 third derivative of -h**6/480 - h**5/240 + h**4/96 + h**3/24 + 5*h**2. Let i(o) = 0. What is o?
-1, 1
Let 15/2*y**2 + 11*y + 9/4*y**3 + 1/4*y**4 + 6 = 0. What is y?
-3, -2
Factor -2/7*r**2 - 2/7*r + 12/7.
-2*(r - 2)*(r + 3)/7
Let j(r) be the third derivative of r**7/1995 + r**6/1140 - r**5/285 - 3*r**2. Find p such that j(p) = 0.
-2, 0, 1
Let x = 35 + -174/5. Factor 1/5 - 1/5*f**2 - x*f**3 + 1/5*f.
-(f - 1)*(f + 1)**2/5
Let m(y) be the third derivative of 1/42*y**4 + 1/420*y**5 + 0 - 3*y**2 + 0*y + 0*y**3. Find v, given that m(v) = 0.
-4, 0
Let h(s) = s**4 - 2*s**3 - 6*s**2 + 7*s + 5. Let f(p) = -p**4 + 2*p**3 + 5*p**2 - 6*p - 4. Let y(b) = 5*f(b) + 4*h(b). Factor y(i).
-i*(i - 2)*(i - 1)*(i + 1)
Suppose u - 2 = -i, 0 = -3*i - u + 3*u - 4. Let j(g) be the second derivative of 1/2*g**4 + 0*g**3 + i*g**2 + 0 - 3*g - 3/20*g**5. Factor j(f).
-3*f**2*(f - 2)
Let o(q) be the second derivative of 9*q + 1/90*q**4 - 2/15*q**2 - 1/45*q**3 + 0. Find w, given that o(w) = 0.
-1, 2
Let a be 50/8 + (-4)/16. Suppose 5*m + i - 11 = 0, 2 = -m + a*i - 2*i. Factor 4/5*z - 2/5 - 2/5*z**m.
-2*(z - 1)**2/5
Let c be 0*((-77)/21 - -4) - -2. Determine k so that -2 + 0*k + 1/2*k**c = 0.
-2, 2
Factor 2/5 + 4/5*p + 2/5*p**2.
2*(p + 1)**2/5
Let h(y) be the second derivative of -18*y**6/5 - 27*y**5/5 + 15*y**4 - 34*y**3/3 + 4*y**2 + 7*y. Determine x, given that h(x) = 0.
-2, 1/3
Suppose 0 = 30*b - 34*b. Let n(f) be the third derivative of 1/10*f**5 - 1/105*f**7 + 0*f - 1/6*f**4 + 0 + 0*f**6 + b*f**3 - f**2. Factor n(a).
-2*a*(a - 1)**2*(a + 2)
Let j be 3/(-2)*14/(-756). Let c(y) be the second derivative of 0 - 1/18*y**3 - 1/90*y**6 + 3*y + 0*y**2 + j*y**4 + 1/60*y**5. Factor c(q).
-q*(q - 1)**2*(q + 1)/3
Let j(t) be the second derivative of -t**7/2 + 23*t**6/10 - 81*t**5/20 + 13*t**4/4 - t**3 - 7*t. Let j(c) = 0. Calculate c.
0, 2/7, 1
Let q(v) = 2*v**2 + 12*v + 8. Let a be q(-6). What is g in -18*g + 14 - g**5 + 16*g**3 - a*g**2 - 6 + 6*g - 3*g**5 = 0?
-2, -1, 1
Suppose 0*s**2 + 2/3*s**4 - 4/3*s**3 + 2/3*s**5 + 0 + 0*s = 0. What is s?
-2, 0, 1
Let q(z) = -1 + 19 - z + 0 + 2*z. Let g be q(-16). Solve 0 + 1/4*f**3 + 0*f**g - 1/4*f = 0 for f.
-1, 0, 1
Let z(r) be the first derivative of r**4/4 - 2*r**3 + 6*r**2 - 8*r - 12. Determine s so that z(s) = 0.
2
Factor -1 - 3 + 4*i**2 + 2 - 2*i**4.
-2*(i - 1)**2*(i + 1)**2
Factor 4*x**3 + 0 + 2*x**5 - 61*x**4 - 6*x + 0 - 8*x**2 + 69*x**4.
2*x*(x - 1)*(x + 1)**2*(x + 3)
Let k(s) = 11*s**2 + 3*s - 6. Let r(b) = -7*b**2 - 2*b + 4. Let t(f) = -5*k(f) - 8*r(f). Factor t(z).
(z - 1)*(z + 2)
Let j(f) be the first derivative of -f**6/27 + 2*f**5/15 + f**4/18 - 22*f**3/27 + 4*f**2/3 - 8*f/9 + 14. Let j(d) = 0. Calculate d.
