 + 9/5*s**3 + 1/5*s**4 + 28/5*s**2 + 36/5*s = 0. What is s?
-4, -2, -1
Let d(r) = 6*r**2 - 22*r - 3. Let v(a) = -6*a**2 + 23*a + 5. Let u(m) = 4*d(m) + 3*v(m). Let o be u(3). Factor 3*b + o - 3/2*b**2.
-3*b*(b - 2)/2
Find d such that -415/4*d**2 - 43263/4*d - 1/4*d**3 - 42849/4 = 0.
-207, -1
Suppose 21 = -3*r + 27. Find x such that 10*x**2 - 563*x - 16 + 557*x - 2*x**3 - r = 0.
-1, 3
Let o(t) be the second derivative of -t**4/3 - 316*t**3/3 - 314*t**2 + 21*t - 18. Factor o(b).
-4*(b + 1)*(b + 157)
Let w(o) be the second derivative of 3*o**5/100 + 109*o**4/20 - 45*o**3/2 - 999*o**2/10 + 1223*o + 2. Suppose w(z) = 0. What is z?
-111, -1, 3
Suppose -178*l = 2*c - 179*l - 9, 2*l + 2 = -4*c. Let g(s) = s**3 + 4*s**2 + 3*s. Let n be g(-2). Factor c*y + 0 + 3/2*y**3 + 4*y**n.
y*(y + 2)*(3*y + 2)/2
Let u(i) be the second derivative of 0*i**3 + 124*i - 1/4*i**5 - 2/15*i**6 + 0*i**2 - 1/42*i**7 - 1/6*i**4 + 1. Factor u(t).
-t**2*(t + 1)**2*(t + 2)
Let l(m) = 7*m + 71. Let b(o) = -5. Let x(z) = -6*b(z) + l(z). Let s be x(-14). Let 2/15*c**2 + 0 + 2/15*c**s + 0*c = 0. Calculate c.
-1, 0
Let x = -1311531/5 + 262308. Factor 8/5 + x*b + 1/5*b**2.
(b + 1)*(b + 8)/5
Let d = -206 - -330. Let m = 127 - d. Factor -75*x - 4 + 260*x**3 - 1 - 240*x**2 + 27*x**m + 33*x**3.
5*(x - 1)*(8*x + 1)**2
Determine j so that -256*j - 265 - 2*j**3 + 12 - 108 - 87 - 44*j**2 = 0.
-14, -4
Let h(q) = -36*q**2 - 62*q - 506. Let n(p) = 4*p**2 + p + 5. Let a(v) = h(v) + 10*n(v). Let a(s) = 0. Calculate s.
-6, 19
Let p = -187397 + 187397. Suppose p + 2/9*o**5 + 70/9*o**3 - 34/9*o**2 - 38/9*o**4 + 0*o = 0. What is o?
0, 1, 17
Let p(d) be the third derivative of d**9/30240 - d**8/896 + d**7/360 + d**4/3 - 79*d**2. Let l(t) be the second derivative of p(t). Let l(y) = 0. What is y?
0, 1, 14
Let w(d) = d**2 + 2*d + 5. Let s(o) = -o**2 - o + 2. Let z(m) = -6*s(m) - 3*w(m). Let z(a) = 0. Calculate a.
-3, 3
Let s(n) = 19*n**2 + 1. Let v(u) = 39*u**2 - 109*u - 334. Let c(x) = 10*s(x) - 5*v(x). Factor c(g).
-5*(g - 112)*(g + 3)
Let a be 7 + ((5 + 27)/160)/(303/(-75) + 4). Factor -2/11*n**4 + 0 + 30/11*n**a + 0*n + 28/11*n**3.
-2*n**2*(n - 15)*(n + 1)/11
Let x(a) be the third derivative of a**5/12 - 95*a**4/12 - 200*a**3/3 - 150*a**2. Factor x(t).
5*(t - 40)*(t + 2)
Let c = 2577 - 1457. Factor 130*x**3 + 1100*x**4 - 5*x**5 + 10 - 50 - 134*x**2 - c*x**4 - 86*x**2 + 155*x.
-5*(x - 1)**4*(x + 8)
Suppose 7*t - 528 = -17*t. Find h, given that t*h + 2*h**4 + 0*h**3 + 23*h - h**5 - h**3 - 45*h = 0.
0, 1
Let t(o) be the second derivative of 3*o**5/40 + 5*o**4/2 + 117*o**3/4 + 297*o**2/2 + 10108*o. Determine j, given that t(j) = 0.
-11, -6, -3
Let u(s) be the third derivative of -82*s**2 - 2/3*s**3 - 1/15*s**5 + 1/3*s**4 - s + 0. Suppose u(r) = 0. What is r?
