s i?
1
Let g = 13/3 - 4. Let y(m) be the second derivative of 1/18*m**4 - m + 0 - g*m**2 + 0*m**3. Factor y(n).
2*(n - 1)*(n + 1)/3
Find q such that -30 + 14*q**2 - 33 + 70 + 99*q = 0.
-7, -1/14
Let a be (1/(-2))/1*-26. Let i = 19 - a. Factor -23*t**4 - i*t**3 - 2*t**2 + 2*t**5 + 14*t**4 + 11*t**4 + 4*t.
2*t*(t - 1)**2*(t + 1)*(t + 2)
Let j(l) be the first derivative of -14 + 2*l - 1/4*l**4 + l**3 - 1/5*l**5 + 5/2*l**2. Determine k, given that j(k) = 0.
-1, 2
Let f(h) = 4*h - 4. Let d be f(2). Let l be -3 + 2 + d + 0. Factor 15*w - 10 + 5*w**2 + w**l - 6*w**3 - 5*w**2.
-5*(w - 1)**2*(w + 2)
Let p be (-9)/(0/1 + -1). Suppose p = 11*q - 8*q. Let -c**q + c + 3*c + 4*c**3 - 6*c**2 - c**3 = 0. What is c?
0, 1, 2
Let c = 50232/5 + -10046. Factor 2/5 - c*r**2 - 2/5*r**3 + 2/5*r.
-2*(r - 1)*(r + 1)**2/5
Suppose 28 = 4*p + 10*p. Find f such that 5*f**2 - 31*f + 29*f - 4*f**p + 1 = 0.
1
Let x(k) be the second derivative of 9*k**5/160 + 7*k**4/16 - 17*k**3/12 + 3*k**2/2 + k - 2. Factor x(d).
(d + 6)*(3*d - 2)**2/8
Let b be 22/(-10) - (-2)/10. Let n be ((-112)/18)/4 - b. Factor -4/9*l**2 - 2/9*l + 2/9*l**3 + n.
2*(l - 2)*(l - 1)*(l + 1)/9
Factor -511*k**3 + 15*k**4 - 10*k**4 + 4*k**5 + 543*k**3 + 16*k**2 + 15*k**4.
4*k**2*(k + 1)*(k + 2)**2
Let k(d) be the third derivative of d**5/150 - d**4/15 - d**3/3 + d**2 + d. Solve k(p) = 0 for p.
-1, 5
Find o such that -15*o**3 - 9*o**5 + 18*o**2 - 17*o**2 - 11*o**2 + 14*o**5 = 0.
-1, 0, 2
Let l(y) = -2*y**4 + 2*y**3 - y**2. Let j(o) = -21*o**4 - 84*o**3 - 66*o**2. Let q(w) = j(w) - 6*l(w). Solve q(x) = 0 for x.
-10, -2/3, 0
Let w be -7*(-314)/126 - 15. Suppose w*p**2 + 4/9*p**3 + 32/9*p + 14/9 = 0. What is p?
-7/2, -1
Let z be (-2 + (-38)/(-20))/((-102)/408). Determine k so that 12/5*k**2 + 2/5*k**4 - 8/5*k + z - 8/5*k**3 = 0.
1
Let s(m) = 13*m**3 + 61*m**2 - 211*m + 137. Let c(l) = 4*l**3 + 20*l**2 - 70*l + 46. Let x(r) = -14*c(r) + 4*s(r). Factor x(k).
-4*(k - 2)*(k - 1)*(k + 12)
Let r(x) be the third derivative of x**6/40 - x**5/2 - 69*x**4/8 - 45*x**3 + 391*x**2 - x. Factor r(o).
3*(o - 15)*(o + 2)*(o + 3)
Let y(m) be the second derivative of -m**5/60 - m**4/6 + 16*m**2/3 - 45*m - 2. Find h such that y(h) = 0.
-4, 2
Let z = -59 - -73. Suppose z*n - 33 = 3*n. Suppose -8/9*f + 8/9*f**2 - 2/9*f**n + 0 = 0. Calculate f.
0, 2
Let m(c) be the first derivative of 0*c**2 + 0*c + 1/4*c**4 + 23 + c**3. Factor m(f).
f**2*(f + 3)
Suppose -11*s - 24 - 8*s - 2*s**2 + 15*s - 12*s = 0. What is s?
-6, -2
Let q = 31094 + -154613/5. Let x = -171 + q. Let 0*g + 8/5 - x*g**2 = 0. What is g?
-2, 2
Suppose 4*x - 5 = 2*x + l, 4*x + 5*l = 31. Factor -7*t - x*t - 21*t + 108 - 4*t + 3*t**2.
3*(t - 6)**2
Factor 2/7*n**4 - 2/7*n**3 + 0 - 6/7*n - 10/7*n**2.
