**s.
(g + 1)*(11*g - 2)
Let f(l) be the third derivative of -1/5*l**5 - 8*l**2 + 0 - 3/4*l**4 - 1/60*l**6 + 0*l + 0*l**3. Solve f(b) = 0 for b.
-3, 0
Let l(f) = 5*f**2 - 265*f + 1685. Let t(o) = 2*o**2 - 133*o + 842. Let y(x) = -3*l(x) + 5*t(x). Find w, given that y(w) = 0.
13
Factor 2/13*s**3 - 16/13 - 20/13*s - 2/13*s**2.
2*(s - 4)*(s + 1)*(s + 2)/13
Let o(i) = 7*i**2 + 44*i + 48. Let d(v) = -27*v**2 - 174*v - 195. Let g(p) = 4*d(p) + 15*o(p). Factor g(u).
-3*(u + 2)*(u + 10)
Let o(p) = -17*p**4 + 59*p**3 + 59*p**2 - 620*p - 875. Let z(n) = 9*n**4 - 30*n**3 - 30*n**2 + 312*n + 438. Let b(v) = -6*o(v) - 11*z(v). Factor b(g).
3*(g - 6)**2*(g + 2)**2
Factor 2*y + 0 - 13/5*y**2 + y**4 + 1/5*y**5 - 3/5*y**3.
y*(y - 1)**2*(y + 2)*(y + 5)/5
Suppose 0 = 2*g - 0 - 4. Let f(p) = -60*p + 540. Let x be f(9). Factor -1/2*d**4 + d**3 + x*d**g - d + 1/2.
-(d - 1)**3*(d + 1)/2
Let z(a) be the first derivative of -a**2 + 11 + 9*a**2 - 6*a**2 - a**4. Factor z(t).
-4*t*(t - 1)*(t + 1)
Suppose 0 = -8*u + 16 - 0. Determine m, given that -49*m**2 + 24*m**u + 16 + 5*m**2 + 4*m**4 = 0.
-2, -1, 1, 2
Suppose 4 = -0*w + w. Factor 3558*t**2 - 16*t**3 - 3558*t**2 + 140*t**5 + 16*t**w.
4*t**3*(5*t + 2)*(7*t - 2)
Suppose 4*z + z = -4*m + 48, 0 = z + 2*m - 6. Factor -t**3 - t**3 + 12*t**2 - z + 0*t + 6*t**3 - 4*t.
4*(t - 1)*(t + 1)*(t + 3)
Let p(i) = 0 - 1 + 34*i + 11*i**2 + 3 - 21*i. Let k be (1 + (-3 - -1))*5. Let t(r) = 10*r**2 + 12*r + 2. Let b(v) = k*p(v) + 6*t(v). Factor b(a).
(a + 1)*(5*a + 2)
What is l in -7*l**2 - 128*l + 6*l**2 - 512 - 4*l**3 + 57*l**2 = 0?
-2, 8
Suppose 3*t - 12 + 3 = 0, -5*t = -2*x - 11. Suppose -i = -4*q - 24, -2 - 6 = x*q. Factor -8*f - 4*f**2 + 0*f + 4*f - i*f.
-4*f*(f + 3)
Factor 39*j - 50 - 74*j - 6*j**2 + 18*j**2 + 3*j**2 - 110*j.
5*(j - 10)*(3*j + 1)
Let b(v) be the second derivative of -v**5/100 - v**4/30 + v**3/30 + v**2/5 + 2*v + 64. Factor b(l).
-(l - 1)*(l + 1)*(l + 2)/5
Let s(u) be the second derivative of u**5/60 - u**4/24 - u**3/3 + 3*u**2/2 + 6*u. Let m(h) be the first derivative of s(h). Suppose m(r) = 0. What is r?
-1, 2
Let n(j) be the first derivative of 2*j**3/33 - 5*j**2/11 - 216. Determine s so that n(s) = 0.
0, 5
Let j(q) be the first derivative of -4*q**5/9 + q**4/3 + 8*q**3/27 - 93. Factor j(i).
-4*i**2*(i - 1)*(5*i + 2)/9
Let r(g) be the third derivative of -g**8/2352 - 6*g**7/245 - 431*g**6/840 - 141*g**5/35 + 18*g**4/7 + 288*g**3/7 + 3*g**2 + 1. Suppose r(y) = 0. Calculate y.
-12, -1, 1
Let t(x) be the third derivative of x**7/1400 + x**6/60 + 4*x**5/25 + 4*x**4/5 + 5*x**3/2 + 20*x**2. Let q(o) be the first derivative of t(o). Factor q(v).
3*(v + 2)*(v + 4)**2/5
Let a(r) = -r**2 + r. Let g(c) = 8*c**2 - 12*c + 4. Suppose -5*h + 3*t - 27 = 0, 0*t + 1 = -t. Let f(l) = h*a(l) - g(l). Factor f(z).
