+ 3*t**4 + 4*t**5 = 0.
0, 1, 2
Let g(j) be the first derivative of j**7/147 + j**6/35 + 3*j**5/70 + j**4/42 + 3*j - 2. Let q(w) be the first derivative of g(w). Factor q(k).
2*k**2*(k + 1)**3/7
Let p(q) be the first derivative of 3*q**5/80 + q**4/16 - q**3/8 - 3*q**2/8 + 6*q + 4. Let t(r) be the first derivative of p(r). Find v, given that t(v) = 0.
-1, 1
Let d be (-9)/18*(8/(-14))/1. Let d*g**3 + 2/7*g**5 + 0*g**2 + 0*g + 0 - 4/7*g**4 = 0. Calculate g.
0, 1
Let s = 57 - 52. Let j(a) be the third derivative of 0*a + a**2 - 1/60*a**s + 0*a**3 + 1/100*a**6 + 1/120*a**4 + 0. Factor j(x).
x*(2*x - 1)*(3*x - 1)/5
Let k be (-2)/(2 + 4) + (-14)/(-15). Factor -3/5 + 6/5*h - k*h**2.
-3*(h - 1)**2/5
Factor 0*s + 2/5 - 1/10*s**2.
-(s - 2)*(s + 2)/10
Let u be (8/60)/(2/5). Factor 4*i**2 - 1/3*i - u.
(3*i - 1)*(4*i + 1)/3
Suppose 2/21*x**2 + 0*x + 0 = 0. What is x?
0
Suppose z - 6 = 2*z. Let p(h) = 2*h**2 + 5*h + 18. Let c(b) = b**2 + 3*b + 9. Let g(f) = z*p(f) + 14*c(f). Factor g(j).
2*(j + 3)**2
Suppose -4*x + 2*x + 14 = 4*h, 5*h = -3*x + 16. Suppose 4*m = -h*r + 3, -2*m - 6 = 2*r + 2*m. Factor 0*q + 1/2*q**2 + 3/2*q**4 - 3/2*q**r - 1/2*q**5 + 0.
-q**2*(q - 1)**3/2
Let f = -10/5031 - 135053/5031. Let v = f + 27. Solve 2/13*m**4 - v*m**2 + 0*m + 0*m**3 + 0 = 0.
-1, 0, 1
Factor -612 + 600 + 0*y - 10*y - 2*y**2.
-2*(y + 2)*(y + 3)
Let p(r) be the first derivative of -r**6/45 + r**4/9 - r**2/3 - 5*r + 4. Let z(y) be the first derivative of p(y). Factor z(s).
-2*(s - 1)**2*(s + 1)**2/3
Factor 2/3*z - 4/3 + 4/3*z**2 - 2/3*z**3.
-2*(z - 2)*(z - 1)*(z + 1)/3
Factor -6*w**5 - 24*w**2 + 18*w**2 - 40*w**4 - 32*w - 90*w**2 - 96*w**3.
-2*w*(w + 2)**3*(3*w + 2)
Let y(t) be the second derivative of -4*t**6/45 + 11*t**5/30 + t**4/6 - 20*t. Factor y(q).
-2*q**2*(q - 3)*(4*q + 1)/3
Find m such that -1/3 + 1/3*m**2 - 1/9*m**3 + 1/9*m = 0.
-1, 1, 3
Let y = -7 + 6. Let a be (13/(-169))/(y/2). Factor -2/13*x**3 + a + 6/13*x**2 - 6/13*x.
-2*(x - 1)**3/13
Let i = -8/9 + 43/18. Determine o so that 3/2*o**4 + 3/2*o**5 - 3*o**3 - 3*o**2 + 3/2 + i*o = 0.
-1, 1
Let i(k) be the second derivative of k**4/3 + 20*k**3/3 + 50*k**2 + 19*k. Factor i(h).
4*(h + 5)**2
Factor -f**2 + 0*f - 1/4*f**5 - 5/4*f**4 - 2*f**3 + 0.
-f**2*(f + 1)*(f + 2)**2/4
Let f(k) be the first derivative of k**9/7560 + k**8/1400 + k**7/1050 - k**3 + 5. Let w(j) be the third derivative of f(j). Determine m so that w(m) = 0.
-2, -1, 0
Let y(i) be the third derivative of i**6/1320 + i**5/220 - 2*i**3/33 - 13*i**2. Find l such that y(l) = 0.
-2, 1
Let g(l) be the third derivative of -l**6/1080 - l**5/360 - l**3/3 + 6*l**2. Let z(t) be the first derivative of g(t). Find d such that z(d) = 0.
-1, 0
Let i(o) be the second derivative of o**4/60 - 2*o**3/5 + 18*o**2/5 - 11*o. Factor i(r).
