 - 44. Factor o(z).
-z**2*(z - 1)*(z + 2)/5
Let y be ((-2)/(-1))/(6/36*4). Factor 159*w**y + 57*w**3 + 58 - 58 - 384*w**2 - 28*w**4 - 128*w.
-4*w*(w - 4)**2*(7*w + 2)
Let d(a) be the second derivative of 0*a**2 + 0 - 31/36*a**4 - 4/15*a**5 + 1/10*a**6 - 1/3*a**3 + 276*a. Suppose d(i) = 0. What is i?
-1, -2/9, 0, 3
Let z be (-146)/(-30) + 30/225. Suppose 5*y = -2*j - 7, -5*y + 0*y = z*j - 5. Suppose p**3 - 4*p + 4*p - p + j - 5 + p**2 = 0. Calculate p.
-1, 1
Let r(s) be the first derivative of s**7/3360 - s**6/1440 - s**5/80 - 19*s**3/3 - s + 42. Let z(u) be the third derivative of r(u). Find a, given that z(a) = 0.
-2, 0, 3
Let g = -317185 - -317188. Let -7/2*t**g - 1/2*t**4 + 8*t + 0 - 4*t**2 = 0. Calculate t.
-4, 0, 1
Let j(z) be the third derivative of -9*z**8/112 + 44*z**7/35 + 227*z**6/40 + 77*z**5/10 + 3*z**4 + z**2 - 245. Find a, given that j(a) = 0.
-1, -2/9, 0, 12
Let n(r) be the third derivative of -52/9*r**3 + 61*r**2 + 1/180*r**6 + 14/9*r**4 + 0*r + 0 - 17/90*r**5. Factor n(j).
2*(j - 13)*(j - 2)**2/3
Factor -438/5*p**2 - 148/5*p**3 - 29 - 436/5*p - 1/5*p**4.
-(p + 1)**3*(p + 145)/5
Let o(i) be the third derivative of i**7/1050 - 7*i**6/600 - i**5/10 + 21*i**4/10 - 36*i**3/5 + 136*i**2 - 6. Factor o(p).
(p - 6)**2*(p - 1)*(p + 6)/5
Let 4*d**3 + 217080*d + 704*d**2 + 1334*d**2 + 47087 - d**3 + 168385 - 427*d**2 = 0. Calculate d.
-268, -1
Solve -320/9 - 26/9*v**4 + 1912/9*v**2 - 592/3*v - 140/3*v**3 = 0 for v.
-20, -2/13, 2
Let x(t) be the third derivative of -5/72*t**4 + 1 - 12*t**2 - 1/20*t**5 + 0*t**3 - 1/120*t**6 + 1/630*t**7 + 0*t. Factor x(n).
n*(n - 5)*(n + 1)**2/3
Let c = -3999 + 20149/5. Let j be -5*((-28)/(-4) + -6) + 9. Let -146/5*p**2 - 98/5*p**5 + 64/5*p + 34/5*p**3 + c*p**j - 8/5 = 0. What is p?
-1, 2/7, 1
Let n(r) be the first derivative of -239 - 3/4*r**4 + 0*r**2 + 8*r**3 + 0*r. Factor n(c).
-3*c**2*(c - 8)
Let 5172*h**2 - 10376*h**2 - 1184 + 5183*h**2 + 3387*h + 218 = 0. What is h?
2/7, 161
Determine n so that 764/5 - 768/5*n + 4/5*n**2 = 0.
1, 191
Let g(p) be the first derivative of -2*p**3/3 - 68*p**2 - 1062*p + 7989. Let g(d) = 0. What is d?
-59, -9
Let f = 7921/70 + -564/5. Let p(v) be the second derivative of 1/28*v**4 + 9/7*v**2 - f*v**3 - 24*v + 0. Find i such that p(i) = 0.
2, 3
Factor 3*m**2 + 42*m + 79*m - 40*m - 10*m**2 + 8*m**2.
m*(m + 81)
Let a(h) = 64*h**3 + 4066*h**2 - 2056*h + 258. Let r(x) = -192*x**3 - 12199*x**2 + 6174*x - 775. Let u(v) = -7*a(v) - 2*r(v). Factor u(d).
-4*(d + 64)*(4*d - 1)**2
Let n(f) be the first derivative of -10/11*f**3 - 16/11*f**2 + 4 - 8/11*f. Solve n(h) = 0 for h.
-2/3, -2/5
Let u(h) be the second derivative of -h**7/210 - h**6/15 - 37*h**5/100 - 16*h**4/15 - 26*h**3/15 - 8*h**2/5 + 143*h. Suppose u(b) = 0. Calculate b.
