+ 1/5*g**t - 3/5*g**2 - 1/5 = 0.
1
Let z(v) be the first derivative of v**3/7 - 96*v**2/7 + 3072*v/7 - 193. Factor z(s).
3*(s - 32)**2/7
Let w(v) = 192*v + 960. Let l be w(-5). Factor l*t + 6/5*t**3 + 8/5*t**2 - 2/5*t**4 + 0.
-2*t**2*(t - 4)*(t + 1)/5
Factor -1/8*i**2 - 5929/8 + 77/4*i.
-(i - 77)**2/8
Let b(n) be the first derivative of 4*n**5/5 + 13*n**4 + 140*n**3/3 - 98*n**2 + 39. Let b(q) = 0. Calculate q.
-7, 0, 1
Let l = -5284 - -26424/5. Factor 0 + 2/5*k**4 + 0*k**3 - l*k - 6/5*k**2.
2*k*(k - 2)*(k + 1)**2/5
Factor -12 + 804*p**2 - 1596*p**2 + 8*p + 796*p**2.
4*(p - 1)*(p + 3)
Let a = 1764 + -1757. Let z(o) be the third derivative of 2/9*o**4 + 0 - 3*o**2 + 0*o**6 + 0*o - 1/315*o**a + 1/3*o**3 + 1/15*o**5. Let z(x) = 0. What is x?
-1, 3
Factor 8/7 - 2/7*c**2 + 0*c.
-2*(c - 2)*(c + 2)/7
Let x(c) be the third derivative of 0*c - c**4 + 0 - 1/9*c**5 + 16/9*c**3 - 30*c**2. Factor x(v).
-4*(v + 4)*(5*v - 2)/3
Let a(p) = -5*p**5 + p**4 + 7*p**3 - 19*p**2 + 14*p - 1. Let n(r) = 21*r**5 - 3*r**4 - 29*r**3 + 77*r**2 - 56*r + 3. Let h(m) = 26*a(m) + 6*n(m). Factor h(l).
-4*(l - 1)**4*(l + 2)
Factor -318*t**2 + 5*t**3 + 303*t**2 - 7*t + 17*t.
5*t*(t - 2)*(t - 1)
Let u be (-29)/(-6) - 1/(-6). Suppose -4*k - k + 21 = g, 15 = 5*k - u*g. Determine p, given that 7/2*p**2 + p + 0 + 3/2*p**k + 4*p**3 = 0.
-1, -2/3, 0
Suppose 0 = s - 5*z - 70, z + 4*z - 130 = -3*s. Factor s + 3*u**2 + 15*u - u**3 - 2*u**3 - 41.
-3*(u - 3)*(u + 1)**2
Suppose 8/5*a - 12/5 - 1/5*a**2 = 0. Calculate a.
2, 6
Let t(w) be the first derivative of 2*w**5/45 + w**4/18 - 16*w**3/27 - 4*w**2/3 - 246. Solve t(n) = 0 for n.
-2, 0, 3
Let g(h) be the first derivative of -9/16*h**2 - 7/32*h**4 + 0*h - 1/40*h**5 - 5/8*h**3 - 37. Solve g(v) = 0 for v.
-3, -1, 0
Let h be 0 - -1 - (-36 - 3). Factor -5*u**3 + h + 13*u**3 - 40 - 8*u + 4*u**4 - 4*u**2.
4*u*(u - 1)*(u + 1)*(u + 2)
Determine u so that -274 + 119*u + 243*u**3 - 5*u**4 - 123*u**3 - 226 - 150*u**3 + 181*u + 55*u**2 = 0.
-5, 2
Let y = 3266 + -3264. Determine l, given that 1/6*l**4 + 1/2*l - 1/6*l**y + 0 - 1/2*l**3 = 0.
-1, 0, 1, 3
Let g(x) be the first derivative of 2*x**5/35 + 5*x**4/14 + 16*x**3/21 + 4*x**2/7 - 171. Let g(h) = 0. Calculate h.
-2, -1, 0
Let g = -731/63 - -82/7. Let i(f) be the first derivative of 2/3*f - 5 - 1/2*f**2 + g*f**3. Determine u so that i(u) = 0.
1, 2
Let g = 389 + -387. Let a(l) be the second derivative of -l + 1/27*l**3 + 0*l**g - 1/54*l**4 + 0. Factor a(b).
-2*b*(b - 1)/9
Suppose w + 53*o = 54*o - 1, 0 = 5*w - 3*o - 3. Let t(p) be the second derivative of -5/48*p**4 + w*p + 0 - 1/80*p**5 - 3/8*p**2 - 7/24*p**3. Factor t(z).
-(z + 1)**2*(z + 3)/4
Let c(y) be the first derivative of -8*y + 2*y**2 - 9 - 1/6*y**3. What is n in c(n) = 0?
