(a - 3)**2
Let b(x) = x**2 - 13*x - 10. Let q(o) = 2*o - 1. Let s(a) = -b(a) - 4*q(a). Factor s(n).
-(n - 7)*(n + 2)
Let f(r) be the third derivative of r**5/60 - 5*r**4/8 - 17*r**3/3 - 546*r**2. Suppose f(j) = 0. What is j?
-2, 17
Suppose 10/3*r**3 - 4*r - 14/3*r**4 + 14/3*r**2 + 0 + 2/3*r**5 = 0. Calculate r.
-1, 0, 1, 6
Let u(r) be the third derivative of r**5/30 - 5*r**4/12 - 14*r**3/3 + r**2 - 40*r. Factor u(n).
2*(n - 7)*(n + 2)
Factor 176/3*t**2 - 136 - 500/3*t + 4*t**3.
4*(t - 3)*(t + 17)*(3*t + 2)/3
Suppose 2*i + 5*t - 6 = 0, -i - 250*t + 3 = -247*t. Determine j, given that 2/5*j**i + j**4 + 0 - 2/5*j - j**2 = 0.
-1, -2/5, 0, 1
Let f(u) be the first derivative of 3*u**4/4 - 7*u**3 + 21*u**2 - 24*u - 100. Factor f(b).
3*(b - 4)*(b - 2)*(b - 1)
Suppose 0 = 2*c + c + 12, 3*c = -l - 4. Determine y so that -l*y**4 - 14*y**4 + 2*y**4 + 8*y**3 = 0.
0, 2/5
Let p(v) be the first derivative of 10/3*v - 6 + 5/6*v**2 - 5/9*v**3. Suppose p(r) = 0. Calculate r.
-1, 2
Let k be ((21 - 17)/((-8)/20))/(10/(-4)). Factor 2 + 1/2*u**k + 3*u**3 + 6*u + 13/2*u**2.
(u + 1)**2*(u + 2)**2/2
Let k be (-69)/115 + 3/(-20). Let a = -11/20 - k. Factor -8/5*t - a*t**2 - 16/5.
-(t + 4)**2/5
Let t(q) be the third derivative of 1/105*q**7 + 1/15*q**6 + 0*q**4 + 0 + 0*q**3 + 35*q**2 + 0*q + 2/15*q**5. Solve t(y) = 0.
-2, 0
Suppose 22*b**2 + 10*b**3 - 8*b**4 - 6*b**4 + 5*b**5 - 12*b**2 + 4*b**2 - 3*b**5 - 12*b = 0. What is b?
-1, 0, 1, 6
Suppose -6*a + 770 - 242 = 0. Factor -2*k**4 - 88 + k**3 + a + k**5.
k**3*(k - 1)**2
Let k(c) be the second derivative of 0 + 12*c + 20/3*c**3 - 3/2*c**4 - 4*c**2. Suppose k(t) = 0. Calculate t.
2/9, 2
What is v in -73*v**3 + 152*v**3 - 79*v**3 - 18 - 2*v**4 + 20*v**2 = 0?
-3, -1, 1, 3
Let o be (-1 + (-35)/(-10))/(1/2). Let n(b) be the third derivative of 0*b + 2/21*b**3 - 1/28*b**4 + 4*b**2 + 1/210*b**o + 0. Factor n(h).
2*(h - 2)*(h - 1)/7
Let c be (4/(-12))/(1/746). Let z = c + 252. Solve -4/3 + z*a - 8/3*a**2 + 2/3*a**3 = 0 for a.
1, 2
Let u(k) be the second derivative of k**5/30 + 73*k**4/18 + 152*k**3 + 432*k**2 - 232*k. Factor u(p).
2*(p + 1)*(p + 36)**2/3
Let f(z) be the third derivative of -49*z**6/120 + 28*z**5/5 + 55*z**4/24 - 7*z**3 - 273*z**2. Suppose f(t) = 0. Calculate t.
-3/7, 2/7, 7
Suppose 7*g - 12 - 1/2*g**2 = 0. Calculate g.
2, 12
Let b(i) be the second derivative of 0 + 0*i**4 + 5/3*i**3 - 1/6*i**6 - 1/2*i**5 + 5/2*i**2 + 16*i. Factor b(j).
-5*(j - 1)*(j + 1)**3
Let t(s) be the third derivative of s**7/315 + 11*s**6/360 + s**5/45 - 5*s**4/72 + 15*s**2. Factor t(n).
n*(n + 1)*(n + 5)*(2*n - 1)/3
Let h(k) be the second derivative of k**5/70 + k**4/14 - 4*k**2/7 - 4*k - 3. Factor h(g).
2*(g - 1)*(g + 2)**2/7
Suppose f - 5 = -3, 2*f + 11 = 5*u. Factor 4*p - 247*p**u - p + 244*p**3.
