*u**3 - 7424/7*u - 2976/7 - 358/7*u**4 - 6656/7*u**2 + 2/7*u**5 = 0. Calculate u.
-2, -1, 186
Find l such that -2/15*l**3 - 208/15*l**2 - 806/15*l - 40 = 0.
-100, -3, -1
Let q(h) be the first derivative of -3*h**5/5 + 29*h**4/2 - 268*h**3/3 + 139*h**2 - 65*h + 2646. Find f such that q(f) = 0.
1/3, 1, 5, 13
Let g be 5/90 + (-18)/(-108). Let q = 118/135 - -2/135. Factor 8/9 - q*m + g*m**2.
2*(m - 2)**2/9
Let x(t) = 3*t**2 - 9*t + 21. Let q be x(6). Let o be 3842/15 - 10/q. Solve -4*i**2 + 27*i - o + 13*i + 24*i = 0.
8
Let d(l) be the third derivative of l**5/20 + 631*l**4/4 + 398161*l**3/2 + 1351*l**2. Factor d(c).
3*(c + 631)**2
Let 106/3*k**3 - 400/3*k - 292/3*k**2 + 0 - 2/3*k**4 = 0. Calculate k.
-1, 0, 4, 50
Let v(d) be the second derivative of d**5/30 + 160*d**4/9 + 8639*d**3/3 + 16854*d**2 + 898*d + 2. Factor v(f).
2*(f + 2)*(f + 159)**2/3
Suppose -743*d - 4*d = 79*d + 22*d - 190800. Solve -1/4*o**2 + 15*o - d = 0.
30
Suppose -104*v + 524 = -100. Let z be ((-203)/(-42))/(-29) + 1/v. Factor -2/21*l**3 - 2/7*l + 8/21*l**2 + z.
-2*l*(l - 3)*(l - 1)/21
Let d(q) be the second derivative of -4*q**6/15 + 27*q**5/70 + 59*q**4/42 - 4*q**2/7 + 1540*q. Let d(y) = 0. Calculate y.
-1, -2/7, 1/4, 2
Let r be 0 + (-116)/(-154) - 52/286. Factor -2/7*k**2 + 30/7 + r*k.
-2*(k - 5)*(k + 3)/7
Let o be 10*9*12/(-90). Let d be (o/(-21))/((-40)/(-56)). Factor 0 - d*i**2 - 2/5*i.
-2*i*(2*i + 1)/5
Let v(z) be the first derivative of -3/5*z**5 - 173 + 0*z**4 + 0*z**3 + 0*z + 0*z**2. Suppose v(x) = 0. What is x?
0
Let a(t) be the third derivative of t**4/6 + 31*t**3/6 + 11*t**2. Let c be a(-7). Factor -6*n**2 + 5*n**3 + 2*n**3 - 8 - 10*n**2 + 20*n - 3*n**c.
4*(n - 2)*(n - 1)**2
Find n such that 762/5*n - 2/5*n**2 + 0 = 0.
0, 381
Let v = -3 + 5. Let t be (0 - (v/(-1) + -28)) + 1. Factor 46*o - t*o - 27*o - 4*o**2.
-4*o*(o + 3)
Let t(z) = -2*z**4 + 4*z**3 + 2*z**2 - 4*z. Let d = 65 - 62. Let h(q) = 8*q - 6*q - q**4 + q**d + q**2 - 3*q. Let x(i) = 3*h(i) - t(i). Factor x(n).
-n*(n - 1)*(n + 1)**2
Let t = 48263 - 48260. Find a, given that 0 + 3/7*a**t + 30/7*a + 3*a**2 = 0.
-5, -2, 0
Let 6/5*f**2 + 106/5*f - 36/5 = 0. Calculate f.
-18, 1/3
Let f(c) = -59*c - 1463. Let l be f(-25). Let q = -3 - -6. Suppose -2*i**q + l*i**2 + 16 - 23*i + 8*i**2 - 11*i = 0. What is i?
1, 8
Solve 2/13*l**4 - 82/13*l**2 - 12/13*l**3 + 12/13*l + 80/13 = 0.
-4, -1, 1, 10
Let j(i) = -249*i - 1988. Let x be j(-8). Let a(c) be the second derivative of 1/40*c**5 + 1/24*c**x + 6*c - 1/4*c**2 - 1/12*c**3 + 0. Factor a(r).
(r - 1)*(r + 1)**2/2
Let n be (2 + -2 + 1)*(-154 - -56). Let v = n - -100. Factor -2/7*c**v + 0 - 6/7*c.
-2*c*(c + 3)/7
Suppose -8*b + 120 = -24. Solve b*n**2 - 62*n + 2*n**3 - 23*n + 43*n + 22 = 0.
