 the third derivative of -2*k**7/75 - k**6/30 + 2*k**5/75 - 8*k**2. Factor p(r).
-4*r**2*(r + 1)*(7*r - 2)/5
Let s(g) = -12*g - 60. Let y be s(-5). Determine d so that 1/3*d + 1/3*d**2 + y = 0.
-1, 0
Let k be -1*(23/(-46))/((-2)/(-12)). Factor z**2 - 1/2*z**4 - 2*z**k - 9/2 + 6*z.
-(z - 1)**2*(z + 3)**2/2
Let x(i) be the third derivative of -i**8/5040 + i**6/1080 - 5*i**3/6 + i**2. Let d(o) be the first derivative of x(o). Suppose d(j) = 0. What is j?
-1, 0, 1
Let j(d) = -d**3 - 5*d**2 + 6. Let f be j(-5). Let t = f + -4. Factor -6*q**4 + t - 10*q**3 - 4*q**2 - 2.
-2*q**2*(q + 1)*(3*q + 2)
Let z = 4574/5 - 912. Let r be 1 - ((-4)/5 - -1). Suppose 2/5*o**2 - z*o + 58/5*o**4 - r + 4*o**5 + 10*o**3 = 0. Calculate o.
-1, -2/5, 1/2
Let a(o) be the first derivative of -2 + 1/12*o**3 + 1/2*o**2 + o. Suppose a(t) = 0. Calculate t.
-2
Suppose f = k - 3*k + 10, -3*k + 21 = 3*f. Let i(w) be the first derivative of 0*w + 2/21*w**k + 2/7*w**2 - 3. Find u such that i(u) = 0.
-2, 0
Solve 1352 - 32*t + 4*t**2 + 412 - 136*t = 0.
21
Let j be 6*(5/(-3) - -2). Factor -6*t - 4*t**2 + 5*t + 2 + 3*t**j.
-(t - 1)*(t + 2)
Let u(b) be the first derivative of 1/4*b**4 + 0*b - b**2 - 1/3*b**3 - 2. Factor u(d).
d*(d - 2)*(d + 1)
Suppose 0 = -4*h - h - d + 13, 5 = h + d. Let p(v) be the third derivative of 3*v**h + 0*v**3 - 1/150*v**5 + 1/60*v**4 + 0*v + 0. What is l in p(l) = 0?
0, 1
Let v(x) be the third derivative of x**9/4536 - x**7/1260 + x**3/3 + 3*x**2. Let i(j) be the first derivative of v(j). Factor i(n).
2*n**3*(n - 1)*(n + 1)/3
Let k(g) be the third derivative of g**5/180 - g**4/12 - 7*g**3/18 + 49*g**2. Factor k(o).
(o - 7)*(o + 1)/3
Let p(h) be the third derivative of h**7/15 + h**6/6 - 26*h**5/105 + 2*h**4/21 + 4*h**2. Determine s, given that p(s) = 0.
-2, 0, 2/7
Let d(l) = -l**3 + l**2 + 1. Let s(j) = -j**3 - j + 6. Let i(o) = -4*d(o) + s(o). Suppose i(r) = 0. Calculate r.
-2/3, 1
Let n = -249 - -1745/7. Factor 0*q**2 - n + 4/7*q**3 - 4/7*q + 2/7*q**4.
2*(q - 1)*(q + 1)**3/7
Let h(k) be the first derivative of 0*k - 2 + 1/8*k**4 + 1/5*k**5 + 1/12*k**6 + 0*k**2 + 0*k**3. Let h(b) = 0. Calculate b.
-1, 0
Suppose 1/5*r + 0 + 1/5*r**3 + 2/5*r**2 = 0. Calculate r.
-1, 0
Let u(n) be the third derivative of 0*n**3 - 13/105*n**7 + 1/12*n**4 + 1/42*n**8 + 0*n + 1/4*n**6 + 0 - 7/30*n**5 + 7*n**2. Determine b, given that u(b) = 0.
0, 1/4, 1
Let z(r) = 2*r - 9. Let u be z(6). Let b = -1 + u. Find w, given that 2*w**2 - b*w**4 + 2*w**2 + 3*w**3 - 5*w**3 = 0.
-2, 0, 1
Let k(d) = -5*d - 16. Let g be k(-4). Let -2/5*j**g - 6/5*j**2 - 6/5*j**3 + 0 - 2/5*j = 0. What is j?
-1, 0
Suppose 0 = o - o + 4*o. Let x(c) be the second derivative of o*c**4 + 0 - c + 1/30*c**6 + 0*c**5 + 0*c**3 + 0*c**2. Suppose x(t) = 0. Calculate t.
0
Let b = 3 + -1. Let w be b + 2 + (-1 - 0). Solve -5 - 4*h**w + 2*h + 3 + 2*h + 2*h**4 = 0 for h.
