k = 2, -5*d + 25 = -2*l. Factor 0*p**2 + 0 - 1/3*p**d - 2/3*p**4 - 1/3*p**5 + 0*p.
-p**3*(p + 1)**2/3
Let s be 332/68 - (-2)/(-4). Let w = s + 2/17. What is r in w*r**2 + 1/2 - 3*r = 0?
1/3
Let v(g) be the third derivative of g**5/12 - 5*g**3/6 - g**2. Factor v(o).
5*(o - 1)*(o + 1)
Let r(o) = -o**3 - o**2 - o. Suppose 0 = i - 4. Let b(s) = -s**2 + 5*s. Let y be b(i). Let q(t) = -3*t**3 - 3*t**2 - 4*t. Let z(j) = y*r(j) - q(j). Factor z(v).
-v**2*(v + 1)
Suppose 0 = 4*w - 4*n - 80, 5*w + 5*n + 0*n = 110. Let x be ((-6)/(-16))/(w/14). Factor 1/4*q + 1/4*q**2 - 1/4*q**3 - x.
-(q - 1)**2*(q + 1)/4
Let u(s) be the first derivative of -8*s**6/5 - 6*s**5/5 + 7*s**4/4 - s**3/2 - 7*s - 3. Let d(l) be the first derivative of u(l). Factor d(j).
-3*j*(j + 1)*(4*j - 1)**2
Let h(o) be the second derivative of o**6/150 + o**5/25 + o**4/15 + o. Let h(f) = 0. What is f?
-2, 0
Let d be 4/(-10) - (-17)/5. What is u in 58 - u**4 - 58 + u**d + 2*u**2 = 0?
-1, 0, 2
Suppose 0 = -20*h + 18*h + 4. Find n such that -1/5*n**h - 1/5*n + 2/5 = 0.
-2, 1
Let d(m) be the second derivative of 2*m**5/35 - 5*m**4/42 + m**3/21 - 2*m. Factor d(v).
2*v*(v - 1)*(4*v - 1)/7
Let m(d) = -12*d**3 + 37*d**2 + 18*d. Let b(p) = -p**3 + p**2 - p. Let w(j) = 3*b(j) + m(j). Factor w(v).
-5*v*(v - 3)*(3*v + 1)
Let n(r) be the second derivative of 3/20*r**5 - 1/42*r**7 - 1/30*r**6 + 0*r**2 + 1/3*r**3 + 0 + 5/12*r**4 + 2*r. Factor n(a).
-a*(a - 2)*(a + 1)**3
Let j(x) = 6*x**4 - 6*x**3 - 23*x**2 + 30*x - 7. Let d(s) = 9*s**4 - 9*s**3 - 35*s**2 + 45*s - 10. Let v(u) = 5*d(u) - 8*j(u). Suppose v(f) = 0. Calculate f.
-2, 1
Let j(r) be the first derivative of r**5/15 - 4*r**4/3 + 32*r**3/3 + 11*r**2/2 - 3. Let g(a) be the second derivative of j(a). Factor g(f).
4*(f - 4)**2
Let n(m) be the second derivative of m**5/35 + m**4/21 - 4*m**3/7 + 13*m. Determine h so that n(h) = 0.
-3, 0, 2
Let z(t) = -t**4 + t**3 + t**2 - t + 1. Let n(m) = -15*m**4 - 30*m**3 + 10*m**2 + 30*m. Let w(j) = -n(j) - 5*z(j). Factor w(u).
5*(u - 1)*(u + 1)**2*(4*u + 1)
Let k = -46 + 93/2. Factor -2*m**2 - 2*m**4 - 3*m**3 + 0 - 1/2*m**5 - k*m.
-m*(m + 1)**4/2
Let z(k) = -k. Suppose 3*y = 2*f, -f + 4*y + y - 14 = 0. Let s(a) = -a**2 - 7*a + 2. Let d(q) = f*z(q) - s(q). Factor d(r).
(r - 1)*(r + 2)
Let k(b) = -25*b**4 - b**3 - 25*b**2 - 17*b. Let g(x) = 3*x**4 + 3*x**2 + 2*x. Let n = 10 - 16. Let f(d) = n*k(d) - 51*g(d). Find r such that f(r) = 0.
0, 1
Let l be (-4)/(-66)*(-82)/1. Let n = 4/11 - l. Solve 2*r**4 + 14/3*r**2 + n*r**3 + 0 + 4/3*r = 0 for r.
-1, -2/3, 0
Let v(a) = -14*a**3 - 8*a**2 - 2*a - 8. Let x(w) = 9*w**3 + 7 + w - 2 + 3*w**2 + 2*w**2. Let p(t) = 5*v(t) + 8*x(t). Find h such that p(h) = 0.
-1, 0, 1
Let n(r) be the second derivative of -r**7/357 + r**6/51 - r**5/17 + 5*r**4/51 - 5*r**3/51 + r**2/17 - 10*r. Suppose n(p) = 0. Calculate p.
