tive of -5*v**9/432 - v**8/168 + 3*v**3 + 11. Let j(k) be the third derivative of i(k). Factor j(s).
-5*s**4*(7*s + 2)
Let p(m) = m**4 + 3*m**2 - 1. Let u(x) = -8*x**4 - 4*x**3 - 18*x**2 + 10*x - 1. Let q(y) = -7*p(y) - u(y). What is z in q(z) = 0?
-4, -2, 1
Let k(c) = 7*c**3 + 53*c**2 - 5*c + 5. Let q(h) = 2*h**3 + h**2 - h + 1. Let i(w) = -k(w) + 5*q(w). What is r in i(r) = 0?
0, 16
Let r(k) = 5*k**2 - 4. Let x be r(3). Suppose -x = -5*f - 1. Find o, given that -4*o**5 - 13 + f*o**2 + 6*o**3 + 5 + 10*o**3 - 12*o = 0.
-1, 1, 2
Let c(n) be the first derivative of 0*n - 3/7*n**2 - 25 - 2/21*n**3. Solve c(u) = 0 for u.
-3, 0
Let j(d) be the first derivative of -d**2 - 12/5*d - 2/15*d**3 - 23. Factor j(c).
-2*(c + 2)*(c + 3)/5
Let j(v) be the second derivative of 1/24*v**4 - 1/3*v**2 + 0 + 5/36*v**3 + 1/180*v**6 - 1/24*v**5 + 11*v. Factor j(u).
(u - 4)*(u - 1)**2*(u + 1)/6
Let f(z) be the third derivative of -z**5/20 + z**3 + 4*z**2. Let d(g) = -g. Let y(a) = 3*d(a) + f(a). Factor y(n).
-3*(n - 1)*(n + 2)
Let a(m) be the second derivative of -6/7*m**2 + 8*m - 1/21*m**4 + 0 - 13/21*m**3. Find y, given that a(y) = 0.
-6, -1/2
Let z(o) be the second derivative of -o**7/56 - 11*o**6/40 - 141*o**5/80 - 97*o**4/16 - 12*o**3 - 27*o**2/2 + 15*o - 2. Solve z(k) = 0 for k.
-3, -2, -1
Let 3 + 6*l + 2*l**3 - 24*l**2 + 35 - 25 - 14*l + 83 = 0. Calculate l.
-2, 2, 12
Let r(w) be the first derivative of -w**4 + 388*w**3/3 - 4982*w**2 + 26508*w + 307. Find h, given that r(h) = 0.
3, 47
Factor 4 + 71*r - 17*r**2 + 508 - 7*r + 19*r**2.
2*(r + 16)**2
Let h = -5543/2 - -2660. Let q = 112 + h. Suppose s**3 + 0 + 1/2*s**4 + 0*s + q*s**2 = 0. What is s?
-1, 0
Let c be (19 - 2353/117)/((-8)/18). Suppose -5*h**2 + c*h + 5/2 = 0. What is h?
-1/2, 1
Factor -16/13*p**2 + 2/13*p**4 + 0*p - 4/13*p**3 + 0.
2*p**2*(p - 4)*(p + 2)/13
Suppose -f**2 - 182*f - 5*f**3 + 184*f + 3*f**4 - 2*f**4 + 3*f**5 = 0. Calculate f.
-1, 0, 2/3, 1
Let s = -615 + 2463/4. Factor -3/4*l**3 + 0*l + 0 - s*l**2.
-3*l**2*(l + 1)/4
Factor 0 - 28/9*l**3 + 4/3*l**2 + 20/9*l**4 - 4/9*l**5 + 0*l.
-4*l**2*(l - 3)*(l - 1)**2/9
Suppose -22*k + 3 = -63. Let z(d) be the second derivative of 1/48*d**4 - 1/120*d**6 - 3*d + 1/24*d**k + 0 - 1/80*d**5 + 0*d**2. Factor z(f).
-f*(f - 1)*(f + 1)**2/4
Suppose -3*y = -5*z - 16, -5*y - 9*z + 11*z = -14. Factor 0*r + 1/5*r**y - 1/5*r**5 - 1/5*r**4 + 1/5*r**3 + 0.
-r**2*(r - 1)*(r + 1)**2/5
Let o(y) be the second derivative of -13*y + 5/8*y**4 + 5/6*y**3 + 0 - 5/8*y**5 + 0*y**2. Factor o(g).
-5*g*(g - 1)*(5*g + 2)/2
Let p = -312736/7 + 44480. Let b = 197 + p. Factor -3*c**2 + 45/7*c + b*c**3 - 27/7.
3*(c - 3)**2*(c - 1)/7
Let d(k) be the first derivative of -1/22*k**4 - 8/33*k**3 + 6 + 0*k - 4/11*k**2. Factor d(h).
