5/90 - 7*v**4/27 + 28*v**3/27 + 40*v**2/3 - 404*v. Determine k, given that h(k) = 0.
-2, 6, 10
Let k(q) be the third derivative of -1/240*q**5 - 5/12*q**3 + 0 + 15*q**2 + 0*q + 7/96*q**4. Factor k(t).
-(t - 5)*(t - 2)/4
Factor -1908/5*d + 3/5*d**2 + 303372/5.
3*(d - 318)**2/5
Let a(i) = -i**3 + 4*i**2 + 4*i - 1. Let w be a(5). Let q be (-2)/(-14)*(-7 + (-49)/w). Factor q*l**3 + 1/2*l + 1/6 + 1/2*l**2.
(l + 1)**3/6
Let y = -184 - -188. Factor 5*v**5 - 4*v**4 - 4*v**4 - 64*v - v**5 + 40*v**y - 32*v**2 + 60*v**3.
4*v*(v - 1)*(v + 1)*(v + 4)**2
Let i(a) be the first derivative of a**3/12 + 141*a**2 + 79524*a - 1342. Factor i(j).
(j + 564)**2/4
Solve 55/2*i**2 + 0*i**3 - 5/2*i**4 + 20 + 45*i = 0.
-2, -1, 4
Let n = -121 + 123. Factor 17 + 9 - k**2 + 0*k**n - 2 - 23*k.
-(k - 1)*(k + 24)
Let w(c) be the second derivative of -c**4/48 - 29*c**3/12 - 77*c**2 + 9*c + 32. Solve w(z) = 0.
-44, -14
Let x(r) be the third derivative of 0*r**3 + 1/3*r**4 - 13 + 1/120*r**6 - 3/20*r**5 + 0*r - 2*r**2. Let x(c) = 0. Calculate c.
0, 1, 8
Let l(h) be the second derivative of h**6/6 + 237*h**5/4 - 1795*h**4/6 + 400*h**3 + 4809*h. Factor l(v).
5*v*(v - 2)*(v - 1)*(v + 240)
Suppose s + 63 = 8*s. Factor -2*h + 14*h**4 - 17 - s*h**2 + 20 - 3 - 3*h**3.
h*(h - 1)*(2*h + 1)*(7*h + 2)
Let g(j) be the third derivative of -j**6/40 - 59*j**5/10 + 239*j**4/8 - 60*j**3 - 658*j**2 - j. Determine q, given that g(q) = 0.
-120, 1
What is c in 2/9*c**2 - 2/9*c**4 + 0 + 8/9*c - c**3 + 1/9*c**5 = 0?
-2, -1, 0, 1, 4
Suppose 4*y + 4*c + 44 = 0, -50 = 9*y - 2*c - 72. Let x(l) = l**2 + 7*l + 2. Let r be x(-7). Determine a so that -5/2*a + 10*a**4 + 35/2*a**3 + 5*a**r + y = 0.
-1, 0, 1/4
Let o(l) be the third derivative of -l**5/20 + 589*l**4/4 - 346921*l**3/2 + 9910*l**2. Factor o(w).
-3*(w - 589)**2
Let m(y) = -10*y + 30. Let i be m(3). Solve 1 + 9*s + i*s**2 + 13 + 5*s**2 - 4*s - 6*s**2 = 0.
-2, 7
Let z(n) be the third derivative of 2*n**2 + 500/3*n**4 + 6 + 5/336*n**8 + 0*n + 865/12*n**5 + 640/3*n**3 + 355/24*n**6 + 5/6*n**7. Solve z(m) = 0 for m.
-16, -1
Let y be 95628/66 + (402/66 - 6). Let s = -30421/21 + y. What is g in 2/21*g**2 + 0 + s*g = 0?
-4, 0
Suppose -230*o**2 - 63*o**3 - 1660*o**4 + 1655*o**4 - 62*o**3 = 0. What is o?
-23, -2, 0
Let o(x) be the second derivative of x**6/540 - x**5/108 - x**4/54 + 22*x**3/3 + 38*x. Let t(a) be the second derivative of o(a). Determine h so that t(h) = 0.
-1/3, 2
Determine t, given that -7654 + 198792*t - 1026 - 5*t**2 - 194442*t = 0.
2, 868
Suppose -2*x - 7*n = -6*n + 631, 5*n - 15 = 0. Let c = 1589/5 + x. Factor c*z**2 + 8/5 + 12/5*z.
4*(z + 1)*(z + 2)/5
Let f(t) be the first derivative of t**8/2940 - t**7/1470 - t**6/630 + t**5/210 - 40*t**3/3 + 71. Let j(q) be the third derivative of f(q). Solve j(u) = 0.
