h). Let q(f) = 0. Calculate f.
399
Let k(h) be the third derivative of -4*h**2 + 1/12*h**5 + 125/12*h**4 + 3125/6*h**3 + 15*h + 0. Factor k(z).
5*(z + 25)**2
Let j = -647164/3 + 215722. Let 8/3 + 8/3*l - 2/3*l**3 - j*l**2 = 0. What is l?
-2, -1, 2
Let i(q) = 3*q - 12. Let a be i(5). Let x(l) = 5*l - 10. Let v be x(a). Let -2*f**4 - v*f + 7*f**2 + 2*f**2 - 5*f**3 + 8*f - 5*f**2 = 0. What is f?
-3, -1/2, 0, 1
Suppose 120*b - 109*b - 33 = 0. Determine d so that -103*d**4 - 18*d**3 + 40*d**2 + 85*d**4 - 6*d**b + 2*d**5 = 0.
-2, 0, 1, 10
Let g(p) = -5*p**2 + 14*p - 81. Let r(m) = -9*m**2 + 29*m - 162. Let i be (-189)/36*4/(-3). Let q(c) = i*g(c) - 4*r(c). Factor q(h).
(h - 9)**2
Let w(z) = -z**3 - z**2 - 208*z + 210. Let v be w(1). Solve -2/9*s**4 + 2/9*s**5 + 0*s + 0*s**2 + 0*s**3 + v = 0 for s.
0, 1
Let w be (42/8 - 5)/(-3 - (-64)/21). Determine k, given that 15/4*k - 47/4*k**2 + k**4 + 7/4 + w*k**3 = 0.
-7, -1/4, 1
Let p(t) = -2*t**2 + 17*t - 7. Suppose -38*b + 8*b = -240. Let d be p(b). Factor -2/3*x**2 - d + 7/3*x.
-(x - 3)*(2*x - 1)/3
Let a = -87/4771 + 5206/23855. Let 29/5*w**2 - a + 28/5*w = 0. Calculate w.
-1, 1/29
Let w(l) be the second derivative of l**8/588 - l**7/1470 - l**6/126 + l**5/210 + 8*l**3 - l + 1. Let u(c) be the second derivative of w(c). Solve u(j) = 0.
-1, 0, 1/5, 1
Let t(z) be the first derivative of 5*z**4/4 + 160*z**3/3 - 175*z**2/2 - 330*z + 258. Factor t(n).
5*(n - 2)*(n + 1)*(n + 33)
Let m(f) be the second derivative of f**4/8 - 31*f**3/3 - 21*f**2 - 2025*f. Determine c so that m(c) = 0.
-2/3, 42
Suppose 4*j + 3*j = -0*j. Suppose 13*m - 7*m - 12 = j. Solve 4/17 + 2/17*z - 2/17*z**m = 0 for z.
-1, 2
Factor 10*r**3 + 0 + 0*r + 36*r**2 + 2/3*r**4.
2*r**2*(r + 6)*(r + 9)/3
Let m be ((-7)/6 + 6/9)*0. Suppose m = -4*s + 3*s + 4. Determine i, given that 4*i**3 - 14 + 4*i**5 + 24*i**s + 32*i**3 + 14 = 0.
-3, 0
Let v be (70/40 - 2)*(-31 + 1) - 6. Let o(q) be the first derivative of 1/3*q**3 + v*q**2 + 1/5*q**5 - 20 - 3/4*q**4 - 2*q. Let o(f) = 0. What is f?
-1, 1, 2
Let x be 5*(-10)/75*(49 + -33 + -22). Factor -104/3*m**2 + 16/3 + 88/3*m**3 - 31/3*m**x + 32/3*m + 4/3*m**5.
(m - 2)**4*(4*m + 1)/3
Suppose 60*f - 56*f - 128 = 0. Find a such that -f - 76*a + 16*a - 4*a**2 + 15*a + 21*a = 0.
-4, -2
Let f(r) be the second derivative of 9*r + 22/3*r**3 + 48*r**2 + 0 - 1/6*r**4. Factor f(h).
-2*(h - 24)*(h + 2)
Let f(s) be the first derivative of s**6/540 + s**5/360 - s**4/72 - 56*s**3/3 + s + 49. Let c(p) be the third derivative of f(p). Factor c(q).
(q + 1)*(2*q - 1)/3
Let d(j) be the second derivative of -j**5/40 - 13*j**4/12 + j - 19. What is a in d(a) = 0?
-26, 0
Let t be (-9)/((-6*(-4)/(-8))/1). Find r such that -585*r**t - 14*r**2 + 580*r**3 + 6*r**2 = 0.
