1/2*p**4. Determine a so that f(a) = 0.
-7, 0
Suppose -3*h - 4 = -4*h. Let -46*v**3 - 17*v**h + 24*v + 56*v**2 + 19*v**4 + 4*v**4 = 0. Calculate v.
-1/3, 0, 2, 6
Let i = -263133/5 - -52627. Factor 0 + i*d**2 + 36/5*d.
2*d*(d + 18)/5
Factor -1174*c - 800*c + 367*c + 221*c - 24 - 1018*c + 1208*c**2.
4*(c - 2)*(302*c + 3)
Let s(r) be the third derivative of r**6/780 - 4*r**5/65 + 11*r**4/39 + 7*r**2 - 153*r. Determine w, given that s(w) = 0.
0, 2, 22
Let x(m) be the second derivative of m**6/180 - 13*m**5/30 - 277*m**4/72 - 113*m**3/9 - 19*m**2 + 85*m. Factor x(i).
(i - 57)*(i + 1)*(i + 2)**2/6
Let g(d) = -6*d**3 - 11*d**2 + 104*d + 134. Let b(h) = 3*h**3 + 3*h**2 - 51*h - 66. Let n(s) = 5*b(s) + 3*g(s). Factor n(f).
-3*(f - 3)*(f + 1)*(f + 8)
Let f(j) be the third derivative of 3249/10*j**3 + 0 + 57/20*j**4 + 1/100*j**5 - 13*j**2 + 4*j. Factor f(n).
3*(n + 57)**2/5
Let n = 85 - 83. Factor 2*t**3 + 12*t**n + 17*t - 2*t**3 - 5*t + 3*t**3.
3*t*(t + 2)**2
Factor -6589062 + 7236040*c - 1502*c**2 + 1073302 - 10523*c**2 + 5*c**3 - 1708260.
5*(c - 1202)**2*(c - 1)
Let d(i) be the second derivative of -i**4/90 + 52*i**3/45 - 676*i**2/15 + 387*i. Factor d(w).
-2*(w - 26)**2/15
Let n(w) be the second derivative of 0*w**3 + 2/7*w**2 + 1/140*w**5 + 6 + 1/70*w**6 - 1/294*w**7 - 1/12*w**4 + 6*w. Determine r, given that n(r) = 0.
-1, 1, 2
Let r(b) be the first derivative of -b**4/14 + 38*b**3 - 7581*b**2 + 672182*b - 1008. Factor r(l).
-2*(l - 133)**3/7
Suppose -19*n - 87 - 27 = 0. Let p be n/10 + 0 - (-51)/10. Solve -27/4 - 9/2*y**3 + p*y + 3/4*y**4 + 6*y**2 = 0 for y.
-1, 1, 3
Let d(c) be the first derivative of -1800/11*c + 60/11*c**2 - 33 - 2/33*c**3. Find k, given that d(k) = 0.
30
Let 43*a - 24 + 249 - 10*a**2 + 9*a**2 - 3*a = 0. What is a?
-5, 45
Let y(p) be the second derivative of 0*p**2 - 1/6*p**4 + 3*p**3 + 0 + 16*p. Factor y(x).
-2*x*(x - 9)
Let d be 2/3 - (-14)/6. Let w be d/(-18) + (-13)/(-6). Find m, given that -557*m**2 + 556*m**2 + w*m**4 - m**4 = 0.
-1, 0, 1
Suppose 16 = 2*a + 2*a, v - a = -19. Let y(b) = 20*b**3 - 25*b**2 + 15*b. Let m(z) = 5*z**3 - 6*z**2 + 4*z. Let i(p) = v*m(p) + 4*y(p). Factor i(k).
5*k**2*(k - 2)
Suppose -q + 3 = 3*i - 242, 4*q + 168 = 2*i. Suppose -16*o + i = 18. Suppose 2/17*g**5 - 4/17*g**o + 4/17*g**2 - 2/17*g + 0 + 0*g**3 = 0. Calculate g.
-1, 0, 1
Suppose -3*s + 0*s + 3 = 0. Let a be (1 - s - (2 - 1))*-2. Suppose 3*d**2 + d**a - 3*d**4 + d**4 - 2*d**2 = 0. What is d?
-1, 0, 1
Suppose -107 = -3*s - 101. Let v(o) = -o**3 + o**2 - 5*o + 17. Let d be v(s). Factor 2/21*h**d + 32/21*h - 8/7 - 2/3*h**2.
2*(h - 3)*(h - 2)**2/21
Suppose 2/5*y**3 - 80 + 24*y + 36/5*y**2 = 0. What is y?
-10, 2
Let k(s) = -44*s - 26. Let l be k(1). Let f = l - -1192/17. Suppose 6/17*m - 6/17*m**3 - 4/17 + 2/17*m**4 + f*m**2 = 0. What is m?
