+ r**7/42 - r**6/8 - 5*r**5/12 - 5*r**4/12 + 38*r**2. Factor g(a).
5*a*(a - 2)*(a + 1)**3
Determine g so that 20*g**3 - 3*g**3 + 2*g**4 + 6*g**2 - 2*g**5 - 7*g**3 = 0.
-1, 0, 3
What is f in 2/3*f + 8/3*f**2 + 0 = 0?
-1/4, 0
Let p(a) be the third derivative of -a**8/2520 + a**7/2520 + 2*a**5/15 - 8*a**2. Let k(l) be the third derivative of p(l). Find z such that k(z) = 0.
0, 1/4
Let j(r) be the second derivative of -2*r**6/15 + 3*r**5/10 + 5*r**4/3 - 4*r**3 - 8*r**2 - 17*r. Suppose j(u) = 0. What is u?
-2, -1/2, 2
Let a(p) = p**2 + 1. Let y(z) = 7*z**2 - 2*z + 5. Let w = -14 - -19. Let g(c) = w*a(c) - y(c). Factor g(o).
-2*o*(o - 1)
Let z be (-5 + 2)*10/3. Let l be (-35)/z - (1 + 2). Find o, given that 1/2*o + l*o**2 + 0 = 0.
-1, 0
Let z be -4 + 4 + -4 - -6. Factor 0 - 2/3*j**z + 2/3*j.
-2*j*(j - 1)/3
Let f(v) be the second derivative of -v**4/12 - v**3 - 4*v**2 + 20*v. Solve f(d) = 0.
-4, -2
Factor 2/15*n**2 - 2/15*n + 0.
2*n*(n - 1)/15
Factor -9/2 - 1/2*v**2 - 3*v.
-(v + 3)**2/2
Find d such that -16/9 - 100/3*d**2 + 316/9*d**4 - 136/9*d + 10/9*d**3 + 14*d**5 = 0.
-2, -1, -2/7, -2/9, 1
Let g(n) be the first derivative of -2/9*n**3 + 0*n - 1/6*n**4 + 2/15*n**5 + 0*n**2 - 3 + 1/9*n**6. Determine h so that g(h) = 0.
-1, 0, 1
Let o(s) be the third derivative of 0*s + 1/240*s**5 + 0 - 1/96*s**4 - 3*s**2 - 1/12*s**3. Factor o(k).
(k - 2)*(k + 1)/4
Factor 1/5*r**4 - 1/5*r**3 - 1/5*r**2 + 0*r + 0 + 1/5*r**5.
r**2*(r - 1)*(r + 1)**2/5
Let k be ((-21)/9)/7*0. Find y, given that k + 0*y**2 - 6/5*y**3 + 8/5*y + 2/5*y**4 = 0.
-1, 0, 2
Solve 0*j - 8/5*j**2 + 0*j**3 + 4/5*j**4 + 4/5 = 0.
-1, 1
Factor -1/8*u**5 + 1/8*u + 0 + 0*u**3 + 1/4*u**4 - 1/4*u**2.
-u*(u - 1)**3*(u + 1)/8
Let a be ((-3)/2)/(6/(-16)). Let l(c) be the second derivative of 0 - 3*c + c**2 + 3/2*c**3 - 1/5*c**5 + 1/4*c**a. What is q in l(q) = 0?
-1, -1/4, 2
Let r(l) be the second derivative of 0 - 1/21*l**3 + 1/42*l**4 + 1/70*l**5 - 1/7*l**2 - 2*l. Determine j so that r(j) = 0.
-1, 1
Let m(i) be the second derivative of i**7/1400 - 13*i**6/1800 + 2*i**5/75 - i**4/30 - i**3/6 - 3*i. Let t(b) be the second derivative of m(b). Factor t(x).
(x - 2)**2*(3*x - 1)/5
Factor 12*p + 4*p**2 + 0*p - 6*p - 2*p + p**3.
p*(p + 2)**2
Let c = -119/3 + 42. Let x = c - 5/6. What is i in -i + 0 + x*i**2 = 0?
0, 2/3
Let r(n) = 2*n**3 - n**2 + 16*n - 12. Let z(v) = v**3 + v**2 - v. Let c(p) = -r(p) + 5*z(p). Solve c(k) = 0 for k.
-4, 1
Let r = -2 + 20/9. Let x(z) be the first derivative of 0*z**2 + 0*z - r*z**3 - 1. Factor x(i).
-2*i**2/3
Let j(w) be the first derivative of -2 - 5/3*w**3 + 0*w + w**2 - 1/5*w**5 + w**4. Factor j(h).
-h*(h - 2)*(h - 1)**2
Let k(i) be the second derivative of -1/6*i**4 + i**3 - 6*i + 0 - 2*i**2. Determine q so that k(q) = 0.
