 + 2/11*g**k + 0 + 0*g.
2*g**2*(g + 2)/11
Let t(d) be the third derivative of d**7/5040 + d**6/1440 + 17*d**4/12 - 19*d**2. Let z(i) be the second derivative of t(i). Factor z(l).
l*(l + 1)/2
Let c(z) be the third derivative of z**6/40 - 5*z**5/4 - 41*z**4/4 - 28*z**3 + 29*z**2. Determine b so that c(b) = 0.
-2, -1, 28
Let y(u) = -18*u**2 + 104*u + 24. Let i be y(6). Let b be 4/(20/(-9)) - -2. Factor b*c**3 + 0 + i*c - 1/5*c**2.
c**2*(c - 1)/5
Let h be (-12)/(-9)*3*4. Let z = h - 14. Factor -4*i + 4*i**4 - 2*i - 4 - z*i + 8*i**3.
4*(i - 1)*(i + 1)**3
Suppose 5*u + 30 = 5*a, 3*a + 14*u + 6 = 13*u. Factor 5/3*v - 5/6*v**4 + 5/2*v**2 + 0*v**3 + a.
-5*v*(v - 2)*(v + 1)**2/6
Let l(f) be the first derivative of 0*f - 5 + 3/4*f**4 + 2*f**2 + 9/2*f**3 + 1/20*f**5. Let c(p) be the second derivative of l(p). Let c(w) = 0. What is w?
-3
Suppose -87*i + 32 - 2 = -231. Let n be (18/14)/(1 - 0). Let n*d + 6/7 + 3/7*d**i + 9/7*d**4 - 27/7*d**2 = 0. Calculate d.
-2, -1/3, 1
Factor 2028*y**2 + 9721*y + 4*y**4 + 41*y**3 + 83*y**3 - 933*y + 32*y**3.
4*y*(y + 13)**3
Let l be 10/24 - 1/(-4). Let v = -307 - -929/3. Find q, given that -v + 0*q + l*q**2 = 0.
-2, 2
Let i = 1882 - 5636/3. Factor 0 + 2/3*g**2 - i*g.
2*g*(g - 5)/3
Let z = 2075 - 89231/43. Let l = 140/387 + z. Solve -2/3*q**4 + 0 - l*q**5 - 2/9*q**2 - 2/3*q**3 + 0*q = 0.
-1, 0
Suppose 23*g - 4 = 42. Factor 0*h + 0*h**3 + 0 - 1/2*h**g + 1/8*h**4.
h**2*(h - 2)*(h + 2)/8
Let m(y) = 21*y**4 + 21*y**3 - 24*y**2 + y + 14. Let h(f) = 2*f**4 + f**3 + f - 1. Let r(s) = 22*h(s) - 2*m(s). Factor r(t).
2*(t - 5)**2*(t - 1)*(t + 1)
Let b(y) be the first derivative of -y**7/1960 - y**6/280 + y**4/14 - 5*y**3/3 - 22. Let q(n) be the third derivative of b(n). Suppose q(k) = 0. Calculate k.
-2, 1
Factor -2/3*s**3 - 18/7*s**2 + 8/21*s + 0.
-2*s*(s + 4)*(7*s - 1)/21
Let r be 1/(7/(-49)) + 7. Let u(w) be the second derivative of 0*w**4 + r - 6*w - 1/40*w**5 + 0*w**2 + 1/12*w**3. Factor u(i).
-i*(i - 1)*(i + 1)/2
Let i = -979/159 - -344/53. Factor i - 2/3*k + 1/3*k**2.
(k - 1)**2/3
Let h(f) = -f**3 + 7*f**2 - 10*f + 3. Let s be h(5). Determine c so that 21*c**s - 9*c**2 + 5*c**2 - 17*c**3 = 0.
0, 1
Determine z so that -11*z**3 - 14*z**3 + 18 - 18 + 13*z**3 - 4*z**4 = 0.
-3, 0
Let l(q) = 12*q**2 + 5*q - 11 - 13*q**2 + 7*q. Let y be l(11). Factor 4/11*i**3 - 2/11*i**4 - 2/11*i**2 + y*i + 0.
-2*i**2*(i - 1)**2/11
Let u = -9281/78 + 119. Let w(n) be the second derivative of 9*n + 0 + 0*n**2 - 1/39*n**3 + u*n**4. Suppose w(k) = 0. What is k?
0, 1
Suppose -138 = 2*v - 25*v. Let d(g) be the third derivative of 0 - 1/135*g**5 + 2/27*g**3 - 1/540*g**6 - v*g**2 + 0*g + 1/108*g**4. Factor d(f).
-2*(f - 1)*(f + 1)*(f + 2)/9
Let p = 19 - 17. Factor 124*f - 122*f + 2*f**2 - 1 - 3*f**p.
