 8*g + 1/75*g**6 + 0*g**2 + 0*g**4 + 1/50*g**5. Find m, given that k(m) = 0.
-1, 0
Let n = 7 - 1. Suppose 2 = -2*y + n. Factor 1/2*x**y + 1/2*x - 1.
(x - 1)*(x + 2)/2
Let m(l) be the third derivative of l**5/180 - l**4/36 - 2*l**2. Factor m(r).
r*(r - 2)/3
Factor -9*x**4 + 8*x**4 + 6*x**4 - 20*x**2.
5*x**2*(x - 2)*(x + 2)
Let s(g) be the third derivative of -2*g**2 - 1/14*g**5 + 0*g + 0 + 4/21*g**4 - 4/21*g**3. Determine h, given that s(h) = 0.
2/5, 2/3
Let g(n) be the first derivative of -2*n**3/27 - 4*n**2/9 - 2*n/3 + 2. Factor g(d).
-2*(d + 1)*(d + 3)/9
Let t(r) be the second derivative of -r**4/96 - r**3/24 - 6*r. Determine g so that t(g) = 0.
-2, 0
Let w(i) = 6*i**4 - 6*i**2 - 5*i. Let g(t) = -t**4 + t**2 + t. Suppose -6 = -3*d - 0*d. Suppose -d*p + 5 = 3. Let n(v) = p*w(v) + 5*g(v). Factor n(h).
h**2*(h - 1)*(h + 1)
Let r(v) = 4*v**4 - 13*v**3 + 23*v**2 - 8*v. Let b(l) = -4*l**4 + 12*l**3 - 24*l**2 + 8*l. Let h be (4/3)/(16/36). Let o(m) = h*b(m) + 4*r(m). Factor o(t).
4*t*(t - 2)*(t - 1)**2
Suppose 20 = 6*u + 4*u. Factor 1/3*a**u - 2/3 - 1/3*a.
(a - 2)*(a + 1)/3
Let s(x) be the third derivative of -3*x**6/40 + x**5/20 + x**4/4 - 6*x**2. What is k in s(k) = 0?
-2/3, 0, 1
Find j such that -2/7*j**5 + 0*j + 0*j**2 - 4/7*j**3 + 0 + 6/7*j**4 = 0.
0, 1, 2
Let m(g) be the first derivative of -g**7/280 - g**6/120 - 4*g**3/3 - 4. Let f(s) be the third derivative of m(s). Determine q so that f(q) = 0.
-1, 0
Let b(y) = -4*y**2 - 26*y + 174. Let n(f) = -5*f**2 - 26*f + 175. Let s(w) = 6*b(w) - 5*n(w). Find q such that s(q) = 0.
13
Let s be 22/(-6) - 2/(-3). Let q be s*(28/(-8) + 3). Factor q*y + 0 - 15/4*y**3 - 9/4*y**2.
-3*y*(y + 1)*(5*y - 2)/4
Factor -2*l + 2*l**2 + 5 - 5.
2*l*(l - 1)
Let x(t) = 3*t - 3. Let g be x(1). Let a(i) be the first derivative of -1/6*i**6 + g*i + 0*i**3 + 3 + 0*i**2 + 2/5*i**5 - 1/4*i**4. Factor a(l).
-l**3*(l - 1)**2
Let u(j) = j + 7. Let n be u(-5). Let k be -2*(0 + n/(-12)). Let -k*r**2 + 0*r + 1/3 = 0. Calculate r.
-1, 1
Suppose 1/4*s**3 - 1/4*s + 1/4*s**2 - 1/4*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let q(g) be the second derivative of -175*g**4/48 - 5*g**3/6 + 5*g**2/2 + 10*g. Factor q(b).
-5*(5*b + 2)*(7*b - 2)/4
Let b(c) = -c**2 + c - 1. Let r(z) = -4*z**2 + z - 4. Let q be -6 - 0*1/(-2). Let k(o) = q*b(o) + 2*r(o). What is f in k(f) = 0?
-1
Let v(o) be the second derivative of -o**3/6 + o**2/2 + 2*o. Let l be v(-2). Solve -52*a**l + 4 + 72*a**2 - 10*a + 0*a + 9*a**5 - 12*a**4 - 20*a + 9*a**5 = 0.
-2, 1/3, 1
Let l(c) be the third derivative of c**2 + 0*c**3 + 0*c**4 + 0 - 1/240*c**6 + 0*c**5 + 1/840*c**7 + 0*c. Factor l(m).
m**3*(m - 2)/4
Factor 37*t**4 + 2*t**2 - 19*t**4 - 19*t**4 - 1.