-1, 1
Let q(t) be the third derivative of -t**7/945 + t**5/90 - t**4/54 - 3*t**2. Factor q(c).
-2*c*(c - 1)**2*(c + 2)/9
Factor -69*t**3 - 4*t**2 + 8*t**2 + 2*t**2 + 72*t**3.
3*t**2*(t + 2)
Suppose -89 = -56*v + 79. Find s such that -v*s - 3/2*s**2 - 3/2 = 0.
-1
Let u be 5*2/55 + 2/(-11). Let z(f) be the second derivative of 0*f**5 - 3*f + 1/30*f**6 + 0*f**3 - 1/6*f**4 + 1/2*f**2 + u. Solve z(s) = 0 for s.
-1, 1
Let 2/9*o**5 - 112/9*o**2 - 2*o**4 + 32/3*o + 64/9*o**3 - 32/9 = 0. What is o?
1, 2
Let a(p) be the first derivative of 5*p**3/3 + 65*p**2/2 + 65. Find h such that a(h) = 0.
-13, 0
Suppose o - 5 = -5*c + 6*c, 0 = 5*o - c - 29. Let x(i) be the first derivative of -4/3*i**3 + 2 - 1/6*i**o + 3/4*i**4 + 0*i + 2/5*i**5 - 2*i**2. Solve x(y) = 0.
-1, 0, 2
Find d, given that 8/17*d + 8/17 + 2/17*d**2 = 0.
-2
Let f(w) be the first derivative of -w**4/14 + w**2/7 - 7. Factor f(h).
-2*h*(h - 1)*(h + 1)/7
Factor -13*g**2 + g**2 + 16 + 36*g - 3*g**2 + 5*g**2.
-2*(g - 4)*(5*g + 2)
Factor 4*g**4 + 9*g**4 - 17*g**2 - g**4 + 21*g**2 - 4*g**5 - 12*g**3.
-4*g**2*(g - 1)**3
Let m(i) be the first derivative of -i**6/480 + i**5/80 - i**4/32 + i**3/24 + i**2 + 1. Let v(o) be the second derivative of m(o). Factor v(n).
-(n - 1)**3/4
Factor -2*a - 15*a**2 + 6*a + 0*a + 2*a.
-3*a*(5*a - 2)
Let x(b) be the third derivative of -4*b**2 - 1/50*b**7 + 0*b**3 + 0 + 0*b - 1/10*b**4 - 1/5*b**5 - 23/200*b**6. Let x(o) = 0. What is o?
-2, -1, -2/7, 0
Find q such that 12/5*q - 9/5 - 3/5*q**2 = 0.
1, 3
Let o(z) = -z**3 - 4*z**2 + 4. Let c be o(-4). Suppose 0 = 3*g - 3, c*r - 3 - 3 = 2*g. Factor -1/2 - 1/2*a**r + a.
-(a - 1)**2/2
Let v(w) be the second derivative of w**5/40 - w**3/12 - 2*w. Determine d so that v(d) = 0.
-1, 0, 1
Let u = -73/5 + 15. Suppose -2/5 - u*d**2 + 4/5*d = 0. What is d?
1
Let d(f) be the third derivative of -f**8/5880 - f**7/1470 - f**6/1260 + f**3/3 + 5*f**2. Let h(g) be the first derivative of d(g). Factor h(w).
-2*w**2*(w + 1)**2/7
Let g(p) be the third derivative of p**9/120960 - p**8/4480 + 3*p**7/1120 - 3*p**6/160 - p**5/60 + p**2. Let w(l) be the third derivative of g(l). Factor w(o).
(o - 3)**3/2
What is d in -6*d**3 - 9*d + 22*d**2 - 3*d - 44*d**2 = 0?
-3, -2/3, 0
Suppose 8 + 4 = 4*a. Find b, given that a + 2*b**3 - 4 - 2*b + 9*b**2 + 0*b**2 - 8*b**4 = 0.
-1, -1/4, 1/2, 1
Let b(x) = x**3 + x - 60. Let a be b(0). Let f = -239/4 - a. Determine n, given that 1 + f*n**2 + n = 0.
-2
Let a be (32 + -2)*(-2)/(-5). Suppose -5*i = -9*i + a. Factor 0*t**2 + 8/7*t**4 + 2/7*t**i + 6/7*t**5 + 0 + 0*t.
2*t**3*(t + 1)*(3*t + 1)/7
Let y(n) = n**2 - 2*n + 3. Let v be y(5). Suppose 5*u + 0*u = 20. Factor -10*o**5 - 3*o**4 + 4*o + 11*o**4 - 2*o**2 + 18*o**u - v*o**3.
