et i(m) be the first derivative of -2*m**6/21 - 13344*m**5/35 - 3709632*m**4/7 - 5500147712*m**3/21 - 1595. Factor i(f).
-4*f**2*(f + 1112)**3/7
Let c = 114760/3 - 38120. Solve -1/3*f**2 - 40/3*f - c = 0 for f.
-20
Let q = -1782698 + 1782700. Solve -28/9*h**3 + 0*h**q + 0 + 0*h + 7/9*h**5 - 32/3*h**4 = 0.
-2/7, 0, 14
Let j(g) be the second derivative of -g**5/4 + 5*g**4/6 + 55*g**3/6 - 30*g**2 - 4*g + 158. Let j(w) = 0. Calculate w.
-3, 1, 4
Let a(d) be the third derivative of d**8/168 - 57*d**7/35 + 235*d**6/2 + 11093*d**5/15 + 7511*d**4/4 + 2523*d**3 + 114*d**2 - d. Suppose a(k) = 0. Calculate k.
-1, 87
Let z = 7/50116 + 73069079/350812. Solve 108/7*m + 2/7*m**2 + z = 0 for m.
-27
Suppose 3*f + 2*n = 17, -1 + 9 = -4*f + 5*n. Let l be f/24*6 - 147/(-12). Factor -l + 4*m + 18 - 14*m + 5*m**2.
5*(m - 1)**2
Suppose -18839 + 69214 = 13*l. Factor -3863*o**3 + 3*o**4 + o**4 + l*o**3 - 16*o**2.
4*o**2*(o - 1)*(o + 4)
Let y be (-74)/(-148)*(4/(-1) + 10 + -5). Let p be ((-9)/(-16))/((-6)/(-8)). Determine f, given that p*f**2 - y*f + 0 = 0.
0, 2/3
Let f be (-96)/(-112) - 66/(-21). Suppose -f*y + 4*y**3 + 11603 - 11603 = 0. What is y?
-1, 0, 1
Suppose 2083*b - 2081*b = 0. Let d(r) be the second derivative of 1/48*r**4 - 16*r + b*r**2 + 0 - 1/24*r**3. Suppose d(s) = 0. What is s?
0, 1
Let s(b) be the first derivative of -b**5/130 - b**4/26 + 4*b**3/39 - 97*b + 208. Let h(x) be the first derivative of s(x). Suppose h(l) = 0. What is l?
-4, 0, 1
Suppose 165 = 5*y - 4*d, -52 - 15 = -3*y - 4*d. Let s = -13 + y. Find t, given that -4*t**2 + s*t**2 - 4 - 22*t + 4*t**2 + 10*t**2 = 0.
-2/13, 1
Let h(q) be the third derivative of -142*q**2 + 0*q**3 - 5/18*q**4 + 0 + 0*q - 1/90*q**5. Factor h(i).
-2*i*(i + 10)/3
Let v(f) be the second derivative of -f**5/60 + 437*f**4/36 + 73*f**3/3 - 12*f + 68. Factor v(b).
-b*(b - 438)*(b + 1)/3
Let n(c) be the first derivative of c**5/25 - 4*c**4/15 + 2*c**3/5 + 157*c - 132. Let l(x) be the first derivative of n(x). Solve l(j) = 0.
0, 1, 3
Let k(s) = -s**3 - 5*s**2 - 10*s - 15. Let z be k(-5). Factor -40*c**2 + 5*c**5 + 16*c**4 - 10*c**3 - 5 - 5 - z*c - 4*c**4 - 2*c**4.
5*(c - 2)*(c + 1)**4
Let d(i) = -i**3 + 7*i**2 + 2*i + 60. Let h be d(-6). Let c be 1/(h/256 + -2). Solve -50/3*r**4 + 32/3 + c*r**2 - 160/3*r + 40/3*r**3 = 0.
-2, 2/5, 2
Let p(s) be the first derivative of -3*s**3/7 + 149*s**2/14 + 68*s/7 - 2241. Find w, given that p(w) = 0.
-4/9, 17
Let b be (66/(-66))/((-4)/20). Find f, given that 0*f - 10/17*f**3 + 0 - 4/17*f**2 + 8/17*f**4 + 6/17*f**b = 0.
-2, -1/3, 0, 1
Let n(i) = -3*i**2 + 111*i + 118. Let q be n(37). Suppose -q = -52*s + 90. Solve 2/9*y**3 + 0 + 2/9*y**s + 0*y - 4/9*y**2 = 0 for y.
-2, 0, 1
Suppose -8 = 15*u - 13*u - 2*m, 0 = u - 5*m + 28. Let f(s) be the first derivative of -1 + 5/11*s**u - 6/11*s - 2/33*s**3 - 1/22*s**4. Factor f(n).
