 s be q(17). Let l be (-8)/(-1)*(58/s - -3). Solve 2/5*y**2 + l + 6/5*y = 0.
-2, -1
Let l = -805 - -1203. Let w = 6768/17 - l. Let w*c**5 + 0 - 4/17*c**4 + 0*c**2 + 0*c + 0*c**3 = 0. Calculate c.
0, 2
Let u(n) be the second derivative of -n**7/630 + 2*n**6/45 + 11*n**5/10 + 2*n**4/3 - n**2 + 2*n - 14. Let f(b) be the third derivative of u(b). Factor f(t).
-4*(t - 11)*(t + 3)
Find j such that -40*j**3 - 78*j**2 + 17 + 2*j**4 - 23*j**2 - 17 + 13*j**2 = 0.
-2, 0, 22
Let s be 6/(-4) - ((-588)/(-56) + -10 + -6). Let v(z) be the second derivative of 1/8*z**3 + 0 + 1/4*z**2 + 1/48*z**s - 38*z. What is m in v(m) = 0?
-2, -1
Let g(d) = 3*d**2 + 34*d - 66. Let v be g(2). Let x(f) be the first derivative of -v + 3/28*f**4 - 5/7*f**3 + 27/7*f + 9/14*f**2. Find w, given that x(w) = 0.
-1, 3
Let r(a) be the third derivative of a**5/15 + 360*a**4 + 777600*a**3 + 994*a**2. Factor r(x).
4*(x + 1080)**2
Let y(x) = -x - 7. Let n be y(-10). Suppose 48*w - 4550 = -22*w. Factor -36*d - 3*d**3 + w - 41 + 18*d**2 + 0*d**n.
-3*(d - 2)**3
Find w such that -1062*w**3 - 219*w**4 + 11*w - 269*w - 72*w + 1275*w**2 + 324*w**2 + 12*w**5 = 0.
-5, 0, 1/4, 1, 22
Suppose -5*f = -3*v, 5*v - 40 = -2*f - 3*f. Suppose t - 3*j - 650 = 0, 5*t - v*j - 3198 = -3*j. Factor -2*y**2 + 638*y - t*y.
-2*y**2
Let f(c) be the second derivative of c**5/90 - 7*c**4/54 + 8*c**3/27 + 16*c**2/9 + 727*c - 2. Let f(k) = 0. Calculate k.
-1, 4
Suppose -d = 2*d - 3, -5*m + 5*d - 20 = 0. Let f(v) = -2*v**2 - 10*v - 5. Let y be f(m). Factor -3*n**5 - 14*n**3 - 3*n - 12*n**2 - 12*n**4 + y - 4*n**3 - 7.
-3*n*(n + 1)**4
Let d(b) = 14*b + 3*b + 2*b - b**2 + 3 - b. Let q be d(18). Factor 16 - 10*m**3 - 1 - 3*m**q - 15*m**2 + 18*m**3 - 5*m.
5*(m - 3)*(m - 1)*(m + 1)
Let z = 9942 + -59785/6. Let n = 23 + z. Factor 0*j**2 + 0 - n*j**4 + 0*j + 0*j**3.
-5*j**4/6
Let d = -153371/4 - -37799. Let u = 544 + d. Factor -1/4*o**2 + 0*o**3 + 0*o + 0 + u*o**4.
o**2*(o - 1)*(o + 1)/4
Let 100/7*i**2 + 24/7*i**3 + 2/7*i**5 - 32/7*i**4 - 22*i + 60/7 = 0. Calculate i.
-2, 1, 15
Factor -1360 + s**2 + 12*s**2 + 4*s**2 - 690*s - 26*s**2 + 4*s**2.
-5*(s + 2)*(s + 136)
Let d = 96357 + -289063/3. Let 20/3*c + 16/3*c**4 - d*c**2 - 16/3*c**3 - 4/3*c**5 - 8/3 = 0. What is c?
-1, 1, 2
Suppose -577*f + 1761*f = 9472. Suppose -2*a**2 + 2*a**4 + f*a - 1/8*a**5 - 63/8*a**3 + 0 = 0. What is a?
-1, 0, 1, 8
Let g(h) be the second derivative of -h**6/15 - 22*h**5/5 - 563*h**4/6 - 1720*h**3/3 - 1200*h**2 - 452*h - 1. Factor g(m).
-2*(m + 1)*(m + 3)*(m + 20)**2
Let h be 26 + -32 - 64/(-10). Let i = -5173/5 + 1035. Solve -h - 2/5*t + 2/5*t**3 + i*t**2 = 0 for t.
-1, 1
Suppose -4*c + 228 = -636. Let p = c - 216. Determine r so that 2/11*r**2 - 2/11*r**3 + p*r + 0 = 0.