-2*(z - 2)*(z - 1)
Let k(v) be the first derivative of -4/5*v**5 - 15 + 8*v**2 + 0*v - 3*v**4 + 0*v**3. Factor k(b).
-4*b*(b - 1)*(b + 2)**2
Let z = 8 - 4. Suppose 0*f - 3*f = 5*r + 11, -4*f - 2*r = -4. Factor f*t**z + 0*t**4 - 4*t**3 + 4*t**3.
3*t**4
Let m = 310 - 305. Let h(l) be the third derivative of 0 - 1/135*l**m + 0*l**3 + 5*l**2 + 1/945*l**7 + 0*l**4 + 1/540*l**6 + 0*l. Let h(i) = 0. What is i?
-2, 0, 1
Suppose 4*t = -8*h + 3*h + 17, -12 = -5*t + 3*h. Let -360*q**2 - 5*q**3 - 865 - 4*q**4 + 75*q**t + 800*q - q**4 + 225 = 0. Calculate q.
2, 4
Let z(k) be the third derivative of 0*k**3 - 1/420*k**7 - 7*k**2 + 1/40*k**5 + 0 + 0*k**4 - 1/120*k**6 + 0*k. Factor z(d).
-d**2*(d - 1)*(d + 3)/2
Let l(f) be the first derivative of -f**7/280 + 11*f**6/1080 - f**5/180 + 4*f**3 + 23. Let k(n) be the third derivative of l(n). Factor k(i).
-i*(i - 1)*(9*i - 2)/3
Let j be ((-1)/(-2))/(1124/(-280) - -4). Let a be (63/j + 2/(-10))/(-3). Solve -8/3*r + a*r**2 + 8/3 = 0.
2
Factor -1/2*v + 0 - 1/4*v**2.
-v*(v + 2)/4
Let l(v) be the second derivative of -v**5/110 - 5*v**4/33 + v**3/33 + 10*v**2/11 - 29*v. Let l(w) = 0. Calculate w.
-10, -1, 1
Let k(n) be the third derivative of 0*n**3 + 0*n**4 + 0*n - 13*n**2 - 1/1680*n**7 + 1/240*n**5 - 1/960*n**6 + 0. Factor k(z).
-z**2*(z - 1)*(z + 2)/8
Let b(x) be the second derivative of 3*x**5/20 - x**4 + 3*x**3/2 - 67*x. Find h, given that b(h) = 0.
0, 1, 3
What is p in 305/4*p**3 - 245/2*p**2 + 245/2*p**4 - 80*p + 0 + 15/4*p**5 = 0?
-32, -1, -2/3, 0, 1
Let z(g) be the first derivative of 3*g**4/4 + 2*g**3 - 80. Find k such that z(k) = 0.
-2, 0
Let a(q) be the second derivative of -q**7/336 + 7*q**6/240 - 19*q**5/160 + 25*q**4/96 - q**3/3 + q**2/4 + 85*q. Let a(z) = 0. Calculate z.
1, 2
What is i in 21/5*i**2 - 3/5*i**5 - 9/5*i**4 - 12/5 + 3/5*i**3 + 0*i = 0?
-2, -1, 1
Let t = 16271/5 + -3251. Factor -t*p**2 + 24/5*p - 9/5.
-(4*p - 3)**2/5
Let i(l) be the second derivative of 0*l**4 + 0 - 6*l**2 + 0*l**3 - 1/15*l**5 + 3/20*l**6 - 11*l. Let v(z) be the first derivative of i(z). Factor v(u).
2*u**2*(9*u - 2)
Factor 23 - 17*o + 3*o**3 + 0*o**3 + 13 - 22*o.
3*(o - 3)*(o - 1)*(o + 4)
Let n(f) = f**2 - 6*f + 8. Let i be n(5). Factor -3 - 3 + 3 + i*w**4 + 0*w - 6*w + 6*w**3.
3*(w - 1)*(w + 1)**3
Let c(z) = 3*z**4 + 58*z**3 + 163*z**2 + 106*z + 1. Let q(x) = -2*x**4 - 2*x**3 - 2*x**2 - 1. Let d(f) = -5*c(f) - 5*q(f). Factor d(w).
-5*w*(w + 1)*(w + 2)*(w + 53)
Let l(y) be the second derivative of y**5/30 - 4*y**4/3 + 28*y**3/3 + 784*y**2/3 - 34*y - 1. Determine d so that l(d) = 0.
-4, 14
Suppose -5*k - 76*k = -162. Let z(l) be the third derivative of 0*l + 7*l**k + 1/100*l**5 + 1/30*l**3 + 1/600*l**6 + 0 + 1/40*l**4. Suppose z(p) = 0. What is p?
