2*l**4 - 45/2*l + 5/6*l**3 - 45*l**2 + 34. Find d such that s(d) = 0.
-3, -1/4, 3
Let j(a) = 2*a**3 + 23*a**2 + 9*a - 32. Let h be j(-13). Let m = -656 - h. Factor 0*q - 4/5*q**2 + 2/5*q**4 + m + 2/5*q**3.
2*q**2*(q - 1)*(q + 2)/5
Suppose -1184*k + 1187*k = 15. Factor 2*p**k - 2*p**3 - 8 - 151*p**4 + 0*p**3 - 24*p + 157*p**4 - 22*p**2.
2*(p - 2)*(p + 1)**3*(p + 2)
Suppose 2*j + 5*m = 10, j - 2*j - 5*m = -5. Let h be (3/12)/(j/60). Determine u, given that -u**4 + 2*u + 0*u**2 + u**h - 4*u**3 + u**3 + u**2 = 0.
-2, -1, 0, 1
Let h(s) be the second derivative of -5/42*s**7 + 1/2*s**5 + 0*s**2 - 5/6*s**3 - s + 0*s**6 + 0*s**4 + 2. Find o such that h(o) = 0.
-1, 0, 1
Factor -5*f**2 + 4*f**2 - 149 - 40*f + 41 + f.
-(f + 3)*(f + 36)
Let n be (-6)/(-8)*(-9472)/(-192). Factor 9*z**2 + 7*z**2 + 10*z - z**3 + n*z**3 + 16*z**4 + 16*z**2 + 2*z**5.
2*z*(z + 1)**3*(z + 5)
Solve -1/6*g**2 + g + 80/3 = 0 for g.
-10, 16
Let y be 31/6 - ((-352)/(-33) - 10). Suppose 4*u + 19*v - 45 = 14*v, 0 = 4*u - v - 15. Factor -9/2*x**4 + 0 - 3/2*x**u - y*x**3 - 3/2*x**2 + 0*x.
-3*x**2*(x + 1)**3/2
Let j be 1326/(442/13) - 39. Factor j*o**2 + 0*o + 2/7*o**3 + 10/7*o**4 + 8/7*o**5 + 0.
2*o**3*(o + 1)*(4*o + 1)/7
Let s(h) = -h + 10. Let z be s(5). Suppose -v + 4*d + 11 = 0, v = -2*d + 409 - 410. Determine j so that -4 + 4 + 0*j**4 + z*j**5 + 5*j**v - 10*j**4 = 0.
0, 1
Suppose 0 = -9*f + 15 + 21. Determine c so that 2*c**f + 9*c**2 - 4*c**3 + 14*c**3 - c**2 = 0.
-4, -1, 0
Factor 45*s**4 - 8*s**5 - 105*s**3 - 2777*s**2 + 2832*s**2 + 13*s**5.
5*s**2*(s - 1)**2*(s + 11)
Let i(p) be the second derivative of p**5/50 - 23*p**4/30 + 57*p**3/5 - 81*p**2 + 13*p + 153. Factor i(z).
2*(z - 9)**2*(z - 5)/5
Factor -124/5*a**3 - 3969/5 - 3718/5*a**2 + 7812/5*a - 1/5*a**4.
-(a - 1)**2*(a + 63)**2/5
Suppose 4*u - 176 = 3*r, -3*u - 5*r = -0*r - 132. Suppose -32 = 4*v - u. Let 8*n + 4*n**2 - 609*n**3 + 8*n**2 + 613*n**v = 0. Calculate n.
-2, -1, 0
Let u(g) be the second derivative of -470/3*g**3 - g + 52 + 300*g**2 + 1/6*g**6 + 85/2*g**4 - 21/4*g**5. Factor u(c).
5*(c - 15)*(c - 2)**3
Let f(n) = -47*n**2 + 47*n + 5. Let y be f(5). Let q = y - -2810/3. Factor 2*g + 1/3*g**3 + 0 - q*g**2.
g*(g - 3)*(g - 2)/3
Let d(j) be the first derivative of 0*j**2 + 93 + 1/20*j**5 - 1/24*j**6 + 5/8*j**4 + 0*j + 2/3*j**3. Let d(v) = 0. Calculate v.
-2, -1, 0, 4
Let i = 357 + -355. Factor -11*x - 12413*x**3 + 96 - 4*x**4 + 12449*x**3 - 72*x**i - 5*x.
-4*(x - 6)*(x - 2)**2*(x + 1)
Let p(c) be the first derivative of c**4/42 - 11*c**3/21 + 18*c**2/7 - 53*c + 33. Let w(z) be the first derivative of p(z). Factor w(q).
