ven that g(q) = 0.
-9, -1, 1
Factor -4*c**5 - 32*c**3 - 33*c - 46*c**2 + 3*c**5 + 2*c**3 - 9*c**4 - 9.
-(c + 1)**3*(c + 3)**2
Let z be 2/16*4*0. Let u(n) be the second derivative of 0 + 2*n + 1/80*n**5 - 1/168*n**7 + 0*n**3 + 0*n**2 + 0*n**6 + z*n**4. Factor u(v).
-v**3*(v - 1)*(v + 1)/4
Solve 0 - 2/11*y**2 + 0*y = 0 for y.
0
Suppose 0*p - 24 = -4*r - 3*p, 3*r - 18 = 2*p. Factor 4*h - r*h**4 + 0*h - 4*h + 2*h**5 - 2*h**2 + 6*h**3.
2*h**2*(h - 1)**3
Let q(d) = -9*d**5 - 15*d**4 + 18*d**2 - 18*d. Let y(i) = -i**5 - i**4 + i**2 - i. Let m(h) = q(h) - 18*y(h). Factor m(c).
3*c**4*(3*c + 1)
Let u(x) be the second derivative of -x**7/42 - x**6/10 - 3*x**5/20 - x**4/12 - 24*x. Factor u(y).
-y**2*(y + 1)**3
Let i be 4 - (2 + 2) - -3. Factor 0*y + 18 + 9*y + 2*y**2 + i*y + 0.
2*(y + 3)**2
Let g(j) be the first derivative of 4*j**3/3 - 6*j**2 + 8*j + 10. Factor g(r).
4*(r - 2)*(r - 1)
Let a = 112 + -251. Let j = a + 697/5. What is l in -j - 2/5*l + 2/5*l**2 + 2/5*l**3 = 0?
-1, 1
Let u(p) be the third derivative of p**7/15 - p**6/12 - p**5/15 - 6*p**2. Factor u(j).
2*j**2*(j - 1)*(7*j + 2)
Let g = 44/9 + -41/9. Determine c so that 0 + 2/3*c + c**2 + g*c**3 = 0.
-2, -1, 0
Factor 16/5 - 8*s + 18*s**3 - 54/5*s**5 + 0*s**4 - 4*s**2.
-2*(s + 1)**2*(3*s - 2)**3/5
Let f(h) be the first derivative of -4/7*h + 6/7*h**2 - 3/7*h**3 + 1 - 1/14*h**4 + 3/35*h**5. Let f(d) = 0. What is d?
-2, 2/3, 1
Let s be 2/6*(-501)/12. Let f = -41/3 - s. Factor -1/2*v**3 - f*v**2 + 1/4 + 1/2*v.
-(v - 1)*(v + 1)*(2*v + 1)/4
Let m(k) be the third derivative of -k**6/120 + k**4/8 - k**3/3 + 13*k**2. Factor m(a).
-(a - 1)**2*(a + 2)
Let p = -17671/3 + 5969. Let l = -929/12 + p. Let 7/4*n**2 + l*n - 1/2 = 0. What is n?
-1, 2/7
Let r(k) be the second derivative of 10*k + 1/6*k**4 - 2/3*k**3 + k**2 + 0. Let r(v) = 0. Calculate v.
1
Suppose 5*w - 1 = -2*x, -4*x = -5*w - 6 - 11. Factor 4*c**4 - c**4 + x*c**2 - 5*c**3 - c**3.
3*c**2*(c - 1)**2
Let v(d) be the second derivative of -d**7/14 + 2*d**6/15 + d**5/5 - d**4/2 - d**3/6 + d**2 - 7*d. Suppose v(c) = 0. What is c?
-1, -2/3, 1
Suppose g - 3*h = -4*g + 20, 5*h - 16 = -4*g. Let m(p) be the first derivative of 5/4*p**g + 4*p + 17/3*p**3 - 1 + 8*p**2. What is i in m(i) = 0?
-2, -1, -2/5
Suppose 9*g - 24 = -3*g. Find z, given that 0*z + 1/2 - 1/2*z**g = 0.
-1, 1
Suppose 63*l - 69*l + 12 = 0. Factor 3/2*b**l + 0 + 1/2*b**3 + 0*b.
b**2*(b + 3)/2
Let x(m) be the second derivative of 1/6*m**3 + 1/30*m**6 - 1/12*m**4 - 4*m - 1/20*m**5 + 0*m**2 + 0. Suppose x(l) = 0. Calculate l.
-1, 0, 1
Let m = 61 + -61. Let x(n) be the second derivative of 3/2*n**4 + m*n**2 - n - 2/3*n**3 - 9/10*n**5 + 0. Suppose x(j) = 0. What is j?