2*n*(n - 3)*(n + 1)**2/7
Let z(p) be the second derivative of -5*p**4/6 - 52*p**3/3 - 20*p**2 + 37*p - 1. Factor z(f).
-2*(f + 10)*(5*f + 2)
Let b(d) = 8*d + 6. Let m(t) = -t**2 + t + 1. Let a(z) = 3*z + 1. Let c be a(-2). Let w be 1*4 + c + 5. Let n(u) = w*m(u) - 2*b(u). Factor n(g).
-4*(g + 1)*(g + 2)
Let o = -38 - -42. Let x(t) = t**2 - t - 2. Let n(h) = -36. Let v(g) = -7. Let m(b) = -3*n(b) + 16*v(b). Let d(u) = o*x(u) - 2*m(u). Factor d(y).
4*y*(y - 1)
Let q(b) be the first derivative of -5 + 9/10*b**2 + 2*b - 3/20*b**4 - 1/10*b**3 + 3/100*b**5. Let v(f) be the first derivative of q(f). Factor v(y).
3*(y - 3)*(y - 1)*(y + 1)/5
Let t(r) be the first derivative of 3*r**5/40 + 39*r**4/32 + 6*r**3 + 27*r**2/4 - 922. Find c, given that t(c) = 0.
-6, -1, 0
Suppose -4*z = -2*b - 28, -2*z + 4*b - 2*b = -18. Suppose -z*n = -9*n. Factor n + 2/3*l + 1/3*l**2.
l*(l + 2)/3
Let u be (-3*5/(-10))/(4/(-72)). Let y = -24 - u. Factor 0 + 2/13*x**2 - 4/13*x + 6/13*x**y.
2*x*(x + 1)*(3*x - 2)/13
Suppose -3*a + 38 = 2*f, -5*a + 6*a = 3*f + 9. Find c such that 3 - a*c - 15/4*c**3 - 57/4*c**2 = 0.
-2, 1/5
Let h(v) be the second derivative of 5*v - 1/70*v**5 - 1/7*v**4 + 0*v**2 - 3/7*v**3 + 0. Determine u so that h(u) = 0.
-3, 0
Let h(c) be the second derivative of c**7/14 + c**6/10 - 3*c**5/20 - c**4/4 + 15*c + 17. Factor h(s).
3*s**2*(s - 1)*(s + 1)**2
Let p(k) = k**5 + k**2. Let m(a) = 18*a**5 + 9*a**4 - 12*a**3 + 15*a**2. Suppose 0 = -3*t, 6*c - 3*c + 2*t - 45 = 0. Let s(n) = c*p(n) - m(n). Factor s(v).
-3*v**3*(v - 1)*(v + 4)
Let b(p) be the first derivative of p**4/4 - p**2/2 + 2*p + 3. Let j be b(0). Factor 2*q**2 - 7*q + 9*q - 2 - j*q**3 + 0*q**2.
-2*(q - 1)**2*(q + 1)
Suppose 26 = 4*c + v, -4*v = 5*c + v - 40. Suppose 0 = -c*t + 27 + 21. Find f such that -f + 2*f - 4*f - 5*f**2 + t*f + 10 = 0.
-1, 2
Let 6*o - o**2 + 109*o**3 - 35*o**3 - 41*o**3 - 34*o**3 = 0. Calculate o.
-3, 0, 2
Factor -508 + 4447*p**2 + 102*p - 4443*p**2 + 402*p.
4*(p - 1)*(p + 127)
Let k(q) = q**2 + 4*q - 2. Let h be k(-5). Let w be (h/(-6))/(2/(-12)). Determine j so that j + w*j + 6*j**2 - 7*j**2 - j = 0.
0, 3
What is i in 4*i**2 - 2162*i**3 + 2164*i**3 + i**4 - 3*i**2 = 0?
-1, 0
Let h(c) be the third derivative of c**6/30 + 2*c**5/15 - 4*c**4/3 - 32*c**2 - 2*c. What is o in h(o) = 0?
-4, 0, 2
Let i = 199 + -307. Let j be (i/10)/(2/(-8)*6). Factor -j*n - 126/5*n**3 + 4/5 + 49/5*n**4 + 109/5*n**2.
(n - 1)**2*(7*n - 2)**2/5
Let o(y) = 8*y**2 - 3*y**3 - 11*y + 2 + 0*y**3 + 2*y**3 - 4*y**3. Let m(u) = -66*u**3 + 102*u**2 - 144*u + 27. Let g(p) = 2*m(p) - 27*o(p). Factor g(z).
3*z*(z - 3)*(z - 1)
Factor -81/4*q + 126*q**2 + 147*q**3 + 3/4.
3*(q + 1)*(14*q - 1)**2/4
Let c(u) = -u**2 - 4*u - 3. Let t(o) = -2*o + 17. Let l be t(9). Let h be c(l). Factor -5/4*v**3 + 3/4*v**2 + 1/2*v + h.
