2 + 8 + 0*p**3 + 0*p - 1/2*p**4 - 2/5*p**5. Find w, given that y(w) = 0.
-1, 0
Find j, given that -253/4*j - 585/4*j**4 - 489/2*j**2 - 21/4 - 653/2*j**3 - 25/4*j**5 = 0.
-21, -1, -1/5
Let a(y) be the third derivative of y**5/75 - 5*y**4/36 + 4*y**3/45 + 6*y**2 - 87*y. Factor a(q).
2*(q - 4)*(6*q - 1)/15
Solve 2/5*k**2 + 0 - 2/5*k = 0 for k.
0, 1
Let o = 318 - 316. Let -106*i + 320 + 5*i**o + 8925 - 199*i - 125*i = 0. What is i?
43
Factor 27/2*v**2 - 3 - 59/4*v + 17/4*v**3.
(v - 1)*(v + 4)*(17*v + 3)/4
Let c(w) be the second derivative of -26/27*w**3 - 3*w**2 + 174*w + 1/54*w**4 + 0. What is r in c(r) = 0?
-1, 27
Determine n, given that -927*n**4 + 3*n**5 + 2802*n + 1244 - 945*n**2 - 313 + 1859*n**3 - 4664*n**3 + 1188 - 247 = 0.
-2, -1, 1, 312
Suppose -3*n + 1 = -5*l, 3*n - 2 = -l + 5*l. Let c = 3596 + -32342/9. Factor 2/9*r**3 - 4/3*r**n + c*r - 4/3.
2*(r - 3)*(r - 2)*(r - 1)/9
Let n(i) = 3*i**2 - 5*i + 20. Let j be n(4). Determine l so that 4*l**2 + l**2 - 33*l**3 - 25*l**3 + j*l**3 + 5*l**4 = 0.
0, 1
Suppose -16*s - 51 = -19*s. Suppose s*k**3 + 3*k**4 - 27*k**3 + 8*k**3 - k**5 = 0. Calculate k.
0, 1, 2
Suppose 5*a**3 - 202*a**2 - 420 + 3139*a + 102*a**2 - 2624*a = 0. Calculate a.
1, 7, 12
Let 27/8*g**3 - 39/2*g**2 + 83/2*g - 30 - 1/8*g**4 = 0. What is g?
2, 3, 20
Let r(a) be the first derivative of -a**4/20 - 4*a**3/15 + 58*a**2/5 + 48*a - 10566. Factor r(h).
-(h - 10)*(h + 2)*(h + 12)/5
Factor -146*f**2 - 2172/5*f - 61/5*f**3 + 72/5.
-(f + 6)**2*(61*f - 2)/5
Let n(u) = u**3 - 22*u**2 - u + 3. Let l(s) = 8*s**3 + 2264*s**2 - 2404*s + 18. Let h(j) = l(j) - 6*n(j). Factor h(o).
2*o*(o - 1)*(o + 1199)
Suppose 0 = -2*p - 3*p - 1510. Let b = p + 302. Factor 1/3*r**3 + b*r + 0 - 2/3*r**2.
r**2*(r - 2)/3
Let t(n) = -n**4 + n**3 + n**2 - n. Let o(d) be the first derivative of 3*d**5/5 + 7*d**4/4 - d**3 - 7*d**2/2 + 14. Let q(p) = o(p) - 2*t(p). Factor q(m).
5*m*(m - 1)*(m + 1)**2
Let c(u) be the first derivative of -u**8/224 + u**7/105 - u**6/240 + u**2 - 4*u - 68. Let x(q) be the second derivative of c(q). Factor x(y).
-y**3*(y - 1)*(3*y - 1)/2
Let i be -5*2/(-20)*-8. Let h be (9 - 17 - -11)*i/(-27). Solve -h - 8/9*z - 4/9*z**2 = 0.
-1
Let r(n) be the second derivative of 5*n**7/126 - n**6/9 - 15*n**5/4 - 355*n**4/18 - 430*n**3/9 - 60*n**2 - 2101*n. Factor r(d).
5*(d - 9)*(d + 1)*(d + 2)**3/3
Let k = 69 - 59. Suppose -k - 2 = -3*l. Factor 32*j**4 - 26*j**2 + 10*j**2 - 28*j**l.
4*j**2*(j - 2)*(j + 2)
Let s(g) be the third derivative of 3*g**7/350 + 101*g**6/200 - 107*g**5/100 - 101*g**4/40 + 52*g**3/5 - 27*g**2 + 4*g. Determine d so that s(d) = 0.
-104/3, -1, 1
Let p be 2/(-4)*2 - -28. Let x(k) = -24*k - 94. Let b be x(-4). Solve 7*a**2 + p - 13 - 64*a + 16*a**3 - 3*a**b - 30 = 0.
