Solve 94/11*l**2 - 8/11 - 126/11*l**3 + 0*l + 40/11*l**n = 0.
-1/4, 2/5, 1, 2
Let c(n) be the first derivative of n**6/12 + 49*n**5/5 - 199*n**4/8 + 50*n**3/3 + 2340. Let c(h) = 0. Calculate h.
-100, 0, 1
Let z = 1509282/660317 - -2/94331. Find b, given that 6/7*b**3 + 4/7 + 2*b + z*b**2 = 0.
-1, -2/3
Let a be 5/25*-110 - -24. Factor -a + 8/3*y - 2/3*y**2.
-2*(y - 3)*(y - 1)/3
Let -3/2*b**5 - 35781649215/2*b - 161907915*b**2 - 3315/2*b**4 - 732615*b**3 - 1581548895303/2 = 0. What is b?
-221
Let k(i) = -i**4 + i**3 - 2*i**2 + 19*i. Let z(l) = l**4 - 336*l**3 - 1423*l**2 - 1714*l - 720. Let c(p) = 4*k(p) - z(p). Factor c(h).
-5*(h - 72)*(h + 1)**2*(h + 2)
Let k = -3541 + 3545. Let w(u) be the second derivative of 8*u + 0 + 4/3*u**2 - 5/6*u**k - 4/9*u**3. Suppose w(x) = 0. What is x?
-2/3, 2/5
Let u(w) = -21*w**3 + 162*w**2 + 441*w + 204. Let j(c) = -3*c**3 + 23*c**2 + 63*c + 29. Let i be 36/(9 + -3) + 21. Let m(f) = i*j(f) - 4*u(f). Factor m(k).
3*(k - 11)*(k + 1)**2
Suppose 15*a = 13*a + 18. Factor 8*y**2 + 4 + a*y**2 + 4 + 2*y**2 - 7*y**2 + 20*y.
4*(y + 1)*(3*y + 2)
Determine k, given that -278*k**2 - 4*k - 287*k**2 - 282 + 7*k**3 + 89*k**2 - 3*k**3 + 758 = 0.
-1, 1, 119
Let w(j) be the first derivative of 2/35*j**5 + 2/7*j - 4/21*j**3 - 1/7*j**2 + 80 - 1/21*j**6 + 1/7*j**4. Suppose w(v) = 0. What is v?
-1, 1
Let y(u) be the third derivative of -u**5/15 + 28*u**4 - 334*u**3/3 + 2*u**2 - u - 1044. Find x such that y(x) = 0.
1, 167
Suppose u - 15 = -12. Let t(v) be the first derivative of 0*v**3 - v**u - 16 - 11*v**2 + 8*v**2. What is w in t(w) = 0?
-2, 0
Let o be 332418/14008 + 14 + (-20160)/1442. Factor -1/4*i**3 + 23/2*i**2 + o*i + 12.
-(i - 48)*(i + 1)**2/4
Let w(q) be the second derivative of 3*q**5/20 + 319*q**4/4 + 25599*q**3/2 + 75843*q**2/2 - 3590*q. Factor w(y).
3*(y + 1)*(y + 159)**2
Let f(g) be the first derivative of 1/2*g + 31 - 1/20*g**5 - 3/8*g**2 + 3/16*g**4 - 1/12*g**3. Factor f(b).
-(b - 2)*(b - 1)**2*(b + 1)/4
Let f(z) = 8*z**2 - 224*z - 207. Let n(c) = -11*c**2 + 334*c + 310. Let l(u) = -7*f(u) - 5*n(u). Find w, given that l(w) = 0.
-101, -1
Let g = 1138817/9 - 126535. Determine h so that -2/9*h + g*h**2 + 0 = 0.
0, 1
Let i(s) be the second derivative of 17*s + 0*s**4 + 1/270*s**6 + 5/6*s**2 + 1/30*s**5 - 1 - 11/27*s**3. Suppose i(d) = 0. Calculate d.
-5, -3, 1
Factor 2/5*s**2 + 109512/5 + 936/5*s.
2*(s + 234)**2/5
Let i(g) = 2*g**2 + 4*g + 4. Let z(t) = -t + 2. Let y be z(0). Let n(w) = -10*w**y + 7*w**2 + 7*w**2 + 7*w + 8. Let c(b) = -5*i(b) + 2*n(b). Factor c(r).
-2*(r + 1)*(r + 2)
Let k(g) be the first derivative of -60*g - 5/6*g**3 - 25/2*g**2 - 290. Factor k(q).
-5*(q + 4)*(q + 6)/2
Let g(i) = -i**3 - 3*i**2 - 1. Let p(u) = -81*u**4 + 749*u**3 - 1354*u**2 + 700*u + 2. Let f(r) = -6*g(r) - 3*p(r). Let f(q) = 0. What is q?
