**4 + 4*l**3 - 2*l**2 + 1. Let r(x) = 0. Calculate x.
0, 1
Let a(v) = -3*v**2 - 21*v + 23. Let n(f) = f**2 + 10*f - 11. Let o(p) = -2*a(p) - 5*n(p). Let k be o(7). Let -2/7*t**k - 2/7 - 4/7*t = 0. Calculate t.
-1
Let n(b) be the third derivative of -b**8/23520 + b**7/3528 + b**6/1260 + 3*b**5/20 - 5*b**2. Let a(l) be the third derivative of n(l). Factor a(w).
-2*(w - 2)*(3*w + 1)/7
Let o(y) = y**2 + 1. Let c(s) = -3*s**2 - 2. Let d(f) = -6*c(f) - 15*o(f). Suppose d(l) = 0. Calculate l.
-1, 1
Let j(y) be the first derivative of -y**8/3920 + y**7/490 - y**6/168 + y**5/140 - 5*y**3/3 - 2. Let w(z) be the third derivative of j(z). Factor w(o).
-3*o*(o - 2)*(o - 1)**2/7
Let u be 1784/28 + 4/14. Let z = u - 190/3. Solve -4/3 - z*f + 2/3*f**2 = 0.
-1, 2
Factor 44*u - 26*u + 3*u**2 - 42*u + 21.
3*(u - 7)*(u - 1)
Solve 1 + 459*y + 35*y**2 - 1 - 5*y**3 - 509*y = 0 for y.
0, 2, 5
Factor -2/5 - 6/5*r**2 - 2/5*r**3 - 6/5*r.
-2*(r + 1)**3/5
Suppose -19 - 1 = -5*y. Suppose -2*f = 5*b - 20, 2*f + 2 = 4*b + 4. Factor 5*u**y - 5*u**2 + 1 - 5*u**2 - u - 2*u**3 + 3*u**f + 4*u**2.
(u - 1)*(u + 1)**3*(3*u - 1)
Find l, given that 3/2*l - 21/4*l**2 + 21/4*l**4 + 0 - 3/2*l**3 = 0.
-1, 0, 2/7, 1
Let j(o) be the first derivative of -o**4/6 + 10*o**3/9 - 8*o**2/3 + 8*o/3 - 16. Determine d, given that j(d) = 0.
1, 2
Let p(f) = f**3 - 3*f**2 + 2*f - 4. Let w be p(3). Suppose -3*s + 3*n - 5 = -w, -2*s + 4*n - 8 = 0. Let -i**3 - 3/2*i**s + 0 + i + 3/2*i**4 = 0. What is i?
-1, 0, 2/3, 1
Let a = 1542 + -1540. Solve 32/13*n**a + 2/13 - 16/13*n = 0.
1/4
Let f be 11/14 + -2 + 84/49. Factor f*y + 0 + 1/2*y**2.
y*(y + 1)/2
Let g = -15 - -15. Let a(n) be the third derivative of g*n - 2*n**2 + 0*n**3 - 1/240*n**5 + 0 - 1/48*n**4. Factor a(t).
-t*(t + 2)/4
Let r(n) be the second derivative of -n**10/60480 - n**9/30240 + n**8/13440 + n**7/5040 - n**4/6 + 3*n. Let s(q) be the third derivative of r(q). Factor s(o).
-o**2*(o - 1)*(o + 1)**2/2
Let l(z) = z**3 + 4*z**2 - 5*z + 2. Let a be l(-5). Factor 4 - 4 - a*t + t - t**2.
-t*(t + 1)
Let u(q) be the third derivative of -q**6/40 + 3*q**5/20 - 3*q**4/8 + q**3/2 + 5*q**2. Factor u(y).
-3*(y - 1)**3
Let d be ((-24)/5 - -4)/((-4)/10). Let 1/2 + 1/4*b - 21/4*b**2 + d*b**3 + 7*b**4 = 0. Calculate b.
-1, -2/7, 1/2
Let o = 41/15 - 272/105. Solve 0 - o*n**2 + 2/7*n = 0.
0, 2
Factor 2/13*f**2 - 12/13 - 10/13*f.
2*(f - 6)*(f + 1)/13
Let k(l) be the first derivative of -2/25*l**5 + 2/5*l + 1/5*l**4 + 4 - 2/5*l**2 + 0*l**3. Find r, given that k(r) = 0.
-1, 1
Let n(f) = -f. Let x(j) = 2*j**4 - 6*j**2 - 10*j. Let v(i) = 12*n(i) - 2*x(i). Factor v(d).
-4*d*(d - 2)*(d + 1)**2
Let b(n) = -5*n**3 - 11*n**2 - 11*n - 3. Let j(d) be the second derivative of d**5/20 + d**4/12 + d**3/6 - 2*d. Let h(g) = -b(g) - 2*j(g). Factor h(v).
