n s(j) = 0?
0, 2
Let w(a) be the third derivative of 1/1050*a**7 - 4*a**2 + 0 + 0*a + 0*a**5 - 1/300*a**6 + 1/60*a**4 - 1/30*a**3. Factor w(t).
(t - 1)**3*(t + 1)/5
Let p(s) be the third derivative of -s**6/600 - 7*s**5/300 + 7*s**4/40 + 9*s**3/10 + s**2 - 31. Let p(n) = 0. What is n?
-9, -1, 3
Suppose 5*d = 10*d - 20. Suppose -2*j = -d - 2. Factor 3 - 9*s - 9/2*s**j + 3/4*s**4 + 39/4*s**2.
3*(s - 2)**2*(s - 1)**2/4
Let k(x) = -311*x**2 - 324*x - 8. Let p(f) = -155*f**2 - 162*f - 4. Let r(m) = 6*k(m) - 10*p(m). Solve r(q) = 0 for q.
-1, -2/79
Let q(g) be the first derivative of 1 - 2/15*g**6 + 1/3*g**4 + 0*g**2 - 2/3*g**3 + 2*g + 1/5*g**5. Let o(s) be the first derivative of q(s). Factor o(c).
-4*c*(c - 1)**2*(c + 1)
Let g be (-38)/(-7) - 40/(-70). Let v be (-4)/g*(-13)/((-52)/(-24)). Factor 10/11*s**3 + 4/11*s**v + 0 + 0*s + 4/11*s**2.
2*s**2*(s + 2)*(2*s + 1)/11
Let c(d) be the third derivative of d**8/26880 - d**6/2880 - 5*d**4/24 - 18*d**2. Let y(k) be the second derivative of c(k). Find i such that y(i) = 0.
-1, 0, 1
Let k(g) be the second derivative of 0*g**3 + 0*g**2 + 1/24*g**4 - 1/84*g**7 + 8*g + 0 - 3/40*g**5 + 1/20*g**6. Factor k(y).
-y**2*(y - 1)**3/2
Let p = -14 - -19. Let 43*y**3 + p*y - 47*y**3 + 8 - y - 8*y**2 = 0. Calculate y.
-2, -1, 1
Let c(z) be the second derivative of z**4/12 - 103*z**3/6 + 101*z**2 - 599*z. Factor c(m).
(m - 101)*(m - 2)
Let q be (9/(-4))/((-21)/112). Factor 12*m - 10*m**2 + 5*m**3 - m**3 + 10*m**2 - 4 - q*m**2.
4*(m - 1)**3
Solve 165*j - 3125 + 836*j**2 + 85*j - 841*j**2 = 0 for j.
25
Factor -2/5*m**2 + 52/5*m - 10.
-2*(m - 25)*(m - 1)/5
Factor 1/7*d**3 + 0 + 1/7*d**2 - 2/7*d.
d*(d - 1)*(d + 2)/7
Let x = 25 - 22. Let n = -1 + x. Determine z so that -3*z**3 + 110*z**2 + 0*z - 80*z**n - 45*z - 2*z**3 = 0.
0, 3
Let x(h) be the first derivative of 3*h**5/35 + 117*h**4/7 + 869*h**3 - 234*h**2/7 - 18252*h/7 - 210. Solve x(z) = 0 for z.
-78, -1, 1
Factor 0 + 0*d - 6/5*d**2 - 4*d**4 + 26/5*d**3.
-2*d**2*(d - 1)*(10*d - 3)/5
Let w(v) = -285*v**3 + 175*v**2 + 5325*v - 3565. Let b(k) = 13*k**3 - 8*k**2 - 242*k + 162. Let n(l) = 45*b(l) + 2*w(l). Factor n(a).
5*(a - 4)*(a + 4)*(3*a - 2)
Suppose -6*u = -u. Suppose -4*x = -3*x - 2*h - 24, u = -3*x + h + 72. Factor 96*a + 31*a**2 + 2*a**3 - x*a + 4*a**3 + 27 + 8*a**2.
3*(a + 3)**2*(2*a + 1)
Find y such that 92 + 4/5*y**2 - 464/5*y = 0.
1, 115
Let o(u) = -10*u**2 + 3*u. Let z = 23 + -24. Let l(x) = -x**2. Let r(a) = z*o(a) + 6*l(a). Solve r(k) = 0.
0, 3/4
Let c(g) be the third derivative of -1/360*g**5 + 0 + 0*g - 1/144*g**4 + 0*g**3 - 8*g**2. Factor c(v).
-v*(v + 1)/6
Suppose 5*k - 4*w - 101 = 0, -k - w + 1 = 3*w. Let -39 - 55*z**2 - 28*z - k*z + 49 = 0. Calculate z.
