23*t**5 + 5*t**2.
-5*t**2*(t - 1)*(t + 1)**2
Let g(h) be the third derivative of -6561*h**6/160 + 6399*h**5/80 + 161*h**4/32 + h**3/8 - 2111*h**2. Determine y so that g(y) = 0.
-1/81, 1
Let q = 42524 + -42522. Factor -1/2*x**2 - q - 2*x.
-(x + 2)**2/2
Let l = 807388352/1490016367 - -5430/174047. Let v = l + -2/1223. Factor 2/7*f - v*f**2 - 2/7*f**3 + 4/7.
-2*(f - 1)*(f + 1)*(f + 2)/7
Let w(m) be the third derivative of -m**6/24 - 83*m**5/2 - 34445*m**4/2 - 11435740*m**3/3 - 1255*m**2. Factor w(z).
-5*(z + 166)**3
Factor 820/3 - 4/3*v**2 - 48*v.
-4*(v - 5)*(v + 41)/3
Suppose -20*z**4 - 258*z**2 + 4*z**4 + 8*z**4 + 10*z**4 - 122*z**3 + 295*z + 83*z = 0. What is z?
-3, 0, 1, 63
Suppose 0 = 3*p - 125 - 22. Let 2*v + 4 - 4*v - p*v**2 + 47*v**2 = 0. What is v?
-2, 1
Let t(p) = -8*p**2 + 27*p - 5. Let n(z) = 4 + 41*z + 22 - 12*z**2 - 33. Let s(f) = -5*n(f) + 7*t(f). Let s(k) = 0. What is k?
0, 4
Let u(h) be the second derivative of -h**7/21 + 9*h**6/5 - 10*h**5 - 192*h**4 - 1024*h**3/3 - 1075*h. Determine z, given that u(z) = 0.
-4, -1, 0, 16
Let x(a) be the second derivative of -95*a**3/6 - 285*a**2/2 + 405*a. Let d be x(-3). Suppose -1/6*g**4 + d + 2/3*g**3 + 0*g - 2/3*g**2 = 0. Calculate g.
0, 2
Let -29*i**4 + 15*i**3 - 2*i**3 + 71*i**2 - 144 + 121*i**2 + 50*i**3 + 25*i**4 - 532*i = 0. Calculate i.
-4, -1/4, 2, 18
Let c be 265/(-13) - (-66 - -45). Factor -6/13 - c*r - 2/13*r**2.
-2*(r + 1)*(r + 3)/13
Let h(a) = -a**2 - 2*a + 12. Let x be h(10). Let o be (-18)/x*(-27)/(-6). Solve 15/4 - 3*j - o*j**2 = 0 for j.
-5, 1
Let i(k) be the third derivative of -33*k**2 + 0*k + 13/120*k**4 - 2 + 1/300*k**5 + 11/15*k**3. What is u in i(u) = 0?
-11, -2
Let l(c) = c**2 + 16*c + 27. Let i(z) = 15*z + 27. Let a be 0*(-4 + (-65)/(-15)). Let k be -4 + 7 - a/2. Let n(b) = k*l(b) - 2*i(b). Let n(p) = 0. Calculate p.
-3
Let z(o) be the second derivative of -o**5/20 + 5*o**4/2 - 76*o**3/3 + 96*o**2 - 2384*o - 2. Let z(w) = 0. Calculate w.
2, 4, 24
Factor -146*b**3 + 3*b**4 + 1252*b + 170*b**3 + 33*b**2 - 1312*b.
3*b*(b - 1)*(b + 4)*(b + 5)
Suppose 56 = 4*f + 4*d, -22 = 60*d - 62*d. What is z in -2*z**5 - 20/3*z**4 + 40/3*z**2 + 0 + 10/3*z**f - 8*z = 0?
-3, -2, 0, 2/3, 1
Let c be ((-85)/51)/(((-25)/6)/5). Solve 56*l**4 + 4*l + 8 - 4*l**5 - 8 - 64*l**4 + 8*l**c = 0.
-1, 0, 1
Let g be 0*(-12 + (-296)/(-24)). Let n(p) be the first derivative of 1/18*p**4 + 2/27*p**3 + g*p + 6 - 2/9*p**2. Find f such that n(f) = 0.
-2, 0, 1
Suppose 5*h = 8*h - u + 95, 98 = -3*h - 2*u. Let r be 10 + h/9 - 6. Determine a, given that 2/3*a**3 + 1/9*a**5 - r*a**2 + 0 + 1/9*a - 4/9*a**4 = 0.
0, 1
Let q(p) = p**3 + 10*p**2 - 9*p + 22. Let i be q(-10). Let j(l) = 2*l**2 - 2*l. Let z be j(-5). What is r in -z*r**3 + 15*r - 55*r + 5 - 17*r**2 + i*r**2 = 0?
