v**4 + 3. Determine j so that c(j) = 0.
0, 1
Factor -1/4 - 5/8*r - 1/4*r**2 + 1/8*r**5 + 1/2*r**3 + 1/2*r**4.
(r - 1)*(r + 1)**3*(r + 2)/8
Let h(s) be the first derivative of -s**8/840 - s**7/210 + s**6/60 + s**5/15 - s**4/3 - 2*s**3/3 + 9. Let c(y) be the third derivative of h(y). Factor c(a).
-2*(a - 1)**2*(a + 2)**2
Let t(y) be the second derivative of 9*y**5/20 - y**4/4 + 24*y. Factor t(v).
3*v**2*(3*v - 1)
Let b be -1 + 5 - (-46)/(-12). Determine k so that 0*k + 0 - 1/6*k**3 - 1/6*k**4 + b*k**2 + 1/6*k**5 = 0.
-1, 0, 1
Let r be 5 - (4/6 + (-40)/60). Factor 0*m**2 + 0*m**4 + 2/3*m + 2/3*m**r + 0 - 4/3*m**3.
2*m*(m - 1)**2*(m + 1)**2/3
Suppose w + 11 = 5*q, -4*q + 5*w = -0*q - 13. Let l(t) be the first derivative of -1/16*t**4 + 1/8*t**q + 3 - 1/12*t**3 + 0*t + 1/20*t**5. Solve l(u) = 0 for u.
-1, 0, 1
Solve 4 - 1 + 6*i + 0 + 3*i**2 = 0.
-1
Let s be (-6 - -2)/4*-3. Let c(m) be the first derivative of 0*m + 2/3*m**s + m**2 - 1. Factor c(j).
2*j*(j + 1)
Let a(p) be the second derivative of p**6/30 + p**5/10 - p**4/4 - 4*p**3/3 - 2*p**2 + 9*p. Determine l, given that a(l) = 0.
-2, -1, 2
Let o(g) = -g**2 - 9*g - 5. Let r(y) = -4*y + 14*y - 1 + 7. Let c(b) = 6*o(b) + 5*r(b). Factor c(s).
-2*s*(3*s + 2)
Let t(v) be the second derivative of 5*v**4/18 + 2*v**3/3 + v**2/3 - v. Suppose t(g) = 0. Calculate g.
-1, -1/5
Let p(s) be the first derivative of 5 + 9/16*s**4 + 1/6*s**3 - 9/8*s**2 + 1/2*s - 1/5*s**5. Find b, given that p(b) = 0.
-1, 1/4, 1, 2
Let d(s) be the first derivative of 0*s - 1/5*s**2 - 2 + 4/15*s**3 - 1/10*s**4. Factor d(h).
-2*h*(h - 1)**2/5
Let u be (3 - 7)*(-4 - -3). Factor -1/2*i**u - 1/2*i**2 + i**3 + 0*i + 0.
-i**2*(i - 1)**2/2
Let p = -14 - -16. Let 3*k**p - 2*k - 2*k - 4*k + 2*k = 0. Calculate k.
0, 2
Let h = -738 + 3702/5. Factor -9/5*i**2 - 2/5*i - i**4 + 0 - h*i**3.
-i*(i + 1)**2*(5*i + 2)/5
Let s(h) be the third derivative of 0*h + 0 + 0*h**4 + 2*h**2 - 2/945*h**7 + 0*h**3 + 0*h**5 + 1/540*h**6 + 1/1512*h**8. Solve s(w) = 0 for w.
0, 1
Factor -196/5*y**3 + 32/5 + 56*y**2 + 208/5*y.
-4*(y - 2)*(7*y + 2)**2/5
Suppose -4 = 5*x + 1. Let p(k) = k**2 - 1. Let u(l) = l**2 - 1. Let z(o) = x*p(o) + 3*u(o). Factor z(q).
2*(q - 1)*(q + 1)
Suppose -20/3*d**2 + 5/6*d**5 - 5/2*d + 0 - 5*d**3 + 0*d**4 = 0. Calculate d.
-1, 0, 3
Suppose -4*h - 2*t = -3*t - 13, -5*h - t = -14. Let u be (2/(-3))/((-1)/h). Determine g so that 0*g**2 + 0*g**2 - 2*g**4 - 2*g**u - 4*g**3 = 0.
-1, 0
Let l(o) be the first derivative of 2*o**5/65 + 2*o**4/13 + 10*o**3/39 + 2*o**2/13 - 7. Factor l(u).
2*u*(u + 1)**2*(u + 2)/13
Let o(n) be the second derivative of n**7/8820 + n**6/2520 - n**4/3 + 5*n. Let z(y) be the third derivative of o(y). Let z(m) = 0. Calculate m.
