et l(w) = 0. What is w?
-1, 1
Let v(n) = n**2 + n + 2. Suppose -7*k = -2*k. Let t be v(k). Find w such that -w**2 - w**2 + w + 2 + w**t = 0.
-1, 2
Let o(b) be the second derivative of b**4/3 - 2*b**3/3 - 12*b**2 + 2*b. Factor o(r).
4*(r - 3)*(r + 2)
Let n(o) = -4*o**4 + 9*o**3 + 9*o**2 - 5. Let m(a) = 5*a**4 - 10*a**3 - 10*a**2 + 6. Let g(q) = 5*m(q) + 6*n(q). Determine w so that g(w) = 0.
-2, 0
Let p(g) be the first derivative of 3 + 2/9*g**6 + 0*g**2 + 5/3*g**4 + 10/9*g**3 + g**5 - 1/3*g. Factor p(f).
(f + 1)**4*(4*f - 1)/3
Factor 2/7*q + 3/7 - 1/7*q**2.
-(q - 3)*(q + 1)/7
Let g(j) = j + 9. Let p be g(-4). Let m(f) be the first derivative of 0*f**2 + 1 - 6/35*f**p - 3/14*f**4 - 1/21*f**6 - 2/21*f**3 + 0*f. Factor m(v).
-2*v**2*(v + 1)**3/7
What is a in 3/7*a**2 + 1/7*a + 0 + 1/7*a**4 + 3/7*a**3 = 0?
-1, 0
Let x(m) be the third derivative of -m**5/240 - m**4/32 - m**3/12 - 5*m**2. Find f, given that x(f) = 0.
-2, -1
Let l(h) be the third derivative of -h**7/210 - h**6/120 + h**5/60 + h**4/24 + h**2. Factor l(w).
-w*(w - 1)*(w + 1)**2
Suppose 4*p + 0*p = 0. Suppose -3*j + 0*j = p. Let j + 1/4*k**2 + 0*k = 0. Calculate k.
0
Let b(t) = -t**2 - 1. Let y(q) = -15*q**2 + 60*q + 10. Let p(m) = 30*b(m) + y(m). Factor p(z).
-5*(3*z - 2)**2
Suppose -3*o + 0*p = 2*p - 19, 0 = -2*o + 5*p - 19. Determine k, given that 0*k**2 + 0 + 2/7*k - 2/7*k**o = 0.
-1, 0, 1
Determine p, given that -3/4*p**3 + p + 1/4*p**5 - 1/2*p**4 + p**2 + 0 = 0.
-1, 0, 2
Find k, given that 3/2*k + 9/4 - 3/4*k**2 = 0.
-1, 3
Factor -4*m**4 + 2*m + 4*m**3 + 2*m**4 - 2*m.
-2*m**3*(m - 2)
Let k = 35 - 30. Factor -4/3*r**3 - 4/3*r**2 + 2/3*r**k + 2/3*r**4 + 2/3 + 2/3*r.
2*(r - 1)**2*(r + 1)**3/3
Let i(j) = -j**2 - 19*j + 22. Let x be i(-20). Factor -2/3*c**x - 4/3 - 2*c.
-2*(c + 1)*(c + 2)/3
Determine q, given that -11/5*q**3 + 31/5*q**2 - 16/5*q - 4/5 = 0.
-2/11, 1, 2
Let z be (30/25 + 0)*5. Let q(y) be the second derivative of 0*y**3 + 1/90*y**5 - 1/189*y**7 + 0*y**2 - 2*y + 1/135*y**z - 1/54*y**4 + 0. Factor q(f).
-2*f**2*(f - 1)**2*(f + 1)/9
Let k(x) be the third derivative of 0 + 1/12*x**4 + 1/3*x**3 + 1/180*x**6 - x**2 + 0*x + 1/30*x**5. Let n(j) be the first derivative of k(j). Factor n(i).
2*(i + 1)**2
Let f(m) = m**3 + 4*m**2 + m - 2. Let a be f(-3). Suppose 0*d + a*d = 8. Solve 3*w**2 + w + 0*w**2 + 3*w**3 - w**4 - 6*w**d = 0 for w.
0, 1
Solve 27/2*a**2 + 3/2*a**4 + 3 + 21/2*a + 15/2*a**3 = 0 for a.
-2, -1
Let -23*k - k**2 + 1 - 4 + 0 + k**3 + 18*k = 0. What is k?
-1, 3
Let f be 5 + 2*2/4. Let p(x) = 3*x**2 + 12*x + 18. Let n(u) = 9*u**2 + 36*u + 53. Let z(d) = f*n(d) - 17*p(d). Factor z(y).
3*(y + 2)**2
Let p = -1/266 - -545/3458. Factor p*n**2 - 4/13 + 2/13*n.