0, 10/9, 7
Let n = 1116827/3 + -372275. Let b = -282 - -854/3. Suppose n*q**4 - 8/3*q - 4*q**2 + 10/3 + b*q**3 = 0. Calculate q.
-5, -1, 1
Factor 26934*u + 243/2*u**3 - 3618*u**2 + 0.
3*u*(9*u - 134)**2/2
Let j = 26297 + -26293. Let l(h) be the first derivative of 3/7*h**3 + 3/28*h**j - 31 + 0*h + 3/7*h**2. Factor l(z).
3*z*(z + 1)*(z + 2)/7
Suppose 4*g = 3*q + 2, 3*g - 4*q + 4 = g. What is h in 40*h**3 - 437*h**g + 6*h**5 - h**5 + 417*h**2 - 25*h**4 = 0?
0, 1, 2
Let y = -5 - -2. Let z be 18/(2*y/(-9)). Suppose -j - 45 - 16*j - z*j + 4*j + 5*j**2 = 0. Calculate j.
-1, 9
Let r(d) be the first derivative of -d**5/36 + 3*d**4/4 - 49*d**3/18 - d**2/2 + 5*d - 145. Let j(w) be the second derivative of r(w). Let j(z) = 0. What is z?
1, 49/5
Let p be (-56)/(2 + 6)*9/(-21). Factor -l**2 - 4*l**2 + 3*l + 10*l**2 - 3*l**3 + l**2 - p - 3*l**2.
-3*(l - 1)**2*(l + 1)
Let x(u) be the second derivative of -3*u**5/20 + u**4 - 95*u. Factor x(k).
-3*k**2*(k - 4)
Factor -378*w - 90*w**2 + 325*w - 5*w**3 - 452*w - 900.
-5*(w + 4)*(w + 5)*(w + 9)
Let 272548*x + 272380*x + 32*x**4 - 544174*x + 108 + 850*x**2 - 1744*x**3 = 0. Calculate x.
-1/4, 1, 54
Let a = 188 - 183. Let y be (-21)/14*(-5)/a. Determine k, given that -3/2*k**3 + 0*k + 0*k**2 + y*k**4 + 0 = 0.
0, 1
Let u(x) be the first derivative of x**6/9 + x**5/2 - x**4/2 - 23*x**3/9 + 4*x**2 - 3*x/2 + 11060. Suppose u(i) = 0. Calculate i.
-3, 1/4, 1
Factor 4/3*t**2 - 352/3 - 24*t.
4*(t - 22)*(t + 4)/3
Let y(g) be the second derivative of -3/2*g**3 + 6*g - 4 + 1/8*g**4 + 6*g**2. Determine n so that y(n) = 0.
2, 4
Let j(x) be the third derivative of -x**6/100 - 59*x**5/300 + 29*x**4/40 + 11*x**3/3 + 106*x**2 - 5*x. Factor j(q).
-(q - 2)*(q + 11)*(6*q + 5)/5
Find p such that 5/4*p**2 - 1135/2*p + 0 = 0.
0, 454
Suppose 0 = -5*p - 3*m - 2231, -14*p + 2*m = -19*p - 2229. Let v be 1 + 1 + (-178)/p. Factor v*h - 16/5 + 4/5*h**2.
4*(h - 1)*(h + 4)/5
Let o(u) be the second derivative of 1/6*u**3 + 2*u + 1/12*u**4 - u**2 - 32. Determine w, given that o(w) = 0.
-2, 1
Let w(n) = -n**3 - 6*n**2 - 4. Let m be w(-6). Let f(d) = -8*d**3 - 4*d**2 + 4*d + 16. Let c(z) = z**3 - z**2 - 2. Let u(l) = m*c(l) - f(l). Factor u(v).
4*(v - 1)*(v + 1)*(v + 2)
Let g(r) = r**2 - 5*r - 8. Let p be g(7). Let w be 1 - (-4)/(-40)*-4*(-5)/(-1). Find l such that -9/2*l**2 + p - 3/2*l**w + 0*l = 0.
-2, 1
Suppose 49/6*d**3 + 1211/6*d - 503/6*d**2 + 294 - 1/6*d**4 = 0. Calculate d.
-1, 7, 36
Let l(d) be the second derivative of -3*d**5/5 + 697*d**4/4 - 15225*d**3 + 22707*d**2/2 + 120*d + 1. Factor l(s).
-3*(s - 87)**2*(4*s - 1)
Let l(p) be the third derivative of p**6/24 + 241*p**5/12 + 71995*p**4/24 - 73205*p**3/6 + 471*p**2. Factor l(o).
