d + 0 - 4*t**3 + 2*t + 1/15*t**6. Factor n(v).
2*(v - 2)**2*(v - 1)**2
Let l(n) = -n**3 + n**2 - n - 3. Let v(x) = x**3 - 3*x**2 + x + 5. Let t(c) = 4*c - 1. Let u be t(-1). Let d(i) = u*l(i) - 3*v(i). Factor d(w).
2*w*(w + 1)**2
Let v(i) be the first derivative of 2*i**5/65 - i**4/13 + 2*i**3/39 + 11. Factor v(w).
2*w**2*(w - 1)**2/13
Let g(o) = 2*o**5 + 14*o**3 - 6*o**2 + 5*o. Let m(l) = l**5 + 13*l**3 - 6*l**2 + 4*l. Let q(c) = -4*g(c) + 5*m(c). Factor q(d).
-3*d**2*(d - 1)**2*(d + 2)
Find f, given that 225 + 30*f + 0*f**2 + f**2 + 2*f**2 - 2*f**2 = 0.
-15
Let r(k) be the second derivative of -2*k**7/63 + 4*k**6/45 - 2*k**4/9 + 2*k**3/9 - 16*k. Factor r(j).
-4*j*(j - 1)**3*(j + 1)/3
Let m(v) be the second derivative of -v**6/360 + v**4/24 - v**3/9 - 5*v**2/2 - 4*v. Let k(u) be the first derivative of m(u). Factor k(s).
-(s - 1)**2*(s + 2)/3
Let a(o) be the third derivative of o**6/24 + o**5/12 - o**2. Let a(t) = 0. What is t?
-1, 0
Let b be 1/((4/12)/1). Let m(j) be the first derivative of 2/9*j**b + 2 + 0*j + 1/3*j**2. Factor m(l).
2*l*(l + 1)/3
Let k = 371/5 - 74. Let o(f) be the second derivative of 2/15*f**6 - 1/21*f**7 + f + 0 - 2/3*f**4 - 1/3*f**3 + k*f**5 + 2*f**2. Let o(h) = 0. Calculate h.
-1, 1, 2
Let k(h) = -h**3 + 3*h**2 + 4*h + 2. Let n be k(4). Suppose -44*l + 8 + 17*l**2 - 6*l**4 + 55*l**4 + l**n + 29*l**3 + 90*l**3 = 0. What is l?
-2, -1, 2/7
Let o(s) be the second derivative of s**7/28 - s**6/8 + 3*s**5/20 - s**4/16 - 15*s. Determine k, given that o(k) = 0.
0, 1/2, 1
Let j(y) be the third derivative of -y**6/24 + y**5/3 + 5*y**4/24 - 10*y**3/3 - 25*y**2. Determine u, given that j(u) = 0.
-1, 1, 4
Let w(j) be the second derivative of j**9/6048 + j**8/1680 - j**7/1260 - j**4/12 - 7*j. Let q(r) be the third derivative of w(r). Factor q(d).
d**2*(d + 2)*(5*d - 2)/2
Let u be 3*(2 + (-15)/9). Let j(y) = -9*y**5 + 12*y**4 - 17*y**3 + 4*y**2 - 5. Let c(n) = -n**5 - n**3 - 1. Let s(d) = u*j(d) - 5*c(d). Factor s(p).
-4*p**2*(p - 1)**3
Let r(h) = -h**3 + 17*h**2 + 35*h + 59. Let s be r(19). Determine f so that 3/7*f**s + 0 - 3/7*f = 0.
0, 1
Let l = -47 - -142/3. Let a(v) be the first derivative of 0*v + 1 - l*v**6 + 2/5*v**5 - 2/3*v**3 + 0*v**2 + 1/2*v**4. Determine c so that a(c) = 0.
-1, 0, 1
Let m = 60 - 60. Let v(t) be the second derivative of 0 + m*t**2 + 1/2*t**7 - 3*t - 3/10*t**5 + 0*t**4 + 1/2*t**6 + 0*t**3. Factor v(q).
3*q**3*(q + 1)*(7*q - 2)
Let f(d) be the third derivative of d**8/336 + d**7/70 - d**6/120 - d**5/20 - d**2. What is i in f(i) = 0?
-3, -1, 0, 1
Let o(c) be the third derivative of -1/96*c**4 + 0*c**5 + 0*c - c**2 + 1/480*c**6 + 0*c**3 + 0. Factor o(l).
l*(l - 1)*(l + 1)/4
Suppose l + 0*l = -10. Let b be (-4)/l + 161/35. Factor -2*j**2 + 0 - 13*j + b*j - 8.
-2*(j + 2)**2
Suppose -4*j = -d - 12, 16 = j - 3*j - 5*d. Find q such that 10*q**2 - 4*q**2 + 1 - j*q + q**2 - 6*q**2 = 0.
