**2 - 23*o - 3. Let n(q) = 50*q**3 - 130*q**2 + 45*q + 5. Let i(w) = -5*j(w) - 3*n(w). Factor i(b).
-5*b*(b - 2)*(5*b - 2)
Let m(x) be the second derivative of -x**4/3 + 28*x**3/3 - 26*x**2 + 3*x + 4. Factor m(y).
-4*(y - 13)*(y - 1)
Let t(j) be the first derivative of 0*j**2 + 4/3*j**3 + 0*j + 1/300*j**5 + 0*j**4 - 1/900*j**6 + 3. Let f(z) be the third derivative of t(z). Factor f(u).
-2*u*(u - 1)/5
Let w(c) = 7*c**3 + 15*c**2 - 5*c - 17. Let a(v) = 190*v**3 + 405*v**2 - 135*v - 460. Let s(x) = -2*a(x) + 55*w(x). Solve s(r) = 0 for r.
-3, -1, 1
Let d be (6/(-10))/(1/(-5)). Factor -4*o**d + 0 - 21/2*o**4 + 2*o**2 + 0*o.
-o**2*(3*o + 2)*(7*o - 2)/2
Suppose 5*i - 10 = -u - 30, -2*i = 8. Suppose 4*o + 4*g + 4 = u, -4*o + 5*g + 23 = -3*o. What is t in 0 + t**4 - 2/3*t + 1/3*t**o + 1/3*t**5 - t**2 = 0?
-2, -1, 0, 1
Suppose -3*i = -29 + 20. Suppose p + 7 = i*j, 0 = 4*p - j - 5. Suppose -g**p + 3/2*g**5 + g**4 + 0*g + 0 - 3/2*g**3 = 0. Calculate g.
-1, -2/3, 0, 1
Let r(u) be the second derivative of -1/48*u**5 + 18*u + 1/24*u**4 + 1/360*u**6 + 0 - 1/3*u**2 + 1/18*u**3. Factor r(t).
(t - 2)**3*(t + 1)/12
Let j(g) be the second derivative of g**6/120 + 67*g**5/20 + 4489*g**4/8 + 300763*g**3/6 + 20151121*g**2/8 + 23*g. Factor j(z).
(z + 67)**4/4
What is g in 1/6*g**2 + 0 - 7/2*g = 0?
0, 21
Let u = -36 - -38. Let q(o) be the second derivative of -6*o**u + 2*o**3 + 0 - 1/4*o**4 + 5*o. What is b in q(b) = 0?
2
Suppose 2*y - x = 8, -y - 6 = 3*x - 3. What is k in 4*k + 7*k**y + 7*k**2 + 9*k**3 + 13*k**2 = 0?
-1, -1/4, 0
Let f = -3 - -6. Let 104*u**f + 203*u**3 - 576*u**4 - 16 + 92*u**2 - 80*u + 173*u**3 = 0. Calculate u.
-1/4, 2/3
Let t(q) = -2*q**2 - 10*q + 31. Let p be t(-7). Suppose 4*v - p*v + 4*c = -5, 4*c + 23 = 5*v. Find r, given that -4/3 - 5/3*r**v - 4/3*r + 13/3*r**2 = 0.
-2/5, 1, 2
Let u(h) = -h**4 - h**3 - 3*h. Let l(p) = -9*p**4 + 239*p**3 - 897*p**2 + 427*p - 49. Let a(z) = l(z) + 7*u(z). Suppose a(x) = 0. What is x?
1/4, 7
Suppose -2*m - 12 = 3*u, 31*u = 33*u - 5*m - 30. Let 1/8*c**2 + 1/4*c + u = 0. What is c?
-2, 0
Let w(r) be the second derivative of r**6/660 + r**5/110 + r**4/66 + 2*r**2 + 22*r. Let a(u) be the first derivative of w(u). Suppose a(i) = 0. Calculate i.
-2, -1, 0
Suppose 0 = -3*j + 10 - 1. Suppose -308*q + 306*q + q**3 + q**j = 0. What is q?
-1, 0, 1
Determine j, given that 54*j**4 + 21*j**4 + 1 + 9 + 65*j**3 - 85*j**2 - 65*j = 0.
-1, 2/15, 1
Let s(k) be the second derivative of k**7/168 - 7*k**6/60 - 7*k**5/16 + 11*k**4/12 + 17*k**3/6 - 8*k**2 - 480*k. Determine p so that s(p) = 0.
-2, 1, 16
Suppose -5*p - 47 = -4*u + 2*u, 0 = u - 3*p - 23. Let z be (-4)/16 - u/(-8). Factor 6*a + 3 + 5*a**2 + a**2 + 3*a + 3*a**2 + 3*a**z.
