 = 64*l. Factor 1/2*t**2 + 0 + l*t + 1/2*t**4 - t**3.
t**2*(t - 1)**2/2
Let r(t) be the third derivative of t**8/84 + t**7/105 - t**6/10 - 7*t**5/30 - t**4/6 + 96*t**2. Suppose r(z) = 0. What is z?
-1, -1/2, 0, 2
Let z(p) = -3*p + 93. Let i be z(31). Factor -16/9*b**2 + 2/3*b**3 - 8/9*b + i + 2*b**4.
2*b*(b - 1)*(3*b + 2)**2/9
Let o(r) = r**5 + r**4 + r**3 - 1. Let x(i) = 9*i**5 + 6*i**4 - 18*i**3 + 48*i - 6. Let b(w) = 6*o(w) - x(w). Determine f so that b(f) = 0.
-2, 0, 2
Let f(s) = 246*s + 1970. Let z be f(-8). Determine m, given that 1/2*m - 1 + 1/2*m**z = 0.
-2, 1
Factor 80*w**2 - 6/5 + 76/5*w.
2*(4*w + 1)*(50*w - 3)/5
Let x(o) be the first derivative of -2*o**3/7 + 101*o**2 + 472*o/7 - 780. Factor x(h).
-2*(h - 236)*(3*h + 1)/7
Suppose 5*z - 54 = -8*m + 11*m, -5*m - 15 = 0. Determine o so that -4*o**2 - 16*o**4 + 9*o**4 + z*o**4 + 2*o**3 = 0.
-2, 0, 1
Factor 10/9 - 8/9*v + 2/9*v**4 - 4/3*v**2 + 8/9*v**3.
2*(v - 1)**2*(v + 1)*(v + 5)/9
Let j = 2/14143 + 28268/127287. What is n in -j + 11/9*n + 13/9*n**2 = 0?
-1, 2/13
Let b(o) be the second derivative of 1/28*o**5 + 1/14*o**2 + 0 - 7*o - 1/105*o**6 - 1/42*o**3 - 1/28*o**4. Solve b(t) = 0.
-1/2, 1
Let l(g) be the first derivative of -5*g**4/28 - 19*g**3/21 - 11*g**2/7 - 8*g/7 + 159. Factor l(b).
-(b + 1)*(b + 2)*(5*b + 4)/7
Let g(a) be the second derivative of a**6/90 - a**5/30 - a**4/36 + a**3/9 + 11*a - 3. Suppose g(n) = 0. What is n?
-1, 0, 1, 2
Let y be 3*(-8)/(-12) + 3. Let l(q) = -3*q**4 + 3*q**3 - 4*q + 4. Let m(j) = -j**4 + 1. Let a(i) = y*l(i) - 20*m(i). Let a(z) = 0. What is z?
-2, 0, 1
Let u(z) be the third derivative of z**8/3360 - z**7/1260 - z**6/72 - z**5/20 + 17*z**4/24 - 17*z**2. Let m(s) be the second derivative of u(s). Factor m(b).
2*(b - 3)*(b + 1)**2
Let f(j) = j - 6. Let g be f(6). Suppose a - 2294*n + 2299*n = 20, a + 4*n - 16 = 0. Factor g*x + 2/13*x**3 + a - 2/13*x**2.
2*x**2*(x - 1)/13
Let k(v) be the third derivative of v**6/180 - 17*v**5/90 + 7*v**4/18 + 32*v**3/9 + 53*v**2 - 2*v. Factor k(t).
2*(t - 16)*(t - 2)*(t + 1)/3
Let h(x) be the second derivative of -5*x**4/3 + 2*x**3/3 + 12*x**2 + 9*x + 8. Let h(f) = 0. What is f?
-1, 6/5
Let k be 19 + -8 + -7 - 2. Let 25/2*m**3 - 1/2 - 35/2*m**k + 11/2*m = 0. Calculate m.
1/5, 1
Let o = 114 + -83. Suppose -35*b = -o*b - 12. Factor 4/5*m**2 + 4/5*m - 4/5*m**4 + 0 - 4/5*m**b.
-4*m*(m - 1)*(m + 1)**2/5
Let k(h) be the second derivative of -h**7/70 - h**6/150 + 9*h**5/100 + 3*h**4/20 + h**3/15 + 127*h - 1. Let k(c) = 0. What is c?
-1, -1/3, 0, 2
Let v(i) be the first derivative of -4/3*i**3 - 8*i**2 + 0*i + 1. Factor v(k).
-4*k*(k + 4)
Let t(r) be the first derivative of 2/27*r**3 + 5/18*r**4 - 13 + 4/45*r**5 - 2/9*r**2 + 0*r. Determine n so that t(n) = 0.
