*(v + 2)
Let d = 32/155 + 6/31. Let s(p) be the first derivative of 2/5*p**2 + 2/15*p**3 + d*p + 1. Factor s(j).
2*(j + 1)**2/5
Suppose 0 = 3*v + 5*k + 31, -4*k - 14 - 6 = 0. Let y be 6/3*(-5)/v. Let -1/2*x**2 - x + 1/2*x**4 + 5/2*x**3 - 3/2*x**y + 0 = 0. Calculate x.
-1, -2/3, 0, 1
Let z(x) be the third derivative of 3*x**7/70 - x**6/5 + x**5/20 + x**4 - 2*x**3 - 25*x**2. Find r such that z(r) = 0.
-1, 2/3, 1, 2
Suppose 4*x = 2*s + 360, -x + 124 = 3*s + 41. Suppose -804*d**2 + 108*d**5 - x*d**3 - 432*d**5 - 1331*d**3 - 16 - 192*d - 1116*d**4 = 0. What is d?
-1, -2/9
Let f(r) = -3*r**3 - 18*r**2 + 3*r. Let z(w) = -w**2 - 1. Let g(q) = -f(q) + 9*z(q). Determine t so that g(t) = 0.
-3, -1, 1
Let q(s) be the third derivative of -s**6/360 + s**5/120 - s**3/6 - 2*s**2. Let n(b) be the first derivative of q(b). Solve n(m) = 0 for m.
0, 1
Let r = 5456/7 + -778. Factor 0*v**2 + 0 + 0*v + r*v**4 + 6/7*v**5 + 4/7*v**3.
2*v**3*(v + 1)*(3*v + 2)/7
Let o = 45 - 45. Let h(f) be the first derivative of o*f**4 + 0*f + 0*f**2 - 1 - 1/33*f**6 + 0*f**3 + 0*f**5. Solve h(a) = 0 for a.
0
Suppose 0 + 1/3*k - 1/2*k**4 - 1/6*k**5 + 1/2*k**2 - 1/6*k**3 = 0. What is k?
-2, -1, 0, 1
Let c(m) be the second derivative of m**6/540 + m**5/36 + m**4/9 + m**3/2 - 3*m. Let y(h) be the second derivative of c(h). Factor y(b).
2*(b + 1)*(b + 4)/3
Let c = 1 - -4. Let o(i) = 7*i**3 - 3*i**2. Suppose m - 4*m = 2*k + 3, 3*m = 9. Let d(a) = 8*a**3 - 4*a**2. Let n(z) = c*d(z) + k*o(z). Factor n(u).
-2*u**2*(u + 1)
Let z be (2 + -2)*(-4 - 6/(-2)). Solve z + 0*u + 1/3*u**2 = 0 for u.
0
Let g(s) be the second derivative of s**4/48 - s**3/3 + 2*s**2 + 17*s. Factor g(f).
(f - 4)**2/4
Let z(a) be the third derivative of -a**5/12 + 5*a**4/8 - 5*a**3/3 - a**2. Solve z(y) = 0.
1, 2
Let z = 38 + -10. Let s = z + -26. Let -2/9*h - 2/9*h**s + 0 = 0. Calculate h.
-1, 0
Let a(k) be the first derivative of -k**8/8400 - k**7/2100 - 4*k**3/3 - 6. Let p(o) be the third derivative of a(o). Factor p(i).
-i**3*(i + 2)/5
Suppose 4/15 + 2/15*r - 2/15*r**2 = 0. Calculate r.
-1, 2
Let u(q) be the third derivative of q**5/210 - q**4/21 + 4*q**3/21 - 7*q**2. Factor u(m).
2*(m - 2)**2/7
Let t be 8/(-2) + 3 - -7. Let g be (t/10)/(15/75). Factor 0 + 2/11*a**g - 2/11*a + 0*a**2.
2*a*(a - 1)*(a + 1)/11
Let u(l) be the first derivative of 0*l - 2 - 1/4*l**3 + 1/8*l**4 + 1/8*l**2. Factor u(p).
p*(p - 1)*(2*p - 1)/4
Let s(d) be the first derivative of -5*d**4/4 - 5*d**3/3 + 34. What is i in s(i) = 0?
-1, 0
Let o(u) = u**3 + 3*u**2 - 6*u - 5. Let a be o(-4). Let z = -2061/7 + 295. Factor 0*t + 0 + z*t**a - 2/7*t**2 - 2/7*t**4.
-2*t**2*(t - 1)**2/7
Let t be -2 + (-2)/(4/26). Let v be 12/t*5/(-3). Factor 0 - 2/3*i**3 + v*i**2 - 2/3*i.
-2*i*(i - 1)**2/3
Let w = -15 + 19. Let b(u) be the second derivative of 0*u**2 + u + 1/70*u**5 + 1/42*u**w - 1/105*u**6 + 0 - 1/21*u**3. Factor b(h).
