4/48 - 5*m**3/2 + 758*m**2. Factor c(b).
-(b - 3)**2*(b + 2)*(b + 5)/6
Let r(j) be the first derivative of 12*j + 1/2*j**6 + 25*j**3 + 24*j**2 - 27 + 21/5*j**5 + 57/4*j**4. Let r(i) = 0. What is i?
-2, -1
Let g(m) be the third derivative of -m**6/54 - m**5/5 + 4*m**4/9 - 13*m**3/6 - 20*m**2. Let b(d) be the first derivative of g(d). Factor b(q).
-4*(q + 4)*(5*q - 2)/3
Let c(b) be the first derivative of b**6/24 - 11*b**5/20 + 9*b**4/8 + b**3/6 - 19*b**2/8 + 9*b/4 + 85. Factor c(p).
(p - 9)*(p - 1)**3*(p + 1)/4
Let j(u) be the first derivative of -3*u**4/4 + u**3 + 36*u**2 + 108*u + 132. Determine o, given that j(o) = 0.
-3, -2, 6
Let z(h) be the second derivative of 1/120*h**6 - 3*h + 3/8*h**4 + 0 + h**2 - 7/80*h**5 - 5/6*h**3. Factor z(x).
(x - 2)**3*(x - 1)/4
Factor 1/5*m**2 - 159/5*m - 32.
(m - 160)*(m + 1)/5
Let d(c) be the third derivative of 15*c**2 - 1/12*c**5 + 0*c + 5/6*c**4 + 0 + 0*c**3. Find m, given that d(m) = 0.
0, 4
Determine s, given that -3/2*s**2 + 15/2 + 1/2*s**3 - 13/2*s = 0.
-3, 1, 5
Let b(x) be the second derivative of -x**4/6 - 4*x**3 - 8*x + 3. Factor b(j).
-2*j*(j + 12)
Let y(u) be the first derivative of 1/5*u**2 + 0*u + 2/25*u**5 - 2/15*u**3 - 1/10*u**4 - 8. Factor y(g).
2*g*(g - 1)**2*(g + 1)/5
Factor 1 + 7*j**3 - 6 - 6*j**2 - 5 + 18*j + j**3 - 10*j**3.
-2*(j - 1)**2*(j + 5)
Find m, given that 2/7*m**3 - 40/7 - 18/7*m**2 + 48/7*m = 0.
2, 5
Let q(u) = -5*u**3 + 6*u**2 - u + 6. Let i(o) = -19*o**3 + 22*o**2 - 4*o + 24. Let p(v) = -6*i(v) + 23*q(v). Factor p(j).
-(j - 6)*(j - 1)*(j + 1)
Suppose -12 = 2*d - 4*d + 2*w, -5*w + 15 = 4*d. Solve 10*i**3 - 4*i - 4*i**3 + 5*i**2 + d*i**2 = 0.
-2, 0, 1/3
Let m(f) be the second derivative of -f**6/6 - 5*f**5/4 - 25*f**4/12 + 25*f**3/6 + 15*f**2 + 4*f + 7. Solve m(q) = 0 for q.
-3, -2, -1, 1
Let y(n) be the second derivative of -1/7*n**3 + 0*n**2 + 0 - 9*n + 2/21*n**4 - 1/70*n**5. Find x such that y(x) = 0.
0, 1, 3
Let a(o) = -19*o**3 - 11*o**2 + 50*o + 69. Let j(v) = -9*v**3 - 6*v**2 + 25*v + 34. Let s(g) = -4*a(g) + 9*j(g). Find u such that s(u) = 0.
-3, -1, 2
Let x(i) be the second derivative of i**8/1344 - i**6/48 - i**5/12 + 25*i**4/12 + 8*i. Let z(g) be the third derivative of x(g). What is s in z(s) = 0?
-1, 2
Let q(y) = 16*y**3 - 13*y**2 - 77*y - 60. Let b(c) = 37*c**3 - 25*c**2 - 154*c - 120. Let a(v) = -6*b(v) + 14*q(v). Factor a(r).
2*(r - 20)*(r + 1)*(r + 3)
Let h(f) be the first derivative of 3*f**4/16 - 3*f**3/4 + 86. Let h(n) = 0. What is n?
0, 3
Let a(q) = 9*q. Let m be a(2). Let b(t) = -m*t**3 - 14*t**2 - 184*t + 190*t + 14 + 0. Let h(g) = g**3 + g**2 - 1. Let x(r) = b(r) + 12*h(r). Factor x(z).
-2*(z - 1)*(z + 1)*(3*z + 1)
Factor 28*h**2 + h - 8 - 19 - 1 - 5*h + 2*h + 2*h**3.