-2, -1, 0, 1/2
Find g, given that 3/2*g**3 + 600 + 270*g + 36*g**2 = 0.
-10, -4
Let c(t) be the first derivative of t**5 + 40*t**4 + 1280*t**3/3 + 39. Find l, given that c(l) = 0.
-16, 0
Factor 26*c**2 + 36*c**4 + 28*c**3 - 63*c**2 - 3 + 16*c + 3 - 43*c**2.
4*c*(c - 1)*(c + 2)*(9*c - 2)
Let v(x) = x + 3*x**2 - 2*x**2 - 10 + 11. Let j(t) = -15*t**3 - 51*t**2 - 16*t - 1. Let o(u) = j(u) + v(u). Factor o(h).
-5*h*(h + 3)*(3*h + 1)
Let t(i) be the second derivative of 0 + 1/5*i**3 + 7*i - 21/20*i**5 + 18/25*i**6 - 3/20*i**4 + 0*i**2. What is a in t(a) = 0?
-1/4, 0, 2/9, 1
Let -3041*l**2 - 30*l + 5 + 3036*l**2 - 63*l + 23*l + 70*l**3 = 0. Calculate l.
-1, 1/14, 1
Let l(t) be the first derivative of -t**4/16 - 47*t**3/12 - 575*t**2/8 - 529*t/4 - 708. Factor l(r).
-(r + 1)*(r + 23)**2/4
Find z such that -104/5*z + 106/5 - 2/5*z**2 = 0.
-53, 1
Let l(h) = 8*h**2 - 6*h - 24. Let x(w) = -7*w**2 + 5*w + 23. Let t(p) = -5*l(p) - 6*x(p). Solve t(b) = 0.
-3, 3
Let s(w) be the third derivative of -w**6/480 + 3*w**5/80 + w**4/96 - 3*w**3/8 + 33*w**2 - 2. Suppose s(v) = 0. What is v?
-1, 1, 9
Let k be (11/(-66)*(-27)/18)/(5/16). Find f, given that -3/5*f - 1/5 + k*f**2 = 0.
-1/4, 1
Let v(j) be the second derivative of 3*j**5/50 - 5*j**4/3 - 131*j**3/15 - 38*j**2/5 + 273*j. Determine i so that v(i) = 0.
-2, -1/3, 19
Let b(o) be the second derivative of o**4/18 + 56*o**3/27 + 4*o**2 + 3*o. Factor b(m).
2*(m + 18)*(3*m + 2)/9
Suppose 10 + 2*a**2 - 5*a + 6*a**2 - 13*a**2 = 0. Calculate a.
-2, 1
Suppose 0*r + 4 = r. Suppose -r*c + 7 = 4*o - 5, 3 = 2*o - c. Suppose o*k**5 - 99*k**4 + 101*k**4 + 0*k**3 - k**3 - 3*k**5 = 0. Calculate k.
0, 1
Let q(o) be the second derivative of 21*o - 4/5*o**3 + 0 - 1/30*o**4 - 36/5*o**2. Find j such that q(j) = 0.
-6
Let b(x) be the first derivative of -x**6/24 + 5*x**4/24 - 2*x**2 + 3. Let m(j) be the second derivative of b(j). Factor m(i).
-5*i*(i - 1)*(i + 1)
Let f(j) be the second derivative of -j**7/1260 + j**5/15 - 4*j**4/9 - 4*j**3/3 - 3*j. Let o(b) be the second derivative of f(b). Factor o(l).
-2*(l - 2)**2*(l + 4)/3
Let h(m) = -9*m - 49 + 6 - 4 - 12. Let t be h(-7). Determine j so that 4/5*j**2 - 8/5*j**3 + 4/5*j - 2/5*j**t - 2/5 + 4/5*j**5 = 0.
-1, 1/2, 1
Let h = 19 - 14. Let f(p) = -8*p**3 - h*p - 7*p - 8*p**2 - p + p. Let n(d) = -3*d**3 - 3*d**2 - 5*d. Let k(u) = 5*f(u) - 12*n(u). Factor k(c).
-4*c**2*(c + 1)
Suppose -4*q + 25 = 13. Suppose 0*a - 2*a + q*h = -15, -6 = -3*a - h. Solve 4/3*b + 4/3*b**a - 1/3 - 2*b**2 - 1/3*b**4 = 0 for b.
1
Let m(y) = 2*y**4 - y**3 + y**2 + y - 1. Let a(f) = -127*f**4 + 114*f**3 - 9*f**2 - 11*f + 11. Let u(t) = -4*a(t) - 44*m(t). Let u(o) = 0. Calculate o.
