18879104*j**2 + 19*j - 163. Factor x(r).
3*(r - 1684)**4
Let y be ((-28)/(-20) + -1)/(10/(-1350)). Let l be ((-2)/6)/(14/y)*7. Suppose -3*q**2 - 1/4*q**3 + 0 - l*q = 0. What is q?
-6, 0
Suppose -8*t + 15/2*t**3 - 59*t**2 + 0 = 0. Calculate t.
-2/15, 0, 8
Let v(j) be the first derivative of 5/12*j**3 + 25/4*j - 14 - 15/4*j**2. What is m in v(m) = 0?
1, 5
Find h such that -h**3 - 4*h**3 - h**2 + 55*h**2 + 51*h**2 - 53*h - 47*h = 0.
0, 1, 20
Let a(v) be the third derivative of -1/420*v**5 + 57*v**2 - 1/84*v**4 + 1/420*v**6 + 1/1470*v**7 - 3*v + 0*v**3 + 0. Factor a(n).
n*(n - 1)*(n + 1)*(n + 2)/7
Let c(q) = -4*q**3 + 486*q**2 - 978*q - 10. Let a(h) = 19*h**3 - 1945*h**2 + 3913*h + 45. Let i(b) = 2*a(b) + 9*c(b). Factor i(n).
2*n*(n - 2)*(n + 244)
Let l(s) be the first derivative of 4*s**3/3 - 112*s**2 + 3362*s - 95. Let m(i) = -4*i + 1. Let v(g) = l(g) + 2*m(g). Let v(n) = 0. Calculate n.
29
Let s(x) be the first derivative of 0*x**2 + 1/200*x**5 + 0*x + 29/3*x**3 - 1/10*x**4 - 2 + 1/200*x**6. Let i(n) be the third derivative of s(n). Factor i(o).
3*(o - 1)*(3*o + 4)/5
Suppose 20*i + 1556*i = 166*i - 337*i. Factor i - 1/2*y**4 - 1/8*y**3 + 9/8*y + 9/2*y**2.
-y*(y - 3)*(y + 3)*(4*y + 1)/8
Suppose -13*w = -9*w + 4*b + 12, 0 = 7*w - 4*b - 12. Let d(z) be the first derivative of -8/3*z**3 + 10 - z**4 + 0*z + w*z**2. Factor d(g).
-4*g**2*(g + 2)
Suppose 41*i - 40*i = -56. Let q = -54 - i. Factor -13*y**q + 4*y**2 + 20*y - 18 + 13*y.
-3*(y - 3)*(3*y - 2)
Let f(j) = 5*j**2 + 187*j - 188. Let t be f(1). Let y(p) be the first derivative of p**2 + 14 + 0*p + 1/4*p**t + p**3. Factor y(x).
x*(x + 1)*(x + 2)
Let 1306/3*u**2 + 616/3*u**3 + 836/3*u + 6*u**4 + 128/3 = 0. Calculate u.
-32, -1, -2/9
Let v be (7 - 9) + 6 + 0. Determine a so that 9*a**2 - 14*a**2 + v - a**3 + 4*a**2 + 4*a = 0.
-2, -1, 2
Let q = -11938 - -11940. Let o = -7/11 - -32/33. What is c in c**q - 2/3 - 1/3*c**3 + 1/3*c - o*c**4 = 0?
-2, -1, 1
Let v(c) = -9*c**3 - 1676*c**2 - 2895*c - 1443. Let b(w) = 5*w**3 + 860*w**2 + 1447*w + 721. Let p(g) = 5*b(g) + 3*v(g). Let p(y) = 0. Calculate y.
-362, -1
Let d = -1459 - -1463. Let p(w) be the second derivative of 1/30*w**5 + 0 + 0*w**d - 1/189*w**7 - 2/135*w**6 + 18*w + 0*w**3 + 0*w**2. Solve p(r) = 0.
-3, 0, 1
Let b(y) be the third derivative of y**5/180 + 29*y**4/72 + 34*y**3/3 - 2437*y**2. Suppose b(u) = 0. What is u?
-17, -12
Suppose -4*i + 410 + 1266 = -3*k, -3*i + 2244 = -4*k. Let p = k + 567. Determine g so that 2/9*g**p + 8/3*g + 16/9 + 4/3*g**2 = 0.
-2
Let u(v) be the second derivative of -v**9/3024 - v**8/560 + v**6/90 - 31*v**3/6 - 10*v. Let p(c) be the second derivative of u(c). Factor p(s).
-s**2*(s - 1)*(s + 2)**2
Let d(k) = -k**3 - 8*k**2 + 50*k + 399. Let y be d(-7). Factor 2/5*o**3 - 4/5*o - 2/5*o**2 + y.
