et a(u) = 3*f(u) + 4*j(u). Solve a(w) = 0 for w.
-1501
Suppose 573*l - 1607*l = -565*l - 515*l + 184. Determine r, given that -22/7*r + 2/7*r**5 + 6/7 - 2/7*r**4 - 12/7*r**3 + l*r**2 = 0.
-3, 1
Let t(w) be the third derivative of 1/135*w**5 + 1/108*w**4 + 1/540*w**6 + 0 + 0*w**3 + 24*w + w**2. Factor t(s).
2*s*(s + 1)**2/9
Let v(o) = 122*o**2 - 672*o - 586. Let k(p) = -14*p**2 + 75*p + 65. Let f(q) = 52*k(q) + 6*v(q). Suppose f(r) = 0. What is r?
-1, 34
Let p be 48/(-792) + (-136)/(-66) + -9 + 7. What is h in 2/5*h**5 - 118/5*h**4 + p + 0*h + 360*h**2 + 336*h**3 = 0?
-1, 0, 30
Let a(f) = 2*f**3 - 17*f**2 - 20*f - 13. Let z be a(9). Let s be (-10)/40 + (-4 - 524/z). Factor 0 + 0*t**2 + 0*t + s*t**3.
3*t**3/7
Let l(b) be the first derivative of -b**4/12 - 2*b**3/3 + 91*b**2/6 + 46. Factor l(u).
-u*(u - 7)*(u + 13)/3
Solve 1/10*x**2 + 2*x + 42/5 = 0.
-14, -6
Let v(c) be the third derivative of 0*c - 1/180*c**5 + 138*c**2 + 0 - 2*c**3 - 37/72*c**4. Determine l, given that v(l) = 0.
-36, -1
Let u(g) = 4*g - 35. Let a be u(10). What is m in 8 - a*m**2 - 3 + 0 = 0?
-1, 1
Let d(w) be the first derivative of -3*w**5/35 + 87*w**4/28 - 285*w**3/7 + 3525*w**2/14 - 750*w - 430. Factor d(y).
-3*(y - 14)*(y - 5)**3/7
Suppose 2*y - 4 = -0*y. Factor r - 26*r**2 + 25*r**y + 3*r.
-r*(r - 4)
Let p(j) be the first derivative of 3*j**6/8 + 3*j**5/2 + 9*j**4/4 + 3*j**3/2 + 3*j**2/8 + 453. Factor p(z).
3*z*(z + 1)**3*(3*z + 1)/4
Let p = -65453/2 + 720013/22. Solve 0 - 1/11*j**4 + p*j**3 + 0*j + 0*j**2 = 0 for j.
0, 15
Suppose -6239*d + 34029 = 5104*d. Solve -35/3*k**d + 80/3 + 220/3*k**2 - 340/3*k = 0 for k.
2/7, 2, 4
Let r(b) be the first derivative of b**3 + 2121*b**2/2 - 4254*b - 6614. Solve r(v) = 0 for v.
-709, 2
Let q(x) be the second derivative of x**6/4 - 155*x**5/8 - 275*x**4/24 + 775*x**3/12 + 65*x**2 - 2948*x. Determine p so that q(p) = 0.
-1, -1/3, 1, 52
Solve -18602/5*u**3 + 6188/5*u**4 - 360*u + 2184*u**2 - 578/5*u**5 + 0 = 0 for u.
0, 6/17, 5
Let b(c) be the first derivative of -7*c**4 - 8*c**2 + 113 - 44/3*c**3 + 0*c. Let b(n) = 0. What is n?
-1, -4/7, 0
Let m(z) = 5*z**2 + 20*z + 30. Let b(l) = 2. Let p(g) = 9*g + 42. Let a be p(-3). Let i(w) = a*b(w) - m(w). Factor i(h).
-5*h*(h + 4)
Let r(y) = 7 + 28 - 80 - 3 + 57*y + 14 + 5*y**2. Let g be r(-12). Determine m, given that 9/5*m**4 + 9/5*m**3 + 0 + 3/5*m**g + 0*m + 3/5*m**5 = 0.
-1, 0
Determine u, given that -184*u**2 + 504*u + 71*u**2 + 71*u**2 + 44*u**2 - 673 + 167 = 0.
-253, 1
Let z be 872/30 - ((-6)/(-16) + (-731)/1032). Let h = 752/5 + -148. Factor h - 42*f**3 + 12*f + z*f**4 - 9/5*f**2.
3*(f - 1)**2*(7*f + 2)**2/5
Let r(t) be the third derivative of t**5/390 + 544*t**4/39 + 1183744*t**3/39 - 2*t**2 + 109*t + 1. Find a, given that r(a) = 0.
-1088
Let w = -386865 + 386865. Find o, given that -243/2*o + w - 27*o**2 - 3/2*o**3 = 0.