-v*(v - 1)*(5*v + 2)/4
Suppose -7*w**3 + 3*w**4 - 5*w**3 + 0*w**4 - 4*w**2 - 11*w**2 = 0. What is w?
-1, 0, 5
Let t(s) be the second derivative of s**4/3 - 40*s**3/3 - 10*s - 3. Factor t(v).
4*v*(v - 20)
Suppose 3*i - 5*a - 20 = 0, -i + 8*a - 9*a + 4 = 0. Solve 2/3*r + 3*r**4 + 5/3*r**3 - 3*r**2 - 7/3*r**i + 0 = 0 for r.
-1, 0, 2/7, 1
Let i(k) be the first derivative of k**8/2100 - k**7/1050 - k**6/225 + 14*k**3/3 - 44. Let o(b) be the third derivative of i(b). Factor o(y).
4*y**2*(y - 2)*(y + 1)/5
Let v(s) be the second derivative of 5/4*s**4 + 25/6*s**3 - 1/6*s**6 + 0 - 1/4*s**5 - 24*s + 5*s**2. Factor v(r).
-5*(r - 2)*(r + 1)**3
Suppose -2*h = 5*u - 16 + 12, 3*u = h - 2. Factor 1/4*b + 1/2*b**h - 1/4*b**3 - 1/2.
-(b - 2)*(b - 1)*(b + 1)/4
Let g(n) = 110*n + 994. Let u be g(-9). Let x(r) be the second derivative of -r - 1/12*r**6 + 0*r**2 + 5/12*r**u - 1/8*r**5 + 0 + 0*r**3. Factor x(a).
-5*a**2*(a - 1)*(a + 2)/2
Find u, given that 4/3*u**2 - 14/9*u + 2/9 = 0.
1/6, 1
Let o be 62/112 - (-62)/(-496). Let j(d) = d**3 + 6*d**2 - 4*d - 20. Let f be j(-6). Factor -6/7*m**3 + 3/7*m**f + o*m**2 + 0*m + 0.
3*m**2*(m - 1)**2/7
Let b(t) = -t**2 - 7*t + 19. Let s be b(-8). Suppose -30*n + 5 + 40*n**2 - 153*n**4 + 108*n**4 + 10*n**3 + s*n**5 + 9*n**5 = 0. What is n?
-1, 1/4, 1
Let k(h) be the second derivative of -5*h**7/42 - 11*h**6/3 + 18*h**5 - 185*h**4/6 + 125*h**3/6 + 250*h. Suppose k(m) = 0. Calculate m.
-25, 0, 1
Let j(b) be the third derivative of 7*b**2 - 1/3*b**4 + 2/35*b**7 + 0*b + 1/15*b**6 + 0*b**3 + 0 - 1/5*b**5. Factor j(z).
4*z*(z - 1)*(z + 1)*(3*z + 2)
Let n be (126/(-330) - 96/(-528)) + (-16)/(-30). Determine p, given that 34/3*p + n*p**2 + 289/3 = 0.
-17
Suppose p - 5*q - 12 = 0, -36 = -3*p - q + 5*q. Let c(i) be the second derivative of 1/12*i**4 + p*i + 8*i**2 + 0 - 4/3*i**3. Factor c(n).
(n - 4)**2
Suppose -43*q = -8*q + 31*q - 9*q. Let q*u**3 + 0 + u**2 + 1/2*u - u**4 - 1/2*u**5 = 0. What is u?
-1, 0, 1
Let a(k) = 1 + 1517*k**3 + 21 - 755*k**3 - 761*k**3 + 13*k + 12*k**2. Let f be a(-11). Find c such that 0 + 1/4*c**3 + f*c + 1/4*c**2 = 0.
-1, 0
Suppose -3*u + 55 = 2*o, -24 + 0 = -o + 2*u. Suppose 31*c = o*c. Let 0*i + 1/2*i**3 + 1/2*i**2 + c = 0. What is i?
-1, 0
Factor 0 - 1/3*f**2 - 4*f.
-f*(f + 12)/3
Let s(k) = 293*k + 6741. Let g be s(-23). Factor 1/3*j**3 + 4/3 + 8/3*j + 5/3*j**g.
(j + 1)*(j + 2)**2/3
Let b(s) = s**3 + 21*s**2 + 53*s + 33. Let f be b(-17). Let q = 290 - f. Factor 4/7*w**3 - 12/7*w**q + 0 + 0*w.
4*w**2*(w - 3)/7
Let l(q) = -q**3 - 2*q**2 - q - 2. Let u be l(-2). Solve 2*b**4 - 19*b**3 + 9*b**3 + u*b**4 + 3*b**4 + 5*b**5 = 0 for b.
-2, 0, 1
Let r(m) be the first derivative of m**4/6 + 20*m**3/9 + 32*m**2/3 + 64*