3*h - 2*t - 20, 5*t + 44 - 16 = 2*h. Let l(c) be the first derivative of -1/8*c**h + c + 2/3*c**3 + 2 - 5/4*c**2. Let l(w) = 0. Calculate w.
1, 2
Let o(r) = -7*r**4 - 12*r**3 + 5*r**2 - 10*r - 8. Let s(z) = -z**4 - z**3 - z - 1. Let h(w) = -3*o(w) + 24*s(w). Factor h(u).
-3*u*(u - 2)*(u - 1)**2
Factor 2439*p - 5*p**2 - 1282*p - 1217*p.
-5*p*(p + 12)
Let s(u) be the third derivative of -3/280*u**6 + 0*u**5 + 1/14*u**4 + 0*u**3 + 0*u - u**2 + 1/490*u**7 + 0. Let s(b) = 0. What is b?
-1, 0, 2
Let n(d) be the second derivative of -3*d**5/20 - 2*d**4 - 17*d**3/2 - 15*d**2 - 38*d. Solve n(p) = 0.
-5, -2, -1
Let u(f) be the first derivative of -2/21*f**6 + 4/7*f**2 + 4/7*f**3 + 46 - 12/35*f**5 - 1/7*f**4 + 0*f. Let u(o) = 0. What is o?
-2, -1, 0, 1
Suppose 2*p = -4*b + 9*b + 6, -4*p - 4*b + 12 = 0. Let w = 4 - 2. Let n**p + 3*n**2 + n**w - 5*n**2 = 0. What is n?
0, 1
Let x(l) be the second derivative of -25*l**4/12 - 10*l**3 - 35*l**2/2 - 108*l. Factor x(a).
-5*(a + 1)*(5*a + 7)
Let s be (-5)/18*39/(-1170). Let q(c) be the third derivative of 2/27*c**3 + 0*c - 1/270*c**5 - 5*c**2 + s*c**4 + 0. Let q(z) = 0. What is z?
-1, 2
Let r(w) = w**2 + w + 1. Let v(y) = -2*y**2 - 6*y - 1. Let h(l) = -r(l) - v(l). Determine q so that h(q) = 0.
-5, 0
Suppose -169 = -13*y - 39. Find o, given that -12*o**2 - y*o**3 - 14*o**2 - 2*o**4 + 18*o + 20*o**2 = 0.
-3, 0, 1
Let h(z) be the third derivative of -z**8/2520 + z**6/90 + 2*z**5/45 + z**4/12 - 11*z**3/6 - z**2 - 1. Let n(l) be the first derivative of h(l). Factor n(y).
-2*(y - 3)*(y + 1)**3/3
Let n(a) = 4*a + 21. Let y be n(-4). Let w(c) be the third derivative of -y*c**2 + 0 - 1/30*c**5 + 1/3*c**3 - 1/3*c**4 + 1/15*c**6 + 0*c. Factor w(t).
2*(t - 1)*(t + 1)*(4*t - 1)
Let k = -62 - -65. Solve 2*z**2 + 56*z**3 - 58*z**k + 1 - 1 = 0.
0, 1
Let k(p) be the second derivative of 0*p**2 - 3/20*p**5 - 23*p - 1/6*p**3 + 0 - 1/30*p**6 - 1/4*p**4. Factor k(g).
-g*(g + 1)**3
Let a be ((-351)/13 + 28)*2/16. Determine y so that 1/4*y**3 + 0*y - a*y**4 + 0 - 1/8*y**2 = 0.
0, 1
Let b(j) = -j**2 + 2*j - 2. Let w(t) = -t + 2. Let u(r) = 4*b(r) + 6*w(r). Let h(x) = x. Let l(f) = 2*h(f) - u(f). Find o such that l(o) = 0.
-1, 1
Let d(l) be the second derivative of -l**4/54 - 29*l**3/27 - 28*l**2/9 - 2*l - 31. Solve d(x) = 0.
-28, -1
Let q(g) be the second derivative of 4*g**3 - 2/15*g**6 - 8/3*g**4 + 0 + 17*g - 6/5*g**5 + 18*g**2. Factor q(y).
-4*(y - 1)*(y + 1)*(y + 3)**2
Let p(z) be the first derivative of z**8/2520 + z**7/315 + z**6/135 + 11*z**3/3 + z**2 - 40. Let b(t) be the third derivative of p(t). Solve b(h) = 0 for h.
-2, 0
Let j(p) be the second derivative of p**5/20 - p**4/4 - 2*p**3/3 - 88*p + 1. Factor j(z).
z*(z - 4)*(z + 1)
Let h = -1108 - -1110. Let v(q) be the first derivative of 1/6*q**3 + 6 + 3/4*q**h + 0*q. Solve v(g) = 0 for g.
