What is h?
0, 1, 2
Let s(x) be the second derivative of -x**7/105 - 17*x**6/75 - 21*x**5/10 - 55*x**4/6 - 50*x**3/3 + 359*x. Solve s(v) = 0 for v.
-5, -2, 0
Let r(a) = 29*a**2 + 54*a - 2. Let u(z) = z - 1. Let i(t) = 3*r(t) + 6*u(t). Factor i(o).
3*(o + 2)*(29*o - 2)
Suppose -4*p = 4*g - 3*p - 39, 5*g + 2*p - 48 = 0. What is b in -19*b + 3*b - b**2 + g*b - 2*b**2 + 3*b**3 = 0?
-1, 0, 2
Let o(j) be the second derivative of j**6/105 - 9*j**5/35 + 31*j**4/14 - 80*j**3/21 - 192*j**2/7 + 3*j - 16. Solve o(y) = 0 for y.
-1, 3, 8
Let n(m) be the first derivative of 2*m + 15 + 1/2*m**2 - 1/3*m**3. Factor n(g).
-(g - 2)*(g + 1)
Factor -21 - 10*f + 40*f + 13 + 8*f**2.
2*(f + 4)*(4*f - 1)
Let f be (-4)/(-6) - (-1760)/60. Let x be (-2 + 11 + 3)/(f/4). Factor 4*c**2 - x*c - 6/5*c**3 - 16/5.
-2*(c - 2)**2*(3*c + 2)/5
Let s(f) = -f + 6. Suppose -5*j + w = -8 - 5, -3*j + 3 = -3*w. Let k be s(j). Factor 8*i - 9*i**3 - i**k + 4 - 4*i**4 - 8*i**3 + 10*i**3.
-4*(i - 1)*(i + 1)**3
Let q(t) be the third derivative of -t**7/700 + t**6/600 - 5*t**3/3 + 26*t**2. Let f(u) be the first derivative of q(u). Factor f(p).
-3*p**2*(2*p - 1)/5
Let g(j) = 6*j**4 + 12*j**3 + 24*j**2 + 15*j. Let y(k) = -5*k**4 - 13*k**3 - 24*k**2 - 14*k. Let l(m) = 2*g(m) + 3*y(m). Factor l(t).
-3*t*(t + 1)*(t + 2)**2
Let k(b) be the third derivative of -47*b**5/300 - 5*b**4/12 - b**3/10 + 8*b**2 + 14*b. What is n in k(n) = 0?
-1, -3/47
Suppose 0 = -3*p + p + h + 11, -2*h = -2. Let n be 1/p*(234/12)/13. Determine r, given that n*r - 1/4*r**4 + 3/4*r**3 + 0 - 3/4*r**2 = 0.
0, 1
Let q(v) be the third derivative of -v**8/40320 - v**7/5040 + v**6/480 + v**5/10 + 11*v**2. Let d(w) be the third derivative of q(w). Factor d(h).
-(h - 1)*(h + 3)/2
Let u(j) be the third derivative of -1/360*j**6 + 0 + 1/2016*j**8 + 0*j**3 + 0*j**5 - j**2 + 1/144*j**4 + 0*j + 0*j**7. Determine t, given that u(t) = 0.
-1, 0, 1
Let m = -254 + 246. Let n be m/(-10)*(-162)/(-24). Factor 12/5*c**4 + 18/5*c**2 + 0 - n*c**3 - 3/5*c.
3*c*(c - 1)**2*(4*c - 1)/5
Let t(s) be the third derivative of 5/8*s**6 - 19*s**2 + 0*s**3 + 0 + 1/2*s**4 + 0*s + s**5. Solve t(b) = 0.
-2/5, 0
Let p(f) be the first derivative of -3 - 1/15*f**3 + 5*f + 0*f**2 + 1/100*f**5 + 1/60*f**4. Let c(b) be the first derivative of p(b). Let c(t) = 0. Calculate t.
-2, 0, 1
Let g = 1 - -11. Suppose 0 = -3*u + x - 1, -9*u + g*u = -x + 1. Factor -10/9*d**3 + 0 + 8/9*d**4 + 4/9*d**2 - 2/9*d**5 + u*d.
-2*d**2*(d - 2)*(d - 1)**2/9
Let i(c) = c**3 - 9*c**2 - 11*c + 15. Let t be i(10). Find f such that 25*f**4 + 3*f**3 + 20*f**2 - f**t - 4*f**5 - 5*f**3 - 38*f**3 = 0.
0, 1, 2
Let w(d) = d**2 + 551*d - 4469. Let r be w(8). Factor 2/9*c - 4/3 + 4/3*c**2 - 2/9*c**r.
-2*(c - 6)*(c - 1)*(c + 1)/9
Let f be (32/80)/((-1)/(-10)). Factor -105*l**2 + 105*l**2 + f*l**3 - 12*l + 8.
