o**3 + 16*o + 0*o**2. Determine n so that i(n) = 0.
0
Let h(l) = 2*l**2 - 32*l + 125. Let m(o) = -124 + 26*o - 16*o - 2*o**2 + 25*o - 3*o. Suppose 0 = -7*u + 3*u - 16. Let n(w) = u*h(w) - 3*m(w). Factor n(b).
-2*(b - 8)**2
Factor -99/2*l + 0 - 1/2*l**2.
-l*(l + 99)/2
Let t(v) = -9 + 25*v**3 - 5*v**2 - v + 4*v - 26*v**3. Let c be t(-6). Suppose -8 - 3*q**2 + q**2 + q + c*q + 0*q**2 = 0. Calculate q.
1, 4
Factor -z**2 + 27*z - 9*z + 21 + 2*z.
-(z - 21)*(z + 1)
Let o(u) be the first derivative of u**4/54 - 2*u**3/9 - 42*u - 23. Let v(s) be the first derivative of o(s). Factor v(f).
2*f*(f - 6)/9
Let m(v) be the third derivative of v**8/224 + v**7/140 - v**6/20 - v**5/10 - 964*v**2 - 2*v - 3. Suppose m(w) = 0. Calculate w.
-2, -1, 0, 2
Let y(o) be the first derivative of o**3/7 - 36*o**2/7 + 511. Let y(g) = 0. Calculate g.
0, 24
Let k(b) be the second derivative of 5*b**7/42 - 29*b**6/6 + 77*b**5/2 + 1190*b**4/3 - 3200*b**3/3 - 5120*b**2 + 31*b + 18. Suppose k(a) = 0. What is a?
-4, -1, 2, 16
What is a in -2110/3*a**3 + 1/3*a**4 + 0 + 0*a + 1113025/3*a**2 = 0?
0, 1055
Let m(q) be the first derivative of -16/7*q + 36/7*q**2 + 10/7*q**5 - 52/21*q**3 - 123 - 45/14*q**4. Solve m(r) = 0.
-1, 2/5, 2
Let z be (-8)/16*(0 - 30/3). Suppose z*i - 11 = 2*j, -3 = -2*j + 1. Factor 1944/13*w**4 - 270/13*w**i - 556/13*w**2 + 184/13*w + 1458/13*w**5 - 16/13.
2*(w + 1)**2*(9*w - 2)**3/13
Suppose 44*s = -3*y + 449, 183*s = y + 187*s - 43. What is k in 1/2*k - 1/4*k**y + 0 - 1/4*k**5 - 3/4*k**4 + 3/4*k**2 = 0?
-2, -1, 0, 1
Suppose -28*p - 4 = -30*p. Suppose 8 = -4*a, -p*a - 11 + 7 = 3*q. Suppose q + 2/7*v - 2/7*v**3 + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let z(h) = -590*h**2 - 2922*h + 142. Let l be z(-5). Factor l*p**2 + 8/5*p + 0 + 2/5*p**3.
2*p*(p + 1)*(p + 4)/5
Let n(a) be the third derivative of a**7/42 + 11*a**6/24 + 13*a**5/12 - 85*a**4/8 - 45*a**3 + 421*a**2. Suppose n(d) = 0. Calculate d.
-9, -3, -1, 2
Let c(v) be the first derivative of 2*v**6/3 - 16*v**5 + 36*v**4 + 8*v**3/3 - 74*v**2 + 72*v - 275. Factor c(r).
4*(r - 18)*(r - 1)**3*(r + 1)
What is x in -40 - 265 + 816*x + 3*x**3 - 128 - 27189*x**2 - 251 + 27054*x**2 = 0?
1, 6, 38
Determine h so that 150/7 - 303/7*h + 300/7*h**3 - 156/7*h**4 + 3/7*h**5 + 6/7*h**2 = 0.
-1, 1, 50
Let p(t) be the first derivative of t**8/112 - t**7/105 - t**6/120 + 45*t**2/2 + 2*t - 57. Let u(i) be the second derivative of p(i). Solve u(g) = 0 for g.
-1/3, 0, 1
Let m be ((-4)/(-11))/2*(-147 + (-86256)/(-576)). Let 0 - 27/2*q + m*q**2 = 0. Calculate q.
0, 27
Let o = 103/1068 - 7/534. Let d(h) be the first derivative of -1/18*h**3 + 12 - o*h**4 + 5/12*h**2 - 1/3*h. Determine m so that d(m) = 0.
-2, 1/2, 1
Let d be (16/(-34))/((-472)/1416). Let -2/17*h**2 - d - 14/17*h = 0. What is h?
