the third derivative of -d**7/945 + d**6/270 + d**5/90 - d**4/27 - 4*d**3/27 - 7*d**2. Find n such that z(n) = 0.
-1, 2
Let u be (-2)/(-8) + (-10)/360. Factor 0 + 2/9*j - u*j**2.
-2*j*(j - 1)/9
Let y(d) be the first derivative of -2*d**3/27 + 2*d**2/9 - 1. Find l, given that y(l) = 0.
0, 2
Let m(t) = -4*t**2 - 2*t. Let g(w) = 9*w**2 + 4*w. Let p(y) = 6*g(y) + 13*m(y). Suppose p(i) = 0. Calculate i.
0, 1
Find l such that 1728*l**2 - 72*l + 3*l**5 + 90*l**3 - 1797*l**2 - 27*l**4 - 9*l**3 + 108 = 0.
-1, 2, 3
Let o(s) be the second derivative of s**4/16 - 7*s. Solve o(l) = 0 for l.
0
Let t = 61 + -57. Let -2/3*s**2 + 2/3*s**3 - 2/3*s + 0 + 2/3*s**t = 0. What is s?
-1, 0, 1
Let v(k) be the third derivative of -4*k**6/45 - 2*k**5/15 - k**4/12 + 2*k**3/3 - k**2. Let h(c) be the first derivative of v(c). Determine n so that h(n) = 0.
-1/4
Let h(l) be the first derivative of -l**4/20 + l**3/10 + 3*l**2/5 + 7*l - 1. Let b(g) be the first derivative of h(g). Solve b(i) = 0 for i.
-1, 2
Factor 0*t + 8/3*t**3 + 4/3*t**4 - 4/3*t**5 + 0*t**2 + 0.
-4*t**3*(t - 2)*(t + 1)/3
Let h be -18*(-3 + (9 - 3) - 4). Let c(u) be the first derivative of -2/3*u**3 - h*u - 2 + 6*u**2. Find a such that c(a) = 0.
3
Factor -1/3*s**2 - 10/3 + 7/3*s.
-(s - 5)*(s - 2)/3
Suppose 24 = 4*n - 2*m, 5*n + 2*m = -0*m + 12. Suppose -4*z + 23 = -3*f, -f - 7 = n*z + 2*f. Find h such that 3*h**2 - 2*h**2 - h**4 + 0*h**z = 0.
-1, 0, 1
Let v(s) = s**3 - 11*s**2 - 12*s. Let z be v(12). Let h be (-2)/(-10) - (-7)/15. Let z - 2/3*w - h*w**2 = 0. Calculate w.
-1, 0
Suppose -3*r + 10 = a - 0*a, -r = 2*a. Let c(n) = n + 3. Let t be c(-1). Let 0*g**r - 3*g**t - 7*g**4 + 12*g**3 - g - g = 0. Calculate g.
-2/7, 0, 1
Let u be ((-3)/11)/((-9)/12). Suppose u*t**2 + 2/11*t**4 + 0 - 6/11*t**3 + 0*t = 0. Calculate t.
0, 1, 2
Let m = -621 + 623. Factor 2/5*b**5 + 12/5*b**3 + m*b**4 - 16/5*b - 8/5*b**2 + 0.
2*b*(b - 1)*(b + 2)**3/5
Let k(u) be the first derivative of -5*u**6/2 + 5*u**5 + 65*u**4/4 - 5*u**3/3 - 15*u**2 + 43. Find a, given that k(a) = 0.
-1, 0, 2/3, 3
Let k be ((-7)/21)/(2/(-12)). Solve 0*z**k - 2/3*z**3 + 0 + 2/3*z**4 + 0*z = 0 for z.
0, 1
Let i(f) = -11*f**3 - 10*f**2 - 2*f + 7. Let x(t) = -34*t**3 - 30*t**2 - 6*t + 22. Let c(n) = -16*i(n) + 5*x(n). Factor c(m).
2*(m + 1)**2*(3*m - 1)
Let j(q) be the second derivative of -q**8/2240 - q**7/840 + q**6/240 + q**5/40 - 5*q**4/12 + 6*q. Let l(z) be the third derivative of j(z). Factor l(x).
-3*(x - 1)*(x + 1)**2
Let y(b) be the first derivative of 5/9*b**3 + 0*b - 1/3*b**2 - 1/4*b**4 + 3. Factor y(s).
-s*(s - 1)*(3*s - 2)/3
Let n = 26 - 23. Let p(y) be the first derivative of -1/2*y**2 + 1/9*y**3 + 2/3*y - n. Factor p(x).
(x - 2)*(x - 1)/3
Suppose -2*y + 7 = 1. Suppose 0*u = y*u. Determine i, given that -3*i**2 - i + u - 9/4*i**3 = 0.
