 + 0*f**2.
-f**3*(f - 2)*(f + 2)/4
Suppose -4*p = 3*x - 4, 0*p + p = -2. Let i(t) be the second derivative of 1/3*t**3 + t + 0*t**2 + 0 + 1/6*t**x. Suppose i(l) = 0. What is l?
-1, 0
Find c such that 15/2 + 5/4*c**2 - 25/4*c = 0.
2, 3
Factor 4/7 + 0*q**2 - 2/7*q**3 + 6/7*q.
-2*(q - 2)*(q + 1)**2/7
Let o(u) be the third derivative of 1/120*u**6 + 1/30*u**5 + 0*u + 0*u**4 + 0 + 0*u**3 - 3*u**2. Solve o(f) = 0 for f.
-2, 0
Let f be (-24)/10*10/(-2). Suppose f = c + 3*c. Factor 0*s + 3*s**c + 2*s**2 + s - 2*s**3.
s*(s + 1)**2
Suppose -3*h - 3*u - 18 = 0, -1 = 2*h + 5*u + 26. Let z(x) = 6*x**3 - 6. Let b(y) = y**3 - y**2 + y - 1. Let c(d) = h*z(d) + 3*b(d). Factor c(t).
-3*(t - 1)*(t + 1)**2
Suppose -2*w = 2*w. Determine p, given that 0*p**2 - 2/3*p + 4/3*p**3 + w + 0*p**4 - 2/3*p**5 = 0.
-1, 0, 1
Let n be (-1)/(-6) - 85/(-30). Let k(o) be the first derivative of -1/2*o**4 + o**2 - 2 - 2*o + 2/3*o**n. Solve k(i) = 0.
-1, 1
Let d(z) be the second derivative of -z - 1/84*z**7 + 1/60*z**6 + 0*z**2 + 0*z**3 + 1/40*z**5 - 1/24*z**4 + 0. Solve d(v) = 0 for v.
-1, 0, 1
Let m = 12 - 8. Solve f - 2*f**3 + m*f - 3*f = 0.
-1, 0, 1
Let w(s) be the first derivative of 2*s**5/5 + 3*s**4/2 + 2*s**3 + s**2 - 40. Let w(l) = 0. Calculate l.
-1, 0
Solve 0*t**2 - 2/5*t + 2/5*t**3 + 1/5*t**4 - 1/5 = 0 for t.
-1, 1
Let m(z) be the first derivative of z**5/20 + z**4/4 + 5*z**3/12 + z**2/4 - 9. What is c in m(c) = 0?
-2, -1, 0
Let f(v) = 2*v - 4. Let s be f(2). Let c(o) be the third derivative of 0*o - 1/30*o**4 + 0 + 7/150*o**5 + s*o**3 - 4*o**2. Determine z, given that c(z) = 0.
0, 2/7
Let t = 19/41 - -230/123. Find r, given that -22/3*r**2 - 8/3 + t*r**5 + 10*r**4 + 29/3*r**3 - 12*r = 0.
-2, -1, -2/7, 1
Let g = -8 - -11. Factor -6*b**2 + 4*b + 39*b**3 + 0*b - 2*b**5 - 4*b**5 - 45*b**g + 14*b**4.
-2*b*(b - 1)**3*(3*b + 2)
Let w(g) = 3*g**2 + 2*g + 2. Let o be w(-3). Let 15*m**2 + 0*m + 25*m**4 + o*m**4 + 2*m + 20*m**5 + 41*m**3 = 0. Calculate m.
-1, -1/2, -2/5, 0
Suppose 2*b - 20 = 4*z, -z + 13 = b - 3. Let d = -12 + b. Factor -d*s**2 + 5/4*s**3 + 0 - s.
s*(s - 2)*(5*s + 2)/4
Let w be -8 + (-9)/((-18)/19). Let 0 + 1/2*b**4 + 1/2*b + 3/2*b**2 + w*b**3 = 0. Calculate b.
-1, 0
Let p(t) be the third derivative of t**4/24 - t**3 + t**2. Let q be p(8). Determine z, given that q*z + 2 + z + 3*z**2 - 2*z**2 = 0.
-2, -1
Let c be (-12)/(-27) - (-3)/27*-4. Let m = 98/195 + -4/39. Solve 0*g**2 + 0 - 2/5*g**3 + c*g + m*g**4 = 0.
0, 1
Let b be -3*(-139)/(-30)*2. Let u = b + 28. Determine x, given that u*x**2 - 2/5 + 1/5*x = 0.
-2, 1
Factor 5/4*u**4 - 5*u**3 + 15/2*u**2 + 5/4 - 5*u.
5*(u - 1)**4/4
Suppose -y - 2*y = 0. Suppose -2*q - 6 = -4*u - 5*q, -4*u + 5*q + 22 = y. Determine x so that 0 + 4/5*x**2 + 2/5*x**u + 2/5*x = 0.
