130 - 11*f**5/390 - 5*f**4/13 + 100*f**3/39 + 3*f**2 - 25*f. Factor c(b).
2*(b - 2)**2*(b + 5)**2/13
Let i(p) be the second derivative of 0*p**2 + 0 - 2/75*p**6 + 1/15*p**3 + 0*p**5 + 1/15*p**4 - 6*p - 1/105*p**7. Solve i(y) = 0.
-1, 0, 1
Let f = 32806/9499 - 34/1357. Factor -27/7*r - 3/7*r**2 - f.
-3*(r + 1)*(r + 8)/7
Let c(s) = 6*s**4 - 19*s**3 + 32*s**2 - 22*s + 5. Let n(x) = -x**4 + 2*x**3 - x**2 - x - 1. Let h(f) = c(f) + 5*n(f). Find g such that h(g) = 0.
0, 3
Let x be 30/50 + ((-8)/10)/2. Let n(b) be the first derivative of 1/10*b**2 + 3/20*b**4 + 1 + 0*b - x*b**3 - 1/25*b**5. Solve n(r) = 0 for r.
0, 1
Let g(b) be the second derivative of b**4/30 + 2*b**3/15 - 3*b**2/5 - 4*b - 11. Solve g(w) = 0.
-3, 1
Let r(y) be the second derivative of -y**6/30 + 7*y**5/20 - 5*y**4/6 + 73*y + 3. Factor r(n).
-n**2*(n - 5)*(n - 2)
Let h(w) = -5*w + 5*w**2 - 5 + 31*w**3 + 0 - 7*w**4 - 35*w**3. Let r(y) = -8*y**4 - 4*y**3 + 6*y**2 - 6*y - 6. Let c(x) = 6*h(x) - 5*r(x). Factor c(o).
-2*o**3*(o + 2)
Let y(m) be the first derivative of -4*m**3/3 - 10*m**2 + 24*m - 195. Find k such that y(k) = 0.
-6, 1
Let h = 1769/2952 + -24/41. Let p(s) be the third derivative of -s**2 + 0*s**3 - 1/720*s**6 - h*s**4 + 0*s + 1/120*s**5 + 0. Let p(t) = 0. What is t?
0, 1, 2
Let y(o) = -11*o**2 + 443*o - 42. Let t(u) = 5*u**2 - 221*u + 18. Let l(i) = -14*t(i) - 6*y(i). Find r such that l(r) = 0.
0, 109
Let m(u) = 2*u + 1. Let i(r) = 5*r + 3. Let y(b) = 4*i(b) - 14*m(b). Let c be y(-1). Factor -1 - 15*z + 11 - 1 - c*z**2.
-3*(z + 3)*(2*z - 1)
Let m(x) be the first derivative of x**7/140 + x**6/80 - x**5/40 - x**4/16 - 9*x**2 - 6. Let o(a) be the second derivative of m(a). Factor o(b).
3*b*(b - 1)*(b + 1)**2/2
Factor 9*i - 1535*i**4 + 1539*i**4 + 16 - 8*i**3 - 12*i**2 + 7*i.
4*(i - 2)**2*(i + 1)**2
Let o(q) = -11*q**3 + 16*q**2 + 75*q - 186. Let m(f) = -32*f**3 + 47*f**2 + 225*f - 557. Let i(v) = -6*m(v) + 17*o(v). Factor i(d).
5*(d - 3)**2*(d + 4)
Factor -5*s + 78*s**2 - 81*s**2 - 22*s.
-3*s*(s + 9)
Let v(o) be the third derivative of -o**8/2240 + o**7/3150 + o**6/900 + o**5/60 + 5*o**2. Let z(q) be the third derivative of v(q). Let z(u) = 0. Calculate u.
-2/9, 2/5
Let r be (1 - 13)*(-87)/522. Factor v - 1/2*v**r + 0.
-v*(v - 2)/2
Let c be (16/64)/((-52)/(-16) + -2). Let u(g) be the first derivative of c*g**5 + 1/6*g**6 + 0*g**2 + 0*g**4 - 7 + 0*g**3 + 0*g. Let u(t) = 0. What is t?
-1, 0
Let p(z) = z**2 + 7*z + 26. Let b be p(-6). Factor 5*o**2 + 2*o**2 - b*o + 50 - 5*o**2.
2*(o - 5)**2
Factor 3 - 24/7*s**2 - 18/7*s**3 + 18/7*s + 3/7*s**4.
3*(s - 7)*(s - 1)*(s + 1)**2/7
Let r be 289/68 - (2/8 + 0). Let o(h) be the first derivative of -1/8*h**r - 5/4*h**2 - 2/3*h**3 - h + 6. Factor o(c).
