g**7 - 8/45*g**5 - 56*g + 1/15*g**6 + 1/6*g**4 + 0 - 1/252*g**8 - g**2. Determine v so that l(v) = 0.
-3, 0, 1
Factor -1/2*b**3 + 0 + 3*b**2 + 27/2*b.
-b*(b - 9)*(b + 3)/2
Let t = 280 - 1397/5. Suppose -59 = 11*n - 92. Let 2/5*s**2 + t*s**n + 0 + 0*s + 1/5*s**4 = 0. What is s?
-2, -1, 0
Let w(q) be the third derivative of 0*q**3 - 37/90*q**5 + 2*q**2 + 80*q + 7/18*q**4 + 1/45*q**7 - 11/45*q**6 + 0. Determine f, given that w(f) = 0.
-1, 0, 2/7, 7
Let h = 594126/7 - 84874. Factor -4/7*y**3 - 16/7 - h*y**2 + 4*y.
-4*(y - 1)**2*(y + 4)/7
Let u(z) be the second derivative of -108 - 1/315*z**7 - 13/225*z**6 - 2/5*z**4 + 0*z**3 + 0*z**2 + 2*z - 8/25*z**5. Factor u(i).
-2*i**2*(i + 1)*(i + 6)**2/15
Let f(i) be the first derivative of i**4 + 56*i**3/3 - 784*i**2 + 3747. Suppose f(m) = 0. Calculate m.
-28, 0, 14
Let j(b) be the first derivative of -5/4*b**2 - 5/6*b**3 + 5/2*b - 56 + 5/8*b**4. Factor j(q).
5*(q - 1)**2*(q + 1)/2
Let l be (-70896)/(-159936) + (-4)/272. Suppose 0 + l*x**4 + 9/7*x**3 + 0*x + 6/7*x**2 = 0. Calculate x.
-2, -1, 0
Let q(f) be the first derivative of 3*f**3 - 174*f**2 - 117*f - 892. Suppose q(y) = 0. Calculate y.
-1/3, 39
Let g = 13 - 11. Factor 40*j**3 - 115 + 7*j + 4*j + 4*j - 5*j**4 + 5*j + 165*j**g - 105.
-5*(j - 11)*(j - 1)*(j + 2)**2
Let o(p) = 10*p**2 - 2*p - 24. Let n(a) = -a**3 - 39*a**2 + 6*a + 98. Let c(d) = -2*n(d) - 9*o(d). Factor c(q).
2*(q - 5)*(q - 2)*(q + 1)
Let w = 2 + -6. Let q(s) = 10122*s**3 + 3 - 5058*s**3 + 5*s**2 - 5063*s**3 - 5*s. Let f(b) = b**2 - b + 1. Let p(x) = w*f(x) + q(x). Factor p(u).
(u - 1)*(u + 1)**2
Let i be 2/(-8) + (-26)/(-8). Let f = 15046/11 - 120335/88. Factor -3*h - f*h**i - 15/8*h**2 - 3/2.
-3*(h + 1)*(h + 2)**2/8
Suppose -4*k + 30 = s - 18, k = -3*s + 166. Factor 179*z - 115*z**2 + 3*z**3 - 37*z**2 - 88 + 113*z - s + z**3.
4*(z - 36)*(z - 1)**2
Let h(l) be the second derivative of -19*l + 0 + 0*l**2 - 3/10*l**5 - 1/63*l**7 + 0*l**3 + 2/9*l**4 + 2/15*l**6. Factor h(y).
-2*y**2*(y - 4)*(y - 1)**2/3
Let w = -266 - -267. Let s be w*1*(-12)/(-24). Determine c so that -1/4 + 3/4*c - s*c**2 = 0.
1/2, 1
Suppose 645*t**3 + 636 + 1960*t + 3*t**4 - 49*t + 2555*t**2 - 512*t**2 - 126*t**2 = 0. Calculate t.
-212, -1
Let p be 2*2/(-4) - -6. Let u = 1675 - 1667. Factor x**4 + 4*x + u*x**2 + p*x**3 + 1157 - 1157.
x*(x + 1)*(x + 2)**2
Let r(t) = -t + 9. Let d be r(4). Suppose 4*s = -d*v + 18, -v + 8*s = 5*s + 4. Find x such that -92*x**v + 86*x - 29*x**3 - 106*x - 19*x**3 = 0.
-5/3, -1/4, 0
Let g(f) be the first derivative of -f**4/16 - 67*f**3/12 - 33*f**2/4 + 9155. Factor g(k).
-k*(k + 1)*(k + 66)/4
Let x be (580/90 - 6) + (-23146)/(-18). Let c = -1283 + x. Find u such that 8/3*u**3 - c*u + 4/3 + 4/3*u**2 + 2/3*u**5 - 8/3*u**4 = 0.
