6*f + 126. Let n be p(16). Let x be (72/(-33))/(-4) + n/(-55). Suppose x - 1/2*j**2 - 3/2*j = 0. What is j?
-3, 0
Let u(j) = -53*j**2 - 13671*j + 3046. Let i(l) = -55*l**2 - 13660*l + 3045. Let z(w) = 4*i(w) - 5*u(w). Factor z(p).
5*(p + 305)*(9*p - 2)
Let b(z) = -z**2 - z. Let i = -68 + 67. Let y(f) be the second derivative of f**5/20 - f**4/12 - 2*f**3/3 - 2*f. Let a(g) = i*y(g) + 2*b(g). Factor a(q).
-q*(q - 1)*(q + 2)
Suppose 0 = -4*d - 1619 + 1643. Suppose 12 = 4*a, -s - 5*a = -d*a + 1. Determine g, given that 0*g - 1/3*g**4 + 0*g**3 - 1/3 + 2/3*g**s = 0.
-1, 1
Suppose -j = -4*s + 56484, 3*s - 4*j - 10237 = 32113. Factor 45*h - 5*h**2 - 14122 + s.
-5*h*(h - 9)
Find d, given that -72*d - 26208*d**2 - 2*d**3 + 26294*d**2 - 588*d = 0.
0, 10, 33
Let o be 2 - (4 + 11/(-5)). Let b be (1/(-10))/(4/(-16)). Factor -b*x**2 + o + 1/5*x**4 - 1/5*x**5 - 1/5*x + 2/5*x**3.
-(x - 1)**3*(x + 1)**2/5
Let -4/5*n**2 + 152/5*n - 192 = 0. What is n?
8, 30
Let o = 4450 + -4448. Let z(v) be the third derivative of 5/96*v**4 + 5/12*v**3 - 1/96*v**6 - 1/24*v**5 + 0*v - 33*v**o + 0. Suppose z(s) = 0. What is s?
-2, -1, 1
Find i, given that -22*i**2 - 2/9*i**4 + 202/9*i - 202/9*i**3 + 200/9 = 0.
-100, -1, 1
Determine v so that -32*v**4 - 140/9*v**5 + 181/9*v**2 + 89/9*v**3 - 4/9 - 20/3*v = 0.
-2, -1, -2/35, 1/2
Let v be -13 + (22 + -24)/((-6)/39). Solve 1/3*y**2 + v - y = 0.
0, 3
Let a(o) be the second derivative of -o**5/80 + 7*o**4/48 + 41*o**3/24 + 33*o**2/8 - 3*o + 12. What is g in a(g) = 0?
-3, -1, 11
Suppose -k - t = 13, 0 = -k - 3*k - t - 58. Let a be ((-2)/(-5))/((-3)/k). Solve -9*w**3 + 4*w**3 + 8*w**3 - 9*w**2 + 4 + a + 3*w**4 - 3*w = 0 for w.
-2, -1, 1
Let v(z) = -2*z**2 - 118*z - 150. Let p(s) = 12 - s**2 - 55 - 7 - 39*s. Let n(j) = 17*p(j) - 6*v(j). Determine g, given that n(g) = 0.
-1, 10
Let t be 1/(-2) - 259/666*1271/(-217). Factor -20/9*j - 4/9 - t*j**2.
-4*(j + 1)*(4*j + 1)/9
Let l be ((-1909)/3)/(16 + -29 - -14). Let d = l + 13459/21. Determine u so that 10/7*u**3 - d*u - 1/7*u**4 + 128/7 - 24/7*u**2 = 0.
-2, 4
Let c(y) be the first derivative of -20*y - 5/3*y**3 + 5*y**5 + 20*y**2 - 35/4*y**4 + 51 - 5/6*y**6. What is n in c(n) = 0?
-1, 1, 2
Let t(a) be the third derivative of a**7/630 + a**6/90 + a**5/30 - 17*a**4/6 + 2*a**2 - 2*a. Let d(k) be the second derivative of t(k). Let d(j) = 0. What is j?
-1
Factor -15*j**3 - 9*j**5 + 14*j**5 - 37*j**3 + 60*j + 7*j**3 - 20*j**2.
5*j*(j - 3)*(j - 1)*(j + 2)**2
Let h = 709776/7 - 101396. Solve 0*b + 0 + h*b**5 + 768/7*b**3 + 96/7*b**4 + 2048/7*b**2 = 0 for b.
-8, 0
Let a(v) be the first derivative of -v**3/3 - 70*v**2 - 276*v + 4769. Find p, given that a(p) = 0.
-138, -2
Let s = 7 - 9. Let n(i) = i**3 + 4*i**2 + 4*i - 9. Let q(u) = -56*u**2 - 3*u - 58*u**2 + 5*u - 4 + 116*u**2. Let k(g) = s*n(g) + 5*q(g). Factor k(f).
