0.
-4, 1
Suppose 3*f = -2*f. Let t be 22/(2112/(-36))*(-6)/9. Suppose 1/4*x**5 - 1/4*x**3 + f*x - t*x**2 + 1/4*x**4 + 0 = 0. What is x?
-1, 0, 1
Let j(b) be the third derivative of -b**8/84 - 4*b**7/35 - b**6/3 + 11*b**4/6 + 4*b**3 + 880*b**2. Solve j(a) = 0.
-3, -2, -1, 1
Let y(m) be the first derivative of -m**4/54 - 4*m**3/3 - 36*m**2 + 38*m + 13. Let h(w) be the first derivative of y(w). Factor h(i).
-2*(i + 18)**2/9
Let d = 239111 + -146335895/612. Let r = d + 11/68. Find s, given that -5/3*s**2 - 17/9*s - r = 0.
-1, -2/15
Let m(a) be the first derivative of 0*a - 1/2*a**2 + 7/3*a**3 - 2/3*a**6 + 13/5*a**5 + 109 - 15/4*a**4. What is w in m(w) = 0?
0, 1/4, 1
Let i = -594 - -597. Let c(f) be the first derivative of 12 - 1/6*f**i - 2*f**2 - 8*f. Factor c(t).
-(t + 4)**2/2
Let b(j) = 2*j**2 - 2*j + 14. Let c(o) = 14 + o + 10 - 36 + 11. Let p(q) = 2*b(q) + 28*c(q). Let p(k) = 0. What is k?
-6, 0
Let b = -234 + 244. Suppose -b*t = -17*t + 21. Let 2/5*f + 0 + 6/5*f**t - 2/5*f**4 - 6/5*f**2 = 0. Calculate f.
0, 1
Let g(t) be the first derivative of t**4/4 - t**2/2 - 2. Let z(r) = -6*r**4 + 27*r**3 - 30*r**2 - 31*r. Let p(f) = -5*g(f) - z(f). Determine n so that p(n) = 0.
-2/3, 0, 3
Let w be (2/(-8))/1*(-9 + -3). Suppose 0 = -w*s - 4*n - 0*n + 3026, 5*n = 25. Factor 6*v**2 - 14*v**3 - s - 2*v**5 + 10*v**4 + 1002.
-2*v**2*(v - 3)*(v - 1)**2
Let v(c) = 250*c - 85. Let z be v(-4). Let g = z - -7611/7. Find f, given that g*f + 32/7 + 2/7*f**2 = 0.
-4
Let j(u) be the third derivative of 2*u**5/5 + 13*u**4/8 + 5*u**3/2 - 2*u**2 + 31. Let t(h) = h**2 + 2*h + 1. Let b(w) = j(w) + 9*t(w). Factor b(z).
3*(z + 1)*(11*z + 8)
Factor 303/2*s + 102 - 3/4*s**3 + 195/4*s**2.
-3*(s - 68)*(s + 1)*(s + 2)/4
Factor 48/7*z**2 + 102/7*z + 52/7 - 2/7*z**3.
-2*(z - 26)*(z + 1)**2/7
Determine j so that 1/4*j**5 + 1/4*j**4 - 1/4*j**2 + 1/2*j - 3/4*j**3 + 0 = 0.
-2, -1, 0, 1
Let t = 101233/399 - 5121/19. Let k = 50/3 + t. Find v, given that -36/7*v**3 + 44/7*v**2 - 2/7*v**5 - 26/7*v + 2*v**4 + k = 0.
1, 3
Let u(n) be the third derivative of -n**8/504 + n**7/105 + 17*n**6/45 + 34*n**5/15 + 44*n**4/9 - 1618*n**2. What is d in u(d) = 0?
-4, -2, 0, 11
Let l(u) = u**3 + 61*u**2 - 67*u - 307. Let f be l(-62). Suppose -3*d + 15 = 3*o, 16*d - 17*d = -o - f. Factor 2/3*z**d + 0*z**3 + 0*z - 2/3*z**2 + 0.
2*z**2*(z - 1)*(z + 1)/3
Let 195 + 20*t**2 - 5/2*t**3 + 295/2*t = 0. What is t?
-3, -2, 13
Let h(q) be the first derivative of 0*q**2 - 1/9*q**3 + 1 + 3*q + 1/54*q**4. Let r(u) be the first derivative of h(u). Factor r(c).
2*c*(c - 3)/9
What is a in -126/5 + 3/5*a**5 - 123/5*a + 36/5*a**4 + 24*a**3 + 18*a**2 = 0?
-7, -3, -2, -1, 1
Determine s so that 0 - 56/9*s**3 - 4/3*s - 46/9*s**2 - 22/9*s**4 = 0.
