c(r) = 0.
0, 1
Let q(a) = 2*a + 22. Let z be q(7). Let j be 129/z - 4/16. Determine g, given that -4/3*g**2 + 4/3 - 10/3*g + j*g**3 = 0.
-1, 2/5, 1
Suppose 384/5*z**3 - 288/5*z**2 - 6/5 + 72/5*z = 0. Calculate z.
1/4
Let g be 1 + 12/(-16)*6/9. Determine q, given that -g*q**3 - 5/2*q + 2*q**2 + 1 = 0.
1, 2
Let s(v) be the first derivative of v**6/90 + v**5/5 + 3*v**4/2 + 6*v**3 - 3*v**2/2 - 1. Let b(t) be the second derivative of s(t). Factor b(g).
4*(g + 3)**3/3
Factor -8/9*f - 4/9*f**4 + 8/9*f**3 + 0*f**2 + 4/9.
-4*(f - 1)**3*(f + 1)/9
Let u(k) = -2*k**3 + 32*k**2 - 68*k + 68. Let r(w) = w**2 - w + 1. Let d(b) = 28*r(b) - 2*u(b). Find x such that d(x) = 0.
3
Solve 4/5*b - 2/5*b**2 + 6/5 = 0 for b.
-1, 3
Suppose 30 = 4*t - 46. Let p be t/7 - (-10)/35. Solve 60*v + 271*v**5 - 26*v**5 + 8 + 94*v**2 + 30*v**4 - 155*v**p - 282*v**4 = 0.
-2/5, -2/7, 1
Let r = -9 + 13. Factor 2*a**2 - 8*a**4 - a**r + 8*a**4 - 1.
-(a - 1)**2*(a + 1)**2
Let p(r) = 11*r**5 - 7*r**4 - 5*r**2 + 5*r. Let f(j) = -9*j**5 + 3*j**4 + j**4 - 3*j - j**2 + 3*j**5 + 4*j**2. Let l(a) = -5*f(a) - 3*p(a). Factor l(y).
-y**4*(3*y - 1)
Let q(w) = 6*w**4 + 2*w**3 - 4*w**2 - 5*w. Let y(s) = -s**4 + s**2 + s. Suppose -2*l - 7 = -3, l = -3*j + 1. Let i(n) = j*q(n) + 5*y(n). Solve i(x) = 0 for x.
-1, 0
Determine q, given that 0 - 3/8*q**4 - 3/8*q**5 + 0*q + 3/8*q**3 + 3/8*q**2 = 0.
-1, 0, 1
Let o(u) be the second derivative of -u**4/84 + u**3/21 + 9*u. Let o(q) = 0. What is q?
0, 2
Let x = 12 + -5. Let y = x + -5. Find j such that -2*j**3 + y*j + 2*j**4 + 0*j**4 - 3*j**2 + j**2 = 0.
-1, 0, 1
Let t(c) be the second derivative of c**4/24 + c**3/6 + 4*c. Factor t(l).
l*(l + 2)/2
Let y = -3 + 5. Let r(w) = 2*w**2 - 3*w + 2. Let h be r(y). Find g such that 8*g**5 - 4*g**h + 0 + 2*g**4 + 0 = 0.
0, 1/4
Factor 12/7*y**2 + 12/7*y**3 + 4/7*y + 4/7*y**4 + 0.
4*y*(y + 1)**3/7
Let a(d) be the third derivative of d**7/84 - d**6/240 - d**5/8 + 13*d**4/48 - d**3/6 + 26*d**2. Factor a(x).
(x - 1)**2*(x + 2)*(5*x - 1)/2
Factor 45/4*p - 25/4*p**3 - 15*p**2 + 0.
-5*p*(p + 3)*(5*p - 3)/4
Factor 0*v**2 + 2/9*v**4 + 2/9*v**3 + 0*v + 0.
2*v**3*(v + 1)/9
Let k(t) be the second derivative of t**8/8960 - t**6/320 + t**5/80 + t**4/6 + 2*t. Let c(v) be the third derivative of k(v). Let c(d) = 0. Calculate d.
-2, 1
Suppose 0 = 3*a + 3*g - 0*g - 3, 3*g = -3. Let r be (0/(12/6))/(-1). Factor -4/3*p - 2/3*p**3 + r - 2*p**a.
-2*p*(p + 1)*(p + 2)/3
Let z(j) be the first derivative of j**6/15 - 2*j**5/25 - 3*j**4/10 + 2*j**3/15 + 2*j**2/5 - 5. Solve z(x) = 0.
-1, 0, 1, 2
Suppose 4*g = u - 2 + 16, 0 = 2*g + u - 10. Determine y so that 2/11*y**5 - 4/11*y**3 - 2/11*y**g - 2/11 + 4/11*y**2 + 2/11*y = 0.
-1, 1
Factor 3/7*s**2 + 9/7 + 12/7*s.
