pose s(g) = 0. What is g?
0, 1
Let h be (3 + (-3)/1)*(9 - 10). Let j(y) be the third derivative of 0 + 1/210*y**5 + 0*y + h*y**3 + 4*y**2 + 1/84*y**4. Factor j(q).
2*q*(q + 1)/7
Let n be 27/21 - 1/1. Factor -2/7*c**3 + 0 - n*c**2 + 2/7*c + 2/7*c**4.
2*c*(c - 1)**2*(c + 1)/7
Suppose -n + 10 - 6 = 0. Determine s so that -s**2 + 0 - 1/3*s**n + s**3 + 1/3*s = 0.
0, 1
Let w be (1/(-3))/((-4)/48). Factor -t**2 + 3*t + 3*t - t - w*t.
-t*(t - 1)
Suppose 4*d = -v - 0*d + 23, 3*v - 2*d + 1 = 0. Suppose 6*m - 130 = m - 4*l, -5*l = -5*m + 130. Factor 5*g - 3*g + m*g**3 - 28*g**v.
-2*g*(g - 1)*(g + 1)
Let i(d) be the second derivative of 0*d**4 - 2/33*d**3 + 0 + 1/11*d**2 + 1/55*d**5 - 1/165*d**6 + 5*d. Factor i(o).
-2*(o - 1)**3*(o + 1)/11
Let g(h) be the first derivative of 14/3*h**3 + 7 + 9*h**2 + 4*h. What is i in g(i) = 0?
-1, -2/7
Let d(k) be the first derivative of -2*k**5/5 - 5*k**4/4 + 8*k**3/3 + 17*k**2/2 + 6*k + 19. What is f in d(f) = 0?
-3, -1, -1/2, 2
Let z(p) be the second derivative of 0*p**2 + 0 + 1/12*p**3 + 2*p + 0*p**4 - 1/40*p**5. Factor z(f).
-f*(f - 1)*(f + 1)/2
Let -2 - h**4 + 11 + 6*h - 8*h**2 - 16*h**2 - 6*h**3 + 16*h**2 = 0. What is h?
-3, -1, 1
Factor -495*i**2 - 1 - 375*i**4 + 310*i**3 - 93*i - 5 - 1285*i**3.
-3*(i + 2)*(5*i + 1)**3
Let b(x) be the first derivative of -2/35*x**5 + 8/7*x + 2/21*x**3 - 8/7*x**2 - 1/21*x**6 - 1 + 5/14*x**4. Factor b(h).
-2*(h - 1)**3*(h + 2)**2/7
Let c(l) be the second derivative of -4/9*l**3 - 4/3*l**2 + 0 - 3*l - 1/18*l**4. Factor c(z).
-2*(z + 2)**2/3
Let b(x) = x**2 + x - 1. Let v(a) = 2*a**4 + 10*a**3 + 22*a**2 + 22*a - 22. Let f(r) = -44*b(r) + 2*v(r). Find n such that f(n) = 0.
-5, 0
Let q(o) be the third derivative of 1/330*o**5 + 0*o - 4*o**2 + 0*o**3 + 0 + 1/66*o**4. Determine n, given that q(n) = 0.
-2, 0
Let b be 6/(-4)*4/(-3). Factor -r**3 - 2*r**b - r**4 + r**2 - r**3.
-r**2*(r + 1)**2
Let 63*t**2 + 2 - 8 - 12*t**2 - 45*t = 0. Calculate t.
-2/17, 1
Let c(z) be the second derivative of -z**7/630 + z**5/90 - z**3/18 - 3*z**2/2 + 2*z. Let w(s) be the first derivative of c(s). Factor w(v).
-(v - 1)**2*(v + 1)**2/3
Let y(v) be the first derivative of 1/7*v**3 + 15/28*v**4 + 0*v**2 + 0*v + 12/35*v**5 - 5. Factor y(l).
3*l**2*(l + 1)*(4*l + 1)/7
Let x(q) be the second derivative of -q**6/6 - 4*q**5 - 65*q**4/2 - 280*q**3/3 - 245*q**2/2 - 8*q. Factor x(y).
-5*(y + 1)**2*(y + 7)**2
Let v = -1 + 3. Factor -2/7*j**v + 0 - 2/7*j**5 + 2/7*j**4 + 0*j + 2/7*j**3.
-2*j**2*(j - 1)**2*(j + 1)/7
Let w(z) be the second derivative of 0*z**2 + 1/100*z**5 - 1/150*z**6 + 0 - 1/30*z**3 + 1/60*z**4 - z. Factor w(j).
-j*(j - 1)**2*(j + 1)/5
Let g(p) = 15*p**2 - 19*p + 11. Let x(f) = 5*f**2 - 6*f + 4. Let w(r) = -4*g(r) + 11*x(r). Find h, given that w(h) = 0.
