he second derivative of 0*k**3 + 0 - 1/10*k**5 + 1/5*k**6 + 15*k + 0*k**2 - 1/2*k**4 + 1/21*k**7. Determine c, given that b(c) = 0.
-3, -1, 0, 1
Let a be 20*-1*(-2)/4. Factor -70*g + 5*g**3 - a*g**2 + 70*g.
5*g**2*(g - 2)
Let t be (-1)/(-1) - -1*(-12)/(-3). Solve 365*i**2 + 40 - 24*i**3 + 15*i**4 + 259*i**3 + 210*i - 33*i**5 + 8*i**t = 0 for i.
-1, -2/5, 4
Let g be (-172)/(-32) + 6/(-16). Factor 0*s**3 - 2*s**2 + 2*s + 2 + g*s**3 - 7*s**3.
-2*(s - 1)*(s + 1)**2
Factor -280/3*o - 96 - 64/3*o**2 + 2/3*o**3.
2*(o - 36)*(o + 2)**2/3
Let z be ((-1716)/55)/13*(-10)/6. Let g(d) be the first derivative of d**4 - 4/3*d**3 + z*d - 9 - 2*d**2. Factor g(v).
4*(v - 1)**2*(v + 1)
Factor -3/5 - 8/5*s**2 - 11/5*s.
-(s + 1)*(8*s + 3)/5
Suppose -3*k + 11 = 2*n, 3*n - 3*k = -239 + 248. Let f(i) be the first derivative of 0*i - 4/3*i**3 - 2/3*i**6 + 0*i**2 + i**4 - n + 4/5*i**5. Solve f(z) = 0.
-1, 0, 1
Let c be 2/(-10)*(14 + -24). Let f(g) be the first derivative of -1/2*g**3 + 12 + 1/4*g**4 - 2*g**2 + 1/10*g**5 - c*g. Suppose f(b) = 0. Calculate b.
-2, -1, 2
Let o = 74 + -70. Let p be (-6)/o - (6 - 9). Suppose -3/2*g**4 + 0 + 3/2*g**2 + 3/2*g - p*g**3 = 0. What is g?
-1, 0, 1
Let s(m) = 5*m**3 + 25*m**2 + 247*m + 479. Let u(a) = a**3 - a**2 - 7. Let r(d) = -s(d) + 4*u(d). Find l, given that r(l) = 0.
-13, -3
Let j be (-92)/(-42) - (-22)/231*-9. Factor -j*p - 2/3 - 2/3*p**2.
-2*(p + 1)**2/3
Let z(h) = -6*h - 1. Let c be z(2). Let j = c + 16. Factor 2*m**3 + 4*m - 2*m - 7*m**2 + j*m**2.
2*m*(m - 1)**2
Suppose d**5 + 56*d**3 - 27*d - 870*d**4 - 30*d**3 + 860*d**4 + 18 - 8*d**2 = 0. Calculate d.
-1, 1, 3, 6
Let m(f) be the second derivative of f**4/24 - 5*f**3/3 + 24*f**2 + 34*f. Solve m(h) = 0 for h.
8, 12
Let o be 22/5 - (-3 + 119/35). Suppose o*t + 12 = 0, -2*s + 6*t - 2*t + 18 = 0. Solve 7/4*d**s + d + 0 - 4*d**2 = 0 for d.
0, 2/7, 2
Let n = 8254 - 33013/4. Factor 15/4*f + 0 - 9/2*f**2 + n*f**3.
3*f*(f - 5)*(f - 1)/4
Let b be -3 - 165/(-25) - (-2)/5. Solve 30*m**5 + 2*m**2 - 35*m**5 + 5*m**2 - 5*m**b - 5 + 10*m**3 + 3*m**2 - 5*m = 0.
-1, 1
Let w(h) be the third derivative of 1/8*h**4 - 1/40*h**6 + 1/2*h**3 + 0 + 25*h**2 - 1/20*h**5 + 0*h. Factor w(z).
-3*(z - 1)*(z + 1)**2
Factor -464/7*z**2 + 4/7*z**3 + 0 + 460/7*z.
4*z*(z - 115)*(z - 1)/7
Let z = -356 - -360. Let m(i) be the second derivative of 5*i + 0*i**3 + 1/42*i**z + 1/70*i**5 + 0 + 0*i**2. Find h such that m(h) = 0.
-1, 0
Suppose 5*s - 7*s = -5*g + 43, -2 = -2*s. Let o(b) = b**2 + 9*b + 10. Let f be o(-8). Determine l, given that l**2 - 1 + 36*l**3 - 16*l**4 + 1 - g*l**f = 0.
0, 1/4, 2
Let u = -4 + 7. Suppose 33*f + 2*f - 140 = 0. Factor 3 + 5*j + 1 + f*j**2 + u*j.
