(y) = -4*n(y) - 5*w(y). Let m(t) = 0. Calculate t.
-1, 1
Let q(v) be the second derivative of -3*v**7/56 + v**6/10 + 3*v**5/80 - v**4/8 - 6*v. Factor q(h).
-3*h**2*(h - 1)**2*(3*h + 2)/4
Let y(k) be the second derivative of -k**4/14 - k**3/14 + 3*k**2/14 + 11*k. Determine c, given that y(c) = 0.
-1, 1/2
Let v(m) be the first derivative of 0*m + 6 - 5/3*m**3 - m**2. Factor v(s).
-s*(5*s + 2)
Factor -2 - 818*w**2 + 823*w**2 + 12 - 15*w.
5*(w - 2)*(w - 1)
Let w = -19 - -18. Let g(h) = -2*h**2 + 4*h - 6. Let q(o) = -o**2 + o - 1. Let c(d) = w*g(d) + 4*q(d). Factor c(b).
-2*(b - 1)*(b + 1)
Let y = 223 + -386. Let p = 493/3 + y. Let 0 + 2/3*b**2 + p*b = 0. What is b?
-2, 0
Let z be ((-4)/5)/((-10)/25). Suppose -z*t - 2*s = 7 - 3, 4*t + 4 = -2*s. Factor 1/4*d**2 + t + 1/4*d.
d*(d + 1)/4
What is d in 50*d**3 - d + d**2 - d - 49*d**3 = 0?
-2, 0, 1
Let 28 - 36*d + 150*d**4 - 174*d**2 + 63*d**5 + 4 - 8 - 27*d**3 = 0. Calculate d.
-2, -1, -2/3, 2/7, 1
Let d(l) be the first derivative of l**4/8 - 3*l**2/4 + l + 1. Factor d(r).
(r - 1)**2*(r + 2)/2
Let h(z) = z - 1. Let p(f) be the second derivative of f**6/15 + f**5/10 + f**3/2 - 3*f**2/2 - 2*f. Let a(j) = 3*h(j) - p(j). Determine r so that a(r) = 0.
-1, 0
Suppose -8 = -2*h - 2. Let z(a) be the second derivative of a + 0*a**2 + 0 + 1/9*a**h - 1/18*a**4. Factor z(s).
-2*s*(s - 1)/3
Let n(m) = -6*m**4 + 5*m**3 - 4*m**2 - m + 3. Let j(z) = 25*z**4 - 20*z**3 + 17*z**2 + 4*z - 13. Let k(c) = 6*j(c) + 26*n(c). Factor k(y).
-2*y*(y - 1)**2*(3*y + 1)
Let h(v) be the third derivative of v**6/30 - v**5/15 - 5*v**4/6 - 2*v**3 - 6*v**2. Factor h(o).
4*(o - 3)*(o + 1)**2
Solve 4*g**2 - 6*g**4 - 44*g**4 - 14*g**4 + 64*g**3 - 4*g = 0.
-1/4, 0, 1/4, 1
Let y(p) be the second derivative of 0 + 0*p**3 + 1/40*p**5 + 3*p + 0*p**2 - 1/48*p**4 - 1/120*p**6. Let y(n) = 0. What is n?
0, 1
Let l(c) = -9*c**3 + c**2 - c - 3. Suppose 2*t - 8 = -2. Let m(j) = 3*j**2 - 9*j**3 - 5 - j + j**t - 9*j**3. Let s(r) = -5*l(r) + 3*m(r). Factor s(x).
-2*x*(x - 1)*(3*x + 1)
Suppose -5*j + 0*j = -3*j. Factor 0*z + 1/2*z**3 - 1/2*z**2 + j - 1/2*z**5 + 1/2*z**4.
-z**2*(z - 1)**2*(z + 1)/2
Let j(h) = 5 + 2 + h - h**3 + 3 - 2*h**2 - 3. Let r(s) = -s**3 - s**2 + s + 3. Let l(n) = 4*j(n) - 10*r(n). Suppose l(a) = 0. What is a?
-1, -1/3, 1
Solve -8/5*j**3 + 12/5*j**2 - 8/5*j + 2/5*j**4 + 2/5 = 0.
1
Let h(w) be the first derivative of w**4/14 + 2*w**3/7 + 2*w**2/7 - 16. Let h(x) = 0. What is x?
-2, -1, 0
Let n be 0/4*2/(-4). Let f(x) be the first derivative of 0*x - 2 + n*x**2 + 2/27*x**3 + 2/45*x**5 + 1/9*x**4. Suppose f(k) = 0. What is k?
-1, 0
Let g be (-3)/(-12) + 60/16. Factor -3*d + 8 - 3*d + 2*d**2 - g.
