. Let o(k) = d*x(k) + z*q(k). Factor o(j).
-(j - 1)*(j + 1)
Let p(i) = 26*i**3 - 59*i**2 + 46*i - 5. Suppose 4*s + 46 = 2. Let k(t) = 79*t**3 - 178*t**2 + 137*t - 16. Let x(z) = s*p(z) + 4*k(z). Factor x(y).
3*(y - 1)*(2*y - 1)*(5*y - 3)
Let r = -165 - -171. Let k(t) be the second derivative of 2*t**2 + 2/3*t**3 + 2*t + 7/20*t**5 + 0 - 1/24*t**r - t**4. Factor k(f).
-(f - 2)**3*(5*f + 2)/4
Let r(z) be the first derivative of z**4/2 + 10*z**3/3 + 6*z**2 - 18. Factor r(i).
2*i*(i + 2)*(i + 3)
Let p(o) be the second derivative of o**7/98 + o**6/35 - 3*o**5/70 - 2*o**4/7 - o**3/2 - 3*o**2/7 + 53*o. Find l, given that p(l) = 0.
-1, 2
Factor 3*q**5 + 1 - 2 + 1 + 3*q**3 - 6*q**4.
3*q**3*(q - 1)**2
Determine w, given that 0*w**3 - 32*w + 60*w**2 - 5*w**3 - 51 - 9 + 37*w = 0.
-1, 1, 12
Let m = 513 - 2559/5. Factor 2/5 + 0*b - m*b**4 - 12/5*b**2 + 16/5*b**3.
-2*(b - 1)**3*(3*b + 1)/5
Let c(k) be the second derivative of -k**5/4 - 5*k**4/2 - 55*k**3/6 - 15*k**2 + 11*k + 4. Factor c(o).
-5*(o + 1)*(o + 2)*(o + 3)
Suppose 0 = -5*v - 3 - 7. Let d = v + 5. Factor r**3 - 8*r + 8*r**2 - r**3 - 2*r**d.
-2*r*(r - 2)**2
Let f(o) = o**2 - o + 1. Let k(t) = 3*t**2 + 3*t + 18. Let c(j) = -6*f(j) + k(j). Factor c(a).
-3*(a - 4)*(a + 1)
Let b(n) be the third derivative of -n**8/2240 - n**7/280 - n**6/120 + n**4/12 - 2*n**2. Let h(r) be the second derivative of b(r). What is p in h(p) = 0?
-2, -1, 0
Let z(d) = 4*d**3 - 2. Let k(v) = v**4 + 4*v**3 + v**2 - 3. Let y(c) = 4*k(c) - 6*z(c). Suppose y(q) = 0. Calculate q.
0, 1
Let d(h) be the first derivative of -h**4/4 + h**3/2 + 3*h**2 + h + 6. Let l(w) be the first derivative of d(w). Find q, given that l(q) = 0.
-1, 2
Let y(m) = 2*m**2 - 2*m + 1. Suppose 0 = -3*c + 4 + 11. Let h(g) = -2*g**2 + 2*g - 2. Let n(o) = c*h(o) + 6*y(o). Factor n(j).
2*(j - 2)*(j + 1)
Suppose -2*p + 4*u = -11 - 11, 3*p = -u + 54. Let n = p - 14. Factor -27/2*f + 27/2*f**3 - n*f**2 + 3.
3*(f - 1)*(f + 1)*(9*f - 2)/2
Let c(g) = -g**2 + g - 1. Let n(q) = -q + 1. Let y(a) = -c(a) + 3*n(a). Factor y(r).
(r - 2)**2
Let w(k) = -k**2 - 7*k - 6. Let i be w(-6). Solve 2/11*v**3 - 8/11 + i*v + 6/11*v**2 = 0.
-2, 1
Find x such that -x**4 + 12*x**2 - 2*x**4 - 2*x**5 - 24*x - 10*x**5 + 9*x**5 + 18*x**3 = 0.
-2, 0, 1, 2
Let s = -4 - -7. Let k be -22*(-1)/5 + 8/(-20). Factor -s*t**k - 3*t - 9*t**2 - 2*t - 9*t**3 + 2*t.
-3*t*(t + 1)**3
Let s be ((-6)/(-10))/(12/8). Let -2/5*j**2 + 0 + s*j = 0. Calculate j.
0, 1
Let n(o) be the first derivative of 1/6*o**4 + 0*o**3 + 0*o**2 - 3 + 1/15*o**5 + 0*o. Suppose n(x) = 0. What is x?
-2, 0
Let m(r) be the third derivative of 10*r**7/63 - r**6/3 + r**5/5 - 30*r**2. Find s, given that m(s) = 0.
0, 3/5
Suppose -14 = -r + 3*g, 5*r + g - 6*g = 30. Factor -3*p**2 + 4*p**2 - 1 - 2*p**2 - r*p + 0*p**2.