4
Let c be ((-1)/2*1)/(1/(-26)). Let d = c - 23/2. Let d*x**2 - 9/2*x + 3 = 0. What is x?
1, 2
Let p be 14/(-49) + (-23)/(-7). Factor -3*q**p - 147 - 7*q**2 - 7*q**2 - 91*q - 98*q - 31*q**2.
-3*(q + 1)*(q + 7)**2
Let a(p) be the third derivative of -1/8*p**4 - 7*p**2 + 1/3*p**3 + 1/60*p**5 + 0*p + 0. Suppose a(b) = 0. Calculate b.
1, 2
Let f(s) be the second derivative of -3*s**5/20 + 45*s**4/4 - 483*s**3/2 - 1587*s**2/2 + 147*s. Factor f(j).
-3*(j - 23)**2*(j + 1)
Let m(v) be the second derivative of -v**6/30 - 9*v**5/10 - 8*v**4/3 - 13*v - 7. Solve m(u) = 0.
-16, -2, 0
Suppose 7 = -5*d - 3*h, 0 = -3*d + 3*h + 5 + 10. Factor 5 - d - 8*i**2 - 12*i**3 + 12*i + 4.
-4*(i - 1)*(i + 1)*(3*i + 2)
Let -2*o**4 + 6 - 1/3*o**5 + 26/3*o**3 - 4*o**2 - 25/3*o = 0. Calculate o.
-9, -1, 1, 2
Let v be (17/136)/(-3 - -18). Let x(m) be the third derivative of 0 + 1/480*m**6 + v*m**5 + 1/96*m**4 + 8*m**2 + 0*m**3 + 0*m. Factor x(f).
f*(f + 1)**2/4
Suppose 0 = 30*q + 1158 - 1218. Solve q*k**2 - 4/13*k - 40/13*k**3 + 18/13*k**4 + 0 = 0 for k.
0, 2/9, 1
Let g = 1252 - 5003/4. Determine l, given that 2 + 3*l**4 - g*l**5 - 13/2*l**2 + 11/4*l**3 - 3*l = 0.
-1, 2/5, 2
Suppose -3*s = -5*c - 35, -2*s + 2 = 2*c - 0*c. Factor r**2 - 5*r**3 + r**3 - s*r**2 + 4*r + 4*r**4 + 0*r**3.
4*r*(r - 1)**2*(r + 1)
Let q be (-4)/(-12) + 2 + (-1)/3. Suppose -15 = 4*d - 3*y, -y + 5 = -5*d + q*d. Suppose -1/2*z**4 + 1/2*z**2 + d + 1/2*z**3 + 0*z - 1/2*z**5 = 0. What is z?
-1, 0, 1
Let y(p) be the third derivative of -3*p**6/80 + 5*p**5/8 - 21*p**4/8 - 10*p**3 + 106*p**2. What is v in y(v) = 0?
-2/3, 4, 5
Let w(g) = 89*g**3 + 155*g**2 + 78*g - 3. Let h(t) = 44*t**3 + 78*t**2 + 38*t - 2. Let k(f) = 5*h(f) - 2*w(f). Suppose k(z) = 0. Calculate z.
-1, 2/21
Let p(j) be the first derivative of -1/21*j**6 - 2/21*j**3 - 6/35*j**5 - 1 + 0*j - 3/14*j**4 + 0*j**2. Factor p(u).
-2*u**2*(u + 1)**3/7
Let l(y) be the third derivative of y**8/1008 - 13*y**7/630 - 9*y**6/40 - 31*y**5/36 - 31*y**4/18 - 2*y**3 + 23*y**2. Factor l(t).
(t - 18)*(t + 1)**3*(t + 2)/3
Let t(c) be the third derivative of c**7/840 + c**6/240 - 3*c**5/20 + c**4/4 - 8*c**2. Let y(b) be the second derivative of t(b). What is o in y(o) = 0?
-3, 2
Let m(u) = -8*u**4 + 20*u**3 + 44*u**2 + 4*u. Let z(q) = -q**4 + q**2 - q. Suppose 8*p - 6*p + 24 = 0. Let w(j) = p*z(j) + m(j). Factor w(f).
4*f*(f + 1)*(f + 2)**2
Let x(a) = -a**5 + a**2 - a. Let t(j) = 2*j**5 + 3*j**3 - 5*j**2 + 3*j. Let y(p) = -t(p) - 3*x(p). Factor y(l).
l**2*(l - 1)**2*(l + 2)
Let i(x) = -x + 12. Let d be i(7). What is r in d*r**2 + 10 + 13*r + 0*r**2 + 2*r = 0?
-2, -1
Let m be (-8 - -8 - -5) + -5. Let h be (-20)/70 + (-32)/(-63). What is x in h*x**4 + 4/9*x**5 + m - 4/9*x**3 - 2/9*x**2 + 0*x = 0?