-3*p*(p - 1)*(p + 1)
Let j(b) be the second derivative of 1/60*b**5 - 1/6*b**4 + 0 - 5*b - b**2 + 2/3*b**3. Let n(m) be the first derivative of j(m). Factor n(w).
(w - 2)**2
Let m(b) = -b**5 + b**4 + b**3 - b**2 - b - 1. Let l(g) = -5*g**5 + 16*g**4 - 43*g**3 + 48*g**2 + 44*g - 68. Let s(r) = -l(r) + 4*m(r). What is w in s(w) = 0?
-1, 1, 4
Let r(f) be the first derivative of -f + 32/5*f**2 + 8 + 1/15*f**4 + 16/15*f**3. Let l(k) be the first derivative of r(k). Factor l(w).
4*(w + 4)**2/5
Let f(a) be the third derivative of a**8/2856 + 2*a**7/357 + a**6/85 - 4*a**5/51 - 16*a**4/51 + 3*a**2 - 3*a. Determine n so that f(n) = 0.
-8, -2, 0, 2
Suppose -k - 3*n = -0*k - 10, 4*k = -n - 15. Let f = k - -8. Factor -a**4 + 3*a**5 - 186*a**f + 180*a**3 + 4*a**4.
3*a**3*(a - 1)*(a + 2)
Let q be 3 + 6 + (-36)/12. Factor 2*c**4 + 1/2 + 3*c + q*c**3 + 13/2*c**2.
(c + 1)**2*(2*c + 1)**2/2
Let k = 178/573 - -68/191. Factor 1/3*a - 1/3*a**3 - k*a**2 + 2/3.
-(a - 1)*(a + 1)*(a + 2)/3
Let o(x) be the first derivative of -4*x**3/9 - 100*x**2/3 - 2500*x/3 + 74. Determine z, given that o(z) = 0.
-25
Let g be 3 + (-4)/((-16)/(-28)). Let n(m) = -m**3 - 6*m**2 - 9*m - 1. Let y be n(g). Find d such that -2*d + 4*d**y - 22/3*d**2 + 4/3 = 0.
-1/2, 1/3, 2
Let n(x) be the first derivative of x**6/33 - 2*x**5/55 - 5*x**4/22 + 10*x**3/33 + 4*x**2/11 - 8*x/11 + 498. What is t in n(t) = 0?
-2, -1, 1, 2
Factor -1350*p - 2*p**3 - 5369 - 74*p**2 - 16*p**2 + 1264 - 2645.
-2*(p + 15)**3
Let u(w) be the first derivative of -16/3*w**3 + 2*w**4 + 8/5*w**5 + 17 + 8*w - 2*w**2 - 2/3*w**6. Suppose u(c) = 0. What is c?
-1, 1, 2
Suppose 0 = -5*q - 12 + 17. Let d(x) = x**2 + 9*x + 9. Let k(j) = -1. Let n(a) = q*d(a) + k(a). Factor n(p).
(p + 1)*(p + 8)
Let b(h) = 2*h**2 + 4*h - 4. Let c(k) = 2*k - 7 + 3*k**2 + 4*k - k + 3*k. Let i(l) = -7*b(l) + 4*c(l). Factor i(y).
-2*y*(y - 2)
Let j(z) be the third derivative of 0*z**3 - 7*z**2 - 1/315*z**7 + 1/18*z**4 - 1/90*z**6 + 0 + 0*z + 1/90*z**5. Factor j(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/3
Let w be 48/26 - 8/(-52). Let 2/13*r**w - 28/13*r + 98/13 = 0. What is r?
7
Let 0 + 1/2*w**2 - 4*w = 0. What is w?
0, 8
Let u(c) be the second derivative of -8*c**2 - 16/3*c**3 - 5/3*c**4 - 22*c + 0 - 1/5*c**5. Factor u(g).
-4*(g + 1)*(g + 2)**2
Let m be 15 + (5 - (4 + -3)). Suppose -i - 2*v = v + 12, -2*v = -3*i + m. Factor -2/5*k**i + 0 + 0*k + 1/5*k**4 + 1/5*k**2.
k**2*(k - 1)**2/5
Let f(o) be the third derivative of -o**6/90 + o**5/15 - o**4/6 + 4*o**3 - 32*o**2. Let c(b) be the first derivative of f(b). Factor c(l).
-4*(l - 1)**2
Suppose -3*g = -6*g + 12*g - 4*g. Determine y so that 0*y**3 + 4/17*y**5 - 2/17*y**2 + g + 0*y + 6/17*y**4 = 0.
