305*c**2 - c + 2. Factor k(l).
2*(l + 1)*(l + 918)/11
Suppose -118/7 + 2/7*d**2 + 116/7*d = 0. Calculate d.
-59, 1
Let x(r) be the first derivative of 3/20*r**5 - 1/4*r**3 + 3/16*r**4 + 136 + 0*r**2 + 0*r - 1/8*r**6. Determine f, given that x(f) = 0.
-1, 0, 1
Suppose -3198*f**5 - 74*f**2 + 10*f**2 - 48*f**3 + 3202*f**5 = 0. What is f?
-2, 0, 4
Let q(j) be the second derivative of -j**5/20 + 55*j**4/6 - 931*j**3/2 - 6498*j**2 - 1149*j. Determine h so that q(h) = 0.
-4, 57
Let k(x) = -6*x**2 + 36*x - 23. Suppose 13 = -20*q + 113. Let o(m) = 5*m**2 - 31*m + 22. Let z(g) = q*o(g) + 4*k(g). Let z(r) = 0. What is r?
2, 9
Let b be (-22)/4 + 4 + (-36115)/(-20970). Let 160/9*a + b*a**3 - 200/9 + 38/9*a**2 = 0. Calculate a.
-10, 1
Let d(k) = -k**3 - 103*k**2 - 675*k + 1. Let j be d(-96). Solve 17*h + j + 1/4*h**2 = 0.
-34
Suppose 5*o - 2*s + 615 = 0, 5*o + 615 = -3*s - s. Let k = -83 - o. Factor -k*c**2 + c**3 - 4*c + 40*c**2 + 3*c**3.
4*c*(c - 1)*(c + 1)
Let v(p) be the third derivative of -p**5/80 + 277*p**4/32 - 275*p**3/4 + 2290*p**2. Find z, given that v(z) = 0.
2, 275
Solve 25/2*i + 0 + 1/2*i**3 + 13*i**2 = 0 for i.
-25, -1, 0
Let h(q) = -72*q**2 + 238*q + 35. Let d(k) = -38*k**2 + 123*k + 17. Let t(l) = 5*d(l) - 3*h(l). Solve t(a) = 0.
-5/26, 4
Let u = 4505 + -31487/7. Factor 288/7 + 2/7*l**2 + u*l.
2*(l + 12)**2/7
Let f(j) = -2*j**2 - 2. Let z be (-6)/(-9)*-12 + 2. Let u(v) = -11*v**2 - v - 24. Let r(y) = z*f(y) + u(y). Suppose r(l) = 0. What is l?
-3, 4
Let i(w) = -553*w + 17696. Let l be i(32). Factor 3/4*s**5 + l*s + 0*s**2 - 3/2*s**3 - 3/4*s**4 + 0.
3*s**3*(s - 2)*(s + 1)/4
Let s = 437 - 435. Let w be ((-54)/(-63))/2 - 0. Suppose -w*r**3 + 24/7*r**s - 39/7*r + 18/7 = 0. Calculate r.
1, 6
Let i(m) be the second derivative of 0 - 10*m + 3/7*m**4 + 32/7*m**3 + 1/70*m**5 + 128/7*m**2. Find x, given that i(x) = 0.
-8, -2
Let v be (-100)/112 - ((-8)/6 - 1/(-3)). Let r(i) be the first derivative of -v*i**4 + 6/7*i + 0*i**3 - 6 + 9/14*i**2. Let r(s) = 0. Calculate s.
-1, 2
Let r(x) = x**3 - 30*x**2 - 2276*x + 14. Let q be r(-35). Factor 1/2*j**4 + 8*j**3 + 0 + 77/2*j**2 + q*j.
j*(j + 2)*(j + 7)**2/2
Let x(m) be the first derivative of 5*m**6/6 + 5*m**5 + 45*m**4/4 + 35*m**3/3 + 5*m**2 + 1044. Solve x(c) = 0 for c.
-2, -1, 0
Let c(t) be the first derivative of -2/3*t**3 - 6*t**2 - 16*t - 79. Factor c(g).
-2*(g + 2)*(g + 4)
Let u(r) be the third derivative of -r**5/30 - 625*r**4/12 - 208*r**3 - 773*r**2. Factor u(h).
-2*(h + 1)*(h + 624)
Let y(l) = -l**3 + 233*l**2 + 7303*l - 137. Let j be y(-28). Factor 27/2 + 21/2*x**2 - 45/2*x - 3/2*x**j.
-3*(x - 3)**2*(x - 1)/2
Let n(i) be the third derivative of 1/510*i**5 - 1/1785*i**7 - 11 + 1/1020*i**6 + 0*i**3 - 2*i**2 - 1/204*i**4 + 0*i. Factor n(t).
