*u**6/5 - 69*u**5/20 + 347*u**4/4 - 82*u**3 + 30*u**2 - 73*u - 28. Solve a(m) = 0.
-2, 1/4, 2, 5
Let m be 0 + (-2 - 1) + (-49)/91*(-430)/70. Determine z so that -m + 2/13*z + 6/13*z**2 - 2/13*z**3 - 2/13*z**4 = 0.
-2, -1, 1
Let r be (3/54 + 2/(-4))*(-639)/16188*1786. Let -8*p + 56/3*p**2 + r*p**3 + 14/3*p**4 + 0 = 0. What is p?
-6, -1, 0, 2/7
Let h(n) be the third derivative of -3*n**8/448 + 17*n**7/56 - 107*n**6/160 - 29*n**5/80 + 27*n**4/16 + 74*n**2. Determine w so that h(w) = 0.
-2/3, 0, 1, 27
Let r(g) be the third derivative of 5/18*g**4 + 0 + 1/14*g**7 + 3*g + 8*g**2 - 23/72*g**6 + 25/504*g**8 + 0*g**3 + 0*g**5. Determine p so that r(p) = 0.
-2, -2/5, 0, 1/2, 1
Let b(l) = -2*l**3 - 4*l**2 - 13*l - 20. Let w be b(-2). Suppose -4*c - 3*v + 18 = 2*v, c + 2*v = 6. Let -w*o - 3 + 5 + o**3 + o + c*o = 0. Calculate o.
-2, 1
Solve -7560*i - 2*i**4 - 3146 - 296*i**3 + 956634*i**2 - 4360 - 959190*i**2 = 0 for i.
-139, -3
Let p = -12707 - -88950/7. Let h(w) be the first derivative of -p*w + 4/21*w**3 + 10 + 3/14*w**2. Find g such that h(g) = 0.
-1, 1/4
Let v(y) be the third derivative of -247*y**5/105 + 1483*y**4/84 - y**3/7 + 4*y**2 - 3*y - 61. Determine p, given that v(p) = 0.
1/494, 3
Let v(p) be the second derivative of 9*p**5/20 - 95*p**4/4 + 229*p**3/2 + 261*p**2/2 - 2215*p. Determine r, given that v(r) = 0.
-1/3, 3, 29
Suppose -25*d = 115*d + 6*d - 5256. Suppose -21/5*v**5 + d*v**3 + 0*v + 0 - 48/5*v**2 - 36/5*v**4 = 0. Calculate v.
-4, 0, 2/7, 2
Let r(v) = -v**2 + 4. Let y be r(0). Suppose 30*j = 29*j - 3*f + 27, -3*j + 5*f - 45 = 0. Factor -4/7*q**2 + 2/7*q**5 + 0*q + j + 10/7*q**3 - 8/7*q**y.
2*q**2*(q - 2)*(q - 1)**2/7
Let y = 1/37581 - -8351/12527. Find l, given that -2/9*l**5 + 8/3*l + y*l**4 + 2/9*l**3 - 8/9 - 22/9*l**2 = 0.
-2, 1, 2
Let 2/5*y**3 - 952/5*y + 8*y**2 + 0 = 0. What is y?
-34, 0, 14
Let k(f) = -f**2 + 8*f + 7. Let b be k(10). Let j = -11 - b. Factor 10*l**2 - 4*l**3 - 2*l**j - 2*l**2 - 2*l.
-2*l*(l - 1)*(2*l - 1)
Let t be ((-69)/46)/(0 - 3/25). Let x be (12/30)/(8/10) - (-2 + 2). Factor -x*z**2 - 5*z - t.
-(z + 5)**2/2
Find g such that -72 + 438*g - 2439*g**3 - 19*g**2 - 372*g + 2*g**2 + 2440*g**3 = 0.
2, 3, 12
Let y(n) be the second derivative of -5*n**4 - n**5 + 10/3*n**3 + 2/15*n**6 - 4 + 28*n**2 - n. Find u such that y(u) = 0.
-2, -1, 1, 7
Let s(p) be the third derivative of -3*p**6/10 + 536*p**5/15 - 1310*p**4 - 2400*p**3 + 3*p**2 - p - 14. Factor s(g).
-4*(g - 30)**2*(9*g + 4)
Determine d, given that 1546572 - 1355*d + 4*d**2 + 3033*d - d**2 + 2630*d = 0.
-718
Let m(b) be the first derivative of b**6/120 - 3*b**5/40 + 13*b**4/48 - b**3/2 + b**2/2 - 136*b - 100. Let i(t) be the first derivative of m(t). Factor i(p).