-2*(f - 1)**2*(f + 1)
Let p be 5/(-6) + 2828/2424. Find d, given that 2/3*d - p*d**2 - 1/3*d**3 + 0 = 0.
-2, 0, 1
Let h(u) be the second derivative of 5/6*u**3 - 3/2*u**2 + 1/36*u**5 - 18*u + 5/18*u**4 + 0. Let s(i) be the first derivative of h(i). Factor s(q).
5*(q + 1)*(q + 3)/3
Let z = 36 + -23. Let t(q) = -87*q - 1 + 0*q**2 + 75*q + z*q**2. Let u(h) = -40*h**2 + 36*h + 4. Let c(o) = -8*t(o) - 3*u(o). Suppose c(x) = 0. Calculate x.
-1/4, 1
Let i be 4/(8/(-38)) - -19. Let o(f) be the first derivative of i*f + 0*f**3 + 24 - 1/6*f**4 + 3*f**2. Factor o(t).
-2*t*(t - 3)*(t + 3)/3
Factor 3482*s**3 - 260*s**2 - 4*s**4 + 140*s - 308*s - 3578*s**3.
-4*s*(s + 1)*(s + 2)*(s + 21)
Let s(n) be the first derivative of n**5 - 260*n**2 - 35/2*n**4 + 100*n**3 + 320*n - 15. Determine d, given that s(d) = 0.
2, 8
Let k(t) be the first derivative of 11*t**2 + 56 + 14 + 28*t**3 + 2*t**4 + 2*t**3 + 8. Suppose k(s) = 0. What is s?
-11, -1/4, 0
Find o, given that -1177/5*o - 1/5*o**2 + 1178/5 = 0.
-1178, 1
Let x(n) be the second derivative of -n**6/18 + n**5/10 + 3*n**4/4 + 8*n**3/9 - 213*n + 8. Find z such that x(z) = 0.
-1, 0, 16/5
Let z(i) = -850*i**2 + 1500*i - 3240. Let b(s) = -73*s**2 + 125*s - 270. Let g(w) = 35*b(w) - 3*z(w). Factor g(y).
-5*(y - 2)*(y + 27)
Let v be (-1 + 2)/(-2 + (-81)/(-36)). Suppose 3*b**v - b**3 + 14*b**3 - b**3 - 12*b**2 - 6*b**4 = 0. What is b?
0, 2
Let t(c) be the first derivative of 22/9*c + 104 + 10/9*c**2 - 2/27*c**3. Factor t(j).
-2*(j - 11)*(j + 1)/9
Let w = -1837/7 - -267. Let v be 3868/210 + (-48)/360. Factor w*b - v - 2/7*b**2.
-2*(b - 8)**2/7
Let v(z) be the first derivative of -2*z**5/25 + 9*z**4/5 - 56*z**3/5 + 152*z**2/5 - 192*z/5 - 1065. Suppose v(b) = 0. Calculate b.
2, 12
Suppose 0 = 276*j + 432*j - 2124. Find a such that 6/17*a + 0 + 4/17*a**2 - 2/17*a**j = 0.
-1, 0, 3
Let a = 1679426/3 - 559806. Factor -2/3*t**2 - a*t + 8.
-2*(t - 2)*(t + 6)/3
Let x(t) be the third derivative of t**7/210 + 5*t**6/24 - 53*t**5/60 + 9*t**4/8 + 900*t**2. Find b such that x(b) = 0.
-27, 0, 1
Let o(y) be the first derivative of -3*y**4/8 - 31*y**3 + 195*y**2 - 396*y + 3597. What is d in o(d) = 0?
-66, 2
Let c(m) be the third derivative of -m**6/30 - 34*m**5/15 - 31*m**4/2 + 1506*m**2. Factor c(y).
-4*y*(y + 3)*(y + 31)
Factor 33/2*d + 9 - 3*d**2.
-3*(d - 6)*(2*d + 1)/2
Let y be 5/(((-25740)/176)/(-117)). Solve -8/3 - y*u**3 - 8/3*u**2 + 28/3*u = 0 for u.
-2, 1/3, 1
Let c(y) = -28*y**5 - 1795*y**4 + 13976*y**3 - 19564*y**2 - 22814*y - 5052. Let g(q) = 3*q**5 - 2*q - 4. Let p(r) = c(r) + g(r). Suppose p(b) = 0. Calculate b.
-79, -2/5, 4
Let s(m) = -2*m**3 - 108*m**2 + 1296*m - 5179. Let q(b) = -5178 - 603*b**2 + 1296*b + 1056*b**2 - 561*b**2 - 3*b**3. Let j(t) = 5*q(t) - 6*s(t). Factor j(o).
