w?
-1, -1/2, 0, 1
Factor 1/2*x + 2*x**2 - 1 - 3/2*x**3.
-(x - 1)**2*(3*x + 2)/2
Let g(f) = -24*f + 12*f**2 + 28 - 2 - 5. Let n(h) be the second derivative of h**4/4 - h**3 + 5*h**2/2 - 4*h. Let v(d) = 2*g(d) - 9*n(d). Solve v(q) = 0 for q.
1
Let m be -6 + 18 + -20 + 42/5. Suppose -m*u**4 + 6/5*u**3 - 2/5*u**5 + 0 + 2/5*u**2 - 4/5*u = 0. Calculate u.
-2, -1, 0, 1
Let u be 2475/4350 - (-2)/(-29). Let d(s) be the first derivative of 21/10*s**5 - 5/4*s**4 - 5/6*s**6 - 1/2*s**3 - 8 + 0*s + u*s**2. Solve d(r) = 0 for r.
-2/5, 0, 1/2, 1
Let r be ((-14)/35)/(7/(-14)). Let v be (-13 + 3)*6/(-15). Suppose 16/5*i**2 + r*i**3 + v*i + 8/5 = 0. What is i?
-2, -1
Let i(y) = 21*y**3 + 153*y**2 - 594*y + 330. Let d(l) = -l**3 - 7*l**2 + 27*l - 15. Let f(r) = 45*d(r) + 2*i(r). Factor f(h).
-3*(h - 1)**2*(h + 5)
Find j such that -8/5*j - 2/5*j**5 + 2*j**4 + 8 - 10*j**2 + 2*j**3 = 0.
-2, -1, 1, 2, 5
Let o(r) be the second derivative of 0 + 0*r**2 + 8/3*r**3 + 8*r**4 + 41/5*r**5 + 14/5*r**6 + 9*r. What is w in o(w) = 0?
-1, -2/3, -2/7, 0
Factor 6 + 1/2*u**2 + 13/2*u.
(u + 1)*(u + 12)/2
Let j(d) be the third derivative of -d**6/30 + 16*d**5/15 - 62*d**2 - 2*d. Determine z, given that j(z) = 0.
0, 16
Let w(n) be the third derivative of -1/60*n**6 - 1/525*n**7 - 7/60*n**4 + 0 + 2*n - 2/15*n**3 - n**2 - 3/50*n**5. Let w(t) = 0. What is t?
-2, -1
Let -48 - 133*p**4 + 131*p**4 + 10*p**2 + 20*p**2 - 20*p = 0. Calculate p.
-4, -1, 2, 3
Suppose 3*b + 2*x = -2, -b + 0 = -x - 6. Determine w so that 3 - 4*w**b - 15 + w**2 + 15*w = 0.
1, 4
Let u(h) be the second derivative of -h**9/10584 + h**8/2940 - h**7/2940 + 5*h**3/2 - 2*h - 30. Let n(y) be the second derivative of u(y). Solve n(s) = 0 for s.
0, 1
Let k(g) be the first derivative of g**4/34 - 82*g**3/51 + 38*g**2/17 + 160*g/17 + 15. Find w, given that k(w) = 0.
-1, 2, 40
Factor 0 + 6/5*u + 16/5*u**2 + 12/5*u**3 + 0*u**4 - 2/5*u**5.
-2*u*(u - 3)*(u + 1)**3/5
Let h(i) = 4*i**2 + 40*i + 3. Let z be h(-10). Factor 4/3*u**z + 44/3*u - 20/3 - 28/3*u**2.
4*(u - 5)*(u - 1)**2/3
Let l(t) = 12*t**2 - 21*t - 17*t**3 + 14*t**3 + 4 + 5. Let z(n) = -3*n**3 + 13*n**2 - 22*n + 10. Let x(q) = -2*l(q) + 3*z(q). Factor x(j).
-3*(j - 2)**2*(j - 1)
Let a be (2*6/10)/((-70)/(-175)). Factor 0*k**2 + 0*k + 0 + 2/3*k**a.
2*k**3/3
Let l = -1 - -11. Suppose 5*a + 0*a = l. What is g in 10*g**2 + 5*g**3 - 2*g**a - g + 0*g - 3*g = 0?
-2, 0, 2/5
Let o(l) = l**3 - 5*l**2 - 4*l - 8. Let v be -2 - (64/(-2))/4. Let u be o(v). Factor -9*a**2 - 3 + 3 + 3*a**3 - u + 9*a + 1.
3*(a - 1)**3
Let b(y) be the second derivative of y**5/10 - 11*y**4/6 + 35*y**3/3 - 25*y**2 - 214*y. Factor b(x).
