k + 10*k**4 - 2*k**3 - 5*k**2 = 0.
-1, 0, 1/4, 1
Let h(b) = -b**3 + 4*b**2. Let k be h(4). Let p(z) be the first derivative of 1/4*z**2 + k*z - 1/10*z**5 - 1/8*z**4 - 2 + 1/6*z**3. Suppose p(r) = 0. What is r?
-1, 0, 1
Let o = -26 - -26. Let v(d) be the first derivative of -8/39*d**3 - 1/13*d**2 + o*d - 2. Factor v(j).
-2*j*(4*j + 1)/13
Let l(u) be the first derivative of 4 + 0*u + 0*u**2 - 2*u**3 - 1/2*u**6 + 9/4*u**4 + 0*u**5. Determine h, given that l(h) = 0.
-2, 0, 1
Let u = 2 + 0. Factor -18 - 5*z - 4*z**2 + u*z**2 - 3*z - 4*z.
-2*(z + 3)**2
Let u = -204 - -614/3. Let f = 9 + -5. Determine n so that 0 + 2/3*n**2 - u*n - 2/3*n**f + 2/3*n**3 = 0.
-1, 0, 1
Let h = 7 - 5. Factor 2*u**2 - 3 - h*u - u**2 + 4.
(u - 1)**2
Suppose -r - 2*r = a - 6, -5*a - 4 = -2*r. Find n, given that n**2 - 2 + 3*n**2 + 4 + 4*n - r*n**2 = 0.
-1
Let r(x) be the second derivative of -x**6/120 + x**4/48 + x. Factor r(a).
-a**2*(a - 1)*(a + 1)/4
Let o be 4/8 - 9/(-2). Suppose 0*z = -3*z - c + o, -5*z + 13 = -3*c. What is u in -3/4*u**5 - 3/4*u + 0*u**4 + 0 + 0*u**z + 3/2*u**3 = 0?
-1, 0, 1
Let n = -6 - -6. Let r(q) be the first derivative of -1/4*q**4 + 0*q**2 + 0*q**3 + 1 + n*q + 1/6*q**6 + 0*q**5. Solve r(c) = 0 for c.
-1, 0, 1
Suppose -12/7*s - 2/7*s**2 + 0 = 0. What is s?
-6, 0
Suppose -2*t + 2 = 4*d, d + 7*t - 2*t = -13. Factor 0 - 5/2*s**4 + 4*s**2 - 7/2*s**3 + d*s.
-s*(s - 1)*(s + 2)*(5*s + 2)/2
Suppose 10 = 5*i + 10. Let t(d) be the third derivative of -2*d**2 + 1/150*d**5 + i*d**4 + 0*d - 1/840*d**8 + 0 + 1/175*d**7 + 0*d**3 - 1/100*d**6. Factor t(s).
-2*s**2*(s - 1)**3/5
Let l(p) = -p**2 - p. Let y(g) = -34*g**2 + 21*g + 5. Let v(r) = 4*l(r) - y(r). What is z in v(z) = 0?
-1/6, 1
Suppose 0 = 3*s - 2*s - 3. Suppose -4*d = s*h - 11, h = -3*d + 3 - 1. Factor -3*i**4 + i**4 - i**h + 3*i**5.
2*i**4*(i - 1)
Let s(u) be the third derivative of -7*u**6/24 - 11*u**5/4 + 25*u**4/12 - 26*u**2. Factor s(o).
-5*o*(o + 5)*(7*o - 2)
Let i = 1631617/840 + -9712/5. Let p(b) be the third derivative of 1/240*b**5 + 0 - b**2 + 0*b**3 + 0*b**4 + 0*b + i*b**7 - 1/240*b**6. Solve p(c) = 0.
0, 1
Let j(c) be the third derivative of c**7/210 - c**5/60 + 7*c**2. Factor j(u).
u**2*(u - 1)*(u + 1)
Suppose -4*p - 2 = -3*p. Let q = 1 - p. Factor 0*f**2 + 0*f**q + f**2 - 3*f**3 + 4*f**3.
f**2*(f + 1)
Factor -5/3*p**2 - 5/3*p + 5/3*p**3 + 5/3.
5*(p - 1)**2*(p + 1)/3
Let j(v) be the second derivative of 0 + 1/3*v**2 - 2*v + 1/9*v**4 - 1/60*v**5 - 5/18*v**3. Solve j(m) = 0.
1, 2
Let j = -14 + 72/5. Determine y so that -j*y**3 + 4/5 - 4/5*y**2 + 2/5*y = 0.
-2, -1, 1
Let v(r) be the second derivative of 25*r**7/42 - 4*r**6/3 + r**5/4 + 5*r**4/6 - 10*r. Find o, given that v(o) = 0.