2*(d - 2)*(d - 1)
Let c = -113134/237 - -1432/3. Let h = 87/316 + c. Factor 0 - 1/4*v**2 + 0*v - 1/4*v**3 + h*v**4 + 1/4*v**5.
v**2*(v - 1)*(v + 1)**2/4
Let g(c) be the third derivative of -c**8/1008 + 4*c**7/315 - 5*c**6/72 + 19*c**5/90 - 7*c**4/18 + 4*c**3/9 - 15*c**2. What is j in g(j) = 0?
1, 2
Let g(y) = -y**2 - 4*y - 2. Let q be g(-2). Factor q*m**5 + 1/2*m**3 + 0*m**2 + 5/2*m**4 + 0 + 0*m.
m**3*(m + 1)*(4*m + 1)/2
What is k in -4*k**5 - 8*k - k**2 + 4*k**4 - 103*k**3 + 115*k**3 - 3*k**2 = 0?
-1, 0, 1, 2
Suppose -8*r + 18*r = 0. Factor -4/5*h**2 + 16/5*h**3 + r + 0*h - 12/5*h**4.
-4*h**2*(h - 1)*(3*h - 1)/5
Let v be 6 + (1 - 9) - (-18)/5. Solve v*n - 14/5*n**4 + 8/5 + 52/5*n**3 - 54/5*n**2 = 0 for n.
-2/7, 1, 2
Let l(o) be the second derivative of -3/70*o**7 + 1/100*o**5 - 1/60*o**4 + 0*o**3 + 0 + 3*o + 3/50*o**6 + 0*o**2. Solve l(q) = 0 for q.
-1/3, 0, 1/3, 1
Let c(k) be the third derivative of k**5/15 + k**2. Find p, given that c(p) = 0.
0
Let a(h) = -5*h**2 + 2*h + 6. Let l(u) = 13*u**2 - 7*u - 18. Let p(b) = 8*a(b) + 3*l(b). Factor p(i).
-(i + 2)*(i + 3)
Let t(w) = -3*w + 15. Let f be t(5). Factor f + 2/9*c**2 - 4/9*c**3 + 2/9*c**4 + 0*c.
2*c**2*(c - 1)**2/9
Let o(h) be the third derivative of h**8/1680 - 4*h**7/525 + 2*h**6/75 - 4*h**2. Factor o(x).
x**3*(x - 4)**2/5
Find k, given that 4/3 + 26/3*k**2 + 10*k = 0.
-1, -2/13
Let d(m) be the first derivative of -m**3/15 + m**2/10 + 2*m/5 - 16. Factor d(r).
-(r - 2)*(r + 1)/5
Let y(p) be the second derivative of -1/15*p**4 + 0*p**2 - 3*p + 0 + 1/15*p**3 + 1/50*p**5. Factor y(z).
2*z*(z - 1)**2/5
Suppose -3*l - f = -5, l - 4 = -f - 5. Solve 6/13 - 8/13*i - 4/13*i**2 + 8/13*i**l - 2/13*i**4 = 0.
-1, 1, 3
Let j = 177 - 177. Factor j*p**2 + 2/5*p - 2/5*p**3 + 0.
-2*p*(p - 1)*(p + 1)/5
Let r = 95 + -92. Factor 0*b + 6*b**2 + 0 - 36*b**r + 105/2*b**4.
3*b**2*(5*b - 2)*(7*b - 2)/2
Let q = -16 + 20. Let k(h) be the first derivative of -h**2 - 2/3*h**3 + q*h + 2. Factor k(f).
-2*(f - 1)*(f + 2)
Let a(v) be the first derivative of -16*v**6/15 - 16*v**5/25 + 7*v**4/10 - 2*v**3/15 + 10. Suppose a(f) = 0. Calculate f.
-1, 0, 1/4
Let t be (6/6 - -3) + -2. Factor 4/5*x - 4/5*x**3 + 0*x**t + 2/5*x**4 - 2/5.
2*(x - 1)**3*(x + 1)/5
Suppose -k - 2*m = 7, 3*k + 2*m - 4 = -5. Factor 1/2*p**k - 1/2*p**2 + 0 + 0*p.
p**2*(p - 1)/2
Let i(g) be the first derivative of -g**5/35 - 5*g**4/28 - 2*g**3/7 + 2*g**2/7 + 8*g/7 + 4. Factor i(f).
-(f - 1)*(f + 2)**3/7
Let c be 3/1*(-12)/(-18). Determine s so that 2/7*s - 4/7 + 4/7*s**c - 2/7*s**3 = 0.
-1, 1, 2
Let d(f) be the third derivative of 0*f + 1/60*f**6 + 3*f**2 + 0*f**3 + 0 + 1/30*f**5 - 1/6*f**4. Determine p, given that d(p) = 0.
-2, 0, 1
What is z in 0 + 0*z**2 + 1/3*z**3 + 0*z = 0?
0
Let w(y) = -1 + 0 + 2 + 17*y**2 - y - 9*y**4 - 4*y**3 + y**4. Let j(l) = 4*l**4 + 2*l**3 - 8*l**2. Let p(h) = -5*j(h) - 2*w(h). What is q in p(q) = 0?
