/703. Let r = 161 + a. Determine g so that 0*g + 0*g**3 - 3/4*g**2 + r*g**4 + 0 = 0.
-1, 0, 1
Let w(y) be the first derivative of 22/9*y - 320 + 2/27*y**3 + 4/3*y**2. Factor w(f).
2*(f + 1)*(f + 11)/9
Let v(s) be the first derivative of 2/3*s**3 - 3/4*s**2 - 85 + 0*s - 1/8*s**4. Factor v(j).
-j*(j - 3)*(j - 1)/2
Let q(h) be the second derivative of -h**4/42 - 17*h**3/7 - 144*h**2/7 - 6263*h. Factor q(v).
-2*(v + 3)*(v + 48)/7
Let y(l) be the second derivative of l**8/1680 + l**7/210 - l**6/18 + 23*l**4/12 + 19*l + 2. Let o(p) be the third derivative of y(p). Let o(m) = 0. What is m?
-5, 0, 2
Let z(d) = d**3 + 5*d**2 + d. Let t(h) = h**3 + 129*h**2 - 671*h. Let y(m) = t(m) - 5*z(m). What is j in y(j) = 0?
0, 13
Let g(a) = a**2 + 21*a - 6. Let t be g(-21). Let u be 18/(-12)*-15*t/(-27). Determine d so that 2/7*d**3 - 2/7*d**4 + 0 - 2/7*d**u + 0*d + 2/7*d**2 = 0.
-1, 0, 1
Factor 72*k**2 - 7203/2 - 3/4*k**3 - 6615/4*k.
-3*(k - 49)**2*(k + 2)/4
Let 0 + 2/5*k**5 - 1568/5*k + 10*k**4 - 280*k**2 + 216/5*k**3 = 0. Calculate k.
-14, -1, 0, 4
Determine b so that 0*b + 2/3*b**4 + 8/3*b**3 + 0 - 638*b**2 = 0.
-33, 0, 29
Let j = 15814 - 47440/3. Factor -1/6*d**3 - 1/2*d + 0 + j*d**2.
-d*(d - 3)*(d - 1)/6
Suppose -3*z = 2*z - 10. Let t(a) = 2 - 151*a**2 - 2 + 150*a**z - 6*a. Let b(y) = -y**2. Let h(i) = -4*b(i) + t(i). Determine l, given that h(l) = 0.
0, 2
Suppose 17*h = 27*h - 20. Suppose -h*g = 4*m, 29*m - 24*m - 22 = 3*g. Factor -12/7*x**m - 3/7*x**5 + 0 + 9/7*x**3 - 12/7*x + 6/7*x**4.
-3*x*(x - 2)**2*(x + 1)**2/7
Let q(h) = h**2 + 20*h. Let c be q(-20). Suppose -r + 8*r - 112 = c. Factor -12 + r*p**2 - 7*p**2 - 8*p - 5*p**2.
4*(p - 3)*(p + 1)
Suppose 80*x + 1904 = 148*x. Let a(r) be the first derivative of -11/2*r**4 - 70/3*r**3 - 8*r - 35 - x*r**2. Factor a(h).
-2*(h + 1)*(h + 2)*(11*h + 2)
Factor 0 + 18/11*n - 2/11*n**2.
-2*n*(n - 9)/11
Let o(g) be the second derivative of -g**4/18 + 5*g**3/9 + 50*g**2 + 727*g - 4. Factor o(n).
-2*(n - 15)*(n + 10)/3
Let m(u) be the second derivative of -11/24*u**3 - 3/2*u**2 + 2*u + 5 + 1/48*u**4. Factor m(d).
(d - 12)*(d + 1)/4
Let c(t) be the first derivative of -2*t**5/55 + 197*t**4/11 - 78400*t**3/33 + 76832*t**2/11 - 2125. Factor c(y).
-2*y*(y - 196)**2*(y - 2)/11
Let b(w) = -2*w - 20. Let c be b(-12). Suppose c*m - 17 = -m + 4*t, 4*t = 3*m - 7. What is s in m*s**2 - 6 - 19 - 8*s + 28*s = 0?
-5, 1
Let p = 88202 - 440992/5. Factor p*m**2 + 16/5*m + 1/5*m**4 + 8/5*m**3 + 1.
(m + 1)**3*(m + 5)/5
Let x(f) = -f - 1. Let g be x(-6). Let o be 309/45 - ((-42)/(-35) + (4 - 5)). Suppose 4/3 - o*k**4 + 2*k**g + 20/3*k**3 - 10/3*k + 0*k**2 = 0. What is k?
-2/3, 1
Let y be (-22)/8*(-88)/60. Let a = -38/15 + y. Find t, given that -507/2 - a*t**2 - 39*t = 0.