-2/5, 0, 1
Let p(w) be the second derivative of 5*w**7/42 + w**6 + 7*w**5/2 + 20*w**4/3 + 15*w**3/2 + 5*w**2 - 26*w. Factor p(l).
5*(l + 1)**4*(l + 2)
Suppose i - 28 + 23 = 0. Let x(j) be the second derivative of 2*j + 1/5*j**2 + 0 - 4/15*j**3 + 1/5*j**4 - 2/25*j**i + 1/75*j**6. Find h such that x(h) = 0.
1
Let c(m) be the second derivative of -m**2 - 3*m + 2/15*m**6 + 0 - 3/10*m**5 - 1/6*m**4 + m**3. Solve c(l) = 0.
-1, 1/2, 1
Suppose -5*l + l - 3*n = -10, 5*l - 22 = n. Factor 0 + 2/3*y**5 + 0*y - 2/3*y**3 + 0*y**2 + 0*y**l.
2*y**3*(y - 1)*(y + 1)/3
Solve 5/2*j**3 + 0 + 0*j + j**2 + 1/2*j**5 + 2*j**4 = 0.
-2, -1, 0
Let m(c) = 28*c - 94. Let y(w) = w**2 + 2. Let q(k) = m(k) - 2*y(k). Factor q(z).
-2*(z - 7)**2
Let h(o) = -4*o**2 + 6*o. Let d(r) = -r**2 + r. Let b(a) = a - 6. Let l = 6 - 6. Let u be b(l). Let v(g) = u*d(g) + h(g). What is m in v(m) = 0?
0
Let p = 0 - 1. Let o be 0 + (p - -2) + 0. Let z(i) = -i**2 - i - 1. Let m(x) = -2*x**2 - 3*x - 3. Let j(f) = o*m(f) - 3*z(f). Determine q so that j(q) = 0.
0
Let i(f) = -6*f**2 + 6*f + 3. Let j(z) = 11*z**2 - 12*z - 5. Let l(x) = -5*i(x) - 3*j(x). Find p such that l(p) = 0.
0, 2
Suppose 3*a = -2*l - 14, 0*l + 4*l = 2*a - 12. Let j be a/(-3) + (-4)/12. Factor j*n**5 + 0 - 1/3*n**4 - n**3 + 5/3*n**2 - 2/3*n.
n*(n - 1)**3*(n + 2)/3
Let 2*o**5 - 5*o**5 + 5*o**3 + 0*o + o**3 - 3*o = 0. Calculate o.
-1, 0, 1
Let n be ((-4)/(-8))/(1/6). Let w = 8/221 + 2/17. Factor 2/13*j + w - 2/13*j**2 - 2/13*j**n.
-2*(j - 1)*(j + 1)**2/13
Let s = 194 + -580/3. Suppose 4/3*n - 2/3*n**4 - 4/3*n**3 + s + 0*n**2 = 0. What is n?
-1, 1
Let y(s) be the third derivative of s**7/70 + s**6/10 + 3*s**5/20 - s**4/2 - 2*s**3 - 14*s**2. Factor y(r).
3*(r - 1)*(r + 1)*(r + 2)**2
Let a(m) = -11*m**3 - 3*m**2 + 17*m. Let w(g) = -3*g**3 - g**2 + 4*g. Let b(n) = 2*a(n) - 9*w(n). Factor b(q).
q*(q + 1)*(5*q - 2)
Let d(i) = -i**2 + i. Let n(h) = -8*h**2 + 3*h - 4. Let y(t) = 14*d(t) - 2*n(t). Factor y(a).
2*(a + 2)**2
Factor 4/7*b**3 - 8/7*b**2 + 0*b + 0.
4*b**2*(b - 2)/7
Let i = 1/266 - -663/532. Let -i*l - 1/2 - 1/4*l**3 - l**2 = 0. What is l?
-2, -1
Let c = 5/11 - -1/22. Let s be 1/3 - (-2)/12. Factor -c + s*j**2 + 0*j.
(j - 1)*(j + 1)/2
Let u(h) be the first derivative of -3*h**5/5 + 9*h**4/4 - h**3 - 9*h**2/2 + 6*h - 3. What is q in u(q) = 0?
-1, 1, 2
Find m such that 3/2*m**2 - 3/2*m**3 + 0*m + 0 = 0.
0, 1
Let w(p) be the first derivative of -3*p**5/25 - p**4/4 + 7*p**3/10 + 3*p**2/5 - 2*p - 6. Let z(d) be the first derivative of w(d). Factor z(b).
-3*(b - 1)*(b + 2)*(4*b + 1)/5
Let i(u) = 8*u**3 + 72*u**2 + 870*u + 3450. Let d(a) = -7*a**3 - 72*a**2 - 869*a - 3451. Let z(g) = 6*d(g) + 5*i(g). Let z(b) = 0. Calculate b.
