 - 1443*s**3 + s + 702*s**3 = 0 for s.
-3, -1/15, 0
Determine v, given that -5*v**4 + 1180*v**2 + 125*v**2 - 425*v**3 + 112681*v + 558 - 118 - 113996*v = 0.
-88, 1
Let j(c) be the first derivative of -1/20*c**5 + 83 + 0*c + 1/4*c**2 + 1/4*c**3 + 0*c**4. Find s such that j(s) = 0.
-1, 0, 2
Suppose y = -13, -2854*y + 1424*y - 39 = g - 1427*y. Solve g + 4/7*l**3 + 124/7*l**2 + 120/7*l = 0 for l.
-30, -1, 0
Factor -2005*s + 1190 + 777*s**2 - 303*s - 67*s + 274*s**2 + 5*s**3 + 129*s**2.
5*(s - 1)**2*(s + 238)
Let n(v) be the first derivative of 3*v**5/5 - 63*v**4/4 + 19*v**3 + 63*v**2/2 - 60*v - 654. Determine g so that n(g) = 0.
-1, 1, 20
Suppose 4*s - d = -1522, -20*s = -23*s - 4*d - 1151. Let h = -378 - s. What is u in 12/7*u**2 - 2/7*u**h - 10/7*u + 0 = 0?
0, 1, 5
Let i be 3/(42/32) + 114/(-399). Factor i*y**2 + 3*y**2 + 2*y**3 + 264*y - 16 - 260*y + 5*y**2.
2*(y - 1)*(y + 2)*(y + 4)
Let f(k) be the first derivative of -4*k**3 + 4*k**2 + 82 + 0*k - 8*k**4 - 12/5*k**5. Factor f(s).
-4*s*(s + 1)*(s + 2)*(3*s - 1)
Find z, given that 2/13*z**5 + 0 + 2/13*z**4 - 10/13*z**2 - 6/13*z**3 - 4/13*z = 0.
-1, 0, 2
Factor -6*i**2 + 279/2 + 235/4*i - 1/4*i**3.
-(i - 9)*(i + 2)*(i + 31)/4
Let l = 139 + -239. Let j be (-2)/(-15)*6*l/(-40). Factor -5 - 63*z**2 + 126*z**2 - 58*z**j.
5*(z - 1)*(z + 1)
Let g(v) be the second derivative of -v**4/60 - 73*v**3/15 + 147*v**2/10 + 1674*v. Factor g(o).
-(o - 1)*(o + 147)/5
Let w(n) be the second derivative of -n**7/1260 - n**6/180 + 2*n**5/15 - 73*n**4/12 + 20*n - 2. Let f(z) be the third derivative of w(z). Factor f(o).
-2*(o - 2)*(o + 4)
Let s = -150 - -152. Determine i so that 5*i**2 + i**5 - 9*i**2 + 0*i**5 - i**3 + i**4 + 3*i**s = 0.
-1, 0, 1
Suppose -6*i - 1396 + 1430 = 11*i. Let k(u) be the first derivative of 15/2*u**i + 5/3*u**3 + 11 + 0*u. Factor k(j).
5*j*(j + 3)
Let o(r) be the third derivative of r**7/126 + 197*r**6/72 + 261*r**5 - 19250*r**4/9 - 100000*r**3/9 - 1380*r**2 - 2*r. What is a in o(a) = 0?
-100, -1, 4
Let y(d) be the second derivative of d**6/30 + 97*d**5/20 + 93*d**4/2 + 550*d**3/3 + 364*d**2 - 3*d - 8. Let y(t) = 0. What is t?
-91, -2
Let r = -12026709/13628 - 1/13628. Let x = -879 - r. Factor -1/2*f**2 + 3*f + x.
-(f - 7)*(f + 1)/2
Factor -1/2*a**3 + 0 - 10*a - 9/2*a**2.
-a*(a + 4)*(a + 5)/2
Let i(n) be the first derivative of n**7/40 + 89*n**6/120 + 29*n**5/20 - 3*n**4 + 97*n**3/3 + 104. Let t(b) be the third derivative of i(b). Factor t(m).
3*(m + 1)*(m + 12)*(7*m - 2)
Suppose 2*o = -26*f + 21*f + 13, -f + 21 = 5*o. Let w(m) be the third derivative of -1/30*m**5 - 22*m**2 + 0*m**o + 0 + 1/60*m**6 + 0*m**3 + 0*m. Factor w(b).
2*b**2*(b - 1)
Let i = -10335 - -10338. Let r(h) be the first derivative of -1/9*h**2 - 7 - 2/27*h**i + 4/3*h. Determine s so that r(s) = 0.
