) = 0.
-1, -4/11, 0
Let l(g) be the third derivative of 0 + 1/16*g**4 - 1/120*g**5 + 0*g + 1/3*g**3 - 6*g**2. Find p such that l(p) = 0.
-1, 4
Solve 558*g - 291*g - 283*g - 2 - 14*g**2 = 0 for g.
-1, -1/7
Let -9/2*l**4 + 25/2*l**3 - 27/2*l**2 + 5*l + 0 + 1/2*l**5 = 0. What is l?
0, 1, 2, 5
Let a(h) = 4*h + 55. Let p be a(-16). Let k = p + 9. Factor 2/7*y**2 - 4/7*y**3 + 0*y + 2/7*y**4 + k.
2*y**2*(y - 1)**2/7
Let y(d) be the first derivative of 0*d**3 - 1/34*d**4 + 2/85*d**5 + 25 + 0*d + 0*d**2. Factor y(s).
2*s**3*(s - 1)/17
Suppose -137*f = -140*f - 5*z + 26, -f + 6 = z. Factor -2/9*k**4 - 2/9*k**3 + 4/9*k**f + 0 + 0*k.
-2*k**2*(k - 1)*(k + 2)/9
Let g(l) be the third derivative of 1/80*l**7 + l**2 + 1/32*l**5 + 0*l - 1/448*l**8 - 9/320*l**6 + 0*l**3 + 0 - 1/64*l**4. What is k in g(k) = 0?
0, 1/2, 1
Let v(g) = 12*g**2 + 176*g + 164. Suppose 8*w - 320 = -2*w. Let h(z) = -z**2 - 16*z - 15. Let y(b) = w*h(b) + 3*v(b). Factor y(m).
4*(m + 1)*(m + 3)
Let y = -316 - -348. Suppose 36*a - 28*a = y. Determine c, given that 1/4*c**5 - 5/4*c**a - 3/4*c - 9/4 + 1/2*c**3 + 7/2*c**2 = 0.
-1, 1, 3
Suppose v = -2*k - 7, -49*v + 48*v - 2 = k. Factor -343/3 - 1/3*r**v - 7*r**2 - 49*r.
-(r + 7)**3/3
Factor -36*x**2 - 3*x - 9*x**4 + 52*x**3 - x + 1 + 7 - 11*x**4.
-4*(x - 1)**3*(5*x + 2)
Factor 217*z + 681*z**3 + 1980*z**2 + 1403*z + 81*z**4 + 104*z**3 + 5*z**5 + 29*z**4.
5*z*(z + 2)**2*(z + 9)**2
Let m(d) = d**3 + 8*d**2 - 9*d + 3. Let i be m(-9). Let a be (i + -2)/(14/(-6)*-1). Factor a*g - 3/7*g**3 + 0*g**2 + 0.
-3*g*(g - 1)*(g + 1)/7
Let l be (0 + -3)*(5/15)/(-1). Let n be (l/(-15))/(80/(-15) - -5). Let -2/5*d**2 + 0*d + 0 - n*d**3 = 0. Calculate d.
-2, 0
Let u(g) be the second derivative of -g**6/3 + 3*g**5/5 - 3*g**4/10 - 73*g - 1. Solve u(k) = 0 for k.
0, 3/5
Suppose -f - 265 + 270 = 0. Let c(y) be the second derivative of 6*y - 1/70*y**f + 0 - 2/21*y**3 + 1/14*y**4 + 0*y**2. Determine q so that c(q) = 0.
0, 1, 2
Let m = -1/18986 + 246821/56958. Find t, given that 169/6 + m*t + 1/6*t**2 = 0.
-13
Let s(t) be the third derivative of t**6/320 + 9*t**5/160 - t**4/64 - 9*t**3/16 + 5*t**2 - 23*t. Solve s(i) = 0.
-9, -1, 1
Let u = 2/4721 + 4713/18884. Suppose -u*h**2 + h - 1 = 0. Calculate h.
2
Suppose 142*o - 832 = -66*o. Solve 0*q + 4/7*q**2 + 0 + 18/7*q**3 - 22/7*q**o = 0.
-2/11, 0, 1
Let b(l) be the third derivative of -l**5/90 + 5*l**4/36 + 16*l**2 + 7*l. Factor b(y).
-2*y*(y - 5)/3
Let u(p) = 9*p**2 + 2*p. Let v(t) be the first derivative of 0*t - 5/3*t**3 + 1 - 1/2*t**2. Let x(q) = 6*u(q) + 11*v(q). Factor x(i).
-i*(i - 1)
Let u = -616 + 620. Let v(k) be the first derivative of 0*k**3 - 2/45*k**5 - 8 + 0*k - 1/18*k**u + 0*k**2. Determine i, given that v(i) = 0.
