ive of -6 + 1/16*m**4 + 0*m**2 + w*m**3 + 0*m. Suppose o(n) = 0. What is n?
0
Let q(y) be the third derivative of y**7/420 + y**6/16 - y**5/120 - 5*y**4/16 - y**2 - 22*y. Factor q(g).
g*(g - 1)*(g + 1)*(g + 15)/2
Suppose -8*y = -9*y + 2. Suppose -l + c + 5 = -1, -y*l + 16 = -3*c. Find w such that 6*w**4 - 3*w**4 - 5*w**5 + l*w**4 = 0.
0, 1
Let g = -8207/5 + 1642. Let o(w) be the second derivative of -2/27*w**3 - 1/7*w**7 - g*w**6 + 0*w**2 - 19/54*w**4 + 10*w + 0 - 7/10*w**5. Factor o(f).
-2*f*(f + 2)*(3*f + 1)**3/9
Suppose 60*l**3 - 136*l**2 - 7*l**4 + 4*l**2 + 300*l + 2*l**4 - 125 - 98*l**2 = 0. Calculate l.
1, 5
Let j(g) be the second derivative of g**6/288 - 5*g**4/96 - 5*g**3/3 - 8*g. Let b(n) be the second derivative of j(n). Factor b(s).
5*(s - 1)*(s + 1)/4
Let q(t) = 3*t**3 - 7*t**2 + 4*t - 5. Let w(l) = -l**2 + 1. Let n(p) = p**3 + p**2 + 2*p - 6. Let j(f) = n(f) + 4*w(f). Let v(b) = 5*j(b) - 2*q(b). Factor v(k).
-k*(k - 1)*(k + 2)
Let t(l) be the third derivative of 1/60*l**5 - 16*l**2 + 0 + 0*l + 1/360*l**6 + 0*l**4 - 2/9*l**3. Factor t(f).
(f - 1)*(f + 2)**2/3
Let t(x) be the third derivative of -x**7/15 + 13*x**6/30 - 9*x**5/10 + x**4/3 + 4*x**3/3 - 159*x**2. What is v in t(v) = 0?
-2/7, 1, 2
Let c be ((-4)/(-10))/(-2*12/(-120)). Let s(i) be the first derivative of 0*i + 0*i**3 + 2/3*i**c - 10 - 1/15*i**5 - 1/4*i**4. Determine d so that s(d) = 0.
-2, 0, 1
Let y(n) = n**4 - n**3 + n**2 - n - 1. Let k(c) = c**5 + 18*c**4 + 187*c**3 + 698*c**2 + 1192*c + 652. Let h(s) = k(s) + 4*y(s). Find t, given that h(t) = 0.
-6, -3, -1
Let n(g) = -g**2 + 1. Let b be n(-1). Suppose b = -5*y + z - 1, 5*y - 4 = -4*z. What is t in y + 1/2*t**2 - 1/2*t = 0?
0, 1
Let r be (-1*(-83)/15)/(36/(-1020)). Let s = r - -157. Suppose 2/9*d**5 + 0 + 4/9*d**2 + 0*d**3 - s*d - 4/9*d**4 = 0. What is d?
-1, 0, 1
Let f(v) = -2*v**3 - 10*v**2 + 18*v + 48. Let q(j) = -5*j**3 - 29*j**2 + 55*j + 144. Let o(z) = 7*f(z) - 2*q(z). Solve o(i) = 0 for i.
-3, -2, 2
Factor 124*m - 4*m**4 - 162*m + 226*m + 2*m**4 - 188*m**3 + 186 - 184*m**2.
-2*(m - 1)*(m + 1)**2*(m + 93)
Let n be (-28)/(-11) - 1092/2002. Find c, given that -2/5*c**5 - 8/5*c**4 + 0*c - n*c**3 - 4/5*c**2 + 0 = 0.
-2, -1, 0
Let i(w) = -4*w**4 + 28*w**3 + 4*w. Let k(m) = 4*m**4 - 29*m**3 - 3*m. Let q(o) = -3*i(o) - 4*k(o). Factor q(y).
-4*y**3*(y - 8)
Let j = -3349 - -3351. Factor -3*f**2 - 5/2*f**3 - 1/2*f**4 + 4 + j*f.
-(f - 1)*(f + 2)**3/2
Let m(l) be the first derivative of l**9/1512 + l**8/420 - l**7/140 - 2*l**6/45 - l**5/15 + 8*l**3/3 + 5. Let b(q) be the third derivative of m(q). Factor b(f).
2*f*(f - 2)*(f + 1)**2*(f + 2)
Factor -5488 - 21*j**2 + 1/4*j**3 + 588*j.
(j - 28)**3/4
Let g = -12/17 - -41/34. What is z in 1/4*z**2 + 3/4*z + g = 0?