0, 2
Solve 2/5*u**3 + 0 - 2/5*u - 2/5*u**2 + 2/5*u**4 = 0.
-1, 0, 1
Let y be 21/(-35) + 182/270. Let b(g) be the first derivative of 0*g - y*g**3 + 0*g**4 + 0*g**2 - 1 + 2/45*g**5. Factor b(q).
2*q**2*(q - 1)*(q + 1)/9
Find u, given that -138*u**2 - 4*u + 88*u**2 + 9*u + 125*u**3 = 0.
0, 1/5
Factor 5*j**2 - 2 - 5*j**3 + 10*j + 6 - 4.
-5*j*(j - 2)*(j + 1)
Let k(u) be the third derivative of -1/30*u**5 - 3*u**2 + 1/6*u**4 + 0 + 0*u + 0*u**3. Factor k(g).
-2*g*(g - 2)
Suppose -6 = -3*x - 3*b, 2 + 4 = x - 3*b. Suppose -5*h = 2*g + 25, -x*h - 5 = 4*g - 2*h. Determine c, given that 1/2*c**2 + g + 0*c - 1/2*c**3 = 0.
0, 1
Suppose 18*t - 15*t = 15. Let i(x) be the first derivative of -20/3*x**3 + 5*x**2 + 1/3*x**6 - 2*x**5 - 2*x - 3 + t*x**4. Factor i(c).
2*(c - 1)**5
What is k in 0*k**3 - 1/4*k**5 + 1/2*k**2 + 1/4*k - 1/2*k**4 + 0 = 0?
-1, 0, 1
Let q be 0 + (1 - 2 - -1). Let k = 11 + -8. Find g such that 1/2*g**4 + 1/2*g**2 + 0 + q*g + g**k = 0.
-1, 0
Let y be 1 + 3 - (2 + 9). Let x be (-2)/6 - y/7. Find h, given that h**4 + 7/3*h**2 + 8/3*h**3 + 0 + x*h = 0.
-1, -2/3, 0
Let g(s) be the first derivative of s**7/735 - s**5/210 + 2*s**2 - 4. Let f(b) be the second derivative of g(b). Find p such that f(p) = 0.
-1, 0, 1
Determine j, given that -58*j**3 + 2*j**2 + 5*j**2 + 54*j**3 + 5*j**2 = 0.
0, 3
Factor -8*j**2 - 9 + 10*j + 4*j**2 - j + 3*j.
-(2*j - 3)**2
Let g(n) = n**3 - 4*n**2 - 4*n - 5. Let i be g(5). Let v be (i + 2)/((-6)/(-9)). What is d in 0 - 3/4*d**2 - 1/4*d**4 + 1/4*d + 3/4*d**v = 0?
0, 1
Let n(o) be the third derivative of -o**5/20 + o**4/8 + o**3 - 32*o**2. Factor n(b).
-3*(b - 2)*(b + 1)
Suppose 2*r - 8 = -2*r. Solve -17*d**2 + 18*d**4 + 53*d**r + 8*d + 39*d**3 + 4*d + 3*d**5 = 0 for d.
-2, -1, 0
Suppose 0 = 5*v - 3*f - 3, f - 2 + 7 = 3*v. Factor 3*a**3 + 3*a + 3*a**4 - 3*a**v - 2*a**3 - a**3 - 3*a**2.
3*a*(a - 1)**2*(a + 1)
Let m(u) be the third derivative of 0*u + 1/315*u**7 + 0*u**3 + 1/90*u**5 + 0*u**4 + 0 + 1/90*u**6 - 5*u**2. Solve m(y) = 0 for y.
-1, 0
Let p(m) = -m**2 - 7*m - 7. Let g be p(-5). Suppose 3 + g = 3*b. Factor 0*i - 2/3 + 2/3*i**b.
2*(i - 1)*(i + 1)/3
Factor 1/4*d**2 + 1/2 + 9/8*d.
(d + 4)*(2*d + 1)/8
Let d(b) = -b**2 + 2*b + 2. Let l be d(4). Let j(v) = -3*v**2 + 6*v - 6. Let x(s) = 6*s**2 - 11*s + 11. Let q(a) = l*x(a) - 11*j(a). Factor q(y).
-3*y**2
Let n be (-4)/60*-3*15. Let v(x) be the first derivative of 0*x + 1/6*x**n + 1 + 0*x**2. Suppose v(a) = 0. What is a?
0
Let t(w) = -47*w**4 - 143*w**3 - 120*w**2 + 33*w - 7. Let r(o) = 23*o**4 + 72*o**3 + 60*o**2 - 17*o + 3. Let d(h) = -7*r(h) - 3*t(h). Factor d(k).
-5*k*(k + 2)**2*(4*k - 1)
Suppose -m = 5*i - 24, 2*i + 4*m + 3 = 9. Suppose 0 = -3*b + i*n + 29, n + 12 = b - 3*n. Find w, given that b*w**2 - w**4 - 8*w**2 = 0.
