3*o**4 = 0.
-1, -4/5, 1
Let v(s) = s**2 - 17*s - 8. Let w be v(25). Suppose 0*q + q - 198 = 0. Factor 11*d - 13*d**2 + d**4 - w*d**3 - 3 + 0*d**4 - d**2 + q*d**3 - d**5.
-(d - 1)**4*(d + 3)
Suppose -341 = -2*g + 5*s + 628, -2*g = -2*s - 972. Let p = g - 479. Factor -8*o + 8 + p*o**3 + 1/2*o**5 - 7/2*o**4 - 4*o**2.
(o - 2)**4*(o + 1)/2
Let m be (-1)/((-2)/(-6)*3). Let o be 156 + ((-5)/m - 0). Find u, given that 161 + u**3 - o - 2*u**2 = 0.
0, 2
Let x(r) be the second derivative of -r**5/4 - 625*r**4/12 - 8245*r**3/2 - 299115*r**2/2 + 15*r - 145. Factor x(j).
-5*(j + 23)*(j + 51)**2
Let q(d) = -42*d - 30. Let o be q(-8). Determine m, given that 311*m**2 - 45*m - o*m**2 + 0*m = 0.
0, 9
Let l(f) = 10*f - 587. Let r be l(59). Let m(o) be the second derivative of 0*o**2 + 0 + o**5 - 10*o - 5/2*o**r - 55/12*o**4. Factor m(z).
5*z*(z - 3)*(4*z + 1)
Let v be (-520)/(-780) - 5/21. Find t, given that 0*t**2 + 6/7*t**3 + v*t**4 - 3/7 - 6/7*t = 0.
-1, 1
Let d(c) be the second derivative of c**5/20 - 7*c**4/4 + 49*c**3/2 - 25*c**2 + 4*c - 5. Let r(l) be the first derivative of d(l). Factor r(i).
3*(i - 7)**2
Factor 459/2 - 3/4*x**2 + 3/4*x.
-3*(x - 18)*(x + 17)/4
Let c(w) = 8*w - 3. Let a be c(0). Let n(m) = m**3 + 4*m**2 + 4*m + 5. Let t be n(a). Solve -5*z**t + 3*z - z + 12*z + 6*z - 15 = 0 for z.
1, 3
Suppose -429 = 11*q - 75*q - 173. Let l(n) be the second derivative of -1/42*n**q - 8*n - 6/7*n**2 + 1/3*n**3 + 0. Factor l(d).
-2*(d - 6)*(d - 1)/7
Suppose -35*t - 8280 = -58*t. Determine x so that 851*x**2 + 540 - x**3 + t*x - 776*x**2 + 6*x**3 = 0.
-6, -3
Let a(w) = 153*w + 2907. Let m be a(-19). Let j(r) be the second derivative of 25*r**2 + 15/2*r**3 + m - 5/12*r**4 + 24*r. Determine n so that j(n) = 0.
-1, 10
Let s = -176 + 219. Determine d so that 0*d**3 - s*d + 9*d - 11*d - 5*d**3 - 15*d - 65*d**2 = 0.
-12, -1, 0
Let c(f) = f**2 + 10*f + 24. Let a be c(-7). Let q be (-30)/18 - (-5)/a. Suppose q*i**2 + 0*i - 1/3*i**5 - 2/3*i**4 + 0 + i**3 = 0. What is i?
-3, 0, 1
Let n(p) be the third derivative of 0*p**3 + 0 + 0*p**4 - 1/350*p**7 + 3*p - 33*p**2 - 1/100*p**6 - 1/100*p**5. Factor n(s).
-3*s**2*(s + 1)**2/5
Let l(f) be the second derivative of 0*f**2 - 1/225*f**6 - 1/30*f**5 + 68*f - 1/15*f**3 - 7/90*f**4 + 0. Let l(r) = 0. Calculate r.
-3, -1, 0
Let 0 - 2/3*m**3 + 0*m + 2*m**2 = 0. Calculate m.
0, 3
Let a(l) be the second derivative of 0 + 5/12*l**4 - 45/2*l**2 - 15/2*l**3 + 1/4*l**5 - 193*l. Find i such that a(i) = 0.
-3, -1, 3
Suppose 841 = 10*k - 269. Let l be -1*k/(-18) - 33/22. Solve -10*m + l*m**2 - 2/3*m**3 + 6 = 0 for m.
1, 3
Let j = 14166 + -14166. Let x(d) be the second derivative of -1/34*d**4 - 1/17*d**2 + 4/51*d**3 + j - 10*d. Factor x(y).
-2*(y - 1)*(3*y - 1)/17
Find a, given that -7*a - 13/5*a**3 + 0 + 1/5*a**4 + 47/5*a**2 = 0.
