t x be a(6). Let p = -25 - x. Factor p*j + 28*j**4 - 33*j**4 + 4*j**2 + j**2 - 5*j**3.
-5*j*(j - 1)*(j + 1)**2
Suppose 0 = 93*f - 739 - 656. Let p(m) be the second derivative of 0 + 1/24*m**4 + m**2 - 1/3*m**3 - f*m. Find w such that p(w) = 0.
2
Let 15/2 + 29/2*l**2 + 121/4*l + 7/4*l**3 = 0. What is l?
-5, -3, -2/7
Let y(a) be the first derivative of a**6/15 - 58*a**5/25 - 2*a**4/5 + 232*a**3/15 - 1857. Suppose y(k) = 0. Calculate k.
-2, 0, 2, 29
Let l(k) = -k**3 + 2891*k**2 - 5*k - 5. Let g(b) = 4*b**3 - 11545*b**2 + 19*b + 19. Let h(w) = -5*g(w) - 19*l(w). Suppose h(y) = 0. What is y?
0, 2796
Let r = 954/307 + -6711/2456. Factor 15/8*i**3 + r*i**4 - 33/4*i**2 + 6*i + 0.
3*i*(i - 2)*(i - 1)*(i + 8)/8
Let b(q) be the second derivative of q**4/54 + 191*q**3/9 + 572*q**2/9 + 6355*q. Let b(g) = 0. Calculate g.
-572, -1
Let h(t) be the third derivative of -3/10*t**6 + 0*t + 10/3*t**4 - 8/3*t**3 - 7/15*t**5 + 0 - 64*t**2. Solve h(o) = 0 for o.
-2, 2/9, 1
Let i(y) be the first derivative of 0*y**2 + 3/28*y**4 + 1/42*y**6 - 3/35*y**5 + 0*y - 1/21*y**3 - 16. Factor i(t).
t**2*(t - 1)**3/7
Let j(x) be the third derivative of 19/24*x**4 + 1/24*x**6 + 0 + 6*x**2 - x**3 - 2*x - 3/10*x**5. Determine g so that j(g) = 0.
3/5, 1, 2
Let l(m) = -2490*m**2 + 1065*m - 3795. Let n(u) = -181*u**2 + 76*u - 271. Let v(s) = 4*l(s) - 55*n(s). Solve v(j) = 0 for j.
5, 11
Let g = 151261/2 + -75116. Factor -252*j**2 - g + 33*j**3 - 3/2*j**4 + 735*j.
-3*(j - 7)**3*(j - 1)/2
Let o(h) be the first derivative of -96/7*h**2 - 67 - 4/21*h**3 + 28*h. Factor o(x).
-4*(x - 1)*(x + 49)/7
Let f = -908924 - -908927. Let -3/4*m + 3/4*m**f + 3*m**2 - 3 = 0. What is m?
-4, -1, 1
Suppose 43 = -3*p - j - 32, 50 = -2*p + 2*j. Let r = 29 + p. Suppose 10*b**2 - 23*b**r + 13*b**4 - 4*b + 6*b**3 - 2*b**3 = 0. What is b?
-1, 0, 2/5, 1
Let n be 2/(-5)*75/(-105). Let d be 5/(-100)*-5*0/1. Factor -n*s**2 + 2*s**3 - 30/7*s**4 + 0*s + d + 18/7*s**5.
2*s**2*(s - 1)*(3*s - 1)**2/7
Suppose -7*j**3 - 47*j**4 + 65*j**4 + 10*j**5 - 6*j**3 + 4*j - 3*j**2 - 15*j**2 - j**3 = 0. What is j?
-2, -1, 0, 1/5, 1
Let g(d) = -2*d**3 + d**2 + d - 1. Let h(u) = 3*u**3 - 10*u**2 + 14*u - 80. Let w(c) = g(c) + h(c). Let j(m) be the first derivative of w(m). Solve j(l) = 0.
1, 5
Let y be (16/(-10))/((-33)/550). Let v = 27 - y. Factor 2/3*p + 0 - v*p**5 + 1/3*p**4 - 5/3*p**2 + p**3.
-p*(p - 1)**3*(p + 2)/3
Let h(m) = 5*m**2 - 230*m + 971. Let n(i) = 20*i**2 - 920*i + 3875. Let y(p) = -25*h(p) + 6*n(p). Factor y(k).
-5*(k - 41)*(k - 5)
Factor k**3 + 45*k**2 - 421*k**2 + 642*k - 4*k**3 - 92*k**2 + 783*k - 954.
-3*(k - 2)*(k - 1)*(k + 159)
Let w = 18 - 14. Let a = 245882 - 245880. Factor 6/17*q**a + 2/17*q**w + 0 + 2/17*q + 6/17*q**3.
