ivative of v(f). Factor h(n).
3*(n + 1)*(7*n - 2)
Let o = 4 - 9. Let m(s) = -11*s**3 - 16*s**2 - 13*s - 5. Let g(y) = 10*y**3 + 16*y**2 + 12*y + 4. Let z(b) = o*g(b) - 4*m(b). Factor z(r).
-2*r*(r + 2)*(3*r + 2)
What is s in 1/4*s**2 - 3/4*s + 3/4*s**3 + 1/4*s**4 - 1/2 = 0?
-2, -1, 1
Solve 20*w - 19*w**3 - 9 - w**3 + 8*w**2 + 1 = 0.
-1, 2/5, 1
Let z(s) be the first derivative of s**4/20 + s**3/5 - 66. Factor z(g).
g**2*(g + 3)/5
Let c be 4/6 + (-16)/(-30). Let y be 99/198 - ((-18)/4 + 1). Factor -1/5*s**y - 1/5 - c*s**2 - 4/5*s**3 - 4/5*s.
-(s + 1)**4/5
Let c(b) be the first derivative of 2*b**5/45 + b**4/18 - 2*b**3/9 - b**2/9 + 4*b/9 - 23. Let c(u) = 0. Calculate u.
-2, -1, 1
Factor -1/6*r**3 + 0 - 1/6*r**4 + 5/6*r**2 - 1/2*r.
-r*(r - 1)**2*(r + 3)/6
Let u(i) = -i**4 - 3*i**2 + 2. Let d(f) = f**3 + f**2 - 1. Let q(o) = -10*d(o) - 5*u(o). Factor q(p).
5*p**2*(p - 1)**2
Let n(t) be the second derivative of -2*t**6/15 + t**5/2 - 2*t**4/3 + t**3/3 + 4*t. Factor n(o).
-2*o*(o - 1)**2*(2*o - 1)
Let v be 8 + (4 - 1)/3. Let h be v/(-6)*(-14)/3. Factor 2*w**3 - 2*w - 7 + h.
2*w*(w - 1)*(w + 1)
Suppose -5*g + 75 = -2*g. Let c be (10/g)/(2/10). Solve 0*w**3 - 2/5*w**c + 0*w + 1/5*w**4 + 1/5 = 0 for w.
-1, 1
Let t(a) = -a**5 + a**4 + a**3 + a + 1. Let s(z) = -z**2 + 2*z - 2*z**2 - z**2 + 3*z**4 + 7*z**3 + 1 - 6*z**4. Let l(r) = -s(r) + t(r). Solve l(u) = 0 for u.
0, 1
Let h(n) be the first derivative of n**5/20 - n**4/8 + 5*n**2/2 + 2. Let j(r) be the second derivative of h(r). Factor j(f).
3*f*(f - 1)
Suppose -3 = -2*c - 1. Let r(a) = 2 - 2*a - 2 + a**3 - c + a + a**2. Let z(h) = -h**3 + 3*h + 2. Let v(i) = -2*r(i) - z(i). Let v(w) = 0. Calculate w.
-1, 0
Let m(b) be the third derivative of -b**8/1680 + b**7/168 - b**6/60 - b**5/30 + b**4/3 + b**3/2 - 3*b**2. Let r(z) be the first derivative of m(z). Factor r(k).
-(k - 2)**3*(k + 1)
Let r(m) be the second derivative of -1/12*m**3 + 1/120*m**5 - 2*m**2 + 0 - 4*m + 0*m**4. Let s(a) be the first derivative of r(a). Find y, given that s(y) = 0.
-1, 1
Let o(n) = -2*n + 16. Let w be o(11). Let v = w + 6. Solve v*x - 1/2 + 1/2*x**2 = 0.
-1, 1
Let y = 284/3 + -94. Let -2/3*a**5 + 0 - y*a + 0*a**2 + 4/3*a**3 + 0*a**4 = 0. What is a?
-1, 0, 1
Let d be 1/(((-30)/25)/(-6)). Let g(z) be the first derivative of -1/8*z**2 - 1/4*z**3 + 0*z + 3 - 3/16*z**4 - 1/20*z**d. Factor g(k).
-k*(k + 1)**3/4
Let i = 15 + -13. Factor 3*j**3 + 6*j**i + 6*j - 2*j - j.
3*j*(j + 1)**2
Let o(x) be the first derivative of -x**3/3 - x**2/2 + 5*x - 4. Let k(h) = -h**2 - h + 2. Let y(l) = -5*k(l) + 2*o(l). Factor y(s).
3*s*(s + 1)
Let x(c) be the third derivative of -1/20*c**6 - 1/105*c**7 - 10*c**2 + 0 + 0*c + 1/4*c**4 + 2/3*c**3 - 1/30*c**5. Solve x(a) = 0.
