second derivative of -g**6/90 - g**5/60 + 5*g**4/12 - 23*g**3/18 + 5*g**2/3 + 2*g - 67. Factor x(p).
-(p - 2)*(p - 1)**2*(p + 5)/3
Let f = 41/223 - -769/669. Suppose -2 - f*r - 2/9*r**2 = 0. Calculate r.
-3
Let f(r) be the second derivative of -16*r**7/21 + 28*r**6/15 + 137*r**5/10 + 121*r**4/24 - 17*r**3/6 - 2*r**2 - 3*r - 8. Suppose f(o) = 0. What is o?
-2, -1/4, 1/4, 4
Let b(t) be the second derivative of -t**6/2700 - t**5/300 - t**4/90 + t**3/3 + 3*t. Let o(s) be the second derivative of b(s). Let o(h) = 0. What is h?
-2, -1
Let l be 3/(-36) + 22/88. Let j(n) be the second derivative of l*n**3 + 0 + 0*n**2 + 1/12*n**4 + 1/80*n**5 + 7*n. Find x, given that j(x) = 0.
-2, 0
Let b be (6800/(-30))/20 + 13. Determine r so that -b*r - 3/2*r**2 - 1/6 = 0.
-1, -1/9
Let p be (2/24)/(-5 + (-1132)/(-224)). Solve -p*v**2 + 8/9*v**3 - 68/9*v - 16/9 = 0.
-2, -1/4, 4
Let d(l) be the third derivative of -l**8/84 - 16*l**7/105 - 5*l**6/6 - 38*l**5/15 - 14*l**4/3 - 16*l**3/3 + 252*l**2. Solve d(b) = 0.
-2, -1
Let o be -9 + 8/(-4) + 0. Let k = -6 - o. Determine u so that 8*u - u**3 + u**2 - 2*u**3 - k*u - 7*u**2 + 6 = 0.
-2, -1, 1
Suppose -373*h - 46 + 165*h**3 - 5*h**4 + 628*h + 277*h + 616 + 915*h**2 + 783*h = 0. Calculate h.
-3, -1, 38
Let p(l) be the third derivative of 0*l**3 - 1/70*l**5 + 4*l**2 + 0 + 0*l + 1/84*l**6 - 1/42*l**4. Factor p(c).
2*c*(c - 1)*(5*c + 2)/7
Let f(i) be the first derivative of 0*i**3 + 0*i + 0*i**2 + 11 + 2/5*i**5 + i**4 - 1/3*i**6. Solve f(p) = 0.
-1, 0, 2
Let b(d) = -d**3 - 1. Let g(n) be the first derivative of -n**5/5 + 3*n**4/2 - 3*n**3 - 7*n**2/2 + 9*n + 7. Let p(s) = -22*b(s) - 2*g(s). Factor p(t).
2*(t + 1)**3*(t + 2)
Let n be (-1233)/(-135) + -2 - 5. Factor 16/15*a - n - 2/15*a**2.
-2*(a - 4)**2/15
Let s(f) be the third derivative of -f**5/210 + 61*f**4/84 - 20*f**3/7 - 3*f**2 - 13*f. Factor s(l).
-2*(l - 60)*(l - 1)/7
Factor -2/5*z**2 - 4 + 14/5*z.
-2*(z - 5)*(z - 2)/5
Let f(h) be the first derivative of h**4/4 - 8*h**3/3 + 11*h**2/2 + 11*h + 9. Let i be f(6). Solve 2*z**2 + i*z**5 + 40/3*z**3 - 7/3*z + 44/3*z**4 - 2/3 = 0.
-1, -1/3, 2/5
Let g be (-6)/14 + (0 - -1). Suppose -6209*y = -6190*y - 38. What is o in -g*o**y + 10/7*o - 4/7 = 0?
1/2, 2
Suppose -2*n = -x - 7, -2*x - 1 = -2*n - 7*x. Let m(d) be the second derivative of 0*d**2 + 0 - 3*d + 1/36*d**4 + 1/9*d**n. Suppose m(t) = 0. Calculate t.
-2, 0
Let l(o) be the first derivative of -1/30*o**5 + 0*o**3 - 1/60*o**6 + 3*o**2 + 0*o + 1/6*o**4 + 9. Let c(v) be the second derivative of l(v). Solve c(n) = 0.
-2, 0, 1
Let l be 18/(-10)*(-17)/(-153)*-15. Suppose -2/15*y**4 + 4/15*y**l - 4/15*y + 0 + 2/15*y**2 = 0. What is y?
-1, 0, 1, 2
Determine b, given that 2*b**5 - 144*b**4 + 1182*b**3 - 27648*b**2 + 147*b**3 + 2427*b**3 - 300*b**3 = 0.
