 second derivative of s(l). Factor d(n).
-n**2*(n - 2)*(n - 1)/3
Let z(u) = u**2 - 17*u + 72. Let d be z(8). Factor d - 8/5*y + 2/5*y**2.
2*y*(y - 4)/5
Let k(s) be the second derivative of 2*s**6/5 + 7*s**5/5 + s**4 - 2*s**3 - 4*s**2 + 39*s. Solve k(r) = 0 for r.
-1, 2/3
Suppose -6*l + 2*l + 2*l = 0. Let d(k) be the first derivative of -5 + 0*k + 1/3*k**3 + l*k**2 + 1/4*k**4. Determine y so that d(y) = 0.
-1, 0
Let h(p) be the second derivative of -p**4/4 - p**3/2 + 3*p**2 + 80*p. What is j in h(j) = 0?
-2, 1
Suppose 18 + 108 = 21*i. Let b(t) be the third derivative of 3/8*t**4 - 1/10*t**5 + 0*t**3 + 0 + 12*t**2 + 0*t - 1/40*t**i. Let b(l) = 0. Calculate l.
-3, 0, 1
Let j(p) be the third derivative of p**8/33600 - p**7/4200 - 11*p**5/60 + 12*p**2. Let d(s) be the third derivative of j(s). Determine u so that d(u) = 0.
0, 2
Suppose 162*b = 163*b - 107. Let x = -107 + b. Determine h so that 3/2*h**4 + x - 3/2*h**2 + 3/2*h**3 - 3/2*h = 0.
-1, 0, 1
Let p = -472 - -1417/3. Let n(d) be the first derivative of 1/2*d**4 + 0*d**2 + 0*d + 1/5*d**5 + p*d**3 + 7. Factor n(l).
l**2*(l + 1)**2
Let c be 2*2*1/2. Let w = 76/99 + -6/11. Factor 2/9*b + 0 + w*b**c.
2*b*(b + 1)/9
Let t(c) = -c**3 + 4*c**2 + 8*c - 13. Let s be t(5). Suppose 0 = 5*g + 2*j - 17, -g - g - 2*j + 8 = 0. Factor l**g - l**3 + l**3 + s*l**3.
3*l**3
Let x(i) be the first derivative of i**8/336 + i**7/42 + i**6/40 - 3*i**5/20 - i**2/2 - 7*i + 21. Let r(d) be the second derivative of x(d). Factor r(n).
n**2*(n - 1)*(n + 3)**2
Let t be 84*(-14)/(-196) - (-1)/((-6)/32). Factor -56/3*n + 392/3 + t*n**2.
2*(n - 14)**2/3
Let o(f) be the third derivative of -7*f**5/12 - 5*f**4/12 + f**2 - 110. Factor o(w).
-5*w*(7*w + 2)
Let x(l) be the first derivative of 2*l**2 + 0*l + 7/2*l**4 - 12 + 6*l**3. Factor x(v).
2*v*(v + 1)*(7*v + 2)
Let g(s) be the third derivative of -s**7/315 - s**6/360 + 111*s**2. Let g(m) = 0. What is m?
-1/2, 0
Let n be (2 + 10)*(1 + -3). Let o be (10/8)/((-6)/n). Determine v, given that -39*v**4 - 20*v - 3*v**o + 27*v**2 + 12 + 12*v**5 + 39*v**3 - 26*v - 2*v = 0.
-1, 1/3, 1, 2
Let x be 7 - 145/20 - 3/4. Let a = x - -3/2. Let -1/2 + 1/4*h**3 + a*h**2 - 1/4*h = 0. Calculate h.
-2, -1, 1
Let m be ((-45)/300)/((-3)/5). Factor -1/4*w + 1/4 + 1/4*w**3 - m*w**2.
(w - 1)**2*(w + 1)/4
Let l = -16843/3 + 5615. Factor l*z + 2/3*z**2 - 2/3 - 2/3*z**3.
-2*(z - 1)**2*(z + 1)/3
Let l(k) be the second derivative of -k**8/2240 - k**7/1120 + k**6/240 - 31*k**3/6 + 4*k. Let r(i) be the second derivative of l(i). Factor r(v).
-3*v**2*(v - 1)*(v + 2)/4
Factor o**2 - 19*o + 44*o + 10 - 14*o.
(o + 1)*(o + 10)
Let l be 40/15 + -2 - 8/30. Let o(f) be the first derivative of 5 - 2/25*f**5 + l*f + 0*f**3 - 1/5*f**4 + 2/5*f**2. Determine s, given that o(s) = 0.
-1, 1
Let i(r) be the third derivative of r**7/70 - r**6/8 - r**5/20 + 5*r**4/8 - 18*r**2. Suppose i(g) = 0. Calculate g.
