 + c**7/560 - c**5/80 + c**4/32 - 4*c**3/3 - 7. Let u(n) be the third derivative of k(n). Let u(h) = 0. What is h?
-1, 1
Let f(n) be the third derivative of -n**8/560 + 3*n**6/200 - n**5/50 - 2*n**2 + 2*n. Factor f(g).
-3*g**2*(g - 1)**2*(g + 2)/5
Let b be 0 + 2 + -2 + -1. Let j be 3 + (b - 2 - -2). Factor -6 + 0*a + a**j + 7 + a + a.
(a + 1)**2
Let w = 21 - 19. Let o(n) be the third derivative of 0*n**4 - 1/150*n**5 + 0*n + 0*n**3 - n**w + 0. Factor o(u).
-2*u**2/5
Let k(p) = -p**2 - 11*p + 16. Let n be k(-12). Let y(u) be the first derivative of 0*u**3 - 1/15*u**5 + 1/6*u**n + 3 + 1/3*u - 1/3*u**2. Factor y(b).
-(b - 1)**3*(b + 1)/3
Factor 25/4*l**3 + 0 + 1/4*l + 5/2*l**2.
l*(5*l + 1)**2/4
Let f be (-2)/8 + (-187)/(-44). Let g(h) be the first derivative of 0*h**3 + 4/5*h**5 + 0*h + 1/2*h**f + 0*h**2 + 1/3*h**6 - 2. What is z in g(z) = 0?
-1, 0
Let x(a) be the third derivative of -5/48*a**4 + 1/80*a**6 + 0*a + 4*a**2 - 1/6*a**3 + 1/30*a**5 + 0. Factor x(z).
(z - 1)*(z + 2)*(3*z + 1)/2
Find j such that -7*j**2 + 4/3 - 8/3*j = 0.
-2/3, 2/7
Let r(m) be the second derivative of m**6/30 + 7*m**5/100 + m**4/30 - 8*m. Suppose r(u) = 0. What is u?
-1, -2/5, 0
Let y be 1/(0 - -1) - -3. Suppose 0 = y*t - t - 9. Factor -4*l**3 + 4*l**t + l**3 - l.
l*(l - 1)*(l + 1)
Let u(w) be the first derivative of -w**3/12 - w**2/4 + 1. Solve u(c) = 0.
-2, 0
Let m(k) be the first derivative of 3/8*k**2 + 1/6*k**3 - 3/16*k**4 + 3 - 1/2*k. Factor m(z).
-(z - 1)*(z + 1)*(3*z - 2)/4
Let g(s) be the third derivative of -3*s**5/10 - 17*s**4/8 + 3*s**3/2 + 40*s**2. Determine l, given that g(l) = 0.
-3, 1/6
Let a = -538/3 - -180. Factor 1/3*b**5 + a*b**4 - 2/3*b**2 + 0*b**3 + 0 - 1/3*b.
b*(b - 1)*(b + 1)**3/3
Let u = 2/183 - -40/61. Factor -32*x**2 - u + 8*x + 128/3*x**3.
2*(4*x - 1)**3/3
Let f(d) = d**2 + d + 5. Let g be f(0). Let m(i) = g*i - i**3 + i - 5*i - 1. Let k(p) = -3*p**3 + 4*p - 4. Let t(y) = -k(y) + 4*m(y). Solve t(l) = 0 for l.
0
Suppose 5*o = -5*b + 30, 12 = 2*o + 2*b - 5*b. Suppose -10 = -o*l + l. Find h, given that 2/5*h**3 + 4/5*h**l - 4/5 - 2/5*h = 0.
-2, -1, 1
Suppose 2*y - 22 = -0*y. Let s(z) = -z**2 + 12*z - 9. Let b be s(y). Suppose -2/3*t**b + 0 - 2/3*t = 0. What is t?
-1, 0
Let g(t) be the second derivative of t**4/21 + 10*t**3/21 - 12*t**2/7 + t - 12. Determine q so that g(q) = 0.
-6, 1
Let y be 1/(-4) - 21/(-28). Determine s so that y*s**2 - 3/2*s**3 - s**4 + 1/2 + 3/2*s = 0.
-1, -1/2, 1
Let r(o) be the first derivative of -o**5/5 - o**4/2 - o**3/3 + 28. What is f in r(f) = 0?
-1, 0
Let y = 36 + -24. Let p(c) = c**3 - 7*c**2 + 2*c - 11. Let s be p(7). Factor y*x**5 + 4*x**3 + 4*x**s - 3*x**2 - 2*x**3 + 8*x**4 + 13*x**4.
3*x**2*(x + 1)**2*(4*x - 1)
Let y be (2/(2 - -20))/((-93)/(-372)). Factor 0*x**3 + 2/11*x**5 - y*x**2 + 4/11*x**4 + 0 - 2/11*x.
