?
-5, -1/8, 1
Let l = 657483 - 657480. Suppose 16*g - 19/5*g**2 + 1/5*g**l + 20 = 0. What is g?
-1, 10
Let v(p) be the third derivative of 2*p**7/21 - 4*p**6/5 - 26*p**5/3 + 100*p**4 + 250*p**3/3 + 6*p**2 + 56. Factor v(r).
4*(r - 5)**2*(r + 5)*(5*r + 1)
Let z(n) = n**4 + n**3 + n**2 - 4. Let q(h) = 6*h**4 + 65*h**3 - 462*h**2 + 897*h - 370. Let d(k) = -3*q(k) + 24*z(k). Solve d(m) = 0 for m.
1/2, 2, 13
Let g be 117 - 3/(5 + 110/(-25)). Let o be g/(-588)*9/(-2). Factor -4/7*v + 0*v**3 + 2/7*v**4 - o*v**2 + 0.
2*v*(v - 2)*(v + 1)**2/7
Solve 699*q**5 - 67 - 705*q**5 + 15*q**3 + 132*q**2 + 13 - 126*q + 53*q**3 - 14*q**4 = 0 for q.
-3, -1/3, 1, 3
Solve 1/2*z**5 + 41/2*z**3 - 21*z + 133/2*z**2 - 44 - 45/2*z**4 = 0 for z.
-1, 1, 2, 44
Let q be (5 + 1)/(70/24710). Let 459*r - 4*r**4 - q*r**2 + 96*r**3 + 509*r + 1458*r**2 = 0. Calculate r.
0, 2, 11
Let f be (920/46)/80 - 30/(-8). Factor 9/8*k**3 + 3/8*k**f + 3/4*k**2 + 0*k + 0.
3*k**2*(k + 1)*(k + 2)/8
Let l(x) be the second derivative of 0*x**2 + 1/8*x**4 + 7/4*x**3 - 4 - 6*x. Find m, given that l(m) = 0.
-7, 0
Let t = 202 + -198. Let m(a) = 3*a**3 + 12*a**2 - 23*a + 10. Let y(f) = 2*f**3 + 12*f**2 - 22*f + 8. Let x(i) = t*m(i) - 5*y(i). Suppose x(u) = 0. Calculate u.
0, 3
Let y be (4 - (441/12)/7)*(-5)/25. Let h(u) be the third derivative of y*u**4 + 23*u**2 + 0*u**3 + 0*u + 0 + 1/30*u**5. Let h(c) = 0. What is c?
-3, 0
Let g = 4496 - 4492. Let r(h) be the third derivative of 11*h**2 + 2/3*h**g + 3/10*h**6 + 0 + 4/5*h**5 + 0*h + 0*h**3 + 4/105*h**7. Factor r(l).
4*l*(l + 2)**2*(2*l + 1)
Let k(m) be the first derivative of -m**3 - 345*m**2/2 + 1428*m - 4002. Solve k(j) = 0 for j.
-119, 4
Suppose f + 2*s - 77 = 0, -2*s = 2*s - 20. Let q = f + -65. Let -15*r**q + r**3 + r**4 + 0*r**4 - r**5 + 14*r**2 = 0. Calculate r.
-1, 0, 1
Find n, given that -12807972*n**3 - 283*n**2 - 292*n**2 + 1 - 1 + 12807977*n**3 + 7500*n = 0.
0, 15, 100
Let u(o) be the first derivative of 5/2*o**3 - 6 + 0*o + 225/8*o**2 + 1/16*o**4. Factor u(g).
g*(g + 15)**2/4
Let w(l) be the first derivative of -3*l**4/4 + 2385*l**3 - 5688225*l**2/2 + 1507379625*l - 830. Let w(r) = 0. Calculate r.
795
Let c be -15*11/33 - (-5 - (7 - 4)). What is n in 1/4*n**c + 0 - 1/4*n + 0*n**2 = 0?
-1, 0, 1
Let n(z) be the third derivative of -z**5/15 - 67*z**4/2 - 1576*z**3/3 + 2*z**2 - 2*z - 250. Factor n(j).
-4*(j + 4)*(j + 197)
Suppose 5*t - 10 - 20 = 0. Suppose 15 = t*z - 3. Solve 8*f**2 + 0*f**3 - 8*f**4 - 6*f**3 - 8*f + 3*f + z*f + 8*f**5 = 0 for f.
-1, 0, 1/2, 1
Find b such that 122*b**2 + 130*b**2 + 180*b - 81 - 879 - 256*b**2 + 4*b = 0.
6, 40
Suppose 524 - 92 = -d - 5*j, 0 = -d + 4*j - 396. Let a = -409 - d. Find p, given that -7*p**a - 1/2*p + 15/4*p**2 + 0 = 0.