3*(s + 1)*(s + 3)/7
Suppose -5*g = -q - 5, -5*g + 1 - 6 = -3*q. Let v(d) be the second derivative of -2/7*d**2 + 0 - d - 1/21*d**3 + 1/70*d**q + 1/21*d**4. Factor v(u).
2*(u - 1)*(u + 1)*(u + 2)/7
Let c(x) be the third derivative of -x**7/84 + x**6/16 - x**5/8 + 5*x**4/48 + 5*x**2. Solve c(w) = 0.
0, 1
Suppose -42*v**4 - 140*v**3 - 4*v**5 - 83*v**2 - 17*v**2 - 2*v**4 = 0. What is v?
-5, -1, 0
Let i(l) be the third derivative of l**5/12 + 5*l**4/8 - 27*l**2. Factor i(d).
5*d*(d + 3)
Let a(j) be the first derivative of 1/5*j**6 + 0*j**4 + 1/5*j + 2/3*j**3 - 3/5*j**2 - 11/25*j**5 + 2. Solve a(y) = 0.
-1, 1/3, 1/2, 1
Find k such that 0 + 2/11*k**2 - 2/11*k = 0.
0, 1
Let w(g) = g**4 - g**2 - g. Let u(q) = 9*q**4 + 4*q**3 - 13*q**2 - 5*q. Let y(t) = u(t) - 5*w(t). Factor y(v).
4*v**2*(v - 1)*(v + 2)
Let -3*q**3 - 9*q**2 + 13*q**3 + 5*q**4 + 14*q**2 = 0. Calculate q.
-1, 0
Let r(j) be the first derivative of -4 + 4/15*j**3 + 4/5*j - 4/5*j**2. Factor r(v).
4*(v - 1)**2/5
Factor 3/4*i**2 + 0*i + 0.
3*i**2/4
Let s(q) be the first derivative of 11 + 8/9*q**3 + 1/3*q**4 + 0*q**2 + 0*q. Solve s(z) = 0 for z.
-2, 0
Let s(l) = -l**2 - 5. Let u(b) = -11. Let i(c) = 5. Let y(n) = -9*i(n) - 4*u(n). Let t(d) = 3*s(d) - 15*y(d). Factor t(p).
-3*p**2
Let r(i) be the third derivative of -1/140*i**6 + 1/84*i**4 - 2/105*i**5 - i**2 + 2/21*i**3 + 0 + 0*i. Factor r(q).
-2*(q + 1)**2*(3*q - 2)/7
Let l be (-7)/6*(7 + 963/(-126)). Factor -3/4*u**3 + 0 + 3/4*u**4 - l*u**2 + 3/4*u.
3*u*(u - 1)**2*(u + 1)/4
Factor 2/3*q - 2/3*q**3 + 4/3 - 4/3*q**2.
-2*(q - 1)*(q + 1)*(q + 2)/3
Let 23/2*g**4 + g + 13/2*g**2 + 0 + 27/2*g**3 + 7/2*g**5 = 0. What is g?
-1, -2/7, 0
Let f(g) = g**2 + 2. Let u be f(-2). Let t be (-4 + u)*2/20. Factor t*h**2 + 0*h - 1/5.
(h - 1)*(h + 1)/5
Let x(n) be the third derivative of n**5/150 - n**4/30 + n**2. Factor x(b).
2*b*(b - 2)/5
Let z(c) = 5*c**2 + 3*c - 8. Let j(a) = -a**2 + 1. Let h(r) = -6*j(r) - z(r). Suppose h(x) = 0. What is x?
1, 2
Let 2 - 6*s - 3*s**2 + 3*s**2 + 5*s - s**2 = 0. What is s?
-2, 1
Let l be -6 - 6 - 0/(-2). Let z be (-5)/(-7)*l/(-10). Factor -z*a**2 + 2/7*a**4 - 4/7*a + 0 + 0*a**3.
2*a*(a - 2)*(a + 1)**2/7
Factor 0 + 1/7*c**4 + 1/7*c**3 - 2/7*c**2 + 0*c.
c**2*(c - 1)*(c + 2)/7
Let b(o) be the third derivative of 8/3*o**3 + 1/15*o**5 - 2/3*o**4 + 0*o + 0 + o**2. Factor b(m).
4*(m - 2)**2
Determine h so that -3/7*h**4 + 0 + 0*h + 6/7*h**2 - 3/7*h**3 = 0.
-2, 0, 1
Let p be (-7)/(-2) + 2/(-4). Solve p*u + u**2 - 1 + u + 4 + 1 = 0 for u.
-2
Determine m so that 2*m - m**3 + m**5 + m**5 + 0*m**3 - 3*m**3 = 0.
-1, 0, 1
Suppose -k**2 + k**3 - 2*k + 5*k - 3*k = 0. What is k?
0, 1
Let s(f) be the second derivative of 1/33*f**4 + 0*f**2 + 0 - 1/33*f**3 + f. Let s(v) = 0. Calculate v.
