*4 - 17/11*a**2 - c*a - 8 - 32/11*a**3. Determine v so that o(v) = 0.
-2/5, -1/3
Let v(n) be the third derivative of -5/3*n**3 + 1/6*n**7 + 15/8*n**4 - 3/8*n**6 - 25*n**2 + 0 + 0*n - 5/12*n**5. Factor v(m).
5*(m - 1)**2*(m + 1)*(7*m - 2)
Let n(s) be the first derivative of 25/2*s**2 - 15/2*s**4 + 5/6*s**6 + 12 + s**5 + 10/3*s**3 - 15*s. Suppose n(t) = 0. What is t?
-3, -1, 1
Determine u, given that -2/3*u**2 - 25538/3 + 452/3*u = 0.
113
Factor 3/7 + 13/7*m + 3/7*m**3 + 13/7*m**2.
(m + 1)*(m + 3)*(3*m + 1)/7
Determine y so that 70*y**4 + 4*y - 12*y**4 - 14*y**2 + 0*y - 22*y**4 - 12*y**3 - 22*y**4 + 8*y**5 = 0.
-2, -1, 0, 1/4, 1
Let c be 9/(-45) + 22/10. Determine k, given that 4/7*k**c + 0 - 4/7*k = 0.
0, 1
Factor -6*r**3 - 1647*r + r**4 + 1647*r - 2*r**4.
-r**3*(r + 6)
Let u(f) be the third derivative of 5*f**8/1008 + f**7/21 + f**2 + 3. Factor u(s).
5*s**4*(s + 6)/3
Let p(g) = g**2 + 1. Let m(u) = 4*u**2 + 21*u + 38. Let s(o) = -m(o) + 3*p(o). Let v be s(-19). Find c such that -5/3*c**2 + 7/3*c + 1/3*c**v - 1 = 0.
1, 3
Let d(z) = z**5 - z**2. Let r(c) = 3*c**5 - c**4 + c**3 - 3*c**2. Suppose -9 = 8*s - 1. Let g(l) = s*r(l) + 4*d(l). Suppose g(x) = 0. Calculate x.
-1, 0, 1
Let c(q) = 23*q - 178. Let w be c(8). Let v(x) be the second derivative of 9/5*x**2 + 1/50*x**5 + 0 + w*x + 1/5*x**3 - 1/6*x**4. Factor v(n).
2*(n - 3)**2*(n + 1)/5
Let z(s) = s**3 - s**2 - 5*s + 3. Let y be z(3). Suppose m - g = -0*g + y, 2*g = -3*m + 23. Solve -3 - 3*j**2 + 5*j - 3*j**3 + 15 + 0 + m*j = 0.
-2, -1, 2
Let f(g) be the first derivative of 4*g**5/5 + 3*g**4 - 16*g**3/3 - 24*g**2 + 189. Solve f(d) = 0.
-3, -2, 0, 2
Let t = -37/24 - -15/8. Suppose 2*q = -4*v + 8, v = 10*q - 14*q + 2. Find b, given that 1/3*b + t*b**2 + q = 0.
-1, 0
Let f be 3*1/(-2)*(-1940)/15. Find a such that -2 - 195*a**2 - a + 0*a - 2*a + f*a**2 = 0.
-2, -1
Let d(k) be the third derivative of 4*k**2 + 0*k + 1/66*k**3 + 1/660*k**5 + 0 + 1/132*k**4. Factor d(l).
(l + 1)**2/11
Let d be ((-3)/(-6)*-3)/(12/(-32)). Let y(s) be the third derivative of 0*s + 1/60*s**5 + 1/120*s**6 - 1/6*s**3 - 1/24*s**4 + d*s**2 + 0. Factor y(c).
(c - 1)*(c + 1)**2
Let m(f) = -f**4 + 3*f**3 - f**2 + f + 2. Let i = -6 + 10. Let l(k) = 2*k**4 - 4*k**3 - k - 2. Suppose s - 2 - 3 = 0. Let h(v) = i*l(v) + s*m(v). Factor h(b).
(b - 1)**2*(b + 1)*(3*b + 2)
Let v = 38359 + -152035/4. Let i = -348 + v. Factor 3/2 - i*c + 0*c**2 + 3/4*c**3.
3*(c - 1)**2*(c + 2)/4
Factor -20/7*z**2 + 128/7 + 312/7*z.
-4*(z - 16)*(5*z + 2)/7
Suppose 0 = -2*y + 4, 3*x - 387 = -0*x - 3*y. Factor -3*t**2 + 383 - x - 67*t + 7*t**2 + 3*t.
4*(t - 8)**2
Let j(l) be the first derivative of -2/75*l**5 + 22 - 8/15*l - 4/15*l**2 + 2/15*l**3 + 1/15*l**4. Factor j(z).
