 the third derivative of 3*g**2 + 2/3*g**3 + 0 + 1/4*g**4 + 7/60*g**6 + 0*g - 2/5*g**5. Determine m so that d(m) = 0.
-2/7, 1
Let w(c) be the third derivative of c**8/56 - c**7/14 + 3*c**6/40 + c**5/20 - c**4/8 - 4*c**2. Find y, given that w(y) = 0.
-1/2, 0, 1
Let x(v) be the first derivative of 1 + 0*v - v**4 + 0*v**2 + 2/3*v**3. Factor x(j).
-2*j**2*(2*j - 1)
Let g(q) = -q - 2. Let r be g(-6). Let m(n) be the first derivative of -2 - 1/5*n**2 + 0*n + 2/25*n**5 + 2/5*n**3 - 3/10*n**r. Suppose m(v) = 0. Calculate v.
0, 1
Let d(b) be the first derivative of b**4/10 + 2*b**3/15 + 1. Find n, given that d(n) = 0.
-1, 0
Suppose 0 = -y + k + 2, -2*k - 2*k - 4 = -2*y. Factor 10 - y*x**2 - 18 + 0*x**2 - 2*x - 6*x.
-2*(x + 2)**2
Suppose 0 = 3*t - t + 10, 2*t + 1 = -3*f. Suppose m - 3*y = f*m, -2*m = 5*y. Factor 0 + 1/5*j**3 + 1/5*j**2 + m*j.
j**2*(j + 1)/5
Let q be (31/5 - 5)/(4/10). Suppose 6/11*t**q + 6/11*t**2 + 0 + 2/11*t**4 + 2/11*t = 0. What is t?
-1, 0
Let k(r) be the first derivative of -r**6/60 + r**5/30 + r**4/6 - 3*r**2/2 + 3. Let q(j) be the second derivative of k(j). Factor q(h).
-2*h*(h - 2)*(h + 1)
Let n(d) be the third derivative of -3*d**2 + 7/108*d**4 - 7/540*d**6 + 0*d + 1/135*d**5 - 2/27*d**3 + 0. Suppose n(u) = 0. What is u?
-1, 2/7, 1
Let r(s) = -5*s**2 + 1. Let n(c) = 30*c**2 - 5. Let v(o) = 4*n(o) + 25*r(o). Solve v(m) = 0 for m.
-1, 1
Let c(j) = 6*j - 4. Let n be c(3). Factor -n*g**2 - 6*g**3 + 6 - 2 + 10*g**4 + 5*g + g.
2*(g - 1)**2*(g + 1)*(5*g + 2)
Let c(g) be the first derivative of -g**3/12 + 3*g**2/4 - 9*g/4 - 9. Factor c(y).
-(y - 3)**2/4
What is a in -4*a + a**3 - 3*a + 4*a**2 + 13*a - 3*a = 0?
-3, -1, 0
Let f(k) be the second derivative of 5/12*k**3 - 3*k + 1/2*k**2 + 0 - 1/12*k**4 - 1/8*k**5. Find a such that f(a) = 0.
-1, -2/5, 1
Let v be (-8)/3 - (-1)/(-3). Let p be ((0/(-1))/v)/2. Let 1 + 0*o**3 - o**2 - o**3 + o + p*o = 0. Calculate o.
-1, 1
Let i(f) = f**3 - 7*f**2 - f + 9. Let u be i(7). Suppose 7*c + 24 = 4*t + 3*c, 0 = -t + 4*c + 12. Factor -1/3*s**t + 0*s - 4/3*s**3 + 0 - 4/3*s**u.
-s**2*(s + 2)**2/3
Factor 45*c**3 - 60*c + 5*c**5 - 20*c**2 + 48*c**4 - 22*c**4 + 0*c**4 + 4*c**4.
5*c*(c - 1)*(c + 2)**2*(c + 3)
Let j be (60/35)/((-4)/(-14)). Suppose 12 = -j*d + 10*d. Factor 2/7*t**d - 2/7*t - 2/7*t**4 + 2/7*t**2 + 0.
-2*t*(t - 1)**2*(t + 1)/7
Let h be (-6)/(-21) - 339/1260. Let f(r) be the third derivative of 2*r**2 - 1/3*r**3 + 0 + 1/8*r**4 + 0*r - h*r**5. Factor f(t).
-(t - 2)*(t - 1)
Let w(a) = a**5 - 6*a**4 - 4*a**3 - 6*a**2 - a + 2. Let b(j) = j**5 - j**4 - 2*j + j**3 - j - j**2 + 1 + 3*j. Let g(p) = 6*b(p) - 3*w(p). Factor g(u).
3*u*(u + 1)**4
Let b be (2/3)/(2/(-6)). Let g(k) = k**3 + 4*k**2 + 2*k - 2. Let q be g(b). Solve 2*j**5 - 7 + q*j - 8*j**4 - 8*j**2 + 7 + 12*j**3 = 0.
