47*z**p - 67*z**2 - 28*z - 19*z + 15*z - 16 - 4*z**3.
-4*(z + 1)*(z + 2)**2
Let h = -81 - -82. Factor h + 2 + 2*m**2 - 15 - 2*m.
2*(m - 3)*(m + 2)
Let i(p) = -p + 1. Let l(m) = -4*m**3 - 25*m**2 - 44*m - 2. Let w(n) = -6*i(n) + l(n). Solve w(u) = 0 for u.
-4, -2, -1/4
Factor -4*d**4 - 2*d**4 - 3*d**4 + 5*d**4 - 4*d**2 + 8*d**3.
-4*d**2*(d - 1)**2
Let q = -844 + 844. Let h(g) be the third derivative of 0*g**3 + 1/120*g**5 - 7*g**2 - 1/24*g**4 + q*g + 0. Let h(o) = 0. Calculate o.
0, 2
Determine r, given that -4/7*r**5 + 8/7*r**4 - 128/7*r**2 + 60/7*r**3 + 0 + 64/7*r = 0.
-4, 0, 1, 4
Suppose 4*s + 20 = 0, -5*s = 2*x + 9 - 4. Let f(l) be the first derivative of -2*l + 5/3*l**3 - 3/2*l**2 + x. Factor f(j).
(j - 1)*(5*j + 2)
Let 26 + 24 + 215*t - 9*t**2 - 36*t**2 = 0. Calculate t.
-2/9, 5
Let l(a) be the second derivative of a**6/60 - 3*a**5/40 - a**4/8 + 11*a**3/12 - 3*a**2/2 + 89*a. Solve l(p) = 0.
-2, 1, 3
Factor 14/9*n - 26/9*n**4 + 44/9*n**3 - 2/9 + 2/3*n**5 - 4*n**2.
2*(n - 1)**4*(3*n - 1)/9
Let z(q) = q**3 - 6*q**2 - 10*q + 9. Let k be z(7). Let h = 14 + k. Let 8*m**3 - 8*m**3 + 3*m + h - m**3 = 0. What is m?
-1, 2
Let j = -678 - -1036. Suppose -2*r + 182 + j = 0. What is f in -r*f**2 - 4*f**4 - f**4 - 205 - 200 + 540*f + 60*f**3 = 0?
3
Factor 14 - 5*z - 5*z**2 - 7*z + 6*z**2 - 2*z**2 - z**2.
-2*(z - 1)*(z + 7)
Factor 2*b + 18/5*b**4 + 0 - 58/5*b**2 + 78/5*b**3.
2*b*(b + 5)*(3*b - 1)**2/5
Let l(r) = r**2 + 2*r - 4. Let d be l(2). Factor 176*m**3 - 174*m**3 + 4*m**d - 5*m**4.
-m**3*(m - 2)
Let b(c) be the third derivative of -c**5/30 - 9*c**4/4 - 26*c**3/3 - 1043*c**2. What is s in b(s) = 0?
-26, -1
Let y = 38137 + -266958/7. Solve -y*s**2 - 1/7 - 2/7*s = 0 for s.
-1
Let t(h) = -h**3 + 4*h**2 + h. Let z be t(-1). Determine w, given that 6*w**2 - 9*w**3 - 13 + 3*w**z - 3*w**3 + 12*w + 4 = 0.
-1, 1, 3
Let 10*j**3 - 143733*j**5 + 170*j**2 - 2*j - 85*j**4 - 85 - 3*j + 143728*j**5 = 0. Calculate j.
-17, -1, 1
Let y(j) = -3*j + 20 - 4*j + 18*j + j**2 + j. Let l be y(-10). Solve l + 0*r + 2/7*r**5 + 2/7*r**4 - 2/7*r**3 - 2/7*r**2 = 0.
-1, 0, 1
Let n be (-4352)/(-168)*9/(-78). Let y = -11/13 - n. Factor 0 - y*x**2 - 3/7*x**4 + 6/7*x + 12/7*x**3.
-3*x*(x - 2)*(x - 1)**2/7
Let h be -70*2/44 - (-4)/22. Let w be h/(-3)*(-11)/(-22). Suppose -1/6*a**3 + w*a + 0*a**2 + 1/3 = 0. What is a?
-1, 2
Let l(q) = 58*q**2 + 2*q + 36. Let r(f) = 2*f**2 + f + 2. Let v(k) = -2*l(k) + 36*r(k). Factor v(a).
-4*a*(11*a - 8)
Let k(r) = -2*r**2 - 5*r + 3. Let x be k(-3). Suppose a + 3*w - 8 = 0, -2*a - a - w + 8 = x. Factor -18/7*l**2 - 2/7*l**4 - a*l - 10/7*l**3 - 4/7.
-2*(l + 1)**3*(l + 2)/7
Let p(f) = -35*f**2 + 41*f - 11. Let b be (3/9)/((-1)/15). Let a = b - -2. Let j(w) = -18*w**2 + 21*w - 6. Let x(n) = a*p(n) + 5*j(n). Factor x(k).
