/2*g**2 + t*g**3 + 0 - 3*g - 3/2*g**4 = 0. What is g?
-1, 0, 1, 2
Let c(n) = -n**2 + 11*n - 69. Let z(f) = 4*f**2 - 42*f + 275. Let k(w) = 26*c(w) + 6*z(w). Factor k(g).
-2*(g - 9)*(g - 8)
Let r(b) = -4*b**2 + 6*b - 2. Let z(n) = -5*n**2 + 7*n. Let m(o) = -6*r(o) + 5*z(o). What is a in m(a) = 0?
-4, 3
Let x be 1*(-26)/6 - 28/42. Let o = x - -5. Factor -f**2 + o*f**3 + 0*f + 1/2*f**4 + 1/2.
(f - 1)**2*(f + 1)**2/2
Let x(s) = -7*s**3 + 63*s**2 - 115*s + 55. Let b(w) = -50*w**3 + 440*w**2 - 805*w + 385. Let v(t) = 2*b(t) - 15*x(t). Let v(n) = 0. What is n?
1, 11
Suppose 3*m + 1 = 2*u, m - 4*m = 5*u + 50. Let k be u*(-10)/25 - 3/(-15). Factor -1/2*d - 1/2*d**k + 0 + d**2.
-d*(d - 1)**2/2
Let l(q) be the first derivative of -3/10*q**5 + 17/6*q**3 + 3 - 3/4*q**2 - 13/8*q**4 + 1/3*q**6 - q. Let l(a) = 0. Calculate a.
-2, -1/4, 1
Let i(v) be the third derivative of 7*v**6/200 + v**5/300 - 7*v**4/40 - v**3/30 + 24*v**2 - 7*v. Factor i(w).
(w - 1)*(w + 1)*(21*w + 1)/5
Suppose 0 = 24*g - 21*g - 75. Factor -g + 2*s**4 + 8*s**2 - 32 + 57 - 10*s**3.
2*s**2*(s - 4)*(s - 1)
Suppose -8*l = 19 + 53. Let u(s) = -s**2 - 9*s + 2. Let i be u(l). Factor -3/4*b**i - 1/4*b + 0.
-b*(3*b + 1)/4
Let y be (-170)/(-420) + 3/(-9). Let k(j) be the first derivative of 7 - 2/7*j + y*j**4 + 2/21*j**3 - 1/7*j**2. Solve k(a) = 0 for a.
-1, 1
Let p(z) = 2*z**2 + 13 - z + 11*z - z**2. Let m be p(-9). Let 1/3*n**2 - 7/3*n**5 + 2/3*n + 0 + 19/3*n**m - 5*n**3 = 0. What is n?
-2/7, 0, 1
Let g(u) = -2*u - 9. Let c be g(-6). Let a be 1 - (0 - -4 - c). Factor a*q - 2/5*q**2 + 2/5*q**3 + 0.
2*q**2*(q - 1)/5
Let p be (-2635)/(-3162)*(-18)/(-10). Let -1 - 1/2*m**2 + p*m = 0. What is m?
1, 2
Determine a so that 51*a - 3*a**3 + 100*a**2 + 45 + 98*a**2 - 195*a**2 = 0.
-3, -1, 5
Let a = -15743/7083 + 1/2361. Let u = 32/9 + a. Let 0 - 2/3*v**3 - u*v + 2*v**2 = 0. What is v?
0, 1, 2
Let s(o) = -6*o**3 - 6*o**2 - 2. Let d(p) be the second derivative of p**4/12 + p**2/2 - 4*p. Let q(b) = -4*d(b) - 2*s(b). Determine i, given that q(i) = 0.
-2/3, 0
Let m be 2 + 0 + 1/(-2). Suppose -4*x = -948*r + 951*r - 22, x - 2*r + 11 = 0. Factor -1/2*p**3 + m*p + 0*p**2 - x.
-(p - 1)**2*(p + 2)/2
Let j(x) be the third derivative of 3/20*x**5 - 1/2*x**4 + 2/3*x**3 + 0*x + 0 - 6*x**2. Find z such that j(z) = 0.
2/3
Let b(u) be the first derivative of -1/2*u**2 - 1 + 0*u. Let p(w) = -w**2 + w. Let n(k) = b(k) - p(k). Solve n(v) = 0 for v.
0, 2
Let c(h) be the second derivative of 16/7*h**3 + 1/70*h**5 - 3 - 64/7*h**2 - 2*h + 5/14*h**4. Find u, given that c(u) = 0.
-8, 1
Let c(d) be the third derivative of 0 + 0*d + 0*d**3 + 1/96*d**4 + 1/240*d**5 + 5*d**2. Factor c(q).
q*(q + 1)/4
Suppose 16*r + 25 = 21*r. Solve -40*c + c**2 + 25*c**3 - 5*c**5 - 5*c**4 + 4*c**2 + 4 + 11 + r = 0.
