*j**2 + 8/3 + 8/3*j.
2*(j + 2)**2/3
Factor -2/5*j + 0 - 2/5*j**5 - 12/5*j**3 + 8/5*j**4 + 8/5*j**2.
-2*j*(j - 1)**4/5
Let v be 24/10*50/(-15). Let a(t) = 2*t**2 + 5. Let g(s) = -3*s**2 - 8. Let f(w) = v*a(w) - 5*g(w). What is x in f(x) = 0?
0
Let s = 89/4 - 22. Find p, given that s*p**2 - 1/2*p + 0 = 0.
0, 2
Let q(g) = 12*g**3 + 4*g**2 - 10*g - 10. Let x(o) = o**3 + o**2 - o - 1. Let k(y) = -q(y) + 10*x(y). Suppose k(i) = 0. What is i?
0, 3
Let y(f) = f**3 - f**2 + 1. Suppose -3*t = -0*t + 12. Let a(h) = -h**2 - 4 + 3*h - 2*h + 5*h**2 - 5*h**3. Let j(s) = t*y(s) - a(s). Factor j(x).
x*(x - 1)*(x + 1)
Factor 162*j**2 + 2 + 0*j + 0*j - 164*j**2.
-2*(j - 1)*(j + 1)
Suppose 3 = -5*k + 3. Factor -3/4*g**2 + 3/4*g**4 + 3/4*g**3 - 3/4*g + k.
3*g*(g - 1)*(g + 1)**2/4
Let v(j) be the first derivative of 3/4*j**2 + 1/6*j**3 + j + 2. Find m, given that v(m) = 0.
-2, -1
Let u(x) be the first derivative of 2/3*x**6 - 8*x + 16/5*x**5 - 10*x**2 + 4*x**4 - 8/3*x**3 + 2. What is h in u(h) = 0?
-2, -1, 1
Let j(u) be the third derivative of -1/60*u**5 + 0 + 1/120*u**6 - 1/24*u**4 + 0*u + 1/210*u**7 + 0*u**3 - 6*u**2. Solve j(b) = 0.
-1, 0, 1
Let f(p) be the first derivative of -2*p**2 + 2/3*p**3 - 2 + 1/2*p**4 + 0*p. Suppose f(b) = 0. Calculate b.
-2, 0, 1
Let l(r) = r**3 + 19*r**2 - r - 17. Let v be l(-19). Let -s + 1/2*s**3 - 5/4*s**4 + 1/4 + s**v + 1/2*s**5 = 0. Calculate s.
-1, 1/2, 1
Let j = 14 + -22. Let w be -2*1*j/12. Factor 2/3*h + 10/3*h**3 + 16/3*h**2 - w.
2*(h + 1)**2*(5*h - 2)/3
Let k(w) = -7*w. Let h be k(-1). Let r**3 - h*r**3 + 3*r**3 - r**2 + r**4 + 3*r**5 = 0. What is r?
-1, -1/3, 0, 1
Let y(q) be the second derivative of 1/24*q**3 + 0 - q + 1/96*q**4 - 1/240*q**5 - 1/480*q**6 - 1/2*q**2. Let r(x) be the first derivative of y(x). Factor r(o).
-(o - 1)*(o + 1)**2/4
Let l = 3 - 0. Let a(r) = 2*r - 4. Let i be a(l). Suppose -2/3*k**2 + 0*k - i*k**4 + 0 + 2/3*k**5 + 2*k**3 = 0. What is k?
0, 1
Factor 0 - 2/5*q**3 + 0*q + 0*q**2.
-2*q**3/5
Let o(q) be the second derivative of -2*q + 0 - 1/10*q**5 + 1/6*q**4 + 0*q**2 - 1/15*q**6 + 1/3*q**3. Solve o(d) = 0.
-1, 0, 1
Let n(g) be the third derivative of 0 + 0*g**3 + 1/180*g**6 + 0*g**4 + 0*g**5 + g**2 + 0*g. Factor n(i).
2*i**3/3
Let v(i) = i**3 - 6*i**2 + 7*i - 7. Let l be v(5). Factor 2*w**2 + 2*w + w**3 - 1 + w**3 - l*w - w**4 - w**5.
-(w - 1)**2*(w + 1)**3
Factor -2/9*k**2 - 4/3*k**3 + 4/3*k + 2/9.
-2*(k - 1)*(k + 1)*(6*k + 1)/9
Let m = 16 + -10. Factor -2*v**2 + 3*v**2 + 3*v**2 - m*v - v**2.
3*v*(v - 2)
Suppose r - 8 = l - 0*l, l = -3. Let i(q) = q**3 + 4*q**2 + 3*q + 3. Let s be i(-3). Factor s*d**5 + 2*d**4 + 2*d**2 + 6*d**3 + 4*d**4 - d**r.
