 0*r**2 + w*r + 0 + 3/2*r**4.
3*r**3*(r - 2)/2
Let k(x) be the third derivative of -2/25*x**6 + 0*x - 10*x**2 + 1/10*x**5 - 16/525*x**7 + 0*x**3 - 1/30*x**4 + 0. Determine v, given that k(v) = 0.
-2, 0, 1/4
Let o be (36/(-12) + (-6)/(-8))/((-39)/52). Suppose -2/7*f**4 - 6/7*f**2 - 6/7*f**o - 2/7*f + 0 = 0. What is f?
-1, 0
Let z(l) be the first derivative of -l**3/15 + 9*l**2/10 - 4*l + 496. Factor z(m).
-(m - 5)*(m - 4)/5
Let y(d) = d**2 + 2*d + 5. Let g be y(-3). Let 15*l**3 + 18*l + 9*l + 9*l**2 + 20 + g*l - 79*l**2 = 0. Calculate l.
-1/3, 1, 4
Let z(w) be the third derivative of -w**8/168 + w**6/15 - w**5/15 - w**4/4 + 2*w**3/3 + 36*w**2. Factor z(j).
-2*(j - 1)**3*(j + 1)*(j + 2)
Let k(u) be the second derivative of -u**7/189 - 2*u**6/45 - 2*u**5/15 - 5*u**4/27 - u**3/9 - 6*u - 16. Determine a so that k(a) = 0.
-3, -1, 0
Let z(c) be the second derivative of -c**7/1050 - c**6/600 + c**5/300 + c**4/120 + 9*c**2 - 12*c. Let w(x) be the first derivative of z(x). Factor w(h).
-h*(h - 1)*(h + 1)**2/5
Let -28/3 + 4/3*z**2 + 8*z = 0. What is z?
-7, 1
Let l be -3 - (1 - 2)*6. Suppose l*f = -2*k - 1, 5*f = -4*k + f + 4. Factor -14*i**3 - 4 - 3*i**4 - i**k - 4*i - 24*i**2 - 12*i - 2*i**3.
-4*(i + 1)**4
Let z(u) be the first derivative of -3*u**4/32 - 2*u**3 + 308. Determine y, given that z(y) = 0.
-16, 0
Factor 2/9*i**3 + 8/3*i + 0 + 16/9*i**2.
2*i*(i + 2)*(i + 6)/9
Let h(x) = 5*x - 5 + x + 10*x**3 - 11*x. Let y(l) = l**4 + 9*l**3 - 6*l - 6. Let f(j) = 6*h(j) - 5*y(j). Suppose f(u) = 0. Calculate u.
0, 3
Let f(s) be the first derivative of -5*s**3/3 + 20*s**2 + 45*s - 73. Factor f(n).
-5*(n - 9)*(n + 1)
Let r be (-1800)/(-850) + (0 - 2/17). Let c(q) be the second derivative of -2*q - 1/10*q**3 + 1/60*q**4 + 0*q**r + 0. Solve c(t) = 0.
0, 3
Suppose 96*w**2 + 300/7 + 820/7*w + 144/7*w**3 = 0. Calculate w.
-3, -5/6
Let v(u) be the first derivative of 2*u**6/3 - 4*u**5 + 8*u**4 - 16*u**3/3 - 230. Solve v(r) = 0 for r.
0, 1, 2
Suppose 3*u = 2*u + 4. Let a be 6/u - (-3)/(-2). Suppose 0*p**2 + a*p + 1/5*p**4 + 0 + 0*p**3 = 0. Calculate p.
0
Factor -792*b - 198*b - 56*b**2 - 45*b**2 + 81675 + 104*b**2.
3*(b - 165)**2
Let l(i) = 1 + 9*i + 7 - 13*i. Let n be l(2). Find w, given that 1/5*w**3 - 2/5*w**2 + 0*w + n = 0.
0, 2
Let q(o) be the first derivative of 34 - 3/10*o**5 + 3/32*o**4 + 0*o + 1/2*o**3 - 3/16*o**2. Solve q(x) = 0 for x.
-1, 0, 1/4, 1
Let j(s) be the first derivative of s**8/336 - 5*s**7/168 + s**6/9 - s**5/6 - 4*s**3/3 - 1. Let n(q) be the third derivative of j(q). Find x such that n(x) = 0.
0, 1, 2
Let x be (6/2)/(4 + -1). Let a = 1 - x. What is w in 0*w - 1/3*w**4 - 1/3*w**2 + a - 2/3*w**3 = 0?
