 be b(10). Let -q**5 + 17*q**2 - 16*q**2 - 3*q**f + 4*q**3 - q**4 = 0. Calculate q.
-1, 0, 1
Let y(j) be the first derivative of j**6/10 + 9*j**5/5 + 243*j**4/20 + 189*j**3/5 + 243*j**2/5 + 75. Determine x so that y(x) = 0.
-6, -3, 0
Let d(n) be the first derivative of -n**4/10 + 22*n**3/5 - 336*n**2/5 + 392*n - 514. Factor d(z).
-2*(z - 14)**2*(z - 5)/5
Factor 0 - 10/21*h**3 - 16/21*h**2 - 8/21*h - 2/21*h**4.
-2*h*(h + 1)*(h + 2)**2/21
Let f = 7 - 5. Let g = -29 - -33. Factor 8 + f*p**2 - 2*p**g - 8.
-2*p**2*(p - 1)*(p + 1)
Let d(v) be the third derivative of v**6/360 - v**5/10 + 3*v**4/2 - 14*v**3/3 + 6*v**2. Let m(f) be the first derivative of d(f). Factor m(w).
(w - 6)**2
Let f(n) be the first derivative of -8*n**3/3 + 6*n**2 + 8*n - 55. Suppose f(r) = 0. Calculate r.
-1/2, 2
Let z(i) be the second derivative of i**7/126 - 7*i**6/90 + 19*i**5/60 - 25*i**4/36 + 8*i**3/9 - 2*i**2/3 + 649*i. Suppose z(j) = 0. Calculate j.
1, 2
Let v(j) = -31*j**2 + 159*j - 18. Let o be v(5). Determine u, given that -5/3*u + 4/3 + 1/3*u**o = 0.
1, 4
Factor -6*d - 27*d**2 + 2*d**3 - 3*d**3 + 22*d**2.
-d*(d + 2)*(d + 3)
Let t(j) be the third derivative of j**6/900 - j**5/150 - 5*j**3/2 - 16*j**2. Let g(f) be the first derivative of t(f). Factor g(s).
2*s*(s - 2)/5
Find z such that 18*z**3 - 30*z**2 - 3*z**4 + 21*z - 27/5 - 3/5*z**5 = 0.
-9, 1
Suppose -7157 = 19*q - 7214. Factor -2/3 - v - v**q + 8/3*v**2.
-(v - 2)*(v - 1)*(3*v + 1)/3
Solve 0*p - 3 - 9/4*p**4 - 3/4*p**3 + 3/4*p**5 + 21/4*p**2 = 0 for p.
-1, 1, 2
Let i(o) = -38*o**3 - o**2 - 2 - 1 + 39*o**3. Let q be i(3). Suppose 4 + q*r**4 - 5*r**3 - 8 - 10*r**2 + 4 = 0. Calculate r.
-2/3, 0, 1
Suppose 188*a - 106*a = 113*a - 62. Let -w - 3/5 + 2/5*w**a = 0. Calculate w.
-1/2, 3
Let m be 5 + 2/(-1) - 4. Let w(x) = -x**3 - 9*x**2 - 48*x - 61. Let d(r) = r**2 + 1. Let k(o) = m*w(o) + 3*d(o). Solve k(q) = 0.
-4
Let b(q) = -7*q**4 - 52*q**3 + 40*q**2 + 20*q - 4. Let h(w) = 20*w**4 + 156*w**3 - 119*w**2 - 55*w + 11. Let c(m) = -11*b(m) - 4*h(m). Factor c(j).
-j**2*(j + 18)*(3*j - 2)
Let -264*g**3 + 784*g**2 - 195*g + 6*g**4 - 733*g + 384 + 14*g**4 + 0*g**5 - 2*g**5 + 6*g**5 = 0. What is g?
-12, 1, 2
Let m be 1 + (-12)/(-4) - 12/9. Let g(t) be the first derivative of 2/3*t**2 - m*t - 1/18*t**3 + 4. Factor g(w).
-(w - 4)**2/6
Let g(s) be the third derivative of -s**8/896 - 3*s**7/280 - s**6/160 + 9*s**5/40 + 27*s**4/64 - 27*s**3/8 - 188*s**2. Solve g(o) = 0.
-3, 1, 2
Let k(y) be the third derivative of y**6/360 + y**5/45 + y**4/18 + 6*y**2 - 4*y. Factor k(q).
q*(q + 2)**2/3
Let h = 10 + -10. Suppose -2*d - w - 4*w + 31 = h, 0 = -w + 5. Factor 6*r - 3*r**2 - 38 + 37 - d*r + r**3.
