Let h(l) be the first derivative of p(l). Factor h(c).
3*c**2*(c - 2)*(c + 4)
Let p(s) be the third derivative of 7*s**6/180 + 19*s**5/90 + 2*s**4/9 - 4*s**3/9 - 2*s**2 + 17. Solve p(u) = 0.
-2, -1, 2/7
Factor 98*o + 115*o - 2*o**2 + 7*o**2 - 198*o.
5*o*(o + 3)
Let o(d) = -d**2 + d + 1. Let j(b) = 7*b**2 + 18*b + 13. Let z(i) = j(i) + 2*o(i). Find c, given that z(c) = 0.
-3, -1
Let q(o) = 12*o + 63. Let y(i) = i**2 + 13*i + 66. Let s(h) = -4*q(h) + 3*y(h). Factor s(r).
3*(r - 6)*(r + 3)
Let s(g) = 3*g + 3. Let k be s(-7). Let o be (-32)/k + 2/9. Let -3*l - 2*l - 3*l**o + 2*l = 0. Calculate l.
-1, 0
Let l(w) be the second derivative of w**7/10080 - w**6/1440 + w**5/480 - 13*w**4/4 - 2*w + 3. Let s(i) be the third derivative of l(i). What is d in s(d) = 0?
1
Let v(q) be the first derivative of q**4/7 + 104*q**3/21 + 440*q**2/7 + 2400*q/7 + 222. Suppose v(k) = 0. What is k?
-10, -6
Let w(k) = -k**3 - 2*k**2 - k - 59. Let v be w(-5). Let y = v + -83/4. Determine t, given that -y - 1/4*t**2 + 1/2*t = 0.
1
Solve 6*y - 2/11*y**5 - 20/11*y**4 - 64/11*y**3 + 72/11 - 52/11*y**2 = 0.
-4, -3, -1, 1
Let x be (-28)/(-70) - (101/(-5))/(-1). Let v = -193/10 - x. What is o in 1/2*o + o**2 - 1 - v*o**3 = 0?
-1, 1, 2
Find f such that 40/3 + 208/3*f + 6*f**3 + 130/3*f**2 = 0.
-5, -2, -2/9
Let l(g) be the third derivative of g**7/10 - 33*g**6/40 + 39*g**5/20 - 7*g**4/8 - 3*g**3 + 4*g**2 - 3*g. Let l(a) = 0. What is a?
-2/7, 1, 3
Find l such that 48/7*l**2 - 9/7*l - 45/7*l**3 - 6/7 + 12/7*l**4 = 0.
-1/4, 1, 2
Let w(d) be the first derivative of -5*d**4/12 - 15*d**3/2 - 60*d - 47. Let i(q) be the first derivative of w(q). Suppose i(r) = 0. Calculate r.
-9, 0
Suppose h = 1625 - 1623. Factor 12*u**h - 24/7*u + 27/7*u**4 + 0 + 102/7*u**3.
3*u*(u + 2)**2*(9*u - 2)/7
Suppose -30 = -4*x + 18. Let m(b) = -5*b - 6. Let h be m(-3). Let -15*o**3 - h*o**4 - 14*o + 5*o + x*o - 3*o**2 = 0. Calculate o.
-1, 0, 1/3
Let r(s) = -s**2 + 1. Let b(i) = i**2 + 6*i - 4. Let g(a) = b(a) + 2*r(a). Let d be g(5). Factor 4*m**3 - m**4 + m**5 + 2*m**2 - 2*m**d - 3*m**5 - m**4.
-2*m**2*(m - 1)*(m + 1)**2
Suppose -5*a = 4*r - 50, 58 = -2*r + 7*r + 4*a. Suppose -r = -m - 6. Factor 5*i + 3*i - 6 + m*i - 3*i**2 - 3*i.
-3*(i - 2)*(i - 1)
Let a(g) be the third derivative of 1/120*g**5 + 1/12*g**3 + 0 + 0*g - 1/24*g**4 + 9*g**2. Determine z so that a(z) = 0.
1
Let m(y) = -y - 8. Let g be m(0). Let c be -2 - g/(-21)*-6. Suppose 0 - 2/7*h - c*h**2 = 0. Calculate h.
-1, 0
Let p be (9/6)/(6 - (-66)/(-12)). Let z be 3/4 + (0 - p/(-60)). Factor 0*k**3 + 0*k**2 + z*k**5 + 0*k + 0 + 4/5*k**4.
4*k**4*(k + 1)/5
Let x(j) be the second derivative of j**7/14 - 6*j**6/5 + 6*j**5/5 + 19*j**4/2 - 57*j**3/2 + 33*j**2 + 278*j. Factor x(i).
