+ 24*t + 6. Let k(d) = b*x(d) - 7*z(d). Suppose k(j) = 0. What is j?
-1, 0, 8
Let k(j) be the first derivative of j**6/40 + 11*j**5/20 + 3*j**4 - 18*j**3 - 25*j**2 - 42. Let s(c) be the second derivative of k(c). Factor s(m).
3*(m - 1)*(m + 6)**2
Solve -2/11*h**2 + 190/11*h - 372/11 = 0.
2, 93
Let a(f) be the first derivative of f**5/90 - f**3/9 - 2*f**2/9 - 15*f + 96. Let m(v) be the first derivative of a(v). Factor m(d).
2*(d - 2)*(d + 1)**2/9
Let z be -2*((-465)/(-1200))/(-31). Let o(i) be the third derivative of 0*i - 19*i**2 + 1/4*i**4 - z*i**5 - 3/4*i**3 + 0. Factor o(n).
-3*(n - 3)*(n - 1)/2
Let r(b) be the second derivative of b**4/42 - 2*b**3/3 - 72*b**2/7 + 4*b - 16. Factor r(n).
2*(n - 18)*(n + 4)/7
Let u(x) = x**3 - x**2 + 1. Let k be 17/(-4) + (-63)/(-252). Let p(y) = 32*y - 44. Let w(h) = k*u(h) + p(h). Suppose w(n) = 0. Calculate n.
-3, 2
Let h(b) = -4*b**2 + 12*b + 2. Let j be h(3). Factor -1656*t + 2*t**3 + 2*t**2 + 1688*t + 3*t**4 - 10*t**j - 16 - 10*t**3.
(t - 2)**2*(t + 2)*(3*t - 2)
Let l(n) be the third derivative of -70*n**2 - 7/3*n**4 + n + 0 - 196/3*n**3 - 1/30*n**5. Solve l(x) = 0 for x.
-14
Let k be 6/(-10) + (-8)/((-400)/55). Let j = 129 - 257/2. Solve 3 - k*p**2 - j*p = 0.
-3, 2
Suppose 52*z = -43*z + 328 - 43. Let c(i) be the first derivative of 3/2*i**2 - 1/5*i**4 + 12 + 18/5*i - 4/15*i**z. Determine b, given that c(b) = 0.
-3/2, 2
Find l, given that -26*l - 4/3*l**2 + 42 = 0.
-21, 3/2
Let r(u) = -7*u**2 + 26*u + 2. Let c(x) = 14*x. Let t be c(2). Let q(z) = -55 + 26 + t. Let l(v) = -6*q(v) + r(v). Factor l(k).
-(k - 4)*(7*k + 2)
Factor 512 - 4*y**3 + 352*y + 3*y**3 + 14*y**3 + 40*y**2 - 17*y**3.
-4*(y - 16)*(y + 2)*(y + 4)
Let g(l) be the first derivative of -l**5/25 + 57*l**4/20 - 11*l**3 + 163*l**2/10 - 54*l/5 - 5093. Suppose g(s) = 0. Calculate s.
1, 54
Let k be ((-12)/(1 - -3))/((-1)/(-2)). Let o be ((-5)/k)/(35/21). Factor -1/2*n**3 - 1/2*n**4 - 1 + 3/2*n**2 + o*n.
-(n - 1)**2*(n + 1)*(n + 2)/2
Let l be ((-47)/(-12) + -4)/((-9058)/(-378) + -24). Suppose l*s - 1/4*s**2 - 2 = 0. Calculate s.
1, 8
Factor 1/2*c**2 - 96 - 61/2*c.
(c - 64)*(c + 3)/2
Let q(v) be the third derivative of v**5/30 + 505*v**4/12 + 1006*v**3/3 - 2*v**2 - 2*v - 3263. Suppose q(g) = 0. Calculate g.
-503, -2
Let y(t) be the first derivative of -t**4/4 + t**3/3 - t - 20. Let g(a) = 12*a**3 + 21*a**2 + 20*a - 3. Let q(u) = 3*g(u) + 15*y(u). Factor q(x).
3*(x + 2)**2*(7*x - 2)
Let k(m) be the third derivative of 0 + 1/6*m**4 + 0*m - 87*m**2 - 1/30*m**5 - 1/3*m**3. Solve k(y) = 0.
1
Let u(g) be the second derivative of g**4/30 - 430*g**3/3 + 231125*g**2 - 3*g - 939. Factor u(c).
2*(c - 1075)**2/5
Find c, given that -51*c**3 + 50 - c**4 + 2490*c - 2439*c + 14*c**2 - 63*c**2 = 0.
-50, -1, 1
Let x(z) be the second derivative of z**6/6 - 45*z**5/4 + 1085*z**4/6 + 8695*z. Factor x(l).