-1, 0
What is v in -4*v**4 + 14*v**2 + 9*v**4 + 5*v**3 + 11*v**2 - 45*v - 70*v**2 = 0?
-3, -1, 0, 3
Suppose -2/3*r**3 + 4/3*r + 2/3*r**2 + 0 = 0. What is r?
-1, 0, 2
Let w(q) be the second derivative of q**4/84 + q**3/21 + 4*q. Factor w(d).
d*(d + 2)/7
Let u(q) be the first derivative of q**6/2 - 3*q**4/4 - 10. Solve u(d) = 0 for d.
-1, 0, 1
What is q in 2/3*q**3 + 0*q**2 + 0 - 4/3*q**4 + 2/3*q**5 + 0*q = 0?
0, 1
Let v(t) be the first derivative of 3*t**5/20 - 3*t**4/2 + 9*t**3/2 - 81*t/4 + 3. Factor v(h).
3*(h - 3)**3*(h + 1)/4
Let v be (0 - 0)*2/4. Let l = -161 - -164. What is h in 0*h + v*h**2 + 1/3*h**4 - 1/3*h**l + 0 = 0?
0, 1
Let x(y) be the third derivative of -y**10/105840 + y**8/23520 + y**4/6 - 2*y**2. Let l(a) be the second derivative of x(a). Factor l(c).
-2*c**3*(c - 1)*(c + 1)/7
Factor 12 + 1/3*r**2 - 4*r.
(r - 6)**2/3
Factor -n - 10*n - 3*n + 5 + 12*n**2 - n**4 - 2*n**3.
-(n - 1)**3*(n + 5)
Let p(q) be the third derivative of -q**5/60 - 7*q**4/12 - 49*q**3/6 - 23*q**2. Factor p(a).
-(a + 7)**2
Let b(u) = -u - 1. Let l be b(6). Let n = 14 - 11. Let m(y) = 4*y**3 + 9*y**2 - 2. Let h(o) = 8*o**3 + 19*o**2 - 4. Let p(r) = l*m(r) + n*h(r). Solve p(q) = 0.
-1, 1/2
Suppose 1/6*k**2 - 5/3*k + 25/6 = 0. Calculate k.
5
Let i = -253/3 + 85. Let y be (6/(-7))/((-2)/7). Factor i*x**5 + 2*x**y + 0*x - 2/3*x**2 - 2*x**4 + 0.
2*x**2*(x - 1)**3/3
Let y(w) = 9*w**4 + 10*w**3 + w**2 - 4. Let m(k) = -8*k**4 - 10*k**3 - 2*k**2 + 3. Let c(q) = -4*m(q) - 3*y(q). Factor c(j).
5*j**2*(j + 1)**2
Let a(q) be the first derivative of 1/16*q**4 - 1/2*q + 5/8*q**2 - 2 - 1/3*q**3. Factor a(g).
(g - 2)*(g - 1)**2/4
Let a(q) = -3*q**3 + 3*q**2 - q. Let v(m) = m**3 + m**2 - m. Let p(w) = -a(w) - v(w). Determine i, given that p(i) = 0.
0, 1
Find x such that -5 - 4*x**3 + 4 - 4*x**2 + 4*x + 5 = 0.
-1, 1
Let b(p) be the second derivative of -1/3*p**4 + 0 - 1/12*p**5 + 6*p - 1/3*p**2 - 1/2*p**3. Factor b(y).
-(y + 1)**2*(5*y + 2)/3
Let j(n) be the first derivative of -n**6/5 + 4*n**5/25 + 24. Factor j(c).
-2*c**4*(3*c - 2)/5
Find n, given that -65*n**2 - 91 + 10*n**2 - 102*n + 271 - 18*n - 5*n**3 = 0.
-6, 1
Let i be 1 + (-3)/(-1) + 1. Let h = -3 + i. Determine u, given that 0*u**h - 2/7*u**3 + 2/7*u + 0 = 0.
-1, 0, 1
Let m(z) be the first derivative of -8*z**3/5 + 12*z**2 - 30*z + 21. Factor m(y).
-6*(2*y - 5)**2/5
Let o = 43 + -1. Let j be 7/o*(-8)/(-6). Factor j*m**3 + 0*m**2 + 0 - 2/9*m.
2*m*(m - 1)*(m + 1)/9
Factor -7*a**2 + 5*a**4 - 11 + 13 + 0 - 3*a + 3*a**3.
(a - 1)*(a + 1)**2*(5*a - 2)
Let b be (-10)/3 + (-6)/9. Let t be -2*b/3 - 0. Find u, given that -8/3*u - 2/3 - 4*u**2 - t*u**3 - 2/3*u**4 = 0.
-1
Let k(m) be the first derivative of 3*m**3 + 3*m**2 + 5. Find r such that k(r) = 0.
-2/3, 0
Find q, given that 22*q**3 - 28*q**4 + 0 - 23/4*q**2 + 1/2*q = 0.
