cond derivative of h(a). What is m in n(m) = 0?
0
Let c be (-18)/(-12)*4/3. Suppose c*m**2 + 0*m - 4*m + 2*m - m**2 = 0. What is m?
0, 2
Let x(w) be the second derivative of -w**5/60 + w**3/6 + w**2/3 - 4*w. Factor x(d).
-(d - 2)*(d + 1)**2/3
Let m(t) be the third derivative of -3/40*t**5 + 0 + t**2 - 1/84*t**7 + 0*t**3 - 1/20*t**6 - 1/24*t**4 + 0*t. Let m(k) = 0. What is k?
-1, -2/5, 0
Let t = 1381/540 - 23/9. Let y(q) be the third derivative of t*q**6 - 2*q**2 + 0*q**3 + 0*q**4 - 1/270*q**5 + 0 + 0*q. Determine n so that y(n) = 0.
0, 1
Determine d so that d**2 + 0*d**2 - 5*d**2 + 0*d**2 + 2*d - 6*d**3 = 0.
-1, 0, 1/3
Let v(a) be the second derivative of a**8/10920 + a**7/1820 + a**6/1170 - a**3/6 + 2*a. Let r(h) be the second derivative of v(h). Let r(q) = 0. What is q?
-2, -1, 0
Factor 1/3*l**3 - 1/3*l - 1/3*l**2 + 1/3*l**4 + 0.
l*(l - 1)*(l + 1)**2/3
Suppose -3*v + 14 = -5*y, 3*y = -5*v - 2*y + 10. Suppose -2/13*h**v + 2/13*h**2 - 2/13 + 2/13*h = 0. Calculate h.
-1, 1
Let t(f) = 50*f**3 + 40*f**2 + 11*f + 3. Suppose -5 = -4*y + 7. Let h(l) = 50*l**3 + 40*l**2 + 10*l + 2. Let i(v) = y*h(v) - 2*t(v). Solve i(j) = 0.
-2/5, 0
Let x be 2/2*40/(-4). Let o be (-4)/x + 63/30. What is m in -7/2*m - 1 - o*m**2 = 0?
-1, -2/5
Let l be 76/14 + (-8)/(-3 + 5). Suppose -4/7*f**3 - 10/7*f**2 + l*f**4 + 0 + 4/7*f = 0. What is f?
-1, 0, 2/5, 1
Factor -9*p**2 - 3*p**4 - 18*p**3 + 3*p**2 - 24*p - 15*p**2 - 15*p**2.
-3*p*(p + 2)**3
Let v(b) be the second derivative of -1/3*b**3 + 0 + 1/3*b**2 + 1/6*b**4 - 3*b - 1/30*b**5. Factor v(m).
-2*(m - 1)**3/3
Suppose 0 = -m + 95 - 9. Let c = 260/3 - m. Factor 2/9*a**3 + 2/3*a**2 + c*a + 2/9.
2*(a + 1)**3/9
Let y be (-22)/(-5) - 2/5. Factor 3*c - 4*c**2 + 2*c**3 + 4*c**y - 2*c**3 - c - 2*c**5.
-2*c*(c - 1)**3*(c + 1)
Let t(u) = 2*u + u + 1 - u**3 - 6*u**2 + 2*u. Let x be t(-7). Find c, given that 1 - 23*c**4 - 15*c - 5*c**4 + 1 + x*c**3 + 26*c**2 = 0.
-1, 1/4, 2/7, 1
Let g = 25 - 20. Suppose 3*k = g*l, l - 4*l + 5*k = 0. Let -1/4*i**2 - 1/4*i + l = 0. Calculate i.
-1, 0
Let z = 5 - 3. Solve z*d**4 + 2 + 0*d**3 - 3*d + 8*d**3 + 12*d**2 + 11*d = 0.
-1
Let n(u) = -4*u**2 + u. Let l(f) = 7*f**2 - f - 1. Let d(y) = -3*l(y) - 5*n(y). Find x such that d(x) = 0.
-3, 1
Let x(i) be the first derivative of i**3 + 3*i**2 + 7. Factor x(n).
3*n*(n + 2)
Let b(a) be the first derivative of a**5/120 + a**4/36 - 4*a + 3. Let m(c) be the first derivative of b(c). Solve m(w) = 0 for w.
-2, 0
Let r(i) be the second derivative of -i**9/22680 - i**8/5040 + i**7/3780 + i**6/540 - i**4/4 + 4*i. Let y(v) be the third derivative of r(v). Factor y(s).
-2*s*(s - 1)*(s + 1)*(s + 2)/3
Let a(y) = -y**2 - 15*y - 18. Let v be a(-13). Suppose 0 = 3*g - 2*g - 2. Factor -g - v*p - 4*p**4 + 2*p**4 - 8*p**3 - 14*p**2 + 2*p**2.