2*x*(x - 1)*(x + 1)**3/11
Let x(k) = -5*k - 3. Let d be x(-2). Let h = d - 7. Factor 2/3*v**2 - 2/3*v**3 + h + 0*v.
-2*v**2*(v - 1)/3
Let u(y) = -2*y**3 - 3*y**2 - 2*y - 5. Let s be u(-2). Find h such that -2/3*h - 2/3 + 2/3*h**2 + 2/3*h**s = 0.
-1, 1
Suppose 4 = 2*s - 4*g, 3*g = 2*s + 5*g - 4. Factor -4*h**s - 3*h**3 - 9*h**5 - 15*h**4 + 7*h**2 + 0*h**2.
-3*h**2*(h + 1)**2*(3*h - 1)
Let t be 5 - (-2 - -4) - 1. Suppose -t*m + 2 = -m. Factor -6 + 2*j**m + 2*j**3 + 6.
2*j**2*(j + 1)
Let m(q) = q**3 + 15*q**2 + 23*q - 35. Let f be m(-13). Factor 14/11*h**2 + 16/11*h**3 + 6/11*h**f + 4/11*h + 0.
2*h*(h + 1)**2*(3*h + 2)/11
Suppose 8 = v - 2*p, 4*v - 24 = 5*p - p. Let s(a) be the third derivative of 0 + 0*a + 0*a**3 - 4*a**2 + 1/330*a**5 + 1/132*a**v. Suppose s(u) = 0. Calculate u.
-1, 0
Let d(w) = -2*w - 2. Let j = -6 + 2. Let v be d(j). Determine b so that -6*b**3 + b**4 - b**2 + v*b**3 = 0.
-1, 0, 1
Let p(f) be the second derivative of f**7/336 - f**6/60 + 3*f**5/160 + f**4/24 - f**3/12 + 3*f. Let p(v) = 0. What is v?
-1, 0, 1, 2
Let z(o) = -2*o**3 - 14*o**2 - 14*o + 14. Let w(b) = -b**3 - 5*b**2 - 5*b + 5. Let a(i) = -14*w(i) + 5*z(i). Factor a(k).
4*k**3
Let u = -274 - -5481/20. Let p(n) be the second derivative of 0*n**4 + 1/6*n**3 - u*n**5 - n + 0*n**2 + 0. Factor p(t).
-t*(t - 1)*(t + 1)
Find n such that -6*n - 6*n - 2*n**2 + 2*n**2 + 3*n**2 = 0.
0, 4
Let d = -1 - -3. Let q be (8 - 8)*(2 + -3). Find w such that q - 1/2*w - 1/4*w**d = 0.
-2, 0
Suppose 6*p - 10*p = -21*p. Factor 0*q**2 + p*q**3 + 0*q + 2/3*q**4 + 0 + 2/3*q**5.
2*q**4*(q + 1)/3
Let m be (-124)/(-18) - (-6)/(2/(-2)). What is p in 2/9*p**4 - m*p**3 - 8/9*p + 4/3*p**2 + 2/9 = 0?
1
Let r(y) be the first derivative of y**6/120 + y**5/80 - y**4/48 - y**3/24 - 3*y + 2. Let i(p) be the first derivative of r(p). Factor i(a).
a*(a - 1)*(a + 1)**2/4
Let u(a) = -9*a**3 - 51*a**2 - 35*a - 3. Let r(j) = -j**3 + j**2 - j - 1. Let i(f) = 10*r(f) + 2*u(f). Factor i(d).
-4*(d + 1)*(d + 2)*(7*d + 2)
Let -50 - 15*p + 3*p**2 + 50 = 0. What is p?
0, 5
Let l(y) be the second derivative of y**7/21 - 3*y**5/10 + y**4/3 + 9*y. Factor l(r).
2*r**2*(r - 1)**2*(r + 2)
Let s = -289/36 - -33/4. Factor -s*o**3 - 8/9 - 16/9*o - 10/9*o**2.
-2*(o + 1)*(o + 2)**2/9
Find j, given that 0 + 2/3*j - 2/3*j**3 - 2/3*j**2 + 2/3*j**4 = 0.
-1, 0, 1
Let b(u) = u + 3. Let l be b(0). Suppose h + 0*c - 6 = l*c, 4*h - 4 = 2*c. Factor -2/5*f**3 + h + 4/5*f - 2/5*f**2.
-2*f*(f - 1)*(f + 2)/5
Let m(z) be the third derivative of -1/525*z**7 + 0*z**3 + 0*z**4 + 0 + 0*z + 2*z**2 + 1/300*z**5 + 1/600*z**6. Factor m(y).
-y**2*(y - 1)*(2*y + 1)/5
Let i(m) be the second derivative of -m**6/360 + m**5/120 + m**4/12 + m**3/6 + m. Let s(t) be the second derivative of i(t). Suppose s(l) = 0. What is l?