-2, 1, 2
Let f(y) be the third derivative of -2/9*y**3 - 1/36*y**4 + 2/45*y**5 + 0*y - 2/315*y**7 + 0 + 1/90*y**6 - 1/504*y**8 + 4*y**2. Solve f(u) = 0 for u.
-2, -1, 1
Let n = 9 - -6. What is f in -16*f**3 + 13*f**2 - 8*f - 6*f + n*f**2 + 2 = 0?
1/4, 1/2, 1
Let k be (27/85)/(-3 - -4). Let b = -2/17 + k. What is r in 3/5*r**4 + 0*r + 1/5*r**5 + 3/5*r**3 + 0 + b*r**2 = 0?
-1, 0
Suppose 2*p = 4*f, -3*p - f = -5*f + 10. Let a = p - -8. Let q(x) = x**2 - 10*x + 7. Let v(d) = -d + 1. Let u(c) = a*q(c) + 18*v(c). Let u(h) = 0. Calculate h.
-1, 2
Let u(x) = -x**2 + 15*x - 24. Let a be u(10). Factor 4 - 4*i**2 - 2*i**3 + 52*i - a*i - 24*i.
-2*(i - 1)*(i + 1)*(i + 2)
Let g(h) be the second derivative of -7/30*h**4 + 0*h**2 + 0 + 2/15*h**3 - 4*h. Suppose g(l) = 0. What is l?
0, 2/7
Suppose -24 = -b + 2*b. Let j be (2/(-6))/(2/b). Factor 4*m**j - 4*m**3 - 2*m**4 + 8*m**3 - 4*m - 2.
2*(m - 1)*(m + 1)**3
Let b be (-8)/14*14/(-4). Factor 2/5*q**b + 0*q + 0 - 2/5*q**4 + 0*q**3.
-2*q**2*(q - 1)*(q + 1)/5
Let r(p) be the first derivative of -p**8/3360 + p**6/360 - p**4/48 - 2*p**3/3 + 2. Let x(b) be the third derivative of r(b). Determine h so that x(h) = 0.
-1, 1
Let a(z) be the third derivative of -1/240*z**5 + 1/6*z**3 + z**2 + 1/720*z**6 + 0*z**4 + 0 + 0*z. Let h(o) be the first derivative of a(o). Solve h(y) = 0.
0, 1
Let x(o) be the second derivative of o**5/150 - o**4/30 + o**3/15 + o**2 + o. Let r(s) be the first derivative of x(s). Solve r(j) = 0.
1
Let f(w) be the second derivative of w**5/170 + 4*w**4/51 + w**3/3 + 10*w**2/17 - 19*w. Factor f(h).
2*(h + 1)*(h + 2)*(h + 5)/17
Let j be (4/(-75))/((-22)/55). Let i(m) be the second derivative of 1/30*m**4 + 0 - j*m**3 + 1/5*m**2 + 2*m. What is x in i(x) = 0?
1
Let k(n) be the third derivative of -n**6/540 + n**4/36 - n**3/3 + n**2. Let t(w) be the first derivative of k(w). Find s, given that t(s) = 0.
-1, 1
Let p be -4 - -17*3/12. Factor -p*o**3 + 3/4*o**2 + 5/4*o + 1/2 - 1/4*o**4.
-(o - 2)*(o + 1)**3/4
Let f(i) = -i**3 - 1. Let d(k) = -15*k**4 - 18*k**3 - 6*k**2 + 3. Let z(u) = -d(u) - 3*f(u). Suppose z(b) = 0. Calculate b.
-1, -2/5, 0
Let k(p) be the second derivative of 0*p**4 + 1/20*p**5 + 0*p**2 + 1/45*p**6 + 0 - p - 1/18*p**3. Factor k(q).
q*(q + 1)**2*(2*q - 1)/3
Let l = -217 - -1955/9. Let 0*s - 2/9*s**2 + 0 - l*s**3 = 0. What is s?
-1, 0
Determine v, given that -17*v**2 + 3*v**2 + 116*v + 28 + 30*v**2 = 0.
-7, -1/4
Let i = 7 + -17. Let a(h) = h**2 + 10*h + 3. Let g be a(i). Find d, given that -3*d**2 - d**4 + g*d**2 = 0.
0
Let o = -289 - -7804/27. Let s(i) be the second derivative of -o*i**3 + i - 1/27*i**4 + 0 + 0*i**2. Determine q, given that s(q) = 0.
-1/2, 0
Suppose 1/3*r**2 + 1/6*r - 1/3 - 1/6*r**3 = 0. What is r?
-1, 1, 2
Let b(c) = -c + 1. Let f be b(-3). Let h = 106 + -740/7. Solve -4/7*t**2 + 2/7*t**5 - h + 6/7*t**f - 6/7*t + 4/7*t**3 = 0.
