 -4*b(y) + 6*o(y). Let q be n(-2). Let 7*x + q*x - 5*x + 2*x**2 = 0. Calculate x.
-2, 0
Let r(u) be the second derivative of -u**5/10 - 7*u**4/3 - 44*u**3/3 - 40*u**2 + 127*u. Factor r(v).
-2*(v + 2)**2*(v + 10)
Suppose -62 = -i - 2*b, -3*i + 5*i - b = 149. Let f be i/(-756)*(-2 - (2 + -1)). Factor 0 - 2/7*l**5 + f*l**2 - 2/7*l**4 + 0*l + 2/7*l**3.
-2*l**2*(l - 1)*(l + 1)**2/7
Let z(l) = -3*l**2 + 10*l + 13. Let y(h) = 4*h**2 - 10*h - 14. Let o(n) = 2*y(n) + 3*z(n). Solve o(d) = 0 for d.
-1, 11
Let w = -56 + 282/5. Let c = -35 + 37. Find l such that 0 - 4/5*l + 2/5*l**c + w*l**3 = 0.
-2, 0, 1
Let l(c) = 86*c**3 + 176*c**2 + 98*c + 10. Let g(i) = -259*i**3 - 528*i**2 - 293*i - 31. Let s(q) = 2*g(q) + 7*l(q). Suppose s(j) = 0. What is j?
-1, -2/21
Let p(f) be the third derivative of -f**6/120 + f**5/4 + 290*f**2. Factor p(v).
-v**2*(v - 15)
Let k(i) = -3*i**3 - 11*i**2 + 2*i. Let x(j) = 8*j**3 + 28*j**2 - 4*j. Let s(b) = 12*k(b) + 5*x(b). Factor s(d).
4*d*(d + 1)**2
Suppose 206*n = 212*n. Suppose 0 = 4*h + 12, c + h + n*h - 2 = 0. Suppose 8/5*i**3 + 8/5*i**4 + 0*i**2 + 2/5*i**c + 0 + 0*i = 0. Calculate i.
-2, 0
Factor 0 - 4/7*l**2 - 2/7*l**3 + 0*l.
-2*l**2*(l + 2)/7
Let p(m) = m**3 + 7*m**2. Let o be p(-7). Let n(q) be the third derivative of 0*q + 0*q**3 + q**2 + o + 1/4*q**4 + 1/20*q**5. Determine s so that n(s) = 0.
-2, 0
Let f(g) be the first derivative of g**3/21 - 6*g**2/7 - 27. Suppose f(u) = 0. Calculate u.
0, 12
Suppose 52*h + 86*h = 0. Let m = 12 - 10. Let h - 2/3*y - 1/3*y**m = 0. What is y?
-2, 0
Let r be (-34)/(-10) + -3 - (-277)/(-680). Let v = r + 141/680. Factor 1/5 - 2/5*j + 0*j**2 + 2/5*j**3 - v*j**4.
-(j - 1)**3*(j + 1)/5
Let n(r) be the third derivative of r**6/1200 + r**5/150 + r**4/48 + r**3/30 - 98*r**2. Factor n(y).
(y + 1)**2*(y + 2)/10
Let w(c) = -c**2 - 18*c - 8. Let n be w(-8). Determine f so that -n*f**2 + 218*f**3 - 252*f**4 + 5*f - f - 4*f**5 + 102*f**5 + 4*f = 0.
0, 2/7, 1
Let y(u) be the first derivative of u**4/54 - 2*u**3/27 + u**2/9 - 14*u - 13. Let z(f) be the first derivative of y(f). Factor z(d).
2*(d - 1)**2/9
Let -30*x - 9*x**2 - 6*x + 21*x**2 - 9*x**2 = 0. Calculate x.
0, 12
Suppose -35*t + 258 = 8*t. Let c(g) be the second derivative of 0 - 1/150*g**t - 1/15*g**3 + 1/50*g**5 - g + 0*g**2 + 1/60*g**4. Determine r so that c(r) = 0.
-1, 0, 1, 2
Let y(r) be the second derivative of 50*r**7/21 - 68*r**6/3 + 99*r**5/5 + 146*r**4/3 - 248*r**3/3 + 48*r**2 + 200*r. Determine w, given that y(w) = 0.
-1, 2/5, 1, 6
Let b(h) = -9*h**3 - 1271*h**2 - 108379*h - 3070625. Let k(p) = -p**3 + p**2 - p. Let t(w) = b(w) - 4*k(w). Factor t(f).
-5*(f + 85)**3
Suppose 3*n = -4*y + 48, -4 = y - 2*n - 5. Let h be 100/45 - 2/y. Factor 2/3*a**h - 1/6 + 1/2*a.
