 given that 0 + 58/5*d**4 - 46/5*d**3 + 24/5*d - 8/5*d**5 - 88/5*d**2 = 0.
-1, 0, 1/4, 2, 6
Determine m, given that 39*m - 17 + 17 - 38*m - m**3 = 0.
-1, 0, 1
Find h such that 214*h + 12*h**3 + 109*h**5 - 111*h**5 + 2*h**4 - 214*h = 0.
-2, 0, 3
Suppose -t + 4 = t. Let q be (-575)/(-28) + 8/(-28). Find g, given that -3/4*g**3 + 27/4*g**t - q*g + 81/4 = 0.
3
Factor 0 - 332/3*f**2 + 0*f - 2/3*f**3.
-2*f**2*(f + 166)/3
Let i = 59 + -56. Let l(o) = 2*o**2 - 10*o + 2. Let x(r) = -15*r**2 + 80*r - 15. Let s(g) = i*x(g) + 25*l(g). Find n such that s(n) = 0.
1
Let z(m) be the third derivative of -7/480*m**5 + 0*m + 0 - 3/16*m**3 - 1/960*m**6 + 17/192*m**4 + 20*m**2. Determine b, given that z(b) = 0.
-9, 1
Suppose -5*z - 12 = 3*a - 4*a, -6 = -a + 2*z. Determine b so that -4*b - 15*b**a + 6*b**2 + 7*b**2 = 0.
-2, 0
Let 2/13*i**4 - 18/13*i - 36/13 + 18/13*i**3 + 34/13*i**2 = 0. Calculate i.
-6, -3, -1, 1
Let c(d) be the first derivative of d**5/5 - d**4/2 - d**3 + 4*d**2 - 4*d - 60. Suppose c(y) = 0. Calculate y.
-2, 1, 2
Let o(i) = 25*i - 22. Suppose 0 = -y - 3*m - 11, 3 = -5*y + 4*m + 24. Let f be o(y). Factor -1/2*b**4 - 3/2*b**f - 3/2*b**2 - 1/2*b + 0.
-b*(b + 1)**3/2
Let a(y) be the third derivative of -y**6/60 - y**5/5 + y**4/12 + 2*y**3 - 11*y**2 + 5. Determine x, given that a(x) = 0.
-6, -1, 1
Let w(s) be the third derivative of -1/360*s**6 + 0*s + 0 + 13*s**2 - 11/360*s**5 + 1/4*s**3 - 1/12*s**4. What is c in w(c) = 0?
-3, 1/2
Suppose -2*s**2 - 29672 - s**2 + 170*s + 413*s + 131*s - 12811 = 0. What is s?
119
Let i(d) = d + 4*d - 5*d + 3*d. Let p be i(1). Factor -3*a**3 + 2*a**2 - a**p + 6*a**2.
-4*a**2*(a - 2)
Let l(a) be the third derivative of -25/33*a**3 - 1/330*a**5 + 14*a**2 + 5/66*a**4 + 0 + 0*a. Factor l(c).
-2*(c - 5)**2/11
Suppose 33 = 9*t - 20*t. Let d be (-1)/2 + t/(-6). Factor 5/2*j**4 + j**3 + d*j**2 - 7/2*j**5 + 0*j + 0.
-j**3*(j - 1)*(7*j + 2)/2
Let d be 54/(-459) - 54/(-170). Let j(i) be the second derivative of 0*i**3 + 0 + i + 1/30*i**4 - d*i**2. Suppose j(h) = 0. What is h?
-1, 1
Let n = 78 - 73. Suppose -a - 2*a = n*g - 26, 4*g - 16 = 0. Factor 0 + 1/3*k - 1/3*k**a.
-k*(k - 1)/3
Let o(t) be the first derivative of 5*t**4 + 5*t**2 - 2*t - 10 - 2*t**5 - 20/3*t**3 + 1/3*t**6. Determine m, given that o(m) = 0.
1
Let o(l) be the first derivative of l**6/900 + l**5/150 - 4*l**3/45 + 13*l**2/2 + 17. Let i(x) be the second derivative of o(x). Let i(v) = 0. Calculate v.
-2, 1
Let x(k) be the second derivative of 5*k**7/21 - 5*k**6/6 + k**5/2 + 89*k. Find q, given that x(q) = 0.
0, 1/2, 2
Let q(n) = -n**2 + 2*n + 197. Let l be q(15). Factor 4/3*k - 1/3*k**4 - 1/3 - 2*k**l + 4/3*k**3.
-(k - 1)**4/3
Suppose -3*d + 36 = -3*k, -4*k - 36 = -3*d - 0*k. Determine i so that -4*i**5 - 19*i**3 + 7*i**3 - 17*i**2 + d*i**4 + 21*i**2 = 0.
