 + 1. Let g(h) = -6*p(h) - 4*t(h). Factor g(x).
4*(x - 1)*(3*x + 1)
Factor -1/4 + 1/4*l**2 + 0*l.
(l - 1)*(l + 1)/4
Let z(n) be the first derivative of -2*n**5/5 + n**4 + 2*n**3/3 - 2*n**2 + 1. Factor z(m).
-2*m*(m - 2)*(m - 1)*(m + 1)
Let k(p) be the first derivative of p**6/120 + p**5/30 - p**4/24 - p**3/3 + p**2/2 - 1. Let v(q) be the second derivative of k(q). Factor v(j).
(j - 1)*(j + 1)*(j + 2)
Find d, given that 16 + 28*d**4 + 104*d**3 + 4*d**5 + 323*d + 100*d**2 - 259*d - 28*d**3 = 0.
-2, -1
Factor 196*l**2 + 34*l + 5*l + 15 + 73*l + 1.
4*(7*l + 2)**2
Let n be (442/(-39))/((-1)/(-3)). Let v = n - -137/4. Factor v*a**2 + 1 + a.
(a + 2)**2/4
Let n(w) = 66*w**2 - 66*w - 27. Let s(x) = -5*x**2 + 5*x + 2. Suppose 0 = -2*o - f + 88 - 29, 0 = -3*f + 15. Let b(i) = o*s(i) + 2*n(i). Factor b(y).
-3*y*(y - 1)
Let k(q) be the third derivative of q**8/448 - q**6/40 - q**5/40 + 3*q**4/32 + q**3/4 - 11*q**2. Factor k(m).
3*(m - 2)*(m - 1)*(m + 1)**3/4
Let -1/4 + 0*x**2 - 1/2*x + 1/2*x**3 + 1/4*x**4 = 0. Calculate x.
-1, 1
Let w = 15 - 11. Let c(x) be the third derivative of 0*x**w + 0 + 0*x - 1/300*x**6 + 0*x**3 - 1/150*x**5 + 2*x**2. Determine j so that c(j) = 0.
-1, 0
Let p = -8/131 + 462/3275. Let d(i) be the first derivative of 2/5*i**4 + 4/5*i**2 - 4/5*i**3 - p*i**5 - 2 - 2/5*i. Find n such that d(n) = 0.
1
Let f(n) be the third derivative of 0*n - 1/15*n**5 + 0 + 2/3*n**3 - 2*n**2 - 1/60*n**6 + 1/12*n**4. Factor f(v).
-2*(v - 1)*(v + 1)*(v + 2)
Let b(u) be the first derivative of 3*u**5/35 + 39*u**4/28 + 60*u**3/7 + 24*u**2 + 192*u/7 - 28. Let b(o) = 0. What is o?
-4, -1
Let d(h) be the second derivative of -7/60*h**6 - 1/8*h**4 + 0 - 3/10*h**5 + 0*h**2 - 5*h + 1/6*h**3. Solve d(j) = 0 for j.
-1, 0, 2/7
Let j(c) = 3*c**3 - 4*c**2 + 2*c + 2. Let l be j(1). Factor 0 + 0*q - 1/4*q**2 + 1/4*q**l.
q**2*(q - 1)/4
Suppose -10 = -4*i + 14. Let c(k) = 2*k - 12. Let l be c(i). Factor 4/7*n**4 + 1/7*n**2 + 5/7*n**3 + l + 0*n.
n**2*(n + 1)*(4*n + 1)/7
Let c(j) be the second derivative of 5/8*j**4 + 0 - 2*j - 11/40*j**5 - 3/4*j**3 + 1/2*j**2 + 1/20*j**6. Factor c(t).
(t - 1)**3*(3*t - 2)/2
Let m(u) = 4*u + 4. Let g(d) = -5*d - 4. Let n(y) = -6*g(y) - 7*m(y). Let i be n(3). Factor 32/5*v**i + 0 - 8/5*v - 14/5*v**3.
-2*v*(v - 2)*(7*v - 2)/5
Let i(p) be the third derivative of -p**6/480 + p**4/32 - p**3/2 + p**2. Let n(u) be the first derivative of i(u). Factor n(s).
-3*(s - 1)*(s + 1)/4
Let z(h) be the first derivative of -h**6/540 + h**5/180 + h**4/18 + 5*h**3/3 - 1. Let b(i) be the third derivative of z(i). Solve b(a) = 0.
-1, 2
Let p = 107 + -102. Let x(n) be the first derivative of 0*n + 0*n**2 - 6/25*n**p - 4 + 3/10*n**4 + 1/15*n**6 - 2/15*n**3. Factor x(d).
2*d**2*(d - 1)**3/5
Factor 2/9*v**3 + 0 - 2/3*v - 4/9*v**2.
2*v*(v - 3)*(v + 1)/9
Let k(w) be the second derivative of 5*w**7/42 - w**6/6 - w**5/4 + 5*w**4/12 - 14*w. Factor k(t).
