 - a - l**3 + 3*l**2.
-(l - 2)**2*(l + 1)
Suppose 0 = -t + 6*t - 10. Find q, given that q**2 + t*q - 3*q - 2*q**2 = 0.
-1, 0
Let o be (4/10)/(6/30). Suppose 4*h**2 + 0*h**3 - 7*h**o + 3*h**3 = 0. What is h?
0, 1
Let i(y) be the first derivative of y**5/20 + y - 1. Let k(w) be the first derivative of i(w). Solve k(v) = 0.
0
Let i(n) be the first derivative of -2/27*n**3 + 0*n - 3 + 1/9*n**2. Solve i(p) = 0.
0, 1
Let x be (16/14)/((72/28)/9). Let k = 10/19 - 11/57. Solve 0*p - p**3 + 0 - 4/3*p**x + k*p**2 = 0.
-1, 0, 1/4
Let f(a) be the first derivative of -2/45*a**5 + 0*a**3 - 1/27*a**6 + 3 + 0*a**4 + 0*a**2 + 0*a. Factor f(s).
-2*s**4*(s + 1)/9
Factor -1/8*m**3 + 0 - 3/4*m + 5/8*m**2.
-m*(m - 3)*(m - 2)/8
Let t(w) = -6*w**3 + 9*w**2 - 3. Let y(p) = 13*p**3 - 18*p**2 + 7. Let i(a) = -7*t(a) - 3*y(a). Suppose i(d) = 0. Calculate d.
0, 3
Let g = 2/547 + 541/1641. Determine w, given that 1/3 - 1/3*w**3 - 1/3*w**2 + g*w = 0.
-1, 1
Suppose -3*z - z = -5*a + 44, z - 6 = -3*a. Let v(f) = f**2 + 4*f + 7. Let r(d) = -3*d**2 - 11*d - 20. Let b(k) = z*r(k) - 17*v(k). Find x such that b(x) = 0.
1
Let o(z) be the second derivative of -z**4/4 + z**3/2 + 3*z**2 - 7*z. Suppose o(a) = 0. What is a?
-1, 2
Let q(x) = -x**3 + 5*x**2 + 9*x - 7. Let u be q(6). Suppose -5*f + 2*m = -39, f + 2*m = u + 4. Factor 7*a**5 + 0*a**5 - f*a**5.
-2*a**5
Let d(b) be the second derivative of -1/3*b**2 - 1/63*b**7 + 1/9*b**4 + 2*b - 1/45*b**6 + 1/15*b**5 + 0 - 1/9*b**3. Find p such that d(p) = 0.
-1, 1
Let r(h) be the first derivative of -4*h**5/35 + 5*h**4/7 - 12*h**3/7 + 2*h**2 - 8*h/7 - 6. Let r(p) = 0. What is p?
1, 2
Let q(o) be the first derivative of -9*o**5/5 - 3*o**4/4 + 3*o**3 + 3*o**2/2 - 6. Determine u, given that q(u) = 0.
-1, -1/3, 0, 1
Let b = -21 + 24. Let g(k) be the first derivative of 1/8*k**2 + 0*k - 1 - 1/12*k**b. Suppose g(c) = 0. Calculate c.
0, 1
Let c be -2*3/(-13 + -5). Factor 0*m**3 + 0*m + c*m**5 + 0*m**2 + 1/3*m**4 + 0.
m**4*(m + 1)/3
Let l(i) be the first derivative of -i**5/3 - 5*i**4/6 - 5*i**3/9 + 27. Factor l(j).
-5*j**2*(j + 1)**2/3
Factor -2/11*l - 2/11*l**2 + 12/11.
-2*(l - 2)*(l + 3)/11
Let o(p) = 6*p**3 + 6*p**2 + 9*p + 6. Let a(d) = 7*d**3 + 5*d**2 + 9*d + 7. Let j(q) = 3*a(q) - 4*o(q). Factor j(i).
-3*(i + 1)**3
Let k be (-134)/(-10) + 38/(-95). Let m be 4 - (k/3 + -2). Factor 2/3 - 1/3*p**3 - m*p + 4/3*p**2.
-(p - 2)*(p - 1)**2/3
Let z(q) = -6*q + 2. Let r be z(-2). Factor 14 + l - l**2 - r.
-l*(l - 1)
Suppose 5*s = -3*k + 7 + 11, 0 = -2*k + 2. Factor -6*j**3 + 5*j**s - 2*j**2 + 6*j - 4*j - j**3 + 2.
-2*(j - 1)*(j + 1)**2
Let z(o) be the first derivative of -4*o**3/15 - 5. Let z(x) = 0. Calculate x.
