 What is h?
-2, 1
Let p(k) = k**3 + k**2 - k + 1. Let h(w) = -4*w**3 - 10*w**2 + 9*w - 5. Let g(u) = 2*h(u) + 10*p(u). Factor g(i).
2*i*(i - 4)*(i - 1)
Let h(t) be the second derivative of t**6/480 + t**5/80 + t**4/48 - 3*t**2/2 + 3*t. Let k(w) be the first derivative of h(w). Determine l, given that k(l) = 0.
-2, -1, 0
Let q(v) be the first derivative of -v**4/8 + v**3/6 + v**2/2 + 6. Factor q(n).
-n*(n - 2)*(n + 1)/2
Let y(s) be the second derivative of -s**6/10 + 9*s**5/20 - s**4/2 + 7*s. Determine v, given that y(v) = 0.
0, 1, 2
Let k be 2/(-3) - (-24)/9. Factor 2*v**2 - 4*v**2 + 0*v**k.
-2*v**2
Let x(w) be the second derivative of -w**5/120 - w**4/24 - w**3/12 - 3*w**2/2 + 3*w. Let d(r) be the first derivative of x(r). Suppose d(y) = 0. What is y?
-1
Let w(j) be the third derivative of j**8/3360 - j**7/840 + j**6/720 + j**3/2 + 5*j**2. Let q(b) be the first derivative of w(b). Factor q(d).
d**2*(d - 1)**2/2
Factor 20/3*z + 5 + 5/3*z**2.
5*(z + 1)*(z + 3)/3
Suppose -q + 2*s = 2, -10 = -4*s - 2. Find w such that 28/5*w**q + 0 + 9*w**3 + 4/5*w - 28/5*w**4 - 49/5*w**5 = 0.
-1, -2/7, 0, 1
Let p = -323/3 - -109. Find y such that 2/3*y**3 - p - 2*y + 0*y**2 = 0.
-1, 2
Let l(p) be the second derivative of p**4/12 - 2*p**3/3 - 5*p**2/2 - p. Let m be l(5). Factor -2/3*b + m + 2/3*b**2.
2*b*(b - 1)/3
Let v(u) = 2*u - 4. Suppose -3 - 1 = -w. Let t be v(w). Factor -3*g**3 - 2*g**4 - g**t - g**2 + g + 4*g**2 + 2*g.
-3*g*(g - 1)*(g + 1)**2
Suppose 1 = 3*f + d - 7, -3*d + 8 = f. Suppose g - f*y = -0*g + 8, -3*y - 12 = 2*g. Factor 3*v**2 + 0*v + v**4 + v + g*v**3 + 3*v**3.
v*(v + 1)**3
Let z(m) be the second derivative of m**6/50 - 3*m**5/25 - 3*m**4/5 + 16*m**3/5 + 96*m**2/5 - 18*m. Factor z(k).
3*(k - 4)**2*(k + 2)**2/5
Let h(l) = l**3 - l**2 - l + 2. Let z be h(0). Factor 77 - 3*u**z - 6*u**3 - 77 - 3*u**4.
-3*u**2*(u + 1)**2
Let n(c) = -c**2 + 9*c - 10. Let h be n(7). Let -3*b**3 - b**3 - 3*b**3 + 3*b**2 - b + h*b**3 + b**4 = 0. Calculate b.
0, 1
Let 10*z**3 - 9 - 43*z**3 + 0*z**2 - 6*z**4 - 57*z**2 - 39*z = 0. What is z?
-3, -1, -1/2
Let m(h) = -h**2 + 2*h + 2. Let c be m(2). Factor o - 4 + 0*o**c - o**3 + o**2 + 2 + o**2.
-(o - 2)*(o - 1)*(o + 1)
Let o = -8 + 13. Find x such that -4*x**2 - 2*x + 3 - 2*x**o + 4*x**3 + 4*x**4 - x**4 - x**4 - 1 = 0.
-1, 1
Let x(w) be the second derivative of -w**5/20 - w**4/3 - 2*w**3/3 - 4*w. Factor x(f).
-f*(f + 2)**2
Determine h so that 14/9*h**3 - 14/9*h + 2/9*h**2 - 2/9 = 0.
-1, -1/7, 1
Suppose 0 = 2*i + 3*i. Suppose -3 = -k - i, -4*g + k = -9. Factor -8/3 + 2/3*q**4 + 16/3*q - 2/3*q**2 - 10/3*q**g + 2/3*q**5.
2*(q - 1)**3*(q + 2)**2/3
Let n(s) = 3*s**2 - 1. Let c be n(1). Factor 0*h**3 + 80*h**2 - 2*h**5 + c*h**4 + 4*h**3 - 80*h**2.