-2*(z - 2)**2*(z + 1)**2/15
Let f(p) be the second derivative of -p**4/8 - 3*p**3/2 - 6*p**2 - p + 86. Find g such that f(g) = 0.
-4, -2
Let g(k) be the first derivative of 5*k**3/3 + 5*k**2/2 - 30*k - 30. Find y, given that g(y) = 0.
-3, 2
Let x(c) be the third derivative of -13*c**2 + 0*c + 0 + 1/10*c**5 + 7/6*c**4 + 8/3*c**3. Solve x(y) = 0 for y.
-4, -2/3
Let w = 1 + 2. Suppose -2 + 20*h**w + 5*h**2 + h - 3*h**2 - 21*h**3 = 0. What is h?
-1, 1, 2
Factor -12/5 + 14/5*m - 4/5*m**2.
-2*(m - 2)*(2*m - 3)/5
Factor -92*r**2 + 89*r**2 - 3 + 24 - 21*r + 3*r.
-3*(r - 1)*(r + 7)
Suppose -w + 0*w - 1 = 0. Let i be 16/4 + 0 + w. Let v**i + 3*v + 10 - v - 3*v**3 + 4*v**2 - 14 = 0. Calculate v.
-1, 1, 2
Let r(z) be the first derivative of -z**3/4 - 15*z**2/2 - 75*z + 30. Factor r(y).
-3*(y + 10)**2/4
Let o be (-28)/(-126) - ((-1320)/189)/11. Find t, given that -2/7*t**5 - 4/7*t**2 + 0 + 0*t**4 + 0*t + o*t**3 = 0.
-2, 0, 1
Find q, given that 18/11*q**2 - 20/11*q + 2/11*q**3 + 0 = 0.
-10, 0, 1
Find t such that 10454*t + 13464*t + 3*t**3 + 480*t**2 - 3455*t - 1541*t + 278*t = 0.
-80, 0
Let q(b) be the first derivative of -1/3*b**3 + 0*b - 15 + 0*b**2 - 1/10*b**5 + 3/8*b**4. Find t, given that q(t) = 0.
0, 1, 2
Let k(m) = m**2 - 5*m + 6. Let t be k(4). Factor -t*w**4 - 6*w**3 + 3*w**2 - 4*w**4 + 7*w**4 + 2*w**4.
3*w**2*(w - 1)**2
Let y(k) = k - 1. Let g be y(3). Factor -3*b**3 - 27*b**3 + 72*b - 32 + 12*b**4 - 28*b**2 + g*b**3 + 4*b**5.
4*(b - 1)**3*(b + 2)*(b + 4)
Let w(h) = 4*h**2 + 12*h. Let t(i) = -i**3 - i**2 + i. Suppose -2*d - 22 = -3*v, -v + 2*v + 4*d - 12 = 0. Let g(y) = v*t(y) - w(y). Solve g(o) = 0.
-1, -1/2, 0
Let r be 266/18 + (-4)/(-18). Let j = r - 13. Factor 4*c - 3 + 5 - 2*c**2 - j.
-2*c*(c - 2)
Suppose 2*w - 3 = 9. Factor -w*f - f**3 - 2 + 3*f + 5*f + f.
-(f - 1)**2*(f + 2)
Let h(x) be the first derivative of -2*x**3/21 + 3*x**2/7 + 8*x/7 - 25. Suppose h(w) = 0. What is w?
-1, 4
Let k(v) be the third derivative of v**8/84 - 4*v**7/21 - v**6/30 + 2*v**5/3 - 468*v**2 + 1. Let k(a) = 0. Calculate a.
-1, 0, 1, 10
Solve -14/9*u + 2/9*u**2 - 20/3 = 0.
-3, 10
Let f(v) be the first derivative of v**3 - 9*v**2/2 + 6*v + 29. Determine h, given that f(h) = 0.
1, 2
Let z(q) be the second derivative of q**4 + 80*q**3/3 - 56*q**2 - 2*q + 32. Factor z(m).
4*(m + 14)*(3*m - 2)
Let p(c) be the third derivative of -2*c**7/525 + 4*c**6/75 - 22*c**5/75 + 4*c**4/5 - 6*c**3/5 - 81*c**2 + 2*c. Suppose p(r) = 0. What is r?
1, 3
Find k, given that -7*k**3 + 2*k**3 - 5*k**3 + 182*k**2 + 0*k**4 - 25*k**4 - 315*k + 28*k**2 + 135 + 5*k**5 = 0.
-3, 1, 3
Let z(l) = -8 + 44*l**5 + 52*l**4 + 4*l**2 + 112*l + 31*l**3 - 120*l - 11*l**3. Let i(b) = -b**5 + b**4 + b**3 + b + 1. Let x(j) = -8*i(j) - z(j). Factor x(y).
