5*k**3.
-2*k**2*(149*k + 2)**2/5
Let q(y) = -16*y**3 - 200*y**2 + 296*y. Let f(j) = 16*j**3 + 195*j**2 - 295*j. Let l(a) = -4*f(a) - 5*q(a). Suppose l(o) = 0. Calculate o.
-15, 0, 5/4
Factor -335/6*m - 5/6*m**2 - 325/3.
-5*(m + 2)*(m + 65)/6
Let 189/2 - 231/2*c**4 + 465*c**3 + 9/2*c**5 - 507*c**2 + 117/2*c = 0. Calculate c.
-1/3, 1, 3, 21
Let j(a) be the third derivative of 0*a**6 + 0*a**3 + 0 - 45*a**2 + 2/105*a**7 + 0*a + 0*a**4 + 0*a**5. Suppose j(x) = 0. What is x?
0
Let w = -622 - -610. Let v be w/(-30) - 8264/(-140). Factor -72*s**2 - v*s**3 - 128/7*s**4 - 54/7 - 270/7*s.
-2*(s + 1)*(4*s + 3)**3/7
Let -326/13 - 4/13*b**2 - 330/13*b = 0. What is b?
-163/2, -1
Let n = 2/3 + -7/15. Let m be 2/(-9) + -5 + 329/63. Let n*c**3 - 7/5*c**2 + m + 0*c = 0. Calculate c.
0, 7
Let r(b) = 10*b**3 - 18*b**2 - 24*b + 26. Let d(o) = -o**2 + 17*o**3 + 0*o**2 - 12*o**3 - 1 - 4*o**3. Let n(f) = -6*d(f) + r(f). Factor n(u).
4*(u - 4)*(u - 1)*(u + 2)
Let m(w) be the third derivative of -w**7/42 + 79*w**6/8 - 6391*w**5/4 + 2816275*w**4/24 - 2282665*w**3 - w**2 - 3140. Determine b, given that m(b) = 0.
6, 77
Factor -141/2 - 71*t - 1/2*t**2.
-(t + 1)*(t + 141)/2
Suppose w + 50 = -666*l + 671*l, 0 = 5*w + l - 10. Solve -2/7*k**4 + 4/7*k + 0 + w*k**3 + 6/7*k**2 = 0 for k.
-1, 0, 2
Suppose 0 = 2*q + 17 - 51. Suppose q*n - 10 = 15*n. Factor 7*g**5 + n*g**5 - g**4 - 9*g**5 - 2*g**5.
g**4*(g - 1)
Let k(g) be the first derivative of g**6/3 + 44*g**5/5 + 20*g**4 - 4*g**3/3 - 41*g**2 - 40*g + 708. Factor k(a).
2*(a - 1)*(a + 1)**3*(a + 20)
Let i(j) = -6 + 135*j - 126*j**2 + 18 - 64*j**2 - 67. Let c(q) = -7*q**2 + 5*q - 2. Let x(h) = -55*c(h) + 2*i(h). Factor x(k).
5*k*(k - 1)
Let q(f) be the second derivative of f**5/10 - 29*f**4/2 + 805*f**3 - 21689*f**2 + 2132*f. Factor q(u).
2*(u - 41)*(u - 23)**2
Let p = 152854 + -458558/3. Factor -16/3*t + p - 3*t**2.
-(t + 2)*(9*t - 2)/3
Let j(m) = 7*m**4 + 172*m**3 + 1447*m**2. Let g(a) = -a**4 - a**3 - a**2. Let y(c) = 2*g(c) + j(c). Factor y(r).
5*r**2*(r + 17)**2
Let t(s) be the second derivative of -3*s**5/80 + 55*s**4/16 + 113*s**3/8 + 171*s**2/8 - 13*s - 52. Factor t(r).
-3*(r - 57)*(r + 1)**2/4
Let c be 1*5 + (48 - 53). Suppose 12*x**2 - 12*x + c*x**2 - 3604*x**3 + 3601*x**3 = 0. Calculate x.
0, 2
Let p be 0*(-1)/(-2)*-1. Let c be p - ((-12)/30)/((-1)/(-50)). Suppose -n**3 + c - 12 - 2*n**3 + 4 - 9*n**2 = 0. Calculate n.
-2, 1
Let i(n) be the third derivative of -3*n**5/2 - n**4/56 + 3*n**3/7 - 2188*n**2. Solve i(l) = 0 for l.
-6/35, 1/6
Let p(d) = -1170*d - 18*d**2 + 13 - 5*d**2 + 2*d**3 + 1130*d. Let c be p(13). Factor -3/2*h**2 + h**3 + 1/2 + c*h.