-3*(o - 12)**3
Let p(v) = 5*v**4 - 179*v**3 - 157*v**2. Let k(i) = -i**4 + 44*i**3 + 39*i**2. Let c(h) = -9*k(h) - 2*p(h). Let c(o) = 0. What is o?
-37, -1, 0
Find t such that 0 - 1/9*t**3 + 25/3*t + 74/9*t**2 = 0.
-1, 0, 75
Let p = -395136/5 + 79040. Solve -32/5 - 2/5*k**4 - 16/5*k**3 - 48/5*k**2 - p*k = 0 for k.
-2
Let l(m) = m**3 + 26*m**2 + 2*m + 55. Let p be l(-26). Suppose -2*o**p - 11*o**2 + 7*o**3 + 8*o**2 - 2*o**3 = 0. What is o?
0, 1
Suppose 55*l = 54*l - 126. Let i be (8 - (-1053)/l)*(-14)/20. Determine n, given that 3/4*n + 1/2 + i*n**2 = 0.
-2, -1
Suppose 939*m + 31 = 869*m + 31. Factor 3/4*h**4 - 3/2*h**3 - 9/4*h**2 + m*h + 0.
3*h**2*(h - 3)*(h + 1)/4
Suppose -382/13*w**3 + 256/13 + 2/13*w**5 - 134/13*w**2 + 380/13*w - 122/13*w**4 = 0. Calculate w.
-2, -1, 1, 64
Let s(i) be the second derivative of i**6/20 - 93*i**5/20 + 59*i**4/8 + 61*i**3/2 + 6074*i. Factor s(x).
3*x*(x - 61)*(x - 2)*(x + 1)/2
Let k(o) be the third derivative of 2/9*o**3 + 7/540*o**5 - 5*o**2 + 0*o + 1/1080*o**6 + 9 + 2/27*o**4. Let k(y) = 0. What is y?
-3, -2
Factor 0 - 44/9*k + 68/9*k**2.
4*k*(17*k - 11)/9
Let j(t) be the second derivative of -t**6/6 - 19*t**5/2 + 605*t**4/12 - 205*t**3/3 + 281*t + 2. Find n such that j(n) = 0.
-41, 0, 1, 2
Suppose 0 = -y + 6*y + 75. Let a be (-12 - -7)/(y/18). What is i in 4*i**2 - i**4 - 15*i**3 + a*i**4 + 10*i - 9*i**2 + 3*i**5 + 2*i**5 = 0?
-2, -1, 0, 1
Let t(d) = 2*d**2 + 282*d + 560. Let c be t(-2). Let o(k) be the third derivative of 1/56*k**c - 1/420*k**5 + 0*k + 2/21*k**3 + 15*k**2 + 0. Factor o(z).
-(z - 4)*(z + 1)/7
What is c in -16/3*c**2 + 0 + 29/6*c**3 + 2*c - 5/3*c**4 + 1/6*c**5 = 0?
0, 1, 2, 6
Suppose 2*v + 91 = 151. Suppose 2*h - v = 2*z - 24, 5*h + 5*z = 15. Suppose -5/3 + 5/3*c**h - 5/3*c + 5/3*c**2 = 0. What is c?
-1, 1
Let l(m) = -1253*m + 2510. Let k be l(2). Solve -6/7*a - 15/7*a**2 - 12/7*a**3 + 0 - 3/7*a**k = 0 for a.
-2, -1, 0
Let t(p) be the third derivative of -p**5/140 - 205*p**4/14 + p**2 - 392*p. Suppose t(o) = 0. What is o?
-820, 0
Let q be ((-9)/(-4))/((-6)/(-32)). Factor q + 675*l**4 + 463*l + 1220*l**2 + 1710*l**3 - 183*l - 12 - 135*l**5.
-5*l*(l - 7)*(3*l + 2)**3
Let h(o) be the second derivative of 325*o**4/12 + 995*o**3/6 + 30*o**2 - 2896*o. Determine i, given that h(i) = 0.
-3, -4/65
Let y(c) be the first derivative of c**6/2 - 9*c**5/5 - 3*c**4/2 + 12*c**3 - 12*c**2 + 1248. Determine k so that y(k) = 0.
-2, 0, 1, 2
Factor 157/6*f - 77 - 1/6*f**2.
-(f - 154)*(f - 3)/6
Suppose 0 = -6*a - 5*a + 6270. Solve a*t**4 + 8*t**2 - 12*t**3 - 566*t**4 - 4*t + 4*t = 0.
0, 1, 2
Let v(k) be the first derivative of -3*k**5/20 + k**4/4 + k**3/2 - 3*k**2