e w, given that -2/9*w**3 - 8/9*w**2 + 0*w + a = 0.
-4, 0
Let h = -1593 + 770. Let n = 826 + h. Find a such that 10/7*a**2 + 2/7*a**n + 6/7 + 2*a = 0.
-3, -1
Let r = -205/109 - -251122/123497. Let s = r - -3/103. Factor 6/11*v + s*v**3 + 10/11*v**2 - 18/11.
2*(v - 1)*(v + 3)**2/11
Let o(y) be the second derivative of -y**4/12 - 17*y**3/6 + 30*y**2 + y + 34. Let f be o(3). Let f*x - 1/3*x**2 + 4/3 = 0. Calculate x.
-2, 2
Suppose 1 = 3*c - 2, -11 = -2*p - 3*c. Let a be (5/(-3))/(p/(-12)). Factor 17*r**2 + 10 - 2*r**2 - a*r**4 + 7*r**3 - 2*r**3 - 25*r.
-5*(r - 1)**3*(r + 2)
Let q(t) be the first derivative of -t**4/8 + t**3 + 10*t**2 + 1392. Let q(n) = 0. What is n?
-4, 0, 10
Let -2*h**2 - 16/3*h + 0 + 1/3*h**3 = 0. Calculate h.
-2, 0, 8
Factor -91/4*f + 120 - 1/4*f**2.
-(f - 5)*(f + 96)/4
Let h be 1 - (-3 - ((-42)/6 + 3)). Factor -5 + h - 10 - v**2 + 23 + 2*v.
-(v - 4)*(v + 2)
Let k be 2756/(-1166)*165/(-150). Factor 50*y + 5*y**2 - 1/5*y**5 - 9*y**3 - k*y**4 + 0.
-y*(y - 2)*(y + 5)**3/5
Suppose -5*k - 134 = -174. Let z be ((-1)/k)/(20/(-40)). Factor z - y - y**3 + 1/4*y**4 + 3/2*y**2.
(y - 1)**4/4
Let b = 185 + -175. Let -72*o**2 + 38*o**2 - 12*o + b + 36*o**2 = 0. Calculate o.
1, 5
Suppose 21*g = -3*g + 792. Suppose g - 93 = -15*n. Find f such that f**5 - 5/2*f**2 + 0*f**3 + 5/2*f**n - f + 0 = 0.
-2, -1, -1/2, 0, 1
Let p = 607/7212 - 1/1202. Let o(k) be the second derivative of k**3 + 30*k + 0 + 9/2*k**2 + p*k**4. Let o(u) = 0. Calculate u.
-3
Let i(r) be the second derivative of -2*r**4 + 83*r**3/3 + 7*r**2 + 924*r + 5. Solve i(j) = 0 for j.
-1/12, 7
Let r(d) be the second derivative of 3*d**5/20 + 137*d**4/2 - 554*d**3 + 1668*d**2 - 182*d. Factor r(x).
3*(x - 2)**2*(x + 278)
Let l = -102788 - -102790. Find u such that -21/8*u**4 - 3/8*u**5 - 21/8*u**3 - 6 + 3*u + 69/8*u**l = 0.
-4, -1, 1
Let l(f) be the second derivative of 101*f - 56/15*f**3 + 1/15*f**4 + 0*f**2 + 0. Factor l(j).
4*j*(j - 28)/5
Suppose -25 = -4*g - g, 2*q + 4*g = -50. Let t(o) = o**2 + 32*o - 103. Let m be t(q). What is j in 0 + 4/7*j**m + 0*j - 2/7*j**5 + 6/7*j**3 + 0*j**4 = 0?
-1, 0, 2
Let b = 36 + -36. Suppose -5*y + 10 = m, -2*m = -b*y + 2*y - 12. Factor -10*s + m - s**2 - 10 - 4*s**2.
-5*(s + 1)**2
Let p be 4*189/(-72) + (-5 - -16). Let t(c) be the first derivative of 0*c - 8/3*c**6 - 33/4*c**4 + 8*c**5 + 10/3*c**3 - p*c**2 + 1. Factor t(j).
-j*(j - 1)**2*(4*j - 1)**2
Let w(z) = 33*z**3 - 153*z**2 + 321*z - 159. Let j(c) = 6*c**3 + c**2 - c + 1. Let v(n) = -6*j(n) + w(n). Factor v(u).
-3*(u - 1)**2*(u + 55)
Let o(x) be the first derivative of -2*x**5/15 - 98*x**4/3 - 8308*x**3/3 - 233428*x**2/3 + 3007630*x/3 - 5312. Solve o(u) = 0.
-67, 5
Let a(o) = -8*o**3 + 16*o**2 - 14*o + 2. Let l(m) = -m**2 - m. Let v = 102 + -100. Let q(x) = v*a(x) - 4*l(x). Find f such that q(f) = 0.
