 a**7/16 - a**6/40 - 21*a**5/160 + a**4/16 + 69*a. What is q in m(q) = 0?
-1, 0, 2/7, 1
Let a = 57 + -55. Determine w, given that 2*w**2 + 0*w**2 - 3*w**a + 4*w**2 - 6*w = 0.
0, 2
Let -3*s**3 - 2*s**2 - 5*s**2 - 18*s - 8*s**2 = 0. What is s?
-3, -2, 0
Let t(f) be the first derivative of 5/9*f**2 + 2/3*f**3 - 10 - 2/45*f**5 + 0*f + 1/6*f**4. Factor t(c).
-2*c*(c - 5)*(c + 1)**2/9
Suppose 4/3*l**4 + 0 - 8/3*l**3 - 4/3*l**2 + 8/3*l = 0. Calculate l.
-1, 0, 1, 2
Let c be (0/(-23))/(1 - -8). Factor -2/7*t**2 + 1/7*t**3 + c - 3/7*t.
t*(t - 3)*(t + 1)/7
Let b(i) be the third derivative of -i**7/8820 + i**6/1890 + i**5/420 + 19*i**3/6 + 20*i**2. Let j(c) be the first derivative of b(c). Solve j(p) = 0 for p.
-1, 0, 3
Let a(s) = -s**3 - 7*s**3 - 8 - 3*s - 5*s**3 + 16*s + 13*s**2. Let g(t) = -20*t**3 + 20*t**2 + 20*t - 12. Let m(z) = 8*a(z) - 5*g(z). Let m(p) = 0. Calculate p.
-1, 1
Let v(g) be the third derivative of -g**7/1260 + g**6/180 - 19*g**4/24 - 3*g**2. Let x(i) be the second derivative of v(i). Factor x(f).
-2*f*(f - 2)
Let b(i) = -6*i**2 - 115*i + 10. Let c(j) = 21*j**2 + 402*j - 36. Let f(z) = 18*b(z) + 5*c(z). What is r in f(r) = 0?
-20, 0
Let h(j) be the second derivative of 0*j**4 + 1/120*j**5 - 12*j + 0*j**2 - 1/36*j**3 + 0. Factor h(b).
b*(b - 1)*(b + 1)/6
Let k = -15/1136 - -2347/5680. Factor -k*b - 432/5*b**4 + 0 - 216/5*b**3 - 36/5*b**2.
-2*b*(6*b + 1)**3/5
Suppose 3*s + 3*r + 9 = 3, 5*r = -25. Suppose -s*z - 14*z = z. Solve z + 1/2*g**3 + 0*g + 1/6*g**4 + 1/3*g**2 = 0 for g.
-2, -1, 0
Let r(i) be the third derivative of i**6/540 + 4*i**5/135 + 5*i**4/36 + 265*i**2. Factor r(x).
2*x*(x + 3)*(x + 5)/9
Let z = 10745/9 - 1193. Suppose -20/9*v**4 + 56/9*v**2 - 106/9*v**3 + 0 + 50/3*v**5 - z*v = 0. What is v?
-1, 0, 1/3, 2/5
Let l(r) = r**2 - r - 40. Let a(k) = 3*k + 85. Let d be a(-26). Let s be l(d). Factor 0*c + 2/3*c**3 + 0*c**s + 0.
2*c**3/3
Let f(r) be the first derivative of -28*r**3/39 - r**2 + 2*r/13 + 39. Suppose f(m) = 0. Calculate m.
-1, 1/14
Determine y, given that 1/2*y**2 + 20000 - 200*y = 0.
200
Suppose -5*o + 5*r + 215 = 0, 6*r = -4*o + r + 199. Let s = -43 + o. Factor 0*x + 1/3*x**s - 1/3*x**2 + 0.
x**2*(x - 1)/3
Let r = -181/70 + 108/35. Let h**2 + r*h + 1/2*h**3 + 0 = 0. Calculate h.
-1, 0
Let z = 35 - 32. Let 0 + z*o**2 + 23*o + o**3 - 23*o - 4 = 0. What is o?
-2, 1
Let 3/8*z**4 + 0*z**2 - 3/8*z**3 + 0 + 0*z = 0. Calculate z.
0, 1
Let z(c) be the third derivative of c**5/12 - 155*c**4/6 - 3*c**2 - 5. Factor z(j).
5*j*(j - 124)
Let u(r) be the third derivative of -r**6/840 - 3*r**5/140 - 5*r**4/56 - 7*r**3/3 + 24*r**2. Let a(g) be the first derivative of u(g). Factor a(n).
-3*(n + 1)*(n + 5)/7
Let f = 8373 + -8371. Solve -4*t - 16/9 - 4/9*t**3 - 8/3*t**f = 0.
