of -d*x + 0 - 1/12*x**4 + 0*x**2 + 1/3*x**3. Determine i so that f(i) = 0.
0, 2
Let x(m) be the second derivative of 3*m**5/20 - 243*m**4/4 + 19683*m**3/2 - 1594323*m**2/2 + 4*m - 351. Factor x(j).
3*(j - 81)**3
Let h(b) = 0*b**4 - 109*b + 55*b + 1 + 52*b - b**4. Let y(t) = 3*t**4 - t**3 + 3*t**2 + 9*t - 6. Let p(d) = 4*h(d) + y(d). Solve p(l) = 0 for l.
-2, -1, 1
Let k = 35/3 - 1135/6. Let n = k - -180. Solve 10/3*t - 5/6*t**2 - n = 0 for t.
1, 3
Let o(u) be the second derivative of u**5/10 + 20*u**4/3 - 832*u**3/3 + 3584*u**2 + 2*u - 80. Determine k, given that o(k) = 0.
-56, 8
Factor -272*d**2 - 132*d + 1252*d + 374 + 266*d**2.
-2*(d - 187)*(3*d + 1)
Let y(g) = -g**3 + 0*g + 4*g + 1 + 2*g**2 - 2. Let i be y(3). Let u(j) = -j**3. Let a(q) = -8*q**3 - 2*q**2 - q. Let w(t) = i*a(t) - 14*u(t). Factor w(b).
-2*b*(b + 1)**2
Suppose -91*a + 648 = 99*a - 112. Determine m so that -1/2*m**3 + 1/4*m**5 - 1/4*m**a + 0 + 0*m**2 + 0*m = 0.
-1, 0, 2
Let y = 101/15 + -53/15. Let k = 14 + -10. Let 0 + 0*u + y*u**5 - 4*u**k + 2/5*u**2 + 2/5*u**3 = 0. Calculate u.
-1/4, 0, 1/2, 1
Let c(q) be the first derivative of 0*q**2 - 276 + 51/4*q**4 - 18*q**3 + 0*q + 3/5*q**5. Let c(n) = 0. What is n?
-18, 0, 1
Let j(y) = 7*y**2 + 188*y + 1807. Suppose -18*t + 35 = -11*t. Let d(c) = 15*c**2 + 375*c + 3615. Let l(q) = t*j(q) - 2*d(q). Factor l(s).
5*(s + 19)**2
Suppose 34 = -5*c - 3*o, 206*c - 262 = 127*c - 3*o. Suppose -1 - 193/4*z**2 + 169/8*z**c - 117/8*z**3 - 27/2*z = 0. What is z?
-1, -2/13, 2
Let b(o) be the second derivative of -18/7*o**2 + 88*o + 38/21*o**3 + 2 - 11/21*o**4 + 1/35*o**5. Determine i so that b(i) = 0.
1, 9
Let u be ((-300)/(-308) - 1)/(23/161*-1). Factor -14/11*r**2 + 2/11*r + 14/11 - u*r**3.
-2*(r - 1)*(r + 1)*(r + 7)/11
Determine o so that 13398 + 45*o - 13530 + 15*o + 3*o**2 = 0.
-22, 2
Let k(y) be the second derivative of -y**6/60 - y**5/2 - 71*y**4/12 - 35*y**3 - 441*y**2/4 - 1362*y. Factor k(j).
-(j + 3)**2*(j + 7)**2/2
Factor 466/11*k - 2/11*k**3 - 464/11*k**2 + 0.
-2*k*(k - 1)*(k + 233)/11
Solve -425*g + 135*g - 143*g - 1132 - 8*g**3 - 572*g - 123*g + 2268*g**2 = 0 for g.
-1/2, 1, 283
Solve 40/9 - 82/9*s + 2/3*s**3 - 116/9*s**2 = 0 for s.
-1, 1/3, 20
Let o(k) be the second derivative of -1/18*k**3 - 3 + 1/60*k**5 + 51*k - 7/36*k**4 + 7/6*k**2. Factor o(a).
(a - 7)*(a - 1)*(a + 1)/3
Let j(h) be the first derivative of -19/9*h**4 + 5/27*h**6 - 14/45*h**5 + 152/27*h**3 + 0*h - 53 - 8/3*h**2. Determine q, given that j(q) = 0.
-3, 0, 2/5, 2
Find x such that -6/7*x**4 - 550/7*x - 2182/7*x**2 + 1646/7*x**3 + 156 = 0.
-2/3, 1, 273
Let t(k) = -13*k**3 + 118*k**2 + 111*k - 139. Let x(w) = 6*w**3 - 60*w**2 - 48*w + 69. Let o(f) = 3*t(f) + 7*x(f). Factor o(j).