3*(k - 1)*(5*k - 1)
Let b(a) be the first derivative of 2*a**5/5 - 2*a**4 + 8*a**3/3 + 130. Let b(m) = 0. What is m?
0, 2
What is b in 2/9*b**2 - 4/9*b - 2/9*b**4 + 0 + 4/9*b**3 = 0?
-1, 0, 1, 2
Factor -4*w**3 - 572*w + 965 + 1854*w**2 - 1954*w**2 - 289.
-4*(w - 1)*(w + 13)**2
Let r(f) be the first derivative of 0*f + 0*f**3 + 13 + 108/5*f**5 + 81/2*f**6 + 3*f**4 + 0*f**2. What is s in r(s) = 0?
-2/9, 0
Let w be 222/36 - (2*-1)/(-12). Suppose 0 = 5*u + 3*h - 3, 2*h - 2 = -w*u + 2*u. Suppose 1/3*c**2 + u - 1/3*c**3 + 0*c = 0. Calculate c.
0, 1
Let t = 1223/69 - 377/23. Factor 0*y + t*y**4 + 0 + 4/3*y**2 + 8/3*y**3.
4*y**2*(y + 1)**2/3
Suppose -3*v = 3*m - m - 16, 0 = -2*m - 5*v + 24. Suppose -5*x = -25, m*x = -2*o - x + 19. Factor -2/3*r**3 + 0 + 4/3*r**o - 2/3*r.
-2*r*(r - 1)**2/3
Suppose m - 1 = -n, m + 2*m = 5*n + 27. Factor -4*o**m - 9*o + 2*o**5 + 3*o - 2*o**4 + 4*o**2 + 4*o**3 + 2.
2*(o - 1)**4*(o + 1)
Let g be (-280)/45 - 2/(-9). Let i(p) = p**2 + 6*p + 2. Let r be i(g). Factor j**r + 0*j + 0*j + j - 2*j.
j*(j - 1)
Let f(x) be the first derivative of -x**9/4032 - x**8/1120 - 2*x**3 - 39. Let r(u) be the third derivative of f(u). Factor r(i).
-3*i**4*(i + 2)/4
Let l(k) = 2*k**4 + 65*k**3 + 165*k**2 + 164*k + 50. Let b(i) = i**4 + 65*i**3 + 165*i**2 + 167*i + 50. Let d(h) = -3*b(h) + 4*l(h). Factor d(r).
5*(r + 1)**3*(r + 10)
Let u(q) be the second derivative of 0 + 1/240*q**5 + 1/2*q**2 + 1/96*q**4 - 1/12*q**3 + 5*q. Let z(t) be the first derivative of u(t). Factor z(j).
(j - 1)*(j + 2)/4
Let w be 4/8 - (71/(-18) + 4). Let i = -14 + 17. Factor 10/9*g + 8/9*g**2 + 2/9*g**i + w.
2*(g + 1)**2*(g + 2)/9
Let w = -54 - -58. Solve 110*n**3 + 7*n**2 + 0*n - 113*n**3 - w + 0*n = 0 for n.
-2/3, 1, 2
Factor 3*i - 131*i - 2*i**2 - 65 - 339 - 1644.
-2*(i + 32)**2
Let g(u) be the second derivative of 0*u**4 + 3/4*u**5 - 3*u**2 + 1/5*u**6 + 0 - 39*u - 5/2*u**3. What is l in g(l) = 0?
-2, -1, -1/2, 1
Let q be 0/(2*(-2 - -1)). Suppose 4*i - 4*i + i = q. Factor -4/5*g + 2/5*g**2 + i.
2*g*(g - 2)/5
Suppose 13*a = 2 + 206. Let t(c) be the second derivative of 2/5*c**5 + 0 - 32/3*c**3 + 8/3*c**4 + a*c**2 - 1/3*c**6 + 1/21*c**7 + 2*c. Factor t(i).
2*(i - 2)**3*(i - 1)*(i + 2)
Let g(i) = 17*i**4 - 563*i**3 - 1478*i**2 - 502*i - 2. Let r(a) = 30*a**4 - 1125*a**3 - 2955*a**2 - 1005*a - 5. Let z(j) = 5*g(j) - 2*r(j). Factor z(m).
5*m*(m - 25)*(m + 2)*(5*m + 2)
Let u(z) be the third derivative of 5*z**8/336 - z**7/21 + z**5/6 - 5*z**4/24 - 272*z**2. Factor u(c).
5*c*(c - 1)**3*(c + 1)
Let b(z) = 5*z**2 - 23*z + 28. Let m(s) = -6*s**2 + 24*s - 24. Let v(j) = -3*b(j) - 2*m(j). Find h, given that v(h) = 0.
