 -17161*y**4/7 + 74932*y**3/21 - 3216*y**2/7 + 144*y/7 + 3325. Factor m(j).
-4*(j - 1)*(131*j - 6)**2/7
Let q be 20*(-6)/(-9) - 18/54. Factor q*i**2 + 167 - 170 + 2*i**2 + 4*i**3 + i + 7*i.
(i + 1)*(i + 3)*(4*i - 1)
What is s in 164*s**4 - 13402*s**3 + 160*s**2 + 25986*s**3 - 9*s**5 - 13340*s**3 = 0?
0, 2/9, 8, 10
Let g(a) = 2*a**3 + 9*a**2 + 80*a + 304. Let p be g(-4). Determine c, given that 34/11*c**4 + 30/11*c**2 - 2/11*c**5 - 62/11*c**3 + 0 + p*c = 0.
0, 1, 15
Let q be 22/(((-24)/32)/((-6)/16)). Suppose 130 = -t + q*t. Suppose 12*a**3 - 19*a**2 - 32*a**3 - t*a**2 - 39*a + 55*a = 0. What is a?
-2, 0, 2/5
Let a be 11613/23 + 46/529. Let r = -3529/7 + a. Solve -r*i**2 + 3/7*i**3 - 3/7*i + 6/7 = 0 for i.
-1, 1, 2
Let g be 1/(-35) - 26*122191/(-387660). Suppose -88/3*w + 511/6*w**4 + 6 + 209/2*w**3 + g*w**5 - 47/6*w**2 = 0. Calculate w.
-9, -1, 2/7
Let m(z) be the third derivative of -1/135*z**7 + 13/108*z**4 + 0*z + 0 + 1/30*z**6 - 1/9*z**3 - 11/135*z**5 + 18*z**2 + 1/1512*z**8. Factor m(v).
2*(v - 3)*(v - 1)**4/9
Let z(t) be the third derivative of -t**5/390 + 14*t**4/39 - 640*t**3/39 + 2*t**2 + 206*t - 1. Solve z(c) = 0.
16, 40
Suppose -p - 2*p - g = -41, -50 = -5*p + 2*g. Suppose 4*c = -4*n + p, -c = c. Factor -5 - n*y**2 + 61*y - 22 - 43*y.
-3*(y - 3)**2
Suppose -28 = 34*m - 41*m. Determine y so that -2*y**3 - 21*y**5 + 60*y**m - 20*y - 60*y**2 + 22*y**5 - 3*y**3 + 24*y**5 = 0.
-2, -1, -2/5, 0, 1
Let a(y) = y**3 - 19*y**2 - 19*y + 17. Let t be a(20). Factor -7*v**2 - 4*v - 2*v**2 + t*v**4 - 15*v**4 + 3*v**2 - 20*v**4.
2*v*(v - 2)*(v + 1)**2
Suppose -139/2 + 1/4*i**2 + 137/4*i = 0. What is i?
-139, 2
Let v = 3385/15111 + -3/1679. Factor -v*u**3 + 2/9*u**4 - 10/9*u**2 + 0 - 2/3*u.
2*u*(u - 3)*(u + 1)**2/9
Let q(z) = 21*z**4 + 19*z**3 - 378*z**2 + 22*z. Let x(o) = 4*o**4 + 4*o**3 - 76*o**2 + 4*o. Let s(r) = 2*q(r) - 11*x(r). What is a in s(a) = 0?
-8, 0, 5
Let o(h) be the first derivative of 2/3*h**2 + 2/9*h**3 + 0*h - 32. Suppose o(g) = 0. What is g?
-2, 0
Let i(r) = -17*r + 50. Let c be i(7). Let j = c + 73. Let -2*g**j + 6*g**4 - 14*g**3 + 0 + 2*g**2 - 6 + 14*g + 0 = 0. What is g?
-1, 1/2, 1, 3
Let c be 42/10 + (-79464)/(-24080). Factor c*p**2 + 54 - 36*p - 1/2*p**3.
-(p - 6)**2*(p - 3)/2
Let c = -292 + 278. Let x(r) = 9*r**2 + 160*r + 1595. Let g(v) = -26*v**2 - 480*v - 4786. Let z(w) = c*x(w) - 5*g(w). Let z(i) = 0. Calculate i.
-20
Let m be ((-28)/33 + ((-70)/(-22) - 3))/(1665/(-333)). Factor 26/5 + m*a**2 + 16/3*a.
2*(a + 1)*(a + 39)/15
Suppose -3*s + 24 = q, 80*q + 2*s - 44 = 77*q. Let o(a) be the first derivative of -3/10*a**2 + 1/5*a**3 + 1/5*a - q - 1/20*a**4. Factor o(g).