-(p + 1)**2
Let d(b) be the second derivative of 4*b**2 + 0 + 1/20*b**5 - 8*b + 2*b**3 + 1/2*b**4. Factor d(a).
(a + 2)**3
Suppose -f + 5*t + 46 = 2*t, 0 = f - t - 40. Let b = -31 + f. Factor 15/2*a - b*a**2 - 3/2.
-3*(a - 1)*(4*a - 1)/2
Let r(u) = 2*u - 4. Let d be r(2). Factor 6/5*v**2 + d - 3/5*v - 3/5*v**3.
-3*v*(v - 1)**2/5
Solve 66*i + 2*i**2 - 70*i + 4*i**3 - 4 - i**2 + 3*i**2 = 0 for i.
-1, 1
Factor -12/7*a**3 + 0*a**4 + 0*a + 0 - 8/7*a**2 + 4/7*a**5.
4*a**2*(a - 2)*(a + 1)**2/7
Let y(t) be the third derivative of t**8/168 + t**7/105 - t**6/60 - t**5/30 + 10*t**2. Factor y(d).
2*d**2*(d - 1)*(d + 1)**2
Let y = 1956/5 + -390. Factor -4/5*g**3 - 1/5 - y*g**2 - 1/5*g**4 - 4/5*g.
-(g + 1)**4/5
Let t(p) = -2*p + 28. Let q be t(14). Let j(r) be the first derivative of 2/3*r**3 + q*r - 1/4*r**4 + 3 - 1/2*r**2. Suppose j(f) = 0. What is f?
0, 1
Let m(z) = z + 3. Let k be m(-3). What is a in 4*a + 4*a - 6*a + k*a + a**2 = 0?
-2, 0
Let y(i) = -2*i**2 - 13*i - 6. Let r be y(-6). Let a(t) be the third derivative of 0 + 0*t**4 + 0*t + 1/180*t**5 + r*t**3 - 2*t**2. Factor a(h).
h**2/3
Let h(r) = -2*r**4 - 4*r**3 - 4*r**2 + 10*r + 6. Let f(w) = w**4 + 4*w**3 + 4*w**2 - 9*w - 5. Let o(u) = 6*f(u) + 5*h(u). Solve o(d) = 0 for d.
-1, 0, 1
Let z be 5/5*(2 - 1). Suppose -z = -m + 1. Factor 3*p**m - 2*p**2 + p**2.
2*p**2
Let u = 11 + -7. Let x(s) be the first derivative of -1 - 1/3*s**3 - 1/12*s**6 + 1/2*s - 1/4*s**2 + 1/10*s**5 + 1/4*s**u. Find t, given that x(t) = 0.
-1, 1
Let u be 6/(-3) + 124/6. Let x = -18 + u. Factor 0 + x*s**2 + 0*s + 1/3*s**3.
s**2*(s + 2)/3
Factor 0 + 0*q - 3/4*q**2 + 3/4*q**3.
3*q**2*(q - 1)/4
Let h(x) be the first derivative of -x**3/9 + x**2/3 + x - 2. Suppose h(t) = 0. Calculate t.
-1, 3
Let g(t) be the second derivative of 6*t - 1/3*t**2 - 1/135*t**6 - 2/9*t**4 - 1/15*t**5 - 10/27*t**3 + 0. Solve g(f) = 0 for f.
-3, -1
Let q(u) = 6*u**2 + 6*u + 14. Let o(v) = v**2 + v + 3. Let w(l) = -14*o(l) + 3*q(l). Determine r, given that w(r) = 0.
-1, 0
Let u(t) be the second derivative of t**5/30 + t**4/6 + t**3/3 + 5*t**2/2 - 6*t. Let x(p) be the first derivative of u(p). Factor x(j).
2*(j + 1)**2
Let n(l) = l**3 - 5*l**2 - 7*l + 8. Let d be n(6). Determine j, given that 9*j**2 + 8*j**3 - 4*j**5 - 5*j**2 - 4*j**d - 4*j = 0.
-1, 0, 1
Let j(c) be the first derivative of c**7/420 - c**6/180 - 4*c**3/3 - 1. Let g(i) be the third derivative of j(i). Factor g(h).
2*h**2*(h - 1)
Let n = 6 + -6. Find x, given that n*x**2 + 10*x**2 - 18*x + 9 - 5 + 18*x**3 - 14*x**4 = 0.
-1, 2/7, 1
Find i, given that 10/13*i**5 - 4/13*i - 6/13*i**3 + 14/13*i**4 + 0 - 14/13*i**2 = 0.
-1, -2/5, 0, 1
Let u(q) be the second derivative of q**7/63 - 4*q**6/45 + q**5/30 + 5*q**4/9 - 4*q**3/9 - 8*q**2/3 + 14*q. Factor u(z).