(r - 6)**2/5
Suppose -26 = -2*u - 4*k, u - 4*u - 3*k = -24. Factor -3*q**2 - 2*q**2 - u*q + 2*q**2.
-3*q*(q + 1)
Let d be 25/9 - 6/(-27). Suppose -d*p + 4 = -5. Factor -2*r**4 + 2*r**p + 0 - 2/3*r**2 + 2/3*r**5 + 0*r.
2*r**2*(r - 1)**3/3
Let l(f) = -f**3 + 5*f**2 + 7*f + 4. Let z be l(6). Suppose z = 3*y - y. What is m in -2*m**2 - m**4 - m**2 - 2 - 6*m**2 + y*m**3 + 7*m = 0?
1, 2
Let s(i) = 2*i**4 - 4*i**3 + 3*i**2 - i - 1. Let m(p) = p**4 - p**3 - 1. Let w(a) = m(a) - s(a). Factor w(n).
-n*(n - 1)**3
Let r(n) be the second derivative of 0 + 0*n**2 + 3*n + 1/3*n**3 - 1/12*n**4. Factor r(d).
-d*(d - 2)
Let z(h) = 16*h - 414. Let u be z(26). Factor 4/9 + 2/9*t**u + 2/3*t.
2*(t + 1)*(t + 2)/9
Let a(u) be the first derivative of u**4/24 + u**3/12 + 4*u + 1. Let k(h) be the first derivative of a(h). Factor k(q).
q*(q + 1)/2
Find j, given that -16/7 - 2/7*j**2 + 18/7*j = 0.
1, 8
Let n(c) be the first derivative of -c**6/39 - 2*c**5/65 + 4. Factor n(o).
-2*o**4*(o + 1)/13
Suppose 3*y = 7*y - 16, 4*o = 3*y - 12. Factor -1/4*t - 1/4*t**2 + o.
-t*(t + 1)/4
Let q(a) be the third derivative of a**6/40 + a**5/5 + 3*a**4/8 - 22*a**2. Solve q(i) = 0 for i.
-3, -1, 0
Let h(r) = -r**4 - r**3 + r - 1. Let c(u) = -u**4 - u**3 - 2*u**2 + 2*u - 2. Let q(j) = -2*c(j) + 4*h(j). Factor q(p).
-2*p**2*(p - 1)*(p + 2)
Let c(j) be the second derivative of -5*j**4/12 + 5*j**3/3 - 3*j. Factor c(a).
-5*a*(a - 2)
Suppose 0 = -5*b - 3 - 2. Let z be 1*b/((-1)/3). Factor 2*o**4 - 2*o**2 - o + 3*o - 3*o**z + o**3.
2*o*(o - 1)**2*(o + 1)
Let q(m) = -m**3 + 9*m**2 - 11*m + 11. Let f be q(8). Let l = f - -15. Factor 0*b**3 - 2/7*b**4 + 0 + 1/7*b**5 + 2/7*b**l - 1/7*b.
b*(b - 1)**3*(b + 1)/7
Factor 4/3*n**3 + 0 - 4/3*n - 4/3*n**4 + 4/3*n**2.
-4*n*(n - 1)**2*(n + 1)/3
Let a(v) = 11*v**4 - 18*v**3 + 18*v**2 - 6*v. Let p be (5/2)/(3/6). Let t(d) = 27*d**4 - 45*d**3 + 45*d**2 - 15*d. Let w(m) = p*t(m) - 12*a(m). Factor w(x).
3*x*(x - 1)**3
Let p(q) be the second derivative of q**7/15120 - q**6/2160 - q**4/4 + 6*q. Let t(a) be the third derivative of p(a). Suppose t(b) = 0. Calculate b.
0, 2
Let d = -24 - -14. Let y be ((-3)/d)/((-24)/(-20)). Solve -1/4*b**3 + 1/4*b**5 + 0 - y*b**4 + 1/4*b**2 + 0*b = 0.
-1, 0, 1
Let t(w) be the second derivative of -w**4/28 - w**3/14 + 3*w**2/7 - 9*w. Factor t(d).
-3*(d - 1)*(d + 2)/7
Let r be (48/(-102))/(-4) - (-4)/255. Let a(m) be the first derivative of -r*m**3 + 2 + 2/5*m + 0*m**2. Factor a(w).
-2*(w - 1)*(w + 1)/5
Let x(i) = -i**4 + 3*i**3 + 12*i**2 - 12*i. Let d(v) = 12*v**4 - 39*v**3 - 156*v**2 + 156*v. Let l(n) = -2*d(n) - 27*x(n). Factor l(g).
3*g*(g - 2)*(g - 1)*(g + 2)
Let q be ((-15)/(-9))/((-1)/(-3)). Suppose -2*y + 6 = 2*j, q*y + 16 = 3*j + y. What is x in -4*x**3 - 2*x**4 + 3*x**4 - 2*x**2 - 3*x**j = 0?
