et t be (v/30*1)/((-4)/6). Let 1/4*s**4 + 1/4 - 1/2*s**2 - 3/4*s**t - 3/4*s + 3/2*s**3 = 0. Calculate s.
-1, 1/3, 1
Suppose -2*b + 17*j + 45 = 12*j, 2*j + 18 = 0. Find a such that -3/2*a**3 + b - 6*a + 16*a**2 - 5/2*a**4 = 0.
-3, 0, 2/5, 2
Suppose 3*l - 6 = -0*l. Suppose -39 = -6*z - 15. Let -z*p**l - 8*p + 5*p**2 + 0 - 3*p**2 - 8 = 0. Calculate p.
-2
Suppose 3*k = -4*k + 42. Let g = k + -2. Factor i**2 + 12*i**2 + 56*i**g - 4 + 71*i**3 - 12*i + 19*i**4 + 25*i**5.
(i + 1)**3*(5*i - 2)*(5*i + 2)
Determine r, given that -145*r**3 - 227*r**2 - 55*r**3 - 340 + 500*r + 195*r**3 + 72*r**2 = 0.
-34, 1, 2
Let b = -238 - -246. Find z, given that -2*z**3 + 0*z**3 - 12*z**2 + 12*z + 12 - 2*z**3 - b*z = 0.
-3, -1, 1
Let s(v) = -v**2 + 34*v - 204. Let h be s(26). Let i(l) be the second derivative of -3/20*l**5 - 1/10*l**6 + 23*l + 1/2*l**h + 0 + 0*l**2 + 0*l**3. Factor i(g).
-3*g**2*(g - 1)*(g + 2)
Let b(p) be the second derivative of -p**4/48 - 67*p**3 - 80802*p**2 + 12304*p. Determine m, given that b(m) = 0.
-804
Let p(s) = -19*s - 381. Let y be p(-18). Let n be (-3 - y)*(-8)/(-112). Find x, given that -2/7*x**5 - 96/7*x + 16*x**2 - 64/7*x**3 + n*x**4 + 32/7 = 0.
1, 2
Let v(x) be the first derivative of -x**8/2800 - x**7/350 - x**6/600 + 3*x**5/100 + 98*x**3/3 - 146. Let j(o) be the third derivative of v(o). Factor j(m).
-3*m*(m - 1)*(m + 2)*(m + 3)/5
Let c(i) be the second derivative of 3*i**5/140 - 4*i**4/7 + 65*i**3/14 - 75*i**2/7 + 515*i. Factor c(g).
3*(g - 10)*(g - 5)*(g - 1)/7
Let a(z) be the second derivative of z**7/14 - 2*z**6/5 - 9*z**5/4 + 5*z**4/2 + 22*z**3 + 36*z**2 - 74*z + 3. Find c such that a(c) = 0.
-2, -1, 2, 6
Let n(w) = 3*w**3 - 35*w**2 + 26*w - 24. Let i(o) = -o**2 - 5*o. Let c(d) = 5*i(d) - n(d). Factor c(p).
-3*(p - 8)*(p - 1)**2
Let y(n) = n**3 - 21*n**2 - 3*n + 73. Let a be y(21). Suppose -a*o = -17*o + 14. Factor -8/3*z + 8 + 2/9*z**o.
2*(z - 6)**2/9
Let p = -41341/2 + 124025/6. Factor -10*l + 0 + p*l**2.
l*(l - 30)/3
Let x(y) be the first derivative of -y**8/4032 + y**7/840 + y**6/144 - 88*y**2 + 78. Let o(l) be the second derivative of x(l). Factor o(r).
-r**3*(r - 5)*(r + 2)/12
What is n in 85/3*n**4 + 0 - 55*n**3 - 265/3*n**2 - 5*n = 0?
-1, -1/17, 0, 3
Suppose 3*s + 2*p = 6*p + 23, s = -3*p - 1. Suppose s*l = 21*l + 14*l. Let -2/5*d**3 + l*d + 0 - 4/15*d**2 = 0. What is d?
-2/3, 0
Let b = -33 - -43. Let w be (-4)/6*(-45)/b. Factor g + 4*g - w*g - g**4 + 611*g**2 - 616*g**2 + 4*g**3.
-g*(g - 2)*(g - 1)**2
Suppose -12*g = 12*g - 8*g + 21*g. Let p(f) be the first derivative of 1/10*f**5 + 1/2*f**3 + 1/4*f**2 + 30 + g*f + 3/8*f**4. Factor p(z).
z*(z + 1)**3/2
Determine f so that -867*f**4 + 207*f**4 - 1998*f**3 + 225*f - 894*f + 1394*f**2 - 3398*f**2 + 3*f**5 = 0.