2*(q - 9)*(q - 2)/7
Suppose -73 - 1 = -53*o + 32. Let s(m) be the first derivative of -7*m**o + 2/5*m**5 - 13 + 6*m**3 - 5/2*m**4 + 4*m. What is y in s(y) = 0?
1, 2
Let c(j) = -2*j - 28. Let m be c(-16). Suppose -7 - 1 = -m*x. Let 0*a**3 - x*a**3 - 3*a**3 + 2 + a + 4*a**3 - 2*a**2 = 0. Calculate a.
-2, -1, 1
Suppose 400/3 + 2/3*a**4 - 8/3*a**3 - 18*a**2 + 140/3*a = 0. What is a?
-4, -2, 5
Let p = 61095 - 61092. Find f such that 1/8*f**4 - 9/8*f**p - 11/8*f + 0 - 21/8*f**2 = 0.
-1, 0, 11
Suppose x = -11 + 15. Factor 2*w**4 - 1251*w**5 - w**4 - 2*w**3 + 7*w**x + 1253*w**5 - 8*w**2.
2*w**2*(w - 1)*(w + 1)*(w + 4)
Let d = 281063 + -562123/2. Factor d*l - 9 + 3/2*l**2.
3*(l - 2)*(l + 3)/2
Let t(v) = -157*v**2 - 91*v - 1. Let b be t(-4). Let o = -23633/11 - b. Suppose o*d + 6/11*d**2 - 12/11 = 0. What is d?
-2, 1
Let o(m) be the second derivative of 0*m**4 + 0*m**3 - 1/195*m**6 + 0 - 1/65*m**5 + 65*m + 0*m**2 + 1/273*m**7. Suppose o(u) = 0. Calculate u.
-1, 0, 2
Let v(x) be the second derivative of 5*x**7/42 + 83*x**6/120 + 33*x**5/20 + 49*x**4/24 + 4*x**3/3 + 3*x**2/8 - 188*x. Factor v(r).
(r + 1)**4*(20*r + 3)/4
Let o(k) be the first derivative of 16875*k**4/7 + 600*k**3/7 + 8*k**2/7 + 157*k + 142. Let b(v) be the first derivative of o(v). Solve b(x) = 0.
-2/225
Let m(l) be the second derivative of 0*l**2 - 1/15*l**6 + 0*l**5 + 1/2*l**4 - 12 + l + 2/3*l**3. Factor m(w).
-2*w*(w - 2)*(w + 1)**2
Let p be 2/14 - (-11)/1155*-15. Let v(j) be the second derivative of 5/12*j**4 - 5/3*j**3 + 0*j**2 + p + 1/4*j**5 - 12*j. Factor v(i).
5*i*(i - 1)*(i + 2)
Let c = -239219/6 + 39870. Suppose 20/3*u + 200/3 + c*u**2 = 0. What is u?
-20
Suppose -30 = 94*w - 104*w. Factor 16*b**w + 4*b**3 + 38*b**2 + 10*b - 13*b**2 + 5*b**4.
5*b*(b + 1)**2*(b + 2)
Suppose 30 = 2*g + 8*g. Suppose 4*n - s - s - 8 = 0, -g*s = 0. Factor 3*m**2 - 4*m**2 + 15*m + n*m**2 - 4*m**2 - 12.
-3*(m - 4)*(m - 1)
Let p(h) be the third derivative of -7*h**6/120 + 391*h**5/15 - 665*h**4/24 - 446*h**3/3 - 1133*h**2. Factor p(m).
-(m - 223)*(m - 1)*(7*m + 4)
Factor 27*z**3 - 8*z**2 - 58*z**3 + 48*z + 3*z**4 + 26*z**3 - 2*z**4.
z*(z - 4)**2*(z + 3)
Let v(s) be the second derivative of -13/8*s**2 + 9/8*s**3 + 1/80*s**5 - 5/16*s**4 - 3 + 2*s. Find p, given that v(p) = 0.
1, 13
Let n be (-8)/(-10)*905/2896. Let t(i) be the third derivative of 0*i - 2/15*i**5 - 1/60*i**6 + 0 - 11*i**2 - n*i**3 - 13/48*i**4. Factor t(w).
-(w + 3)*(2*w + 1)**2/2
Let p = 4498/31 - 8903/62. Factor 1/2*u**2 - 5/2*u + 1/2*u**3 + p.
(u - 1)**2*(u + 3)/2
Solve -5*r**4 + 952 - 2759*r - 436*r**2 + r**4 + 1499*r - 128*r**2 + 1544*r + 100*r**3 = 0 for r.
-1, 2, 7, 17
Let r(o) = 10*o**4 - 25*o**3 - 27*o**2 + 49*o. Let h(s) = s**4 - s**3 + s. Let y(w) = 7*h(w) - r(w). Solve y(c) = 0 for c.
