*3 + 3/22*w**4. Factor o(v).
2*(v - 2)*(v + 1)*(3*v + 1)/11
Suppose 4*x + 47 = -33. Let b be (-5)/(-25) + (-36)/x. Determine o, given that -o + 2/7 + 5/7*o**b = 0.
2/5, 1
Factor 4/5*f**3 + 0 + 104/5*f - 108/5*f**2.
4*f*(f - 26)*(f - 1)/5
Find p, given that 1222/7*p - 1452/7 + 232/7*p**2 - 2/7*p**3 = 0.
-6, 1, 121
Let m(i) = 26*i**2 - 29*i + 360. Let q(j) = -41*j**2 + 44*j - 540. Let c(p) = -11*m(p) - 7*q(p). Factor c(r).
(r - 9)*(r + 20)
Let j(z) = 14*z**3 + 649*z**2 - 2665*z + 2631. Let w(y) = -16*y**3 - 646*y**2 + 2666*y - 2630. Let l(g) = 10*j(g) + 9*w(g). Let l(v) = 0. Calculate v.
2, 165
Find n such that -63/10 + 31/5*n + 1/10*n**2 = 0.
-63, 1
Let z(d) = -129*d - 774. Let y be z(-6). Let k(f) be the second derivative of 1/150*f**5 + 1/90*f**4 + 0*f**2 + 12*f + 0 + y*f**3. Factor k(p).
2*p**2*(p + 1)/15
Let q(o) be the third derivative of -o**6/3240 + o**5/90 + 12*o**3 - 2*o**2 + 16*o. Let w(g) be the first derivative of q(g). Factor w(b).
-b*(b - 12)/9
Let k(j) = -55*j**2 - 960*j + 1 + 2 - 8 + 1025*j. Let t(d) = -d**3 - 2*d**2 - d - 1. Let c(z) = k(z) - 5*t(z). Let c(y) = 0. Calculate y.
0, 2, 7
Let b be 6/(-2)*-3 - (1 + 8). Let v(r) be the third derivative of 1/90*r**4 + b*r + 0 - 10*r**2 + 0*r**6 + 1/150*r**5 + 0*r**3 - 1/1575*r**7. Factor v(o).
-2*o*(o - 2)*(o + 1)**2/15
Let h(g) be the second derivative of -2*g**7/21 + 28*g**6/15 - 76*g**5/5 + 200*g**4/3 - 512*g**3/3 + 256*g**2 + 983*g. Factor h(t).
-4*(t - 4)**2*(t - 2)**3
Let w = -7450 - -22355/3. Solve -w*a + 4 - 1/6*a**2 = 0 for a.
-12, 2
Let w(u) be the second derivative of 26/45*u**5 + 16/9*u**2 + 0 + 8/27*u**4 + 1/27*u**7 - 64/27*u**3 - 37/135*u**6 + 22*u. Find n such that w(n) = 0.
-1, 2/7, 2
Let k(c) be the third derivative of -3*c**2 + 0*c**3 - 8/105*c**7 - 7 + 1/6*c**4 + 1/15*c**6 + 4/15*c**5 + 0*c - 1/28*c**8. Determine h, given that k(h) = 0.
-1, -1/3, 0, 1
Let r be (39/90 + 0 + (-270)/2700)*(-9)/(-12). What is o in 35/2*o + 1225/4 + r*o**2 = 0?
-35
Let r(n) be the first derivative of -57 + 9/2*n**3 + 729/2*n - 243/4*n**2 - 1/8*n**4. Solve r(u) = 0 for u.
9
Let c(f) = 17*f**2 - 98*f - 135. Let o(q) = -24*q**2 + 131*q + 180. Let g(h) = -11*c(h) - 8*o(h). Factor g(t).
5*(t + 3)**2
Determine x, given that -137/3*x**2 - 84 + x**3 + 156*x = 0.
2/3, 3, 42
Let m be (14 - -2) + (29 - 45 - -4). Let 4/5*g**3 - 36/5*g + m + 12/5*g**2 = 0. Calculate g.
-5, 1
Factor -2/11*f**3 - 442/11*f - 360/11 - 84/11*f**2.
-2*(f + 1)*(f + 5)*(f + 36)/11
Let h = -5696 - -5696. Let i(x) be the second derivative of -8/15*x**6 + 2/3*x**3 + h*x**2 - x - 1/5*x**5 + 0 + 4/3*x**4. Factor i(k).
-4*k*(k - 1)*(k + 1)*(4*k + 1)
Let i = -92 + 99. Determine r, given that 17*r + 10 + 2*r**2 + 7*r - i*r**2 + 110 + r = 0.
