j in u(j) = 0?
-5/77
Let k = 8833 + -8113. Find z such that 768 - 189/4*z**2 + k*z + 3/4*z**3 = 0.
-1, 32
Factor 2614 - 153*q**2 + 15638 + 31*q + 86*q - 5733*q + 0*q**3 - q**3.
-(q - 3)*(q + 78)**2
Suppose -241 = -5*r + 14. Factor -r*c**2 - 20 - 15*c**3 + 7 + 132*c + 38 + 35.
-3*(c - 2)*(c + 5)*(5*c + 2)
Let o(c) = c**3 - 8*c**2 + 12*c - 8. Let f(m) = m**3 - 8*m**2 + 11*m - 8. Let n(w) = -4*f(w) + 3*o(w). Let l be n(7). Factor -23 + 6 - 20*u + l - 4*u**2.
-4*(u + 1)*(u + 4)
Let w = -2035439/240 + 8481. Let a(n) be the third derivative of -5/24*n**3 + 1/24*n**4 + 0 + 3*n**2 + w*n**5 + 0*n. Factor a(i).
(i - 1)*(i + 5)/4
Suppose -64*f = -29*f + 57085. Let a = -1623 - f. Let -a*x + 4/3*x**3 - 32/3 + 4*x**2 = 0. What is x?
-4, -1, 2
Let z(g) be the second derivative of -g**6/1800 + 14*g**5/75 - 392*g**4/15 - 35*g**3/2 - g + 35. Let a(k) be the second derivative of z(k). Factor a(l).
-(l - 56)**2/5
Let i(c) be the second derivative of c**4/20 - 421*c**3/5 + 531723*c**2/10 - 175*c. Let i(x) = 0. Calculate x.
421
Let k be 3711/(-2474) - (-1)/2*7. Factor 1/3*m**k - 4/3 + 0*m.
(m - 2)*(m + 2)/3
Factor -8*v**2 + 282*v + 6*v**2 - 23*v**2 + v**3 - 443 - 8*v**2 + 3.
(v - 20)*(v - 11)*(v - 2)
Let l(c) be the third derivative of -c**7/105 + 7*c**6/30 + c**5/30 - 7*c**4/6 + 4*c**2 - 489*c. Solve l(v) = 0.
-1, 0, 1, 14
Let w(g) be the third derivative of -g**6/160 - 2803*g**5/80 - 122675*g**4/2 + 491401*g**3/2 + 15*g**2 + 14*g + 2. Factor w(s).
-3*(s - 1)*(s + 1402)**2/4
Let l(h) = 17*h + 140. Let g be l(-8). Factor 336*w - 6482 - 4946 + 4372 - g*w**2.
-4*(w - 42)**2
Let g(k) be the third derivative of -79*k**2 + 0*k + 1/960*k**6 - 1/64*k**4 + 3/8*k**3 + 0 - 1/120*k**5. What is u in g(u) = 0?
-2, 3
Let l(x) = -4 + 6 + 14*x**2 + 8 - 26*x. Let k(s) = 41*s**2 - 78*s**2 - s + 36*s**2 - 1 - 2 + 2. Let r(t) = -2*k(t) - l(t). What is d in r(d) = 0?
1/3, 2
Factor 15/7*r - 18/7 - 3/7*r**2.
-3*(r - 3)*(r - 2)/7
Let h(o) be the first derivative of -8*o**5/5 + 37*o**4/2 + 878*o**3/3 - 112*o**2 + 213. Let h(m) = 0. Calculate m.
-7, 0, 1/4, 16
Let y(k) be the second derivative of 75*k**7/7 - 77*k**6/2 + 933*k**5/20 - 83*k**4/4 + 7*k**3/2 + 1006*k. Find t such that y(t) = 0.
0, 1/5, 1, 7/6
Let o(y) be the second derivative of 2/21*y**7 + 15*y - 11/5*y**5 + 0*y**6 - 4 - 16/3*y**3 + 0*y**2 - 6*y**4. Factor o(d).
4*d*(d - 4)*(d + 1)**2*(d + 2)
Suppose 5*q + 3 = 28, 3*q = -3*r + 27. Factor 80 - 49*a**2 - r*a - 36*a**2 + 81*a**2.
-4*(a - 4)*(a + 5)
Let j be -7 + 6 - (-2 - 0). Let q be j + (-6 - -2)/(-4). Suppose 2*z + 9*z**3 + 6*z**2 + z**q - z**3 + z**5 + 5*z**4 + z**3 = 0. Calculate z.
-2, -1, 0
Let g(k) be the third derivative of 0 + 2/75*k**5 + 0*k + 0*k**3 - 1/600*k**6 - 14*k**2 + 0*k**4. Factor g(q).
