2)*(m + 15)
Let o(i) be the second derivative of -8*i**6/45 + 2*i**5/15 + 5*i**4/12 - 4*i**3/9 + i**2/6 + 16*i. Determine n, given that o(n) = 0.
-1, 1/4, 1
Let j(y) be the third derivative of 0*y - 73/2*y**4 - 3125/14*y**7 + 0 - 2375/8*y**6 + 345/2*y**5 - y**2 + 4*y**3. Factor j(k).
-3*(k + 1)*(25*k - 2)**3
Suppose 0 = 4*f - 11 + 3. Let x(w) = 3*w - 23. Let j be x(9). Factor 4*q**2 + f*q**j + 2*q**4 + q**5 + 4*q - 3*q**3 - 6*q**4.
q*(q - 2)**2*(q + 1)**2
Let g(l) = l + 9. Let n be g(-7). Let c be n*(-3 - 27/(-6)). What is w in -3 - c + 4 - 3*w**2 + 7*w = 0?
1/3, 2
Let t be (-506)/3795 - 31/(-120). Factor t*i**3 - 1/8*i - 1/4*i**2 + 1/4.
(i - 2)*(i - 1)*(i + 1)/8
Suppose -51*t = -58*t + 21. Factor 3/2*p**3 - 3 - 3/2*p + t*p**2.
3*(p - 1)*(p + 1)*(p + 2)/2
Let p be 10/25 - (-32632)/20. Factor 1632*v + 4*v**2 - 4*v**3 + v**4 - p*v.
v**2*(v - 2)**2
Let b(j) be the second derivative of j**7/126 - j**6/30 + j**5/30 - 77*j. Factor b(d).
d**3*(d - 2)*(d - 1)/3
Let m be (-20)/6 - 2/3. Let b be 2 - ((-4)/(-8)*m)/1. Solve 0*n - 1/3*n**2 + n**b + 0 + 0*n**3 - 2/3*n**5 = 0 for n.
-1/2, 0, 1
Let k(s) = s**2 - 207*s + 9960. Let a be k(131). Find j such that j**3 + 1/6*j**a + 13/6*j**2 + 2*j + 2/3 = 0.
-2, -1
Let c(i) be the third derivative of -i**5/20 + 2*i**3 - 5*i**2 - i. Factor c(v).
-3*(v - 2)*(v + 2)
Let k(s) = s**4 - 7*s**3 + s**2 + 5*s - 2. Let y(b) = b**3 - b**2 + 1. Let p(l) = -3*k(l) - 6*y(l). Suppose p(u) = 0. Calculate u.
-1, 0, 1, 5
Let z(s) be the third derivative of -s**7/315 + s**6/30 - s**5/90 - 2*s**4/3 - 16*s**3/9 + 28*s**2. Solve z(c) = 0.
-1, 4
Suppose 0 = -7*y + y + 18. Factor 2*l + 10*l**3 - 9*l**y + 8*l**2 - l**5 + 5*l**3 + l.
-l*(l - 3)*(l + 1)**3
Let g(i) be the second derivative of 3*i**5/100 - i**4/5 - 7*i**3/2 + 45*i**2 + 597*i. Solve g(k) = 0.
-6, 5
Let j(a) = a**3 - 24*a**2 + 22*a + 23. Let g be j(23). Suppose -4*i = 3*i. Factor g - 2/17*y**5 - 54/17*y**2 - 54/17*y**3 - 18/17*y**4 + i*y.
-2*y**2*(y + 3)**3/17
Let h(v) = -2*v - 1. Let x be h(-3). Solve 204*j**3 - 206*j**3 + 3*j**x - j**5 = 0.
-1, 0, 1
Let o(r) = -r**4 + r. Let n(c) = -52*c**4 - 62*c - 72*c**2 + 100*c**4 - 20 - 54*c**4 - 32*c**3. Let z(a) = -n(a) + 2*o(a). Determine x, given that z(x) = 0.
-5, -1
Let w(q) = -q**2 + 5*q. Let d be w(4). Suppose -4*z + x + 8 = 0, 0 = 39*z - 44*z - 2*x + 10. Solve 0 + 189/2*r**d - 45*r**3 + 6*r**z - 147/4*r**5 + 0*r = 0.
0, 2/7, 2
Let a(i) be the first derivative of 5/54*i**4 + 1/270*i**5 + 0*i + 13/2*i**2 + 25/27*i**3 - 10. Let j(k) be the second derivative of a(k). Factor j(b).
2*(b + 5)**2/9
Let m(x) = x**2 - 46*x - 255. Let l be m(-5). Let g(z) be the first derivative of 7 + l*z + 2/3*z**3 + 3*z**2. Factor g(r).