-1, 0
Suppose -i + 25 = 4*i. Suppose -11 + 8 = 3*o + 3*t, 0 = -i*o - t - 1. Factor 2*y**2 + 1/5*y + 33/5*y**3 + o + 8*y**4 + 16/5*y**5.
y*(y + 1)**2*(4*y + 1)**2/5
Let j be -8 + (-862)/(-112) - 9/(-21). Let z(r) be the third derivative of 7*r**2 + 9/20*r**5 + 0 + 7/30*r**6 - 1/3*r**3 - j*r**4 + 0*r. Factor z(n).
(n + 1)*(4*n + 1)*(7*n - 2)
Let h(y) = -3*y**2 - y + 1. Let c(a) = -15*a**2 + 596*a - 29996. Let i(v) = -c(v) + 4*h(v). Determine s, given that i(s) = 0.
100
Let h = -281 + 281. Let v(b) be the third derivative of -7*b**2 - 1/10*b**5 + h*b + 0 + 1/40*b**6 + b**3 - 1/8*b**4. Find t such that v(t) = 0.
-1, 1, 2
Let d be (4/(-9))/((-608)/456). What is g in -1/6*g**2 + 1/6*g + d = 0?
-1, 2
Suppose 5*m - m = 0. Suppose 5*p - 2*v = 9 - 3, m = -p + 5*v - 8. Find b, given that -4*b**2 + 8*b**2 + 0*b**p = 0.
0
Let c(a) be the third derivative of a**7/105 + 17*a**6/10 + 2701*a**5/30 + 425*a**4 + 2500*a**3/3 - 76*a**2. Suppose c(h) = 0. Calculate h.
-50, -1
Let c(z) = z - 1. Let g(f) = 5*f + 6. Let y(i) = 22*c(i) - 2*g(i). Let l be y(3). Factor 3*d**l + 1/3*d**4 - 2*d**3 + 0 + 0*d.
d**2*(d - 3)**2/3
Let b = -3915/2 - -1998. Let y(o) be the second derivative of -b*o**2 - 3/20*o**5 + 0 - 8*o - 9/4*o**4 - 27/2*o**3. Suppose y(v) = 0. What is v?
-3
Let m(k) be the first derivative of -2*k**7/105 + k**6/90 + 2*k**5/15 - k**4/6 - k**3/3 + 41. Let b(a) be the third derivative of m(a). Factor b(h).
-4*(h - 1)*(h + 1)*(4*h - 1)
Let n = -412320/7 - -58926. Factor 2/7*p**2 + n + 36/7*p.
2*(p + 9)**2/7
Let f(s) be the third derivative of 5*s**8/336 - s**6/12 + 5*s**4/24 - 23*s**2 - 1. Factor f(y).
5*y*(y - 1)**2*(y + 1)**2
Let l = -40 - -45. Factor -1 + 8 - 2 + l + 2*g**2 - 12*g.
2*(g - 5)*(g - 1)
Let i(y) = -y**2 + 2 + 2 + y - 2*y - 1. Let m be i(0). Factor m*s**4 + 4*s**4 + 6*s**4 - 12*s**4.
s**4
Let x(y) = -y**3 + 4*y**2 - 22*y + 36. Let n be x(2). Let -4/15*t**4 + 0*t**2 + 2/15*t**5 + n*t + 2/15*t**3 + 0 = 0. What is t?
0, 1
What is s in -s - 20 - 2 - 64*s**2 + 68*s**2 + 8 = 0?
-7/4, 2
Factor -2/11*o**2 + 6/11*o + 0.
-2*o*(o - 3)/11
Let o(r) be the third derivative of 3/40*r**4 + 0 + 7/200*r**6 - 3/25*r**5 + 0*r + 1/5*r**3 - 33*r**2. Find p, given that o(p) = 0.
-2/7, 1
Let l(s) = s**3 - 7*s**2 + 6*s + 2. Let i be l(6). Factor -18*y + 5*y**2 + 5 + 7 + 6*y - 2*y**i.
3*(y - 2)**2
Let c(s) = -16*s**4 - 9*s**3 - 4*s**2 + 4. Let a(k) = -65*k**4 - 35*k**3 - 15*k**2 + 15. Let b(f) = -4*a(f) + 15*c(f). Factor b(v).
5*v**3*(4*v + 1)
Let t = -414 - -787. Factor -180*b**2 - 139*b**3 + t*b**3 + 20*b + 171*b**3.
5*b*(9*b - 2)**2
Suppose 1523*i = 1516*i + 14. Let s(j) = -j**3 + 6*j**2 + 7*j + 3. Let q be s(7). Determine h so that -16/5*h**q + 12/5*h**i - 2/5 + 6/5*h**4 + 0*h = 0.
-1/3, 1
Let m be (-2 - (2 - 3)) + 6. Suppose -16 = -5*p - w, -p + 1 + 7 = m*w. Factor 5*t + p*t**2 + 6*t - 3*t**3 + t - 6*t.