-1, -6/11, 0
Suppose 0 = 10*b + 7 - 1497. Let u = -147 + b. Factor 274 - 2*d + 8*d + u*d**2 - 274.
2*d*(d + 3)
Factor -6/7*c**3 - 1/7*c**4 + 0 - 8/7*c + 15/7*c**2.
-c*(c - 1)**2*(c + 8)/7
Let k = -209 + 4. Let c = k + 247. Let 87*i + 12 - c*i**3 + 291/2*i**2 = 0. Calculate i.
-2/7, -1/4, 4
Factor 780*a - 356746891 + 5*a**3 - 4*a**3 + 356745595 - 68*a**2.
(a - 54)*(a - 12)*(a - 2)
Let i be -1 + 33566/30 + 456/3420. Let h = i + -1114. Determine m so that 0 - 6/19*m**3 - 2/19*m**5 + 0*m**2 + 0*m - 8/19*m**h = 0.
-3, -1, 0
Let k(u) be the third derivative of -u**8/6720 + u**7/840 - u**6/360 - 143*u**4/24 - 76*u**2. Let c(w) be the second derivative of k(w). Solve c(b) = 0.
0, 1, 2
Suppose -b**2 + 4*b**2 - 75 - 5430*b + 5440*b + b**2 + b**2 = 0. Calculate b.
-5, 3
Let g(z) = -325*z**3 - 9660*z**2 - 192925*z + 425340. Let u(h) = 14*h**3 + 420*h**2 + 8388*h - 18493. Let w(f) = 3*g(f) + 70*u(f). Suppose w(t) = 0. What is t?
-43, 2
Determine s so that 238*s**2 + 12*s**3 - 1173*s**2 - 17*s**3 - 1140*s**2 = 0.
-415, 0
Let c be (-4*(-8)/(-16))/1. Let g be ((-1)/c)/(61/61). Solve -q**2 + 0 - 1/2*q**3 - g*q = 0.
-1, 0
Find o such that -14*o**4 - 17642*o**2 - 2031/2*o**3 + 9583 + 57165/2*o = 0.
-37, -2/7, 7/4
What is u in -1197*u**3 - 39497*u**4 + 39380*u**4 - u - 3*u**5 + u - 1083*u**2 = 0?
-19, -1, 0
Let i(y) be the first derivative of 2/27*y**3 - 50 + 2/3*y**2 - 6*y. Factor i(n).
2*(n - 3)*(n + 9)/9
What is n in 10/7*n**4 + 0*n - 4/7*n**2 + 0 + 6/7*n**3 = 0?
-1, 0, 2/5
Suppose 1912 - 5637 - 2399 = -3062*v. Solve -106/19*t - 104/19*t**v - 2/19 = 0 for t.
-1, -1/52
Let w(x) be the third derivative of 0*x**3 - 11/420*x**5 - x**2 + 0*x**4 + 40*x + 0 - 1/840*x**6. Determine j, given that w(j) = 0.
-11, 0
Let t(x) be the second derivative of 0*x**2 + 0 - 1/80*x**5 - 1/12*x**4 - 3/2*x**3 + 1/720*x**6 - x. Let i(u) be the second derivative of t(u). Factor i(k).
(k - 4)*(k + 1)/2
Let q(z) be the first derivative of 13 + 1/120*z**6 + 0*z + 1/24*z**4 - 1/30*z**5 - 7*z**2 + 0*z**3. Let i(c) be the second derivative of q(c). Factor i(p).
p*(p - 1)**2
Let f be (-1 + -3)*(2/16)/((-75)/300). Let y(b) be the first derivative of 2/9*b**3 - 1/6*b**4 - 3 + 0*b - 1/12*b**f. Solve y(x) = 0 for x.
0, 1/2
Suppose -80*q = -316*q. Let n(i) be the first derivative of 1/18*i**4 + 2/3*i**2 + q*i - 20 + 10/27*i**3. Factor n(l).
2*l*(l + 2)*(l + 3)/9
Suppose -14*r - 12*r = 3*r. Factor 3/8*t**4 + r - 15/8*t**3 + 3/4*t**2 + 3*t.
3*t*(t - 4)*(t - 2)*(t + 1)/8
Factor -2/3*c**2 - 100/3*c + 0.
-2*c*(c + 50)/3
Let w be 27/5 - 6/15. Suppose -3*b + 2*b = -w. Suppose b*p**4 + 2*p**3 - 6*p**4 + p**3 = 0. What is p?
0, 3
Let j(t) be the second derivative of -t**4/4 - 163*t**3/7 + 423*t**2/14 + 24*t + 38. Factor j(z).
