n that 408*l**2 - l**3 - 7*l**q + 4*l**3 + 239881 - 5437*l - 8435*l - 82665 = 0.
34
Suppose 2*w - 7*w = 0. Let o be ((-5 - 3) + 13)/(1 + w). Factor -2*z**4 - 3*z**o - 4*z**4 + 81*z + 6*z**3 + 24*z**2 + 6 - 60*z.
-3*(z - 2)*(z + 1)**4
Let h(u) be the second derivative of 9*u**5/20 + 35*u**4/4 - 3*u**3/2 - 105*u**2/2 + 3521*u. Suppose h(w) = 0. Calculate w.
-35/3, -1, 1
Suppose -416 = 16*v - 24*v. Find a such that 28 + 20 - 62*a**2 + v*a + 66*a**2 = 0.
-12, -1
Let a(q) be the second derivative of q**8/1008 - q**7/70 + q**6/24 - 7*q**5/180 + 9*q**2/2 - 39*q. Let c(k) be the first derivative of a(k). Solve c(v) = 0.
0, 1, 7
Let r = 10506 - 40831/4. Let p = r + -298. Determine q so that -p*q**2 - 3/4 - 1/4*q**3 + 5/4*q = 0.
-3, 1
Let q(k) be the second derivative of 7/270*k**5 - 32*k + 5/108*k**4 + 0 - 2*k**2 - 2/27*k**3. Let a(u) be the first derivative of q(u). Factor a(y).
2*(y + 1)*(7*y - 2)/9
Let d(u) be the third derivative of u**7/525 - 13*u**6/300 + 19*u**5/50 - 19*u**4/12 + 10*u**3/3 - 2*u**2 - 393*u. Suppose d(a) = 0. Calculate a.
1, 2, 5
Let c(w) be the second derivative of -9*w**5/40 + 49*w**4/8 + 35*w**3/4 - 51*w**2/4 - 332*w + 1. Suppose c(z) = 0. Calculate z.
-1, 1/3, 17
Let g(p) be the third derivative of -p**7/350 - 137*p**6/600 - 47*p**5/30 - 83*p**4/30 + 28*p**3/5 + 41*p**2 - 14*p. Determine d, given that g(d) = 0.
-42, -2, 1/3
Suppose 33*h - 610*h + 535 = -1773. Let -2/3*c + 0 + c**2 + 2/3*c**3 - c**h = 0. What is c?
-1, 0, 2/3, 1
Let j = -20720 - -145056/7. Let i(n) be the second derivative of -j*n**2 - 10/21*n**4 + 27*n + 34/21*n**3 + 0 + 1/35*n**5. Factor i(f).
4*(f - 8)*(f - 1)**2/7
Factor -52/3*c - 50/3 - 2/3*c**2.
-2*(c + 1)*(c + 25)/3
Let h(z) = -1585*z**3 + 955*z**2 - 1260*z - 6425. Let p(d) = 173*d**3 - 106*d**2 + 140*d + 714. Let q(k) = -6*h(k) - 55*p(k). Determine w, given that q(w) = 0.
-2, 4, 18
Let k(d) be the third derivative of -d**6/1260 - d**5/210 - d**4/84 - 67*d**3/6 - 4*d**2 + 14. Let m(n) be the first derivative of k(n). Factor m(u).
-2*(u + 1)**2/7
Let s be (1 + 0)*3/(-3) + 4. Factor -226*i + 20*i**2 + 5*i**s + 226*i.
5*i**2*(i + 4)
Let d(w) = -7*w**2 - 23*w + 21. Let m(i) = 5*i**2 + 5*i + 12. Let u(t) = -2*t**2 - 2*t - 5. Let s(x) = 3*m(x) + 7*u(x). Let h(n) = -d(n) - 3*s(n). Factor h(v).
4*(v - 1)*(v + 6)
Factor 314*q**2 - 9 + 279*q + 12*q**3 + 11*q**3 - 11 - 14*q**3 + 6*q**3.
(q + 1)*(q + 20)*(15*q - 1)
Let i be (-8)/14*((-22)/(-156) + (-591)/2561). Let m(g) be the first derivative of 0*g**2 + 0*g + 6/65*g**5 + i*g**3 + 3/26*g**4 + 1/39*g**6 + 6. Factor m(q).
2*q**2*(q + 1)**3/13
Suppose -249/7*n**3 + 3/7*n**4 + 16125/7*n + 4779/7*n**2 + 11094/7 = 0. What is n?
-2, -1, 43
Let g(c) be the second derivative of c**7/210 - 16*c**6/75 + 49*c**5/25 + 131*c**4/30 - 197*c**3/30 - 23*c**2 + 3876*c. Find o, given that g(o) = 0.