-2*h**3*(h - 2)*(h + 1)
Solve -357*f**3 - 452*f + 200 + 353*f**3 + 92*f - 78*f**2 = 0 for f.
-10, 1/2
Let s(k) = 23*k**3 + 25*k**2 - 19*k - 19. Let m(y) = 5 - 6*y**2 + 2*y**2 - 11*y**3 - 9*y**2 + 10*y + 5. Let o(u) = 5*m(u) + 2*s(u). What is i in o(i) = 0?
-2, -2/3, 1
Suppose 21*i**3 - 3/2*i + 9*i**2 + 9/2*i**5 - 3/2 + 33/2*i**4 = 0. Calculate i.
-1, 1/3
Let z = -2 + 2. Suppose z = -6*g + 3*g. Factor 0 - 2/3*c**4 + 0*c**2 - 2/3*c**3 + g*c.
-2*c**3*(c + 1)/3
Let g(v) be the second derivative of v**6/50 - 7*v**5/100 + v**4/20 + v**3/10 - v**2/5 + 4*v. Let g(t) = 0. Calculate t.
-2/3, 1
Factor -2/3*u**2 + 22/3 - 20/3*u.
-2*(u - 1)*(u + 11)/3
Let x be (-135)/(-36) - 2/(-8). Let o(z) be the second derivative of 1/8*z**2 - 1/168*z**7 + 0 - 1/40*z**6 - 1/40*z**5 + z + 1/24*z**x + 1/8*z**3. Factor o(r).
-(r - 1)*(r + 1)**4/4
Let f(p) = -p**2 - 7*p + 1. Let v be f(-7). Let i(m) be the first derivative of 0*m + v - 1/11*m**2 + 2/33*m**3. Let i(x) = 0. Calculate x.
0, 1
Let a = -3 + 5. Suppose 0 = -5*y - a*c + 8 + 19, 2*y - c = 9. Factor 6*r**4 - 2*r**4 + 2*r**y - 2*r**3 - 2*r**2 - 3*r**4 + r**4.
2*r**2*(r - 1)*(r + 1)**2
Suppose 20 = 4*v - j + 6*j, 0 = -2*v - j + 16. Factor 8 + v + 12*s + 3*s**2 - s**2.
2*(s + 3)**2
Let p(z) be the third derivative of 2*z**2 + 1/168*z**8 + 0*z + 0*z**5 + 0*z**6 + 0 + 0*z**3 + 2/735*z**7 + 0*z**4. Factor p(o).
2*o**4*(7*o + 2)/7
Let j be (0*3/6)/2. Let l(y) be the third derivative of 1/12*y**3 + 1/120*y**5 + 1/24*y**4 + y**2 + j*y + 0. Let l(z) = 0. Calculate z.
-1
Let r = 1642/5 - 328. Find n such that 1/5*n**2 + 1/5*n - r = 0.
-2, 1
Let b(w) be the second derivative of -3/2*w**2 - 3/10*w**5 + 1/14*w**7 + 1/2*w**4 + 1/2*w**3 - 1/10*w**6 + 0 + w. Factor b(d).
3*(d - 1)**3*(d + 1)**2
Factor -6*m**2 - 4*m**3 + 5 + 1 - 3*m + 7*m**3.
3*(m - 2)*(m - 1)*(m + 1)
Let m(b) = b**2 - 4*b - 3. Let s be m(5). Let f = -5 - -11/2. Find l, given that 0 - f*l + 1/4*l**s + 1/4*l**3 = 0.
-2, 0, 1
Let m(t) be the third derivative of t**6/1980 + t**5/110 + 3*t**4/44 + t**3/2 + 3*t**2. Let z(o) be the first derivative of m(o). Factor z(a).
2*(a + 3)**2/11
Let b(s) = 13*s**2 + 9. Let n(l) = 7*l**2 + 5. Let q(r) = -6*b(r) + 11*n(r). Factor q(w).
-(w - 1)*(w + 1)
Let z(v) be the second derivative of v**9/3024 - v**8/1260 - v**7/2520 + v**6/540 - v**3/3 + 2*v. Let j(a) be the second derivative of z(a). Factor j(r).
r**2*(r - 1)**2*(3*r + 2)/3
Let p = -651/4 + 162. Let l = p + 1. Let 0 + 1/2*v + l*v**2 = 0. Calculate v.
-2, 0
Let c(q) = q - 4. Let h be c(6). Factor 0*p**2 - 2*p**2 + 0*p**3 - h*p**3.
-2*p**2*(p + 1)
Let f(d) be the first derivative of -d**6/36 - 2*d**5/15 - 5*d**4/24 - d**3/9 - 10. Find h such that f(h) = 0.