1
Suppose 2*l - 2*q = 3*q - 15, 3*l + 3*q - 30 = 0. Suppose -11 + 1 = -l*v. Let 0 + z**4 - 1/2*z - z**v + 1/2*z**3 = 0. Calculate z.
-1, -1/2, 0, 1
Let h(i) be the first derivative of -5*i**3/3 - 10*i**2 - 27. Factor h(o).
-5*o*(o + 4)
Let g(n) = n**3 - 2*n**2 + n. Let v = 7 - 5. Let z be g(v). Factor -3*d**2 + z*d**3 + 4*d**2 - d**4 - 2*d**4.
-d**2*(d - 1)*(3*d + 1)
Suppose 5*m + 5*u = -5, 4*m - 2*u - 23 = -m. Factor -2/5*z - 4/5 + 4/5*z**2 + 2/5*z**m.
2*(z - 1)*(z + 1)*(z + 2)/5
Let b(o) be the third derivative of -1/4*o**4 + 1/20*o**6 + 0*o - 1/2*o**3 + 0 + 0*o**5 + 5*o**2 + 1/70*o**7. Factor b(z).
3*(z - 1)*(z + 1)**3
Factor 22/5*q**3 + 6*q**2 + 6/5*q**4 + 4/5 + 18/5*q.
2*(q + 1)**3*(3*q + 2)/5
Let z(r) be the first derivative of -4*r**7/21 + r**6/3 - r**5/10 + 2*r - 3. Let l(y) be the first derivative of z(y). What is i in l(i) = 0?
0, 1/4, 1
Let c be (-37)/2 + (-14)/(-28). Let n(z) = -z**3 - 19*z**2 - 19*z - 18. Let u be n(c). What is w in u*w**2 + 0 - 6/5*w**4 + 0*w + 3/5*w**3 + 3/5*w**5 = 0?
0, 1
Let i = 1 - 1. Suppose i = 5*k - 0 - 10. Factor s**2 + s**4 + s + s**3 - 2*s - k*s**2.
s*(s - 1)*(s + 1)**2
Let x(p) be the third derivative of -p**7/525 + p**6/100 + p**5/150 - p**4/20 - 34*p**2. Factor x(o).
-2*o*(o - 3)*(o - 1)*(o + 1)/5
Factor 1/5*k**5 - 1/5*k**4 + 0*k + 0 + 1/5*k**2 - 1/5*k**3.
k**2*(k - 1)**2*(k + 1)/5
Let m(r) be the first derivative of -5*r**3 + 10*r**2 - 5*r + 30. Let m(f) = 0. What is f?
1/3, 1
Determine s, given that s + s**5 + 1/3 - 2*s**3 - 2/3*s**2 + 1/3*s**4 = 0.
-1, -1/3, 1
Suppose -3 + 15/2*a**3 + 3/2*a + 12*a**2 = 0. Calculate a.
-1, 2/5
Let u(x) be the third derivative of -x**8/1680 + x**7/1050 + x**6/150 - x**5/75 - 37*x**2. What is d in u(d) = 0?
-2, 0, 1, 2
Suppose -o + 4 + 2 = 0. Let t be 4/o + (-4)/6. Suppose -7/2*l**2 - l + 7/2*l**4 + l**3 + t = 0. What is l?
-1, -2/7, 0, 1
Suppose -4*f + f - 5*x - 2 = 0, 0 = 4*f + 4*x. Suppose 0 = -g - 2*r - 10, 5*r = g - 26 + f. Suppose -1/2*p - 7/4*p**2 + p**3 + g = 0. What is p?
-1/4, 0, 2
Let v(h) be the second derivative of -h**4/6 - h**3/6 - 3*h**2/2 + h. Let s(j) = -2*j**2 - 2. Let r(f) = 3*s(f) - 2*v(f). Solve r(x) = 0 for x.
0, 1
Let k be (41 - 38) + 2/(-2). Solve 16/5*v - 2/5 - 32/5*v**k = 0.
1/4
Let f(d) be the second derivative of 0*d**3 - 12/7*d**7 - 2/5*d**5 + 0 - 19/5*d**6 - d**2 + d + 3*d**4. Find z, given that f(z) = 0.
-1, -1/4, 1/3
Let h(w) be the second derivative of -w**6/180 + w**4/72 - 6*w. Factor h(s).
-s**2*(s - 1)*(s + 1)/6
Let v(c) = c**5 + c**3 + c**2 - c. Let r(f) = -5*f**5 + 2*f**4 - 8*f**3 - 10*f**2 + 7*f + 2. Let i(w) = -r(w) - 6*v(w). Factor i(u).
