 i*y**2 = 0. Calculate y.
-3, -2
Determine c, given that -2556/5 - 3/5*c**3 - 864/5*c**2 - 3417/5*c = 0.
-284, -3, -1
Let o = 684572 - 2053708/3. Solve -o*p**2 - 2/3 + 8/3*p = 0 for p.
1/2
Let u(g) be the first derivative of g**5/20 + 3*g**4/16 - 275*g**3/12 + 537*g**2/8 - 133*g/2 - 4453. Factor u(z).
(z - 14)*(z - 1)**2*(z + 19)/4
Let d(r) = 145*r - 429. Let o be d(3). Let y(h) be the second derivative of -1/50*h**o + 0*h**2 + 1/20*h**4 + 0 + 14*h - 1/10*h**3 + 3/100*h**5. Factor y(n).
-3*n*(n - 1)**2*(n + 1)/5
Let s(o) be the third derivative of o**5/60 - 7*o**4/24 + 4*o**3/3 + 45*o**2. Let k be s(6). Factor -6*m - 4 - 36*m**5 + 72*m**5 + 4*m**k + 8*m**3 - 38*m**5.
-2*(m - 2)*(m - 1)*(m + 1)**3
Let p(h) be the first derivative of -h**7/42 + h**6/8 + 2*h**2 + 51. Let j(f) be the second derivative of p(f). Let j(m) = 0. What is m?
0, 3
Let z(o) = -8*o**3 - 253*o**2 + 1125*o - 867. Let n(r) = -7*r**3 - 257*r**2 + 1125*r - 863. Let u(s) = -3*n(s) + 2*z(s). Factor u(q).
5*(q - 3)*(q - 1)*(q + 57)
Let m(y) be the second derivative of 0 - 31/3*y**3 + 0*y**4 + 1/10*y**5 + 171*y + 30*y**2. Factor m(w).
2*(w - 5)*(w - 1)*(w + 6)
Let u(j) be the third derivative of -j**5/120 + 67*j**4/24 + 68*j**3/3 - j**2 + 82*j + 14. Factor u(n).
-(n - 136)*(n + 2)/2
Let j(b) be the first derivative of -b**5/10 + 3*b**4/4 + b**3/6 - 3*b**2/2 - 897. Factor j(r).
-r*(r - 6)*(r - 1)*(r + 1)/2
Let v(b) be the second derivative of -b**9/3024 + b**7/168 + b**6/72 + b**4/12 + 4*b**2 + 95*b. Let d(m) be the third derivative of v(m). Factor d(x).
-5*x*(x - 2)*(x + 1)**2
Let v = -7 - -11. Suppose 16*b = 20*b - 4*w - 28, 6 = -2*w. Let 13*d**4 - 8*d**4 - b*d**2 - v*d - 2*d**2 - 3*d**4 = 0. What is d?
-1, 0, 2
Let x(v) be the third derivative of -2*v**7/15 - 23*v**6/30 - 4*v**5/3 - 2*v**4/3 + 15*v**2 + 73*v. Find j, given that x(j) = 0.
-2, -1, -2/7, 0
Let x(b) be the second derivative of -1/30*b**6 + 1/2*b**4 - 16/3*b**3 + 2*b + 12 - 16*b**2 + 1/4*b**5. Factor x(c).
-(c - 4)**2*(c + 1)*(c + 2)
Suppose 351 = 11*g + 681. Let n be g/135 + 280/693. Factor -n*u**2 + 20/11 - 6/11*u.
-2*(u - 2)*(u + 5)/11
Suppose -1 + 2 - 8 - 1058*o - 1225449*o**2 + 6 + 3272*o = 0. What is o?
1/1107
Suppose -3*c - 85 = 2*c. Let g be 11/4 + c/(-68). Factor n + g*n**2 - 7*n + 0 + 6 - 3*n.
3*(n - 2)*(n - 1)
Suppose -5*j - 110 = -0*j. Let s = 26 + j. Factor -2*u + 3 - 3 - s*u**2 + 6*u**2.
2*u*(u - 1)
Let k = -257850 - -2320826/9. Determine a so that -40/3*a**2 + k*a - 4/9*a**4 - 32/3 + 4*a**3 = 0.
2, 3
Let q = 33478 - 167389/5. Factor q*h**2 - 8/5 + 2/5*h.
(h - 2)*(h + 4)/5
Let i(o) be the second derivative of 0 + 20/3*o**3 + 1/12*o**4 + 200*o**2 + 11*o. Factor i(m).
(m + 20)**2
Let c(p) = 2*p**3 - 7*p**2 - 85*p + 254. Let k be c(7). Determine w, given that -2/11*w**4 - 8/11*w**k + 0*w + 0 + 8/11*w**3 = 0.
