5 + 8*d**4 + 6*d**3 - 8*d**2 - 7*d - 7. Let m(p) = -2*k(p) - 14*s(p). Suppose m(q) = 0. Calculate q.
-1, 0, 1
Let x = 272/5 - 54. Let l be 404/132 + 38/(-627). Let 6/5*d + 6/5*d**2 + x + 2/5*d**l = 0. What is d?
-1
Let p = -74 + 79. Let l(c) be the second derivative of 5/24*c**4 + 0 - 11/40*c**p + 1/6*c**3 + 0*c**2 + 2*c + 1/15*c**6. Let l(f) = 0. Calculate f.
-1/4, 0, 1, 2
Suppose 11236 - 106*p + 1/4*p**2 = 0. Calculate p.
212
Let f = 42 + -39. Let j = -63 + 259/4. Find i, given that -j*i**2 - 3/4*i**f + 0 - 1/2*i = 0.
-2, -1/3, 0
Let c(l) = 225*l**3 - 956*l**2 + 244*l - 20. Let o(p) = 225*p**3 - 955*p**2 + 244*p - 21. Let r(u) = 5*c(u) - 4*o(u). Suppose r(n) = 0. Calculate n.
2/15, 4
Let z = -475 + 478. Let k(b) be the second derivative of 1/78*b**4 + 0 - 1/39*b**z + b - 2/13*b**2. Factor k(w).
2*(w - 2)*(w + 1)/13
Determine j so that -20/9 + 1/9*j**2 - 8/9*j = 0.
-2, 10
What is b in 34*b**5 - 4*b**3 - 10*b**5 - 2*b**4 - 18*b**5 = 0?
-2/3, 0, 1
Factor 28*o**5 - 23*o**5 + 7*o**4 + 8*o**4.
5*o**4*(o + 3)
Let x(g) be the second derivative of -4*g - 5/6*g**3 - 1/18*g**6 + 1/4*g**5 + 5/3*g**2 + 0 - 5/36*g**4. Suppose x(k) = 0. Calculate k.
-1, 1, 2
Suppose 18 = 5*m + 3. Suppose -12*j**m + 20*j**3 - 12*j**3 + 4*j**5 = 0. Calculate j.
-1, 0, 1
Suppose 3*m = -21 - 33. Let i be (-12)/(-30) - m/5. Let 0 - 4 - 3*t + 8*t**3 + i*t**4 - 5*t = 0. Calculate t.
-1, 1
Let h be 1/(198/639) + 10/(-4). Let t(i) be the first derivative of 6 + 10/11*i**5 - h*i - 10/11*i**4 - 14/11*i**3 + 20/11*i**2. Solve t(w) = 0.
-1, 2/5, 1
Suppose 42*q**2 + 831*q - 31 - 155 - 15*q**2 = 0. What is q?
-31, 2/9
Let m(v) be the first derivative of -v**4/2 + 8*v**3/3 - 5*v**2 + 4*v - 253. Determine x, given that m(x) = 0.
1, 2
Suppose 4*g = 8*g - 12. Determine a so that a**2 + 35*a**g - 3*a**2 - 13*a**2 = 0.
0, 3/7
Let j be 32/12*(212/56 - 4). Let c = j - -15/14. Find z, given that -9/2*z**4 - 3*z**3 + 4*z**2 + 3*z + c = 0.
-1, -1/3, 1
Factor 42/5*u - 108/5 - 2/5*u**2.
-2*(u - 18)*(u - 3)/5
Let y(h) be the second derivative of h**5/5 - 4*h**4/7 + 2*h**3/7 + 4*h**2/7 + 232*h. Factor y(g).
4*(g - 1)**2*(7*g + 2)/7
Find f, given that -7*f**2 - f**2 + 181*f**3 - 178*f**3 + 2*f**4 + 4*f - f**5 = 0.
-2, 0, 1, 2
Let h(l) be the third derivative of l**6/60 + 7*l**5/30 - 2*l**4/3 + 172*l**2. Suppose h(b) = 0. Calculate b.
-8, 0, 1
Suppose a = 5*a - 24. Suppose -a*o + 5*o + 4 = 0. Suppose -2*z**3 - z**5 - 2*z**4 - o*z**3 + 5*z**3 + 4*z**4 = 0. Calculate z.
0, 1
Let q(r) be the second derivative of -r**4/9 - 76*r**3/3 + 230*r**2/3 + 108*r + 1. Suppose q(z) = 0. Calculate z.
-115, 1
Let h(w) = 4*w**3 - w + 1. Let u(d) = 3*d**4 + 78*d**3 - 57*d**2 + 66*d - 18. Let z(q) = 18*h(q) - u(q). Find r, given that z(r) = 0.
-6, 1, 2
Let d(b) = -24*b**2 + 15*b - 9. Let h(v) = -21*v**2 + 15*v - 8. Let o(i) = 8*d(i) - 9*h(i). Factor o(r).