-13
Factor 8*y + y**2 - 1/3*y**3 + 28/3.
-(y - 7)*(y + 2)**2/3
Let k(v) be the second derivative of -v**5/30 - 37*v**4/9 + 25*v**3/3 + 77*v. Find h, given that k(h) = 0.
-75, 0, 1
Suppose 1143*h = 1152*h - 18. Let s(k) be the first derivative of -k**3/3 + 2. Let g(z) = -7*z**2 + 20. Let p(w) = h*s(w) - g(w). Let p(c) = 0. Calculate c.
-2, 2
Suppose 375*x**2 + 14284*x + 37127819 - 373*x**2 - 11623737 = 0. Calculate x.
-3571
Suppose -3*n = -4*k - 9, -4*n + 71 = 2*k + 59. Factor 0*q**2 + k*q + 1/5*q**5 + 0 - 4/5*q**4 + 3/5*q**3.
q**3*(q - 3)*(q - 1)/5
Let b(s) be the second derivative of -3*s**5/40 - 5*s**4/4 - 17*s**3/4 - 6*s**2 - 1534*s. Factor b(y).
-3*(y + 1)**2*(y + 8)/2
Let h(y) be the second derivative of -y**5/90 + y**4/54 + 64*y**3/27 - 64*y**2/9 - 5*y + 197. Find j such that h(j) = 0.
-8, 1, 8
Let p be 16 + 4 + 0/(-2). Suppose 0 = 5*t + p + 5, 40 = 5*m - 5*t. Suppose -4*h**2 + 71 + m*h + 7*h**2 - 77 = 0. Calculate h.
-2, 1
Let s = -1821924 + 1821926. Let -10/3 + 4/3*p - 2/15*p**s = 0. What is p?
5
Suppose 3*k + 1661 - 107 = 0. Let o be k/(-16) - 24/64. Determine v so that -v + 5*v**4 - 10 - 14*v + o*v**3 + 5*v**2 - 17*v**3 = 0.
-2, -1, 1
Let m(l) be the third derivative of -33*l**2 + 0 + 0*l + 13/21*l**4 - 8/21*l**3 + 11/392*l**8 - 17/84*l**6 + 38/735*l**7 - 1/7*l**5. What is p in m(p) = 0?
-2, -1, 2/11, 2/3, 1
Let p = -26 + 46. Suppose 17*g - 321 = 19. Factor -8*d**3 + 2*d**2 + 32*d**4 + 10*d**2 - p*d**5 + 4*d**3 - g*d**2.
-4*d**2*(d - 1)**2*(5*d + 2)
Let v be 4/8*-4*10/(-4). Suppose 2*g - g - 5*r + 21 = 0, -v*g + r = -15. Find m such that 5*m - g - 5*m**3 + m**2 + 4*m**3 - m = 0.
-2, 1, 2
Determine p, given that -2/17*p**3 + 520/17*p - 124/17*p**2 - 528/17 = 0.
-66, 2
Let y be (-3)/(234/(-143)) + ((-24)/(-9) - 3). Let w(c) be the first derivative of 9/8*c**2 - 1/4*c**3 - 8 - y*c. Solve w(d) = 0 for d.
1, 2
Let p be ((-4)/(-2))/(6/12). Let k = 376883 - 376883. Determine o, given that -1/3*o**2 + 1/3*o**5 - o**p + 0 + o**3 + k*o = 0.
0, 1
Let a(u) = u + u - u**3 - 3*u - u**2. Suppose 781 = 31*p + 99. Let v(h) = -13*h**3 - 15*h**2 + 3*h - 8. Let o(i) = p*a(i) - 2*v(i). Factor o(s).
4*(s - 1)**2*(s + 4)
Determine p, given that 4/5*p**4 - 256/5*p + 266/5*p**2 - 86/5*p**3 + 72/5 = 0.
1/2, 1, 2, 18
Solve 337*z**3 + 14976 + 8*z**2 - 1920*z - 335*z**3 + 2*z**3 = 0.
-26, 12
Suppose -5*w - 2*x = -5, 3*w - 14 = 5*w + 4*x. Find h, given that -2*h**2 - 36*h**w + 38*h**3 + 3*h - 7*h = 0.
-1, 0, 2
Let q(d) = d + 13. Let l(y) = -y**2 + 39*y - 10. Let c be l(39). Let v be q(c). Factor 0*n + 0*n**v - 2/7*n**4 + 2/7*n**2 + 0.
-2*n**2*(n - 1)*(n + 1)/7
Let h = 90/121 + -3128/4235. Let i = 1147/1540 + h. Find r such that -3/4 + 3*r**5 + i*r**3 - 21/4*r**2 + 6*r**4 - 15/4*r = 0.
