late a.
-2/7, 1
Let z be 48/(3 + 0) + -1. Suppose -10*i + 7*i = -z. Factor 0*t - 8/7*t**4 - 6/7*t**i + 4/7*t**2 + 0 + 2/7*t**3.
-2*t**2*(t + 1)**2*(3*t - 2)/7
Let a be (-90)/(-8) + (-15)/60. Factor 5*q - 15*q**2 + q**3 - 10*q**3 - a*q.
-3*q*(q + 1)*(3*q + 2)
Let l be (3/(-6)*2)/(4*-1). Determine t so that 0*t + 1/2*t**3 + l*t**2 + 0 + 1/4*t**4 = 0.
-1, 0
Let a(m) be the third derivative of -m**8/1512 + m**6/540 + 10*m**2. Factor a(x).
-2*x**3*(x - 1)*(x + 1)/9
Suppose 5*c - 13 - 18 = 2*m, -2*c + 19 = -3*m. Let q(t) be the second derivative of t + 1/90*t**c + 0*t**2 + 0*t**4 + 0*t**3 + 0. Factor q(b).
2*b**3/9
Let k(w) = -11*w**2 - 60*w - 49. Let d(u) = 6*u**2 + 30*u + 24. Let g(x) = -5*d(x) - 3*k(x). Let g(m) = 0. Calculate m.
-9, -1
Let s(p) be the first derivative of 2*p**5/75 - p**4/20 - p**3/15 - p**2 - 1. Let a(v) be the second derivative of s(v). Factor a(h).
2*(h - 1)*(4*h + 1)/5
Let q(f) be the first derivative of 0*f + 3 - 1/3*f**4 + 0*f**2 + 2/9*f**3 + 2/15*f**5. Factor q(o).
2*o**2*(o - 1)**2/3
Let y = 3394 + -220587/65. Let t = -2/13 + y. Determine d so that 1/5*d**4 - t*d**5 + 0*d - 1/5*d**2 + 0 + 1/5*d**3 = 0.
-1, 0, 1
Factor -4 + 5*o**3 + 5 - 6*o**3 - 3*o + 3*o**2.
-(o - 1)**3
Let t(n) = 4*n**4 + n**3 - 3*n**2 + 2*n + 2. Suppose 2*q + 14 = 2. Let l(y) = 7*y**4 + y**3 - 5*y**2 + 4*y + 3. Let f(h) = q*l(h) + 10*t(h). Factor f(k).
-2*(k - 1)**3*(k + 1)
Let i(b) = b**3 + 7*b**2 - 3. Let z be i(-7). Let t be 12/(z/(-2) - -3). Find n such that 4*n**2 + 2/3*n**4 - t*n - 8/3*n**3 + 2/3 = 0.
1
Let r(i) be the third derivative of i**8/6720 + i**7/7560 - i**6/720 - i**5/360 - i**4/8 + 2*i**2. Let w(h) be the second derivative of r(h). Factor w(n).
(n - 1)*(n + 1)*(3*n + 1)/3
Suppose -2*p = -5*d - 11, -p + 4*d + 8 = -2. Let c(n) = 2*n**2 + n - 4. Let s be c(p). Let -4/7*u**3 - 2/7*u**s + 0*u + 0 = 0. What is u?
-1/2, 0
Let t(w) be the first derivative of -5 + 0*w**3 + 2/5*w + 3/10*w**2 - 1/20*w**4. Suppose t(k) = 0. Calculate k.
-1, 2
Let k(m) be the first derivative of 4*m**3/9 - 10*m**2/3 + 13. Factor k(s).
4*s*(s - 5)/3
Let j(l) be the third derivative of 3*l**8/560 - l**7/280 - l**6/60 + 2*l**3/3 + l**2. Let a(t) be the first derivative of j(t). Find d such that a(d) = 0.
-2/3, 0, 1
Let b(y) be the third derivative of 1/12*y**3 + 0*y + 1/24*y**4 - 4*y**2 + 0 + 1/120*y**5. Let b(m) = 0. Calculate m.
-1
Factor -39*r**4 + 2*r**2 + 0*r**3 + 2*r - 4*r**3 - 6*r**3 + 45*r**4.
2*r*(r - 1)**2*(3*r + 1)
Let u(m) be the first derivative of -m**6/6 + 11*m**5/10 - 11*m**4/4 + 10*m**3/3 - 2*m**2 + 2*m - 5. Let j(i) be the first derivative of u(i). Factor j(p).
-(p - 2)*(p - 1)**2*(5*p - 2)
Let 0 + 3*n**2 + 56*n**3 - 3*n + 1 - 57*n**3 = 0. What is n?