(h - 1)**2*(2*h + 1)/2
Let l = -97256/5 - -19452. Let v(u) be the first derivative of -1/15*u**6 + 7/5*u**2 - l*u - 16/15*u**3 + 1/5*u**4 + 28 + 4/25*u**5. Factor v(a).
-2*(a - 1)**4*(a + 2)/5
Let p be (5 - 1) + -7 + 7. Let q(w) be the first derivative of 2/17*w - 2/51*w**3 + 1/17*w**2 - 16 - 1/34*w**p. Factor q(v).
-2*(v - 1)*(v + 1)**2/17
Let c(k) be the first derivative of 39/2*k**2 - 1/3*k**3 - 36*k - 112 + 1/20*k**5 - 9/16*k**4. Factor c(x).
(x - 6)**2*(x - 1)*(x + 4)/4
Suppose 0 = o - 1740 + 1738. Let d(j) be the third derivative of 0 + 0*j - 34*j**o - 1/4*j**3 + 1/10*j**5 - 1/32*j**4 - 1/32*j**6. Find t such that d(t) = 0.
-2/5, 1
Suppose p + 3*w + 12 = 0, -3*w = -5*p + 18 + 12. Suppose 17*k = p*v + 14*k - 3, -k = 1. Factor 2/9*h**4 + v*h**3 + 0 - 2/9*h**2 + 0*h.
2*h**2*(h - 1)*(h + 1)/9
Let f(i) = -23*i**2 - 1230*i. Let g(s) = -13*s**2 - 608*s. Let x(b) = -4*f(b) + 7*g(b). Factor x(w).
w*(w + 664)
Let h(a) be the second derivative of a**5/10 + 4*a**4/3 + 5*a**3 - 1346*a. What is f in h(f) = 0?
-5, -3, 0
Factor o**2 + 312 - 5*o**2 + 751301*o + 5*o**2 - 751338*o.
(o - 24)*(o - 13)
Let w = -447 - -443. Let c(m) = 40*m**2 - 40*m - 50. Let y(d) = 39*d**2 - 40*d - 52. Let l(b) = w*c(b) + 5*y(b). Determine a, given that l(a) = 0.
-6/7, 2
Let q(r) = -r**2 - 44*r + 76. Let m(v) = 2*v - 2. Let x(n) = -16*m(n) - 2*q(n). Factor x(c).
2*(c - 2)*(c + 30)
Let b = -17991 + 17991. Determine z so that b + 1/2*z**2 + 5*z = 0.
-10, 0
Find f such that 18 - 1/4*f**5 - 75/4*f**3 - 25/2*f**2 - 11/2*f**4 + 19*f = 0.
-18, -2, -1, 1
Let i(n) = -n**4 + 3*n**3 + 2*n**2 - 1. Let s(j) = -3*j**4 - 76*j**3 - 1753*j**2 - 2960*j + 4798. Let v(l) = -2*i(l) + s(l). Find t such that v(t) = 0.
-40, -3, 1
Let o(q) be the second derivative of -q**5/4 + 245*q**3/6 - 300*q**2 + 6*q - 9. Suppose o(s) = 0. Calculate s.
-8, 3, 5
Let n(t) be the third derivative of 2*t**7/105 + 412*t**6/5 + 763848*t**5/5 + 157352688*t**4 + 97243961184*t**3 - 12*t**2 - 28*t. Let n(i) = 0. Calculate i.
-618
Suppose -4*q - 1851 = -p, 7*p - 2315 = 5*q + 6*p. Let b = q - -1394/3. Factor 32/3 + 2/3*c**4 - 16*c + 4*c**3 + b*c**2.
2*(c - 1)**2*(c + 4)**2/3
Find x, given that 1/5*x**3 - 178/5 - 176/5*x**2 - 71*x = 0.
-1, 178
Let r be ((4*1)/(-2))/((-58)/14645). Suppose -2*h = -511 + r. Factor -2/9*p**h + 0 + 4/9*p**2 - 2/9*p.
-2*p*(p - 1)**2/9
Let f(y) be the first derivative of -9*y**5/5 + 24*y**4 - 126*y**3 + 324*y**2 - 405*y - 1366. Find b such that f(b) = 0.
5/3, 3
Let q(d) be the first derivative of 8/3*d**3 + 1/6*d**4 - 20 - 9*d**2 + 2*d. Let t(z) be the first derivative of q(z). Let t(k) = 0. What is k?
-9, 1
Let x be (13 - 13/((-10920)/(-10872)))/((-31)/(-30) + -1). Factor 24/7*n**3 + 32/7*n**2 + 0*n**4 - 4/7*n**5 + 0 + x*n.
-4*n*(n - 3)*(n + 1)**3/7
Factor -156*m - 55984*m**2 - 210*m**4 + 20624*m**2 + 1001*m - 5455*m**3.