(a + 1)*(4*a - 1)/6
Let i be 7/15*(-21)/(-1470). Let l(c) be the second derivative of 2/5*c**2 + i*c**6 - 2/15*c**3 - 1/20*c**4 + 1/50*c**5 - 13*c + 0. Solve l(v) = 0 for v.
-2, 1
Let n(y) be the second derivative of 1/270*y**6 + 0*y**3 + 1/54*y**4 + 1/60*y**5 + 0 + 0*y**2 - 21*y. Solve n(t) = 0.
-2, -1, 0
Suppose 2*g - 11*g = -18. Determine i so that 11*i**g + 20*i**3 - 8*i - 26*i**3 + 5*i**2 = 0.
0, 2/3, 2
Let h(b) be the third derivative of -b**7/1365 - b**6/390 + b**4/78 + b**3/39 + 25*b**2. Find w such that h(w) = 0.
-1, 1
Determine z so that 90 + 21*z**2 + 60*z**2 + 10 + 160*z - 17*z**2 = 0.
-5/4
Let y(c) be the first derivative of 5*c**6/432 + c**5/72 + c**4/144 + 11*c**3 + 57. Let u(j) be the third derivative of y(j). Factor u(p).
(5*p + 1)**2/6
Let y(g) = 2*g**3 - 32*g**2 - 45*g + 90. Let b(v) = -3*v**3 + 33*v**2 + 45*v - 93. Let w(d) = -5*b(d) - 6*y(d). Factor w(s).
3*(s - 1)*(s + 5)**2
Let u(q) = 25*q**4 - 2305*q**3 + 30385*q**2 - 131785*q + 35. Let b(c) = 2*c**4 - 192*c**3 + 2532*c**2 - 10982*c + 3. Let p(g) = -35*b(g) + 3*u(g). Factor p(h).
5*h*(h - 13)**3
Let s be -20*(-11)/(-44) + 8. Factor -4/5*m**4 - 2/15*m**5 - 28/15*m**s - 4/15 - 6/5*m - 32/15*m**2.
-2*(m + 1)**4*(m + 2)/15
Let u(g) = g**3 + 10*g**2 - 29*g - 357. Let a be u(-8). Suppose -1/6*t**2 + 0 - 1/6*t**a + 0*t = 0. What is t?
-1, 0
Let o = 459 - 2753/6. Let a(x) be the second derivative of 0 + 2*x**2 + 1/3*x**3 - o*x**4 - 8*x. Factor a(l).
-2*(l - 2)*(l + 1)
Let h = -1969 + 1973. Let x(c) be the first derivative of -8/3*c**3 - 10/3*c**2 - 2/15*c**5 - c**h - 2*c + 1. Solve x(p) = 0 for p.
-3, -1
Factor 841/4 - 57/4*j**2 - 783/4*j - 1/4*j**3.
-(j - 1)*(j + 29)**2/4
Let h be -5*2/(-30) - 26/6. Let d be 0 - h/(-6) - (-22)/24. Determine l so that -1/4 - d*l**2 - 1/2*l = 0.
-1
Let d = 168 + -168. Let b(a) be the third derivative of -a**2 - 2/55*a**5 + 0*a**3 + d*a + 3/220*a**6 + 1/33*a**4 + 0. Solve b(l) = 0.
0, 2/3
Let k(g) be the third derivative of -g**5/420 - 8*g**4/21 - 512*g**3/21 + 392*g**2. What is f in k(f) = 0?
-32
Let i(f) = -7*f**3 + f**2 - 6*f - 6. Let u(z) = -z**3 - z - 1. Let v = 36 + -42. Let y(w) = v*u(w) + i(w). Factor y(a).
-a**2*(a - 1)
Let d(c) = -10*c**2 + 9*c**2 - 2*c - 2 + 3 + c. Let o(r) = -4*r**3 + 6*r**2 + 30*r - 22. Let w(p) = 10*d(p) + o(p). Let w(b) = 0. What is b?
-3, 1
Suppose -11*s = -8*s - 25*s + 44. Suppose -18*n**3 + 24*n**5 - 8/3*n**4 + 2/3*n + 0 - 4*n**s = 0. What is n?
-1/2, 0, 1/9, 1
Let a(z) be the second derivative of -z**6/6 - 13*z**5/4 + 20*z**4/3 + 70*z**3/3 + 94*z. Factor a(l).
-5*l*(l - 2)*(l + 1)*(l + 14)
Let j(l) = l**3 + 9*l**2 + 11*l - 17. Let h be j(-7). Factor 423 + c**2 - 18*c - 438 - h*c**2.
-3*(c + 1)*(c + 5)
Let h be (2 + -6 + -113)*4/(-6). Let w be (-14)/(-40) + -3 + h/24. Find z, given that 0*z - w*z**3 + 0*z**4 - 2/5*z**2 + 1/5*z**5 + 0 = 0.
