+ 235/2*c**3 - 175/2*c**4 - u*c**2 - 2 + 20*c.
(c - 1)**3*(7*c - 2)**2/2
Let m(i) = i**4 + i**3 - 9*i**2 - i - 4. Let u(d) = -2*d**4 - 2*d**3 + 17*d**2 + 2*d + 7. Let z(k) = -11*m(k) - 6*u(k). Suppose z(h) = 0. What is h?
-2, -1, 1
Let f = -4 - -6. Determine a, given that 0*a + 4*a**f - 2*a**5 + 4*a**5 + 0*a - 6*a**3 = 0.
-2, 0, 1
Suppose -2*k = -0 - 8. Let q(g) be the second derivative of -2/5*g**2 - 1/30*g**k + 2*g + 0 + 1/5*g**3. Factor q(j).
-2*(j - 2)*(j - 1)/5
Let b(s) be the third derivative of -s**8/168 + s**6/60 + 7*s**2. Let b(r) = 0. Calculate r.
-1, 0, 1
Factor -4/3*w - 2*w**3 - 2/3*w**4 + 10/3*w**2 + 2/3*w**5 + 0.
2*w*(w - 1)**3*(w + 2)/3
Let n(t) be the third derivative of -1/1176*t**8 - 2/21*t**4 + 4/21*t**3 + 1/84*t**6 + 0*t + 0 - 1/735*t**7 + 10*t**2 + 1/210*t**5. Factor n(s).
-2*(s - 1)**3*(s + 2)**2/7
Let j(g) be the third derivative of -g**5/50 - g**4/30 + g**3/15 - 9*g**2. Find z, given that j(z) = 0.
-1, 1/3
Let i(r) = -5*r**2 - 5*r + 25. Let l(o) = 5*o**2 + 5*o - 26. Let g(d) = 4*i(d) + 5*l(d). Determine c so that g(c) = 0.
-3, 2
Determine c so that 18/5*c + 12/5*c**2 + 0 + 2/5*c**3 = 0.
-3, 0
Let n(q) be the first derivative of -27/2*q**2 - 16*q**3 - 18/5*q**5 - 1/2*q**6 - 6 - 21/2*q**4 - 6*q. Suppose n(j) = 0. What is j?
-2, -1
Let v be 4/(-14)*-22 + (-47 - -42). Factor -6/7 - v*l + 3/7*l**3 + 0*l**2.
3*(l - 2)*(l + 1)**2/7
Let o = -46739/60 + 779. Let f(u) be the third derivative of 1/48*u**4 + 0*u**3 + 1/240*u**6 + 0 + o*u**5 + u**2 + 0*u. Factor f(z).
z*(z + 1)**2/2
Let v(w) be the second derivative of -w**7/1260 + w**6/90 - w**5/20 + w**4/6 - 5*w. Let h(d) be the third derivative of v(d). Factor h(y).
-2*(y - 3)*(y - 1)
Let j(u) be the first derivative of 2/3*u**3 + 1/2*u**4 + 0*u**2 + 0*u - 1. Find g such that j(g) = 0.
-1, 0
Suppose -2*z - 3*z - 4*m = -7, -4*m + 1 = 3*z. Let g(v) be the first derivative of -v**2 - 1/3*v**z - v - 3. Factor g(j).
-(j + 1)**2
Let s be (14 - 16)/(2/(-4)). Determine v so that 46 + 16*v**3 - 32*v**2 - 2*v**5 + 18 - 32*v + 0*v**5 + 4*v**s = 0.
-2, 2
Let a(m) be the third derivative of 5*m**8/168 + m**7/35 - m**6/5 + 2*m**5/15 + 14*m**2. Determine v, given that a(v) = 0.
-2, 0, 2/5, 1
Factor 1/2*c**2 + 3/4*c**3 - 3/4*c - 1/2.
(c - 1)*(c + 1)*(3*c + 2)/4
Factor -2*c**3 - 4/3*c**2 + 2*c + 4/3.
-2*(c - 1)*(c + 1)*(3*c + 2)/3
Let t = 117 + -350/3. Let f(i) be the first derivative of -t*i**3 + 1/3*i**2 - i**4 + 0*i - 7/15*i**5 + 4. Find w such that f(w) = 0.
-1, 0, 2/7
Let l(f) be the first derivative of -2*f**5/5 + f**4/2 + 4. Factor l(c).
-2*c**3*(c - 1)
Let m(p) = 0*p**2 + 16 - 11*p + p**2 - 27. Let c(k) = -2*k**2 + 32*k + 32. Let q(w) = 3*c(w) + 8*m(w). Factor q(o).
