 first derivative of 3/8*y**2 - i*y - 1/24*y**6 + 3/20*y**5 - 1/6*y**3 + 3 - 1/8*y**4. Let b(l) = 0. What is l?
-1, 1
Let q be 24/14 - 4/(-14). Factor r**q + 1 - r**2 + 2*r - r**2 + 2*r**2.
(r + 1)**2
Let k(x) = -x**4 - x**3 + x. Let p(c) = -5*c**4 + 34*c**3 - 21*c**2 - 16*c + 12. Let n(f) = -4*k(f) - p(f). Factor n(o).
3*(o - 2)*(o - 1)**2*(3*o + 2)
Let k(y) be the first derivative of -y**3/18 - 11*y**2/12 - 3*y + 56. Factor k(m).
-(m + 2)*(m + 9)/6
Let j(n) = n**3 + 6*n**2 + 4*n + 5. Let t be j(-5). Let b = 22 + t. Find z, given that 4*z + 12*z - b*z**2 - 3 + 1 = 0.
1/4
Let h(f) = f**3 + 3*f**2 - f - 1. Let c be h(-3). Suppose b = 9 - c. Factor 4*n - 5 - n + b + n**2.
(n + 1)*(n + 2)
Let a(s) be the third derivative of s**8/120960 - s**7/30240 + s**5/15 + 3*s**2. Let y(o) be the third derivative of a(o). Factor y(h).
h*(h - 1)/6
Let i be (-13)/(-143) + 7/165. Let m(z) be the second derivative of i*z**3 + z + 1/75*z**6 + 0*z**2 - 1/30*z**4 + 0 - 1/25*z**5. Determine c so that m(c) = 0.
-1, 0, 1, 2
Let l(x) be the first derivative of x**6/6 + 2*x**5/5 + 2. Factor l(a).
a**4*(a + 2)
Suppose -5*u = -4 - 11. Suppose 3 = -u*j, 3*j = 5*x - j - 24. Let -2*b - x*b**2 - b**3 - b**2 + b**2 - 2*b = 0. What is b?
-2, 0
Let l(x) be the first derivative of 3*x**4/22 - 2*x**3/33 + 4*x + 7. Let o(y) be the first derivative of l(y). Suppose o(i) = 0. Calculate i.
0, 2/9
Suppose 0 = 3*b + f - 9, 81*b = 83*b + 2*f - 6. Let -2/9*m**5 + 0 + 2/3*m**b - 2/9*m**4 - 4/9*m + 2/9*m**2 = 0. What is m?
-2, -1, 0, 1
Let c(x) be the second derivative of -x**3/3 - 3*x**2 - 2*x. Let n be c(-5). Determine z so that -14/3*z**3 + 0 + 8/3*z**n + 2/3*z + 4/3*z**2 = 0.
-1/4, 0, 1
Suppose -5*z + 5 = -5. Find w such that 2/3*w**3 + z*w**2 + 2/3 + 2*w = 0.
-1
Let w(q) = 13*q**5 + q**4 - 5*q**3 + 9*q**2. Let j(z) = 6*z**5 - 2*z**3 + 4*z**2. Let u(s) = 9*j(s) - 4*w(s). Determine d, given that u(d) = 0.
0, 1
Suppose -2 - 2/5*u**2 + 12/5*u = 0. What is u?
1, 5
Let -2/3 + 4/3*o**2 - 2/3*o = 0. What is o?
-1/2, 1
Let m(l) be the third derivative of 0*l**3 + 1/300*l**6 - 1/60*l**4 + 0*l + 4*l**2 + 0 + 0*l**5. Determine s so that m(s) = 0.
-1, 0, 1
Let v be (-682)/55 - (-2)/5. Let m be (-22)/(-6) + (-4)/v. Find o such that 4/5*o**3 + 2/5 - 6/5*o**m + 4/5*o**2 - 6/5*o + 2/5*o**5 = 0.
-1, 1
Let n(h) be the third derivative of -1/60*h**5 - 6*h**2 + 0 + 0*h**4 - 7/240*h**6 + 0*h**3 - 1/84*h**7 + 0*h. Determine m, given that n(m) = 0.
-1, -2/5, 0
Let c(f) be the third derivative of f**5/60 + f**4/4 + 3*f**3/2 - 8*f**2. Factor c(q).
(q + 3)**2
Let z be 4/22*(-352)/(-160). Suppose -2/5*w**3 + 2/5*w**2 - z + 2/5*w = 0. What is w?
-1, 1
Factor -12*y**2 - 3*y**3 - 21/2*y + 3/2*y**5 - 3 + 3*y**4.
