erivative of -2*i**2 - 1/105*i**7 + 0*i**4 + 0*i**6 + 1/30*i**5 + 0*i**3 + 0 + r*i. Factor z(l).
-2*l**2*(l - 1)*(l + 1)
Let x(t) = 3*t**5 - 6*t**4 + 3*t**3 + 24*t**2 - 6*t + 6. Let y(g) = -3*g**5 + 7*g**4 - 3*g**3 - 23*g**2 + 5*g - 5. Let z(m) = -5*x(m) - 6*y(m). Factor z(q).
3*q**2*(q - 3)*(q - 2)*(q + 1)
Let c = -50 - -352/7. Find d such that 2/7*d**3 + 0 + c*d - 4/7*d**2 = 0.
0, 1
Let h(u) be the first derivative of 1 + u - 5/2*u**2 + 8/3*u**3 - u**4. Factor h(l).
-(l - 1)*(2*l - 1)**2
Let 2*k - k**2 + 4*k**3 + 10*k**2 + 3*k**3 = 0. Calculate k.
-1, -2/7, 0
Let n(o) be the third derivative of -o**7/2520 - o**6/720 + o**4/8 + 2*o**2. Let b(a) be the second derivative of n(a). Find t such that b(t) = 0.
-1, 0
Let d(l) = l**4 + l**3 + l**2. Let j(v) = -14*v**4 - 10*v**3 - 6*v**2 - v - 2. Let q(a) = -22*d(a) - 2*j(a). Determine c so that q(c) = 0.
-1, -2/3, 1
Suppose -8 = -4*w - 0*w. Let b(a) = a. Let m be b(w). Determine x, given that 2*x**m + 4*x**3 - 2*x**3 - x - x - 2 = 0.
-1, 1
Let 0 - 3/5*f + 3/5*f**2 = 0. Calculate f.
0, 1
Let p = -36 - -1011/28. Let f = 1/7 + p. Factor 0 - 1/4*v**2 - f*v**3 + 0*v.
-v**2*(v + 1)/4
Let f(p) = 3*p**3 - p**2 - 37*p - 1. Let m be (-320)/(-18) + 4/18. Let r(g) = g**3 - 9*g. Let v(a) = m*r(a) - 4*f(a). Solve v(j) = 0.
-2, 1/3, 1
Factor 0*m + 5*m - 2 - 2*m + 2*m**2 - 3*m**2.
-(m - 2)*(m - 1)
Let d(o) = -7*o**3 - 21*o**2 + 4*o. Let y(x) = -x**3 + x. Let k(j) = -d(j) + 4*y(j). Solve k(s) = 0.
-7, 0
Let m(x) be the third derivative of 0*x**4 + 0*x**6 + 6*x**2 + 0 - 1/90*x**5 + 1/630*x**7 + 0*x + 1/18*x**3. Solve m(k) = 0.
-1, 1
Let r = -11/25 - -47/50. Factor -r*t**4 + 0 + 1/2*t**2 + 1/2*t**5 + 0*t - 1/2*t**3.
t**2*(t - 1)**2*(t + 1)/2
Let r(q) = 20*q**4 + 89*q**3 + 129*q**2 + 72*q + 11. Let p(d) = -d**4 - d**3 - 1. Let b(v) = -p(v) + r(v). Factor b(x).
3*(x + 1)**2*(x + 2)*(7*x + 2)
Let d be (1 - 0)*((-13 - -11) + 5). Solve 0*v**d + 3/2 - 1/2*v**4 - 4*v + 3*v**2 = 0 for v.
-3, 1
Find f, given that 0*f**4 + 0*f**2 + 0 - 1/5*f**5 - 1/5*f + 2/5*f**3 = 0.
-1, 0, 1
Let y(x) = 5*x**2 + 9*x. Let f(m) = m**2 + m. Let v(a) = 12*f(a) - 3*y(a). Let v(w) = 0. Calculate w.
-5, 0
Let 6*k - 3*k**2 - 2*k**2 + 3*k**2 - 4 = 0. Calculate k.
1, 2
Let t(b) = -3*b**4 + 15*b**3 + 9*b**2 + 9*b. Let o(d) = -7*d**4 + 31*d**3 + 18*d**2 + 19*d. Let i(p) = 6*o(p) - 13*t(p). Factor i(l).
-3*l*(l + 1)**3
Let l(s) be the second derivative of -s**7/84 - s**6/30 + s**5/20 + s**4/6 - s**3/12 - s**2/2 + 10*s. Find d, given that l(d) = 0.
-2, -1, 1
Let o(d) be the first derivative of 0*d - 1 - 3/14*d**4 + 4/21*d**3 + 1/7*d**2. Factor o(q).