0, 1/4, 2/7
Factor j**2 + 0 - 1/2*j + 0*j**3 - j**4 + 1/2*j**5.
j*(j - 1)**3*(j + 1)/2
Suppose -3*a = -0*m + 2*m, 0 = 2*m - a - 16. Let j(n) be the first derivative of 3*n**3 - 1 - 3*n**4 - 12*n + m*n**2 + 3/5*n**5. Let j(p) = 0. Calculate p.
-1, 1, 2
Let n = 57 - 35. Solve 28*o**5 - 4*o**4 + 4*o**2 - 3*o**3 - 3*o**3 - n*o**5 = 0.
-1, 0, 2/3, 1
Let g(f) be the second derivative of f**4/72 + f**3/12 - 2*f. What is t in g(t) = 0?
-3, 0
Let b(v) = -v + 2. Let q = -11 - -5. Let n be b(q). Let -n + 8 - 3*i**2 = 0. What is i?
0
Let y(q) = q**3 - 8*q**2 - 7*q - 1. Let x = 6 - 9. Let u(a) = 4*a**3 - 24*a**2 - 20*a - 2. Let v(k) = x*u(k) + 10*y(k). Factor v(h).
-2*(h + 1)**2*(h + 2)
Let v(u) = u + 1. Let j be v(1). Let i be (-6)/(-3*(-2)/(-4)). What is f in -i*f**2 + 4*f**j + 0*f**3 - 2*f**3 + 2*f**2 = 0?
0, 1
Let f(p) = -2*p**4 + 20*p**3 + 32*p**2 - 50. Let m(g) = -g**4 + g**3 - g**2 + 1. Let s(x) = -f(x) + 4*m(x). Factor s(t).
-2*(t - 1)*(t + 3)**3
Let 0 + 0*f - 1/4*f**2 - 1/2*f**3 + 3/4*f**4 = 0. Calculate f.
-1/3, 0, 1
Let b(r) = -r + 7. Let a be b(-3). Suppose 0 = 5*i + a, -2*i - 2*i = -4*z + 24. Factor 0 + 0*d + 0*d**3 - 2/9*d**z + 2/9*d**2.
-2*d**2*(d - 1)*(d + 1)/9
Let d be 5*((-222)/(-105) - 2). Factor 0*j**2 + 2/7*j**4 - 4/7*j**3 + d*j - 2/7.
2*(j - 1)**3*(j + 1)/7
Suppose 4*v - 3 = t, 4*t = 5*v + 3*t - 3. Factor y**3 + 11*y + 8*y**3 + v + 2*y + 2 + 20*y**2.
(y + 1)**2*(9*y + 2)
Let n(v) be the second derivative of -v**5/30 + v**4/6 + 7*v. Factor n(l).
-2*l**2*(l - 3)/3
Let y(o) be the second derivative of 1/54*o**4 + 1/9*o**2 - 2/135*o**6 + 1/9*o**3 + 0 - 1/30*o**5 - 3*o. Let y(v) = 0. What is v?
-1, -1/2, 1
Let v(g) be the second derivative of -5*g**4/12 - 5*g**3/6 + 15*g**2 + 13*g. Factor v(w).
-5*(w - 2)*(w + 3)
Let s = -8 - -12. Suppose 2*r + 14 = 5*f, -5*r + 5*f - 8 = -r. What is j in 2*j**2 - r*j**s + j**4 - 3*j**3 + 3*j**4 = 0?
0, 1, 2
Let n = -81/10 + 48/5. Factor -3/2*m**4 + m**3 + 1/2*m**5 + 1/2 + m**2 - n*m.
(m - 1)**4*(m + 1)/2
Let z(q) = -3*q**2 - 3*q. Let t(i) = -i**2 - i - 1. Let w(r) = 10*t(r) - 5*z(r). Factor w(v).
5*(v - 1)*(v + 2)
Let h = -11 + 15. Suppose 4*d = -3*s + 2*s + 20, -12 = -4*s + d. Factor j**3 - 3*j**s + 2*j**h + j**3 + 1 - 2*j.
-(j - 1)**3*(j + 1)
Let g = 1665 + -18311/11. Factor g*c**2 - 10/11*c**4 + 0*c + 0 - 6/11*c**3.
-2*c**2*(c + 1)*(5*c - 2)/11
Let l(z) = 13*z**4 + 17*z**3 + 9*z**2 - 5. Let a(m) = -m**4 - m**3 + m**2 - 1. Suppose -1 = r + 4. Let v(g) = r*a(g) + l(g). Factor v(k).
2*k**2*(k + 1)*(9*k + 2)
Let c(l) be the third derivative of l**6/24 + 5*l**5/48 + 5*l**4/96 - 12*l**2. Solve c(b) = 0.
-1, -1/4, 0
Let g(j) = j**3 - 9*j**2 + 10*j - 12. Let c be g(8). Let h = -2 + c. Facto