10/7*a + 0 + 2/7*a**3 - y*a**2.
2*a*(a - 5)*(a + 1)/7
Let z = 312143/7 + -44585. Factor 288/7 - 40/7*p**2 + z*p + 4/7*p**3.
4*(p - 6)**2*(p + 2)/7
Let t be (0 + 0 - 1/1)*(-59)/472. Find g, given that 0 + 1/2*g**2 + t*g**4 + 1/2*g**3 + 0*g = 0.
-2, 0
Let j(y) = y**2 + 36*y - 250. Let r = -456 - -462. Let f be j(r). Factor 3*l - 18/5 + 3/5*l**f.
3*(l - 1)*(l + 6)/5
Find b, given that -13095/2*b**2 - 2901/2*b**3 + 10125/4 - 399/4*b**4 - 9/4*b**5 + 22275/4*b = 0.
-15, -1/3, 1
Let u(x) be the first derivative of x**4/18 + 11*x**3/9 + 33*x + 217. Let t(a) be the first derivative of u(a). Factor t(k).
2*k*(k + 11)/3
Let 1078*z + 110*z**3 - 13868 - 3588*z**2 + 9896 - z**4 - 6378 + 28812*z - 16061 = 0. What is z?
1, 11, 49
Let b(s) be the first derivative of -5*s**6/42 + 29*s**5/35 - 19*s**4/28 - 125*s**3/21 + 78*s**2/7 + 36*s/7 - 834. Solve b(q) = 0.
-2, -1/5, 2, 3
Suppose -9*g - 16*g + 100 = 0. Suppose 0 = -g*o + 12, 0*o + 5 = -4*a + 3*o. Factor -a - 1/2*c**3 + 3/2*c + 0*c**2.
-(c - 1)**2*(c + 2)/2
Let o(c) = -3*c**3 + 2*c**2 + 23*c - 14. Let u(g) = 8*g**3 - 332*g**2 + 54 + 323*g**2 - 93*g + 4*g**3. Let q(y) = -9*o(y) - 2*u(y). Find f such that q(f) = 0.
-3, 1, 2
Let q be (5 - -5*(-236)/180)/((-410)/369). Factor q*c**2 + 9/5 - 3*c - 1/5*c**3.
-(c - 3)**2*(c - 1)/5
Let q be ((-69)/(69/10) + 70/4)*36/495. Determine d so that 10/11*d**2 + 0*d - 1/11*d**5 - q*d**4 + 0 - 3/11*d**3 = 0.
-5, -2, 0, 1
Find c such that 84*c**3 + 9*c + 0 + 111/2*c**2 = 0.
-3/8, -2/7, 0
Let a(l) = -8*l - 91. Let z be a(-12). Let c = -15 - -43. Factor -c + 5*m**3 + 28 - z*m.
5*m*(m - 1)*(m + 1)
Let c be -5 + -26 + (-17559525)/(-8995). What is d in -c - 2/7*d**2 + 328/7*d = 0?
82
Let o(y) = -4*y - 26. Let w be o(-6). Let f be -1 - 1 - (w + -3). Find h such that 2*h**2 - 3*h + f*h**3 - 2*h**3 + 6*h - 2*h = 0.
-1, 0
Let m(x) be the second derivative of -3*x**5/40 - x**4/4 + 255*x**3/4 - 15983*x. What is l in m(l) = 0?
-17, 0, 15
Let w(f) be the second derivative of -f**4/18 - 938*f**3/9 - 219961*f**2/3 + 3*f - 248. Factor w(x).
-2*(x + 469)**2/3
Let l(o) = -5*o**2 + 190*o + 390. Let y(n) = 4*n**2 + n - 4. Let m(x) = 2*l(x) + 2*y(x). Find f, given that m(f) = 0.
-2, 193
Let i(b) be the first derivative of -2*b**5/45 + 8*b**4/3 - 1144*b**3/27 - 64*b**2/3 + 512*b + 8579. Let i(d) = 0. Calculate d.
-2, 2, 24
Let r be -3*1/3 - 62. Let l = 64 + r. Let s(p) = -2*p**3 + p**2 - 2*p + 3. Let o(n) = n**3 - 1. Let z(x) = l*s(x) + 3*o(x). Find g such that z(g) = 0.
-2, 0, 1
Suppose -3*k + 19 - 124 = 0. Let x = k + 39. Suppose n**3 - 4 + n**3 + 3*n**4 - 6*n**2 - 4*n**4 - 10*n + 3*n**x = 0. Calculate n.
-1, 2
Let l(q) = 8*q**2 - 2023*q + 123060. Let h(m) = -4*m**2 + 1010*m - 61528. Let k(a) = -13*h(a) - 6*l(a). Suppose k(y) = 0. What is y?
