ve of -h**5/300 + h**4/5 - 24*h**3/5 - 33*h**2 - 2. Solve l(x) = 0 for x.
12
Suppose 2*q + 0 = 4. Suppose 2*c - 6*k - 10 = -q*k, 3*k = 4*c - 40. Let 3 + 6*h**3 - 7 - 2 + 2 - h**4 + 12*h - c*h**2 = 0. What is h?
1, 2
Let x(y) be the first derivative of 9*y**5 + 15*y**4/4 - 40*y**3/3 - 10*y**2 + 14. Factor x(f).
5*f*(f - 1)*(3*f + 2)**2
Let d(m) be the second derivative of m**7/14 + m**6/30 - m**5/10 - 22*m. Factor d(h).
h**3*(h + 1)*(3*h - 2)
Let v(l) be the second derivative of l**7/84 + l**6/15 + l**5/40 - 7*l**4/12 - 5*l**3/3 - 2*l**2 + 3*l. Let v(u) = 0. Calculate u.
-2, -1, 2
Let z = -2 + 5. Suppose -3*g + 2*p = 0, -2*p = -g - z - 1. Let -2*a**2 + g*a**3 + 0*a + 2*a - 2*a = 0. Calculate a.
0, 1
Let n be 10*(-1)/(-6)*(-2)/(-10). Let c(b) be the second derivative of 1/10*b**5 + 0*b**2 - n*b**4 + 1/3*b**3 - b + 0. Factor c(l).
2*l*(l - 1)**2
Let n be 60/18 - 4/3. Let r(x) be the second derivative of -n*x - 3/80*x**5 - 7/48*x**4 + 0 + 1/24*x**6 + 1/4*x**2 + 1/8*x**3. Factor r(y).
(y - 1)**2*(y + 1)*(5*y + 2)/4
Let j = 26 - 11. Suppose -4*y + 1 = -j. Factor 2*k**4 + 8*k - y*k**4 + 0*k**4 - 2 + 8*k**3 - 12*k**2.
-2*(k - 1)**4
Let s be (70/(-49) - -1)/((-2)/8). Factor s*x**3 + 0 + 4/7*x - 12/7*x**2 - 4/7*x**4.
-4*x*(x - 1)**3/7
Let x(m) be the first derivative of -2 + 9/10*m**5 + 0*m + 1/2*m**3 + 0*m**2 + 3/2*m**4. Factor x(i).
3*i**2*(i + 1)*(3*i + 1)/2
Let l(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 2*z**2 + 1/540*z**6 - 1/270*z**5. Factor l(i).
2*i**2*(i - 1)/9
Let l(x) be the third derivative of -x**7/980 + x**6/252 - x**5/210 - x**3/6 - 11*x**2. Let o(q) be the first derivative of l(q). Determine s so that o(s) = 0.
0, 2/3, 1
Let f(u) be the third derivative of u**8/1512 - u**6/540 + 5*u**2. Determine p, given that f(p) = 0.
-1, 0, 1
Let h be 0 - ((-3)/(-36))/((-4)/12). What is w in -3*w**5 - 1/2*w - 11/4*w**4 + 7/2*w**3 + 3*w**2 - h = 0?
-1, -1/4, 1/3, 1
Let m = 54 + -54. Let r(b) be the third derivative of 0*b**3 - 3*b**2 + 0*b + 0*b**4 - 1/90*b**5 - 1/315*b**7 + m - 1/90*b**6. Determine w, given that r(w) = 0.
-1, 0
Let n(i) = -i**3 + 6*i**2 - 3*i + 4. Let j be n(5). Factor -5*b - 28*b - j*b**2 + 0 - 8 + b.
-2*(b + 2)*(7*b + 2)
Suppose -2*c + 96 = 4*c. Let t be 5/4 + 4/c. Solve f + 1/4 + t*f**2 + f**3 + 1/4*f**4 = 0.
-1
Let w(i) be the first derivative of 1/7*i**6 - 2/35*i**5 + 2/7*i**2 - 2 - 5/14*i**4 + 2/21*i**3 + 0*i. Let w(x) = 0. Calculate x.
-1, -2/3, 0, 1
Let v(n) = n**3 + 3*n**2 + 2*n - 4. Let j be v(-4). Let a be 1/(-3) - j/12. Factor 2*b**a - 2/3*b - 4/3*b**3 + 0.
-2*b*(b - 1)*(2*b - 1)/3
Find p, given that 8*p**2 - 24*p**3 - 10*p**3 + 6*p**3 = 0.
0, 2/7
Let o be 1/(-7) - (10/28 + -1). Let -1/2*b + 1/2*b**2 - 1/2 + o*b**3 = 0. What is b?
