)/9
Suppose -t - 2*t = 15. Let g(u) = -u**2. Let x(p) = -2*p**2 - 18*p + 27. Let d(y) = t*g(y) + x(y). Suppose d(w) = 0. What is w?
3
Let b(q) be the first derivative of q**5/15 - q**4/6 - 17*q**2/2 - 6. Let u(o) be the second derivative of b(o). Determine w so that u(w) = 0.
0, 1
Let a(v) be the first derivative of -v**4/18 + 22*v**3/27 - 40*v**2/9 + 32*v/3 + 73. Find o such that a(o) = 0.
3, 4
Let r(f) be the first derivative of f**3/30 - 2*f/5 - 64. Determine d, given that r(d) = 0.
-2, 2
Let z(h) = 21*h**2 + 41*h - 2. Let j(x) = -x**3 - 11*x**2 - 2*x - 18. Let w be j(-11). Let b(d) = 4*d**2 + 8*d. Let v(l) = w*z(l) - 22*b(l). Factor v(q).
-4*(q + 1)*(q + 2)
Let p(n) be the third derivative of -n**6/30 + 4*n**5/3 + 43*n**4/6 + 44*n**3/3 + 183*n**2. What is o in p(o) = 0?
-1, 22
Suppose -11*w - 4 = -12*w. Factor 38*s**3 - 42*s**w - 24*s**2 + 38*s**4 - 10*s**3.
-4*s**2*(s - 6)*(s - 1)
Suppose -5*g + 0 = -25. Suppose 75 = g*d - 280. Factor -4*a**3 - d*a - 4 + 75*a + 0*a**2 + 4*a**2.
-4*(a - 1)**2*(a + 1)
Let q(k) be the second derivative of -k**4/24 + k**3 - 35*k**2/4 + 752*k. Factor q(z).
-(z - 7)*(z - 5)/2
Let y(b) = b**2 - 51*b + 583. Let t be y(34). Let 3/2*l**t - 3/2*l**4 + 0*l + 3/2*l**2 - 3/2*l**3 + 0 = 0. What is l?
-1, 0, 1
Suppose -2*m = 6 - 30. Let s be (m/(-15))/((-3)/5). Factor 0 - s*t - 2/3*t**3 - 2*t**2.
-2*t*(t + 1)*(t + 2)/3
Let v be 4/30*-1 - (-4)/30. Suppose -81*t + 75*t + 30 = v. Suppose 0*n**3 - 4/5*n**4 + 0 - 2/5*n + 2/5*n**t + 4/5*n**2 = 0. Calculate n.
-1, 0, 1
Let i be -319*(6/(-5))/3. Let u = i - 127. Solve -9/5*t**2 - u*t + 0 = 0.
-1/3, 0
Let v be (-10)/4*(-156)/65. Suppose -v*y + 73 = 49. Factor 56/9*n**2 + 16/9*n + 0 + 2*n**y + 20/3*n**3.
2*n*(n + 2)*(3*n + 2)**2/9
Find d such that 2*d - 1/3*d**5 - 5/3*d**3 + 5/3*d**4 + 0 - 5/3*d**2 = 0.
-1, 0, 1, 2, 3
Let d(f) be the second derivative of f**8/13440 - f**6/1440 - f**4/3 - 9*f. Let j(c) be the third derivative of d(c). Solve j(p) = 0 for p.
-1, 0, 1
Let z(d) be the first derivative of 2/3*d**6 + 1/3*d**3 + 0*d**5 - 3/4*d**4 + 27 + 0*d + 0*d**2. Factor z(q).
q**2*(q + 1)*(2*q - 1)**2
Let t(m) be the third derivative of m**8/18480 - m**7/1848 + m**6/990 + 13*m**3/6 + 18*m**2. Let j(p) be the first derivative of t(p). Factor j(k).
k**2*(k - 4)*(k - 1)/11
Let q = 947 + -943. Let 0 - 6/7*y**3 + 4/7*y - 2/7*y**q + 2/7*y**5 + 2/7*y**2 = 0. Calculate y.
-1, 0, 1, 2
Suppose 0 = -5*b + 7*z - 11*z + 26, -2*b = -z. Let c(l) be the first derivative of -l + l**b - 1/3*l**3 - 5. Suppose c(q) = 0. Calculate q.
1
Let m(q) be the second derivative of -q**5/120 - q**4/24 + 5*q**3/18 + 40*q + 1. Factor m(f).
-f*(f - 2)*(f + 5)/6
Let c(x) be the second derivative of -5/8*x**4 + 0 + 1/16*x**5 + 0*x**2 + 43*x + 5/3*x**3. Factor c(j).
5*j*(j - 4)*(j - 2)/4
Let m(t) be the third derivative of -t**5/210 + t**4/28 - 255*t**2. Factor m(u).
