0/5)/(-2). Let g(k) be the third derivative of -1/300*k**6 + 0 + 0*k**5 + 0*k**3 + 0*k + q*k**2 + 1/60*k**4. Solve g(m) = 0.
-1, 0, 1
Suppose -15 = 5*x + 5*b, -4*x + 3*b + 3 = -6. Factor -3/2*q**2 + x*q + 0*q**3 + 3/2*q**4 + 0.
3*q**2*(q - 1)*(q + 1)/2
Let y(h) = -h**2 + 1. Let z(d) = 8*d**2 - 2*d - 6. Let i(s) = -s**3 + 3*s**2 + 4*s - 1. Let u be i(4). Let v(w) = u*z(w) - 6*y(w). Factor v(o).
-2*o*(o - 1)
Let s = 18 + -14. Let i(c) be the third derivative of -1/21*c**3 - 1/42*c**s - c**2 - 1/210*c**5 + 0*c + 0. Suppose i(p) = 0. Calculate p.
-1
Factor 1/3*t**2 + 0*t - 1/3.
(t - 1)*(t + 1)/3
Let h(p) be the first derivative of -1/4*p**4 + 0*p**3 + 0*p - 2 + 0*p**2. Determine d so that h(d) = 0.
0
Let c(i) = -2*i**2 + 17 - 14 + i**2 - 12*i. Let p be c(-12). Let -1/2*x**p + 0*x + 0 + x**2 = 0. Calculate x.
0, 2
Let s(u) = u**3 + 14*u**2 + 10*u - 39. Let t be s(-13). Factor -3/2*q**3 + t*q - 3*q**4 + 0*q**2 - 3/2*q**5 + 0.
-3*q**3*(q + 1)**2/2
Let f = 6 + -3. Let q be 4 - f - (-3)/1. Factor -1/3*a**q + 0 - 5/3*a**3 - 8/3*a**2 - 4/3*a.
-a*(a + 1)*(a + 2)**2/3
Suppose -3*c - 5*g = -8 - 28, 0 = -5*c - 4*g + 47. Suppose -3 = -4*h - 5*y, -3*y - c = -3*h + 2. Factor 11*v**2 + 3*v**4 - 5*v**3 - 7*v**2 - h*v**4 + v**3.
v**2*(v - 2)**2
Let x(g) = 15*g**3 + 128*g**2 + 405*g + 405. Let v(r) = 5*r**3 + 43*r**2 + 135*r + 135. Let w(n) = -7*v(n) + 2*x(n). Determine u so that w(u) = 0.
-3
Let f = 4 - 4. Let t(g) = -g**2 - 3*g + 1. Let u be t(-2). Factor -2/7*y + 2/7*y**u + 0 + f*y**2.
2*y*(y - 1)*(y + 1)/7
Suppose 0 = 2*l - 4*v + 64, -3*l - 134 = l - 2*v. Let n = l + 36. Find w such that w - 2/3 + 5/3*w**n = 0.
-1, 2/5
Let b(j) be the second derivative of 4/15*j**3 + 1/12*j**4 + 2/5*j**2 + 1/100*j**5 + 0 + 2*j. Factor b(w).
(w + 1)*(w + 2)**2/5
Let h = 341/5 + -67. Factor -1/5 - 1/5*w**4 - h*w**2 - 4/5*w - 4/5*w**3.
-(w + 1)**4/5
Let z(m) be the first derivative of -1/6*m**4 + 1/18*m**6 + 0*m**3 + 2 + 0*m + 1/6*m**2 + 0*m**5. Find n such that z(n) = 0.
-1, 0, 1
Let r(c) = -c**4 - 19*c**3 + 39*c**2 - 29*c + 16. Let u(x) = 5*x**4 + 115*x**3 - 235*x**2 + 175*x - 95. Let n(b) = 35*r(b) + 6*u(b). Solve n(k) = 0.
1, 2
Solve 2/11*f**3 - 2/11*f**5 - 2/11*f**2 + 0 + 2/11*f**4 + 0*f = 0.
-1, 0, 1
Let r(i) be the second derivative of 0 + 4*i - 25/27*i**4 + 8/9*i**2 - 25/18*i**5 + 20/27*i**3. Factor r(j).
-2*(5*j - 2)*(5*j + 2)**2/9
Suppose 0 = -3*p + 5*s + 1, 0 = -p + 3*s - s. Factor -1/4*a**p - 4 - 2*a.
-(a + 4)**2/4
Let z be (-3)/(-3) - (-4)/(-2). Let x be (-6)/z*(-2)/(-4). Let -2/3*c**4 - 2/3 + 8/3*c**x + 8/3*c - 4*c**2 = 0. What is c?
