10 + 8)/((-1)/(-6)). Let b(r) = u*c(r) - 3*a(r). Factor b(p).
3*p**3*(p - 1)*(p + 2)
Let y(n) be the second derivative of n**7/14 - 13*n**6/5 + 21*n**5 + 98*n**4 - 15*n. Factor y(a).
3*a**2*(a - 14)**2*(a + 2)
Let j(i) = -25*i - 88. Let r be j(-9). Let g = 139 - r. Factor 0 + 0*a**g - 1/3*a**3 + 1/3*a.
-a*(a - 1)*(a + 1)/3
Suppose 3*l = -5*j - 16, -3*l + 4 = -2*l - 3*j. Let x be (-44)/18*12/16 - l. Factor 2/3*p**2 + x*p**3 + 1/3 + 5/6*p.
(p + 1)**2*(p + 2)/6
Let g(q) be the second derivative of -4*q**2 - 1/5*q**5 + 1/2*q**4 - 40*q - 1/15*q**6 + 0 + 4/3*q**3. Factor g(m).
-2*(m - 1)**2*(m + 2)**2
Solve 6/5*g**5 + 184/5*g + 52*g**2 + 34*g**3 + 48/5 + 52/5*g**4 = 0.
-3, -2, -1, -2/3
Let c(d) be the third derivative of -d**9/540 + d**8/140 - d**7/210 - d**6/90 + d**4/3 - 33*d**2. Let v(l) be the second derivative of c(l). Factor v(w).
-4*w*(w - 1)**2*(7*w + 2)
Let d(u) be the third derivative of 0*u**3 - 1/540*u**6 + 0*u + 11*u**2 + 0 - 1/12*u**4 + 1/45*u**5. Find r such that d(r) = 0.
0, 3
Let j(s) be the third derivative of -s**6/160 + 7*s**5/20 - 13*s**4/8 + 488*s**2. Solve j(t) = 0 for t.
0, 2, 26
Let v be (10 - 6) + (-1 - 1). Factor -3*m - 2*m**3 + 5*m - 6*m + 6*m**v.
-2*m*(m - 2)*(m - 1)
Let u = -3 - -32. Let w = u + -27. Factor 4 + 0 + 2*p**w - 1 + 5 + 8*p.
2*(p + 2)**2
Let s(i) be the third derivative of -i**5/240 - i**4/48 + 6*i**2 - 3*i. Factor s(r).
-r*(r + 2)/4
Let o(k) = -5*k**3 + 9*k**2 + 18*k. Let g(s) = -11*s**3 + 19*s**2 + 39*s. Let h(a) = -4*g(a) + 9*o(a). Find m such that h(m) = 0.
-1, 0, 6
Let i(j) be the second derivative of -j**6/150 - j**5/50 - j**4/60 + 9*j. What is h in i(h) = 0?
-1, 0
Let j(u) be the second derivative of -u**4/18 - 7*u**3/9 + 8*u + 5. Factor j(g).
-2*g*(g + 7)/3
Let o(u) = u**2 + 4*u + 2. Let g be o(-4). Let 32 + 24*k**g + 4*k**3 + 2*k + 23*k + 23*k = 0. What is k?
-2
Solve -16*l + 48 + 4/3*l**2 = 0.
6
Let y(o) be the second derivative of -2*o**7/273 + 19*o**6/195 - o**5/2 + 50*o**4/39 - 68*o**3/39 + 16*o**2/13 + 2*o + 51. What is q in y(q) = 0?
1/2, 1, 2, 4
Let a be (6/(-15)*-3)/(6/220). Let g be 2 - 3/2*a/(-33). Determine s so that 3/2*s**2 - 3/2*s**3 + 0 + 1/2*s**g - 1/2*s = 0.
0, 1
Find h, given that 50*h**3 - 30 - 224*h**4 - 10*h**5 + 9 - 19 + 189*h**4 + 10*h + 125*h**2 = 0.
-4, -1, 1/2, 2
Let b(n) = -n**3 + 5*n**2 + 15*n - 76. Let g be b(4). Determine t so that 0*t - 6/7*t**4 + g*t**2 + 0 - 3/7*t**5 - 3/7*t**3 = 0.
-1, 0
Suppose 0 = -8*n + 16*n - 24. Let b(y) be the first derivative of 1/3*y**n + 13 + 0*y**2 + 0*y. Factor b(u).
u**2
Let k be -5*((-330)/50 + 6). Find y, given that 0*y + 4/7*y**4 + 16/7*y**k + 0 + 12/7*y**2 = 0.
-3, -1, 0
Let m(c) be the first derivative of -21*c**5/25 + 127*c**4/10 - 31*c**3 - 1008*c**2/5 + 196*c/5 - 427. Suppose m(v) = 0. Calculate v.
