tor h(u).
-5*u*(u + 11)*(5*u + 2)**2
Let c(t) = t**3 + 3*t**2 + 3*t + t - 3*t - 2*t**2. Let r be (-3 - 1 - 2) + 3. Let h(a) = a**3 + 6*a**2 - a. Let d(u) = r*h(u) + 6*c(u). Factor d(n).
3*n*(n - 3)*(n - 1)
Let d be (2/(-56))/(79/(-553)). Suppose 0*o + d*o**3 + 0 - 1/4*o**2 = 0. What is o?
0, 1
Let j be (-2)/(-1) - (-2 - 1). Let m be 0*((-1)/5)/(2/j). Determine a so that 32/9*a**3 + 16/9*a**2 + 2/9*a + m = 0.
-1/4, 0
Let t(y) be the third derivative of -y**6/600 - y**5/50 - y**4/10 - 4*y**3/15 + 49*y**2. Factor t(u).
-(u + 2)**3/5
Let c(y) = 2*y**3 + 16*y**2 - 14*y - 4. Let z(b) = b**3 + b**2 - b - 1. Let r(k) = c(k) - 4*z(k). Let r(l) = 0. What is l?
0, 1, 5
Let m(w) = w**2 - 4*w - 2. Let d be m(5). Suppose u - 9 = 11. Find p such that -d*p**2 + 8*p - u*p - 1 - p**3 + 9*p = 0.
-1
Let z = -2/1655 - -77/8937. Let v = 89/135 + z. Suppose -i - v*i**2 + 0 + 1/3*i**3 = 0. What is i?
-1, 0, 3
Find z, given that 2/25*z**2 + 2/25*z - 2/25*z**4 + 0 - 2/25*z**3 = 0.
-1, 0, 1
Let t be ((8/5)/(24/(-20)))/(-6). Factor 0 - 4/9*m**2 + 4/9*m**4 - t*m + 2/9*m**5 + 0*m**3.
2*m*(m - 1)*(m + 1)**3/9
Suppose -2*m + 38 = 4*q + 4, -4*q + 37 = 3*m. Suppose -4*c - q = -15. Let 4/5*y + 2/5 + 2/5*y**c = 0. Calculate y.
-1
Let z be (-3 - 0) + (-224)/(-72). Let q(c) be the second derivative of 1/12*c**4 + 0 + 7*c - 1/6*c**2 + z*c**3. Factor q(i).
(i + 1)*(3*i - 1)/3
Let z(u) be the first derivative of -2*u**3/3 + 8*u**2 - 30*u - 30. Determine o, given that z(o) = 0.
3, 5
Let w(u) be the third derivative of u**6/60 + 7*u**5/60 + u**4/12 - u**3/2 + 7*u**2 - 2*u. Suppose w(n) = 0. Calculate n.
-3, -1, 1/2
Let t be -38 + 42 + (-28)/10. Suppose 2/5*b**4 - t*b**3 - 2/5*b + 6/5*b**2 + 0 = 0. Calculate b.
0, 1
Let u = 95 + -473/5. Let a = 41/5 + -8. Factor -u*b + 1/5*b**2 + a.
(b - 1)**2/5
Factor -88*q**2 + 341*q + 4*q**3 + 1152 - 67*q + 110*q.
4*(q - 12)**2*(q + 2)
Let j(p) be the third derivative of -p**6/200 + 9*p**5/100 - p**4/5 - 140*p**2. Factor j(o).
-3*o*(o - 8)*(o - 1)/5
Let u = 4 - 2. Suppose -u*q = -6*q + 52. Factor 0 + 3*h**3 + 6 + 4*h - q*h.
3*(h - 1)**2*(h + 2)
Let v(a) be the first derivative of -1/15*a**3 - 1/2*a**2 - 4/5*a + 12. Solve v(n) = 0 for n.
-4, -1
Let c(k) be the second derivative of 1/6*k**4 + 0 + 0*k**2 - 1/10*k**5 + 0*k**3 + 28*k. Factor c(j).
-2*j**2*(j - 1)
Let d = 131/3 - 43. Let a(t) be the first derivative of 4 + d*t**3 + 2*t - 2*t**2. Factor a(u).
2*(u - 1)**2
Let s(l) be the first derivative of -2*l**2 + 23 - 2/15*l**3 - 18/5*l. Factor s(v).
-2*(v + 1)*(v + 9)/5
Let p(z) = -z - 1. Let u be (-38)/(-8) + (-12)/16. Let b(w) = -w**2 - 8*w - 9. Let r(t) = u*b(t) - 12*p(t). What is c in r(c) = 0?
-3, -2
Let l(x) be the third derivative of 9*x**2 + 0*x**3 + 0*x**5 + 0*x + 0 - 1/84*x**4 + 1/420*x**6. Suppose l(j) = 0. Calculate j.
