 = 0.
-1, 1, 3
What is f in -28/3*f**3 + 80/3*f - 64 + 2/3*f**5 - 2*f**4 + 24*f**2 = 0?
-3, -2, 2, 4
Determine q, given that 123/7*q + 177/7*q**4 + 6 - 12/7*q**5 - 111/7*q**3 - 219/7*q**2 = 0.
-1, -1/4, 1, 14
Let h be (16/6 + -3)/((-7)/189). Suppose -5*i - 5*v = 15, -4*i - 3*v = -6*i + h. Solve 0*t - 1/6*t**3 + i + 1/3*t**2 - 1/6*t**4 = 0 for t.
-2, 0, 1
Let s be ((-18872)/23590)/((-3*1)/1 - -1). Suppose -s*o**2 + 0*o + 2/5 = 0. What is o?
-1, 1
Let u(f) = -5*f**2 + 4415*f - 8870. Let y(g) = -5*g**2 + 4416*g - 8860. Let l(j) = -4*u(j) + 5*y(j). What is p in l(p) = 0?
2, 882
Suppose 121*x + 270 = 115*x. Let n = -133/3 - x. Solve -1/3*g**3 + 2/3*g**2 + 1/3*g - n = 0.
-1, 1, 2
Let v(k) = 15*k**3 + k**2 - 11*k - 20. Let u(l) = 2*l**3 + l**2 + 1. Let n(y) = -8*u(y) + v(y). Let o be n(-6). Factor -3/2*r**o + 0 + r + 1/2*r**3.
r*(r - 2)*(r - 1)/2
Solve 156 - 1366 - n**2 - 4*n**2 + 375 + 155 + 190*n = 0.
4, 34
Let c be (-21)/(-6) + (-583)/(-22). Determine j, given that -525*j**2 + 108 + 60 + c*j + 522*j**2 = 0.
-4, 14
Factor -22*j**2 - 70725*j**3 - 82*j - 122*j + 70727*j**3.
2*j*(j - 17)*(j + 6)
Suppose 8/11*m**5 - 144/11*m - 252/11*m**2 + 30/11*m**4 - 62/11*m**3 + 0 = 0. What is m?
-4, -2, -3/4, 0, 3
Let z(q) = 115*q**2 + 2150*q - 2141. Let x(i) = 174*i**2 + 2151*i - 2139. Let o(r) = 2*x(r) - 3*z(r). Find b such that o(b) = 0.
1, 715
Let c(d) be the second derivative of 17/45*d**3 + 15*d - 7/225*d**6 + 19/30*d**4 - 2/3*d**2 + 23/150*d**5 - 5. Find b, given that c(b) = 0.
-1, 2/7, 5
Let f = 34751/27 + -1287. Let a(r) be the first derivative of -f*r**3 + 2/3*r**2 - 2*r - 9. Factor a(w).
-2*(w - 3)**2/9
Let o(s) = 43*s + 129. Let c be o(-3). Let x(a) be the second derivative of 1/6*a**2 + c - 1/40*a**5 + 1/12*a**3 - 1/180*a**6 - 18*a - 1/72*a**4. Factor x(w).
-(w - 1)*(w + 1)**2*(w + 2)/6
Let z(w) be the third derivative of w**8/336 - 47*w**7/70 + 277*w**6/60 - 413*w**5/30 + 183*w**4/8 - 137*w**3/6 + 678*w**2. Factor z(u).
(u - 137)*(u - 1)**4
Let s = -88581 - -88981. Determine a so that 12*a**3 - 120*a**2 + 0 - 2/5*a**4 + s*a = 0.
0, 10
Suppose -q - 22 + 25 = 0. Factor -500*n**2 - q + 0 - 10 + 300*n - 32.
-5*(10*n - 3)**2
Let q(t) be the first derivative of t**4/54 - 8*t**3/9 - 25*t**2/9 + 32*t + 93. Let o(g) be the first derivative of q(g). Factor o(b).
2*(b - 25)*(b + 1)/9
Let c(g) be the third derivative of 11*g**8/448 - 13*g**7/84 + 31*g**6/120 + g**5/30 - 2069*g**2. Suppose c(x) = 0. Calculate x.
-2/33, 0, 2
Let v(o) be the third derivative of -o**6/600 - 9*o**5/50 - 203*o**4/40 + 1682*o**3/15 - 738*o**2. Determine f, given that v(f) = 0.
-29, 4
Let t = -1015 - -1578. Let k = -4 - -7. What is i in -563*i + 3*i**2 - 4 + t*i - i**k = 0?
-1, 2
Solve 5*i**4 - 150*i + 65*i**2 - 386*i**3 - 354*i**3 + 820*i**3 = 0.
