actor -n + 1/7*s**2 - 2/7*s.
(s - 4)*(s + 2)/7
Let x(s) be the second derivative of 5/33*s**7 + 0 - 69*s - 1/11*s**4 + 37/110*s**5 + 0*s**2 + 0*s**3 - 2/5*s**6. What is z in x(z) = 0?
0, 2/7, 3/5, 1
Let n(y) be the first derivative of 2/27*y**3 + 200*y + 52 - 20/3*y**2. Factor n(x).
2*(x - 30)**2/9
Let l(q) be the second derivative of -13/22*q**4 + 169/11*q**3 + 1 - 14*q + 1/110*q**5 - 2197/11*q**2. Find y, given that l(y) = 0.
13
Suppose -4*f + 0*f = -8. Suppose -19*t + 4 = 124*t - 425. Let -194*l**f + 103*l**2 - 2*l**t + 93*l**2 = 0. Calculate l.
0, 1
Factor -452*m - 331994 - 2/13*m**2.
-2*(m + 1469)**2/13
Let s(c) = 18*c**4 + 35*c**3 + 67*c**2 + 51*c + 16. Let j(w) = 44*w**4 + 88*w**3 + 168*w**2 + 128*w + 40. Let t(p) = 5*j(p) - 12*s(p). Factor t(b).
4*(b + 1)**3*(b + 2)
Factor 63*r + 60 - 29*r**2 + 32*r**2 + 156 - 30 + 36*r.
3*(r + 2)*(r + 31)
Let u(h) = -4*h**3 - 21*h**2 - 17*h. Let l be -3 + 3 - (-1 + 5). Let t(j) = -2*j**3 - 10*j**2 - 8*j. Let z(w) = l*u(w) + 10*t(w). Factor z(i).
-4*i*(i + 1)*(i + 3)
Determine h so that 6 + 2*h**3 - 16*h**2 + 34*h - 4 - 14 - 8 = 0.
1, 2, 5
Suppose 7*q + 22 - 337 = 0. Suppose 0 = 47*d - q*d. Solve -2/5*a + d + 2/5*a**2 = 0 for a.
0, 1
Let g(q) be the third derivative of -2*q**2 + 7/480*q**6 - 96*q - 1/840*q**7 + 0 + 0*q**4 - 1/20*q**5 + 0*q**3. Factor g(o).
-o**2*(o - 4)*(o - 3)/4
Let s be 96/(-5 + -3)*-187. Let d = -2242 + s. Let 3*m**d + 7/2*m + 0 - 1/2*m**3 = 0. What is m?
-1, 0, 7
Let h be (0/83)/(2/1). Let a(q) be the first derivative of 1/6*q**3 + 1/16*q**4 - 1/20*q**5 + 12 + h*q + 0*q**2. Suppose a(n) = 0. Calculate n.
-1, 0, 2
Let j be 30*(-10)/(-30) + -8. Find v, given that -17*v + v - 4*v - 3*v**2 - v**j - 14 + 38 = 0.
-6, 1
Let w = -39701 - -86429075/2177. Let a = 4384/32655 + w. Factor -2/15 + 2/15*u + 2/15*u**2 - a*u**3.
-2*(u - 1)**2*(u + 1)/15
Let y(z) be the second derivative of -z**5/510 - 29*z**4/204 - 28*z**3/51 - 89*z**2/2 + 58*z. Let g(w) be the first derivative of y(w). Solve g(l) = 0 for l.
-28, -1
Let j(i) be the second derivative of i**7/147 + 3*i**6/5 - 32*i**5/35 + 5*i - 237. Determine y so that j(y) = 0.
-64, 0, 1
Let o = -2256 - -4151. Let r = o + -1892. Determine k, given that 24*k + 2/5*k**r - 144/5 - 28/5*k**2 = 0.
2, 6
Let y(c) be the third derivative of -c**6/24 + 3*c**5/2 + 545*c**4/24 + 115*c**3 - 34*c**2 - 6*c + 1. Factor y(u).
-5*(u - 23)*(u + 2)*(u + 3)
Let m be (12/(-11))/(1504/(-18612)). Suppose -1/6*l**3 - 19/6*l**2 - m - 33/2*l = 0. Calculate l.
-9, -1
Let x(c) be the first derivative of 2*c**3/21 - 1555*c**2/7 - 9936. Factor x(y).
2*y*(y - 1555)/7
Let w be (21/3)/((-24)/30 + 2064/480). Let 12*f + 1/2*f**w + 23/2 = 0. What is f?
-23, -1
Let w = 6232/265 + -992/53. Let l(j) be the first derivative of -2*j**3 + 5/2*j**6 + 0*j + w*j**5 + 29 + 0*j**2 + 3/4*j**4. Determine g, given that l(g) = 0.