-1
Let v be 1/((-3)/90*-2). What is a in v*a**4 - 19*a**4 - 4 - 28*a**3 + 28*a**2 + 1 - 5 + 4*a + 8*a**5 = 0?
-2, -1/2, 1
Let u(j) = 536*j + 4824. Let z be u(-9). Factor z + 0*p + 1/4*p**2.
p**2/4
Suppose 24*i + 39 - 52 = 131. Determine p, given that -2*p + 0 - 1/2*p**3 - i*p**4 + 5/2*p**5 + 6*p**2 = 0.
-1, 0, 2/5, 1, 2
Let x be 4/(-9) - 465/(-135). Factor y + y**2 - y**x + 6*y**2 + 9*y**2 - 8*y**2 - 8.
-(y - 8)*(y - 1)*(y + 1)
Suppose 3*h + 12*z - 12 = 17*z, 2*h - 4*z = 8. Let t(y) be the second derivative of 0 - 1/3*y**h + 0*y**3 - 7*y + 2*y**2. Factor t(w).
-4*(w - 1)*(w + 1)
Let o be 8/(14 + -10)*1. Factor 1/4*x**3 - 1/2*x**o + 0*x + 0 + 1/4*x**4.
x**2*(x - 1)*(x + 2)/4
Suppose -186 + 186 = 23*b. Let n(a) be the second derivative of -1/60*a**4 - 2/5*a**2 + b - a + 2/15*a**3. Factor n(f).
-(f - 2)**2/5
Let j(m) = -m**4 - 36*m**3 - 82*m**2 + 33*m + 77. Let u(b) = 36*b**3 + 84*b**2 - 32*b - 76. Let v(i) = 4*j(i) + 3*u(i). Solve v(t) = 0.
-5, -4, -1, 1
Let b(q) be the first derivative of q**4/3 - 5*q**3/6 + q**2/2 + q/6 - 4. Determine r so that b(r) = 0.
-1/8, 1
Let x(j) be the second derivative of -2*j**6/15 - j**5/5 + j**4/3 + 2*j**3/3 - 180*j - 2. What is t in x(t) = 0?
-1, 0, 1
Let o(l) = -2*l**4 + l**3 + 4*l + 7. Let d = -24 - -16. Let k = 3 + d. Let f(b) = b**4 - 2*b - 3. Let w(p) = k*f(p) - 2*o(p). Suppose w(q) = 0. Calculate q.
-1, 1
Factor -r**3 - 3*r**3 + 75*r**2 - 10*r**2 - 68*r + 7*r**2.
-4*r*(r - 17)*(r - 1)
Let f(m) = 28*m**2 + 60*m + 81. Let y(d) = -13*d**2 - 30*d - 41. Let h(i) = -4*f(i) - 9*y(i). Find u, given that h(u) = 0.
-3
Let m(b) be the second derivative of b**4/4 - 5*b**3 + 27*b**2/2 + 50*b. Solve m(p) = 0.
1, 9
Find m such that -3/8*m**3 - 9/2 + 3*m + 15/8*m**2 = 0.
-2, 1, 6
Let x(p) be the third derivative of -p**7/630 - p**6/72 + 23*p**5/60 - 19*p**4/8 + 6*p**3 + 327*p**2. Factor x(d).
-(d - 3)**2*(d - 1)*(d + 12)/3
Factor -99/4*g**2 + 93/4*g - 15/2 + 39/4*g**3 - 3/4*g**4.
-3*(g - 10)*(g - 1)**3/4
Let b(o) = -3*o**4 + 3*o**3 + 11*o**2 + 23*o + 14. Let m(w) = 7*w**4 - 8*w**3 - 21*w**2 - 45*w - 29. Let c(d) = 5*b(d) + 2*m(d). Factor c(t).
-(t - 4)*(t + 1)**2*(t + 3)
Let w(q) = -q**3 - 2*q**2 - q - 1. Let m(o) = -4*o**3 - 13*o**2 + 25*o - 23. Let p(u) = -m(u) + 3*w(u). Factor p(b).
(b - 2)*(b - 1)*(b + 10)
Let z(q) be the second derivative of q**5/270 - q**4/27 + q**3/9 - 9*q**2/2 - 8*q. Let a(p) be the first derivative of z(p). Solve a(b) = 0 for b.
1, 3
Let x(u) be the first derivative of u**8/9240 + u**7/4620 + 10*u**3/3 - 12. Let o(p) be the third derivative of x(p). What is y in o(y) = 0?
-1, 0
Let p(x) be the first derivative of x**6/2 - 16*x**5/5 - x**4/4 + 74*x**3/3 - 12*x**2 - 118. Determine f so that p(f) = 0.
-2, 0, 1/3, 3, 4
