 v(y) = -3*s(y) - 4*z(y). Find m such that v(m) = 0.
-3, 0, 1/24
Let a(o) be the second derivative of -o**6/30 + o**5/2 - 29*o**4/12 + 16*o**3/3 - 6*o**2 + 1073*o. Factor a(d).
-(d - 6)*(d - 2)*(d - 1)**2
Suppose 16*m = 14*m - 62. Let y = -19 - m. Factor 576 + 96*f - 25*f**2 + y*f**2 + 13*f**2 + 4*f**2.
4*(f + 12)**2
Let l(f) = -50*f**3 + 375*f**2 - 625*f - 930. Let p(y) = 63*y**3 - 470*y**2 + 781*y + 1162. Let n(z) = 19*l(z) + 15*p(z). Determine d, given that n(d) = 0.
-1, 4, 12
Let t(x) be the first derivative of x**3/3 - 59*x**2/2 - 320*x + 4770. Find g such that t(g) = 0.
-5, 64
Suppose o + 4*d = -4*o - 6, o - 5*d - 22 = 0. Factor -4*t**2 + 19*t**2 - t**4 - o*t**2 + 8*t**3 - 6*t + t**5 - 15*t**3.
t*(t - 2)*(t - 1)**2*(t + 3)
Let o be (7/((-49)/(-42)))/(-2). Let y be (-12)/o + -5 - (-5)/2. Find q, given that -3/2*q**2 + 0 + 0*q - y*q**4 + 3*q**3 = 0.
0, 1
Let f(r) be the first derivative of -r**6/210 + 68*r**5/105 - 13*r**2 + r + 72. Let n(b) be the second derivative of f(b). Find p, given that n(p) = 0.
0, 68
Suppose 11 = -2*w - 5*l, -w + 4*l - 66 = -80. Let 5*c + 5*c**5 - 2*c - 33*c**4 - 2*c**3 - c**w - 6*c**5 - 3*c**2 + 37*c**4 = 0. Calculate c.
-1, 0, 1, 3
Let l(r) = 35*r**2 + 444*r - 49278. Let s(a) = 99*a**2 + 1332*a - 147835. Let y(j) = 17*l(j) - 6*s(j). Suppose y(p) = 0. Calculate p.
222
Let f be (126/(-8))/(-21) + (1 - 46/40). Let k(u) be the first derivative of f*u + 30 + 1/20*u**4 - 1/2*u**2 + 1/15*u**3. Factor k(w).
(w - 1)**2*(w + 3)/5
Let g(c) be the third derivative of c**7/21 + c**6/5 - 3*c**5/10 - 993*c**2 + 2*c. Find u such that g(u) = 0.
-3, 0, 3/5
Suppose -367*k - 121*k = -136*k - 1056. Determine t, given that 0*t + 0 - 3*t**2 + 9/2*t**k - 3/2*t**4 = 0.
0, 1, 2
Let i(f) = -56*f**3 - 994*f**2 - 988*f - 10. Let b(g) = 44*g**3 + 992*g**2 + 988*g + 8. Let t(c) = 5*b(c) + 4*i(c). Suppose t(z) = 0. What is z?
-1, 0, 247
Suppose 3*h = 5*g - 40, 3*h = -6*g + 2*g + 5. Let g*b**2 + 9*b + 17*b - 2*b - 9*b = 0. What is b?
-3, 0
Let s = -52/3909 - -8078/19545. Factor 44/5 + 18/5*v - s*v**2.
-2*(v - 11)*(v + 2)/5
Let r(y) = -6*y - 13. Let h be r(-3). Let b = h + -2. Factor b*v**2 + 21*v**3 - 23*v - 3*v + 5*v - 6 + 3*v**2.
3*(v - 1)*(v + 1)*(7*v + 2)
Let v be 39/(-40) + 6 + (-85)/(0 + 17). Let l(c) be the third derivative of 0 + 0*c**4 - v*c**6 + 4*c + 2*c**2 + 0*c**3 - 1/20*c**5. Let l(w) = 0. Calculate w.
-1, 0
Let s(w) = -48*w**3 + 447*w**2 + 883*w + 14. Let j(k) = 7*k**3 + k - 2. Let x(h) = 7*j(h) + s(h). Factor x(a).
a*(a + 2)*(a + 445)
Let b be (144/(-51) + 3)*(-14)/(-189). Let k = b + 280/1989. Find x, given that -20/13*x - k*x**2 - 50/13 = 0.
-5
Let f(t) be the third derivative of -t**8/2016 - t**7/180 - 7*t**6/720 + 23*t**5/360 + 11*t**4/36 + 5*t**3/9 - 131*t**2 + 5*t. Suppose f(j) = 0. What is j?
