x - 9 = x. Let h be ((1 - m)/4)/(25/(-100)). Let -23*o**2 + 20*o**2 - 24*o - o**h = 0. What is o?
-6, 0
Let r = -438 + 440. Factor -15 - 11 + 25*x**2 - 21*x**2 - r + 24*x.
4*(x - 1)*(x + 7)
Let j = 111610 - 781268/7. Find q such that 2/7*q**2 + 2/7*q**3 - 2/7 - j*q = 0.
-1, 1
Suppose -23*p - 160 = -63*p. Solve -p*s**2 - 8*s + 5*s**2 + 14 - 15 - 8 = 0 for s.
-1, 9
Let f = 144/139 + -42227/41700. Let l(d) be the third derivative of -1/525*d**7 - 11/150*d**5 + 31*d**2 + 0*d**3 - 1/12*d**4 - f*d**6 + 0*d + 0. Factor l(u).
-2*u*(u + 1)**2*(u + 5)/5
Let q(o) be the second derivative of -57*o**5/5 - 65*o**4/3 - 16*o**3/3 - 293*o. Let q(a) = 0. What is a?
-1, -8/57, 0
Let g(a) = -10*a**2 - 8195*a + 7925. Let l(j) = -j**2 - 911*j + 880. Let y(b) = 4*g(b) - 35*l(b). Factor y(o).
-5*(o - 1)*(o + 180)
Let q be (24/(-110))/(-53 - 11528/(-220)). Factor -q - 3/11*x**3 + 5/11*x**2 + 4/11*x.
-(x - 2)*(x + 1)*(3*x - 2)/11
Let j(l) be the second derivative of l**5/120 - 5*l**4/72 + 2*l**3/9 - l**2/3 - 130*l + 9. Factor j(x).
(x - 2)**2*(x - 1)/6
Let p be 514/10 + (-46 - 5). Find y such that 0 + 2/15*y**3 + 4/15*y**2 - p*y = 0.
-3, 0, 1
Let i(o) = -5*o**3 - 2*o**2 - 4 - 11 + 10 + 4*o**3 - 5*o. Let m be i(-2). Factor -6 - 7*w - 2*w**2 + m*w**2 + 10*w.
3*(w - 1)*(w + 2)
Let a(x) = -9*x - 90*x**3 - 3731 - 20*x**2 + 3781 + 114*x. Let w(q) = -13*q**3 - 3*q**2 + 15*q + 7. Let z(f) = 2*a(f) - 15*w(f). Factor z(l).
5*(l - 1)*(l + 1)*(3*l + 1)
Let i be (-1)/(-9) + (-11)/(-90) + 14/140. Let d(j) be the second derivative of 0 + i*j**4 - 6*j**2 - 4/3*j**3 + j. Determine w, given that d(w) = 0.
-1, 3
Determine g so that 129/4*g**2 - 45/4*g**4 + 0 + 45/2*g - 9/4*g**3 + 3/4*g**5 = 0.
-1, 0, 2, 15
Suppose -122*h + 120*h + 6 = 0. Let 28*x - 20*x**2 + 15*x**2 + h*x**2 = 0. What is x?
0, 14
Let b(v) be the first derivative of -9/2*v**2 + 4*v**3 + 2/5*v**5 + 342 + 0*v + 11/4*v**4. What is c in b(c) = 0?
-3, 0, 1/2
Let b be 2406/(-24) - (3/4 + -1). Let f be 13 + -10 - (b + -1). Suppose 98 + 2*z**2 - 74 + f - 32*z = 0. What is z?
8
Let o(r) = 53*r**2 - 647*r - 623. Let u(m) = 61*m**2 - 649*m - 622. Let d(l) = -8*o(l) + 7*u(l). Find j, given that d(j) = 0.
-210, -1
Factor 3/7*b**2 - 39/7*b - 6.
3*(b - 14)*(b + 1)/7
Let z(g) be the third derivative of g**8/504 - 32*g**7/315 - 44*g**6/45 - 163*g**5/45 - 257*g**4/36 - 74*g**3/9 - 452*g**2 - 2*g. Let z(w) = 0. What is w?
-2, -1, 37
Let f(k) be the third derivative of -4*k**7/1365 - 37*k**6/780 - 23*k**5/130 - 43*k**4/156 - 7*k**3/39 - k**2 + 156. Let f(a) = 0. What is a?
-7, -1, -1/4
Let p(x) be the first derivative of -75*x**4/4 + 190*x**3 + 237*x**2/2 + 24*x + 1522. Factor p(f).
-3*(f - 8)*(5*f + 1)**2
Suppose f - 859 = -0*o - 3*o, 0 = -f + 4. Factor -135*p**2 + 5*p**3 - 29 - 65 - o*p - 51.