3*(a + 1)**3
Suppose 8/3 - 2/3*h**2 + 0*h = 0. Calculate h.
-2, 2
Factor 22445/4 + 5/4*z**2 - 335/2*z.
5*(z - 67)**2/4
Let c(q) be the second derivative of -q**9/22680 + q**7/3780 - 5*q**4/4 + 17*q. Let l(a) be the third derivative of c(a). Suppose l(b) = 0. What is b?
-1, 0, 1
Let d(k) be the second derivative of k**6/1020 - k**5/510 - 5*k**4/204 - k**3/17 - 23*k**2/2 - 13*k. Let j(p) be the first derivative of d(p). Factor j(t).
2*(t - 3)*(t + 1)**2/17
Let p be (-13 - -9)/(44/(-6) + 0). Solve 0*q**3 + 4/11*q + 0 + 2/11*q**4 - p*q**2 = 0.
-2, 0, 1
Let b(g) = -3*g**2 - 2*g + 2. Let y(v) = v**2 - 2*v - 1. Let t(l) = -b(l) - 2*y(l). Let t(z) = 0. What is z?
-6, 0
Let a(d) be the second derivative of -32/3*d**3 - 2/21*d**7 + 32/3*d**4 - 24/5*d**5 + 16/15*d**6 + 0 + 8*d + 0*d**2. Factor a(n).
-4*n*(n - 2)**4
Let d(q) be the second derivative of q**10/120960 - q**8/8960 + q**7/5040 - q**4/4 - q. Let v(h) be the third derivative of d(h). Factor v(c).
c**2*(c - 1)**2*(c + 2)/4
Let h(l) = -7*l**3 - 3*l**2 + 4*l - 4. Let m be (-2 - -3 - 0)/1. Let k(b) = 3*b**3 + m - 18*b + 3*b**3 - 5*b**3 + 17*b. Let x(z) = -h(z) - 4*k(z). Factor x(y).
3*y**2*(y + 1)
Let w(f) be the first derivative of 8/9*f - 5/9*f**2 + 2/27*f**3 - 3. Let w(y) = 0. Calculate y.
1, 4
Suppose 23*q - 36 + 1048 = 0. Let k be 0 - q/(-10) - -5. Suppose -6/5*a**2 + 3/5*a + k + 3/5*a**4 + 3/5*a**5 - 6/5*a**3 = 0. Calculate a.
-1, 1
Let k(y) be the third derivative of y**5/15 + 19*y**4/3 + 722*y**3/3 + 27*y**2. Factor k(p).
4*(p + 19)**2
Let t(g) = g**4 + 2*g**3 - 2*g - 1. Let x(r) = 12*r**4 + 37*r**3 + 10*r**2 - 22*r - 7. Let a(j) = -14*t(j) + 2*x(j). Factor a(f).
2*f*(f + 1)*(f + 4)*(5*f - 2)
Let l(s) = 20*s**2 - 95*s - 100. Let x be 174/(-12) - (-2 - 10/(-4)). Let z(f) = 5*f**2 - 24*f - 25. Let o(v) = x*z(v) + 4*l(v). Determine u so that o(u) = 0.
-1, 5
Let w(o) be the first derivative of 7*o**6/24 + 93*o**5/20 + 153*o**4/8 + 83*o**3/3 + 9*o**2 + 76. Determine y, given that w(y) = 0.
-9, -2, -2/7, 0
Let t be (-12)/16 + (-27)/(-4). Let o be (-4)/t - 22/(-6). Factor -2*z**2 + 12*z**o - 15*z**3 + 2*z**2.
-3*z**3
Let h(p) = -p**2 + 10*p + 30. Let t be h(12). Factor -8*c**4 + 14*c**2 - 14*c**2 - t*c**5 + 2*c**3 + 6*c**3.
-2*c**3*(c + 2)*(3*c - 2)
Let n(g) be the third derivative of g**10/6048 - g**9/756 + 5*g**8/1344 - g**7/252 + 3*g**4/4 + 9*g**2. Let l(m) be the second derivative of n(m). Factor l(a).
5*a**2*(a - 2)*(a - 1)**2
Let r(b) be the third derivative of b**5/160 + 9*b**4/64 + 5*b**3/4 - 2*b**2 - 73. Solve r(p) = 0.
-5, -4
Let i be (-4 - (-104)/14) + 6/(-14). Let s be (-45)/(-6)*i*1/15. Factor 3/2*v - 1/2 + 1/2*v**3 - s*v**2.
(v - 1)**3/2
Let y = -74351/5 + 14947. Let v = 77 - y. Solve 0*c + 0 + v*c**2 = 0.
0
Let x(s) be the third derivative of -s**5/240 + 7*s**4/24 + 107*s**2 - 2*s. Factor x(h).
