 be the first derivative of -u**5/5 + 11*u**4/16 - 5*u**3/6 + 3*u**2/8 + 2. Solve x(v) = 0 for v.
0, 3/4, 1
Let y(h) = h - 4. Let f be y(6). Suppose l - 1 = 0, -3 = 4*n - l - 14. Factor k + k + 5*k**2 - n*k**f.
2*k*(k + 1)
Suppose 2*g = -y + 15, 4*y - 10 = -3*g + 10. Let v be 3/9 - g/(-3). Suppose 0*n**2 + 0*n**v + 2/3*n**5 + 0 + 0*n + 2/3*n**4 = 0. What is n?
-1, 0
Let r be 13/3 - 4/12. Let m(y) = -75*y**2 + 60*y - 16. Let k be (4/6)/(10/105). Let s(v) = 150*v**2 - 120*v + 31. Let h(p) = k*m(p) + r*s(p). Factor h(g).
3*(5*g - 2)**2
Let u(p) be the second derivative of 0 - 1/100*p**5 - 9/10*p**3 - 27/10*p**2 - 3/20*p**4 + 7*p. Solve u(r) = 0.
-3
Let g(a) be the third derivative of -a**6/780 + a**5/195 + 20*a**2. Factor g(o).
-2*o**2*(o - 2)/13
Let s(i) be the first derivative of 2*i**3 - 15*i**2/2 + 6*i - 9. Find n such that s(n) = 0.
1/2, 2
Suppose 12*z = 8*z. Let h(q) be the first derivative of z*q**2 + 1/4*q**4 - 1/3*q**3 + 2 + 0*q. Find c such that h(c) = 0.
0, 1
Suppose -5*b = 14*b. Determine z, given that 2/5*z**3 - 1/5*z + 0*z**4 + 0*z**2 - 1/5*z**5 + b = 0.
-1, 0, 1
Suppose 5/3*m**3 - 35/3*m**2 + 25*m - 15 = 0. What is m?
1, 3
Let d(v) be the first derivative of -4 + 3*v**2 + 0*v + 3/5*v**5 - 3/2*v**4 - v**3. Factor d(f).
3*f*(f - 2)*(f - 1)*(f + 1)
Let a = -51 + 53. Factor 0*x + 2/7 - 2/7*x**a.
-2*(x - 1)*(x + 1)/7
Let k be 4/(-84)*(-21)/18. Let g(c) be the second derivative of -1/3*c**2 + c + k*c**3 + 0 + 1/12*c**5 + 2/9*c**4. Factor g(b).
(b + 1)**2*(5*b - 2)/3
Let v(p) be the third derivative of -1/210*p**5 + 0 - 1/42*p**4 + 0*p + 0*p**3 + 5*p**2. Factor v(j).
-2*j*(j + 2)/7
Let -5*c**4 - 10*c**3 - 18*c**3 - 12*c**5 + 37*c**4 + 16*c**2 - 8*c**2 = 0. What is c?
0, 2/3, 1
Let t(o) be the first derivative of o**3/12 + o**2/8 - 3*o/2 - 19. Let t(z) = 0. What is z?
-3, 2
Let c(p) = 25*p**2 - 16*p + 3. Let q(s) be the first derivative of -133*s**3 + 255*s**2/2 - 48*s + 8. Let y(n) = 33*c(n) + 2*q(n). Let y(h) = 0. What is h?
1/3
Let c(f) be the second derivative of -f**5/40 + f**4/24 + f**3/12 - f**2/4 - f. Suppose c(a) = 0. What is a?
-1, 1
Factor 2*r**4 + 3*r**3 - 2*r**4 + 2*r**4 - 3*r**4.
-r**3*(r - 3)
Let y = -606/5 - -1828/15. Suppose -5*h = -h - 12. Factor 8/9*m**2 - y*m**h - 2/9*m + 0.
-2*m*(m - 1)*(3*m - 1)/9
Let w(a) be the first derivative of 3 + 9/5*a**5 + 6*a**4 - 14/3*a**3 - 3*a - 8*a**2. Determine i so that w(i) = 0.
-3, -1/3, 1
Let i(s) be the first derivative of -s**6/420 + s**5/70 - s**4/28 + s**3/21 + s**2 - 1. Let k(m) be the second derivative of i(m). Factor k(d).
-2*(d - 1)**3/7
Let j(y) be the first derivative of -2/3*y**3 - 5/2*y**2 + 2*y + 5/4*y**4 + 4. Solve j(u) = 0 for u.
-1, 2/5, 1
Let y(q) be the third derivative of 0*q - 1/90*q**5 - 1/180*q**6 + 0*q**3 + 0*q**4 + 0 + 2*q**2. Solve y(f) = 0 for f.
