ve x(u) = 0 for u.
-3, -2
Determine n so that 6/11*n**2 + 0 + 2/11*n**3 + 4/11*n = 0.
-2, -1, 0
Let p(u) = 3*u**2 + 325*u - 3517. Let t(y) = -y**2 - 81*y + 879. Let m(c) = 6*p(c) + 22*t(c). Factor m(v).
-4*(v - 21)**2
Let w(a) be the third derivative of 0*a - 1/80*a**5 - 1/2*a**4 + a**2 + 0 - 8*a**3. Factor w(u).
-3*(u + 8)**2/4
Suppose 58 + 14 = 4*h. Suppose 2*o - 3*k = h, 4*k + 1 - 69 = -5*o. Factor c**2 - 5*c**2 + o*c + 2*c**2 - 18.
-2*(c - 3)**2
Let c be ((-16)/(-320))/((-22)/10 + 3). Let a(p) be the second derivative of -1/12*p**3 - c*p**4 + 4*p - 1/80*p**5 + 0 + 0*p**2. Suppose a(s) = 0. Calculate s.
-2, -1, 0
Let v(z) = z**3 - 10*z**2 + z - 10. Let o be v(10). Let l(w) = 11*w**2 - 74*w - 17. Let u be l(7). Factor -4/7*q + 8/7*q**3 + 0*q**u - 4/7*q**5 + 0*q**2 + o.
-4*q*(q - 1)**2*(q + 1)**2/7
Let n(y) be the first derivative of -5/8*y**2 - 23 - 1/3*y**3 - 1/2*y - 1/16*y**4. Factor n(h).
-(h + 1)**2*(h + 2)/4
Let q(z) be the first derivative of 4*z**5/25 + 8*z**4/5 + 28*z**3/5 + 44*z**2/5 + 32*z/5 - 55. Factor q(m).
4*(m + 1)**2*(m + 2)*(m + 4)/5
Let h = 5001 - 4999. Factor 6/5*c + 0 + 4/5*c**h - 2*c**3.
-2*c*(c - 1)*(5*c + 3)/5
Let d(j) = 27*j - 594. Let l be d(22). Factor -3/4*u + 3/4*u**3 + 0*u**2 + l.
3*u*(u - 1)*(u + 1)/4
Suppose 3*q - 7 + 4 = 0, -4*c + 3 = 3*q. Let h(z) be the first derivative of 2 - 1/12*z**2 + 1/18*z**3 + c*z. Factor h(x).
x*(x - 1)/6
Let l(w) be the first derivative of -w**4/20 + 33*w**3/5 - 3267*w**2/10 + 35937*w/5 - 16. Solve l(y) = 0 for y.
33
Solve 2/7*c**2 - 2/7*c**3 + 30/7 + 34/7*c = 0 for c.
-3, -1, 5
Let j be (((-32)/(-140))/(-8))/(24/(-14)). Let b(o) be the third derivative of 0*o + 0 - j*o**5 - 1/24*o**4 + 1/3*o**3 + o**2. What is l in b(l) = 0?
-2, 1
Let a = -910 - -4554/5. Factor 1/2*y**2 - 1/10*y**3 - a*y + 2/5.
-(y - 2)**2*(y - 1)/10
Let y(j) be the third derivative of -j**5/160 + 7*j**4/8 - 49*j**3 - 160*j**2. Factor y(h).
-3*(h - 28)**2/8
Let i = 70 - 131/2. Suppose 3*d - i*d**2 - 1/2 = 0. Calculate d.
1/3
Let k(w) be the third derivative of w**7/315 + w**6/36 + 2*w**5/45 + 52*w**2 + 3*w. Factor k(z).
2*z**2*(z + 1)*(z + 4)/3
Suppose -30 = -26*j + 21*j. Suppose -16 = -4*i + v, 2*i + 4*v = 3*i - 4. Factor -n**5 - 6*n**2 - n**5 + 2*n**2 + j*n**4 - i*n**2.
-2*n**2*(n - 2)**2*(n + 1)
Let m(s) be the second derivative of -1/45*s**6 + 0*s**2 + 3*s - 1/120*s**5 + 0 + 1/84*s**7 + 0*s**3 + 1/36*s**4. Let m(g) = 0. What is g?
-2/3, 0, 1
Suppose -8*h - 2 = 4*j - 3*h, -5*h = 3*j + 4. Let w be (-10)/(-4) + 52 + -54. Factor -j + 2*b - w*b**2.
-(b - 2)**2/2
Let c(z) be the first derivative of -z**6/57 + 4*z**5/95 + 3*z**4/38 - 16*z**3/57 + 4*z**2/19 + 146. Suppose c(p) = 0. What is p?