-9, 0
Let s(q) be the second derivative of 0 - 5/42*q**4 + 2/7*q**3 + 0*q**2 + 1/70*q**5 - 50*q. Solve s(c) = 0 for c.
0, 2, 3
Let m(d) = 23*d**3 + 60*d**2 + 214*d + 147. Let t(y) = -7*y**3 + 3. Let q(i) = m(i) + 3*t(i). Factor q(p).
2*(p + 1)*(p + 3)*(p + 26)
What is z in 51*z**3 - 6/7*z**2 + 0*z + 0 = 0?
0, 2/119
Let g be (-4)/11*-1*(-152)/(-24). Let w = g - 7/11. Factor 0 + w*l - 25/3*l**3 - 20/3*l**2.
-5*l*(l + 1)*(5*l - 1)/3
Solve 0*v + 0 + 4*v**3 + 1/8*v**4 - 168*v**2 = 0.
-56, 0, 24
Let r(m) be the second derivative of -2*m**7/3 - 326*m**6/15 - 257*m**5 - 1315*m**4 - 2952*m**3 - 1944*m**2 + 114*m - 1. Find z such that r(z) = 0.
-9, -3, -2, -2/7
Let p = 1633/1836 - 1/1836. Let u(v) be the first derivative of 8 + p*v**3 + 0*v - 2/15*v**5 - 8/3*v**2 + 1/3*v**4. Determine c, given that u(c) = 0.
-2, 0, 2
Let y = -236 + 239. Find o such that 36*o**y - 14*o - 78*o - 201 + 225 - 80*o**2 = 0.
-1, 2/9, 3
Let -8/9*x**3 + 4/9*x + 4/9*x**5 - 76/9 - 76/9*x**4 + 152/9*x**2 = 0. Calculate x.
-1, 1, 19
Let i be 177/(-936) + (888/(-39) - -23). Let a(f) be the third derivative of 0 - 1/30*f**5 + 0*f - 25*f**2 + i*f**4 - 1/120*f**6 + 1/3*f**3. Factor a(d).
-(d - 1)*(d + 1)*(d + 2)
Let h(n) = n**2 + 23*n - 199. Let v be h(-30). Let z(f) be the third derivative of 0*f + 1/60*f**6 + 1/30*f**5 + 0 - 1/12*f**4 - 1/3*f**3 - v*f**2. Factor z(x).
2*(x - 1)*(x + 1)**2
Factor 2/7*r**3 - 12/7*r**2 - 32/7*r + 0.
2*r*(r - 8)*(r + 2)/7
Let v(w) be the third derivative of -w**6/600 - 17*w**5/300 + 1355*w**2. Determine p, given that v(p) = 0.
-17, 0
Let c(b) = 8*b**2 + 15*b + 13. Suppose 31 = -6*m + 1. Let k(u) = -9*u**2 - 15*u - 12. Let n(w) = m*k(w) - 6*c(w). Factor n(q).
-3*(q + 2)*(q + 3)
Let u(w) be the third derivative of -w**5/180 - 2525*w**4/36 - 6375625*w**3/18 - w**2 - 5949*w. Determine r so that u(r) = 0.
-2525
Let n be (163592/16)/13 - (-3)/(-6). Let p = 4717/6 - n. Factor 11/6*c**3 + 9 + p*c**4 + 15/2*c**2 + 27/2*c.
(c + 2)*(c + 3)**3/6
Let r = 3349 - 3345. Suppose -4*h + 18 = 5*p, p = 2*h - 5*h - 3. Factor 2/9*o**r + p*o**2 - 6*o - 2*o**3 + 0.
2*o*(o - 3)**3/9
Let r be 354/12 + (-46 - -17). Determine j so that r*j**3 - 2*j**4 + 7*j**2 - 10*j + 4 + 1/2*j**5 = 0.
-2, 1, 2
Let g(q) be the third derivative of -q**7/420 - q**6/80 + q**5/120 + q**4/16 - 408*q**2 + q. Solve g(k) = 0.
-3, -1, 0, 1
Let w = 623313 + -623305. Let -16/3*p - 10/3*p**2 + 2/3*p**3 + w = 0. What is p?
-2, 1, 6
Let z be 1*(-5 - -5)/16. Let 0 - 4*i**4 + 4/3*i**3 + z*i + 0*i**2 + 3*i**5 = 0. What is i?
0, 2/3
Let z(r) be the first derivative of 2*r**5/5 - 3*r**4/2 - 32*r**3/3 + 48*r**2 + 9058. Let z(i) = 0. Calculate i.
