 + 4. Factor j(f).
-2*(f - 2)*(f + 5)**3/7
Let 11*b - 578*b**4 - 20*b**2 + 583*b**4 - 51*b + 10*b**3 = 0. Calculate b.
-2, 0, 2
Suppose 8*n - 3*a + 3*a - 1095 = -5*a, -3*a = 15. Find b, given that n + 5/2*b**3 + 150*b + 45*b**2 = 0.
-14, -2
Let c(v) be the third derivative of v**5/140 - v**4/28 - 57*v**3/2 + 39*v**2 + 35. Suppose c(w) = 0. What is w?
-19, 21
Let c be (6/(-22))/(12/(-22)). Let n(g) be the first derivative of -c*g**3 - 9/2*g + 3 - 3/8*g**4 + 15/4*g**2. Factor n(u).
-3*(u - 1)**2*(u + 3)/2
Let s(g) be the second derivative of -g**5/10 - 25*g**4/2 - 625*g**3 - 15625*g**2 - 4*g - 208. Suppose s(o) = 0. Calculate o.
-25
Suppose -7 = -13*a + 19. Factor 26*w**3 + 0*w**4 - 25*w - 9 + 5*w**4 + 5*w**a - w**3 + 10*w**2 - 11.
5*(w - 1)*(w + 1)**2*(w + 4)
Let s be 9/(-12) - (-23)/4. Solve -5*q**3 + 24*q**2 + 15*q**s - 1115 + 55*q**4 - 119*q**2 + 30*q + 1115 = 0 for q.
-3, -2, 0, 1/3, 1
Let h(q) = 3*q**2 - 18*q - 4. Let j be h(6). Let t be (1/(-2))/(j/1544). Find a, given that 2*a - t + 193 - 5*a**3 - 5*a**2 + 3*a + 5*a**4 = 0.
-1, 0, 1
Let f(j) be the second derivative of j**7/504 - j**6/36 + 133*j**4/12 - 153*j. Let h(q) be the third derivative of f(q). Let h(c) = 0. Calculate c.
0, 4
Let l(v) = -v**3 + 12*v**2 + 13*v + 11. Let t be l(11). Let x = 278 - t. Factor 0 + 0*q + 8/3*q**4 + 2/3*q**5 + 4/3*q**2 + 10/3*q**x.
2*q**2*(q + 1)**2*(q + 2)/3
Let a = -316785 + 950359/3. Determine l, given that -a - 2/9*l**2 + 10/9*l = 0.
2, 3
Factor 6*f**2 - 2/3*f**3 + 950/3 + 110*f.
-2*(f - 19)*(f + 5)**2/3
Let x = -1584 + 1588. Let u(b) be the second derivative of 1/3*b**x - 19*b + 3/5*b**5 + 0 + 0*b**2 + 2/21*b**7 + 2/5*b**6 + 0*b**3. Solve u(l) = 0 for l.
-1, 0
Let n(q) be the third derivative of 22*q**7/525 + 31*q**6/300 + 3*q**5/50 - 2*q**2 + 1509. Determine u so that n(u) = 0.
-1, -9/22, 0
Let s(u) = 45*u**2 + 900*u - 10. Let n(y) = -71*y**2 - 1349*y + 16. Let t(q) = -5*n(q) - 8*s(q). Factor t(l).
-5*l*(l + 91)
Let q(b) be the third derivative of b**7/42 + 9*b**6/8 + 25*b**5/12 - 45*b**4/8 - 65*b**3/3 + 57*b**2 - 9. Factor q(n).
5*(n - 1)*(n + 1)**2*(n + 26)
Suppose 3*i + 9*t - 8*t - 10 = 0, 5*i - 5*t + 10 = 0. Determine u, given that -5*u**4 + 20*u + 50*u**3 + 0*u**4 + 125 + 0*u**4 - 120*u**i - 70*u = 0.
-1, 1, 5
Let j = 81049/33 + -2456. Let i(x) be the first derivative of 0*x - j*x**3 - 5 - 2/11*x**2. Let i(y) = 0. Calculate y.
-4, 0
Let v(i) be the third derivative of 14*i**2 - 1/27*i**4 - 13/540*i**6 + 0 + 2/315*i**7 + 2/45*i**5 + 0*i**3 - 1/1512*i**8 + 2*i. What is a in v(a) = 0?
0, 1, 2
Let p(h) be the second derivative of -1/66*h**4 + 0*h**2 + 47/33*h**3 - h - 81. Solve p(q) = 0.
0, 47
Let j(w) be the first derivative of -5*w**6/6 + 22*w**5 - 170*w**4 + 1840*w**3/3 - 1160*w**2 + 1120*w - 1531. Let j(k) = 0. What is k?