-2*u*(u - 3)/7
Let p(h) be the second derivative of -2*h**6/15 + 3*h**5/5 + 3*h**4 - 18*h**3 + 43*h - 1. Factor p(c).
-4*c*(c - 3)**2*(c + 3)
Factor 7 - 12*y**2 + 44*y + 56*y + 45*y + 7 - 63*y.
-2*(y - 7)*(6*y + 1)
Let r(k) = 2*k**2 - k - 1. Let b(w) = 5*w**2 - 4*w - 17. Let o(g) = b(g) - 2*r(g). Factor o(l).
(l - 5)*(l + 3)
Factor 3*k**3 - 4*k**3 + k**4 - 7*k - 5*k**2 + 4*k.
k*(k - 3)*(k + 1)**2
Let u(x) = -x**3 - 188*x**2 - 2106*x + 2304. Let b(f) = 3*f**3 + 376*f**2 + 4214*f - 4608. Let y(z) = -3*b(z) - 5*u(z). Determine v, given that y(v) = 0.
-24, 1
Let n = 1/1003 - -10027/3009. Factor -n*v - 4/3 + 8/3*v**3 + 2/3*v**5 + 8/3*v**4 - 4/3*v**2.
2*(v - 1)*(v + 1)**3*(v + 2)/3
Let z(n) be the second derivative of -2*n**3/3 - 3*n**2/2 + 6*n. Let o be z(-4). Let -10 - 3*t + 5*t**2 - 5 + o = 0. Calculate t.
-2/5, 1
Let c(t) be the first derivative of -2*t**2 + 0*t**3 - 14 + 11/4*t**4 + 1/3*t**6 + 0*t + 9/5*t**5. Suppose c(y) = 0. What is y?
-2, -1, 0, 1/2
Suppose -3*n + 2*l = 6*l, 5*l - 5 = -5*n. Suppose -2*t - 2*w = -2, n*w + 12 = -0*w. Factor -2*o**2 - 10*o - 2*o**4 + t*o**3 + 10*o.
-2*o**2*(o - 1)**2
Suppose 43 = -n - 5*c, 219 = -5*c + 174. Factor 5/3*r + 0 - 4/3*r**n.
-r*(4*r - 5)/3
Let j(g) be the first derivative of -5*g**4/8 + 25*g**3/3 - 35*g**2 + 60*g + 157. Factor j(c).
-5*(c - 6)*(c - 2)**2/2
Let g(b) be the first derivative of b**6/24 - b**5/10 - 3*b**4/8 + 2*b**3/3 + 5*b**2/8 - 3*b/2 + 155. Solve g(k) = 0.
-2, -1, 1, 3
Let k(n) = n**2 + 10*n - 7. Let p be k(-11). Factor 8*g**2 + 7*g - 10*g**3 - 7*g - 2*g + p*g**4.
2*g*(g - 1)**2*(2*g - 1)
Let c be (95/(-38))/(10/(-6)). Factor 3/2*y**3 - c*y**4 + 0 - 1/2*y**2 + 1/2*y**5 + 0*y.
y**2*(y - 1)**3/2
Let o(l) be the second derivative of 1/10*l**2 + 1/10*l**3 + 1/100*l**5 + 12*l + 1/20*l**4 + 0. Suppose o(s) = 0. Calculate s.
-1
Let h(x) be the first derivative of -2*x**5/55 + 16*x**3/33 - 32*x/11 - 17. Factor h(m).
-2*(m - 2)**2*(m + 2)**2/11
Let r = -22696 + 22699. Factor -48/11*g - 2/11*g**r + 32/11 + 18/11*g**2.
-2*(g - 4)**2*(g - 1)/11
Suppose 0*o**2 - 1/3*o**3 - 2/3 + o = 0. Calculate o.
-2, 1
Let t(r) be the first derivative of 1/15*r**3 - 5 + 1/5*r**2 + 0*r. Suppose t(a) = 0. Calculate a.
-2, 0
Let t = -1941/20 - -389/4. Let -2/5 - 1/5*v**3 + 1/5*v + 3/5*v**2 - t*v**4 = 0. Calculate v.
-2, -1, 1
Let c = -114 + 112. Let j be 0*2/6 + (-6)/c. Solve 3/10*m**2 - 2/5 - 2/5*m + 1/5*m**j - 1/10*m**4 = 0.
-1, 2
Let x(k) be the third derivative of -1/72*k**6 + 1/60*k**5 + 0 + 1/18*k**3 + 0*k - 19*k**2 - 2/315*k**7 + 5/72*k**4. Suppose x(y) = 0. What is y?
-1, -1/4, 1
Let t be (-65)/(-26) + -4 - (-2)/4*3. Solve -2/3*h**4 - 8/3 + 10/3*h**2 + t*h + 0*h**3 = 0.