-3*r*(r + 5)
Let y = -1285/2 - -645. Let k(d) be the first derivative of 5/3*d**3 + 14 + 0*d - y*d**2. Let k(j) = 0. Calculate j.
0, 1
Let q(w) = 35*w**2 - 245*w. Let v be q(7). Factor 1/5*l**4 - 1/5*l + 1/5*l**3 + v - 1/5*l**2.
l*(l - 1)*(l + 1)**2/5
Let s(l) be the third derivative of -1/13*l**4 + 9/260*l**6 - 8/39*l**3 + 1/39*l**5 + 16/1365*l**7 + 0*l - 14*l**2 + 0 + 1/728*l**8. What is m in s(m) = 0?
-2, -1, 2/3
Let x be (-2)/(-5) - (-1 - -11 - 3087/245). Factor -3/2*o - 1/6*o**x - o**2 - 2/3.
-(o + 1)**2*(o + 4)/6
Factor 810*v - 786*v - 19*v**2 - 3*v**3 - 2*v**2.
-3*v*(v - 1)*(v + 8)
Let b(a) be the third derivative of 0*a - 3/20*a**6 + 0*a**7 + 0 + 0*a**3 - 3/8*a**4 - 20*a**2 + 2/5*a**5 + 1/112*a**8. Factor b(d).
3*d*(d - 1)**3*(d + 3)
Let y = -10741209/30580 + -4/7645. Let u = y - -353. Find x, given that u*x**2 + 0 - 1/2*x = 0.
0, 2/7
Let n(x) be the third derivative of -1/5*x**3 + 0*x + 0 - 1/300*x**6 + 1/50*x**5 - 4*x**2 + 1/60*x**4. Let n(r) = 0. What is r?
-1, 1, 3
Suppose -2*d = 4*f + 16, -f = 26*d - 27*d + 10. Find n, given that -4/5*n**3 + 2/5*n**d + 0 + 0*n**2 + 0*n = 0.
0, 2
Let q = -113/94 + 753/470. Factor -q*k + 1/5*k**2 + 1/5.
(k - 1)**2/5
Let x be (-258)/1419*(-2 + 15/(-9)). Solve -10/9*c - x*c**3 - 2*c**2 + 0 + 2/9*c**4 = 0 for c.
-1, 0, 5
Let m(d) be the third derivative of -7/120*d**6 - 2*d**2 + 2/105*d**7 + 0*d**3 + 1/30*d**5 + 1/24*d**4 + 0 + 0*d. Factor m(w).
w*(w - 1)**2*(4*w + 1)
Factor 3/4*o**3 - 15/4*o**2 - 9/4 + 21/4*o.
3*(o - 3)*(o - 1)**2/4
Let t(q) be the first derivative of q**4/28 + 5*q**3/21 - 62. Factor t(p).
p**2*(p + 5)/7
Let q = 49 + -14. Let w(z) = -9*z**2 + 116*z + 80. Let u(o) = 55*o**2 - 695*o - 480. Let l(k) = q*w(k) + 6*u(k). Solve l(t) = 0.
-2/3, 8
Suppose 23*r = 1269 + 249. Let p be (-4 + r/20)*12/(-7). Find y such that -8/5 - 2/5*y**3 + p*y**2 + 0*y = 0.
-1, 2
Let 64/9 - 20/3*c**3 - 112/3*c - 50/9*c**4 + 472/9*c**2 = 0. What is c?
-4, 2/5, 2
Let o = 42344/97497 + 2/4239. Factor -o*j**2 + 0 + 12/23*j + 2/23*j**3.
2*j*(j - 3)*(j - 2)/23
Let d = 24901/50 - 498. Let o(f) be the second derivative of -5*f - 1/30*f**4 + 0 + 0*f**2 + 0*f**3 + d*f**5. Factor o(z).
2*z**2*(z - 1)/5
Let m = -856 + 861. Let h(f) be the first derivative of 16/15*f**3 - 1/30*f**6 + 6/25*f**m - 7/10*f**4 + 3 - 9/10*f**2 + 2/5*f. Let h(p) = 0. Calculate p.
1, 2
Let h = -2202 + 19822/9. Factor h + 26/9*d - 10/3*d**2.
-2*(d - 1)*(15*d + 2)/9
What is q in 16*q + 18*q**2 + 19*q - 13*q**2 - 35*q**3 - 5*q**4 = 0?
-7, -1, 0, 1
Let g = 13590 + -67942/5. Let -g + 42/5*j - 8/5*j**4 + 48/5*j**3 - 74/5*j**2 = 0. Calculate j.
1/2, 1, 4
Let k(i) be the third derivative of 1/245*i**7 - 1/784*i**8 + 0*i**3 + 16*i**2 + 0*i**5 + 0*i + 0*i**4 + 0*i**6 + 0. Factor k(x).
