- 4008003/2*j.
-(j + 1)*(j + 2001)**2/2
Let h(p) = -p**2 + 10*p + 1. Let x be h(0). Factor -18*l**2 - 1 + 4*l**2 + x + 7*l**2 - l**3.
-l**2*(l + 7)
Let k(n) be the second derivative of -n**5/40 - 139*n**4/24 - 950*n**3/3 + 18772*n**2 + 2261*n. What is b in k(b) = 0?
-76, 13
Let b = -626237/4 + 11898511/76. Suppose 66/19 - b*q**2 + 64/19*q = 0. What is q?
-1, 33
Suppose -5/4*z**3 + 8 + 8*z + 1/4*z**4 - 3/2*z**2 = 0. Calculate z.
-2, -1, 4
Let t = -29 + 40. Suppose -173 = t*h - 536. Let -3*o - h*o**2 + 4*o + 6*o - o = 0. Calculate o.
0, 2/11
Let v(m) be the first derivative of -21/4*m**4 + 18*m - 162 - 16*m**3 + 51/2*m**2. Find l, given that v(l) = 0.
-3, -2/7, 1
Let g(m) be the first derivative of -m**4/20 + 4*m**3 - 837*m**2/10 - 1922*m/5 - 2380. Let g(d) = 0. Calculate d.
-2, 31
Let g(y) be the third derivative of 49*y**6/720 + 7*y**5/80 + 3*y**4/64 + 13*y**3/6 - 31*y**2. Let a(f) be the first derivative of g(f). Factor a(t).
(14*t + 3)**2/8
Factor -5/2*y - 92/3 + 1/6*y**2.
(y - 23)*(y + 8)/6
Let v(d) = 8*d - 5. Let s(a) = -a. Let m(y) = -6*s(y) - v(y). Let n be m(0). Suppose -30 + 5*t**2 - n*t + 28*t + 2*t = 0. What is t?
-6, 1
Let g(a) be the third derivative of 0*a**3 - 1/315*a**7 + 0 - 111*a**2 - 1/504*a**8 + 1/18*a**5 + 1/60*a**6 + 0*a + 1/18*a**4. Factor g(c).
-2*c*(c - 2)*(c + 1)**3/3
Let q(r) = r**2 + 48*r - 415. Let d be q(-55). Let k be -3 + (-190)/d - 3. Factor k*b**2 + 1/9*b**3 + 2/9*b + 0.
b*(b + 1)*(b + 2)/9
Determine l so that 254092071 + 193205015 + 2*l**3 - 885*l**2 + 1853975*l + 398958*l + 4527*l**2 - 42239*l = 0.
-607
Let g(j) be the third derivative of -6125*j**5/132 - 175*j**4/66 - 2*j**3/33 + 3*j**2 - 39. Factor g(q).
-(175*q + 2)**2/11
Let i(v) be the third derivative of v**6/540 + v**5/9 + 4*v**4/3 + 3033*v**2. Factor i(j).
2*j*(j + 6)*(j + 24)/9
Let q be (8/(-14))/(12/126*-1). Suppose 22*s**5 + 250*s**2 - 56*s**4 + 304 + 92*s**2 + 560 + 1296*s - q*s**5 - 212*s**3 = 0. What is s?
-3/2, 4
Suppose 2*a = 0, 5*a - 289 = -5*t + 201. Solve -t*u**2 + 98*u**5 + 546*u**4 - 180*u**2 - 40 - 288*u + 190*u**3 - 33*u**2 - 195*u**2 = 0.
-5, -1, -2/7, 1
Let b(a) be the first derivative of a**4/36 + 55*a**3/9 + 3025*a**2/6 - 151*a - 96. Let s(r) be the first derivative of b(r). Determine z so that s(z) = 0.
-55
Suppose -7980 = 11*g - 23*g. Factor 185*y + g*y + 120*y**2 - 3*y**3 - 130*y + 8*y**3.
5*y*(y + 12)**2
Let h be (-74871)/2773 + 345/11. Solve -4/11*x**2 + 2/11*x**3 - 40/11*x - h = 0.
-2, 6
Let d(l) = -54*l**2 - 16*l - 24. Let j(b) = -80*b**2 - 17*b - 24. Let u(g) = -3*d(g) + 2*j(g). Factor u(r).
2*(r + 3)*(r + 4)
Let v(c) be the second derivative of -c**5/12 + 15*c**3/2 + 19*c**2 + 65*c. Let b(s) be the first derivative of v(s). Solve b(r) = 0 for r.
-3, 3
Let j(d) be the first derivative of -d**5/80 + 35*d**4/24 - 1225*d**3/24 + 74*d + 77. Let l(b) be the first derivative of j(b). Factor l(y).
