ive of -1/10*w**5 + 0*w**2 + 2*w + 0*w**4 + 0 + 0*w**3. Factor j(o).
-2*o**3
Let p(q) be the first derivative of 4*q + 3 + 2*q**2 + 1/3*q**3. Factor p(b).
(b + 2)**2
Let v(b) be the third derivative of -b**5/90 - b**4/18 - b**3/9 + b**2. Let v(k) = 0. Calculate k.
-1
Suppose -4*s = -5*s. Let a(t) be the first derivative of 0*t - 1/6*t**3 - 1/12*t**6 + 1/8*t**4 - 1 + s*t**2 + 1/10*t**5. Let a(q) = 0. What is q?
-1, 0, 1
Let l(a) = -4*a**4 + 33*a**3 - 57*a**2 + 49*a - 12. Let o(x) = x**4 - 8*x**3 + 14*x**2 - 12*x + 3. Let q(u) = 2*l(u) + 9*o(u). Suppose q(m) = 0. Calculate m.
1, 3
Let w = 3 - 7. Let b be (1/w)/(-12 - -11). Factor -b*h**2 - 1/4*h + 0.
-h*(h + 1)/4
Let a(y) be the third derivative of -y**6/1440 + y**5/240 + y**4/32 - y**3/2 + 2*y**2. Let m(p) be the first derivative of a(p). What is b in m(b) = 0?
-1, 3
Let b(q) be the first derivative of -1 + 0*q**2 + q**3 + 3/4*q**4 + 0*q. Let b(t) = 0. What is t?
-1, 0
Factor -5*x**3 + 3*x**3 - 3*x**3.
-5*x**3
Let q(h) = -h. Let d(m) = 3*m**2 + 26*m + 12. Let u(y) = -d(y) - 6*q(y). Factor u(z).
-(z + 6)*(3*z + 2)
Suppose -2*v**4 - 4*v**3 + 2*v**3 + v**2 + v**2 + v + v = 0. What is v?
-1, 0, 1
Factor -2*f - 2/3*f**3 + 0 - 8/3*f**2.
-2*f*(f + 1)*(f + 3)/3
Let c = -10108494/3835 + 34260/13. Let p = -4/59 - c. Factor 0 - 2/5*t**4 + p*t**3 + 0*t**2 + 0*t.
-2*t**3*(t - 1)/5
Solve 36/5 + 16/5*m**2 - 2/5*m**3 - 42/5*m = 0.
2, 3
Let k(y) = -y - 2. Let j be k(-8). Let t = j - 4. Factor -15*v**3 - 8*v**4 - 2*v**5 + 2*v**3 + v**3 - 2*v - 8*v**t.
-2*v*(v + 1)**4
Let d be 9/6*20/105. Factor 2/7*b + 0*b**4 - 4/7*b**3 + 0*b**2 + 0 + d*b**5.
2*b*(b - 1)**2*(b + 1)**2/7
Let s be -23 - -16 - (1 - 10). Solve -15/2*z + 7/2*z**s + 9/2 - 1/2*z**3 = 0.
1, 3
Let r(a) = -4*a - 1. Let l be r(-1). Let 3*p**2 - 54*p + 54*p + p**l = 0. Calculate p.
-3, 0
Let q = -5 - -8. Suppose -r**3 - r + 3*r**2 + q*r - 2*r**2 = 0. Calculate r.
-1, 0, 2
Let r(x) = x**3 + 5*x**2 + 2*x - 5. Suppose 16 = -0*v - 4*v. Let j be r(v). Solve -1 - m - 2*m + m**j + m**2 + 2*m = 0 for m.
-1, 1
Let n(p) be the first derivative of 0*p + 4 + 1/8*p**4 + 0*p**2 - 1/6*p**3. Factor n(f).
f**2*(f - 1)/2
Let l(i) = -4*i + 8. Let x be l(7). Let u be ((-5)/x)/((-2)/(-24)). Factor 9*d + d**3 + 2*d**3 - 5*d**2 - u - 4*d**2.
3*(d - 1)**3
Let u be (-2)/(-4) + (-45)/(-6). Let o(b) = 2*b + u*b**2 + 7 - 11*b - b**2. Let g(h) = -3*h**2 + 4*h - 3. Let j(y) = -10*g(y) - 4*o(y). Let j(t) = 0. What is t?
1
Let l(m) be the first derivative of -m**6/24 - m**5/10 - m**4/16 + 12. What is h in l(h) = 0?
-1, 0
Let a(v) be the third derivative of -27/8*v**4 - 1/40*v**6 + 3*v**2 - 27/2*v**3 + 0*v - 9/20*v**5 + 0. Factor a(j).
-3*(j + 3)**3
Let s(t) be the third derivative of -t**7/70 - t**6/10 + 2*t**4 + 8*t**3 - 5*t**2. Factor s(z).
