ive of -b**7/315 + b**6/45 - b**5/18 + b**4/18 + 19*b**2. Suppose m(a) = 0. What is a?
0, 1, 2
Find u, given that -3/5*u**3 + 0 - 3/5*u + 6/5*u**2 = 0.
0, 1
Let p be 24/20 + (-222)/210. Factor 1/7 - 1/7*k - 1/7*k**2 + p*k**3.
(k - 1)**2*(k + 1)/7
Suppose -4*w + 11*w = -w. Let w - 1/2*k**2 + 1/2*k = 0. Calculate k.
0, 1
Factor -4/5*j**2 + 0*j - 14/5*j**3 + 0 + 18/5*j**4.
2*j**2*(j - 1)*(9*j + 2)/5
Let z = -30 - -30. Let r(u) be the second derivative of -1/70*u**6 + 0*u**3 + 1/28*u**4 + z + 1/98*u**7 + 0*u**2 + u - 3/140*u**5. Let r(n) = 0. Calculate n.
-1, 0, 1
Let q be -1*(-2)/30 + (-447)/(-745). What is g in 1/3*g**2 + q - g = 0?
1, 2
Solve 2/5*z**4 - 2*z**2 + 0*z + 0 + 8/5*z**3 = 0 for z.
-5, 0, 1
Suppose -z + 6 = 2*z. Suppose -5*w - 5*s + 14 = -21, 0 = 5*w - z*s. Factor 1/4*i**w - 3/4*i + 1/2.
(i - 2)*(i - 1)/4
Suppose 17 = 5*h + 62. Let d(m) = -3*m**3 - 6*m**2 - 24*m - 12. Let b(g) = -4*g**2 + 2*g**2 + 3*g**2. Let k(l) = h*b(l) + d(l). Solve k(i) = 0.
-2, -1
Suppose m + 2*m = 6. Let p(u) be the first derivative of m - 2/9*u**3 + 2/3*u**2 - 2/3*u. Factor p(s).
-2*(s - 1)**2/3
Let h(l) = 9*l**3 + 20*l**2 + 56*l + 72. Let r(k) = -k**3 - k**2 - k - 1. Let q(x) = 3*h(x) + 24*r(x). Factor q(s).
3*(s + 4)**3
Let v = 1324/7 + -188. Let 8/7*p - 10/7*p**2 + v - 6/7*p**3 = 0. Calculate p.
-2, -2/3, 1
Let m(n) be the third derivative of -n**7/168 + n**6/60 - n**5/120 + 2*n**3/3 + 2*n**2. Let p(l) be the first derivative of m(l). Solve p(s) = 0 for s.
0, 1/5, 1
Let m(r) = r**2 - 1. Let y be m(1). Let h = 1276/7 - 182. Find l such that h*l**2 + y*l - 2/7 = 0.
-1, 1
Let j(g) = -g**2 + g - 1. Let n(m) = -4*m**2 + 2*m - 4. Let v(y) = 6*j(y) - n(y). Factor v(o).
-2*(o - 1)**2
Let n(s) be the third derivative of -s**6/120 - s**5/30 + s**4/24 - s**3/2 + 8*s**2. Let i be n(-3). Factor 1/2*f**2 - 1/2*f**i + 1/2*f - 1/2.
-(f - 1)**2*(f + 1)/2
Let x = -716 - -2170/3. Let z = x - 7. Factor -d**3 - z*d**2 + 0 + 2/3*d.
-d*(d + 1)*(3*d - 2)/3
Let p(h) = 5*h**3 + 5*h**2 + 7*h - 7. Let m(r) be the first derivative of r**4/2 + 2*r**3/3 + 3*r**2/2 - 3*r - 1. Let w(u) = 7*m(u) - 3*p(u). Factor w(g).
-g**2*(g + 1)
Let q(b) = b**2 - 4*b - 3. Let g be q(5). Factor 7*a + 3*a**3 - 9*a**2 - a + 0*a**g.
3*a*(a - 2)*(a - 1)
Let q(m) be the first derivative of -1/7*m**2 + 0*m**4 + 4 + 4/21*m**3 - 4/35*m**5 + 1/21*m**6 + 0*m. Factor q(w).
2*w*(w - 1)**3*(w + 1)/7
Let k(z) = -4*z + 0*z + z - 3. Let c be k(-2). Factor 0*j - c*j**4 + 0*j**2 + j**2 + 4*j**3 - 2*j.
-j*(j - 1)**2*(3*j + 2)
Let s(o) = o**2 - 7*o - 28. Let b be s(10). Suppose -20 = -5*q + q. Suppose 0 - 4/13*v - 6/13*v**b - 126/13*v**q + 6*v**4 + 58/13*v**3 = 0. What is v?