-1, 0, 1/2
Let l(s) be the third derivative of 3/10*s**6 - 11/70*s**7 + 3/112*s**8 + 0 + 24*s**2 + 0*s**4 - 1/5*s**5 + 0*s + 0*s**3. Find q, given that l(q) = 0.
0, 2/3, 1, 2
Let j = 6 - 3. Let p(a) = 2*a**3 - 3*a**2 - 15*a - 10. Let l(o) = 5*o**3 - 5*o**2 - 30*o - 20. Let d(v) = j*l(v) - 5*p(v). Determine u so that d(u) = 0.
-1, 2
Let i(x) = 2*x**5 - 21*x**4 + 15*x**3 + 41*x**2 - 27*x + 3. Let c(l) = l**5 - 10*l**4 + 7*l**3 + 20*l**2 - 14*l + 2. Let b(k) = -13*c(k) + 6*i(k). Factor b(j).
-(j - 2)**2*(j - 1)**2*(j + 2)
Let j(u) = -u**3 + u**2 + u - 4. Let t(k) = -8*k**3 + 16*k**2 + 44*k - 16. Let p(c) = -4*j(c) + t(c). Find q, given that p(q) = 0.
-2, 0, 5
Let y = 13 + -7. Suppose -2*u + y = -0*u. Factor -u*a + 3*a - 25*a**2 + 22*a**2.
-3*a**2
Let u be ((-22)/(-14) + -2)*-7. Solve -2161*i**2 - 3*i**u - 28 + 33*i + 10 + 2149*i**2 = 0 for i.
-6, 1
Let q(w) be the first derivative of -21*w**2 - 35 - 46/3*w**3 + 4*w. Factor q(f).
-2*(f + 1)*(23*f - 2)
Let d be 1662/14 + (64/28 - 2). Let y be (-3)/4 + (5 - d/28). Solve y + 0*g - 2/3*g**3 + 0*g**2 - 7/3*g**4 = 0.
-2/7, 0
Let i = 171/118 + 3/59. Let c be -9 + -10 + (-2890)/(-136). Determine z so that -c + 3/4*z**2 + i*z = 0.
-3, 1
Let c be 16/12*3/2. Let a be 3*1/(72/32). Factor -a + 4*h - 5/3*h**c.
-(h - 2)*(5*h - 2)/3
Let q(o) be the first derivative of -o**5/15 - 2*o**4/3 + 10*o**3/3 + 3*o**2 + 12. Let a(y) be the second derivative of q(y). What is k in a(k) = 0?
-5, 1
What is c in 9*c - 2 - 3/4*c**4 + 19/4*c**3 - 21/2*c**2 = 0?
1/3, 2
Suppose 11 = w - 57. Factor 103*o - 16 - w*o**2 - 182*o - o - 16*o**3.
-4*(o + 2)**2*(4*o + 1)
Solve 2855*n**3 + 340*n - 5602*n**3 - 120 + 2862*n**3 - 330*n**2 - 5*n**5 = 0.
-6, 1, 2
Suppose -26*j = 34*j - 420. Let l(h) be the third derivative of 0*h + j*h**2 - 1/6*h**3 + 2/45*h**5 - 1/72*h**4 + 0 - 1/90*h**6. Suppose l(q) = 0. What is q?
-1/2, 1, 3/2
Let t be 416/91 + (-8)/14. Factor 3*m**3 + 4*m**4 - t*m**4 + 2*m**2 + m**4.
m**2*(m + 1)*(m + 2)
Factor -17/4*p**3 - 4/3*p - 49/12*p**2 - 19/12*p**4 + 0 - 1/12*p**5.
-p*(p + 1)**3*(p + 16)/12
Let v(w) = -w**3 - w. Let m(l) = 2*l**4 + 24*l**3 - 6*l**2 - 44*l - 32. Let f(g) = -m(g) - 8*v(g). Factor f(k).
-2*(k - 2)*(k + 1)**2*(k + 8)
Let w(h) be the third derivative of h**5/20 + h**4/8 - h**3 + 16*h**2 - h. Determine y, given that w(y) = 0.
-2, 1
Let h(x) be the first derivative of x**5/50 + 13*x**4/60 + 4*x**3/15 - 6*x**2 + 3. Let k(p) be the second derivative of h(p). Factor k(b).
2*(b + 4)*(3*b + 1)/5
Let k(c) = -34*c - 66. Let l be k(-2). Find v such that 0 + 1/2*v**l - v = 0.
0, 2
Let k(r) = r**2 - r + 1. Let v(m) = -27*m**2 - 5 + 12*m**2 - 8*m + 48*m. Let b(z) = -20*k(z) - v(z). Factor b(p).
-5*(p + 1)*(p + 3)
Let r be ((8/6)/4*(-126)/21)/(-1). Find h such that -h**3 + 0 + 4/5*h + 4/5*h**r -