-(g - 1)**3/5
Let x(w) = -75*w**3 + 8382*w**2 - 1486779*w + 2939979. Let a(h) = -18*h**3 + 2096*h**2 - 371695*h + 734995. Let d(l) = -21*a(l) + 5*x(l). Solve d(t) = 0.
2, 350
Let u(z) be the second derivative of -z**6/1440 - z**5/180 - 5*z**4/288 - z**3/36 - 121*z**2/2 - 128*z. Let f(d) be the first derivative of u(d). Factor f(c).
-(c + 1)**2*(c + 2)/12
Let t(s) be the third derivative of s**2 - 7/60*s**4 + 0*s + 1/300*s**5 + 1/150*s**6 - 13 + 3/10*s**3. Factor t(v).
(v - 1)**2*(4*v + 9)/5
Let t(y) = -y**2 - 6*y - 5. Let c be t(-1). Suppose c = 2*u - 6*u + 28. Factor -4 - a**5 + 12*a - 4*a**2 - u*a**2 - 4*a**4 + a**3 + 7*a**4.
-(a - 2)*(a - 1)**3*(a + 2)
Let u(b) be the second derivative of b**6/1620 + 31*b**5/540 + 5*b**4/18 + b**3/6 + 16*b**2 - 30*b. Let p(l) be the second derivative of u(l). Factor p(i).
2*(i + 1)*(i + 30)/9
Let q(s) be the third derivative of 11*s**8/56 - 38*s**7/105 - s**6/2 + 4*s**5/3 - s**4/4 - 2*s**3/3 - 8*s**2 - 22*s. Solve q(d) = 0 for d.
-1, -2/11, 1/3, 1
Let s(i) be the first derivative of 7/9*i**3 - 59 - 5/6*i**2 - 2/3*i. Factor s(p).
(p - 1)*(7*p + 2)/3
Let c(l) be the first derivative of l**3/3 + 81*l**2/2 - 82*l - 29. Let o(h) = -2*h**2 - 82*h + 84. Let d(s) = 2*c(s) + 3*o(s). Let d(p) = 0. What is p?
-22, 1
Let h(f) = -114*f - 322. Let v be h(14). Let z = v + 1918. Solve z*x + 1/4*x**4 + 0 - x**3 - 1/4*x**2 + x**5 = 0.
-1, -1/4, 0, 1
Let x(n) be the first derivative of -36*n**2 + 0*n - 270 + 1/2*n**4 + 6*n**3. What is b in x(b) = 0?
-12, 0, 3
Let m(a) = -a**4 + 2*a**2 - 2*a + 1. Let z(k) = 17*k**4 + 420*k**3 + 3418*k**2 + 7014*k - 19. Let v(y) = 38*m(y) + 2*z(y). Factor v(i).
-4*i*(i - 218)*(i + 4)**2
Suppose -41*p + 46*p = 3*q + 1773, -3*p + 5*q = -1067. Let a = 356 - p. What is l in -2/3*l**4 - 2/3*l**a + 4/3 + 2*l - 2*l**3 = 0?
-2, -1, 1
Let h be (12/9)/(10/9 + -1). Let y - 20*y - 8*y - 12*y**2 - h + 5*y**3 - 2*y = 0. Calculate y.
-1, -3/5, 4
Suppose 0*o = -o - 25. Let w = -23 - o. Find u such that 2*u**5 + 14*u**4 + 80*u**3 - 20 - 52*u**3 + 4*u**w - 30*u + 2 = 0.
-3, -1, 1
Let d = -16 - -50/3. Suppose -4*m - u + 82 - 73 = 0, -5*m + 3*u + 7 = 0. Factor -2/3*z**4 + 2/3*z**5 - 2/3*z**3 + d*z**m + 0 + 0*z.
2*z**2*(z - 1)**2*(z + 1)/3
Let s = -1432 - -909. Let f = 525 + s. Factor 1/2 - 1/8*w**f - 3/8*w.
-(w - 1)*(w + 4)/8
Let g = 44/10403 + 20410/93627. Factor 0*a + 14/9*a**2 - 26/9*a**3 + 10/9*a**4 + 0 + g*a**5.
2*a**2*(a - 1)**2*(a + 7)/9
Let k be (-8)/42 - (-663442)/86268. Factor -15/2*a**2 - 5/2*a**3 + 0*a + k*a**4 + 2 + 9/2*a**5.
(a + 1)**3*(3*a - 2)**2/2
Let u(n) = -n**3 + 6*n**2 - 2*n - 13. Let b be u(5). Factor 320*t + 55*t**3 + 5*t**4 + 48 - 7 + 119 + 210*t**b.
5*(t + 1)*(t + 2)*(t + 4)**2
Let d(v) be the first derivative of -4*v**5/25 + 6*v**4/5 - 4*v**3/3 - 3335. Find w such that d(w) = 0.
0, 1, 5
Solve 1604*i + 508*i + 7669 + 4*i**2 - 9785 = 0 for i.
