 1 + f*z - 3*z**2 = 0.
-3, -1/4, 1
Let k be 64/3 - (-118 - -139). Determine v so that 1/3*v**2 + v**3 - k*v**4 - v + 0 = 0.
-1, 0, 1, 3
Factor -14220*f**4 - 100*f**2 + 7108*f**4 - 48*f + 7108*f**4 - 56*f**3.
-4*f*(f + 1)**2*(f + 12)
Let o be (-3901)/(-2068) + 18/(-132). Solve -3/4*x**5 + 1/2*x**2 + 1/2*x**4 + 0 + o*x**3 + 0*x = 0.
-1, -1/3, 0, 2
Let o(z) be the third derivative of 19*z**8/1512 - z**7/15 - z**6/27 + 8*z**5/9 - 56*z**4/27 + 16*z**3/9 - 2132*z**2. Solve o(v) = 0.
-2, 6/19, 1, 2
Let x(o) = -37*o**2 + 23*o - 117. Let w(l) = 62*l**2 - 46*l + 235. Let m(i) = 3*w(i) + 5*x(i). Factor m(v).
(v - 15)*(v - 8)
Let d(o) be the third derivative of 135*o**2 + 0 + 0*o**3 + 0*o + 1/420*o**7 + 1/8*o**4 + 0*o**6 - 7/120*o**5. Determine b so that d(b) = 0.
-3, 0, 1, 2
Let w be 14156/(-30) - (-47)/235. Let j = w - -472. Solve 5/3*r**2 + r**3 - j*r**5 + 0 - 1/3*r**4 + 2/3*r = 0.
-1, 0, 2
Let z(k) = 667*k + 93392. Let j be z(-140). Suppose 2/3*t - 2/3*t**3 + j*t**2 - 12 = 0. Calculate t.
-1, 1, 18
Factor -128726*v**3 + 230*v**2 - 1874*v**2 + 128698*v**3 + 472*v.
-4*v*(v + 59)*(7*v - 2)
Let p(z) = -4103*z + 12311. Let i be p(3). Find c such that 0 + 0*c - 14/9*c**4 + 8/3*c**3 + 0*c**i + 2/9*c**5 = 0.
0, 3, 4
Let b(h) be the first derivative of 4*h**5/5 - 1164*h**4 + 602176*h**3 - 116822144*h**2 + 3187. Factor b(q).
4*q*(q - 388)**3
Solve 2/5*x**2 + 1312/5 + 1314/5*x = 0 for x.
-656, -1
Let z(g) be the third derivative of -g**6/780 - g**5/390 + g**4 - 5825*g**2. Factor z(r).
-2*r*(r - 12)*(r + 13)/13
Factor 84*f**3 + 385*f + 5*f**4 - 139*f**3 - 250 - 15*f**2 - 70*f**3.
5*(f - 25)*(f - 1)**2*(f + 2)
Suppose 80*h**2 + 74524*h - 74396*h - 7*h**4 + 8*h**4 + 16*h**3 = 0. What is h?
-8, -4, 0
Factor -989*s + 439*s - 320 + 35*s**2 + 755*s + 115*s + 790*s.
5*(s + 32)*(7*s - 2)
Let j(w) be the third derivative of -w**7/70 + 7*w**6/40 + w**5 - 33*w**4/2 - 72*w**3 - 30*w**2 - 9*w. Determine k, given that j(k) = 0.
-4, -1, 6
Let r be (-2)/(-20) - (-48)/120. Suppose -17*j + 13 = 4*g - 16*j, 3*g - j - 1 = 0. Factor 0 - r*d + d**g - 1/2*d**3.
-d*(d - 1)**2/2
Suppose -4*p + 2*q + 0*q + 172 = 0, -90 = -2*p + 3*q. Factor -s**3 + p + 19 + 14 + 236*s + 45 + 112*s**2 - 3*s**3.
-4*(s - 30)*(s + 1)**2
Determine g so that -24*g**2 + 6*g**3 - 244*g**2 + 6*g**3 - 160*g**2 + 480*g + 120*g**2 = 0.
0, 5/3, 24
Let f(m) be the second derivative of -3*m**2 + 1/2*m**4 + m + 0 + 1/10*m**5 - 1/3*m**3. Find r such that f(r) = 0.
-3, -1, 1
Let u(o) be the second derivative of o**8/336 - 29*o**7/168 + 28*o**6/9 - 49*o**5/6 + 65*o**3/6 + 4*o. Let n(t) be the second derivative of u(t). Factor n(f).
5*f*(f - 14)**2*(f - 1)
Let f be (234/(-36))/(2 + -1 - 21) - (-81)/(-648). Factor 5 - f*y**2 + 24/5*y.
