be 34614/6410 + (83/5 - 2). Factor -26/3*x - w + 2/3*x**2.
2*(x - 15)*(x + 2)/3
Let m(u) be the first derivative of -u**3/9 - 255*u**2 - 195075*u - 1073. Solve m(q) = 0 for q.
-765
Let s(q) = 2*q**3 - 11*q**2 + 10*q - 23. Let b be s(5). Factor 7*g**b - 24*g**3 + 109*g**2 - 68*g**2 - 32*g + 4*g**4.
4*g*(g - 2)**3
Let g(h) = -6*h**2 + 21*h - 7. Let n(p) = p**2 + 4*p. Let r(y) = 3*g(y) + 6*n(y). Let r(c) = 0. What is c?
1/4, 7
Let y(v) be the second derivative of v**5/18 + 173*v**4/54 + 260*v**3/27 - 44*v**2/3 - 1174*v. Determine p so that y(p) = 0.
-33, -2, 2/5
Let b = 311/607 + -15/1214. Let m(n) be the first derivative of 6 - b*n**2 - 1/21*n**3 + 0*n. Factor m(c).
-c*(c + 7)/7
Let o = -45 - -71. Suppose o = 5*i - m - 113, 4*m = 2*i - 70. Determine j, given that i*j**2 - 9*j**4 + 12 - 5*j**3 + 36*j - 4*j**3 + 3*j**3 = 0.
-1, -2/3, 2
Let p(l) be the second derivative of l**6/480 - l**5/60 - l**4/6 + 8*l**3/3 + 61*l**2/2 - 89*l. Let m(f) be the first derivative of p(f). Factor m(o).
(o - 4)**2*(o + 4)/4
Let v(z) = -z**2 - 80*z - 373. Let w be v(-5). Let t(d) be the first derivative of -31 + 0*d + 3/7*d**w - 3/7*d**3 + 3/35*d**5 + 0*d**4. Solve t(h) = 0.
-2, 0, 1
Factor -264*r**4 + 9*r**2 - 53*r**2 - 104*r - 262*r**4 + 34*r**3 + 522*r**4 + 22*r**3.
-4*r*(r - 13)*(r - 2)*(r + 1)
Let o be (16/20)/(4/30). Let d(i) = -i**3 - 17*i**2 - 5*i - 70. Let b be d(-17). Determine a, given that 6*a + b*a**2 - 13*a**2 + o*a = 0.
-6, 0
Suppose -553 + 2269 = 924*o - 1056. Suppose 1/3*t**4 + t**2 + 0 + 1/3*t + t**o = 0. Calculate t.
-1, 0
Let p = -1771 + 1775. Let h(n) be the first derivative of -8*n + 20 + 10*n**2 - 14/3*n**3 + 3/4*n**p. Let h(d) = 0. What is d?
2/3, 2
Let -1/3 - 19740*n**2 - 422/3*n + 934407*n**4 - 914526*n**3 = 0. Calculate n.
-1/141, 1
Let y(v) be the third derivative of -2*v + 0 - 1/120*v**6 + 1/2*v**3 + 1/60*v**5 + 5/24*v**4 + 3*v**2. Factor y(s).
-(s - 3)*(s + 1)**2
Let u(a) = -241*a - 482. Let y be u(-2). Let d(p) be the second derivative of y - 18*p**2 - 2*p + 2*p**3 - 1/12*p**4. Suppose d(z) = 0. Calculate z.
6
Let k = 1435 - 1421. Let r(j) be the third derivative of 0*j**3 - k*j**2 + 1/90*j**5 + 0*j + 5/36*j**4 + 0. Solve r(w) = 0.
-5, 0
Let b be ((-4134)/195 - -46) + -23. Suppose b*c**4 + 0 - 9/5*c**2 + 3/5*c**3 - 3/5*c = 0. Calculate c.
-1, -1/3, 0, 1
Let b(d) = -4*d**4 - 2*d**3 + 2*d - 2. Let l(v) = 9*v**4 + 4*v**3 + v**2 - 4*v + 5. Let r = 163 + -168. Let i(s) = r*b(s) - 2*l(s). Factor i(f).
2*f*(f - 1)*(f + 1)**2
Let q be 32/(-416) - (-276)/39 - (3 + 1). Find b, given that 9/4*b**q + 3/8*b**4 - 27/2 + 15/8*b**2 - 9*b = 0.
-3, -2, 2
Let z(x) be the first derivative of -x**6/6 + 42*x**5/5 - 441*x**4/4 - 2441. Let z(p) = 0. What is p?
0, 21
Suppose -90 - 34 = -i. Let x = i - 80. What is q in -8*q**2 - 4*q**2 + 48*q + 10*q**2 - x*q**2 + 54*q**4 - 88*q**3 - 8 + 40*q**5 = 0?
-2, -1, 1/4, 2/5, 1
Let y(z) be the second derivative of -3*z**5/160 + 9*z**4/4 - 1365*z**3/16 + 3675*z**2/8 + 2748*z. Factor y(o).
-3*(o - 35)**2*(o - 2)/8
Let -30*y**2 + 240*y - 640 + 5/4*y**3 = 0. Calculate y.
8
Let s(u) be the first derivative of -3/2*u - 3/20*u**5 + 3/1