+ 3*m**2 - 1/2*m**4 + 0*m + 7/30*m**5 - 8 + 0*m**3 + 1/420*m**7. Find p, given that j(p) = 0.
0, 2, 6
Let d(a) be the first derivative of 17*a**4/26 + 76*a**3/39 + 8*a**2/13 + 1344. Factor d(c).
2*c*(c + 2)*(17*c + 4)/13
Let t be 36 - 31 - (-22 - -1). Solve -5*s**2 + 0*s**2 - t*s + 4*s - 11*s - 7*s = 0.
-8, 0
Suppose -931*w + 4*w**4 + 8*w**3 + 187*w + 244*w + 201*w - 36*w**2 + 227*w = 0. Calculate w.
-3, -2, 0, 3
Let n(l) be the second derivative of 1/3*l**3 + 109*l - 1/54*l**4 - 20/9*l**2 + 0. Find r such that n(r) = 0.
4, 5
Let o be (83 + 16324/(-220))*(-7)/(98/(-180)). Find h such that 484*h + 68/7*h**3 + 2662/7 + 2/7*h**4 + o*h**2 = 0.
-11, -1
Let f(i) be the first derivative of -i**5/10 - 8*i**4 - 239*i**3/3 + 4368*i**2 - 74529*i/2 - 2649. Find n, given that f(n) = 0.
-39, 7
Let q(s) = 119*s**3 + 360*s**2 + 241*s + 4. Let i(d) = -476*d**3 - 1441*d**2 - 964*d - 17. Let w(v) = 2*i(v) + 9*q(v). Factor w(f).
(f + 1)*(f + 2)*(119*f + 1)
Determine v, given that 823/3 + 1/9*v**2 - 2470/9*v = 0.
1, 2469
Let l(s) be the second derivative of 3*s**5/16 - 177*s**4/4 - 71*s**3/2 + 1964*s. Factor l(f).
3*f*(f - 142)*(5*f + 2)/4
Suppose 162798 = 5*o - m - 249741, -m - 577553 = -7*o. Factor 82419*r**3 + 4*r**4 + 25*r - o*r**3 - 188*r**2 - 121*r.
4*r*(r - 24)*(r + 1)**2
Factor -2/3*f**2 + 0 - 182/3*f.
-2*f*(f + 91)/3
Let y(f) = f**3 - 28*f**2 + 24*f + 84. Let g be y(27). Let -46 + 2*u**2 - 238*u - g*u**2 + 285*u = 0. What is u?
1, 46
Let c(x) be the first derivative of x**4/30 - 2*x**3/5 + 9*x**2/5 + 5*x + 10. Let i(o) be the first derivative of c(o). Determine u, given that i(u) = 0.
3
Let r = 525 - 523. Factor 5*k**5 + 2*k + 2*k**3 + 0*k - 4*k**5 - r*k - 3*k**4.
k**3*(k - 2)*(k - 1)
Let x be 1/(2/24)*18254/182540. Determine b, given that -24/5*b + 3/5*b**3 + x*b**2 + 0 = 0.
-4, 0, 2
Let y(k) be the first derivative of -k**6/120 - k**5/20 + k**4/16 + 3*k**3/4 - 59*k - 71. Let z(u) be the first derivative of y(u). Factor z(q).
-q*(q - 2)*(q + 3)**2/4
Let s = 320 + -325. Let r be (-1 - s)/((-150)/(-24) - 5). Factor 1/5*b**2 - 8/5*b + r.
(b - 4)**2/5
Suppose -54 = 3*n - 3*w, -2*n = 3*n + 3*w + 58. Let r(i) = -3*i - 30. Let h be r(n). Factor 3*z**2 - 2*z**2 + 9*z**3 - h*z**3 + 3*z - z**3.
-z*(z - 1)*(4*z + 3)
Let b be 36*((-42)/(-12) - 5 - 1). Let a be 8/b*(-5)/2. Let 0*o + a*o**2 - 2/9 = 0. Calculate o.
-1, 1
Suppose 19 = -15*c + 94. Suppose 3*b - 8 = -6*k + 8*k, 4*k + 12 = c*b. Factor 2/13*a**k + 0 + 2/13*a.
2*a*(a + 1)/13
Factor 16*f**3 + 592/5*f**2 + 384*f + 2304/5 + 4/5*f**4.
4*(f + 4)**2*(f + 6)**2/5
Factor 10*n**3 + 40/3 + 185/6*n**2 + 5/6*n**4 + 35*n.
5*(n + 1)**2*(n + 2)*(n + 8)/6
Let b = 4179 - 4169. Let o(l) be the third derivative of 0*l**3 + 0*l**4 + 0 - 1/40*l**6 - 1/20*l**5 + 1/112*l**8 - b*l**2 + 0*l + 1/70*l**7. Factor o(d).
