 3*q + 0*q**3 + 6*q**3 - 9*q**s + 3*q**4.
3*q*(q - 1)**2*(q + 1)
Let p(a) = -53*a**2 - 984*a + 121037. Let k(c) = -21*c**2 - 492*c + 60518. Let r(g) = 5*k(g) - 2*p(g). Determine q, given that r(q) = 0.
246
Let a be (32 - 483/14)*-2. Find j such that 21/8*j - 3/4*j**2 + 3/2 - 3*j**3 - 3/4*j**4 + 3/8*j**a = 0.
-1, 1, 4
Factor -2/9*f**4 - 400/9*f + 50/9*f**2 + 0 + 16/9*f**3.
-2*f*(f - 8)*(f - 5)*(f + 5)/9
Let m = 1827/2 + -909. Suppose 0 = -19*l + 34*l - 60. Let -u**2 + 9/2*u**3 - 1 + 2*u**l - m*u = 0. Calculate u.
-2, -1, -1/4, 1
Let t(g) = 8*g**2 + 325*g + 668. Let n(y) = 3*y**2 + 162*y + 332. Let q(b) = 5*n(b) - 2*t(b). Factor q(v).
-(v - 162)*(v + 2)
Suppose -93 - 19/2*a**2 - 229/4*a - 1/4*a**3 = 0. Calculate a.
-31, -4, -3
Let u(z) = 6*z + 47. Let j be u(-5). Let x(g) = g**3 - 14*g**2 - 52*g + 19. Let o be x(j). Find w such that 0 + 2/5*w**o - 2/5*w = 0.
0, 1
Let c(z) be the first derivative of z**5/5 - 5*z**4/4 - 12*z**3 - 6550. Suppose c(q) = 0. What is q?
-4, 0, 9
Let b = 48584 + -48582. Factor 16/19*a - 30/19 - 2/19*a**b.
-2*(a - 5)*(a - 3)/19
Let f be -3 + -3 - -73 - (2 - 1). Let m be 34/f - (-24)/(-132). Solve -m + 5/6*u - 1/2*u**2 = 0.
2/3, 1
Suppose 19*k - 23*k = -248. Let i = 64 - k. Factor -17*m**2 + 30*m + 29*m**i - 7*m**2.
5*m*(m + 6)
Let p = -4720 - -4720. Let n(x) be the first derivative of p*x**4 + 1/39*x**6 - 20/39*x**3 - 47 + 8/65*x**5 - 1/13*x**2 + 12/13*x. Let n(c) = 0. What is c?
-3, -2, -1, 1
Let d(i) be the third derivative of i**6/660 - 16*i**5/165 + 52*i**4/33 - 128*i**3/11 - 12*i**2 + 37. Factor d(m).
2*(m - 24)*(m - 4)**2/11
Let z(a) be the third derivative of 0 + 0*a - 65/24*a**4 + 25*a**3 - 1/12*a**5 - 161*a**2. Factor z(r).
-5*(r - 2)*(r + 15)
Factor 1/4*w**2 + 549/2*w + 301401/4.
(w + 549)**2/4
Let i(d) be the first derivative of 7*d**6/3 - 74*d**5/5 - 473*d**4/2 - 706*d**3 - 414*d**2 + 432*d - 589. Let i(m) = 0. Calculate m.
-3, -1, 2/7, 12
Suppose 0 = 29*o - 31*o + 6. Suppose -6*w**o + 2*w**4 + 30*w**3 - 30*w**3 = 0. Calculate w.
0, 3
Factor 622/5*n + 96721/5 + 1/5*n**2.
(n + 311)**2/5
Let t = 8 - -4. Suppose -t*a + 649 = 613. Factor 8/5*b**2 + 0*b + 0 + 2/5*b**a.
2*b**2*(b + 4)/5
Let f be 2 + 302 + (-4 - -2). Find p, given that -p**3 - f*p - 3*p**4 - 26*p**3 - 42*p**2 - 299*p + 601*p = 0.
-7, -2, 0
Let i(y) be the second derivative of -9/140*y**5 - 3/7*y**2 + 0 - 8*y - 19/42*y**3 + 17/42*y**4. Suppose i(o) = 0. Calculate o.
-2/9, 1, 3
Factor -8*j**2 - 336 - 2*j**3 - 22*j**2 - 7157*j + 7393*j.
-2*(j - 4)*(j - 2)*(j + 21)
Let r(z) be the third derivative of z**7/105 - 802*z**6/15 + 643204*z**5/5 - 515849608*z**4/3 + 413711385616*z**3/3 - 47*z**2. Solve r(v) = 0.
802
Let q(h) be the third derivative of h**6/40 + 17*h**5/20 - 245*h**4/8 + 675*h**3/2 - 431*h**2. Suppose q(j) = 0. Calculate j.
