- 13*u**5/60 + 8*u**2. Let k(n) be the third derivative of q(n). Factor k(d).
5*(d + 1)**2*(d + 3)
Let l(p) be the third derivative of -p**5/20 - 77*p**4/12 - 17*p**3/2 - 106*p**2 + 2. Factor l(a).
-(a + 51)*(3*a + 1)
Let o(h) = -68*h + 2. Let i be o(0). Factor -14/5*s - i*s**2 - 4/5.
-2*(s + 1)*(5*s + 2)/5
What is o in 4*o**2 + 2/5*o - 2/5*o**3 - 4 = 0?
-1, 1, 10
Let u(a) = -a + 7. Let h be u(5). Let f be (h + -3)/((-3)/6). Factor 1 - 5/2*l**4 - 13/2*l**3 - 9/2*l**f + 1/2*l.
-(l + 1)**3*(5*l - 2)/2
Find p, given that -10 + 17*p**4 - 9*p**3 + 15*p + 5*p**2 + 2*p**4 - 14*p**4 - 6*p**3 = 0.
-1, 1, 2
Let f(p) be the second derivative of -5*p**4/18 + 115*p**3/18 + 10*p**2 + p + 55. Factor f(j).
-5*(j - 12)*(2*j + 1)/3
Let p(l) be the third derivative of -l**7/210 - l**6/15 + l**5/20 + 11*l**4/12 - 8*l**3/3 - 12*l**2 + 3. Factor p(f).
-(f - 1)**2*(f + 2)*(f + 8)
Let a be ((-2)/4)/(2/(-12)). Factor -2*b - 70*b**2 - 3*b**a + 67*b**2 + 2*b**3.
-b*(b + 1)*(b + 2)
Let b(h) be the third derivative of h**6/240 + 11*h**5/120 + 19*h**4/48 + 3*h**3/4 + 6*h**2 + 3*h. Let b(v) = 0. Calculate v.
-9, -1
Let c(j) be the third derivative of 0 + 11/840*j**8 + 0*j - 4/105*j**7 + 0*j**3 + 0*j**4 + 22*j**2 + 0*j**5 - 1/75*j**6. Factor c(l).
2*l**3*(l - 2)*(11*l + 2)/5
Let w(v) be the second derivative of -7*v**4/48 - 11*v**3/24 + 3*v**2/4 + 31*v. Determine h so that w(h) = 0.
-2, 3/7
Let s(w) = -588*w + 9410. Let j be s(16). Factor 0 + 0*k + 2/9*k**4 + 0*k**3 + 0*k**j.
2*k**4/9
Suppose 3*o + 20 = 4*x, 13*o = 9*o + 4*x - 20. Determine j, given that -1/3*j**5 - j**3 + 0 + j**4 + o*j + 1/3*j**2 = 0.
0, 1
Let v(b) be the third derivative of -2/3*b**3 + 0*b**4 + 5*b**2 + 0*b - 1/120*b**6 + 1/336*b**8 + 0 + 7/60*b**5 - 1/70*b**7. Factor v(j).
(j - 2)**2*(j - 1)*(j + 1)**2
Let i(u) be the third derivative of -2*u**2 + 3/2*u**4 + 0*u + 1/90*u**6 + 0 - 3/2*u**3 - 1/5*u**5. Let m(k) be the first derivative of i(k). Factor m(o).
4*(o - 3)**2
Factor -53 - 2*q**2 + 10*q + 7 + 20 + 14.
-2*(q - 3)*(q - 2)
Let x(q) = -q - 5. Let h be x(-4). Let b be (-7)/14*(-5 + h). Let -18*j**4 + 2*j - 14*j**2 + 17*j**3 - 5*j**3 + 18*j**b = 0. Calculate j.
0, 1/3, 1
Let v(y) = 6*y**2 - y - 1. Let w be v(-1). Let b = 8 - w. Factor 8*o**2 - 1 - 7*o**2 + b*o + 2.
(o + 1)**2
Let u(c) be the second derivative of -2*c**7/105 + 4*c**6/75 + 7*c**5/25 - 8*c**4/15 - 8*c**3/5 + c - 333. Find q such that u(q) = 0.
-2, -1, 0, 2, 3
Let a = 29 + -25. Factor -1678*r**4 + 0 + 1674*r**a + 0 + 4*r**3.
-4*r**3*(r - 1)
Suppose -43 = 58*u - 275. Let j = -5 - -7. Factor 6*z**3 - j*z**4 + u*z**2 - z**4 - 7*z**2.
-3*z**2*(z - 1)**2
Let f(u) be the third derivative of -u**6/24 + u**5/3 - 25*u**4/24 + 5*u**3/3 - 45*u**2. Factor f(i).
