tive of -25*t**7/14 - 31*t**6/2 - 198*t**5/5 - 2*t**4 + 88*t**3 - 72*t**2 - 2*t + 6. Let h(z) = 0. What is z?
-3, -2, 2/5
Let p(x) be the first derivative of -1/3*x**2 + 2/9*x**3 + 2/9*x + 2 - 1/18*x**4. Factor p(q).
-2*(q - 1)**3/9
Factor -4*i**2 + 17*i + 3*i**2 - 2*i - 2*i**2.
-3*i*(i - 5)
Let r(x) be the second derivative of x**4/18 - x**3/9 + 4*x. Let r(v) = 0. Calculate v.
0, 1
Let 722/5 - 76/5*m + 2/5*m**2 = 0. Calculate m.
19
Let d be 77/70*(-1 - 45). Let y = d - -51. Factor 0*o + y*o**3 + 4/5*o**2 + 0.
2*o**2*(o + 2)/5
Let r = -21 + 37. Suppose 39*z**3 + r*z + 80*z**2 + 49*z**3 + 12*z**3 = 0. Calculate z.
-2/5, 0
Let o(p) = 2*p**4 - 5*p**3 - p**2 + 3*p. Let f(b) = -b**4 + b**3 - b. Let h(v) = 3*f(v) + o(v). Factor h(i).
-i**2*(i + 1)**2
Let z(n) be the first derivative of -2/5*n**3 - 2 + 0*n - 3/10*n**2 - 3/20*n**4. Factor z(f).
-3*f*(f + 1)**2/5
Suppose 8*v = 2*v. Factor 2/5 + v*r - 2/5*r**2.
-2*(r - 1)*(r + 1)/5
Let o = 17 - 7. Let r(a) = a**3 - 10*a**2 + 2*a - 20. Let s be r(o). Let 0*p**2 + 2/7*p**3 - 2/7*p**4 + 0 + s*p = 0. What is p?
0, 1
Let w(d) be the first derivative of -d**7/3780 + d**6/1620 - 2*d**3/3 + 1. Let f(j) be the third derivative of w(j). Factor f(r).
-2*r**2*(r - 1)/9
Let k(i) be the first derivative of 4 - 8/5*i**3 + 0*i - 3/2*i**4 + 4*i**5 + 4/5*i**2. Factor k(a).
2*a*(2*a + 1)*(5*a - 2)**2/5
Let l(o) be the first derivative of 2*o**5/5 + o**4/2 - 8*o**3/3 - 4*o**2 + 44. Factor l(s).
2*s*(s - 2)*(s + 1)*(s + 2)
Let q = 9 - 6. What is x in -24*x**2 - 23 - 48*x - 2*x**3 - 4*x**3 + 2*x**q - 9 = 0?
-2
Let h = 16/21 - 25/42. Let k(o) be the third derivative of 0*o - 1/3*o**3 - h*o**4 + 0 - 4*o**2 - 1/30*o**5. Factor k(w).
-2*(w + 1)**2
Let o(a) = 8*a**4 + 2*a**3 - 31*a**2 - 15*a - 11. Let l(x) = x**2 - x + 1. Let w(j) = 14*l(j) + 2*o(j). Find r, given that w(r) = 0.
-1, -1/4, 2
Let m(u) = 5*u**2 + 5*u - 4. Let y(s) = 14*s**2 + 14*s - 12. Let q(b) = -11*m(b) + 4*y(b). Let w be q(-3). Suppose -4/3 + 4/3*t - 1/3*t**w = 0. What is t?
2
Let f = -79 + 51. Let r be (-6)/f*35/30. Suppose -1/4*a + r*a**3 + 0 + 0*a**2 = 0. Calculate a.
-1, 0, 1
Suppose -16 = t - 5*t. Factor -1/3*x - 2*x**2 + 1/3 + 14/3*x**3 + x**5 - 11/3*x**t.
(x - 1)**4*(3*x + 1)/3
Let x = -501 - -1504/3. What is w in 0*w**2 + 0 - 1/3*w + x*w**3 = 0?
-1, 0, 1
Suppose w - 5*a - 1 = 0, 2*a + 3 = 3*w - 13. Suppose j = w*j. Let 2/9 + j*c - 2/9*c**2 = 0. Calculate c.
-1, 1
Let i(c) be the first derivative of c**9/504 - c**8/840 - c**7/140 + c**6/180 + c**3 - 3. Let x(r) be the third derivative of i(r). Find g such that x(g) = 0.
-1, 0, 1/3, 1
Let t be -6 + 2 - (2080/(-25))/13. Factor 4/5*r**2 + 16/5*r + t.
