69 = 0. What is k?
-2, -1, 0, 8
Let h(p) be the third derivative of 0*p + 0*p**3 + 0 + 15*p**2 + 1/72*p**4 - 1/360*p**5. Factor h(u).
-u*(u - 2)/6
Let z(c) be the first derivative of 4*c**2 - 10 + 0*c + 12/5*c**5 + 8*c**3 + 1/3*c**6 + 13/2*c**4. Let z(g) = 0. Calculate g.
-2, -1, 0
Suppose -18*v + 25 = -13*v. Let i(r) be the second derivative of 1/60*r**v - 5/36*r**4 - 2*r + 0 + 1/6*r**3 + 3/2*r**2. Suppose i(a) = 0. What is a?
-1, 3
Let i(c) be the first derivative of -c**5/4 - 5*c**4/8 + 5*c**3/12 + 5*c**2/4 - 28. Suppose i(q) = 0. Calculate q.
-2, -1, 0, 1
Factor 0*s**2 + 70/13*s**3 - 2/13*s**4 + 0 + 0*s.
-2*s**3*(s - 35)/13
Suppose -3*l - 3*g = 2*l - 12, -l - 8 = -2*g. Let i be (-4 + 2 + 1)*l. Solve -n + 3*n**3 - n**5 - n**3 + i*n**5 = 0 for n.
-1, 0, 1
Let l be (0 - 5)*2*2/(-5). Let o(i) be the third derivative of -i**2 + 0*i**3 + 0 + 1/360*i**6 + 0*i**5 + 0*i - 1/72*i**l. Factor o(s).
s*(s - 1)*(s + 1)/3
Let m(r) = 155*r**4 + 2375*r**3 + 13355*r**2 + 90. Let t(x) = -7*x**4 - 108*x**3 - 607*x**2 - 4. Let a(u) = 2*m(u) + 45*t(u). Factor a(d).
-5*d**2*(d + 11)**2
Suppose -5*i = 2*r - 9, -2*i + 7*i - 5*r - 30 = 0. Factor -3*g**2 - 2*g**2 - 3*g**3 - g**2 - 6*g**i - 3*g**4.
-3*g**2*(g + 1)*(g + 2)
Suppose 2*q + 3*f = -84 + 75, 0 = -2*q + f + 11. Factor 3/2*y + 0 - 7/2*y**2 - 1/2*y**4 + 5/2*y**q.
-y*(y - 3)*(y - 1)**2/2
Let c = 11137 - 11134. Factor -q**c + 0*q + 1/2*q**4 + 0*q**2 + 0.
q**3*(q - 2)/2
Let l(b) be the third derivative of b**7/105 - b**6/15 + 2*b**5/15 - 35*b**2. Let l(q) = 0. What is q?
0, 2
Let t be (6 + 464/(-80))*(-60)/(-14). What is s in 8/7*s**2 + t*s + 0 + 2/7*s**3 = 0?
-3, -1, 0
Let v(z) = 5*z**2 - 4*z - 49. Let i(m) = 6*m**2 - 4*m - 50. Let h(x) = 4*i(x) - 5*v(x). Solve h(u) = 0.
-5, 9
Let p(w) be the third derivative of -w**7/22680 - w**6/810 - 2*w**5/135 + 5*w**4/24 - 11*w**2. Let t(h) be the second derivative of p(h). What is r in t(r) = 0?
-4
Let d = -2/89 - -366/445. Suppose 42*f - 165*f = 0. What is b in 0*b + 2/5*b**2 + f - d*b**3 + 2/5*b**4 = 0?
0, 1
Let f = -164 + 232. Factor -f + d**4 - 108*d + 41*d**2 + 13*d**2 - 12*d**3 + 149.
(d - 3)**4
Solve 24 - 2/7*d**3 + 202/7*d + 32/7*d**2 = 0.
-4, -1, 21
Let z be (-2)/(-31) - 5050/(-18786). Suppose 1/3*t + 0 + z*t**2 - 1/3*t**4 - 1/3*t**3 = 0. What is t?
-1, 0, 1
Suppose 2/3*m**2 + 0 + 4/3*m**3 - 2/3*m**4 - 4/3*m**5 + 0*m = 0. Calculate m.
-1, -1/2, 0, 1
Let r(n) be the first derivative of n**6/24 + 3*n**5/10 + n**4/2 - n**3/2 - 9*n**2/8 + 51. Find b, given that r(b) = 0.
-3, -1, 0, 1
Let l(v) be the second derivative of -v**4/16 - 7*v**3/2 + 13*v. Factor l(w).
-3*w*(w + 28)/4
Let t(n) be the first derivative of n**4/6 - 2*n**3/9 - 8*n**2 - 24*n - 295. Solve t(u) = 0.