2*(n - 1)*(n + 2)/13
Let n(r) = -5*r**3 - 29*r**2 - 5*r**4 + 29*r**2. Let x(k) = -51*k**4 - 51*k**3. Let h(a) = -21*n(a) + 2*x(a). Let h(q) = 0. Calculate q.
-1, 0
Let c = 59/10 - 22/5. Let i be 2 + 2 + 7/(-2). Factor -3/2*k**2 - 1/2 - i*k**3 - c*k.
-(k + 1)**3/2
Suppose -3*x = 2*v + 2*x + 14, -2*x = -4*v + 20. Let h(b) be the first derivative of -1/2*b**2 + 0*b - 1 - 1/6*b**v. Factor h(k).
-k*(k + 2)/2
Let y(g) be the second derivative of -g**7/2520 + g**6/360 + g**5/40 - 2*g**4/3 - 3*g. Let s(r) be the third derivative of y(r). Find v, given that s(v) = 0.
-1, 3
Suppose -2*a + 0 = -4. Let b be a/4*3/3. Factor t**2 - 1/2 - b*t.
(t - 1)*(2*t + 1)/2
Let v(q) be the second derivative of -q**6/270 - q**5/36 - q**4/18 - 21*q. Solve v(h) = 0 for h.
-3, -2, 0
Let p(q) be the first derivative of 1/15*q**5 - 2/9*q**3 + 0*q**2 + 4 + 1/3*q + 0*q**4. Suppose p(r) = 0. What is r?
-1, 1
Let w = 0 - -3. Let t(l) be the third derivative of 0 + w*l**2 + 0*l**3 + 1/24*l**4 + 0*l + 1/60*l**5. Factor t(a).
a*(a + 1)
Let x(s) be the third derivative of s**7/840 + s**6/480 - s**5/240 - s**4/96 + 2*s**2. Factor x(v).
v*(v - 1)*(v + 1)**2/4
Let x(a) be the second derivative of -1/50*a**5 + 0 + 2*a + 0*a**3 + 1/20*a**4 + 0*a**2. Determine f, given that x(f) = 0.
0, 3/2
Let b(f) = f**3 + 49*f**2 + 107*f + 48. Let z(v) = -16*v**2 - 36*v - 16. Let k(i) = 4*b(i) + 11*z(i). Factor k(o).
4*(o + 1)*(o + 2)**2
Let f(p) = -p**2 + 7*p - 2. Let g be f(6). Suppose 8 = 4*m + g*n, m + 6 = -m + 3*n. Factor -1/3 + m*v + 1/3*v**2.
(v - 1)*(v + 1)/3
Factor -2/15*t**3 + 2/15*t**2 + 0 + 4/5*t.
-2*t*(t - 3)*(t + 2)/15
Let m(z) = -7*z**4 - 17*z**3 - 15*z**2 - 10*z - 2. Let q(j) = 8*j**4 + 18*j**3 + 14*j**2 + 10*j + 2. Let p(s) = -4*m(s) - 3*q(s). Let p(b) = 0. Calculate b.
-1, -1/2
Determine j, given that -6*j**2 - 129 - 6*j**4 - 40*j**3 - 41*j + 97 - 90*j**2 - 55*j = 0.
-2, -2/3
Let x(d) be the first derivative of d**6/18 - d**5/3 + d**4/2 + 4*d**3/9 - 4*d**2/3 + 2. Solve x(j) = 0.
-1, 0, 2
Let h(g) be the first derivative of 5 + 1/3*g**2 - 4/3*g + 8/9*g**3 - 1/2*g**4. Suppose h(a) = 0. What is a?
-2/3, 1
Let d(a) be the second derivative of -1/9*a**3 - 2/9*a**4 + 2/63*a**7 + 2*a + 0 + 1/6*a**2 - 1/30*a**5 + 7/90*a**6. Factor d(c).
(c - 1)*(c + 1)**3*(4*c - 1)/3
Let k(o) be the first derivative of 4*o**5/5 - 2*o**4 - 4*o**3 + 16*o**2 - 16*o - 7. Let k(g) = 0. What is g?
-2, 1, 2
Let i be ((-1)/(-5))/(2 - -1). Let h(x) be the third derivative of -1/30*x**4 + 0*x + 1/150*x**5 + 0 + i*x**3 - x**2. Determine g so that h(g) = 0.
1
Let u = -74/3 + 25. Find g such that -2/3 + 1/3*g**2 - u*g = 0.
-1, 2
Let f(u) be the first derivative of -1/48*u**4 - 2 + 0*u + 0*u**3 - u**2 + 1/240*u**5. Let k(w) be the second derivative of f(w). Factor k(x).
x*(x - 2)/4
Let z(b) be the second derivative of b**4/18 - 14*b**3/9 + 49*b**2/3 - 2*b + 10. Let z(p) = 0. Calculate p.