-2, -1/4, 2
Let q(t) = 264*t**2 - 17841*t + 17850. Let v(o) = -25*o**2 + 1784*o - 1785. Let p(j) = 2*q(j) + 21*v(j). Find z such that p(z) = 0.
-595, 1
Suppose 0 = 4*k - h - 0 + 125, -h = 5*k + 145. Let b = k - -32. Factor -30 + q**2 + 30 - b*q**2 - 2*q.
-q*(q + 2)
Suppose -5*p - 15 = -q - 4*q, -p - 1 = 0. Factor -34*z**2 + 75*z**q + 202*z - 26*z + 1936 - 37*z**2.
4*(z + 22)**2
Let z be (-23808)/(-155) + (1 - (-6)/(-10)). Let u be 336/(-96)*(-40)/z. Factor 0 - 8/11*a**3 - u*a**2 - 2/11*a**4 - 4/11*a.
-2*a*(a + 1)**2*(a + 2)/11
Let m(y) be the third derivative of y**8/504 + y**7/315 - y**6/60 - y**5/90 + y**4/18 + 1501*y**2. Determine q, given that m(q) = 0.
-2, -1, 0, 1
Let u(c) be the second derivative of -8/13*c**2 + 0 - 1/130*c**5 - 158*c - 14/39*c**3 - 7/78*c**4. Factor u(o).
-2*(o + 1)*(o + 2)*(o + 4)/13
Let c = -165 - -170. Let z(f) be the first derivative of 0*f - c*f**2 - 31 - f**5 - 25/3*f**3 - 5*f**4. Solve z(b) = 0.
-2, -1, 0
Let u(b) be the third derivative of 0*b**5 - 10 + 0*b**3 + 0*b**4 - 11/70*b**7 + 1/4*b**6 + 1/112*b**8 + 0*b + 5*b**2. Factor u(f).
3*f**3*(f - 10)*(f - 1)
Let w(u) be the second derivative of -u**6/105 - 60*u**5/7 - 15000*u**4/7 + 37*u - 11. Factor w(p).
-2*p**2*(p + 300)**2/7
Let q(k) be the second derivative of -1/9*k**3 - 42*k - 4/3*k**2 + 1/30*k**5 + 2/9*k**4 + 0. Factor q(o).
2*(o - 1)*(o + 1)*(o + 4)/3
Let b(o) be the second derivative of -20*o - 1014/5*o**2 + 26/5*o**3 + 0 - 1/20*o**4. Factor b(g).
-3*(g - 26)**2/5
Let -341*x**3 - 536*x - 994*x**2 + 19*x**5 + 27 - 115 - 214*x**4 - 33*x**5 - 405*x**3 = 0. Calculate x.
-11, -2, -1, -2/7
Let z(j) be the third derivative of -j**7/15 + 73*j**6/60 - 71*j**5/15 + 4*j**4 + 3531*j**2. Factor z(f).
-2*f*(f - 8)*(f - 2)*(7*f - 3)
Let n(i) be the first derivative of 2*i**3/9 + 230*i**2/3 + 5139. Factor n(d).
2*d*(d + 230)/3
Let p = -25016/123 - -17183/82. Determine j, given that -1/3*j**3 - 10/3 - p*j**2 + 59/6*j = 0.
-20, 1/2, 1
Let r(x) be the first derivative of x**5 - 5*x**4/2 - 115*x**3/3 + 60*x**2 + 720*x + 6373. Determine i so that r(i) = 0.
-3, 4
Let s(f) be the third derivative of -1/3024*f**8 - 68 - 11/1080*f**6 + 1/18*f**4 + 1/315*f**7 - 4/27*f**3 + 1/270*f**5 + 0*f + f**2. Find y such that s(y) = 0.
-1, 1, 2
Let f(h) = -27*h**3 - 324*h**2 + h + 15. Let m be f(-12). Determine b, given that 1/9*b**5 + 0*b + 0 + b**4 - 25/9*b**2 + 5/3*b**m = 0.
-5, 0, 1
Let y = -603 - -606. Let l be (y - -33)/(-6) - 80/(-12). Factor l*v**2 + 5/3*v + 2/3.
(v + 2)*(2*v + 1)/3
Let y be (-7 - (-148)/48) + (-12)/(-3). Let m(v) be the third derivative of 5/6*v**4 + 0*v + 6*v**2 + 0 - 5/2*v**3 - y*v**5. Factor m(i).
-5*(i - 3)*(i - 1)
Let z be (846/(-235))/(2/(-10)). Determine u, given that -7 - z*u**2 - 29*u**3 - 2*u - 18*u + 22*u**3 - u**4 - 1 = 0.