-1, 0, 2
Let w(q) = 48050*q**2 - 1853*q + 11. Let k(s) = 24025*s**2 - 926*s + 5. Let f(x) = 7*k(x) - 4*w(x). Factor f(d).
-(155*d - 3)**2
Let a(j) be the first derivative of -5*j**3/3 + 55*j**2/2 + 60*j + 274. Factor a(v).
-5*(v - 12)*(v + 1)
Solve -7/5*a**2 - 9*a**3 + 9*a + 11/5 - 4/5*a**4 = 0 for a.
-11, -1, -1/4, 1
Let r(m) = m + 26. Let v be r(-11). Suppose -13*s + 16*s = -k + v, -4*k + 8 = -s. Suppose 0*t**k + 0*t**2 + 0 + 0*t**4 + 1/3*t**5 + 0*t = 0. Calculate t.
0
Let g(s) = -s**2 + s - 1. Let z(a) = -3*a**2 + 2*a - 7. Let v(i) = 4*g(i) - z(i). Solve v(k) = 0.
-1, 3
Let p(k) = -20*k**2 - 4*k + 8. Let n(t) = 43*t**2 + 7*t - 16. Let s(l) = 2*n(l) + 5*p(l). Factor s(q).
-2*(q + 1)*(7*q - 4)
Let w be (-120)/36*(-54)/10. Suppose -w = -4*s - 2*d, 0*s = s + 5*d. Suppose -2/3*x**s + 2/3 + 4/3*x**2 - 2*x**4 + 2*x - 4/3*x**3 = 0. Calculate x.
-1, 1
Let k(a) = -2*a**3 - 11*a**2 + 8*a + 17. Let d be k(-7). Let l = d - 320/3. Solve -2/3 + l*b - 2/3*b**2 = 0 for b.
1
Let h = -2411/77 + 346/11. Factor 6/7*x + 1/7*x**4 - 6/7*x**3 - h*x**2 + 0.
x*(x - 6)*(x - 1)*(x + 1)/7
Let i = 75 - 74. Factor -i - 3/2*a**2 + 5/2*a.
-(a - 1)*(3*a - 2)/2
Suppose 21*k - 58 - 26 = 0. Let d(g) be the third derivative of 0*g**5 + 1/280*g**6 - 6*g**2 - 3/56*g**k + 0 - 1/7*g**3 + 0*g. What is z in d(z) = 0?
-1, 2
Suppose 8*t + 7*t = -12*t - 25*t. Factor t*x + 0 + 1/2*x**3 + 1/2*x**2.
x**2*(x + 1)/2
Suppose -8*l - 4*s = -7*l - 18, -2*l - 4*s + 20 = 0. Factor 2/13*v**3 + 8/13*v**l + 10/13*v + 4/13.
2*(v + 1)**2*(v + 2)/13
Let v be ((-4)/3)/(-12 - 34/(-3)). Let d(o) be the first derivative of 10 - 1/42*o**6 - 15/14*o**4 - 46/21*o**3 - 9/35*o**5 - 9/7*o - 33/14*o**v. Factor d(q).
-(q + 1)**3*(q + 3)**2/7
Solve -58*o**2 - 504*o - 95*o**2 - 39*o**2 - 157 + 4*o**4 - 46 - 8*o**3 - 121 = 0 for o.
-3, -1, 9
Let j = -11 + 18. Let f be 0 - -1 - (j + -11). Factor -8*q**2 + 4*q**3 + 8*q**4 + 2*q**5 + 0*q**f + 0*q**5 - 8*q + 2*q**3.
2*q*(q - 1)*(q + 1)*(q + 2)**2
Let u(r) be the first derivative of -r**4/12 + 40*r**3/9 + r**2/6 - 40*r/3 + 216. Factor u(z).
-(z - 40)*(z - 1)*(z + 1)/3
Let k(s) be the third derivative of s**10/226800 - s**8/15120 + s**6/1080 - 2*s**5/15 - 2*s**2. Let u(p) be the third derivative of k(p). What is n in u(n) = 0?
-1, 1
Let f(y) be the third derivative of -y**5/105 - 3*y**4/14 - 16*y**3/21 - 8*y**2. Factor f(r).
-4*(r + 1)*(r + 8)/7
Let y(j) be the third derivative of j**5/300 - j**4/20 + j**3/6 + 24*j**2 - 11*j. Factor y(p).
(p - 5)*(p - 1)/5
Let o(w) = w**5 + 14*w**4 - 7*w**3 - 28*w**2 + 22*w. Let u(j) = -j**5 - 29*j**4 + 13*j**3 + 55*j**2 - 43*j. Let t(c) = 5*o(c) + 2*u(c). Let t(z) = 0. What is z?
-4, -2, 0, 1
Suppose 2