*i. Suppose o(v) = 0. What is v?
-3, -1, 0, 2, 4
Factor -2/15*q**5 - 32/15*q - 64/15*q**2 - 16/15*q**4 - 16/5*q**3 + 0.
-2*q*(q + 2)**4/15
Let j(v) be the third derivative of v**6/120 - v**5/60 - 5*v**4/12 - 2*v**3/3 - 3*v**2. Let i be j(4). Factor 33*g**4 + 25*g**i + 3*g**2 - 61*g**4.
-3*g**2*(g - 1)*(g + 1)
Suppose n - 5*a - 14 = -a, -5*n + 24 = 3*a. Suppose n*c + 2 = 7*c. Factor 4/3*g**c + 0 + 0*g + 2/3*g**3.
2*g**2*(g + 2)/3
Let 2/7*o**3 + 158/7*o + 160/7*o**2 + 0 = 0. Calculate o.
-79, -1, 0
Let d(r) = -18*r**2 - 3*r + 24. Let u(f) = -f**2 + 5*f**2 + 32*f - f**3 - 33*f - 3*f**2. Let q(w) = d(w) + 3*u(w). Solve q(b) = 0.
-4, -2, 1
Let n(r) be the third derivative of -r**9/5040 + r**7/700 - r**5/200 - 52*r**3/3 - 2*r**2 + 21*r. Let a(p) be the first derivative of n(p). Factor a(c).
-3*c*(c - 1)**2*(c + 1)**2/5
Suppose 357 + 526 = 528*u - 173. What is a in 0*a**4 - 6/7 + 9/7*a - 12/7*a**3 + 6/7*a**u + 3/7*a**5 = 0?
-2, -1, 1
Let p = -22 - 14. Let g be (-80)/p + 8/(-36). Factor 208*l**2 - 16*l**3 - 183*l**g - 20 + l**3 + 20*l.
-5*(l - 2)*(l + 1)*(3*l - 2)
Let c(j) be the third derivative of j**6/40 + 53*j**5/10 + 209*j**4/8 + 52*j**3 - 209*j**2 + 9*j - 2. Find x, given that c(x) = 0.
-104, -1
Let u be (2 - (-10)/(-3))*36/(-8). What is v in 944 + v - u*v + 3*v**2 - 1004 + 2*v**2 = 0?
-3, 4
Let t = -66 + 98. Suppose -5*a = 3*w - 27, -5*w = -2*w + 2*a - 18. Factor t*p**3 - p**4 + 108 - 3*p**w + 6*p**2 - 77*p**2 - p**2.
-4*(p - 3)**3*(p + 1)
Suppose 0 = -6*s + 7*s - 4*d + 10, -7 = s - 3*d. Suppose s*c - 4*t - 26 = -3*c, -5*c = -t - 14. Factor 6*z**2 - 10*z**2 + z**2 - 6*z + z**c.
-2*z*(z + 3)
Let l be 0*(-3 + 2)*8/(-80)*10. Factor 2*m**3 + l*m**2 + 5/2*m**4 + 0*m + 0 + 1/2*m**5.
m**3*(m + 1)*(m + 4)/2
Factor 2 + 3*b**2 + 0*b - 4 + 1 + 19 - 21*b.
3*(b - 6)*(b - 1)
Let u(i) = -i**2 + 7331*i + 2. Let j(b) = -b**2 - 7349*b - 3. Let l(k) = -2*j(k) - 3*u(k). Suppose l(q) = 0. Calculate q.
0, 1459
Let b(d) = 2*d**3 + 4 - 4*d**3 - 2*d**3 + 5*d**3 + 15*d**2. Let p be b(-15). Solve -3 + p - w**2 - 6 - 6*w = 0.
-5, -1
Let q(w) be the first derivative of -2*w**3/39 + 147*w**2/13 - 463. Factor q(v).
-2*v*(v - 147)/13
Let d = 3004/275 + -264/25. Determine b, given that 0 + d*b**2 - 4/11*b**4 + 0*b**3 - 2/11*b**5 + 2/11*b = 0.
-1, 0, 1
Determine h so that 164/3 + 54*h - 2/3*h**2 = 0.
-1, 82
Suppose 412 = 5*s - 8*a + 4*a, a - 2 = 0. Find h such that 16*h**5 - 21*h**5 - 50*h + 15*h**3 + 25*h**4 - s*h**2 + 19*h**2 = 0.
-1, 0, 2, 5
Let p(i) be the second derivative of 1/18*i**3 + 0 + i**4 - 1/60*i**5 - 191*i - 6*i**2. Find y, given that p(y) = 0.
-1, 1, 36
Factor -644*k + 227 + 804 - 170 + 4*k**3 - 632*k**2 + 411.