-1, 0, 223
Let f be (-2)/(-18)*(7 - (-2590)/14)*4. Factor -2/3*x**3 - 64/3*x + f - 28/3*x**2.
-2*(x - 2)*(x + 8)**2/3
Let m = -65589 + 65592. Factor 2/7*u**m - 2*u**2 + 22/7*u - 10/7.
2*(u - 5)*(u - 1)**2/7
Let b(k) = 3*k**2 + k - 18. Let l be b(-8). Factor l*d**4 + 30*d - 20*d**3 - 175*d**4 - 22*d**3 + 21*d**2.
-3*d*(d - 1)*(d + 5)*(3*d + 2)
Factor -1/7*i**2 - 2883204/7 + 3396/7*i.
-(i - 1698)**2/7
Let m(h) be the first derivative of h**8/168 - h**7/35 + h**6/20 - h**5/30 - 77*h**2 - 1. Let a(y) be the second derivative of m(y). Factor a(z).
2*z**2*(z - 1)**3
Let h = 492 - -171. Let k = 1990/3 - h. Suppose 1/2 + k*d - 1/6*d**2 = 0. Calculate d.
-1, 3
Suppose 32*b - 8880 = -28*b. Suppose 0 = -150*p + b*p. Determine z so that p*z**2 + 1/5*z - 1/5*z**3 + 0 = 0.
-1, 0, 1
Suppose w - m = -0*m, m = -4*w + 15. Suppose 3*b - w = 6. Let -9*f**2 + 9*f**2 + b*f + 6 - 3*f**2 = 0. What is f?
-1, 2
Let g(y) be the first derivative of -1/6*y**3 - 139 - 3/4*y**2 - y. Factor g(o).
-(o + 1)*(o + 2)/2
Let y(g) = 4*g**3 - 36*g**2 + 39*g + 24. Let p(i) = -5*i**3 + 37*i**2 - 40*i - 16. Let f(x) = 5*p(x) + 6*y(x). Factor f(s).
-(s - 2)*(s + 1)*(s + 32)
Let u(t) be the third derivative of -83/10*t**5 - 361/210*t**7 + 39*t**2 + 0*t - 35/6*t**4 + 0 - 4/3*t**3 + 1007/120*t**6. Factor u(y).
-(y - 2)*(y - 1)*(19*y + 2)**2
Suppose 53*t - 47*t = 12. Suppose 0*u + 6 = t*u. Solve -8*z**2 - 13*z**4 + 38*z**4 + 4*z**u - 4*z**5 - 2*z**5 - 17*z**4 + 2*z = 0 for z.
-1, 0, 1/3, 1
Let u(g) be the third derivative of 7/48*g**4 - 1/6*g**3 + 0*g + 84*g**2 + 0 - 1/40*g**5. Let u(b) = 0. Calculate b.
1/3, 2
Let c be (-2)/(((-28)/(-6) + -2)/(14 + (-2688)/189)). Let f = -5/2 + 3. Determine x, given that -c*x**4 - 7/6*x**3 - 13/6*x**2 + 3 + f*x = 0.
-3, -2, 1
Let z(r) = -1109*r - 11088. Let c be z(-10). Suppose -4/5*f**5 - 8*f + 28/5*f**c + 44/5*f**3 - 32/5 + 4/5*f**4 = 0. Calculate f.
-2, -1, 1, 4
Let y = 8/51015 - -155084/10203. Let y*m + 1/10*m**2 + 2888/5 = 0. Calculate m.
-76
Let g(y) be the first derivative of -2*y**3/45 - 32*y**2/15 - 1334. Factor g(a).
-2*a*(a + 32)/15
Suppose -679*z + 668*z = -22. Let -57*f**z + 168*f**3 - 48*f**2 - 173*f**3 - 500 - 600*f = 0. Calculate f.
-10, -1
Let d = 1110 - 1110. Let p be (330/(-54) - -6)*-3*d. Suppose -1 + 1/4*h**2 + p*h = 0. Calculate h.
-2, 2
Let n = 55898/71115 - -4/2155. Let c(t) be the first derivative of -2/55*t**5 - n*t**3 - 72/11*t + 5/11*t**4 - 60/11*t**2 + 31. Factor c(o).
-2*(o - 6)**2*(o + 1)**2/11
Factor 50600*o + 1/6*o**3 + 1103/6*o**2 - 50784.
(o - 1)*(o + 552)**2/6
Let j(w) be the third derivative of -4*w**7/105 - w**6/10 - w**5/15 - 212*w**2. Factor j(p).
-4*p**2*(p + 1)*(2*p + 1)
Let 1/7*m**5 - 4/7*m**4 - 12/7*m**3 + 11/7*m + 6/7 - 2/7*m**2 = 0. Calculate m.