0, 1
Suppose 29 = 11*t - 26. Let b(w) = w + 2. Let q be b(2). Suppose -8*m**3 + 3*m**q + 38*m**3 - 4*m - 18*m**4 - 23*m**4 + 14*m**t - 2*m**2 = 0. Calculate m.
-2/7, 0, 1
Let x(j) be the second derivative of -5*j**4/18 + 2*j**3/9 + 6*j. Find y such that x(y) = 0.
0, 2/5
Let l(o) be the second derivative of -9*o**7/56 - 3*o**6/20 - 3*o**5/80 + 5*o. Solve l(s) = 0 for s.
-1/3, 0
Factor -4*x**4 + 3*x**4 - x**3 + 3*x**3 + 3*x**4.
2*x**3*(x + 1)
Suppose 5*f - 10 = 5*m + 10*f, -m + 3*f = -14. Suppose 0*r**m - 4/9*r**3 + 2/9 + 4/9*r - 2/9*r**4 = 0. What is r?
-1, 1
Let z(d) = -2*d - 2. Let p be z(-2). Let r be (12/(-30))/((-2)/10). Solve -p - h**3 - 3*h + 2*h + 2*h**r + 2 = 0.
0, 1
Find d, given that 0 + 8/5*d**3 - 4/5*d**2 + 0*d - 4/5*d**4 = 0.
0, 1
Suppose 17 - 17 = -10*a. Solve -2/7*u**2 + 2/7 + a*u = 0.
-1, 1
Let c(z) be the third derivative of -z**6/270 - z**5/27 - 7*z**4/54 - 2*z**3/9 + 24*z**2. Determine s so that c(s) = 0.
-3, -1
Find u, given that 10/11*u**4 - 4/11*u - 2/11*u**5 + 14/11*u**2 + 0 - 18/11*u**3 = 0.
0, 1, 2
Let v be ((-2)/8)/(-3*(-1)/(-4)). Find t, given that -t**2 + 0*t - v*t**3 + 4/3 = 0.
-2, 1
Factor -4/21*i - 2/21*i**2 + 2/21*i**3 + 0.
2*i*(i - 2)*(i + 1)/21
Let w(p) be the third derivative of 0*p + 1/60*p**6 - 1/12*p**4 + 0*p**3 - 2*p**2 + 0*p**5 + 0. Determine z so that w(z) = 0.
-1, 0, 1
Let b be (12/(-4587))/((-4)/1646). Let l = b - -2/139. What is f in -l*f**2 - 24/11*f - 16/11 - 2/11*f**3 = 0?
-2
Factor 25/4*o**3 + 5/4*o + 0 + o**4 + 13/2*o**2.
o*(o + 1)*(o + 5)*(4*o + 1)/4
Let w(u) be the first derivative of 2*u**3/3 - 2*u**2 - 6*u + 11. What is c in w(c) = 0?
-1, 3
Let q(u) be the third derivative of -u**5/360 + u**4/144 - 30*u**2. Solve q(g) = 0 for g.
0, 1
Suppose -4 = -d - d. Factor -r**2 - 6*r**3 + 3*r + 0*r**3 + 3*r**5 + r**d.
3*r*(r - 1)**2*(r + 1)**2
Let u(s) = 6*s**2 - 2*s - 5. Let d(q) = -5*q**2 + q + 4. Let j(k) = 5*d(k) + 4*u(k). Suppose j(y) = 0. What is y?
-3, 0
Let f(w) = -3*w**2 - 8*w - 14. Let u(y) = -10*y**2 - 24*y - 41. Let c(t) = 21*f(t) - 6*u(t). Factor c(j).
-3*(j + 4)**2
Let z(m) = -m**4 - m**3 + 3. Suppose 2*v + 30 = 5*v. Let d(k) = 2*k**4 + 2*k**3 - 5. Let i(w) = v*z(w) + 6*d(w). Solve i(o) = 0 for o.
-1, 0
Let g = 1/171 - -2108/171. Let x = g + -12. Suppose 1/3 + x*c**4 + 4/3*c**3 + 2*c**2 + 4/3*c = 0. Calculate c.
-1
Find i, given that 12*i**3 + 10*i - 23*i - 10*i**4 + 13*i**3 + 5*i**2 - 17*i = 0.
-1, 0, 3/2, 2
Let s(v) be the third derivative of v**5/75 - 3*v**4/80 + v**3/60 + v**2. Factor s(o).
(o - 1)*(8*o - 1)/10
Let j(g) be the first derivative of g**5/20 + g**4/8 - g**3/3 - g**2/4 + 3*g/4 + 19. Factor j(b).