-2*t*(t - 1)**2*(t + 1)/17
Suppose 2*l + 16*h - 19*h = l + 6, 8 = -4*h. Solve -9/7*i**2 + l - 3/7*i = 0 for i.
-1/3, 0
Suppose 3*a + l - 12 = 0, 7*l = 2*l + 15. Find j, given that -158 + j**a + 20*j**2 + 158 = 0.
-20, 0
Let i = 9395/26774 - -31/2434. Let -i + 6/11*d - 2/11*d**2 = 0. What is d?
1, 2
Let d(v) = 4*v**3 + 19 + 8 - 8 + 15*v - 12*v**3 + 8*v**2. Let z(l) = -3*l**3 + 4*l**2 + 7*l + 8. Let y(r) = -2*d(r) + 5*z(r). Factor y(b).
(b + 1)**2*(b + 2)
Factor -44402000/3 + 29800/3*k - 5/3*k**2.
-5*(k - 2980)**2/3
Let v(o) = o**3 + 29*o**2 - 30*o - 1. Let g be v(-30). Let x be 518/98 + (-4 - g). Solve 0*j + 12/7*j**3 + 0 - x*j**4 + 4/7*j**2 = 0 for j.
-1/4, 0, 1
Let u(i) = 8*i**2 - 9*i - 53. Let p be u(10). Suppose 15*k**3 - 3*k**3 + 655*k**5 - p*k**5 + 72*k**2 - 8*k**4 + 54*k = 0. What is k?
-3, -1, 0, 3
Let m(k) be the first derivative of -k**5 - 15*k**4 + 165*k**3 - 405*k**2 + 152. Find c, given that m(c) = 0.
-18, 0, 3
Let u(o) be the second derivative of o**5/30 + 15*o**4/2 - 136*o**3/9 + 7027*o. Determine k so that u(k) = 0.
-136, 0, 1
Let v be 13/(-966)*(-567 + 10) + -7. Let o = v - -2/483. Factor 7/2*j - o*j**2 - 3.
-(j - 6)*(j - 1)/2
Let y be (-40)/(-126) - 4/72*12/(-6). Let i(b) be the first derivative of 1/7*b**3 + 3/7*b**2 + y*b + 35. Factor i(u).
3*(u + 1)**2/7
Let r(s) = -20*s**2 + 18*s + 29. Let g(d) = d**3 - 3*d**2 + 3*d - 18. Let a be g(3). Let z(p) = 9*p**2 - 10*p - 15. Let f(m) = a*z(m) - 4*r(m). Factor f(q).
-(q - 19)*(q + 1)
Suppose -3*j - 2*j + 70 = 0. Let v = -1521 + 1531. Factor -33*g**4 + 3*g**5 + v*g**4 + j*g**4 + 6*g**3.
3*g**3*(g - 2)*(g - 1)
Let d be -43*(-1)/9 + -3 + 402/1809. Find m, given that 20/9*m**d + 0 + 7/9*m - 31/9*m**3 + 4/9*m**4 = 0.
-1/4, 0, 1, 7
Let t = 6/227 + 155/2724. Let x(s) be the third derivative of 0 + 15*s**2 + 0*s**3 + 0*s + 1/24*s**6 + t*s**5 + 0*s**4. Let x(h) = 0. What is h?
-1, 0
Let o(b) = -b**2 + 14*b + 15. Let d be o(21). Let p = 134 + d. Factor -35*w**p + 2576*w**3 + 8*w - 2572*w**3 + 15*w + 8.
(w - 8)*(w - 1)*(4*w + 1)
Let c = -32124 + 4593839/143. Let f = c - -21/13. Factor 26/11*l**2 - f*l - 8/11 + 8/11*l**3.
2*(l - 1)*(l + 4)*(4*l + 1)/11
Let v be 14 - (7 - 22/44). Find r such that v*r + 9 + 3/2*r**2 = 0.
-3, -2
Let d be (-45 + 53)*(-3)/(-6). Let t(i) be the second derivative of 3*i + 6/11*i**3 - 8/11*i**2 + 5/66*i**d + 0. What is m in t(m) = 0?
-4, 2/5
Let x = 1406711/140 + -10048. Let n = x + 13/28. Factor -6/5*b**2 + 8/5 + 0*b - n*b**3.
-2*(b - 1)*(b + 2)**2/5
Let z(u) be the second derivative of u**5/140 - 13*u**4/12 + 44*u**3/7 + 987*u - 3. Factor z(l).
l*(l - 88)*(l - 3)/7
Let o be (-12)/15*((-44)/(-33))/(-1). Let f(c) be the first derivative of 4/3*c**2 + 7 + 7/30*c**4 + o*c + 4/5*c**3 + 2/75*c**5. Let f(m) = 0. Calculate m.