-1, 0, 1
Let i(d) = 27*d - 10. Let m be i(4). Let r be 2/3*21/m. Factor -1/7 + 2/7*w - r*w**2.
-(w - 1)**2/7
What is d in 42 - 118*d - 32/3*d**3 + 272/3*d**2 = 0?
3/4, 7
Let t(d) be the third derivative of d**5/480 - 23*d**4/96 + 529*d**3/48 - 3*d**2 + 14*d. Factor t(c).
(c - 23)**2/8
Let r(m) be the third derivative of m**7/350 + m**6/100 - 3*m**5/100 - m**4/5 - 2*m**3/5 - 5*m**2 - 8. Find t such that r(t) = 0.
-2, -1, 2
Let b(m) be the third derivative of -m**5/20 + m**4/2 - 2*m**3 + 3*m**2 - 12*m. Factor b(z).
-3*(z - 2)**2
Let b = -255 + 255. Let x(w) be the third derivative of 1/30*w**5 - 1/54*w**4 + 0 - 1/45*w**6 + 0*w**3 + b*w + 1/189*w**7 + 5*w**2. Factor x(j).
2*j*(j - 1)**2*(5*j - 2)/9
Let r(p) be the second derivative of 0 + 0*p**2 + 1/4*p**5 + 34*p - 5/2*p**3 - 5/6*p**4. Let r(u) = 0. Calculate u.
-1, 0, 3
Let k(l) = 3*l + 21. Let n be k(-7). Let j(r) be the second derivative of -5*r + 0 + 2/39*r**3 + n*r**2 + 5/78*r**4 + 2/65*r**5 + 1/195*r**6. Factor j(a).
2*a*(a + 1)**2*(a + 2)/13
Let m be ((-2)/(-6))/((-4)/(-144)). Suppose -m*r**2 + 6*r - 6*r**3 + 101 + 3*r**4 - 44 - 48 = 0. Calculate r.
-1, 1, 3
Let m(y) = 4*y + 7. Let p be m(3). Suppose -5*h = 3*i + p + 1, 0 = i + 5*h + 20. Solve 0 + i*d - 2/3*d**3 - 4/3*d**2 = 0 for d.
-2, 0
Let s(h) = 461*h - 1844. Let b be s(4). Factor b*a - 48 - 3/2*a**3 + 9*a**2.
-3*(a - 4)**2*(a + 2)/2
Suppose -11 + 13 = -2*o. Let w be (-255)/(-35) + -5 + (o - 1). Factor 0 - 2/7*k - w*k**2.
-2*k*(k + 1)/7
Let z be (1 + (-10)/2)*-1. Let u(k) = -k**3 + 17*k**2 - 15*k - 5. Let x(a) = a**3 - a**2 + a. Let p(q) = z*x(q) + u(q). Solve p(i) = 0 for i.
-5, -1/3, 1
Let p(g) = 2*g**5 - 14*g**4 - 8*g**3 + 16*g**2 + 46*g + 22. Let b(t) = 2*t**4 - t**3 + t**2 - t - 1. Let q(a) = -4*b(a) - p(a). Find c, given that q(c) = 0.
-1, 3
Find j, given that j**2 + 1/2*j**3 - 1/2*j**4 + 0 + 0*j = 0.
-1, 0, 2
Let s(a) be the third derivative of 7*a**6/96 - 5*a**5/6 - 5*a**4/8 - 7*a**2 - 11*a. Factor s(i).
5*i*(i - 6)*(7*i + 2)/4
Let y = -8 + 4. Let g = y + 8. Factor 3*s + 2*s - g*s**2 - 13 + s + 17.
-2*(s - 2)*(2*s + 1)
Let c(o) be the second derivative of 8/65*o**5 + 0*o**3 + 2/39*o**4 + 10*o + 0*o**2 + 17/195*o**6 + 5/273*o**7 + 2. Solve c(d) = 0.
-2, -1, -2/5, 0
Let d = 17/12 + -11/12. Let v(x) be the second derivative of -1/8*x**5 + 6*x - d*x**2 + 5/12*x**3 + 0 + 1/12*x**4. Factor v(q).
-(q - 1)*(q + 1)*(5*q - 2)/2
Suppose 282 - 936 = -6*r. Solve 9*o**5 - r*o**4 + 6*o**3 + 66*o**4 + 58*o**4 = 0 for o.
-1, -2/3, 0
Determine d, given that -42 - 5*d**5 + 20*d - 10*d**4 + 15*d**3 + 40*d**2 + 23 + 19 = 0.
-2, -1, 0, 2
Let t = -250 - -252. Let r(j) be the first derivative of -2 - 1/3*j**3 + 1/4*j**4 + 0*j + 0*j**t. Factor r(k).
k**2*(k - 1)
Suppose -1538*h - 16 = -1546*h. Let z(x) be the first derivative of 2*x**h - 3 + 2/3*x**3 + 2*x. Factor z(s).
