derivative of 0*i**4 + 0 + 1/30*i**s - 1/3*i**3 + 0*i + 4*i**2. Factor r(c).
2*(c - 1)*(c + 1)
Let h(u) be the second derivative of u**8/2184 + 4*u**7/1365 + u**6/156 + u**5/195 - 2*u**2 - 12*u. Let v(n) be the first derivative of h(n). Factor v(a).
2*a**2*(a + 1)**2*(a + 2)/13
Let d = 53 - 48. Let p(k) = -3*k**2 - 3*k - 2. Let q(h) = -2*h**2 - 2*h - 1. Let z(o) = d*p(o) - 8*q(o). Suppose z(x) = 0. Calculate x.
-2, 1
Let r(x) be the second derivative of -1/27*x**4 - 3*x + 1/270*x**5 + x**2 + 0 + 1/9*x**3. Let j(q) be the first derivative of r(q). Factor j(f).
2*(f - 3)*(f - 1)/9
Let r(c) be the second derivative of 8*c + 10/3*c**3 + 0 - 1/5*c**5 - 1/3*c**4 - 6*c**2. Factor r(a).
-4*(a - 1)**2*(a + 3)
Factor 4/7*u**3 + 2/7*u**2 - 2/7*u**4 + 0 - 4/7*u.
-2*u*(u - 2)*(u - 1)*(u + 1)/7
Factor 3*h**4 - 44*h - 8 - 56*h**2 - 44*h**3 - 2*h**5 + 10*h - 19*h**4.
-2*(h + 1)**4*(h + 4)
Let c(h) be the third derivative of 17*h**5/15 + 20*h**4/3 + 8*h**3 + 157*h**2 + h. Find v such that c(v) = 0.
-2, -6/17
Factor 12*n + 1/2*n**2 - 25/2.
(n - 1)*(n + 25)/2
Let f(t) be the first derivative of -3*t**5/20 + 9*t**4/16 - t**3/4 - 9*t**2/8 + 3*t/2 - 4. Let f(s) = 0. What is s?
-1, 1, 2
Let l be 659/(-1 + 1 + -1). Let w = 7261/11 + l. Solve -w*b - 2/11*b**2 - 18/11 = 0 for b.
-3
Let r(m) be the third derivative of -11*m**2 + 0*m + 2/3*m**3 + 1/12*m**4 - 1/30*m**5 + 0. Factor r(b).
-2*(b - 2)*(b + 1)
Let f be (-1)/5 + 186/30. Suppose 0*n - 3*n + f = 0. Factor -16 + 6*t**2 - 4*t - 4*t**3 - 18*t**n - 32*t - 12*t**2.
-4*(t + 1)**2*(t + 4)
Let v(n) be the first derivative of 3/20*n**4 + 1/10*n**2 + 9 + 1/5*n**3 + 1/25*n**5 + 0*n. Factor v(s).
s*(s + 1)**3/5
Suppose -8*y = -3*y. Let s(z) be the second derivative of y*z**4 - 3/2*z**2 + 3/10*z**5 + 0 + 3*z - z**3 + 1/10*z**6. Factor s(n).
3*(n - 1)*(n + 1)**3
Find l such that 7/4*l**2 + 0 - 5/4*l**3 + 3/2*l - 1/4*l**5 - 7/4*l**4 = 0.
-6, -1, 0, 1
Let u(w) be the second derivative of -2*w**4/45 + 7*w**3/45 + w**2 - 2*w + 147. Factor u(m).
-2*(m - 3)*(4*m + 5)/15
Suppose 117 + 155 = 34*z. Let d(a) be the third derivative of -z*a**2 + 3/8*a**4 - 1/20*a**5 + 0 - a**3 + 0*a. What is f in d(f) = 0?
1, 2
Let -41/2*o**2 - 9/4*o**4 - 2 + 13*o + 47/4*o**3 = 0. What is o?
2/9, 1, 2
Factor 16 - 4/5*h**2 + 32/5*h.
-4*(h - 10)*(h + 2)/5
Let n(k) be the second derivative of -5/42*k**7 + 5/2*k**2 - 1/2*k**6 + 5/6*k**4 + 0 - 1/2*k**5 + 14*k + 5/2*k**3. What is z in n(z) = 0?
-1, 1
Let i be 4/(-10)*60/(-12). Factor 3*t**5 - 19*t**2 - 6*t**5 - 14*t**i + 27*t**2 + 9*t**3.
-3*t**2*(t - 1)**2*(t + 2)
Let y(i) = i**3 - 12*i**2 + 9*i + 5. Let s be y(11). Let o = 22 + s. Solve -12*x**2 + 9*x**2 + o*x**3 + 4*x**3 = 0 for x.
