2)/5
Let r(d) be the second derivative of 0 - 1/18*d**4 + d + 2/9*d**3 + 0*d**2. Suppose r(n) = 0. What is n?
0, 2
Let r(p) = -2*p + 13. Let n be r(7). Let g be -5 + 3 - (-3 - n). Suppose -2/7*q + 2/7*q**2 + g - 2/7*q**4 + 2/7*q**3 = 0. What is q?
-1, 0, 1
Let g(c) be the third derivative of c**6/80 + c**5/40 + 4*c**2. Solve g(t) = 0.
-1, 0
Suppose 0 + 0*m**3 + 0*m**2 - 1/8*m**4 + 0*m = 0. Calculate m.
0
Let k(w) = 4*w**4 + 4*w**3 + 4*w**2 - 12*w. Let u = -9 + 4. Let r(b) = 4*b**4 + 3*b**3 + 5*b**2 - 13*b + 1. Let j(c) = u*k(c) + 4*r(c). Factor j(q).
-4*(q - 1)*(q + 1)**3
Let h(c) = c**3 + 10*c**2 - 5*c + 2. Let x be h(-9). Let q = x - 894/7. Factor 2/7*g**4 + q*g**2 + 0*g + 0 + 4/7*g**3.
2*g**2*(g + 1)**2/7
Let m(h) be the first derivative of 2*h**5/15 - 5*h**4/6 + 8*h**3/9 - 20. Factor m(u).
2*u**2*(u - 4)*(u - 1)/3
Let j(p) = -p. Let z(w) = w**3 + 6*w**2 + 16*w + 8. Let m(r) = -4*j(r) - z(r). Find c, given that m(c) = 0.
-2
Let m(o) be the second derivative of o**5/180 + o**4/72 + o**2 + 9*o. Let b(t) be the first derivative of m(t). Find w such that b(w) = 0.
-1, 0
Let b(z) be the third derivative of -z**5/150 + z**4/12 - 2*z**3/5 + 12*z**2. What is o in b(o) = 0?
2, 3
Suppose 3*a - 7*a = 0. Let i(q) be the second derivative of a + 2*q + 0*q**2 - 1/36*q**4 - 1/18*q**3. Determine x so that i(x) = 0.
-1, 0
Let y(o) be the second derivative of -o**5/10 - o**4/3 - o**3/3 - o. Factor y(t).
-2*t*(t + 1)**2
Let r(v) be the second derivative of -v**5/90 - 5*v**4/18 - 25*v**3/9 - 125*v**2/9 + 26*v. Factor r(x).
-2*(x + 5)**3/9
Let o(f) be the second derivative of -f**5/4 + 25*f**4/12 - 20*f**3/3 + 10*f**2 + 42*f. Factor o(n).
-5*(n - 2)**2*(n - 1)
Let u(i) be the second derivative of -i**7/147 + i**6/35 + 3*i**5/35 - 5*i**4/21 - i**3 - 9*i**2/7 - 16*i. Factor u(g).
-2*(g - 3)**2*(g + 1)**3/7
Let p(o) be the second derivative of o**7/189 - 2*o**6/135 + o**4/27 - o**3/27 + 14*o. Suppose p(c) = 0. What is c?
-1, 0, 1
Let x(s) be the first derivative of 2*s**3/3 - 3*s**2 - 8. Factor x(m).
2*m*(m - 3)
Let s(u) be the third derivative of -u**6/120 + u**5/15 - u**4/8 - 66*u**2. Suppose s(w) = 0. What is w?
0, 1, 3
Let x(c) = -7*c**2 + 8*c - 12. Let j(m) = -57*m**2 + 63*m - 96. Let l(f) = 4*j(f) - 33*x(f). Factor l(o).
3*(o - 2)**2
Let m(f) be the first derivative of f**6/15 - f**4/5 + f**2/5 + 7. Factor m(l).
2*l*(l - 1)**2*(l + 1)**2/5
Let m(c) be the third derivative of -2/3*c**3 + 0*c + 1/168*c**8 - 2/35*c**7 + 6*c**2 + 7/30*c**6 + 0 + 3/4*c**4 - 8/15*c**5. Solve m(z) = 0.
1, 2
Let h(o) be the third derivative of 6*o**2 + 0 - 1/12*o**4 + 0*o**3 + 0*o + 1/105*o**7 + 1/10*o**5 - 1/20*o**6. Suppose h(t) = 0. Calculate t.
0, 1
Let v(g) be the third derivative of g**8/21 - 8*g**7/35 + 3*g**6/10 - 2*g**5/15 + 17*g**2. Factor v(w).
4*w**2*(w - 2)*(2*w - 1)**2
Let k(o) = o**5 - 7*o**4 - 4*o**2. Let m(z) = 3*z**2 + 8*z**4 + 4*z**4 - z**4 - 5*z**4. Let w(l) = -3*k(l) - 4*m(l). Find c such that w(c) = 0.