-1/3, 0, 2/7, 1
Let i = -119 + 121. Determine b so that -2/3*b**4 - 2/9*b**3 + 0 + 0*b + 4/9*b**i = 0.
-1, 0, 2/3
Suppose 0 = 5*m - 37 - 53. Let y be m/4 - (-6)/(-4). Factor x**y + x - x**2 - x.
x**2*(x - 1)
Let -36*a**3 - 27*a**2 - 4*a + 12*a**2 + 5*a**2 - 16*a**4 - 14*a**2 = 0. Calculate a.
-1, -1/4, 0
Let q(v) be the first derivative of 1/30*v**3 - v + 1/60*v**4 - 4 + 0*v**2. Let s(l) be the first derivative of q(l). Solve s(n) = 0 for n.
-1, 0
Let l be 3*1/2*2. Find i such that 21*i**3 - 3*i**4 - 21*i**3 + l*i**2 = 0.
-1, 0, 1
Let l be 4/((-6)/5 - -1). Let s be (-3)/(-4) + (-57)/l. Factor -2/5 - s*x**2 - 12/5*x.
-2*(3*x + 1)**2/5
Solve 5*c + 10 + 2*c**2 + 5*c**4 - 7*c**2 - 5*c**3 + c**2 - 11*c**2 = 0.
-1, 1, 2
Suppose 2*d + 4 = 4*d. Suppose d + 18 = 4*t. Factor -5/2*r + 5*r**2 + 5/2*r**4 - 5*r**3 - 1/2*r**t + 1/2.
-(r - 1)**5/2
Let b(w) be the second derivative of -w**4/30 - w**3/6 - w**2/5 - 5*w. Factor b(d).
-(d + 2)*(2*d + 1)/5
Factor 1/6*f**2 + 2/3 - 2/3*f.
(f - 2)**2/6
Let m(r) be the second derivative of r**9/20160 - r**4/6 - 3*r. Let i(d) be the third derivative of m(d). Find y such that i(y) = 0.
0
Let m = 4 - 8. Let o be (-2)/(1/(1/m)). Solve -o - 1/2*u + 1/2*u**2 + 1/2*u**3 = 0 for u.
-1, 1
Let t(l) be the first derivative of l**5/30 + l**4/8 + l**3/6 + l**2/12 - 5. Solve t(k) = 0.
-1, 0
Let q(a) be the third derivative of 1/210*a**5 + 0*a + 1/42*a**4 + 0 + 0*a**3 - 2*a**2. Factor q(x).
2*x*(x + 2)/7
Let o(p) be the third derivative of -p**2 + 3/10*p**6 + 0*p**3 - 11/30*p**5 + 0 + 0*p + 1/6*p**4 - 3/35*p**7. Find q such that o(q) = 0.
0, 1/3, 2/3, 1
Let n(k) = -k**2 - 4*k - 3. Let w be n(-3). Let j be w + 3 + 1 + 0. Find g, given that -g - g + j + g**2 - 3 = 0.
1
Let d be -2*4/(-160)*(4 + -2). Let o(b) be the first derivative of 0*b**2 + 3 + 4/25*b**5 + 0*b + 1/15*b**6 + 0*b**3 + d*b**4. Factor o(t).
2*t**3*(t + 1)**2/5
Let f(z) be the second derivative of -z**6/75 - z**5/50 + z**4/30 + z**3/15 - z. Suppose f(n) = 0. What is n?
-1, 0, 1
Let i(o) be the second derivative of -3*o**4/5 + 8*o**3/5 - 8*o**2/5 - 13*o. Determine r, given that i(r) = 0.
2/3
Factor -3*a + 5*a + 0*a + a**2 + 0*a**2.
a*(a + 2)
Let t(y) be the first derivative of -y**4/12 + y**2/6 - 6. Solve t(d) = 0 for d.
-1, 0, 1
Let k(j) be the third derivative of j**7/672 + j**6/180 + j**5/480 - j**4/48 - 2*j**3/3 + 2*j**2. Let z(u) be the first derivative of k(u). Factor z(h).
(h + 1)**2*(5*h - 2)/4
Let v(p) be the second derivative of p**7/504 - p**6/240 - p**5/60 - p**4/6 + 2*p. Let r(s) be the third derivative of v(s). Factor r(q).
(q - 1)*(5*q + 2)
Let v(h) be the first derivative of h**7/126 + h**6/45 - h**4/18 - h**3/18 + 5*h + 1. Let d(f) be the first derivative of v(f). Factor d(g).
g*(g - 1)*(g + 1)**3/3
Let d(m) be the first derivative of 2 - 8/7*m + 4*m**2 - 14/3*m**3. Find i such that d(i) = 0.