-1, 0, 1, 5
Let v(i) = -3*i**3 - 62*i**2 - 39*i + 26. Let g be v(-20). Suppose 3*h + 0*k - 2*k = g, 0 = -3*k. Factor 1/9*y**3 - 1/3*y**h + 1/3*y - 1/9.
(y - 1)**3/9
Suppose 6*l + 29 = 101. Factor 141*j**2 + l + 140*j**2 + 34*j - 259*j**2 + 4*j**3.
2*(j + 2)*(j + 3)*(2*j + 1)
Let h(d) be the first derivative of 7/18*d**4 + 2/45*d**5 + 34/27*d**3 - 55 + 4/3*d + 17/9*d**2. Factor h(p).
2*(p + 1)**2*(p + 2)*(p + 3)/9
Factor -1/5*n**3 + 0 - 1/5*n**4 + 1/5*n + 1/5*n**2.
-n*(n - 1)*(n + 1)**2/5
Let b(o) be the first derivative of -2/3*o**4 - 4/3*o**2 - 4/3*o - 37 + 32/9*o**3 - 28/15*o**5 + 8/9*o**6. Suppose b(i) = 0. Calculate i.
-1, -1/4, 1
Let q(x) be the third derivative of -10/3*x**3 - 5/2*x**4 + 0*x - 10*x**2 - 5/12*x**5 + 0. Suppose q(k) = 0. Calculate k.
-2, -2/5
Let f = 153 - 81. Let v = 74 - f. Suppose -3/2*l**5 + 0 + 5/2*l**4 + 5/2*l**3 - 5/2*l**v - l = 0. What is l?
-1, -1/3, 0, 1, 2
Let b(r) be the third derivative of r**5/20 + 7*r**4/2 + 27*r**3/2 + r**2 + 62*r. Determine t, given that b(t) = 0.
-27, -1
Let g = -8/67 + 211/1206. Let o(q) be the first derivative of 0*q**2 - 1 + g*q**6 + 1/4*q**4 + 1/5*q**5 + 1/9*q**3 + 0*q. Factor o(p).
p**2*(p + 1)**3/3
Let o = 11/62 + -12/155. Let b(k) be the first derivative of o*k**2 + 5 + 1/15*k**3 - 2/5*k. Factor b(l).
(l - 1)*(l + 2)/5
Let f(r) = 9*r**2 - 176*r + 1616. Let x(t) = -55*t**2 + 1055*t - 9695. Let i(o) = -25*f(o) - 4*x(o). Solve i(m) = 0 for m.
18
Let i = -4 + 8. Suppose 14 - 20 = -3*t. Find p such that -14*p**5 + 4*p**4 + 0 + 4*p + 18*p**5 - 8*p**3 + i - 8*p**t = 0.
-1, 1
Let f = -13 - -33. What is u in -10*u**3 + 25*u**4 - 26*u - 100*u**2 - f*u - 12*u + 98*u = 0?
-2, 0, 2/5, 2
Suppose 13 = 3*f - 4*x - 5, 2*f - 4*x - 16 = 0. Solve 16/7*q**f + 50/7*q**3 - 6*q**5 + 0 - 8/7*q - 16/7*q**4 = 0 for q.
-1, -2/3, 0, 2/7, 1
Determine k, given that 0*k**2 + 2*k**3 + 0 - 2/5*k**5 - 8/5*k + 0*k**4 = 0.
-2, -1, 0, 1, 2
Let -2/7*n**4 + 0 + 0*n - 8/7*n**3 - 8/7*n**2 = 0. Calculate n.
-2, 0
Suppose 6*g - 26 = -7*g. Factor n + 2 + 35*n**2 - 2*n**3 - 37*n**g + n**3.
-(n - 1)*(n + 1)*(n + 2)
Factor -v**2 - 6*v**2 - 40*v - 9*v**2 - 25 + v**2.
-5*(v + 1)*(3*v + 5)
Determine a so that -12/11 - 10/11*a - 2/11*a**2 = 0.
-3, -2
Let u(k) be the first derivative of 2/7*k**2 + 2/7*k**3 - 4 + 1/14*k**4 + 0*k. Factor u(n).
2*n*(n + 1)*(n + 2)/7
Let h(v) be the third derivative of v**6/120 - 7*v**5/30 - v**4/24 + 17*v**3/6 + 10*v**2 + v. Let u be h(14). Factor -2/7*i**u + 2/7*i + 2/7 - 2/7*i**2.
-2*(i - 1)*(i + 1)**2/7
Find r, given that 0 - 1/8*r**2 - 5/8*r = 0.
