g) be the second derivative of -g**5/5 + 2*g**4/3 + 2*g**3/3 - 4*g**2 + 21*g. Factor h(q).
-4*(q - 2)*(q - 1)*(q + 1)
Let x(v) be the second derivative of 0*v**3 + 1/12*v**4 - 3*v - 1/2*v**2 + 0. Find j such that x(j) = 0.
-1, 1
Suppose 4*k - 7 = j, -3*j - 11 = -5*k - 4. Let t(h) be the first derivative of 3 + 2/3*h**3 - 2*h**k + 1/2*h**4 + 0*h. Solve t(i) = 0.
-2, 0, 1
Let w(f) be the second derivative of f**6/360 - f**5/180 + 3*f**2/2 - 2*f. Let k(l) be the first derivative of w(l). Factor k(b).
b**2*(b - 1)/3
Let l be (-22)/(-8) + (-3)/4. Factor 0*k + 1/6*k**l - 1/6.
(k - 1)*(k + 1)/6
Let c(n) be the second derivative of -n**3/6 + 9*n**2/2 + 2*n. Let f be c(7). Factor u + 3*u**f + 0*u**2 - 2*u**2.
u*(u + 1)
Let d(w) be the first derivative of w**7/4620 - w**6/990 + w**5/660 + 2*w**3/3 - 2. Let k(i) be the third derivative of d(i). Find g, given that k(g) = 0.
0, 1
Let h(q) be the second derivative of q**6/90 - q**5/60 - q**4/18 + 5*q. Solve h(g) = 0 for g.
-1, 0, 2
Let m = 75 + 24. Let z be m/(-121) - (0 + -1). Factor 2/11*t**4 - 8/11*t - 8/11*t**3 + z + 12/11*t**2.
2*(t - 1)**4/11
Let d(k) be the third derivative of -k**7/420 + k**6/240 + k**5/24 + k**4/16 - 9*k**2. What is j in d(j) = 0?
-1, 0, 3
Let x = -1085/11 - -99. Suppose 6/11*d**5 + 0 - x*d**2 - 16/11*d**4 + 14/11*d**3 + 0*d = 0. What is d?
0, 2/3, 1
Suppose 0 = -t + 4*t - 6. Find y, given that t*y**2 - y - y + y**2 = 0.
0, 2/3
Let p(l) be the first derivative of l**5 - 5*l**4/2 + 5*l**3/3 + 10. Let p(v) = 0. Calculate v.
0, 1
Let s(g) = -g**3 - 9*g**2 + 10*g + 5. Let z be s(-10). Factor 2*n**2 + 4*n + z - 5.
2*n*(n + 2)
Let p = 23 + -7. Let q = -14 + p. Find t such that 2/7*t**q + 0*t + 0 = 0.
0
Let u be 2 + (-2 + 2)/2. Let l(g) = g**3 - 7*g**2 - 9*g + 10. Let s be l(8). Factor 3*w**3 - 2*w**u + 2*w - 2*w**3 + s*w**4 - 3*w**3.
2*w*(w - 1)**2*(w + 1)
Let u = -4 - -1. Let d be -2 - (11 - -1)/u. Factor -13*r**2 - 3*r - r - r**d.
-2*r*(7*r + 2)
Let k(m) be the first derivative of m**6/4 + 3*m**5/10 - 3*m**4/8 - m**3/2 + 5. Factor k(o).
3*o**2*(o - 1)*(o + 1)**2/2
Let j be (5586/90)/(2/(-6)). Let q = j + 187. Factor 0 + q*x - 8/5*x**3 - 6/5*x**4 + 2/5*x**2.
-2*x*(x + 1)**2*(3*x - 2)/5
Let z(v) be the third derivative of -v**5/10 + v**4/2 - 2*v**3/3 - 3*v**2. Let r(h) = -11*h**2 + 23*h - 9. Let g(w) = -4*r(w) + 7*z(w). Factor g(s).
2*(s - 2)**2
Let x(p) be the second derivative of -p**7/24 - p**6/60 + 21*p**5/80 - p**4/6 - p**3/6 - 7*p. Let x(q) = 0. Calculate q.
-2, -2/7, 0, 1
Let d(l) = -3*l - 6. Let h be d(-4). Solve -34*b**4 - 9*b + 66*b**3 + 15*b**5 - b**2 - 5*b**2 - 20*b**4 + h - 18*b**2 = 0.
-2/5, 1
Let i be 2/5 + 340/1275. What is l in 0 + 0*l**2 + 0*l + i*l**4 - 2/3*l**5 + 0*l**3 = 0?
0, 1
Suppose -4*r + 10 = 5*g, 5*g - 10 = -0*g. Suppose -6*i + i = r. Factor 0*t**2 + i*t**3 + 1/3*t**4 + 0 + 0*t - t**5.