2*o*(o - 2)*(o + 1)/5
Let q be -6 + 5/((-25)/8)*(-825)/220. Let d(r) be the second derivative of 3/130*r**5 + q*r**2 - 1/195*r**6 - 2 + 0*r**4 - 4/39*r**3 - 3*r. Factor d(n).
-2*n*(n - 2)**2*(n + 1)/13
Let n = 432415/11577 - 69/3859. Suppose -7776 - 720*k**2 - 2/3*k**4 - n*k**3 - 5184*k = 0. What is k?
-18, -2
Let r(k) be the third derivative of 1/9*k**4 + 0 + 1/90*k**5 + 0*k + 4/9*k**3 - 8*k**2. Factor r(v).
2*(v + 2)**2/3
Let t(u) be the first derivative of -3*u**5/5 + 105*u**4/4 - 288*u**3 - 486*u**2 - 12076. Suppose t(c) = 0. Calculate c.
-1, 0, 18
Factor y**2 + 2231*y + 2960*y + 3401*y + 239856 + 18215760.
(y + 4296)**2
Let d(f) = 5*f**4 + 230*f**3 + 945*f**2 - 240*f - 950. Let a(t) = -2*t**4 - 77*t**3 - 315*t**2 + 80*t + 317. Let c(g) = -10*a(g) - 3*d(g). Solve c(z) = 0.
-8, -1, 1
Let y(g) be the second derivative of -g**5/210 + 3*g**4/14 - 26*g**3/63 + 393*g. Factor y(w).
-2*w*(w - 26)*(w - 1)/21
Factor 9*a**4 + 8403*a**3 - 151*a**2 - 9*a**5 - 29*a**2 + 10*a**5 - 8575*a**3.
a**2*(a - 10)*(a + 1)*(a + 18)
Suppose n - 627 = -4*f, -10*f + 9*f + 159 = -2*n. Factor -35*q**2 - 4*q - 42*q**2 - 5*q**3 + f*q**2 + 4*q.
-5*q**2*(q - 16)
Let w(s) = -2*s**2 + 19*s - 9. Let c be w(9). Let r = -751790/19 - -39568. Find d such that c*d + 2/19*d**4 + 0 + r*d**3 + 0*d**2 = 0.
-1, 0
Let u be (-35)/(-1449)*23*3/((-45)/(-48)). Determine j so that -32/9*j + 64/9*j**2 + u*j**4 + 0 - 2/9*j**5 - 16/3*j**3 = 0.
0, 2
Let n(x) be the first derivative of 5*x**4/4 - 85*x**3 - 1140*x**2 - 4720*x + 503. Factor n(a).
5*(a - 59)*(a + 4)**2
Let u be (-344)/(-40) + -7 + -6*(-2)/30. Let n(t) be the first derivative of 8 + 0*t + 1/12*t**3 + 0*t**u + 1/8*t**4 + 1/20*t**5. Solve n(s) = 0 for s.
-1, 0
Let y(v) be the second derivative of 0 + 3/20*v**5 + 1/3*v**4 - 30*v + 0*v**2 - 2/3*v**3 - 2/15*v**6 + 1/42*v**7. Factor y(f).
f*(f - 2)**2*(f - 1)*(f + 1)
Let c(h) be the first derivative of -2*h**3/9 - 161*h**2/6 - 80*h/3 - 718. What is j in c(j) = 0?
-80, -1/2
Let j(s) be the first derivative of 2*s**6/9 - 4*s**5 - 47*s**4 - 1156*s**3/9 + 32*s**2 + 528*s + 2577. Determine o, given that j(o) = 0.
-3, -2, 1, 22
Factor -3/5*v**4 + 192*v - 624/5 + 96/5*v**3 - 504/5*v**2.
-3*(v - 26)*(v - 2)**3/5
Suppose 89*g + 2011 = 2367. Factor -44/3*r - 16*r**2 - 14/3 - 2/3*r**g - 20/3*r**3.
-2*(r + 1)**3*(r + 7)/3
Let u be 269/106 - (1547 + -1593 + 4880/106). Suppose -u*d**2 - 1/4*d**3 + 0 - 4*d = 0. Calculate d.
-8, -2, 0
Suppose -j + 13 = -0*j. Let i = 16 - j. Solve 5*k**2 - 3*k**2 - 2*k**2 - 6*k + 3*k**2 + i = 0.
1
Let t = -70 - -86. Suppose 10670 = -t*k + 21*k. Solve -k*l**2 + 2134*l**2 - 2*l**3 + l + l**5 = 0 for l.
-1, 0, 1
Let a be 2 + -17 - (-27 - 432/(-48)). Factor 2 + 1/2*n**a - 2*n**2 - 1/2*n.
