 4*g**3 + 3*g**4 + 0*g**4 - 4*g**4 + 0*g**4 + g**a.
g**2*(g - 1)*(g + 1)*(4*g - 1)
Let c(s) be the first derivative of s**4/16 + s**3/3 + 5*s**2/8 + s/2 - 9. What is z in c(z) = 0?
-2, -1
Let x = 1 + 1. Factor 7*r**2 + 4 - r**x - 5*r**2 + 2*r - 3*r**2.
-2*(r - 2)*(r + 1)
Let g(o) = 3*o**2 - 7*o + 4. Let v(d) = -d**2 + 3*d - 2. Let r(n) = 3*g(n) + 7*v(n). Suppose r(l) = 0. What is l?
-1, 1
Let d = 565/1138 - -2/569. Factor 2 + 5/2*s**2 + 4*s + d*s**3.
(s + 1)*(s + 2)**2/2
Let t(y) = -18*y - 67. Let j be t(-4). Solve 0 - 9/7*h**2 + 9/7*h**4 + 6/7*h - 3/7*h**j - 3/7*h**3 = 0.
-1, 0, 1, 2
Let n be 18/20 + 6/(-15). Let y(i) be the second derivative of 1/12*i**4 + 1/3*i**3 + n*i**2 + 0 - 2*i. Factor y(k).
(k + 1)**2
Let h(d) be the first derivative of -d**4/4 + 2*d**3/3 + d**2/2 - 2*d - 9. Solve h(b) = 0 for b.
-1, 1, 2
Let m(u) be the second derivative of u**8/2240 - u**7/504 + u**6/720 + u**5/120 - u**4/2 + 7*u. Let r(n) be the third derivative of m(n). Solve r(c) = 0 for c.
-1/3, 1
Suppose -2*f**2 - 2*f + 8*f - 2*f + 6*f**2 = 0. What is f?
-1, 0
Let m(a) be the third derivative of -1/48*a**4 - 1/120*a**5 + 0*a + 0*a**3 + 0 + 2*a**2. Factor m(c).
-c*(c + 1)/2
Factor 4/3*v**3 + 16/3*v + 0 - 16/3*v**2.
4*v*(v - 2)**2/3
Let z(r) be the second derivative of -r**6/900 + r**5/300 + r**4/30 - r**3/3 - 4*r. Let x(b) be the second derivative of z(b). Find s such that x(s) = 0.
-1, 2
Let m(d) be the second derivative of -d**6/15 + 2*d**5/5 - 5*d**4/6 + 2*d**3/3 - 5*d. What is z in m(z) = 0?
0, 1, 2
Factor -2/3 + 0*x + 2/3*x**2.
2*(x - 1)*(x + 1)/3
Let f(l) be the third derivative of 2/45*l**5 + 0*l - 5/36*l**4 + 2*l**2 + 0 + 1/9*l**3. Suppose f(d) = 0. What is d?
1/4, 1
Determine v so that -9*v**2 - 3*v**3 + 3*v**4 + 2*v**3 - 5*v**3 = 0.
-1, 0, 3
Let q(l) be the second derivative of l**6/360 - l**4/24 - l**3/3 - 4*l. Let a(p) be the second derivative of q(p). Suppose a(u) = 0. What is u?
-1, 1
Let u(p) = 6*p + 4. Let j be u(-2). Let w be 6/8 + 2/j. Find t such that 1/2*t - w*t**2 + 0 = 0.
0, 1
Let d(p) be the third derivative of -3*p**8/2240 - p**7/420 - p**4/12 - 4*p**2. Let r(x) be the second derivative of d(x). What is c in r(c) = 0?
-2/3, 0
Let g be 2 - (-2 - (-2 + 1)) - -1. Let v(c) be the first derivative of 2/5*c**5 - 3 - c + 5/4*c**g - 1/2*c**2 + c**3. Factor v(k).
(k + 1)**3*(2*k - 1)
Let c(w) be the second derivative of w**8/168 + w**7/175 - w**6/150 - 2*w**2 - 3*w. Let y(n) be the first derivative of c(n). Factor y(k).
2*k**3*(k + 1)*(5*k - 2)/5
Let a(w) be the first derivative of w**4/18 - w**2/3 + 4*w/9 + 7. Suppose a(i) = 0. Calculate i.
-2, 1
Let f(t) be the third derivative of 8*t**2 + 1/80*t**6 + 0*t + 1/24*t**4 + 0 + 0*t**3 - 1/24*t**5. Let f(p) = 0. What is p?
0, 2/3, 1
Suppose -2*x = -10, 151 + 184 = 2*g - 5*x. Let c be 2/10 + 4/g. Factor 2/9 + 0*v - c*v**2.
