se 6*a - 615 = 4*a + 5*q, -5*a + 4*q + 1580 = 0. Suppose -13*x + a = -57. Solve -20*n - 12*n - 3*n**3 + 6*n**2 + x*n = 0 for n.
0, 1
Suppose -8 = -7*j + 20. Suppose 0 = 11*m - 10 - 45. Let 4*y**4 + m*y**2 - 6*y**4 - 18 + 8*y**3 - j*y**2 + 3*y**2 - 24*y = 0. What is y?
-1, 3
Let l(b) be the second derivative of -1/30*b**4 + 0*b**2 + 0 - 2/15*b**3 + 92*b. Let l(s) = 0. Calculate s.
-2, 0
Let v(h) = 2*h**2 + 17*h - 238. Let n be v(-16). Let k(s) be the first derivative of 10 + 0*s - 1/2*s**n + 1/3*s**3. Factor k(o).
o*(o - 1)
Let g be (1*16/(-5))/((-10)/25). Factor -114*x**3 + g*x**3 + 30 + 355*x - 7*x**3 - 67*x**3 + 1020*x**2.
-5*(x - 6)*(6*x + 1)**2
Suppose 5*m = -3*f + 7 + 18, 55*f - 275 = 0. Suppose 0*q**m - 2/5 + 3/5*q - 1/5*q**3 = 0. Calculate q.
-2, 1
Let y(o) = -o**2 - 22*o - 115. Let v be y(-13). Determine b so that 15*b**v + 16*b**3 - 8*b + 47*b**2 + 24*b + 0*b - 2*b**4 + 28*b = 0.
-2, -1, 0, 11
Let w = 249538 + -1247676/5. Factor -6/5*m**2 + 44/5*m - w.
-2*(m - 7)*(3*m - 1)/5
Let -s + 4*s**3 + 512*s - 1553*s - 228*s**2 - 1334*s = 0. What is s?
-9, 0, 66
Let b(p) be the first derivative of 1/21*p**6 + 0*p + 0*p**2 + 37 + 6/35*p**5 + 1/7*p**4 + 0*p**3. Factor b(c).
2*c**3*(c + 1)*(c + 2)/7
Let r(v) be the third derivative of -v**6/120 - v**5/60 + 5*v**4/24 - v**3/2 - 626*v**2. Factor r(l).
-(l - 1)**2*(l + 3)
Determine w, given that -7*w**3 + 25313*w**2 - 45377*w**2 + 25844*w**2 + 7441*w + 1654 = 0.
-1, -2/7, 827
Let o(f) be the second derivative of -f**4/20 - f**3/5 + 153*f**2/2 - 1071*f. Factor o(g).
-3*(g - 15)*(g + 17)/5
Let r(m) = -9*m**3 - 38*m**2 + 201*m + 280. Let c(l) = 26*l**3 + 116*l**2 - 602*l - 832. Let b(k) = -5*c(k) - 14*r(k). Factor b(d).
-4*(d - 4)*(d + 1)*(d + 15)
Let i(w) be the third derivative of w**7/1890 + 7*w**6/1620 + w**5/90 - 85*w**3/6 + 29*w**2. Let z(f) be the first derivative of i(f). Factor z(s).
2*s*(s + 2)*(2*s + 3)/9
Let p(z) = 2*z**5 - 33*z**4 - 10*z**3 + 15*z**2 + 26*z + 18. Let n(x) = x**5 - 16*x**4 - 6*x**3 + 8*x**2 + 13*x + 8. Let g(y) = 9*n(y) - 4*p(y). Factor g(t).
t*(t - 13)*(t - 1)*(t + 1)**2
Let v(g) = -g**5 + g**3 + 2*g - 1. Let h(c) = -6*c**5 + 7*c**4 + 13*c**3 + 14*c - 7. Let z(u) = -h(u) + 7*v(u). Let z(i) = 0. Calculate i.
-6, -1, 0
Let u be (-49)/(-168)*(-16)/(-56). Let j(h) be the third derivative of 0 - u*h**4 + 2*h**2 + 0*h**3 - 1/30*h**5 + 0*h. Factor j(o).
-2*o*(o + 1)
Let t(w) = 4*w - 60. Let d be (-8 - -1)*6/63*-30. Let y be t(d). Solve -11 + 0*i**4 - 4 + 32*i - 1 - 4*i**2 - y*i**3 + 4*i**4 + 4*i**5 = 0 for i.
-2, 1
Let r(q) be the third derivative of -q**6/60 + 17*q**5/210 - 13*q**4/84 + q**3/7 - 34*q**2 - 10. Find p, given that r(p) = 0.