-3*t*(t - 2)*(t + 1)
Suppose -l + 5*u + 620 = 0, 5*u + 1604 + 816 = 4*l. Suppose -l*c**2 - 4 - 598*c**4 - 402*c**4 + 0 - 4 + 1300*c**3 + 116*c = 0. Calculate c.
1/5, 2/5, 1/2
Let m(x) be the third derivative of -x**9/15120 + x**7/180 + x**6/30 - 3*x**5/10 - 29*x**2. Let q(g) be the third derivative of m(g). Factor q(b).
-4*(b - 3)*(b + 1)*(b + 2)
Factor 8 + 29/2*b**2 - 7/4*b**3 - 32*b.
-(b - 4)**2*(7*b - 2)/4
Let u(q) be the first derivative of -6*q**5/55 - 6*q**4/11 + 26*q**3/11 + 12*q**2/11 - 72*q/11 + 260. Find k, given that u(k) = 0.
-6, -1, 1, 2
Suppose u - 8 + 7 = 0. Let t be (-5)/4*(-4)/u. Factor 14*d**2 + 15 - 30*d - t*d**3 + 3*d**3 + 3.
-2*(d - 3)**2*(d - 1)
Let f(q) = -2*q**2 + 13*q - 10. Let v(c) = 2*c**2 - 14*c + 14. Let i(g) = -6*f(g) - 5*v(g). Factor i(p).
2*(p - 5)*(p + 1)
Let p(w) = -21*w**2 - 186*w + 153. Let i(q) = 5*q**2 + 45*q - 38. Let x(j) = 9*i(j) + 2*p(j). Find a such that x(a) = 0.
-12, 1
Suppose 76*z + 3*z + 24*z = 309. Factor -7/2*l + 1/2*l**2 + z.
(l - 6)*(l - 1)/2
Let u(n) be the first derivative of n**6/21 + 4*n**5/35 - 2*n**4/7 - 16*n**3/21 - 652. Let u(h) = 0. What is h?
-2, 0, 2
Let g be 0 - (201/(-385) - 3/(-5)). Let r = 255/308 + g. Find s, given that 0 - r*s**3 - 1/4*s - 1/4*s**4 - 3/4*s**2 = 0.
-1, 0
Suppose -5/6*n**4 - 1/6*n - 11/6*n**3 - 7/6*n**2 + 0 = 0. Calculate n.
-1, -1/5, 0
Let o(d) = -d**2 - 126*d + 247. Let p(h) = -h**2 + 129*h - 248. Let a(f) = -2*o(f) - 3*p(f). Factor a(j).
5*(j - 25)*(j - 2)
Find f such that 0 - 35/3*f - 1/9*f**2 = 0.
-105, 0
Let g be 560/(-160)*(-4)/161. Factor -8/23*b**3 + 4/23*b**2 - 18/23 - g*b**4 + 24/23*b.
-2*(b - 1)**2*(b + 3)**2/23
Factor -1/2*z**3 - 4 - 1/2*z**2 + 5*z.
-(z - 2)*(z - 1)*(z + 4)/2
Let g(i) = 4*i**3 - 18*i**2 - 14*i + 66. Let x(j) = j**2 + j + 3. Let o(t) = -g(t) - 2*x(t). Factor o(q).
-4*(q - 3)**2*(q + 2)
Let b be 9 + -1 + (-918)/(-144) + -14. What is v in 1/8*v - 1/2*v**5 - 5/8*v**2 + 0 + 5/8*v**4 + b*v**3 = 0?
-1, 0, 1/4, 1
Let v(n) be the first derivative of n**4 - 32*n**3 - 54*n**2 + 200*n - 105. Solve v(d) = 0 for d.
-2, 1, 25
Let g(n) be the third derivative of -1/300*n**6 + 12*n**2 - 1/300*n**5 + 1/30*n**3 + 0*n**7 + 0*n + 1/80*n**4 + 1/3360*n**8 + 0. Solve g(z) = 0.
-1, 1, 2
Let w = 2188/6563 + -1/19689. Suppose -w*o**2 - 2 + 7/3*o = 0. What is o?
1, 6
Let g(i) be the first derivative of -i**4/6 + 38*i**3/9 - 35*i**2/3 + 34*i/3 - 37. Factor g(o).
-2*(o - 17)*(o - 1)**2/3
Let a(o) = -o**2 - 5*o + 4. Let g be a(-5). Factor 0 + 4*b**2 + g - 8*b + 0*b**2.
4*(b - 1)**2
Let h(u) be the first derivative of -2*u**5/45 - u**4/3 - 16*u**3/27 - 428. Suppose h(f) = 0. Calculate f.
-4, -2, 0
Let r(g) be the third derivative of -g**5/120 + 9*g**4/16 + 7*g**3/3 - 15*g**2 - 3. Factor r(n).
-