(r - 1)**3
Let q(d) be the third derivative of 0*d**4 + 11/240*d**5 - 1/6*d**3 + 0 + 4*d**2 + 0*d - 3/160*d**6 + 1/420*d**7. Factor q(y).
(y - 2)**2*(y - 1)*(2*y + 1)/4
Solve 4*f**2 + 20*f - 12 - 13 - 4 + 5 = 0.
-6, 1
Let m(n) be the third derivative of n**7/140 - n**6/48 - n**5/120 + 5*n**4/48 - n**3/6 - 55*n**2 - 2. Factor m(w).
(w - 1)**2*(w + 1)*(3*w - 2)/2
Factor 9/2*k**4 + 128 - 32*k**3 - 1/4*k**5 - 192*k + 112*k**2.
-(k - 4)**4*(k - 2)/4
Let w(q) be the first derivative of q**5/80 - 9*q**4/32 + 20*q**2 - 44. Let l(c) be the second derivative of w(c). Solve l(v) = 0 for v.
0, 9
Let b(j) be the first derivative of j**5/240 + j**4/96 + 11*j**2/2 + 7. Let c(d) be the second derivative of b(d). Let c(h) = 0. Calculate h.
-1, 0
Let g(a) be the first derivative of 4*a**3/3 + 70*a**2 + 136*a + 71. Factor g(z).
4*(z + 1)*(z + 34)
Let g be (-19)/((-3 - -7)/20). Let q = -95 - g. Let l**3 + q + 0*l - 2/3*l**2 = 0. Calculate l.
0, 2/3
Factor 0*s**3 - 45/7 - 1/7*s**4 + 24/7*s + 22/7*s**2.
-(s - 5)*(s - 1)*(s + 3)**2/7
Let f = 35 + -35. Let d = f - -3. Factor 0 - 2/3*z**d + 2/3*z + 0*z**2.
-2*z*(z - 1)*(z + 1)/3
Let c = 8527/4 + -2157. Let o = c + 925/36. Let -2/9*w + 2/9 - o*w**2 = 0. What is w?
-1, 1/2
Determine r so that 1/2*r**3 - 23/2*r**2 + 507/2 + 91/2*r = 0.
-3, 13
Let v = 5 - 4. Let z be (-25)/(-5) - (v + -1). Factor -3*t**4 + 0*t**4 + z*t**2 - 17*t**2 - 6*t**3 - 6*t**3.
-3*t**2*(t + 2)**2
Let w(f) = 3*f**2 - 108*f + 603. Let b(n) be the third derivative of -7*n**5/30 + 539*n**4/24 - 1507*n**3/3 + 7*n**2. Let p(q) = -2*b(q) - 11*w(q). Factor p(k).
-5*(k - 11)**2
Let y(n) be the third derivative of -n**7/1155 + n**5/330 + 29*n**2 - 1. Factor y(t).
-2*t**2*(t - 1)*(t + 1)/11
Factor -104/7*f - 2/7*f**2 - 1352/7.
-2*(f + 26)**2/7
Let m(w) be the second derivative of -w**6/900 - w**5/50 - 3*w**4/20 + w**3 + 2*w. Let s(d) be the second derivative of m(d). Factor s(g).
-2*(g + 3)**2/5
Let x(k) be the third derivative of 0*k + 1/8*k**4 + 0*k**3 - 1/35*k**7 + 1/10*k**5 + 0 - 1/40*k**6 - 2*k**2. Suppose x(b) = 0. Calculate b.
-1, -1/2, 0, 1
Let u(v) be the first derivative of v**9/13608 - v**8/1890 + v**7/945 - 23*v**3/3 - 30. Let l(i) be the third derivative of u(i). Factor l(r).
2*r**3*(r - 2)**2/9
Let s be (45/(-99))/((-1)/11). Let c(m) be the second derivative of -2/3*m**3 - 1/12*m**4 - s*m + 0 - 3/2*m**2. Factor c(z).
-(z + 1)*(z + 3)
Factor -1/4*k**3 + 3/2*k**2 + 0 - 9/4*k.
-k*(k - 3)**2/4
Factor 2/5*a**3 - 28/5*a + 2*a**2 + 0.
2*a*(a - 2)*(a + 7)/5
Factor 335*d**2 + 2*d**3 - 4*d - 2 - 10*d**3 - 321*d**2.
-2*(d - 1)**2*(4*d + 1)
Suppose 30 + 50 - 26*c**4 + 95*c + 15*c**4 + 16*c**4 + 70 - 75*c**2 - 15*c**3 = 0. Calculate c.
-3, -1, 2, 5
Factor 102*w**2 - 588 + 0*w**3 - 3*w**3 - 161*w - 343*w - 21*w**2.
