 2/5*s**k + 0 + 0*s.
-2*s**2*(s + 2)**2/5
Let l(a) be the first derivative of 64*a - 4/3*a**3 - 38 + 0*a**2. Factor l(i).
-4*(i - 4)*(i + 4)
Suppose -51*l - 162 - 2*l**2 + 0*l**2 + 11*l**2 - 12*l**2 + 4*l**2 = 0. What is l?
-3, 54
Let u = 11258 - 11256. Determine y, given that 0 - 2/3*y**4 + 2/3*y**u + 2/3*y**3 - 2/3*y**5 + 0*y = 0.
-1, 0, 1
Let z(x) be the second derivative of -x**7/42 - 161*x**6/30 - 181*x**5/2 - 1597*x**4/6 + 12467*x**3/6 - 7301*x**2/2 - 1593*x. Solve z(q) = 0.
-149, -7, 1
Suppose 7*r - 281 = 195. Factor r*k + 73*k**2 + 75*k**2 + 420*k**2 + 219*k + 17 + 19 - 16*k**3.
-(k - 36)*(4*k + 1)**2
Factor 39*w**2 + 700*w**3 + 9064*w - w**4 + 7316*w - 4*w**4 - 9684*w**2 - 270*w**3 + 26460.
-5*(w - 42)**2*(w - 3)*(w + 1)
Suppose 3*z = 12*z - 0*z. Suppose 113*l + 4 - 111*l + z - 4*l**2 - 2*l**3 = 0. Calculate l.
-2, -1, 1
Let t(n) be the third derivative of -58*n + n**2 + 1/1470*n**7 - 1/70*n**5 + 0 + 1/210*n**6 - 3/14*n**4 - 9/14*n**3. What is y in t(y) = 0?
-3, -1, 3
Let d = -2 - -5. Factor -d + 6 + 2*a - 2*a**3 + 5 - 4*a**2 - 4.
-2*(a - 1)*(a + 1)*(a + 2)
Factor -2480/3*f + 316/3*f**4 + 1256*f**2 - 32/3 - 1892/3*f**3.
4*(f - 2)**3*(79*f + 1)/3
Solve -135/2*o**2 + 0 - 12*o**4 + 0*o - 219/4*o**3 - 3/4*o**5 = 0.
-9, -5, -2, 0
Let y(g) = -g**4 - g**3 + 13*g**2 + g + 2. Let d(n) = 2*n**4 + 194*n**3 + 1170*n**2 - 1342*n + 4. Let p(z) = -d(z) + 2*y(z). Factor p(a).
-4*a*(a - 1)*(a + 8)*(a + 42)
Let y(j) be the second derivative of j**7/147 - j**6/35 - 41*j**5/70 + j**4/14 + 40*j**3/21 - 45*j - 9. Find s such that y(s) = 0.
-5, -1, 0, 1, 8
Let f be (-25375)/(-42630) + (-3)/7. Factor -17/6*t + 1 - 7/6*t**3 + f*t**4 + 17/6*t**2.
(t - 3)*(t - 2)*(t - 1)**2/6
Let d(f) be the second derivative of f**7/210 - f**6/75 - 3*f**5/25 + 19*f**4/30 - 37*f**3/30 + 6*f**2/5 + 2004*f. Determine m so that d(m) = 0.
-4, 1, 3
Suppose -14134*v**2 - 5285401*v - v**3 + 10839*v**2 + 7893*v**2 = 0. Calculate v.
0, 2299
Let o(s) = -4*s**4 + 156*s**3 - 1104*s**2 - 8*s + 8. Let h(l) = 3*l**4 - 156*l**3 + 1101*l**2 + 7*l - 7. Let b(q) = -8*h(q) - 7*o(q). Factor b(c).
4*c**2*(c - 6)*(c + 45)
What is f in 2/9*f**2 + 56/3 + 88/9*f = 0?
-42, -2
Let d = 135 + -76. Suppose d + 69 = 4*z. Factor -8*a**2 - 16*a - 2*a**3 - 12*a**2 + z + 6*a**2.
-2*(a - 1)*(a + 4)**2
Find q, given that -1/7*q**5 + 50/7*q + 0 + 3/7*q**4 + 23/7*q**3 - 75/7*q**2 = 0.
-5, 0, 1, 2, 5
Let z(x) be the first derivative of x**6/3 + 42*x**5 - 3*x**4 - 1244*x**3/3 + 837*x**2 - 630*x + 8287. Factor z(y).
2*(y - 1)**3*(y + 3)*(y + 105)
Find g, given that 0 - 128/7*g**4 + 4752/7*g**2 + 6534/7*g - 2/7*g**5 - 1908/7*g**3 = 0.
-33, -1, 0, 3
Let m(v) be the second derivative of -v**4/16 - 17*v**3/2 - 201*v**2/8 - 35*v + 3. Factor m(o).
