Let f(k) = y*d(k) + 33*r(k). Factor f(h).
-3*(h - 1)*(h + 1)*(h + 2)
Let h(v) be the second derivative of -v**6/60 - v**5/40 + v**4/6 + v**3/3 + 7*v + 1. Suppose h(p) = 0. Calculate p.
-2, -1, 0, 2
Let i(j) = 2*j - 5. Let n be i(5). Suppose n*t - 26 = 4*w, 7 = -3*w - 5. Factor -3*g + g**2 - t*g**2 + 2*g.
-g*(g + 1)
Let r be (-2 - 40/(-25)) + 4/10. Factor 0*v + 0*v**2 + 2/7*v**4 + r*v**3 + 0.
2*v**4/7
Solve -6*g**2 - 9*g**3 - 27*g**4 + 33*g**2 - 12*g**5 + 6*g + 15*g**3 = 0.
-2, -1, -1/4, 0, 1
Suppose 7*s = 10*s - 51. Suppose 5*x + s = -4*g, g + 7 = -3*x - 6. Find m, given that 0 - 1/4*m**3 + 1/4*m**g + 0*m = 0.
0, 1
Let b(j) be the second derivative of 2*j**2 + 0*j**3 + 0 - 1/4*j**4 + 1/20*j**5 + 3*j. Let t(x) be the first derivative of b(x). Factor t(w).
3*w*(w - 2)
Let r(g) be the second derivative of -g**4/18 - 2*g**3/3 - 3*g**2 - 7*g. Find b, given that r(b) = 0.
-3
Let u(s) be the third derivative of 1/240*s**6 + 0*s**5 - 4*s**2 + 0*s + 0 - 1/48*s**4 + 1/24*s**3 - 1/840*s**7. Suppose u(h) = 0. What is h?
-1, 1
Suppose 2*u = 5*y - 2, -y - 11 = -3*u + 3*y. Let d(a) = -a + 10. Let p be d(u). Let p - 2 + 1 - v + v**2 = 0. Calculate v.
0, 1
Let g(y) be the first derivative of -1 - 3/4*y**2 + 1/6*y**3 + y. Factor g(o).
(o - 2)*(o - 1)/2
Suppose -21/4*n + 3/8*n**2 + 39/8 = 0. What is n?
1, 13
Let m(k) be the first derivative of -k**8/7560 + k**7/3780 - 2*k**3/3 + 3. Let s(u) be the third derivative of m(u). Factor s(a).
-2*a**3*(a - 1)/9
Let g be 1 + ((-4)/28)/(2/2). Factor -6/7*c - g*c**2 - 2/7*c**3 - 2/7.
-2*(c + 1)**3/7
Suppose q + 1 = 3. Solve 2*l**q + 3 - 2 - l + 3*l - l**2 = 0 for l.
-1
Let o(w) be the first derivative of 2/3*w**3 + 0*w**2 - 1/180*w**6 + 0*w - 1/6*w**4 - 3 - 1/20*w**5. Let j(a) be the third derivative of o(a). Factor j(y).
-2*(y + 1)*(y + 2)
Let m = -3 - -6. Suppose 0 = -2*q - 3*w - 3, -m*w - 9 = -0. Factor 10/7*r**4 + 0 - 4/7*r**2 + 6/7*r**q + 0*r.
2*r**2*(r + 1)*(5*r - 2)/7
Let c(p) be the second derivative of p**7/8820 + p**6/2520 - p**5/210 - p**4/3 - 4*p. Let u(i) be the third derivative of c(i). Factor u(s).
2*(s - 1)*(s + 2)/7
Let p = 3 + 12. Suppose 5*t = 0, 2*t = 3*j - 8*j + p. Suppose -2*m**j + 4/3*m**2 + 4/3*m**4 + 0 - 1/3*m - 1/3*m**5 = 0. Calculate m.
0, 1
Let z(g) be the second derivative of -g**7/168 + g**6/80 + g**5/160 - g**4/32 + g**3/48 + 6*g. Suppose z(u) = 0. What is u?
-1, 0, 1/2, 1
Find q, given that 1/4*q**3 + 1/2*q**4 - 5/4*q**2 + 0 + 1/2*q = 0.
-2, 0, 1/2, 1
Suppose -j - 13 = -15. Factor 3/2*z - 1 - 1/2*z**j.
-(z - 2)*(z - 1)/2
Let h(w) be the first derivative of w**8/2184 - 2*w**7/1365 + w**5/195 - w**4/156 - w**2 + 1. Let u(f) be the second derivative of h(f). Factor u(b).
2*b*(b - 1)**3*(b + 1)/13
Factor -3/2 + 5*n - 2*n**3 + 9/2*n**2.
-(n - 3)*(n + 1)*(4*n - 1)/2
Let d(c) = 3*c**2 + c - 7. Let l(a) = -8*a**2 - 2*a + 20. Let s(g) = -14*d(g) - 5*l(g). Determine i, given that s(i) = 0.