0, 1/3
Let x(u) be the second derivative of u**4/4 - u**3/2 - 3*u**2 + u - 25. Factor x(d).
3*(d - 2)*(d + 1)
Let v(f) be the first derivative of -49 + 1/6*f**3 + 0*f + 1/2*f**2 - 1/8*f**4. Factor v(d).
-d*(d - 2)*(d + 1)/2
Suppose 1176*p + 34 + 19 + 17 - 22 + 7203*p**2 = 0. Calculate p.
-4/49
Let a(i) be the second derivative of -i**5/190 - i**4/57 + 4*i**3/57 + 8*i**2/19 - 3*i + 26. Solve a(g) = 0.
-2, 2
Let w(s) be the first derivative of -23*s**6/90 - 5*s**5/6 - s**4/3 - 22*s**3/3 + 26. Let z(j) be the third derivative of w(j). Let z(u) = 0. Calculate u.
-1, -2/23
Let s(q) be the second derivative of 4*q - 12/5*q**4 - 3/5*q**2 + 0 - 69/100*q**5 - 27/10*q**3. What is c in s(c) = 0?
-1, -2/23
Solve -9*b - b + 8*b**3 + 54 + 3*b**5 - b**5 + 4*b**2 - 8*b**4 - 50 = 0.
-1, 1, 2
Factor -4 + h**3 + 240*h**2 - h - 479*h**2 + 243*h**2.
(h - 1)*(h + 1)*(h + 4)
Let z(v) = v**2 - 11*v - 27. Let i(p) = -12*p - 26. Let t(b) = -3*i(b) + 2*z(b). Factor t(o).
2*(o + 3)*(o + 4)
Let y(j) be the second derivative of -27*j**5/160 + 19*j**4/16 - j**3/2 + j + 141. Solve y(q) = 0 for q.
0, 2/9, 4
Let c(z) be the second derivative of -z**7/14 - z**6/6 + 5*z**5/4 - 5*z**4/4 - 5*z**3/3 + 4*z**2 + z + 96. Factor c(p).
-(p - 1)**3*(p + 4)*(3*p + 2)
Let s be 24/(-28) + 144/21. Let h(g) be the second derivative of 6/5*g**5 + 9*g**4 + 5*g + 81*g**2 + 36*g**3 + 1/15*g**s + 0. Factor h(u).
2*(u + 3)**4
Factor 190/11 - 192/11*n + 2/11*n**2.
2*(n - 95)*(n - 1)/11
Let i(c) be the first derivative of -4/55*c**5 + 0*c**2 - 2 + 0*c**3 + 1/33*c**6 - 3/22*c**4 + 0*c. Suppose i(h) = 0. What is h?
-1, 0, 3
Let s(r) be the first derivative of -r**6/24 + 7*r**5/24 - 5*r**4/12 - 19*r**3/3 + 22. Let i(x) be the third derivative of s(x). Factor i(n).
-5*(n - 2)*(3*n - 1)
Let y(h) be the first derivative of -2*h**3/33 - 2*h**2 - 22*h + 270. Factor y(q).
-2*(q + 11)**2/11
Let l(c) be the first derivative of 0*c - 1/14*c**2 + 1/21*c**3 - 8. Find i such that l(i) = 0.
0, 1
Let b(z) be the second derivative of -z**7/462 + z**6/55 - z**5/44 - 33*z + 4. Let b(u) = 0. What is u?
0, 1, 5
Let o = -15 - -18. Suppose h - 18 = -o*z, 0 = 2*h - 0*h - 2*z + 4. Suppose 6*v**2 + 3*v - 3*v**h - 4*v - 2*v = 0. What is v?
0, 1
Let c(x) be the second derivative of 8*x**7/21 + 6*x**6/5 - 82*x**5/5 + 17*x**4 + 12*x**3 + 50*x - 2. Find k, given that c(k) = 0.
-6, -1/4, 0, 1, 3
Factor -732*t**3 + 358*t**3 - 116*t**2 - 115*t + 338*t**3 - 72 - 4*t**4 - 41*t.
-4*(t + 1)*(t + 2)*(t + 3)**2
Let g(x) be the second derivative of x**7/273 - 2*x**6/195 + x**4/39 - x**3/39 + 5*x - 1. Factor g(r).
2*r*(r - 1)**3*(r + 1)/13
Let g(j) = 674*j**3 - 864*j**2 - 656*j + 882. Let z(t) = 75*t**3 - 96*t**2 - 73*t + 98. Let p(b) = -6*g(b) + 52*z(b). Find k such that p(k) = 0.
-1, 7/6
Let q be (-3 - 2)*(7/5 + -2). Factor 24*o + 5 + 4*o**3 - 5*o**2 - 50*o + 21*o + o**q.