1/4, 1/3, 1
Let z(y) be the third derivative of -y**5/420 + 43*y**4/84 - 85*y**3/42 - 16*y**2 + 14*y. Factor z(f).
-(f - 85)*(f - 1)/7
Solve -640/3 + 368/3*w - 2/3*w**3 - 20/3*w**2 = 0 for w.
-20, 2, 8
Suppose -2*k - 3*b + 4586 - 4600 = 0, 4*b + 20 = -2*k. Suppose 96/7 + 20/7*p - 4/7*p**k = 0. What is p?
-3, 8
Let p(n) be the first derivative of -n**4/4 - 13*n**3/9 + 227*n**2/6 + 77*n/3 - 394. Let p(m) = 0. What is m?
-11, -1/3, 7
Let i(p) = -p**2 + p - 5. Let t(o) = 45 - 140 + 42 - 3*o**2 + 3*o + 35. Suppose 0 = -n - 5. Let k(d) = n*t(d) + 18*i(d). Factor k(v).
-3*v*(v - 1)
Let h(y) = -23*y**2 - 17*y + 110. Let p be h(5). Let g be (60/(-325))/(44/p). Factor -34/13*k**2 + 0 - 6/13*k**4 - 2/13*k**5 + g*k**3 + 12/13*k.
-2*k*(k - 1)**3*(k + 6)/13
Let t = 84/13 - 8361/1300. Let a(m) be the second derivative of -3/40*m**4 - 16*m + 0 - t*m**5 + 0*m**3 - 1/300*m**6 + 0*m**2. Solve a(n) = 0.
-3, 0
Suppose -2*a = 3*a - 5*r, 6 = 3*r. Suppose -l + a = -13. Let p(u) = -12*u**2 + 21*u - 24. Let c(g) = -3*g**2 + 5*g - 6. Let f(s) = l*c(s) - 4*p(s). Factor f(w).
3*(w - 2)*(w - 1)
Let y be (1 - (-52)/(-56))*96. Let q(k) = -k**3 + 35*k**2 - 620*k + 12938. Let m be q(29). Factor 12/7 + 75/7*n**2 - 3/7*n**5 - 57/7*n**3 + 3*n**m - y*n.
-3*(n - 2)**2*(n - 1)**3/7
Let v(x) = -x + 12. Let l be v(-2). Suppose 3*d = 0, 5*s - 3*d - 24 = -l. Suppose -4/11*m - 2/11*m**s - 2/11 = 0. What is m?
-1
Factor 3*b**3 - 545849 + 545849 + 93*b**2 + 174*b.
3*b*(b + 2)*(b + 29)
Let z = 835 + -52603/63. Let q(x) be the second derivative of 0 - 1/21*x**2 - 2*x - z*x**3 - 1/126*x**4. Solve q(c) = 0.
-1
Let g(i) be the third derivative of -i**5/4 - 305*i**4/24 - 490*i**3/3 + 3077*i**2. Find u, given that g(u) = 0.
-49/3, -4
Let w be 10*3/3*(-32)/(-20). Suppose 149*s = 153*s - w. What is c in -4/7*c**s + 6/7*c**3 + 0 - 4/7*c**2 + 1/7*c**5 + 1/7*c = 0?
0, 1
Let d(c) be the second derivative of 1/6*c**4 + 10*c + 0 + 0*c**3 + 17/2*c**2 + 1/45*c**5. Let v(f) be the first derivative of d(f). Factor v(p).
4*p*(p + 3)/3
Suppose -2*b + 3*g + 434 = 0, -52*b - 4*g - 1078 = -57*b. Suppose 197*l = b*l. Factor l + 4/3*a + 2*a**2.
2*a*(3*a + 2)/3
Suppose -78*b + 3*b = -121 - 104. Let g(v) be the second derivative of -8/3*v**b + 1/3*v**4 + 0 - 20*v + 0*v**2. Factor g(c).
4*c*(c - 4)
What is k in 324/7*k**3 + 480/7*k + 0 + 15/7*k**5 - 204*k**2 + 87*k**4 = 0?
-40, -2, 0, 2/5, 1
Suppose 4310*r**3 - 4544*r + 8*r**4 - 13*r**4 + 8844*r - 8605*r**2 + 0*r**4 = 0. Calculate r.
0, 1, 860
Solve -25 - 4 + 116*v - v**2 - 1 - 99*v = 0.
2, 15
Suppose 0 = 7*h + 1415 - 5825. Factor 4*n**2 + 630 - 218*n - h + 54*n.
4*n*(n - 41)
Determine h so that -1014/7 - 13/7*h - 27/7*h**3 + 1/7*h**4 + 27*h**2 = 0.
