Let w(t) = y*a(t) + 5*o(t). Factor w(b).
-2*(b - 1)*(7*b - 1)
Let o(p) = 7*p**2 - 39. Suppose -5*f - 9 = 3*i + 3, f = 5*i - 8. Let d(k) = k**2 - 1. Let h(z) = i*o(z) - 3*d(z). Factor h(l).
4*(l - 3)*(l + 3)
Let d(i) = i**2 + i + 1. Let x(m) = -102*m**2 + 52*m + 1 - 12 + 72*m - 16*m - 25. Let v = -2 + 1. Let r(b) = v*x(b) - 4*d(b). Let r(a) = 0. What is a?
4/7
Let b(h) = h**2 - 4. Let t(q) = 4*q**2 + 36*q - 12. Let d(w) = -15*b(w) + 5*t(w). Factor d(m).
5*m*(m + 36)
Let n(b) be the second derivative of -b**7/21 - 34*b**6/15 - 61*b**5/10 + 16*b**4 - 1242*b. Determine c so that n(c) = 0.
-32, -3, 0, 1
Suppose -237*t + 1336 = 185 + 440. Find n, given that 1/2*n**t - 2*n**2 + 5 - 7/2*n = 0.
-2, 1, 5
Suppose -5/3*j**3 - 3675 - 11035/3*j**2 - 22055/3*j = 0. Calculate j.
-2205, -1
Let w(n) be the first derivative of -n**5/120 + 7*n**4/36 - 13*n**3/36 + 174*n - 229. Let y(p) be the first derivative of w(p). Factor y(i).
-i*(i - 13)*(i - 1)/6
Let d be 14 - 2/28*(-40896)/(-213). Factor -12/7*t**3 - d*t + 0 + 9/7*t**2 + 5/7*t**4.
t*(t - 1)**2*(5*t - 2)/7
Let k(r) = -159*r**2 + 21143*r + 535. Let q be k(133). Suppose -2*o - 12 = -5*o. Factor 0 - 24/11*i**2 + 0*i - 144/11*i**q - 210/11*i**o.
-6*i**2*(5*i + 2)*(7*i + 2)/11
Suppose 23*u - 8 - 107 = 0. Suppose 4*y = 4*m + 4, -2*y + 6*y = -u*m + 22. Solve 32/7 - 8/7*d**m + 16/7*d - 4/7*d**3 = 0 for d.
-2, 2
Let h(u) be the first derivative of -34*u**3 - 212 + 1/2*u**6 + 21/5*u**5 + 81*u - 33/2*u**4 + 63/2*u**2. What is k in h(k) = 0?
-9, -1, 1, 3
Factor 7/4*x**2 + 0 - 9/2*x.
x*(7*x - 18)/4
Suppose 4*c - 142*v = -146*v, c + 20 = 4*v. Let a be (28/c)/((-63)/18). Factor 1/4*w**3 + 1/2*w**a - 3/4*w + 0.
w*(w - 1)*(w + 3)/4
Let b(a) be the second derivative of a - 9*a**3 + 33/4*a**4 - 12*a**2 + 1 - 21/20*a**5. Solve b(y) = 0 for y.
-2/7, 1, 4
Factor -681*j**2 - 296*j + 223*j**2 - 2502 + 228*j**2 + 228*j**2.
-2*(j + 9)*(j + 139)
Let n(c) be the third derivative of c**5/12 + 75*c**4/8 + 2043*c**2 - 3. Factor n(l).
5*l*(l + 45)
Determine s so that 68/3*s + 6*s**2 + 16 - 2/3*s**3 = 0.
-2, -1, 12
Let q be 2*2/8 - 9/(-6). Suppose -16 + 20 = q*i. Factor 25*o - 58*o + i - 3*o**2 + 30*o + 2*o**3.
(o - 2)*(o + 1)*(2*o - 1)
Let f(a) be the second derivative of -a**4/48 - 62*a**3/3 - 7688*a**2 + a + 93. Factor f(j).
-(j + 248)**2/4
Let d(o) be the second derivative of -3/20*o**5 + 5/36*o**4 + 1/3*o**2 + 106*o - 7/90*o**6 + 0 + 1/2*o**3. Solve d(m) = 0 for m.
-1, -2/7, 1
Solve -1/3*i**4 + 0 - 16/3*i**2 - 12*i + 19/3*i**3 = 0 for i.
-1, 0, 2, 18
Let o be (-19 - (-80)/(-8)) + 13 + 4 - -12. Factor 2/7*p**3 + 12/7 + o*p**2 - 2*p.
2*(p - 2)*(p - 1)*(p + 3)/7
Let a(z) = z**4 + 2*z**2 + z. Let k(u) = 15*u**4 + 25*u**3 - 54*u**2 - 660*u - 792. Let c(o) = -80*a(o) + 5*k(o). Find i, given that c(i) = 0.