1
Suppose 2*g + 4*s = 2, 2*g - 2*s + 13 = -s. Let w = -3 - g. Factor 2/9*j + 2/3*j**3 - 2/3*j**w + 0 - 2/9*j**4.
-2*j*(j - 1)**3/9
Suppose -j + 1 = -3. Suppose z = 2*r - 0*z - 8, 0 = -2*z - j. Find k, given that -6*k**4 + k + 3*k**5 + 2*k**4 + 6*k**2 - 2*k**2 + r*k - 7*k**3 = 0.
-1, -2/3, 0, 1, 2
Find v, given that -1/2*v**2 + v + 0 = 0.
0, 2
Let b(z) be the third derivative of -1/24*z**6 + 0 + 0*z**3 - 1/140*z**7 + 4*z**2 - 3/40*z**5 - 1/24*z**4 + 0*z. Determine u so that b(u) = 0.
-2, -1, -1/3, 0
Let q(m) be the third derivative of -4*m**2 + 0*m**4 + 1/600*m**6 + 0*m**3 + 1/150*m**5 + 0*m + 0. What is a in q(a) = 0?
-2, 0
Let a(h) be the first derivative of -h**3 + 6/5*h**5 + 0*h + 5 + 3/4*h**4 + 0*h**2. Solve a(n) = 0 for n.
-1, 0, 1/2
Let v(l) be the first derivative of l**6/36 + l**5/15 - l**3/9 - l**2/12 - 6. Find b such that v(b) = 0.
-1, 0, 1
Let w(h) = 2*h**3 + 46*h**2 + 386*h + 1024. Let n(r) = -10*r**3 - 229*r**2 - 1931*r - 5120. Let j(b) = 4*n(b) + 22*w(b). Factor j(x).
4*(x + 8)**3
Suppose -q = -0*q - 2. Factor q*z + 6*z**3 + 4 - z**2 - 4 - 2*z**4 - 5*z**2.
-2*z*(z - 1)**3
Suppose 27*p + 16 = 35*p. Solve 4/7 + 4/7*l**p + 8/7*l = 0 for l.
-1
Let m(s) be the first derivative of -3*s**5/25 + 9*s**4/10 - 12*s**3/5 + 3*s**2 - 9*s/5 - 14. Let m(g) = 0. What is g?
1, 3
Let r(j) be the first derivative of j**4/24 - j**2/4 - 2*j + 1. Let h(w) be the first derivative of r(w). Factor h(i).
(i - 1)*(i + 1)/2
Let k(y) be the second derivative of y**7/1120 + y**6/480 - 7*y**3/6 + 6*y. Let g(z) be the second derivative of k(z). Factor g(r).
3*r**2*(r + 1)/4
Let o(q) be the first derivative of -4/15*q**3 + 0*q + 5 + 0*q**2 + 7/10*q**4. Factor o(k).
2*k**2*(7*k - 2)/5
Let z(c) be the third derivative of 1/180*c**6 - 1/108*c**4 + 3*c**2 + 0*c**3 + 0 + 0*c - 1/135*c**5. Factor z(n).
2*n*(n - 1)*(3*n + 1)/9
Let c = -260 + 260. Factor -f**2 + f**4 + 1/2*f**5 + c - 1/2*f + 0*f**3.
f*(f - 1)*(f + 1)**3/2
Factor -1/2*w**4 - 3*w**3 - 5/2*w**2 + 0*w + 0.
-w**2*(w + 1)*(w + 5)/2
Let o be (-14)/28 + 7/12. Let f(b) be the second derivative of 0 + b - 1/8*b**2 - 1/48*b**4 + o*b**3. Factor f(t).
-(t - 1)**2/4
Suppose 0 = -11*r + 19 + 14. Factor -1/2*v**r + 0 - v - 3/2*v**2.
-v*(v + 1)*(v + 2)/2
Let q(f) be the second derivative of 1/8*f**2 - 4*f + 1/40*f**5 - 1/12*f**3 - 1/48*f**4 + 0. Determine o, given that q(o) = 0.
-1, 1/2, 1
Let n(k) be the second derivative of -k**4/12 - 2*k**3/3 - 3*k**2/2 + 4*k. What is v in n(v) = 0?
-3, -1
Let f(t) = -t**2 + 10*t - 7. Let a be f(9). Let h be 1/(-1*a/(-4)). Factor 4*y - 2 - 3*y**2 + 0*y**2 + y**h.
-2*(y - 1)**2
Let i be (-1 + 0)/((-1)/2). Let q(z) = z**2 - 14*z + 2. Let l be q(14). What is p in l*p**2 - p**2 + 1 - 3*p - p**3 + i*p**2 = 0?