-2, -1
Let t be (-38)/475 - (-156)/75. Factor 0*h + 0 + 6/13*h**t + 2/13*h**3.
2*h**2*(h + 3)/13
Suppose d - 507 = 3*t - 522, 0 = -4*t + 5*d + 31. Factor -j**2 + 4/5 + 2/5*j**t - 1/10*j**5 + 2/5*j - 1/10*j**3.
-(j - 2)**3*(j + 1)**2/10
Suppose -2*a + a**2 - 10*a**2 + 5*a**2 - 16*a**2 = 0. What is a?
-1/10, 0
Factor 101/10*z - 1/10*z**2 + 0.
-z*(z - 101)/10
Let j(k) be the first derivative of -k**7/420 - k**6/240 + k**5/60 - 9*k**2/2 - 5. Let i(m) be the second derivative of j(m). Factor i(r).
-r**2*(r - 1)*(r + 2)/2
Let -40 - 94*w + 582*w - 36*w**2 - 300*w = 0. What is w?
2/9, 5
Suppose 710*s**2 - 420*s - 790*s**2 - 389 - 5*s**3 - 331 = 0. Calculate s.
-6, -4
Let d = 16 - 11. Let r(f) = f - 3. Let u be r(d). Factor h**2 + 2*h**3 - 1 + h**4 - h**2 + u*h - 4*h.
(h - 1)*(h + 1)**3
Let z(g) = 7*g**2 - 119*g - 242. Let w(o) = 16*o**2 - 237*o - 486. Let v(t) = -6*w(t) + 13*z(t). Determine p so that v(p) = 0.
-23, -2
Let z(u) be the third derivative of -u**5/60 + u**4/24 + u**3/6 + 5*u**2. Let m(s) = -s - 1. Let c(a) = -5*m(a) - 5*z(a). Factor c(l).
5*l**2
Let h(b) be the first derivative of 2*b**3/33 + 15*b**2/11 - 152*b/11 - 183. Factor h(y).
2*(y - 4)*(y + 19)/11
Let f = 5516/3 - 1837. Let n(j) be the first derivative of 9 + 9/16*j**4 + 13/8*j**2 - 1/2*j - f*j**3. Suppose n(v) = 0. Calculate v.
2/9, 1
Let f be ((-5)/(-3)*-2*-9)/2. Suppose 0 = 20*o - f*o - 10. Factor -o*h**4 + 2/3 + 2*h - 4/3*h**3 + 4/3*h**2 - 2/3*h**5.
-2*(h - 1)*(h + 1)**4/3
Factor 3/7*b**2 - 30/7*b + 27/7.
3*(b - 9)*(b - 1)/7
Let o(s) = -s**3 - 11*s**2 - 8*s + 23. Let h be o(-10). Let f(v) be the second derivative of 0 - v**h + 3/2*v**2 - 4*v + 1/4*v**4. Let f(l) = 0. Calculate l.
1
Suppose -t - 5*o - 13 = -4*o, 75 = -5*t + 5*o. Let u be (0 - -2) + 3 + 40/t. Factor 0 - 12/7*f**3 + 3/7*f**4 + u*f**2 - 6/7*f.
3*f*(f - 2)*(f - 1)**2/7
Let z(j) be the third derivative of -j**7/168 + 13*j**6/96 - 55*j**5/48 + 125*j**4/32 - j**2 + 11. Factor z(n).
-5*n*(n - 5)**2*(n - 3)/4
What is f in 112/5*f**3 + 2/5*f**5 - 108/5 + 54*f - 24/5*f**4 - 252/5*f**2 = 0?
1, 2, 3
Let g be (-636)/(-351) + -1 + (-2)/(-26). Let -4/3*v**3 + 0 + 8/9*v**4 - 2/9*v + g*v**2 - 2/9*v**5 = 0. Calculate v.
0, 1
Let y(q) be the second derivative of q**4/12 + 14*q**3/3 + 98*q**2 + 11*q + 4. Determine a so that y(a) = 0.
-14
Let a(r) be the second derivative of 0 + 5/2*r**3 - 3/20*r**5 + 0*r**2 - 5*r + r**4. Factor a(j).
-3*j*(j - 5)*(j + 1)
Let f(t) be the third derivative of -t**8/336 + 4*t**7/105 - 11*t**6/60 + 2*t**5/5 - 3*t**4/8 + 373*t**2. Factor f(j).
-j*(j - 3)**2*(j - 1)**2
Let w(s) be the third derivative of s**6/72 - s**5/40 - s**4/12 + 7*s**3/6 - 2*s**2. Let p(m) be the first derivative of w(m). Solve p(t) = 0 for t.
-2/5, 1
Let o(k) be the third derivative of -k**7/1260 + k**6/720 + k**5/120 - 5*k**4/144 + k**3/18 + 417*k**2 - 2*k. Factor o(z).
