7*s. Solve m(c) = 0.
-8, 2/9, 1
Let w(v) = -v - 2. Let n(d) = -3*d**4 + 24*d**3 - 63*d**2 + 84*d + 12. Let j(g) = -n(g) - 18*w(g). Factor j(s).
3*(s - 4)*(s - 2)*(s - 1)**2
Let m = 473 - 270. Factor 198*j**2 - 402*j**2 + m*j**2 + j**3.
j**2*(j - 1)
Let 2133 - 1166 + 720*n + 5*n**3 + 3053 - 755*n**2 + 480 = 0. What is n?
-2, 3, 150
Factor 1/9*r**3 + 20/9 + r**2 + 8/3*r.
(r + 2)**2*(r + 5)/9
Determine l, given that -11/3*l**4 - 1/3*l - 1/3*l**5 + 22/3*l**2 - 11/3 + 2/3*l**3 = 0.
-11, -1, 1
Let b be 2 + 22/(-55) + (-12)/70. Let w = 2299 - 2295. Find h such that 24/7*h**3 - 62/7*h**2 + b*h**w + 16/7 + 12/7*h = 0.
-4, -2/5, 1
Factor -185*k**3 - 707*k**2 + 617*k**2 + 224*k**4 + 51*k**4.
5*k**2*(k - 1)*(55*k + 18)
Find v, given that -171*v**3 + 0*v**4 + 765*v**3 - 3*v**4 - 39204*v**2 + 377618*v + 64251*v + 420619*v = 0.
0, 66
Solve 1/9*u**3 - 530/9*u + 263/9*u**2 + 0 = 0 for u.
-265, 0, 2
Let y = 602803/7 + -86113. Solve 60/7*i**3 + 58/7*i**2 + y*i + 2*i**4 + 0 = 0 for i.
-3, -1, -2/7, 0
Let x(p) = 44 + 4*p + 42 + 40 - 134. Let o be x(2). Factor 2/3*i**3 + 0*i - 8/3*i**2 + o.
2*i**2*(i - 4)/3
Let -5547/2*k - 43*k**2 + 0 - 1/6*k**3 = 0. What is k?
-129, 0
Let a(g) = -3*g + 110. Let j be a(39). Let c be (-13)/(910/20)*j. Suppose 14/13*p**c - 22/13*p + 8/13 = 0. What is p?
4/7, 1
Let y(z) = 2*z**3 + z**2 - 1. Let f(c) = 11*c**3 + 26*c**2 + 32*c + 9. Let r be -6*(-5)/10 - 7 - -1. Let w(o) = r*y(o) + f(o). Find m, given that w(m) = 0.
-2, -3/5
Let r(c) = -c**3 + 290*c**2 - 1698*c - 31. Let z be r(6). Find a such that -2/15*a**z + 8/3*a - 16/5*a**2 - 2/15*a**3 + 0 + 4/5*a**4 = 0.
-2, 0, 1, 2, 5
Suppose -10*t - 7 = -87. Let q(o) be the third derivative of 0*o + 1/168*o**t + 1/12*o**4 + 0*o**3 + 0*o**5 - 9*o**2 + 0*o**7 + 0 - 1/30*o**6. Factor q(x).
2*x*(x - 1)**2*(x + 1)**2
Let v(f) be the second derivative of -f**8/2688 - f**7/630 - f**6/480 + 5*f**4/4 + 2*f + 2. Let k(z) be the third derivative of v(z). Find u such that k(u) = 0.
-1, -3/5, 0
Let d(u) be the third derivative of -u**6/420 + 19*u**5/210 + 22*u**4/21 + 92*u**3/21 - u**2 + 37. Factor d(f).
-2*(f - 23)*(f + 2)**2/7
Suppose -53*l = -27*l + 37*l. Find z, given that 39/5*z**2 + l + 18/5*z + 24/5*z**3 + 3/5*z**4 = 0.
-6, -1, 0
Let j be 37 + (-426)/12 - (-13)/(-10). Factor 2/5*b**2 + 0 - 2/5*b**4 - 1/5*b + j*b**5 + 0*b**3.
b*(b - 1)**3*(b + 1)/5
Let q = 180895/14462 - 60/7231. Find a such that -q*a**2 - 60 + 155*a = 0.
2/5, 12
Let v(m) be the second derivative of 19*m**5/10 + m**4/4 - 19*m**3/3 - 3*m**2/2 - 12*m + 26. Factor v(z).
(z - 1)*(z + 1)*(38*z + 3)
Let w(f) be the third derivative of 0*f**5 - 1/20*f**6 + 2*f**2 + 0*f**3 - 20 - 1/112*f**8 + 0*f**4 - 3/70*f**7 + 0*f. Factor w(r).