-15, -2, 0, 1
Let z = -1103879/3 - -367969. Determine s, given that -29/3*s - z - 1/3*s**2 = 0.
-28, -1
Let k(d) = -d**3 + 2*d**2 + 3. Let m be k(2). Suppose 7*t - m*t = 48. Determine x so that -12*x**3 + x**2 + 0*x**4 - 10*x**2 + t - 3*x**4 + 12*x = 0.
-2, -1, 1
Let y(i) = i**3 - 7*i**2 + 15*i - 21. Let c be y(5). Let -27*h**2 + 4617 + 3*h**c - 24*h**3 - 4617 = 0. Calculate h.
-1, 0, 9
Let d = 868 - 865. Suppose -d*k + 9 = 0, 2*z - 5*z + k + 15 = 0. Factor 72/5*x**2 + z*x**3 + 3/5*x**4 - 15 - 6*x.
3*(x - 1)*(x + 1)*(x + 5)**2/5
Factor 4204/19*l**2 - 4426816/19 - 2204992/19*l - 2/19*l**3.
-2*(l - 1052)**2*(l + 2)/19
Let n(a) be the first derivative of -5/2*a**2 - 30*a + 5/3*a**3 + 45. Determine o so that n(o) = 0.
-2, 3
Let u(c) be the first derivative of -7*c**4/18 - 284*c**3/27 + 107*c**2/9 + 28*c/3 - 532. Let u(r) = 0. What is r?
-21, -2/7, 1
Let w = -17149 + 17153. Let q(l) be the first derivative of -2/5*l**2 + 8/5*l + 21 + 1/20*l**w - 2/15*l**3. Let q(g) = 0. What is g?
-2, 2
Suppose -5*s + 7*s + 0*s = -10*s. Let c(k) be the third derivative of k**3 + 1/8*k**4 + 0 + s*k - 1/20*k**5 + 18*k**2. Factor c(y).
-3*(y - 2)*(y + 1)
Let h(v) be the second derivative of -31*v**4/10 + 219*v**3/5 - 42*v**2/5 + 3805*v - 1. Factor h(y).
-6*(y - 7)*(31*y - 2)/5
Determine o so that -182/11*o + 0 - 40/11*o**2 - 2/11*o**3 = 0.
-13, -7, 0
Suppose 52*q + 20*q - 20 + 20 = 0. Factor q + 10/9*h**2 + 2/9*h.
2*h*(5*h + 1)/9
Factor -100/7*k**2 + 324/7*k - 72/7.
-4*(k - 3)*(25*k - 6)/7
Solve -31 + 49/3*d**3 - 4543/3*d**2 - 1301/3*d = 0.
-1/7, 93
Let i(m) = -315*m**2 + 52*m + 99. Let z be i(-2). Let n = z + 8857/7. Factor -18/7*p**3 + 0 + n*p**4 - 2*p + 30/7*p**2.
2*p*(p - 7)*(p - 1)**2/7
Factor -535*w - 1346 - 1427 + 5*w**2 + 1683.
5*(w - 109)*(w + 2)
Let l(q) = q**2 + 184*q + 2879. Let n(b) = -183*b - 2877. Let h(x) = -x**2 + 23*x - 93. Let w be h(18). Let y(r) = w*l(r) - 2*n(r). Factor y(u).
-3*(u + 31)**2
Suppose 15*m - 9*m - 24 = 0. Determine j, given that 40*j**4 - 33*j**3 - 14*j**m - 23*j**4 = 0.
0, 11
Suppose -25*s + 74 - 24 = 0. What is u in -2*u**s + 18 - 4*u**4 - 12*u - 26 + 5*u**4 + 3*u**3 = 0?
-2, -1, 2
Let u(x) be the second derivative of -7*x**6/15 - 239*x**5/5 - 1949*x**4/6 - 1862*x**3/3 - 384*x**2 - 207*x. Suppose u(l) = 0. Calculate l.
-64, -3, -1, -2/7
Let c(q) be the first derivative of q**8/5040 - q**7/2520 - q**6/180 - 152*q**3/3 + 147. Let r(f) be the third derivative of c(f). Factor r(h).
h**2*(h - 3)*(h + 2)/3
Let s = 31201/155855 + -6/31171. Let l = -2 - -4. Factor 0 - s*b - 1/5*b**l.
-b*(b + 1)/5
Let p be 2816/6864*(-9)/(-2)*1. Factor -32/13 + 0*x**2 - p*x + 2/13*x**3.
2*(x - 4)*(x + 2)**2/13
Factor -75*k + 3/4*k**3 + 0 + 3/8*k**4 - 165/8*k**2.
