irst derivative of 5*f**6/6 + f**5 - 5*f**4/2 - 10*f**3/3 + 5*f**2/2 + 5*f - 23. Factor d(u).
5*(u - 1)**2*(u + 1)**3
Solve -4/5*a**2 + 0 + 8/5*a = 0.
0, 2
Let p = -86 - -86. Let v(z) be the first derivative of 2/15*z**5 + 0*z**2 + 1/6*z**4 - 3 + p*z + 1/27*z**6 + 2/27*z**3. Suppose v(b) = 0. What is b?
-1, 0
Let d be ((-14)/(-21))/((-1)/3). Let k = 6 + d. Let 0*s + 0*s**3 + 0*s**2 - 2/9*s**k + 0 + 2/9*s**5 = 0. What is s?
0, 1
Let o(k) = 7*k**2 + 2*k - 1. Let g be o(1). Let y be ((-3)/7)/((-12)/g). Factor 0 + y*p**3 + 2/7*p**4 - 2/7*p**2 - 2/7*p.
2*p*(p - 1)*(p + 1)**2/7
Let c(m) be the first derivative of 4*m**5/5 + m**4 - 4*m**3/3 - 2*m**2 + 29. Find g such that c(g) = 0.
-1, 0, 1
Let a(d) be the second derivative of -d**6/10 + 3*d**5/10 - d**4/4 - 15*d. Let a(s) = 0. What is s?
0, 1
Let t = -1/16 + 37/80. Let j(k) = k**2 + 5*k - 2. Let f be j(-6). Factor 4*w**2 - 2/5*w**5 + 8/5*w - 8/5*w**f - t*w**3 - 16/5.
-2*(w - 1)**2*(w + 2)**3/5
Let g = 1 + 1. Suppose -5*j - 2*t - 2 = -4*t, -5 = g*j - 5*t. Factor j - 1/4*f - 1/4*f**2.
-f*(f + 1)/4
Let d(p) be the first derivative of -3*p**7/560 - p**6/80 - p**5/120 - 2*p**3 - 3. Let o(z) be the third derivative of d(z). Let o(b) = 0. Calculate b.
-2/3, -1/3, 0
Let i(s) = -s**2 + 7*s - 5. Let c be i(5). Suppose -c*w = -4*k + 25, -k - 2*k - 10 = 2*w. Determine h so that k*h**3 - 2/3*h**4 + 0*h + 4/3*h**2 - 2/3 = 0.
-1, 1
Find o such that 4/5*o**2 + 14/5*o**3 - 2*o**4 - 8/5*o**5 + 0*o + 0 = 0.
-2, -1/4, 0, 1
Let f(v) = -8*v**2 - 56*v. Let u(j) = -3*j**2 - 19*j. Let i(s) = 5*f(s) - 14*u(s). Determine q so that i(q) = 0.
0, 7
Let s(m) be the third derivative of m**7/42 + m**6/12 - m**5/12 - 5*m**4/12 - 2*m**2. Suppose s(z) = 0. What is z?
-2, -1, 0, 1
Let y be (-6)/(-21) + (-10)/35. Let n(h) be the third derivative of 4*h**2 + 1/160*h**6 + 0 + 1/240*h**5 + 0*h**4 + y*h + 0*h**3. Factor n(i).
i**2*(3*i + 1)/4
Suppose 14/9*q**4 - 2/3*q**2 - 2/3*q**5 + 4/9*q + 0 - 2/3*q**3 = 0. Calculate q.
-2/3, 0, 1
Suppose 0 = 8*h - 5*h. Let v(j) be the third derivative of h*j + 0*j**3 - 1/90*j**5 + 0 - 1/36*j**4 + 2*j**2. Factor v(p).
-2*p*(p + 1)/3
Let n(x) be the second derivative of x**5/80 + x**4/16 - 3*x**3/8 + 5*x**2/8 - 18*x. Determine m, given that n(m) = 0.
-5, 1
Let z(k) = 7*k + 79. Let s be z(-11). Find c, given that -1/6*c**s + 1/3*c + 1/6*c**5 - 1/2*c**3 + 1/6*c**4 + 0 = 0.
-2, -1, 0, 1
Suppose 0*i + 2*i - 12 = 0. Suppose k + i = 4*k. Let -2*r**4 + r + 0*r + 2*r**k - r**5 + r**2 - r**2 = 0. Calculate r.
-1, 0, 1
Let h(x) be the first derivative of x**4/2 + 4*x**3/3 - 22. Factor h(v).
2*v**2*(v + 2)
Let j = -30 + 42. Let v(u) = u**3 + 11*u**2 + 9*u - 8. Let n be v(-10). Factor 9*w**5 + j*w**4 + 2*w - 4*w**2 - n*w**3 - w + 0*w.
w*(w + 1)**2*(3*w - 1)**2
Let a(n) be the second derivative of n**5/20 - n**4/4 + n**3/3 - 39*n. Suppose a(g) = 0. Calculate g.