-2, 0, 1, 2
Let s(k) = k**4 + k**2 + k + 1. Let f(z) = -2*z**4 - 73*z**2 + 0*z**4 + 9*z**4 - 83*z - 15*z**3 - 28. Let o(a) = f(a) - 2*s(a). Find p, given that o(p) = 0.
-1, 6
Let d(x) be the second derivative of -1/84*x**4 + 0*x**2 - 8*x + 0 + 1/42*x**3. Factor d(r).
-r*(r - 1)/7
Let s = 27 + -11. Suppose s = 2*p + 6. Determine l so that 26*l**2 - 7*l + 3*l - p*l**3 - 2*l**3 - 16*l - 8 = 0.
-2/7, 2
Let d = 1161 - 1152. Solve 3 - d*t + 39/4*t**2 - 9/2*t**3 + 3/4*t**4 = 0 for t.
1, 2
Find t, given that t**4 - 36*t + 33*t**2 - 23*t**2 - 2*t**2 + 65*t**2 - 38*t**3 = 0.
0, 1, 36
Factor -5/4*f + 3/4*f**4 + 21/4*f**2 - 19/4*f**3 + 0.
f*(f - 5)*(f - 1)*(3*f - 1)/4
Determine v, given that 23 + 45*v**2 + 21*v + 5*v**3 + 34*v - 5*v**4 - 3 = 0.
-1, 4
Let u = -54 + 56. Let m(l) be the first derivative of 9/10*l**u + 2/5*l + 4/15*l**3 - 1. Factor m(v).
(v + 2)*(4*v + 1)/5
Let r(z) = -15*z**4 + z**3 + z**2 - 8*z. Let d(s) = -7*s + 11*s**4 + 5*s + 6*s - 3*s**4. Let h(y) = -7*d(y) - 4*r(y). Factor h(u).
4*u*(u - 1)**2*(u + 1)
Let u = -2706 - -2709. Let y(r) be the second derivative of 10*r + 2/9*r**u + 0 - 1/18*r**4 - 1/3*r**2. Determine k so that y(k) = 0.
1
Let w be 24/312 + ((-31)/(-104))/((-6)/(-6)). Solve 3/4*o**2 + 0 + w*o + 3/8*o**3 = 0.
-1, 0
Let g(d) = d**3 + 3*d**2 - 4*d. Let v be g(-4). Let n = -61 - -63. Solve v - 2/5*k**3 - 8/5*k**n - 8/5*k = 0.
-2, 0
Let x(s) be the third derivative of -s**6/300 + 4*s**5/75 - 4*s**4/15 - 791*s**2. Suppose x(l) = 0. What is l?
0, 4
Let l(t) be the first derivative of -t**4 - 4*t**3/3 + 16*t**2 + 48*t + 14. Suppose l(y) = 0. Calculate y.
-2, 3
Let d be ((-10)/(-4))/((-5)/(-4)). Suppose 13*w = 12*w + d. Factor 1/4*h**4 + 1/4 + 0*h**3 + 0*h - 1/2*h**w.
(h - 1)**2*(h + 1)**2/4
Let s(n) be the first derivative of 4*n**5/35 - 2*n**4 + 60*n**3/7 - 104*n**2/7 + 80*n/7 + 33. Determine x so that s(x) = 0.
1, 2, 10
Let f(y) be the second derivative of -7*y + 0*y**2 + 1/160*y**5 - 1/240*y**6 + 1/96*y**4 - 1/48*y**3 + 0. Find l such that f(l) = 0.
-1, 0, 1
Let d(s) be the third derivative of s**5/210 - s**4/12 - 8*s**3/21 + 163*s**2. Suppose d(t) = 0. What is t?
-1, 8
Let p(r) be the second derivative of -1/30*r**4 + 1/10*r**2 - 1/15*r**3 + 1/150*r**6 - 1/105*r**7 + 11*r + 0 + 1/25*r**5. Determine i so that p(i) = 0.
-1, 1/2, 1
Let u = -29 + 175/6. Let i(a) be the first derivative of u*a**4 + 0*a - 1/2*a**2 + 5/9*a**3 + 2. Determine j so that i(j) = 0.
-3, 0, 1/2
Suppose -4*i - 5*y + 15 = 0, 3*i - 5*y + 12 = -3. Suppose 3*f**2 + 2/5*f + i = 0. Calculate f.
-2/15, 0
Let j(g) = -4*g**4 + 15*g**3 + 3*g**2 - 16*g. Suppose -5*w - 24 + 4 = 0. Let n(z) = 4*z**4 - 16*z**3 - 4*z**2 + 16*z. Let m(f) = w*j(f) - 3*n(f). Factor m(t).
4*t*(t - 2)**2*(t + 1)
Let w(s) be the third derivative of -s**7/70 - s**6/2 - 19*s**5/20 + 57*s**2. Solve w(u) = 0.
