derivative of 0*c**3 - 1/5*c**5 + c + 0 + 0*c**4 + 0*c**y. Factor z(h).
-4*h**3
Let z be 5 + -5 + 1 + 3. Let r(i) be the third derivative of 0*i - 1/120*i**5 + 0*i**z + 0 + 5*i**2 + 0*i**3 - 1/60*i**6 - 1/140*i**7. Factor r(o).
-o**2*(o + 1)*(3*o + 1)/2
Suppose 5*z + 8 - 38 = 0. Let p = z + 4. Find b such that 4*b + 0*b**4 + 0*b**2 + 8*b**3 - p*b**2 - 2*b**4 = 0.
0, 1, 2
Let c(u) = 24*u + 90. Let i be c(-4). Let a be 30/(-90) + (-14)/i. Factor 3/7*n + 3/7*n**a + 0.
3*n*(n + 1)/7
Suppose -62 = -5*c - 4*r, -5*r - 17 = -5*c + 18. Factor -5*j + 5*j + 5*j + 3*j**2 + c*j.
3*j*(j + 5)
Let x = 133 - 122. Let w(h) = h**3 - 13*h**2 + 21*h + 13. Let c be w(x). Factor 32/5 + 336/5*v**3 + 176/5*v**c + 98/5*v**4 - 192/5*v.
2*(v + 2)**2*(7*v - 2)**2/5
Let o(l) be the third derivative of 1/150*l**5 - 1/10*l**4 + 1/150*l**6 + 0*l - 1/1050*l**7 - 3/10*l**3 + 0 - 7*l**2. Factor o(x).
-(x - 3)**2*(x + 1)**2/5
Let o(d) be the second derivative of d**6/50 + 3*d**5/50 - 7*d**4/20 + 2*d**3/5 + 102*d. Factor o(j).
3*j*(j - 1)**2*(j + 4)/5
Determine u so that 21 + 4*u**2 - 5*u**2 - 2*u + 3*u + 10*u - 7*u = 0.
-3, 7
Suppose 10*p = 6*p + 20. Suppose p*y = 4*b - 6, -3*y - y + 4 = -b. Suppose -b*s**3 + 0 + 5*s + 4*s**4 + 0 - 4*s**2 - s = 0. Calculate s.
-1, 0, 1
Let q(b) be the first derivative of b**4/66 + 2*b**3/11 - 7*b**2/11 - 39*b - 39. Let a(j) be the first derivative of q(j). Factor a(i).
2*(i - 1)*(i + 7)/11
Find i, given that 0*i**3 + 0 - 3/4*i**2 + 1/4*i**4 + 1/2*i = 0.
-2, 0, 1
Let x(l) be the second derivative of -l**5/5 + 8*l**4/3 + 22*l**3/3 - 36*l**2 + 4*l + 25. Factor x(s).
-4*(s - 9)*(s - 1)*(s + 2)
Let b(q) = q**2 - 5*q - 18. Let c be b(8). Let v(i) be the first derivative of 2/5*i**5 + 0*i - 3/2*i**4 + c + 2*i**3 - i**2. Factor v(l).
2*l*(l - 1)**3
Let u = 17646/11 - 1604. Factor 0*m + 0 + u*m**4 + 2/11*m**2 - 4/11*m**3.
2*m**2*(m - 1)**2/11
Let g(p) be the third derivative of p**6/300 - p**5/15 + 17*p**4/60 - 8*p**3/15 + 26*p**2. Find w such that g(w) = 0.
1, 8
Let q = 2753/5538 + 8/2769. Factor -q*x**3 + 0 + 2*x**4 + 0*x + 0*x**2 - 3/2*x**5.
-x**3*(x - 1)*(3*x - 1)/2
Suppose 0 = -4*a - 4*s, 2*s + 3 - 9 = -4*a. Solve 1/2*d**4 + 0 - 1/4*d**5 - 1/2*d**2 + 1/4*d + 0*d**a = 0 for d.
-1, 0, 1
Let o(s) be the first derivative of 1/2*s**2 - 1/3*s**4 - 2/3*s + 1/18*s**6 - 39 + 0*s**5 + 2/9*s**3. Find g such that o(g) = 0.
-2, -1, 1
Let h(t) be the third derivative of -t**5/15 - t**4 - 10*t**3/3 - 8*t**2 - 5*t. Factor h(y).
-4*(y + 1)*(y + 5)
Suppose -119 = 9*t - 38. Let j be 8 + t + -1 + (2 - -2). Factor -1/6*w**j - 1/6*w + 1/3.
-(w - 1)*(w + 2)/6
Let s(r) = r**2. Let q(p) = 8*p - 6 + 7*p**2 - 20*p + 13*p. Let t(a) = -q(a) + 6*s(a). Determine n, given that t(n) = 0.