-1, 0
Let b = 1/45 + 41/180. Let x = -47 - -47. What is u in b*u**2 + x - 1/4*u = 0?
0, 1
Suppose 3 = -2*d - 1. Let a = 2 + d. Factor -6*y + a*y + 5*y + y**4 - y**2 + y**3.
y*(y - 1)*(y + 1)**2
Let s(a) = -a + 9. Suppose -35 = -8*q + 3*q. Let t be s(q). Let 90/7*x**t + 8/7 - 50/7*x**3 - 48/7*x = 0. Calculate x.
2/5, 1
Let h(f) be the first derivative of f**6/2 + 3*f**5/5 - 3*f**4/4 - f**3 + 2. Find n, given that h(n) = 0.
-1, 0, 1
Let k(v) = 5*v**2 + 4*v - 3. Let t(o) = -6*o**2 - 4*o + 3. Let s(d) = 7*k(d) + 6*t(d). Let s(y) = 0. Calculate y.
1, 3
Let g(l) = -l**3 + 9*l**2 - 11*l + 26. Let z be g(8). Let z + 10/3*s + 14/9*s**2 + 2/9*s**3 = 0. What is s?
-3, -1
Let z(j) be the second derivative of 0*j**2 + 0 - 4*j + 0*j**3 - 1/30*j**5 + 1/18*j**4. Find w, given that z(w) = 0.
0, 1
Suppose -2*s = -3*a + 14, s = -2*a - s - 4. Let x(u) be the second derivative of -1/80*u**5 + 0 - 1/24*u**4 + 0*u**a - 2*u - 1/24*u**3. Factor x(h).
-h*(h + 1)**2/4
Factor 2/15*j**2 + 2/15*j**5 + 0 + 0*j - 2/15*j**3 - 2/15*j**4.
2*j**2*(j - 1)**2*(j + 1)/15
Let m = 16 + -16. Suppose m = -0*b - 5*b + 10. Factor 0 + 0*w + 2/11*w**3 + 0*w**b.
2*w**3/11
Let q(v) = 2*v**2 + 2*v. Let l(s) = s - 2. Let t(j) = 5*j**3. Let n be t(1). Let b be l(n). Let g(o) = o**2 + 2*o + 1. Let h(f) = b*q(f) - 2*g(f). Factor h(y).
2*(y + 1)*(2*y - 1)
Solve -3/4*k + 3/4*k**2 - 3/2 = 0.
-1, 2
Determine r, given that -7/3*r**2 + 3*r - 2/3 = 0.
2/7, 1
Let d = -1678/91 + 262/13. Factor 2/7*x + d*x**2 - 2/7.
2*(2*x + 1)*(3*x - 1)/7
Suppose 5*k - 3 = 4*k. Let b(n) be the first derivative of -k + 1/2*n**2 + 1/3*n**3 - 2*n. Factor b(o).
(o - 1)*(o + 2)
Let l(m) = m**2 + m + 4. Let i(g) = 3*g**2 + 2*g + 11. Let k(d) = -3*i(d) + 8*l(d). Factor k(v).
-(v - 1)**2
Let p(d) = -2*d**3 - 3*d**2 - d + 2. Let k(v) = 6*v**3 + 9*v**2 + 3*v - 7. Let o(j) = -2*k(j) - 7*p(j). Solve o(b) = 0.
-1, -1/2, 0
Suppose -2*n - 3*d + 12 = 0, 5*n + 2*d - 6 = 2. Find c, given that n + 4/9*c**2 + 0*c - 2/9*c**4 - 2/9*c**3 = 0.
-2, 0, 1
Suppose -4 = w - 3*w. Factor 5*r**4 + 12*r**3 - 6*r**w - 15*r + 52 + 7*r**4 + 3*r**5 - 58.
3*(r - 1)*(r + 1)**3*(r + 2)
Let f(q) = -3*q. Let r be f(-1). Let d = r + 0. Determine m so that -2/9*m**4 - 2/9*m**2 - 2/3*m + 2/3*m**d + 4/9 = 0.
-1, 1, 2
Suppose 3 = -3*j - 0, 14 = 4*v - 2*j. Suppose 7 = -v*s + 13. Factor 2/9*t + 2/9*t**s + 0.
2*t*(t + 1)/9
Let a be (-22)/(-10) - 25/125. Find v, given that -2/5*v**4 + 2/5*v**3 + 0*v + 4/5*v**a + 0 = 0.
-1, 0, 2
Let r(z) be the first derivative of -3/2*z**2 - 1/270*z**5 + 0*z + 0*z**4 + 1/27*z**3 - 1. Let j(l) be the second derivative of r(l). Solve j(n) = 0 for n.