3*(y - 2)*(y + 1)**4/2
Let a(c) be the second derivative of c**6/30 + c**5/18 + c**4/36 + 4*c**2 + 4*c. Let s(t) be the first derivative of a(t). What is j in s(j) = 0?
-1/2, -1/3, 0
Suppose -2*i + 4*i = 6. Let c(j) be the first derivative of -j + 1/3*j**i + 1/4*j**4 - 1 - 1/2*j**2. Find t such that c(t) = 0.
-1, 1
Let d(s) = -s + 4. Let u be d(4). Let 2*k**5 + u*k**3 - k**4 + 2*k**3 + k**4 + 4*k**4 = 0. What is k?
-1, 0
Let x(v) be the first derivative of 3*v**4/4 + 2*v**3/3 - v**2 + v - 2. Let s be x(1). Let -7*u**3 + u**3 + 3*u + 8*u**2 + 2*u**s - 2*u**2 - 5*u = 0. What is u?
0, 1
Let q(c) be the third derivative of 0*c + 0 + 9/160*c**6 + 0*c**4 + 0*c**3 - 1/40*c**5 - 2*c**2 - 1/40*c**7. Factor q(z).
-3*z**2*(z - 1)*(7*z - 2)/4
Let v be 84/16 - 5/20 - 3. Factor -8/5 + 8/5*p - 2/5*p**v.
-2*(p - 2)**2/5
Suppose 6*g - 2*g + 4*o + 12 = 0, 2*o = -g - 8. Find u such that -2/3*u**g - 2/3*u + 4/3 = 0.
-2, 1
Let f(q) be the third derivative of -q**7/70 - 3*q**6/20 - 13*q**5/20 - 3*q**4/2 - 2*q**3 - 16*q**2. Let f(y) = 0. What is y?
-2, -1
Factor -1/2 + 1/2*c**2 + 1/4*c**3 - 1/4*c.
(c - 1)*(c + 1)*(c + 2)/4
Suppose -1 = -5*g + 6*g. Let t be (g/(-15))/((-4)/(-24)). Find b such that -t*b**2 + 0*b + 2/5 = 0.
-1, 1
Let f(t) be the second derivative of t**7/840 - t**5/120 + 2*t**3/3 - 2*t. Let k(u) be the second derivative of f(u). Factor k(d).
d*(d - 1)*(d + 1)
Let p(f) be the first derivative of f**4/20 + 2*f**3/15 + f**2/10 + 5. Factor p(a).
a*(a + 1)**2/5
Let q be 6/(-4 + (3 - 1)). Let n be q/5*(-2)/3. Let 8/5*u**5 + 2/5 - 4/5*u**2 + 8/5*u + n*u**4 - 16/5*u**3 = 0. What is u?
-1, -1/4, 1
Solve 0*p - 1/4*p**2 - 1/2*p**3 + 0 + 1/2*p**5 + 1/4*p**4 = 0 for p.
-1, -1/2, 0, 1
Let f(u) be the second derivative of -u**5/60 + u**4/72 + 10*u. Solve f(l) = 0 for l.
0, 1/2
Suppose -j - 3*j + 3*x = -28, 8 = -2*j - 4*x. Suppose j*n - 1 = 3*n. What is h in -49/4*h**2 + n + h - 49/4*h**3 = 0?
-1, -2/7, 2/7
Let g(b) be the second derivative of -1/8*b**3 + b + 1/16*b**4 + 0*b**2 + 0. Suppose g(m) = 0. What is m?
0, 1
Let i be 7*(-1 + 0) - -3. Let r be ((-6)/27)/(i/6). Factor -r + 1/3*s**2 + 0*s.
(s - 1)*(s + 1)/3
Let s(g) be the third derivative of 0 - 1/12*g**5 + 1/12*g**4 + 0*g**3 + 0*g + 1/60*g**6 + g**2. Factor s(l).
l*(l - 2)*(2*l - 1)
Let q(f) be the third derivative of -f**7/1365 - f**6/390 + 4*f**2. Factor q(b).
-2*b**3*(b + 2)/13
Suppose -64*f + 57*f = -14. Factor 1/2 - 1/4*w**3 + w**f - 5/4*w.
-(w - 2)*(w - 1)**2/4
Let a(r) be the first derivative of 0*r + 1/30*r**5 - 8 + 1/12*r**2 - 1/24*r**4 - 1/18*r**3. Factor a(k).
k*(k - 1)**2*(k + 1)/6
Let d be 1 + (-4 - -2) - -5. Let z = 4 + 0. Factor -5*x**3 - x**z + 3*x - x - x**d - x**2.
-x*(x + 1)*(x + 2)*(2*x - 1)
Let q(v) be the third derivative of -v**7/315 + v**6/45 - v**5/18 + v**4/18 + 6*v**2. Find b such that q(b) = 0.
