-10944*v - 43776. Let p be z(-4). Factor 3/8*u**2 + 9/4*u - 3/8*u**3 + p.
-3*u*(u - 3)*(u + 2)/8
Let b(c) be the first derivative of -c**4/12 - 7*c**3/9 - c**2/3 + 40*c/3 + 4924. Let b(x) = 0. What is x?
-5, -4, 2
Suppose -d - 4*i = -21, -4*i + 36 = 3*d - 11. Find y such that 15 - y**3 + 10*y**2 + 6 - 17*y - d = 0.
1, 8
Let v(p) be the first derivative of p**6/15 - 2*p**5/25 - 12*p**4/5 + 176*p**3/15 - 112*p**2/5 + 96*p/5 - 5666. Factor v(w).
2*(w - 2)**3*(w - 1)*(w + 6)/5
What is g in 64/11 + 24/11*g + 3/11*g**3 + 1/11*g**4 - 38/11*g**2 = 0?
-8, -1, 2, 4
Suppose -2*i + 231 = 4*d + 225, -i + 1 = 4*d. Let s(q) be the first derivative of -1/14*q**4 + 0*q**2 + 2/35*q**i + 0*q - 13 - 4/21*q**3. Factor s(b).
2*b**2*(b - 2)*(b + 1)/7
Suppose 18*q - 1015 = 11*q. Determine c so that q*c**3 - 6*c**4 + 109*c + 330*c**2 + 40*c**2 + 111*c + 21*c**4 - 120 = 0.
-6, -2, 1/3
Let v(d) = -10*d**2 + 3265*d + 10560. Let o(q) = -q**2 + 297*q + 960. Let r(j) = -45*o(j) + 4*v(j). Suppose r(m) = 0. Calculate m.
-3, 64
Let m(u) be the first derivative of u**7/350 + u**6/200 - u**5/50 + 35*u**2/2 - 51. Let j(c) be the second derivative of m(c). Determine s, given that j(s) = 0.
-2, 0, 1
Let u(v) be the first derivative of -v**4/4 - 65*v**3/3 - 923*v**2/2 + 989*v - 622. Factor u(c).
-(c - 1)*(c + 23)*(c + 43)
Let h(l) be the third derivative of l**5/20 + 7*l**4/12 + 11*l**3/6 + 32*l**2. Let b(j) = 7*j**2 + 41*j + 34. Let a(w) = -4*b(w) + 11*h(w). Factor a(f).
5*(f - 3)*(f + 1)
Let x = -3765 - -3769. Let b(r) be the first derivative of 3/10*r**4 - x + 0*r + 0*r**2 - 3/25*r**5 - 1/5*r**3. Factor b(o).
-3*o**2*(o - 1)**2/5
Let -61*r**5 + 116*r**2 - 100*r**2 - 4*r**4 - 12*r**3 - 4*r**3 + 65*r**5 = 0. Calculate r.
-2, 0, 1, 2
Suppose -2*a + 45 = -3*q, -5*q + 156 - 231 = 10*a. Find s such that -36/11*s - 16/11*s**2 + a + 1/11*s**3 = 0.
-2, 0, 18
Let a(t) = 4*t**2 + 412*t. Let j be a(0). Factor -24/7*h**3 - 8/7*h**2 + j - 8/7*h**5 + 0*h + 30/7*h**4.
-2*h**2*(h - 2)**2*(4*h + 1)/7
Let u(c) be the third derivative of -c**7/210 - c**6/120 + c**5/20 + 5*c**4/24 + c**3/3 - 3823*c**2. Factor u(l).
-(l - 2)*(l + 1)**3
Find r, given that 538*r**3 - 596*r**2 + 96*r + 21752 - 124*r**4 - 10*r**5 + 96*r - 21752 = 0.
-16, 0, 3/5, 1, 2
Let l be 17/(51/(-130))*12/(-10). Let u = -50 + l. Suppose -4*g**2 - 26*g**u + 3*g + 2*g + 5*g**2 = 0. Calculate g.
0, 1/5
Let s(v) be the second derivative of -4 + 3/140*v**5 + 0*v**2 + 0*v**3 + 1/28*v**4 + v. Factor s(f).
3*f**2*(f + 1)/7
Let b be ((-2050)/50 - -50) + -7. Factor -4/3*c - c**b + 1/6*c**4 + 1/2*c**3 + 0.
c*(c - 2)*(c + 1)*(c + 4)/6
Let h(b) = 9*b**4 + 859*b**3 + 862*b**2 - 4. Let z(v) = -12*v**4 - 860*v**3 - 863*v**2 + 5. Let j(x) = 5*h(x) + 4*z(x). Let j(g) = 0. What is g?