-12
Let w(h) be the third derivative of -5*h**8/336 - h**7/42 + 4*h**2. What is z in w(z) = 0?
-1, 0
Let l = 23 + -17. Factor -1 - 3*g**2 + g - g**3 - l*g + 2*g.
-(g + 1)**3
Factor 0*k + 1/3*k**3 + 0 + 2/3*k**2 - 1/3*k**4.
-k**2*(k - 2)*(k + 1)/3
Suppose 0 = i, 4*b - 25 = -5*i - 9. Suppose 0 + 4/7*n**b - 2/7*n**3 - 2/7*n**2 + 0*n = 0. What is n?
-1/2, 0, 1
Let c be 5/2*12/10. Let a = 27/10 + -23/10. Factor 0 + a*f - 1/5*f**c - 1/5*f**2.
-f*(f - 1)*(f + 2)/5
Let f(r) be the second derivative of r**5/60 + r**4/12 - 3*r**2/2 - 4*r. Let t(k) be the first derivative of f(k). Factor t(u).
u*(u + 2)
Let h(s) be the first derivative of 2*s**3/3 - 4*s**2 + 8*s + 2. Factor h(t).
2*(t - 2)**2
Let a(d) be the second derivative of d**7/273 + 2*d**6/195 - d**4/39 - d**3/39 + 29*d. Let a(f) = 0. Calculate f.
-1, 0, 1
Let g = 6 - 6. Solve -s**4 + 0*s**3 - 4*s**3 - s**2 - 3*s**2 + g*s**4 = 0 for s.
-2, 0
Let l(r) be the second derivative of -r**8/2520 + r**7/1260 + r**3/3 - 3*r. Let h(y) be the second derivative of l(y). What is u in h(u) = 0?
0, 1
Let s(q) be the first derivative of 1/6*q**2 + 1 + 2/3*q - 1/9*q**3. Suppose s(u) = 0. Calculate u.
-1, 2
Let k be -4*((-36)/16)/3. Let m = -1 + k. Factor -1/2 + 0*j + 1/2*j**m.
(j - 1)*(j + 1)/2
Let z(t) = -4*t**3 + 2*t**2 - 5*t. Let u(a) = -a**3 + a**2 - 2*a. Let c(g) = 11*u(g) - 4*z(g). What is d in c(d) = 0?
-1, 0, 2/5
Let c(j) be the first derivative of 2*j**6/3 - 4*j**5/5 - 54. Determine u so that c(u) = 0.
0, 1
Suppose g = 5*r - 2*g + 28, 0 = -r + 5*g + 12. Let y = -6 - r. Solve -4*h**3 - y*h**3 - 2*h**2 - h**3 = 0 for h.
-2/7, 0
Let l(d) = 6*d**3 + 19*d**2 - 25*d - 13. Let g(c) = -c**3 - 3*c**2 + 4*c + 2. Let u(b) = -39*g(b) - 6*l(b). Factor u(q).
3*q*(q - 1)*(q + 2)
Suppose 4*u - 11 = -3. Let y(w) be the first derivative of -3/4*w**4 + 0*w + 0*w**3 - 4 + 0*w**u. Factor y(q).
-3*q**3
Let q = -29 - -29. Suppose 2/5*x**4 + 0*x**2 + q*x - 4/5*x**3 + 0 = 0. Calculate x.
0, 2
Let w(g) be the third derivative of g**7/630 + g**6/30 + 3*g**5/10 + 3*g**4/2 + 9*g**3/2 + 18*g**2. Solve w(f) = 0 for f.
-3
Let i(q) be the first derivative of -4/5*q**2 + 2/5*q + 2/25*q**5 - 3 + 4/5*q**3 - 2/5*q**4. Suppose i(d) = 0. Calculate d.
1
Let i(n) be the third derivative of n**5/240 + n**4/96 - 5*n**2. Find w such that i(w) = 0.
-1, 0
Let t(x) = -1. Let d(g) = g**3 + 2*g**2 - 5. Let a(r) = -d(r) + 5*t(r). Find h, given that a(h) = 0.
-2, 0
Let p be ((-3)/(-18)*1)/((-3)/(-12)). Factor 0*o**3 + p*o**2 - 2/3*o**4 + 0 + 0*o.
-2*o**2*(o - 1)*(o + 1)/3
Let l(m) = -31*m**4 + 157*m**3 + 244*m**2 + 53*m. Let j(y) = 61*y**4 - 315*y**3 - 488*y**2 - 107*y. Let i(o) = -3*j(o) - 5*l(o). Solve i(q) = 0 for q.
-1, -2/7, 0, 7
Factor -20/3*u + 8*u**2 - 4*u**3 + 2/3*u**4 + 2.
2*(u - 3)*(u - 1)**3/3
Let a = 189 - 2645/14. Let b(d) be the first derivative of -2 + 0*d - a*d**4 + 0*d**3 + 0*