y = 5*c. Factor -c*p**2 + 0*p + 4*p - 2 - p + p.
-2*(p - 1)**2
Let p = -30 + 42. Solve p*z**2 + 24 - 6*z - 6*z + 35*z + 21*z = 0 for z.
-3, -2/3
Let k be (-2)/(4 + 42/(-9)). Let n(j) be the first derivative of 8 + 0*j + j**k + 1/3*j**2. Let n(y) = 0. What is y?
-2/9, 0
Let z(b) be the third derivative of b**8/5040 - b**7/1575 - b**6/900 - 13*b**5/60 + 10*b**2. Let j(c) be the third derivative of z(c). Factor j(p).
4*(p - 1)*(5*p + 1)/5
Let n(f) = f**3 + 19*f**2 + 20*f + 38. Let t(r) = r**2 + 8*r - 6. Let q be t(-6). Let u be n(q). Factor -5/2*y**3 - 7/2*y**u - 3/2*y + 0 - 1/2*y**4.
-y*(y + 1)**2*(y + 3)/2
Let -264/5*h**3 - 512/5*h - 2/5*h**5 - 8*h**4 + 0 - 128*h**2 = 0. Calculate h.
-8, -2, 0
Let z(r) = -r**3 + r**2 + 7*r + 1. Let n be z(3). Find j, given that j + 0*j**3 + 4*j**4 + 3*j - n*j**3 - 4*j**2 = 0.
-1, 0, 1
Let s(o) = -6*o**2 - 13*o + 43. Let d(b) = -2*b**2 - 4*b + 14. Let g(m) = -7*d(m) + 2*s(m). Factor g(c).
2*(c - 2)*(c + 3)
Let u(q) = q + 15. Let z be u(-13). Suppose z*f - 4*f + 4 = 0. Factor 4/7*r**3 + 0 - 4/7*r**f - 1/7*r**4 + 0*r.
-r**2*(r - 2)**2/7
Let y(z) = 2*z**2 + 393*z + 18788. Let h(a) = 2*a**2 + 392*a + 18794. Let m(l) = 5*h(l) - 4*y(l). Factor m(g).
2*(g + 97)**2
Let r(s) be the third derivative of -5*s**2 - 1/8*s**3 + 0*s + 0 + 0*s**6 - 1/280*s**7 + 1/40*s**5 + 0*s**4. Determine m, given that r(m) = 0.
-1, 1
Let z(d) be the second derivative of d**8/3360 + d**7/560 + d**6/360 - 2*d**3/3 - 2*d. Let y(c) be the second derivative of z(c). Let y(m) = 0. What is m?
-2, -1, 0
Let q(r) be the first derivative of r**5 + 5*r**4 + 25*r**3/3 + 5*r**2 + 158. Determine j so that q(j) = 0.
-2, -1, 0
Let g(s) be the first derivative of 3/10*s**2 + 1/30*s**6 - 2/15*s**3 + 0*s**5 + 2/5*s - 1/5*s**4 + 36. Factor g(n).
(n - 2)*(n - 1)*(n + 1)**3/5
Factor -408*k**2 - 34*k + 478037 - 43*k**3 + 318*k - 478085 + 7*k**3.
-4*(k + 12)*(3*k - 1)**2
Suppose 4*v = -x + 13, -x + 18 = 4*v + x. Factor 0 - 2/3*s + 1/3*s**v.
s*(s - 2)/3
Let s be (((-12)/10)/(9/30))/(-2). Let 5*b**2 + 4*b - 12*b**2 + 8 + 3*b**s = 0. Calculate b.
-1, 2
Let s be ((-1)/(-3))/((-15)/14895). Let x = s + 2318/7. Factor x + 1/7*j**2 + 2/7*j.
(j + 1)**2/7
Find x, given that 8/5 + 28/5*x**2 + 2*x**3 - 46/5*x = 0.
-4, 1/5, 1
Let f be 2 + (-1 - -3) - (-2)/(-2). Solve -20*x**4 + 11*x**4 + 6*x**3 + 3 - 6*x**2 + 12*x**4 - 4*x**5 - f*x + x**5 = 0 for x.
-1, 1
Let u(n) = -52*n + 210. Let q be u(4). Let p(s) be the second derivative of 1/36*s**4 - 1/9*s**3 + s + 1/60*s**5 + 0*s**q + 0. Factor p(v).
v*(v - 1)*(v + 2)/3
Let v = -984136/1501 + 28554/79. Let n = -294 - v. Solve 6/19*m + 2/19*m**2 + n = 0 for m.
-2, -1
Let i(n) = -1. Suppose 20 - 26 = 3*g. Let l(j) = 4*j**4 - 4*j**2 + 2. Let r(d) = g*i(d) - l(d). Factor r(w).
-4*w**2*(w - 1)*(w + 1)
Factor 9 - 3/2*n**3 + 1/2*n**4 + 15/2*n - 7/2*n**2.
