v(i) = 0.
1
Let h(v) be the third derivative of v**5/10 - 97*v**4/36 - 22*v**3/9 - 119*v**2. Factor h(y).
2*(y - 11)*(9*y + 2)/3
Let i(n) be the third derivative of n**5/20 - 10*n**4 + 800*n**3 - 4*n**2 + 7*n. Factor i(p).
3*(p - 40)**2
Let u = -37723 + 37723. Determine k, given that -3/7*k**2 + u - 3/7*k = 0.
-1, 0
Let q(h) be the second derivative of -h**7/105 - h**6/25 + 9*h**5/50 + 23*h**4/30 + 4*h**3/5 + 29*h + 6. Solve q(j) = 0.
-4, -1, 0, 3
Factor 31/3*u + 17/3*u**2 + 5 + 1/3*u**3.
(u + 1)**2*(u + 15)/3
Find k such that -2/13*k**2 + 10/13*k + 0 = 0.
0, 5
Let d(l) be the third derivative of l**6/40 + l**5/4 - l**4 - 6*l**3 + l**2 - 11. Factor d(h).
3*(h - 2)*(h + 1)*(h + 6)
Let j(s) be the second derivative of s**6/32 + 3*s**5/40 + s**4/32 - 12*s**2 - 28*s. Let q(r) be the first derivative of j(r). Let q(x) = 0. Calculate x.
-1, -1/5, 0
Let k be (11 - (-671)/(-55)) + 2. Solve 0*i + 0 + k*i**3 + 0*i**2 + 2/5*i**5 + 6/5*i**4 = 0 for i.
-2, -1, 0
Let a be 27/15 - 2/(-10). Let u = 271/814 + 1/2442. Factor -1/6*b**a + 1/2 + u*b.
-(b - 3)*(b + 1)/6
Let d(j) = -10*j**4 - 40*j**3 + 25*j**2 + 175*j - 5. Let q(b) = -15*b**4 - 60*b**3 + 38*b**2 + 263*b - 7. Let u(s) = 7*d(s) - 5*q(s). Solve u(p) = 0.
-3, 0, 2
Let g(f) be the first derivative of -f**6/18 + 13*f**5/5 - 199*f**4/6 + 322*f**3/9 + 133*f**2/2 - 361*f/3 + 122. Find k, given that g(k) = 0.
-1, 1, 19
Let v(o) be the first derivative of -2*o**3/21 + o**2 + 16*o/7 - 200. Determine w, given that v(w) = 0.
-1, 8
Let i be (-1800)/(-288) + (-2)/8. Let w(c) be the third derivative of 1/110*c**5 - 1/660*c**i - 9*c**2 + 0 - 1/44*c**4 + 1/33*c**3 + 0*c. Factor w(g).
-2*(g - 1)**3/11
Let q(k) be the third derivative of -9*k**7/560 - 3*k**6/32 - 7*k**5/40 - k**4/8 + 167*k**2. Factor q(y).
-3*y*(y + 2)*(3*y + 2)**2/8
Let m(q) be the first derivative of -1/2*q**4 - 3*q + 9 + 0*q**2 + 0*q**3 - 3/20*q**5 + 1/10*q**6. Let f(h) be the first derivative of m(h). Factor f(c).
3*c**2*(c - 2)*(c + 1)
Let b(n) be the first derivative of -2/9*n**3 - 12*n + 0*n**2 + 1/9*n**4 + 13. Let i(g) be the first derivative of b(g). Factor i(p).
4*p*(p - 1)/3
Find z, given that 28/15*z**2 + 0 - 2/15*z**4 + 0*z - 26/15*z**3 = 0.
-14, 0, 1
Let n(y) be the second derivative of -y**8/1120 + y**6/48 - y**4/4 - y**3/3 - 14*y. Let p(m) be the second derivative of n(m). Find a, given that p(a) = 0.
-2, -1, 1, 2
Let f(b) be the first derivative of b**5/20 + b**4/12 - b**3/6 - b**2/2 + 14*b - 6. Let r(x) be the first derivative of f(x). Factor r(y).
(y - 1)*(y + 1)**2
Let u = -88 - -113. Let o = 53/2 - u. Find l such that 0*l**2 + o*l - 1/2*l**3 - 1 = 0.
-2, 1
Let r = -86693/8 - -10837. Factor 3/8*s**2 - r*s + 0.
3*s*(s - 1)/8
Let p(t) = 43*t**2 + 27*t - 13. Let b(c) = 20*c**2 + 14*c - 6. Let u(g) = -13*b(g) + 6*p(g). Factor u(s).
