+ 6*z. Suppose -13*m - 20 = 6. Let p(k) = 10*k**3 - 29*k**2 + 30*k. Let x(u) = m*p(u) + 11*g(u). Factor x(r).
2*r*(r - 3)*(r - 1)
Let a(t) be the second derivative of 0 - 1/24*t**4 + 0*t**2 - 22*t - 1/12*t**3. Suppose a(p) = 0. Calculate p.
-1, 0
Find q such that 33*q**2 - 26*q**3 - 3*q**4 + 62*q**3 + 25*q + 6 - 23*q**3 - 2*q**5 = 0.
-2, -1, -1/2, 3
Suppose 27/7 - 27/7*j + 9/7*j**2 - 1/7*j**3 = 0. Calculate j.
3
Suppose -3/5*m**4 - 27/5*m**2 + 21/5*m + 3*m**3 - 6/5 = 0. What is m?
1, 2
Let k(s) be the second derivative of -s**7/14 - s**6/4 - 3*s**5/20 + s**4/2 + s**3 + 3*s**2/4 - 46*s. Let k(g) = 0. Calculate g.
-1, -1/2, 1
Solve 20/23 + 6/23*o**2 - 62/23*o = 0 for o.
1/3, 10
Let h = 87 - 31. Let w = h + -54. Factor -4/3*g**2 + 2*g**4 + w*g - 2/3 - 2/3*g**5 - 4/3*g**3.
-2*(g - 1)**4*(g + 1)/3
Let k(z) = 20*z - 100. Let u be k(5). Let i(w) be the second derivative of 1/6*w**4 + u + w - 4*w**2 + 0*w**3. Solve i(h) = 0 for h.
-2, 2
Suppose 4*x - 34 = -5*f + 30, -4*x + f = -64. Suppose 3*r - x = 14. Factor -6*h**2 + 0*h**2 + r*h**2 + 4*h.
4*h*(h + 1)
Factor -21 + 23/2*c - 1/2*c**2.
-(c - 21)*(c - 2)/2
Let k(l) = l + 8. Let h be k(-4). Solve 24 + 39*r**3 - 48*r - 9*r**2 - 12 - 18*r**4 + 6*r**h = 0.
-1, 1/4, 2
Factor 4/3*g**4 + 2/3*g**2 + 5/3*g**3 + 0 + 0*g + 1/3*g**5.
g**2*(g + 1)**2*(g + 2)/3
Let q(x) be the third derivative of 0 - 1/8*x**4 + 4*x**2 + 1/60*x**5 + 1/3*x**3 + 0*x. Factor q(l).
(l - 2)*(l - 1)
Let r(w) be the first derivative of -w**6/6 - 24*w**5/5 + 39*w**4/2 - 80*w**3/3 + 27*w**2/2 - 217. Suppose r(d) = 0. What is d?
-27, 0, 1
Let x(l) be the first derivative of 5/24*l**4 + 4*l**2 + 0*l - 8 + 5/3*l**3 - 1/12*l**5. Let p(y) be the second derivative of x(y). Solve p(a) = 0.
-1, 2
Let s be (-14)/(-99) - (-5 - 10/((-450)/215)). Factor -2/11 - s*g - 2/11*g**2.
-2*(g + 1)**2/11
Factor 13/3*m**2 + 9*m - 1/9*m**3 + 41/9.
-(m - 41)*(m + 1)**2/9
Let b(d) be the second derivative of d**4/48 + 3*d**3/8 - 5*d**2/4 - 2*d + 43. Solve b(z) = 0 for z.
-10, 1
Let m = 3/167 - 121/16032. Let v(r) be the third derivative of 1/24*r**4 + 1/12*r**3 + 3*r**2 + m*r**5 + 0*r + 0 + 1/960*r**6. Suppose v(t) = 0. What is t?
-2, -1
Let f(c) = -2*c**2 - 1053*c + 3 + c**3 + 1054*c + c**2 - 4. Let i(n) = -n**4 + 4*n**2 - 2*n - 1. Let o(v) = 5*f(v) + 5*i(v). Suppose o(g) = 0. Calculate g.
-1, 1, 2
Let g(z) be the second derivative of -z**7/84 - 31*z**6/180 - 109*z**5/120 - 55*z**4/24 - 26*z**3/9 - 5*z**2/3 - 844*z. Find u such that g(u) = 0.
-5, -2, -1, -1/3
Suppose -2*z = 10, -3*a - 10 = -16*z + 21*z. Factor 9/2*i**3 + 0 + 7/2*i**2 + i + 1/2*i**a + 5/2*i**4.
i*(i + 1)**3*(i + 2)/2
Let o = 3363/4 - 840. Factor -1/4 - 3/4*i**2 - 1/4*i**3 - o*i.
