 + 16/9*c.
2*(c + 3)*(3*c - 1)/9
Let w = 33 - 23. Suppose 0 = -w*o + 11*o. Factor o + 3/4*z**2 + 3/4*z**3 + 0*z.
3*z**2*(z + 1)/4
Let q(i) = 2*i**2 - 26*i + 3. Let m = -65 - -78. Let h be q(m). Solve 1/2*c**4 + 48*c**2 - 128*c + 128 - 8*c**h = 0.
4
Suppose -10 - 3*k + 219*k**2 + 20 - 220*k**2 = 0. Calculate k.
-5, 2
Let f(l) be the third derivative of 5/4*l**4 + 41/42*l**7 + 0*l**3 - 5/12*l**5 - 4/3*l**6 + 0*l - 25/168*l**8 + 17*l**2 + 0. Let f(c) = 0. What is c?
-2/5, 0, 1/2, 1, 3
Let d be (-4)/(-12)*9/(-6) + 798/252. Determine k, given that -2*k + d - 2/3*k**2 = 0.
-4, 1
Let b(k) = -k**2 - 178*k - 1521. Let n be b(-9). Solve n - 4/7*g**3 + 16/7*g + 12/7*g**2 = 0.
-1, 0, 4
What is q in 0*q + 2/15*q**3 + 0 + 2/5*q**2 = 0?
-3, 0
Let c(z) be the first derivative of -2*z - 27/2*z**3 - 8*z**2 + 17 - 47/10*z**5 - 3/4*z**6 - 91/8*z**4. Find p such that c(p) = 0.
-2, -1, -2/9
Let v(l) be the third derivative of l**8/1176 - 11*l**7/735 + 43*l**6/420 - 73*l**5/210 + 2*l**4/3 - 16*l**3/21 + 302*l**2. Factor v(j).
2*(j - 4)**2*(j - 1)**3/7
Determine j, given that 0 + 3/4*j**2 + 0*j**3 + 0*j - 3/4*j**4 = 0.
-1, 0, 1
Suppose 0*p + 31 = 3*s + 4*p, -5*p + 45 = 5*s. Let s*a**2 + 1076 - 1076 = 0. What is a?
0
Let t(a) = 16*a**2 + 30*a - 59. Let l(s) = 7*s**2 + 15*s - 30. Let g(q) = 9*l(q) - 4*t(q). Let v be g(12). Factor -20 - 4/5*k**v + 8*k.
-4*(k - 5)**2/5
Let q(n) be the second derivative of n**7/294 + 4*n**6/105 + 3*n**5/20 + 3*n**4/14 - 36*n. What is h in q(h) = 0?
-3, -2, 0
Let n(f) be the third derivative of 0*f - 338/25*f**5 + 26/75*f**6 + 0 - 2/525*f**7 + 35*f**2 + 4394/15*f**4 - 57122/15*f**3. Suppose n(a) = 0. Calculate a.
13
Let 63 + 75/2*c - 24*c**2 + 3/2*c**3 = 0. Calculate c.
-1, 3, 14
Let s(r) be the second derivative of r**7/70 - r**6/20 + 31*r**2/2 + 24*r. Let j(i) be the first derivative of s(i). Solve j(k) = 0 for k.
0, 2
Factor -64*o**3 + 977*o**2 + 108 + 28*o**2 - 996*o + 128*o + 530*o**2 + 225*o**2.
-4*(o - 27)*(4*o - 1)**2
Let m be (-1)/((-66)/8 - -7). Solve 0 + 0*s - 12/5*s**3 - m*s**2 + 7/5*s**4 = 0.
-2/7, 0, 2
Let a(y) be the third derivative of -1/96*y**4 + 0*y - 1/120*y**5 - 1/480*y**6 + 0 + 0*y**3 + 21*y**2. Factor a(k).
-k*(k + 1)**2/4
Let r(o) be the second derivative of -o**6/15 + o**5/2 - 7*o**4/6 + o**3 - 62*o + 2. Solve r(q) = 0 for q.
0, 1, 3
Let z(p) = p - 5. Let u(v) = 1. Let f(i) = -2*u(i) - z(i). Let q be f(1). Factor 0*k**q + 2/3*k**5 + 2/3*k**3 + 0*k - 4/3*k**4 + 0.
2*k**3*(k - 1)**2/3
Let y(h) be the third derivative of h**8/420 - h**7/105 - 5*h**3/6 - 13*h**2. Let a(q) be the first derivative of y(q). Suppose a(p) = 0. What is p?
0, 2
Let s(i) be the first derivative of -4 + i**2 - 2/9*i**3 + 0*i - 1/360*i**6 + 1/60*i**5 + 0*i**4. Let f(b) be the second derivative of s(b). Factor f(r).