2*(o + 2)**2
Let f(b) = 6*b**5 + 8*b**4 + 2*b**3 + 4*b - 4. Let l(v) = -17*v**5 - 23*v**4 - 5*v**3 + v**2 - 11*v + 11. Let k(i) = -11*f(i) - 4*l(i). What is x in k(x) = 0?
-2, -1, 0, 1
Let u(z) be the second derivative of z**8/2240 + z**7/420 + z**6/240 - z**4/12 + 5*z. Let w(s) be the third derivative of u(s). Let w(j) = 0. What is j?
-1, 0
Let f be 10/(-8)*2 - -3. Factor 1/2*c**3 - 1/2*c**2 + 1/2*c**4 - f*c + 0.
c*(c - 1)*(c + 1)**2/2
Let k(j) = 21*j - 357. Let u be k(17). Factor 1/8*a + 1/8*a**3 + u + 1/4*a**2.
a*(a + 1)**2/8
Let m(h) = h**2 - 11*h - 9. Let l be m(12). Suppose -3 = -l*v + 3*i, 2*i = -v - 1 + 2. Factor 3/2*y + v - 1/2*y**3 + 0*y**2.
-(y - 2)*(y + 1)**2/2
Suppose 11 = -3*h + 2*a, -3*h + 2*a = -8*h + 3. Let m = h + 4. Factor 0*k + 0 + 2/5*k**m - 2/5*k**2.
2*k**2*(k - 1)/5
Let w(n) be the first derivative of -n**4/14 - 4*n**3/21 - n**2/7 - 6. Factor w(a).
-2*a*(a + 1)**2/7
Let o(s) = -s**3 + s**2 + 2*s. Let c be o(2). Suppose c*i**3 - 3*i - 3*i**3 + 6*i = 0. Calculate i.
-1, 0, 1
Let y be -15*((-102)/(-18) - 6). Find j such that 2/3*j - 2/3*j**y + 4/3*j**4 + 0 + 0*j**3 - 4/3*j**2 = 0.
-1, 0, 1
Let g(y) be the third derivative of y**5/210 - 5*y**4/42 + 25*y**3/21 + 2*y**2. Find k, given that g(k) = 0.
5
Let k be (-5)/3*(-4)/45. Let x(i) be the first derivative of -2/45*i**5 + 0*i**2 + 0*i - k*i**3 + 1/6*i**4 + 2. Factor x(w).
-2*w**2*(w - 2)*(w - 1)/9
Suppose -3*n + 8*n - 35 = 5*m, -5*m - 25 = 0. Determine v so that 0 + 4/9*v - 2/9*v**n = 0.
0, 2
Let b = -13 + 19. Let x(z) be the third derivative of -1/480*z**b + 0*z**4 + 0*z**3 + 0 + 0*z + 2*z**2 + 1/240*z**5. Find u, given that x(u) = 0.
0, 1
Let v(j) be the third derivative of j**7/21 - j**6/8 - j**5/12 + 5*j**4/8 - 5*j**3/6 - 31*j**2. Suppose v(p) = 0. What is p?
-1, 1/2, 1
Let u(l) = -l**2 - 12*l - 8. Let d be u(-11). Let -5 + y**5 - 3*y**3 + 3*y - 1 - 6*y**4 - d*y**3 + 12*y**2 + 2*y**5 = 0. Calculate y.
-1, 1, 2
Let q(f) be the third derivative of f**8/1512 - 2*f**7/945 + f**6/540 - 6*f**2. Factor q(y).
2*y**3*(y - 1)**2/9
Let j(a) = 10*a**3 - a**2 + 2*a + 2. Let g be j(4). Let n = g - 1862/3. Factor -34/3*s**2 - n*s - 8/3 - 8/3*s**3.
-2*(s + 2)**2*(4*s + 1)/3
Suppose -3*n + 8 = -w, 2*n - 39 = -5*w - 11. Determine x so that -1/3*x**5 + x**n + x - 2/3*x**2 - 2/3*x**3 - 1/3 = 0.
-1, 1
Let z(h) be the first derivative of 5*h**4/2 + 14*h**3/3 - 8*h**2 - 8*h - 40. Determine c, given that z(c) = 0.
-2, -2/5, 1
Let l(g) be the second derivative of 1/15*g**3 + 0 + 0*g**2 - 3*g + 1/30*g**4. Determine p so that l(p) = 0.
-1, 0
Let f(x) be the first derivative of x**3/4 + 3*x**2/4 + 3*x/4 + 47. Let f(g) = 0. Calculate g.
-1
Determine t so that 2/5*t**3 + 2/5 - 2/5*t**2 - 2/5*t = 0.
-1, 1
Let o = -415/12 - -141/4. Suppose 0 + 1/3*b**3 - o*b**2 + 1/3*b = 0. Calculate b.
