 of v**5 + 5*v**4/4 - 5*v**3/3 - 5*v**2/2 - 22. What is p in c(p) = 0?
-1, 0, 1
Let h(l) be the second derivative of l**7/189 + l**6/45 + l**5/30 + l**4/54 + 2*l. Let h(q) = 0. Calculate q.
-1, 0
Determine t, given that 6/5*t**2 - 27/5 - 12/5*t**3 + 36/5*t - 3/5*t**4 = 0.
-3, 1
Let h = 21 + -19. Let p = 2121/13 - 163. Factor 8/13*a**h + 0 + 8/13*a**3 + p*a.
2*a*(2*a + 1)**2/13
Let q(w) = -5*w + 67. Let u be q(13). Determine o so that -2/3*o + 0 + 2/3*o**u = 0.
0, 1
Let k(x) be the first derivative of -x**7/840 - x**6/120 - x**5/40 - x**4/24 + 2*x**3/3 + 1. Let t(y) be the third derivative of k(y). Factor t(g).
-(g + 1)**3
Let t(w) = 2*w**3 - 33*w**2 - 18*w + 19. Let g be t(17). Factor -8*u**4 + 5*u - 33/2*u**g + 20*u**3 - 1/2.
-(u - 1)**2*(4*u - 1)**2/2
Solve 1/7*h**2 - 8/7*h + 16/7 = 0.
4
Let f(z) be the third derivative of z**7/1260 - 7*z**6/720 + 17*z**5/360 - 17*z**4/144 + z**3/6 - 44*z**2. Factor f(q).
(q - 3)*(q - 2)*(q - 1)**2/6
Factor u + 3*u - 3*u**3 - 4*u - 3*u**2.
-3*u**2*(u + 1)
Suppose -2*u - 8 = -5*b, -2*b = -3*b - 5*u + 7. Factor -6*z**3 + b*z**2 + 7*z**2 + 2*z**4 - 5*z**2.
2*z**2*(z - 2)*(z - 1)
Solve 0*l - 2/5*l**4 + 0 + 0*l**2 + 4/15*l**3 + 2/15*l**5 = 0.
0, 1, 2
Suppose -8/11*k + 10/11 - 2/11*k**2 = 0. Calculate k.
-5, 1
Let w be (16/(-1))/(1 - 3). Solve r**4 + 3*r**2 + r**5 - 2*r - 4*r**4 - 3*r**3 + 4*r**4 - w*r**2 = 0.
-1, 0, 2
Let h be (-15)/(-10)*16/12. What is a in 0*a - 1/3*a**h + 0 = 0?
0
Let q(n) = 3*n - 1 + n**2 + n - 4. Let y(h) = -h**2 - 3*h + 4. Let x(w) = 4*q(w) + 5*y(w). Factor x(d).
-d*(d - 1)
Let t(k) be the second derivative of k**7/1260 + k**6/90 + k**5/15 - k**4/4 - 3*k. Let a(d) be the third derivative of t(d). Factor a(y).
2*(y + 2)**2
Let i(s) be the third derivative of -s**8/84 - 4*s**7/35 - 13*s**6/30 - 4*s**5/5 - 2*s**4/3 - 29*s**2. Factor i(m).
-4*m*(m + 1)**2*(m + 2)**2
Let f(r) be the second derivative of -7/30*r**4 + 2/15*r**3 + 0*r**2 + 4/105*r**7 + 0 + 7/75*r**6 - r - 3/25*r**5. Find k such that f(k) = 0.
-2, -1, 0, 1/4, 1
Let m(x) = -x**2 + 3*x + 3. Let s be m(3). Factor -4*z**2 - 6*z**3 + 2*z**2 + 2*z**3 - 2*z**s.
-2*z**2*(3*z + 1)
Let c(b) = b**2 - b + 1. Let p(t) = 6*t**2 + 2*t + 8. Let f(u) = 4*c(u) - p(u). Factor f(w).
-2*(w + 1)*(w + 2)
Let b(q) = q**3 + q**2 - q + 4. Let o be b(0). Factor 0*s**2 - s**o - 5*s**2 - s**3 + 5*s**2.
-s**3*(s + 1)
Factor 0 + 6/7*j**2 - 4/7*j - 2/7*j**3.
-2*j*(j - 2)*(j - 1)/7
Let f(h) be the first derivative of 1/20*h**4 + 0*h**3 + 2/5*h - 3/10*h**2 + 1. Factor f(t).
(t - 1)**2*(t + 2)/5
Let x(d) be the first derivative of d**4/6 + d**3/3 - 2*d + 2. Let s(r) be the first derivative of x(r). Factor s(n).
2*n*(n + 1)
Factor -4*u**2 - 2*u - 41 + 42 + 5*u**2.