-1, 0, 2/5
Let i(n) be the third derivative of n**5/30 + 39*n**4 - 469*n**3/3 + 1968*n**2. Factor i(k).
2*(k - 1)*(k + 469)
Let g = -285 - -281. Let h(z) = -z**4 - z**3 - z**2 + z. Let u(t) = 6*t**3 + 8*t**2 + 6*t. Let l(p) = g*h(p) + 2*u(p). Let l(y) = 0. Calculate y.
-2, -1, 0
Suppose 0 = v - 3*v - 30, 186*v = s + 178*v - 123. Suppose s*q**5 + 9/2*q**4 - 21*q**2 + 18*q - 33/2*q**3 + 12 = 0. Calculate q.
-2, -1/2, 1, 2
Factor -525*d + 678*d**2 - 7*d**3 + 2*d**3 + 0*d**3 + 102*d**2 - 250*d**2.
-5*d*(d - 105)*(d - 1)
Let x(p) = -p**2 + p + 1. Let r(j) = -j**3 - 61*j**2 - 1457*j - 1. Let o(k) = r(k) + 5*x(k). Let i(t) be the first derivative of o(t). Factor i(g).
-3*(g + 22)**2
Let n(j) be the third derivative of 0*j**4 - j**2 + 0 + 0*j + 1/120*j**5 - 1/1440*j**6 + 5/2*j**3. Let a(b) be the first derivative of n(b). Factor a(k).
-k*(k - 4)/4
Let n be (1 + (-13)/7)/(612/28 + -22). Let p(f) be the first derivative of -1/27*f**n - 2/9*f - 29 - 1/9*f**2 + 1/9*f**4 + 4/27*f**3 - 2/45*f**5. Factor p(q).
-2*(q - 1)**2*(q + 1)**3/9
Let l = -3766 + 15065/4. Let x(j) be the third derivative of 1/24*j**6 + l*j**5 + 0 + 0*j + 0*j**3 + 22*j**2 + 0*j**4. Let x(s) = 0. What is s?
-3, 0
Let a(u) be the third derivative of -11*u**7/21 + 421*u**6/24 + 129*u**5/4 - 85*u**4/3 - 200*u**3/3 - 613*u**2. Suppose a(d) = 0. Calculate d.
-1, -4/11, 1/2, 20
Determine f so that -687/5*f + 471/5*f**4 - 933/5*f**2 + 462/5 + 6/5*f**5 + 681/5*f**3 = 0.
-77, -2, -1, 1/2, 1
Let r(h) = 12492*h - 35*h**5 - 20*h**4 - 12492*h. Let q(s) = -9*s**5 - 5*s**4. Let d(n) = 15*q(n) - 4*r(n). Factor d(u).
5*u**4*(u + 1)
Find z such that -24/7 + 0*z**2 + 26/7*z - 2/7*z**3 = 0.
-4, 1, 3
Solve -2/17*i**2 + 120/17*i - 342/17 = 0.
3, 57
Let z(q) = -11*q**3 - 93*q**2 + 278*q + 368. Let t(c) = -75*c**3 - 650*c**2 + 1945*c + 2575. Let f(u) = 8*t(u) - 55*z(u). Factor f(o).
5*(o - 12)*(o - 6)*(o + 1)
Let 798/5*s**2 - 522/5*s**3 + 123/5*s**4 + 27 + 3/5*s**5 - 537/5*s = 0. What is s?
-45, 1
Let o be ((-6)/(-4))/((1872/654)/4) - 32/128. Suppose 0*k + 2/13*k**4 + 0 - 2*k**2 - o*k**3 = 0. Calculate k.
-1, 0, 13
Let w be (-11 - 11 - -18)*(-9)/12. Factor -2/3*p**4 + 8/3*p**w + 0 + 0*p**2 + 0*p.
-2*p**3*(p - 4)/3
Let r(l) be the third derivative of l**8/2016 + 2*l**7/315 - l**6/360 - 2*l**5/45 + l**4/144 + 2*l**3/9 - 26*l**2 + 11. Solve r(f) = 0 for f.
-8, -1, 1
Let f(h) be the third derivative of h**6/420 - 37*h**5/210 + 17*h**4/42 + 24*h**3/7 + 101*h**2 - 1. Factor f(v).
2*(v - 36)*(v - 2)*(v + 1)/7
Let s(j) be the second derivative of -j**5/120 + 8*j**4/3 - 1024*j**3/3 - 257*j**2/2 - 28*j. Let x(c) be the first derivative of s(c). What is d in x(d) = 0?