0, 1
Let t(z) be the third derivative of -z**8/7 - 26*z**7/105 + 16*z**6/15 + 3*z**5/5 - 10*z**4/3 + 8*z**3/3 - 9*z**2. Determine j, given that t(j) = 0.
-2, -1, 1/4, 2/3, 1
Let y(c) be the first derivative of c**6/360 + c**5/120 - 2*c**3/3 - 1. Let a(n) be the third derivative of y(n). Solve a(z) = 0 for z.
-1, 0
Let p(t) = -t**3 - 9*t**2 - 5*t - 1. Let o(d) = d**2 + 1. Let b(z) = 6*o(z) + p(z). Let v(n) = n - 1. Let q(w) = -2*b(w) - 10*v(w). Suppose q(a) = 0. What is a?
-3, 0
Let h(o) be the third derivative of -o**8/1344 - o**7/280 + o**6/480 + 7*o**5/240 - o**3/6 - 6*o**2. Suppose h(a) = 0. What is a?
-2, -1, 1
Factor -6/5*m**2 + 0*m - 2/5*m**3 + 8/5.
-2*(m - 1)*(m + 2)**2/5
Suppose 0 = s - 4*s + 5*f + 451, 2*f - 584 = -4*s. Let r be ((-2)/(-5))/(s/105). Solve r*k**3 - 2/7*k**2 + 0*k + 0 = 0 for k.
0, 1
Factor 0 - 2/3*h + 2/3*h**2.
2*h*(h - 1)/3
Let o = 142/3 - 46. Factor -2/3 - o*y - 2/3*y**2.
-2*(y + 1)**2/3
Let m = -11 + 13. Suppose 2 + 2*k - k**2 + 0*k**m - 3 + 0 = 0. What is k?
1
Let g(z) be the third derivative of 1/30*z**5 + 0*z**3 + 0*z**4 + 0*z - 1/105*z**7 - 1/60*z**6 + 1/168*z**8 + 0 - 6*z**2. Factor g(n).
2*n**2*(n - 1)**2*(n + 1)
Let b(d) be the third derivative of 2*d**2 + 0*d + 1/4*d**4 - 1/20*d**6 + 1/70*d**7 + 0 + 0*d**3 - 1/20*d**5. Determine i, given that b(i) = 0.
-1, 0, 1, 2
Let c be (-1 - (-2)/6) + 2. Let x be ((-4)/(-30))/(33/30 + -1). Factor -1/3*s**2 - x*s - c.
-(s + 2)**2/3
Let g = 207839/9 + -23132. Let m = g - -39. Factor -2/9*b + m*b**2 + 0.
2*b*(b - 1)/9
Let x(q) = -5*q**2 - q - 2. Let h(i) = 6*i**2 + i + 2. Let u(n) = -6*h(n) - 7*x(n). Factor u(f).
-(f - 2)*(f + 1)
Let -3*o**3 - 23*o**3 - 44*o**2 + 8 - 12*o**4 - 18*o**3 - 4*o = 0. Calculate o.
-2, -1, 1/3
Let k = 18 - -3. Let z = k + -41/2. Factor -z*j**2 + 0 + 1/2*j.
-j*(j - 1)/2
Let o(k) be the first derivative of 3*k**5/5 + 12*k**4 + 96*k**3 + 384*k**2 + 768*k - 1. Factor o(w).
3*(w + 4)**4
Factor 43*h**2 + 37*h**2 + 5*h**3 + 249*h + 0*h**3 + 71*h.
5*h*(h + 8)**2
Let c(o) be the first derivative of -1 + 1/5*o**5 - 1/2*o**4 + o**2 - o + 0*o**3. Factor c(y).
(y - 1)**3*(y + 1)
Factor -10/7*d**2 - 2/7*d**4 - 4/7*d - 8/7*d**3 + 0.
-2*d*(d + 1)**2*(d + 2)/7
Let g = 22 - 31. Let v(c) = -c - 9. Let t be v(g). Factor -f + 1/3*f**3 + t*f**2 + 2/3.
(f - 1)**2*(f + 2)/3
Let j = -48/23 - -2903/1380. Let l(c) be the second derivative of 0*c**2 + 0 - c - 1/8*c**4 - j*c**6 - 3/40*c**5 - 1/12*c**3. Find d, given that l(d) = 0.
-1, 0
Suppose -15*o + 16 = -11*o. Let d(y) be the second derivative of -1/9*y**3 - 1/18*y**o + 2/3*y**2 + 0 - y. Factor d(w).
-2*(w - 1)*(w + 2)/3
Suppose 10*f = -2 + 22. Solve 1/2 - x + 1/2*x**f = 0.
1
Suppose -3*l = -3*j - 6 - 0, -j = -1. Let 0*d**2 + 3/4*d - 3/4*d**l + 0 = 0. Calculate d.
-1, 0, 1
Let