-3*x**4*(x - 2)/7
Let z(k) be the first derivative of -2*k**3/21 - 11*k**2/7 - 48*k/7 + 549. Suppose z(w) = 0. Calculate w.
-8, -3
Let v(j) be the first derivative of -2*j**6/3 + 28*j**5/5 - 12*j**4 - 16*j**3/3 + 32*j**2 - 141. What is w in v(w) = 0?
-1, 0, 2, 4
Let a(p) be the third derivative of -p**3 + 1/2*p**5 - 25*p**2 + 0*p - 2/3*p**4 - 1/15*p**6 + 0. Determine m, given that a(m) = 0.
-1/4, 1, 3
Let d be 81/(-189)*2*5/(-15). Factor 0*c**2 - 6/7*c + d*c**3 + 4/7.
2*(c - 1)**2*(c + 2)/7
Factor -1/2*l**3 + 7/2*l**2 + 4 - 7*l.
-(l - 4)*(l - 2)*(l - 1)/2
Let t(a) be the third derivative of -a**6/180 - 8*a**5/45 + 35*a**4/36 - 2*a**3 - a**2 - 2. Factor t(q).
-2*(q - 1)**2*(q + 18)/3
Let q(d) be the second derivative of -d**4/5 - 43*d**3/10 + 33*d**2/10 + 334*d. Solve q(b) = 0.
-11, 1/4
Let q(r) = r**3 - 8*r**2 - 7*r - 11. Let i be q(9). Let g = 9 - i. Factor 2*n**g + n**2 + 8*n - 2*n - 3*n**3.
-3*n*(n - 2)*(n + 1)
Let w = 58 - 58. Let b be ((-92)/16 + 5)*(w - 4). Let -4/3 - 4*i + 4*i**3 - 5/3*i**2 + b*i**4 = 0. Calculate i.
-1, -2/3, 1
Let m = -5 + 5. Suppose -3*j = -m*j. Suppose 0*f**3 + 2*f**4 - 2*f**2 + f + 0*f**5 + j*f**3 - f**5 = 0. Calculate f.
-1, 0, 1
Let a = 14 - 14. Suppose a = 9*h - 3*h - 18. Factor h*o - 5*o - 2*o**2 + 5*o + 6 - o**2.
-3*(o - 2)*(o + 1)
Let y(b) be the third derivative of b**7/210 - 3*b**6/40 + 2*b**5/5 - 5*b**4/6 - 6*b**2 + 3*b. Solve y(i) = 0 for i.
0, 2, 5
Let t(m) be the first derivative of 64*m**5/5 - 104*m**4 + 44*m**3 + 198*m**2 - 216*m - 286. Determine k so that t(k) = 0.
-1, 3/4, 6
Let z(n) = n**3 + 6*n**2 - 9*n - 8. Let w be z(-7). Suppose -5*q = -2*q - w. Factor -3*y**2 - 4*y**4 + 7*y**q - y**5 - y**5 + 2*y.
-2*y*(y - 1)*(y + 1)**3
Let n be ((-159)/424)/(2/(-16)). Factor 21/2*r**4 + 9/2 + 39/2*r + 33*r**2 + 27*r**n + 3/2*r**5.
3*(r + 1)**4*(r + 3)/2
Determine x so that 0 + 2/11*x**4 + 0*x**2 - 4/11*x**3 + 0*x + 2/11*x**5 = 0.
-2, 0, 1
Suppose w = 13 - 13. Let l(u) be the second derivative of 3*u - 1/100*u**5 + w*u**3 + 0 + 0*u**2 + 1/60*u**4. Factor l(v).
-v**2*(v - 1)/5
Let d(g) = g**2 - 202*g - 3671. Let i(n) = 6*n**2 - 1008*n - 18354. Let l(j) = 21*d(j) - 4*i(j). Factor l(f).
-3*(f + 35)**2
Let s be ((-12)/(-7))/(60*21/2646). Let 12/5 + s*z**2 + 27/5*z + 3/5*z**3 = 0. Calculate z.
-4, -1
Let o = -3125/4 - -782. Let x(h) be the first derivative of -7 + 0*h - o*h**4 + 0*h**2 + 1/2*h**6 - h**3 + 3/5*h**5. Factor x(c).
3*c**2*(c - 1)*(c + 1)**2
Let b be 1 - (12 - 2 - -2). Let j(x) = x + 13. Let t be j(b). Factor -2*a**t + 19*a**2 + 5*a**2 + 8*a - 2*a**2.
4*a*(5*a + 2)
Factor 2/7*x**5 + 0*x + 2/7*x**4 + 0 + 0*x**2 + 0*x**3.
2*x**4*(x + 1)/7
Let x = -24 + 44. Let -8*