124
Suppose 18*p - 19*p = -4. Factor -15*r**3 - 72*r**4 + 28*r + r**5 + 39*r**4 + 14*r**2 + 29*r**p - 24.
(r - 6)*(r - 1)**2*(r + 2)**2
Find m such that -3471*m**2 - 9108*m - 4707156 - 3469*m**2 + 6937*m**2 - 2205816 = 0.
-1518
Factor -56*d**3 - 42*d**2 + 56*d + 103*d - 120 + 59*d**3.
3*(d - 8)*(d - 5)*(d - 1)
Find a, given that -48/5*a + 136/5*a**2 - 288/5 - 4/5*a**5 - 16/5*a**4 + 28/5*a**3 = 0.
-3, -2, 2
Let w(p) be the first derivative of 4*p**3/3 + 280*p**2 - 950. Suppose w(v) = 0. What is v?
-140, 0
Let a(l) = 36*l**2 + 2*l - 6. Let n be a(3). Determine b so that 10*b**2 - n - 35*b - b + 17*b**2 - 28*b**2 = 0.
-18
Factor 19/4*b**2 - 21/2*b + 0 + 1/4*b**3.
b*(b - 2)*(b + 21)/4
Let j(v) be the second derivative of v**5/180 + 5*v**4/72 - 14*v**2 - 15*v. Let g(i) be the first derivative of j(i). Factor g(r).
r*(r + 5)/3
Determine g, given that -56/3*g + 10/3*g**4 + 1/3*g**5 + 0 + 5*g**3 - 50/3*g**2 = 0.
-7, -4, -1, 0, 2
Let n = -281199 + 1405999/5. Solve -2/15*j**2 + n*j - 6/5 = 0.
3
Let u(y) be the third derivative of -1/480*y**6 + 1/60*y**5 + 0 - 1/96*y**4 + 66*y**2 - 1/4*y**3 + 0*y. Factor u(l).
-(l - 3)*(l - 2)*(l + 1)/4
Let z(q) be the third derivative of -80/9*q**4 - 10/9*q**5 + 1/18*q**6 + 0*q - 94*q**2 + 1/63*q**7 + 0 - 1/1008*q**8 - 256/9*q**3. Factor z(r).
-(r - 8)**2*(r + 2)**3/3
Let d(u) be the second derivative of u**5/140 - 73*u**4/84 - 152*u**3/21 - 22*u**2 - 469*u. Let d(j) = 0. Calculate j.
-2, 77
Let s(d) be the third derivative of -d**5/330 - 43*d**4/132 + 4*d**3/3 + 457*d**2 + 5*d. Factor s(m).
-2*(m - 1)*(m + 44)/11
Let p(h) be the second derivative of -1 - 7/6*h**4 + 85*h + 0*h**2 + 2/3*h**3. Find t, given that p(t) = 0.
0, 2/7
Let d be 5 + 0*((-3)/15)/((-92)/(-115)). Factor 1/11*s**d + 0 + 36/11*s + 2/11*s**4 - s**3 - 12/11*s**2.
s*(s - 2)**2*(s + 3)**2/11
Let j be -1 + ((-1197)/(-459) - 6/9). Let v be (-2 - -5)/(19/((-418)/231) - -12). Factor -2/17 - 14/17*z**v + j*z.
-2*(z - 1)*(7*z - 1)/17
Suppose -7569/7 - 1/7*j**3 - 7743/7*j - 25*j**2 = 0. Calculate j.
-87, -1
Let p(s) be the second derivative of -s**5/20 + s**4/12 + 3*s**3/2 - 9*s**2/2 + 372*s + 1. Find n, given that p(n) = 0.
-3, 1, 3
Let l be 13/(-2) - 14/(-28). Let o = -4 - l. Solve -20*y**3 + 5*y**4 + 69*y**2 + 72*y**o - 121*y**2 = 0 for y.
0, 2
Let a be (-38)/7 - 66/12*120/(-110). Factor 12/7*v**2 - 12/7 + 4/7*v**3 - a*v.
4*(v - 1)*(v + 1)*(v + 3)/7
Let a be (-1 + 9)*((-21)/2 + 11). Let i be 6/(a - -2) + (-1)/2. Factor 1/5 - 1/10*g - 4/5*g**2 - i*g**3.
-(g + 1)**2*(5*g - 2)/10
Let j(d) be the first derivative of 55 - 1/4*d**4 + 1/5*d**5 + 5/2*d**2 - 2*d - d**3. Factor j(z).
(z - 1)**3*(z + 2)
Let h(k) be the third derivative of 0 + 1/20*k**5 - 55/4*k**4 + 3025/2*k**3 + 0*k - 8*k**2. Let h(z) = 0. What is z?
