*p**7 + 45*p**2. Let s(t) = 0. What is t?
0, 1
Suppose 14*q + 5*a - 2071 = 12*q, 2062 = 2*q - 4*a. Let z = 2067/2 - q. Determine w so that -7/4*w**2 + 1/2*w + 0 + 3/4*w**4 + z*w**3 = 0.
-2, 0, 1/3, 1
Factor -108328*d - 130*d**3 + 17269*d + d**4 + 5904*d**2 - 13163*d + 482447.
(d - 41)**3*(d - 7)
Let h(u) = -30*u**3 - 175*u**2 - 454*u - 25. Let i(w) = 2*w**3 - w**2 - w. Let b(q) = -h(q) - 6*i(q). Factor b(y).
(y + 5)**2*(18*y + 1)
Factor 0 + 89/3*d**4 + 7921/6*d**3 + 0*d + 0*d**2 + 1/6*d**5.
d**3*(d + 89)**2/6
Factor -1092 - 152*t + 155*t - 758 + 613*t + 1230 + 4*t**2.
4*(t - 1)*(t + 155)
Let p = 2399/140616 - -2/2511. Let v(n) be the second derivative of -15*n - 1/40*n**6 + 0*n**4 + 0 + 0*n**3 + 0*n**5 - p*n**7 + 0*n**2. Factor v(x).
-3*x**4*(x + 1)/4
Suppose 11 = 2*z - 9. Suppose -1 = -q - f, -3*f - 12 = f. Factor 9*j**3 + 5*j**5 - 3*j**4 + 15 - z*j**2 - 39*j**3 - 2*j**q + 25*j.
5*(j - 3)*(j - 1)*(j + 1)**3
Let y = 644 - 624. Suppose 3*b = 2*j + 3*j - y, 5*j = 4*b + 20. Factor 0*q - 3/2*q**3 + 1/2*q**j + 0 + 0*q**2.
q**3*(q - 3)/2
Let w = 619/1485 + 28/55. Let b = 43/27 - w. Let 16/3 - 4*c**2 - 8/3*c + b*c**4 + 2/3*c**3 = 0. What is c?
-2, 1, 2
Let w be 165/(-110)*28/(-21). Let z(n) be the second derivative of -4/51*n**3 - 4/17*n**w - 39*n + 1/102*n**4 + 0 + 1/170*n**5. What is t in z(t) = 0?
-2, -1, 2
Let c(a) be the second derivative of 17*a + 0 - 1/24*a**4 - 1/15*a**3 - 1/100*a**5 + 3/2*a**2. Let m(r) be the first derivative of c(r). Solve m(v) = 0 for v.
-1, -2/3
Let u = 3 + -1. Determine a, given that 8*a**3 - 14*a**2 + 11*a**u + 7*a**2 + 5*a**4 - a**5 + 2*a**5 = 0.
-2, -1, 0
Let m be (13897/(-4276))/((-1)/10). Solve 7*b**2 - 1/2*b**3 - m*b + 50 = 0 for b.
4, 5
Let s be ((-29)/((-87)/155682))/((-4)/(-6)). Factor -162*o**2 + 2413071 - s*o + 182*o**2 + 817*o**2 - 3*o**3.
-3*(o - 93)**3
Let s be 129/24 - (-9 - (-375)/40). Suppose 0 = 16*b + s*b - 63. Determine f, given that -6/11*f + 6/11*f**b - 2/11*f**4 - 2/11*f**2 + 4/11 = 0.
-1, 1, 2
Let b(x) be the first derivative of x**4/16 - 387*x**3/4 + 336399*x**2/8 + 337561*x/4 - 1154. Factor b(g).
(g - 581)**2*(g + 1)/4
Let s(t) = -23*t**3 - 205*t**2 + 9*t - 79. Let f be s(-9). Factor 16/3*k + 2/9*k**3 + 0 - 22/9*k**f.
2*k*(k - 8)*(k - 3)/9
Let a be (3 - -1)/(135/(-147) - -1). Let p be 2*(-7)/a*7/(-5). Factor p*l**2 + 6/5*l + 0.
2*l*(l + 3)/5
Solve -5 - 739/4*z**3 - 46*z - 371/4*z**4 - 581/4*z**2 - 49/4*z**5 = 0.
-5, -1, -2/7
Let x(k) be the third derivative of -11*k**6/120 + 3*k**5/20 + 9*k**4/8 - 16*k**2 + 5*k. Let m(d) = -2*d**3 + d. Let w(y) = 5*m(y) - x(y). Factor w(t).
t*(t - 11)*(t + 2)
Let s(v) be the third derivative of 0*v + 1 + 37*v**2 + 3/5*v**5 + 0*v**3 + 1/105*v**7 + 19/60*v**6 + 0*v**4. Factor s(l).
