of -1/240*h**5 - h**2 + 0*h + 0*h**p + 1/48*h**4 + 0. Factor c(g).
-g*(g - 2)/4
Determine a, given that -2/9*a**3 - 2/9*a**2 + 4/9*a + 0 = 0.
-2, 0, 1
Let g be -3*1 + (-465)/(-153). Let m = 55/102 - g. Factor -1/4*d**4 + 0*d**2 + 1/4 + m*d - 1/2*d**3.
-(d - 1)*(d + 1)**3/4
Suppose h = 2 + 1. Let a(n) be the third derivative of -1/105*n**7 + 1/20*n**6 - 1/4*n**4 + 0 + 0*n + 2*n**2 - 1/30*n**5 + 2/3*n**h. Solve a(b) = 0 for b.
-1, 1, 2
Factor 5*c**3 - 5*c + 0*c**2 - 9 + 3*c**2 - 1 + 7*c**2.
5*(c - 1)*(c + 1)*(c + 2)
Suppose 6*q + 2 = -i + 4*q, -4*i = -q - 1. Let b(k) = -k**3 - 6*k**2 - 2*k - 9. Let w be b(-6). Factor -3*a**w + 3/5*a - 9/5*a**4 + i - 3/5*a**2.
-3*a*(a + 1)**2*(3*a - 1)/5
Let s(v) = -v**3 + v**2 - v + 1. Let i(t) = t + 4. Let w be i(-5). Let c(n) = -n**3 + 3*n**2 - 3*n + 1. Let p(m) = w*c(m) + 2*s(m). Suppose p(l) = 0. What is l?
-1, 1
Let t be (1 - (-8)/(-6))*-9. Let 7*k - 4 + 3*k - k**3 - 3*k**3 + 4*k**2 - 6*k**t = 0. Calculate k.
-1, 2/5, 1
Let l = 1 - 2. Let d be l/((-2)/(1 - -3)). Find z such that -3*z**2 + z**d + z**2 = 0.
0
Factor 1/5*b**2 + 2/5 + 3/5*b.
(b + 1)*(b + 2)/5
Let c(g) be the first derivative of -7 - 1/15*g**3 - 1/20*g**4 + 1/5*g + 1/10*g**2. Determine m, given that c(m) = 0.
-1, 1
Let j(q) be the third derivative of 0*q**3 + 0*q + 1/525*q**7 - 1/75*q**6 - 7*q**2 + 0*q**4 + 0 + 2/75*q**5. Solve j(a) = 0 for a.
0, 2
Let g be 4/(1 - (-2 - -2)). Suppose r = -2 + 3. Factor 6*x**2 + 2 - 4*x - 2*x**3 - 2*x**3 - r + x**g.
(x - 1)**4
Let k(q) = q**3 - 5*q**2 - 4*q - 4. Let d be k(6). Solve -d*u**4 - 8*u**2 - 2*u**3 + 0*u - 2*u + 14*u**3 + 2*u**5 + 4*u = 0 for u.
0, 1
Suppose -225 = -4*r + 87. Determine b so that 25*b**5 + 16 - r*b**3 + 29*b**5 - 15*b**2 - 37*b**2 + 18*b + 36*b**4 + 6*b = 0.
-1, -2/3, 2/3, 1
Let q(b) be the second derivative of -b**5/210 - b**4/42 + b**2 - 4*b. Let a(l) be the first derivative of q(l). Suppose a(o) = 0. What is o?
-2, 0
Suppose -3*d = -4*u + 2 - 6, -d - 5*u = 5. Let v(p) be the third derivative of -1/60*p**5 + d - 1/24*p**4 + 0*p - 4*p**2 + 0*p**3. Factor v(s).
-s*(s + 1)
Let l(r) be the third derivative of -1/20*r**5 + 5*r**2 + 0*r**3 + 0 - 1/8*r**4 + 0*r. Factor l(j).
-3*j*(j + 1)
Suppose 0*s = v + 4*s - 7, 49 = 3*v - 2*s. Find o such that -3*o + v*o**2 - 2 - 6 - 9*o**3 + 5 = 0.
-1/3, 1
Let g = 38 - 36. Let d(m) be the first derivative of 2/3*m + 2/3*m**3 - 8/15*m**5 - 2 + 5/6*m**4 - 5/3*m**g. Determine s so that d(s) = 0.
-1, 1/4, 1
Suppose 4*s - 2*h - 18 = -4, -h + 5 = 4*s. Solve t**s - 2 + 15*t - 16*t + 0 = 0.
-1, 2
Let s(w) be the third derivative of -w**7/140 - w**6/20 - 3*w**5/40 + w**4/4 + w**3 - 8*w**2. What is t in s(t) = 0?
