m - 0*z - 2*z, 0 = -5*m - 4*z + 13. Let d(h) = -18162*h + 145296. Let r be d(8). Factor r*n**2 - 1/2*n**m + 0*n**3 + 0*n + 0 + 3*n**4.
-n**4*(n - 6)/2
Let x(z) = 17*z**2 + 152*z + 165. Let i(g) = 115*g**2 + 1065*g + 1150. Let j(o) = -3*i(o) + 20*x(o). Factor j(f).
-5*(f + 1)*(f + 30)
Factor -15366*g - 78396/5*g**2 - 27708/5*g**3 - 6/5*g**5 - 5070 - 798/5*g**4.
-6*(g + 1)**3*(g + 65)**2/5
Let y(p) = -4*p**4 + 3*p**3 - 7*p**2 - 3*p - 17. Let n(h) = -2*h**4 + 2*h**3 - 6*h**2 - 2*h - 8. Let t(l) = 7*n(l) - 4*y(l). Determine a so that t(a) = 0.
-3, -1, 1, 2
Let n be ((-2)/(-21))/(802/2807). Factor -2/3*s - 1/12*s**4 + n*s**2 + 0 + 1/6*s**3.
-s*(s - 2)**2*(s + 2)/12
Let f be (-22050)/1260*32/(-90). Factor 32/9 - f*c + 28/9*c**2 - 4/9*c**3.
-4*(c - 4)*(c - 2)*(c - 1)/9
Suppose 28*w - 2/3*w**3 + 38/3*w**2 + 0 = 0. What is w?
-2, 0, 21
Let m(v) be the second derivative of v**5/18 - 227*v**4/54 - 2030*v**3/27 + 848*v**2/9 - 4120*v. Factor m(w).
2*(w - 53)*(w + 8)*(5*w - 2)/9
Let g be 275/150 - 1/(-6). Let -112 + 52*m**2 - 60*m - 121*m**2 + 67*m**g = 0. Calculate m.
-28, -2
Let w(k) be the third derivative of 0 + 3*k**4 - 1/15*k**5 + 0*k - 222*k**2 + 38/3*k**3. Factor w(h).
-4*(h - 19)*(h + 1)
Suppose 8*l - 524 = -492. Factor -23*w - 28 - l*w + 29*w**2 + 27*w**3 + 3*w**4 - 3*w**4 - w**4.
-(w - 28)*(w - 1)*(w + 1)**2
Let q(z) be the first derivative of 0*z**2 + 0*z + 76 - 2/35*z**5 + 0*z**3 + 3/14*z**4. Factor q(g).
-2*g**3*(g - 3)/7
Determine s so that 372 + 4*s**2 + 328 - 225*s - 834*s + 355*s = 0.
1, 175
Suppose 3*i + 2*q - 2832 = -2801, -3*i - 4*q + 53 = 0. Let -1 + 4/5*s**2 + 6/5*s**i + 1/5*s**4 - 6/5*s = 0. What is s?
-5, -1, 1
Let c = -378 - -381. Suppose -c*h = 7*h - 40. Find j, given that -2/15*j**5 - 4/15*j + 2/5*j**3 - 2/15*j**h + 2/15*j**2 + 0 = 0.
-2, -1, 0, 1
Suppose -3*g + 121*c + 162 = 108*c, 3*c + 44 = 4*g. Solve 4*k**3 + 3/2*k + 1/4 + 1/2*k**5 + 9/4*k**4 + 7/2*k**g = 0 for k.
-1, -1/2
Factor 3/2*r**2 + 57*r + 1083/2.
3*(r + 19)**2/2
What is v in 2850 + 50613*v**3 - 3525*v**4 - 6507*v**4 + 38880*v - 192*v**5 - 77463*v**2 - 3739 - 5267 = 0?
-57, 3/8, 2
Find l, given that -21/2*l + 99/4 + 3/4*l**2 = 0.
3, 11
Let c(v) = -2*v**3 - 57*v**2 - 5*v + 10. Let l(z) = -2*z**3 - 72*z**2 - 6*z + 12. Let m(g) = 6*c(g) - 5*l(g). Let m(x) = 0. What is x?
0, 9
Let f be (-9)/((-54)/(-12)) + (-1383)/(-3). Let m be ((-16)/(-9) - 2) + 156/f. Factor 14/17 + m*q**3 + 10/17*q**2 - 26/17*q.
2*(q - 1)**2*(q + 7)/17
Let g be 3/18 - 3*(-5)/(1170/143). Let 40/9*u + 130/9*u**3 + 0 - 176/9*u**g + 50/3*u**4 = 0. What is u?
-5/3, 0, 2/5
Suppose 28*o - 3000 = 22*o. What is c in -118*c - 4*c**3 - 226*c + 54*c**2 + 6*c**2 + 44*c + o = 0?