-3, -2, 6
Let g = 11 - 9. Factor 48*l - l**g - 3*l**2 - 186 + 42.
-4*(l - 6)**2
Let s be (-8)/(-2)*(-1)/(-2). Determine y, given that y**2 - 2*y**2 - y**s + 3*y**4 - y**2 = 0.
-1, 0, 1
Let n(s) be the first derivative of s**4 + 104*s**3/3 + 338*s**2 - 208. Determine m so that n(m) = 0.
-13, 0
Let d(s) be the second derivative of -s**6/60 + s**5/30 - 9*s**2/2 - 10*s. Let b(c) be the first derivative of d(c). Factor b(v).
-2*v**2*(v - 1)
Let l(y) be the third derivative of -y**6/240 - 9*y**5/40 - 35*y**2 - 5. Solve l(m) = 0.
-27, 0
Let h = -24 - -27. Suppose 0 = -h*z + 12, -5*n - 5*z + 23 = -3*z. Suppose -n*d**3 + 2*d**3 - 2*d**2 + 2*d**3 + d**2 = 0. Calculate d.
0, 1
Let w = -56 + 0. Let k = w + 60. Factor 2/11*z**k - 4/11*z**3 + 2/11*z**2 + 0*z + 0.
2*z**2*(z - 1)**2/11
Suppose -12274/3*v - 1156 - 1432/9*v**2 - 14/9*v**3 = 0. Calculate v.
-51, -2/7
Let i(k) = 9*k**2 - 9*k - 7. Let d = -13 - -15. Let y(x) = -6 + 5*x**d - 5*x + 4 - 2. Let w(g) = 4*i(g) - 7*y(g). Let w(s) = 0. Calculate s.
0, 1
Find z, given that -211*z + 509*z + 2*z**3 + 24*z**2 + 20 - 256*z = 0.
-10, -1
Let u(t) = 7*t**2 + 8*t + 6. Let o be u(-3). Suppose 49 = 5*p - m, o = 4*p + 2*m + 3*m. Let -2 - 25/2*s**2 - p*s = 0. Calculate s.
-2/5
Let c(x) be the second derivative of -x**6/60 - x**5/9 - x**4/9 + x**3/2 + 20*x. Let a(p) be the second derivative of c(p). Factor a(j).
-2*(j + 2)*(9*j + 2)/3
Let k(s) = 8*s**2 - 8. Let y(g) = -7*g**2 + 7. Let z(j) = j**2 + 25*j - 31. Let m be z(-26). Let i(a) = m*k(a) - 6*y(a). Solve i(c) = 0.
-1, 1
Let f(l) be the first derivative of -l**6/2 - 3*l**5/5 + 3*l**4/2 + 2*l**3 - 3*l**2/2 - 3*l - 228. Solve f(k) = 0 for k.
-1, 1
Let w(x) be the first derivative of x**7/420 + x**6/60 + x**5/20 + x**4/12 - 7*x**3/3 + 9. Let k(l) be the third derivative of w(l). Solve k(s) = 0 for s.
-1
Let y(q) = q**2 - q - 1. Let u(v) = -3*v**2 - 27*v - 97. Let x(l) = u(l) + y(l). Find r, given that x(r) = 0.
-7
Let f = -2 - -3. Let h(p) = -2*p**3 + 13*p**2 + 8*p + 4. Let m be h(7). Solve 1 + f + 1 + 5*y - m*y**2 + 3*y**3 = 0.
-1/3, 1, 3
Factor n**3 - 7/6*n - 1/3*n**2 + 5/6*n**4 - 1/2 + 1/6*n**5.
(n - 1)*(n + 1)**3*(n + 3)/6
Factor -60 + 48*v**2 - 5*v - 88*v**2 + 45*v**2.
5*(v - 4)*(v + 3)
Determine d, given that 64/3*d**2 + 2/9*d**5 + 104/9*d**3 + 8/3*d**4 + 0 + 128/9*d = 0.
-4, -2, 0
Solve -22/5*p**3 - 2/5*p**4 - 104/5*p - 76/5*p**2 - 48/5 = 0.
-6, -2, -1
Let b(q) = -q**3 - q - 2. Let g be b(-2). Suppose s + 14 = g*s. Solve -2/3*c**s - 5/3*c**3 + 7/3*c**4 + 0 + 0*c = 0.
-2/7, 0, 1
Let l(s) be the second derivative of 0 - 1/54*s**4 - 10*s + 2/27*s**3 + 0*s**2. Find z such that l(z) = 0.
0, 2
Let j(q) be the second derivative of 2*q**5/45 + q**4/18 - 121*q**3/27 + 10*q**2/3 - 37*q - 3. Factor j(a).
2*(a - 5)*(a + 6)*(4*a - 1)/9
Let t(x) = -17*x**2 - 9 + 4*x + 9*x**2 + 13*x**2. Let o(k) = -5*k**2 - 5*k + 10. Let n(w) = 4*o(w) + 5*t(w). Factor n(u).