-529, 1
Let w(f) be the third derivative of f**6/210 + 2*f**5/21 + 31*f**4/42 + 20*f**3/7 + 3576*f**2. Let w(u) = 0. Calculate u.
-5, -3, -2
Let k(v) = v**3 + 3*v**2 - 9*v + 8. Let h be k(-5). What is f in -41*f + 3*f**2 + 86*f**h - 82*f**3 + 9*f + 5*f**2 = 0?
-4, 0, 2
Let z = 16199/3 - 5398. Let d(m) be the second derivative of 0 + 15*m - 5/2*m**2 - 5/12*m**4 + z*m**3. Factor d(x).
-5*(x - 1)**2
Let m be 6 - (-28)/35*-5. Factor -72*s + 44*s**3 - 52*s**m - 73*s + 153*s.
4*s*(s - 1)*(11*s - 2)
Let f(g) = -10*g**2 + 13525*g - 9153065. Let l(x) = x**2 + x + 4. Let j(d) = -f(d) - 5*l(d). Suppose j(k) = 0. What is k?
1353
Let x = 762668 - 762665. Factor 2/3 + n**x - 1/3*n**2 - 1/3*n**4 - n.
-(n - 2)*(n - 1)**2*(n + 1)/3
Let d = 90 + -88. Suppose d*x + 99 = 11*x. Factor x - 16 - 24*q**2 - 20*q + 5 - 4*q**3.
-4*q*(q + 1)*(q + 5)
Let d = 829 + -837. Let p be (28/35)/(d/(-20)) - 0. Determine n, given that 2 + n - 1/4*n**3 - 1/2*n**p = 0.
-2, 2
Let k = 536855 - 536853. Solve 0 + 8/11*i**3 + 46/11*i**k - 12/11*i = 0.
-6, 0, 1/4
Suppose -4*i - 2*v - 39 + 309 = 0, -4*i - v + 267 = 0. Factor -3*k**2 + 6 - 27 - 19 - i*k - 80.
-3*(k + 2)*(k + 20)
Factor -64/19 - 8/19*d + 2/19*d**2.
2*(d - 8)*(d + 4)/19
Let v = -4/1113 - -6/265. Let k = 188/1155 + v. What is a in 8/11 - 16/11*a + 2/11*a**2 - k*a**4 + 10/11*a**3 - 2/11*a**5 = 0?
-2, 1
Factor -366*v**2 - 22 + 361*v**2 - 58 - 50*v.
-5*(v + 2)*(v + 8)
Let f(r) be the first derivative of 4*r**5/5 - 132*r**4 + 18872*r**3/3 - 45864*r**2 - 111132*r + 4991. Factor f(s).
4*(s - 63)**2*(s - 7)*(s + 1)
Let j(q) be the second derivative of 36*q - 22/9*q**2 + 0 + 5/21*q**7 + 127/27*q**3 - 73/27*q**4 + 56/45*q**6 - 86/45*q**5. What is m in j(m) = 0?
-22/5, -1, 1/3, 1
Let k = -66597/13 - -5123. What is i in -4/13*i**2 + 0 - 16/13*i + k*i**3 = 0?
-2, 0, 4
Determine w so that -1260/13*w**2 + 54/13*w + 1890/13 - 2/13*w**5 - 86/13*w**4 - 596/13*w**3 = 0.
-35, -3, 1
Let 69*i**2 - 393/2*i - 3/2*i**3 + 129 = 0. What is i?
1, 2, 43
Let x(t) = -9*t**4 - 14*t**3 + 167*t**2 + 352*t + 180. Let g(r) = -2*r**4 - r**3 + r**2. Let n(u) = 4*g(u) - x(u). Factor n(d).
(d - 10)*(d + 1)**2*(d + 18)
Let z = -6 - -14. Suppose -25*p = -10*p - 900. Factor 0*o - 9*o - z*o - p*o**2 - 27*o**3 + 5*o.
-3*o*(o + 2)*(9*o + 2)
Let t be ((-140)/(-25))/7*(-7483)/(-42). Let r = t - 711/5. Factor 1/2*x**2 + 1/6*x + r*x**3 + 0.
x*(x + 1)*(2*x + 1)/6
Let o(v) = -v**2 - 128*v - 955. Let m be o(-8). Let r(h) be the third derivative of 1/40*h**6 + 0*h**3 - 22*h**2 + 0 + 0*h**4 + 1/10*h**m + 0*h. Factor r(q).
3*q**2*(q + 2)
Let z(w) be the third derivative of 0*w + 2/15*w**5 + 1/21*w**7 + 0*w**4 + 0*w**3 + 1/168*w**8 + w**2 - 21 + 2/15*w**6. Find i such that z(i) = 0.
-2, -1, 0
Let v = -404