-1, 1
Let g(i) be the second derivative of -10*i + 13/48*i**4 + 1/80*i**5 - 1/4*i**2 + 0 - 5/24*i**3 - 11/120*i**6 + 1/42*i**7. What is a in g(a) = 0?
-1, -1/4, 1, 2
Factor -84*p**2 + 53*p**2 + 40*p**2 + 6*p - 3.
3*(p + 1)*(3*p - 1)
Suppose -w + 4 + 0 = 0. Suppose -w = -l - l. Factor -2*j**5 + 4/3*j**3 + 0 + 0*j**l - 2/3*j**4 + 0*j.
-2*j**3*(j + 1)*(3*j - 2)/3
Let o be (32/(-10))/(-1 + 3/5). Let t(r) be the first derivative of o*r**2 - 25/4*r**4 + 4*r + 2 + 5/3*r**3. Solve t(a) = 0.
-2/5, 1
Factor -19*o**4 - 24*o**3 - 21*o**4 + 36*o**4 - 16 - 52*o**2 - 9*o - 39*o.
-4*(o + 1)**2*(o + 2)**2
Let x(u) = -u**3 + 6*u**2 - 6*u + 3. Let j be x(4). Determine y so that 61 - 4*y**2 - 61 + 3*y**3 + j*y**3 - 10*y**4 = 0.
0, 2/5, 1
Factor -8*y + 2 - y**4 + 17*y**2 - 6*y**3 + 3*y**4 - 2*y**3 - 5*y**2.
2*(y - 1)**4
Let y(m) be the third derivative of m**6/180 - m**5/45 - m**4/12 + 6*m**2. Let y(g) = 0. What is g?
-1, 0, 3
Let h(c) = -c**3 + c. Let r(v) = -v**3 + v. Let l = 5 - 2. Let w(g) = l*h(g) - 6*r(g). Suppose w(f) = 0. What is f?
-1, 0, 1
Let m(p) = -p**4 - p**3 - 1. Let j(x) = x**4 - x**3 - x**2 + 3*x + 4. Let s(t) = j(t) + 2*m(t). Factor s(y).
-(y - 1)*(y + 1)**2*(y + 2)
Suppose -2*d + 3 = -1. Let u(l) be the first derivative of 1 + d*l**3 + 2*l - 3*l**2 - 1/2*l**4. Factor u(r).
-2*(r - 1)**3
Let q(n) = n**3 + 25*n**2 + n + 27. Let p be q(-25). Let -3 + p*o - 1/3*o**2 = 0. Calculate o.
3
Let v = -236 - -236. Factor v + 8/5*m + 2/5*m**3 - 8/5*m**2.
2*m*(m - 2)**2/5
Solve -12*r**3 - 5*r**2 - 31*r**2 - 10 - 27*r + 4 = 0.
-2, -1/2
Let i = -536/3 - -180. Suppose -5/3*q + 1/3*q**5 - 2/3*q**2 - 2/3 + 4/3*q**3 + i*q**4 = 0. What is q?
-2, -1, 1
Let h(m) be the second derivative of m**6/4 + 3*m**5/40 - m**4/2 - 36*m. Factor h(n).
3*n**2*(n + 1)*(5*n - 4)/2
Let n(u) = -u + 1. Let f be n(-1). Let r be 24/(-18)*6/(-4). Let r*q**2 - 4 + 4 - 5*q**f = 0. What is q?
0
Let r be (20/12)/((-1)/(-3)). Suppose 8 = -4*f + r*c, -2*f = -2*c + c - 2. Factor p**3 + p**f + 4*p**4 - 1 - 3*p**4 - 2*p.
(p - 1)*(p + 1)**3
Let c = 4 - 3. Let i = 1 + c. Find l such that -1/2 + 1/2*l**2 - i*l + 2*l**3 = 0.
-1, -1/4, 1
Let n be -2 + (10 - (-2 + 0)). Suppose -4*d + n = -2. What is i in d + 27/2*i**3 - 3*i**2 - 27/2*i = 0?
-1, 2/9, 1
Let q(i) = -i**5 + 2*i**4 + 5*i**3 - 2*i**2 - 4*i. Let l(z) = -6*z**5 + 12*z**4 + 31*z**3 - 11*z**2 - 24*z. Let f(n) = -6*l(n) + 39*q(n). Factor f(p).
-3*p*(p - 2)**2*(p + 1)**2
Let g = 13/2 - 6. Factor 0 + g*u**2 + 1/2*u.
u*(u + 1)/2
Let q(n) be the second derivative of n**5/50 - n**3/15 + 11*n. Find x such that q(x) = 0.
-1, 0, 1
Let m = -1009 + 90811/90. Let h(f) be the second derivative of 0*f**3 - m*f**5 + 0 - 1/135*f**6 + 0*f**4 + 0*f**2 + f. Factor h(q).