-3, 2
Let u(v) be the first derivative of -v**7/252 + v**6/60 - v**5/40 + v**4/72 - 24*v + 29. Let b(y) be the first derivative of u(y). Factor b(k).
-k**2*(k - 1)**3/6
Let b be 1*2*342/399. Factor 2/7*r**2 - 10/7*r + b.
2*(r - 3)*(r - 2)/7
Let a be (-278)/(-44) - 2/(-11). Let j be 32/(-32) + 3 + (-6)/(-4). Determine z so that j*z**5 + 23/2*z**4 + 27/2*z**3 + a*z**2 + 0 + z = 0.
-1, -2/7, 0
Let t(f) be the second derivative of f**5/110 + 17*f**4/66 + 21*f**3/11 - 81*f**2/11 + 20*f - 3. Let t(s) = 0. What is s?
-9, 1
Let v(s) be the second derivative of -s**7/70 - 2*s**6/25 - 3*s**5/25 + 2*s + 7. Factor v(x).
-3*x**3*(x + 2)**2/5
Let d(j) = -j**2 + 9*j - 10. Let p be d(7). Suppose -o + 0*o = g + 2, -o - 2*g - p = 0. Suppose 3*a**3 - 1 + 8*a**2 + a**2 + 9*a + o + 4 = 0. What is a?
-1
Factor 22*f**4 - 2*f**5 - 8*f**5 + 39*f**3 - 43*f**3.
-2*f**3*(f - 2)*(5*f - 1)
Let q(a) be the second derivative of -a**6/10 + 39*a**5/10 - 141*a**4/4 - 182*a**3 - 294*a**2 - 129*a. What is w in q(w) = 0?
-1, 14
Let y(t) = 5*t**4 + 40*t**3 + 28*t**2 - 154*t - 228. Let u(p) = -5*p**4 - 40*p**3 - 26*p**2 + 153*p + 226. Let w(s) = 6*u(s) + 7*y(s). Factor w(o).
5*(o - 2)*(o + 2)**2*(o + 6)
Let z(v) be the third derivative of -v**8/1008 + v**7/126 + 7*v**6/180 + v**5/90 - 13*v**4/72 - 7*v**3/18 - 35*v**2. Factor z(r).
-(r - 7)*(r - 1)*(r + 1)**3/3
Let n be (-2)/6*3/24*-3. Let a = n + 3/8. Suppose 0 - 1/2*m**2 - m + a*m**3 = 0. Calculate m.
-1, 0, 2
Let g(y) be the third derivative of -y**5/130 - 4*y**4/39 - 5*y**3/39 - 45*y**2. Suppose g(v) = 0. Calculate v.
-5, -1/3
Let b = -1071 - -1074. Let 0 - 8*d + 8*d**2 - 2*d**4 + 0*d**b + 1/2*d**5 = 0. Calculate d.
-2, 0, 2
Let f(j) be the first derivative of 69/4*j**4 + 6*j**2 + 13 + 3*j**5 + 12*j - 29*j**3 - 7/2*j**6. Solve f(t) = 0 for t.
-2, -2/7, 1
Let r(t) be the second derivative of 5*t**4/72 + 5*t**3/18 + 5*t**2/12 - 122*t. Let r(k) = 0. Calculate k.
-1
Let a(v) = v - 10. Let c be a(13). Solve -11*l**c + 17*l**3 - l - 3*l**2 - 2*l + 0*l = 0.
-1/2, 0, 1
Let c(l) be the third derivative of -l**6/40 - 139*l**5/20 - 595*l**4 + 2450*l**3 - 531*l**2. Suppose c(r) = 0. What is r?
-70, 1
Let v(j) = j + 5. Let b be v(7). Suppose -3*w = -b - 6. Find u, given that -5*u**2 + 8*u**3 + 11*u**2 + 2*u**2 - w*u**4 = 0.
-2/3, 0, 2
Solve -723*j**3 + 5*j**5 + 60*j**2 + 713*j**3 - 41*j - 15*j**4 + j = 0 for j.
-2, 0, 1, 2
Let c(y) be the first derivative of -4*y**3 + 13 - 3/20*y**4 - 30*y**2 + 0*y. Let c(k) = 0. What is k?
-10, 0
Let 101*b**4 - 204*b**4 - 24*b**3 + 106*b**4 = 0. What is b?
0, 8
Let x = 5 + 0. Determine m, given that -x*m**2 + 18*m + 0*m**2 - 26*m + m**2 = 0.
-2, 0
Let h = -112 + 116. Find d such that -39 + 10*d**3 - 14*d**2 + 23 + 6*d - 2*d**h + 16 = 0.
0, 1, 3
Let s be (-3)/(-12)*-2*(-12)/2. Factor 7 + 9 - 9 - 3*q - s*q**2 - 1.