3*(v + 1)**3
Let u be 0 - 1 - (8 - 16). Let z = 10 - u. Let -2*c**2 - 5*c**z - 2*c**2 + 5*c**2 + 4*c**4 = 0. Calculate c.
0, 1/4, 1
Let m(w) = -11*w**3 + 8*w**2 + w - 6. Let d be (4/(-8))/(3/(-48)). Let a(l) = -7*l**3 + 5*l**2 + l - 4. Let u(z) = d*a(z) - 5*m(z). Solve u(c) = 0 for c.
-2, 1
Solve 1/3*m + 5/3*m**3 + 2/3 - 8/3*m**2 = 0 for m.
-2/5, 1
Suppose 10*g = 7*g. Let y(v) be the first derivative of 2 + 0*v**3 + 0*v + 1/15*v**6 + g*v**2 - 4/25*v**5 + 1/10*v**4. Factor y(t).
2*t**3*(t - 1)**2/5
Let q(p) be the first derivative of -p**6/3 - 6*p**5/5 - p**4 + 4*p**3/3 + 3*p**2 + 2*p + 7. Suppose q(v) = 0. What is v?
-1, 1
Let b(z) be the third derivative of z**5/15 - z**4/3 - 16*z**3/3 + 22*z**2. Factor b(t).
4*(t - 4)*(t + 2)
Determine v, given that -19/5*v**2 + 0 - 6/5*v + 7/5*v**3 = 0.
-2/7, 0, 3
Let d(c) = c**2 + 209*c + 1729. Let q(n) = -n**2 - 314*n - 2593. Let s(t) = 8*d(t) + 5*q(t). Determine u, given that s(u) = 0.
-17
Let b = -197 - -11821/60. Let w(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 3*z**2 - b*z**5 - 1/210*z**7 + 0*z - 1/60*z**6. Let w(i) = 0. What is i?
-1, 0
Let f(o) be the third derivative of o**7/455 - o**6/195 - 3*o**5/130 + 3*o**4/26 - 8*o**3/39 - 4*o**2 - 3. Determine x, given that f(x) = 0.
-2, 1, 4/3
Factor -27/5*m**3 + 0 - 21/5*m**2 - 3/5*m**5 - 6/5*m - 3*m**4.
-3*m*(m + 1)**3*(m + 2)/5
Suppose -t = 1 - 3. Suppose -48*w + 47*w = 0. Factor 2/3*m - 2/3*m**t + w.
-2*m*(m - 1)/3
Let v(g) be the first derivative of g**7/315 - g**6/90 + g**5/90 - 3*g**2/2 + 2. Let q(f) be the second derivative of v(f). Suppose q(y) = 0. Calculate y.
0, 1
Let m(l) = 3*l**3 - l**2 + 12*l + 12. Let i(y) = 2*y**3 - y**2 + 11*y + 12. Let r(k) = 4*i(k) - 3*m(k). What is f in r(f) = 0?
-2, 3
Factor 0*v**2 + 4*v**2 + 6*v + 4 + 4*v - 2*v.
4*(v + 1)**2
Suppose 0*c + 0 + c**2 + 1/2*c**5 + 5/2*c**3 + 2*c**4 = 0. Calculate c.
-2, -1, 0
What is a in -15*a - 2*a**4 - 315*a**3 - 5*a**2 + 10 - 3*a**4 + 330*a**3 = 0?
-1, 1, 2
Let x(z) be the first derivative of 3*z**5/4 - 3*z**4/2 - 9*z**3/4 + 3*z**2 + 3*z + 45. Suppose x(y) = 0. What is y?
-1, -2/5, 1, 2
Let x(d) be the third derivative of d**6/360 - d**4/24 + d**3/9 - 8*d**2. Determine y so that x(y) = 0.
-2, 1
Let n(b) be the second derivative of -1/15*b**6 - 1/12*b**4 + 6*b - 1/84*b**7 + 0*b**3 + 0 + 0*b**2 - 1/8*b**5. Find f such that n(f) = 0.
-2, -1, 0
Let c(d) = 8*d**4 + 4*d**3 - 8*d**2 - 9*d + 5. Let u(i) = i**4 + i**3 - i + 1. Suppose -6 = -3*p, 3*a - 5*p = -a - 6. Let r(o) = a*c(o) - 5*u(o). Factor r(x).
x*(x - 2)*(x + 1)*(3*x + 2)
Suppose 4*b + 35 = -149. Let g = -46 - b. Suppose g - 14/13*q**2 + 4/13*q - 4/13*q**3 + 14/13*q**4 = 0. Calculate q.
-1, 0, 2/7, 1
Find v such that -2/3*v + 2/3*v**3 + 0 + 0*v**2 = 0.
