tor 1/7*p**5 + 0 + 3749*p**3 + 0*p - 325/7*p**4 + 26569/7*p**2.
p**2*(p - 163)**2*(p + 1)/7
Let t = 243883/406475 - -2/406475. Solve 26/5*z + t*z**2 + 16/5 = 0.
-8, -2/3
Let h(f) be the first derivative of f**4/44 + 38*f**3/33 + 10*f**2 - 264*f - 2650. Suppose h(d) = 0. Calculate d.
-22, 6
Let c(a) = -a**3 + 289*a**2 - 15020*a - 1763. Let q be c(221). Find p, given that 2*p - 1/5*p**q - 7/5*p**4 + 27/5*p**3 + 0 - 29/5*p**2 = 0.
-10, 0, 1
Find l such that -34/5 - 2/15*l**2 - 8/3*l = 0.
-17, -3
Let -24*y + 8*y + 4*y**2 - 55 - 13 - 60 = 0. What is y?
-4, 8
Suppose 47 = 13*c + 4 - 9. Let j(n) be the second derivative of 0 + 0*n**2 + 2*n**3 + 5/6*n**4 - 1/10*n**5 - c*n. Factor j(u).
-2*u*(u - 6)*(u + 1)
Let g be -4 + (5/(-20)*4 - (-27)/5). Factor -8/5*d**4 + 0*d + 0 - g*d**5 - 4/5*d**2 - 2*d**3.
-2*d**2*(d + 1)**2*(d + 2)/5
Let p(j) be the first derivative of -j**6/18 + 4*j**5/5 - j**4/3 - 64*j**3/3 - 128*j**2/3 + 2300. Factor p(n).
-n*(n - 8)**2*(n + 2)**2/3
Let n(k) be the third derivative of k**8/252 - k**7/315 - 31*k**6/90 - 29*k**5/90 + 5*k**4/6 + 1229*k**2. Suppose n(r) = 0. Calculate r.
-5, -1, 0, 1/2, 6
Find q such that -2/3*q**2 - 1964162/3 - 3964/3*q = 0.
-991
Suppose -303 + 1323 = 10*o. Let n be (-16)/10*(-170)/o. Factor 0 + 4*a - n*a**2 - 4/3*a**3.
-4*a*(a - 1)*(a + 3)/3
Let p = -5/118 + 251/354. Suppose 5*k = 4*y + 13 - 3, 0 = -4*y. Factor 8/3*b**k + 0 - p*b**3 - 2*b.
-2*b*(b - 3)*(b - 1)/3
Let q(d) = -9*d**5 + 21*d**4 + 42*d**3 + 36*d**2 - 12*d - 24. Let s(o) = -o**5 + o**2 - o - 2. Let u(i) = q(i) - 12*s(i). What is y in u(y) = 0?
-4, -2, -1, 0
Suppose 0 = -4*y - 17 + 1, -7 = -5*j - 2*y. Let t(o) be the third derivative of 1/9*o**j + 1/54*o**5 + 0 + 7/108*o**4 + 1/540*o**6 + 9*o**2 + 0*o. Factor t(k).
2*(k + 1)**2*(k + 3)/9
Let n = -674721 + 674721. Factor n*l - 4*l**2 - 18/7*l**3 + 0 - 2/7*l**4.
-2*l**2*(l + 2)*(l + 7)/7
Let n(l) = 4*l**2 + l. Let c(m) = 75*m**2 - 150*m - 465. Let z(r) = -c(r) + 20*n(r). Let z(f) = 0. Calculate f.
-31, -3
Let q = -1680009333 - -14414480221279/8580. Let w = 1/1716 + q. Let 36/5 - 21/5*l**2 - 3*l**3 + w*l = 0. Calculate l.
-3, -2/5, 2
Let f(d) be the first derivative of d**3/6 + 51*d**2 - 621*d/2 + 3228. Determine c so that f(c) = 0.
-207, 3
Suppose -10 = -1458*u + 1463*u. Let n be u/28*(-42)/6. Factor 1/4*w - n*w**2 + 0 + 1/4*w**3.
w*(w - 1)**2/4
Let f(z) = 9*z**2 + 338*z - 26956. Let n(p) = -2*p**2 - 2*p + 12. Let h(q) = 3*f(q) + 15*n(q). Factor h(r).
-3*(r - 164)**2
Suppose 0 = -5*d + 17*d - 24. Factor -8*n - 37*n + 48*n - 45*n**3 - 75*n**d + 122*n - 5*n**4.
-5*n*(n - 1)*(n + 5)**2
Let y(q) be the second derivative of q**4/4 + q**3/2 - 1683*q**2 + 4879*q. Factor y(g).
3*(g - 33)*(g + 34)
Suppose -q + 2*q = 7. Let k = q - 4. Factor 6*n**k + 3*n**4 - 21*n**2 + 6*n + 15*n - 9*n.