5*(o - 1)**2*(o + 1)
Let w be (-10)/6*(-3 + 0/6). Let n(s) = s**2 - 3*s - 10. Let d be n(w). Factor -1/6*p**4 + 1/6*p**5 + d*p**3 + 0 + 0*p**2 + 0*p.
p**4*(p - 1)/6
Let v(q) be the third derivative of q**6/200 - q**5/25 + q**4/10 + 5*q**3/3 + 8*q**2. Let i(w) be the first derivative of v(w). Factor i(b).
3*(b - 2)*(3*b - 2)/5
Let p(q) = 13*q**2 - 34*q - 6. Let f(u) = -u**2 + 2*u + 2. Let t(y) = -22*f(y) - 2*p(y). Solve t(n) = 0 for n.
2, 4
Let v(w) be the second derivative of -w**7/168 + w**6/20 - 11*w**5/80 + w**4/8 + 2*w + 14. Let v(t) = 0. Calculate t.
0, 1, 2, 3
Let q(m) = 2*m**4 - 8*m**3 + 10*m**2 - 16*m. Let o(k) = -2*k**4 + 8*k**3 - 10*k**2 + 18*k. Let y(r) = -6*o(r) - 7*q(r). Solve y(u) = 0 for u.
0, 1, 2
Factor 0*a**2 - 3*a**3 + 3/2*a**5 + 0 + 0*a**4 + 3/2*a.
3*a*(a - 1)**2*(a + 1)**2/2
Let f(i) = 2*i**2 - 64*i + 8. Let z(w) = -w + 4. Let c(x) = f(x) - 2*z(x). Factor c(g).
2*g*(g - 31)
Let m = 13 + 39. Let f be 26/117 - m/(-90). Factor -8/5*o**2 - f*o - o**3 + 0 - 1/5*o**4.
-o*(o + 1)*(o + 2)**2/5
Let q(d) = 2*d**3 - 10*d**2 - 11*d - 4. Let s be q(6). Suppose 3*r - s = 4. Solve -1/8*j**r + 1/8*j**3 + 1/4*j**4 + 0 + 0*j = 0 for j.
-1, 0, 1/2
Let h = 19 + -10. Factor h*r - 7*r**2 - 5*r**2 + 9*r**2 - 6.
-3*(r - 2)*(r - 1)
Suppose 8*w - 22 = -3*w. Let 3*x**5 + x**3 - x**4 - x**5 - 3*x**5 + x**w + 0*x**4 = 0. What is x?
-1, 0, 1
Let n(r) = r**3 - 5*r**2 - 4*r - 8. Let m be n(6). Let g(u) = 4*u**2 + 6*u + 6. Let j(q) = -5*q**2 - 5*q - 5. Let d(b) = m*j(b) + 6*g(b). What is p in d(p) = 0?
-2
Let i(x) be the third derivative of -x**5/100 - 3*x**4/10 + 13*x**3/10 + 36*x**2 - x. Suppose i(k) = 0. Calculate k.
-13, 1
Suppose -4*u = 5*i + 280, -u - 11 - 98 = 2*i. Let t be 119/(-51) + i/(-21). Determine x so that 1/7*x + 0 - t*x**2 = 0.
0, 1
Let i(z) = 2*z**2 - 26*z + 12. Let n(l) = -l**2 - l - 4. Let y(t) = -i(t) - 3*n(t). Factor y(g).
g*(g + 29)
Let t(g) be the first derivative of 7*g**6/3 - 12*g**5 + 29*g**4/2 - 4*g**3 - 50. Find k such that t(k) = 0.
0, 2/7, 1, 3
Let l(t) be the first derivative of -t**5/12 - 5*t**4/2 - 30*t**3 - 15*t**2/2 + 29. Let z(r) be the second derivative of l(r). Determine n, given that z(n) = 0.
-6
Let j(m) be the third derivative of m**8/12 + 4*m**7/7 + 4*m**6/15 - 112*m**5/15 - 24*m**4 - 64*m**3/3 - 16*m**2 + 4*m. Factor j(n).
4*(n - 2)*(n + 2)**3*(7*n + 2)
Let k = 323/7910 + -3/113. Let n(l) be the second derivative of -1/21*l**4 + 2*l + 0 + 0*l**2 - 1/21*l**3 - k*l**5. Factor n(q).
-2*q*(q + 1)**2/7
Let v(t) = -3*t + 1. Let x be v(-2). Let p = x - 5. Suppose k**3 + k**2 + k - p*k - 1 - k**4 + 1 = 0. Calculate k.
-1, 0, 1
Suppose -23 = -o + 3*t - 5, -5*t = -5*o + 70. Let u be (-3 + 2)*(1 + -3). Find j such that -22*j - 167 + 