-1, 1, 2
Let b = 645 + -641. Suppose -4 + 7 + 6*s**2 - 9*s**b + 10*s - 14*s**3 + 2*s + 2*s**3 = 0. Calculate s.
-1, -1/3, 1
Let r(o) = -9*o**5 + o**4. Let t(k) = k + 60. Let f be t(-15). Let m(s) = -f*s**5 + 50*s**5 - 3 + 3 - s**4. Let x(z) = 5*m(z) + 3*r(z). Factor x(b).
-2*b**4*(b + 1)
Let q(h) be the second derivative of -5*h**4/33 - 59*h**3/66 + 3*h**2/22 + 2*h + 1045. Determine x, given that q(x) = 0.
-3, 1/20
Let m = -1167 + 599. Let b = m + 571. Factor -1/5*d**2 + 1/5 - 1/5*d**b + 1/5*d.
-(d - 1)*(d + 1)**2/5
Suppose 4*i + 0*i = -2*a, 5*a - i = 22. Let q = -1175 + 1189. Factor 5*x**4 + 2 - 11 - a*x + 4 + q*x - 10*x**3.
5*(x - 1)**3*(x + 1)
Let m = -355160/7 - -50532. Let x = m - -206. What is w in 18/7*w**2 - 10/7*w**4 - 2/7*w**5 + 0 - x*w**3 + 0*w = 0?
-3, 0, 1
Suppose -105/4*r**3 + 39/4*r**4 - 3/4*r**5 + 0 + 0*r - 147/4*r**2 = 0. What is r?
-1, 0, 7
Let o(z) = -z**3 - 4*z**2 - z - 8. Let v be o(-5). Let i(k) be the third derivative of 0 + v*k**2 - 1/30*k**5 + 5/24*k**4 + 0*k - 1/3*k**3. Factor i(l).
-(l - 2)*(2*l - 1)
Let m be (-4 + -9 - -4)/(-1). Let p be ((-3)/(2 + 1))/(m/(-18)). Solve 6*l + 12*l**p + 3*l - 14*l - 20*l**3 + 13*l = 0 for l.
-2/5, 0, 1
Suppose 0 = -22*q + 25*q + 4*r - 1, -4*r = -4*q + 20. Factor 16*g**4 + 45*g**2 - 33*g**q + 0 + 10*g**4 + 10 + 8*g**3 - 35*g - 21*g**4.
5*(g - 2)*(g - 1)**3
Suppose 27 = z + 6*r - 11*r, 3*z - 4*r - 26 = 0. Let i be 46/161*637/28. Factor 11/2*g - i*g**z - 1 + 2*g**3.
(g - 2)*(g - 1)*(4*g - 1)/2
Let j be 32/18 + (-9)/(243/(-6)). Let h(r) = r**2 + 45*r - 2. Let x(d) = -3*d**2 - 90*d + 5. Let i(t) = j*x(t) + 5*h(t). Find m such that i(m) = 0.
0, 45
Suppose 18/5*l**4 - 272/5 + 492/5*l - 1/5*l**5 - l**3 - 232/5*l**2 = 0. Calculate l.
-4, 1, 2, 17
Let p(z) be the first derivative of -2*z**5/5 + 5*z**4/2 + 64*z**3/3 + 36*z**2 + 4906. Factor p(q).
-2*q*(q - 9)*(q + 2)**2
Let u(y) = 0 - 2 + 2*y**2 + 8*y - 1 + 6 + 3. Let x be u(-3). Factor 6/5*t + x + 1/5*t**2.
t*(t + 6)/5
Let m be (15 - 3)/(1200/420). Let m*l + 18/5 + 3/5*l**2 = 0. What is l?
-6, -1
Suppose 32*h - 240 = 24*h. Suppose -6*y + 10*y**2 + 63 - h - 49 = 0. What is y?
-1, 8/5
Let h(d) be the first derivative of d**5/60 + 7*d**4/18 + 49*d**3/18 - 17*d + 246. Let u(a) be the first derivative of h(a). Factor u(r).
r*(r + 7)**2/3
Let d be (-1230)/(-250) - 5 - (6/45)/(35/(-6321)). Determine m so that m - 52*m**4 - d*m**5 + 0 - 11/2*m**3 + 11/2*m**2 = 0.
-2, -1/4, 0, 1/3
Let q(c) be the second derivative of c**6/1980 + c**5/10 + 65*c**4/132 + 62*c**3/3 + c**2 - 3*c + 6. Let a(n) be the second derivative of q(n). Factor a(u).
2*(u + 1)*(u + 65)/11
Let f(q) = -q**4 + 0*q**4 - 12*q**3 + 2*q**2 - q**4. Let n(i) = -i**3 - i**2. Suppose 27*v = -40*v + 67. Let u(p) = v*f(p) - 6*n(p). Solve u(r) = 0 for r.