3*n*(n - 1)**2*(n + 4)
Let l be (-20)/(-15)*(-15)/2. Let o(g) = g - 1. Let i(z) = -691*z**2 - 9*z - 4*z + 689*z**2 - 3. Let x(f) = l*o(f) - 2*i(f). Factor x(d).
4*(d + 2)**2
Let z(c) = -8*c - 5. Let d be z(-1). Let i(s) = 28*s**2 - 925*s + 35. Let f be i(33). What is h in -20/13*h**f - 16/13 - 2/13*h**d - 34/13*h = 0?
-8, -1
Let x = -88850 - -1155058/13. Solve x*r**2 + 0*r - 2/13*r**4 + 0 + 0*r**3 = 0 for r.
-2, 0, 2
Let y be ((-1520)/64)/19 + (-4)/(-3). Let m(i) be the third derivative of y*i**4 + 17*i**2 - 1/6*i**3 + 0 - 1/48*i**5 + 1/480*i**6 + 0*i. Factor m(p).
(p - 2)**2*(p - 1)/4
Let r be 3/(-18)*30240/(-3465). Factor 2/11*y**2 + 0 - r*y.
2*y*(y - 8)/11
Suppose -1/4*j**3 + 0 + 6*j**2 - 23/4*j = 0. Calculate j.
0, 1, 23
Let t(f) be the third derivative of -5*f**8/336 - 16*f**7/21 - 143*f**6/12 - 40*f**5 - 375*f**4/8 + 5*f**2 - 752. Factor t(o).
-5*o*(o + 1)**2*(o + 15)**2
Determine s so that -75*s**4 - 10*s**3 + 3*s**5 - 186*s**2 + 122*s + 30*s**2 + 28*s + s**3 + 375*s**2 = 0.
-1, 0, 2, 25
Let a be (3 - 4)/(((-10)/6)/5). Determine d so that -d + 16*d + 3 - 23*d**4 - 50*d**a - 42*d**4 - 18 + 80*d**2 + 35*d = 0.
-1, 3/13, 1
Suppose -10*c + 197 = 217. Let s be ((-13)/6 + 12/18)*c. Factor -3*v**2 + 1/2*v**s + 6*v - 4.
(v - 2)**3/2
Let y be (-3150)/(-378)*10/125. Find h, given that 8/3*h**3 + y*h**4 - 4*h + 0 + 2/3*h**2 = 0.
-3, -2, 0, 1
Suppose 3*q = -4*u, 34*u = 4*q + 33*u. Let z = -288 + 868/3. Solve -2/3*m**4 + 0*m + 0 - z*m**3 + q*m**2 + 2/3*m**5 = 0.
-1, 0, 2
Let n be 21855/(-2914)*2/(-10). Factor -24 - 6*v + 6*v**2 + n*v**3.
3*(v - 2)*(v + 2)*(v + 4)/2
Let -4/5*x - 17/5*x**2 + 1/5*x**3 + 68/5 = 0. What is x?
-2, 2, 17
Let k(p) be the second derivative of -89*p + 7/3*p**2 - 1/30*p**5 + 13/9*p**3 + 0 + 5/18*p**4. Let k(c) = 0. Calculate c.
-1, 7
Suppose -48961 = -83*x - 39499. Factor -x*u - 2/7*u**3 - 126 + 82/7*u**2.
-2*(u - 21)**2*(u + 1)/7
Let l(i) = -i**4 + 31*i**3 - 60*i**2 + 49*i - 19. Let p(x) = -32*x**3 + 60*x**2 - 48*x + 20. Let n = -152 + 149. Let j(a) = n*p(a) - 4*l(a). Factor j(r).
4*(r - 4)*(r - 1)**3
Factor 9405 - 57423*d**3 + 9395*d**2 + 28709*d**3 + 18805*d + 28709*d**3.
-5*(d - 1881)*(d + 1)**2
Suppose 2 = -3*c - 19. Let u be 2/(-2) - 21/c. Factor 6*z + 58 - 62 + 2*z**2 - 2*z - 4*z**3 + u*z**2.
-4*(z - 1)**2*(z + 1)
Let d(j) = 23*j - 225. Let r be d(10). Let p(x) be the second derivative of 0 - 5/66*x**4 - 2/33*x**3 - 16*x + 3/110*x**r + 0*x**2. Factor p(o).
2*o*(o - 2)*(3*o + 1)/11
Suppose 6*c + 6 = 8*c. Suppose 3*v = j + 33, -55 = -8*v + 3*v - c*j. Solve v*f - 40*f**2 + 30*f**3 - 3*f**5 - 2*f**5 + 4*f = 0 for f.
-3, 0, 1
Let s = -4141 - -4148. Let q(f) be the second derivative of 7*f + 20*f**6 + 0*f**3 + 0*f**2 + 0 + 8/3*f**4 - 250/21*f**s - 12*f**5. Factor q(r).