4*(k - 159)*(k - 1)*(k + 2)
Let r(w) be the first derivative of w**4/28 + 8*w**3/21 - 425*w**2/14 - 7780. Factor r(z).
z*(z - 17)*(z + 25)/7
Let a(i) = 2*i**2 - 76*i + 213. Let m be (-10)/9*252/(-8). Let x be a(m). Factor -35/3*u + 40/3*u**2 - 5*u**x + 10/3.
-5*(u - 1)**2*(3*u - 2)/3
Let m(y) be the second derivative of -17*y**6/75 - 5*y**5/2 - 7*y**4/5 - 1443*y. Factor m(h).
-2*h**2*(h + 7)*(17*h + 6)/5
Let k(n) be the second derivative of -5/3*n**3 + 1/6*n**4 + 6*n**2 + 31*n + 0. Factor k(x).
2*(x - 3)*(x - 2)
Let v(i) be the first derivative of 1/4*i**4 + 187/2*i**2 + 363*i - 166 + 25/3*i**3. Suppose v(s) = 0. Calculate s.
-11, -3
Let i be 12/(-72) - (-38)/12. Let q = 22853/7140 + -1/1428. Factor 0 + 8/5*k - 2*k**i - q*k**2.
-2*k*(k + 2)*(5*k - 2)/5
Let i(n) be the first derivative of -4*n**3/21 + 10*n**2 - 600*n/7 - 1647. Let i(z) = 0. What is z?
5, 30
Let h(r) be the third derivative of 0*r + 16/9*r**3 - 2/3*r**4 + 0 - 94*r**2 + 1/10*r**5. Factor h(f).
2*(3*f - 4)**2/3
Suppose -2*x - 41 = 5*g, 4*x - 213*g = -208*g + 53. Factor -6/11*d - 36/11 + 6/11*d**x.
6*(d - 3)*(d + 2)/11
Let o(a) be the first derivative of 2*a**5/35 - 12*a**4/7 + 100*a**3/7 - 232*a**2/7 + 30*a + 3. Suppose o(j) = 0. What is j?
1, 7, 15
Let -288/7 + 6/7*c**4 - 2/7*c**5 + 480/7*c - 272/7*c**2 + 48/7*c**3 = 0. What is c?
-6, 2, 3
Let r(s) be the third derivative of 1/180*s**5 + 0 - 83*s**2 + 4/9*s**3 + 0*s + 1/8*s**4. Find d, given that r(d) = 0.
-8, -1
Suppose -2*j - 30 = 4*w, -277*j + 274*j + 3 = 0. Let f be (w/6)/((-1370)/411). Factor -f*o**4 + 0*o + 8/5*o**2 + 0 + 0*o**3.
-2*o**2*(o - 2)*(o + 2)/5
Let p = 5 + -3. Let w be ((-57)/(-76))/(42/16). What is r in 2/7*r**3 - 10/7*r - w*r**p - 6/7 = 0?
-1, 3
Find b such that -156*b**4 + 6289*b**2 + 138 + 78 - 156*b - 9261*b**2 - 1732*b**3 = 0.
-9, -2, -1/3, 3/13
Let d(l) = -l**2 + 7*l + 980. Let i be d(35). Factor 4/5*t**3 + i + 2/5*t + 4/5*t**4 - 7/5*t**2.
t*(t + 2)*(2*t - 1)**2/5
Let w(i) be the second derivative of i**5/70 - 13*i**4/21 + 76*i**3/21 + 264*i**2/7 + 4683*i. Factor w(n).
2*(n - 22)*(n - 6)*(n + 2)/7
Let l(f) be the second derivative of f**5/70 + 19*f**4/21 + 5*f**3/3 - 74*f**2/7 - 93*f + 2. What is z in l(z) = 0?
-37, -2, 1
Let b(t) be the second derivative of -t**4 - 2667*t**3/2 + 2001*t**2/2 - 4*t + 1127. What is q in b(q) = 0?
-667, 1/4
Suppose 2/3*v**2 - 140/3 + 46*v = 0. What is v?
-70, 1
Let h = -2 + 11. Let i be 4 + -1 - h/9. Solve 3*y**5 - 3*y**3 - y**4 - 2*y**4 - 15*y + 3*y**i + 15*y = 0.
-1, 0, 1
Let r(z) = 10*z**2 - 275*z + 45. Let b(q) = 5*q**2 - 138*q + 27. Let o(x) = -5*b(x) + 3*r(x). Factor o(a).
5*a*(a - 27)
Let l(j) be the third derivative of -1215*j**5/8 + 45*j**4/4 - j**3/3 + 5656*j**2. Suppose l(f) = 0. What is f?
2/135
Let y be 198891/120 - 12/(-32). Let d = -1651 + y. Solve -36/5*r**2 - 8*r - 6/5*r**5 + 8/5*r**4 + d*r**3 + 16/5 = 0.