0, 1
Find v, given that -64*v + 2/15*v**4 + 26/5*v**3 + 716/15*v**2 - 320/3 = 0.
-20, -1, 2
Let v(y) be the first derivative of -y**4/8 - 5*y**3/6 - y**2 - 12. Factor v(k).
-k*(k + 1)*(k + 4)/2
Let v = -1398 - -18176/13. Solve 0*d + 0 + 2/13*d**3 - 2/13*d**5 - v*d**2 + 2/13*d**4 = 0 for d.
-1, 0, 1
Let a(k) be the second derivative of -k**8/15120 + k**7/1890 - k**4/6 + 13*k. Let q(u) be the third derivative of a(u). Determine g so that q(g) = 0.
0, 3
Let c(x) = -4*x + 23. Let b be c(5). Let y(l) be the second derivative of -27*l**2 + 0 - 3/2*l**4 + 9*l**b + 1/10*l**5 - 3*l. Determine i, given that y(i) = 0.
3
Let b be 2/11 - 900/110. Let j be ((-5)/9 - -1)/(b/(-12)). Suppose -j*u - 2*u**2 + 0 - 2/3*u**4 - 2*u**3 = 0. Calculate u.
-1, 0
Suppose 58/7*m + 841/7 + 1/7*m**2 = 0. What is m?
-29
Factor 4*v**3 - 81*v - 20*v + 8*v - 72*v**2 - v**3 - 63*v.
3*v*(v - 26)*(v + 2)
Suppose z = -3 + 6. Suppose 5 + 1 = z*d. Let 3*y**d - 9*y**4 + 4 + 6*y**3 - 12*y + 12*y**3 + 2*y**2 - 6*y**3 = 0. What is y?
-1, 2/3, 1
Let t be (8/(-3) + 4)/(4/6). Factor 15*h - 5*h + 0*h - 5*h - 5*h**t.
-5*h*(h - 1)
Let l(j) be the first derivative of 0*j**3 - 1/45*j**6 + 0*j**5 + 0*j**4 + 7*j + 0*j**2 - 1/63*j**7 + 3. Let z(a) be the first derivative of l(a). Factor z(f).
-2*f**4*(f + 1)/3
Let f(b) = -18*b**3 - 29*b**2 - b + 20. Let m(x) = -x**3. Let v(o) = f(o) + m(o). Let s(w) = 4*w**3 + 6*w**2 - 4. Let q(r) = 11*s(r) + 2*v(r). Factor q(l).
2*(l + 1)**2*(3*l - 2)
Let p(z) be the third derivative of z**7/735 + z**6/70 - 4*z**5/35 + 13*z**4/42 - 3*z**3/7 + 2*z**2 + 67*z. Suppose p(s) = 0. What is s?
-9, 1
Let c(m) = -8*m**3 + 151*m**2 - 443*m + 426. Let x(l) = -12*l**3 + 228*l**2 - 664*l + 640. Let s(d) = 8*c(d) - 5*x(d). Factor s(z).
-4*(z - 13)*(z - 2)**2
Let v = -50 + 67. Find s, given that -29*s + 4*s**3 + 4*s**5 + 32*s**2 - 28*s**3 + v*s = 0.
-3, 0, 1
Let r be ((-9)/(-27))/(4/120). Let a be 15/r - (-232)/(-240). Factor -a*c + 0 + 2/5*c**3 + 8/15*c**2.
2*c*(c + 2)*(3*c - 2)/15
Let v(r) be the third derivative of -r**5/90 + r**4/3 - 4*r**3 - 2*r**2 + 7*r. Factor v(g).
-2*(g - 6)**2/3
Let o(k) = 2*k**3 - k**2 - 2*k - 2. Let a be o(2). Suppose 16*p - 38 = -a. Solve 4/11*i**3 - 2/11*i**p + 0 + 2/11*i**4 - 4/11*i = 0.
-2, -1, 0, 1
Factor -165/7 - 1/7*g**2 + 166/7*g.
-(g - 165)*(g - 1)/7
Suppose -6/7*t**5 + 2*t**3 + 0 - 22/7*t**2 - 8/7*t + 22/7*t**4 = 0. Calculate t.
-1, -1/3, 0, 1, 4
Let o = -168 - -170. Let s(g) be the second derivative of 7/9*g**3 + g**2 + 0 + o*g + 1/9*g**4. Factor s(q).
2*(q + 3)*(2*q + 1)/3
Let o be -9 + 6 + 0 + 5. Suppose 4*l + l - 18 = o*m, -4*m - 16 = 0. Factor l*q**3 + 2*q**3 + 2 - 5*q**3 - 2*q**2 + q.
