tor x(k).
-2*k**2*(k - 1)**3/9
Factor -80/3 + 106*u + 8/3*u**2.
2*(u + 40)*(4*u - 1)/3
Let g(r) = 6*r**2 - 6*r**2 + 9*r + 9 + r**2 - 2*r. Let b be g(-6). Determine j so that -3 + 2*j - 5*j + j**2 + 2 + b = 0.
1, 2
Let b(c) be the second derivative of c**5/130 - 2*c**4/39 + 4*c**3/39 - 4*c + 135. Determine t, given that b(t) = 0.
0, 2
Suppose 0 = -5*s + 10 + 15, -3*t + s + 1 = 0. Solve 0*l - 8/23 + 2/23*l**t = 0 for l.
-2, 2
Let v(b) = -b**4 + b**2. Let r(a) = -20*a**4 - 16*a**3 - 8*a**2 - 16*a - 4. Let s(q) = -3*q + 7. Let x be s(2). Let c(h) = x*r(h) - 16*v(h). Factor c(l).
-4*(l + 1)**4
Let j(g) be the third derivative of 0*g**5 - 5/72*g**4 + 0*g**3 + 0 + 0*g + 1/72*g**6 - 20*g**2. Factor j(x).
5*x*(x - 1)*(x + 1)/3
Let k(q) = q**4 - q**3 - q**2. Let b(n) = -7*n**4 - 13*n**3 + 47*n**2 - 25*n. Let d(z) = b(z) + 2*k(z). Factor d(m).
-5*m*(m - 1)**2*(m + 5)
Suppose 5*i + 3*x = 25, -2*i - 78*x + 73*x + 29 = 0. Factor -1/6*d**i + 0 + 1/6*d**3 - 1/3*d.
d*(d - 2)*(d + 1)/6
Let m(z) = -3*z**5 + 29*z**4 - 21*z**3 + 5*z + 5. Let x(y) = 6*y**5 - 57*y**4 + 42*y**3 - 9*y - 9. Let d(l) = -9*m(l) - 5*x(l). Factor d(t).
-3*t**3*(t - 7)*(t - 1)
Suppose -3*o = -6*o + 60. Let q be (-44)/55 - (-26)/o. Let -j**3 + 0*j + 1/2*j**2 - q*j**4 + 0 + j**5 = 0. What is j?
-1, 0, 1/2, 1
Factor 321*o**3 + 22*o + 40*o**2 - 315*o**3 - 4 - 8.
2*(o + 1)*(o + 6)*(3*o - 1)
Let j(k) = -48*k**3 + 252*k**2 - 807*k + 855. Let u(y) = 7*y**3 - 36*y**2 + 115*y - 122. Let c(g) = 4*j(g) + 27*u(g). Find f such that c(f) = 0.
2, 3, 7
Let n(a) be the first derivative of 32*a**5/5 + 20*a**4 - 74*a**3 - 62*a**2 - 16*a + 122. Factor n(z).
2*(z - 2)*(z + 4)*(4*z + 1)**2
Let x(g) be the third derivative of g**6/420 + g**5/30 + 5*g**4/28 + 3*g**3/7 + 64*g**2. Factor x(y).
2*(y + 1)*(y + 3)**2/7
Let k(m) be the first derivative of -m**6/30 - m**5/5 - m**4/3 + 7*m**2 + 9. Let p(f) be the second derivative of k(f). Factor p(l).
-4*l*(l + 1)*(l + 2)
Let b be -5 - (-648)/(-128)*-1. Let s(f) be the first derivative of 3 + 1/6*f**3 - b*f**4 + 0*f**2 + 0*f. Determine z, given that s(z) = 0.
0, 2
Let n = -7 - -3. Let f(s) = -s**3 - 4*s**2 - 3*s - 6. Let m be f(n). Find z, given that 8*z**4 + 0*z**3 - 10*z**4 + 16 + 4*z**2 + m*z**3 - 24*z = 0.
-2, 1, 2
Suppose -5*c + 125 = -50. Suppose -h + c = 6*h. Factor 4*x**h + 2*x - 16*x**4 + 20*x**3 - 7*x**2 - 4*x**2 + x**3.
x*(x - 2)*(x - 1)*(2*x - 1)**2
Let b(a) be the third derivative of a**5/540 + a**4/18 - 14*a**3/27 - a**2 + 29*a. Factor b(t).
(t - 2)*(t + 14)/9
Let n(q) be the third derivative of q**8/1680 + 2*q**7/525 + q**6/150 - q**5/150 - q**4/24 - q**3/15 - 200*q**2. Factor n(d).
(d - 1)*(d + 1)**3*(d + 2)/5
Let d = 343 - 341. Let m(t) be the second derivative of 0 + 1/35*t**5 + 0*t**d - t - 5/42*t**4 + 2/21*t**3. Find b such that m(b) = 0.