-1, 0
Let m(u) be the first derivative of -1/4*u**4 + 5 - 4/5*u**5 - 5/8*u**2 - 1/2*u + 3/2*u**3 + 3/8*u**6. Solve m(z) = 0 for z.
-1, -2/9, 1
Let -2/3*s**2 - 1/6*s**3 - 5/6*s - 1/3 = 0. Calculate s.
-2, -1
Let g(y) be the second derivative of y**4/36 + y**3/9 - y**2/2 - 6*y. Find r, given that g(r) = 0.
-3, 1
Let v be (-153)/(-72) + -2*1. Let t(m) be the first derivative of 5/4*m**2 - 1/10*m**5 + 1/2*m**3 + 1 + m - v*m**4. Factor t(d).
-(d - 2)*(d + 1)**3/2
Suppose 0*u + 4*u - 8 = 0. Let l = -4 - -6. Determine i so that -3 - 2*i - 3*i**l + u + i**3 + 5*i = 0.
1
Let 16 + 56*c**2 - 4 - 4*c**4 - 6*c**5 + 24*c**3 + 2*c**5 + 44*c = 0. What is c?
-1, 3
Let i(b) be the first derivative of -b - 2 - 1/12*b**4 - 1/80*b**5 - 5/24*b**3 - 1/4*b**2. Let d(y) be the first derivative of i(y). Let d(k) = 0. Calculate k.
-2, -1
Let m(r) be the third derivative of -r**8/448 + 3*r**7/140 - 7*r**6/80 + r**5/5 - 9*r**4/32 + r**3/4 - 5*r**2. Solve m(z) = 0 for z.
1, 2
Let t(v) be the third derivative of -v**8/1008 - v**7/315 + v**6/360 + v**5/90 + 15*v**2. Find h such that t(h) = 0.
-2, -1, 0, 1
Let g(h) be the second derivative of h**6/165 - 2*h**5/55 + 5*h**4/66 - 2*h**3/33 - 5*h. Factor g(q).
2*q*(q - 2)*(q - 1)**2/11
Let z(a) be the second derivative of -a**10/6720 - a**9/10080 + a**8/2688 - a**7/5040 + a**4/6 - a. Let v(r) be the third derivative of z(r). Factor v(g).
-g**2*(g + 1)*(3*g - 1)**2/2
Suppose 0 = -r + 3, -2*h + 5*r = -5*h + 12. Let y be -2 + (h - -2) - -6. Factor 2*a**3 - 8*a**2 - y + 1 - 4*a + 14*a.
2*(a - 2)*(a - 1)**2
Find p such that 4/11*p**3 - 2/11 - 2/11*p - 2/11*p**5 + 4/11*p**2 - 2/11*p**4 = 0.
-1, 1
Let b = 150429 + -16246195/108. Let k = b + -14/27. Determine i so that 3/4*i + k*i**4 - 1/2*i**3 - 1/2*i**2 - 1/4 - 1/4*i**5 = 0.
-1, 1
Let f(c) be the second derivative of 5*c**6/36 + 3*c**5/8 + c**4/3 + c**3/9 - 7*c. Suppose f(i) = 0. Calculate i.
-1, -2/5, 0
Let g(a) = a**2 + 7*a + 8. Let t be g(-6). Let x(s) = 1 + 5*s + 12*s - s**2 - 18*s. Let j(n) = n**3 - 4*n**2 + 2*n. Let o(k) = t*x(k) - 2*j(k). Factor o(b).
-2*(b - 1)**3
Let q be ((-7)/(-4))/((-3)/24). Let i = q + 16. Solve -1/3*o + 1/3*o**i + 0 = 0 for o.
0, 1
Let n(y) be the second derivative of y**8/84 + 2*y**7/105 - y**6/30 - y**5/15 + 7*y**2/2 + 5*y. Let b(h) be the first derivative of n(h). Factor b(s).
4*s**2*(s - 1)*(s + 1)**2
Let u = -3/14 - -5/7. Find r, given that 1/2 - u*r**2 + 0*r = 0.
-1, 1
Let g(w) = 3*w**2 + 9*w - 6. Let f(u) = -u**3 - 4*u**2 - 9*u + 6. Let c(o) = 3*f(o) + 4*g(o). Determine d so that c(d) = 0.
-2, 1
Suppose 0 = 2*h + 4 - 10. Let b(g) be the second derivative of 9/20*g**5 + 2/15*g**6 - h*g + 0 + 0*g**2 + 1/2*g**4 + 1/6*g**3. Factor b(a).
a*(a + 1)**2*(4*a + 1)
Suppose -4*u - 2 = -14. Let k be 2/((-20)/(-5))*12/18. Let 1/3*b + k*b**u + 0 - 2/3*b**2 = 0. What is b?
