t q be (3 - 14/4) + o/10. Suppose 24/5*b**2 - 6/5*b**q + 12/5*b - 9/5*b**3 - 21/5*b**4 + 0 = 0. Calculate b.
-2, -1/2, 0, 1
Factor -4/3*g + 7/3*g**4 - 23/3*g**3 + 20/3*g**2 + 0.
g*(g - 2)*(g - 1)*(7*g - 2)/3
Let s = -234 + 243. Let w be 195/45 + (-3)/s. Find k such that 0 + 12/5*k**w + 0*k - 8/5*k**3 - 4/5*k**2 = 0.
-1/3, 0, 1
Let d(u) = -24*u**3 + 118*u**2 + 172*u + 10. Let w(m) = 7*m**3 - 39*m**2 - 58*m - 3. Let i(l) = 3*d(l) + 10*w(l). Determine o, given that i(o) = 0.
-16, -2, 0
Suppose 22 = -4*a + 30. Let v be ((-4)/(-6))/((-4)/(-10 - a)). Determine h, given that -h**4 + 1/2 + 5/4*h + 1/2*h**v - h**3 - 1/4*h**5 = 0.
-2, -1, 1
Factor 0 + 2/7*y**3 - 2*y**2 - 16/7*y.
2*y*(y - 8)*(y + 1)/7
Suppose 20 = -5*n, n = -5*g + 11 - 35. Let x be (g/10)/(1/(-5)). Factor -1 + 15*a**4 + 2 - x*a**2 - 14*a**4.
(a - 1)**2*(a + 1)**2
Let c be (2*35/441)/((-5)/(-35)). Determine v, given that 4/9 - 14/9*v**2 - 2/3*v**3 + 2/3*v + c*v**4 = 0.
-1, -2/5, 1
Let a be (-29)/10 - 10/(60/(-18)). Let p(s) be the first derivative of -1 + 0*s - a*s**4 + 2/5*s**3 - 2/5*s**2. Determine b, given that p(b) = 0.
0, 1, 2
Let i(w) be the first derivative of -w**5/10 - 11*w**4 - 484*w**3 - 10648*w**2 - 117128*w - 20. Factor i(o).
-(o + 22)**4/2
Let g be 637/182 + (-2 - 1). Suppose -1/4*c**3 + 1/4*c - g - 1/4*c**4 + 3/4*c**2 = 0. What is c?
-2, -1, 1
Let a(n) be the second derivative of n**5/10 - n**4/3 - n**3 - 39*n. Factor a(i).
2*i*(i - 3)*(i + 1)
Let z = -1549 + 1552. Let x(o) be the third derivative of -1/18*o**4 + 1/180*o**5 + 0*o + 0 + 13*o**2 + 1/6*o**z. Let x(u) = 0. What is u?
1, 3
Let p(m) = 2*m**4 - 2*m**3 - 4*m**2 + m - 1. Let z(t) = t**4 - t**2 + t - 1. Let s(a) = p(a) - z(a). Factor s(j).
j**2*(j - 3)*(j + 1)
Suppose -2*m + 48 - 36 = 0. Let j(l) be the second derivative of -m*l + 1/10*l**5 + 4*l**3 - l**4 - 8*l**2 + 0. Let j(p) = 0. Calculate p.
2
Let a be (-6 + -14)*(-6)/30. Let f(o) be the first derivative of 2 - 1/8*o**6 + 0*o + 0*o**3 - 3/20*o**5 + 0*o**a + 0*o**2. Factor f(t).
-3*t**4*(t + 1)/4
Let 39*a**4 + 25*a**3 - 63*a**4 + 39*a**2 - 9*a**2 + 29*a**4 = 0. What is a?
-3, -2, 0
Let h = -534 + 3205/6. Let u(f) be the first derivative of 0*f + 4 - 2/3*f**2 - h*f**4 + 2/3*f**3. Factor u(c).
-2*c*(c - 2)*(c - 1)/3
Let h be -4*(4/36)/((-1)/6). Let m(c) be the first derivative of -h*c**3 + c**4 + 0*c**2 + 0*c + 2. Factor m(t).
4*t**2*(t - 2)
Suppose -4 = 3*a - 4*b, 4*a + 6*b - 11*b + 5 = 0. Let r(k) be the third derivative of 7*k**2 + 0*k + a + 3/40*k**5 - 1/16*k**4 + 0*k**3. Factor r(v).
3*v*(3*v - 1)/2
Let p = -17352310142/1165 + 14894688. Let u = p - -4/233. Suppose -3*q**2 + 0 - u*q**3 - 6/5*q = 0. What is q?
-2, -1/2, 0
Let w(i) = 3*i**2 - 17*i + 7. Let f be w(5). Let z be f/(-4) + (-20)/48. Factor 0 - 2/3*m - z*m**2.