-2, -1, 1
Let b be 4 + 164/(-16) + 7. Let r = 20 - 77/4. Suppose r*h**4 + 1/4*h**2 - b*h**3 + 0*h - 1/4*h**5 + 0 = 0. Calculate h.
0, 1
Let g be (-1 + 0)*1/1 - -3. Let 2/11*a - 2/11*a**5 + 0 + 4/11*a**g - 4/11*a**4 + 0*a**3 = 0. What is a?
-1, 0, 1
What is f in 1/3*f**5 - 7/3*f**2 - 5/3*f**4 + 2/3*f + 0 + 3*f**3 = 0?
0, 1, 2
Let w(y) be the third derivative of y**7/10 + y**6/20 + y**2 - 27. Let w(x) = 0. What is x?
-2/7, 0
Suppose -6 = -2*y - y. Let i(h) = -h**3 + 5*h**2 - 3*h - 4. Let l be i(4). Factor 1/2*c**3 - 1/2*c + l*c**y + 0.
c*(c - 1)*(c + 1)/2
Let x be (-2)/2 + (-66)/60. Let g = -3/5 - x. Factor p**4 - 1/4*p**5 - g*p**3 - 1/4*p + 0 + p**2.
-p*(p - 1)**4/4
Let k(t) be the second derivative of t**10/7560 + t**9/1890 - t**7/315 - t**6/180 - 2*t**4/3 - 3*t. Let f(d) be the third derivative of k(d). Factor f(i).
4*i*(i - 1)*(i + 1)**3
Let g(u) be the second derivative of 0*u**3 - 3*u + 3/2*u**2 + 1/30*u**4 + 0 + 1/150*u**5. Let s(j) be the first derivative of g(j). Factor s(q).
2*q*(q + 2)/5
Let z(x) be the second derivative of -x**10/60480 + x**4/4 + 4*x. Let c(h) be the third derivative of z(h). Factor c(o).
-o**5/2
Factor -6*v**4 + 9*v**4 - 4*v**3 + 13*v**3 - 12*v.
3*v*(v - 1)*(v + 2)**2
Let n be (-3 + 4)*3/9. Factor n*b**2 - 1/3 + 0*b.
(b - 1)*(b + 1)/3
Factor -r**5 + 4*r - 2*r**2 + 4*r**4 + 4*r**3 - 2 + 3*r - 8*r**3 - 2*r.
-(r - 2)*(r - 1)**3*(r + 1)
Let x(a) = -25*a**5 + 53*a**4 - 41*a**3 + 3*a**2. Let o(p) = -24*p**5 + 52*p**4 - 40*p**3 + 4*p**2. Let m(t) = 5*o(t) - 4*x(t). Factor m(j).
-4*j**2*(j - 1)**2*(5*j - 2)
Factor 6 - 30*c - 117/2*c**2.
-3*(3*c + 2)*(13*c - 2)/2
Let o be (-298)/8*(-1)/(-21). Let g = -11/12 - o. Factor -16/7 + 20/7*s**2 - g*s**3 - 8/7*s.
-2*(s - 2)**2*(3*s + 2)/7
Let l(s) be the first derivative of -s**6/45 - s**5/15 - s**4/18 + s - 1. Let n(j) be the first derivative of l(j). Determine d, given that n(d) = 0.
-1, 0
Let w = 5 + -3. Let t = -6 - -8. Let -6*n**t - 16 + 22*n + 2*n**3 - 6*n**2 + w*n = 0. Calculate n.
2
Let o(a) be the first derivative of -3*a**5/5 - 21*a**4/4 - 15*a**3 - 39*a**2/2 - 12*a + 15. Find c such that o(c) = 0.
-4, -1
Suppose -2*w + 3*i = 2*i - 8, 2*i + 4 = 0. Factor -f + w*f + 2*f**2 + 2 + 2*f.
2*(f + 1)**2
Let u(o) = -22*o**5 + 41*o**4 + 6*o**3 - 7*o**2 + 2*o. Let k(h) = h**5 + h**4 + h**2 + h. Let f(l) = 5*k(l) - u(l). Factor f(p).
3*p*(p - 1)**2*(3*p + 1)**2
Suppose 5*t = -0*t - 35. Let i = 9 + t. Factor -3*x**2 + x**4 + 4*x**2 + 2*x**3 + 0*x**i.
x**2*(x + 1)**2
Let u(m) be the first derivative of -3*m**7/70 + 19*m**6/120 - m**5/5 + m**4/8 + 4*m**3/3 - 9. Let i(t) be the third derivative of u(t). Factor i(y).
-3*(y - 1)*(3*y - 1)*(4*y - 1)
Let s(i) be the first derivative of -i**3 + 9*i**2/2 + 17. Factor s(r).
-3*r*(r - 3)
Let w be (-4)/(8/(-3))*16/72. Let f be (12/(-18))/(2/(-9)). Factor -1/3 + 1/3*u + w*u**2 - 1/3*u**f.