-2, -1, 1
Let y(a) = -3*a**2 - 3*a. Let c(n) = n**2 + n. Let z(j) = 12*c(j) + 3*y(j). Factor z(d).
3*d*(d + 1)
Let o(r) be the first derivative of -2/5*r**2 + 0*r + 1 - 2/15*r**3. Factor o(f).
-2*f*(f + 2)/5
Let c(n) = n**2 - 4*n. Let b(w) = w. Let q(x) = 4*b(x) + c(x). Factor q(r).
r**2
Let k(z) be the third derivative of -z**7/315 - z**6/180 + 9*z**2. Let k(y) = 0. Calculate y.
-1, 0
Let m(u) = 3*u**2 - 7*u + 3. Let q(b) = -b**2 - b. Let l(v) = -5*m(v) + 10*q(v). Let t(c) = 12*c**2 - 12*c + 8. Let w(r) = 4*l(r) + 7*t(r). Factor w(g).
-4*(2*g - 1)**2
Suppose g - 4 = -1. Factor 4*k + 3*k + 2*k**2 - g*k.
2*k*(k + 2)
Let r(i) = -i**2 + 4*i + 2. Let t be r(4). Factor 2*n**3 + n**2 + 2*n**4 - 3*n**4 - t*n**2.
-n**2*(n - 1)**2
Let n(b) be the third derivative of -b**8/420 + b**6/200 + b**5/300 - 4*b**2. Find q, given that n(q) = 0.
-1/2, 0, 1
Let z(g) be the first derivative of -2*g**5/45 - g**4/9 + 2*g**2/9 + 2*g/9 + 3. Suppose z(f) = 0. What is f?
-1, 1
Factor -12*i**2 - i**3 + i**2 - 6 + 7*i + 11*i**2.
-(i - 2)*(i - 1)*(i + 3)
Suppose 6*f + 12 = 9*f. Let l(w) be the second derivative of 1/3*w**3 - 3*w + 0*w**2 + 3/10*w**5 - 1/15*w**6 - 1/2*w**f + 0. Factor l(n).
-2*n*(n - 1)**3
Let q(y) be the first derivative of -y**6/9 + 2*y**5/3 - y**4/2 - 34*y**3/9 + 28*y**2/3 - 8*y - 21. Solve q(s) = 0 for s.
-2, 1, 2, 3
Let o(b) be the second derivative of -3*b**7/28 + 2*b**6/5 - 3*b**5/10 + 5*b. Let o(g) = 0. What is g?
0, 2/3, 2
Let x(q) be the second derivative of -5*q**7/126 + q**5/12 - 28*q. Solve x(z) = 0.
-1, 0, 1
Let a = 17/7 - 44/21. Let 1/3 + 0*y - a*y**2 = 0. What is y?
-1, 1
Solve -7 - 3*r**4 - 3*r**5 + 6*r**3 + 7 = 0.
-2, 0, 1
Let m(n) be the first derivative of 2*n**3/21 + n**2/7 - 4*n/7 - 5. Find l such that m(l) = 0.
-2, 1
Let d(t) be the third derivative of -2*t**7/63 - t**6/4 - 7*t**5/12 - 95*t**4/144 - 5*t**3/12 + 20*t**2 + 2*t. Determine s, given that d(s) = 0.
-3, -1/2
Let h be -1*2 + 6 + 0. Let t be 27/126 - (-4)/14. Suppose f**h + 0*f**2 + t*f**3 + 0 + 1/2*f**5 + 0*f = 0. Calculate f.
-1, 0
Suppose -2*j = -3 - 3. Suppose 2*d + d + 24*d**4 - d - 4*d**j + 18*d**5 - 8*d**2 = 0. Calculate d.
-1, 0, 1/3
Let o(n) be the first derivative of -n**6/48 - n**5/20 + n**4/16 + n**3/6 - n**2/16 - n/4 + 1. Solve o(z) = 0.
-2, -1, 1
Suppose -d + 4 = -0. Suppose -8*b = -d*k - 3*b + 44, k + 2*b - 24 = 0. Factor -k*l - 3*l**3 + 0 - 10*l**2 + l**3 - 8.
-2*(l + 1)*(l + 2)**2
Let u(d) be the first derivative of d**7/70 - d**6/40 - d**5/10 - d**2/2 - 2. Let r(n) be the second derivative of u(n). Solve r(o) = 0.
-1, 0, 2
Let z be (-16)/(-7) + 10/(-35). Suppose 6*v = z*v. What is g in 1/3*g**2 + 0 + v*g = 0?
0
Let y(s) = 5*s**3 - 5*s**2 - s + 1. Let u(f) = -f**3 + f**2. Suppose 2*c + 1 = c. Let x(q) = c*y(q) - 4*u(q). Factor x(i).