-2, -1, 1/3, 2
Find z, given that -7139/5*z + 1012/5*z**2 + 138/5*z**3 - 26/5*z**4 - 7986/5 + 1/5*z**5 = 0.
-6, -1, 11
Let h(l) be the second derivative of l**5/20 - 33*l**4/2 - 404*l**3/3 - 7633*l. Factor h(c).
c*(c - 202)*(c + 4)
Let b be (-1)/(3059/(-3822344)) - 4/(-23). Determine y, given that -b + 324/7*y - 3/7*y**2 = 0.
54
Let f(h) be the first derivative of 1/6*h**4 + 0*h + 5/3*h**2 - 47 - 4/3*h**3. Let f(o) = 0. Calculate o.
0, 1, 5
Let p = 273 + -263. Suppose -2 = 2*i + 3*j, -3*j - p = -18*i + 16*i. Factor 4/3*f**i - 8*f + 20/3.
4*(f - 5)*(f - 1)/3
Let f be ((21141/(-58))/(-81))/(18/8). What is t in 1/3*t**2 + 5/3 + f*t = 0?
-5, -1
Let k be 870/44370 + (-2750)/(-204). What is f in 57/2*f - 3*f**2 - k = 0?
1/2, 9
Let x(g) be the third derivative of g**6/84 - g**5/15 - 31*g**4/28 - 6*g**3/7 - 3*g**2 + 847*g. Determine c so that x(c) = 0.
-3, -1/5, 6
Suppose -7*p + 9*p - 74 = 0. Suppose -41*v + p + 168 = 0. Solve v*n**3 - 42/5*n**2 - 4/5*n**4 + 5*n - 4/5 = 0 for n.
1/4, 1, 4
Let i(p) be the first derivative of 49 + 26*p**2 - 54*p + 2/3*p**3. Factor i(k).
2*(k - 1)*(k + 27)
Let g = -51921 + 157331/3. Factor -2/3*i**2 + 112/3*i - g.
-2*(i - 28)**2/3
Let i = 340383/5 + -340374/5. Factor -1/5*y - i*y**2 + 1/5 - 4/5*y**4 - 11/5*y**3.
-(y + 1)**3*(4*y - 1)/5
Let s(c) = 65*c - 327. Let q be s(5). Let f be q/((-16)/(-32)*(-5 + 3)). Suppose 25/4*h**f - 9/4*h**4 + 0*h**3 + 1 - 5*h = 0. Calculate h.
-2, 1/3, 2/3, 1
Let u = 95838 - 479189/5. Factor -u*q**2 - 4/5*q - 3/5.
-(q + 1)*(q + 3)/5
Let g be 1*7/14*8. Let a = 383 - 1147/3. Find o such that 8/3*o - g*o**3 - a*o**4 - 6*o**2 + 8 = 0.
-3, -2, 1
Suppose -16 = 12*w - 16*w. Let y be ((-1)/(-3))/((-1)/(-6)). Find x such that 33*x**3 + 75*x - 26*x**2 + 131*x**2 - y*x**w + 0*x**4 + 5*x**4 = 0.
-5, -1, 0
Factor -21 - 1/9*j**2 - 22/3*j.
-(j + 3)*(j + 63)/9
Suppose 215*d - 204*d - 13 = 9. Let l be 3 - ((-1)/4 + 3). What is h in -3/4*h**d + 1/4*h - l*h**3 + 3/4 = 0?
-3, -1, 1
Let n(z) = 14*z**2 - 20*z + 64. Let b(f) = -24*f**2 + 41*f - 126. Let g(s) = -4*b(s) - 7*n(s). Factor g(u).
-2*(u - 2)*(u + 14)
Suppose 63*h = -17*h + 480. Let t(z) be the first derivative of 146/3*z**3 - 16*z**2 - 72*z**6 + h - 9*z**4 + 2*z - 648/5*z**5. Factor t(v).
-2*(v + 1)**2*(6*v - 1)**3
Let d(f) be the first derivative of -3*f**4/4 + f**3/3 - f + 9. Let u be d(-1). Determine g so that -183*g**2 - 180*g**2 + 360*g**2 - g + g**3 + u = 0.
-1, 1, 3
Suppose 5*o + 55 = -18*t, 65*t = 68*t - 2*o - 22. Solve 3/2 - 3/8*q**2 + t*q = 0 for q.
-2, 2
Let q(o) be the first derivative of -28*o**6/3 + 1748*o**5/5 + 364*o**4 - 1492*o**3/3 - 700*o**2 - 256*o - 14006. Find b, given that q(b) = 0.
-1, -1/2, -2/7, 1, 32
Let o(h) = h**2 + 561*h - 1161. Let s(n) = -n**2 -