4*(r + 1)*(r + 3)/5
Let z(y) be the second derivative of y**2 + 0 + 1/10*y**5 + 1/2*y**4 + y**3 - 2*y. Solve z(u) = 0 for u.
-1
Let h be (3 - 2)/((-3)/(-2)). Let a(m) be the first derivative of -2 + 2*m**2 - 2*m - h*m**3. Suppose a(p) = 0. What is p?
1
Suppose 0 = -5*n + z + 18, -3 = -4*n - z - 2*z. Suppose 3*d**2 + d**3 - 2*d**2 - d**5 + 2*d**4 - n*d**2 = 0. What is d?
-1, 0, 1, 2
Let b be (-120)/(-42) + (2 - 0) + -4. Suppose -3/7*c + 0 + b*c**2 - 3/7*c**3 = 0. What is c?
0, 1
Let o(n) be the second derivative of -n**7/840 - n**6/120 - n**5/40 - n**4/24 - n**3/2 + 2*n. Let a(r) be the second derivative of o(r). Solve a(g) = 0 for g.
-1
Let i(b) be the first derivative of 7 + 98/3*b**6 + 84/5*b**5 + 80*b**3 - 16*b**2 + 0*b - 122*b**4. Determine a so that i(a) = 0.
-2, 0, 2/7, 1
Let y(m) be the second derivative of -m**8/23520 + m**6/2520 - m**4/6 - m. Let n(v) be the third derivative of y(v). Solve n(h) = 0.
-1, 0, 1
Suppose -i = -5*i + 3*d + 5, 2*d = 5*i - 8. Let b = -9 + 19/2. Find k, given that -1/4 + 1/4*k**i - b*k + 1/2*k**3 = 0.
-1, -1/2, 1
Let t(k) be the second derivative of 3*k**7/1960 - k**6/240 - k**5/140 + k**4/2 - 5*k. Let p(q) be the third derivative of t(q). Find l such that p(l) = 0.
-2/9, 1
Let u(v) be the second derivative of -5*v**7/14 - v**6/6 + v**5/2 - 2*v. Determine k, given that u(k) = 0.
-1, 0, 2/3
Let f be 10/(-35) - 32/(-14). Let z be (2 - f)*(-6 - -5). Factor z + 1/2*g - 2*g**3 + 1/4*g**2 + 5/4*g**4.
g*(g - 1)**2*(5*g + 2)/4
Let p(g) be the first derivative of 1/15*g**6 + 2 + 4/15*g**3 + 1/10*g**4 - 2/5*g**2 - 1/5*g**5 + 1/5*g. Factor p(j).
(j - 1)**3*(j + 1)*(2*j - 1)/5
Let x(o) = -440*o**2 + 152*o - 20. Let c = -10 - -5. Let s(a) = 293*a**2 - 101*a + 13. Let l(y) = c*x(y) - 8*s(y). Factor l(w).
-4*(6*w - 1)**2
Let h(l) = 3*l**4 + l**3 + 6*l**2 - 4*l + 4. Let w(c) = 5*c**4 + 2*c**3 + 11*c**2 - 7*c + 7. Let v(f) = -7*h(f) + 4*w(f). Let v(u) = 0. Calculate u.
-1, 0, 2
Let v(p) be the first derivative of -1/24*p**4 + 1 - p - 1/4*p**2 - 1/6*p**3. Let c(s) be the first derivative of v(s). Solve c(z) = 0.
-1
Let z(a) = 3*a**3 + 5*a**2 + 5*a - 5. Let v(n) = 2*n**3 + 4*n**2 + 4*n - 4. Let m be ((-12)/10)/(30/100). Let r(l) = m*v(l) + 3*z(l). Let r(f) = 0. What is f?
-1, 1
Let l be (-15104)/(-1511)*(-3)/(-9). Let t = l - -2/1511. Factor -4/3*y + 0 + 2*y**2 + t*y**3.
2*y*(y + 1)*(5*y - 2)/3
Let p(k) be the third derivative of -1/20*k**6 - k**2 + 0*k + 0*k**3 - 1/6*k**5 + 0 - 1/6*k**4. Factor p(i).
-2*i*(i + 1)*(3*i + 2)
Suppose -b - 1 = -5. Factor 4*h**4 + h**3 - 2*h**4 - 7*h**3 + 3*h**2 + h**b.
3*h**2*(h - 1)**2
Let w(o) be the first derivative of -o**5/20 + 3*o**4/4 - 9*o**3/2 + 2*o**2 - 2. Let s(p) be the second derivative of w(p). Factor s(k).
-3*(k - 3)**2
Factor -4 - 14/3*p - 2/3*p**2.
-2*(p + 1)*(p + 6)/3
Let z = -6 - -9. Let f = 43/3 - 14. What is a in a**2 + 1/3 + f*a**z + a = 0?