1
Let r(q) be the second derivative of -1/2*q**4 + 2 - 35*q + 8/9*q**3 + 1/3*q**2. Factor r(s).
-2*(s - 1)*(9*s + 1)/3
Let f(i) = 5*i**3 - 4*i - 5. Let s be f(-2). Let y = -35 - s. Factor -4*g**2 + 8*g**2 + 8*g - 5*g - 2 - 4*g**3 - 2*g**4 + y*g**5 - g.
2*(g - 1)**3*(g + 1)**2
Let x = 28851/5 - 5770. Let y = -82 - -413/5. Factor -y*h**2 + 18/5*h**3 - x*h + 0.
h*(3*h - 1)*(6*h + 1)/5
Suppose -880/7 + 228/7*o - 2/7*o**2 = 0. Calculate o.
4, 110
Let q be 5*1/(-3) + 14/3. Let 96*z - q*z**3 - 20*z**3 - 25*z**2 - z**3 + 48 - 47*z**2 + 15*z**4 = 0. What is z?
-2, -2/5, 2
Factor -2/7*a**2 - 26/7*a - 60/7.
-2*(a + 3)*(a + 10)/7
Factor -27/8 + 1/4*s**3 + 3/2*s**2 - 1/8*s**4 - 9/4*s.
-(s - 3)**2*(s + 1)*(s + 3)/8
Let i be (15/2)/(4 + (-374)/136). Let j(l) be the second derivative of -2/3*l**2 + 0 - 40*l + 1/3*l**3 + 1/45*l**i + 1/18*l**4 - 1/10*l**5. Factor j(c).
2*(c - 2)*(c - 1)**2*(c + 1)/3
Let r(x) = 0*x + 2 + 0 + 2*x. Let b be r(0). Factor -b + 15*w**2 + 2 - 25*w**2 + 5*w.
-5*w*(2*w - 1)
Let m = -96 - -156. Factor 26*a**2 + 16*a**4 - 12*a**3 + 8*a + 10*a**2 + m*a**3.
4*a*(a + 2)*(2*a + 1)**2
Let o be 15/(-12) - -1 - (-648)/32. Factor o - 30*d**3 - 9*d**2 - 4*d**2 + 44*d**2 + 5*d**4 + 34*d**2 - 60*d.
5*(d - 2)**2*(d - 1)**2
Let o be -39*9/2*(-84)/(-63). Let i be (32/(-14))/(o/63). Let -24/13*u - i*u**3 + 30/13*u**2 - 8/13 = 0. What is u?
-1/4, 2
Let z = -113 - -115. Solve -17*p**4 - 16*p - 8*p**3 + 20*p**3 - 175*p**z + 15*p**3 + 114*p + p**5 + 66*p**3 = 0.
0, 1, 2, 7
Let v(k) = k**2 - 2*k. Let w = -190 + 188. Let d(o) = -5*o**2 + 142*o - 2312. Let m(y) = w*d(y) - 6*v(y). Factor m(f).
4*(f - 34)**2
Suppose 153 = -34*u + 561. Factor -6*v + 7*v + u*v + 2*v**2 - 3*v**2.
-v*(v - 13)
Suppose 44 = -63*r + 74*r. Factor 5*a**3 - 20 - 25*a + 2*a**3 - 5*a**3 - r*a**2 - 8*a + 7*a.
2*(a - 5)*(a + 1)*(a + 2)
Let m(y) be the third derivative of -y**5/15 - 172*y**4/3 - 686*y**3/3 + 9*y**2 + 7*y. Factor m(b).
-4*(b + 1)*(b + 343)
Suppose 8*d - 16 = -2*b + 10*d, -d = 4*b - 7. Let a be 1/(-5) + 22/10. What is m in 2*m**a + 2*m - b*m - 4*m + m = 0?
0, 2
Let j(s) be the second derivative of 0 + 2/39*s**6 + 16/39*s**3 + 62*s + 20/39*s**4 + 0*s**2 + 33/130*s**5 + 1/273*s**7. Let j(n) = 0. What is n?
-4, -1, 0
Let x(j) be the first derivative of -j**4 - 36*j**3 + 116*j**2 + 2034. Factor x(z).
-4*z*(z - 2)*(z + 29)
Let g be 6*12/(-1260) + (12 - (-780)/(-70)). Factor -g*i + 1/5*i**2 + 3/5.
(i - 3)*(i - 1)/5
Let m be 19/(-48)*(-30)/18. Let k = -7/16 + m. Let -2/9 + 2/3*d - 2/3*d**2 + k*d**3 = 0. What is d?
1
Let g = 3456 + -3453. Let l(m) be the first derivative of 0*m**4 + 0*m + 1/20*m**5 + 17 - 1/12*m**g + 0*m**2. Determine t so that l(t) = 0.