-2*q**3*(q + 1)/9
Factor 2/7*v**2 + 2/7 + 4/7*v.
2*(v + 1)**2/7
Determine o so that 46*o**2 - 72 + 45*o**2 - 93*o**2 + 24*o = 0.
6
Let q(y) be the second derivative of -7*y**6/225 - 23*y**5/150 - 3*y**4/10 - 13*y**3/45 - 2*y**2/15 + 26*y. What is c in q(c) = 0?
-1, -2/7
Factor 0 - 4/3*d**3 - 2/3*d + 1/3*d**4 + 5/3*d**2.
d*(d - 2)*(d - 1)**2/3
Let y(c) be the first derivative of -c**6/165 + c + 2. Let k(w) be the first derivative of y(w). Determine u, given that k(u) = 0.
0
Let r(y) be the third derivative of -y**10/226800 + y**5/20 - y**2. Let n(k) be the third derivative of r(k). Let n(h) = 0. What is h?
0
Suppose -6 - 3 = -3*m. Let i(w) be the second derivative of 0 - w - 4/3*w**2 + 4/9*w**m - 1/18*w**4. Factor i(j).
-2*(j - 2)**2/3
Suppose -2*l + 3*u + 4 = 0, -5 - 2 = -3*l + 4*u. Suppose s - 5*n = -8, s + l*n = 21 + 1. Factor -x**2 - 4*x**2 + s*x**2.
2*x**2
Let t(p) = -5*p**2 + 10*p - 11. Let i(k) = -k**2 + 2*k - 2. Let y(u) = 11*i(u) - 2*t(u). Find l such that y(l) = 0.
0, 2
Let x(f) = -2*f**2 + 2*f + 4. Let g(u) = 7*u**2 - 6*u - 16. Let d(m) = 6*g(m) + 22*x(m). Suppose d(v) = 0. What is v?
2
Let t(j) = -j**3 + j**2 + j. Let k(x) = -4*x**2 + x - 1. Let i be k(1). Let g = -2 - i. Let b(y) = -2. Let d(v) = g*t(v) + b(v). Solve d(r) = 0.
-1, 1
Suppose -q = -l + 5, -l + 5*q = 3*q - 8. Factor -2/3*z + 0 - z**l + 1/3*z**3 + 1/3*z**5 + z**4.
z*(z - 1)*(z + 1)**2*(z + 2)/3
Let p(t) be the second derivative of -1/168*t**7 + 0*t**6 + 0*t**4 + 0*t**2 + 1/40*t**5 + 0 + 3*t - 1/24*t**3. Let p(l) = 0. What is l?
-1, 0, 1
Suppose 0 = -4*r - 23 - 29. Let s = r + 15. Factor -2/5*x**s + 2/5*x**3 + 0 - 4/5*x.
2*x*(x - 2)*(x + 1)/5
Let a(l) = -l**3 - l**2 - l - 1. Let w(v) = -5*v**3 - 2*v**2 - v - 4. Let d(k) = 6*a(k) - w(k). Factor d(y).
-(y + 1)**2*(y + 2)
Let d(r) be the third derivative of r**10/30240 + r**9/5040 + r**8/2240 + r**7/2520 + r**4/24 - r**2. Let t(c) be the second derivative of d(c). Solve t(x) = 0.
-1, 0
Suppose 10 = -2*c + 7*c. Solve 0*s**c + 0*s + 0 + 2/9*s**3 - 2/9*s**4 = 0.
0, 1
Let j(l) be the first derivative of l**6/3 - 4*l**5/5 - l**4 + 8*l**3/3 + l**2 - 4*l - 10. Let j(w) = 0. Calculate w.
-1, 1, 2
Let p(r) be the third derivative of -1/60*r**6 + 0*r + 0 - 3*r**2 + 0*r**4 - 4/3*r**3 + 1/10*r**5. Solve p(d) = 0.
-1, 2
Let m(i) = -6*i**4 + 12*i**2 + 9*i - 3. Let d(r) = -11*r**4 + r**3 + 25*r**2 + 18*r - 5. Let y(z) = 3*d(z) - 5*m(z). Find l, given that y(l) = 0.
-1, 0, 3
Let v(t) be the first derivative of -5*t**5/3 + 5*t**4/2 - 5*t**3/9 + 14. Suppose v(h) = 0. Calculate h.
0, 1/5, 1
Factor -1/2*n**3 + 11/6*n + 1/2 + 5/6*n**2.
-(n - 3)*(n + 1)*(3*n + 1)/6
Find b such that b**2 - 1 + 1/3*b**3 - 1/3*b = 0.
-3, -1, 1
Let h be (1/(-2))/((-3)/18). Factor 2*y**2 + y**4 + y**h - 4*y**4 + 2*y**4.
-y**2*(y - 2)*(y + 1)
Let w(b) be t