0, 1/2, 2
Let u(q) be the third derivative of -18*q**2 + 1/32*q**4 + 3/160*q**6 + 0 - 3/80*q**5 - 1/280*q**7 + 0*q + 0*q**3. Find g, given that u(g) = 0.
0, 1
Let c be (-231)/(-49) - (-2)/7. Suppose 4*a - 5*o = 3*a - 25, c*o = 2*a + 25. Factor 12/7*u**2 + a + 4/7*u**3 + 8/7*u.
4*u*(u + 1)*(u + 2)/7
Factor -6/7 + 4/7*f + 2/7*f**2.
2*(f - 1)*(f + 3)/7
Let p(c) be the third derivative of 0 + 0*c + 6*c**2 - 1/180*c**5 + 1/6*c**3 + 1/36*c**4. Find j, given that p(j) = 0.
-1, 3
Let i(b) = -b**2 - 10*b - 6. Let v be i(-9). Solve -5*p**2 + 8*p - 3*p**3 + 19 - 15 + 4*p**v - 8 = 0.
1, 2
Let z be (-4 + 5622/1404)*(-258)/(-4). Let h = z + -1/39. Factor a + h*a**2 + 1.
(a + 2)**2/4
Let z(q) be the third derivative of -q**6/360 - q**5/180 + q**4/72 + q**3/18 + 19*q**2. Factor z(l).
-(l - 1)*(l + 1)**2/3
Let b = 410/3 + -130. Let w(m) be the first derivative of 280/3*m**5 + 16/3*m + 5 - 92/3*m**3 + 185/6*m**4 - b*m**2. Solve w(q) = 0 for q.
-2/5, 1/4, 2/7
Solve 327*s**2 - 1067*s - 347*s**2 + 312*s**3 - 2293*s - 830*s**2 - 10*s**4 - 97*s**3 - 1440 = 0.
-2, -1/2, 12
Let s = -7 - -13. Find o, given that -s*o - 6*o**4 + 2*o**4 - o**2 + 6*o - 5*o**3 = 0.
-1, -1/4, 0
Solve 10/3*z**4 + 0*z**2 + 0 - 25/3*z**3 + 0*z - 1/3*z**5 = 0 for z.
0, 5
Let v = -64901/13 - -4993. Let 10/13*f + 2/13*f**2 + v = 0. What is f?
-4, -1
Suppose -4*k + 2*k + 54 = 0. Let i = 45 - k. Determine t, given that 15*t + 6*t**2 - 15*t**3 - i*t**4 + 3 + 4*t**2 + 6*t**4 - t**2 = 0.
-1, -1/4, 1
Suppose 5*x + 15 = j - 0*x, -4*x - 45 = -3*j. Suppose -j = 3*t - 21. Solve -3/4*l**t - 3/2*l - 3/4 = 0.
-1
Factor 23716 + 616*z + 22*z**2 - 4*z**2 - 10*z**2 - 6*z**2 + 2*z**2.
4*(z + 77)**2
Factor 363/5 + 69/5*r**2 - 3/5*r**3 - 429/5*r.
-3*(r - 11)**2*(r - 1)/5
What is i in -8/11*i**2 + 2/11*i + 8/11 - 2/11*i**3 = 0?
-4, -1, 1
Let t(b) = b - 8. Let l be t(0). Let i = l + 12. Suppose 10*c**2 - 2*c**4 + 2*c**4 + c**4 - i*c**3 - 6*c**2 = 0. What is c?
0, 2
Let r = -24 - -41. Let x(q) = 6 - 16 + 36 - 19*q + 44*q**2. Let m(h) = 15*h**2 - 6*h + 9. Let f(l) = r*m(l) - 6*x(l). Let f(g) = 0. What is g?
1/3, 1
Let f(g) be the first derivative of 6/5*g**5 + 0*g**4 + 1/2*g**6 + 0*g - 3/2*g**2 - 26 - 2*g**3. Suppose f(b) = 0. Calculate b.
-1, 0, 1
Let o(s) be the first derivative of 0*s + 7 - 1/4*s**3 + 3/8*s**2. Determine p, given that o(p) = 0.
0, 1
Let i = 18 - 16. Let f(w) = w**3 - 2*w + 2. Let n be f(i). Factor 10*q**2 - 4 + 14*q**2 + n*q + 16*q**3 - 2*q**3.
2*(q + 1)**2*(7*q - 2)
Factor -237*i + 88 + 272*i**2 - 75*i + 28*i**3 - 76*i.
4*(i - 1)*(i + 11)*(7*i - 2)
Let d = -391151/14577 + 1/9718. Let a = 27 + d. Let 1/3*h**3 - 1/3 - 1/3*h**4 - 1/6*h - a*h**5 + 2/3*h**2 = 0. Calculate h.
