*p + 4*p + 10 = 0. Factor 0*r + 0 + 2/3*r**p - 1/3*r**3.
-r**2*(r - 2)/3
Let n(y) be the second derivative of y**5/60 + y**4/9 + 2*y**3/9 - 25*y. Factor n(v).
v*(v + 2)**2/3
Let g(h) = -h**2 - 1. Let v(j) be the second derivative of 1/10*j**5 + j + 1/2*j**4 + j**2 - 1/3*j**3 + 0. Let x(f) = -4*g(f) - v(f). Factor x(t).
-2*(t - 1)*(t + 1)**2
Let h(i) = i**3 - 4*i**2 + 2. Let t be h(4). Let p(n) be the first derivative of -1/5*n**t - 1/15*n**3 - 1/5*n - 1. Factor p(z).
-(z + 1)**2/5
Let f(a) be the first derivative of -9*a**5/5 + 6*a**4 - 22*a**3/3 + 4*a**2 - a + 5. Find s such that f(s) = 0.
1/3, 1
Let l(b) be the second derivative of -9/2*b**2 - 1/2*b**3 - 7*b - 1/20*b**5 + 0 + 5/12*b**4. Suppose l(j) = 0. Calculate j.
-1, 3
Let y(b) = b**3 - 5*b**2 + 4*b + 5. Let f be y(4). Suppose 3*n - 6*n = -3*w, -5*w = f*n - 30. What is h in -1 + 6*h**3 + 6*h + w + 14*h**2 + 4*h = 0?
-1, -1/3
Let n = 68 + -65. Let a(c) be the first derivative of 0*c**2 + 1/2*c**n + 3/10*c**5 + 0*c + 3/4*c**4 + 1. Factor a(j).
3*j**2*(j + 1)**2/2
Suppose -b + 2*f + 0 + 2 = 0, 5*b + 3 = -3*f. Factor t**4 + 1/3*t - 1/3*t**3 - t**2 + b.
t*(t - 1)*(t + 1)*(3*t - 1)/3
Let q be -2*1 + 4 + (-4 - -4). Determine m so that -2/3 + 2/3*m + 2/3*m**q - 2/3*m**3 = 0.
-1, 1
Let b = -3 + 7/2. Suppose 0*o = 2*o. Determine k so that b*k**2 + o + 3/4*k**5 + 2*k**4 + 7/4*k**3 + 0*k = 0.
-1, -2/3, 0
Let l be ((-72)/300)/(1398/(-6940)). Let p = 2/233 + l. Factor p*q**3 + 6/5*q**2 + 0 + 2/5*q**4 + 2/5*q.
2*q*(q + 1)**3/5
Let v(p) be the first derivative of -4*p**3/3 + 2*p**2 + 24*p - 36. Factor v(c).
-4*(c - 3)*(c + 2)
Let n(q) = q**5 - 47*q**4 + 63*q**3 - 24*q**2 - 7*q - 7. Let h(c) = 24*c**4 - 32*c**3 + 12*c**2 + 4*c + 4. Let y(a) = 7*h(a) + 4*n(a). Let y(f) = 0. What is f?
0, 1, 3
Let j(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 3/40*d**6 + 1/10*d**5 - 1/112*d**8 - 5*d**2 + 0*d**7 + 0*d. Factor j(w).
-3*w**2*(w - 2)*(w + 1)**2
Let i(t) be the third derivative of t**7/350 - 7*t**6/200 + 9*t**5/50 - t**4/2 + 4*t**3/5 - 11*t**2. Factor i(x).
3*(x - 2)**3*(x - 1)/5
Let m(d) = d**3 - 7*d**2 + 4*d - 2. Let j be m(6). Let w be 90/21 + 4/j. Factor -1/3*v**2 + 0*v + 0 - 2/3*v**3 - 1/3*v**w.
-v**2*(v + 1)**2/3
Let g(n) = n**3 + 6*n**2 - 5*n + 6. Let j be g(-7). Let s = 40 - j. Find d, given that -d**3 + d**3 - 2*d**3 - 32*d**5 - 12*d**2 + s*d**4 - 2*d = 0.
-1/4, 0, 1
Let d(p) be the third derivative of -p**7/525 - p**6/60 - 4*p**5/75 - p**4/15 + 2*p**2 + p. Find y such that d(y) = 0.
-2, -1, 0
Let p be 20/6 + (-1)/3. Solve 3*j**2 - 3*j**p + 2*j**2 + 3 - 9*j + 4*j**2 = 0.
1
Let i(p) = -2*p**3 + 42*p**2 + 50*p + 7. Let c(o) = -o**3 + 41*o**2 + 50*o + 6. Let n(r) = -7*c(r) + 6*i(r). Factor n(h).
