)
Suppose -4*p = -3*i - 8*p - 30, -3*i + 60 = -6*p. Factor -k**i - 1/4*k**3 + 0 - k.
-k*(k + 2)**2/4
Let j(n) be the second derivative of -n**6/75 + 9*n**5/50 - 7*n**4/15 + 3*n - 1. Factor j(a).
-2*a**2*(a - 7)*(a - 2)/5
Suppose -27*h - 16 = -29*h. Let x be (12/h)/((-4)/(-8)). Factor 0 + 2/7*l - 2/7*l**2 - 2/7*l**x + 2/7*l**4.
2*l*(l - 1)**2*(l + 1)/7
Let y be 36/(-9) - (0 - 4*2). What is k in -y + 23 - 3 - 4*k**2 = 0?
-2, 2
Let f be (-1 - (-198)/216)*(3 + -7). Factor 1/3 - 2/3*g + f*g**2.
(g - 1)**2/3
Let o = 14298 + -128678/9. Determine v, given that -4*v**2 - 16/9 + 44/9*v + 4/9*v**4 + o*v**3 = 0.
-4, 1
Factor 2*l**2 + 2 + 13046*l + 2 - 13040*l.
2*(l + 1)*(l + 2)
Factor 62/3*b**3 - 16/3*b**2 + 0*b + 8/3*b**4 + 0.
2*b**2*(b + 8)*(4*b - 1)/3
Let u be 1743/91 + -2 + 3. Let -18/13*m**5 + 24/13 + 114/13*m**4 - 254/13*m**3 + u*m**2 - 128/13*m = 0. What is m?
2/3, 1, 3
Let n(q) be the second derivative of -q**9/15120 + q**8/6720 + q**7/1260 + 3*q**4/2 + 5*q. Let y(u) be the third derivative of n(u). Find m such that y(m) = 0.
-1, 0, 2
Let j be 94/(-2) + (-7 - 1)/(-4). Let q = j - -45. Factor 0*i + 1/2*i**3 + 1/4*i**2 + q + 1/4*i**4.
i**2*(i + 1)**2/4
Let q(g) be the second derivative of -5*g**4/12 - 25*g**3/6 + 15*g**2 - 2*g - 5. Factor q(v).
-5*(v - 1)*(v + 6)
Let r = 16 - 10. Let m = -15 - -19. Find q, given that -15*q + 19*q + 2*q**3 + 5*q**m - 10*q**2 - r*q**5 + 5*q**4 = 0.
-1, 0, 2/3, 1
Suppose 2*y = 3*f + 2*f - 20, -5*f = -3*y - 25. Factor 4*n**2 + 4*n**2 - 4 + f*n**2 - 4*n**3 - 4*n**3 + 14*n.
-2*(n - 2)*(n + 1)*(4*n - 1)
Suppose 0 = -5*i - 5*a + 20, 13*i + a = 16*i + 4. Let k(p) be the second derivative of -6*p - 1/2*p**3 + p**4 + i*p**2 + 0. Let k(o) = 0. Calculate o.
0, 1/4
Let z(u) be the first derivative of 3*u**4/4 - 7*u**3/3 - u**2 - 7. Let o(q) = -35*q**3 + 85*q**2 + 25*q. Let v(f) = 2*o(f) + 25*z(f). Factor v(w).
5*w**2*(w - 1)
Let s = -84 + 86. Factor 3*q + 24*q**2 - 6*q**s - 18 - 15*q**2.
3*(q - 2)*(q + 3)
Let j(a) be the third derivative of a**5/90 - 5*a**4/36 + 182*a**2. Factor j(x).
2*x*(x - 5)/3
Let u(h) = -38*h**5 - 112*h**4 - 68*h**3 + 92*h**2 + 97*h + 20. Let y(t) = -t**5 + t**4 - t**3 - t**2 - t. Let p(o) = -u(o) + 3*y(o). What is n in p(n) = 0?
-2, -1, -2/7, 1
Let s(t) be the second derivative of t**6/45 + 2*t**5/5 + 35*t**4/18 - 4*t**3/3 - 12*t**2 + 2*t - 3. Factor s(i).
2*(i - 1)*(i + 1)*(i + 6)**2/3
Let h be 2/406*((-13770)/55 + 1). Let v = 9/203 - h. Solve -10/11*l**3 - 18/11*l**2 - 4/11 - v*l - 2/11*l**4 = 0.
-2, -1
Let q = 1023 + -1021. Suppose 0 - 6/7*i + 39/7*i**q - 12/7*i**5 - 72/7*i**3 + 51/7*i**4 = 0. Calculate i.
