/(-497) + 20/14. Factor 1/7*s**2 - j - 13/7*s.
(s - 14)*(s + 1)/7
Let f(r) be the second derivative of -r**7/63 - 4*r**6/45 + 7*r**4/9 + 17*r**3/9 + 2*r**2 + 12*r. Determine x, given that f(x) = 0.
-3, -1, 2
Let t = -35 + 38. What is v in 5 - v**2 - 2 - 3*v - t = 0?
-3, 0
Let q(g) = -g**2 + 4*g. Let j be q(4). Suppose j*c + 8 = 4*c. Find d, given that 11*d**c + 30*d**5 + 22*d**5 - 35*d**4 + 24*d**2 + 8*d**5 - 55*d**3 - 5*d = 0.
-1, 0, 1/4, 1/3, 1
Let k = -23 + 27. Let c(a) be the second derivative of a**2 - 2*a - a**3 - 1/10*a**5 + 1/2*a**k + 0. Suppose c(q) = 0. What is q?
1
Let r be (-54)/(-12) - (-2)/(-4). Determine j, given that -j**5 + 8*j**3 + r*j**4 - j**4 - j**2 - 11*j**3 + 2*j**2 = 0.
0, 1
Let h = 20865 - 20863. Factor 2/11*g**h + 12/11 - 14/11*g.
2*(g - 6)*(g - 1)/11
Let g be (-30)/(-2)*(-15 - -18). Let t be (((-3)/g)/1)/(1/(-3)). Factor 4/5*i + 0 - t*i**2.
-i*(i - 4)/5
Let n be (-1*8/144)/(-1). Let v(b) be the second derivative of 0 + 1/9*b**3 - 2/3*b**2 + n*b**4 - 3*b. Suppose v(y) = 0. What is y?
-2, 1
Let f(c) be the third derivative of c**6/40 + 3*c**5/20 - c**4/8 - 3*c**3/2 + 119*c**2. Factor f(q).
3*(q - 1)*(q + 1)*(q + 3)
Let o(y) = 6*y**2 + 28*y - 20. Let s(x) = 2*x**2 + 9*x - 6. Let c(g) = 6*o(g) - 20*s(g). Factor c(b).
-4*b*(b + 3)
Suppose 56*f - 61 = 51. Solve -5/6*n**5 + 8/3*n**f + 7/6*n - 1/3 - 7/3*n**4 - 1/3*n**3 = 0 for n.
-2, -1, 1/5, 1
Let o(r) be the second derivative of 8*r**5/5 + 116*r**4/3 + 113*r**3/3 + 14*r**2 + 132*r. Solve o(y) = 0 for y.
-14, -1/4
Let o(v) be the third derivative of -v**6/160 + 11*v**5/160 - 3*v**4/16 - 4*v**3/3 - 6*v**2. Let u(z) be the first derivative of o(z). What is n in u(n) = 0?
2/3, 3
Let p = 8 - -54. Let y = p + -40. Let 12*j**3 + 18*j**2 - y*j**2 - 3 + 3 - 8*j = 0. Calculate j.
-2/3, 0, 1
Let o be (-36)/(-234)*-6*3/(-9). Factor -2/13*h**2 + 0 + o*h.
-2*h*(h - 2)/13
Factor -23*y + 6*y + 8*y - 6 - 3*y**2.
-3*(y + 1)*(y + 2)
Suppose -2*c**4 + 8/3*c**3 - 8/3 + 14/3*c**2 - 8/3*c = 0. Calculate c.
-1, -2/3, 1, 2
Let t be ((-6)/(-9))/(2/21). Suppose 0 = 2*r - t*r + 3*v + 17, -3*v = -r + 1. Factor -3*b**4 - 5*b**3 - 2*b**3 + r*b**3.
-3*b**3*(b + 1)
Let v(y) be the first derivative of -y**3/7 + 174*y**2/7 + 842. Find a such that v(a) = 0.
0, 116
Suppose 0 = -57*o + 62*o. Suppose -i - 5*p - 15 = o, 3*i - 2*p + 9 = -5*p. What is g in 1/6*g**3 - 1/3 - 1/2*g + i*g**2 = 0?
-1, 2
Let y(o) be the second derivative of 0 + 1/12*o**4 - 6*o - 1/12*o**5 + 2/3*o**2 + 2/3*o**3. Suppose y(x) = 0. What is x?
-1, -2/5, 2
Let w(l) be the first derivative of -l**7/126 - l**6/30 + l**4/9 - 8*l - 24. Let t(i) be the first derivative of w(i). Factor t(k).
-k**2*(k - 1)*(k + 2)**2/3
Let y = 85/219 - 4/73. Let o(j) be the first derivative of -y*j**6 + 16/9*j**2 - 14/15*j**5 + 8/9*j - 4 - 7/18*j**4 + 34/27*j**3. Solve o(b) = 0.
