m + 2)*(m + 3)**2
Let g(h) = -9*h**2 - h. Let u be g(-1). Let z be 1/((-2)/u) + -2. What is v in 9*v**3 + 108*v**z + 37*v**3 + 69*v + 16 - 24*v**4 - 18*v**5 + 3*v = 0?
-1, -2/3, 2
Let s(g) be the first derivative of 3*g**5/5 + 5*g**4/8 + 55. Determine c, given that s(c) = 0.
-5/6, 0
Suppose 2*a + 4 = 0, 476*p - 480*p + 22 = -5*a. Let 8/21*s - 10/21*s**4 + 4/7*s**2 - 8/21*s**p - 2/21 = 0. Calculate s.
-1, 1/5, 1
Let c(j) be the first derivative of j**4/12 + j**3/3 + 19*j + 20. Let r(v) be the first derivative of c(v). Factor r(z).
z*(z + 2)
Let t(w) be the first derivative of -w**4/4 + 46*w**3/3 + 95*w**2/2 + 48*w + 479. What is f in t(f) = 0?
-1, 48
Factor 82*s**3 + 58*s**4 - 31*s**3 + 14*s**2 - 31*s**5 + 4*s**5 + 5*s**4 - 5*s**2.
-3*s**2*(s - 3)*(3*s + 1)**2
Suppose u = -u + 14. Suppose 6*v - 13*v + 21 = 0. Factor -u*z**2 - z**2 - 10*z**2 - 10*z**v - 2*z**4 - 14*z - 4.
-2*(z + 1)**3*(z + 2)
Let s(y) = -2*y**3 - y**2 + y - 2. Let o(t) = -27*t**3 - 12*t**2 + 29*t - 6. Let i(x) = -2*o(x) + 26*s(x). Factor i(p).
2*(p - 5)*(p + 2)**2
Let b = 282 - 275. Suppose -3*h + 13 = 2*o, 0 = -b*o + 3*o - 4*h + 20. Solve 0 + 15/2*v**5 + 19*v**3 - 4*v - 49/2*v**4 + 2*v**o = 0 for v.
-2/5, 0, 2/3, 1, 2
Let a(y) be the first derivative of y**4/8 - 11*y**3/3 + 21*y**2/4 - 179. Factor a(u).
u*(u - 21)*(u - 1)/2
Let d be (3312/1932)/(16/14). Find y such that d + 3/2*y**2 - 3*y = 0.
1
Let u be (30/(-175))/(5/(-35)). Factor -2*b + u*b**2 + 4/5.
2*(b - 1)*(3*b - 2)/5
Let a(y) be the second derivative of -y**6/30 - y**5/5 + 8*y**3/3 + 6*y**2 - 8*y. Let z(s) be the first derivative of a(s). Suppose z(g) = 0. Calculate g.
-2, 1
Let d(x) be the first derivative of 1/18*x**3 + 1/3*x**2 - 12 + 2/3*x. Determine m, given that d(m) = 0.
-2
Let k(l) be the first derivative of -l**5/25 + 8*l**4/5 - 128*l**3/5 + 1024*l**2/5 - 4096*l/5 + 525. Determine h so that k(h) = 0.
8
What is z in 90*z - 50*z**2 + 74*z + 2*z**2 + 10 - 129 + 4*z**3 - 1 = 0?
1, 5, 6
Let k be (-5 - 1)*6/9. Let g = k - -8. Let 6*i**g + 3 - 3*i**4 - 1 - 6*i**2 + 1 = 0. Calculate i.
-1, 1
Let n = 1247 + -1244. Let q(g) be the third derivative of 0 + 0*g + 4*g**2 - 1/210*g**5 + 1/42*g**4 + 1/7*g**n. Factor q(f).
-2*(f - 3)*(f + 1)/7
Let l = -36/77 - -642/385. Factor -l*r + 0 - 2/5*r**3 + 8/5*r**2.
-2*r*(r - 3)*(r - 1)/5
Let k be 30/(-48) + 210/80. Factor 0 + l - 1/5*l**k.
-l*(l - 5)/5
Let d(l) = l - 1. Let k(w) = 11*w - 2. Let f(q) = 2*d(q) - k(q). Let u(r) = r**2 - 18*r - 1. Let o(n) = -13*f(n) + 6*u(n). Factor o(b).
3*(b + 2)*(2*b - 1)
Determine m so that 10/19*m**2 + 12/19 - 34/19*m = 0.
2/5, 3
Let j = 58 + -1739/30. Let k(l) be the third derivative of -j*l**5 + 1/75*l**6 + 1/60*l**4 + 0*l + 6*l**2 + 0 + 0*l**3. Suppose k(a) = 0. What is a?