-5*(i - 2)*(i - 1)**2
Factor -24/7 - 1/7*x**2 + 25/7*x.
-(x - 24)*(x - 1)/7
Let a(q) be the third derivative of -14*q**2 - 1/105*q**7 - 2/21*q**3 + 0 + 3/70*q**5 + 0*q - 1/84*q**6 + 5/84*q**4. Determine v so that a(v) = 0.
-1, 2/7, 1
Let h = -11 + 7. Let o = h + 6. Factor -12*z**o + 3*z**3 - 5*z**3 + 7 - 23 - 24*z.
-2*(z + 2)**3
Let s be ((-9)/(-6) + -1)*(58 + -54). Find r, given that 4/5*r - 3/5 - 1/5*r**s = 0.
1, 3
Let t be -18*1/2*14/(-42). Factor 0*n**2 + 0 + 0*n - 3*n**t + 3/2*n**4.
3*n**3*(n - 2)/2
Let l(q) be the second derivative of -q**7/14 + 3*q**6 - 135*q**5/4 + 71*q. Determine x, given that l(x) = 0.
0, 15
Let d(q) be the third derivative of -q**6/900 + q**5/1200 - 5*q**3/6 - 18*q**2. Let z(i) be the first derivative of d(i). Find n, given that z(n) = 0.
0, 1/4
Let -24/5*w - 1/5*w**4 + 0 + 47/5*w**2 - 22/5*w**3 = 0. What is w?
-24, 0, 1
Suppose 13*u = 9*u + 5*i + 110, 2*u + i = 48. Suppose -5*y + 45 = u. Suppose 1/3*s**5 + 0*s - 1/3*s**2 + 0 - 1/3*s**3 + 1/3*s**y = 0. What is s?
-1, 0, 1
Let f = 153 + -611/4. Let r(z) be the second derivative of 0*z**2 + 6*z + 0 - 3/20*z**5 + z**3 - f*z**4. Factor r(n).
-3*n*(n - 1)*(n + 2)
Let s be 2 + -1*(1 + -2). Determine z so that -158 - 2*z**2 - s*z + 31*z - 4 + 8*z = 0.
9
Suppose -2/3*i**2 - 10/3*i - 4 = 0. What is i?
-3, -2
Let f(i) be the second derivative of -i**4/60 - i**3/15 + 3*i**2/10 - 182*i. Factor f(x).
-(x - 1)*(x + 3)/5
Let u(n) be the third derivative of -8/3*n**3 + 1/60*n**6 + 1/15*n**5 - 1/3*n**4 + 0 - 6*n**2 + 0*n. Solve u(k) = 0.
-2, 2
Let q be (-1 - -13)*((-120)/32 + 2). Let o be q/(-9) - 80/48. Factor 4/3*y - 2/3 - o*y**2.
-2*(y - 1)**2/3
Let c(p) = p + 0*p - 2*p + 0*p. Let h be c(-3). Solve 0*y - y**2 + 4*y - 21*y**h + 13*y**3 - 6*y**4 + 3*y**2 = 0.
-1, 0, 2/3
Let n(r) be the first derivative of 2 + 1/10*r**4 + 2/15*r**3 - 2/5*r - 1/5*r**2. Solve n(o) = 0.
-1, 1
Let d(n) be the first derivative of n**6/10 + 3*n**5/20 - n**4/4 - n**3/2 + 32*n + 51. Let m(j) be the first derivative of d(j). Solve m(a) = 0.
-1, 0, 1
Let o(q) = -q - 1. Suppose 0 = 3*i + p + 18, 0 = -3*i - 2*p - 0*p - 18. Let r be o(i). Factor s**r - 3*s**2 - 2*s**3 + s + 9*s**2 + 1 - 8*s**2 + s**4.
(s - 1)**2*(s + 1)**3
Factor 2/7*w**4 + 224 + 176*w + 354/7*w**2 + 44/7*w**3.
2*(w + 4)**2*(w + 7)**2/7
Let d(g) be the first derivative of 1/6*g**5 - 3*g + 0*g**2 - 1/3*g**3 + 10 - 1/9*g**4. Let m(a) be the first derivative of d(a). Factor m(i).
2*i*(i - 1)*(5*i + 3)/3
Let b = -2273/78 - -381/13. What is x in -b*x**3 - 1/6*x**2 + 0 + 1/3*x = 0?
-2, 0, 1
Let i = -558 - -2808/5. Suppose 0 - 2/5*k**5 - i*k**3 - 12/5*k**4 + 0*k**2 + 0*k = 0. What is k?
-3, 0
Let u(a) be the first derivative of 2*a**6/3 - 16*a**5/5 - 4*a**4 + 88*a**3/3 + 6*a**2 - 72*a + 318. Suppose u(p) = 0. What is p?