0, 1/3, 2/3
Let z be ((-1)/15)/(2/(-9)). Let f(q) be the second derivative of 1/12*q**4 + 0*q**3 + q + 0 + 0*q**2 + 3/10*q**6 - 2/21*q**7 - z*q**5. Factor f(t).
-t**2*(t - 1)**2*(4*t - 1)
Factor 5*f - 21 + 0*f + 23 - 4*f**4 - f**5 - 4*f**3 + 2*f**2.
-(f - 1)*(f + 1)**3*(f + 2)
Suppose 0 = -5*z + v, 0 = 5*z - 3*z + 5*v. Let r(o) = -o + 3. Let u be r(z). Factor 11*f**2 + 2*f - 2*f**2 - 3*f**u + 7*f**3.
f*(f + 2)*(4*f + 1)
Let z(w) be the second derivative of 2*w + 0*w**2 + 0 + 1/6*w**4 - 1/3*w**3. Find x such that z(x) = 0.
0, 1
Suppose -5*p = 5*x - 35, -3*p - 4*x + 33 = 2*p. Let c be p*1*6/10. Factor -r**4 - 14*r**2 - r**3 + 15*r**4 + 3*r + r - c*r**3.
2*r*(r - 1)*(r + 1)*(7*r - 2)
Let t be 15*10/6 + -3. Let h = -16 + t. Factor -2*s - h*s**2 + 8*s + 3*s**2.
-3*s*(s - 2)
Factor -2 + 2*a**2 + 0*a**2 - 4*a - 4*a**2.
-2*(a + 1)**2
Let o(w) = w - 5. Let s(d) = 2*d + 15. Let m be s(-5). Let k be o(m). Find r, given that 0*r**2 + 0 + k*r**3 + 1/2*r**4 + 0*r = 0.
0
Let c be -62 + (-5)/(15/6). Let w = -318/5 - c. Suppose -2/5*n**2 + 0*n + w = 0. Calculate n.
-1, 1
Let d(t) = 9*t**4 + 4*t**3 - 17*t**2 - 15*t - 13. Let n(x) = 10*x**4 + 4*x**3 - 18*x**2 - 14*x - 14. Let q(m) = 6*d(m) - 5*n(m). Factor q(r).
4*(r - 2)*(r + 1)**3
Let c(j) be the first derivative of 0*j - 2/11*j**2 + 2 - 2/11*j**4 - 2/55*j**5 - 10/33*j**3. Factor c(u).
-2*u*(u + 1)**2*(u + 2)/11
Suppose 42*w - 8 = 38*w. Let u(v) be the first derivative of -4/5*v**3 - 4/5*v**5 - w + 0*v - 1/5*v**6 - 6/5*v**4 - 1/5*v**2. Factor u(i).
-2*i*(i + 1)**3*(3*i + 1)/5
Factor -z**3 + 233 - 4*z - 233 - 5*z**2.
-z*(z + 1)*(z + 4)
Let a(k) be the first derivative of -k**3/18 + k**2/12 + 7. What is n in a(n) = 0?
0, 1
Let j(r) be the first derivative of r**4/4 - r**3 - r**2/2 + 3*r + 3. Let k be j(3). Factor 2*n**3 + 4/3*n**2 - 4/3*n**4 + k*n + 0.
-2*n**2*(n - 2)*(2*n + 1)/3
Factor -2/3*h**2 - 2/5*h + 6/5 - 2/15*h**3.
-2*(h - 1)*(h + 3)**2/15
Let p be ((-18)/(-21))/(36/126). Let u(t) be the first derivative of 0*t + 2/9*t**2 + 5 + 2/27*t**p. Factor u(y).
2*y*(y + 2)/9
Suppose -1 - 2 = -3*q + 4*d, q = -2*d + 1. Suppose -1/2*p**2 + 3/2*p - q = 0. What is p?
1, 2
Let r(a) = 3*a**2 + 5 + 6*a**2 + 3 - 7*a - 8*a**4 - 2. Let h(w) = 7*w**4 - 8*w**2 + 6*w - 5. Let q(g) = 7*h(g) + 6*r(g). Factor q(d).
(d - 1)**2*(d + 1)**2
Let d = -14 + 14. Let n(h) be the second derivative of -1/20*h**5 + 0 + d*h**2 - 1/6*h**4 + h - 1/6*h**3. Factor n(s).
-s*(s + 1)**2
Factor 129*h**2 - 10*h**4 - 263*h**2 + 128*h**2 + 2*h**5 + 14*h**3.
2*h**2*(h - 3)*(h - 1)**2
Let y(w) be the third derivative of 2*w**6/3 - 2*w**5/3 - 35*w**4/24 - 5*w**3/6 + 11*w**2. Solve y(q) = 0 for q.