-1, 0, 286
Suppose 4*j = 2*j + 4. Let c = 516 + -511. Determine m, given that 17*m**3 - 12*m**3 + c*m**4 - 14*m**5 + 9*m**5 - 5*m**j = 0.
-1, 0, 1
Let g(r) be the first derivative of -r**2 - 2*r + 4. Let d be g(-2). Let -24 + u**5 - 64*u + 6*u**d + 28*u + 21*u**3 - 4*u**5 = 0. What is u?
-2, -1, 2
Let c = 53 + -56. Let f be (-8)/(-2) + c*3/9. What is d in -50*d + 0*d**4 - 15 + 15*d**4 + 40*d**3 + 10*d**f = 0?
-3, -1, -1/3, 1
Let m(y) be the second derivative of y**6/20 + 9*y**5/40 - 99*y**4/8 - 103*y**3/4 + 297*y**2/2 + 2526*y. What is x in m(x) = 0?
-11, -2, 1, 9
Suppose 6*o - 17*o = -638. Factor -285*r - 60*r**3 + 68*r**2 + o*r**3 - 219*r - 1296.
-2*(r - 18)**2*(r + 2)
Let o(k) be the third derivative of 0*k**4 - 1/45*k**5 - 19/90*k**6 + 0*k + 0*k**3 - k**2 + 17. Factor o(j).
-4*j**2*(19*j + 1)/3
Let q = 6514 + -6514. Let f(r) be the third derivative of -1/8*r**5 + q + 0*r - 3/8*r**4 + 47*r**2 + 0*r**3 + 1/80*r**6. Factor f(w).
3*w*(w - 6)*(w + 1)/2
Let z(l) be the first derivative of -l**6/600 + 19*l**5/600 + 7*l**4/60 - l**3/3 + 25*l + 122. Let k(j) be the third derivative of z(j). Factor k(a).
-(a - 7)*(3*a + 2)/5
Let g(p) be the second derivative of -3/4*p**3 + 100*p + 0 + 1/24*p**4 + 7/2*p**2. Suppose g(r) = 0. What is r?
2, 7
Suppose 0 = -4*a - 12, -3*w = -a - 6 - 6. Factor 46*z - 23*z - 5*z**w + 3*z**4 - 3*z**2 + 2*z**3 - 20*z.
3*z*(z - 1)**2*(z + 1)
Let k(j) be the third derivative of 0 + 5/3*j**3 + 3/16*j**4 - 9*j - 1/240*j**5 - 3*j**2. Determine p, given that k(p) = 0.
-2, 20
Let t(q) be the third derivative of 0*q + 36*q**2 - 101/420*q**6 + 0 + 2/441*q**8 + 43/63*q**4 + 113/315*q**5 + 8/441*q**7 + 8/21*q**3. Let t(r) = 0. What is r?
-6, -1/4, 2
Let s(v) = -9*v**2 + 37*v - 83. Let n(r) = -r**2. Let z(l) = -16*l**2 + 94*l - 208. Let p(m) = 6*n(m) + z(m). Let a(o) = -5*p(o) + 12*s(o). Factor a(x).
2*(x - 11)*(x - 2)
Let d(q) be the first derivative of q**6/90 + 8*q**5/15 + 14*q**4/3 + q**3/3 - 4*q + 199. Let h(n) be the third derivative of d(n). Factor h(j).
4*(j + 2)*(j + 14)
Let q = -853 + 836. Let z be 2/(8 + q - -10). Factor -z + 14/3*a**2 - 2/3*a + 10/3*a**3.
2*(a + 1)**2*(5*a - 3)/3
Let o(k) be the first derivative of -3*k**4/2 - 1748*k**3/3 - 63364*k**2 + 85264*k + 1759. Factor o(y).
-2*(y + 146)**2*(3*y - 2)
Let l(x) = -2*x**2 - 118*x + 1092. Let n(w) = -3*w**2 - 177*w + 1636. Let v(y) = -7*l(y) + 5*n(y). Find j such that v(j) = 0.
-67, 8
Let w(i) be the second derivative of i**6/360 - 13*i**5/180 + 4*i**4/9 - 10*i**3/9 + 317*i**2/2 + 174*i. Let o(p) be the first derivative of w(p). Factor o(s).
(s - 10)*(s - 2)*(s - 1)/3
Let w(y) = 5*y**2 - 45*y - 1. Let c be w(-7). Let o = c + -557. What is b in 5/2*b**o - b + 0 = 0?
0, 2/5
Let l(m) = m**3 - 6*m**2 + m - 8. Let g be l(6). Let h be g/(-9) + 125/45. Suppose 3*a - 4*a**3 + 2*a**3 + 2*a**2 - 3*a**h + 4*a**3 = 0. Calculate a.