1/4, 1
Suppose -5*s + 1063 = 233. Solve -u**2 + 7*u + s + 156 - 334 = 0.
3, 4
Suppose 6*s - 22 = 5*s - 5*z, 0 = 2*z - 8. Find i, given that 3*i**4 + i**5 + 0*i**2 + 55*i**3 - 55*i**3 - 4*i**s = 0.
-2, 0, 1
Let -1251/5*p + 0 + 3/5*p**2 = 0. What is p?
0, 417
Let q(i) be the third derivative of 5*i**8/112 + 40*i**7/21 + 391*i**6/24 + 371*i**5/6 + 745*i**4/6 + 140*i**3 - 6538*i**2. Solve q(s) = 0 for s.
-21, -2, -1, -2/3
Factor 24264028*m - 18*m**2 - 124*m**3 - 24264028*m + 14*m**4.
2*m**2*(m - 9)*(7*m + 1)
Let w = 523896/7 + -74842. What is n in -6/7*n**3 - 8/7*n**4 + 10/7*n**2 + 6/7*n - w = 0?
-1, 1/4, 1
Factor 2/3*i**3 + 44/3*i**2 + 38/3*i - 28.
2*(i - 1)*(i + 2)*(i + 21)/3
Solve -21/2*u**2 - 5/2*u**3 + 33/2 - 7/2*u = 0 for u.
-3, -11/5, 1
Let n = 4098 + -4098. Let a(g) be the third derivative of -1/80*g**5 + n*g + 0*g**3 + 0*g**6 - 8*g**2 + 0 + 1/280*g**7 + 0*g**4. Factor a(b).
3*b**2*(b - 1)*(b + 1)/4
Suppose 305*v - 141*v = 130*v + 170. Let w(a) be the third derivative of -9*a**2 + 1/33*a**3 + 0*a**4 - 1/330*a**v + 0 + 0*a. Let w(p) = 0. What is p?
-1, 1
Suppose -30 = -2*i + 3*o, 2*i = -0*i + 4*o + 30. Suppose -2*d = -5*d + 6. Suppose -4 + 1 + 0 - i*l**3 + 15*l + 0 + 3*l**d = 0. What is l?
-1, 1/5, 1
Let t(c) = c**4 - c**3 - c**2 - c + 1. Let z(m) = 8*m**4 - 36*m**3 + 72*m**2 - 52*m + 4. Let y = -65 - -66. Let o(w) = y*z(w) - 4*t(w). Factor o(v).
4*v*(v - 4)*(v - 3)*(v - 1)
Let s be -3*(-64)/(-24) + -4. Let t be -3 - (-195)/10*s/(-54). Factor -1/3*b**5 + 2/3*b**4 + b**3 - t*b + 0 - 4/3*b**2.
-b*(b - 2)**2*(b + 1)**2/3
Let g(u) = 12*u**3 + 12*u - 21 + 3*u**4 - 36 + 98 + 9*u**2 - 35. Let o(k) = k**2 + 4*k + 1 - 2*k**2 - 3*k. Let s(y) = -g(y) + 6*o(y). Factor s(j).
-3*j*(j + 1)**2*(j + 2)
Let f = 307/4335 - 6/1445. Let v(p) be the third derivative of f*p**6 + 1/15*p**5 + 0*p + 0*p**7 + 6*p**2 - 1/168*p**8 + 0 - 2/3*p**3 - 1/4*p**4. Factor v(w).
-2*(w - 2)*(w - 1)*(w + 1)**3
Let l = 1119103/895308 - -8/223827. What is z in -3/2*z**2 - 1/4*z + 0 - l*z**3 = 0?
-1, -1/5, 0
Suppose -31*p - 19*p - 130*p + 720 = 0. Factor -34/5*a - 14/5*a**2 - p.
-2*(a + 1)*(7*a + 10)/5
Let b = -521670 - -3651700/7. Let -16/7*l**3 + b*l**4 + 0*l - 8/7*l**2 + 0 = 0. What is l?
-2/5, 0, 2
Let y = 366 - 374. Let h be (-5)/y - 2/16. Suppose -1/3*b + 0 - 1/6*b**3 + h*b**2 = 0. What is b?
0, 1, 2
Let m(z) be the first derivative of -18 - 9/2*z**2 - 5*z + 1/4*z**4 - z**3. Factor m(h).
(h - 5)*(h + 1)**2
Let f(c) = 11*c**2 + 10118*c + 9093251. Let t(d) = -15*d**2 - 13477*d - 12124335. Let n(l) = -22*f(l) - 16*t(l). Factor n(s).
