. Factor 2/9*z**2 + 16/9 + f*z.
2*(z + 1)*(z + 8)/9
Suppose 346/5*q - 108*q**2 - 66/5 - 6/5*q**5 + 60*q**3 - 34/5*q**4 = 0. What is q?
-11, 1/3, 1, 3
Let v(h) be the second derivative of 0*h**2 - 4*h - 5/12*h**4 + 2 + 115/6*h**3. Factor v(k).
-5*k*(k - 23)
Let j be (-7 - 1) + (-69 - -120). Suppose j + 13 = 28*m. Factor 3/2*q - 3/8*q**4 + 15/8*q**3 - 3*q**m + 0.
-3*q*(q - 2)**2*(q - 1)/8
Let q be (1155/(-88) - -13)*-5. Let d be (-11)/(-2) - (7 + -10 + 8). Solve 1/8*j**2 + d - q*j = 0 for j.
1, 4
Let z(t) be the first derivative of 2*t**5/35 - 5*t**4 + 1144*t**3/7 - 17914*t**2/7 + 136214*t/7 + 1492. Solve z(x) = 0.
13, 31
Let s = 2/513 + 4/57. Let x(m) be the first derivative of 5/9*m**2 + 8 + s*m**3 - 5/18*m**4 - 2/9*m. Let x(c) = 0. Calculate c.
-1, 1/5, 1
Let 7784*r + 3120 + 272056088*r**4 - 272056094*r**4 + 176*r**3 + 966*r**3 + 5420*r**2 = 0. Calculate r.
-2, -2/3, 195
Suppose -537 = -8*o + 511. Let b = -111 + o. Factor -12*r**3 - b*r**3 - 4*r**4 + 4*r**2 + 28*r**3 + 4*r**5.
4*r**2*(r - 1)**2*(r + 1)
Let m(b) = -2*b**4 + 331*b**3 + 3141*b**2 - 20*b - 10. Let c(k) = 2*k**4 - 165*k**3 - 1571*k**2 + 12*k + 6. Let w(t) = 5*c(t) + 3*m(t). What is i in w(i) = 0?
-28, -14, 0
Let w(d) be the third derivative of -d**7/420 + 37*d**6/240 - 17*d**5/60 - 3*d**4/2 + 12*d**2 + 185. Solve w(t) = 0.
-1, 0, 2, 36
Let b(z) = -z**2. Let x(k) = 20*k**2 + 8*k + 140. Let r(c) = 24*b(c) + x(c). Factor r(q).
-4*(q - 7)*(q + 5)
Let m(v) = v**3 + 3*v**2 + v + 9. Let n be m(-3). Let d be 15/n*(-16)/(-10). Let 24*w + 5*w**4 - 16 - d*w**2 + 9*w**4 + 0 - 6*w**3 - 12*w**4 = 0. Calculate w.
-2, 1, 2
Let s(n) be the first derivative of -n**8/420 - n**7/210 + n**6/15 + 2*n**3 + 2*n + 167. Let u(g) be the third derivative of s(g). Factor u(q).
-4*q**2*(q - 2)*(q + 3)
Let g(w) = -162*w**2 - 6*w + 5. Let m be g(0). Determine b so that -4/5 - 1/5*b**4 + 4/5*b - b**3 + 1/5*b**m + b**2 = 0.
-2, -1, 1, 2
Determine p so that -266*p - 132*p + 42 - 246*p**2 - 239*p + 228*p**3 + 442*p - 33*p**5 + 204*p**4 = 0.
-1, 2/11, 1, 7
Let d be 3 + 885/(-150) - 3/((-3)/3). Factor d*a + 2/5*a**2 - 1/10*a**3 - 2/5.
-(a - 4)*(a - 1)*(a + 1)/10
Let x(g) be the second derivative of g**5/10 - 5*g**4/4 + g**3 + 9*g**2/2 + 10*g - 4. Let w be x(7). Determine r, given that 5 + 3/2*r**w + 17/2*r = 0.
-5, -2/3
Let c be (1176/(-48))/(14/(-4)). Suppose -c*g**2 - 16/3*g - 3*g**3 - 4/3 = 0. What is g?
-1, -2/3
Let m(r) = 2*r**3 - 4*r**2 + 2*r + 3. Let y(w) = 16*w**3 + 126*w**2 - 148*w - 30. Let j(l) = -12*m(l) - y(l). Find c such that j(c) = 0.
-3, 1/20, 1
Let i = -139 - -141. Factor -4*o**i + 10*o**2 - 4*o + 8 - 10*o**2 + 0.
-4*(o - 1)*(o + 2)
Let c(g) = -22*g**2 + 144. Let s(x) = -5*x**2 + x + 36. Let i(b) = 2*c(b) - 9*s(b). Factor i(o).