-5, 0
Let o(w) be the third derivative of -4/45*w**5 + 1/9*w**3 + 0*w - 7/36*w**4 + 0 + 11*w**2. Factor o(z).
-2*(z + 1)*(8*z - 1)/3
Let i(l) be the third derivative of -l**5/30 + l**3/2 - 4*l**2. Let n be i(0). Solve 0*q + 4/7*q**2 + 4/7*q**5 + 12/7*q**n + 0 + 12/7*q**4 = 0 for q.
-1, 0
Let i(w) be the second derivative of -w**7/315 + 4*w**6/225 + w**5/25 - 16*w**4/45 + 7*w**3/9 - 4*w**2/5 - 177*w. Determine p, given that i(p) = 0.
-3, 1, 4
Let h(s) be the third derivative of -s**5/60 - 2*s**4/3 - 20*s**2. Let j be h(-16). Determine o, given that -1/2*o**2 + j*o + 2 = 0.
-2, 2
Let i(q) = -73*q - 19. Let z be i(-8). Factor 25*w + z*w**3 + 5*w**5 - 590*w**3 - 5*w + 15*w**4 - 15*w**2.
5*w*(w - 1)**2*(w + 1)*(w + 4)
Let g = -1249/10 + 125. Let z(l) be the third derivative of 11/8*l**4 - l**3 - 13/20*l**5 - 3*l**2 + g*l**6 + 0*l + 0. Suppose z(b) = 0. Calculate b.
1/4, 1, 2
Let u(t) = t**4 + t**3 - 6*t**2. Let s(l) = -l**4 - l**3 + l**2. Suppose -2*b = 1 - 3. Let x(n) = b*u(n) + 6*s(n). Determine a, given that x(a) = 0.
-1, 0
Suppose 39*q - 362 = -245. Factor 9/4*a**2 + 27/4*a + 1/4*a**q + 27/4.
(a + 3)**3/4
Let l(s) be the third derivative of -5*s**8/112 - 26*s**7/35 - 37*s**6/8 - 133*s**5/10 - 20*s**4 - 16*s**3 - 68*s**2. What is q in l(q) = 0?
-4, -1, -2/5
Let j(x) be the first derivative of x**3/9 + 8*x**2/3 - 80*x/3 + 315. Factor j(r).
(r - 4)*(r + 20)/3
Factor 287*u - 589*u + 282*u - 300 + 5*u**2.
5*(u - 10)*(u + 6)
Let f be (-603)/(-324) - (5 - (-132)/(-27)) - 1. Suppose 0 + 1/4*h**2 - f*h = 0. Calculate h.
0, 3
Suppose -3*h = -h - 8. Suppose h = 6*m - 5*m. Find d such that -4*d**3 - 3*d**m + 6*d - 2*d**3 + 5*d**2 - 2*d**2 + 0*d**4 = 0.
-2, -1, 0, 1
Suppose 5*n + 13 = 3, 4*j - 3*n = 14. Factor 905*q + 2*q**j + 0*q**3 - q**3 - 906*q.
-q*(q - 1)**2
Let y be 0 + (4/(-9))/(18/(-81)). Suppose 0*s - 5*u = -2*s, -y*u = 5*s. Suppose 1/5*o**2 + s + 1/5*o = 0. Calculate o.
-1, 0
Let o(w) = 17*w**2 - 17*w. Let y(m) be the third derivative of -2*m**5/15 + m**4/3 - 9*m**2. Let f(j) = 3*o(j) + 7*y(j). Find n, given that f(n) = 0.
0, 1
Let c(w) be the first derivative of -4/3*w**3 + 0*w - 2*w**2 + 33. Factor c(v).
-4*v*(v + 1)
Let x(a) be the third derivative of 11*a**5/270 - 10*a**4/27 - 16*a**3/27 + 148*a**2. Factor x(p).
2*(p - 4)*(11*p + 4)/9
Let -3/4*f**4 + 9*f**3 + 48*f - 36*f**2 + 0 = 0. Calculate f.
0, 4
Let k(l) be the third derivative of -l**7/1680 + l**5/240 + 5*l**3/2 + l**2 - 3. Let v(x) be the first derivative of k(x). Let v(a) = 0. What is a?
-1, 0, 1
Let c(a) be the second derivative of 5/18*a**3 - 1/60*a**5 - 25*a + 1/3*a**2 + 0 + 1/12*a**4 - 1/90*a**6. Factor c(v).
-(v - 2)*(v + 1)**3/3
Let x(m) be the third derivative of m**8/8400 - m**7/2100 + m**5/300 - m**4/120 + 2*m**3 + 9*m**2. Let t(s) be the first derivative of x(s). Factor 