-2*h*(h - 1)**2*(h + 1)/7
Let d(c) be the first derivative of 2*c**3/3 + 5*c**2/4 - 3*c - 17. Solve d(r) = 0 for r.
-2, 3/4
Find n, given that -5000 - 58*n**2 + 5*n**3 + 1500*n + 8*n**2 - 134*n**2 + 34*n**2 = 0.
10
Let -4/3*r**4 + 28/9*r**3 - 32/9*r**2 + 2*r - 4/9 + 2/9*r**5 = 0. Calculate r.
1, 2
Let a(c) be the third derivative of 0 + 1/420*c**6 - 6*c**2 - 1/210*c**5 - 1/42*c**4 + 0*c**3 + 0*c. Factor a(j).
2*j*(j - 2)*(j + 1)/7
Suppose 2*f = -2*c - 1 + 15, 2*c - 8 = 0. Let r(w) be the second derivative of w**2 + 1/3*w**f + w + 0 - 1/6*w**4 - 1/10*w**5. Factor r(n).
-2*(n - 1)*(n + 1)**2
Let t(c) be the second derivative of c**5/20 - c**3/6 - 42*c. Factor t(p).
p*(p - 1)*(p + 1)
Let j(w) be the third derivative of -1/14*w**4 + 0*w + 2*w**2 - 1/210*w**5 - 3/7*w**3 + 0. Factor j(u).
-2*(u + 3)**2/7
Let c = -11 + 20. Suppose -c*b**2 + 0*b**2 + 3*b**3 + 6*b + 0*b**2 = 0. Calculate b.
0, 1, 2
Factor -65*q + 2*q**2 + 73*q - 2*q**3 + 0*q**2 - 8.
-2*(q - 2)*(q - 1)*(q + 2)
Let j(m) be the first derivative of -1/30*m**6 + 0*m**2 + 0*m - 1/15*m**3 - 1 + 1/25*m**5 + 1/20*m**4. Factor j(i).
-i**2*(i - 1)**2*(i + 1)/5
Let u be (3/1)/(3/2). Let v(w) be the first derivative of 1/4*w**4 + 0*w + 0*w**u + 1/15*w**3 + 4/25*w**5 - 1. Factor v(c).
c**2*(c + 1)*(4*c + 1)/5
Find p such that 13*p**2 + 0*p**2 - 20*p**3 + 8*p**4 - p**2 = 0.
0, 1, 3/2
Suppose 0 = 4*b + 17 - 285. Factor -4*k**2 + 55 + k**2 - 12*k - b.
-3*(k + 2)**2
Let w = -25 + 22. Let u = 4 + w. Solve 1/2*a - a**2 - 1/2*a**3 + u = 0.
-2, -1, 1
Let l be 6*-1 + (-712)/(-72) + -3. Factor 4/9*y + l*y**3 + 0 + 2/9*y**4 + 10/9*y**2.
2*y*(y + 1)**2*(y + 2)/9
Let m(h) be the third derivative of h**8/224 + h**7/20 + 7*h**6/80 - 23*h**5/40 - h**4/2 + 4*h**3 - 18*h**2 - 2. Let m(z) = 0. What is z?
-4, -1, 1
Let g = -13 - -6. Let a = g + 10. Find h such that h + 2*h**a + 0*h - 3*h**3 = 0.
-1, 0, 1
Let j(u) = -u**2 - 3*u. Let n(b) = 3*b**2 + 6*b + 1. Let x(o) = -10*j(o) - 4*n(o). Determine g, given that x(g) = 0.
1, 2
Let c be (-3 + 4)/(1/3). Suppose 5*a - 8 = -i, 0 = a - c*i + 3 - 11. Factor v**3 + a*v**2 - 8*v**4 - 5*v**5 - 7*v**3 + 5*v**3.
-v**2*(v + 1)**2*(5*v - 2)
Let h(k) be the third derivative of -13/270*k**5 - 1/27*k**6 - 1/54*k**4 + 0 - 1/105*k**7 - 4*k**2 + 0*k**3 + 0*k. Find c such that h(c) = 0.
-1, -2/9, 0
Let y(h) be the third derivative of 0 + 0*h**3 + 1/45*h**6 + 1/126*h**7 - 1/36*h**4 + 0*h - 4*h**2 + 1/180*h**5. Suppose y(b) = 0. Calculate b.
-1, 0, 2/5
Let r(f) be the second derivative of -f**7/1155 + f**6/330 - f**5/330 - f**2 - 4*f. Let i(j) be the first derivative of r(j). What is q in i(q) = 0?
0, 1
Let z(b) = -4*b**4 + 4*b**3 - 8*b**2 + 8*b + 8. Let w(h) = -h**3 + h**2 - h - 1. Let q(m) = 8*w(m) + z(m). Determine s, given that q(s) = 0.