-2*(n - 1)**2*(n + 3)/11
Suppose 0 = -25563*n + 26193*n. Suppose -2*m**3 + 1/2*m**4 + 5/2*m**2 + n - m = 0. What is m?
0, 1, 2
Factor -28*y + 754*y - 206*y**2 - 17593 + 16129 + 209*y**2.
3*(y - 2)*(y + 244)
Let l(x) = -52*x**4 - 44*x**3 + 292*x**2 - 316*x + 120. Let s(i) = -2*i**4 + 3*i**2 - i. Let c(w) = -l(w) + 24*s(w). Factor c(p).
4*(p - 2)*(p - 1)**2*(p + 15)
Let u(s) = 2*s**2 + 7*s - 20. Let t be u(6). Let b = t + -91. Factor -1820*c**3 - 100000*c - 625*c**3 + 445*c**b - 2*c**5 + 100*c**4 + 20000*c**2 + 200000.
-2*(c - 10)**5
Let a be 301/129*((-5)/(30/12) + 58). Factor -84*d**2 + a*d - 1/3*d**4 + 0 + 10*d**3.
-d*(d - 14)**2*(d - 2)/3
Let l = 239 - 237. Let q be (-10 + 18)/(4/l). Factor -8/11*p**q - 12/11*p**3 - 2/11*p - 2/11*p**5 - 8/11*p**2 + 0.
-2*p*(p + 1)**4/11
Let y = -1169 + 1134. Let p be 41/35 - (-21)/y. Factor 4/7*h**4 - p*h**3 + 4/7*h**5 - 4/7*h**2 + 0*h + 0.
4*h**2*(h - 1)*(h + 1)**2/7
Let n be 1/16 + (-3179)/(-5712). Let g(k) be the second derivative of 17*k - 8/7*k**2 + 8/7*k**3 + 6/35*k**5 - 2/105*k**6 + 0 - n*k**4. What is v in g(v) = 0?
1, 2
Solve 3/2*n + 0 + 1/4*n**2 = 0.
-6, 0
Let h(n) be the first derivative of n**4/4 + 13*n**3/3 + 11*n**2/2 - n + 292. Let c be h(-1). Let -2/5*r**2 - 12/5*r + c = 0. Calculate r.
-6, 0
Let v(z) = -10*z**3 + 2*z**2 + 60. Let l(k) = -41*k**3 + 7*k**2 - 2*k + 250. Let q(w) = -6*l(w) + 25*v(w). Factor q(o).
-4*o*(o - 3)*(o + 1)
What is y in 583 + 608 - 1063 - 466*y**4 + 338*y**2 + 800*y**3 - 26*y**3 - 90*y**5 - 684*y = 0?
-32/5, -1, 2/9, 1
Let x = -160/1719 - -2359/6876. Let y = -1/13 - -15/26. Factor y*v**3 + 0*v + x*v**4 + 0*v**2 + 0.
v**3*(v + 2)/4
Let j(x) be the second derivative of -253*x**4/2 + 2*x**3/3 - 4434*x. Find v, given that j(v) = 0.
0, 2/759
Let a(s) be the second derivative of 0 - 9/2*s**2 - 69/40*s**5 + 31/8*s**4 - 5/4*s**3 + 3/20*s**6 + 85*s. Determine c, given that a(c) = 0.
-1/3, 1, 6
Let f be (-126)/45 - -4*(-6)/(-8). Factor 4/5 + 4/5*s**3 - 3/5*s**2 - 4/5*s - f*s**4.
-(s - 2)**2*(s - 1)*(s + 1)/5
Suppose 278*j - 18 = 269*j. Let d(g) be the second derivative of 1/54*g**4 + 5*g + 1/9*g**j - 2/27*g**3 - 5. Factor d(s).
2*(s - 1)**2/9
Suppose -4*m - 9*m + 24 = -5*m. Determine d, given that 2 + 16/7*d**2 - 1/7*d**m - 29/7*d = 0.
1, 14
Suppose 2*d - 28 = j, 0 = -2*d - 0*j - j + 20. Let b = -10736 - -10738. Factor 10*o - 2*o + d + b*o**2 - 36.
2*(o - 2)*(o + 6)
Let k be -42 + -26 + 65 + 7*1. Factor -k + 10/3*q - 2/3*q**2.
-2*(q - 3)*(q - 2)/3
Let t(j) be the second derivative of 1677/20*j**5 + 0 + 0*j**2 - 194*j + 0*j**3 + 3/14*j**7 + 8*j**6 + 169/2*j**4. Determine o so that t(o) = 0.
