 21/2*t**2 + 0 - 4*t**3 - 9*t.
t*(t - 3)**2*(t - 2)/2
Let u(n) be the first derivative of 1/4*n**2 + 2 + n - 1/2*n**3. Determine l so that u(l) = 0.
-2/3, 1
Let d = 61 - 59. Let x(t) = -t**3 - 4*t**2 - t + 1. Let r be x(-4). Let 3*y - y**d - r*y + y = 0. Calculate y.
-1, 0
Let m(k) = -k**3 + k**2 + 11. Let n be m(0). Suppose -3*g = -n*g + 16. Let 0*f + 2/5*f**3 - 4/5*f**g + 4/5*f**4 - 2/5*f**5 + 0 = 0. Calculate f.
-1, 0, 1, 2
Let k(z) be the second derivative of z**7/168 - z**6/60 - z**5/80 + z**4/24 - 26*z. Suppose k(i) = 0. Calculate i.
-1, 0, 1, 2
Suppose -2*t = -3*t + 1. Let a = 1 + t. Factor 3 + 5 + 25*o**a - 20*o - 4.
(5*o - 2)**2
Suppose 4*g = -2*m + 2, 2*m + 5 = -4*g + 7*m. Solve -1/4*k**2 + g - 1/2*k = 0 for k.
-2, 0
Let z(i) = i**3 + 4*i**2 - 5*i + 4. Let f be z(-4). Let j = -21 + f. Suppose 0 + 3*m**2 - 7/4*m**j + m = 0. Calculate m.
-2/7, 0, 2
Let j(m) = m + 13. Let f be j(-11). What is b in -15*b**3 + 16*b**3 - 2*b + b**f + 2 - 2 = 0?
-2, 0, 1
Let h(a) = 12*a**2 - 45*a - 9. Let v(j) = -3*j**2 + 11*j + 2. Let q(p) = -5*h(p) - 21*v(p). Factor q(t).
3*(t - 1)**2
Let f(g) be the second derivative of 1/6*g**4 + g + 0*g**3 + 2/5*g**5 + 0 + 0*g**2. Factor f(p).
2*p**2*(4*p + 1)
Let s be (1 + 0)/(1/33). Determine h, given that -s - 48 - 3*h - 3*h**3 - 15*h**2 - 78*h - 12*h**2 = 0.
-3
Let s(o) be the third derivative of 1/12*o**4 + 0 + 2*o**2 + 0*o**3 + 0*o - 1/60*o**5. Determine y so that s(y) = 0.
0, 2
Let f(u) be the first derivative of -u**4/7 - 10*u**3/21 - u**2/7 + 4*u/7 - 2. Factor f(n).
-2*(n + 1)*(n + 2)*(2*n - 1)/7
Let q be 285 - (3 - (-1 + 5)). Let r = q - 850/3. Let -1/3*a**3 + 4/3 - r*a + 5/3*a**2 = 0. Calculate a.
1, 2
Let a(z) be the second derivative of z**6/180 - z**5/15 + 23*z**4/72 - 7*z**3/9 + z**2 - 9*z. Find p, given that a(p) = 0.
1, 2, 3
Let o = 87 - 85. What is a in 8/5*a**o + 0 + 2/5*a = 0?
-1/4, 0
Suppose -5*a = 5, -2*x - a + 0*a - 1 = 0. Factor 2/13*k**4 - 2/13*k**2 - 2/13*k + 2/13*k**3 + x.
2*k*(k - 1)*(k + 1)**2/13
Let v(m) = m**3 + m**2 + m. Let w be 0*(2/4 - 0). Let j be v(w). Factor j*p**3 + 4*p**2 - 2*p**4 - 2*p**4 - p**3 + p.
-p*(p - 1)*(p + 1)*(4*p + 1)
Factor 108/5*s + 8 - 27/5*s**3 + 54/5*s**2.
-(3*s - 10)*(3*s + 2)**2/5
Factor 1/2*t + 0 + 1/4*t**2.
t*(t + 2)/4
Factor 1/4*o**3 + 0 + 0*o**2 - 1/4*o.
o*(o - 1)*(o + 1)/4
Let t = -7 - -12. Suppose t*g - 9 = 2*g. Let -1/3*m + m**2 + 1/3*m**4 + 0 - m**g = 0. Calculate m.
0, 1
Let p = 29 + -28. Factor 5/2*q**3 + q**2 - 5/2*q - p.
(q - 1)*(q + 1)*(5*q + 2)/2
Let b(s) = s**3 - 14*s**2 + 8*s - 4. Let m(i) = -i**2 + i - 1. Let y(k) = 2*b(k) - 18*m(k). Suppose y(c) = 0. Calculate c.
-1, 1, 5
Let o = 110 + -108. Factor 2/9*u**o + 4/9 + 2/3*u.
