 0 = 3*d - 2*z + 2. Let g(t) be the third derivative of 1/8*t**4 - d*t**2 + 1/6*t**3 + 0*t + 1/20*t**5 + 1/120*t**6 + 0. Factor g(k).
(k + 1)**3
Factor -2*d**3 + 26*d + 1 + 5 + 8 + 9*d**2 + d**2.
-2*(d - 7)*(d + 1)**2
Let m(r) be the second derivative of -r**4/72 + r**3/12 - r**2/6 - 16*r. Factor m(b).
-(b - 2)*(b - 1)/6
Let g(q) be the third derivative of 3*q**2 + 0*q - 5/504*q**8 + 2/45*q**5 + 0*q**3 + 0*q**4 - 4/45*q**6 + 0 + 17/315*q**7. Suppose g(l) = 0. What is l?
0, 2/5, 1, 2
Let d be (30/3)/((-6)/(-3)). Find m, given that m**2 + 3*m**3 + 5*m**3 - d*m**2 - 2*m**3 = 0.
0, 2/3
Let h(j) = -2*j**2 + 3. Let b(f) = 1. Let i(k) = -3*b(k) + h(k). Factor i(z).
-2*z**2
Let r(s) be the first derivative of 5/4*s**4 + 1/12*s**6 - 3 - 5/3*s**3 - 1/2*s**5 + 5/4*s**2 - 1/2*s. Factor r(z).
(z - 1)**5/2
Suppose 77 = 7*n - 112. Let r be (-2)/(-3)*9/n. Find z such that -4/9*z + r*z**2 + 0 = 0.
0, 2
Let t be (22/(-8))/((-5)/(-20)). Let d(o) = o**3 - 5*o**2 + 4. Let c(y) = -3*y**3 + 14*y**2 - 11. Let f(n) = t*d(n) - 4*c(n). Find m such that f(m) = 0.
0, 1
Let k = 447 + -445. Factor -5/3*z**k + 8/3*z + 1/3*z**3 - 4/3.
(z - 2)**2*(z - 1)/3
Let d(b) be the second derivative of -b**4/18 - 8*b**3/9 - 16*b**2/3 - 8*b. Determine m so that d(m) = 0.
-4
Let i(l) be the first derivative of -l**5/35 - l**4/14 + l**3/21 + l**2/7 - 3. Let i(m) = 0. What is m?
-2, -1, 0, 1
Let c(b) be the first derivative of 0*b**2 + 2/9*b**3 - 1/2*b**4 - 1/9*b**6 + 0*b + 2/5*b**5 + 6. Let c(k) = 0. Calculate k.
0, 1
Let c(w) = -10*w**3 - 21*w**2 - 11*w. Let z be (-10)/4*(-7 - -5). Let f(l) = -39*l**3 - 84*l**2 - 45*l. Let x(a) = z*f(a) - 21*c(a). Let x(d) = 0. Calculate d.
-1, -2/5, 0
Let u(l) be the third derivative of -l**5/210 - l**4/21 - l**3/7 + 3*l**2. Factor u(p).
-2*(p + 1)*(p + 3)/7
Suppose b + 4*x + 4 = -9, 5*b - 55 = 4*x. Factor 4*v**3 + b*v**5 + 4*v**2 - 2*v - 9*v**5 - 1 - 2*v**4 - 1.
-2*(v - 1)**2*(v + 1)**3
Let p(s) = s**5 - 8*s**4 - 9*s**3 - 11*s**2 - 5*s - 3. Let k(g) = -g**5 - g**3 + g**2 + g + 1. Let f(v) = 6*k(v) + 2*p(v). Factor f(t).
-4*t*(t + 1)**4
Suppose -21 = 3*l - 9. Let w = -2 - l. Solve -3*d**w + d**4 - 1 + d**2 + 2 = 0.
-1, 1
Let o = -239/39 + 97/13. Factor -o*g**2 + 2*g + 0.
-2*g*(2*g - 3)/3
Let d(a) = -a**2 - 8*a + 2. Let n be d(-8). Find t such that 1 + 5*t**n - t - 2*t**3 - 3*t + 0*t**2 = 0.
1/2, 1
Let j(u) be the second derivative of u**5/100 - u**4/20 + 2*u**2/5 - u. Suppose j(m) = 0. Calculate m.
-1, 2
Let i(j) be the second derivative of -2*j**6/15 + 2*j**5/5 - 4*j**3/3 + 2*j**2 - 8*j + 3. Let i(n) = 0. What is n?
-1, 1
Let j(u) = 3 + 1 + u + 0*u. Let l be j(0). Factor -w**3 - 3 + l - w**2 + 6*w - 5*w.
