 5/6*w**3. Let l(c) be the second derivative of z(c). Factor l(g).
g*(g + 2)/2
Let w be (-4)/(-1) - (2 - 0). Suppose -5*c - p = -15, -3*c + 4*p - 4 + 13 = 0. Factor -3/5*a + 0*a**w + 3/5*a**c + 0.
3*a*(a - 1)*(a + 1)/5
Suppose -3*o = -8*b + 3*b + 66, -4*b = 2*o + 22. Let k = -10 - o. Suppose -5*y**2 + k*y**4 + 7*y**3 + y**2 + 5*y**3 = 0. What is y?
-2, 0, 2/7
Let t(z) be the first derivative of 0*z**2 - 2/5*z**3 + 22/25*z**5 - 19 - 1/5*z**6 + 0*z - 1/2*z**4. Solve t(q) = 0.
-1/3, 0, 1, 3
Let f(d) be the second derivative of d**7/21 - 47*d**6/75 + 9*d**5/5 - 19*d**4/15 - 31*d**3/15 + 21*d**2/5 - 3*d - 53. What is v in f(v) = 0?
-3/5, 1, 7
Let f be (60/50)/(6/(-75)). Let i(g) = g**3 + 14*g**2 - 18*g - 41. Let o be i(f). Factor -8/3*z**5 - 56/3*z**2 - 64/3*z**3 - 4/3 - 12*z**o - 8*z.
-4*(z + 1)**4*(2*z + 1)/3
Let o(m) be the first derivative of 2 - 10/3*m**3 + 0*m**2 + 5/4*m**4 + 0*m. Solve o(h) = 0 for h.
0, 2
Suppose 0 - 3/2*i**2 - i + 0*i**3 + 1/2*i**4 = 0. Calculate i.
-1, 0, 2
Let n(s) be the first derivative of 9*s**4 - 3*s**5 - 77*s**3 + 73*s**3 + 3 + 0*s**5. Find y, given that n(y) = 0.
0, 2/5, 2
Let b(q) = -7*q**2 - 15*q - 47. Let s(g) = -20*g**2 - 46*g - 140. Let d(m) = 14*b(m) - 5*s(m). Determine i so that d(i) = 0.
-7, -3
Let j(o) be the third derivative of -o**7/840 - o**6/40 - o**5/8 - 7*o**4/24 - 3*o**3/8 - 65*o**2 + 2. Factor j(p).
-(p + 1)**3*(p + 9)/4
Let s(g) be the first derivative of 1/34*g**4 - 2 + 8/51*g**3 + 0*g + 3/17*g**2. Determine z so that s(z) = 0.
-3, -1, 0
Suppose -3*f = -3*q - 2*q + 630, -2*q - 2*f = -268. Let u = -515/4 + q. Determine n so that 0*n**2 - 1/4*n**3 - u*n**4 + 0*n + 0 = 0.
-1, 0
Let v(w) = -w**3 - 16*w**2 + 21*w + 31. Let d be v(-17). Let b = -103/3 - d. Factor 2/3 + 8/3*r + b*r**2.
2*(2*r + 1)**2/3
Let m(c) = c**2 - 10*c + 11. Let i be m(9). Factor -2*n + 2*n**3 - n**4 + 52 - 52 + n**i.
-n*(n - 2)*(n - 1)*(n + 1)
Let u(g) = g**2 + 12*g + 11. Let t be u(-14). Factor -6*j**2 + t*j + 1 - 9 - 6*j**2 - 1.
-3*(j - 3)*(4*j - 1)
Let c be (((-588)/1617)/((-20)/66))/(1/5). Factor 24/5*h - 6/5*h**2 + c.
-6*(h - 5)*(h + 1)/5
Let d(w) be the second derivative of w**5/4 - 145*w**4/12 - 320*w**3/3 - 330*w**2 - 227*w. Find u, given that d(u) = 0.
-2, 33
Let u(j) be the first derivative of -2*j**5/5 + j**4 + 14*j**3/3 - 20*j**2 + 24*j - 208. Factor u(n).
-2*(n - 2)**2*(n - 1)*(n + 3)
Let g(w) be the second derivative of w**6/180 + w**5/30 - w**3/6 - 8*w. Let p(l) be the second derivative of g(l). Determine y so that p(y) = 0.
-2, 0
Let p(y) = 174*y**3 + 210*y**2 - 114*y - 27. Let t(b) = 25*b**3 + 30*b**2 - 16*b - 4. Let x(m) = 4*p(m) - 27*t(m). Determine l so that x(l) = 0.
-2, 0, 4/7
Suppose 6*m + 8 = 8*m. Factor 3*w**m - 3 - 15*w + 48*w - 3*w**5 - 5 - 1 - 42*w**2 + 18*w**3.