-2, 11, 18
Determine g, given that 462*g**3 + 3/5*g**5 + 228*g**2 - 1728/5 - 2313/5*g + 588/5*g**4 = 0.
-192, -3, -1, 1
Let p(o) be the first derivative of -1/12*o**3 - 3/2*o**2 - 11/4*o - 38. Find c, given that p(c) = 0.
-11, -1
Factor 97500 - 26*y**3 + 101*y**2 + 51*y**3 - 3600*y - 288*y**2 - 74*y**2 - 28*y**3.
-3*(y - 13)*(y + 50)**2
Let d(f) = -f**2 - 2896*f + 414716. Let h(u) = -5*u**2 - 5800*u + 829430. Let g(a) = 5*d(a) - 2*h(a). Solve g(k) = 0 for k.
288
Let u(f) be the third derivative of -f**7/11340 - 23*f**6/1080 + 7*f**5/54 + 65*f**4/12 + 53*f**2. Let h(w) be the second derivative of u(w). Factor h(o).
-2*(o - 1)*(o + 70)/9
Let p be (-289)/(-85) - 9/(-15). Let q be (-11*(-36)/1056)/(3/p). Factor 0 + b - q*b**2.
-b*(b - 2)/2
Let i**5 + 232082*i**2 - 68*i**3 - 40*i**4 - 231634*i**2 + 230*i**3 + 245*i = 0. Calculate i.
-1, 0, 7, 35
Let u(v) be the first derivative of 0*v - 1/8*v**4 - 3/4*v**2 - 2/3*v**3 + 4. Factor u(j).
-j*(j + 1)*(j + 3)/2
Let u be 42/(-70) - (-23)/5. Let s be (-2)/u - (-7 + 3056/480). Factor 8/5*z + 4/5*z**2 + 16/15 + s*z**3.
2*(z + 2)**3/15
Let n(v) = -721*v + 2886. Let d be n(4). Find q, given that -d - 86/9*q**2 - 8/9*q**4 + 22/3*q + 46/9*q**3 = 0.
3/4, 1, 3
Determine p, given that 41*p**2 - 24*p**2 + 49*p**2 + 48*p - 20*p**2 = 0.
-24/23, 0
Suppose -1176477/5*s**3 + 9864/5*s**4 + 4262478/5*s**2 - 1302936/5 - 21/5*s**5 - 3246156/5*s = 0. What is s?
-2/7, 2, 233
Let p be 21 + (-12 - -206*(-19)/570). What is v in 0 + 0*v**3 + 32/15*v + 8/15*v**4 - 2/15*v**5 - p*v**2 = 0?
-2, 0, 2
Let k(c) be the second derivative of c**6/75 - 4*c**5/25 + 7*c**4/10 - 22*c**3/15 + 8*c**2/5 - 10*c - 1. Find q such that k(q) = 0.
1, 2, 4
Let p(s) be the second derivative of 7*s + 2/27*s**3 + 0 - 1/135*s**6 + 1/54*s**4 + 0*s**2 - 1/45*s**5. Let p(x) = 0. What is x?
-2, -1, 0, 1
Let j(b) be the third derivative of 245/36*b**5 - 105*b**2 + 35/36*b**4 + 1/18*b**3 + 0 + 0*b. Factor j(o).
(35*o + 1)**2/3
Let a be (5/(-40))/(6/(-144)). Let -14*x + 18*x - 3*x**3 - 6*x**a - 2*x**2 + 6*x**3 + x**3 = 0. What is x?
-2, 0, 1
Let b(o) = 3*o + 26. Let z be b(-8). Let w be (-2 - -1)*2/(-1). Factor 11*v**z + 3*v**3 + 5*v**w - 28*v**2 - 6 + 15*v.
3*(v - 2)*(v - 1)**2
Factor 68/11 + 6*b - 2/11*b**2.
-2*(b - 34)*(b + 1)/11
Suppose -3*j - 2 = 5*u, 2*u = -0*u - 3*j + 1. Let q(h) = 4*h**2 + 33*h + 51. Let z(i) = -i**2 - 2*i + 1. Let l(s) = u*z(s) + q(s). Solve l(d) = 0 for d.
-5, -2
Let i(a) be the first derivative of a**3/12 - 11*a**2/4 + 105*a/4 - 3572. Determine f, given that i(f) = 0.
7, 15
Factor -120/7*i - 3/7*i**2 + 0.
-3*i*(i + 40)/7
Suppose 0 = -82*h + 101 + 96 + 213. Let x(q) = 3*q - 3. Let c be x(2). Determine n, given that 4/3*n - 2/3*n**c + 2*n**2 - 2/3*n**h + 0 - 2*n**4 = 0.