2*r*(r + 3)
Let p(r) be the second derivative of r**7/360 + r**6/80 + r**5/60 - 3*r**4/4 - 2*r. Let j(b) be the third derivative of p(b). Let j(w) = 0. Calculate w.
-1, -2/7
Suppose -2*g + 8 = 2*g. Let c(w) = w**3 + w**2 - 3*w - 4. Let f be c(2). Factor 3*x**2 - x**g + 2 - 4*x**f.
-2*(x - 1)*(x + 1)
Let t(c) be the second derivative of 1/12*c**2 + 0 - 1/36*c**4 + 19*c + 1/60*c**5 - 1/36*c**3 - 1/252*c**7 + 1/180*c**6. What is p in t(p) = 0?
-1, 1
Let j = -1999 + 21993/11. Let i(k) be the first derivative of 1/33*k**6 + j*k**2 + 13/22*k**4 + 12/55*k**5 - 13 + 0*k + 8/11*k**3. Factor i(s).
2*s*(s + 1)**2*(s + 2)**2/11
Let n(y) be the first derivative of -y**9/6048 + y**8/1680 - y**6/360 + y**5/240 + 7*y**3/3 - 12. Let u(p) be the third derivative of n(p). Factor u(h).
-h*(h - 1)**3*(h + 1)/2
Let n(i) be the second derivative of -i**7/210 + 23*i**6/50 - 1587*i**5/100 + 12167*i**4/60 - 29*i. Determine p so that n(p) = 0.
0, 23
Let o(x) be the first derivative of -x**4/10 + 22*x**3/15 + 4*x**2/5 - 88*x/5 - 120. Factor o(w).
-2*(w - 11)*(w - 2)*(w + 2)/5
Let y = -51218/7 - -7317. Factor -y + 3/7*c**4 - 2/7*c**2 + 4/7*c**3 - 4/7*c.
(c - 1)*(c + 1)**2*(3*c + 1)/7
Let v(a) be the first derivative of 4*a**5/5 - 4*a**4 + 4*a**3/3 + 12*a**2 - 71. Factor v(w).
4*w*(w - 3)*(w - 2)*(w + 1)
Let d(u) be the first derivative of -11 + 2/75*u**5 + 32/45*u**3 - 4/15*u**4 + 0*u**2 + 0*u. Factor d(k).
2*k**2*(k - 4)**2/15
Let a(b) be the first derivative of 9*b**5/5 - 15*b**4/4 + 25*b**3/12 - 168. Determine f so that a(f) = 0.
0, 5/6
Let h = -734 - -44041/60. Let m(d) be the second derivative of -2/63*d**7 + 0 + 0*d**3 + 0*d**2 + 0*d**4 + 2*d - 2/45*d**6 - h*d**5. Factor m(o).
-o**3*(2*o + 1)**2/3
Let q(p) be the third derivative of -3/140*p**5 - 1/24*p**4 - 1/168*p**6 - 1/1470*p**7 - 1/21*p**3 + 3*p**2 + 0 + 0*p. Find o, given that q(o) = 0.
-2, -1
Let q(b) be the second derivative of 0 - 64/13*b**2 - 16/13*b**3 - 3/26*b**4 - 19*b. Determine a so that q(a) = 0.
-8/3
Let q(l) = -l**2 - 27*l - 80. Let i(u) = 2*u**2 + 40*u + 120. Let r(c) = -5*i(c) - 8*q(c). Factor r(s).
-2*(s - 10)*(s + 2)
Let g = -11 - -13. Suppose f - g*q = 2*q + 15, 0 = -5*f - 3*q + 6. Factor -1/4*p**f + 1/2 + 1/4*p - 1/2*p**2.
-(p - 1)*(p + 1)*(p + 2)/4
Suppose 0*g - 3*g + 12 = 0. Let f(m) = 5*m**2 + 45*m + 40. Let o(l) = l**2 + 11*l + 10. Let t(j) = g*f(j) - 15*o(j). Suppose t(k) = 0. Calculate k.
-2, -1
Suppose 65*j**3 + 836 - 105*j**2 - 726 - 65*j - 5*j**4 + 0*j**4 = 0. What is j?
-1, 1, 2, 11
Suppose 3*a + k + 2*k - 36 = 0, -4*k + 56 = 5*a. Suppose -a*z + 25 - 1 = 0. Let -6*s**3 + z*s + 3*s**3 + 0*s + 0*s = 0. What is s?
-1, 0, 1
Let p(s) = -5*s - 21*s**2 + 2 + 0 + 4. Suppose -193*m + 197*m = 16. Let i(l) = 20*l**2 + 4*l - 5. Let c(j) = m*p(j) + 5*i(j). Factor c(o).