2*(h - 1)*(h + 1)*(h + 14)
Let l(f) = 23*f**2 - f + 1. Let p be l(1). Suppose 0*v = -2*y + 4*v + 18, -3*y = -4*v - p. Determine o so that -o**2 + y + 4*o**2 + 0*o**2 - 2 - 6*o = 0.
1
Factor 0 - 2*l - 12/5*l**2 - 2/5*l**3.
-2*l*(l + 1)*(l + 5)/5
Let q(d) be the third derivative of 1/300*d**5 + 0*d**3 + 10*d**2 + 0*d - 1/120*d**4 + 0. Let q(v) = 0. Calculate v.
0, 1
Let r(a) be the first derivative of -4/9*a**3 + 29 + 2*a**2 - 8/3*a. Find j, given that r(j) = 0.
1, 2
Let x be (-3)/(-10)*-2 + (-146)/(-10). Suppose x = 7*c - 7. Suppose 1/2 - 2*s**c + s - s**2 + 1/2*s**4 + s**5 = 0. What is s?
-1, -1/2, 1
Let f(g) be the first derivative of -4*g**3/21 + 52*g**2/7 - 676*g/7 + 148. Factor f(i).
-4*(i - 13)**2/7
Let a(x) = -13*x**2 + 149*x. Let r(g) = 19*g**2 - 223*g. Let c(f) = 7*a(f) + 5*r(f). Determine i, given that c(i) = 0.
0, 18
Let s(g) = -4 - 189*g - g**2 - 5*g**2 + 198*g + g**3. Let k be s(4). Suppose 0 + 3/4*n**3 + 0*n**4 + k*n**2 + 0*n - 3/4*n**5 = 0. What is n?
-1, 0, 1
Let m(j) be the third derivative of j**7/1470 - 31*j**6/840 + j**5/14 - 137*j**2. Factor m(d).
d**2*(d - 30)*(d - 1)/7
Let m(q) be the first derivative of -2/45*q**5 + 2/9*q**2 + 1 + 0*q + 2/9*q**4 - 10/27*q**3. Factor m(x).
-2*x*(x - 2)*(x - 1)**2/9
Suppose 4*x - 14 = 5*o, 5*x - 26 = 2*o - 0*x. Factor -32/15*k + 14/15*k**o + 8/5 - 2/15*k**3.
-2*(k - 3)*(k - 2)**2/15
Let s be (-24 - -24)*(-1)/2. Suppose 2*l + 3 - 9 = s. Factor -8/5 - 16/5*m - 2*m**2 - 2/5*m**l.
-2*(m + 1)*(m + 2)**2/5
Determine u so that -3/8*u**3 - 9/8*u - 15/8*u**2 + 3/8*u**4 + 0 = 0.
-1, 0, 3
Let h be (-5)/(-10) - 6/28. Let l = -2673 + 2678. Solve 0 + 2/7*m**l + 0*m - 2/7*m**3 + h*m**2 - 2/7*m**4 = 0.
-1, 0, 1
Let r be -4 - 0 - (29 + -21 + -14). Factor 16/17*l**4 + 26/17*l + 4/17 + 56/17*l**3 + 60/17*l**r.
2*(l + 2)*(2*l + 1)**3/17
Let v = -1495 - -1499. Solve 0 - 1/2*p**v + 0*p - 1/2*p**2 + p**3 = 0 for p.
0, 1
Let z(h) be the first derivative of h**4/15 + h**3/10 - h**2/10 - 11*h - 6. Let l(b) be the first derivative of z(b). Solve l(w) = 0.
-1, 1/4
Let s = -32 - -40. What is c in s*c**2 + c**2 - 933*c + 927*c = 0?
0, 2/3
Let d be (((-30)/20)/(-3))/(4 - 3). Factor d + 0*s - 1/2*s**2.
-(s - 1)*(s + 1)/2
Let g(d) be the second derivative of d**4/48 + d**3/12 - 3*d**2/8 + 16*d + 5. Factor g(i).
(i - 1)*(i + 3)/4
Let s(v) be the first derivative of v**4 + 10*v**3/3 - 4*v**2 + 6*v - 16. Let o(d) be the first derivative of s(d). Suppose o(q) = 0. Calculate q.
-2, 1/3
Solve 2136 + 5*r**4 + 1080*r**2 + 82*r**3 - 207*r**3 - 3520*r + 424 = 0 for r.
1, 8
Let b(i) = -70*i**3 + i**2 - 4*i - 1. Let u be b(-2). Factor 0*s**3 + 3*s + s**3 - 567*s**2 + u*s**2.
s*(s + 1)*(s + 3)
Let q(l) = 2*l**5 + 6*l**4 - 44*l**3 + 36*l**2 + 4. Let a(n) = 5*n**5 + 21*n**4 - 133*n**3 + 109*n**2 + 11. Let b(c) = -4*a(c) + 11*q(c). Factor b(x).