1, 2
Let f be (-90)/105*-7 - (6 + 0). Solve -4/7*o**5 - 8/7*o - 20/7*o**4 + f - 36/7*o**3 - 4*o**2 = 0.
-2, -1, 0
Let i(c) be the third derivative of 0 - 1/240*c**6 - 3*c**2 + 0*c + 0*c**3 + 0*c**4 - 1/60*c**5. Factor i(d).
-d**2*(d + 2)/2
Let x(r) = 12 - 5*r - r - 3 - r**2. Let j be x(-7). Factor 4*y**3 + 2*y**3 + 6 - 15*y + 3*y**j + 0*y**3 + 0*y**2.
3*(y - 1)*(y + 2)*(2*y - 1)
Let g(t) be the first derivative of t**3/7 + 6*t**2/7 + 9*t/7 + 9. Let g(q) = 0. What is q?
-3, -1
Let b be (-54)/6*-1*1. Let a be (4/5)/(b/18). Solve 1/5*p + 6/5*p**2 - 6/5*p**4 + a*p**3 + 0 - 9/5*p**5 = 0 for p.
-1, -1/3, 0, 1
Let o(c) = -c + 5. Let w be o(3). Let b = 3 - w. Factor 16*h**3 - 9*h**4 - h + 7*h - 14*h**2 - b + 2*h**5 + 0.
(h - 1)**4*(2*h - 1)
Let x = 48 - 48. Factor 0*i**3 + x*i + 0 - 2/9*i**4 + 0*i**2.
-2*i**4/9
Let b(k) = k**2 - 3*k + 4. Let t(u) = -u**3 - 6*u**2 + u + 5. Let a be t(-6). Let l(j) = j + 1. Let m(g) = a*b(g) + l(g). Solve m(n) = 0.
1, 3
Let c(o) be the second derivative of -o**7/56 - o**6/40 + 3*o**5/80 + o**4/16 + 7*o. Factor c(p).
-3*p**2*(p - 1)*(p + 1)**2/4
Let r(y) be the first derivative of -5*y**5/18 + 5*y**4/9 - 4*y**3/9 + 3*y**2/2 + 1. Let f(d) be the second derivative of r(d). Factor f(u).
-2*(5*u - 2)**2/3
Let l = -1/218 - -983/436. Find w such that -l - 1/4*w**2 - 3/2*w = 0.
-3
Let j be 0 + (5/2)/5. Let o be (2 - (-56)/(-16))/(-6). Determine n, given that -1/4*n - j*n**2 + 1/2 + o*n**3 = 0.
-1, 1, 2
Let f(j) be the third derivative of 1/10*j**5 - 13/240*j**6 + 0*j - 4*j**2 - 1/672*j**8 + 1/70*j**7 - 1/12*j**4 + 0*j**3 + 0. Factor f(c).
-c*(c - 2)**2*(c - 1)**2/2
Let o(k) be the first derivative of -2 - 5/2*k**2 - 4/3*k**3 - k. Factor o(q).
-(q + 1)*(4*q + 1)
Let h(j) = -j**3 - 7*j**2 + 8*j + 4. Let v be h(-8). Let f be (v - 0)*(-7)/(-14). Factor -1/3 - f*z**2 + 4/3*z - 1/3*z**4 + 4/3*z**3.
-(z - 1)**4/3
Let h = 6 - 5. Suppose -3*p - 4*l - h = 2, 5*p - 2*l - 21 = 0. Let 1 - p - 8*n + 8*n**2 + 4 = 0. Calculate n.
1/2
Let i(q) be the third derivative of q**10/25200 + q**9/6720 + q**8/6720 + q**5/30 + 3*q**2. Let c(y) be the third derivative of i(y). Solve c(x) = 0.
-1, -1/2, 0
Let d = -4 - -8. Let h(z) be the first derivative of -1/2*z - 1/8*z**d + 1/4*z**2 - 2 + 1/6*z**3. Suppose h(t) = 0. Calculate t.
-1, 1
Let d be (1/(-5))/((-30)/25). Let -d*b**2 + 1/2*b - 1/3 = 0. Calculate b.
1, 2
Determine r so that -9*r - 11*r**3 - 14*r**2 + 3*r + r**3 - 2*r**4 = 0.
-3, -1, 0
Let g(o) = -o - 6. Let v be g(-9). Let x(i) be the third derivative of 0*i - 1/21*i**v + 1/420*i**6 + 1/28*i**4 - 2*i**2 + 0 - 1/70*i**5. Factor x(c).
2*(c - 1)**3/7
Let o(x) be the third derivative of x**8/1848 + x**7/1155 - x**6/330 + 7*x**2. What is c in o(c) = 0?