-2*(p + 1)**4
Let t(r) be the first derivative of -r**6/6 + 2*r**5/5 - r**4/4 + 13. Factor t(z).
-z**3*(z - 1)**2
Let y(i) be the third derivative of 0*i + 1/21*i**3 + 1/42*i**4 - 3*i**2 + 1/210*i**5 + 0. Let y(v) = 0. What is v?
-1
Let b = 6 + 0. Determine m so that 3*m**4 - 28*m**2 + 0*m + 3*m**5 + b*m**5 - 9*m + m - 26*m**3 = 0.
-1, -2/3, 0, 2
Let p(l) = 3*l**2 + 7*l. Let v(z) be the third derivative of -z**5/60 - z**4/12 + 3*z**2. Let h(y) = 6*p(y) + 21*v(y). Factor h(r).
-3*r**2
Factor 3/4 + 2*n + 0*n**3 - 1/4*n**4 + 3/2*n**2.
-(n - 3)*(n + 1)**3/4
Suppose -c = -5*w + 24 - 4, -15 = -3*w. Let d be ((-30)/24)/(c/(-2)). Let -3*u - 13/2*u**2 - 6*u**3 - d - 2*u**4 = 0. What is u?
-1, -1/2
Let g(n) be the first derivative of 7*n**6/360 - n**5/36 - n**4/36 + n**2/2 - 9. Let t(f) be the second derivative of g(f). Suppose t(x) = 0. Calculate x.
-2/7, 0, 1
Let c = -5 + 16. Suppose -3*z**4 - 13*z**3 + c*z**3 + z**4 = 0. Calculate z.
-1, 0
Suppose 2*v = -0*v - 8. Let b be 2/8 + (-11)/v. Solve 0*k**3 - 1 + 3*k**4 - 3*k**b + k**2 + 1 - k**5 = 0 for k.
0, 1
Let l = 15 - 13. Factor -1/3*r**l - 1/3*r**3 + 1/3*r + 1/3.
-(r - 1)*(r + 1)**2/3
Let b(t) be the second derivative of t**6/24 + 3*t**5/8 + 55*t**4/48 + 5*t**3/4 + 40*t. What is r in b(r) = 0?
-3, -2, -1, 0
Let v = 8 + -4. Let j(h) be the first derivative of 1/2*h**3 - 1/4*h**2 + 2 + 5/8*h**v + 1/5*h**5 - 1/2*h. Factor j(y).
(y + 1)**3*(2*y - 1)/2
Suppose 0*h + 0*h**2 + 8/3*h**3 - 4*h**4 + 4/3*h**5 + 0 = 0. What is h?
0, 1, 2
Let d be (-2)/(-1) + 0/5. Let t be -1 - (-5 + d)/1. Factor -k**t - 4*k - 7*k**2 - 4*k - 2*k**3.
-2*k*(k + 2)**2
Let q(d) be the first derivative of -d**2/2 - 2*d - 1. Let u be q(-4). Factor 1/3*n**3 + 0 + 2/3*n**u + 1/3*n.
n*(n + 1)**2/3
Suppose 2*x + 30 = 7*x. Let p be (-36)/(-15) + x/(-15). Find u, given that 1/3*u**p - 4/3*u + 4/3 = 0.
2
Let j = -61 - -61. Factor 0*m - 3/2 - 3/2*m**4 + 3*m**2 + j*m**3.
-3*(m - 1)**2*(m + 1)**2/2
Let g be 2/6 - (-5)/3. Suppose -k + 23 = -4*f, f - 5*f - 20 = 0. Factor 0 - 1/6*t**k + 0*t - 1/3*t**g.
-t**2*(t + 2)/6
Let z = -6931/9 - -772. Let k(m) be the first derivative of -32/45*m**5 - 4/9*m**4 + 3 + 26/9*m**3 - z*m**2 + 4/9*m. Find v such that k(v) = 0.
-2, 1/4, 1
Determine b so that 70*b**3 - 6*b**5 + 10*b**4 - 60*b**3 + b**5 + 35*b - 10 + 0*b**4 - 40*b**2 = 0.
-2, 1
Let f = -12 + 15. Factor 2*s**2 + s + s**3 + 2*s**3 + 0*s**2 - 2*s**f.
s*(s + 1)**2
Factor 1/5*s**4 - 6/5*s**3 + 4/5 - 12/5*s + 13/5*s**2.
(s - 2)**2*(s - 1)**2/5
Let r = 29086/21 + -1394. Let d = -26/3 - r. What is a in d*a**4 + 2/7*a**3 - 2/7*a**2 + 0 - 2/7*a = 0?
-1, 0, 1
Let j be (-7140)/(-1155) + -1 + -5. Suppose -j*p**2 - 6/11 + 2/11*p**3 - 10/11*p = 0. What is p?