-4, 0, 3, 4
Let c = 59 + -60. Let f(o) = -7*o**5 + 4*o**4 + 6*o**3 - 6. Let i(k) = k**5 - k**4 - k**3 + 1. Let m(h) = c*f(h) - 6*i(h). Suppose m(g) = 0. Calculate g.
-2, 0
Let h be (-25)/2100*(-17 + 15). Let m(q) be the second derivative of 0 - 12*q - 1/7*q**3 - h*q**4 - 2/7*q**2. Factor m(g).
-2*(g + 1)*(g + 2)/7
Let b be 2/(-3)*63/35*50/(-30). Factor -4/7*a**b - 2/7*a**5 - 4/7*a**3 + 6/7*a + 6/7*a**4 - 2/7.
-2*(a - 1)**4*(a + 1)/7
Let v = 509 + -506. Suppose -v*l - 428 = -434. Solve 12*m - 3/5 - 375*m**4 - 90*m**l + 300*m**3 = 0 for m.
1/5
Let q = -740/101 - -10564/1111. Factor -8/11*w**2 - q*w - 18/11.
-2*(2*w + 3)**2/11
Let c(k) be the first derivative of -7*k**4/12 - 2*k**3 + 2*k**2 - 81*k + 11. Let w(s) be the first derivative of c(s). Find a, given that w(a) = 0.
-2, 2/7
Let h be 3/120*10056/1257. Let -h*o**2 + 21/5*o - 4 = 0. Calculate o.
1, 20
Solve -36*p**5 + 120*p**4 - 85*p**2 + 112*p - 46*p**2 - 32 + 43*p**2 - 76*p**3 = 0.
-1, 2/3, 1, 2
Let a = -652211 - -652214. Factor 1922/3*z + 0 - 124/3*z**2 + 2/3*z**a.
2*z*(z - 31)**2/3
Factor 10/3*k**2 + 7/3*k**3 - 1/3*k - 4/3.
(k + 1)**2*(7*k - 4)/3
Let y(p) = 96*p**2 - 266*p + 2. Let m(n) = -49*n**2 - n - 1. Let v(f) = 2*m(f) + y(f). Solve v(h) = 0 for h.
-134, 0
Let b be ((-6)/7 - (-42)/(-294)) + 3. Determine m so that -2/3*m**3 + 0 - 4/3*m**2 + b*m = 0.
-3, 0, 1
Let a = 542 - 385. Factor 50*l**3 + 5*l**5 + a*l - 157*l + 55*l**4.
5*l**3*(l + 1)*(l + 10)
Let r(g) = -4*g - 166. Let k be r(-40). Let n be k*(24/234)/(-4). Find i such that n*i**3 + 0 - 2/13*i**5 + 2/13*i**4 - 2/13*i**2 + 0*i = 0.
-1, 0, 1
Factor -2*r**2 - 229*r + 68*r + 97*r + 370.
-2*(r - 5)*(r + 37)
Let b(t) be the second derivative of t**4/42 + t**3/3 - 44*t**2/7 - 2*t - 556. Factor b(s).
2*(s - 4)*(s + 11)/7
Let y(r) = -9*r**3 + 3*r**2 + 9*r - 3. Let u(h) = -h**4 + 8*h**3 - 2*h**2 - 8*h + 3. Let t be 6/(-54) - 19/(-9). Let n(g) = t*y(g) + 3*u(g). Factor n(m).
-3*(m - 1)**3*(m + 1)
Find q, given that 3552*q + 1481*q**2 + 345291*q + q**3 + 565*q**2 + 6*q**3 - 4*q**3 = 0.
-341, 0
Let y(j) = -j**2 + 22*j - 38. Suppose -a - 2 = -2*v, 4*a - 2*a - 4 = 0. Let o be y(v). Factor 1/3*w**o - 7/6 + 13/6*w.
(w + 7)*(2*w - 1)/6
Factor -121*x**3 + 852*x**2 - 279*x - 64*x + 19*x**3 - 1203 - 1122 - 1027*x + x**4.
(x - 93)*(x - 5)**2*(x + 1)
Let w = -102 + 104. Factor 16*m**4 + 26*m**w + 2*m**5 + 22*m**2 + 34*m + 8*m**2 + 13 - 5 + 44*m**3.
2*(m + 1)**4*(m + 4)
Factor -1/5*g**3 - 109/5*g - 112/5*g**2 + 222/5.
-(g - 1)*(g + 2)*(g + 111)/5
Let y(n) be the third derivative of 1723969*n**6/320 - 1734473*n**5/160 + 1315*n**4/8 - n**3 + 151*n**2 - 38*n. Find h such that y(h) = 0.
4/1313, 1
Suppose -2*d - c = -52, -3*d - d + 116 = 5*c. Factor -332 + 3*b**2 + d*b + 166 + 166.
3*b*(b + 8)
Suppose -8 = h - 0*