/4 - 2*k**2. What is f in w(f) = 0?
-1, 0, 2/5
Let k(m) be the first derivative of -2*m - 4*m**2 - 3 - 8/3*m**3. Factor k(v).
-2*(2*v + 1)**2
Let v = 288 - 286. Factor -1/3*s**5 - 4/3*s**v - 4/3*s**4 - 2*s**3 + 0 - 1/3*s.
-s*(s + 1)**4/3
Let l = 186 - 3908/21. Let w = l - -25/42. Factor -w*t**3 + 0*t + 0 - 1/4*t**2 - 1/4*t**4.
-t**2*(t + 1)**2/4
Let n(x) = x**3 + 4*x**2 + x - 3. Let h be n(-3). Suppose 3*f - 42 = -0*f. What is p in 2*p**h + 10*p + p**2 - 3*p**2 - f*p = 0?
-1, 0, 2
Solve -9/4*k**2 - 21/4*k - 11/4 + 1/4*k**3 = 0 for k.
-1, 11
Let c(z) be the third derivative of z**10/453600 - z**9/90720 + z**8/60480 - z**5/15 - z**2. Let s(k) be the third derivative of c(k). Factor s(j).
j**2*(j - 1)**2/3
Let g = 130/3 + -43. Determine u, given that -3*u**2 - 5/3*u**3 - 7/3*u - g*u**4 - 2/3 = 0.
-2, -1
Let b(m) = m**5 + m**4 - m**3 + m**2 - m + 1. Let l(g) = 14*g**5 + 46*g**4 + 2*g**3 - 74*g**2 - 10*g + 10. Let d(o) = -6*b(o) - l(o). Let d(j) = 0. Calculate j.
-2, -1, 2/5, 1
Let i(n) be the first derivative of -2/3*n**3 - n**4 + 0*n + 1/2*n**2 + 2/5*n**5 - 5 + 1/2*n**6. Solve i(m) = 0 for m.
-1, 0, 1/3, 1
Let v(b) = -b - 22*b**2 - 2*b + 12*b**2 + 12*b**2. Let q be v(2). Determine u, given that 2/5*u**q + 4/5*u - 6/5 = 0.
-3, 1
Let g = 136 + -543/4. Let z = 4 + 0. Factor 0 + 1/4*l - 1/4*l**3 + 1/4*l**z - g*l**2.
l*(l - 1)**2*(l + 1)/4
Determine s, given that -8/5*s - 4*s**2 - 4/5*s**4 + 0 - 16/5*s**3 = 0.
-2, -1, 0
Let 882/5*o + 126/5*o**2 + 6/5*o**3 + 2058/5 = 0. What is o?
-7
Factor 3*w + 3*w**5 - 62*w**3 + 26*w**3 + 30*w**3.
3*w*(w - 1)**2*(w + 1)**2
Let 0 + 2/11*x**3 + 0*x - 4/11*x**2 - 2/11*x**5 + 4/11*x**4 = 0. Calculate x.
-1, 0, 1, 2
Let l(v) = 100*v**3 + 180*v**2 + 96*v + 16. Let b(u) = -100*u**3 - 180*u**2 - 96*u - 16. Let s(k) = 4*b(k) + 5*l(k). Solve s(f) = 0.
-1, -2/5
Let w(q) be the third derivative of -q**5/690 + 5*q**4/276 - 4*q**3/69 + 19*q**2. Let w(v) = 0. Calculate v.
1, 4
Factor 2/7*c**2 + 0*c - 2/7.
2*(c - 1)*(c + 1)/7
Let t(k) be the first derivative of 4*k**3/21 - 44*k**2/7 + 484*k/7 + 20. Determine h so that t(h) = 0.
11
Let y be 2/4 - 2/(-4). Factor 1 - 5 + y + 3*u**2.
3*(u - 1)*(u + 1)
Let d = -5 + 5. Determine n so that d*n - 4 + 2*n**3 + 0*n + n - 7*n = 0.
-1, 2
Let i(r) = 4*r**4 - 22*r**3 + 12*r**2 + 8. Let m = 6 + 2. Let p(k) = k**4 - 7*k**3 + 4*k**2 + 3. Let h(y) = m*p(y) - 3*i(y). Suppose h(z) = 0. What is z?
0, 1/2, 2
Let m(q) = -q**3 + 4*q**2 + 2*q - 5. Let n be m(4). Let x(u) = 2*u**2 + 9*u - 3. Let i(a) = -a**2 - 1 - 2*a + 3 - 3*a. Let z(w) = n*x(w) + 5*i(w). Factor z(r).
(r + 1)**2
Let k(c) be the second derivative of c**6/300 - c**5/150 - c**4/60 + c**3/15 - 3*c**2/2 - c. Let i(t) be the first derivative of k(t). Factor i(g).