-(r - 2)**2*(r + 1)/3
Let i(g) be the third derivative of g**8/588 - 2*g**7/735 - 3*g**6/70 - 11*g**5/105 - 2*g**4/21 - 54*g**2 - 5. Factor i(m).
4*m*(m - 4)*(m + 1)**3/7
Let w(h) be the first derivative of 2*h**5 + 0*h**2 + 18 + 0*h - 7/2*h**4 + 4/3*h**3. Determine j, given that w(j) = 0.
0, 2/5, 1
Suppose -9 = -3*k - 3. Suppose w - 10*w**k + 2*w**3 + 4*w**2 + 8 - w = 0. What is w?
-1, 2
Let b(x) be the third derivative of -2*x**7/105 - 13*x**6/30 - 100*x**2 + 1. Let b(p) = 0. Calculate p.
-13, 0
Let a = 21 - 23. Let t be -2*a/4 - -1. Factor -b**t + 2*b + 0 - 6 + 0*b + 5.
-(b - 1)**2
Let i = -4/319 + 335/1276. Let i*a**2 - 1/2*a + 1/4 = 0. Calculate a.
1
Suppose -4*l = -0*l - 12. Suppose -l*q = -0*q. What is n in -n + 1/2*n**2 + q = 0?
0, 2
Let t = 5626 - 16877/3. Determine z, given that -t*z**4 + 0 + 0*z - z**2 + 4/3*z**3 = 0.
0, 1, 3
Let s(t) = 20*t**3 + 300*t**2 - 4*t - 58. Let j be s(-15). Solve 2/7*o**5 + 8/7*o**j + 2/7*o + 12/7*o**3 + 0 + 8/7*o**4 = 0.
-1, 0
Let o = 7301 + -7298. Factor -8*z - 6*z**2 - 4/3*z**o - 8/3.
-2*(z + 2)**2*(2*z + 1)/3
Let v(c) be the second derivative of 0*c**2 + 0 - 1/54*c**3 + 1/180*c**5 + 1/270*c**6 + 14*c - 1/108*c**4. Factor v(z).
z*(z - 1)*(z + 1)**2/9
Let v(c) be the second derivative of c**5/160 + c**4/96 + 80*c. Factor v(p).
p**2*(p + 1)/8
Let i(o) be the second derivative of -o**7/210 - o**6/120 + o**5/60 + o**4/24 + 4*o**2 + 2*o. Let y(m) be the first derivative of i(m). Factor y(x).
-x*(x - 1)*(x + 1)**2
Suppose 4*m + 23 - 99 = 0. Suppose 8*k + 15*k**4 - 24*k**2 - 40*k**3 + 4*k + m*k**3 + 0*k**3 = 0. What is k?
-1, 0, 2/5, 2
Suppose 23*i = -46*i + 276. Let z(p) be the second derivative of -7/15*p**3 - 1/6*p**i + 0 + 3*p - 2/5*p**2. Let z(r) = 0. Calculate r.
-1, -2/5
Let r(b) be the third derivative of -1/10*b**6 + 7/24*b**4 + 0*b + 0 + b**3 + 13*b**2 - 11/60*b**5. Factor r(k).
-(k + 1)*(3*k + 2)*(4*k - 3)
Suppose -5*j + 27 = 3*i - 2*i, -2*i - 2*j + 14 = 0. Let d = 1217/154 + -155/22. Determine h, given that -2/7*h**i - 4/7 + d*h = 0.
1, 2
Let z(k) = -k**3 + 26*k**2 - 37*k + 300. Let w be z(25). Factor q**3 + 1/2*q + 5/4*q**2 + 1/4*q**4 + w.
q*(q + 1)**2*(q + 2)/4
Factor 4/5*m**4 + 3192/5*m**2 + 22736/5*m + 10976 + 188/5*m**3.
4*(m + 5)*(m + 14)**3/5
Suppose 3*d + 2*c = -547, -28*c + 748 = -4*d - 26*c. Let l = d + 190. Factor 1/2*n**l + 1/2*n**3 - n + 0 - 3/2*n**2 + 3/2*n**4.
n*(n - 1)*(n + 1)**2*(n + 2)/2
Let v = 2 + 2. Suppose 0 = 4*t - 16 + v. Factor -3*b**t + 0*b**3 - 2*b**4 + 5*b**3 + b**4.
-b**3*(b - 2)
Let b(r) be the first derivative of r**6/54 + 8*r**5/45 + 5*r**4/36 - 50*r**3/27 - 126. Determine w, given that b(w) = 0.