-3*r**3*(r + 1)*(r + 2)
Let v(r) = -r**3 + 7*r**2 - r + 11. Let u be v(7). Suppose 3*i - i = 46. Factor -2*m**2 + 5*m**2 + i*m**3 - 3*m**u - 44*m**3 + 21*m.
-3*m*(m - 1)*(m + 1)*(m + 7)
What is b in -54/11*b**2 - 48 + 380/11*b - 2/11*b**3 = 0?
-33, 2, 4
Let s(l) be the third derivative of l**5/60 + 112*l**2. Let v(w) = 6*w**2 - 72*w + 432. Let z(g) = 3*s(g) - v(g). Factor z(n).
-3*(n - 12)**2
Let a = -21885 - -21910. Let d(p) be the second derivative of 0 + 0*p**2 - a*p + 1/18*p**6 - 1/3*p**5 + 0*p**3 - 25/36*p**4. Factor d(c).
5*c**2*(c - 5)*(c + 1)/3
Let q(j) be the first derivative of 2*j**2 + 4/3*j**3 + 0*j - 7. Find b, given that q(b) = 0.
-1, 0
Let 98/3*z + 2/9*z**4 + 0 + 398/9*z**2 + 106/9*z**3 = 0. Calculate z.
-49, -3, -1, 0
Let c be (-2 - -9) + 0 - (4275/(-325) - -20). Factor 0 - c*u**5 + 0*u**4 + 0*u**2 + 0*u + 2/13*u**3.
-2*u**3*(u - 1)*(u + 1)/13
Suppose -93*i - 2390 = -98*i. Let p = i + -476. Suppose 3/2*j**2 - 1/2*j**4 - p + 2*j - j**3 = 0. Calculate j.
-2, 1
Let t(c) = -44*c**3 + 16*c**2 - 13*c + 66. Let k be t(-15). Factor 152361 - 3*g**3 + 2*g**2 + 3*g - k - 2*g**4.
-g*(g - 1)*(g + 1)*(2*g + 3)
Let r(y) be the third derivative of y**7/6300 - y**6/300 + 2*y**5/75 - 47*y**4/8 - y**2 - 65*y. Let g(p) be the second derivative of r(p). Factor g(i).
2*(i - 4)*(i - 2)/5
Let j(u) = 7*u**2 - 56*u - 12. Let o(q) = q**3 - 8*q**2 - 17*q - 26. Let i be o(10). Let g(h) = -22*h**2 + 170*h + 36. Let f(r) = i*g(r) + 11*j(r). Factor f(b).
-(b - 6)*(11*b + 2)
Let q = 834595/3 - 278197. Let 26/15*c**2 + 4/15*c**3 + 0 + q*c - 2/15*c**4 = 0. What is c?
-2, -1, 0, 5
Factor 0*m**2 + 3/4*m**3 + 0*m + 0*m**4 - 3/4*m**5 + 0.
-3*m**3*(m - 1)*(m + 1)/4
Factor -16/3*v - 1/6*v**4 - 6*v**2 - 2*v**3 + 0.
-v*(v + 2)**2*(v + 8)/6
Let s(u) be the third derivative of u**7/1890 - u**5/54 + u**3/6 + 5424*u**2. Suppose s(w) = 0. Calculate w.
-3, -1, 1, 3
Find t such that -48*t**4 - 14608*t - 17637 + 50*t**4 - 184*t**3 - 1723 + 4566*t**2 = 0.
-1, 5, 44
Let t be 0/((-9)/3)*489/(-978). Solve 1/3*d**3 - 13/3*d + t + 4*d**2 = 0 for d.
-13, 0, 1
Let i(k) be the third derivative of -k**8/504 + k**7/45 + k**6/30 - 5*k**5/9 + 59*k**4/36 - 7*k**3/3 - k**2 + 1985. Suppose i(l) = 0. Calculate l.
-3, 1, 7
Let l(d) = 10*d**2 + 75*d. Let y(h) = -51*h - 70*h**2 + 108*h**2 - 98*h - 56*h**2. Let m(p) = 5*l(p) + 3*y(p). Factor m(j).
-4*j*(j + 18)
Suppose q = -4*d - 21, q + q = -d - 14. Let p be 0*(-3 - (16/d)/2). Solve -7*g**4 + p*g**4 + 13*g**3 - 8 + 5*g**4 - 26*g**2 + 24*g - g**3 = 0 for g.
1, 2
Let i(u) be the second derivative of u**6/6 - u**5/4 - 5*u**4/3 + 10*u**3/3 + 129*u + 3. Factor i(p).
5*p*(p - 2)*(p - 1)*(p + 2)
Let q(h) be the first derivative of -4*h**5/5 + 70*h**4 - 356*h**3 + 396*h**2 - 1665. Factor q(c).