(n - 3)**2*(n + 1)*(n + 2)/2
Let j(a) be the third derivative of a**8/840 - 2*a**7/525 - 36*a**2. Determine n so that j(n) = 0.
0, 2
Let q(y) be the third derivative of 44*y**8/21 - 592*y**7/105 + 59*y**6/30 + 64*y**5/15 - y**4/6 - 4*y**3/3 - 255*y**2. Find r, given that q(r) = 0.
-1/4, 2/11, 1
Let d = -2990 - -8975/3. Factor -d*p**2 + 0*p - 1/3*p**3 + 0 + 5/3*p**4 + 1/3*p**5.
p**2*(p - 1)*(p + 1)*(p + 5)/3
Let r = 203 - 1823/9. Let k(c) be the second derivative of -3/2*c**2 + 0 + 3*c - r*c**4 + 4/3*c**3. Factor k(a).
-(4*a - 3)**2/3
Suppose 1092 = 5*m + 6*n - 2*n, -3 = -n. Let t = -646/3 + m. Determine a, given that -10/9*a**3 + 0 + 4/9*a + t*a**2 = 0.
-2/5, 0, 1
Let p(b) = 7 + b + 0 + 0 - 3. Let r be p(-2). Factor -4 + 3*n**r - 2*n**3 - n**2 + 4.
-2*n**2*(n - 1)
Let x(g) = g**2 - 4*g - 3. Let w be x(5). Factor 12*b**3 - 7*b**4 + 4*b**4 + 8*b**w + 7*b**4.
4*b**2*(b + 1)*(b + 2)
Let m(j) = -j**4 + j**3 - j**2 - j. Let x(s) = 9*s**4 + 26*s**3 + 49*s**2 + 4*s. Let p = -59 + 63. Let q(w) = p*m(w) + x(w). Factor q(g).
5*g**2*(g + 3)**2
Let j(z) = -3*z - 11. Let c be j(-4). Suppose 4*w - 12 = 3*b - 1, c = -b. Factor 2*f**2 - 4*f**4 - 50*f**3 + 54*f**3 + 2*f**w - 4*f.
-4*f*(f - 1)**2*(f + 1)
Let n(b) = b**2 + 45*b - 612. Let o be n(-56). Determine m so that 0 - 3/4*m + m**2 + 7/2*m**3 - 3/4*m**5 + m**o = 0.
-1, 0, 1/3, 3
Let w = -13574/3 - -4538. Factor -5/3*a**2 - 35/3 - w*a.
-5*(a + 1)*(a + 7)/3
Let k(r) = -7*r**3 - 48*r - r**3 + 44 - 16 + 24*r**2. Let q(i) = i**3 + 1. Let x(a) = -k(a) - 4*q(a). Factor x(s).
4*(s - 2)**3
Suppose 0 = 2*h + 5*f + 16, -3*f - 7 = 4*h - 3. Solve 0*r**3 - 17*r**2 + 6*r - 4 - h*r**3 + 17*r**2 = 0.
-2, 1
Let l(r) be the second derivative of r**7/1050 - r**6/60 + r**5/12 - 13*r**2/2 + 25*r. Let m(o) be the first derivative of l(o). Find i, given that m(i) = 0.
0, 5
Let a(j) be the second derivative of -j**7/630 + j**6/90 - j**5/30 + j**4/6 + 7*j. Let f(s) be the third derivative of a(s). Factor f(q).
-4*(q - 1)**2
Let v be 13 - (-6 + 12/4). Let g = v - 16. Find a such that -3*a - 3*a**3 + g*a + 9*a**2 - 9*a**4 + 0*a + 6*a**5 = 0.
-1, 0, 1/2, 1
Determine u so that 15/8*u**4 + 2 + 13*u**3 - 129/8*u**2 - 3/4*u = 0.
-8, -1/3, 2/5, 1
Suppose 2*v = 5*y + v - 52, 3*y + 3*v - 42 = 0. Factor y*w - 5*w**3 - 6*w + 15*w - 5*w - 10.
-5*(w - 1)**2*(w + 2)
Factor 0 + 7*o + 15/2*o**2 + 1/2*o**3.
o*(o + 1)*(o + 14)/2
Suppose -29*j = -3*j + 36*j. Let v(i) be the second derivative of 0*i**4 - 1/3*i**3 + j*i**2 - 5*i - 1/21*i**7 + 0 + 0*i**6 + 1/5*i**5. Factor v(f).
-2*f*(f - 1)**2*(f + 1)**2
Factor 56/11 + 2/11*i**3 + 64/11*i + 2*i**2.
2*(i + 2)**2*(i + 7)/11
Suppose c + 26 = 2*c - 4*l, -5*c + 240 = 2*l. Let b = 48 - c. Suppose 0*j + 8/7 - 6/7*j**b - 2/7*j**3 = 0. What is j?