4*(l - 1)**2*(l + 2)
Suppose -4 = -3*z + z. Suppose 26*f - 31*f + 15 = 0. Let f*n**2 - 4*n**2 + 0*n - n**z + 3*n = 0. What is n?
0, 3/2
Solve 6/7*k**4 + 4/7*k**2 - 2/7*k**5 - 10/7 - 18/7*k + 20/7*k**3 = 0.
-1, 1, 5
Let l(p) be the second derivative of p**7/21 + 4*p**6/5 + 11*p**5/5 - 14*p**4 + 49*p**3/3 + 58*p. Solve l(w) = 0.
-7, 0, 1
Let h be (-95)/(-4) - 3/4. Let p be h/46 - (-2)/((-4)/(-5)). Factor 2/5*l**5 + 2/5*l**2 + 0*l - 2/5*l**4 - 2/5*l**p + 0.
2*l**2*(l - 1)**2*(l + 1)/5
Factor -51/5*x - 6 - 24/5*x**2 - 3/5*x**3.
-3*(x + 1)*(x + 2)*(x + 5)/5
Let r(w) = 8*w**3 - 5220*w**2 + 454164*w - 13170036. Let c(z) = 3*z**3 - 2088*z**2 + 181666*z - 5268014. Let g(y) = 12*c(y) - 5*r(y). Let g(u) = 0. Calculate u.
87
Let n(w) be the first derivative of -w**6/15 + 4*w**5/25 - w**4/10 - 15. Factor n(u).
-2*u**3*(u - 1)**2/5
Solve -3/7*w**4 + 3*w**3 - 18/7 + 51/7*w - 51/7*w**2 = 0.
1, 2, 3
Let y(m) = m**2 - 10*m + 2. Let v be y(0). Determine n, given that n**3 + 0 + 1/3*n - 4/3*n**v = 0.
0, 1/3, 1
Let c(r) be the second derivative of -r**6/45 - r**5/30 + 558*r. Solve c(z) = 0 for z.
-1, 0
Let h(l) be the first derivative of 1/5*l**5 - 1/3*l**3 + 0*l + 0*l**2 + 6 + 0*l**4. Factor h(r).
r**2*(r - 1)*(r + 1)
Factor -5/2*j**3 + 0 - 20*j**2 - 35/2*j.
-5*j*(j + 1)*(j + 7)/2
Suppose -2*u = -2*f + 14, -16 = -0*u + 4*u. Determine t, given that t**f - t**2 + 1/3*t + 0 - 1/3*t**4 = 0.
0, 1
Let g(q) = -5*q**5 - 14*q**4 - 9*q**3 - 4. Let x(y) = -15*y**5 - 41*y**4 - 26*y**3 - 11. Let v(r) = 11*g(r) - 4*x(r). Solve v(z) = 0 for z.
-1, 0
Let m be ((-140)/630)/((8/9)/(-2)). Factor -1/4*t**3 + 1/4*t**4 + 0 - m*t**2 + 0*t.
t**2*(t - 2)*(t + 1)/4
Let j(o) be the first derivative of -2 + 5/6*o**2 - 1/9*o**3 - 4/3*o. Solve j(p) = 0 for p.
1, 4
Let 9/2*n**2 + 303 + 915/2*n = 0. Calculate n.
-101, -2/3
Solve 12*z**3 - 5 - 26*z**2 - 2*z**4 + 24*z - 3 - 4 + 4 = 0 for z.
1, 2
Suppose -44*s**2 + 8*s**2 + 37*s**2 - 48*s + 576 = 0. Calculate s.
24
Factor 0 + 28/11*g - 2/11*g**2.
-2*g*(g - 14)/11
Factor 1/8*j**3 - 5/8*j - 1/4*j**2 + 3/4.
(j - 3)*(j - 1)*(j + 2)/8
Let i(k) be the third derivative of 1/48*k**5 + 1/480*k**6 + 0 - 2*k**3 - 25*k**2 + 0*k - 1/12*k**4. Let i(v) = 0. Calculate v.
-4, 3
Let d be ((-1)/5)/(116/435)*96/(-54). Factor -2/15*b**2 - 6/5 - d*b.
-2*(b + 1)*(b + 9)/15
Let o(s) be the third derivative of -s**6/60 + 7*s**5/15 - 11*s**4/12 - 26*s**3/3 - 708*s**2. Determine z so that o(z) = 0.
-1, 2, 13
Let f(r) be the first derivative of r**4/6 - 4*r**3/3 - 4*r - 12. Let w(v) be the first derivative of f(v). Factor w(h).
2*h*(h - 4)
Let g(u) be the second derivative of u**9/105840 - u**8/5880 + u**7/980 - 9*u**5/280 - u**4/12 - 6*u. Let t(c) be the third derivative of g(c). Factor t(q).