(o - 12)*(o + 3)
Let i = 10868415/6721 - -5485/517. Solve i*x + 136/13*x**3 - 2/13*x**4 - 3036/13*x**2 + 24334/13 = 0.
-1, 23
Let o be (2 - (-1 + 3)) + 30. Suppose -7904*j - 39 = -7907*j. Find f such that -27*f + 4*f + 12 + j*f - o*f + 12*f**2 = 0.
1/3, 3
Let l(a) be the second derivative of -a**4/54 + 208*a**3/9 + 625*a**2/9 - a - 4615. Find u such that l(u) = 0.
-1, 625
Find i such that 1/4*i**3 + 87/4 + 119/4*i + 33/4*i**2 = 0.
-29, -3, -1
Let y = 288 + -187. Let q = y + -99. Find l such that -3*l - 3*l**3 - l**q + 5*l + 0*l**4 - 4*l**5 + l**4 + 5*l**5 = 0.
-2, -1, 0, 1
Determine i, given that 48*i - 1641*i**2 + 90*i**3 + 72*i + 1876*i**2 - 5*i**4 + 20*i**3 = 0.
-1, 0, 24
Let h(z) be the first derivative of z**4/4 + 8*z**3/9 - 11*z**2/2 + 10*z/3 + 1070. Let h(i) = 0. Calculate i.
-5, 1/3, 2
Find q, given that 4800 + 6787*q + 3*q**4 + 20926*q**2 + 246*q**3 - 15643*q**2 + 3053*q = 0.
-40, -1
Let c(y) = 2*y**2 - y - 15. Let g(s) = 9*s**2 + 266*s - 879. Let d(r) = 4*c(r) - g(r). Factor d(l).
-(l - 3)*(l + 273)
Suppose -2/17*n + 0 + 14/17*n**2 + 16/17*n**3 = 0. Calculate n.
-1, 0, 1/8
Let v(r) be the second derivative of r**4/32 + 5*r**3/4 + 57*r**2/16 - 39*r. Factor v(j).
3*(j + 1)*(j + 19)/8
Find k such that -11550*k**2 - 2495625 + 55995*k**4 - 254*k**3 - 302500*k + 74*k**3 - 55996*k**4 = 0.
-55, -15
Suppose b + 2*n - 33 + 13 = 0, -2*b = -5*n + 5. Suppose 0 = -4*z - 52*u + 57*u + b, 5*z = 4*u + 8. Factor -c - 1/4*c**3 + c**2 + z.
-c*(c - 2)**2/4
Let z(n) be the first derivative of -5*n**3/3 - 14050*n**2 - 39480500*n + 15894. Determine t, given that z(t) = 0.
-2810
Let x(d) = -6*d + 53. Let l be x(8). Suppose 13 + 0*y - 30*y**2 + l - 45*y - 38 - 5*y**3 = 0. What is y?
-4, -1
Let n(j) be the third derivative of 0*j**3 - 1/60*j**6 - 11/30*j**5 - 157*j**2 + 0*j + 0 + j**4. Factor n(f).
-2*f*(f - 1)*(f + 12)
Let o = 26396 + -9931. Determine w so that 3*w**4 - 2592*w**2 - 13355 + o*w - 48853 + 4271*w - 6*w**4 + 144*w**3 = 0.
12
Factor 5024 + 58*k - 2101*k - 4*k**2 - 1794*k - 1183*k.
-4*(k - 1)*(k + 1256)
Let c(m) = -m**2 - 6*m - 5. Let t be c(-6). Let k = t + 9. Factor -k*b**4 - 3*b**3 - 4*b**2 + 9*b**3 - b**5 - b - 12*b**3.
-b*(b + 1)**4
Suppose -5*d = -h + 109 + 16, d = -2*h + 195. Let l = -94 + h. Find b, given that -3*b - 3*b**3 + 78*b**2 - 90*b**2 - l*b = 0.
-3, -1, 0
Factor 1/6*j**3 - 5/3 - 7/6*j + 2/3*j**2.
(j - 2)*(j + 1)*(j + 5)/6
Let o = 1527409/165 - 9257. Let u(q) be the third derivative of o*q**6 + 1/66*q**5 + 3/385*q**7 - 1/66*q**4 + 17*q**2 + 0 + 0*q**3 + 0*q. Solve u(g) = 0 for g.
-1, 0, 2/9
What is j in j**4 + 9184*j + 50*j**3 - 9064*j - 6*j**4 - 140*j**2 = 0?
0, 2, 6
Factor -10/7*j**3 + 18/7*j**2 + 2/7*j**4 + 4/7 - 2*j.