-2, -1, 0
Let o(m) be the first derivative of 5*m**4/2 + 6*m**3 - 2*m**2 - 24. Solve o(a) = 0 for a.
-2, 0, 1/5
Let w(r) be the first derivative of -3 + 2*r**3 + 35/2*r**4 + 0*r - 2*r**2. Let w(y) = 0. Calculate y.
-2/7, 0, 1/5
Let k be (24/30)/(6/10). Let i(q) be the first derivative of -q**2 - 4 - 2/9*q**3 - k*q. Factor i(o).
-2*(o + 1)*(o + 2)/3
Let p(c) be the second derivative of c**6/45 + c**5/30 - c**4/18 - c**3/9 + 7*c. Determine f, given that p(f) = 0.
-1, 0, 1
Let w(v) be the first derivative of -v**6/180 + v**4/12 - 2*v**3/3 + 2. Let z(m) be the third derivative of w(m). Factor z(d).
-2*(d - 1)*(d + 1)
Factor -1/4*c - 1/4*c**3 + 1/2*c**2 + 0.
-c*(c - 1)**2/4
Let l(t) be the second derivative of t**5/40 - t**3/4 - t**2/2 - 3*t. Factor l(b).
(b - 2)*(b + 1)**2/2
Let b = 74 - 39. Let u be b/(-49) - (-1)/1. Solve -2/7*q**5 + 4/7*q - u*q**3 - 6/7*q**2 + 6/7*q**4 + 0 = 0.
-1, 0, 1, 2
Let f(u) be the first derivative of u**3 - 2. Factor f(i).
3*i**2
Let d be (7 + 1)*-2*6/(-16). Let y(t) be the first derivative of -2 + 1/2*t**4 + 0*t**3 + 0*t + 0*t**2 - 4/5*t**5 + 1/3*t**d. Suppose y(m) = 0. Calculate m.
0, 1
Suppose -2*q + 5*t = 0, -2*q + 3*t = q. Let u(n) be the first derivative of 2 + 1/6*n**2 - 1/9*n**3 + q*n. Determine w, given that u(w) = 0.
0, 1
Let l(q) be the second derivative of q**4/32 + q**3/16 - 30*q. Find r such that l(r) = 0.
-1, 0
Let 2*l**3 + 3*l + 173*l**2 - 1 - 176*l**2 - l**3 = 0. Calculate l.
1
Suppose 4*u - 5*u = -3. Let n(o) be the third derivative of 1/210*o**7 + 0*o + 0*o**4 - 2*o**2 + 0 - 1/30*o**5 + 0*o**6 + 1/6*o**u. Find y, given that n(y) = 0.
-1, 1
Let u(o) = -2*o**3 + 3*o**2 + 5*o - 3. Let p(s) = 10*s**3 - 14*s**2 - 24*s + 14. Let z(n) = 3*p(n) + 14*u(n). Find h, given that z(h) = 0.
-1, 0, 1
Factor 2/15*j**2 - 8/15 - 2/5*j.
2*(j - 4)*(j + 1)/15
Let y(m) be the second derivative of m**6/40 + 11*m**5/120 + m**4/12 - m**3/3 + 3*m. Let f(x) be the second derivative of y(x). Solve f(p) = 0.
-1, -2/9
Suppose -5*i - 3*i + 24 = 0. Let b(f) be the first derivative of -8/7*f - 24/7*f**2 - 30/7*f**i - 25/14*f**4 - 4. Factor b(v).
-2*(v + 1)*(5*v + 2)**2/7
Let q be (-1 + 51/60)/(13/(-52)). What is w in 2/5*w - 1/5 + q*w**2 = 0?
-1, 1/3
Let u(l) = -l**3 + l**2. Let p(c) = -5*c**2 - 35*c - 20. Let i(g) = -p(g) + 5*u(g). What is y in i(y) = 0?
-1, 4
Suppose 4*l + a - 2 = 1, -l - 4*a = 18. Suppose -4*v + l = -3*v. Factor 0*m + 0 + 0*m**3 + 0*m**v - 2/5*m**4.
-2*m**4/5
Let a(u) be the third derivative of 0*u**3 + 1/480*u**6 - 1/96*u**4 - 1/240*u**5 + 0 + 1/840*u**7 + 0*u - 2*u**2. Determine t so that a(t) = 0.
-1, 0, 1
Let z(j) be the first derivative of j**4 - 20*j**3/3 + 16*j**2 - 16*j - 10. Let z(g) = 0. What is g?
1, 2
Factor -9/4*t + 3/4 + 9/4*t**2 - 3/4*t**3.
-3*(t - 1)**3/4
Let v(s) = s**3 - 2*s**2 - 23*s + 7. Let k be v(-4). Let l(a) be 