(4*o - 1)*(4*o + 1)
Let s(z) = z**2 - 7*z - 3. Let j be s(7). Let h = j - -3. Find p such that 4*p**2 + 9*p**3 - 7*p**3 + h*p + 0*p = 0.
-2, 0
Let d(l) be the third derivative of 1/36*l**3 + 0*l + 1/720*l**6 - 1/360*l**5 - 1/144*l**4 + 0 - 19*l**2. Let d(k) = 0. Calculate k.
-1, 1
Let k be 0/(10 - (1 - -11)). Find n, given that 2/5*n + 2/15*n**2 + k = 0.
-3, 0
Let h(z) be the third derivative of z**7/210 + z**6/60 + z**5/60 + 80*z**2. Factor h(g).
g**2*(g + 1)**2
Let z(t) be the first derivative of -1/2*t**6 + 3/4*t**4 - 3/5*t**5 + 0*t**2 + t**3 + 0*t + 14. Find x, given that z(x) = 0.
-1, 0, 1
Let s(y) be the first derivative of -y**6/2 + 27*y**5/5 + 15*y**4/2 + 328. Factor s(h).
-3*h**3*(h - 10)*(h + 1)
Let x(l) be the second derivative of -l**5/30 - l**4/3 - 11*l**2/2 + 10*l. Let w(g) be the first derivative of x(g). Find k such that w(k) = 0.
-4, 0
Let m be 6*(-4)/20*40/(-12). Find z such that -47*z**2 + 23*z**3 + 36 + z**5 - 63*z**m - 20*z - 4*z + 74*z**4 = 0.
-6, -1, 1
Let x(g) be the second derivative of -g**4/12 - 2*g**3/3 - 2*g**2 - 2*g - 6. Factor x(z).
-(z + 2)**2
Solve 4*p**2 - 48 + 423 - 176 + 41 - 92*p = 0.
3, 20
Let d = -1/8175 - -1637/16350. Suppose -d*x**4 + 1/2*x**2 + 1/10*x**5 + 0 - 3/10*x**3 - 1/5*x = 0. What is x?
-2, 0, 1
Solve -21*i - 4*i**3 + 18 - 33*i**2 + 3*i**3 + 41*i**2 = 0 for i.
2, 3
Let v(q) be the second derivative of -q**7/168 + 11*q**6/120 - 19*q**5/80 + 3*q**4/16 - 232*q. Factor v(h).
-h**2*(h - 9)*(h - 1)**2/4
Find s such that 16/11*s**4 + 7/11*s**5 + 0 - 87/11*s**3 + 20/11*s + 4*s**2 = 0.
-5, -2/7, 0, 1, 2
Let u(c) be the third derivative of 1/180*c**6 - 2*c**2 - 1/18*c**4 - 1/90*c**5 + 0*c + 0 + 0*c**3. Factor u(r).
2*r*(r - 2)*(r + 1)/3
Let s = 5 - 3. Let b = 3404/9 + -378. Suppose -2/9*u**4 + 0 + 2/9*u**s + b*u**3 - 2/9*u = 0. Calculate u.
-1, 0, 1
Let -26930/3*t**2 + 266/3*t**4 - 8438/3*t**3 - 2/3*t**5 - 27472/3*t - 9248/3 = 0. Calculate t.
-1, 68
Let l(y) be the second derivative of y**8/4032 + y**7/504 + y**6/144 + y**5/72 + 5*y**4/6 - 2*y. Let f(k) be the third derivative of l(k). Factor f(r).
5*(r + 1)**3/3
Let b(w) = -3*w**2 - 9*w + 2. Let q be b(-3). Suppose 5*r - q*r = 0. Factor r + 0*y**2 - 4/5*y**3 + 2/5*y**4 + 0*y.
2*y**3*(y - 2)/5
Let v(d) be the second derivative of 0*d**2 + 5/12*d**4 + 0 + 1/6*d**6 - 1/2*d**5 + 4*d + 0*d**3. Factor v(o).
5*o**2*(o - 1)**2
Let d be 2/(-1 - -2)*1. What is g in 6*g**d + 2 - 9*g - 10*g**3 + 13*g**2 - 2*g = 0?
2/5, 1/2, 1
Let s be -3 + 12*8/6. Find v, given that 2*v**2 - 20*v + 4 + 13*v + s*v = 0.
-2, -1
Let y = -9 - -12. Suppose -4*q**2 + q + y*q**2 - 4*q + 0*q**2 = 0. Calculate q.
-3, 0
Let i = 137/413 - -2/1239. Let d(t) be the first derivative of -4 - i*t - 1/12*t**2 + 1/24*t**4 + 1/9*t**3. Suppose d(v) = 0. What is 