4*(j + 1)**2
Let g(o) = -o**4 + o**3 + 2*o + 2. Let q(d) = 3*d**4 + 15*d**3 + 16*d**2 - 4*d - 4. Let k(j) = 2*g(j) + q(j). Solve k(c) = 0.
-16, -1, 0
Factor 0 - 31/5*c**3 - 224/5*c**2 - 1/5*c**4 + 256/5*c.
-c*(c - 1)*(c + 16)**2/5
Let y(v) be the third derivative of v**5/20 + 5*v**4/24 + 2*v**3/3 - 10*v**2. Let r be y(-1). Factor 0*k + 0*k**4 + 0 + 3/4*k**3 + 1/2*k**r - 1/4*k**5.
-k**2*(k - 2)*(k + 1)**2/4
Let -49/5*s - 14/5*s**2 - 1/5*s**3 + 0 = 0. Calculate s.
-7, 0
Factor 4/3*d**2 - 1/6*d**3 + 0 - 8/3*d.
-d*(d - 4)**2/6
Let s(y) be the third derivative of -y**5/15 + 3*y**4/2 + 20*y**3/3 + 28*y**2. Let s(f) = 0. Calculate f.
-1, 10
Let u be ((-2)/(-20))/((-7)/(-17 + -319)). What is f in -18/5*f**3 - 36/5*f**2 + 0 - u*f - 3/5*f**4 = 0?
-2, 0
Let l = 1/761 + 1519/2283. Let a(n) be the second derivative of 5/3*n**3 + 0 - 4*n + 1/10*n**5 + 2*n**2 + l*n**4. Factor a(g).
2*(g + 1)**2*(g + 2)
Let z be ((-6)/21)/(2/(-6)). Let d be (44/(-88))/(0 + 21/(-18)). Find u, given that 0 - d*u**2 - z*u = 0.
-2, 0
Determine a, given that 338*a**3 + 98*a**2 + 216 + 66*a**2 - 372*a - 346*a**3 = 0.
1, 3/2, 18
Let d(w) be the second derivative of -w**9/37800 + w**8/5600 - w**7/3150 - 19*w**4/12 - 13*w. Let p(l) be the third derivative of d(l). Factor p(o).
-2*o**2*(o - 2)*(o - 1)/5
Let w(a) = -1. Let v(q) be the first derivative of 2*q**3/3 - 2*q**2 - 11*q - 5. Let f(n) = -2*v(n) + 10*w(n). Factor f(b).
-4*(b - 3)*(b + 1)
Let u(x) = 3*x**2 - 16*x - 11. Let o(g) = -g**2 + 3*g. Let t(w) = 10*o(w) + 5*u(w). Find f such that t(f) = 0.
-1, 11
Let r(k) be the second derivative of k**4/3 + 26*k**3/3 + 44*k**2 - 12*k - 8. Factor r(c).
4*(c + 2)*(c + 11)
Let g(p) be the first derivative of -3*p**4/28 + p**3/7 + 3*p**2/7 - 162. Factor g(u).
-3*u*(u - 2)*(u + 1)/7
Let g = 1701919/1248880 + -4/15611. Let s = g - -7/16. Factor -6/5 - s*i - 3/5*i**2.
-3*(i + 1)*(i + 2)/5
Let g(h) = 195*h - 1995. Let n(b) = b**2 + 194*b - 1994. Let v(u) = 6*g(u) - 5*n(u). Find i, given that v(i) = 0.
20
Let h = -36 - -38. Let -4*q**3 + 8*q**3 + 0*q**3 + 100*q + 40*q**h = 0. Calculate q.
-5, 0
Let j(n) be the first derivative of -n**4/4 + n**3/3 + 5*n**2/2 + 3*n - 21. Let g be j(3). Factor -4/3*k + 2/3*k**2 + g.
2*k*(k - 2)/3
Suppose -3*z = 3*f - 4*f + 9, -4*z - 5*f = 12. Let i be 4 - (1 - z)/(-4). Solve -2*w**i + w**5 + 5*w**4 - 4*w**4 = 0 for w.
0, 1
Suppose -35*b + 42 = -21*b. Let c(s) be the third derivative of 0*s - 1/40*s**6 - 1/5*s**5 - 4*s**2 + 0 - 5/8*s**4 - s**b. Factor c(g).
-3*(g + 1)**2*(g + 2)
Let y be 96/(-108)*(-3)/24*6. Let b(l) be the first derivative of 1/4*l**4 + 0*l - y*l**3 + 0*l**2 - 1/6*l**6 + 2/5*l**5 + 1. Factor b(z).
-z**2*(z - 2)*(z - 1)*(z + 1)
Let x = -138 + 277/2. Let j(z) be the first derivative of 1/24*z**3 + x*z - 1/4*z**2 - 8. Factor j(b).