-3*(w - 1)**4*(w + 3)
Determine q so that 7/3*q**3 - 20/3*q**2 - 1/3*q**5 + 2/3*q**4 + 0 + 4*q = 0.
-3, 0, 1, 2
Let p be 2 - (0 + 3) - -61. Let f be p/27 + (-4)/18. Factor -2 + m**f + 2 + 0 + 2*m - m**3.
-m*(m - 2)*(m + 1)
Let d = 5846/3 - 1948. Let 2/3*o - 1/6*o**2 - d = 0. What is o?
2
Let d be 11 + -14 + (0 - -42). Let -d*y**2 + 78*y - 71 + 42*y + 3*y**2 - 29 = 0. What is y?
5/3
Factor -7487 + 4*z**2 - 444*z + 7487.
4*z*(z - 111)
Suppose -7/6*k**2 + 0 + 5/6*k**3 + 1/2*k - 1/6*k**4 = 0. What is k?
0, 1, 3
Let s(j) be the first derivative of -2*j**5/5 + 11*j**4/2 + 60*j**3 + 196*j**2 + 272*j - 614. Factor s(v).
-2*(v - 17)*(v + 2)**3
Let d(j) be the first derivative of 2*j**3/21 - 8*j**2/7 - 6. Factor d(w).
2*w*(w - 8)/7
Let t(u) be the first derivative of -u**3/3 + 7*u**2/2 + 9*u - 1. Let w be t(7). Factor 5*m - w*m - 12 - 4*m**2 - 12*m.
-4*(m + 1)*(m + 3)
Let h = -384/19 + 38457/1900. Let x(o) be the second derivative of 0 + 0*o**4 - 2*o + 0*o**3 + 1/50*o**6 + 0*o**2 + h*o**5. What is y in x(y) = 0?
-1, 0
Suppose -4*g = 16, g - 41 = -5*l + 5*g. Let q(z) be the third derivative of 0 - 1/60*z**6 + 0*z + 1/12*z**4 + z**2 + 0*z**3 + 0*z**l. Factor q(n).
-2*n*(n - 1)*(n + 1)
Let m(h) be the first derivative of h**3/6 - 11*h**2/4 + 9*h + 162. Factor m(p).
(p - 9)*(p - 2)/2
Suppose 0 = -35*m + 33*m + 4. Factor 6*q + 10*q**3 + 10*q**2 + 6*q**m + 2*q**4 + 2*q.
2*q*(q + 1)*(q + 2)**2
Determine k, given that -1/3*k**3 - 11/3*k**2 - 8*k + 12 = 0.
-6, 1
Let k(g) be the third derivative of -2*g**2 + 0 + 0*g + 3/8*g**6 + 5/3*g**3 - 55/24*g**4 + g**5. Let k(b) = 0. What is b?
-2, 1/3
Factor -1/3*v**2 - 7*v + 22/3.
-(v - 1)*(v + 22)/3
Let y be 1*-7 - (-16 + 15). Let g be (-2)/4*(4 + -6 + y). Factor 1/2*m**2 + 1/2*m**3 - 1/2*m**g + 0 - 1/2*m.
-m*(m - 1)**2*(m + 1)/2
Let g(v) be the third derivative of -v**7/462 - v**6/440 + 2*v**5/165 - 52*v**2. Find l, given that g(l) = 0.
-8/5, 0, 1
Let t(y) be the second derivative of y**5/110 + 2*y**4/11 - 13*y**3/33 - 224*y. Determine f so that t(f) = 0.
-13, 0, 1
Let s(h) = -h**2 + 7*h - 3. Let x = 54 - 48. Let o be s(x). Factor -1/3*a**4 - a**2 - 1/3*a - a**o + 0.
-a*(a + 1)**3/3
Let r(m) be the third derivative of 0*m**3 + 0*m + 1/72*m**5 + 5/72*m**4 + 14*m**2 + 0. Suppose r(f) = 0. What is f?
-2, 0
Let q(u) be the third derivative of -2*u**2 + 1/20*u**5 + 0*u**3 + 0 + 1/12*u**4 - 1/24*u**6 + 0*u. What is c in q(c) = 0?
-2/5, 0, 1
Let d be ((-8)/(-6))/(8/(-84)). Let j = d - -101/7. Factor -3/7 + j*a**2 - 3/7*a + 3/7*a**3.
3*(a - 1)*(a + 1)**2/7
Let r(z) be the first derivative of z**4 - 20*z**3/3 - 114*z**2 - 396*z + 132. Find w, given that r(w) = 0.