-(q - 1)*(q + 1)*(q + 2)
Let g(y) be the first derivative of 5/14*y**2 - 31 + 4/35*y**5 - 4/7*y**3 + 1/28*y**4 + 2/7*y. Determine m so that g(m) = 0.
-2, -1/4, 1
Factor -4*y**2 + y**4 + 164*y**3 + 4*y**4 + 2*y - y**4 - 166*y**3.
2*y*(y - 1)*(y + 1)*(2*y - 1)
Let b(i) be the third derivative of i**7/1155 + i**6/132 + 7*i**5/330 + i**4/44 + 5*i**2 - 6. Find a such that b(a) = 0.
-3, -1, 0
Let m(v) = -v**2 + 21*v. Let a(k) = -2*k**2 + 18*k. Let y(t) = -3*a(t) + 2*m(t). Find q, given that y(q) = 0.
0, 3
Let m be (1 - -2) + 1 + -1 + -3. Let l be m*1/(2 - 4). Let l - 3/7*b**4 + 15/7*b**2 + 3/7*b**3 + 9/7*b = 0. Calculate b.
-1, 0, 3
Let l(p) be the third derivative of 0 + 0*p**3 + 7/6*p**4 - 3*p**2 + 1/10*p**6 + 0*p + 22/15*p**5. Factor l(z).
4*z*(z + 7)*(3*z + 1)
Suppose 7*o - 2015 + 55 = 0. Let n = o + -280. Solve n*i + 2/3*i**2 + 2/3*i**4 - 4/3*i**3 + 0 = 0.
0, 1
Let p(n) = -64*n - 256. Let s be p(-4). Suppose -2/9*q**2 + s*q + 4/9*q**3 + 0 = 0. What is q?
0, 1/2
Let d(m) be the first derivative of -16/5*m**3 - 10 + 36/5*m**2 - 27/5*m. Factor d(s).
-3*(4*s - 3)**2/5
Let 0*w - 4*w**3 + 0 + 0*w**2 - 4/3*w**4 = 0. What is w?
-3, 0
Let z(o) be the third derivative of o**6/420 - 2*o**5/105 + o**4/21 - o**2 + 5*o. Let z(h) = 0. What is h?
0, 2
Let b be (192/9)/((-60)/(-18)). Let o(q) be the first derivative of 7 + 8/5*q**2 + b*q + 2/15*q**3. Suppose o(g) = 0. Calculate g.
-4
Let w = -710 + 713. Factor -5/6*k**2 - 4/3*k - 2/3 - 1/6*k**w.
-(k + 1)*(k + 2)**2/6
Let o(l) be the third derivative of -1/10*l**5 - 11/180*l**6 + 1/9*l**3 + 0 + 0*l - 1/36*l**4 - 2*l**2 - 4/315*l**7. Find i, given that o(i) = 0.
-1, 1/4
Let p = 507 + -236. Let c = -2967/11 + p. Factor 12/11*f - c*f**2 + 2/11.
-2*(f - 1)*(7*f + 1)/11
Let w(m) be the third derivative of -15*m**2 + 0*m + 0*m**3 + 0 + 0*m**5 - 1/192*m**4 + 1/960*m**6. Solve w(b) = 0.
-1, 0, 1
Let c = 25591/4 + -6397. Suppose 3/8*i**2 - c + 3/8*i = 0. What is i?
-2, 1
Let i(t) = -11*t**2 + 63*t + 12. Let g(l) = -89*l**2 + 505*l + 95. Let k(c) = 6*g(c) - 51*i(c). Find r such that k(r) = 0.
-2/9, 7
Suppose -6*q + q = -5*c - 390, 3*c + 159 = 2*q. Suppose 78*u = q*u. Factor u*b - 2/7*b**5 + 2/7*b**3 + 0 - 2/7*b**2 + 2/7*b**4.
-2*b**2*(b - 1)**2*(b + 1)/7
Suppose 10 + 18 = 2*p. Factor -13*m**3 - m**2 + 6*m - 15*m**5 - p*m**3 + 5*m**2 - 39*m**4 - m**2.
-3*m*(m + 1)**3*(5*m - 2)
Let u = 1068 + -1068. Let d(z) be the third derivative of 1/170*z**5 + u*z - 1/102*z**4 - 7*z**2 - 1/51*z**3 + 0. Factor d(q).
2*(q - 1)*(3*q + 1)/17
Suppose -4*x - 10 = -x - 4*t, -5*x - 3*t + 22 = 0. Let 2/5*w**3 - 2*w**x + 16/5*w - 8/5 = 0. Calculate w.
1, 2
Suppose -y + c = -6, 4*y - 33*c = -32*c + 18. Let -13/9*n - 7/9*n**3 + 5/3*n**2 + 1/9*n**y + 4/9 = 0. Calculate n.
1, 4
Let h(t) be the third derivative of 0*t + 1/4*t**3 