r.
-1, 0
Let s = -26956/3 - -8897. Let i = -1304/15 - s. Solve -2/5*y - 1/5*y**5 - i*y**2 - 9/5*y**3 - y**4 + 0 = 0.
-2, -1, 0
Let f(q) be the second derivative of q**5/100 + 13*q**4/60 + q**3 + 375*q + 6. Factor f(u).
u*(u + 3)*(u + 10)/5
Let h = -22 - -25. Suppose -31*b**4 + 10*b**h - 10*b**2 - 5*b**2 + 36*b**4 = 0. Calculate b.
-3, 0, 1
Let o(l) = l**3 + 6*l**2 + 7650*l + 38227. Let x be o(-5). Suppose 320/3*v + 0 + 264*v**4 + 20/3*v**5 - 264*v**x - 340/3*v**3 = 0. What is v?
-40, -1, 0, 2/5, 1
Let b(w) be the third derivative of w**8/588 + 8*w**7/245 + 47*w**6/210 + 52*w**5/105 - 8*w**4/7 - 128*w**3/21 + 49*w**2 - 2*w. Factor b(x).
4*(x - 1)*(x + 1)*(x + 4)**3/7
Determine c, given that 16/7*c**2 + 4/7*c**3 - 12*c + 0 = 0.
-7, 0, 3
Suppose -618*p - 251*p = 441*p + 369*p. Factor 1/3*i**2 + p + i.
i*(i + 3)/3
Suppose 62*j = 50*j + 48. Let s(w) be the first derivative of 0*w - 16 - 1/32*w**j + 1/24*w**3 + 1/8*w**2. Factor s(b).
-b*(b - 2)*(b + 1)/8
Determine a, given that 57*a**3 + 4107/4 + 2277/2*a**2 + 2109*a + 3/4*a**4 = 0.
-37, -1
Let h(g) be the second derivative of -g**5/130 - g**4/13 + 5*g**3/13 + 100*g**2/13 - 719*g. Let h(p) = 0. Calculate p.
-5, 4
Suppose -w = 79 - 82. Determine k, given that 0*k**w - 20*k**3 + 18*k**3 - 8*k**2 = 0.
-4, 0
Let s(n) = 5*n**2 - 29*n - 144. Let c be s(9). Let 0 - 7/6*u**3 + c*u - u**2 - 1/6*u**4 = 0. Calculate u.
-6, -1, 0
Let q(l) be the third derivative of 0*l**5 + 1/60*l**6 + 0*l**7 + 0 + 0*l**4 - 1/672*l**8 - 60*l**2 + 0*l + 0*l**3. Determine p so that q(p) = 0.
-2, 0, 2
Let q be (36/8)/((-42)/32*(-165)/462). Let -81/5*v**3 + q + 108/5*v + 0*v**2 = 0. Calculate v.
-2/3, 4/3
Let s(h) be the first derivative of h**7/7 + h**6/30 - h**5/10 - 60*h + 84. Let d(q) be the first derivative of s(q). Factor d(y).
y**3*(2*y - 1)*(3*y + 2)
Factor -2/7*l**2 - 430592/7 - 1856/7*l.
-2*(l + 464)**2/7
Let d(x) be the first derivative of -x**4/12 - 44*x**3/3 + 273*x**2/2 - 414*x - 507. Suppose d(i) = 0. What is i?
-138, 3
Let x = -996 + 1007. Suppose -x*f + 89 - 89 = 0. Determine s, given that 0*s**4 + 0 + f*s**2 + 1/3*s**5 - 1/3*s**3 + 0*s = 0.
-1, 0, 1
Factor -202/15*l + 2/15*l**2 - 412/15.
2*(l - 103)*(l + 2)/15
Let 90*m + 1020*m**2 + 470*m**3 - 196*m**5 - 599*m**5 - 1755*m**4 - 50*m**5 - 233*m - 217*m = 0. Calculate m.
-2, -1, 0, 6/13
Suppose 10*b = 33 + 7. Suppose 0*l + 16 = b*l. Factor -30*h + 4*h**2 - 28*h + l + 66*h.
4*(h + 1)**2
Let m = 212 - 87. Let -5*r**5 - m*r**4 + 132*r**4 + 43*r**3 - 15*r**3 - 12*r**2 = 0. What is r?
-2, 0, 2/5, 3
Let x = -1072914315/846433 - -4/120919. Let c = x + 1269. Factor c*m**2 + 8/21 + 2/3*m**3 + 26/21*m + 2/21*m**4.
2*(m + 1)**3*(m + 4)/21
Let s(q) be the second derivative of -q**4/36 - 2*q**3/9 + 77*q**2/6 + 181*q. Factor s(v).
