 1/3*v**2. Let n(r) be the first derivative of j(r). Factor n(l).
(l - 2)*(4*l - 1)/3
Let v(h) be the first derivative of -12/5*h - 4/15*h**3 + 9 + 8/5*h**2. Factor v(n).
-4*(n - 3)*(n - 1)/5
Let v(s) = -2*s**2 - 34*s - 27. Let o be v(-16). Let i(h) = -5*h**2 - 45*h - 25. Let w(a) = -7*a**2 - 68*a - 37. Let x(g) = o*w(g) - 8*i(g). Factor x(m).
5*(m + 1)*(m + 3)
Let t = -8 - -8. Let n be (6 + t)*(-14)/(-56). Factor 0 + n*x**2 + 9/2*x.
3*x*(x + 3)/2
Suppose 0 = -44*t + 46*t - 12. Let y(b) be the first derivative of 112/5*b**5 - 3 - 1/3*b**2 + 28/9*b**3 + 0*b - 16*b**t - 73/6*b**4. Let y(l) = 0. Calculate l.
0, 1/4, 1/3
Let h = 234 - 232. Factor 1/6*g**4 - 1/2*g**h - 2/3 + 1/3*g**3 - 4/3*g.
(g - 2)*(g + 1)**2*(g + 2)/6
Let c be (-91)/(-52) - 1*(-3)/12. Factor 0 + 1/3*j**c - 1/3*j.
j*(j - 1)/3
What is r in 6/5*r**4 + 12/5*r**3 + 1/5*r**5 + 3/5*r + 0 + 2*r**2 = 0?
-3, -1, 0
Let p be ((-3)/(-12) - 0)/(1/8). Factor -5*c - 5*c**2 - 4013 + 4013 + 0*c**p.
-5*c*(c + 1)
Let t = 1153 + -1150. Let s(w) be the third derivative of t*w**2 + 1/210*w**5 + 0*w + 0 - 1/7*w**3 + 1/42*w**4. Determine n, given that s(n) = 0.
-3, 1
Let h(m) be the first derivative of m**6/60 - m**5/30 + 23*m**2/2 - 1. Let f(a) be the second derivative of h(a). Factor f(l).
2*l**2*(l - 1)
Suppose -2*v = -r, -3*v + 7 = -5*r + 14. Solve -5/4*h + 3/2*h**r - 1/4 = 0 for h.
-1/6, 1
Let b(t) be the second derivative of 15/2*t**3 + 30*t - 5/4*t**4 - t**5 + 0 - 5*t**2. Factor b(m).
-5*(m - 1)*(m + 2)*(4*m - 1)
Factor -12/7*p**2 + 30/7*p - 2/7*p**3 - 16/7.
-2*(p - 1)**2*(p + 8)/7
Let j be ((-24)/28)/(0 - 4/14). Let p be 2/(-3) - (-4)/j. Suppose 4*v + 6 + p*v**2 = 0. Calculate v.
-3
Let q = 377/6 - 314/5. Let h(a) be the second derivative of 0*a**2 + q*a**3 - 1/60*a**4 + 0 - a. Factor h(l).
-l*(l - 1)/5
Let y(z) be the second derivative of z**4/3 + 10*z**3/3 - 12*z**2 - 117*z + 2. Factor y(l).
4*(l - 1)*(l + 6)
Factor 1/3*z**2 + 2/3*z - 8/3.
(z - 2)*(z + 4)/3
Suppose 81*k - 29*k - 4500*k**4 - 32*k - 75*k**3 + 220*k**2 = 0. Calculate k.
-2/15, 0, 1/4
Let q(h) be the third derivative of 5*h**8/336 - h**7/14 - 3*h**6/8 - 5*h**5/12 - 2*h**2 - 3. Factor q(w).
5*w**2*(w - 5)*(w + 1)**2
Solve -13262 - 2*c**2 + 7*c**4 + 42*c + 7*c**3 + 13262 - 56*c**2 + 3*c**2 - c**5 = 0.
-3, 0, 1, 2, 7
Let h(m) be the third derivative of m**5/6 + 5*m**4/6 + 5*m**3/6 - 22*m**2. Let d(g) = -g**2 - 1. Let x(o) = -5*d(o) - h(o). Factor x(t).
-5*t*(t + 4)
Suppose 0 = -3*b + 3*m - 2*m + 9, 4 = -4*b - 4*m. Suppose -t = -2*t + 2, 2*r - 12 = -b*t. Solve 2*z + z**r - z + 0*z - z**2 - z**3 = 0.
-1, 0, 1
Let z be (-483)/(-35) - (1 - 18/15). Suppose -z = r - 16. Solve 2/5 + 0*x - 2/5*x**r = 0 for x.
-1, 1
Let o be 22/198*18/10. Factor o*u**2 + 4/5 - 4/5*u.
