y**2/5 - 18*y/5 + 51. Factor l(i).
-2*(i + 3)**2/5
Let t = 17 + -31/2. Let x(p) be the second derivative of -3/2*p**2 - t*p**3 + 0 - 4*p - 3/20*p**5 - 3/4*p**4. Find k such that x(k) = 0.
-1
Let z(r) = r**3 - 4*r**2 - 3*r - 7. Suppose 5 = 4*b - b + 2*w, 2*b + 5*w + 15 = 0. Let j be z(b). Factor 0*p**j - 3*p**3 + p**3.
-2*p**3
Let a(t) be the second derivative of t**4/4 + t**3/2 + 12*t. Factor a(l).
3*l*(l + 1)
Let i(j) be the first derivative of -j**5/5 - 3*j**4/4 - j**3/3 + 3*j**2/2 + 2*j + 4. Find m, given that i(m) = 0.
-2, -1, 1
Suppose -74*p + 42 + 254 = 0. Find m, given that -4/9*m + 2/9*m**p + 10/9*m**2 + 0 - 8/9*m**3 = 0.
0, 1, 2
Let g(y) be the second derivative of y**6/40 + 3*y**5/16 + 7*y**4/16 + 3*y**3/8 + 32*y. Factor g(t).
3*t*(t + 1)**2*(t + 3)/4
Let n(g) be the first derivative of 7 + 2/33*g**3 - 8/11*g**2 + 32/11*g. Let n(l) = 0. Calculate l.
4
Let q(u) be the third derivative of -u**7/10080 + u**6/720 - u**5/120 - u**4/4 - 6*u**2. Let b(v) be the second derivative of q(v). Factor b(p).
-(p - 2)**2/4
Suppose 5*b - 4*h - h - 25 = 0, 4*h = 3*b - 17. Let f be (-2 + 5 - b)/1. Factor -2/7*d**3 + f + 0*d**2 + 0*d + 2/7*d**4.
2*d**3*(d - 1)/7
Solve 0*d**3 - 6/7*d**2 + 0*d + 3/7 + 3/7*d**4 = 0 for d.
-1, 1
Let 18*g + 46*g - 692*g**3 - 92*g**3 + 5 - 168*g**2 + 11 - 343*g**4 = 0. What is g?
-2, -2/7, 2/7
Let d(l) be the first derivative of 1/6*l**4 + 0*l + 1/15*l**5 + 1/9*l**3 - 2 + 0*l**2. What is x in d(x) = 0?
-1, 0
Suppose 0 - 3/2*z**3 + 3/2*z + 3/2*z**4 - 3/2*z**2 = 0. What is z?
-1, 0, 1
Let l(s) be the second derivative of s**8/6720 - s**4/6 - 3*s. Let g(w) be the third derivative of l(w). Suppose g(y) = 0. What is y?
0
Let a = -8387/9 + 943. Let q(b) be the second derivative of a*b**3 + 81/10*b**5 + 21*b**4 + 0 - 81/5*b**6 + 8/3*b**2 - 2*b. Factor q(h).
-2*(h - 1)*(9*h + 2)**3/3
Let h(y) be the third derivative of y**5/300 + y**4/60 + y**3/30 + 3*y**2. Suppose h(l) = 0. Calculate l.
-1
Let n(s) be the second derivative of -5*s**7/18 - 2*s**6/3 + s**5/3 + 5*s. Factor n(i).
-5*i**3*(i + 2)*(7*i - 2)/3
Let a = -797/4 + 201. Suppose -j + 4*b - 12 = -0*j, -4*j - b + 3 = 0. Determine x so that a*x**3 - 5/4*x**4 + 0*x - 1/2*x**2 + j = 0.
0, 2/5, 1
Factor -1/2*a**2 + 1/2*a + 1.
-(a - 2)*(a + 1)/2
Let u(y) be the first derivative of y**5/80 + y**4/48 - y**3/24 - y**2/8 + 6*y + 2. Let p(j) be the first derivative of u(j). Factor p(f).
(f - 1)*(f + 1)**2/4
Let h = 18 - 18. Let f(g) be the first derivative of -1/2*g**4 + 2 + 0*g + 1/3*g**3 + h*g**2 + 1/5*g**5. Factor f(v).
v**2*(v - 1)**2
Let -2/5*j**4 + 0 + 8/5*j**2 + 2/5*j**5 - 8/5*j**3 + 0*j = 0. Calculate j.
-2, 0, 1, 2
Let k(f) = 3*f - 12. Let z be k(10). Let v = 18 - z. Find r such that -2/5*r + v - 2/5*r**2 = 0.
-1, 0
Factor -8/5 + 4/5*m**3 - 4*m + 4/5*m**4 - 12/5*m**2.