3*d**2*(d - 1)*(d + 1)**2
Let g(h) be the second derivative of h**4/54 + 266*h**3/27 + 17689*h**2/9 + 144*h + 11. Determine k so that g(k) = 0.
-133
Let w(h) = 5*h**3 - 10*h**2 - 30*h - 15. Let n be (-18)/4 - 28/56. Let g(c) = -c**4 - 5*c**3 + 11*c**2 + 29*c + 14. Let b(l) = n*g(l) - 4*w(l). Factor b(m).
5*(m - 2)*(m + 1)**3
Let s be (12/(-374))/((-816)/(-17952)*(-6)/4). Factor 2/17*p**5 - 4/17*p**4 + 8/17*p + s*p**2 + 0 - 6/17*p**3.
2*p*(p - 2)**2*(p + 1)**2/17
Factor -1/6*k**3 + 9 + 3/2*k - k**2.
-(k - 3)*(k + 3)*(k + 6)/6
Solve -4/5*g**3 + 180 - 180*g**2 + 4/5*g = 0.
-225, -1, 1
Suppose -533*i - 2*i**2 + 0 - 541*i + 1070*i + 0 + 2*i**3 = 0. Calculate i.
-1, 0, 2
Let r(k) be the third derivative of -k**7/280 + k**6/30 - 11*k**3/3 - 55*k**2. Let p(c) be the first derivative of r(c). Factor p(f).
-3*f**2*(f - 4)
Let r(n) be the second derivative of 0*n**5 - 2/15*n**3 + 0 + 0*n**2 - 1/75*n**6 + 42*n + 1/10*n**4. Let r(o) = 0. What is o?
-2, 0, 1
Let d(r) be the third derivative of -9*r**7/7 + 171*r**6/40 + 13*r**5/5 - 15*r**4/2 - 8*r**3 + 150*r**2 + 2. What is k in d(k) = 0?
-1/2, -4/15, 2/3, 2
Factor 1408/3*v**2 + 512/3*v + 776/3*v**3 - 88*v**4 + 0 + 6*v**5.
2*v*(v - 8)**2*(3*v + 2)**2/3
Let s = 4736 - 4736. Let h(r) be the third derivative of -1/60*r**5 + s + 1/48*r**4 + 0*r + 0*r**3 - 5*r**2 + 1/240*r**6. Determine d, given that h(d) = 0.
0, 1
Let i be 198/12 + 990/(-60). Factor -16/3*d + i + 0*d**2 + 4*d**3 + 4/3*d**4.
4*d*(d - 1)*(d + 2)**2/3
Let b(g) be the first derivative of 0*g - 139 + 15/4*g**4 - 17*g**3 + 9*g**2. Find y such that b(y) = 0.
0, 2/5, 3
Solve 2/7*g**3 - 552/7*g + 864/7 + 8*g**2 = 0.
-36, 2, 6
Let d(f) be the first derivative of -173 + 109/3*f**3 + 10*f**2 + 85/4*f**4 - 4*f. Determine z, given that d(z) = 0.
-1, -2/5, 2/17
Let h(j) = 4947*j - 54414. Let n be h(11). Suppose 40/3*q**n + 0*q + 5/3*q**5 + 0 - 20/3*q**2 - 25/3*q**4 = 0. Calculate q.
0, 1, 2
Find m such that -792/5*m - 212/5*m**3 - 762/5*m**2 - 18/5*m**4 + 216/5 = 0.
-6, -3, 2/9
Let p = 5440/19 - 37890/133. Factor 4/7*q**3 - p*q**2 + 4/7 + 2/7*q.
2*(q - 2)*(q - 1)*(2*q + 1)/7
Suppose 45 = -3*s - 3*o, 29*s - 4*o = 28*s + 65. Factor -s + 17/6*i - 7/6*i**2.
-(i - 2)*(7*i - 3)/6
Factor -15*i**3 - 78*i - 1/6*i**4 + 371/6*i**2 + 94/3.
-(i - 2)*(i - 1)**2*(i + 94)/6
Let f(z) = -4*z**2 + 289*z - 2490. Let w be f(10). Determine s, given that w - 4/3*s**2 - 8/3*s = 0.
-2, 0
Let l(t) be the second derivative of t**7/105 + t**6/15 + 7*t**5/50 + t**4/10 - 408*t. Factor l(b).
2*b**2*(b + 1)**2*(b + 3)/5
Let b(f) = -3*f - 28. Let j be b(-11). Suppose -3*p + 3*n = -570, 5*p + j*n - n = 968. Factor -48*h - p - 1/9*h**3 - 4*h**2.