-2*q*(q - 1)*(3*q + 1)/7
Let m(h) be the third derivative of 0*h + 1/24*h**4 + 1/120*h**6 + 0*h**3 + 0 - 3*h**2 - 1/30*h**5. Factor m(n).
n*(n - 1)**2
Let t = 39 - 19. Let v be (t/(-15))/((-10)/3). Factor 6/5*z**2 + v*z**4 + 0 - 2/5*z - 6/5*z**3.
2*z*(z - 1)**3/5
Let j(g) be the third derivative of g**8/336 + g**7/35 + 7*g**6/60 + 4*g**5/15 + 3*g**4/8 + g**3/3 - 2*g**2. Factor j(c).
(c + 1)**4*(c + 2)
Let u(v) = 8*v**2 + 56*v + 8. Let i(o) = -o**2 - 8*o - 1. Let y(w) = 20*i(w) + 3*u(w). Factor y(j).
4*(j + 1)**2
Suppose 1 = z - 5. Let g = -4 + z. Let 4*l**2 - 3*l**g + 0 - 2 + l = 0. What is l?
-2, 1
Suppose -5 + 101 = 4*j. Let m be j/20*15/6. Let -9*h**3 - 3*h**2 - 3*h - 9*h**2 - m*h**4 + 3*h**2 = 0. Calculate h.
-1, 0
Let n(w) be the third derivative of w**5/90 - w**4/18 + w**3/9 + 3*w**2. What is d in n(d) = 0?
1
Factor 3/5*s**2 + 0 - 6/5*s.
3*s*(s - 2)/5
Factor -6/7 - 9/7*s - 3/7*s**2.
-3*(s + 1)*(s + 2)/7
Let j = -155879/120 - -1299. Let v(i) be the third derivative of -4/3*i**3 + j*i**6 + 0*i + 1/2*i**4 - i**2 - 1/10*i**5 + 0. Suppose v(n) = 0. What is n?
2
Let j(f) be the first derivative of -f**7/3360 - f**6/1440 - 2*f**3/3 + 2. Let p(s) be the third derivative of j(s). Factor p(o).
-o**2*(o + 1)/4
Let s = -5 + 4. Let w(r) = r**2 + r. Let p be w(s). Determine d, given that -d**2 + 0 + 1/2*d**3 + p*d = 0.
0, 2
Let v(f) be the third derivative of f**7/210 + f**6/120 - f**5/60 - f**4/24 - 12*f**2. Factor v(g).
g*(g - 1)*(g + 1)**2
Suppose p - 3*p = 3*c - 3, -5*c = -5. Let q(d) be the third derivative of -1/60*d**5 + p + 0*d - 2*d**2 - 2/3*d**3 - 1/6*d**4. Determine v, given that q(v) = 0.
-2
Let w = 7643/20 - 382. Let o(f) be the second derivative of -2*f - w*f**5 + 0 - 1/4*f**3 - 1/30*f**6 - 1/8*f**2 - 13/48*f**4. Find s, given that o(s) = 0.
-1, -1/2
Let b(k) = -k**2 + k - 1. Let t(l) = -l**3 - 3*l**2 + 13*l - 13. Let m(q) = 4*b(q) - t(q). Suppose m(d) = 0. Calculate d.
-3, 1, 3
Let t(a) = a**4 - 12*a**3 - 2*a**2 + 6*a. Let h(o) = -o**4 + o**3 - o. Let b(q) = 5*h(q) + t(q). Factor b(g).
-g*(g + 1)**2*(4*g - 1)
Suppose 3*q = -2*p - 1 + 8, -3*q - 5*p - 5 = 0. What is v in 3/5*v + 1/5 - 1/5*v**q + 2/5*v**2 - 3/5*v**4 - 2/5*v**3 = 0?
-1, 1
Factor -3*k**4 + 3*k**2 + 0*k**2 + 4*k**4 - 2*k**3 - k**3 - k.
k*(k - 1)**3
Let j(n) = 7*n**2 - 6*n + 1. Let i(r) = -8*r**2 + 6*r - 1. Let k(q) = -6*i(q) - 7*j(q). Let y be k(5). Factor -9*x - 1 - y + 4 + 3*x**2 + 7.
3*(x - 2)*(x - 1)
Suppose -3*j + 4*v = 3*v - 8, j - v = 0. Let d(r) be the third derivative of 0 + 0*r**j + 0*r - r**2 - 1/15*r**3 + 1/150*r**5. Factor d(x).
2*(x - 1)*(x + 1)/5
Let o = 705 - 705. Factor 4/3*g**5 + 0 + 8/3*g**3 - 2/3*g**2 + o*g - 10/3*g**4.
2*g**2*(g - 1)**2*(2*g - 1)/3
Let i(a) be the second derivative of 0 + 0*a**2 + 3/20*a**5 + 0*a**4 + 0*a**3 + 2*a. Factor i(d).