-1, 0
Let c = -336 + 338. Suppose -1/5 + 0*f + 1/5*f**c = 0. Calculate f.
-1, 1
Suppose 4*u = 7*u - 5*o - 31, 26 = 3*u - 4*o. Factor 1/3*r**3 - 4/3*r**u - 2/3 + 5/3*r.
(r - 2)*(r - 1)**2/3
Let s(v) = v**3 + 2*v**2 + v - 4. Let q(o) = o**2 + o. Let j(x) = 5*q(x) - s(x). Let k be j(4). Factor 1/3 + 0*c**2 - 2/3*c + 2/3*c**3 - 1/3*c**k.
-(c - 1)**3*(c + 1)/3
Let a(p) be the second derivative of p**5/40 + p**4/24 + p. Factor a(c).
c**2*(c + 1)/2
Let t = -1 - -6. Suppose -4 = -4*h + 8*h - 4*b, -t*h - 2*b = -16. What is j in -1 + 0*j**2 + h*j**2 + j**3 - 1 - j = 0?
-2, -1, 1
Let m(j) = j**2 + 4. Let q be m(0). Let k(i) = i + 6. Let n be k(-3). Factor 1/3*w + w**n - 3*w**q + 0 + 5/3*w**2.
-w*(w - 1)*(3*w + 1)**2/3
Suppose -2*i = -6*i + 5*u - 17, u - 5 = 0. Find r such that -1/3*r - 1/3*r**i + 2/3 = 0.
-2, 1
Suppose -5*q + 12 = -8. Factor 3*h**2 + 0*h**4 - 2*h + 2*h**q - 4*h**4 - 9*h**2 - 6*h**3.
-2*h*(h + 1)**3
Let -4*a**4 + 22*a**3 - 19 + 3 - 10*a**3 + 48*a + 12*a**3 - 52*a**2 = 0. What is a?
1, 2
Find m, given that 18/5*m**4 + 0 + 14/5*m**2 + 2/5*m + 6*m**3 = 0.
-1, -1/3, 0
Let z be (-2 - 2) + (-11)/(77/(-388)). Solve 27/7*p**5 + z*p**3 - 24*p**4 + 48/7*p + 0 - 288/7*p**2 = 0.
0, 2/9, 2
Let l be ((-2)/2)/(-1) + 3. Let -3*z**4 + 4*z**3 - 6*z**3 + 4*z + 1 - l*z**3 + 2*z**3 + 2*z**2 = 0. What is z?
-1, -1/3, 1
Let c(d) be the second derivative of -8*d - d**4 + 4/3*d**3 + 0*d**2 + 1/5*d**5 + 0. Factor c(b).
4*b*(b - 2)*(b - 1)
Suppose -5*g = 11*g - 32. Suppose 3/2*w**4 + 4*w**g + 1/2 - 9/4*w - 7/2*w**3 - 1/4*w**5 = 0. What is w?
1, 2
Suppose 2*q - 138 = 5*q. Let v = 152/3 + q. Solve -2*h**4 - 32/9*h**2 + 8/9*h + v*h**3 + 0 = 0 for h.
0, 2/3, 1
Let q be 2/(-3 - (-4 - 0)). Factor 16*s + 12*s**q + 16/3.
4*(3*s + 2)**2/3
Let n(p) be the third derivative of p**6/420 + p**5/70 + p**4/42 + p**2 + 21. Solve n(g) = 0.
-2, -1, 0
Let l(t) be the first derivative of -t**3/6 + 2*t**2 - 8*t + 3. Factor l(d).
-(d - 4)**2/2
Suppose 33 = 15*l - 4*l. Let w(v) be the first derivative of -3/25*v**5 - 9/20*v**4 - 3/5*v**l + 0*v + 3 - 3/10*v**2. Factor w(m).
-3*m*(m + 1)**3/5
Let l(t) = t - 3. Let b be l(5). Suppose -5 + 5 - q**b + 0 + q = 0. What is q?
0, 1
Let l(d) be the first derivative of -d**5/360 + d**4/144 - d**2 + 2. Let y(h) be the second derivative of l(h). Factor y(k).
-k*(k - 1)/6
Let u = 9700 + -494660/51. Let p = -2/17 + u. Factor -p*z**2 - 2/3 + 4/3*z.
-2*(z - 1)**2/3
Let b be 0 + 1 - (-1 - 1). Factor 9*l - 6 + l**2 - 3*l**b + 2*l**2 - 3*l**2.
-3*(l - 1)**2*(l + 2)
Determine o so that 0 + 2/5*o**4 - 2*o**3 - 6/5*o + 14/5*o**2 = 0.
0, 1, 3
Suppose 4 = -3*s - 5*n - 21,