 - 6/5*q**3.
-2*(q + 3)*(q + 7)*(3*q + 1)/5
Let u(c) be the third derivative of c**5/180 - 5*c**4/72 + c**3/3 + 27*c**2. Factor u(x).
(x - 3)*(x - 2)/3
Suppose 5*u**2 - 3*u**3 + 497*u**5 - 495*u**5 + 25*u**3 + 12*u**4 + 7*u**2 = 0. What is u?
-3, -2, -1, 0
Let h(x) = -7*x**3 - 8*x**2 - 3*x - 3. Let i = -82 - -85. Let o(d) = -22*d**3 - 24*d**2 - 10*d - 10. Let r(q) = i*o(q) - 10*h(q). Factor r(m).
4*m**2*(m + 2)
Let n be (-12)/20 - ((-12)/4)/3. Let w(l) be the first derivative of 0*l + 0*l**2 + n*l**3 + 9/25*l**5 + 4 + 3/4*l**4. Factor w(q).
3*q**2*(q + 1)*(3*q + 2)/5
Let f(a) be the third derivative of -a**8/6720 - a**7/1260 - a**6/720 + a**4/3 + 14*a**2. Let t(r) be the second derivative of f(r). Let t(u) = 0. Calculate u.
-1, 0
Let g(j) = -j**4 + 91*j**3 + 108*j**2 - 4. Let i(m) = m**4 - 181*m**3 - 218*m**2 + 9. Let q(v) = -9*g(v) - 4*i(v). Factor q(c).
5*c**2*(c - 20)*(c + 1)
Let p(u) be the third derivative of -u**8/10080 + u**7/840 - u**6/180 + 2*u**5/15 - 7*u**2. Let h(f) be the third derivative of p(f). Factor h(g).
-2*(g - 2)*(g - 1)
Let o(t) be the third derivative of t**5/80 + t**4/8 - 45*t**3/8 + 32*t**2 - 3*t. Suppose o(m) = 0. What is m?
-9, 5
Solve 5*l - 58*l**3 - 5*l + 10*l**2 + 43*l**3 + 5*l**5 = 0.
-2, 0, 1
Factor -18*q**2 + 20*q - 2*q**2 - 3519*q**3 + 3524*q**3.
5*q*(q - 2)**2
Suppose 4/7*c**3 - 4/7*c - 52/7 + 52/7*c**2 = 0. Calculate c.
-13, -1, 1
Let i(n) be the third derivative of 1/4*n**4 + 1/30*n**5 - n**2 + 0*n + 0 + 2/3*n**3. Factor i(o).
2*(o + 1)*(o + 2)
Let b be 2/6 + 332/12. Let z be (b/6)/(-7)*-6. Solve 2*y**2 + 4*y**5 - 4*y**3 - 3*y**2 - 3*y**2 + 4*y**z = 0 for y.
-1, 0, 1
Suppose 4*v + 0*v = 0. Let c(o) = -25*o + 25. Let b be c(1). Determine l so that 0 + v*l + b*l**2 + 1/3*l**3 = 0.
0
Let h(z) be the second derivative of -z**5/15 - 19*z**4/18 - 22*z**3/9 + 16*z**2/3 + 117*z + 2. Factor h(i).
-2*(i + 2)*(i + 8)*(2*i - 1)/3
Factor -29/3*c**2 - 1/3*c**4 - 4 - 32/3*c - 10/3*c**3.
-(c + 1)**2*(c + 2)*(c + 6)/3
What is b in 11477*b**2 + 12 + 11*b**3 - 24*b - 2*b**3 - 11474*b**2 = 0?
-2, 2/3, 1
What is x in -1/4 + 1/4*x**2 + 1/4*x**3 - 1/4*x = 0?
-1, 1
Let d(m) be the first derivative of m**6/9 + 8*m**5/5 + 3*m**4 - 280*m**3/9 - 49*m**2 - 135. What is o in d(o) = 0?
-7, -1, 0, 3
Let y(n) = 4*n + 125. Let i be y(-30). Let x = 658/3 + -219. Factor 0*r**2 + 0*r**4 + 0 - 1/3*r**3 + x*r**i + 0*r.
r**3*(r - 1)*(r + 1)/3
Let n(v) be the second derivative of v**7/147 + 26*v**6/105 + 169*v**5/70 - 13*v. Factor n(l).
2*l**3*(l + 13)**2/7
Let x be (-20)/4*4/(-365). Let u = x - -649/146. Factor -15/2*a + u + 3/2*a**2 + 3/2*a**3.
3*(a - 1)**2*(a + 3)/2
Let k be (-45)/(-6) - 3/6 - 1375/200. Factor -k*r**3 + 5/4*r - 1/8*r**2 - 1.