2*(x - 5)**2*(x - 1)
Let h(x) be the first derivative of -2*x**3/27 - 19*x**2/9 + 44*x/3 - 1042. Determine d, given that h(d) = 0.
-22, 3
Factor 29/4*h**2 + 1 - 9*h + 6*h**3.
(h + 2)*(3*h - 2)*(8*h - 1)/4
Let c(f) be the second derivative of -1/15*f**6 + 1/6*f**4 + 0*f**2 - 1/10*f**5 + 0 + 1/3*f**3 + 3*f. Suppose c(q) = 0. What is q?
-1, 0, 1
Let r be -5*((-1584)/(-300))/(-11). Factor -3/5*w**2 + 3*w - r.
-3*(w - 4)*(w - 1)/5
Let 4 + 14*o**2 - 17*o - 18*o - 20*o + 37*o = 0. Calculate o.
2/7, 1
Let g(n) be the third derivative of -n**7/1155 - n**6/660 + n**5/165 + 185*n**2. Factor g(u).
-2*u**2*(u - 1)*(u + 2)/11
Let u(v) be the first derivative of -5*v**4/16 + 91*v**3/6 - 9*v**2 + 183. Find a, given that u(a) = 0.
0, 2/5, 36
Solve 40*m + 58*m + 424 - 547*m - 81*m + 102*m + 4*m**2 = 0 for m.
1, 106
Let f(p) = p + 17. Let b be f(-17). Suppose 4*n - 16 = -b*n. Suppose 0 + 1/3*t**5 - 2/3*t**3 + 0*t**2 + 0*t - 1/3*t**n = 0. Calculate t.
-1, 0, 2
Let p(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 1/12*d**5 + 0*d - 18*d**2 - 1/4*d**6 + 3/14*d**7. Let p(c) = 0. Calculate c.
0, 1/3
Let f = 71/148 - -3/148. Let k(t) be the second derivative of 4*t - 2/3*t**3 + 7/6*t**4 + 0 + 0*t**2 - f*t**5. What is c in k(c) = 0?
0, 2/5, 1
Let h be 4/(-2)*7/((-70)/20). Let k(b) be the second derivative of h*b + 0*b**2 - 1/10*b**6 + 9/20*b**5 - 1/2*b**4 + 0 + 0*b**3. Find t such that k(t) = 0.
0, 1, 2
Let j(g) be the second derivative of -g**4/28 + g**3/2 - 15*g**2/7 - 10*g + 5. Factor j(u).
-3*(u - 5)*(u - 2)/7
Let s(h) be the first derivative of 10 + 16*h**4 - 44/3*h**3 + 4*h**2 + 0*h - 28/5*h**5. Let s(w) = 0. Calculate w.
0, 2/7, 1
Let p(q) be the third derivative of -q**6/30 - q**5/15 + q**4/3 + 7*q**2 - 3*q. Factor p(z).
-4*z*(z - 1)*(z + 2)
Determine a so that 2/7*a**2 - 144/7*a + 0 = 0.
0, 72
Let c(j) = -5*j**2 - 100*j - 150. Let u(l) = 2*l - 1. Let k(x) = c(x) + 15*u(x). Determine g so that k(g) = 0.
-11, -3
What is s in -16*s**2 - 349*s**2 - 22253 - 61*s**2 + 22053 - 592*s + 18*s**3 = 0?
-2/3, 25
Let q(n) = 28*n**3 - n**2 - 3*n + 2. Let z be q(2). Factor s - 9*s + 8*s**2 + 107*s**4 + 107*s**4 - z*s**4 + 2*s**3.
-2*s*(s - 2)*(s - 1)*(s + 2)
Let y(p) be the third derivative of 4*p**2 + 0 + 0*p**3 + 1/540*p**6 + 0*p**4 - 1/270*p**5 + 0*p. Factor y(b).
2*b**2*(b - 1)/9
Let u = -16 + 19. Suppose -3*a + 2*a + u = 0. Factor -9*t**a + 5*t**2 + 4*t**5 - 4*t**4 - t**4 + 2*t + 3*t**5.
t*(t - 1)**2*(t + 1)*(7*t + 2)
Let b(r) = r**3 + 9*r**2 + 15*r + 11. Let n(a) = 3*a**3 + 19*a**2 + 29*a + 23. Let h(c) = -15*b(c) + 6*n(c). Factor h(m).
3*(m - 9)*(m + 1)**2
Let y(i) be the first derivative of -9*i**5/80 - 3*i**4/8 - i**3/2 + 5*i**2 + 22. Let q(o) be the second derivative of y(o). Factor q(d).
-3*(3*d + 2)**2/4
Let p = 563 + -563. Let z(y) be the first derivative of 0*y**2 + 1/2*y**3 + p*y - 6 - 3/8*y**4. Let z(v) = 0. What is v?