-(v - 7)*(v + 11)/3
Factor -924/5*m**4 - 147/5*m**5 + 0*m - 51*m**3 - 18/5*m**2 + 0.
-3*m**2*(m + 6)*(7*m + 1)**2/5
Find z, given that -4650*z**2 + 2*z**3 - 14*z - 20*z + 4638*z**2 + 2*z = 0.
-2, 0, 8
Let x(d) = d**3 + 25*d**2 + 3. Let z be x(-25). Factor -23*p + 1193*p**z - p - 1189*p**3 - 12*p**2 + 32.
4*(p - 4)*(p - 1)*(p + 2)
Suppose -1553*u - 27800 = -34012. Factor -128/3*t**3 + 440*t**2 - 3872/3*t + 4/3*t**u - 5324/3.
4*(t - 11)**3*(t + 1)/3
What is l in 2*l**5 - 7382889*l + 49155*l**2 + 7445*l**3 + 7424939*l + 3*l**5 + 345*l**4 = 0?
-29, -10, -1, 0
Let f be (0*18/306)/6. Let z(g) be the first derivative of -5*g**2 + f*g + 17 - 15/4*g**4 - 35/3*g**3. Factor z(c).
-5*c*(c + 2)*(3*c + 1)
Let y be 24*(-6)/(-168)*(87/15 + -3). Let p(i) be the first derivative of -136/5*i**3 + y*i**4 + 36 + 39/2*i**2 - 24/5*i. Find o, given that p(o) = 0.
1/4, 8
Let u = 160377/227050 - 158/239. Let y = 3/50 + u. Solve 0*s**2 + 0 + y*s**3 - 2/19*s**5 + 0*s**4 + 0*s = 0 for s.
-1, 0, 1
Let s(t) be the first derivative of -3*t**5/20 - 369*t**4/4 - 20172*t**3 - 1654104*t**2 + 581. Factor s(z).
-3*z*(z + 164)**3/4
Let g be ((-690)/1656*16/3)/((-1)/3). Let x = 1051/129 + 8/43. Factor -5*m**3 + x*m**2 - g + 20/3*m.
-5*(m - 2)*(m + 1)*(3*m - 2)/3
Let c(v) be the third derivative of v**5/12 + 655*v**4/24 + 325*v**3/3 - 3202*v**2. Let c(r) = 0. Calculate r.
-130, -1
Let o(v) = -32*v**3 + 0 + 3 - 29*v - 87*v**2 + 9*v**3 - 6. Let c(i) = 68*i**3 + 262*i**2 + 86*i + 9. Let r(z) = -6*c(z) - 21*o(z). Factor r(x).
3*(x + 3)*(5*x + 1)**2
Factor -4/9*r**4 + 0 + 28/9*r**3 + 0*r - 16/3*r**2.
-4*r**2*(r - 4)*(r - 3)/9
Suppose -8 = 8*s - 9*s. Suppose 0 = 8*w - 16 - s. Determine n so that 13*n - 29 + 29 + 5*n**w - 18*n = 0.
-1, 0, 1
Let u(o) be the second derivative of o**4/72 + 13*o**3/36 + 3*o**2 - 1115*o. Suppose u(b) = 0. What is b?
-9, -4
Let r(f) be the third derivative of f**6/24 - 35*f**4/6 + 40*f**3 + 616*f**2. What is z in r(z) = 0?
-6, 2, 4
Let t(b) = b**3 + 93*b**2 + 11*b + 1061. Let v be t(-93). Factor 52*s**4 + 4 + 115*s**2 - v*s - 8*s**5 - 241/2*s**3.
-(s - 2)**3*(4*s - 1)**2/2
Let a(h) be the first derivative of -h**6/60 - h**5/10 + 4*h**3/3 + 10*h**2 - h + 110. Let u(v) be the second derivative of a(v). Factor u(j).
-2*(j - 1)*(j + 2)**2
Let a(t) = -10*t**2 + 448*t - 26450. Let s(o) = 2*o**2 + 3*o. Let i(u) = a(u) + 4*s(u). Solve i(d) = 0 for d.
115
Let q(g) be the second derivative of -g**6/315 + g**5/210 + 5*g**4/126 + g**3/21 - 12*g - 92. Factor q(x).
-2*x*(x - 3)*(x + 1)**2/21
Let k = -276025 + 276030. Factor -9/4*p**4 + 0 + 29/4*p**3 - 39/4*p**2 + 1/4*p**k + 9/2*p.
p*(p - 3)**2*(p - 2)*(p - 1)/4
Let k(v) be the first derivative of -5*v**4/4 - 80*v**3/3 + 90*v**2 - 7. Let k(n) = 0. Calculate n.
