e third derivative of y**5/80 - 3*y**4/32 + y**3/4 - 16*y**2 + 2*y. Factor i(w).
3*(w - 2)*(w - 1)/4
Let g(d) = 7*d**3 + 20*d**2 + 59*d + 50. Let s(i) = i**3 - i**2 - i - 1. Let h(c) = g(c) - 4*s(c). What is x in h(x) = 0?
-3, -2
Let q(v) = v**3 - 4*v**2 - 4*v + 1. Let x be q(5). Factor x*f**2 - f**3 + 12*f**4 - 8*f**3 - 9*f**4.
3*f**2*(f - 2)*(f - 1)
Let -5*j - 28*j**2 + j + 18*j**4 + 49*j**5 - 45*j**3 + 10*j**4 = 0. Calculate j.
-1, -2/7, 0, 1
Factor 21*q**2 - 15/2 - 15/4*q**3 - 39/4*q.
-3*(q - 5)*(q - 1)*(5*q + 2)/4
Let y(d) be the third derivative of d**8/141120 + d**7/17640 + d**6/5040 + d**5/60 - 6*d**2. Let m(v) be the third derivative of y(v). Factor m(r).
(r + 1)**2/7
Let i(c) be the first derivative of 0*c**2 - 2*c - 1 - 1/36*c**4 - 1/18*c**3. Let x(b) be the first derivative of i(b). Solve x(v) = 0.
-1, 0
Suppose -4*b + 16*b + b**2 - 12 - 4*b**2 = 0. Calculate b.
2
Let i(t) be the second derivative of t**6/360 + t**5/60 + t**4/24 - 5*t**3/6 - 4*t. Let p(q) be the second derivative of i(q). Let p(m) = 0. What is m?
-1
Let w be (-2)/4*(-5 - -5). Let c(d) be the third derivative of w - d**2 + 0*d + 1/12*d**4 + 0*d**3 + 1/30*d**5. Factor c(r).
2*r*(r + 1)
Suppose 2*w = -w - 2*w. Let a(g) be the third derivative of 0 + 1/6*g**3 + w*g - 1/60*g**5 + 0*g**4 - 2*g**2. What is u in a(u) = 0?
-1, 1
Suppose 2*w + 5*g = -4, -2*w + 2*g + 2 = -8. Let b(r) be the first derivative of -2*r**3 + r**2 - w + 4*r**3 + 2*r - 5*r**2. Factor b(c).
2*(c - 1)*(3*c - 1)
Let q(y) = y**2 + y. Let i(b) = -7*b**2 + 17*b + 11. Let c(h) = -i(h) + 2*q(h). Let t(v) = 5*v**2 - 8*v - 6. Let u(f) = 6*c(f) - 11*t(f). Factor u(n).
-n*(n + 2)
Factor 3*s**2 + 6*s - 2 + 7 - 2.
3*(s + 1)**2
Let d(y) be the first derivative of -y**3/3 - y**2/2 + 2*y - 10. Factor d(h).
-(h - 1)*(h + 2)
Let v(i) be the first derivative of -i**6/720 - i**5/96 - i**4/32 + 2*i**3 - 2. Let h(u) be the third derivative of v(u). Solve h(f) = 0.
-3/2, -1
What is l in -24*l**2 - 3*l - 5*l**4 - 16*l**3 - 2*l + l**4 - 4 - 11*l = 0?
-1
Let o(m) be the third derivative of m**9/37800 - m**7/6300 - m**4/6 - 2*m**2. Let r(z) be the second derivative of o(z). Factor r(d).
2*d**2*(d - 1)*(d + 1)/5
Factor 2/11*a**2 - 12/11 - 2/11*a.
2*(a - 3)*(a + 2)/11
Let c(k) be the first derivative of -k**4/4 + 11*k**3/12 - 5*k**2/8 - k/2 - 28. Let c(t) = 0. Calculate t.
-1/4, 1, 2
Let i(s) be the third derivative of 1/210*s**5 + 1/420*s**6 + 0 + 0*s**3 + 0*s + s**2 + 0*s**4. What is d in i(d) = 0?
-1, 0
Let t(d) = 4*d**2 - 4. Let b(w) = 0*w**3 - w**3 + 6 + w - 10 + 4*w**2. Let a(x) = 4*b(x) - 3*t(x). Suppose a(g) = 0. Calculate g.
-1, 1
Let p be ((-17)/(-34))/((-9)/(-12)). Factor 2/3*g**2 + 0*g + 0 - p*g**3.
-2*g**2*(g - 1)/3
Let b be 15/(-20)*(-6 - -2). Let z(h) be the second derivative of 0 - b*h + 0*h**3 + 0*h**2 - 1/30*h**5 + 1/36*h**4 + 1/90*h**6. Factor z(q).
q**2*(q - 1)**2/3
Let z(b) = -b - 6. Let k be z(-9). Suppose 0 = n - 3*j - 6, -4*n + k*j = -2*j - 10. Solve -2/3*x**2 + n + 2/3*x = 0.
