n**4 - 2*n**4 - g*n**3 + n**3 = 0.
-1, -2/5, 0
Let i(r) = 2*r**2 + 5*r - 2. Let g be i(-4). Find l such that 7*l**2 + 0*l**2 + 11*l**2 + 13*l**5 - 4*l + l**5 - g*l**3 - 18*l**4 = 0.
-1, 0, 2/7, 1
Let q(s) = 3*s**2 + 27*s + 21 - 12*s + 33*s**2. Let i(k) = 7*k**2 + 3*k + 4. Suppose -3*m - m = 16. Let f(u) = m*q(u) + 21*i(u). Suppose f(j) = 0. What is j?
-1, 0
Let q = 6 + -4. Solve p**2 - 5*p**2 + q*p**2 + 3*p**2 = 0 for p.
0
Suppose 3*k - f + 4*f + 3 = 0, 0 = k + 3*f + 1. Let r be (-36)/(-27) + k + 0. What is a in -2/3*a**5 + 1/3*a + a**4 - a**2 + r*a**3 + 0 = 0?
-1, 0, 1/2, 1
Suppose -52 - 146 = -33*l. Factor 14/3*j**3 + 10*j**2 + 2/3*j**4 + 0 + l*j.
2*j*(j + 1)*(j + 3)**2/3
Let f = 333 + -333. Factor f*m + 1/6 - 1/2*m**2 - 1/3*m**3.
-(m + 1)**2*(2*m - 1)/6
Let p(a) = -a**3 + 16*a**2 - 15*a + 2. Let y be p(15). Let f be (y/10)/((-21)/(-168)). Suppose 8*m + 18/5*m**2 + f = 0. Calculate m.
-2, -2/9
Let a(r) = 55*r**3 - 65*r**2 - 120*r. Let z(h) = 5*h**3 - 6*h**2 - 11*h. Let f(g) = -6*a(g) + 65*z(g). Factor f(t).
-5*t*(t - 1)*(t + 1)
Let g(m) = 7*m**3 + 6*m**2 - 5*m. Let x = 7 + -5. Let z(h) = 6*h**3 + 6*h**2 - 6*h. Let a(o) = x*z(o) - 3*g(o). Factor a(q).
-3*q*(q + 1)*(3*q - 1)
Let d = 3 - 0. Suppose 4*g = h - 11, h = -3*g - d - 0. Solve 2*t**4 + 2*t**h - 2*t**3 - 4*t**2 + 2 = 0.
-1, 1
Let m(g) be the third derivative of -g**7/180 + g**6/72 + g**5/30 - g**4/8 + g**2. Let y(k) be the second derivative of m(k). Factor y(t).
-2*(t - 1)*(7*t + 2)
Let i be (-2 - 0) + (3 - 3). Let k be (8/(-1 - 1))/i. Find w such that -3*w**2 + 2*w**k - 2 + 0*w**2 - 3*w = 0.
-2, -1
Let v = 10 + -8. Let o(b) be the third derivative of 2*b**v + 0*b**3 + 0*b + 0 - 1/240*b**6 + 1/48*b**4 + 0*b**5. Factor o(y).
-y*(y - 1)*(y + 1)/2
Let d(i) = 11 + 14*i**2 + 1 - 20*i**3 + 2*i + 16*i. Let o(g) = -7*g**3 + 5*g**2 + 6*g + 4. Let c(p) = 5*d(p) - 14*o(p). Find m such that c(m) = 0.
-1, 2
Suppose 3*k + 5 = 4*v, -4*v + 4*k + 0 = -4. Factor v*b - b**2 - 2 + 7 - 5.
-b*(b - 2)
Suppose -14*r + 9 = -33. Factor -4/9*u**r + 2/9*u**4 + 4/9*u + 0*u**2 - 2/9.
2*(u - 1)**3*(u + 1)/9
Suppose -d - 2 = -4. Suppose -5*k - 4*t + t = -22, t = 4. Let 2*h**3 + 4 + 2*h - d + k*h + 6*h**2 + 2*h = 0. What is h?
-1
Let b be 2/9 + (-512)/198. Let r = -212/99 - b. Factor 0 - 2/9*p**2 + r*p.
-2*p*(p - 1)/9
Let j(g) be the first derivative of -3*g**4 - 20*g**3/3 - 4*g**2 - 6. Factor j(v).
-4*v*(v + 1)*(3*v + 2)
Let x(i) = i**2 - 2*i + 4. Let s be x(4). Let b = -7 + s. Factor 32/9*v**3 + 4/9*v**b + 28/9*v**2 + 4/3*v + 2*v**4 + 2/9.
2*(v + 1)**4*(2*v + 1)/9
Let g = -15 + 14. Let o be ((-2)/(-30))/(g/(-6)). Factor 4/5*m - 2*m**2 + 0 + 8/5*m**3 - o*m**4.