-1, 0, 1
Let z(y) be the first derivative of -2*y**5/115 - 93*y**4/23 - 246*y**3/23 - 8*y**2 - 1887. What is o in z(o) = 0?
-184, -1, 0
Let x be (-112)/(-735) - (-39)/819. Factor 1/5*a**3 - x*a**2 - 8/5 - 2*a.
(a - 4)*(a + 1)*(a + 2)/5
Suppose 4 - 32 = -w + 5*b, w = -4*b - 17. Suppose 0 = -3*x - w*v + 9, -7*x + 2*v + 8 = -2*x. Suppose 4/15*h - 2/5*h**x + 0 + 0*h**3 + 2/15*h**4 = 0. What is h?
-2, 0, 1
Let b(o) = -23*o**3 - 52*o**2 - 16*o - 5. Let f be b(-2). Factor 21/5*l**f + 0*l + 3*l**4 + 0 + 9/5*l**2 + 3/5*l**5.
3*l**2*(l + 1)**2*(l + 3)/5
Let g = -11772 - -1542141/131. Let i = 217/655 + g. Factor i*w**3 + 0*w + 1/5*w**4 + 1/5*w**2 + 0.
w**2*(w + 1)**2/5
Let x = -51892/3 + 17298. Let b(t) be the first derivative of 0*t**2 + t**4 - 18 + 2/5*t**5 + x*t**3 + 0*t. Factor b(l).
2*l**2*(l + 1)**2
Let j(c) be the third derivative of 9/100*c**5 + 1/350*c**7 + 0*c - 25*c**2 + 1/5*c**3 - 1/40*c**6 + 3 - 7/40*c**4. Determine q, given that j(q) = 0.
1, 2
Let f be 2/5*(203/1890)/29. Let j = 679/2700 - f. What is v in -7/2*v + 49/4 + j*v**2 = 0?
7
Let h(n) be the third derivative of -n**6/40 + n**5/5 + n**4/2 - 8*n**3 + 11*n**2 + 34*n. Factor h(x).
-3*(x - 4)*(x - 2)*(x + 2)
Suppose -15*l + 3*l = 0. Solve -10*y - 42*y**3 + 94*y**3 + l*y**2 - 42*y**3 - 5*y**4 + y**2 + 4*y**2 = 0.
-1, 0, 1, 2
Let a(b) be the second derivative of -b**6/120 + 19*b**5/80 - 3*b**4/8 + 2*b + 858. Factor a(l).
-l**2*(l - 18)*(l - 1)/4
Let y(k) = -3*k + 32. Let v be y(9). Suppose -3*w + 1 + v = 0. Factor w*a + 35 + 0*a - 37 + a**2 - 3*a.
(a - 2)*(a + 1)
Let t(r) be the first derivative of r**6/135 - r**5/30 + r**4/27 + 222*r - 65. Let q(y) be the first derivative of t(y). Factor q(d).
2*d**2*(d - 2)*(d - 1)/9
Let t(g) be the second derivative of g**6/10 + 81*g**5 + 72357*g**4/4 - 73441*g**3 - 1155*g. Let t(i) = 0. What is i?
-271, 0, 2
Let u = 1444/41 - 135632/3567. Let t = u - -120/29. Suppose 2/9*n - t + 2/9*n**2 = 0. Calculate n.
-3, 2
Let k(i) be the third derivative of 1/12*i**5 + 0 + 25/24*i**4 + 0*i - 17*i**2 + 10/3*i**3. Suppose k(b) = 0. Calculate b.
-4, -1
Solve -32/7*w**3 + 0 + 30/7*w + 4*w**2 - 4*w**4 + 2/7*w**5 = 0 for w.
-1, 0, 1, 15
Let h be (-7)/98*-4 - 297/(-63). Let x(l) be the second derivative of -125/2*l**2 - h*l - 5/12*l**4 + 0 + 25/3*l**3. Factor x(p).
-5*(p - 5)**2
Let y(s) be the first derivative of 10*s**5 - 1415*s**4 + 366*s**3 + 1804*s**2 + 904*s - 111. Suppose y(x) = 0. What is x?
-2/5, 1, 113
Let f(y) be the third derivative of -y**8/168 + 32*y**7/105 - 311*y**6/60 + 434*y**5/15 - 49*y**4 + 9034*y**2. Determine p so that f(p) = 0.
0, 1, 3, 14
Let q(f) be the third derivative of f**6/600 + 197*f**5/60 + 10127*f**4/5 + 40344*f**3/5 - 110*f**2 - f. Find c, given that q(c) = 0.