-2*(s + 1741)**2
Let m = 84427/379800 + -3/42200. Find j such that 2/9*j**4 - 2/9*j**2 - m*j**5 + 2/9*j**3 + 0 + 0*j = 0.
-1, 0, 1
Let w(j) = 9*j**2 - 70*j + 108. Let x(i) = -74*i**2 + 560*i - 858. Let c(r) = -17*w(r) - 2*x(r). Solve c(n) = 0.
2, 12
Let y(q) be the first derivative of -17 - 15/2*q**2 - 1/24*q**4 + 0*q**3 + 1/40*q**5 - 1/240*q**6 + 0*q. Let o(s) be the second derivative of y(s). Factor o(t).
-t*(t - 2)*(t - 1)/2
Let t(p) = 12*p**3 + 217*p**2 + 855*p + 716. Let c(x) = -3*x**3 - 54*x**2 - 213*x - 180. Let s(d) = 11*c(d) + 3*t(d). Factor s(v).
3*(v + 1)*(v + 4)*(v + 14)
Let k(l) be the third derivative of -l**7/630 + l**6/9 + l**5/4 - 20*l**4/9 - 82*l**3/9 - 26*l**2 + 7*l + 1. What is t in k(t) = 0?
-2, -1, 2, 41
Let l(w) be the first derivative of 3*w**5/5 - 45*w**4/4 - 58*w**3 + 108*w**2 + 14027. Let l(t) = 0. Calculate t.
-4, 0, 1, 18
Let k be 6/(-3)*(-12)/8. Determine v so that 13*v**2 - 29 - k*v**3 - 16 + 7*v**2 - 47*v**2 - 69*v = 0.
-5, -3, -1
Let b(j) be the third derivative of -j**7/945 - 7*j**6/135 + 29*j**5/270 + 2917*j**2. Factor b(t).
-2*t**2*(t - 1)*(t + 29)/9
Let s(g) be the first derivative of 3*g**5/5 - 7*g**3 + 9*g**2 + 186. Let s(v) = 0. Calculate v.
-3, 0, 1, 2
Let g(k) be the first derivative of -k**4/10 + 728*k**3/15 - 145*k**2 + 724*k/5 + 2426. Factor g(b).
-2*(b - 362)*(b - 1)**2/5
Suppose -217 = 2077*a - 2244*a + 284. Determine u, given that -16/3*u**2 + 4/3*u**5 + 4*u**a + 0 - 16/3*u + 16/3*u**4 = 0.
-2, -1, 0, 1
Let y(c) = -9*c**2 - 1182*c + 1197. Let r(u) = -16*u**2 - 2365*u + 2392. Let h(t) = -6*r(t) + 11*y(t). Determine a, given that h(a) = 0.
1, 395
Let p(q) be the second derivative of 2/13*q**2 + 1/78*q**4 + 26 - q - 1/13*q**3. Factor p(v).
2*(v - 2)*(v - 1)/13
Let b be -17 - 1388/15*(-507)/2028. Suppose b - 2/15*j**2 - 14/5*j = 0. Calculate j.
-23, 2
Find p such that 1808/5*p - 4/5*p**2 - 204304/5 = 0.
226
Let y(i) be the third derivative of -4*i**7/21 - 173*i**6/60 + 997*i**5/15 + 1349*i**4/12 + 70*i**3 + 11361*i**2. Determine k so that y(k) = 0.
-15, -2/5, -1/4, 7
Suppose -5*u + 774 = 2*h, -2*u = -0*u - 3*h - 321. Suppose 2*g**2 - 57 + g**2 - u*g + 210*g = 0. What is g?
-19, 1
Let n(o) = o**2 - 34*o - 103. Let g be n(37). Find d, given that 640*d - 139*d**2 + 90*d**3 - 96*d**2 - g*d**4 + 3*d**4 - 245*d**2 = 0.
0, 2, 8
Let s = -3 - -6. Let -3*u**2 - 2*u - 5 + 33*u**3 - 66*u**3 - 7*u + 34*u**s = 0. What is u?
-1, 5
Factor -1/3*n**2 - 68/3*n - 160.
-(n + 8)*(n + 60)/3
Let p(l) be the second derivative of 0 + 1/3*l**3 + 0*l**2 + 1/24*l**4 + 123*l. Determine s so that p(s) = 0.
-4, 0
Let x(n) be the third derivative of -n**7/315 + n**6/180 + 17*n**5/45 + 14*n**4/9 - 1480*n**2. Solve x(f) = 0.
-4, -2, 0, 7
Let h = 2372 - 608. Let v be 7 + h/(-99) + 11. Let v + 6/11*s**2 + 2/11*s**3 + 6/11*s = 0. Calculate s.
-1
Let i(f) be the second derivative of -f**7/168 + 11