0
Let p(x) = 3*x**2 - 24*x - 54. Let v(b) = b + 8. Let o be v(-7). Let a(z) = z**2 - 1. Let j(l) = o*p(l) - 6*a(l). Factor j(u).
-3*(u + 4)**2
Let q be ((48/(-10))/(-6))/(2/5). Solve 1/2*i**3 - 1/2*i - 1/2*i**4 + 1/2*i**q + 0 = 0.
-1, 0, 1
Let x(c) be the second derivative of 0 - 1/6*c**4 + 2/3*c**3 - 2*c + 3*c**2. Factor x(s).
-2*(s - 3)*(s + 1)
Factor 6/13*v**2 + 14/13*v + 4/13.
2*(v + 2)*(3*v + 1)/13
Let l(o) be the second derivative of -7/75*o**6 + 0*o**2 + 7/30*o**4 + 0 - 2/15*o**3 + 3*o + 1/25*o**5. Let l(k) = 0. Calculate k.
-1, 0, 2/7, 1
Let m = 0 - -2. Suppose 4/3*r**m + 0 + 1/3*r**3 + r = 0. What is r?
-3, -1, 0
Let j be (-2)/(-6) + 10/6. Let b(d) = 6*d - 45. Let o be b(8). Factor -2*y + 2*y + j*y**o.
2*y**3
Let a(y) be the third derivative of y**7/1995 - y**5/570 - 14*y**2. Find h such that a(h) = 0.
-1, 0, 1
Let j(w) be the second derivative of -w**5/160 + w**4/96 + w**3/48 - w**2/16 + 7*w. Solve j(s) = 0.
-1, 1
Let a(r) be the second derivative of r**6/180 + r**5/60 - r**4/6 - 4*r**3/3 + 8*r. Let z(i) be the second derivative of a(i). Let z(v) = 0. What is v?
-2, 1
Let s(n) be the third derivative of 2/15*n**5 + 1/10*n**6 + 0*n**3 + 1/12*n**8 + 0 + 0*n - 8*n**2 - 8/35*n**7 + 0*n**4. Factor s(t).
4*t**2*(t - 1)**2*(7*t + 2)
Let b = -1885 - -20753/11. Factor 8/11 + b*h**4 + 60/11*h**3 + 74/11*h**2 + 40/11*h.
2*(h + 1)**2*(3*h + 2)**2/11
Let d(f) be the first derivative of -2/15*f**3 - 1/5*f**4 - 3 + 0*f + 0*f**2 - 2/25*f**5. Let d(x) = 0. What is x?
-1, 0
Factor -4 - p**2 - 7*p**2 + 12*p**2.
4*(p - 1)*(p + 1)
Let m(p) be the third derivative of -p**6/160 + 7*p**4/32 + 3*p**3/4 - 34*p**2. Find h, given that m(h) = 0.
-2, -1, 3
Let x(a) be the third derivative of a**8/72 + 4*a**7/105 + a**6/60 - a**5/45 - 9*a**2. Factor x(q).
2*q**2*(q + 1)**2*(7*q - 2)/3
Let i(k) be the second derivative of k**8/4200 - k**7/2100 - k**6/900 + k**5/300 + k**3/3 + 2*k. Let h(t) be the second derivative of i(t). Factor h(p).
2*p*(p - 1)**2*(p + 1)/5
Let d(g) = -g - 2. Let c be d(-2). Let f(z) be the first derivative of c*z**2 + 1 + 1/6*z**3 - 1/2*z. Factor f(i).
(i - 1)*(i + 1)/2
Factor 0 + 1/3*s - 1/3*s**3 + 1/3*s**4 - 1/3*s**2.
s*(s - 1)**2*(s + 1)/3
Let v(y) be the second derivative of y**7/84 - y**6/45 - 7*y**5/120 + y**4/18 + y**3/9 - 7*y. Let v(k) = 0. Calculate k.
-1, -2/3, 0, 1, 2
Let b = 1 - -3. Let z = -4 + b. Factor 3*y**3 - y**3 + 4*y**2 + z*y**3.
2*y**2*(y + 2)
Let m be (-2)/(-2) + (4 - 5). Let o be 27/18 - (-14)/(-20). Suppose -o*x**2 - 2/5*x + m = 0. Calculate x.
-1/2, 0
Let f(t) be the second derivative of -t**5/180 + t**4/24 - t**3/9 - 3*t**2/2 - t. Let j(b) be the first derivative of f(b). Determine w so that j(w) = 0.
1, 2
Let 22*q**3 - 21*q**3 + 0 + 4 - 3*q**2 = 0. Calculate q.
-1, 2
Let c(s) be the second derivative of -s**4/36 - s**3/2 - 10*s - 4. Solve c(v) = 0.
