 Let y(p) = t*b(p) + 4*d(p). Let y(x) = 0. Calculate x.
0, 1
Let c = 1 - 5/6. Let a(k) be the second derivative of -1/15*k**6 + 0*k**3 + 1/21*k**7 + 0 + 0*k**2 + c*k**4 + k - 1/10*k**5. Factor a(q).
2*q**2*(q - 1)**2*(q + 1)
Let w(u) be the first derivative of 2*u**3/45 + 11*u**2/5 - 851. Factor w(k).
2*k*(k + 33)/15
Let d(i) be the third derivative of -i**6/120 + 11*i**5/60 + i**4/24 - 11*i**3/6 - 219*i**2. Let d(w) = 0. What is w?
-1, 1, 11
Determine d, given that 65/2*d**2 + 115/2*d**4 - 135/2*d**3 - 5*d + 0 - 35/2*d**5 = 0.
0, 2/7, 1
Suppose 3*f - 124 = -f. Let p be (f - 30)*(1 - -1). What is n in -38/7*n**4 - 8/7 + 16/7*n - 2*n**5 - 2/7*n**3 + 46/7*n**p = 0?
-2, -1, 2/7, 1
Suppose 0 = -4*s + 82 - 34. Suppose -4*m - 3*m**3 + 4*m - 12*m**5 - s*m**4 + 18*m**2 + 9*m**5 = 0. Calculate m.
-3, -2, 0, 1
Solve 0 + 2/5*w**2 + 12/5*w**3 - 2/5*w**4 - 12/5*w = 0.
-1, 0, 1, 6
Suppose -x + 0*x = -3. Let c(o) = -o**3 - 30*o**2 - 55*o + 30. Let y be c(-28). Let 5*b + 3*b - 27*b**y + 14*b**4 - 5*b**2 + 4*b**3 + 6*b**x = 0. What is b?
-2, 0, 2/7, 1
Let l(g) be the second derivative of -1/48*g**4 + 1/24*g**3 - g + 0 + 0*g**2. Factor l(o).
-o*(o - 1)/4
Determine n so that -1/4*n**2 - n - 1 = 0.
-2
Let a = -45725 - -45730. Factor 0 + 3/4*o**a + 3/4*o**4 + 9/4*o**2 + 0*o - 15/4*o**3.
3*o**2*(o - 1)**2*(o + 3)/4
Let u(z) be the second derivative of 3*z**5/80 + 45*z**4/16 + 675*z**3/8 + 10125*z**2/8 - 21*z. Factor u(s).
3*(s + 15)**3/4
Let j(n) be the second derivative of -5/2*n**2 - 5/12*n**4 - 7*n + 0 - 5/3*n**3. Factor j(s).
-5*(s + 1)**2
Determine d so that 0*d**2 + 85*d - 40 + 2*d**2 - 27*d - 13*d - 29*d = 0.
-10, 2
Let o be 1*2 + (-9 - -19). Let m be (-5)/(8/o + -1). Solve 15 + l**2 - 12*l + l**2 - 12 + m = 0.
3
Let q(j) be the third derivative of -j**5/15 + 13*j**4/3 - 338*j**3/3 + 18*j**2. Factor q(k).
-4*(k - 13)**2
Let z(t) be the first derivative of -t**3 - 9 + 19*t - 15*t**2 - 79*t - 15*t. Factor z(m).
-3*(m + 5)**2
Let m(y) be the second derivative of 3*y**5/20 + 193*y**4/48 - 185*y**3/24 + 17*y**2/4 + 124*y. Factor m(a).
(a + 17)*(3*a - 2)*(4*a - 1)/4
Let c(g) = -4*g + 14. Let q be c(3). Factor -3*x**5 + 5*x - 1 - 2*x**3 + 5*x**2 - 7*x**4 + 2 + x**q.
-(x - 1)*(x + 1)**3*(3*x + 1)
Let d(q) be the second derivative of -q**5/16 - 7*q**4/3 - 649*q**3/24 - 121*q**2/4 + 49*q - 1. Determine n so that d(n) = 0.
-11, -2/5
Let r be (-46)/(-32) + 234/3744. What is o in -r + 3/4*o + 3/4*o**2 = 0?
-2, 1
Suppose -7*y - 154 - 1218 = 0. Let d = y + 785/4. Solve -5/4*p - 1/2 + d*p**4 - 3/4*p**2 + 1/4*p**3 = 0.
-1, 2
Let f(t) be the third derivative of -t**6/30 + 231*t**5/5 - 53361*t**4/2 + 8217594*t**3 + 29*t**2. Factor f(d).
-4*(d - 231)**3
Let i(r) be the third derivative of 5*r**8/336 - 2*r**7/21 - r**6/8 + 7*r**5/6 - 5*r**4/3 - 270*r**2. Factor i(a).
