2/9*j = 0. What is j?
-4, -1, 30
Let k(f) be the third derivative of f**6/30 - 67*f**5/15 + 156*f**4 + 4320*f**3 + 1190*f**2. Factor k(y).
4*(y - 36)**2*(y + 5)
Let w(x) be the first derivative of 6*x**5/65 - 14*x**4/13 - 36*x**3/13 - 12*x**2/13 + 22*x/13 - 913. Solve w(n) = 0.
-1, 1/3, 11
Let m(k) be the second derivative of k**5/30 + 17*k**4/12 - 38*k**3/3 + 83*k**2/2 + 73*k. Let g(w) be the first derivative of m(w). Factor g(i).
2*(i - 2)*(i + 19)
Let 17392/7*s**2 - 28*s**5 + 9216/7*s + 2560/7*s**3 + 1280/7 - 156*s**4 = 0. What is s?
-5, -4, -2/7, 4
Factor -648/11 - 78/11*n - 2/11*n**2.
-2*(n + 12)*(n + 27)/11
Let o(c) be the first derivative of c**6/36 + 2*c**5/5 + 35*c**4/24 + 4*c**3/3 - 1976. Factor o(s).
s**2*(s + 1)*(s + 3)*(s + 8)/6
Let b(c) = 4*c**2 - 25*c - 11. Let z be b(12). Let -259*p**2 - 18 - z*p**2 + 521*p**2 - 21*p = 0. What is p?
-6, -1
Let l(b) be the third derivative of b**9/90720 - b**8/2520 + b**7/210 + 10*b**5/3 - 170*b**2. Let g(a) be the third derivative of l(a). Factor g(y).
2*y*(y - 6)**2/3
Let k(a) be the third derivative of -a**5/150 - 53*a**4/20 + 32*a**3/3 + 2*a**2 + 2269. Suppose k(g) = 0. What is g?
-160, 1
Let w be 147/(-40) + 7 + -12 + 95/8. Factor w*j - 14/5 - 2/5*j**2.
-2*(j - 7)*(j - 1)/5
Factor 7/2*m**2 - 7/2*m - 1/2*m**3 - 15/2.
-(m - 5)*(m - 3)*(m + 1)/2
Factor 104/3*g + 69/2 + 1/6*g**2.
(g + 1)*(g + 207)/6
Let x = 19979 + -19975. Solve 0*h - 1/3*h**x - 1/3*h**5 + 3*h**2 + 3*h**3 + 0 = 0.
-3, -1, 0, 3
Suppose -217*h + 15 = -222*h. Let n be (h/18)/(-5*32/1080). Factor 0 + n*w**2 + 3/8*w**3 + 3/4*w.
3*w*(w + 1)*(w + 2)/8
Solve 23*w**2 - 131*w**3 + 38*w - 117*w**3 - 592*w**4 - 13*w**2 + 6 - 54*w**3 - 312*w**5 = 0 for w.
-1, -1/2, -3/13, 1/3
Suppose -7*x = -3*z - 2*x + 901, -1236 = -4*z - 2*x. Let -y**3 + 47*y**2 - 70 + z + 292 - 575*y = 0. Calculate y.
1, 23
Let d(z) be the third derivative of z**9/423360 + z**8/35280 - 2*z**5/15 - 2*z**3/3 - 14*z**2 - 4*z. Let m(k) be the third derivative of d(k). Factor m(v).
v**2*(v + 4)/7
Suppose -131*b + 484 - 91 = 0. Factor 8/7*y - 2/7*y**b + 0 - 6/7*y**2.
-2*y*(y - 1)*(y + 4)/7
Let y(z) be the third derivative of z**5/330 - 5*z**4/132 + 2*z**3/11 + 3580*z**2. Suppose y(h) = 0. Calculate h.
2, 3
Factor -4*n**4 - 13*n**2 + 52*n**3 - 28*n**2 - 47*n**2.
-4*n**2*(n - 11)*(n - 2)
Let u(h) be the second derivative of -h**7/252 - 49*h**6/180 - 791*h**5/120 - 4751*h**4/72 - 610*h**3/3 - 276*h**2 + 908*h - 1. Solve u(a) = 0.
-23, -12, -1
Suppose g - m - 12 = -15, -4*m = -12. Let v(y) be the second derivative of 1/84*y**4 - 30*y + g + 1/14*y**2 - 1/21*y**3. Factor v(u).
(u - 1)**2/7
Suppose -6/19*b**4 - 72/19*b + 118/19*b**3 - 176/19*b**2 + 0 = 0. Calculate b.