-1, 1, 2
Let d = 590725/3 - 196899. Let -32/9 + 88/9*u - d*u**2 + 32/9*u**3 - 4/9*u**4 = 0. Calculate u.
1, 2, 4
Find l such that 2/9*l**2 + 3656/9*l + 1670792/9 = 0.
-914
Let g be (-7)/(-49*(42/(-14) - -4)). Factor 481/7*n**2 + 120*n + g*n**4 + 6*n**3 + 400/7.
(n + 1)**2*(n + 20)**2/7
Suppose 5*t - 48*d = -42*d + 273, -5*d = -6*t + 321. Factor 0 + 3/2*u**2 + t*u.
3*u*(u + 34)/2
Suppose 19833*i**2 + 1504 + 3375*i**2 - 15696*i**4 + 324*i**5 + 21508*i**3 - 1396*i - 11420*i = 0. Calculate i.
-1, 2/9, 2, 47
Let x(k) = 10*k**4 + 20*k**3 - 308*k**2 + 627*k + 2673. Let y(w) = w**4 - w**3 - w**2 + 2*w + 1. Let a(s) = 4*x(s) - 44*y(s). Factor a(g).
-4*(g - 11)**3*(g + 2)
Let m = -3 - -7. Let -2*q**5 + q**5 - 2*q**2 + 3*q**5 - 15*q**4 - 2*q**3 + 17*q**m = 0. What is q?
-1, 0, 1
Suppose 232 = 161*i - 734. Suppose -10/3*h**3 - 14/3*h**4 + i*h**2 - 4/3 + 10/3*h = 0. What is h?
-1, 2/7, 1
Let y(i) = -8*i**2 - i + 12 + 0*i - 10 - i**3. Let n be y(-8). Factor -12*q**2 - 23*q**2 - 10*q**2 - n*q.
-5*q*(9*q + 2)
Suppose 139/5*l - 28/5 + l**2 = 0. Calculate l.
-28, 1/5
Let y be (-12)/(-4)*1074/18. Factor y*t**2 - 4500*t + 113*t**2 + 8*t**2 - 5*t**3.
-5*t*(t - 30)**2
Determine g, given that -14/5*g**2 - 1/5*g**5 - 16/5*g**4 + 0 + 0*g - 29/5*g**3 = 0.
-14, -1, 0
Suppose 41 = 11*a + 15 - 18. Let p(h) be the third derivative of 0*h + 2/15*h**6 + 0 + 1/15*h**5 - 2/3*h**3 + 18*h**2 - 2/3*h**a. Find l such that p(l) = 0.
-1, -1/4, 1
Let g be (20/(-45))/(2*2/(-18)). Suppose -5*p + 10 = -0. Factor 60 - 60 - 8*u - 2*u**p - 2*u**g.
-4*u*(u + 2)
Let m(u) be the third derivative of 49/6*u**4 - 35*u**2 + 1/120*u**6 + 7/15*u**5 + 1 + 0*u + 0*u**3. Factor m(j).
j*(j + 14)**2
Let c(o) be the first derivative of o**4/34 - 22*o**3/51 - 26*o**2/17 + 903. Let c(n) = 0. What is n?
-2, 0, 13
Let h(f) be the first derivative of -f**5/150 + f**4/15 - f**3/5 + 8*f**2 - f + 10. Let w(c) be the second derivative of h(c). Suppose w(p) = 0. Calculate p.
1, 3
Let s(t) = -12*t**3 - 144*t**2 + 642*t - 243. Let x(b) = 25*b**3 + 288*b**2 - 1285*b + 483. Let v(p) = 5*s(p) + 3*x(p). Suppose v(z) = 0. Calculate z.
-13, 2/5, 3
Factor 111/2*n - 3/4*n**2 - 1035/4.
-3*(n - 69)*(n - 5)/4
Let c(t) be the first derivative of -4225*t**5 + 42575*t**4 - 327295*t**3/3 + 9830*t**2 - 300*t - 9943. Solve c(b) = 0.
2/65, 3, 5
Factor 0 - 1/6*p**2 - 187/6*p.
-p*(p + 187)/6
Let k(s) = -11*s + 25. Let i be k(2). Factor 3*b - 9*b**3 - 6*b**2 + 3 + 0*b**5 + 3*b**4 + 12*b**3 + i*b**5 - 9*b**3.
3*(b - 1)**2*(b + 1)**3
Suppose 3*f - 7*f + 12 = 0. Solve 275*d**5 + 2*d**2 - f*d**4 + 5 - 276*d**5 - 4*d**4 + 0*d**4 + 11*d - 10*d**3 = 0 for d.
-5, -1, 1
Let b(d) be the second derivative of -2*d**7/63 + 10*d**6/9 - 89*d**5/15 + 107*d**4/9 - 28*d**3/3 - 55*d - 66. Determine j, given that b(j) = 0.
