/i + (-1)/(30/(-476)). Let 6*p**4 + b*p**2 - 87/5*p**3 - 21/5*p - 3/5 = 0. What is p?
-1/10, 1
Let i(r) be the second derivative of 5*r**7/42 - 11*r**6/2 + 104*r**5 - 3040*r**4/3 + 5120*r**3 - 10240*r**2 - 3258*r. Factor i(m).
5*(m - 8)**4*(m - 1)
Let u(z) be the first derivative of -z**3/9 - 49*z**2/2 - 177. Factor u(f).
-f*(f + 147)/3
Let -3780 - 48992*u + 24888*u + 25379*u - 5*u**2 = 0. What is u?
3, 252
Let m(c) be the first derivative of -5*c**4/4 + 85*c**3/3 + 405*c**2/2 + 315*c + 282. Determine w, given that m(w) = 0.
-3, -1, 21
Let o(x) be the third derivative of -x**5/12 - 9095*x**4/12 - 16543805*x**3/6 - 8208*x**2. Factor o(d).
-5*(d + 1819)**2
Solve -36*j**3 - 8*j**4 + 8*j**2 - 4183*j**5 - 4185*j**5 + 8380*j**5 + 4*j**3 + 20*j = 0.
-1, 0, 1, 5/3
Let n(q) be the first derivative of -25/2*q**3 - 96*q - 47 - 60*q**2. Factor n(h).
-3*(5*h + 8)**2/2
Let r(i) be the second derivative of i**5/120 - i**4/12 - i**3/4 + 9*i**2/2 + 52*i - 20. Determine h, given that r(h) = 0.
-3, 3, 6
Let f(o) = -o**3 + 13*o**2 + 16*o + 12. Let q be f(14). Suppose 5*r = 5 + q. Find w, given that -8*w**3 - 10*w**2 + 23*w**2 - r*w**2 = 0.
0, 1/2
Let a(j) be the first derivative of j**5/10 + 13*j**4/8 + 29*j**3/6 - 13*j**2/4 - 15*j + 1555. Determine f so that a(f) = 0.
-10, -3, -1, 1
Suppose 3*i + 25 = 5*r, -24*r - 5 = -25*r - 2*i. Find h such that -r - 102*h**3 + 17 + 105*h - 3*h**5 + 78 + 39*h**4 + 57 - 186*h**2 = 0.
-1, 1, 7
Suppose 2360 = -34*h + 38*h. Factor -27 + 7 - 56*j**2 - 9*j**2 + 96*j + 4*j**4 + 593*j**3 - h*j**3.
(j - 2)**2*(j + 5)*(4*j - 1)
Find r such that -3*r**5 - 1024*r**2 - 9*r**4 + 1036*r**2 - 4*r**3 + 4*r**3 = 0.
-2, 0, 1
Suppose 0 = c - 0 - 5, 4*k - 4*c = -36. Let d(b) = 4*b**2 - 10. Let m(f) = 9 - 5*f**2 + 6 - 4. Let n(y) = k*m(y) - 6*d(y). Factor n(o).
-4*(o - 2)*(o + 2)
Find r, given that -121*r**2 + r**3 + 18*r**2 - 159*r - 554*r + 25947 + 36*r**2 + 32*r**2 = 0.
-27, 31
Let v be 1/(21/(-7)*(-4 - -2) - 0). Let a(x) be the second derivative of 6*x + v*x**3 + 0 + x**2 + 1/96*x**4. Find z, given that a(z) = 0.
-4
Let a = -13 + 16. Let z be (-4)/(-202) - 11968/(-89284). Factor 6/13*p**2 - 8/13*p**4 - 4/13*p + 8/13*p**a - z.
-2*(p - 1)**2*(2*p + 1)**2/13
Let p(g) be the first derivative of -g**4/22 + 542*g**3/33 + 1375. Factor p(u).
-2*u**2*(u - 271)/11
Let u(w) = -7*w**2 + 23*w + 7. Let s be u(3). Suppose s = 3*k + 2*j + 6, 5*j - 4 = -3*k. Factor 5/4*f + 1/4*f**k + f**2 + 1/2.
(f + 1)**2*(f + 2)/4
Let f be (13 + 0)*8 - 4. Factor f*t**2 + 92*t**2 + 102*t**2 - 312*t**2 - 54 + 54*t + 2*t**3.
2*(t - 3)**3
Let v(p) be the first derivative of 7/24*p**3 - 15*p - 17 - 1/16*p**4 + 3/4*p**2. Let q(s) be the first derivative of v(s). Solve q(n) = 0 for n.