5*(p - 29)*(p + 1)**2
Suppose 1207*o - 1151*o = 2 - 2. Let h(l) be the third derivative of 2/3*l**3 + 0*l + 1/30*l**5 + 1/4*l**4 + o - 7*l**2. Let h(z) = 0. What is z?
-2, -1
Let q(c) be the third derivative of c**6/300 - 13*c**5/6 + 26887*c**4/60 - 25921*c**3/5 + 1272*c**2. Factor q(n).
2*(n - 161)**2*(n - 3)/5
Let y = 23/248 - -1/31. Let s = 47 + -375/8. Factor 0*f + y - s*f**2.
-(f - 1)*(f + 1)/8
Let u(k) = -2*k**2 - 86*k - 78. Let m(z) = 3*z**2 + 173*z + 155. Let o(d) = -2*m(d) - 5*u(d). Factor o(v).
4*(v + 1)*(v + 20)
Let t = -14 + 16. Determine s so that -7488*s**3 - 1703*s - 5376*s**4 - 1846*s**2 - 362*s - 1536*s**5 + 283*s - 3338*s**t - 243 = 0.
-3/4, -1/2
Suppose 8*w + 14 = 12*w + 2*p, -4*p = -w - 1. Let n(h) be the second derivative of 0 - 1/24*h**w - 1/24*h**4 + 1/8*h**2 - 12*h. Factor n(j).
-(j + 1)*(2*j - 1)/4
Suppose 13*d - 11621 = -11556. Let b(o) be the first derivative of -1/8*o**4 + 0*o**2 + 0*o + 1/20*o**d + 1 + 1/12*o**3. Suppose b(h) = 0. What is h?
0, 1
Let d(g) be the first derivative of 5*g**4/42 + 143*g**3/21 - 58*g**2/7 + 185*g + 127. Let n(y) be the first derivative of d(y). Factor n(v).
2*(v + 29)*(5*v - 2)/7
Let n = -124 - -99. Let m = n + 33. Determine p so that 0*p**3 - 6*p**3 + m*p**3 + 8*p**4 = 0.
-1/4, 0
Let p(k) be the third derivative of -1/175*k**7 + 0*k**3 - 9/200*k**6 + 0*k + 0*k**4 + 7*k**2 - 1/25*k**5 - 3. Suppose p(m) = 0. What is m?
-4, -1/2, 0
Let y be (-16 + 24)/(28/26) - (-40)/(-28). Let y*v - 3/2*v**2 - 9/2 = 0. Calculate v.
1, 3
Let w(i) = -i + 8. Let f be w(5). Suppose -8*d = -5*u - f*d + 1490, -4*d = -u + 301. Solve 3*j + 294*j**3 + 11 - 9*j**2 - 2 - u*j**3 = 0 for j.
-3, -1, 1
Let n(c) be the third derivative of -c**6/24 - 218*c**5/45 - 12731*c**4/72 - 841*c**3/9 - 28*c**2 + 2*c. Factor n(d).
-(d + 29)**2*(15*d + 2)/3
Let y(i) = -20*i**4 + 274*i**3 + 266*i**2 - 14*i - 14. Let p(l) = 4*l**4 - 55*l**3 - 53*l**2 + 3*l + 3. Let n(s) = -14*p(s) - 3*y(s). Solve n(v) = 0 for v.
-1, 0, 14
Let t = -75794 - -151597/2. Factor t + 3/4*p**3 + 39/4*p + 6*p**2.
3*(p + 1)**2*(p + 6)/4
Let s(o) be the third derivative of o**7/105 - o**6/12 - 7*o**5/30 + 5*o**4/12 + 2*o**3 - o**2 - 1424*o. Find v such that s(v) = 0.
-1, 1, 6
Let k(w) be the first derivative of w**4/4 - 20*w**3/3 - 2118. Suppose k(a) = 0. What is a?
0, 20
Suppose 4*p - 3*p - 92 = -w, -179 = -2*w - p. Factor -270*z**4 - 13*z - 882*z**3 - 540*z**2 - w*z - 25*z**5 - 137*z**3 + 190*z**3.
-z*(z + 5)**2*(5*z + 2)**2
Let y(m) be the second derivative of -1/2*m**4 + 0*m**2 - 21*m - 1/180*m**6 - 1/12*m**5 + 0 + 41/6*m**3. Let i(s) be the second derivative of y(s). Factor i(f).
-2*(f + 2)*(f + 3)
Let h(w) = -w**2 + 190*w + 51. Let a(s) = -24. Let g(q) = 10*a(q) + h(q). Solve g(p) = 0.
1, 189
Let n be -48 + -28 + 9456/120. Factor 54/5*j**2 + 4 - n*j**3 - 2/5*j**4 - 58/5*j.