-1, -1/2, 1
Let x(g) = 16*g**2 + 374*g - 2526. Let r(o) = 5*o**2 + 124*o - 840. Let l(d) = -7*r(d) + 2*x(d). Determine j, given that l(j) = 0.
-46, 6
Let o = 177450/17 - 887216/85. Solve -38/5*v**3 + 0 + 0*v - 28/5*v**2 - 8/5*v**4 + o*v**5 = 0.
-2, -1, 0, 7
Let p(t) = -t**3 + 26*t**2 - 88*t + 3. Let q be p(4). Let v(n) be the second derivative of 14*n - 1/138*n**4 + 0 - 1/230*n**5 + 2/69*n**q + 0*n**2. Factor v(b).
-2*b*(b - 1)*(b + 2)/23
Factor 0 + 1/2*l**4 + 84*l**2 + 27/2*l**3 - 98*l.
l*(l - 1)*(l + 14)**2/2
Let y(q) be the first derivative of -14/13*q - 127 - 2/65*q**5 + 6/13*q**2 + 16/39*q**3 - 3/13*q**4. Determine c, given that y(c) = 0.
-7, -1, 1
Let n(b) be the second derivative of 0*b**2 + 0*b**3 + 0 + 1/54*b**4 - 1/135*b**6 + 0*b**5 + 20*b. What is f in n(f) = 0?
-1, 0, 1
Let t(g) = -607*g + 609. Let z be t(1). Determine x so that 2/11*x**z + 4/11*x - 30/11 = 0.
-5, 3
Let h(k) = 20 - 40 + k**2 + 21 - k. Let r(g) = -g**2 + 2*g - 4. Let l be r(0). Let y(a) = -13*a**2 - 12*a. Let q(t) = l*h(t) - y(t). Factor q(x).
(x + 2)*(9*x - 2)
Factor -89/2*i + 45 - 1/2*i**2.
-(i - 1)*(i + 90)/2
Factor -19*j**2 - 2 - 35*j**2 - 72*j**3 + 2 + 2*j + 16*j**3.
-2*j*(j + 1)*(28*j - 1)
Let -368/5 - 2*i**5 - 236/3*i**2 + 364/15*i**4 + 158/3*i**3 - 536/3*i = 0. What is i?
-2, -1, -2/3, 2, 69/5
Let u be (-9 - -11)/(23*(-12)/(-69)). Factor 1/6*d**2 - 5/3 - u*d.
(d - 5)*(d + 2)/6
Factor 373/2 + 745/4*l - 1/4*l**2.
-(l - 746)*(l + 1)/4
Let c(r) be the third derivative of r**5/12 - 235*r**4/6 + r**2 + 947*r. Find v such that c(v) = 0.
0, 188
Let k(q) = -77*q**3 + 26256*q**2 + 343*q - 674. Let w be k(341). Factor 2/11*l**3 - 28/11*l**2 - 80/11 + w*l.
2*(l - 10)*(l - 2)**2/11
Let d(f) = -13*f**3 - 4*f**2 + 42*f + 69. Let l(j) = -4*j**3 - 2*j**2 + j - 1. Let o(z) = -d(z) + 3*l(z). Factor o(i).
(i - 8)*(i + 3)**2
Suppose 8*g - 6*g = 12*g - 40. Let x(t) be the first derivative of 3 + 0*t**2 + 0*t - t**g - 4/3*t**3. What is p in x(p) = 0?
-1, 0
Let b be ((-16)/20)/(0 - (-16)/(-40)). Let h(x) be the first derivative of 8/3*x - 11 + 52/9*x**3 + 10*x**b. Find k, given that h(k) = 0.
-1, -2/13
Let i(p) be the second derivative of 5*p**4/12 + 40*p**3/3 + 275*p**2/2 + 1888*p. Determine b, given that i(b) = 0.
-11, -5
Let q = 11471311/402502 - 2/201251. Suppose 1083/2*h + 1/2*h**3 - q*h**2 - 6859/2 = 0. What is h?
19
Factor -21/5*f**3 + 42/5*f**2 + 3/5*f**4 - 24/5*f + 0.
3*f*(f - 4)*(f - 2)*(f - 1)/5
Suppose -1389*m - 396 = -1367*m. Let p be -10 + (m/14 - -12). Let -2/7*g**2 + p*g + 3/7 = 0. Calculate g.
-1/2, 3
Suppose 6 = -0*p + 3*p. Let -356*u**2 + 30*u + 66 + 353*u**p - 3*u = 0. Calculate u.
-2, 11
Determine n so that 78*n + 311/4 + 1/4*n**2 = 0.
-311, -1
Let k be (5550/35)/5 + (-4)/(-14). Suppose -k*w = -106*w + 222. Let 0 + 33/2*l**2