-2, 2/21, 7
Let y be (5 - 7)*(-15)/(-6). Let m(s) = -45*s**4 - 41*s**3 - 3*s**2 - 5. Let b(z) = 22*z**4 + 20*z**3 + 2*z**2 + 2. Let u(a) = y*b(a) - 2*m(a). Solve u(h) = 0.
-1/2, -2/5, 0
Let u(n) = -5*n**3 - 7*n**2 - 6*n + 4. Let f(p) = 9*p**3 + 13*p**2 + 11*p - 7. Let b(x) = -4*f(x) - 7*u(x). Suppose b(a) = 0. What is a?
-2, -1, 0
Let f(y) be the first derivative of 0*y**2 + 0*y + 22 - 3/4*y**4 - 2/3*y**3. Find w such that f(w) = 0.
-2/3, 0
Let p(r) = 17*r**2 + 3*r - 10. Let q be p(-4). Let v = q + -742/3. Find z, given that 2/3 + 2/3*z**4 + 8/3*z + 4*z**2 + v*z**3 = 0.
-1
Let x = -10 - -8. Let f = x + 4. Let -2*u + 2*u - u**f + 4*u - 3*u = 0. What is u?
0, 1
Suppose -1928/3*t - 112/3*t**3 + 256/3 + 3644/3*t**2 = 0. What is t?
1/4, 2/7, 32
Let c(h) = 2*h - 4. Let y(n) = -1. Let v(w) = c(w) - 5*y(w). Let j(a) = -27*a**2 + 198*a - 21. Let i(s) = -j(s) + 15*v(s). Factor i(t).
3*(t - 6)*(9*t - 2)
Let r(i) be the second derivative of 0*i**2 + 2/105*i**6 - 38*i - 1/147*i**7 + 2/21*i**4 + 0 + 0*i**3 + 1/10*i**5. Suppose r(p) = 0. Calculate p.
-1, 0, 4
Let f(b) = -b**3 - 3*b**2 + 11*b - 1. Let d be f(-5). Let t be (9/d)/((-1)/2). Factor -3*k**3 - 10*k**2 + 6*k**2 - t*k + 2*k.
-k*(k + 1)*(3*k + 1)
Factor -2*p**2 + 8*p - 14*p - p + 5*p + 4*p.
-2*p*(p - 1)
Let 119*h**4 + 3*h**2 - 105*h**4 + 10*h**5 + 14*h**5 - 14*h**3 - 7*h**2 + 0*h**3 = 0. What is h?
-1, -1/4, 0, 2/3
Let m(i) be the second derivative of 2/9*i**3 - 1/3*i**2 + 5*i - 1/24*i**4 + 0. Let m(h) = 0. What is h?
2/3, 2
Let w(g) = 5*g**4 - 27*g**3 + g**2 + 30*g + 6. Let d(s) = -36*s**4 + 190*s**3 - 8*s**2 - 212*s - 44. Let h(v) = 6*d(v) + 44*w(v). Suppose h(o) = 0. Calculate o.
-1, 0, 1, 12
Factor -5*t**3 - 9*t**2 - 39*t**4 - 54 + 34*t**4 + 94*t**2 - 126 + 105*t.
-5*(t - 4)*(t - 1)*(t + 3)**2
Suppose -3*y = 133 - 151. Let t(z) be the third derivative of 1/200*z**y + 0*z**3 + 1/40*z**4 + 0 + 1/50*z**5 + 0*z - 5*z**2. Find h such that t(h) = 0.
-1, 0
Let m(r) be the first derivative of 6*r**3 - 165*r**2/2 + 168*r - 97. Factor m(y).
3*(y - 8)*(6*y - 7)
Let o = 178 - 122. Suppose o*r - 30*r + r**2 + 2 - 3*r**4 - 31*r + 5*r**3 = 0. Calculate r.
-1, 2/3, 1
Let h(k) be the first derivative of k**6/240 + k**5/16 + k**4/4 + 29*k**3/3 - 12. Let f(v) be the third derivative of h(v). Factor f(t).
3*(t + 1)*(t + 4)/2
Let a be (-1715)/(-630) - -4*6/(-108). Factor -a*t + 1/2*t**2 + 0.
t*(t - 5)/2
Let d(c) be the second derivative of -3*c**4/4 + c**3/2 + 3*c**2 - 2*c + 3. What is a in d(a) = 0?
-2/3, 1
Find i such that 22*i**4 + 36*i**2 - 2*i**3 - 12*i**4 - 19*i**4 + 8*i**3 - 3*i**5 + 24*i = 0.
-2, -1, 0, 2
Let h = 61 - 61. Find f such that 3/7*f**3 + 0 + h*f**2 + 0*f = 0.
0
Let j(g) be the first derivative of -g**6/72 + 5*g**5/24 - 5*g**4/6 + 17*g**3 + 13. Let x(o) be the third derivative of j(o). Factor x(t).