-2, -1, 1
Factor 1/2*w**2 + 51/2*w + 25.
(w + 1)*(w + 50)/2
Let k = -1499/9 - -167. Factor -k + 2/9*y**2 + 2/9*y.
2*(y - 1)*(y + 2)/9
Suppose 10*v = -4*v - 8*v. Let t(q) be the third derivative of 0*q**6 + 1/20*q**5 + 0*q - 1/70*q**7 - 5*q**2 + 0*q**4 + 0 + v*q**3. Solve t(z) = 0.
-1, 0, 1
Let d be -11 - 4*4/16. Let r = d + 14. Let 75*w**4 + 17*w + 87*w**3 - 77*w - 12 - 27*w**3 - 63*w**r = 0. What is w?
-1, -2/5, 1
Let u(s) be the first derivative of -s**8/2940 + s**7/1470 - 4*s**3 - 9. Let p(x) be the third derivative of u(x). Find w such that p(w) = 0.
0, 1
Factor 90/7*s**2 + 3/7*s**3 + 900/7*s + 3000/7.
3*(s + 10)**3/7
Let x = -1336679/360 + 3713. Let r(g) be the third derivative of 1/90*g**5 + 0*g + 0*g**3 - x*g**6 + 0*g**4 + 0 + 2*g**2 - 1/210*g**7. Solve r(q) = 0 for q.
-1, 0, 2/3
Let n be (-3)/((-18)/22) - (-1)/3. Suppose -7 - 9 = -n*p. Suppose 4/7*d**p - 6/7*d**3 + 4/7*d**2 - 1/7*d - 1/7*d**5 + 0 = 0. Calculate d.
0, 1
Let c be (11/((-44)/8))/(0 + 8/(-12)). Factor -c + 9/4*l + 3/4*l**2.
3*(l - 1)*(l + 4)/4
Let u(s) = -84*s + 2354. Let r be u(28). Factor 14/9*c**3 - 14/9*c + 4/9 - 4/9*c**r.
2*(c - 1)*(c + 1)*(7*c - 2)/9
Let r = -14 + 5. Let d = r - -14. Solve -6*w**d - 2*w**4 + 10*w**4 + 10*w**5 - 12*w**3 = 0 for w.
-3, 0, 1
Let a(q) be the first derivative of -q**6/280 - q**5/70 + 3*q**4/56 - 10*q**2 + 4. Let d(w) be the second derivative of a(w). Solve d(o) = 0.
-3, 0, 1
Let p(d) be the second derivative of -4*d - 2/21*d**3 + 1/21*d**4 + 1/35*d**5 + 0 + 0*d**2 - 2/105*d**6. Solve p(a) = 0 for a.
-1, 0, 1
Let w(v) be the first derivative of -3*v**4/8 - 4*v**3 - 39*v**2/4 - 9*v - 60. Find d such that w(d) = 0.
-6, -1
Let u(x) be the first derivative of 14/65*x**5 + 0*x - 8/39*x**3 + 2/39*x**6 + 29 + 2/13*x**4 + 0*x**2. Let u(n) = 0. Calculate n.
-2, 0, 1/2
Let p(q) be the second derivative of -q**5/20 - 35*q**4/12 + 6*q**3 + 6*q - 3. Factor p(d).
-d*(d - 1)*(d + 36)
Let t(o) = -99*o + 5646. Let s be t(57). What is z in 2/3*z**2 + 8/15 + 2/15*z**s + 16/15*z = 0?
-2, -1
Let g = -2582 + 10337/4. Factor -5/4*s**4 - g*s**2 - 3*s**3 - 1/2*s + 0.
-s*(s + 1)**2*(5*s + 2)/4
Factor -5*j**2 + 5/6*j**3 + 5 - 5/6*j.
5*(j - 6)*(j - 1)*(j + 1)/6
Let i(z) be the second derivative of 10*z**7/63 + z**6/9 + z**5/45 + 11*z**2 - 21*z. Let g(p) be the first derivative of i(p). Factor g(t).
4*t**2*(5*t + 1)**2/3
Let x(f) be the third derivative of f**8/50400 - f**6/1800 - 2*f**5/5 + 15*f**2. Let s(d) be the third derivative of x(d). Factor s(l).
2*(l - 1)*(l + 1)/5
Let m(g) = 7*g**2 + 894*g + 39607. Let r(s) = 155*s**2 + 19670*s + 871355. Let i(c) = 45*m(c) - 2*r(c). Factor i(u).
5*(u + 89)**2
Let a = 2789/6 - 464. Find b, given that -1/3*b**4 - 1/2*b**2 + 1/6 - 1/6*b + a*b**3 = 0.
-1/2, 1
Let s(j) = -j**2 + 11*j + 3. L