-3*(o + 1)*(o + 67)/4
Suppose 7 = 3*y - 8. Suppose -10*c + 20 = -y*c. Determine l, given that 3*l - l**4 + 3*l**2 - c*l + 5*l**3 - 7*l**3 + 5*l - 4 = 0.
-2, 1
Suppose -5*k = -262 + 242. Solve -2*z - 4*z + 14*z + k*z**2 - 8 - 4 = 0.
-3, 1
Let t(b) = b**2 + 28*b - 674. Let q(x) = 6*x**2 + 128*x - 3369. Let k(d) = -2*q(d) + 11*t(d). Solve k(j) = 0.
26
Let l(q) be the second derivative of -q**5/120 - 71*q**4/12 - 5041*q**3/3 - 715822*q**2/3 + 354*q + 1. Factor l(r).
-(r + 142)**3/6
Let c be ((-61240)/(-19903))/(36/78). Let n = 2041 - 6053/3. Factor -n*t**4 + t**3 - 4/3*t + 0 - 49/3*t**5 + c*t**2.
-t*(t + 1)**2*(7*t - 2)**2/3
Factor -35/6 + 41/3*c - 25/6*c**2 + 1/3*c**3.
(c - 7)*(c - 5)*(2*c - 1)/6
Let h(o) = 65*o - 1115. Let f be h(17). Let r = -2 - -4. Let v(c) = -3*c**5 + 4*c**4 - 5*c**3. Let y(x) = -x**5 - x**3. Let l(u) = f*y(u) + r*v(u). Factor l(b).
4*b**4*(b + 2)
Let -85*g**2 + 4*g**3 + g**3 - 35*g**2 - 355*g + 374*g + 381*g = 0. What is g?
0, 4, 20
Suppose 7*u + 8 = -u. Let m(f) = f**3 - f**2 + 1. Let o(b) = -9*b**4 - 3*b**3 + 14*b**2 - 4*b - 6. Let l(i) = u*o(i) - 6*m(i). Solve l(x) = 0 for x.
-1, 0, 2/3
Let q(o) be the first derivative of -o**5/5 - 3*o**4 - 50*o**3/3 - 42*o**2 - 45*o + 4617. Factor q(d).
-(d + 1)*(d + 3)**2*(d + 5)
Let d be (9/18)/((-32)/(-320))*6. What is c in -d*c - 675 - 1/3*c**2 = 0?
-45
Let z(x) be the second derivative of 0 - 1/6*x**3 - 21/2*x**2 - 2*x - 1/240*x**5 + 1/24*x**4. Let q(m) be the first derivative of z(m). Factor q(w).
-(w - 2)**2/4
Let q(v) = 7*v**2 + v - 1. Let f be q(-2). Suppose -3*c + f = 19. Find h such that 2*h**3 - 6 - 2 + 9*h - 13*h**c + h**2 + 9*h = 0.
1, 4
Let x(q) be the first derivative of -3*q**4 + 52*q**3/3 + 64*q**2 - 48*q + 577. Factor x(w).
-4*(w - 6)*(w + 2)*(3*w - 1)
Let w(y) = -y**3 + 131*y**2 - 387*y + 389. Let d be w(128). Let 0 + 0*a + 0*a**2 - 1/7*a**4 - 2/7*a**3 + 1/7*a**d = 0. What is a?
-1, 0, 2
Let j(i) be the third derivative of -i**7/1050 + 7*i**6/200 + 77*i**5/150 + 9*i**4/5 + 737*i**2 - 2*i. What is u in j(u) = 0?
-4, -2, 0, 27
Let x = 59045 - 59041. Find w, given that 10/3*w - 2/3*w**2 + x = 0.
-1, 6
Let h = -35056 + 35058. Let w(u) be the first derivative of -u**5 - 5*u**h + 5/2*u**4 + 0*u**3 - 33 + 5*u. Solve w(q) = 0 for q.
-1, 1
Factor 0 + 2/5*g**4 - 6/5*g**2 - 8/5*g**3 + 36/5*g.
2*g*(g - 3)**2*(g + 2)/5
Let j(s) = -8*s + 90. Let v be j(11). Solve 34 + 10*o**3 - 15*o**v - 15*o - 14 + 5*o**4 - 5*o = 0.
-2, 1
Suppose 5*x = -2*y + 1, -y + 5*x = -24 + 31. Let n be -3 + (y - 7 - -14). Find p such that 7/4*p + 5/4*p**n + 1/2 = 0.
-1, -2/5
Let u(k) be the third derivative of -k**7/11340 + k**6/1620 + 55*k**4/24 + 2*k**2 + 50*k. Let a(p) be the second derivative of u(p). Factor a(y).