1
Let f(j) = j - 9. Let h be f(9). Let x(c) be the first derivative of 1 + 1/12*c**3 + h*c - 1/20*c**5 + 1/8*c**2 - 1/16*c**4. What is z in x(z) = 0?
-1, 0, 1
Suppose 2*d - 2*j - 8 = 0, -2*j = -2*d + d + 5. Suppose 0 - 1/4*a**d - 1/4*a**2 + 0*a = 0. Calculate a.
-1, 0
Factor -2*m**2 - m**2 + 85*m**3 - 4*m**4 - 91*m**3 + m**4.
-3*m**2*(m + 1)**2
Let i(f) be the third derivative of 6*f**2 + 0 + 0*f**3 - 1/15*f**4 + 0*f + 1/150*f**5. Find l such that i(l) = 0.
0, 4
Let p(z) be the first derivative of -2/7*z**4 + 6/7*z + 34/21*z**3 - 4 - 16/7*z**2. Determine q, given that p(q) = 0.
1/4, 1, 3
Let c(d) be the first derivative of -d**4/6 + d**3/3 - 5*d + 5. Let a(u) be the first derivative of c(u). Determine z, given that a(z) = 0.
0, 1
Let y(r) be the first derivative of r**5/15 - r**4/12 - 5*r**3/9 - r**2/2 + 11. Suppose y(o) = 0. What is o?
-1, 0, 3
Determine r so that 16/7*r**3 - 20/7*r**2 + 0 + 4/7*r = 0.
0, 1/4, 1
Let h(m) be the second derivative of -2*m**6/15 - 4*m**5/5 - 2*m**4 - 8*m**3/3 - 2*m**2 - 3*m. Factor h(u).
-4*(u + 1)**4
Factor 0 - 5/2*m**3 - 5/2*m + 5*m**2.
-5*m*(m - 1)**2/2
Determine n, given that -4/15*n + 4/5*n**4 + 2/15*n**3 - 2/3*n**2 + 0 = 0.
-2/3, -1/2, 0, 1
Let b = 2 - -4. Factor -b + 0 + 4*t + 6*t**2 - 2 - 2*t**2.
4*(t - 1)*(t + 2)
Determine k, given that -k**4 + 15*k**2 - k**5 + k**3 - 4*k**2 - 10*k**2 = 0.
-1, 0, 1
Let 88*y**2 - 39*y - 54*y**2 - 76*y - 15*y**3 - 50 + 66*y**2 = 0. Calculate y.
-1/3, 2, 5
Let x(b) be the first derivative of 4*b**5/5 - 6*b**4 + 16*b**3 - 20*b**2 + 12*b + 5. Factor x(m).
4*(m - 3)*(m - 1)**3
Let h(t) = 9*t**2 + 6*t. Let z(p) = -p**2 + p. Let g(m) = h(m) + 6*z(m). Factor g(n).
3*n*(n + 4)
Let y(m) = 6*m**2 - 4*m. Let s = -1 + 1. Suppose s*j = -2*j - 8. Let n(b) = 5*b**2 - 3*b. Let p(i) = j*y(i) + 5*n(i). Factor p(v).
v*(v + 1)
Let f(g) be the second derivative of -4/3*g**2 + 1/6*g**4 + 5*g + 4/9*g**3 + 1/45*g**6 + 0 - 2/15*g**5. Let f(j) = 0. Calculate j.
-1, 1, 2
Suppose p = -5*v - 28, 2*p + p + 34 = -5*v. Let t be 3/9 + (-5)/p. Let 1/2*k**4 + 0 - 1/2*k + 3/2*k**t - 3/2*k**3 = 0. Calculate k.
0, 1
Suppose 0 = -3*r - r - 48. Let x be (-22)/r - 1/(-6). Find b, given that x*b**3 - 3*b**3 - b**2 + 0*b**2 = 0.
-1, 0
Let j be (-1 - -349)*1/(-2). Let w = -1212/7 - j. Factor 2/7*g**3 - 6/7*g**2 + w*g - 2/7.
2*(g - 1)**3/7
Let o(w) be the second derivative of w**4/16 - 5*w**3/8 - 23*w. Solve o(l) = 0.
0, 5
Suppose -4*y = -5*x - 15, -x - 3 = -4*y - 0*x. Let z(u) be the first derivative of -2/9*u**3 + y*u + 1/3*u**2 - 1. Factor z(a).
-2*a*(a - 1)/3
Let w(q) = -12*q**3 + 10*q**2 + 6*q + 2. Let n(c) = -c**2 - c - 1. Let o(b) = 2*n(b) + w(b). Find t, given that o(t) = 0.
-1/3, 0, 1
Let p be 3/(3 - -1 - (-10)/(-4)). Factor 14/9*b - 10/9*b**p - 4/9.
-2*(b - 1)*(5*b - 2)/9
Let s be ((-21)/(-888))/7*-90. Let m = -2/37 - s. Solve 0 - m*v - 1/4*v**2 = 0.