-(y - 25)*(y + 1)/5
Let k be 20/(-34) + 255200/65076. Solve -2/3*z**2 - k*z + 28/3 = 0.
-7, 2
Factor -195 + 37*y**3 + 458*y - 4*y**4 - 205 + 422*y - 564*y**2 + 51*y**3.
-4*(y - 10)**2*(y - 1)**2
Factor 1420*q - 622*q + 308*q**2 + 310 - 179*q - q**3.
-(q - 310)*(q + 1)**2
Let d = -1016 - -99. Let z = -913 - d. Determine k so that -3/4*k**z + 0*k + 1/4*k**5 - 1/4*k**3 + 7/4*k**2 - 1 = 0.
-1, 1, 2
Let r be 23 - (-27 + (-1092)/(-24)). Factor 3/2*s**2 + 39/4*s + r.
3*(s + 6)*(2*s + 1)/4
Let s(o) be the first derivative of -o**5/10 - o**4/3 + 5*o**3/3 + 6*o**2 + 54*o + 173. Let p(v) be the first derivative of s(v). Factor p(l).
-2*(l - 2)*(l + 1)*(l + 3)
Let s(x) = 26*x**4 + 39*x**3 - 29*x**2 - 16*x + 55. Let i(w) = 22*w**4 + 39*w**3 - 28*w**2 - 17*w + 44. Let z(j) = -5*i(j) + 4*s(j). Factor z(a).
-3*a*(a - 1)*(a + 7)*(2*a + 1)
Let w(i) = -i + 9. Suppose -3*g + 4*j - 10 = 0, 4*g + 2 = 3*j - 23. Let t be w(g). Factor s**2 + t*s**2 + 11*s + 3*s - 12*s**3 - 6*s.
-4*s*(s - 2)*(3*s + 1)
Let m(z) = -z + 3*z + z**2 + 4*z**2 - 1 - 1. Let a be m(1). Factor 16*y**2 - y**3 + a*y**3 - 8 - 4*y - 4*y**4 - 4*y**2.
-4*(y - 2)*(y - 1)*(y + 1)**2
Let n(l) = l**2 - 26*l - 75. Let d(x) be the third derivative of -x**5/30 + 25*x**4/24 + 25*x**3/2 + 15*x**2 + 2*x. Let i(f) = 4*d(f) + 5*n(f). Factor i(m).
-3*(m + 5)**2
Let w(h) be the first derivative of 14/9*h**3 + 1/18*h**6 + 4*h**4 - 49/6*h**2 + 0*h - 38 - 14/15*h**5. Solve w(f) = 0.
-1, 0, 1, 7
Let x be (-2189)/(-9) + 12/(-54). Let b be x/648*(0 - -8). Determine o so that 2/3*o**5 + 0*o**b + 4/3*o**4 - 4/3*o**2 + 0 - 2/3*o = 0.
-1, 0, 1
Let v be (1 - 2)/((-938)/1474). Let s(u) be the first derivative of -21 + 3/7*u + 3/2*u**2 + 15/28*u**4 + v*u**3. Factor s(n).
3*(n + 1)**2*(5*n + 1)/7
Let v(u) = -997*u + 47859. Let x be v(48). Find q such that -3/2*q**2 + 7/4*q - 1/4*q**x + 0 = 0.
-7, 0, 1
Determine f, given that -3/4*f**3 - 15129*f + 369/2*f**2 + 413526 = 0.
82
Let q be ((-4)/(-50))/(2288/57200). Solve 2048/17 + 2/17*g**q + 128/17*g = 0.
-32
Let w(q) = 345*q**3 - 61*q**2 - 130*q - 4. Let u(s) = 949*s**3 - 183*s**2 - 389*s - 11. Let z(l) = -4*u(l) + 11*w(l). Let z(b) = 0. What is b?
-2, 0, 63
Suppose -390*h + 3/8*h**2 - 3123/8 = 0. Calculate h.
-1, 1041
Let x(k) be the third derivative of k**5/360 + 71*k**4/72 - 146*k**3/9 + 4791*k**2. Factor x(z).
(z - 4)*(z + 146)/6
Let w(u) = -6*u + 71. Let m be w(6). Factor -14*x**5 - m*x**2 - 30*x**4 - 126*x**3 + 12*x**5 - 63*x**2.
-2*x**2*(x + 1)*(x + 7)**2
Let l = 288547/4 + -70231. Let p = -1899 + l. Find g such that -63/2*g - 147/4*g**2 - p = 0.
-3/7
Let -3211*n - 3*n**2 + 234 + 9654*n - 3183*n - 3191*n = 0. What is n?
-3, 26
Find z such that 2/7*z**2 - 90/7*z + 748/7 = 0.