0, 1/4, 1
Let b = 3636391/40 + -90905. Let h = b + -35/8. Factor h*q**2 + 0 - 2/5*q.
2*q*(q - 1)/5
Let o(x) be the first derivative of -5*x**3/3 + 5*x**2 + 15*x - 112. Factor o(p).
-5*(p - 3)*(p + 1)
Let m(u) be the second derivative of -u**5/80 + u**4/4 - 11*u**3/24 - 465*u. Let m(t) = 0. Calculate t.
0, 1, 11
Let r(c) = 44*c**3 + c**2 - c + 1. Let a be r(1). Suppose 2*l = -2*l + 5*s + 195, 5*l = 5*s + 240. Determine w so that -3*w - l - 3*w**2 + a = 0.
-1, 0
Let h(z) = 9*z + 198. Let x(o) = -3*o - 66. Let k(c) = -3*h(c) - 8*x(c). Let w be k(-23). Factor 1/3*j**2 - 1/3*j**w + 0 + 2/3*j.
-j*(j - 2)*(j + 1)/3
Let r be (4 + (-38)/8)*4. Let k be r*2*(-6)/63. Factor 0 + 0*w + k*w**2 - 2/7*w**3.
-2*w**2*(w - 2)/7
Let m(j) = 3*j**3 + 15*j**2 + j + 7. Let r be m(-5). Let p(z) = 26*z**2 - 24*z - 12. Let l(k) = k**2 - k - 1. Let w(t) = r*p(t) - 20*l(t). Factor w(o).
4*(o - 1)*(8*o + 1)
Let v(j) be the first derivative of 1/7*j**2 + 2/35*j**5 - 1/14*j**4 - 2/7*j**3 + 4/7*j + 36. Let v(i) = 0. What is i?
-1, 1, 2
Suppose 9*d - 135 = -117. Let m(w) be the first derivative of w + 5/2*w**d + 25/12*w**3 - 1. Solve m(b) = 0.
-2/5
Determine o so that -12*o**2 + 1642 + o**3 + 2*o**3 + o**3 - 1646 + 12*o = 0.
1
Let a = -245 + 168. Let o be a/(-14) - (-2 - 7/(-2)). Factor 2/5*y**3 + 0*y + 0 - 1/5*y**o - 1/5*y**2.
-y**2*(y - 1)**2/5
Let f = -1471 - -2945/2. Factor -7/2*n - 1/2*n**3 + f + 5/2*n**2.
-(n - 3)*(n - 1)**2/2
Let g(n) = -2*n**4 - 6*n**3 + 5*n**2 + 6*n - 3. Let p(a) = 3*a**4 + 7*a**3 - 6*a**2 - 8*a + 4. Let o(h) = -4*g(h) - 3*p(h). Determine m so that o(m) = 0.
0, 1, 2
Let z(s) be the third derivative of -s**5/20 - 9*s**4/8 + 9*s**2 + 3*s. Let z(f) = 0. Calculate f.
-9, 0
Let n(u) be the third derivative of -u**5/12 + 155*u**4/6 - 9610*u**3/3 + 22*u**2 - 4*u. Factor n(j).
-5*(j - 62)**2
Let q(x) = x**3 + x**2 - 1. Let j(m) = 8*m**3 + 12*m**2 - 14. Let n = -59 - -60. Let f(c) = n*j(c) - 6*q(c). Solve f(d) = 0 for d.
-2, 1
Factor -4/9 + 2/9*y**3 - 2/9*y + 4/9*y**2.
2*(y - 1)*(y + 1)*(y + 2)/9
Let p be (3/(-9))/(-1 - (-69)/72). Suppose -2*j + p = 4. Factor 2/5*o + 2/5 - 2/5*o**j - 2/5*o**3.
-2*(o - 1)*(o + 1)**2/5
What is x in 294/5*x**3 + 0*x + 42*x**4 + 12*x**2 + 0 - 24/5*x**5 = 0?
-1, -1/4, 0, 10
Let q(v) be the first derivative of -v**5/2 + 4*v**4/3 + 4*v**3/3 - 15*v - 20. Let t(g) be the first derivative of q(g). Find u such that t(u) = 0.
-2/5, 0, 2
Let r be (-8 + (-3 - -11))/(3 + -1). Suppose 0 + r*h + 2/5*h**2 = 0. Calculate h.
0
Let u(t) be the first derivative of 45 + 1/5*t**5 - 1/12*t**6 + t**4 + 0*t + 0*t**3 + 0*t**2. Factor u(g).
-g**3*(g - 4)*(g + 2)/2
Let l(h) be the first derivative of -h**5/5 - h**4/3 + 2*h**3/3 + 2*h**2 - 28*h - 18. Let g(u) be the first derivative of l(u). Let g(f) = 0. What is f?