0, 1, 2
Let q(o) be the first derivative of o**4/8 + o**3/3 + o**2/4 - 3. Determine n so that q(n) = 0.
-1, 0
Let p = 28/9 - 439/144. Let w(b) be the first derivative of -1/4*b**3 - 1/4*b - 3/8*b**2 - p*b**4 - 2. Factor w(q).
-(q + 1)**3/4
Let f = 31/14 - 15/14. Factor f*u**2 + 4/7 - 2/7*u**3 - 10/7*u.
-2*(u - 2)*(u - 1)**2/7
Let s = -5 + 10. Suppose 0 = s*y - 0*y - 15. Solve 0*r**2 + 6*r**3 + 2*r**2 - 7*r**y = 0 for r.
0, 2
Factor 21*u - 12*u - 7*u + 2*u**2 - 2*u**4 - 2*u**3.
-2*u*(u - 1)*(u + 1)**2
Let z(j) be the third derivative of j**7/42 - 5*j**6/24 + 3*j**5/4 - 35*j**4/24 + 5*j**3/3 + 6*j**2. Determine p so that z(p) = 0.
1, 2
Suppose 0 = -2*d - 4*b + 2*b + 18, -3*b = -3*d + 3. Let -50/9*o**d - 32/9*o + 10/9*o**4 + 82/9*o**3 - 2/9*o**2 - 8/9 = 0. Calculate o.
-1, -2/5, 1
Factor -3 + 21/2*f + 6*f**2.
3*(f + 2)*(4*f - 1)/2
Let i be (0 + 7)*(-84)/(-49). Find d such that 8*d**3 + 13*d - i*d**2 - 5*d - 3*d**4 + d**4 - 2 = 0.
1
Suppose 2/5 + 2/5*p - 1/10*p**2 - 1/10*p**3 = 0. Calculate p.
-2, -1, 2
Let w(l) be the first derivative of -l**3 + 36*l**2 - 432*l + 5. Determine t so that w(t) = 0.
12
Let q(n) be the first derivative of -1/120*n**5 + 1/1080*n**6 + 1/36*n**4 + 2/3*n**3 - 2 + 0*n + 0*n**2. Let l(k) be the third derivative of q(k). Factor l(c).
(c - 2)*(c - 1)/3
Let z(l) = l**3 - l - 3. Let p be 24/(-40) - 7/5. Let i(o) = -2. Let w(y) = p*z(y) + 3*i(y). Suppose w(h) = 0. Calculate h.
-1, 0, 1
Let r(b) = -b**2 - 7*b - 4. Let x be r(-6). Let a = -5/146 + 39/73. Factor 3/2*m**x - 3/2*m + 1/2 - a*m**3.
-(m - 1)**3/2
Let u be 3/(-2)*6/(-9). Suppose -3*p + 17 = 4*l, u = -8*l + 4*l + 3*p. Factor 4*m**2 - l - 2*m + 2.
2*m*(2*m - 1)
Let c(s) be the second derivative of -2*s + 0 - 1/70*s**5 + 3/7*s**2 + 1/42*s**4 + 5/21*s**3. Determine u so that c(u) = 0.
-1, 3
Let y(c) be the third derivative of 7/60*c**4 + 0*c - 2/15*c**3 + 1/75*c**5 + 0 - c**2 - 7/300*c**6. Factor y(l).
-2*(l - 1)*(l + 1)*(7*l - 2)/5
Suppose -19 = -8*v - 3. Determine g, given that 2*g + 3*g**2 + 1/2*g**4 + v*g**3 + 1/2 = 0.
-1
Let p(x) be the third derivative of x**6/200 - x**5/100 - x**4/40 + x**3/10 - 6*x**2. Factor p(u).
3*(u - 1)**2*(u + 1)/5
Suppose 1 = -x + o, -3*o + 8*o = 4*x + 9. Solve 19*q**3 - 3*q**2 - 3*q**x - 11*q**3 - 9*q + 6 + q**3 = 0 for q.
-1, 1, 2
Let r(z) be the second derivative of -9*z**5/50 + 11*z**4/30 - 2*z**3/15 - 4*z. Suppose r(q) = 0. Calculate q.
0, 2/9, 1
Let p(x) = x**2 - 28*x - 51. Let i(u) = 12*u**2 - 308*u - 562. Let m(f) = 6*i(f) - 68*p(f). Factor m(q).
4*(q + 2)*(q + 12)
Suppose -m - 75 = -3*d - 3*m, 3*m = 0. Let y = 30 - d. Find s, given that -2/3*s**y + 0 + 8/3*s**2 - 4*s**3 - 2/3*s + 8/3*s**4 = 0.
