- 2136/13 = 0.
1, 2, 534
Let g(t) = 24*t**2 + 2*t - 2. Let d(k) = k**3 - 97*k**2 - 9*k + 9. Let z be -21 - (-4 - 6/(-6)). Let o(q) = z*g(q) - 4*d(q). Let o(m) = 0. Calculate m.
-11, 0
Factor -8/7*w**2 + 94/7*w**4 + 0*w - 86/7*w**3 + 0.
2*w**2*(w - 1)*(47*w + 4)/7
Let w be (-35)/(-11) - 34/187. Determine g so that g**2 - 4*g**4 + 0*g**4 - 5*g**3 + 3*g**4 + w*g**5 + 2*g + 0*g**2 = 0.
-1, -2/3, 0, 1
Let z(s) be the third derivative of -s**8/1008 + s**7/630 + s**6/120 - s**5/180 - s**4/36 - 257*s**2 - 1. Suppose z(b) = 0. Calculate b.
-1, 0, 1, 2
Suppose 0 = -2*q - 0*q - 4*o + 70, 3*o - 93 = -3*q. Let v = -12 + q. Factor 147*f**2 - 152*f**2 - v*f + 2 - 12.
-5*(f + 1)*(f + 2)
Factor -1/2*l**2 + 66*l - 387/2.
-(l - 129)*(l - 3)/2
Suppose 0 = -5*h - 4*u - 16, 377 - 340 = -2*h - 5*u. Determine k, given that -2/9*k**h + 0*k**2 + 0 + 14/9*k**3 + 0*k = 0.
0, 7
Let d(q) be the second derivative of -q**7/5040 + q**6/180 - q**5/16 - 14*q**4 - 2*q - 8. Let m(z) be the third derivative of d(z). Let m(l) = 0. What is l?
3, 5
Suppose -4*v = 4*x + 8, 8*v + 6 = 13*v - 3*x. Let i be ((-1)/(-5))/(1 + v/(-7)). Solve 0 - 1/5*w + 2/5*w**3 + i*w**2 = 0.
-1, 0, 1/2
Let u(o) be the second derivative of -2*o**7/105 + o**6/30 - o**5/60 - 14*o**2 - 21*o. Let k(f) be the first derivative of u(f). Factor k(b).
-b**2*(2*b - 1)**2
Let 108/17 + 106/17*y - 2/17*y**2 = 0. Calculate y.
-1, 54
Let x = -613/60 + 103/10. Let n(b) be the third derivative of 0 + 0*b + x*b**5 + 0*b**4 + 0*b**3 + 3*b**2 - 5/336*b**8 - 1/42*b**7 + 1/24*b**6. Factor n(v).
-5*v**2*(v - 1)*(v + 1)**2
Factor -230/11*z - 36/11 + 26/11*z**2.
2*(z - 9)*(13*z + 2)/11
Let s = 1250/21 - 412/7. Let j(i) be the second derivative of 0 + 2*i**2 + 1/5*i**5 - s*i**3 + 13*i - 1/3*i**4. Determine b so that j(b) = 0.
-1, 1
Suppose 18*b + 14 - 302 = 0. Suppose b*w = 5*w + 22. Factor -3 + 3*n - 3/4*n**w.
-3*(n - 2)**2/4
Let u(q) = -q**2 + q + 2. Let o be u(-1). Suppose -w + 5 = 2*k, 2*w + k = -o*k + 7. Factor w*a**2 - 8*a**2 - 1 + 4*a + 2*a + 0.
-(a - 1)*(5*a - 1)
Let u(v) be the first derivative of 0*v + 2/5*v**5 + 0*v**4 - 70 - 6*v**2 - 14/3*v**3. Factor u(q).
2*q*(q - 3)*(q + 1)*(q + 2)
Suppose -5*z - 4*t = -7, -3*t - 7 - 11 = -4*z. Factor 46*d - 2*d**2 - 58*d**3 - 14*d - 6*d**2 + 54*d**z.
-4*d*(d - 2)*(d + 4)
Suppose 76523*j = 76541*j - 54. Let k(m) be the second derivative of -2*m**j + 42*m**2 + 13*m + 1/28*m**4 + 0. Factor k(a).
3*(a - 14)**2/7
Let b(m) = 2*m**2 - m - 4. Let r(d) = 3*d**2 + 276*d - 3936. Let k(y) = 4*b(y) - r(y). Factor k(s).
5*(s - 28)**2
Let l(c) be the first derivative of 0*c - 69/14*c**4 - 200 + 7*c**2 - 2/7*c**5 - 22*c**3. Determine m, given that l(m) = 0.
-7, 0, 1/5
Suppose -478*t - 57*t = -1605. Let 0*u - 3/5*u**t - 48/5*u**2 + 0 = 0. Calculate u.