-q**2*(q - 8)/5
Let a(q) be the second derivative of 0 + 1/147*q**7 - 1/10*q**5 - 37*q - 1/21*q**4 + 4/7*q**3 + 8/7*q**2 + 0*q**6. Solve a(r) = 0.
-2, -1, 2
Factor 85683/2 - 2028*z + 24*z**2.
3*(4*z - 169)**2/2
Let v(x) be the third derivative of -x**7/42 + x**6/6 - x**5/3 - 820*x**2. Determine u so that v(u) = 0.
0, 2
Determine h, given that 33*h**2 + 6857775 + 14640*h - 29*h**2 + 6537825 = 0.
-1830
Suppose 5097 = 16*i - 2647. Let h = i - 480. Factor 0 + 0*x**2 + 0*x**3 + 2/3*x**h + 0*x - 2/3*x**5.
-2*x**4*(x - 1)/3
Let y(k) be the first derivative of -16/3*k**2 + 240 - 2/9*k**3 - 56/3*k. Let y(o) = 0. Calculate o.
-14, -2
Let z(j) be the first derivative of 4*j**3/21 + 600*j**2/7 + 1906. Solve z(u) = 0 for u.
-300, 0
Suppose 2*l = -4*k - 40, -15 = 2*l + 3*k + 22. Let f = 19 + l. Factor -7*q**3 + 22*q + f - 1 - 11*q**3 + 25*q**2 - q**2.
-2*(q - 2)*(3*q + 1)**2
Suppose -11*r + 88 = 33*r. Let p(l) be the third derivative of -17*l**r + 5/2*l**3 + 1/40*l**6 + 7/20*l**5 + 0*l + 0 + 11/8*l**4. Factor p(y).
3*(y + 1)**2*(y + 5)
Let w(a) = a**3 + 20*a**2 + 73*a - 26. Let j be w(-15). Let t be (-96)/198 - (-4)/6. Factor t*g**3 + 0*g**2 + 0*g**j - 1/11*g + 0 - 1/11*g**5.
-g*(g - 1)**2*(g + 1)**2/11
Let a(r) be the third derivative of -5*r**8/2016 + r**7/36 - 5*r**6/72 - r**5/36 + 55*r**4/144 - 25*r**3/36 + 11*r**2 + 29*r. Suppose a(b) = 0. Calculate b.
-1, 1, 5
Let y(a) = a**3 + 18*a**2 - 40*a + 56. Let j be y(-20). Let -3*v**3 + 45 - 64 + 36*v**2 + 75*v - 33*v**2 - j = 0. What is v?
-5, 1, 5
Let u(r) be the third derivative of -r**5/10 - 56*r**2. Let s(k) = -2*k**2 - k. Let j(o) = 4*s(o) - 2*u(o). Find l such that j(l) = 0.
0, 1
Factor 208/3 - 10/3*o - 2/3*o**2.
-2*(o - 8)*(o + 13)/3
Let q(t) be the first derivative of 2*t**5/5 - 66*t**4 + 1030*t**3/3 - 384*t**2 - 11165. Factor q(b).
2*b*(b - 128)*(b - 3)*(b - 1)
Let z be (-8)/3*6/(-4). Suppose 7*p - 1575 + 147 = 0. Factor 696*l**3 - 996*l**2 - p*l**z + 132 + 21*l**5 + 243*l + 78*l**2 + 30.
3*(l - 3)**3*(l - 1)*(7*l + 2)
Let f be -14 + 82/12 - (-15)/2. Let 8/3 + 3*q + f*q**2 = 0. Calculate q.
-8, -1
Let f = -42 - -45. Suppose 4*o = -2*c - 4, -6 = f*c + 3*o - 9. Solve -y + 1/2*y**2 + y**3 - 1/2*y**c + 0 = 0 for y.
-1, 0, 1, 2
Let g be 1/(3/6 - (-42)/(-96)). Factor g*l**4 - 14*l**4 - 18*l**2 - 4*l**3 + l**5 + 16*l**2 + 3*l.
l*(l - 1)**2*(l + 1)*(l + 3)
Suppose 39*f - 43575 = 15393. Determine a, given that -f*a**2 - 648 + 73*a**4 - 10*a**5 - 24*a**5 + 6*a**5 + 103*a**4 + 669*a + 2031*a - 48*a**3 = 0.
-3, 2/7, 3
Let l = 34 - 21. Suppose -2*r + l - 5 = 0. Factor 5*f**3 - r*f**3 - 8*f**4 - 4*f**3 - 4*f**5 - f**3.
-4*f**3*(f + 1)**2
Suppose -2747 + 2499*s - 5485 - 21457*s**4 + 10727*s**4 - 39*s**3 + 10733*s**4 - 63*s**2 = 0. Calculate s.