-1, 1
What is q in 79*q**2 - 76*q**2 - 4 + 4 = 0?
0
Let p = 43 - 128/3. Let g(s) be the third derivative of 1/3*s**3 + 1/5*s**5 - 1/15*s**6 + 2*s**2 + 1/105*s**7 + 0*s + 0 - p*s**4. Factor g(a).
2*(a - 1)**4
Suppose 2*h**5 - 59*h**3 + 24*h**3 + 33*h**3 = 0. Calculate h.
-1, 0, 1
Let q(o) be the first derivative of -3 - 1/5*o**2 + 0*o**3 - 1/25*o**5 + 1/5*o + 1/10*o**4. Factor q(t).
-(t - 1)**3*(t + 1)/5
Let b(u) = -11*u**2 + 4*u - 7. Let x(c) = 3*c**2 - 8*c + 9. Let w(t) = -t + 1. Let q(a) = -14*w(a) + 2*x(a). Let s(g) = -4*b(g) - 7*q(g). Factor s(j).
2*j*(j - 1)
Let a(x) = -4*x**2 + x - 3. Let z = -2 + 9. Let w(f) = -9*f**2 + 2*f - 7. Let v(j) = z*a(j) - 3*w(j). Factor v(i).
-i*(i - 1)
Let k(s) be the third derivative of 2*s**7/105 - 2*s**6/15 - s**5/15 + 2*s**4/3 + 5*s**2. Factor k(t).
4*t*(t - 4)*(t - 1)*(t + 1)
Let q(u) = u**2 - u. Let z(p) = 3*p**3 - 12*p**2 + 9*p. Let a(b) = -3*q(b) - z(b). What is n in a(n) = 0?
0, 1, 2
Let a(l) = -l**2 - 6*l + 7. Let x be a(-5). Suppose -5*f + x + 3 = 0. Factor 2/7*g**2 + 2/7*g - 2/7*g**f - 2/7*g**4 + 0.
-2*g*(g - 1)*(g + 1)**2/7
Factor 10*q - q**3 + 0*q**3 + 2*q**2 - 11*q.
-q*(q - 1)**2
Let z(f) be the third derivative of -f**8/336 + f**6/30 - f**5/30 - f**4/8 + f**3/3 - 7*f**2. What is s in z(s) = 0?
-2, -1, 1
Suppose 3*f = 4*q + 55, 1 + 4 = 2*q + 5*f. Let i be ((-12)/10)/(4/q). Factor 2/5*h - 2/5*h**2 + 2/5 - 2/5*h**i.
-2*(h - 1)*(h + 1)**2/5
Let l be 3/9*3/50. Let b(x) be the third derivative of 0 - 1/30*x**4 + x**2 + 1/150*x**6 + l*x**5 + 0*x**3 + 0*x. Factor b(t).
2*t*(t + 2)*(2*t - 1)/5
Suppose -2*b - 1 = -2*s + 9, -s - 15 = 3*b. Factor 8/3*c**3 + 0*c - 8/3*c**2 + s - 2/3*c**4.
-2*c**2*(c - 2)**2/3
Let u(k) = 3*k. Let i be u(1). Suppose 4*z = i*z. Determine q so that z*q**5 - 4*q**4 - 2*q**5 + 0*q**4 - 2*q**3 = 0.
-1, 0
Factor 4 + 3 - 5 + 2*c**2 + 6 + 8*c.
2*(c + 2)**2
Let k = 58 + -96. Let o = k + 116/3. Suppose -o*j**3 + 8/9*j**2 + 2/9*j - 4/9 = 0. Calculate j.
-2/3, 1
Let l(x) = 7*x**2 - 4*x - 5. Let t(b) = -69*b**2 + 39*b + 51. Let f(r) = 21*l(r) + 2*t(r). Factor f(u).
3*(u - 1)*(3*u + 1)
Let d be 3/(-2)*168/(-36). Let n(g) be the second derivative of 1/6*g**4 + 7/75*g**6 - 1/15*g**3 - 2/105*g**d - 9/50*g**5 + 0*g**2 + 0 - g. Factor n(k).
-2*k*(k - 1)**3*(2*k - 1)/5
Let i(x) be the third derivative of -x**7/315 - x**6/180 + x**5/90 + x**4/36 + 6*x**2. Let i(y) = 0. Calculate y.
-1, 0, 1
Find n such that 4/13*n**3 + 2/13*n**4 + 0 + 0*n + 2/13*n**2 = 0.
-1, 0
Find x, given that 10 - 10*x - 18 + 8 + 2*x**2 = 0.
0, 5
Let d(o) be the first derivative of o**2 + 1/3*o**3 + o + 3. Determine q, given that d(q) = 0.
-1
Suppose -4*y + 12 = -4*b, -15 - 18 = -3*y - 3*b. Let l be -1 - -