-(t - 1)**2*(t + 1)**2
Let i be (-16)/(-90)*(-9)/12*-1. Let t(u) be the second derivative of -11/20*u**5 + 1/2*u**2 - i*u**6 + 0 + 2*u - 1/6*u**3 - 3/4*u**4. Solve t(f) = 0 for f.
-1, 1/4
Let m(i) be the first derivative of 8*i**3/3 - 3*i**2/2 - 21. Let m(o) = 0. What is o?
0, 3/8
Suppose -2*u - 3 = -3*u. Factor 14*y**3 - 23*y**u - 3*y**4 + 0*y**2 - 6*y**2.
-3*y**2*(y + 1)*(y + 2)
Let q = -3 - -2. Let g = q + 1. Factor -4/7*f**4 - 2/7*f + 2/7*f**5 + 0 + 4/7*f**2 + g*f**3.
2*f*(f - 1)**3*(f + 1)/7
Let o(i) be the first derivative of i**4/10 - 4*i**2/5 + 18. Factor o(v).
2*v*(v - 2)*(v + 2)/5
Suppose -1 = -z - 6. Let u = z + 5. Find h such that 0 - 2/7*h**4 + u*h - 2/7*h**5 + 4/7*h**3 + 0*h**2 = 0.
-2, 0, 1
Let h(f) be the first derivative of 0*f**3 + 0*f**4 - f + 3/20*f**5 + 2 + 0*f**2. Let w(i) be the first derivative of h(i). Suppose w(m) = 0. What is m?
0
Suppose 0*w**2 + 0*w + 2/5*w**5 + 0*w**3 + 0 + 0*w**4 = 0. Calculate w.
0
Suppose 3*x = 3 + 3. Suppose 0*o**3 + 0*o + 2*o**4 - 2*o**x - 2*o**3 + 0*o**3 + 2*o = 0. What is o?
-1, 0, 1
Let x(o) be the second derivative of o**4/36 - 2*o**3/9 + 2*o**2/3 - 5*o. Factor x(v).
(v - 2)**2/3
Let a(w) = w**4 - 6*w**3 - 6*w**2. Let o = 1 + 5. Let d(k) = -k**3 - k**2. Let g(r) = o*d(r) - a(r). Let g(m) = 0. Calculate m.
0
Let s = -289/2 + 8671/60. Let b(m) be the second derivative of -1/15*m**3 - 2*m + 1/10*m**2 + 0 + s*m**4. Factor b(j).
(j - 1)**2/5
Factor -2 + 1/2*p**3 - 1/2*p + 2*p**2.
(p - 1)*(p + 1)*(p + 4)/2
Suppose -a = w - 1, -4 = -w + 3*a + 9. Let s(d) be the second derivative of -2*d + 1/3*d**2 + 1/30*d**5 - 1/18*d**w - 1/9*d**3 + 0. Factor s(n).
2*(n - 1)**2*(n + 1)/3
Let u(t) be the first derivative of -t**7/42 + t**5/20 + t + 1. Let k(w) be the first derivative of u(w). Factor k(o).
-o**3*(o - 1)*(o + 1)
Let y(c) be the second derivative of -1/42*c**4 + 0 - 2/7*c**3 - 4*c - 9/7*c**2. Factor y(k).
-2*(k + 3)**2/7
Let r(k) be the second derivative of 1/24*k**3 + 2*k + 0 - 1/48*k**4 + 1/4*k**2. Factor r(q).
-(q - 2)*(q + 1)/4
Find x such that -x**4 + 1/2*x**5 + 0*x - 1/2*x**3 + 0 + x**2 = 0.
-1, 0, 1, 2
Suppose -4*v - 5*s = -3*s - 6, 4*s = -2*v. Suppose -2/5*m + 0 - 1/5*m**v = 0. Calculate m.
-2, 0
Let w(k) = -18*k**2 - 11*k + 7. Let b(u) = -9*u**2 - 6*u + 3. Let m(y) = 13*b(y) - 6*w(y). What is p in m(p) = 0?
-1, -1/3
Let t(x) be the third derivative of -x**7/70 - 6*x**2. Let t(f) = 0. Calculate f.
0
Let n(z) be the first derivative of -z**7/735 + z**6/420 - z**2/2 - 1. Let l(b) be the second derivative of n(b). Factor l(t).
-2*t**3*(t - 1)/7
Let j(w) = 5*w**3 - 7*w**2 - 7*w - 7. Let g be -2 + (-20)/(-2) + -2. Let r(y) = 0*y - g*y**2 - 4 + 4*y**3 - 2 - 6*y. Let u(i) = -6*j(i) + 7*r(i). Factor u(a).
-2*a**3
Let i(j) be the first derivative of 15*j**4/4 + 10*j**3/3 - 15*j**2/2 - 10*j - 5. What is w in i(w) = 0?