-4, 0, 1
Let p(t) = t**4 + t**3 - 5*t**2 + t + 1. Let r(m) = -m**5 + 269*m**4 - 1344*m**3 + 1613*m**2 + 1073*m - 2139. Let y(j) = -3*p(j) - r(j). Factor y(z).
(z - 267)*(z - 2)**3*(z + 1)
Find j, given that 54/7 + 3/7*j**2 - 57/7*j = 0.
1, 18
Let q(i) be the first derivative of -40*i**3 + 0*i - 72 - 72*i**2 - 3/5*i**5 - 33/4*i**4. Let q(b) = 0. What is b?
-4, -3, 0
Let m(g) be the third derivative of 87/20*g**5 + 0 - 2523/8*g**4 + 120*g**2 + 0*g + 24389/2*g**3 - 1/40*g**6. Factor m(l).
-3*(l - 29)**3
Let v be (-1)/(-4)*2*0/5083. Solve 0*a + 9/2*a**2 + 75/4*a**3 - 27/4*a**4 + v = 0 for a.
-2/9, 0, 3
Let y = 221066 - 221066. Suppose y*r + 0 + 1/2*r**5 - 9/2*r**3 - 5/2*r**2 - 3/2*r**4 = 0. What is r?
-1, 0, 5
Let k(j) be the third derivative of -j**7/2415 - 7*j**6/276 + 601*j**5/690 - 1093*j**4/276 + 176*j**3/23 + 2499*j**2. Find h such that k(h) = 0.
-48, 1, 11
Let y(a) be the first derivative of -a**6/9 + 24*a**5 - 1910*a**4 + 589120*a**3/9 - 815360*a**2 + 4214784*a - 3549. Factor y(h).
-2*(h - 56)**3*(h - 6)**2/3
Let q(w) be the third derivative of w**7/7560 - w**6/1080 - w**5/120 - 31*w**4/3 + 255*w**2. Let i(z) be the second derivative of q(z). Solve i(l) = 0.
-1, 3
Suppose 0 = -5*v + 5*s + 35, 0 = -4*v - 71*s + 67*s + 4. Let w(b) = b**3 + 7*b**2 + 7*b + 6. Let j be w(-6). Factor 0 + j*a - 9/4*a**2 + 3/4*a**v + 3/2*a**3.
3*a**2*(a - 1)*(a + 3)/4
Let x(m) be the second derivative of m**4/6 - 64*m**3/3 + 63*m**2 + 2*m - 64. Factor x(v).
2*(v - 63)*(v - 1)
Let k(h) be the first derivative of -2*h**5/25 - 13*h**4/10 + 56*h**3/5 - 108*h**2/5 + 2153. Find p, given that k(p) = 0.
-18, 0, 2, 3
Let z(l) = -3*l + 17. Let b be z(4). Suppose 0 = b*p - 6 - 4. What is o in 0*o**2 - 5*o**3 - 86*o + 91*o + 0*o**p = 0?
-1, 0, 1
Factor 3/4*y**3 - 27/4*y**2 + 315/4 - 3/4*y.
3*(y - 7)*(y - 5)*(y + 3)/4
Let i(d) = -45*d**3 - 3590*d**2 - 71710*d - 68445. Let q(b) = -5*b**3 - 399*b**2 - 7967*b - 7605. Let z(y) = 4*i(y) - 35*q(y). Factor z(u).
-5*(u + 1)*(u + 39)**2
Find o such that 45*o + 3/7*o**2 - 642/7 = 0.
-107, 2
Let x(p) be the first derivative of -42 - 4/3*p**3 + 18*p**2 - 32*p. Factor x(u).
-4*(u - 8)*(u - 1)
Let u(d) be the third derivative of -2209/5*d**5 + 187*d**2 + 103823/60*d**6 + 0 + 0*d + 47*d**4 - 8/3*d**3. Let u(n) = 0. What is n?
2/47
Let b = -409 - -411. Factor -1656*a**3 - 24 + 8 - 2*a**4 + 12*a**b + 1654*a**3 + 8*a.
-2*(a - 2)*(a - 1)*(a + 2)**2
Suppose -2560*a - 5*a**4 + 8*a**4 - 6210*a**3 + a**4 - 528*a**2 + 3072 + 6222*a**3 = 0. What is a?
-8, 1, 12
Let b be ((-140)/40)/(2/(-4)) - 5. Factor 4*r**2 - r**2 - r**2 - 10*r + r**2 + 12 - r**b.
2*(r - 3)*(r - 2)
Suppose 4*t + 2*w = 3*t - 3, -11 = -3*t - w. Suppo