0, 1/2
Let r(j) be the third derivative of j**6/12 - j**5/4 - 5*j**4/12 + 10*j**2. Factor r(d).
5*d*(d - 2)*(2*d + 1)
Let m = 7 - 5. Let y be 6/4*4/m. Factor 0 + 1/2*z**5 + z**2 - 1/2*z - z**4 + 0*z**y.
z*(z - 1)**3*(z + 1)/2
Let h(k) be the third derivative of 7*k**2 + 1/168*k**8 + 2/15*k**5 + 0*k + 0*k**3 + 0 + 0*k**6 - 1/35*k**7 + 0*k**4. Factor h(o).
2*o**2*(o - 2)**2*(o + 1)
Let w(s) be the second derivative of -s**5/20 + s**4/12 + s**3/6 + 2*s**2 - 3*s. Let i be w(0). Factor -4*y**i + 0*y**4 + y**4 + 3*y**2.
-3*y**2*(y - 1)*(y + 1)
Let 28/9*a**3 - 14/9*a - 8/9*a**2 + 4/9*a**4 + 4/9 - 14/9*a**5 = 0. What is a?
-1, 2/7, 1
Suppose 4*q - b - 19 = 0, -4*q - 2*b + 0*b + 34 = 0. Let d = -4 + q. Suppose -5*z - 2 - 2*z**3 + 3*z**3 - 2*z**3 - 4*z**d = 0. What is z?
-2, -1
Let x = -31/32 + 47/32. Suppose 5/4*y + x - 1/4*y**5 - y**4 - y**3 + 1/2*y**2 = 0. What is y?
-2, -1, 1
Let n(q) be the second derivative of -q**6/120 + 3*q**5/80 - q**4/48 - q**3/8 + q**2/4 + q. Factor n(c).
-(c - 2)*(c - 1)**2*(c + 1)/4
Factor 0*o**2 + 0*o + 0 + 4/3*o**3 - 4*o**4.
-4*o**3*(3*o - 1)/3
Let m = 579 + -574. Determine g so that 0 - 1/5*g**2 + 1/5*g**m - 3/5*g**3 + 2/5*g + 1/5*g**4 = 0.
-2, -1, 0, 1
Let i(w) = w**2 - w. Suppose 4*h - 5*n = -h - 75, 2*h = 3*n - 32. Let d = h + 8. Let u(r) = -7*r**2 + 9*r - 2. Let z(k) = d*i(k) - u(k). Factor z(o).
2*(o - 1)**2
Suppose -25 = -7*c + 2*c. Suppose 5*a - 14 = 3*s, 6 = 3*s - 4*s + 2*a. Determine i, given that -4*i**2 + s*i**3 - 6*i**c + 4*i**5 + 4*i**2 = 0.
-1, 0, 1
Factor 9/7*n**2 + 6/7 - 15/7*n + 3/7*n**3 - 3/7*n**4.
-3*(n - 1)**3*(n + 2)/7
Let t = -9 + 17. Suppose 2*h = -u + 1, 0 = -3*u + t*u - 5. What is z in h*z - 2/5*z**3 + 0*z**2 + 0 = 0?
0
Let p(i) = -i**3 + 4*i**2 + 5*i + 3. Let z = -10 + 15. Let a be p(z). Solve 0 - 2/9*q**2 - 4/9*q**a - 2/9*q**4 + 0*q = 0 for q.
-1, 0
Suppose m = -5*l + 25, l - 3*m = 6*l - 25. Solve 3*y - 10*y**4 + 8*y**2 - 9*y**l + 4*y**2 - 2*y**4 + 6*y**3 = 0 for y.
-1, -1/3, 0, 1
Let n(o) be the second derivative of o**7/84 - o**6/30 - 8*o. Factor n(p).
p**4*(p - 2)/2
Factor -59 + 2*a**2 - 6*a**3 - 4*a + 59 + 8*a**2.
-2*a*(a - 1)*(3*a - 2)
Let z(t) = -9*t**3 - 129*t**2 + 193*t - 73. Let w(a) = a**3 - a**2 + a - 1. Let s(g) = 18*w(g) - 2*z(g). Factor s(r).
4*(r + 8)*(3*r - 2)**2
Let j(u) be the second derivative of -u**6/60 + u**5/40 + u**4/24 - u**3/12 + 10*u. Solve j(z) = 0.
-1, 0, 1
Let o(l) be the first derivative of -4*l**5/5 - 5*l**4 - 12*l**3 - 14*l**2 - 8*l - 1. Determine w, given that o(w) = 0.
-2, -1
Let j(d) be the first derivative of -d**6/1980 + d**5/165 - d**4/33 - 4*d**3/3 + 3. Let q(x) be the third derivative of j(x). Find g such that q(g) = 0.
2
Let m(p) be the first derivative of -p**5/30 + 5*p**4/24 - 7*p**3/18 + p**2/4 - 51. Factor m(a).