2*l**2*(l + 1)*(l + 18)
Let v(a) = 4*a**3 + 4*a**2 - 584*a - 2. Let j(l) = -9*l**3 - 5*l**2 + 1160*l + 5. Let i(d) = 2*j(d) + 5*v(d). Factor i(y).
2*y*(y - 15)*(y + 20)
Let a(y) be the first derivative of -y**6/3 - 8*y**5/5 - y**4 + 8*y**3/3 + 3*y**2 + 683. Find r such that a(r) = 0.
-3, -1, 0, 1
Let t(l) be the third derivative of 1/490*l**7 + 0*l**3 - 9*l + 0*l**6 + 2*l**2 + 0 - 2/7*l**4 - 3/35*l**5. Let t(c) = 0. What is c?
-2, 0, 4
Let v(h) be the first derivative of -h**3/8 - 231*h**2/16 + 1173. Suppose v(y) = 0. What is y?
-77, 0
Let s be (17 + 5678/(-306))*(-1)/7. Factor -4/9 + s*m**3 - 2/3*m + 0*m**2.
2*(m - 2)*(m + 1)**2/9
Let v(l) be the second derivative of -3*l**5/10 - 41*l**4/3 + 19*l**3 + 28*l**2 + 1377*l. Factor v(p).
-2*(p - 1)*(p + 28)*(3*p + 1)
Let v(n) be the first derivative of -12*n**3 + 1617*n**2/10 + 27*n/5 - 1995. Solve v(i) = 0 for i.
-1/60, 9
Find l such that -233/3*l**4 - 19061833/3 - 1/3*l**5 - 19102/3*l**3 - 623566/3*l**2 - 6229601/3*l = 0.
-73, -7
Solve 574/5*z**2 + 18*z**4 + 1/5*z**5 + 663/5*z**3 + 0*z + 0 = 0.
-82, -7, -1, 0
Let -628/11*i**3 + 5054/11 - 8688/11*i**2 - 34124/11*i - 14/11*i**4 = 0. What is i?
-19, -7, 1/7
Let j(s) be the first derivative of -139*s**5/30 - 23*s**4/2 + 143*s**3/18 + 23*s**2 - 2*s/3 + 4104. Find g such that j(g) = 0.
-2, -1, 2/139, 1
Let y(b) be the third derivative of b**7/70 - 39*b**6/40 + 177*b**5/20 - 241*b**4/8 + 51*b**3 + 5903*b**2. Factor y(o).
3*(o - 34)*(o - 3)*(o - 1)**2
Determine g, given that 1/5*g**3 + 246/5*g - 216/5 - 31/5*g**2 = 0.
1, 12, 18
Let w(d) = -24*d + 204. Let h be w(6). Suppose 69 - 326*k**2 + 268*k**3 + 480*k - 204*k**2 - 229 - 3*k**3 - h*k**4 + 5*k**5 = 0. What is k?
1, 2, 4
Determine r so that 1/10*r**2 - 719/5*r + 516961/10 = 0.
719
Let d(u) = -u**3 - 41*u**2 - 79*u - 36. Let z be d(-39). Let b(i) = i**2 - i - 4. Let r be b(-2). Factor -w**z + 1196*w - 2*w**2 + w**r - 1194*w.
-w*(w - 1)*(w + 2)
Let f(p) be the first derivative of -p**3/5 - 942*p**2/5 - 3756*p/5 - 2467. Let f(o) = 0. Calculate o.
-626, -2
Let g = -72 - -92. Suppose -h = h - 16. Factor 21*c**3 - h*c**3 - c**3 - 4*c**5 + 8*c + 2*c**4 + 2*c**4 - g*c**2.
-4*c*(c - 1)**3*(c + 2)
Suppose -476/3*a**3 + 49/3*a**4 - 346/3*a - 8 - 1315/3*a**2 = 0. What is a?
-2, -1/7, 12
Let y be (-3 + 0)/(12/(-1080)). Suppose h - y = -4*h. Factor 4*p + h*p**2 - 2 - 104*p**2 + 56*p**2.
2*(p + 1)*(3*p - 1)
Let x(h) = -190*h**2 - 490*h + 125. Let c(r) = 21*r**2 - 1. Let l(f) = -5*c(f) - x(f). Determine w so that l(w) = 0.
-6, 4/17
Let x(o) = -o**4 + 12*o**3 + 9*o**2 - 4. Let f(m) = m**4 - 9*m**3 - 7*m**2 + 3. Let a(y) = -4*f(y) - 3*x(y). Factor a(h).
-h**2*(h - 1)*(h + 1)
Let p(j) be the third derivative of -j**6/540 + j**5/45 - j**4/12 - 61*j**3/3 - 2*j**2 - 7*j. Let w(l) be the first derivative of p(l). Solve w(u) = 0 for u.