-5, 0, 2
Let c(j) be the second derivative of 0*j**2 + 0 - 3/2*j**3 - 1/30*j**5 - 9*j + 1/4*j**4 - 1/180*j**6. Let b(v) be the second derivative of c(v). Factor b(s).
-2*(s - 1)*(s + 3)
What is c in -25360*c**3 - 134216*c**2 + 27828 - 44629 - 36*c**5 - 48735 - 1680*c**4 + 184320*c + 22856*c**2 = 0?
-16, 2/3
Let d(h) be the first derivative of 2*h**6/15 + 2*h**5 + 12*h**4 + 36*h**3 + 54*h**2 + 31*h + 21. Let b(u) be the first derivative of d(u). Solve b(f) = 0.
-3, -1
Suppose -3*z = -6*z + 18. Let b be 96/(-20)*(-20)/z. Factor -17*l - 17*l - 16 - 2*l**3 - b*l**2 + 10*l + 4*l**2.
-2*(l + 2)**3
Let i(d) = -28*d**2 - 1380*d + 1381. Let t(r) = -13*r**2 - 690*r + 691. Let s(h) = -4*i(h) + 9*t(h). Factor s(y).
-5*(y - 1)*(y + 139)
Let i(l) be the first derivative of 0*l - 35/4*l**4 + l**5 - 25/2*l**2 + 55/3*l**3 - 1. Factor i(v).
5*v*(v - 5)*(v - 1)**2
Solve -90/7 + 2/7*y**2 - 8/7*y = 0.
-5, 9
Let o(t) be the third derivative of 0*t + 0*t**3 + 0 + 1/180*t**5 + 3*t**2 - 1/630*t**7 + 0*t**4 + 0*t**6. Factor o(b).
-b**2*(b - 1)*(b + 1)/3
Factor 8/7 + 24/7*t + 12/7*t**3 + 2/7*t**4 + 26/7*t**2.
2*(t + 1)**2*(t + 2)**2/7
Suppose -22/7*f + 23/7 - 1/7*f**2 = 0. Calculate f.
-23, 1
Let p be (-252)/14*(-2 + 1)/32. Let d(y) be the second derivative of -5*y + 1/8*y**3 - 1/96*y**4 - p*y**2 + 0. Find l such that d(l) = 0.
3
Solve -8*o**3 - 8 + 4*o**2 + 7/2*o**4 + 8*o - 1/2*o**5 = 0.
-1, 2
Let y = -1334 + 1337. Let r(q) be the third derivative of 0 + 5/12*q**5 - 1/24*q**6 + 10/3*q**y - 5/3*q**4 - 2*q**2 + 0*q. Factor r(x).
-5*(x - 2)**2*(x - 1)
Let r(h) be the third derivative of 0*h**4 - 1/420*h**8 + 1/1050*h**7 + 11*h**2 - 1/300*h**5 + 0*h**3 + 1/150*h**6 + 0*h + 0. Let r(c) = 0. Calculate c.
-1, 0, 1/4, 1
Let a(g) be the third derivative of -g**6/40 - g**5/2 - 13*g**4/8 + 12*g**3 - 212*g**2. Find d such that a(d) = 0.
-8, -3, 1
Let b = -398 - -400. Let p(n) be the third derivative of 0 - 1/36*n**4 + 0*n**3 + 4*n**b + 0*n + 1/60*n**5 - 1/360*n**6. Find g such that p(g) = 0.
0, 1, 2
Suppose 47*y - 12 = 41*y. Let f(a) be the first derivative of 0*a + 0*a**y + 6 + 1/3*a**3. Determine v, given that f(v) = 0.
0
Let i be 3/(-2)*1*(-34)/3. What is c in -16*c**2 + c + i*c**2 - 10 + 4 - 2*c = 0?
-2, 3
Let d(u) be the second derivative of -u**5/120 - u**4/12 - u**2 + 30*u. Let f(b) be the first derivative of d(b). Factor f(s).
-s*(s + 4)/2
Let v = 16/7 + -11/14. Let r be (-522)/(-108) + 2/12. Solve 0*f + v*f**r + 0 + 3/2*f**4 - 3/2*f**3 - 3/2*f**2 = 0.
-1, 0, 1
Let r(y) be the third derivative of y**5/180 + 5*y**4/18 + 19*y**3/18 - 5*y**2. Factor r(v).
(v + 1)*(v + 19)/3
Suppose -48 = -6*d - 18. Let c(p) be the second derivative of -1/130*p**d + 2*p + 0 + 0*p**2 - 1/39*p**3 + 1/39*p**4. Factor c(g).
-2*g*(g - 1)**2/13
Find k such that -8*k**2 + 0 + 16/3*k + 2*k**4 + 1/3*k**5 + 1/3*k**3 = 0.