5*t**2*(t - 1)**2*(t + 1)
Let r(t) = -3*t**4 - 5*t**3 - 4*t**2 + 2. Let i(c) = -2*c**4 - 3*c**3 - 2*c**2 + 1. Let o(z) = -5*i(z) + 3*r(z). Find k, given that o(k) = 0.
-1, 1
Factor 0*c + 0 + 0*c**2 - 2/13*c**3.
-2*c**3/13
Let v = -1/9 - -13/36. Factor 1/4 - 1/2*p + v*p**2.
(p - 1)**2/4
Let t be 6 + (-2 - 0) - 3. Let x be t - (0 + 12/28). Solve 6/7*z + 2/7 + x*z**2 = 0.
-1, -1/2
Factor -1/3*q**4 - 32/3*q - 8/3*q**3 - 16/3 - 8*q**2.
-(q + 2)**4/3
Let v(n) be the third derivative of n**8/672 - n**6/120 + n**4/48 + 13*n**2. Factor v(o).
o*(o - 1)**2*(o + 1)**2/2
Let j(p) be the third derivative of p**7/1050 - p**5/300 - 4*p**2. What is w in j(w) = 0?
-1, 0, 1
Let g = -5 + 7. Let -21*q - q**2 + 4*q**3 + 19*q + 3*q**g = 0. Calculate q.
-1, 0, 1/2
Let r be 1/(-3) + 52/12. Factor 2*o**3 + o**2 - 5*o**4 + 2*o**4 + 4*o**4 - 4*o**r.
-o**2*(o - 1)*(3*o + 1)
Let f(l) = -l**3 + 6*l**2 - 5*l - 5. Let w be f(5). Let r(m) = -m**2 - 7*m - 7. Let z be r(w). Find c, given that 0*c - 6/7*c**z + 0 - 2/7*c**2 = 0.
-1/3, 0
Factor -24/13 + 64/13*n - 10/13*n**2.
-2*(n - 6)*(5*n - 2)/13
Let i = 8 + 4. Let g be 2*(-2 + 28/i). Let w**3 - 1/3*w**2 - g*w + 0 = 0. What is w?
-2/3, 0, 1
Let u(a) be the second derivative of -a**7/105 + a**6/75 + a**5/50 - a**4/30 - 4*a. Factor u(m).
-2*m**2*(m - 1)**2*(m + 1)/5
Let x(b) = -2*b - 5*b**2 + 13*b + 4 + 2*b**2. Let r(j) = -j**2 + 5*j + 2. Let v(p) = 15*r(p) - 6*x(p). Let v(z) = 0. Calculate z.
-2, -1
Factor a**2 + 3*a**3 + 6*a**2 + 2*a**2 - 81 - 27*a.
3*(a - 3)*(a + 3)**2
Let c = -1100 - -1103. Factor 0 + 0*b**c + 0*b**2 + 1/2*b**4 + 0*b - 9/4*b**5.
-b**4*(9*b - 2)/4
Let i be -3 - (-2 - (4 + -1)). Let -1/4*a**3 - 1/4*a**4 + 0*a**i + 0 + 0*a = 0. What is a?
-1, 0
Factor 32/17 + 2/17*p**4 + 2/17*p**2 + 48/17*p - 12/17*p**3.
2*(p - 4)**2*(p + 1)**2/17
Let a = 184 - 116. Let p be 2 + a/(-16) + 3. Solve -p*x**2 + 1/4*x**3 + 3/4*x - 1/4 = 0.
1
Let j(z) be the third derivative of 0*z**4 + 0*z**6 - 1/105*z**7 + 0*z**3 - 5*z**2 + 1/30*z**5 + 0*z + 0. Find h such that j(h) = 0.
-1, 0, 1
Let c(r) be the first derivative of -74/3*r**3 + r**2 + 4*r - 18*r**4 - 3. Factor c(v).
-2*(v + 1)*(4*v + 1)*(9*v - 2)
Let x(m) be the third derivative of m**6/660 + m**5/66 + 2*m**4/33 + 4*m**3/33 - 23*m**2. Determine t so that x(t) = 0.
-2, -1
Let u(l) = 13*l**2 - 24 - 10*l + 22 - 5*l**2. Let k(v) = 9*v**2 - 11*v - 2. Let t(x) = -5*k(x) + 6*u(x). Solve t(o) = 0.
-1/3, 2
Let t be (-56)/(-10) - (-9)/(-15). Factor -6*j + 2*j**2 - 4 + 5*j**2 + t*j**2 - 2*j**2.
2*(j - 1)*(5*j + 2)
Solve 3/4*q**4 + 0*q**2 + 9/4*q**3 - 3*q + 0 = 0.