-4, -3
Solve 308*r - 2/7*r**2 - 2154/7 = 0 for r.
1, 1077
Let a = -139 - -143. Let l = -415 + 419. Factor -l*f - 4/3*f**3 + 0 + 4/3*f**a - 20/3*f**2.
4*f*(f - 3)*(f + 1)**2/3
Let r = 275/9 + -523/18. Let w(x) be the second derivative of 19*x + 9/20*x**5 + 1/5*x**6 + 0*x**2 + 0 + r*x**3 - 2*x**4. Let w(a) = 0. Calculate a.
-3, 0, 1/2, 1
Suppose 24/5*f**4 - 2/5 + f**5 + 8*f**3 + 3/5*f + 26/5*f**2 = 0. What is f?
-2, -1, 1/5
Let c = 2424 - 2419. Suppose 1131 = c*v + 1116. Factor 0*b**2 - 1/2 + 1/4*b**v - 3/4*b.
(b - 2)*(b + 1)**2/4
Let a(s) be the first derivative of s**7/210 - 14*s**6/45 + 9*s**5/10 + s**3/3 + 73*s - 20. Let z(t) be the third derivative of a(t). Factor z(m).
4*m*(m - 27)*(m - 1)
Let b = 220276/9 + -24444. Suppose 8 - 14/9*t**2 + 14/3*t**4 + 380/9*t**3 - b*t = 0. Calculate t.
-9, -1, 2/7, 2/3
Let c(f) be the third derivative of -5*f**8/168 + 55*f**7/42 - 77*f**6/24 - 29*f**5/12 + 395*f**4/24 - 65*f**3/3 - 5*f**2 - 14*f. Determine u so that c(u) = 0.
-1, 1/2, 1, 26
Find c, given that -35186/7*c - 116162/21 - 242/21*c**3 + 3454/7*c**2 = 0.
-1, 241/11
Let j(p) be the first derivative of p**6/2 - 24*p**5/5 - 15*p**4 - 2*p**3 + 57*p**2/2 + 30*p + 5933. Let j(w) = 0. Calculate w.
-1, 1, 10
Let g = -170888/11 - -15536. Factor 0 + 0*w**3 - 2/11*w**4 + 0*w + g*w**2.
-2*w**2*(w - 2)*(w + 2)/11
Let f = -286405 - -286408. Let z = -2/567 + 164/567. Factor -2/7*o + z + 2/7*o**f - 2/7*o**2.
2*(o - 1)**2*(o + 1)/7
Let w(u) = 5*u**2 - 887*u - 880. Let p(s) = 12*s**2 - 1775*s - 1759. Let y(j) = -6*p(j) + 14*w(j). Factor y(n).
-2*(n + 1)*(n + 883)
Let t be (-33)/(-8) - (-5 - 41/(-8)). Let u(m) = 6*m + 2*m**2 - 3*m**2 + 0*m**2 + m. Let o(z) = -2*z**2 + 8*z. Let y(v) = t*u(v) - 3*o(v). Factor y(i).
2*i*(i + 2)
Let c = 43675/174716 - -1/43679. What is l in -c*l**3 - 3/2*l**2 - 1 - 9/4*l = 0?
-4, -1
Let h(y) be the second derivative of 1/135*y**6 + 2/45*y**5 + 1/27*y**4 - 2 - 4/27*y**3 - 1/3*y**2 + 17*y. Factor h(n).
2*(n - 1)*(n + 1)**2*(n + 3)/9
Let c = 39/49 + -18/49. Let b(g) be the first derivative of -2/35*g**5 + 4/7*g**2 - 13 + 0*g - 6/7*g**3 + c*g**4. Factor b(s).
-2*s*(s - 4)*(s - 1)**2/7
Factor -1/2*u**2 - 77/2*u + 294.
-(u - 7)*(u + 84)/2
Suppose 5*q + 24 = 2*d + 23, 0 = 27*q - 5*d - 41. Let c(v) be the second derivative of 0*v**2 + 0 + 35*v + 0*v**4 + 1/5*v**5 - 2/3*v**q. Factor c(b).
4*b*(b - 1)*(b + 1)
Let b(z) = 5*z**3 + 59*z**2 - 68*z + 132. Let c be b(-13). Factor 38/7*v + 2/7*v**c + 36/7.
2*(v + 1)*(v + 18)/7
Let m(i) be the first derivative of -1/3*i**4 - 17*i + 1/15*i**5 + 2*i**2 - 10 - 2/9*i**3. Let z(g) be the first derivative of m(g). Let z(b) = 0. Calculate b.
-1, 1, 3
Factor 3*a**2 + 9811075*a**4 + 93*a**2 - 9811077*a**4 + 4*a**3.
