+ 21*w - 252. Let p(b) = 0. Calculate b.
-2, 14
Let u(i) be the second derivative of 5*i**4/72 + 15*i**3/4 + 190*i**2/3 - 194*i. Solve u(x) = 0 for x.
-19, -8
Let x(t) = -29*t - 2137. Let v be x(-74). Factor -v*k - 81/2 - 1/2*k**2.
-(k + 9)**2/2
Let v(m) = -187*m + 376. Let g be v(2). Factor -2/7*c**4 + 0 + 0*c - 2/7*c**g - 4/7*c**3.
-2*c**2*(c + 1)**2/7
Let k = -45 - -48. Factor k*a**2 + 0 + 9*a + 1 - 16 - 15.
3*(a - 2)*(a + 5)
Suppose 4*v - 9*v - 360 = 0. Let k be v/(-81) - (-4)/(-18). Determine a, given that -2/3*a + k*a**2 + 0 = 0.
0, 1
Let u(f) = 3*f**3 + 60*f**2 + 107*f + 50. Let c(n) = 20*n**3 + 420*n**2 + 750*n + 350. Let r(s) = -2*c(s) + 15*u(s). Find w such that r(w) = 0.
-10, -1
Suppose -2*j = 2 + 8. Let p(a) = a. Let l(d) = -d**3. Let s(c) = j*l(c) - 5*p(c). Let s(q) = 0. Calculate q.
-1, 0, 1
Let t(k) be the third derivative of k**7/280 + k**6/48 - k**5/20 - 5*k**4/24 + 2*k**2. Let c(a) be the second derivative of t(a). Factor c(g).
3*(g + 2)*(3*g - 1)
Let u(g) be the second derivative of -5*g**7/42 - 5*g**6/6 - 9*g**5/4 - 35*g**4/12 - 5*g**3/3 + 3*g - 1. Factor u(j).
-5*j*(j + 1)**3*(j + 2)
Determine f so that 37*f**3 - 17*f**3 + 0*f - 7*f - 21*f**3 + 11*f + 16 - 4*f**2 = 0.
-4, -2, 2
Let f = 28 + -18. Suppose -5*c + f = q, -c = -q - 2*q - 18. Solve -1/3*p**2 + 0*p + 1/3*p**c + 0 = 0.
0, 1
Factor 0*a**2 + 0 - 9/2*a**3 + 3/4*a**5 + 0*a - 3/4*a**4.
3*a**3*(a - 3)*(a + 2)/4
Let c(l) be the second derivative of -l**4/42 - 22*l**3/21 + 23*l**2/7 + 55*l. Factor c(f).
-2*(f - 1)*(f + 23)/7
Let r = 2865 + -20043/7. Factor 12/7*m + 3/7*m**2 + r.
3*(m + 2)**2/7
Let d = 59 - 44. Factor 29*q**3 + 2 - q**2 + d*q**2 - 69*q**3 - 10*q + 34*q**3.
-2*(q - 1)**2*(3*q - 1)
Let g(q) be the third derivative of -q**5/80 + 63*q**4/16 - 3969*q**3/8 + 125*q**2. Factor g(o).
-3*(o - 63)**2/4
Let g(y) be the third derivative of y**9/211680 + y**8/70560 - y**7/8820 - 3*y**5/20 + 8*y**2. Let o(t) be the third derivative of g(t). Factor o(v).
2*v*(v - 1)*(v + 2)/7
Let r(o) be the first derivative of -27/2*o**2 - 6*o - 12 - 4*o**3. Factor r(p).
-3*(p + 2)*(4*p + 1)
Suppose -3*q = -5*c + 354, -3*c = -5*c + q + 142. Determine t, given that -9*t**4 - 100*t**2 + 54*t**3 + c*t - 103 - 3*t**4 + 87 + 2*t**4 = 0.
2/5, 1, 2
Let m = 3/1498 - -743/2996. Determine z, given that -3 + z + m*z**2 = 0.
-6, 2
Let d(u) be the third derivative of -u**7/945 - u**6/135 - u**5/54 - u**4/54 + 113*u**2. Factor d(t).
-2*t*(t + 1)**2*(t + 2)/9
Let o(s) be the first derivative of 3*s**4/14 + 52*s**3/21 + 16*s**2/7 - 541. Factor o(r).
2*r*(r + 8)*(3*r + 2)/7
Let f be ((-32)/(-40))/(4/10). Determine c, given that -1 - 1 - 626*c**2 + 628*c**f = 0.
-1, 1
Suppose -3*z = -2*c - 22, 2*z - 5*c = -z + 37. Let f(y) be the first derivative of 0*y**3 + 2/7*y**2 - 1/7*y**z + 2/7*y - 4 - 2/35*y**5. Factor f(w).