3, 4
Let n(y) = y**2 - 10*y + 19. Let c be n(8). Factor 0 - 6*u - 1 - 11 - c*u + 3*u**2.
3*(u - 4)*(u + 1)
Suppose -15*h - 28*h = 4*h. What is q in 3/5*q**4 + 7/5*q**3 + 0*q**2 - 4/5*q + h = 0?
-2, -1, 0, 2/3
Let r = 803/12 - 200/3. Solve 0*n + r*n**2 + 0 = 0 for n.
0
Let n(z) = 3*z**2 + 88*z + 675. Let s be (66/(-44))/(3/4). Let l(u) = -6*u**2 - 175*u - 1350. Let o(t) = s*l(t) - 5*n(t). Solve o(v) = 0.
-15
Let v(t) be the first derivative of t**6/2 + 9*t**5/4 + 15*t**4/8 - 15*t**3/4 - 21*t**2/4 + 616. What is x in v(x) = 0?
-2, -7/4, -1, 0, 1
Suppose 4*c - 10 = -2. Let x be -3*(0 + c/(-3)). Factor -6*y + 6*y - 4*y**3 - x*y**2 - 2*y**4.
-2*y**2*(y + 1)**2
Suppose -60/11*c + 2/11*c**2 + 450/11 = 0. Calculate c.
15
Let o be (24/15)/(6/195). Factor 5*l**2 + l**2 + 8*l**2 - 16 + o*l.
2*(l + 4)*(7*l - 2)
Let n(a) = 3 + 10*a - 5 + 3 + 6. Let g be n(5). Factor -2*z**2 - 2*z + g - 57.
-2*z*(z + 1)
Let r(i) be the second derivative of 2/3*i**3 + 0 + 9*i + 2*i**2 - 3/20*i**5 - 5/12*i**4. Factor r(m).
-(m - 1)*(m + 2)*(3*m + 2)
Let g(r) be the third derivative of r**6/180 - r**5/30 - r**4/4 - 5*r**3/9 - 2*r**2 - 96. Determine c so that g(c) = 0.
-1, 5
Let g(m) be the second derivative of 0*m**2 - 14*m + 3 - 8/9*m**3 - 1/9*m**4. Factor g(h).
-4*h*(h + 4)/3
Suppose 21*x + 14*x = 175. Let i(n) be the first derivative of 0*n**2 - 2 + 0*n - 9/20*n**4 + 2/5*n**3 + 3/25*n**x. Determine c so that i(c) = 0.
0, 1, 2
Factor -45*x + 348968*x**2 + 120 - 14*x - 9*x - 348964*x**2.
4*(x - 15)*(x - 2)
Suppose -12/7 - 4/7*n**4 + 24/7*n**3 + 40/7*n - 48/7*n**2 = 0. Calculate n.
1, 3
Let m = -50 + 61. Let s(k) = k**2 - 10*k - 11. Let v be s(m). Factor 1/3*p**2 + v - 1/3*p.
p*(p - 1)/3
Let t be 0/(-1*15/3*(-13)/65). Factor 4/5*o**2 - 4/5 + t*o.
4*(o - 1)*(o + 1)/5
Solve 53/9*k + 22/9 + 7/9*k**3 - 1/9*k**4 + 13/3*k**2 = 0 for k.
-2, -1, 11
Find k, given that -41*k**4 + 21*k**4 - 36*k + 11*k**3 + 76*k**2 + 25*k**3 + 24*k**4 - 80 = 0.
-5, -4, -1, 1
Let j = -707/12 + 715/12. Suppose -j*o**2 - 2/3*o**3 + 0*o + 0 = 0. What is o?
-1, 0
Let z(j) be the second derivative of -1/4*j**3 + 0 + 1/48*j**4 - 33*j - 7/8*j**2. Factor z(i).
(i - 7)*(i + 1)/4
Suppose -4*a + 12*a - 40 = 0. Determine x, given that 6*x - 7*x**3 + 4 + 71*x**a + 75*x**5 - 144*x**5 - 4*x**2 - x**3 = 0.
-1, 1, 2
Let b(k) be the second derivative of k**7/5880 + k**6/420 - k**5/56 - 4*k**4/3 + 26*k. Let i(x) be the third derivative of b(x). Factor i(o).
3*(o - 1)*(o + 5)/7
Let l(p) be the second derivative of 0 - 1/18*p**4 - 1/3*p**2 - 2/9*p**3 + 18*p. Factor l(y).
-2*(y + 1)**2/3
Let y = -5/993 + 667/993. Factor y*m**4 + 0*m**3 - 2/3*m**2 + 0 + 0*m.
2*m**2*(m - 1)*(m + 1)/3
Let n be 10/(-6)*(-31)/155. Solve 1/3*l**2 + 1/3*l - n*l**3 - 1/3 = 0 for l.
-1, 1
Let l = 2 + -4. Let p be (8 - 3) + l*1. Factor s + 0*s**p - s**4 - 5*s**3 + 4*