-(c + 1)**2*(c + 2)/2
Let f(i) be the third derivative of -i**5/60 + 31*i**4/24 - 29*i**3/3 + 368*i**2. Factor f(h).
-(h - 29)*(h - 2)
Let r(b) = -306*b**2 + 296*b + 10. Let i(s) = 61*s**2 - 59*s - 2. Let m(q) = 22*i(q) + 4*r(q). Find n, given that m(n) = 0.
-2/59, 1
Let c(j) be the third derivative of -j**8/504 + 2*j**7/315 + j**6/60 - 2*j**5/45 - j**4/9 - 4*j**2 - 19. Determine m so that c(m) = 0.
-1, 0, 2
Let y(j) = -j**3 - 5*j**2 - 3*j + 12. Let a be y(-3). Let i(b) be the third derivative of 0*b + 0 - 1/24*b**5 - 5/3*b**a + 5/12*b**4 + 12*b**2. Factor i(q).
-5*(q - 2)**2/2
Let c = 29947/3 - 9981. Determine z so that 4/3*z**2 - c*z**4 + 0 - 2/3*z**3 - 1/3*z**5 + z = 0.
-3, -1, 0, 1
Suppose -36/5*a + 3/5*a**2 - 39/5 = 0. What is a?
-1, 13
Let q(o) be the third derivative of o**6/300 + 13*o**5/150 + 40*o**2 + 3*o. Factor q(f).
2*f**2*(f + 13)/5
Let h(m) be the second derivative of 27*m**6/10 + 897*m**5/20 + 967*m**4/4 + 745*m**3/2 + 75*m**2 + 122*m. Suppose h(b) = 0. Calculate b.
-5, -1, -2/27
Factor -2/3*g**3 - 2/3 + 2/3*g**2 + 2/3*g.
-2*(g - 1)**2*(g + 1)/3
Let k(b) = -8*b + 2*b - 2*b + 2*b + 16. Let c be k(2). Let 0 + 2/3*v**c + 0*v - 4/3*v**2 - 2/3*v**3 = 0. Calculate v.
-1, 0, 2
Find c such that 1/2*c**2 - 2 + 1/4*c**3 - c = 0.
-2, 2
Let i be 1 - (0/1 + 0). Let h(s) = 0*s - s - 2 + 3 + 2*s. Let m(g) = -3*g**2 + 7*g + 10. Let f(d) = i*m(d) - 4*h(d). Factor f(y).
-3*(y - 2)*(y + 1)
Let z(t) be the first derivative of 9/7*t**2 - 1/7*t**3 - 24/7*t + 35. Factor z(n).
-3*(n - 4)*(n - 2)/7
Let d(y) be the second derivative of -y**6/60 + 7*y**5/120 + y**4/8 - 7*y**3/36 - y**2/2 - 72*y. Find g, given that d(g) = 0.
-1, -2/3, 1, 3
Let i = -31/630 - -43/90. Factor -3/7*m**2 - 3/7*m**3 + i*m + 3/7.
-3*(m - 1)*(m + 1)**2/7
Let g be -5*(2 + -2 + -1). Let y(r) be the first derivative of 2/45*r**g - 5/9*r**2 - 4/9*r - 2/9*r**3 - 1 + 1/18*r**4. Factor y(i).
2*(i - 2)*(i + 1)**3/9
Let v(u) be the first derivative of -u**5/4 + 25*u**4/16 - 5*u**3/2 - 5*u**2/2 + 10*u + 8. Find m such that v(m) = 0.
-1, 2
Let u be (15 - 25) + (-1824)/(-180). Factor u*t**2 + 4/5 - 14/15*t.
2*(t - 6)*(t - 1)/15
Let v(q) be the third derivative of -q**8/2520 + 52*q**7/1575 - 193*q**6/225 + 416*q**5/75 - 64*q**4/5 + 40*q**2. Factor v(w).
-2*w*(w - 24)**2*(w - 2)**2/15
Let x(h) be the first derivative of -h**5/30 + 7*h**4/12 + 5*h**3/6 + 378. Find o, given that x(o) = 0.
-1, 0, 15
Let q(o) = -5*o**2 - 43*o + 61. Let b(s) = s**2 + 11*s - 15. Let t(v) = -26*b(v) - 6*q(v). Suppose t(j) = 0. What is j?
1, 6
Let a(u) be the first derivative of 24 + 15/4*u**3 - 37/8*u**2 + 3/2*u. Factor a(l).
(5*l - 3)*(9*l - 2)/4
Let n(u) be the first derivative of 2*u**3/51 - 72*u**2/17 + 2592*u/17 + 28. Determine x so that n(x) = 0.
