*7/210 - 13*p**6/60 + 47*p**5/30 - 73*p**4/24 + 5*p**3/2 + 449*p**2. Solve z(s) = 0 for s.
-3, 1/3, 1, 5
Let x(z) be the second derivative of 5*z**5/18 + 35*z**4/27 + 44*z**3/27 + 8*z**2/9 + 30*z - 1. Let x(f) = 0. Calculate f.
-2, -2/5
Let t(c) be the third derivative of 0*c**4 + 0*c + 1/12*c**5 - 6*c**2 + 0*c**3 - 1/24*c**6 + 0. Factor t(n).
-5*n**2*(n - 1)
Let a(z) = 201*z**4 + 3042*z**3 - 1445*z**2 - 1547*z - 251. Let o(x) = -x**4 + 2*x**3 + x**2 - x - 1. Let w(t) = a(t) + 5*o(t). Find c, given that w(c) = 0.
-16, -2/7, 1
Let v = 498/95 - 92/19. Let g**4 + 11/5*g + 17/5*g**3 + v + 21/5*g**2 = 0. What is g?
-1, -2/5
Let n(g) be the third derivative of g**7/2100 + g**6/225 + g**5/300 - g**4/10 - 25*g**3/6 + 27*g**2. Let r(a) be the first derivative of n(a). Factor r(m).
2*(m - 1)*(m + 2)*(m + 3)/5
Solve 0 + 2/3*t**3 + 10*t**2 - 32/3*t = 0.
-16, 0, 1
Let a = -44 - -44. Let f(w) be the third derivative of a + 2*w**2 + 1/42*w**4 - 1/21*w**3 + 0*w - 1/210*w**5. Solve f(k) = 0.
1
Let j(b) be the third derivative of -2*b**7/105 - 2*b**6/15 - b**5/5 + 2*b**4/3 + 8*b**3/3 - 6*b**2 - 3*b. What is u in j(u) = 0?
-2, -1, 1
Let x(y) = -5*y**2 + 18*y - 3. Let j be x(4). Let z be (-2)/j - (6/3 + -2). Find n such that 6/11*n - 4/11 - z*n**2 = 0.
1, 2
Let i(z) be the second derivative of 10/3*z**2 + 40/9*z**3 + 35/36*z**4 + 0 + 8*z. Find o such that i(o) = 0.
-2, -2/7
Let o = 5 - 1. Suppose 0 = -4*g + 4*u + u + 7, o*u - 10 = -2*g. Suppose -4*p**2 + p**g + p**2 + 2*p**2 = 0. What is p?
0, 1
Let w(i) be the first derivative of -5 - 8/5*i**2 - 32/5*i - 2/15*i**3. Factor w(a).
-2*(a + 4)**2/5
Let t = 665/6 - 221/2. Let i(k) be the second derivative of 0*k**2 + 0 - 2/3*k**3 - 4*k - t*k**4 + 2/15*k**6 + 1/5*k**5. Determine b, given that i(b) = 0.
-1, 0, 1
Let b(f) be the third derivative of f**6/360 + f**5/6 - 7*f**4/8 + 16*f**3/9 - 2*f**2 - 7. Factor b(v).
(v - 1)**2*(v + 32)/3
Let j(p) = p**4 + p**3 - 1. Let w(d) = 10*d**4 - 7*d**3 - 11*d**2 + 6*d - 5. Let y(x) = 5*j(x) - w(x). Suppose y(r) = 0. What is r?
-1, 0, 2/5, 3
Let l(s) be the third derivative of s**5/45 - 2*s**4/9 - 14*s**3/3 - 94*s**2. Factor l(x).
4*(x - 7)*(x + 3)/3
Let m(v) = v**2 - 13*v + 36. Let c be m(9). Let p = -3 - -7. Factor 6*d**4 + c*d**p + 2*d**3 - d**3 - 5*d**4.
d**3*(d + 1)
Factor -6 + 86 - 13 + 53 - 134999*m + 135045*m + 2*m**2.
2*(m + 3)*(m + 20)
Suppose 14 + 92/3*v + 4/3*v**3 + 56/3*v**2 - 2/3*v**4 = 0. What is v?
-3, -1, 7
Let k(z) be the second derivative of -35*z + 1/10*z**5 + 0 - 7*z**2 + 7/6*z**4 - 1/3*z**3. Let k(n) = 0. What is n?
-7, -1, 1
Let w(n) = -n**3 - 13*n**2 + 15*n + 17. Suppose -48 - 8 = 4*d. Let s be w(d). Factor 3*j**2 + s*j - 3 - 3*j + 0*j.
