t -19*s**2 + 264 - 90*s + 12*s**2 - 28*s**2 - 219 = 0. Calculate s.
-3, 3/7
Let i(g) = 320*g**2 - 11*g + 3. Let p be i(2). Let b = p - 1259. Solve -1/4*l**4 - 13/4*l**b + 9/2 + 3/4*l - 7/4*l**3 = 0 for l.
-3, -2, 1
Suppose 0*s + 138*s**2 - 3/2*s**4 - 273/2*s**3 + 0 = 0. What is s?
-92, 0, 1
Let n(i) be the third derivative of i**6/24 + 31*i**5/3 + 5825*i**4/24 + 2375*i**3 + 3286*i**2. Factor n(u).
5*(u + 5)**2*(u + 114)
Suppose 4*s - 3*z = -19 - 3, 0 = -4*s - 4*z - 8. Let t be (-5*(-1)/(-10))/(6/s). Suppose 1/6*x**3 - 1/2*x + t*x**2 + 0 = 0. What is x?
-3, 0, 1
Factor 14946/5*o**2 + 294/5*o**3 + 57434*o + 2/5*o**4 + 1245876/5.
2*(o + 6)*(o + 47)**3/5
Suppose 3 = 4*i + 5*l, -7*l + 2*l = 5*i - 5. Factor 0*g**5 - 7*g**5 - 35*g**i - 87*g**4 - 75*g**3 + 2*g**5 + 100*g**2 + 122*g**4 - 20*g.
-5*g*(g - 4)*(g - 1)**3
Let t(k) be the third derivative of -k**6/480 - 23*k**5/240 + 49*k**4/96 - 25*k**3/24 + 765*k**2. Factor t(u).
-(u - 1)**2*(u + 25)/4
Let x = 741573/55 + -148308/11. Solve 36/5*k - 3/5*k**5 + 12/5 + x*k**3 + 33/5*k**2 - 9/5*k**4 = 0.
-2, -1, 2
Let -3744*p - 596*p**2 + 145*p**2 - 10329*p**2 - 4*p**4 + 416*p**3 + 149916 - 52572 = 0. What is p?
-3, 3, 52
Factor -231/2*q + 144 - 111/4*q**2 - 3/4*q**3.
-3*(q - 1)*(q + 6)*(q + 32)/4
Let d(y) be the second derivative of 5/6*y**4 - 163*y + 0 - 7/2*y**5 + 38/3*y**3 + 19/15*y**6 - 24*y**2 - 1/7*y**7. Let d(t) = 0. What is t?
-1, 1, 4/3, 2, 3
Let h = -2/41523 + 1993114/207615. Factor 3/5*l**4 + 0 - 66/5*l**2 + 3*l**3 + h*l.
3*l*(l - 2)*(l - 1)*(l + 8)/5
Let u(d) = 5*d + 39. Let c be u(-7). Factor 45 + 31 - 75*w**2 + 4 - 40*w + 40*w**3 - 5*w**c.
-5*(w - 4)**2*(w - 1)*(w + 1)
Let t be (-145)/875 + (-7)/(-42). Let v(z) be the third derivative of 0 - 1/150*z**6 + 0*z - 1/30*z**3 + 2*z**2 - 1/50*z**5 - t*z**7 - 1/30*z**4. Factor v(s).
-(s + 1)**4/5
Let h be 1*(-6)/18 + (-1)/(-3). Suppose -g = -4*c, h = -0*c - 2*c - 3*g. Factor 4/11*r**2 + 2/11*r**3 + c + 2/11*r.
2*r*(r + 1)**2/11
Let t = 27723 - 27723. Let z(h) be the second derivative of -1/25*h**6 + 0 - 4/5*h**2 + 3/10*h**4 + t*h**3 + 21*h + 1/25*h**5. Determine n so that z(n) = 0.
-1, 2/3, 2
Factor 80/7*r + 18/7*r**3 + 0 + 52*r**2.
2*r*(r + 20)*(9*r + 2)/7
Solve 0 + 1/8*z**5 - 3/8*z**2 + 5/4*z + 3/8*z**4 - 11/8*z**3 = 0.
-5, -1, 0, 1, 2
Let w(f) = 16*f**2 - 140*f + 139. Let q(p) be the second derivative of -p**4 + 70*p**3/3 - 69*p**2 - 4*p + 22. Let s(g) = 3*q(g) + 2*w(g). Factor s(u).
-4*(u - 34)*(u - 1)
Let d(h) = 6*h**2 + 2490*h - 2522. Let r(o) = -o**2 - 415*o + 420. Let q(v) = 2*d(v) + 13*r(v). Let q(t) = 0. What is t?
-416, 1
Let q(c) be the third derivative of c**5/12 + 25*c**4/8 - 85*c**3/3 - 329*c**2. Solve q(x) = 0 for x.