-3, 8
Let u be 1 - 4 - -1*3. Suppose u*t - 42 = -7*t. Find g, given that -3*g**4 - 18*g**3 + 0*g**4 + t*g**4 - 24*g + 36*g**2 = 0.
0, 2
Let r(j) be the second derivative of -2*j**6/15 + 4*j**5 - 32*j**4/3 - 160*j**3/3 + 288*j**2 + 706*j. Factor r(w).
-4*(w - 18)*(w - 2)**2*(w + 2)
Suppose 116*p = -158804 + 159036. Suppose -1/4*j**p - 3*j - 11/4 = 0. Calculate j.
-11, -1
Suppose -u + 5*f + 67 = 0, -203*f = -4*u - 205*f - 18. Let 1/2*s**u - 23*s + 529/2 = 0. What is s?
23
Let y(i) be the first derivative of i**3/12 - 5*i**2/8 - 25*i/2 - 777. Suppose y(d) = 0. What is d?
-5, 10
Suppose -130*l - 20 = -131*l. Solve 3*r**2 - 20*r**3 + l*r - 5*r**2 - 1 - 15 + 72*r**4 - 68*r**4 + 14*r**2 = 0 for r.
-1, 1, 4
Let y(f) be the second derivative of 1/120*f**6 + 0*f**2 - 25/48*f**4 + 1/2*f**3 - 1/168*f**7 + 17 + f + 13/80*f**5. Let y(n) = 0. What is n?
-4, 0, 1, 3
Factor 174724/7 - 1672/7*u + 4/7*u**2.
4*(u - 209)**2/7
Solve 0 + 27/4*x**3 - 29*x + 59/2*x**2 - 59/8*x**4 + 1/8*x**5 = 0 for x.
-2, 0, 1, 2, 58
Let l(r) = -r**2 + r - 1. Let u be (-1)/4 - 1930/(-40). Let i(x) = -97*x**2 + u*x**2 + 44*x**2 + 29*x - 2. Let n(h) = i(h) - 2*l(h). Let n(w) = 0. What is w?
0, 9
Let s(h) be the first derivative of 52 - 35*h**2 - 5/4*h**4 + 35/3*h**3 + 40*h. Factor s(m).
-5*(m - 4)*(m - 2)*(m - 1)
Let m = -607 + 610. Let d(f) = f**2 + 12*f - 43. Let n be d(m). Solve -7/4*p**4 - 5/4*p**5 + 1 + 31/4*p**n + 5*p + 13/4*p**3 = 0.
-1, -2/5, 2
Let u(p) be the first derivative of -p**4/4 + 7*p**3/3 - 8*p**2 + 12*p - 39. Factor u(z).
-(z - 3)*(z - 2)**2
Let j(y) = y**3 + y**2 + 2*y. Let l be j(-2). Let n be l/2 + 5 - -3. Factor -10*k**4 - 16*k**2 + 4*k**5 - n*k**2 + 30*k**3 - 10*k**4 + k**5 + 5*k.
5*k*(k - 1)**4
Let m(d) be the third derivative of 0 + 0*d**3 + 1/12*d**5 + 0*d - 5/24*d**4 - 1/42*d**7 + 12*d**2 + 1/24*d**6. Let m(i) = 0. What is i?
-1, 0, 1
Suppose 19*c - 70*c + 70 = -83. Let m(i) be the first derivative of -5 + 2/3*i**c - 9/2*i**4 + 0*i**2 + 81/10*i**5 + 0*i. Determine d so that m(d) = 0.
0, 2/9
Let n(g) be the first derivative of g**6/48 + 3*g**5/20 - 5*g**4/4 + 1591. Factor n(h).
h**3*(h - 4)*(h + 10)/8
Let v(g) be the first derivative of -3*g**4/20 + 76*g**3/5 - 1083*g**2/10 + 1278*g/5 + 3067. Find z, given that v(z) = 0.
2, 3, 71
Let z(i) be the first derivative of i**6/3 + 5238*i**5/5 + 1716099*i**4/2 + 3426962*i**3/3 + 296. Factor z(w).
2*w**2*(w + 1)*(w + 1309)**2
Solve -42/5*d - 44/5 + 2/5*d**2 = 0.
-1, 22
Let d(u) = u**3 - 5*u**2 + 2*u - 1. Let y be d(5). Let o be y/((-63)/2)*-14. Factor -27*m**2 + 8*m**o + 0*m**4 + 2*m**4 - 25*m - 6 - 6*m**4.
(m - 3)*(m + 2)*(2*m + 1)**2
Let t(c) = c**3 - 11*c**2 + 2*c + 145. Let b be t(5). Let 0 - 4*s**4 - 3/2*s**2 - 3/4*s**b - 23/4*s**3 + 0*s = 0. What is s?