-9, 0
Let w(u) be the third derivative of u**10/453600 - u**9/90720 + u**8/60480 - u**5/60 - 4*u**2. Let d(i) be the third derivative of w(i). What is n in d(n) = 0?
0, 1
Let b(l) be the second derivative of -2/27*l**3 + 0 + 1/54*l**4 + 0*l**2 + 3*l. Solve b(h) = 0.
0, 2
Let v(y) = y**3 + 13*y**2 + 11*y - 9. Let n(i) = i**2 - 6*i - 4. Let d be n(4). Let a be v(d). Factor 2/3*g**4 + 0 - 2/3*g**a + 0*g**2 + 0*g.
2*g**3*(g - 1)/3
Let a(m) be the second derivative of -m**4/4 + 2*m**3 - 9*m**2/2 + 3*m. Factor a(q).
-3*(q - 3)*(q - 1)
Let i(r) be the third derivative of r**5/360 - 7*r**4/72 + 49*r**3/36 - 10*r**2. Factor i(k).
(k - 7)**2/6
Let q(d) = 6*d**2 + 7*d - 4. Let z(y) = 7*y**2 + 83*y - 5 + 0*y**2 - 75*y. Let n(s) = -6*q(s) + 5*z(s). Factor n(w).
-(w + 1)**2
Let p(y) be the first derivative of 1/20*y**5 + 0*y + 4 + 0*y**2 + 1/8*y**4 + 0*y**3. Factor p(o).
o**3*(o + 2)/4
Suppose 2 - 14 = -3*a. Suppose 12 = a*d - 2*x, -3*d = -2*d + x. Suppose -1/2*w**d - w - 1/2 = 0. Calculate w.
-1
Solve 2/7*i - 2/7*i**3 + 0 - 2/7*i**4 + 2/7*i**2 = 0 for i.
-1, 0, 1
Let v(r) = -9*r**4 + 9*r**3 + 20*r**2 - 20*r + 11. Let u(k) = -1 - 3 - 7*k**2 + 3*k**3 + k - 6*k**3 + 3*k**4 + 6*k. Let w(x) = 11*u(x) + 4*v(x). Factor w(z).
-3*z*(z - 1)**2*(z + 1)
Let n(i) be the third derivative of i**8/336 + i**7/70 + i**6/120 - i**5/20 - i**4/12 - 6*i**2. Solve n(z) = 0 for z.
-2, -1, 0, 1
Let b(r) = -10*r**2 - 9 + 15*r - 9*r + 13*r. Suppose -4*h - 42 = 10. Let p(q) = 5*q**2 - 9*q + 4. Let x(m) = h*p(m) - 6*b(m). Factor x(a).
-(a - 1)*(5*a + 2)
Solve -f + 7*f**5 + 12*f**4 - 9*f**3 + 12*f**3 + f - 2*f**2 = 0 for f.
-1, 0, 2/7
Let b(k) be the first derivative of k**4/2 - 52*k**3/3 + 169*k**2 - 40. Find v, given that b(v) = 0.
0, 13
What is j in 28*j**4 - 29*j**2 + 35*j**3 + 13*j**2 + 13*j**3 = 0?
-2, 0, 2/7
What is t in 0 + 2/5*t**4 + 6/5*t**2 + 6/5*t**3 + 2/5*t = 0?
-1, 0
Let x(y) be the first derivative of y**6/240 - 3*y**5/40 + 9*y**4/16 + 2*y**3 - 2. Let r(b) be the third derivative of x(b). Factor r(n).
3*(n - 3)**2/2
Let q be 3 - (2 - (4 - 2)). What is y in -y**5 - y**3 - 4*y**3 + 3*y**5 + q*y**3 = 0?
-1, 0, 1
Let p(c) = -c**5 - c**2. Let m(d) = 9*d**5 + 72*d**4 + 129*d**3 + 108*d**2 + 51*d + 9. Let n(b) = 4*m(b) - 28*p(b). Factor n(w).
4*(w + 1)**3*(4*w + 3)**2
Let d be -2 + (-1856)/(-399) - 2. Let x = d - -2/133. Find o, given that -8/3*o**4 - 4*o**3 - 8/3*o**2 - 2/3*o**5 + 0 - x*o = 0.
-1, 0
Let t(i) = -4*i**3 + i**2 - 2*i + 1. Let o be t(1). Let z be o*((-24)/(-28) + -1). Solve z - 2/7*d - 2/7*d**2 = 0 for d.
-2, 1
Let d be (-4)/30 - 49/(-105). Factor i**2 + 0 - d*i**3 + 1/3*i - i**4.
-i*(i - 1)*(i + 1)*(3*i + 1)/3
Suppose 5*r + 2*p = 11, -2*r + 4*p + 11 = -r. Factor -2/5*a**2 + 0*a - 2/5*a**4