0, 1
Let l(w) = -5*w - 27. Let n be l(-6). Find h, given that 2/7*h**n - 2/7*h**5 + 0 + 2/7*h**4 + 0*h - 2/7*h**2 = 0.
-1, 0, 1
Let b(a) be the third derivative of a**7/210 - a**6/60 - a**5/60 + a**4/12 + 11*a**2. Factor b(z).
z*(z - 2)*(z - 1)*(z + 1)
Find w, given that -16/9*w + 4/3*w**2 + 0*w**3 + 2/3 - 2/9*w**4 = 0.
-3, 1
Let 84/5*p**3 + 0 + 16/5*p - 196/5*p**4 + 96/5*p**2 = 0. Calculate p.
-2/7, 0, 1
Let n(c) = 2*c**3 + 9*c**2 - 2*c. Let k(w) = -w**3 - w**2 - w + 1. Let s(g) = 3*k(g) + n(g). Let o be s(3). Solve -o*i**2 - 1 + 0 + 9*i**3 + 8*i - i = 0.
1/3, 1
Let p = 97 + -94. Factor -32/3*n**2 + 14/3*n**p - 4/3 + 22/3*n.
2*(n - 1)**2*(7*n - 2)/3
Let w(p) be the third derivative of -1/175*p**7 + 4*p**2 + 0 + 0*p**3 - 1/840*p**8 - 1/100*p**6 + 0*p**4 - 1/150*p**5 + 0*p. Factor w(y).
-2*y**2*(y + 1)**3/5
Suppose 0 = -z - g - 1, -z + 6*z + 3*g = 1. Suppose -4*c - 4*p = -2*c - 4, -4*c = -5*p - 8. Factor 3*q + z*q + q**2 - c*q + 2.
(q + 1)*(q + 2)
Let v(c) be the third derivative of 2*c**2 + 0 + 0*c**3 + 1/480*c**6 + 0*c - 1/240*c**5 + 0*c**4. Determine t so that v(t) = 0.
0, 1
Let q(l) be the first derivative of -l**3/6 + 3*l**2/4 + 2*l - 9. Suppose q(f) = 0. Calculate f.
-1, 4
Let a(c) be the third derivative of 16*c**5/15 - 12*c**4 + 54*c**3 - 44*c**2. Factor a(q).
4*(4*q - 9)**2
Factor 2/7*h**2 + 6/7*h + 0.
2*h*(h + 3)/7
Let p(v) = -v**2 - 7*v - 5. Let q be p(-4). Suppose -3*o - 1 + q = 0. Factor -16*f**5 - f**o - 24*f**4 - f - 3*f**3 + 7*f**2 + 2*f**3.
-f*(f + 1)**2*(4*f - 1)**2
Let a(l) be the third derivative of l**6/90 + 2*l**5/45 - l**4/18 - 4*l**3/9 + 9*l**2. Factor a(t).
4*(t - 1)*(t + 1)*(t + 2)/3
Suppose 30*n - 8 = 26*n. Let j(u) be the second derivative of 0 - 1/30*u**4 - 2/5*u**3 - 9/5*u**n + 2*u. Let j(m) = 0. What is m?
-3
Let c = -128 - -132. Factor 32/3*z**5 - 14/3*z**3 - 16/3*z**c + 0*z + 0 - 2/3*z**2.
2*z**2*(z - 1)*(4*z + 1)**2/3
Let q = -502/7 - -72. Let b(z) be the second derivative of q*z**2 + 0 + 1/7*z**3 + 1/42*z**4 - z. Factor b(f).
2*(f + 1)*(f + 2)/7
Let q be 0/(-1 - -4 - 1). Let k(t) be the second derivative of q*t**2 + 0 + 1/6*t**3 + 0*t**4 - 1/20*t**5 + t. Suppose k(d) = 0. What is d?
-1, 0, 1
Suppose 0 = 4*h - 3*p + 11, -2*p + 7 = -3. Let b be (h/2)/(45/120). Solve 16/3*l**2 - 2/3 - b*l = 0 for l.
-1/4, 1/2
Let j(c) = -16*c**4 + 44*c**3 - 20*c**2 - c. Let w(u) = 16*u**4 - 44*u**3 + 20*u**2 + 2*u. Let a(q) = 6*j(q) + 7*w(q). Factor a(o).
4*o*(o - 2)*(o - 1)*(4*o + 1)
Let n(a) be the third derivative of -a**6/150 - 2*a**5/25 - 3*a**4/10 - 8*a**3/15 + 5*a**2. Suppose n(p) = 0. What is p?
-4, -1
Factor 93*x**3 - 63*x + 72*x**2 + 10 -