-(u - 1)**2*(u + 1)/3
Let r(v) be the third derivative of v**7/42 - v**6/12 + 5*v**4/12 - 5*v**3/6 - 10*v**2. What is i in r(i) = 0?
-1, 1
Let t(o) be the first derivative of -o**4 - 20*o**3/3 + 8. Find m, given that t(m) = 0.
-5, 0
Suppose -o + 3 = 0, 0*o = -b - o + 5. Let i(p) be the third derivative of b*p**2 + 1/40*p**5 - 1/8*p**4 + 0 + 1/4*p**3 + 0*p. What is s in i(s) = 0?
1
Suppose 0*v**3 - 1/3*v**4 + 0 + 1/3*v**5 + 0*v**2 + 0*v = 0. Calculate v.
0, 1
Let m = 1 - -3. Suppose 0 = -3*z + 7 - 1. Factor 3*i - i**4 + 0*i**m - 2*i**4 - 6*i**3 + 3*i**5 - 4*i**z - 3 + 10*i**2.
3*(i - 1)**3*(i + 1)**2
Factor 2/7*j**3 + 4/7*j**4 + 0*j**2 + 0*j + 0.
2*j**3*(2*j + 1)/7
Suppose 23*w = 20*w. Find f, given that -32/5*f**2 + 14/5*f**4 - 8/5*f + w - 2*f**3 = 0.
-1, -2/7, 0, 2
Let v = -4 - -7. Suppose -27*y - 12 = -33*y. What is a in 0 + 1/3*a + 2/3*a**y - a**v = 0?
-1/3, 0, 1
Solve 0*y**3 + 2/5*y**2 + 0*y + 0 - 2/5*y**4 = 0.
-1, 0, 1
Let i = 113 + -461/4. Let b = -29/20 - i. Suppose 6/5*u**2 + 0 + 2/5*u + b*u**3 = 0. What is u?
-1, -1/2, 0
Let m(k) = -k**2 - k. Let j(l) = 3*l**2 - 2 + 4*l**2 - l**3 + 6*l + 0*l. Let n(d) = -j(d) - 5*m(d). Factor n(f).
(f - 2)*(f - 1)*(f + 1)
Suppose -5*g + 8 + 2 = 0. Solve 4 + d - 4 - d**g = 0 for d.
0, 1
Let y(k) = k**3 - k**2 - k - 1. Let b(i) be the second derivative of -3*i**5/20 + i**4/6 + i**3/3 + i**2 + i. Let j(s) = b(s) + 2*y(s). Factor j(f).
-f**3
Factor -18/7*d**3 - 6/7*d**2 + 16/7*d + 8/7.
-2*(d - 1)*(3*d + 2)**2/7
Let a(x) = x**2 + 11*x - 15. Let g(j) = -2*j**2 - 34*j + 44. Let o(l) = -8*a(l) - 3*g(l). What is c in o(c) = 0?
1, 6
Let s(x) be the third derivative of x**6/320 + x**5/80 - x**4/64 - x**3/8 + 40*x**2. Find q, given that s(q) = 0.
-2, -1, 1
Let b(g) be the second derivative of g**7/42 + g**6/10 + 3*g**5/20 + g**4/12 + 6*g. Factor b(v).
v**2*(v + 1)**3
Let k(u) be the second derivative of 2*u**7/49 + 4*u**6/15 + 4*u**5/7 + 8*u**4/21 - 6*u + 3. Factor k(z).
4*z**2*(z + 2)**2*(3*z + 2)/7
Let w(t) be the first derivative of t**8/560 - t**7/840 - t**6/180 - 2*t**3/3 + 2. Let d(q) be the third derivative of w(q). Factor d(x).
x**2*(x - 1)*(3*x + 2)
Factor -19*w**2 - 20*w**2 - 2*w - 12*w**3 + 7*w**2 - 10*w + 8.
-4*(w + 1)*(w + 2)*(3*w - 1)
Suppose 3*x - 2*t - 26 = 0, 3*t + 6 = 5*x - 36. Factor o**2 - x*o - 4 - 4*o**2 + 1.
-3*(o + 1)**2
Suppose -6 = 2*p + 5*d + 19, -4*p - 3*d = 15. Factor p + 2/5*b**2 + 1/5*b**5 - 1/5*b - 2/5*b**4 + 0*b**3.
b*(b - 1)**3*(b + 1)/5
Let l(g) be the second derivative of -1/75*g**6 + 0 + 3*g + 1/30*g**4 - 1/15*g**3 + 0*g**2 + 1/50*g**5. Let l(j) = 0. Calculate j.
-1, 0, 1
Let v = 631/426 + 4/213. Factor 0 + 3/2*f**4 - 3/2*f - 3/2*f**2