-27, 5
Solve 7351*q**4 - 3659*q**4 + 9*q**3 - 16 + 4*q**2 - 3680*q**4 - 8*q**3 + 24*q - 23*q**3 - 2*q**5 = 0 for q.
-1, 1, 2
Let j(t) be the first derivative of -5/24*t**4 - 188 - 85/12*t**2 - 25/3*t - 20/9*t**3. Determine h, given that j(h) = 0.
-5, -2, -1
Let g(n) be the third derivative of n**7/840 - 53*n**6/480 + 103*n**5/40 + 70*n**4/3 + 196*n**3/3 + 801*n**2 + 4*n. Factor g(v).
(v - 28)**2*(v + 1)*(v + 2)/4
Suppose 5*n = 4*k - 39 - 360, -3*k + 3*n + 297 = 0. Factor k*r - 112 + 5*r**2 - 4*r**3 - 6*r**2 - 11*r**2.
-4*(r - 2)**2*(r + 7)
Let u = 72595/99 + -6593/9. Factor u*p**3 + 8/11*p + 2/11*p**4 + 12/11*p**2 + 2/11.
2*(p + 1)**4/11
Let b(y) be the third derivative of y**6/144 - 29*y**5/48 - 12*y**3 + 19*y**2 - y. Let d(f) be the first derivative of b(f). Factor d(m).
5*m*(m - 29)/2
Let z(j) be the first derivative of -3*j**4/20 - 16*j**3 + 246*j**2/5 - 1299. Let z(k) = 0. Calculate k.
-82, 0, 2
Let t(x) = -x**4 - x**3 - x**2. Let p = 35 + -28. Suppose -4 = p*k - 6*k. Let f(i) = 3*i**4 + 7*i**3 + 3*i**2 - 3*i + 2. Let o(w) = k*t(w) - f(w). Factor o(g).
(g - 2)*(g - 1)**2*(g + 1)
Let p(r) be the first derivative of 7*r**4/8 + 19*r**3/6 - 59*r**2/4 + 33*r/2 - 1537. Let p(d) = 0. Calculate d.
-33/7, 1
Find a such that 74*a**4 - 280*a**3 - 12*a**2 - 20*a**4 + 560 + 832*a - 15*a**4 - 35*a**4 = 0.
-1, 2, 70
Find x, given that -1200 + 2412*x**3 + x + 2670*x - 4566*x**2 + 2289*x - 220*x**4 + 20*x**5 - 168*x**4 - 1238*x**2 = 0.
2/5, 1, 3, 5, 10
Suppose 0*x + 6*x + 12 = 0. Let h(z) = 0 - 5 - 5 + 9. Let n(b) = 2*b**3 - 6*b - 2. Let g(k) = x*n(k) - 4*h(k). Factor g(u).
-4*(u - 2)*(u + 1)**2
Suppose -3*x = 3*k + 3, 9*k - 5 = -3*x + 10*k. Suppose -v = -85*a + 84*a + x, v + a = 9. Factor -1/3*r**v + 2/3*r + 1/3*r**2 - 2/3*r**3 + 0.
-r*(r - 1)*(r + 1)*(r + 2)/3
Factor -1/4*h**3 + 15*h + h**2 + 0.
-h*(h - 10)*(h + 6)/4
Let y(q) be the second derivative of q**4/12 - 717*q**3 + 4626801*q**2/2 - 6010*q. Solve y(j) = 0.
2151
Let c be (-88)/24*888/(-1628). Find j such that -4/3*j**c - 16 + 32/3*j = 0.
2, 6
Suppose 7*j - 12*j + 15 = 0. Solve -4*x**4 - 617 - 8*x - 3*x**3 + 605 + 16*x**2 + 11*x**j = 0 for x.
-1, 1, 3
Let x(g) be the second derivative of g**5/35 + g**4/21 - 4*g**3/21 + 1960*g. Determine w so that x(w) = 0.
-2, 0, 1
Suppose -3*r = 3*t - 0*r + 39, -5*r = -2*t - 12. Let h be 75/2 - t/22. Determine u, given that 2*u**5 + 3*u**5 - 5*u**3 + 10*u**2 - h*u**4 + 28*u**4 = 0.
-1, 0, 1, 2
Suppose -o - 2*b + 180 + 149 = 0, 1381 = 4*o - 5*b. Factor o*l**2 - l**3 - 26*l - l - 388*l**2 - 21*l.
-l*(l + 1)*(l + 48)
Let s(t) = 7*t**2 + 1209*t + 8540. Let h(x) = 2*x**2 + 302*x + 2136. Let v(i) = -9*h(i) + 2*s(i). Factor v(z).