(b - 1)**2*(b + 1)*(b + 3)/4
Let y(g) be the second derivative of 1/24*g**4 + 1/40*g**5 - 5*g - 1/6*g**3 + 0*g**2 + 0. Solve y(k) = 0 for k.
-2, 0, 1
Let d be (-25)/(-35)*(-144)/10. Let p = d + 662/63. Find s, given that 0 + 0*s - 4/9*s**2 + 2/9*s**4 - p*s**3 = 0.
-1, 0, 2
Let k(a) = a**3 + 10*a**2 - 2*a - 6. Let x be k(-10). Let 10*b**2 - b - b - 2*b**3 - x*b + 8 = 0. What is b?
1, 2
Let x(q) be the second derivative of -q**8/5040 + q**7/630 - q**6/270 + 5*q**3/3 + 7*q. Let z(o) be the second derivative of x(o). Factor z(i).
-i**2*(i - 2)**2/3
Let v(b) = 7*b**5 + b**4 - 3*b**3 + 5*b - 5. Let o(p) = 4*p**5 + p**4 - 2*p**3 + 3*p - 3. Let c(q) = -10*o(q) + 6*v(q). Factor c(d).
2*d**3*(d - 1)**2
Factor -2/7*r + 5*r**3 + 0 - 3/7*r**2.
r*(5*r + 1)*(7*r - 2)/7
Let c(x) be the third derivative of -1/180*x**5 + 0*x + 1/18*x**3 - 1/360*x**6 + 0 - 3*x**2 + 1/72*x**4. Factor c(g).
-(g - 1)*(g + 1)**2/3
Let y(g) be the first derivative of 7*g**5/15 + 4*g**4/3 + 11*g**3/9 + g**2/3 + 3. What is q in y(q) = 0?
-1, -2/7, 0
Let z(h) be the second derivative of -7*h**4/18 - 2*h**3/9 + 4*h. Determine m so that z(m) = 0.
-2/7, 0
Let j(a) be the second derivative of -3*a**5/20 - a**4/4 + 2*a. Let x(c) = 10*c**3 + 10*c**2. Let v(o) = 7*j(o) + 2*x(o). Factor v(g).
-g**2*(g + 1)
Suppose -5*q - 9 = 3*i + 11, 0 = -3*i + q + 4. Suppose i + 1/2*v + 7/4*v**3 - 9/4*v**5 + 9/4*v**4 - 9/4*v**2 = 0. Calculate v.
-1, 0, 1/3, 2/3, 1
Let o(q) = -9*q + 81. Let r be o(9). Find i such that 0*i**2 - 4/5*i**4 + 0 + 2/5*i**5 + 0*i + r*i**3 = 0.
0, 2
Let c(z) be the first derivative of -z**5 - 5*z**4/4 + 5*z**3 + 5*z**2/2 - 10*z - 10. Factor c(d).
-5*(d - 1)**2*(d + 1)*(d + 2)
Let p be -1 + 1 - 6/(-36). Let x(u) = u - 4. Let z be x(4). Find k, given that z*k**3 - 1/6*k + p*k**5 + 0 + 1/3*k**2 - 1/3*k**4 = 0.
-1, 0, 1
Let m(x) = -8*x**3 - 2*x**2 + 3*x - 3. Let w(a) = -8*a**3 - 2*a**2 + 2*a - 4. Let g(d) = 6*m(d) - 5*w(d). Factor g(l).
-2*(l - 1)*(l + 1)*(4*l + 1)
Let n(t) = t**2 - 8*t + 7. Let o be n(7). Let y(f) be the first derivative of o*f - 2*f**2 + 2/3*f**3 - 1. Factor y(z).
2*z*(z - 2)
Suppose -3*h - h + 3*f = 28, -3*h + 4*f = 28. Let d be (-874)/(-207) + h/18. Let 1/3*j**5 + 1/3*j + 0*j**2 - 2/3*j**3 + 0 + 0*j**d = 0. What is j?
-1, 0, 1
Let c(r) be the second derivative of -r**6/10 + 3*r**5/20 - 8*r. Factor c(g).
-3*g**3*(g - 1)
Let x(k) be the third derivative of -k**5/30 + k**4/3 - 30*k**2. Factor x(a).
-2*a*(a - 4)
Determine b, given that -1/4 - 3/4*b - 3/4*b**2 - 1/4*b**3 = 0.
-1
Let h be 4/1 - (0/2 - -1). Determine r so that r**2 - 1/2*r**h + 0 - 1/2*r = 0.
0, 1
Let a(c) = 14*c**2 - 10*c - 8. Let q = 21 + -10. Let f(b) be the first derivative of 41*b**3/3 - 29*b**2/2 - 23*b + 4. Let m(d) = q*a(d) - 4*f(d). Factor m(z).
-2*(z - 1)*(5*z + 2)
Factor -4*k**3 + 6*k**4 + 0*k - 4*k + 10*k**2 - 30*k**2 