0, 1
Let i = 29 + -26. Factor 4/3*f**2 - 7/6*f - 1/2*f**i + 1/3.
-(f - 1)**2*(3*f - 2)/6
Factor -6/13 - 8/13*x - 2/13*x**2.
-2*(x + 1)*(x + 3)/13
Suppose -m - 4*k + 18 = -8*k, -k - 14 = -5*m. Suppose a = -2*a - 3*i - 9, -6 = m*i. Let 0*v - 2/5*v**2 + 2/5*v**4 + a*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let b(l) be the third derivative of 0*l - 1/25*l**5 + 0 - 1/300*l**6 + 3*l**2 - 8/15*l**3 - 1/5*l**4. Suppose b(y) = 0. What is y?
-2
Let k = 163/76 + -36/19. Let t(b) be the first derivative of 1/2*b**3 - k*b**2 + 4 + 0*b. Determine o, given that t(o) = 0.
0, 1/3
Let k = 2/1283 - -10250/8981. Let c = -2 - -4. What is h in 8/7*h**c + 2/7 + k*h = 0?
-1/2
Factor 0*d**3 + 0 + 3/8*d**2 + 0*d - 3/8*d**4.
-3*d**2*(d - 1)*(d + 1)/8
Suppose -3*k = 5*k - k. Let j(p) be the third derivative of 1/10*p**5 + 0 + k*p**3 - 3*p**2 - 1/12*p**4 + 1/105*p**7 + 0*p - 1/20*p**6. What is d in j(d) = 0?
0, 1
Let k be (6/9 - 1)*0. Let -8/3*f + k + 8/3*f**2 - 2/3*f**3 = 0. What is f?
0, 2
Suppose 4*a - 20 = -2*p, -2*p = -4*a - 0*a + 4. Factor 4*m**p - 2*m - 7*m**2 + 27*m**2 - 6*m + 0*m - 16*m**3.
4*m*(m - 2)*(m - 1)**2
Let c(d) be the second derivative of d**8/3360 - d**7/1260 - d**6/360 + d**5/60 + d**4/6 - 4*d. Let k(u) be the third derivative of c(u). Solve k(q) = 0.
-1, 1
Find r such that -11/4*r + 3/4 - r**2 = 0.
-3, 1/4
Let o(l) be the third derivative of -l**7/280 + l**6/80 - l**5/80 - 10*l**2. Suppose o(f) = 0. What is f?
0, 1
Suppose -9 - 31 = -4*p. Suppose 0 = 4*s - 2 - p. Determine j, given that 10*j**2 - 8*j**3 + 5*j**4 + 1 + 5*j + j**5 + 9*j**3 + 9*j**s = 0.
-1
Let h(l) = 2*l**4 + 4*l**3 + 4*l**2 - 8*l - 2. Let r(p) = p**2 - p. Let z(k) = k. Let i be z(1). Let o(f) = i*h(f) - 4*r(f). Let o(b) = 0. Calculate b.
-1, 1
Let h(q) = -q - 7. Let i be h(-10). Determine v so that -i*v**4 - 4*v**3 + v**2 + 0*v**4 + 4*v**4 + 2*v**3 = 0.
0, 1
Let q(d) be the third derivative of d**8/10080 + d**7/2520 - d**5/60 - d**2. Let r(g) be the third derivative of q(g). What is h in r(h) = 0?
-1, 0
Let x(o) = o**4 - 4*o**3 - 2*o. Let f(l) = -2*l**4 + 5*l**3 + 3*l. Suppose 5*d - 2*d - 6 = 0. Suppose 2*h + d = 6. Let n(r) = h*f(r) + 3*x(r). Factor n(g).
-g**3*(g + 2)
Let a(p) be the first derivative of -p**3/21 + 4*p**2/7 - 16*p/7 - 2. Factor a(q).
-(q - 4)**2/7
Let b = -25 + 27. Factor 1/2*h + 0 + 1/4*h**b.
h*(h + 2)/4
Let w(l) = l. Let i(f) = -4*f**2 + 8*f + 24. Let y(j) = i(j) - 4*w(j). Determine c, given that y(c) = 0.
-2, 3
Let b = 5469/5 + -1092. Solve 3/5 + 6/5*s**2 + b*s = 0.
-1, -1/2
Let n(l) be the first derivative of -1/2*l**2 + l - 5 - 1/3*l**3 + 1/4*l**4. Solve n(r) = 0 for r.
-1, 1
Let p(w) be the first derivative of -1/5*w**2 + 1/25*w**5 + 1/10*w**4 + 10 - 1/5*w + 0*w**3. Determine q, g