k**2 + 82*k + 1084. Let z(o) = 3*i(o) - 4*q(o). Suppose z(t) = 0. What is t?
4, 135
Let b(q) = -21*q - 133. Let c be b(-12). Solve -20 - 227*y**2 + c*y**2 - 7*y - 8*y + 113*y**2 = 0 for y.
-1, 4
Suppose -3*v - 27 = 207*q - 204*q, -16 = 3*v + 2*q. Solve 0*k**4 + 0*k**v + 5/4*k**3 - 1/4*k**5 + 0 - k = 0 for k.
-2, -1, 0, 1, 2
Let c = 23 + -21. Let m be (c/(-10))/((-24)/240). Find w, given that -m*w**4 + 12*w**5 + 504*w**3 - 7*w**4 - 507*w**3 = 0.
-1/4, 0, 1
Let o(y) be the second derivative of -y**5/15 + 26*y**4/3 - 320*y**3 - 6400*y**2/3 + 800*y. Factor o(l).
-4*(l - 40)**2*(l + 2)/3
Let c be (-48)/2 - (1389 + -1434). Suppose -24 + c*d - 3/4*d**3 - 3*d**2 = 0. Calculate d.
-8, 2
Let x(p) be the second derivative of p**7/147 - p**6/105 - 4*p**5/35 + 2*p**4/7 + 7377*p. Factor x(d).
2*d**2*(d - 2)**2*(d + 3)/7
Let v be 33*3/12*84/9. Factor -8*u - 63*u**3 + 32*u + v*u**3 - 32*u**2 - 2*u**4.
-2*u*(u - 3)*(u - 2)**2
Let n be (2 - 22/14)/((-586)/(-2051)). Let m(s) be the second derivative of 1/4*s**4 + 0*s**3 - 18*s + 0 - n*s**2. Find b such that m(b) = 0.
-1, 1
Let l(o) be the second derivative of -9*o**5/80 + 5*o**4/4 + 9*o**3/8 - 21*o**2/4 + 2*o + 126. Determine d so that l(d) = 0.
-1, 2/3, 7
Let n = -98 + 102. Solve -24*u**2 + 173*u + 19*u**2 - u**4 - n*u**3 - 175*u = 0 for u.
-2, -1, 0
Let w(k) be the third derivative of -k**6/120 + 19*k**4/24 + 5*k**3 + 8*k**2 + 121*k. Factor w(t).
-(t - 5)*(t + 2)*(t + 3)
Suppose 11 = 4*w + 3. Factor 2198*m**w + 6*m**3 - 2249*m**2 + 9 - 54 + 114*m.
3*(m - 5)*(m - 3)*(2*m - 1)
Let c(z) = -4*z**3 - 142*z**2 - 158*z - 10. Let i(q) = q**3 + 3*q + 2. Let r(k) = 3*c(k) + 15*i(k). Suppose r(w) = 0. Calculate w.
-1, 0, 143
Let m be 183/18 + (-1)/6. Let w be (8/m)/(8/20). What is r in 12*r**3 + 6*r**3 - 4*r**5 + 10*r**2 - w*r**2 - 6*r**3 = 0?
-1, 0, 2
Let h = -321 + 343. Determine p so that 6*p**2 - h*p**5 + 16*p**5 + 9*p**3 + 10*p**4 - 19*p**4 = 0.
-2, -1/2, 0, 1
Let c(m) = -44*m**4 - 1484*m**3 - 10996*m**2 + 14756*m - 2272. Let b(o) = -2*o**3 - 2*o**2 + 2. Let z(p) = 20*b(p) - c(p). Solve z(x) = 0 for x.
-17, 2/11, 1
Suppose -244 + 64 = -12*k. Let w be 17/k - -2 - (-2)/(-15). Solve -9/2*q**2 + 9/2 - 3/2*q + 3/2*q**w = 0.
-1, 1, 3
Let d(w) = 1842*w + 132626. Let m be d(-72). Suppose 1/3*f**m + 0*f - 16/3 = 0. Calculate f.
-4, 4
Let z be (-948)/(-408) - (-22 - 2226/(-102)). Let -z*o**4 + 0*o + 0 + 0*o**2 - 3/2*o**5 + 6*o**3 = 0. Calculate o.
-3, 0, 4/3
Let i(p) = 70*p + 106. Let m be i(2). Factor -6 - m*w - 7 + 9*w - 26*w**2 - 43 - 131*w.
-2*(w + 14)*(13*w + 2)
Let x be 15/35 + 3 + 40/(-28). Solve -6*l + l**x - 2*l + 4*l - 9*l**2 - 15*l**2 = 0 for l.
-4/23, 0
Factor 52/3 + 2/3*v**2 + 10*v.