-3, 2
Let x(i) = -i + 10. Let u be x(8). Suppose 772 = 5*g - 2*v, -u*g + 296 = 2*v - 6*v. Let -g - 336*n + 101 - 89 - 196*n**2 = 0. Calculate n.
-6/7
Let r(n) be the first derivative of n**5 - 55*n**4/2 + 95*n**3 - 314. Suppose r(v) = 0. Calculate v.
0, 3, 19
Let m be 20*3/5 - -7*1062/(-630). Suppose 0*s - 2*s + 8 = 0. Determine t so that 18/5*t**2 + m*t**3 + 2/5 - 6/5*t**s - 3*t = 0.
-2, 1/6, 1
Let n(z) be the first derivative of 75*z**5 - 17475*z**4/4 + 3465*z**3 - 2073*z**2/2 + 138*z + 1997. Factor n(w).
3*(w - 46)*(5*w - 1)**3
Let d = -54411 - -54439. Determine g so that -d*g - 12*g**2 - 49/3 = 0.
-7/6
Let g = -2082 - -2327. Let f be (8 - g/25)/(4/(-5)). Factor f*a**2 + 33/4*a + 9/2.
3*(a + 3)*(3*a + 2)/4
Find t, given that -120/7*t + 3/7*t**2 + 1200/7 = 0.
20
Let g be (-3*2/(-6)*2)/(585/936). Find m, given that 4/5*m + 12/5*m**2 - g - 1/5*m**4 + 1/5*m**3 = 0.
-2, 1, 4
Suppose -2*b = -5*l - 3*b - 12, l + 6 = -2*b. Let p be ((-19)/4 - (-15 - -8)) + l. Find n, given that 3*n - 11/4 - p*n**2 = 0.
1, 11
Let h be (16/(-6))/((-22)/6). Let p be (2 + 20/(-15))/((-89)/(-267)). Let -h*z + 0 - 10/11*z**p = 0. What is z?
-4/5, 0
Suppose -2*c + 8 = -3*a - 10, -4*a + 2*c = 24. Let x(q) = -q**2 + 2*q + 50. Let y be x(a). Factor 0 + 2*f**y - 1/5*f**3 - 5*f.
-f*(f - 5)**2/5
Let s = 242728 + -242726. Factor 12/7*u + 10/7 + 2/7*u**s.
2*(u + 1)*(u + 5)/7
Let h = -293491 + 1467456/5. Factor 2916/5 + h*l**5 - 1944/5*l + 23/5*l**4 - 27*l**2 + 139/5*l**3.
(l - 2)**2*(l + 9)**3/5
Let t be -74*44/(-22) - (7 + 0). Suppose 56*z + 29 = t. Let 0 + 100/9*k + 4/9*k**4 + 140/9*k**z + 44/9*k**3 = 0. What is k?
-5, -1, 0
Let -162*g + 3/2*g**4 - 39*g**2 + 30*g**3 - 189/2 = 0. What is g?
-21, -1, 3
Suppose -21 = -2*g + 9*g. Let u(j) = 10*j**2 + 9*j + 18. Let z(d) = 17*d**2 + 18*d + 36. Let a(n) = g*z(n) + 5*u(n). Solve a(p) = 0 for p.
-6, -3
Let h(x) be the third derivative of -3*x**6/160 + 5*x**5/24 + 3*x**4/32 - 25*x**3/12 - 111*x**2 - 17. What is f in h(f) = 0?
-1, 1, 50/9
Let n(f) be the first derivative of 4/7*f + 1/21*f**4 - 1/3*f**2 - 8 - 22/63*f**3. Factor n(x).
2*(x - 6)*(x + 1)*(2*x - 1)/21
Let f = 170 + -174. Let c be (-30)/f*32/72. Let 0 - 35/6*p**3 - 5/3*p**2 + 10/3*p**5 + 0*p - c*p**4 = 0. Calculate p.
-1/2, 0, 2
Let s(c) be the second derivative of 1/20*c**5 + 1/12*c**4 + 4*c**2 + 0 - 5/3*c**3 + 197*c. Factor s(z).
(z - 2)*(z - 1)*(z + 4)
Let o(j) be the first derivative of j**4/18 - 14*j**3/9 - 32*j**2/3 - 200*j/9 - 629. Factor o(w).
2*(w - 25)*(w + 2)**2/9
Let h(c) be the second derivative of 0*c**3 + 1/40*c**5 + 0 - 34*c - 1/16*c**4 + 1/8*c**2. Let h(x) = 0. What is x?
-1/2, 1
Determine z, given that 13 + 151*z + 120 - 3*z**2 + 74 + 53*z = 0.