-2, -1
Let r = -232 - -32. Let f = 204 + r. Factor 32/5*a**2 + 24/5*a + 4/5*a**f - 24/5*a**3 - 36/5.
4*(a - 3)**2*(a - 1)*(a + 1)/5
Let g(z) be the first derivative of 14*z + 8*z**2 + 2/3*z**3 - 59. Let g(p) = 0. What is p?
-7, -1
Let w(l) be the third derivative of -l**5/120 - 719*l**4/24 - 516961*l**3/12 + 2400*l**2. Factor w(q).
-(q + 719)**2/2
Let c(s) be the second derivative of s**5/140 - 143*s**4/84 + 2204*s**3/21 + 25992*s**2/7 - 13*s - 17. Factor c(g).
(g - 76)**2*(g + 9)/7
Factor 1281*d**3 + 1285*d**3 + 1289*d**3 - 5141*d**3 - 396*d - 204*d**2 + 1283*d**3.
-3*d*(d + 2)*(d + 66)
Factor -31/8*v + 3/4 - 17*v**2 + 161/8*v**3.
(v - 1)*(7*v + 2)*(23*v - 3)/8
Let f(i) be the second derivative of -i**4/9 + 112*i**3/9 - 1568*i**2/3 + i - 227. Factor f(b).
-4*(b - 28)**2/3
Let g(f) = -2*f**2 + 10*f. Let n(b) = 7*b**2 + 18480*b - 17186580. Let q(i) = -6*g(i) - n(i). Let q(h) = 0. What is h?
1854
Let p(n) be the second derivative of n**4/3 + 403*n**3/6 - 101*n**2/2 - 61*n. Find l, given that p(l) = 0.
-101, 1/4
Let b(v) = v + 1. Let r(w) = w**2 + 15*w + 24. Let s(i) = -4*b(i) + r(i). Let c be s(-9). Find l such that 0 + 1/2*l**c - 1/2*l = 0.
0, 1
Let z(q) = -28*q**3 + 6*q**2 + 24*q - 13. Let j(l) = -3*l**2 + 883*l + 4 + 10*l**3 - 891*l + l**2. Let p(f) = -11*j(f) - 4*z(f). Factor p(b).
2*(b - 2)*(b - 1)*(b + 2)
Let n(c) be the second derivative of c**5/12 + 175*c**4/18 + 6125*c**3/18 - 498*c. Factor n(f).
5*f*(f + 35)**2/3
Let y be ((-15)/(-10))/(55/44*1*3). Determine w, given that 0 + 4/5*w + 6/5*w**2 + y*w**3 = 0.
-2, -1, 0
What is f in 56*f**5 - 769*f - 54*f**5 - 2*f**4 - 457*f**3 + 291*f**2 - 931*f**2 + 301*f**3 + 65*f = 0?
-4, -2, 0, 11
Let p(h) be the first derivative of -h**3/3 + 494*h**2 - 244036*h + 1310. Factor p(q).
-(q - 494)**2
Let u = -28 + 37. Suppose g + 2*n + 4 = 0, -5*g - 5 + u = 2*n. Factor -m**2 - 2*m**3 + 5 + 6 + 11*m**g - 14*m - 5.
-2*(m - 3)*(m - 1)**2
Let b(q) be the first derivative of 0*q**2 + 8/25*q**5 + 1/2*q**4 + 4/15*q**3 + 1/15*q**6 + 163 + 0*q. What is g in b(g) = 0?
-2, -1, 0
Let l(d) = -d**3 + 10*d**2 + 38*d - 14. Let t be l(13). Let n be ((-14)/(-4) + 1)*(-6)/t. Factor 5/4*k + n + 1/4*k**2.
(k + 1)*(k + 4)/4
What is z in -20/9*z**2 - 140/9*z**3 + 4/3*z + 100/9*z**4 + 16/3*z**5 + 0 = 0?
-3, -1/3, 0, 1/4, 1
Let r(d) = -d**3 + 69*d + 133. Let x be r(-2). Let m(n) be the third derivative of -1/80*n**5 + 1/2*n**x + 0*n - 18*n**2 + 0*n**4 + 0. Factor m(w).
-3*(w - 2)*(w + 2)/4
Let f be (-4)/(-26) - (8544/156)/(-8). Factor -11*s**5 + f*s**5 - 12*s + 8 + 7*s**3 + 3*s**5 + 0*s**2 - 2*s**2.
-(s - 2)*(s - 1)**2*(s + 2)**2
Solve 668/3*h + 0 + 2/3*h**2 = 0 for h.
-334, 0
Suppose -3 = q - 5. Find y such that -15*y**3 - 117*y**3 - 184*y**q - 34*y**