-2*m*(m - 2)*(m - 1)**2/5
Factor -2/3*k + 0 + 1/3*k**2.
k*(k - 2)/3
Let l(n) be the third derivative of 2*n**2 + 0*n - 1/150*n**6 + 0*n**4 + 1/150*n**5 + 1/525*n**7 + 0*n**3 + 0. What is a in l(a) = 0?
0, 1
Let k(g) be the second derivative of g**7/21 - g**6/5 + g**5/5 - 2*g. Let k(w) = 0. Calculate w.
0, 1, 2
What is o in -1/6*o**3 - 1/6*o**4 + 1/6*o + 1/6*o**2 + 0 = 0?
-1, 0, 1
Let o(j) be the third derivative of -j**6/1260 - j**5/210 - j**4/84 - j**3/6 + j**2. Let s(q) be the first derivative of o(q). Factor s(b).
-2*(b + 1)**2/7
Suppose 785 = 5*l + 2*o, -2*l = -3*o - 377 + 82. Let f = -771/5 + l. Determine m so that -2/5 + f*m + 6/5*m**2 = 0.
-1, 1/3
Suppose -3*u - 3 = 0, -2*f + 3*u = 2*u - 5. Suppose 2*l + 5*a = 3*a + 8, 0 = 5*l + f*a - 14. Determine w so that 0*w + 0 - 1/4*w**3 - 1/4*w**l = 0.
-1, 0
Let w(o) = -o**2 + 2*o. Let n(i) = -4*i**2 + 11*i - 12. Let t(y) = n(y) - 5*w(y). Find r, given that t(r) = 0.
-4, 3
Let s(y) be the third derivative of -25*y**8/224 + 11*y**7/28 + 7*y**6/10 + 3*y**5/10 - 6*y**2. Solve s(x) = 0 for x.
-2/5, 0, 3
Let x(m) be the second derivative of -m**6/420 - m**5/210 + m**2/2 - 4*m. Let z(u) be the first derivative of x(u). Determine h so that z(h) = 0.
-1, 0
Let x = -97 - -139. Factor 14*t**3 + 8*t**2 - x*t**3 + 98*t**5 + 42*t**4 - 20*t**3.
2*t**2*(t + 1)*(7*t - 2)**2
Let n(p) = -p**3 + 7*p**2 + p - 5. Let m be n(7). Suppose 0 = -w - m, -3*x + 18 = -2*w + 8. Solve g**3 + 2*g**2 + g**3 + 2*g + x*g**2 = 0.
-1, 0
Let h(s) be the third derivative of -s**8/840 + 4*s**7/525 - s**6/75 - 2*s**2. Find x such that h(x) = 0.
0, 2
Let s(v) be the second derivative of v**8/168 + 2*v**7/105 + v**6/60 + 5*v**2 + 7*v. Let q(w) be the first derivative of s(w). What is j in q(j) = 0?
-1, 0
Suppose -7*h + 3*h + 4*d = -68, -29 = -2*h + d. Suppose 0*z + 4*z - h = 0. Suppose 2/7*k**z - 2/7*k - 2/7*k**4 + 2/7*k**2 + 0 = 0. Calculate k.
-1, 0, 1
Let m(x) be the first derivative of 0*x - 1/5*x**2 - 2/3*x**3 + 3. Factor m(t).
-2*t*(5*t + 1)/5
Let y(m) be the first derivative of -14*m**3/3 - 23*m**2 - 12*m - 14. Determine w so that y(w) = 0.
-3, -2/7
Let k(c) be the second derivative of -5/3*c**3 - 2/3*c**4 - 1/10*c**5 + 0 - 2*c**2 - 3*c. Solve k(d) = 0.
-2, -1
Let g(l) = 3*l**4 - 3*l**3 - 3*l**2 - 5*l. Let j(a) = -14*a - 9*a**2 - 9*a**3 + 8*a**4 - 2 + 1 + 1. Let d(c) = -11*g(c) + 4*j(c). Solve d(w) = 0.
-1, 0
Let r = -16 - -22. Let h(i) = -i**2 - i + 1. Let q(p) = -5*p - p**5 + 11*p - 6 + 6*p**2 + 0*p**5. Let c(y) = r*h(y) + q(y). Factor c(u).
-u**5
Let t(o) be the first derivative of 7*o**6/180 - o**5/30 - o**3 + 2. Let p(g) be the third derivative of t(g). Solve p(i) = 0.
0, 2/7
Let n(j) = -j**2 + 6*j - 4. Let k(q) = -q. Let h = 6 - 7. Suppose 0*c - 2*c - 4 = 0. Let v(u) = c*k(u) + h*n(u). Let v(m) = 0. Calculate m.
2
Suppose -4/3 - p + 1/3*p**2 = 0. What is p?