0
Let m(y) be the third derivative of -y**8/10920 + y**7/1820 - y**6/780 + y**5/780 - y**4/24 - 2*y**2. Let p(h) be the second derivative of m(h). Factor p(s).
-2*(s - 1)**2*(4*s - 1)/13
Let y(v) = -45*v**2 - 7*v - 5. Let c(n) = n + 1. Let h(q) = 5*c(q) + y(q). Factor h(u).
-u*(45*u + 2)
Let q = -14 + 19. Let m(h) = -h**3 + h - 1. Let v(w) = -w**4 + 3*w**3 - 3*w + 6. Let u(t) = q*m(t) + v(t). Factor u(p).
-(p - 1)*(p + 1)**3
Let g(y) be the third derivative of y**7/70 + y**6/40 - y**5/20 - y**4/8 - 7*y**2. Determine q, given that g(q) = 0.
-1, 0, 1
Let a(h) = h - 4. Let s = 0 - -6. Let w be a(s). Let p**5 - 3 - 2*p**4 - p + 2*p**w + 3 = 0. Calculate p.
-1, 0, 1
What is n in -3/4*n**5 - 1/4 - 1/4*n**4 - 3/4*n + 3/2*n**3 + 1/2*n**2 = 0?
-1, -1/3, 1
Let m = -2 + 6. Let s(p) be the second derivative of -13/36*p**m - 2/3*p**2 + p - 2/3*p**3 - 1/10*p**5 + 0 - 1/90*p**6. Find r, given that s(r) = 0.
-2, -1
Let j be 3/6*1 - (-5)/(-10). Let o(g) be the first derivative of j*g**2 - 1/24*g**6 + 0*g + 2 + 1/16*g**4 - 1/20*g**5 + 1/12*g**3. Factor o(s).
-s**2*(s - 1)*(s + 1)**2/4
Let r be -4*(-3 + 2 + 0). Suppose -32 = -4*u - 2*l, 4*u = -l + r*l + 32. Let -u*s**3 - 6*s**3 + 9*s**2 - 4*s + 0*s**3 + 9*s**2 = 0. Calculate s.
0, 2/7, 1
Let l be (727/360 - (-4 + 3)) + -3. Let t(v) be the third derivative of -l*v**5 + 1/72*v**4 - 3*v**2 + 0*v**3 + 0*v + 0. Determine s so that t(s) = 0.
0, 2/7
Let l(a) be the first derivative of 3/4*a**4 + 1/6*a**2 + 0*a + 2 - 2/3*a**3 - 4/15*a**5. Factor l(u).
-u*(u - 1)**2*(4*u - 1)/3
Let l be 70/(-28)*(-8)/10. Let r(h) be the second derivative of 1/3*h**2 - l*h + 1/12*h**4 - 5/18*h**3 + 0 + 1/60*h**5 - 1/90*h**6. Factor r(k).
-(k - 1)**3*(k + 2)/3
Suppose -p = 4*p. Let w be 2 + p - (-50)/(-35). Determine k, given that -w + 2/7*k + 2/7*k**2 = 0.
-2, 1
Let t = -7 - -7. Suppose -4*g + 5*g = t. Find c, given that 4/7*c**3 + 0*c**2 - 2/7*c**5 - 2/7*c + 0*c**4 + g = 0.
-1, 0, 1
Let p = -5 - -8. Factor -2 - d**3 + 12*d**2 - 3*d - 4*d**p - 3*d**3 + d**3.
-(d - 1)**2*(7*d + 2)
Let z(m) be the second derivative of -m**7/126 - 11*m**6/360 - 7*m**5/180 - m**4/72 + m**2/2 - 2*m. Let o(l) be the first derivative of z(l). Factor o(v).
-v*(v + 1)**2*(5*v + 1)/3
Suppose -l = -3, 3*l + l = -2*i - 10. Let w(c) = -4*c**2 - 15*c. Let d(z) = 2*z**2 + 8*z. Let m(b) = i*d(b) - 6*w(b). Determine o so that m(o) = 0.
-1, 0
Factor -g + 25/4*g**3 + 3*g**2 + 0 + 9/4*g**4.
g*(g + 1)*(g + 2)*(9*g - 2)/4
Let y(n) = 6*n**4 - 6*n**3 + 9*n**2. Let z(t) = -7*t**4 + 5*t**3 - 10*t**2. Let o(a) = -4*y(a) - 3*z(a). Determine s, given that o(s) = 0.
0, 1, 2
Let f(h) = -h**5 - 5*h**4 + h**3 + 5*h**2 - 5. Let b(q) = -2*q**5 - 7*q**4 + 2*q**3 + 7*q**2 - 7. Let v(a) = 5*b(a) - 7*f(a). 