-1, 0
Let y be 27/4 - 6/8. Let j = y - 3. Factor 2 + 48*f**j + 5*f**4 + 28*f**4 + f**2 - f**4 - 12*f + f**2.
2*(f + 1)**2*(4*f - 1)**2
Let d(z) = -z**3 - 3*z**2 - 4*z - 4. Let a(b) = -2*b**3 + 2 + 0 - 9*b - 6 - 5 - 7*b**2. Let o(g) = 4*a(g) - 9*d(g). Solve o(w) = 0 for w.
0, 1
Let f(z) be the first derivative of 5*z**3/6 + z**2/2 + z/10 + 11. Let f(v) = 0. Calculate v.
-1/5
Let o(v) = -v**2 + v + 1. Let m(c) = 4*c**4 - 40*c**3 + 138*c**2 - 166*c + 58. Let d(g) = m(g) + 6*o(g). Factor d(n).
4*(n - 4)**2*(n - 1)**2
Let p be 3 - (2/3 + 8/6). Find m such that p - 14*m**4 - 4*m**5 + 61/4*m**2 + 8*m - 25/4*m**3 = 0.
-2, -1/4, 1
Let s(q) be the second derivative of 0 + 4*q - 1/6*q**4 + 0*q**3 + q**2. Solve s(h) = 0 for h.
-1, 1
Let s(m) be the second derivative of 1/18*m**3 + 0 - 1/36*m**4 + 1/3*m**2 + 3*m. Determine x so that s(x) = 0.
-1, 2
Let s(p) be the second derivative of p**6/240 - p**5/48 + p**4/24 - p**3/3 + p. Let o(w) be the second derivative of s(w). Factor o(t).
(t - 1)*(3*t - 2)/2
Let v(z) be the first derivative of -z**5/10 - z**4/2 - z**3/3 + z**2 + 3*z/2 + 7. Factor v(x).
-(x - 1)*(x + 1)**2*(x + 3)/2
Let c(l) = 5*l + 7. Let u(m) = 3*m + 4. Let j(f) = 4*c(f) - 7*u(f). Let k(z) = -z**4 - 2*z**3 + z + 1. Let x = 10 - 9. Let w(s) = x*j(s) - k(s). Factor w(g).
(g - 1)*(g + 1)**3
Let w = -19 + 22. Let r(v) be the second derivative of 1/4*v**4 + 1/20*v**5 + 1/2*v**w + 0 + 1/2*v**2 + 3*v. Factor r(q).
(q + 1)**3
Suppose -2/5*m**3 - m**4 + 2/5*m + 0 + m**2 = 0. What is m?
-1, -2/5, 0, 1
Find i such that -2*i**4 - 12*i**3 - 9*i - 3 - 3*i - 18*i**2 - i**4 = 0.
-1
Let d(y) be the first derivative of 5*y**6/12 - 11*y**5/6 + 5*y**4/12 + 35*y**3/9 - 25*y**2/12 - 5*y/2 - 39. Solve d(v) = 0 for v.
-1, -1/3, 1, 3
Suppose r - 11 = -8. Find b, given that -4*b**4 - 33 + 13*b**3 + 0*b**4 - 48*b - r + 8*b**2 + 3*b**3 = 0.
-1, 3
Let w(r) be the third derivative of -r**7/3360 - r**6/720 - r**5/480 + 2*r**3/3 + 4*r**2. Let i(v) be the first derivative of w(v). Suppose i(u) = 0. What is u?
-1, 0
Find a such that -3/2*a**3 - a**2 - 1/6*a + 0 = 0.
-1/3, 0
Let x(h) = -h**2 + 4*h + 2. Let f be x(4). Let 6*z**4 - 10*z**3 + f*z + 2*z**2 - 2*z + 0*z**2 + 18*z**5 = 0. What is z?
-1, 0, 1/3
Suppose 5*u - 1 - 5 = -3*k, k - 2 = 3*u. Let t(p) be the second derivative of 1/24*p**4 + 1/6*p**3 + 2*p + u + 0*p**2 - 1/40*p**5. Factor t(o).
-o*(o - 2)*(o + 1)/2
Let p be (-2)/(-4) + 90/4. Let r = -21 + p. Determine i so that 0 + 0*i**r + 0*i + 2/9*i**3 = 0.
0
Let i(b) = -4*b**3 + 2*b**2 - 1. Let v be i(-1). Let 4*p**v + 0*p**4 + p**4 - 5*p**5 = 0. Calculate p.
0, 1
Suppose -3/2*n**3 - 1/2*n + 0 - 1/2*n**4 - 3/2*n**2 = 0. What is n?
-1, 0
Let d(z) be the first derivative of -z**7/42 + z**6/20 - z**5/40 - 5*z + 5. Let n(x) be the first derivative of d(x). Find p such that n(p) = 0.