2*(v + 2)*(v + 13)/3
Let j = -40 - -50. Let l(i) = -i**2 + 11*i - 8. Let u be l(j). Determine n, given that 1072 - 6*n + 3*n**3 - 1072 + 3*n**u = 0.
-2, 0, 1
Let r(h) be the first derivative of h**5/70 + h**4/42 - 10*h**3/21 + 8*h**2/7 - 14*h - 118. Let a(u) be the first derivative of r(u). Factor a(f).
2*(f - 2)*(f - 1)*(f + 4)/7
Let -809*t - 2926*t - 13 + 27 - 5604*t**2 - 1854*t**2 - 17 = 0. Calculate t.
-1/2, -1/1243
Let w = -196 + 203. Let n be ((-6)/(-7))/(4/w). Factor -1/2*h**2 + n*h - 1.
-(h - 2)*(h - 1)/2
Let q(i) = 17*i + 70. Let p be q(-4). Let u be (0/(-4))/p - 2/(-3). Factor -1/3*h**3 + 0 + u*h + 1/3*h**2.
-h*(h - 2)*(h + 1)/3
Let a(u) = -16*u**3 + 125*u**2 - 74*u - 105. Let l(d) = 21*d**3 - 167*d**2 + 99*d + 137. Let s(m) = 9*a(m) + 7*l(m). Factor s(c).
(c - 14)*(c - 1)*(3*c + 1)
Factor -410*b - 139 - 1389 - 711 - 4*b**2 - b**2 + 314.
-5*(b + 5)*(b + 77)
Let b(r) be the second derivative of -r**5/5 + 70*r**4 - 7622*r**3 + 84872*r**2 - 20*r + 80. Find l such that b(l) = 0.
4, 103
Factor 2*m**5 + 320128*m - m**5 - 322*m**4 + 2508*m**3 + 22432*m**3 + 215168 + 80851*m**2 + 76597*m**2.
(m - 164)**2*(m + 2)**3
Determine d so that 117/5*d - 294 + 3/5*d**2 = 0.
-49, 10
Suppose -x = 4*x - s - 152, 2*s + 4 = 0. Let p = x - 26. Determine g so that 76*g**4 - 6*g**2 + 73*g**4 + 14*g**3 - 153*g**p = 0.
0, 1/2, 3
Suppose -9/2 - 1/8*f**3 + 0*f + 7/8*f**2 = 0. Calculate f.
-2, 3, 6
Suppose 4*h - 23*b + 26*b - 18 = 0, -2*h + b + 14 = 0. Factor 5120 - 4*u**2 - h*u**2 + 320*u + 15*u**2.
5*(u + 32)**2
Let w(s) be the first derivative of s**6/6 - s**5/15 - 23*s**3 + 75. Let b(n) be the third derivative of w(n). Factor b(r).
4*r*(15*r - 2)
Let u = 356 + -328. Suppose -u*c + 44 = -12. Determine o so that 128/15 - 96/5*o + 54/5*o**c = 0.
8/9
Let b(n) be the first derivative of 5*n**3 - 138*n**2 + 108*n + 1151. Suppose b(s) = 0. What is s?
2/5, 18
Let s(n) be the first derivative of 0*n - 61/33*n**3 + 31/22*n**2 + 29/44*n**4 - 81 + 1/55*n**5. Find a such that s(a) = 0.
-31, 0, 1
Let v(b) = -184*b - 2208. Let n be v(-12). Let k(u) be the second derivative of 2/3*u**3 - 1/3*u**4 + 0*u**2 + 3*u + n. Factor k(d).
-4*d*(d - 1)
Suppose 3*o - 13 = -4*w, 20 = 5*w - 0. Let t be (-5)/45*-6*o/(-2). Suppose -t*a**3 - 1/9*a**5 - 4/9*a**2 + 4/9*a + 0 + 4/9*a**4 = 0. What is a?
-1, 0, 1, 2
Let b(h) be the third derivative of -h**5/15 - 277*h**4/6 + 556*h**3/3 - 381*h**2. Factor b(t).
-4*(t - 1)*(t + 278)
Let t(k) be the second derivative of -3*k**5/80 - 25*k**4/16 + k**3/8 + 75*k**2/8 + 2701*k. Find m such that t(m) = 0.
-25, -1, 1
Let t(q) = q**2. Let x(r) be the first derivative of -14*r**3/3 - 4*r**2 - 4*r + 4. Let j = 84 - 74. Let n(w) = j*t(w) + x(w). Factor n(z).
-4*(z + 1)**2
Let g(i) = -1847*i - 96041. Let j be g(-52). Factor 0 + 6*k**3 - 3/2*k**4 + j*k - 15/2*k**2.