-2, 0, 1
Let j(y) be the second derivative of -1/8*y**4 - y**3 + 0 - 9/4*y**2 - 2*y. Let j(m) = 0. Calculate m.
-3, -1
Let c be (1/5)/((-12)/90*-6). Factor -1/4*w + 1/4*w**3 + c*w**2 - 1/4.
(w - 1)*(w + 1)**2/4
Let t = 1/26 + 70/39. Let -1/6 + 7/6*d - t*d**2 + 5/6*d**3 = 0. Calculate d.
1/5, 1
Let m(f) be the first derivative of 0*f + 1 - 2/3*f**3 + f**2. Let m(s) = 0. What is s?
0, 1
Let i be 76/336 + 2/(-14). Let r(u) be the first derivative of 1 + 0*u - 1/8*u**2 + i*u**3. Suppose r(y) = 0. What is y?
0, 1
Let f = 2 - 7. Let n be f/20 - (-2)/8. Factor -6/5*u**3 - 4/5*u + n - 14/5*u**2.
-2*u*(u + 2)*(3*u + 1)/5
Factor 1/4*u + 1/4*u**2 + 0 - 1/4*u**4 - 1/4*u**3.
-u*(u - 1)*(u + 1)**2/4
Let c be 3 + -4 + (1 + -4 - -4). Let d(s) be the third derivative of 3*s**2 + 1/60*s**5 + c - 1/12*s**4 + 0*s**3 + 0*s + 1/120*s**6. Factor d(a).
a*(a - 1)*(a + 2)
Let d(v) be the first derivative of 0*v + 0*v**5 - 1/5*v**2 + 1/5*v**4 + 0*v**3 - 2 - 1/15*v**6. Let d(l) = 0. What is l?
-1, 0, 1
Factor -4/7 + 8/7*g**3 - 4/7*g**5 + 8/7*g**2 - 4/7*g - 4/7*g**4.
-4*(g - 1)**2*(g + 1)**3/7
Let w(f) be the third derivative of f**10/75600 - f**9/13440 + f**8/20160 - f**5/60 - 6*f**2. Let y(o) be the third derivative of w(o). Let y(z) = 0. What is z?
0, 1/4, 2
Factor -2/11*q**2 + 2/11 + 0*q.
-2*(q - 1)*(q + 1)/11
What is a in -5 + 16*a - 23 - 8 - 2*a**2 + 4 = 0?
4
Let l(t) be the second derivative of t**7/2940 + t**6/2520 - t**4/12 + t. Let c(h) be the third derivative of l(h). Suppose c(m) = 0. What is m?
-1/3, 0
Factor -1/2 - 1/4*o + 3/4*o**2 - 1/4*o**4 + 1/4*o**3.
-(o - 2)*(o - 1)*(o + 1)**2/4
Factor -3 - 2*v**3 - 124*v**2 + 2*v**3 + 133*v**2 + 6*v**3.
3*(v + 1)**2*(2*v - 1)
Let x(s) be the first derivative of -2*s**3/15 + 8*s**2/5 - 32*s/5 + 6. Factor x(f).
-2*(f - 4)**2/5
Solve 10/7*d - 2/7*d**2 - 12/7 = 0.
2, 3
Let g = -13 + 21. Let q(s) be the third derivative of 1/336*s**g - s**2 + 1/24*s**4 + 0 + 0*s + 1/210*s**7 + 1/6*s**3 - 1/60*s**6 - 1/30*s**5. Factor q(n).
(n - 1)**2*(n + 1)**3
Let g = 57 - 113/2. Factor 1/2*w**4 + 1/2 - w**2 - 1/2*w**5 - g*w + w**3.
-(w - 1)**3*(w + 1)**2/2
Let k(w) be the second derivative of 1/3*w**3 + 0 - 3/2*w**2 + w - 1/36*w**4. Factor k(h).
-(h - 3)**2/3
Let c(h) be the first derivative of -h**5/20 - h**4/4 - h**3/3 + 6*h - 6. Let q(l) be the first derivative of c(l). Determine r, given that q(r) = 0.
-2, -1, 0
Let x(l) be the third derivative of l**8/1008 - l**7/210 - l**6/60 + l**5/18 + 7*l**4/24 + l**3/2 - 3*l**2. Determine i, given that x(i) = 0.
-1, 3
Suppose -2*z = -0*z - 2. Suppose -5*p + 9 + z = 0. Factor -3*v - 5*v**4 + 2*v**4 + 4*v**p + 0*v**4 + 3*v**3 - v**2.
-3*v*(v - 1)**2*(v + 1)
Solve -4*l - 12 - 1/3*l**2 = 0.
-6
Factor -v + v**2 + 4 - 7 + 3.
v*(v - 1)
Find l, given that -10/7*l - 12/7 - 2/7