-4*c*(c - 66)*(c - 3)*(c - 1)
Let i(h) be the second derivative of h**7/6300 - 23*h**6/1800 + 11*h**5/150 + 65*h**4/12 + h + 25. Let j(a) be the third derivative of i(a). Factor j(r).
2*(r - 22)*(r - 1)/5
Let j(g) be the second derivative of g**5/360 - 11*g**4/72 + 121*g**3/36 + g**2/2 + 62*g. Let l(k) be the first derivative of j(k). Find r such that l(r) = 0.
11
Let t(q) = 3*q**4 - 109*q**3 + 240*q**2 + 32*q - 310. Let a(b) = -4*b**4 + 164*b**3 - 360*b**2 - 48*b + 464. Let y(c) = -5*a(c) - 8*t(c). Factor y(j).
-4*(j - 10)*(j - 2)**2*(j + 1)
Let m be (4/30*9)/(62/155). Let b(p) = -9*p**4 - p**3 + 8*p**2 - 3. Let w(h) = -80*h**4 - 8*h**3 + 72*h**2 - 28. Let o(c) = m*w(c) - 28*b(c). Factor o(s).
4*s**2*(s + 1)*(3*s - 2)
Factor -19266*a**2 + 16134*a**2 - 3*a**3 + 0*a**3 - 3129*a.
-3*a*(a + 1)*(a + 1043)
Let x = 712 + -709. Let 120*l - 31*l**3 - 4*l**4 - 39*l**x - 60*l**2 + 76 - 11*l**4 + 84 = 0. Calculate l.
-2, 4/3
Let o(i) be the second derivative of 3*i**5/100 - 3*i**4/5 + 16*i**3/5 - i - 219. Factor o(q).
3*q*(q - 8)*(q - 4)/5
Let s = 1669 - 14975/9. Let a = -47/18 + s. Solve -7/2*c + a*c**2 + 3/2 - 1/2*c**3 = 0.
1, 3
Let k(j) be the second derivative of -25*j**3/6 - 73*j**2/2 + 2*j - 8. Let w be k(-3). Solve -14/3*y + 4 + 2/3*y**w = 0.
1, 6
Factor -5*c**2 - 229 - 1068*c - 1837*c - 2671.
-5*(c + 1)*(c + 580)
Let n(z) be the third derivative of z**8/336 - z**7/21 + 11*z**6/60 - z**5/15 - 23*z**4/24 + 7*z**3/3 + 2*z**2 + 52. Determine q so that n(q) = 0.
-1, 1, 2, 7
Let -368/7*n**3 + 0 - 1070/7*n**2 - 2*n**4 - 276/7*n = 0. Calculate n.
-23, -3, -2/7, 0
Let c be ((-132)/2)/(((-213885)/246)/21). Let q = 4/679 + c. Solve -2*y**2 + 1/5*y**5 + 4*y**3 - 21/5*y + 18/5 - q*y**4 = 0 for y.
-1, 1, 2, 3
Let y(v) be the second derivative of 1/3*v**3 - 1/180*v**6 - 7/36*v**4 - 17*v + 1/18*v**5 + 10*v**2 + 0. Let h(r) be the first derivative of y(r). Factor h(q).
-2*(q - 3)*(q - 1)**2/3
Let q be ((-1701)/(-29960))/((-1533)/(-762) - 2). Let j = q + -3/428. Factor j*l + 2/5*l**2 + 72/5.
2*(l + 6)**2/5
Let j(k) be the second derivative of -k**5/10 - k**4/2 + 4*k**3/3 + 12*k + 136. Solve j(q) = 0 for q.
-4, 0, 1
Let 332*j - j**4 - 169*j**3 - 369*j**3 - 332*j - 72361*j**2 = 0. What is j?
-269, 0
Let h = 12147 - 242761/20. Let q = -41/5 + h. Factor q*t**2 - 3/4*t - 3/2.
3*(t - 2)*(t + 1)/4
Let n be 0 + 15/(-3) - -134. Let y = -125 + n. Solve 2*s**5 - 2*s**y - 29*s**3 - 4*s**4 + 33*s**3 = 0 for s.
0, 1, 2
Let -1/2*f**5 + 64*f - 3/2*f**4 + 30 + 17/2*f**3 + 87/2*f**2 = 0. What is f?
-3, -2, -1, 5
Let n(y) be the third derivative of 1/20*y**5 + 1/600*y**6 - y + 0*y**4 + 0*y**3 + 0 - 5*y**2. Factor n(w).
w**2*(w + 15)/5
Factor 2490*m + 3085*m**2 + 6*m**3 + 6*m**3 - 17*m**3 + 600*m.
-5*m*(m - 618)*(m + 1)
Let a = 36 - -20. Suppose -14 = 21*q - a. Suppose -1/2*