-11, 1
Let w(s) = -134*s + 119*s + 58*s - 518 - s**2 - 14. Let a(m) = -4*m**2 + 173*m - 2127. Let q(f) = 6*a(f) - 22*w(f). Factor q(t).
-2*(t - 23)**2
Suppose 2*h - h = 0. Let t(d) = d**2 + 118*d - 609. Let n be t(5). Find q such that -n*q**3 + 10*q**5 + 0*q**3 + 0*q**4 + h*q - 4*q + 14*q**4 - 14*q**2 = 0.
-1, -2/5, 0, 1
Let w(n) = -22*n**3 + 108*n**2 - 1016*n - 1152. Let z(u) = 3*u**3 + 4*u**2. Let x(t) = w(t) + 6*z(t). Let x(o) = 0. What is o?
-1, 16, 18
Let s = 6674 - 6672. Let i(j) be the second derivative of -16*j + 4/3*j**3 + 1/10*j**5 + 0 + 0*j**s + 4/3*j**4 - 1/5*j**6. Factor i(g).
-2*g*(g - 2)*(g + 1)*(3*g + 2)
Let q(j) be the second derivative of -j**5/5 - 259*j**4/3 - 32750*j**3/3 + 102966*j**2 - 1723*j. What is t in q(t) = 0?
-131, 3
Let q(c) be the first derivative of 3*c**5/5 + 669*c**4/4 - 904*c**3 + 1362*c**2 + 3524. Factor q(a).
3*a*(a - 2)**2*(a + 227)
Let m = -86 + 90. Suppose 48*t - 6*t**3 + 64*t**2 + t**3 - 7*t**3 + 4*t**5 - 24*t**m = 0. What is t?
-1, 0, 2, 6
Suppose -6*o - 160 = -11*o. Find c such that -36860*c**4 - 80*c**2 + 78*c**3 + 36832*c**4 + 4*c**5 + o*c - 6*c**3 = 0.
0, 1, 2
Suppose 4 = 8*n - 28. Let -6*j**n + 18*j - 3*j**3 + 3*j**4 + 27*j**2 + 7*j + 2*j = 0. What is j?
-3, -1, 0, 3
Suppose 4*b = -5*s + 38, -s - 2 + 0 = -4*b. Determine q so that -9*q**3 + s*q + 3*q**2 - 32*q**5 + 35*q**5 - 5*q**4 + 2*q**4 = 0.
-1, 0, 1, 2
Let t be (20/25)/((-12)/(-10)). Let w(q) = q**3 + 10*q**2 + 28*q + 24. Let k be w(-3). Factor 2/3*a**k - 2/3*a + t - 2/3*a**2.
2*(a - 1)**2*(a + 1)/3
Suppose -6*h = -1102 - 302. Factor 230*o**2 + 16*o - h*o**2 - 12 - 4.
-4*(o - 2)**2
Suppose -43*u**2 - 95*u**2 + 18*u**2 + 20*u**3 + 205*u - 15*u**3 + 330 = 0. Calculate u.
-1, 3, 22
Let h(m) be the third derivative of -m**6/180 + 1019*m**5/10 - 3115083*m**4/4 + 3174269577*m**3 - 821*m**2 - 7. Factor h(s).
-2*(s - 3057)**3/3
Let z(x) be the first derivative of x**6/420 + x**5/35 + 3*x**4/28 - 5*x**2/2 + 152. Let o(w) be the second derivative of z(w). Suppose o(p) = 0. Calculate p.
-3, 0
Let z = -167417 + 334835/2. Factor 0*j**2 + z*j**5 + 1/2*j - j**3 + 0 + 0*j**4.
j*(j - 1)**2*(j + 1)**2/2
Let z(b) be the third derivative of -b**7/315 + 107*b**6/180 - 2567*b**2. What is o in z(o) = 0?
0, 107
Let t be -8 + 11 - (0 - -1). Factor -5*a**2 - 29*a + a**2 - 56 - 5*a - t*a.
-4*(a + 2)*(a + 7)
Suppose 3*t = -4*y - 37, 4*y - 373*t = -377*t - 52. Find o, given that -8/3 + 5/3*o**3 + 10/3*o**y - 2/3*o**4 - 4/3*o - 1/3*o**5 = 0.
-2, -1, 1, 2
Let h(n) be the third derivative of -23/6*n**5 - 1/42*n**7 + 1/2*n**6 + 0*n - 125/6*n**3 + 25/2*n**4 - 9*n**2 + 3. Let h(p) = 0. Calculate p.
1, 5
Let t(g) be the second derivative of -16/3*g**2 - 76*g + 0 + 1/9*g**4 + 4/9*g**3. Solve t(x) = 0.