-5*h*(h + 2)*(h + 5)
Suppose 2*o - 10 = -3*o. Let o*y**3 + y + 4*y**2 - 2*y**2 - y = 0. Calculate y.
-1, 0
Let b(c) be the third derivative of -2*c**7/1155 - c**6/132 - 2*c**5/165 - c**4/132 + 16*c**2. Find m such that b(m) = 0.
-1, -1/2, 0
Let k(v) be the second derivative of -5*v**7/336 + v**6/80 + v**5/80 - 6*v. Factor k(t).
-t**3*(t - 1)*(5*t + 2)/8
Let x(i) be the second derivative of i**5/20 + i**4/4 + i**3/3 - 2*i. Solve x(h) = 0.
-2, -1, 0
Let y(d) = 9*d**2 - 15. Let l(m) = -m**2 - m - 1. Let s(f) = 3*l(f) + y(f). Let s(g) = 0. What is g?
-3/2, 2
Let b be (10/6)/((-57)/(-1026)). Find v, given that 8/3 + 25/3*v**3 + b*v**2 - 52/3*v - 125/3*v**4 = 0.
-1, 2/5
Let a be 0/(6 - (4 - 0)). Let s be 3 - 1/(1 + a). Factor 2*o**s + 2*o + 2/3 + 2/3*o**3.
2*(o + 1)**3/3
Let g(r) be the second derivative of -r**4/30 - r**3/5 - 2*r**2/5 + 3*r. Let g(x) = 0. Calculate x.
-2, -1
Factor 9/7 + 6/7*w - 3/7*w**2.
-3*(w - 3)*(w + 1)/7
Let m(u) be the first derivative of u**5 - 15*u**4/4 + 5*u**3 - 5*u**2/2 - 18. Factor m(y).
5*y*(y - 1)**3
Let c = -73/12 - -19/3. Let w = 1/4 + c. What is z in -z + w*z**2 + 1/2 = 0?
1
Let u be 3 - 2 - (-2 - -4). Let w be 1/((-3)/(-2) + u). Factor 1 + 0*z**2 + z**4 - z**w - 1.
z**2*(z - 1)*(z + 1)
Let c(j) = j**3 - 7*j**2 - 13*j. Let k(t) = -t**3 + 3*t**2 + 7*t. Let h be 12/10*5/2. Let g(f) = h*c(f) + 5*k(f). Determine w so that g(w) = 0.
-2, -1, 0
Suppose 2*q**4 - 3/2*q + 0 + 1/2*q**5 - 2*q**2 + q**3 = 0. What is q?
-3, -1, 0, 1
Let j(o) = o**2 - 8*o - 5. Let i be j(9). Suppose 3*r**4 - i*r**4 + r**2 + r**3 - r**3 = 0. What is r?
-1, 0, 1
Find j, given that 11*j + 4*j**2 - 50*j**3 + 4 + 2*j + j + 44*j**3 = 0.
-1, -1/3, 2
Let r(l) be the second derivative of 1/24*l**3 + 1/48*l**4 + 3*l + 0*l**2 + 0. Factor r(o).
o*(o + 1)/4
Let r(p) be the second derivative of -3*p - 1/6*p**4 + 0*p**5 - 1/6*p**3 + 1/15*p**6 + 0*p**2 + 1/42*p**7 + 0. Suppose r(q) = 0. What is q?
-1, 0, 1
Suppose 2*y = -4*o + 4, 3*o = 4*y - 0*y - 8. Let h(j) be the first derivative of -1/6*j**3 + 1/24*j**4 - 1/6*j + 1 + 1/4*j**y. Factor h(l).
(l - 1)**3/6
Suppose 3*t - 4*k = 29, 3*k = 8*t - 3*t - 30. Determine g, given that 0 + 0*g + 1/4*g**4 - 1/4*g**2 + 0*g**t = 0.
-1, 0, 1
Let l be ((-3)/12)/((-1)/28). Let g = l + -7. Let g - 1/5*j**5 - 2/5*j**4 + 0*j**3 + 1/5*j + 2/5*j**2 = 0. Calculate j.
-1, 0, 1
Find m, given that -33*m**3 + 19*m**3 + 17*m**3 - 3*m**4 = 0.
0, 1
Let w = 15 - 7. Let z(o) = -2*o + 12. Let c be z(5). What is j in w*j**2 - 2*j - 6*j**3 - 12*j**c + 0*j + 4*j**3 = 0?
-1, 0
Suppose g + 1 - 2 = j, -g + 7 = 5*j. Factor 2 - 2*f**3 + 2*f**4 - 5*f**5 + 4*f**5 + g*f**5 + f - 4*f**2.
(f - 1)**2*(f + 1)**2*(f + 2)
Let o(l) = l - 1. Suppose -2*u = -3*u + 4*r + 15, -2*r = u + 9. Let p(f) = 2*f**2 + 6*f - 4. Let z(h) = u*p(h) + 4*o(h). Let z(v) = 0. Calculate v.