-h*(h - 28)/4
Let y = -18/25 + 298/275. Let 6/11*j**2 + y - 10/11*j = 0. What is j?
2/3, 1
Suppose -7/5*l**3 + 0 + 8/5*l + 2*l**2 = 0. Calculate l.
-4/7, 0, 2
Let c(r) be the second derivative of -r**4/30 - 8*r**3/15 + 21*r**2 - 348*r. Suppose c(h) = 0. Calculate h.
-15, 7
Let k(f) be the third derivative of -f**5/12 - 5*f**4/3 - 40*f**3/3 - 48*f**2. Solve k(z) = 0.
-4
Suppose -6*a + 6 = -6. Let f(q) be the second derivative of -1/6*q**4 + 1/6*q**3 + q**a + q - 1/20*q**5 + 0. Factor f(r).
-(r - 1)*(r + 1)*(r + 2)
Let l be 1*(18/(-54))/((-1)/9). Let q(n) be the second derivative of l*n + 0 + 27/2*n**2 + 15/2*n**3 + 3/20*n**5 + 7/4*n**4. Suppose q(o) = 0. Calculate o.
-3, -1
Let d(r) = 107*r + 428. Let k be d(-4). Suppose 0*v + 2/5*v**4 + 0*v**2 - 2/5*v**3 + k = 0. What is v?
0, 1
Let f(o) be the third derivative of o**9/43680 - o**8/21840 + o**7/32760 + 11*o**5/60 + 13*o**2. Let c(q) be the third derivative of f(q). Factor c(g).
2*g*(3*g - 1)**2/13
Let l = 10440 - 10438. Solve 15/2 - 27/4*p - 3/4*p**l = 0.
-10, 1
Factor -4459*l + 390*l**2 + 2789*l - 4469*l - 1466*l - 7*l**3 + 2*l**3.
-5*l*(l - 39)**2
Let m(d) be the second derivative of d**4/9 - 4*d**3/9 - 16*d**2/3 - 48*d + 2. Factor m(j).
4*(j - 4)*(j + 2)/3
Let g = 1976 - 1973. Factor 0*i**g + 0*i - 1/3 + 2/3*i**2 - 1/3*i**4.
-(i - 1)**2*(i + 1)**2/3
Let r(v) = 3*v + 5. Let y(f) = 2*f + 3. Let c(s) = 3*r(s) - 5*y(s). Let q be c(-7). Solve -q*l**2 + 15*l**2 + 2*l**3 + 8 + 0*l**3 + 10*l - 4 = 0 for l.
-2, -1
What is n in 10*n**2 - 26/3*n - 2*n**5 + 32/3*n**3 - 25/3*n**4 - 5/3 = 0?
-5, -1, -1/6, 1
Let f(x) be the first derivative of -4 - 5/3*x**3 + 1/5*x**5 + 0*x + x**4 + 0*x**2. Factor f(w).
w**2*(w - 1)*(w + 5)
Factor 11*y**5 - 123*y + 11*y**3 - 10*y**5 + 6*y**2 + 123*y + 6*y**4.
y**2*(y + 1)*(y + 2)*(y + 3)
Let h(w) be the third derivative of 0*w + 0 - 5/2*w**3 + 1/2*w**4 - 20*w**2 + 1/20*w**5. Find v, given that h(v) = 0.
-5, 1
Let l be (3 - 3) + 1*-14. Let a = l + 16. Suppose 8*s**3 - 12*s**a + 15*s - 3 - 23*s + 10*s**4 + 5 = 0. What is s?
-1, 1/5, 1
Let u(f) be the second derivative of f**9/112 - f**8/35 + f**7/56 + f**6/60 + 13*f**3/6 - 41*f. Let b(t) be the second derivative of u(t). Solve b(d) = 0.
-2/9, 0, 1
Determine p, given that 189*p + 7*p**3 + 92 - 4*p**3 + 57*p**2 - 53 + 55 + 41 = 0.
-15, -3, -1
Let t be (-252)/(-30) - (15 - 7). Let -t*j + 6/5*j**4 + 0 - 6/5*j**2 + 2*j**3 - 8/5*j**5 = 0. What is j?
-1, -1/4, 0, 1
Let s be 1 + 503/(-420) - 6/(-30). Let t(p) be the third derivative of -p**2 + 0*p**5 + 0*p + 0 - s*p**6 + 1/84*p**4 + 0*p**3. Solve t(d) = 0.
-1, 0, 1
Let l(n) be the second derivative of n**4/36 + 26*n**3/9 + 338*n**2/3 - 2*n - 29. Suppose l(z) = 0. Calculate z.
-26
Let l(y) b