-3, 11
Suppose 0 = z, -z + 15 = 9*b - 4*b. Let u(y) be the second derivative of -1/5*y**2 - 1/30*y**b + 0 + 1/60*y**4 + 3*y. Determine f, given that u(f) = 0.
-1, 2
Let t(b) be the third derivative of b**8/112 - 2*b**7/35 - 11*b**6/40 + 13*b**5/10 + 8*b**4 + 16*b**3 - 5*b**2. What is o in t(o) = 0?
-2, -1, 4
Let w(h) = -3*h**3 + 9*h**2 + 24*h. Let y(q) = -q**4 - q**3 + q**2. Let d(u) = -w(u) - 3*y(u). Factor d(v).
3*v*(v - 2)*(v + 2)**2
Determine u so that 6*u - 1/4*u**2 - 11 = 0.
2, 22
Let s(q) be the first derivative of 3 - 4*q - 1/110*q**5 + 7/66*q**4 - 5/11*q**3 + 9/11*q**2. Let y(t) be the first derivative of s(t). Factor y(n).
-2*(n - 3)**2*(n - 1)/11
Let f(p) = p**3 - 6*p**2 - 5. Let n be f(6). Let w = -3 - n. Factor -c + 2*c**w - 7*c + 4*c.
2*c*(c - 2)
Let c = -13 + 263/20. Let w(s) be the first derivative of c*s**5 + 11/2*s**3 - 2 + 3/2*s**4 + 27/4*s + 9*s**2. Let w(v) = 0. Calculate v.
-3, -1
Let c = -3116/9 - -3122/9. Suppose 1/3*t**2 + 0 - c*t = 0. What is t?
0, 2
Let x(i) be the third derivative of 0 + 7/60*i**5 + 3/2*i**3 + 5/8*i**4 + 1/120*i**6 + 8*i**2 + 0*i. Suppose x(s) = 0. What is s?
-3, -1
Let s be (-14)/63 + (-5)/((-45)/542). Suppose 22*d - 10*d = s. Solve 2/9*y**4 - 2/9*y**3 + 0*y - 2/9*y**2 + 2/9*y**d + 0 = 0.
-1, 0, 1
Let k(f) = 2*f**3 + 6*f**2 + 4*f. Let b(h) = 2*h**3 + 7*h**2 + 5*h. Let j(m) = 3*m + 4. Let v = 9 + -11. Let d be j(v). Let l(s) = d*b(s) + 3*k(s). Factor l(q).
2*q*(q + 1)**2
Let c(o) be the second derivative of -11*o + 0*o**2 + 0*o**3 + 0 + 1/48*o**4 + 1/80*o**5. Factor c(t).
t**2*(t + 1)/4
Let a = -2293/24 - -775/8. Factor b**2 + 1/2*b**4 + a*b**3 + 0*b - 1/6.
(b + 1)**3*(3*b - 1)/6
Let i(o) be the third derivative of -o**6/1800 + o**5/120 + o**4/20 - o**3/6 - 14*o**2. Let x(u) be the first derivative of i(u). What is b in x(b) = 0?
-1, 6
Let n(k) be the second derivative of k**8/8400 - k**7/1575 + k**6/900 + 3*k**4/2 + 2*k. Let c(u) be the third derivative of n(u). Solve c(p) = 0 for p.
0, 1
Factor 4790*v**2 - v**4 - 4778*v**2 + 4*v**3 - 7*v**4.
-4*v**2*(v + 1)*(2*v - 3)
Let f(c) be the third derivative of 0 + c**2 + 0*c**3 + 0*c**4 + 1/15*c**5 + 0*c. Factor f(q).
4*q**2
Let i(j) be the third derivative of j**5/180 + 5*j**4/8 - 23*j**3/9 - 81*j**2. Suppose i(c) = 0. Calculate c.
-46, 1
Let p(m) = 12*m**2 + m - 1. Let v(g) = g**3 + 347*g**2 - 522*g + 258. Let j(z) = -21*p(z) + 3*v(z). Find c such that j(c) = 0.
-265, 1
Let p(f) = 5*f**2 - 4*f - 9. Let n(l) = l**2 + 1. Let z(r) = 2*r**2 + 2*r + 8. Let q(i) = 4*n(i) - z(i). Let u(a) = -3*p(a) + 7*q(a). Let u(m) = 0. What is m?
-1
Let q(s) = 2*s**2 - 31*s + 112. Let i be q(10). Solve -1/4 - 1/4*c**i - 1/2*c = 0 for c.
-1
Let f(u) be the first derivative of 2/3*u**3 - 4*u**2 - 9 + 8*u. Factor f(h).
2*(h - 2)**2
Let g(f) = 8*f**5 + 40*f**4 + 89*f**3 + 44*f**2 + 49*f - 1. Let c(l) 