95*c - 24355. Let u(f) = 2*b(f) + 55*y(f). Determine p, given that u(p) = 0.
-2, 2, 45
Let j(b) be the first derivative of -16*b**6/15 + 32*b**5/5 - 63*b**4/10 - 2*b**3/3 + 4*b**2/5 - 2361. Suppose j(w) = 0. Calculate w.
-1/4, 0, 1/4, 1, 4
Let q be (63/6)/((-372)/(-16)*-1). Let p = 166/93 + q. Solve 2/3*i**4 + p*i**3 - 4/3*i - 2/3 + 0*i**2 = 0.
-1, 1
Let 173/2*h**3 - 3/4*h**4 - 455/4*h**2 - 29*h + 57 = 0. Calculate h.
-2/3, 1, 114
Let m(w) be the second derivative of -w**7/210 + w**6/6 - 43*w**5/100 - 73*w**4/60 + 44*w**3/15 + 46*w**2/5 - 6*w - 59. Solve m(k) = 0 for k.
-1, 2, 23
Let i be 175/70 + (1 + -1)/3. Let n(j) = -3*j - 19. Let z be n(-8). Factor -i*h + 5/2*h**5 - 5*h**2 + z*h**4 + 0*h**3 + 0.
5*h*(h - 1)*(h + 1)**3/2
Factor 1631475 + 6094200 - 6690*s + s**2 - 1993834 + 5457184.
(s - 3345)**2
Let k = -670 - -1165. Let f = 497 - k. Determine z so that -1/3*z + 5/6*z**f - 1/2*z**3 + 0 = 0.
0, 2/3, 1
Factor -1458*g**2 + 584*g**2 + 421*g**2 - 3*g**4 - 1152*g + 699*g**2 + 1485.
-3*(g - 5)*(g - 3)**2*(g + 11)
Let f(i) = -i**2 - 41*i + 707. Let h be f(13). Let g(o) be the first derivative of -h - o**5 - 45*o - 110/3*o**3 + 10*o**4 + 60*o**2. Factor g(l).
-5*(l - 3)**2*(l - 1)**2
Let m(z) be the first derivative of 3*z**4/4 + 78*z**3 - 858. Determine t, given that m(t) = 0.
-78, 0
What is u in -1/6*u**2 - 1075369/6 - 1037/3*u = 0?
-1037
Suppose -4*j + 2*v = -210, 5*j - 96 = -4*v + 186. Let a = j + -52. What is q in -3/2*q**a + 3/2*q**4 + 0*q + 0 + 15/4*q**5 - 15/4*q**3 = 0?
-1, -2/5, 0, 1
Factor -1/11*p**3 - 219/11*p**2 - 444/11 + 664/11*p.
-(p - 2)*(p - 1)*(p + 222)/11
Let p(w) be the first derivative of -2/5*w**5 + 8/3*w**3 + w**4 + 0*w + 0*w**2 - 7 - 1/6*w**6. Factor p(c).
-c**2*(c - 2)*(c + 2)**2
Let x be (48/(-32))/(3/(-18)). Suppose x*n - n = -9*n. Factor 0 + 0*y + n*y**2 - 2/11*y**4 - 2/11*y**3.
-2*y**3*(y + 1)/11
Let u(n) = -2*n**2 + 22*n + 420. Let i be u(-10). Factor -15/2*v**3 - 3*v + i - 21/2*v**2.
-3*v*(v + 1)*(5*v + 2)/2
Let q = 217600 + -217600. Factor 0*c + 12/5*c**2 + 32/5*c**3 + q + 4*c**4.
4*c**2*(c + 1)*(5*c + 3)/5
Suppose -118*f + 120*f - 74 = 0. Factor -2*v**3 - 36*v - f*v - 35*v + 116*v.
-2*v*(v - 2)*(v + 2)
Let m(f) be the first derivative of -5*f**4/12 + 35*f**3 - 1040*f**2 + 39680*f/3 + 6043. Suppose m(k) = 0. Calculate k.
16, 31
Let y(r) be the second derivative of -3*r**5/4 - 175*r**4/12 + 35*r**3/3 + 60*r**2 + 1172*r. Determine x so that y(x) = 0.
-12, -2/3, 1
Let x(f) = 7*f**2 + 636*f - 135. Let v(n) = n**2 + 91*n - 20. Let h(a) = -27*v(a) + 4*x(a). Factor h(k).
k*(k + 87)
Solve 18800896/5*a**4 + 0 + 25*a - 19902511/5*a**5 + 216258*a**3 + 4040*a**2 = 0 for a.
-5/271, 0, 1
Let k(d) be the second derivative of d**5/25 - 21*d**4/20 + 101*d**3/30 - 21*d**2/5 - 13*d - 218. Determine i, given that k(i) = 0.