-2, -1
What is l in -29264*l**3 + 29306*l**3 - 5 - 34*l - 6*l**4 + 26*l**4 + 6*l**2 - 13 = 0?
-1, 9/10
Let m(y) be the first derivative of y**6/10 + 18*y**5/5 + 46*y**4 + 240*y**3 + 600*y**2 + 101*y + 13. Let g(x) be the first derivative of m(x). Factor g(z).
3*(z + 2)**2*(z + 10)**2
Let n(t) = 2*t - 2. Let p be n(10). Let a be 83/9 + -3 + 50/p. Factor 2*k**4 - k - 23*k + k**4 - a - 18*k**2.
3*(k - 3)*(k + 1)**3
Let w = -62 - -68. Suppose 54*z**4 - 59*z**2 - 15*z**5 - 66*z**3 + 146*z**2 - 63*z**2 - w + 9*z = 0. Calculate z.
-2/5, 1
Let v(g) be the first derivative of -g**6/18 + 4*g**5/3 - 59*g**4/6 + 20*g**3 - 27*g**2/2 + 1378. Determine f, given that v(f) = 0.
0, 1, 9
Find m, given that -19*m + 3*m - 3*m + 40*m**2 + 8*m**4 + 61*m**3 + m**4 + 7*m = 0.
-6, -1, 0, 2/9
Let v be ((-14)/(-154))/(5/165). Let p(s) be the second derivative of 16*s + 1/20*s**5 + 5/6*s**v + 0 - s**2 - 1/3*s**4. Determine h, given that p(h) = 0.
1, 2
Let g(d) be the first derivative of 3*d**5/32 - 23*d**4/32 - 5*d**3/8 + 3*d + 72. Let m(w) be the first derivative of g(w). Factor m(b).
3*b*(b - 5)*(5*b + 2)/8
Factor 4/7*v**3 + 0 + 640/7*v + 328/7*v**2.
4*v*(v + 2)*(v + 80)/7
Let o be (7/(-15) + 7/(-35))*111/(-333). Suppose -11/9*t**3 - 4/9*t + 2*t**2 - 8/9 + o*t**4 = 0. Calculate t.
-1/2, 2
Suppose -3*z + 0*l + 17 = -l, -2*z - 3*l - 7 = 0. Let j be z/(0 + -20) + 32/10. Factor 4*c**3 - 73*c**4 + 8*c**j + 70*c**4 - 9*c**2 - 12*c + 12.
-3*(c - 2)**2*(c - 1)*(c + 1)
Suppose 3/7*r**2 - 4533/7*r + 0 = 0. What is r?
0, 1511
Suppose -2*g + 2*z + 15 = g, -5*g = 4*z - 3. Find x such that -6*x**3 + 21*x**g + 9*x**4 + 13*x - 9*x**2 - 16*x - 12*x**5 = 0.
-1, -1/4, 0, 1
Factor -19/10*s - 1/10*s**3 + 29/10*s**2 - 3249/10.
-(s - 19)**2*(s + 9)/10
Let k(n) be the first derivative of 3*n**4/2 - 171*n**3/2 + 435*n**2/2 - 369*n/2 - 4147. Factor k(h).
3*(h - 41)*(h - 1)*(4*h - 3)/2
Suppose 0 = 5*y - 5854*b + 5855*b - 22, 38 = y + 3*b. Determine f so that 4 - 70/3*f + 280/9*f**y - 2*f**5 - 20/3*f**4 + 100/9*f**3 = 0.
-3, 1/3, 2
Let v be ((-27)/63)/((3173/(-532) - -6)*-18). Factor v*q**4 + 4/3*q**3 + 0*q + 0 + 0*q**2.
2*q**3*(q + 2)/3
Find t, given that -22576/21*t**2 - 19652/7 - 2/21*t**5 - 820/7*t**3 - 116/21*t**4 - 79186/21*t = 0.
-17, -6, -1
Let l be 3/(-45)*(96/80)/((-6)/45). Factor -18/5 - 3*t - l*t**2.
-3*(t + 2)*(t + 3)/5
Let x(t) be the first derivative of -t**3/9 + 1274*t**2/3 - 1623076*t/3 + 8877. What is v in x(v) = 0?
1274
Suppose -9465216 + 5024*f - 2/3*f**2 = 0. Calculate f.
3768
Suppose 4920*b = -2572*b + 22476. Suppose -64/11*d**4 + 0 + 24/11*d - 8/11*d**2 - 82/11*d**b - 14/11*d**5 = 0. What is d?
-2, -1, 0, 3/7
Let l(k) be the second derivative of 0 - 50*k + 1/96*k**4 + 361/16*k**2 + 19/24*k