-4*(z + 8)*(z + 67)
Let j(n) = 5*n**3 - 154*n**2 - 747*n - 640. Let u(p) = 6*p**3 - 156*p**2 - 746*p - 649. Let q(a) = -5*j(a) + 4*u(a). Find s such that q(s) = 0.
-4, -1, 151
Suppose -5*b = -5*l + 28 + 52, 0 = -3*b + 2*l - 50. Let k be 1394/1071 + 8/b. Suppose -k*i**2 + 0 - 8/7*i**3 - 2/7*i**4 + 0*i = 0. Calculate i.
-3, -1, 0
Solve 60*r**4 - 14040*r - 1191*r**3 - 25*r**4 + 2084 + 201*r**3 + 1296 + 8015*r**2 = 0 for r.
2/7, 2, 13
Suppose 37*s - 41*s + 48 = 0. Let m(t) = t**2 + t - 1. Let z(u) = 8*u**2 + 20*u. Let d(q) = -q - 8. Let j be d(-7). Let a(g) = j*z(g) + s*m(g). Factor a(b).
4*(b - 3)*(b + 1)
Let f(g) be the third derivative of -g**5/15 - 359*g**4/6 - 716*g**3/3 - 175*g**2 - 7*g. Find z, given that f(z) = 0.
-358, -1
Factor -1716/5*x - 4/5*x**2 + 0.
-4*x*(x + 429)/5
Let o(b) be the first derivative of -3*b**5 - 245*b**4/4 + 440*b**3/3 - 90*b**2 - 752. Determine v, given that o(v) = 0.
-18, 0, 2/3, 1
Let w(x) be the first derivative of 0*x**3 - 2/45*x**5 + 0*x**2 - 116 + 0*x**4 + 0*x. What is m in w(m) = 0?
0
Let q(p) be the second derivative of -3/4*p**2 - 1/120*p**6 + 1/16*p**4 - p + 3/80*p**5 - 64 - 7/24*p**3. Let q(l) = 0. Calculate l.
-1, 2, 3
Let g(n) be the third derivative of 25/2*n**4 - 1/2*n**5 + 1/120*n**6 + 0*n - 20*n**2 - 500/3*n**3 + 0. Factor g(c).
(c - 10)**3
Let r(y) be the first derivative of -476*y**3 + 6*y**2 + 56 + 1426*y**3 - 477*y**3 - 474*y**3. Factor r(p).
-3*p*(p - 4)
Let m = 32959 - 593255/18. Let l(w) be the second derivative of m*w**3 + 2/3*w**2 + 1/18*w**4 + 5 - 2*w - 1/60*w**5. Determine g, given that l(g) = 0.
-1, 4
Suppose 8*q = -6*q. Suppose q = 49*l - 101*l. Factor -1/3*c**3 + 1/3*c + l*c**2 + 0.
-c*(c - 1)*(c + 1)/3
Let w(k) = 4 + 7*k - 5 + 0 - 8*k. Let v(f) = -3*f**2 + 36*f - 13. Let l be 4 + (-20)/4 + 3. Let m(y) = l*w(y) - 2*v(y). Suppose m(q) = 0. Calculate q.
1/3, 12
Suppose 0 = 5*u - m + 16, -3*m = -4*u - 0*m - 4. Let f be (-5)/(-10)*3/((-3)/u). Solve -8*o + 8*o**f - 4*o**3 - o**2 + 5*o**2 = 0 for o.
0, 1, 2
Let g(m) = 194*m + 1358. Let l be g(-7). Let s(x) be the third derivative of 0*x + 6860/3*x**3 - 245/2*x**4 - 1/24*x**6 + 7/2*x**5 + l - 22*x**2. Factor s(w).
-5*(w - 14)**3
Let g(s) = 23*s**3 + 131*s**2 - 1011*s + 1772. Let w(f) = 8*f**3 + 44*f**2 - 336*f + 592. Let x(j) = -4*g(j) + 11*w(j). Solve x(r) = 0.
-16, 3
Suppose g = 5*k + 1, 4*k + 9407*g = 9402*g + 63. Factor 12/13 + 10/13*a + 2/13*a**k.
2*(a + 2)*(a + 3)/13
Let r = 1124 - 1100. Suppose 8*t - p = 12*t - r, 4*t = 5*p. Factor 3/2*v - 1/2*v**2 + t.
-(v - 5)*(v + 2)/2
Let a(g) be the third derivative of -g**6/60 + 77*g**5/30 - 442*g**4/3 + 3468*g**3 - 4188*g**2. Determine l, given that a(l) = 0.
9, 34
Let x(j) = -j**3 + j**2 + j. Let u be x(0). Suppose u = -5*c + y, -y = -5*c + 4*y. Factor -4*d + 4*d**3 + c*d**