-3, 0
Suppose -l = 5*b - 10, -b + 13 = -0*b - 2*l. Let w(p) be the first derivative of -2/9*p**b - 1/3*p**2 - 6 + 1/6*p**4 + 2/3*p. Factor w(n).
2*(n - 1)**2*(n + 1)/3
Let x(g) be the third derivative of -3/70*g**7 + 1/20*g**5 + 0*g**3 - 21*g**2 + 0 - 1/20*g**6 + 0*g + 0*g**4. Factor x(j).
-3*j**2*(j + 1)*(3*j - 1)
Let d(a) be the second derivative of -5*a**2 + 1/48*a**4 + 1/120*a**5 + 1/48*a**3 + 0 + 7*a. Let i(h) be the first derivative of d(h). Factor i(m).
(2*m + 1)**2/8
Let a(n) = n**3 - 11*n**2 + 9*n + 13. Suppose -p + 18 - 69 = -5*x, 2*x + p - 19 = 0. Let i be a(x). Solve 1/4*h**i + 0*h - 1/4*h**2 + 0 = 0 for h.
0, 1
Suppose -88*f + 90*f = c - 4, 5*c - 2*f = 4. Let o(p) be the second derivative of c + 1/66*p**4 - 8/33*p**3 + 3*p + 16/11*p**2. What is b in o(b) = 0?
4
Solve 31*f**2 - f + 7*f + 9 + 43*f**2 - 73*f**2 = 0.
-3
Let g be -7 - ((-4625)/(-20))/(-25). Let k = 30/11 - 27/22. Determine d so that 1/4*d**2 + g - k*d = 0.
3
Let p(r) be the first derivative of -3*r**5/10 - 3*r**4/4 + 3*r**3/2 - 76. Let p(s) = 0. Calculate s.
-3, 0, 1
Let h = -7230 + 28923/4. Factor -3*x - h - 3*x**3 - 3/4*x**4 - 9/2*x**2.
-3*(x + 1)**4/4
Let z(u) = -u**5 - u**4 + u**2 + u + 1. Let s(p) = -20*p**5 - 18*p**4 - 6*p**3 + 22*p**2 + 22*p + 22. Let y(k) = -2*s(k) + 44*z(k). Suppose y(v) = 0. What is v?
-3, 0, 1
Let d be (-3 - 35/20*4)*(-24)/36. Determine y so that -15*y - d + 25/6*y**2 = 0.
-2/5, 4
Let a(t) be the second derivative of t**5/40 + 5*t**4/24 + 7*t**3/12 + 3*t**2/4 - 276*t. Factor a(c).
(c + 1)**2*(c + 3)/2
Let g(q) be the third derivative of 5*q**4/24 + 5*q**3/2 - 22*q**2. Let v be g(-3). Factor -1/3*b**5 + 0*b**3 + v*b**2 + 1/3*b**4 + 0 + 0*b.
-b**4*(b - 1)/3
Let y = -6919 + 48442/7. What is z in 108/7 + 66/7*z**3 - y*z**4 - 141/7*z**2 + 36/7*z = 0?
-2/3, 2, 3
Factor -62 - 277 - 4*d**2 + 61*d - 87 + 411*d - 42.
-4*(d - 117)*(d - 1)
Let l be -20*(88/(-20) + 4). Suppose -6 = -7*b + l. Solve 1/4 - 1/4*q**b + 0*q = 0 for q.
-1, 1
Suppose 2/3*a**5 - 4/3*a**4 + 0 - 2/3*a + 0*a**3 + 4/3*a**2 = 0. Calculate a.
-1, 0, 1
Let i(o) be the third derivative of -o**6/105 + 23*o**5/210 - 13*o**4/42 - 8*o**3/21 + o**2 + 317*o. Factor i(d).
-2*(d - 4)*(d - 2)*(4*d + 1)/7
Let i = 594 - 11879/20. Let x(t) be the second derivative of 0 - 27/10*t**2 - i*t**4 + 3/5*t**3 + 6*t. Determine d so that x(d) = 0.
3
Let o(y) = -50*y**2 - 475*y - 120. Let r(l) = 7*l**2 + 68*l + 16. Let v(f) = 2*o(f) + 15*r(f). Factor v(d).
5*d*(d + 14)
Suppose -b + 17 + 0 = 0. Find s, given that 2*s**5 + 17 - 5*s**4 - b + 3*s**5 + 5*s**2 - 5*s**3 = 0.
-1, 0, 1
Suppose -o = -6*o - y + 15, 2*y + 18 = 2*o. Suppose -6*q = -o*q. What is t in q - 4*t**2 + 0 - 13*t**3 - 4 + 8*t**4 + 5*t**3 + 10*t - 2*t**5 = 0?