-2*h*(h + 2)**2/11
Let p = 92 + -87. Let y(r) be the second derivative of 2*r**2 + 1/30*r**6 - 2/3*r**3 + 4*r + 0 + 1/10*r**p - 1/4*r**4. Factor y(d).
(d - 1)**2*(d + 2)**2
Let d = 9 - 5. Let v = -161 - -186. Factor d*p**5 - 4*p**3 - 53*p**4 + v*p**4 + 28*p**4.
4*p**3*(p - 1)*(p + 1)
Let a(n) be the third derivative of -n**5/4 + 23*n**4/12 - 3*n**3 - 23*n**2 + 1. Let h(m) = m**2 - 2*m. Let s(o) = -a(o) - 5*h(o). Factor s(b).
2*(b - 3)*(5*b - 3)
Let k(d) = d**3 + 5*d**2 - 9*d - 13. Let a be k(-6). Let w be -1*4 - -2 - (-11)/a. Solve 2/5*x - 1/5 - w*x**2 = 0 for x.
1
Let f(p) be the third derivative of -p**7/105 - p**6/30 + p**5/10 + 16*p**2 - 3*p. Factor f(m).
-2*m**2*(m - 1)*(m + 3)
Let z(l) be the first derivative of -l**5/10 + l**4/4 - 17. Let z(g) = 0. Calculate g.
0, 2
Let d(q) be the third derivative of -q**7/70 - 21*q**6/20 - 129*q**5/5 - 779*q**4/4 - 1083*q**3/2 - 2*q**2 + 236*q. Let d(x) = 0. What is x?
-19, -3, -1
Suppose -3*n = 6*h - 2*h - 19, -5*h - 10 = -3*n. Let x be -1*(-3 + n + -4). Find o, given that 2/3*o + 0 + 2/3*o**4 - 2/3*o**x - 2/3*o**3 = 0.
-1, 0, 1
Let v(s) = -s**2 - 6*s + 3. Let c be (-231)/14 - 3/(-6). Let h(y) = 4*y**2 + 30*y - 16. Let o(a) = c*v(a) - 3*h(a). Determine r so that o(r) = 0.
-3/2, 0
Suppose -54*m + 52*m + 32*m**2 - 25*m**2 + 27*m**2 = 0. Calculate m.
0, 1/17
Suppose -4 = -t - 1. Let d = 3548 + -3544. Solve 0*l**d + 1/4 + 3/8*l - 1/4*l**2 + 1/8*l**5 - 1/2*l**t = 0 for l.
-1, 1, 2
Let r(f) be the second derivative of 0 + 1/12*f**3 + 3/80*f**5 - 1/168*f**7 + 9*f + 1/120*f**6 - 5/48*f**4 + 0*f**2. Factor r(t).
-t*(t - 1)**3*(t + 2)/4
Determine l, given that -8/9*l + 1 - 1/9*l**2 = 0.
-9, 1
Let z be (-36 - -39) + (-3)/3*1. Determine n, given that -2/15*n**5 + 0*n**3 + 0*n + 0*n**z - 2/15*n**4 + 0 = 0.
-1, 0
Let u be 43/14 + 2/(-4). Let r be -415 + 409 - (-100)/14. Factor u*y**3 + 12/7*y**2 + r*y**4 + 0 + 2/7*y.
2*y*(y + 1)**2*(4*y + 1)/7
Let l be ((-3 - -1) + 0)*(-2)/12 - -1. Factor 8 - l*k - 4/3*k**2.
-4*(k - 2)*(k + 3)/3
Let v(i) be the second derivative of 108*i**7/35 + 162*i**6/25 + 189*i**5/50 + 19*i**4/20 + i**3/10 - 73*i. Suppose v(d) = 0. What is d?
-1, -1/6, 0
Let x be ((-120)/50)/((-4)/10). Let o(s) be the second derivative of -1/24*s**3 - 1/120*s**x + 1/48*s**4 + 1/80*s**5 - s + 0*s**2 + 0. Factor o(h).
-h*(h - 1)**2*(h + 1)/4
Suppose -38 = -2*d - 34. Suppose -5*p - d*w + 18 = 0, 2*p + 2*w = 2 + 10. Factor -16/5*z - 4/5*z**p + 0.
-4*z*(z + 4)/5
Let q be (21 + -2)/((-5)/(-5)). Suppose q + 11 = 5*x. What is a in -x*a**4 - 6*a**4 - 9 - 87*a**2 - 4 - 48*a - 60*a**3 + 4 = 0?
-3, -1, -1/2
Let f(m) = m**3 + 15*m**2 + 15*m + 4. Let a(z) = z**3 - z**2 - z. Suppose -n + 2*j - 11 = 0, 5*j + 2 = 2*n + 28. Let l(q) = n*a(q) - f(q). Factor l(y).