-2/105, 0, 1
Let b be (1 + (-10)/6)*-2. Suppose 2*t - 2*w - 2 = 0, -5*w - 14 + 41 = 3*t. Factor -10*l**2 - 22/3*l**3 - 6*l - b - 2*l**t.
-2*(l + 1)**3*(3*l + 2)/3
Let b(c) be the first derivative of 2*c**6/3 - 16*c**5 + 160*c**4 - 2560*c**3/3 + 2560*c**2 - 4096*c - 224. Find o such that b(o) = 0.
4
Let i(u) be the first derivative of -u**5/24 + 5*u**4/36 + 65*u**3/36 + 25*u**2/6 + 30*u + 49. Let c(j) be the first derivative of i(j). Factor c(l).
-5*(l - 5)*(l + 1)*(l + 2)/6
Let t(r) be the first derivative of 0*r + 2*r**3 + 21/2*r**2 - 18 + 3/28*r**4. Factor t(o).
3*o*(o + 7)**2/7
Let l be 0 + -1 + -1 + 0. Let y be (-10 + 16)*l/(-4). Find p, given that -2*p**2 + 6*p**2 + y*p + 7*p**2 - 8*p**2 = 0.
-1, 0
Let r(o) = -o**3 + 17*o**2 - 76*o - 98. Let x(m) = 3*m**3 - 50*m**2 + 226*m + 293. Let b(j) = -14*r(j) - 4*x(j). Determine t, given that b(t) = 0.
-1, 10
Let x = 136 + -75. Suppose 0 = -3*r - 7 + x. Factor -27/5 + r*m - 15*m**2.
-3*(5*m - 3)**2/5
Let m(n) be the second derivative of 21 - 1/9*n**3 + 0*n**2 + 1/90*n**5 - 1/27*n**4 - n. Determine a, given that m(a) = 0.
-1, 0, 3
Factor 128000/3 - 4/3*t**5 + 256/3*t**4 - 5776/3*t**3 + 52160/3*t**2 - 147200/3*t.
-4*(t - 20)**3*(t - 2)**2/3
Let g be 292/(-365)*10/(-4). Let o be (1 + 1)*(-2)/(-3). Determine p, given that 2/3*p**2 + o - g*p = 0.
1, 2
Suppose -3*h + h = -6. Let t be (0 + 1)/(h*(-3)/(-36)). Factor 2*y**t + 0 + 1/2*y**5 + 2*y**2 + 3*y**3 + 1/2*y.
y*(y + 1)**4/2
Let l(t) be the first derivative of -t**8/11760 - t**7/2940 + t**6/840 - 17*t**3/3 + 11. Let j(h) be the third derivative of l(h). Factor j(s).
-s**2*(s - 1)*(s + 3)/7
Let x be (-30)/(-7) + 4/(-14). Factor -x*c**2 + 10*c**4 - 5*c**2 + 4 - 6*c**4 + c**2.
4*(c - 1)**2*(c + 1)**2
Let u(p) = -17*p - p**2 - 18*p + 34*p. Let y(j) be the second derivative of -2*j**3 + 2*j**2 - 3*j. Let k(n) = -4*u(n) + y(n). Factor k(t).
4*(t - 1)**2
Let b = 239 - 204. Suppose 15*j + 5 = b. Factor 14/13*g + 4/13 - 8/13*g**j.
-2*(g - 2)*(4*g + 1)/13
Factor -339/2*h + 3/2*h**3 + 171/2 + 165/2*h**2.
3*(h - 1)**2*(h + 57)/2
Let c(g) = -6*g**4 + 9*g**3 + 12*g**2 - 3*g + 3. Let m(k) = -k**5 + k**4 + k**3 + k - 1. Let j(t) = c(t) + 3*m(t). Find w, given that j(w) = 0.
-2, -1, 0, 2
Suppose -n = 4*n + 2*f + 138, 136 = -5*n - 4*f. Let j be (-5200)/n + (-2)/(-7). Factor 14*s - 17*s + 49*s**5 + 175*s**4 + j*s**3 + 68*s**2 + 11*s.
s*(s + 1)*(s + 2)*(7*s + 2)**2
Let t(b) be the first derivative of -2*b**3/9 + 2*b**2/3 + 46. Factor t(d).
-2*d*(d - 2)/3
Let j(w) be the first derivative of -w**3/3 - 72*w**2 - 5184*w + 274. Suppose j(h) = 0. What is h?
-72
Let o be 7/(-70)*-8 - 12/15. Let n(m) be the third derivative of -5/48*m**4 + 10*m**2 + 0*m + o*m**3 + 1/24*m**5 + 0. Factor n(t).
5*t*(t - 1)/2
Let t(q) = 14 - 5*q**2 - 31 - 38 + 3*q**2 + 25*q. Let z(d) = -2*d**2 + 26*d - 56. Let x(i) = 