2*q*(q + 1)**3/17
Suppose -5*f + 2*g - 553 = 95, 0 = -4*f + 2*g - 518. Let c be f/364*(-12)/15. Factor 4/7*v**2 - 4/7*v**4 + 0*v**3 + 0 - c*v**5 + 2/7*v.
-2*v*(v - 1)*(v + 1)**3/7
Let x(w) be the third derivative of 0*w**3 + 0 - 13*w**2 - 5/3*w**4 - 11/30*w**6 + 1/105*w**7 + 0*w + 41/30*w**5. Let x(j) = 0. What is j?
0, 1, 20
Let d(k) = 14*k**4 + 21*k**3 - 97*k**2 + 18*k + 23. Let w(z) = z**4 - 10*z**3 - z**2 + 2*z + 1. Let u(g) = -5*d(g) - 5*w(g). Determine c so that u(c) = 0.
-3, -2/5, 2/3, 2
Find r such that 0 - 32/7*r + 12/7*r**2 + 2/7*r**3 = 0.
-8, 0, 2
Factor -24584*q**2 + 8197*q**2 - 2913849 - 3414*q + 8188*q**2 + 8198*q**2.
-(q + 1707)**2
Let c(p) be the third derivative of p**5/20 + 7*p**4 + 255*p**3/2 - 3*p**2 - 345*p. Factor c(z).
3*(z + 5)*(z + 51)
Let j = -13621 - -68111/5. Let u be (42/(-35))/(2/(-5)). Factor 3/5*o**3 + u*o + j + 12/5*o**2.
3*(o + 1)**2*(o + 2)/5
Let s(q) = -20*q**3 - 34571*q**2 - 14965002*q - 14929929. Let g(i) = 5*i**3 + 8643*i**2 + 3741236*i + 3732482. Let z(v) = 9*g(v) + 2*s(v). Factor z(y).
5*(y + 1)*(y + 864)**2
Suppose 0 = -21*m - 7088 - 21850. Let a = m - -8269/6. Factor 1/6*s**4 + 0*s + 0 - 1/3*s**2 - a*s**3.
s**2*(s - 2)*(s + 1)/6
Let t be 6/20*(-5)/((-100)/12)*40/36. What is x in -t*x**3 + 0 - 12/5*x + 7/5*x**2 = 0?
0, 3, 4
Suppose 0 = -3*k + 9 - 3. Find l such that 779*l**k - 390*l**2 - 383*l**2 + 9*l**3 + 3*l**4 = 0.
-2, -1, 0
Let s(m) be the third derivative of 7/80*m**5 + 0 - 1/160*m**6 - 7/8*m**3 + 21*m**2 + 1/32*m**4 + 0*m. Let s(w) = 0. What is w?
-1, 1, 7
Let u be (-4 - -9) + -9 - -334. Let v be -1*8/(-44) - (-160)/u. Find p such that 4/3*p**4 + v*p + 0*p**3 - 4/3*p**2 + 0 - 2/3*p**5 = 0.
-1, 0, 1
Let j = -245 - -254. Factor -x + 253*x**2 - 4*x**3 + j*x - 131*x**2 - 126*x**2.
-4*x*(x - 1)*(x + 2)
Suppose 0 = -11*x + 24*x - 52. What is p in -108 + 104*p**2 - 92*p**2 + x*p**3 - 36*p + 0 = 0?
-3, 3
Suppose 6*m = 31 + 107. Factor -14 + a**2 + 5*a**2 + a**4 + 0 + m*a - 7*a**3 - 9*a**2.
(a - 7)*(a - 1)**2*(a + 2)
Let v be (-3 + -2)/(3/(-87)). Factor 196*q**2 - v - 5*q + 5*q**3 + 281*q**2 + 200*q**2 - 532*q**2.
5*(q - 1)*(q + 1)*(q + 29)
Let f(d) = -4*d**2 + 10*d + 1. Suppose -3*v - 2*n = 23, 3*n + 13 - 21 = 4*v. Let g(i) = -i**2 + i - 1. Let q(c) = v*g(c) + f(c). Find o, given that q(o) = 0.
-3, -2
Let 62181/2*h - 3*h**4 + 83349/2 - 21903/2*h**2 - 741/2*h**3 = 0. What is h?
-63, -1, 7/2
Let z(s) be the second derivative of -s**7/42 + s**6/30 + 7*s**5/20 - s**4/12 - s**3 - 984*s. Determine b so that z(b) = 0.
-2, -1, 0, 1, 3
Let 5*h**2 + 126 + 107 - 314 - 2*h**2 + 78*h = 0. Calculate h.
-27, 1
Let a(f) be the third derivative of -23*f**6/60 - 22*f**5/15 - 19*f**4/12 + 2*f**3/3 - 1457*f**2. Factor a(c).