0, 1/2, 1
Let w be (-2)/7 - 48/(-21). Solve f**2 + 3 + 2*f - 3*f + w*f**2 + 7*f = 0 for f.
-1
Let l(v) = -9*v**2. Let u(x) be the first derivative of -8*x**3/3 - 5. Let g(j) = 5*l(j) - 6*u(j). Factor g(s).
3*s**2
Let q(o) = -2*o - 3. Let t be q(-4). Let p be 4 + -1 + 2 + -3. Factor 3*g**2 + 0 + g**4 + 1 - t*g**p.
(g - 1)**2*(g + 1)**2
Suppose 2*m**2 - 88*m + 1 + m**3 - 3*m**2 + 87*m = 0. Calculate m.
-1, 1
Suppose -6*g + 140 = -g. Find y such that 3*y - 28 - 3*y**3 + g = 0.
-1, 0, 1
Let c(t) be the first derivative of -t**7/420 + t**5/60 + t**3 + 1. Let r(a) be the third derivative of c(a). Factor r(z).
-2*z*(z - 1)*(z + 1)
Determine i, given that 4/7*i**3 - 8/7*i**2 + 0 + 0*i + 4/7*i**4 = 0.
-2, 0, 1
Let b(s) be the first derivative of 4*s**3/3 + 2*s**2 - 8*s + 12. Solve b(f) = 0 for f.
-2, 1
Factor 49 - 49 - 9*f**2 + 6*f + 3*f**4.
3*f*(f - 1)**2*(f + 2)
Factor 0 + 1/2*x**4 - x**3 + 1/2*x**2 + 0*x.
x**2*(x - 1)**2/2
Let m(z) be the first derivative of z**4/10 - z**2/5 - 8. Let m(o) = 0. What is o?
-1, 0, 1
Let t(a) = -3 - a**5 + 2 + 0. Let i be 4/(-6) + 2/(-6). Let n(j) = -41*j**5 + 57*j**4 - 28*j**3 + 4*j**2 - 5. Let y(h) = i*n(h) + 5*t(h). Factor y(q).
q**2*(3*q - 2)**2*(4*q - 1)
Let s(d) = d**2 + d + 1. Let i(l) be the second derivative of -7*l**4/12 - 3*l**3/2 - 5*l**2/2 + 2*l. Let r(o) = i(o) + 5*s(o). Factor r(j).
-2*j*(j + 2)
Let l(m) = -m**2. Let f(w) = -31*w**2 - 2*w. Let k(u) = f(u) - 6*l(u). Determine z so that k(z) = 0.
-2/25, 0
Let d(x) be the first derivative of -x**3/8 - 3*x**2/2 - 21*x/8 + 5. Solve d(p) = 0 for p.
-7, -1
Let r(n) be the first derivative of n**3 + 12*n**2 + 48*n - 4. What is d in r(d) = 0?
-4
Let j(t) = -4*t + 2. Let k be j(2). Let p = 11 + k. Factor 2*g - p*g + g**2 + 2*g.
g*(g - 1)
Let q(v) be the first derivative of -3*v**4/16 - v**3/4 + 15*v**2/8 - 9*v/4 + 7. What is c in q(c) = 0?
-3, 1
Suppose -2*d = -5*l + 21, -2*l = -3*l + 5. Factor -d*m**2 - 2*m**3 - 5 + 5.
-2*m**2*(m + 1)
Suppose -15 = -5*i + 5. Suppose 3*a**2 - 2*a**2 + 20*a**4 - 21*a**i + a - a**3 = 0. What is a?
-1, 0, 1
Let o(t) = -t - 11. Let m be o(-6). Let g(v) = -6*v**2 + 3*v - 7. Let q(d) = 5*d**2 - 3*d + 6. Let l(f) = m*q(f) - 4*g(f). Find x such that l(x) = 0.
1, 2
Suppose -2*r + 0 = -12. Suppose -h = -r*h + 10. Factor -h*g + 0*g + 2*g + g**2 + g.
g*(g + 1)
Let b(y) = y**2 - 12*y + 6. Let z be b(10). Let d = 100/7 + z. Factor 2/7*m**2 - 2/7*m + d*m**3 - 2/7.
2*(m - 1)*(m + 1)**2/7
Let h(k) be the first derivative of -k**4/14 - 10*k**3/7 - 75*k**2/7 - 250*k/7 + 10. Let h(o) = 0. What is o?
-5
Determine x, given that -7*x**3 - 2*x + 9*x**3 - 1 + 2*x**2 - x**5 + x - x**4 = 0.
-1, 1
Let a(n) be the first derivative of -3/2*n**4 + 1/2*n**6 - 21/2*n**2 - 6/