0, 24
Let h(z) be the second derivative of z**4/8 - 11*z**3/4 - 39*z**2/2 - 20*z. Solve h(o) = 0.
-2, 13
Let c(w) be the second derivative of -w**6/30 - 8*w**5/15 - 8*w**4/3 - 11*w**2/2 - 7*w. Let t(l) be the first derivative of c(l). What is s in t(s) = 0?
-4, 0
Let q be 4 + (93/(-15) - -1)*7. Let p = q - -34. Factor 2/5*b**2 - p*b + 0.
2*b*(b - 4)/5
Let k be 0 + 6/21 + (-26)/91. Let j(f) be the third derivative of -1/100*f**5 + 0*f**3 + k*f + 0 - 1/600*f**6 - 6*f**2 - 1/60*f**4. Factor j(s).
-s*(s + 1)*(s + 2)/5
Let d be (125 + -123)/(6/9). Suppose 2*u**d + 6/5*u**4 - 26/5*u**2 + 12/5 - 2/5*u = 0. What is u?
-3, -2/3, 1
Let f = -52/93 - -758/1023. Factor f*i + 2/11*i**2 - 4/11.
2*(i - 1)*(i + 2)/11
Let w(b) = 4*b**2 + 3*b + 2. Let g(z) = z**2 + 6*z - 8. Let v be g(-7). Let j be w(v). Factor 6 + 12*h**2 + 0*h**3 + 5*h - 20*h - j*h**3.
-3*(h - 2)*(h - 1)**2
Let x(i) be the first derivative of 4*i**5/5 - 48*i**4 + 2488*i**3/3 - 2208*i**2 + 2116*i - 31. Factor x(o).
4*(o - 23)**2*(o - 1)**2
Suppose -3/2*h**3 + 0 - 6*h**2 + 0*h = 0. Calculate h.
-4, 0
Let -272*d**2 + 13*d + 267*d**2 + 24 + 56 - 5*d**3 + 67*d = 0. Calculate d.
-4, -1, 4
Let p = 4 + 8. Suppose -x + p = 3*x. Factor 1/2*r**2 - 1/4*r - 1/4*r**x + 0.
-r*(r - 1)**2/4
Let v(i) = 4*i**2 + i - 4. Let r(s) = 5*s**2 + s - 5. Let z(u) = -5*r(u) + 6*v(u). Let p(b) = -b**3 + 6*b**2 - 5*b - 4. Let t(q) = -p(q) - 4*z(q). Factor t(g).
g*(g - 1)**2
Let c(y) be the third derivative of -y**7/42 + y**6/24 + 16*y**5 + 520*y**4/3 - 2560*y**3/3 + 1013*y**2. Suppose c(z) = 0. Calculate z.
-8, 1, 16
Suppose 21*t = 26*t - 75. Let f be (2/t)/((-13)/(-117)). Factor 2/5*y**3 - 2/5 - f*y**2 + 6/5*y.
2*(y - 1)**3/5
Let p(f) = -5*f**3 - 95*f**2 - 599*f - 1233. Let c(b) = -30*b**3 - 570*b**2 - 3595*b - 7400. Let h(x) = -4*c(x) + 25*p(x). Factor h(t).
-5*(t + 5)*(t + 7)**2
Let 2/21 + 30/7*b**3 - 2/21*b**2 - 30/7*b = 0. Calculate b.
-1, 1/45, 1
Let a = -87 + 263/3. Let y = 43/102 - 3/34. Find q such that 3*q**2 + a - 7/3*q + y*q**4 - 5/3*q**3 = 0.
1, 2
Let q(k) be the second derivative of -22*k**7/21 + 21*k**6/10 + 23*k**5/20 - 61*k**4/12 + 7*k**3/2 - k**2 + 7*k - 28. Determine t, given that q(t) = 0.
-1, 2/11, 1/4, 1
Let q(x) be the second derivative of -5/2*x**2 - 1/20*x**4 + 0*x**3 + 3*x + 0 - 7/100*x**5. Let s(v) be the first derivative of q(v). Find n such that s(n) = 0.
-2/7, 0
Suppose -2*m + 6 = -4, 0 = 3*n + 4*m - 68. Factor -n + 12*p - 19*p + 3*p + 3*p**2 + 9*p**2.
4*(p + 1)*(3*p - 4)
Suppose -3/2*f**5 + 0 + 0*f - 3/4*f**4 + 0*f**2 + 3/4*f**3 = 0. Calculate f.
-1, 0, 1/2
Let q(j) be the third derivative of j**7/70 - 3*j**6/10 - 29*j**5/20 + 3*j**4/2 + 14*j**3 + 33*j**2 + j. Suppose q(w) = 0. Calculate w.
-2, -1, 1, 14
Let n be (1*-7 + 1)/(-5 + 3). Suppose 22 = 5*f - l - 2*l, -n*l = 4*f + 4. Suppose -f*z + 0*z**3 + 22/9*z**2 - 8/9*z**4 + 4/9 = 0. Calculate z.