-1, 0, 3
Suppose 392*m - 393*m + 5 = 0. Let w(p) = 8*p**2 + 17*p - 15. Let a(v) = -7*v**2 - 16*v + 12. Let i(h) = m*a(h) + 4*w(h). Determine q so that i(q) = 0.
-4, 0
Let m be (-12 + 10)*1*-4. Suppose -m = 4*s + 4, -5*w - 2*s - 6 = 0. Factor -5/8*f**3 + 0 - 3/4*f**2 + w*f - 1/8*f**4.
-f**2*(f + 2)*(f + 3)/8
Suppose 2213*y = 2205*y + 64. Let f(a) be the first derivative of -y + 0*a**2 - 8*a + 2/3*a**3. Factor f(s).
2*(s - 2)*(s + 2)
Let x(n) be the third derivative of n**7/1470 - n**6/120 - n**5/20 + 9*n**4/56 + 329*n**2 + 2. Factor x(u).
u*(u - 9)*(u - 1)*(u + 3)/7
Let b = -6404302/51 + 125570. Let d = 100/17 + b. Factor d*f**2 - 8/3 + 4/3*f.
4*(f - 1)*(f + 2)/3
Suppose 15713871*l = 15713837*l + 102. Solve 2243/2*u**l - 49/2*u**5 - 64 - 322*u - 749*u**4 + 38*u**2 = 0 for u.
-32, -2/7, 1
Let u(k) = -36*k - 104. Let n be u(-3). Let w be 11/n + 1 - 24/32. Factor 14/13*j**w - 16/13 - 60/13*j**2 + 72/13*j.
2*(j - 2)**2*(7*j - 2)/13
Factor 72*g**3 - 42 - 134*g**3 + 83*g**2 + 64*g**3 - 7*g - 36*g.
(g - 1)*(g + 42)*(2*g + 1)
Let m(n) be the second derivative of -n**7/483 + 77*n**6/345 - 1459*n**5/230 - 10385*n**4/138 + 292144*n**3/69 + 1906624*n**2/23 + 1693*n. Factor m(y).
-2*(y - 31)**3*(y + 8)**2/23
Let t(p) = 4*p**2 - 36 - 34*p + 19*p - 14*p - 28*p. Let r(v) = 5*v**2 - 59*v - 34. Let w(q) = -5*r(q) + 6*t(q). Factor w(l).
-(l + 1)*(l + 46)
Let j(i) be the first derivative of i**7/1470 + i**6/630 - 6*i**3 + 75. Let g(z) be the third derivative of j(z). Find m, given that g(m) = 0.
-1, 0
Let v(j) = j**3 - 11*j**2 - 11*j - 12. Let i be v(12). Let -3*x**3 + 2*x**2 - 7*x**2 + i*x**2 + 2*x**2 = 0. Calculate x.
-1, 0
Factor 40/7*p**3 + 152/7*p + 0 - 396/7*p**2.
4*p*(2*p - 19)*(5*p - 2)/7
Suppose 0 = -2*c + 19*u - 14*u + 42, -2*c + 4*u + 46 = 0. Factor -4*w - 2 - 19*w**2 + c*w**2 - 14*w**2.
-2*(w + 1)**2
Let x(q) be the second derivative of q**4/60 + 11*q**3/15 + 74*q - 3. Let x(u) = 0. Calculate u.
-22, 0
Let n = -25/163 - -313/978. Let k(w) be the second derivative of -1/20*w**5 + 2*w + n*w**3 - 1/2*w**2 + 1/12*w**4 + 0. Factor k(h).
-(h - 1)**2*(h + 1)
Let a(h) be the first derivative of h**6/720 - h**5/180 - h**4/48 - h**2/2 + 10*h + 184. Let b(c) be the second derivative of a(c). Solve b(w) = 0 for w.
-1, 0, 3
Find z such that 28/5 + 281/5*z + 2*z**2 = 0.
-28, -1/10
Factor 99*k**2 + 1137*k - 4012*k - 4*k**3 - 375*k**2 - 1717*k.
-4*k*(k + 28)*(k + 41)
Let k be (2 + -2 + -6)/(-1). Let w be k - ((-8)/(-3))/((-24)/(-54)). Factor -2/5*o + 1/5*o**5 + w + 3/5*o**4 + 1/5*o**3 - 3/5*o**2.
o*(o - 1)*(o + 1)**2*(o + 2)/5
Let q = 510 + -520. Let t be 40/q - (-29)/7. Factor t*a + 0 + 1/7*a**2.
a*(a + 1