-8, 7
Factor -113*x**3 + 62*x**3 - 292410 + 56*x**3 - 1720*x**2 + 112812*x + 36813*x.
5*(x - 171)**2*(x - 2)
Let u(h) be the first derivative of -2*h**5/25 - 101*h**4/5 - 80*h**3 - 598*h**2/5 - 398*h/5 - 109. Factor u(x).
-2*(x + 1)**3*(x + 199)/5
Suppose 0 = -758*i - 63*i + 1642. Factor 1/2*d + 3/2*d**i - 1/2*d**4 - 1/2*d**3 - 1.
-(d - 1)**2*(d + 1)*(d + 2)/2
Factor 9698*s + 84*s**2 - 174*s**2 + 80*s**2 - 3057620 + 5*s**2 - 1878*s.
-5*(s - 782)**2
Let x(u) be the first derivative of 2*u**3/39 + 44*u**2/13 + 968*u/13 + 242. Factor x(j).
2*(j + 22)**2/13
Find o such that 488*o**3 + 93*o**4 - 28 + 1525*o**5 + 23*o**4 - 3082*o**5 + 488*o**2 + 15*o + 101*o + 1529*o**5 = 0.
-1, 1/7, 7
Suppose 203 = 6*u + 11. Suppose -2*y = -3*x + 40, -5*y = -5*x + u + 28. Suppose 0*l - 2 + 13*l - 38*l**2 + l**3 - 30*l + 40*l**4 + x*l**5 = 0. Calculate l.
-2, -1, -1/4, 1
Let t(i) be the second derivative of 2*i**7/189 + 316*i**6/135 + 1309*i**5/9 + 23716*i**4/27 - 2*i + 2615. Factor t(q).
4*q**2*(q + 4)*(q + 77)**2/9
Let t be (3/12)/((-5)/(-1780)). Let u = t - 86. Let 35*q - 59 - 48 + 5*q**u + 92 - 25*q**2 = 0. Calculate q.
1, 3
Let z(x) be the third derivative of 8*x**7/105 + 28*x**6/15 + 47*x**5/5 - 185*x**4/6 + 100*x**3/3 - 3961*x**2. Solve z(y) = 0 for y.
-10, -5, 1/2
Let w(l) be the third derivative of l**6/60 - 53*l**5/6 + 17423*l**4/12 + 17689*l**3/3 + 1164*l**2. Determine b so that w(b) = 0.
-1, 133
Let y(r) = 3*r**5 + 3*r**4 + 4*r**3 - 2*r**2 - 2*r - 6. Let s(m) = m**5 - m**4 - m**3 - m**2 - m - 3. Let d(i) = -2*s(i) + y(i). Factor d(q).
q**3*(q + 2)*(q + 3)
Let n be (336/32 - (-3 + -1 + 7))/(8 + -2). Factor n*r**2 + 13/4*r + 7/4 - 1/4*r**3.
-(r - 7)*(r + 1)**2/4
Let d be 316*7/168 - 18*(-1)/(-2). Suppose -1/3*y**4 - 14*y**2 - 50/3*y - d*y**3 - 16/3 = 0. What is y?
-8, -2, -1/2
Let p = 56726 + -56726. Determine x so that 10*x + p + 5/3*x**2 = 0.
-6, 0
Let t = 47553 - 47550. Factor 3/4*q**t + 0 + 0*q + 3/2*q**2.
3*q**2*(q + 2)/4
Factor 477/4*u + 1/4*u**2 + 0.
u*(u + 477)/4
Let z = 2008897/52 + -38627. Let d = z - 70/13. Let 0*w**4 + 0 + 0*w + 1/8*w**5 + d*w**2 - 3/8*w**3 = 0. What is w?
-2, 0, 1
Suppose -8287 = 12*k - 823. Let z = k - -1868/3. Find i such that 4/9*i + 2/9*i**3 + 0 + z*i**2 = 0.
-2, -1, 0
Let w(t) = -5*t**2 + 12*t - 12. Let j(h) = -4*h**2 - 13 + 8*h - 5*h + 8*h. Let u(n) = -4*j(n) + 3*w(n). Let u(f) = 0. Calculate f.
4
Let m(q) = -7*q**2 - 2284*q - 2. Let v(l) = -31*l**2 - 9144*l - 9. Let a(w) = 18*m(w) - 4*v(w). Determine p so that a(p) = 0.
-2268, 0
Let s(x) be the second derivative of -x**5/80 - 241*x**4/4 - 116162*x**3 - 111980168*x**2 - 611*x - 1. Factor s(p).
-(p + 964)**3/4
Let h be (-214 - -202) + (1 - (-438)/36). Suppose -23/2*m - 43/6*m**2 - h*m**3 - 3/2 = 0. Calculate m.
-3, -1/7
Let u(o) = o