-18, 0, 2
Let i(y) be the first derivative of 3*y**5/5 - 105*y**4/4 + 128*y**3 - 186*y**2 + 2944. Factor i(s).
3*s*(s - 31)*(s - 2)**2
Let s(u) = -u**3 - 2*u + 1. Let r(p) = -12*p**3 - 18*p + 10. Let t = 417 + -418. Let a(g) = t*r(g) + 10*s(g). Factor a(j).
2*j*(j - 1)*(j + 1)
Let n(h) be the first derivative of -5*h**3/3 - 3160*h**2 - 1997120*h - 1724. Factor n(q).
-5*(q + 632)**2
Let t(g) = -g**2. Let h(z) be the first derivative of -z**5 - 25*z**4/4 - 20*z**3 + 10*z**2 + 40*z + 125. Let c(v) = h(v) - 30*t(v). Solve c(x) = 0.
-2, 1
Let u = 1404 + -1406. Let n(w) = -194 + 4*w**2 - 33*w - 5*w**2 + 5*w. Let y(v) = 3*v**2 + 84*v + 581. Let j(k) = u*y(k) - 7*n(k). Factor j(p).
(p + 14)**2
Let y(w) be the third derivative of -w**6/150 - 29*w**5/75 + 61*w**4/6 + 222*w**3/5 - 181*w**2 - 5. Factor y(j).
-4*(j - 9)*(j + 1)*(j + 37)/5
Let d(t) be the second derivative of -t**5/20 - t**4/3 - 2*t**3/3 - 157*t**2/2 + 18*t - 1. Let y(j) be the first derivative of d(j). Find z such that y(z) = 0.
-2, -2/3
Let b(o) be the second derivative of -6*o**7/7 + 128*o**6/5 - 209*o**5 + 158*o**4/3 + 1928*o**3/3 - 880*o**2 + 240*o - 3. Determine f, given that b(f) = 0.
-1, 2/3, 10, 11
Let l(a) be the third derivative of -1/320*a**6 + 0 + 0*a**3 - 1/80*a**5 + 81*a + a**2 - 1/64*a**4. Suppose l(g) = 0. Calculate g.
-1, 0
Let y(f) = 3*f + 13. Let h(z) = 4*z + 20. Let n(d) = 5*h(d) - 7*y(d). Let p be n(7). Factor -p - 2*g + 2 + 5 - g**2 - 6.
-(g + 1)**2
Suppose 224/9*w**2 + 400/9 + 11/9*w**3 + 1180/9*w = 0. What is w?
-10, -4/11
Suppose -2*p = -4*q + 1708 - 558, -5*q + 5 = 0. Let y = -570 - p. Factor 0*v - 4*v**4 + 0*v**2 + 0 + 2/3*v**5 + 6*v**y.
2*v**3*(v - 3)**2/3
Let l(q) be the first derivative of -3*q**4/8 - 11*q**3 + 2325*q**2/4 + 26250*q + 3290. Solve l(y) = 0.
-25, 28
Let p be 45/6*((-441)/(-135) + -3) + 1. Let c(h) be the second derivative of -5*h + 0 - 3/2*h**p + 1/2*h**4 + 0*h**2 + 3/20*h**5. What is s in c(s) = 0?
-3, 0, 1
Let k be (-2)/(-9) + 21896/(-36). Let v = 610 + k. Factor 3/8*i**v - 1/4*i**3 + 0 - 1/8*i.
-i*(i - 1)*(2*i - 1)/8
Let n(r) be the first derivative of -r**5/120 + r**3/9 - 24*r + 27. Let m(g) be the first derivative of n(g). Determine f so that m(f) = 0.
-2, 0, 2
Suppose b - 6*b = 3*f - 31, -2*f = b - 9. Let u(q) = -q**3 - 2*q - 1. Let m be u(-1). Solve -1 - b + 10*c**m + 4*c**2 - 8*c - 16*c**2 = 0.
-3, -1
Suppose 2 + 4 = 3*g. Suppose 0 = 7*q - 8*q - g. Let s(r) = -16*r**2 - 55*r - 55. Let m(o) = -4*o**2 - 14*o - 14. Let p(y) = q*s(y) + 9*m(y). Factor p(w).
-4*(w + 2)**2
Let d(g) = 30*g**2 - 2. Let u(z) = 5*z**2 + 13*z + 9. Let j(y) = y**2 + 3*y + 2. Let c(m) = -9*j(m) + 2*u(m). Let p(q) = -12*c(q) - 2*d(q). Factor p(n).
-4*(3*n - 1)*(6*n + 1)
Let p = -533634 - -533636. What i