-(z - 1)**3*(z + 2)/6
Let k(v) = 15*v**3 + 11*v**2 - 51*v + 13. Let n(a) = 7*a**3 + 5*a**2 - 24*a + 6. Let c(f) = -6*k(f) + 13*n(f). Factor c(w).
w*(w - 3)*(w + 2)
Find h such that -14/3*h**4 + 6*h**3 + 22/3*h + 22*h**2 - 4 = 0.
-1, 2/7, 3
Let y(t) be the first derivative of 1/2*t - 1/6*t**3 - 3 + 0*t**2. Find g such that y(g) = 0.
-1, 1
Suppose 5*z - 9*z - p = -2, 0 = -3*p + 6. Let t(o) be the third derivative of 1/60*o**5 + 0*o**4 + 3*o**2 + 0*o**6 + z + 0*o**3 + 0*o - 1/210*o**7. Factor t(j).
-j**2*(j - 1)*(j + 1)
Let z(l) be the second derivative of -l**7/42 - l**6/12 - l**5/12 + 7*l**2/2 - 10*l. Let k(w) be the first derivative of z(w). Solve k(o) = 0.
-1, 0
Suppose 3*a - 2*c = 12, -4*c + 8*c + 12 = 0. Factor 9*f**2 + 28*f - 5 - 2 - 54*f**a + 26*f**3 + 3 - 5*f**4.
-(f - 2)**2*(f - 1)*(5*f - 1)
Let d(q) be the first derivative of q**6/540 + q**5/90 - 2*q**4/9 + 19*q**3/3 - 35. Let a(k) be the third derivative of d(k). Factor a(m).
2*(m - 2)*(m + 4)/3
Suppose -4*g = -0*g - 12. Suppose g*k = 1 + 5. What is l in -8*l**3 - 4 - 2*l**4 + 4*l**4 + 12*l - 4*l**5 + 5*l**4 - 8*l**k + 5*l**4 = 0?
-1, 1
Let i(k) = 2*k**3 + 23*k**2 + 10*k - 11. Let p be i(-11). Let u(h) be the third derivative of 0*h - 2/15*h**5 + p + 5*h**2 + 5/12*h**4 - 1/3*h**3. Factor u(l).
-2*(l - 1)*(4*l - 1)
Let r(l) = -4*l**3 + 7*l**2 - 3*l. Let s(f) = -7*f**3 + 14*f**2 - 9*f. Let k(p) = -5*r(p) + 3*s(p). What is u in k(u) = 0?
0, 3, 4
Suppose 10 - 12*f - 4*f**4 + 19*f - 12*f**2 + 6 - 23*f + 16*f**3 = 0. What is f?
-1, 1, 2
Suppose -149 = -35*g - 44. Factor -4/7*n**g + 8/7 + 4/7*n - 8/7*n**2.
-4*(n - 1)*(n + 1)*(n + 2)/7
Let n = -504 + 504. Factor 1/3*c**2 - c**3 + n - 6*c**4 + 0*c.
-c**2*(3*c + 1)*(6*c - 1)/3
Let n(w) = 175*w - 66 + 45*w - 80 - 266*w**2 + 251*w**2. Let k(z) = 165*z**2 - 2420*z + 1605. Let m(r) = -6*k(r) - 65*n(r). Factor m(q).
-5*(q - 14)*(3*q - 2)
Let x(g) = g**2 - g - 28. Let c be x(6). Let a(h) be the first derivative of -3 - 1/3*h**3 - 1/2*h + 3/4*h**c. Factor a(f).
-(f - 1)*(2*f - 1)/2
Suppose -251 = 187*k + 37*k - 923. Find w, given that -8/5*w**k + 4/5*w**2 + 8/5*w - 4/5 = 0.
-1, 1/2, 1
Let z(t) = 4*t**2 + t. Let u be z(1). Let h be (-1 + (-10)/(-6))/((-36)/(-216)). Let 0 + 0*d - 2*d**h + 2*d**3 - 2/3*d**2 + 2/3*d**u = 0. What is d?
0, 1
Let d(m) be the first derivative of -m**4 + 12 - 20/3*m**3 - 14*m**2 - 12*m. What is y in d(y) = 0?
-3, -1
Suppose 52*b = 63*b. Let l(u) be the second derivative of 0 + b*u**2 - 1/4*u**5 + 13*u + 0*u**4 + 0*u**3 - 1/3*u**6. Suppose l(n) = 0. Calculate n.
-1/2, 0
Let h = 9133 - 9130. Solve 0*u**2 - 2/7*u**h + 4/7 + 6/7*u = 0 for u.
-1, 2
Let w be 18/(-81) + 4/9. Sup