-3*(w - 14)**2*(w + 1)
Let k = 10732/5 - 2146. Let t(a) be the first derivative of 11 + 2/5*a**2 + 2/15*a**3 + k*a. Let t(o) = 0. What is o?
-1
Let f(b) be the second derivative of -b**5/20 + 89*b**4/6 + 359*b**3/6 + 90*b**2 - 7*b + 74. Determine n, given that f(n) = 0.
-1, 180
Let x(a) = -a**3 - 2*a**2 - a - 1. Let c be x(-3). Let u = 15 - c. Factor -73*g**3 - 17*g**3 + 4*g**5 - 9*g**5 - 2*g**4 + 135*g + 42*g**u.
-5*g*(g - 3)**3*(g + 1)
Let o(i) = 2*i**3 + 1 + i**2 - 2*i**2 + i**3 + 0. Let u be o(1). Factor 3*y**3 - 3 - 6*y - 5*y**4 + 3*y**u + 8*y**4.
3*(y - 1)*(y + 1)**3
Factor u**2 - 6*u + 12*u - 3*u + u**3 + 3*u**2.
u*(u + 1)*(u + 3)
Find m such that 10 + 1/4*m**2 + 41/4*m = 0.
-40, -1
Let q(i) be the third derivative of -i**6/72 + i**5/15 + i**4/6 + 7*i**3/3 + 5*i**2. Let s(j) be the first derivative of q(j). Factor s(y).
-(y - 2)*(5*y + 2)
Let c be (-2)/13 + (-4644)/(-1118). Let z(v) be the second derivative of v + 1/2*v**3 + 1/16*v**c + 3/2*v**2 + 0. Factor z(t).
3*(t + 2)**2/4
Suppose 2*y = -2*y + 8. Suppose -3*g + g = -8. Factor c**2 + 5*c**y - 2 - g*c**2.
2*(c - 1)*(c + 1)
Let x(d) be the third derivative of 1/32*d**4 + 1/80*d**5 - 1/4*d**3 - 22*d**2 + 0 + 0*d. Factor x(t).
3*(t - 1)*(t + 2)/4
Let f(r) = r**2 - 40*r + 351. Let y be f(27). Solve 0 - 1/4*t**4 + 3/4*t**2 + 1/2*t + y*t**3 = 0.
-1, 0, 2
Let m(j) be the second derivative of -4*j**5/35 + 83*j**4/21 + 218*j**3/21 + 44*j**2/7 + 35*j. Find f, given that m(f) = 0.
-1, -1/4, 22
Let f = 10609 + -10609. Factor u**2 + 1/2*u**4 - 3/2*u**3 + 0*u + f.
u**2*(u - 2)*(u - 1)/2
Let j(h) be the third derivative of h**7/105 - 2*h**6/15 + 11*h**5/15 - 2*h**4 + 3*h**3 + 5*h**2 + 10. Factor j(s).
2*(s - 3)**2*(s - 1)**2
Let x(f) be the third derivative of 0 + 0*f**3 + 3/20*f**5 + 4*f**2 + 1/20*f**6 + 1/210*f**7 + 0*f + 0*f**4. Let x(y) = 0. What is y?
-3, 0
Let h(z) be the first derivative of 4*z**3 + 3 - 5/3*z**4 + 4/15*z**5 - 14/3*z**2 + 8/3*z. Factor h(y).
4*(y - 2)*(y - 1)**3/3
Let y(t) = 59*t**3 - 29 - 52 - 260*t - 572*t**3 - 825*t**2 - 133*t. Let z(f) = -64*f**3 - 103*f**2 - 49*f - 10. Let u(l) = 4*y(l) - 33*z(l). Factor u(n).
3*(n + 1)*(4*n + 1)*(5*n + 2)
Let o(z) be the second derivative of z**7/14 + z**6 + 39*z**5/20 - 7*z**4 - 14*z**3 + 48*z**2 + 7*z - 26. Determine g so that o(g) = 0.
-8, -2, 1
Let q be (1/3)/(1/15). Let o**4 + o**q + 5*o**2 + 0*o**4 - o**3 - o**2 - 5*o**2 = 0. Calculate o.
-1, 0, 1
Let d(z) be the third derivative of 0*z**3 - 20*z**2 + 0 - 1/2*z**4 + 0*z + 1/20*z**5. Factor d(j).
3*j*(j - 4)
Let u(n) be the second derivative of -7/33*n**3 - 2/11*n**2 + 0 - 49*n - 3/22*n**4 - 1/165*n**6 - 1/22*n**5. Factor u(h).
-2*(h + 1)**3*(h + 2)/11
Let j(r) be the second derivative of r**4/4 - 41*r**3 + 5043*r**2/2 + 321*r. Suppose j(l) = 0. Calculate l.
41
Factor 5/6 - 1/6*a**4 