cond derivative of u**5/70 + 3*u**4/7 + 36*u**3/7 + 216*u**2/7 + 5*u. Factor n(q).
2*(q + 6)**3/7
Let x(p) be the first derivative of -11/9*p**2 + 4/9*p - 32/45*p**5 + 28/27*p**3 - 5 + 2/9*p**4 + 7/27*p**6. Suppose x(a) = 0. Calculate a.
-1, 2/7, 1
What is b in 0 + 2/11*b**2 + 6/11*b = 0?
-3, 0
Let j(k) be the third derivative of -k**7/70 + 3*k**6/40 - 63*k**2. Factor j(g).
-3*g**3*(g - 3)
Let k(c) = 2*c**2 - 6*c - 8. Let m(g) be the second derivative of g**3/6 + g**2/2 + 3*g. Let t(l) = -k(l) - 6*m(l). Find a such that t(a) = 0.
-1, 1
Let z(p) be the third derivative of p**7/735 + p**6/70 + 13*p**5/210 + p**4/7 + 4*p**3/21 - 16*p**2. Factor z(s).
2*(s + 1)**2*(s + 2)**2/7
Factor 2/9*i**3 - 2/3*i**2 - 2*i - 10/9.
2*(i - 5)*(i + 1)**2/9
Let i(o) be the second derivative of -o**5/4 + 95*o**4/4 - 1805*o**3/2 + 34295*o**2/2 - o + 21. Factor i(q).
-5*(q - 19)**3
Let m(f) be the first derivative of 4*f**3/9 - f**2/3 - 2*f/3 + 12. Determine l so that m(l) = 0.
-1/2, 1
What is w in 13*w**3 + 72*w + 95*w**2 - 11*w**2 + 19*w**3 + 7*w**4 - 3*w**4 = 0?
-3, -2, 0
Let l(d) = -d**3 - 5*d**2 + 105*d - 3. Let i be l(8). Factor 0 + 0*f + 2/5*f**i + 2/5*f**2 - 2/5*f**4 - 2/5*f**3.
2*f**2*(f - 1)**2*(f + 1)/5
Suppose -5*o - 2*x = 1, -3 = 2*o + 3*x + 4. Let l = 1 + o. What is u in 1/4*u**l + 0 + 1/4*u = 0?
-1, 0
Let 2/3 + 0*u**4 - 4/3*u**3 + 1/3*u**5 - 2/3*u**2 + u = 0. Calculate u.
-1, 1, 2
Let r(i) be the second derivative of i**7/28 - 3*i**6/20 + 9*i**5/40 - i**4/8 - 13*i. Solve r(y) = 0.
0, 1
Find u such that 6*u**2 + 35/4*u**3 + 0 + u = 0.
-2/5, -2/7, 0
Solve 0 + 4/9*r + 14/9*r**2 = 0 for r.
-2/7, 0
Let d(a) be the second derivative of a**4/4 + a**3 + 3*a**2/2 + 10*a. Factor d(n).
3*(n + 1)**2
Find d, given that -4/3*d**2 + 2/3*d**3 + 0 + 2/3*d = 0.
0, 1
Suppose -29*j**2 + 13*j**2 + 14*j**2 + 3 - 4*j + 3 = 0. Calculate j.
-3, 1
Let u(p) = -p**2 - 5*p + 3. Let m be u(-5). Let i(t) be the third derivative of 1/6*t**4 + 3*t**2 - 1/3*t**m + 0 + 0*t - 1/30*t**5. Factor i(v).
-2*(v - 1)**2
Let -4/7*h - 6/7 + 2/7*h**2 = 0. What is h?
-1, 3
Let h be (3/4)/((-6)/(-4)). Let j be 531/826 - 1/7. Factor h*t**2 + 1/2*t - 1/2*t**3 - j*t**4 + 0.
-t*(t - 1)*(t + 1)**2/2
Let o = 67/87 + -3/29. Let k be (-2 + 1 - -2) + 1. Factor 0*d**3 - o*d**k + 0*d + 1/3 + 1/3*d**4.
(d - 1)**2*(d + 1)**2/3
Let j(b) be the second derivative of b**5/4 - 25*b**4/12 + 35*b**3/6 - 15*b**2/2 + 9*b. Suppose j(x) = 0. What is x?
1, 3
Suppose -2/17*m**3 + 0 + 0*m**2 + 2/17*m = 0. What is m?
-1, 0, 1
Let n(i) = -i**2 + 2*i + 7. Let q be n(5). Let o be 65/20 - (-2)/q. Find x such that 3 + x**3 + x - 5 + x**3 - o*x + 2*x**2 = 0.
-1, 1
Let c = -11 - -14. Suppose -9*d**4 + 0*d**3 + 4*d**3 - 7*d - d**c - 2 + 11*d**2 + 4*d**3 = 0. Calculate d.