1
Let g(x) be the second derivative of 1/6*x**3 + 3*x + 1/4*x**4 + 0*x**2 + 0 - 1/5*x**5. Factor g(y).
-y*(y - 1)*(4*y + 1)
Let t(k) = -k**2 + 3*k**2 - 4*k + 6 - k**2 + 0*k**2. Let p(s) = -s + 1. Let h(o) = -6*p(o) + t(o). Factor h(a).
a*(a + 2)
Let z(b) be the third derivative of -1/15*b**5 - 1/30*b**6 + 0*b + 8*b**2 + 1/6*b**4 + 0 + 2/3*b**3. Factor z(g).
-4*(g - 1)*(g + 1)**2
Let d(x) be the second derivative of 1/4*x**4 + 0*x**2 + 1/20*x**5 + 1/3*x**3 - x + 0. Find w such that d(w) = 0.
-2, -1, 0
Let q be (-22 + 18)/(4*-3). Factor -1/3*h - 2/3 + q*h**3 + 2/3*h**2.
(h - 1)*(h + 1)*(h + 2)/3
Let c(y) be the first derivative of 0*y**2 + 3 + 3/4*y**4 + 0*y + 0*y**3. Solve c(s) = 0.
0
Let j(w) = -w. Let f(b) = 5*b + 2. Let g(r) = -f(r) - 4*j(r). Let s be g(-4). Factor -2/7*u + 4/7*u**3 - 2/7*u**5 - 2/7 - 2/7*u**4 + 4/7*u**s.
-2*(u - 1)**2*(u + 1)**3/7
Suppose -38*c = -33*c + 15. Let a be c - (-1)/(-2)*-6. Suppose -2/9*x**4 + a - 2/9*x**3 + 2/9*x + 2/9*x**2 = 0. Calculate x.
-1, 0, 1
Let d(a) = -2*a**3 - 2*a**2 + 4*a. Let h(z) = -z**3 + z. Let t(w) = -d(w) + 4*h(w). Let t(y) = 0. Calculate y.
0, 1
Find r, given that -1/2*r**2 + 0 + 1/6*r**3 + 1/3*r = 0.
0, 1, 2
Let x be ((-224)/(-105))/16*(1 - -8). Factor x*n - 3/5*n**2 + 0.
-3*n*(n - 2)/5
Let s(t) be the first derivative of -4*t**5/5 + t**4/2 + 4*t**3/3 - t**2 + 4. Factor s(o).
-2*o*(o - 1)*(o + 1)*(2*o - 1)
Let r(i) be the second derivative of 5*i**7/252 - i**6/10 + 11*i**5/60 - i**4/9 - i**3/12 + i**2/6 + 12*i. Factor r(m).
(m - 1)**4*(5*m + 2)/6
Let k(w) = 4*w**2 - 4*w. Let g(s) = 17*s**2 - 17*s. Let m(t) = -2*g(t) + 9*k(t). Factor m(b).
2*b*(b - 1)
Factor 0 - 4/7*u - 2/7*u**2.
-2*u*(u + 2)/7
Solve -4/7*p**3 - 24/7*p**2 + 4/7*p + 24/7 = 0.
-6, -1, 1
Let b(k) be the first derivative of -2*k**3/3 - 5*k**2 - 12*k - 8. Solve b(o) = 0.
-3, -2
Suppose 5*x + 3*f - 16 = 0, 2*x - f + 1 - 14 = 0. Suppose -o - 2*m = -2, -o - m + 2 = -x*m. Solve -2/5 + 0*t + 2/5*t**o = 0 for t.
-1, 1
Let a(b) = -b**3 + 2*b**2 + 2. Let s(k) = -k**2 - 1. Let y(w) = -a(w) - 2*s(w). Determine u so that y(u) = 0.
0
Suppose -5*j = -0*j + 15, 0 = -3*p - 3*j - 9. Let s = 64 + -255/4. Factor 1/4*i - s*i**3 + 0 + p*i**2.
-i*(i - 1)*(i + 1)/4
Suppose -69*k + 12*k + 228 = 0. Suppose 0*d - 2/7*d**5 + 4/7*d**2 + 0*d**k + 6/7*d**3 + 0 = 0. What is d?
-1, 0, 2
Let m(h) be the second derivative of 1/18*h**4 - 4*h + 1/45*h**6 + 0*h**3 + 1/15*h**5 + 0 + 0*h**2. Factor m(r).
2*r**2*(r + 1)**2/3
Factor -7*s**2 - 16*s**4 - 2*s**5 + 2*s + 3*s**2 + 20*s**4.
-2*s*(s - 1)**3*(s + 1)
Let g be 39/18 + 4/(-2). Let i(o) be the third derivative of -g*o**3 + 0*o + 0 - o**2 - 1/60*o**5 + 1/12*o**4. Factor i(b).