-1, -2/3, 1
Let o(c) be the second derivative of -c**7/14 + 2*c**6/5 - 3*c**5/4 + c**4/2 - 11*c. Factor o(q).
-3*q**2*(q - 2)*(q - 1)**2
Find b, given that -2*b**3 + 3*b + 4*b**2 - 3*b - 2*b**4 = 0.
-2, 0, 1
Let d(g) be the first derivative of 3*g**5/5 + 3*g**4/4 + 4. Factor d(o).
3*o**3*(o + 1)
Let d(k) be the second derivative of -k**5/100 + k**4/15 - k**3/6 + k**2/5 - 5*k. Let d(o) = 0. What is o?
1, 2
Let r be 92/28 - (-6)/(-63)*3. Suppose 2*s**2 + 2/3 - 2/3*s**r - 2*s = 0. What is s?
1
Let a(p) = -9*p**5 - 6*p**4 + 12*p**3 + 6*p**2 - 9*p - 6. Let y(z) = -8*z**5 - 5*z**4 + 11*z**3 + 5*z**2 - 8*z - 5. Let x(o) = -5*a(o) + 6*y(o). Factor x(f).
-3*f*(f - 1)**2*(f + 1)**2
Let b(p) be the third derivative of -p**7/630 + p**6/60 - p**5/15 + 5*p**4/36 - p**3/6 - 7*p**2. Determine u so that b(u) = 0.
1, 3
Suppose -7*g + 7*g - 15*g = 0. Factor -15*w**3 + g - 16*w**5 - 13/4*w**2 - 28*w**4 - 1/4*w.
-w*(w + 1)*(4*w + 1)**3/4
Let x be (-6)/(-4)*(-8)/(-6). Factor 10*a**5 + 15*a**3 + 4*a**x - 5*a**4 + 10*a**4 + 3*a**3 + 19*a**4.
2*a**2*(a + 1)**2*(5*a + 2)
Let x(u) = 3*u**2 + 3*u - 9. Suppose 0*k = k + 3. Let i(m) = -6*m**2 - 6*m + 19. Let s(d) = k*i(d) - 7*x(d). Determine y so that s(y) = 0.
-2, 1
Let r(l) be the third derivative of l**7/2940 - l**5/140 - l**4/42 + 5*l**3/6 - l**2. Let m(b) be the first derivative of r(b). Solve m(y) = 0 for y.
-1, 2
Let s(a) be the first derivative of -4*a**5/25 - 3*a**4 - 20*a**3 - 50*a**2 + 21. Factor s(c).
-4*c*(c + 5)**3/5
Let b(d) be the second derivative of -d**6/70 - 3*d**5/35 - 3*d**4/14 - 2*d**3/7 - 3*d**2/14 + d. Let b(y) = 0. What is y?
-1
Let j(o) = 2*o + 8. Let w be j(5). Let g be (2/21)/(w/42). Determine p so that -2/9*p**2 + 0 - g*p**3 + 0*p + 2/9*p**4 + 2/9*p**5 = 0.
-1, 0, 1
Let v(l) be the first derivative of -l**6/12 - 3*l**5/20 + l**4/16 + l**3/4 + l**2/8 - 2. Let v(y) = 0. What is y?
-1, -1/2, 0, 1
Let a be 0 - ((-30)/(-5)*1)/(-2). Let 6/11*d**2 + 0*d + 2/11*d**a + 0 = 0. Calculate d.
-3, 0
Let 1/2*k**2 - k + 1/2 = 0. Calculate k.
1
Let r(l) = -l + 3. Let z be r(-3). Let d be (-3 - (-30)/9)*z. Let 1/4*m**3 - 1/4*m + 0 + 0*m**d = 0. What is m?
-1, 0, 1
Let v(f) be the third derivative of -f**5/12 + 5*f**4/3 - 10*f**3 + 17*f**2. Solve v(n) = 0 for n.
2, 6
Let k be (7/(-35))/(0 + (-4)/10). Solve k*q**4 + 0 + 5/2*q**2 + q + 2*q**3 = 0 for q.
-2, -1, 0
Let x(s) be the third derivative of -s**9/90720 + 7*s**5/60 + s**2. Let g(b) be the third derivative of x(b). Factor g(f).
-2*f**3/3
Let u be (-2 + 1)/((-5)/35). Suppose u = i + i - t, i - 5*t = 8. Solve -2/5 + 2/5*y**i + 2/5*y**2 - 2/5*y = 0.
-1, 1
Let q = -6 + 4. Let a be (-1)/((q/4)/1). Factor 2*d - 2*d**2 + 5*d**a + d**4 - d + 3*d**3.
d*(d + 1)**3
Let v = -425/3 - -142. Let 0*l**