2*(z - 2)**3*(z + 1)**2/3
Let g(q) be the first derivative of 0*q**2 - 1/7*q**4 - 1/21*q**6 + 0*q**3 - 6/35*q**5 + 0*q + 2. Factor g(m).
-2*m**3*(m + 1)*(m + 2)/7
Let v(i) = i**3 + 8*i**2 - 10*i - 10. Let t be v(-9). Let a = -1 - t. Suppose 1/5*y**2 + 0*y - 1/5*y**3 + a = 0. Calculate y.
0, 1
Suppose 0 = 59*t - 19*t - 960. Determine n, given that 6 - t*n + 21/2*n**4 + 75/2*n**2 - 3/2*n**5 - 57/2*n**3 = 0.
1, 2
Factor 5*r**2 + r**2 + 4 - 14*r + 0*r**2.
2*(r - 2)*(3*r - 1)
What is q in -15/2*q + 27/2*q**3 - 3/2 - 9/2*q**2 = 0?
-1/3, 1
Let z(q) be the third derivative of 0*q + 0 + 5/12*q**4 + 1/6*q**6 + 1/168*q**8 - 1/21*q**7 - 1/3*q**3 - 3*q**2 - 1/3*q**5. Factor z(i).
2*(i - 1)**5
What is b in -2*b**3 + 15/4*b**2 - 4*b**4 + 1/4 + 2*b = 0?
-1, -1/4, 1
Let s be ((1 + 0)*2)/((-6)/(-14)). Let h = 420/13 + -1052/39. Determine a so that -40/3*a - s*a**3 - 2/3*a**4 - h - 12*a**2 = 0.
-2, -1
Let h = -2 + 12/5. Let c(z) be the first derivative of -1 - h*z**3 + 0*z - 1/10*z**4 - 2/5*z**2. Factor c(a).
-2*a*(a + 1)*(a + 2)/5
Let z(k) = 4*k**4 - 5*k**3 - 4*k**2 - 5*k. Let y(r) = 3*r**4 - 4*r**3 - 3*r**2 - 4*r. Suppose 8*f = 4*f + 20. Let o(g) = f*y(g) - 4*z(g). Solve o(j) = 0 for j.
-1, 0, 1
Let b(z) = -12*z**2 + 12. Let f(r) = r**2 - 1. Suppose 3*n = -5*u + 31 + 116, 2*n - 35 = -u. Let d(a) = u*f(a) + 2*b(a). Factor d(h).
3*(h - 1)*(h + 1)
Determine m so that -97/5*m**2 - 9/5 - 16/5*m**4 + 66/5*m - 88/5*m**3 = 0.
-3, 1/4
Let y be ((-18)/(-50))/((-24)/(-80)). What is s in 1/5 - 4/5*s**3 + y*s**2 + 1/5*s**4 - 4/5*s = 0?
1
Let z(y) be the second derivative of 0 + 1/22*y**4 - 2*y + 1/11*y**2 + 1/11*y**3 + 1/110*y**5. Factor z(g).
2*(g + 1)**3/11
Let m(u) = 2*u + 20. Suppose -5*f - 45 = -0*f. Let y be m(f). Factor -2/7*r + 4/7*r**y + 0 - 2/7*r**3.
-2*r*(r - 1)**2/7
Let c(p) be the third derivative of p**7/210 + p**6/60 + p**5/60 + 4*p**2. Factor c(d).
d**2*(d + 1)**2
Factor -5*w**3 + 4*w**3 + 2*w + 3*w**3 + 4*w**2.
2*w*(w + 1)**2
Solve 1/7*i**5 + 0*i**2 + 0*i**4 - 2/7*i**3 + 1/7*i + 0 = 0 for i.
-1, 0, 1
Suppose 0 = 2*i + 2*x - 2, -3*i = 4*x - 4 + 3. Let m(q) be the first derivative of -4 + 18*q + 2/5*q**5 - 12*q**2 + 2*q**4 - 4/3*q**i. Factor m(b).
2*(b - 1)**2*(b + 3)**2
Let s(b) = -b**2 + b + 1. Let j be s(2). Let r = j - -5. Let 1/2*o**2 + 0*o - o**3 + 1/2*o**r + 0 = 0. What is o?
0, 1
Suppose -1 + 11 = 2*h. Let p(g) be the second derivative of 1/4*g**2 - 3*g - 7/24*g**4 - 1/10*g**h + 0 - 1/6*g**3. Factor p(i).
-(i + 1)**2*(4*i - 1)/2
Factor 18*l**5 - 57*l**2 + 57*l + 84*l**4 + 7*l**5 - 12 - l**5 - 66*l**3.
3*(l + 1)*(l + 4)*(2*l - 1)**3
Let z(x) be the third derivative of -2*x**3 - 1/2*x**4 - 1/20*x**5 + 0 + 4*x**2 + 0*x. Factor z(f).
-3*(f + 2