-1, 1
Let n(m) be the first derivative of -m**2 + 0*m - 4/5*m**5 + 1/3*m**6 + 4/3*m**3 + 0*m**4 - 1. Find o, given that n(o) = 0.
-1, 0, 1
Let b(p) = 8*p**5 - 22*p**4 + 8*p**3 + 2*p**2 + 4*p. Let u(a) = -a**5 + a. Let w(q) = -b(q) + 4*u(q). Factor w(v).
-2*v**2*(v - 1)**2*(6*v + 1)
Let b(a) be the first derivative of -a**8/1680 + a**7/840 + a**6/120 - a**5/120 - a**4/12 - a**3 - 1. Let x(u) be the third derivative of b(u). Factor x(p).
-(p - 2)*(p - 1)*(p + 1)**2
Let g(s) be the first derivative of s**3/3 - s**2/2 - 2*s + 5. Factor g(l).
(l - 2)*(l + 1)
Let y(j) be the first derivative of 2*j**5/15 - j**4/4 - j**3/9 + j**2/2 - j/3 + 15. Factor y(m).
(m - 1)**2*(m + 1)*(2*m - 1)/3
Suppose -2*p = -1 - 3. Solve 11*o + 5 - 3*o**5 - 8*o - 6*o**4 - 5 + 6*o**p = 0.
-1, 0, 1
Let o(f) be the second derivative of -f**4/54 + 4*f**2/9 + f. Factor o(m).
-2*(m - 2)*(m + 2)/9
Let r = -15497/42 - -369. Let d(y) be the third derivative of y**2 + 1/21*y**3 + 0 + r*y**4 + 0*y + 1/210*y**5. Find i such that d(i) = 0.
-1
Let t = 16/9 + -13/9. Factor 0*k + 0*k**2 + t*k**4 + 0 + 1/3*k**5 + 0*k**3.
k**4*(k + 1)/3
Let m = -63 + 66. Determine b, given that 2/3*b**2 + 2/3*b**5 + 0 - 2/3*b**4 + 0*b - 2/3*b**m = 0.
-1, 0, 1
Let s(n) be the third derivative of n**9/37800 - n**7/3150 + n**5/300 - n**4/24 + 4*n**2. Let p(m) be the second derivative of s(m). Factor p(i).
2*(i - 1)**2*(i + 1)**2/5
Let x be 6*2*(-3 - -4). Suppose p + 3*p**3 + 0*p**3 + 0 - 6 + 14*p - x*p**2 = 0. Calculate p.
1, 2
Factor -1/3*a**4 + 0 - 1/3*a**3 + 0*a + 1/3*a**5 + 1/3*a**2.
a**2*(a - 1)**2*(a + 1)/3
Let f(l) = 2*l**5 - 4*l**4 - 8*l**3 + 4*l**2 - 2*l. Let z(p) = -p**5 + p**4 + 3*p**3 - p**2 + p. Let t(m) = -3*f(m) - 8*z(m). Factor t(v).
2*v*(v - 1)*(v + 1)**3
Factor 4 + 15*t**2 + t - 20*t**4 - 4 + 4*t.
-5*t*(t - 1)*(2*t + 1)**2
Let n(p) = -p**2 - 22*p + 104. Let o be n(4). Factor 5/2*m**3 + 0*m + o - m**2.
m**2*(5*m - 2)/2
Let v(j) be the second derivative of j**4/12 + j**3/6 + j**2/2 - 2*j. Let z be v(-2). Factor x - z*x**3 - x**3 + 2*x**3 + x**3.
-x*(x - 1)*(x + 1)
Suppose 5*b + 9 = -11. Let k(m) = m + 4. Let d be k(b). Find n, given that 0*n**3 + 1/2*n**5 + n**2 - 1/2*n - n**4 + d = 0.
-1, 0, 1
Let k be (4/(-10))/((-4)/5). Suppose -5*p + 2 = -p + 3*o, 2*p - 5*o = 14. Factor -k*j + 2*j**3 + 0 + 3/2*j**p.
j*(j + 1)*(4*j - 1)/2
Let j be 16/7 + 1/6. Let n = j - 13/6. Factor 18/7*o**5 - 48/7*o**4 + 0 + 44/7*o**3 + n*o - 16/7*o**2.
2*o*(o - 1)**2*(3*o - 1)**2/7
Let s = -3 + 5. Solve -s*c**3 - 3*c**4 + 4*c**4 + c**3 = 0.
0, 1
Factor 0 - 1/3*l - 1/3*l**2.
-l*(l + 1)/3
Let t(y) = y**2 - y - 1. Let v(m) = -11*m**2 + 23*m - 5. Let p(g) = -3*t(g) - v(g). Factor p(c).
4*(c 