-(f - 1)**2
Let u(j) be the third derivative of -j**6/900 - 2*j**5/225 - j**4/36 - 2*j**3/45 + 22*j**2. Factor u(s).
-2*(s + 1)**2*(s + 2)/15
Factor 80*d + 256 + 25/4*d**2.
(5*d + 32)**2/4
Let p(f) = -2*f**3 - f**2 + f + 3. Let i be 20/(-15) - (-1)/3. Let c be p(i). Factor 2/3*y**c + 4/3*y**2 - 4/3 - 2/3*y.
2*(y - 1)*(y + 1)*(y + 2)/3
Suppose 0 = 340*o - 299*o - 82. Factor -1/2*k**o + k + 0.
-k*(k - 2)/2
Factor 0 + 1/4*a**3 - a**2 + 0*a.
a**2*(a - 4)/4
Suppose 20 = -82*j + 184. Suppose -9/7*d + 0 + 3/7*d**j = 0. Calculate d.
0, 3
Determine h so that -h - 6/5 + 1/5*h**2 = 0.
-1, 6
Let w be (1 + -31)/(((-2)/(-10))/((-9)/126)). Factor 3/7*v**2 + w + 30/7*v.
3*(v + 5)**2/7
Let d(q) be the second derivative of q**5/4 - 5*q**4/4 - 10*q**3/3 + 30*q**2 - 37*q. Factor d(c).
5*(c - 3)*(c - 2)*(c + 2)
Let h(d) be the first derivative of d**5/20 + 11*d**4/16 + 7*d**3/2 + 17*d**2/2 + 10*d - 75. Factor h(o).
(o + 2)**3*(o + 5)/4
Suppose v = 2*v + 87. Let p = v + 263/3. Factor -2/3*g**3 + p*g**5 + 2/3*g**2 + 0*g + 0 - 2/3*g**4.
2*g**2*(g - 1)**2*(g + 1)/3
Let i(u) be the first derivative of 28 + 4*u**3 + 4*u**4 - 3*u**4 + 24*u - 18*u**2 + 2*u - 6*u. What is h in i(h) = 0?
-5, 1
Let s be (-100)/28 - 8/(-14). Let k = s + 4. Factor 12*d**2 + k - 4*d + 0 + 0 - 9.
4*(d - 1)*(3*d + 2)
Suppose 96/7*y + 2/21*y**3 - 16/7*y**2 + 0 = 0. Calculate y.
0, 12
Let d(a) be the second derivative of -a**5/20 + 2*a**4/3 - a**3/6 + 4*a**2 + 22*a. Let v be d(8). Factor 3/4*g - 1/4*g**3 + v*g**2 - 1/2.
-(g - 1)**2*(g + 2)/4
Let m(z) be the first derivative of -4*z**3/3 - 54*z**2 - 288*z + 769. Factor m(y).
-4*(y + 3)*(y + 24)
Let z be (6/(-8))/(5/(-60)). Factor 2 + 6*h**3 - 7*h**2 - h**2 + 11*h**2 + 10*h**2 + z*h.
(h + 1)*(2*h + 1)*(3*h + 2)
Let i be 6/63 + (-32)/336. Let d(n) be the third derivative of -1/40*n**6 - 1/8*n**4 + 0 + 1/10*n**5 + 11*n**2 + i*n**3 + 0*n. Find a, given that d(a) = 0.
0, 1
Let g = 493/753 + 3/251. Let b(w) be the second derivative of -2/3*w**3 - 4*w + 4/15*w**6 + 0*w**5 + 0*w**2 + 2/21*w**7 - g*w**4 + 0. Factor b(n).
4*n*(n - 1)*(n + 1)**3
Let q(a) be the second derivative of -3*a**7/14 - 21*a**6/10 + a**5/5 + 7*a**4/3 + 215*a. Solve q(r) = 0.
-7, -2/3, 0, 2/3
Let l(f) be the second derivative of -f**7/1400 + f**6/225 + f**5/200 + 5*f**3/6 + 7*f. Let a(o) be the second derivative of l(o). Find b such that a(b) = 0.
-1/3, 0, 3
Let i(q) be the second derivative of q**7/42 - 19*q**6/30 + 99*q**5/20 - 27*q**4/4 - q. Solve i(n) = 0 for n.
0, 1, 9
Let z(v) be the first derivative of -2*v**5/5 + 11*v**4/6 - 14*v**3/9 - 11*v**2/3 + 20*v/3 - 213. Suppose z(f) = 0. What is f?
-1, 1, 5/3, 2
Let c(v) be the third derivative of -2*v**7/105 - 11*v**6/30 - 19*v**5/15 - 3*v**4/2 + 207*v**2. Let c(w) = 0. What is w?