4*(m - 2)*(m + 1)**3/5
Find x such that 0 + 0*x - 2/13*x**2 - 2/13*x**3 = 0.
-1, 0
Let f(a) = -a**2 - 4*a - 2. Let l be f(-5). Let x be (l/35)/((-4)/10). Suppose 0 - 1/2*h**2 + x*h = 0. What is h?
0, 1
Let o be 80/15 + 4/(-12). Let x(h) be the second derivative of 0 + 2*h + 1/20*h**o + 0*h**2 - 1/24*h**4 - 1/12*h**3. Determine c so that x(c) = 0.
-1/2, 0, 1
Let q = -484 - -486. Factor 3*y**q + 3/2*y**3 + 0 + 0*y.
3*y**2*(y + 2)/2
Let d(l) be the third derivative of 0*l**6 + 1/1008*l**8 + 0 + 1/630*l**7 + 0*l**3 + 0*l**5 + 0*l - l**2 + 0*l**4. Factor d(b).
b**4*(b + 1)/3
Let b(r) be the third derivative of -3*r**2 + 1/120*r**6 + 1/60*r**5 + 0*r + 0 + 1/840*r**7 + 0*r**4 + 0*r**3. Factor b(p).
p**2*(p + 2)**2/4
Let a(u) = u**2 + 6*u - 7. Let z = 16 - 23. Let d be a(z). Factor 2 + y**5 + 8*y**2 + d*y**2 - 1 + 5*y**4 + 10*y**3 + 5*y + 2*y**2.
(y + 1)**5
Let k(f) = -f**3 + f + 1. Let z be k(-3). Let c = z - 20. Suppose -4/5*m**4 + 0*m**2 + 2/5*m**c + 0 + 0*m + 2/5*m**3 = 0. What is m?
0, 1
Let s = -15 - -17. Suppose -4*j + 2*g - s = -4, -g = 3*j - 14. Factor -r**j - 1/3*r - r**2 - 1/3*r**4 + 0.
-r*(r + 1)**3/3
Factor -9/2*l**4 - 6*l**3 + 0*l + 0 - 3/2*l**2.
-3*l**2*(l + 1)*(3*l + 1)/2
Let h(x) be the third derivative of -x**6/420 - x**5/70 - x**4/28 - x**3/21 - 6*x**2. Factor h(o).
-2*(o + 1)**3/7
Suppose -3*z = -5*z - 2. Let v be (-6)/4*(z - 1). Factor 8/9 - 2/3*b**2 + 2/9*b**v + 0*b.
2*(b - 2)**2*(b + 1)/9
Determine g, given that -4/7*g + 4/7*g**3 + 4/7 - 4/7*g**2 = 0.
-1, 1
Let d = 100 + -100. Suppose -25 = 4*m - 9*m. Factor -1/3*l - 1/3*l**m + 4/3*l**2 - 2*l**3 + d + 4/3*l**4.
-l*(l - 1)**4/3
Let u be (-20 - -21)/(10/4). Factor u*m**2 - 4/5*m + 2/5.
2*(m - 1)**2/5
Let l = 44 - 26. Determine w, given that 2*w**4 + 20*w**2 + 22*w + 16*w**2 + 16 + l*w + 14*w**3 = 0.
-2, -1
Let q(j) be the first derivative of -2*j**6/3 + 2*j**4 - 2*j**2 - 9. Determine i so that q(i) = 0.
-1, 0, 1
Let i = 6 - 3. Solve n + 2 - i*n - 2 + 21*n**3 + n**2 = 0.
-1/3, 0, 2/7
Let z(x) = 89*x - 2. Let r be z(1). Let v = r - 607/7. Factor 2/7*o**3 - 2/7*o - 2/7*o**2 + v.
2*(o - 1)**2*(o + 1)/7
Let u = -195 + 977/5. What is l in -12/5*l**3 + 8/5 + u*l**4 - 24/5*l + 26/5*l**2 = 0?
1, 2
Let l = -32 - -50. Let w be 30/l*(-6)/(-5). Factor 2*i + 3/2*i**4 - i**w - 1/2 - 2*i**3.
(i - 1)**2*(i + 1)*(3*i - 1)/2
Let y(a) be the first derivative of -a**4/4 + a**3 - 3*a**2/2 + a - 21. Factor y(h).
-(h - 1)**3
Let x(g) be the first derivative of -2/3*g**3 - 2/5*g**5 - 7 + 4*g + 3*g**2 - 3/2*g**4. Factor x(s).
-2*(s - 1)*(s + 1)**2*(s + 2)
Suppose -4*k + 12 = -4. Suppose -f = -k*f. Factor 0 + 28/3*z**4 - 2*z**3 + f*z - 4/3*z**2.