0, 1, 5, 7
Suppose -2963 - 2969 = 15*d - 5962. Factor 1/5*l**d + 4/5*l + 0.
l*(l + 4)/5
Let k(b) = 4*b**2 + 199*b + 1913. Let h be k(-13). Factor 38/3*l - 110/9*l**h - 242/9*l**3 - 2.
-2*(l + 1)*(11*l - 3)**2/9
Let c(t) be the first derivative of -t**5/50 + t**4/5 - 3*t**3/5 + 4*t**2/5 - 12*t - 20. Let n(k) be the first derivative of c(k). Solve n(m) = 0.
1, 4
Suppose 2*q = -4*j - 16, 212*q - 3*j = 211*q + 17. Suppose 6 = 5*b - 3*u, -2*b + u + 6 = 3. Factor -4*v + b*v**2 + 4*v**2 - 8*v**2 + 5*v**q - 8.
4*(v - 2)*(v + 1)
Let y = 14153/3157 + -1104/287. Determine i, given that -2/11 + y*i + 4/11*i**2 = 0.
-2, 1/4
Factor 2/3*t**2 - 3368/3*t + 1417928/3.
2*(t - 842)**2/3
Let w(r) be the first derivative of -76*r**3/9 - 48*r**2 + 64*r/3 - 1927. Determine t, given that w(t) = 0.
-4, 4/19
Let s(u) be the second derivative of -u**6/40 + 51*u**5/10 - 543*u**4/2 - 2380*u**3 - 7350*u**2 + 460*u. Solve s(v) = 0.
-2, 70
Let y(l) be the third derivative of 0 + 64*l - 1/420*l**6 + 1/210*l**5 + 0*l**3 + 1/42*l**4 - 2*l**2. Solve y(k) = 0.
-1, 0, 2
Suppose 11*l - 16*l + 320 = 0. Let w = l - 62. Factor -t**w - 8*t**5 + 2*t**4 + 9*t**5 - t**3 - t**4.
t**2*(t - 1)*(t + 1)**2
Suppose 14 = 4*k + 3*k. Suppose 15*o - 18*o + 33*o + 43*o**k + 3*o**3 - 10*o**2 = 0. What is o?
-10, -1, 0
What is r in 79/4*r**2 + 213 + 1/4*r**3 + 145*r = 0?
-71, -6, -2
Let b = -743931/2 - -371976. Suppose 3/4*o**3 - 54 - b*o**2 + 45*o = 0. Calculate o.
2, 6
Let l(x) = -14*x**3 - 30*x**2 + 1404*x - 40. Let w(j) = -5*j**3 - 10*j**2 + 468*j - 15. Let z(r) = -3*l(r) + 8*w(r). Factor z(h).
2*h*(h - 13)*(h + 18)
Let q(a) be the first derivative of 7744*a - 88*a**2 + 1/3*a**3 + 181. Factor q(m).
(m - 88)**2
What is g in -162/5 - 22*g**3 - 1/5*g**5 - 60*g**2 - 18/5*g**4 - 369/5*g = 0?
-9, -3, -2, -1
Let x(h) be the third derivative of 0*h + 37 + h**2 + 17/60*h**5 + 0*h**3 - 1/210*h**7 + 7/120*h**6 + 3/8*h**4. Factor x(w).
-w*(w - 9)*(w + 1)**2
Suppose 54 = -9095*a + 9113*a. Factor 0*l - 1/4*l**a + 3/2*l**2 + 0.
-l**2*(l - 6)/4
Let d(v) = 14 + 18 + 40 - 47 + v. Let s be d(0). Factor s*h + 31*h + 63 + 146 + 4*h**2 - 13.
4*(h + 7)**2
Factor -1645*h - 16*h**2 + 330*h - 144*h**2 - 5*h**3 - 185*h + h**3.
-4*h*(h + 15)*(h + 25)
Let j(g) be the second derivative of g**5/20 - g**4/6 - 65*g**3/2 - 2*g + 702. Factor j(h).
h*(h - 15)*(h + 13)
Let d(m) = -m**3 + 9*m**2 - 2*m + 7. Let q be d(6). Factor -q*y**3 + 101*y**3 + 7*y**2 + 11*y**2.
-2*y**2*(y - 9)
Let b(j) be the third derivative of j**5/120 - 269*j**4/6 + 289444*j**3/3 - 79*j**2 - 35*j. Factor b(w).
(w - 1076)**2/2
Suppose -18*h = 24*h - 32298. Let g = h + -765. Factor 2/3*p**2 - g + 10/3*p.
2*(p - 1)*(p + 6)/3
Let k(v) be the first derivative of 0*v + 82 + 10*v**2 + 12*v**3 + 3*v**4 - 4/5*v**5. What is s in k(s) = 0?