-2*(w - 1)*(w + 1)**3/7
Solve 0 - 10/13*d**3 + 16/13*d**2 - 2/13*d**4 + 24/13*d = 0 for d.
-6, -1, 0, 2
Let k(v) be the third derivative of v**7/5040 - v**6/720 + v**5/240 + 11*v**4/24 - 5*v**2. Let t(r) be the second derivative of k(r). What is s in t(s) = 0?
1
Let u(c) be the first derivative of -c**4/30 + 2*c**3/9 + 8*c**2/15 - 32*c/5 - 26. Determine t so that u(t) = 0.
-3, 4
Factor u**2 - 17514 + 17564 + 5*u + 10*u.
(u + 5)*(u + 10)
Let n(x) = 88*x**2 - 76*x - 8. Let b(j) = -87*j**2 + 77*j + 7. Let o(d) = 4*b(d) + 3*n(d). Factor o(s).
-4*(s - 1)*(21*s + 1)
Let x(h) be the second derivative of -h**7/3360 - h**6/60 - 2*h**5/5 - 16*h**4/3 - 23*h**3/6 + 6*h. Let w(s) be the second derivative of x(s). Factor w(p).
-(p + 8)**3/4
Let s be 3/(-18)*4/(-2) + 132/36. Factor 4/5*a**3 + 0*a + 0 + 0*a**2 + 6/5*a**s + 2/5*a**5.
2*a**3*(a + 1)*(a + 2)/5
Let g(z) be the third derivative of z**6/210 + z**5/105 - z**4/3 - 16*z**3/7 + z**2 + 651. Factor g(j).
4*(j - 4)*(j + 2)*(j + 3)/7
Let b(a) be the first derivative of 2*a**3/15 - 21*a**2/5 + 160. Factor b(o).
2*o*(o - 21)/5
Let m(j) = -8*j**3 - 3*j**2 + j - 5. Let v(u) = -3*u**3 - u**2 - 2. Let c(w) = 2*m(w) - 5*v(w). Factor c(k).
-k*(k - 1)*(k + 2)
Suppose -z = 3*y - 0*y + 104, z + y = -100. Let i = z + 98. Determine a, given that 8/3*a**2 - 4/3*a**3 + 0 - 14*a**4 + i*a + 15*a**5 = 0.
-2/5, 0, 2/3
Let l = 68 - 56. Let j be l/(-42) - 2/(-7). Determine b, given that -1/3*b**3 + 1/3*b**2 + j + 2/3*b = 0.
-1, 0, 2
Let k(c) be the second derivative of -8/15*c**3 + 7*c + 0 - 49/75*c**6 + 0*c**2 - 2*c**4 - 63/25*c**5. Factor k(x).
-2*x*(x + 2)*(7*x + 2)**2/5
Solve -72/5 - 2/5*q**5 + 14/5*q**4 - 22*q**2 + 2/5*q**3 + 168/5*q = 0 for q.
-3, 1, 2, 6
Let z(n) be the first derivative of n**3/15 + n**2/5 - 3*n/5 - 322. Factor z(r).
(r - 1)*(r + 3)/5
Let r be -18 - -21 - (2 + 8/(-6)). Let p(g) be the second derivative of 16/15*g**6 + 0 + g**2 + 4/21*g**7 + 19/6*g**4 + 4*g + 5/2*g**5 + r*g**3. Factor p(l).
2*(l + 1)**3*(2*l + 1)**2
Suppose 2*y - 2*d = 6 - 16, 2*d = 4. Let s be y/6*2*-6. Factor -39*w**3 + 0*w**4 + 180*w**2 - 3*w**4 - 336*w + 192 + s*w**4.
3*(w - 4)**3*(w - 1)
Suppose 3*w**2 - 592 - 6*w**2 + 619 = 0. What is w?
-3, 3
Let w(f) be the second derivative of 1/36*f**4 + 0*f**2 + 0 + 1/120*f**5 + 1/36*f**3 + 12*f. Determine j so that w(j) = 0.
-1, 0
Let p be ((-12)/81)/(19/(-57)). Factor 2/3*r + p + 2/9*r**2.
2*(r + 1)*(r + 2)/9
Let n(u) be the first derivative of 14*u**2 + 24*u + 4/3*u**3 - 18. Factor n(k).
4*(k + 1)*(k + 6)
Suppose 2*o = -4*y - 8, 4*y - 3*y + 2 = -3*o. Suppose o = -0*j + 2*j - 2. Determine u, given that -4*u**4 + 6*u - j + 0*u**4 + 7*u**4 - 6*u**3 - 2 = 0.