2*(u + 1)*(u + 2)/9
Let t(s) be the first derivative of 3*s**4/16 + s**3/4 - 3*s**2/4 + 26. Factor t(o).
3*o*(o - 1)*(o + 2)/4
Let q(f) be the first derivative of f**6/10 - 11*f**5/30 + f**4/3 - 7*f**3/3 - 2. Let v(s) be the third derivative of q(s). Let v(i) = 0. What is i?
2/9, 1
Let d(i) be the first derivative of 0*i - 4 - 1/18*i**4 + 1/27*i**6 + 2/45*i**5 + 0*i**2 - 2/27*i**3. Factor d(w).
2*w**2*(w - 1)*(w + 1)**2/9
Let c(u) be the third derivative of u**6/432 - 7*u**5/720 + u**4/72 - u**3/2 + 2*u**2. Let w(x) be the first derivative of c(x). Suppose w(h) = 0. What is h?
2/5, 1
Let v(r) = -r**2 + 6*r + 4. Let q be v(6). Factor u**2 - 9*u**3 - u - 5*u**2 - 4*u**q + 3*u**3 - u**5.
-u*(u + 1)**4
Let p(d) be the second derivative of -5*d**4/24 + 5*d**3/6 + 39*d. Factor p(a).
-5*a*(a - 2)/2
Let c(j) be the first derivative of 8/11*j + 2 - 1/33*j**6 + 1/22*j**4 + 6/55*j**5 - 14/33*j**3 + 0*j**2. Suppose c(s) = 0. Calculate s.
-1, 1, 2
Let v(f) be the first derivative of -1/4*f**4 + 1 + 0*f**3 + 0*f + 1/2*f**2. Factor v(x).
-x*(x - 1)*(x + 1)
Factor -1/3*l**2 + 17/3 - 16/3*l.
-(l - 1)*(l + 17)/3
Let q(v) = 8*v**2 - 69*v - 64. Let x(l) = -4*l**2 + 34*l + 32. Let m(s) = 6*q(s) + 13*x(s). Factor m(i).
-4*(i - 8)*(i + 1)
Let p(t) be the first derivative of 1/4*t**4 + 0*t**2 + 1/3*t**3 + 3 + 0*t + 1/20*t**5. Factor p(w).
w**2*(w + 2)**2/4
Factor -3/7*u + 0*u**2 + 0 + 3/7*u**3.
3*u*(u - 1)*(u + 1)/7
Let q(a) be the third derivative of -a**5/390 + a**4/78 + 17*a**2. Let q(r) = 0. Calculate r.
0, 2
Factor 3*r**2 + 5*r**3 + 0*r**2 + 6*r - 8*r**3.
-3*r*(r - 2)*(r + 1)
Let k(c) be the second derivative of -c**4/3 + 10*c**3/3 - 13*c. Factor k(u).
-4*u*(u - 5)
Let f(o) = 2*o - 1. Let u be f(3). Suppose 6*a - 17 = -u*l + 3*a, 4*a + 20 = 4*l. Suppose 0*c**4 - c**4 + 2*c**l = 0. Calculate c.
0
Let t(o) be the second derivative of o**4/18 - 2*o**3/9 - 4*o. Factor t(n).
2*n*(n - 2)/3
Suppose 4*s = -2 + 22. Let r(w) be the third derivative of -1/45*w**s + 1/36*w**4 + 0 + w**2 + 1/9*w**3 + 0*w. Find j such that r(j) = 0.
-1/2, 1
Let -12*w**5 - 2*w**2 + 16*w**5 + 8*w**2 - 9*w**5 + 19*w**3 + 8*w**4 = 0. What is w?
-1, -2/5, 0, 3
Let p(n) be the first derivative of n**7/70 - n**6/20 + n**5/20 - 2*n**2 + 5. Let c(r) be the second derivative of p(r). Find a such that c(a) = 0.
0, 1
Let b(t) be the first derivative of 2*t**5/15 - 5*t**4/24 - 7*t**3/18 + t**2/6 - 35. Factor b(w).
w*(w - 2)*(w + 1)*(4*w - 1)/6
Let y = 5 - 5. Let i be (2 + -1 + 0)*y. Factor 1/4*l + 0*l**4 + 1/4*l**5 + 0 - 1/2*l**3 + i*l**2.
l*(l - 1)**2*(l + 1)**2/4
Factor -2/21*z**4 + 0*z + 0*z**2 + 0 + 4/21*z**3.
-2*z**3*(z - 2)/21
Find q such that 147/4*q**2 - 3*q**3 + 27 - 117*q = 0.
1/4, 6
Determine n, given that 0 + 2/13*n**3 - 10/13*n - 8/13*n**2 = 0.