0, 1/4, 1, 2
Let h = 452/669 - 2/223. Let b = 11128/16701 - -2/5567. Suppose -h*a**3 + 2/3*a + 2/3 - b*a**2 = 0. What is a?
-1, 1
Let c(u) be the third derivative of 0*u - 1/660*u**6 + 14*u**2 + 1/33*u**4 - 1/330*u**5 + 4/33*u**3 + 0. Solve c(f) = 0.
-2, -1, 2
Let x(b) be the first derivative of -135*b**2 - 25/2*b**4 + 25 + b**5 + 60*b**3 + 135*b. Suppose x(a) = 0. What is a?
1, 3
Let i(f) be the third derivative of f**5/660 + f**4/88 - 3*f**3/11 + 23*f**2. Factor i(c).
(c - 3)*(c + 6)/11
Let i(w) = -w**2 - 1. Let f(b) = 5*b**2 - 138*b + 137. Let u(v) = f(v) + 2*i(v). Factor u(j).
3*(j - 45)*(j - 1)
Let j(g) be the second derivative of -g**6/105 + 29*g**5/70 + 213*g. Factor j(r).
-2*r**3*(r - 29)/7
Let j(v) be the third derivative of -v**5/12 - 5*v**4/2 + 70*v**3/3 + 57*v**2. Suppose j(z) = 0. Calculate z.
-14, 2
Let z = 1/389 - -775/1167. Let p(n) be the first derivative of z*n**3 + 6/5*n**5 - 5/2*n**2 + 11/4*n**4 - 2*n - 3. Find j such that p(j) = 0.
-1, -1/2, 2/3
Determine f so that 3/2*f + 2*f**2 + 1/4*f**4 - 3/2*f**3 - 9/4 = 0.
-1, 1, 3
Let z(n) be the first derivative of -n**7/1470 - n**6/126 - 4*n**5/105 - 2*n**4/21 - 10*n**3/3 + 2. Let o(q) be the third derivative of z(q). Factor o(l).
-4*(l + 1)*(l + 2)**2/7
Suppose -19*p = 33*p + 34*p. Find j, given that 5/6*j + p - 5/6*j**2 = 0.
0, 1
Suppose 4*s - 3*g - 14 = 0, g = 5*s - 3*s - 6. Let 24*t - 12*t + 6*t**2 - 9 + 0*t**2 + 0*t**s + 3*t**4 - 12*t**3 = 0. Calculate t.
-1, 1, 3
Let w(d) be the second derivative of d**7/189 + d**6/27 + 2*d**5/45 + 92*d. Suppose w(n) = 0. What is n?
-4, -1, 0
Let h(p) = p**2 + 27*p + 22. Let r(g) = -3*g**2 - 56*g - 43. Let l(m) = -5*h(m) - 2*r(m). Factor l(n).
(n - 24)*(n + 1)
Let c(p) be the second derivative of 5*p**4/12 + 25*p**3 + 13*p - 1. Let c(k) = 0. What is k?
-30, 0
Let i(o) be the third derivative of o**8/60480 - o**7/3024 + o**6/360 - 7*o**5/60 - 2*o**2. Let u(g) be the third derivative of i(g). Factor u(w).
(w - 3)*(w - 2)/3
Let z be (-2)/14 + (-1 - (-528)/21). Suppose 20 = 11*q - z. Determine n so that 2/3 + 1/3*n**3 - 1/3*n**q - 5/3*n + n**2 = 0.
-2, 1
Let s(k) = -5 + 3*k**2 + 9 + 2*k**2 - 6*k**2. Let r be s(0). What is l in l**3 + l + 8*l**2 + 3*l + l**4 - 4*l**r = 0?
-1, -2/3, 0, 2
Let u(c) be the second derivative of c**4/15 + 4*c**3/15 - 16*c**2/5 + 643*c. Factor u(t).
4*(t - 2)*(t + 4)/5
Factor -128/3 - 16/3*z - 1/6*z**2.
-(z + 16)**2/6
Let s(d) be the first derivative of -2*d**6/9 - 52*d**5/15 - 13*d**4 - 92*d**3/9 + 80*d**2/3 + 48*d + 135. Solve s(p) = 0.
-9, -2, -1, 1
Let c(m) be the third derivative of m**8/420 - m**6/45 + m**4/6 - 8*m**3/3 - 22*m**2. Let z(v) be the first derivative of c(v). Suppose z(h) = 0. What is h?
-1, 1
Let x(w) be the third derivative of -2/5*w**3 - 81/100*w**5 - 9/10*w**4 + 0*w + 0 + 9*w**2. Factor x(f).
-3*(9*f + 2)**2/5
Let m(g) be the first derivative of 4*g**3/3 - 6*g**2 + 8*g - 607. What is w in m(w) = 0?
