the first derivative of k(b). Factor f(a).
-2*(a + 1)**3
Let j(i) be the second derivative of i**7/3360 - i**6/1440 - i**3/2 - 3*i. Let q(o) be the second derivative of j(o). Factor q(t).
t**2*(t - 1)/4
Let a(j) be the second derivative of -1/36*j**3 + 0*j**2 + 0 + 1/72*j**4 + 3*j. Factor a(u).
u*(u - 1)/6
Let k(b) be the first derivative of 5*b**4/4 - 5*b**3/3 - 10. Factor k(x).
5*x**2*(x - 1)
Find v, given that 3/2*v**3 + 27/2*v + 0 - 9*v**2 = 0.
0, 3
Let i(m) be the third derivative of -8*m**3 - 1/20*m**5 - 6*m**2 + m**4 + 0 + 0*m. Suppose i(j) = 0. Calculate j.
4
Let 8/17*w - 6/17 - 2/17*w**2 = 0. Calculate w.
1, 3
Let h(u) be the second derivative of 5*u**7/21 - 7*u**6/15 + u**5/5 - u. Determine g so that h(g) = 0.
0, 2/5, 1
Let f(u) be the first derivative of -u**6/11 - 18*u**5/55 - 3*u**4/11 - 13. Let f(n) = 0. Calculate n.
-2, -1, 0
Let v(u) be the second derivative of -u**5/110 + u**4/66 + 15*u. Find w, given that v(w) = 0.
0, 1
Let a be ((-18)/(-15))/(6/20). Suppose v - a = -0. Find c, given that 6*c - 5*c - 5*c**3 + v*c**3 = 0.
-1, 0, 1
Let w(c) be the second derivative of -c**6/70 - 9*c**5/140 - c**4/14 + 11*c. Solve w(b) = 0.
-2, -1, 0
Factor -2/3*t**3 + 0*t**2 + 1/3 - 1/3*t**4 + 2/3*t.
-(t - 1)*(t + 1)**3/3
Find l such that -3*l**3 - 3 - 6*l**4 - l + 194*l**2 + 4*l - 185*l**2 = 0.
-1, 1/2, 1
Let d(c) be the first derivative of -c**4/26 + c**2/13 + 10. Suppose d(a) = 0. Calculate a.
-1, 0, 1
Suppose -3*j + 0*j**2 + j**2 + j = 0. Calculate j.
0, 2
Suppose -s = -4*l - 3*s + 18, 1 = s. Let z = 121 + -603/5. Solve 4/5*t**l - 4/5*t**2 - z*t + 2/5*t**5 + 0 + 0*t**3 = 0 for t.
-1, 0, 1
Let y = 29 + -24. Suppose -p**y + 3*p**4 + 6*p**3 + p**2 - 5*p**3 - 4*p**3 = 0. What is p?
0, 1
Let l be 6/(-9)*3/(-4). Let d be 1 - 4 - -13*5/20. Factor -1/4*y**4 + 0*y - d + l*y**2 + 0*y**3.
-(y - 1)**2*(y + 1)**2/4
Let u(g) be the third derivative of -g**9/113400 + g**7/18900 + g**4/24 - 6*g**2. Let z(i) be the second derivative of u(i). Factor z(y).
-2*y**2*(y - 1)*(y + 1)/15
Let v = -39 - -39. Factor 1/2*j**2 + v - j.
j*(j - 2)/2
Suppose 0*x = -x + 4. Find y such that -x*y + 5 - y**2 + 1 - 1 - 9 = 0.
-2
Let k be (99 - -13)*(-2)/(-12). Let i = 19 - k. What is l in 1/3*l**2 + 2/3*l + i = 0?
-1
Suppose 1 - 1 = 6*v. Let m(t) be the second derivative of -1/4*t**2 + v - 3*t + 1/48*t**4 + 1/24*t**3. Factor m(c).
(c - 1)*(c + 2)/4
Let x be (-2)/9 + (-160)/(-315). Let z = 632/7 - 90. Determine n, given that z*n**2 + x*n - 4/7 = 0.
-2, 1
Let u(i) be the first derivative of i**5/15 + i**4/6 - i**3/3 - 4*i**2/3 - 4*i/3 + 2. Factor u(c).
(c - 2)*(c + 1)**2*(c + 2)/3
Let v(k) be the first derivative of -3*k**5/5 + 9*k**4/4 + k**3 - 9*k**2/2 - 22. Suppose v(y) = 0. What is y?
-1, 0, 1, 3
Let f(p) = p**2 - 6*p + 5. Let r be f(5). Factor 1/3*n**3 + 1/3*n + r - 2/3*n**2.
n*(n - 1)**2/3
Let j be -62*(-8)/(-128) - -4. Solve 3/4*z - 9/8 - j*z**2 = 0 for z.
