 derivative of m**5/10 - 7*m**3/6 - 3*m**2/2 - 104. Factor r(s).
s*(s - 3)*(s + 1)*(s + 2)/2
Let v(k) = -k**3 - 2*k**2 - k + 3. Let d be v(-2). Solve -d*l**4 - 26*l**3 + 22*l**3 - 10*l + 5 + 14*l**3 = 0 for l.
-1, 1
Let y(n) be the first derivative of -4*n**6/15 - 68*n**5/25 - 6*n**4/5 + 68*n**3/15 + 16*n**2/5 + 440. Find k, given that y(k) = 0.
-8, -1, -1/2, 0, 1
Find z such that -417*z**5 + 421*z**5 - 8*z**3 - 2*z**4 - 2*z**4 = 0.
-1, 0, 2
Let f be (-258)/(-18) + (-4)/(-6). Solve 11*h**2 + 39*h**3 - 22*h + f*h**4 + h**2 + 10*h = 0.
-2, -1, 0, 2/5
Let s be 33/9 + 1/3. Let d be 0 + -4 + 2 + s. Factor -a**2 + 5*a**d - 3*a**2 + 0*a**2.
a**2
Let n = 1 + 3. Suppose 3*p = 2*p + n. Suppose -3*c**4 + 0*c**p + 2*c**3 + 7*c**4 - 2*c**2 = 0. Calculate c.
-1, 0, 1/2
Find d such that 5*d - 5/4*d**3 - 40 + 10*d**2 = 0.
-2, 2, 8
Find o such that 3/7*o**2 + 36/7 - 3*o = 0.
3, 4
Let m(r) be the second derivative of 15*r - 13/2*r**3 - 5/4*r**4 + 9*r**2 + 0. Solve m(g) = 0 for g.
-3, 2/5
Factor -348 + 552 + 21*f**3 + 6*f**3 + 108 + 666*f**2 - 924*f.
3*(f + 26)*(3*f - 2)**2
Let f(m) be the third derivative of -m**5/270 + m**4/108 + 2*m**3/27 - 10*m**2 - 3*m. Factor f(v).
-2*(v - 2)*(v + 1)/9
Let a(c) be the third derivative of -c**5/80 + 9*c**4/16 - 4*c**3 - 6*c**2 - 31*c. Determine m so that a(m) = 0.
2, 16
Let s be (0 - ((-3)/(-10) - 1)) + 0. Let w = s + 19/30. Suppose 10/3*k**2 + 8/3*k**3 - w*k - 2 = 0. Calculate k.
-1, 3/4
Let k(q) be the third derivative of 7*q**6/300 + 64*q**5/75 + 201*q**4/20 + 54*q**3/5 - q**2 - 6. Find g, given that k(g) = 0.
-9, -2/7
Let t(i) = -3*i**2 + 73*i + 407. Suppose -12 = -5*u + 8. Let r(c) = 2*c**2 - 36*c - 204. Let q(o) = u*t(o) + 7*r(o). Find n, given that q(n) = 0.
-10
Let j = -150 + 1054/7. Factor -6/7*f**3 + 2/7*f**5 - 10/7*f**2 + 0 - j*f + 2/7*f**4.
2*f*(f - 2)*(f + 1)**3/7
Let x = 1/138 - -34/69. Let 1 - r**2 + x*r - 1/2*r**3 = 0. Calculate r.
-2, -1, 1
Let t(v) be the second derivative of -v**5/10 + v**4/2 + 16*v**3/3 + 12*v**2 - 2*v + 17. Factor t(g).
-2*(g - 6)*(g + 1)*(g + 2)
Let d(o) be the third derivative of o**7/42 + o**6/6 - 5*o**5/12 - 135*o**2. Factor d(a).
5*a**2*(a - 1)*(a + 5)
Determine h so that 3*h + h + 63 + 15*h**2 + h**5 - 39 - 3*h**4 - 5*h**3 - 36 = 0.
-2, -1, 1, 2, 3
Let n = -1685 - -3373/2. Find w such that 0*w + 0 - 3/2*w**3 - n*w**2 = 0.
-1, 0
Let q(i) = 5*i**2 - 131*i + 138. Let x(b) = -55*b**2 + 1440*b - 1515. Let t(p) = -65*q(p) - 6*x(p). Factor t(n).
5*(n - 24)*(n - 1)
Suppose 0 = -5*u + 3*j + 36, 0 = u + 2*j - 5 - 10. Let m be (-2)/8 - u/(1980/(-95)). Factor -4/11*k - m*k**3 + 6/11*k**2 + 0.
-2*k*(k - 2)*(k - 1)/11
Let j(q) be the first derivative of -q**4/10 + 6*q**3/5 + q**2/5 - 18*q/5 - 109. Find k, given that j(k) = 0.