-(i + 1)**3/4
Suppose -130*d = 107*d - 948. Suppose -1/3*g**5 - g**3 + 0 + 4/3*g**2 + 4/3*g - 4/3*g**d = 0. What is g?
-2, -1, 0, 1
Let p(u) = u**2 - 6*u + 4. Let y(g) = g - 1. Let w be y(8). Let a be p(w). Suppose 7*l**3 - a*l**2 + 5*l**5 - 17*l**4 + 0*l + 2*l + 14*l**3 = 0. What is l?
0, 2/5, 1
Let z(v) be the first derivative of 4*v**5/5 - 8*v**4 + 24*v**3 - 32*v**2 + 20*v - 144. Factor z(j).
4*(j - 5)*(j - 1)**3
Let v(d) be the first derivative of 13*d**4/54 - 5*d**3/9 + 2*d**2/9 + 7*d + 3. Let a(m) be the first derivative of v(m). Factor a(c).
2*(c - 1)*(13*c - 2)/9
Let a be 1 - (-36*1)/2. Factor a*y**2 - 15*y - 15*y - 14*y**2.
5*y*(y - 6)
Let r(w) be the third derivative of w**5/110 - 35*w**4/132 - 4*w**3/11 + 3*w**2 - 27*w. Find a, given that r(a) = 0.
-1/3, 12
Let m(f) be the second derivative of 3*f**5/40 - f**4/2 - 3*f**3 - 3*f - 6. Factor m(c).
3*c*(c - 6)*(c + 2)/2
Let l(n) be the third derivative of -n**6/90 + 17*n**5/45 - 71*n**4/18 + 110*n**3/9 + 3*n**2 - 89*n. Suppose l(q) = 0. What is q?
1, 5, 11
Factor -2/3*a + 1/2*a**3 + 0 + 0*a**2 + 1/6*a**4.
a*(a - 1)*(a + 2)**2/6
Let o be (-4)/11*2783/(-2530). Suppose -2*k**2 + o*k + 12/5 = 0. Calculate k.
-1, 6/5
Let q(u) be the third derivative of -u**6/180 + 49*u**5/180 + 77*u**4/72 + 13*u**3/9 - 358*u**2 - u. Factor q(x).
-(x - 26)*(x + 1)*(2*x + 1)/3
Find k, given that 9*k - 8*k + 7*k - 2*k**4 + 8*k**3 + 2*k**2 - 16*k = 0.
-1, 0, 1, 4
Let d be ((-2 - 0)/(20 - 21))/((-1)/(-2)). Suppose -28/9*t**2 + 8/9*t + 0 - 56/9*t**3 - 20/9*t**d = 0. Calculate t.
-2, -1, 0, 1/5
Let v(x) be the second derivative of 3*x**5/40 + x**4/2 - 25*x**3/4 - 21*x**2 - 2*x + 214. Let v(b) = 0. Calculate b.
-7, -1, 4
Let k(q) be the second derivative of -2*q**7/105 + 28*q**6/75 - 48*q**5/25 - 14*q**4/15 + 98*q**3/15 - 25*q. Suppose k(y) = 0. What is y?
-1, 0, 1, 7
Let v(s) = 15*s**3 - 16*s**2 + 28*s + 84. Let x(j) = -7*j**3 + 8*j**2 - 13*j - 42. Let q(t) = 6*v(t) + 13*x(t). Factor q(z).
-(z - 7)*(z - 3)*(z + 2)
Let h be (2 + 2)*2 - 4. Let u be (41 + -11)*h/42. Find t, given that -u*t**3 + 6/7*t**4 + 2/7 - 12/7*t + 24/7*t**2 = 0.
1/3, 1
Let b(j) = -j**2 - j. Let v be b(-1). Let z(t) = -t**3 + 9*t**2 - 8*t + 3. Let d be z(8). Solve -2*n**5 + 3*n**3 - 4*n**2 + 5*n**d + v*n**5 - 2*n**3 = 0.
-2, 0, 1
Let y(i) be the second derivative of -i**7/630 + i**6/90 - i**5/30 + 5*i**4/6 + i. Let g(z) be the third derivative of y(z). Factor g(x).
-4*(x - 1)**2
Solve 3/2*c**2 + 105/2 - 18*c = 0 for c.
5, 7
Let z be 21/(-594) - (-23)/253. Let n(m) be the second derivative of 0*m**2 + 0 + 1/36*m**4 + 10*m - z*m**3. Factor n(p).
p*(p - 1)/3
Let l(y) be the second derivative of y**6/75 - y**5/50 - y**4/15 + 42*y - 1. Let l(d) = 0. What is d?
-1, 0, 2
Let g be (39/26)/((-117)/(-12)). Let h = 3 - 1. What is v in -6/13*v + 0*v**h + g*v**3 + 4/13 = 0?