-t**4*(3*t - 1)/3
Let a(s) be the third derivative of s**3 - s**2 + 0*s + 7/20*s**5 + 9/8*s**4 + 0. Let a(g) = 0. What is g?
-1, -2/7
Let t(v) be the second derivative of -v**4/36 + 5*v**3/18 - 2*v**2/3 - 15*v + 2. Factor t(m).
-(m - 4)*(m - 1)/3
Let m(w) be the second derivative of 7*w**5/40 + 3*w**4/8 + w**3/6 + 9*w. Factor m(g).
g*(g + 1)*(7*g + 2)/2
Let s(f) = -4*f**3 - 3*f**2 + 3*f - 3. Let b(w) = 7*w**3 + 5*w**2 - 5*w + 5. Let v(p) = 3*b(p) + 5*s(p). Let v(i) = 0. Calculate i.
0
Let p(g) = g**2 - 3*g + 1. Let v be p(1). Let w be ((-6)/(-6))/(v/(-2)). What is q in 0*q + 1/4*q**3 - 1/4*q**w + 0 = 0?
0, 1
Let l(v) = v**2 + 5*v - 10. Let z be l(-7). Suppose 4*i + 3*s = 4*s + z, -2*s = i - 10. Factor k**i + k + k**2 - 4 - 2*k + 3*k.
2*(k - 1)*(k + 2)
Let h(u) be the first derivative of -14/3*u**3 + 1/3*u**6 - 2*u**5 + 0*u - 8 + 2*u**2 + 9/2*u**4. What is w in h(w) = 0?
0, 1, 2
Suppose 0*w = 3*w - 30. Suppose 3*m - 4*u = -2*m + w, -3*m - 5*u = -6. Factor 5*o**3 + m*o**2 + 0*o**4 - 3*o**4 + o**4 + 5*o**4.
o**2*(o + 1)*(3*o + 2)
Let h(q) be the first derivative of -q**5/10 - q**4/8 + q**3/6 + q**2/4 - 2. Determine a so that h(a) = 0.
-1, 0, 1
Determine q, given that 8/3 + 2/3*q**2 - 8/3*q = 0.
2
Let o(j) = j**2 - 5. Let m be o(-3). Suppose -10 = -m*p - 2. Let 0 + 0*k**p - 1/3*k**5 + 1/3*k**4 + 0*k**3 + 0*k = 0. What is k?
0, 1
Let f(r) be the second derivative of r**5/50 - r**4/15 + r**3/15 - 9*r. Find x, given that f(x) = 0.
0, 1
Suppose -6/7 + 9/7*y + 0*y**2 - 3/7*y**3 = 0. Calculate y.
-2, 1
Let s(l) be the third derivative of l**6/200 - l**5/50 + l**4/40 + 14*l**2. Let s(n) = 0. What is n?
0, 1
Let z(p) be the third derivative of -125*p**8/336 + 5*p**7/7 - p**6/2 + 2*p**5/15 + p**2. Factor z(y).
-y**2*(5*y - 2)**3
Let x = 188 - 1314/7. Let c(a) be the first derivative of -5/7*a**2 - 1/21*a**6 + 2/7*a + 20/21*a**3 - 3 + x*a**5 - 5/7*a**4. Factor c(z).
-2*(z - 1)**5/7
Find w, given that -4*w + 2 + w**2 + 0 - 1 + 2 = 0.
1, 3
Let o be (-2 + 8)/3 + 0. Solve 2*w**3 + 6*w**o + 6*w + 0*w + 5 - 3 = 0.
-1
Let o = 2597/106760 - 1/1256. Let m = o + 164/255. Find v, given that m*v**3 + 0*v**2 - 2/3*v + 0 = 0.
-1, 0, 1
Let m = -4 + 8. Factor 0*n + 2 + 0 + 9*n - m*n**2 - 2*n.
-(n - 2)*(4*n + 1)
Let o(x) be the second derivative of x**7/105 - 2*x**6/75 + x**5/50 + 20*x. Determine s so that o(s) = 0.
0, 1
Let i(a) = -a**3 + a. Let o(k) = 4*k**3 + 2. Let d(s) = -9 + 0 - 2*s + s - 17*s**3. Let j(x) = -2*d(x) - 9*o(x). Let y(p) = -5*i(p) + 3*j(p). Factor y(m).
-m*(m - 1)*(m + 1)
Let m = 18 - 6. Let g be ((-16)/m)/(2/(-3)). Suppose 0 + 2/3*r - 2/3*r**g = 0. What is r?
0, 1
Let k(n) be the third derivative of -n**6/120 + n**5/60 + n**4/24 - n**3/6 + 10*n**2. Factor k(b).