(p - 2)**2*(p - 1)**2/4
Let d(x) = 3*x**3 - 4*x**2 - 11*x + 8. Let n(s) = 5*s**3 - 5*s**2 - 25*s + 15. Let f(a) = -5*d(a) + 2*n(a). Determine j so that f(j) = 0.
-1, 1, 2
Suppose -261/2*g**2 - 5544*g - 3/4*g**3 + 11616 = 0. Calculate g.
-88, 2
Factor 120 + 83/2*l + 1/2*l**2.
(l + 3)*(l + 80)/2
Let j(a) be the second derivative of a**5/15 - 269*a**4/9 + 12496*a**3/3 - 58080*a**2 + a - 688. Factor j(f).
4*(f - 132)**2*(f - 5)/3
Let r(z) = 31*z + 343. Let n be r(-11). Let m be (-8)/(-10) + (16 - (2 + 14)). Factor 0*q**4 + 0*q + m*q**3 - 4/5*q**5 + 0 + 0*q**n.
-4*q**3*(q - 1)*(q + 1)/5
Factor 84 + 87/2*a**2 + 127*a + 1/2*a**3.
(a + 1)*(a + 2)*(a + 84)/2
Let b = 15/16 - 103/144. Let i = -21268 + 21268. Solve b*y**3 - 8/9*y**2 + 2/3*y + i = 0.
0, 1, 3
Let y(f) be the third derivative of 0*f**4 + 0 - 1/4*f**5 + 1/70*f**7 + 0*f - 1/10*f**6 - 50*f**2 + 0*f**3. Determine s, given that y(s) = 0.
-1, 0, 5
Let a be ((1 + -2)*2/(-8))/(363/(-396) - -1). Solve -66/5*b - 26/5*b**2 + 18 + 2/5*b**a = 0.
-3, 1, 15
Suppose 26243 - 28027 = -223*k. Let -28/15 + 6/5*c**5 + 34/5*c - 112/15*c**4 + 28/3*c**2 - k*c**3 = 0. What is c?
-1, 2/9, 1, 7
Let y(j) be the second derivative of -j**8/15960 - j**7/7980 + j**6/6840 + 11*j**4/4 + 92*j. Let c(h) be the third derivative of y(h). Factor c(d).
-2*d*(d + 1)*(4*d - 1)/19
Let t be (-304)/(-38)*(-2)/30. Let s = 2/3 + t. Suppose 2/15*c**4 - s*c**3 + 8/15*c + 16/15 - 4/5*c**2 = 0. What is c?
-2, -1, 2
Find o, given that -3*o**4 + 9*o**2 - 12*o**3 - 20*o**4 + 35*o**4 - 9*o**4 = 0.
0, 1, 3
Suppose 5*j + 3*x + 6 = 0, 189*x = 2*j + 185*x - 8. Let r(c) be the third derivative of 0*c + 16*c**2 + 0*c**4 + j - 1/160*c**5 + 1/16*c**3. Solve r(s) = 0.
-1, 1
Let f = 59 + -59. Suppose 3*n - 7 = k + 6, f = 5*k - 2*n. Determine x so that -k*x + 32*x**3 - 1 + x**4 - 34*x**3 + 4*x = 0.
-1, 1
Factor -144*j + 33*j**3 - 1598*j**4 + 48*j**2 + 11*j**3 + 1602*j**4 + 48*j**2.
4*j*(j - 1)*(j + 6)**2
Let i = 908 - 908. Let j(p) be the second derivative of -3*p**5 + i + 0*p**2 - 5/4*p**4 - 7/6*p**6 + 5/3*p**3 + p. Factor j(q).
-5*q*(q + 1)**2*(7*q - 2)
Let n(u) = -u**2 + 9*u - 12. Let p be n(6). Let g be 0 + p + (-9)/3. Let 0 - 3/4*l**5 - 21/4*l**4 - 27/4*l**2 - 45/4*l**g + 0*l = 0. What is l?
-3, -1, 0
Factor -12*y**2 + 238*y - 2*y**2 - 2*y**2 + 4*y**3 - 226*y.
4*y*(y - 3)*(y - 1)
Let a(t) be the first derivative of t**4 + 176*t**3/3 - 1328. Solve a(v) = 0 for v.
-44, 0
Suppose 168738 = -10*f + 43458. Let c be (-6)/1 - f/1972. Let 0 - 2/17*q**3 - 4/17*q + c*q**2 = 0. Calculate q.
0, 1, 2
Let h(m) be the second derivative of 2*m + 19/9*m**3 - 5 + 1/9*m**4 + 2*m**2 - 1/10*m**5. Let h(t) = 0. What is t?
-2, -1/3, 3
Factor 2/17*r**2 + 62/17*r + 300/17.