5
Let y(t) be the third derivative of t**8/672 - 11*t**7/84 + 52*t**6/15 - 253*t**5/15 - 13*t**4/3 + 676*t**3/3 + t**2 + 1534*t - 1. Determine l so that y(l) = 0.
-1, 2, 26
Let v(p) be the second derivative of -5*p**4/12 - 1935*p**3 - 6739605*p**2/2 + 682*p + 3. Solve v(o) = 0.
-1161
Suppose -5896/9*h**3 - 10/9*h**4 + 0 + 8270/9*h**2 - 788/3*h = 0. What is h?
-591, 0, 2/5, 1
Suppose -672*l + 11124/5*l**2 - 1944*l**3 + 20 = 0. What is l?
1/30, 5/9
Let s(h) be the first derivative of -4/3*h - 5/3*h**2 - 38 - 8/9*h**3 - 1/6*h**4. Determine k, given that s(k) = 0.
-2, -1
Let h = 5 + 25. Suppose 3*l = 2*x - h, -3*x - l - 6 = -29. Suppose -3*q + 5*q + x + 10*q - 6*q**2 - 12*q**3 - 3*q**4 = 0. Calculate q.
-3, -1, 1
Determine d, given that 978*d**3 + 1422*d - 975*d**3 + 746 + 155*d**2 - 660 + 794 = 0.
-40, -11, -2/3
Let x(j) be the third derivative of -j**8/28224 - j**7/840 - j**6/315 - 223*j**5/60 + 10*j**2 - 4*j. Let o(a) be the third derivative of x(a). Factor o(u).
-(u + 8)*(5*u + 2)/7
Let x(j) = -4*j**2 + 1440*j - 4. Let z(i) = 6*i**2 - 1445*i + 5. Let v(r) = -5*x(r) - 4*z(r). Suppose v(l) = 0. Calculate l.
-355, 0
Let t(i) be the first derivative of -i**6/60 - 8*i**5/105 + 17*i**4/84 + 2*i**3/7 + 3*i**2 - 7*i + 85. Let u(z) be the second derivative of t(z). Factor u(n).
-2*(n - 1)*(n + 3)*(7*n + 2)/7
Let b(r) be the second derivative of -r**4/18 - 88*r**3/3 - 261*r**2 + 9867*r. Suppose b(c) = 0. What is c?
-261, -3
Suppose d = 4*v - 9*v + 2695, 4*v - 2*d = 2170. Suppose -6*j - 4*j + v = 0. Let 5 - 49*c**2 + 2*c**3 - j*c**2 - 23 + 89*c**2 + 30*c = 0. What is c?
1, 3
Let o(b) be the third derivative of -27*b**7/70 - 303*b**6/20 - 14989*b**5/60 - 13433*b**4/6 - 35378*b**3/3 - 18*b**2 - 74. Factor o(y).
-(y + 7)**2*(9*y + 38)**2
Let s(x) be the second derivative of x - 1/130*x**5 - 22 - 1/13*x**2 + 1/39*x**3 + 1/78*x**4. Factor s(t).
-2*(t - 1)**2*(t + 1)/13
Solve -2*n**5 + 65/2*n**4 - 177/2*n**3 - 39 + 97/2*n**2 + 97/2*n = 0 for n.
-3/4, 1, 2, 13
Factor 22*c**2 - 3*c**2 + 98 - 6*c**2 + 92*c - 9*c**2 + 382.
4*(c + 8)*(c + 15)
Let v(k) be the second derivative of 2*k**6/75 - 43*k**5/25 + 53*k**4/5 - 78*k**3/5 + 770*k. Factor v(o).
4*o*(o - 39)*(o - 3)*(o - 1)/5
Suppose -8 = -5*s - 2*h - 0, -2*s = 4*h. Suppose 643*x - 12544 - 3*x**2 - 195*x + x**s - 2*x**2 = 0. What is x?
56
Let s(h) be the second derivative of h**7/21 + h**6/6 - 9*h**5/20 - 19*h**4/12 - h**3/6 + 3*h**2 - 3286*h. Suppose s(m) = 0. Calculate m.
-3, -1, 1/2, 2
Suppose 347*d - 14 + 9 + 5 = -111*d. Let u be (3/12)/(6/16). Let -5/3*x**2 - u*x**3 - 2/3*x + d = 0. What is x?
-2, -1/2, 0
Find c such that -552 + 24*c - 16*c + 3*c**2 + 6 - 165*c - 386*c = 0.
-1, 182
Let l(q) be the third derivative of q**10/75600 - q**9/3024 + 41*q**5/20 - 24*q**2 - q. Let y(t) be the third derivative of l(t). Factor y(z).