-1, 1, 6
Let w(g) = g**3 + 18*g**2 - 20*g - 16. Suppose 31 = -10*s - 159. Let z be w(s). Factor z*x**2 - 2 - 2*x**2 - 1 + 2.
(x - 1)*(x + 1)
Let w(v) be the first derivative of -3*v**5/10 + 7*v**4/6 - 4*v**2 + 130*v - 133. Let z(i) be the first derivative of w(i). Determine s so that z(s) = 0.
-2/3, 1, 2
Let i = 310096 - 4336205/14. Let s = i + -729/2. Solve 0*c - s*c**2 + 12/7*c**3 + 6/7*c**4 + 0 = 0.
-3, 0, 1
Suppose 375 = 11*d - 373. Let w be -100*(4 + d/(-16)). Determine g so that -30*g + w*g + 5*g**2 + 0*g**2 = 0.
0, 1
Let g(l) be the first derivative of -l**3 + 189*l**2 - 11907*l + 1361. Factor g(c).
-3*(c - 63)**2
Let l(g) be the second derivative of 9*g + 0*g**2 + 49/132*g**4 + 5*g**3 + 0 + 1/1980*g**6 - 7/330*g**5. Let b(m) be the second derivative of l(m). Factor b(k).
2*(k - 7)**2/11
Let k(v) = v**3 - 9*v**2 - 22*v + 9. Suppose 55 = 11*l - 66. Let s be k(l). Factor 46 + 5*j - 34 + s*j + j**2 + 37.
(j + 7)**2
Let t = -290/741 - -1349046/247. Factor -68/3*q**4 - 5632/3*q**2 + 2/3*q**5 + 16384/3*q - t + 896/3*q**3.
2*(q - 8)**4*(q - 2)/3
Let g(b) be the third derivative of b**7/420 - 137*b**6/48 + 4902*b**5/5 - 9747*b**4/4 - 2*b**2 + b - 452. Solve g(r) = 0.
0, 1, 342
Let d(k) be the third derivative of k**6/420 + k**5/210 - 11*k**4/28 + 3*k**3 + 737*k**2 + 2*k. Factor d(a).
2*(a - 3)**2*(a + 7)/7
Let r = 220957 - 1104781/5. Factor 4/5*a**2 + 68/5*a + 12 - r*a**3.
-4*(a - 5)*(a + 1)*(a + 3)/5
Let l(m) = -m**4 + 2*m**3 - m**2. Let i(h) = 9*h**4 - 18*h**3 - 3*h**2. Let a(w) = -i(w) - 6*l(w). Factor a(g).
-3*g**2*(g - 3)*(g + 1)
Let a be 2158/1287 + 0 + 8/(-36). Solve -a*x + 2/11*x**2 + 32/11 = 0.
4
Let t be 4392/732 - -2*(2 - 4). Solve -1/4*p**4 + 1/2*p**3 + 0*p + 0 - 1/4*p**t = 0 for p.
0, 1
Let j(c) be the second derivative of 3*c**5/100 - 13*c**4/60 + 8*c**3/15 - 2*c**2/5 - 954*c. Factor j(d).
(d - 2)**2*(3*d - 1)/5
Let l be (-55)/22*36/(-15). Let j be l + (-8 - 60/(-25)). Find a, given that 2/5*a**5 + 4/5*a + 0 + 2/5*a**2 - j*a**4 - 6/5*a**3 = 0.
-1, 0, 1, 2
Factor -30/11 + 14/11*n**2 + 14/11*n + 2/11*n**3.
2*(n - 1)*(n + 3)*(n + 5)/11
Let h(p) = -4*p**4 + 16*p**3 - 8*p**2 + 8*p + 24. Suppose 13*f - 2 = 11. Let q(l) = l**2 + 2. Let w(u) = f*h(u) - 12*q(u). Factor w(m).
-4*m*(m - 2)*(m - 1)**2
Let j = 616 - 541. Suppose -j + 73 = -u. Let 0 - 4/5*r**u + 0*r = 0. Calculate r.
0
Let i(z) be the third derivative of z**5/300 - 329*z**4/120 + 164*z**3/15 + 19*z**2 + 22. Let i(h) = 0. What is h?
1, 328
Let a(z) be the second derivative of -5*z**7/42 - 35*z**6/3 + 73*z**5 - 370*z**4/3 - 611*z + 11. Factor a(l).
-5*l**2*(l - 2)**2*(l + 74)
Let u(w) = 319*w**2 + 943*w + 947. Let b(v) = 84*v**2 + 236*v + 237. Let y(i) = 19*b(i) - 5*u(i). Factor y(f).
(f - 232)*(f + 1)
Let u(v) be the second