-(b - 1)**2
Let z be 2*6/(-64)*-1. Let j(c) be the first derivative of 3/4*c**3 + 3 - z*c**4 - 3*c + 0*c**2. Factor j(s).
-3*(s - 2)**2*(s + 1)/4
Suppose -2 = -4*d + 2. Find y, given that 2*y**2 - d + y**2 + 3*y**2 - 6*y + 3 - 2*y**3 = 0.
1
Suppose -21*r - 2 = -22*r. Suppose 6/5*z + 4/5 + 2/5*z**r = 0. What is z?
-2, -1
Let a(w) be the first derivative of -w**4/28 - w**3/7 - w**2/7 - 1. Factor a(z).
-z*(z + 1)*(z + 2)/7
Let s(a) be the first derivative of -1/7*a**4 + 0*a + 2/35*a**5 - 2 + 2/21*a**3 + 0*a**2. Factor s(f).
2*f**2*(f - 1)**2/7
Factor -10 + 10*w**2 + 16*w + 35*w**2 + 5 + 24*w.
5*(w + 1)*(9*w - 1)
Let z(p) be the third derivative of -p**5/30 + p**4/4 + 9*p**2. Factor z(l).
-2*l*(l - 3)
Let v = 5 - 5. Suppose 0 = -3*o - v + 12. Factor 0*l - o*l + l**3 + 3*l.
l*(l - 1)*(l + 1)
Let j(v) be the third derivative of 0*v - 11/210*v**5 + 0 + 2*v**2 + 2/21*v**3 - 1/30*v**6 + 5/84*v**4. Let j(y) = 0. What is y?
-1, -2/7, 1/2
Suppose -6*t = 3*t - 2*t. Factor -1/3 + 1/3*i**2 + t*i.
(i - 1)*(i + 1)/3
Let m be (1309/(-14))/17 - (2 + -8). Factor -i**3 - m*i**4 + 0*i**2 + i + 1/2.
-(i - 1)*(i + 1)**3/2
Let g(c) be the first derivative of -c**6/2 + 3*c**4/4 + 3. Suppose g(y) = 0. Calculate y.
-1, 0, 1
Let u = -2 + 3. Let i(v) = v**2 + 2*v - 1. Let l be i(-3). Factor -u + 4*y - y - y**l - y.
-(y - 1)**2
Let b = 10 + -10. Let t(z) be the second derivative of 0 + 0*z**5 + b*z**2 + 0*z**4 - 1/105*z**6 - z - 1/147*z**7 + 0*z**3. Suppose t(g) = 0. Calculate g.
-1, 0
Let g(p) be the third derivative of 2*p**7/945 + p**6/90 + p**5/45 + p**4/54 - 11*p**2. Find d such that g(d) = 0.
-1, 0
Let r be 6/(-4) - (-7)/2. Suppose -r*x + 5 = -3. Solve 8*h**4 - 4*h**x + h**2 - 5*h**4 = 0.
-1, 0, 1
Suppose -3 = -5*h + 7. Let q = 11 - h. Let -2*u - 3*u**2 + q*u**2 + 4*u**4 - 12*u**4 = 0. What is u?
-1, 0, 1/2
Let d be -3 - (2 - (4 - (-16)/12)). Factor 1/6*m + d*m**4 + 0 - 1/3*m**2 - 1/6*m**5 + 0*m**3.
-m*(m - 1)**3*(m + 1)/6
Let j be ((-6)/(-9))/((-6)/(-36)). Let n be 4/(-6) + 2/3. Factor 1/3*x**2 + 0*x**3 - 1/3*x**j + n*x + 0.
-x**2*(x - 1)*(x + 1)/3
Let b(h) be the second derivative of -1/6*h**2 - 1/20*h**5 + 1/6*h**3 + 0 - 1/36*h**4 + 1/45*h**6 - h. Factor b(f).
(f - 1)**2*(f + 1)*(2*f - 1)/3
Let s(w) be the first derivative of w**3 + 8. Suppose s(g) = 0. Calculate g.
0
What is y in 18/5*y**5 + 0 + 32/5*y**4 - 32/5*y**2 - 26/5*y**3 + 8/5*y = 0?
-2, -1, 0, 2/9, 1
What is a in 3*a**5 + 861*a**3 - 25*a**4 - 8*a**5 - 881*a**3 = 0?
-4, -1, 0
Let i be 6/(-20) - (-1 - 1/(-2)). What is r in 0*r**2 - i*r**3 + 0 + 1/5*r = 0?
-1, 0, 1
Let -8/5*v - 8/5 - 2/5*v**2 = 0. What is v?
-2
Let c = 26 + -26. Suppose c = -0*i + i. Factor i - 1/2*h + h**2 - 1/2*h**3.
-h*(h - 1)**2/2
Factor 0*f + 0 + f**3 + 0*f**4 - 1/4*f**5