3*d**3
Let k = -78 + 236/3. Let v(u) be the first derivative of k*u**3 + 0*u**2 + 1 + 0*u + 2/5*u**5 + u**4. What is s in v(s) = 0?
-1, 0
Solve 7*t - 8*t**2 - 2*t + 11*t - 3 - 5*t = 0 for t.
3/8, 1
Suppose 19*p**3 + 1 + 83/4*p**2 + 8*p + 21/4*p**4 = 0. What is p?
-2, -1, -1/3, -2/7
Let r = -60 - -108. Let o(c) be the first derivative of 63/5*c**5 - r*c**2 - 16*c - 6*c**4 - 3 - 152/3*c**3. Factor o(a).
(a - 2)*(3*a + 2)**2*(7*a + 2)
Let w = 11 - -4. Let m be (-1 - -4) + w/11. Suppose m*r**2 + 4/11 - 4/11*r**3 + 30/11*r**5 - 52/11*r**4 - 26/11*r = 0. Calculate r.
-1, 1/3, 2/5, 1
Let y(d) = 3*d - 4. Let k be y(3). Suppose 3*l + 0 = k*a + 3, 4*l = a + 4. Factor 0 + 0*s + a*s**2 + 1/2*s**3.
s**3/2
Let p be (-30)/90 + (-22)/(-12). Determine r, given that 3/2*r + 0*r**3 + 3*r**4 - 3*r**2 - p*r**5 + 0 = 0.
-1, 0, 1
Let f(p) be the third derivative of p**7/210 + p**6/360 + p**3/2 - 5*p**2. Let j(d) be the first derivative of f(d). Let j(u) = 0. Calculate u.
-1/4, 0
Let u = 47/220 - -2/55. Let y be (2/6)/((-2)/(-3)). Find r, given that 3/4*r - u - y*r**2 = 0.
1/2, 1
Suppose f = 15*f - 0*f. Factor -4/3*g**3 + f*g + 0 + 4/3*g**2.
-4*g**2*(g - 1)/3
Let x(g) = 21*g**3 + 12*g**2 - 57*g - 57. Let l(r) = -5*r**3 - 3*r**2 + 14*r + 14. Let d(q) = -9*l(q) - 2*x(q). Factor d(p).
3*(p - 2)*(p + 1)*(p + 2)
Let k(t) be the first derivative of -t**4/18 + 6. Suppose k(d) = 0. What is d?
0
Factor 0 + 0*x + 2/3*x**2.
2*x**2/3
Factor -2/5*k**5 - 2/5*k**3 + 0*k**2 + 0*k + 4/5*k**4 + 0.
-2*k**3*(k - 1)**2/5
Let k(u) be the third derivative of -1/2*u**3 + 0 + 5*u**2 + 0*u + 1/40*u**6 - 3/20*u**5 + 3/8*u**4. Factor k(t).
3*(t - 1)**3
Let u(y) = 2*y - 9. Let w be u(0). Let d(c) = -c**2 - 9*c + 2. Let l be d(w). Find x, given that -7/2*x**l - 5/2*x + 1 = 0.
-1, 2/7
Let y(r) be the second derivative of 0 + r**2 - r - 5/12*r**4 + 1/2*r**3. Determine f, given that y(f) = 0.
-2/5, 1
Let r(s) be the third derivative of s**9/211680 - s**8/70560 - s**7/17640 + s**6/2520 - s**5/12 + s**2. Let t(j) be the third derivative of r(j). Factor t(o).
2*(o - 1)**2*(o + 1)/7
Suppose -m - 1 = -0*m. Let j = m - -4. Suppose 5 - j - 4*x**2 + 2*x**2 = 0. Calculate x.
-1, 1
Let l be 12/16 + 2/8. Let i = l + 0. Let 4*h + 8*h**2 - 5*h + 4*h**3 + 6*h + i = 0. What is h?
-1, -1/2
Let h(u) be the second derivative of -2*u**2 - 5*u - 1/5*u**5 - u**4 + 0 - 2*u**3. Factor h(s).
-4*(s + 1)**3
Let y(g) be the first derivative of 0*g - 3 + 2/7*g**2 + 3/14*g**4 - 10/21*g**3. Suppose y(o) = 0. What is o?
0, 2/3, 1
Let o be (-4)/(-1)*(-2)/(-4). Factor 2*p**3 + o*p**2 + 2*p - 2 - 5*p**3 + p**3.
-2*(p - 1)**2*(p + 1)
Let x(d) be the first derivative of d**6/24 - d**4/16 + 8. Factor x(g).
g**3*(g - 1)*(g + 1)/4
Suppose -1/6*u**2 + 0 - 1/2*u = 0. What is u?
-3, 0
Let a be 6/27 - (3 + -3). Factor -2/9*q**4 + 0*q - a*q**2 - 4/9*q**3 + 0.
-2*q**2*(q + 1)**2/