-(w - 1)*(w + 1)**2
Suppose -w + 29 = 5*m, -4*w - 49 = -5*m - 15. Let g = 8 - m. Factor 8*d - 4*d + 0*d**2 - 4 + 2*d**4 + 3*d**2 - g*d**3 - 3*d**4.
-(d - 1)**2*(d + 2)**2
Let h(g) be the third derivative of g**5/105 - g**4/84 - g**3/21 - 11*g**2. Factor h(k).
2*(k - 1)*(2*k + 1)/7
Let w(m) = 4*m**3 + 4*m**2. Let y(v) = -5*v**3 - 5*v**2 - v - 1. Let t(a) = -6*w(a) - 4*y(a). Factor t(h).
-4*(h - 1)*(h + 1)**2
Suppose -k = -5*a - 24, a + 1 = -k + 7. Let c(p) = k - 8*p**2 - 2 - 1 + 10*p - 2*p. Let g(z) = -z**2 + z + 1. Let i(b) = c(b) - 10*g(b). Factor i(d).
2*(d - 2)*(d + 1)
Let x(v) be the second derivative of v**7/147 + v**6/105 - v**5/35 + 3*v. Factor x(f).
2*f**3*(f - 1)*(f + 2)/7
Determine k so that -11*k**3 + 64*k**2 + 20*k**4 - 1326*k**5 - 8*k**3 - 45*k**3 + 1324*k**5 = 0.
0, 2, 4
Let r(j) = -j**3 + 4*j**2 - 4*j + 5. Let g = 13 + -10. Let k be r(g). Factor -1/2*x**3 + 1/2*x**k + 1/2*x + 0 - 1/2*x**4.
-x*(x - 1)*(x + 1)**2/2
Let v(j) be the first derivative of j**6/135 + 2*j**5/45 + 2*j**4/27 + 6*j - 3. Let h(k) be the first derivative of v(k). Factor h(g).
2*g**2*(g + 2)**2/9
Let f be 33/12 + (-5)/(-20). Factor 4*h - 2*h**3 - h - 7*h + 8*h**2 - 2*h**f.
-4*h*(h - 1)**2
Factor -30*n**2 - 261*n**3 + 137*n**3 + 15*n**4 + 193*n**3.
3*n**2*(n + 5)*(5*n - 2)
Let c(i) be the first derivative of 2*i**3/3 - 4*i**2 + 6*i + 5. Factor c(p).
2*(p - 3)*(p - 1)
Let a(m) be the second derivative of m**6/60 + 3*m**5/40 + m**4/24 - m**3/4 - m**2/2 + 2*m. Solve a(k) = 0 for k.
-2, -1, 1
Factor 2/5*t**4 - 4/5 + 6/5*t - 6/5*t**3 + 2/5*t**2.
2*(t - 2)*(t - 1)**2*(t + 1)/5
Let j be (-1)/2 + 1612/(-8). Let t = -1006/5 - j. Factor -2/5*r + 2/5*r**3 + 4/5 - t*r**2.
2*(r - 2)*(r - 1)*(r + 1)/5
Let z be (-12)/(-24)*24/10. Factor 4/5*s**3 + 0 - z*s**2 + 2/5*s.
2*s*(s - 1)*(2*s - 1)/5
Let t be (16/(-12))/(4/(-9)). Let l(u) be the first derivative of -3/7*u**2 - 8/7*u**3 + 4/7*u - 1/2*u**4 + t. Factor l(c).
-2*(c + 1)**2*(7*c - 2)/7
Let r(q) be the first derivative of -q**6/2 + 6*q**5/5 - 3*q**4/4 + 1. Solve r(o) = 0 for o.
0, 1
Let o(t) = -t**3 + 8*t**2 + 2. Let h be o(8). Let s(r) be the first derivative of 0*r + 0*r**2 + 2/45*r**5 + h + 0*r**4 + 0*r**3. Factor s(p).
2*p**4/9
Let f(n) be the third derivative of 8*n**7/315 + n**6/45 - 7*n**5/180 + n**4/72 - 18*n**2. Find w such that f(w) = 0.
-1, 0, 1/4
Let y(w) be the first derivative of w**5/15 + 5*w**4/12 + 8*w**3/9 + 2*w**2/3 + 18. Determine t so that y(t) = 0.
-2, -1, 0
Find s, given that 3/5*s**3 - 6/5*s + 3/5*s**2 + 0 = 0.
-2, 0, 1
Let h(v) be the first derivative of -1/8*v**2 - 1/6*v**3 + 1/20*v**5 - 3 + 1/4*v - 1/24*v**6 + 1/8*v**4. Factor h(t).
-(t - 1)**3*(t + 1)**2/4
Suppose 4*a = -0*a + 16. Let p(d) be the third derivative of 7/120*d**5 + 5/48*d**a - 2*d**2 - 1/6*d**3 + 0*d + 0. Solve p(k) = 0.