(u - 1)**2
Let n(u) = 2*u**3 - 2*u**2 - 2*u - 2. Let b(d) = d**4 - d**3 + 3*d**2 + 3*d + 3. Let p = -6 - -3. Let o(s) = p*n(s) - 2*b(s). Suppose o(r) = 0. What is r?
-2, 0
Let p(w) = w**5 + w**4 + w**3. Let s(g) = -9*g**5 + 16*g**4 - 24*g**3 - 10*g**2 + 25*g - 10. Let h(t) = 4*p(t) + s(t). What is b in h(b) = 0?
-1, 1, 2
Let n = 6 - 8. Let v be (-1)/n - (-1)/(-3). Factor 0 - v*u - 2/3*u**2 - u**3 - 1/6*u**5 - 2/3*u**4.
-u*(u + 1)**4/6
Suppose -18*m + 6*m = -24. Determine a so that -1 - 4/3*a - 1/3*a**m = 0.
-3, -1
Let 2/3*n**2 - 4/9*n - 2/9*n**3 + 0 = 0. Calculate n.
0, 1, 2
Let n(v) be the second derivative of -2*v**7/147 - 8*v**6/105 - v**5/7 - 2*v**4/21 - 13*v. Let n(w) = 0. Calculate w.
-2, -1, 0
Let u(r) = -7*r**2 + 3*r - 2. Let d(x) = 20*x**2 - 8*x + 6. Let a(p) = -6*d(p) - 17*u(p). What is h in a(h) = 0?
-2, -1
Let w(y) be the second derivative of -y**6/210 + y**5/30 - y**4/12 + 2*y**3/21 + y**2 - 5*y. Let i(p) be the first derivative of w(p). Factor i(f).
-2*(f - 2)*(f - 1)*(2*f - 1)/7
Let q(s) be the first derivative of -7/9*s**3 + 5/6*s**2 + 2/3*s + 2. Suppose q(f) = 0. What is f?
-2/7, 1
Let o(x) = -5*x**2 + 7*x - 6. Let w(k) = 10*k**2 - 14*k + 13. Let j(z) = 9*o(z) + 4*w(z). Let j(p) = 0. What is p?
2/5, 1
Let c(z) be the third derivative of z**5/40 + 2*z**4 + 64*z**3 + 3*z**2 + 3. Find f such that c(f) = 0.
-16
Let p(r) be the first derivative of -2*r**3/5 - 4*r**2/5 - 15. Factor p(n).
-2*n*(3*n + 4)/5
Let c(f) be the second derivative of -f**4/48 + f**3/8 - 12*f. Factor c(y).
-y*(y - 3)/4
Let s(r) be the second derivative of -r**7/280 + r**5/40 - r**3/6 + 3*r. Let l(g) be the second derivative of s(g). Let l(x) = 0. Calculate x.
-1, 0, 1
Let h be ((-20)/15)/((-4)/6). Let j = 6 - 2. Suppose j - 2*a**h - 4 + 2*a**3 - 2*a + 2*a**4 = 0. What is a?
-1, 0, 1
Let b(c) be the first derivative of 1 - 2*c**2 - 25/12*c**3 - 19/16*c**4 - 1/24*c**6 - c - 7/20*c**5. Solve b(d) = 0 for d.
-2, -1
Let z = 0 - 3. Let h = z - -7. Let -1/2*a**h + a + 1/2 - a**3 + 0*a**2 = 0. Calculate a.
-1, 1
Suppose -6 + 18 = 4*r. Suppose 1 - 3*t**4 + 12*t**5 + 0*t**2 + 6*t**2 - 18*t**r - 4 - 6*t**3 + 12*t = 0. Calculate t.
-1, 1/4, 1
Let m(z) = 5*z**2 - 3*z - 3. Let l be m(3). Factor 8 - 9 + 7 + 21*i**3 + 48*i**2 + l*i.
3*(i + 1)**2*(7*i + 2)
Let v(p) = p**2 - 7*p - 13. Let c be v(9). Suppose c*f = -0*f. What is h in -4*h**2 + f + 5*h + 0 - 1 = 0?
1/4, 1
Let w(c) be the first derivative of -c**4/18 + 2*c**3/9 - c**2/3 + 2*c/9 + 2. Factor w(n).
-2*(n - 1)**3/9
What is q in 0*q + 3/2*q**4 - 6*q**2 - 6*q**3 + 3/2*q**5 + 0 = 0?
-2, -1, 0, 2
Let t(a) = a**2 - 7*a + 8. Let o be t(6). Suppose n + o*n = 0. Determine s, given that n + 1/2*s**2 - 1/2*s = 0.
0, 1
Let u(d) = 5*d**3 + 27*d**2 - 2. Let r(i) = 85*i**3 + 460*i**2 - 35. Let a(o) = -2*r(o) + 35*u(o). Determine v so that a(v) = 0.