0, 1/4, 2/7
Suppose 0 = -16*h + 23 + 9. Let n be 6/h + (-196)/112. Factor -1/4 - j + n*j**2.
(j - 1)*(5*j + 1)/4
Let w(g) be the third derivative of -g**5/90 - 181*g**4/6 - 32761*g**3 - 1849*g**2. Factor w(v).
-2*(v + 543)**2/3
Let k(m) be the second derivative of m**6/15 - 21*m**5/10 + 12*m**4 - 68*m**3/3 + 560*m. Factor k(c).
2*c*(c - 17)*(c - 2)**2
Let h(s) be the third derivative of -3*s**5/5 + 7*s**4/6 + 4*s**3/3 + 690*s**2. Factor h(v).
-4*(v - 1)*(9*v + 2)
Let m(j) be the first derivative of 0*j - 31 + 4/7*j**2 - 2/21*j**3. Factor m(u).
-2*u*(u - 4)/7
Let y(u) be the first derivative of -144/5*u**2 + 115 + 126/5*u**4 + 147/25*u**5 + 88/5*u**3 + 48/5*u. Factor y(v).
3*(v + 2)**2*(7*v - 2)**2/5
Suppose 6*h + 229 = 247. Let -43*i**4 - 55*i**5 - 81*i**4 - 13*i**3 - 25*i**h - 51*i**4 - 157*i**3 - 85*i**2 - 10*i = 0. What is i?
-1, -2/11, 0
Determine y, given that -2*y**3 + 1 - 378*y**2 - 1 - 3193696*y + 3193320*y = 0.
-188, -1, 0
Let z(s) be the first derivative of 0*s - 4/5*s**2 + 109 + 92/15*s**3 - 11/5*s**4. Factor z(j).
-4*j*(j - 2)*(11*j - 1)/5
Let w be (112 + (-7 - 84))*(-1)/3 - (-152)/6. Factor -65/3*d**3 + 10/3*d + 0 - w*d**2.
-5*d*(d + 1)*(13*d - 2)/3
Factor -22/7*b**2 + 3/7*b**3 - 10/7 + 37/7*b.
(b - 5)*(b - 2)*(3*b - 1)/7
Let l = -192276/95 + 2024. Let z(s) be the first derivative of 2 - 8/57*s**3 - 1/19*s**4 + 1/57*s**6 + l*s**5 + 1/19*s**2 + 4/19*s. Solve z(k) = 0 for k.
-2, -1, 1
Factor 3463*d**2 + 160*d**3 - 5*d**4 + 3599*d**2 - 6412*d**2 + 485*d**3.
-5*d**2*(d - 130)*(d + 1)
Suppose 286*j - 281*j = -25, 2*b + 5*j - 3 = 0. Let s(d) be the second derivative of 0 - 1/3*d**4 + 0*d**2 - 4/15*d**3 - b*d - 3/25*d**5. Factor s(p).
-4*p*(p + 1)*(3*p + 2)/5
Let x(o) be the first derivative of -o**6/3 + 8*o**5/5 + 7*o**4 - 24*o**3 - 45*o**2 - 4605. Determine l, given that x(l) = 0.
-3, -1, 0, 3, 5
Let x(h) = -91*h**3 - h + 4 + 92*h**3 - 3*h**2 + 4*h**2 - 5. Let r(b) = -75*b**3 - 153*b**2 + 127*b - 19. Let s(z) = -r(z) - 3*x(z). Factor s(v).
2*(3*v - 1)**2*(4*v + 11)
Let m(b) = 22*b**3 + 379*b**2 - 748*b - 7. Let x(y) = 6*y**3 + 126*y**2 - 248*y - 2. Let c(q) = 2*m(q) - 7*x(q). Suppose c(f) = 0. Calculate f.
0, 2, 60
Let c(o) be the third derivative of o**4/12 - 11*o**3/2 - 2*o**2. Let r be c(18). Find q, given that q**4 - 9*q**2 + q**4 + q**5 + r*q**3 + 3*q**4 = 0.
-3, 0, 1
Let v(a) be the first derivative of -1/8*a**4 + 21 + 3/4*a**2 - 14*a + 1/8*a**3 - 3/80*a**5. Let y(l) be the first derivative of v(l). Factor y(z).
-3*(z - 1)*(z + 1)*(z + 2)/4
Suppose 27*n = 8*n - 14*n + 7986. Let k(s) be the first derivative of 2/3*s**3 - 31 + 22*s**2 + n*s. Factor k(g).
2*(g + 11)**2
Let p(k) be the third derivative of -k + 1/72*k**4 - 1/360*k**6 + 1/30*k**5 - 1/3*k**3 + 115*k**2 + 0. Factor p(h).
