 0.
-2/5, 0, 11
Let j(h) be the second derivative of h**5/4 + 235*h**4/12 - 125*h**3 - h + 189. Let j(w) = 0. Calculate w.
-50, 0, 3
Let w(y) be the first derivative of -35 + 66*y**2 - 484/3*y - 3/2*y**4 - 37/9*y**3 - 1/15*y**5. Factor w(g).
-(g - 2)**2*(g + 11)**2/3
Let -2/9*b**2 - 220/9 - 6*b = 0. What is b?
-22, -5
Let d(j) = j**2 + 9*j + 2. Let l be d(-9). Find n, given that -21*n**4 - 15*n**5 + 11*n**2 + l*n**2 + 11*n**2 - 12*n**2 + 24*n**3 = 0.
-2, -2/5, 0, 1
Factor -216*i + 2/7*i**2 + 40824.
2*(i - 378)**2/7
Let w(s) = -s**2 + 834*s - 9862. Let m be w(12). Factor -32/5 + 36/5*q**3 + 116/5*q**m - 24*q.
4*(q - 1)*(q + 4)*(9*q + 2)/5
Let l(p) = -6092*p - 54823. Let n be l(-9). Factor -64 + 0*h**3 - 320/3*h + 20/3*h**4 - 160/3*h**2 + 4/3*h**n.
4*(h - 3)*(h + 2)**4/3
Let m(u) be the second derivative of u**6/30 - 4*u**5/5 + 37*u**4/6 - 52*u**3/3 + 45*u**2/2 + 3*u + 85. Find i, given that m(i) = 0.
1, 5, 9
Let a(z) = 354*z - 10620. Let m be a(30). Factor -8/15*o**3 - 2/15*o**4 + m + 22/15*o**2 - 4/5*o.
-2*o*(o - 1)**2*(o + 6)/15
Suppose -g = -0*g - 8. Let v = 18592 - 18572. Find j such that -v*j**2 - 4*j**4 - 11*j**3 - 8*j**3 - 13*j**3 + g*j**3 = 0.
-5, -1, 0
Let o(j) = 6*j**5 + 18*j**4 + 18*j**3 - 50*j**2 - 96*j - 40. Let g(l) = -l**5 - l**4 + l**2 - l - 2. Let n(h) = 4*g(h) + o(h). Let n(y) = 0. Calculate y.
-4, -3, -1, 2
Let z(l) be the first derivative of -3*l**4/16 + l**3/4 + 399*l**2/8 - 1911*l/4 - 3036. Suppose z(y) = 0. What is y?
-13, 7
Suppose -418 + 366*d**2 + 20*d - 361*d**2 - 2687 = 0. Calculate d.
-27, 23
Let o(f) = 105*f**2 - 1910*f + 14585. Let i(r) = 486 - 451*r - 8*r**2 + 598*r - 1608. Let q(u) = -40*i(u) - 3*o(u). Determine t so that q(t) = 0.
15
Suppose 0 = 29*t - 13*t - 192. Suppose -21 - 84*p**2 + 48 - 188*p + 198*p**3 - 92*p + 21 + t*p**5 + 106*p**4 = 0. Calculate p.
-6, -2, 1/6, 1
Suppose -c - 18*c = -19. Let s be (-18)/(-48) + c/8*-3. Factor -2/17*v**5 + s + 0*v**4 + 0*v + 2/17*v**3 + 0*v**2.
-2*v**3*(v - 1)*(v + 1)/17
Let t(d) = d**2 - 22*d + 48. Let o be t(21). Suppose 4*j + 11 = o. Factor 10 + 47*m**3 + 14*m**4 + j*m + 10*m**5 - 74*m**3 - 26 + 74*m**2 - 59*m**3.
2*(m - 1)**3*(m + 4)*(5*m + 2)
Let m(f) = -8*f**4 - 28*f**3 - 52*f**2 - 52*f - 12. Let o(z) = -z**4 - z**3 - z + 1. Let j = -11 - -47. Let k = 32 - j. Let q(a) = k*o(a) + m(a). Factor q(g).
-4*(g + 1)**2*(g + 2)**2
Let x(w) be the first derivative of -7*w**6/300 - w**5/75 + 7*w**4/60 + 2*w**3/15 + 14*w**2 + 2*w + 15. Let z(f) be the second derivative of x(f). Factor z(q).
-2*(q - 1)*(q + 1)*(7*q + 2)/5
Factor 1095*o**2 + 260*o**3 - 165 + 9201*o - 2*o**4 - 3*o**4 + 725 + 0*o**4 - 7811*o.
-5*(o - 56)*(o + 1)**2*(o + 2)
Let a(s) be the first derivative of -4*s**5/15 - 17*s**4/3 - 352*s**3/9 - 96*s**2 + 3047. Find u, given that a(u) = 0.