-1, 1/2, 1
Find h, given that 1/2*h + 9/4*h**3 + 0 + 7/4*h**2 + 5/4*h**4 + 1/4*h**5 = 0.
-2, -1, 0
Factor -4/3 - 1/3*o**2 + 4/3*o.
-(o - 2)**2/3
Let t(b) be the third derivative of -7*b**8/120 + 2*b**7/15 + b**6/100 - 2*b**5/15 - b**4/15 - 13*b**2. Factor t(j).
-2*j*(j - 1)**2*(7*j + 2)**2/5
Let v(f) be the third derivative of f**6/40 + 2*f**5/105 - f**4/42 - 2*f**2. What is q in v(q) = 0?
-2/3, 0, 2/7
Let q(i) be the third derivative of i**7/735 + i**6/210 - i**4/42 - i**3/21 + 12*i**2. Determine c so that q(c) = 0.
-1, 1
Let m(c) be the second derivative of 3*c - 1/2*c**2 + 0 - 1/12*c**4 - 1/3*c**3. Find r such that m(r) = 0.
-1
Suppose 1/6*k**2 + 0 + 0*k = 0. Calculate k.
0
Find o such that -21/8*o**5 + 27/8*o**3 - 3/4*o + 15/8*o**4 - 15/8*o**2 + 0 = 0.
-1, -2/7, 0, 1
Let h = -6 + 9. Let k**2 - 3*k**h - 3 - k**2 - 3 + 9*k = 0. What is k?
-2, 1
Let x(d) be the first derivative of d**3/24 - d/2 + 19. Factor x(z).
(z - 2)*(z + 2)/8
Let j be (0/(-43))/((-2)/1). Let i(k) be the second derivative of j*k**2 + 0 + 1/50*k**5 + 4*k + 0*k**4 - 1/15*k**3. Factor i(p).
2*p*(p - 1)*(p + 1)/5
Factor 21/4*h + 3/2*h**3 - 3/4*h**5 - 3/2*h**4 + 6*h**2 + 3/2.
-3*(h - 2)*(h + 1)**4/4
Factor -4*x**2 - 13*x**3 + 4*x**3 + 2*x**4 + 7*x**3.
2*x**2*(x - 2)*(x + 1)
Let o(x) = x**3 - 3*x**2 + 3*x + 3. Let t(c) = -3*c**2 + 3*c + 3. Let k(n) = -3*o(n) + 4*t(n). Factor k(i).
-3*(i - 1)*(i + 1)**2
Let d(l) = 2*l**2 + 8*l - 16. Let c(w) = -11*w**2 - 48*w + 96. Let i(s) = 4*s**2 - 2*s + 4. Let f be i(3). Let o(a) = f*d(a) + 6*c(a). Solve o(m) = 0 for m.
4
Let h(z) be the third derivative of z**8/84 - z**6/6 + 2*z**4/3 - z**2. What is l in h(l) = 0?
-2, -1, 0, 1, 2
Let h(j) = -8 - 2*j + j**2 + 9 - 3*j**2 - j**3. Let v be h(-2). Factor -1/2*t**v + 1/2*t**2 + 3/2*t**4 + 0 + 0*t - 3/2*t**3.
-t**2*(t - 1)**3/2
Let d(r) be the first derivative of -r**4/2 + 2*r**3 - 8*r - 4. Suppose d(v) = 0. What is v?
-1, 2
Let h(d) be the third derivative of 2*d**7/735 - d**6/210 - 2*d**5/105 - 7*d**2. Factor h(u).
4*u**2*(u - 2)*(u + 1)/7
Suppose m = 4 + 5. Factor -2 + 8*r**2 + 10*r - 10*r**2 + m*r**3 - 14*r**2 - r**3.
2*(r - 1)*(2*r - 1)**2
Let h(s) be the first derivative of 49*s**4 - 112*s**3/3 + 8*s**2 + 18. Solve h(y) = 0.
0, 2/7
Let y = 287/5 - 57. Let q(w) be the first derivative of -1/2*w**6 - 1/2*w**2 - y*w**5 + 2/3*w**3 + 0*w + w**4 + 3. Let q(j) = 0. Calculate j.
-1, 0, 1/3, 1
Let q = -6 - -15. Let i be ((-15)/q)/(3/(-9)). Factor 2*g**5 - g**i + 2*g**3 - 2*g**5 - g.
-g*(g - 1)**2*(g + 1)**2
Let x be -3*(-51)/(-36) - (-7 + 2). Suppose 0 + 0*d - 1/4*d**5 + 3/4*d**4 - x*d**3 + 1/4*d**2 = 0. Calculate d.
0, 1
Let f be 2/6 + 10/6. Suppose -2*k = 5*w, -f*w + 0*k + 3*k = 0. Factor