-4, -2, -1
Let h(m) be the second derivative of -m**6/30 - m**5/2 + 10*m**4/3 + 5*m**3/3 - 39*m**2/2 - 3157*m. What is u in h(u) = 0?
-13, -1, 1, 3
Let o(j) be the second derivative of 3*j**5/8 - 235*j**4/72 - 145*j**3/9 + 35*j**2/3 + 30*j - 38. Factor o(s).
5*(s - 7)*(s + 2)*(9*s - 2)/6
Let q(m) be the first derivative of -4*m**3/21 - 26*m**2 - 360*m/7 + 14. Let q(o) = 0. Calculate o.
-90, -1
Suppose w - 100 = 3*r, -4*w + 523 = -3*r + 159. Suppose 0 = 14*x - w + 60. Let 5/3*c**x + 20/3 - 20/3*c = 0. What is c?
2
Solve 2/5*m**3 + 76/5*m**2 - 2/5*m - 76/5 = 0.
-38, -1, 1
Let h(i) be the second derivative of -2*i**6/15 - 316*i**5/5 + 640*i**4 - 7712*i**3/3 + 5152*i**2 - 876*i + 2. Factor h(f).
-4*(f - 2)**3*(f + 322)
Let o(t) be the third derivative of t**5/210 - t**4 - 172*t**3/21 + 7007*t**2. Factor o(s).
2*(s - 86)*(s + 2)/7
Let s(b) be the first derivative of 56/3*b**2 + 33 - 1/9*b**3 - 3136/3*b. Factor s(g).
-(g - 56)**2/3
Let k(v) be the second derivative of -1/3*v**2 - 1/18*v**3 + 0 + 13*v + 1/36*v**4. Suppose k(r) = 0. Calculate r.
-1, 2
Suppose -3*w + 0*w = 0. Let o be (112/105)/((-420)/(-1575) + (-4)/(-10)). Factor -o*x + w - 36/5*x**2 - 27/5*x**4 - 54/5*x**3.
-x*(3*x + 2)**3/5
Suppose 0 = -2*r + 5*k + 20, 3*r + 20*k - 23*k = 21. Factor 1984*d**3 + 1374*d**2 - 173*d**5 + 125*d**4 + 175*d**r - 413*d**2.
d**2*(d + 31)**2*(2*d + 1)
Let u(p) = p**3 + 8*p**2 + 3*p + 16. Let v = -59 + 52. Let b be u(v). Let -39*y**2 - b*y**2 + 125*y**2 - 40*y**2 + 98 - 28*y = 0. Calculate y.
7
Suppose 0 = 108*c - 205 - 119. Let u(m) be the second derivative of 1/120*m**6 - 1/48*m**4 + 0*m**2 - 1/24*m**c + 1/80*m**5 - 15*m + 0. Factor u(i).
i*(i - 1)*(i + 1)**2/4
Let q(l) = 35*l - 31. Let u be q(2). Let t be -3*(-4)/3*(u - 38). Find i such that 2/7*i**2 + 0 + 0*i - 2/7*i**t + 0*i**3 = 0.
-1, 0, 1
Let v(a) = -44*a**3 + 3392*a**2 - 3412*a + 160. Let o(k) = 14*k**3 - 1131*k**2 + 1137*k - 50. Let r(d) = -16*o(d) - 5*v(d). Factor r(q).
-4*q*(q - 283)*(q - 1)
Let x(j) = 7*j**2 - 351*j + 1336. Let y be x(46). What is m in 4/3*m + 0 + 2*m**y + 2/3*m**3 = 0?
-2, -1, 0
Let x be 6*1*(-23)/(-138). Suppose x - 3 = -k. Suppose k*f**2 - f**2 - 3*f**2 + 2*f**3 + 2*f**4 - 2*f = 0. What is f?
-1, 0, 1
Find v such that -108647/2*v**2 - 19119/2*v**3 + 14739 + 289/2*v - 1123/2*v**4 - 11*v**5 = 0.
-17, -6/11, 1/2
What is o in -83625 + 76736 + 6888*o**2 + 9*o + o**4 + 166*o**3 - 175*o = 0?
-83, -1, 1
Let q = -525227/2 + 262614. Suppose 3/2*z - q*z**2 + 2 = 0. Calculate z.
-1, 4
Suppose 6*o = 8*o - 6. What is l in 4*l**5 - 5*l**3 - 4*l**4 - 22 + 3*l**o + 8*l**2 + 18 - 6*l**3 + 4*l = 0?
-1, 1
Let i(l) be the third derivative of 16*l**7/105 + 14*l**6/3 + 211*l**5/10 + 42*l**4 + 45*l**3 + 389*l**2. Determine j, given that i(j) = 0.
