*2/2
Solve -1029/2 + 0*y**2 + 3/4*y**3 - 441/4*y = 0.
-7, 14
Let s(g) be the first derivative of -338/9*g - 2/27*g**3 + 60 - 26/9*g**2. Determine c so that s(c) = 0.
-13
Let g = 606/865 + 171/3460. Factor -3/4*q**2 + 3/4 - g*q + 3/4*q**3.
3*(q - 1)**2*(q + 1)/4
Let t be (42185/(-1650) - -63) + (-2)/(-30). Determine v, given that -15/2*v**2 + 0 - t*v - 3/8*v**3 = 0.
-10, 0
Suppose f + 1 = 0, 0 = -3*y + y - 2*f + 38. Suppose 0 = -5*m - y, m + m + 20 = p. Let 0*c + c**3 + 3*c**3 + 25 + p*c**2 - 4*c - 37 = 0. Calculate c.
-3, -1, 1
Let y(n) be the first derivative of 0*n + 1/6*n**5 - 5/24*n**4 + 0*n**3 - 9 - 6*n**2 + 1/8*n**6. Let m(q) be the second derivative of y(q). Factor m(s).
5*s*(s + 1)*(3*s - 1)
Factor -2425/4*l - 1/4*l**2 + 0.
-l*(l + 2425)/4
Let z be (112/(-88))/(6/(-33)). Suppose 5*i = -9*j + z*j + 19, i = 4*j - 5. Find u, given that -2*u**2 + 0 - 2/3*u**4 - 2/3*u - j*u**3 = 0.
-1, 0
Let y = 7363 - 7343. Let p(g) be the first derivative of 0*g**4 - y + 2/9*g**3 + 0*g**2 - 2/15*g**5 + 0*g. Factor p(z).
-2*z**2*(z - 1)*(z + 1)/3
Suppose 5*q + 5*l = 30, -26*q + 16*l = -22*q + 56. Factor -450 - 30*g - 1/2*g**q.
-(g + 30)**2/2
Factor 514568*o**2 - 26*o - 514566*o**2 - 110*o.
2*o*(o - 68)
Let w(y) be the third derivative of y**7/70 - 67*y**6/40 - y**5/20 + 67*y**4/8 - y**2 - 127*y - 8. Factor w(r).
3*r*(r - 67)*(r - 1)*(r + 1)
Let o be 3/1 - (-1)/((-1)/33). Let l be (6 - o/(-6))/(3/2). Determine i, given that 0 - 4/3*i**3 - 2/3*i**2 + l*i**4 + 4/3*i = 0.
-1, 0, 1, 2
Suppose 0 = -0*x + 5*x - 10. Suppose -2*t + 8 + 12 = -4*y, -6*t = -5*y - 25. What is q in -4/5*q + 6/5*q**4 + t + 4/5*q**3 - 6/5*q**x = 0?
-1, -2/3, 0, 1
Let m(r) be the third derivative of 0 - 7*r + 1/12*r**5 - 3*r**2 + 15/2*r**3 + 5/4*r**4. Solve m(t) = 0 for t.
-3
Suppose -57*z + 27*z = -150. Let o(d) be the first derivative of -3/2*d**3 + 5 + 3/10*d**z + 3/8*d**4 + 3*d - 3/4*d**2. Factor o(g).
3*(g - 1)**2*(g + 1)*(g + 2)/2
Let u(v) be the second derivative of v**4/30 - 71*v**3/15 - 71*v. Factor u(m).
2*m*(m - 71)/5
Let w(g) = -1244*g**3 - g**2 + 1. Let q be w(-1). Factor -l**2 + 1244 - l**3 - q.
-l**2*(l + 1)
Let q = 20305 + -20300. Let x(a) be the third derivative of 0*a - 1/100*a**q + 1/2*a**3 - 5*a**2 + 0 + 1/10*a**4. Factor x(c).
-3*(c - 5)*(c + 1)/5
Let f(u) = 5*u**3 - 56*u**2 - 9*u + 48. Let x(n) = -60*n**3 + 675*n**2 + 110*n - 575. Let v(o) = -25*f(o) - 2*x(o). Factor v(r).
-5*(r - 10)*(r - 1)*(r + 1)
Let f(c) = c**2 + 739*c - 30340. Let w be f(39). Determine i so that 4/5*i**w - 2/5*i**3 + 0 - 2/5*i = 0.
0, 1
Let d = -2529/532 + 732/133. Let r(x) be the first derivative of 8 + 3/2*x - x**3 + 3/10*x**5 + 3/4*x**2 + 1/4*x**6 - d*x**4. Suppose r(j) = 0. What is j?
-1, 1
What is s in 60 + 4*s - 64*s**3 + 9*s**2 + 29*s**3 - 22*s**2 + 37*s**3 - 8*s**2 = 0?