-(h - 6)*(h - 1)*(h + 1)/3
Let x be (2 + -6 - -10) + 82/(-14). Let n(w) be the first derivative of 1/21*w**3 - x*w - 15 - 1/28*w**4 + 1/14*w**2. Factor n(l).
-(l - 1)**2*(l + 1)/7
Let g(u) be the third derivative of 0 - 1/280*u**7 - 17/480*u**6 + 1/6*u**3 + 5/1344*u**8 + 1/8*u**4 - 1/240*u**5 + 18*u**2 + 0*u. Find b, given that g(b) = 0.
-1, -2/5, 1, 2
Factor -3/2*u**3 - 1497/2*u - 753/2*u**2 - 747/2.
-3*(u + 1)**2*(u + 249)/2
Let o be (-10)/(-8) + (-698)/952. Let d = -2/119 + o. Factor -3*f - 4 - d*f**2.
-(f + 2)*(f + 4)/2
Let i(g) be the second derivative of 175*g**2 + 1/42*g**4 + 138*g - 10/3*g**3 + 0. Find x, given that i(x) = 0.
35
Let v = -89/5735 + 361661/22940. Factor v + 3*n - 3/4*n**2.
-3*(n - 7)*(n + 3)/4
Let o(a) be the third derivative of -a**5/240 + 41*a**4/48 + 30*a**2 - 11*a - 1. Factor o(f).
-f*(f - 82)/4
Suppose 0 + 6 = 3*b. Let p(h) = -11*h + 442. Let q be p(40). Solve -8*s**2 + 19*s**q - 4 - 10*s**b = 0 for s.
-2, 2
Let z be 6/(-16) + -7 + (-15252)/(-2016). Let x(o) be the first derivative of z*o**3 - 4/7*o**2 + 15 - 12/7*o. Find i such that x(i) = 0.
-1, 3
Let n(p) be the second derivative of -1/14*p**7 - 5 - 9/20*p**5 + 1/4*p**4 + 0*p**2 - 19*p + 0*p**3 + 3/10*p**6. Factor n(l).
-3*l**2*(l - 1)**3
Let d(k) be the third derivative of k**7/14 - 5*k**6/24 - 59*k**5/12 + 205*k**4/24 + 50*k**3/3 - 6471*k**2. Let d(p) = 0. Calculate p.
-4, -1/3, 1, 5
Let y be (-6385 + 6394 + 79/(-6) + 0)*4/(-5). Factor -y + 1/3*v**2 + v.
(v - 2)*(v + 5)/3
Let q = 76 + -116. Let s be (-5)/(15/12) + (-168)/q. Factor -s + 0*p + 1/5*p**2.
(p - 1)*(p + 1)/5
Let u = -251 - -253. Factor -5*f**3 - 14*f + 2*f + f**3 + 6*f**u + 3*f**3 + 8.
-(f - 2)**3
Let a(t) be the first derivative of 3*t**5/4 - 603*t**4/4 - 161*t**3/4 + 3231. Factor a(c).
3*c**2*(c - 161)*(5*c + 1)/4
Let b be ((-20)/(-9))/10 + (-215)/(-45). Let s(c) be the first derivative of 2/3*c**3 + 8*c + 5*c**2 + b. Factor s(k).
2*(k + 1)*(k + 4)
Suppose -5*t + 140 = 130. Suppose -t*y + 15 = 3*o + 3*y, 2*y - 6 = -5*o. Solve 2/21*l**3 + 4/21*l + o - 2/7*l**2 = 0 for l.
0, 1, 2
Let t(a) be the first derivative of a**3 + 117*a**2 + 2835*a - 6299. Solve t(c) = 0 for c.
-63, -15
Let n(t) be the third derivative of -1/12*t**3 + 46*t**2 + 1/24*t**4 - 1/120*t**5 + 0 + 0*t. Suppose n(b) = 0. What is b?
1
Let o be -5*2/10*130/(-169). Factor 28/13*x + 8/13*x**3 + o - 46/13*x**2.
2*(x - 5)*(x - 1)*(4*x + 1)/13
Let u(p) = 8*p + 17. Let l be u(3). Let r = l + -37. Factor 4*c**3 + 3*c**4 - r*c + c**2 - 6*c**2 + 4*c**2 - 2*c**4.
c*(c - 1)*(c + 1)*(c + 4)
Suppose 42 - 262 = -55*s. Let k(x) be the second derivative of 1/4*x**s + 0*x**3 + 0 + 0*x**2 - 6*x + 1/20*x**5. Factor k(g).
g**2*(g + 3)
Let l = -3370 - -67401/20. Let k(s) be the second derivative of l*s**5