5*(o - 1)*(o + 121)**2
Suppose 0 = 9*v - 4055 + 4019. Factor 0 - 4/11*l**3 - 2/11*l**v - 2/11*l**2 + 0*l.
-2*l**2*(l + 1)**2/11
Let u be (-8 - -5) + (0 - -8) + -1. Let j = -280 + 282. Let -3/4*p**j + 3/4*p + 1/2 - 3/4*p**u - 7/4*p**3 = 0. What is p?
-1, 2/3
Factor 1841 - 768*c**4 - 14022*c + 9926 - 506*c**2 + 769*c**4 + 2665*c**2 - 90*c**3 + 185*c**2.
(c - 41)**2*(c - 7)*(c - 1)
Let x(t) be the third derivative of 5*t**2 + 11 + 16/3*t**3 - 11/3*t**4 + 0*t - 4/3*t**5 - 7/60*t**6. Factor x(l).
-2*(l + 2)*(l + 4)*(7*l - 2)
Let b(u) be the first derivative of -5*u**4/12 - 5*u**3 + 180*u + 711. Let b(y) = 0. Calculate y.
-6, 3
Let c(i) be the first derivative of -2*i**3/15 + 21*i**2/2 + 53*i/5 - 923. Let c(h) = 0. What is h?
-1/2, 53
Let l(w) be the second derivative of w**6/120 + w**5/80 - 5*w**4/48 + w**3/8 - 197*w. Determine j, given that l(j) = 0.
-3, 0, 1
Let h(y) be the second derivative of -y**5/70 - 101*y**4/42 + 20*y**3 + 5*y - 61. Factor h(i).
-2*i*(i - 4)*(i + 105)/7
Let k(w) be the second derivative of w**6/72 - 7*w**5/24 + 25*w**4/12 - 2*w**3/3 + w**2/2 + 34*w. Let t(v) be the second derivative of k(v). Factor t(h).
5*(h - 5)*(h - 2)
Determine k so that 8/3*k**2 - 1/2*k**5 - 35/6*k - 2 - 2/3*k**4 + 19/3*k**3 = 0.
-4, -1, -1/3, 1, 3
Let q = -10992 + 197857/18. Let b(c) be the third derivative of -q*c**3 - 5/144*c**4 + 0*c + 6*c**2 - 1/90*c**5 - 1/720*c**6 + 0. Factor b(o).
-(o + 1)**2*(o + 2)/6
Let d(m) = 3*m**3 + 33*m**2 - 918*m + 1711. Let k(i) = -i**3 - 10*i**2 + 308*i - 570. Let h(p) = 6*d(p) + 17*k(p). Determine x so that h(x) = 0.
-36, 4
Let k(v) = -13*v**2 - 2*v - 1. Let y(n) be the third derivative of n**5/20 - 25*n**2. Let f be -1 - 42/(-3) - 1. Let o(j) = f*y(j) + 3*k(j). Factor o(z).
-3*(z + 1)**2
Factor 1/3*a**5 + 25*a**4 + 0*a + 0*a**2 + 0 - 76/3*a**3.
a**3*(a - 1)*(a + 76)/3
Let j be (-7)/6*4*9558/(-22302). Let 1/6*t - 1/2*t**j + 1/6*t**4 - 1/6*t**3 + 1/3 = 0. Calculate t.
-1, 1, 2
Let o be 38 + -8 - (1 + 5). Let k(f) = 20*f**2 - 12. Let p(c) = -c**2 + c - 1. Let v(j) = o*p(j) + k(j). Find z such that v(z) = 0.
3
Factor 1/4*r**2 - 29/2*r - 603/4.
(r - 67)*(r + 9)/4
Let v(d) = -d**2 - 97*d - 90. Let x be v(-96). Let o(w) = 3*w - 4. Let g be o(4). What is b in -4/3*b**3 + x*b + 0 - 8/3*b**4 + g*b**2 + 2/3*b**5 = 0?
-1, 0, 3
Let m(q) be the third derivative of q**5/12 + 470*q**4 + 1060320*q**3 + 6*q**2 - 31. Solve m(a) = 0.
-1128
Let d(r) be the third derivative of -4*r**3 - 1/60*r**5 - 3*r**2 - 25/24*r**4 + 0*r - 11. Determine g, given that d(g) = 0.
-24, -1
Let y = -64574/5 - -452168/35. Solve 4/7*v - 22/7*v**4 + 48/7*v**3 - y*v**2 + 0 = 0 for v.
0, 2/11, 1
Factor 317/7 - 1/7*l**2 - 316/7*l.
-(l - 1)*(l + 317)/7
Let u(p) be the first derivative of p*