-3/2, 2, 10
Suppose 8*u - 11 = -3*u. Factor 1 + 15773*s**2 - 15753*s**2 - 4*s**3 - 24*s - u.
-4*s*(s - 3)*(s - 2)
Find v such that 7*v**2 - 17*v**2 - 1061517 - 888*v + 9*v**2 - 247219 - 1400*v = 0.
-1144
Let q = 2000 - 27997/14. Let z(x) be the first derivative of 14 - 6/7*x - 3/14*x**6 + 15/14*x**4 + 12/7*x**3 + q*x**2 - 6/35*x**5. What is g in z(g) = 0?
-1, 1/3, 2
Let i(o) be the third derivative of o**6/540 + 11*o**5/90 - o**4/108 - 11*o**3/9 - 344*o**2. Find d, given that i(d) = 0.
-33, -1, 1
Let h(r) be the third derivative of r**7/1365 - 7*r**5/130 + 5*r**4/39 + 2293*r**2. Suppose h(n) = 0. Calculate n.
-5, 0, 1, 4
Factor -4/7*f**4 - 36864/7 + 3072/7*f - 32/7*f**3 + 704/7*f**2.
-4*(f - 8)**2*(f + 12)**2/7
Suppose 14 = -3*l - 4*m, 3*l - 3*m - 2*m - 31 = 0. Let p be 59/(-142 - 35)*((-1)/3)/1. What is q in 0*q - 1/9*q**5 + 0*q**l + 0 - p*q**3 - 2/9*q**4 = 0?
-1, 0
Let m(k) be the first derivative of 2*k**3 + 0*k - 21 - 25/2*k**2 - 1/5*k**5 + 4/3*k**4. Let n(f) be the second derivative of m(f). Factor n(d).
-4*(d - 3)*(3*d + 1)
Let n(t) be the second derivative of 3 + 1/180*t**6 - 4/9*t**3 + 1/10*t**5 + 0*t**2 + 1/18*t**4 + 8*t - 1/252*t**7. Determine l so that n(l) = 0.
-2, 0, 1, 4
Let v(s) be the third derivative of s**6/210 - 41*s**5/35 + 81*s**4/14 - 242*s**3/21 - 646*s**2. Determine t so that v(t) = 0.
1, 121
Suppose -95*f**5 + 170*f**5 - 54*f + 23*f**4 + 4*f**4 - 78*f**5 + 144*f**2 - 87*f**3 - 27*f**2 = 0. What is f?
0, 1, 2, 3
Let h(k) = -4*k**4 - k**3 - k**2 - k + 1. Let f(q) = 7*q**4 + 6*q**3 + 41*q**2 - 44*q - 82. Let a(o) = -5*f(o) - 10*h(o). Suppose a(i) = 0. What is i?
-5, -1, 2, 8
Factor -71/3*p - 1/3*p**2 + 146/3.
-(p - 2)*(p + 73)/3
Let q(a) = -a**3 - 19*a**2 + 1343*a + 1269. Let y be q(-47). Solve 3/2*d**3 + 0 + 3/2*d**2 - 3/2*d**4 - 3/2*d**5 + y*d = 0 for d.
-1, 0, 1
Suppose -305*h - 1174*h - 2676*h + 8310 = 0. Determine z so that 2/3*z**h + 52/3*z + 338/3 = 0.
-13
Let q(t) = -11*t**2 + 6004*t - 1630211. Let k(o) = -65*o**2 + 35975*o - 9781265. Let l(w) = -6*k(w) + 35*q(w). Let l(j) = 0. Calculate j.
571
Let f(g) be the third derivative of 127*g**2 + 0 + 0*g - 77/4*g**4 + 5929/2*g**3 + 1/20*g**5. Factor f(t).
3*(t - 77)**2
Suppose -2*v + 5*c + 260 = 0, v - 44 = -4*c + 73. Let p be 45/(((-42)/24 - -2)*6). Suppose 1/5*r**4 - 100*r - 4*r**3 + p*r**2 + v = 0. What is r?
5
Let p(z) = -2*z**3 - 2*z**2 + 2. Let d be -1 + 0*(-2)/(-10) - 0. Let u be p(d). Suppose -t**u + 2/3*t + 1/3*t**3 + 0 = 0. Calculate t.
0, 1, 2
Let s(h) = 3*h**3 + 726*h**2 + 2988*h + 3000. Let o(i) = i**3 + 727*i**2 + 2986*i + 3000. Let m(x) = 4*o(x) - 3*s(x). Let m(u) = 0. Calculate u.
-2, 150
Factor -58925 + 603*m + 13556 - 3*m**2 + 0*m**2 - 177*m + 2*m**2.