-2/3, 3
Let f(t) be the first derivative of -83 + 2*t + 1/9*t**3 - 7/6*t**2. Determine z, given that f(z) = 0.
1, 6
Let h(x) = -x**2 + 6*x + 192. Let l be h(-11). Let u be l + (-1)/((-5)/(-15)). Find a, given that 3/2 - 5/4*a - 1/4*a**u = 0.
-6, 1
Let w(a) be the second derivative of a**7/420 + a**6/36 + a**5/30 - 2*a**4/3 + a**3/6 - 10*a**2 + 9*a. Let t(q) be the second derivative of w(q). Factor t(p).
2*(p - 1)*(p + 2)*(p + 4)
Solve 680650*l**2 - l**4 - l**3 + 4*l**3 + l - 680645*l**2 - 4 - 4*l = 0.
-1, 1, 4
Factor -36300 - 1/3*n**4 + 214/3*n**3 - 23540*n - 10789/3*n**2.
-(n - 110)**2*(n + 3)**2/3
Let s = 151102 - 151100. Let 4/5*c**s + 80 + 16*c = 0. Calculate c.
-10
Let o = -2/287645 - -1125842608/11218155. Let k = 302/3 - o. Suppose -2/13*f**3 + 0*f**2 + 0*f + k*f**4 + 0 - 2/13*f**5 = 0. Calculate f.
0, 1
Solve 24/5*y**3 - 144 - 672/5*y + 3/5*y**4 - 24*y**2 = 0.
-10, -2, 6
Let a be (-1)/(-8)*-10*144/(-540). Factor -a*r**2 + 8/3 + 7/3*r.
-(r - 8)*(r + 1)/3
Let y(v) be the first derivative of -v**6/900 - v**5/60 + 2*v**4/5 - 41*v**3/3 + 116. Let m(c) be the third derivative of y(c). Solve m(i) = 0.
-8, 3
Let w(x) be the third derivative of -2*x**7/735 - 23*x**6/210 - 4*x**5/7 + 2*x**4/21 + 160*x**3/21 + 8*x**2 + 3*x + 8. Find v, given that w(v) = 0.
-20, -2, 1
Let a(t) be the second derivative of t**4/21 - 4864*t**3/21 + 2957312*t**2/7 - 4729*t. Find s such that a(s) = 0.
1216
Let y be (-150)/(-105)*84/8. What is a in 32*a**2 - y + 7 - 4*a**3 + 10 + 21 - 80*a + 41 = 0?
2, 4
Let b(v) = -v**3 - v**2 - 9*v - 269. Let h be b(0). Let d = h + 1347/5. Factor -2/5*s**4 + 16/5*s - 64/5 + 56/5*s**2 + d*s**5 - 28/5*s**3.
2*(s - 2)**3*(s + 1)*(s + 4)/5
Let p(s) = -8*s**2 - 522*s - 2945. Let x be p(-59). Let -1/3 + 1/3*i**x + i**4 - 2/3*i**2 + 2/3*i**3 - i = 0. What is i?
-1, 1
Suppose 400*l - 154 = 391 + 1855. Factor -9/4*f**2 - l*f**3 + 0*f + 0 - 13/4*f**4 - 1/2*f**5.
-f**2*(f + 3)**2*(2*f + 1)/4
Let b(y) be the second derivative of y**6/30 + 3*y**5/10 + 11*y**4/12 + y**3 - 3717*y. Find m such that b(m) = 0.
-3, -2, -1, 0
Let s(a) be the second derivative of 49/6*a**2 - 2 + 3/40*a**5 - 3*a + 413/36*a**3 - 31/18*a**4. Factor s(y).
(y - 7)**2*(9*y + 2)/6
Let f be ((-119)/(-34))/((-2)/(-68)). Let c = f - 237/2. Find h, given that -1/2*h - 1/6 - c*h**2 - 1/6*h**3 = 0.
-1
Let i(z) = -6*z**4 - 7*z**3 + 31*z**2 + 17*z + 10. Let t(p) = 5*p**4 + 7*p**3 - 29*p**2 - 19*p - 8. Let f(l) = -4*i(l) - 5*t(l). Factor f(y).
-y*(y - 3)*(y + 1)*(y + 9)
Let b be 4 + 1/(((-3)/417)/1). Let i be 16/6 - 9*(-10)/b. Factor -36/7*c + 3/7*c**i + 108/7.
3*(c - 6)**2/7
Factor 1/4*w**5 - 3/4*w + 1/2*w**3 + 0 + w**4 - w**2.
w*(w - 1)*(w + 1)**2*(w + 3)/4
Let f(r) be the second derivative of 1/12*r**3 + 0*r**2 - 22 + 1/20*r**5 - r + 1/9*r**4 + 0*r**6 - 1/252*r**7. What is s in f(s) = 0?