-16, 0
Suppose -65*s = -44*s - 5565. Factor -6*n**2 - 98*n**2 - 15*n**4 - 66*n**2 - s*n**3.
-5*n**2*(n + 17)*(3*n + 2)
Suppose -3 = -l - 0*l. Let c be (-324)/(-36)*(-1)/(-6). Factor -3/4*q**l + c - 3/2*q**2 + 3/4*q.
-3*(q - 1)*(q + 1)*(q + 2)/4
Suppose 25*g - 465 = -140. Determine k, given that -24 - 387*k**3 + 26*k**4 + 12*k + g*k**2 + 163*k**4 - 4*k**2 + 201*k**2 = 0.
-2/7, 2/3, 1
Let j(m) = 55*m**4 - 90*m**3 - 42*m**2 + 22*m + 11. Let a(f) = -f**4 - 4*f**3 - 2*f**2 + 2*f + 1. Let r(b) = -11*a(b) + j(b). Solve r(z) = 0 for z.
-10/33, 0, 1
Let z be 0/(-3 - -8 - 6). Let l(b) be the first derivative of 0*b + 0*b**2 + 0*b**4 + 6/5*b**5 + 1/3*b**6 + 19 + z*b**3. Factor l(k).
2*k**4*(k + 3)
Let j(n) be the third derivative of -7/8*n**4 + 0 + 1/4*n**3 + n**2 - 3/8*n**5 + 3*n. Factor j(y).
-3*(y + 1)*(15*y - 1)/2
Let a be (2358/(-12))/((-1)/2). Suppose -404*b + 110 = -a*b. Factor -5/2*q**3 - b*q**2 + 10 + 5/2*q.
-5*(q - 1)*(q + 1)*(q + 4)/2
Let s(d) be the first derivative of 72 + 0*d + 24*d**2 + 8*d**4 + 76/3*d**3 + 4/5*d**5. Factor s(b).
4*b*(b + 1)*(b + 3)*(b + 4)
Let a(m) be the first derivative of m**4/54 + 7*m**3/27 + 10*m**2/9 - 8*m + 65. Let n(v) be the first derivative of a(v). Factor n(x).
2*(x + 2)*(x + 5)/9
Let f(k) = 2*k**3 - 14*k**2 - 18*k + 16. Let h be f(8). Suppose -47*l + 58*l - 33 = h. Factor 2/21*z**2 + 0*z + 0 - 2/21*z**l.
-2*z**2*(z - 1)/21
Factor 1/10*r**2 + 644/5*r + 0.
r*(r + 1288)/10
Let x = -2768 + 2770. Let v be ((-6)/63)/((-10)/140). What is m in -1 + v*m - 1/3*m**x = 0?
1, 3
Let s(a) be the third derivative of a**8/3360 - a**7/1260 - a**6/72 - a**5/20 - 43*a**4/24 + a**2 + 3. Let w(f) be the second derivative of s(f). Factor w(x).
2*(x - 3)*(x + 1)**2
Suppose -931/5*n + 932/5 - 1/5*n**2 = 0. Calculate n.
-932, 1
Suppose -20*r - 2*d + 14 = -18*r, 2*d = 4*r - 16. Let x(l) be the third derivative of 0 - 1/3*l**4 + 19*l**2 + 0*l + 1/45*l**r + 2*l**3. Solve x(h) = 0.
3
Let o(a) be the third derivative of 1/280*a**7 + 40*a**2 + 0 + 3/8*a**4 + 0*a + 13/80*a**5 + 3/80*a**6 + 1/2*a**3. Factor o(p).
3*(p + 1)**2*(p + 2)**2/4
Suppose 0 = w + 3*w - 5*m + 41, 2*m - 38 = 4*w. Let l(q) = -q**2 - 6*q + 31. Let j be l(w). Factor j*y + y + 5*y**2 + 5*y**3 + 5*y**2.
5*y*(y + 1)**2
Suppose 0 = -v, o + 4*v = 5 + 10. Suppose 2*g = 21 - o. Solve -352 + 352 - 4*t**g - 8*t**2 - 4*t = 0.
-1, 0
Let v(t) be the second derivative of 3*t**7/98 + 11*t**6/10 + 42*t**5/5 - 342*t**4/7 + 8*t**3 + 168*t**2 - 3942*t. Suppose v(f) = 0. Calculate f.
-14, -2/3, 1, 2
Determine f, given that 252*f + 318*f**2 + 163*f**5 + 111*f**3 - 209*f**5 + 54*f**2 + 43*f**5 - 12*f**4 = 0.
-7, -2, -1, 0, 6
Let a(x) = -27*x**3 - 3*x**2 - 32*x - 21. Let y(w) = -4*w**3 - w**2 - w + 1. Let t(p) = -5*a(p) + 35*y(p). Suppose t(v) = 0. Calculate v.