-4*(y + 1)**3
Let w be (-4)/34 - (-1260)/306. Let b(o) be the third derivative of o**2 - 8/3*o**3 - 7/30*o**7 - 7/5*o**6 + 4*o**w - 22/15*o**5 + 0*o + 0. Factor b(j).
-(j + 2)**2*(7*j - 2)**2
Let d(t) be the second derivative of -t**6/45 - 11*t**5/30 - 4*t**4/3 + 4*t**3 - 86*t. Factor d(x).
-2*x*(x - 1)*(x + 6)**2/3
Let c(b) be the second derivative of 3/40*b**5 - 1/60*b**6 + 5/24*b**4 - 1/84*b**7 - 3*b + 0 + 1/6*b**3 + 0*b**2. Suppose c(o) = 0. Calculate o.
-1, 0, 2
Let o(v) be the third derivative of v**7/105 + v**6/12 + 7*v**5/30 + v**4/4 - v**2 - 65. Let o(d) = 0. What is d?
-3, -1, 0
Let h(j) be the third derivative of 0*j**5 + 1/150*j**6 - j**2 + 0*j - 1/105*j**7 + 0*j**3 + 0 + 0*j**4. Suppose h(s) = 0. What is s?
0, 2/5
Factor -8/7 + 30/7*z**2 + 5/7*z**4 + 23/7*z**3 + 4/7*z.
(z + 1)*(z + 2)**2*(5*z - 2)/7
Factor 1/3*q**4 - 8 + 25/3*q**3 + 23/3*q**2 - 25/3*q.
(q - 1)*(q + 1)**2*(q + 24)/3
Let z = -3132 + 3132. Solve 0 + 1/4*n**3 + z*n - 1/2*n**2 = 0 for n.
0, 2
Let h(o) be the first derivative of 5*o**3/6 + 40*o**2 - 170*o + 661. Solve h(q) = 0.
-34, 2
Let s = -23633/6 + 3939. Let x be (1 + 2)*(-3)/(-27). Find p, given that 5/6*p - 2/3*p**2 + s*p**3 - x = 0.
1, 2
Suppose o = -3*b + 17, o - 5*b = -2*o - 19. Suppose 4*m - 8*m + 12 = 0. Determine y, given that y**o + y**2 - 3*y - m*y + 4 = 0.
1, 2
Factor 11*n + 19*n**2 - 7*n - 23*n**2 + 8.
-4*(n - 2)*(n + 1)
Let a(o) = -3*o**4 - 4*o**3 + 20*o**2 + 13*o + 13. Let i(g) = g**4 + 3*g**3 - 10*g**2 - 6*g - 6. Let z(n) = -6*a(n) - 13*i(n). Factor z(t).
5*t**2*(t - 2)*(t - 1)
Solve 16/11*l + 0 + 18/11*l**5 - 72/11*l**2 - 78/11*l**4 + 116/11*l**3 = 0.
0, 2/3, 1, 2
Let i(v) = 88*v**2 + 972*v + 44. Let m be i(-11). Solve -34/9*b**3 - 32/9*b**5 + 4/9*b**2 + 80/9*b**4 + m*b + 0 = 0.
0, 1/4, 2
Let c(d) be the first derivative of -4/5*d**2 + 4/15*d**3 + 0*d + 3 - 12/25*d**5 + 4/5*d**4. Find i such that c(i) = 0.
-2/3, 0, 1
Let j be (60/105)/(2/(-7)) + (-70)/(-20). Suppose 0*d - 1/2*d**3 - j*d**2 + 2 = 0. What is d?
-2, 1
Let g = -29665 + 29665. Factor -3/4*j**2 + g*j + 0 + 3/4*j**3.
3*j**2*(j - 1)/4
Let i = 22817 - 22815. Factor 0 + 4/9*q + 10/9*q**i - 2/3*q**3.
-2*q*(q - 2)*(3*q + 1)/9
Let j(t) be the second derivative of -2*t**6/105 - 11*t**5/35 + 16*t**4/21 + 88*t**3/21 - 96*t**2/7 - 32*t + 3. Determine b so that j(b) = 0.
-12, -2, 1, 2
Suppose 10*w = 97 - 67. Factor 0*h + 2/11*h**4 + 0*h**2 + 0 + 0*h**w.
2*h**4/11
Let l be (2/(1 + -15))/(50/(-1575)*18). Let r = -13 + 53/4. Factor -l*p**2 - 1/2*p**3 + r*p + 0.
-p*(p + 1)*(2*p - 1)/4
Let w(s) be the second derivative of -3/10*s**6 + 0 + 5*s + 3/2*s**2 - 1/14*s**7 + 3/2*s**3 - 3/10*s**5 + 1/2*s**4. Determine t so that w(t) = 0.
-1, 1
Let y(z) be the second derivative of -z**3/6 + 3*z**2/2 - 4*z. L