-1, -2/3, 1
Let a = 3536/1465 + -4/293. Let 0*f + 0 - 3/5*f**5 + a*f**4 - 3*f**3 + 6/5*f**2 = 0. What is f?
0, 1, 2
Let h(b) be the second derivative of 5/12*b**3 + 1/2*b**5 + 0 - 1/8*b**2 - 2/15*b**6 - 11/16*b**4 - 17*b. Suppose h(o) = 0. Calculate o.
1/4, 1
Suppose -2*q - 8 = -a, q - 4*q - 17 = a. Let z be 1 + -3 + (-3)/(-1). Let c(f) = f**2 + f. Let i(l) = 6*l**2 + 4*l - 2. Let w(g) = q*c(g) + z*i(g). Factor w(y).
(y - 2)*(y + 1)
Let g(t) be the first derivative of -t**4/2 - 34*t**3/3 + t**2 + 34*t - 131. Suppose g(y) = 0. What is y?
-17, -1, 1
Solve -88*q - 4*q**4 + 24*q**3 - 17*q**4 + 25*q**4 + 60 = 0.
-5, -3, 1
Determine r, given that -148*r**2 + 261*r**2 - 128*r**2 + 20*r**3 + 37 - 50*r + 3 + 5*r**4 = 0.
-4, -2, 1
Suppose 4*o - 6*o + 6 = 0. Suppose t - 252 = -o*t. Factor -t - 2*l**2 + 57 + 3*l + 5*l**2.
3*(l - 1)*(l + 2)
Determine j so that 1/2 + 1/4*j**5 + 1/8*j**4 - 19/8*j - 19/8*j**3 + 31/8*j**2 = 0.
-4, 1/2, 1
Factor -39/2 + 3/4*v**2 + 33/4*v.
3*(v - 2)*(v + 13)/4
Let j(b) be the first derivative of b**3/3 + 15*b**2/2 - 16*b + 11. Factor j(w).
(w - 1)*(w + 16)
Suppose 0 = -2*j - 4, -2*g = 2*g - 2*j - 4. Factor g*s - 3*s**3 - s**2 + 219*s**4 - 218*s**4 + 3*s.
s*(s - 3)*(s - 1)*(s + 1)
Let t(i) = -5*i + 4*i + 14 - 7*i + i**2. Let m be t(6). Factor 10*x + x**2 + x**m + 2 - 6*x.
2*(x + 1)**2
Factor 0*c + 14/3*c**3 + 0*c**2 + 0 + 44/3*c**4 + 2*c**5.
2*c**3*(c + 7)*(3*c + 1)/3
Let h(y) be the third derivative of 1/18*y**4 + 0 + 0*y + 1/90*y**5 + 25*y**2 + 1/9*y**3. Factor h(a).
2*(a + 1)**2/3
What is u in 0 - 9/5*u - 21/5*u**2 - 6/5*u**3 = 0?
-3, -1/2, 0
Let q(r) be the second derivative of -2*r**7/21 - 4*r**6/3 - 9*r**5/5 + 689*r. Suppose q(x) = 0. Calculate x.
-9, -1, 0
Let z = -26 - -26. Suppose -c - 4 = -2*l - 3*c, l - 2*c - 2 = z. Factor 11*x**2 + 10*x**2 + 48 - 18*x**l - 24*x.
3*(x - 4)**2
Let t(v) be the third derivative of 0 + 0*v - 2/11*v**3 + 19/132*v**4 + 15*v**2 + 7/330*v**5. Suppose t(o) = 0. What is o?
-3, 2/7
Let z(q) be the third derivative of 0*q - 5*q**3 + 30*q**2 + 35/24*q**4 + 0 - 1/12*q**5. Factor z(r).
-5*(r - 6)*(r - 1)
Let s be -1*21/(-9)*-24. Let g = s - -58. Factor -10/3*x**g + 4/3*x + 8/3*x**3 - 2/3*x**4 + 0.
-2*x*(x - 2)*(x - 1)**2/3
Let h(j) = -7*j. Let a be h(-3). Suppose 4*r - a = -3*r. Factor 1/4 + 3/2*c**2 - c**r + 1/4*c**4 - c.
(c - 1)**4/4
Suppose 5*q - 69 = -39. Factor -3*w**3 - 3*w**4 + q*w**2 + 4*w - 3*w**3 - w**4.
-2*w*(w - 1)*(w + 2)*(2*w + 1)
Let j(c) = -2*c + 3. Let i(p) = p + 1. Let x(z) = i(z) - j(z). Let h be x(3). Factor 5*u - h*u + u - 1 + 2*u**2.
(u - 1)*(2*u + 1)
Let i(s) = -s**4 - s**3 + s**2 + s + 1. Let k(n) = n**4 - 99*n**3 + 169*n**2 + 99*n - 166. Let a(y) = -4*i(y) + k(y). Find t, given that a(t) = 0.