-9, -1, 0
Let q(f) be the second derivative of f**7/84 - 17*f**6/60 + 87*f**5/40 - 91*f**4/24 - 49*f**3/3 + 3*f - 6. Find l, given that q(l) = 0.
-1, 0, 4, 7
Let n(b) be the third derivative of b**6/60 + 13*b**5/30 - 7*b**4/6 + 541*b**2. Factor n(d).
2*d*(d - 1)*(d + 14)
Let n(r) = 6*r**2 + 3*r + 6. Let k(h) = 7*h**2 + 4*h + 8. Let j(m) = -3*k(m) + 4*n(m). Suppose j(i) = 0. Calculate i.
0
Suppose -19 + 45 = 13*p. Let w(l) be the second derivative of 0*l**3 + 1/18*l**4 + 0 + 0*l**p + 4*l. Factor w(g).
2*g**2/3
Let x(j) be the first derivative of 17 - 2/9*j**3 - 1/6*j**2 + 0*j + 1/4*j**4. Factor x(i).
i*(i - 1)*(3*i + 1)/3
Let v(f) = 5*f - f**2 - 1 - 3*f + 5*f - 8*f. Let q(t) = -15*t + 9. Let n(w) = q(w) - 3*v(w). Factor n(u).
3*(u - 2)**2
Let p(r) = r**2 + 5*r + 9. Let q be p(-6). Let s(j) = 8*j - 5. Let n be s(1). Factor 9*f**4 + q*f**2 - 22*f**2 + 10*f**2 - n*f**5 - 9*f**3.
-3*f**2*(f - 1)**3
Factor -16 + 1/7*m**2 - 6/7*m.
(m - 14)*(m + 8)/7
Suppose 8 = 2*t + 2*v, 4*t - 5*v + 3 = 10. Suppose w**t - 12*w**4 + 4*w**2 - w**3 + 8*w**3 = 0. Calculate w.
-1/3, 0, 1
Let g(o) be the first derivative of -o**6/2 + 9*o**5 - 213*o**4/4 + 93*o**3 + 108*o**2 - 324*o + 219. Suppose g(b) = 0. What is b?
-1, 1, 3, 6
Let f(u) be the third derivative of u**6/40 + u**5/20 - u**4/4 - 18*u**2. Suppose f(b) = 0. Calculate b.
-2, 0, 1
Suppose 6*j + 27 = 9*j. Let g be (j/27)/((-2)/(-42)). Factor -3*v**3 + 15*v**2 - 1 - g*v - 26 - 2*v.
-3*(v - 3)**2*(v + 1)
Suppose -b = -5*g + 16, 12 = 3*g + b - 4*b. What is l in -21*l - g*l**2 - 8*l + 38*l = 0?
0, 3
Solve 6*f + 9*f - 40 - 9*f**2 - 12 + 46 = 0.
2/3, 1
Let l be (1 + (-371)/378)/(3/9). Let z = 13/9 + l. Suppose 15/4*w**2 - z*w - 3*w**3 + 0 + 3/4*w**4 = 0. Calculate w.
0, 1, 2
Let t be 29/2 - ((-29744)/52)/(-44). Factor 3*z - 12 + t*z**2.
3*(z - 2)*(z + 4)/2
Let o be ((-3)/(-108))/(8/4). Let z(w) be the second derivative of 13*w + 0 - o*w**4 + 1/9*w**3 - 1/4*w**2. Solve z(j) = 0.
1, 3
Let y(g) be the second derivative of 19*g - 1/15*g**3 + 0*g**2 + 1/150*g**6 + 0 - 1/20*g**4 + 0*g**5. Suppose y(q) = 0. What is q?
-1, 0, 2
Let h(g) be the third derivative of -g**5/90 - 85*g**4/36 - 595*g**2. Factor h(k).
-2*k*(k + 85)/3
Let w be (16/64)/(2/88). Find x, given that -w + 7*x**2 + 18 + 13*x - 9 = 0.
-2, 1/7
Let q(f) be the second derivative of f**4/48 - 181*f**3/12 + 32761*f**2/8 + 80*f + 1. Find r, given that q(r) = 0.
181
Suppose 3 = h - w, 0 = -h - 4*w + 3*w - 3. Suppose -21*f + 20*f = h. Factor 2/3*o + 1/3*o**2 + f.
o*(o + 2)/3
Let i = 13967/2 + -7137. Let x = i + 154. Factor 0*w**3 + 0 + x*w**5 - 1/2*w + w**2 - w**4.
w*(w - 1)**3*(w + 1)/2
Let i be 16/3 - 5/15. Suppose -i*c = -22 + 12. Let -83 - c*w**2 + 2*w + 81 - 6*w = 0. What is w?
-1
Suppose 