11, 34
Let l(r) = -r**3 - 26*r**2 - 4*r - 102. Let o be l(-26). Factor 31*w**3 + w**2 + 2275*w**o + 167 + 69*w**3 + 1616*w - 196*w**2 + 153.
4*(w + 20)*(5*w + 2)**2
Let j(o) be the third derivative of -o**5/12 - 2875*o**4/6 - 3306250*o**3/3 - 3476*o**2. Factor j(t).
-5*(t + 1150)**2
Let i = 559 - 557. Suppose -3*v - 2*v + 25 = 0. Solve 8*h**3 - 5*h**2 - 7*h + i*h + v*h**4 - 3*h**3 = 0.
-1, 0, 1
Let d(a) be the second derivative of a**5/20 + 11*a**4/12 + 17*a**3/3 + 12*a**2 - 514*a. Let d(j) = 0. Calculate j.
-6, -4, -1
Suppose 3*t = -2*o, -15 = -5*t + o - 2. Suppose -188*p**2 - 194*p**2 - p**4 - 3*p**3 + 380*p**t = 0. What is p?
-2, -1, 0
Let n = 555 - 333. Find i, given that 13*i**4 + n*i**4 - 615*i**3 + 330*i**3 - 205*i**2 - 4*i**5 - 30 + 185*i + 104*i**5 = 0.
-3, -1, 1/4, 2/5, 1
Let c(x) = -2*x**2 - 87*x + 457. Let o(n) = 7*n + 1. Let v(q) = c(q) + 5*o(q). Let v(s) = 0. What is s?
-33, 7
Let v(h) = -h**2 - 50*h - 462. Let w be v(-26). Factor -164*a**4 - 2006*a**2 - 10800*a - 334*a**2 + 321*a**4 - w*a**4 - 185*a**3 - 8640.
-5*(a + 1)*(a + 12)**3
Let w(d) = -22*d + 50*d - 20*d + 36 + 0*d**2 - d**2. Let z be w(11). Factor 5*a**3 + 9*a**4 + 5*a**z - 4*a**4.
5*a**3*(a + 2)
Let j(t) be the first derivative of t**4/8 - 6*t**3 + 108*t**2 + 58*t - 64. Let m(b) be the first derivative of j(b). Solve m(p) = 0.
12
Let b(r) be the second derivative of -2*r**7/15 - 94*r**6/75 + 287*r**5/25 - 449*r**4/15 + 104*r**3/3 - 88*r**2/5 - 3326*r. What is v in b(v) = 0?
-11, 2/7, 1, 2
Let h = -1957 + 1960. Let a(u) be the third derivative of 5/8*u**4 - 18*u**2 + 1/6*u**5 + 0 + 0*u + 0*u**h - 1/24*u**6. Suppose a(v) = 0. Calculate v.
-1, 0, 3
Let s(i) be the first derivative of -i**3 - 195*i**2 - 12675*i + 556. Factor s(h).
-3*(h + 65)**2
Suppose -3*u + 8*u = 15. Let z = 0 - -10. Solve d + 2*d**u + d**2 - z*d**2 + 6*d**2 = 0 for d.
0, 1/2, 1
Suppose 2*g + 4*f + 2 = 4, 5 = -5*f. Suppose -1094*r + g = -1093*r. Solve 41/9*k**2 + 100/9 - 220/9*k - 2/9*k**r = 0.
1/2, 10
Suppose 2*n = 4 + 2. Suppose -1 = -3*m + 5*a, -m + a + n = 2. Factor -35*r + r**5 - 3*r**3 + m*r**2 + 35*r.
r**2*(r - 1)**2*(r + 2)
Let x = 143760 + -718776/5. Suppose x*j + 4/5*j**2 + 16/5 - 6/5*j**3 - 2/5*j**4 = 0. Calculate j.
-2, -1, 2
Let y = -84 - -30. Let z = y - -56. Factor 5*w**4 + 78*w + 0*w**4 + 120*w**z - 40*w**3 - 238*w + 80.
5*(w - 2)**4
Let a = -12 + 18. Let u be 16/(-12)*(-171)/a. Solve -t - 9*t**5 - 5*t + 11*t**3 - u*t**3 - 27*t**2 - 33*t**4 - 18*t**3 = 0.
-1, -2/3, 0
Let m(b) be the second derivative of -b**7/42 + b**6/30 + b**5/4 - 5*b**4/12 - 2*b**3/3 + 2*b**2 + 79*b + 1. Solve m(k) = 0.
-2, -1, 1, 2
Suppose 0 = 2*s - x - 12, s + 4*s + 2*x = 48. Let u be (-3 + 0)/(339/(-226)). Factor -2*k**5 + 71*k**4 + 2 - 2*k - 12*k**3 - u + s*k**2 - 63*k**4.
-2*k*(k - 1)**4
Let d = 6 + -3. Let v(l) be the thi