-4*y**2*(y + 1)*(3*y + 1)**2
Let x(t) be the first derivative of -t**3/9 - t**2 - 80. Factor x(f).
-f*(f + 6)/3
Suppose -4*t - 4 = 2*x, -x - x - 4 = t. Let o(h) be the second derivative of h**3 + t - 2*h - 3/4*h**4 + 3/2*h**2. Factor o(l).
-3*(l - 1)*(3*l + 1)
Let w = -5 - -5. Factor -4 + c**4 - 18*c**2 - 18*c + w*c**4 + 2*c**3 + 5*c**4.
2*(c - 2)*(c + 1)**2*(3*c + 1)
Let x be ((-2)/(-10))/((-5025)/360 - -14). What is i in 12/5*i - 12*i**4 + x*i**2 + 0 - 111/5*i**3 = 0?
-2, -1/4, 0, 2/5
Let v(t) = -7*t**3 - 680*t**2 + 33719*t - 595519. Let c(x) = 2*x**3 + 171*x**2 - 8430*x + 148880. Let a(r) = -22*c(r) - 6*v(r). Determine k so that a(k) = 0.
53
Let t(x) be the first derivative of 0*x + 0*x**4 - 2/7*x**3 - 27 + 2/35*x**5 + 2/7*x**2. Find i such that t(i) = 0.
-2, 0, 1
Let b(t) be the third derivative of 2*t**7/175 - 3*t**6/50 - 3*t**5/100 + t**4/4 - 3*t**3/10 + 15*t**2 - 2. Solve b(n) = 0 for n.
-1, 1/2, 3
Let s(c) = c - 1. Let n be s(5). Suppose -5*x**3 + x - 12*x**2 + n*x + 10*x**4 + 2*x**2 = 0. Calculate x.
-1, 0, 1/2, 1
Let l(u) = -44*u**4 - 8*u**3 + 49*u**2 - 15*u - 70. Let d(j) = 25*j**4 + 4*j**3 - 25*j**2 + 8*j + 36. Let g(c) = -7*d(c) - 4*l(c). What is v in g(v) = 0?
-7, -1, 2
Let w = 28 - 24. Suppose 3*i = 2*d + 3*d - 69, w*d - 4*i - 60 = 0. What is m in -2*m**3 + 4*m**3 + 10*m**4 - d*m**4 = 0?
0, 1
Factor -2/5*v**3 - 24/5*v**2 + 56/5*v + 0.
-2*v*(v - 2)*(v + 14)/5
Suppose 1027*h = 931*h + 192. Solve 3/4*r**3 + 3/4 - 3/4*r**h - 3/4*r = 0.
-1, 1
Let l(r) be the second derivative of -3*r**5/140 - r**4/28 + 3*r**3/7 - r - 17. Find g such that l(g) = 0.
-3, 0, 2
Factor -10*s - 4*s**2 - 8 - 1/2*s**3.
-(s + 2)**2*(s + 4)/2
Let s(i) = -5*i**3 + 30*i**2 + 15*i - 30. Let a(m) = -2*m**3 + 10*m**2 + 5*m - 10. Let z(x) = 10*a(x) - 3*s(x). Find u, given that z(u) = 0.
-1, 1, 2
Let o be (-21)/2 - (-36)/72. Let z(y) = 5*y**2 - 5. Let r(x) = -16*x**2 + 16. Let w(t) = o*z(t) - 3*r(t). Determine i so that w(i) = 0.
-1, 1
Let j(b) be the first derivative of b**6/60 - 3*b**5/70 + b**4/42 + 3*b**2/2 + 8. Let z(x) be the second derivative of j(x). Factor z(d).
2*d*(d - 1)*(7*d - 2)/7
Determine m so that 135*m**3 + 60 + 595*m**2 + 320*m + 360*m**3 + 25*m**5 - 27*m**4 + 78*m**4 + 134*m**4 = 0.
-3, -2, -1, -2/5
Let g(v) be the first derivative of v**4 + 29*v**3/12 + 5*v**2/4 - 3*v/4 - 577. Factor g(u).
(u + 1)**2*(16*u - 3)/4
Suppose 100*x**2 - 32*x**3 - x**4 + 1201*x**5 - 20*x**3 - 3*x**4 - 48*x - 1197*x**5 = 0. Calculate x.
-4, 0, 1, 3
Suppose 2*o + 4 = o - w, 3*w = -2*o - 5. Let i be (-4*2/(-112))/((-2)/o). Factor -1/4*l + i*l**2 + 0.
l*(l - 1)/4
What is a in -24*a**2 + 12*a**4 + 14 - 132*a**5 - 3*a**3 - 4*a + 15*a**3 + 128*a**5 - 4*a**3 - 2 = 0?
-1, 1, 3
Factor -3*f**3 - 7*f**2 - 361*f + 0*f**3 + 2*f**3 - 31*f**2.
-f*(f +