-2*(j - 1)**3*(j + 10)/5
Suppose -22*t + 20*t + 8 = 0, -2*c = -t. Suppose 6/5 + 2/15*o**c + 4/5*o = 0. Calculate o.
-3
Let c be 407/(-111)*6/(-11). Let m(k) be the third derivative of 29*k**2 + 0 - c*k**3 + 1/30*k**5 + 0*k + 5/12*k**4. Solve m(r) = 0.
-6, 1
Let u(r) = -r - 14. Let w be u(-17). Suppose h = 3*s + w, 4*h - 5*s - 17 = 2. Factor -5 - 4*q + h + q + q + q**2.
(q - 1)**2
Let g(m) be the second derivative of -m**4/60 - 67*m**3/30 - 96*m**2/5 + 86*m + 13. Suppose g(d) = 0. Calculate d.
-64, -3
Factor -17*j**2 + 80*j**2 - 80 - 78*j - 18*j**2 - 21*j**2 - 22*j**2.
2*(j - 40)*(j + 1)
Let z be 5*2892/(-780) - -19. Suppose 0 + z*n + 2/13*n**2 = 0. Calculate n.
-3, 0
Let y = -214 + 338. Let r = 127 - y. Factor -u - 4 + u**r - 2*u**2 + 5 - 1 + 2.
(u - 2)*(u - 1)*(u + 1)
Let k(z) = z**3 - 17*z**2 - 17*z - 18. Let l be k(18). Let i be l + (-3)/90*-8*3. Factor -192/5*q - 64/5 - 128/5*q**3 - 36/5*q**4 - 224/5*q**2 - i*q**5.
-4*(q + 1)*(q + 2)**4/5
Let w(o) be the first derivative of 2*o**5/5 - 99*o**4/2 + 5366*o**3/3 - 11421*o**2 + 17672*o + 1514. Factor w(m).
2*(m - 47)**2*(m - 4)*(m - 1)
Let c(s) be the second derivative of 1/15*s**6 + 1/5*s**5 + 4*s**2 - 5 - 1/2*s**4 + 12*s - 4/3*s**3. Suppose c(o) = 0. What is o?
-2, 1
Let t(u) be the third derivative of u**5/450 + 49*u**4/10 - 883*u**3/45 - 2732*u**2. Suppose t(p) = 0. Calculate p.
-883, 1
Let j be 6/(-21)*(-518)/(-30) - 25/(-5). Let a(v) be the first derivative of -1/30*v**4 - 5 + 0*v - 4/45*v**3 - j*v**2. Find z, given that a(z) = 0.
-1, 0
Let d be 42/(-9)*-21 - (3 + -6). Suppose -4*w + d = 5*g, -2*w - 3*w = -g - 119. Factor -2*c - 26*c**2 + w*c**2 - 4*c.
-2*c*(c + 3)
Let q(l) = l**2 + l + 1. Let p(o) = -10*o**2 - 6*o**3 - 8*o - 51*o**4 + 50*o**4 + 8 - 9. Let n(f) = -3*p(f) + 6*q(f). Factor n(y).
3*(y + 1)**3*(y + 3)
Find l such that 43*l**2 - 152/3*l - 25/3*l**4 - 112/3 + 160/3*l**3 = 0.
-4/5, 1, 7
Let z(u) = -u**4 + u**3 + 2*u - 3. Let i(a) = -3*a**4 + 9*a**3 - 30*a**2 + 54. Suppose -2*q - 88 = -86. Let c(d) = q*i(d) + 6*z(d). Factor c(v).
-3*(v - 2)**2*(v + 2)*(v + 3)
Determine v so that 0 - 116*v**2 - 3/2*v**5 - 38*v - 221/2*v**3 - 34*v**4 = 0.
-19, -2, -1, -2/3, 0
Let d(h) = -34*h**2 - 172*h - 159. Let u(l) = -79*l**2 - 346*l - 316. Let b(f) = 7*d(f) - 3*u(f). Factor b(i).
-(i + 1)*(i + 165)
Factor -1730*d**3 - 6*d**4 - 249*d**3 + 485*d**3 + 9*d**4.
3*d**3*(d - 498)
Let y = 99560 - 99555. Suppose 189/8*m - 9/8*m**y + 105/4*m**2 - 3*m**4 + 15/2*m**3 + 27/4 = 0. Calculate m.
-3, -1, -2/3, 3
Let p(k) = -16*k**3 + 24*k**2 - 51*k - 58. Let x(m) = 3*m**3 - 5*m**2 + 10*m + 12. Let z(q) = 6*p(q) + 33*x(q). Factor z(y).
3*(y - 4)**2*(y + 1)
L