-(i - 1)**2*(i + 1)
What is p in -2/7*p**3 + 128/7 - 160/7*p + 34/7*p**2 = 0?
1, 8
Let o be (-2)/5 + (-196)/(-40). Suppose 4*f - z = -f + 10, 2 = 4*f - 2*z. What is l in 1/2 - 27/2*l**f - o*l**2 + 3/2*l = 0?
-1/3, 1/3
Suppose 0*m - 1/3 - 1/3*m**4 + 2/3*m**2 + 0*m**3 = 0. What is m?
-1, 1
Suppose 3*q + 6*s - s = 37, 5*q - 4*s = 0. Factor 2/7*w + 4/7*w**2 + 2/7*w**5 - 2/7*w**q - 2/7 - 4/7*w**3.
2*(w - 1)**3*(w + 1)**2/7
Let n(r) be the first derivative of 2*r**3/27 - r**2/9 - 8. Determine m so that n(m) = 0.
0, 1
Let c(o) be the first derivative of -o**6/2 + 9*o**5/5 - 9*o**4/4 + o**3 - 3. Solve c(w) = 0.
0, 1
Factor -8*b + 73*b + 35*b**2 - 40*b**2 + 70.
-5*(b - 14)*(b + 1)
Let c be (0 - 0) + (1 - -2). Factor -t - 3*t - 4*t**4 + 2*t**c + 3*t**2 + 2*t + t**2.
-2*t*(t - 1)*(t + 1)*(2*t - 1)
Let w be -2 + 1/(-1) - -3. Let o(v) be the second derivative of -3*v + 0*v**2 + 0*v**3 + 0 + 1/6*v**4 - 1/15*v**6 + w*v**5. Determine p, given that o(p) = 0.
-1, 0, 1
Determine p, given that -2/3*p - 4/3 + 2/3*p**2 = 0.
-1, 2
Let x(s) be the first derivative of s**6/360 + s**5/120 - s**4/12 - s**3 - 2. Let g(t) be the third derivative of x(t). Factor g(a).
(a - 1)*(a + 2)
Suppose 3*p = 212 + 49. Let j = 271/3 - p. Determine n so that 34/3*n**3 + j*n**4 + 22/3*n + 14*n**2 + 4/3 = 0.
-1, -2/5
Let u(a) = 11*a + 159. Let l be u(-14). Factor 3/7*g**l + 0*g**4 + 0 + 3/7*g - 6/7*g**3 + 0*g**2.
3*g*(g - 1)**2*(g + 1)**2/7
Suppose -3*c - 4*g + 7 - 13 = 0, -4*c + 4*g = -20. Factor 2/3*y**5 + 16/9*y**4 + 0*y + 8/9*y**3 + 0*y**c + 0.
2*y**3*(y + 2)*(3*y + 2)/9
Let w(v) be the third derivative of v**6/360 - v**5/40 + v**4/12 + 2*v**3/3 - 5*v**2. Let j(a) be the first derivative of w(a). Factor j(u).
(u - 2)*(u - 1)
Let n(t) be the third derivative of -t**7/105 + t**5/20 - t**4/12 - t**3/6 + t**2. Let o(i) be the first derivative of n(i). Factor o(l).
-2*(l + 1)*(2*l - 1)**2
Let x(g) = g**2. Let a be x(1). Let d = a + 1. Determine k so that -2*k + 2*k**3 + 0*k**d + 3 - 1 - 2*k**2 = 0.
-1, 1
Find q, given that -6/11*q**2 + 2/11*q - 8/11*q**3 + 0 = 0.
-1, 0, 1/4
Let r(w) be the second derivative of w**4/30 + 11*w**3/30 + w**2/2 - 45*w. Solve r(u) = 0 for u.
-5, -1/2
Let c(f) be the second derivative of -f**7/420 + f**5/20 - f**4/6 - f**3/2 - f. Let l(t) be the second derivative of c(t). Factor l(z).
-2*(z - 1)**2*(z + 2)
Let p be 15/60*2*3. Factor -g**3 + 0 + 5/2*g**4 + 0*g + 0*g**2 - p*g**5.
-g**3*(g - 1)*(3*g - 2)/2
Let w(u) be the first derivative of -4/3*u**3 + u**4 - 10 + 0*u + 0*u**2. Factor w(g).
4*g**2*(g - 1)
Let o(y) = -y**5 - 6*y**4 + y**3 + y**2 - 3*y + 2. Let q(i) = -6*i**4 + 2*i**3 + 2*i**2 - 4*i + 2. Let z(j) = -2*o(j) + 3*q(j). Factor z(v).
2*(v - 1)**4*(v + 1)
Let v(k) be the second derivative of 5*k**7/42 - k**6/6 - 2*k - 1. Find a, given that v(a) = 0.
0