-7, -1, 4
Factor -10/9*n**2 - 2104/9*n - 280/3.
-2*(n + 210)*(5*n + 2)/9
Let v(i) = 3*i**3 - 13*i**2 - 6*i + 5. Let l(z) = 3*z**3 - 15*z**2 - 6*z + 6. Let k = 873 - 867. Let t(o) = k*v(o) - 5*l(o). Factor t(c).
3*c*(c - 2)*(c + 1)
Find u such that -63*u**3 + 10422 + 3*u**5 - 222*u**2 + 51*u**4 - 63*u**3 + 123*u - 10251 = 0.
-19, -1, 1, 3
Let f be ((-3)/(300/(-70)))/(25/(1000/224)). Factor 0 + 0*u**3 + 0*u - f*u**4 + 1/2*u**2.
-u**2*(u - 2)*(u + 2)/8
Determine x, given that 121/6*x**2 - 1/2*x**4 + 353/6*x**3 - 59/3 - 353/6*x = 0.
-1, -1/3, 1, 118
Let w(v) be the third derivative of -v**4 + 13/20*v**5 + 0 - 3/40*v**6 - 6*v**3 + 0*v + 12*v**2. Factor w(z).
-3*(z - 3)*(z - 2)*(3*z + 2)
Let r(c) be the third derivative of c**6/240 + 19*c**5/120 - 119*c**4/24 + 98*c**3/3 + 3583*c**2. Factor r(y).
(y - 7)*(y - 2)*(y + 28)/2
Let f(s) = -8*s**4 - 2*s**3 + 8*s**2 - 8*s. Let w = 205 - 204. Let h(n) = n**4 + n**3 - n**2 + n. Let b(x) = w*f(x) + 5*h(x). Determine l, given that b(l) = 0.
-1, 0, 1
Suppose 9*l - 11 - 16 = 0. Suppose -l*t + t = 0. Determine q, given that 5*q**3 + 2*q + t*q - 5*q**2 - q**3 - q**4 = 0.
0, 1, 2
Let n(q) be the third derivative of q**7/210 - 17*q**5/60 + 8*q**3/3 + 226*q**2 - 2. Suppose n(y) = 0. Calculate y.
-4, -1, 1, 4
Let c be (0 - 10)/((-5)/15*1). What is o in 29*o**3 + 4*o**3 + 5*o**2 - 5*o**4 + 2*o**3 - c*o - 5*o**3 = 0?
-1, 0, 1, 6
Let n = 51499 + -51497. Let 128/3*u**5 + 1688/3*u**3 - 1120/3*u**4 + 184/3*u - 14/3 - 866/3*u**n = 0. What is u?
1/4, 1, 7
Find j such that 4*j**4 + 57600 + 231*j**2 + 152*j**3 + 253*j**2 + 11390*j - 29630*j = 0.
-24, 5
Let j(c) be the second derivative of -c**8/60480 + c**7/3780 + c**6/180 - c**5/5 + 77*c**4/12 - 95*c. Let s(w) be the third derivative of j(w). Factor s(r).
-(r - 6)**2*(r + 6)/9
Let a(o) be the third derivative of o**5/12 + 335*o**4/24 + 4*o**2 + 34. Factor a(b).
5*b*(b + 67)
Let r(k) = 3*k**5 + 2*k**4 - 8*k**3 + 2*k**2 + 7*k - 2. Let v(a) = 19*a**5 + 12*a**4 - 48*a**3 + 12*a**2 + 42*a - 11. Let b(f) = -39*r(f) + 6*v(f). Factor b(z).
-3*(z - 1)**3*(z + 1)*(z + 4)
Let v(a) be the second derivative of -a**6/6 - 55*a**5/4 - 3335*a**4/12 + 4205*a**3/2 - 7*a - 38. Let v(p) = 0. Calculate p.
-29, 0, 3
Let q be (6 + 4)/(9 - (-3650)/(-600)). Find t such that -2/7*t**2 + q*t - 40/7 = 0.
2, 10
Suppose 8 - 6 = -b - 3*k, 5*k + 6 = -b. Factor 0 - 589*q**5 + 593*q**5 + 0 + b*q**4.
4*q**4*(q + 1)
Let l = -637/3 - -217. Let r = -84535 + 84539. Factor l*f + r - 2*f**2.
-2*(f - 3)*(3*f + 2)/3
Let j be (-1767 - -1768)/((-1)/(-2)). Factor 2/7*f**j - 4*f + 0.
2*f*(f - 14)/7
Let a(p) be the first derivative of -p**7/280 - p**6/40 - 3*p**5/40 - p**4/8 + 3*p**3 + p**2/2 + 65. Let g(q) be the third deriv