-1, 1, 2
Suppose 0 = 5*o - 3*n - 15, 0 = -22*o + 19*o - 4*n - 20. Find u such that -3/4*u**2 + 1/4*u**4 - 1/2*u + 0 + o*u**3 = 0.
-1, 0, 2
Let v = -1/510 - -291/3910. Let h = v - -6/23. Factor 1/6*n**4 + 0 - 5/6*n**2 - 1/2*n**3 - h*n + 1/6*n**5.
n*(n - 2)*(n + 1)**3/6
Let s(a) = 2*a + 28. Let z be s(-13). Factor 36*b**3 - 44*b**2 + z*b**5 + 6*b**4 - 15*b**4 - 6*b**5 + 5*b**4 + 16*b.
-4*b*(b - 1)**3*(b + 4)
Factor 6/5*c**2 + 54/5*c**4 + 0*c + 0 - 39/5*c**3.
3*c**2*(2*c - 1)*(9*c - 2)/5
Let i(u) be the first derivative of 7*u**5/135 + u**4/6 + 4*u**3/27 - 3*u**2/2 + 13. Let r(y) be the second derivative of i(y). Factor r(f).
4*(f + 1)*(7*f + 2)/9
Let p(n) be the first derivative of -n**4/8 + 3*n**3/2 + 21*n**2/4 + 6*n + 1. Let b(a) be the first derivative of p(a). Factor b(z).
-3*(z - 7)*(z + 1)/2
Let h(i) be the third derivative of i**6/450 - i**5/150 - i**4/15 - 23*i**3/6 - 32*i**2. Let x(a) be the first derivative of h(a). Suppose x(y) = 0. What is y?
-1, 2
Let r = -59 - -32. Let z be ((-9)/r)/((-1)/(-9)). Solve 12*s**4 + 3*s**5 + z*s - 12*s**5 + 12*s**5 + 12*s**2 + 18*s**3 = 0.
-1, 0
Let i(h) = 14*h**3 - 22*h**2 - 12*h. Let l(d) = -d**2 + 2*d. Let m(u) = -i(u) - 2*l(u). Let m(z) = 0. What is z?
-2/7, 0, 2
Let i be -3 + (-1)/6 + 50/12. Let k(u) = -24*u**4 + 20*u**3 + 12*u**2 + 8*u - 20. Let z(y) = -y**4 + y**3 - 1. Let s(v) = i*k(v) - 20*z(v). Factor s(l).
-4*l*(l - 2)*(l + 1)**2
Let z be 8 + (3 - 6 - 0). Suppose 0 = z*b - 1 - 59. Suppose 7*r**3 - 3*r**3 + b*r**2 - 21 + 5 = 0. What is r?
-2, 1
Suppose -177*b - 36 = -189*b. What is p in -722/11*p**b - 448/11*p**4 - 508/11*p**2 - 98/11*p**5 - 152/11*p - 16/11 = 0?
-2, -1, -2/7
Let t(q) be the third derivative of q**7/840 - q**6/30 - 7*q**5/48 - 3*q**4/16 - 83*q**2. Factor t(m).
m*(m - 18)*(m + 1)**2/4
Find r, given that 2*r**3 - 5*r + 0*r**5 + 9 + 8*r**4 + 2*r**5 - 3*r + 67*r**2 + 7 - 87*r**2 = 0.
-2, 1
Let t(j) be the third derivative of -j**7/5880 + j**6/420 + j**5/56 - 23*j**4/24 + 41*j**2. Let d(z) be the second derivative of t(z). Let d(q) = 0. What is q?
-1, 5
Suppose 6 = -1013*j + 1015*j. Let r(g) be the second derivative of 2*g**2 + 0 + g + 4/3*g**j + 1/3*g**4. Find n such that r(n) = 0.
-1
Let r(t) be the third derivative of -t**5/24 + 25*t**4/48 + 49*t**2. Factor r(y).
-5*y*(y - 5)/2
Suppose 0 = m - 2*f + 4, 0 = m + f - 0*f - 8. Factor -m*k + 1 - 3 - 98*k**2 + 96*k**2.
-2*(k + 1)**2
Suppose 3/2*n + 0 + n**2 + 1/6*n**3 = 0. Calculate n.
-3, 0
Let w(j) be the first derivative of 2*j + 0*j**2 - 16 - 1/6*j**3. Factor w(r).
-(r - 2)*(r + 2)/2
Let u(w) be the first derivative of -w**5/20 + 9*w**4/16 - 7*w**3/12 - 9*w**2/8 + 2*w + 181. Find g such that u(g) = 0.
-1, 1, 8
Find f, given 