5*a*(a - 4)*(a - 1)**2*(a + 2)
Let s be (2/(-10))/((-4)/(-40)*2/(-4)). Factor 0 - 10/3*b**3 - 26/3*b**2 + s*b.
-2*b*(b + 3)*(5*b - 2)/3
Let n(g) be the third derivative of g**6/40 + 4*g**5/5 + 77*g**4/8 + 49*g**3 + 349*g**2. Determine d so that n(d) = 0.
-7, -2
Let b be -5 - 266/(-3)*21*4/504. Factor 34/9*a**2 + 10/9*a**3 - 40/9 - b*a.
2*(a - 2)*(a + 5)*(5*a + 2)/9
Let p(v) = -15 - 14 - v**2 - 6*v + 47. Let k be p(-8). What is s in -2/5*s**3 + 2/5*s + 0*s**k + 0 = 0?
-1, 0, 1
Let u(k) be the first derivative of 12 + 1/10*k**6 + 0*k - 3/20*k**4 + 3/25*k**5 + 0*k**2 - 1/5*k**3. Determine s so that u(s) = 0.
-1, 0, 1
Let z(p) be the third derivative of p**5/15 + 158*p**4/3 + 49928*p**3/3 + 202*p**2. Let z(h) = 0. Calculate h.
-158
Let m(r) be the second derivative of -1/18*r**4 + 0*r**2 + 1/36*r**6 - 1/180*r**5 + 0 + 4*r + 5/6*r**3. Let i(z) be the second derivative of m(z). Factor i(v).
2*(3*v + 1)*(5*v - 2)/3
Suppose -24 - 2 = -13*f. Let r(a) be the third derivative of 2*a**f - 1/24*a**4 - 1/24*a**3 - 1/120*a**6 + 0 + 0*a - 1/40*a**5 - 1/840*a**7. Factor r(m).
-(m + 1)**4/4
Let t(u) be the third derivative of 35*u**6/48 - u**5/12 - 175*u**4/48 + 5*u**3/6 - 5*u**2 - 24*u. Factor t(l).
5*(l - 1)*(l + 1)*(35*l - 2)/2
Let i(o) be the first derivative of o**5/120 + o**4/24 - o**3/4 + 3*o**2 + 13. Let y(r) be the second derivative of i(r). What is p in y(p) = 0?
-3, 1
Let f(k) be the second derivative of -1/120*k**5 - 18*k + 0*k**3 + 0*k**2 + 0 - 1/72*k**4. Factor f(j).
-j**2*(j + 1)/6
Let k = -74 + 77. Factor -4 + 13*s**3 + 32*s**2 + 14*s**5 + 40*s**k + 15*s**3 + 52*s**4 - 2*s.
2*(s + 1)**4*(7*s - 2)
Let g = -210908 + 1900562/9. Let d = 266 - g. Factor d*s - 2/9*s**2 - 2/9.
-2*(s - 1)**2/9
Suppose 3*z + w + 1 - 17 = 0, -z + 16 = 3*w. Let b(h) be the third derivative of 0 + 1/6*h**3 - 6*h**2 - 7/48*h**z + 0*h + 1/24*h**5. Factor b(o).
(o - 1)*(5*o - 2)/2
Let u = 34 - 30. Suppose 4*n**5 - 3*n**3 - 6*n**3 + 32*n + 4*n**u - 4*n**2 - 5*n**3 - 16 - 6*n**3 = 0. Calculate n.
-2, 1
Suppose 4*m + 4*u + 124 = -0*u, 5*m - 3*u + 131 = 0. Let q = 29 + m. Factor 32*c**3 + 0 - 33*c**3 - q - 3*c**2 - 3*c.
-(c + 1)**3
Let s(o) = -20*o**3 + 34*o**2 - 6. Let h(i) = -19*i**3 + 35*i**2 + i - 5. Let d(c) = -6*h(c) + 5*s(c). Let d(m) = 0. Calculate m.
-1/7, 0, 3
Let f(n) be the third derivative of n**7/105 - n**6/10 - 4*n**5/15 + n**4/2 + 7*n**3/3 + 2*n**2 + 33*n. Factor f(p).
2*(p - 7)*(p - 1)*(p + 1)**2
Suppose n = 8 + 5. Suppose 3 = -5*z + n. Factor 3*g**3 - 7*g + 24 + 9*g**2 + 27*g + 9*g**z + 16*g.
3*(g + 2)**3
Let w be (315/49 - 7)*-7. Let q(u) be the third derivative of 0*u**w + 0 + 1/3*u**3 + 0*u - 2*u**2 - 1/30*u**5. Determine s so that q(s) = 0.