-3*k*(k - 2)*(k - 1)**2/2
Let d = 93 - 78. Factor 5*j**2 + 36 - 5*j**4 - 21 - d.
-5*j**2*(j - 1)*(j + 1)
What is r in -81 + 0*r + 237 + 111 - 166*r + 73 - 2*r**2 = 0?
-85, 2
Factor 1322/5*k**3 + 2096 + 2/5*k**4 + 7884/5*k**2 + 15736/5*k.
2*(k + 2)**3*(k + 655)/5
Let v(j) be the second derivative of j**7/7 + j**6/3 - j**5/5 + 6*j + 65. Solve v(a) = 0.
-2, 0, 1/3
Let p(l) = -l**3 + 16*l**2 + 16*l + 17. Let r be p(17). Suppose r*x - 4 = -x. Factor 2*t**x - 77 + 48*t - 6*t**4 + 44*t**2 - 8*t**3 - 67.
-4*(t - 2)**2*(t + 3)**2
Let h(z) be the third derivative of z**5/42 + 7*z**4/12 - 10*z**3/21 - 3108*z**2. Factor h(u).
2*(u + 10)*(5*u - 1)/7
Factor 215*h - h**2 + 273141 - 273603 - 58*h.
-(h - 154)*(h - 3)
Factor 170*x**3 - 2/17*x**4 + 0 + 2892/17*x**2 + 0*x.
-2*x**2*(x - 1446)*(x + 1)/17
Let m(i) = -23*i**2 + 67*i - 120. Suppose -178 = 4*l - 202. Let a(o) = -11*o**2 + 34*o - 60. Let u(n) = l*m(n) - 13*a(n). Factor u(k).
5*(k - 6)*(k - 2)
Factor -79*q**2 - 25*q**3 + 72*q - 6*q**2 + 65*q + 3*q**4 - 32*q + 2*q**4.
5*q*(q - 7)*(q - 1)*(q + 3)
Determine z so that 18 + 21/4*z - 1/4*z**2 = 0.
-3, 24
Let v = 17 - 17. Suppose -2*d - 4*o + 3*o + 8 = 0, v = -2*o. Find h such that 21*h**2 + 3*h**3 - 2 - 34*h**2 + h**d + 14*h**2 - 3*h = 0.
-2, -1, 1
Let k(c) be the second derivative of -1/72*c**4 + 1 + 0*c**2 - 93*c + 0*c**3. Let k(s) = 0. Calculate s.
0
Let t(k) be the first derivative of -1/3*k**3 - 5*k - 254 - 3*k**2. Factor t(x).
-(x + 1)*(x + 5)
Factor -1/8*h**2 - 791/8*h - 395/4.
-(h + 1)*(h + 790)/8
Let q(g) be the third derivative of -13/12*g**4 + 1/240*g**5 + 0*g + 0 - 253*g**2 + 338/3*g**3. What is n in q(n) = 0?
52
Let h be 2088/609 + 9/(-21). Let t(x) be the third derivative of 21*x**2 - 5/36*x**4 + 0*x - 1/90*x**5 + 0 - 4/9*x**h. Factor t(d).
-2*(d + 1)*(d + 4)/3
Let i be 60/45 - 294/(-9). Determine y, given that -56*y**2 - 32 + 38*y + 18*y**3 - 209*y**4 + i*y + 207*y**4 = 0.
1, 2, 4
Let b = 89/64 - 111/448. Factor 4/7*o**5 + 0*o**3 - 8/7*o**2 + b*o**4 + 0 - 4/7*o.
4*o*(o - 1)*(o + 1)**3/7
Let n(p) be the first derivative of -5*p**4/12 - 20*p**3/3 + 45*p**2/2 - 70*p/3 + 2712. Suppose n(x) = 0. Calculate x.
-14, 1
Let a be 8 - 2 - 750/160. Let g(x) be the second derivative of 4*x + 0*x**2 - 3/4*x**4 + 0 - a*x**5 - 1/6*x**3 - 5/6*x**6. Factor g(k).
-k*(4*k + 1)*(5*k + 2)**2/4
Find u, given that -279/2*u + 30*u**2 + 3/2*u**3 + 108 = 0.
-24, 1, 3
Let r(o) = -o**3 + 28*o**2 - 186*o + 11. Let k be r(17). Let t be ((-12)/k)/1 + (-47)/(-77). Factor 4/11 - t*z**3 + 0*z**2 + 6/11*z.
-2*(z - 2)*(z + 1)**2/11
Find a such that -110/9*a**3 + 352/9 - 32/9*a**4 - 2/9*a**5 + 472/9*a + 40/9*a**2 = 0.
-11, -4, -2, -1, 2
Let m(q) be the first derivative of q**3/4 - 27*q**2/8 + 27*q/2 + 2465. Determine n so that 