-2, 1
Let a = -50 - -53. Suppose -9*i - a*i**3 - 10*i**2 + 4*i**2 - 6*i**2 = 0. Calculate i.
-3, -1, 0
Solve 26/9*x - 16/9*x**4 + 20/9 + 2/3*x**5 - 4*x**2 - 64/9*x**3 = 0.
-1, 2/3, 5
Let l = 1126/1671 + -4/557. Suppose -2*i - 2/3 + 4/3*i**2 + 4*i**3 - l*i**4 - 2*i**5 = 0. Calculate i.
-1, -1/3, 1
Let w = 7589 + -7587. Factor -32/3 + 8*j + 5/2*j**w + 1/6*j**3.
(j - 1)*(j + 8)**2/6
Let b be ((-8226)/9140)/(6/(-40)). Suppose 6*h - 3/2*h**2 - b = 0. Calculate h.
2
Let a(r) be the first derivative of -r**5/10 + r**4/8 + r**3/2 - 5*r**2/4 + r - 57. Factor a(t).
-(t - 1)**3*(t + 2)/2
Factor 58/5*g + 6/5*g**3 - 188/5*g**2 + 124/5.
2*(g - 31)*(g - 1)*(3*g + 2)/5
Determine x so that 2/9*x**2 - 38/3*x + 112/9 = 0.
1, 56
Factor 10*c**3 - 2281*c**5 + 59*c + 32 + 52*c**2 + 2280*c**5 + 13*c - 3*c**4.
-(c - 4)*(c + 1)*(c + 2)**3
Let n = 2/2291 - -2285/6873. Solve -2*z - 3 - n*z**2 = 0 for z.
-3
Let t = 678/835 - 2/167. Let a(k) = -k + 3. Let d be a(1). Let -2/5*w**d - 2/5 + t*w = 0. What is w?
1
What is q in -256/13*q + 56/13*q**3 + 1024/13 - 368/13*q**2 + 28/13*q**4 + 2/13*q**5 = 0?
-8, -2, 2
Solve 7*o**2 - o**5 + 28*o**4 - 37 + o**3 - 14*o**4 + 33 - 17*o**4 = 0.
-2, -1, 1
Let x(a) = -3*a**5 + 12*a**4 - 23*a**3 + 12*a**2 + 2*a - 5. Let i(o) = 6*o**5 - 24*o**4 + 45*o**3 - 24*o**2 - 3*o + 9. Let m(t) = -5*i(t) - 9*x(t). Factor m(v).
-3*v*(v - 1)**4
Let z be (-112)/(-180) + (40/(-36))/5. Factor 2/5*h**2 - 4/5 + z*h.
2*(h - 1)*(h + 2)/5
Let o be ((-8)/(-6) + 1)*((-44)/(-7) + -6). Let o*u**2 + 2/9*u - 2/9*u**4 - 2/9*u**3 - 4/9 = 0. What is u?
-2, -1, 1
Find c such that -6/7*c**3 + 2/7*c**4 - 48/7 - 12/7*c**2 + 8*c = 0.
-3, 2
Let d(o) be the second derivative of 5/42*o**7 + 0*o**3 - 5/6*o**4 - 1/4*o**5 + 0*o**2 + 0 + 1/3*o**6 - 2*o. Factor d(a).
5*a**2*(a - 1)*(a + 1)*(a + 2)
Let t = 170 - 174. Let w be 4 - (t + 2)*-2. Solve w*q**3 + 4/5*q + 6/5*q**2 + 0 - 2/5*q**4 = 0 for q.
-1, 0, 2
Let j(r) be the third derivative of -r**7/735 + r**6/10 - 4*r**5/21 - r**4/2 + 41*r**3/21 - 48*r**2. Solve j(n) = 0 for n.
-1, 1, 41
Let y(s) = s**3 + s**2 + s. Let v be 6/(-4)*(-12)/18. Let x = 2 - v. Let k(n) = 3*n**4 + 3*n**3 + 6*n**2 + 6*n. Let u(r) = x*k(r) - 6*y(r). Factor u(g).
3*g**3*(g - 1)
Let l(o) = o**2 + 185*o + 5. Let d(k) = -92*k - 2. Let w(c) = -5*d(c) - 2*l(c). What is m in w(m) = 0?
0, 45
Let g(a) = -a**2. Let r be 2/7 + 144/(-14). Let n(q) = 36*q**3 - 2*q**2 - 32*q + 16. Let f(p) = r*g(p) - n(p). Determine z, given that f(z) = 0.
-1, 2/3
Let r(n) be the second derivative of -1/12*n**4 - 1/7*n**3 + 0 + n**2 - 1/420*n**6 + 11*n - 1/42*n**5. Let s(w) be the first derivative of r(w). Factor s(t).
-2*(t + 1)**2*(t + 3)/7
Let 30/11*s - 6/11*s*