0, 1
Let y(l) = 14740 - 3*l - 14*l + 2*l**2 + 14722 - 29481. Let g(x) = -x**2 + 4*x - 4. Let b be g(3). Let a(c) = -c - 1. Let t(m) = b*y(m) + 5*a(m). Factor t(i).
-2*(i - 7)*(i + 1)
Let p(w) be the third derivative of -w**6/360 + w**5/15 - 13*w**4/24 + 14*w**3/9 - 3802*w**2. Solve p(q) = 0 for q.
1, 4, 7
Let v(g) be the first derivative of 8/3*g**3 - 81 - 5*g**2 + 4*g - 1/2*g**4. Suppose v(h) = 0. Calculate h.
1, 2
Let z(s) = -s**4 + s**3 + 35*s**2 + 1. Let j(b) = 14*b**4 - 99*b**3 - 608*b**2 - 15. Let l(y) = 2*j(y) + 30*z(y). Determine q so that l(q) = 0.
-83, -1, 0
Let b = 2303 - 2299. Suppose w - 2*u + 14 = 2*u, 3*w = -5*u + 26. Suppose 15*r**w - 8*r**2 + b - 9*r**2 - 2 = 0. What is r?
-1, 1
Factor -408/7 - 114/7*c - 3/7*c**2.
-3*(c + 4)*(c + 34)/7
Let x(v) = -v**4 - 1075*v**3 + 56147*v**2 + 176035*v + 118812. Let k(w) = 3*w**4 - w**2 - 1. Let q(s) = 2*k(s) + x(s). Factor q(g).
5*(g - 109)**2*(g + 1)*(g + 2)
Let x(q) = 455*q**2 - 210*q + 1515. Let s(a) = -15*a**2 - 1. Let h(n) = -30*s(n) - x(n). Let h(j) = 0. Calculate j.
9, 33
Solve 176*x + 358*x**3 - 843 - 534*x + 252*x**2 + 573*x**2 - x**4 - 104*x**2 + 123 = 0 for x.
-2, -1, 1, 360
Let l be (16/10)/2*(-85)/(-119). Let q be 1552/1848 + (-24)/66. Factor 0 + q*m**2 - 2/21*m**3 + l*m.
-2*m*(m - 6)*(m + 1)/21
Let a(t) = t**3 + 10*t**2 - 6*t + 57. Let z = -307 - -296. Let s be a(z). Factor -2/5*f + 0 - 1/5*f**s.
-f*(f + 2)/5
Let a(n) be the third derivative of n**2 - 13/3*n**3 - 5/8*n**4 + 29 + 1/120*n**6 + 0*n + 1/5*n**5. What is y in a(y) = 0?
-13, -1, 2
Let o(r) = 3*r**2 + r + 2. Let d(p) = -28*p**2 - 1656*p + 3264. Let b(v) = -d(v) - 10*o(v). Find f, given that b(f) = 0.
2, 821
Let 578/3*x**5 - 162*x - 132*x**2 - 18 + 3044/3*x**3 - 2686/3*x**4 = 0. What is x?
-3/17, 1, 3
Factor 2*d**3 - 96/7 - 176/7*d - 6/7*d**2.
2*(d - 4)*(d + 3)*(7*d + 4)/7
Let w(a) be the third derivative of a**5/270 + 1421*a**4/54 + 2019241*a**3/27 - 107*a**2 - 3*a + 2. Determine i so that w(i) = 0.
-1421
Let u(l) be the third derivative of 0 - 29/150*l**5 + 55*l**2 + 0*l - 31/15*l**3 + 61/60*l**4 - 1/300*l**6. Factor u(s).
-2*(s - 1)**2*(s + 31)/5
Factor -944 - 1864*p + 5115 + 2784 + 437 + 4*p**2.
4*(p - 462)*(p - 4)
Suppose 16 + 29 = 9*d. Solve 13*o + 22 + d*o**2 - 26 + 5*o - 16 - 5*o**3 + 2*o = 0.
-2, 1, 2
Let c be (450/(-135) - 52/(-13))/((-10)/(-12)). Solve -c*t + 2/5*t**2 + 2/5 = 0.
1
Suppose 4*q + 5*q - 36 = 0. Factor q*g**3 - 6*g**3 - g**5 - 4*g**5 + 12*g**3 - 5*g.
-5*g*(g - 1)**2*(g + 1)**2
Let k(h) be the third derivative of -2*h + 164*h**2 - 17/42*h**4 + 0 - 20/7*h**3 - 1/105*h**5. Factor k(z).
-4*(z + 2)*(z + 15)/7
Let k(w) = -94*w - 127. Let j be k(2). Let u be 56/21 - 1230/j. Factor -10/7*l**3 - 44/7*l**2 - 12/7 - u*l.
-2*(l + 1)*(l + 3)*(5*l + 2)/7
Determine w, given that -1/2*w**5 + 0 - 3*w - 17/2*w**3 + 17/2*w**2 + 7/2*w**4 = 0.
