 2331*i. Find q, given that k(q) = 0.
-511
Let h = 969580/545409 - -4/60601. Determine f so that -h*f + 1/9*f**3 - 4/3 - 1/3*f**2 = 0.
-2, -1, 6
Let v(w) be the third derivative of w**7/42 + w**6/12 - 7*w**5/3 + 115*w**4/12 - 35*w**3/2 + 2*w**2 + 186*w. Factor v(j).
5*(j - 3)*(j - 1)**2*(j + 7)
Suppose 2597*a = 2714*a. Find m such that 234/11*m**5 - 238/11*m**3 - 348/11*m**4 + a + 8/11*m - 8/11*m**2 = 0.
-1/3, 0, 2/13, 2
Let r(k) be the second derivative of 5*k**4/12 - 2650*k**3/3 + 702250*k**2 - 3836*k. Suppose r(j) = 0. What is j?
530
Let y(r) be the third derivative of r**6/840 + 313*r**5/105 + 97969*r**4/42 - 1983*r**2. Factor y(m).
m*(m + 626)**2/7
Let y = -36023/75 + 12016/25. Suppose 4/3 + y*k**3 - 7/3*k**2 - 1/3*k**5 + 0*k + k**4 = 0. Calculate k.
-1, 1, 2
Let x(o) = 10*o**5 + o**4 - 33*o**3 - 18*o**2 + 6*o + 11. Let v(b) = -b**5 - b**4 - 2*b**2 - 2*b - 1. Let k(i) = -44*v(i) - 4*x(i). Factor k(g).
4*g*(g + 1)**2*(g + 4)**2
Suppose -454 = 5*n - 469. Suppose -22 = -3*m + 2*x, 2*m + 5 = -n*m - 5*x. Suppose 3 - m*w**2 + 5/2*w - 3/2*w**3 = 0. What is w?
-3, -2/3, 1
Factor 11/4*d**4 + 39/4*d**3 + 3 + 11*d + 1/4*d**5 + 61/4*d**2.
(d + 1)**3*(d + 2)*(d + 6)/4
Factor 88/3*v + 263/9 + 1/9*v**2.
(v + 1)*(v + 263)/9
Let d be (2/(-36))/(((-969)/1292)/(21/2)). Factor 2/9 - d*t + 4/9*t**3 - 5/9*t**2.
(t - 2)*(t + 1)*(4*t - 1)/9
Factor 2/5*u**2 - 98/5*u + 836/5.
2*(u - 38)*(u - 11)/5
Let n(a) be the third derivative of a**6/660 - a**5/11 + 53*a**4/132 + 28*a**3/11 - 323*a**2 + 2*a. Factor n(f).
2*(f - 28)*(f - 3)*(f + 1)/11
Suppose 0 = 2*h - 3*h + 15. Factor h*g + 6*g**2 - 7*g**2 + 6*g**2.
5*g*(g + 3)
Find d, given that -168*d**3 - 3*d**5 - 61*d**2 + 32*d**4 - 90*d + 153*d**3 - 80*d**2 + d**4 = 0.
-1, 0, 3, 10
Let i(d) be the second derivative of d**6/120 - 2*d**5/5 - 43*d**3/2 + 120*d. Let v(t) be the second derivative of i(t). Suppose v(o) = 0. Calculate o.
0, 16
Factor -1/7*j**2 + 76/7*j - 19/7*j**3 + 4/7.
-(j - 2)*(j + 2)*(19*j + 1)/7
Suppose 190 = 5*l + z, 0 = 2*l + 2*l - 4*z - 128. Factor l*s**2 + s**3 - 40*s**2 + s**3 + s.
s*(s - 1)*(2*s - 1)
Find c, given that 62*c**2 + 3*c**5 - 195*c**2 - 120*c**3 - 21*c**4 + 28*c**2 - 27*c**2 = 0.
-2, 0, 11
Let a = 6240 - 6236. Let w(q) be the second derivative of 0*q**3 + 0 + 1/27*q**a + 0*q**2 + 1/90*q**5 + 8*q. Factor w(t).
2*t**2*(t + 2)/9
Let w(l) be the second derivative of 5*l**4/4 - 1421*l**3/2 + 426*l**2 - 6383*l. Factor w(f).
3*(f - 284)*(5*f - 1)
Suppose g + 2*n = -3*n + 12, -100 = -3*g + n. Factor -24 + 5*d**2 - g + 52*d + 0*d**2 - d**2.
4*(d - 1)*(d + 14)
Let g = -27 - -30. Let v be 100/(-75) + 1/g*5. Suppose -a + a**4 - 2/3*a**2 - v + 1/3*a**5 + 2/3*a**3 = 0. What is a?