5*l**2*(l - 31)*(l - 14)
Let t(a) be the second derivative of 1/25*a**5 - 17/15*a**4 + 54*a - 2 + 32/3*a**3 - 128/5*a**2. Factor t(g).
4*(g - 8)**2*(g - 1)/5
What is o in -10092 - 2178*o**2 - 9744*o + 84*o**3 - 3/4*o**4 = 0?
-2, 58
Let b(y) = 2*y**2 + 874*y + 18262. Let g be b(-22). Find k such that k**g + 5/4*k + 1/4 = 0.
-1, -1/4
Let h(m) = -426*m**3 - 247*m**2 + 72*m + 6. Let w(i) = -2555*i**3 - 1480*i**2 + 430*i + 35. Let p(d) = -35*h(d) + 6*w(d). Let p(u) = 0. Calculate u.
-3/4, 0, 4/21
Let h = -642 + 644. What is g in 20*g**2 - 6*g**2 - 18*g**3 + 6*g**4 - g + 0*g**5 - h*g**5 + 4*g**4 - 3*g = 0?
0, 1, 2
Let q(s) = 34*s**2 - 1159*s - 1083. Let j be q(35). Factor -1 - 11/4*x**j + 15/4*x.
-(x - 1)*(11*x - 4)/4
Let r(b) = -13*b**3 - 123*b**2 + 483*b - 427. Let h(w) = -10*w**3 - 122*w**2 + 496*w - 428. Let o(a) = 5*h(a) - 4*r(a). Find l, given that o(l) = 0.
1, 4, 54
Solve 1/2*g**4 + 69*g**2 + 31/2*g**3 + 106*g + 52 = 0.
-26, -2, -1
Let d(f) = -72 + 16*f + 7*f**3 - f**2 + 24 + 26*f**2. Let y(t) = -93*t**3 - 324*t**2 - 207*t + 624. Let l(u) = 27*d(u) + 2*y(u). Factor l(v).
3*(v - 1)*(v + 2)*(v + 8)
Let d(q) be the second derivative of 0*q**3 + 2/33*q**4 + 3/110*q**5 + 0*q**2 + 0 - 7/165*q**6 - 98*q. Determine w, given that d(w) = 0.
-4/7, 0, 1
Let o be 29/(-116) + -2 + (-20)/(-8). Let s(j) be the third derivative of -1/20*j**5 + 10*j**2 + 0 + 3/2*j**3 + 0*j + o*j**4. Factor s(v).
-3*(v - 3)*(v + 1)
Let r be ((-759)/(-55) + -12)/(3/20). Let -5*o**2 + 3*o**2 + o + 8*o**2 - o**3 + 9*o**2 - 3 - r*o**2 = 0. What is o?
-1, 1, 3
Let a(f) = -3*f - 1. Let l(n) = -3*n**2 + 1731*n - 247104. Let u(z) = -3*a(z) - l(z). Factor u(q).
3*(q - 287)**2
Find d such that 230/13*d**3 + 0 - 236/13*d**4 + 36*d**2 + 2/13*d**5 + 0*d = 0.
-1, 0, 2, 117
Let v(p) = 6*p**3 - 79*p**2 + 5*p + 104. Let n be v(13). Solve -2/3*k**2 - 2/9*k**5 + 0*k + 10/9*k**3 - 2/9*k**4 + n = 0.
-3, 0, 1
Factor -7392*o + 348*o**2 - 27413*o**3 - 27417*o**3 - 7744 + 54826*o**3.
-4*(o - 44)**2*(o + 1)
Let d be ((-20)/25)/(18/(-4275)). Factor d*j**4 + 16*j**3 + 16*j**2 - 48*j**2 - 176*j**4 + 2*j**5.
2*j**2*(j - 1)*(j + 4)**2
Suppose -10*c - 223 = 207. Let i = c - -83. Suppose -15 + 6*g**3 + 111*g - 39*g**2 - 23*g - i*g = 0. Calculate g.
1/2, 1, 5
Suppose -11 = -j + 3*p, 1 - 10 = 3*p. Factor 24*o + 21*o + 2*o**3 + 8*o**j - 39*o.
2*o*(o + 1)*(o + 3)
Let r(j) be the first derivative of j**6/5 + 4*j**5/5 - 9*j**4/10 - 8*j**3/15 + 396. What is h in r(h) = 0?
-4, -1/3, 0, 1
Let w = 30 + -34. Let v be (-9)/6*w + -4. Solve -44*f**2 - v*f + 41*f**2 - f + 6 = 0.
-2, 1
Let g(s) = -2*s**3 + 2*s**2 - s + 6. Let v be g(3). Let u = v - -37. Solve -17 - 2*w + 12*w**2 + 13 + 2*w**3 + 4*w**3 - u*w**2 = 0 for w.