-1, -2/9, 1
Let k(s) = 4*s**3 + 8*s - 3. Let h be 1*-5 - (-4 + 5). Let v(z) = 5*z**3 + 9*z - 4. Let x(f) = h*k(f) + 5*v(f). Find g, given that x(g) = 0.
-1, 2
Determine a, given that 51*a**2 + 33*a**2 + 27*a**4 - 114*a**3 + 75*a**2 + 12 - 84*a = 0.
2/9, 1, 2
Let f(d) = -2*d + 5*d + 2 + 3*d + 2 + d**2. Let t be f(-6). Find y, given that -2*y**4 + 0*y**2 + t + 3*y**2 - 7*y - 2 - 2*y**4 + 8*y**3 = 0.
-1, 1/2, 2
Let r = -2239/9 + 249. Factor 2/9*k**4 - 2/9*k**3 + 0*k - 2/9*k**2 + r*k**5 + 0.
2*k**2*(k - 1)*(k + 1)**2/9
Let m be 1/(-4 - 51/(-12)). Let d(h) be the third derivative of -2*h**2 + 0 + 1/3*h**m + 0*h - 19/60*h**5 + 2/3*h**3 + 7/120*h**6. Factor d(g).
(g - 2)*(g - 1)*(7*g + 2)
Let h be (-1 + 2)*2/1. Suppose 7 - h + 2*x**2 - 5*x - x - 1 = 0. What is x?
1, 2
Solve 0*y**3 + 0 - 2/5*y**2 + 1/5*y - 1/5*y**5 + 2/5*y**4 = 0.
-1, 0, 1
Let c be -2 + 13 + -1 + 3. Let l(h) = 2*h**2 + h. Let r(w) = w**2. Let u(o) = c*r(o) - 6*l(o). Let s(f) = -f**2 + 4*f. Let x(t) = 7*s(t) + 5*u(t). Factor x(j).
-2*j*(j + 1)
Suppose 3*l - 5 = r, -3*r + 18 = -0*l + 2*l. Suppose -4*d = -2*o + 5*o + 4, -3*d + 2 = o. Find t such that -2*t**2 + r*t - d + 4 - 6 + t**2 = 0.
2
Let l(t) be the first derivative of t**6/432 - t**5/240 - t**4/72 - 8*t**3/3 - 5. Let r(j) be the third derivative of l(j). What is h in r(h) = 0?
-2/5, 1
Let q(d) be the second derivative of 5/66*d**4 - 2/55*d**5 - d - 1/33*d**3 + 0 + 0*d**2. Determine x, given that q(x) = 0.
0, 1/4, 1
Let w(f) be the second derivative of -7/6*f**4 + 0 - 4*f**2 + 16/3*f**3 + 6*f. Factor w(l).
-2*(l - 2)*(7*l - 2)
Let r(s) be the second derivative of s**6/15 + 3*s**5/10 + s**4/2 + s**3/3 - 4*s. Factor r(n).
2*n*(n + 1)**3
Let w be (4 + (-5 - 4))*(2 + -3). Find v such that 0*v + v**w + 0 + 2/3*v**4 - 2/3*v**2 - v**3 = 0.
-1, -2/3, 0, 1
Suppose 1/4*q**2 - q**4 - 13/8*q + 3/2*q**3 + 3/4 + 1/8*q**5 = 0. What is q?
-1, 1, 6
Let o(n) be the first derivative of -3 - 3/2*n**2 + 3/4*n**4 + 0*n + 0*n**3. Determine t, given that o(t) = 0.
-1, 0, 1
Let d**2 - 7*d**2 + 7*d**2 - 5 + 4*d**2 = 0. Calculate d.
-1, 1
Determine a so that 2*a**2 + 2*a**2 - 12 - 7*a**2 - 12*a = 0.
-2
Factor -3*m**2 + 17*m**3 + m**2 + 8*m**4 + 6*m**4 - 8*m**5 - 21*m**3.
-2*m**2*(m - 1)**2*(4*m + 1)
Suppose 5*b = -11 + 1. Let i be b*2 + 368/88. Suppose 0*q + i*q**2 + 0 = 0. What is q?
0
Let k(f) be the first derivative of -f**5/40 - 3*f**4/32 - f**3/12 - 11. Suppose k(b) = 0. What is b?
-2, -1, 0
Let u(y) = -4*y**2 - 2*y. Let g(c) = 9*c**2 + 5*c. Suppose -2*p = -9 - 3. Let f(a) = p*g(a) + 13*u(a). Solve f(m) = 0.
-2, 0
Let n(k) be the third derivative of 0*k**3 - 1/120*k**5 - 4*k**2 + 0 + 0*k - 1/24*k**4. Determine p so that n(p) = 0.
-2, 0
Let c be 1*7*6*1. Let t = -125/3 + c. Factor 1/3*j + 0 - 2/3*j**2 + t*j**3.
j*(j - 1)**2/3
Let b(l) be the second derivative of l**4/84 - l**3/42 - l**2/7 - 24*l. Factor b(g).