-1, -1/2, 0, 1
Let d(o) be the third derivative of o**5/126 - 263*o**4/252 - 106*o**3/63 - 2*o**2 - 25*o. Factor d(s).
2*(s - 53)*(5*s + 2)/21
Let z be (30/40)/((-6)/(-32)) + -4. Let y(a) be the second derivative of -5*a - 1/5*a**6 + 0*a**2 - 3/20*a**5 - 1/14*a**7 + 0*a**4 + 0 + z*a**3. Factor y(g).
-3*g**3*(g + 1)**2
Let f = -13 - -8. Let b(j) = -j. Let c(g) be the first derivative of -g**3 + 7*g**2 - 6*g - 34. Let p(l) = f*b(l) - c(l). Suppose p(k) = 0. What is k?
1, 2
Let j be ((-636)/120 - -5)*-22. Let k(s) be the first derivative of -j*s**3 + 3*s**2 + 4 + 27/5*s**4 - 3/5*s. Factor k(d).
3*(3*d - 1)**2*(4*d - 1)/5
Factor 54/5*g**2 + 120 + 3/5*g**3 + 63*g.
3*(g + 5)**2*(g + 8)/5
Suppose -5*v = 2*b - 36, 0 = -v - v + 4*b. Let a(i) = 5*i**3 - 7*i**2 + 2*i + 6. Let y(p) = -p**3 + p**2 - 1. Let o(j) = v*y(j) + a(j). Factor o(k).
-k*(k - 1)*(k + 2)
Suppose -v**3 + 31*v**2 - 7*v**3 - 5*v**4 - 6*v**3 + 18*v - 2*v**2 - 28*v**3 = 0. What is v?
-9, -2/5, 0, 1
Let b be 3/(-9)*2/(-6) + 2340/(-21060). Factor -4/7*f**3 + b + 8/7*f - 4/7*f**2.
-4*f*(f - 1)*(f + 2)/7
Let w(s) = 135*s**3 + 8470*s**2 + 212210*s - 459730. Let f(c) = -8*c**3 - 498*c**2 - 12483*c + 27043. Let d(b) = 50*f(b) + 3*w(b). Factor d(h).
5*(h - 2)*(h + 52)**2
Let -18*f - 4*f**4 - 5*f**5 + 14*f**4 - 79*f + 63*f - 26*f + 35*f**3 - 40*f**2 = 0. Calculate f.
-2, -1, 0, 2, 3
Suppose -19*i + 17*i + 15 = -5*n, 0 = -i + 2*n + 6. Let p(l) be the third derivative of -1/40*l**5 + i*l - l**2 + l**3 + 0 + 3/16*l**4. Factor p(t).
-3*(t - 4)*(t + 1)/2
Let f(t) = -t**2 - t + 36. Let v be f(0). Let s be 73/(-3)*3/5*-5. Let -3*h**3 + 17*h**3 - s*h**2 + 150*h - 22*h**2 - v + 7*h**2 = 0. Calculate h.
2/7, 3
Let l = 6049 - 6047. Let 5/4*w**3 - 3/2*w**2 - 1/4*w**4 - w + l = 0. Calculate w.
-1, 2
Let n(l) = -8*l + 34. Let w be n(4). Let x(o) be the first derivative of -w*o**2 - 3*o - 1/3*o**3 - 5. Factor x(g).
-(g + 1)*(g + 3)
Suppose -3*n = 1 - 4, -2*f + 8 = 2*n. Factor f + 0*w - w**3 - 2*w - 2 - w**4 + 3*w**3.
-(w - 1)**3*(w + 1)
Suppose -p - p = -6. Suppose p - 14 = -4*b + n, 3*b + 2*n = 0. Factor -j**3 + 0 + 2/3*j - 1/3*j**b.
-j*(j + 1)*(3*j - 2)/3
Factor -3*n**2 - 5*n**3 + 30609*n**4 - 30612*n**4 - n**3.
-3*n**2*(n + 1)**2
Suppose 7*a + 2*a + 4*a - a - 27*a**2 = 0. What is a?
0, 4/9
Let g = 51701/7 + -7383. Factor g*o**3 + 54/7 + 2/7*o**4 + 108/7*o + 72/7*o**2.
2*(o + 1)*(o + 3)**3/7
Let z be (2 - (0 + 3))*12/(-6). Let r(b) be the first derivative of -1 + 4/3*b - 35/12*b**4 + 4/3*b**z - 31/9*b**3. Factor r(x).
-(x + 1)*(5*x - 2)*(7*x + 2)/3
Let c be ((-8)/12)/(56/(-2912)). Let m be 1 + 1*(-694)/(-6). What is g in -274/3*g**3 + c*g + 320/3*g**4 - 124/3*g**2 + m*g**5 - 16/3 = 0?
-1, 2/7, 2/5
Let i(k) be the second derivative of k**6/660 + k**5/165 + k**4/132 + 6*k**