-15, -1, -3/4
Solve -114/11*t**4 + 10/11*t**5 + 334/11*t**3 - 344/11*t + 120/11 - 6/11*t**2 = 0 for t.
-1, 2/5, 1, 5, 6
Suppose -23*a + 22*a = -2. Factor -48*h**2 + 16*h**a + 60*h + 13*h**2 + 24*h**2.
5*h*(h + 12)
Let -19/3*j + 2 + j**4 + 11/3*j**3 - 1/3*j**2 = 0. Calculate j.
-3, -2, 1/3, 1
Let x(i) be the third derivative of 0*i + 0 + 45*i**2 - 7/45*i**4 + 1/450*i**5 + 196/45*i**3. Factor x(a).
2*(a - 14)**2/15
Let v(s) = -99*s**3 - 85*s**2 - 21. Let u(f) = 28*f**3 + 28*f**2 + 6. Let q(l) = 14*u(l) + 4*v(l). Determine b so that q(b) = 0.
0, 13
Let o = -3955 + 3960. Let p(z) be the first derivative of 15 - 6/85*z**o + 1/51*z**6 + 2/17*z + 1/17*z**4 + 4/51*z**3 - 3/17*z**2. Factor p(m).
2*(m - 1)**4*(m + 1)/17
Suppose 6 = 3*i + 3*w, 5*i = 3*w + 43 - 33. Suppose 0 = 5*d - 6 + 21, -4*p - i*d = -6. Solve 0*o**p - 2/7*o**2 - 1/7*o**5 + 2/7*o**4 + 1/7*o + 0 = 0.
-1, 0, 1
Let n(i) = i**4 - 3*i**2 - i + 1. Let p(d) = -d**5 - 8*d**4 + 9*d**3 + 20*d**2 + 2*d - 2. Let b(v) = 6*n(v) + 3*p(v). Solve b(y) = 0 for y.
-7, -1, 0, 2
Let -37/2*y**2 - 1617/4*y - 2178 - 1/4*y**3 = 0. What is y?
-33, -8
Solve -11520 - 5*k**5 - 21840*k - 455109*k**2 + 1275*k**3 + 446029*k**2 - 2*k**4 + 32*k**4 = 0.
-16, -1, 12
Suppose 5*q - 5*p = 125, -4*q - 3*p + 53 = -33. Let i = -19 + q. Solve 0*o - 4/5*o**3 + 0 + 1/5*o**2 + 3/5*o**i = 0 for o.
0, 1/3, 1
Let x(u) be the first derivative of -u**2 - 170 + 48/11*u + 2/33*u**3. Determine l, given that x(l) = 0.
3, 8
Suppose 110 = 3*h - 107 + 211. Factor 2/3 + 1/6*g**4 - 7/6*g**3 - 13/6*g + 5/2*g**h.
(g - 4)*(g - 1)**3/6
Suppose 13*k - 22*k = -396. Suppose -d - c + 2 = 0, -5*d + 0*c - c + 10 = 0. Let 42*x - 32*x + 2*x**d + 243 + x**2 + k*x = 0. What is x?
-9
Let q(b) be the third derivative of b**6/60 - b**5/5 + 3*b**4/4 - 4*b**3/3 + 6*b**2 - 67. Solve q(i) = 0 for i.
1, 4
Suppose 41 = 3*a - 5*n, -3*n - 32 = 2*a - 15. Let b(c) be the second derivative of 1/21*c**3 - a*c + 0 - 1/84*c**4 - 1/14*c**2. Factor b(x).
-(x - 1)**2/7
Let -11/7*y**2 + 0 + 9/7*y**3 - 114/7*y = 0. Calculate y.
-3, 0, 38/9
Let u = 952/11 + -17890/209. Determine s so that -50/19 - 30/19*s - 2/19*s**3 + u*s**2 = 0.
-1, 5
Let c(i) be the third derivative of i**8/1008 + i**7/315 - i**6/24 - 8*i**5/45 - 2*i**4/9 + 13*i**2 - 19*i. Determine u, given that c(u) = 0.
-4, -1, 0, 4
Factor -1774*q**2 - 1395728206/3 - 1573538*q - 2/3*q**3.
-2*(q + 887)**3/3
Let k(y) be the second derivative of 25*y**4/3 + 250*y**3/3 - 108*y**2 + 25*y - 32. Find r such that k(r) = 0.
-27/5, 2/5
Find y such that -68*y + 1/2*y**2 + 135/2 = 0.
1, 135
Let x(f) be the second derivative of f**8/640 + 11*f**7/840 + f**6/120 - 3*f**5/10 + 2*f**4 - f - 37. Let k(u) be the third derivative of x(u). Factor k(z).
3*(z + 2)**2*(7