3/7, 1
Let f be ((-1156)/(-9))/2 + (-31 - 3601/(-117)). Let x(z) be the first derivative of 20*z**3 + f*z + 1/5*z**5 + 56*z**2 + 13/4*z**4 - 26. Factor x(y).
(y + 1)*(y + 4)**3
Suppose -25*v + 25 = -25. Let 75 - 48*m**v + 21 - 46 - 2*m**4 + 20*m - 20*m**3 = 0. Calculate m.
-5, -1, 1
Let k(h) = -15*h - 126. Let g be k(-9). What is u in 17*u + 0*u**4 + 5*u**4 + 55*u - 84*u**2 + 32*u**3 - g*u**4 = 0?
0, 2, 3
Let m(t) be the second derivative of -t**6/840 + t**5/40 - 5*t**4/28 + 23*t**3/3 + t**2 - 16*t - 2. Let u(r) be the second derivative of m(r). Factor u(y).
-3*(y - 5)*(y - 2)/7
Let j(a) be the third derivative of -a**8/168 - 17*a**7/210 + 29*a**6/60 + 11*a**5/20 - 1131*a**2 - 1. Find s, given that j(s) = 0.
-11, -1/2, 0, 3
Let h(g) be the third derivative of -1/10*g**5 - 7/36*g**4 - 1/36*g**6 + 0*g + 0 - 1/315*g**7 - 2/9*g**3 - 38*g**2. Suppose h(b) = 0. What is b?
-2, -1
Let u(y) be the third derivative of -3/5*y**3 + 1/200*y**6 + 0*y + 0*y**5 - 44*y**2 + 0 - 7/40*y**4. Factor u(z).
3*(z - 3)*(z + 1)*(z + 2)/5
Let k = 35539/26655 - -1/26655. Factor 10/3*v - k*v**2 + 2/3*v**5 + 2 - 4*v**3 - 2/3*v**4.
2*(v - 3)*(v - 1)*(v + 1)**3/3
Let b(g) = -9*g**2 + 55*g - 6. Let m(u) = 2*u - 5. Let a be m(5). Let r(t) = -2*t**2 + t + 1. Let q(v) = a*b(v) - 40*r(v). Determine l, given that q(l) = 0.
-7, 2/7
Let n(v) be the first derivative of -4*v**3/15 + 650*v**2 - 6496*v/5 + 13732. Factor n(t).
-4*(t - 1624)*(t - 1)/5
Factor -2558/3*y + 2/3*y**3 + 1276/3*y**2 + 1280/3.
2*(y - 1)**2*(y + 640)/3
Let w = 451 - 441. Factor -27*n - n**3 + 4*n**3 - w*n**2 + 40*n**2 - 3*n**2 - 3*n**4.
-3*n*(n - 3)*(n - 1)*(n + 3)
Let z(l) = l**3 - 6*l**2 - 5*l + 6. Let h(s) = 2*s**3 - 11*s**2 - 11*s + 11. Let p(q) = -4*h(q) + 9*z(q). Solve p(c) = 0 for c.
-1, 1, 10
Suppose 7*w - 10*w + 12 = 0. Suppose -4*x = -w*b + 60, 3 = x + 8. Factor 13*p - 4*p + p**2 + p**3 - b*p - 1.
(p - 1)*(p + 1)**2
Find g such that -4/17*g**5 + 304/17*g**3 + 94/17*g**2 + 74/17*g**4 - 132/17*g + 0 = 0.
-3, -1, 0, 1/2, 22
Let q be (-3)/((-2)/2) - 16670232/813168. Let m = -2/5647 - q. Determine o so that 5/2*o**2 + m*o + 15 = 0.
-6, -1
Let j(u) be the third derivative of -u**5/36 + 5*u**4/6 - 175*u**3/18 + 294*u**2 - 1. Let j(c) = 0. What is c?
5, 7
Let d(p) be the second derivative of -p**7/28 - 201*p**6/20 - 7941*p**5/10 - 12201*p**4/2 - 9604*p**3 - 7191*p. Solve d(g) = 0.
-98, -4, -1, 0
Let v(t) = -t**2 - 13*t + 1. Let w(o) = -2*o**2 - 103*o - 129. Let s(f) = 3*v(f) - w(f). Solve s(j) = 0.
-2, 66
Let z(c) be the second derivative of c**4/6 + 548*c**3/3 + 547*c**2 + 5313*c. Factor z(h).
2*(h + 1)*(h + 547)
Factor -32/3*l**2 - 70/3*l - 12 + 2/3*l**3.
2*(l - 18)*(l + 1)**2/3
Suppose 5*b = -16*b. Suppose 3*t = -2*t - b*t. What is r in -4/7*r**5 - 16/7*r + t - 16/7*r**2 + 8/7*r**4 + 12/7*r**3 = 0?