1, 2
Let y = 8395 + -8393. Suppose 0*z + 12/5*z**y + 4/5*z**3 - 16/5 = 0. What is z?
-2, 1
Let a(m) be the third derivative of m**7/350 + 3*m**6/100 + 11*m**5/100 + 3*m**4/20 + 194*m**2. Factor a(d).
3*d*(d + 1)*(d + 2)*(d + 3)/5
Let r(h) be the first derivative of 7*h**4/38 - 130*h**3/57 - 52*h**2/19 + 40*h/19 - 62. Determine y so that r(y) = 0.
-1, 2/7, 10
Let u = -1368 + 27363/20. Let x(j) be the first derivative of 3/5*j**2 - u*j**4 + 1/5*j**3 + 9 + 0*j. Solve x(y) = 0.
-1, 0, 2
Factor 2 + 0*o**2 + 10*o + 0*o - 10 - o**3 - o**2.
-(o - 2)*(o - 1)*(o + 4)
Let i = -5/109 + 124/327. Let p(k) be the second derivative of 0*k**4 - 2/9*k**3 + i*k**2 + k - 1/45*k**6 + 1/15*k**5 + 0. Let p(q) = 0. Calculate q.
-1, 1
Let p(d) be the second derivative of d**4/36 - d**3/6 - 2*d**2/3 + 43*d - 1. Factor p(v).
(v - 4)*(v + 1)/3
Solve -12/11*h**3 - 16/11*h**4 - 2/11*h**5 + 14/11*h + 0 + 16/11*h**2 = 0 for h.
-7, -1, 0, 1
Let x(w) be the second derivative of w**5/120 - w**4/24 + w**3/12 + 11*w**2/2 + 23*w. Let z(i) be the first derivative of x(i). Factor z(g).
(g - 1)**2/2
Let z(p) be the second derivative of p**6/80 - 3*p**5/40 + 5*p**4/32 - p**3/8 - 28*p + 3. Find d such that z(d) = 0.
0, 1, 2
Let f(k) be the first derivative of 1/14*k**4 - 8/21*k**3 + 15 - 1/42*k**6 + 1/2*k**2 - 2/7*k + 2/35*k**5. Factor f(j).
-(j - 1)**4*(j + 2)/7
Find o such that 3*o**2 + 3*o**2 - 8*o**2 + 41*o - 48 - 91*o = 0.
-24, -1
Let y = -23 - -21. Let r be y/(-6) + 25/15. Solve m + 8 + 3*m - 4*m**3 - 4*m**r + 2*m**2 - 6*m**2 = 0.
-2, -1, 1
Let p be (((-4)/(-5))/2)/(5/(-50)*-17). Suppose 2/17*w**4 + 0*w + 0 + 2/17*w**2 - p*w**3 = 0. Calculate w.
0, 1
Let t(g) = -g. Let a(r) = -1. Let j(n) = -n**2 + n + 8. Let m(d) = 40*a(d) + 5*j(d). Let w(o) = m(o) - 5*t(o). Solve w(b) = 0 for b.
0, 2
Let b(z) = 2*z**2 - 131*z - 133. Let a(t) = 2*t**2 - 132*t - 134. Let m(f) = 7*a(f) - 6*b(f). Suppose m(n) = 0. Calculate n.
-1, 70
Let a(j) be the second derivative of 25*j**6/6 + 95*j**5/4 + 95*j**4/2 + 130*j**3/3 + 20*j**2 + 35*j. Suppose a(n) = 0. Calculate n.
-2, -1, -2/5
Factor -3/7*i - 24/7*i**2 + 3/7*i**3 + 24/7.
3*(i - 8)*(i - 1)*(i + 1)/7
Suppose w + 38 = 4*t + 136, -5*w + 2*t + 436 = 0. Let v = w - 429/5. Solve -3/5*k + 3/5*k**2 + 1/5 - v*k**3 = 0 for k.
1
Let h be 282/(-18) + (-3)/9. Let q = h - -18. Factor 9*j**2 - 10*j**q + 2 + 4*j**2 + 5*j.
(j + 1)*(3*j + 2)
Let c = 1/6141 + 6137/24564. Solve 1 + 3/2*i**2 + 9/4*i + c*i**3 = 0.
-4, -1
Let w(d) be the second derivative of 0 + 1/7*d**3 - 3/140*d**5 - 1/28*d**4 + 33*d + 0*d**2. Find z such that w(z) = 0.
-2, 0, 1
Let c(d) be the second derivative of 0*d**3 - 11*d + 0 + 0*d**2 - 3/50*d**5 + 1/30*d**4 - 1/105*d**7 + 1/25*d**6. Factor c(k).
-2*k**2*(k -