-1, 2/3
Factor -69/4*i**4 + 211/2*i**2 + 207/4 - 1/4*i**5 + 555/4*i + 3/2*i**3.
-(i - 3)*(i + 1)**3*(i + 69)/4
Let l = -5640 + 5656. Let q(c) be the first derivative of -4*c + l*c**3 + 15*c**6 + 7*c**4 - 3*c**2 - 156/5*c**5 - 27. Suppose q(f) = 0. What is f?
-1/3, 2/5, 1
Factor 3/5*i**3 + 0 + 15*i**2 - 78/5*i.
3*i*(i - 1)*(i + 26)/5
Let r be (-238)/(-1176) + 6/28. Let v(n) be the first derivative of 1/3*n**3 + 0*n + r*n**4 - 1/3*n**2 + 15. Factor v(b).
b*(b + 1)*(5*b - 2)/3
Let n(r) be the first derivative of -r**3/12 - 429*r**2/2 - 184041*r - 7178. Let n(t) = 0. Calculate t.
-858
Let o(u) be the third derivative of -u**7/105 - u**6/30 + 23*u**5/30 - u**4 - 12*u**3 - 2439*u**2. Suppose o(j) = 0. What is j?
-6, -1, 2, 3
Let j(h) = -5*h**2 + 60*h - 30. Let w(i) = -88 + 45 - i + 44 + 0*i. Let t(d) = j(d) + 30*w(d). Factor t(b).
-5*b*(b - 6)
Suppose 59*r + 64 - 146 - 213 = 0. Let w(g) be the third derivative of 0 + 5/36*g**4 - 30*g**2 + 0*g + 0*g**3 - 1/90*g**r. Factor w(j).
-2*j*(j - 5)/3
Factor 0 - 4/7*x**2 - 148/7*x.
-4*x*(x + 37)/7
Let s(a) be the second derivative of a**5/40 - 59*a**4/48 + 13*a**3/12 + 87*a**2/8 - 1902*a. Factor s(m).
(m - 29)*(m + 1)*(2*m - 3)/4
Let j(w) = -w**2 - w + 1. Suppose 8*c + 6 - 14 = 0. Let b(n) = -4*n**2 + 6*n - 11. Let x(v) = c*b(v) - 3*j(v). What is u in x(u) = 0?
2, 7
Suppose 0*j - 12 = -y - 2*j, -3*j = -15. Factor -y*q**2 + 1455 - 1455.
-2*q**2
Suppose 3*m - 5*o - 76 = -o, 88 = 5*m + 3*o. Suppose m = 4*c + 4*r, c + r = -4*r + 9. Factor 0*y - 1/3*y**c + 0 - 1/3*y**3 + 2/3*y**2.
-y**2*(y - 1)*(y + 2)/3
Factor -27*t + 99/2*t**2 + 9/2*t**4 + 1/4*t**5 - 54 + 107/4*t**3.
(t - 1)*(t + 1)*(t + 6)**3/4
Let v be 25 - -1 - (-12 - -12). Let y be v/15 + 0 + (-20)/50. Factor -1/3 + 1/3*k**2 - y*k**3 + 4/3*k.
-(k - 1)*(k + 1)*(4*k - 1)/3
Let l(i) be the second derivative of -i**6/150 - 79*i**5/100 + 27*i**4/20 + 79*i**3/30 - 8*i**2 + 2*i + 5169. Factor l(o).
-(o - 1)**2*(o + 1)*(o + 80)/5
Let z(a) be the first derivative of 3*a**5/5 + 207*a**4/4 - 778*a**3 + 1530*a**2 + 17064*a - 5171. Factor z(p).
3*(p - 6)**2*(p + 2)*(p + 79)
Suppose 47*n - 56 - 7 = 31. Let z(m) be the third derivative of 1/20*m**5 + 0*m**3 + 40*m**n + 0*m - 2/35*m**7 + 0 + 3/40*m**6 + 0*m**4. Solve z(o) = 0.
-1/4, 0, 1
Let z be 1770/(-6785) + (-2763)/552*-2. Factor 1 + z*s + 45/2*s**2 - 25/4*s**3.
-(s - 4)*(5*s + 1)**2/4
Let x(k) = k**3 + k. Let b be x(-1). Let t be b/(-2)*(-12)/(-4). Solve 7 - 2*h**t - 30*h - 11 + 14*h**2 + 29 - 7 = 0.
1, 3
Let w = -3211 - -1973. Let v = -16090/13 - w. Factor v*j - 2/13*j**2 + 0.
-2*j*(j - 2)/13
Let z = -9955 + 50018/5. Let 324/5*q + 36/5*q**3 - z - 3/5*q**4 - 162/5*q**2 = 0. What is q?
3
Let x(v) = -5*v**3