-(u - 1)**2*(u + 1)**2*(u + 2)
Let c(m) be the second derivative of -m**7/63 - m**6/45 + m**5/30 + m**4/18 - 3*m. Let c(g) = 0. Calculate g.
-1, 0, 1
Let q(i) = i**2 - 12*i + 16. Let z be q(12). Let n be 4/(-6) + z/15. Determine r, given that 0 - 2/5*r + n*r**2 = 0.
0, 1
Let n = 8283/5 - 1651. Let -9/5*j**4 - 8/5*j - 6*j**3 + 0 - n*j**2 = 0. What is j?
-2, -2/3, 0
Let t = -21 - -24. Let i(p) be the third derivative of 2*p**2 - 1/3*p**t - 1/96*p**6 + 0 + 0*p + 1/24*p**4 + 1/40*p**5 + 1/840*p**7. Factor i(h).
(h - 2)**3*(h + 1)/4
Let h(x) be the second derivative of 3*x - 2/21*x**3 + 1/7*x**2 + 0 + 1/42*x**4. Let h(t) = 0. Calculate t.
1
Let t(q) be the third derivative of q**9/52920 - q**7/4410 + q**5/420 + q**4/24 - 3*q**2. Let h(a) be the second derivative of t(a). Solve h(k) = 0.
-1, 1
Let v be -5*((-20)/25)/(2*1). Let h(w) be the first derivative of -4 - 2*w + 2/3*w**3 - w**v + 1/2*w**4. Solve h(m) = 0 for m.
-1, 1
Let r(o) = 5*o**4 + 5*o**3 - 5*o**2 - 5*o - 9. Let q = 3 - 3. Let u(l) = q + l - l**4 + l**2 - l**3 + 3 - 1. Let z(g) = -4*r(g) - 18*u(g). Factor z(x).
-2*x*(x - 1)*(x + 1)**2
Let y = 21/2 + -41/4. Find n, given that 0 - y*n**4 - 1/2*n**3 + 0*n - 1/4*n**2 = 0.
-1, 0
Let i(o) be the second derivative of o**7/8820 + o**6/630 + o**5/105 + o**4/3 + o. Let l(m) be the third derivative of i(m). Suppose l(t) = 0. What is t?
-2
Let m(o) be the third derivative of -o**8/588 - 4*o**7/735 + 2*o**5/105 + o**4/42 + 10*o**2. Factor m(h).
-4*h*(h - 1)*(h + 1)**3/7
Suppose 2*b + 2 = 4*b, 5*b = -2*j - 25. Let x be 9/j + (-114)/(-40). Factor x + 1/4*i**2 - 3/2*i.
(i - 3)**2/4
Let b be (-1)/(-2*(-9)/(-3018)). Let d = b + -165. Factor -7/3*n**4 - d*n**2 - 16/3*n**3 + 16/3*n - 1/3*n**5 + 16/3.
-(n - 1)*(n + 2)**4/3
Suppose -6*w = 2*w - 24. Let q(k) be the first derivative of -k**2 + 1/2*k**4 - 3/5*k**5 - k + 4/3*k**w - 1. Factor q(y).
-(y - 1)**2*(y + 1)*(3*y + 1)
Let h(b) be the second derivative of -b**5/100 + b**4/12 - b**3/15 - 4*b**2/5 + 7*b. Solve h(y) = 0.
-1, 2, 4
Let m be 4/(-7) - ((-1515)/700)/3. Let w(u) be the second derivative of -1/42*u**7 + 0*u**2 - m*u**5 + 2*u - 1/12*u**4 - 1/10*u**6 + 0 + 0*u**3. Factor w(k).
-k**2*(k + 1)**3
Solve 0*q**2 + 0 - 8/13*q**4 + 2/13*q**5 + 0*q + 8/13*q**3 = 0.
0, 2
Let 2*c**4 + 4*c**3 + 2/5 + 4*c**2 + 2*c + 2/5*c**5 = 0. What is c?
-1
Let s(b) be the second derivative of -3*b**5/140 - b**4/28 - 11*b. Factor s(k).
-3*k**2*(k + 1)/7
Factor 3*f + 2*f**3 + 7*f**3 - f**4 - 9*f**2 - 2*f**4 + 0*f**4.
-3*f*(f - 1)**3
Let k be (8/(-10))/((-2)/5). Suppose k*g**2 + g**3 - g + 0*g**3 + 2*g**2 - 2 - 2*g**2 = 0. Calculate g.
-2, -1, 1
Let m be ((-7)/(-21))/(7/6). Factor 0*t**3 - m + 0*t - 2/7*t**4 + 4/7*t**2.
-2*(t - 1)**2*(t + 1)**2/7
Let k(a) be the fi