 1)*(y + 3)
Suppose p + 3*j - 24 = 6*p, -3 = -j. Let n be p/((-6 + 8)/(36/(-10))). Find l such that 3*l**4 + n*l**3 + 6/5*l + 21/5*l**2 + 0 + 3/5*l**5 = 0.
-2, -1, 0
Let x = -925 - -934. Suppose -w + 1 = -1. Factor -t**2 - 1 - 5*t + x*t - w*t.
-(t - 1)**2
Let g(t) be the third derivative of -t**5/60 + 329*t**4/24 + 55*t**3 - 616*t**2 - t. Factor g(y).
-(y - 330)*(y + 1)
Let d(i) = 6 - 38*i**2 - 30*i**3 - 18*i + 39*i**2 + 25*i. Let p be d(-1). Factor -5*q**4 - 305*q**2 + 420*q + p*q**3 + 51*q**3 + 11*q**3 - 22*q**3 - 180.
-5*(q - 6)**2*(q - 1)**2
Factor 101/5*d**2 - 199/5*d + 99/5 - 1/5*d**3.
-(d - 99)*(d - 1)**2/5
Let y = 2590997/2 - 1295486. Factor -1/2*m**5 - y*m**2 - 4*m - 11/2*m**4 + 0 - 27/2*m**3.
-m*(m + 1)**3*(m + 8)/2
Let v(g) be the third derivative of -g**8/2240 + 11*g**7/840 - g**6/30 - g**5/2 + 19*g**4/24 - 248*g**2. Let z(y) be the second derivative of v(y). Factor z(k).
-3*(k - 10)*(k - 2)*(k + 1)
Let o be 1/(-77)*(1570 + 1). Let i = o - -226/11. Solve -64/7 + 16/7*w - i*w**2 = 0 for w.
8
Let z(n) be the first derivative of -2*n**5/15 - 4*n**4/3 + 28*n**3 - 144*n**2 + 306*n + 768. Determine f so that z(f) = 0.
-17, 3
Let h(q) be the first derivative of q**6/24 - 9*q**5/20 + 11*q**4/16 + 61*q**3/12 - 15*q**2/2 - 25*q + 4922. Determine n so that h(n) = 0.
-2, -1, 2, 5
Let d(w) = -5*w**4 - 370*w**3 + 3605*w**2 - 5*w + 5. Let t(o) = -o**4 - 186*o**3 + 1803*o**2 - 2*o + 2. Let v(a) = 2*d(a) - 5*t(a). Let v(s) = 0. What is s?
0, 19
Determine z so that 42*z**3 + 2898 + 53*z**4 - 51*z**4 - 3018 + 22*z**2 - 136*z - 2*z**5 = 0.
-3, -2, -1, 2, 5
Let p(a) = -a**3 + 10*a**2 + 11*a + 14. Let m be p(11). Suppose 0 = -3*z - b + 5, -3*z + m = -3*b + 5. Find j such that 25*j + 10 - 3 + 8 - 5 + 15*j**z = 0.
-1, -2/3
Suppose -27*x + 7 = 211*x - 469. Factor 21/2*a**3 - 12 + 49/2*a**4 - 159*a**x + 86*a.
(a - 2)*(a + 3)*(7*a - 2)**2/2
Let u = 876089 - 876089. Solve 1/2*v**3 + v**2 - 3/2*v + u = 0 for v.
-3, 0, 1
Let d be (-3 - 1) + 4 + 11. Factor 7*s**3 - d - 124*s - 9*s**2 - 8*s**3 + 145*s.
-(s - 1)**2*(s + 11)
Let i(n) be the second derivative of -5*n**4/12 + 130*n**3/3 + 265*n**2/2 + n + 338. Factor i(o).
-5*(o - 53)*(o + 1)
Suppose -3*p = -9, 2*y + 4*p = 3*y + 10. What is v in -2*v - 10*v**y - 39*v - 16*v - 36*v - 40 + 8*v = 0?
-8, -1/2
Find p, given that -p**5 - 131 + 417 - 145 - 3*p**4 - 141 + 9*p**3 - 5*p**2 = 0.
-5, 0, 1
Let u(w) = -2*w**5 + w**4 - w**2 + w. Let s(n) = 23*n**5 + 13*n**4 + 213*n**3 + 877*n**2 + 1621*n + 1152. Let h(k) = -2*s(k) - 22*u(k). Solve h(v) = 0 for v.
-8, -3, -2
Let c be ((-32)/(-7))/(14*1 + (-22800)/1680). Suppose -4/3*p**2 - 8/3*p + c = 0. What is p?
-4, 2
Let j(z) = -4*z**3 + 417*z**2 - 3030*z - 886. Let h(v) = 8*v**3 - 835*v**2 + 6060*v + 1755. Let m(n) = 6*h(n) + 11*j(n). Factor m(b).