-5*(t - 4)*(t - 1)
Let z(o) = o**3 - o**2 - 6. Let m be z(3). Let -m - 3/4*v**2 - 6*v = 0. What is v?
-4
Let b be 392/10290 - (-2)/21. Factor 4/15*s**3 + 2/15*s**2 + 0*s + b*s**4 + 0.
2*s**2*(s + 1)**2/15
Let l(k) be the first derivative of -9 - 3267/4*k**4 - 6*k**2 - 132*k**3 + 0*k. Factor l(j).
-3*j*(33*j + 2)**2
Factor -10*r - 3*r**2 + 2*r**3 + 57*r**4 + 35 - 39 - 3*r**2 - 55*r**4.
2*(r - 2)*(r + 1)**3
Suppose -362*p + 36*p**3 + 172*p + 118*p + 30*p**2 + 3*p**3 + 3*p**4 = 0. What is p?
-12, -2, 0, 1
Let f(b) = -b**3 - 12*b**2 - 21*b - 8. Let v be f(-10). Suppose -4*p - 2 = -10. Factor -2*u**p - 3*u**v + u**2 - u + 5*u.
-4*u*(u - 1)
Suppose 0 = -3*j + 3*k + 60, 0*j - 3*k = 3*j - 30. Let n(s) = -12*s**4 + 18*s**3 + 39*s**2 + 36*s + 12. Let q(v) = -v**4. Let b(i) = j*q(i) - n(i). Factor b(x).
-3*(x + 1)**2*(x + 2)**2
Let -5/2 - 1/8*g**2 + 21/8*g = 0. What is g?
1, 20
Solve 16*i + 72*i**3 - 201*i + 90*i - 12*i**3 + 192*i**2 + 4*i**4 - 161*i = 0.
-8, 0, 1
Let c(v) be the second derivative of -v**4/3 + 16*v**3/3 + 18*v**2 + 2*v + 100. Factor c(t).
-4*(t - 9)*(t + 1)
Suppose 2 - 54 = 4*j. Let p = j - -18. Factor -p*t**3 - 3*t**3 - 4*t**4 + 8*t + 4 + 0.
-4*(t - 1)*(t + 1)**3
Find l such that -33*l**4 - 9/2*l**5 + 12*l**2 + 0 + 18*l - 69/2*l**3 = 0.
-6, -1, 0, 2/3
Let k(z) = -6*z**3 - 8*z**2 - 2*z + 36. Let u(d) = -16*d**3 - 25*d**2 - 6*d + 114. Let q(o) = 11*k(o) - 4*u(o). Suppose q(f) = 0. What is f?
-2, 3, 5
Let g = -3112/2265 + -14/151. Let p = g + 59/30. Determine k, given that -1/2*k**4 + 0*k + 1/2*k**3 + 1/2*k**2 + 0 - p*k**5 = 0.
-1, 0, 1
Let w(f) be the first derivative of 125*f**7/21 - 5*f**6/3 - 9*f**5 + 26*f**4/3 - 8*f**3/3 - 23*f - 23. Let a(v) be the first derivative of w(v). Factor a(n).
2*n*(n + 1)*(5*n - 2)**3
Let d(c) be the second derivative of -13*c + 5/18*c**3 + 1/18*c**4 - 2/45*c**6 - 1/15*c**5 - 1/126*c**7 + 1/3*c**2 + 0. Factor d(y).
-(y - 1)*(y + 1)**3*(y + 2)/3
Let z = 746 - 739. Let v(i) be the second derivative of -2/3*i**3 - z*i + 7/12*i**4 + 0 - 1/10*i**5 - 2*i**2. Let v(l) = 0. What is l?
-1/2, 2
Let r be (0 - 7)*(-288)/7056. Factor r*n**2 + 0 + 6/7*n**3 + 6/7*n**4 + 2/7*n**5 + 0*n.
2*n**2*(n + 1)**3/7
Let m(w) = -3*w**2 - 15*w + 3. Let c be m(-5). Factor -131*d - 15 + c*d**2 + 68*d + 51*d.
3*(d - 5)*(d + 1)
Let a(g) = -8*g + 41. Let z be a(7). Let r be ((6/z)/(5/(-25)))/1. Let -2/13*i**r + 0 + 0*i - 2/13*i**3 = 0. What is i?
-1, 0
Let r(g) = g**3 - g**2 - 5*g + 6. Let s be r(4). Suppose -19*d**4 - s*d**4 + 12*d**2 - 17*d**3 - 11*d**4 - 111*d**3 - 4 + 22*d = 0. Calculate d.
-2, -1/2, 1/4
Find a such that -36 - 39*a**2 + 84*a + 7*a**4 - 17*a**4 + 3*a**5 + 25*a**4 - 27*