-5, 0
Let r(b) be the second derivative of 3*b**5/25 - 11*b**4/12 + 29*b**3/30 - 2*b**2/5 - 15*b. Factor r(i).
(i - 4)*(3*i - 1)*(4*i - 1)/5
Let a be 8 - 7 - (-2 - 1). Let j(u) be the first derivative of -2 + 0*u**2 + 0*u - 1/12*u**a - 1/9*u**3. Find s such that j(s) = 0.
-1, 0
Factor -7*u + 442 - 9*u - 458 + 20*u**2 + 12*u**3.
4*(u - 1)*(u + 2)*(3*u + 2)
Let i(y) = -3*y**5 + 21*y - 15*y**4 - y**4 - 8*y**4 + 24*y**2. Let h(j) = j**4 - j**2 - j. Let s(z) = 18*h(z) + i(z). Determine n so that s(n) = 0.
-1, 0, 1
Let l be ((-6)/9)/(6/74). Let t = 536/63 + l. Factor 4/7*b**3 - 2/7*b**5 + 2/7 + 2/7*b**4 - t*b - 4/7*b**2.
-2*(b - 1)**3*(b + 1)**2/7
Suppose 4*c - 4 = j, -3*j - 12 = -4*c - 4*j. Let -2/7*q + 0 - 2/7*q**c = 0. Calculate q.
-1, 0
Let i(r) = -r - 9. Let w be i(-12). Let 2*q**w - 3*q**2 + 0*q**2 - 2*q + 2*q**2 + q**4 = 0. Calculate q.
-2, -1, 0, 1
Let v be (-6)/(((-704)/(-20))/4). Let r = -61/154 - v. Suppose 0 + r*j**5 + 0*j + 2/7*j**3 + 0*j**2 - 4/7*j**4 = 0. What is j?
0, 1
Let k(i) be the third derivative of -i**7/5040 - i**6/1080 + i**5/720 + i**4/72 + 2*i**3/3 + 3*i**2. Let a(n) be the first derivative of k(n). Factor a(l).
-(l - 1)*(l + 1)*(l + 2)/6
Factor 2 + 0*u**3 + 3*u - u**3 - 4*u**2 + u**5 + 2*u**2 - 3*u**3.
(u - 2)*(u - 1)*(u + 1)**3
Let r be -1*(-7 + 1) + -1. Let c**2 + 8*c**3 - r*c**3 - c**2 = 0. Calculate c.
0
Let v(g) = 4*g**3 + 4*g**2 - 2. Let r(f) = 21*f**3 + 21*f**2 + f - 10. Let u = 1 + -2. Let h be u/(-2 + (-69)/(-33)). Let t(y) = h*v(y) + 2*r(y). Factor t(x).
-2*(x - 1)*(x + 1)**2
Determine t, given that 12/7*t + 0*t**2 - 8/7 - 4/7*t**3 = 0.
-2, 1
Let a be (4 - 2)*111/(-27). Let c = 26/3 + a. Factor c - 2/9*d**2 - 2/9*d.
-2*(d - 1)*(d + 2)/9
Let u(x) be the second derivative of -x**4/6 + 4*x**2 + 14*x. Factor u(g).
-2*(g - 2)*(g + 2)
Let o(w) = 4*w**2 - 20*w - 22. Let t(m) = -4*m**2 + 20*m + 21. Let x(s) = 3*o(s) + 2*t(s). Factor x(j).
4*(j - 6)*(j + 1)
Let i(r) be the second derivative of -10/3*r**3 - r - 1/5*r**5 + 4*r**2 + 0 + 4/3*r**4. Solve i(a) = 0.
1, 2
Factor 4/7*y**2 + 0 + 0*y.
4*y**2/7
Let t(q) be the third derivative of 3*q**6/100 - 17*q**5/75 + 7*q**4/15 + 8*q**3/15 + 4*q**2. Factor t(i).
2*(i - 2)**2*(9*i + 2)/5
Let z(p) be the second derivative of -3*p**5/40 - 5*p**4/8 - 2*p**3 - 3*p**2 - 8*p. Factor z(i).
-3*(i + 1)*(i + 2)**2/2
Factor 0*q**5 + q**5 + 3*q**3 + 2*q**4 - 2*q**3.
q**3*(q + 1)**2
Let v(k) = -2*k - 8. Let l be v(-4). Suppose -3*r = -r. Factor l*f + r + 4/5*f**3 + 2/5*f**2 + 2/5*f**4.
2*f**2*(f + 1)**2/5
Let n(b) be the second derivative of b**4/18 - 8*b**3/9 + 16*b**2/3 + 4*b. Factor n(s).
2*(s - 4)**2/3
Let s = -7/13 - -173/273. Let a(z) be the second derivative of -6/35*z**5 + s*z**3 + 1/15*z*