0, 1, 2, 21
Suppose -1084 + 1056 = 4*c + 3*s, 2*c - 3*s - 40 = 0. Find f, given that -14/13*f**4 + 10*f**3 - 246/13*f**c - 290/13*f + 100/13 = 0.
-1, 2/7, 5
Let u(b) = -5*b - 11. Let d be u(11). Let r be d/(-9) + 9*18/(-27). Suppose -1/6*p**2 - r + p = 0. Calculate p.
2, 4
Let u = 77 + -73. Let p(g) be the first derivative of -22/5*g**5 - 3*g**6 + 15 + 0*g + 8/3*g**3 + 0*g**2 + 8*g**u. Let p(o) = 0. What is o?
-2, -2/9, 0, 1
Suppose -7*q = -8*q + 4. Suppose -q*c + 0*n + 18 = -2*n, -3*c + 4*n + 6 = 0. Factor -5*o**3 - 116*o - 6 + 95*o + 14*o**3 - c*o**2.
3*(o - 2)*(o + 1)*(3*o + 1)
Factor 0*j - 3/2*j**2 - 3/4*j**3 + 0.
-3*j**2*(j + 2)/4
Let t(x) be the first derivative of -5*x**6/9 + 2*x**5/5 + 17*x**4/6 + 2*x**3/9 - 4*x**2 - 8*x/3 + 125. What is r in t(r) = 0?
-1, -2/5, 1, 2
Factor 1/2*p**3 + 125/2*p + 20*p**2 - 3125.
(p - 10)*(p + 25)**2/2
Let m(t) = -2*t**2 - 23*t + 41. Let r be -1 - (-7 + -5)/(-1). Let n be m(r). Factor -5/6*b**5 - 5/3*b**3 - 5/6 + 5/2*b**4 - 5/3*b**n + 5/2*b.
-5*(b - 1)**4*(b + 1)/6
Suppose -u = 18*z - 94, 4*z + 4228 - 4232 = 4*u. Factor -29/2*v**2 - 2*v**u + 0 + 21/2*v**3 + 3*v.
-v*(v - 3)*(v - 2)*(4*v - 1)/2
Let w be (-1)/(-28 - (-33 + 11)). Let -1/2*n**3 + 1/3*n**2 + 2*n + 4/3 - w*n**4 = 0. What is n?
-2, -1, 2
Let q(p) be the first derivative of -p**5/20 - 5*p**4/2 - 50*p**3 - 500*p**2 + 232*p + 221. Let h(f) be the first derivative of q(f). Factor h(y).
-(y + 10)**3
Let x(v) be the third derivative of 1/24*v**6 + 0*v + 5/12*v**5 + 5/2*v**3 - 16*v**2 + 3 + 35/24*v**4. Find a such that x(a) = 0.
-3, -1
Suppose 4*y = -4*u - 424, 3*y + 2*u + 74 + 248 = 0. Let i be (-1*3 - y/33)*16. Suppose -8*n + i + 2*n**3 + 10/3*n**4 - 44/3*n**2 = 0. What is n?
-2, -1, 2/5, 2
Suppose 3*o + 3066923 - 3066938 = 0. Factor -5/6*n**4 + 15/2 - 65/3*n - o*n**3 + 20*n**2.
-5*(n - 1)**3*(n + 9)/6
Let m(q) = -11*q + 120. Let f be m(11). Let u be -7*(-3)/(-42)*(-1 - f). Factor 0*n + 3/7*n**4 + 9/7*n**5 + 0*n**2 + u - 6/7*n**3.
3*n**3*(n + 1)*(3*n - 2)/7
Let p(h) be the second derivative of -h**5/5 + 28*h**4/3 + 1826*h**3/3 - 1880*h**2 + 25*h + 87. Find f such that p(f) = 0.
-20, 1, 47
Factor -9*p**2 + 1/5*p**3 - 48/5*p + 92/5.
(p - 46)*(p - 1)*(p + 2)/5
Let y = 29470/747 - -1392/83. Factor 68/9*x**3 + 72 + 2/9*x**4 - 136*x + y*x**2.
2*(x - 1)**2*(x + 18)**2/9
Let g(l) be the first derivative of -l**5/5 + 19*l**4/16 - 11*l**3/4 + 25*l**2/8 - 7*l/4 - 2697. Factor g(q).
-(q - 1)**3*(4*q - 7)/4
Let h(d) be the first derivative of d**7/70 + d**6/10 + 3*d**5/20 - 57*d**2/2 - 21. Let o(f) be the second derivative of h(f). Factor o(w).
3*w**2*(w + 1)*(w + 3)
Let t(z) be the first derivative of z**3/3 - 4*z**2 - 18*z - 578. Let q be t(-2). What is f in 0 - 3/2*f**q + 3/2*f