-4, -1
Let w = -847 - -849. Let m(u) be the second derivative of 0*u**w + 1/4*u**4 + 3/20*u**5 - 2*u + 0 - u**3. Factor m(c).
3*c*(c - 1)*(c + 2)
Suppose 0 + 36/7*d**2 - 38/7*d + 2/7*d**3 = 0. What is d?
-19, 0, 1
Let w be 13/1 - -7*(-4)/28. Suppose -3*q - 7*g + 3*g + w = 0, 4*g + 16 = 4*q. Let 0*j - 4/9*j**2 + 2/9*j**q + 0*j**3 + 2/9 = 0. Calculate j.
-1, 1
Let b(w) be the first derivative of 11*w**6/18 - 2*w**5/5 - 11*w**4/12 + 2*w**3/3 + 137. Let b(r) = 0. Calculate r.
-1, 0, 6/11, 1
Let p = -182 + 2731/15. Let a(u) be the third derivative of p*u**6 + 0*u + 0*u**3 + 2*u**2 + 1/15*u**7 + 0*u**4 + 2/105*u**5 + 0. Factor a(q).
2*q**2*(7*q + 2)**2/7
Let -1/2*j - 2*j**2 + 1/4 - 1/2*j**3 + j**5 + 7/4*j**4 = 0. What is j?
-1, 1/4, 1
Let j(f) = f**3 - 93*f**2 - 668*f + 772. Let g(y) = y**3 + y + 1. Let k(i) = -4*g(i) + j(i). Factor k(a).
-3*(a - 1)*(a + 16)**2
Let m(f) be the second derivative of -f**5/240 - f**4/32 - f**3/12 + 10*f**2 - 48*f. Let r(d) be the first derivative of m(d). Factor r(u).
-(u + 1)*(u + 2)/4
Suppose 4*c = 7*c - 6. Let a(h) be the first derivative of 1/5*h**c + 1/15*h**3 + 5 + 1/5*h. Factor a(s).
(s + 1)**2/5
Let h(a) be the third derivative of -a**7/630 + 7*a**6/360 - a**5/15 - a**4/18 + 8*a**3/9 - 7*a**2. Solve h(r) = 0.
-1, 2, 4
Factor -90*n**3 + 189*n**3 - 36*n - 30*n**2 - n + 2*n - 94*n**3.
5*n*(n - 7)*(n + 1)
Suppose -5*i + 110 = -2*f, 76 = -2*f - 4*i + 2. Let w be (-9)/(f/25) - 3. Determine s, given that 2/3*s + 0 + 2/3*s**w = 0.
-1, 0
Solve 16/7*q + 0 + 6/7*q**4 - 24/7*q**2 + 4/7*q**5 - 20/7*q**3 = 0 for q.
-2, 0, 1/2, 2
Let v(t) be the third derivative of -t**5/48 - 35*t**4/48 - 65*t**3/24 + 81*t**2. Factor v(r).
-5*(r + 1)*(r + 13)/4
Let h(q) be the third derivative of -1/15*q**5 + 0 - 8*q**2 + 8/3*q**3 + 0*q**4 + 0*q. Determine b so that h(b) = 0.
-2, 2
Let t(y) be the third derivative of y**6/360 + y**5/9 + 17*y**4/72 - 19*y**3/9 - 14*y**2 - 4. Suppose t(q) = 0. What is q?
-19, -2, 1
Suppose -15 = -9*g + 4*g. Suppose 3 = 3*k + 2*y - 8, 0 = 2*k - 5*y - 20. Solve -k*b**3 + 6*b**3 - g*b**5 + 5*b**3 + b**5 - 4*b**2 = 0.
-2, 0, 1
Suppose 3*a - 4*u + 14 = 0, -1 + 7 = -2*a + 2*u. Let -12*b + 12 + 10*b**a + 6*b + 40*b = 0. Calculate b.
-3, -2/5
Let w be -3 - 63/(-18)*(-4 - -5). Determine h so that 0*h + h**4 + 0 + 0*h**2 + w*h**5 + 1/2*h**3 = 0.
-1, 0
Suppose 4*a = -3*t + 72, -2*a = -2*t - a + 48. Factor 31*v**2 + 27 - 72*v + 143*v**4 - t*v**3 - 140*v**4 + 35*v**2.
3*(v - 3)**2*(v - 1)**2
Let u(n) be the third derivative of -n**5/80 - 9*n**4/64 - 9*n**3/16 - 27*n**2. Factor u(w).
-3*(w + 3)*(2*w + 3)/8
Suppose 8*f - 471 = 65. Let q = f + -199/3. Factor -q - 2/3*w**2 - 4/3*w.
-2*(w + 1)**2/3
Let v(x) = -3*x**3 + 23*x**2 - 49*x - 79. Let t(q) = 3*q**3 - 24*q**2 + 48*q + 78. Let d(w) = -4*t(w) - 3*v(w). Factor d(u).