-2, -1, 1, 2
Let n(c) be the second derivative of -c**4/3 - 368*c**3/3 - 16928*c**2 + 381*c. Suppose n(b) = 0. Calculate b.
-92
Let g = 33785 + -33782. Solve 0 + 0*s**2 - 1/4*s**4 + 3/4*s**g + 0*s = 0.
0, 3
Let o(w) be the second derivative of w**6/240 - w**5/16 - w**4/8 + 5*w**3/24 + 11*w**2/16 + 815*w. Factor o(p).
(p - 11)*(p - 1)*(p + 1)**2/8
Let m(l) = 50*l**3 + 360*l**2 - 2380*l. Let z(d) = 3*d**3 + 21*d**2 - 140*d. Let n(p) = 2*m(p) - 35*z(p). Let n(o) = 0. Calculate o.
-7, 0, 4
Suppose -5*r - 5*q = 0, 2*q = -4*r - 0*q + 8. Suppose -p - p = 6, g + r = -3*p. Factor -d**5 + 4*d**4 + 0*d**g - d**3 - 3*d**5.
-d**3*(2*d - 1)**2
Let t(l) be the first derivative of -l**5/4 - 22*l - 27. Let w(o) be the first derivative of t(o). Factor w(d).
-5*d**3
Let c be (28/(-60) + 0)*(-6)/4. Let w(j) be the first derivative of c*j**2 - 7/20*j**4 + 2/15*j**3 - 5 - 2/5*j. Factor w(p).
-(p - 1)*(p + 1)*(7*p - 2)/5
Let l = -65 + 68. Let -4*f - 1 + f + l*f**2 + 2 - f**3 = 0. Calculate f.
1
Let i = 37 - 20. Let m(t) = 9*t**2 - 53*t - 17. Let q(c) = -3*c**2 - 1 - 4*c + 18*c + 7 + 4*c. Let w(l) = i*q(l) + 6*m(l). Solve w(k) = 0 for k.
0, 4
Suppose p + 4 = 5*k, 3*p = 2*p + 1. Let u(g) = 3*g**2 - g - 1. Let b be u(k). Factor -3/4*t**2 + t + 1/4*t**4 + b - 1/2*t**3.
(t - 2)**2*(t + 1)**2/4
Let a(j) be the third derivative of -j**5/105 - 25*j**4/7 - 3750*j**3/7 - 2*j**2 + 42. Let a(k) = 0. What is k?
-75
Suppose 8 = -p + 5*b - 0, -5*b = 4*p - 18. Let t(y) = -y**4 + y**3 + y**2 + y. Let m(l) = 4*l**4 + 6*l**3 + 8*l**2 + 2*l. Let z(c) = p*t(c) + m(c). Factor z(k).
2*k*(k + 1)**2*(k + 2)
Suppose i + 5*a - 3 + 5 = 0, -3*a = -i + 6. Factor -8*g**4 + 4*g**4 - g**5 + g**i + 4*g**4.
-g**3*(g - 1)*(g + 1)
Solve 4*h + 1/3*h**2 - 64/3 = 0.
-16, 4
Let w(l) be the first derivative of -21 - 6/7*l - 5/14*l**2 - 1/21*l**3. Let w(q) = 0. Calculate q.
-3, -2
Let j = 2/8997 - -53956/116961. Factor -j*y**2 - 2/13*y**4 + 6/13*y**3 + 0 + 2/13*y.
-2*y*(y - 1)**3/13
Let f(k) be the second derivative of -11/3*k**2 + 0 - 42*k - 1/18*k**4 - 4/3*k**3. Find s, given that f(s) = 0.
-11, -1
Let j be (-7140)/8820 + (-5)/(-3). Let -2/7*t**3 - 6/7 + j*t**2 + 2/7*t = 0. What is t?
-1, 1, 3
Let d be (-4 - 0) + 2200/500. Let o(l) be the second derivative of d*l**2 - 1/15*l**3 - 9*l - 1/30*l**4 + 0. Factor o(h).
-2*(h - 1)*(h + 2)/5
Let k(q) be the first derivative of -7/9*q**2 - 26 - 2/45*q**5 - 2/3*q**3 - 5/18*q**4 - 4/9*q. Let k(c) = 0. Calculate c.
-2, -1
Let 8*f**3 + 5*f + 10*f**3 - 10*f**3 - 29*f - 20*f**2 + 4*f**4 = 0. Calculate f.
-3, -1, 0, 2
Let a(k) be the second derivative of 0*k**2 - 19*k - 2/3*k**3 + 0 + 1/12*k**4. Let a(q) = 0. What is q?
0, 4
Factor 32/5 - 34/5*i + 2/5*i**2.
2*(i - 16)*(i - 1)/5
F