u**3 + u**4 - 10. Solve r(m) = 0.
-1, 1, 2
Let b(n) = 2*n**3 - 26*n**2 + 25*n + 2. Let l be b(12). Let m be (9064/(-309))/(l/(-3)). Factor 2/7*d**2 + m*d + 242/7.
2*(d + 11)**2/7
Let n(q) be the third derivative of 11/9*q**3 + 0*q - 1/270*q**5 + 0 - 8/27*q**4 - 274*q**2. Let n(s) = 0. Calculate s.
-33, 1
Suppose 4*w + o - 67 = -56, -13*w = 4*o - 38. Factor -4/5 - 36/5*m**3 + 4*m - 12/5*m**w.
-4*(m + 1)*(3*m - 1)**2/5
Let d(i) = 9*i**3 - 13*i**2 + 8*i + 7. Let a(z) be the first derivative of z**3/3 - z**2/2 - z - 43. Let j(f) = -21*a(f) - 3*d(f). Find s, given that j(s) = 0.
0, 1/3
Let n(f) = 10*f**2 - 39*f. Let i = 78 - 66. Let h = i + -3. Let a(y) = 5*y**2 - 19*y. Let g(x) = h*a(x) - 4*n(x). Factor g(t).
5*t*(t - 3)
Let r(t) be the third derivative of 0*t - 14/9*t**3 + 1/4*t**4 - 10*t**2 - 1/90*t**5 + 4. Let r(b) = 0. What is b?
2, 7
Let p(q) = 4*q**3 - 60*q**2 - 87*q - 48. Let z(i) = 3*i**3 - 58*i**2 - 89*i - 48. Let b(f) = 4*p(f) - 5*z(f). Suppose b(t) = 0. Calculate t.
-48, -1
Let g = 292356 + -3215904/11. Solve -g + 10/11*y + 2/11*y**2 = 0.
-6, 1
Let i = 4820/13 - 33662/91. Let -16/7*c - 2/7*c**4 + i + 12/7*c**2 + 0*c**3 = 0. Calculate c.
-3, 1
Let y(l) be the first derivative of 85 - 14/9*l**3 + 0*l**2 - 1/12*l**4 + 0*l. Factor y(c).
-c**2*(c + 14)/3
Let i(b) = -98*b**3 - 336*b**2 + 2176*b - 3256. Let y(w) = -9*w**3 + 3*w**2 - w + 1. Let o(t) = 2*i(t) - 22*y(t). Factor o(a).
2*(a - 363)*(a - 3)**2
Let o(b) be the first derivative of b**6/12 - 9*b**5/2 + 83*b**4/8 + 137*b**3/6 - 87*b**2 + 86*b - 406. Determine x so that o(x) = 0.
-2, 1, 2, 43
Let x = 90 - -18. Factor 794*y**2 + 79*y**2 + 28*y + 882*y + x*y + 372 + 110*y + 27*y**3.
3*(y + 31)*(3*y + 2)**2
Let f(u) be the first derivative of -5*u**4/4 + 130*u**3/3 - 115*u**2/2 - 250*u + 162. Suppose f(g) = 0. What is g?
-1, 2, 25
Let s be 1 + (-2328)/(-16) + (-1)/(-2). Let -3*y + 24 - s*y**2 + 151*y**2 - 17*y = 0. What is y?
2, 3
Let b(d) be the first derivative of 2*d**6/3 - 68*d**5/5 + 56*d**4 - 208*d**3/3 + 212. Factor b(p).
4*p**2*(p - 13)*(p - 2)**2
Let w(p) = 5*p**3 + 29*p**2 - 8*p - 32. Let z(d) = -2*d**3 - 10*d**2 + 2*d + 10. Suppose 5*v - 108 + 123 = 0. Let x(t) = v*w(t) - 8*z(t). Factor x(o).
(o - 4)**2*(o + 1)
Suppose -578 + 125 = 61*f - 212*f. Suppose 52/9*z**2 - 20*z + 4*z**f + 4/9*z**4 - 200/9 = 0. Calculate z.
-5, -1, 2
Let j be (-40 - 2119/(-52))*(300/(-81) + 4). Let u be (0 + 0)*(1 + 0). Factor u*x - j + 2/9*x**2.
2*(x - 1)*(x + 1)/9
Let b = -853 - -854. Let f be ((-15)/(-28))/b + 73/(-292). Factor 2*q + f*q**2 - 10/7 - 6/7*q**3.
-2*(q - 1)**2*(3*q + 5)/7
Let 4*u**5 - 1119*u**2 + 8928*u + 1068*u**3 - 693*u**2 - 5184 - 2896*u**2 - 108*u**4 = 0. Calculate u.
1, 4, 9
Let d(w) be the third derivative of 5*w**8/1008 - w**7/18 + 5*w**6/36 - 9*w**2 - 14*w. Determine i so that d(i) = 0.