1, 3
Let h(a) = -a**4 + 124*a**3 - 1748*a**2 + 7292*a - 9972. Let f(s) = s**4 - 247*s**3 + 3491*s**2 - 14585*s + 19947. Let k(d) = -4*f(d) - 7*h(d). Solve k(u) = 0.
-52, 4
Factor 3/8*k**2 + 21/8 - 3*k.
3*(k - 7)*(k - 1)/8
What is d in 120 - 8*d + 101*d**2 + 66*d**2 + 99*d + d**3 - 195*d**2 = 0?
-1, 5, 24
Suppose 46*y - 126 = -a + 32*y, -y = a - 9. Factor 4/7*v**2 + a*v - 2/7*v**3 + 0.
-2*v**2*(v - 2)/7
Suppose 0 = -4*y + 59 - 11. Let o be 6 + y/(-9)*3. What is u in 67*u - 137*u + 75*u + 5*u**o = 0?
-1, 0
Suppose 5*n = 4*n - 3*y - 2, 0 = 3*y + 15. Factor -10*a + 4*a**2 + a + 13 - 21 + n*a.
4*(a - 1)*(a + 2)
Let i(t) be the third derivative of -t**5/270 - 37*t**4/108 - 28*t**3/3 - 1958*t**2. What is p in i(p) = 0?
-28, -9
Determine d so that 40/13 - 12/13*d**3 + 48/13*d - 2/13*d**2 - 2/13*d**4 = 0.
-5, -2, -1, 2
Let d = -2399 + 331193/138. Let s = d - 13/46. Factor 0 + 0*o - 2/3*o**2 + s*o**3.
2*o**2*(o - 1)/3
Suppose -902*y + 30382 + 63250 = 162*y. Factor y*f**3 - 1/3*f**4 - 8712*f**2 - 6324912 + 383328*f.
-(f - 66)**4/3
Let b = 667995 - 667993. Factor -28/3*v - 16/3 - 10/3*v**b.
-2*(v + 2)*(5*v + 4)/3
Let h(m) = m**3 - 592*m**2 - 23567*m - 120899. Let t(i) = 4*i**3 - 2072*i**2 - 82484*i - 423138. Let b(u) = -18*h(u) + 5*t(u). Factor b(s).
2*(s + 6)*(s + 71)**2
Let p(c) be the second derivative of 5*c**4/42 - 13*c**3/21 + 6*c**2/7 + 2*c - 593. Find z, given that p(z) = 0.
3/5, 2
Let g(h) be the second derivative of -5*h**4/12 - 425*h**3/3 + 855*h**2/2 - 3044*h. Solve g(t) = 0 for t.
-171, 1
Let d = -77 + 75. Let g be (d - (-77)/22)*2. Find c such that 0*c - 8/9*c**2 + 0 - 16/9*c**4 - 20/9*c**g - 4/9*c**5 = 0.
-2, -1, 0
Let h = 2541 - 1610. Let q = -931 + h. Determine x, given that -1/2*x**3 + 0 + 0*x**2 + q*x + 1/2*x**4 = 0.
0, 1
Suppose 3*u = -0*b + 4*b + 970, 0 = -12*u - 2*b + 3970. Let a be u/(-132)*4/(-5). Factor 2/11*k**3 + 10/11*k - 8/11*k**a - 4/11.
2*(k - 2)*(k - 1)**2/11
Let r(i) = -i**2 - 6*i + 43. Suppose -34*a + 15*a - 190 = 0. Let x be r(a). Find f such that -2/11*f**2 + 2/11*f**x + 0*f + 0 = 0.
0, 1
Suppose 2*f - 4*n + 64 = 120, -2*f = -5*n - 69. Let z be 12/9*3/13. Factor 6/13*r**f - z*r + 0 - 2/13*r**3.
-2*r*(r - 2)*(r - 1)/13
Let h(v) = v**3 + 4*v**2 + 10*v + 55. Let m be h(-4). Factor 181*b**4 - 3*b**2 - 15*b**3 - 361*b**4 - m*b**2 + 177*b**4.
-3*b**2*(b + 2)*(b + 3)
Suppose -4*j + 44 = -4*n, 2*j - 2*n - 2*n = 32. Suppose -j*m + 24 = -0*m. Suppose 11*r**3 + r - 5*r - 7*r**3 - m + 4*r**2 = 0. What is r?
-1, 1
Let y(t) be the second derivative of -t**8/672 - t**7/210 + t**5/60 + t**4/48 - 3*t**2 + t - 30. Let v(q) be the first derivative of y(q). Factor v(u).
-u*(u - 1)*(u + 1)**3/2
Let v(a) be the third derivative o