2*(g - 1)**2*(g + 1)/5
Let z(i) be the first derivative of i**5/50 + i**4/15 + i**3/15 - 6*i + 4. Let y(m) be the first derivative of z(m). What is r in y(r) = 0?
-1, 0
Let j(m) be the third derivative of -4*m**8/147 + 16*m**7/735 + 13*m**6/70 + 17*m**5/105 + m**4/21 - 51*m**2. Solve j(v) = 0 for v.
-1, -1/4, 0, 2
Let y(f) be the third derivative of -f**5/15 - f**4/3 - 8*f**2. Determine o, given that y(o) = 0.
-2, 0
Let j = 1 + -2. Let d = j + 5. Determine m, given that 2/5*m + 0 - 2/5*m**d - 2/5*m**3 + 2/5*m**2 = 0.
-1, 0, 1
Let b be 6/(-10) + 36/10. Determine u, given that -u**3 - b*u + 2*u**3 + 2*u = 0.
-1, 0, 1
Let z(c) be the third derivative of c**7/420 + c**6/180 - c**5/60 - c**4/8 + 2*c**2. Let s(p) be the second derivative of z(p). Factor s(g).
2*(g + 1)*(3*g - 1)
Let p = 7/24 + -31/600. Let v(b) be the first derivative of p*b**5 - 1/5*b**2 + 0*b + 2/3*b**3 + 2 - 7/10*b**4. Solve v(k) = 0.
0, 1/3, 1
Let k(i) be the first derivative of -2 + 0*i + 0*i**2 - 2/27*i**3. Factor k(p).
-2*p**2/9
Let t(x) = -x**2 - 3*x**2 + 7 + 35*x**2 + 21*x - 7*x. Let v(y) = -y**2 + y - 1. Let f(m) = t(m) + 4*v(m). Determine p so that f(p) = 0.
-1/3
Factor -13*l**4 + l**4 - 7*l**5 + 4*l**5 - 12*l**3.
-3*l**3*(l + 2)**2
Let m(f) = -f**4 + f**3 - f**2 - 1. Let a(c) = 10*c**5 - c**4 - 9*c**3 - 6*c**2 - 6. Let h(x) = -a(x) + 6*m(x). Find z, given that h(z) = 0.
-3/2, 0, 1
Factor 0*t + 0 - 12/7*t**4 + 0*t**2 + 3/7*t**3.
-3*t**3*(4*t - 1)/7
Suppose 86 + 14 = 5*m. Let j = m + -17. Factor -1/4*y**4 + 0 - 1/2*y**j + 0*y - 1/4*y**2.
-y**2*(y + 1)**2/4
Let z(f) = -10*f**2 + 60*f - 26. Let l(a) = 10*a**2 - 59*a + 25. Let t(d) = 6*l(d) + 5*z(d). Solve t(q) = 0 for q.
2/5, 5
Let b(g) = -g**2 + 4*g + 2. Let y be b(4). Let z = -4341/11 - -395. Factor -z - y*c**2 + 26/11*c.
-2*(c - 1)*(11*c - 2)/11
Let a(v) be the first derivative of -11*v**4/6 - 52*v**3/9 - 19*v**2/3 - 8*v/3 + 72. Factor a(j).
-2*(j + 1)**2*(11*j + 4)/3
Let a(x) = 0*x**2 - 3*x**2 - x**2 + 11*x - 10 + 3*x**2. Let n be a(10). Suppose 2/9*t + n - 2/3*t**2 = 0. What is t?
0, 1/3
Find g, given that 6*g - 144 + 21*g + 5*g - 4*g**2 + 16*g = 0.
6
Let t(y) be the third derivative of y**6/480 + 9*y**5/40 + 81*y**4/8 + 243*y**3 + y**2 - 4*y. Let t(j) = 0. What is j?
-18
Let o be (-9)/11 - (-4)/(-22). Let v(x) = -x**2 + 1. Let h(c) = 3*c**2 + 4*c + 2. Let m(r) = o*h(r) - 2*v(r). Let m(a) = 0. Calculate a.
-2
Let u be (12/(-8))/((-1)/16). Let l = u - 24. Factor 1/3*c + 1/3*c**4 - 1/3*c**2 - 1/3*c**3 + l.
c*(c - 1)**2*(c + 1)/3
Let m(h) be the third derivative of h**6/120 - h**4/24 - 11*h**2. Solve m(g) = 0.
-1, 0, 1
Let p be 28/15 - (-2)/15. Solve 2/7*l + 0*l**p + 0 + 2/7*l**5 - 4/7*l**3 + 0*l**4 = 0.
-1, 0, 1
Let i(w) = -5*w**3 + 2*w**2 + 7*w - 2. Let x(v) = -v**2 - v + 1. Let z(k) = i(k) + 2*x(k). Determine r, given that z(r) = 0.
-1, 0, 1
Solve 3/2*z**2 - 55/4*z**3 - 2 - 25/4*z**4 + 7*z = 0 for z.