-1, 0, 3
Let y(u) be the first derivative of -u**3/3 - 1582*u**2 - 2502724*u + 1896. Find r, given that y(r) = 0.
-1582
Let y(h) be the second derivative of 3*h**5/40 + 15*h**4/8 + 25*h**3/2 + 522*h. Factor y(b).
3*b*(b + 5)*(b + 10)/2
Factor -244*f**3 - 9888*f + 6058*f - 326*f**3 + 1635 + 5*f**4 + 2760*f**2.
5*(f - 109)*(f - 3)*(f - 1)**2
Suppose -b = -211*f + 212*f + 2, -5*b + f = -2. Let h(g) be the first derivative of b*g - 50/3*g**3 - 5/4*g**4 - 125/2*g**2 + 29. Find j such that h(j) = 0.
-5, 0
Suppose 11*z - 44 = 7*z + 2*u, u + 58 = 5*z. Suppose -299 + 87 = -4*v. Let 1 + 4*s**3 - v*s + 3 + 65*s + z*s**2 = 0. Calculate s.
-1
Factor 324 + 329 + 60*l**2 - 653 + 28*l**3 + l**4 + 36*l + 3*l**4.
4*l*(l + 1)*(l + 3)**2
Suppose -3*r + 3*w - 42 = 0, r + 51460*w - 51464*w = -62. What is u in 20/7*u**3 - 54/7 + 36/7*u**r + 2/7*u**5 - 54/7*u - 2*u**4 = 0?
-1, 3
Let t(g) be the first derivative of -2*g**5/55 + 2148*g**4/11 - 4613904*g**3/11 + 4955332896*g**2/11 - 2661013765152*g/11 - 75. Factor t(b).
-2*(b - 1074)**4/11
Solve -4/5*f**3 + 10*f**2 + 32/5*f - 78/5 = 0 for f.
-3/2, 1, 13
Let i(c) be the second derivative of c**5/25 - 596*c**4/15 + 35282*c**3/3 + 357604*c**2/5 + 4437*c. Find n such that i(n) = 0.
-2, 299
Let s(f) be the second derivative of f**5/10 - 6*f**4 + 101*f**3/3 - 66*f**2 - 18*f + 3. Find x such that s(x) = 0.
1, 2, 33
Let l = -11536353/7 - -1648051. Let w = -136 - -954/7. Factor l*h**3 + w + 0*h**2 - 2/7*h**4 - 4/7*h.
-2*(h - 1)**3*(h + 1)/7
Let a(k) = -11*k**3 - 12*k**2 - 4*k. Suppose -33*r = -36*r. Suppose r = -s - 6. Let z(x) = -x**3. Let q(d) = s*z(d) + 3*a(d). Factor q(c).
-3*c*(3*c + 2)**2
Factor 320/7 - 184/7*h + 12/7*h**2.
4*(h - 2)*(3*h - 40)/7
Let b(z) be the first derivative of -15/2*z**2 + 167 - 35/16*z**4 + 20/3*z**3 + 1/4*z**5 + 0*z. Factor b(t).
5*t*(t - 3)*(t - 2)**2/4
Let y(g) be the second derivative of -91*g**5/100 + g**4/30 + 653*g. Solve y(t) = 0.
0, 2/91
Let i be ((-48)/45)/4 - (-190328)/424380. Factor -48/11*l + i*l**2 + 0.
2*l*(l - 24)/11
Let i = -3892/65 - -27894/455. Factor -1/7*w**2 + 24/7 + i*w.
-(w - 12)*(w + 2)/7
Let v(m) = 10*m**4 + 36*m**3 - 10*m**2 - 114*m. Let h(r) = -29*r**4 - 106*r**3 + 31*r**2 + 339*r. Let p(x) = -6*h(x) - 17*v(x). Factor p(s).
4*s*(s - 2)*(s + 2)*(s + 6)
Let h(o) be the second derivative of 11*o**4/48 + 103*o**3/12 - 57*o**2/8 - o - 472. Let h(z) = 0. Calculate z.
-19, 3/11
Let j = 46275/4 - 11568. Suppose j*r + 9/4*r**3 + 0 - 3*r**2 = 0. What is r?
0, 1/3, 1
Let i(s) be the second derivative of s**7/112 + 3*s**6/10 + 27*s**5/32 + 11*s**4/16 - 14*s + 95. Suppose i(w) = 0. Calculate w.
-22, -1, 0
Let k(j) = 76*j**4 - 314*j**3 + 19*j**2. Let i(y) = -228*y**4 + 940*y**3 - 56*y**2. Let z(f) =