-1, 2/7
Find i such that -2*i**4 - 12*i - 37*i**2 - i**4 + 0*i**3 + 13*i**2 - 15*i**3 = 0.
-2, -1, 0
Solve 1/2*r**3 + 1/2*r**4 + 0 - 1/2*r**2 - 1/2*r = 0 for r.
-1, 0, 1
Let d = 265 + -5299/20. Let z(l) be the second derivative of 0 + d*l**5 - 1/6*l**3 + 1/12*l**4 - 1/2*l**2 - l. Find y such that z(y) = 0.
-1, 1
Suppose -134 = 6*g - 398. Let z = g - 42. Determine n so that -3/4*n**5 + 0*n - 9/4*n**3 - 9/4*n**4 - 3/4*n**z + 0 = 0.
-1, 0
Let x = -22 + 25. Let r = 27 + -17. Factor 8 + r*c**x + c**3 + 0*c**3 + 28*c + 30*c**2 - 2*c**3.
(c + 2)*(3*c + 2)**2
Let r(k) be the second derivative of -k**6/35 + 17*k**5/70 - 17*k**4/21 + 4*k**3/3 - 8*k**2/7 + 8*k - 1. Determine i so that r(i) = 0.
2/3, 1, 2
Let t = -10 - -14. Determine x, given that 0*x**3 - 6*x**3 + 7*x - 3*x**2 + 0*x**t + 3*x**4 - x = 0.
-1, 0, 1, 2
Let x be ((-2)/100)/((-1)/3). Let o(u) be the second derivative of -u + x*u**5 + 7/15*u**3 + 0 + 4/15*u**4 + 2/5*u**2. Factor o(h).
2*(h + 1)**2*(3*h + 2)/5
Let c(u) be the first derivative of -u**6/8 + 3*u**5/10 + 9*u**4/16 - 2*u**3 + 3*u**2/2 + 22. Find d such that c(d) = 0.
-2, 0, 1, 2
Let v(p) be the second derivative of p**5/60 + 5*p**4/36 + 4*p**3/9 + 2*p**2/3 + 3*p. Factor v(s).
(s + 1)*(s + 2)**2/3
Let g(o) be the second derivative of -o**8/1680 + o**7/840 + 2*o**3/3 - 2*o. Let a(s) be the second derivative of g(s). Suppose a(l) = 0. What is l?
0, 1
Let y(q) be the third derivative of q**7/105 - q**6/15 + q**5/15 + q**4/3 - q**3 + 14*q**2. Determine n so that y(n) = 0.
-1, 1, 3
Let p(n) = -2*n + 2. Let k be p(-1). Suppose -6*t**2 + 8*t**3 - 2*t**k + 0*t**2 - 8*t**5 + 8*t**2 = 0. Calculate t.
-1, -1/4, 0, 1
Let f be (2 + -1)*((-6 - -6) + 0). Let -2/3*y**2 - 8/9*y**3 + f + 2/9*y = 0. Calculate y.
-1, 0, 1/4
Suppose s - 2*f + 6 = 0, 4*s - 4*f + 0 = -16. Let p be 34/10 + (s - 1). Let 2/5*m + 2/5*m**2 - 2/5*m**3 - p = 0. Calculate m.
-1, 1
Let u(a) be the third derivative of 3*a**2 - 1/672*a**8 - 1/60*a**5 + 0*a**3 + 1/80*a**6 + 0*a + 0*a**7 + 0*a**4 + 0. Factor u(j).
-j**2*(j - 1)**2*(j + 2)/2
Factor 11*s**4 - 40*s**4 - 21*s**5 - 3*s**4 - 12*s**3 - 16*s**4.
-3*s**3*(s + 2)*(7*s + 2)
Let o(d) be the first derivative of d**5/40 - d**4/12 + d**3/12 + d + 1. Let x(c) be the first derivative of o(c). Factor x(z).
z*(z - 1)**2/2
Let n(p) = 5*p**3 - 3*p**2 - 2*p + 6. Let b(v) = -v**3 + v**2 - 1. Let k(m) = -6*b(m) - n(m). Factor k(s).
s*(s - 2)*(s - 1)
Let c(b) be the first derivative of 4*b**5/5 - b**4 - 4*b**3 + 2*b**2 + 8*b + 6. What is y in c(y) = 0?
-1, 1, 2
Let q(t) be the first derivative of -t**9/1008 + 3*t**8/560 - t**7/140 + t**3 - 4. Let s(v) be the third derivative of q(v). Suppose s(r) = 0. Calculate r.
0, 1, 2
Factor 0*v**2 + 0 - 4/7*v + 4/7*v**3.
4*v*(v - 1)*(v + 1)/7
Factor 0*t + 6/5*t**2 - 2/5*t**3 - 8/5.
-2