-1, 0, 1
Let c(a) be the second derivative of 8/9*a**3 - 2/9*a**4 + 1/60*a**5 + 0*a**2 + 34*a + 0. Solve c(s) = 0.
0, 4
Let y(m) be the second derivative of -2*m**7/21 + 10*m**6 - 1368*m**5/5 - 1444*m**4/3 - 166*m - 1. Find c such that y(c) = 0.
-1, 0, 38
Let u = 155402 - 777008/5. Factor u*y**2 + 16/5 - 12/5*y.
2*(y - 4)*(y - 2)/5
Let -20322/5*m**4 - 89304/5 - 162/5*m**5 - 836432/5*m - 671102/5*m**3 - 420734*m**2 = 0. What is m?
-61, -3, -2/9
Let x(u) be the second derivative of u**6/15 + 3*u**5/10 - u**4/2 - 7*u**3/3 + 6*u**2 - 1236*u. Factor x(f).
2*(f - 1)**2*(f + 2)*(f + 3)
Suppose -184*r = -185*r + l + 18, 5*l = 3*r - 86. Determine x so that -7/3*x + 0*x**r + 1/3*x**3 - 2 = 0.
-2, -1, 3
Let k(w) be the first derivative of -4*w**3/3 + 168*w**2 - 7056*w - 440. Let k(t) = 0. Calculate t.
42
Suppose v = -2718 + 2718. Let i(n) be the first derivative of 4 + v*n**2 - 2/5*n**5 + 0*n + 0*n**3 + 1/6*n**6 - 3/4*n**4. Find s such that i(s) = 0.
-1, 0, 3
Determine t so that 143/2 - 72*t + 1/2*t**2 = 0.
1, 143
Factor 0 + 537/4*h + 3/4*h**2.
3*h*(h + 179)/4
Let s(r) be the third derivative of -r**2 + 0 + 1/60*r**6 + 2/9*r**3 - 1/315*r**7 - 15*r - 1/90*r**5 - 1/12*r**4. Solve s(w) = 0 for w.
-1, 1, 2
Let a(d) = d**3 + 2*d**2 + 3*d + 648. Let m be a(0). Factor -12*k**3 - 242*k + 11*k**3 - m + 34*k**2 - 10*k.
-(k - 18)**2*(k + 2)
Let r(s) be the second derivative of -s**4/4 - 219*s**3/2 - 327*s**2 + 2730*s. Factor r(g).
-3*(g + 1)*(g + 218)
Let d be (-138)/(-184) - (-33)/(-60). Let o(y) be the second derivative of 1/5*y**2 + 0 + 20*y + d*y**3 + 1/15*y**4. Determine c, given that o(c) = 0.
-1, -1/2
Let b(n) be the third derivative of 4/3*n**4 - 14 - 1/15*n**6 + 0*n - 2/105*n**7 + 8/3*n**3 - 2*n**2 + 1/5*n**5. Factor b(v).
-4*(v - 2)*(v + 1)**2*(v + 2)
Let f be (-1 - 75/(-35))*(-14)/(-4). Find p, given that 21*p**2 - 556*p + 526*p + 7*p**3 - f*p**3 - 48 = 0.
-8, -1, 2
Let h = 702 + -703. Let x(r) = -r**4 - r**2 - 2*r - 1. Let g(v) = -2*v**4 - 12*v**3 - 14*v**2 + 20*v + 19. Let z(y) = h*g(y) + 5*x(y). Factor z(k).
-3*(k - 4)*(k - 2)*(k + 1)**2
Suppose 14*r - 6*r = 8. Suppose r = -3*s + 7. Factor 7*c**3 - 13*c**2 - c**4 + c + 14*c**s - 8*c**3.
-c*(c - 1)*(c + 1)**2
Factor -1195/2*c**2 - 472*c - 94 - 25/2*c**3.
-(c + 47)*(5*c + 2)**2/2
Suppose -42*o + 380039 = -31*o. Factor 12610*v**3 - 435*v**4 + o - 12615*v - 131796*v**2 + 87396 + 5*v**5 + 10286*v**2.
5*(v - 29)**3*(v - 1)*(v + 1)
Let f(q) be the second derivative of q**6/15 + 3*q**5/5 + 11*q**4/6 + 2*q**3 - 505*q. Solve f(n) = 0.
-3, -2, -1, 0
Let d(g) be the third derivative of -625*g**8/28 - 530*g**7/7 - 3109*g**6/40 - 159*g**5/10 - 9*g**4/8 - 678*g**2. What is t in d(t) = 0?
-1, -3/50, 0
Let u(z) be the second derivative of -3*z**5/14 + 37*z**4/14 - 2*z**3 - 24*z + 41. Factor u(j).
-6*j*(j - 7)*(5*