-1, 1
Suppose -4*a - 332 = 4*r, -a - 7 + 8 = 0. Let g = 505/6 + r. Factor g*v**2 + 0 - 1/2*v.
v*(v - 3)/6
Suppose -g - 11*g - 6*g = 0. Let n(z) be the second derivative of 1/80*z**5 + g*z**2 + 0 + 1/48*z**4 + 0*z**3 + z. Factor n(u).
u**2*(u + 1)/4
Let q(f) be the first derivative of 21*f**6/4 - 417*f**5/20 + 519*f**4/16 - 99*f**3/4 + 75*f**2/8 - 3*f/2 - 33. Find h such that q(h) = 0.
1/7, 1/2, 2/3, 1
Let d(x) = -4*x - 46. Let k be d(-16). Find s such that k*s**2 + 12*s - 12*s + 3*s**3 = 0.
-6, 0
Let z(r) = 104*r - 100. Let g be z(1). Factor -14/3*b**3 - 4/3*b**2 + 0*b - 10/3*b**g + 0.
-2*b**2*(b + 1)*(5*b + 2)/3
Let l be 8/(-12)*1233/(-6). Let u = -135 + l. Suppose -3*g + 3/2*g**2 + u - 1/4*g**3 = 0. Calculate g.
2
Let q(c) be the third derivative of -5*c**8/1344 + 2*c**7/15 + 19*c**6/120 - 79*c**5/120 - 71*c**4/96 + 23*c**3/12 - 470*c**2. Suppose q(p) = 0. What is p?
-1, 2/5, 1, 23
Let d(g) be the first derivative of 4*g**5/35 - 3*g**4/28 - 5*g**3/21 + 3*g**2/14 + g/7 - 64. What is v in d(v) = 0?
-1, -1/4, 1
Let w be (-270)/(-60)*(-16)/6. Let o be (-6)/w*(18/10 + -1). Factor 2/5*k**3 - 2/5*k + o - 2/5*k**2.
2*(k - 1)**2*(k + 1)/5
Let z(u) be the second derivative of -23/12*u**4 + 0 - 3/20*u**5 + 7/2*u**2 - 13/6*u**3 + 47*u. Let z(a) = 0. Calculate a.
-7, -1, 1/3
Suppose -k = -a - 2 + 4, 5*a + 8 = 2*k. Let r(p) = 6*p + 36. Let h be r(k). Factor 2/5*g**2 + h*g + 0.
2*g**2/5
Find r, given that -6*r + 57*r**4 - 34*r**4 + 120*r**2 - 35*r**4 - 46*r**3 - 58*r + 2*r**5 = 0.
-4, 0, 1, 8
Let q(h) be the second derivative of -h**7/840 + 7*h**6/1800 + h**5/75 - h**4/30 + 2*h**3 + 6*h. Let o(j) be the second derivative of q(j). Solve o(n) = 0.
-1, 2/5, 2
Let l(s) = 6*s**2 + 22*s**2 - 39*s + 11*s**2. Let g(d) = 3*d**2 - 3*d. Let b(v) = -27*g(v) + 2*l(v). Factor b(w).
-3*w*(w - 1)
Let l(w) be the second derivative of w**6/75 - w**5/10 + 7*w**4/30 - w**3/5 - 638*w. Factor l(p).
2*p*(p - 3)*(p - 1)**2/5
Let d = 8678/7 - 34649/28. Factor 3/8*j**2 + d*j + 15/8.
3*(j + 1)*(j + 5)/8
Suppose 2*k - 5*f = 219, -576 = -3*k - 2*k + 3*f. Determine o so that 46*o - 60 + 2*o**4 + 51*o**3 + k*o**2 + 2*o + 4*o**4 = 0.
-5, -2, 1/2
Let t = -3520 + 3520. Factor 0 + 1/2*q**4 + 0*q + t*q**2 + 1/2*q**3.
q**3*(q + 1)/2
Let t(b) be the second derivative of b**6/30 - 13*b**5/20 + 7*b**4/12 + 19*b**3/2 + 18*b**2 + 398*b. Solve t(n) = 0.
-1, 3, 12
Let f = 104 - 94. Suppose 3*t - f*t - 10*t = 0. What is b in 4/3*b + t - 2/3*b**2 = 0?
0, 2
Factor 1352/7 + 2/7*p**2 - 104/7*p.
2*(p - 26)**2/7
Let a = -80 - -84. Suppose k + 0*k**2 - 4*k**2 + 7*k - a + 0*k = 0. What is k?
1
Suppose -73*q - 28*q + 186 = -8*q. Factor 338/3 - 50/3*j**q + 286/3*j + 2/3*j**3.
2*(j - 13)**2*(j + 1)/3
Let k(p) be the second derivative of -p**7/168 + 3*p**