0, 1, 2
Let h(d) = -d**2 - 6*d + 10. Let b be h(-7). Factor 3/2*k - 9/2*k**2 + b.
-3*(k - 1)*(3*k + 2)/2
Let r(f) = 18*f**4 + 30*f**3 - 54*f**2 + 6*f. Let b(a) = a**4 + a**3 - a**2 - a. Let k(p) = -15*b(p) + r(p). Determine i, given that k(i) = 0.
-7, 0, 1
Factor 0*z**2 + 4*z**2 + 0*z + 0*z**2 - 12 + 8*z.
4*(z - 1)*(z + 3)
Let 3/2*r + 3*r**3 + 0 + 3/4*r**4 + 15/4*r**2 = 0. Calculate r.
-2, -1, 0
Let -134*h**2 - 2 - 2*h + 132*h**2 + 6*h = 0. Calculate h.
1
Let l = 9 - 7. Let -6*w**2 + 4*w**l + 1 + 1 = 0. What is w?
-1, 1
Determine j so that 2/3*j**2 + 1/3*j**3 + 1/3*j + 0 = 0.
-1, 0
Let y(a) be the first derivative of a**6/360 + a**5/40 + a**4/12 + 8*a**3/3 + 1. Let v(f) be the third derivative of y(f). Factor v(s).
(s + 1)*(s + 2)
Suppose 7*d = 3*d + 12. Suppose d*q = h + 3 + 3, -28 = -2*h - 4*q. Let v(y) = -y. Let c(p) = -6*p**2 + 16*p - 4. Let w(t) = h*v(t) + c(t). Factor w(g).
-2*(g - 1)*(3*g - 2)
Let y(c) be the second derivative of c**8/4200 - c**7/1050 + c**6/900 - c**3/6 + 5*c. Let h(k) be the second derivative of y(k). Suppose h(r) = 0. What is r?
0, 1
Suppose 0 = q + h + h - 14, -3*q - 2 = -5*h. Let f(a) be the second derivative of 0*a**2 + 0 - a + 1/6*a**4 + 2/9*a**3 + 0*a**5 - 1/45*a**q. Factor f(d).
-2*d*(d - 2)*(d + 1)**2/3
Factor -9*p**2 + 27*p - 21 + 21 + 3*p**3 - 9*p**2.
3*p*(p - 3)**2
Suppose 5*h - 5*i - 15 = 0, -6*h + 11 = -h - i. Suppose 5*s - 16 = -h*j, -2*s - 4 = -4*j + 4. Solve 0 - 2/3*y - 2/3*y**j - 4/3*y**2 = 0.
-1, 0
Let l = 3957/7 - 565. Determine m, given that -l*m**2 - 2/7*m**3 + 2/7 + 2/7*m = 0.
-1, 1
Factor 1/2*w**2 + 3/4*w - 1/2 + 0*w**4 - w**3 + 1/4*w**5.
(w - 1)**3*(w + 1)*(w + 2)/4
Suppose 5*v - 2*c + 4*c = 10, v - 4*c - 24 = 0. Let d be ((-18)/(-4))/(2 + v). Factor -d*y + 1/2 + 1/4*y**3 + 0*y**2.
(y - 1)**2*(y + 2)/4
Factor 4/3*x**2 + 0 + 2/3*x + 2/3*x**3.
2*x*(x + 1)**2/3
Suppose 0 = -f + 7. Let h(i) be the third derivative of 1/105*i**f + 1/20*i**6 + 0*i + 0*i**3 + 1/12*i**4 + 1/10*i**5 + 0 + i**2. Factor h(z).
2*z*(z + 1)**3
Let x(a) be the second derivative of -a**4/48 - a**3/24 + a**2/4 + 11*a. What is l in x(l) = 0?
-2, 1
Let p = 10 + -4. Let u(m) be the first derivative of 2 - 2/3*m**3 - 6/5*m**5 + 0*m**2 + 0*m - 3/2*m**4 - 1/3*m**p. Factor u(j).
-2*j**2*(j + 1)**3
Let x(r) be the second derivative of r**4/4 - r**3 + 3*r**2/2 - 2*r. Factor x(d).
3*(d - 1)**2
Let f(i) be the second derivative of -i**4/4 + i**3/2 - 7*i. Let f(a) = 0. Calculate a.
0, 1
Let p(x) be the second derivative of 2*x**7/105 + x**6/60 - x**5/6 + x**4/6 - x**2 + 3*x. Let a(o) be the first derivative of p(o). Factor a(f).
2*f*(f - 1)*(f + 2)*(2*f - 1)
Determine h so that 0 + 0*h - 1/5*h**4 - 4/5*h**2 + 4/5*h**3 = 0.
0, 2
Let m = -45 - -361/8. L