-(h + 12)**3/9
Let q be 323 + -360 - 10316/(-28). Find b such that -27648/7 - 160/7*b**4 - 34560/7*b - q*b**3 - 14400/7*b**2 - 4/7*b**5 = 0.
-12, -2
Let j(o) be the first derivative of -4*o**3/3 - 28*o**2 - 160*o - 833. Let j(n) = 0. What is n?
-10, -4
Suppose -4*n + 2*r + 1306 = 0, n - 5*r = -0*n + 331. Factor 9 + 54 - 11 - 374*c - 108*c**2 + n*c - 8*c**3.
-4*(c + 1)*(c + 13)*(2*c - 1)
Let q(h) = 2*h**2 + 3*h + 4. Let a(y) = -15*y**2 + 1527*y - 599104. Let c(s) = 2*a(s) + 14*q(s). Factor c(x).
-2*(x - 774)**2
Suppose 0 = -172*l + 174*l - 32. Suppose -3*y = -7*y - o + 87, 4*o = 4*y - 112. Let y*t - l*t - 12*t + t**3 - 3 - t**2 = 0. What is t?
-1, 3
Let z(f) be the first derivative of -1/39*f**3 + 51 - 1/78*f**4 - 25*f**2 - 1/390*f**5 + 0*f. Let i(v) be the second derivative of z(v). Factor i(t).
-2*(t + 1)**2/13
Find w such that 85 - 178*w**2 + 0*w**4 + 30*w**3 + 20*w**3 - 44*w + 258*w - 2*w**4 - 169 = 0.
1, 2, 21
Let c(z) be the first derivative of z**4 + 264*z**3 - 1206*z**2 + 3828. Factor c(y).
4*y*(y - 3)*(y + 201)
Let y be 7/(-2)*-48*(-7)/(-392). Determine o so that -6/7*o + 4/7*o**2 + 0 + 2/7*o**y = 0.
-3, 0, 1
Let -2/7*x**2 - 626/7 - 628/7*x = 0. What is x?
-313, -1
Let n be (-20)/15*(-3)/(-2) - -6. Factor -12*v - 9*v**3 + 0*v**3 + 27*v**2 + v**n - 4*v**4 - 3*v.
-3*v*(v - 1)**2*(v + 5)
Let o(r) be the third derivative of 0*r + 2809/3*r**3 - 53/6*r**4 + 7*r**2 + 1/30*r**5 + 0. Solve o(n) = 0.
53
Suppose -9 - 3*z**4 - 53/2*z**3 + 43/2*z + 7*z**2 = 0. What is z?
-9, -1, 1/2, 2/3
Let o = -102312 + 409249/4. Factor 0 - 1/4*d**3 - 1/2*d**2 + 0*d + o*d**4.
d**2*(d - 2)*(d + 1)/4
Let b = 105228 - 105226. Let 2/5*i**4 + 14/5*i**b + 39/2*i - 5 - 33/10*i**3 = 0. What is i?
-2, 1/4, 5
Suppose 0 = 217*s - 213*s - 232. Find a such that 9*a**2 - 5*a**4 - 58 + s + 11*a**2 - 5*a**3 + 20*a = 0.
-2, -1, 0, 2
Let z(a) be the first derivative of -5 + 1/5*a**3 + 9/5*a - 6/5*a**2. Factor z(j).
3*(j - 3)*(j - 1)/5
Suppose 1578 = 32*o - 1238. Factor 23*w**2 - 92*w - o - 21*w**2 - 6*w**2.
-4*(w + 1)*(w + 22)
Let k = -4991 - -4993. Let n(x) be the first derivative of -1/3*x**k - 10 + 0*x + 1/15*x**5 - 1/9*x**3 + 1/6*x**4. Solve n(h) = 0 for h.
-2, -1, 0, 1
Let g(c) = -c**2 - 8*c + 21. Let h be g(-10). Let x(i) = 27*i - 5. Let l be x(h). Solve 12*s + 3*s + 2*s**3 - l*s + 11*s - 6*s**2 = 0.
0, 1, 2
Let m(q) = 363*q + 1815. Let r be m(-5). Let f be (3/(-9))/(15/(-20)). Factor -1/9*i**3 + r*i + 0 - f*i**2.
-i**2*(i + 4)/9
Let w(y) = -8*y**3 - 6062*y**2 + 12157*y - 6066. Let d(f) = -7*f**3 - 6063*f**2 + 12153*f - 6069. Let i(n) = -3*d(n) + 2*w(n). Solve i(q) = 0.
-1215, 1
Let c be (5/(1125/(-135)))/((-14)/20). Factor -4/7 - 2/7*d**2 - c*d.
-2*(d + 1)*(d + 2)/7
Let m(n) = -n**2 + 19*n - 67. Let w(r) = -r + 1. Let f(g) = m(g) - 3*w(g). Let z be f(18). 