3*(j - 22)*(j - 1)*(j + 1)
Let v(p) = 4*p**5 + 14*p**4 + 4*p**3 - 26*p**2 - 10. Let g(u) = u**5 + 5*u**4 + u**3 - 9*u**2 - 3. Let a(o) = -10*g(o) + 3*v(o). Factor a(s).
2*s**2*(s - 3)*(s - 2)*(s + 1)
Let f be 23 + 5*220/(-100). Let k(t) be the first derivative of 37 + f*t**2 + 2/3*t**3 + 0*t. Factor k(x).
2*x*(x + 12)
Let b(o) be the second derivative of -o**4/54 - 202*o**3/27 - 10201*o**2/9 + 658*o. Factor b(q).
-2*(q + 101)**2/9
Let x(m) be the first derivative of -2*m**5/55 + 29*m**4/22 + 26*m**3/3 - 333*m**2/11 - 180*m - 5094. Suppose x(o) = 0. Calculate o.
-5, -2, 3, 33
Let l(o) be the second derivative of -9/4*o**5 - 5/12*o**4 + 0 + 5/6*o**3 + 76*o - 11/6*o**6 + 0*o**2 - 10/21*o**7. Suppose l(r) = 0. What is r?
-1, 0, 1/4
Suppose -36*t + 10*t = 54*t. Find r, given that t - 1/3*r**4 - 1/3*r**2 - 2*r + 4/3*r**3 = 0.
-1, 0, 2, 3
Let c = 39793/30 + -13251/10. Factor -4/3 - 1/6*u**3 + c*u**2 + 1/6*u.
-(u - 8)*(u - 1)*(u + 1)/6
Let s(z) be the second derivative of z**5/40 + 13*z**4/12 - 29*z**3/3 + 30*z**2 + 11*z + 20. Factor s(h).
(h - 2)**2*(h + 30)/2
Let c(s) be the third derivative of 1/165*s**5 - 19/33*s**3 - 73 + 0*s + 37/132*s**4 - 2*s**2. Suppose c(l) = 0. What is l?
-19, 1/2
Let 1/4*z**5 + 3744*z + 31/2*z**4 + 2319*z**2 + 1728 + 1273/4*z**3 = 0. What is z?
-24, -12, -1
Let f = 36 + -33. What is s in 1723*s**3 + 15 + 25*s**5 - 1693*s**f + 7*s**2 + 95*s**4 - 16*s**2 - 101*s**2 - 55*s = 0?
-3, -1, 1/5, 1
What is i in -5281*i + 4*i**2 + 541696 + 6248*i - 3911*i = 0?
368
Let j = -260 + 2. Let a = j - -262. Solve -8/7*n**a + 0*n - 4/7*n**5 + 0 + 8/7*n**2 + 4/7*n**3 = 0 for n.
-2, -1, 0, 1
Let n be ((-18)/(-195))/((-4)/(-5)). Let z = n + 199/78. What is r in z*r - 2/3*r**2 - 8/3 = 0?
2
Let q(o) be the first derivative of 4*o**3/3 + 1830*o**2 + 1685. Factor q(t).
4*t*(t + 915)
Let g(r) be the third derivative of -r**7/10080 - r**6/1440 - 11*r**4/24 + 6*r**2 + 3. Let i(v) be the second derivative of g(v). Find c such that i(c) = 0.
-2, 0
Let c = -106/69 + 152/69. Solve 38/3*x - 4 - c*x**4 + 6*x**3 - 14*x**2 = 0.
1, 6
Find u such that -8788826 + 8788822 - 773*u**2 - 1257*u**2 - 2034*u = 0.
-1, -2/1015
Let d(o) be the second derivative of -1/55*o**6 + 141*o + 19/66*o**4 + 0 + 152/33*o**3 - 8/55*o**5 + 48/11*o**2. Suppose d(p) = 0. Calculate p.
-4, -1/3, 3
Let h = 22857/26789 - -15/3827. What is c in 8/7 - 16/7*c + h*c**2 = 0?
2/3, 2
Let n(f) be the third derivative of 0*f + 3/260*f**6 + 184*f**2 - 1/39*f**3 + 1/390*f**5 - 3/52*f**4 + 0. Factor n(h).
2*(h - 1)*(h + 1)*(9*h + 1)/13
Let l = 1106822/11 + -100620. Factor 0 + 4/11*d**2 - l*d**3 + 6/11*d.
-2*d*(d - 3)*(d + 1)/11
Let v be 0*10/12*(-18)/30. Solve 1 - 9/4*f + 11/8*f**2 - 1/8*f**4 + v*f**3 = 0.