-3*(z - 2)*(z + 2)**3
Let t(r) be the first derivative of -r**6/6 + 2*r**5/5 - 2*r**3/3 + r**2/2 - 1. Factor t(s).
-s*(s - 1)**3*(s + 1)
Let g(l) = -15*l**3 - 15*l**2 + 35*l + 75. Let h(b) = 8*b**3 + 7*b**2 - 17*b - 37. Let c(w) = -3*g(w) - 5*h(w). What is s in c(s) = 0?
-2, 2
Suppose -2*b - 30 = -0*b. Let d be ((-10)/b)/((-1)/(-6)). Determine u, given that u + u + 0*u - d*u - 2*u**2 = 0.
-1, 0
Let c be (33/(-1080))/((-1)/4). Let p = 5/18 + c. Determine j, given that 0*j + 4/5*j**4 + 0 + 0*j**2 + 2/5*j**3 + p*j**5 = 0.
-1, 0
Let y(k) = -k**3 + k**2 + 1. Let t(r) = -9*r**2 + 12*r**3 - 3*r**2 - 11*r**4 + 3*r + 8*r**4 - 3. Let z(j) = -t(j) - 3*y(j). Find n such that z(n) = 0.
0, 1
Let d(k) = -4*k**3 - 100*k**2 - 768*k - 2048. Let g(l) = 8*l**3 + 201*l**2 + 1536*l + 4096. Let i(j) = 9*d(j) + 4*g(j). Factor i(t).
-4*(t + 8)**3
Let l(f) be the second derivative of -f**8/1260 - f**7/315 - f**6/270 + f**3 + 7*f. Let v(i) be the second derivative of l(i). Find b, given that v(b) = 0.
-1, 0
Let o(q) be the second derivative of -q**5/40 + q**3/12 - 23*q. Find z, given that o(z) = 0.
-1, 0, 1
Factor 0 - 20*m**3 - 24*m + 3*m + 8 + 36*m**2 - 7*m + 4*m**4.
4*(m - 2)*(m - 1)**3
Let s(y) = -y**2 + 10*y - 5. Let p be s(8). Let z = -8 + p. Factor -4*k**3 + 3*k**3 + z*k**2 - 6 + 2.
-(k - 2)**2*(k + 1)
Determine z so that 2*z**4 + 0*z**4 + 5*z**2 + 4*z**3 - 6*z**4 + 3*z**2 = 0.
-1, 0, 2
Suppose -5*n - 18 = -6*n. Let b be n/15 - 6/15. Factor 0*t - b*t**2 + 0 + 2/5*t**3.
2*t**2*(t - 2)/5
Let v = -15 + 77/5. Factor -v*w**2 + 0 + 2/5*w.
-2*w*(w - 1)/5
Let p(r) = -r**3 - 10*r**2 + 9*r - 13. Let z be p(-11). Suppose -j - 2*j**2 - z*j**3 - j - 9*j**2 = 0. Calculate j.
-1, -2/9, 0
Let a(u) be the first derivative of -u**5/30 + u**4/8 - u**3/18 - u**2/4 + u/3 - 6. Suppose a(l) = 0. Calculate l.
-1, 1, 2
Let q(m) be the second derivative of -1/42*m**4 + 0*m**3 + 0 + 2*m + 0*m**2. Determine p so that q(p) = 0.
0
Let b(a) = a**2 - 6*a + 2. Let z be b(6). Let p be -3 - -1*2 - -3. Factor 3*r + 2*r**p - 3*r**2 - z*r.
-r*(r - 1)
Suppose 3*p = -5*k - 0*p + 123, 5*p = -3*k + 61. Let v = k - 53/2. Find m, given that 2*m + v + 3/2*m**2 = 0.
-1, -1/3
Let n(v) be the first derivative of 0*v + 0*v**2 + 0*v**3 + 1/3*v**6 + 0*v**5 - 1/2*v**4 - 1. Find p such that n(p) = 0.
-1, 0, 1
Let 4/7*t**3 - 6/7*t**2 + 0 + 2/7*t = 0. What is t?
0, 1/2, 1
Let c(k) be the first derivative of -k**6/2 - 3*k**5/5 + 3*k**4/2 + 2*k**3 - 3*k**2/2 - 3*k - 9. Suppose c(h) = 0. What is h?
-1, 1
Factor 0*l**3 - 4*l**2 - l**2 + 7*l**3 - 2*l**3.
5*l**2*(l - 1)
Let t(a) = 3*a + 1 - 2*a**2 + a - 3*a. Let z(i) = -3*i**2 + i + 2. Let u(y) = -8*t(y) + 5*z(y). Factor u(s).
(s - 2)*(s - 1)
Suppose 8 + 6 = -3*d + 4*z, -3*z = 5*d - 25. Suppose v**4 + 2*v**3 - 3*v**3 + 2*v**2 - 5*v**2 + 3*v - d*v + 2 = 0. Calculate v.