(u - 2)**2/5
Let m(v) be the third derivative of v**6/720 - v**5/90 - v**4/36 + 4*v**3/9 + 104*v**2. Factor m(d).
(d - 4)*(d - 2)*(d + 2)/6
Let k(u) = -23*u**2 - 23*u + 8. Let t(h) = 91*h**2 + 96*h - 31. Let d(b) = -9*k(b) - 2*t(b). Let d(y) = 0. Calculate y.
-1, 2/5
Factor -2/9*g**2 - 10/9 + 4/3*g.
-2*(g - 5)*(g - 1)/9
Let o = -2 + -4. Let h be (o/(-5))/(16/40). Factor -144*g - 192 - 14*g**2 - 3*g**3 - 22*g**2 + 0*g**h.
-3*(g + 4)**3
Suppose -5/7*l + 6/7 + 1/7*l**2 = 0. What is l?
2, 3
Let r = -155/7 + 1465/63. Factor 4/9*j**3 - r*j - 2/3*j**2 + 0.
2*j*(j + 1)*(2*j - 5)/9
Let g(o) be the third derivative of -o**6/200 + 13*o**4/40 + 6*o**3/5 - 11*o**2 - 3. Factor g(t).
-3*(t - 4)*(t + 1)*(t + 3)/5
Determine l, given that -15624/5*l - 15876/5 + 251/5*l**2 - 1/5*l**3 = 0.
-1, 126
Let j(y) be the first derivative of -y**6/540 + y**5/90 + y**4/12 + 40*y**3/3 - 24. Let m(x) be the third derivative of j(x). Find h, given that m(h) = 0.
-1, 3
Let g(q) be the third derivative of 0*q + 1/24*q**6 + 0*q**3 - 11*q**2 + 1/4*q**5 + 0 + 0*q**4. Factor g(l).
5*l**2*(l + 3)
Let l(p) = 2*p - 4. Suppose -14*x + 43 = 1. Let u be l(x). Factor 1/3*a**3 - a**u + 2/3*a + 0.
a*(a - 2)*(a - 1)/3
Let y(m) = 2*m**2 + 3*m + 7. Let r be y(5). Let q = 9 - -147. Factor 8*k**3 + q*k - 11*k**3 - 24 - r*k**3 - 270*k**2 + 375*k**4.
3*(k + 1)*(5*k - 2)**3
Let i = -193923/4 + 48481. Determine h so that 3/4*h**2 + i*h**3 - 1/4*h**4 - 5/4*h + 1/2 = 0.
-2, 1
Let y(s) be the first derivative of 0*s**3 + 1/210*s**5 + 3*s**2 + 1/42*s**4 + 4 + 0*s. Let r(g) be the second derivative of y(g). Factor r(q).
2*q*(q + 2)/7
Determine s so that 18/7*s**2 + 2/7*s**5 + 20/7*s + 0 - 18/7*s**4 - 22/7*s**3 = 0.
-1, 0, 1, 10
Determine s, given that -4*s**2 + 16*s**2 + 7*s**4 - 16*s**3 - 8642*s**5 + 8641*s**5 = 0.
0, 2, 3
Let d(k) = k**3 - 9*k**2 - 8*k - 7. Let h be d(10). Solve 3*t**2 - 3*t - 2*t**3 + t**3 - 16 + 4 + h = 0 for t.
1
Let h be 6/21 - (-24)/14. Let w(t) be the first derivative of 0*t**h - 5 + 4/3*t**3 + t**4 + 0*t. Factor w(g).
4*g**2*(g + 1)
Let m(w) be the third derivative of -w**5/140 + 25*w**4/84 - 16*w**3/21 + 90*w**2. Factor m(n).
-(n - 16)*(3*n - 2)/7
Determine u, given that -262 + 4*u**2 + 513 - 43*u + 533 + 155*u = 0.
-14
Suppose 0 = -15*x + 35*x. Let t(g) be the third derivative of -1/27*g**3 + 1/540*g**6 + 0*g - 4*g**2 + x - 1/90*g**5 + 1/36*g**4. Find i, given that t(i) = 0.
1
Let j(g) be the third derivative of g**8/1848 + g**7/165 + 19*g**6/660 + 5*g**5/66 + 4*g**4/33 + 4*g**3/33 - 79*g**2. Factor j(d).
2*(d + 1)**3*(d + 2)**2/11
Let p(f) = f**4 - 19*f**3 - 13*f**2 + 71*f - 44. Let y(b) = 3*b**4 - 75*b**3 - 54*b**2 + 285*b - 177. Let x(r) = -9*p(r) + 2*y(r). Let x(q) = 0. What is q?