(b - 2)**2/8
Let n(o) be the second derivative of 0*o**2 + 0 + 1/36*o**4 - 1/90*o**6 + 1/60*o**5 - 5*o - 1/18*o**3. Factor n(c).
-c*(c - 1)**2*(c + 1)/3
Let n(p) = -2*p**2 - 16*p - 21. Let d = -131 - -125. Let l be n(d). Solve -4/5*j**l - 26/15*j**2 - 8/15 - 2/15*j**4 - 8/5*j = 0 for j.
-2, -1
Let g = -1198/21 + 3608/63. Solve 0 + 0*d - g*d**5 + 0*d**4 + 0*d**2 + 0*d**3 = 0 for d.
0
Let c(y) = -100*y**3 + 595*y**2 - 955*y + 55. Let j(i) = 11*i**3 - 66*i**2 + 106*i - 6. Let o(u) = -6*c(u) - 55*j(u). Solve o(x) = 0 for x.
0, 2, 10
Let l = 1 - -4. Suppose l*x - 4*x = 7. Factor 3*q + x*q - 3 - 12*q**3 - 6*q**2 + 9*q**4 + 2*q.
3*(q - 1)**2*(q + 1)*(3*q - 1)
Let t(l) be the second derivative of -l**5/4 + 65*l**4/6 + 275*l**3/6 + 70*l**2 - 2*l - 827. Factor t(z).
-5*(z - 28)*(z + 1)**2
Suppose 10 = -z + 6*z. Factor 58*q - 2*q**4 - 42*q**z - 29 - 16 + 16*q**3 - 14*q + 29.
-2*(q - 4)*(q - 2)*(q - 1)**2
Let n(o) be the third derivative of o**6/90 - 2*o**4/3 + 7*o**3/6 + o**2. Let d(h) be the first derivative of n(h). Factor d(f).
4*(f - 2)*(f + 2)
Suppose 5*u + 2*q - 6 = 17, q = 4. Solve 2*g - 9*g**2 + 13*g**2 - u*g**2 = 0 for g.
-2, 0
Factor 15/7 - 1/7*m**2 - 2/7*m.
-(m - 3)*(m + 5)/7
Let s(w) be the first derivative of -5*w**3 + 10*w + 15/2*w**2 - 5/2*w**4 - 20. Let s(b) = 0. What is b?
-2, -1/2, 1
Let d(q) be the second derivative of -2/75*q**6 - 8/15*q**3 + 1/3*q**4 + 1/5*q**5 - 2/105*q**7 + 2*q - 8/5*q**2 + 0. Suppose d(l) = 0. What is l?
-2, -1, 1, 2
Let u(f) = -5*f**2 + 4*f - 3. Let c be u(2). Let p = c + 19. Factor 0*g + 4*g**2 + 2*g - 4*g**p - g**2 - g.
-g*(g - 1)*(2*g + 1)**2
Let n = 18335 - 91669/5. Find b, given that -9/5*b + 9/5*b**3 - n + 3/5*b**4 + 3/5*b**2 = 0.
-2, -1, 1
Let a = 151 - 148. Let s(l) be the second derivative of 4*l + 0 - 1/15*l**a + 1/50*l**5 + 1/5*l**2 - 1/30*l**4. Determine j so that s(j) = 0.
-1, 1
Let f(z) be the second derivative of -3*z**5/20 - 45*z**4/4 + 23*z**3 - 2*z + 387. Suppose f(o) = 0. What is o?
-46, 0, 1
Suppose -10940*u**3 - 7003*u**2 - 92956*u**3 - 55770*u**4 - 5808*u + 74 - 6591*u**5 - 23733*u**2 - 362 - 9536*u**2 = 0. Calculate u.
-6, -2, -2/13
Let w = -1603/510 + 54/17. Let b(x) be the third derivative of -2/3*x**3 - w*x**5 - 1/4*x**4 + 0 + 2*x**2 + 0*x. What is t in b(t) = 0?
-2, -1
Let w = 9 + -5. Let s(l) = 13*l - 88. Let c be s(7). Solve -15*g**c + 0*g**w + 11*g**3 - 4*g**4 = 0.
-1, 0
Let w(c) = 4*c**2 + 52*c - 956. Let u(j) = 5*j**2 + 50*j - 955. Let k(i) = 5*u(i) - 6*w(i). What is l in k(l) = 0?
31
Let s(h) be the first derivative of h**3 + 69*h**2 + 135*h - 238. Factor s(y).
3*(y + 1)*(y + 45)
Let k = 101 + -2119/21. Let t(j) be the third derivative of j**2 - 1/28*j**4 + k*j**3 + 0 + 1/420*j**6 + 0*j**5 + 0*j. Factor t(q).
2*(q - 1)**2*(q + 2)/7
Let o be (-61413)/(-1673) 