-1, 1, 2
Let j = 724/219 + 2/73. Let x = -3 + 5. Let 14/3*t**x - 4/3 + j*t = 0. What is t?
-1, 2/7
Let w = -113/2 - -569/10. Factor 0*l - w + 2/5*l**2.
2*(l - 1)*(l + 1)/5
Let i be 0*((-10)/4 + 2). Suppose -6*a**3 + 2*a**4 + 4*a**2 + 2*a**2 - 2*a + i*a**2 = 0. What is a?
0, 1
Suppose 2*m = -3*m + 390. Let b be 12/m - (-2)/(-13). Suppose b - 2/7*r**3 + 4/7*r**2 - 2/7*r = 0. What is r?
0, 1
Let m = 4705/3 + -1535. Let r = -33 + m. Factor -1/6 - r*u - 1/6*u**2.
-(u + 1)**2/6
Let l(b) = -78*b**2 - 21*b - 1. Let j(g) = -g**2 + g. Let v(o) = -3*j(o) - l(o). Factor v(k).
(9*k + 1)**2
Let w(n) be the third derivative of -n**9/181440 - n**8/60480 + n**5/20 - 3*n**2. Let v(y) be the third derivative of w(y). Let v(q) = 0. What is q?
-1, 0
Let y(j) = -j**2 - 4*j + 5. Let s be y(-4). Let q(d) be the third derivative of 0 + 1/16*d**4 - 1/60*d**s + 0*d - 2*d**2 - 1/12*d**3. Factor q(v).
-(v - 1)*(2*v - 1)/2
Suppose -17*n = -31*n. Let 0*p + 1/3*p**2 - 1/6*p**4 - 1/6 + n*p**3 = 0. Calculate p.
-1, 1
Let v(g) = -g**2 - 1. Let y(d) = -30*d**2 + 20*d - 40. Let q(o) = -25*v(o) + y(o). Suppose q(l) = 0. Calculate l.
1, 3
Let p = -204/7 - -1034/35. Let p*q**2 + 8/5*q + 8/5 = 0. Calculate q.
-2
Factor 126/13*d**3 + 8/13*d**2 + 0 - 8/13*d.
2*d*(7*d + 2)*(9*d - 2)/13
Let 4/3*i - 4/3*i**2 + 0 = 0. Calculate i.
0, 1
Suppose d = -2*d. Let j(q) be the second derivative of -1/3*q**3 + 2*q + 0 - 1/6*q**4 + d*q**2. Find p such that j(p) = 0.
-1, 0
Let h(q) = -q**2 + q + 1. Let p(a) = 55*a - 55. Let s(n) = 15*h(n) + p(n). Suppose s(m) = 0. Calculate m.
2/3, 4
Let d be -3*(5 + -3)/8. Let n = -1/2 - d. Solve -1/2*a**2 - n*a + 0 - 1/4*a**3 = 0 for a.
-1, 0
Factor -1/7*t**2 + 1/7*t + 2/7.
-(t - 2)*(t + 1)/7
Let y = 3034/9 + -336. What is s in -y*s**4 + 4/9 - 2/9*s + 26/9*s**3 - 2*s**2 = 0?
-2/5, 1
Let x(n) be the second derivative of -n**6/60 - n**5/40 + n**4/24 + n**3/12 - n. Let x(c) = 0. Calculate c.
-1, 0, 1
Suppose 2*c = -4*y + 110, 2*c - 4*y - 14 - 136 = 0. Let i be (-3)/(-15) + c/175. What is h in 0*h - 2/7*h**4 - i*h**3 + 0 - 2/7*h**2 = 0?
-1, 0
Let o(k) be the first derivative of k**3 - 9*k**2/2 - 5. Let o(t) = 0. Calculate t.
0, 3
Let o(v) = 5*v**2 - 3*v + 2. Let k be o(1). Factor 70*h**3 - 17*h**4 + 8*h - 31*h**k - h**4 + 52*h**2.
-h*(h - 2)*(7*h + 2)**2
Let g(k) = 4*k + 2 - 7*k**2 - 5*k + 8*k**2. Let u be g(2). Factor -3 - 2 + u - q**3 + q**2 + q.
-(q - 1)**2*(q + 1)
Let t(l) be the first derivative of -2*l**5/65 - l**4/13 + 2*l**2/13 + 2*l/13 + 16. Determine v so that t(v) = 0.
-1, 1
Solve -1/2*n**2 - 1/2 + n = 0 for n.
1
Suppose -6 = -3*r - o - 1, o - 11 = -5*r. Factor 0 - i**2 - 2 + r*i**2.
2*(i - 1)*(i + 1)
Let o be (-1)/(21/(-9) - 