-1/3, 0, 2, 18
Let f(o) = 4*o**2 + 353*o + 6669. Let u be f(-27). Factor 17/4*z**4 - u*z + 1/4*z**5 + 0 + 45/2*z**3 + 27*z**2.
z*(z - 1)*(z + 6)**3/4
Let m = 3345 - 3342. Let z(f) be the first derivative of 12 + 4/5*f**m + 3/2*f**2 + 3/5*f. Factor z(c).
3*(c + 1)*(4*c + 1)/5
Let l(u) = -u**4 + u**3 + 2*u**2 + u + 2. Let p(j) = -3*j**4 - 8*j**3 + 57*j**2 - 74*j + 48. Let h(f) = -4*l(f) + p(f). Solve h(s) = 0 for s.
1, 2, 4, 5
Let b(r) be the third derivative of r**7/350 - 2*r**6/25 - 101*r**5/100 - 21*r**4/10 - 14*r**2 + 34. Factor b(w).
3*w*(w - 21)*(w + 1)*(w + 4)/5
Let t(s) be the first derivative of s**7/189 + 4*s**6/135 - s**5/18 + 245*s - 112. Let h(k) be the first derivative of t(k). Factor h(o).
2*o**3*(o - 1)*(o + 5)/9
Let d = 467 + -462. Suppose -d*g + 22 = 7. Factor 0 + 0*c + 2/3*c**4 - 2/3*c**g + 0*c**2.
2*c**3*(c - 1)/3
Let z(l) be the second derivative of l**5/40 + 1093*l**4/24 + 24934*l**3 + 74529*l**2 - 1485*l. Determine i so that z(i) = 0.
-546, -1
Let v(q) = -q**2 + 2*q + 26. Let s be v(6). Let -7 + 5*k + 17*k**4 - 13*k**4 - 10*k**3 - 3 + 5*k**5 + 20*k**s - 14*k**4 = 0. Calculate k.
-1, 1, 2
Suppose 3*d - s - 15 = 2*s, -12 = -4*s. Factor -8*c**3 + 3*c**2 - 5*c**2 + d*c + 6*c**2 - 4*c**4.
-4*c*(c - 1)*(c + 1)*(c + 2)
Find a such that -54*a + 339 - 134 + 33*a**2 - 115 - 114 = 0.
-4/11, 2
Suppose -57 = -33*j + 801. Let i(k) be the first derivative of 6/7*k**3 + 0*k**4 - 24/7*k - 2/35*k**5 + j - 4/7*k**2. Determine p so that i(p) = 0.
-3, -1, 2
Let m = -39477 + 39477. Let x(a) be the second derivative of 6/5*a**2 - 43 + m*a**3 - 1/20*a**4 + 2*a. Factor x(c).
-3*(c - 2)*(c + 2)/5
Let s be ((-10700)/(-3852))/((-16)/(-12)). What is c in 0 - 63/4*c**2 - s*c**4 + 49/6*c + 10*c**3 = 0?
0, 7/5, 2
Let j(m) = -35*m**3 + m**2 - m - 1. Let a(p) = -180*p**3 - 865*p**2 - 860*p + 1725. Let n(y) = -a(y) + 5*j(y). Determine x so that n(x) = 0.
-173, -2, 1
Let f = 1018 + -11178/11. Let g(n) be the first derivative of -300/11*n**2 - f*n**3 - 18 - 1/22*n**4 - 2000/11*n. Factor g(p).
-2*(p + 10)**3/11
Let l(v) be the first derivative of v**4/3 - 40*v**3/9 - 328*v**2/3 + 480*v + 6206. Factor l(x).
4*(x - 18)*(x - 2)*(x + 10)/3
Factor 778/9 - 2/9*h**2 - 776/9*h.
-2*(h - 1)*(h + 389)/9
Let x = 159 - 157. Suppose i**2 + 63*i + 24 - 9 + 11*i**x = 0. What is i?
-5, -1/4
Let q(c) = c**2 - c - 1. Let h(o) = o**2 - 8*o - 8. Let d = 13 + -6. Let g be h(d). Let a(m) = 12*m**2 - 3*m. Let t(x) = g*q(x) + a(x). Factor t(k).
-3*(k - 5)*(k + 1)
Let q(x) be the third derivative of -x**7/1260 - x**6/54 - x**5/20 + 34*x**3/3 + x**2 + 2. Let z(r) be the first derivative of q(r). Find h such that z(h) = 0.
-9, -1, 0
Let 0 - 924/5*t + 4/5*t**4 + 1852/5*t**2 - 932/5*t**3 = 0. Calculate t.
0, 1, 231
Let a(q) be the first derivative of -q**7/1470 + q**6/315 + q**5/70 + 16*q**3 + 58. Let s(n) be the third derivative of a(n). Factor s(w).