3*k*(k - 8)*(k + 5)**2/8
Let z(n) = -n**2 + n + 9. Let m(l) = 2*l**3 + 58*l**2 + 506*l + 1314. Let b(j) = -2*m(j) + 4*z(j). Solve b(i) = 0 for i.
-18, -6
Solve -1852*j - 300*j**2 - 4 + 296*j**2 - 1844 = 0 for j.
-462, -1
Let k(u) = 8*u**2 + 320*u + 2560. Let g be k(-29). Find o, given that -g - 4/3*o**2 + 74/3*o - 2*o**3 = 0.
-4, 1/3, 3
Let y(n) = 7*n**2 + 11*n - 77. Let w(m) = 7*m**2 + 12*m - 78. Let q(h) = 3*w(h) - 2*y(h). Let g(i) = -i**2 - 2*i + 2. Let c(t) = 4*g(t) + q(t). Factor c(l).
3*(l - 4)*(l + 6)
Let k be (3 - 3/3) + -267. Let f be (-1)/2 - (0 - k/(-10)). Let 7*d**2 - 3*d**2 + 390*d**4 - 376*d**4 - 2*d + f*d**3 + 6*d**2 = 0. Calculate d.
-1, 0, 1/7
Let g = 8675/268 - -35/268. Factor -g*i + 0 + 5/2*i**2.
5*i*(i - 13)/2
Suppose 5*x - 27 = -d, 0 = -2*d + 3*d - x + 3. Suppose d*i + 4 = 22. Find u such that -u + 1 - 13*u**2 - 2 + i*u + 6*u**3 = 0.
1/6, 1
Let d = 82 - 82. Suppose d = 2*s + 3*s - 20. Factor -12*o + 0*o - o**4 - 15*o**s + 20*o**3 + 8*o**2.
-4*o*(o - 1)**2*(4*o + 3)
Suppose -5*m + 8*b + 9 = 12*b, -2*m + 6 = b. Let -52*y**4 - m*y**5 + 2950*y**2 - 8*y**4 + 65*y**3 - 2950*y**2 = 0. Calculate y.
-13, 0, 1
Let g(l) be the second derivative of l**5/15 + 152*l**4/3 - 914*l**3/9 + 12630*l. Factor g(n).
4*n*(n - 1)*(n + 457)/3
Let i = 807/5 + -159. Let r = 4004 - 4001. Factor -3/5*m**r - i - 6/5*m**2 + 21/5*m.
-3*(m - 1)**2*(m + 4)/5
Let x(j) be the second derivative of -1/7*j**7 + 11/35*j**5 - 22/105*j**6 - 2/7*j**2 - j - 1/21*j**3 + 4/7*j**4 - 1. Determine d, given that x(d) = 0.
-1, -1/3, 2/7, 1
Let n(h) be the first derivative of 5*h**6/24 - 11*h**5/20 - 15*h**4/8 + 23*h**3/3 - 7*h**2 + 4062. Solve n(y) = 0.
-14/5, 0, 1, 2
Let l(f) be the first derivative of f**6/60 + f**5/20 - f**3/6 - f**2/4 - 37*f + 44. Let u(s) be the first derivative of l(s). Determine b, given that u(b) = 0.
-1, 1
Let h = -296 - -360. Suppose -h + 19 = -15*l. Solve -1/3*u + 1/3*u**l + 2/3*u**2 - 1/6*u**4 - 1/2 = 0 for u.
-1, 1, 3
Suppose 2*l = -v - 60, 0 = 2*v + 13 - 5. Let n = -23 - l. Suppose -n*o**2 - o - o + 7*o = 0. Calculate o.
0, 1
Suppose 2*m = -4, -591 = -h + 6*m - 11*m. Suppose h = -x + 603. Factor 6/5*a**x - 2/5*a**3 + 3/5*a**5 - 1/5 - a**4 - 1/5*a.
(a - 1)**3*(a + 1)*(3*a + 1)/5
Let y(q) be the second derivative of 5*q**6/6 - q**5/4 - 25*q**4/4 + 65*q**3/6 - 5*q**2 + 962*q. Determine l, given that y(l) = 0.
-2, 1/5, 1
Let f = 9 + 0. Suppose -3 = -6*x + f. Factor -27*v - 24*v**3 + 202 - 218 - 4*v**4 - 21*v - 52*v**x.
-4*(v + 1)**2*(v + 2)**2
Let k(m) be the third derivative of m**7/70 - 183*m**6/40 + 4139*m**5/10 + 1104*m**4 - 8464*m**3 - 1938*m**2. Let k(u) = 0. Calculate u.
-2, 1, 92
Let i be (1390/100 + -14)/(2/(-20)*3). Let o(l) be the first derivative of 41 + i*l - 1/4*l**2 + 1/18*l**3. Wha