-3*(z + 47)*(7*z - 3)/7
Suppose 0 = 2*c - 4*f - 180, -381 = -4*c - 24*f + 25*f. Let l be (c/4)/(-12) + 2. Find i, given that 3/7*i**3 - 9/7*i**2 + 6/7*i + l = 0.
0, 1, 2
Let z(k) = -37*k**2 + 64*k - 101. Let j(h) be the third derivative of -13*h**5/60 + 7*h**4/8 - 17*h**3/3 - 10*h**2. Let n(v) = -11*j(v) + 4*z(v). Factor n(l).
-5*(l - 3)*(l - 2)
Suppose 488 = -6*l + 68. Let q be (((-4)/30)/((-14)/l))/(-2). Factor -2/3*u**3 - q*u**4 + 0 + 0*u - 1/3*u**2.
-u**2*(u + 1)**2/3
Let b be (3 - 52/18)*160/64. Let n(u) be the second derivative of 33*u + b*u**3 + 0 + 1/3*u**2 - 1/3*u**4. Find t, given that n(t) = 0.
-1/4, 2/3
Let f(l) = 7*l**2 - 511*l + 649. Let g(m) = 6*m**2 - 538*m + 648. Let k(j) = -4*f(j) + 5*g(j). Factor k(z).
2*(z - 322)*(z - 1)
Let u be (2/(-6))/(1/(-15)). Factor 11*d**u - 38*d**5 + 11*d**5 + 14*d**5 - 16*d**2 + 8*d**3 + 4*d**4.
-2*d**2*(d - 2)**2*(d + 2)
Factor -18/7*g**2 - 80/7*g + 96/7 + 2/7*g**3.
2*(g - 12)*(g - 1)*(g + 4)/7
Let a(b) be the third derivative of -b**9/211680 - b**8/35280 + 2*b**5/3 - 2*b**2 - 2. Let i(p) be the third derivative of a(p). Find v, given that i(v) = 0.
-2, 0
Let i(q) = -3*q**4 + q**3 - q**2 + 1. Let j(t) = -16*t**4 - 478*t**3 + 1450*t**2 - 1457*t + 491. Let l(w) = 5*i(w) - j(w). Find m, given that l(m) = 0.
-486, 1
Determine p so that -59/2*p**3 + 225/2*p - 210*p**2 - p**4 + 0 = 0.
-15, 0, 1/2
Suppose 5*g = -4*o - 5, 9*g + 4*o = 8*g - 17. Suppose g*v**2 + 74 - 4*v - 14 + 8*v + 32*v = 0. What is v?
-10, -2
Let v(g) be the third derivative of -g**6/30 - 494*g**5/5 - 35*g**2 - g - 125. Factor v(n).
-4*n**2*(n + 1482)
Suppose 11*s + 850 = -6*s. Let x be 7/(63/6) + s/(-15). Solve 1/3 + 1/2*i**3 - 1/6*i**x - 1/6*i**2 - 1/2*i = 0.
-1, 1, 2
Let o = -1323 + 1325. Let k(r) be the third derivative of 0*r - 1/210*r**7 - 1/60*r**5 + 0 - 7*r**o + 0*r**4 + 0*r**3 - 1/60*r**6. Solve k(b) = 0 for b.
-1, 0
Let c(s) be the third derivative of s**7/525 - 41*s**6/300 + 151*s**5/150 - 37*s**4/20 + 20*s**2 - 2*s + 87. Suppose c(o) = 0. What is o?
0, 1, 3, 37
Let y(k) be the second derivative of -k**5/10 + 88*k**4/3 + 179*k**3/3 - 354*k**2 - 2184*k. Find c, given that y(c) = 0.
-2, 1, 177
Determine a so that -472*a**3 + 71851*a**4 - 71811*a**4 - 40*a + 148*a**3 - 32*a - 316*a**2 = 0.
-1/2, -2/5, 0, 9
Suppose -3*g + 3*i - 13 = 11, 5*g + 5*i = -10. Let k = g + 7. Find j, given that -38*j - 35*j - 3*j**k + 82*j = 0.
0, 3
Let t(q) be the third derivative of q**8/504 + 32*q**7/105 + 461*q**6/180 + 271*q**5/45 - 31*q**4/3 - 728*q**3/9 + 1495*q**2. Determine n so that t(n) = 0.
-91, -2, 1
Let o(m) be the second derivative of m**5/135 + 2*m**4/27 - 42*m**2 + 19*m. Let f(j) be the first derivative of o(j). Find x such that f(x) = 0.
-4, 0
Suppose -3*q = -19*q + 6768. Find n such that 676 - 419*n**2 + n - 105*n +