2*x**2*(x - 5)*(x - 2)**2
Suppose -5 = 5*b, 19*j - 18*j - 7 = b. Suppose -4*d + d = -9. Let -40*a**2 - 23*a - 15*a**d + 7*a - 11*a - j + 4*a**2 = 0. Calculate a.
-1, -2/5
Let p(m) be the third derivative of -m**7/105 + 11*m**6/60 - 7*m**5/6 + 25*m**4/12 + 142*m**2. Factor p(h).
-2*h*(h - 5)**2*(h - 1)
Suppose 4*o + 6 = -5*b, -3*b - 5*o = 14 - 0. Let c(d) = 37*d**3 - d**2 - d + 1. Let x be c(1). Find s, given that -2*s**2 - 4*s**b - x*s**3 - 2*s**2 = 0.
-2/9, 0
Let o(l) be the second derivative of 1/14*l**7 + 0*l**2 - l**3 - 9/20*l**5 - 5/4*l**4 + 9*l + 0 + 1/10*l**6. Factor o(a).
3*a*(a - 2)*(a + 1)**3
Let b(h) be the first derivative of h**3/6 - 111*h**2/4 + 55*h + 294. Factor b(s).
(s - 110)*(s - 1)/2
Suppose 3*j - 12*j = -18. Determine z so that -20*z**2 + z**3 - 2*z**3 - 3*z**3 + 12*z**j - 4*z = 0.
-1, 0
Let a(f) be the second derivative of 289*f**5/60 + 85*f**4/3 + 50*f**3 - 873*f. Solve a(q) = 0 for q.
-30/17, 0
Let q(a) = -3*a**2 + 3*a. Let b be 45/(-4) - (-10)/40. Let z = b - -14. Let y(r) = 4*r**2 - 3*r. Let l(g) = z*y(g) + 2*q(g). Factor l(v).
3*v*(2*v - 1)
Suppose 0 = -2*r - 5*c - 7, -3 = -2*c + 3*c. Let i(o) be the first derivative of 1/2*o**r - 2/3*o**3 - 2*o**2 + 0*o - 2. Let i(g) = 0. What is g?
-1, 0, 2
Suppose -3*d + 3*u - 6 = 0, d + 1 - 23 = -5*u. Let 27*y**d - 2*y**2 - 8*y**4 - 10*y - 20*y**3 - y**4 + 14*y**4 = 0. Calculate y.
0, 1, 2
Suppose 0*m + 3*m + 4*w - 12 = 0, -6 = 3*m - 2*w. Let l(t) = t + 2. Let i be l(m). Let 3*a - 7*a + 14*a**2 - i*a**3 - 6*a**3 - 2*a**3 = 0. What is a?
0, 2/5, 1
Let v(w) be the second derivative of -3/4*w**4 - 1/30*w**6 - w**2 + 7/6*w**3 - 23*w + 1/4*w**5 + 0. Determine c, given that v(c) = 0.
1, 2
Let o(u) be the third derivative of -1/6*u**4 - 1/35*u**7 + 0 + 0*u + 17/30*u**5 + 2/15*u**6 + 24*u**2 - 8/3*u**3. Determine r, given that o(r) = 0.
-1, 2/3, 4
Let y(z) be the third derivative of 12*z**2 + 0*z + 2/33*z**3 + 0 - 1/66*z**5 + 1/44*z**4. Factor y(v).
-2*(v - 1)*(5*v + 2)/11
Let u(m) be the third derivative of m**8/448 + 13*m**7/420 + m**6/30 + 65*m**2. Factor u(l).
l**3*(l + 8)*(3*l + 2)/4
Suppose -5*q + 22 = 4*i, 10*q = -i + 33 - 10. Solve 0*o + 2/5*o**q + 0 - o**3 - 1/5*o**5 + 4/5*o**4 = 0.
0, 1, 2
Suppose -12 + 3*f**3 + 37/3*f**2 - 3*f - 1/3*f**4 = 0. Calculate f.
-3, -1, 1, 12
Let d = -28 - -40. Suppose 0 = -5*p + 3*t + 4, -4*p - 4*t = -2*t - d. Find w, given that -3*w**3 - 6*w + 13/2*w**2 + p + 1/2*w**4 = 0.
1, 2
Let o(r) be the third derivative of 1/450*r**5 + 0 - 1/18*r**4 + 0*r - 8*r**2 + 0*r**3. Find f such that o(f) = 0.
0, 10
Let g(j) be the first derivative of -j**4/46 + 10*j**3/69 - 21. Factor g(s).
-2*s**2*(s - 5)/23
Find k, given that 3/5*k + 0 + 1/5*k**4 + 7/5*k**2 + k