(n - 4)*(n - 1)*(n + 1)/2
Let x = 17 - 12. Let p(q) = -15*q**3 - 4*q**2 + 3. Let m be p(-1). Factor 6 - 9*t + 5*t**2 - 11*t - x + m.
5*(t - 3)*(t - 1)
Suppose 116 + 444 = 187*i - 1. Let s(z) be the first derivative of 3/4*z**4 - 5/3*z**i - 16 + 1/2*z**2 + z. Solve s(g) = 0 for g.
-1/3, 1
Let b(l) be the first derivative of 0*l**4 - 1/15*l**5 + 23/2*l**2 - 15 + 2/3*l**3 + 0*l. Let t(k) be the second derivative of b(k). Factor t(p).
-4*(p - 1)*(p + 1)
Let y = 633 + -628. Suppose 8*h**2 - 3*h**y - 8*h**4 - 32*h + 12*h**3 - 31*h + 53*h + h**5 = 0. Calculate h.
-5, -1, 0, 1
Let j(m) = 261*m - 11220. Let p be j(43). Find z, given that -1/4*z**p - 15/4*z + 9/4 + 7/4*z**2 = 0.
1, 3
Find x such that -14*x**3 - 4/9*x + 130/9*x**2 + 0 = 0.
0, 2/63, 1
Let o = -88217827 - -343255567445/3891. Let d = o - -2/1297. Find p such that 0 + d*p**2 - 4*p = 0.
0, 6
Find z, given that z**5 - 1196 + 794*z**2 - 624*z - 301*z**4 + 595*z**3 - 568*z + 107*z**2 = 0.
-1, 2, 299
Suppose -9*p = -4*p + 45. Let a be 2/1 + p/((-432)/(-84)). Factor -3/8*t + a + 1/8*t**2.
(t - 2)*(t - 1)/8
Suppose 1416*w - 4*w**2 - 428 - 23*w**2 + 167516 + 6*w**2 + 24*w**2 = 0. What is w?
-236
Let f be 1252/5 - ((-68)/(-20) + -3). Let 9*s**3 + 5*s**4 - f + 46*s**3 + 165*s**2 - 581*s + 606*s = 0. Calculate s.
-5, -2, 1
Let r(s) = 2*s**3 + 6*s**2 - 4. Suppose 3*d + 4*w + 0*w - 8 = 0, -36 = 4*d - 4*w. Let m(v) = 2*v**3 + 7*v**2 - 5. Let x(q) = d*m(q) + 5*r(q). Factor x(b).
2*b**2*(b + 1)
Let w(j) be the third derivative of -1/80*j**5 + 1/1680*j**7 + 1/48*j**4 + 5/48*j**3 + 3 - 3*j**2 + 0*j - 1/240*j**6. Factor w(t).
(t - 5)*(t - 1)*(t + 1)**2/8
Let g = 51665/178 - 25788/89. Solve -46*n - g*n**2 - 1058 = 0.
-46
Suppose -3*d = -5*u - 31, 152*d - 3*u - 11 = 154*d. Let 0 + 3/2*n + 3/8*n**d = 0. What is n?
-4, 0
Factor 1171*i + 297 + 205*i**2 + 498*i - 1057 - 1119*i + 5*i**3.
5*(i - 1)*(i + 4)*(i + 38)
Suppose 643 - 643 = 2*i. Let j be (i/1)/(31 + -32). Factor -2/3*u + 1/3*u**2 + j.
u*(u - 2)/3
Let s(p) = 68*p**3 + 1628*p**2 - 17600*p + 58856. Let d(m) = -6*m**3 - 148*m**2 + 1600*m - 5351. Let j(o) = 56*d(o) + 5*s(o). Factor j(f).
4*(f - 21)*(f - 8)**2
Factor 147381*m**2 - 867 - 864*m - 73688*m**2 - 73690*m**2.
3*(m - 289)*(m + 1)
Find z such that 333/8*z**3 + 1/8*z**5 - 287/4*z - 191/8*z**2 + 0 - 49/8*z**4 = 0.
-1, 0, 2, 7, 41
Let z(u) = 10*u - 18. Let g be z(2). Factor -55*t**4 - 140*t**3 - 6 + 50*t**3 - 27*t + 125*t**5 + 6 - 45*t**4 + 108*t**g.
t*(t + 1)*(5*t - 3)**3
Let -531/2*j - 321/2*j**2 - 21/2*j**3 + 6*j**4 - 243/2 = 0. What is j?
-3, -1, 27/4
Let -1/3*g**3 - 13520/3 - 18*g**2 + 637*g = 0. Calculate g.
-80, 13
Let a = -121 - -125. Let t be 1 - (14 - a)*-1. Factor -164*x**2 - 16*x + 84*x**3 + t - 8 + 13.
4*(x - 2)*(3*x + 1)*(7*x -