2, 14
Solve 2*i**2 + 2/5*i**4 - 2*i + 2*i**3 - 12/5 = 0.
-3, -2, -1, 1
Let i(y) be the first derivative of y**4/32 - 23*y**3/24 + 10*y**2 - 75*y/2 - 3309. Solve i(z) = 0 for z.
3, 10
Let i(c) = -12*c**2. Let b(n) = 417*n**2 - 1428*n + 1156. Let w(s) = -b(s) + 2*i(s). Suppose w(j) = 0. Calculate j.
34/21
Let n(a) be the first derivative of -3*a**4/4 - 8*a**3 - 30*a**2 - 48*a + 2458. Suppose n(l) = 0. What is l?
-4, -2
Let z be 22/4*40/(-2). Let q = -88 - z. Suppose -q*u + 6*u - 16*u**4 - 32 + 42*u**2 + 4*u**5 - 2*u**2 + 4*u**3 = 0. What is u?
-1, 2
Let d = 3612059/8 - 451507. Determine i so that 3/4*i**2 + 1/8*i**3 + d*i - 5/4 = 0.
-5, -2, 1
Factor -38307 - 3*y**2 - 3040*y - 3811*y - 3086*y + 9259*y.
-3*(y + 113)**2
Let x(a) be the second derivative of a**4/150 + 232*a**3/75 + 2784*a. Let x(l) = 0. Calculate l.
-232, 0
Let x be -12 + ((-14850)/1782 - 494/(-24)). What is s in -x*s**2 + 15/2 + 13/4*s = 0?
-2, 15
Let t(q) be the first derivative of -6/11*q**2 - 14/11*q + 2/33*q**3 - 27. Factor t(p).
2*(p - 7)*(p + 1)/11
Let b(r) be the second derivative of -r**4 - 5*r + 13*r**2 + 33/10*r**5 + 0 + 4/33*r**3. Let v(s) be the first derivative of b(s). What is l in v(l) = 0?
2/33
Let q(s) be the second derivative of s**5/4 + 355*s**4/12 + 995*s**3/3 + 1300*s**2 - 5048*s. Factor q(f).
5*(f + 2)*(f + 4)*(f + 65)
Factor -1/5*b**3 + 1/5*b**2 + 257/5*b + 51.
-(b - 17)*(b + 1)*(b + 15)/5
Let y(z) be the third derivative of 0 - 1/840*z**8 + 0*z + 23*z**2 + 0*z**4 - 1/25*z**6 + 0*z**3 + 0*z**5 - 1/75*z**7. Find u, given that y(u) = 0.
-4, -3, 0
Let z be (-32)/5 - (-2)/5. Let b be (1 + 0)*(30 + z/(-1)). Suppose -1 - 64*v + 1 - 4*v**2 + b*v = 0. Calculate v.
-7, 0
Let p be (2 - 6)*1/(-2) + 611. Suppose p = 4*d + 605. Suppose -3/5*v + 1/5*v**d + 2/5 = 0. What is v?
1, 2
Let f be (3/(-4) - (-420)/1008)*(-16)/12. Factor 0 - 4/9*v**3 + 8/9*v - f*v**2.
-4*v*(v - 1)*(v + 2)/9
Let b be ((-192)/36)/(1 - (-494)/(-491)). Let m = b + -872. Factor -2/3 - 10/9*n + 2*n**3 + m*n**4 + 2/3*n**2.
2*(n + 1)**3*(4*n - 3)/9
Factor -14/3 - 11/3*t**2 - 155/3*t.
-(t + 14)*(11*t + 1)/3
Suppose -5*f + 1786 = 2*v - 589, -5*f - v = -2370. What is q in 4*q**4 - q**4 - 233*q**3 - 181*q**2 - 960*q + 164*q**3 + f*q**2 - 1536 + 212*q**2 = 0?
-1, 8
Let u(g) = 25*g**3 - 5*g**2 + 122*g - 94. Let n(r) = -70*r**3 + 15*r**2 - 359*r + 283. Let o(s) = 6*n(s) + 17*u(s). Let o(i) = 0. What is i?
-5, 2
Suppose 0 = -2*z + 9*z - 1666. Factor 3*x**3 + 988 - 79*x**2 + z*x - 62*x**2 + 740 + 1346*x.
3*(x - 24)**2*(x + 1)
Suppose t - 2*k = -5*k + 11, 3 = k. Suppose 24*n**2 + 48*n**3 - 5*n**4 - 15*n - 33*n**3 + n**t - 20 = 0. Calculate n.
-1, 1, 4
Let v(q) = -q**4 + 16*q**2 - q. Let n(f) = -9*f**5 + 259*f**4 + 893*f**3 + 967*f**2 + 626*f + 124. Let y(b) = 3*n(b) + 30*v(b). Find i, given that y(i) = 0.