2*(j - 2)*(j - 1)**3/7
Let d = 388767 + -2721367/7. Factor d*k**4 + 0 + 0*k**2 + 0*k + 10/7*k**3.
2*k**3*(k + 5)/7
Let d(m) be the second derivative of m**4/18 - 332*m**3/9 - 111*m**2 - 4*m + 13. Factor d(w).
2*(w - 333)*(w + 1)/3
Let g(h) be the third derivative of 0*h**4 - 10*h**2 + 1/210*h**6 + 1/735*h**7 + 0*h**3 + 0 + 0*h + 1/210*h**5. Factor g(f).
2*f**2*(f + 1)**2/7
Let 69 - 6*r**4 + 52*r**3 - 4*r**5 + 11 + 386943*r - 387075*r + 10*r**2 = 0. Calculate r.
-4, -2, 1, 5/2
Let z(v) be the first derivative of 34*v + 36 - 1/5*v**5 + 8/3*v**3 - v**4 + 0*v**2. Let w(t) be the first derivative of z(t). Factor w(f).
-4*f*(f - 1)*(f + 4)
Let i(u) be the second derivative of 573049*u**4/48 + 757*u**3/12 + u**2/8 - 147*u - 17. Suppose i(l) = 0. Calculate l.
-1/757
Let g = 40782 + -40780. Let z(c) be the first derivative of -1/3*c**6 - 13/4*c**4 + 3/2*c**2 - 5/3*c**3 - 9/5*c**5 + g*c + 22. Find p such that z(p) = 0.
-2, -1, 1/2
Let w = -457917 + 457922. Determine f so that 6/13 + 28/13*f**2 + 12/13*f**3 + 22/13*f - 2/13*f**w - 2/13*f**4 = 0.
-1, 3
Let d(f) be the second derivative of f**8/13440 + f**7/2520 + 17*f**4/4 + 54*f. Let s(p) be the third derivative of d(p). Find x such that s(x) = 0.
-2, 0
Let q(r) = 57*r**3 + 1228*r**2 - 990*r - 268. Let j(w) = 224*w**3 + 4911*w**2 - 3960*w - 1076. Let s(o) = 3*j(o) - 11*q(o). Factor s(n).
5*(n - 1)*(n + 28)*(9*n + 2)
Let a be (2 + 1 + -3)*2/(-4). Suppose -14*g + 395 - 59 = a. Solve -9*k + 0*k + k - 10*k - g - 3*k**2 = 0.
-4, -2
Let o(h) be the first derivative of 2*h**6/27 + 4*h**5/9 - 26*h**4/9 - 88*h**3/9 + 34*h**2 + 84*h + 11026. Find y, given that o(y) = 0.
-7, -3, -1, 3
Let q(l) be the third derivative of -l**6/660 - 29*l**5/330 - 68*l**4/33 - 832*l**3/33 + l**2 - 78*l. Factor q(r).
-2*(r + 8)**2*(r + 13)/11
Let s(j) be the third derivative of -j**6/60 + j**5/3 + 17*j**4/3 - 56*j**3 - 316*j**2. Factor s(i).
-2*(i - 14)*(i - 2)*(i + 6)
Let f(s) be the third derivative of -s**6/30 - 17*s**5/15 - 91*s**4/6 - 98*s**3 - 279*s**2. What is n in f(n) = 0?
-7, -3
Let q(m) = -5*m**2 - 112*m + 664. Let d(x) = -12*x**2 - 225*x + 1326. Let h(r) = 4*d(r) - 9*q(r). Factor h(k).
-3*(k - 28)*(k - 8)
Suppose 22*v = 18*v + 12. Suppose -2*y - 10 = -v*r, -2 = -r - 4*r - 4*y. Factor 5*q**r - 55*q**3 - 1 + 7*q + 48*q - 1 - 3.
-5*(q - 1)*(q + 1)*(11*q - 1)
Factor 7/5*h**2 - 1/5*h**3 + h - 15.
-(h - 5)**2*(h + 3)/5
Let u(c) be the first derivative of 19*c**4/14 - 64*c**3/21 + c**2 + 12*c/7 - 2475. Determine y so that u(y) = 0.
-6/19, 1
Let c(q) = q**3 - 33*q**2 + 3*q - 101. Let d be c(33). Let z be d - ((-11)/66 + 26/(-6)). Let -z*u**2 - 1 + 7/2*u = 0. Calculate u.
2/5, 1
Suppose 9 = -3*x, 14*q + 16*x = 17*q + 2*x - 57. Determine b so that -8/7 - 22/7*b - 17/7*b**2 + 5/7*b**4 + 1/7*b**q + 1/7*b**3 = 0.
-4, -1, 2
Let p(q) be t