1
Let l(y) = 6*y**3 + y**2 - 6*y + 13. Let j(z) = 3*z**3 + z**2 - 3*z + 7. Let c(p) = -7*j(p) + 4*l(p). What is u in c(u) = 0?
-1, 1
What is l in 0*l + 0 + 1/3*l**2 - 1/6*l**3 = 0?
0, 2
Let b(w) = -4*w**2 + 4*w - 4. Let m(u) be the second derivative of -u**5/20 + 5*u**4/12 - u**3/2 + 3*u**2/2 - 9*u. Let h(p) = 3*b(p) + 4*m(p). Factor h(d).
-4*d**2*(d - 2)
Suppose 3*h = -h + 12. Let m(o) be the third derivative of 1/20*o**6 - 1/15*o**5 + 0*o + 0*o**h + 0*o**4 - 3*o**2 + 0. Find d such that m(d) = 0.
0, 2/3
Let d(v) be the third derivative of -v**5/135 - 13*v**4/216 - v**3/18 + v**2. Find y, given that d(y) = 0.
-3, -1/4
Suppose 4/9*z**3 - 4/9 + 1/3*z**2 - 4/9*z + 1/9*z**4 = 0. What is z?
-2, -1, 1
Let r = 69/20 + -13/4. Factor -1/5 + 3/5*b + r*b**3 - 3/5*b**2.
(b - 1)**3/5
Let t(c) = 2*c**2 - 5. Suppose 6 = -b - 1. Let m(o) = 5*o**2 + o - 11. Let p(v) = b*t(v) + 3*m(v). Find w such that p(w) = 0.
-2, -1
Let c(t) be the first derivative of 2*t**5/9 - t**4/6 - 14*t**3/27 + t**2/3 + 4*t/9 - 8. Find a such that c(a) = 0.
-1, -2/5, 1
Let l(j) = -j**2 + 6*j - 4. Let r(m) = -6*m + 3. Let t(p) = -3*l(p) - 4*r(p). Factor t(d).
3*d*(d + 2)
Let u = -7 - -10. Factor -2/5*o + 0 + 1/5*o**u + 1/5*o**5 + 3/5*o**4 - 3/5*o**2.
o*(o - 1)*(o + 1)**2*(o + 2)/5
Let d(x) be the second derivative of -x**5/70 - 2*x**4/7 - 16*x**3/7 - 64*x**2/7 + 9*x. Factor d(k).
-2*(k + 4)**3/7
Let z(i) be the second derivative of -i**7/280 + i**6/60 - i**5/40 - i**3/2 - i. Let w(m) be the second derivative of z(m). Determine b so that w(b) = 0.
0, 1
Let r = -191 + 193. Factor 10/7*n**4 + 8/7*n**3 + 0 + 4/7*n**5 + 2/7*n**r + 0*n.
2*n**2*(n + 1)**2*(2*n + 1)/7
Let a(f) = -f**3 + f**2 + 1. Let q(z) = -30*z**3 - 54*z**2 + 44*z - 14. Let h(x) = 6*a(x) + q(x). Suppose h(b) = 0. Calculate b.
-2, 1/3
Let a = -13 - -15. Let c(m) = m**2 + 2*m + 3. Let o be c(-2). Suppose 2*g**3 - g**3 - 3*g**2 - o*g**3 - g**a - 2*g = 0. Calculate g.
-1, 0
Suppose -35 = -5*t - 5. Let q(y) = -y + 8. Let p be q(t). Find u, given that 2*u - 4*u**2 + p + 3*u**2 - 3*u = 0.
-2, 1
Let m = -1262 - -5049/4. Solve -m + 1/2*n - 1/4*n**2 = 0.
1
What is z in 8/7*z + 6/7 + 2/7*z**2 = 0?
-3, -1
Let m(k) be the first derivative of 35*k**4/4 - 10*k**3/3 - 35*k**2/2 + 10*k - 22. Determine n so that m(n) = 0.
-1, 2/7, 1
Let g(m) be the first derivative of 4*m**3/3 - 2*m**2 - 2. Factor g(q).
4*q*(q - 1)
Let j(p) = -2*p**2 - p + 7. Let d(q) = -2*q**2 - q + 8. Let w(h) = 6*d(h) - 7*j(h). Let f(g) = g**2 - 1. Let k(o) = -f(o) + w(o). Factor k(y).
y*(y + 1)
Let t(a) = -a**2 - 7*a - 6. Let q(d) = -d**2 - 6*d - 5. Let g(r) = -7*q(r) + 6*t(r). Solve g(u) = 0 for u.
-1, 1
Let f(r) be the first derivative of r**7/945 + r**6/540 - r**5/270 - r**4/108 - r**2 + 2. Let j(g) be the second derivative of f(g). Factor j(o).
2*o*(o - 1)*(o + 1)**