-5, -2, -1, 2
Find t such that 337*t**2 + 216*t**3 + 167*t**2 - 12022*t - 9146*t - 219*t**3 = 0.
0, 84
Let y(i) be the first derivative of -i**3/6 + 207*i**2 - 85698*i - 661. Factor y(w).
-(w - 414)**2/2
Let k(u) be the first derivative of -3*u**5/10 + 55*u**4 - 5567*u**3/2 + 10260*u**2 + 7776*u - 2287. Suppose k(q) = 0. What is q?
-1/3, 3, 72
Suppose 437*m + 38*m = -93*m + 4544. Suppose -2*k + 21 = -3*a - 0*a, -5*k + 62 = 2*a. Determine f, given that -1/2*f**2 + 3*f**3 - k*f - m - 1/2*f**4 = 0.
-1, 4
Let j(s) be the third derivative of -s**6/420 - 2*s**5/105 + 8*s**4/21 + 110*s**2 - 6*s. Let j(h) = 0. Calculate h.
-8, 0, 4
Let x(m) be the third derivative of 37*m**6/240 + 43*m**5/60 + 61*m**4/48 + m**3 + 38*m**2 + 2*m + 5. Factor x(b).
(b + 1)**2*(37*b + 12)/2
Let a(s) = 39*s**4 + 122*s**3 + 62*s**2 - 4*s - 12. Let i(z) = 2*z**3 - z**2 - 2*z - 2. Let g(d) = a(d) - 6*i(d). Find n, given that g(n) = 0.
-2, -2/3, -2/13, 0
Let s(y) be the first derivative of -y**3/15 - 6*y**2/5 - 7*y - 160. Find o such that s(o) = 0.
-7, -5
Let t = 1/9620 - 35597/28860. Let i = -5/6 - t. Factor 0 + i*x**2 + 0*x.
2*x**2/5
Let h be (-45)/(-100)*(6 + (-325)/75). Let -45/4*v**2 + 9/4*v**3 + h*v**4 + 51/4*v - 9/2 = 0. What is v?
-6, 1
Determine z, given that 291*z + 8*z**3 - 3*z**3 + 470*z**2 - 948*z - 303*z = 0.
-96, 0, 2
Suppose 32*f - 29*f = -5*q - 15, -2*f - 2*q = 2. Let c(n) be the second derivative of -1/20*n**5 + 2/3*n**4 - 13/6*n**3 + 0 + f*n + 3*n**2. Factor c(u).
-(u - 6)*(u - 1)**2
Let j(l) be the first derivative of -4*l**5/5 + 17*l**4/3 - 40*l**3/3 + 8*l**2 + 81*l + 20. Let u(h) be the first derivative of j(h). What is b in u(b) = 0?
1/4, 2
Let f(t) be the first derivative of -2*t**7/21 + 6*t**6/5 + 22*t**5/5 + 9*t - 78. Let m(p) be the first derivative of f(p). Let m(s) = 0. Calculate s.
-2, 0, 11
Let k(x) be the first derivative of -x**3/12 + 5*x**2/8 - x - 4694. Factor k(l).
-(l - 4)*(l - 1)/4
Let j(f) be the second derivative of f**6/45 + 56*f**5/15 + 1045*f**4/6 - 112*f**3/9 - 3136*f**2/3 + 4*f + 55. Let j(c) = 0. What is c?
-56, -1, 1
Let b(g) = 8*g**2 + 8*g + 3. Suppose -5*s = w - 15, -12*s + 2*w = -16*s + 12. Let n(q) = -15*q**2 - 15*q - 5. Let k(r) = s*n(r) + 5*b(r). Factor k(l).
-5*l*(l + 1)
Let w(b) be the second derivative of b**4/42 + 88*b**3/21 - 140*b**2 - 3199*b - 2. Factor w(v).
2*(v - 10)*(v + 98)/7
Suppose -3*r + 6*r = -9. Let j be (-1)/r*(2 - -133). Solve -j*g**2 + 25*g - 33*g - 27*g + 10 = 0 for g.
-1, 2/9
Let 194520*k**2 + 164*k**4 + 170*k**3 + 142*k**3 - 194388*k**2 - 16*k = 0. What is k?
-1, 0, 4/41
Let x be 0 - (-8300)/(-350) - -28. Factor -32/7*w - 11/7 + 1/7*w**4 - 8/7*w**3 - x*w**2.
(w - 11)*(w + 1)**3/7
Let c be ((-855)/(-30) - 6)*4/27. Determine l, given that 8/3*l + 0 + c*l**3 + 2/3*l**4 + 16/3*l**2 = 0.