-1, 1, 2, 17
Find t such that 0*t + 0 - 2/15*t**2 + 2/15*t**3 = 0.
0, 1
Let a(d) be the second derivative of d**5/80 + 29*d**4/16 + 43*d**3/12 + 111*d. Let a(r) = 0. What is r?
-86, -1, 0
Let i = 1/1671 + 167/31192. Let m(k) be the third derivative of 0*k**4 + 0*k**5 + 0*k**3 - 1/60*k**6 + 0*k + i*k**8 + 0*k**7 + 0 + 5*k**2. Factor m(u).
2*u**3*(u - 1)*(u + 1)
Let k = 60 - 57. Suppose -k = -c - 1. Factor 3/5*u**5 - u + 2/5*u**3 - 6/5*u**c - 1/5 + 7/5*u**4.
(u - 1)*(u + 1)**3*(3*u + 1)/5
Let l(s) = -s**3 + 6*s**2 - 15*s + 31. Let t be l(4). Factor -z + z**t + 1/3*z**2 - 2/3 + 1/3*z**4.
(z - 1)*(z + 1)**2*(z + 2)/3
Let 108/7*a**3 + 12/7*a**5 - 1020/7*a + 906/7*a**2 - 42*a**4 + 288/7 = 0. Calculate a.
-2, 1/2, 1, 24
Suppose 0*j + j - 3*t + 18 = 0, -5*j = 5*t + 10. Let n be 1 + 3 + j + 6. Suppose 2*g + 11*g**2 + 0*g**4 - 3*g**4 - n*g**2 + 2*g**3 = 0. Calculate g.
-1, -1/3, 0, 2
Let s(q) = -2*q - 22. Let j be s(-13). Determine u so that -7*u**2 + 23*u**2 + 10*u**3 + 2*u**j - 52*u + 60*u = 0.
-2, -1, 0
Let z(s) be the third derivative of s**5/105 + 3*s**4/14 + 12*s**3/7 - 172*s**2. Find h such that z(h) = 0.
-6, -3
Let d = -1/35 + 3/7. Let g be 16/6*(-252)/(-1680). Factor d + g*p**2 - 4/5*p.
2*(p - 1)**2/5
Let v(t) = -15*t**4 - 50*t**3 + t**2 + 73*t - 21. Let n(h) = -16*h**4 - 52*h**3 + 72*h - 20. Let l(i) = 3*n(i) - 4*v(i). Find p such that l(p) = 0.
-3, -2, 1/3, 1
Let h = 636661/42 + -96115/6. Let k = h + 862. Factor -2/7*a**4 - 16/7*a**2 + 0 + k*a**3 + 8/7*a.
-2*a*(a - 2)**2*(a - 1)/7
Let w(y) be the first derivative of -2*y**3/3 + 130*y**2 - 8450*y - 200. What is n in w(n) = 0?
65
Determine p so that 76*p**4 - 3*p**2 + 170*p**3 - 238*p**3 - 5*p**2 = 0.
-2/19, 0, 1
Let h be ((-28)/21)/((-4)/(-6)). Let x be (h/10)/(12/(-15)). Factor -1/4*t**3 + 0*t - x*t**2 + 0.
-t**2*(t + 1)/4
Let u(v) be the first derivative of -3*v**4/4 + 5*v**3 + 9*v**2 - 86. Factor u(t).
-3*t*(t - 6)*(t + 1)
Let f(u) be the third derivative of u**6/40 + 49*u**5/10 + 2401*u**4/8 - 10*u**2 + 2. Factor f(p).
3*p*(p + 49)**2
Let c(u) be the first derivative of 5 + 14/33*u**3 - 8/55*u**5 - 1/22*u**4 - 6/11*u + 1/11*u**2. Solve c(b) = 0.
-1, 3/4, 1
Let m be 6*2/56 + 1206/252. Solve 0 - t**2 - 3/2*t**3 + 0*t**4 + 1/2*t**m + 0*t = 0.
-1, 0, 2
Let p(a) = 4*a**2 - 78*a + 175. Let x(i) = 3*i**2 - 78*i + 174. Let y(b) = -6*p(b) + 7*x(b). Factor y(c).
-3*(c - 2)*(c + 28)
Let j(s) be the first derivative of 20 - 1/18*s**6 + 0*s - 2/15*s**5 + 0*s**3 + 0*s**2 - 1/12*s**4. Factor j(h).
-h**3*(h + 1)**2/3
Find d such that -507*d - 1/3*d**3 + 26*d**2 + 0 = 0.
0, 39
Let k(u) be the second derivative of u**5/60 - u**4/2 + 11*u**3/6 + 16*u**2 + 14*u. Let r(d) be the first derivative 