0, 2, 5
Let m(h) be the second derivative of -271*h - 4050*h**2 - 60*h**3 + 0 - 1/3*h**4. Let m(s) = 0. What is s?
-45
Let h = -64139/88 - -5833/8. Factor -1/11*c**4 + 0*c + 0 + h*c**3 - 2/11*c**2.
-c**2*(c - 2)*(c - 1)/11
Let w = -230 - -232. Solve 12*b**3 - 3*b**4 + 4*b**4 - 15 + 14*b**4 + 70*b - w*b**3 - 80*b**2 = 0.
-3, 1/3, 1
Let w(y) be the first derivative of -y**5 + 65*y**4/4 - 40*y**3 + 189. Let d(b) = -b**3 + 2*b**2. Let t(l) = -30*d(l) - w(l). Factor t(a).
5*a**2*(a - 4)*(a - 3)
Let j(z) be the first derivative of 14*z + 4/3*z**3 - 2*z**2 - 26 - 5/12*z**4 + 1/20*z**5. Let a(r) be the first derivative of j(r). Factor a(m).
(m - 2)**2*(m - 1)
Suppose 10 - 19 = 9*x. Let q be 3/x - (-7)/(-21)*-15. Determine t so that -4/9*t**q - 1/9*t**3 + 0 - 1/3*t = 0.
-3, -1, 0
Let j = 52739/43945 - 1/8789. What is f in 0 + j*f**2 - 12/5*f = 0?
0, 2
Suppose -196*l - 5603 - 4*l**5 + 255*l**2 + 5327 + 3*l**3 + 105*l**2 + 197*l**3 - 84*l**4 = 0. What is l?
-23, -1, 1, 3
Let z(f) be the second derivative of -1/60*f**4 - 1/15*f**3 - 1/10*f**2 - 79*f + 0. Factor z(n).
-(n + 1)**2/5
Let v be (((-8)/(-12))/(2/(-6)))/(104/(-39)). Solve -1/4*o**5 - 5/4*o**4 - 3/2*o**3 + 7/4*o + 1/2*o**2 + v = 0.
-3, -1, 1
Factor -191*i + 155*i - 512*i + 552 - 4*i**2.
-4*(i - 1)*(i + 138)
Let g(j) be the first derivative of -j**5/4 - 5*j**4/6 + 5*j**3/6 + 5*j**2 - 36*j + 26. Let a(p) be the first derivative of g(p). Find u, given that a(u) = 0.
-2, -1, 1
Factor -18*n**2 + 0*n - 2/3*n**4 + 56/3*n**3 + 0.
-2*n**2*(n - 27)*(n - 1)/3
Factor 5880 + 286/5*d**2 + 2/5*d**3 + 2128*d.
2*(d + 3)*(d + 70)**2/5
Suppose 3/7*q**2 + 38829 + 258*q = 0. What is q?
-301
Let q(m) be the third derivative of -m**5/20 + 86*m**4 - 686*m**3 - 7771*m**2. Factor q(b).
-3*(b - 686)*(b - 2)
Let h(r) = -7*r**2 + 9*r. Let y be h(1). Let 0 + 8*f**3 + f**4 + 0 + 0 + 5*f**y - 9533*f + 9519*f = 0. What is f?
-7, -2, 0, 1
Let n(j) be the third derivative of -8*j**5/225 - 49*j**4/180 - j**3/15 - 937*j**2. Factor n(s).
-2*(s + 3)*(16*s + 1)/15
Suppose -45*s - 72 = -47*s. Factor 44 + 140*k + 460*k**2 - 5*k**4 + s - 5*k**3 - 400*k**2.
-5*(k - 4)*(k + 1)*(k + 2)**2
Let s(a) = 7*a - 8. Let c = 119 - 113. Let p be s(c). Let w**3 - 5*w**2 + w**2 - p*w**4 - 9*w**3 + 30*w**4 = 0. What is w?
-1, 0
Determine r, given that 16*r**3 - 79*r**2 + 226*r**2 - 13*r - 63*r - 72*r**2 - 65*r**2 + 48 + 2*r**4 = 0.
-6, -4, 1
Let h(t) = -9*t - 50. Let g be h(-6). Find q such that g*q**2 + 532 + 350 - 84*q - 9*q**2 + 7*q**2 = 0.
21
Let m(p) = -3*p + 2. Let b be m(1). Let u be (55 - 49)*(1/(-2) - b). What is d in -3*d**u + 58*d**2 + 3*d - 58*d**2 = 0?
-1, 0, 1
Suppose 424*d - 422*d = 42. Factor -73*p - d*p**2 + 4*p**3 + 37*p - 19*p**2 + 36*p.