-(m - 213)**2
Suppose 1 = -5*m + 11. Suppose 2*x - 3 = m*u + 17, 5*x = u + 38. Factor -15*k**2 - 1 - 4*k**2 - 8*k - x*k**3 + 5.
-(k + 1)*(k + 2)*(7*k - 2)
Suppose 4*t = -5*q + 12, -265*t + 6 = -268*t. Let o(x) be the third derivative of -1/15*x**5 + 0*x**q - 5*x**2 + 2/3*x**3 + 0*x + 0. What is i in o(i) = 0?
-1, 1
Factor 0 - 36/7*c**2 + 2/7*c**4 + 0*c - 34/7*c**3.
2*c**2*(c - 18)*(c + 1)/7
Let z(w) be the first derivative of 3*w**5/5 - 431*w**4/4 - 193*w**3 - 145*w**2/2 + 1710. Suppose z(n) = 0. What is n?
-1, -1/3, 0, 145
Factor -5*p + 580 + 476 - 11*p - 7172*p**2 - 4*p**4 + 6380*p**2 + 276*p**3.
-4*(p - 66)*(p - 2)**2*(p + 1)
Let n(z) be the second derivative of -z**6/135 + 11*z**5/45 + 25*z**4/18 + 4*z**3/27 - 100*z**2/9 + 52*z + 6. What is h in n(h) = 0?
-2, 1, 25
Let c(x) be the third derivative of -4/3*x**3 + 0 - 1/90*x**5 + 0*x - 2/9*x**4 + 3*x**2. Find b such that c(b) = 0.
-6, -2
Let u = -2/227555 - -182046/227555. What is n in 2/5*n**5 - u*n + 0 - 2*n**2 - 6/5*n**3 + 2/5*n**4 = 0?
-1, 0, 2
Let t(w) be the first derivative of -167 - 1274/3*w**3 - 648*w - 792*w**2 - 169/2*w**4. What is r in t(r) = 0?
-18/13, -1
Let o(s) be the second derivative of 11/51*s**3 + 2 + 26/17*s**2 - 1/102*s**4 - 147*s. Factor o(a).
-2*(a - 13)*(a + 2)/17
Suppose -37/4*d**2 - 4 + 3*d**3 - 1/4*d**4 + 21/2*d = 0. What is d?
1, 2, 8
Suppose 16*g**2 - 4 - 23/3*g - 13/3*g**3 = 0. What is g?
-4/13, 1, 3
Let q(t) = 9*t**2 + 131*t + 11. Let z(l) = 2*l**2 + 26*l + 2. Let i be -1 - 2/(-5) - (-2320)/200. Let u(o) = i*z(o) - 2*q(o). Factor u(v).
4*v*(v + 6)
Let d(a) = -2*a - 16. Let p be d(-9). Let 1 - 30*y**2 - 19 - 20*y + 28*y**p = 0. Calculate y.
-9, -1
Let a be 144/(-108)*(-3)/(-4)*(-266)/252*76. Factor 8*p**2 + a - 152/3*p.
2*(6*p - 19)**2/9
Factor -131 - 9*u - 28*u - u**2 + 61*u + 108*u.
-(u - 131)*(u - 1)
Let d(w) be the first derivative of -6*w**5/5 + 3579*w**4 + 14320*w**3/3 + 21482*w**2/9 + 4774*w/9 - 2839. Factor d(s).
-2*(s - 2387)*(3*s + 1)**3/9
Suppose -18 = 230*v - 233*v, 26 = h + 4*v. Let 48/5*i**h + 45*i**3 - 204/5*i + 27/5*i**4 - 96/5 = 0. What is i?
-8, -2/3, 1
Let o(x) be the first derivative of -5*x**4 - 134*x**3 - 20*x**2 - 2226. Factor o(w).
-2*w*(w + 20)*(10*w + 1)
Let c(s) be the second derivative of -s**6/75 - 13*s**5/150 - 19*s**4/90 - 11*s**3/45 - 2*s**2/15 - 1711*s. Determine t, given that c(t) = 0.
-2, -1, -1/3
Let q be (-8973)/4 - (-15 - -14). Let y = 2261 + q. Factor -30*h**4 + 145/4*h**3 + 9*h**5 - y*h**2 - 1/4 + 15/4*h.
(h - 1)**3*(6*h - 1)**2/4
Let n(m) be the second derivative of m**7/126 + 13*m**6/90 - 53*m**5/60 - 77*m**4/36 + 26*m**3/9 + 32*m**2/3 + 8038*m. Let n(c) = 0. What is c?
-16, -1, 1, 4
Let u(x) = x**2 + 30*x + 289. Let q(t) = 8*t - 5. Let p(j) = 5*j - 3. Le