-2/3, 0
Let i(j) be the first derivative of -1/9*j**2 - 4/27*j**3 + 0*j - 3 - 1/18*j**4. Factor i(x).
-2*x*(x + 1)**2/9
Let q(n) be the third derivative of 0*n**3 + 0 - 1/4*n**4 - 2*n**2 - 1/20*n**5 + 0*n. Solve q(w) = 0 for w.
-2, 0
Factor 3/4*a + 3/8*a**2 + 0.
3*a*(a + 2)/8
Let u = 11 - 9. Factor 7 + 2*o**2 + 2*o + 3*o**u + 3*o**3 - 7.
o*(o + 1)*(3*o + 2)
Let l(t) be the first derivative of 1/3*t**3 + 3/10*t**5 + 2*t + 0*t**2 - 1 - 2/3*t**4. Let u(j) be the first derivative of l(j). Let u(r) = 0. Calculate r.
0, 1/3, 1
Suppose -2*v - 3*u - 2*u = 7, 5*v + 2*u = 14. Let r(g) = g**2 + 8*g - 5. Let k be r(-9). Find f such that -3 + f**k + v - 2*f**2 + 0 = 0.
-1, 1
Determine q so that q**2 - 249*q + 126*q + 16 + 131*q = 0.
-4
Suppose d + 4*d = 4*o - 5, o = -3*d + 14. Suppose 11 = 5*n - 4. Let -h + o*h**2 + 3*h**3 - 7*h**3 + 0*h**n = 0. Calculate h.
0, 1/4, 1
Let j be 2 + -4 - (2 - -23). Let l be (-39)/j + (4 - 5). Factor 0 - 2/9*v**3 - l*v + 2/3*v**2.
-2*v*(v - 2)*(v - 1)/9
Let g be ((-2)/4)/(1/(-4)). Suppose 8 = 5*l - g. Solve 0*i**3 + 0*i - 1/5*i**5 + 0 + 0*i**l - 1/5*i**4 = 0 for i.
-1, 0
Let b(a) be the first derivative of 2*a**5/5 - 3*a**4/2 + 2*a**3/3 + 3*a**2 - 4*a + 4. Factor b(j).
2*(j - 2)*(j - 1)**2*(j + 1)
Solve -12/5*p**5 + 24/5 + 87/5*p**4 - 237/5*p**3 - 156/5*p + 294/5*p**2 = 0 for p.
1/4, 1, 2
Let c be ((-7)/70)/1*-16. Let n = -164 + 828/5. Determine w so that n*w**4 - 2/5*w**3 + 0 - c*w**2 + 2/5*w = 0.
-1, 0, 1/4, 1
Let x(u) be the first derivative of -u**6/6 - u**5/5 - u**4 - u**2 - 6. Let f(d) = -2*d**5 - 2*d**4 - 5*d**3 - 3*d. Let o(r) = 2*f(r) - 3*x(r). Factor o(l).
-l**3*(l - 1)*(l + 2)
Let k(o) be the second derivative of o**7/14 - 9*o**6/10 + 87*o**5/20 - 39*o**4/4 + 9*o**3 + 19*o. Suppose k(a) = 0. Calculate a.
0, 1, 2, 3
Let s(l) = 4*l - 3. Let m be s(2). Let c be ((4 - 1) + -2)/m. Determine k, given that 0 + c*k**2 + 1/5*k**3 - 1/5*k**4 - 1/5*k**5 + 0*k = 0.
-1, 0, 1
Let q(d) be the third derivative of -d**5/12 + 5*d**4/24 - 19*d**2. Factor q(s).
-5*s*(s - 1)
Let w(s) = -s**2 - 2*s - 1. Suppose 3*i - 2*t - 25 = 0, -4*t + 0 = -4. Let c(l) = -2*l**2 - 4*l - 2. Let z(v) = i*w(v) - 4*c(v). Factor z(k).
-(k + 1)**2
Let z(n) be the third derivative of -n**5/70 - 17*n**4/84 - 10*n**3/21 - 6*n**2. Find u, given that z(u) = 0.
-5, -2/3
Let t(v) be the second derivative of 1/9*v**4 - v + 0*v**2 + 2/9*v**3 + 0 - 1/30*v**6 - 1/12*v**5. Factor t(m).
-m*(m - 1)*(m + 2)*(3*m + 2)/3
Let l(j) be the first derivative of -5*j**3/3 - 40*j**2 - 75*j - 78. Solve l(n) = 0.
-15, -1
Let q(r) be the first derivative of -r**7/6300 - r**6/2700 + r**3/3 + 10. Let y(j) be the third derivative of q(j). Factor y(w).
-2*w**2*(w + 1)/15
Let t(a) be the third derivative of -52*a**7/315 + 31*a**6/180 + 41*a**5/30 + 11*a**4/9 + 4*a**3/9 + a**2. Determine j so that t(j) = 0.