2*d**2*(d + 1)**3
Let n(t) be the first derivative of -7*t**6/30 + t**5/4 + 3*t**4/4 - 5*t**3/6 - t**2 + 2*t + 3. Let y(j) be the first derivative of n(j). Factor y(a).
-(a - 1)**2*(a + 1)*(7*a + 2)
Let j(f) = 6*f**3 + 27*f**2 + 9*f + 3. Let n(i) = 13*i**3 + 53*i**2 + 19*i + 5. Let v(u) = 5*j(u) - 3*n(u). Solve v(w) = 0.
-2, -2/3, 0
Suppose 0 + 0*b - 2/3*b**3 + 4/3*b**2 = 0. Calculate b.
0, 2
Let k be (-24)/(-324)*(-1 - -4 - 2). Let o(p) be the third derivative of p**2 + 0 - k*p**3 + 1/270*p**5 + 0*p - 1/108*p**4. Factor o(x).
2*(x - 2)*(x + 1)/9
Let k(m) be the third derivative of m**8/1848 - 2*m**7/1155 - m**2. Factor k(q).
2*q**4*(q - 2)/11
Factor 1 - 27*r**2 + 10*r**2 + 16*r**2.
-(r - 1)*(r + 1)
Let q(p) be the first derivative of p**6/2 - p**5/5 - 9*p**4/4 - p**3 + p**2 + 14. What is o in q(o) = 0?
-1, 0, 1/3, 2
Let i(n) be the third derivative of -n**8/1680 + n**7/1050 + n**6/300 - n**5/150 - n**4/120 + n**3/30 + 26*n**2. Factor i(l).
-(l - 1)**3*(l + 1)**2/5
Let l = -2 - -2. Let h(i) be the second derivative of 1/20*i**5 + 0*i**3 - 2*i + l*i**4 + 0*i**2 + 1/30*i**6 + 0. Factor h(v).
v**3*(v + 1)
Let h(q) = -5*q**2 + 3*q. Let c(o) = 3*o**2 - 2*o. Let w(j) = -7*c(j) - 4*h(j). Factor w(d).
-d*(d - 2)
Let z(i) = i**2 + 7*i - 12. Let t be z(-5). Let q = t + 22. Find h such that q*h + 1/3*h**2 + 0 + 1/3*h**3 = 0.
-1, 0
Let t(c) = -22 - 3*c + 29 + c - 5*c**2. Let y(j) = 6*j**2 + 3*j - 8. Let d(n) = -5*t(n) - 4*y(n). Factor d(i).
(i - 3)*(i + 1)
Let m(w) be the third derivative of 14*w**7/75 + 119*w**6/150 - 16*w**5/15 + 2*w**4/5 + 36*w**2. Find k such that m(k) = 0.
-3, 0, 2/7
Let 0 + 2/9*b**5 + 10/9*b**3 - 8/9*b**4 - 4/9*b**2 + 0*b = 0. What is b?
0, 1, 2
Factor -12/5 + 2/5*x**2 - 2*x.
2*(x - 6)*(x + 1)/5
Let t(o) be the second derivative of -3*o**2 + 0 + 9*o + 1/2*o**3 + 1/4*o**4. Factor t(l).
3*(l - 1)*(l + 2)
Suppose -23 - 27 = -5*q. Let v be (-14)/q + (-6)/(-3). Find z such that 0*z + 0 + v*z**3 + 3/5*z**2 = 0.
-1, 0
Let p(g) = g + 5. Let m be p(-3). Let b = -491 - -1977/4. Suppose 7/4*d**m - d**5 + 0 + b*d**4 - 15/4*d**3 - 1/4*d = 0. Calculate d.
0, 1/4, 1
Let u be (0/(-1))/(3 + -1). Let u - 1/2*p**4 + 1/2*p + 1/2*p**2 - 1/2*p**3 = 0. What is p?
-1, 0, 1
Let q(k) be the first derivative of -3 - 6/35*k**5 - 1/21*k**6 - 1/7*k**4 + 2/7*k + 3/7*k**2 + 4/21*k**3. Factor q(a).
-2*(a - 1)*(a + 1)**4/7
Suppose 0 = -2*m + 4 - 12. Let d be 2/((24/(-9))/m). Factor 0*a**d + 0 - 1/3*a**2 + 1/3*a**4 + 0*a.
a**2*(a - 1)*(a + 1)/3
Let p(s) = -s**3 - 9*s**2 + 10*s + 4. Let n be p(-10). Let y be (n/(-30))/((-2)/6). Suppose 2/5*j**3 - y*j + 0*j**2 + 0 = 0. What is j?
-1, 0, 1
Let p = 47 - 42. Let l(d) be the third derivative of 1/10*d**p + 1/3*d**3 + 1/60*d**6 + 1/4*d**4 + 0 + 0*d - d**2. Factor l(g).