-1, 0
Let p(r) be the third derivative of r**5/12 - 25*r**4/24 + 10*r**3/3 - 2*r**2. Factor p(f).
5*(f - 4)*(f - 1)
Let o(k) = -8*k**5 - 20*k**4 - 30*k**3 - 20*k**2 - 5*k + 3. Let r(l) = l**5 - 1. Let n(h) = o(h) + 3*r(h). Factor n(b).
-5*b*(b + 1)**4
Let b(m) be the second derivative of -m**6/6 - m**5/4 + 5*m**4/12 + 5*m**3/6 - 21*m. Factor b(w).
-5*w*(w - 1)*(w + 1)**2
Let u = -90 + 91. Let f(l) be the first derivative of u + 1/2*l**4 + 0*l**2 + 0*l - 2/3*l**3. Determine x so that f(x) = 0.
0, 1
Let z = 103 - 96. Let u(d) be the second derivative of 0*d**6 - 3*d - 1/126*d**z + 0*d**3 + 0*d**2 + 1/60*d**5 + 0*d**4 + 0. Determine v so that u(v) = 0.
-1, 0, 1
Let p = 18 + -13. Let v be 3/p - 6/10. Factor 0*n + v - 1/2*n**2.
-n**2/2
Let q(l) be the first derivative of 3 + 35/2*l**4 + 49/5*l**5 - 10*l**2 + 4*l - l**3. Factor q(a).
(a + 1)**2*(7*a - 2)**2
Let k = 3 + 30. Let i = -21 + k. Factor 2 - 6*v + 6 + 2*v - 10*v**2 - i*v.
-2*(v + 2)*(5*v - 2)
Let a(u) be the second derivative of u**7/147 - u**5/35 + u**3/21 - 6*u. Let a(j) = 0. What is j?
-1, 0, 1
Let b = 54 - 52. Let 98*d**3 + 24*d + 84*d**b + 16/7 = 0. What is d?
-2/7
Factor -15*a**4 + 24*a + 99/2*a**3 - 60*a**2 + 0 + 3/2*a**5.
3*a*(a - 4)**2*(a - 1)**2/2
Let k = 5 + -3. Let b be ((-20)/(-70))/(16/14 - 1). Factor b*p**3 + 2/3*p**4 - 2/3*p**5 + 0 + 4/3*p - 10/3*p**k.
-2*p*(p - 1)**3*(p + 2)/3
Let c(s) = -1. Let f(p) = 2*p + 22. Let t(y) = -4*c(y) + f(y). Let d be t(-11). Suppose -13/3*u**2 - 1/3*u**d + 2*u**3 + 4*u - 4/3 = 0. Calculate u.
1, 2
Suppose -5*t + 2 = 5*z - 3, 2*z - 6 = -4*t. Suppose -y + 29/2*y**4 + 10*y**3 + 6*y**5 + 0 + 1/2*y**t = 0. What is y?
-1, -2/3, 0, 1/4
Let f(h) = -17*h + 4. Let x be f(6). Let c = x - -298/3. Suppose 0 + 2/3*m**2 - c*m**3 + 2/3*m**4 + 0*m = 0. What is m?
0, 1
Let o = -3/106 + 271/212. Factor b**2 - o*b - 1/4*b**3 + 1/2.
-(b - 2)*(b - 1)**2/4
Let s(z) be the second derivative of -z**6/1260 - z**5/210 + z**4/28 + z**3/2 - 3*z. Let n(q) be the second derivative of s(q). Factor n(t).
-2*(t - 1)*(t + 3)/7
Let f(y) be the second derivative of -y**6/120 + 3*y**5/20 - 5*y**4/24 - y**3/2 + 11*y**2/8 + 2*y - 2. Determine a so that f(a) = 0.
-1, 1, 11
Let y be 2*-1 + 28/14. Suppose -5*a + 10 = y, 4*p + 0 = a - 2. Factor 2/7*v**4 + p + 10/7*v**2 + 4/7*v + 8/7*v**3.
2*v*(v + 1)**2*(v + 2)/7
Let y(t) be the first derivative of 39*t**5/20 + 85*t**4/16 + 17*t**3/4 + 3*t**2/8 - t/2 + 5. Solve y(a) = 0.
-1, -1/3, 2/13
Let j(i) = 6*i**2 + 2*i + 1. Let a(c) = 2 + 2 + 5*c**2 + 2*c - 3. Let g(n) = -5*a(n) + 4*j(n). Suppose g(s) = 0. What is s?
-1
Let n(j) be the third derivative of j**8/1680 + j**7/280 - j**5/30 + j**3/2 + 4*j**2. Let i(k) be the first derivative of n(k). Factor i(o).