-1, 0
Let q = -944 - -946. Suppose -2*a - a - 4*z - 4 = 0, a = 2*z + 2. Solve 2/3*k**3 + 6*k + 4*k**q + a = 0.
-3, 0
Let u(x) = 9*x - 6. Let l(n) = n**2 - 10*n + 7. Let a(g) = -3*l(g) - 2*u(g). Factor a(b).
-3*(b - 3)*(b - 1)
Let l(r) be the third derivative of -1/660*r**6 + 0 + 0*r**3 + 0*r - 1/66*r**5 + 25*r**2 - 1/22*r**4. Factor l(n).
-2*n*(n + 2)*(n + 3)/11
Let b = 74 - 70. Let r(o) be the second derivative of -1/24*o**b - 1/40*o**5 + 1/12*o**3 + 0 - 3*o + 1/4*o**2. Factor r(m).
-(m - 1)*(m + 1)**2/2
Let r be ((-18)/(-24))/((30/32)/5). Let i(n) be the third derivative of -1/90*n**5 + 0*n**3 + 0*n + 1/36*n**r + 0 - 2*n**2. Determine w, given that i(w) = 0.
0, 1
Solve -43/6*s**4 + 2/3*s**5 + 25/6*s**2 - 7 - 169/6*s + 35/2*s**3 = 0.
-1, -1/4, 2, 3, 7
Let f(h) = -h + 1. Let y be f(-4). Suppose -q + 4*b = 1 + 3, -2*b + 2 = -y*q. Find z such that -21/2*z**4 + q*z + 0 + 3*z**3 + 9/2*z**5 + 0*z**2 = 0.
0, 1/3, 2
Let n(f) be the second derivative of 0 - 1/9*f**3 + 15*f - 1/6*f**2 - 1/36*f**4. Factor n(v).
-(v + 1)**2/3
Let a = 179 + 122. Let p = 1508/5 - a. Determine l, given that -6/5*l**3 + 0 - 3/5*l**2 + p*l = 0.
-1, 0, 1/2
Factor 10/9*o + 2/9*o**2 - 28/9.
2*(o - 2)*(o + 7)/9
Let t be 12*3/12 + (-17)/6. Let a(z) be the first derivative of -t*z - 1/18*z**3 - 1/6*z**2 + 4. Solve a(k) = 0 for k.
-1
Let y(v) = -v**2 + 6*v + 12. Let z be y(6). Let d be (-28)/z - 0 - -3. Factor -2 - 14/3*u - 10/3*u**2 - d*u**3.
-2*(u + 1)**2*(u + 3)/3
What is n in 282/5*n**2 + 81/5*n - 174/5*n**4 + 3*n**5 - 96/5*n**3 - 108/5 = 0?
-1, 3/5, 1, 12
Factor 1920/13*x**2 + 2/13*x**4 + 126/13*x**3 + 0 - 2048/13*x.
2*x*(x - 1)*(x + 32)**2/13
Let w(r) be the second derivative of 1/34*r**4 + 1/170*r**5 + 2/17*r**2 + 28*r + 0 - 1/255*r**6 - 5/51*r**3. Factor w(s).
-2*(s - 1)**3*(s + 2)/17
Let u(p) be the second derivative of 0*p**2 + 0 + 3/80*p**5 + 3*p - 1/12*p**4 - 1/6*p**3. Solve u(m) = 0.
-2/3, 0, 2
Let c be -4 + (246/(-3) - -3). Let g = c - -85. Suppose 6/5 - 2/5*y**g + 4/5*y = 0. Calculate y.
-1, 3
Suppose 0*d + 2*y - 4 = -2*d, 3*d = 3*y. What is s in -3*s**2 + 12 + 4 - d + 0 + 12*s = 0?
-1, 5
Factor -2/5*l**2 + 294/5 + 28/5*l.
-2*(l - 21)*(l + 7)/5
Let z(l) be the third derivative of 1/840*l**8 + 0*l**3 - 1/75*l**5 - 2*l**2 + 0*l**6 - 1/60*l**4 + 0*l + 9 + 2/525*l**7. Determine y, given that z(y) = 0.
-1, 0, 1
Let x(d) be the second derivative of 7/2*d**6 - 85/12*d**4 + d + 20*d**3 + 35/6*d**7 + 0 - 10*d**2 - 73/4*d**5. What is o in x(o) = 0?
-1, 2/7, 1
Let h = -3/64 - -123/64. Factor 0*s**2 - 3/8*s**5 + 9/4*s**3 + h*s**4 + 0 + 0*s.
-3*s**3*(s - 6)*(s + 1)/8
Suppose -16/7*c**2 + 1/7*c**4 - 15/7*c**3 + 0*c + 0 = 0. What is c?
-1, 0, 16
Let w(v) be the first derivative of 0*v + 7 - 1/150*v**5 - 1/30*v**4 - 5/2*v**2 + 0*v**3. Let j(s) be the second derivative of w(s). Factor j(c).