-4*r**2*(5*r - 2)**3
Solve 436/3*l + 1/3*l**2 + 0 = 0.
-436, 0
Let o(n) be the second derivative of 2*n + 10/3*n**3 - 1/24*n**4 - 100*n**2 - 59. Suppose o(w) = 0. What is w?
20
Let b be (-108)/24 + 4 - (-232)/144. Factor b*a**2 - 1/9*a**3 + 8/9 - 17/9*a.
-(a - 8)*(a - 1)**2/9
Solve -1280*g + 536 - 4*g**2 + 3130*g - 1590*g = 0.
-2, 67
Let w = -655 + 635. Let x be (-7)/(-28)*w + 7. Determine p, given that 27/5*p**4 - 27/5*p - 6/5 + 27/5*p**3 - 21/5*p**x = 0.
-1, -2/3, -1/3, 1
Factor 1920/19 + 2884/19*c + 2/19*c**3 + 966/19*c**2.
2*(c + 1)*(c + 2)*(c + 480)/19
Let s be 8009/458*52/(-130) + 7. Let u = 22786/21755 + s. Factor 6/19*a**2 - u - 14/19*a.
2*(a + 1)*(3*a - 10)/19
Let c(w) = 6*w**2 + w - 4. Suppose 0 = -4*a - 4*g - 12, -5*g = -a + 3*a + 18. Let z be c(a). Factor 2/3*u - 14/3 + 14/3*u**2 - 2/3*u**z.
-2*(u - 7)*(u - 1)*(u + 1)/3
Let o(r) = -3*r - 82. Let i be o(-18). Let p = i + 32. What is h in -4*h**2 + 11*h**2 - 2*h**3 - 18*h + 9*h**2 - p*h**2 = 0?
0, 3
Suppose 14*q = 11*q + 6. Suppose q*g - 3*u - 50 = -0, -4*g + 92 = -2*u. Let 12 + 3*d**2 + 12*d**3 + 5*d**2 - 5*d**3 - 9*d**3 + g*d = 0. Calculate d.
-1, 6
Let m(i) be the third derivative of i**6/300 + 49*i**5/75 - 101*i**4/15 + 136*i**3/5 - 5*i**2 - 273*i. Find l, given that m(l) = 0.
-102, 2
Let d(i) be the third derivative of i**6/120 - 2*i**5/5 - 9*i**4/8 + 25*i**3/3 + 870*i**2. Let d(l) = 0. What is l?
-2, 1, 25
What is h in 220/3*h - 72*h**3 - 68/3*h**4 - 4/3*h**5 + 52 - 88/3*h**2 = 0?
-13, -3, -1, 1
Let w(z) = 6*z**2 - 8*z + 8. Let v(f) = -f**2 + 5*f - 2. Let u(p) = -p. Let j(l) = 6*u(l) + v(l). Let n(s) = 4*j(s) + w(s). Let n(r) = 0. What is r?
0, 6
Factor -68/9*l + 16 - 2/9*l**2.
-2*(l - 2)*(l + 36)/9
Let q(v) be the third derivative of -62*v**2 + 0*v + 0*v**3 + 0 - 2/135*v**5 + 1/1080*v**6 + 1/18*v**4. Determine s, given that q(s) = 0.
0, 2, 6
Let t(d) = d**4 - d**3 - d**2 - 4. Let a(g) = 2*g**4 + 66*g**3 - 349*g**2 - 3040*g + 916. Let j(q) = -a(q) - 5*t(q). Factor j(r).
-(r - 7)*(r + 8)**2*(7*r - 2)
Let w(y) = -2*y + 18. Let z be w(5). Let i = z + -4. Factor -57*v - 3*v**2 + 320 + i*v**2 - 23*v + 4*v**2.
5*(v - 8)**2
Let x(l) be the first derivative of -7/240*l**5 + 49/96*l**4 + 1/1440*l**6 + 0*l**2 + 13*l**3 + 0*l - 6. Let t(w) be the third derivative of x(w). Factor t(m).
(m - 7)**2/4
Let a = 3504953/7 - 500707. Determine k, given that a*k**4 - 4/7*k**2 + 0*k - 1/7*k**5 + 1/7*k**3 + 0 = 0.
-1, 0, 1, 4
Suppose 0 = 12*o - 7*o - 11*o. Suppose -786*a + 794*a = o. Factor 0 - 2*h**4 + a*h**2 - 4/13*h**3 - 22/13*h**5 + 0*h.
-2*h**3*(h + 1)*(11*h + 2)/13
Let k(l) be the third derivative of l**6/40 + 7*l**5/10 + 43*l**4/8 + 15*l**3 + 48*l**2 + l + 17. Solve k(g) = 0.
-10, -3, -1
F