-1, 2
Suppose 5*j - 29 = -9. Let 3*u + 1 - u**5 - 4*u - u**2 + 4*u**3 - u**2 - 2*u**3 + u**j = 0. What is u?
-1, 1
Let y be (-8)/28 - (-38)/70. Let j = 1/35 + y. Factor -j*v - 2/7*v**2 + 4/7.
-2*(v - 1)*(v + 2)/7
Let p(x) be the first derivative of -x**7/21 - 2*x**6/15 - x**5/10 - 2*x + 2. Let z(q) be the first derivative of p(q). Factor z(y).
-2*y**3*(y + 1)**2
Suppose -i = i - 4. Let q(s) be the second derivative of 0 + 0*s**4 - 1/20*s**5 + 1/6*s**3 + 0*s**2 + i*s. What is w in q(w) = 0?
-1, 0, 1
Let v(s) = s**2 + s + 1. Let o(i) = -7*i**2 - 7*i - 6. Let d = 5 + -4. Suppose d - 3 = 2*h. Let n(t) = h*o(t) - 6*v(t). Suppose n(u) = 0. Calculate u.
-1, 0
Let u(i) = -5*i + 4. Let n be u(3). Let l(d) = d**2 + 11*d + 2. Let h be l(n). Suppose -8*z**3 - 12*z**2 + 3 - 2*z**4 - 3*z - h - 5*z - 3 = 0. Calculate z.
-1
Let m(f) be the first derivative of 0*f**3 + 0*f**2 - 1 + 1/54*f**4 - 3*f. Let q(d) be the first derivative of m(d). Factor q(l).
2*l**2/9
Suppose 12*t = 16*t. Suppose t = -3*h + h + 4. Solve 1/2*f**h - 3/4*f**4 + 0*f + 0 + 1/4*f**3 = 0 for f.
-2/3, 0, 1
Let d(n) = 9*n**2 + n - 1. Let i(t) = -8*t**2 + 2. Let m(g) = -6*d(g) - 7*i(g). Factor m(o).
2*(o - 4)*(o + 1)
Let m(g) be the second derivative of 3*g**5/80 - 11*g**4/48 + g**3/2 - g**2/2 - 9*g. Factor m(o).
(o - 2)*(o - 1)*(3*o - 2)/4
Suppose -5*o - 3*k + 30 = 0, 0*o - o = -k + 2. Let p(x) be the third derivative of 2/3*x**o + 0 + 0*x - 1/15*x**5 - 7/60*x**6 - 2*x**2 + 7/12*x**4. Factor p(d).
-2*(d - 1)*(d + 1)*(7*d + 2)
Factor -4/3*v + 0 - 2/3*v**2 + 2*v**3.
2*v*(v - 1)*(3*v + 2)/3
Determine u so that 27 - 3 + 11*u**3 + 3*u**4 - 31*u + 10*u**3 + 91*u + 54*u**2 = 0.
-2, -1
Let z be (-1)/(((-4)/(-2))/(-54)). Let v be (-4)/(-18) + 75/z. Solve -m**4 - m**v + 0*m**3 + 4*m + m**2 - 3*m = 0.
-1, 0, 1
Let l be (1 - (-1 - -1))*1. Suppose -p + 3 = -u, -p - u - 15 = 4*u. Determine m so that -3*m + m**3 + 2*m + p*m**2 - m**2 + l = 0.
-1, 1
Let v(t) be the second derivative of -3*t**5/80 - t**4/8 + t**3/2 + 3*t**2 + 19*t. Suppose v(p) = 0. What is p?
-2, 2
Determine p, given that -2/13*p**2 + 2/13 + 0*p = 0.
-1, 1
Factor 2/9*s**4 - 4/9*s + 0*s**3 - 2/3*s**2 + 0.
2*s*(s - 2)*(s + 1)**2/9
Let m(u) = -u + 9. Let z = 9 + -2. Let t be m(z). Factor 2*d**2 - t*d + d**4 + 2*d**5 + 2*d**2 - 5*d**4.
2*d*(d - 1)**3*(d + 1)
Let a(b) be the third derivative of -b**8/504 + b**7/90 - b**6/40 + b**5/36 - b**4/72 - 6*b**2. Solve a(c) = 0.
0, 1/2, 1
Let x be (2/(-6))/((-1)/(-3)). Let c(m) = -m**4 - m**2 + m - 1. Let k(t) = -2*t**4 + 2*t**3 - 4*t**2 + 4*t - 4. Let s(y) = x*k(y) + 4*c(y). Factor s(v).
-2*v**3*(v + 1)
Let x(t) = t**2 - 3*t - 3. Let y be x(4). Let n(f) = 4*f**2