-1, 0
Let c(w) = -w**3 + 3*w**2 - 2. Let v be c(2). Suppose v*j = 3*j. Find r such that 1/4*r**2 + j + 1/4*r = 0.
-1, 0
Let n be (8/(-5))/((-2)/15). Factor 4*m**2 + n*m**4 + 6*m**5 - 4*m**5 - 12*m**3 - 6*m**5.
-4*m**2*(m - 1)**3
Let m = 2 - -1. Suppose 2*r**2 + m*r**5 - 2*r**4 + 2*r**5 - r + 2*r**5 - 6*r**5 = 0. What is r?
-1, 0, 1
Let a(v) be the third derivative of -8*v**2 + 9/40*v**6 + 0*v**3 + 6/35*v**7 + 0 + 5/112*v**8 + 0*v + 0*v**4 + 1/10*v**5. Suppose a(b) = 0. Calculate b.
-1, -2/5, 0
Let o(p) = p**2 - 7*p + 5. Let n be o(6). Let a be 0*(n - (-3)/6). Factor 14/5*c**3 + a + 0*c - 4/5*c**2.
2*c**2*(7*c - 2)/5
Let f(p) be the third derivative of -1/96*p**4 + 3*p**2 + 0 + 0*p**3 + 1/240*p**5 + 0*p. Factor f(m).
m*(m - 1)/4
Let v be 60/18 - 2/(-4). Let m = 9/2 - v. Solve 16/3*d**4 - 14/3*d**2 - 10/3*d - 2/3 + m*d**3 + 8/3*d**5 = 0.
-1, -1/2, 1
Let y(v) be the second derivative of v**6/90 + 7*v**5/60 + 11*v**4/36 + 5*v**3/18 - 15*v + 1. Factor y(f).
f*(f + 1)**2*(f + 5)/3
Factor 8*r**4 - 483*r + 570*r**2 - 519*r - 250 - 118*r**3 + 152*r.
2*(r - 5)**3*(4*r + 1)
Let i(k) be the first derivative of 0*k**2 - 4 + 0*k + 1/12*k**3. Factor i(m).
m**2/4
Let q be (144/120)/(2 - -1). Factor -2*t**2 + 0 - 4/5*t - q*t**4 - 8/5*t**3.
-2*t*(t + 1)**2*(t + 2)/5
Find d, given that -611*d + 1511*d + 43*d**3 - 375 + 149*d**3 - 720*d**2 = 0.
5/4
Find k, given that 0*k**2 + 2/7*k**3 + 0 - 2/7*k = 0.
-1, 0, 1
Suppose 4*y + 9 - 25 = 0. Determine k so that 1/4*k**y + 0*k + 0*k**3 - 1/2*k**2 + 1/4 = 0.
-1, 1
Factor -5/7*b**3 - 1/7*b**2 + 0 - b**4 - 3/7*b**5 + 0*b.
-b**2*(b + 1)**2*(3*b + 1)/7
Let s(y) be the third derivative of y**5/210 - y**4/6 + 13*y**3/21 - 24*y**2. Solve s(j) = 0.
1, 13
Let u(p) be the second derivative of -p**7/21 - 2*p**6/15 + p**5/5 + 2*p**4/3 - p**3/3 - 2*p**2 + 19*p. Determine b so that u(b) = 0.
-2, -1, 1
Let j = 105 - 104. Let v(t) be the first derivative of 1/4*t + j + 0*t**2 - 1/12*t**3. Factor v(b).
-(b - 1)*(b + 1)/4
Factor 10/3*l - 4/3 - 4/3*l**2.
-2*(l - 2)*(2*l - 1)/3
Let l(f) = -4*f**5 - 24*f**4 + 4*f**3 + 24*f**2 + 14. Let u(m) = -3 - m**4 + m**2 + m**5 - 6*m**2 - m**3 + 6*m**4. Let z(q) = 3*l(q) + 14*u(q). Factor z(c).
2*c**2*(c - 1)**2*(c + 1)
Suppose 9*n + 3 = 21. Determine c so that -1/4*c**n + 1/2*c**3 + 3/4*c**4 + 0*c + 0 = 0.
-1, 0, 1/3
Let u(t) be the first derivative of -t**3/2 - 7*t**2/4 - t - 6. Factor u(c).
-(c + 2)*(3*c + 1)/2
Let o(w) = -w**2 + 5. Let m(u) = -u**2 + 7. Let g(h) = -5*m(h) + 7*o(h). Let y(i) = -2*i**2. Let c(b) = 3*g(b) - 2*y(b). Solve c(r) = 0.
0
Let p(o) be the first derivative of o**6/36 + 12. Factor p(d).
d**5/6
Suppose -352 = 4*a - 3416. Let i = -6884/9 + a. Factor -8/9*d**2 + i*d 