3*(i - 11)*(i - 1)**3*(i + 2)
Let m(v) be the second derivative of 27*v + 0 + 1/2*v**4 + 0*v**2 - 8/21*v**7 - 1/6*v**3 - 1/20*v**5 - 4/5*v**6. Factor m(x).
-x*(x + 1)**2*(4*x - 1)**2
Suppose 0 = -136*t + 139*t. Suppose -4*z + 4 = t, p + 8*z - 13*z = -1. Suppose 0 + 2/15*i**3 - 4/15*i**p + 0*i + 2/15*i**2 = 0. What is i?
-1/2, 0, 1
Let m(g) = -g**2 - 9*g - 18. Let n(d) = d**3 + 3. Let x be n(-2). Let z be m(x). Find p such that -1/3*p**3 - 1/3 - p - p**z = 0.
-1
Solve -2/5*v**2 + 6/5*v - 4/5 = 0 for v.
1, 2
Let p(w) = -9*w. Let i(d) = -8*d. Let h(q) = 6*i(q) - 5*p(q). Let n be h(-1). Solve 2/9*z**n + 4/3*z**2 + 16/9 + 8/3*z = 0.
-2
Let 8/5*k - 12/5*k**2 - 2*k**3 + 16/5 - 2/5*k**4 = 0. What is k?
-2, 1
Let r(p) be the second derivative of 3/20*p**5 + 0*p**2 - 1/5*p**6 - 14*p + 0*p**3 + 1/14*p**7 + 0*p**4 + 0. Factor r(y).
3*y**3*(y - 1)**2
Let r = -21 + 26. Factor -r*g**5 - 6*g**2 - 40*g**3 - 7*g**2 - 7*g**2 - 25*g**4.
-5*g**2*(g + 1)*(g + 2)**2
Let v(z) be the third derivative of 0*z**4 + 0*z**6 + 0 + 20*z**2 - 1/210*z**7 + 1/30*z**5 - 1/6*z**3 + 0*z. Find n, given that v(n) = 0.
-1, 1
Let x be (20/30)/((-2)/(-15)). Let b(r) = 2*r**2 + 30*r + 104. Let i be b(-10). Factor 0 + 0*w - 2/7*w**2 + 2/7*w**i + 2/7*w**3 - 2/7*w**x.
-2*w**2*(w - 1)**2*(w + 1)/7
Let h(i) be the first derivative of i**6/2 + 6*i**5/5 + 80. Let h(o) = 0. Calculate o.
-2, 0
Factor 490/9 + 2/9*r**3 - 2*r**2 - 14/3*r.
2*(r - 7)**2*(r + 5)/9
Let d be 0*(4 + -8)/8. Factor 12*h**2 - 11*h**2 + d*h**2.
h**2
Let a(q) = q**3 + 16*q**2 + 10*q - 73. Let u be a(-15). Let -2/5*d**4 - 1/5*d**u - d + 3/5 + d**3 = 0. Calculate d.
-1, 1, 3/2
Let l(d) be the third derivative of d**8/2016 + d**7/420 - d**6/720 - d**5/120 + 78*d**2. Factor l(v).
v**2*(v - 1)*(v + 1)*(v + 3)/6
Suppose 5847*t = 5838*t. Let u(z) be the second derivative of -73/12*z**4 - 8/15*z**6 - 8*z + 7*z**3 - 9/2*z**2 + 14/5*z**5 + t. Factor u(g).
-(g - 1)**2*(4*g - 3)**2
Let c(n) be the first derivative of -9/25*n**5 - 1/10*n**6 + 3/5*n**2 + 3/5*n**3 + 0*n - 3/20*n**4 + 9. Find t such that c(t) = 0.
-2, -1, 0, 1
Let h(s) be the third derivative of -7*s**6/600 + 3*s**5/200 - 5*s**3/6 - 9*s**2. Let b(o) be the first derivative of h(o). Factor b(u).
-3*u*(7*u - 3)/5
Let c(g) be the first derivative of g**4/18 + 16*g**3/27 - 25*g**2/3 + 28*g + 170. Factor c(d).
2*(d - 3)**2*(d + 14)/9
Let s be (1/2)/((-3)/(-3)). Let n(w) = -8*w - 54. Let c be n(-7). Factor s - 3/4*z + 1/4*z**c.
(z - 2)*(z - 1)/4
Let j(d) = -6*d + 52. Let l be j(6). Let i be 7*(-2)/(-4)*l/28. Factor 1/5*m**i - 2/5*m + 1/5.
(m - 1)**2/5
Let k be (-45)/(-21) - 2 - 75/35. Let n be 11/(-110)*(-4 + k). Factor 3/5*q + n*q**2 - 6/5.
3*(q - 1)*(q + 2)/5
Factor 2 - 19/4*j**2 + 151/4*j.
-(j - 8)*(19*j + 1)/4
Let o be (0 - 1)*(8 - 4 - 5). Let q be (-114)/152 - (o + -2). Factor -1/8*v**2 - 1/8 - q*v.