-19, -1, 0
Let s(a) = -a**4 + a**2 - 2. Let d(q) = -8*q**4 + 2*q**3 + 10*q**2 - 12. Let t(m) = -d(m) + 6*s(m). Determine b so that t(b) = 0.
-1, 0, 2
Let x(p) = -6*p - 4. Suppose -2*q - k = 0, -q + 3*k - 10 = -3. Let w be x(q). Suppose -1/4*m**w + 0 + 1/2*m = 0. Calculate m.
0, 2
Solve -644*n**3 + 166375/4 - 130075/4*n - 8415*n**2 - 16*n**4 = 0.
-55/4, 1
Let a(n) = 2*n**2 + 6*n. Let o be a(-4). Let v be o/28 - 38/(-14). Factor s**2 + 3*s**3 - 4*s + s**2 - s**v.
2*s*(s - 1)*(s + 2)
Let h(t) be the second derivative of 2*t**6/45 + 2*t**5/15 - t**4/9 - 4*t**3/9 - 114*t. Factor h(m).
4*m*(m - 1)*(m + 1)*(m + 2)/3
Suppose 140*a**2 - 47*a**4 - 12*a - 42*a**4 - 44*a**4 + 32*a**3 + 117*a**4 - 144 = 0. What is a?
-3/2, 1, 4
Suppose -6 - 12 = 5*d + 4*k, 3*d - 3*k = 0. Let q be (d/(-7))/(7/((-49)/(-12))). Factor -3/2 - q*j**2 + j.
-(j - 3)**2/6
Let c(o) be the first derivative of 13/20*o**4 + 12 - 1/25*o**5 - 64/5*o - 4*o**3 + 56/5*o**2. Solve c(l) = 0.
1, 4
Let c be (-27)/(-63) - 54/(-168). Factor c*p + 0 + 3/4*p**2.
3*p*(p + 1)/4
Let h(b) be the first derivative of -2*b**3/9 + 13*b**2/3 + 28*b/3 - 115. Factor h(m).
-2*(m - 14)*(m + 1)/3
Factor 3/5*g**2 + 159/5*g - 162/5.
3*(g - 1)*(g + 54)/5
Let m be 6 - (-14 + -28)*(-2)/20. Let i(q) be the second derivative of -m*q**2 - 7*q + 0 - 1/30*q**4 - 2/5*q**3. Factor i(o).
-2*(o + 3)**2/5
Let v(z) = z**2 - 4. Let m(x) = 3*x**3 + 70*x**2 - 141*x + 56. Let k(j) = -m(j) + 4*v(j). Factor k(l).
-3*(l - 1)**2*(l + 24)
Factor -1/3*m**4 + 4/3*m + 1/3*m**2 + 0 - 4/3*m**3.
-m*(m - 1)*(m + 1)*(m + 4)/3
Let l be (-2 - -1)*(-28 - -4). Suppose 12*d - l*d = -12. Solve -d + 1/3*o**2 - 2/3*o = 0.
-1, 3
Let q(u) be the first derivative of u**4/2 + 4*u**3/3 - 57. What is v in q(v) = 0?
-2, 0
Factor 4/7*s**3 + 0 - 16/7*s**2 - 48/7*s.
4*s*(s - 6)*(s + 2)/7
Factor 0*h**4 + 0 + 5/3*h**5 - 10/3*h**2 + 0*h - 5*h**3.
5*h**2*(h - 2)*(h + 1)**2/3
Let q(x) be the first derivative of -x**9/42 + x**8/56 + 3*x**7/280 - x**6/120 + x**3/3 - 4. Let n(i) be the third derivative of q(i). Let n(z) = 0. What is z?
-1/3, 0, 1/4, 1/2
Find y, given that -4/5*y**4 - 9/5*y**2 + 0 + 0*y + 13/5*y**3 = 0.
0, 1, 9/4
Let a = 11 + -7. Let o = 22315/9 - 2419. Factor -864*c**3 - o*c + 162*c**a + 1458*c**5 + 32/9 + 368*c**2.
2*(c + 1)*(9*c - 2)**4/9
Let q be (-13 - -6) + 8 + 1. Let x(y) be the second derivative of 1/4*y**4 + 0 - 2*y - 9/2*y**q + y**3. Factor x(w).
3*(w - 1)*(w + 3)
Let p(t) be the first derivative of t**5/270 + 5*t**4/108 + 2*t**3/9 - 23*t**2/2 - 4. Let r(x) be the second derivative of p(x). Suppose r(q) = 0. Calculate q.
-3, -2
Suppose 7*g - 2*g + 4*p = 22, 2*p = -4. Suppose -5*a = g - 36. Determine f, given that -a*f + f**3 + f**3 + 7*f + f**3 - 4*f**2 = 0.
0, 1/3, 1
Let x = -3