-17, 2
Suppose -6*n = -5*q + 55, -4*n = 5*q - 58 + 3. Factor n + 6/11*k + 2/11*k**3 + 8/11*k**2.
2*k*(k + 1)*(k + 3)/11
Let k = -14 - -3. Let r = -3 - k. Factor 22*a + 4*a**2 + 8*a**2 + 3*a**2 + r*a**3 + 11*a**2 + 4.
2*(a + 1)*(a + 2)*(4*a + 1)
Suppose -51*p + 44*p - 14 = 0. Let y(n) = 5*n**2 - 60*n - 2. Let l(q) = -20*q**2 + 240*q + 9. Let o(b) = p*l(b) - 9*y(b). Suppose o(k) = 0. Calculate k.
0, 12
Suppose 3*c - 12 + 1 = 4*w, 2*w = 4*c - 18. Determine l, given that -10*l**3 - 132*l**2 + 73*l**4 + 20*l**5 + 15*l**4 + 11 - 5 + 10 + 8*l + 10*l**c = 0.
-2, -1/3, 2/5, 1
Let w = -235049/2 + 117525. Factor -w*f**4 + 0 + 0*f**3 + 3/2*f**2 - f.
-f*(f - 1)**2*(f + 2)/2
Suppose 5*d + 25 = 0, -35 = 5*v + 2*d + d. Let t(i) = 11*i**2 - 8*i. Let k(x) = 2*x**2. Let s(p) = v*t(p) + 20*k(p). Factor s(f).
-4*f*(f - 8)
Let k(h) = -h**2 + 8*h + 4. Let j be k(6). Let d(r) = r - 2. Let m be d(j). Find a, given that -5*a**3 - 6*a**2 - 28*a**2 + m*a**2 = 0.
-4, 0
Let i = 339367 + -2375537/7. Find z, given that -18/7*z**4 + 0 + 88/7*z**2 + i*z + 48/7*z**3 = 0.
-2/3, 0, 4
Let w(y) be the second derivative of -y**5/70 + 5*y**4/7 - 19*y**3/7 + 4*y**2 - 191*y - 2. Solve w(d) = 0.
1, 28
Let q(m) be the first derivative of m**5/5 - 11*m**4/4 - 13*m**3/3 + 11*m**2/2 + 12*m - 2618. Factor q(u).
(u - 12)*(u - 1)*(u + 1)**2
Let d = 1119 + -78329/70. Let c(q) be the third derivative of -3/20*q**5 + 0*q + d*q**7 - 1/4*q**4 + 0 - 24*q**2 + 0*q**3 + 0*q**6. Factor c(g).
3*g*(g - 2)*(g + 1)**2
Let n(v) be the second derivative of 0 + 5/4*v**4 + 10*v**2 + 1/2*v**5 - 20/3*v**3 - 104*v - 1/6*v**6. Factor n(w).
-5*(w - 2)*(w - 1)**2*(w + 2)
Let v = -1071 - -4285/4. Suppose -3*p - 9*p = p. Factor v*j**2 + p - 3/4*j.
j*(j - 3)/4
Let v be 6 + (22 - -6)/(-7). Factor 0*y**v - 4*y**2 + 6 - 3*y - 2*y**2 + 3*y**2.
-3*(y - 1)*(y + 2)
Suppose 23 + 2 = 5*a. Let g = -1307 + 1311. Factor -28*p**4 + 2*p**5 + 8*p**g + 10*p**2 - 17*p**5 + a*p**3.
-5*p**2*(p + 1)**2*(3*p - 2)
Let k(m) be the third derivative of m**7/168 + 5*m**6/36 + 3*m**5/8 - 109*m**3/6 + m**2 - 54. Let z(c) be the first derivative of k(c). Factor z(n).
5*n*(n + 1)*(n + 9)
Suppose 0 = 11*p - 10*p + 4*z + 24, -5*p = -3*z - 18. Let v**2 + v**3 + p + 1/3*v**4 + 1/3*v = 0. Calculate v.
-1, 0
Let l(g) be the third derivative of -g**8/1008 - 11*g**7/630 - 23*g**6/180 - 23*g**5/45 - 11*g**4/9 - 16*g**3/9 + 517*g**2. Factor l(v).
-(v + 1)*(v + 2)**3*(v + 4)/3
Factor 2*a + 2/11*a**2 + 56/11.
2*(a + 4)*(a + 7)/11
Let a(n) be the first derivative of n**3/5 - 39*n**2/5 + 459*n/5 - 121. Suppose a(c) = 0. Calculate c.
9, 17
Determine m so that -44*m - 8*m**5 - 117*m**4 - 112*m**3 + 64*m - 44*m - 92*m**2 + 65*m**4 = 0.
-3, -2, -1, -1/2, 0
Let d = 258 - 254. Find t, given that 51 - 104 + 6*t**2 - 3*t**d + 50 = 0.