-5*m*(m + 13)**2*(42*m - 1)
Let x(p) = -238*p - 312. Let c(l) = -2*l**2 - 236*l - 312. Let w(o) = 5*c(o) - 6*x(o). Factor w(r).
-2*(r - 26)*(5*r + 6)
Let h(a) = -364*a**2 + 1766*a + 60. Let k(m) = 6*m - 9. Let c(n) = -2*h(n) - 20*k(n). Solve c(d) = 0 for d.
3/182, 5
Let t(c) be the third derivative of 11*c**2 + c**5 + 16000/3*c**3 + 1/240*c**6 + 100*c**4 - c + 0. Factor t(o).
(o + 40)**3/2
Let r = 12207 + -12202. Let u(j) be the first derivative of 8*j**2 + 16*j - 4*j**3 + 4/5*j**r + 3 - 2*j**4. Factor u(y).
4*(y - 2)**2*(y + 1)**2
Let b = -186 - -190. Suppose -21*z**3 - 1 - 5*z**b - 15*z + 33*z**2 + 8*z**4 + 1 = 0. Calculate z.
0, 1, 5
Let x = 384365/7 - 55273. Let d = 365 + x. Solve -48/7*y**3 - d*y**4 - 87/7*y**2 - 60/7*y - 12/7 = 0 for y.
-2, -1, -1/3
Let y be (-24)/5 + 8/10 + 41. Factor -5*l - 35*l**2 - 20 + y*l**2 - l.
2*(l - 5)*(l + 2)
Factor -3168/5*f - 162/5*f**2 - 15488/5.
-2*(9*f + 88)**2/5
Suppose -21522 = -26*d + 4582. Factor -1008*u - u**2 - 169 + 1986*u - d*u.
-(u + 13)**2
Let l(g) = -3*g**3 + 15*g**2 + 18*g. Let m(u) be the first derivative of 5*u**4 - 35*u**3 - 125*u**2/2 - 202. Let z(r) = 15*l(r) + 2*m(r). Factor z(t).
-5*t*(t - 4)*(t + 1)
Let g = 1103313 + -1103313. Suppose 8/3*p**2 - 4/3*p**4 + 0*p + g + 4/3*p**3 = 0. Calculate p.
-1, 0, 2
Suppose -49*k + 52*k - 33 = 0, 0 = 5*o - 166*k + 1816. Find r such that 2 - 4*r**o + 2*r**4 - 5/3*r + 5/3*r**3 = 0.
-3/2, -1, 2/3, 1
Let k(t) be the first derivative of 3*t**5/40 - t**3/2 - 10315. Factor k(h).
3*h**2*(h - 2)*(h + 2)/8
Let c(h) be the third derivative of h**8/50400 - h**7/12600 - h**5/60 - 5*h**3/3 + 28*h**2. Let a(t) be the third derivative of c(t). Factor a(z).
2*z*(z - 1)/5
Let s = 3728647/8 - 466079. What is b in -3/8*b**2 + s + 3/2*b = 0?
-1, 5
Let -55*n**3 + 30 + 53 + 242*n**2 - 21 - 215*n - 32*n**2 - 2*n**4 = 0. What is n?
-31, 1/2, 1, 2
Let x(p) = 4*p**4 + 120*p**3 + 948*p**2 - 2384*p - 3168. Let j(n) = 4*n**2 + n - 2. Let g(s) = 48*j(s) - x(s). Factor g(v).
-4*(v - 3)*(v + 1)*(v + 16)**2
Let l = -205 + 215. Let r be (3 + 0)*1*5. Determine h so that -r*h + l + 15*h**3 + 3*h**2 - 8*h**2 - h**4 - 4*h**4 = 0.
-1, 1, 2
Let f = 35755/53628 + -1/17876. Solve 2/3*j**2 - 17/6*j + f = 0.
1/4, 4
Suppose 4*f = -2*g + 8*f + 24, -2*g + 19 = -3*f. Let q(u) be the third derivative of 1/4*u**4 + 0*u**3 - 3/20*u**5 + 0 + 7*u**g + 0*u + 1/40*u**6. Factor q(p).
3*p*(p - 2)*(p - 1)
Factor 854722*c - 76*c**4 + 2*c**5 - 1849*c**3 + 40520*c**2 - 131860*c + 129938*c - 18*c**4 - 3*c**5 - 10816000.
-(c - 13)**2*(c + 40)**3
Suppose -58*j - 24*j + 864 = -28*j. Let u(f) be the first derivative of 0*f + 3*f**3 - 3*f**4 + 3/5*f**5 + j + 0*f**2. Factor u(d).
3*d**2*(d - 3)*(d - 1)
Let j(d) be the first derivative of -d**6/1440 - d**5/120 + 7*d**4/32 + d**3 - 17*d**