2*z**3*(z - 10)
Let o(p) be the third derivative of p**7/210 - 7*p**6/120 + 4*p**5/15 - p**4/2 + 5300*p**2. Factor o(j).
j*(j - 3)*(j - 2)**2
Suppose -8*k**4 + 2713 + 2171 - 572*k - 876*k**2 + 172*k**3 - 4400 = 0. What is k?
-1, 1/2, 11
Suppose -49*m = -29*m - 40. Solve 28*h**3 + 65*h + 34*h**m - 26*h**3 + 13*h + 128 + 82*h = 0 for h.
-8, -1
Let d(h) = h**2 - 22*h - 102. Suppose -5*p - 14 = 3*u, p - 5*u + 7 + 7 = 0. Let l be d(p). Solve -6/5*q**3 + 0 + 6/5*q**l + 2/5*q**4 - 2/5*q = 0.
0, 1
Let g(q) be the third derivative of -q**8/161280 + 13*q**7/20160 - 169*q**6/5760 + 6*q**5/5 + q**2 - 28. Let k(x) be the third derivative of g(x). Factor k(j).
-(j - 13)**2/8
Factor 0 + 0*v**2 - 2/9*v**5 + 0*v**3 - 28/3*v**4 + 0*v.
-2*v**4*(v + 42)/9
Factor c**2 + 7 - 1/3*c**3 + 25/3*c.
-(c - 7)*(c + 1)*(c + 3)/3
Suppose 0 = -0*l + 3*l + 5*h - 162, -2*h = 6. Solve 6*c - 29 + l - 2*c - 4*c**2 - 6 = 0.
-2, 3
Let c(q) be the second derivative of q**5/4 - 5*q**4 + 35*q**3/2 - 25*q**2 + q - 44. Factor c(s).
5*(s - 10)*(s - 1)**2
Let r(x) = -4*x**2 + 2. Suppose 138 - 116 = -5*z - 4*u, -2*u = 4*z + 14. Let m(g) = 0 - g - g**3 + 3 - 7*g**2 + 3*g**2. Let s(o) = z*m(o) + 3*r(o). Factor s(p).
2*p*(p - 1)**2
Let j = -3673/232 - -470/29. Let y(r) be the third derivative of 0*r - 1/40*r**6 - 3*r**2 + j*r**4 + 0*r**5 + r**3 + 0. Factor y(i).
-3*(i - 2)*(i + 1)**2
Let i = 31974 + -31956. Let k(z) be the first derivative of 0*z**2 - 9/2*z + 1/6*z**3 - i. Solve k(c) = 0.
-3, 3
Suppose 6*w - 271 = -253. Let o be 5/(-20) + 26/8. Factor -d**2 - 3*d**3 + 3*d**o + 2*d**2 + d**w.
d**2*(d + 1)
Let k be (-26)/52*(-128)/3. Let z(a) be the third derivative of -4/3*a**4 - a**2 - k*a**3 - 1/30*a**5 + 0*a + 0. Find d such that z(d) = 0.
-8
Suppose -5*d - 4 = -w, 5*w + 5*d = w + 16. Suppose 2*j + 3*j - 95 = -5*b, -3*j = 4*b - 77. Factor -6*l**2 + 2*l**3 - l**3 - 14*l**2 + w*l**3 + b*l.
5*l*(l - 2)**2
Suppose 68265*q = 68242*q. Let a(g) be the third derivative of 1/6*g**5 + 0*g + 11/12*g**4 + 43*g**2 + q + 2/3*g**3. Factor a(y).
2*(y + 2)*(5*y + 1)
Let k(j) = 21*j**2 + 182*j - 11. Let t(z) = 48*z**2 - 30*z**2 + 2 - 36*z - 22*z**2. Let g(s) = 2*k(s) + 11*t(s). Factor g(r).
-2*r*(r + 16)
Let i(x) be the third derivative of x**8/140 + 11*x**7/210 + x**6/18 - x**5/10 + 8*x**3/3 + 11*x**2. Let p(u) be the first derivative of i(u). Factor p(h).
4*h*(h + 1)*(h + 3)*(3*h - 1)
Let i(o) = -142*o - 6. Let m be i(2). Let f = -79 - m. Determine p, given that f + p - 5*p - 4*p**2 + 4*p**3 - 207 = 0.
-1, 1
Let v(l) be the second derivative of 170*l - 1/40*l**5 + 2*l**2 + 17/36*l**4 + 0 + 1/252*l**7 - 1/45*l**6 - 13/9*l**3. Let v(o) = 0. Calculate o.
-3, 1, 2
Determine k so that 110450/11 + 2/11*k**2 - 940/11*k = 0.
235
Let v(z) be the third deri