0, 1, 2, 3
Let f = -13035 + 65179/5. Suppose f + 2/25*d**2 + 14/25*d = 0. What is d?
-5, -2
Let u = -788 - -798. Let b(y) be the third derivative of 0*y**3 + 1/150*y**5 + u*y**2 + 0*y + 0 - 1/60*y**4. Let b(c) = 0. Calculate c.
0, 1
Suppose 24*r + 71 - 69 = 98. Let l(z) be the third derivative of 0*z**3 + 2/105*z**7 + 0*z - 1/15*z**5 + 1/10*z**6 - 1/2*z**r - 2 - 6*z**2. Factor l(f).
4*f*(f - 1)*(f + 1)*(f + 3)
Let y(l) be the third derivative of -l**8/84 - 22*l**7/63 + 473*l**6/90 - 133*l**5/9 + 125*l**4/9 - 3708*l**2 + 2*l. Suppose y(k) = 0. What is k?
-25, 0, 2/3, 1, 5
Let i(b) be the first derivative of 61*b**5 - 50*b**2 - 695/4*b**4 - 60*b + 595/3*b**3 - 15/2*b**6 + 281. Solve i(z) = 0.
-2/9, 1, 2, 3
Suppose -2*f - 11 = -13. Let v be f*-4 + 30 + -23. Factor -8/5*b**2 + 8/5*b**v + 4/5*b**5 - 4/5 - 12/5*b + 12/5*b**4.
4*(b - 1)*(b + 1)**4/5
Suppose -75 = -5*n, 267*i = 263*i + 5*n - 67. Factor 2*j**i - 1/2*j**4 + 1/2*j**3 - 2*j + 0.
-j*(j - 2)*(j - 1)*(j + 2)/2
Suppose -6 = 2*r - 8. Suppose -3*b + 10 = r. Factor -3*o**3 - 2*o**2 + o**3 + 3*o**3 - b*o**3.
-2*o**2*(o + 1)
Suppose -m - 3*g + 6*g = -17, -m - 4*g - 18 = 0. Factor 7*f**4 - 8*f**2 + 3*f**4 + 26*f**3 - 11*f**3 - 16*f + f**5 - m*f**4.
f*(f - 1)*(f + 1)*(f + 4)**2
Let w(g) be the third derivative of 0 + 0*g + 2*g**4 + 13*g**2 - 1/30*g**5 - 23/3*g**3. Factor w(u).
-2*(u - 23)*(u - 1)
Let u = -117013/21 + 16951/3. Let m = u + -526/7. Find i such that -m*i**2 + 2/7*i**5 - 24/7*i - 8/7 + 6/7*i**4 - 2/7*i**3 = 0.
-2, -1, 2
Suppose -3*c + 4*k = -17236, -4*c = 5*k - 37566 + 14564. Factor -4 + i + 3 - c*i**3 + i**2 + 5749*i**3 - 2*i.
(i - 1)*(i + 1)**2
Suppose 3*w = l - 43, w = 4*l + 3*w - 214. Let u be (-17 - -13) + l/20 + 3. Suppose u*c**2 + 22/5*c + 12/5 - 2/5*c**3 = 0. What is c?
-1, 6
Let n(f) = 0 + 2*f + 1 + 2 - 5*f**2 + 526*f**3 - 525*f**3. Let m be n(0). Find l, given that -26/11*l - 4/11 + 24/11*l**m - 34/11*l**2 = 0.
-1/3, -1/4, 2
Let t(g) be the second derivative of -g - 20 + 1/3*g**6 + 11/5*g**5 + 1/2*g**4 - 22/3*g**3 - 8*g**2. Solve t(o) = 0.
-4, -1, -2/5, 1
Let l(t) = 2*t**3 - 6919*t**2 + 7990295*t - 3073600529. Let r(c) = 5*c**2 - c - 1. Let j(b) = -2*l(b) + 2*r(b). Factor j(o).
-4*(o - 1154)**3
Let z = -640554 + 4483912/7. Factor 20/7*q + 2/7 + z*q**2 + 16/7*q**3.
2*(q + 1)**2*(8*q + 1)/7
Let t = -4/19357 - -38734/96785. What is n in -36/5*n - 162/5 - t*n**2 = 0?
-9
Let l(j) = -j**3 + 22*j**2 - 25*j + 43. Let s be l(21). Let z be (-1 - s)*33/44. Find i such that -4*i**2 - 20 + 42*i - 48*i + z*i = 0.
1, 5
Suppose 0 = 5*s + 10*o - 5, -103*s - 5*o - 8 = -104*s. Factor 128*y - 1024/3 - 16*y**2 + 2/3*y**s.
2*(y - 8)**3/3
Suppose -13*p + 243 = 116*p - 273.