-1, 69
Let q(t) = -2*t**3 + t + 2. Let n(f) = -10*f**3 + 4 - 8*f**3 + 3*f**3 + 59*f**2 - 65*f - 8*f**3 + 33. Let o(c) = -5*n(c) + 40*q(c). Let o(m) = 0. Calculate m.
3/7, 1, 7
Let p(t) be the second derivative of -t**4/16 - 362*t**3 - 786264*t**2 - 3*t - 753. Factor p(s).
-3*(s + 1448)**2/4
Let l(d) be the second derivative of -d**5/50 + 11*d**4/6 - 244*d**3/15 - 60*d**2 + 618*d - 5. Factor l(r).
-2*(r - 50)*(r - 6)*(r + 1)/5
Let n(d) = 16 + 11915*d + 2*d**2 + 15 - 11954*d + 3*d**2. Let m be n(7). Find w such that -24/5 - 114/5*w**2 - 27/5*w**m - 132/5*w = 0.
-2, -2/9
Let s(c) be the third derivative of -c**9/7560 + c**7/180 + c**6/60 - 5*c**4/4 + 197*c**2. Let g(p) be the second derivative of s(p). Factor g(o).
-2*o*(o - 3)*(o + 1)*(o + 2)
Let y = -121 - -238. Let n = 120 - y. Suppose 11*t - 16 - n*t**2 + 4*t - 4 + 8*t**2 = 0. Calculate t.
-4, 1
Let f(q) = -10*q**2 - 2*q + 164. Let x(c) = -2*c**2 + c + 6. Let m(u) = f(u) - 4*x(u). Factor m(a).
-2*(a - 7)*(a + 10)
Factor 1448/5 + 74*b + 2/5*b**2.
2*(b + 4)*(b + 181)/5
Suppose 4*v + 3*t = 6, v + 163 - 161 = t. Factor v*i**2 + 0 + 0*i**3 - 1/3*i**4 + 1/6*i**5 + 0*i.
i**4*(i - 2)/6
Let v(t) be the third derivative of 61*t**6/24 + t**5/6 + 1005*t**2. Suppose v(g) = 0. What is g?
-2/61, 0
Let c(i) be the second derivative of 33 - 16*i**2 + 3*i - 1/4*i**4 - 97/6*i**3. Solve c(v) = 0 for v.
-32, -1/3
Let a(n) be the second derivative of -n**6/240 + 3*n**5/32 + 7*n**4/96 - 33*n**3/16 - 45*n**2/8 - 464*n. Solve a(w) = 0.
-2, -1, 3, 15
Let o(m) be the second derivative of -5*m**4/12 + 50*m**3 - 1375*m**2/2 - 3395*m. Factor o(g).
-5*(g - 55)*(g - 5)
Suppose 2*d = 4*l - 2, -l + d = 2 - 1. What is g in -247*g**l - 116*g + 113*g**2 + 120 + 130*g**2 = 0?
-30, 1
Let b(c) be the third derivative of -c**8/168 + 17*c**7/105 - 83*c**6/60 + 91*c**5/30 + 7*c**4 - 36*c**3 + c**2 + 1039. Find y such that b(y) = 0.
-1, 1, 2, 6, 9
Suppose 1347 - 1351 = -2*v. Let g be (-2 - (-77)/35)/(v/30). Suppose 0*c + 0 + 2/5*c**g - 2/5*c**2 = 0. What is c?
0, 1
Factor 17/4*c**3 + 103/4*c + 11 + 1/4*c**4 + 75/4*c**2.
(c + 1)**2*(c + 4)*(c + 11)/4
Let n(k) be the second derivative of -k**4/4 - 802*k**3 - 964806*k**2 - 447*k - 3. Determine l so that n(l) = 0.
-802
Let l(o) = -5*o**3 + 25*o**2 - 45*o + 15. Let s = -171 - -165. Let y(q) = 5*q**3 - 25*q**2 + 46*q - 14. Let c(w) = s*l(w) - 5*y(w). Factor c(a).
5*(a - 2)**2*(a - 1)
Let m(o) be the second derivative of -2*o**7/15 + 29*o**6/75 - 8*o**5/25 + o**4/30 - 232*o + 2. Solve m(u) = 0.
0, 1/14, 1
Let m = -1616 + 1232. Let v be 18 - m/(-21) - (-13)/21. Solve -1/3*u**5 + 2/3*u**2 + v - u**4 + u - 2/3*u**3 = 0.
-1, 1
Let s = 280 - 286. Let l(v) = -v**2 + v - 3. Let k(c) = -2*c**3 - 8*c**2 + 14*c + 50. Let r(i) = s*l(i) - k(i). What is x in r(x) =