3
Let i(h) be the first derivative of 1/4*h**3 + 1/4*h + 3 + 3/8*h**2 + 1/16*h**4. Determine y, given that i(y) = 0.
-1
Let g = -4/451 + 3620/1353. Factor 0 + g*b + 4/3*b**4 + 0*b**3 - 4*b**2.
4*b*(b - 1)**2*(b + 2)/3
Suppose -4*u + 6 = r, 2*r = -3*r - 5*u + 15. Determine n so that -n**2 + 2*n - 5*n**r + n = 0.
0, 1/2
Let h(u) be the second derivative of -3*u + 2/15*u**6 + 0 + 0*u**2 - 1/42*u**7 + 0*u**3 - 1/4*u**5 + 1/6*u**4. Factor h(z).
-z**2*(z - 2)*(z - 1)**2
Let f = -162/11 + 659/44. Suppose f*k**4 + 0 + 1/4*k + 3/4*k**3 + 3/4*k**2 = 0. Calculate k.
-1, 0
Let o = 10 + 0. Let h = -7 + o. Factor 40*f**3 + 3*f**4 - 3*f**5 - 40*f**h.
-3*f**4*(f - 1)
Let u(f) be the third derivative of 0 + 1/18*f**4 + 0*f - 1/90*f**5 + 0*f**3 + 3*f**2. Factor u(o).
-2*o*(o - 2)/3
Let o = 78 + -75. Let f(c) be the second derivative of 3*c - 7/40*c**5 + 0*c**2 + 0 + 1/72*c**4 + 1/18*c**o. Factor f(r).
-r*(3*r - 1)*(7*r + 2)/6
Let d(z) be the first derivative of 2*z**3/21 + z**2/7 - 4*z/7 - 5. Factor d(l).
2*(l - 1)*(l + 2)/7
Let c(n) be the third derivative of 0 + 0*n**4 - n**2 - 1/3*n**3 - 1/600*n**5 + 1/1800*n**6 + 0*n. Let a(k) be the first derivative of c(k). Factor a(o).
o*(o - 1)/5
Let d(s) be the first derivative of -3*s**5/5 + 3*s**4/4 + s**3 - 3*s**2/2 + 2. Solve d(w) = 0.
-1, 0, 1
Suppose -2*o + 27 = -5*m, 4*o + 5*m - 1 - 8 = 0. Let r be (-1)/o - (-4)/24. Factor 2/11*h**2 + r - 4/11*h.
2*h*(h - 2)/11
Let v(r) be the third derivative of -r**7/1365 + r**6/130 - r**5/30 + r**4/13 - 4*r**3/39 + r**2 - 36. Factor v(p).
-2*(p - 2)**2*(p - 1)**2/13
Let i be 19/(-76)*4/(-30). Let z(u) be the third derivative of 2/3*u**3 + 0 + 0*u - u**2 - i*u**5 + 1/12*u**4. Factor z(f).
-2*(f - 2)*(f + 1)
Let m be (-10)/(-105)*7 + 0. Let x(r) be the second derivative of 4/9*r**4 + r + 1/6*r**5 - m*r**2 + 1/9*r**3 + 0. Factor x(n).
2*(n + 1)**2*(5*n - 2)/3
Let l(t) be the third derivative of 1/210*t**5 + 0*t**3 - 1/105*t**6 + 0*t**4 + 0 + 0*t + 4/735*t**7 - t**2. Let l(r) = 0. Calculate r.
0, 1/2
Let v be (-11)/3 - 3/9. Let f(k) = k**3 + 4*k**2 - k - 2. Let q be f(v). Determine w, given that 1/6*w**5 + 5/3*w**q + 5/6*w + 1/6 + 5/3*w**3 + 5/6*w**4 = 0.
-1
Find k such that -3*k**3 + k**3 + 0 + 3*k**3 - 4 + 3*k**2 = 0.
-2, 1
Determine k, given that -1 - 1/3*k**2 + 4/3*k = 0.
1, 3
Let f = -1/123 + -37/492. Let s = 1/4 - f. Determine a so that 0 + 2/3*a**4 + 1/3*a - 2/3*a**2 + 0*a**3 - s*a**5 = 0.
-1, 0, 1
Suppose 29 = 4*p + 9. Suppose -4 = -4*o + o - 4*k, p*k = -o + 5. Suppose o - 7/6*c**2 - 1/3*c = 0. What is c?
-2/7, 0
Let y(b) = 4*b**2 + b. Let t be y(2). Find j such that t + 1 - 112*j + 2 + 98*j**2 + 11 = 0.
4/7
Let b = -5798 + 23417/4. Let d = b - 56. Factor -d*h**4 - 1/4 - h - h**3 - 3/2*h**2.