-2*(v - 1)*(v + 1)/9
Let p be 22/(-33)*3/(-7). Factor -12/7*s - p*s**2 - 18/7.
-2*(s + 3)**2/7
Let v(k) be the second derivative of -k**4/6 - 5*k**3/3 - 6*k**2 + 16*k. Factor v(a).
-2*(a + 2)*(a + 3)
Let k = 1/578 + 67/578. Find o such that 8/17 + 0*o + k*o**3 - 6/17*o**2 = 0.
-1, 2
Determine m so that 0 - 1/7*m**2 + 0*m = 0.
0
Let c(r) = r**2 - 3*r + 2. Let t be c(3). Let z = -2875/4 - -719. Let -1/4 - 3/4*m**t + z*m**3 + 3/4*m = 0. What is m?
1
Let k(d) be the first derivative of d**6/24 + d**5/40 - 5*d**4/48 - d**3/12 - d - 1. Let u(h) be the first derivative of k(h). Solve u(z) = 0 for z.
-1, -2/5, 0, 1
Solve 3*a - 48*a**2 - 21*a**3 - a**3 - 6*a**3 + 13*a = 0 for a.
-2, 0, 2/7
Let k(x) = -3*x**4 + 7*x**3 + 3*x**2 + x + 8. Let c(q) = q**3 + 1. Let y(a) = -24*c(a) + 3*k(a). Solve y(g) = 0 for g.
-1, -1/3, 0, 1
Let k = -355 - -717/2. Factor 1/2*v - k*v**3 + 0 - 2*v**4 - v**2.
-v*(v + 1)**2*(4*v - 1)/2
Factor 10 - 2 + 6*t + 1 - 3*t**2.
-3*(t - 3)*(t + 1)
Let p(m) be the first derivative of 3/14*m**2 + 0*m + 27/28*m**4 - 5/7*m**3 + 1/7*m**6 - 3/5*m**5 + 8. Suppose p(b) = 0. What is b?
0, 1/2, 1
Let l be 0 + -2 - -10 - 1. Let -l + 7*a - 4*a**2 + 5*a + 0*a - 1 = 0. What is a?
1, 2
Let t = 256 + -248. Factor 20*d - 25/2*d**2 - t.
-(5*d - 4)**2/2
Let r(o) be the second derivative of 2*o**7/21 + o**6/3 + o**5/5 - 2*o**4/3 - 4*o**3/3 - o**2 + 3*o. Let r(u) = 0. Calculate u.
-1, -1/2, 1
Let w(n) = -6*n**2 + 9. Let j(q) = -q**2 - q + 1. Let d(k) = 3*j(k) - w(k). Factor d(l).
3*(l - 2)*(l + 1)
Let p = 66/65 - 8/13. Factor 6/5*c**3 + 2/5*c + 0 - p*c**4 - 6/5*c**2.
-2*c*(c - 1)**3/5
Let q(j) be the second derivative of 5*j**4/12 - 5*j**3/2 + 5*j**2 - 26*j. Factor q(p).
5*(p - 2)*(p - 1)
Factor -6/5*k**2 - 2/3*k**4 - 8/5*k**3 - 4/15*k + 0.
-2*k*(k + 1)**2*(5*k + 2)/15
Let s be 0 + 17/(765/18). Find w, given that -4/5*w + 2/5 + s*w**2 = 0.
1
Let k(p) be the second derivative of p**8/168 - p**7/105 - p**6/60 + p**5/30 + 3*p**2 + 4*p. Let o(t) be the first derivative of k(t). Factor o(y).
2*y**2*(y - 1)**2*(y + 1)
Let f = 30/17 - 73/51. Factor -1/3*h**3 + 1/3*h - 1/3 + f*h**2.
-(h - 1)**2*(h + 1)/3
Let k be 6 - (1 - (-4 + 2)). Factor 10/3*o**k + 5/3*o + 1/3 + 5/3*o**4 + 1/3*o**5 + 10/3*o**2.
(o + 1)**5/3
Let z be 6/4 - 7/(-2). Let s(k) be the second derivative of 0 + 3*k + 0*k**2 - 1/16*k**4 + 1/12*k**3 + 1/80*k**z. Factor s(n).
n*(n - 2)*(n - 1)/4
Factor 6/7*u**3 - 4/7*u**2 + 0*u - 2/7*u**5 + 0 + 0*u**4.
-2*u**2*(u - 1)**2*(u + 2)/7
Factor -33*y**2 + 27*y**3 + 247*y - 3 - 3*y**4 + 3 - 235*y - 3*y**5.
-3*y*(y - 1)**3*(y + 4)
Let l = -877 - -7895/9. Let 4/9*i**2 + 0*i + 0 + 2/9*i**3 - l*i**4 = 0. What is i?