-1, 1
Let q = 131648 + -1184830/9. Factor -30*z - q*z**3 + 14/3*z**2 + 54.
-2*(z - 9)**2*(z - 3)/9
Let u(a) be the first derivative of -2*a**3/3 + 16*a**2 - 30*a - 5206. Factor u(l).
-2*(l - 15)*(l - 1)
Let n(c) be the third derivative of c**6/200 + 37*c**5/100 - 77*c**4/40 + 39*c**3/10 + c**2 - 926*c. Determine b, given that n(b) = 0.
-39, 1
Suppose -2*j - 40 + 4 = 2*w, 3*j - 2*w + 34 = 0. Let x = j + 16. Factor -q**4 + 33*q + 5*q**3 - 30*q + x*q**2 - 9*q**2.
-q*(q - 3)*(q - 1)**2
Let y be (1/14)/((4 - 9) + 2). Let l = 53/21 + y. Find q such that -l*q - 1/2*q**3 - 1 - 2*q**2 = 0.
-2, -1
Let r = 5022565069/206548260 + 2/3442471. Let p = r + -346/15. Factor -p*k**2 - 1/4*k**3 + 0 - k.
-k*(k + 1)*(k + 4)/4
Let u(p) be the second derivative of p**4/20 - 6*p**3 + 513*p**2/10 + 4486*p. Factor u(q).
3*(q - 57)*(q - 3)/5
Factor -219/4*h**2 - 7872 - 1176*h - 3/4*h**3.
-3*(h + 16)**2*(h + 41)/4
Let q(g) be the first derivative of -12/55*g**5 - 4/11*g - 9/11*g**2 - 179 - 7/11*g**4 - 1/33*g**6 - 32/33*g**3. Factor q(t).
-2*(t + 1)**4*(t + 2)/11
Let g(w) be the third derivative of 0 - 32*w**2 - 1/16*w**4 - 14/3*w**3 - 1/60*w**5 - 1/720*w**6 + 0*w. Let b(p) be the first derivative of g(p). Factor b(j).
-(j + 1)*(j + 3)/2
Let w(z) be the first derivative of -z**4/8 + 72*z**3 + 217*z**2 - 6492. Determine f so that w(f) = 0.
-2, 0, 434
Suppose 10*w = 2*v + 9*w, -5*v = -3*w. Let t(o) be the second derivative of 0*o**4 + 1/19*o**2 - 1/285*o**6 + v - 1/95*o**5 + 8*o + 2/57*o**3. Factor t(z).
-2*(z - 1)*(z + 1)**3/19
Let f(m) be the second derivative of -m**5/4 + 30*m**4 + 1505*m**3/6 + 570*m**2 + 20*m + 6. Factor f(l).
-5*(l - 76)*(l + 1)*(l + 3)
Factor -1369/3 - 74/3*y - 1/3*y**2.
-(y + 37)**2/3
Let u(s) be the first derivative of s**4/4 + 131*s**3/3 - 268*s**2 + 540*s + 4152. Suppose u(d) = 0. What is d?
-135, 2
Let b be 2/8 + (-2 - (-220)/16). Suppose -6*i = -12*i + b. Factor -2*d - 2 + d**3 + d**i + 2.
d*(d - 1)*(d + 2)
Let d(y) = -12*y**2 + 14924*y - 13927964. Let w(m) = 22*m**2 - 29849*m + 27855893. Let q(a) = 7*d(a) + 4*w(a). Suppose q(g) = 0. Calculate g.
1866
Suppose 0 - 1305/4*c + 5/4*c**2 = 0. Calculate c.
0, 261
What is t in 1210/9*t + 2/3*t**2 + 268/3 = 0?
-201, -2/3
Let t(k) be the third derivative of k**7/2240 - k**6/960 + 91*k**3/6 + 110*k**2. Let f(d) be the first derivative of t(d). Determine x, given that f(x) = 0.
0, 1
Let w be 26532/(-264)*2/3. Let b be w/(-402) - (-2)/6. Factor 0*c**2 + 0 + 0*c - b*c**3.
-c**3/2
Let b(c) be the second derivative of -c**6/15 - 73*c**5/10 + 79*c**4/2 + 689*c**3/3 + 380*c**2 - 2*c + 6242. Let b(k) = 0. Calculate k.
-76, -1, 5
Let t be 2/(-4) + (-13)/(-18). Let g be (8964/(-1134) - (-10)/(-105)) + 26/3. Determine h, given that g - t*h**2 + 5/9*h - 1/9*h**3 = 0.
-3, -1, 2
Let u = -159427/2 + 79718. Suppose -u + 3/4*z + 15/4*z**2 = 0. Calculate z.