-1, 0, 5
Let p(x) = -3375*x**3 - 2706*x**2 - 717*x - 67. Let b(h) = 2*h**2 - h + 1. Let i(t) = 6*b(t) + 2*p(t). Factor i(q).
-2*(15*q + 4)**3
Suppose -830 = 11*f - 863. Find s such that 1/4*s**f + 1/2*s + 0 - 3/4*s**2 = 0.
0, 1, 2
Let c(t) be the third derivative of 1/420*t**7 + 1/24*t**4 - 6*t**2 + 0 + 0*t - 1/120*t**6 + 0*t**3 - 1/120*t**5. Solve c(x) = 0 for x.
-1, 0, 1, 2
Let b(r) be the third derivative of -r**5/60 - r**4/24 + 2*r**2. Factor b(f).
-f*(f + 1)
Let d = -7 - -9. Solve 2 - 3*x + x**2 + 2*x - 2*x**d = 0.
-2, 1
Let w(z) be the first derivative of -3*z**4/10 - 34*z**3/15 - 31*z**2/15 - 2*z/3 + 40. Let w(t) = 0. What is t?
-5, -1/3
Solve 4 - 3 - 5*f**2 + 2*f**2 + 2*f**2 = 0.
-1, 1
Let j be (-3)/(0 + -2 + 1). Let x(p) be the third derivative of 1/15*p**5 + 0 - 1/105*p**7 - 1/3*p**j + 0*p + 0*p**6 - p**2 + 0*p**4. Factor x(d).
-2*(d - 1)**2*(d + 1)**2
Solve 9/2*u**2 + 3*u - 42*u**4 - 81/2*u**3 + 0 = 0 for u.
-1, -1/4, 0, 2/7
Let j(x) be the third derivative of x**7/6 - 13*x**6/12 - 2*x**5/3 - 48*x**2. Factor j(q).
5*q**2*(q - 4)*(7*q + 2)
Let y(w) be the third derivative of 3/40*w**6 - 1/30*w**5 + 0*w**3 + 0*w**4 - 2/35*w**7 + 3*w**2 + 0 + 0*w + 5/336*w**8. Find k, given that y(k) = 0.
0, 2/5, 1
Let u be (2/(-5))/(4/(-40)). Suppose -m = -3*m + u. Factor -4*k - 10*k**m + 5*k**3 + 2 + 6*k + k**3.
2*(k - 1)**2*(3*k + 1)
Factor -11*l + 3 - 10*l**3 - 1/3*l**5 + 46/3*l**2 + 3*l**4.
-(l - 3)**2*(l - 1)**3/3
Let p(j) be the second derivative of -2/3*j**3 + 0 - 4*j**2 - 3*j + 1/3*j**4. Solve p(k) = 0.
-1, 2
Factor 24*d**2 - 44*d - 68 - d**3 - 3*d**3 + 92.
-4*(d - 3)*(d - 2)*(d - 1)
Solve -5*c + 20*c**2 - 5*c**5 + 15*c**4 - 6*c**4 - 30*c**3 + 11*c**4 = 0 for c.
0, 1
Suppose v + r - 3 = 0, 3*v - 3*r = 1 + 8. Suppose 2*a**v + 2/3*a + 0 - 2*a**2 - 2/3*a**4 = 0. Calculate a.
0, 1
Let i = 1 + 2. Solve -15*d**2 - 17*d**4 + 14*d**2 - 39*d**2 + 62*d**i - 13*d**4 + 8*d = 0.
0, 2/5, 2/3, 1
Let z be (2 + -1)/(-3 - 30/(-9)). Solve 1/3*a + 0 + 0*a**2 - 1/3*a**z = 0 for a.
-1, 0, 1
Let b(x) be the third derivative of -x**10/90720 + x**8/20160 + x**4/8 + x**2. Let s(k) be the second derivative of b(k). Factor s(m).
-m**3*(m - 1)*(m + 1)/3
Suppose 10/7*p**2 - 6/7*p + 0 = 0. What is p?
0, 3/5
Let k(p) be the second derivative of 2*p**6/15 - p**5/4 - 7*p**4/12 + p**3/3 + 9*p. Solve k(i) = 0.
-1, 0, 1/4, 2
Let q(p) be the first derivative of 289*p**3/9 + 34*p**2/3 + 4*p/3 - 9. Factor q(z).
(17*z + 2)**2/3
Let z(c) be the third derivative of c**8/6720 + c**7/2520 + c**4/6 - c**2. Let o(u) be the second derivative of z(u). Solve o(v) = 0 for v.
-1, 0
Suppose 4*m + 0 = 4, -2*h - 2*m = -6. Solve -1 + y**h - 2 + y + 3 = 0.
-1, 0
Let u(r) = -r - 7. Let b be u(-9). Determine x so that -3*x**b + 6/5*x + 0 = 0.
0, 2/5
Let k(s) be the first derivative of 9/