-2*o*(o - 1)**3*(5*o + 2)
Let y(x) be the third derivative of 0 - 2*x**2 + 1/10*x**6 + 1/2*x**3 + 3/10*x**5 + 1/70*x**7 + 0*x + 1/2*x**4. Let y(p) = 0. What is p?
-1
Let g be (-2)/48*(1 - 25/10). Let r(w) be the second derivative of -2*w - g*w**4 + 3/40*w**5 + 0*w**3 + 0*w**2 - 1/40*w**6 + 0. Factor r(m).
-3*m**2*(m - 1)**2/4
Suppose 2*p + v + 55 = -2*v, -p = 5*v + 45. Let i be 1*(p/(-12) + 1). Find m, given that 4/3*m**2 - i*m - 2*m**4 + 8/3*m**3 + 2/3 = 0.
-1, 1/3, 1
Let n(w) = -w**3 + 7*w**2 + 5. Let m be n(7). Suppose t + 3 = 0, m*f - 4*t - 12 = 2*f. Solve -2/5*u**4 + 0 + f*u - 2/5*u**2 + 4/5*u**3 = 0.
0, 1
Factor 5/4 - 5/2*t**3 + 0*t**2 + 5/2*t - 5/4*t**4.
-5*(t - 1)*(t + 1)**3/4
Suppose -3*k - 4 = -5*k. Let o be (k/(-4))/(6/(-4)). Factor -1/3*c**2 + o + 0*c.
-(c - 1)*(c + 1)/3
Find t, given that -8/19*t**3 - 2/19*t - 10/19*t**2 + 0 = 0.
-1, -1/4, 0
Let t(m) be the first derivative of -m**8/672 + m**7/560 + m**6/60 + m**5/60 - 2*m**3/3 - 3. Let a(k) be the third derivative of t(k). Factor a(j).
-j*(j - 2)*(j + 1)*(5*j + 2)/2
Solve 0 + 0*r**2 + 3/5*r**4 + 0*r**3 + 0*r = 0 for r.
0
Let u be 5 - ((-10)/3 + 2 + 4). Factor 4*l - 4/3 + u*l**2.
(l + 2)*(7*l - 2)/3
Let j(o) = -36*o**3 - 6*o**2 + 14*o - 4. Let b(y) = -y**2 + y. Let f(c) = 6*b(c) + j(c). Factor f(i).
-4*(i + 1)*(3*i - 1)**2
Let s(w) = w**3 - 8*w**2 + 15*w - 6. Let n be s(6). Suppose -n = 4*o - 10*o. Let 2/3*j + 0 + 2/3*j**o = 0. Calculate j.
-1, 0
Let t(c) = -2*c**2 - 50*c + 4. Let i be t(-25). Factor -2/5*y**i + 6/5*y**3 - 6/5*y**2 + 0 + 2/5*y.
-2*y*(y - 1)**3/5
Factor -2/7*w**2 + 0 + 2/7*w**3 + 0*w.
2*w**2*(w - 1)/7
Let l(w) be the second derivative of 7*w**6/165 - 6*w**5/55 - w**4/6 + 4*w**3/11 + 4*w**2/11 - 2*w. Suppose l(n) = 0. What is n?
-1, -2/7, 1, 2
Suppose 3*x**2 - 33 + 33 - 3*x = 0. Calculate x.
0, 1
Let b be -2*(-6)/(-4)*(-4 + 3). Let g(a) be the third derivative of 1/240*a**5 + b*a**2 + 0 + 0*a**3 - 1/96*a**4 + 0*a. Suppose g(m) = 0. What is m?
0, 1
Suppose -68 + 41 = -5*m - 4*s, 4*m = -4*s + 20. Let -m*o**3 + o**2 + 0*o + 49/4*o**4 + 0 = 0. What is o?
0, 2/7
Let t(c) be the first derivative of -c**7/70 - c**6/40 + 5*c**2/2 + 6. Let l(a) be the second derivative of t(a). Factor l(d).
-3*d**3*(d + 1)
Let j(q) be the third derivative of 1/315*q**7 - 1/1008*q**8 + 0*q**5 + 0*q + 0 + 0*q**3 - 1/360*q**6 + 2*q**2 + 0*q**4. Find k such that j(k) = 0.
0, 1
Let t(o) be the first derivative of 3*o**6/11 - 12*o**5/55 - 4*o**4/11 + 4*o**3/11 - o**2/11 - 1. Let t(n) = 0. Calculate n.
-1, 0, 1/3, 1
Let u(z) be the third derivative of z**7/525 - z**6/60 + 3*z**5/50 - 7*z**4/60 + 2*z**3/15 - 6*z**2. Factor u(t).
2*(t - 2)*(t - 1)**3/5
Let p = 69/26