-1, 1
Suppose 40 = -106*k + 252. Find t, given that -8/3 - 2/3*t**k - 10/3*t = 0.
-4, -1
Let z be (-22)/(-8) - (-2)/8. Let i = -332 - -334. Factor -i + 6*g + g**2 - z*g + 1 + 3.
(g + 1)*(g + 2)
Let z(f) = 8*f**2 - 8*f. Let h(g) = 6*g**2 + g**2 - 163*g + 155*g. Let n(s) = 4*h(s) - 3*z(s). Determine a, given that n(a) = 0.
0, 2
Suppose 80 = 66*u - 46*u. Let a be (-6)/(-27) + 32/18. Find j such that -1/3*j**a + 1/3*j**u + 0 + 0*j - 1/3*j**5 + 1/3*j**3 = 0.
-1, 0, 1
Let o(k) = -k**3 + 8*k**2 - 3*k - 28. Let g be o(7). Let u(r) be the second derivative of g - r**2 - 2/3*r**4 - 6*r - 5/3*r**3. Suppose u(d) = 0. Calculate d.
-1, -1/4
Let t(x) be the third derivative of x**8/84 + 2*x**7/35 - 3*x**6/10 + x**5/3 - 44*x**2. Factor t(u).
4*u**2*(u - 1)**2*(u + 5)
Let i be ((-728)/(-156))/(2/3). Let m(s) be the first derivative of 0*s - s**3 + 3*s**2 - 5/2*s**6 + i + 39/5*s**5 - 27/4*s**4. Solve m(f) = 0 for f.
-2/5, 0, 1
Let t(m) be the second derivative of 16*m**6/15 - 7*m**5/5 - m**4/3 - 361*m. Suppose t(f) = 0. What is f?
-1/8, 0, 1
Suppose 4*h - 4*w + 5*w = -8, -4*h + 4*w = 8. Let r(o) = -o - 1. Let n be r(h). Factor 3 - n - 1 + 1 - 2*c**2.
-2*(c - 1)*(c + 1)
Let t(u) = -7*u**3 + 13*u**2 + 108*u - 402. Let k(y) = 15*y**3 - 25*y**2 - 210*y + 805. Let a(c) = -2*k(c) - 5*t(c). Let a(z) = 0. What is z?
-5, 4
Determine s so that -1/4*s**4 + 0 + 3*s**2 - 4*s + 0*s**3 = 0.
-4, 0, 2
Let p(b) be the first derivative of -b**7/490 - b**6/70 - b**5/28 - b**4/28 + 3*b**2 + 11. Let r(c) be the second derivative of p(c). Find y such that r(y) = 0.
-2, -1, 0
Let c be (0 + -1)*(-9 - 2). Let s = c + -7. Factor 0*h**2 - 4*h**4 + 6*h**2 + 0*h**4 - 27 + 36*h + h**s - 12*h**3.
-3*(h - 1)**2*(h + 3)**2
Let u(m) be the first derivative of m**4/2 - 2*m**3/3 - 400. Factor u(a).
2*a**2*(a - 1)
Let q be (15/60)/((-2)/(-32)). Let y be ((-8)/6)/(q/(-9)). Factor 3/4*u**y - 3/4*u**2 + 0*u + 0.
3*u**2*(u - 1)/4
Suppose -m = 2*h, -11*h = 2*m - 10*h. Let p(d) be the first derivative of -3/4*d**4 + 4/3*d**3 - 1/2*d**2 + 10 + m*d. Factor p(u).
-u*(u - 1)*(3*u - 1)
Let m(p) = 2*p**3 - 20*p**2 + 46*p - 16. Let d(j) = j**2 + j + 1. Let l(u) = 4*d(u) - m(u). Solve l(s) = 0.
1, 10
Let o be (-3)/(-21)*-9*(16 + (-2736)/162). Let 0 + o*a**4 + 18/7*a**3 + 4/7*a**2 + 0*a = 0. What is a?
-2, -1/4, 0
Suppose 4*j - 9*j + 1610 = 0. Factor 97*m + 73 + 138 - j*m - 3*m**3 + 164 + 45*m**2.
-3*(m - 5)**3
Let m(p) = p**2 - 11*p + 22. Let q be m(5). Let c = q - -11. Suppose 21/2*n**4 + 3*n**2 - 27/2*n**c + 0 + 0*n = 0. Calculate n.
0, 2/7, 1
Let d(w) = -2*w**2 + 22*w - 6. Let b(l) = -l**2 + 21*l - 5. Let v = -18 - -12. Let j(g) = v*b(g) + 5*d(g). Determine p, given that j(p) = 0.
-4, 0
Let t(m) be the third derivative of 1/480*m**6 + 1/80*m**5 + 0 - 1/6*m