2*(r + 6)*(r + 25)/17
Let o(n) = n**3 + 5*n**2 - n + 3. Let x be o(0). What is u in -32*u**2 - 56*u**2 + 44899*u**3 - 64*u - 44887*u**x = 0?
-2/3, 0, 8
Let h(g) be the first derivative of -g**6/2 - 12*g**5/5 - 3*g**4/4 + 10*g**3 + 6*g**2 - 24*g + 765. Determine s so that h(s) = 0.
-2, 1
Let b(f) = -2*f**2 - 394*f - 4438. Let p be b(-185). Factor -105/2*k**p + 6*k**3 + 69/2*k + 12.
3*(k - 8)*(k - 1)*(4*k + 1)/2
Let m(d) = 1265*d + 3795. Let k be m(-3). Factor k*i**3 + 3/7*i + 6/7*i**4 + 0 - 3/7*i**5 - 6/7*i**2.
-3*i*(i - 1)**3*(i + 1)/7
Suppose -4*g**5 + 892/9*g**4 - 892/9*g**2 - 200/9*g + 236/9*g**3 + 0 = 0. What is g?
-1, -2/9, 0, 1, 25
Let b(m) = -m**3 + 14*m**2 - 26*m + 12. Let s be b(12). Let y be (s/30)/(2/(-320)). Suppose 29*g**5 - 70*g**5 + 37*g**5 - 32*g**4 - y*g**3 = 0. Calculate g.
-4, 0
Let k(m) be the first derivative of 2*m**3/3 - 90*m**2 + 850*m - 4591. Suppose k(l) = 0. What is l?
5, 85
Let o(g) be the first derivative of -g**4/22 + 254*g**3/11 + 1976. Suppose o(r) = 0. Calculate r.
0, 381
Let x(z) be the third derivative of z**7/420 - z**6/80 - z**5/60 + z**4/4 - 2*z**3/3 - 108*z**2 + 5. Factor x(i).
(i - 2)**2*(i - 1)*(i + 2)/2
Let i(k) = -795*k + 30215. Let h be i(38). Find l such that 0 + 0*l + 0*l**2 + 1/3*l**h + 1/3*l**4 + 0*l**3 = 0.
-1, 0
Let p(c) = -c**2 + 12*c - 18. Let l be p(2). Determine d, given that -12*d**2 + 41*d**2 - 10*d - 5*d**2 - 9*d**2 + 8 - 13*d**l = 0.
1, 4
Let z = -174/89 - -14009/7120. Let s(f) be the second derivative of -1/96*f**4 - z*f**5 + 0 - 14*f + 1/240*f**6 + 0*f**2 + 1/24*f**3. Factor s(j).
j*(j - 2)*(j - 1)*(j + 1)/8
Let k = -96 - -172. Let s = k + -71. Find v, given that -80*v**4 - s*v**2 + 45*v**3 - 20*v**4 + 0*v**2 = 0.
0, 1/5, 1/4
Let l(q) be the first derivative of -200000*q**3/3 + 3000*q**2 - 45*q + 5301. Let l(w) = 0. Calculate w.
3/200
Determine a, given that 4/11 + 208/11*a**2 + 102/11*a**3 + 10*a = 0.
-1, -2/51
Let y be ((2823/(-9))/1)/((-85)/90 + 7/14). Determine l, given that 4299/4*l**3 + y*l**2 + 75 + 12*l**5 - 540*l - 234*l**4 = 0.
-1, 1/4, 10
Let m be 8/80 + 2517/30. Solve 82*b**3 + 7260*b + 53240 + 330*b**2 + m*b**3 - 161*b**3 = 0.
-22
Let t be 22 - (3 + 1 + -4). Suppose t = -i + 2*z + 18, 8 = 2*i + 4*z. Factor 3*n**3 + 0*n + 3/2*n**2 + i - 9/2*n**4.
-3*n**2*(n - 1)*(3*n + 1)/2
Let c(d) be the third derivative of -d**5/20 - 29*d**4/4 + 192*d**3 + 3*d**2 - 92. Factor c(q).
-3*(q - 6)*(q + 64)
Suppose 5 = -3*f - 4*v - 51, -2*f = v + 39. Let u(x) = 2. Let q(h) = -5*h**2 + 370*h - 6805. Let a(d) = f*u(d) + q(d). Factor a(j).
-5*(j - 37)**2
Let o(x) be the second derivative of -9*x**5/10 - 139*x**4/2 + 281*x**3/3 - 47*x**2 - 111*x - 2. Factor o(j).
-2*(j + 47)*(3*j - 1)**2
Let j be 405 + -390 + 0 + (-12)/(-9)*-9. Solve 6/11*y**2 + 8/11*y**j - 8/11*y - 8/11 + 2/11*y**4 = 0.
-2, -1, 1
Let h = -635 + 772. 