-2, -1, 0, 1
Let x = -10731 - -10731. Let b(o) be the second derivative of 0*o**5 + 21*o + 0 + 0*o**2 + x*o**3 - 2/15*o**4 + 1/75*o**6. Factor b(h).
2*h**2*(h - 2)*(h + 2)/5
Let c be (142 + -144)*(1*(4 - 5) + 0). Let 5/4*g - 1/4*g**c - 3/2 = 0. What is g?
2, 3
Let u(k) = k**3 + 4*k**2 - 11*k + 1. Let l be u(-6). Let h be 20/(l - -10) + -4. Factor h - 4/17*w**3 + 0*w**2 - 2/17*w**4 + 2/17*w**5 + 0*w.
2*w**3*(w - 2)*(w + 1)/17
Suppose -745*k + 177*k - 684*k = -2504. Determine g so that 0*g - 1/4*g**3 + 0 + 1/2*g**k = 0.
0, 2
Let t(g) be the second derivative of -g**4/42 - 58*g**3/21 - 16*g**2 + 3029*g. Factor t(m).
-2*(m + 2)*(m + 56)/7
Let l(d) = -62*d**2 - 58*d**2 - 41*d**2 + 56*d**2 + 2*d + 3*d. Let n(t) = -52*t**2 + 5*t. Let u(m) = -2*l(m) + 5*n(m). Let u(f) = 0. Calculate f.
0, 3/10
Determine s, given that -60992*s**3 + 30700*s**3 + 1902*s**2 + 30673*s**3 - 15*s = 0.
-5, 0, 1/127
Let d(q) be the third derivative of -q**5/120 - 217*q**4/16 + 439*q**2. Factor d(y).
-y*(y + 651)/2
Let v(w) = -7*w + 1. Let o(k) = k**2 + k + 124. Let b(u) = 2*o(u) - 6*v(u). Solve b(f) = 0 for f.
-11
Let b = -3/2653 - 244067/7959. Let c = b + 763/24. Suppose 3/8*i**2 + c + 3/2*i = 0. Calculate i.
-3, -1
Let h(m) = m**5 + 17*m**4 + 142*m**3 + 302*m**2 + 261*m + 77. Let g(l) = -l**4 + l**3 + l**2 - 1. Let w = 155 - 154. Let c(y) = w*h(y) - 4*g(y). Factor c(q).
(q + 1)**3*(q + 9)**2
Let x = -17 + 47. Let m = -28 + x. Suppose -119*i + 35*i**3 + 77*i**2 + 38*i**m - 50 + 10 + 9*i = 0. Calculate i.
-4, -2/7, 1
Find t such that -587*t**3 + 949*t**4 + 289*t**2 - 168*t**5 - 180*t**5 - 606*t**2 + 303*t**2 = 0.
-2/87, 0, 1, 7/4
Let a be (16963178/42245)/((-49)/(-5) + -2) + (-2)/39. Factor a*q - 16200/7 - 2/7*q**2.
-2*(q - 90)**2/7
Let q(j) be the second derivative of j**6/6 - 3*j**5 - 15*j**4/2 + 270*j**3 + 3645*j**2/2 + 273*j. Factor q(y).
5*(y - 9)**2*(y + 3)**2
Suppose -32*y + 16496/5*y**3 - 1012/5*y**4 - 64/5 - 4114/5*y**5 + 4064/5*y**2 = 0. Calculate y.
-2, -2/11, 2/17, 2
Let v(x) be the first derivative of 11 + 46*x**3 - 71/3*x**4 - 18*x + 10/3*x**6 - x**5 - 36*x**2. Let j(f) be the first derivative of v(f). Factor j(c).
4*(c - 1)*(c + 2)*(5*c - 3)**2
Let 684/5*l**2 - 504/5*l + 6*l**4 - 16 - 266/5*l**3 = 0. Calculate l.
-2/15, 2, 5
Let n(t) be the first derivative of t**3/12 + 21*t**2/4 + 437*t/4 - 5290. Factor n(v).
(v + 19)*(v + 23)/4
Let 1152*y + 2844*y**2 + 102*y**3 - 21*y**4 + 18*y**4 - 3612*y**2 = 0. Calculate y.
0, 2, 8, 24
Suppose 692 = 149*b + 47*b - 92. Let 0*s - 3/2*s**b + 0 + 9/4*s**3 - 3/4*s**2 = 0. What is s?
0, 1/2, 1
Let z be (-64)/24*1239/(-944). Factor 1/2*c**2 + 5 + z*c.
(c + 2)*(c + 5)/2
Suppose -47*q + 120*q - 219 = 0. Let n(s) be the second derivative of 1/4*s**4 + 3*s