-4, 1, 2
Let s = 255111/77 - 36237/11. Let n = -3173/14 - -467/2. Factor -n*i + s*i**3 + 180/7*i**4 - 64/7*i**2 + 0.
4*i*(3*i + 2)**2*(5*i - 3)/7
Suppose -24*x**2 - 492 - 60*x + 25*x**2 - 3*x**2 - 34*x = 0. Calculate x.
-41, -6
Let a(x) be the second derivative of -x**6/40 + 3*x**5/5 - 21*x**4/8 + 5*x**3 + 53*x**2/2 + 18*x - 3. Let i(o) be the first derivative of a(o). Factor i(g).
-3*(g - 10)*(g - 1)**2
Let k(v) be the first derivative of v**6/3 + 156*v**5/5 + 1727*v**4/2 + 5132*v**3 - 1728*v**2 - 15552*v - 5855. Let k(a) = 0. What is a?
-36, -6, -1, 1
Let t = -58/5 + 12. Let j be (-12)/(-10)*((-273)/(-26))/21. Factor -1/5*m**2 + j - t*m.
-(m - 1)*(m + 3)/5
Let x(j) be the first derivative of j**5/30 - j**4/6 - 8*j**3 - 153*j**2/2 + 86. Let p(v) be the second derivative of x(v). Determine s, given that p(s) = 0.
-4, 6
Let g(h) be the third derivative of 1/180*h**5 + h**2 - 4 + 1/18*h**4 + 0*h - 5/18*h**3. Factor g(t).
(t - 1)*(t + 5)/3
Let d(j) = j**2. Let i(q) = 9*q**4 - 204*q**3 + 1222*q**2 - 726*q. Let a(n) = -34*n**2 - 68*n + 1. Let o be a(-2). Let g(m) = o*i(m) - d(m). Factor g(t).
3*t*(t - 11)**2*(3*t - 2)
Suppose -1 = -2*f + 3*x, 3*x - 5 = -8*f + 7*f. Find o, given that -215*o**4 + 85*o**3 + 79*o**2 + 90*o + 45*o**5 + 480*o**2 + 62*o**f - 186*o**2 = 0.
-1, -2/9, 0, 3
Suppose 120*q = -2419*q. Suppose 0 + q*n - 36/7*n**2 - 3/7*n**3 = 0. Calculate n.
-12, 0
Let d = -625/177 - -4187/885. Factor 1/5*a - 6*a**3 - 2/5*a**4 + a**5 - 28/5*a**2 + d.
(a - 3)*(a + 1)**3*(5*a - 2)/5
Let g(v) be the second derivative of 3*v**5/140 - v**4/14 - 25*v**3/14 + 75*v**2/7 - v - 770. Factor g(q).
3*(q - 5)*(q - 2)*(q + 5)/7
Let s be (7/(-5 - 2)*0)/2. Let u(n) be the second derivative of s + 0*n**2 + 0*n**3 + 1/30*n**5 + 0*n**4 - 18*n. Find g such that u(g) = 0.
0
Let s = 2383111/10 + -238311. Factor 0 - s*h**3 + 1/10*h - 1/10*h**2 + 1/10*h**4.
h*(h - 1)**2*(h + 1)/10
Let r be 13 - (70*(-10)/(-35))/2. Factor 1/3 + 0*n**r - 2/3*n**2 + 0*n + 1/3*n**4.
(n - 1)**2*(n + 1)**2/3
Let s(h) be the first derivative of -5*h**3/9 + 314*h**2/3 + 889*h/3 - 4583. Determine u so that s(u) = 0.
-7/5, 127
Suppose 49*a + 53*a = 52*a + 26*a. Let v be (5/6)/((-25)/(-20)). Factor a + 4*m**3 + v*m**5 + 8/3*m**2 + 2/3*m + 8/3*m**4.
2*m*(m + 1)**4/3
Let w(j) be the third derivative of j**6/24 - 179*j**5/12 + 40495*j**4/24 - 39605*j**3/6 - 2*j**2 - 1151. Factor w(f).
5*(f - 89)**2*(f - 1)
Let f = 1145 - 1038. Suppose 0 = 7*d + f - 121. Solve 12/5*b**d + 8/5*b + 4/5*b**3 + 0 = 0 for b.
-2, -1, 0
Let o be ((-12)/9)/(3/(-36)). Suppose 23*i = 27*i - o. Factor 4*l**2 - 279*l**5 + i*l**3 + 2 + l**4 + 281*l**5 - 7*l**4 - 6*l.
2*(l - 1)**4*(l + 1)
Let v(i) be the second derivative of -i**6/10 + 1941*i**5/20 - 26082*i**4 - 52488*i**3 - 3*i + 95. Factor v(j).
-3*j*(j - 324)**2*(j + 1)
Suppose -3*