-1, 4
Let v(y) be the first derivative of y**6/30 + 2*y**5/15 - y**4/6 - 4*y**3/3 + 5*y**2 + 1. Let z(s) be the second derivative of v(s). Factor z(t).
4*(t - 1)*(t + 1)*(t + 2)
Let h = 5 - 5. Solve h*a**2 + 1 + a**2 - 4*a + 3*a**2 = 0 for a.
1/2
Suppose -20 = -8*i + 3*i. Let -8/3*h**3 + i*h**2 + 2/3*h**4 + 2/3 - 8/3*h = 0. What is h?
1
Factor 32768/3*b + 1024*b**2 + 2/3*b**4 + 128/3*b**3 + 131072/3.
2*(b + 16)**4/3
Suppose -2*k = -k - 15. What is v in 6 - 9*v**3 + 2*v**4 + 3*v**2 + k*v - 11*v**4 - 6*v**3 = 0?
-1, -2/3, 1
Let c(n) be the second derivative of -n**7/147 + n**6/35 - n**5/70 - n**4/14 + 2*n**3/21 - n - 10. Solve c(a) = 0.
-1, 0, 1, 2
Let q(y) = -5*y**4 + 7*y**3 - y**2 + 5*y. Let w(f) = -11*f**4 + 15*f**3 - 2*f**2 + 11*f. Let o(m) = 13*q(m) - 6*w(m). Let o(k) = 0. Calculate k.
-1, 0, 1
Suppose -13 - 6 = -2*y - 5*m, 0 = -3*m + 9. Determine k so that 1/4*k**y + 0 + 0*k - 1/4*k**3 = 0.
0, 1
Suppose -4*d + 5 - 1 = 0. Suppose -z + d = -3. Find h, given that z*h - 2*h**2 - 4*h = 0.
0
Let w(g) be the third derivative of -1/140*g**7 + 0*g**4 + 1/40*g**6 + 0*g + 0*g**3 + g**2 + 0 - 1/40*g**5. Factor w(u).
-3*u**2*(u - 1)**2/2
Let k(f) be the third derivative of -f**6/1620 + f**5/180 - f**4/54 - f**3/3 - f**2. Let q(z) be the first derivative of k(z). Find j, given that q(j) = 0.
1, 2
Let h be 1 - (-3 - -2) - 0. Let o = h - 2. Factor 1/4*n**2 + 0 + o*n + 1/2*n**3 + 1/4*n**4.
n**2*(n + 1)**2/4
Suppose -5*k - s - 3 = 0, k + 4*s + 12 = -2*k. Suppose -5*n + 12 - 2 = k. Determine q, given that 0 + 15/2*q**3 + 21/2*q**n + 3*q = 0.
-1, -2/5, 0
Solve 0 - 1/5*w**2 + 1/5*w**4 + 0*w + 1/5*w**3 - 1/5*w**5 = 0 for w.
-1, 0, 1
Let q(i) be the first derivative of -4/3*i**3 + 7/2*i**4 - 4 - 7*i**2 + 4*i. Factor q(u).
2*(u - 1)*(u + 1)*(7*u - 2)
Let q be -4*15/(-12) + -2. Suppose 0 = q*y + 6 - 18. Factor -11/2*a**y + a - 15/2*a**2 + 12*a**3 + 0.
-a*(a - 1)**2*(11*a - 2)/2
Let p(j) be the second derivative of 0*j**3 + 2*j + 0 + 0*j**2 + 1/105*j**6 + 3/70*j**5 + 1/21*j**4. Factor p(o).
2*o**2*(o + 1)*(o + 2)/7
Let j(u) = -u + 10. Let s be j(8). Suppose 9 = s*r + r. Factor 2/7*o**r + 2/7*o**2 - 2/7 - 2/7*o.
2*(o - 1)*(o + 1)**2/7
Let a(m) be the third derivative of m**5/80 - 5*m**4/96 + m**3/12 - 3*m**2 + m. Factor a(k).
(k - 1)*(3*k - 2)/4
Let b(y) be the second derivative of -y**6/120 - y**5/16 - 3*y**4/16 - 7*y**3/24 - y**2/4 + y. Factor b(r).
-(r + 1)**3*(r + 2)/4
Let x(y) = -14*y**2 - 17*y + 17. Let s(p) = -5*p**2 - 6*p + 6. Let f(c) = -2*c**2 - 5*c - 5. Let k be f(-4). Let m(t) = k*s(t) + 6*x(t). Factor m(v).
v**2
Let h be (0 + 3/6)*4. Suppose h*b = 6*b - c - 9, 4*c = -2*b + 18. What is w in -2/7*w**5 + 0*w**2 + 0*w + 0 - 4/7*w**4 - 2/7*w**b = 0?
-1, 0
Let b = -105 - -215. Let l = b - 326/3. Find i