-2, 1/2, 1
Let a(v) be the third derivative of -v**7/42 - v**6/24 + v**5 - 11*v**2 - 2. Let a(i) = 0. Calculate i.
-4, 0, 3
Let j be 5*(-3)/(-15)*4. Suppose -2*t = 3*u + 15, -25 = 10*t - 9*t + 4*u. Suppose 14/5*i + 3/10*i**j + 4/5 + 17/5*i**2 + 17/10*i**t = 0. Calculate i.
-2, -1, -2/3
Let n(a) be the first derivative of 4*a**5/5 + 6*a**4 + 44*a**3/3 + 12*a**2 - 110. Suppose n(d) = 0. Calculate d.
-3, -2, -1, 0
Let r(j) be the third derivative of 5*j**8/336 - 2*j**7/21 + j**6/12 + j**5/3 - 5*j**4/8 - 68*j**2. Factor r(c).
5*c*(c - 3)*(c - 1)**2*(c + 1)
Let c(n) = -3*n**5 - 85*n**4 - 128*n**3 - 5. Let a(w) = -8*w**5 - 212*w**4 - 320*w**3 - 12. Let d(i) = -5*a(i) + 12*c(i). Determine k, given that d(k) = 0.
-8, -2, 0
Suppose 13*d + 3*d - 64 = 0. Let o be 7/2*d*(-1)/(-15). Solve -o*n**5 + 56/15*n**2 + 0 - 16/15*n - 38/15*n**4 + 4/5*n**3 = 0.
-2, 0, 2/7, 1
Let o = -3881/5170 + 34/47. Let a = o + 179/110. Factor a*p**4 + 2/5*p**5 + 12/5*p**3 + 8/5*p**2 + 2/5*p + 0.
2*p*(p + 1)**4/5
Suppose 0 = 6*o - 23*o + 561. Let a be ((-2)/(-14))/(o/77). Factor -1/3*b**2 + a*b**3 - 1/3*b + 0 + 1/3*b**4.
b*(b - 1)*(b + 1)**2/3
Determine o, given that 340/3*o - 2/3*o**2 - 14450/3 = 0.
85
Let b(f) = f**2 - 62. Let k be b(-8). Factor 0 - 1/2*a + 1/4*a**k.
a*(a - 2)/4
Let c = 94 + -128. Let d = c - -34. Factor d + 2/5*n**5 - 4/5*n**2 - 2/5*n + 4/5*n**4 + 0*n**3.
2*n*(n - 1)*(n + 1)**3/5
Let r(l) be the third derivative of -l**5/12 - 5*l**4 - 120*l**3 - 2*l**2 + 3. Let r(s) = 0. Calculate s.
-12
Factor 715*q - 960*q**2 - 63*q**3 + 309*q + 41377*q**4 - 41378*q**4.
-q*(q - 1)*(q + 32)**2
Let q = -6915 - -48479/7. Solve q*c**3 - 104/7*c + 12/7*c**2 - 16/7 - 26/7*c**4 = 0.
-1, -2/13, 2
Let s(i) = 4*i + 1. Let d be s(5). Determine p, given that d*p - 4*p**2 - 36 + 3*p + 0*p = 0.
3
Let u(n) be the third derivative of -n**7/20 + 13*n**6/40 + 17*n**5/8 + 4*n**4 + 3*n**3 + 35*n**2. Let u(b) = 0. What is b?
-1, -2/7, 6
Let t(h) be the first derivative of 2/5*h**3 - 14 + 0*h**2 + 0*h + 1/2*h**6 - 6/25*h**5 - 3/4*h**4. Solve t(y) = 0 for y.
-1, 0, 2/5, 1
Let d be (-15)/(-5)*1 - 1. Suppose 21 = d*b + 5*b. Factor -4/3*i + 0*i**2 + 1/3*i**b + 0.
i*(i - 2)*(i + 2)/3
Suppose 6*q = 2*d + 2*q + 8, 9 = 3*d + q. Let y = 2955 + -2952. Suppose 1/4*o**d + 0 + 1/4*o**y + 0*o = 0. Calculate o.
-1, 0
Suppose 3*n**3 + 25*n + 4*n**2 + 19*n + 4*n - 7*n**3 - 8*n**2 = 0. What is n?
-4, 0, 3
Suppose 0*q = -3*j + 4*q - 6, -4*j + 20 = 4*q. Let y = -231 + 238. Factor y*s**2 + 2*s**3 + 2*s + 5*s**3 + 2*s**j + 0*s**3.
s*(s + 1)*(7*s + 2)
Let b = -50 + 53. Let c be -9*(6/b)/(-24). Suppose c*r**2 - 3/2*r