-(h + 1)**4/4
Suppose -3*l - 12 = -4*l. Suppose 5*x - l = 2*x. Factor -r**3 - 1/2*r**x + 1/2*r**2 + r + 0.
-r*(r - 1)*(r + 1)*(r + 2)/2
Let u be (6/10)/3*(-25)/(-20). Let 1/4*k + 0 + 0*k**2 - u*k**3 = 0. What is k?
-1, 0, 1
Let f(b) be the third derivative of 0*b**3 + 0*b + 1/12*b**4 + 1/60*b**5 - 3*b**2 + 0 - 1/120*b**6. Factor f(c).
-c*(c - 2)*(c + 1)
Let v be (-2)/(-8) + 21/12. Let q be v/(-6)*(-1 - 14). Let -3/2*x**q + 0*x + 0*x**2 + 5/2*x**4 - x**3 + 0 = 0. Calculate x.
0, 2/3, 1
Let k = 493/3 - 163. What is f in 2/3*f**3 + k*f + 0 + 2*f**2 = 0?
-2, -1, 0
Let h = 109 + -325/3. Factor 2/3*j**5 + 0 + 2/3*j**2 + 0*j - 2/3*j**3 - h*j**4.
2*j**2*(j - 1)**2*(j + 1)/3
Let y be 3/(48/20) - 1/(-4). Factor -1/2 - c**2 - y*c.
-(c + 1)*(2*c + 1)/2
Let h(a) be the second derivative of 5*a + 1/5*a**5 - 1/15*a**6 + 0*a**3 + 0*a**2 - 1/6*a**4 + 0. Factor h(u).
-2*u**2*(u - 1)**2
Let n(u) = -u. Let p be n(-9). Suppose o + 6 = 3*i, -3*o + p = -2*o + 2*i. What is w in -2*w**4 + 5*w**2 - 2*w**o - 5*w**2 = 0?
-1, 0
Let u = 28 + -24. Let r(p) be the first derivative of 1/5*p**5 + 0*p + 0*p**2 + 1 + 0*p**u + 0*p**3. Factor r(s).
s**4
Let t(o) = o**2 + 4*o. Let l be t(-3). Let p(h) = -h**2 - h + 6. Let n be p(l). Factor n + s**2 + 1/2*s.
s*(2*s + 1)/2
Let q = 446 - 1337/3. Factor -1/3*f + q*f**2 - 2/3.
(f - 2)*(f + 1)/3
Suppose -5*f + 2*f + 9 = 0. Factor -2*l**5 + 4*l**4 + 0*l**4 + 9*l**f - 11*l**3.
-2*l**3*(l - 1)**2
Factor -9/5 - 6*v - 21/5*v**2.
-3*(v + 1)*(7*v + 3)/5
Suppose 8*z + z**2 - 15 + 15 - 9 = 0. What is z?
-9, 1
Let h(t) = -2*t**5 - t**4 - 9*t**3 + 6*t + 6. Let k(p) = -p**4 + p**3 - p - 1. Let r(j) = h(j) + 6*k(j). Factor r(m).
-m**3*(m + 3)*(2*m + 1)
Let z(q) = 7*q**2 + 2*q + 7*q**2 - 2*q**3 - 16*q**2. Let a be z(-2). Let -14*s**5 - 22/5*s**2 + 32/5*s - 202/5*s**a - 178/5*s**3 + 8/5 = 0. Calculate s.
-1, -2/7, 2/5
Factor 4*v**5 - 10*v**3 - 7 + 32*v**2 - 28*v + 2*v**3 - 8*v**4 + 15.
4*(v - 1)**4*(v + 2)
Suppose 0 = 3*t - 5*i + 39 - 98, 3*i - 29 = -t. Suppose -4*f + 4 = 5*d - t, 0 = f - 2*d + 3. Suppose 0 - 4/9*l**2 + 0*l + 2/3*l**f - 2/9*l**4 = 0. Calculate l.
0, 1, 2
Let v(b) be the second derivative of -b**7/357 - 4*b**6/255 - 3*b**5/85 - 2*b**4/51 - b**3/51 + 22*b. Find q, given that v(q) = 0.
-1, 0
Let f(u) = 13*u**2 - 8*u - 48. Let k(z) = 6*z**2 - 4*z - 24. Let o(r) = 2*f(r) - 5*k(r). Let o(q) = 0. What is q?
-2, 3
Suppose -2*j - 2*s - 3 = -25, -5*s = -20. Factor 6*t + 3*t + 4 - j - 3*t**3 - 3.
-3*(t - 1)**2*(t + 2)
Determine l, given that 2/5 + 1/5*l**3 + 4/5*l**2 + l = 0.
-2, -1
Let l(c) = -c**5 - c**4 + c**2 + c. Let u(z) = 7*z**5 + 5*z**4 - 2*z**3 - 6*z