ative of 0*x + 1/6*x**4 + 1/6*x**3 - 1/12*x**5 - 7/180*x**6 + 0 - x**2. Let a(j) be the first derivative of y(j). Factor a(p).
-2*(p + 1)*(7*p - 2)
Determine o, given that 190*o - 190*o - 3*o**2 = 0.
0
Let h = 133 - 129. Factor 1/2*f**3 + 1/4*f**5 - 1/2*f**2 - 3/4*f - 1/4 + 3/4*f**h.
(f - 1)*(f + 1)**4/4
Suppose 0 = 4*a + 5*j + 9, 5*a = 5*j + 22 + 23. Suppose -a*h - 3*l = 6, -h + 5*l + 10 = h. Determine g so that h*g - 2/9*g**2 + 0 = 0.
0
Let j be (14/(-4) + 3)*-10. Let z(c) be the second derivative of 0*c**4 - c + 0*c**3 + 0*c**2 + 0 + 1/30*c**6 - 1/30*c**j. What is s in z(s) = 0?
0, 2/3
Let d(g) = 3*g**2 - 13*g + 4. Let h be d(4). Factor -1/3*k**4 + 1/3*k**2 + 0 + 0*k + h*k**3.
-k**2*(k - 1)*(k + 1)/3
Let y be 40/(-50)*(2 + -7). Let p be 2/8 - (-1 - -1). Solve -3/4*a**y + p*a**3 + 1/4*a - 1/2*a**5 + 0 + 3/4*a**2 = 0.
-1, -1/2, 0, 1
Let s(c) be the third derivative of -c**8/84 + 2*c**7/35 - c**6/15 + 11*c**2. Factor s(l).
-4*l**3*(l - 2)*(l - 1)
Let k(b) = -b + 1. Let z(n) = -3*n**3 - n + 4. Let j(d) = 4*k(d) - z(d). Factor j(a).
3*a*(a - 1)*(a + 1)
Let j = -33 - -36. Let o(z) be the first derivative of -3/7*z**2 - 1/14*z**4 + 3 - 2/7*z - 2/7*z**j. Determine b so that o(b) = 0.
-1
Let a(b) be the first derivative of -b**7/210 + b**6/30 - b**5/10 + b**4/6 - b**3 - 2. Let t(y) be the third derivative of a(y). Solve t(m) = 0.
1
Factor 1/2*f + 0 + 0*f**2 - 1/2*f**3.
-f*(f - 1)*(f + 1)/2
Let y(d) be the third derivative of 2*d**5/75 + 13*d**4/20 - 2*d**3/3 + 4*d**2 - 4*d. Solve y(h) = 0.
-10, 1/4
Let j(t) be the third derivative of t**6/660 - t**5/330 - t**4/66 + 3*t**2. Factor j(o).
2*o*(o - 2)*(o + 1)/11
Let x(b) be the second derivative of -3*b**7/98 + 11*b**6/70 - 19*b**5/140 - 11*b**4/28 + 4*b**3/7 - 2*b**2/7 - 77*b. Let x(a) = 0. Calculate a.
-1, 1/3, 2
Find i such that 0 + i**2 - 1/4*i**3 - i = 0.
0, 2
Suppose 5*o + 216 = 7*o. Let v = 544/5 - o. Find q such that v - 2/5*q - 2/5*q**2 = 0.
-2, 1
Let m(f) = -f**2 + 7*f + 1. Let q be m(6). Suppose 15 = -4*d + q*d. Find b such that -3 + b**d - b**4 + 4 - b**3 + b**2 - 1 = 0.
-1, 0, 1
Suppose 3*z + 19 = 28. Find f such that 10/3*f + 4/3 - 2/3*f**4 + 7/3*f**2 - 1/6*f**z - 1/6*f**5 = 0.
-2, -1, 2
Let y(t) be the third derivative of t**6/120 - t**5/10 + t**4/2 - 4*t**3/3 + 6*t**2. Find x such that y(x) = 0.
2
Let i(r) be the first derivative of r**6/300 - r**5/50 + r**4/20 - r**3/15 - 2*r**2 + 2. Let b(y) be the second derivative of i(y). Factor b(v).
2*(v - 1)**3/5
Let y be 2/24*6 + (-27)/78. Factor 8/13 - y*x**2 + 8/13*x - 2/13*x**3.
-2*(x - 2)*(x + 1)*(x + 2)/13
Let a(k) be the third derivative of -k**5/210 + k**4/84 + 16*k**2. Factor a(v).
-2*v*(v - 1)/7
Factor -1/2 - u**3 + 1/2*u + u**2 - 1/2*u**4 + 1/2*u**5.