-2*s*(s + 10)
Let q(p) = 4*p**2 + 4*p - 40. Let h(u) = 5*u**2 + 4*u - 36. Let d(b) = -2*h(b) + 3*q(b). Factor d(x).
2*(x - 4)*(x + 6)
Suppose 4*m = -2*y + 2*m + 36, 4*y = -3*m + 67. Let 36*k + 11*k**4 - 48*k**2 - y*k**4 - 6*k**4 - 44*k**3 = 0. Calculate k.
-3, 0, 1/2
Let t(j) be the third derivative of 0 - 1/96*j**6 + 0*j + 6*j**2 + 0*j**4 - 1/48*j**5 + 0*j**3. Determine d so that t(d) = 0.
-1, 0
Let z(s) be the third derivative of 5*s**8/336 - s**7/42 - s**6/24 + s**5/12 + s**2. What is w in z(w) = 0?
-1, 0, 1
Let i be 2/9*(170/(-40) - -5). Let k(y) be the first derivative of 1/4*y**2 - i*y**3 - 4 + 0*y. Solve k(f) = 0.
0, 1
Let a = -124 - -144. Solve -6*o - 8*o**2 + 24*o**4 + 20 - 20 + 10*o - a*o**3 = 0.
-1/2, 0, 1/3, 1
Let i(s) be the third derivative of -1/60*s**6 + 0*s + 23*s**2 - 1/168*s**8 + 1/6*s**4 + 0*s**3 - 1/10*s**5 + 0 + 1/35*s**7. Determine a, given that i(a) = 0.
-1, 0, 1, 2
Let a(s) be the second derivative of -s**6/135 + 31*s**5/18 - 442*s**4/3 + 132496*s**3/27 + 140608*s**2/9 + 6*s + 20. Suppose a(p) = 0. What is p?
-1, 52
Factor 2/19*x**3 - 12/19*x**2 + 16/19*x + 0.
2*x*(x - 4)*(x - 2)/19
Let f(k) = k - 19. Let q be f(22). Suppose 24*j**2 - 28*j**2 - 4*j**3 - 10*j**q = 0. Calculate j.
-2/7, 0
Let u(o) be the third derivative of o**8/2520 - o**6/180 - o**5/90 - 3*o**3/2 + 8*o**2. Let j(a) be the first derivative of u(a). Factor j(q).
2*q*(q - 2)*(q + 1)**2/3
Let q be ((-18)/(-27))/((-4)/(-18)). Factor 8*p**5 - q*p**5 - 22*p**3 - 5*p**4 + 5*p**2 + 17*p**3.
5*p**2*(p - 1)**2*(p + 1)
Let z(r) be the second derivative of r**3 + r + 1/132*r**4 + 0 + 0*r**2 - 1/1980*r**6 + 0*r**5. Let h(g) be the second derivative of z(g). Solve h(m) = 0.
-1, 1
Let a(m) be the second derivative of -4/11*m**2 + 0 + 3/22*m**4 + 4/55*m**5 - 24*m - 1/33*m**6 - 8/33*m**3. Let a(w) = 0. What is w?
-1, -2/5, 1, 2
Let p(l) be the first derivative of -5*l**3/3 + 25*l**2 - 80*l + 24. Factor p(z).
-5*(z - 8)*(z - 2)
Factor -22/3*c**2 + 32/3 - 32/3*c - c**3.
-(c + 4)**2*(3*c - 2)/3
Let m(y) be the second derivative of y**6/165 - 21*y**5/110 + 3*y**4/2 + 11*y**3/3 - 33*y + 1. Factor m(r).
2*r*(r - 11)**2*(r + 1)/11
Let l = 30568 + -30565. Factor 72/5*h - 8 + 0*h**l + 2/5*h**4 - 34/5*h**2.
2*(h - 2)**2*(h - 1)*(h + 5)/5
Let f(i) be the second derivative of 173*i**4/12 + 60*i**3/7 + 2*i**2/7 + 10*i + 1. Determine r, given that f(r) = 0.
-2/7, -2/173
Factor -16 - 33*x - 8 + 42*x - 4*x**2 - 7*x - 30*x.
-4*(x + 1)*(x + 6)
Let u(j) be the first derivative of 0*j + 5/2*j**2 - 1/360*j**6 + 0*j**4 + 6 - 1/180*j**5 + 0*j**3. Let c(o) be the second derivative of u(o). Factor c(t).