-8/5, 0
Suppose 14*a - 184 = 10*a. Let n be a/14 - (-52)/(-182). Factor 4/11*u**2 - 4/11 + 2/11*u - 2/11*u**n.
-2*(u - 2)*(u - 1)*(u + 1)/11
Let l(q) be the first derivative of 5*q**6/6 - 2*q**5 - 35*q**4/4 + 100*q**3/3 - 30*q**2 - 1357. Find d such that l(d) = 0.
-3, 0, 1, 2
Let r(m) be the second derivative of -m**6/10 - 441*m**5/20 - 5473*m**4/4 - 5037*m**3/2 + 15987*m**2 - 492*m + 2. Determine h, given that r(h) = 0.
-73, -2, 1
Let v(u) = 19*u**2 + 126*u - 594. Let k(m) = 18*m**2 + 172*m - 594. Let n(q) = 10*k(q) - 8*v(q). Find a, given that n(a) = 0.
-27, 11/7
Let z be 3 + (-27)/12 + ((-319)/44)/29. Factor 1/2 - z*l**2 + 4*l - 4*l**3.
-(l - 1)*(l + 1)*(8*l + 1)/2
Let n(c) be the first derivative of -c**4 - 2512*c**3/3 - 197192*c**2 + 486. Factor n(m).
-4*m*(m + 314)**2
Let a(y) be the first derivative of -y**4/2 - 166*y**3/3 - 1763*y**2 - 3362*y - 833. Let a(s) = 0. What is s?
-41, -1
Factor -1/5*u**2 - 4/5*u + 96/5.
-(u - 8)*(u + 12)/5
Let v(a) = 3*a - 15. Let t be v(6). Factor 3*o**t + 84 + 13*o**2 + 56*o**2 + 144 + 240*o.
3*(o + 2)**2*(o + 19)
Let u(d) be the third derivative of d**8/1008 + d**7/280 - d**6/540 + 10*d**3/3 - 21*d**2. Let s(f) be the first derivative of u(f). Solve s(k) = 0.
-2, 0, 1/5
Let i(x) be the second derivative of 2*x**5/35 + 29*x**4/14 - 38*x**3/7 + 23*x**2/7 + 46*x - 25. Factor i(z).
2*(z - 1)*(z + 23)*(4*z - 1)/7
Factor 136/3 - 1/3*i**2 - 22*i.
-(i - 2)*(i + 68)/3
Let y(i) = -11*i**3 - 155*i**2 + 738*i - 900. Let x(q) = 23*q**3 + 315*q**2 - 1479*q + 1800. Let v(a) = 6*x(a) + 13*y(a). Solve v(r) = 0.
-30, 2, 3
Let x = 1325341 + -15904091/12. Factor 19/12 - x*a**2 - 3/2*a.
-(a - 1)*(a + 19)/12
Let z = 1431171 - 1431153. Solve 0 - 1/4*d**5 - 3*d**3 + 5/2*d**4 + 0*d - z*d**2 = 0.
-2, 0, 6
Suppose -2*p + 8*l - 17 = 13*l, -5*p - 5*l - 5 = 0. Factor 90*n**4 + 3*n**2 + p*n - 188*n**4 - n**3 - 2 + 97*n**4 + 0*n - 3*n.
-(n - 1)**2*(n + 1)*(n + 2)
Let 138/7*n + 600/7 - 3/7*n**2 = 0. What is n?
-4, 50
Let o(j) be the third derivative of 0 + 9/70*j**7 + 3/14*j**3 + 0*j + 29/56*j**4 + 47*j**2 + 69/140*j**6 + 149/210*j**5 + 9/784*j**8. Factor o(r).
(r + 3)**2*(3*r + 1)**3/7
Let z be -4 + -7 + 14 + (-707)/3. Let o = z + 234. Factor -4/3*c**2 - 16/3*c + o*c**3 + 16/3.
4*(c - 2)*(c - 1)*(c + 2)/3
Let c(i) be the first derivative of 114 - 1/15*i**3 + 6*i - 29/10*i**2. Factor c(z).
-(z - 1)*(z + 30)/5
Let y be (-28 - (-10 + -3)) + 17. Let f(c) be the second derivative of -7/18*c**3 + 1/36*c**4 + 0 + 33*c + 0*c**y. Let f(s) = 0. What is s?
0, 7
Let b be (-3 - 14/(-10))/(2/(-5)). Suppose b*m - 40 = -0. Factor -12*j**2 + j + 8 + 9*j + m*j.