-y*(y - 35)**2/4
Let v(p) be the first derivative of 18*p - 148 + 3/4*p**4 - 39/2*p**2 + 7*p**3 - 3/5*p**5. What is s in v(s) = 0?
-3, 1, 2
Let b(o) be the first derivative of -2/45*o**5 + 0*o + 4/9*o**2 + 8/27*o**3 - 1/18*o**4 + 105. Factor b(s).
-2*s*(s - 2)*(s + 1)*(s + 2)/9
Let u = 206 + -209. Let i be (-13 + 13)*(-4 - u). Factor -2/9*h**2 - 4/9*h + i.
-2*h*(h + 2)/9
Let k(l) = -l**3 + 8*l**2 - 4*l - 28. Let h be k(7). Let o be (-54)/(-55) + h/(924/24). Factor 4/5 + o*a**3 - 2/5*a**5 + 14/5*a + 16/5*a**2 - 4/5*a**4.
-2*(a - 2)*(a + 1)**4/5
Let g(d) be the second derivative of -1/70*d**5 - 5/21*d**4 + 0 + 10*d - 9/7*d**3 - 18/7*d**2. Factor g(i).
-2*(i + 1)*(i + 3)*(i + 6)/7
Let x = 496781/2 - 248389. What is o in x*o**2 - 15/2*o - 9 = 0?
-1, 6
Let c(j) = -5*j**3 + 6*j**2 + 14*j + 10. Let i = -103 - -98. Let f be c(i). Factor -5*v**2 - f + 720 + 5*v - 2*v**3 - 3*v**3.
-5*(v - 1)*(v + 1)**2
Let k(d) = -4*d**2 - 3342*d - 16608. Let v be k(-5). Factor 20/3*g - 2/3*g**v + 22/3.
-2*(g - 11)*(g + 1)/3
Let v be 8/10*-1*(-377)/1131. Let m(y) be the first derivative of -1/10*y**4 + 0*y**2 + 0*y - 6 + v*y**3. Find j, given that m(j) = 0.
0, 2
Let q be 2534/(-35) + (202 - 129). Factor 0 + q*n**3 - 33/5*n**2 + 6*n.
3*n*(n - 10)*(n - 1)/5
Let c(f) be the second derivative of 2*f**6/15 - 2984*f**5/5 + 2226064*f**4/3 - 368*f + 6. Factor c(b).
4*b**2*(b - 1492)**2
Let h be 13 - (7 + -3) - (-3 + 10). Let f(n) be the first derivative of n**h - 2 - 1/2*n**4 - 2/3*n**3 + 2*n. What is y in f(y) = 0?
-1, 1
Let g(s) be the second derivative of -s**6/90 - 82*s**5/5 - 60022*s**4/9 + 162032*s**3/3 - 488072*s**2/3 + 12443*s. Let g(w) = 0. Calculate w.
-494, 2
Let o(w) be the first derivative of -18*w + 4/9*w**4 + 1/15*w**5 - 2/9*w**3 - 11 - 8/3*w**2. Let z(r) be the first derivative of o(r). Factor z(h).
4*(h - 1)*(h + 1)*(h + 4)/3
Suppose -6985*m + 854 = -6558*m. Factor 5/4*o**2 + m*o + 1 + 1/4*o**3.
(o + 1)*(o + 2)**2/4
Let v(g) be the first derivative of -2*g**3/57 + 693*g**2/19 - 1384*g/19 - 117. Find s, given that v(s) = 0.
1, 692
Let z(i) be the second derivative of -9/8*i**2 + 0 - 1/48*i**4 - 5/12*i**3 + 11*i. Determine y, given that z(y) = 0.
-9, -1
Let f(v) be the second derivative of 9*v**4/4 + 29*v**3/2 + 9*v**2 + 433*v. Factor f(h).
3*(h + 3)*(9*h + 2)
Let o(d) = -d**3 + d. Let t(n) = 12*n**3 + 10*n**2 + 150*n - 352. Let y(g) = -28*o(g) - 2*t(g). Factor y(u).
4*(u - 11)*(u - 2)*(u + 8)
Suppose -37*v = -1057 - 904. Suppose 24 = 61*j - v*j. Factor 7/4*l**4 + 13/2*l**j + 0 - 3/2*l + 13/4*l**2.
l*(l + 1)*(l + 3)*(7*l - 2)/4
What is w in 382/7*w + 166*w**3 - 2/7 + 1158/7*w**2 + 388/7*w**4 = 0?