-1, 3
Let s(j) be the first derivative of -5*j**4/16 + j**3/3 + 11*j**2/8 + j/2 + 9. What is r in s(r) = 0?
-1, -1/5, 2
Suppose 0 = -5*h + 7*h - 8. Let r be (h/(-9))/((-7)/21). Factor r*x + 0 - 2/3*x**2.
-2*x*(x - 2)/3
What is q in 16/7 + 26*q**3 - 388/7*q**2 + 40/7*q = 0?
-2/13, 2/7, 2
Let i(u) = u**3 + 3*u**2 - u + 1. Let b be i(-3). Suppose -b*m + 11 - 3 = 0. Find n such that n**2 - 3*n + m + n - n = 0.
1, 2
Let w(o) be the third derivative of o**8/84 + 2*o**7/15 + 3*o**6/5 + 4*o**5/3 + 4*o**4/3 + o**2. Factor w(j).
4*j*(j + 1)*(j + 2)**3
Factor 0*z - 2/9*z**2 + 0*z**3 + 0 + 2/9*z**4.
2*z**2*(z - 1)*(z + 1)/9
Let w = 8 + -6. Let s = w - -3. Factor 0*d**2 - d**3 + 0*d**4 + d**4 + 4*d**2 + s*d**3.
d**2*(d + 2)**2
Let o be 3/(2/(-4)*-3). Solve -54 - 2*y**2 + 6*y**3 + 58 - o*y**4 - 4*y - 2*y = 0 for y.
-1, 1, 2
Let q(o) be the first derivative of -o**7/1260 - o**6/135 - o**5/45 + 2*o**3/3 + 3. Let h(y) be the third derivative of q(y). Factor h(d).
-2*d*(d + 2)**2/3
Let h be 69/(-180) - (-12)/(-16). Let f = h + 217/165. Factor f - 4/11*u + 2/11*u**2.
2*(u - 1)**2/11
Let h be ((-1)/(-9))/((-8)/(-60)). Let f(w) be the first derivative of 1 + 4/3*w - h*w**4 + 5/3*w**2 - 4/9*w**3. Let f(l) = 0. Calculate l.
-1, -2/5, 1
Let p(q) = q**2 + q. Let x be p(-2). Factor -2*k**2 + 3*k**2 + 2*k**2 - x*k**2.
k**2
Factor -r - 7*r + 20*r**2 - 4*r - 8*r - 5*r**3.
-5*r*(r - 2)**2
Let n = 9/32 - -1/224. Let u = 5/6 - 23/42. Factor n*f**2 - u + 0*f.
2*(f - 1)*(f + 1)/7
Let u(h) be the second derivative of 0*h**4 + 0*h**2 + h + 0 + 0*h**3 - 1/50*h**5 + 1/75*h**6. Factor u(g).
2*g**3*(g - 1)/5
Let k(w) = -13*w**4 - 8*w**3 + 11*w**2 + 6*w - 4. Let d(a) = -12*a**4 - 9*a**3 + 12*a**2 + 6*a - 3. Let g(t) = 4*d(t) - 3*k(t). Factor g(z).
-3*z*(z - 1)*(z + 2)*(3*z + 1)
Let p(c) = -5*c**2 - 5*c - 6. Let d be p(-2). Let o be (1 - 3)*2/d. What is b in o - 3/4*b**2 + 0*b - 1/2*b**3 = 0?
-1, 1/2
Let g(h) be the first derivative of -h**8/560 + h**7/280 + h**6/120 - h**5/40 + 2*h**3/3 + 4. Let w(m) be the third derivative of g(m). Factor w(l).
-3*l*(l - 1)**2*(l + 1)
Let a(g) be the third derivative of 1/120*g**5 + 0*g**3 + 0*g**4 + 7*g**2 - 1/240*g**6 + 0 + 0*g. Find f such that a(f) = 0.
0, 1
Find d such that 0 + 0*d**2 + 0*d + 2/13*d**3 + 2/13*d**4 = 0.
-1, 0
Let u be 1*(0/5)/8. Factor u*m - 2/15*m**4 + 0*m**2 + 2/15*m**3 + 0.
-2*m**3*(m - 1)/15
Let b = 516 + -1031/2. Factor b*a**4 + a**2 + 0 - 1/4*a - 5/4*a**3.
a*(a - 1)**2*(2*a - 1)/4
Let z(j) be the first derivative of -j**3/5 - 3*j**2/5 - 19. Determine y, given that z(y) = 0.
-2, 0
Suppose 3*n + 16 - 31 = 0. Let m(y) be the second derivative of 1/80*y**n + 0 - 1/168*y**7 + 3*y + 1/48*y**4 - 1/120*y**6 + 0*y**3 + 0*y**2. Factor m(f).
-f**2*(f - 1)*(f + 1)**2/4
What is z in -8/9*z**5 