-1
Let t(j) = -5 + 17 - j**3 + 5*j**2 - 9. Let x(r) = 2*r**3 - 6*r**2 - 2. Let k(q) = 2*t(q) + 3*x(q). Solve k(o) = 0.
0, 2
Let s be ((-2)/((-20)/(-6)))/((-96)/64). Factor s*l**2 + 2/5*l - 4/5.
2*(l - 1)*(l + 2)/5
Let i(s) = 18*s**2 - 21*s + 6. Let f(h) = h**2 - h + 1. Let k(j) = 15*f(j) - i(j). Solve k(v) = 0.
-1, 3
Factor 64/3*y**2 + 20/3*y**3 - 100/3*y**4 + 0 + 16/3*y.
-4*y*(y - 1)*(5*y + 2)**2/3
Factor -26*g**4 + 34*g**4 - 3*g**3 + 2*g**5 + 2*g + 8*g**2 + 15*g**3.
2*g*(g + 1)**4
Let f(j) = -j**4 + j**2 + j + 1. Let l(s) = -9*s**4 - s**3 + 11*s**2 + 9*s + 6. Let k(t) = -24*f(t) + 3*l(t). Factor k(p).
-3*(p - 1)**2*(p + 1)*(p + 2)
Let s be (0/5)/(-3*1). Factor -3*q**2 + 16*q - 2 - 4*q**3 - 7*q + s + 0.
-(q - 1)*(q + 2)*(4*q - 1)
Let u(h) be the first derivative of h**6/720 - h**4/48 + h**3 - 8. Let a(l) be the third derivative of u(l). Factor a(w).
(w - 1)*(w + 1)/2
Let b(p) be the second derivative of -p**7/294 - 2*p**6/105 - p**5/28 - p**4/42 - 13*p. Determine j, given that b(j) = 0.
-2, -1, 0
Let n(o) be the first derivative of -6*o - 3 - 27/8*o**4 - 15*o**3 + 69/4*o**2. Suppose n(r) = 0. Calculate r.
-4, 1/3
Factor 0 - 1/2*s**3 + 1/2*s**5 + 1/2*s**4 + 0*s - 1/2*s**2.
s**2*(s - 1)*(s + 1)**2/2
Factor 2/3*i**2 - 8/3 + 0*i.
2*(i - 2)*(i + 2)/3
Let j(z) be the second derivative of 1/3*z**4 + 5*z + 0*z**3 + 0*z**2 + 0. Factor j(k).
4*k**2
Let q = 4 - 0. Solve -4*z**q + 3*z + 2*z + 2*z**2 - 2*z**3 - 3*z**3 + z**2 + 1 = 0 for z.
-1, -1/4, 1
Let c(j) = j**2 + 3*j - 2. Let i(l) = -l + 1. Let s be i(5). Let b be c(s). Find r, given that 2/7*r**3 + 0*r**b + 0*r + 0 = 0.
0
Let g(p) be the third derivative of p**5/15 + p**4/3 + 2*p**3/3 - 7*p**2. Solve g(t) = 0.
-1
Suppose -a - v + 9 = -4*v, -a - 2*v - 6 = 0. Let o be a/((0 - -3) + -1). Suppose 2/3*q**2 + 0*q + 2/3*q**4 - 4/3*q**3 + o = 0. Calculate q.
0, 1
Suppose 72 = 4*p + 3*j + 10, 3*j = 4*p - 74. Let s = p + -17. Determine f, given that 0*f + s + 1/2*f**2 = 0.
0
Let z = 3284 - 36148/11. Let n = 142/55 + z. Find f, given that -2/5*f**3 + 2/5*f + 2/5*f**4 + 0 - n*f**2 = 0.
-1, 0, 1
Factor 4/3 - 6*w + 8/3*w**2.
2*(w - 2)*(4*w - 1)/3
Let u(s) = -s**4 + 11*s**3 + 7*s**2 - 8*s + 3. Let x(c) = -c**4 - c**3 - c**2 - 1. Let i(j) = -u(j) - 3*x(j). Determine g so that i(g) = 0.
-1, 0, 1, 2
Let h(q) = -q**3 - q**2 + q. Let a(i) = -i**3 + 6*i**2 + 23*i + 18. Let l(j) = -a(j) + 2*h(j). Factor l(f).
-(f + 2)*(f + 3)**2
Let i(l) = 5*l**4 - 11*l**3 + 11*l**2 + 3*l. Let r(h) = 9*h**4 - 21*h**3 + 21*h**2 + 5*h. Let v(y) = -5*i(y) + 3*r(y). Let v(f) = 0. Calculate f.
0, 2
Factor 0 - 1/3*q**5 + 1/3*q**2 - 1/3*q**4 + 0*q + 1/3*q**3.