-1, 1, 9
Suppose -4*j + 180*r = 177*r - 21, -5*j = r + 7. Factor j*q - 8/19*q**2 + 2/19*q**3 + 0.
2*q**2*(q - 4)/19
Let g(j) be the first derivative of -3*j**5/20 - 147*j**4/16 - 12*j**3 + 175. Factor g(h).
-3*h**2*(h + 1)*(h + 48)/4
Let n = -10/99 - 26/33. Let m = -7/18 - n. Suppose -3/2*p - 1/2 - 3/2*p**2 - m*p**3 = 0. What is p?
-1
Let z be 1702/1012 + 1/((-11)/2). Determine f so that -1/2*f**4 - 2*f + 2*f**3 + 2 - z*f**2 = 0.
-1, 1, 2
Let f(y) be the second derivative of -y + 1/54*y**4 - 1/135*y**6 + 0 + 2/27*y**3 + 1/189*y**7 + 0*y**2 - 1/30*y**5. Find i, given that f(i) = 0.
-1, 0, 1, 2
Let y(b) = 3*b**3 + 15*b**2 + 12*b. Let l(f) = 9*f**3 + 43*f**2 + 35*f + 1. Let h(o) = -3*l(o) + 8*y(o). Let h(m) = 0. Calculate m.
-1
Let p(b) be the first derivative of 4*b**3/3 + 16*b**2 + 64*b + 17. Factor p(k).
4*(k + 4)**2
Let v(p) = -3*p**3 - 4*p**2 - 9*p - 6. Let d be v(-1). Find o, given that 0*o - 3/5*o**4 + 0 - 3/5*o**d + 6/5*o**3 = 0.
0, 1
Factor -4/5*l**2 - 3*l + 18/5 + 1/5*l**3.
(l - 6)*(l - 1)*(l + 3)/5
Suppose 5*p + 2*d - 121 = 0, -4*p + 3*d + 32 + 74 = 0. Solve -18*t**3 + 10*t**2 - 10*t + p*t**5 - 29*t**2 - 16*t**2 + 35*t**4 + 3*t**3 = 0.
-1, -2/5, 0, 1
Factor 38*h**4 - 17*h**4 - 83*h**2 + 27*h**4 + 72*h**3 + 110*h**2.
3*h**2*(4*h + 3)**2
Let u(i) be the third derivative of 1/105*i**7 + 1/30*i**5 + 0*i**3 + 0*i + 4*i**2 + 1/30*i**6 + 0 + 0*i**4. Suppose u(d) = 0. What is d?
-1, 0
Let f be (3/16)/((-3)/2) + 52/416. Factor -1/4*y**3 + f - 1/4*y**2 + 1/2*y.
-y*(y - 1)*(y + 2)/4
Let z = -61 + 67. Let y(t) be the third derivative of -1/120*t**z - 4*t**2 - 1/60*t**5 + 0*t**4 + 0*t**3 + 0 + 0*t. Suppose y(w) = 0. What is w?
-1, 0
Let c = -5880 + 64682/11. Determine z, given that -4/11 + 4/11*z**2 + c*z - 2/11*z**3 = 0.
-1, 1, 2
Suppose -3/4*s**2 + 567/4*s - 141 = 0. Calculate s.
1, 188
Let l be -2 - ((-104)/8 - (1 + -4)). Suppose 21 + 11 = 4*z + 5*d, -2*d + l = 0. Factor -2/7*t**z + 0*t**2 + 6/7*t + 4/7.
-2*(t - 2)*(t + 1)**2/7
Let j(a) = a**4 - a**3 - a**2 - 1. Let d(y) = 7*y**4 - 11*y**3 - 6. Let h(f) = -5*d(f) + 30*j(f). Factor h(x).
-5*x**2*(x - 3)*(x - 2)
What is f in 80 - 12*f**2 + 3873*f - 1908*f - 1921*f = 0?
-4/3, 5
Suppose -5*f = 4*r - 20, 0 = -2*f + 15*r - 19*r + 20. Let n = -2/447 + 904/2235. Suppose -2/5*l**2 + 0 + f*l - n*l**3 = 0. What is l?
-1, 0
Let c = 76/143 + -1/13. Let x(g) be the first derivative of -c*g**2 - 14/33*g**3 - 5 + 4/11*g. Factor x(v).
-2*(v + 1)*(7*v - 2)/11
Suppose -t = -4*t. Suppose c - 6*c + 10 = t. Factor -15*z - 4*z**5 - 52*z**3 - 24*z**4 - z + 12*z**c - 60*z**2.
-4*z*(z + 1)**2*(z + 2)**2
Let s be (-10 - 1168/(-112)) + 34/35 + -1. What is h in 0 - s*h + 2/5*h**2 - 1/10*h**3 = 0?
0, 2
Suppose -2*a**3 - 798*a - 465 - 78*a**2 + 1347 - 4*a**2 = 0. What is a?