-1, 1
Let c be 420/(-360) + (-76)/(-24). Let z(h) = -h**2 - 3*h - 2. Let r be z(-2). Factor -3/2*j**3 + 3*j**c + 0*j + r - 3/2*j**4.
-3*j**2*(j - 1)*(j + 2)/2
Let x = 14815 - 14813. Let c(i) be the second derivative of -10/21*i**3 - 19*i + 0 + 1/126*i**4 + 75/7*i**x. Solve c(f) = 0.
15
Let t be (((-54)/(-135))/((7/(-28))/((-5)/4)))/1. Find o such that -16/5 + 4/5*o + 2/5*o**t = 0.
-4, 2
Let a(p) be the first derivative of p**4/18 - 50*p**3/27 + 2*p**2 + 32*p - 3739. Let a(k) = 0. What is k?
-2, 3, 24
Let d(v) be the first derivative of 20/3*v**3 + 25/2*v**2 + 5/4*v**4 - 243 + 10*v. Let d(w) = 0. What is w?
-2, -1
Let b be 3/(-110)*(-240)/(-360). Let z = 113/165 + b. Solve 4*c**2 - 16/3*c**3 + 50/3 + 80/3*c + z*c**4 = 0.
-1, 5
Suppose 16 = -5*c - 9, 3*c = -5*n - 7610. Let a = n - -4678/3. Factor 22/3*x + 1/3*x**2 + a.
(x + 11)**2/3
Suppose -1712/3*u - 19/6*u**3 - 95*u**2 + 1/6*u**4 - 2368/3 = 0. What is u?
-8, -2, 37
Let d(o) = -2*o**2 + 80*o + 804. Let v(z) = -z**2 + 1. Let m be (-646)/133 - (-6)/7. Let j(r) = m*v(r) + d(r). Factor j(l).
2*(l + 20)**2
Let q(r) = 3*r**3 - r**2 - 965*r + 967. Let b be q(1). Let -21/2*u + 3/5*u**b - 1/10*u**5 - 56/5*u**2 + 9/5*u**3 + 45 = 0. Calculate u.
-3, 2, 5
Let j(n) be the second derivative of -14641*n**6/30 - 121*n**5/10 - n**4/12 - 5*n + 45. Determine s, given that j(s) = 0.
-1/121, 0
Solve -36*g**2 - 23*g - 25*g + 2*g**4 - 184*g + 264*g + 64 - 2*g**3 = 0 for g.
-4, -1, 2, 4
Let g(c) = 2*c**2 - 499*c + 30224. Let d be g(146). Factor 0 - 24*j**3 - 4/3*j + 10*j**d + 56/3*j**4.
2*j*(2*j - 1)**2*(7*j - 2)/3
Let u(n) = -n**3 + 31*n**2 + 88*n + 56. Let s = -151 + 195. Let d(k) = 8*k**3 - 216*k**2 - 616*k - 392. Let j(y) = s*u(y) + 6*d(y). Factor j(h).
4*(h + 1)*(h + 2)*(h + 14)
Let j = 315 + -319. Let y be ((-1)/j)/((16/(-28))/(-4)). Factor -15/4*u + 3/4*u**3 + 9/2 + 1/4*u**4 - y*u**2.
(u - 2)*(u - 1)*(u + 3)**2/4
Let g(v) be the second derivative of v**3 - 41*v - 2*v**2 - 1/6*v**4 + 0. Determine b, given that g(b) = 0.
1, 2
Suppose -228*n - 18*n**3 + 54*n**3 - 216 + 34*n**2 - 6*n**2 - 4*n**4 = 0. What is n?
-2, -1, 3, 9
Let x(a) be the third derivative of 1 - 1/4*a**4 - 4*a**3 + 0*a + 1/20*a**5 + 13*a**2. Factor x(z).
3*(z - 4)*(z + 2)
Suppose 4*t - 23 = -5*q, -689*q - 2*t = -687*q - 10. Find a such that 5/4*a - 1/4*a**4 - 7/2 + 15/4*a**2 - 5/4*a**q = 0.
-7, -1, 1, 2
Factor 7*t**3 - 984*t - 245*t - 297*t + 4250 - 49*t + 120*t**2 - 2*t**3.
5*(t - 5)**2*(t + 34)
Let c(t) = 9*t**3 + 5*t**2 - 6*t + 4. Let i be c(1). Let x(u) be the second derivative of 0 - 1/48*u**4 + 0*u**2 - 1/12*u**3 + i*u. Let x(o) = 0. Calculate o.
-2, 0
Suppose -5*b = w + 20, 126 = 5*w - b + 122. Let x(y) be the first derivative of 2/9*y**2 + 1/9*y**4 + 33 - 8/27*y**3 + w*y. Factor x(d).
4*d*(d - 1)**2/9
Let k(s) b