-2, 1, 7
Let j(v) = -4*v**3 - 2*v**2 + 9*v - 10. Let s(f) = 3*f**3 + f**2 - 6*f + 7. Let n(m) = -5*j(m) - 7*s(m). Suppose n(y) = 0. What is y?
1
Suppose -3/2*r**3 + 42*r + 18*r**2 + 0 = 0. What is r?
-2, 0, 14
Let r be ((-336)/128)/(-21)*(-2 - -4). Let -3/4*x**3 + 3/4*x**2 + 1/4*x**4 + 0 - r*x = 0. What is x?
0, 1
Let a = -3258 - -3259. Factor -1/4*x**3 - a + 1/4*x + x**2.
-(x - 4)*(x - 1)*(x + 1)/4
Let w(p) be the third derivative of -3*p**7/70 - p**6/4 + 41*p**5/20 - 5*p**4 + 6*p**3 - 9*p**2 + 8. Suppose w(t) = 0. What is t?
-6, 2/3, 1
Let i(h) be the second derivative of -h**4/20 - 8*h**3/5 + 51*h**2/10 + 18*h. Determine b so that i(b) = 0.
-17, 1
Let c(z) be the third derivative of 0*z**3 + 1/1575*z**7 + 1/20*z**4 - 1/180*z**6 + 1/150*z**5 + 0 + 14*z**2 + 0*z. Factor c(b).
2*b*(b - 3)**2*(b + 1)/15
Let t(p) be the third derivative of -7/6*p**3 - 1/3*p**4 - 1/60*p**5 + 38*p**2 + 0*p + 0. Let t(u) = 0. What is u?
-7, -1
Let p = 372 + -368. Let v(s) be the third derivative of 0*s**5 + 0 + 0*s**3 - 4*s**2 + 1/6*s**p - 1/30*s**6 + 0*s. What is f in v(f) = 0?
-1, 0, 1
Let i(u) = u**2 - 18*u + 18. Let k be i(17). Let f be (-1)/k - 0 - -4. Factor 2*x**2 + 24*x**3 - 17*x**3 - 9*x**f.
-2*x**2*(x - 1)
Solve 0 + 1/7*j**5 - 6/7*j**3 + 32/7*j**2 + 32/7*j - 5/7*j**4 = 0 for j.
-2, -1, 0, 4
Let d = 234 - 230. Suppose 0 = 2*c - 5*c + 2*s + 7, 5*s - 17 = -4*c. Solve -5*k**c - 10*k**2 - 5*k**2 - 5*k**d + 15*k**2 = 0.
-1, 0
Let w(k) be the first derivative of -k**6/24 - k**5/20 + 3*k**4/4 + 7*k**3/3 + 2*k**2 - 287. Let w(d) = 0. What is d?
-2, -1, 0, 4
Let j(h) = -h + 10. Let c be j(5). Let m(x) be the first derivative of c + x - 5*x**2 + 25/3*x**3. Find i such that m(i) = 0.
1/5
Let m(s) = 68*s - 4078. Let o be m(60). Find g such that 1/4*g**4 - 5/4*g**3 + 1/2 + 9/4*g**o - 7/4*g = 0.
1, 2
Let b(w) be the first derivative of -18 + 289/12*w**3 + w + 17/2*w**2. Factor b(j).
(17*j + 2)**2/4
Let u(y) be the third derivative of -y**5/12 + 10*y**4 - 235*y**3/6 + 6*y**2 + 8*y. What is h in u(h) = 0?
1, 47
Let g(z) = 7*z**2 - 3*z - 4. Let r(v) be the second derivative of -v**4/3 + v**3/3 + v**2 + 6*v. Let y(t) = 6*g(t) + 10*r(t). Factor y(k).
2*(k - 1)*(k + 2)
Find y such that 2/5*y**5 + 16/5*y - 26/5*y**2 + 2/5*y**4 + 24/5 - 18/5*y**3 = 0.
-2, -1, 1, 3
Factor -33/5*i - 54/5 - 3/5*i**2.
-3*(i + 2)*(i + 9)/5
Let l(c) be the third derivative of -c**5/630 - c**4/12 + 22*c**3/63 - 59*c**2 + 2*c. Factor l(a).
-2*(a - 1)*(a + 22)/21
Let u(t) = -26*t**2 - 728*t. Let i be u(-28). Suppose 0 - 1/3*k**4 + 2/3*k + k**2 + i*k**3 = 0. What is k?
-1, 0, 2
Let a be 3 + 2 + 0 - 3. Suppose 4*w - 13 = -h + a*h, -3*h = 3*w - 6. Solve 3*r**5 + 12*r**4 - 2*r**3 - 4*r**3 + 0*r**w - 9*r**4 = 0.
-2, 0, 1
Let i(x) be the second derivative of x**6/135 + 7*x**5/90 + 11*x**4/54 +