-2*a**2*(a - 8)*(a + 6)
Let q(n) be the first derivative of -n**7/210 - n**6/45 + 13*n**3 + n**2/2 + 30. Let z(h) be the third derivative of q(h). Determine k, given that z(k) = 0.
-2, 0
Let u(g) be the third derivative of -121*g**6/420 - 649*g**5/210 - 8*g**4/3 - 20*g**3/21 + 29*g**2 - 6*g. Factor u(v).
-2*(v + 5)*(11*v + 2)**2/7
Let k be 2125/(-250)*(-40)/85. Factor -21/2*b + 0 + 23/4*b**2 - 1/4*b**k + 5*b**3.
-b*(b - 21)*(b - 1)*(b + 2)/4
Let z(v) be the third derivative of -3*v**5/20 - 307*v**4/4 - 204*v**3 + 957*v**2 + 2*v. Determine h so that z(h) = 0.
-204, -2/3
Let k = -11062 + 55334/5. Find y, given that -16/5*y**3 - 46/5*y**2 - 2/5*y**4 - k - 56/5*y = 0.
-3, -2, -1
Let c = -2941 - -2954. Let t(d) be the first derivative of -1/4*d**2 + c - 1/18*d**3 - 1/3*d. Determine g so that t(g) = 0.
-2, -1
Let o(q) be the second derivative of 3*q**4/2 - 121*q**3/3 + 52*q**2 + 3*q + 937. Determine j so that o(j) = 0.
4/9, 13
Let f(k) be the third derivative of k**5/690 - 4*k**4/69 + 28*k**3/69 - 1041*k**2. Factor f(t).
2*(t - 14)*(t - 2)/23
Let b(c) be the third derivative of 2*c + 9344/105*c**7 + 3657/5*c**5 - 612*c**4 + 288*c**3 - 62*c**2 - 6508/15*c**6 + 0 - 128/21*c**8. Factor b(f).
-4*(f - 4)**2*(8*f - 3)**3
Let z(h) be the second derivative of 0*h**5 + 1/15*h**6 - 80*h + 0 - 1/3*h**4 + 0*h**3 + h**2. Factor z(x).
2*(x - 1)**2*(x + 1)**2
Let w(g) be the third derivative of g**5/210 - 45*g**4/28 - 136*g**3/21 + 1185*g**2. Determine x, given that w(x) = 0.
-1, 136
Factor 30 - 44/3*u**2 - 1/3*u**3 + 47/3*u.
-(u - 2)*(u + 1)*(u + 45)/3
Let s(h) = -11*h**2 - 24*h**2 - 2*h**2 - 4 - 6*h + h**2. Let w(r) = 145*r**2 + 25*r + 18. Let y(a) = 9*s(a) + 2*w(a). Determine x so that y(x) = 0.
-2/17, 0
Let w = 56 - 20. Let b = 36 - w. Let -3 + 3 + h**2 - 1 + b = 0. What is h?
-1, 1
Factor -52*k**3 - 111*k + 32*k**2 + 62*k**2 + 63*k - 4*k**3 + 10*k**4.
2*k*(k - 3)*(k - 1)*(5*k - 8)
Let i(a) be the first derivative of -155 + 0*a**5 + a**2 - 4/3*a + 4/9*a**3 - 2/3*a**4 + 1/9*a**6. Find m such that i(m) = 0.
-2, -1, 1
Suppose -16*q - 44 = -76. Solve -j**4 - 34 + 19 + 15 - 7*j**3 - 8*j - 14*j**q = 0 for j.
-4, -2, -1, 0
Let t(v) be the third derivative of -1/17*v**3 + 1/1020*v**6 + 0 - 1/102*v**5 + 7/204*v**4 + 2*v**2 - 5*v. Factor t(b).
2*(b - 3)*(b - 1)**2/17
Let w(b) be the third derivative of b**8/84 + 16*b**7/105 + 11*b**6/30 - 4*b**5/3 + 114*b**2 + 11. Find q such that w(q) = 0.
-5, -4, 0, 1
Let d(y) be the first derivative of y**4/7 - 236*y**3/21 + 830*y**2/7 - 204*y + 13. What is q in d(q) = 0?
1, 7, 51
Let r(u) be the second derivative of -21/40*u**5 + 0*u**2 - 1/28*u**7 + 0*u**3 - 3/8*u**4 - 303*u - 1/4*u**6 + 0. Suppose r(x) = 0. What is x?
-3, -1, 0
Let l be ((-23 + 2)/(-168))/(2/48). Factor 0*n**2 + 0*n**l + 0 -