-(b - 1)**2*(b + 1)
Suppose -4*o + 15 = -7*o. Let t = -3 - o. Find a such that 2/3*a + 0*a**4 - 4/3*a**3 + 0*a**t + 2/3*a**5 + 0 = 0.
-1, 0, 1
Let x(k) be the third derivative of -k**7/840 + k**6/120 + 3*k**5/40 + k**4/4 + 2*k**2. Let f(n) be the second derivative of x(n). Solve f(u) = 0.
-1, 3
Let i be 2/(-8) - (-17)/4. Let x(f) be the third derivative of 0*f - 1/300*f**6 + 1/60*f**i - 1/15*f**3 + 1/150*f**5 - f**2 + 0. Factor x(y).
-2*(y - 1)**2*(y + 1)/5
Suppose 0 = 2*v + v. Suppose -5*y = -v*y - 20. Factor 1 - 2*g**2 + 5 - 5 + 5*g**2 - y*g.
(g - 1)*(3*g - 1)
Let a(b) = b**3 - 9*b**2 - 11*b + 10. Let u be a(10). Let n(c) be the first derivative of -2/9*c**2 + 2/27*c**3 + u*c + 3. Factor n(x).
2*x*(x - 2)/9
Let c = -78/5 - -82/5. Factor -6/5*i**2 - 4/5*i - c*i**3 - 1/5 - 1/5*i**4.
-(i + 1)**4/5
Suppose 3*a = 8*a - 10. Let d(l) be the third derivative of -1/16*l**4 - 1/120*l**5 + 0*l - 1/6*l**3 + 0 + 3*l**a. Solve d(q) = 0.
-2, -1
Let o(u) be the third derivative of -u**8/6720 + u**7/280 - 3*u**6/80 + u**5/30 + 6*u**2. Let m(t) be the third derivative of o(t). Factor m(z).
-3*(z - 3)**2
Let u be (9/(54/12))/1. Let 0*v + 1/5*v**u + 0 = 0. Calculate v.
0
Let m(o) = -o**3 + 5*o**2 + 2*o + 6. Let f be m(5). Let d be 2/(-3) + f/6. Factor -g**d - 2*g**3 - 4*g**4 + g**5 + g**2 - 3*g**5.
-2*g**3*(g + 1)**2
Factor 20*a**3 + 10*a - 8 + 35*a**2 - 6 + 6 + 3.
5*(a + 1)**2*(4*a - 1)
Let k = 32 - 32. Let y(j) be the third derivative of -1/120*j**5 + 0*j + k - 1/12*j**3 + j**2 + 5/72*j**4. Find s, given that y(s) = 0.
1/3, 3
Let o(g) = -g**2 + 6*g - 4. Let r be o(6). Let j = r + 4. Factor -2 + j*t**2 - t**2 - 9*t + 6*t + 0*t**2.
-(t + 1)*(t + 2)
Let w be (-3)/(-6) - (-10)/((-30)/(-6)). Factor -1/2*r**3 + 0*r + 0 + w*r**4 - 3/2*r**5 - 1/2*r**2.
-r**2*(r - 1)**2*(3*r + 1)/2
Suppose 0 = b + 2*b. Let u(j) be the second derivative of 0*j**2 - 1/105*j**7 + 0*j**3 + 0 + b*j**6 - j + 1/50*j**5 + 0*j**4. Factor u(a).
-2*a**3*(a - 1)*(a + 1)/5
Let h be (4/10)/((-3)/(-15)). Let r be (6/15)/(h/10). Let 6*n**r + 3*n**3 + n**4 + n**3 + 0*n**4 + 1 + 4*n = 0. Calculate n.
-1
Factor -17 + 17 - 2*d - d**2.
-d*(d + 2)
Let m be 2 - 12/9 - 0/3. Let m*j**2 - 2/3 + 0*j = 0. Calculate j.
-1, 1
Suppose 0 - 10/3*f + 2/3*f**2 = 0. Calculate f.
0, 5
Suppose u + n - 2 = -6, 8 = 4*u - 2*n. Let b(v) be the second derivative of 0*v**3 + 1/16*v**4 + u - 1/80*v**5 - 1/2*v**2 - v. Determine o so that b(o) = 0.
-1, 2
Let -1/3*h**2 + 0 + 0*h = 0. What is h?
0
Let q(s) be the first derivative of -s**5/15 + s**4/3 - 2*s**3/3 + 2*s**2/3 - s/3 + 23. Factor q(x).
-(x - 1)**4/3
Suppose 1/3*m + 0 - 2/3*m**2 - m**3 = 0. What is m?
-1, 0, 1/3
Let i be 13/(-26) - 11/(-14). Factor -8/7*h 