-2, 1
Let -5/6*g**5 + 0 + 15/2*g**4 + 5/2*g**2 + 30*g - 115/6*g**3 = 0. Calculate g.
-1, 0, 3, 4
Let h(q) be the first derivative of 11 + 1/2*q**3 + 0*q - 3/4*q**2. Find a such that h(a) = 0.
0, 1
Let d(m) be the first derivative of 0*m**2 + 1/7*m**4 - 22 + 0*m + 8/35*m**5 + 2/21*m**6 + 0*m**3. Factor d(h).
4*h**3*(h + 1)**2/7
Let w(s) be the second derivative of -5*s**4/12 - 25*s**3/6 - 10*s**2 - 4*s + 4. Suppose w(c) = 0. Calculate c.
-4, -1
Factor -2178*s**2 - 395307 + 44*s**3 + 47916*s - 1/3*s**4.
-(s - 33)**4/3
Let i = 38401/80 - 480. Let o(j) be the second derivative of i*j**5 + 0 + 1/24*j**4 + 0*j**2 + 1/24*j**3 - j. Factor o(q).
q*(q + 1)**2/4
Let w be (55/5 + -4)/1. Let p be w/((-14)/(-6)) - -2. Factor 0*r**4 + 1/2*r - r**3 + 1/2*r**p + 0*r**2 + 0.
r*(r - 1)**2*(r + 1)**2/2
Let s(v) be the first derivative of -v**5/60 - v**4/24 + v**3/9 + v**2/12 - v/4 - 206. Factor s(n).
-(n - 1)**2*(n + 1)*(n + 3)/12
Let l(c) be the second derivative of 2*c**7/147 + 4*c**6/35 + c**5/7 + 2*c - 78. Factor l(r).
4*r**3*(r + 1)*(r + 5)/7
Let k(t) = -t**4 - t**3 - t**2 - t + 1. Let f be (-2 - 2) + -5 + 11. Let b(z) = 4*z**4 + 4*z**3 + 2*z - 1. Let s(l) = f*b(l) + 6*k(l). Solve s(u) = 0 for u.
-2, -1, 1
Let s(u) = -u**2 - 4*u + 2. Let x be s(-4). Let -26*p**2 + 13*p + 5 + 18*p**2 + 7*p**x - 17 = 0. Calculate p.
1, 12
Let v(a) be the first derivative of 2*a**7/105 - a**6/30 - a**5/15 + a**4/6 - 13*a**2/2 + 4. Let u(q) be the second derivative of v(q). Factor u(i).
4*i*(i - 1)**2*(i + 1)
Let t be (-14)/4*((-20)/(-14) - 2). Let p be (-5 - -2)*(-2)/8. What is z in p - 3/4*z**t + 0*z = 0?
-1, 1
Let n(u) = 16*u**3 + 10*u**2 - 16*u + 10. Let k(h) = 5 - 4 + 2 + 0*h**2 + 3*h**2 + 5*h**3 - 5*h. Let l(d) = -10*k(d) + 3*n(d). Determine v so that l(v) = 0.
-1, 0, 1
Let h(u) = 310*u - 11866. Let x(i) = -i**2 - 1551*i + 59334. Let q(r) = -22*h(r) - 4*x(r). Find b, given that q(b) = 0.
77
Let z(u) = -5*u**3 - 40*u**2 - 63*u - 36. Let d(a) = a**3 - a**2 - 6*a. Let f(o) = 2*d(o) + z(o). Find h, given that f(h) = 0.
-12, -1
Let x(d) be the second derivative of d**5/4 - 5*d**4/3 + 25*d**3/6 - 5*d**2 - d - 34. Factor x(o).
5*(o - 2)*(o - 1)**2
Let q be (((-2020)/(-12))/5)/((-420)/9). Let i = 1/35 - q. Factor -l**3 + 0 + 1/2*l - 1/4*l**2 + i*l**4.
l*(l - 1)**2*(3*l + 2)/4
Let g(c) be the second derivative of -7*c**7/9 - 7*c**6/15 + 73*c**5/30 + 17*c**4/18 - 8*c**3/3 + 4*c**2/3 + 6*c + 6. Suppose g(f) = 0. Calculate f.
-1, 2/7, 1
Let z(o) be the second derivative of -o**8/756 + 8*o**7/945 - o**6/54 + 2*o**5/135 - 4*o**2 + 4*o. Let k(b) be the first derivative of z(b). Factor k(c).
-4*c**2*(c - 2)*(c - 1)**2/9
Let q(o) be the third derivative of o**7/630 - 13*o**6/360 + o**5/6 + 136*o**2. Let q(g) = 0. Calculate g.