-2*y*(y - 2)/9
Let n(p) = 17*p**2 + 257*p + 229. Let i(a) = 6*a**2 + 86*a + 76. Let d(j) = -11*i(j) + 4*n(j). Let d(v) = 0. What is v?
-40, -1
Let q(v) = v**2 + 7*v - 16. Suppose -23 = 5*h + 22. Let g be q(h). Factor 4 - 14*k - 10*k**2 - g - 7 - 1 - 2*k**3.
-2*(k + 1)**2*(k + 3)
Let u(f) be the second derivative of -7/4*f**4 - 9/20*f**5 + 25*f + 0 - 5/2*f**3 - 3/2*f**2. Suppose u(h) = 0. What is h?
-1, -1/3
Factor 5*w**3 - 95*w**4 + 60*w**3 + 115*w**3 + 12*w**3 - w**5 + 2*w**3.
-w**3*(w - 2)*(w + 97)
Let o(j) be the first derivative of -j**4/14 - 34*j**3/21 - 31*j**2/7 - 30*j/7 + 4817. Factor o(t).
-2*(t + 1)**2*(t + 15)/7
Let v be 1612/(-620)*(4 + -6). Factor 23*l + v - 9/5*l**2.
-(l - 13)*(9*l + 2)/5
Find c such that -179/5*c**4 + 324/5*c**2 + 0 + 1584/5*c**3 + c**5 + 0*c = 0.
-1/5, 0, 18
Factor -1231/4*q**2 + 0 + 0*q + 1/4*q**3.
q**2*(q - 1231)/4
Let v be (-5 - 33/(-9))/((-2)/21). Find u such that 2*u**2 + v*u**2 - 52*u**5 + 48*u**5 - 12*u**4 = 0.
-2, 0, 1
Let u = 2577 - 966. Factor -806 - 25*l**4 + u - 805 + 30*l - 115*l**2 + 110*l**3.
-5*l*(l - 3)*(l - 1)*(5*l - 2)
Let a(l) be the third derivative of l**7 - 359*l**6/60 + 23*l**5/2 - 97*l**4/12 + 2*l**3 + 25*l**2 + l - 12. Suppose a(t) = 0. What is t?
3/35, 1/3, 1, 2
Let j be (-2)/(-6)*355/1988. Let v(r) be the third derivative of 0 + 8/7*r**4 - 32/21*r**3 + j*r**6 + 0*r - 3/7*r**5 + 10*r**2. Factor v(a).
2*(a - 2)*(5*a - 4)**2/7
Determine z so that -1156/3 - 2/3*z**2 - 34*z = 0.
-34, -17
Let g = 47 - 528. Let r = g + 485. Factor 4/5*j**r - 4/5*j**5 + 8/5*j**3 - 8/5*j**2 + 4/5 - 4/5*j.
-4*(j - 1)**3*(j + 1)**2/5
Let d = 93 - 78. Let m be ((-5 + 70/d)*1)/(-1). Factor -2/3 + m*g**2 + 1/3*g.
(g - 1)*(g + 2)/3
Let z = -27/5 - -11/40. Let c = z - -311/56. Find h, given that c*h - 1/7*h**2 - 2/7 = 0.
1, 2
Suppose 2*u - 4*v + 6 - 22 = 0, 3*u = -2*v + 8. Suppose -i + 4 = 6*h - 2*h, -5*h + 14 = -i. Factor 0*o + 44*o**4 - 36*o**3 - 149*o**5 + 4*o + u*o**h + 133*o**5.
-4*o*(o - 1)**3*(4*o + 1)
Let u(g) be the first derivative of -g**6/660 - 2*g**5/165 - g**4/44 + 61*g**2/2 + 140. Let b(c) be the second derivative of u(c). Factor b(d).
-2*d*(d + 1)*(d + 3)/11
Let k(l) be the first derivative of -l**4/22 + 20*l**3/33 + 27*l**2/11 - 72*l/11 - 1178. Solve k(h) = 0.
-3, 1, 12
Suppose 0 = 5*u - 3*b - 10, -3*b = -b. Solve -10 + 8535*o**u + 16*o - o - 8540*o**2 = 0 for o.
1, 2
Suppose 6*p - p - 816 = 4*q, -5*p - 4*q = -784. Solve -126 - 150*k - 3*k**3 - 108*k + p*k - 132*k**2 - 48*k - 109*k = 0.
-42, -1
Solve -412/11*t + 2/11*t**2 - 114 = 0 for t.
-3, 209
Let t(i) = 48*i**3 + 51*i**2 - 109*i - 14. Let d(g) = 239*g**3 + 255*g**2 - 550*g - 76. Let w(x) = 2*d(x) - 11*t(x). Factor w(n).
-(n - 1)*(n + 2)*(50*n + 1)
Let d(j) be the third derivative of -j**3 + 0*j + 0 + 1/180*j**6 + 0*j**4 + 0*j**5 