-1, 0
Let b(c) = c**3 - 4*c**2 + 3*c + 3. Let d be b(3). Let 0*t - 2/5*t**d + 2/5*t**2 + 0 = 0. Calculate t.
0, 1
Let h(f) be the third derivative of f**5/60 - f**3/6 + 15*f**2. Factor h(c).
(c - 1)*(c + 1)
Factor -6/5*z**3 + 0 + 0*z + 2/5*z**2.
-2*z**2*(3*z - 1)/5
Let z(o) = -3*o. Let f be z(-1). Let k(i) be the first derivative of 1/3*i**2 + 4/15*i**5 + 0*i - 4/9*i**f + 0*i**4 - 1/9*i**6 + 1. Factor k(d).
-2*d*(d - 1)**3*(d + 1)/3
Let x(r) be the second derivative of -r**4/60 + r**2/10 + 9*r. Let x(d) = 0. Calculate d.
-1, 1
Let v(k) = -9*k**4 - k**3 + 9*k**2 + 9*k - 4. Let g(a) = a**4 - a**3 - a**2 - a + 1. Let s(f) = 4*g(f) + v(f). Factor s(i).
-5*i*(i - 1)*(i + 1)**2
Let n(d) be the second derivative of -1/20*d**5 - 5*d + 0*d**2 + 0*d**4 + 1/6*d**3 + 0. Let n(z) = 0. Calculate z.
-1, 0, 1
Let f be 8 - (0/2 + 1). Let r = 13 - f. Factor 8*o - 8 + r*o**2 - 2*o**3 - 8*o.
-2*(o - 2)**2*(o + 1)
Let g = 2/9 - -1/9. Let h(v) be the first derivative of 0*v - g*v**6 + 1 - 4/5*v**5 + v**2 + 0*v**4 + 4/3*v**3. Factor h(a).
-2*a*(a - 1)*(a + 1)**3
Suppose -2*h - 2*h = -12. Determine m, given that -9*m**4 - m + 4*m**3 + 3*m**2 + 8*m**4 - 2 - h*m**3 = 0.
-1, 1, 2
Let c(j) be the third derivative of j**5/390 - 4*j**3/39 - 4*j**2. Solve c(g) = 0.
-2, 2
Let j = -17 - -17. Let k(q) be the second derivative of 1/2*q**2 - 1/24*q**4 + q + 1/12*q**3 + j. Factor k(m).
-(m - 2)*(m + 1)/2
Let t = -68 - -80. Let -6*i**3 - t - 3/4*i**4 - 24*i - 18*i**2 = 0. Calculate i.
-2
Let d(j) = 14*j**2 + j - 10. Let u(b) = 5*b**2 - 3. Let v(i) = -6*d(i) + 17*u(i). Solve v(l) = 0 for l.
3
Let j be (3/(-1))/1 - -6. Let c be (-1)/j*(-5 + 1). Suppose c*l**3 + 0*l + 0 + 1/3*l**2 = 0. Calculate l.
-1/4, 0
Let o(g) be the third derivative of -g**6/360 + 7*g**2. Solve o(a) = 0.
0
Let b(z) be the third derivative of -z**7/70 - z**6/120 + z**5/12 + z**4/24 - z**3/3 + 13*z**2. What is i in b(i) = 0?
-1, 2/3, 1
Factor 0 + 0*y - 5*y**2 + 45/2*y**3.
5*y**2*(9*y - 2)/2
Let p(d) be the first derivative of -d**7/840 - d**6/360 + d**5/120 + d**4/24 + d**3 - 5. Let r(w) be the third derivative of p(w). Find q, given that r(q) = 0.
-1, 1
Let p be (-10)/12 + 10/(200/30). Factor 1/3*v**2 + 1/3 + p*v.
(v + 1)**2/3
Let a(k) be the third derivative of k**5/60 - 2*k**2. Factor a(f).
f**2
Let f(z) be the first derivative of -z**8/1680 + z**6/360 + z**3/3 - 3. Let b(k) be the third derivative of f(k). Factor b(i).
-i**2*(i - 1)*(i + 1)
Let j(x) be the second derivative of x**8/16800 + x**7/1575 + x**6/360 + x**5/150 - x**4/12 - 3*x. Let t(r) be the third derivative of j(r). Factor t(i).
2*(i + 1)**2*(i + 2)/5
Let i be (0 - -2)/(2/3). Let 0 - 1/3*z**2 + 4/3*z**4 + 0*z - z**i = 0. What is z?
-1/4, 0, 1
Let n(d) be the second derivative of d**4/60 - 3*d**3/5 - 19*d**2/10 + 24*d. Factor n(h).
(h - 19)*(h + 1)/5
Le