r y(o).
-2*(o - 66)*(o + 8)/5
Let v(q) = 5*q**2 - 2225*q + 2228. Let w be v(1). Solve w + 20/3*t**2 - 2/3*t**3 + 46/3*t = 0 for t.
-1, 12
Suppose 2*h = i - 5, -114*h - 25 = -5*i - 109*h. Let -5 + 14*s**3 - 11/3*s**4 + 53/3*s - 70/3*s**2 + 1/3*s**i = 0. Calculate s.
1, 3, 5
Let i be (-33)/(-6) + 42/(-28). Factor -6*v**2 + 3*v**i + 0*v**2 + 33*v**3 + 60*v**2.
3*v**2*(v + 2)*(v + 9)
Let w be 6/(-21) - 6*2589/21. Let d = w + 740. Find s such that -3/4*s**4 - 1 + d*s + 9/4*s**2 + 1/2*s**3 = 0.
-1, 2/3, 2
Let t = 1633 + -1617. Let h be -6 + 168/32 - (-44)/t. Factor 0 + 1/6*m**4 - 1/6*m**h - 1/3*m**3 + 1/3*m.
m*(m - 2)*(m - 1)*(m + 1)/6
Let r(i) be the second derivative of -i**4/3 + 2948*i**3/3 - 1086338*i**2 - 5315*i. Determine b, given that r(b) = 0.
737
Let f(r) be the third derivative of -1024/15*r**3 + 0*r - 1/150*r**5 - 16/15*r**4 - 2 - 28*r**2. Factor f(a).
-2*(a + 32)**2/5
Let u(b) = -b**2 + 50*b + 39. Let c(f) = 44*f + 40. Let z = -61 - -60. Let y(m) = m. Let j(r) = z*c(r) - 6*y(r). Let x(t) = 6*j(t) + 5*u(t). Factor x(s).
-5*(s + 1)*(s + 9)
Suppose 0 = 7*a - 10*a + 1458. Let l = 489 - a. Suppose 9/2*y - l*y**2 - 3/2*y**3 + 0 = 0. Calculate y.
-3, 0, 1
Let x be (-5)/1*(-13)/(-39)*-3. Find s such that 4*s**2 + 0*s**2 - 85*s**4 + 81*s**4 + 8*s - 12*s**3 + 3*s**5 + s**x = 0.
-1, 0, 1, 2
Let l(v) be the third derivative of v**8/1176 + 3*v**7/245 + 17*v**6/420 - 3*v**5/70 - 3*v**4/14 - 4*v**2 + 192. Determine q, given that l(q) = 0.
-6, -3, -1, 0, 1
Let v(q) be the first derivative of -16*q**4/5 - 2144*q**3/15 + 542*q**2/5 - 136*q/5 - 6159. Solve v(g) = 0.
-34, 1/4
Let h = -1156 - -662. Let n = h - -1490/3. Determine k, given that 8*k + 26/3*k**2 + 4*k**3 + 2/3*k**4 + n = 0.
-2, -1
Let o = 139663 - 139661. Find c, given that 2*c**o - 10/3 + 1/3*c**3 + c = 0.
-5, -2, 1
Let g(q) = 2*q - 51 + 156 - 53 - 52. Let r(v) = -3*v**2 - 9*v. Let w(h) = 3*g(h) - r(h). Factor w(f).
3*f*(f + 5)
Solve -2387*p - 3261*p**2 - 2532*p - 3*p**3 - 1591*p = 0 for p.
-1085, -2, 0
Let x(q) be the first derivative of q**3/3 - 1528*q**2 + 2334784*q - 4787. Find n, given that x(n) = 0.
1528
Suppose 5*s = 21 - 206. Let n = -33 - s. Suppose -4*g**5 + 4*g**3 + 20*g**2 - 132*g + 132*g - 20*g**n = 0. Calculate g.
-5, -1, 0, 1
Let y = -4063/592 + 358/37. Let m(q) be the third derivative of y*q**6 - 13/4*q**5 + 0*q - 1/4*q**4 - 20*q**2 + 0 + 2*q**3. What is j in m(j) = 0?
-2/9, 2/5
Let a be ((-1080)/(-360))/((-295)/(-70) + (-2)/(-7)). Factor -16 - 4/3*i + a*i**3 + 10/3*i**2.
2*(i - 2)*(i + 3)*(i + 4)/3
Let g(s) = s - 4. Let z(j) = 1. Let t(a) = g(a) + 2*z(a). Let b be t(5). Factor 10*h - b*h**2 + 4*h - 12*h**2 - 4*h + 5*h**3.
5*h*(h - 2)*(h - 1)
Let y(m) be the second derivative of -39*m**5/160 + 127*m**4/4 - 19929*m**3/16 + 4563*m**2/8 - 220*m. Factor y(q).