0, 2
Let h = -14183 - -14214. Let u(s) be the first derivative of 1/15*s**3 + 0*s - h - 1/5*s**2. Suppose u(q) = 0. Calculate q.
0, 2
Let q be 9/(-144) + -196*5/(-320). Let s(j) be the first derivative of -1/14*j**6 + 0*j + 0*j**2 + 25 + 6/35*j**5 - 3/28*j**4 + 0*j**q. Factor s(i).
-3*i**3*(i - 1)**2/7
Let a(r) = 16*r**2 - 11*r. Let o(z) = z**2 - 4*z - 28. Let v be o(7). Let m(f) = 9*f**2 - 6*f. Let k(p) = v*m(p) + 4*a(p). Factor k(l).
l*(l - 2)
Let a(y) be the third derivative of y**6/840 + y**5/210 - 121*y**4/168 - 121*y**3/21 - 2018*y**2. Find h, given that a(h) = 0.
-11, -2, 11
Factor -6/7*g**3 - 1/7*g**5 + g - 2/7*g**2 + 5/7*g**4 - 3/7.
-(g - 3)*(g - 1)**3*(g + 1)/7
Find w such that 138/5*w - 201/5*w**2 + 12*w**3 + 0 + 3/5*w**4 = 0.
-23, 0, 1, 2
Let p(i) be the second derivative of 1 + 22/27*i**3 + 16/9*i**2 - 54*i + 5/54*i**4 - 1/90*i**5. Factor p(j).
-2*(j - 8)*(j + 1)*(j + 2)/9
Let o(t) be the second derivative of t**5/20 + 44*t**4 + 15488*t**3 + 2725888*t**2 + 20*t + 3. Factor o(c).
(c + 176)**3
Suppose -2*a - f + 3 = -10, f - 17 = -3*a. Determine c so that 3*c**4 - 4*c**4 + 168 + 2*c**2 - 136*c - 5*c**4 + c**a + 3*c**4 + 16*c**3 = 0.
-3, 2, 7
Let n be ((-2)/6)/(-6 - 25025/(-4173)). Suppose -n = c - 110. Find g such that -3/2*g**4 + c*g**2 - 3/2 + 0*g + 0*g**3 = 0.
-1, 1
Let k be 24/(-10)*((-26125)/(-22))/19. Let t = -1048/7 - k. Factor -8/7*d + 8/7*d**2 - t*d**3 + 0.
-2*d*(d - 2)**2/7
Let o = -52868/105 - -3700/7. Let f = -122/5 + o. Factor f*v**4 - 1/3*v**5 + 0 - 2/3*v**2 + 0*v**3 + 1/3*v.
-v*(v - 1)**3*(v + 1)/3
Determine u so that -8/5*u + 1/5*u**4 + 0 - 6/5*u**2 + 3/5*u**3 = 0.
-4, -1, 0, 2
Suppose 2628*v**2 + 2369*v**3 + 384*v - 653*v**3 - 542*v**3 - 390*v**4 - 768 + 27*v**5 - 115*v**3 = 0. What is v?
-1, 4/9, 8
Suppose 31/7*q**2 + 0 - 1/7*q**5 + 9/7*q**4 - 12/7*q - 27/7*q**3 = 0. Calculate q.
0, 1, 3, 4
Let n(a) be the second derivative of 3*a**5/20 + 28*a**4 - 115*a**3/2 - 339*a**2 + 90*a + 4. Factor n(f).
3*(f - 2)*(f + 1)*(f + 113)
Let v(j) = -6*j**3 + 273*j**2 + 1545*j + 2679. Let l(s) = 5*s**3 - 205*s**2 - 1159*s - 2009. Let b(a) = 9*l(a) + 7*v(a). Factor b(f).
3*(f + 4)**2*(f + 14)
Let u be (2/(-16))/(-21 - -22) - 34/(-16). What is h in -16/3*h + 0 - 8*h**u - 1/3*h**4 - 3*h**3 = 0?
-4, -1, 0
Suppose -2*z - 1/4*z**3 - 7/4*z**2 + 4 = 0. What is z?
-4, 1
Let p(s) be the second derivative of -s**7/450 - 13*s**6/180 - 3*s**5/25 - 9*s**4/2 + s**2 - 45*s. Let v(k) be the third derivative of p(k). Factor v(l).
-4*(l + 9)*(7*l + 2)/5
Let i = -360 - -363. Suppose -64*a**2 - 50*a**2 + i*a**3 - 55*a**2 + 201*a**2 + 75 + 45*a - 59*a**2 = 0. What is a?