-13, -2/3, 0
Let b(x) = -x**5 + 3*x**4 - 11*x**3 + 9*x**2 + 2. Let t(h) = 4*h**5 - 11*h**4 + 34*h**3 - 27*h**2 - 7. Let i(d) = -7*b(d) - 2*t(d). Factor i(s).
-s**2*(s - 3)*(s - 1)*(s + 3)
Let b(n) = -2*n**2 + 2*n + 3. Let i be b(-1). Let j(v) = v**2 - v. Let a(p) = -p**2 - 21*p - 32. Let t(l) = i*j(l) + a(l). Let t(w) = 0. What is w?
-8, -2
Let i(d) = -23*d**2 + 1568*d + 614656. Let z(c) = 29*c**2 - 1568*c - 614656. Let v(p) = -5*i(p) - 4*z(p). Find o, given that v(o) = 0.
-784
Let b(a) = 5*a**2 - 40*a - 178. Let f(r) = -r**2 + 8*r + 37. Let s(q) = -4*b(q) - 19*f(q). What is j in s(j) = 0?
-1, 9
Let y(c) be the first derivative of c**6/360 - 2*c**5/5 + 24*c**4 - 2*c**3/3 + 29*c**2/2 + 33. Let o(l) be the third derivative of y(l). Factor o(t).
(t - 24)**2
Factor -8/3 + 56*j - 54*j**2 + 40/3*j**3.
2*(j - 2)**2*(20*j - 1)/3
Let c(p) be the first derivative of -2*p**3/3 - 459*p**2 + 920*p + 1. Solve c(n) = 0 for n.
-460, 1
Let a(z) be the first derivative of 2*z**5/15 + 2*z**4/3 - 142*z**3/9 + 22*z**2 + 1758. Let a(c) = 0. What is c?
-11, 0, 1, 6
Determine j, given that -3128/9 + 4/9*j**2 + 1556/9*j = 0.
-391, 2
Let z(o) be the second derivative of 5*o**7/126 + 8*o**6/9 + 9*o**5/2 - 20*o**4/9 - 275*o**3/18 + 1557*o. Determine d so that z(d) = 0.
-11, -5, -1, 0, 1
Let y(v) be the first derivative of v**4/3 + 28*v**3/3 + 196*v**2/3 + 160*v + 2242. Factor y(d).
4*(d + 2)*(d + 4)*(d + 15)/3
Let k be (-8 - (-6 - -2))*(-40)/(11200/35). Suppose -3*z + 4 + 2 = 0. Factor k*w**z + 7 + 9/2*w.
(w + 2)*(w + 7)/2
Let x(y) be the first derivative of 51/8*y**4 - 3*y**2 - 79 + 5/4*y**6 + 0*y + 0*y**3 + 27/5*y**5. Determine b so that x(b) = 0.
-2, -1, 0, 2/5
Suppose -w + 160*h - 162*h = 4, 10 = -4*w - 5*h. Let -2*b**2 + 2/3*b + w - 8/3*b**3 = 0. What is b?
-1, 0, 1/4
Let q = -185912/7 + 26559. Let -q*m**5 + 0*m - 5/7*m**4 - 3/7*m**2 + 0 - m**3 = 0. Calculate m.
-3, -1, 0
Factor -5*u**4 + 16154710*u - 1217*u**3 + 1714*u**3 - 317460*u**2 - 73105175 + 1673*u**3.
-5*(u - 143)**3*(u - 5)
Factor 837661*t - 576075*t**2 - 190512 + 3*t**5 - 88503*t**3 - 1521*t**4 + 283560*t**3 - 264613*t.
3*(t - 252)**2*(t - 1)**3
Let j(d) = d**3 + 19*d**2 + 43*d - 70. Let u be j(-16). Suppose -3*g + 10 = w + 2*g, 0 = 2*w + 5*g - u. Factor 2/3*r**3 - 8/3*r + 0 + w*r**2.
2*r*(r - 2)*(r + 2)/3
Let j be 1 - (-2 - 0) - (-54)/18. Let i = j + 17. Determine z, given that -31*z + 61*z - i - 4*z**2 + 2*z - 41 = 0.
4
Suppose -5*c = -0*c + 25, 75 = 4*d + c. Suppose -17*p = -22*p + d. Solve -6*m + 4*m**3 - 4*m + 0*m - p*m**2 + 2*m = 0.
-1, 0, 2
Let o(b) = 127*b**2 + 356*b - 110. Let l(r) = -699*r**2 - 1958*r + 606. Let z(m) = -10*l(m) - 54*o(m). Factor z(s).
4*(s + 3)*(33*s - 10)
Let i be (-1472)/128 + 9 + 6 + -3. Let 0 + 2*t**2 + i*t**3 + 3/2*t = 0. What is t?
-3, -1, 0
Let f