-3*(q - 1)*(q + 2)
Let h(f) = 9*f**4 + 4*f**3 + 4*f**2 + 4*f + 4. Let p(t) = -17*t**4 - 7*t**3 - 7*t**2 - 7*t - 7. Let c(k) = 7*h(k) + 4*p(k). Factor c(g).
-5*g**4
Suppose 0 = -3*t + 5 + 7. Let a be 0/289*(-2)/22. Suppose 2/3*h**3 + a - 1/3*h - 1/3*h**5 + 0*h**2 + 0*h**t = 0. What is h?
-1, 0, 1
Determine h, given that -21*h**2 - 20*h**2 + 72*h**2 - 70*h - 26*h**2 = 0.
0, 14
Let g be 528/1260 + (-14)/105. Let l(u) be the first derivative of -11 - 2/21*u**3 + 2/7*u**2 - g*u. Find c such that l(c) = 0.
1
Suppose -3*r - 1 = -2*r. Let y(h) = -h**4 + h**3 + 9*h**2 - 3*h - 4. Let s(n) = n**4 - n**3 + 1. Let g(u) = r*y(u) + 2*s(u). Let g(m) = 0. What is m?
-1, 1, 2
Let b(q) be the first derivative of q**4/8 + 7*q**3/6 + 7*q**2/2 + 4*q + 195. Factor b(x).
(x + 1)*(x + 2)*(x + 4)/2
Let r(n) be the first derivative of -8/19*n + 18 - 4/19*n**3 - 1/38*n**4 - 9/19*n**2. Suppose r(h) = 0. What is h?
-4, -1
Let k(o) be the third derivative of 13/3*o**4 + 11/10*o**5 - 7/60*o**6 - 13*o**2 + 0*o + 4*o**3 + 0. Factor k(c).
-2*(c - 6)*(c + 1)*(7*c + 2)
Let m(y) be the third derivative of 0 + 0*y**5 + 0*y + 0*y**4 + 1/30*y**6 + 2/105*y**7 - 4*y**2 + 0*y**3. Determine v, given that m(v) = 0.
-1, 0
Let x = 266 - 264. Let d(s) be the first derivative of -8*s**x - 10/3*s**3 + 2 - 1/2*s**4 - 8*s. Let d(a) = 0. Calculate a.
-2, -1
Let h(a) be the third derivative of -a**5/15 - 11*a**4 + 292*a**2. Let h(s) = 0. Calculate s.
-66, 0
Let u(p) = 7*p**3 + 3*p**2 - 15*p - 15. Let f(i) = -8*i**3 - 3*i**2 + 16*i + 13. Let a(g) = -6*f(g) - 7*u(g). Factor a(z).
-(z - 3)*(z + 3)**2
Let k(j) be the second derivative of -j**5/4 + 25*j**4/12 - 35*j**3/6 + 15*j**2/2 + 42*j. Let k(i) = 0. Calculate i.
1, 3
Let r(p) = p**2 - 6*p + 9. Let o(w) = -w**3 - 13*w**2 + 14*w + 9. Let l be o(-14). Let b be r(l). Factor b*t**2 + 17*t - 9*t**2 - 65*t - 12.
3*(t - 2)*(9*t + 2)
Let w = -233/3 + 1399/18. Let f(a) be the first derivative of -4 - w*a**2 + 0*a + 1/27*a**3. Factor f(d).
d*(d - 1)/9
Let t = -13 + 15. Suppose 0 = 3*j + t - 8. Factor -7*g**2 + j*g**3 - 2*g**2 + 8 + 3*g**2.
2*(g - 2)**2*(g + 1)
Let u be -2*-3*(-7)/(-6). Suppose 5*c = -9*b + 6*b - 1, -5*c - u = b. Let 6/5*v - 2/5 - 6/5*v**2 + 2/5*v**b = 0. What is v?
1
Let v(m) = 25*m**5 + 71*m**4 + 47*m**3 + 6*m**2. Let f(d) = -12*d**5 - 36*d**4 - 24*d**3 - 3*d**2. Let c(n) = -5*f(n) - 3*v(n). Factor c(u).
-3*u**2*(u + 1)**2*(5*u + 1)
Let f(o) be the third derivative of -o**7/70 + 9*o**5/20 + 3*o**2 - 37*o. Let f(w) = 0. What is w?
-3, 0, 3
Let v = -5995 + 18005/3. Factor -2/3*m**2 - v*m - 50/3.
-2*(m + 5)**2/3
Let b be 5*1/30 - (-1)/(-6). Suppose b = -33*x + 30*x. Let -2*f - 93/2*f**3 + x - 25*f**5 + 115/2*f**4 + 16*f**2 = 0. What is f?
0, 2/5, 1/2,