-1, 2/11
Let d(x) be the second derivative of -4*x**2 + 0 + 8/9*x**3 + 1/18*x**4 + 14*x - 1/30*x**5. Let d(h) = 0. Calculate h.
-3, 2
Let y(b) = b**3 - 21*b**2 + 32*b + 128. Let n(i) = i**3 - 20*i**2 + 32*i + 128. Suppose -6*g + 91 = 7*g. Let z(s) = g*n(s) - 6*y(s). Let z(l) = 0. Calculate l.
-2, 8
Let 16/3*n + 1/3*n**2 + 28/3 = 0. Calculate n.
-14, -2
Determine p so that -45/8*p + 3/8*p**2 - 51/4 = 0.
-2, 17
Let m(c) = c**2 + 18*c + 60. Let a be m(-14). Suppose -3*r = a*d - 3, -12 = 2*d - 5*d + r. Find s, given that -9/2*s**2 - 1/2 + d*s = 0.
1/3
Let c = -85 - -87. Let d(o) be the first derivative of -3 + 3/5*o**5 - 9/4*o**4 + 0*o + 3*o**3 - 3/2*o**c. Factor d(r).
3*r*(r - 1)**3
Factor 1/3*q**3 + 9*q**2 + 169/3 + 65*q.
(q + 1)*(q + 13)**2/3
Let k(c) = 2*c**5 + 15*c**4 + 67*c**3 + 126*c**2 + 81*c + 29. Let z(a) = a**5 + 7*a**4 + 33*a**3 + 64*a**2 + 40*a + 15. Let t(p) = 3*k(p) - 5*z(p). Factor t(n).
(n + 1)**3*(n + 3)*(n + 4)
Factor -2294/5*w + 5766/5 + 26*w**2 - 2/5*w**3.
-2*(w - 31)**2*(w - 3)/5
Let s(u) be the first derivative of 5*u**2/2 - u - 4. Let j be s(1). Factor -5*o**2 + 4*o**j + 4*o**2 + 2*o**2 - 5*o**4.
-o**2*(o - 1)*(o + 1)
Suppose -6*x + 5 = 11. Let c(a) = -5*a**5 + 15*a**3 - 20*a**2 + 10*a. Let m(r) = -r**4 + r**3 - r**2 + r. Let h(g) = x*c(g) + 10*m(g). Factor h(n).
5*n**2*(n - 2)*(n - 1)*(n + 1)
Factor -74/5*q**2 - 782/5*q - 2/5*q**3 - 1734/5.
-2*(q + 3)*(q + 17)**2/5
Determine r so that r**2 + 8 + 9*r - 392*r**3 + r + 391*r**3 = 0.
-2, -1, 4
Let d(z) be the first derivative of -2*z**3/15 + 38*z**2/5 - 722*z/5 + 5. Factor d(m).
-2*(m - 19)**2/5
Suppose 8*s + 111*s = -8*s - 20*s. Determine u so that -1/6*u**5 - 1/3*u**2 + 1/3*u**4 + 0 + s*u + 1/6*u**3 = 0.
-1, 0, 1, 2
Let t(m) be the first derivative of -m**4/22 - 4*m**3/33 + m**2/11 + 4*m/11 + 45. Determine s, given that t(s) = 0.
-2, -1, 1
Let f(k) be the second derivative of 0 + 1/357*k**7 + 0*k**3 - 8/85*k**5 - 1/255*k**6 + 0*k**2 + 11*k - 10/51*k**4. Find o such that f(o) = 0.
-2, 0, 5
Let u(s) = s + 16. Let a be ((-25)/4 + 1)/((-51)/(-136)). Let w be u(a). Factor 0 + 2/3*k**w + 0*k.
2*k**2/3
Let f(n) be the third derivative of n**8/336 + n**7/70 - n**6/120 - 11*n**5/60 - n**4/2 - 2*n**3/3 + 26*n**2. Suppose f(y) = 0. Calculate y.
-2, -1, 2
Suppose 9*a = 11*a + 2. Let m be (23 - 23)/(-5 - a). Factor -i + m - 1/3*i**2.
-i*(i + 3)/3
Factor -22/5 + 2/5*w**3 - 2/5*w + 22/5*w**2.
2*(w - 1)*(w + 1)*(w + 11)/5
Let r = 58493 + -58491. Factor -6480/11*y - 34560/11*y**r - 92160/11*y**3 - 486/11 - 122880/11*y**4 - 65536/11*y**5.
-2*(8*y + 3)**5/11
Let m(d) be the first derivative of d**4/20 - 2*d**3/15 - 12*d**2/5 - 360. Factor m(w).
w*(w - 6)*(w + 4)/5
Let a(k) be the second derivative of 1/9*k**4 - 21*k + 0 + 2/3*k**3 + 4/3*k**2. Let a(u) = 0. What is u?