-6/5, 1
Let k(n) = -2*n**3 - 18*n**2 - 8*n + 28. Suppose 6*v + 635 - 629 = 0. Let l(q) = -q**3 - q**2 + 2. Let s(o) = v*k(o) - 2*l(o). Factor s(c).
4*(c - 1)*(c + 2)*(c + 4)
Suppose 0 = 4*b + b, -4*w + 8 = -2*b. Determine z so that -125*z**2 - 108*z**w + 3*z**5 - 26*z**3 + 90*z**3 + 201*z**2 - 26*z**4 = 0.
0, 2/3, 4
Let f(c) be the first derivative of -121/4*c - 1/12*c**3 - 11/4*c**2 - 40. Factor f(i).
-(i + 11)**2/4
Solve -108*u**4 - 1700*u**2 + 135*u**4 + 318*u**4 + 1137*u**2 - 5440 + 9600*u - 3657*u**2 - 280*u**3 - 5*u**5 = 0 for u.
-4, 1, 2, 68
Suppose 19 = b - 0*r - 3*r, 3*b - 3*r - 45 = 0. Let g be 2 + 3 + 3 + -2. Factor l**3 - 3*l**2 - g*l + 16 + 5*l - b.
(l - 3)*(l - 1)*(l + 1)
Let p(a) be the second derivative of 11*a - 12*a**2 - 2 - 11/4*a**4 + 23*a**3. Let p(f) = 0. What is f?
2/11, 4
Let y(v) = v**3 - 7*v**2 + 7*v - 6. Let n be y(5). Let k be 10/n*(-29)/((-1305)/(-54)). Find b such that -k - 4/7*b**2 - 8/7*b = 0.
-1
Let i(p) be the first derivative of -1/40*p**5 + 56*p**2 + 145 + 13/16*p**4 - 10*p**3 - 128*p. What is v in i(v) = 0?
2, 8
Suppose 16*b = 20*b. Suppose -s - s + 4*n - 10 = b, 0 = -5*s - 3*n + 40. Factor -s*v**2 - 77*v + 77*v + 5.
-5*(v - 1)*(v + 1)
Suppose -30 = 5*y - 5*r, 3*y - 4*y + 12 = 2*r. Let f(v) be the third derivative of 0*v**4 + 22*v**2 + 0*v + y - 1/30*v**5 + 0*v**3. Factor f(n).
-2*n**2
Let j(a) = 2*a**3 - 552*a**2 + 578*a + 4. Let h(y) = 3*y**3 - 552*y**2 + 584*y + 5. Let z(o) = 4*h(o) - 5*j(o). Factor z(c).
2*c*(c - 1)*(c + 277)
Let y(u) = 14*u**3 - u**2 + 3*u - 1. Let p be y(1). Factor 9059 - 10*a**2 - 9059 - p*a**3 - 5*a**4.
-5*a**2*(a + 1)*(a + 2)
Let j(f) = 97*f**2 - 1089*f - 145800. Let r(n) = 11*n**2 - n. Let w(c) = -2*j(c) + 18*r(c). Find i, given that w(i) = 0.
-270
Suppose 23669 = 644*x + 21093. Factor -9*r**3 + 36*r + 6*r**2 + 3/2*r**x - 48.
3*(r - 4)*(r - 2)**2*(r + 2)/2
Let z = 63 - 57. Suppose z*v - 14*v = 12*v. Factor -2*w**4 + 0 + 0*w + 4/3*w**5 + 2/3*w**2 + v*w**3.
2*w**2*(w - 1)**2*(2*w + 1)/3
Let r(n) be the second derivative of -n**4/12 - 1909*n**3/42 + 39*n**2 - 3751*n. Factor r(u).
-(u + 273)*(7*u - 2)/7
Let v(o) = o**2 - 9*o - 4. Let i be v(13). Let d be i*(-5)/(60/(-8)). Factor -3*r**4 - 7*r**4 + 89*r - 80*r**2 - d - 9*r + 40*r**3 + r**5.
(r - 2)**5
Let -6/11 - 56/11*j**3 + 46/11*j**2 + 16/11*j = 0. Calculate j.
-3/7, 1/4, 1
Let v(f) be the first derivative of -2*f**5/25 + 4*f**4/5 - 44*f**3/15 + 24*f**2/5 - 18*f/5 - 1654. What is p in v(p) = 0?
1, 3
Let c be (-6 + 2 - 920/(-180))/((-350)/(-840)). Suppose -1/3*y**5 - 4*y**3 + c*y**4 - 2/3*y**2 - 2 + 13/3*y = 0. What is y?
-1, 1, 6
Let s(k) be the second derivative of 0*k**3 + 9/80*k**5 + 0 + 0*k**2 - 56*k + 0*k**4 - 1/40*k**6. Factor s(q).