36
Suppose -1727 = -62*j - 1603. Suppose 8*d + 40 + 2/5*d**j = 0. Calculate d.
-10
Suppose -64 = -15*p - 19. Let u(d) be the first derivative of -1/3*d**6 + 8/3*d**3 + 8/5*d**5 + 11 - d**2 + 0*d - p*d**4. Factor u(i).
-2*i*(i - 1)**4
Let k(n) be the third derivative of -n**5/30 + 29*n**4/12 + 10*n**3 - 21*n**2. Suppose k(v) = 0. Calculate v.
-1, 30
Let u(x) be the second derivative of 0 - 12*x + 6*x**2 + 4*x**3 + 3/4*x**4. Factor u(n).
3*(n + 2)*(3*n + 2)
Solve 20/9*v + 0 + 2/3*v**2 - 2/9*v**3 = 0 for v.
-2, 0, 5
Let f(v) be the first derivative of v**5/5 + v**4/4 - 2*v**3 - 2*v**2 + 8*v + 65. Determine k, given that f(k) = 0.
-2, 1, 2
Let l be 1*-7*(-3)/(-3) - 1173/(-85). Solve 26/5*y + l*y**3 - 4/5 - 48/5*y**2 - 8/5*y**4 = 0 for y.
1/4, 1, 2
Factor -j**5 + 25 - j**3 - 7*j**4 + 3*j**3 - 43*j + 46*j**2 + 12*j + 7*j - 41*j.
-(j - 1)**3*(j + 5)**2
Let c be -5 - 4/(40/(-66)). Let t = -329/5 + 66. What is h in -16/5 + c*h - t*h**2 = 0?
4
Let g(d) be the first derivative of 0*d - d**5 + 5/2*d**2 + 5/3*d**3 - 11 - 5/4*d**4. Factor g(b).
-5*b*(b - 1)*(b + 1)**2
Let r(f) be the third derivative of f**8/80640 + f**7/2520 + f**6/180 - 17*f**5/30 - 23*f**2. Let i(z) be the third derivative of r(z). Factor i(v).
(v + 4)**2/4
Let q(d) be the third derivative of -1/3*d**5 + 5/336*d**8 + 0*d**4 + 9*d**2 + 0 + 3/8*d**6 - 1/7*d**7 + 0*d + 0*d**3. Factor q(c).
5*c**2*(c - 4)*(c - 1)**2
Let o(l) = -14 + 5*l**3 - 7*l - 5*l + 7*l**2 - 4*l**3 + 2*l**2. Let b be o(-10). Find f such that 155 - b*f + 3*f**2 - 155 = 0.
0, 2
Let j(k) = -2*k + 81. Let y be j(39). What is z in 2 + y*z**3 + 13/2*z**2 + 1/2*z**4 + 6*z = 0?
-2, -1
Let w(i) = 5*i**2 - 10*i + 6. Let x be w(0). Let j be ((-6)/8)/((-2)/4). Solve x*y + j*y**2 + 9/2 = 0 for y.
-3, -1
Let u(m) be the first derivative of m**5/2 - 5*m**4/8 - 5*m**3 + 551. Factor u(y).
5*y**2*(y - 3)*(y + 2)/2
Let i(r) be the first derivative of r**4/2 - 2*r**3/3 - 4*r**2 + 8*r - 154. Factor i(j).
2*(j - 2)*(j - 1)*(j + 2)
Let c(r) be the third derivative of -r**7/280 - 3*r**6/32 - 39*r**5/80 - 37*r**4/32 - 3*r**3/2 + 415*r**2. Factor c(o).
-3*(o + 1)**3*(o + 12)/4
Let g = 98210/39 - 2518. Let s(m) be the first derivative of 0*m + 12/65*m**5 + 11/26*m**4 - g*m**3 - 3/13*m**6 - 4/13*m**2 - 7. Determine d so that s(d) = 0.
-2/3, 0, 1
Let l = 164 + -156. Let q(j) be the third derivative of 0 - 1/20*j**6 + 0*j**4 + 4*j**2 + 1/15*j**5 + 0*j**3 + 1/168*j**l + 0*j + 0*j**7. Factor q(n).
2*n**2*(n - 1)**2*(n + 2)
Factor 9*i**2 + 3*i**4 + 58*i**2 + 48*i**3 - 118*i**2.
3*i**2*(i - 1)*(i + 17)
Let y(o) be the third derivative of 7/24*o**6 - 35/24*o**4 - 21*o**2 + 0*o + 5/6*o**3 - 1/12*o**5 + 0. Let y(h) = 0. What is h?
-1, 1/7, 1
Let i(g) be the second derivative of -g**7/105 - g**6/25 + 17*g**5/50 + 9*g**4/10 - 88*