-1, 0, 2
Let u(f) be the first derivative of 10/9*f**3 + 3 + 2/9*f**4 - 8/9*f + 4/3*f**2. Factor u(l).
2*(l + 2)**2*(4*l - 1)/9
Let c(x) be the second derivative of -1/3*x**3 - 1/21*x**7 + 0*x**4 + 2*x + 1/5*x**5 + 0*x**2 + 0 + 0*x**6. Factor c(p).
-2*p*(p - 1)**2*(p + 1)**2
Suppose 5*m + 200 = 50. Let z = 30 + m. Factor -4/3*s**3 + 2/3 + 4/3*s - 2/3*s**4 + z*s**2.
-2*(s - 1)*(s + 1)**3/3
Let s(h) be the second derivative of 5*h**7/42 + h**6/6 + 25*h. Factor s(x).
5*x**4*(x + 1)
Let i(c) be the third derivative of c**5/360 - c**4/18 + 6*c**2. Factor i(z).
z*(z - 8)/6
Let t(o) be the third derivative of o**7/1050 - 7*o**6/600 + o**5/20 - 13*o**4/120 + 2*o**3/15 - 11*o**2. Factor t(r).
(r - 4)*(r - 1)**3/5
Let m(k) be the third derivative of k**7/1155 - k**6/1320 - k**5/132 - k**4/132 + 18*k**2. Factor m(d).
d*(d - 2)*(d + 1)*(2*d + 1)/11
Let x(z) be the first derivative of -5*z**4/4 - 7*z**3/3 - z**2 - 1. Suppose x(f) = 0. Calculate f.
-1, -2/5, 0
Let p(h) be the second derivative of h**7/2100 + h**6/450 - h**5/300 - h**4/30 - h**3/3 + 3*h. Let u(c) be the second derivative of p(c). Factor u(a).
2*(a - 1)*(a + 1)*(a + 2)/5
Let t(a) = 5*a**2 + 5*a - 1. Suppose -4*c - 5*x + 33 = -11, 4*c = 3*x + 12. Let i(m) = -4*m**2 - 4*m + 2. Let o(y) = c*i(y) + 4*t(y). Find b such that o(b) = 0.
-2, 1
Suppose 17 = -2*c + 27. Let f(z) be the second derivative of z + 1/12*z**3 + 0*z**2 - 1/40*z**c + 1/30*z**6 + 0 - 1/12*z**4. Find s such that f(s) = 0.
-1, 0, 1/2, 1
Suppose -y = -2*w + 1, -3*w + 18 = 2*y - 1. Let k(o) = -o**3 + 2*o**2 + 3*o. Let a be k(w). Suppose -d**2 + 0*d + 1 + a*d = 0. What is d?
-1, 1
Factor 7*c**3 + 0 + c**3 + c + 2 - 9*c**3 + c**4 - 3*c**2.
(c - 2)*(c - 1)*(c + 1)**2
Suppose -4*n - 3*g + 1 = -5, -n - 2*g = 1. Factor p**2 + p**2 - n*p**2.
-p**2
Let s(n) be the second derivative of -5*n**4/12 + 40*n**3/3 - 160*n**2 + 10*n. Factor s(i).
-5*(i - 8)**2
Let b(q) = -q + 2. Let k be b(2). Let r(f) = -f**2 - f + 2. Let w be r(k). Determine m so that -m**w + 1 + 2*m**2 - 2 = 0.
-1, 1
Suppose -5*u = 2*f - 17, 8*u - 4*u + 4*f - 4 = 0. Determine j so that 4*j**5 - 3*j**u - 3*j**5 + 0*j**5 = 0.
0
Let x(z) be the first derivative of z**3/2 - 9*z**2/4 + 3*z - 11. Determine p, given that x(p) = 0.
1, 2
Determine u so that -7 + 0*u + 27*u**2 - 26*u**2 - 6*u = 0.
-1, 7
Solve 0*v**3 + 2*v**5 - 6*v + 8*v**2 + 4*v**3 + 8*v**4 - 8*v**4 - 8*v**4 = 0.
-1, 0, 1, 3
Let o(b) be the third derivative of -4*b**7/525 + 43*b**6/150 - 21*b**5/5 + 833*b**4/30 - 686*b**3/15 - 21*b**2. Factor o(h).
-4*(h - 7)**3*(2*h - 1)/5
Let n be 6 - 0*3/(-6). Let j = n - 6. Factor 0*f**2 - 2/5*f + j + 2/5*f**3.
2*f*(f - 1)*(f + 1)/5
Let p(c) be the second derivative of -c**6/480 + c**4/96 - c**2/2 - 2*c. Let i(j) be the first derivati