-4*(j - 2)*(3*j + 1)
Suppose 2*l - q = 2, 4*l = 5*q - 4*q + 2. Let s(f) be the first derivative of 1/10*f**6 + 3 + 0*f**3 + 0*f + l*f**2 + 2/25*f**5 - 1/20*f**4. Factor s(m).
m**3*(m + 1)*(3*m - 1)/5
Let x = 239 - 242. Let r be 2/x*1*12/(-10). Suppose 7/5*u**3 - 2/5*u**4 - 4/5*u - r*u**2 + 0 = 0. Calculate u.
-1/2, 0, 2
Let l = 36/29 + 73/58. Let q(s) be the first derivative of -5/3*s**3 + l*s**2 + 8 + 0*s. Determine c, given that q(c) = 0.
0, 1
Let h(c) = 4*c + 20. Let w be h(-5). Factor w*j - 54*j**3 + 53*j**3 - 3*j**2 + 3*j - 5*j.
-j*(j + 1)*(j + 2)
Let d be 3780/(-1050) - 1032/(-270). Factor -2/3*u - d - 4/9*u**2.
-2*(u + 1)*(2*u + 1)/9
Suppose 59*s - 1169 = 52*s. Let b = -165 + s. Solve -2/3 - 2*g**3 + 2*g + 2/3*g**b = 0 for g.
-1, 1/3, 1
Suppose -300*r = -305*r - 20, 2*r = -n - 6. Suppose 2*b - 405 = -b. Determine q, given that 15*q**n + 6 + 44 - 50*q + b*q = 0.
-5, -2/3
Let d(z) be the first derivative of 3*z**5/10 - 51*z**4/32 + 5*z**3/2 - 3*z**2/4 - 896. Solve d(s) = 0.
0, 1/4, 2
Let c = -463757/80 - -5797. Let w(o) be the second derivative of 1/4*o**2 + 5*o + 0 - c*o**5 + 1/8*o**3 - 1/24*o**4. Factor w(p).
-(p - 1)*(p + 1)*(3*p + 2)/4
Let z(w) = 10*w**2 + 6*w + 11. Let f be z(-2). Factor 4*j**4 - 18*j**3 - 10*j**2 - 24*j - 3*j**4 - f*j**2 - 4*j**4 + 13*j**2.
-3*j*(j + 2)**3
Let b(c) = c**2 - 2*c - 10. Let g(i) = 2*i**2 + 267*i - 10. Let h(s) = -3*b(s) + 3*g(s). Factor h(n).
3*n*(n + 269)
Let l be ((-303)/(-202))/(2/8). Let v(o) be the first derivative of -l*o - 3/2*o**2 + o**3 + 1. Factor v(n).
3*(n - 2)*(n + 1)
Let n(c) be the first derivative of -c**3/27 - 95*c**2/6 + 286*c/9 + 565. Determine f, given that n(f) = 0.
-286, 1
Factor 32258/5 - 113411/5*f - 7/5*f**3 + 356*f**2.
-(f - 127)**2*(7*f - 2)/5
Let k(a) be the third derivative of 0*a**4 + 2/5*a**6 + 9/70*a**7 + 0*a - 1/5*a**5 + 89*a**2 + 0 + 0*a**3. Find c, given that k(c) = 0.
-2, 0, 2/9
Let b = -220674 + 4192808/19. Suppose -2/19*n - b*n**5 + 0 + 0*n**2 + 0*n**4 + 4/19*n**3 = 0. Calculate n.
-1, 0, 1
Let y(q) be the third derivative of -q**6/30 + 4*q**5/5 - 17*q**4/6 - 20*q**3 + 1881*q**2. Solve y(r) = 0 for r.
-1, 3, 10
Let y(h) = 3*h**2 - 1297*h + 340. Let c(n) = 5*n**2 - 1948*n + 509. Let d(l) = -5*c(l) + 7*y(l). Factor d(u).
-(u - 165)*(4*u - 1)
Let f be 21/9 - -5*10/(-150). Suppose 12 = -5*m - 3*s, 4*m - 2*s + f - 10 = 0. Let m + 1/4*t**2 + 1/4*t - 1/4*t**4 - 1/4*t**3 = 0. What is t?
-1, 0, 1
Let p(o) be the first derivative of o**7/210 + o**6/18 - o**5/5 - 7*o**3/3 + 52. Let m(z) be the third derivative of p(z). Factor m(c).
4*c*(c - 1)*(c + 6)
Let u be (-190)/(-50) + 3/15 - (-479)/(-120). Let r(s) be the third derivative of 24*s**2 - 1/150*s**5 - u*s**4 - 1/600*s**6 + 0*s**3 + 0*s + 0. Factor r(n).
-n*(n + 1)**2/5
Let l(t) be the first derivative of -9*t**6/10 - 33*t**5/25 - 3*t**4/10 - 2549. Factor l(z).
-3*z**3*(z + 1)*(9*z + 2)/5
Let h be -7 + (2