-492, -1
Let s = 23212 + -46415/2. Factor -1/2*n**2 + 11 - s*n.
-(n - 2)*(n + 11)/2
Let z(d) be the second derivative of 4*d**7/105 - d**6/10 - 8*d**5/15 - d**4/2 - 37*d**2/2 - 44*d + 1. Let j(c) be the first derivative of z(c). Factor j(q).
4*q*(q - 3)*(q + 1)*(2*q + 1)
Let q(g) be the second derivative of -g**5/20 + 281*g**4/12 + 142*g**3/3 - 282*g**2 + 15*g - 79. Factor q(x).
-(x - 282)*(x - 1)*(x + 2)
Let -7*f - 1/5*f**4 - 149/5*f**2 + 7*f**3 + 30 = 0. What is f?
-1, 1, 5, 30
Let y(i) be the second derivative of -3/4*i**2 + 1/2*i**3 - 1/8*i**4 + 16*i + 1. Factor y(d).
-3*(d - 1)**2/2
Factor 48*j - 38228*j**3 - 16 - 18*j**2 - 16 + 38230*j**3.
2*(j - 4)**2*(j - 1)
Let x(o) be the second derivative of o**7/560 - o**6/180 + o**5/240 - o**3/3 + 13*o**2/2 - 64*o. Let q(w) be the second derivative of x(w). Factor q(f).
f*(f - 1)*(3*f - 1)/2
Let t(b) be the first derivative of b**5/25 - 7*b**4/20 - 67*b**3/15 + 119*b**2/2 - 882*b/5 - 1254. Factor t(a).
(a - 7)**2*(a - 2)*(a + 9)/5
Let t(b) = 15*b + 71. Let s(c) = 6*c. Let f(x) = 3*s(x) - 3*t(x). Let m be f(-8). Factor 3/2*j**2 + 0 - j - 1/2*j**m.
-j*(j - 2)*(j - 1)/2
Let t(i) be the third derivative of i**8/84 + 4*i**7/105 - 19*i**6/6 + 20*i**5 + 2462*i**2. Let t(o) = 0. Calculate o.
-12, 0, 5
Let u(w) be the first derivative of -1/2*w**4 - 4/3*w**3 + 4*w + 189 + w**2. Determine s, given that u(s) = 0.
-2, -1, 1
Let z = 10346 - 10343. Let m(f) be the third derivative of 0 + 15*f**2 + 4/9*f**z + 0*f - 1/12*f**4 + 1/180*f**5. Suppose m(l) = 0. Calculate l.
2, 4
Let q = 220/3 + -73. Let o(h) = -87*h + 696. Let b be o(8). Factor b - q*k**2 - 2/3*k.
-k*(k + 2)/3
Suppose 0 = -4*v - 3*y + 53 + 112, -3*y = 15. Suppose 0 = -v*x - 11*x. Factor -2/9*h**2 + 0*h - 2/9*h**3 + x.
-2*h**2*(h + 1)/9
Let q = -5061 + 75917/15. Let t(y) be the second derivative of q*y**6 + 1/3*y**4 + 0 + 0*y**2 - 7*y - 2/5*y**5 + 0*y**3. Determine w, given that t(w) = 0.
0, 1
Let n(t) be the third derivative of t**6/360 + t**5/60 - 143*t**4/36 - 16*t**3 - 2053*t**2. Factor n(i).
(i - 16)*(i + 1)*(i + 18)/3
Let w(h) = -14*h**3 + 108*h**2 + 302*h + 204. Let l(a) = 9*a**3 - 71*a**2 - 201*a - 136. Let u(n) = -8*l(n) - 5*w(n). Factor u(s).
-2*(s - 17)*(s + 1)*(s + 2)
Let u = 690054 - 2070146/3. Find i, given that -u + 6*i - 2/3*i**2 = 0.
1, 8
Let o(j) be the third derivative of 0*j - 1/320*j**6 + 3*j**3 - 1/32*j**5 - 3*j**2 + 18 + 1/8*j**4. Find d such that o(d) = 0.
-4, 3
Suppose 0*g - 22 = -2*b + 2*g, 0 = -2*g. Let n = b - 2. Factor -n + 10*i**2 - 12*i - 4*i**2 + 13*i**3 + 3*i**4 + 2*i**3 - 3*i**3.
3*(i - 1)*(i + 1)**2*(i + 3)
Let f be 660/(-99) + (-762)/(-63). Suppose -f*s - 6*s**2 + 4/7 = 0. What is s?
-1, 2/21
Let l(q) be the third derivative of -12*q**3 - 1/12