-t**2*(t + 1)/3
Let f(t) = -4*t**2 - 8*t + 11. Let a(q) = 3*q**2 + 9*q - 12. Suppose -10 = -s - 7. Let c be (-4 - -1)/s - 4. Let p(m) = c*a(m) - 6*f(m). Factor p(r).
3*(r + 1)*(3*r - 2)
Let d(b) be the second derivative of -b**7/28 - 29*b**6/60 - 51*b**5/20 - 41*b**4/6 - 10*b**3 - 8*b**2 - 391*b. Let d(t) = 0. Calculate t.
-4, -2, -1, -2/3
Let d(u) be the third derivative of -u**9/20160 + u**8/2240 + u**7/105 + u**6/20 - 8*u**5/15 + 9*u**2. Let i(v) be the third derivative of d(v). Factor i(y).
-3*(y - 6)*(y + 1)*(y + 2)
Let i(n) be the third derivative of n**7/525 - n**6/300 - 3*n**5/50 - 11*n**4/60 - 4*n**3/15 + 2*n**2 - 41. Suppose i(j) = 0. Calculate j.
-1, 4
What is g in -3373 + 3273 - 18*g + 40*g**3 + 4*g**4 + 75*g**2 + g**4 - 2*g = 0?
-5, -2, 1
Suppose 5*f - 25 = 3*g, 12 + 3 = -2*g + 3*f. Let v(r) be the second derivative of -5*r + 0*r**2 + 1/8*r**4 + g - 3/4*r**3. Suppose v(x) = 0. Calculate x.
0, 3
Suppose 134*r - 135*r - 5*u = 25, 0 = 3*r - 5*u - 25. Find a such that -3/5*a**2 + 1/5*a**4 + r + 0*a**3 + 2/5*a = 0.
-2, 0, 1
Let a(g) be the third derivative of 3/4*g**5 - 2*g**3 + 0*g + 0 + 9*g**2 + 1/2*g**4. Find v, given that a(v) = 0.
-2/3, 2/5
Let l(n) be the third derivative of -7*n**6/660 - 17*n**5/165 - 15*n**4/44 - 6*n**3/11 - 160*n**2 + 2*n. What is z in l(z) = 0?
-3, -1, -6/7
Determine q, given that -77/2*q + 8*q**2 - 1/2*q**3 + 49 = 0.
2, 7
Let n(m) be the second derivative of 95*m**4/12 - 175*m**3/3 - 60*m**2 - 422*m. Suppose n(d) = 0. Calculate d.
-6/19, 4
Let z(q) = -3*q**2 + 49*q + 34. Let b be z(17). Let h(x) be the first derivative of -1/6*x**4 + b*x**2 + 2/9*x**3 + 0*x + 5. Factor h(i).
-2*i**2*(i - 1)/3
Let c(p) be the second derivative of p**8/26880 + p**7/10080 - p**6/576 + p**5/160 - p**4/12 - 5*p. Let x(k) be the third derivative of c(k). Factor x(j).
(j - 1)**2*(j + 3)/4
Suppose 28/5*y**2 + 24 + 428/5*y = 0. What is y?
-15, -2/7
Let s(z) be the third derivative of 1/80*z**6 + 0*z**3 + 17*z**2 + 0 + 0*z + 1/20*z**5 + 1/16*z**4. Factor s(d).
3*d*(d + 1)**2/2
Let z(n) be the second derivative of -n**5/120 + n**4/16 - 13*n**2 + 14*n. Let j(s) be the first derivative of z(s). Determine r so that j(r) = 0.
0, 3
Let h(m) = -m**3 + 7*m**2 + 7*m + 8. Let r be h(8). Let s be r - (2/(14/19) + -3). Determine z, given that 10/7*z - s - 8/7*z**2 = 0.
1/4, 1
Let x(m) be the second derivative of -m**6/30 - 3*m**5/40 + m**4/8 + m**3/6 + 5*m - 8. Find z such that x(z) = 0.
-2, -1/2, 0, 1
Suppose -37*q = -38*q + 3. Let w(x) be the first derivative of 21*x**4 - 24*x**2 - 52/3*x**q - 6 + 16*x. Solve w(k) = 0 for k.
-2/3, 2/7, 1
Let w(s) be the first derivative of 1/9*s**2 - 15 - 4/27*s**3 + 2/45*s**5 - 1/9*s**4 + 1/27*s**6 + 2/9*s. Suppose w(t) = 0. What is t?
-1, 1
Let l = -44 + 76. Let s be (-6)/(4 - (-95)/(-20)). Factor -t**4 + s*t**3 - l - 21*t