-2, -1
Let c(f) be the first derivative of 0*f - 2/3*f**3 - 8 - 2*f**2. Suppose c(p) = 0. What is p?
-2, 0
Let c be (-6 - -3)/(0 + -1). Factor 12*k**c - 190*k**2 + 136*k**2 + 29*k - 21 + 0*k**3 + 3*k**4 + 31*k.
3*(k - 1)**3*(k + 7)
Let b(d) = 2*d**2 - 63*d - 71. Let n(l) = -9*l**2 + 250*l + 285. Let y(h) = 26*b(h) + 6*n(h). Factor y(j).
-2*(j + 1)*(j + 68)
Let 8/11*w - 20/11*w**2 - 2/11*w**3 + 8/11*w**4 - 2/11*w**5 + 16/11 = 0. What is w?
-1, 2
Suppose -15 = x - 5*z, 136*z = 143*z - 21. Suppose 0 + x*m + 0*m**2 - 3/4*m**5 + 3*m**4 - 3*m**3 = 0. Calculate m.
0, 2
Let 109*q + 5*q**4 - 18*q**2 + 99*q**2 + 116*q + 104*q**2 + 55*q**3 + 90 = 0. What is q?
-6, -3, -1
Let l(w) be the first derivative of w**3/4 + 93*w**2/2 + 2883*w + 188. Determine t, given that l(t) = 0.
-62
Determine y so that 2148*y - 192*y**2 + 4620 + 196*y + 3*y**3 + 527*y + 1914 = 0.
-2, 33
Suppose q = -w + 3*w - 2, -3*w - 1 = -2*q. Suppose -37 = -4*t - 5*o, q + 15 = t + 4*o. Factor -4*h + 7*h - 2*h - 1 + h**3 + 2*h**2 - h**4 - t*h**3 + h**5.
(h - 1)**3*(h + 1)**2
Let i = -15575 - -124603/8. Determine n so that 1/4*n + 0 - 1/8*n**5 - 3/8*n**4 - 1/8*n**3 + i*n**2 = 0.
-2, -1, 0, 1
Suppose 28/17*r**2 + 0 + 36/17*r**4 - 10/17*r**5 - 6/17*r - 48/17*r**3 = 0. What is r?
0, 3/5, 1
Let g be 6/9 - 62/(-15). Let m = 2069 + -10341/5. Let g*p - 49/5*p**2 + 39/5*p**3 - 2*p**4 - m = 0. Calculate p.
2/5, 1/2, 1, 2
Suppose 59*r**2 - 8*r**3 + 93*r**3 - 15*r + 80*r + 101*r**2 - 10 = 0. Calculate r.
-1, 2/17
Let r(q) be the second derivative of q**4/6 - 76*q**3/3 + 1444*q**2 + 7*q. Factor r(u).
2*(u - 38)**2
Let d = 483/5030 + 2/503. Let i(x) be the second derivative of -1/30*x**6 + 0*x**3 - 4*x + d*x**5 - 1/12*x**4 + 0 + 0*x**2. Factor i(q).
-q**2*(q - 1)**2
Let v(l) be the first derivative of 4*l**3/3 - 2*l**2 - 8*l - 33. Factor v(o).
4*(o - 2)*(o + 1)
Let j(r) be the third derivative of r**6/60 + r**5/15 + r**4/12 + 44*r**2 + 3. Find n, given that j(n) = 0.
-1, 0
Let v be (-39)/(-63) - 345/(-483). Suppose v*l + 8/9 + 4/9*l**2 = 0. Calculate l.
-2, -1
Let t(y) be the second derivative of -y**7/441 - 188*y**6/315 - 1441*y**5/35 + 8930*y**4/63 - 9025*y**3/63 + 321*y. Factor t(i).
-2*i*(i - 1)**2*(i + 95)**2/21
Suppose 20*b + 3490 = -330. Let c = b - -194. Factor -p + 1/2*p**2 + 5/2*p**c + 0 + p**4.
p*(p + 1)*(p + 2)*(2*p - 1)/2
Let d(x) = 64*x + 2624. Let m be d(-41). Factor -1/6*h**3 + m - 2/3*h + 2/3*h**2.
-h*(h - 2)**2/6
Let c(f) be the third derivative of -f**8/672 - f**7/420 + 7*f**6/240 + f**5/120 - f**4/8 - 89*f**2. Let c(y) = 0. What is y?
-3, -1, 0, 1, 2
Let v(i) be the second derivative of -i**5/40 + 11*i**4/8 - 21*i**3/4 + 31*i**2/4 + 138*i. Factor v(h).
-(h - 31)*(h - 1)**2/2
Let a be (-10)/4*(-28)/5. Let c be (-80)/(-35) + (-4)/