-3*(q - 39)**2*(13*q - 2)/8
Let f(b) be the second derivative of -b**4/12 - 31*b**3/6 - 75*b**2 + 640*b. Let i be f(-6). Factor -1/5*r + 3/5*r**3 + 2/5*r**4 + 0*r**2 + i.
r*(r + 1)**2*(2*r - 1)/5
Suppose -6 - 20 = -b. Suppose -b = -8*m - 5*m. Factor -7*h**2 + 5*h**m - 5*h**3 + 7*h**2.
-5*h**2*(h - 1)
Let f = 46 + -42. Find v such that -3136 - f*v**4 + 128*v**3 - 1286*v - 1333*v**2 + 4870*v + 85*v**2 = 0.
2, 14
Let g(l) be the first derivative of -l**3 - 31*l**2/2 + 22*l - 605. Suppose g(s) = 0. What is s?
-11, 2/3
Let f = 57856 - 57853. Determine s, given that 4/7*s**f + 0 - 1/7*s**5 + 0*s + 2/7*s**4 - 8/7*s**2 = 0.
-2, 0, 2
Let i(n) = n**3 - 6*n**2 + 2*n + 2. Let d be i(6). Suppose -d*o + 268 = -10*o. Factor 47*s**2 - o*s**2 - 8*s + 40*s - 16 + 4*s**3.
4*(s - 2)**2*(s - 1)
Let 0 - 504/13*z**3 + 80*z**2 + 76/13*z**4 + 2/13*z**5 - 704/13*z = 0. Calculate z.
-44, 0, 2
Let y(u) be the third derivative of u**8/30240 + u**7/2520 - u**6/270 + 17*u**5/30 - 6*u**2 + 1. Let g(f) be the third derivative of y(f). Factor g(b).
2*(b - 1)*(b + 4)/3
Let p be 2/8 - 1/12*-21. Let a(w) be the third derivative of 0 - 4/21*w**3 - 11/210*w**5 + 2/7*w**4 + 0*w + 8*w**p. Factor a(b).
-2*(b - 2)*(11*b - 2)/7
Let l(g) = -5*g**2 + 2437*g + 2428. Let d(u) = 33*u**2 - 14626*u - 14568. Let b(t) = -2*d(t) - 13*l(t). Determine a, given that b(a) = 0.
-2428, -1
Let u be (35/(-21) - 0)/(2/(-6)). Suppose 0*g + 5*g + 35 = u*q, -26 = -3*q + 4*g. Factor 0*t**4 - 4/3*t**3 + 0*t**q + 2/3*t**5 + 0 + 2/3*t.
2*t*(t - 1)**2*(t + 1)**2/3
Let n(w) be the second derivative of 2*w**7/21 - 64*w**6/15 + 218*w**5/5 + 680*w**4/3 - 578*w**3 + 2*w - 801. Let n(o) = 0. What is o?
-3, 0, 1, 17
Let z = 382027 + -4202105/11. What is l in -2*l**4 - 194/11*l**2 - 94/11*l**3 - 2/11*l**5 - z*l - 72/11 = 0?
-3, -2, -1
Let c = -33832/3 + 11278. Factor 16/3 + 20/3*u**2 - c*u**3 - 34/3*u.
-2*(u - 8)*(u - 1)**2/3
Let s(p) be the second derivative of 2*p**7/21 + 218*p**6/15 + 318*p**5/5 + 7*p - 18. Let s(f) = 0. Calculate f.
-106, -3, 0
Determine f, given that -f**2 + 4*f**2 + 618782 - 618800 + 15*f = 0.
-6, 1
Let g(o) be the first derivative of -o**5/20 + o**4/2 - o**3/2 - 5*o**2 - 25*o/4 + 124. Factor g(c).
-(c - 5)**2*(c + 1)**2/4
Suppose 0 = -2*w - 5*h - 8 + 35, 5*w = -3*h + 96. Let q be 616/132*((-72)/w)/(-4). Factor -2/5*y**2 + 0 + 0*y - 18/5*y**5 - 6/5*y**q + 2*y**3.
-2*y**2*(y + 1)*(3*y - 1)**2/5
Let d(f) be the third derivative of -f**6/420 + f**5/14 - 9*f**4/14 + 40*f**3/21 - 349*f**2 + 3. Suppose d(t) = 0. What is t?
1, 4, 10
Let p be (18/21)/((-10)/(-35)). Let s(k) = k**2 + 2*k - 13. Let d be s(p). Suppose 2/7*v + 0 + 2/7*v**d = 0. Calculate v.