55
Suppose -45 = -2*v - 7*v. Suppose y = v*a + 12, y = 3*y - 2*a - 8. Factor -43 - 32*q - 1100*q**4 + 43 - 272*q**y - 500*q**5 - 840*q**3.
-4*q*(q + 1)*(5*q + 2)**3
Suppose t = n + 2171, -31*t - n + 10831 = -26*t. Solve -t*i**3 + 2163*i**3 + 32*i + 11 + 4*i**2 - 59 = 0 for i.
-3, 2
Let -288/7 - 2*w**2 - 1012/7*w = 0. Calculate w.
-72, -2/7
Let x = -44 + 48. Suppose -x*p = -0*p + k - 36, 2*p + 4*k = 18. What is r in -7 - 2*r**5 + 4*r**4 - 50*r**3 - 76*r**2 - 56*r - 20*r**4 - p = 0?
-2, -1
Let n(v) be the first derivative of -81/10*v**5 + 207/4*v**4 + 675/2*v - 93 + 1935/4*v**2 + 1/4*v**6 + 293*v**3. Solve n(i) = 0.
-1, 15
Let c be (-5)/(-6) - 54/81. Let u(d) be the first derivative of -9 + 1/2*d - 1/18*d**3 - c*d**2. Suppose u(h) = 0. Calculate h.
-3, 1
Let t(z) be the second derivative of -z**7/560 + z**6/60 - 3*z**5/80 + 11*z**3/6 + 42*z. Let a(l) be the second derivative of t(l). What is i in a(i) = 0?
0, 1, 3
What is d in -276*d**2 + 300*d + 3/5*d**4 + 0 - 123/5*d**3 = 0?
-10, 0, 1, 50
Find i, given that 20/23*i**2 - 48/23 - 2/23*i**3 + 8/23*i - 2/23*i**4 = 0.
-3, -2, 2
Let a(d) be the second derivative of 0*d**2 + 1/16*d**5 + 0*d**3 + 25/48*d**4 - 7*d - 9. Let a(k) = 0. What is k?
-5, 0
Let h(l) be the second derivative of l**8/840 + l**7/300 + l**6/450 - 9*l**3/2 + 34*l + 1. Let x(j) be the second derivative of h(j). Factor x(z).
2*z**2*(z + 1)*(5*z + 2)/5
Let c(u) = -u**2 - u - 1. Let g(n) be the second derivative of n**5/10 - n**4/6 + 7*n**3/3 + 3*n**2 - 5*n. Let a(t) = 6*c(t) + g(t). Factor a(m).
2*m*(m - 2)**2
Let i be 330/(-363) + -2 + (-1582)/(-385) - (-4)/10. Find w, given that 0 - i*w**2 - 2*w**4 + 0*w - 2/5*w**5 - 16/5*w**3 = 0.
-2, -1, 0
Let y be 195/3549*(-259)/(-4) - 5/4. Suppose 72/13 - 2/13*d**3 + y*d - 4/13*d**2 = 0. Calculate d.
-3, 4
Let b(x) = 2*x**2 + 49*x - 163. Let m be b(-27). Let j be ((-32)/20)/(-8) - m/10. Determine n so that -1/7*n**4 + 0 + 1/7*n**2 + 2/7*n**j - 2/7*n = 0.
-1, 0, 1, 2
Suppose 48 = 4*q + 8*q. Solve -92*o + 15*o**q - 40 - 22*o**4 - 60*o**2 - 4*o**3 + 11*o**4 = 0.
-2, -1, 5
Let k(v) be the third derivative of -8/15*v**6 - 2/15*v**7 - 1/168*v**8 + 0*v + 0*v**4 + 2*v**2 + 33 + 0*v**3 + 64/15*v**5. Suppose k(g) = 0. Calculate g.
-8, 0, 2
Suppose -4304*s + 4716*s = 824. Factor -7/3*d**2 + d**4 - d**3 + s*d + 1/3*d**5 + 0.
d*(d - 1)**2*(d + 2)*(d + 3)/3
Let i(o) be the first derivative of o**6/18 + 16*o**5/15 - 17*o**4/12 + 843. Factor i(r).
r**3*(r - 1)*(r + 17)/3
Let b(c) be the first derivative of -40*c**2 - 106 + 64*c + 4*c**3 - 1/5*c**5 + 5/4*c**4. Factor b(p).
-(p - 4)**2*(p - 1)*(p + 4)
Let v(x) be the first derivative of -x**6/36 + 331*x**5/30 - 38179*x**4/24 + 189665*x**3/2 - 1719900*x**2 + 12348000*x - 8052. Factor v(p)