-2, 3, 13
Let c = -258 + 260. Find g such that -c*g**2 - 32*g + 20764 - 20764 = 0.
-16, 0
Let l be (1294/12 - 7)*2/(140/21) - 1. Suppose 57/4 + l*b + 63/4*b**2 + 3/4*b**3 = 0. Calculate b.
-19, -1
Let z(n) be the third derivative of n**7/1960 - 17*n**6/840 - 119*n**3/6 - 40*n**2. Let h(d) be the first derivative of z(d). Find o such that h(o) = 0.
0, 17
Let v(o) = 11*o**2 - o - 38. Let q be v(-4). Suppose 5*y - q*f - 19 = -143*f, y + 4*f = 0. Factor -y*r - 1/2*r**2 + 6 + 1/2*r**3.
(r - 2)**2*(r + 3)/2
Let f = 12/5005 + 95047/20020. Find u such that u**3 + 3/2*u - 45/4 + f*u**2 = 0.
-3, 5/4
Find j, given that -12*j**3 + 0 - 132/5*j**2 + 0*j + 3/5*j**4 = 0.
-2, 0, 22
Let q = -24914/15 - -1661. Let g(h) be the first derivative of -1/30*h**4 + 4 - 4/45*h**3 - q*h**2 + 0*h. Let g(s) = 0. What is s?
-1, 0
Let y(z) be the second derivative of -z**6/6 - 63*z**5/40 - 97*z**4/24 - 3*z**3/2 + 2*z**2 - 602*z. What is h in y(h) = 0?
-4, -2, -1/2, 1/5
Let g(c) = 2*c**3 + 31*c**2 + 14*c - 15. Let t = 1358 - 1373. Let o be g(t). Factor -2/19*y**3 + 2/19*y**4 + 2/19*y**5 - 2/19*y**2 + 0*y + o.
2*y**2*(y - 1)*(y + 1)**2/19
Let a = -17709 + 70837/4. What is f in a*f**2 - 13/4*f + 3 = 0?
1, 12
Suppose -t + 10 = 2*p, -3*p - 2*p + 28 = 4*t. Let i = -612 + 614. Let 13*u**i + 7*u**t - 15*u**2 - 10*u = 0. What is u?
0, 2
Let j(a) = 26*a**2 + 3663*a + 10951. Let i(n) = 8*n**2 + 1222*n + 3650. Let u(o) = -7*i(o) + 2*j(o). Determine r, given that u(r) = 0.
-304, -3
Suppose -26*b + 217 = 113. Let y(w) be the first derivative of -16*w**2 + 17*w**b + 2*w**6 - 19 + 52/5*w**5 + 4*w**3 - 16*w. Solve y(m) = 0 for m.
-2, -1, 2/3
Let a(d) be the first derivative of d**5/25 - 3*d**4/20 + d**3/15 + 3*d**2/10 - 2*d/5 + 498. Determine j so that a(j) = 0.
-1, 1, 2
Determine j so that 26/3*j**3 + 0 - 140/3*j**2 + 35/3*j**4 - 3/2*j**5 - 32/3*j = 0.
-2, -2/9, 0, 2, 8
Let g = -138624 - -138628. Suppose -16/3*x - 2/3*x**g + 8/3 + 4/3*x**3 + 2*x**2 = 0. What is x?
-2, 1, 2
Let v(g) be the third derivative of -g**7/175 - 39*g**6/10 - 38413*g**5/50 - 3783*g**4 - 37636*g**3/5 - 72*g**2. Factor v(c).
-6*(c + 1)**2*(c + 194)**2/5
Let n(y) be the first derivative of 2*y**5/15 - 5*y**4/6 - 140*y**3/9 - 160*y**2/3 - 64*y - 3028. What is c in n(c) = 0?
-4, -2, -1, 12
Solve -74*n - 779 - 90*n - 4*n**2 - 496 + 323 = 0.
-34, -7
Let k = 8804/391 - 13/782. Let -135/4 - 5/4*a**5 + k*a**2 - 35/4*a**4 - 25/2*a**3 + 135/4*a = 0. Calculate a.
-3, 1
Let o be (20 + -9)*776/2134. Determine u, given that 0 + 0*u + 308/9*u**3 - 68/9*u**2 - 247/9*u**o + 7/9*u**5 = 0.
0, 2/7, 1, 34
Let s(m) be the second derivative of 0*m**2 + 54*m + 1/66*m**4 + 9/110*m**5 - 1/165*m**6 - 3/11*m**3 + 1. Determine g so that s(g) = 0.
-1, 0, 1, 9
Let x be (-176)/132*109/4. Let g = x - -37. Factor j + 0 - g*j**2 - 