(b - 98)*(b - 8)*(4*b + 1)
Suppose -1/2*b**4 - 60 - 119/2*b + 121/2*b**2 + 119/2*b**3 = 0. What is b?
-1, 1, 120
Let q(u) be the second derivative of 2*u**6/105 - 9*u**5/35 + u**4 - 38*u**3/21 + 12*u**2/7 + 680*u. Factor q(h).
4*(h - 6)*(h - 1)**3/7
Suppose -22 = -x - 16. Suppose 0 = -x*t + 12. Suppose -1/4*u**t + 1/4*u**3 - 1/4*u**5 + 1/4*u**4 + 0*u + 0 = 0. Calculate u.
-1, 0, 1
Let q(y) be the third derivative of -1/330*y**5 + 0*y**3 - 3 - y**2 + 1/66*y**4 + 0*y. Factor q(a).
-2*a*(a - 2)/11
Let n be (-4)/(-6)*(15/(-2))/((-6235)/4988). Solve 0 - n*d - 2/5*d**3 - 14/5*d**2 = 0 for d.
-5, -2, 0
Let j(x) be the second derivative of 5*x**3 + 0 - 28*x + 0*x**2 - 1/90*x**6 + 7/6*x**4 - 1/5*x**5. Let o(g) be the second derivative of j(g). Factor o(u).
-4*(u - 1)*(u + 7)
Let x(m) be the first derivative of 30 + 0*m**2 + 0*m + 0*m**3 + 4/9*m**5 + 2/27*m**6 - 2/3*m**4. Let x(n) = 0. What is n?
-6, 0, 1
Let f be (33288/876)/(21 - 2). Factor -4/17 - 50/17*k + 54/17*k**f.
2*(k - 1)*(27*k + 2)/17
Let n(l) = -3*l**2 + 35*l + 21. Let d be n(25). Let i = 983 + d. Find f such that -i*f**2 + 4*f - 4/3 + 4/3*f**3 = 0.
1
Let q(v) be the second derivative of 3*v**5/20 - 93*v**4/4 + 1155*v**3/2 - 11613*v**2/2 - 514*v + 2. Solve q(a) = 0.
7, 79
Let a(r) be the third derivative of 2*r**2 + 1/420*r**7 + 4*r**3 + 11/30*r**5 - 95 + 19/12*r**4 + 11/240*r**6 + 0*r. Solve a(m) = 0 for m.
-4, -3, -2
Let l(u) be the first derivative of -2/5*u**4 + 44 + 4/5*u**2 + 1/25*u**5 - 1/15*u**3 + 0*u. Factor l(p).
p*(p - 8)*(p - 1)*(p + 1)/5
Let o(p) be the second derivative of 116*p - 5/2*p**4 + 5/6*p**6 + 1/2*p**5 + 5/2*p**2 - 5/14*p**7 + 5/6*p**3 + 0. Find j, given that o(j) = 0.
-1, -1/3, 1
Let r(i) be the first derivative of 3*i**5 + 6*i**4 + i**3 - 3*i**2 - 5. What is q in r(q) = 0?
-1, 0, 2/5
Let w(g) = -5*g**3 + 16*g**2 + 4. Let r = 54 - 51. Let b(f) = 4*f**3 - 16*f**2 - 3. Let i(l) = r*w(l) + 4*b(l). Let i(q) = 0. Calculate q.
0, 16
Let t(c) be the first derivative of c**6/120 + 2*c**5/5 + 15*c**4/8 + 2*c**3 + 3*c - 32. Let q(m) be the third derivative of t(m). Find b, given that q(b) = 0.
-15, -1
Let w(y) be the first derivative of -2*y**5/25 - 44*y**4/5 - 346*y**3/15 - 86*y**2/5 + 1703. Factor w(i).
-2*i*(i + 1)**2*(i + 86)/5
Let a(o) be the first derivative of -2*o**6/3 - 336*o**5/5 + 85*o**4 + 1853. Factor a(h).
-4*h**3*(h - 1)*(h + 85)
Let u(m) = -m**3 - 3*m**2 - 2*m - 4. Let p be u(-2). Let o be (-15 - 1)/p + -1. Factor x - 6*x**o + 2*x**3 + 3*x.
-4*x*(x - 1)*(x + 1)
Factor 4*j**4 + 1302*j - 144*j**2 - 168*j**2 + 5015 - 48*j**3 + 1690*j + 5149.
4*(j - 11)**2*(j + 3)*(j + 7)
Let k(a) be the first derivative of 3*a**6/2 + 52*a**5/5 - 66*a**4 + 2*a**3/3 + 255*a**2/2 - 54*a + 163. Determine l so that k(l) = 0.