-(v + 1)**2/8
Factor 1/6*q**5 + 0 + 0*q**2 + 0*q + 2/3*q**3 + 2/3*q**4.
q**3*(q + 2)**2/6
Let f(r) = -3*r**3 + 6*r**2 - 2*r + 1. Let a be f(2). Let o be a - 2*(-100)/56. Let -6/7*s - o - 2/7*s**2 = 0. What is s?
-2, -1
Solve 0 - 1/5*q**3 - 7/5*q**2 - 2*q = 0.
-5, -2, 0
Let 0 + 2/3*v**2 + 0*v - v**3 + 1/3*v**5 + 0*v**4 = 0. Calculate v.
-2, 0, 1
Factor 180/7*b + 32/7 + 10/7*b**3 + 102/7*b**2.
2*(b + 2)*(b + 8)*(5*b + 1)/7
Let z(o) be the first derivative of 5*o**3/3 - 15*o**2 + 25*o - 9. Factor z(n).
5*(n - 5)*(n - 1)
Let x(l) be the first derivative of -8/3*l + 1/6*l**4 + 2/9*l**3 + 32 - 4/3*l**2. Factor x(y).
2*(y - 2)*(y + 1)*(y + 2)/3
Suppose -610 = -5*a - 5. Let v be (0 - 6/9) + a/33. Suppose 0*o**2 - 1/5*o**5 + 0 + 0*o**v + 1/5*o**4 + 0*o = 0. Calculate o.
0, 1
Suppose 3/2*c - 1/2 - 3/2*c**2 + 1/2*c**3 = 0. What is c?
1
Suppose d - 6*d = -3*g + 6, d + 5*g - 10 = 0. Suppose 2*q - v + 61 = 5*q, 2*q - 5*v - 35 = d. Factor -16*b + q*b**2 + 30 - 3*b**3 - 30 - b**3.
-4*b*(b - 4)*(b - 1)
Suppose -2*w + 4*n = -16, 9*w - 4*w = 5*n + 20. Let u = 2 + w. Determine t so that -t**3 - 27*t**2 - u*t**3 + 27*t**2 = 0.
0
Let z(o) = 0 - 7*o**3 - 3*o**2 + 18*o**3 - 3 - 8*o**3 - 2*o. Let y(l) = 4 + 0*l**2 + l**2 - 5 - l. Let r(p) = 5*y(p) - z(p). Factor r(x).
-(x - 2)*(x - 1)*(3*x + 1)
Let p be 125 - (-8 + 9/3). Let t be (-1)/2 + p/52. Factor 0 - 2/5*q + 2/5*q**t.
2*q*(q - 1)/5
Let n(i) = 498 + 91*i + 50*i + 7*i**2 - 43*i. Let y(z) = -155*z**2 - 2155*z - 10955. Let x(a) = 45*n(a) + 2*y(a). Suppose x(t) = 0. What is t?
-10
Let l(v) be the third derivative of -5*v**8/336 - v**7/14 - v**6/8 - v**5/12 + 25*v**2. Factor l(q).
-5*q**2*(q + 1)**3
Suppose 23*s = 21*s. Let u = 10 + -10. Solve u*i + 0*i**3 + s - 1/4*i**2 + 1/4*i**4 = 0 for i.
-1, 0, 1
Let t(o) = -o**3 + 3*o**2. Let z(j) = -6*j**2 - 30*j - 16. Let c(h) = -2*t(h) + z(h). Find g such that c(g) = 0.
-1, 8
Let a(l) be the first derivative of -l**6/480 - l**5/160 + 3*l**4/16 + 28*l**3/3 - 17. Let q(n) be the third derivative of a(n). Let q(v) = 0. Calculate v.
-3, 2
Suppose 0 = -5*s + 18 + 2. Suppose 5*a + s*o - 364 = 0, -4*a - o = -0*a - 300. Factor 2*k**2 - k**2 + 9 + 2*k**2 - a*k + 64*k.
3*(k - 3)*(k - 1)
Let c be 4/(-8) + 7/14. Let j(y) be the second derivative of 1/14*y**7 + 0*y**2 + 0 + 1/2*y**3 - 9*y - 3/10*y**5 + c*y**4 + 0*y**6. Factor j(i).
3*i*(i - 1)**2*(i + 1)**2
Let s(h) be the first derivative of 2*h**5/15 - 8*h**3/9 - 17. Factor s(l).
2*l**2*(l - 2)*(l + 2)/3
Let k(p) be the first derivative of p**5/390 + p**4/52 - 9*p**2/2 - 20. Let n(z) be the second derivative of k(z). Factor n(h).
2*h*(h + 3)/13
Let s = -1/657 + 5263/4599. Find k, given that -10*k**3 + s*k**2 