3*(j - 1)*(j + 1)
Suppose 44*n - 68 = 108. Let k(z) be the third derivative of 0*z + 1/12*z**n + 0 - 1/6*z**3 - 4*z**2 - 1/60*z**5. Find u, given that k(u) = 0.
1
Let p(i) be the third derivative of -i**8/40320 + i**7/5040 - i**6/1440 + i**5/60 - 6*i**2. Let s(j) be the third derivative of p(j). Factor s(l).
-(l - 1)**2/2
Let g = 1 - 3. Let i be (7 + g)/(10/4). Determine o, given that -1/2*o - 1/4*o**i + 1/4*o**3 + 0 = 0.
-1, 0, 2
Suppose 3*h - 17 = -2*x, 0*x + 2 = h - 3*x. Suppose -5 = -h*t - 5*d, -2*d = 5*t - 4*d - 19. Solve -3/2 - t*a**2 + 3/4*a**3 + 15/4*a = 0 for a.
1, 2
Let k(i) be the first derivative of 2*i**7/21 - 2*i**6/15 + 4*i**5/75 + 11*i**2/2 - 7. Let y(s) be the second derivative of k(s). What is x in y(x) = 0?
0, 2/5
Let h(u) = -u**3 + 22*u**2 - 8*u**2 - 5*u**2 + 12*u - u**2 - 22. Let c be h(9). Solve 1/5*y**2 + 0*y + 0 + 3/5*y**4 + 1/5*y**c + 3/5*y**3 = 0 for y.
-1, 0
Let w(u) = 3*u**3. Let a(p) = -p**3 - 9*p**2 - 9*p - 7. Let c be a(-8). Let d be w(c). Suppose -6*h**4 + 4*h**2 + h**2 + d*h**3 - 2*h**2 = 0. Calculate h.
-1/2, 0, 1
Let i(y) be the first derivative of 2*y + 3/2*y**2 - 5 + 1/3*y**3. Factor i(t).
(t + 1)*(t + 2)
What is p in 44*p**3 - 30*p**4 + 108*p**2 + 32*p**2 + 59*p**4 - 25*p**4 + 100*p = 0?
-5, -1, 0
Let u(n) be the first derivative of n**5/140 + n**4/21 + 5*n**3/42 + n**2/7 + 9*n - 29. Let o(q) be the first derivative of u(q). Factor o(d).
(d + 1)**2*(d + 2)/7
Let l be -3 + 36274/2880 - 4/(-18). Let i = l - 5/288. Solve 4/5*b + 0 + 21/5*b**3 + 24/5*b**2 - i*b**4 = 0 for b.
-2/7, 0, 1
Let n be (-837)/3252 + 3/(-24)*-2. Let s = n - -556/1897. Factor s*b**4 + 0 + 2/7*b**5 - 4/7*b**3 + 0*b + 0*b**2.
2*b**3*(b - 1)*(b + 2)/7
Let v(t) = 7*t**2 + 34*t - 11. Let p be v(-5). Let l be p - (1728/30)/(-9). Find y, given that 0 - 4/5*y**3 - l*y - 6/5*y**2 = 0.
-1, -1/2, 0
Let h(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 4/5*l**5 + 29*l - 2/15*l**6 - l**4. Let h(z) = 0. What is z?
-3, -1, 0
Let o(f) be the first derivative of -f**6/9 - 4*f**5/15 + 13*f**4/2 - 136*f**3/9 + 32*f**2/3 + 348. Let o(h) = 0. What is h?
-8, 0, 1, 4
Factor -2*v**2 - 14 - 18*v**3 + 23*v + 19*v**3 + 4*v**2 - 12*v**2.
(v - 7)*(v - 2)*(v - 1)
Determine v, given that 0 + 8/3*v**3 - 20/3*v**2 + 4/9*v**4 + 32/9*v = 0.
-8, 0, 1
Let n(j) be the third derivative of 6*j**2 + 0*j - 1/285*j**5 + 0 + 0*j**3 - 1/76*j**4 + 1/1140*j**6. Solve n(k) = 0 for k.
-1, 0, 3
Factor 139 - 40*r**3 + 87 - 5*r**5 + 30*r**4 - 246 + 45*r - 10*r**2.
-5*(r - 4)*(r - 1)**3*(r + 1)
Let x be ((-40)/(-55))/(22/121). Factor 1/6*o**x - 1/6*o**3 + 0*o + 0 + 0*o**2.
o**3*(o - 1)/6
Let s(w) = 3*w + 14. Let g = 126 + -130. Let u be s(g). Determine q, given that 4/5 - 4/5*q**3 + 4/5*q - 4/5*q**u = 0.
-1, 1
Let b(y) be the first derivative of 8*y**5/15 + 461*y**4/3 + 106720*y**3/9 + 26450*y**2/3 + 540. Find v such that b(v) = 0.