-4, 2
Let n(h) = -2*h**3 + h + 1. Let r(k) = -17*k**3 + 71*k + 66. Let c(j) = 6*n(j) - r(j). Factor c(q).
5*(q - 4)*(q + 1)*(q + 3)
Let z(y) be the second derivative of 1/6*y**4 + 0*y**2 - 5/6*y**3 - 35*y + 0 + 1/36*y**5 + 1/540*y**6. Let f(v) be the second derivative of z(v). Factor f(j).
2*(j + 2)*(j + 3)/3
Let g(k) be the third derivative of -1/8*k**4 + 0*k - 4*k**2 - 6 + 0*k**3 - 9/40*k**5 - 7/80*k**6. Factor g(w).
-3*w*(w + 1)*(7*w + 2)/2
Let k(r) = r**2 - 2*r - 32. Let s be k(-5). Suppose -c = s*m - 57, 3*c + m - 67 = 104. Let 57 - 2*q**3 + q**5 - c - q**4 = 0. What is q?
-1, 0, 2
Let i(y) be the second derivative of y**6/150 - 3*y**5/10 + 11*y**4/5 + 187*y**3/3 - 6069*y**2/10 + 2644*y. Factor i(f).
(f - 17)**2*(f - 3)*(f + 7)/5
Let d(p) be the first derivative of -1/20*p**5 - 19 - 1/32*p**4 + 0*p + 5/24*p**3 - 1/8*p**2. Factor d(l).
-l*(l - 1)*(l + 2)*(2*l - 1)/8
Factor -532*i**3 + 1219*i**3 - 2320*i**2 + 16*i + 469*i**3.
4*i*(i - 2)*(289*i - 2)
Let n be -14 - (-20 - 72/(-12)). Let t(h) be the first derivative of 8/9*h**2 + n*h - 16/27*h**3 - 22 + 1/9*h**4. Let t(c) = 0. Calculate c.
0, 2
Suppose 0 = -8*p + 174 + 690. Let v be (30/p)/(6/24). Factor -v*t**2 - 2/3 + 14/9*t + 2/9*t**3.
2*(t - 3)*(t - 1)**2/9
Let n be (-4900)/2800*(-16)/14. Factor -6/23 + 2/23*a**n - 4/23*a.
2*(a - 3)*(a + 1)/23
Let o(q) be the first derivative of -q**5/15 + 3*q**4/2 - 20*q**3/3 - 100*q**2/3 + 2062. Factor o(t).
-t*(t - 10)**2*(t + 2)/3
Let p(a) be the first derivative of -a**8/840 - a**7/105 - a**6/60 + a**3/3 - 38*a - 7. Let z(d) be the third derivative of p(d). Determine i so that z(i) = 0.
-3, -1, 0
Suppose -26 + 46 = 4*u. Let i be (-3 + 38/10)/(2/u). Determine r, given that 40*r**4 - 270 - 90*r**i + 112*r**3 - 32*r**3 + 79*r - 484*r + 5*r**5 = 0.
-3, -1, 2
Determine w, given that -531/5 + 531/5*w**2 + 3/5*w**3 - 3/5*w = 0.
-177, -1, 1
Let u(k) be the first derivative of -28*k**3/3 - 62*k**2 - 48*k + 346. Factor u(i).
-4*(i + 4)*(7*i + 3)
Suppose 382 - 447 = -5*l. Suppose 2*n - l + 9 = -5*j, 0 = 3*j - 3*n - 15. Suppose -1/3*w**3 - 1/3*w**j + 4/3 + 4/3*w = 0. What is w?
-2, -1, 2
Suppose 92 + 3445*q**2 - 6888*q**2 + 90*q + 3441*q**2 = 0. Calculate q.
-1, 46
Let a(x) = -2*x**2 - 60*x - 152. Let u be a(-27). Suppose -u*i - 7*i + 51 = 0. Solve -14/19*q**4 + 4/19 + 10/19*q**2 + 18/19*q**i - 18/19*q = 0 for q.
-1, 2/7, 1
Let l(b) be the first derivative of b**4/28 + 36*b**3/7 + 1944*b**2/7 - 131*b + 105. Let y(j) be the first derivative of l(j). Determine z, given that y(z) = 0.
-36
Suppose -39 = -18*m - 3. Let b(j) = 14*j**2 - 319*j - 66. Let y be b(23). Factor 2*h**y - 1/2*h**4 - 3/2*h**2 + 2 - m*h.
-(h - 2)**2*(h - 1)*(h + 1)/2
Suppose 0 = -o - 6*a + 51, -a = 268*o - 264*o - 20. Factor -4/5 - 6/5*x + 2/5*x**2 + 2/5*x**4 + 6/5*x**o.
2*