-1, 5
Let h(g) = -2*g**2 - 25*g + 216. Let j be h(16). Let v = j + 700. What is b in -16/7*b**2 + 0*b + 0 - 4/7*b**v + 20/7*b**3 = 0?
0, 1, 4
Let q(k) = -2*k - 2. Let u be q(0). Let b(a) = -a**3 + a**2 + a + 1. Let o(l) = 109*l**3 + 143*l**2 + 53*l - 3. Let f(i) = u*o(i) - 22*b(i). Factor f(g).
-4*(g + 1)*(7*g + 2)**2
Let w(m) be the first derivative of 70*m**3 - 37*m**2 - 4*m - 9372. Determine n so that w(n) = 0.
-1/21, 2/5
Let y(h) be the third derivative of 0 + 0*h**3 + 1/5*h**5 - 4*h + 6*h**2 - 2/3*h**4 + 1/30*h**6. Factor y(p).
4*p*(p - 1)*(p + 4)
Let d(r) be the second derivative of 11*r**7/63 - 53*r**6/45 + 13*r**5/5 - 14*r**4/9 - 8*r**3/9 + 7973*r. Let d(c) = 0. What is c?
-2/11, 0, 1, 2
Let x(k) be the first derivative of 10*k**2 + 3/5*k**5 + 29 + 29/3*k**3 + 4*k + 4*k**4. Suppose x(i) = 0. Calculate i.
-2, -1, -1/3
Let j(o) be the first derivative of -o**5 - 15*o**4/2 + 15*o**3 + 35*o**2 + 1254. Find i, given that j(i) = 0.
-7, -1, 0, 2
Let g = -1229 + 1234. Let k(b) be the second derivative of 0 + 0*b**2 - 1/60*b**6 + 1/24*b**4 - 17*b + 1/40*b**g - 1/12*b**3. Solve k(s) = 0 for s.
-1, 0, 1
Let c(s) be the third derivative of s**8/224 + 11*s**7/280 + s**6/40 - s**5/16 - 2*s**2 + 661*s. Suppose c(h) = 0. Calculate h.
-5, -1, 0, 1/2
Suppose -142*m + 56*m + 0 = -0. Let a(j) be the first derivative of 1/10*j**4 + 0*j**2 + 37 + 1/15*j**3 + 1/25*j**5 + m*j. Factor a(i).
i**2*(i + 1)**2/5
Factor -510044/5*l**2 + 1014048/5*l - 2/5*l**4 - 506018/5 + 2016/5*l**3.
-2*(l - 503)**2*(l - 1)**2/5
Let x(f) = 3*f + 1630. Let s be x(0). Determine z, given that -1 - s*z**2 + 20*z + 1621*z**2 + z**3 - 11 = 0.
1, 2, 6
Let k(c) = -c**3 - 40*c**2 - 2*c - 77. Let j be k(-40). Factor -b**5 - 4*b + 32*b**2 - 55*b**3 + j*b**4 + 60*b**3 - 35*b**2.
-b*(b - 4)*(b - 1)*(b + 1)**2
Let k = 8197/2 - 4098. Let i(n) be the first derivative of -8/7*n + 38/21*n**3 - 18 - k*n**4 - 8/7*n**2. Factor i(c).
-2*(c - 2)*(c - 1)*(7*c + 2)/7
Let z(j) be the first derivative of -j**6/2 - 6*j**5/5 + 3*j**4/4 + 2*j**3 + 715. Determine s, given that z(s) = 0.
-2, -1, 0, 1
Let s(y) be the first derivative of -2*y**4 - 29*y**3/3 + 37*y + 53. Let l(h) = 4*h**3 + 15*h**2 - 19. Let q(f) = -5*l(f) - 3*s(f). Solve q(z) = 0 for z.
-2, 1
Factor 1/4*q**2 + 8922169/4 - 2987/2*q.
(q - 2987)**2/4
Suppose d = -3*s + 2*d - 16, -s - 3*d = 22. Let j be s + 14 + ((-2)/(-3) - 3). Determine t, given that -2/3 - 10/3*t**3 - j*t - 22/3*t**2 = 0.
-1, -1/5
Let y(h) be the first derivative of -2/3*h**3 + 42*h**2 - 22 - 882*h. Determine u, given that y(u) = 0.
21
Suppose 35*l - 45 + 2*l**3 + 275*l**2 - 88*l + 3*l - 89*l - 93 = 0. Calculate l.
-138, -1/2, 1
Let g(j) = -j**3 - 9*j**2 + 8*j. Let h be g(-10). Factor 3*k**4 + 30*k**2 + k + 5*k + h*k**3 - 8*k**3 - 15*k**2.
3*k*(k + 1)**2*(k + 2)
Factor -3*p**3 + 23