-2*(c + 1)**2*(23*c - 2)
Let m(l) be the second derivative of 2*l**6/105 + 2*l**5/35 - l**4/7 - 8*l**3/21 + 8*l**2/7 - 8*l + 7. Solve m(n) = 0 for n.
-2, 1
Let l(d) be the second derivative of d**6/180 + 3*d**5/8 + 121*d**4/36 + 26*d**3/3 + 676*d + 3. Solve l(v) = 0.
-39, -4, -2, 0
Let -6/11*f**3 + 2/11*f**4 + 0 - 32/11*f**2 - 24/11*f = 0. What is f?
-2, -1, 0, 6
Let h = -144 + 159. Suppose 0*g + 3*g = -3*x + h, 5*g = 5. Solve b**2 + 0 + b**3 + 1/3*b + 1/3*b**x = 0.
-1, 0
Let n be 4/(1*16/(-24)). Let m(s) = -4*s**2 - 25*s - 4. Let b be m(n). Factor 1/2 - 1/6*l**3 - 7/6*l + 5/6*l**b.
-(l - 3)*(l - 1)**2/6
Let c(l) be the third derivative of -l**7/560 + 9*l**6/160 - 17*l**5/160 - l**2 + 686*l. Factor c(b).
-3*b**2*(b - 17)*(b - 1)/8
Factor -2/7*h**2 + 94/7*h + 28.
-2*(h - 49)*(h + 2)/7
Let x(m) = -m**4 + m**3 + m**2 + 3*m - 1. Let k(w) = -9*w**4 + 163*w**3 - 2867*w**2 - 6859*w + 9593. Let v(p) = 2*k(p) - 14*x(p). Suppose v(g) = 0. What is g?
-3, 1, 40
Let t(h) = 33668*h**2 - 198440*h + 292796. Let i(s) = -6734*s**2 + 39688*s - 58559. Let m(y) = 24*i(y) + 5*t(y). Let m(x) = 0. What is x?
121/41
Let m(d) = d - 27. Let w be m(6). Let j be 2 - (-36)/w - 57/(-21). Factor -12 - 27*i**2 + 18*i**2 + 18*i**2 - 12*i**j + 3*i**4 + 12*i.
3*(i - 2)**2*(i - 1)*(i + 1)
Factor -1049*d - 11*d**2 + 20*d**2 + 25*d + 6*d**2 - 14*d**2 + 262144.
(d - 512)**2
Determine j so that 0*j + 5/2*j**3 - 815*j**2 + 0 = 0.
0, 326
Let a(d) be the second derivative of 9*d**5/100 + d**4 + 18*d**3/5 + 24*d**2/5 - 1012*d. Factor a(c).
3*(c + 2)*(c + 4)*(3*c + 2)/5
Determine p so that -1/7*p**5 + 42*p**2 + 0 - 6/7*p**4 - 49*p + 8*p**3 = 0.
-7, 0, 1, 7
Let g = -22 - -13. Let l(s) = -s**2 - 8*s + 17. Let r be l(g). Let -8*u**4 + 0*u**4 - 14*u**5 + 4*u**2 + 4 + 10*u + 6*u**5 + 6*u**5 - r*u**3 = 0. What is u?
-2, -1, 1
Suppose -63*o - 70*o - 33*o + 498 = 0. Factor -1/2*k + 0 + 1/2*k**o + 1/2*k**4 - 1/2*k**2.
k*(k - 1)*(k + 1)**2/2
Let b(n) be the first derivative of 4*n**3/3 + 150*n**2 + 1656*n - 4277. Solve b(o) = 0.
-69, -6
Let k(a) be the first derivative of -15/28*a**4 + 82 + 22/7*a**3 - 24/7*a**2 + 0*a - 3/35*a**5. Solve k(c) = 0.
-8, 0, 1, 2
Let i be (-1113)/(-210) + 15/(-50). Let j(m) be the third derivative of 17*m**2 + 0 + 0*m - 1/10*m**i - 1/12*m**4 + 2/3*m**3. Determine g, given that j(g) = 0.
-1, 2/3
Let o(i) be the third derivative of -i**7/840 + i**6/60 - i**5/20 - i**4/3 + 8*i**3/3 - 8289*i**2. Solve o(s) = 0.
-2, 2, 4
Factor 130*a**2 + 512701 - 993268 - 66*a**2 - 65*a**2 + 2454*a - 1024962.
-(a - 1227)**2
Let z = 12522 + -200349/16. Let d(s) be the first derivative of 1/2*s**3 - 9/8*s + z*s**4 - 3/40*s**5 - 3/8*s**2 - 5. Suppose d(a) = 0. What is a?
-1, 1, 3
Let f be (-65)/(-52)*14/315*9. Let s(n) be the first derivative of 0*n**2 + 48/35*n**5 + 0*n**3 - 3/7*n**4 + 0*n + 33 - f