0, 3, 10
Solve d**3 - 1117*d**2 - 1142*d**2 + 57*d + 2281*d**2 = 0.
-19, -3, 0
Let t be (2160/(-56))/5 + -7 + 6 + 9. Factor -4/7*f**4 + 16/7*f**2 + t*f**5 + 0*f - 8/7*f**3 + 0.
2*f**2*(f - 2)**2*(f + 2)/7
Suppose -c = 4*m + 4, m + 1 = 2*c + 9. Let p be (24/(-10) - -2)*40/(-32). Factor 0*j**3 + m - j + p*j**4 - 3/2*j**2.
j*(j - 2)*(j + 1)**2/2
Let l(g) be the second derivative of 13*g**6/210 + 67*g**5/140 - 17*g**4/21 - 2*g**3/7 - g + 167. Let l(q) = 0. What is q?
-6, -2/13, 0, 1
Let h(p) = p**2 - 9*p - 34. Let u(t) = -12*t**2 + 100*t + 376. Let i(k) = -32*h(k) - 3*u(k). What is d in i(d) = 0?
-2, 5
Suppose -197*x = -183*x. Find t, given that -5/4*t**2 + x - 5/2*t = 0.
-2, 0
Let g(f) = 14*f**3 - 66*f**2 - 107*f - 15. Let a(v) = 70*v**3 - 330*v**2 - 536*v - 72. Let y(h) = 3*a(h) - 16*g(h). Factor y(c).
-2*(c - 6)*(c + 1)*(7*c + 2)
Let o be -1 + -3 - (-1 + 1353/(-390)). Let m = 2/65 + o. Factor 1/4*z**2 - m + 1/4*z.
(z - 1)*(z + 2)/4
Let z(q) = q**2 - 3*q + 21. Let p be z(3). Let t = 40 + -19. Solve -p - l**2 + t = 0 for l.
0
Let m = -419 + 15085/36. Let t(y) be the first derivative of -1 - 1/12*y**2 - 1/6*y + 1/9*y**3 + 1/12*y**4 - 1/30*y**5 - m*y**6. Factor t(v).
-(v - 1)**2*(v + 1)**3/6
Solve 8*k + 52*k**3 - 31 + 16*k**4 + 44*k**2 + 11 + 20 = 0 for k.
-2, -1, -1/4, 0
Let l(d) be the third derivative of d**6/90 + 13*d**5/30 + 2*d**4 + 2*d**3/3 + 33*d**2. Let w(t) be the first derivative of l(t). Factor w(f).
4*(f + 1)*(f + 12)
Suppose 57*o + 15 = 15. Let v(l) be the second derivative of 0*l**2 + o*l**4 - 1/180*l**6 + 0*l**3 + 0*l**5 + 0 + l. Factor v(g).
-g**4/6
Let s = -1083 + 1085. Determine v so that 16/3*v + 2/3*v**s + 32/3 = 0.
-4
Let f be 0 - 7 - -1 - 3. Let z = 10 + f. Solve -z + 0*i**3 - 37*i + i**4 + 35*i + 2*i**3 = 0.
-1, 1
Let r(a) = a**2 + 2*a + 2. Let u(x) = x**2 + x + 2. Let o(v) = -4*r(v) + 3*u(v). Let g be o(-1). Determine y so that -8/5*y + 2/5 - 2/5*y**g + 8/5*y**3 = 0.
-1, 1/4, 1
Let c be ((-6846)/23961)/((-1)/(-10)*-1). Let -25/7*f**5 + 71/7*f**3 - 8/7 + c*f**4 - 110/7*f**2 + 52/7*f = 0. Calculate f.
-2, 2/5, 1
Let g(d) be the first derivative of d**6/30 - 39*d**5/25 + 28*d**4 - 680*d**3/3 + 600*d**2 + 2000*d - 106. Factor g(k).
(k - 10)**4*(k + 1)/5
Let h(p) be the first derivative of 3*p**4/4 - 7*p**3 + 18*p**2 - 1. Factor h(c).
3*c*(c - 4)*(c - 3)
Let v be -1 - (152/(-60)*10/6 + 3). Factor 4/9 + 2/3*z + v*z**2.
2*(z + 1)*(z + 2)/9
Suppose 5*u - 11 = 2*d + 8, 0 = 3*d + u - 14. Suppose 4*m = 3*q + 5 + d, -5*q - 2 = -m. Find f such that 1/5*f**2 - 1/5 + q*f = 0.
-1, 1
Let c(q) be the third derivative of -q**5/60 - 3*q**4/8 + q**2 - 8*q. Factor c(i).
-i*(i + 9)
Let h = -3730 - -26113/7. Factor 0 - h*n**2 + 6/7*n.
-3*n*(n - 2)/7
Let d be ((-44)/