2*(s + 1)**2
Let d(o) be the first derivative of -o**4/34 - 40*o**3/51 - 19*o**2/17 - 42. Factor d(p).
-2*p*(p + 1)*(p + 19)/17
Let -1/6*q**2 - 14/3 + 11/6*q = 0. What is q?
4, 7
Let k(a) = 44*a**5 + 32*a**4 - 344*a**2 - 344*a. Let r(i) = -9*i**5 - 6*i**4 + 69*i**2 + 69*i. Let w(z) = -5*k(z) - 24*r(z). Find m such that w(m) = 0.
-2, 0, 2
Let f(s) be the second derivative of -2/7*s**3 - 1/42*s**4 + 0 - 9/7*s**2 - 2*s. Factor f(y).
-2*(y + 3)**2/7
Factor 6 - 1/2*g**3 - 25/2*g + 7*g**2.
-(g - 12)*(g - 1)**2/2
Let t(y) be the third derivative of -y**8/192 - 2*y**7/63 - y**6/36 + y**4/6 + 30*y**2. Let r(a) be the second derivative of t(a). Factor r(l).
-5*l*(l + 2)*(7*l + 2)
Let h be 2/((-2)/1 - -3). Factor -164*k**3 - 4*k**h - k**2 - 120*k**4 - 80*k**5 + 119*k**3.
-5*k**2*(k + 1)*(4*k + 1)**2
Let k(a) = a**3 - 2*a**2 + 3. Let n(w) be the second derivative of -w**3/6 - w**2/2 - 11*w. Let f(p) = 4*k(p) + 4*n(p). Find u, given that f(u) = 0.
-1, 1, 2
Let j(i) be the third derivative of i**6/240 - 23*i**5/120 - i**4/2 - 125*i**2. Factor j(o).
o*(o - 24)*(o + 1)/2
Let a(k) = k**3 + 2*k**2 - 3*k + 2. Let o(z) = z**3 + 7*z**2 - z - 10. Let f be o(-7). Let i be a(f). Factor i*b**4 + 5*b**4 + 5*b**4 + 8*b**3 - 20*b**5.
-4*b**3*(b - 1)*(5*b + 2)
Let r(q) be the third derivative of -5/24*q**4 - 1/42*q**7 + 0 + 10*q**2 + 1/12*q**5 + 0*q**3 + 1/24*q**6 + 0*q. Factor r(f).
-5*f*(f - 1)**2*(f + 1)
Let k(g) be the second derivative of 1/5*g**6 + 21/2*g**4 - 29/10*g**5 + 0 - 50*g**2 + 15*g**3 - 9*g. Factor k(j).
2*(j - 5)**2*(j + 1)*(3*j - 2)
Let l(y) be the first derivative of -y**6/9 + 116*y**5/45 - 35*y**4/9 - 80*y**3/27 + 73*y**2/9 - 4*y + 437. Determine t, given that l(t) = 0.
-1, 1/3, 1, 18
Solve 32/7*y - 64/7*y**2 - 26/7*y**4 + 60/7*y**3 + 4/7*y**5 - 6/7 = 0 for y.
1/2, 1, 3
Let y(o) be the third derivative of o**6/60 - 4*o**5/15 + 7*o**4/12 + 2*o**2 + 45. Factor y(l).
2*l*(l - 7)*(l - 1)
Let a be 3/2 + 1/2. Let x be 6/(-27) - (-116)/36. Factor a*w**4 - 2*w**5 + 50*w**3 - 50*w**x.
-2*w**4*(w - 1)
Let p be 6/(-6)*1*-3. Suppose 2*m = -p*s - 4, -3*s + 7*s + 20 = m. Factor -3/4*t + 0 - 9/4*t**3 + 3/4*t**m + 9/4*t**2.
3*t*(t - 1)**3/4
Factor -8/3*y + 8/3*y**3 + 0 - 4/3*y**2 + 4/3*y**4.
4*y*(y - 1)*(y + 1)*(y + 2)/3
Let l(f) = 8*f + 1. Let j be l(3). Suppose -4*t = t - j. Suppose c**5 + 0*c**5 - 4*c**t - 6*c**3 + 3 - 9*c**4 + 6*c**2 + 9*c = 0. Calculate c.
-1, 1
Let u(m) be the first derivative of -15*m**4/4 - 106*m**3/3 + 109*m**2/2 - 24*m - 40. Find x, given that u(x) = 0.
-8, 1/3, 3/5
Let r be (-5 - 706/(-16))/1. Let y = r + -39. Solve -1/8 - y*i**2 - 1/4*i = 0 for i.
-1
Let k be