2/7
Suppose 4*f + 2*c = c + 15, 4*f = -5*c + 27. What is d in 2*d**2 + 0*d + d**2 - f*d = 0?
0, 1
Suppose 4*w - t - 15 = 0, -4*t + 30 = w + w. Let p(m) be the third derivative of 0*m**3 + 0 - 2*m**2 - 1/60*m**w + 0*m + 0*m**4. Factor p(k).
-k**2
Let l(z) be the first derivative of -2 + 1/33*z**3 - 1/110*z**5 + 0*z**2 - 1/165*z**6 + 1/66*z**4 + z. Let f(a) be the first derivative of l(a). Factor f(d).
-2*d*(d - 1)*(d + 1)**2/11
Let m be 33/12 + 2/8. Factor m*a**2 - 6 - a + 3*a + a - 6*a.
3*(a - 2)*(a + 1)
Let i(p) be the first derivative of -p**6/30 + p**5/6 + p**4/4 + 2*p**2 + 2. Let o(d) be the second derivative of i(d). Solve o(c) = 0.
-1/2, 0, 3
Suppose -2*h - 3*h + 19 = 3*l, 4*h - l - 5 = 0. Let b(i) be the third derivative of h*i**2 - 1/180*i**5 + 1/72*i**4 + 0 + 0*i + 1/9*i**3. Factor b(n).
-(n - 2)*(n + 1)/3
Let g(r) be the third derivative of -2/315*r**7 + 1/1008*r**8 + 0*r**3 + 1/72*r**4 - 3*r**2 + 0*r - 1/45*r**5 + 0 + 1/60*r**6. Solve g(w) = 0.
0, 1
Let l(t) = -30*t**4 - 55*t**3 + 15*t**2 + 5*t + 5. Let n(g) = -45*g**4 - 82*g**3 + 23*g**2 + 7*g + 7. Let h(s) = -7*l(s) + 5*n(s). Factor h(f).
-5*f**2*(f + 2)*(3*f - 1)
Let k(a) be the second derivative of a**9/1512 - a**8/210 + a**7/105 + 5*a**3/6 + 7*a. Let p(d) be the second derivative of k(d). Factor p(z).
2*z**3*(z - 2)**2
Suppose -4*a + 4*t = -a + 14, -t = -a - 3. Factor -1/3*h**3 + 1/3*h**4 + 0*h + 0 - 1/3*h**a + 1/3*h**5.
h**2*(h - 1)*(h + 1)**2/3
Let n(k) be the second derivative of k**4/4 - k**3 + 3*k**2/2 - 19*k. Determine j so that n(j) = 0.
1
Let f(w) be the first derivative of 0*w + 3 + 1/18*w**3 + 0*w**2. Factor f(r).
r**2/6
Let o = 428/21 - 61/3. Let n(u) be the second derivative of 1/3*u**4 + u**2 - 1/5*u**5 - 1/5*u**6 + 0 + u**3 - o*u**7 + 2*u. Factor n(c).
-2*(c - 1)*(c + 1)**4
Let p = 10 + -9. Suppose -4*v = -7 - p. Determine u, given that 2/7*u**v + 0*u - 2/7*u**3 + 0 = 0.
0, 1
Let r(k) be the third derivative of k**6/540 - k**5/135 + k**4/108 + 8*k**2. Factor r(h).
2*h*(h - 1)**2/9
Suppose -11 + 11 = -47*k. Factor 1/3*d - 1/3*d**3 + 1/3*d**2 - 1/3*d**4 + k.
-d*(d - 1)*(d + 1)**2/3
Let u(x) be the third derivative of x**6/210 + x**5/105 - x**4/21 - 48*x**2. Factor u(b).
4*b*(b - 1)*(b + 2)/7
Let k(t) be the first derivative of t**4/6 + 2*t**3/3 + t + 4. Let z(p) be the first derivative of k(p). Suppose z(f) = 0. Calculate f.
-2, 0
Let f(c) = 2*c - 3*c - c**3 + 0*c**3 + c**2. Let z(n) = 2*n**4 + 4*n**3 - 4*n**2. Let j = 17 + -15. Let w(m) = j*f(m) + z(m). Factor w(h).
2*h*(h - 1)*(h + 1)**2
Suppose 6 = 3*s - 3*k, 1 + 4 = 5*k. Let m be ((-1)/s)/((-1)/6). Factor 3/4*b**4 + 0*b + 1/4*b**m - 3/4*b**3 - 1/4*b**5 + 0.
-b**2*(b - 1)**3/4
Let f(x) be the first derivative of -x**4/16 - x**3/4 + x**2/8 + 3