-1, 0
Let n(b) be the second derivative of b**5/100 - 27*b**4/20 + 8*b**3/3 + 2763*b. Factor n(g).
g*(g - 80)*(g - 1)/5
Factor 3/2 - 1/2*d**2 + d.
-(d - 3)*(d + 1)/2
Let p = 3251078/20735 - -34/4147. Let -p - 1/5*x**2 - 56/5*x = 0. What is x?
-28
Let o(h) be the third derivative of -h**6/120 - 307*h**5/4 - 2356225*h**4/8 - 3616805375*h**3/6 - h**2 - 5343*h. Factor o(p).
-(p + 1535)**3
Let g(q) be the second derivative of q**7/70 + q**6/40 - q**5/40 + 17*q**3/3 - q - 2. Let p(l) be the second derivative of g(l). Let p(m) = 0. Calculate m.
-1, 0, 1/4
Let l(d) be the third derivative of -2*d**7/105 + 61*d**6/30 - 80*d**5 + 1248*d**4 + 3*d**2 + 56*d - 2. Factor l(h).
-4*h*(h - 24)**2*(h - 13)
Suppose 6*o + 53 + 43 = 0. Let m = o - -18. Factor -y**m + 6 + 2*y**2 + 9*y + 2*y**2.
3*(y + 1)*(y + 2)
Let g(k) be the first derivative of 2*k**5/25 + 104*k**4/5 + 320*k**3 + 9472*k**2/5 + 25088*k/5 - 7391. Find h, given that g(h) = 0.
-196, -4
Suppose 6*s = -5*j + 32, 10 = -7*j + 8*j + 3*s. Let a be (-9)/(-6)*(-1)/(-3). What is y in a*y**3 - 1/2*y**2 - 1/2*y + 0 + 1/2*y**j = 0?
-1, 0, 1
Let p(m) = 5*m**3 - 5*m**2. Let l(b) be the first derivative of 5/3*b**3 - 11 - 5/4*b**4 + 0*b**2 + 0*b. Let f(d) = -5*l(d) - 6*p(d). What is i in f(i) = 0?
0, 1
Solve -1048/3*a - 232/3 - 6*a**2 = 0 for a.
-58, -2/9
Let l be -19*(-230)/(-1748) + (-2)/((-4)/6). Determine k so that l + 1/2*k - 9/2*k**2 - 9/2*k**3 = 0.
-1, -1/3, 1/3
Let c(s) be the second derivative of 0 + 1/90*s**5 - 2*s - 5/2*s**2 + 1/18*s**4 + 0*s**3. Let q(r) be the first derivative of c(r). Factor q(x).
2*x*(x + 2)/3
Let y(c) be the second derivative of -c**7/490 + 3*c**6/280 - c**5/70 - 19*c**2 - c - 37. Let b(n) be the first derivative of y(n). Suppose b(q) = 0. What is q?
0, 1, 2
Let y = -36 + 40. Suppose -5*r = -3*b - 6, y*b - 6*r = -5*r + 9. Find l, given that 426*l - 9*l**2 - 432*l - 4*l**b + l**3 = 0.
-2, -1, 0
Find r such that 171*r**2 + 245*r**3 - 9*r**2 - r**4 - 648*r**2 = 0.
0, 2, 243
Let a = -1239 - -449. Let v = a + 795. Determine r so that -32/9*r**4 - 2/3 + 22/9*r**2 + 2*r**3 + 8/9*r**v - 10/9*r = 0.
-1/2, 1, 3
Let w(g) = 51*g**2 - 130*g - 836. Let i(r) = 88*r**2 - 260*r - 1673. Let s(f) = -4*i(f) + 7*w(f). Factor s(z).
5*(z + 12)*(z + 14)
Let u be 4/(-5) + -4 + (51 - 45). Find y, given that u*y**2 + 8/5 + 8/3*y + 2/15*y**3 = 0.
-6, -2, -1
Let s(j) = -18*j**5 - 6*j**4 + 30*j**3 - 12*j**2 - 3*j. Let t(w) = -w**5 - w**4 + w**3 - w**2 + w. Let v(a) = -s(a) + 9*t(a). Solve v(p) = 0 for p.
-1, 0, 1, 4/3
Suppose 134*z + 364*z = 192*z - 1717*z - 1113*z. Factor z - 31/6*b**2 - 1/6*b**3 + 0*b.
-b**2*(b + 31)/6
Let a(f) = 37*f**5 - f**4 + 79*f**3 + 67*f**2 - 17. Let j(w) = -13*w**5 + w**4 - 26*w**3 - 22*w**2 + 6. Let t(u) = -6*a(u) - 17*j(u). Factor t(q).
-q**2*(q + 2)**2*(q + 7)
Let w(m) be th