-1
Let r(c) be the first derivative of -3/2*c**2 - 5/3*c**3 + 2*c - 1. What is o in r(o) = 0?
-1, 2/5
Factor 0 - 4/5*s**2 - 3/5*s**3 + 0*s + 1/5*s**4.
s**2*(s - 4)*(s + 1)/5
Let j(a) be the first derivative of -a**6/90 + a**4/6 + 3*a**3 - 4. Let b(f) be the third derivative of j(f). Factor b(d).
-4*(d - 1)*(d + 1)
Let z(b) be the third derivative of 0*b + 0*b**3 + 1/20*b**4 + 0 + 1/100*b**5 + 3*b**2. Find n, given that z(n) = 0.
-2, 0
Suppose 3*d - 23 + 5 = 0. Suppose 0 = 2*v - s - 5, -2*v + 3*s = v - d. Suppose -22/3*w**v - 16/3 + 4/3*w**2 - 2/3*w**5 + 8*w + 4*w**4 = 0. What is w?
-1, 1, 2
Let a be (-467)/(-14) + (-2)/(-14). Let p = a - 32. Factor 3/2*d**2 + 3*d + p.
3*(d + 1)**2/2
Let q = -130 + 130. Factor q - 2/11*s + 2/11*s**2.
2*s*(s - 1)/11
Suppose -5*k = -10 - 5. Let u(d) be the first derivative of 2 + 1/2*d**2 + d - 1/4*d**4 - 1/3*d**k. What is g in u(g) = 0?
-1, 1
Suppose -3*f = -2*f. Suppose f*m - 3*m = -12. Solve 10*a - m - 2*a + 3*a + a + 7*a**2 = 0 for a.
-2, 2/7
Let j be (3 + 10)/1 - 3. Suppose -2*p = -5*p, -5*n - 3*p = -j. Determine z so that z**3 - 1/3*z**n - z**4 + 1/3*z**5 + 0*z + 0 = 0.
0, 1
Let q(a) = -18*a**3 + 54*a**2 - 33*a - 24. Let m(w) = w**3 - w. Let u(z) = -3*m(z) - q(z). Factor u(o).
3*(o - 2)**2*(5*o + 2)
Let s = -3 - -7. Let n be s/10*(-5)/(-7). Factor 0 + 0*q**3 + 2/7*q**4 + 0*q - n*q**2.
2*q**2*(q - 1)*(q + 1)/7
Let f(i) be the third derivative of -i**9/120960 + i**7/10080 - i**5/30 + 2*i**2. Let b(l) be the third derivative of f(l). Factor b(m).
-m*(m - 1)*(m + 1)/2
Let t(p) = 3*p**4 - 2*p**3 + 3*p**2. Let s(d) = 12*d**4 - 9*d**3 + 12*d**2. Let n(h) = 4*s(h) - 15*t(h). Determine u, given that n(u) = 0.
0, 1
Suppose -n = -0*n. Let k = 3 - n. Factor -2*t - 7*t**2 + 2*t**2 + t**3 + 3*t**5 - 2*t**k + 5*t**4.
t*(t - 1)*(t + 1)**2*(3*t + 2)
Let x(j) = j**3 + 7*j**2 - 9*j - 12. Let s be x(-8). Let z(i) = -i + 1. Let p be z(s). Factor 9*q**4 + q**5 - 6*q**3 + 3 + 0*q**4 + q**p + 4*q**5 - 12*q**2.
3*(q - 1)*(q + 1)**3*(2*q - 1)
Let z(l) = -15*l**2 - 319*l - 1804. Let x(o) = 5*o**2 + 106*o + 601. Let s(n) = -11*x(n) - 4*z(n). Factor s(d).
5*(d + 11)**2
Let c = 15 - 14. Let i be 4*c + (-6)/3. Factor -4/5*l + 14/5*l**i + 0.
2*l*(7*l - 2)/5
Let u be (1 - 2)*(0 + -4). Let w(h) be the second derivative of -2*h + 0 + 1/30*h**u + 1/5*h**2 + 2/15*h**3. Factor w(v).
2*(v + 1)**2/5
Let w(j) = j**2 + 3*j - 13. Let a be w(-6). Let t(k) be the first derivative of 0*k**2 + 0*k**3 - 2/45*k**a + 3 + 0*k + 1/18*k**4. Factor t(s).
-2*s**3*(s - 1)/9
Let x = -5 - -6. Suppose o = 2 + x. Factor -2/7*n**o + 0*n**2 + 2/7*n + 0.
-2*n*(n - 1)*(n + 1)/7
Let y(m) be the third derivative of m**8/2016 - m**7/630 + 3*m**2. Let y(o) = 0. What is o?
0, 2
Suppose