3/4, 1, 14
Suppose -1895*t + 1331*t = 0. Let t - 26/3*a**3 - 6*a**2 + 6*a**4 + 28/3*a - 2/3*a**5 = 0. Calculate a.
-1, 0, 1, 2, 7
Suppose 0 = -132*x + 93*x - 383*x + 844. Let -1/2*v**4 + 0 + 3/2*v**x + 0*v - v**3 = 0. What is v?
-3, 0, 1
Let a(v) = -v**3 - 81*v**2 + 250*v + 330. Let s(l) = 3*l**3 + 242*l**2 - 748*l - 987. Let y(i) = -17*a(i) - 6*s(i). Factor y(g).
-(g - 4)*(g + 1)*(g + 78)
Factor 4/3*d**3 - 28/3 + 74/3*d - 38/3*d**2.
2*(d - 7)*(d - 2)*(2*d - 1)/3
Solve 8 + 2608*m + 4*m**4 + 880*m**3 + 585 + 2616*m**2 + 275 = 0 for m.
-217, -1
Find n such that -19563*n**2 - 57*n - 55*n**3 + 5*n**5 + 19728*n**2 - 33*n - 25*n**4 = 0.
-3, 0, 1, 6
Let s = 17973/47 - 35899/94. Determine l so that -1 + s*l + 1/2*l**2 = 0.
-2, 1
Let l(i) = 53*i**2 + 12656*i + 8013772. Let p(y) = 65*y**2 + 12655*y + 8013770. Let z(f) = 5*l(f) - 4*p(f). Factor z(j).
5*(j + 1266)**2
Let z be (-2)/25 - (3520/(-250) - -14). Let i be 15*3/(18/2). Factor 4 + i*b**2 + z - 2 - 10*b + 3.
5*(b - 1)**2
Let k = 105/9073 - -126077/81657. Factor -2/9*z**3 + 56/9*z - k*z**2 - 40/9.
-2*(z - 2)*(z - 1)*(z + 10)/9
Determine a, given that -48*a**2 + 12*a**3 + 16*a**3 - 360 - 412*a - 11*a**3 - 13*a**3 = 0.
-5, -1, 18
Find n, given that 10/3*n**2 - 118/9*n - 2/9*n**3 + 10 = 0.
1, 5, 9
Factor 921/7*r**2 - 33 + 694/7*r - 4/7*r**3.
-(r - 231)*(r + 1)*(4*r - 1)/7
Let o be 117/(-26) - (-28)/8. Let i be o/2*(98/(-14))/7. Determine b so that -1/2*b + 0 + 1/4*b**4 - 1/4*b**2 + i*b**3 = 0.
-2, -1, 0, 1
Factor 124 - 2/3*t**2 + 118/3*t.
-2*(t - 62)*(t + 3)/3
Suppose -489/4 - 1/4*k**2 - 245/2*k = 0. What is k?
-489, -1
Let k be ((-226)/38 - 130/2470) + 10. Factor -45 - 215/2*i + 5/2*i**k - 155/2*i**2 - 25/2*i**3.
5*(i - 9)*(i + 1)**2*(i + 2)/2
Let u(d) = 5*d**2 + 4*d + 49. Let r(f) = 2*f**2 + 2*f + 16. Let o = 116 - 105. Let a(j) = o*r(j) - 4*u(j). Solve a(g) = 0.
-5, 2
Let a(q) = 1873*q + 61809. Let o be a(-33). Let -2/5*d**3 + o*d + 0 + 18/5*d**2 = 0. Calculate d.
0, 9
Let a(j) = 7*j**2 + 20062*j - 20160326. Let n(y) = -2*y**2 + 3*y + 1. Let r(h) = -a(h) - 6*n(h). Factor r(l).
5*(l - 2008)**2
Let u = 209 - 193. Suppose -62 = -23*o - u. Factor 32*v**o - 2/3 + 26/3*v.
2*(3*v + 1)*(16*v - 1)/3
Find m such that 2172567/7*m**2 + 75/7*m**4 + 25590/7*m**3 + 350892/7 - 1750356/7*m = 0.
-171, 2/5
Let c(n) be the third derivative of 0*n**3 - 1/20*n**5 - 1/30*n**6 + 0*n**4 + 41*n**2 + 0 + 1/168*n**8 + 0*n + 1/42*n**7. Factor c(m).
m**2*(m - 1)*(m + 3)*(2*m + 1)
Let h(o) = 7*o**2 + 2*o + 1. Let q(z) = 46*z**2 + 4884*z + 1483530. Let r(l) = -6*h(l) + q(l). Factor r(f).
4*(f + 609)**2
Let q(x) be the third derivative of 7/12*x**5 + 62*x**2 + 0 + 0*x**3 + 25/12*x**4 - 1/42*x**7 + 0*x - 1/6*x**6. Determine g so that q(g) = 0.