7
Let x be (-1)/(-6) + (-17)/(-6). Suppose -f + o = -x*f + 3, -3*f + 11 = -5*o. Let -1/2*a + 1/2*a**f + 1/2*a**3 - 1/2 = 0. What is a?
-1, 1
Find w such that 8*w**5 - 2*w + 11*w**4 + 0*w**2 - 2*w**2 + 18*w**3 - 33*w**4 = 0.
-1/4, 0, 1
Suppose -2*h + 3*h - 16 = -4*g, 0 = -5*h - g + 23. Let b be h*(15/7 - 2). Factor -2/7*z**4 + 0*z**2 + b*z**3 + 2/7 - 4/7*z.
-2*(z - 1)**3*(z + 1)/7
Let i = 12 - 7. Factor 10*d**3 - 3*d**i - 10*d**3 - 6*d**2 - 9*d + 12*d**3 + 6.
-3*(d - 1)**3*(d + 1)*(d + 2)
Let x(j) be the third derivative of -j**8/336 + j**7/42 + 2*j**2 - 3*j. Determine i so that x(i) = 0.
0, 5
Let d = 1/1576 - -9451/7880. Factor 3/5*y**5 + 0*y + 0 + 3/5*y**4 + 0*y**2 - d*y**3.
3*y**3*(y - 1)*(y + 2)/5
Let x = -7/74 + 5497/222. Let w = x + -24. Determine m so that 0*m - 2/3 + w*m**2 = 0.
-1, 1
Let g(c) be the second derivative of c**4 + 5*c**3/2 + 3*c**2/2 - 6*c. Let g(t) = 0. Calculate t.
-1, -1/4
Let s(u) be the third derivative of u**7/2520 + u**6/1080 - 2*u**3/3 + 3*u**2. Let y(r) be the first derivative of s(r). Solve y(b) = 0 for b.
-1, 0
Solve -45/2*a + 5 - 15/2*a**4 + 5/2*a**2 - 10*a**5 + 65/2*a**3 = 0 for a.
-2, -1, 1/4, 1
Determine p, given that 55*p**3 - 44*p**3 - 6*p**2 + p - 3*p**4 - p = 0.
0, 2/3, 3
Let j(x) be the first derivative of -3 + 0*x**2 + 0*x**3 - 1/60*x**5 + 2*x + 2/45*x**6 + 0*x**4. Let p(t) be the first derivative of j(t). Factor p(l).
l**3*(4*l - 1)/3
Let c(m) = -5*m**3 - 5*m**4 - 4*m - 7*m**2 + 0*m + 3*m. Let h = -12 - -18. Let k(i) = 6*i**4 + 6*i**3 + 8*i**2 + i. Let y(g) = h*k(g) + 7*c(g). Factor y(w).
w*(w - 1)*(w + 1)**2
Let w be 1/(0 - -1) + 2. Factor 2*x**5 - 33*x - 18*x**3 + x**5 + 4*x**2 - 11 + w*x**4 + 2 - 46*x**2.
3*(x - 3)*(x + 1)**4
Suppose -9 + 23 = 2*k. Solve 8*q**2 - 3*q - k*q**2 + 3*q = 0 for q.
0
Let w(h) = h + 1. Let d be w(4). Let k(j) = -j + 7. Let i be k(d). Factor p + 0*p**4 - 4*p**5 - 2*p**4 - p + i*p**3.
-2*p**3*(p + 1)*(2*p - 1)
Let o = -11192/9 - -1244. Let y be (-8)/6*(-3)/2. Factor 2/9*b - o - 2/9*b**3 + 4/9*b**y.
-2*(b - 2)*(b - 1)*(b + 1)/9
Determine y, given that y + 5*y**3 - 2*y**2 - 6*y**3 + 1 + y**2 = 0.
-1, 1
Suppose -j - 3 = -5. Solve -8*u**2 + 2 + 5*u**2 - u + 2*u**j = 0 for u.
-2, 1
Let a be (6/(-75))/(1/(-1 + -4)). Suppose 0 - a*m**3 - 2/5*m**4 + 0*m + 4/5*m**2 = 0. What is m?
-2, 0, 1
Let k = -133 - -267/2. Factor -5/4*d**2 - 1/4 + k*d**3 + d.
(d - 1)**2*(2*d - 1)/4
Let m = -342 - -342. Let 0*l**3 + 2/3*l**2 + m - 2/3*l**4 + 1/3*l - 1/3*l**5 = 0. Calculate l.
-1, 0, 1
Suppose -4*c**4 - 4*c**3 - 3*c**4 - 3*c**2 + 5*c**4 + c**2 = 0. Calculate c.
-1, 0
Let n be (-4)/((-4)/(-16)*1). Let h be (-13 - n)*(3 - 2). Suppose -2/3*k - 2/3*k**h - 4/3*k**2 + 