-2*c*(c + 2)/5
Factor 0*q**2 - 2/11*q**3 + 6/11*q + 4/11.
-2*(q - 2)*(q + 1)**2/11
Let f(x) be the third derivative of -x**9/4536 + x**8/840 - x**7/420 + x**6/540 - 5*x**4/12 + 15*x**2. Let i(a) be the second derivative of f(a). Factor i(d).
-2*d*(d - 1)**2*(5*d - 2)/3
Let l(a) be the third derivative of -1/20*a**5 + 3/8*a**4 + 2*a**3 + 0*a + 12*a**2 + 0. Factor l(c).
-3*(c - 4)*(c + 1)
Let p(c) be the second derivative of -c**8/336 + c**7/56 - c**6/24 + c**5/24 + c**3/2 - 7*c. Let t(y) be the second derivative of p(y). Solve t(z) = 0 for z.
0, 1
Let i(u) = -4*u**3 + 121*u**2 + 221*u + 108. Let y(r) = -6*r**3 + 239*r**2 + 441*r + 216. Let c(l) = 5*i(l) - 3*y(l). Factor c(m).
-2*(m + 1)**2*(m + 54)
Let 0 - 3/5*i**2 - 9/5*i = 0. Calculate i.
-3, 0
Suppose 20 = 5*k + 5*d, 3*k + 5*d - 8 = 4*k. Factor 6*i**4 - i**4 + 53 + 100*i + 35*i**3 - 13 + 90*i**k.
5*(i + 1)*(i + 2)**3
Let m(d) = -d**4 - d**3 + 2*d**2 + 1. Let k(c) = -17*c**4 - 3*c**3 + 50*c**2 + 38*c + 5. Let r(o) = 2*k(o) - 2*m(o). What is b in r(b) = 0?
-1, -1/8, 2
Let o be ((-1)/5)/((-16)/(-40))*0. Let u(f) be the first derivative of 0*f**3 + o*f + 0*f**2 + 1/16*f**4 + 2. Factor u(b).
b**3/4
Suppose 5*w - 3*w - 63 = -5*j, 2*j - 25 = -w. Let h = j + -11. What is s in -6*s**2 + 4*s + 2*s**h + 6*s**2 = 0?
-2, 0
Let a(v) = -3*v**2 + 11*v + 4. Let q be 4*(-1)/(-2) - 0. Suppose m = -1 - 4. Let r(p) = -p**2 + 5*p + 2. Let g(c) = m*r(c) + q*a(c). Solve g(f) = 0.
-2, -1
Let j(s) be the third derivative of -s**5/270 + s**4/108 + 14*s**3/9 + 284*s**2. Solve j(x) = 0 for x.
-6, 7
Suppose 0 = 3*h - 57 + 27. Solve -13*b**3 + 0*b**5 - b**5 + h*b**3 - b**2 - 3*b**4 = 0 for b.
-1, 0
Let t = -40 - -88. What is n in -t*n**3 + n + 5*n + 6*n + 39*n**3 - 3*n**4 = 0?
-2, 0, 1
Let i be 2/((-22)/(-6) - 3). Factor i*t**2 - 38 + 42 - 4*t**2.
-(t - 2)*(t + 2)
Let z(m) = -m**2 - 5*m + 6. Let i be z(-6). Let a(s) = s + 11. Let g be a(-7). Factor -125*c**5 - g*c**3 + 0 + 127*c**5 + 2*c + i.
2*c*(c - 1)**2*(c + 1)**2
Let p(w) be the first derivative of -3*w**3/5 + 191*w**2/10 - 42*w/5 + 19. Solve p(o) = 0 for o.
2/9, 21
Let m be (4/(3 - -1))/((-2)/14). Let s(c) = c**4 - c**3 + 7*c**2 - 7*c + 7. Let r(y) = y**4 - y**3 + 6*y**2 - 6*y + 6. Let t(p) = m*r(p) + 6*s(p). Factor t(l).
-l**3*(l - 1)
Let t be (342/819)/19*28. Determine m so that t*m - 2/13*m**2 - 6/13 = 0.
1, 3
Let w(c) be the third derivative of -c**7/140 - 7*c**6/80 + c**5/5 + 2*c**2 + 7*c. What is s in w(s) = 0?
-8, 0, 1
Let k(g) = -g**5 + g**2 - g + 1. Let a(s) = 4*s**5 + 9*s**4 - 12*s**3 - s**2 - 3*s + 3. Let l(t) = -a(t) + 3*k(t). What is h in l(h) = 0?
-2, -2/7, 0, 1
Let o(l) be the third derivative of -5*l**8/2352 - l**7/210 + 43*l**6/840 + 3*l**5/20 + 3*l**4/28