(u - 1)**3*(u + 1)**2/2
Solve 131*v**3 - 115*v**3 + 5*v + 3*v + 36*v**2 = 0 for v.
-2, -1/4, 0
Let j = 37 + -16. Let l(r) = -r**4 - r**2 - r. Let y(m) = -8*m**4 + 2*m**3 - 8*m**2 - 7*m. Let p(n) = j*l(n) - 3*y(n). Suppose p(h) = 0. Calculate h.
0, 1
Let k be 15/70 - (-6)/21. Let r(p) be the first derivative of k*p**2 + 0*p + 1/3*p**3 + 3. Factor r(l).
l*(l + 1)
Let x be (-2)/54*(-24)/16. Let a(z) be the first derivative of 1 + 0*z**4 + 0*z - 2/15*z**5 + 1/6*z**2 + 2/9*z**3 - x*z**6. What is j in a(j) = 0?
-1, 0, 1
Let t be 99/54 - 1/(-6). Suppose 10 = -3*l + t*x, -2*x + 9 + 1 = 2*l. Factor 3/2*g + 3/4*g**2 + l.
3*g*(g + 2)/4
Let s(c) be the third derivative of 0 + 0*c - 1/180*c**5 + 0*c**4 + 1/18*c**3 - 4*c**2. Factor s(i).
-(i - 1)*(i + 1)/3
Let c(l) be the first derivative of l**6/120 + l**5/40 + l**4/48 - 2*l + 1. Let d(i) be the first derivative of c(i). Factor d(x).
x**2*(x + 1)**2/4
Solve -29 + 55 + z**2 - 30 = 0.
-2, 2
Let r(w) be the third derivative of -3*w**7/490 - 2*w**6/35 - 3*w**5/28 + 9*w**4/28 - 5*w**2. Suppose r(d) = 0. What is d?
-3, 0, 2/3
Let y(s) = -10*s**4 - 15*s**2 + 5*s. Let q(c) = -c**4 + c. Let j(g) = -15*q(g) + y(g). Factor j(m).
5*m*(m - 2)*(m + 1)**2
Let z = 97 - 871/9. Factor -2/3*l**2 + 0 + 0*l - z*l**3.
-2*l**2*(l + 3)/9
Suppose 81 = c - 2*k, -239 = -5*c + 2*c + 5*k. Let g = -437/6 + c. Factor s**2 - 2/3*s + 1/6 - 2/3*s**3 + g*s**4.
(s - 1)**4/6
Let q(r) be the first derivative of -8/9*r**3 - 1/9*r**6 + 0*r + 0*r**2 + 0*r**4 + 2 + 2/5*r**5. Factor q(n).
-2*n**2*(n - 2)**2*(n + 1)/3
Let a be (-1080)/(-78) - (-6)/39. Let 8*u**4 - u**5 - a*u**4 + 8*u**4 = 0. Calculate u.
0, 2
Let z(x) be the second derivative of -x**6/240 + x**3/3 - 4*x. Let i(s) be the second derivative of z(s). Determine q so that i(q) = 0.
0
Solve 11*p - 5*p + 2 - p**2 - 7*p = 0.
-2, 1
Solve 6/7*m**2 - 12/7 - 2*m = 0.
-2/3, 3
Let b(t) be the second derivative of 0 + 1/16*t**4 + 0*t**2 - 1/4*t**3 - 10*t. Factor b(g).
3*g*(g - 2)/4
Let q(n) = n + 4. Let k(z) = z. Let l(d) = 2*k(d) - q(d). Let b be l(6). Factor -4*t + 3*t**3 - 2*t**3 + 5*t**4 + 3*t - t**b - 4*t**4.
t*(t - 1)*(t + 1)**2
Let n(t) = 103*t**4 + 79*t**3 - 99*t**2 - 43*t + 27. Let a(d) = -154*d**4 - 119*d**3 + 148*d**2 + 65*d - 41. Let o(l) = -5*a(l) - 7*n(l). Solve o(m) = 0 for m.
-1, 4/7
Determine d so that d**4 + 0*d**3 - 2*d**3 + 3*d**5 + 6*d**2 - 4*d**4 - 3 - 4*d**3 + 3*d = 0.
-1, 1
Let a(q) be the first derivative of -q**6/3 + 2*q**5 - 9*q**4/2 + 14*q**3/3 - 2*q**2 - 4. Let a(i) = 0. What is i?
0, 1, 2
Factor -2/15*d**3 - 8/15*d + 0 - 8/15*d**2.
-2*d*(d + 2)**2/15
Let j = -995/12 + 83. Let h(x) be the second derivative of 0 - x**3 + 9/2*x**2 + j*x**4 + 2*x. Suppose h(n) = 0. Calculate n.