-5, -1, 0, 2
Find r such that 128 + 8660*r + 30960*r**2 + 972*r + 65767*r**2 + 84475*r**2 = 0.
-8/301
Find n such that -4*n**3 - 64*n - 198 + 19*n**2 - 59*n**2 - 71*n + 23*n + 102 = 0.
-6, -2
Suppose 144*p - 20340 = -19764. Solve -1/2*u**2 - p*u - 8 = 0.
-4
Let y be 72/(-54)*(-426)/4. Suppose -137*o = -y*o, 0 = -j - 5*o + 2. Determine g so that 1 + 1/4*g**j - g = 0.
2
Let c(o) = -5*o**2 + 46*o - 1020. Let y(i) = 23*i**2 - 226*i + 5097. Let r(z) = 19*c(z) + 4*y(z). Factor r(p).
-3*(p - 14)*(p + 24)
Let a(b) = -2*b**3 - 14*b**2 + 2*b + 17. Let m be a(-7). Let n be (-2 - m - (0 + 0))/(-1). Factor n*i**2 - 20*i**2 + 3*i**2 + 9*i**2 + 15*i - 12.
-3*(i - 4)*(i - 1)
Suppose 148*r - 139*r - 9 = 0. Let v be (-56)/12 - -5 - (-1)/r. Factor v*y**2 + 2/9*y**4 + 8/9*y + 2/9 + 8/9*y**3.
2*(y + 1)**4/9
Let d be (33/(-12) - -3 - 330/360)*-3. Let u = -437/7 + 63. Let -2/7*f + 2/7*f**3 - 4/7*f**d + u = 0. What is f?
-1, 1, 2
Let z(u) be the second derivative of 1/15*u**6 - 20/3*u**3 - 10 + 1/5*u**5 + u - 7/6*u**4 - 12*u**2. Suppose z(r) = 0. What is r?
-2, -1, 3
Solve 8/13 - 34/13*a**3 + 138/13*a**2 - 144/13*a = 0.
1/17, 2
Solve 0 - 282/7*p**2 - 2/7*p**4 + 8*p**3 + 396/7*p = 0.
0, 3, 22
Let h be (-1)/4 - (-51)/76. Suppose 8637 = 22*s + 8593. Factor -6/19*b - h*b**s + 0 - 2/19*b**3.
-2*b*(b + 1)*(b + 3)/19
Let q(c) = 3*c**2 + 157*c - 61748. Let n be q(-172). Let y = 5/28 - -4/7. Factor -9/4*g - 3/2*g**2 + y*g**3 + n.
3*g*(g - 3)*(g + 1)/4
Factor 2/3*l + 80/3 - 1/3*l**2.
-(l - 10)*(l + 8)/3
Let h = -43297 + 86597/2. Factor 5*v + 3*v**3 + h + 6*v**2 + 1/2*v**4.
(v + 1)**3*(v + 3)/2
Let a be 12/(-28) - (-2804)/6608. Let y = 947/708 + a. Solve -540*t - y*t**5 + 324 + 20*t**4 + 360*t**2 - 120*t**3 = 0.
3
Suppose 1458 - 1498 = -20*s. Let w(c) be the second derivative of 1/30*c**4 + 0 - 29*c - 4/5*c**s - 1/5*c**3. Suppose w(t) = 0. Calculate t.
-1, 4
Let r(k) be the second derivative of k**6/270 - 19*k**4/54 - 20*k**3/9 - 169*k**2/2 + 74*k. Let h(a) be the first derivative of r(a). Factor h(y).
4*(y - 5)*(y + 2)*(y + 3)/9
Let g = 57 + 151. Let x be (1 - 82/88)/(78/g). Let 0 - x*w - 2/11*w**3 - 4/11*w**2 = 0. What is w?
-1, 0
Suppose -126 = 3*j - 24*j. Factor -j + 4*u**3 + 5*u**2 - 3*u**3 + u**2 - 13*u**3 + 9*u + 3*u**5.
3*(u - 1)**3*(u + 1)*(u + 2)
Let l be 11/4 + -2 - (-279)/12. Suppose 13*c = 41 + l. Factor 10*h**3 - 7*h**3 - c*h**3 - 22*h**2 + 4*h + 20*h**3.
2*h*(h - 1)*(9*h - 2)
Let t(d) = d**3 + 37*d**2 - 80*d - 74. Let c be ((-2)/(-2) - 2)*(101 + -62). Let m be t(c). Factor 0 + 48/11*b**2 - m*b**3 - 18/11*b - 2/11*b**5 + 16/11*b**4.
-2*b*(b - 3)**2*(b - 1)**2/11
Find z such that -189/4*z + 21/4*z**3 + 3/4*z**4 + 3/4*z**2 - 135/2 = 0.
-5, -3, -2, 3
Let w(b) be the third derivative of 