5*(u - 1)*(u + 1)
Let g = -1488 - -7443/5. Solve 0*j + 0 - 3/5*j**4 + 0*j**3 + g*j**2 = 0.
-1, 0, 1
Factor 0*h - 16/5*h**2 + 0 + 1/5*h**3.
h**2*(h - 16)/5
Let l(d) = 3*d**2 - 6*d + 2. Let f be (87/(-116))/(-3*2/16). Let b be l(f). Find x such that 0*x + 0 - 4/3*x**3 + 2/3*x**4 + 2/3*x**b = 0.
0, 1
Factor -1445 - 34*b - 1/5*b**2.
-(b + 85)**2/5
Suppose 0 = -99*t - 25 + 25. Let z(i) be the third derivative of 0 - 13/144*i**4 + 1/18*i**5 - 1/80*i**6 + 1/18*i**3 + t*i + 11*i**2. Solve z(s) = 0 for s.
2/9, 1
Let s = 9060 - 9060. Factor -14/9*g**4 + 0 + 2/9*g**3 + 0*g + s*g**2.
-2*g**3*(7*g - 1)/9
Let x(y) be the third derivative of -y**7/840 + 3*y**6/160 - y**5/12 + y**4/8 + 200*y**2. What is p in x(p) = 0?
0, 1, 2, 6
Let a(w) = -w. Let o be a(4). Let g be (-40)/12 + o + 8. Determine f, given that 2/9*f**2 + g*f**3 - 4/9*f + 0 = 0.
-1, 0, 2/3
Let w(q) be the third derivative of -q**7/70 - 113*q**6/40 - 2109*q**5/10 - 12635*q**4/2 + 27436*q**3 - q**2 - 60*q. Factor w(s).
-3*(s - 1)*(s + 38)**3
Determine v, given that -14/17*v + 2/17*v**2 + 20/17 = 0.
2, 5
Let g(s) be the second derivative of -13/100*s**5 + 11*s + 1/10*s**4 - 1/30*s**6 + 0*s**2 + 0 + 0*s**3. What is r in g(r) = 0?
-3, 0, 2/5
Let -43/4*k**3 - 141/4*k**2 - 5/2 - 93/4*k + 15/4*k**4 = 0. Calculate k.
-1, -2/15, 5
What is n in 2/11*n**4 + 34/11*n**3 + 0*n + 0*n**2 + 0 = 0?
-17, 0
Let x be -2 - -1*(0 + 14). Let v be ((-16)/12)/((-2)/x). Determine g so that -7*g + v*g**2 + g + 12*g**3 - 29*g**2 = 0.
-1/4, 0, 2
Let j(z) = 6*z**3 - 50*z**2 - 46*z + 106. Let i(c) = -21 + 17*c**2 - 38*c**3 - 7*c**2 + 37*c**3 + 9*c. Let m(v) = 16*i(v) + 3*j(v). Solve m(d) = 0 for d.
-3, 1
Let k(v) = 15*v**4 - 26*v**3 - 28*v**2 + 2*v - 5. Let c(f) = -f**4 - f**3 - f**2 - 3*f - 1. Let d(j) = -6*c(j) + k(j). Factor d(m).
(m - 1)**2*(m + 1)*(21*m + 1)
Suppose -4*q + 6 = -q. Suppose q*g - 46 - 84 = 0. Let 759*z - g*z**4 + 30*z**3 - 25*z**5 - 759*z = 0. Calculate z.
-3, 0, 2/5
Let h(r) be the second derivative of -11/6*r**3 + r**2 + 25*r + 1/10*r**6 - 13/20*r**5 + 0 + 19/12*r**4. Factor h(m).
(m - 2)*(m - 1)**2*(3*m - 1)
Let w(h) be the third derivative of 1/840*h**8 + 0*h**7 - 1/100*h**6 + 0*h**3 + 1/75*h**5 + 0*h**4 + 0*h + 0 + 17*h**2. Determine b so that w(b) = 0.
-2, 0, 1
Let u(j) be the second derivative of j**4/12 + 10*j**3/3 + 19*j**2/2 - 146*j. Factor u(m).
(m + 1)*(m + 19)
Let o(d) = -12*d**4 + 12*d**3 + 6*d**2 - 27*d + 21. Let l(f) = -3*f**4 + 3*f**3 + 2*f**2 - 7*f + 5. Let i(q) = -21*l(q) + 5*o(q). Suppose i(r) = 0. What is r?
-2, 0, 1, 2
Let w = -3676/5 - -736. Factor -1/5*a**4 - a**2 + w*a**3 + 0 + 2/5*a.
-a*(a - 2)*(a - 1)**2/5
Suppose -5*g