-2, -1, 0
Let u be (-6)/(25 - 162/6). Suppose -4 - 1/5*m**u - 1/5*m**2 + 16/5*m = 0. What is m?
-5, 2
Let t(l) be the first derivative of -3*l**4/20 + 39*l**2/10 - 36*l/5 + 298. Factor t(s).
-3*(s - 3)*(s - 1)*(s + 4)/5
Let q(h) be the second derivative of -1 - 5/2*h**3 + 6*h**2 + 49*h + 1/8*h**4 + 3/40*h**5. Factor q(d).
3*(d - 2)*(d - 1)*(d + 4)/2
What is q in 3120/7*q - 1376/7*q**2 - 212/7*q**3 - 1600/7 - 4/7*q**5 + 72/7*q**4 = 0?
-4, 1, 10
Suppose 4*c = -0*c - 12. Let p be (-5034)/(-8) + c/12. Factor -20 + 679*m + 9*m**2 + 65 - p*m - 4*m**2.
5*(m + 1)*(m + 9)
Let x(u) be the first derivative of -u**3/3 + 25*u**2/2 + 150*u - 553. Factor x(c).
-(c - 30)*(c + 5)
Suppose -r - 6 = -3*y, -27*r + 28*r = 4*y - 8. Factor -12*x**3 + 1 + 44*x**y + 3*x + 35*x + 25*x + 13*x + 19.
-4*(x - 5)*(x + 1)*(3*x + 1)
Let g = -57 - -66. Let v(f) = -177*f**3 + 213*f**2 - 12*f - 15. Let d(w) = -44*w**3 + 53*w**2 - 3*w - 4. Let a(o) = g*d(o) - 2*v(o). Factor a(p).
-3*(p - 1)*(2*p - 1)*(7*p + 2)
Let g(x) = -x**3 - 18*x**2 - 17*x - 24. Let m be g(-17). Let w = 152 - m. Factor 12*l - 2*l + w*l**2 - 5*l**3 - 171*l**2.
-5*l*(l - 2)*(l + 1)
Determine o so that -12/5*o + 3/5*o**3 + 0 + 9/5*o**2 = 0.
-4, 0, 1
Let b = 11988 - 11983. Let d(o) be the third derivative of 1/126*o**7 + 0*o + 0*o**6 - 5/6*o**3 - 1/6*o**b - 37*o**2 - 5/9*o**4 + 0. Factor d(k).
5*(k - 3)*(k + 1)**3/3
Let s(m) be the second derivative of -m**5/20 + 1309*m**4/12 - 427715*m**3/6 - 429025*m**2/2 + 652*m - 2. Factor s(g).
-(g - 655)**2*(g + 1)
Suppose 8*y - 2*y - 30 = 0. Suppose -10*a = -y*a - 35. Factor -2*n + 36*n + 12 + 4*n**3 - n**3 - a*n + 18*n**2.
3*(n + 1)**2*(n + 4)
Suppose 0 = n - 3*r - 38, -4*n - 3*r = 12 - 89. Let n*d + 38*d**3 + 122*d - 110*d**2 + 40*d**4 - 58*d**3 + 150 - 5*d**5 - 40*d**3 = 0. Calculate d.
-1, 2, 3, 5
Factor 10/7*a**2 - 26/7 - 46/21*a - 2/21*a**3.
-2*(a - 13)*(a - 3)*(a + 1)/21
Let k = 68/15 - 58/15. Let h(g) be the first derivative of 1/9*g**3 + 0*g - 5 - k*g**2. Factor h(z).
z*(z - 4)/3
Let w = 458056 - 458056. What is t in w*t + 0 - 2/17*t**3 - 14/17*t**2 = 0?
-7, 0
Suppose 3*j = 3*z - 9, 3 = z - 0*j - 5*j. Let n be -17767 + 17692 - (1 - 78). Let 0 - n*i**z - 2/3*i**4 + 0*i - 4/3*i**2 = 0. What is i?
-2, -1, 0
Factor -1/2*t**2 - 143/2 - 12*t.
-(t + 11)*(t + 13)/2
Let i(n) = n**3 + 19*n**2 - 72*n - 630. Let p be i(-21). Solve 0*c + p + 1/2*c**3 - 2*c**2 = 0 for c.
0, 4
Let u(r) be the first derivative of -8/9*r**2 + 43 + 10/3*r + 2/27*r**3. Solve u(i) = 0.
3, 5
Determine m, given that 60*m**2 + 1/7*m**4 + 1408/7*m + 37/7*m**3 + 1024/7 = 0.
-16, -4, -1
Let q = -303291 + 303293. Factor -1875/2 - 75/2*l - 3/8*l**q.
-3*(l + 50)**2/8
Let i = -