-9, -1, 2/9, 1, 3
Let k be (-9702)/396*(27/(-36))/(1/((-16)/(-189))). Solve -16/9*n - 10/9*n**4 + 8/9 + 2/9*n**5 + 2/9*n**2 + k*n**3 = 0.
-1, 1, 2
Let k(n) be the second derivative of 0*n**2 - 7 + 17/15*n**3 - 2*n - 1/30*n**4. Factor k(v).
-2*v*(v - 17)/5
Let t(b) = b**3 - 5*b**2 + 9*b - 6. Let z be (1/2)/((-6)/(-36)). Let i be t(z). Solve -3*g**i - 2 - 11*g**2 - 1 - 12*g + 7 - 8 = 0 for g.
-2, -1, -2/3
Suppose -2 = 4*x + 2*y, 5*x + y - 17 = 5*y. Let r(u) = 1. Let m(o) = -25*o - 1 - 40650*o**2 + 2 + 40655*o**2. Let h(p) = x*r(p) - m(p). Factor h(s).
-5*s*(s - 5)
Suppose -3*a - 3*q - 65 = -8*q, q - 4 = 0. Let f(s) = -s**2 - 18*s - 37. Let j be f(a). Solve 3*k - 8*k**3 + 0*k**2 + k**3 - 5*k**2 + 18 - j*k**2 - k**4 = 0.
-3, -2, 1
Let l = 2837936/212847 - -8/70949. Factor 1/3*j**2 - l + j.
(j - 5)*(j + 8)/3
Let n(w) be the third derivative of -w**6/720 - 173*w**5/120 - 2795*w**4/6 + 16900*w**3/9 + 26*w**2 + w - 2. Let n(b) = 0. Calculate b.
-260, 1
Let g = -8721/2 - -4401. Let r = -2997/4 + 750. Factor -g + r*t**4 + 21/4*t**3 - 81/4*t + 27/4*t**2.
3*(t - 2)*(t + 3)**3/4
Let m be (-72)/231*(-497)/213. Factor -2/11*p**3 + m*p**2 + 0 - 8/11*p.
-2*p*(p - 2)**2/11
Solve 14*i**5 + 212*i**3 + 168*i - 2176*i**2 - 52*i**4 - 10*i**5 + 1844*i**2 = 0.
0, 1, 2, 3, 7
Let n = 1679321/19 - 88385. Solve 12/19*q**3 - 2/19*q**5 - 42/19*q + 18/19 + 20/19*q**2 - n*q**4 = 0 for q.
-3, 1
Let g(v) = 3*v**2 - 8. Let l be (-32)/(-6) + 1 - (-5)/(-15). Let w(j) = l - 5 + 2*j**2 - 5. Let n(q) = -2*g(q) + 5*w(q). Factor n(h).
4*(h - 1)*(h + 1)
Let v = -450403/1207620 - -5/6709. Let s = -3/20 - v. Solve s*a + 0 + 4/9*a**2 + 2/9*a**3 = 0 for a.
-1, 0
Let p(q) be the second derivative of q**4/114 + 10*q**3/19 - 864*q**2/19 + 9*q + 56. Factor p(l).
2*(l - 18)*(l + 48)/19
Let z = -368480 - -368484. Solve 16/7*y**2 - 12/7*y + 1/7*y**z + 0 - y**3 = 0 for y.
0, 2, 3
Suppose -3*h**4 + 1905*h**2 - 879*h**3 - 902*h - 69*h**3 - 52*h = 0. Calculate h.
-318, 0, 1
Suppose 0 = -y + 3*y + j - 5, -10 = 3*y + 5*j. Factor -15*o - 56*o**4 + 3*o**5 + 15*o + 196*o**3 + o**y.
4*o**3*(o - 7)**2
Let h(c) = -c**3 + 11*c**2 - 10*c + 15. Let q be h(10). Let r be 5/25 - (-27)/q. Factor 2 + r*o**3 - 5 - 5*o - o**3 - o**2.
(o - 3)*(o + 1)**2
Determine q so that 1/10*q**3 - 77/5*q - 136/5 - 7/10*q**2 = 0.
-8, -2, 17
Suppose -3*q + 176 = -8*m + 12*m, 2*m + 5*q - 88 = 0. Factor 3*v**3 + 44*v**2 - 18*v**2 + 3*v**5 - m*v**2 + 12*v**4.
3*v**2*(v - 1)*(v + 2)*(v + 3)
Let y(m) be the second derivative of 0*m**2 - 2 - 1/10*m**5 + 0*m**3 - 1/6*m**4 + 10*m. Factor y(r).
-2*r**2*(r + 1)
Let p(k) be the third derivative of -k**6/840 - 19*k**5/210 + 83*k**4/168 + 20*k**3/7 - 79*k**2 - 5*k. Factor p(d).
-(d - 3)*(d + 1)*(d + 40)/7