-1, 1/194
Let p(m) = m**3 + m + 1. Let o(g) = g**2 + g + 1. Suppose 3*d + 7*k - 17 = 3*k, -d + 2*k - 11 = 0. Let a(t) = d*p(t) + o(t). Factor a(f).
-f**2*(f - 1)
Let o(b) = 1097*b**3 - 953*b**2 - 128*b - 8. Let s(f) = -2192*f**3 + 1907*f**2 + 256*f + 15. Let h = 373 - 369. Let k(p) = h*s(p) + 7*o(p). Factor k(d).
-(d - 1)*(33*d + 2)**2
Let t(a) = 3*a**2 - 4*a - 2. Let r = 625 - 615. Let s(d) = 2*d**2 - 2*d - 1. Let p(q) = r*s(q) - 6*t(q). Factor p(z).
2*(z + 1)**2
Let y be 3 - (-2*(-125)/4)/((-3)/6). Let c(z) be the first derivative of y*z**5 + 50*z**6 + 24 - 120*z**2 - 32*z - 536/3*z**3 - 33*z**4. Solve c(s) = 0 for s.
-2, -2/5, -1/3, 1
Let f(b) be the third derivative of -73*b**2 + 1/140*b**5 + 0 + 0*b + 338/7*b**3 - 13/14*b**4. Factor f(d).
3*(d - 26)**2/7
Let h = 3039/65 + -561/13. Let t(c) be the second derivative of 28*c - h*c**5 - 13/3*c**4 + 2/3*c**6 + 16*c**2 + 12*c**3 + 0. Find y such that t(y) = 0.
-1, -2/5, 1, 4
Let y be -21 + 2794/66 - 20. Let t(w) be the first derivative of -4/3*w + 24 + y*w**2 + 1/15*w**5 - 1/6*w**4 - 1/3*w**3. Factor t(s).
(s - 2)*(s - 1)**2*(s + 2)/3
Let h(r) be the third derivative of -r**6/72 - r**5/6 + 65*r**4/8 - 75*r**3 - 1834*r**2 - 4*r. Factor h(u).
-5*(u - 6)*(u - 3)*(u + 15)/3
Let j(z) be the third derivative of z**5/300 + 197*z**4/10 - 473*z**3/6 - 3*z**2 - 74*z + 2. Factor j(c).
(c - 1)*(c + 2365)/5
Suppose 20/11*d**2 - 2/11*d**3 + 74/11*d + 52/11 = 0. What is d?
-2, -1, 13
Let p be 0 - (-1)/(-2)*-3*(-116)/(-522). Let f(a) be the second derivative of 10*a**2 - 21*a - 8/3*a**3 + 0 - p*a**4. Solve f(j) = 0.
-5, 1
Let s be (7 - (5 - -1))*-1. Let h(t) = 15*t**3 - 54*t**2 + 45*t + 39. Let q(a) = -a**2 - a - 1. Let g(w) = s*h(w) - 15*q(w). Suppose g(j) = 0. Calculate j.
-2/5, 1, 4
Let n be -29 + (-4)/((-60)/435). Let 69/4*l**3 + n - 51/4*l**2 + 3*l - 15/2*l**4 = 0. What is l?
0, 1/2, 4/5, 1
Let p(y) = -3*y**2 + 45*y + 2. Let u be p(15). Factor -43*t**3 - 75*t**3 + 12*t - 2 - 40*t**3 - 42*t**3 + 30*t**u.
-2*(4*t + 1)*(5*t - 1)**2
Suppose 16*a + 5840 = 5888. Let l(y) be the second derivative of 0*y**a + 1/30*y**5 + 0 - 1/6*y**4 + y + 0*y**2. Factor l(k).
2*k**2*(k - 3)/3
Determine v, given that 3/5*v**5 + 24/5*v**4 + 0 + 0*v - 228/5*v**3 + 336/5*v**2 = 0.
-14, 0, 2, 4
Let b(k) be the third derivative of -k**5/60 + 319*k**4/8 - 955*k**3/3 - 2301*k**2. Let b(c) = 0. What is c?
2, 955
Let u(w) be the second derivative of -23*w - 405*w**3 - 729*w**2 - 25/2*w**5 - 225/2*w**4 + 0. Find r such that u(r) = 0.
-9/5
Let x(s) = s**3 - s**2 - 7*s + 6. Let z be x(-5). Let k = z - -180. Factor -k*p**2 + 31*p**2 + 36*p**2 - 16*p.
-4*p*(p + 4)
Let p = -44 - -48. Suppose 10 = p*g + 2. Factor 4*r + r**3 + 2*r**3 - 5*r**3 - 2*r**g.
-2*r*(r - 1