-1, -2/3, 31
Let l(a) = -227*a - 9988. Let i be l(-44). Determine p so that i - 6*p - 2/5*p**2 = 0.
-15, 0
Let x(g) be the second derivative of g**6/10 - 99*g**5/20 - 17*g**4/2 + g - 736. Let x(u) = 0. Calculate u.
-1, 0, 34
Let s be ((1/(-3))/((-7)/(-21)))/(3/(-9)). Let p(t) be the first derivative of 1/20*t**4 + 48 - 1/5*t**2 + 0*t + 1/15*t**s. Factor p(c).
c*(c - 1)*(c + 2)/5
Let r(b) = b**2 + 19*b + 2. Let v(i) = 3*i**2 + 222*i + 187. Let j(u) = -10*r(u) + 5*v(u). Suppose j(n) = 0. Calculate n.
-183, -1
Factor 1334/9*u + 664/9*u**2 + 668/9 - 2/9*u**3.
-2*(u - 334)*(u + 1)**2/9
Let w be 9/(-4)*31/3441. Let l = 1021/740 - w. Factor 1 - 1/5*q**3 - 11/5*q + l*q**2.
-(q - 5)*(q - 1)**2/5
Let u = -38 - -40. Factor u*f - 2*f + 21*f**2 - 12 + 0*f - 6*f**3 - 12*f.
-3*(f - 2)**2*(2*f + 1)
Let z(p) be the first derivative of 8*p - 43*p**3 + 16*p**3 - 150 + 2*p**2 + 11*p**3 + 12*p**3. Factor z(c).
-4*(c - 1)*(3*c + 2)
Suppose 3*z = -c - 8 - 1, -2*c = -z - 17. Let m = 15 + -12. Factor -4*r - 5*r - r**m + 2 - c*r**2 - 6.
-(r + 1)**2*(r + 4)
Let t(n) be the second derivative of -n**6/120 + 3*n**5/10 - n**4/3 - 64*n**3 - 512*n**2 - 866*n. Factor t(u).
-(u - 16)**2*(u + 4)**2/4
Let x(g) be the second derivative of g**4/66 + 34*g**3/11 + 2601*g**2/11 - 1065*g. Determine f, given that x(f) = 0.
-51
Let b(x) = x**2 + 208*x + 593. Let r(o) = -5*o**2 - 1455*o - 4155. Let j(v) = 15*b(v) + 2*r(v). Factor j(t).
5*(t + 3)*(t + 39)
Suppose -2*z + 3*q = -67, 0 = 3*z + 3*q - 7*q - 101. Let 1805 + 5*t**4 + 215*t**3 - 3420*t - z*t**3 + 974*t**2 + 456*t**2 = 0. What is t?
-19, 1
Let s(y) be the third derivative of 0*y + 1/3*y**4 + 3 + 5/4*y**3 + 3*y**2 + 1/120*y**5. Factor s(n).
(n + 1)*(n + 15)/2
Let p(w) be the second derivative of -w**5/5 + 26*w**4/3 - 150*w**3 + 1296*w**2 + 2*w - 1880. Solve p(f) = 0.
8, 9
Suppose -26460 - 6552*d + 279*d**3 - 88*d**3 - 267*d**2 - 95*d**3 - 99*d**3 = 0. Calculate d.
-42, -5
Solve 4/3*a**4 - 8/3*a**3 - 60 - 376/3*a - 208/3*a**2 = 0.
-5, -1, 9
Let q = 338171/5 + -67633. Factor -q*k**2 + 2/5*k**4 - 8/5*k + 4/5*k**3 + 8/5.
2*(k - 1)**2*(k + 2)**2/5
Suppose -41*h + 65 = -28*h. Solve -95*i**h - 101*i**5 - 5*i + 191*i**5 + 10*i**3 = 0.
-1, 0, 1
Let m(j) be the first derivative of -j**3/21 + 799*j**2/14 + 800*j/7 - 3529. Factor m(v).
-(v - 800)*(v + 1)/7
Find x such that 14 - 14 - 6 - 15*x - x**2 - 20 + 0*x**2 = 0.
-13, -2
Let m = 124 - 127. Let a(v) = 17*v**2 - 24*v - 20. Let s(f) = 8*f**2 - 11*f - 10. Let l(u) = m*a(u) + 7*s(u). Factor l(q).
5*(q - 2)*(q + 1)
Let x(f) = 2*f**3 + 16*f**2 - f - 3. Let z be x(-8). Suppose 11*d**5 - 26*d**z - 65*d**4 + 20*d**2 - 20*d**3 - 10*d**5 = 0. Calculate