0, 1
Find y such that 2/5*y**2 + 12/5*y + 18/5 = 0.
-3
Let h = 39/2 + -101/6. Factor h*c**2 + 2/3*c**3 + 0 + 8/3*c.
2*c*(c + 2)**2/3
Let c(n) be the first derivative of -2*n**5/45 + 7*n**4/18 - 10*n**3/9 + n**2 - 10. Factor c(s).
-2*s*(s - 3)**2*(s - 1)/9
Suppose w = -2*w + 15. Suppose 4*n - 7 = 3*a + 8, n + a = -w. Find j, given that -1/5*j**2 + 0*j + 1/5*j**4 + 1/5*j**5 - 1/5*j**3 + n = 0.
-1, 0, 1
Let p(c) be the first derivative of -c**6/40 + 7*c**5/40 - 7*c**4/16 + c**3/2 - 2*c**2 - 1. Let i(g) be the second derivative of p(g). Factor i(w).
-3*(w - 2)*(w - 1)*(2*w - 1)/2
Let o = -11 - -18. Determine h so that -13*h**4 + 31*h**3 - 46*h**3 - 5*h - 4*h**5 + 4*h - o*h**2 = 0.
-1, -1/4, 0
Let f = -8 + 0. Let b be (f/(-18))/((-4)/(-6)). Factor -1/3*t**5 + 2/3*t**2 + 0 - b*t**4 + 0*t**3 + 1/3*t.
-t*(t - 1)*(t + 1)**3/3
Let j(t) be the second derivative of t**6/15 - 3*t**5/40 - t**4/24 + 5*t. Factor j(k).
k**2*(k - 1)*(4*k + 1)/2
Factor 0 + 1/4*d**3 - 1/2*d + 1/4*d**2.
d*(d - 1)*(d + 2)/4
Let x be 6/(-1)*12/(-36). Let c(g) be the second derivative of 0 - g**x + 0*g**3 - g + 1/6*g**4. Find o such that c(o) = 0.
-1, 1
Let h(t) be the third derivative of -t**6/780 - 2*t**5/65 - 4*t**4/13 - 64*t**3/39 + 11*t**2. Let h(g) = 0. What is g?
-4
Let p(v) be the second derivative of -v + 1/120*v**6 + 0*v**2 - 1/24*v**3 - 1/48*v**4 + 1/80*v**5 + 0. Factor p(m).
m*(m - 1)*(m + 1)**2/4
Let g(a) be the first derivative of -2*a**6/15 + 13*a**5/20 - a**4/4 - 8*a**3/3 + 2*a**2 - 2*a - 5. Let j(f) be the first derivative of g(f). Factor j(w).
-(w - 2)**2*(w + 1)*(4*w - 1)
Let i = 24 + -21. Let f(s) be the third derivative of 1/70*s**7 + 1/60*s**5 - 1/336*s**8 + 0 - 1/40*s**6 + 0*s**4 - s**2 + 0*s**i + 0*s. Factor f(t).
-t**2*(t - 1)**3
Let a = -291 + 294. Factor 1/6*z**2 + 1/2 + 1/6*z**a - 5/6*z.
(z - 1)**2*(z + 3)/6
Let l(a) be the third derivative of a**5/60 - 7*a**4/24 + 2*a**3 + 2*a**2. Let r be l(5). Solve 2*u + 4/5 + 6/5*u**r = 0 for u.
-1, -2/3
Let j = 127 - 74. Factor -2*q + 56*q**2 + q**3 - j*q**2 + 3*q**5 - 2*q**5 - 3*q**4.
q*(q - 2)*(q - 1)**2*(q + 1)
Suppose -5*w + 3*w - 5*v = 0, 5*w = 2*v. Let d(u) be the first derivative of w*u + 1/12*u**4 - 2/9*u**3 + 1/6*u**2 - 2. Solve d(n) = 0.
0, 1
Factor -32/7*z + 4/7*z**2 + 64/7.
4*(z - 4)**2/7
Let g = 34 + -32. Suppose 8/7 - 6/7*y**g - 4/7*y**3 + 2/7*y**4 + 8/7*y = 0. Calculate y.
-1, 2
Suppose c + 6 = 4*k, 5 = 3*c + 5*k - 62. Let z be (c/21)/(6/4). Factor -z*r**2 + 0 + 2/9*r + 2/9*r**3.
2*r*(r - 1)**2/9
Suppose 4*m**4 - 8*m - 10*m**3 - m**2 + 8*m**3 + 21*m**2 - 14*m**3 = 0. Calculate m.