-m*(m + 2)/3
Let q = 9280/187 - 542/11. Let q*k**2 - 8/17*k**3 + 2/17*k + 0 = 0. Calculate k.
-1/4, 0, 1
Factor -36/5*i + 3/5*i**2 - 39/5.
3*(i - 13)*(i + 1)/5
Let v(r) be the third derivative of r**6/80 + 13*r**5/20 + 49*r**4/16 + 6*r**3 - 363*r**2. Suppose v(l) = 0. Calculate l.
-24, -1
Let a = -883 + 19427/22. Let h(b) be the first derivative of a*b**4 - 4 + 0*b - 1/11*b**2 + 0*b**3. Factor h(d).
2*d*(d - 1)*(d + 1)/11
Let o(h) be the second derivative of -2*h**6/15 + 18*h**5/5 + 23*h**4/3 - 624*h**3 - 5408*h**2 - 243*h. Suppose o(d) = 0. What is d?
-4, 13
Suppose -170 + 90*j - 5*j**2 + 2*j**2 + 40*j - 35*j - 2*j**2 = 0. What is j?
2, 17
Let t(r) be the first derivative of -r**3/9 - 3*r**2/2 - 8*r/3 + 83. Factor t(i).
-(i + 1)*(i + 8)/3
Let l(x) be the second derivative of 4*x - 1/20*x**5 + 0 + x**3 + x**2 + 1/8*x**4. Let f(r) be the first derivative of l(r). Solve f(k) = 0 for k.
-1, 2
Let d(w) = 13*w - 218. Let u be d(17). Find m such that -5/2*m**2 - m - 3/2*m**5 + 5/2*m**u + 5/2*m**4 + 0 = 0.
-1, -1/3, 0, 1, 2
Let l(b) = b**3 + 2*b**2 + 16*b - 19. Let n(o) = -o**3 - o**2 - 17*o + 20. Let d(s) = -5*l(s) - 4*n(s). Let m(f) be the first derivative of d(f). Factor m(r).
-3*(r + 2)**2
Let w(v) = 115*v**3 + 2*v**2 + 2*v - 2. Let n be w(1). Let s be -3 - n/(-30) - (-6)/10. Suppose 3/4*q**2 + 0 + s*q = 0. What is q?
-2, 0
Factor 2/13*m**2 - 10/13*m - 12/13.
2*(m - 6)*(m + 1)/13
Let m(i) be the first derivative of 5*i**3/3 + 40*i**2 - 85*i - 116. Let m(c) = 0. Calculate c.
-17, 1
Let d(i) be the first derivative of -i**3/12 - 29*i**2/4 - 841*i/4 + 657. Solve d(r) = 0.
-29
Solve -6*v**2 + 69/2 - 1/4*v**3 - 17/4*v = 0.
-23, -3, 2
Let f = 19 - 13. Let p(b) = 4*b**2 - 23*b - 2. Let i be p(f). Factor 0*y + 0 + i*y**2 + 3*y**4 + 6*y**3 + 1/2*y**5.
y**2*(y + 2)**3/2
Let w(n) be the third derivative of 0 + 1/340*n**6 + 0*n - 5/204*n**4 + 2/51*n**3 - 2/255*n**5 + 39*n**2. Suppose w(f) = 0. What is f?
-1, 1/3, 2
Let g be (-55)/22 - 902/(-360). Let a(z) be the third derivative of 1/90*z**6 + 0 + 6*z**2 - 1/18*z**4 + 0*z + g*z**5 - 1/18*z**3. Suppose a(x) = 0. What is x?
-1, -1/4, 1
Let z be (-8)/16*(4 + 10) - -11. Let p(n) be the first derivative of 0*n + 2/3*n**6 + 0*n**2 - n**z + 0*n**3 + 0*n**5 + 7. Determine t, given that p(t) = 0.
-1, 0, 1
Suppose 4*t = -4*s + 28, -30 = -5*s - 15. Find q, given that 6/7*q**2 - 8/7 - 8/7*q**3 + 2/7*q**t + 8/7*q = 0.
-1, 1, 2
Suppose 2*r + 4*k = 0, 3*k - 2*k + 3 = r. Suppose r*v = v. Determine n so that -8*n - 6*n**2 + 5*n + 3*n**3 + v*n**2 + 6 = 0.
-1, 1, 2
Let j(t) be the third derivative of -t**7/735 + 4*t**6/105 - t**5/5 + 10*t**4/21 - 13*t**3/21 - 86*t**2. Find c such that j(c) = 0.
1, 13
Let a be ((-78)/(-15))/(12/30). Factor -12*v**2 - 15*v**3 + a*v**2 - 5*v**5 - 15*v**4 - 6*v**2.