-2, -1, 2/5
Let j(c) be the second derivative of -c**3/6 - 7*c**2/2 - 4*c. Let g be j(-9). Factor 4*f - 5*f - g*f + 3*f**2 + 0*f.
3*f*(f - 1)
Let u(x) be the second derivative of x**7/8820 + x**6/1260 + x**5/420 - 2*x**4/3 + 8*x. Let s(h) be the third derivative of u(h). Factor s(z).
2*(z + 1)**2/7
Factor -2/7*a**4 + 0*a**2 + 0 + 2*a**3 + 0*a.
-2*a**3*(a - 7)/7
Factor 11/3*p**2 + 17/6*p**4 + 14/3*p**3 + 2/3*p**5 + 4/3*p + 1/6.
(p + 1)**4*(4*p + 1)/6
Let q(v) = -v**2 - 12*v + 19. Let u be q(-13). Suppose 4*t + 4 = u*t. Factor 2/3*r**t + 0 + 2/3*r**3 + 0*r.
2*r**2*(r + 1)/3
Let n(u) be the third derivative of -1/72*u**4 - 3*u**2 + 1/180*u**5 - 1/9*u**3 + 0*u + 0. Solve n(m) = 0.
-1, 2
Factor -3 - 6*p - 6 + 19*p**2 + 6*p**3 - 3*p**4 - 7*p**2 + 0*p**2.
-3*(p - 3)*(p - 1)*(p + 1)**2
Let f(u) be the third derivative of u**7/105 - u**6/90 - u**5/90 + 6*u**2. Find v, given that f(v) = 0.
-1/3, 0, 1
Suppose 0 = 3*t + 5*h, 15 = -4*h + 3. Let g(j) be the third derivative of -1/42*j**4 + 3*j**2 + 0*j**3 + 0*j + 0 - 1/210*j**t. Suppose g(z) = 0. Calculate z.
-2, 0
Let v = -25/3 - -10. Solve 7/3*o**2 + 2/3*o + v*o**3 + 0 = 0.
-1, -2/5, 0
Suppose -2*j - 2*o + 1 = -3, -5*o = 0. Factor j + 0*w - 1 - 4 + 6*w - 3*w**2.
-3*(w - 1)**2
Let b = -26 - -45. Suppose -q - m - m = 8, 3*q + 5*m = -b. Determine r, given that r**2 - 8*r - 2*r**2 + 7 + 1 + 3*r**q = 0.
2
Let u = 7327/12195 + -2/2439. Factor 3/5*l**3 - 3/5*l**2 - u*l + 3/5.
3*(l - 1)**2*(l + 1)/5
Let p(t) = -4*t**4 + 4*t**3 - 2*t - 2. Let q(f) = -29*f**4 - 1 - f - f**3 + 28*f**4 + 2*f**3. Let h(w) = p(w) - 2*q(w). Find g, given that h(g) = 0.
0, 1
Let t be 14/(-63) - (0 + (-128)/252). What is a in 0 + t*a**2 + 2/7*a = 0?
-1, 0
Factor 5*p**3 - 3*p**3 + 2*p**2 - 4*p**3.
-2*p**2*(p - 1)
Let u = -14 + 16. Suppose 6 + 5 = u*x - 5*t, -3*t - 9 = -2*x. Find r such that -3/2*r**4 + r**x + r**2 - 3/2*r + 1/2*r**5 + 1/2 = 0.
-1, 1
Factor 0*q**3 + 3/4*q**2 + 0 - 1/4*q**4 + 1/2*q.
-q*(q - 2)*(q + 1)**2/4
Let z(j) = j**2 + 25*j + 31. Let m(c) = 3*c**2 + 87*c + 108. Let h(s) = -5*m(s) + 18*z(s). Factor h(f).
3*(f + 2)*(f + 3)
Factor -4/5 + 4/5*p**2 + 2/5*p - 2/5*p**3.
-2*(p - 2)*(p - 1)*(p + 1)/5
Let w(t) = 3*t**2 + 11*t + 5. Let c(b) = b**2 + b + 1. Let q(m) = 5*c(m) - w(m). Find i such that q(i) = 0.
0, 3
Let w(o) = o**3 - 5*o**2 + 2*o - 7. Let f be w(5). Suppose -4*c + 5*c = 0. Factor -5 + c - 6*a - f + 4 - 2*a**2.
-2*(a + 1)*(a + 2)
Suppose 0 = m - 2*m + 3. What is g in -5*g**4 - g**2 - g**2 - 1 + 5*g + 10*g**m + g**5 - 8*g**2 = 0?
1
Let r(i) = 13*i**3 + 1 + i + 2 + 2 + 9*i**2. Let v(p) = -12*p**3 - 8*p**2 - 4. Let m(l) = 4*r(l) + 5*v(l). 