-3, -2, -1/3, 0
Factor 75*f**3 + 714 + 1123 + 570*f**2 - 78*f**3 - 299*f + 3812*f + 1103.
-3*(f - 196)*(f + 1)*(f + 5)
Find z, given that 602*z**2 + 174*z**2 + 34*z**4 + 184*z**2 + 29*z**5 - 25*z**5 + 496*z**3 + 46*z**4 = 0.
-10, -6, -4, 0
Let j(z) = z**3 - 10*z**2 - 79*z - 82. Let t(f) = f**3 - 12*f**2 - 79*f - 78. Let n(h) = -6*j(h) + 7*t(h). Determine l so that n(l) = 0.
-2, -1, 27
Let j(s) be the second derivative of 106*s - 4*s**3 - 2 + 0*s**2 + 1/3*s**4. Find c such that j(c) = 0.
0, 6
Let w(z) be the third derivative of z**6/1800 + z**5/200 + z**4/60 - z**3/3 - 14*z**2. Let n(g) be the first derivative of w(g). Let n(l) = 0. Calculate l.
-2, -1
Suppose 2*r - 3*w = -5*w + 6, 0 = -r + 2*w. Let q(v) be the first derivative of 0*v + 2/5*v**3 + 1/5*v**r + 11/40*v**4 + 8 + 3/50*v**5. Factor q(m).
m*(m + 1)*(m + 2)*(3*m + 2)/10
Let q(y) be the second derivative of 173*y - 1/420*y**7 + 0*y**3 - 1/150*y**6 + 0*y**5 + 0 + 0*y**4 + 0*y**2. Suppose q(x) = 0. Calculate x.
-2, 0
Suppose 3*f + 3*h = 1146, -4*f - 147 + 1665 = -h. Find q such that -5*q**5 + 10*q**2 + 90*q + 15*q**5 - 175*q**2 + 35*q**4 - 430*q**3 + f*q**3 = 0.
-3, 0, 1/2, 2
Let t(d) = d**3 - 5*d**2 - 6*d + 6. Let y be t(6). Let v = 4324 - 4319. Factor 12*w**2 - 2*w - 6*w**2 - 3*w**4 - 1 - 2 + 3*w**5 - y*w**3 + v*w.
3*(w - 1)**3*(w + 1)**2
Let o(s) = 5*s**3 + s**2 + 2*s. Let u(r) = -88*r**3 - 479*r**2 - 448*r - 45. Let d(t) = -2*o(t) - u(t). Factor d(n).
3*(n + 1)*(n + 5)*(26*n + 3)
Factor 326 + 20*y + 22*y - 8*y**2 - 14 + 10*y**2 + 8*y.
2*(y + 12)*(y + 13)
Let h(l) = -5*l**3 - 4*l**2 - 40*l + 12. Let g(a) = -6*a**3 + a**2 - 39*a + 15. Let x(i) = 4*g(i) - 5*h(i). Find q such that x(q) = 0.
-22, -2, 0
Let y = -11653 + 11657. Let d(t) be the first derivative of -15 + 0*t + 1/3*t**y - 4/9*t**3 + 2/9*t**2 - 4/45*t**5. Factor d(w).
-4*w*(w - 1)**3/9
Let o be -4 + -7 + 1632/(-30). Let m = -63 - o. Factor -m - 3/5*b**2 + 12/5*b.
-3*(b - 2)**2/5
Let o be (-844)/(-4220)*1*(-1)/(-40). Let c(l) be the third derivative of 1/50*l**5 + o*l**6 + 0*l**4 + 0 + 0*l**3 - 7*l**2 + 0*l. Solve c(r) = 0.
-2, 0
Let s(n) = -2*n**2 + 32*n - 68. Let a(f) = -f + 2. Let d(v) = 10*v**2 - 157*v + 330. Let l(p) = -5*a(p) - d(p). Let o(b) = -3*l(b) + 14*s(b). Factor o(g).
2*(g - 17)*(g - 2)
Let q = -307 + 507. What is p in q - 36*p**3 - 52*p**2 + 114*p - 107*p**4 + 103*p**4 + 66*p = 0?
-5, -1, 2
Let r be ((-525)/(-60) - 8) + (-7)/28. Determine i, given that 7/2*i**2 - r*i**4 + 5/2*i**3 - 3 - 5/2*i = 0.
-1, 1, 6
Let z(f) = 2*f**2 + 27*f - 40. Let w be z(-15). Suppose -5*b + 12 = 3*d, 0 = 7*b - 9*b - d + w. Determine h, given that 0 + 0*h - 3/5*h**b - 6/5*h**2 = 0.
-2, 0
Let l(k) be the third derivative of -k**5/330 + 2*k**4/3 - 172*k**3/33 + 1375*k**2. Find r, given that l(r) = 0.
2, 86
Let