-2, -1, 1, 3
Let c be ((-3)/(-5))/((-9)/(-45)). Solve 6*n - n**2 + 10*n - 16 - c*n**2 = 0.
2
Suppose 3*t - 4*t + 1 = 0. Let -2*w + 2*w**2 + 7*w - t - 3 - 3*w**2 = 0. What is w?
1, 4
Let v(d) be the third derivative of 1/840*d**8 + 0*d - 1/525*d**7 + 0*d**6 + 0*d**5 + 27*d**2 + 0*d**4 + 0*d**3 + 0. Factor v(l).
2*l**4*(l - 1)/5
Let o(d) be the second derivative of d**3/3 - 5*d**2 - d. Let w be o(6). Factor -w*a**3 + 0*a**3 + 6*a - 6*a + 2*a**4.
2*a**3*(a - 1)
Let n be (2/4 - 1) + 902/28. Let x = n + -213/7. Let 12/7 - x*i**2 + 3/7*i**3 + 0*i = 0. What is i?
-1, 2
Let u(j) be the first derivative of 2*j**5/25 + 13*j**4/10 + 82*j**3/15 + 47*j**2/5 + 36*j/5 - 65. Solve u(t) = 0 for t.
-9, -2, -1
Let g(c) be the second derivative of 0 - 28*c**2 + 1/3*c**4 - 10/3*c**3 + 44*c. Determine k, given that g(k) = 0.
-2, 7
Suppose 11 = -f + 13. Factor -5 + 0 + 6 - t**f.
-(t - 1)*(t + 1)
Let h(k) = -24*k**4 - 8*k**3 + 8*k**2 + 12*k + 4. Let g(v) = -29*v**4 - 7*v**3 + 9*v**2 + 12*v + 5. Let m(n) = 4*g(n) - 5*h(n). Factor m(c).
4*c*(c - 1)*(c + 1)*(c + 3)
Let d = -855/8 + 9421/88. Factor 2/11*k**4 + d + 8/11*k + 12/11*k**2 + 8/11*k**3.
2*(k + 1)**4/11
Let d(w) = -w**3 + 24*w**2 - 19*w - 92. Let f be d(23). Let l(r) be the first derivative of 4/3*r**3 + f*r - 4*r**2 - 10. Let l(j) = 0. Calculate j.
0, 2
Let w(o) be the first derivative of -o**5/270 + o**4/108 - 3*o**2/2 - 23. Let v(f) be the second derivative of w(f). Factor v(u).
-2*u*(u - 1)/9
Suppose 5*r + 2*r = 28. Let t(h) = 3*h - 12. Let b be t(r). Factor 2/7*y**2 + b*y - 2/7.
2*(y - 1)*(y + 1)/7
Let u(k) be the third derivative of -k**5/30 - 97*k**4/6 - 9409*k**3/3 - 22*k**2. Factor u(d).
-2*(d + 97)**2
Let q be (-29)/9*-3 + (-4)/(-12). Suppose k + 2 = -t, 14*k - q*k + 8 = 4*t. Factor -1/2*j**2 + t*j + 0.
-j**2/2
Let u be (108/(-65))/(-3) + (-40)/260. Solve -u*n**2 - 4/25 + 14/25*n = 0 for n.
2/5, 1
Let g(h) be the third derivative of -2/27*h**4 + 0 - 1/270*h**5 - 16/27*h**3 + 25*h**2 + 0*h. Let g(b) = 0. Calculate b.
-4
Factor 129/2*a**2 - 27/2*a**3 + 18 + 96*a.
-3*(a - 6)*(a + 1)*(9*a + 2)/2
Let y(r) be the first derivative of -3*r**5 - 171*r**4/16 + 91*r**3/4 - 9*r**2/4 - 6*r + 192. What is t in y(t) = 0?
-4, -1/4, 2/5, 1
Let g(b) = b**2 - 14*b - 70. Let i be g(18). Let k(n) be the first derivative of 2/3*n**i + 0*n - 7 - 2/9*n**3. Factor k(w).
-2*w*(w - 2)/3
Suppose 0 - 15/2*l**3 + 1/2*l**4 - 13/2*l + 27/2*l**2 = 0. What is l?
0, 1, 13
Let j = 59 + -57. Suppose -6*y**5 - 23*y**4 + 2*y**5 + 19*y**4 + 4*y**j + 4*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 3*l + 32 = 7*l. Solve 2 - 5 - 4*p**2 + 35 - l*p = 0.
-4, 2
Let a(v) be the third derivative of -v**5/60 + v**4/24 + 2*v**3 + 4*v**2 + 5*v. Factor a(c).
-(c - 4)*(c + 3)
Let x(g) be the second de