-21, 1
Let t(u) = 3*u - 12. Let w be t(5). Find v such that -v**2 + 9*v**w + 0*v + 2*v + 4*v - 14*v**2 = 0.
0, 2/3, 1
Suppose -24*b - 44 = -116. Let k(u) be the first derivative of 0*u**2 - 2 + 4/21*u**b - 1/14*u**4 + 0*u. Let k(s) = 0. What is s?
0, 2
Let m(z) be the first derivative of -14*z**6/3 - 64*z**5/5 + 3*z**4 + 64*z**3/3 + 8*z**2 - 76. Find i, given that m(i) = 0.
-2, -1, -2/7, 0, 1
Suppose 65*n - 14 = 58*n. Factor -16/3*k**n - 4*k + 0 - 4/3*k**3.
-4*k*(k + 1)*(k + 3)/3
Suppose 4*v - 5*k = v - 5, 0 = v + 5*k + 35. Let d be -15*(v/45 + 0). Find f, given that -10/3*f - 4*f**4 + 14/3*f**2 + d*f**3 - 2/3 = 0.
-1, -1/6, 1
Factor -14*u**3 - 9*u**2 + 36*u + 550*u**5 - 548*u**5 - 2 - 14 + 6*u**4 - 5*u**2.
2*(u - 1)**3*(u + 2)*(u + 4)
Suppose -2*j + 46 = 2*z - 5*z, 2*j = z + 42. Suppose -4*u + 3*k = 7*k - j, -4*k + 20 = 0. Factor u*q + 2/9*q**3 + 0 - 2/9*q**5 - 2/9*q**2 + 2/9*q**4.
-2*q**2*(q - 1)**2*(q + 1)/9
Let n(l) = -2*l**3 + 6*l + 1. Let u(d) = -5. Let f(m) = 2. Let q(z) = 8*f(z) + 3*u(z). Let o(a) = n(a) + 3*q(a). Let o(b) = 0. What is b?
-1, 2
Let j(h) be the second derivative of 1/120*h**6 + 3/20*h**5 + 9/8*h**4 - 2*h + 0 + 0*h**2 - 4/3*h**3. Let k(n) be the second derivative of j(n). Factor k(g).
3*(g + 3)**2
Let m = -13 - -13. Let t(i) be the second derivative of -1/70*i**5 - 7*i + m + 1/14*i**4 + 0*i**2 - 2/21*i**3. Determine u so that t(u) = 0.
0, 1, 2
Let a(v) = 39*v**3 + 345*v**2 - 336*v - 12. Let j(u) = 16*u**3 + 138*u**2 - 134*u - 5. Let b(q) = -5*a(q) + 12*j(q). Factor b(h).
-3*h*(h - 1)*(h + 24)
Let -424*b - 13*b + 34*b**3 - 867*b**2 - 257*b**3 - 477*b - 25*b**4 - 972 - b**5 - 598*b = 0. Calculate b.
-9, -3, -2
Let t(k) = k**3 + k**2 + k - 1. Let o(z) = z**4 - z**3 + 9*z**2 - z - 2. Let n(s) = o(s) - 3*t(s). Factor n(b).
(b - 1)**4
Let a = 180 + -100. Determine w so that -3*w**3 - 4*w**3 - 14*w**3 - 125*w**4 + a*w**2 - 20*w - 4*w**3 = 0.
-1, 0, 2/5
Let l(x) be the first derivative of -x**5/10 + x**4 + 2*x**3/3 - 8*x**2 - 214. Determine m, given that l(m) = 0.
-2, 0, 2, 8
Suppose -2 + 8 = 4*z - 3*n, -10 = -5*n. Suppose 6 = o - u, 4*o + u = -z*u. Suppose -c**2 + c**5 - c**o + 3*c**4 + 2*c**3 - 2*c**3 - 2*c**4 = 0. What is c?
-1, 0, 1
Let z be (3/21)/(3/14). Let r(m) be the first derivative of 3 + 1/2*m**2 - z*m - 1/9*m**3. Solve r(w) = 0.
1, 2
Let d = 535309/393960 - 3/6566. Let w = d - 1/40. Factor 1/3*y**4 - 4/3*y**3 + 1/3 + 2*y**2 - w*y.
(y - 1)**4/3
Let m = -150 + 153. Suppose -3*g = m*w + w + 15, -w + 5 = -g. Factor 1/2*h**2 + w + 0*h - 5/4*h**3.
-h**2*(5*h - 2)/4
Suppose -5 = -2*n + 1. Suppose -h + 3*d - n = 0, 2*h - 5*h - 3*d = -15. Let x**2 - h*x + x + 3*x = 0. What is x?
-1, 0
Let p(y) = 13*y**2 + 1308*y + 71300. Let i(d) = 9*d**2 + 872*d + 47534. Let a(