-2, 1
Let q = 82 - 78. Let u be q*12/15 - 3. Factor -1/5*a**2 + 2/5*a - u*a**3 + 0.
-a*(a - 1)*(a + 2)/5
Factor -2*h**4 + 1341*h**2 + 2187*h**2 + 60*h**3 + 3*h**4 - 228*h**3 + h**4.
2*h**2*(h - 42)**2
Let r(f) be the third derivative of f**5/20 + 3*f**4/4 + 4*f**3 + f**2 + 62. Find h such that r(h) = 0.
-4, -2
Let r = -4 - -7. Factor 9*g - 26*g**2 + 8 + 11*g**2 - 6*g**r - g + 5*g**2.
-2*(g - 1)*(g + 2)*(3*g + 2)
Let u(f) = -f**3 + f**2 + 3. Let j be u(0). Solve 3*v**2 + v**j + 4*v**4 - v - 2 + 4*v**4 - 9*v**4 = 0.
-1, 1, 2
Suppose -2*m + 5*z - 6 = 1, 3*m + z - 15 = 0. Let v(a) be the first derivative of 1/7*a**m + 0*a + 10/21*a**3 + 4 + 2/7*a**2. Solve v(r) = 0 for r.
-2, -1/2, 0
Solve -1/9*w**2 + 0 + 4/9*w = 0.
0, 4
Suppose -4*n + 2*t + 77 = 59, 15 = 9*n + 4*t. Let z = -1 - -1. Factor 0 + 0*y**2 - 2/3*y**n + z*y.
-2*y**3/3
Let r(b) be the first derivative of -8/15*b - 46/45*b**3 + 19/15*b**2 + 2/25*b**5 - 19 + 1/6*b**4. What is q in r(q) = 0?
-4, 1/3, 1
Let 4/5*t**4 + 32/5 - 8/5*t + 8/5*t**3 - 36/5*t**2 = 0. What is t?
-4, -1, 1, 2
Let y(z) = z + z + 0*z - 1 + 8. Let w be y(-5). Let m(c) = -c**3 + 5*c**2 + c - 2. Let b(g) = -g**3 + 9*g**2 + g - 4. Let x(a) = w*b(a) + 5*m(a). Factor x(d).
-2*(d - 1)*(d + 1)**2
Factor -2/15*u**3 + 2/15*u - 2/5 + 2/5*u**2.
-2*(u - 3)*(u - 1)*(u + 1)/15
Let m = -1802 - -1805. Factor -8/5 + 0*t**2 - 4/5*t**m + 12/5*t.
-4*(t - 1)**2*(t + 2)/5
Let o(v) = v**3 - v**2 - 5*v. Let p be o(3). Let f(q) be the first derivative of 0*q**3 + 0*q - 1/4*q**4 + 0*q**2 + p. Factor f(s).
-s**3
Let g(t) be the first derivative of 1/45*t**5 + 0*t**2 + 13 - 1/27*t**3 + 0*t**4 + 0*t. Factor g(p).
p**2*(p - 1)*(p + 1)/9
Let z(n) be the first derivative of -n**4/8 - 2*n**3/3 - 3*n**2/4 - 55. Solve z(p) = 0 for p.
-3, -1, 0
Let n(h) be the third derivative of h**5/120 - 13*h**4/48 - 7*h**3/6 - 73*h**2. Suppose n(w) = 0. What is w?
-1, 14
Let y = -10 - -36. Let g = 28 - y. Factor -3/2*q + 1/4*q**g + 9/4.
(q - 3)**2/4
Let g(h) be the third derivative of -h**7/1680 - h**6/240 + 3*h**5/80 + h**4/12 + 2*h**2. Let s(t) be the second derivative of g(t). Find o such that s(o) = 0.
-3, 1
Suppose -69*r + 26*r + 301 = 0. Let j(v) be the second derivative of -r*v + 4/3*v**4 + 2*v**3 + 0 + 0*v**2 + 1/5*v**5. Factor j(z).
4*z*(z + 1)*(z + 3)
Suppose 68/15*j - 578/15 - 2/15*j**2 = 0. Calculate j.
17
Let m(h) be the first derivative of 2/15*h**5 + 0*h - 18 - 1/3*h**4 + 0*h**2 + 2/9*h**3. Find x, given that m(x) = 0.
0, 1
Let t(u) be the second derivative of 4/3*u**2 + 1/60*u**5 + 1/6*u**4 + 0 - 27*u + 2/3*u**3. Factor t(r).
(r + 2)**3/3
Let w be -5 - (-222)/42 - 6/(-7). Factor 0 - 4/7*x**3 + w*x**2 + 0*x.
-4*x**2*(x - 2)/7
Let j(m) be the first derivative of -m**4 + 470*m**3/3 