-1, 1, 10, 23
Let l(d) = 5*d**3 - 35 + 7*d + 15*d**2 + 28 - 2*d + 2*d**2. Let m(b) = -2*b**3 - 8*b**2 - 3*b + 3. Let s(u) = -3*l(u) - 7*m(u). Suppose s(h) = 0. What is h?
-1, 0, 6
Suppose -6*x - 328 = -364. Suppose 4*l - 3*u - 18 - x = 0, -l = -5*u + 11. Factor -15/2*n + 3/2 - l*n**2.
-3*(n + 1)*(6*n - 1)/2
Let k(p) be the third derivative of -p**8/224 - 47*p**7/105 - 81*p**6/40 - 3*p**5 + p**4/48 + 5*p**3 - 8105*p**2. Solve k(j) = 0 for j.
-60, -1, 1/3
Let y(s) = -s**3 - 24*s**2 - 28*s - 56. Let z be y(-23). Suppose -29 = -5*x - 14. Factor -9 + 56*k**2 - 109*k**2 + x*k + z*k**2.
3*(k - 1)*(2*k + 3)
Factor 111/4*f**2 - 109/2*f - 12 + 5/4*f**3.
(f - 2)*(f + 24)*(5*f + 1)/4
Let k(g) be the second derivative of g**4/12 + 13*g**3/2 + 154*g**2 - 1398*g. Find p, given that k(p) = 0.
-28, -11
Let t(i) be the first derivative of -i**4/2 - 6*i**3 + 97*i**2 + 210*i + 8471. Factor t(l).
-2*(l - 7)*(l + 1)*(l + 15)
Let y(r) = r**2 + 8*r - 16. Let v be y(2). Let m(x) = -8 + 2*x + v*x**2 - 3*x + 19. Let w(q) = q**2 + 3. Let p(g) = -6*m(g) + 22*w(g). Factor p(i).
-2*i*(i - 3)
Let r(k) = 2*k**2 + 15*k - 50. Let q be r(-10). Let w(f) be the first derivative of -1 - 9/2*f**2 + q*f + 9/4*f**4 + 3*f**5 - 5*f**3. Let w(y) = 0. What is y?
-1, -3/5, 0, 1
Let p = -160406 - -160408. Factor -3 + 9/2*y**p + 9/2*y - 3*y**3.
-3*(y - 2)*(y + 1)*(2*y - 1)/2
Find t, given that -20 + 32/3*t**2 - 26/3*t - 2/3*t**3 = 0.
-1, 2, 15
Let x(o) be the second derivative of o**7/231 + 2*o**6/55 - o**5/11 - 10*o**4/11 + 3*o**3/11 + 54*o**2/11 + 427*o. Suppose x(w) = 0. Calculate w.
-6, -3, -1, 1, 3
Solve 2065/2*k - 375*k**3 - 35*k**4 - 735 + 110*k**2 + 5/2*k**5 = 0 for k.
-7, -2, 1, 21
Let d(w) be the first derivative of 8*w**3 - 39/2*w**2 - 18*w - 32. Factor d(u).
3*(u - 2)*(8*u + 3)
Let d(b) be the second derivative of -2 + 5*b - 1/5*b**5 - 2*b**2 + 2/3*b**3 + 1/3*b**4. Find q such that d(q) = 0.
-1, 1
Let k be (57/(-342))/(6/(-54)). Determine s so that 27/4*s**2 - 3/4*s**4 - 6 + 3/2*s - k*s**3 = 0.
-4, -1, 1, 2
Suppose 978*m + 6070 + 1579*m - 5*m**2 - 5582*m = 0. What is m?
-607, 2
Let l(k) be the third derivative of -k**7/630 + k**6/180 - 3*k**4/4 + k**3/6 + 37*k**2 - 1. Let u(i) be the second derivative of l(i). Solve u(j) = 0.
0, 1
Suppose 0 = 665*i - 603*i - 62. Let h(p) be the first derivative of -3/8*p**2 + 3/16*p**4 + 1/2*p**3 - 3/2*p + i. Factor h(x).
3*(x - 1)*(x + 1)*(x + 2)/4
Let f(l) = 29*l**3 + 298*l**2 + 309*l + 6. Let d(k) = -412*k**3 - 4172*k**2 - 4325*k - 86. Let t(x) = -12*d(x) - 172*f(x). Factor t(o).
-4*o*(o + 26)*(11*o + 12)
Let i(t) be the first derivative of -2*t**3/15 + 1732*t**2/5 - 1499912*t/5 + 1896. Suppose i(w) = 0. What is w?
866
Let l(p) be the second derivative of -p**5/220 - 7*p**4/22 - 155*p**3/66 - 57*p**2/11 - 8047*p. Factor l(x).