-1, 1
Factor -280*d - 2714/3*d**2 - 242/3*d**4 - 24 - 1540/3*d**3.
-2*(d + 3)**2*(11*d + 2)**2/3
Let r be 0 - 2*(2 + -5). Let f be 1 - (r - 3) - 0. Let a(h) = 2*h**2 - h + 5. Let b(k) = 2*k**2 - 2*k + 4. Let z(i) = f*a(i) + 3*b(i). Factor z(w).
2*(w - 1)**2
Let v = 119 - 71. Suppose -37*r**2 - 4*r**3 - v*r - 14*r**2 + 75*r**2 + 32 = 0. What is r?
2
Let v(o) be the first derivative of -125*o**6/6 - 480*o**5 - 2630*o**4 + 3200*o**3 - 1000*o**2 - 31. Factor v(x).
-5*x*(x + 10)**2*(5*x - 2)**2
Let n(g) be the second derivative of -17/24*g**3 + 1/16*g**4 - 15*g + 0 + 5/4*g**2. Factor n(w).
(w - 5)*(3*w - 2)/4
Let m(r) be the second derivative of r**6/6 - 9*r**5/2 + 55*r**4/4 - 40*r**3/3 - 342*r. Factor m(t).
5*t*(t - 16)*(t - 1)**2
Let h(x) = -4*x**3 + 14*x**2 + 9*x - 2. Let b be h(4). Determine q, given that -28*q - 49/2*q**b - 8 = 0.
-4/7
Let n = 1 - -11. Determine z, given that 10*z**5 - n*z**4 - 25*z**5 + 4*z**3 - 8*z + 0*z**3 + 12*z**2 + 19*z**5 = 0.
-1, 0, 1, 2
Let v(f) = 5*f + 27. Let x be v(-5). Suppose -3*q + 5*q**5 - 2*q - 120*q**4 - 10*q**x + 251*q**4 - 121*q**4 = 0. What is q?
-1, 0, 1
Let w(o) be the third derivative of -o**7/420 - o**6/90 - o**5/60 + 17*o**3/6 - 4*o**2. Let m(t) be the first derivative of w(t). Factor m(h).
-2*h*(h + 1)**2
Suppose -465*b + 231*b = -170*b - 256. Factor 32/3*q + b + 28/3*q**2 + 8/3*q**3.
4*(q + 1)**2*(2*q + 3)/3
Suppose -5*t + 0 = -10. Factor 34*v - t*v**2 - v**3 + 3*v**3 - 36*v + 2.
2*(v - 1)**2*(v + 1)
Let q(t) be the third derivative of -1/40*t**6 - 1/48*t**4 + 0*t**3 - t**2 + 0 - 1/105*t**7 - 1/30*t**5 - 1/672*t**8 + 0*t. Factor q(p).
-p*(p + 1)**4/2
Let a(w) be the first derivative of -w**5/70 + 2*w**4/21 + 5*w**3/21 + 15*w - 2. Let d(l) be the first derivative of a(l). Find c, given that d(c) = 0.
-1, 0, 5
Factor -1/6*s**5 + 1/6*s**3 + 0*s - 1/6*s**2 + 1/6*s**4 + 0.
-s**2*(s - 1)**2*(s + 1)/6
Let d(n) = 2*n**3 - 12*n**2 + 18*n - 2. Let c(r) = 54*r + 6*r**3 - 7 - 17*r**2 - 12*r**2 - 7*r**2. Let t(u) = 6*c(u) - 17*d(u). What is j in t(j) = 0?
1, 4
Let g = 4 + 31. Let r be (-12)/21*g/(-30). Factor -r*h - 4/3 + 2*h**2.
2*(h - 1)*(3*h + 2)/3
Factor 1/7*r**3 + 0 + 0*r**2 - 4/7*r.
r*(r - 2)*(r + 2)/7
Let g(h) be the third derivative of h**6/40 + 31*h**5/20 + 28*h**4 - 128*h**3 + h**2 + 27*h. Factor g(c).
3*(c - 1)*(c + 16)**2
Let x be (36/(-8))/((-41)/(492/144)). Factor -3/4 + 3/8*h - x*h**3 + 3/4*h**2.
-3*(h - 2)*(h - 1)*(h + 1)/8
Let q be (-30)/(-108) + ((-14)/(-144) - 1/(-8)). Suppose 1/2 + v**3 + 0*v**2 - q*v**4 - v = 0. Calculate v.
-1, 1
Let a(y) be the second derivative of -y**8/3360 + y**7/1680 + y**6/360 - 3*y**3 + 22*y. Let k(l) be the second derivative of a(l). Factor k(p).
-p**2*(p - 2)*(p + 1)/2
Suppose -3*j + 2 = -5*j. L