(g - 2)*(g + 1)/7
Let x be -1*(0 + 1/1). Let y be (7/(-14))/(x/4). Solve 1/4*j + 0 + 1/4*j**y = 0 for j.
-1, 0
Let y(p) be the first derivative of 5*p**4/4 - 7. Suppose y(o) = 0. Calculate o.
0
Let w(h) = 177*h**2 + h + 2. Let r be w(-1). Let y = -882/5 + r. What is s in 2*s**2 - y*s - 2/5 = 0?
-1/5, 1
Let a be (-9)/15 + (-34)/(-40). Suppose -8 = -2*s, 2*p + 8 = -0*s + 3*s. Factor 0 + 5/4*o**p + a*o + o**3.
o*(o + 1)*(4*o + 1)/4
Let z be 3 - (-23 - (1 - 3)). Let n be (-38)/(-9) - z/6. Find s, given that 0 + n*s**2 + 4/9*s = 0.
-2, 0
Let p = 100 + -98. Determine q so that 0 - 4/5*q**p + 0*q - 24/5*q**4 + 2*q**5 + 18/5*q**3 = 0.
0, 2/5, 1
Determine m, given that -1/3*m - 1/9*m**3 - 4/9*m**2 + 0 = 0.
-3, -1, 0
Let i be 9*3*(-1)/(-9). Factor 6*q - 2*q**2 + 2*q - 3*q - i*q.
-2*q*(q - 1)
Let u(f) be the first derivative of f**4/10 - 2*f**3/3 + 7*f**2/5 - 6*f/5 + 15. Solve u(h) = 0.
1, 3
Suppose 2*p = -11 + 15. Solve -7*f**2 - f + 4*f**p + 4*f**2 = 0 for f.
0, 1
Factor 2/3*v**4 + 0 + 0*v - 2*v**2 + 4/3*v**3.
2*v**2*(v - 1)*(v + 3)/3
Solve 2/3*y**3 + 0*y - 2/3*y**2 + 0 = 0.
0, 1
Suppose 32 = 8*v - 0. Let a(c) be the second derivative of 0 + 0*c**3 + 0*c**2 + 1/24*c**v - 3*c. Let a(g) = 0. Calculate g.
0
Let b be (1 - -3)/(1 - -1). Solve 0*y + 3*y**4 + 1 - 2*y**2 + 0*y**3 - b - 4*y + 4*y**3 = 0 for y.
-1, -1/3, 1
Let t = -4208/7 - -602. Factor t*m**3 + 6/7*m**2 + 2/7*m**4 + 2/7*m + 0.
2*m*(m + 1)**3/7
Let f = 8/5 + -68/55. Solve 6/11*u - 2/11*u**2 - f = 0 for u.
1, 2
Suppose -3*j + 5 = -1. Suppose -x = j*x. Solve 0 - 14/9*l**5 + x*l**2 + 0*l + 2*l**4 - 4/9*l**3 = 0.
0, 2/7, 1
Let v(a) be the first derivative of a**5/270 - a**3/27 - 3*a**2/2 - 3. Let l(x) be the second derivative of v(x). Factor l(s).
2*(s - 1)*(s + 1)/9
Let w(b) be the second derivative of -b**6/80 + 3*b**5/80 - b**3/8 + 3*b**2/16 - 13*b. Let w(d) = 0. Calculate d.
-1, 1
Suppose -g - 36 = -0*g. Let z be (-152)/g + 6/(-27). Suppose -2/3*c - 3*c**3 + 0 - 5/3*c**z - 1/3*c**5 - 7/3*c**2 = 0. Calculate c.
-2, -1, 0
Let f(t) be the third derivative of t**5/30 + t**4/48 + 11*t**2. What is d in f(d) = 0?
-1/4, 0
Factor -2/7*g - 2/7 + 2/7*g**3 + 2/7*g**2.
2*(g - 1)*(g + 1)**2/7
Factor -l**3 - 2*l**5 + 12*l**4 - 3*l**5 - 11*l**3 + l**5 + 4*l**2.
-4*l**2*(l - 1)**3
Suppose 36*m = 25*m + 33. Factor 2/5*a**m - 4/5*a**2 - 6/5*a + 0.
2*a*(a - 3)*(a + 1)/5
Let r(p) be the second derivative of p**4/6 - 2*p**3/3 + 14*p. Let r(l) = 0. Calculate l.
0, 2
Find s such that 10/13*s**2 - 8/13*s**3 + 2/13*s**4 - 4/13*s + 0 = 0.
0, 1, 2
Let n(r) = -13*r + 107. Let c be n(8). Factor 0*h + 2/9*h**c - 2/9*h**2 + 0.
2*h**2*(h - 1)/9
Let y(m) 