-3*(u - 5)**2*(u + 1)
Let f(n) = -35*n**2 - 80*n + 30. Let i(k) = -52*k**2 - 120*k + 45. Let u(t) = 7*f(t) - 5*i(t). Find a, given that u(a) = 0.
-3, 1/3
Let n = -141 + 181. Suppose -9*u - n = -58. Suppose -32/5*b - 4/5*b**3 - 22/5*b**4 - 8/5 + 66/5*b**u = 0. What is b?
-2, -2/11, 1
Let g = -8 + 14. Suppose -21*h**3 + 4*h**2 + 23*h**2 + 17*h**2 - 9*h - g - 8*h**2 = 0. Calculate h.
-2/7, 1
Let d be ((-870)/1827)/((-4)/(-6))*8/(-5). Suppose -16/7 + d*f - 1/7*f**2 = 0. What is f?
4
Suppose -6*w + 13 = -11. Suppose 0 = 3*r - d - 8, 3*d + 14 = w*r - 0*r. Determine z, given that 3/5*z + 1/5 + 2/5*z**r = 0.
-1, -1/2
Find j, given that 2/15*j**3 + 0*j + 0 - 4/15*j**2 = 0.
0, 2
Let q(u) = -u**3 - 75*u**2 + u + 77. Let i be q(-75). Determine c so that 0*c**i + 3/7*c + 0 - 3/7*c**3 = 0.
-1, 0, 1
Suppose -5*x - 22 = -4*v, 8*v - 3*x = 6*v + 12. Factor 0*z + 0*z**2 + 0 - 16/3*z**v + 4/3*z**5 - 4*z**4.
4*z**3*(z - 4)*(z + 1)/3
Let n = -140 - -145. Let a(w) be the second derivative of -1/10*w**6 - w**3 + 0*w**4 + 3/2*w**2 - w + 0 + 3/10*w**n. Factor a(z).
-3*(z - 1)**3*(z + 1)
Solve -1/5*d**5 - 2/5*d**4 + 8/5*d**3 - 32/5 - 16/5*d + 16/5*d**2 = 0 for d.
-2, 2
Let c = 38 - -3. Factor 0*v + c*v**2 + v**3 + 5*v - 46*v**2 + v**4 - 2*v.
v*(v - 1)**2*(v + 3)
Suppose -s = 2*z + z - 290, 0 = -5*z - s + 486. Let u = z - 95. Factor -3/5*f**2 + 2/5*f**u + 0*f + 1/5.
(f - 1)**2*(2*f + 1)/5
Let o = -37 + 40. Let u(f) be the second derivative of 3/20*f**5 - 5/2*f**3 + 0 - 1/10*f**6 + 3/4*f**4 + o*f**2 - 3*f. Let u(l) = 0. Calculate l.
-2, 1
Let q = 3/1015 + 5003/24360. Let u(j) be the third derivative of -1/3*j**3 - q*j**4 + 0 + 0*j - 1/20*j**5 - 5*j**2. What is s in u(s) = 0?
-1, -2/3
Let x be 48/15 - (0 + 15 - 12). Factor 3/5*f**2 - 3/5*f**3 + 1/5*f**4 + 0 - x*f.
f*(f - 1)**3/5
Factor 14*o**3 - 2*o**4 + 64 - 110*o + 31 - 29 + 6*o**2 - 166.
-2*(o - 5)**2*(o + 1)*(o + 2)
Let f be 14/5 - 84/(-420). Let w(z) be the third derivative of 0 - 1/280*z**7 - 1/16*z**6 + 2*z**2 + 0*z - 27/16*z**4 - 9/20*z**5 - 27/8*z**f. Factor w(g).
-3*(g + 1)*(g + 3)**3/4
Let x(w) be the second derivative of -5*w**7/21 - 8*w**6/5 - w**5/2 + 7*w**4 - 8*w**3/3 - 4*w - 54. Suppose x(j) = 0. What is j?
-4, -2, 0, 1/5, 1
Factor -12*n - 2*n - 5624*n**2 - 4*n**3 - 2*n**5 + 5608*n**2 + 4*n**4 - 4 + 4*n**5.
2*(n - 2)*(n + 1)**4
Let p = 15178 + -60711/4. What is x in -3/4*x**3 + 3/4*x**2 - p*x + 0 + 1/4*x**4 = 0?
0, 1
Suppose -y - 3*y = -8. Factor -10 - 29*m**2 + 55*m**2 - 21*m**y + 5*m.
5*(m - 1)*(m + 2)
Let z(g) be the first derivative of 5*g**3/3 - 100*g**2 + 2000*g + 49. Let z(v) = 0. What is v?
20
Let n(i) be the second derivative of -i**4/21 + 148*i**3/21 - 2738*i**2/7 - i - 39. Find f 