-1, 0, 1
Let -2/3*q**2 + 0 - q + 1/3*q**3 = 0. Calculate q.
-1, 0, 3
Let j(z) be the third derivative of -z**5/40 - z**4/8 - z**3/4 - 7*z**2. Factor j(q).
-3*(q + 1)**2/2
Let v = 175 + -347/2. Factor -3/2*i**4 + i**3 + 1/2 + 1/2*i**5 + i**2 - v*i.
(i - 1)**4*(i + 1)/2
Let q be 4/(-10)*30/(-8). Solve -q*z**2 + 0*z + 3/2 = 0 for z.
-1, 1
Factor v + 0 - 1/5*v**2.
-v*(v - 5)/5
Suppose -18*g + 20*g + 2*o + 6 = 0, 4*o + 12 = g. Suppose 2/9*j**2 + g + 4/9*j = 0. Calculate j.
-2, 0
Let i(k) be the third derivative of k**6/360 + k**5/90 + k**4/72 + 5*k**2. Find x, given that i(x) = 0.
-1, 0
Let s(c) be the second derivative of -c**4/48 + c**3/2 - 9*c**2/2 - 3*c. Solve s(n) = 0.
6
Suppose 34 = 3*j + 28. Let y(b) be the second derivative of 2*b + 1/6*b**3 - 1/42*b**7 - 1/6*b**4 + 0*b**5 + 0*b**j + 1/15*b**6 + 0. Factor y(o).
-o*(o - 1)**3*(o + 1)
Let y(p) be the third derivative of p**7/105 - p**6/30 + p**5/30 + 4*p**2. Factor y(b).
2*b**2*(b - 1)**2
Solve -12/7*n**2 + 0 + 0*n - 2*n**3 + 6/7*n**4 = 0 for n.
-2/3, 0, 3
Let w(g) = -g**2 + g. Let r(z) = 3*z**2 - 10*z - 5. Let x(q) = r(q) + 4*w(q). Factor x(m).
-(m + 1)*(m + 5)
Let b(d) = -4*d**4 + 8*d**3 + d + 5. Let w(h) = -5*h**4 + 9*h**3 + 2*h + 6. Let x(f) = 6*b(f) - 5*w(f). Determine c, given that x(c) = 0.
-2, 0, 1
Let d(h) be the second derivative of -h**4/36 + h**3/18 + h**2 - 18*h. Factor d(k).
-(k - 3)*(k + 2)/3
Let z(s) be the first derivative of -s**6/6 + 3*s**5/5 - s**4/2 - 2*s**3/3 + 3*s**2/2 - s - 2. Factor z(y).
-(y - 1)**4*(y + 1)
Suppose -4*i + 1 = g - 11, 3*g + 9 = 3*i. What is t in t - 3/2*t**2 + 0 + 1/2*t**i = 0?
0, 1, 2
Let b(a) be the second derivative of -a + 0*a**4 + 1/75*a**6 + 0 + 0*a**2 - 1/50*a**5 + 0*a**3. Factor b(k).
2*k**3*(k - 1)/5
Suppose -15*n + 233 = 158. What is i in 0*i**2 + 0*i + 0 + 2/11*i**n - 2/11*i**3 + 0*i**4 = 0?
-1, 0, 1
Suppose -a + 12 = 2*a. Factor -2*s**2 + 3 + a*s + 3 - 2 - 6.
-2*(s - 1)**2
Let z be (-3)/((-1008)/68) + (-6)/(-8). Let k(g) be the second derivative of 4/7*g**2 + 0 - 3*g - z*g**3 + 25/42*g**4. Factor k(i).
2*(5*i - 2)**2/7
Let b(g) be the third derivative of -g**7/525 + g**6/300 + g**5/75 + 18*g**2. Determine m, given that b(m) = 0.
-1, 0, 2
Let f(t) be the first derivative of -t**6/420 + t**4/84 + 5*t**2/2 + 2. Let u(i) be the second derivative of f(i). Factor u(o).
-2*o*(o - 1)*(o + 1)/7
Suppose -35 = -5*j - 4*u, 30 = -0*j + 5*j + 3*u. Suppose 9 + 2*a**2 - j*a**2 + 0*a**2 - 2*a**2 + 6*a = 0. Calculate a.
-1, 3
Factor 2*q - 1/2*q**2 - 2.
-(q - 2)**2/2
Factor -4/11*a + 0 + 2/11*a**3 + 2/11*a**2.
2*a*(a - 1)*(a + 2)/11
Let u be (-2)/(-2) - (-5)/(-7). Let h = 737 - 734. Factor 24/7*c + 16/7 + 12/7*c**2 + u*c**h.
2*(c + 2)**3/7
Let z(q) be the first derivative of -q