-4*w*(w - 3)*(w + 1)/7
Let x(q) be the first derivative of -25*q**4/2 + 41990*q**3/3 - 16784*q**2 + 6712*q - 10274. Solve x(i) = 0.
2/5, 839
Let w(j) be the second derivative of j**5/90 + j**4/9 - 7*j**3/27 - 4664*j. Factor w(u).
2*u*(u - 1)*(u + 7)/9
Factor 285*g - 375*g - 32*g**3 - 74*g**2 - 9*g**4 + 2*g**4 + 10*g**3 + 5*g**4 - 36.
-2*(g + 1)**2*(g + 3)*(g + 6)
Let w(k) = -11*k - 140. Let c be w(-16). Find z such that 5*z**2 - 120 + c*z - 15*z + 19*z + 10*z = 0.
-12, 2
Solve 82/9*y**2 - 896 + 2/9*y**3 + 160/3*y = 0 for y.
-24, 7
Determine d, given that 1086/11*d - 1084/11 - 2/11*d**2 = 0.
1, 542
Suppose 230/9*r + 332/3*r**2 - 1078/9*r**3 - 40*r**4 + 200/9*r**5 + 4/3 = 0. Calculate r.
-2, -1/10, 1, 3
Let f(v) be the first derivative of -9*v**3 + 3/4*v**4 + 39*v**2 - 72*v - 73. Factor f(y).
3*(y - 4)*(y - 3)*(y - 2)
Let l(b) be the third derivative of b**8/560 - b**7/25 + 49*b**6/200 + 18*b**5/25 - 27*b**4/2 + 216*b**3/5 - 3*b**2 - 6*b + 2. What is q in l(q) = 0?
-3, 1, 4, 6
Let t = -17690 + 17690. Let z(i) be the first derivative of 3/8*i**3 - 3/32*i**4 - 3/8*i**2 + t*i + 15. Factor z(x).
-3*x*(x - 2)*(x - 1)/8
Let o(s) be the third derivative of -s**5/330 - 46*s**4/11 - 25392*s**3/11 + 420*s**2. Find i such that o(i) = 0.
-276
Let s(q) = -534*q**4 + 225*q**3 - 25*q**2 - 5*q - 10. Let l(a) = 1069*a**4 - 449*a**3 + 50*a**2 + 11*a + 22. Let z(y) = 5*l(y) + 11*s(y). Factor z(h).
-h**2*(23*h - 5)**2
Solve -928/11*l + 2/11*l**2 - 930/11 = 0.
-1, 465
Let j be (15 - (-8449)/(-561)) + 2188/165. Factor 3/5*s**2 + j - 69/5*s.
3*(s - 22)*(s - 1)/5
Let t(j) = 100*j - 35. Let y be t(1). Suppose -y*a + 370 = 9*a. Solve 0 + 0*d + 0*d**3 + 1/3*d**a - d**4 + 4/3*d**2 = 0.
-1, 0, 2
Let h(f) be the third derivative of f**5/12 - 245*f**4/24 - 275*f**3 + 2*f**2 - 335*f - 5. Factor h(z).
5*(z - 55)*(z + 6)
Let 204*z - 3/2*z**2 - 1536 = 0. What is z?
8, 128
Let c(d) be the second derivative of -d**5/30 + 5*d**4/9 + 23*d**3/9 + 4*d**2 - 59*d. Solve c(s) = 0.
-1, 12
Let r = -142 + 142. Suppose -5*k - 19 = -3*g, r = -k - 2. Factor 0 - 4/5*z**g - 2/5*z + 9/5*z**2.
-z*(z - 2)*(4*z - 1)/5
Suppose -52*b + 3*o = -51*b + 10, -6*o + 24 = 0. Let n be (15/2)/(-5)*(-4 - -2). Factor 2/5*d**4 - 4/5 + 2/5*d**b - 6/5*d**n + 6/5*d.
2*(d - 2)*(d - 1)**2*(d + 1)/5
Let j(z) be the third derivative of z**5/96 + 227*z**4/64 + 17*z**3/6 + 2*z**2 + 3694. Find g, given that j(g) = 0.
-136, -1/5
Let n(b) be the second derivative of -49*b**7/3 - 27881*b**6/15 - 35469*b**5/10 - 5049*b**4/2 - 720*b**3 - 7*b + 282. Factor n(z).
-2*z*(z + 80)*(7*z + 3)**3
Let x(o) be the second derivative of 27*o - 212/27*o**3 - 1/27*o**4 + 0 - 5618/9*o**2. Factor x(a).
-4*(a + 53)**