3
Let g = 35 - 21. Let z be (-14)/49 - (-32)/g. Factor 0*k + 1/5*k**z + 1/5*k**4 + 2/5*k**3 + 0.
k**2*(k + 1)**2/5
Let x(u) be the second derivative of u**6/900 + u**5/100 + u**4/30 + u**3/6 + 3*u. Let v(w) be the second derivative of x(w). Let v(q) = 0. What is q?
-2, -1
Let c(s) be the first derivative of s**7/1260 - s**5/60 - s**4/18 + s**3/3 - 4. Let a(y) be the third derivative of c(y). Factor a(g).
2*(g - 2)*(g + 1)**2/3
Let p(w) be the third derivative of w**8/33600 + w**7/4200 + w**6/1200 + w**5/600 + w**4/24 + w**2. Let c(i) be the second derivative of p(i). Factor c(q).
(q + 1)**3/5
Let t(d) be the first derivative of d**4 - 8*d**3 + 18*d**2 + 45. Factor t(o).
4*o*(o - 3)**2
Let s(g) be the second derivative of -g**6/30 - g**5/4 - g**4/4 + 3*g**3/2 - 15*g. Factor s(v).
-v*(v - 1)*(v + 3)**2
Let y = -5 + 8. Determine q so that 3*q**3 - q + 0*q + q**y - 3*q**3 = 0.
-1, 0, 1
Let j(t) be the third derivative of t**5/45 - t**4/9 - 7*t**2. Determine h, given that j(h) = 0.
0, 2
Let v(g) = -3*g**3 + 3*g**2 - 3*g + 9. Let q(p) = p**3 - p**2 - 1. Let d(s) = -6*q(s) - v(s). Factor d(f).
-3*(f - 1)**2*(f + 1)
Let f(p) be the second derivative of 7*p**5/30 - 23*p**4/18 + 20*p**3/9 - 4*p**2/3 + 2*p. Suppose f(r) = 0. Calculate r.
2/7, 1, 2
Determine l so that 8/9 + 22/9*l**2 - 4/9*l**3 - 26/9*l = 0.
1/2, 1, 4
Let k(z) be the first derivative of z**5/120 + 5*z**4/144 + z**3/18 + 9*z**2/2 + 9. Let o(v) be the second derivative of k(v). Find x such that o(x) = 0.
-1, -2/3
Factor 0*s**2 - 4/7*s**3 + 4/7*s**5 + 0*s + 0 + 0*s**4.
4*s**3*(s - 1)*(s + 1)/7
Let o(g) = -g**3 - 3*g**2 + 4*g + 5. Let d be o(-4). Factor 2*w**3 - 7*w**2 - d*w**2 - 2*w**4 + 14*w**2 - 2*w.
-2*w*(w - 1)**2*(w + 1)
Let h = 4 + -2. Suppose 4*u + 4 = h*x, -2 = -u - u. Factor 0*a**2 - 2/9*a**x + 0*a**3 + 0*a - 2/9*a**5 + 0.
-2*a**4*(a + 1)/9
Let b be 3/(6/(-4)) - 2. Let i be (-4)/b - -2*1. Find x such that -2 + 6*x**2 + 14*x + 2 - 2*x**i - 18*x = 0.
0, 1, 2
Let h = 2/479 - -1906/2395. Factor h + 4/5*k + 1/5*k**2.
(k + 2)**2/5
Let h be (-298)/(-21) - 14 - (-4)/42. Factor 0*u + h*u**2 + 0.
2*u**2/7
Suppose -8 = -9*g + 5*g. What is d in 0 - 1/4*d - 1/4*d**3 - 1/2*d**g = 0?
-1, 0
Factor 16*p - 30*p**2 + 20*p - 8*p**3 - p**3 - 8 - 16*p**3.
-(p + 2)*(5*p - 2)**2
Let i(k) be the second derivative of -k**8/96 - 3*k**7/140 - k**6/120 - 3*k**2/2 + k. Let p(d) be the first derivative of i(d). Factor p(g).
-g**3*(g + 1)*(7*g + 2)/2
Let w = -571 + 574. Factor 19/2*n**w + 25/2*n**2 + 7/2*n**4 + 8*n + 2 + 1/2*n**5.
(n + 1)**3*(n + 2)**2/2
Let d(h) be the third derivative of h**6/24 - 7*h**5/60 - h**4/3 + 2*h**3/3 - 30*h**2. Suppose d(s) = 0. What is s?
-1, 2/5, 2
Let x(r) = -6*r**2 + 24*r - 35. Let d(a) = 7*a - 3*a**2 - 5 + 5*a - 13. Let l(t) = 11*d(t) - 6*x(t). Factor l(c).
3*(c - 2)**2
Factor 