-115, -1/2, 0
Let n be (-2)/(-12) + (-116)/(-24). Suppose 8*t - n*t = 6. Factor 2*f + f**t - 2*f + 0*f - f**3.
-f**2*(f - 1)
Let q(i) = -i**3 + i**2 + 2. Let z(h) = 2*h**3 + 2*h - 12. Let x(c) = 4*q(c) + z(c). Find s such that x(s) = 0.
-1, 1, 2
Let k(q) = 13*q**2 + 5*q + 0*q - 6*q - q + q**3 - 25. Let u be k(-13). Factor u - 3/2*z + 1/2*z**2.
(z - 2)*(z - 1)/2
Let y(k) be the first derivative of 3*k**5/5 - 3*k**4/2 - 4*k**3 + 3*k**2 + 9*k + 111. Factor y(w).
3*(w - 3)*(w - 1)*(w + 1)**2
Let u be (-34)/(-3)*(-3)/(-2). Factor -5*w**4 - 5*w**5 - u*w + 5*w**2 + 17*w + 5*w**3.
-5*w**2*(w - 1)*(w + 1)**2
Let k be ((-2)/(-25))/((-14)/(-770)). Factor c**2 + 8/5 - k*c.
(c - 4)*(5*c - 2)/5
Suppose 8*y = 12*y - 12. Factor -12*r**2 + 2*r**3 - 8*r - 38*r**y - 32*r**2.
-4*r*(r + 1)*(9*r + 2)
Let l = -108 + 106. Let b(y) = -3*y**3 + 4*y**2 - 4*y - 2. Let n(f) = 7*f**3 - 8*f**2 + 2*f - f + 5 + 7*f. Let q(r) = l*n(r) - 5*b(r). Factor q(j).
j*(j - 2)**2
Let j(p) be the third derivative of -p**7/1575 - 3*p**6/100 - 109*p**5/225 - 8*p**4/3 - 32*p**3/5 + 504*p**2. Let j(r) = 0. What is r?
-12, -2, -1
Suppose 2*x - 4*x - 2*i = 26, -3*x - 2*i - 35 = 0. Let z be (-14)/(-12)*(0 - x/63). Factor -1/6*h + 0 - z*h**2.
-h*(h + 1)/6
Let h(c) be the second derivative of -c**5/210 + c**4/28 - 2*c**3/21 + 17*c**2/2 - 13*c. Let i(y) be the first derivative of h(y). Find o, given that i(o) = 0.
1, 2
Let k(g) be the second derivative of g**5/40 + 5*g**4/8 + 9*g**3/4 + 13*g**2/4 + 3*g + 3. Solve k(j) = 0.
-13, -1
Let z(f) be the second derivative of -f**6/15 + f**5/5 - 33*f. Factor z(p).
-2*p**3*(p - 2)
Let g = -2362 + 16536/7. Solve -g*i**4 - 2/7*i**5 - 2/7 + 4/7*i**3 - 2/7*i + 4/7*i**2 = 0.
-1, 1
Suppose -r + 13 = -2*r - 5*k, -4*k - 16 = -2*r. Let n = r + 2. Determine b, given that 20*b**2 - 16*b - 12*b**2 - n*b**2 + 16 = 0.
2
Let y(s) = s - 3. Let b be y(5). Suppose -3*p - b*o = -8, -16 = 3*p - 2*o - 2*o. Factor -k**2 + p - k - 3*k - 6 + 3.
-(k + 1)*(k + 3)
Suppose 7*j - 5*x - 345 = 2*j, 5*j + 5*x - 365 = 0. Let n = 71 - j. Factor n + 1/7*o**4 + 1/7*o + 3/7*o**3 + 3/7*o**2.
o*(o + 1)**3/7
Suppose -50 - 25*d**4 - 41 + 265*d**3 - 429*d**2 - 9 - 460*d - 35*d**3 = 0. Calculate d.
-2/5, 5
Let q = 1436 + -1433. Let p(a) be the first derivative of -2*a - q - 1/6*a**3 + a**2. Suppose p(w) = 0. Calculate w.
2
Suppose 97 = 97*v - 97. Find s such that -4/9*s + 0 + 10/9*s**4 - 8/3*s**3 + v*s**2 = 0.
0, 2/5, 1
Let c(z) be the second derivative of z**10/241920 + z**9/30240 + z**8/13440 - 17*z**4/12 + 17*z. Let b(r) be the third derivative of c(r). Factor b(x).
x**3*(x + 2)**2/8
Let q(f) be the first derivative of -f**7/5880 + f**6/2520 + 34*f**3/3 + 18. Let x(g) be the third deriva