0, 1, 2
Let c be 1/10*(60/8)/3. Factor -1/4*t + 0 + 0*t**2 + c*t**3.
t*(t - 1)*(t + 1)/4
Let t = -16 + 14. Let l = t + 2. Factor -1/5*n**2 + 0*n + l.
-n**2/5
Suppose 5*l + 13 = -3*h, 3*h + 2*l - 8 + 6 = 0. Factor 0 + 2/3*k**h + 2/3*k - 2/3*k**2 - 2/3*k**3.
2*k*(k - 1)**2*(k + 1)/3
Let j(z) be the second derivative of z + 0 + 0*z**3 - 1/2*z**2 + 1/45*z**5 + 1/36*z**4 + 1/180*z**6. Let t(u) be the first derivative of j(u). Factor t(p).
2*p*(p + 1)**2/3
Let h(d) = -d - 1. Let t be h(-3). Suppose 0 = -t*m + 10 + 18. Solve m*n**2 - 2 + 2*n - 5*n + 0*n - 15*n**2 = 0.
-2, -1
Let z be (1/(-2))/(2/(-12)). Factor -5*j**2 - 6*j**2 - 8*j + 0*j + 6*j**z + 3*j**2.
2*j*(j - 2)*(3*j + 2)
Let o(g) be the second derivative of -g**4/12 - g**3 + 7*g**2/2 + 4*g. Let x be o(-7). Factor -4/5*i**4 + 0*i**2 + 2/5*i**3 + 2/5*i**5 + 0 + x*i.
2*i**3*(i - 1)**2/5
Let j(l) = l**2 - 5*l - 8. Let i be j(7). Suppose 4 - 4*x**2 - 7*x + 8*x - 10*x - i = 0. Calculate x.
-2, -1/4
Let i(c) be the second derivative of 2*c**6/15 - 3*c**5/5 + c**4 - 2*c**3/3 + 8*c. Let i(t) = 0. Calculate t.
0, 1
Factor 15*u**3 - 3*u**5 - u**4 + 5*u**2 - 2*u**2 + 12 - 2*u**4 + 0*u**5 - 24*u.
-3*(u - 1)**3*(u + 2)**2
Suppose 6 = 2*m - 4. Suppose -3 = -4*f + m. Find d such that d**2 + 7*d**3 - 7*d - 6*d**2 + 3*d**2 + f = 0.
-1, 2/7, 1
Suppose -4*m**3 - 1052 + 1052 - 4*m**2 + 8*m = 0. Calculate m.
-2, 0, 1
Let x(d) be the third derivative of 1/3*d**3 + 0 - 1/30*d**5 + 0*d**4 + 0*d + 4*d**2. Solve x(h) = 0 for h.
-1, 1
Solve 262*g**3 - 287*g**3 + 45*g**2 - 35*g + 10 + g**4 + 4*g**4 = 0.
1, 2
Let f(l) be the second derivative of -9*l**5/40 + 5*l**4/8 + 13*l**3/2 + 6*l**2 + l - 1. Factor f(s).
-3*(s - 4)*(s + 2)*(3*s + 1)/2
Let b(y) be the third derivative of -y**7/735 + y**6/140 - y**5/70 + y**4/84 + y**2. Suppose b(w) = 0. Calculate w.
0, 1
Factor -3*j + 3*j - 3*j + 3*j**3.
3*j*(j - 1)*(j + 1)
Factor -25*z**3 - 4*z**4 + 2 + 8*z + 17*z**3 + 2.
-4*(z - 1)*(z + 1)**3
Let o = -30/41 + 538/287. Let t be 2*9*8/84. Solve 16/7*d**4 - t*d**2 + 2*d - 4/7 - 6/7*d**5 - o*d**3 = 0 for d.
-1, 2/3, 1
Suppose 0 = -5*p - 3*v + 26, -2*v + 28 = 5*p + 2*v. Suppose 3*a - 6 = -4*k, p*a - 6 = -2*k + 2. Factor -j**2 - 2*j**2 - j + 4*j**a.
j*(j - 1)
Suppose -5*i + 3 = 2*h, 0*h - 4*h + 15 = i. Find c such that -2*c + h*c**2 - 7*c + 13*c = 0.
-1, 0
Let a(n) be the second derivative of -n**9/45360 - n**8/20160 + n**7/7560 + n**6/2160 + n**4/12 + 3*n. Let c(g) be the third derivative of a(g). Factor c(f).
-f*(f - 1)*(f + 1)**2/3
What is y in 0*y**3 + 1/5*y**2 + 0 + 0*y - 1/5*y**4 = 0?
-1, 0, 1
Let s(p) be the second derivative of -p**5/60 + p**4/9 - 5*p**3/18 + p**2/3 + 21*p. Factor s(l).
-(l - 2)*(l