4*p**2*(p - 10)
Suppose 4*h - 25 = -7*u + 10*u, h + u - 1 = 0. Suppose 2 - 12*b**3 - 4*b + b**4 - h*b**2 - 2 + 26*b**3 - 13*b**3 = 0. What is b?
-2, -1, 0, 2
Let -5*i**3 + 200*i - 550*i + 1765*i**2 - 1860*i**2 = 0. Calculate i.
-14, -5, 0
Let b(x) be the third derivative of x**6/24 + 7*x**5/12 + 25*x**4/12 + 6*x**2 + 4. Factor b(w).
5*w*(w + 2)*(w + 5)
Suppose -3*r - 21948 + 21885 = -4*f, 0 = -f - 6*r - 45. Determine i so that 3/2*i - 3*i**2 + f = 0.
-3/2, 2
Solve 1/3*v**4 - 33*v + 90 - 49*v**2 - 25/3*v**3 = 0.
-3, 1, 30
Let v be (-1)/3 - (-26)/6. Suppose 0 = -4*m - 7*a + 22, -19*m + 2 = -21*m + 3*a. Solve 3*z**4 + 3 - 30*z**3 + 65*z**2 + m*z**v + 17 - 60*z = 0.
1, 2
Let u(x) = x**3 - 7*x**2 - 17*x + 11. Let y(h) = 4*h**3 - 27*h**2 - 76*h + 45. Let k(a) = 9*u(a) - 2*y(a). Find l such that k(l) = 0.
-1, 1, 9
Suppose 686*c - 3 = 685*c. Factor 0 - 96/7*y**2 - 4/7*y**5 - 32/7*y**4 - 88/7*y**c - 36/7*y.
-4*y*(y + 1)**2*(y + 3)**2/7
Let x(g) = 2*g + 109. Let m be x(5). Let u = m - 355/3. Factor 0*a**2 + 0 + 0*a - u*a**3.
-2*a**3/3
Let d be 1/(-9) - (32/24)/(12/(-28)). Let t(q) be the third derivative of 0*q**4 + 0*q**d - 1/320*q**6 + 0*q - 1/240*q**5 + 0 - 1/1680*q**7 - q**2. Factor t(b).
-b**2*(b + 1)*(b + 2)/8
Let a(t) be the second derivative of 55/12*t**4 - 10*t**2 - 3*t**5 + 40*t - 2 - 7/6*t**6 + 10*t**3. Determine x so that a(x) = 0.
-2, -1, 2/7, 1
Suppose 22*u - 21 + 1913 = 0. Let l = 88 + u. Factor -3/8*o + 3/4 + 3/8*o**3 - 3/4*o**l.
3*(o - 2)*(o - 1)*(o + 1)/8
Suppose 2*f - 5 = 3*c + 9, c + f - 2 = 0. Let i be (-62)/8 - c - (0 - 6). Factor -q + 0 - i*q**2.
-q*(q + 4)/4
Let n(f) = -f**2 - 11. Let a(j) = -10*j**2 + 5400*j - 1458055. Let z(c) = -a(c) + 5*n(c). Factor z(t).
5*(t - 540)**2
Suppose 2*b + x = -0*b, -6*b + 48 = -0*x - 5*x. Suppose -9/2*a**5 - 25/2*a**4 + 3*a**b + 0 - 4*a + 18*a**2 = 0. Calculate a.
-2, 0, 2/9, 1
Let g(k) = 91*k**3 - 5*k**2 - 17*k - 25. Let z be g(-3). Let w = z + 17334/7. Suppose -2/7*o**3 + 8/7*o + w*o**2 - 8/7 = 0. What is o?
-2, 1, 2
Let g be (18/(-4))/((-3)/(-18)). Let d = g + 31. Find v such that 3*v**3 - 3*v**d + 6 + 7*v**2 - 74*v + 2*v**2 + 59*v = 0.
-2, 1
Let t(y) = -y**3 + 3*y. Let f(c) = 9*c**2 + 21*c + 45*c**2 + 24*c**2 + 21*c**3 + 6 + 38*c. Let u(v) = f(v) + 2*t(v). Factor u(z).
(z + 1)*(z + 3)*(19*z + 2)
Suppose -5*l - 192 = 2*q + 8, 78 = -q + 3*l. Let x = q + 93. Suppose 36*i**x - 6*i + 9*i + 8*i**2 - 3*i = 0. What is i?
-2/9, 0
Let m be (-2 - 20/(-12))*(-1 + -5). Factor -1936 - 6*i**2 - 17*i - 159*i + m*i**2.
-4*(i + 22)**2
Factor -157*t + 3*t**3 + 515*t**2 + 37*t - 43*t - 9*t.
t*(t + 172)*(3*t - 1)
Let v(d) = -6 + 0 - d + 2 - 4. Let z be v(-8). Determine u so that 1 - u**2 + 2*u**3 - 1/2*u**5 + z*u**4 - 3/2*u