-(r - 2)*(r - 1)*(r + 4)/8
Let g(v) be the second derivative of -25/3*v**3 + 0 + 20*v**2 + 1/4*v**5 + 19*v + 5/12*v**4. Determine q so that g(q) = 0.
-4, 1, 2
Let s be (3 - -33)/((-27)/18). Let x be ((-14)/21)/(14/s). Factor x*v**4 + 2/7*v**5 + 0 + 4/7*v**2 + 10/7*v**3 + 0*v.
2*v**2*(v + 1)**2*(v + 2)/7
Factor -y + y**2 + 12*y + 24*y + 25*y + 3*y**2.
4*y*(y + 15)
Let z = -3980 + 3980. Determine a, given that z + 1/12*a + 0*a**2 - 1/12*a**3 = 0.
-1, 0, 1
Let y be 12 + -3*(-24)/(-9) + -2. Let -1/5*o**3 + 11/5*o + 6/5 + 4/5*o**y = 0. Calculate o.
-1, 6
Let s(u) be the first derivative of 2/5*u**3 - 28/5*u**2 + 18/5*u - 5. Factor s(z).
2*(z - 9)*(3*z - 1)/5
Let y(q) = 5*q**4 - 50*q**3 + 30*q**2 + 960*q + 1300. Let i(b) = -b**3 - b**2 - 2. Let z(w) = 10*i(w) + y(w). Solve z(x) = 0.
-2, 8
Let f = 103 - 256. Let x = f + 155. Find a such that 1/4*a**x + 9/4 - 3/2*a = 0.
3
Let x = -79 + 82. Suppose 7*t - 17 + x = 0. Suppose 6/5*p - 3/5*p**t + 9/5 = 0. What is p?
-1, 3
Let w(z) be the first derivative of -2*z**3/15 - 6*z**2/5 - 16*z/5 + 55. Factor w(y).
-2*(y + 2)*(y + 4)/5
Let x(q) be the first derivative of 14/9*q**2 + 4/3*q + 13/27*q**3 - 1/12*q**4 + 33. Let x(k) = 0. Calculate k.
-1, -2/3, 6
Suppose 0*k = -k - 2*a + 6, 12 = k + 5*a. Suppose -5*j - 96 = -13*j. Factor -j*w**4 - 4*w**2 + 9*w**3 + 7*w**k + 0*w**2.
-3*w**2*(w - 1)*(4*w + 1)
Suppose 200/7*a**3 + 4/7*a**5 + 40*a**2 + 44/7 + 60/7*a**4 + 180/7*a = 0. What is a?
-11, -1
Let g(v) be the third derivative of -1/2*v**4 - 21*v - 7/15*v**5 + 0*v**3 - 1/6*v**6 - v**2 - 2/105*v**7 + 0. Factor g(t).
-4*t*(t + 1)**2*(t + 3)
Let d(h) be the first derivative of h**4/54 - h**3/9 - 4*h**2/9 + 10*h - 22. Let g(z) be the first derivative of d(z). Factor g(l).
2*(l - 4)*(l + 1)/9
Let d(l) = 8*l**2 - 4. Let t be d(-4). Suppose -2*k - 116 = -t. Factor -2*y**3 + 4/3*y - 4/3 - 3*y**k + 11/3*y**2.
-(y + 1)**2*(3*y - 2)**2/3
Let v be (0 - 5)/(5/(-6)). Suppose -v*m = -5*s - 2*m + 8, 5*s = -3*m - 6. Factor s*b + 0 + 2/7*b**2 + 2/7*b**3.
2*b**2*(b + 1)/7
Let k(p) = 4*p**2 - 2*p - 2. Let b be k(2). Let f be 30*(1 - 2/b). What is o in 5*o**2 - f*o + 48 + 7*o**2 - 9*o**2 = 0?
4
Let d = -290 - -290. Let n(f) be the third derivative of -5/96*f**4 - 1/60*f**5 - 1/12*f**3 + 3*f**2 + d*f - 1/480*f**6 + 0. Determine u so that n(u) = 0.
-2, -1
Suppose -22*u + 48 = -40. Let a(x) be the first derivative of -3/4*x + u - 3/16*x**4 - 9/8*x**2 - 3/4*x**3. Determine m so that a(m) = 0.
-1
Let r(g) = -6*g**2 - 144*g - 28. Let b(q) = -2*q**2 - 48*q - 10. Let z(h) = 14*b(h) - 5*r(h). Find u, given that z(u) = 0.
-24, 0
Suppose 13*u - 626 = 336. Determine w so that u*w + 75*w - 2 - 146*w - w**2 = 0.
1, 2
Find a, given that -3*a**4 + 3*a**2 + 2*a**5 + 2*a**5 - a**5 + 2*a**3 + 18*a - 23*a**3 = 0.