-1, -1/4, -2/13, 2
Let i(o) = 2*o + 0 + o**2 + 4*o - 2. Let g(y) = -4*y**2 - 19*y + 5. Let t be (-2)/2 - 50/(-10). Let b(m) = t*g(m) + 14*i(m). Suppose b(v) = 0. What is v?
2
Let z be 3 - (-2)/(-2)*1. Suppose -4*i + 5*i = 0. Let -d - 5*d**2 + i*d + 4*d**z = 0. What is d?
-1, 0
Suppose q + 20 = 5*q. Let n(d) be the first derivative of 1/3*d**2 + 1/2*d**4 + 2 + 2/15*d**q + 2/3*d**3 + 0*d. Solve n(o) = 0 for o.
-1, 0
Factor -12/7 + 10/7*v + 2/7*v**2.
2*(v - 1)*(v + 6)/7
Let 6*n**3 + 2*n**4 - n**2 - n**2 - 8*n**3 + 2*n = 0. Calculate n.
-1, 0, 1
Let c = -2 - -2. Suppose -2*l**2 + c*l + 2 - 8 + 2 - 6*l = 0. Calculate l.
-2, -1
Factor -67*p + 0*p**3 - 3 + p**3 + 74*p - 5*p**2.
(p - 3)*(p - 1)**2
Factor 1/3 + 8/3*s + 16/3*s**2.
(4*s + 1)**2/3
Let s(v) = -1. Let a(l) = -4*l**2 + 28*l - 4. Let y(b) = a(b) - 4*s(b). What is t in y(t) = 0?
0, 7
Let o(w) be the first derivative of -8 - 2*w + 1/3*w**3 - 1/2*w**2. Factor o(u).
(u - 2)*(u + 1)
Factor 12/5*l**3 + l**4 + 0 + 2/5*l + 9/5*l**2.
l*(l + 1)**2*(5*l + 2)/5
Factor 9/4*a + 15/8 + 3/8*a**2.
3*(a + 1)*(a + 5)/8
Let x(l) be the third derivative of 0*l - 5/24*l**4 - 1/120*l**6 - 1/15*l**5 + 0 - 1/3*l**3 + l**2. Let x(t) = 0. What is t?
-2, -1
Let j = -156 - -156. Let l(r) = -r + 5. Let k be l(5). Solve j*g**2 + 1/2*g**4 + 0*g + k - 1/2*g**3 = 0 for g.
0, 1
Suppose 4*f + 112 = 5*w, 3*w - 2*f + 6*f - 80 = 0. Let j = w - 12. Factor -j*b + 12*b + 2*b**3 - 5*b**3.
-3*b**3
Suppose -5*v - 23 = -4*m, m - 7 = -2*v + 15. Let k = -9 + m. Factor a**4 + 1/2*a - a**2 + 0*a**k - 1/2*a**5 + 0.
-a*(a - 1)**3*(a + 1)/2
Let q(p) = -5*p**4 - 13*p**3 + 9*p**2 + p + 2. Let a(g) = 5*g**4 + 12*g**3 - 8*g**2 - 2*g - 2. Let y(j) = -6*a(j) - 5*q(j). Factor y(k).
-(k - 1)*(k + 1)**2*(5*k + 2)
Let w(y) = 7*y**4 - y**2 + 3. Let j(a) = -8*a**4 - 4. Let f(g) = 3*j(g) + 4*w(g). Factor f(o).
4*o**2*(o - 1)*(o + 1)
Let q(g) be the second derivative of -1/42*g**4 + 0*g**2 + 0 + 7*g + 1/7*g**3. Find i such that q(i) = 0.
0, 3
Let s = 3 - -2. Let d(v) be the third derivative of 1/60*v**6 + 0 - 1/12*v**4 + 1/210*v**7 + 0*v**s + 0*v - v**2 - 1/6*v**3. Factor d(n).
(n - 1)*(n + 1)**3
Let q(g) be the first derivative of -14*g**3/3 + g**2/2 + 5*g + 5. Let p(z) = 7*z**2 - 2. Let y(n) = 5*p(n) + 2*q(n). Factor y(x).
x*(7*x + 2)
Factor 10*k + 99*k**2 - 25 - 55*k**2 - 45*k**2.
-(k - 5)**2
Let a = -891/5 + 179. Let r = 22/15 - a. Determine m, given that 2*m - r*m**2 - 4/3 = 0.
1, 2
Factor -176*k - 44*k**4 + k**3 + 152*k**4 - 325*k**3 + 32 + 125*k**2 + 235*k**2.
4*(k - 1)*(3*k - 2)**3
Let y(t) be the first derivative of -t**5/70 - t**4/14 - t**3/7 - t**2/7 - 2*t + 