2*z**2*(2*z - 1)*(7*z + 2)/3
Let h(a) be the third derivative of -a**5/60 - a**4/24 + a**3/3 + 2*a**2. Let h(n) = 0. Calculate n.
-2, 1
Suppose -1/2*d**3 + 0 - 1/2*d**2 + d = 0. What is d?
-2, 0, 1
Let x(k) be the third derivative of -k**6/60 - k**5/10 - k**4/6 + 7*k**2. Find m, given that x(m) = 0.
-2, -1, 0
Let k = 0 + 2. Let l be -1*24*30/(-405). Factor -140/3*f**k + 98/9*f**3 + 152/9*f + 686/9*f**4 - l.
2*(f + 1)*(7*f - 2)**3/9
Find i such that -3/2 - 1/2*i**2 + 2*i = 0.
1, 3
Let j = 5 + -3. Factor 6 + 9*l - 7*l - 6*l - 2*l**j.
-2*(l - 1)*(l + 3)
Let u(b) be the first derivative of -4*b**5/5 - b**4/2 + 2*b**3/3 + 11. Find k such that u(k) = 0.
-1, 0, 1/2
Let g(b) be the third derivative of -b**6/780 - b**2. Determine t, given that g(t) = 0.
0
Let p be 4/10 - 184/10. Let f(c) = -8*c**3 - 21*c**2 - 9*c + 4. Let i(l) = 2*l**3 + 5*l**2 + 2*l - 1. Let t(o) = p*i(o) - 4*f(o). Find s such that t(s) = 0.
-1, 1/2
Let m be 3 + (-52)/16 + (-2)/(-8). Factor p**4 + m*p + 5/3*p**3 + 2/3*p**2 + 0.
p**2*(p + 1)*(3*p + 2)/3
Let r be (-3)/9*3*-2. Let k = r - 2. Solve -2/3*s**2 - 2/3*s + k = 0.
-1, 0
Let v = -316/9 + 36. Determine a, given that 0 + 0*a - v*a**2 - 14/9*a**5 - 46/9*a**4 - 40/9*a**3 = 0.
-2, -1, -2/7, 0
Let q(j) be the second derivative of j**7/60 - 3*j**6/80 + j**5/60 + j**2/2 - 2*j. Let m(t) be the first derivative of q(t). Factor m(x).
x**2*(x - 1)*(7*x - 2)/2
Suppose -3*u - 1 = d, -d - 5*u - 3 = -0*d. Factor -12 - 2*g**4 + 2*g + 12 - 2*g**3 + 2*g**d.
-2*g*(g - 1)*(g + 1)**2
Let y(h) be the first derivative of 2/3*h**3 + 1/6*h**6 + 3 - 3/2*h**2 + h + 1/2*h**4 - 3/5*h**5. Factor y(b).
(b - 1)**4*(b + 1)
Let g(f) be the second derivative of f**4/10 - 2*f**3/5 - 9*f**2/5 - 14*f. Factor g(d).
6*(d - 3)*(d + 1)/5
Let j(a) be the third derivative of a**6/30 + 4*a**5/15 + 19*a**2. Solve j(u) = 0.
-4, 0
Suppose j = 5 - 3. Factor 2*a**3 + 0*a**j + 4*a - 2*a**2 + 7*a**2 + a**2.
2*a*(a + 1)*(a + 2)
Let b(g) = 11*g**3 - 71*g**2 - 145*g - 145. Let i(y) = 4*y**3 - 24*y**2 - 48*y - 48. Let a(f) = 6*b(f) - 17*i(f). Suppose a(q) = 0. Calculate q.
-3
Let i(v) be the first derivative of -v**4/8 + v**3/3 + v**2 - 4*v + 17. Let i(y) = 0. What is y?
-2, 2
Suppose -2*p - 2*p = -8. Let n(d) = 10*d**p - 5*d + 2*d**2 - 6*d. Let s(o) = 6*o**2 - 5*o. Let r(l) = 3*n(l) - 7*s(l). Factor r(w).
-2*w*(3*w - 1)
Let z be (-18)/(-24) + 18/8. Let p(j) be the first derivative of 0*j + 2/9*j**z + 1/3*j**2 - 2. Factor p(i).
2*i*(i + 1)/3
Suppose 8*s - 9 = 5*s. Let w be -1 + (s*4)/4. Determine p so that 1/2*p**3 + 1/2*p**w + 0 + 0*p = 0.
-1, 0
Let q = -5 + 4. Let f be ((-1)/q)/((-1)/(-2)). Factor -5*g**3 - 4*g**f - 3*g**3 - g**3 - g - 2*g**2.
-g*(3*g + 1)**2
Let b(j) be the first derivative of j**4/16 + 16. Solve b(g) = 0 for g.
0
Let t be 2 + 0 - (4 - 4). Factor 2/9*m**3 +