-9, -4, 0
Let d(y) be the third derivative of 4*y**8/63 - 152*y**7/315 + 29*y**6/30 + 3*y**5/20 - 3*y**4 + 9*y**3/2 - 755*y**2. Find n, given that d(n) = 0.
-3/4, 3/4, 1, 3
Let s(x) be the second derivative of -26*x + 3/8*x**4 + 3 - 7/18*x**3 - 1/10*x**5 + 0*x**2 - 1/180*x**6. Suppose s(m) = 0. What is m?
-14, 0, 1
Let u(o) be the first derivative of 3*o**5/40 + 21*o**4/16 - 3*o**3/8 - 15*o**2/2 + 21*o/2 - 4923. Find p such that u(p) = 0.
-14, -2, 1
Let a(f) be the second derivative of 0 + 75/14*f**2 + 1/28*f**4 - 57*f - 13/7*f**3. Suppose a(b) = 0. What is b?
1, 25
Let p(x) = -9*x**5 + 6*x**4 - 9*x**3 - 30*x. Let b(q) = q**5 - 2*q**4 + 6*q**3 + q**2 + q. Let m(g) = 6*b(g) + p(g). Suppose m(y) = 0. Calculate y.
-4, -1, 0, 1, 2
Let v(m) be the first derivative of m**4/15 + 4*m**3/15 - 6*m**2/5 - 51*m + 28. Let o(d) be the first derivative of v(d). Let o(u) = 0. What is u?
-3, 1
Let s(n) be the first derivative of -3*n**4/4 - 14*n**3 + 294*n**2 + 8232*n - 1873. Factor s(t).
-3*(t - 14)*(t + 14)**2
Let l(z) be the second derivative of -z**4/48 + 97*z**3/12 - 945*z**2/8 - 5982*z. Factor l(b).
-(b - 189)*(b - 5)/4
Let v(u) be the second derivative of 0*u**4 + 0*u**3 + 2/45*u**6 + 1/30*u**5 + 1/63*u**7 - 28*u + 0 + 0*u**2. Find j, given that v(j) = 0.
-1, 0
Suppose 3717/4*x + 930 - 3/4*x**2 = 0. Calculate x.
-1, 1240
Let u be (-2 - (-9 - -2))*227. Let p = u + -1131. Factor 0 + 0*l**2 - 4/9*l**3 + 2/9*l**5 + 2/9*l + 0*l**p.
2*l*(l - 1)**2*(l + 1)**2/9
Let w be 187/221 + 2/13 - -6. Let j be 3/(-126)*-87 + (-4)/w. Factor j*m**2 - 1/2*m**3 - 1/2*m**4 + 5/2*m + 1.
-(m - 2)*(m + 1)**3/2
Let o be (12609/140)/9 - 10. Let g(b) be the third derivative of 0 + 10*b**2 + 1/56*b**4 + 0*b**3 + o*b**5 + 0*b. Factor g(a).
3*a*(a + 1)/7
Suppose 4*j - j + 24 = 0. Let q(x) = x**2 + 5*x - 22. Let a be q(j). Factor 13*r**a - 8*r + 27*r**3 + 10*r + 7*r**4 + 16*r**4 + 7*r**5.
r*(r + 1)**3*(7*r + 2)
Let s(o) be the first derivative of -1/9*o**3 + 1/15*o**5 - 4/3*o - 72 - 1/18*o**6 + 5/12*o**4 - 4/3*o**2. Determine i so that s(i) = 0.
-1, 2
Let n(p) be the third derivative of -49*p**3 - 13*p**2 - 7/4*p**4 - 1/40*p**5 + 2 + 0*p. Factor n(j).
-3*(j + 14)**2/2
Let c(q) = -q**3 - 6*q**2 + 2*q + 11. Let g be c(-5). Let w = 55 + g. Solve -5*o**2 + o**2 + 71*o - w*o - 100 = 0.
5
Let z = -4757 + 4760. Let d(n) be the first derivative of 0*n**2 + 1/15*n**z - 1/5*n + 12. Find o, given that d(o) = 0.
-1, 1
Let x be (((-144)/(-27))/((-4)/6))/(-2). What is k in 4*k**2 - 4*k**x + k**2 - k**2 + 4*k**5 - 4*k**3 = 0?
-1, 0, 1
Let c(n) be the first derivative of 0*n - 116 + 2/5*n**5 - 22/9*n**3 - 2*n**2 + 1/9*n**6 - 1/2*n**4. Find b, given that c(b) = 0.