64
Let a be (((-84)/9)/(-14))/(2*4/16). Let -44/3*y**2 + a*y**3 - 4/3*y**5 - 16/3 + 4*y**4 + 16*y = 0. Calculate y.
-2, 1, 2
Suppose d = 2*d - 2. Let v = 267992 - 3483892/13. Find y, given that 2/13*y**d + v - 6/13*y = 0.
1, 2
Let o be (525/(-14))/(-15)*(-499)/(-5). Let r = 250 - o. Determine n so that -r*n + 3/4 - 3/4*n**2 + 1/2*n**3 = 0.
-1, 1, 3/2
Let a(s) be the first derivative of -s**4/30 + 172*s**3/45 - 430. Solve a(o) = 0 for o.
0, 86
Let u(y) be the second derivative of 17*y**5/10 - 5*y**4/2 - 2*y**3/3 - 18*y + 3. Let i(r) = -r**3 + r**2. Let a(v) = -12*i(v) - u(v). Factor a(n).
-2*n*(n - 1)*(11*n + 2)
Let i(h) be the first derivative of 4*h**3/3 + 78*h**2 + 1496*h - 2226. Suppose i(d) = 0. Calculate d.
-22, -17
Let n(l) be the second derivative of l**4/48 - 1145*l**3/12 + 1311025*l**2/8 - 4140*l. Factor n(d).
(d - 1145)**2/4
Let z(i) be the second derivative of -i**5/60 - 49*i**4/36 - 51*i**3/2 + 1215*i**2/2 + 75*i - 6. Suppose z(y) = 0. What is y?
-27, 5
Factor r**5 - 5*r + 6*r + r + 4*r**3 + 11*r**4 - 7*r**2 - 16*r**4 + 5*r**3.
r*(r - 2)*(r - 1)**3
Let r(i) be the first derivative of -i**4/8 - 7*i**3/3 + 49*i**2/4 - 17*i - 3733. Factor r(z).
-(z - 2)*(z - 1)*(z + 17)/2
Suppose 5*z = 51 - 41. Let i(g) = g**3 + g + 4. Let h be i(0). Let -11*b**4 - 13*b**3 + 2*b**4 + 2*b**z - 5*b**2 - 3*b**5 + h*b**3 = 0. What is b?
-1, 0
Let u be (-4)/(-38) + (-21675)/323. Let c = -63 - u. Determine y, given that -10 + c*y + 0 - 2*y**3 + 2 + 8*y**2 - 2*y**3 = 0.
-1, 1, 2
What is k in 1/4*k**2 - 341*k + 116281 = 0?
682
Let z be (-372)/(-9)*(1 + -10). Let i = -369 - z. Let 8/13*a**4 + 24/13*a**i - 24/13*a + 8/13 + 2/13*a**2 = 0. Calculate a.
-2, 1/2
Suppose 264*h**2 - 1936/3*h + 0 + 2/3*h**4 + 28*h**3 = 0. What is h?
-22, 0, 2
Let z(r) = -r**3 - 13*r**2 - 11*r - 41. Let i be z(-13). Factor -18*s**3 - i*s**2 + s**4 - 4*s**4 + 44*s**2 + 22*s**2 - 24*s.
-3*s*(s + 2)**3
Let y(g) = 4*g**5 + 4*g**4 - 11*g**3 + 3*g. Let f(j) = -4*j**5 - 5*j**4 - 2*j + 10*j**3 + 0*j - 7*j**4 + 8*j**4. Let i(r) = 3*f(r) + 2*y(r). Factor i(x).
-4*x**3*(x - 1)*(x + 2)
Let p = 9322 - 3439. Solve i + i + 1 + 5884*i**2 - p*i**2 = 0 for i.
-1
Let u(k) be the second derivative of k**5/80 + 7*k**4/16 + 71*k**3/24 + 51*k**2/8 - 134*k + 3. Solve u(q) = 0 for q.
-17, -3, -1
Suppose w - 4 = -w. Factor 764*l**3 + 200 - 772*l**3 - 212*l - 158*l**w - 548*l.
-2*(l + 10)**2*(4*l - 1)
Let j(g) = g**4 - g**3 - 2*g**2 + 21*g. Let c(o) = 6*o**4 - 153*o**3 - 876*o**2 + 21069*o - 63075. Let t(k) = c(k) - 9*j(k). Factor t(h).
-3*(h - 5)**2*(h + 29)**2
Let f(t) be the third derivative of 0*t + 39*t**2 - 3 - 1/60*t**5 - 23/12*t**4 - 529/6*t**3. Factor f(m).
-(m + 23)**2
Let v(x) = -2*x**3 + 11. Let n(a) = -9*a**3 - 144*a**2 - 3*a + 210. Let t(