-1/4, 1
Suppose 4*k + 4 = 3*k, 0 = -l - 4*k - 11. Let c(i) = i - 3. Let x be c(l). Let -z**x + 2*z**2 - 4 - 2*z**2 - 4*z = 0. What is z?
-2
Let h(w) = -w**2 - 11*w - 4. Let s be h(-10). Let x be s/((42/4)/7). Factor -2/5*l**x - 2/5*l - 6/5*l**3 + 0 - 6/5*l**2.
-2*l*(l + 1)**3/5
Let l = 23 + 7. Suppose 5*p = -5*w + l, 2*p + 3*p = 2*w + 23. Determine f, given that -7/4*f**4 - 1/2*f + f**p - 1/2*f**3 - 1/4 + 2*f**2 = 0.
-1, -1/4, 1
Let k(i) be the second derivative of i**6/96 - 7*i**5/160 + i**4/16 - i**3/3 + i. Let t(b) be the second derivative of k(b). Factor t(a).
3*(a - 1)*(5*a - 2)/4
Solve -24 - 378*h**2 + 180*h + 93*h**3 + 79*h**3 - 25*h**3 = 0.
2/7, 2
Let y(b) be the third derivative of -b**8/56 - b**7/140 + b**6/20 + b**5/40 + b**2. Let y(w) = 0. Calculate w.
-1, -1/4, 0, 1
Solve 24 - 30*n**2 - 2*n**3 + n**3 + 12*n + 10*n**3 = 0.
-2/3, 2
Let d(s) be the third derivative of s**8/126 + 13*s**7/315 + s**6/12 + 7*s**5/90 + s**4/36 - 2*s**2. Find n such that d(n) = 0.
-1, -1/4, 0
Let o(f) be the third derivative of -1/56*f**4 + 1/490*f**7 + 1/280*f**6 + 4*f**2 + 0 + 0*f**3 - 1/140*f**5 + 0*f. Factor o(x).
3*x*(x - 1)*(x + 1)**2/7
Let z = 43 - 41. Let c(a) be the second derivative of 1/100*a**5 + 2/15*a**3 + 0 + 1/15*a**4 + 0*a**z - 4*a. Factor c(g).
g*(g + 2)**2/5
Let o(z) be the first derivative of 11*z**4/16 + 19*z**3/12 + 5*z**2/8 - 3*z/4 - 13. Let o(s) = 0. What is s?
-1, 3/11
Let d(s) be the second derivative of s**6/600 + s**5/300 - s**4/120 - s**3/30 - s**2/2 - 2*s. Let a(q) be the first derivative of d(q). What is c in a(c) = 0?
-1, 1
Find h, given that -4/9 + 10/9*h**3 + 4/9*h**2 - 10/9*h = 0.
-1, -2/5, 1
Let k(i) = -8*i - 5. Let y be k(-7). What is u in 2*u**4 + 3*u**2 - u**4 + 8*u**4 + y*u**3 - 15*u**5 - 12 - 36*u = 0?
-1, -2/5, 1, 2
Suppose -2*l - l**2 + 9 - 2*l - 2 - 2 = 0. What is l?
-5, 1
Let x = -3 - -5. Find n, given that 2*n**2 - 4*n**2 + 3*n**2 + n**x - 4*n = 0.
0, 2
Let y be (8/4 - -2)/2. Determine q, given that 15*q + 9*q + 16 + y*q**3 + 7*q**2 + 5*q**2 = 0.
-2
Let x(k) be the third derivative of k**5/150 + k**4/30 + k**3/15 - 6*k**2. Factor x(d).
2*(d + 1)**2/5
Let a(o) be the second derivative of 2/27*o**3 + 1/9*o**2 + 0 + 1/54*o**4 + o. Factor a(l).
2*(l + 1)**2/9
Let r(z) be the second derivative of z**10/12960 + z**9/9072 - z**8/10080 + z**4/12 + 8*z. Let l(w) be the third derivative of r(w). Factor l(c).
c**3*(c + 1)*(7*c - 2)/3
Let t = -15 - -16. Let g(i) = -i**2 - i. Let u(y) = y**2 + 6*y + 2. Let w be u(-5). Let n(m) = -5*m**2 - 5*m + 4. Let k(a) = t*n(a) + w*g(a). Factor k(j).
-2*(j - 1)*(j + 2)
Suppose -5*w = -0*w. Suppose -2*k + 4 + w = 0. Factor -1/2 + 5/2*i - 5/2*i**3 + 2*i**4 - 3/2*i**k.
(i - 1)**2*(i + 1)*(4*i - 1)/2
Let t(n) be the first derivative of 4*n**5/5 - n**4 - 8*n**3/3 - 22. Factor t(k).
4*k**2*(k - 2)*(k + 1)
Let l(k) be the first derivative of 3*k**4/16 - k**3/2 - 3*k**2/8 + 3*k/2 + 29. Factor l(d).
3