0, 1
Let g(b) be the third derivative of -b**5/240 + 3*b**3/2 - 480*b**2. Factor g(t).
-(t - 6)*(t + 6)/4
Let h(r) be the first derivative of -2*r**3/57 - 7*r**2/19 - 24*r/19 - 8. Solve h(m) = 0.
-4, -3
Let i(y) = 11*y**3 - y**2 + 2*y - 4. Let r be i(3). What is d in -4 - 3*d**2 - 7*d**2 - r*d**3 + 18*d + 5*d**4 + 272*d**3 + 9*d**4 = 0?
-1, 2/7, 1
What is b in 1/7*b**4 - 12/7*b**3 + 0 + 0*b + 0*b**2 = 0?
0, 12
Solve -200/17*p + 160/17*p**2 + 38/17*p**3 + 2/17*p**4 + 0 = 0.
-10, 0, 1
Suppose -2*t + 73 = -13. Factor -19 - 2*g**2 - t + 12 + 24*g - 22.
-2*(g - 6)**2
Let q(x) be the first derivative of -4/3*x**2 + 0*x - 47 - 4/9*x**3. Factor q(v).
-4*v*(v + 2)/3
Let x(b) = -20415*b**3 + 39983*b**2 + 1621*b + 3. Let y(v) = -10207*v**3 + 19992*v**2 + 810*v + 2. Let w(a) = -6*x(a) + 13*y(a). Solve w(n) = 0.
-2/101, 2
Suppose -69*h = -54*h - 45. Let g(j) be the second derivative of 0*j**3 - 1/4*j**4 + 3/20*j**5 + 1/10*j**6 + 0 - 1/14*j**7 - h*j + 0*j**2. Factor g(u).
-3*u**2*(u - 1)**2*(u + 1)
Let k(t) be the first derivative of 4/3*t**3 - t**4 + 12 + 10*t**2 + 12*t. Factor k(w).
-4*(w - 3)*(w + 1)**2
Let z(b) be the first derivative of 75*b**4 - 80*b**3 - 57*b**2/2 - 3*b - 72. What is k in z(k) = 0?
-1/10, 1
Let c(t) be the third derivative of 7*t**10/2160 - t**9/270 + t**8/840 + t**4/2 + 14*t**2. Let n(x) be the second derivative of c(x). Factor n(q).
2*q**3*(7*q - 2)**2
Let n be 2/((25/50)/((-4)/(-6))). Find x, given that -n + 5/3*x**3 - 4/3*x + 2*x**2 + 1/3*x**4 = 0.
-2, 1
What is x in 26*x**3 - 3*x**4 - 767*x**2 - 27*x**3 - 347*x + 1787*x + 73*x**3 - 1200 + 215*x**2 = 0?
2, 10
Let d(y) = 3*y + 2. Let i be d(-2). Let t = i - -8. Factor f**5 - 5*f**3 - 2*f - 15*f**4 + 5*f**t + 11*f**3 + 2*f**2 + 3*f**5.
2*f*(f - 1)**3*(2*f + 1)
Let g(t) be the first derivative of t**4/2 + 2*t**3/3 - t**2 - 2*t + 146. Factor g(q).
2*(q - 1)*(q + 1)**2
Let -92*s**3 + 26*s**2 - 2*s**4 + 5*s**4 + 18*s**2 + 12*s**2 + 9*s**4 = 0. Calculate s.
0, 2/3, 7
Let z(s) = s**5 - 6*s**4 + 19*s**3 - 10*s**2 - 2*s - 2. Let g(r) = 6*r**5 - 24*r**4 + 75*r**3 - 39*r**2 - 9*r - 9. Let y(b) = -2*g(b) + 9*z(b). Factor y(n).
-3*n**2*(n - 1)**2*(n + 4)
Let o(i) be the second derivative of 5*i**7/21 + 3*i**6/5 - 3*i**5/5 - 4*i**4/3 - 215*i. Let o(h) = 0. Calculate h.
-2, -4/5, 0, 1
Let m = 17/24 - 5/24. Suppose z = -4*z. Factor -n + z + m*n**2.
n*(n - 2)/2
Let c(o) be the first derivative of 12 + 9/14*o**4 + 16/7*o**2 - 2/35*o**5 - 16/7*o**3 + 0*o. Suppose c(t) = 0. Calculate t.
0, 1, 4
Let c(v) be the third derivative of -v**5/75 - 2*v**4/3 - 38*v**3/15 - 80*v**2. Factor c(y).
-4*(y + 1)*(y + 19)/5
Let c = 17 + -21. Let h be (6/c)/((-1)/2). Factor -3*j**3 + 3*j - 42*j**h + 28*j**4 + 49*j**5 - 28*j**2 + 0*j - 7*j.
j*(j