-1, 0, 2
Suppose 0 = -2*c + 4*v + 80, 4 = -2*v - 4. Let h = -94132 + 188277/2. Find l such that -56*l + 1/2*l**4 + 30*l**2 + c - h*l**3 = 0.
1, 4
Let c(p) be the first derivative of p**5/10 - 29*p**4/4 + 172*p**3 - 2675*p**2/2 + 4375*p/2 - 5960. Factor c(v).
(v - 25)**2*(v - 7)*(v - 1)/2
Let k(y) be the first derivative of -y**4/16 - 2*y**3/3 + 33*y**2/8 - 1473. Suppose k(w) = 0. What is w?
-11, 0, 3
Let l(r) be the third derivative of 0 + 3/20*r**5 + 0*r + 0*r**4 - 25*r**2 + 0*r**3 + 1/40*r**6. Factor l(u).
3*u**2*(u + 3)
Let n(w) = -175*w + 16975. Let i be n(97). Find k such that i + 2/7*k - 13/7*k**2 = 0.
0, 2/13
Let h be ((-68)/22 + 3)/((-510)/187). Let r(l) be the second derivative of 0 + 9*l + h*l**4 - 2/5*l**3 + 8/5*l**2. Factor r(i).
2*(i - 4)*(i - 2)/5
Let o(v) = -20*v**2 - 240*v - 16. Let u be (0 - -1)*1 + -4. Let q(i) = 4*i**2 + 48*i + 3. Let l(r) = u*o(r) - 16*q(r). Find n such that l(n) = 0.
-12, 0
Let b(w) be the first derivative of -2*w**3/21 + 4*w**2 + 120*w/7 - 1756. Let b(u) = 0. Calculate u.
-2, 30
Let u = 2552/4195 + -7/839. Let q(j) be the second derivative of 0 + 3/10*j**3 + u*j**2 - 9*j + 1/20*j**4. Solve q(t) = 0.
-2, -1
Let h(n) be the first derivative of -1/8*n**2 + 0*n + 0*n**3 + 1/8*n**4 + 0*n**5 - 1/24*n**6 + 25. Let h(r) = 0. What is r?
-1, 0, 1
Let n be (8/9 + -1)*28/(12 - 19). Let d(l) be the first derivative of 27 + 4/9*l**5 + 0*l + 2/9*l**4 - 20/27*l**3 - n*l**2. Let d(p) = 0. What is p?
-1, -2/5, 0, 1
Determine b, given that -130*b + 222*b**3 + 130*b - 9*b**3 + 6*b**4 - 216*b**2 - 3*b**5 = 0.
-8, 0, 1, 9
Let a(i) be the third derivative of -5*i**6/48 - 193*i**5/24 + 695*i**4/24 - 100*i**3/3 + 393*i**2. Suppose a(o) = 0. Calculate o.
-40, 2/5, 1
Let u(z) be the third derivative of z**6/960 + z**5/160 - 3*z**4/64 - 35*z**3/6 - 75*z**2. Let v(o) be the first derivative of u(o). Factor v(m).
3*(m - 1)*(m + 3)/8
Find v such that -681/4*v**2 - 3/4*v**4 + 129/4*v**3 + 555/4*v + 0 = 0.
0, 1, 5, 37
Suppose -87 = -4*r + 3*s - 30, -r - 5*s = 72. Suppose 338/5*c**r - 136*c**4 + 40*c**5 + 408/5*c**2 + 0 + 72/5*c = 0. Calculate c.
-3/10, 0, 2
Suppose -145*v + 144*v - 16 = -3*m, 0 = 5*v + 4*m - 34. Let g(c) be the second derivative of -c - 5 - 1/3*c**4 + 1/20*c**5 + 5/6*c**3 - c**v. Factor g(h).
(h - 2)*(h - 1)**2
Let x = -812 + 813. Let y(r) = r**4 - 40*r**3 + r**2 + 34*r. Let w(q) = 2*q**4 - 2*q**3 - q**2 - q. Let d(c) = x*y(c) - 2*w(c). Determine g so that d(g) = 0.
-12, -1, 0, 1
Factor 12 + 13/2*o + 1/4*o**2.
(o + 2)*(o + 24)/4
Let d(l) be the first derivative of 0*l + 57/10*l**2 - 1/5*l**3 - 30. Find v, given that d(v) = 0.
0, 19
Let s = 49 + -42. Suppose s*b - 5*b = 4. Factor -3*w**2 + 2 - 6 + 5*w**b + 0 - 2*w.
2*(w - 2)*(w + 1)
Suppose 0*p = -3*r - 2*p - 57, -3*p = 4*r + 76. Let w(n) = 