-3, -1, 0, 2
Suppose 0 = -35*r + 6444667 - 6444527. Find i such that -2/5*i**5 + 0*i + 12/5*i**2 - 22/5*i**3 + 12/5*i**r + 0 = 0.
0, 1, 2, 3
Let j be 52/24 + 37/(-222) - 2/(-2). Let a(n) be the first derivative of 13 - 55/16*n**4 + 5/4*n**2 - 15/4*n**j + 0*n. Find i, given that a(i) = 0.
-1, 0, 2/11
Let h = 414 - 406. Suppose 24*f - h = 40. Find s, given that -3/7*s**4 + 4/7*s**f + 0*s + 0 - 1/7*s**5 + 0*s**3 = 0.
-2, 0, 1
Suppose -3*i + 5*i = 5*l - 59, 5*l + 5*i - 80 = 0. Factor -12*h**3 - 72*h**5 + 7*h**4 - 3*h - l*h**4 + 71*h**5 - 10*h**2.
-h*(h + 1)**3*(h + 3)
Determine z, given that 0 - 1/7*z**4 + 141/7*z - 191/7*z**2 + 51/7*z**3 = 0.
0, 1, 3, 47
Let h(k) be the second derivative of -3*k**5/16 - 13*k**4/8 - 3*k**3 - 2*k + 488. Factor h(y).
-3*y*(y + 4)*(5*y + 6)/4
Let a be 776/485 + (-764)/(-60) - 14. Factor a - 1/6*z - 5/6*z**2 - 1/3*z**3.
-(z + 1)*(z + 2)*(2*z - 1)/6
Let h(c) = -5*c - 20. Let b be h(-7). Factor 7*w**3 + 0*w**3 + b*w**2 + 0*w**3 - 60 - 20*w - 2*w**3.
5*(w - 2)*(w + 2)*(w + 3)
Factor 1/12*m**3 + 0 + 101/6*m**2 + 67/4*m.
m*(m + 1)*(m + 201)/12
Let u(f) be the third derivative of -f**7/840 - f**6/90 - f**5/30 - 61*f**3/6 + 43*f**2. Let m(s) be the first derivative of u(s). What is i in m(i) = 0?
-2, 0
Let u(x) be the third derivative of x**5/30 - 91*x**4/2 - 1096*x**3/3 - 133*x**2 - 2*x - 11. Factor u(d).
2*(d - 548)*(d + 2)
Let l(z) = -36*z**2 + 2241*z - 556. Let f be l(62). Find o, given that -f*o + 1/3*o**2 + 0 = 0.
0, 6
Find o, given that 226*o**3 - 23*o**2 + 29*o**4 - 274*o**2 - 49*o**4 + 87*o + 17*o**4 - 13*o = 0.
0, 1/3, 1, 74
Let o(w) = 6*w + 4. Let u be o(4). Let h be (-10)/(-4)*-2*u/(-35). Factor c**2 + 3*c**4 + 9*c**4 + h*c**3 + 3*c**2 - 4*c + 16*c**3.
4*c*(c + 1)**2*(3*c - 1)
Let s(u) be the first derivative of -2*u**5/15 - 5*u**4/3 + 46*u**3/9 - 4*u**2 - 1524. Suppose s(k) = 0. Calculate k.
-12, 0, 1
Let z = 8905/6 - 1484. Let h(u) be the first derivative of 1/6*u**3 - 2/3*u - 1/3*u**2 + 1/30*u**5 - 1 + z*u**4. Factor h(x).
(x - 1)*(x + 1)*(x + 2)**2/6
Let z be -4*(((-7)/6)/(-7) - 258/387). Solve 386/9*l**z - 104/3*l + 8 - 104/9*l**3 + 8/9*l**4 = 0 for l.
1/2, 6
Let s(m) be the second derivative of -8/15*m**3 + 2 - 11*m + 8/75*m**6 - 4/15*m**4 + 2/105*m**7 + 3/25*m**5 + 0*m**2. Determine j, given that s(j) = 0.
-2, -1, 0, 1
Find c such that 6 - 107/2*c + 13*c**2 = 0.
3/26, 4
Let p = 81277/36684 - -27/4076. What is j in -2/9*j**2 - p*j - 14/3 = 0?
-7, -3
Let d(g) = -1460*g + 2. Let r be d(0). Factor 1/4*k**r + 2401/4 + 49/2*k.
(k + 49)**2/4
Let x(w) be the first derivative of -19 + 0*w + 1/36*w**4 + 0*w**5 - 1/180*w**6 - 15/2*w**2 + 0*w**3. Let n(y) be the second derivative of x(y). Factor n(j).
-2*j*(j - 1)*(j + 1)/3
Suppose -181*n = -62*n - 13 - 56 - 169. Factor -1/3*i**n - 22/3 - 23/3*i.