-1, 0, 5
Let q be (18/279 - (-99)/(-2015))/(15/150). Determine k, given that 22/13*k**2 + 2 - 50/13*k + q*k**3 = 0.
-13, 1
Suppose -7*y = 12*y - 209. Suppose -6*r + 34 = y*r. Factor 12*w**r - 271 - 9*w**3 + 271 - 3*w**4.
-3*w**2*(w - 1)*(w + 4)
Let c = -32944 - -32946. Factor 12 + 16/3*z**c + 2/3*z**3 + 14*z.
2*(z + 2)*(z + 3)**2/3
Let m(w) be the first derivative of -4*w**3/9 + 1772*w**2/3 - 784996*w/3 - 1693. Factor m(v).
-4*(v - 443)**2/3
Let f = 474 - 474. Let n(v) be the third derivative of 0*v**3 + 1/2*v**4 + 3/8*v**6 - 7/10*v**5 - 9/140*v**7 + 28*v**2 + f*v + 0. Solve n(t) = 0 for t.
0, 2/3, 2
Let t be 15 + ((-42432)/(-60))/(-52). Solve -t*u**2 + 0 + 7/5*u**4 + 0*u - 1/5*u**5 + 1/5*u**3 = 0 for u.
-1, 0, 1, 7
Let d(f) = 15*f**2 + 21*f + 54. Let s(a) = 28*a**2 + 43*a + 109. Let u be 180/(-32) + 12/(-32). Let h(z) = u*s(z) + 11*d(z). Let h(y) = 0. What is y?
-5, -4
Let q(s) be the second derivative of 0 - 24*s + 0*s**2 + 1/80*s**5 - 7/24*s**3 + 1/8*s**4. Factor q(f).
f*(f - 1)*(f + 7)/4
Let 0 + 121/3*v + 241/3*v**2 + 119/3*v**3 - 1/3*v**4 = 0. Calculate v.
-1, 0, 121
Let z(p) be the third derivative of -1/12*p**6 + 7 + 0*p + 11/15*p**5 - 24*p**3 - 3*p**2 + 1/4*p**4. Factor z(l).
-2*(l - 3)**2*(5*l + 8)
Suppose 4*a**5 - 40*a**4 - 39238*a**3 + 39302*a**3 - 4*a**2 + 4*a**2 = 0. What is a?
0, 2, 8
Suppose 0 = -4*x - 8, 0 = -5*b + 2*x + 11 + 8. Let z be 3 - (-6 + 11/(462/322)). Factor z*v + 4/3 - v**2 - 1/3*v**4 - 4/3*v**b.
-(v - 1)*(v + 1)*(v + 2)**2/3
Let 9/5*r**3 + 24*r + 69/5*r**2 - 48/5 = 0. Calculate r.
-4, 1/3
Let y(i) = 19*i**3 - 19*i**2 - 10*i + 4. Let r(v) = v**3 + 1. Suppose -2*c = -h - 6, -5*c + 13 = -14*h + 12*h. Let l(b) = c*y(b) - 4*r(b). Factor l(q).
q*(3*q - 5)*(5*q + 2)
Let p(y) be the third derivative of -y**7/630 + 11*y**6/360 + 7*y**5/30 + 3685*y**2. Suppose p(v) = 0. Calculate v.
-3, 0, 14
Let o(b) be the first derivative of 76 - 4/3*b + 1/3*b**3 + 1/24*b**4 - 1/3*b**2 - 1/30*b**5. What is l in o(l) = 0?
-2, -1, 2
Let h(i) be the third derivative of -961*i**6/60 + 1178*i**5/9 - 748*i**4/27 + 64*i**3/27 - 2*i**2 - 194. Determine f so that h(f) = 0.
4/93, 4
Let v(g) = -g**2 + 116*g - 3031. Let a(r) be the second derivative of r**3/6 - r**2/2 - 2*r - 26. Let p(y) = -30*a(y) + 5*v(y). Factor p(h).
-5*(h - 55)**2
Factor -1506*c - 472194*c**4 - 83665*c**2 - 1524264*c**3 - 9 + 30692*c**5 - 206308*c**5 + 1516482*c**4.
-(c - 3)**2*(56*c + 1)**3
Let v(h) be the second derivative of 10*h**7/63 + 64*h**6/45 - h**5/5 - 286*h**4/9 - 704*h**3/9 - 64*h**2 + 1009*h - 2. Suppose v(y) = 0. Calculate y.
-4, -1, -2/5, 3
Factor -28/3*a + 98 + 2/9*a**2.
2*(a - 21)**2/9
Suppose -502/9*d - 1/9*d**2 - 63