2*(g + 1)**3
Let d(h) = h**3 - 3*h - 2. Let r(v) = 2*v**3 - 6*v - 4. Let b(g) = -7*d(g) + 3*r(g). Determine o, given that b(o) = 0.
-1, 2
Let l(v) = v**2 - 4*v + 2. Let y be l(3). Let k be y/(9/(-6) - -1). Factor -1/4*j**k - 1/4*j + 0.
-j*(j + 1)/4
Let u(a) be the first derivative of 0*a + 1/10*a**4 - 2/5*a**2 - 2/15*a**3 + 1. Suppose u(c) = 0. What is c?
-1, 0, 2
Let c(l) be the first derivative of -l**6/6 + 2*l**5/5 - 2*l**3/3 + l**2/2 - 6. Factor c(s).
-s*(s - 1)**3*(s + 1)
Let m(g) = 2*g**2 + 4*g + 2. Let p be m(-2). Determine t, given that -17*t**p + t**2 - 6*t - 5*t**2 = 0.
-2/7, 0
Let b = -24 - -10. Let s(y) = -2*y**2 - 2*y - 5. Let j(i) = -5*i**2 - 5*i - 11. Let d(m) = b*s(m) + 6*j(m). Factor d(f).
-2*(f - 1)*(f + 2)
Let p(m) be the second derivative of m**5/16 - m. Let p(j) = 0. What is j?
0
Suppose 5*c - 8*c + 6 = 0. Solve -2*g + 14*g**2 - 12*g**c + 2*g - 2*g**3 = 0 for g.
0, 1
Let s(r) be the first derivative of -3*r**4/14 - 34*r**3/21 + 8*r**2/7 + 24*r/7 + 36. Determine d so that s(d) = 0.
-6, -2/3, 1
Suppose -2*m + 58*i + 17 = 55*i, 4*m = 3*i + 25. Factor 0*q**3 + 4/7*q**2 + 2/7*q**5 - 4/7*q**m - 2/7*q + 0.
2*q*(q - 1)**3*(q + 1)/7
Suppose 4*x = 5*b + 15, 4*x - b - 17 = 2*b. Let t(j) be the second derivative of 1/45*j**6 + 2/15*j**x + 2/9*j**4 + 0 + 0*j**2 + 2*j + 0*j**3. Factor t(m).
2*m**2*(m + 2)**2/3
Let t(l) be the first derivative of -3*l**4/2 + 7*l**2/3 + 4*l/3 + 2. Find z, given that t(z) = 0.
-2/3, -1/3, 1
Suppose -7 = -4*g + 33. Suppose -g - 8 = -4*s - 2*z, 5*s = z + 5. Factor w**2 - 3 - 2*w + 2 + s.
(w - 1)**2
Let h(q) be the first derivative of -2*q**5/25 + q**4/5 + 2*q**3/5 - 4*q**2/5 - 8*q/5 + 33. Suppose h(t) = 0. What is t?
-1, 2
Let c(z) be the first derivative of -z**7/105 - z**6/180 + 2*z**3/3 + 1. Let u(a) be the third derivative of c(a). Factor u(y).
-2*y**2*(4*y + 1)
Let y(c) be the third derivative of 0 + 0*c + 1/3*c**3 + 1/180*c**6 - 1/60*c**5 - c**2 + 0*c**4. Let n(i) be the first derivative of y(i). Factor n(o).
2*o*(o - 1)
Let o(c) be the third derivative of -c**10/680400 + c**9/272160 + c**5/60 + c**2. Let i(q) be the third derivative of o(q). Factor i(z).
-2*z**3*(z - 1)/9
Let k(b) be the second derivative of 2*b**6/15 + 3*b**5/5 - b**4/3 - 2*b**3 - 47*b. Solve k(n) = 0.
-3, -1, 0, 1
Let k(r) be the first derivative of -3*r**4/28 - 4*r**3/7 - 15*r**2/14 - 6*r/7 - 29. Solve k(z) = 0.
-2, -1
Let p = -24 + 27. Factor -6/5 - 12/5*r**2 + 3/5*r**3 + p*r.
3*(r - 2)*(r - 1)**2/5
Let o = -801/5 + 161. Factor 0*w**2 + 0*w - 2/5*w**3 + 0 - 2/5*w**5 + o*w**4.
-2*w**3*(w - 1)**2/5
Let b(v) = 5*v**2 + 17*v + 12. Let q(p) = p**2 + 3*p + 2. Let w(o) = 6*b(o) - 34*q(o). Factor w(i).
-4*(i - 1)*(i + 1)
Let g(f) = f**4 - f**3. Let z(l) = 2*l**5 - 16*l**4 + 20*l**3 - 8*l**2 + 2*l. Suppose o + 0*o = -8. Let j(x) = o*g(x) - z(x). Solve j(r) = 0 for r