-2, 0, 1, 7
Suppose -114 = 11*g + 513. Let s be (-19)/(-20) + g/76. Find y, given that 0 - 2/5*y - s*y**4 + 2/5*y**3 + 1/5*y**2 = 0.
-1, 0, 1, 2
Solve 36*d + 94*d - 30*d + 416*d**3 + 530*d**4 - 626*d**3 + 240*d**2 - 45*d**5 - 615*d**3 = 0.
-2/9, 0, 1, 10
Suppose -28*v + 95 = -9*v. Suppose 0 = -2*h - 4*n, -h - 2*h + 11 = -v*n. Find j such that 6/5 - 3/5*j - 3/5*j**h = 0.
-2, 1
Let z(l) = 2*l**2 - 10*l - 8. Suppose -u - 36 = -7*u. Let c be z(u). Let -5*x**5 - 104*x**4 + 102*x**c + 4*x**5 - x**3 = 0. Calculate x.
-1, 0
Let h(m) be the third derivative of 62*m**2 + 0*m**3 + 0*m + 0 + 1/330*m**6 + 0*m**7 - 1/1848*m**8 + 0*m**5 - 1/132*m**4. Factor h(x).
-2*x*(x - 1)**2*(x + 1)**2/11
Suppose -3*p + 15 = -8*q + 11*q, 0 = p + 5*q - 1. Let x be 6/(-4)*p/(-27). Find k, given that x*k**3 + 0*k + 0 - 1/3*k**2 = 0.
0, 1
Let l(b) be the second derivative of b**4/3 + 10*b**3/3 - 12*b**2 + 1305*b - 2. Factor l(j).
4*(j - 1)*(j + 6)
Let z(i) be the first derivative of i**3/2 - 27*i**2 - 1215*i/2 - 6530. Let z(d) = 0. What is d?
-9, 45
Suppose 2*u + 5*m = 9, -5*m + 0 = -5. Factor 4*h**2 - 117*h - h**2 - u + 112*h.
(h - 2)*(3*h + 1)
Let k(r) be the first derivative of 81 + 3*r**3 + 27/2*r**2 + 15*r - 3/4*r**4. Determine o so that k(o) = 0.
-1, 5
Let o(d) be the second derivative of -d**6/540 - 2*d**5/45 + 5*d**4/9 + 41*d**3/6 - 177*d. Let h(t) be the second derivative of o(t). Find m such that h(m) = 0.
-10, 2
Let n(d) be the second derivative of d**8/8400 - d**3/3 + 53*d**2/2 - 33*d - 2. Let q(f) be the second derivative of n(f). Let q(w) = 0. What is w?
0
Let u(b) be the third derivative of b**8/672 - 23*b**7/420 - 7*b**6/16 - 27*b**5/40 - 4901*b**2. Let u(o) = 0. Calculate o.
-3, -1, 0, 27
Let q be 5/(1710/14823) + (-42)/(-266). Solve -q*s + 45 - 3/2*s**2 = 0 for s.
-30, 1
Let y(i) = -6*i**3 + i**2. Let a(x) = -x**3 - 8*x**2 - 3*x + 33. Let f be a(-7). Let z(v) = -v**3. Let b(d) = f*z(d) - y(d). Suppose b(t) = 0. What is t?
0, 1
Let w = -30455/38 + 15313/19. Find r such that 3/2*r + w*r**2 + 0 = 0.
-1/3, 0
Solve -544/5*q**2 - 128/5*q - 104/5*q**4 + 0 - 514/5*q**3 - 6/5*q**5 = 0.
-8, -1, -1/3, 0
Let n(y) be the first derivative of -8 + 11/2*y**2 + 0*y**3 - 1/600*y**6 + 0*y**4 + 0*y + 1/300*y**5. Let s(m) be the second derivative of n(m). Factor s(o).
-o**2*(o - 1)/5
Let u = 64679/86236 + -1/43118. Let n(l) be the second derivative of -3/160*l**5 + 0 - u*l**3 + 3/2*l**2 - 34*l + 3/16*l**4. Factor n(d).
-3*(d - 2)**3/8
Let z = 1730 - 1728. Let u(t) be the third derivative of 0*t**3 + 0*t**5 + 1/140*t**6 + 9*t**z + 0*t + 0 + 0*t**4 - 1/735*t**7. Factor u(p).
-2*p**3*(p - 3)/7
Suppose 0 = -150928*n + 150908*n + 10 + 70. What is w in w - 2/3 + 1/3*w**2 - w**3 + 1/3*w**n = 0?
-1, 1, 2
Let t(p) be the first derivative of 9*p**5 + 115*p**4 - 485*p**3/3 - 560*p**2 - 220*p + 1918. What is f in t(f) = 0?
-11, -1, -2/9, 2
Let b(w) = 