-q**2*(q - 1)*(q + 1)**2/3
Let l(n) be the second derivative of -1/2*n**2 - 1/12*n**3 + 1/24*n**4 + 0 - 5*n. Solve l(g) = 0 for g.
-1, 2
Let o(a) be the second derivative of a**5/90 + a**4/54 - 4*a**3/27 - 4*a**2/9 + a. What is v in o(v) = 0?
-2, -1, 2
Suppose 5*c - 10 = 0, -3*d - 2*d + 79 = 2*c. Let g(a) = -a**2 + 16*a - 14. Let r be g(d). Factor r - 9/4*j**2 + 1/4*j**4 + j - 11/4*j**3 + 3/4*j**5.
(j - 2)*(j + 1)**3*(3*j - 2)/4
Let r = -9 + 9. Let g(v) be the third derivative of -4*v**2 + 1/300*v**6 + 0*v + 1/15*v**3 + r + 1/50*v**5 + 1/20*v**4. Factor g(j).
2*(j + 1)**3/5
Let o = 1 - -3. Let -9/2*f**3 + 0 + 3/2*f**o + 9/2*f**2 - 3/2*f = 0. What is f?
0, 1
Let x(j) = j**3 + j**2 + j. Let o(r) = 2*r**3 + r + 4*r**2 + 0*r**3 - 1 + 3*r + 0*r**2. Let t(y) = o(y) - 3*x(y). Find v, given that t(v) = 0.
-1, 1
Let p(v) be the first derivative of v**3/4 - 3*v**2/2 - 35. Solve p(c) = 0.
0, 4
Let c(i) be the second derivative of i**6/3 + 26*i**5/15 + 97*i**4/90 - 28*i**3/45 - 4*i**2/5 + i. Suppose c(u) = 0. Calculate u.
-3, -2/5, 1/3
Factor -3*f**4 + 15*f**3 + 6*f**4 - 18*f**3.
3*f**3*(f - 1)
Let s(u) = -u**3 - 7*u**2 + 2*u + 12. Let m(p) = -p**3 - 13*p**2 + 5*p + 24. Let t(q) = -2*m(q) + 5*s(q). Suppose t(h) = 0. What is h?
-2, 1
What is n in 4*n**2 + 16 + 128*n - 104*n + 8*n**2 + 2*n**3 = 0?
-2
Let u(b) = -3*b**2 + 0 + 2*b**2 - 1. Let k(d) = -19*d**2 - 4*d - 5. Let o(x) = -k(x) + 5*u(x). Factor o(s).
2*s*(7*s + 2)
Let d(y) = 4*y**4 - 16*y**3 + 8*y**2 + 32*y - 4. Let q(t) = -3*t**4 + 11*t**3 - 5*t**2 - 21*t + 3. Let r(s) = 5*d(s) + 8*q(s). Factor r(b).
-4*(b - 1)**3*(b + 1)
Let s = -90/7 - -471/35. Let h(d) be the first derivative of -s*d**5 + 0*d - 1/2*d**2 - 1/4*d**4 + d**3 - 3 + 1/3*d**6. Factor h(i).
i*(i - 1)**2*(i + 1)*(2*i - 1)
Let n(x) be the first derivative of 2*x**3/27 - 4*x**2/9 + 2*x/3 - 3. Find o, given that n(o) = 0.
1, 3
Let n(a) = a**3 + a**2. Let v(l) = l**3 + l**2 + 5*l - 3. Let h(o) = -6*n(o) + 3*v(o). Factor h(b).
-3*(b - 1)**2*(b + 3)
Let v(p) = 5*p**3 - 5*p**2 + 8*p + 6. Let r(j) = j**3 - j**2 + j + 1. Suppose -4*y + 5 = -7. Let n be 2*y/1*-1. Let z(d) = n*r(d) + v(d). Factor z(m).
-m*(m - 2)*(m + 1)
Determine v, given that -21 + 140*v**4 - 9 - 1932*v**2 + 145*v**3 - 145*v + 1822*v**2 = 0.
-1, -3/4, -2/7, 1
Let n = 4417/8 + -552. Factor 0 - 1/8*h**3 - n*h - 1/4*h**2.
-h*(h + 1)**2/8
Let r = -133/2 - -669/10. Suppose -2/5*u + r*u**4 + 2/5*u**3 - 2/5*u**2 + 0 = 0. What is u?
-1, 0, 1
Let 2/11*p**2 - 2/11*p**3 - 8/11 + 8/11*p = 0. Calculate p.
-2, 1, 2
Let g(n) be the second derivative of n**6/135 - 2*n**5/45 + 2*n**4/27 + 6*n. Factor g(o).
2*o**2*(o - 2)**2/9
Let c = 278 - 276. Factor -3*l + 3/2 - 9/2*l**c.
-3*(l + 1)*(3*l - 1)/2
Factor -27 - 6