-5*v**2*(v + 1)**3
Let t(i) = 98*i**3 - 720*i**2 + 210*i - 32. Let q(v) = v**2 - 2*v + 3. Let z(o) = 6*q(o) + t(o). Find c, given that z(c) = 0.
1/7, 7
Let x(k) = -5*k**3 + 19*k - 16. Let w(r) = 26*r**3 - 94*r + 79. Let h be -10 + (-6 - -4)/2. Let b(s) = h*x(s) - 2*w(s). Find n such that b(n) = 0.
-3, 1, 2
Suppose p + 2 + 2 = 0. Let r be (-6)/p - (-27)/18. Let 8*o**4 + 0*o - 6*o**2 - 3*o + r*o**5 - 2*o**4 = 0. Calculate o.
-1, 0, 1
Let q be 1/(1*(0 - -4)). Let t(c) = -2*c**3 + 7*c**2 + 8*c + 35. Let o be t(5). Let 1/4*y + o - q*y**2 = 0. What is y?
0, 1
Let a be ((-1)/(-24))/((-3)/92). Let b = 16/9 + a. Factor -o**3 - 1/2*o**4 + b + 0*o**2 + o.
-(o - 1)*(o + 1)**3/2
Factor 8*h**4 + 362/9*h**2 - 2668/9*h + 1682/9 + 184/3*h**3.
2*(h - 1)**2*(6*h + 29)**2/9
Let r(v) be the third derivative of v**6/180 + 11*v**5/90 + 35*v**4/36 + 25*v**3/9 - 243*v**2. Factor r(f).
2*(f + 1)*(f + 5)**2/3
Factor -135/8*a**2 + 3/2*a**3 + 33/8*a + 0.
3*a*(a - 11)*(4*a - 1)/8
Let y = -1/5609 - -16831/22436. Solve -y + 3/4*m - 3/4*m**3 + 3/4*m**2 = 0.
-1, 1
Suppose 5*m - 115 = -5*t - 0*m, 51 = 2*t + 3*m. Let o be 2 + t/(-10) - (-124)/180. Solve o*i - 2/3 - 2/9*i**2 = 0.
1, 3
Let n be (1/4)/(2/8). Let i(t) = t**3 - 6*t**2 + 8*t + 2. Let y be i(4). Suppose 1 + x**2 - 3*x**y + n = 0. What is x?
-1, 1
Let n(o) be the first derivative of -o**6/15 + o**4/2 - 2*o**3/3 + 15*o + 13. Let u(r) be the first derivative of n(r). Suppose u(v) = 0. What is v?
-2, 0, 1
Let y(x) be the second derivative of 5/3*x**4 + x**5 + 1/6*x**6 + 0*x**3 + 0*x**2 + 10*x + 0. Factor y(s).
5*s**2*(s + 2)**2
Let i(y) be the third derivative of -y**6/1620 - y**5/180 + 5*y**3/6 + 21*y**2. Let u(q) be the first derivative of i(q). Determine m so that u(m) = 0.
-3, 0
Find c such that 2/7*c**2 + 2/7*c**3 + 0 - 2/7*c**4 - 2/7*c = 0.
-1, 0, 1
Suppose c + 2*o - 5 = -2*o, -5*o = c - 5. Suppose -3 + 13 = c*r. What is u in 2 - 7*u + 2 - u + r*u**2 + 2*u = 0?
1, 2
Suppose 29 = 2*q - 5*d, -2*q + 26 = q - 4*d. Let o be q/5 + 52/(-30) + 2. Find r, given that -o*r**3 + 0 - 2/3*r**2 + 0*r = 0.
-1, 0
Factor 0*z**4 + 0 + 0*z - 3/5*z**5 + 3/5*z**3 + 0*z**2.
-3*z**3*(z - 1)*(z + 1)/5
Let w = 32 - 30. Factor -4*a**2 - w + 54*a - 2 - 62*a.
-4*(a + 1)**2
Let z = -67 + 64. Let n(f) = 7*f**3 - 5*f**2 - f + 8. Let k(c) = -8*c**3 + 4*c**2 - 8. Let t(p) = z*k(p) - 4*n(p). Determine a so that t(a) = 0.
-1, 1, 2
Find a, given that 59*a**2 + 35/6*a**3 + 256/3 + 416/3*a + 1/6*a**4 = 0.
-16, -2, -1
Factor 1089 + 1/3*y**3 + 23*y**2 + 429*y.
(y + 3)*(y + 33)**2/3
Let p(h) be the first derivative of 2*h**6/3 + 86*h**5/5 + 110*h**4 - 242*h**3/3 - 53. Determine j, given that p(j) = 0.
-11, 0, 1/2
Let v be 34722/47061 - 1/3. Let q = 