(q - 3)**3*(q + 1)/7
Let y = 8 - 4. Let p(a) = -a**4 + 2*a**4 + 3*a**y - 3*a**4 + a**2. Let c(d) = -3*d**3 - 6*d**2 + 3*d. Let n(g) = c(g) + 3*p(g). Factor n(z).
3*z*(z - 1)**2*(z + 1)
Solve -62/3 + 2/9*a**2 + 184/9*a = 0 for a.
-93, 1
Let i = -703/3 + 704/3. Let -3 - i*y**2 + 2*y = 0. What is y?
3
Let z(m) = -9*m**3 - 11*m**2 - 5*m - 3. Let i(d) = -4*d**3 - 5*d**2 - 2*d - 1. Let k(x) = 7*i(x) - 3*z(x). Factor k(p).
-(p - 1)*(p + 1)*(p + 2)
Suppose -4*j = -3*f - 12, 12 = 11*j - 7*j - 4*f. Suppose 0 = w - j*t, -6*w + t = -2*w. What is u in -8/7*u + 4/7*u**2 - 12/7*u**4 + w + 16/7*u**3 = 0?
-2/3, 0, 1
Let d be (-36)/3 - (-2 - 3). Let p(a) = 4*a**2 + 11*a - 24. Let u(s) = 2*s**2 + 6*s - 12. Let z(c) = d*u(c) + 4*p(c). Factor z(f).
2*(f - 2)*(f + 3)
Let s be ((-3)/(-6)*0)/1. Let o(u) be the first derivative of u**3 + 2 + 1 + 1 - 3*u + s*u. Factor o(x).
3*(x - 1)*(x + 1)
Let x(y) be the first derivative of -2*y**6/3 - 24*y**5/5 - 5*y**4 + 80*y**3/3 + 72*y**2 + 64*y - 742. Determine b, given that x(b) = 0.
-4, -2, -1, 2
Factor -t**3 - 7*t**2 - 2*t**2 - 21921*t + t**2 + 21904*t - 10.
-(t + 1)*(t + 2)*(t + 5)
Find s, given that 8*s + 72/13 - 6/13*s**2 = 0.
-2/3, 18
Determine u so that -4/7*u**3 - 66/7 + 68/7*u + 130/7*u**2 = 0.
-1, 1/2, 33
Suppose -59*n - 5 = -54*n. Let z be n/5 - 10/(-5). Factor -z*h**2 - 36/5*h + 3*h**3 - 12/5.
3*(h - 2)*(h + 1)*(5*h + 2)/5
Factor -70/9*k**2 + 44/9*k - 2/3.
-2*(5*k - 1)*(7*k - 3)/9
Suppose 0 = -0*g - 2*g + 28. Suppose 4*t = g + 6. Suppose -6*r**3 + 70*r**4 - 8 - 18*r**4 - 74*r**2 + 30*r**4 + 48*r - 42*r**t = 0. Calculate r.
-1, 2/7, 2/3, 1
Find y such that -5 + 14*y - 5*y + 60*y**2 + 639*y**3 - 702*y**3 - 1 = 0.
-1/3, 2/7, 1
Let h(m) be the first derivative of 5*m**3/18 - 25*m**2/4 + 35*m/3 + 578. Suppose h(u) = 0. What is u?
1, 14
Factor -10*b**2 + 74*b + 21*b + 15*b**2.
5*b*(b + 19)
Let w(j) = -12*j**3 + 8*j**2 + 59*j + 1. Let k(s) = 4*s**3 - 3*s**2 - 20*s. Let z(b) = 11*k(b) + 4*w(b). Factor z(y).
-(y - 2)*(y + 2)*(4*y + 1)
Let s be 6/8 - (-59)/(-84). Let z(w) be the second derivative of -s*w**7 + 0*w**4 - 1/3*w**3 + 3*w + 0 + 1/5*w**5 + 0*w**2 + 0*w**6. Factor z(u).
-2*u*(u - 1)**2*(u + 1)**2
Factor 0 + 6*w**2 + 18/5*w**3 - 10*w + 2/5*w**4.
2*w*(w - 1)*(w + 5)**2/5
Let c(d) be the second derivative of -d**9/75600 + d**7/4200 + d**6/1800 + d**4 - 12*d. Let g(k) be the third derivative of c(k). Factor g(p).
-p*(p - 2)*(p + 1)**2/5
Let p = -1241 - -1245. Let u(l) be the second derivative of 0 + 2/3*l**3 - 1/5*l**5 + 0*l**2 - 8*l - 2/15*l**6 + 1/3*l**p. Factor u(y).
-4*y*(y - 1)*(y + 1)**2
Let q(p) = -40*p**2 - 55*p - 25. Let c(l) be the third derivative of -l**5/12 - 7*l**4/24 - l**3/2 + 26*l**2. Let u(m) = -25*