-(x + 1)*(x + 3)*(x + 38)/11
Let x(t) be the first derivative of -t**3/9 - 68*t**2/3 - 45*t + 689. Factor x(s).
-(s + 1)*(s + 135)/3
Let x = 2543 - 987. Let i = -1553 + x. Determine d, given that 1/3 - d - 1/3*d**i + d**2 = 0.
1
What is x in 374/7*x - 2/7*x**3 - 16/7*x**2 + 484 = 0?
-11, 14
Let k(i) = -2*i**3 + 305*i**2 - 371*i - 7. Let l(t) = -t**3 + 97*t**2 - 124*t - 2. Let c(u) = -2*k(u) + 7*l(u). Factor c(z).
-3*z*(z - 21)*(z - 2)
Factor -1/5*k**2 + 1/5*k + 0.
-k*(k - 1)/5
Let k be -2*8/4*1/(-2). Suppose 4*x - 81 = -k*l + 7*l, 2*x - 4*l - 48 = 0. Factor -44 + 3*j + 3*j**2 + 24 + x.
3*(j - 1)*(j + 2)
Let g = 689 - 687. Find f, given that g*f - 2*f + 699*f**2 + 4*f**4 - 701*f**2 - 2*f**3 = 0.
-1/2, 0, 1
Suppose -4*z + 5*b = -121, -5*z - 12*b + 14*b = -147. Factor -2*l**3 + 4*l**2 + 29 - z.
-2*l**2*(l - 2)
Let o(z) = -2*z**2 + 30*z - 35. Let t(i) = i**2 - 15*i + 17. Let y(b) = -6*o(b) - 13*t(b). Let h be y(14). Factor 349*q - 3*q**3 - 349*q + h*q**5.
3*q**3*(q - 1)*(q + 1)
Let m be ((-8)/3 - -2)*3*101. Let h be (-3 - m - 0) + 4. Factor 101*y**2 + 98*y**2 - h*y**2 - 2*y - 2*y**3.
-2*y*(y + 1)**2
Let w(q) be the second derivative of -3*q**5/20 - 4*q**4 + 19*q**3/2 + 51*q**2 - 2597*q. Factor w(z).
-3*(z - 2)*(z + 1)*(z + 17)
Let t(w) = 17*w**3 + 3*w**2 - 102*w + 100. Let c be t(1). Factor -944/9*i**2 - 80*i**3 - c*i**4 - 320/9*i - 32/9.
-2*(i + 2)**2*(9*i + 2)**2/9
Let i(x) be the first derivative of 1/6*x**3 - 3/2*x**2 + 2*x - 45 + 3/16*x**4 - 1/20*x**5. What is o in i(o) = 0?
-2, 1, 2
Let p(f) = -5*f**2 - 2*f - 4. Suppose -2*w - 24 + 32 = 0. Let c = -8 + w. Let b(y) = 9*y**2 + 4*y + 9. Let d(t) = c*b(t) - 9*p(t). Factor d(i).
i*(9*i + 2)
Let c = -7623 - -7626. Let r be (8/238)/((-18)/(-63)). Factor 2/17*w**c - r*w - 6/17*w**2 + 6/17.
2*(w - 3)*(w - 1)*(w + 1)/17
Let a = -320 + 352. Let v = a + -127/4. Factor -3/4 + v*c**3 + 7/4*c - 5/4*c**2.
(c - 3)*(c - 1)**2/4
Suppose 4*h - 20 + 4 = 0, -3*u + 3*h = -6. Let a = u + -23/4. What is k in 3/4*k**2 - 3/4*k - a*k**3 + 1/4 = 0?
1
Let m be ((-2)/6)/((-1)/108*4). Find a such that -30*a + 6*a**4 - 5*a**3 - a**4 - 45*a**2 - m*a - 16*a - 20 = 0.
-1, 4
Let m(s) be the second derivative of -127*s + 0*s**4 + 0*s**3 + 0*s**2 + 0 + 1/25*s**5 - 1/150*s**6. Solve m(h) = 0.
0, 4
Let u(a) be the second derivative of -62*a - 11/2*a**3 + 9/20*a**5 + 9/2*a**2 - 1 + 5/4*a**4. Suppose u(t) = 0. Calculate t.
-3, 1/3, 1
Let o = 7723/285804 - -6/7939. Let s(j) be the third derivative of o*j**4 + 31*j**2 - 1/360*j**5 + 0 + 5/36*j**3 + 0*j. Factor s(g).
-(g - 5)*(g + 1)/6
Let b be (-7)/(-4)*(-11)/((-3619)/141). Factor 183/4*a**2 + b*a**4 - 63