-2, -1, 0, 1, 3
Let v(k) be the first derivative of -225*k**4/14 + 340*k**3/7 - 124*k**2/7 + 16*k/7 + 115. Find a, given that v(a) = 0.
2/15, 2
Suppose -3243 = 10*t - 3263. Let y(s) be the third derivative of -4*s**t + 1/3*s**3 + 0 - 1/40*s**5 + 1/12*s**4 - 1/420*s**7 + 0*s - 1/60*s**6. Factor y(n).
-(n - 1)*(n + 1)*(n + 2)**2/2
Let v(j) be the first derivative of -j**4/4 - 16*j**3/3 + 17*j**2/2 - 5. Let v(d) = 0. Calculate d.
-17, 0, 1
Find s, given that 0*s**2 - 212*s - 25*s - 151 + 6*s**2 - 277*s + 491 = 0.
2/3, 85
Let g = -7 - -8. Let q(d) = d**2 + 1. Let x(z) = 7*z**2 - 18*z + 31. Let t(v) = g*x(v) - 4*q(v). Let t(j) = 0. What is j?
3
Let k(m) be the second derivative of m**7/14 - 3*m**6/5 - 3*m**5/20 + 3*m**4/2 - 385*m + 2. Factor k(f).
3*f**2*(f - 6)*(f - 1)*(f + 1)
Suppose -96 - 51*m - 3/2*m**2 = 0. What is m?
-32, -2
Let k(j) be the second derivative of 3*j**5/20 + 45*j**4/4 + 675*j**3/2 + 10125*j**2/2 - 213*j. Factor k(u).
3*(u + 15)**3
Let l(u) = 9*u**3 - 618*u**2 + 6*u + 588. Let y(s) = -5*s**3 + 309*s**2 - 3*s - 293. Let a(f) = -8*l(f) - 15*y(f). Find k such that a(k) = 0.
-103, -1, 1
Let r(s) be the third derivative of -s**7/1050 - s**6/120 - s**5/50 + s**4/30 + 4*s**3/15 - 116*s**2. Suppose r(h) = 0. What is h?
-2, 1
Let n(j) be the first derivative of -j**4 + 25*j**3/2 - 9*j**2 + 28*j + 11. Let q(a) be the first derivative of n(a). Factor q(y).
-3*(y - 6)*(4*y - 1)
Let x be ((-8)/(-10))/((-1)/8 + (-840)/(-1600)). Find l, given that 16/7 + 60/7*l + 2*l**x = 0.
-4, -2/7
Determine u so that 480/7*u**3 - 54/7*u**4 - 16/7*u**2 - 486/7*u**5 - 32/3*u - 32/21 = 0.
-1, -2/9, 2/3
Let j(w) be the first derivative of -w**3/6 + 11*w**2/2 - 20*w + 146. Factor j(z).
-(z - 20)*(z - 2)/2
Let c(d) be the second derivative of d**5/60 + 7*d**4/9 - 29*d**3/18 - 343*d. What is y in c(y) = 0?
-29, 0, 1
Let j(z) = z**2 - 18*z - 7. Let u be j(21). Let n = 58 - u. Factor -1/3*x**4 + 0*x - 2/3*x**n + 0 - x**3.
-x**2*(x + 1)*(x + 2)/3
Suppose 0*n = -v - 5*n + 10, -3*v = 5*n - 30. Suppose 11 + 9 = v*k. What is b in k*b - 1/2 - 3/2*b**2 = 0?
1/3, 1
Let f be 3 + 16/(-20) + 1. Let b be (-8)/(186/(-18) + 7). Factor -b*y**3 + 52/5*y + 24/5 + f*y**2.
-4*(y - 3)*(y + 1)*(3*y + 2)/5
Let g(n) be the first derivative of n**3/5 + 63*n**2/10 - 66*n/5 - 39. Factor g(p).
3*(p - 1)*(p + 22)/5
Let j(w) be the second derivative of 4/5*w**3 + 3/100*w**5 + 0 + 1/4*w**4 + 9*w + 6/5*w**2. Factor j(u).
3*(u + 1)*(u + 2)**2/5
Let f(a) be the second derivative of 5/18*a**4 + 0 - 1/9*a**3 - 11*a - 5/3*a**2 + 1/30*a**5. Factor f(v).
2*(v - 1)*(v + 1)*(v + 5)/3
What is o in 0 + 0*o**3 - 3/4*o**2 + 1/4*o**4 - 1/2*o = 0?
-1, 0, 2
Let u be (216/(-63))/((-1)/14). Let j be u/40*(-30)/(-9). Factor j*z**2 + 35 - 35.
4*z**2
Let u(i) be the second derivat