-2, 0, 1
Let k(t) = -25*t**4 - 144*t**3 - 166*t**2 + 80*t - 5. Let z(g) = -25*g**4 - 143*g**3 - 166*g**2 + 81*g - 6. Let y(q) = -3*k(q) + 4*z(q). Factor y(o).
-(o + 3)**2*(5*o - 1)**2
Let u(t) = -144*t**3 - 63*t**2 + 177*t + 129. Let m(j) = -9*j**3 - 4*j**2 + 11*j + 8. Let z(l) = 33*m(l) - 2*u(l). Factor z(c).
-3*(c - 1)*(c + 1)*(3*c + 2)
Let v(r) = r + 11. Let m be v(-6). Suppose 4*i - 18 = -2*h, -2 = h + m*i - 20. Factor 2*o**3 - 8*o**2 + h*o**3 + 2*o**4 - 3*o**4 + 4*o.
-o*(o - 2)**2*(o - 1)
Suppose 0 = -2*a - 5*n + 133, -2*a - 2*a - 4*n + 236 = 0. Suppose 56*k - 20*k**2 - 10 + 54*k**4 + 40*k + a*k**5 - 22 + 4*k**2 - 144*k**3 = 0. What is k?
-2, -1, 2/3
Let w = -30 - -34. Factor 2/3*u**2 + 0*u + 0 - 2/3*u**w - 2/3*u**5 + 2/3*u**3.
-2*u**2*(u - 1)*(u + 1)**2/3
Let s(t) be the first derivative of 2*t**3/33 - 8*t**2/11 + 32*t/11 - 2. Solve s(l) = 0.
4
Let s(g) be the first derivative of 2/5*g**3 + 1 + 2/5*g + 3/5*g**2 + 1/10*g**4. Factor s(o).
2*(o + 1)**3/5
Let m = 97/68 - 20/17. Factor 0*b + 0 + m*b**2.
b**2/4
Let i be 2 + (-4)/16*-4. Let x(q) be the first derivative of 1/6*q**2 + 2 + 1/18*q**6 - 4/15*q**5 + 0*q - 4/9*q**i + 1/2*q**4. Factor x(j).
j*(j - 1)**4/3
Suppose -t - 4*o - 12 = -5*t, -2*o - 12 = -4*t. Suppose -t*z = z. Solve 1/5*h**3 + z*h**2 - 3/5*h - 2/5 = 0.
-1, 2
Let b(i) be the third derivative of -1/40*i**6 + 1/20*i**5 + 1/210*i**7 + 0*i**3 - i**2 + 0 + 0*i - 1/24*i**4. Suppose b(f) = 0. What is f?
0, 1
Let t(l) = -l**2 - 1. Let r(h) = 3*h**3 + 3*h**2 - 9*h + 9. Let j(k) = r(k) + 9*t(k). Factor j(z).
3*z*(z - 3)*(z + 1)
Let f be (-10)/(-4)*6/(-5). Let w(i) = -i**2 - 3*i + 3. Let q be w(f). Solve -1/2*r + 5/4*r**2 - 3/4*r**q + 0 = 0 for r.
0, 2/3, 1
Let p be ((-80)/6)/(-4) + 64/(-48). Determine v, given that -6/7*v - 2/7*v**p + 4/7 - 2/7*v**4 + 6/7*v**3 = 0.
-1, 1, 2
Suppose -3/2*y + 0 + 3/2*y**2 - 3/2*y**4 + 3/2*y**3 = 0. Calculate y.
-1, 0, 1
Suppose j = 4, c - 6*j - 21 = -j. Suppose 0*n + x - 15 = -5*n, c = 4*n - 5*x. Find y such that 0*y**5 + 2*y**3 + 0*y**3 + 2*y**5 - n*y**4 = 0.
0, 1
Suppose 3*p + 13 + 6 = 4*t, 0 = t + 3*p - 1. Factor 3 + t + 4*d + 5 - 6 - 2*d**2.
-2*(d - 3)*(d + 1)
Let c(a) = -8*a. Let p(t) = t**2 - 8*t + 1. Let u(b) = 3*c(b) - 4*p(b). Factor u(q).
-4*(q - 1)**2
Let u(d) = -2*d + 2 + 4*d - d**2 + 2*d. Let z be u(4). Factor 3*h - 5*h - z*h - 9*h**2 + 3*h**2 - 2*h**3.
-2*h*(h + 1)*(h + 2)
Let c = -11069/30 + 369. Let r(b) be the second derivative of -c*b**4 - b + 1/50*b**5 + 1/75*b**6 + 0*b**2 - 1/15*b**3 + 0. What is w in r(w) = 0?
-1, 0, 1
Let 3/7*w**2 + 12/7 - 12/7*w = 0. Calculate w.
2
Let a(c) be the second derivative of -c**4/30 - 2*c**3/15 - c**2/5 - 2*c. Factor a(i).
-2*(i + 1)**2/5
Let i(m) be the second derivative of 289*m**4/3 + 136*m**3 + 72*m**2 - 30*m. Suppose i